{ "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\n", "import math" ] }, { "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)[2023/10/23 16:05]... (1.1 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", "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)[2023/10/23 16:05]... (0.8 s)\n" ] }, { "data": { "image/png": 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", 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" ] }, "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)[2023/10/23 16:05]... (0.5 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))\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)[2023/10/23 16:05]... (0.4 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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", 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" ] }, "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)[2023/10/23 16:05]... (0.8 s)\n" ] } ], "source": [ "system = mm.System(name='macrospin_sin')\n", "system.energy = mm.Zeeman(H=(0, 1e4, 5e4), func='sin', f=.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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", "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": "code", "execution_count": 13, "id": "e6c3df79-25cb-450c-84c5-a494e6753e31", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:05]... (1.1 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 = np.exp(-t_sample/T) * np.sin(omega * t_sample) + 0.2 # + 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)[2023/10/23 16:05]... (1.0 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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c9DparQatdnALx45Hp9P2+H9/VLTVYLKaABgSm4Ve77r3L+MTR7GvPp/ytkrazK3Ehsa47Nz+ZjBjKLyHjKN/kHH0DzKO/sGbx9FnE9/29nYAVqxYQVZWFr/97W8JDg7m888/56mnnqKuro6bbroJgODg4F6vDwqy3dLv7Ow86XXi4yMG3THhZKKjw/r9mj3N9c6Px2UOJy4iwmXxnKGfzHv5nwBQ1FHEeWlnuuzc/mogYyi8j4yjf5Bx9A/ePI4PP/ywcwE9gFarJT4+njFjxnDrrbdyxhlnqBidd/HGcfTZxFen0wFgMpl48cUXCQ0NBeCMM86gpqaG119/ndtvv915zLGMRiMAYWEnH5SGBoPbZnyjo8NoaenAYrH267X7q2wL28L1Yei6Qmg0GlwWV6gSQUJoHPWdjWwr3cOkuIkuO7e/GcwYDpRVsV3HVXXdQp1xFK4n4+gffGEcu7rMxMXF8dZbttapFouVmpoqXnnl/7j11lt59dU3GDVqjMpRqkuNcYyL69skoM8mvrGxseh0OsaOHetMeh3OOussvvvuO/Lz8wkODj5uOUNdXR0ASUlJJ72O1apgtSquC/wYFosVs7l//yhKmssByIzKwGJRANfGlxs7lPqqRkpayvodWyAayBj2l6IobKv+if8c+oxwfTgLJ91GfGjvEh4xcJ4YR+F+Mo7+wZvHUVEUNBotMTHxzsfi4xP5zW8e5YorLuL7779n+PBRKkboPbxxHH028Q0KCmL48OHHTWotFlt/25CQEPLy8o7bucHx2Nixg9vq19MURaG0zdbRISvSdQvbusuMTGcL26lpr6PT3EWoPsQt1xF902Y08G7+h+yo3Q1Aq7GNf+x8lQem3EF4ULjK0QkhRN8pxnasTZUnPkCnpbM9FHNrp9tnCrWxaWiCXf87NDo6mkce+V/y8/N5//2Pe5RLrlq1gj/+8Xe8+eb7DB067JTn+tOf/shXX31+3Of+/e9PSUuz5QErVnzJBx+8R3FxETqdjhkzTmPhwvt7bI28d+8eXnnlRQ4ezKejo52RI0ezYMFCxo+33dndvn0b99yzgGeeeY6PPvo327dvIywsnOuvv4lLL72Cv/zlT2zZsonw8HDmzbuZn//8eue5N23ayOuvv8LBg/loNBqysnK4++67mD79LOcxM2dO4+6776etrY3PPvsYg8HA6NFj+J//+S1ZWdn9+yYPgs8mvgCXXHIJf//73zl48GCPzg3r1q0jLCyMUaNGMWfOHP76179y4MABRo2yvQOzWq189tlnjBo1iqFDh6oV/oA0dDbSYe4AINOFHR26c3SKUFCoMFQxLCbHLdcRp7a7bh//OvABrcY2ACL04RjM7VQZqlm263XunnQ7QboglaMUQohTU4zttL39IBjbT3pcq4fiITicyHnPuCT5bWio57nnniUpKZkLLriI7Owc7r9/ITt2/MiUKdOcx61evZLx4yf0KekFuPfeB1mwYKHz866uLu6//y7i4xOcSe2KFV/y+OOPMnfu9Tz66OM0NNSzZMnT3Hffnbz22jsEBQVRUlLMvfcuYOzYCTzzzHPo9XrefHM5999/F6+88hY5OUOc13jxxee56aZbufvuRSxf/hIvvPB3Nm3awJw5l7JgwUKWL/8/nn9+CTNnziI9PYPy8jIefngRc+Zcym9/+we0Wi1ffPEJ9913H6+++ia5uSOc5/7kkw+ZOXMWzz33T+rq6njkkYdYsuRpnn126SBHoO98ulDwxhtvJDs7m9tvv52vvvqKH374gd/85jds3ryZ22+/nfDwcG688UZycnK4++67WbFiBZs3b+aBBx7g8OHDPPzww2p/Cf3mmO0FyI7KcMs1MrrNJDv6BQvP6jB38ub+91m26zVn0ntW+mk8dubDzMqwLZw43FzI6/veddb9CiGE8IzGxgYuvPBsLrzwbM4//yyuuOIi9u7dzeLFfyY2NpZp004jMzOLL7/8zPmatrY2Nm/+gcsuu6rP14mMjCQhIdH536uvvkRnZydPPPEUer1t7vKNN15l0qQp3HvvA2RlZTNx4mR+97s/UFxcxNq1qwF4//230Wp1/OlPf2HkyFHk5g7nN795lPDwCN599189rnn66Wdx/vk/IzMzi7lz56EoCunpGVx88WX2x67HarVy6NBBABITk3j99Xe5994HycrKJiMjk9tum4/FYmHr1s09zh0WFs6dd95LdvYQpkyZxsyZs9i/f+9AhmDAfHrGNzIykrfeeotnnnmGxYsX09bWxtChQ3niiSeYO3cuAOHh4bz55pv85S9/4dFHH6Wjo4MxY8bw4osv+uTKy9JWW31vsDaI5PCT1ycPVERQOHEhsTR2NVHWVu6Wa4gTUxSFf/z0MoUtJQDEBEcxb9R1jEscDcDcEVfS3NXCzrq97KjdzX8OfsZ1eVe4tfuIEEIMlsY+w3qyUgedTktUVCitXl7qEBMTw7Jly52fNzU1sXXrJu6//y4WLryfq6++jiuuuJrly/+PRYseIjw8nO++W4teH8T55184oGt++OG/Wb16JUuXvkhCQiIABkMbxcVFzJ59cY9j8/JGEh0dQ0HBAWbPnsO+fXsYM2YskZGRzmNCQkIYP34CBQUHerx25Mij9cnR0dEADB8+otdjBkOb8zyFhYd59tmnKCoqtHfdsq09am5u7nHusWPH9fg8NjaO1taWfn8vBsOnE1+wLU576qmnTnpMSkoKf/3rXz0UkXuV2RPfjMg0t67sz4rKsCW+rSepxRJucbDpsDPpnZw0nutHXUtEt1perUbLf42dx9KfXuJIczHflm0gLjSWn2Wfo1bIQgjRJ5rgcHTJuSd8Xq/XEhoXQUejAbxsUVR3Wq2OzMws5+eZmVmMGzcek8nE0qVLuOCC2VxyyRX83//9kzVrvuGyy65k1aqV/Oxns0/ZTep49uzZzdKlz3LvvQ8wbtwE5+MGg62r02uvvcxbb73W4zWdnZ3U19c5jzt8+BAXXnh2j2OMRiNxcfE9HgsNPRqfY0Kle8yOxxTFltyuW7eWRx55iPPO+xmPPfYk8fHx6PVa5s69qtfXERbW842GGhM2Pp/4BppSe+lBppvKHBwyI9PYVbeXCkMlFqsFnVbn1uuJo9aX224NhenDuHnMLwjW9e5DHawL4tcT/otnf3yB6vZaPjr0BXEhMUxNmeThaIUQQjiMGjUGo7GLsrISxowZxznnnM8336xg5sxz+PHHLbz44vJTn+QYjY0N/P73D3HRRZdw1VXX9XguMjIKgJ//fB6XX35Vr9c6EtaoqGiSk1N46KFHeh2j1Q5uEm3lyi9JSkpm8eI/O8/V1FR/ilepx6drfANNq7GNZqPtloC7Ojo4OBJrk9VMdXutW68ljmo1tvFT7R4ATk+detyk1yEyKIK7Jt5GdLDtF98HBz/DYrV4JE4hhBC9FRcXAba6V4CrrrqWn376kQ8+eJehQ3P73d/XYrHw6KO/ITExkUWLHur1fHh4OMOG5VJSUkxmZlaP/7rP5o4dO46SkiKSk1N6HKMoirNsYqBMJjPR0dE9EugvvrDVNjtmhb2JJL4+xFHfC+7r6OA8f/cFbm2ywM1TfqjcikWxJa8zM0475fEJYfH8YuTVALQYWyloPOzW+IQQQti6Q9XX1zn/Ky0t4ZNPPuT111/mmmvmkpycAsCkSVPIysrhzTeXc/nlV/b7OsuWPU9BwQEeeOBhWltbelzTsYPtTTfdwvr163jllRcpKiqksPAIzz//N2699QYKCmytW+fOvZ729nYWL/4dBw7so6KinE8//YhbbpnHp59+dLIQTmncuPEUFh5h9eqVVFSU8/bbb7J37x7S0tLIzz/g3DfBW0ipgw9xdFjQarSkR6S69VrxobGE68NoN3dQ1lbBDKa49XrCtiubo8xheOxQUiNS+vS6cQmjnG3ONldtZ3TCiFO/SAghxIA1NTVy5ZVznJ+Hh0eQkZHBHXfc3asc4fzzf8bbb7/B7NmX9Ps6a9euwmAwcPvtN/d67pZb/pvbbvs1F144B61Wy7/+9TpvvfUaOp2OUaPG8OyzzzNqlG1RdGZmFkuXvsRLL/2Du+9egMlkJCsrm4UL7+sVb3/NnXs9xcVFPP30/0Oj0XDWWWfzhz88zjfffMGSJX/jscce4bnnlg3qGq6kUbxxHtqL1Na6p6OgXq8lLi6CxkZDn3c1eXnPW+yo2UVGZBq/nXG/W+Lq7u/bX6Sg6TAj44Zzz+T5br+erxnIGJ7Mvvp8/rHzFQBuGXM901In9/m17+R/yPryTQRrg/h/Mx+VTUf6wdXjKNQh4+gf/G0crVYrt956IxMmTDxuqYK/UmMck5Ki+nSclDr4EEdHh0w31/c6OMopytoqvLJOx9+sr7DN9kYGRTAxeXy/Xntaqm1G3mg1savOsz0RhRBC9NTR0UF5eRlPPvk4NTXV/OpXt6kdkrCTUgcf0WHupLbDtkoyy80dHRwcCbbB1E5TVzNxobEeuW4gaupqZnfdPgBOT5tGkLZ/P5pDo3NICI2nvrOBrVU7mJEqpSlCCKGW77//lj/96Y/k5ubxzDN/77WA7IEH7mHXrh0nPUdKShpvvfW++4IMUJL4+ojytqP9dD094wu2WV9JfN3nh4qtzh3Yzko/9aK2Y2k0GmakTuarotXsbyigxdjq7PYghBDCs2bPvrjXphLdPfzwI3R1dZ30HI6d2YRryXfVR3iyo4NDangyeo0Os2KhrLWC8Yn9a8Mi+sZitTjLHEbF5ZEcPrDWMtNTbImvgsKP1Ts5L2umK8MUQgjhIklJyWqHELCkxtdHODo6JIUlEKYP9cg1dVodaZG27hGl0tLMbfY15NPUZdvWcWbG6QM+T0pEMjlRtp2EtlT96JLYhBBCCH8iia+PKG2zL2zzUH2vg2OjDEfiLVxvffkmAKKDo5gwyFn16fZOECWt5VQZqgcdmxBCCOFPJPH1ASarmUp7EuPuHduOlWEvq6jvbKDd1OHRaweC+o5G9tbbGoyfmTZ90FtDT0uZhFZj+7HeWnXyhRNCCCFEoJHE1wdUtlU5Fz55esa3+0K6cil3cLkfKregoKBBw5kDWNR2rKjgSEbH2zaw2Fq9w/nvRgghhBCS+PoER5kDQJaHFrY5ZEamOT8u69ZZQrjG3voDAIyMG05CWJxLzjkjxVbuUN/ZyJHmYpecUwghhPAHkvj6AEd9bUxwlMdbVIXqQ0kKSwB6dpYQg9dh7qDUPrYj44e77LwTksYSogsGYEvVdpedVwghhPB10s7MBziSI09tXHGszKgMajvqKZNSB5c63FSEgm1HvLzYYS47b7AumElJ49lc9SPba3Yxd8SV/d4QQwghxPH96U9/5KuvPnd+rtVqiY2NY8SIkVx//U1MnTpdxejEqciMr5ezKlZnba2n63sdHHW+VYYazFazKjH4o0NNhYAtUc2OynTpuR07t3WYO9hbt9+l5xZCiEAXGxvHJ598zSeffM1//vM5f/7zMwDcf/9dHDggv3O9mSS+Xq6mvQ6j1QR4vqODg6PO16JYnN0lxOAdbDoCQG7MkEF3czjWiLhcZ1nM7nr5JexNChoP89Ku1/n8yEosVova4QghBkCr1ZKQkEhCQiJJScmMGzee3/72D1itVn74Yb3a4YmTkPufXq6qvcb5sWMzCU/rXmJR1lqhWsmFP+k0d1LSWgbAcBeWOThoNVpGxg1na/UO58yyUFdpazmfHP6K/Q0FAOys20tZWzm3jL3BWZMthPB90dHRbN++jXvuWXDc52+55b+57bZf9+lcx5ZVdPfvf39KWpptQmzFii/54IP3KC4uQqfTMWPGaSxceH+PHeL27t3DK6+8yMGD+XR0tDNy5GgWLFjI+PETAZwxP/PMc3z00b/Zvn0bYWHhXH/9TVx66RX85S9/YsuWTYSHhzNv3s38/OfXO8+9adNGXn/9FQ4ezEej0ZCVlcPdd9/F9OlnOY+ZOXMad999P21tbXz22ccYDAZGjx7D//zPb8nKyu7T98MVJPH1cjXttYAtkUkMjVclhujgKKKCImk1tUmdr4scaS52thpzZX1vd8Njh7K1egd1HfU0dTUTGxLjluuIk6tpr+PzIyv4sWan8zENGhQUdtft52/bl3HHxFs8vnBVCDV0mDuoMtSe8Hm9TkOdNYzWlg7MFsWtsaRGJBGmD3PJuRoa6nnuuWdJSkrmggsuIiIigk8++brHMW+//QYfffQfZs48p8/nvffeB1mwYKHz866uLu6//y7i4xOcSe2KFV/y+OOPMnfu9Tz66OM0NNSzZMnT3Hffnbz22jsEBQVRUlLMvfcuYOzYCTzzzHPo9XrefHM5999/F6+88hY5OUOc13jxxee56aZbufvuRSxf/hIvvPB3Nm3awJw5l7JgwUKWL/8/nn9+CTNnziI9PYPy8jIefngRc+Zcym9/+we0Wi1ffPEJ9913H6+++ia5uSOc5/7kkw+ZOXMWzz33T+rq6njkkYdYsuRpnn126QC/8/0nia+Xq22vAyAxLN7lt8P7SqPRkBmVzv6GAudCOzE4jjKHIG0QOdGure916D6TfKipkGkpk9xyHXF8iqLw+ZEVrCz51vkmJ1gXzAVZszgn80w+OPgp26p/oqS1jGe2Pc+dE28jNSL5FGcVwnd1mDv4/cYn6TB7x2ZIYfowHj/z4QElv42NDVx44dkAWCxWjMYu0tLSWbz4z8TGxgKQkJDoPH7r1s188MF7PPzw7xk5clSfrxMZGUlkZKTz8yee+AOdnZ088cRT6PW2FO6NN15l0qQp3HvvAwBkZWXzu9/9gVtuuYG1a1cze/Yc3n//bbRaHX/601+c5/vNbx5l7twrePfdf/HQQ79zXuP008/i/PN/BsDcufNYseIr0tMzuPjiy+yPXc+KFV9y6NBB0tMzSExM4vXX3yU5OYWwMNv38rbb5vPGG8vZunVzj8Q3LCycO++8F4Ds7CHMnDmL779f1+fvhytI4uvlqu2Jb3JYkqpxZEbaEt/ytgqsitW5O5gYmEP2xHdoTA56N3VcSAlPIjIogjaTQRJfFRxoOMjXxWsA0Gl0zMw4nTlDznfO7P5qzC+JD41jZfFa6jsb+euP/+DXE/6L4bFD1QxbCNEHMTExLFu23Pl5U1MTW7du4v7772Lhwvu5+urrnM9VVVWxePHvuOqqa53J40B8+OG/Wb16JUuXvuhMqg2GNoqLi5g9++Iex+bljSQ6OoaCggPMnj2Hffv2MGbM2B5JdEhICOPHT6Cg4ECP13ZPzKOjowEYPnxEr8cMhjbneQoLD/Pss09RVFRIe3s72DsWNTc39zj32LHjenweGxtHa2tLv78XgyGJr5er6bDdEkoOTzzFke6Vad84o9PSRUNnI4n23r6i/4wWI8UttvrePDcmORqNhuGxw/ipdrcz0RaeoSgKnx6x3eaMCorkwWl39fqZ0Wq0XJl7MfGhcbyX/xHt5g6W/vR//Pe4mxiXOFqNsIVwK8cM66lKHaKivb/UQavVkZmZ5fw8MzOLcePGYzKZWLp0CRdcMJvo6GiMRiOPPPK/5OQM5e67Fw041j17drN06bPce+8DjBs3wfm4wWAA4LXXXuatt17r8ZrOzk7q6+ucxx0+fMg5S+1gNBqJi+tZRhkaevR7otFoAJwzud0fUxTb+Kxbt5ZHHnmI8877GY899iTx8fHo9Vrmzr2q19cRFhbe43PHuTxJEl8v1mHupNVoe0eleuLbraNEaWuFJL6DcKS5GItiW83vrvpeh+GxQ/mpdjeVhmrajAYigyPcej1hs7Nur3Px4kVDzj/pz8vZGacTFxLDK3v/hdFi5P2CjxkdP0K10iYh3ClMH8bQmBMvZNLrtcTFRdCoNWA2+96W66NGjcFo7KKsrIQxY8axZMlfqK+v45VX3nSWJvRXY2MDv//9Q1x00SVcddV1PZ6LjLTdQfr5z+dx+eVX9XqtI2GNioomOTmFhx56pNcxWu3g7uCuXPklSUnJLF78Z+e5mprqB3VOd5L71V7MUd8L6pc6JIcnOm/JVxlqTnG0OBnH7Kteq2dItHtXsnZPrA83S3cHT7AqVj4/sgKAuJBYZmacfsrXjEsczQ2jbH/Q6jsb2VGzy60xCiHco7i4CIDExCQ+//xjvv76Cx5//Cni4wc2WWSxWHj00d+QmJjIokUP9Xo+PDycYcNyKSkpJjMzq8d/3Wdzx44dR0lJEcnJKT2OURSlRy3yQJhMZqKjo3sk0F988RlwdFbYm0ji68UcHR1A/RlfrUZLcpgthup2SXwHw7GwbUh0FkG6ILdeKz0y1XkrT9qaeca26p+c/a4vHnpBn3fNm5I8wdm55ZuSdV75B0MIYWO1Wqmvr3P+V1pawieffMjrr7/MNdfMpaGhgWef/Qu/+tVtpKWl9Ti2sbGxz9dZtux5CgoO8MADD9Pa2tLjPLZaWrjppltYv34dr7zyIkVFhRQWHuH55//GrbfeQEFBPmBbkNbe3s7ixb/jwIF9VFSU8+mnH3HLLfP49NOPBvW9GDduPIWFR1i9eiUVFeW8/fab7N27h7S0NPLzD1BXV3fqk3iQlDp4seoO2z+WYG0QMSHRKkcDyeFJVBiqqG4/cX2WODmTxURRSykAebG5br+eVqMlN2YIe+r3S52vB1isFr4o/AaApLAETk+d1ufXajVaLsg+h/cKPqKsrYIDjQcZHT/i1C8UQnhcU1MjV145x/l5eHgEGRkZ3HHH3Vx11XW89trLGI1GXn55GS+/vKzHa1NT0/jgg8/6dJ21a1dhMBi4/fabez3n6Ad84YVz0Gq1/Otfr/PWW6+h0+kYNWoMzz77PKNG2dYLZGZmsXTpS7z00j+4++4FmExGsrKyWbjwvl7lE/01d+71FBcX8fTT/w+NRsNZZ53NH/7wON988wVLlvyNxx57hOeeW3bqE3mIRpFphZOqrW11y3mddUyNJ65jWr73bbZV/0RGZBq/nXG/W+Loj88Of83XxWsI0QXz11mPq1KU7k36MobHKmg8zN93vAjAPZPmMzJ+uDtDBOCb4m/5+PCXaNDw9KzFhOlD3X5NXzKQcTyRDeWbeTv/PwD815jrmZ46uV+vN1pM/H7jn2kzGRgVl8fdk/97UPEEEleOo1CPjKN/UGMck5L61gtdSh28WG27rTjcUWKgthR7j9Eui5Fmo2fbj/gLR5mDTqM76QIPV3L081VQONJc5JFrBiKTxcSXRasASI9IZWrKxH6fI1gXxLmZMwE40HiQEnv3DyGEEK4hpQ5eSlGUbq3M1F3Y5pDSLY5qQ63sBDYAhxptiW9OdBbBHtqmNjsqg2BtEEariUNNhYxN6HvzdNF36ys209Rl61l52bCLBtzrelbmGawsWYvRYmRVyTpuHXeDK8MUQniBBx64h127dpz0mJSUNN56630PRRQ4JPH1Um0mAx3mTkD9hW0O3RPw6vYaj9ym9ycmq5nClmLA/W3MutNpdQyLGcKBxoNS5+smXRYjK4psm1XkRGcxIXHMgM8VERTOWekzWFu6nu01u7iiY460DxTCzzz88CN0dXWd9JiBtj8TJyffVS9V7UUdHRzC9KHEBEfTbGyRBW4DUNxSislqBjyb+IKtn++BxoMUt5RhtBg9NtscKNaVbqDVZOu5ffmwiwZd/35+1tmsK9uIVbGyuuR7fjHyKhdEKYTwFklJsj25Wvymxnfr1q2MGjWKm266qcfjBw4cYP78+UydOpWJEydy4403smXLFpWi7Dtv6uHbnaPcQRLf/nPMtmo1WobG5Hj02o5tcC2KhaKWEo9e298pisJ35T8Atjc0o+LyBn3O+NA4piZPAuCHyq3OjWyEEEIMjl8kvkajkd///ve9+l6WlJRwww030NjYyDPPPMOyZcuIjIzk1ltvZefOnSpF2zc19lZm4fowIoLCT3G05zgWuEni238H7fW92VGZhOpDPHrtnOhs9BrbTmAHpZ+vS5W2ltPY1QTAmekzXNbt5MKccwAwWU2sK9voknMKIUSg84vE94UXXqClpYVx48b1etxisfDiiy9y3nnnccYZZ/Dcc8+RmJjIkiVLVIq2bxybVySHJ3lV2zDHjG9DZyNGi1HlaHyHxWrhiAr1vQ7BuiByom37ystGFq61s3YPYJvJH5cw2mXnzYhMY0zCSAC+K9tIl/y8CSHEoPl84ltQUMDLL7/MAw88QHj40ZlRRVFYtWoVZ555JvHx8c7Hg4ODmT17Nps3b6alxXtbctXYSx28pb7XoXtnh5p279qNxZuVtJY53yjkxXk+8YWjCXdhczFme62xGLyf6vYCMDJuOOFBYS4994XZ5wJgMLezrerkK8CF5yiKQn7DId7L/5ifanarHY4Qoh98OvG1Wq08+uijTJ48mWuvvbbHcxUVFbS2tpKX17veLi8vD6vVSkFBgadC7RerYqXWXurgLT18HVLCjxbky9bFfefYrQ1gmIfrex0c/XxNVhMlreWqxOBvqttrqbJvTzwxaazLz58XO8z5M/dT3R6Xn1/0T7upg7Wl63l881957qeX+K58I/+3501e2fMWbSaD2uEJIfrAp7s6vPPOO+zdu5dPPvmk13P19bbNH+Li4no953jMcczJaLUatFrXlxrodNoe/++uoaPZufo/NSoZvd573p8kRcYRpA3CZDVR01nnVbF52snG8FjlhgrANoMfFRrh1rhOJC9hCFqNFqti5UhLISMShqoSh7fpzzgea3e9bbZXg4YpqePd8vMwOWUcXxeuoaDhEGaMhMrOe8c1mHE8lYq2KtaUrGdzxY8YraZez2+v2cWhpkJuGjuXCUkDb2Un3DuOwnO8eRx9NvGtqqrir3/9K/Pnz2fYsN63jo1G223l4ODebZuCgoIA6OzsPOV14uMj3FpjGx3d+9ZoadfRVfd5qdnExamTKJ1IenQKxU1lNJoavC42NRxvDI9V0V4FwLAENcczgqFxWRxuKKaorUTG7hh9Gcdj7dm2D4C8hKEMSU1zdUgAnJ07ja8L12BWLBR1FnFG1lS3XMdfDGQcT+ZQfRF/3vQ352QEQG58DhcNP4fJaWN5d/dnrD6ynhZjK//Y8SrnDT2TX02+zuVlL4HG1eMo1OGN4+izie/ixYtJTk7m17/+9XGfDwmxrZo3mXq/O3ckxWFhpx6QhgaD22Z8o6PDaGnpwGLpuY/14eqjt8VDzba9rr1JYkgCxZRR0ljpdbF50snGsDuz1UxZcyUAqSEpqn7PhkUN4XBDMftrD1Hf0Drg3cX8SV/H8ViNnc0cbCgCYFz8aLeNa7wmkZiQaJq7Wthw5EdGRcrOe8cz0HE8GZPFxNJNr2GymtFrdMxIm8I5WWcwxL7duLUDfj78KkbHjOTNff+muauFtYUb2Vm5j4WTbyMjyj1vhvyZO8ZReJ4a49jXyRyfTHxXrFjB2rVrefHFFzGZTM7k1mKxAGAwGEhIsO101NDQ0Ov1dXW2+tmkpFP3x7VaFaxW5ZTHDZTFYsVs7vmPoqrN1tEhJjgKPUG9nlebo69wtaEGo8kc8MnT8cawu9LWSiyK7d9mekSaquM5LHoIsI5OcyfFTeVkRWWoFou3OdU4HmtH1dFFTeMTxrp1XMcnjmF9+SZ21+2ny2hCp9W57Vq+rr/jeDKfHl5Jpb2Ge+6IK5mZcTpAr/OPjhvJ72Ys4v2Cj9lW/RMNnU0s3/0O/zv9noD//ThQrhxHoR5vHEefTHzXrl2LoijMnz//uM9PmTKFhQsXEhcXR35+fq/n8/PzCQoKYsSIEe4OdUAcPXy7bxHsTVLtcRmtJpq7WogLjVU3IC9X1lrh/DgzUt1Es/vGGcUtpZL4DsLOWlt9b3pEqtu7r0xIHMv68k10mDs52HSEUfGD3yRDnFxRSwnfFH8LwKi4PM5KP+2kx0cEhXPL2HlkRKbxyeGvKG2rYEPFZs7OOMMD0Qoh+sonE98FCxZw3XXX9Xr8iSeeAOCRRx4hPT2duro6PvroI2pra52zu+3t7axcuZJZs2YREeGdNY5He/h6V0cHh+SIowl5dXutJL6nUNpmS3yjgiOJCYlSNZao4EjiQmJp7GqSzg6D0G5qp6DpMAATk8ad4ujBGxGXS6guhE5LFztr90ri62Ymi4k39/8bBYVQXQg3jL6uz2s9Lsiaxbbqnyhvq+SzwyuYnDyByCDv/FsjRCDyyXswQ4YMYdq0ab3+i4qKIioqimnTppGens6dd95JWFgYCxYs4Ntvv2XDhg3ceeeddHR0sGjRIrW/jOMyW83UdzYC3jvj230L5SppaXZKjhnfLJVnex2y7bO8pZL4Dtjuuv1YFdvtO08kvkFaPWMTbLW9u+r29tqlUrjWl0WrnG3qrhl+GfGhvbsDnYhOq+PnI64CbP2XPzv8tTtCFEIMkE8mvn2VkpLC22+/TVJSEosWLWLhwoVoNBreeOMNhg8frnZ4x1Xf0eD8g+ptPXwdQvUhxIXEAlBtkK2LT8aqWCm3z/hmRqWrHI1NVlQmABVtlbKRxQDttG9akRAaR2akZxYwTbD3CW7qaqaktcwj1wxEx5Y4nJk+o9/nGB47lOkpkwHYULFFxksIL+KTpQ4n8uabb/Z6LDc3l2XLlqkQzcA46nvBe0sdwLaDW2NXk7MsQxxffUcjnZYuADIjvSPxzY62zfiaFQuVhmqp8+0no8XIvnrb2oGJSeM8tqX42ISR6DQ6LIqFXXX7nFtQC9cxWUy8ue/9AZU4HOuq4Zewq24vXRYj7+d/wqKpd8hCNyG8gPwUehnHNsAaNCSEJagczYml2Ot8pdTh5ErbjpYTeM+M79FEV2ai+m9/QwEm+yYGnihzcAjThzEiLheAXfaFdcK1vixa5fyd1t8Sh2PFhsRwydALAShsKWZL1XaXxCiEGBxJfL2MYwY1ITSOIK33Tsg76o+buprpNHepHI33KrfX9wbrgknykjcy0cFRxIbEAMgCtwFwdHOIDIrw+PbTExJt5Q4Vhirnm2ThGm0mA2tKvwcGXuJwrHMzz3JuOf3xoS/pMHcM+pxCiMGRxNfLOP6YeevCNodU+y9zgJoOKXc4EUdHh8zINK+6zemY9S1tkcS3PyxWC7vrbLu1TUgc6/Ex7b4d7q46mfV1pc2VPzpr3q8efqlLSlj0Wj1zR1wBQKupjS8Kvxn0OYUQg+M9f4kF0L2Hr/fW94KtxtdBFridmKOjg9r9e4/l6OxQbqjEYrWoHI3vONh0hHb7rN1E+2IzT4oNiSEnylbbu6t2n8ev768URWF9+SYAhkbnuLQsaXT8CCbZS2LWlW2kWtZFeA2rYuVg4xG+LdtAeVul2uEID/Hee+kBqMtipKmrGYAkL098Y0NiCNYFY7QY5Rf5CbQa22g2tgCQ6WVbl2bbOzuYrWYqDdVeU3/s7fY12Ba1heiCGalSL90JSWMpbi3lSHMRrcY2ooIjVYnDnxQ0HnZOOpxt353Nla4Zfjm76/ZjUSysL9/EtXmXu/waom8sVgsFjYfZUbubXbV7aTW1AbZ1NdNSJnPZsAtJ9JKyNOEeMuPrRWq71eylhHl3qYNGo3HO+lbLArfj6rljm3cllo6WZiB1vv1xqLEQgNzYoarV4DtmmhUUdtftVyUGf/N9hW22N1wfxuTkCS4/f0JYnLMd3ebKHzFZTC6/hji5TnMX7+R/yEPrH+P5nS+zoWKzM+kF28/T1urtPLbpGd7L/5jmrlYVoxXuJImvF/GVVmYORxNfmfE9HkdHB61GS3pEqsrR9BQTEkVMsG0XuVLp7NAnneZO55jmxQxTLY7U8GTnQslddXtUi8NfNHe1srPW9n08PW0awbogt1xnpn3LY4O5nZ9qZdw8yWK18Oref9m3/baVKoXpQ5meMoX5429m8RkPMSvjDLQaLRbFwnflG/njD0/y2ZEV0uvcD0mpgxdxLGzTa/U+sQ2wI/Gtaa/Dqli9avGWN3DM+KaGJxPkpj+mg5EVlUlz/X6Z8e2jwuYS5+Yyw+OGqhaHRqNhQtJYVpd8x4GGgxgtRoJ1warF4+t+qNzqHFdHcuoOI+JySQyNp66zgfUVm5ieOtlt1xJHKYrCBwc/Y2/9AQDGJIzk3MyZjIzLRd/trs0vRl7N+Vmz+LxwBduqf8JoNfF10WrajG1cP+patcIXbiCZihdxtDJLDEvwiSTS0abHZDXR2NmscjTep8zLdmw7lnOBW1uFLHDrg0NNRwAI0gY5a6TVMj5hNAAmq5nDzUWqxuLLrIrVuahtRGwuKRHJp3jFwGk1Ws7KsCXWh5oKqTJIiZgnfFu2ge/KNwKQFzuMX4//FWMTRvZIeh2SwhO4Zew8Hp5+n7NV4fqKzdKD2c94f3YVQBwzvileulXxsXp0dpA63x66LEbneHpbfa9DdrQteTNZzbIRSR8ctCe+Q2NyjvtH05OGxOQQpLXdRShoPKxqLL5sX30+jV1NAMx0w6K2Y52eNs05qbGhYrPbrxfodtXu5T8HPwNs5YP/Pf7mPv3sZkWlc8eEW0iwb2DyzoH/UGmodmuswnMk8fUijtqjtIgUlSPpm+TwRDTYel1KnW9P5W2VKCiA7ZeoN+qxg1uL1PmejNFiorilFIDhseqVOTgEafXkxgwBJPEdjO/ts71RwZEeaU8XHRzFxERZ5OYJJa1lLN/7NgoKkUER3DnhNiKCwvv8+vCgcG4bdyN6jQ6j1cTLu9+UzZr8hCS+XuTK3Is5PXUa52SdpXYofRKsCybeXossiW9P3Ts6ZHjpjG9sSAzR9gVuUud7csUtJZgVWzlInhckvgB59u2LS1rL6DB3qhyN76nvaHTWfZ6ZNsNjs/iOmWWDuZ0dtbs9cs1A09jZxLKdyzFaTeg1OuaP/xVJ4f1vUZYTneVsPVfVXsM7+f9BURRXhys8TBJfLzIhaSw3jfm5MxnxBY4d5qqlXq2HMvvq//jQuH7NMniao863VBLfk3KUOeg0OoZEe3ab4hMZaU98rYqVw02FKkfjezZWbkFBQYOGs1ywPXFfORa5gZQ7uIPFauHFXa/RbLS1I7tp9M/JjR0y4POdnXEGU5MnArCt+ifW21vfCd8lia8YFMfWxTLj21NZq20XIG+t73VwlDuUyQK3kzpkTyxzorPc1u6qv7KjMgmxd3OQcof+sVgtbKzYAthW+SeExXvs2lqNlrPSZZGbu2yu2u7cKv7SoRcybZDdMzQaDfNGXetc0/JBwadSGubjJPEVg+KY8W02tsjtVjuL1UKFwZ74eml9r4NjIwuT1SRvXk7AbDVzpLkY8I76XgedVkeuPZ6CJkl8+2NX3T5a7DOC7tip7VROT5dFbu5gspr5svAbAFIjUpgz5AKXnDdUH8rt424iSBuEWbHw8p63MFqMLjm38DxJfMWgdN9oo7bbBhyBrLq9FpO96bm3z/hmd1/gJhtZHFdpazkmq20RUl6sehtXHM+IWFu5Q1lrBe2mdpWj8R2O9lSxITGMTRjl8evLIjf32FC+2dml4/JhF7m0LWh6ZCq/HHk1APWdDXxX/oPLzi08SxJfMSg9Et/2ehUj8R6O/r3gvR0dHGJDYogKigRkgduJOOp7NWicvT29xci44YBtu1VHnOLkjBYj+xsKAJiaPFG1numOnr6yyM01uixGvi5aDdjKgBxvLFzptNSpzt8B3xR/S6fc5fRJkviKQYkNiXGuhpYZXxvHQrFwfRhxIbHqBnMKGo2GrGjHAjeZ8T0eR31vVlQGofpQlaPpKTMqnTB9GCB1vn21v6HAOYM/wQMtzE5kZNxw5yK39eVS7jBY60o30GpqA+CKYXPQaDQuv4ZGo+HyYRcB0GYy8G3ZBpdfQ7ifJL5iULQaLYlhtjYxjg0bAl1Zm6O+N8Mtv3xdzbELWVlrhXPrVmFj65hQBHhXfa+DVqN1xiWJb9/srN0LQGRQhKoz+FqNljPt3SQONxfS2NmkWiy+rt3UwcqSbwHbz+mo+Dy3XWtE3HBnidGqku9oN3W47VrCPSTxFYOWbN9pTmZ8bfvCl9lnfDMj01SOpm8cdb5Gq0lWmB+jrK2CTovtdqa31fc6OModKgxVtBrbVI7Gu1msFvbU7QdgQuIY1beGn5oyyfnxT7V71AvEx60uWefcAOpyN832dneZfda3w9zBmtLv3Hot4XqS+IpBS7LP+EqNr627Rbv9F7C3L2xz6L6Dm/Tz7elQt/64uV444wu2vrAOUud7coebizCYbYsA1SxzcEgMi3f+/O2o2aVyNL6p1djGmrL1AIxNGOWROzO5sUMYEz8SgLWl62kzGtx+TeE6kviKQUuyL3BrNbUFfEuzyraj+7mnRfrG1tNxIbFEBkUAkvgey5H4pkekeu1GJGkRKc7YpNzh5HbZyxyCdcGMjHPf7fD+mJw0HoAjzcU0dTWrHI3vWVG8xtlazFF/6wmXDZsNQKeli1Ul6zx2XTF4kviKQXOUOgDUBnidb2W7LfHVoHFu7uHtNBqNc9ZJWpodpSgKh+wzqMO9tMwBbLWijppDSXxPTFEUdtbZEt8x8SO9ZiOSScm2xFdBcdYfi75p7Gzi+3LbTmqTkyf0uHvlbjnRWUywd45YV7bB2RdaeD9JfMWgdd8DPdDrfB0zvgmhcQTbd9XyBY4FbqVtssDNodJQjcHeGzcvznsTXzha7lDdXiOzhidQ1lZJQ2cjABO9oMzBISU8iQz7egApd+ifr4vXYLaa0aDhsqGzPX59x6yv0WpiZfFaj19fDIxLEl+TyYSiKK44lfBBsSExBNlbmtUEeJ1vpcGW+PpKmYODY4c5o8VIXUeDytF4hx71vTHeWd/r0KPOt1HqfI9nl33xmFajZZwKm1acjKPc4VBToSxQ7KMOcwdbKn8EYHrqZFIjPH+HLSMyjcnJEwD4vnyTdObwEQNOfGtqanj00UeZNWsWEydOZNu2bc7nnn/+ecrK5JZpoOje0iyQZ3wVRaHKXuqQFpGqcjT9k9GtA0W5vR1boHOUOSSHJxITEqVyNCeXEp5MdLAtRil3OD5HmUNe7DDCvaxee3KPcgfp7tAXW6t2YLT3Yz438yzV4rhs6IVo0GC2mlkhs74+YUCJb01NDXPnzuX999+nra2tx2xvQ0MD//jHP7jhhhuoqqpyWaDCuyVJSzOajS3OxX2+Ut/rkBSWQLDWVvNY3m3nuUBlq++1zfh6axuz7jQajXPWt6BJEt9j1XU0ON/QeUM3h2OlRqSQGmG7S7SjRnZxOxVFUVhfYdv0Iysy3VmqpYbUiBSmpUwGYFPlVmd5lPBeA0p8ly1bRlNTE88++yyrV6/ukfjGx8fz6quv0tLSwj//+U+XBSq8m6PON5A3sXCUOYDvlTpoNVrS7bO+ZTLjS11HA83GFsC7F7Z151jgVtdR76xlFTa76o4uGnPHVrau4Ch3KGg6TJtJ2mOdTFFLifONzFkZp6m+UdAF2WcDYLKa+aFyq6qxiFMbUOL73XffMXfuXC655BL0en2v58844wzmzp3L999/P+gAhW9wdHZoMxmcjcQDjSPx9aWODt05yh2k1AEKW4qdH6u5u1d/5HWr85Vyh54cbcyyozKIC41VN5gTcJQ7WBUru2v3qRyNd3PM9gbrgp2zrWrKispgWMwQAL4r+0EWCHu5ASW+1dXVjBs37qTHjB07lpoa2QUqUCT1aGkWmAvcfLWjg4Njp7mGzkbaA/x2XVFLKWDb1jYhNF7laPomKSyBuJBYQBLf7tqMBmfZyoTEk//dUlN6RKpzAmFHrZQ7nEi7qYMfq3cCMD1lEmH6UJUjsjkn80wA6jsb2Fefr3I04mQGlPiGhITQ1dV10mMaGxsJCwsbUFDC9ySHH018awK0zte5sM3HyhwcMrrtNBfos77F9sR3SHSW6rdR+6p7na/s4HbU7vr9KNjK8bypjdmxNBqNs6fvgYaDtJsC887ZqWyp3o7JvqhtZvrpKkdz1KSkcUQFRwKwrmyjytGIkxlQ4jt69Gi++OKLEz7f0NDAW2+9xejRowccWF9t3LiR66+/nokTJzJjxgzmzZvHunU9d1E5cOAA8+fPZ+rUqUycOJEbb7yRLVu2uD22QBITEu1saRaIm1goiuIsdUgN99XE92gnikCu8zVZzZTZd7AbEp2tcjT9kxs7BLDN2ktrJZvd9jKHxLAE0iK8+2fTUe5gUSzsrpNyh2MpisKGcvuitqgMsqPVW9R2LL1W70zE9zXkU9Neq3JE4kQGlPjecMMNbNmyhXvuuYfNm23/CIuKivjuu+949tlnueyyyygvL+eGG25wabDHWrNmDbfccguRkZEsXbqUp59+mpCQEObPn89XX30FQElJCTfccAONjY0888wzLFu2jMjISG699VZ27tzp1vgCSc+WZoFX6tC9o4O3/3E9kVB9KIn22/qBPONb3laBWbEAtt2ZfMnwbv2GDzcXqReIlzBajOxrKABsi9q8ffY+KzLDWVoj5Q69FbaUUGGwdYuamX6aytH0NjPjNLQaW1rl2FFOeJ/eK9P6YM6cOdx111288MILfPPNNwA8+uijgO0dmUaj4a677uKii9y7b/aSJUsYMmQIL7zwAkFBtlZMM2bM4Nxzz+XNN9/k4osv5oUXXsBisfDiiy8SH2/7hTJ16lRmz57NkiVLeO2119waYyBJDkuk0lAdkJ0denR08NHEF2wbWdR1NgR0S7Oi5lLnx0N8LPFNDk8iMiiCNpOBw02FTEuZpHZIqspvPOS8Le6NbcyOpdFomJw8nlUl69jfUECnuZNQL6lh9Qbr7clkiC7YK/9tx4bEMDFpHDtqdvFD5VYuG3YRIT643sPfDSjxBbj77ru55JJL+Oyzzzh06BAGg4HIyEhGjBjBJZdcQm5u7qlPMgiKonDHHXcQHx/vTHoBwsLCyMnJoaqqCkVRWLVqFWeeeaYz6QUIDg5m9uzZvPnmm7S0tBAdHe3WWANFUnjg9vLt0dFBhR2EXCUjMo2favdQYajGYrWg0+rUDsnjHAvbksMTvW6jg1PRaDTkxg5lZ+0emfEF9tXbZnvD9GE+053DkfiarWb21B/wygRPDe2mdrbX2O7STkuZ7LVvCM7JOJMdNbvoMHeytWo7MzO8pw5Z2Aw48QXIzc3lvvvuc1Eo/aPRaLjkkkt6PW4ymSguLmb06NFUVFTQ2tpKXl5er+Py8vKwWq0UFBQwbdo0T4Ts95LspQ5tJgPtpg7CgwJncWOVwbc7Ojg4FriZrWZqOup8evZ6oIpbSgDIifKt+l6H3Jgh7KzdQ0VbVcD9HB5rf4Ntdf2ouOHOW9DeLicqi7iQWBq7mvipZrckvnZbqnZgspoBW0mBtxoeO5T0iFQqDFV8V/4DZ6Wr32dY9DSoxNcbLV26lKamJubNm0d9va3WNC4urtdxjsccx5yIVqtBq3X9P1qdTtvj//4gLeroTGeDsYHoMN+6Tdxf3cewqt3Wui8tMgW93nfHNCc2w/lxZXsVWTFpJznaP3QfR4Op3dmVJDcu2yfHckTCMDhk2/62uK2E8UnuX2TsDY79nVrbXu9cbzAuaZRPjeWklHGsLVnP/oYCFK3VuXA4EBzvb6OiKGyosJU55ERnMizOu9+Unpd9Fv/a/x/K2yopaismL843NsFxJW/OcQb009TXbg0ajYZ9+zy3MvXdd9/lpZde4pprrmH27Nls27YNsJU2HMtRHtHZ2XnSc8bHR7j13Vp0tP/MxuSFHP1lZNC0EhcXoWI0nhMVFeqc8R2WmOXTX3dsbDjhQWG0mzqoM9X69NfSX9HRYRwxFDo/n5A50ie//qiYEYRsC6bLYqSss4xZcYF1R8vxO3Vb/XbnY6cPm0hchO+M5VlDp7C2ZD2dli4qTeVMTB2jdkge1/1vY37dYSrsv2PnjDjH638uL4qcyUeHvqTd1MGGqs3MGDZe7ZBU4405zoAS3+jo6OMmg11dXXR02HoPjhgxokftrbs9//zzLF26lMsvv5zHH38csPUbBlv5w7GMRiPAKXsNNzQY3DbjGx0dRktLBxaLn+zyougJ0uoxWc0U1ZYzNtq/f1k7xrC0thqDvedmnD6exkbf3m40PSKVQ02FHKot9vmvpS+6/yzuLrfdGtdrdMQQ57Nf/5CYbPIbDrGnsoDGLN/8Gvrr2N+p20ptXRFSwpPQG0NpNPrO9yEtKJ1QfSid5k42HPmR7BDfqE92heP9bVyZvx6AEF0IY6LH+MTP5Rlp01hd8j2by3ZQWFlBbGiM2iF5lBo5Tl/fEA0o8XW0MDue6upqXn31VbZv387y5csHcvp++8Mf/sC7777L7bffzoMPPuhMypOSkgBbX+Fj1dXV9TjmRKxWBatVcXHER1ksVsxmP0l8se3gVmGoospQ61df18mUthxt/ZUSmuzzX3dGZBqHmgopa63w+a+lPywWK0eabPW9mVEZYNVitvrm158bPYT8hkMUNZfQ0dVFkM5zkxBqs1isdBlNHGg4CMCo+BE++O9Yy5j4EWyv2cXOmn1cN/zKgKsTdfxtNFvN/FhlW9Q2KWkceoJ8Yjxnpp/O6pLvsSpW1pVu4tKhF6odkiq8McdxefFFSkoKv/nNb8jMzOTpp5929el7WbJkCe+99x6/+93v+J//+Z8evxxSU1OJi4sjP7/39oH5+fkEBQUxYsQIt8cYSJydHQKopZljq2Jf7+jgkGHfurjZ2EqrsU3laDxHURSK7AvbfK2N2bFyY239fM2KheLWMpWj8bzi1lJnX+0x8b75O358ou2OWWNXU0D31d7fUEC72XZHbXrKZJWj6bvk8CRGxdkW1v9QsRWr4l3JXyBzW9XxzJkzWbt2rbtOD8CqVatYtmwZDzzwADfffPNxj7nooovYuHEjtbVHd1Fpb29n5cqVzJo1iwgfqvvyBUkBuIlFRZutoXq8j3d0cMgM0K2L6zoaMJjaAd/bse1YQ6KznV0MjjQVqRuMCvbb25jpNDqGx/rmwqKxCaOcYxjIu7htrdoBQFRQpHNLbl9xZvoMwPbmJb/hkMrRCAe3Jb6dnZ3HLTFwFbPZzJNPPklmZiannXYau3fv7vWf0WjkzjvvJCwsjAULFvDtt9+yYcMG7rzzTjo6Oli0aJHb4gtUyWG2GV9HS7NA4Ojh6y+tv9IiUtFgu3NSFkAbWRQ2lzg/9rUd244Vqg9xvoE51Fx4iqP9z357mcOwmBxC9SEqRzMwEUHh5MYMAWB33X51g1FJp7mTXfakf0rKRJ/rKz4haSwR9l7gGyq3qByNcHB5j5SOjg727dvH8uXLSU52323fqqoqSkttjebnzp173GNWr15NZmYmb7/9Nk8//TSLFi1CURQmTZrEG2+8wfDhw90WX6BylDqAbSOLnCDfTiBORVEUZ6mDvyS+wbogksOTqG6vCagZX0fiGxEU7rxz4cuGxw6lpLWMI81FWBWrz/SxHax2U4ezZGW0j5Y5OIxPHMPBpiMUt5bS1NVMbEhgLZDaVbfPufPedB/sZxyk1TMjdQprS9ezq3YvbUYDkcFyl1ltbmtnpigKDz/88EBO3yeZmZnHrd09ntzcXJYtW+a2WMRR3ROGmvY6n585O5XGzmZn/Zm/JL4AmZFpAZf4FtkT35zoLL9YSJQbM4Q1pd/TYe6k0lDtrN32dwcaDqJgW5A8OsHXE9/RfHjocwD21O0PuF3AtlbbyhwSQuN9tvzozLQZrC1dj0WxsKXqR87PnqV2SAFvQIlvWtqJf4EGBQWRnJzMnDlzmDdv3oADE74pJiSaIG0QJqspILYuLms+mhj6U+KbEZnGjzU7qTLUYLaa0ft5A32zxUxJazkAQ6L8482aY4EbwOGmwoBJfB3bFEcGRfSoV/dFyeFJpIQnU91ew+4AS3xbjW3OzhzTUyb57JvR9MhUhkZnU9hSwobKrZyXdbbPfi3+YkB/zdasWePqOISf0Gq0JIUlUGGooqbd/xe4lXVvZeYHHR0cMqNsCYNFsVBpqCEryrcTiFMpbi7HbN8OdUiMb84sHSsqOJLk8ERq2us41FTIrMwz1Q7J7RRFYV+dfZvi+Dy/KO+YkDiGb0pqyG88iNFi9IsFtH3xY9VOZyeEaam+083heM5In05hSwlVhmqKWkoYGhM4fZm9ke//VhBex9nSLIBmfBNC4wnxoz9I3WcHywNggdvB+qMLwPypPCc3xjbre7i5CEVxXz9yb1HVVkt9ZyNg69/rD8Yl2koLTVazcwY0EGyxd3PIjEz3+btpU5MnOt+wbKyQRW5q69OM78cffzzgC1x11VUDfq3wTY7ODoGQ+Do2r/D1X8zHigmOJjIogjaTISDqfA81FAGQGJZAZJD/LD7JjR3KD5VbaepqpqGziYSwOLVDcqudVUfbfo2Oz1MxEtcZFpNDRFA4BlM7u+v2MSFprNohuV2NoZ7D9jZ803xwUduxQvWhTEueyMbKrWyr2cm1eZcTqg9VO6yA1afE9+GHH+53TYqiKGg0Gkl8A1BSuG2Bm8HUTrupnXB7Oxd/oygKZc222VB/S3w1Gg0ZkWnkNx6iLBAS3/oiwPc3rjiWox0WwOHmwoBJfNMjUv2mA4JWo2Vcwmg2V/3I7vr9AdGhY0PxVufH/pD4ApyRPoONlVsxWoxsr9nl7PErPK9Pie9dd90lxdiiz5LCjrY0q+moY0iQf9RMHqvF2IrB5H8dHRwciW95W4Xzjaw/MpjaqWi1taTz1ZXjJ5IUlkB0cBQtxlYONxUyI3WK2iG5jdlqZm+NbWHbKD+Z7XUYnziGzVU/0mpso7iljKF+Uod+IutLbInv8NihxIXGqhuMiwyNziY1IoUqQzUbK7ZI4quiPiW+d999d79P3N7eTkdHYGxgIHpK7t7Lt73e75IJB8eObYBfbFV8LMeKeIOpnWZji9/MoB2ruLnU+bG/zfhqNBpyY4awo3Y3h5qL1A7HrY40FdNp7gJ8v3/vsUbH56HX6DArFnbX7fPrxLe8tZJS+520aT60RfGpaDQazkybzoeHPqewpYSKtirSI1PVDisgue1+yapVq7jmmmvcdXrhxWKCbS3NwDbj668cG1cApPrpjK9DWav/LnArbLElvjqNzufbXx2Po61ZlaGaNpNB5Wjcx9HGTK/VM7xbKzd/EKoPZUScbcMlf9++2LGoTavRMjl5vMrRuNaM1CnoNLbd536o3HqKo4W7DLg5Z2dnJ9988w3l5eWYzeYez3V1dbFy5UpaWloGHaDwPRqNxtnSrLbdfxPfCvtWxYlh/tXRwSE1IhmdRodFsVDeVulcXe5vCpuKAciKSidIF6RyNK6XGzvE+fGRpiK/XRy1r97WxiwvbphftvwanziafQ35VBiqqOtoIDEsXu2QXM6qWNlSuR2AsQkj/WqhKdhaDE5IGsuOml1srvqRK3IvJsgPe6SbrWb+c+BL4qOi+Vn6eWqH08uAvuPV1dXccMMNlJeX96j9O/ZjWdgWuJLDE229fANgxtcf63vBNnOWGpFMeVslZX7a0kxRFIrsM75DYvyrzMEhMzKdUF0InZYuDjUV+mXi22YyUNJi24DEX7o5HGt84hjeK/gYsM36npc1U92A3KCwuYSGziYAZqT5Zz36mWnT2VGzC4OpnV21e5jqJ4v3uttYsYU1JesBODP5dEI03tXBYkClDn/729+oqKjgmmuuYdGiRSiKwo033sh9993H9OnTiY6OZtmyZTz55JOujlf4CMcCt5r2Or/sH6ooCpX2Gd+0SP9MfOFona+/tjRr6Gyi1dgG+M/GFcfSarTOhvmHmgtPcbRvKmg87NymeEziSJWjcY+40FiyojIA2FW7V+Vo3OPHmp8ACNEFMzFpjLrBuMmo+DziQ23dVdb7YU9fq2Jlbakt6R0am0W4PkzliHobUOK7ceNG5s2bx5/+9Ceuv/56AGbPns2CBQt44403+N///V8ee+wxampqXBqs8B3J4UkAdJg7MJjaVY7G9dpMBufX5a8zvnB0B7ea9jrnwiF/UtzqvwvbuhseOwyA0tZyvxxHx8YO0SGRZPjxgqEJibZk8FBzod/Va1usFrZX7wJgavp4QvQhKkfkHlqNlrPsHR0KGg9R016rckSutbf+gPNO76UjL/DKbkADSnzr6+uZMGECgPOLslgszuevvfZapk+fzpIlS1wQovBF3Ts7+GO5g2O2FyDNDzs6ODhmfBUUKgxVpzja95S0lAEQpg8lJSJJ5Wjcx7HYy6pYKWwpVjka13MkvuNTRvl1j9uJSeMA2zjurTugcjSudbDpCK0m292XM7OnqRyNe52eNs3573RjhX8tcltjn+2NCYnmzKypKkdzfAP6DREUFORc0BYeHo5Wq6WhoaHHMWeccQYbNmwYfITCJ/VIfP3sHS3YVsg7pPp1qYN/d3YoaikBYFh8tl8nTDnRWejti2gON/lXuUNdRz31nba/P+NT/HMBpkN6RCoJobZFbbvq/Kvc4cfqnYCtg8WkNP+rQ+8uNiSG8Qm2f6s/VG7FbDWf4hW+oay1goLGQwCcm3Umep13Ltwb0G/6oUOHsmLFCtsJtFri4+NZs2ZNj2Pq6upobW0dfITCJ0UFRRKqsxW0+2Nnh6p2WxlPfFgsYX689WR4UDgJ9no0f1vgZlWslLbaFkQNjx+ibjBuFqTVM9TeT/uQnyW+++2zvQATUkapGIn7aTQaJthrX/fV52O0mFSOyDXMVjM/1e4GYHLyOIL9sLvKsc7KOB2wlc3t9JOabUdtb5BWz6zMM1SO5sQGlPhefPHFrFu3jl//+tcAnHXWWXzxxRc8+uijfPPNNyxfvpyXXnqJYcOGuTRY4Ts0Gg3J9q2Lq/2y1MGW+GZGp53iSN/nKHfwtxnfmvZaOi22etfc+ByVo3E/R7lDYUsJJj+ZYQLItye+KeFJJEb4X4uvY01MtM2GGq0m8hsPnuJo33Cg4SDtZtuGV9NSJ6kbjIeM7rbIbUPFZpWjGbzmrla2Vdt6MM9InUpksPe2ohtQ4nvLLbdw5ZVXEhxs65V4zz33kJCQwPvvv88999zDU089RXt7O/fcc49LgxW+xbHAzR9LHartpQ4Z0f67kMYhw77ArcJQicVqOcXRvsPRxgz8f8YXji5wM1vNFHf72n2ZVbGSb7+1OjrBP9uYHWtYzBAi9OGA/3R32GYvc4gICvfbdnTH0mq0nJlmW+SW33iIGh+/M/p9+Q+YFdvfB29vtTegAoyioiKeeuopZ51vRkYGn376KR9++CGlpaUkJSVx8cUXk5ub69JghW9Jtrc0q7W3NPPG1Z0D0W7qoNloK+MJpBlfk9VMTUed33SxKLYvbIsOjiIhPI4mo/91H+luaEwOWo0Wq2LlUFOhX+xuVtpa7pwpHJ3gX9sUn4hOq2Nc4mg2V/3Irrp9XK9Yfbo+3Wgxsdterzw5aTw6rU7liDznjPRpfFn0DVbFysaKLVw1/BK1QxoQk8XE9+U/ALbtwr39b8SAflouu+wy5s6dy/vvv09zczMA8fHx3H777SxevJiFCxdK0itIsi9wM1pNNBv9Zxc/R30vBMaMb1bU0W18HTWx/sDRyiwnOtNv3pSdTIgumOyoTAAONR1RORrXcHRz0KBhZFzg/M1xbELSZjJQ2FyicjSDs6/+gLPkyB83cziZ2JAYxtkXuW2q3Oazi9y2Vu9wttc7P+tslaM5tQElvtOmTWPPnj08/vjjnH322dx7772sW7cOq9Xq6viED0sJP9oeytdv43TXvaNDZoz/z/jGhcQ6m5D7ywI3s9VMub1m2V93bDsexyzvkeYivyhbOWAvcxgSnUVYkPc1yneX0fEjnFvd7qzbo3I0g7OtxlbmEBMc5Rd3IfprZsZpALSa2thVt0/laPpPURTWlH4PQGpECqPjvf/Oy4AS37feeotvv/2WBx54gGHDhrFixQoWLFjArFmzeOqppygoKHB1nMIHOXZvA/+q83X08I0KiiA6JFLlaNxPo9Ec3cGt1T92cCtvq3TWo/nrjm3H40gsuixGn38TY7QYOWLvUDEqQOpCHUJ0wc6veVftXp/dHbPT3Mmeuv0ATEme6NMlGwM1On4EcSGxAGwo971FbgcaDzr/Jp6fOdMn7p4N+F9ZSkoKt99+Ox9//DFffvklCxYsICIiguXLl3PllVdyzTXX8NZbb7kyVuFjwoPCiAyyrez0qxlfe6mDP/fvPZZjB7fStnKf/SPbnaO+F/x7x7Zj5cYMQYPtD5OvtzU73FTkfPMyMi6wEl+ACYm2zSxqO+p7lF/5kt11+zFZbS3ZpqZMVDkadXTfye1A40Fq2+tVjqh/HLO9kUERTE+donI0feOSt1fDhg3j3nvvZcWKFXzwwQfMnz+fmpoa/vznP7vi9MKHOTs7+FFLsyp7KzNvL+B3JceMr8HUTlNXs8rRDJ6jq0FCaLxXt91xtfCgcNLtW/r6euK7v9F2ZzFYF8zQAJq1dxifONr5JsZX+8D+WPMTAPGhcQyJDrwxdDgjffrRndwqt6gcTd+Vt1Wyrz4fgJkZp/tM/2WX3lfYsWMHn3/+OStXrqSurs4npryFezk6O/jLjG+XxUhDZyPg31sVHyuz2wI3X79FDkcXtgXSbK+Do63Z4aZCrIrvrsvIb7DV9+bFDnPuShdIooIjGRZj6z/ti7u4tZva2Vdve/MyNXliQOcL3Re5bazY4jMbk6wsXgvYNqw4N/MslaPpu0Envrt27eKpp57ivPPOY968ebz22mvodDoWLVrE6tWrXRGj8GGOrYvrOup9+o+sQ7Xh6C3FtAAqdUgNT3YmF2U+Xufbae50ztpnR2eqHI3nOep8DeZ25/fB17Qa25xvwAKtvrc7R3eH4pZSn7sT81PtXiz2UpVA6+ZwPLMybDudtZkMbKn6UeVoTq2mvc65zfSZ6acRFew7610G9DZ53759fPXVV3z11VeUl9tq/hITE7n55pu58sorGTNmjKvjFD7K0dLMolho6GwkMSxB5YgGp3stXWoAlTrotDrSI1IoaS2nrM23W5qVtpajYKtTDsTbq91Xzh9qOuIsffAljk0rAEYFYH2vw4TEsXx06AsAdtXu8+ptYo/1Y/VPgK37T2ak/3fHOZVR8XlkRKZR3lbJ6tLvODN9hlcv9ltV8i0KClqNlp9lz1I7nH4ZUOJ7zTXXABAaGsoll1zClVdeycyZM9FqvXeQhDq6tzSrbq/z+cTXsXo1VBdKbEi0ytF4VmZkui3x9fGti4tbbQvbNGjIispQORrPiw6OIiU8ier2Wg41FTIr80y1Q+o3R//emOCogKq1P1ZyeCJpESlUGqrZVbfXZxLfxs4m55uXqSmTArrMwUGj0XBB1ize2P8eNe117K7bz0T7jL63aepqZlOlbVZ6RuoU59bLvmJAie9pp53GVVddxezZs4mICJyFIaL/krolurXtdZAwUsVoBu/owrbkgPtlnRGVDpVQ19lAh7mDML1v9k11bFWcFpFCiC5Y5WjUMTx2qD3xPeJzuyoqiuJMfEfG5/lU7O4wIXEslYZqChoP025qJzwoXO2QTmlr1Q7nXZfTfKQTgCdMTZnIp0e+pqmrmdUl67w28V1d8h0WxYIGDbOzz1U7nH4b0BTt66+/ztVXXy1JrzilYF0wsSExANR0+H4v36p224xvSgAtbHNwdHYA367zLWlx7NgWeAvbHBwL3JqNrdR2+Fb7pJqOOhq7moDALnNwmJw8HrCVk+2o3a1yNKemKAqb7DWsuTFDff4uoCvpuy0SO9xcRGFzscoR9dZmNLC+fBMAk5LH++TfQqlNEG7nbGnm450dTFazs8diIN5e7V6H56udHVqNbdTbu3LkBODCNoeedb6+1dYs3z7bCzAyfriKkXiHzMh0UsJtycfWqh0qR3Nqxa2lVNvXSpyeNlXlaLzPzIzTCNWFALCq5DuVo+nt27L1GO29ly/KOU/laAZGEl/hdsn2d/S+nvjWttc5b8+lhvveu9zBCtWHOktXfDXxdfTvBciJCtwZ3/jQOGdd3qGmIypH0z/77YlvakSK825SINNoNExPmQzY3sQ0djapG9ApbLbXhgZpg5icPEHlaLxPmD6Ms9Jt2xjvrN3jVRtadJg7+bZsIwBjEkb67BoJSXyF2zlmfBs6GzFZzSpHM3COhW0QWB0duju6dbGPJr72hW16rd4nuxm4kmPW15dmfE1WM/mNtsR3dAC3MTvW9NRJACgo/FizU91gTsJkNbPN3s1hYtJYwvSh6gbkpc7LmolWo0VBce6M5g3Wl2+iw9wBwEU556sczcAFTOJ74MAB5s+fz9SpU5k4cSI33ngjW7b4zg4pvszRy1dBod7H6gm7c7QyC9IGER8aq24wKnFsZFFhqMbsg29iHPW9mZHpAbnpQXeOxLe+s8HrZwkdDjcV0mUxAjgb/gtIDEtgqL013zYvLnfYU7efdnvidHrqNJWj8V5xobFMTZ4EwA+VW2kzGtQNCDBZTKwutZVe5MYM7VEu5WsCIvEtKSnhhhtuoLGxkWeeeYZly5YRGRnJrbfeys6d3vvu2F84dm8DW0szX1Vln/FNDU/y6v6K7uSY8bUoFp/b/EBRFGdHh0Cu73XIi811fry/W92sN9tbfwCwLZrN9eE/vO4wLdVW7lDaVuH8XeVtNldtA2w7lUl99sldYO+Na7Ka+L78B5WjgY2VW2k1tgFw0RDfne2FAEl8X3jhBSwWCy+++CLnnXceZ5xxBs899xyJiYksWbJE7fD8XkJYvDNRrO3w5cTXluj54ipWV/HlrYsbOptoM9lmTgK5vtchOTyRxNB4AA40FKgcTd/src8HbN0cggJ8xv5YU5MnOn/PbrWXE3iTVmObc/ymp0wO2MmDvsqKSnd2Lfm2bAMmFbcxbjd18GXhN7a4ItMZEz9CtVhcwe//5SmKwqpVqzjzzDOJj493Ph4cHMzs2bPZvHkzLS0tKkbo//RavXMhTU27b7Y0s1gtztgDsaODQ0xwNJFBtjaGvraRRXFrt4VtAdzKrLtRCbY/YAcaDnr9luJ1HfXObgBjfbwfuDtEBUc6E6VtVTtQFEXliHraWr3D+W9Mujn0zc+yzwFs2xhvss+Wq+GrolXOSYOrhl/q872z/f4tc0VFBa2treTl9V4IkZeXh9VqpaCggGnT1K83MrS0UFfqOwtN+iPaEkIdUFJbRLHF98pLGswtmO37yuvqOyg27ESn1VIbEYzBYMRi9e6kwZUSNVG0YeBQdQHFJt8Zy92t2wEI1gTRWVhBscbWizhQxxEgqdO2gYfB3M6Wnd+SFuS9PVW3t+c7P46pt1Lc1PPfXiCPo8NQcwL7sG0ys+mnNaQHJ57yNZ7yff16AFL1CXQVVVFM1XGPk3E8KkxRSNbHUWNu5NODX5HSoCdE69lNd+rNzXxrH7u8kEzCKtsprjz1732dVot+wli8Mc30vohcrL7etpgqLq73lnqOxxzHHI9Wq0Grdf27G51O2+P/hpYWDO88SLzG6PJreYO0xEiOxIbT3FFJ/AbfKy+pjAiGtFgAhu36iHiTxflcoDVUykmIoCgugtrOKuI2LMFX3vvXZMRCWDDZBgMJB//W6/lAG0eAiVoNnwxNxKrRUHXwA8Y2tqsd0gmVpsVARAipXWaGbHrphMcF4jg6zNBoWDk0EZNWw+HCjxhX16Z2SABUBuuoyba9qTqtsoj4A6f+GxDI49jd5WFBvJIRR7u1k20HX+dyD46pAnycFoM1IgS9VeGq/J+IN2/v8+tLvgsm/r+WEBoR5b4gB8DvE1+j0ZZIBgf3fpcUFBQEQGdn5wlfHx8f4dZp/eho27aveo2ZZrddRX2J9kSxRa+jS6MhxMtuw51KTbDtR0WnKCR0S3oDUVqXrZtDp05Lo15LvNn7Z2XMQFmI7ec9p1O9WjlvE2pVyO40URQWzMHwYC7w0sTXpIHDYbbf4SPbu1SOxnuFKApjDF3sjAplV2Qol9W1oVM7KODHKNvfOZ2iMKH1xH9vRW95HSbGtnWyNzKUH2LCmNHSQYrRM3+DDoQHUxBh20zj7KZ2Egbwuz4yMoyoWO/a5dfvE9+QENugmUy9/9g5kuKwsLATvr6hweC2Gd/o6DBaWjqwWKyAnpibnqW22D9LHcK6KqBhNQDFp/0XKUHxp3iFdylv2gAdR4gLiqXt7JsB292AsLAgOjpMWK2+lcgPRpSpGeo+BeDgpGsYFZajckSnVmGsw1z/FQAJuZfTPPZo4/VAHUeHrNZdFLXtpCQshJqz7vb4rdS+ONxZjrlxDQCZuVfTPKZ3nX2gj6NDXmcZOxvXYtBr2Tn9l+SGqrvJgFWxsqPmP2DtZHhYDuazbj7pJI+MY2+zzG3k136KWWPhw+FjuD7+QrfX2ZoVC5/WfgaWViK1YUwZ/UuatUF9fr1Wq2HYuDEo2mAaGz3Tji0urm8Jtt8nvklJ9s0TGhp6PVdXV9fjmOOxWhW3/vBZLFbM9ndRIeGRZI4e77ZrqSmsIwN+sCW+pMSSmeJbX2fLVtsf3ay4bOcY6fVa4uIiaGw0OMcwEKQrVkK++5oui5G2aC2Zw71/LAtKvwd7RdP0cecQHnT0zW6gjqPD6S0xfL9tJ1YU2pJDyU0aq3ZIvWwsOAyNEKYP5bQJ56HT9p7HDPRxdEizjuGrDZsxmNopDG7inNFzVI1nT91+DFW2Wd5z884j8xT/vmQce8sEZhe28WXhNxQbq6lNhCnJ7v29+03xtzRWtQJw7agrGZY6pV+v1+u1RMV65zj6fVeH1NRU4uLiyM/P7/Vcfn4+QUFBjBjh2605fEFcaKxzwwBf27rYqlidrcxSA7iVmYNWo3W2AytqKVE5mr4pbC4GbB05uie9ArKjMonQhwOw3wvbmimKwt46W//eUXF5x016xVE6rc65FfDOuj0YLequG1lXbtviNjIogrEJo1SNxZddmH0uCfbuSP85+JlzIxd3aO5q4auiVQAMi8lxbontL/w+8QW46KKL2LhxI7W1R1tptbe3s3LlSmbNmkVEhHfVn/gjrUZLUphtcYOv9fJt7GzGaLWVygTqVsXHGhJj2yWquLXM69tgARyxJ75Do72/LMPTtBqtczOB/fW9JwjUVtNeS12n7Y6dJE5940hUjBYju+r2qRZHRVsV++z/ps7OOF3etAxCsC6Ia/MuB6Cpq5mVRWvcdq1PDn9Fl8WIBg1z8670+fZlxwqIxPfOO+8kLCyMBQsW8O2337JhwwbuvPNOOjo6WLRokdrhBQzHDm6+1su3qv3oLkip4TLjCzDE3gfXaDFS6aW7RDk0djbR1GWrKhwWI4nv8Yy2N6Sv62ygtt27thV37NYGMEb69/bJsJgcZ+/0TZXq9X91bHGr1+qZlXmmanH4iwmJY50/q6tK1rnl7umBhoNsrvoRgDPSppHth7tcBkTim5KSwttvv01SUhKLFi1i4cKFaDQa3njjDYYPl20TPSU53FZLXeNjM76OxE6Dxvk1BLoh0dnOj4uavbvcwTHbCzBUEt/jGt1tJ6b9Dd416+vY7SsrKoOYkGiVo/ENWo2W01Jtm0TsbyigvK3S4zE0d7WwtWoHAKelTiE62LtaWvkijUbD3Lwr0Gl0mBUL/zn4mUvPX9FWxf/tfhOAMH0YV+Re7NLze4uASHwBcnNzWbZsGdu3b2fHjh0sX76c8eO9f1GOP0kKt5U6GEztzl1gfEFFm63RelJ4AsG6vq9q9WcxIdHEhcQC3l/n66jvjdCHkxzuPQ39vUlcaKzzbsb+hoMqR3NUp7mLg01HAClz6K9zMs90buu8uuQ7j1//27INWOyb/pyfNcvj1/dXKRHJnJc1E4A99ftZ46Kxbe5q5YWdr9Jp6USr0XL7uBuJCo50ybm9TcAkvkJ9yWFHZ0trfWiBW4XBlvimR6SpHIl3cZQ7FLWUnuJIdR1psdf3xmSj1civvBMZbd++uKDxEBard/Sqzm885EyeJPHtn6jgSE5Pmw7Ytgtu7Gzy2LU7zV18X74JgPGJo2VRsItdPOQCEkNtLUH/c+hzvivbOKjzdVmMLNu1nMauJgDmjbyWUfG9d7v1F/JXQHhM9zIBX+nsYOvoYCt1SI9MVTka7+JY4FZpqKbT7J1N6Y0WE6Wt5YCUOZyKo9yh09JFoZfM4jvqeyP04c43WqLvzs86Gw0arIqVNaXfe+y6P1RupcPcAcAFWed47LqBIlQfyt2T5zvvur1X8DEbK7YM6FxWxcryvW9T0loGwJyc8zkjfbqrQvVKkvgKj4kOjiRUZ9tQpKq9RuVo+qa2vQ6T1bZTWUaEJL7dOep8FRTnL01vU9Kt64QsbDu5vNhh6DW2Vffe0N1BURRn4js6YYTM1g9Acngik+z9XjdUbKbd5P6d+SxWC2vtSXZOVBbDY4e6/ZqBKDEsnnsm/zcx9trptw/8h82VP/b7PB8e/Jzd9s4f01Imcdmwi1wapzeS3yTCYzQajbMdmKMvrrer6NaxIE1mfHvIjspwJiPeWu7gqO/VarRkR8mM4ckE64LJtScp3lDnW2GocnbjkDKHgbsw2zbj2mUxOssP3Omn2j3UdzYCcEH2LL9rheVNksOTuGfyfKKCIlFQeHP/+/xYvbNPr7VYLawoWsPasvUA5MYM4cbRPw+I8ZLEV3hUmj3xrbTXzXq7Cvtq6CBtkLMPsbAJ1gWTbp8F99bE19HRISMilVB9iMrReD9HuUNJaxltRnUXoO6s3QPYuqmMiZc2ZgOVE53FiNhcANaWrcdkMbntWoqiOBfSJYTGMSlpnNuuJWxSI1K4e/J/E6EPR0HhtX3v8F3ZDxhOMLtvtBhZV7aRxZv+wqdHvgZsrUbnT/iVczGkv5PEV3iUI/Gt62jA6MZfwK7iWNiWFpEst1qPw7nAzQtbmimK4pzxHRozRN1gfIQj8VVQONCo3qyvoihsrba1whoRl0tksGwyNBg/yzkXgFZjG1uqtrvtOoeaCilutb0JPj9rlmxY4SEZkWksnHw7YfowrIqV9wo+4qHvF/PMtn/wVeEqSlrKMJja+bpoNb/f+P94v+Bj56x8Sngyd0y8lcigwPkZC4z0XngNR+KroFDdXkNWVIbKEZ2co5WZdHQ4viHR2ayv2EyzsYXGzibiQmPVDsmprqOBVlMbIPW9fZURmUZUcCStxjb2NxQwLWWSKnGUtpY7F8D623apahgTP4L0iFQqDFWsKl3HGenT3fJGfnXpOgDC9WGcnjbN5ecXJ5YdlcnCSbfx6p63qe9sQEGhsKWYwpZiPi9ceZzjM7gw5zwmJY0LuEkdSXyFR6V12/K30lDt1Ymv0WKktsO2i5V0dDg+R2cHsJU7eFPie6S5yPmxdHToG41Gw+j4EWyp2s7e+gNYrBZVZu0cs716rZ5JyXK7fLA0Gg0X5pzL6/vepaa9jl11+1xehlDcUsruuv0AnJ1xhpQWqWBIdDaLz3iIsrZK9tUfYG99PoUtxT22lR8ZN5zZOecxMm54QNTzHo8kvsKjYkNiCNWF0mnp9PqtbisN1SgogCS+J5ISnkSoLoROSxdFLSVMTvaeTWEcLbmig6NIsG/fKk5tUtI4tlRtp9XYRkHjYWd/X0+xKlZ+rP4JgHEJowjTh3n0+v5qavJEPj38NY1dTXxT/C0TE8e6LPExWUy8sf99AEJ0wZyTeZZLziv6T6PRkBWVTlZUOhcNOZ92UwcHGg9S017L6PgR5EhbQKnxFZ6l0WhIszcz9/bE11HmAFLqcCJajZZs50YW3lXn65jxHRqTE7AzGwMxJmEU4fZkc0u1++pBT+Rg4xGaja2AlDm4kk6r4/zsswHbz6ora7i/KPzG2e/82uGXExMi2xN7i/CgMKYkT2DOkAsk6bWTxFd43NHODl6e+NoXtkUGRRDtp1s3uoJjgVtJS5nX7PjVae50vnGR+t7+CdLqmZI8AbC1puqyGD16/W32Mocwfai0MXOxM9NmEKEPB+DNfe/Tamwb9DkLm4tZVWKr7R0dP4Iz02cM+pxCuJMkvsLjHIlvvZd3dnAkTmkRKTJjeBKOjSyMVpPXvJkpail1lqlI4tt/01OnALY69921ez12XZPFxI7a3QBMShpPkC7IY9cOBKH6EK4fdS0AzcYWXt/3bo/6z/4yWky8uf99FBRCdaHcMOo6+V0pvJ4kvsLjUo/p7OCtHDO+6ZFS5nAyjsQXvKfcwdHGTKfRkRXpvQsovdWwmBxnXfQW+wysJ+xtyKfDvv21Wh0l/N3k5PGclzkTgP0NBawoWjPgc3125Guq22sBuC7vcq9a3CrEiUjiKzzu2M4O3qjNaKDFXmcoWxWfXExIlHPPeG/ZyOJIiy3xzY7KkFnDAdBqtM762v0NBS65Jd4X26psSXZMcBQj4nI9cs1AdNXwS5z1nl8UfkN+w6F+n+NQUyFrS227fo1NGCXty4TPkMRXeJyjswN4b+JbYah0fiwdHU7N0dbMG2Z8rYqVQvuGGtLGbOCmp9oSX1uXhb5tgzoYHeYOdtfb2mFNTZkUcL1FPUmv1XPb2BsI14ehoLB839s0d7X0+fVdFiNv2UscwvRhzBt1rZQ4CJ8hv1mEx9k6O3j31sXl3To6dJ+hFsfnWOBWZahx3qpWS3V7LR3mDkAS38FIjUhx9tn2RHeHn2r3YraaASlz8ISEsHhuHvMLwLaj2/K9b/dpcWqHuZO3D3zg7HE+N+8KYkNi3BqrEK4kia9QxdHE1ztrfB0L2xJC4wnVh6ocjfdz1PkqKJS0lKkaS37j0du2ubJV8aDMsJc7FLeUOms53cVR5pAclkh2VKZbryVsxieO4cLscwE42HSEjw59ccIuHoqisK1qB49veppt9j7LExLHMsO+EFIIXyGJr1CFo5evrbODZ9sl9cXRhW1S5tAX2VEZzlvTapc77K8vACA9IpWYkGhVY/F1U1MmocF2C3trlfsWuTV3tTrfsExLnSy3zT3o8mEXMcz+BnFt2Xp+s/4x3tj3HgcaDjo7PlS0VfH3HS+yfN87zh7LExPHcuPouTJWwufIzm1CFWn2BWMKClXtNV41w2NVrM4SDFnY1jfBumAyIlIpbatQdYGb2WqmoOkwYOspKgYnJiSaUfF57G8oYGvVdi4deqFbEp3tNTud7eemS5mDR+m0Om4bdwP/+OkVKgxVdFmMbK76kc1VPxIbEkNuzBB21O52JsGJYQn8fMSV0mNZ+CyZ8RWqSIvs1tmhzbsWuDV0Njlv96XJjG+f5XRb4KYoiioxHGkudt5B8PRWu/7K0d2hrrPBuQ20qzlmk3OiskgOT3LLNcSJxYbE8NsZ93P/lDs4K/00wuzlXU1dzfxYsxOrYiVIq+eyobN5ZMYiSXqFT5MZX6GKmOBowvShdJg7qfKyXr4Vbd06OsiMb58Ni85hffkmWoytVLfXkmovZ/Gk/Q22MocgrZ7cmKEev74/mpg0juD8DzFaTWyt2uHyDUEKm4spbrXdJZiWMtGl5xZ9p9FoGB47lOGxQ5mbdwW76/ezufJHDjQeZEz8SK7Nu5zEsHi1wxRi0CTxFapwdHY40lzsdZ0dHPW9Oo2OFJl96rNR8XnOj/c15KuS+B6wJ77DY4cRLP17XSJUH8KEpLFsq/6JH2t+4rq8y9FpdS47/6dHVgC2LYpPk16wXiFIF8SU5AlMSZ6AoihSxyv8ipQ6CNWkhts7O3hZqYOjo0NqRLJL/8D7u5iQaDLsu9w5Fph5UquxjdLWCkDqe13NsXLfYGpnX0O+y857oOEgBfZFbT/LPoeIoHCXnVu4hiS9wt9I4itU46jzre9s9KrODuWOjg5S5tBvY+JHAnCw6TBGi8mj185vOOhcICWJr2uNissjKigSgBVFa5wLnQZDURQ+PfI1AJFBEZxr30ZXCCHcSRJfoRpHL19HZwdvYLKaqbH3K5VWZv03xr6gzGQ1c7ip0KPX3mcvc4gJjpZNR1xMp9Xxs5xzAChsKWFL1eA3tNhVt49ieweQOUMuIFQfMuhzCiHEqUjiK1TTPTnxlnKHakONczZLZnz7b1jMEIJ1wQAuvSV+KoqiOOt7R8ePkNuzbnBu5lnOmvePD3/p3B1vIKyKlc/ttb1xIbHMTD/NJTEKIcSpSOIrVOPo7ABQafCOxLei20I7R72q6Du9Vs/IuFzg6AysJ1Qaqp2N9Ud3W2QnXEev1XNd3hWArZ76q8LVAz7XtuqfnD9rlwz9GUGyEFEI4SGS+ArVODo7gBclvvaFbWH6UNl/foAcdb5VhmoaO5s8ck3H7LIGDaOkvtdtxiSMZELiWMC2y1fVAH5uLVYLXxxZCdi2Jz4tdapLYxRCiJORxFeoyusSX/ssVFpEqtwuH6DR9sQXPFfucKDhIABZUelEBkd45JqB6tq8y9Br9VgVK/8u+LTfm5VsrNxCXWcDAJcNmy2dU4QQHiWJr1CVY+vihs5G525panLM+MrCtoFLCk8gKSwBgH0eaGtmtJg41HQEQGZ7PSAxLIELs20L3Q40HmRX3d4+v9ZoMfFV4SrAVko0OXmCW2IUQogTkcRXqKp7Z4dqg7qdHdpNHTR2NQGQIQvbBsUx65vfeBCL1eLWax1uKsRkNQMwRhJfj5idcx5xIbEA/OfgZ31qXacoCiuL1zhrsa8YNgetRv4ECSE8S37rCFV1391L7XKHktYy58cZkekqRuL7HG3NOsydFNlbVrmLY5viYF0wQ128na44vmBdMNfkXQbY+nCvKvn2pMcbLSbeOvBvviqyLYgbFpPD2IRR7g5TCCF68dnEt7W1laeeeoqzzz6bcePGMXv2bJ544gkaGxt7HGexWPjnP//J7NmzGTduHOeccw5PPfUUnZ2dKkUuurN1dggD1E98HQmaVqMlKypD1Vh8XV5sLjqNrXZzv5vrfB2J74jYXPRa2YXdUyYnjWdErK2Dx4ritXx6+GtajW29jqtpr+OZH59nU+U2AJLCErhp9M+lhl4IoQqf/CthMpm4/fbbOXz4MPfccw+jR49mz549PPfcc2zZsoWPPvoInc72R/eJJ57g/fffZ+HChcyYMYODBw/yl7/8haKiIv75z3+q/JUIR2eHI81Fqie+jmb6GZFpBEt7pUEJ1YeQGzuUgsZD7Ksv4LJhF7nlOk1dzc4FiaMTpMzBkzQaDXNHXMlT257DbDWzongNa0q/44y0GfwsexYJYfHsrN3Lm/vfo8Nsm2iYmDSOm0bPdb7ZFUIIT/PJxHfNmjX89NNPPPnkk1x99dUATJ8+HZPJxF//+le2bNnCGWecQWlpKe+88w633nord9xxBwBTp07FarWyePFitm3bxrRp09T8UgR4ReKrKApFLSUADInOVi0OfzImfgQFjYcoaS2jzWhwS7cFRzcHkG2K1ZAemcoDU+7ky6Jv2F23H5PVzHflG1lfsYnhMUMpaDoM2O6iXJl7MRdkzZKZXiGEqnyy1GH48OH86U9/4sILL+zx+KhRtpqxyspKAFavXo2iKFx++eU9jrv00kvRaDSsWrXKMwGLk3IscKvvbFCts0NjVxMt9kU3Q6KzVInB34xJsC1wUzi6q5qrOcoc4kPjSA5LdMs1xMllR2eyYMIt/HbG/UxPmYJWo8WqWJ1Jb1RwJPdM+m9+ln2OJL1CCNX55Ixvbm4uubm5vR4/csTW0ig72zZjl5+fj0aj6XVsTEwMycnJ7N+/3/3BilPqvjVweVsFw2KGeDyG7guwZMbXNdIjUokJjqLZ2Mq+hgKmpU526flNVjP762WbYm+REZnGf439JZcNm83qku/YVLWNYdE53DzmF8SERKsdnhBCAD6a+B5PdXU1y5YtY9SoUUydatsJqL6+nsjISIKDg3sdHxcXR0NDwynPq9Vq0Gpd/wdVp9P2+H8gGxafjQYNCgolbWWMSBjm8RhKWm2Jb5g+lPTo5D61WZIxPLUxiSP5oWIb+xsK0Ok0Lk1Ot1fuxWBuB2BK6nj0+oGNg4yja6VGJXLD2GuYN+Zqj74ZkXH0DzKO/sGbx9GrEl+TyURJSclJj4mKiiI5ObnHY/X19SxYsACj0cjTTz/t/GXb1dV13KQXICgoiObm5lPGFB8f4dZf3tHRssgjjggyo1MpbamkrL2cuDjP77xV1l4OwPCEISTER/XrtTKGJzYjZwI/VGyjxdhKi6aJIXGZLjv3xh1bAEiOSOCs4ZMH3RNWxtE/yDj6BxlH/+CN4+hViW91dTWXXHLJSY+5+uqrefLJJ52fl5SUcPvtt9PY2MjLL7/MiBFHF7iEhoZiMh2/sbrRaCQ0NPSUMTU0GNw24xsdHUZLSwcWi9Xl5/c12VFZlLZUkl97mMZGg0evbbFaOFxfDEBmeEafry9jeGrZITnO2fwfCncQQ5xLzlvRVsX+WtvCtrPST6O5qWPA55Jx9A8yjv5BxtE/qDGOfZ0086rENzMzk/z8vvf8PHDgALfeeiuhoaG88847DB8+vMfziYmJtLa2YjQae8381tfXOxfDnYzVqmC19m8v+v6wWKyYzfLDnROVxQa20NDZRL2hyaM1gaWtlRitJmcc/R0PGcMTC9WGkROdRVFLCVsqd3BBpmsWOH1b8gMAOo2O01KmueT7L+PoH2Qc/YOMo3/wxnH0vuKLPiovL+f2228nISHhuEkvwOjRo1EUhYMHD/Z4vK6ujrq6OsaOHeupcMUpdF9Q5mgr5indr5cjHR1c7vQ0W819eVtlj/ZjA9VlMbK58kcAJiePJyo4ctDnFEIIERh8MvG1WCzcc889BAcHs3z5clJSUo573IUXXoher+eTTz7p8bjj84svvtjtsYq+SYtIIURnm5UvbFYn8Y0PjSM6uH/1veLUTkudRmSQ7RbUqpJ1gz7fj9U/0WmxbYgwM/30QZ9PCCFE4PCqUoe++uijj9izZw+LFi2isrLS2bfXIS4ujszMTFJSUrj11lt55ZVXiIuLY8aMGezdu5fnnnuOa665htGjR6v0FYhjaTVacqKzKWg85PEZX8eObdK/1z2CdUGcm3kWnxeu5EDjQUpay8iOGvgit+/LNwGQGpHC8NihrgpTCCFEAPDJxHfbNtue788++yzPPvtsr+e7L4BbtGgRMTExvP/++/zjH/8gOTmZ2267zbmTm/AeQ6KzKGg8RHFrGRarBZ1W5/Zrdpg7qTLU2K8v/Xvd5ezMM1hZvBaj1cTqku+4Zey8AZ2nuKWUktYy2znTT5fevUIIIfrFJxPfJ598skdnh5PRaDTcfvvt3H777W6OSgzWUHviabQYqTRUkxmV7vZrlrSUoWBbvCj1ve4TGRTBGekzWFe2ge01u7hi2BwSwuL7fZ719tneYG0QM1KnuDpMIYQQfs4na3yFfxoSc3TGtdBD5Q6OsgqtRkt2VIZHrhmoLsg627md7ZrS7/v9+nZTB1urfwJgWsokwoO8rz+kEEII7yaJr/Aa0cFRJITaZgE9Vefr2Ko4IyKVYN3xNzsRrpEQFs/kpPEAbKzYQpupf/2at1Rtx2RvOzczQxa1CSGE6D9JfIVXcSwwK/JAZwdFUZwJdk6M1Pd6ws9yzgHAaDXxfdmmPr9OURS+L7f17s2OypCyFCGEEAMiia/wKkNjcgCoaq+h3TTw3bj6oqmrmRZjKwBDoiSR8oTsqExGxtl6bq8r24DRcvydFY91qKmQqnbbIsSzM85wW3xCCCH8myS+wqt076zgaDPmLt3riIfIjK/HXJh9LgCtpjY2V/14yuObu1p5N/9DAML0oUxNmeTG6IQQQvgzSXyFV8mMSkevsbUxc3edr+P8obpQUsKT3HotcdSo+DwyItMAWFPyHVblxNtZNne18PcdLzpney/KOd+50YkQQgjRX5L4Cq8SpNWTae+u4O7ODkXNthnlnOhMtBr5UfAUjUbDz7Jttb41HXW8tPsN6jsaeh3X1NXM33Yso9qe9M4ZcoHzdUIIIcRAyF974XUc/XyLmktQFMUt17BYLZTaN0KQjSs8b2ryROes7+66fTy++a98XbQak9UM2JLev29/kZr2OgAuHvIzLhs6WzasEEIIMSiS+Aqv4+jsYDC3U9tR55ZrVBqqMdpbY0mHAM/TaXUsmnIHF2TNQqvRYrKa+OzICv68+Vm2Ve2wJb32sb9k6IVcNkySXiGEEIMnia/wOkPsnR3gaJ9dV+tePywzvuoI1YdyTd5l/Gb6feTGDAVspQ/L973jTHovGzqbS4deqGaYQggh/IgkvsLrJITGERUUCUChm/r5OhLquJBYYkKi3HIN0TfpkancP2UBN4/+hXPcAS4fdhEXD/2ZipEJIYTwN3q1AxDiWBqNhiEx2eyu20dRS7HLz68oCoebCgFpY+YtNBoNp6VNZXziGDZUbCY+NI6pKRPVDksIIYSfkRlf4ZUc5QdlbZV93uSgr6raa5y30kfH57n03GJwwoPCuDDnXEl6hRBCuIUkvsIrOTo7WBUrpa3lLj33TzV7ANCgYULiWJeeWwghhBDeSxJf4ZVyojPRYFvFX+jicoeddbbENzd2CFHBkac4WgghhBD+QhJf4ZVC9aGkRaQAtn6+rlLf0eicQZ6YNM5l5xVCCCGE95PEV3itofaFZwVNh7FYLS45p2O2F2BioiS+QgghRCCRxFd4LceMrMHUzr6GfJecc2etLfHNisogISzOJecUQgghhG+QxFd4rVFxeUQGRQCwtWrHoM/XamzjcFMRAJOkzEEIIYQIOJL4Cq+l0+qYmjIJgF11e+kwdw7qfLvq9qKgAFLfK4QQQgQiSXyFV5uROhkAk9XsLFMYqJ21ewFIDk8kNTx50LEJIYQQwrdI4iu8Wk5UFklhCcDgyh06zJ3kNxwEYFLSeDQajUviE0IIIYTvkMRXeDWNRsP01CkA5DceormrZUDn2Vt/ALNi6wwxMUk2rRBCCCECkSS+wutNT7GVOygo/Fj904DO4SiTiA2JITsq01WhCSGEEMKHSOIrvF5yeCJD7FsYb6nuf7mDyWJib/0BwDbbq9XIP3shhBAiEEkGIHyCY9a3tLWcKkN1v157oPEgXRYjIJtWCCGEEIFMEl/hE6amTHTO1PZ3kZujm0OEPpzhsUNdHpsQQgghfIMkvsInRAVHMio+D4Ct1TtQFKVPr7NYLeyu2wfA+MQx6LQ6t8UohBBCCO8mia/wGTNSbN0d6jsbOdJc3KfXHG4uos1kAKSbgxBCCBHoJPEVPmNC0liCdcGAbdb3VEwWEx8d+hyAYF0wo+JHuDU+IYQQQng3SXyFzwjRBTsXp22v3onZaj7p8e8XfExJazkAc3LOJ1gX5PYYhRBCCOG9JPEVPmW6fQtjg7mdbSfp6buhfDMbK7cCttreC3PO9UB0QgghhPBmfpP4/td//RcjR45k8+bNPR63WCz885//ZPbs2YwbN45zzjmHp556is7OTpUiFYMxKm44McFRALy1/998VbgKq2LtcUxRSwnvF3wMQFJYAjeP/oX07hVCCCGEfyS+H374IT/88MNxn3viiSd4/vnnufrqq3n99de54447eO+997j//vs9HKVwBZ1Wxy1j5xERFI6CwueFK1m26zUMpnYAWo1tvLz7LcyKhWBtEPPH/4rwoDCVoxZCCCGEN/D5xLe+vp6nnnqKc889t9dzpaWlvPPOO/zqV7/ijjvuYOrUqfzyl7/kwQcfZM2aNWzbts3zAYtBy4vL5aFp95ITlQXA3voDPLX17xS1lPDq3rdp7GoC4IbRc0mPTFUxUiGEEEJ4E59PfP/85z8TGxvLjTfe2Ou51atXoygKl19+eY/HL730UjQaDatWrfJUmMLFEsLiuH/qHZydcQZga3H29LbnKWg8BMB5WTOZljJJxQiFEEII4W30agcwGOvWrePzzz/n9ddfR6PR9Ho+Pz8fjUZDbm5uj8djYmJITk5m//79ngpVuEGQVs8vR17N0Ohs3sn/EJPVBMDw2KFcnXupytEJIYQQwtv4bOLb3t7O4sWLufrqqzn99NN7LWoDWxlEZGQkwcHBvZ6Li4ujoaHhlNfRajVotb2T6sHS6bQ9/i8G7qys6eTEZvDWvg8ADfMn3kRIsPtbl8kY+gcZR/8g4+gfZBz9gzePo1clviaTiZKSkpMeExUVRXJyMn//+98xGAz87//+7wmP7erqOm7SCxAUFERzc/MpY4qPjzjubLKrREfLwitXiIvL46ns36hybRlD/yDj6B9kHP2DjKN/8MZx9KrEt7q6mksuueSkx1x99dXccMMNvPnmmzzxxBPEx8ef8NjQ0FBMJtNxnzMajYSGhp4ypoYGg9tmfKOjw2hp6cBisZ76BcLryBj6BxlH/yDj6B9kHP2DGuMYFxfRp+O8KvHNzMwkPz//pMeYzWauu+46Jk+ezEUXXYTBYABw9uXt7OzEYDAQERFBYmIira2tGI3GXjO/9fX1jBo16pQxWa0KVqsywK/o1CwWK2az/HD7MhlD/yDj6B9kHP2DjKN/8MZx9KrEty+qqqqci9KmTJnS6/n58+cDtoVto0ePRlEUDh48yNixY53H1NXVUVdX1+MxIYQQQgjh33wu8U1OTuZf//pXr8f379/PE088wSOPPMLo0aMBuPDCC/l//+//8cknn/RIcj/55BMALr74Ys8ELYQQQgghVOdziW9wcDDTpk3r9bjFYgFgxIgRzudTUlK49dZbeeWVV4iLi2PGjBns3buX5557jmuuucaZIAshhBBCCP/nc4lvfy1atIiYmBjef/99/vGPf5CcnMxtt93GHXfcoXZoQgghhBDCgzSKorhv5ZYfqK1tdct59XotcXERNDYavK7wW/SNjKF/kHH0DzKO/kHG0T+oMY5JSVF9Os77OgsLIYQQQgjhBpL4CiGEEEKIgCCJrxBCCCGECAiS+AohhBBCiIAgi9uEEEIIIURAkBlfIYQQQggRECTxFUIIIYQQAUESXyGEEEIIERAk8RVCCCGEEAFBEl8hhBBCCBEQJPEVQgghhBABQRJfDztw4ADz589n6tSpTJw4kRtvvJEtW7aoHZYYgAMHDjBnzhxGjhzJ4cOH1Q5HDMDGjRu5/vrrmThxIjNmzGDevHmsW7dO7bBEP61Zs4Z58+Yxffp0Jk2axC9/+UtWrlypdlhigLZu3cqoUaO46aab1A5F9NNNN93EyJEjj/vfkiVL1A4PkMTXo0pKSrjhhhtobGzkmWeeYdmyZURGRnLrrbeyc+dOtcMT/fCvf/2LuXPn0tbWpnYoYoDWrFnDLbfcQmRkJEuXLuXpp58mJCSE+fPn89VXX6kdnuijTz75hDvuuIOMjAz+9re/sWTJEvR6PXfffTdffvml2uGJfjIajfz+979HthjwXWPHjuWDDz7o9d+8efPUDg2QDSw86uGHH+brr79mzZo1xMfHA7Yf8tmzZzNkyBBee+01dQMUfbJlyxZuv/12Hn30USorK3n++ef58ssvyc3NVTs00Q+XX345RqORzz//nKCgIAA6Ojo499xzyc3N5e2331Y5QtEX559/PmlpafzrX/9yPtbW1sY555zD2LFjeeONN1SMTvTX3/72N95//33S0tIIDw/nzTffVDsk0Q+OWXpvHjeZ8fUQRVFYtWoVZ555pjPpBQgODmb27Nls3ryZlpYWFSMUfRUbG8u7777Lddddp3YoYoAUReGOO+5g8eLFzqQXICwsjJycHKqqqlSMTvRVV1cXt912G/fee2+PxyMjIxk2bBgVFRUqRSYGoqCggJdffpkHHniA8PBwtcMRfkqvdgCBoqKigtbWVvLy8no9l5eXh9VqpaCggGnTpqkQneiPESNGqB2CGCSNRsMll1zS63GTyURxcTGjR49WISrRXyEhIdxwww29HjeZTFRWVso4+hCr1cqjjz7K5MmTufbaa/n444/VDkn4KUl8PaS+vh6AuLi4Xs85HnMcI4RQx9KlS2lqavKaWjTRPxaLhZKSEp599lm6urq455571A5J9NE777zD3r17+eSTT9QORQxSY2MjDz/8MJs2baKuro6cnBzmzZt33DepapBSBw8xGo2ArbThWI5brZ2dnR6NSQhx1LvvvstLL73ENddcw+zZs9UOR/TThx9+yJgxY5gzZw6lpaUsX76c8ePHqx2W6IOqqir++te/Mn/+fIYNG6Z2OGKQysrKSE9P569//StLly4lMzOTxx57jFdeeUXt0ACZ8fWYkJAQwHYL7liOpDgsLMyjMQkhbJ5//nmWLl3K5ZdfzuOPP652OGIAzj//fD788ENqa2v59NNPuf7661m8eDHXXHON2qGJU1i8eDHJycn8+te/VjsUMUhLly5Fr9cTGRnpfOzcc8/lF7/4Bc899xy/+MUvejynBkl8PSQpKQmAhoaGXs/V1dX1OEYI4Tl/+MMfePfdd7n99tt58MEH0Wg0aockBiA2NpbY2FjA9of2wQcf5I9//CMXXHABMTEx6gYnTmjFihWsXbuWF198EZPJ5JwcslgsABgMBoKCgo57t1R4H8fPYHcajYYLLriAnTt3cujQISZNmuTxuLqTxNdDUlNTiYuLIz8/v9dz+fn5BAUFyaIpITxsyZIlvPfee/zud7/j5ptvVjsc0U81NTWsW7eOyZMnM3z48B7PjR07ls8++4yioiImTpyoUoTiVNauXYuiKMyfP/+4z0+ZMoWFCxdy9913ezgyMRBWqxWr1Ype3zO9dJRyOu5+q0kSXw+66KKL+Oijj6itrXXO7ra3t7Ny5UpmzZpFRESEyhEKEThWrVrFsmXLePDBByXp9VFGo5FHHnmEK664gqeffrrHczt27AAgLS1NjdBEHy1YsOC4rSGfeOKJ/9/efYdHWaWNH/9OzUx6740UeugdQUWkKWJdlWJbZRHbLquru7r6uuv6W19d8RV1bbtSRFEUBF0pIogUJTTpJIQW0nudSaY9vz8ikWwINZMpuT/XlSv6tHMPd57knjPnOQeAZ555htjY2I4OS1yC3NxcJk2axIwZM3jyySebt9vtdtatW0dwcHCrN6iuIIVvB5o9ezarV69m1qxZPPLII+h0Ot577z3MZjNz5sxxdXjiAuXl5VFZWQk09TgB5OTkYDKZAOjWrZt8LOfmbDYbf//734mPj2fo0KHs27ev1TGSR/cXHx/PlClTWLFiBf7+/owdOxaAtWvXsmbNGm6++WYiIyNdHKU4l+TkZJKTk1ttDwgIAJApPj1IYmIi1157LQsWLECr1TJixAhMJhMfffQR2dnZvPDCCy3mTXcVWbmtgx09epSXX36ZzMxMFEWhX79+zJkzR54+9iBPPfUUy5cvb3P/t99+S3x8fAdGJC5WXl4e11xzzTmPkTx6BpvNxsKFC1m+fDknT55Er9eTkJDApEmTuOeee9ziD624eJ6wAphozWKxsGDBApYuXUpBQQE6nY6ePXvy61//mjFjxrg6PEAKXyGEEEII0UnIPL5CCCGEEKJTkMJXCCGEEEJ0ClL4CiGEEEKITkEKXyGEEEII0SlI4SuEEEIIIToFKXyFEEIIIUSnIIWvEEIIIYToFKTwFUIIIYQQnYIUvkII4QXmzp1Lz5492bRpk9PaePzxx+nfvz+HDh1yWhtCCOFMUvgKIYSHWLJkCdu2bWu1ffXq1bz99ts88sgjjBo1ymnt/+1vfyMuLo4HH3yQ6upqp7UjhBDOIoWvEEJ4ALvdzksvvURmZmaL7RUVFTz77LOkpqYyc+ZMp8bg4+PDiy++SFFRES+++KJT2xJCCGeQwlcIITxAdnY2JpOp1fa33nqL6upqHnroITQajdPj6NOnD+PHj2fFihUy5EEI4XGk8BVCCDf31FNPceONNwLwxhtv0K1bN+bNm4fZbOazzz4jLi6OiRMntjhnxowZdOvWjaqqKt59913Gjx9P7969GTZsGE8++WSroQrZ2dk88cQTjBkzhoyMDIYNG8bUqVNZuXJlq3juvPNOFEVh4cKFTnvNQgjhDFpXByCEEOLcpk2bhq+vL4sXL2bChAlMnDiRtLQ0MjMzMZvNjBo1CrX67P0Yf/vb38jNzWXGjBno9XpWrlzJF198gdls5vXXXwcgLy+P22+/HT8/P2bMmEFsbCw1NTWsXLmSJ554gpqaGqZPn958zYEDB+Ln58fatWv561//ilYrf0qEEJ5BflsJIYSby8jI4MiRIwCkpaUxYcIEAD755BMArrjiijbPzc3NZfHixc3F6aRJkxg1ahTr16/HYrGg1+tZt24dJpOJv/3tb0yaNKn53Ntvv53HHnuMwsLCFtfU6XQMGTKEDRs2cOjQITIyMtr19QohhLPIUAchhPBQJ06cAKBLly5tHjN9+vQWPbL+/v6kpaVhtVqprKwEaN6fmZmJoijNx2q1Wt58802eeOKJVtdNSUkBmnqLhRDCU0jhK4QQHqqiogKA0NDQNo9JTk5utc1gMABgtVoBuP7660lLS+Pjjz9m7NixvPDCC3zzzTfU1dW1ed3TbZ6OQQghPIEUvkII4aFqa2sBCAgIaPMYHx+f814nODiYJUuW8Lvf/Q6j0ciiRYt4+OGHGT58OH/84x+pqalpdU5gYGCLGIQQwhPIGF8hhPBQpwve2trac/b6Xui1Zs2axaxZsyguLmbz5s18/vnnLFu2jKKiIj744IMWx58uhs9VdAshhLuRHl8hhPBQzhpuEBUVxS233MKHH35Ir1692Lp1a6ue3fLy8hYxCCGEJ5DCVwghPMDpxSkaGhqat50ev3v8+PHLuvbTTz/N5MmTMZvNLbar1WoMBgMajabVdGmn24yPj7+stoUQoiPJUAchhPAACQkJAKxcuZKQkBBiY2O54oorWLhwIZs3b+baa6+95GuPHDmSZcuWceutt3LjjTcSHR1NQ0MDGzduZOfOnc1z/J5mtVrJzMzE39+fHj16XPZrE0KIjiKFrxBCeIABAwYwdepUVqxYwRtvvMEtt9zC448/jtFoZNOmTTgcjjYXsTifSZMmERQUxKJFi1iwYAFVVVUEBQWRmJjIc889xx133NHi+J07d1JfX8/NN98si1cIITyKSjlz0kYhhBAe5YUXXmDRokW8+uqrXHfddR3S5mOPPcaaNWtYvny59PgKITyKjPEVQggPNnv2bIKCgnjzzTex2+1Ob2/v3r2sWbOGKVOmSNErhPA4UvgKIYQHCw0N5S9/+QtHjx7l3XffdWpbjY2NPP3000RHR/OnP/3JqW0JIYQzSOErhBAebsKECcyaNYt58+axadMmp7XzzDPPkJeXx1tvvUVQUJDT2hFCCGeRMb5CCCGEEKJTkB5fIYQQQgjRKUjhK4QQQgghOgUpfIUQQgghRKcgha8QQgghhOgUpPAVQgghhBCdghS+QgghhBCiU5DCVwghhBBCdApaVwfg7kpLa51yXbVaRWioHxUV9TgcMpWyJ5IcegfJo3eQPHoHyaN3cEUeIyICLug46fF1EbVahUqlQq1WuToUcYkkh95B8ugdJI/eQfLoHdw5j1L4CiGEEEKITkEKXyGEEEII0SlI4SuEEEIIIToFKXyFEEIIIUSn4HGF7+HDh5kwYQLdunXj6NGjF3ROZmYm06dPp1+/fgwYMICZM2dy+PBhJ0cqhBBCCCHciUcVvosXL+a2226jrq7ugs/ZuXMn9913H0ajkTfffJPXXnuNmpoapk+fTl5enhOjFUIIIYQQ7sRjCt/MzExeeuklnnvuOW6//fYLPu+1114jPDycN998k5EjRzJ69GjeeustbDYb//znP50YsRBCCCGEcCceU/gGBwezZMkSbr311gs+p6qqiu3bt3Pttdei1+ubt4eGhjJy5EjWrVvnjFCFEEIIIYQb8pjCt2vXrvTs2fOizsnOzkZRFLp27dpqX1paGlVVVRQWFrZXiEIIIYQQwo159ZLF5eXlAISEhLTad3pbeXk5MTExbV5DrXbOyiMajbrFd4BlG4+yelsuWo0ao48Wo48GXx8tRoOWYH8f4iP8iYvwIz7Cn0A/fVuXFh3kbDkUnkfy6B0kj95B8ugd3DmPXl34NjY2AqDT6VrtO72toaHhnNcIDfVDpXLeknuBgcbm/z50sooGix2wU2e2nvO8IH89iVGBZKSGMbJvLInRgU6LUZzbmTkUnkvy6B0kj95B8ugd3DGPXl34GgwGAKzW1kXk6W1G47mTUlFR77Qe38BAIzU1Zux2BwAP3tiLbQeLqTdbMTXaMDfamr432CirbqCs+pcivbrOwr66MvYdLeOjtVnERfgxpEcUQ3pEEhfh3+7xitbOlkPheSSP3kHy6B0kj97BFXkMCfG7oOO8uvANDw8HoLKystW+srIyACIiIs55DYdDweFQ2j+4n9ntDmy2ph+KQF891w5KaPNYc6ONgvJ6CkrryS+r52RRLdl5VSgK5JfWs7z0GMu/P0ZcuB/jBicwIiMajdr9PmbwNmfmUHguyaN3kDx6B8mjd3DHPHp14dutWzc0Gg1ZWVmt9mVlZREREUFkZKQLIrs0Rh8tqbFBpMYGNW+rqbewK7uU7YdLOJxb2VQEl9XzwarD/OfHk0wZ2YWhPaOc0msthBBCCOFJvLo7MCAggBEjRrB69eoWY3mLi4v54YcfmDhxogujax+Bfnqu6h/HE3f2Z+7DV3DX+G7Ehjd195dUmnnvq4P8+V/b2H64BIfivJ5rIYQQQgh35zGFb15eHvv27WPfvn2UlJQAkJOT07zNYrHwxRdf0LNnTzZv3tx83u9//3tqa2t56KGH2Lp1Kxs2bGDWrFkEBQXxm9/8xlUvxylOF8F/uW8IMyf3JCqkafxyYbmJf36xn798sJ3jhTUujlIIIYQQwjU8ZqjDG2+8wfLly1tse/TRR5v/+9tvv8XhcGC323E4fhlP0qNHD+bPn8+rr77K7Nmz0Wg0DB8+nLlz5zaPAfY2arWKYb2iGdwjkq37i/hyywnKqhvILanjhYU7mDAkkSlXdEGv07g6VI+gKAqmRhsqwEevkXHTQgghhIdSKYp8/n0upaW1TrmuVqsmJMSPysp6pw/8ttkdfLc7n8+/P0ajxQ5AVKgv907sTteEYKe27SmsNge5xbXk5FdTXGGiqs5Cdb2F6vpGquss2M94wFGrUeOjU2PQawnw0xMdYiQhyp+kqACSogPwM7SePk+4r468F4XzSB69g+TRO7gijxERARd0nBS+5+ENhe9p5dUNLFh9mP3HKwBQAWMGxnPLlSkY9B7T+d8uGiw2Dp2sJCe/mpy8ao4X1mJrpylXwoMMpMYFMaR7JBmpYWjdcAJv8Qv5Q+sdJI/eQfLoHaTw9WDeVPhC08f2W/YVseTbI5gabQBEBBuYeUOvFrNFeCOb3cH+YxX8eLCIn46UYTnLv7sKiAwxEuzvQ5C/nkA/PUF+eoL8fABotNpptNppsNix2uw02hRyTlWSX1bP2e4kP4OWIT2iGN4rmtS4QKcuhiIujfyh9Q6SR+8gefQOUvh6MG8rfE+rqmtk0Zosdh9pms9YrVIxZVQXrhuW5FVTnymKQvapKn48WMyOwyXUN9ha7PfRa0iNDSQtLoi0+CBSYoLwNVxY7/eZOaw3W8krqeNkcS0nimrZe7ScmnpLi+Mjgg2M7hvL2IEJ+OhlfLW7cPW9KNqH5NE7SB69gxS+HsxbC19oKgq37i/iw2+ym8f+dk0I5oHrexIWZHBJTO3FanOw7WAxa7fnklda32JfoK+OwT2iGNojii6xAZf8sNq5cmh3ODh0opIfDhSxM7sUi/WX/YF+em4YmczovrEyDMINuMO9KC6f5NE7SB69gxS+HsybC9/TSipNvPvlQY4VNE115uuj5e6J3Rnc3XMW9zitzmxlw+581u/Mo/qMHleDXsPArhEM7RVFj6SQdpmZ4UJz2GCxsTu7jI0/5ZOdV928PSLYwE2jUxjSIwq1DIFwGXe6F8Wlkzx6B8mjd5DC14N1hsIXmsa/rtxynP9sPcnpH4jhvaKZem26R8xSUF7dwKptJ9m8t7DF2N2YMF/GDU5gWK9ofNp5+raLzaGiKBw4XsFn3x0lt6SueXtCpD/Tru0qM2y4iLvdi+LSSB69g+TRO0jh68E6S+F7WlZuJe99dZCKmkYAgvz13DOhO33T3HPO47IqM//5sangPXPKsR5JIYwfkkDvlDCn9aZeag4disL2QyUs//4YJVVmoOmhuglDE7lxVAo6rQx/6Ejuei+KiyN59A6SR+8gha8H62yFL0B9g5Ul646wZX9R87aRGdHceU06vm7S+1tSaeKrH07yw/6i5oJXpYKhPaOYMCSRxKgLuwEux+Xm0GZ3sGlPAZ9vPNY8w0Z8hD8zJ/ckPtK/vcMVbXDne1FcOMmjd5A8egcpfD1YZyx8T/vpSBkLVh9uHisbEuDD3RO60yc1zGUx5ZXUsWrbSbYdLMHx84+uWqVieO8orh+eTFSob4fF0l45rKhp4IOvD3HgRGXTdTUqbh6dyrghCTL2twN4wr0ozk/y6B0kj95BCl8P1pkLX2h6WOzjddn8cKC4eVvvlFBuHp1CcnRgh8SgKApH8qr5+seT7D1a3rxdo1YxMiOaScOTiQw2dkgsZ2rPHDoUhfU781j63VGsP1+re2IwD0zuRUiAT3uEK9rgKfeiODfJo3eQPHoHKXw9WGcvfE/bfaSUBauzWsxNO6hbBDeOSiE23M8pbTocCnuOlrHqx1xy8n+ZDUGnVXNFnxgmDk0kPKjjC97TnJHDgrJ63vvqICeLmn7ugv31PHJLH7rEdMybjM7I0+5FcXaSR+8gefQOUvh6MCl8f2FqsLF2ey5rtp9qnvdXpYIRvaKZNDyJmLDLL4AVRSG3uI4fDhSx7VAx1XW/FNq+PlrGDIxn7MB4Av30l93W5XJWDm12B19sOs7XP55sakej5t5J3RneK7rd2hC/8MR7UbQmefQOkkfvIIWvB5PCt7Uak4WvfzjJ+l352Owtpw7rnx5Bv/RwUmIDL3h8qsOhUFRhYmd2KT8eKKKw3NRif0iAD+MGJzC6byxGnwtbVa0jODuH2w+X8K+vDjZPzzZxaCK3XJnqVSvruQNPvhfFLySP3kHy6B2k8PVgUvi2raKmgS+3nmDTnsLmB81OC/TV0Sc1nPBgA0YfLb4+Wow/f9ntDvJK68kvqyOvtJ7CsvoWc+9C0wNefdPCGdYzmr5pYW65wllH5PBkUS3zlu1tnl6uT2oYMyf3uuBllcX5ecO9KCSP3kLy6B2k8PVgUvieX2VtI3tyyth9pIxDJyuw2S/tR0oFdEsMZlivaAZ1i3CbqdPa0lE5rK638ObyfeT8vOpbTJgvv72tLxEueKDPG3nTvdiZSR69g+TRO0jh68Gk8L04DRYbB45XsPtIGVm5ldQ12JrHA59JpYLIEF/iI/yIj/AnLtyP1Lggj5rBoCNzaLU5+HBtFpv2FgIQ6Kfnt7f16bCZNbyZt96LnY3k0TtIHr2DOxe+8nmpaFcGvZaB3SIZ2C2yeZvDoWC22DA32JoXaogO9UXfzksIezOdVs09E7sTE+bHpxtyqKm38PfFu5h9Y2/6pLrnqnpCCCGEu3G/gZPC66jVKvwMOsKDjSRGBZAYFSBF7yVQqVRMGJrIrCm90GpUWKwOXv9sHxt/ynd1aEIIIYRHkMJXCA8zpEcUj9/RHz+DFoeisGB1Fsu+P4qMWhJCCCHOTQpfITxQ14Rg/jRjIOFBBgC+2nqS97462Lzqm2jJ4VCoMVkoLK+npt7SahYSIYQQnYOM8RXCQ8WE+fH0jIG89tleThbV8uOBYiqqG3j4lj74G917RgxnUBSF4kozWbmVZJ+qpqzaTJ3ZSq3JSr3ZypmlrkatItjfh5AAH0IDfYiPCiQlJoD0uCB0WukPEEIIbyWzOpyHzOog2uIuOWyw2Hh35UF+yikDIDLEyG9v60t0qK/LYuooZdVm9h4tJyu3iuxTVVSfsaT2pfDRaejVJZS+aWH0SQ0nyA1WCBQXxl3uR3F5JI/ewZ1ndZDC9zyk8BVtcaccOhwKn6zP4ZsdpwDwM2h5+OYMuiWGuDQuZ2i02NmZXcKWfUUcOll51mPCgwwkRPoT6KfH36gjwFdPgFGHr0GLqcFGZV0jlbWNVNU2UlXfSEGZCfPPM46cpgLSE4KZNCyRjJQwVBe4EqFwDXe6H8Wlkzx6B3cufGWogxBeQK1WcefYdKJCjSz+Jpv6BhuvLPmJeyZ2Z2RGjKvDu2yKonAkr5rN+wrZfrik1dzQUaG+dEsIpltiMN0SggkNNFzwtbVaNf4BRrbtzWdnVgl7csoorWpAAbJPNfUkJ0UHcMOIZPqlh0sBLIQQHkx6fM9DenxFW9w1h3uPlvPPFfubi8NrByVw29Wpbrns8/nY7A62HyphdWYup0rqWuyLDDEyMiOG4b2iCA+69FXs/juPiqJQWG5iV3Yp3+7MazF8Ij7Cn8kjkxnYLQK1FMBuxV3vR3FxJI/ewZ17fKXwPQ8pfEVb3DmHp0rq+L/P9lBR0whAl5gAZk3p7THLHJsbbXy/p4Bvdpxqfg0ABr2GIT0iGZkRQ1pcULv0vp4rjxarnU17C/n6x5NU1v4SR1J0AL+e1IP4SP/Lbl+0D3e+H8WFkzx6Byl8PZgUvqIt7p7DmnoL7315gAMnmsbBGn203DepBwO7Rbg4srZV11v4ZvspNuzObzHmNirEyPghiQzvHY1POy9+ciF5tNocbNlXyH9+OEl5TQPQNDPE5BHJTBqe5JG96d7G3e9HcWEkj95BCl8PJoWvaIsn5NChKHz9w0mWbzrG6Tt97MB4brs6za2m7SqrMrMqM5fNewtbzEWcGhfIhCFJ9E8PR612ztCCi8mjze7g2515LPv+WHOcCZH+3DepB0nRF/ZLVziHJ9yP4vwkj95BCl8PJoWvaIsn5TArt5J3Vh6gqq5pvGpilD/Tx3UjLS7IpXHll9Wz6seT/HiguMWiEv3Swpk4LJH0+GCnx3ApeSyuMPHB14fIzqsGmnp/Jw5L4oaRydL76yKedD+KtkkevYMUvh5MCl/RFk/LYY3JwvtfHmT/8YrmbUN7RnHrlamEBV34LAiXS1EUDp6s5Nsdec1zDwOoVSqG9oxk0rAk4iI6buzspebRoSis35nHZxuPYrE2nZcaG8jsmzIICfBxVriiDZ52P4qzkzx6Byl8PZgUvqItnphDh6Lw7c48Vmw6junnMbQ6rZrxQxKZNCwRg955MxyaG21s3V/E+l15FJabmrdrNWpG9YlhwtBElzx8d7l5LKkyM//rQxzOrQIg0E/P7Bt70zUhuH0DFefkifejaE3y6B2k8PVgUviKtnhyDmtNFlZsPs53uwuahxgE+euZMCSRIT2i2q3H0qEoHC+o4ccDxWzZX0jDGfPv+ht1jOobw7WDEgj2d10PaXvk0eFQ+GLzcb7aegJoGvpw+5g0rhkYL/P+dhBPvh/FLzpTHi12C1WN1VQ1VlPZUE11Yw0N9kYsDgsWuwWL3YrFbsGq2FCjRqNSo27+0qBTazFofTBoDRg1PvhofTBoDPjqjPjpfPHT+uGnM+Kj8enQ30OKomDFQmxEGFVVJil8PY0UvqIt3pDD/LJ6Pvn2SIvhDyqga0IwQ3tGMbBbBAG+F7dsb4PFxoHjlezJKWPv0TJqTNYW+5OiArhmYDxDekSib+cZGi5Fe+ZxV3Yp7391sLnAH94rmrsndHOL1+ntvOF+FN6ZR7PNTF5tIfl1heTVFZBfV0CZuQKTzdwh7WtVGnx1vvjqfPHT+uKn820ujn21TYWxj8YHg9YHH40eH40PGpWmea5ylUqFiqZnFyx2Cw32RhrtjTTYmr7XW01UNlZR1VBNZWMVlQ1VWBxW4gNjeGrIY6gcHfPcgxS+7UQKX9EWb8rh3qPlrNxynGMFNS22q1UquicFExPmR0iAT9OXf9N3tVpFRU0D5TUNlFc3UF7TSGmVmSN51djsLf89tBoVA7tFcs3AeFJjA92qF7S981hYXs8by/Y1D+dIjPLn0Vv6XNRqcuLiedP92Jl5Qx4rGirJqsghqzKHY9UnKG84+9Lq/02j0mDUGtBr9OjVuqbvGh1alRYFBYfiwK44cPz8ZXFYabQ10mBvpMHWgIJ7lXMGrQ8vX/k/qJWOeeMvhW87kcJXtMUbc1hSaSLzUAmZh4rJK62/rGv5G3X0TQ2jb1o4vbqEYvRxzxXSnZFHc6ONf/3nELuySwEICfDht7f1JUEWvHAab7wfOyNPzGOj3cKh8iwOV+aQVXGEEnNZm8eGG0KJD4glyjeSEEMQwT6/fPnr/C65U0BRFCwOK2abGZPVTL3VRL3NRL21vum/rSZMVhP1NnPT95+/zDYzFof1/A2cg0FjINgQRIhPECE+wYQYggjzDWFYSl80jT4y1MHTSOEr2uLtOcwvrWPboRIOn6yksraBqjoLdsfZf13otGpCAw2EBviQHBNA/7QIUmIDnTb3bntyVh4disJXW07wxebjQNOqc7Nv6k3vLmHt1ob4hbffj52Fp+TRardyoCKLXcV72Fd28KzFY6ghhK4hqSQFxBPnH0usfzRGrft98uNQHGcMYbDQaGvErthRaCqoFRSaSkUFvUaP4efxxE1DJPSoVa2HMrjzw23u2QUjhHC5uAh/bj5jWjGHolBrslJV20hlbSN2h4PQQANhgQYCfHVuNXzBHahVKm64ogvhwQY++PowDRY7/7d0L3eN78aovrGuDk8IcZEcioNDFUfYUbybvaUHaLA3ttjvp/Wla2ga3UPS6BaSTrgx1CN+L6pVagxaAwY3LMqdwaMK38OHD/Pqq6+yc+dObDYbGRkZPProowwZMqTNcxwOB8uWLWPJkiWcOHECq9VKamoqd955J7fddlsHRi+EZ1OrVAT56Qny08sqZRdhRO8YQvx9eGP5fsyNNj5YdZiy6gZuHNXFI/4oCtHZ1Vrq2FqQyZaCba3G6wbo/RkQ2YcBkX1JCUo6a++ncC8eU/jm5uYybdo0UlJSeOWVVzAYDCxYsID77ruPxYsX07dv37Oe98orr/Cvf/2LadOm8fvf/x673c6XX37JM888Q1VVFQ888EAHvxIhRGfTIzmUP00fwGtL91Be08iXW09QVt3AvZO6y0pvQrghRVHIqTrOpvwf+Kl0P3bll6kY/XS+9IvIYFBUX9KCU6TY9TAeM8b3qaeeYvXq1axfv57Q0FAALBYL48aNIzk5mfnz55/1vEGDBpGWlsaSJUuatymKwrXXXoufnx8rVqw4Z7syxle0RXLoHToyj1V1jfzf0r2cLG76vdIzOYSHbspw2wf/PIncj97B1Xm0O+zsLNnDutyN5NcVttiXHpzCqLhh9I3ojVYt9+y5yBjfy6QoCuvWrWPEiBHNRS+AXq9n3LhxLFq0iJqaGgIDA1udq9fr8fX1bbFNpVLh7++Ph9T8QggvEezvw5PT+vP2igPsPVrOwROV/L8Pd/G7X/WVZY6FcKEGWyNbCzNZn7uJysaq5u1GrYGh0QMZFTeMaL8o1wUo2o1H9M8XFBRQW1tLenp6q33p6ek4HA6ys7PPeu69997LDz/8wGeffYbZbMZkMvHxxx9z+PBh7r77bmeHLoQQLRj0Wh65JYNRfWIAyCut42+LdpBfWufiyITofGotdaw8uppntr7I50e+bC56I43h3NHtZv428hlu6zpFil4v4hE9vuXl5QCEhIS02nd62+lj/tsDDzyAr68v//M//8PTTz8NgNFo5KWXXmLKlCnnbVutVjllSibNz+P6NDK+z2NJDr2DK/KoRc39k3sSEWxk2ffHqKhp5P8t3sVvb+tL96TWv+fE+cn96B06Ko+VDdV8c+I7vs/7EesZU5F1CUpkfPLV9I3sJWN3L4M7348eUfhaLBagadjCf9PpdAA0NDSc9dyNGzfy0ksvMXHiRKZMmYLVauWLL77g2WefJSQkhNGjR5+z7dDQS59Q+kIEBhqddm3RMSSH3sEVebx3SgYJMYHMW7oHU4ON//1oN4/d0Z+rBsR3eCzeQu5H7+CsPJbWl7Pi0FrWH9+KzWFr3j4gpjdTeoyje3iazLbSjtzxfvSIwtfHp2nsm9XaeoLo00Wx0dj6H9disfD000/Tv39/Xn755ebtV199Nbfccgt/+ctfWLdu3Tnbrqiod1qPb2CgkZoaM3a7PIjhiSSH3sHVeRyYHs6c2/sy77N9NFrt/GPxTo6cKOfmq1JRyx/gC+bqPIr24aw8FteXsubEBn4o2IFDabquChUDovowKeUa4gOa5tauqjK1W5udmSvux5AQvws6ziMK34iICAAqKipa7SsrK2txzJlOnDhBaWkp99xzT6t9Q4YM4d///jfl5eWEhbW9kpLDoeBoY7Wq9mC3O+QJZA8nOfQOrsxjz6RQnpo2gNc/30tlbSMrt5zgVEkdD0zuiUHvEb+m3Ybcj96hvfKYX1fImhPr2VWyF4Wmv+VqlZpBUf0Yn3R189hd+ZlxDne8Hz3iN2p0dDQhISFkZWW12peVlYVOp6Nr166t9p0e/mCz2VrtO917fLrHWAghXCkpOoA/3z2IeZ/v43hhDbuPlPHiol08emsG4UHu93GhEO7sZM0pVp9Yz96yA83bNCoNQ6MHMC5pDBG+snR4Z+URhS/A+PHjWb58OaWlpc29uyaTibVr1zJ69Gj8/Fp3caelpWEwGNiyZQuzZs1qsS8zM5OIiAiio6M7JH4hhDifYH8fnpzan/mrD/PjgWLySuv464IdPHxzBunxwa4Or8M5FAWbzYHdoWB3KNjsDux2BUVRCA7wkcU/RAsOxcHB8izWn9pEVmVO83adWsuI2KFcm3glIYZg1wUo3ILHFL6zZ89m9erVzJo1i0ceeQSdTsd7772H2Wxmzpw5QFMxe8899/Dcc89x++234+vrywMPPMC8efN48sknue6661AUheXLl5OVlcVzzz0ng9iFEG5Fr9PwwPU9iQv34/ONx6g1Wfnfj3Zz21WpjB2c4JXjfhVFobymgfzSevLL6skvrSO/rJ6CMhO2NsYHqlUqIoINRIX6Eh3qS2y4Hz1Sw4kKlPmQO5tGu4VthTv5Lm8zxabS5u0+Gj2j40YwJnEUgXpZZl008ZjCNyoqio8++oiXX36ZOXPmoCgK/fr1Y+HChaSlpQFNvzztdjsOxy+/KB9++GGioqJYvHgxq1atQqVSkZ6ezty5c5k0aZKrXo4QQrRJpVJx3fBkYsP8ePfLgzRa7SxZn8PeY+X8+rqeXrHYRX2DlQPHK9h3rJz9xyqorr+4YWcORaG40kxxpZm9R3+ZzjLQT8+A9HAGdo+ke2IwGrV39grbHXYqGqooM5dT1lBOo92Cw+HArjhwKHYcigMHCn46XwJ0/vjr/QjQ+ROg98df74/OC1YeKzdXsLlgG5vzf8RkMzdvD9D7c2XcCEbHj8BP53uOK4jOyGOWLHYVWbJYtEVy6B3cPY8FZfW8u/IAuSVNC1z4GbTcM7EHA7u1fqDX3RWW17Mzq5S9x8o5ll+D4yx/fjRqFVGhvsSF+xEX7kegnx6NRoVWrUajUaFRq1EUhdJqM8UVJorKTRRVmKgxtZ71x9+oY0DXcIb3iqZrQrDHfsJnsVs5Wn2cwxVHyKstoNRcTmVjVfPsBBdLhYpQQwhRfhFE+UYQ5RtJtG8EMX7R+Osv7Ml4Zznf/Wi2NbC7ZB/binaQU3W8xb44/xjGJIxiYFQ/ryjsPZk7L1kshe95SOEr2iI59A6ekEerzcHyTcdYsy2X07+wR/eN4Y5r0t1+1ofK2ka2HSxm28FiTha3/n0a5Kend0ooPZNDSYj0JzrU95LG7jba7OSVm9mwPZfdR0oxN9pb7E+LD2LKyC70TA5x+wJYURTy6wo5VJHN4YojHK0+jtXR+iHtM2lUGtQqNRqVGvXPXwAmm/miCuRgnyASAmKJ949r/h5q6Lg3DWe7Hy12K9mVOWwv3s2e0v0t/i1UqOgd3p0xCaNID051+9x2FlL4ejApfEVbJIfewZPyeOhEBe//5xCVtY0AhAcZuHl0CkN6RrnV2N/6Bis7s0r58UARWblVnPlHRqWC1LggMlLC6JMSRkKUf7vEfmYezQ02Dp6oYEdWCbuzyzA1/lIopcYFcsPILvTuEup2RZLZZmZb4S425f9Akamk1X69WkdyUBKRvuFEGMMIN4YRbggl3BiKQWs46zUdigOzrYFaSx21ljrqrPVUNlRSbCpt/qqxnPvvnJ/Wl7iAWBL8Y4kPiCXeP5Yo3wg0ak27vO4zabVqgoKM7MnN5kBpFocrczhWfaLFYhMAUb4RDI0eyODo/oQaZLVDdyOFrweTwle0RXLoHTwtj3VmKwtXH2ZH1i8P8SRFBXDr1an0Sg51WVxWm4N9x8r54UARe3LKsNlb/mlJjQ1kWK9oBnWPJMiv9Sqcl6utPDZYbGzYnc/qbbnUnjEcoktMIL+6OpVuia4vmnJr89iU9yM7indjOWP5XBUqEgLi6B6aTo/QdLoEJTvlI3yT1UyxqZT8ugJO1RWQV1tAfl1hi6V8/5tWrSXCGEakbwSRxvCm777hhBqC8dP5oVfrzvvGQlEUqi01FNeXUmJuKsJLzWWcqDlFnaW+1fF+Ol8GRfVjaPRAEgPi3e6Ni/iFFL4eTApf0RbJoXfwxDwqisLOrFI+23iUkspfHurplRzCrVelkRTdMU+w2x0OcvKq2XawmO2HS6hvaNkrFxPmy7Be0QztGUVksHPnIj5fHhstdr77KZ9V23KpOeNBulF9Yrjt6jT8jTqnxnc2hyqy+c+xtRyvyW2xPTEgnlFxw+gT0Qt/nWvG3NoddopNpeT9XAg3FcT5LR4iOxetSoOvzhc/nS++WiMKYHNYsThs2OxWrA4bZpu5RaH/31SoSApMoHtIGt1D0+kSlIRWxu56BCl8PZgUvqItkkPv4Ml5tNkdfL+ngJWbj7d4uKtXcghDekQxsFsEvob2LegaLXYOnKhgd3Ype46WU2duWbgE+ekZ2jOK4b2iSYzyd+nY0LNptNrZ+FMBX2090Rx7oK+Oqdd2ZXD3yA6J91RtAV/k/IfDlUeat+nUOgZF9WNU3DCSAhOcHsOlUBSFysYqTtUWUFBXRKm5jJKfh0tcaEF8LoH6AKL8IkgJS6CLXzKpgSn46mTxFk8kha8Hk8JXtEVy6B28IY8NFhtrMk+xelsujdZfHurSalT07hLGkJ6R9E+LwEd/8WMyzY02cotrOVFUS1ZuFQdOVGD9r38nH52GAV0jGNE7mh5JIajVHf8R9MXmscZk4ZNvc/jhQFHztj6pYUwf19VpK+WVmyv56vgathftbl4+N0Dvz7WJVzE8ZhC+Hjz1Vp21nhJTGTWNNdRbTdTbTJisZuqtJkw2EyqVGp1ai06tRavWoVfr0Gt0hBvDiPp5mIRRa/SK+1FI4evRpPAVbZEcegdvymN1vYXvduez7WAxRRWmFvs0ahXhwUaiQoxEhfgSFdr03eCjodFip9Fqp9Fip8Fqx9xg41RpHScKaymuMHG2PxIBvjr6poXTPz2cnsmh+Oja/0Gni3Gpedx/vJyFq7Moq25a4t5Hp+HOsemM6hPTbr2/FruVVSfWsf7UpuaHtPQaPWMTRnNN4pUYtJ4/L3N78ab7sTOTwteDSeEr2iI59A7emEdFUcgtriPzUDGZh4opr2m87GuqgNhwPzJSwuiXHk5aXJBLenbbcjl5bLTaWbH5OGszTzXPLTykRyR3je+Or+HyxpQeqz7BokOfUmIqA0CtUjMiZjCTulxLkE/gZV3bG3nj/dgZuXPhK6PEhRDCy6hUKpKiA0iKDuCWq1I5ll9D1qlKiivNlFSYKK4yU13X9kppKhVEh/qSFB1AcnQgydEBJEb5u/2cwZfKR6fhV1enMaRHJO+sOEBxpZnMQyUcL6xh1pTedIm5+ALVYrfy1bE1rD+1qXlYQ4/QrtyaPplov6j2fglCiAskPb7nIT2+oi2SQ+/QWfPYYLFRUmnGanPgo9dg0Gnw0Wvw0WnQadUeN1VUe+XR3Ghj8TfZbN3fNPZXo1Zxy5WpjBuScMHzDf93L69Ra+CWtMkMixnkcf+uHa2z3o/eRnp8hRBCuBWDXktiVMdMe+ZJjD5a7r++Jz2SQvhwbTaNVjufbsjh4MkKZk7udc5pz+wOO18dX8s3J79r7uXtGdaNqd1uIcQQ3EGvQAhxLlL4CiGEEP9lZEYMqXFBvL1iP7nFdew/VsHzH2znoZt7kxzdeuhDVWM1/96/mKPVJwDp5RXCXV38guhCCCFEJxAd6svTMwYxZkAcAOU1Dby4aBff7ylocdzB8iz+X+ZrzUVvenAKTw+Zw/DYwVL0CuFmpMdXCCGEaINOq2b6uG6kxgaxYPVhLDYH81cd5lhBNXeOTWPtqfWsObG+eWjDhKQxTOpyLRq1a6d3E0KcnRS+QgghxHkM7x1NfKQ/by7bR0mVme8PnuAn5SushlIA/HS+3N3zTnqFdXNxpEKIc5GhDkIIIcQFSIj059l7BtGtGxh6bW0ueqN94vjj4N9K0SuEB5DCVwghhLhAP1X8REHwN6j0TYuCWAuTObG5F5t2VDYvfiGEcF9S+AohhBDnYXPY+CRrOYsPL8Wm2NGrdVwbcQOGsgwURc0Xm4/zf0v3Ume2ujpUIcQ5SOErhBBCnEONpZbXd7/L9/k/ABBmCOX3Ax/ixowreO6ewc0ru+07Vs7zH2znRFGNK8MVQpyDFL5CCCFEG45X5/LS9tebpyrrHpLOHwY/QnxALABhQQaemjaAq/u3nPLs2515yMKoQrgfmdVBCCGEOIvN+T+yNHsFNsUOwNjEK7khZUKrqcp0WjUzxncjNS6QhauzsNgcLP4mm/3Hyrn3uh4E+updEb4Q4iykx1cIIYQ4g9VuZfGhpXyctaxpPK9Gz329pnJT2nXnnJ93RO8YnrlrEHHhfgDsOVrOc//KZP/x8o4KXQhxHtLjK4QQnYzFbqHEVEaxqQSL3YqP1gcfjQ8GjQ+Gn/87xCeoUy7CUNFQyXv7FpFbmwdApDGcBzLuItY/+oLOj4/05893D2LphqN8uyuP6noLr36yh3GDE7jlylR0WulvEsKVpPAVQggvZnfYOViRRVZlDsX1pRSbSqhoqGpeaawteo2epIB4ugQlkRKURHJgIgF6/w6K2jUOVxzhgwMfUWetByAjvCd397wdo9Z4UdfR6zRMG9eV3imh/PvrQ9SarKzdfoqDJyq5Z2J3UmIDnRG+EOICqBQZfX9OpaW1TrmuVqsmJMSPysp6bDaHU9oQziU59A7emscSUyk/FO5gW+EOqi3t83ss0hhO34jeDIzqR7x/DCqVql2u2x4uJ482h42vjq1lXe5GFBRUqLiuyzjGJ1+NWnV5PbTVdY386+tD7D9WAYAKuLJ/HLdcmYKfQXdZ1/ZG3no/djauyGNERMAFHSeF73lI4SvaIjn0Dt6UR5vDxs7iPWwpyORo9fEW+3y1RuL8Y4jyiyTat+kryi8Co9ZAg62RRruFRnsjDbZG6m0mTtXmc7z6JCdrTmFxtJ6bNso3kkFRfRkU1Y9I34iOeoltutQ8FptKmX/gI3Jr8wHw0/pyV8/b6R3eo91icygKG3bls+z7o5gbmx6UC/DV8aur0xjRO9qt3kC4mjfdj52ZFL4eTApf0RbJoXfwljweqTzGkqxlFJlKmrepVWp6hXVjeMwQeod1v6Qxu3aHnYL6Io5Xn+RgRRYHy7Ox/zzLwWlJAQlcETeMQVF90WtcM4PBxeZRURS2FmbyWfbK5sK+W0gad/W8nWCfIKfEWFXXyCfrc9h2sLh5W9eEYKZd25WESO8YRmK1Oag1WagzW6k1WZv/W61WodOq0Ws16HVN3w0+GmJCffE9o+fbW+7Hzk4KXw8mha9oi+TQO3h6Huus9XyR8zU/FG5v3hZpDGd47GCGRg8kyKd9x5PWW03sKd3PjuKfyK482mKssFFrZHjMIK6IG0ZUB/cCX0weay11LMlaxk+l+wHQqDRMThnPNYmjL3tow4U4eKKCRWuzKa4wNW/rlxbOdcOTSI1zTtHd3kwNNgrK6skrqyO/tJ780jryy+qpNV38ynUhAT7ERfgRH+5PQpQ/fbtHEaBXY7dLeeKppPD1YFL4irZIDr2Dp+ZRURQyi3axLOer5oex/LS+3Jg2iWExgzqkgKturGVXyR42F2yjqL64xb7uIemMih9ORliPDpkd4kLyaHfY2Zi3ha9PrMNsawAg0jece3tNJTEg3ukxnslqc7A6M5f/bD2B5Yx4uycGc93wZHomh7jNEAi7w0FeST1HC6o5ml/N0fwaSqrMTm0zIthI//Rw+qeHkxYfhEYts2F4Eil8PZgUvqItkkPv4Il5rLHU8sGBj8muzGneNjR6IDelXeeSmRcURSGn6hjf5//AT6X7cSi//DsG+wRxRewwRsQOIcjnwv4wXYrz5fFAeRafH/mS4jOGgoyMHcot6ZPxcdHwDIDqegvrdpxi/a685vG/AMnRAYzqE0P/rhEE+/t0aEy1JgtH82vIya8mJ7+aE0U1WKxt3xvB/nriwv2Ii/AnIthIgK+OAF9983d/oxZFAYvVgdVmx2JzYLHaqTNbKSg3kV9aR97Pvcb1DbZW1/c36uibGsbQXlH0Sg51mzcEom1S+HowKXxFWySH3sHT8lhQV8Q/935ARUMl0NRjeUfXm+kWmubiyJpUN9awtSCTzQXbqGqsbt6uVqnpH5HBqLhhpAWntHvx0lYei02lLDvyJfvLDzdvSwpM4Lb0G+gSlNSuMVwOU4ONDbvzWLv9VIvhAiogNS6IAV0jGNgtgojgi5ta7XwaLXbySuvILanjWH41OQU1LYZg/LeoECMpsUGkxAaSEOlPbLgf/sb2mZ1CURTqGmycKKnj+1157DtW3qrgjg33Y+ygeIb3isZH1/nmmfYUUvh6MCl8RVskh97Bk/J4oDyLf+//kAZ7I9C0hO71KePRqd1vSna7w86+8kNsyvuBw5VHWuwLM4QwILJvu06LdmYeGy1W9pcfYktBJgfLs5rHIQfqA5iSOpEh0QM6ZCjIpWi02tm0p4CNewrIL61vtT8mzLep4AzzIybcj9gwX6JCfdFq2n49jVY71XWNVNVZqKprpKTSTG5JHadK6iipMLU5o7OPTkOXmADS4oNIiQ0iNTaQACcvv3xmHk1mKwdPVLLrSCk/HSmjzvzLGwI/g5ar+scxZkA8IQEd2yMuzk8KXw8mha9oi+TQO3hKHr/P28qn2StQUNCoNNzZ/RaGxwxydVgXpLi+hE0FP/Jj4Y7msbWnRflGMDCyL/0iM4jxi7rkglSrVWPRmfj64Ea25me2mLtYq9IwJnE045OuxqA1XNZr6UjFFSZ2ZZeyM7uUYwU1bR6nVqnwNWhRq1VoTn/9XAjX1lswNbYePnA2YYEG0uODSI0LIi0uiPhIvw4fW9vW/Wi12fnxYDHfbM8jr7SuebtGreKKPjHcMLKLFMBuRApfDyaFr2iL5NA7uHseHYqDZUe+YkPeZqBpPt4HMu6ia0iqiyO7eI12C3tK97OrZM9Zp0UzaHxIDIgnKTCB5MAEkgITCPYJOmuPcL3VRH5dAXm1BeTVFVJQX8ip2oIWxwTpAxgeM5gRsUMJM4Y49bU5W0VNA7uPlHE0v5qC8noKy01YL/HnVaNWERfuR0Kkf9NXVAAJkf7tNmThcpzvflQUhcO5VXyz/RR7csqae6v1WjXjhiQwYUgSvgb3+wSks5HC14NJ4SvaIjn0Du6cR5vDxr/2L2Zv2QEAIoxhPNj3vg6fKswZTk+LtrN4D1mVOedcQlmr0qBRa9CqtWhVWhQUatpYjU6Fil5h3RkZO4Relzh3sSdwOBTKahooKKunsLwec6Mdu8OB3a7gcCjYHQqKouDvqyfEX0+wvw/BAT4E+/sQ6Kdz21kSLuZ+LK408dWWE2zdX9T80+Nv1HH9iGSu7h+HTuuer7EzkMLXg0nhK9oiOfQO7ppHu8POBwc+YnfpPgDSgrvwQMZd+Ov8XBxZ+6ux1HK06gQna041fdWeotFuuaBzVaiIMIYRHxhLj6hUMoJ7EaBt37mLRce5lPsxr6SOzzYeZe/R8uZt4UEG7hybTv90z3+T6Imk8PVgUviKtkgOvYM75tGhOPjw0FK2Fe0EoFdYdx7IuMstH2JzBofioNhUSm5NHvU2E3aHHZvD1vSl2HEoDiJ9w4nzjyXWLxqD1sct8ygu3uXk8fDJSpZ+d5Tjhb+Mh+6XFs7UsemEt/NsGOLc3Lnw9ajfoocPH+bVV19l586d2Gw2MjIyePTRRxkyZMg5zzOZTLz++ut8/fXXVFVVkZCQwF133cXtt9/eQZELIcSFURSFpdkrm4versGp3N97RqcpeqFp6rMYvyhi/KJcHYrwIN2TQnjmroFsP1zCJ+tzqKxt5KecMg6eqGDyyGTGD0k85+wXonPwmJ+A3Nxcpk2bRmVlJa+88gpvv/02/v7+3HfffezZs6fN8xwOB7NmzWLp0qU8+OCDvP/++/Tp04dnn32W5cuXd+ArEEKIc1MUhRVHV/F9/lYAugQm8ps+d6PXuP6hIyE8gUqlYkiPKF64fygThiSiVqmw2Bx8vvEYz/07k0MnK10donAxj+lCeOutt7Db7bzzzjuEhoYCMHDgQMaNG8fcuXOZP3/+Wc/7+uuv2bZtG6+99hoTJ04EYMiQIRQUFLB7925uuummjnoJQghxTmtOrueb3O8AiPePZXbf+zxq+i0h3IXRR8uvxqQxonc0i9ZmcSSvmsJyEy9/vJsrMmL41Zg0t5jFQnQ8jyh8FUVh3bp1jBgxornoBdDr9YwbN45FixZRU1NDYGDrBxq++OILoqOjmTBhQovtCxYscHrcQghxoTbmbeXLY2sAiPKN5OF+9+Or83VxVEJ4tvhIf56aNoCt+4v4ZH0OdWYrm/cVsvdoGVOv7crg7pGyBHIn4xFDHQoKCqitrSU9Pb3VvvT0dBwOB9nZ2Wc9d8+ePQwYMEB+sC/BrbdO5tVXX2Lx4gXceONErrlmJH/4w2+pra1l6dIl3HLL9YwbdyV//OPvqa2t5aOPFnL11cM5ceJ48zVyc08yZswI5s9/34WvRAj3dqA8i6XZKwAIM4TyaP8HCND7uzgqIbyDSqViZEYMf3tgKCN6RwNQY7Ly9ooD/N9neymvbjjPFYQ38Yge3/LypilKQkJaT0B+etvpY85UU1NDTU0N0dHRLF68mIULF5Kfn09kZCTTp0/n7rvvRqM59xyParUKtfrii2ZTg43C8tbLTZ553ZKaRurrG3E4nDexRkyY32VN5r1t2w8MHz6CN998h5ycIzzzzFM8+eTviI+P5//+702OHTvG00//gc8/X8J99z3Ali3f88orL/LPf76PSqXi1Vf/Tnp6V+6999fNKwl5i9Ovx9teV2fj6jwW1hXz7wOLUVDw1Rp5bOADhPt59mILruDqPIr24cw8hgQamHVjb0ZmxPDB14coq25g79Fy/vyvbdx6VSpjByVc0t970Zo7348eUfhaLE3zOer1rdcI1+maxug0NLR+x2YymQBYs2YNCQkJ/OlPf0Kv1/PVV1/x0ksvUVZWxh/+8Idzth0a6nfRvcX1ZisP/mMj9WesK+4qfkYd/3r6WvwuYSyTRqPG4bDzl7/8DxqNhn79erFgwb84diyHhQvnYzQa6d+/N/Pnv8fx4zmEhQXwyisvM2XKFL79dhU6nY79+/exfPlywsO9d17NwECZJscbuCKPtY11/HPrfBpsDWhUah6/Yibdo5I7PA5vIvejd3BmHkcP8mNIRiyL1xxm5fdHabDY+XBtNtsOlfDwbf1IiQtyWtudjTvejx5R+Pr4NK2/bbW2LiRPF8VGY+t/3NO9uVarlXfeeQeDoekhkeHDh1NSUsKCBQu4//77W4wb/m8VFfUX/Q7Q1GDDXaZHVhSFqioTloaLT7Xd7iA1NY2aml/eVPj5+ZOQkEhDg4OGhvrmbZWV1VRW1hMQEMZDDz3G//7vy2g0ah588BFCQqKorGy799tTaTRqAgON1NSYsdtl3lBP5ao82hw2/m/nexTXlQJwR/ebiNMneOW90hHkfvQOHZnHm0d1oV9qGB98fYiTRbUcOVXF7+ZuZPzQRG4enYKP3jtX/esIrrgfQ0IubHEfjyh8IyKaVl6pqKhota+srKzFMWcKDg5Go9HQq1ev5qL3tJEjR/L9999z5MgRhg4d2mbbDody0UMR9Fo1/ztrBIUVbf8B02rUBAQYqK1twObEH4qYUD/0WvUlTyBtMBhanKso4OPTepuiOJq3jRs3iTfffJ3GRhvjxk3y+snk7XaH17/GzqAj86goCh9nLSO78igAV8aPZETMUPk5agdyP3qHjspjYqQ/z9w1kHU78li+6RgWq4NVP54k82AxM8Z3pU9quNNj8GbueD86tfC1Wq1otdrLfrAsOjqakJAQsrKyWu3LyspCp9PRtWvXVvt0Oh1paWlnLZjtdnvzMc7ga9CSGtv2xyXevMrQ22/PIzQ0FK1Wy7x5r/KnPz3n6pCEcCvf5W1hS0EmAD1Cu3JL2vUujkiIzkujVjN+SCIDu0Xw4dps9h4tp7ymgdeW7qVfWji3X5NGVIjMsOIt2n3UcUlJCc8++yyjR4+mb9++7Nixo3nfG2+8QV5e3iVdd/z48WzdupXS0tLmbSaTibVr1zJ69Gj8/M7exT1p0iT27dvHkSNHWmzfuHEjRqOR7t27X1I84ux27drB8uWf8Yc/PM0f/vA0q1Z9xebNG10dlhBu41BFNp8f+RKAKN8I7us1DY1aPlIVwtXCg4w8dmsfZt/YmyD/pmeKfsop45n3trF0Qw7mRpuLIxTtoV0L35KSEm677TY+/fRT6urqWoxzraio4M0332TatGkUFRVd9LVnz56N0Whk1qxZfPfdd2zZsoXZs2djNpuZM2cOAJmZmfTs2ZNPPvmk+bzp06eTmJjI/fffz6pVq/jhhx/44x//yLZt27j//vvx9ZV3ce3FZKrnxRef57rrpjBgwCD69OnHlCm38L//+yJVVVWuDk8Ilys3V/DB/o+aZ3CY1ecefHXu9/CHEJ2VSqViUPdIXnxgGBOGJqJRq7A7FFZty+WP7/7Ipr0FONzkGR5xadq18H377bepqqri1Vdf5dtvv21R+IaGhvLvf/+bmpoa/vnPf170taOiovjoo4+IiIhgzpw5PPzww6hUKhYuXEhaWhrQNG7ObrfjcPwydMDf358PP/yQYcOG8fzzz/PAAw+wf/9+XnjhBR5++OHLf9Gi2bx5r2G1Wnnooceatz344MNoNBpeeeVFF0YmhOtZ7Fbe27+IepsJFSru6zWNSN/WzyYIIVzP6KPlV1en8cL9Q+mX1jTOt6bewgdfH+Yv87fz05Eyt3mIXVwcldKOmRs7dixXXXUVzzzzDLW1tQwePJhFixYxePDg5mNefPFF1q1bx/r169urWacqLa11ynW9eYxvZyE59A4dkUdFUfjw0FJ+LGoa+jU5ZQITksc4pa3OSu5H7+Cuedx/rJyPvz1CYbmpeVtSVAA3XJFMv7RwWSTrv7gijxERARd0XLv2+BYXF9O7d+9zHtOrVy9KSkras1khhHBrmwt+bC56+4T3YlzSVa4NSAhxUXqnhPH8fUOYdm1XQgKaplg9WVzLvM/38fz87ezOLpUeYA/RrrM6+Pj40NjYeM5jKisrzzrnrhBCeKNj1SdZmr0SgEjfcO7q+SvUKvdbzUgIcW5ajZprBsYzum8Mm/YW8p8fTlJZ20hucR3zlu0jKtSX0X1jGNk7hkC/1gtuCffQroVvjx49+M9//sPtt99+1v0VFRV8+OGH9OjRoz2bFUI4UXVjDYX1xRSZSiiuL/35ezF2xUGMXxSx/jHE+UUT6x9DjF8UBq2Pq0N2GzWWWt7ftwi7Ykev0TMz426MWnnjL4Qn02k1jBkQz6g+sWzeW8B/fjxJRU0jxRUmlm44yrKNx+ifHs7ofrH0TA5FLcMg3Eq7Fr7Tpk3jt7/9LY8++ig33HADACdOnMBsNrNjxw4+++wzKisreeKJJ9qzWSGEExyrPsHKo6s5UnWszWOOVB1rtT81qAtjE0fTO7xHp+7ZtDvs/Hv/YqotNQDM6PErYvyiXByVEKK96LRqrh4QzxV9Ysk8VMz3ewo4kleN3aGwI6uUHVmlhAUa6JceTkZKKN0SQ/DRuefUhXaHg/oGG/VmK/UNNqw2Bw5FQVEUHI6m5xQUwNdHi79Rh7+vDj+DFo3a837Ht+vDbQDz5s3jrbfeApr+oU4P+D793w899JBHzaYgD7eJtnhrDvPrCvny2Gr2lR1qtS/EJ5go3wii/SLRqDQU1BdRUFdItaX1fRLtG8nYxCsZFN0fndp9F4l0Vh4/zV7BxrwtAIxNvJKb0q5rt2uL1rz1fuxsPD2PBWX1fL+ngK37i6gzW1vs02rUdEsIondKGN0TQ4gJ80Xv5ELY4VCorrdQUdtAZU0jlbWNTf9d20hFbSM1dRbqzFZMlzhHsZ9BS6CfnrhwP+Ii/ImPaPoeG+5HWJi/Wz7c1u6FL8DRo0f58ssvycnJob6+Hn9/f7p27cqkSZNITU1t7+acSgpf0RZvy2GZuZyvjq1lR/FPNL23B6PWyNjE0fQM7Uakb0SbwxjqLPUU1BdyrPok3+f90NzLCRCkD+TqhCsYHT8CH437jXtzRh5/KNjOh4eXAtAtJI2H+v5aFqlwMm+7Hzsrb8mj1eZgV3YpO7JKOHiiAnOjvdUxKhVEBBuJC/cj9uevYH8ffH20+Bqavow+2uahEoqiYHco2O0KNocDc6ONWpOVWpOFWpOVGpOF2norlXWNVNQ0UFHTSFVdI3ZHxz90p9OqGdUvjrvHd8Vu75j2XVr4ehMpfEVbvCmHWwsyWZK1HLvy81Leah1XJ1zBtYlX4qu7uEVebA4b24t/Yl3uRorqi5u3hxlCmdHjNtJD3OvNb3vn8URNLnN3/hObYifMEMIfBj+Kv+7sK0uK9uNN92Nn5o15tNkdHCuoYd+xcvYfq+Bk8YXXFSpAr9P8XPA6uNyCTQUE+ukJDfQhJMBAkL8ef4OuafiCUYefUYufUYePVoNK1bSgh1qtQqUCFDA12qgzW6kzWak1W6kzW6moaSC/tJ6C8nqsZ+RMrVbx1pwr0Ws7ZjiEFL7tRApf0RZvyKGiKKw5uYEvj60GQK1Sc0XsUCYkX0OQT+BlXduhODhQfphvTn7H0eoTzduvih/JDakT3ab3tz3zWN1Yy//ueJ2qxmr0ah2/H/gQ8QGx7RSpOBdvuB9F58hjTb2Fk8W1FJTVk19WT8HPXw2W1r3CF0OjVuFv1BHs70NooA+hgYam7wEGQgKatgX7+6DVOKcQdTgUSqrM5JfWUVxppkdqOOkxAW431KHdZ3W4ECqVioMHD7Zn00KIi+RQHHx25MvmcajBPkE81PfXxPpHt8v11So1GeE96R3Wg53FP/Fp9grqbSa+y9vC/vLDzOjxK9KCu7RLW+7A5rDx/v5FVDVWAzC9x6+k6BVCtBLopycjJYyMlLDmbYqiUHV6vG1D05hbU4MNU6ONBosdrVqFRqNGq1Gh1ajRqFUY9BoCfPUE+OoI8NXja9C6dAYJtVpFdKgv0aG+Ld7AuJt2LXwDAwPPunpJY2MjZrMZgK5du6LT6dqzWSHERbI6bCw6+Ak7S/YAEO0XxcN9f02IIbjd21KpVAyK7k96SBpLspaxt+wAZeZyXtv1NlcljGRKykR0Gs//nbD0yEqO/dyzPS7pagZG9XVtQEIIj6FSqQgJ8GleHEM4T7sWvtu2bWtzX3FxMf/+97/ZtWsXH3zwQXs2K4S4CA22Bt7bt4jDlUcASAlKYlafe/G7yLG8FyvIJ4CZGXexvXg3S7NXYLKZ2XBqM8eqTvJAxgynFN0dZVP+j2zO/xGAnqHdmJwy3sURCSGEOJsOm4AtKiqKP/7xj8THx/Pyyy93VLNCiDM02Bp5ffd7zUVv77DuPNLvAacXvaepVCqGRA/g6aFz6BnWDYCTtaf4+/b/I6sip0NiaG/7yg7ySdZyACKMYdzb685OPX+xEEK4sw7/7XzFFVewYcOGjm5WiE5PURQWH17KydpTAAyNHsjMjLvRu+Ahs2CfIB7scy/XdxmHChV11nrm/fQe35z8zqPWuz9WfYJ/7f8QBQU/rS+z+txz0bNgCCGE6DgdXvg2NDRQUVHR0c0K0emtP7WJXSV7ARgU1Y8ZPX7l0rll1So1E7uM5cG+92LUGlFQ+OLo17y//0MabA0ui+tCFdYX8889H2B12NCpdczqey/RsjKbEEK4tQ5bTslsNnPw4EE++OADIiMjO6pZl1EsJhxVhW0foFHTYDJgq23AbnfeVB/q4BhU+kvrgbr11smMGHEFUVHRLF26hNraGgYOHMyf//xXVq/+D0uWfEhtbS0DBw7iD394hnvuuYMhQ4bz9NP/0+I6L7/8Ilu2bOLzz79Co5FJ/F0hu/IoXxz9GoBYv2imdr/1rA+iukKvsO48NfhR3t23kPy6Qn4q3UdhfTEzM+4i2s89f1dUNlTxxk/vY7KZUavU/Lr3NFKCklwdlhBCiPPo8OnMFEXhqaeeas9m3Y5iMVH30eNgMZ3zOOfMEPxf9L74T33lkovfH3/cyrBhI3j99X+Sk5PDc8/9kT/84bfExcXz6qtvcPz4Uf7856dIT1/KpEk38NlnS/jd7/6Ar29TezabjY0b1zN58k1S9LpIZUMV/96/GIfiwKg18EDGXW4zh+5p4cYwHh/4EB8dXsb24l0Um0p4ecc87up5O30jers6vBZMVhNv7vlX87Rld3a7mYzwni6OSgghxIVo18I3JiamzX06nY7IyEgmTJjA1KlT27NZ4UQ2m43HHnscjUZDYmIy8+e/x7FjOcyd+yYGg4GkpGS6dEnhyJEsHnvscRYvXsCGDeu47robANixI5Pq6mquv36Ki19J52R12Hh//4fUWusAuLvnHUT6hrs4qrPTa/Tc3fN2koMS+PzIlzTYG3l330LGJ43h+pRxbvHAmMVu4e298yn8eUW6ySnjGRE7xMVRCSGEuFDtWviuX7++PS/nsVQ/97Kea6iDRqMmIMBArRsPdQBIS+vaoqc2MDAIvd4Hg8HQYltdXR3R0TEMHTqcVau+ai58v/12LQMGDCIuLv7SX4S4ZJ8dWcmJmlwAJiZf4/Y9kyqViqviRxLvH8u/9n9IjaWWNSfXk1ubx729pnbY7BNnU2up45298zn+87/n6LgRjE8a47J4hBBCXLwOG+Pb2aj0vmgiU9vcr9WqMYT4Ya6sBzdeltFoNLTadmbRe9rpJ/GnTLmFP/7x9+Tn5xEREcmmTd/x+99799AWd/Vj4Y4Wc8tO6nKtiyO6cGnBXXhy8KO8v+9Djtec5FBFNi9tf537M6aTGNDxb6JKTKW8uefflJnLgaaHA2/reoPbjJMWQghxYS6r8P3iiy8u+dwbb7zxcpoWbmr48JFERETyzTerSU1NQ6PRcOWV0ivW0Sobqvg0+wsAwgyh3OOBc8sG+wTx2wG/4bMjX7Ip/wfKGyp4eccbTEoey7ikqztsRopj1Sd4e+986q1NY/avSRzNjamTPO7fUwghxGUWvk899dRF93goioJKpZLC10tpNBomT76RdevWcuzYUcaNm4Re714PUnk7RVH4JPsLGu0WVKj4de9pLh0icDm0ai13dLuJpMAEPs1ajsVh5avja9lbdpC7et5OjJOnD9tdso/5Bz/G5rChQsVtXadwZfwIp7YphBDCeS6r8H3ooYfkoz7RyuTJNzJ//vucOnWSDz5Y7OpwOp09pfvZV3YQgKsSRpIUmODiiC7f8JhBpAYl8+GhTzlafYLc2jz+vv3/mJwynjEJo9q999WhOPg293tWHF2FgoJOreO+XlPpE9GrXdsRQgjRsS6r8H3kkUcu+hyTyYTZbL6cZoWbCw+PoE+fflitVlJS0lwdTqditpn5NHsFACE+wVzfZbyLI2o/kb7h/HbALNaf2sSXx9Zgc9hYnvMf9pQeYErqRFKDktvljfjB8iyW5/yHgvoiAAJ0/jzY916veAMhhBCdnUrp4PVBV65cyT/+8Q82btzYkc1estJS58y2q9WqCQnxo7KyHpsbP9x2KUpLS7j99pv485+f5+qrx7o6HKdxxxx+kvUF3+dvBWBWn3vcfhaHS1VYX8zCg5+QW5vXvK1LYCJjk66iT3jPi+oBPp3H/bk5LM36kkMV2c374vxjmJlxN+HG0HaNX7Q/d7wfxcWTPHoHV+QxIiLggo5r91kdGhoa+Oabb8jPz8dms7XY19jYyNq1a6mpqWnvZoUbqKmpobCwgFdeeZHu3XvIQ20d7Hj1STbl/wBA/4gMry16AWL8onh84EOsy93IN7kbMdvMHK/J5b19C4k0hjMmcTRDowei1+jOeR2rw0Z+TQmfHMlkw/EfUGjqBwjUB3B9yjiGxwyWh9iEEMKLtGvhW1xczLRp08jPz29+iA1o9d/yYJt3+uc/X2ft2lUMGjSEJ598BrVaCoaOYnfY+ejw5ygoGDQGbu16g6tDcjqNWsP45DFcGT+CrQWZrD+1mcrGKkrMZSzJWsan2V8QbgwlyjeCSN8IonwjCDOEUm6uILc2j9zaPPLrirAr9uZr6tQ6xiaOZmziVRi0Pi58dUIIIZyhXYc6/PGPf2TFihXcdNNNJCUl8eqrrzJjxgzCwsLYunUrWVlZvPTSS1x11VXt1aTTyVAH0RZ3yuHaExtYcWwVAHd0u4lRccNdGo8r2B12dpbsYV3uRvLr2l485mxUqBgWO5DrkscRYgh2ToDCqdzpfhSXTvLoHTrNUIetW7cydepUnnnmGWpra3n11VcZN24cgwcPZtasWXz++ef85S9/oWfPnkRGRrZn00J0WqWmcr4+8Q0AKUFJjIwd6uKIXEOj1jAkegCDo/qTU3WMEzWnKDaVUmwqpcRUSp21vvnYYJ8gkgLiSQiIp0twPH0Tu2E3q+UPrRBCeLl2LXzLy8vp06cPQPPQBrv9l48Rb7nlFjIzM5k7dy7/7//9v/ZsWohOa1nOV1gdNtQqNXd2u6XTj0lVqVSkh6SSHtJy5cR6q4lycwXBhiAC9b/0DGi1agINflSa6//7UkIIIbxMu/6F1Ol0zQ+0+fr6olarqaioaHHM8OHD2bJlS3s2K0SnlVN1nL1lBwC4OuEKYv2jXRyR+/LT+ZIYGN+i6BVCCNG5tGvh26VLF9asWdN0YbWa0NBQ1q9f3+KYsrIyamudM25WiM7EoThYduQrAPy0vkxIusbFEQkhhBDurV2HOkycOJF//OMf/OY3v+Gdd95h5MiRrFy5El9fX0aNGkVeXh7vvvsuKSkp7dmsEJ3SrpK9nKw9BcDELmPx1RldHJEQQgjh3tq18L333nvJycnBZDIB8Oijj7JlyxY+/fRTli5diqIoaLVaHn300fZsVohOx+qwsfJo0ywO4cYwRsUNc3FEQgghhPtr18L3xIkTvPTSS83jfOPi4li5ciXLli3j1KlTREREMHHiRFJTU89zJSHEuXyft5XyhkoApqRORKtu97VohBBCCK/Trn8tr7/+ejIyMrjpppu47rrrCAoKIjQ0lPvvv789mxGiU6u3mlh94lugaZne/hEZLo5ICCGE8Azt+nDboEGD2L9/P3/9618ZNWoUjz32GBs3bsThkLkxhWgvq098i8lmBuCmtOubpw4UQgghxLm1a4/vhx9+SHFxMV9++SVfffUVa9asYe3atYSFhTF58mRuuukmunbt2p5NCtGplJkr+D5vKwD9InqTGpzs2oCEEEIID9KuSxb/t2PHjvHll1/y9ddfc/LkSVQqFT169ODmm29m+vTpF329w4cP8+qrr7Jz505sNhsZGRk8+uijDBky5IKvsX37dmbMmMHgwYNZtGjReY+/1CWLzTYzRfWlbe7XalQEBBqprTFjszstBUT7RWDUXtrT/rfeOpkRI64gKiqapUuXUFtbw8CBg/nzn//K6tX/YcmSD6mtrWXgwEH86U//w6effsQHH7x31mu9/vrbDBgw6HJeittxxZKM/96/mJ0le1Cr1Px56O+J9I3okHa9mSyR6h0kj95B8ugd3HnJYqcWvmfav38/33zzDZ9//jkVFRUcPHjwos7Pzc3lpptuIiUlhdmzZ2MwGFiwYAGbN29m8eLF9O3b97zXsFgs3HDDDRw/fpwhQ4Y4rfA128z8eevfMf/8cbQrGbVG/jriqUsqfm+9dTJqtZphw0Zw6623k5OTw3PP/ZHevfsQFxfPjBn3cvz4Uf7856e4994HuOOO6ZjNpubz6xrree7ZP1FdXcndzz9EvcpMWUMFiuKgf2QfBkf1w1fn254vt0N19I19suYU/7tjHgBXxo/gV11vdHqbnYH8ofUOkkfvIHn0Du5c+HbIo+C7d+9mzZo1bNy4kbKyMjQazUVf46233sJut/POO+8QGhoKwMCBAxk3bhxz585l/vz5F3SNmpoaevfufdHtd1Y2m43HHnscjUZDYmIy8+e/x7FjOcyd+yYGg4GkpGS6dEnhyJEsfH198fX1xWxr4LMjK/niw08pPXaK9JkD+aZoY4vrHqk6xvKcr+gX0YeRsYNJC06Rsarn8eWxpsVhDBofJiaPdXE0QgghhOdxWuG7d+9eVq1axerVqykqKkJRFNLS0pgzZw433HDDRV1LURTWrVvHiBEjmoteAL1ez7hx41i0aBE1NTUEBga2eY3s7Gzef/99nn/+eb744otLfVkX5HQvq6cPdQBIS+va4o1KYGAQer0PBoOhxba6ujoAjlQeY+GhTzix5wjF358g6Ve9MUT6o1VpCDWGEG4Io9ZSy6m6AqwOG9uLd7G9eBcRxjCuSriCK+NGSAF8FtmVRzlUkQ3AmMTRBOj9XRyREEII4XnatfA9ePAgq1atYtWqVeTn56MoCuHh4dx1111MmTKFnj17XtJ1CwoKqK2tJT09vdW+9PR0HA4H2dnZDBp09jGkDoeDZ599lv79+3PLLbc4vfCFpuK3S1Bim/ubPwZQu/fHOUajodW2M4ve0xyKg2U5X7E+dxMNFfXkfn6QPuMGM2fGHwg3hhKoD0Ct+mUSkVO1+Wwt2M724l2YbQ2UmstZmr2Co1XHmdHjV+g1eqe+Lk+iKApfHlsNgJ/OlzEJo1wckRBCCOGZ2rXwvfnmm4GmwmjSpElMmTKFK664ArX68mZNKy8vByAkJKTVvtPbTh9zNh9//DEHDhxgxYoVF922Wq1CrW7/HkiNRt3iu7tSqVRoteoW/w+02GZxWCiqL+Hb3O9xWO3kfnKQ9O7dePu5f7aZ+y4hCXQJSeC27pPZVbyXtSe+I7+ukF0leylrqGB2v3sJMQQ598Vdpo7K4b7SgxyrPgnAxC5jCDB47rhod+Qp96I4N8mjd5A8egd3zmO7Fr5Dhw7lxhtvZNy4cfj5+bXbdS0WC9A0tOG/6XQ6ABoaGs56blFREf/4xz+YOXMmKSkpF912aKifUz96Dwy89GEIzqbRqNHrtYSE/JJLna5p2MPpbQdKssmtyUehabhG/dpCgtX+LHjn3wQHX9hA84nhoxnTbRhvZi7gx1O7yK3J46XM13niilmkhSW374tyAmfm0KE4+DJzLQAhxiBuzLgWvVZ6w53Bne9FceEkj95B8ugd3DGP7Vr4LliwoD0v18zHxwcAq9Xaat/pothoPPs/7vPPP09kZCS/+c1vLqntiop6p/X4BgYaqakxY7e751AHu92BxWKjsrK+eZvVagegsrKeioYqXv3hXRQUVKhIOhHGf3Zs5JVXXqOsrJqysurm83x8fPD3P3chfE/3O4nQh/Pl0bVUNlTz7Pp/cHevXzEkZoBzXuBl6ogcbi/czcmqPAAmJY+lvtZKPa3vA3HpPOFeFOcnefQOkkfv4Io8ntlJdy4dMqvD5YqIaJqrtKKiotW+srKyFsecac2aNWzYsIF33nkHq9XaXDjb7U3FW319PTqd7qw9yac5HAoOh/MePrPbHW49xldRlBbxnZ79zmyx8PZPC6i1NhXFMX5R5O46it1u53e/e6TVdSZOvJ6nn/6f87Y3IWkskcZIFh78BKvDyr/2fURJfQUTkse0zwtyAmfl0O6wsyKnaWxvuCGUoVGD3PpnxdO5+70oLozk0TtIHr2DO+bRIwrf6OhoQkJCyMrKarUvKysLnU531hXhNmzYgKIozJw586zXHTBgAA8//DCPPNK6UBPw2Wdfttr2xhvvAvDR4c85WXMKgEf/+iTXdbm23dodENmHcGMo7+xdQFVjNV8eW02QPoDhsYPbrQ1P8GPRDkrNTWPXr0sZh0Z98dMACiGEEOIXHlH4AowfP57ly5dTWlra3LtrMplYu3Yto0ePPuuY4lmzZnHrrbe22v7CCy8A8MwzzxAbG+vcwL3QloJtbCnYBkDvsB5MTL6m3dtIDIjniUEP88qON6lsrOKjrM8JMQTTPbT1zB7eyGq38vXxdQDE+kUzKKqfawMSQgghvID7PW7XhtmzZ2M0Gpk1axbfffcdW7ZsYfbs2ZjNZubMmQNAZmYmPXv25JNPPgEgOTmZQYMGtfoKCAggICCAQYMGSeF7kU7WnOLTrC8ACDeGcXfPO1pMU9aegn2CmN33PgwaAw7Fwfv7F1FYX+yUttzNpoIfqWpsGiM9OWW80/6NhRBCiM7EY/6aRkVF8dFHHxEREcGcOXN4+OGHUalULFy4kLS0NKBp/KndbsfhcK/xJN6i1lLHe/sWYVPs6NU6Zmbcha/OuU9sxvpHc3/GdNQqNWZbA2/t+TfVjRe/jLQnMdsaWHNiPQDJgYlkhF/a/NdCCCGEaEmlnH5aSZxVaalziixPW49cURTe+Ol9DlceAeDenncyKLp/h7W/tSCTxYc/A5qGQfx2wCx8XLzIhbNy+NWxNaw68S0Aj/abSbfQtHa7tmjN0+5FcXaSR+8gefQOrshjRMSFTaHqMT2+wrV2lextLnqvTriiQ4tegBGxQxif1DSzQ25tHvMPfIxD8b5fitWNNXyb+z0APUO7SdErhBBCtCMpfMV5WR02Vh5dBUCYIZQpqZNcEsf1KeMYGNkXgL1lB/jq2FqXxOFMXx//BovDigoVU1InujocIYQQwqtI4SvOa1PeVsoamuZQnpI6EZ3aNZOBqFVqZvT4FSlBSQCsObmeg+Wtp7jzVMX1JWwt3A7A4Oj+xAfIg5dCCCFEe5LCV5yTyWpqHm+aHJjIgMg+Lo1Hp9Hx697T8dc1TV+34OCS5tkPPN3KY6txKA60Kg3Xdxnv6nCEEEIIryOFrzin1SfXY7KZAbgp7TpUqvZfvvliBfsEcVfPOwCos9bzwYGPsDvsLo7q8hyrPslPpfsBuDJ+JGHGEBdHJIQQQngfKXxFm8rMFWw8tQWAvhG9SQvu4uKIftErrBvjkq4GIKfqOF8f/8bFEV06RVH4Iuc/ABi1BsYlX+3iiIQQQgjvJIWvaNOXx1ZjU+yoVWq3fNDq+i7jSA1KBmDNyQ0cKs92bUCXaH/5IY5WnwBgXNLVzcM4hBBCCNG+pPAVZ3Wy5hQ7in8CYFTcMKJ8I1wb0Flo1Bru7TUVP50vCgrzD37sceN97Q47X/w8Y0awTxBXxV/h4oiEEEII7yWFr2hFURSW5XwFgEFjYGLyWBdH1LYQQzB3nzHed/6Bjz1qvO+PRTso+nkZ5uu6jEOv0bk4IiGEEMJ7SeErWtlbdpCcquMAjEu6igC9v4sjOrdeYd25NvEqAI5UHWPViXWuDegC1VnrWXl0NQAxflEMixno4oiEEEII7yaFr2hBUZTmB8WCfYK4OmGUiyO6MJNTxpPy83jf1SfWc7jiiGsDugArcr6mzloPwK+6TkGtkttRCCGEcCb5SytaOFJ1lLy6AgAmJI/xmI/eNWoN9/Waip/2l/G+1Y21rg6rTTlVx5sXqxgSPYCuIbI0sRBCCOFsUviKFtaf2gSAn9aXodGe9dF7iCGYGT1/BUCtpY4FBz/GoThcHFVrNoeNJVnLAPDVGrk57XoXRySEEEJ0DlL4imYlplL2lx0GYGTcUPQavYsjungZ4T0Z8/PwjKzKHNae3ODiiFpbn7uJwp8faLsxdZLbj6EWQgghvIUUvqLZhlNbUFBQq9RcGT/C1eFcsimpE0kKSADgq2NrOVJ5zMUR/aLMXMHXPz98lxKUzPDYwS6OSAghhOg8pPAVAJisJn78eczpwMh+BPsEuTiiS6dVa7mv9zSMWgMKCh8c+IhaS52rw0JRFD7N/gKrw4papeaObjfJA21CCCFEB5K/ugKALQWZWBxWAMYkev4iCuHGUKZ1vw2AaksNCw4ucfn8vrtL93GgvGkoyTUJo4nzj3FpPEIIIURnI4WvwO6w813eFgDSgruQGBDv4ojaR//IDEbHNQ3ZOFSRzec5X7osFrPNzGfZKwEINYQwsYv7LgoihBBCeCspfAW7S/c1L/U7xkPm7b1Qt6RfT3pwCgAb87ay4dTmDo/BoTiYf2AJ1ZYaAG7veiM+HvjgoBBCCOHppPDt5BRFaZ7CLNwQSkZ4TxdH1L60ai0PZNxFpG84AJ8f+ZJ9ZQc7NIavjq1lf/khAIbHDKZ3eI8ObV8IIYQQTaTw7eSO15zkZM0pAK5KuMIrH7by0/nyYJ/7mhe3+PeBjzhVW9Ahbe8s/ok1J9cD0CUwkdu73dQh7QohhBCiNe+rcsRFWZ/b1Ntr0BgYHjPIxdE4T6RvODP73I1WpcFit/D23g+ah3c4y6nafBYdWgo0Lf/8QMZd6NRap7YphBBCiLZJ4duJlZsr+Kl0PwAjY4dg0BpcHJFzpQV3YVqPppkeqhqreXvvfBrtFqe0VWup4529C7A6rGjVWmZm3EWQT6BT2hJCCCHEhZHCtxPbXLANBQUVKq6MH+nqcDrEkOgBTEpumlHhVG0+/7f7Haoba9q1DZvDxnv7FlHZWAXAtO63khSY0K5tCCGEEOLiSeHbSdkddn4s3AFA7/AehBlDXBxRx5nU5VqGRg8E4GTNKf53xzxya/Pa5dp2h52Ps5ZxtPo4ANckjmZI9IB2ubYQQgghLo8Uvp3UgfLD1FhqgaZhDp2JSqVieo/bmJA0Bmga9vDqzn+yu2TfZV23zFzB3F3/bH5D0SO0KzemTrrseIUQQgjRPqTw7aS2FmYCEKQPoGdoNxdH0/HUKjWTUydwd8870Kq1WB1W3t+/iFXH16EoykVfb2fxHv5f5mscr8kFID04hft6TfPKWTKEEEIITyWPmHdCVY3V7C9rWjp3aMwgNGqNiyNynSHRA4gwhvPuvgXUWGr56vha8uoKGZ98NQn+cahUqnOe32izsOjAUjbnbwNAhYrrulzL+OQxUvQKIYQQbkYK305oW+FOFJp6NYfHDHZxNK7XJSiRPwx6hLf3zievroCfSvfxU+k+YvyiGBI9gMFR/QkxBDcfb7aZya8rothczMb8reTXFAEQ4hPMPb3uJC24i4teiRBCCCHORQrfTsahONhauB1o+jj+9IpmnV2IIZg5A2fzWfZKMot3YXPYKKwvZsXRVaw8upr0kFT0ah35dYXNszWcqW9Eb6Z1vxU/nW/HBy+EEEKICyKFbyeTU3WMMnM5ACM62UNt5+Oj0TOtx63clHYdu0v2sq1oF0erj6OgkF2Zc9ZzIvzCGJd4FcOjh5x3WIQQQgghXEsK305mS0HTQ21GrZF+ERkujsY9+eqMjIwbysi4oZSZK9hetIu9ZQfQqrXE+scQ5xdNrH8MiUGxxEWGU1lZj83mcHXYQgghhDgPKXw7EZPV1LxS2+Co/ug1OhdH5P7CjaFM7DKWiV3Gttqn1crDa0IIIYQnkb/cnUhm8W5sDhsgwxyEEEII0flI4dtJKIrC1p+HOSQGxJEQEOviiIQQQgghOpYUvp3Eqdp88usKARgeI729QgghhOh8pPDtJLb8vFKbTq1jUFQ/1wYjhBBCCOECHlX4Hj58mJkzZzJw4ED69u3L9OnTyczMPO95W7du5c4776Rv374MGTKEqVOnsnHjxg6I2D1Y7BZ2FP0EwIDIPvjqjK4NSAghhBDCBTym8M3NzWXatGlUVlbyyiuv8Pbbb+Pv7899993Hnj172jxv/fr13Hvvvfj7+zNv3jxefvllfHx8mDlzJqtWrerAV+A6P5Xup8HeAMhKbUIIIYTovDxmOrO33noLu93OO++8Q2hoKAADBw5k3LhxzJ07l/nz55/1vLlz55KcnMxbb72FTtc0fdeQIUO46qqrWLRoERMnTuyol+Ay2wp3AhBuCJXldIUQQgjRaXlE4asoCuvWrWPEiBHNRS+AXq9n3LhxLFq0iJqaGgIDA1ud9+CDDxIaGtpc9AIYjUaSkpIoKirqsNfgKhUNlWT9vOrYsJhBsrqYEEIIITotjxjqUFBQQG1tLenp6a32paen43A4yM7ObrVPpVIxadIkhg0b1mK71Wrl5MmTJCYmOi1md7GtcBcKCgBDoge6OBohhBBCCNfxiB7f8vJyAEJCQlrtO73t9DEXYt68eVRVVTF16tTzHqtWq1Cr27+XVKNRt/juDIqisK1oBwDdQtOICghzWludUUfkUDif5NE7SB69g+TRO7hzHj2i8LVYLEDT0Ib/dnoIQ0NDwwVda8mSJbz77rvcfPPNjBs37rzHh4b6OXV4QGCg82ZYOFyaQ6m56Q3BtelXEBLi57S2OjNn5lB0HMmjd5A8egfJo3dwxzx6ROHr4+MDNA1R+G+ni2Kj8fz/uG+88Qbz5s1j8uTJ/PWvf72gtisq6p3W4xsYaKSmxozd7mj36wOsydoEgI/Gh65+6VRW1julnc6qI3IonE/y6B0kj95B8ugdXJHHC+3c84jCNyIiAoCKiopW+8rKyloc05bnnnuOJUuWcP/99/P4449fcC+uw6HgcCgXGfGFs9sd2Gzt/0PRaLews6hpmrcBkX3QoHNKO8J5ORQdS/LoHSSP3kHy6B3cMY8eUfhGR0cTEhJCVlZWq31ZWVnodDq6du3a5vlz587lk08+4emnn+auu+5yZqhuY0/pfhrsjUDTbA5CCCGEEJ2d+406bsP48ePZunUrpaWlzdtMJhNr165l9OjR+PmdvYt73bp1vP322/z+97/vNEUvwI+FTQ+1hRtCSQ1Kdm0wQgghhBBuwGMK39mzZ2M0Gpk1axbfffcdW7ZsYfbs2ZjNZubMmQNAZmYmPXv25JNPPgHAZrPx97//nfj4eIYOHcq+fftafZ0eI+xNys2VZFceBWTuXiGEEEKI0zxiqANAVFQUH330ES+//DJz5sxBURT69evHwoULSUtLA5qm77Lb7TgcTeNJioqKOHXqFAC33XbbWa/77bffEh8f3zEvooNkFjXN3atCxdAYmbtXCCGEEAI8qPAFSE1N5e23325z/9ChQ1uMA46Pjz/ruGBvpigKP/48d2/XkFRCDa3nPhZCCCGE6Iw8ZqiDuDBHq09Q9vPcvfJQmxBCCCHEL6Tw9TLbfn6ozaDxoW9EbxdHI4QQQgjhPqTw9SINtgZ2lDTN3ds/sg8+mtYr3QkhhBBCdFZS+HqRncV7sNibZqkYGTvExdEIIYQQQrgXKXy9yOaCbQDE+kWTHJjo4miEEEIIIdyLFL5e4lRtAbm1eQCMjB0qc/cKIYQQQvwXKXy9xNafe3t1ai1Dovu7OBohhBBCCPcjha8XaLRbyCzaDTQ91Oar83VxREIIIYQQ7kcKXy+wq2QvDfYGoGmYgxBCCCGEaE0KXy+wJb9pmEOUbySpQcmuDUYIIYQQwk1J4evhCuqKOF5zEmiawkweahNCCCGEODspfD3clp8fatOqNAyNHujiaIQQQggh3JcUvh7MYreSWbQLgL4RvfHX+7k4IiGEEEII9yWFrwf7qXQfJpsZgCvi5KE2IYQQQohzkcLXg50e5hBhDCM9ONXF0QghhBBCuDcpfD1UUX0JOVXHAVmpTQghhBDiQkjh66G+z/8BALVKzdAYeahNCCGEEOJ8pPD1QHWWerYWZAIwILIPgfoAF0ckhBBCCOH+pPD1QBvztmB1WAG4NvEq1wYjhBBCCOEhpPD1MI12CxvztgLQM7Qb8QGxLo5ICCGEEMIzSOHrYbYWZFJvMwEwLukq1wYjhBBCCOFBpPD1IHaHnW9zvwcgOTCRtOAUF0ckhBBCCOE5pPD1IDuKf6KysQqAa5OukinMhBBCCCEughS+HsKhOPgm9zsAonwj6BPe07UBCSGEEEJ4GCl8PcSB8sMU1hcDMDbxKtQqSZ0QQgghxMWQ6slDrD35HQBB+kAGR/d3bTBCCCGEEB5ICl8PkFN1nGPVJwAYkzgKnVrr2oCEEEIIITyQFL4e4Jufe3uNWiMjY4e6NhghhBBCCA8lha+bO1GTy/7yQwCMjhuOUWtwcURCCCGEEJ5JCl83ZnfYWXzoMwAMGh+uShjp4oiEEEIIITyXFL5ubF3uRgrqiwCYkjqRQH2AiyMSQgghhPBcUvi6qRJTKV+fWAdASlASV8QNc3FEQgghhBCeTQpfN6QoCh9nLcfmsKFRaZja/VaZt1cIIYQQ4jJJNeWGfizcQXZlDgDjkq4mxi/KxREJIYQQQng+KXzdTI2llmU5XwFNSxOPTx7j4oiEEEIIIbyDFL5u5rPslZhsZgCmdr9VFqsQQgghhGgnUvi6kf1lh9hZsgeAkbFDSQvu4uKIhBBCCCG8h0cVvocPH2bmzJkMHDiQvn37Mn36dDIzM512Xkdbc3I9AEH6AG5MneTiaIQQQgghvIvHFL65ublMmzaNyspKXnnlFd5++238/f2577772LNnT7uf5wpJAQn4aX2Z3uNX+OqMrg5HCCGEEMKrqBRFUVwdxIV46qmnWL16NevXryc0NBQAi8XCuHHjSE5OZ5VMGwAAD7NJREFUZv78+e163mmlpbXt+TKaabVqQkL8qKysx2ZzNG9XFAWVSuWUNkX7aiuHwrNIHr2D5NE7SB69gyvyGBFxYYt8eUSPr6IorFu3jhEjRjQXrwB6vZ5x48axbds2ampq2u08V5KiVwghhBDCOTxiyoCCggJqa2tJT09vtS89PR2Hw0F2djaDBg1ql/NcRbGYcFQVujoMcaE0ahpMBmy1Ddjt0jPhsSSP3kHy6B0kj95Bo8ZhTHV1FGflEYVveXk5ACEhIa32nd52+pj2OO9MarUKtbr9e2E1GnWL70qjieqPH0dpNLV7W8J5nDMQRnQ0yaN3kDx6B8mjd6g3+BF811y0WoOrQ2nBIwpfi8UCNA1R+G86nQ6AhoaGdjvvTKGhfk4dfhAY2PQQm6MBalQqPGLAtRBCCCHEeQQGGFAb/FwdRgseUfj6+PgAYLVaW+07Xdwaja1nQbjU885UUVHvtB7fwEAjNTXm5o9zAqf9A7sMdfAYarUKPz8f6usbcTjkLYunkjx6B8mjd5A8ege1WkVIYgp1FjV2c32HtBkScmEFtkcUvhEREQBUVFS02ldWVtbimPY470wOh+LUm89ud/zyxKPGAGGyaIWnUGvVGEL8MFfW45Cnjz2W5NE7SB69g+TRO6i1atQGP+xm95udwyNmdYiOjiYkJISsrKxW+7KystDpdHTt2rXdzhNCCCGEEN7HIwpfgPHjx7N161ZKS0ubt5lMJtauXcvo0aPx8zt7F/elnieEEEIIIbyLxxS+s2fPxmg0MmvWLL777ju2bNnC7NmzMZvNzJkzB4DMzEx69uzJJ598clHnCSGEEEII7+cxhW9UVBQfffQRERERzJkzh4cffhiVSsXChQtJS0sDmhassNvtOByOizpPCCGEEEJ4P49ZsthVOnrJYuE5JIfeQfLoHSSP3kHy6B1kyWIhhBBCCCFcTApfIYQQQgjRKUjhK4QQQgghOgUpfIUQQgghRKcgha8QQgghhOgUZFYHIYQQQgjRKUiPrxBCCCGE6BSk8BVCCCGEEJ2CFL5CCCGEEKJTkMJXCCGEEEJ0ClL4CiGEEEKITkEKXyGEEEII0SlI4dvBDh8+zMyZMxk4cCB9+/Zl+vTpZGZmujoscQkOHz7MhAkT6NatG0ePHnV1OOISbN26lTvvvJO+ffsyZMgQpk6dysaNG10dlrhI69evZ+rUqQwePJh+/fpxxx13sHbtWleHJS7R9u3b6d69OzNmzHB1KOIizZgxg27dup31a+7cua4OD5DCt0Pl5uYybdo0KisreeWVV3j77bfx9/fnvvvuY8+ePa4OT1yExYsXc9ttt1FXV+fqUMQlWr9+Pffeey/+/v7MmzePl19+GR8fH2bOnMmqVatcHZ64QCtWrODBBx8kLi6O1157jblz56LVannkkUf4+uuvXR2euEgWi4U///nPyBIDnqtXr1589tlnrb6mTp3q6tAAWcCiQz311FOsXr2a9evXExoaCjTd5OPGjSM5OZn58+e7NkBxQTIzM7n//vt59tlnKSws5I033uDrr78mNTXV1aGJizB58mQsFgtfffUVOp0OALPZzFVXXUVqaiofffSRiyMUF2LMmDHExMSwePHi5m11dXVceeWV9OrVi4ULF7owOnGxXnvtNT799FNiYmLw9fVl0aJFrg5JXITTvfTunDfp8e0giqKwbt06RowY0Vz0Auj1esaNG8e2bduoqalxYYTiQgUHB7NkyRJuvfVWV4ciLpGiKDz44IM8//zzzUUvgNFoJCkpiaKiIhdGJy5UY2Mjv/71r3nsscdabPf39yclJYWCggIXRSYuRXZ2Nu+//z6///3v8fX1dXU4wktpXR1AZ1FQUEBtbS3p6emt9qWnp+NwOMjOzmbQoEEuiE5cjK5du7o6BHGZVCoVkyZNarXdarVy8uRJevTo4YKoxMXy8fFh2rRprbZbrVYKCwsljx7E4XDw7LPP0r9/f2655Ra++OILV4ckvJQUvh2kvLwcgJCQkFb7Tm87fYwQwjXmzZtHVVWV24xFExfHbreTm5vLq6++SmNjI48++qirQxIX6OOPP+bAgQOsWLHC1aGIy1RZWclTTz3Fjz/+SFlZGUlJSUydOvWsb1JdQYY6dBCLxQI0DW34b6c/am1oaOjQmIQQv1iyZAnvvvsuN998M+PGjXN1OOIiLVu2jJ49ezJhwgROnTrFBx98QEZGhqvDEhegqKiIf/zjH8ycOZOUlBRXhyMuU15eHrGxsfzjH/9g3rx5xMfH85e//IV//etfrg4NkB7fDuPj4wM0fQT3304XxUajsUNjEkI0eeONN5g3bx6TJ0/mr3/9q6vDEZdgzJgxLFu2jNLSUlauXMmdd97J888/z8033+zq0MR5PP/880RGRvKb3/zG1aGIyzRv3jy0Wi3+/v7N26666ipuv/12Xn/9dW6//fYW+1xBCt8OEhERAUBFRUWrfWVlZS2OEUJ0nOeee44lS5Zw//338/jjj6NSqVwdkrgEwcHBBAcHA01/aB9//HH+53/+h2uuuYagoCDXBifatGbNGjZs2MA777yD1Wpt7hyy2+0A1NfXo9PpzvppqXA/p+/BM6lUKq655hr27NlDTk4O/fr16/C4ziSFbweJjo4mJCSErKysVvuysrLQ6XTy0JQQHWzu3Ll88sknPP3009x1112uDkdcpJKSEjZu3Ej//v1JS0trsa9Xr158+eWXnDhxgr59+7ooQnE+GzZsQFEUZs6cedb9AwYM4OGHH+aRRx7p4MjEpXA4HDgcDrTaluXl6aGcpz/9diUpfDvQ+PHjWb58OaWlpc29uyaTibVr1zJ69Gj8/PxcHKEQnce6det4++23efzxx6Xo9VAWi4VnnnmGG264gZdffrnFvt27dwMQExPjitDEBZo1a9ZZp4Z84YUXAHjmmWeIjY3t6LDEJcjNzWXSpEnMmDGDJ598snm73W5n3bp1BAcHt3qD6gpS+Hag2bNns3r1ambNmsUjjzyCTqfjvffew2w2M2fOHFeHJy5QXl4elZWVQFOPE0BOTg4mkwmAbt26ycdybs5ms/H3v/+d+Ph4hg4dyr59+1odI3l0f/Hx8UyZMoUVK1bg7+/P2LFjAVi7di1r1qzh5ptvJjIy0sVRinNJTk4mOTm51faAgAAAmeLTgyQmJnLttdeyYMECtFotI0aMwGQy8dFHH5Gdnc0LL7zQYt50V5GV2zrY0aNHefnll8nMzERRFPr168ecOXPk6WMP8tRTT7F8+fI293/77bfEx8d3YETiYuXl5XHNNdec8xjJo2ew2WwsXLiQ5cuXc/LkSfR6PQkJCUyaNIl77rnHLf7QiovnCSuAidYsFgsLFixg6dKlFBQUoNPp6NmzJ7/+9a8ZM2aMq8MDpPAVQgghhBCdhMzjK4QQQgghOgUpfIUQQgghRKcgha8QQgghhOgUpPAVQgghhBCdghS+QgghhBCiU5DCVwghhBBCdApS+AohhBBCiE5BCl8hhBBCCNEpSOErhBBeYO7cufTs2ZNNmzY5rY3HH3+c/v37c+jQIae1IYQQziSFrxBCeIglS5awbdu2VttXr17N22+/zSOPPMKoUaOc1v7f/vY34uLiePDBB6murnZaO0II4SxS+AohhAew2+289NJLZGZmttheUVHBs88+S2pqKjNnznRqDD4+Prz44osUFRXx4osvOrUtIYRwBil8hRDCA2RnZ2MymVptf+utt6iuruahhx5Co9E4PY4+ffowfvx4VqxYIUMehBAeRwpfIYRwc0899RQ33ngjAG+88QbdunVj3rx5mM1mPvvsM+Li4pg4cWKLc2bMmEG3bt2oqqri3XffZfz48fTu3Zthw4bx5JNPthqqkJ2dzRNPPMGYMWPIyMhg2LBhTJ06lZUrV7aK584770RRFBYuXOi01yyEEM6gdXUAQgghzm3atGn4+vqyePFiJkyYwMSJE0lLSyMzMxOz2cyoUaNQq8/ej/G3v/2N3NxcZsyYgV6vZ+XKlXzxxReYzWZef/11APLy8rj99tvx8/NjxowZxMbGUlNTw8qVK3niiSeoqalh+vTpzdccOHAgfn5+rF27lr/+9a9otfKnRAjhGeS3lRBCuLmMjAyOHDkCQFpaGhMmTADgk08+AeCKK65o89zc3FwWL17cXJxOmjSJUaNGsX79eiwWC3q9nnXr1mEymfjb3/7GpEmTms+9/fbbeeyxxygsLGxxTZ1Ox5AhQ9iwYQOHDh0iIyOjXV+vEEI4iwx1EEIID3XixAkAunTp0uYx06dPb9Ej6+/vT1paGlarlcrKSoDm/ZmZmSiK0nysVqvlzTff5Iknnmh13ZSUFKCpt1gIITyFFL5CCOGhKioqAAgNDW3zmOTk5FbbDAYDAFarFYDrr7+etLQ0Pv74Y8aOHcsLL7zAN998Q11dXZvXPd3m6RiEEMITSOErhBAeqra2FoCAgIA2j/Hx8TnvdYKDg1myZAm/+93vMBqNLFq0iIcffpjhw4fzxz/+kZqamlbnBAYGtohBCCE8gYzxFUIID3W64K2trT1nr++FXmvWrFnMmjWL4uJiNm/ezOeff86yZcsoKirigw8+aHH86WL4XEW3EEK4G+nxFUIID+Ws4QZRUVHccsstfPjhh/Tq1YutW7e26tktLy9vEYMQQngCKXyFEMIDnF6coqGhoXnb6fG7x48fv6xrP/3000yePBmz2dxiu1qtxmAwoNFoWk2XdrrN+Pj4y2pbCCE6kgx1EEIID5CQkADAypUrCQkJITY2liuuuIKFCxeyefNmrr322ku+9siRI1m2bBm33norN954I9HR0TQ0NLBx40Z27tzZPMfvaVarlczMTPz9/enRo8dlvzYhhOgoUvgKIYQHGDBgAFOnTmXFihW88cYb3HLLLTz++OMYjUY2bdqEw+FocxGL85k0aRJBQUEsWrSIBQsWUFVVRVBQEImJiTz33HPccccdLY7fuXMn9fX13HzzzbJ4hRDCo6iUMydtFEII4VFeeOEFFi1axKuvvsp1113XIW0+9thjrFmzhuXLl0uPrxDCo8gYXyGE8GCzZ88mKCiIN998E7vd7vT29u7dy5o1a5gyZYoUvUIIjyOFrxBCeLDQ0FD+8pe/cPToUd59912nttXY2MjTTz9NdHQ0f/rTn5zalhBCOIMUvkII4eEmTJjArFmzmDdvHps2bXJaO8888wx5eXm89dZbBAUFOa0dIYRwFhnjK4QQQgghOgXp8RVCCCGEEJ2CFL5CCCGEEKJTkMJXCCGEEEJ0ClL4CiGEEEKITkEKXyGEEEII0SlI4SuEEEIIIToFKXyFEEIIIUSnIIWvEEIIIYToFKTwFUIIIYQQncL/B8urFII8WRO0AAAAAElFTkSuQmCC", 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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", "def rotation(t):\n", " omega = 2*np.pi * 1e9\n", " return [np.cos(omega * t), -np.sin(omega * t), 0,\n", " np.sin(omega * t), np.cos(omega * t), 0,\n", " 0, 0, 1]" ] }, { "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 = (mm.Exchange(A=1e-11)\n", " + mm.Demag()\n", " + mm.Zeeman(H=H_field, func=rotation, dt=tstep))" ] }, { "cell_type": "code", "execution_count": 24, "id": "2b033b55-30d6-452e-91ab-91a265870e72", "metadata": { "tags": [] }, "outputs": [], "source": [ "system.dynamics = mm.Damping(alpha=.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)[2023/10/23 16:05]... (7.1 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 = mm.Exchange(A=1e-11) + mm.Demag() + mm.Zeeman(H=H_field, tcl_strings=tcl_strings)" ] }, { "cell_type": "code", "execution_count": 31, "id": "45d3ea00-853a-4919-aa81-18c71e3d9a03", "metadata": { "tags": [] }, "outputs": [], "source": [ "system_tcl.dynamics = mm.Damping(alpha=.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)[2023/10/23 16:05]... (2.7 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 = mm.Exchange(A=A) + \\\n", " mm.DMI(D=D, crystalclass='Cnv_z') + \\\n", " mm.UniaxialAnisotropy(K=K, u=u)\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", "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$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "70296e63-ea1a-4c62-a81a-644aed4c03b1", "metadata": {}, "source": [ "Now, we can relax the magnetisation." ] }, { "cell_type": "code", "execution_count": 37, "id": "ca698c4f-bdba-4beb-a8aa-4267b59e7d15", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:05]... (3.5 s)\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)\n", "\n", "system.m.orientation.z.sel('z').mpl.scalar(colorbar_label=\"$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", "def time_func(t):\n", " omega = 2 * np.pi / 1e-9\n", " return np.sin(omega * t)\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)[2023/10/23 16:05]... (6.2 s)\n" ] }, { "data": { "image/png": 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" ] }, "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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U1ufspOWxsW0t86uPJeUyZ8kxm9kBVkiBLGyMwWji04VHLNMqxvVtzl19mqscVf2KberPjDFxaDRQVKrng/kHpU+yEMLhJKbm8+/FRzEpCh6uzsy8tyNBvu5qh1VvnJ20PHpXHF1bhQDmOck/rj+tclTiMimQhc1QFIWvV57kZHIeAAM7hzOqVzNVY1JL55bBPDA0FoCcgnJmLzhEUale5aiEEKJupGYV86+fDlFhMKFz1vL0xPZEBHupHVa9c3bS8sioNrRs4gfA+n0prP3tgrpBCUAKZGFDlmw7x85j5u1E20cFMunOmAYxreJG+ncMZ1xf8+h5alYxH/18mHKZoyaEsHM5BWV8ON+8CYhWo2HGmDhLgdgQ6Zy1PDm+HWEB5r7+89afZv+pSypHJaRAFjZh+5F0lm5PAqBpqBczxsThpJXLc1SvZpYd9xJT8/li6TFMsk2pEMJOlZYb+HDBIXILywF4cFgsnWLsv8/x7fJy1/HMPR0sO+59sfQY59IL1A6rQZMKRKjuxPlc/rfKvEjD39uVP03sYPebgNQVjUbDpDtb0q1yjtqB01ks35GkblBCCFELJkXhy+XHSavsaz+hfwv6dmisclS2I8TPnacntEfnrKXCYOJfPx0iK69U7bAaLCmQharSs4v5ZOERjCYFNxcnnrm7A/7ermqHZVO0Wg3TRrWmWZg3AEu2nuPwGdlIRAhhX1btOs+B0+bvrt5twxjRM1LliGxPVLgvj4xqgwYoKNEz+6dDlJQZ1A6rQZICWaimvMLIJwuPUFpunof2+Li2NAlpeIs0quNyc3kv98u3346TmVuidlhCCFEtR89ms3DzWQAiQ72ZOjS2Qa8xuZmurUK4e2A0AOnZJXy98gSKTK2rd1IgC1UoisLc1QmWdm733RFN2+aBKkdl2wJ93Xissv1bSbmBTxceobxCFu0JIWzbpbxSPl96DAXzXNsnxrfFReekdlg2bWj3JvRp1wiAfacusXZvisoRNTxSIAtVbDmUZulY0a1VCHd0iVA5IvvQulkAdw8wjyykXCrmf7+elJEFIYTNKtcb+XThEYrLDGg08OiYuAbV67i2NBoNk4e0JCLYvKPgTxsTOZMqO6vWJymQRb1Lzizk+7XmZuih/u78YXgrudVWA0O7N7Es2tt9PFN6ZgohbJKiKMz99STJF4sAmNg/irhmASpHZT9cdU48NrYtri5OGE0K/15yVPrh1yMpkEW9Kikz8NnioxiMpsr96Nvh7iodK2pCo9Hw0IhWhFeOLCzYeIaE5FyVoxJCiKo27E9l57FMALrGBjOsR1OVI7I/jQI9eWh4K8C8adR/lh2XVp/1RApkUW8UReHrVSe4mGtuWzNlcEtZlFdLbi7OPFn5y4VJUfhi2XGKy2RkQQhhG1IuFjF/QyIAjYM8eWhEa7lTWEvdW4da+uEfOZvNql3nVY6oYZACWdSbdftS2Jdg3h2od9sw+rRvpHJE9i00wMMyspBbWM63qxNkPrIQQnV6g5HPlx2z3Cl8bGxbuVN4m+4dFGNp9blwy1lOnpe7htYmBbKoF+czCllQOZoQHuzJFGnxUye6tgqxrHTec+IiuypvZwohhFp+2XyW1EvmzUDuGRhNeJCnyhHZv8u/aHi4OqMo8PnSYzIf2cqkQBZWpzeY+HL5cYwmBRedlsfHtsVVWvzUmfvvjCHYzw2A79YmyM5LQgjVHDuXw5rKhcPtWgRapgaI2xfs584fR7YGIL+4gu/WJKgckWOTAllY3eKtZ0mt3Fr03oHRNAqU0YS65O7qzCOj49BqNJSWG/ly+XFMJplqIYSoX0Wler5acRww9zt+eIR0KKprnVoG06/DlbuGe07IXUNrkQJZWNXplDx+3Z0MQFwzfwZ0ktEEa4gO92VUL/O2radS8lm1WxZxCCHqj6IofLPqJHlFFQA8NKIVvl6uKkflmO4dFEOQr/mu4berE8grKlc5IsckBbKwmvIKI18tP4GCeZRTVjFb1+jezWjR2AeAxVvPcS69QOWIhBANxbYj6ew7ZV6E3b9jYzrFBKsckeNyd3Xm4RHmqRbFZQb+t0o2jLIGKZCF1SzYlMjFyvmwkwfHEODjpnJEjs1Jq+WR0W1w1Zmbyn+x7DjletmKWghhXRfzSvlh3ZXNn+4bFKNyRI6vVaQ/g7s2AeDwmWy2HU5XOSLHIwWysIpj53LYuD8VgE4xQcTHhakcUcMQ6u/BpDvNP5wyc0pYsvWcyhEJIRyZoij8b+UJyiuMaDUapt8Vh6uLLMKuDxP6tyAswAOAH9eflgXadUwKZFHnSsr0/HflCcC8UOPBYbJQoz71ad+I9lGBAKz+LZmkDJlqIYSwjm2H0zmZnAfAyPhImjfyUTegBsRF58S0UW3QaKCswsh/V56QXfbqkBTIos79uO40uYXmRQMPDovFx9NF5YgaFo1GwwNDY3F1cUJR4OuVJzEYTWqHJYRwMHlF5Zbd8hoFejCqVzN1A2qAWjT2YWS8eYH2yeQ8NuxLUTkixyEFsqhTx5Jy2H40A4D4uFC6xIaoHFHDFODjxsT+UQBcuFjE6j3JKkckhHA0P6w9RUm5AYA/DG+FzllKCjXc1bs5TUO8APMmLTkFZSpH5BjkahZ1Rm8w8u1qc+Nybw8d99/ZUuWIGraBncOJCjff7lyyLYnMnBKVIxJCOIr9py6xN8HctWJg53BiIvzUDagBc3bSVnaJgnK9ke/XnlI7JIcgBbKoM8t3nOdirnmRwH2DYvBy16kcUcOm1Wj4w/DWODtpMBhN/G/VSZmfJoS4bSVlBssubv7erpa7VUI9kWHelq4WB05nsb+y5Z6oPSmQRZ1Iyypm5S7z5hStI/3pGReqckQCIDzIk1HxzQBIuJDH1kNp6gYkhLB7P29KtGwIMnVoLO6uzipHJADG9m1OgI95c5bv156itHL6i6gdKZDFbTMpCnN/PYnRpODspOWBobHStcKGjIiPJDzIvL33go1nLAsohRCiphKSc9l00PyLdvfWIXSMDlI5InGZm4szkyunNuYWlrNY2nzeFimQxW3bfjidUyn5AIzuFUloZV9GYRucnbQ8OLwVGqC03MAPMj9NCFELeoOR//1qnlrh6eYs60xsUKeWwXSKMf/Ssm7fBWnzeRukQBa3paCkggUbr7T5GdYjUuWIxPVEh/tyR5cIAPadusThM9kqRySEsDe/7rlgWex776AYfKWFp02aPLilpc3nN6sSMJqkzWdtSIEsbsuCDYkUl5nnOT0wNFba/Niwcf1aWH6g/bjuFHqDfGkKIaonO7+MFTuSAGgZ4UvvdrI7qq0K8HFjfN8WAJzPLGTDvlSVI7JPUs2IWjuRlMOOyp7Hfdo3Irapv8oRiZtxd3XmnoHRAGTmlrLmN+mNLISonvkbE6kwmNBoYPIQWWdi6+7oEkFkmDcAC7eeJTtfeiPXlBTIolYMRhPfrzsNmLeTvlx4CdvWMy6UmAhfAJbtSJKG8kKIWzqelMPekxcBGNQ5giaVm1II26XVanhwWKy5N3KFkfnrT6sdkt2RAlnUysYDqaRlFQNw94Ao6XlsJzQaDZMHt0SjgQq9iR/XyZemEOLGDEaTZeMJbw8d4/o2VzkiUV3NwnwY0CkcgF3HMzl2Vtae1IQUyKLGCksqWFLZPiYyzJve7RupHJGoiaah3gys/NLcfTyTw4nSUF4IcX3r96WQnm1emDexfxQebjIYYk/G9W2Bp5u5T/UXi49gMslmUdUlBbKosUVbz1FS2YB88p0t0cpcNLsztm8Ly6j/54uOYDDKgj0hRFV5ReUs2WYeDGneyEcGQ+yQl7uOsZUL9s6m5rP5oGwWVV1SIIsaSc4sZPNB84rYnnGhRFfOZxX2xctdx8QB5u1hkzMKWbc3ReWIhBC25qeNZyirMKIBpgyRwRB7NaBTY8KDzZtF/bwpkZIyvcoR2QcpkEW1KYrCj+tOoyjgotMysX+U2iGJ29CnfSNaNPYBYNGWM+QXyQ57QgizUxfy2HnM3KWoX8fGNG/ko3JEoractFqmDIkFoLBEz9LtSeoGZCekQBbVti/hEgkX8gAYGd+MAB83dQMSt0Wr0TB1qPlLs7TcyC+bz6ockRDCFpgUhR/WmRfmebo5M75fC5UjErcrrnkA8e3MU2TM88qLVY7I9kmBLKqlQm9k/gbzjnlBvm4M7dZE5YhEXYgK9+XObk0B2H4kneTMQpUjEkKobefRDJIziwDzegVvD9kxzxE8PDoOnZMWo0nhx/WnURRZsHczUiCLavl1TzLZlT1z7x0UjYvOSeWIRF2ZMrwVLjotCjB/Q6J8aQrRgJXrjSzcYr6b1CjQgwGdGqsckagrYYGeDOtpHhA5ejaHw2ek7dvN2H2BvGPHDu6//346dOhA9+7dmTRpEps3b65yzsmTJ5k+fTpdunShQ4cOTJkyhT179lzzWikpKTz77LP06NGDdu3aMX78eNasWVNfH8Vm5RSUsXLneQBaNfWjc8tglSMSdSnQ152R8c0AOHE+lyPSK1OIBmvNnmRyC83rEe4eGI2T1u7LBHGV0b2b4edlviMwb/1p6WB0E3Z95W/YsIGHHnoILy8vPv74Y9577z1cXV2ZPn06q1atAiA5OZnJkyeTm5vL+++/z5w5c/Dy8uLhhx/m0KFDltfKz89n0qRJHD9+nFmzZvHf//6X2NhYnn766QZfJC/aetayxeikO1vKFqMOaETPSHwrvzQXbDyD0SRfmkI0NPlF5azcZd6CvlVTPzpEBaockahrbi7O3D3AvPNtZm4pmw6kqhyR7bLrAnn27Nk0a9aMzz77jH79+tG/f38+++wz/Pz8+PbbbwH47LPPMBqNfP755wwcOJD4+Hg++ugjgoKCmD17tuW15s6dy8WLF/nkk08YNmwY3bp146233qJ9+/a8//77an1E1V24WMSOI+aVzH3bNyZCthh1SK4uToyv7JWZllXM1kPpKkckhKhvi7edo1xvbut276AYGQxxUD3iQokM8wZg6fYkSsoMKkdkm+y2QFYUhccee4xZs2ah013Z2cfd3Z3IyEgyMjJQFIV169bRq1cvAgICLOe4uLgwZMgQdu/eTUFBAQBr164lNjaWmJgYy3kajYaRI0dy/vx5EhIS6u/D2ZCfNiWiYG7rNqaPbDHqyHq3a0REsPkXoMVbz1JaLl+aQjQUKZeK2HLIvIlEfNswSwElHI9Wo+GegeZR5KJSPat2n1c5IttktwWyRqNhxIgR9OzZs8pxvV7P+fPnadq0KWlpaRQWFlYpei+LiYnBZDJx6tQpDAYDZ8+eveF5ACdOnLDOB7Fhx5JyOHo2B4Ch3Zri7+2qckTCmrRaDfcOMn9pFpTIl6YQDcmCjYkoCuictdLWrQFoHelP+8opNGt+u0BO5SJ8cYWz2gHUtY8//pi8vDwmTZpEdrZ5sZG/v/81510+lp2dTUFBAXq9/qbn5eTk3PR9tVoNWm3d345yctJW+Wd9MSkKP286A4C3h45RvZvh7Gz7v0+plS979ft8dYgJon1UIIfPZLN6zwXu7NpE+l1XkmurZiRfNaNmvo6cybYMhgzv0ZSQAI96j6Gm5Pqqmevl6747YjhyNhu9wcTS7UlMG91GrfBskkMVyPPmzeOLL75g/PjxDBkyhL179wLmKRW/d3laRllZGeXl5dU672YCAjytOl/Lx8fdaq99PZv2XeB8hrkn7uRhrWkcZl9bStd3vuzd1fmaPq49T3+w0fylueM8z97fWcXIbI9cWzUj+aqZ+s6X0aTw0yZzVyc/L1cmj2iDh5vuFs+yHXJ91czV+fL39+TObk1ZuyeZbYfTuHtwLM1kx0QLhymQP/nkEz7++GNGjx7N3//+dwBcXc1TAvT6a/cdr6ioAMxzlqt73s3k5BRbbQTZx8edgoJSjPXUjqXCYOSbFccBCA3woHtsELm59rHrjhr5smfXy5ePmxP9Ooaz6UAqG/ZeYEDHRjQLky9NubZqRvJVM2rla/PBVJLSzWtxxvZtTnlpBeWlFfX2/rUl11fN3ChfI3s2ZfP+FCoMJr5cfJjn7uukYpT1w9/fs1rnOUSB/PrrrzNv3jymTZvG888/bxnJDQ429+u93vSIrKwsyzm+vr64uLjc8rybMZkUTCbrbbBgNJowGOrnS2DN7gtk5ZtHzCf0awEK9fbedaU+8+UIfp+vMb2bsfNoBuV6Iws2JDLzno7qBWdj5NqqGclXzdRnvvQGIwsrt5hvHORJ73Zhdvf/Sq6vmvl9vnw8XBjcrQkrdp7nUGI2R85k0zry2ummDZHdT96ZPXs28+fP55VXXuHPf/5zlWkOYWFh+Pv7X7cDRUJCAjqdjpYtW+Lk5ERMTMwNzwOIi4uz3oewIcVlelbsTAIgqrEPXWJlU5CGyNfLlSGV24kfPZtDQnKuyhEJIeraxv2plk1BJvRrIZuCNFDDe0Ti5W6eVvPTxkRMspsqYOcF8rp165gzZw7PPfccDzzwwHXPGTp0KDt27ODSpUuWYyUlJaxZs4Z+/frh6Wkeah82bBinTp3i5MmTlvNMJhPLli2jVatWNG/eMFqcrdh5nuLKnoh3D4yWPpgN2NDuTfF0M99k+nnzGdmCWggHUlpuYHnlDqlRjX3oGBOkckRCLR5uztzVuxkASRmF/HbioroB2Qi7LZANBgNvv/02ERER9OjRgyNHjlzzp6Kigscffxx3d3dmzJjBpk2b2L59O48//jilpaXMnDnT8npTpkwhMjKSp556itWrV7N7926ee+45zpw5w4svvqjiJ60/OQVlrNubAkCnmCBaNvFTNyChKg83Z8sW1GdSCziUKFtQC+EoVu9JpqjUvO5mfP8oGQxp4AZ0CifEz7zWauGWM7IFNXY8BzkjI4MLFy4AcPfdd1/3nPXr1xMREcEPP/zAe++9x8yZM1EUhY4dOzJ37lyio6Mt53p4ePDtt9/y7rvv8tprr1FaWkqbNm34/PPPiY+Pr5fPpLZlO5IwGM1bSk/oH6V2OMIGDOocztq9F8gtLOeXLWdoHxVolcWoQoj6U1BSwerfzD8/45oHyJxTgbOTlvH9WzBnyTEu5ZWx7XA6AzqFqx2Wquy2QI6IiKj27nZRUVHMmTPnlueFhobywQcf3G5odikzt8SyvXCvuDAaB1VvladwbC46J+7q3Yxvfk0g9VIxu49nEt82TO2whBC3YcWO85RXGAGY0F82BRFmXVuF0GTneS5cLGLp9nP0ahuGi85J7bBUY7dTLETdWrLtHCZFwUmr4S7ZUlpcpU/7RoRWbhywaOtZufUmhB3Lzi9j4wHzVLquscHSwlFYaDUaxlXuophXVMHGA6kqR6QuKZAFKZeK2H0sE4B+HRsT7CeN18UVTlot4/qaf2nKyi9jy6E0lSMSQtTWku3nMBgVNBosxZAQl3WICiSqsfmXphU7z1NablA5IvVIgSxYtOUsCqBz1jKqclGWEFfr2iqEpqFeACzbnmS5PSuEsB/p2cVsP2KeStenXSMaBcpUOlGVRqNhfOUvTkWletbuvaByROqRArmBO5dewIHT5s1Q7ugSgb+3q8oRCVuk1WiYWLlwM7+4gnX7Gu6XphD2auGWsyiKeUHWGJlKJ26gdbMrCzev7nbS0EiB3MAt3GLeRcnNxYkRPSNVjkbYsrjmAcRWtv5buSuZkrKG+aUphD1KyihgX4J5P4BBncMJ8HFTOSJhy8ZXLt4sLTfy6+5klaNRhxTIDVhCci7Hzpm31x7avallJx0hrkej0Vja/5WWG1jzm4wiC2EvFm89B4CrixMj4mUwRNxcVGNfOkabN49Zt/cC+UXlKkdU/6RAbqAUReGXytFjL3edZVthIW4mOsKXti0CAFjz24UGe+tNCHtyJi2fw2fMG/0M7hqBj4eLyhEJezCuXws0QIXBZNl1sSGRArmBOnI2h8SUfACG92yKu6vdtsQW9WxsH/Ott7IKI6v3NMxbb0LYkyXbzKPH7q5ODOnWVOVohL1oEuJFt9YhAGw+mEpWfqnKEdUvKZAbIEVRWLTVPHrs6+XCoM4RKkck7EmLxj50iAoEYN3eFApLKlSOSAhxI4kp+Rw9a55KN7hrE5lKJ2pkbN8WaDUaDEaF5TuS1A6nXkmB3AAdSszmfEYhAKPim+HagHfKEbUztq95FLlc33AXcAhhDxZvMw+GuLs6y1Q6UWNhAR70qtw9dfuRDC7lNZxRZCmQGxhFUSy32/y9XenXoZHKEQl7FBnmTacY8wKO9ftTyC+WUWQhbE1Cci7Hk3IBGNq9CR5uMnosam5U72ZoNRqMJoUVO5PUDqfeSIHcwBxMzOJ8pnn0eETPSHTOMnosaudyH9UKvYlVuxreAg4hbN3lwRBPN2cGd5XRY1E7IX7u9GrX8EaRpUBuQK4dPW6sckTCnjUN9aZrbDAAGw+kktcA2wAJYatOnM/lZHIeAMN6yEJscXtG9WqGk9Y8itxQ5iJLgdyAHEzMIjmzCICR8ZHonOV/v7g9d/VpjgbQG0yslFFkIWyCoigs3nqljacsxBa3K8TP3TIXecfRDC42gFFkqZAaiN+PHvdtL6PH4vZFBF9pA7TpQBq5hTKKLITajiflclraeIo61tBGkaVAbiAOnr4yejxKRo9FHbqrt3kU2WA0sbwBLeAQwhYpimLpXOHjoWNQJxk9FnUj2M+d3pVzkXcccfxRZKmSGoCrR48DfFzpI6PHog41DvKkR1woAFsPySiyEGo6npTLmdQCAIb3jMTVRRZii7ozMt48imxSFJZvT1I7HKuSArkBOHA6i+SLl+ceN5PRY1HnRvdqVjmKrEhHCyFUoigKS7abB0N8PHQM6BSuckTC0VQZRT6awcXcEpUjsh6plBycoigsvXr0uJ30PRZ1r1Gg55UtSQ+lSUcLIVRwMjmPxMq5x8N6RMomUMIqRl09irzDcQdEpEB2cFePHo+S0WNhRaN7NQPMHS1kdz0h6t+yytFjL3cdAzrJVDphHUF+7vSuHGxz5FFkqZYcmKIoLN1+9dxjGT0W1hMe7GXpi7zpQCoFsrueEPUmIflK3+Oh3Zvg5iKdK4T1jIqPtIwir9jpmKPIUiA7sMNnsi2dK0b0jMTZSf53C+saVTmKXGEwsXqPjCILUV+WVbbd8nRzlr7HwuqC/NyJv6ovcla+43W0kIrJQSmKYvnC9PVyoa+MHot60DTUm04xQQBs2J9KYYmMIgthbYkp+RxPygVgSLcm0vdY1IuR8ZFoNGA0Kaza5XgDIlIgO6jjSbmcTats9dMjEp2zLNYQ9eOu3s0BKNcbWfPbBZWjEcLxLd1hnkrn7urMHV2aqByNaChC/T3o2aayxedhx2vxKQWyg1p2Vauf/h1lsYaoP5Fh3nSICgRg/b4Uikr1KkckhOM6m1bA0bM5AAzuGoGHm4wei/oz6uoWn7sday6yFMgOKCE5l1OVrX6Gdm8qrX5EvRtdOYpcVmFk3V4ZRRbCWi4Phri5ODG4m4wei/rVKNCTrq0qW3weTCPfgRZnS4HsgJZW7m7j6eYsjeKFKlo09qFtiwAA1u5NoaRMRpGFqGvnMwo5dCYbgDu7RuDpplM5ItEQXd3i05EWZ0uB7GASU/M5cV4Wawj13dXLPIpcWm5g3b4UlaMRwvFcXojtqnNicFcZPRbqiAjxsizO3uhAi7OlQHYwyypHj2WxhlBbdIQvrSP9AVj72wXKKgwqRySE40i5VMT+U5cAGNg5HG8PF5UjEg3Z6N7NAPPi7LUOMq1OCmQHci69gCNnK2+3dZHFGkJ9l/siF5cZ2HQgTd1ghHAgKys3Z9A5axkqc4+FypqF+dD+qsXZjjCtTgpkB7L88u02WawhbESrpn5EhfsAsHpPMnqDUeWIhLB/mbkl7D6RCUC/9o3x9XJVOSIhrgyIlJYbWbfX/qfVSYHsIFIuFnHgdBYAgzqF4+UuizWE+jQajWUBR35xBdsOp6sbkBAOYOXO8ygKOGk1DOvRVO1whAAgOvyqaXV7L1Babt/T6qRAdhDLdyYB4OKsZWh3+cIUtqNdi0CahnoBsHJXMgajSeWIhLBf2fll7DiaAUCvtmEE+rqpHJEQV9xVORe5uMzA5oP2Pa2uTgpkvV6Poih18VKiFjJzSvjt5EUA+nVojI+nLNYQtkOj0TAqvhkA2QVl7DqWqW5AQtixX3cnYzQpaDQwIj5S7XCEqKJlEz+iI3wB+59WV+sC+eLFi7z22mv069ePDh06sHfvXstjn3zyCSkp9j//xF6s3CW324Rt6xwbTKNADwBW7DqPySS/UAtRU/nFFWw5bB6V6946lFB/D5UjEqIq84CI+Re3/OIKttrxtLpaFcgXL17k7rvvZsGCBRQVFVUZPc7JyeHTTz9l8uTJZGRk1Fmg4vpyCqrebgvwkdttwvZoNRpGVn5pZuaUsDfhosoRCWF/1uxJRm8wT1EaKaPHwkZdPa1ulR1Pq6tVgTxnzhzy8vL48MMPWb9+fZUCOSAggP/+978UFBTw73//u84CFde3Sm63CTvRo00oQZXzJZfvOC/TsoSogaJSPRsOpALQKSaIiGAvlSMS4vp+P61u93H7nFZXqwJ5y5Yt3H333YwYMQJn52t77cbHx3P33XezdevW2w5Q3FhBcQVbDsntNmEfnLRayy9xKZeKOJSYrXJEQtiPdXsvUF5hns95uZ2WELaqyrS6nfY5ra5WBXJmZiZt27a96TlxcXFcvCi3Ua1pzW8Xrtxu6ymjx8L29W7bCH9vc8/WZTuSZBRZiGooLTdY+srGNQ+geSMflSMS4ua0Gg0jKuuSjJwS9lXu+mhPalUgu7q6Ul5eftNzcnNzcXd3r1VQ4taKy/Rs2G/+wuwYHUREiNxuE7ZP56xlWGUbwnPpBZw4n6tyRELYvk0HUimp7Ck7WkaPhZ2oOq3O/gZEalUgt27dmhUrVtzw8ZycHL777jtat25d68DEza3fl0KZ3G4Tdqhfx8aWjWxWVG6XK4S4vgq9kdW/XQAgJsKXlk381A1IiGpydtIyvLKz1oWLRRw5a1/T6mpVIE+ePJk9e/bw9NNPs3v3bgCSkpLYsmULH374IaNGjSI1NZXJkyfXabDCrKzCwNrKL8w2zfxp0Vhutwn74apzYkjlVugnzudyJjVf5YiEsF3bjqRTUFwByGCIsD992jfC18u8N4O9Lc6uVYE8bNgwnnjiCdauXctTTz0FwGuvvcajjz7KF198QW5uLk888QRDhw6t02CF2eaDaRSXmW+3XV4pKoQ9GdQ5HDcXJ0BGkYW4EYPRxK+7kwFoGupF2+YBKkckRM3onJ0Y2s08ipyYmk9Ccp66AdXAtS0oqumpp55ixIgRLFu2jMTERIqLi/Hy8qJly5aMGDGCqKiouoxTXOXyBRYV7kNsUz9VYxGiNjzcdAzqHMHKXec5mJhFyqUiaVslxO/sOZFJVn4ZYB4M0Wg0KkckRM0N6NSYFTuTKC4zsGJnEq0i/dUOqVpqXSADREVF8cwzz9RRKKK6RvVqho+njhHyhSns2OBuTVi719yJZeWu80wfHad2SELYDJOiWO6uhAV40LllsMoRCVE7bi7ODO7ahMXbznEsKZdz6QV20Yml1ltNC/W0aOzDH4a3JsRPuoQI++Xr6UK/9o0B2H08k4t5pSpHJITtOHAqi/TsEgBG9IxEq5XBEGG/BnWJwLVyWt1KO5lWV6sR5Op2p9BoNBw/frw2byGEaACG9mjCpoOpGE0Kv+46zwPDWqkdkhCqUxSFFTuTAAj0caVnXKi6AQlxm7zcdQzsGM6ve5LZd+oSaVnFNA7yVDusm6rVCLKPjw++vr7X/HFzc0NRFBRFISYmRtq8CSFuKsjX3fLDf9uRdHILb95fXYiG4Pj5XJIyCgEY1iMSZye52Svs35DuTXB2Mt8JWbXL9keRazWCfLm12/VkZmby3//+l/379/P111/XOjAhRMMwomckO45kYDAqrPktmXsHxagdkhCqWrEjCQAfDx192zdSNxgh6oiflyt92jVi08E0dh3PZEzf5gT52u5U0Tr/tTQ0NJSXXnqJiIgI3nvvvbp+eas7efIk06dPp0uXLnTo0IEpU6awZ88etcMSwmE1CvSkS6x5AdKmA2kUlepVjkgI9ZxOyeNkZaeiwd2a4KJzUjcgIerQsJ6RaDRgNCms3n1B7XBuymr3bfr06cPGjRut9fJWkZyczOTJk8nNzeX9999nzpw5eHl58fDDD3Po0CG1wxPCYY2s7Oddrjeybq9tf2kKYU3LtycB4O7qxMBOEeoGI0QdC/Fzp0cb87S6LYfTyK/cBMcWWa1ALisrIycnx1ovbxWfffYZRqORzz//nIEDBxIfH89HH31EUFAQs2fPVjs8IRxWZJi3ZROE9ftSKC03qByREPUvKb2AA6ezABjUOQIPt9vqxCqETRrRMxIAvcFk2RXYFtV5gVxaWsq+ffv4+uuvCQkJqeuXtxpFUVi3bh29evUiIODKbkUuLi4MGTKE3bt3U1BQoGKEQji2kfHmL83iMgObD6apHI0Q9e/n9acBcHHWMrhrE5WjEcI6IoK96BgdBMDGAymUlNnmtDqrtXlTFIUXX3yxNi+virS0NAoLC4mJuXaBUExMDCaTiVOnTtG1a1cVohPC8bVs4kd0hC+JKfms/i2ZO7pEoHOW1fuiYcjMKWHrwRQA+nZojI+ni8oRCWE9I+MjOZiYRWm5kQ37UxnVq5naIV2jVgVyo0Y3XlWr0+kICQlh2LBhTJo0qdaB1bfs7GwA/P2v3QLx8rHL51yPVquxSiN3p8r2Pk7S5qdaJF81Y2v5uqt3cz6cf5D8ogp2Hc9gYGfbmYNpa7mydZKvmlm1OxmTAk5aDSN7NcNZfjm8Kbm+asbW8hUb6U/rSH9OnM9l7d4LDI+PxNXGFqTWqkDesGFDXcehuooK80RxF5drf2vX6XSAeV71jQQEeFp122cfH9tthWKLJF81Yyv5GtDNg4VbzpKUXsCq3cmMGRBjM1/ol9lKruyF5OvWsvNL2VI5rWhAlwhimgWqHJH9kOurZmwpX5OGteLVz3dSWKKnRK8QFmJbG4fICoBKrq6uAOj1186FuVw8u7vf+MLKySm22giyj487BQWlGI2mOn99RyP5qhlbzNeInk35bNFRMrJLWL3jHPFtw9QOCbDNXNkyyVf1zV93CoPRhEYDw7o3JTe3WO2QbJ5cXzVji/lqGuTBA8NiKS7V4+vuVG/Xvb9/9QrxahXIixcvrnUgY8eOrfVz61NwsLkP6/U6b2RlZVU553pMJgWTSbFOcIDRaMJgsI2L2h5IvmrGlvLVOSaYEH93LuaWsmz7ObrGBlv17kxN2VKu7IHk6+aKSvVs2JcKQHy7RoT6u0u+akCur5qxtXwN6BgOgMmoYMJ6NVRtVKtAfvHFF2v8A0pRFDQajd0UyGFhYfj7+5OQkHDNYwkJCeh0Olq2bKlCZEI0LFqthhE9I/nfqpOkXCrm0Jlsy4pnIRzN+n0plOuNANw9SH7GCGErqlUgP/HEEzY1gmMtQ4cOZdGiRVy6dMkyWlxSUsKaNWvo168fnp62NT9GCEcVHxfG4q1nySuqYMXOJDpEBTaI7yDRsJRVGCwb47RtEUB0Ez+ZXiGEjahWgfzUU0/V+IVLSkooLS2t8fPU9Pjjj/Prr78yY8YMnnrqKXQ6Hf/5z38oLS1l5syZaocnRIOhc9YyrHtT5m1I5ExqAacu5BHb9NoOM0LYs80H0yguM2+Kc1fv5ipHI4S4mtWWh69bt47x48db6+WtIjQ0lB9++IHg4GBmzpzJk08+iUajYe7cuURHR6sdnhANSr+OjfGs3Els+c7zKkcjRN3SG0ys3pMMQFS4D7FN/dQNSAhRRa27WJSVlbF27VpSU1MxGKpuC1teXs6aNWvscue5qKgo5syZo3YYQjR4bi7ODO7ahMXbznHsXA5JGQU0C/NROywh6sSOo+nkFZk7JI2MbyZTiISwMbUqkDMzM5k8eTKpqamWxXjANf9uLwv0hBC2aVCXCFbtSaa8wsiKned5Ylw7tUMS4rYZTSZW7TKPHkcEe9IhSvoeC2FralUg//Of/yQtLY3x48cTGRnJhx9+yNSpUwkMDGTHjh0kJCTwzjvvMGDAgDoOVwjRkHi56xjYMZxf9ySzP+ESaVnFNA6SxbLCvv128iIX88xrdEbER8rosRA2qFZzkHfs2MGkSZN48803uf/++wEYMmQIM2bMYO7cufzlL3/hb3/7GxcvXqzTYIUQDc+Q7k1wdtKiACt3yVxkYd9MisKKyjn1If7udG8VqnJEQojrqVWBnJ2dTfv27QEsv/kajUbL4xMmTKBbt27Mnj27DkIUQjRkfl6u9G3fCIBdxzLJyrOv7jhCXO1QYhapl8yt3Eb0jLTKDqxCiNtXqwJZp9NZFuZ5eHig1Wqv2YEuPj6e7du3336EQogGb1iPpmg1GkyKwqrKlf9C2BtFUVi+wzx67O/tSnycbWyjLoS4Vq0K5ObNm7N69WrzC2i1BAQEsGHDhirnZGVlUVhYePsRCiEavGA/d3q0Md+K3noonfyicpUjEqLmTp7P5Vy6ubvT0O5N0TlbrdOqEOI21epv5/Dhw9m8eTOPPvooAL1792bFihW89tprrF27lq+//povvviCFi1a1GmwQoiGa2R8JBrAYDSx+rcLaocjRI1d7uft5a6jf4fGKkcjhLiZWnWxeOihh0hMTKSkpASAp59+mu3bt7NgwQJ++uknFEXB2dmZp59+uk6DFUI0XI2DPOncMph9py6x8UAqI3pG4uWuUzssIarlTGo+J87nAjC4WxNcXZxUjkgIcTO1KpCTkpJ45513LPOQw8PDWbp0KQsXLuTChQsEBwczfPhwoqKi6jRYIUTDNiI+kn2nLlFeYWTDvhTu6iPb8wr7cLlzhZuLE3d0Dlc5GiHErdSqQB41ahTt2rVj3LhxjBw5El9fXwICApg2bVpdxyeEEBbNG/kQ1zyAY+dyWLv3AkO6N8HNpdYbggpRL1IuFnEwMQuAQZ0j8HCTOx9C2LpazUHu2rUrR48e5e9//zt9+/blT3/6E5s3b8ZkMtV1fEIIUcWo+EgAissMbDqQpnI0Qtzaisr+3TpnLUO6NVE5GiFEddRq6OW7774jMzOTZcuWsXz5clavXs2aNWsIDAxk9OjRjBs3jpYtW9Z1rEIIQcsmfkRH+JKYks/qPcnc0SUcnbPM5xS2KTO3hD0nMgHo16ExPp4uKkckhKiOWveYCQ0NZdq0aSxevJiVK1cyY8YMPD09+frrrxkzZgzjx4/nu+++q8tYhRACjUZjGUXOL65g2+F0lSMS4sZW7TqPooCTVsOw7k3VDkcIUU110oSxRYsW/OlPf2L16tX8/PPPTJ8+nYsXL/LWW2/VxcsLIUQV7VoE0jTUCzBvP20wyvQuYXuy88vYfiQDgF5twwj0dVM5IiFEddVpl/IDBw6wfPly1qxZQ1ZWlmUbaiGEqEsajYbRvZoBkF1Qzs5jGeoGJMR1rNp9HqNJQaMxd2ARQtiP217+ffjwYVatWsWvv/5KRkYGiqIQHR3NzJkzueuuu+oiRiGEuEanlsE0DvIkLauYFTvP07ttI7Ra+aVc2Ia8onK2HDJP/+nRJpRQfw+VIxJC1EStCuTjx4+zatUqVq1aRWpqKoqiEBQUxAMPPMCYMWNo06ZNXccphBBVaCvnIn+x7DgXc0vZczKTnm3C1A5LCABW70m2TP0ZGd9M3WCEEDVWqwJ5/PjxALi5uTFixAjGjBlDnz590GplX3khRP3p1jqExdvOcTG3lBU7ztO9dShamdolVFZYUsHGA6kAdIkNJjzIU+WIhBA1VasCuUePHowdO5YhQ4bg6Sl/8YUQ6nDSahnZM5KvV50kNauYA6ey6BIbrHZYooFbu/cCFXrz6PEoGT0Wwi7Vasj3m2++Ydy4cVIcCyFUF982jEAfVwCW70hCURSVIxINWUmZnvX7UgBoHxVIZJi3yhEJIWpD5kQIIeyas5OW4T3NHQLOZxZy5Gy2yhGJhmz9vhRKy40Alk4rQgj7IwWyEMLu9W3fCN/KHcqWbZdRZKGOsgoDa367AECbZv5EhfuqHJEQorakQBZC2D2dsxPDeph3KTuTVsDJ87kqRyQaok0H0iguMwAyeiyEvZMCWQjhEAZ0DMfLXQfAsh1J6gYjGpwKvZFf9yQDEBPhS8smfuoGJIS4LVIgCyEcgquLE0O6NQHgZHIepy7kqRuQaFA2H0yjoLgCgFG9mslOskLYOSmQhRAO444uEXi6mbtXLtl2TuVoRENRoTeycvd5AJo38qFt8wCVIxJC3C4pkIUQDsPd1ZnBlaPIJ87nyiiyqBebD6WRX2QePR7TR0aPhXAEUiALIRzKnV2a4OFqHkVeul1GkYV16Q1GVu26PHrsTbsWgSpHJISoC1IgCyEcioebs2Uu8vGkXBJT8lWOSDiyLYfSyascPb6rd3MZPRbCQUiBLIRwOHd2jcC9chR5iYwiCyvRG0ysrBw9bhbmTfsoGT0WwlFIgSyEcDgebjoGd40A4Ni5HM6kyiiyqHtbD6eRW1gOyOixEI5GCmQhhEMa3K0J7q5OgIwii7qnN5hYsdM8ehwZ6k2HaBk9FsKRSIEshHBInm467uxinot89GwOZ9JkFFnUnW1VRo+lc4UQjkYKZCGEwxrcrQluLuZR5KXbktQNRjgMvcHEisq5x01DvOgYE6RyREKIuiYFshDCYXm567izci7ykbPZnE0rUDki4Qi2H0knp8A8ejxa5h4L4ZCkQBZCOLQh3ZpaRpFldz1xu8xzj5MAaBLiRaeWMnoshCOSAlkI4dDMo8jmuchHzmZLX2RxW7YcSiO74ErnCq2MHgvhkKRAFkI4vKHdm1j6Ii/aelblaIS9qtAbWV45ehwZ5k1nGT0WwmFJgSyEcHiebjqGdTePIp84n8uJ87kqRyTs0cYDqeRX7po3rm8LmXsshAOTAlkI0SDc2bUJXu46wDyKrCiKyhEJe1JWYbD0PY4K96FdiwCVIxJCWJMUyEKIBsHd1ZnhPZsCkJiSz7FzOSpHJOzJ+n0pFJXqARgvo8dCODwpkIUQDcagzhH4eLoAsHCLjCKL6ikp07NqVzIArZr60bqZjB4L4eikQBZCNBiuOidGxkcCkJRRyMHTWSpHJOzBmt8uUFJuAGBs3xYqRyOEqA9SIAshGpQBHRvj7+0KwKKt5zDJKLK4iaJSPWt+uwBA2+YBtGzip25AQoh6IQWyEKJB0Tk7MbpXMwBSLhWx9+RFdQMSNm3V7vOUVRgBGNdPRo+FaCikQBZCNDh92jciyNcNMO+uZzLJKLK4Vn5xBev3pQDQKSaI5o18VI5ICFFfpEAWQjQ4zk5a7urdHID07BJ2HstQOSJhi1bsSKJCbwJk7rEQDY0UyEKIBim+bSiNAj0AWLz1LHqDUeWIhC25mFfKxgOpAHRvHUKTEC+VIxJC1CcpkIUQDZKTVsv4flEAZBeUs2F/qsoRCVuyeOtZjCYFJ61G5h4L0QBJgSyEaLA6twwiqrF5XunyHUmUlBlUjkjYguTMQnYdywSgX8fGhPp7qByREKK+2W2BXFhYyDvvvEPfvn1p27YtQ4YM4Y033iA3N7fKeUajkX//+98MGTKEtm3b0r9/f9555x3Kysquec158+YxatQo2rZtS69evXj11VeveT0hhOPQaDRMHGAeRS4uM7Bq93mVIxK24OfNZwBz3+y7KjueCCEaFrsskPV6PdOmTeOnn37ikUce4euvv+b+++/nl19+4cEHH8RovDKX8I033uCTTz5h3LhxfPPNNzz22GPMnz+fZ599tsprfvnll7z++uv06dOH//3vf7z00kts3LiRP/7xjxgMMqokhKOKbepP+6hAANb+doG8onKVIxJqOnE+l6NnzduQD+nWBF8vV5UjEkKowVntAGpjw4YNHDx4kLfffptx48YB0K1bN/R6PR988AF79uwhPj6eCxcu8OOPP/Lwww/z2GOPAdClSxdMJhOzZs1i7969dO3aleLiYj799FOGDRvGiy++aHkfHx8fpk+fzooVKxgzZowqn1UIYX0T+0dx5Ew2FQYTS7ed44FhrdQOSahAURR+3pQIgJe7jmE9mqockRBCLXY5ghwdHc2bb77J4MGDqxxv1cr8Qy09PR2A9evXoygKo0ePrnLeyJEj0Wg0rFu3DoAdO3ZQUlJyzXn9+vXDz8/Pcp4QwjFFhHgR3zYMgC2H0snIKVE5IqGGfQmXOJdeCMDoXs1wd7XLMSQhRB2wywI5KiqKiRMn4uVVte3O2bNnAWja1Pxbf0JCAhqNhqioqCrn+fr6EhISwokTJyznAcTExFQ5T6PR0KJFC8t5QgjHNbZvc5ydNJgUhYWVc1BFw2Ewmvhli/lnSJCvGwM6hasckRBCTQ7z63FmZiZz5syhVatWdOnSBYDs7Gy8vLxwcXG55nx/f39ycnIs510+dr3zTp48ecv312o1aLWa2/kI1+XkpK3yT3Fzkq+akXxdERboyR1dm7B6dzJ7Ey5xPrOQqHBfy+OSq5qxt3xtOZRGZuWdgwkDonB3q98fj/aWL7VJvmpG8lVzNlUg6/V6kpOTb3qOt7c3ISEhVY5lZ2czY8YMKioqeO+999BozIVqeXn5dYtjAJ1OR35+vuU84Lrn6nQ6y+M3ExDgaXlfa/DxcbfaazsiyVfNSL7Mpo5ow9ZDaZSUGVi45RxvPtbrmr/XkquasYd8lZUbWLr9HADNGvkwok+UVQY8qsMe8mVLJF81I/mqPpsqkDMzMxkxYsRNzxk3bhxvv/225b+Tk5OZNm0aubm5fPnll7Rs2dLymJubG3q9/rqvU1FRgZubm+U8MBfol//9eufdTE5OsdVGkH183CkoKMVoNNX56zsayVfNSL6uNaJnJD9vOsORM1ls2HOezi2DAclVTdlTvhZuPkNOgXkgZEL/FuTn1/8cdHvKly2QfNWM5OsKf3/Pap1nUwVyRESEZT5wdZw8eZKHH34YNzc3fvzxR6Kjo6s8HhQURGFhIRUVFdeMDmdnZ1sW9QUFBQGQk5ODt7f3NecFBwffMhaTScFkUqode00ZjSYMhoZ9UdeE5KtmJF9X3NElgvX7UsgtLOfHtadoE+mP81W3JSVXNWPr+copKGPlTnP/6zbN/GkT6a9qvLaeL1sj+aoZyVf12e1klNTUVKZNm0ZgYOB1i2OA1q1boygKp0+frnI8KyuLrKws4uLiLOcB1xTnRqORxMRE2rZta6VPIYSwNa46J8vmIZm5pbIFtYP7ZfMZKgwmNBq4b1CMVafKCSHsh10WyEajkaeffhoXFxe+/vprQkNDr3ve4MGDcXZ2ZsmSJVWOX/7v4cOHA9CrVy98fX2vOW/t2rUUFxdbzhNCNAw92oTSvJF5C+ql285RVHr9qVrCvp1NK2Bn5ZbS/Ts0JiLE6xbPEEI0FDY1xaK6Fi1axNGjR5k5cybp6emWvseX+fv7ExERQWhoKA8//DBfffUV/v7+dO/enWPHjvHRRx8xfvx4y8ixq6srM2fO5PXXX+ett95iyJAhJCcn884779CzZ0/uuOMONT6mEEIlWo2G+++I4a3v9lFSbmDJ1nM8OEI2D3EkiqIwb7357qK7qxNj+7ZQOSIhhC2xywJ57969AHz44Yd8+OGH1zx+9UK+mTNn4uvry4IFC/j0008JCQnhj3/8o2Vnvcvuu+8+y4j0Dz/8gJ+fH6NHj+aZZ56RW25CNEDREb50bx3CnhMX2XgglTu7RVR7cYewfb+dvEhiqrmT0ahezfDxvH7HIyFEw6RRFMV6K8sakEuXCq3yus7OWvz9PcnNLZaJ9dUg+aoZydfNZeWX8sp/dqM3mGgfFcibj/eRXFWTLV9bFXojr/xnF9kF5QT7ufHGtJ7onNWdcWjL+bJFkq+akXxdERzsfeuTsNM5yEIIUR+CfN0Z0q0JAIfPZLPvZKbKEYm6sOa3C2RXtnW7Z2C06sWxEML2yLeCEELcxIiekfhW3n7/aulRjKaGPfpi7/KKylmxy9zWLbaJn6XPtRBCXE0KZCGEuAl3V2fG9zMv4LqQWcSGfdL2zZ4t3HKW8gojGuC+O6StmxDi+qRAFkKIW+jdrhGRYeZ5a79sPkNBcYXKEYnaOJOaz7bD5q5HV/8/FUKI35MCWQghbkGr1TB1aCwAJWUGftqYqHJEoqaMJhPfrjZvBuXu6syEys1ghBDieqRAFkKIamjZxI/B3ZsCsP1oBgnJuSpHJGpiw/5Uki8WATChfwvLvHIhhLgeKZCFEKKaHhzZBk83c/v479acwmCUBXv2IK+onEVbzgIQGebNgI7hKkckhLB1UiALIUQ1+Xq5cs+gaABSs4pZtzdF5YhEdSzYkEhZ5cK8qUNi0WplYZ4Q4uakQBZCiBro3ymc5o18AFiy7Rw5BWUqRyRu5kRSDruOm/tX9+8UTovGPipHJISwB1IgCyFEDWg1Gh4YGotGA+V6I/PWn1Y7JHEDBqOJ79aeAsDLXWdp1yeEELciBbIQQtRQZJg3gzpFALA34RJHz2arHJG4ntV7kknPLgHMO+Z5uetUjkgIYS+kQBZCiFoY1685PpWdEL5bewq9wahyROJqWfmlLNueBEBMhC+92oWpG5AQwq5IgSyEELXg4abj3oHmBXsXc0tZWlmMCfUpisK3q09RYTCh1WjMC/NkxzwhRA1IgSyEELXUMy6U1pH+AKzalUxSRoHKEQmA7UcyOFI57WVI9yZEhHipHJEQwt5IgSyEELWk0Wh4aHgrXHVOmBSF/644Ib2RVZZbWG5ZOBka4MHYPs1VjkgIYY+kQBZCiNsQ5OfOxMpti1MuFbN8R5K6ATVgiqIw99eTlJQb0AB/HNEaF52T2mEJIeyQFMhCCHGbBnYOJ7aJHwArdp4nObNQ3YAaqF3HMjl0xjy14s6uTYiO8FU5IiGEvZICWQghbpNWo+EPI1rh4qzFaJKpFmrILyrnh3Xmnschfu6M7y89j4UQtScFshBC1IFQfw8m9DdPtUi+WMSqXedVjqjhUBSFb9ecorjMAMBDI8zzwoUQorakQBZCiDpyR9cIy239pduTSLlUpHJEDcNvJy+y/9QlAAZ1Die2qb/KEQkh7J0UyEIIUUe0Gg0Pj2iNTqZa1Jv84gq+W2OeWhHk62ZZMCmEELdDCmQhhKhDYQEejOtrnv+alFHIoq1nVY7IcZkUhS+XH6eoVA/AH4a3ws3FWeWohBCOQApkIYSoY0O6NaFVUz/AvIHIsXM56gbkoFbvuZLbwV2b0KZZgMoRCSEchRTIQghRx7RaDY+MjsPLXQfAf5YfJ7+4QuWoHMvZtAIWbjaPzkeGesvUCiFEnZICWQghrMDf25WHR7YGoKC4gi+XH8ekKCpH5RhKygzMWXIUo0nB1cWJGWPi0DnLjzMhRN2RbxQhhLCSjtFBDO7aBIBj53JYvSdZ5Yjsn6IozF19kqz8MgCmDmlJaICHylEJIRyNFMhCCGFFEwdE0TTUC4CFm89yNq1A5Yjs27bD6ew5cRGA+LgwerVtpHJEQghHJAWyEEJYkc5Zy4wxbXHVOWE0KXy+9Cil5Qa1w7JLaVnFfF+5W16ovztThrRUOSIhhKOSAlkIIawsLMDDUsxdyivj65UnUGQ+co2UVZjnHVfoTThpNcwY0xZ3V2npJoSwDimQhRCiHvRu14j4uDAA9iZcYtn2JHUDsiMmReE/y46TcqkYgLsHRhMZ5q1yVEIIRyYFshBC1JMHhsUSGWou7BZvO8fekxdVjsg+LN56jgOnswCIjwtlcNcIlSMSQjg6KZCFEKKeuOqceGpCO3w9XQD4csVxkjMLVY7Ktu05kcnyHUkANG/kwx+Gt0Kj0agblBDC4UmBLIQQ9SjAx40nx7fD2UlLhd7ER78clk1EbuBcegFfrTgBmPtKPzWhHTpnJ5WjEkI0BFIgCyFEPYsK9+UPw2MByCko59OFR9AbTCpHZVvyisr5pDIvOmctT45vh5+Xq9phCSEaCCmQhRBCBb3aNmJ4j6YAJKbm8+3qBOlsUUlvMPLxL0fILSwH4I8jW9O8kY/KUQkhGhIpkIUQQiUT+kfRPioQgG1H0qWzBWA0mfhi2XHOpZs3VBnVqxndW4eqHJUQoqGRAlkIIVSi1Wp49K44woM8AXNni193N9ztqE2Kwn9XnGBfwiUAOrcMZmzf5ipHJYRoiKRAFkIIFbm7OjPz3o6E+LkDsGBjIhv3p6gcVf1TFIVvVyew81gmAK0j/Xn0rjZopWOFEEIFUiALIYTK/L1def7+jgT4mBehfbvmFNuPpKscVf1RFIUf159m88E0AGIifHl6QnvpWCGEUI0UyEIIYQOCfN35832dLD2S/7vyBHtOZKocVf1YuOUs6/aaR82bhXnzzN0dcHWR4lgIoR4pkIUQwkaEBnjw/H0d8XLXoSjwn2XHOXD6ktphWdWyHUms2HkegIhgT2be2xF3V2eVoxJCNHRSIAshhA0JD/biucoi0WhS+GzRUXYcdbzpFiZF4edNZ1i05SwAYQEePHdfJ7zcdSpHJoQQUiCLOlJSUsI///keY8cOp3//HowbN4J//ONv5OfnsXz5Yvr06cqFC1VX52dlXaJfv+7Mn/89AMXFRcye/S733TeeQYN6cc89Y/juu/9V6Q07ceJo/vnP93nrrVnccUdvtm3bAsDx40eZOfNJBg3qS/v27bnvvgksXvxLlfcrKiri739/jaFD+zN0aH/eemsWv/22iz59urJ//17LeceOHWXmzKcYPXoId97ZhyeeeIQjRw7VOCd9+nTl3//+uMqxr776nD59ulJeXl7j1xMNR2SYN8/e0wE3FyeMJoUvl59g6bZzDtMnWW8w8sXSY6zcZR45DvZz4/n7OlqmlwghhNrkPpbKSsoMpOcU3/BxZyct3gXlFBaWYTBad6etRgGeeLjV7pL45z/fY9u2Lcya9SZNmzYjPT2NN9+cxbvvvsmLL77Ghx++y8aN63jggYctz9mwYR0ajYY77xwKwMsv/4XExARmznyRVq1as3fvHv71rw/Q6/U89NAjluft3LmN+Pg+zJ07n4CAQEpKinn22Sfo0KETX331DSEh/qxYsZr33/8HQUHB9OnTD4D33/8H27Zt5s9/fpnWrdvw668r+eCDd6t8juTk8/zpTzOIi2vP++9/hLOzM99++zXPPvsEX331HZGRzWqVHyFqKjrclxcnd+ZfPx8mt7CcxdvOcSmvlAeHt8LZyX7HNgpLKvh44RESU/IBaN7Ih6cntpfiWAhhU6RAVlFJmYG//HsHJeUGtUMBwMPVmXcf61WrInn69Cd48ME/Eh4eAUBoaBiDBt3JwoUL8PLyIj6+93UK5LV07dqDwMAgjh07yr59e3jppde4447BAISHR5CUdI4ff/yOyZMfxMXF/AO0pKSEp5+eiVZrLhIMBgNffvktvr5+BAT44e/vyT333Mf//vcVu3fvpE+ffpSVlbFp03omTryPoUNHVMb8OOfPnyMl5crI9oIFP6DVOvHmm+/i5eUFwEsvvcbdd9/FvHnf88ILr9Qis0LUTtNQb16Z2oV//XyYCxeL2H40g5zCcp4Y1xYPN/ubipCZW8I/FxwiM7cUgE4xQUy/Kw5XnSzIE0LYFvsdhhA2RavV8Msv85k0aQLDhg1g8OC+zJ//PaWlpVRUVDB48DBOnz5Faqp5pXpGRgbHjh2xFKvHjx8FoHv3nlVet0uXbpSUFFcpYmNiYi3FMYCzszOXLl3kjTdeZ8yYEXTq1ImBA3uTm5tDQUEeAJmZGRgMBlq3blPl9Xv16lvlv48fP0qbNnGW4hjA1dWVdu3ac+rUydvMkhA1F+DjxouTO9O2RQAAJ87n8tZ3+8nKK1U5spo5nZLHm3P3WYrjwV2b8MS4dlIcCyFskowgq8jDzTxie8spFt5uNj3FQlEUZs58iszMDJ566llatWqNi4srP/88j59/ng+YC1EvLy82bFjH1Kl/YMOGtbi5udOv3wDAPP8YYNKkCVVe22Qyf+bs7CxatIgGwNvbq8o5J08et0yx+OtfXyc6uhlFReU8/vh0yzn5+XkAeHh4VHmun59/lf8uLi7mzJlEBg+uWjhXVFTg7x9Q09QIUSfcXZ3508T2fL/mFJsOppGWVczrX//GpDtj6NU2DI0Nb6ZhMJpYvPUsy3ecx6QoaDRw/x0x3Nm1idqhCSHEDUmBrDIPN2eiGvve8HFnZy3+/p7k5hZjMFi3QK6ts2fPkJh4iueff4kRI0ZbjldUVFj+3cXFhf79B7Fx45UCecCAQbi5uQHg7e0DwL/+9W98fK7NR2Bg0A3ff+3a1Wg0Gt5++wN8fLzx9/ckO7uQgoL8Ku8PUFZWVuW5V59zOY6QkFBeeOGv17zP1aPW1fX7RVWlpfY16idsh5NWy9ShsQT7u/PzpjOUlhv4asUJ9p+6xIPDWuFjg3N4kzMKeO+7vSSlFwLgqnNi+l1t6BQTrHJkQghxczLFQtw2vV4PgL//ldHY4uIitmzZWPlf5iJx8OBhnDp1koMH93Py5HHL9AqAuLh2gHmkOCKiieWPt7c3bm7uuLu73/D9DQY9Li6ueHh4Wo6tW7eG8vJyLtenjRtHoNFoOHHiWJXnbty4vsp/x8W1JTk5iZCQ0CpxKIpy0yL9ery8vMnLy61y7NixIzV6DSGuptFoGN4jkpcmd7FsTX3gdBavfrWbfQm20y/ZZFJYufM8z8zebCmOW0b4MuuP3aU4FkLYBSmQxW2LjGyGt7cPCxf+RHLyeY4ePcJzzz1N374DANi/fy9lZWV07tyVoKBgPvroA4KDQ+jcuavlNVq1ak337vHMnv0eW7ZsIj09jQMH9vHcc0/zwgvP3rS9VVxce0pKilmw4AfS0tJYuHAhP/+8gLi4dpw9e4b09DR8fHzo1q0HS5cuZvPmjVy4kMxXX31Oenpqlde6++77KSkpYdasVzh58jhpaaksXbqIhx6axNKli2qUlzZt4ti2bQv79+8lOfk8c+Z8Qm5u7q2fKMQtREf4Muvh7gzsHA5AYYmeTxcd4T/LjpFXpG4LwdSsYt79YT/z1p9GbzChc9Jyz8Bo/jKps6WoF0IIW6dRHKSx5h/+8Ad27tzJ3Llz6dGjh+W40Wjkiy++YNGiRaSlpREYGMiIESP405/+ZLm9f9m8efP47rvvSEpKwsfHhzvuuIOZM2dWGRm9kUuXCuv8M4F9TLEA2LVrBx9//CHp6elEREQwffrjtG3bgSefnE56eipvv/0B3br15OOPZzN//vdMmjSVxx//U5XXKC0t5YsvPmPTpvXk5GTj7e1D374DePTRJ/Dz8wPMfZDj4toya9Y/LM8zmUx88sls1qz5lYqKCnr27MGzz77A/v37eeedN/Dz82PBgiVkZWXx7rtvsm/fHtzdPbjzzqF06tSFV175M3PmfE3btuZR7JMnT/DFF59y5Mhh9PoKmjRpyoQJ9zB27MQa5SQ5+TzvvvsmCQkncHNzZ+TIuwgODmH27HdZv347rq6ut5f0OmAv15ctsNVcHTuXw39XniC30FwY65y19O/QmOE9I/H3rr9r7MLFIpbtSGLfyYtc/qESHeHLH0e2JtTf46bPFbZ7fdkqyVfNSL6uCA72rtZ5DlEgL1y4kJdeegngmgJ51qxZLFiwgCeffJLu3btz+vRp3n33XXr06MG///1vy3lffvkl7733Hg899BB33nkn6enpvPPOO4SEhLBgwQKcnW8+XbuhF8i24mb5qqiooKSkxFJsg7mt20cffciyZWur9YuQo5Hrq/psOVclZXp+XH+aHUcyLMWps5OGvh0aM6JHJIG+bjd9/u04n1HIsh1J7D91ZYqHs5OW0b2b8cCoOAoLSm0uX7bIlq8vWyT5qhnJ1xXVLZDtfpFednY277zzDgMGDGDTpk1VHrtw4QI//vgjDz/8MI899hgAXbp0wWQyMWvWLPbu3UvXrl0pLi7m008/ZdiwYbz44ouW5/v4+DB9+nRWrFjBmDFj6vNjCSt4++2/s2fPTl588TWio2M4e/YM338/l759+zfI4lg4Dg83HX8c2YZh3ZuyfOd59hzPxGBU2Lg/lS0H0+jRJpQuLYNp0ywAV5fbb6tWUFLBkTPZ/HbyIofPZFuOuzhrGdApnGE9mhLk527XG5oIIRo2uy+Q33rrLfz8/JgyZco1BfL69etRFIXRo0dXOT5y5Ej+9re/sW7dOrp27cqOHTsoKSm55rx+/frh5+fHunXrpEB2AM8//xKff/4JH374Dnl5uQQGBjNgwCCmTXus2q/x3ntvsWbNqluet3bt1tsJVYhaCQ/24tG74rirdzOW7zjPruMZGE0KO45msONoBs5OWlpF+tEhKogOUYEEVXNOsKIopFwq5lBiFofOZHE2tYCrbz266LQM6hzB0O5NZUc8IYRDsOsCefPmzSxfvpxvvvnmun1AExIS0Gg0REVFVTnu6+tLSEgIJ06csJwHEBMTU+U8jUZDixYtLOcJ++bh4cGzz/6FZ5/9S61fY9q0Gdx//9Q6jEqIutco0JNHRrfhrt7NWLU7mf2nLlFUqsdgNHH0bA5Hz+bw/Vpzf2U/Lxf8vFzx9XLBz9MVDzdnCkoqyC+qIL+onLziCvKKyqnQX3tbNsjXjR5tQhncrQk+HlIYCyEch90WyOZOA7MYN24cPXv2ZPfu3deck52djZeXl6UH7tX8/f3JycmxnHf52PXOO3ny1juoabUatNq6b9bvVHmL0kluVVaLtfMVHBxEcHDN2r3ZMrm+qs8ecxUe4sW00W0wmRTOpOVz8HQWB09nceGieWOe0nIDpeUG0rNLqvV6Gg20jPCjY0wQHWKCCA/yvOEmJfaYLzVJvmpG8lUzkq+as6kCWa/Xk5ycfNNzvL29CQkJ4V//+hfFxcX85S83Hg0sLy+/bnEMoNPpyM/Pt5wHXPdcnU5nefxmAgJu/IOiLvj4SHukmpB81Yzkq/rsNVeBgV50b2duC3cxt4SDpy5xMbeE3IJycgrKyCkoI7egjOJSPT5ergT4uOLv7UaArxsBPm40DvKkU2wI3jUcKbbXfKlF8lUzkq+akXxVn00VyJmZmYwYMeKm54wbN47Jkyfz7bff8sYbbxAQcOPtf93c3CybWPxeRUWFpc3b5X/q9fprWr9dfd7N5OQUW20E2cfHnYKCUoxW3mraEUi+akbyVX2OlCsd0K1lze+EGMr15JZf/zv19xwpX/VB8lUzkq+akXxd4e/veeuTsLECOSIiwjIf+EYMBgMTJ06kU6dODB06lOLiYuDKFsJlZWUUFxfj6elJUFAQhYWFVFRUXDM6nJ2dTatWrQAICjL/oMjJycHb2/ua84KDb73zk8mkYDJZr2Oe0Whq8K1ZakLyVTOSr+qTXNWM5KtmJF81I/mqGclX9dlUgVwdGRkZlkVznTt3vubx6dOnA+aFd61bt0ZRFE6fPk1cXJzlnKysLLKysizHWrdubXlOZGSk5Tyj0UhiYiIDBw602ucRQgghhBC2xe4K5JCQEL7//vtrjp84cYI33niDv/71r5aCd/DgwfzjH/9gyZIlVQrkJUuWADB8+HAAevXqha+vL0uWLGHIkCGW89auXUtxcbHlPCGEEEII4fjsrkB2cXGha9eu1xw3Go0AtGzZ0vJ4aGgoDz/8MF999RX+/v50796dY8eO8dFHHzF+/HhLIe3q6srMmTN5/fXXeeuttxgyZAjJycm888479OzZkzvuuKP+PqAQQgghhFCV3RXINTVz5kx8fX1ZsGABn376KSEhIfzxj3+07Kx32X333YeLiwtff/01P/zwA35+fowePZpnnnnGqt0phBBCCCGEbdEoimK9lWUNyKVLhVZ5Xdk/vWYkXzUj+ao+yVXNSL5qRvJVM5KvmpF8XREc7H3rkwDpGC2EEEIIIcRVpEAWQgghhBDiKlIgCyGEEEIIcRUpkIUQQgghhLiKFMhCCCGEEEJcRbpYCCGEEEIIcRUZQRZCCCGEEOIqUiALIYQQQghxFSmQhRBCCCGEuIoUyEIIIYQQQlxFCmQhhBBCCCGuIgWyEEIIIYQQV5ECWUUnT55k+vTpdOnShQ4dOjBlyhT27NljtefZu9p+7h07dnD//ffToUMHunfvzqRJk9i8eXM9RKyuurhOfvvtN1q1asXUqVOtFKXtqG2+SkpKePvtt+nXrx/t27dn5MiRzJ8/vx4iVldt8mUymfj555+ZOHEiXbt2pUOHDowfP56ffvqpnqJWz8mTJxk2bBixsbGcOXOmWs/Zs2cPU6ZMoWPHjnTu3Jnp06dz8uRJK0dqG2qTr5UrVzJ27FjatWtHr169+OMf/8iBAwesHKltqE2+rrZ48WJiY2N58cUXrRCdfZICWSXJyclMnjyZ3Nxc3n//febMmYOXlxcPP/wwhw4dqvPn2bvafu4NGzbw0EMP4eXlxccff8x7772Hq6sr06dPZ9WqVfX4CepXXVwnFRUVvPrqqzSEVum1zZfJZGLGjBn89NNPPPbYY3z55Ze0b9+e1157jUWLFtXjJ6hftc3X+++/zyuvvEL79u35+OOP+fTTT4mJieGvf/0r//nPf+rxE9Sv77//nrvvvpuioqJqP2ffvn08/PDDuLu78+mnn/LPf/6TgoICpkyZQkpKihWjVV9t8vXtt9/y7LPPEhsbyxdffMGsWbPIzc1lypQpDl8k1yZfV8vJyeHtt9+u46gcgCJU8cILLygdOnRQsrOzLcfKy8uV/v37Kw8++GCdP8/e1fZzjxo1ShkyZIhSUVFhOVZSUqJ0795duf/++60Zsqrq4jqZPXu2Eh8fr4wfP16ZMmWKlSK1DbXN17Jly5SWLVsqK1eurHL8gQceUF599VVrhau62uarS5cuyr333lvlmMlkUu644w7lrrvusla4qtq9e7fSrl075aefflI++ugjpWXLlkpiYuItnzdlyhSlf//+Snl5ueVYdna20qFDB+Xll1+2Zsiqqk2+DAaD0rVrV2Xq1KlVjmdmZiqxsbHK888/b82QVVXb6+tqzz//vDJq1ChlwIABygsvvGClSO2PjCCrQFEU1q1bR69evQgICLAcd3FxYciQIezevZuCgoI6e569u518PfbYY8yaNQudTmc57u7uTmRkJBkZGfUSf32ri+vk1KlTfPnllzz33HN4eHhYO2RV3U6+Fi9eTFhYGMOGDaty/JtvvuFvf/ubVeNWy+3ky8XF5ZrrSaPR4OXlZdWY1eTn58e8efOYOHFitZ+Tl5fHb7/9xuDBg3FxcbEcDwgIoHfv3qxbt84aodqE2uRLr9fz+uuv8/zzz1c5HhISQmBgoMN+10Pt8nW1bdu2sWzZMl5++WU0Gk0dR2ffpEBWQVpaGoWFhcTExFzzWExMDCaTiVOnTtXZ8+xdbT+3RqNhxIgR9OzZs8pxvV7P+fPnadq0qdViVtPtXicmk4nXXnuNTp06MWHCBGuGahNuJ1+HDh2ic+fODeoHy+3k66GHHmLnzp38/PPPlJaWUlJSwo8//sjJkyd58MEHrR26Klq2bEmbNm1q9JxTp06hKAotW7a85rHo6Gjy8vJIT0+vqxBtSm3y5ebmxqhRo2jfvn2V4zk5OeTm5jrsdz3ULl+XlZaW8vrrrzNmzBji4+PrODL756x2AA1RdnY2AP7+/tc8dvnY5XPq4nn2rq4/98cff0xeXh6TJk2qmwBtzO3m68cff+TYsWMsWbLEOgHamNrmq6CggIKCAsLCwvj++++ZO3cuqamphISEMGXKFB588EGcnJysG7wKbuf6euSRR/Dw8OD//u//eOWVVwDzHZ133nmHMWPGWCli+1PdHDdq1Khe47I3b775JiaTifvvv1/tUGzSRx99RFFRES+88ILaodgkKZBVUFFRAVDl1tlll6cClJWV1dnz7F1dfu558+bxxRdfMH78eIYMGVJ3QdqQ28lXRkYGH3zwAdOnT6dFixbWC9KG1DZfJSUlAKxevZomTZrw8ssv4+LiwvLly3nnnXfIysriL3/5ixUjV8ftXF+bN2/mnXfeYfjw4YwZMwa9Xs/ixYt57bXX8Pf3p1+/ftYL3I6Ul5cDVJkadpkjf9fXpdmzZ7N8+XKeeuop2rZtq3Y4NufYsWN88803vPHGG1WmSokrpEBWgaurK2C+1f97l3/4uLu719nz7F1dfe5PPvmEjz/+mNGjR/P3v/+9boO0IbeTr1mzZhESEsKjjz5qvQBtTG3zdXl0WK/X8/nnn+Pm5gZAfHw8Fy9e5JtvvmHatGkO98OntvmqqKjglVdeoVOnTrz33nuW4wMHDmTChAn87W9/c+i5tTVx+Vq6Xo4vH3PE7/q6YDQaef311/npp5945JFHePLJJ9UOyeYYjUZeffVVunTpwvjx49UOx2bJHGQVBAcHA+b5Ub+XlZVV5Zy6eJ69q4vP/frrr/Pxxx8zbdo03nvvPZydHfd3w9rma/Xq1WzcuJGXXnoJvV5PcXExxcXFGI1GjEYjxcXFlgLIkdQ2X35+fjg5OREXF2cpaC7r3bs3BoOB06dPWyFiddU2X0lJSVy6dIm+ffte81j37t25cOGCQ04Rq42goCAAcnNzr3nMkb/rb5der+eJJ57gl19+4ZVXXrlm0Z4w++abbzh9+jQvvvii5Xu+uLgYRVEwGAwUFxdjMBjUDlN1jlsl2LCwsDD8/f1JSEi45rGEhAR0Ot11F2fU9nn27nY/9+zZs5k/fz6vvPIKDzzwgDVDtQm1zdfGjRtRFIXp06df93U7d+7Mk08+yVNPPVXnMauptvnS6XRER0dft1A0Go2WcxxNbfN1eUrA9X7wXh4VdcRfwGojNjYWJyenG+Y4ODiYkJAQFSKzXYqi8PLLL7Nt2zb++c9/MnToULVDslkbN26koqLiuqPHaWlpLFu2jH/84x8NfnRZCmSVDB06lEWLFnHp0iXLSEBJSQlr1qyhX79+eHp61unz7F1tP/e6deuYM2cOzz//fIMoji+rTb5mzJhx3VZBb7zxBgB//etfady4sXUDV0ltr68RI0bwr3/9i9OnT1fp6rB582bc3d1p1apVvcRf32qTr+joaNzc3Ni+fTszZsyo8tiePXsIDg4mLCysXuK3dd7e3vTq1Ytff/2V559/3nKHIjMzk507d8qis+uYO3cuS5cuZfbs2VIc38Jf//pXCgsLrzn+zDPP0Lp1ax599FGaN2+uQmS2RaZYqOTxxx/H3d2dGTNmsGnTJrZv387jjz9OaWkpM2fOBMw/NNq0aVNl29rqPM8R1SZfBoOBt99+m4iICHr06MGRI0eu+eOoI1a1yVezZs3o2rXrNX+8vb3x9vama9euDlsg1/bv45QpU2jatCnTpk1j1apV7Ny5k5deeondu3czbdo0h+0hXZt8eXh48Mgjj7Bnzx5eeOEFtmzZwubNm3nmmWdISEjg8ccfd8h2eSkpKZbvm4sXLwKQmJhY5Tto8eLFtGnThm3btlme99xzz1FYWMgTTzzBjh072LhxIzNmzMDX19eh1wjUJl8FBQV89NFHdOrUiSZNmlz3u95R1SZfsbGx1/2ud3FxITAwkK5duxIYGKjmx7IJMoKsktDQUH744Qfee+89Zs6ciaIodOzYkblz5xIdHQ2YbxkZjUZMJlONnueIapOvjIwMLly4AMDdd9993dddv349ERER9fMh6lFtr6+Gqrb58vLy4rvvvuP9999n1qxZFBUV0bx5c954440bXnOOoLb5evLJJwkNDeX7779n1apVaDQaYmJimD17NiNGjFDr41jVJ598cs22408//bTl39evX4/JZLomV61bt+Z///sfH374IY8//jhOTk7Ex8cze/ZsyxxlR1SbfJ04cYKioiIOHDhwww0zrjddxRHU9voSt6ZRFEVROwghhBBCCCFshUyxEEIIIYQQ4ipSIAshhBBCCHEVKZCFEEIIIYS4ihTIQgghhBBCXEUKZCGEEEIIIa4iBbIQQgghhBBXkQJZCCGEEEKIq0iBLIQQQgghxFWkQBZCiAZk9uzZtGnThq1bt1rtPZ5//nk6derEiRMnrPYeQghhTVIgCyGEg5k3bx67d+++5vivv/7KnDlzeOqpp+jbt6/V3v/NN98kPDycxx57jPz8fKu9jxBCWIsUyEII4UCMRiPvvPMOe/bsqXI8JyeH1157jaioKKZPn27VGFxdXXnrrbfIyMjgrbfesup7CSGENUiBLIQQDuTUqVOUlJRcc/yzzz4jPz+fJ554AicnJ6vH0b59e4YOHcqSJUtkqoUQwu5IgSyEEA7ixRdfZOzYsQB88sknxMbG8vHHH1NaWsrPP/9MeHg4w4cPr/KcqVOnEhsbS15eHl988QVDhw6lbdu29OzZkxdeeOGaKRKnTp3iz3/+M4MGDaJdu3b07NmTSZMmsXTp0mviuf/++1EUhblz51rtMwshhDU4qx2AEEKIujF58mQ8PDz4/vvvGTZsGMOHDyc6Opo9e/ZQWlpK37590WqvPy7y5ptvkpyczNSpU3FxcWHp0qUsXryY0tJSPvroIwBSUlK499578fT0ZOrUqTRu3JiCggKWLl3Kn//8ZwoKCpgyZYrlNbt06YKnpydr1qzh73//O87O8iNHCGEf5NtKCCEcRLt27Th9+jQA0dHRDBs2DID58+cD0KdPnxs+Nzk5me+//95SxI4YMYK+ffuyYcMGKioqcHFxYd26dZSUlPDmm28yYsQIy3Pvvfde/vSnP5Genl7lNXU6Hd27d2fjxo2cOHGCdu3a1ennFUIIa5EpFkII4eCSkpIAaN68+Q3PmTJlSpURXi8vL6Kjo9Hr9eTm5gJYHt+zZw+KoljOdXZ25tNPP+XPf/7zNa/bokULwDz6LIQQ9kIKZCGEcHA5OTkABAQE3PCcZs2aXXPMzc0NAL1eD8CoUaOIjo7mxx9/5M477+SNN95g7dq1FBUV3fB1L7/n5RiEEMIeSIEshBAOrrCwEABvb+8bnuPq6nrL1/Hz82PevHk8++yzuLu78+233/Lkk08SHx/PSy+9REFBwTXP8fHxqRKDEELYA5mDLIQQDu5yYVxYWHjTUeTqvtaMGTOYMWMGmZmZbNu2jV9++YWFCxeSkZHB119/XeX8y0XzzYpzIYSwNTKCLIQQDs5a0xxCQ0OZMGEC3333HXFxcezYseOakeLs7OwqMQghhD2QAlkIIRzI5U1AysrKLMcuzy8+d+7cbb32K6+8wujRoyktLa1yXKvV4ubmhpOT0zVt5C6/Z0RExG29txBC1CeZYiGEEA6kSZMmACxduhR/f38aN25Mnz59mDt3Ltu2bWPw4MG1fu3evXuzcOFCJk6cyNixYwkLC6OsrIzNmzezb98+S4/ky/R6PXv27MHLy4vWrVvf9mcTQoj6IgWyEEI4kM6dOzNp0iSWLFnCJ598woQJE3j++edxd3dn69atmEymG24WcisjRozA19eXb7/9lm+++Ya8vDx8fX1p2rQpr7/+Ovfdd1+V8/ft20dxcTHjx4+XTUKEEHZFo1zdzFIIIYRDeuONN/j222/58MMPGTlyZL2855/+9CdWr17NokWLZARZCGFXZA6yEEI0AI8//ji+vr58+umnGI1Gq7/f4cOHWb16NWPGjJHiWAhhd6RAFkKIBiAgIIC//e1vnDlzhi+++MKq71VeXs4rr7xCWFgYL7/8slXfSwghrEEKZCGEaCCGDRvGjBkz+Pjjj9m6davV3uevf/0rKSkpfPbZZ/j6+lrtfYQQwlpkDrIQQgghhBBXkRFkIYQQQgghriIFshBCCCGEEFeRAlkIIYQQQoirSIEshBBCCCHEVaRAFkIIIYQQ4ipSIAshhBBCCHEVKZCFEEIIIYS4irPaATiKS5cKrfK6Wq2GgABPcnKKMZmkZfWtSL5qRvJVfZKrmpF81Yzkq2YkXzUj+boiONi7WufJCLKN02o1aDQatFqN2qHYBclXzUi+qk9yVTOSr5qRfNWM5KtmJF81JwWyEEIIIYQQV5ECWQghhBBCiKtIgSyEEEIIIcRVpEAWQgghhBDiKlIgCyGEEEIIcRUpkIUQQgghhLiKFMhCCCGEEEJcRQpkIYQQQgghriIFshBCCCGEEFeRrabt0MYDqSzZdo4gXzeiw32JCvclOtwXf29XtUMTQghxGyoMRvILK9A5a3F20qBz1uKklbEsIeqbFMh2KCE5l4LiCgqKKzibVgC/XQAgwMeV2Cb+9G4XRqtIf7Qa2VJSCCFskUlRSLlYRGpWMWlZxaRnl5CeU0JGdjGKUvVcrcZcKAf5ulkGRGIifAnxd0cj3/NCWIUUyHZo6tBYwoM8SUwt4ExqPiXlBgByCsrZeSyDnccyCPFzp2+HRvRp1whfLxlZFkIIW5CaVczOoxnsOp5BTkF5tZ5jUhTK9UZSs4pJzSpmy6E0ALzcdUSH+9KtdQhdY0PQOctIsxB1RaMov/9dVdTGpUuFVnldZ2ct/v6e5OYWYzCYrnncpChkZJdwJjWf06n5HDh1ieIyg+VxJ62GDtFBDO4aQWxTf6vEaEtulS9RleSr+iRXNSP5uiK/qJzdxzPZeSyT85nX/qxwc3EiPNiLFuG+BPm44uvpgtGkoDeYLH8q9EZSsopJTMkjr6jimtfw8XShf4fGDOgU3iCm28n1VTOSryuCg72rdZ4UyHVErQL59/QGI/sSLrH5YBoJF/KqPNYpJoh7BkUT6u9hlVhtgXwJ1Izkq/okVzUj+YKiUj3LtiexYX8KRtOVH7VOWg1tmwcQ3zbMsn5Ep3OqVr4URSG7oIzE1HwSU/I5cjabS3lllse1Gg2dY4O5s0sELZv4WfPjqUqur5qRfF1R3QJZplg4GJ2zEz3jwugZF0ZGTglbDqWx7XA6RaV6DpzO4vCZbAZ3a8Ko+GZ4uMn/fiGEqGt6g5H1+1JZtiOJ0vIrd/SaN/KhV9swurUOwcfDpVavrdFoCPJ1J8jXnZ5twjApCkfP5rBhfwqHz2RjUhT2nrzI3pMX6RQTxKQ7WxLo61ZXH02IBkNGkOuIrYwgX09JmYFlO86xbu+VUQwfDx3j+rWgb/vGaLWOs8hDfkuuGclX9UmuaqYh5ktRFPacuMgvm8+QlX9lVLdrqxDG9mlO4yDPGz63LvKVmVvCxv2pbD2cbinMXXRaxvRuzuBuTXB2cpw5yg3x+rodkq8rZIpFPbPlAvmyzJwS5m9I5GBiluVYbBM/pt8V5zBz1uRLoGYkX9UnuaqZhpavrLxSvlh+nMSUfMuxqHAf7h0YQ3SE7y2fX5f5Ki03sGSbeVDEVPkjPjzYk6lDYh1m2kVDu75ul5r5mjhxNL169SE0NIyffppHYWEBXbp049VX/86vv65g3rzvKCwspEuXrrz88v+xYMEPfP31f677Wh99NIfOnbveVjxSINczeyiQLzuWlMO89adJvVQMgLeHjumj44hrHlAnr68m+dKsGclX9UmuaqYh5WtfwkW+XnnS0lEo2M+NuwdE0yU2uNpt2KyRr+TMQr5dncCZtALLsX4dGnH/nS1x1TnVyXuopaFcXyVlBtJzim/7dZydtHh7u1FYWIbBWLt8NQrwrNXUzIkTR6PVaunZsxcTJ95LYmIir7/+Em3btic8PIKpUx/i3LkzvPrqizz00CPcd98USktLLM9XFIW//vUF8vLy+PLLuXh5edUq/stkDrK4obhmAfzfQ91YtOUcK3edp7BEz4fzDzKqVzPG9GnuUFMuhBDCWvQGIws2nGH9/hQANBoY07s5I+IjbWI6Q9NQb16a2oWth9L4edMZissMbDmUTlJ6IU+Ob0eQn7vaIYqbKCkz8Jd/77D84qU2D1dn3n2sV62KZIPBwJ/+9DxOTk40bdqM//3vP5w9m8js2Z/i5uZGZGQzmjdvwenTCXh4eODhcaWZwJdfzuHMmUQ+//zr2y6Oa0L9v8FCFU5aLRMHRPHM3R3wctehAMt2JPH+vAPkF1WvN6cQQjRUmTklvPntPktx7Oflwl/u78RdfZrbRHF8mVajoX/HcN6c3pMuscEAJF8s4m/f7OV4Uo7K0YmGIjq6JU5OV+5a+Pj40qRJJG5ublWOFRUVVXnejh3bmDv3v7z88mu0aBFVb/GCjCA3eO2jAvm/h7oxZ8kxElPzOZmcx+tf/8bTE9rTorGP2uEJIYTN2ZdwkS9XnKC8wghAuxaB/HFU61p3pqgPPh4uPD62LSt3nWfh5rMUler5YP5B7hkYzZBuTWRHPhvk4WYesbX3KRYA7u7XdlK5uji+7OpZv6mpKfztb69y//1TGTjwzlq97+2QAlkQ4OPGXyZ1YtGWs6zanUxBcQXv/XiApya0o00z+5+XLIQQdWXTgVS+XZ2Agrmf8YT+UQzp3gStHRSYGo2GkfHNaBrqzedLjlFSbmD+hkTOZxby4LBWdj8v2RF5uDkT1fjWizxvxd7mbJeXl/HKK3+hTZs4Hn30CVVisJ37QEJVzk5a7h4YzeNj2+LspKFcb+SfPx1iX8IltUMTQgjVKYrC8h1JzK0sjr09dLwwuTPDejS1i+L4au1aBPLqH7oSXtl2btexTN778QAlZXqVIxPC7N1336S4uJj/+7830WrVKVWlQBZVdG0VwjN3d8BV54TBqPDZ4iNsPZymdlhCCKEak6Iwf0MiC7ecBSDQx5WXpnQhOvz2R/bUEurvwSsPdKFr5bzks2kFvDfvIEWlUiQLdf3yywLWrVvDc8+9gF6vJzs7y/Ln93OUrUkKZHGNNs0C+PP9nfB0c0ZR4OuVJ1m9J1ntsIQQot4ZTSa+XnGCNb9dAKBRoAcvTelCWIDHLZ5p+9xcnJkxti0DO4UDcD6jkPd/PEBhSYXKkYmGbOPGdRiNRp5//mnGjBlW5c+//vV+vcUhfZDriD31Qa6u1KxiPph3gLwi85flqF7NGNe3uU0v5rC3eVZqk3xVn+SqZhwhX3qDkX8vPmbZXKl5I2+eubsD3lZYjKdmvhRF4cd1p1m3z9yRIyLYk+fv64SPp+0uOnSE66s+Sb6uqG4fZBlBFjcUHuTJy1O6EOJv7pW5fEcSq3bLSLIQwvEZTSbmLLlSHLeO9Of5+zpZpThWm0aj4f47YxjavQkAKZeKefdHafkpGjYpkMVNBfm589KULjQKNN9O/HnTGZmTLIRwaIqi8M2vCRw4bS6OO8UE8czdHXB3ddzGTxqNhnsGRjOiZyQAaVnFvP3DAXILpUgWDZMUyOKWfD1dmHlPR/y9XQH4ZlUCByt/cAghhKNZuOUs2w6nA9CqqR8zxrRF5+z4Py41Gg0T+rfgrt7NAPNmKP/86RClNrKTmxD1yfH/xos6Eejrxsx7OuDp5oxJUfj3kqOcupCndlhCCFGn1vx2gRU7zwPQNNSLpya0bxDF8WUajYaxfVswulczAC5cLOLfS45iNDXseaui4Wk4f+vFbQsP9uJPEzvg4qxFbzDxr58Pk3Kx/lquCCGENe08lsG89acBCPFz59l7Ojr0tIqbGdu3Ob3bhQFw9GwO3605hazpFw2JFMiiRqIjfHlsbFu0Gg2l5QY+WHCQrLxStcMSQojbcuRsNv9dcQKonFZ2X0d8bbiLg7VpNBoeHNaK1pH+AGw+mMbKXedVjkqI+iMFsqixDtFBPDSiFQD5RRX88+fDlFXIHDUhhH26cLGITxcdwWhScHd14tl7OhDi5652WKpzdtLyxLi2lh33ftl8lt3HM1WOSoj6IQWyqJXe7RoxcUAUYF7t/N8VJ+T2mxDC7hSV6vlk4WEq9CacnTQ8PaE9TUOr1ye1IfBw0/HM3R3w9TKPpn+14risPxENghTIotaG92hKzzahAOxNuMSv0iNZCGFHTCaFL5Ye41JeGQBTh8QS29Rf5ahsT6CvG89M7ICrzgmDUeHjXw5zUabWCQcnBbKoNY1Gw4PDWxER7AXAz5vPcOxcjspRCSFE9Szaepajld9ZAzqF07dDY5Ujsl2RYd48NjYOjQaKywz8e9FR9Aaj2mEJYTVSIIvb4qpz4skJ7fB0c0ZRYM6So7JoTwhh8/YlXLS0c4sO92XSnTEqR2T72kcFMb5fCwDOZxby4/pElSMSwnqkQBa3LcTPnel3xaHBPLLwyaIjVOhlZEEIYZtSs4r58qqOFY+NbYuzk/w4rI7hPSPpEBUIwKYDqew8lqFyREJYh0N+I5w8eZLp06fTpUsXOnTowJQpU9izZ88tn1dSUsLbb79Nv379aN++PSNHjmT+/Pn1ELH9a9cikHGVIwvJmUV882uCLNoTQtickjIDnyw8QnmFESethsfHtbXsEipuTavR8MdRbQj0cQPgm19PkppVrHJUQtQ9hyuQk5OTmTx5Mrm5ubz//vvMmTMHLy8vHn74YQ4dOnTD55lMJmbMmMFPP/3EY489xpdffkn79u157bXXWLRoUT1+Avs1Mj6Szi2DAXPD/c0H01SOSAghrlAUhf+uPEFmTgkA998ZQ0yEn7pB2SEvdx2Pj2uLs5OGCr2JzxYdkVafwuE4XIH82WefYTQa+fzzzxk4cCDx8fF89NFHBAUFMXv27Bs+b+XKlezevZs33niD+++/n+7du/OPf/yDnj17cuDAgXr8BPZLo9Hwx5GtaRToAcC89adJz5aRBSGEbdh8KI39py4B0LtdGAM7hasckf1q3siHeweZ522nZ5cwV+4aCgfjUAWyoiisW7eOXr16ERAQYDnu4uLCkCFD2L17NwUFBdd97uLFiwkLC2PYsGFVjn/zzTf87W9/s2rcjsTd1ZlH74rDSauhwmDii6XHMRhNaoclhGjgMnJKLNtINwr0YMqQWDQajcpR2bdBncPp3joEgF3HM9kkdw2FA3GoAjktLY3CwkJiYq5djRwTE4PJZOLUqVPXfe6hQ4fo3LmzfGHWgaah3kzob95E5HxmIYu2nlU5IiFEQ2Ywmvhi6TEq9CactBqmj47DVeekdlh27/J21GEB5ruGP647TZrMRxYOwlntAOpSdnY2AP7+1zZ6v3zs8jlXKygooKCggLCwML7//nvmzp1LamoqISEhTJkyhQcffBAnp5t/mWq1GrTaui+unSpXVjvZ2QrrEb0iOXoum+NJufy6K5mO0UG0bhZw6yfeJnvNl1okX9UnuaoZW8rXoq1nScooBGDigCiiInxVjuhatpSvmvB2duGpie15/avdGIwmvlpxglf/0NXqXUHsNV9qkXzVnEMVyBUVFYB5SsXv6XQ6AMrKyq55rKTEvGBj9erVNGnShJdffhkXFxeWL1/OO++8Q1ZWFn/5y19u+t4BAZ5WHX328XG32mtby5+nduOp9zdSVKrnP8tP8PFzA/DyuPb/jTXYY77UJPmqPslVzaidr2Nns1m+IwmA9tFBTBrexiqDGXVF7XzVhr+/J1OHt+br5cc5l17Auv1p3D8ktl7e2x7zpSbJV/U5VIHs6mpu1aPX66957HLx7O5+7cVxeXRYr9fz+eef4+Zmbl8THx/PxYsX+eabb5g2bVqVec2/l5NTbLURZB8fdwoKSjHa2VxeJ+API1rxyS9HyMor5V8/7uexcW2t+ouEPedLDZKv6pNc1Ywt5Ku4TM973+5FUcDDzZmHhrciP79ElVhuxRbydTv6t2/E9kNpnLqQx/y1CcRG+NC8kY/V3s/e81XfJF9X+Pt7Vus8hyqQg4PNLcZycq7d7jgrK6vKOVfz8/PDycmJuLg4S3F8We/evdmyZQunT5+mR48eN3xvk0nBZLLeCl6j0YTBYH8XdeeYYPq0a8S2I+nsOp5JuxaBxLcNs/r72mu+1CL5qj7JVc2oma9vVp4ku8B81/CBobH4errY/P87e76+Hh7Zmte/2kO53sjnS47x+h+6onO27lxve86XGiRf1edQk1HCwsLw9/cnISHhmscSEhLQ6XS0bNnymsd0Oh3R0dHXLayNRqPlHFE7998ZQ4ifeeT+2zUJ5BRcO81FCCHq0u7jmew6nglAr7ZhdG8dqnJEji/Ez51774gGIC2rmIVbZIG2sF8OVSADDB06lB07dnDp0iXLsZKSEtasWUO/fv3w9Lz+0PqIESM4cuQIp0+frnJ88+bNuLu706pVK6vG7cjcXZ15ZHQbNBooqzAyd7X0yxRCWE9hSQXfrzV3LArydWPy4GsHRoR19O/QmHYtzFtRr9lzgYTkXJUjEqJ2HK5Afvzxx3F3d2fGjBls2rSJ7du38/jjj1NaWsrMmTMB2LNnD23atKmyjfSUKVNo2rQp06ZNY9WqVezcuZOXXnqJ3bt3M23aNDw8PNT6SA4hKtyXod2aAnD4TDa7T2SqHJEQwlH9uP40RaXmtSgPjWiNu6tDzSa0aRqNhj8Mb4WnmzMK8NWKE5SWyy57wv44XIEcGhrKDz/8QHBwMDNnzuTJJ59Eo9Ewd+5coqPNt34URcFoNGIyXZmH4+XlxXfffUfPnj2ZNWsWjzzyCEePHuWNN97gySefVOvjOJQxfZsT7Gee4/3D2tMUllSoHJEQwtEcPpPNrmPmX8D7dWhE68hr234K6/L3dmVKZReLrPwyftp0RuWIhKg5jSL3uuvEpUuFVnldZ2ct/v6e5OYWO8TE+uNJObw/7yAA8XGhPDI6rk5f39HyZW2Sr+qTXNWMGvkqLTfw6le7ySkox9fThTce6YGnm32sH3HE6+uzxUfZe/IiAC9P7UJ0eN31n3bEfFmT5OuK4GDvap3ncCPIwra1aRZAn/aNANh5LJMjZ6/duEUIIWpj4eaz5BSUAzBlSEu7KY4d1eQ7Y/ConN7yza8nMTTw9mLCvkiBLOrdvYOi8fU0bxgy99eTMj9NCHHbElPy2bA/BYAuLYPpEhuickTC18uViQOjAEi9VMzqPckqRyRE9UmBLOqdp5vOsqo8u6CcRdIKSAhxG/QGE1+vOoECeLg6M3mIdK2wFf06NCa6cmvvpduTuJhrmxu1CPF7UiALVXRtFULnluZNW9bvSyExNV/liIQQ9mrFziTSs82F1z2DovHzclU5InGZVqPhwaGxOGk16A0mvl1zStp8CrsgBbJQzeTBLXF3NbcC+maVzE8TQtRcalYxK3aeB6B1pD99K9c4CNsRHuzFsB7mNp/HzuWw+7i0+RS2TwpkoRp/b1fuvjw/LauYDftSVI5ICGFPFEXhh7WnMJoUdM5aHhgWi0ajUTsscR2jezWz7Kg676o+1ULYKimQhar6dWhM80bmliuLt50jv6hc5YiEEPbit5MXOXHevFPbiJ6RhPrLhk62ykXnxNSh5t7IBSV6ft6UqHJEQtycFMhCVVqNhilDYtFg3oZ6wUZpKC+EuLWyCgPzN5iLrCBfN4ZX3sIXtiuueQA940IB2HIondMpeeoGJMRNSIEsVNe8kQ99O1zujZzBqQt56gYkhLB5y3ecJ7fQfMfp/jtjcNE5qRyRqI77Bl3pjfzD2tOYTLJgT9gmKZCFTZjQPwpPN/OX5vdrT2E0yYI9IcT1ZeSUWHrqto8KpGN0kMoRiery8XRhbN/mAJzPLGTbkXSVIxLi+qRAFjbB28OFcf1aAHDhYhGbDqSpHJEQwhZdvTDP2UnD/XfGyMI8OzOwczjhQZ7/396dR1dV3/v/f56TmYRMZAICBAiEeZ6CgOLArChKrYB667VIcahFvVq1eq3a6k8rvaJe9NtbK07giIgi8wwS5kkgTElIQgghCZmnc/bvj5OE0ICSkGSfc/J6rOVq1xlyXuezdnbefPZnvz8AfLn+OEUlumFPnI8KZHEa1/VrS/uIAAC+3nCCvKIykxOJiLPZlZjFgZPZAIwb2l435rkgD6uVu27sAkB+UTlLNieZG0jkElQgi9OwWh037AEUlVbw5TrdsCciF5SW21i4+igAoYE+TBwWY24gqbceMaEXbRaVnlVociKRi6lAFqcSGx3ENb2iANi47zTH07XDnog4fL81mXN5JYDjZi8fb92Y58ruvD4WTw8rNrvBp6uPaoc9cSoqkMXp3DE6Fj8fxx++hat00hQRyDpfzLJtjhvzesSEMDAu3OREcrXCg/0YN7Qd4Nhhb8+xLJMTiVygAlmcTpC/NzcPd9zlfDw9j+2HM01OJCJm+2r9CSpsdqwWC3fd2FU35rmJicNiCGnpA8Ci1ccor1AHI3EOKpDFKd0wMJqwIF8Avlh3XCdNkWbsRHoeP/50BoBr+7Wp7oAgrs/H24OpozsDkJlbzIrtKSYnEnFQgSxOycvTyh3XOU6aWedLWL0z1eREImIGwzBYtMZxY56vtweTR3Q0OZE0tKHdI+kSHQQ4NoA5X6gORmI+FcjitAZ3i6Bz20AAvt2SRL7avok0O7sSszia6rhZd2J8BwL9vU1OJA3NYrEw7caugKNTyZJNJ01OJKICWZyYxWLhzusdvTKLSyvUK1Okmamw2fl83TEAWgX6MGZwO5MTSWPpENWSYT0jAVi/J53T59T2TcylAlmcWmzbIAZ3iwBg3e40MrKLTE4kIk1l7a40MnOKAcd29F6eauvmzqaM6oSnhwW7YfCF+uCLyVQgi9O747rOeHpYsNkNPl97zOw4ItIECkvKWbLZcam9Y+uWDOkRaXIiaWxhQX7cONBxlWD30SwST+WaG0iaNRXI4vTCgy8+aR5JyTE5kYg0tm83J1FYUgHAndd3waq2bs3CxOEd8Pf1BODztcfUB19MowJZXMKk4R0I8PMCYOGaY9h10hRxW5k5RdWdawZ2Dadru2BzA0mT8ff1YtLwGMDRB3/nkbPmBpJmSwWyuIQWvl7cck0MAMkZ+SRU9kQVEffz5foT2OwGHlYLd1T2yJXm4/oBNfrgrz9OhU198KXpqUAWl3Fd/7ZEhPgBsHjjSZ00RdxQckZ+9e6Zo/u3JTKkhcmJpKl5eVqZMqoTAJk5xazbnWZyImmOVCCLy/D0sHLbyMqTZm4xG/edNjmRiDS0L9c7uhf4eHtUX2qX5mdIj0g6RLUEYMnmJIoq16OLNBUVyOJSBnePoH1EAABLNp2ktNxmciIRaSiHknM4cDIbgLGD22lTkGbMarHwq9GxABQUl7NsW7LJiaS5UYEsLsVqsTDlWseaxPOFZazaccrkRCLSEAzDqJ49DvDzYuyQ9iYnErN17xBCn86tAFi54xTnC0pNTiTNiQpkcTm9O4VW39W+7McUCkvKzQ0kIldtz9EsTqTnATApvgN+Pp4mJxJnULUWuazczndbNYssTUcFsrgci8XCHZWzyEWlFSz7McXkRCJyNex2gy83nAAgNNCH0QPampxInEX7yJYM6V65m+qeNLLOF5ucSJoLFcjikmKjg+gXGwbAqh2nyNWlNxGXtfVgBulZhQBMvqajtpSWi9w6shNWi4UKm8GSzUlmx5FmQgWyuKwpozphAcoq7Hyrk6aISyqvsLN4o2NL6datWjC8d5TJicTZRIW24JrK42LL/gxOnys0OZE0ByqQxWVFRwQwrGckABv2pnMmp8jkRCJSV+v2pHEurwSA20Z2wsOqP0tS2y3XdMTTw4LdMPhm00mz40gzoDORuLTJIzvhYbVgsxvVs1Ai4hpKyipYuiUJgJiolgyMCzc3kDitVkG+XNfPsTY94VAmyRn5JicSd6cCWVxaRLDfhZPmT2dIzSwwOZGIXKlVO1LJL3J0obnjus5YLBaTE4kzmzg8Bm8vR9lS1RJQpLGoQBaXN2l4B7w9rRjA15V3wouIcysqqWB5gqMDTbf2wfSICTU5kTi7IH9vbhrUDnC0BTxUuamMSGNQgSwuLyjgQluo7YczOZF23uREIvJLVu44RWHl9sG3Vm4hL/JLxg1tX90j+8NlhzAMw+RE4q5UIItbGD+0Q/Wlt0+WHzY5jYj8nMKSclZsd8we9+x4YeMfkV/i7+vF+KGOXRb3H8/ioGaRpZGoQBa3EOjvzQ0DowHYdjCjekcuEXE+yxNSKC61AXDryI4mpxFXc+OgaAL9vQH4asMJzSJLo1CBLG5j/NAO+Ho7Nhj4eoNu4BBxRvlFZazckQpAn86t6NwmyORE4mp8vT2ZGN8BgGOp5zmYpFlkaXgqkMVtBPh5MWaI49Lb3mPnOK61yCJO54eEFErLNHssV+f6gdEEB/gA8M3Gk5pFlganAlncyvih7fH3ddzAsXijOlqIOJPzhWWs3umYPe7fJYyYqECTE4mr8vHy4PbrYwE4np7HAa1FlgamAlncir+fF5OvdZw0DyblkHgq19xAIlJt2Y/JlJXbAZg8QrPHcnXGxccQVLkWebFmkaWBqUAWt3PLyE6aRRZxMrkFpazdnQbAoLhw2ke2NDmRuDpfb08mDo8B4OTpPPaf0CyyNBwVyOJ2/P28GD/McQPH4ZRcDiXnmJxIRL7bmkx5hR0Lmj2WhnP9gLYEBThmkb/ZpI4W0nBUIItbumlwOwL8vAD4RrPIIqbKyS9l/Z50AIb0iKRteIDJicRdeHt5MKFyQuTk6Xz2HT9nciJxFyqQxS35+XgyrrKZfGLqeY6kaBZZxCzLfkymwuaYPb7lmhiz44ibubZvmxqzyFqLLA1DBbK4resHtK2eRV6yOcncMCLNVG5+Kev3OmaPB3ePoHUrf5MTibvx9vJgYuUsclJGPns1iywNQAWyuC1fb0/GDG4HwKFkdbQQMcN3P15Ye3xz5Q1VIg3t2n5tCGmpvsjScFQgi1u7YWA0LXwcHS2+3XzS5DQizUtOfglrK/seD+wWobXH0mi8PC+sRU4+o1lkuXpuWSAfPnyYmTNnMnDgQPr27cuMGTNISEio08/Yvn073bp14+67726klNIU/HwuzCIfTMrhmHbXE2kyi9cdp6zC0fdYs8fS2Eb1bU1w5VrkbzcnaRZZrorbFcgpKSlMnz6dnJwcXn/9debPn09AQAD33Xcfe/fuvaKfUVZWxp/+9Cf9crmJGwdF41c9i5xkbhiRZiKvsIzvtjiu2gzoGk67CM0eS+Py8vRg/NCqjhZ5HExSX2SpP7crkN955x1sNhvvvvsuo0ePJj4+njfffJOwsDDmzp17xT8jLy+PXr16NXJaaQotfL24aVA0APtPnONEep7JiUTc3w/bUigtswHqXCFNZ1S/NgS2uHBztia6pL7cqkA2DINVq1YxfPhwQkNDqx/39vZmzJgxbNu2jby8ny+OEhMT+cc//sFjjz1GixYtGjuyNJEbB7XD19sD0FpkkcZWUFzOqh2nAOjfNUy75kmT8fHyYGxli89jqec5nJJrbiBxWW5VIKenp5Ofn0+XLl1qPdelSxfsdjuJiYmXfb/dbue5556jf//+3H777Y0ZVZpYgJ8XNwx0zCLvPX6O5Ix8kxOJuK8V209RUjl7fOvITiankeZmdP8LLT41ISL15Wl2gIZ07pzjrtWQkJBaz1U9VvWaS/n00085ePAg33zzTZ0/22q1YLVa6vy+X+LhYb3of+Xn/dx4TYjvwKodqZSW2/h2SxKP/qpvU8dzOjq+rpzG6soUFpezeqdj9nhQ90hio4Ox2ewmp3J+Or7q5ufGK8DTm3FD2/PFuuMcTsnleHoece2Dmzihc9HxVXduVSCXlZUBjiUV/87Ly/GvyZKSkku+NyMjg7/97W/MnDmTTp3qPuMRGuqPxdLwBXKVwEC/RvvZ7uhS4xUS4s+kER35cu0xdiWeJaeogk5tg0xI53x0fF05jdXPW5ZwmOJSx+zxr2/qqvGqI41X3VxuvKbeFMeybSkUFpfz/Y/JDOvbtomTOScdX1fOrQpkHx9Hk/Dy8vJaz1UVz35+lz44XnjhBSIiInjggQfq9dnZ2YWNNoMcGOhHXl6xZmGuwC+N1+h+bfh20wnKyu18vOwnHrq9jwkpnYeOryunsfplxaUVfLPhOAB9OrcirkOoxusK6fiqmysZr5sGRbN440l2J55lx4F0OjfjCREdXxeEhFzZbp5uVSCHh4cDkJ1du7VLVlbWRa+pafny5axdu5Z3332X8vLy6gLbZnPMghQWFuLl5XXJmekqdruB3d54d8vabHYqKpr3QV0XlxuvFj6eXNevLSu2n2L7oUxOncnX1rfo+KoLjdXlrUhIoaikAoBbRnQENF51pfGqm58brxsGRvPDthRKymws3nCC30/VsjodX1fOrRajREVFERISwpEjR2o9d+TIEby8vOjatWut59auXYthGMycOZMBAwZU/7dz50527tzJgAEDePfdd5viK0gTGDukPZ4eFgzgu63JZscRcQul5TZWbHesPY5rF0zXdsHmBpJmz99XN2dL/bnVDDLA2LFj+frrrzl79mz1bHFRURErVqxg1KhR+PvXni2cNWsWd9xxR63HX3rpJQCeffZZ2rRp07jBpcmEtPRhRJ82rNudxo8Hz3DLiI5EBGtdlsjV2LAnnfwix9W3Sep7LE5izOB2F92c/dCU3mZHEhfhVjPIALNnz8bPz49Zs2axbt06Nm/ezOzZsykuLmbOnDkAJCQk0KNHDxYtWgRATEwMgwYNqvVfy5YtadmyJYMGDVKB7GYmDG2P1WLBbhj88KNmkUWuRnmFnWXbHL9HHVsH0qND7U5CImZo2cKb0f0dN+jtSjxL2tkCkxOJq3CKArm8vLzBdruJjIzkk08+ITw8nDlz5vDQQw9hsVhYsGABsbGxgGNDEZvNht2udTjNVViwH/E9IwHYtP802XmX7m4iIr9s84HT5BY4boS+eXhMo3b0EamrMUPa4VnZ3uw7TYjIFTJtiUVmZiZvvfUW69atIysriw8++IDBgwcD8NZbb3HrrbcSHR1dr5/duXNn5s+ff9nnhw4desl1yv/uww8/rNfni2uYEN+BLQcyqLAZ/JCQwrQba69PF5GfZ7Pb+b5yLX+7iAD6xrYyOZHIxYIDfBjZtzVrd6Wx7acz3DqiIxEh2ilXfp4pM8iZmZlMnTqVzz77jIKCgotmj7Ozs3n77beZPn06GRkZZsSTZqJ1K38Gd48AHOsn8wrLTE4k4nq2/XSGrPOOKzAT4zto9lic0vih7fGwWjAM+P7HFLPjiAswpUCeP38+ubm5vPHGG6xevfqiAjk0NJR//vOf5OXl8b//+79mxJNmZGJ8DABlFfbqO/BF5MrY7UZ1J5io0BYMioswOZHIpYUF+RHfMwqAzVpWJ1fAlAJ5w4YNTJ06lQkTJuDpWXuVR3x8PFOnTmXjxo0mpJPmpF1EAP1iwwBYsyuVwpLam8yIyKXtTDzL6XNFgGP2uDE2SxJpKBPiO2CxgM3uWFYn8nNMKZDPnDlDr169fvY1PXv2JDMzs4kSSXM2aXgMACVlNlbvSDU3jIiLMAyDpVuSAAgL8mVoj0hzA4n8gqjQFgzupmV1cmVMKZB9fHwoLS392dfk5ORcdltokYbUqU0gPWMcbalW7jhFcWmFyYlEnN/e4+c4lelomTVhWIfqLgEizqzmsrqVO7SsTi7PlDNa9+7d+e677y77fHZ2Nh999BHdu3dvwlTSnFXNIheWVLB+T7q5YUScnGEYfFc5exwc4M01vVubG0jkCv37sroiLauTyzClQJ4+fToJCQk88sgjbNu2DYCkpCQ2bNjAG2+8waRJk0hLS2P69OlmxJNmqGu7YGKjgwBYnpBCeYXN5EQizutISi7H0/MAGDekPV6emj0W1zFxeAcAikttrN6pZXVyaab0QR43bhwPPvgg77zzDitXrgTgueeeAxwzExaLhQcffJCxY8eaEU+aIYvFwqT4Dvz9832cLyxj0/6M6t2XRORi321NAiDAz4tR/bTLqLiWzm2C6N4hhEPJOazckcpNg9vh623athDipEw7Ih5++GEmTJjAt99+y7FjxygsLCQgIICuXbsyYcIEOnfubFY0aaZ6d2pFu4gATmUWsOzHZEb1bY2HVTNjIjWdPJ3HwaQcAG4cFK3CQlzSpOExHErOoaC4nPV70hk7pL3ZkcTJmHpm69y5M48++qiZEUSqWSwWJsZ3YP43B8k6X0LCT5nE94oyO5aIU6nqXOHj7cENA+u326mI2bq1D6Zz20COp+WxPCGF6wdEa6mQXERHg0gNg+IiiAx1bEH63Y/J2GtsYiPS3KWdLWD30SwAru/fFn9fL5MTidSPY0IkBoDcgjK2HDhtbiBxOqbMIF9pdwqLxcJPP/3UyGlELrBaLUwY1p73vz9MelYhuxOzGBgXbnYsEafw/Y+OXfM8PayMGdzO5DQiV6dv51ZEhweQeraAZT+mMKKPltXJBaYcCYGBgQQFBdX6z9fXF8MwMAyDLl26qM2bmCK+ZxShgT6A42YkQ7PIImTmFrPtJ8fmTaP6tiYowMfkRCJXp2pZHTiO7+2HtTmZXGDKDHJVa7dLOXPmDP/85z/ZtWsX77//fhOmEnHw9LAybkh7Pll1lKSMfH5KyqFnx1CzY4mY6ofKJUceVgvjhuqGJnEPg7tF8PXGE2TmFPPd1mSGdI/EatGW6eKEa5AjIyP54x//SHR0NK+99prZcaSZGtm3DS1bONZXVrW0EmmucvJL2bTfsUZzWI9IwoK0y6m4B8eyOscsctrZQvYdO2dyInEWTlcgVxkxYgRr1641O4Y0Uz5eHtVrLA+n5HIs9bzJiUTMs2J7ChU2AwswvrKYEHEX8T2jCGnpWDK0VMvqpJLTFsglJSVkZ2ebHUOasdH9o/HzcaxCWqpZZGmmCorLWbfbsf36gLhw2oT5m5xIpGF5eVqr+yCfSM/jcEquuYHEKThdgVxcXMzOnTt5//33iYiIMDuONGMtfD25YaBjN719x8+Rcibf5EQiTW/VjlOUlju2Xq+6oUnE3Vzbtw0BflpWJxc4bZs3wzB46qmnmiCNyOXdOKgdKxJOUVZh5/sfk5k1uZfZkUSaTHFpBat3pgLQq2MoMVGBJicSaRw+3h7cOCiaxRtP8lNSDifS8+jURsd7c2ZKgdy6devLPufl5UVERATjxo1j2rRpTZhKpLbAFt6M6tuGVTtT2X44k9tGFlVvJCLi7tbvSaewpALQ7LG4vxsGRrNsWwqlZTa+25rEw7f3MTuSmMiUAnnNmjVmfKxIvYwb2p61u9Ow2Q2WbUvmP8arP7e4v/IKG8sTUgCIjQ6ia7tgcwOJNDJ/Xy+u79+WZdtS2H00i7SzBbQNDzA7lpjE6dYgizib0EBf4ntFAbB5fwbZeSUmJxJpfJv2Z3C+sAyASfEdsKg3rDQDYwa3w9PDURpV7RwpzVOTzCAvXry43u+99dZbGyyHSH1NGNaBzftOY7MbLE84xV03djE7kkijsdntLKssDtpFBNC7UyuTE4k0jaAAH0b2bc3aXWls+ymTySM7ERGsvt/NUZMUyE899VSdZx8Mw8BisahAFqcQFdqCQd0i2H44k/V705g0vAMtW3ibHUukUSQcyiTrvONKyUTNHkszM35Ie9bvTsduGPywLYV7xsaZHUlM0CQF8oMPPqgTrLi8ifEd2H44k7JyO6t2pHLbqE5mRxJpcHbD4PutjtnjyBA/BsWp3aY0L2HBfgzrGcmWAxls2pfOLdfEEBzgY3YsaWJNUiA//PDDdX5PUVERxcXFjZBGpH7aR7akT+dW7Dt+jtU7Uxk3tH31RiIi7mLv0SzSsgoBx655VqsmN6T5mTCsA1sPZFBhM1ix/RS/Gh1rdiRpYk57k96qVauYMmWK2TFELjKhcpvdotIK1u1OMzmNSMMyDIOllbPHIS19GF55c6pIc9MmzJ8BXcMBWLs7jYLicpMTSVMzbfqrpKSElStXkpaWRkVFxUXPlZaWsmLFCvLy8kxKJ3JpXdsF0zU6iMTU8yzffoobBkbj7eVhdiyRBnEoOYeTpx3n3XFD2lffzS/SHE2I78DOxLOUltlYszOVW0Z0NDuSNCFTCuQzZ84wffp00tLSqm/GA2r9f92gJ85o4vAYEj/bS15hGRv3neaGgdFmRxJpEN9Vzh4H+Hkxqm8bk9OImKtj60B6dgzl4MlsVu44xZgh7fD11rK65sKU6YG///3vpKenM2XKFObMmYNhGMyYMYNHH32UwYMHExgYyPz583nllVfMiCfys3p1DKV9pKN5/A/bUqiw2U1OJHL1jqed51ByDgA3DYrGx1tXRkQmVe4gWVhSwfo96SankaZkSoG8ZcsWpk2bxssvv8xdd90FwJgxY5g1axYLFizgv/7rv/jzn/9MZmamGfFEfpbFYmFSfAwA5/JK2PbTGXMDiTSAqtljPx8PXRURqdS1XTCxbYMA+CEhhfIKTYg0F6YUyOfOnaNPH8ce51VLKmw2W/Xzt99+O4MHD2bu3LlmxBP5RQPiwmndqgXgKCzsdsPkRCL1dyqzgD3HsgC4fkA0LXy9TE4k4hwsFgsTK2eRzxeUsfnAaZMTSVMxpUD28vKqvjGvRYsWWK1WsrOzL3pNfHw8mzdvNiOeyC+yWizVHS0ysovYlXjW5EQi9ffd1iQAvD2t3DSonblhRJxMn86tiA53LKtb9mMyNrtmkZsDUwrkjh07snz5ckcAq5XQ0FDWrFlz0WuysrLIz883I57IFRnaI5KwIF8Alm5NwjA0iyyu50x2EdsPO5azjerbhkB/7RApUpPFYmHScMeEyNncEhIOaflnc2BKgTx+/HjWr1/PAw88AMA111zDd999x3PPPcfKlSt5//33ee+99+jUSTuVifPy9LAyfmh7AFLOFLD/RPYvvEPE+SzbloxhgIfVwrjK41lELjYoLoLI0BrL6jQh4vZMKZB/85vfMHnyZLy9HTMVjzzyCK1ateKzzz7jkUce4dVXX6WoqIhHHnnEjHgiV2xEn9YEVc64VV2mFnEV2XklbN6fAcDwXlGEBvqanEjEOVmtFiYMc/wDMj2rkN1aVuf2TGnol5SUxKuvvlq9Drlt27YsWbKEr776ilOnThEeHs748ePp3LmzGfFErpiXpwdjh7Tns7XHOJp6niMpOcS1DzE7lsgV+SEhBZvdwGK5sEukiFxafM8olmw6ybm8UpZuSWZA1/DqRgPifkwpkCdNmkTv3r257bbbmDhxIkFBQYSGhnL//febEUfkqlzbrw3fbU2isKSC77Ymq0AWl5BXWMaGyr6ug7tduHwsIpfm6WFl3NAOfLwykeQz+Rw4mU3vTq3MjiWNxJQlFoMGDeLAgQO8+OKLjBw5kt///vesX78eu+4MFRfk5+PJjZV3/h84mV29Va+IM1u54xRllT1dJ1b29RaRnzeyT+vqG1mXbkkyN4w0KlMK5I8++oh169bx2GOP0alTJ5YvX86sWbMYNWoUr776KomJiWbEEqm3GwZe2Hns+8oNF0ScVVFJOWt2pQLQLzaMdhEBJicScQ3eXh6MHeyYEKlaVifuyZQCGSAyMpL777+fxYsX8/333zNr1iz8/f15//33mTx5MlOmTOGjjz4yK55InQT4eTG6f1sAdiaeJe1sgcmJRC5v9a40iksdmzNVbYIgIlfmuv5t8fd1rFBdqgkRt2VagVxTp06d+P3vf8/y5cv54osvmDlzJpmZmfzlL38xO5rIFRs7uB2eHo5fqe900hQnVVJWwcrtpwDo1j6YzpXb6IrIlfHz8azejv2gltW5LacokKvs3r2bpUuXsmLFCrKysnR3qLiUoAAfru3bBoBth85wJrvI5EQita3bnU5BcTkAN1/T0eQ0Iq7pxkHtqpfVaS2yezK9QN63bx+vvvoqo0ePZtq0afzrX//Cw8ODOXPmsHr1arPjidTJ+GHt8bBaMAz47kfNIotzKSu38UNCCgCx0UF0ax9sbiARF1VzWd3uo1mkalmd2zGlzdtPP/3EsmXLWLZsGWlpaRiGQVhYGPfccw+TJ0+mR48eZsQSuWqhgb5c07s1G/ams/VABrcMjyEs2M/sWCIAbNx3mrzCMgBuHh6jq3QiV2Hs4Has2pFKhc3Od1uTeeCWnmZHkgZkSoE8ZcoUAHx9fZkwYQKTJ09mxIgRWK2mT2iLXLUJ8R3YtO80NrvBsm0p3D02zuxIIpRX2Pm+8qpGTFRLenUMNTmRiGurWla3elcqCYfOMHlER6LUT9xtmFKRDh06lL/+9a9s3ryZv/3tb4waNUrFsbiNiGA/hvWMBGDjvnRy8ktNTiQCWw6crj4WNXss0jAuWlantchuxZSq9IMPPuC2227D39/fjI8XaXQT4ztgASpsBj9sSzE7jjRzNru9urNKdHgAfbuEmZxIxD2EBvoysk9rALYePENmbrHJiaShaNpWpBG0buXP4O4RAKzfk1a97lPEDD8ePEPW+RIAJg3vgFWzxyINZsKwDnhYLdgNg++3JpkdRxqICmSRRjKpcvvesgo7y7drFlnMYbcb1bPHUaEtGBQXYXIiEfcSFuxHfM8oADbvz+Bc5T9GxbW5ZYF8+PBhZs6cycCBA+nbty8zZswgISHhF9+3ZcsW7rrrLvr27cuQIUOYNm0a69evb4LE4o6iIwLoX3kpe82utOresyJNaceRTDIqe3JPGt4Bq1WzxyINbeLwDlgsYLMbfL9NLT7dgdsVyCkpKUyfPp2cnBxef/115s+fT0BAAPfddx979+697PvWrFnDb37zGwICApg3bx6vvfYaPj4+zJw5k2XLljXhNxB3Mml4DAClZbbq3ctEmordMPi28sah8GBfhvaINDeQiJuKDGnBsMrfr417dXO2O3C7Avmdd97BZrPx7rvvMnr0aOLj43nzzTcJCwtj7ty5l33f3LlziYmJ4Z133mHUqFFce+21vPPOOwQHB/Phhx824TcQd9KxdSC9Ojnaaa3amUpRiWaRpensTswi7WwhABPjY/BQtyCRRjNpeEz1zdnLNIvs8tzqbGkYBqtWrWL48OGEhl7o8ent7c2YMWPYtm0beXm190w3DIPf/e53vPDCC3h5eVU/7ufnR4cOHcjIyGiS/OKebqnczre4tIKVO1JNTiPNhWEYfLv5JACtAn0Y3ivK5EQi7q11K38Gdau6OTud87o526W5VYGcnp5Ofn4+Xbp0qfVcly5dsNvtJCYm1nrOYrEwYcIEhg0bdtHj5eXlJCcn0759+0bLLO4vtm0QPSs3ZVi5/ZRmkaVJ7D6aRUqmY/vbifExeHq41elexCndXLmsrrzCzvIE3ZztykzZSa+xnDt3DoCQkJBaz1U9VvWaKzFv3jxyc3OZNm3aL77WarU0ys0vHpV/1Dz0x+2KOOt4TRnViYMnsykqrWDNrjRuHdXJ7EiA846XM3KlsTIMgyWVs8ehgT5cN6BtkxfIrjRezkDjVTfOOl4xbQIZGBfOziNnWbsrjZuviaFlC2+zYznteDkztyqQy8oclzO8vWsfjFVLJ0pKrqz9ysKFC3nvvfeYMmUKY8aM+cXXh4b6N+rOVIGBfo32s92Rs43XkBB/+nVNZk/iWZZvP8WvxnTD38/rl9/YRJxtvJyZK4zVjwdOk3LGMXv865viCA9raVoWVxgvZ6LxqhtnHK8ZE3qw88h6SsttrNmdzn9M6ml2pGrOOF7Oyq0KZB8fH8CxNOLfVRXPfn6/fHC89dZbzJs3j5tvvpkXX3zxij47O7uw0WaQAwP9yMsrxmazN/jPdzfOPF6T4juwJ/EshcXlfLbyMLeONH8W2ZnHy9m4ylgZhsFHyw4BENrSh4FdwsjJKWzyHK4yXs5C41U3zjxerfy96N81jN2JWSzddJLR/doQ6G/uLLIzj1dTCwm5sl2c3apADg8PByA7O7vWc1lZWRe95nKef/55Fi5cyP3338/jjz9+xbPCdruB3W7UMfGVs9nsVFQ074O6LpxxvDq1DqRHTAg/JeWwfFsK1/ePpoWvc/wKOuN4OStnH6vdR8+SnJEP1Njy3MS8zj5ezkbjVTfOOl63DO/I7sQsSsttfLcliamjY82OBDjveDkjt1qMEhUVRUhICEeOHKn13JEjR/Dy8qJr166Xff/cuXNZtGgRzzzzDE888USjLpmQ5qmqo0VhSQWrd6ovsjQswzBYsikJgJCWPozo08bcQCLNVIeoltUbRa3elUqeOlq4HLcqkAHGjh3Lli1bOHv2bPVjRUVFrFixglGjRuHvf+mp9VWrVjF//nwee+wx7rnnnqaKK81M13bBdO/guGF0xfZTFJdWmJxI3MneY+dIPnNh9tjL0+1O8SIuY/IIx4RIWbmdH7apo4Wrcbuz5+zZs/Hz82PWrFmsW7eOzZs3M3v2bIqLi5kzZw4ACQkJ9OjRg0WLFgFQUVHBK6+8QnR0NEOHDmX//v21/qtawyxytapOmoUlFazaqb7I0jAMw+Cbys4VIS19GKnZYxFTtY9syYCujmWda3alqi+yi3GOBZANKDIykk8++YTXXnuNOXPmYBgG/fr1Y8GCBcTGOtYAGYaBzWbDbnesw8nIyODUKcfl7qlTp17y565evZro6Oim+RLi1qpmkQ8l57AiIYUbB0bj5+N2v4rSxPYeP1e99njCMM0eiziDySM6sivxLGUVdpb9mMyvb6i9T4M4J7f8q9y5c2fmz59/2eeHDh160Trl6OjoS65bFmkst1wTw6HknOpZ5Krm8iL14Vh77Jg9Dg7wZlTf1iYnEhGAdhEB1X2R1+1OY/zQ9gQF+JgdS66AphhETBDXPoRu7YMBWL4tRbvryVXZczSLpItmjz1MTiQiVSZX3pxdVmFnmdYiuwwVyCImua1yN72i0gqWJ6ijhdSP3TD4euMJwLFr3rX92pqcSERqio4IYFCcYy3y2t1p5BaUmpxIroQKZBGTdIkOpnenVgCs2HGK/CLdwCF1t+NwJqlnHRuB3Dw8RmuPRZzQLSM6YgHKK+x8/2Oy2XHkCuhMKmKi20Y5Lr2Vltl06U3qzGa3s3ijY+1xeLAv1/TW2mMRZxQdHsCgbhEArNudTnZeicmJ5JeoQBYxUUxUYHUz+TU7U3XpTerkx4NnyMguAhyb0Hh66JQu4qwmj+iIxQIVNjtLtySZHUd+gc6mIia7bWQnLDhu4Phuqy69yZWpsNn5prJzRetWLYjvGWVyIhH5OW3C/Ble+Xu6cd9pzuQUmZxIfo4KZBGTRUcEMLi749Lb+j1pnDuvS2/yyzbtP01W5bEyeURHrFaLyYlE5JfcMqIjHlYLNrtR/Q9ccU4qkEWcwIVLbwZLtyaZHUecXHmFjW83JwEXr20UEecWHuzHqH6OXS63HTxD6tkCkxPJ5ahAFnECrVv5M7yX49Lbpn2nydSlN/kZ6/akk5PvWK9+26iOWC2aPRZxFTcPj8Hb04oBfL3hhNlx5DJUIIs4iVuuuXDpbUnl7KDIvysts1WvVe/YuiX9YsNMTiQidREc4MMNA6MB2H00ixPpeSYnkktRgSziJMKD/RjZx9Gma+vBDNKyCk1OJM5o9a5U8godPbNvG9kJi2aPRVzO+GEd8PNx7Hj59YbjJqeRS1GBLOJEJg2PwdPDimHAV+t10pSLFRSX833l7HGX6CB6dgw1OZGI1EeAnxdjB7cH4GBSDoeSc0xOJP9OBbKIEwkN9OXGQRcuvR1NzTU3kDiV739Mpqi0AoA7ruus2WMRF3bT4HYE+HkB8NWG4xiGYXIiqUkFsoiTmTCsAy18PAH4fJ1OmuKQnVfCqh2pAPTvEkaX6GBzA4nIVfHz8WTCsA4AHE/LY+/xcyYnkppUIIs4mQA/LybGO06ax1LPs+dYlsmJxBks3nSSCpsdiwWmXNvZ7Dgi0gCuH9CW4ABvAL5cfxy7XRMizkIFsogTumFgNCEtfQD4cv0JnTSbubSzBWzefxqAEb1b0zbM3+REItIQvL08uHVkJwDSzhay+cBpkxNJFRXIIk7I28uDW0d0BCA9SyfN5u7L9ScwDPDytDK58rgQEfdwTe8o2lT+o/frDScoLbeZnEhABbKI0xpe46S5eONJynTSbJYST+VWL7O5cVA0oYG+JicSkYbkYbVyx3WOZVO5BWWs3H7K5EQCKpBFnJaH1crt1zouveXkl7J6V6rJiaSpGYbBF+sc7f78fS/c0CMi7qVv51Z0ax8MOLrVVPU6F/OoQBZxYv1iw4iNDgLguy3JFJaUm5xImtKeo1kcSzsPwMT4GPx9vUxOJCKNwWKxMHV0LAAlZTa+1W6qplOBLOLELBYLUysvvRWVVlRvMSzuz2a38+WGEwCEBvpww8C2JicSkcbUsXUgQ7pHALBuTxpnsotMTtS8qUAWcXJdooPp3yUMgFU7UsnKLTY5kTSFjftOk1653fitIzrh5elhciIRaWy3X9sZD6sFm93gC+2maioVyCIu4I7rOmO1WKiw2fl8nU6a7q6opIKvK2ePo8P9Gd4ryuREItIUwoP9uGGgYzfVnUfOVi+xkqanAlnEBbRu5c/1AxyX2LcfziTxVK65gaRRLd2aRH6RY735XTd0wWrVltIizcWk4TH4Ve6m+tmaY9pN1SQqkEVcxC0jOuLv6zhpfrr6KHadNN3SmZyi6jZP/buE0T0m1OREItKUAvy8mDS8cjfVtPPsPHLW5ETNkwpkERcR4OdVvUlEckY+Ww9kmJxIGsPna49jsxt4WC38qvKudhFpXm4cGE2ryp7ni9YcUx98E6hAFnEh1/VvS+tWLQD4Yv1xSsoqTE4kDelQcg67Eh2zRTcOiiYytIXJiUTEDF6eHtx5veMfyOfySvghIcXkRM2PCmQRF+LpYeXO67sAcL6gjO9/1EnTXdjtBgtXHwUcVwtuHh5jbiARMdXAuPALm4dsTSY7r8TcQM2MCmQRF9Oncyt6dXKsS12ekELWebV9cweb9p/mVGYBALeN6kQLbQoi0qxZLBbuurErFguUVdj5bO0xsyM1KyqQRVzQndd3wWqxUF5hr96KWFxXcWkFX1X2PG0b7s+ovq1NTiQizqBdRADX9Xd0MEo4pA5GTUkFsogLahvmz3X92wCOk+bR1FxzA8lVWbo1ibzKtm6/vr4LHladmkXE4baRnao7GH2yMhG7XR2MmoLOwiIuavKIjrSo7JX58cpEbHa7yYmkPk6fK6xu69YvNoyeHdXWTUQuCPDz4taRnQBIySxgw750kxM1DyqQRVxUyxbe3Daq8qR5poA1u9JMTiR1ZRgGH61IpMJm4Olhqb5rXUSkpuv6tyE63B+Ar9afoLCk3ORE7k8FsogLG92/LR0iWwLw9YYT5BaUmpxI6iLhUCaHknMAmDCsg9q6icgleVit3HVjVwAKistZsinJ3EDNgApkERdmtVq4e2wcFqCkzMaiNbrL2VUUlVRUt3ULD/ZlwrAOJicSEWfWvUMIA+PCAVi9M5WUM/kmJ3JvKpBFXFynNoFcW3mX87afznAwKdvkRHIlFm88wfnCMgCm3xSHt5eHyYlExNndeX0s3l5W7IbBguVHdMNeI1KBLOIGbr+2Ey1bOPrmfrQikfIK3bDnzJIz8lm9KxWAgV3D6dO5lcmJRMQVhAX5cesIx70nJ9LzWLdH9540FhXIIm7A39eLX4123OB1JrtI25I6Mbth8OGKIxgG+Hh5cNeNXcyOJCIu5MZB0bSLCADgy/XHycnXvSeNQQWyiJsY3iuKrtFBACzdkkRmrnbYc0Yb96ZzIj0PcLTqCw30NTmRiLgSTw8r947rhgUoLrXx6apEsyO5JRXIIm7CYrEwY2wcHlbHDnufrEzEMLQ+zZnkFZVV73zYNsyfGwdFm5xIRFxRpzaBXD/Acf7YceQse45lmZzI/ahAFnEj0eEB3DS4HQD7jp9j++FMkxNJTYtWH6OwpAKAu8fG4emhU7CI1M+UazsRHOANwMcrjlBSVmFyIveis7OIm7nlmhhaVV62/2hFInlFZSYnEoA9x7LYejADgGt6R9G1XbC5gUTEpfn5eDL9Jkdv5HN5pSzeeNLkRO5FBbKIm/H19uQ/JnQDHA3lP16h9WlmKywpZ8EPhwEICvDm1zfoxjwRuXoDuobTLzYMgJU7TpGcod7IDUUFsogb6hkTyrX92gCw/XAmO7TUwlQLVx8lt8Axk3/v2G74+3qZnEhE3IHFYmH6TV3x8fLAMOD97w9RYVObz4agAlnETf1qdCyhgT4AfLTiCPlaamGKfcfPsXm/Y2lFfM9I+nUJMzmRiLiTVkG+TBnl6I2cklnAks1J5gZyEyqQRdyUn48n/zHesdQir6icT1YdNTlR81NUUsEHlUsrAv29uevGriYnEhF3dMOgaLq1Dwbg+63J1a0kpf5UIIu4sV4dWzGyT2vAsQ31ziNnTU7UvCxac7S6if+9Y+MI8NPSChFpeFaLhfsmdMfX2wO7YfCPpT9RWm4zO5ZLU4Es4ubuvL4LIS0dSy0+XHGEguJykxM1DwdOnGPjvtMADOsRSf+u4SYnEhF3Fhbsx12VNwBnZBfxZWXPdakfFcgibq6Fryf3jqtcalFYxicr1dWisRWVVPD+ssqlFS28mHaTllaISOMb0ac1fTu3AmDVzlQOJWWbnMh1qUAWaQb6dG7FiN6OpRY//nSGLQdOm5zIfRmGwYLlh6uXVtw9tpuWVohIk7BYLPzH+AvnnH9+f4iiEm0gUh8qkEWaiV/f0IWwIMcGIh8uTyQju8jkRO5p077TJBxytNWL7xnFwDgtrRCRphMU4MM9Y+MAxwYiC1frBu36cMsC+fDhw8ycOZOBAwfSt29fZsyYQUJCQqO9T8QVtPD15IHJPfGwWigttzH/mwOUV6hfZkNKzyrk48olLJEhfswYo6UVItL0BnWLYFiPSAA27T/N9kNnTE7ketyuQE5JSWH69Onk5OTw+uuvM3/+fAICArjvvvvYu3dvg79PxJV0bhPElGsr+2WeKWDRGs0sNJSyyn90lFXY8fSwMGtyL/x8PM2OJSLN1PQxXatv0P7H0p9IzyowOZFrcbsC+Z133sFms/Huu+8yevRo4uPjefPNNwkLC2Pu3LkN/j4RVzN2SHt6dQwFYEXCKRIOZpicyD0sWnOM1LOFAEwdHUuHqJYmJxKR5szf14sHbumJ1WKhuNTGqx/soEyt366YWxXIhmGwatUqhg8fTmhoaPXj3t7ejBkzhm3btpGXV7t5dn3fJ+KKrBYL90/qQZC/NwB/X7ib7LwSk1O5th2HM1m7Ow2AfrFh3Dgw2uREIiLQtV0wt1/nuGp4Iv08H61QF6Mr5VYFcnp6Ovn5+XTp0qXWc126dMFut5OYWPvgqO/7RFxVoL8399/cAwuQX1TG/y4+gN1umB3LJWXlFle3dAtp6cN9E7tjsVhMTiUi4jBuSHv6d3Vscb9ud5q6GF0ht1ogd+7cOQBCQkJqPVf1WNVrGuJ9NVmtFqzWhv+j6OFhveh/5edpvK5c39gwbhnRkW82neRISi5LNp/kjtGxZsdyWpc6tsor7Lz77U8Ul1ZgscDs23oRXLnmr7nT72LdaLzqRuNVN7+7tTfP/mMbmdlFLFh+hE5tgoiOCDA7llNzqwK5rKwMcCyN+HdeXo6egCUltS8l1/d9NYWG+jfqrFFgoF+j/Wx3pPG6Mv9xSy8SU89zKCmbJZuT6NYxjJH925ody6lVHVuGYfA/i3ZzPO08ANPGdmNYXy2t+Hf6XawbjVfdaLyu3B/vGcwT8zZSVm7n7a8P8Majo2jhqx7tl+NWBbKPj2Pmpry89la6VUWwn1/tX6b6vq+m7OzCRptBDgz0Iy+vGJtNLbl+icarbjw8rDx5zyD+MHc9OfmlzF24ixbeVjq1CTQ7mtP592Nr2Y/JrN5+CoB+XcK4aUBbcnIKTU7pPPS7WDcar7rReNWNh4eV2HbB3D02jve/P0Ta2QLe+Hgns2/r1eyWhIWE+F/R69yqQA4PdzTkz86uvbViVlbWRa9piPfVZLcbjbqG02azU6GetVdM43XlWoX48/upfXl5wQ7KK+z8/bM9/OnewdXtgeRiNpudnYczWbjK0SKvbZg/v53Uo9HPAa5Kv4t1o/GqG41X3VzXvw2HkrL58aczbPvpDK1DW3DLiI5mx3JKbrV4JyoqipCQEI4cOVLruSNHjuDl5UXXrrUb99f3fSLuolObQP5zYncAcgvKeOurfWoHdBmpZwt4d8lBDCDAz4tH7uijfsci4hIsFgv3jIujXeX648WbTrJ5v27auxS3KpABxo4dy5YtWzh79mz1Y0VFRaxYsYJRo0bh73/pqfX6vk/EXQzpHsnNw2MAOHk6n/eXHcYwNCNa0/mCUuYu2ktJmQ0Pq4UHb+tFeLDWQIqI6/D19uTRqX2rrxL+a9lhDiXnmJzK+bhdgTx79mz8/PyYNWsW69atY/PmzcyePZvi4mLmzJkDQEJCAj169GDRokV1ep+Iu5s8siMDuzqWE2376QzfbU02OZHzqLDZ+esH2zmbWwzA3WPjiGtfu/ONiIizC2npw6NT++Lr7YHNbvDWV/tJy9I9FDW5XYEcGRnJJ598Qnh4OHPmzOGhhx7CYrGwYMECYmMdLawMw8Bms2G32+v0PhF3V7WJSNXlt682nGDrAe20ZzcM/m/pIQ6ecLR7vGlQO0b1bWNyKhGR+msXEcDsW3tV7rRXwd8/28v5glKzYzkNi6FrqA3i7Nn8Rvm5np5WQkL8yckp1I0IV0DjVTeXG69z50t4ccEO8grLsFjgd5N7MahbhIlJzWMYBh+uSGRd5U55fTq34uHbe+Nhdbv5hQal38W60XjVjcarbn5uvNbvSeODHxz3YMVEteTJaQPw8fYwI2aTCA9veUWv0xleRGppFeTLY3f2w9/XE8OAd5ccZO+xLLNjNTnDMFi4+lh1cdytQwgPqTgWETdybb+2TIzvAEBSRj7vLD5AeYVu0tZZXkQuqV1EAHPu7Iefj2ON2ttfH+BgUu1WiO7sqw0nWLnD0es4pnVL/vu38fh6q2OFiLiX20Z1YmiPSAD2nzjHm1/ub/adjFQgi8hldWwdyB+m9sPHy4MKm515X+wj8VSu2bGaxLebT1bfpBgd7s8Td/XH30+7TomI+7FaLPznxO7VN2kfPJnN/3yxj9JmXCSrQBaRnxUbHcQjt/fGy9NKWYWduZ/v5Xj6ebNjNaoftqXw9caTALRu1YLHft2fli1qb0UvIuIuPD2sPDC5Z/X9JoeSc/ifz/dSUlZhcjJzqEAWkV/UPSaUh6b0xsNqobTMxt8W7uHgSfdbbmEYBks2n+SztccACA/25fFf9yfIX8WxiLg/Tw8rD9zSo3q5xeGUXOZ+tpfi0uZXJKtAFpEr0rtTK353ay88rBZKymz8/fO9bNibbnasBlNhs/PP7w6xuHLmODTQhyfu6q8tt0WkWfGwWvntpB7E94wC4Gjqed74bA9FJeUmJ2taKpBF5IoN6BrOH37VFz8fT2x2g38tO8yX649jd/FukYUl5byxaA+bK3s+t4sI4OkZAwkL0i55ItL8WK2ONckjercG4HhaHi9+sKNZbSaiAllE6qRHTChP3z2QVoG+AHy3NZn3lhx02bZAmbnF/OXDnRxOyQUcfY6fmj6A0MrvJyLSHFmtFv5jQjdGD2gLwJmcYl5asINdiWdNTtY0VCCLSJ21DfPn2XsGEhPlaLiecCiT1xbuIb+ozORkdXM87TwvL9jB6XNFAIwe0JaHb++Nn49auYmIWC0W7h4Txz1j46rvQXnrq/0s3njC5a8c/hIVyCJSL0EBPjw5bQD9u4QBcCz1PM/9X4JLbChis9tZuiWJVz7eRX5RORbg19fHMuOmrtoERETk31zXvy1P3NWfwMoblpdsTuKtL/e79c17+ksgIvXm4+3Bg7f1ZszgdgCcLyzjf77Yxz+/P+S0J87T5wr5y4e7+GrDCWx2A29PK7Nv682YIe2xWCxmxxMRcUpd2wXz3L2D6NjaceVwz7Es/vyv7RxOzjE5WeNQgSwiV8VqtfDrG7rw6NQ+BAU4Zhc27TvNc/+3jUNOtPOe3W6wPCGF/35/OydP5wHQuU0g/33fEAbGhZucTkTE+YUG+vLU9AFc09vR4eJMTjH/36e7+b+lP5HnYkvsfokKZBFpEH06h/Hifw6t7p95Lq+U1xbu4eMViRQUm9se6PS5Qv6/T3axaM0xyivseHpYmHpdZ/44YyBRoS1MzSYi4kq8PD24b0J37pvQnYDK3UU3H8jgmfd+ZMPedLdZm2wxDDf5JiY7eza/UX6up6eVkBB/cnIKqaiwN8pnuBONV9001nhtP5zJh8uPVBfGPt4e3DgwmjGD2zXpjnSpmQUs3ZrE9kOZVJ3oOkS25D8ndSc6PKBOP0vHVt1ovOpG41U3Gq+6aazxyi8q4/N1x9m073T1Y7Ftg/j1DV3o1CawwT6nIYWHt7yi16lAbiAqkJ2DxqtuGnO8zheW8dHyI+ys0RLI28vK9f2jGTu0faPuTpeUkce3m5PYffTCDYOeHhYmxscwMb4Dnh51v3imY6tuNF51o/GqG41X3TT2eB1JyeHDFYmk1+iT3LlNIDcMjGZQt4h6nXMbiwrkJqYC2TlovOqmKcbr5GlHsbqnRncLL08r8T2jGNA1jG7tQ/D28rjqz8krKmP/8XNsO3SGAycurH328rRybb82jB/a4ap2xdOxVTcar7rReNWNxqtummK8Kmx2lieksHRLMqXlF/riB/l7c22/NlzXvy3BAebvTKoCuYmpQHYOGq+6acrxSs7IZ+mWpItmlAG8Pa30iAmlT2wr+nYOu+Ii1jAMUs4UsPd4FvuOn+Nkeh41T2Y+Xh5cP6AtY4Y0zGy1jq260XjVjcarbjReddOU41VUUs6mfadZsyuNzNzi6setFgvtIwPoEh1Ml+ggYqODTCmYVSA3MRXIzkHjVTdmjFdqZgE/JKSw52gWRZdoBdfCx5Pglj4E+XsTHOBDcIA3vj6e5BeWkVtYxvmCUs4XlnG+oOyiWYoqrQJ9ie8VxZjB7apvIGkIOrbqRuNVNxqvutF41Y0Z42U3DPYfP8fqnakcOHnpjkZhQb4M7h7BbSM7NdkyjCstkLVdlIg0qeiIAO6f1IMKm53jaefZe+wce49nVe9mV1RaQVFpxUVr2X6O1WIhNjqIvp1b0adzK9qE+aufsYiIyawWC31jw+gbG8bpc4XsPHKWY2nnOZZ6vnpyJOt8Cct+TGFo90jaR15Z4dpUVCCLiCk8PazEtQ8hrn0Iv7o+ljM5RRxOziE7r5TcglJyCxyzxbkFpRSX2Qhs4U1QgHf1zHJQgDdRoS3o2TEUf9+GmykWEZGG1bqVP5OG+wOOmeXTWYUcTTvP8dTzBAZ4Ex1Rt65CTUEFsog4hciQFkSGqCexiIg7s1ostA0PoG14ANf1a2t2nMtynr4bIiIiIiJOQAWyiIiIiEgNKpBFRERERGpQgSwiIiIiUoMKZBERERGRGlQgi4iIiIjUoAJZRERERKQGFcgiIiIiIjWoQBYRERERqUEFsoiIiIhIDSqQRURERERqsBiGYZgdQkRERETEWWgGWURERESkBhXIIiIiIiI1qEAWEREREalBBbKIiIiISA0qkEVEREREalCBLCIiIiJSgwpkEx0+fJiZM2cycOBA+vbty4wZM0hISGi097m6+n7vLVu2cNddd9G3b1+GDBnCtGnTWL9+fRMkNldDHCfbt2+nW7du3H333Y2U0nnUd7yKiop45ZVXGDVqFH369GHixIksWrSoCRKbqz7jZbfb+eKLL7jjjjsYNGgQffv2ZcqUKXz++edNlNo8hw8fZty4ccTFxXH8+PErek9CQgIzZsygX79+DBgwgJkzZ3L48OFGTuoc6jNe33//Pbfeeiu9e/dm+PDh/Od//ie7d+9u5KTOoT7jVdPixYuJi4vjqaeeaoR0rkkFsklSUlKYPn06OTk5vP7668yfP5+AgADuu+8+9u7d2+Dvc3X1/d5r1qzhN7/5DQEBAcybN4/XXnsNHx8fZs6cybJly5rwGzSthjhOysrK+NOf/kRzaJVe3/Gy2+3MmjWLzz//nN/97nf84x//oE+fPjz33HN8/fXXTfgNmlZ9x+v111/nmWeeoU+fPsybN4+3336bLl268Oyzz/L//t//a8Jv0LQ+/vhjpk6dSkFBwRW/Z+fOndx33334+fnx9ttv8/e//528vDxmzJhBampqI6Y1X33G68MPP+QPf/gDcXFxvPfee7zwwgvk5OQwY8YMty+S6zNeNWVnZ/PKK680cCo3YIgpnnzySaNv377GuXPnqh8rLS01rr32WuPee+9t8Pe5uvp+70mTJhljxowxysrKqh8rKioyhgwZYtx1112NGdlUDXGczJ0714iPjzemTJlizJgxo5GSOof6jte3335rdO3a1fj+++8vevyee+4x/vSnPzVWXNPVd7wGDhxo3HnnnRc9ZrfbjRtuuMG45ZZbGiuuqbZt22b07t3b+Pzzz40333zT6Nq1q3Hs2LFffN+MGTOMa6+91igtLa1+7Ny5c0bfvn2Np59+ujEjm6o+41VRUWEMGjTIuPvuuy96/MyZM0ZcXJzx+OOPN2ZkU9X3+Krp8ccfNyZNmmRcd911xpNPPtlISV2PZpBNYBgGq1atYvjw4YSGhlY/7u3tzZgxY9i2bRt5eXkN9j5XdzXj9bvf/Y4XXngBLy+v6sf9/Pzo0KEDGRkZTZK/qTXEcZKYmMg//vEPHnvsMVq0aNHYkU11NeO1ePFioqKiGDdu3EWPf/DBB/z5z39u1NxmuZrx8vb2rnU8WSwWAgICGjWzmYKDg1m4cCF33HHHFb8nNzeX7du3c9NNN+Ht7V39eGhoKNdccw2rVq1qjKhOoT7jVV5ezvPPP8/jjz9+0eMRERG0atXKbc/1UL/xqmnTpk18++23PP3001gslgZO59pUIJsgPT2d/Px8unTpUuu5Ll26YLfbSUxMbLD3ubr6fm+LxcKECRMYNmzYRY+Xl5eTnJxM+/btGy2zma72OLHb7Tz33HP079+f22+/vTGjOoWrGa+9e/cyYMCAZvWH5WrG6ze/+Q1bt27liy++oLi4mKKiIj799FMOHz7Mvffe29jRTdG1a1d69OhRp/ckJiZiGAZdu3at9VxsbCy5ubmcPn26oSI6lfqMl6+vL5MmTaJPnz4XPZ6dnU1OTo7bnuuhfuNVpbi4mOeff57JkycTHx/fwMlcn6fZAZqjc+fOARASElLruarHql7TEO9zdQ39vefNm0dubi7Tpk1rmIBO5mrH69NPP+XgwYN88803jRPQydR3vPLy8sjLyyMqKoqPP/6YBQsWkJaWRkREBDNmzODee+/Fw8OjccOb4GqOr9/+9re0aNGC//7v/+aZZ54BHFd0Xn31VSZPntxIiV3PlY5x69atmzSXq3n55Zex2+3cddddZkdxSm+++SYFBQU8+eSTZkdxSiqQTVBWVgZw0aWzKlVLAUpKShrsfa6uIb/3woULee+995gyZQpjxoxpuJBO5GrGKyMjg7/97W/MnDmTTp06NV5IJ1Lf8SoqKgJg+fLltGvXjqeffhpvb2+WLl3Kq6++SlZWFv/1X//ViMnNcTXH1/r163n11VcZP348kydPpry8nMWLF/Pcc88REhLCqFGjGi+4CyktLQW4aGlYFXc+1zekuXPnsnTpUh5++GF69epldhync/DgQT744ANeeumli5ZKyQUqkE3g4+MDOC71/7uqPz5+fn4N9j5X11Df+6233mLevHncfPPNvPjiiw0b0olczXi98MILRERE8MADDzReQCdT3/Gqmh0uLy/n3XffxdfXF4D4+HgyMzP54IMPuP/++93uj099x6usrIxnnnmG/v3789prr1U/Pnr0aG6//Xb+/Oc/u/Xa2rqoOpYuNcZVj7njub4h2Gw2nn/+eT7//HN++9vf8tBDD5kdyenYbDb+9Kc/MXDgQKZMmWJ2HKelNcgmCA8PBxzro/5dVlbWRa9piPe5uob43s8//zzz5s3j/vvv57XXXsPT033/bVjf8Vq+fDlr167lj3/8I+Xl5RQWFlJYWIjNZsNms1FYWFhdALmT+o5XcHAwHh4e9OzZs7qgqXLNNddQUVHB0aNHGyGxueo7XklJSZw9e5aRI0fWem7IkCGcOnXKLZeI1UdYWBgAOTk5tZ5z53P91SovL+fBBx/kyy+/5Jlnnql10544fPDBBxw9epSnnnqq+jxfWFiIYRhUVFRQWFhIRUWF2TFN575VghOLiooiJCSEI0eO1HruyJEjeHl5XfLmjPq+z9Vd7feeO3cuixYt4plnnuGee+5pzKhOob7jtXbtWgzDYObMmZf8uQMGDOChhx7i4YcfbvDMZqrveHl5eREbG3vJQtFms1W/xt3Ud7yqlgRc6g9v1ayoO/4DrD7i4uLw8PC47BiHh4cTERFhQjLnZRgGTz/9NJs2beLvf/87Y8eONTuS01q7di1lZWWXnD1OT0/n22+/5a9//Wuzn11WgWySsWPH8vXXX3P27NnqmYCioiJWrFjBqFGj8Pf3b9D3ubr6fu9Vq1Yxf/58Hn/88WZRHFepz3jNmjXrkq2CXnrpJQCeffZZ2rRp07jBTVLf42vChAn8z//8D0ePHr2oq8P69evx8/OjW7duTZK/qdVnvGJjY/H19WXz5s3MmjXroucSEhIIDw8nKiqqSfI7u5YtWzJ8+HB++OEHHn/88eorFGfOnGHr1q266ewSFixYwJIlS5g7d66K41/w7LPPkp+fX+vxRx99lO7du/PAAw/QsWNHE5I5Fy2xMMns2bPx8/Nj1qxZrFu3js2bNzN79myKi4uZM2cO4Pij0aNHj4u2rb2S97mj+oxXRUUFr7zyCtHR0QwdOpT9+/fX+s9dZ6zqM14xMTEMGjSo1n8tW7akZcuWDBo0yG0L5Pr+Ps6YMYP27dtz//33s2zZMrZu3cof//hHtm3bxv333++2PaTrM14tWrTgt7/9LQkJCTz55JNs2LCB9evX8+ijj3LkyBFmz57tlu3yUlNTq883mZmZABw7duyic9DixYvp0aMHmzZtqn7fY489Rn5+Pg8++CBbtmxh7dq1zJo1i6CgILe+R6A+45WXl8ebb75J//79adeu3SXP9e6qPuMVFxd3yXO9t7c3rVq1YtCgQbRq1crMr+UUNINsksjISD755BNee+015syZg2EY9OvXjwULFhAbGws4LhnZbDbsdnud3ueO6jNeGRkZnDp1CoCpU6de8ueuXr2a6OjopvkSTai+x1dzVd/xCggI4KOPPuL111/nhRdeoKCggI4dO/LSSy9d9phzB/Udr4ceeojIyEg+/vhjli1bhsVioUuXLsydO5cJEyaY9XUa1VtvvVVr2/FHHnmk+v+vXr0au91ea6y6d+/Ov/71L9544w1mz56Nh4cH8fHxzJ07t3qNsjuqz3gdOnSIgoICdu/efdkNMy61XMUd1Pf4kl9mMQzDMDuEiIiIiIiz0BILEREREZEaVCCLiIiIiNSgAllEREREpAYVyCIiIiIiNahAFhERERGpQQWyiIiIiEgNKpBFRERERGpQgSwiIiIiUoMKZBGRZmTu3Ln06NGDjRs3NtpnPP744/Tv359Dhw412meIiDQmFcgiIm5m4cKFbNu2rdbjP/zwA/Pnz+fhhx9m5MiRjfb5L7/8Mm3btuV3v/sd58+fb7TPERFpLCqQRUTciM1m49VXXyUhIeGix7Ozs3nuuefo3LkzM2fObNQMPj4+/OUvfyEjI4O//OUvjfpZIiKNQQWyiIgbSUxMpKioqNbj77zzDufPn+fBBx/Ew8Oj0XP06dOHsWPH8s0332iphYi4HBXIIiJu4qmnnuLWW28F4K233iIuLo558+ZRXFzMF198Qdu2bRk/fvxF77n77ruJi4sjNzeX9957j7Fjx9KrVy+GDRvGk08+WWuJRGJiIk888QTXX389vXv3ZtiwYUybNo0lS5bUynPXXXdhGAYLFixotO8sItIYPM0OICIiDWP69Om0aNGCjz/+mHHjxjF+/HhiY2NJSEiguLiYkSNHYrVeel7k5ZdfJiUlhbvvvhtvb2+WLFnC4sWLKS4u5s033wQgNTWVO++8E39/f+6++27atGlDXl4eS5Ys4YknniAvL48ZM2ZU/8yBAwfi7+/PihUrePHFF/H01J8cEXENOluJiLiJ3r17c/ToUQBiY2MZN24cAIsWLQJgxIgRl31vSkoKH3/8cXURO2HCBEaOHMmaNWsoKyvD29ubVatWUVRUxMsvv8yECROq33vnnXfy+9//ntOnT1/0M728vBgyZAhr167l0KFD9O7du0G/r4hIY9ESCxERN5eUlARAx44dL/uaGTNmXDTDGxAQQGxsLOXl5eTk5ABUP5+QkIBhGNWv9fT05O233+aJJ56o9XM7deoEOGafRURchQpkERE3l52dDUBoaOhlXxMTE1PrMV9fXwDKy8sBmDRpErGxsXz66afceOONvPTSS6xcuZKCgoLL/tyqz6zKICLiClQgi4i4ufz8fABatmx52df4+Pj84s8JDg5m4cKF/OEPf8DPz48PP/yQhx56iPj4eP74xz+Sl5dX6z2BgYEXZRARcQVagywi4uaqCuP8/PyfnUW+0p81a9YsZs2axZkzZ9i0aRNffvklX331FRkZGbz//vsXvb6qaP654lxExNloBllExM011jKHyMhIbr/9dj766CN69uzJli1bas0Unzt37qIMIiKuQAWyiIgbqdoEpKSkpPqxqvXFJ0+evKqf/cwzz3DzzTdTXFx80eNWqxVfX188PDxqtZGr+szo6Oir+mwRkaakJRYiIm6kXbt2ACxZsoSQkBDatGnDiBEjWLBgAZs2beKmm26q98++5ppr+Oqrr7jjjju49dZbiYqKoqSkhPXr17Nz587qHslVysvLSUhIICAggO7du1/1dxMRaSoqkEVE3MiAAQOYNm0a33zzDW+99Ra33347jz/+OH5+fmzcuBG73X7ZzUJ+yYQJEwgKCuLDDz/kgw8+IDc3l6CgINq3b8/zzz/Pr3/964tev3PnTgoLC5kyZYo2CRERl2IxajazFBERt/TSSy/x4Ycf8sYbbzBx4sQm+czf//73LF++nK+//lozyCLiUrQGWUSkGZg9ezZBQUG8/fbb2Gy2Rv+8ffv2sXz5ciZPnqziWERcjgpkEZFmIDQ0lD//+c8cP36c9957r1E/q7S0lGeeeYaoqCiefvrpRv0sEZHGoAJZRKSZGDduHLNmzWLevHls3Lix0T7n2WefJTU1lXfeeYegoKBG+xwRkcaiNcgiIiIiIjVoBllEREREpAYVyCIiIiIiNahAFhERERGpQQWyiIiIiEgNKpBFRERERGpQgSwiIiIiUoMKZBERERGRGlQgi4iIiIjUoAJZRERERKSG/x8TDlkkuz7rSQAAAABJRU5ErkJggg==", "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_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 = '3.2.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n", " var is_dev = py_version.indexOf(\"+\") !== -1 || py_version.indexOf(\"-\") !== -1;\n", " var reloading = false;\n", " var Bokeh = root.Bokeh;\n", " var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\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", " if (js_urls == null) js_urls = [];\n", " if (js_modules == null) js_modules = [];\n", " if (js_exports == null) js_exports = {};\n", "\n", " root._bokeh_onload_callbacks.push(callback);\n", "\n", " if (root._bokeh_is_loading > 0) {\n", " console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n", " return null;\n", " }\n", " if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n", " run_callbacks();\n", " return null;\n", " }\n", " if (!reloading) {\n", " console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n", " }\n", "\n", " function on_load() {\n", " root._bokeh_is_loading--;\n", " if (root._bokeh_is_loading === 0) {\n", " console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n", " run_callbacks()\n", " }\n", " }\n", " window._bokeh_on_load = on_load\n", "\n", " function on_error() {\n", " console.error(\"failed to load \" + url);\n", " }\n", "\n", " var skip = [];\n", " if (window.requirejs) {\n", " window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n", " require([\"jspanel\"], function(jsPanel) {\n", "\twindow.jsPanel = jsPanel\n", "\ton_load()\n", " })\n", " require([\"jspanel-modal\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-tooltip\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-hint\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-layout\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-contextmenu\"], function() {\n", "\ton_load()\n", " })\n", " require([\"jspanel-dock\"], function() {\n", "\ton_load()\n", " })\n", " require([\"gridstack\"], function(GridStack) {\n", "\twindow.GridStack = GridStack\n", "\ton_load()\n", " })\n", " require([\"notyf\"], function() {\n", "\ton_load()\n", " })\n", " root._bokeh_is_loading = css_urls.length + 9;\n", " } else {\n", " root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n", " }\n", "\n", " var existing_stylesheets = []\n", " var links = document.getElementsByTagName('link')\n", " for (var i = 0; i < links.length; i++) {\n", " var link = links[i]\n", " if (link.href != null) {\n", "\texisting_stylesheets.push(link.href)\n", " }\n", " }\n", " for (var i = 0; i < css_urls.length; i++) {\n", " var url = css_urls[i];\n", " if (existing_stylesheets.indexOf(url) !== -1) {\n", "\ton_load()\n", "\tcontinue;\n", " }\n", " const element = document.createElement(\"link\");\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.rel = \"stylesheet\";\n", " element.type = \"text/css\";\n", " element.href = url;\n", " console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n", " document.body.appendChild(element);\n", " } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n", " var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n", " for (var i = 0; i < urls.length; i++) {\n", " skip.push(urls[i])\n", " }\n", " } var existing_scripts = []\n", " var scripts = document.getElementsByTagName('script')\n", " for (var i = 0; i < scripts.length; i++) {\n", " var script = scripts[i]\n", " if (script.src != null) {\n", "\texisting_scripts.push(script.src)\n", " }\n", " }\n", " for (var i = 0; i < js_urls.length; i++) {\n", " var url = js_urls[i];\n", " if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.src = url;\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " document.head.appendChild(element);\n", " }\n", " for (var i = 0; i < js_modules.length; i++) {\n", " var url = js_modules[i];\n", " if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onload = on_load;\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.src = url;\n", " element.type = \"module\";\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " document.head.appendChild(element);\n", " }\n", " for (const name in js_exports) {\n", " var url = js_exports[name];\n", " if (skip.indexOf(url) >= 0 || root[name] != null) {\n", "\tif (!window.requirejs) {\n", "\t on_load();\n", "\t}\n", "\tcontinue;\n", " }\n", " var element = document.createElement('script');\n", " element.onerror = on_error;\n", " element.async = false;\n", " element.type = \"module\";\n", " console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n", " element.textContent = `\n", " import ${name} from \"${url}\"\n", " window.${name} = ${name}\n", " window._bokeh_on_load()\n", " `\n", " document.head.appendChild(element);\n", " }\n", " if (!js_urls.length && !js_modules.length) {\n", " on_load()\n", " }\n", " };\n", "\n", " function inject_raw_css(css) {\n", " const element = document.createElement(\"style\");\n", " element.appendChild(document.createTextNode(css));\n", " document.body.appendChild(element);\n", " }\n", "\n", " var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.2.2.min.js\", \"https://cdn.holoviz.org/panel/1.2.3/dist/panel.min.js\"];\n", " var js_modules = [];\n", " var js_exports = {};\n", " var css_urls = [];\n", " var inline_js = [ function(Bokeh) {\n", " Bokeh.set_log_level(\"info\");\n", " },\n", "function(Bokeh) {} // ensure no trailing comma for IE\n", " ];\n", "\n", " function run_inline_js() {\n", " if ((root.Bokeh !== undefined) || (force === true)) {\n", " for (var i = 0; i < inline_js.length; i++) {\n", " inline_js[i].call(root, root.Bokeh);\n", " }\n", " // Cache old bokeh versions\n", " if (Bokeh != undefined && !reloading) {\n", "\tvar NewBokeh = root.Bokeh;\n", "\tif (Bokeh.versions === undefined) {\n", "\t Bokeh.versions = new Map();\n", "\t}\n", "\tif (NewBokeh.version !== Bokeh.version) {\n", "\t Bokeh.versions.set(NewBokeh.version, NewBokeh)\n", "\t}\n", "\troot.Bokeh = Bokeh;\n", " }} else if (Date.now() < root._bokeh_timeout) {\n", " setTimeout(run_inline_js, 100);\n", " } else if (!root._bokeh_failed_load) {\n", " console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n", " root._bokeh_failed_load = true;\n", " }\n", " root._bokeh_is_initializing = false\n", " }\n", "\n", " function load_or_wait() {\n", " // Implement a backoff loop that tries to ensure we do not load multiple\n", " // versions of Bokeh and its dependencies at the same time.\n", " // In recent versions we use the root._bokeh_is_initializing flag\n", " // to determine whether there is an ongoing attempt to initialize\n", " // bokeh, however for backward compatibility we also try to ensure\n", " // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n", " // before older versions are fully initialized.\n", " if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n", " root._bokeh_is_initializing = false;\n", " root._bokeh_onload_callbacks = undefined;\n", " console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n", " load_or_wait();\n", " } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n", " setTimeout(load_or_wait, 100);\n", " } else {\n", " Bokeh = root.Bokeh;\n", " bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\n", " root._bokeh_is_initializing = true\n", " root._bokeh_onload_callbacks = []\n", " if (!reloading && (!bokeh_loaded || is_dev)) {\n", "\troot.Bokeh = undefined;\n", " }\n", " load_libs(css_urls, js_urls, js_modules, js_exports, function() {\n", "\tconsole.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n", "\trun_inline_js();\n", " });\n", " }\n", " }\n", " // Give older versions of the autoload script a head-start to ensure\n", " // they initialize before we start loading newer version.\n", " setTimeout(load_or_wait, 100)\n", "}(window));" ], "application/vnd.holoviews_load.v0+json": "(function(root) {\n function now() {\n return new Date();\n }\n\n var force = true;\n var py_version = '3.2.2'.replace('rc', '-rc.').replace('.dev', '-dev.');\n var is_dev = py_version.indexOf(\"+\") !== -1 || py_version.indexOf(\"-\") !== -1;\n var reloading = false;\n var Bokeh = root.Bokeh;\n var bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && Bokeh.versions.has(py_version)));\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 if (js_urls == null) js_urls = [];\n if (js_modules == null) js_modules = [];\n if (js_exports == null) js_exports = {};\n\n root._bokeh_onload_callbacks.push(callback);\n\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls.length === 0 && js_modules.length === 0 && Object.keys(js_exports).length === 0) {\n run_callbacks();\n return null;\n }\n if (!reloading) {\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n }\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n window._bokeh_on_load = on_load\n\n function on_error() {\n console.error(\"failed to load \" + url);\n }\n\n var skip = [];\n if (window.requirejs) {\n window.requirejs.config({'packages': {}, 'paths': {'jspanel': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/jspanel', 'jspanel-modal': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal', 'jspanel-tooltip': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip', 'jspanel-hint': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint', 'jspanel-layout': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout', 'jspanel-contextmenu': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu', 'jspanel-dock': 'https://cdn.jsdelivr.net/npm/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock', 'gridstack': 'https://cdn.jsdelivr.net/npm/gridstack@7.2.3/dist/gridstack-all', 'notyf': 'https://cdn.jsdelivr.net/npm/notyf@3/notyf.min'}, 'shim': {'jspanel': {'exports': 'jsPanel'}, 'gridstack': {'exports': 'GridStack'}}});\n require([\"jspanel\"], function(jsPanel) {\n\twindow.jsPanel = jsPanel\n\ton_load()\n })\n require([\"jspanel-modal\"], function() {\n\ton_load()\n })\n require([\"jspanel-tooltip\"], function() {\n\ton_load()\n })\n require([\"jspanel-hint\"], function() {\n\ton_load()\n })\n require([\"jspanel-layout\"], function() {\n\ton_load()\n })\n require([\"jspanel-contextmenu\"], function() {\n\ton_load()\n })\n require([\"jspanel-dock\"], function() {\n\ton_load()\n })\n require([\"gridstack\"], function(GridStack) {\n\twindow.GridStack = GridStack\n\ton_load()\n })\n require([\"notyf\"], function() {\n\ton_load()\n })\n root._bokeh_is_loading = css_urls.length + 9;\n } else {\n root._bokeh_is_loading = css_urls.length + js_urls.length + js_modules.length + Object.keys(js_exports).length;\n }\n\n var existing_stylesheets = []\n var links = document.getElementsByTagName('link')\n for (var i = 0; i < links.length; i++) {\n var link = links[i]\n if (link.href != null) {\n\texisting_stylesheets.push(link.href)\n }\n }\n for (var i = 0; i < css_urls.length; i++) {\n var url = css_urls[i];\n if (existing_stylesheets.indexOf(url) !== -1) {\n\ton_load()\n\tcontinue;\n }\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error;\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n } if (((window['jsPanel'] !== undefined) && (!(window['jsPanel'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/jspanel.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/modal/jspanel.modal.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/tooltip/jspanel.tooltip.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/hint/jspanel.hint.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/layout/jspanel.layout.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/contextmenu/jspanel.contextmenu.js', 'https://cdn.holoviz.org/panel/1.2.3/dist/bundled/floatpanel/jspanel4@4.12.0/dist/extensions/dock/jspanel.dock.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['GridStack'] !== undefined) && (!(window['GridStack'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/gridstack/gridstack@7.2.3/dist/gridstack-all.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } if (((window['Notyf'] !== undefined) && (!(window['Notyf'] instanceof HTMLElement))) || window.requirejs) {\n var urls = ['https://cdn.holoviz.org/panel/1.2.3/dist/bundled/notificationarea/notyf@3/notyf.min.js'];\n for (var i = 0; i < urls.length; i++) {\n skip.push(urls[i])\n }\n } var existing_scripts = []\n var scripts = document.getElementsByTagName('script')\n for (var i = 0; i < scripts.length; i++) {\n var script = scripts[i]\n if (script.src != null) {\n\texisting_scripts.push(script.src)\n }\n }\n for (var i = 0; i < js_urls.length; i++) {\n var url = js_urls[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (var i = 0; i < js_modules.length; i++) {\n var url = js_modules[i];\n if (skip.indexOf(url) !== -1 || existing_scripts.indexOf(url) !== -1) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error;\n element.async = false;\n element.src = url;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n for (const name in js_exports) {\n var url = js_exports[name];\n if (skip.indexOf(url) >= 0 || root[name] != null) {\n\tif (!window.requirejs) {\n\t on_load();\n\t}\n\tcontinue;\n }\n var element = document.createElement('script');\n element.onerror = on_error;\n element.async = false;\n element.type = \"module\";\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n element.textContent = `\n import ${name} from \"${url}\"\n window.${name} = ${name}\n window._bokeh_on_load()\n `\n document.head.appendChild(element);\n }\n if (!js_urls.length && !js_modules.length) {\n on_load()\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-3.2.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-3.2.2.min.js\", \"https://cdn.holoviz.org/panel/1.2.3/dist/panel.min.js\"];\n var js_modules = [];\n var js_exports = {};\n var 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not load multiple\n // versions of Bokeh and its dependencies at the same time.\n // In recent versions we use the root._bokeh_is_initializing flag\n // to determine whether there is an ongoing attempt to initialize\n // bokeh, however for backward compatibility we also try to ensure\n // that we do not start loading a newer (Panel>=1.0 and Bokeh>3) version\n // before older versions are fully initialized.\n if (root._bokeh_is_initializing && Date.now() > root._bokeh_timeout) {\n root._bokeh_is_initializing = false;\n root._bokeh_onload_callbacks = undefined;\n console.log(\"Bokeh: BokehJS was loaded multiple times but one version failed to initialize.\");\n load_or_wait();\n } else if (root._bokeh_is_initializing || (typeof root._bokeh_is_initializing === \"undefined\" && root._bokeh_onload_callbacks !== undefined)) {\n setTimeout(load_or_wait, 100);\n } else {\n Bokeh = root.Bokeh;\n bokeh_loaded = Bokeh != null && (Bokeh.version === py_version || (Bokeh.versions !== undefined && 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\n", "
\n", "" ], "text/plain": [ ":DynamicMap [t]\n", " :Overlay\n", " .Image.I :Image [x,y] (field)\n", " .VectorField.I :VectorField [x,y] (angle,mag)" ] }, "execution_count": 41, "metadata": { "application/vnd.holoviews_exec.v0+json": { "id": "p1002" } }, "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", "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", "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$\", figsize=(15, 10))" ] }, { "cell_type": "markdown", "id": "067ef275-9efd-4771-a58f-4790d4253041", "metadata": {}, "source": [ "Now, we can relax the magnetisation." ] }, { "cell_type": "code", "execution_count": 43, "id": "d7cd6e6a-5306-4e89-837f-23b8682363c0", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:05]... (2.1 s)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)\n", "\n", "system.m.orientation.z.sel('z').mpl.scalar(colorbar_label=\"$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", "def time_func(t):\n", " omega = 2 * np.pi / 1e-9\n", " return np.sin(omega * t)\n", "\n", "system.dynamics += mm.Slonczewski(J=J, mp=mp, P=P, Lambda=Lambda, func=time_func, dt=1e-12)" ] }, { "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)[2023/10/23 16:05]... (6.4 s)\n" ] }, { "data": { "image/png": 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" ] }, "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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", 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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_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": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.holoviews_exec.v0+json": "", "text/html": [ "
\n", "
\n", "
\n", "" ], "text/plain": [ ":DynamicMap [t]\n", " :Overlay\n", " .Image.I :Image [x,y] (field)\n", " .VectorField.I :VectorField [x,y] (angle,mag)" ] }, "execution_count": 47, "metadata": { "application/vnd.holoviews_exec.v0+json": { "id": "p1098" } }, "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": "3.10.12" }, "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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nZ6tjx45q0qSJ2rRp43svKipK69at+0XHAQCcJQjK1Ttw4IDefPNNXXbZZfVy0KNHjyotLc2XLS9dutTv/dDQUJWUlNT4+aS2D0kej6yyMsnjkbyWalgDpWF5vf6vnRVD9A6HQwoKkoKccjQLlxUaovKIc1R8YYiOXejUkWhL1oWl6hr1tSLDD+l3zffpPGeRLgwqVKjDq1CHFHS8N+Lng/4/OyIANDqPZcktyWNJR60mcltO/TZyf/0fyIYTvercfb1///56CcoHDhxQWlqa2rRpo7/85S/68ssvVVpa6lenpKSk1ozcKi2TvB5ZJaWSZck6HpiN4HRIx4Oyo2kTqcwtNW0ih8crh9fy+8uvicOrEGe5Qh1uhTrcaub0KtThUIjDqSA55Dz1h3gBQIPyyis5JLfllcdhSd5yubk1tt7UKSjfcsstmjRpkoYMGaK2bdtWeehE5TjxyezatUupqakaMGCAJk6cKKfTqcjISLndbuXl5fkmkblcrtpXFPN6KjLkEwOy5Z9DWj8L0g5n4F+an++z2v17nbJkyeF0+v5QcHit//6/hl04HV45VZEZVwbkoBO+6NUFaC95M4BGFqQgeSxLTR2SLK+CHFaDPTmCxUNqMGXKFEnS/Pnzq7zncDjqFJTz8/OVmpqq4cOHa8SIEb7yc845R3379tXs2bM1Y8YM7du3T2+//bYWLlxY884qu6xP/NeqPUBZnpM2MSC+/TusigDt9VZ0qXu9clR+YU/8gjkkp8NSkMMrp7wKkqUg/TcgN3UESZKcqvmPCaeCGuRcAKAmXllyOiS3JTV1SE0tr+oh56leAwbl3bt369FHH9UXX3yhyMhIPfbYY9VOLn7llVe0ePFiHTt2TImJiZo2bZqvJ/ftt9/W3Llz9eOPP6pHjx6aOXOmIiIiAmpXnYLy3r17AzqIJK1atUqHDh3S/Pnz/YL7XXfdpenTp2vq1KlKSEhQeHi4/vSnP+mqq66qdX8VAa9qhnzanvVVXffNz8ecaxDkqAjKP1cZkIMcdGMDOP08lldOOeSVVdGTZ1X06HnOsGcslpaWKi0tTWlpaRo8eLAyMjI0atQorV+/Xs2aNfPVy8zM1OLFi7V06VJFRERo3Lhxeuqpp5Senq69e/dq6tSpeumll9SxY0dNnz5dDz/8sBYtWhRQ2xrt4ceVF6Amzz77bN139vNuZMt7+h+8aVm+wGx5K7pzTgzTjp9lyTVxOhx+3dYEZACmCHI4TwjMJ5Q30PEaqvt606ZNcjqdGjp0qCQpJSVFS5YsUVZWlm666SZfvYyMDKWkpPgWzxozZoyGDRumKVOm6K233lLfvn19CeT48eMVHx+v/Pz8gLLlOgXlL7/8UjNnztS2bdvkdrurvF+X+5RxckFMlgCABudyuRQdHe1XFhUVpdzcXL+y3Nxcv+Wlo6KiVFRUpO+++065ubmKi4vzvXf++eerRYsWcrlcDR+UH330URUUFGjs2LFq3rz5Lz6Ynfx8gRUbzuwHgMA00C/OoqIihYWF+ZVVdytucXGxQkNDfa8rP1NcXFzlvcr3i4uLA2pbnYLyp59+qpUrV+ryyy8P6GD1xumouEGuksMp3x28Bowp/9KZ3h7LkleWPMcnUlSUeenCBmAEz/E5PN6fzYFpsHm0DfTrPCwsrEoAru5W3NDQUL9bdisDbrNmzWoM4r90ga1KdQrKLVu2PD2Lc9TC4XDIcjokr1N+XwmTuoCrWZK0Jp5qBpq9suSUw/eDAACmqEgivA07yauBdt2uXTu9+uqrfmUul0vJycl+ZdHR0X5d2i6XS+eee65atWql6OhouVwu33uHDh1SQUFBlW7xU1WnoJyWlqbHH39c06ZNU2RkpJzO+s/c6jo9XVLFalnyyBEUJEseORRUpZujvu9Tru0eZb/9V2a1lQG5cnM6JId/M72WQx7LWbHJIY8kjyq+6G6rYoy5MhzXtpAI9ysDqC91WROhMiC7La9vZa8zSXx8vMrKyrRs2TLdfvvtysjIUH5+vnr37u1Xb8CAAZo6dapuuOEGXXzxxZo3b56Sk5PldDqVnJysO++8U7feequuvPJKzZkzR9dcc43OP//8gNpWp6D88ssv68CBA7rpppvkcDiqBOVAJ3rVdXq6T+Uylo5yX2CuyJhPqFLP0wHrvD9fcHb4/m+d5A8C7/EfAu/xzSOr4n/Wf8/J03AdRADgU5ffNZUB2SNLHkty13ZLSQAaavZ1cHCwFi1apPT0dM2ZM0eRkZGaP3++wsPDlZqaqm7duiktLU2JiYk6ePCgRo4cqSNHjighIUETJkyQVPE8h+nTp2vy5Mn64Ycf1K1bNz3xxBMBt81h1aFf+h//+Eet7w8aNCigRmRlZWnq1KnasGGDr6x///4aNWqU3/T0SsaufS39N0Oube3r9pasVqx9DeDM5LEseVSxgEhDrn0dPXtOQJ//8v+Nq6eWNJ46ZcqBBt2Tqev0dB+Ho+LhD5XBTx455Kj7+ten0pVd2z6Dakifncez5KAgX8ZsHe+6thwOVQ6UeI/3ZVd2X3uP3/tX0R1UscJXXfNj8mgAgahrZ2Dl7xq3dbx3z3JUOyemXpxh3eL1ocagPGzYME2cOFGdOnWq0462bdum2bNnVxk8r4u6Tk+v9O7+uad8DADAmYW1r08wZswYjR8/XhEREUpKSlJCQoIuvfRSvzpffPGFNm/erNWrV+vIkSOaOXPmL2pEXaenAwBwNqsxKHfr1k1vvvmm3njjDS1ZskQzZsxQaGiozjvvPHk8Hh0+fFhut1tRUVG68847lZKSouDg4F/UiLpOTwcA2IgNV12qdUw5ODhYd9xxh+644w65XC7t2LFDP/74oxwOh1q2bKnOnTsrMjIy4EbUdXo6AMBG6L6uWVRUlG9R7vpW2/R0AIA92XFM2Zj1Gy+//HItX75c27Zt05o1a6pdOGT37t1KSUlRbGysBg4cqO3btzd6O03w6aef+vUiFBQU6P7771fXrl3Vp08frVy50vdeWVmZJk2apO7du6tXr17VPhP7bJCdna3Bgwera9euuu6667R8+XJJXJtK77zzjpKSkhQXF6d+/fpp/fr1krg+J8rPz1d8fLwyMzMlSQcPHtTdd9+tuLg43XDDDb5yqfbrdjZZvHixOnXqpLi4ON+WnZ3deN8bK8DtDNRoj24M1CkvMHIWsixLb7zxhp588kkFnXA71pQpUxQeHq6NGzcqJydH9957rzp06KDY2FjNnTtXeXl5+uCDD/Tjjz/qnnvuUWRkZLX3f5+pCgoKdN9992nKlCnq16+f9uzZo+HDh6tt27Zavny5ra+NVDE/Y9KkSXrppZfUpUsXbdy4USNGjNC//vUvpaen2/76VJo8ebIOHz7sez1mzBj16tVLL774ojZu3KixY8fq7bffVuvWrWv9mTub7N69W2PHjtUf//hHv/IHH3yQ700DMSZTPpkTn3/ZtGlTpaSkKCIiQllZWae7aY1mwYIFWrp0qd9zqY8dO6b169frwQcfVEhIiDp37qzk5GStWbNGUsXzQEeOHKnmzZvrsssu05133nnSxWDONHl5eUpISFD//v3ldDr1m9/8Rj169NDWrVttf22kiqGn//u//1OXLl1UXl6u/Px8NWvWTMHBwVyf4/7+978rLCxMF198saSKx9V+/vnnuv/++9W0aVMlJCSoe/fuWrt27Ul/5s4me/bsUUxMjF9ZY/7OcViBbWeiOgXlvXv3NnQ7TuqUFxg5C916663KyMjQlVde6Svbv3+/mjRpojZt2vjKKq9LQUGBfvzxR7Vv377Ke2eTmJgYPf30077XBQUFys7OliTbX5tKzZo104EDB9S5c2dNmDBBY8eO1ddff831UcXvlpdfflnp6em+stzcXF1yySV+j+arPP/afubOJsXFxXK5XFq6dKl+97vfKSkpSatWrWrc3zk27L6uU1C++eabNWjQIC1btkyHDh1q6DZV61QXGDkbtWrVqspTp4qKiqo807PyulQ+ZuzE63a2X7OjR48qLS3Nly1zbf7r4osv1o4dO/Tyyy9r1qxZ+vDDD21/fcrLyzVhwgRNnjxZ5513nq+8tt83tf3MnU3y8/PVtWtX3XHHHcrMzNT06dP15JNPKjMzs/G+NwTl6q1bt059+/bVq6++qmuuuUb333+/1q9fr/Ly8oZunw8LjFQvLCzM73mf0n+vS+UPzonX7Wy+ZgcOHNDtt9+uFi1a6LnnnlN4eDjX5gRNmjRR06ZNFR8fr9///vfauXOn7a/PCy+8oJiYGCUkJPiV1/b7prafubNJmzZt9OqrryohIUHBwcHq1q2bBg4cqOzsbNt/bxpSnYJy27ZtNXr0aL333ntatmyZLrzwQk2fPl1XX321Zs6c2Sjd2+3atfN7dqVU0e10YjeJHUVGRsrtdisvL89XVnldzjvvPP3qV7/yu27VDQOcDXbt2qUhQ4aod+/eeuGFFxQaGsq1OS4rK0v/8z//41fmdrvVtm1b21+fd955R2vXrlW3bt3UrVs35eXlady4cXK5XPrmm29UVlbmq1t5bWr7Xp1Ndu3apYULF/qVlZaW6uKLL2607w1jynUQFxen3//+9+rbt6+Ki4v15ptvavDgwRo6dGiVoFmfTlxgxO12a9WqVSwwIumcc85R3759NXv2bBUXF+vTTz/V22+/rf79+0uqeB7oX//6Vx0+fFhfffWVXn31VQ0cOPA0t7p+5efnKzU1VcOHD9fDDz/se7Qo16bCFVdcoZ07d2rNmjXyer3KyspSVlaWbrvtNttfn3/+85/697//rezsbGVnZ6t169aaM2eORo4cqfbt2+svf/mLysrKlJWVpc2bN+vGG2886ffqbBEeHq7nnntO//znP+X1evXxxx9r7dq1+sMf/mD7701DqtOjG6WKyV4ZGRlau3atDh06pISEBA0aNEh9+vTR0aNHNXnyZB04cEBvvfVWgzV27969Sk9PV05OjiIjI5Wenn7W3YJQF5s3b9aDDz6ozZs3S5IOHz6sqVOn6uOPP1Z4eLhGjx6tlJQUSRVdR48//rjef/99ORwO3XXXXX6zt88GCxYs0Ny5c6t0kd11110aPny4ra9NpezsbD3++OP66quvdNlll2nChAnq2bOn7b87P5eYmKgpU6bo2muv1TfffKNHH31U27dvV0REhP785z/r2muvlVT7z9zZ5MMPP9TcuXN14MABXXjhhRo7dqxuvPHGRvvedJwW2MOHch4dG9DnT4c6BeXk5GR9+eWX+vWvf61BgwZpwIABuuCCC/zqvPfee3rkkUf0ySefNFhjAQD2cfljgQXlvVPPvKBcp8VDevXqpaeffrrK/Won6tGjh9599916axgAAHZTp6A8adKkk9Y58XYCAAACdoZO1grEGbPMJgDAZgjKAACY4Uy9rSkQBGUAgJlsGJTPmAdSAABwtiMoAw0oOztbd955Z4Ptf9++fbr11lsbdclboLGwoheAelNaWqrJkydrwoQJDXaMDh06KCYmRosWLWqwYwCnDQ+kAFBfVq9erV/96lfq3Llzgx5n+PDhWrRokY4ePdqgxwEaHUEZQHXeffdddezYUVlZWZIky7I0fPhwDRo0yO+hBSd65ZVXlJSU5Hu9evVq3XjjjVqxYoUSExPVqVMnDR06VF9++aWvTseOHbVy5UrdfvvtuvLKK3XTTTdp+/bt+tvf/qaEhAR16dJF48aN8ztmdHS0LrnkEr3++usNdPYAGgtBGaiDpKQkJScnKz09XceOHdOyZcu0bds2PfPMMwoODq5SPzc3V1999ZX69OnjV37w4EG99dZbmjdvnl5//XUVFBRo+vTpfnXmzJmjESNGKCMjQ+ecc45GjBihDz74QIsWLdITTzyhdevWadWqVX6fSUhI0Icffljv5w2cTowpA6jRo48+qvLyck2ePFmzZ8/Www8/XOMj6T799FOFhYXp0ksv9St3u9167LHH1KlTJ11xxRUaMmSItm/f7ldnyJAhSkxMVLt27TRw4EAVFBQoPT1dv/71r3XDDTcoJiZG+/bt8/tMhw4dtGPHjno9X+C0o/saQE1atGihadOm6d1331W3bt1022231Vg3Pz9fLVq0kMPh8Ct3OByKjIz0vW7evLncbrdfnbZt2/r+HxYWJqfT6RfcQ0NDq3SZX3DBBXK73SooKPhF5wYYiaAMoDa7du1SUFCQ9uzZo0OHDtVYz+FwyOPxVCl3Op1q0sR/zZ6fP6jt5+87HI4qwf3nvF6vb//A2YLuawA12rlzp+bPn69nnnlGERERevTRR2us27JlSx0+fLhKwG0ohw4dUlhYmJo3b94oxwPQMAjKQB2UlZVp4sSJSkxM1E033aQZM2bogw8+0Jo1a6qt37lzZ7nd7ipjvw1l9+7dDX7rFdDoTlP39SuvvKKrr75aXbp00fjx41VUVFRtvW+//Vb33XefevTood/97neaPn26b2jJsix16dJFcXFxvi01NfWkxyYoA3Uwd+5c/fDDD77suHPnzrrrrrs0c+ZMffvtt1XqX3bZZWrXrp02b97cKO3bvHmz+vbt2yjHAhrL6ei+zszM1OLFi7V06VJlZWWpoKBATz31VLV1//SnP+miiy7Sv/71L61Zs0afffaZnn/+eUnS/v37JUlbt27Vtm3btG3bNr344ot1OOfG6l8DbOa1117TG2+8odWrVzfocfbu3as//OEPyszM1LnnntugxwIa05X/b25An/9s9thT/sxDDz2kqKgojRkzRlLFsNWwYcOUnZ2toKAgX72ysjKNHj1aM2fOVMuWLSVJy5Yt0/vvv6+lS5fqnXfe0bJly/T3v//9lI5Ppgw0kMGDB6ugoED//ve/G/Q4S5Ys0fDhwwnIOPs0UPd1eXm5jhw5UmUrLCxUbm6u2rdv76sbFRWloqIifffdd377CA4O1sKFC30BWarIsi+//HJJ0p49e1RYWKiBAwcqPj5eDz74YJV9VIegDDSQ4OBgPf7445o9e3aDHePzzz/X3r17NWLEiAY7BnC22bJli377299W2QYMGKDi4mKFhob66oaFhUmSiouLa9yfZVmaMWOGcnNzNXLkSEkVP/+xsbFavHix1q1bp/DwcD3wwAMnbRvd1wAAI3UeF1j39adzTr37un///ho1apRuuukmSdKxY8fUpUsXZWVl6aKLLqpSv6SkRBMmTFBOTo5efPFFtWnTptr9/vTTT+rZs6c++ugjtWrVqsbjkykDAMx0GmZfR0dHKzc31/fa5XLp3HPPrTaQHj58WHfeeacOHz6sFStW+AXkhQsXateuXb7XlbOyQ0JCaj0+QRkAYKTTMft6wIABWrFihfbt26fCwkLNmzdPycnJVRbmsSxLDzzwgCIiIrR48WKdd955fu/n5ubqySef1E8//aSjR49q5syZ6tu3r1q0aFHr8ZvU+i4AADaSmJiogwcPauTIkTpy5IgSEhJ8z0TPy8tTv379tHbtWn377bfasmWLQkJC1L17d9/nr7jiCr322mt65JFHNHPmTCUlJcntdqtPnz5VHj5THcaUAQBGumpMYGPKO5499THl041MGQBgJhumjARlAICRztSHSgSCoAwAMJMNgzKzrwEAMASZMgDASHRfAwBgCoIyAABmsGOmzJgyAACGIFMGAJjJhpkyQRkAYCaCMgAAZrDjmDJBGQBgJhsGZSZ6AQBgCDJlAICRHDZ8iCFBGQBgJvvFZIIyAMBMTPQCAMAUNgzKTPQCAMAQZMoAACPRfQ0AgCkIygAAmMGOmTJjygAAGIJMGQBgJhtmygRlAICR7Nh9TVAGAJiJZTYBADCDHTNlJnoBAGAIMmUAgJlsmCkTlAEARnJ4T3cLGh9BGQBgJhtmyowpAwCM5LAC236pV155RVdffbW6dOmi8ePHq6ioqNp6n332mWJiYhQXF+fbFixYIEmyLEuzZ89Wz5499dvf/lYzZsyQx+M56bEJygAAHJeZmanFixdr6dKlysrKUkFBgZ566qlq6+7Zs0fXXHONtm3b5tvS0tIkSa+99po2bNigN998U++88462bt2ql1566aTHJygDAMxkWYFtv0BGRoZSUlIUFRWl5s2ba8yYMcrIyKg2y929e7cuv/zyGvdz9913q1WrVmrZsqVGjhypf/zjHyc9PmPKAAAjNdR9yuXl5dV2STudTuXm5ur666/3lUVFRamoqEjfffedWrdu7Vd/z549Cg4OVmJiorxer5KSkjR27FgFBwcrNzdX7du399uPy+WSZVlyOBw1to2gDAAwUwMF5S1btmj48OFVyi+55BIFBQUpNDTUVxYWFiZJKi4urlL//PPPV48ePXTbbbfpxx9/1JgxYzRv3jyNHz9excXFVfbj9XpVVlamkJCQGttGUAYA2EqvXr2Uk5NT7Xv9+/dXaWmp73VlMG7WrFmVupWTuiQpPDxcI0eO1Jw5czR+/HiFhoZW2U+TJk1qDcgSY8oAAEOdjtnX0dHRys3N9b12uVw699xz1apVK796BQUFmjVrlgoLC31lpaWlvqAbHR0tl8vlt5927dqd9PgEZQCAmU7DRK8BAwZoxYoV2rdvnwoLCzVv3jwlJyfL6fQPl82bN9f777+v5557Tm63W/v379eCBQt0yy23+PazePFiffvtt8rPz9f//u//auDAgSc9Pt3XAAAjnY4HUiQmJurgwYMaOXKkjhw5ooSEBE2YMEGSlJeXp379+mnt2rVq3bq1FixYoBkzZqhnz54KDQ3VbbfdprvvvluSNHToUOXn5yslJUVut1v9+/evdhz75xyWZcNnYwEAjHfNgKcD+vy/3vxTPbWk8dB9DQCAIei+BgAYyY7PUyYoAwDM5LVfVCYoAwDMZL+YTFAGAJjJjt3XTPQCAMAQZMoAADPZ8I5dgjIAwEh27L4mKAMAzGTDoMyYMgAAhiBTBgAYycGYMgAAhvCe7gY0PoIyAMBIZMoAAJjCfjGZiV4AAJiCTBkAYCa6rwEAMAOLhwAAYAoyZQAAzOCw4S1RTPQCAMAQZMoAADPRfQ0AgCHsF5MJygAAM9lxRS/GlAEAMASZMgDATDbMlAnKAAAz2fCWKIIyAMBIdhxTJigDAMxkw6DMRC8AAAxBpgwAMJMNM2WCMgDATEz0AgDADKdrotcrr7yixYsX69ixY0pMTNS0adMUHh7uVycvL0/9+vXzKysrK9Oll16q9957T5ZlqWvXrrJOOIeuXbvqxRdfrPXYBGUAgJlOQ1DOzMzU4sWLtXTpUkVERGjcuHF66qmnlJ6e7levdevW2rZtm+/1Dz/8oEGDBmny5MmSpP3790uStm7dKofDUefjM9ELAIDjMjIylJKSoqioKDVv3lxjxoxRRkaGPB5PrZ+bOnWqkpKSdM0110iSdu/erY4dO55SQJYIygAAU1lWYFsNysvLdeTIkSpbYWGhcnNz1b59e1/dqKgoFRUV6bvvvqtxfx9//LG2bt2qhx56yFe2Z88eFRYWauDAgYqPj9eDDz5Y6z4q0X0NADBTA3Vfb9myRcOHD69SfskllygoKEihoaG+srCwMElScXFxjftbuHCh7rnnHjVr1sxXFhwcrNjYWI0ZM0YhISGaOXOmHnjgAb3++uu1to2gDAAwUwPNvu7Vq5dycnKqfa9///4qLS31va4MxicG3BP95z//0SeffKLZs2f7lT/wwAN+rydOnKiePXvq+++/V6tWrWpsG93XAAAcFx0drdzcXN9rl8ulc889t8ZAmpmZqe7du+uCCy7wK1+4cKF27drle11WViZJCgkJqfX4BGUAgJEclhXQ9ksMGDBAK1as0L59+1RYWKh58+YpOTlZTmf14XLHjh2KjY2tUp6bm6snn3xSP/30k44ePaqZM2eqb9++atGiRa3HJygDAMzUQBO9apOYmKh7771XI0eOVJ8+fdS8eXNNmDBBUsW9yXFxccrLy/PV/+abb9SyZcsq+3nkkUd06aWXKikpSX369FHTpk31xBNPnPT4Dsv6hS0HAKABJXX8c0CffzfnyXpqSeNhohcAwEw2zBnpvgYAwBBkygAAM9kwUyYoAwDMRFAGAMAQXoIyAABmsOz3QGUmegEAYAgyZQCAmRhTBgDAEIwpAwBgCBtmyowpAwBgCDJlAICZbJgpE5QBAGYiKAMAYAiv/e5TJigDAMxkw0yZiV4AABiCTBkAYCYbZsoEZQCAmVg8BAAAM1g8kAIAAJwuZMoAADPRfQ0AgCGY6AUAgCFYPAQAAEPYMFNmohcAAIYgUwYAGMmi+xoAAEPYsPuaoAwAMBO3RAEAYAhW9AIAAKcLmTIAwEgW3dcAABjCht3XBGUAgJHsmCkzpgwAgCHIlAEAZrJh97XDsmx4dzYAAAai+xoAAEMQlAEAMARBGQAAQxCUAQAwBEEZAABDEJQBADDE/wdGNjdDNRQXcgAAAABJRU5ErkJggg==\n", 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\n", 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