{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Figure 02: Ground state - more details\n",
"\n",
"Please check out [figure-02-ground-state.ipynb](figure-02-ground-state.ipynb) first. \n",
"\n",
"In this notebook, we add computation of metastable states, and computational of the total energy.\n",
"\n",
"We still focus on two points from the parameter space, as shown in the following figure:\n",
"\n",
"![](\"phase-diagram.webp\")
\n",
"\n",
"More precisely, we are going to simulate:\n",
"\n",
"- $(d, \\mu_{0}H) = (80\\,\\text{nm}, 0.2\\,\\text{T})$ - red dot\n",
"- $(d, \\mu_{0}H) = (160\\,\\text{nm}, 0.3\\,\\text{T})$ - green triangle\n",
"\n",
"The first value is the disk diameter $d$ (thickness is always $10\\,\\text{nm}$) and the second value is an external magnetic field $H$ applied in the out-of-plane direction.\n",
"\n",
"We are going to relax the system starting from the uniform state. The function to simulate a single point in the parameter space is `parameter_space_point`:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import oommfc as oc\n",
"import discretisedfield as df\n",
"%matplotlib inline\n",
"\n",
"def parameter_space_point(d, B, initial_state):\n",
" \"\"\"\n",
" Expected parameters:\n",
" - d : disk diametre [in metres]\n",
" - B : applied field [in Tesla]\n",
" - initial_state: 'skyrmion' or 'uniform'\"\"\"\n",
" thickness = 10e-9\n",
" cell = (2.5e-9, 2.5e-9, 2.5e-9)\n",
" p1 = (-d/2, -d/2, -thickness/2)\n",
" p2 = (d/2, d/2, thickness/2)\n",
" mesh = oc.Mesh(p1=p1, p2=p2, cell=cell)\n",
" \n",
" D = 1.58e-3\n",
" Ms = 3.84e5\n",
" A = 8.78e-12\n",
"\n",
" def Ms_fun(pos):\n",
" x, y, z = pos\n",
" if x**2 + y**2 <= (d/2)**2:\n",
" return Ms\n",
" else:\n",
" return 0\n",
"\n",
" def m_fun(pos):\n",
" x, y, z = pos\n",
" if x**2 + y**2 <= (d/4)**2:\n",
" return (0, 0, -1)\n",
" else:\n",
" return (0, 0, 1)\n",
" \n",
" if initial_state == 'skyrmion':\n",
" value = m_fun\n",
" elif initial_state == 'uniform':\n",
" value = (0, 0, 1)\n",
" \n",
" system = oc.System(name='parameter-space-point')\n",
" system.hamiltonian = oc.Exchange(A=A) + oc.DMI(D=D, crystalclass='T') + oc.Demag() + \\\n",
" oc.Zeeman(H=(0, 0, B/oc.consts.mu0))\n",
" system.m = df.Field(mesh, dim=3, value=value, norm=Ms_fun)\n",
" \n",
" md = oc.MinDriver()\n",
" md.drive(system, overwrite=True)\n",
" \n",
" return system"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Small disk - different initial conditions\n",
"\n",
"We investigate the red dot configuration first: the diametre of this 'small' disk is 80 nm, and the applied field is 0.2T.\n",
"\n",
"### Small disk - Uniform initial configuration"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2019/12/01 12:50: Running OOMMF (parameter-space-point.mif) ... (1.9 s)\n"
]
}
],
"source": [
"system1_uniform = parameter_space_point(80e-9, 0.2, initial_state='uniform')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot the magnetisation in two ways:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "05aa6a8844024f16a7c4c6375857ed4d",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"system1_uniform.m.plane(z=0, n=(20, 20)).k3d_vectors(color_field=system1_uniform.m.z, head_size=20)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"system1_uniform.m.plane(z=0, n=(20, 20)).mpl()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the uniform initial configuratino we obtain this 'quasi-uniform' configuration, which is called 'incomplete skyrmion' in this work."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Small disk - Skyrmion-like initial configuration"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2019/12/01 12:50: Running OOMMF (parameter-space-point.mif) ... (2.1 s)\n"
]
}
],
"source": [
"system1_skyrmion = parameter_space_point(80e-9, 0.2, initial_state='skyrmion')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnetisation is"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0c6616f97c9e49c4945ef4f5889fc7bb",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"system1_skyrmion.m.plane(z=0, n=(20, 20)).k3d_vectors(color_field=system1_skyrmion.m.z, head_size=20)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"system1_skyrmion.m.plane(z=0, n=(20, 20)).mpl()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From a skyrmion-like configuration as the initial configuration, we obtain an skyrmion configuration after minimising the energy (i.e. an isolated skyrmion in the terminology of this work).\n",
"\n",
"We conclude that for a radius of 80nm, both the \"incomplete skyrmion\" and the \"isolated skyrmion\" are meta-stable configurations. We can compare the total energy of the system, to decide which one has the lower energy (and thus is potentially the ground state):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-4.73886616609e-18"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"system1_skyrmion.total_energy()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-5.76984477499e-18"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"system1_uniform.total_energy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We conlude that the 'incomplete skyrmion' (which we obtained starting from the uniform configuration) has the lower energy at this diametre of 80nm."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## We repeat the above study for a large disk\n",
"\n",
"We use a diametre of 160nm (green triangle in the phase diagram show at the top), and an aplied field of 0.3T.\n",
"\n",
"### Large disk - uniform initial configuration"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2019/12/01 12:50: Running OOMMF (parameter-space-point.mif) ... (2.7 s)\n"
]
}
],
"source": [
"system2_uniform = parameter_space_point(160e-9, 0.3, initial_state='uniform')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot the magnetisation in two ways:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0d8548a650da465d99210bd02e35fb09",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"system2_uniform.m.plane(z=0, n=(30, 30)).k3d_vectors(color_field=system2_uniform.m.z, head_size=40)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"system2_uniform.m.plane(z=0, n=(20, 20)).mpl()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the uniform initial configuration, we obtain this 'quasi-uniform' configuration, which is called 'incomplete skyrmion' in this work."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Large disk - Skyrmion-like initial configuration"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2019/12/01 12:50: Running OOMMF (parameter-space-point.mif) ... (2.6 s)\n"
]
}
],
"source": [
"system2_skyrmion = parameter_space_point(160e-9, 0.3, initial_state='skyrmion')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnetisation is"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5b1e511fd7c84cfdbf83aa474eb70972",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"system2_skyrmion.m.plane(z=0, n=(30, 30)).k3d_vectors(color_field=system2_skyrmion.m.z, head_size=40)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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P3yJ91jWYU9R7fJxs+DfmVKmNZCFEZ3/SBVLKLoV8AyvZrcAQ4G+B4r9pUspKACllpRCiw+6UBWzo1L080OYJ/Pvo9o4+hwJjeYUQzUBS5/YgfU44fbYSFkLEAucA/waQUrqllE19NZ9jxZKaiTUjB3R6YvJChxYDGPulI6Ks4FOwnTMREaYicPTgVOpX52PfVU7aJWPRm4OXkhdC0FzazOoHV7L5mY2Y480hFZyr3cszV6zlV6O/4KGJS9mzrDrk+x/YYuf/pm3l6e/t5T+/K6ahKrR9e9WHDfzs8nzefK6Sgp3tKEpo3/NtK1v41byDrF/UhC9ITkSPW6G9xYuUkoYqN7+ds5uCr4I/XWx4vZANrxdSld+MVCQfPbyDQzsausl5nV5W/nw5qx9cSfnaQyhehaLPCqj+qqqbrDk1lrbCavb87E1qvtiF4vHhbmyj+avSbrKxl56Lddww6v7yH1q++BLp9a90PRXdz2vcyPFkXHod1cs/om79siOrYjVPTicTHRtzkQ6gTko5sdPRrZK6lNInpRwHZONf1YZzDwp2Ucsw7cfa54TTlyvhQUAt8LIQYiz+O+K9Ukr1iW1PAurWLUUfFU3GJfMxJ4de4Uivj4ZX38ec2x9DQiy2cyeFlHU3tlH4zOekXTaOmkU7Sb0keOIegLo9tRQvLiIxLxFTrJmBswYFlXO1ednxaSXmaANSwqR52YycmdZNzutRyN9sZ9vSBtrtPvaub2HY5DgS07tvLm1e2sz+bW0U7WmneJ+D4n0OHK0++udlojN3vc6f/GERToeCs03h4I52/nh3CedckcDdT+eg138tW1/h4n9/KsNh9+FxKZQfaOeJ7+zhvOvT+M4v+3dZFY+5LJvSLfV89V4ZNQdbqMpvJn9FJVc9Pp4RszKPyBksBi7860XYD9sp/ryQXa/uxNPmpq2yjQtfmE3y8OQjssa4KPrdOI3MuW5qFu1k7wNvYcmMp3FTEWOevwlzWtcgEeuooViGD6Z11WZq/vBPoqdPpPnDZWQ89hN01q7nzBSfRL/536dx2zrK3lpA4sRpNH61npxrbw/6nZ2s+HrZT1hK2SSEWInfJFAthMgIrIIzgJqAWDnQORw0GzgcaM8O0t65T7kQwgDEAQ2B9hlH9VnZix+pR/SlEjYA44F7Ao8hf8ZvhP9NZyEhxO34je7knGQJVOo3rcRrbyZt1pywcorDSd3f3yJ60hiizx6P4nKHLFrZvKOMQ6+sYcCPzseWl0HStKFBV8HuVjdfvbgVV5OL6Y+eS0tpM9aUqKCr4FUvFbNvZS0Trsrk9lfO5O2f7+Li+4LnQHj/z+UYTIJz5qYiBKRkW7joluARUkazYMpFcVxzRxp3nb+XO3+fw5kXBE+2/sCLA9HpBLvW2/n7g4e44f5MpsyO6zbf9IFW7nk+D4D1H9fRWFPG9DmpTJuT0s0sEZVgZviFmQy/MJOK3Y38+7trSB5go2BtNQPOTCIqoasSjMmMYcxt48i9aigfzH0PT7uHZT/5gkv+fRkx2V0DSPRWExlXTyT14jFs//6/8bY4yH/0A0Y+c32370Po9cScP4XoyWOpevRv+OqbaHr7MxK/d3W38yCEjsQJ04geMJSSV55FcbtoLdyHbbD6QJO+RCLw9cIDtBAiBfAEFLAVuAD/xtlHwM3Ak4H/fxjo8hHwXyHEM0Am/g24TVJKnxDCHtjU2wjcBPy1U5+bgfXAXGB5wGtiMfBEp824WcAvv/GHOkb6UgmXA+VSyo2BvxcS2AntTOAxZgH4w5ZP3PTC07B1Le66atIvnhfWvultbKH+728Rd+X5WEYMAQipgCve3kDrwWqG/e4aDDa/u1bUgOAuU1ue20TOjP5kT/MvDqJSQpvTR89K45xbBhyZ5w3PjUMfIj3kvJ99faOLTcoiIS10xNy46X7F5XErPP1hHsmZoWV1Aftq5gAzzy0ahtEU+Yecd2YMTy0940jfcETFm7h/zWyssZEj/Nx2N+f96QKi06OJSolCbwwdfOCsaCL9yvHojAZ0Rj3uOjvWrMSgsp7qOkw5mRhSEnGXV+Eur8KUHfzpyFFRiikpFU9TA9XLPyJ64FCE7tQIglDUeT9EIgN4NWAX1gHvSCk/EUKsB94RQtwGlAHzAKSUe4QQ7wB7AS9wl5SyY6fzDr52Ufs8cIDf1Pm6EKIA/wr4usBYDUKI3wGbA3KPSim727FOEH2mhKWUVUKIQ0KIPCllPjAT/wk+6WkrPYjzcBkZl16HEOEvyLY1W0i44QpM/SJvxsSNH0Dm/MmqNq2m/nqa6vkmZndV0Caruh97OAXcGaNJF1YBdyYpQ50cENQEEoqE7PAbY52JGxBP3AB1stGDU4kerM4n2TyoH+a7gle3Ppr4MWcSP+ZMAHwuJ5wiOVz8CXy+uRKWUu4EzgjSXo9fFwTr8zjweJD2LUA3e7KU0klAiQd57SXgpZ7N+vjQ194R9wBvBDwjioBb+ng+qojqN5iofoNCppfsTNwV50eU6cCWe+rummscO3rzqROGLhF4tLDlXqVPlbCUcjtwymVaUqN8NTS+jUiJ2mAMDZX09Ur4pKAnocjms+tUy56VWqFKbkJMieoxx1nKVMsON7lVy9qE+kd/fQQTzLHiky2qZeuju7uMhaLIo36luT1W3ebv1oQBqsfclqzeBbUn12LfhDirC8bQUI92SwuDlBJnbWWP5DU0eoOeROOdSCT0VtiyRgDtbIXAUXmI0v88T+OWNRFlfe0uaj7cxOGXlkeUBXA2OWkoUJ+0R+PkRfGqU5aexlYaV+1RJeuqq6b8vVdQvJ5vMrXjhg9dxENDPdrZCkLL/h2Uvv4XHOXFGOOCuyN1UPf5Nvbc8jyH/7kUY4ItpJzP7aNoSQlL7lvGmxe/g70ifKSUvd7Nlk9reOM3+dgb1JkVnI6Tc/V0vNmx00NJSfdqH6HYvtER9qnl8IE2yvZ8/f04WoOPLaVkxYOrOPDxwYhPQYYYK217y6n459KIeUDMyWnEjZ5IxXuvonjUm5ROBBKBIiMfGurRlHAQYvLGED1wGObUzIhKOPGCMZiSYkAniB4e2vanM+hw210cWlOOzqAjc1LoEjEFW5v57cWbePln+6grdxKTGNytq61V4dlH6rnr2kounVDK5++2BpUDqKv3sWmLi3UbXOzdF3mFdTKYVg5VqFOsn37mYM7ceoqKwsu/+IcGXniygb8/3chrfwudPMli07PslXJe++V+akod/OPO3fi83c+HEIIZj52DvaKV5T9fSXudg8JFRbjs3RWnMOjJvuMiLP2SKH5sIV67A8XlwVMf/GYcmzeG+PFTKX/3Zb8LGyB96m80xwt/yXtDxENDPZoSDkLzrs2YUzPpf/2dWLMGhJWtfH0VyZdPJPPWmVgHh3YxU3wK5esrGHvrGLImZ2K0Bs8FAZCcbSFzaDQmq47p12aGlIu26UhI0rF9k5OoaB2Xze9eS60Ds1nwvdsbuGJeHc0tkVfMny5p5477a1UpY6dT4f3PQt8AOlNR6WX1eocq2Seea2TVuvCyUkqWL3dRWaUwZ154RfyjBxJIzzKwa6uLBX9qZPUXwSPkEzMt3PL0cKbNz+Dvd+7m4OZmlr50KKis3qhnwo/OYPRNo1j+y5VsfXEbO1/eGXIOSbPPIHXeWRT/7n9UvraKmg82hZSNGTKCxEkzKH/vZVqL9tOwdW1I2ROHwKfi0FCPdss6Ck9LE807N5HznR8h9Ab01tCRaA0rdqM43CRfPD7smIpPYfVv1zJw5gAGzx5EW03o9BiHD7bx5sMHuO6RXA5sbGLM+aETkn/0ZguF+R5mX23jzGkWjKbQF3+MTceP74yhoVHhrMmRPSEuPDeK86dZVQWOWCw6rr4ktCmmM1kZBrIy1F12LzyVHPH96+sVbr4pmsGD9AwebCA1NfS6QgiBo03hqu/GYI3SUVHqRVFkyIg8k1WP2+HDaNHx2fMljJqRSNbQ4J8zaWgi0SlR1OyoYc/b+xg2dxgxmcFlbSP6kTT7DMqe+Rid1UT6dWejjw7uwWEblIfX3sShtxdgSc8madKMsOfjeCPptYg5jQCaEu6ElJKqxe+SdsFVCH34U9N+sJLG5bsY+ND88GMqki+fWE/mxAwGz/Yn14lODR7dJaVk5X8quPWZESSkm0P+4Ds479JoLr8uhurDPlLSIzvQX39tFFFWdasUs1kQPNnUiUPNDSA5Wc+NN6jPgPrdH8Wrls0eZuOx5VMA8Hll2OxwUpGMvnEU/c/rj728hfr8+pBKWPF48TS0Ejspl7b95dQv3k7qnClBZX1OB23F+QiDAWdVOa76GsxJ6quKHA+0lW7voinhTjTv3IglPRtLenZYOalIqv67hpz7rkAXJu8A+BXroFkDyZoc2qzQgRCC638bPLFOMGJi/e+dnqXua4yN0VYwx4reINCHUT4Gi4Hk4UkkD49cSklnNJA211+/QEqJryW0yUVvsZJ11U3+RD9F+/G12aEPlbCUQlsJ9zKaEu6EKSmNuFFnRpQTOsHA38yLmPQbQKfXqVLAGqcnQggMcZFX8jqTmdhhoVOanij8G3Na2HJvoinhTkRlD1Qtq0YBa2h8+xBaMEYvoylh1FdFBvWhyADT4/JVyZ1tLVE95gCDevuntwdfb4WvXbVsk3J8Lpt4nXoXrCy9+vOQpD4imxS9uu8sSqf+mukJS/NCe7icDPg35rQFSG+i3dLC4Dlcg/NASV9PQ+M0Q0qJu/RwZME+QouY6120sxUEqSi0fLaayof+iq8hctk7R6OT9U9vpLlUXfVkZ9upU3X3ZAja6EvCeUR0oPYcHfy0MKx7Yqc3pfn9pTh2H1Q17olEi5jrfTQlHAT7orU0f7QMvF50ltAZuLwuHztf3cXCOe+x73/7iU4Ln1i8pszJ648W84/7ClTNw+GQOBy9qwS9QSK/QrH9KzeffuxUJbtulZOGOnU3l5JCDxVl6k0PlZUn/qbl80na2xX+8Hj48PLWJi9//lE+zXX+KLmW+tDRiMnDElnxq1URQ9aFXk/SD6+l5eMVuMvUJ5A6Uags9KmhEu1sBSHmorMx5WRiGTsMYQ1tUBQCrElWPG0eolKsGCyhbaWbF9Xz4CU7WP5GNdl5oe2ZbrdkxVIn9/24ifOmqotYs7cquN3qlOvDv29i287I9sy9ez3cfGMj/1zQTsHB0ArT55P87Y/N3H1zHauWOlm/OrTSPlzu5ZH7G7jmgmqaGhXszaEj9woOevnLc63MvrCOvzwXORpPUSQtdnW5M75YGdn+XVbq49qrG3j5n+1sXB/6fNniDVx1TzbP332Ate/X8upDRSFlEwYnMP2haax6eA1NJc2UrCgNmQBIZzWTfMd1NLz2Id56/9OY9J4EYcsSPIou4qGhHu1sBaF1xSaizhxNyj03YOoXOseD3qSnZlctMx47h4EXhPesOOP8BIacEUNcipHB40IHYZQUe3n+z218/IGTCWcaiYoK/xVV13q5aH4lehVeQwVFHjZtc7FyTfjVbXGxl5uub6SlWVJc7CUpOfgcfD7JQz9t5F9/tSMl5O9xk5IWfCLtbQp/erSJD99pR1Hg9X/Z2bIhtHLLz/fy8r/byN/v5eCByMrnnQ/bePuDyMq6tU3ho0VtVFaHH7Om2kf5If8K/IlH7fh8oW9yA0bZuOmRgbzy6yK+WtZIVXFov9+4nFhmPHYOax9fx7onN1CxIbTtVx8fS9Ktc6j/x9u0bdxJ65qtET7d8cdvjtBFPDTUo3lHHIXS5qB9005SH/g+wqBHGEJrt0PrypE+fzDGwAsHhB33v0+UMv2aFFL6WUgfGNrEkTvUQFaWDp3OyKzZkZORp6UYWPxORpey8aEYMsjIkvcjl1AaMEDP0hXJHD7so6LCR021j4SE7j8svV7w2HMJ3HS7jbUrnFisgiF5wXNiREXr+NOCZPL3uPn33+zMv9HG+EmhnzIuvczCxIlG7r+vmRtuiuwJcd3VtrCKsgNbtI7nnwxePLUzZ0428fnyZMrL/Mq4rlYhLURUopSSvetbGDTWRsnuVha/XMnNjw4KObb9cCv2Qy04G50ULCqk37TQwUGG9GRMQ3Kof/FNrBNHEXPe5IhzP95oEXO9i6aEjwnAGPsAACAASURBVKL5o2XEXnpuWOUL4Gp2seOlncx67gIgfIht6d42zFYdU6+K/OMXQvDcC/GUlvhISlK3ooix9e7KQwhBfIIgPkHHiJGhEw11yOaNNJE3Ul0Bz7yRJp56IUmVwkxL1/PqfxJobFRnalFzI1KLTidIT9eTnq5n4qTwskIILrolg4tuycDrUagqDv+kkX5GGrP+ciGH1hyiYuNhPG0ejNHBz7Ovvglfkx0MBlz7CpGK0qfltTQXtd6nz58bhBB6IcRXQohP+nounqpaPFX1WMbkRZRtLGxkwh3jMdkiK5/+I6KZ/4C6sjngVwADBxmIjevzr+e4oVZhCiFITDx1zoPBqCN7aPiVuxCCpKGJjLttLJcuuBhDVOi1kCElkeTb55P13C+Ivfw8fI3qS0AdH3rHHCGE6CeEWCGE2CeE2COEuDfQniiEWCKEOBj4f0KnPr8UQhQIIfKFEBd1ap8ghNgVeO0vIrAiEkKYhRBvB9o3CiEGdOpzc+A9Dgohbu7FE9RjToar+15gX19PAkAYDCR89zJViWPSx6eTMUF9dWQ1Y2qcnqi5NvS2aGJnT8eQpD4B0fFCCdSZC3eowAvcJ6UcDkwB7hJCjAB+ASyTUuYCywJ/E3jtOmAkMBt4QQjR8bj6InA7kBs4ZgfabwMapZRDgGeBPwTGSgQeBiYDk4CHOyv7E02fKmEhRDZwKfCvvpxHB4bkBIypkROwaGicrvi9I/QRj8jjyEop5bbAv+34F2JZwJXAqwGxV4GrAv++EnhLSumSUhYDBcAkIUQGECulXC/9rkSvHdWnY6yFwMzAKvkiYImUskFK2Qgs4WvFfcLpa5vwc8ADQMhYTSHE7fjvcuTkqH+kH/SnZ4K2S58PhOhiV8sarb7eW08qI6sNRx5sVJeLF6CxB+HFH7epP1/b2gaolq1yxqqW7QnpFvWP2hfG7VYtO9XcoFpW/XdRonrMdkV93PS+jDTVsoP/GPwaD0bhz36qWjYcHcEaKkgWQmzp9PcCKeWCYIIBM8EZwEYgTUpZCX5FLYToSBmXBWzo1K080OYJ/Pvo9o4+hwJjeYUQzUBS5/YgfU44fbYSFkJcBtRIKcP63UgpF0gpJ0opJ6akRN7YCofidFL98kv4WiO7MkkpqV4UukKChsbxpGVPOd5WdYEy9R9/hLfpxBWOVWmOqOv43QaOUArYBrwL/ERKGe4uHEzzyzDtx9rnhNOX5oizgSuEECXAW8D5Qoj/HK838zY3U/niCzj270dpD7+aVNxeCp9ZRNGzi9QFS9S72fxJdW9Ntcec7qHFJwtuV/jvweNW2PpZjaqxpMdH0XOLVX23tvETqHvv3RNyHXR4R/RG2LIQwohfAb8hpXwv0FwdMDEQ+H/HCSsH+nXqng0cDrRnB2nv0kcIYQDigIYwY/UJfaaEpZS/lFJmSykH4De4L5dS3nCc3ovWbVvxtfmVr68tdPy+4vaS/+gH1H6xy983QknzbYtreezyLRRsiZw3QkrJ8iXOHoUOq+Hv/2qjoTFytFj5gXYURdJu9/LqQ0WU7Q99HuxVX7/WUNTMxn/sDvojVzw+mou6Pu5LKYPKtte0cvjL0ojzVLwKlTvq2PLSXryu8CHLrS0+6io9HC52UbzPgbP9xFecbmxUWLXCxc/ubQrremcwCvava2T9+1UAuB2hP1vcuP5YByRT9dG2iO9vzsrCnNMf+4b1PZ/8MdBL3hEC+DewT0rZ2a7yEdDhrXAz8GGn9usCHg8D8W/AbQqYLuxCiCmBMW86qk/HWHPx6xgJLAZmCSESAhtyswJtfUJf24RPCEII4s6dQfuePSRffXXY3WidycDQB69g78/fRnF7kR4vhKiesX9dI+8/VUhrowdLdPjNiP37PPz+UTv793nYuD2y3a+h0UdiQuQNDkWR/P2fbSz4dxtLP0smKTF4H8Un+dcvChk/M4Fda5q4/I4scoYFz3VxYHEZxavKyZ2Vw+53C7HEmRhz7dBu581R28a6Xy0hY2oOjpo2GvbV0rivFk+bm/H3TyN2gH/Dub2mlf2vb6f4o/0MnjMSS4K1yzixgxKPhHwXLD3Eskc34W71kDEumbyL+2NLjwr5nW1a2sJz9/vTi44/x8Zv/tU/7Plav9HFx586SU/XMW6siXPODm+vrW/whTynHRgN8JtfNFNVqXDDZg+TpgR3WxRCcN3Dufzz3r0IAfvWNnLLH4eHHDf7O2ex/5H3iBmeiTUnCSTorcHHjj/vfCr/uQDr0DyMSUlIKY+LR46UAm/vRMSdDdwI7BJCbA+0/Qp4EnhHCHEbUAbM87+v3COEeAfYi9+z4i4pZcdd7A7gFcAKfB44wK/kXxdCFOBfAV8XGKtBCPE7YHNA7lEppfqNg17mpFDCUsqVwMrj+R6O/HysQ4YQNXJkRNmaz3eSdtk4kqbnhQ3aGDY1gbwpCeiNAost9KmsKPfxyIMtbNviYdQYdad8x14X0yZZMRrD/5A2bnbjdktmz7JQWBRaYax5t4bSPW1UFzt4/POxJKYHVz6VO+pY+vAGfG4FW1oUMx+eRHSytZtc3Y4q1j24BFeDA1ejA6EXJI1OY8jckZhiuo5du62SynWHUDwK9tImKlaXdHk9Ks12RAkPnpmNs8nFqqe3YU0ws/6FXbRWtWGwGhgwLZMx83O79D1/TgJFe5189HI97a0Kbz9fw6U3JBGXFPw8jx9n4t6fNVFU7GPtssh7DFt3upg1I7zf7xeLXFgs/u/pkw8dIZUwgN6oO1LF2WDW4XErGE3BlZrQ6xj804s58OgHGOKjyJwzkdjR/ULI6km++mrq3ltI7Flno4+OwjIwdNTeN6E3gjWklGsJXcRwZog+jwOPB2nfAowK0u4koMSDvPYS8JLa+R5PTgolfCKwb9xA0lVXRZRTPD7q1+Qz4qnrItaPO7TXjtvh49bHR+Cwh85FkJWtZ848K+kZetQuTs47W13S8uF5RnZvTQsb/OBq9/HlB3WMmBpHUoaJ4l1tQZWwz6Ow98MiUkck4m71oDfpgypggNiBCUy4fxrVmytoLmwgd94oDNbgUV/9Z+fSb+YgSj4/iKfVRd71ocv0CCEYNXcIKcMTsFe1M2SmX+m42zy01wffqLrlF+m02X3c8/ssNi21s3N9G9MviwsqazYLfv9oHBs2uckbGvnyj6SAAebMs3L1XAsFB7xs2hg6ixr47cI1pQ5SB1ipLnZQvL2FoZNC+/62HajC09KOfW8FceNyQiphAJ3FivT5qH7tFVLmzT8uSliLmOt9Tgsl7G1sBASG+Mj+2HUr95E4fWhEBQzwyV9KmPfgEACsMeFP5Zx5VuZea6WmpndtlvHxkR8NzVF6fvXfyE8AeqOOmQ9FiNENYIo1k3XuQLLO9ScuirQppDPqGXTFMFVjA6SNTCJt5Nc+26ZoI6YQob16g+DuJ7LQ6QRTZkV2n5t5noWzpph69XFdCEFunpHcELkzOjCadJx/czbn3ZTFwc3NyAj5imNHZ5M6azSHF26mvag2rKynvh7F5QIp8dTX9/gzqEVTwr3LaaGEWzZsIGZK8JLinZFSUrN4J8N/N1fVuDc8nkdMkrqcCQaD/8JNV1Ga/lSkryMCe5o3Israt8GiQoiwK+AO9FFmsq6dQvrlZ9C8vSysrHXQILLuuZfWr7bhrqrqral2oQd+whoqOS2UsCEhAevQyKXkhRDk/eaqkJsfR6NWAWtofFP0UWYSp+ZGlBM6HTETJh5XdzWVYckaKvn2KuHMr+2HsXPGAe6QornxnR7z4gFCu26Ns4RfjXRGbVHOnkTBfdiDyLZXyqaqlq2oU5+TwNt+fC4bQ5T6pOUlWerDy2vTvlIte2V0iSq5nhRc7ck1szFevR23Kiu43buD46GGpQSvlrS9V/n2KuEQ+Noc6KODbzZpaJyKSCnBp0RMv9pbaOaI3uW0uqW5Cg5R89ybqmS9Ti8VG9SXt9fQ6E08Dg+HVV5/ju0HaPpw5fGdUACt0Gfvc9ooYVdRBVVPvoKrqDyivczd6mbZT76geFGhqrFbWxQ8Kmu8qUVNld/OeNwKi/6l/qbhKG9k3+MfR9yd78Bnb8dTe+LyE6jB6/Agfeq9TU6G8G6nQ8HeErlwqd6kZ/drO2mtipznxDpuKM79pXjr1VX7/qZIKSIeGuo5LZSw9HhpXfMV6HRIh8tfqSAErmYXS+5ZTPVX1bRVRy5PfqjYw+1zDtPU2LsVgX/+62Y2bo5ckLO51o2Ukjd+W0RiprpsXQ2biznwzGIG3Dodoev+g5Herz+L0u6kceFyqp/5L76m7grBXdE1Z4aUEk9NPc78rgUvfS2tNL3/BYojdFIaX0sb9lXbqHv1UyoeWUD79gNhP0fV2mI+Of9FFl36L9be+S7u5vAJb979UxlP3bibd58pZfvyBrye8ApcTfWPzqhR8gX73Tz58zoO7HGxc0vo+er0OibcO4ktz26KOKYQgoT5F9D4zpIezfdY6aV8whoBTgslLIwGEr87G1O/NNJ/832kK7RDvdALxn5/HHED4vC2h3e837TGwQ+uOkxpoQdne+Qf4P6DbsrK1W0+fbbYyXU3NfC/98Jv2v3z/oO8+XgxsclGJl2SHFKuZule3PWtlL+ziepFuxj1+BysGd0346TPR80LC1Gcbpo+WkPVU69jzE4l4ze3YsntGijQumoT9X9/A3d5Ffbl66n7+3+peWoBLR8vQ7H7b2DehmYa3viQww88SeuqjTh27KN9807at+/FsSsf574C3OV+dypdlBnHrkJaFq3HVVCOq6gCZ0E5UgmuLLMuyCV1cn88dhemWEtEJXjO/DQObG7hs39U0FzrxmAMf/kvX+ni6mvr+M+bbTSHqQwNUFzm4ZGnIz8pjBhrRqcX3Dm/kv27wt9kk/KSiM6wUbaqlOqvwrucWXJzkFLiKvBnaAx1zr4pUvZeAh8NP6fNxpxjdyGWkYOwDg9fFdlkM9FS1sKYW8eRfmboSsuKImlp9hGfqMPpVHBESByjKJKX/mvnhnk2ciKcdq9XIiU8/kgc11wVehPR61Y4uLWFfeubufyubFwOH2Zr980ZqUjK3txAyStrSbtoFMMevDzoChig8b0VtK3fhbemgdhZU8h46LZuNc2kotD0v8+wf7EWAPvStVhG5BJ/7WUYEroGS+iirRgS48FoQOj1SK8PxekCrw/p9SG9XvTxsZiy0xEGAyl3XoM+3oanugHz4Gza1u+i4Y1F6ONtWMcMIXr8MPRx/py/QghG33cuu55ZxaBrx7Hl15+Ted4Q+l85Cp2hu4JNzbEwflYiINj0WT1jZiSSkBbazXDaVDPfv6OR/flehg01MnFCaNnUZD1jVdTZ2/Klkz1fOXG0S0oOhr/JA4y5dSyLfvApbVVtzPv8OoxRoYNBEq+9kNp/vIclrz/RU8ZgyvpmqV+DI/Bp3hG9ymmjhNs27yXuYnUuW4dWlzHz2QuP5DMIhk4nGD/ZSmZOK7/9ayqWCM7/Op3gqYeTVD2yKgqsW54aMRqubF8bPo/kjAsSGTk1HpMluHzj5iIcZf78JO5au385E+SR0bG3iKb3V/nn4HATNT4vaFFJ6fVhGT4EYTDgKijFPLAf0ZOChyLrzCZiLz4X2zln0rLkS6LPOgOhD72LL3Q6km64GFdpFeb+6USN9fvGehtacOw8iKeu6YgSBohKi2H8ry/EGGMm8bmrKPlgF+t/8gEj7jybhBHdEyVdfmc/UnMs1JQ5+fu9+dzwyCD6hUhkZLUK5s6xcvMN0YwZFT4SLjpKx5xLIyeEnzTdylvL+/Hhf1vYsTm8+UTxKmz582aaS/y2Xke9I6QSllLSvuMgnso6nLsLiRob2S/+WNFsvr3LaaGEpc+H53AtxqzUiLJNRU3YMmxhFXAHLpfC9/8vgbxR6isnqIksM5kEJpMKOYuOxz4/g/SB4V3uHBVNDPzhDGJHZGIbkorQB1fWpuw0cv76M9DpEHodwhT8B68zGbGOGYZ1jD8MWc2NRRcdRfxVF0aU68Dcv2v9PkNiLDEzJgSVNQYSBukMOgbNHUvWzFzcLcEf9TsUbr9h0dz9wjBEhEXd7x+NU/Vd9ASTWTDvljiuviF8iLXOoOPs30wjZ0YOm/60EWeDg9h+wfsIIbAOH0jr6q/w1TejOCLvJxwLWu6I3ue0UMLO/aVY8gaoUoD1++sYfOkQVeNmZBvJyI4sd7zIzgu+gjuarDnBldfR6GPVjXc0fR2yfDTmhCjMCZGDKWISw69ugV5XwJ0xRMiQ10G/6TmkT8yIuEdhzEgm46Hv07Jo/XGzCSMDD1IavcZpoYT1cdHEnKdOEQ2+RJ0C1tA4kRitRowhstR1Ruh0xF1ytha2fApxSinh3ZXV5D36rCrZ5Emd3NCOrIqCu6YNsKrPODXIqK7ulx91kXnrXImqR/yg+gzVsqXF6jdmTDXqL4Xo1uPzI/TYIiuZDnb5Mo/LHFKy1BUbnW1VH2rek2umJ9fivgT1RUHV/m7MmdlhVytS25jrdU75s6m4nDjKI5fMAb+XgNfuOM4z0tA48Xia1d0UfE4nrQf2fqP3kjLyoaGeU1oJSymp/ugdmrduiCwMVPxnDfUr1V2AtUV2nPbILkQnC9KnsPvPq1U/hipt7TR/vqJn73EK/7qkT8Hn7t2AmuNN0YZaPI7IfuVSSgp+9x5KGP/3DnQmEw2rlyK96pMldX8/LWKuM4GadxHbQtGXJe/7CSFWCCH2CSH2CCHu7ekYTZvWYt+9nfaC/REVRMPa/VS+uQ77jsgZrdrqXbx510YqdvdtmO5/n6um9nDo7G+dKftsH5YUm6pNMsXlpm7BG1hy1V0nvrZWqt75D86yElXy3xTp8+G1t+BtCR+G2/z5l1Q9+RKNC5fSvj0fxR1GCekEa3/0P3b/ZQ0thZEf+Z3tCuWFx8fDAODQIW/Ea7a50sHWhZGf8oQQJJ03krpluyPL6nTYho2idf8u1XPtjH+lqynho3g3SNtCtZ37ciXsBe6TUg4HpgB3CSFGqO2seDwoTifGhER0ZgvumtARRZ7GNmo+2YYw6LHvKgubL8Hj9PHWvZtoqminYmdkJex2SxZ/0RM7cWRK8p3Ym7zs2dxOckZkO6nb7uTQonwGzQtdNqgD6fVR/683iZk5DfOQAcFlOimH1r27qHzjZeImTcXav7vSdlQd6jqXxjoatq6hbt3STuMptBbt59C7L+FtD50Lwdtqp/TZ31P48AOUPP07PE3hz79t6lhc+aU0f7AC18GysFnEhBDE56VSvHAn6+59n9qth0LKAhjNgvuuLuTPD5RTdUjdjVANUkqeec7OVXPqCRPBDcCYy7LZ+8VhPM7IK/ikmaOoX7ZHVS6QuPGTad4WORw6FFrEnB8hxDAhxDVAnBBiTqfje4BF7Th9tjEXKFVdGfi3XQixD8jCX001IjqjkcRzLqC96ADZN9+B9IT+oRgTosl96BoKf/8h6XMn42tzYYgJfo6q85tJz4ulpcpBxa6msHPweCQ/vKORdofkolmRz/lr79hJSdJz8czw7lOL/tvAttWtTL80jvZWheiY4MqlvbIFvdnAgde2MPSmCWFLMrnLKzFmplH/2kKiJozGOiZ4lV+pKDSuXELclOnUffoBOquFzO/djs7U3Re6Yesamr5aT+rMK2kr3IejqhxTfCK2wcOJHjEeAFdDDeULX8LdUIPObKVhyxr0lij0Fit6axR6SxSGmDhM8UkYbDGkXvMdDr/0IjprFE1rV6JMmExUbvCgEX2cjejpZ+CtbcSZX4K3rgljauhNzpTJ/andWk5Uegzxw8Jvaun1gowBJpa920Txfie/ejGH1KzwEXHvftLK1ZdEowsRjSil5Ok/tvLsn/03ola7QlSQCMcjczDqGHtlPza/VYzH6ePcH+WFlrUYiR3Xn6ZNBcRNHITQ6UJGReqjojHExuGqqsCcnhX2MwX/HD3u8m0lD7gMfxbyyzu124EfqB3kpPCOEEIMAM4ANgZ57XbgdgBDXNcacV57M4bYOP8FZw6vBNsOVhGdl0Hs2PAl0bPHJlJ9oIWc8Un0Gxf6B+3xSO64q4lFi11kZ6vL43rWRAsD+kU+5SazoKrMzYr3G5kyK5bcMcG9LOwlDez+yxqsqTGMund62DHrFryBMSMVc+5AoqeMDynXsnUTDauW0V5wgMQLLiZqUHeXPSkldWsXU/flFwC0FecTO3ICqTOvQBwV/WBOTCXz8u9SveQ9fC4HtsHD8TnaUZzteJoacDrL0UdFkzjBP39rzgDS5t+At7mJ6OGjaNm6kcZVS4nKHUbshEkYYrsmMo+7ZBrCaES63NT9fSHxcy/AOiJ4YvSUidmc8esLkB6FrY8s5szHLkZvDv195OSascXqGT0lOqICBqis8tFiV4iPC349CCF44P4YJk40cv8DzbTYJalh4ofsNU7qS1rZ8FoRKYNjwiphgNTLx1P4+AdULdxI3pPfQehCX5fxk6bRuHEtpsRkEqbOCBvF2BmJQOkl7wghxEv4lViNlHJUoC0ReBsYAJQA86WUjYHXfgncBviAH0spFwfaJ/B1yfvPgHullFIIYQZeAyYA9cC1UsqSQJ+bgV8HpvKYlPLVns5fSvkh8KEQ4iwp5fqe9u+gz5WwEMKG36byEyllN/8gKeUCYAGAJatfl3uwq7ICc7q6aInW/YexDVN31y/ZXMeF940kNi20i5leD396Oo4J442s3+DG4ZBYreEfw3IHqXPBMll0jJgYxc//lkNCcuivyGN30V7RQnulneJ3dzJobnBzhKemDm9VLd6aekz9MpE+X9AfneJ00rD0c/D58LW1YgxRGFV6PZhTMkiaeiGumsMYY+KxZoSuAmzN6Ef/G+/Bnr+LqKwB4T88YBsxGun1IgwGkmbORs64kLYD+6j5aCHxk6cRlfu1MjKmf520KO1nN1H3j4V4yquJuXBKN/u40WYmaYzftc1td7L9iWWMf+jCkBGEc3+YQr9cM7+/8xB7t7QxYmL4YJa7vx++0kUH559nYcUyE5HiKWwpZpL629AbdRGrdPscbor++An2PYcQeh26MKYZn9NBy47N2HduBZ2OxOlBK8yHpBcXwq8Az+NXlB38AlgmpXxSCPGLwN8/D5gqrwNGApnAUiHEUCmlD3gR/0JtA34lPBv4HL/CbpRSDhFCXAf8Abg2oOgfBiYGPs5WIcRHHcr+GCgQQvwK/43jyA9WSnmrms59qoSFEEb8CvgNKeV7Pe3vqizH2l9dOZi2/MOkXhLZx1ZKib3GGVYBgz8XRFyc4I4f2fjRD2WvPqKdfXEs196dgtEUfsXhsbuIHZzE2J+fT/yw0Esq5+589AlxRE+dSPTk0LkbPI31JF14CYaERIwJiRjigpc80hlNxA4bS+ywyDboDoTQ9Uze8PWlKfR6bMNHYRs+KmwfXZSFlHuvp2nhUlpXbiHmvDNDymbOGIK72Un+S5sY9oPgRWBzhvqfru5+PJPG2mP3JghGbGzk1aQQggnzBpA5Mp7VC8Kn9dRbTQz62eUUPvE+7UU14WUtVqIG59G8bRN6Sw+rzMjeyx0hpVwdeAruzJXAjMC/XwVWAj8PtL8lpXQBxUKIAmCSEKIEiO1YiQohXgOuwq+ErwQeCYy1EHhe+O/MFwFLpJQNgT5L8CtudRUfuvMhsAZYin+V3iP6TAkHTsa/gX1SymeOZQxnZQXxk8M/hoNfsfpanSHtwJ3xeRSm3tKzqDkhRMSVSk8YOFzdDyNlUg79rxwZdtUDYB07AtuMs4LaVTtjzsjCnNFzG+HJhNDpSJg/S1XY7oArR+Ftj7zpFptoIDax79YrGSPimfv0xIhyxvgohj5xHVXvRHbZtA0dQc5td1O79NOeT0jdgiNZCLGl098LAk+1kUgL7BchpawUQnSsLrLwr3Q7KA+0eQL/Prq9o8+hwFheIUQzkNS5PUifYyFKSvnzY+3clyvhs4EbgV1CiO2Btl9JKT9TO4Bt2Cj0VnUFFwf+9FJVcgaTnqHnpkcWPAmw9VNXnNOQFNys8G0m0g2nA0PUqVExWx8h93EHOoOezOvPViVrTs8i89rv9XguKlfCdVLKyHcO9QR70+DpAL++TRxLn2PhEyHEJT3RXZ3pS++ItQQ/GaH7GCTO1K8fC80XjcdJ8MfE4bajfExjBBDc73SgOfzjW2eSdOof3ypUVlFe0jxJ9Zh7KkLnOD6a6GL1YcBxheqfomyl6kN2e0Jrf/UVjOvUewCxR6/+nC2xhTd5dDDatFL1mFl69Z+rJ9dipk394q06pNeIDjr9hqQhvC6SgKIcVxe0aiFERmAVnAF0nJByoPPGQzZwONCeHaS9c59yIYQBiAMaAu0zjuqz8hvM+V7gV0IIN/6y7gKQUsrwafICnNIRcwD21etVR3K57cfP+f54oPSgflrzFxvwtaoLyVa8Hpr3qi8DfzIjfepvHkq785SO+guHu8WJs17dzbF13WbcZeWRBYMhASkiH8fOR8DNgX/fjN/e2tF+nRDCHIhGywU2BUwXdiHElICJ86aj+nSMNRdYLv0XwGJglhAiQQiRAMwKtB0TUsoYKaVOSmmRUsYG/lalgOEUV8Lu8koa3/oAV0FJRFlPq4t1//cxilfdj7appvcc9I8Fxavw8T2rVcu3rduFLlrd6rB51xZ8DvWr2aqDX+K016mWP5HUfrSQ5o3rVCnjts17qf3bQpR2dcE1+Z+VfMPZfTN8Xknh9tD1EDvTUtRA0cKdqmT1sTYce8Nv9IWjt3JHCCHeBNYDeUKIciHEbcCTwIVCiIPAhYG/kVLuAd7BH0ewCLgr4BkBcAfwL6AAKMS/KQf+PaekwCbeT/F7WhDYkPsdsDlwPNqxSXcsCD83CCF+E/i7nxBC9ePtKauEpZQ0LvwYpMS+Ym1E+fyXt9CcX0vVl5HDQA/lt/P8j4/9Ig2G0yFpbVWoq1N3prx48QAAIABJREFUE2gsaSEuJ0aVrKeqHkNaoqqQZakoNO/eQvyY0J4DnWmq3E9LXTFmm/pMb4oS/jOGW4067LXsWf4CpTs+oaF8Fx5n+GrDwmSm9uN3OfS3Z2gvKgg/Mb2O1i93UP7Lv+EsCL8SlFKy5KGNrH56m6onkp5Wx1aDTg9vP1WmavWeOCqNxj3VEeUAzEMG4TpYFFkwFFLFoWYYKb8jpcyQUhqllNlSyn9LKeullDOllLmB/zd0kn9cSjlYSpknpfy8U/sWKeWowGt3B1a7SCmdUsp5UsohUspJUsqiTn1eCrQPkVK+fOwnA4AXgLOA6wN/twJ/U9v5lFXCvoZGLEMGYkhNRme14GsNXRm5pbiBko/8gXjF74ePr1cUyasPF1H4VStl+yNXW1bLK6+0Mf+aBu65s5nXX428Cq3Z20DaCHUbau07C4gao86jw35gF7ZBw9AZI29IOey1VOxfweCJ87oFYXTg8TqobcwHoLm1gl0FCyksX9ZFxu1pp7p+D/tLPmXDrhdxukNHIlpjUtDpDVTmr6Ji33IUJbxrmDEhEfR6jMkpWLJC+yqD39UNvd5fBy+CYvO0e5GKZMebB/j8gS/xecLfWL5c61b1vR4Z3xNZUwkhyBkeRenedjyu8DcCnUGPKd6Koy7yNauzmEGR4XNthJ6VljuiO5OllHcBToCAv7HqHd9TVgkbkhKJu+xC9AnxJN04D70ttCO9NSWamW98h6yZ/8/eeYdJVZ1//HPu9NneK8sWYOmCdAOCYkHFSixJrMQYYzTFJD+TaHo0McYY00w0GkuMPVhiQY2KCCK9d5YFtvfd2enl/P6YWbLAzL1ncVdE9vs893lg9j1nzszc+973vud9v99hjLp+KpFQ4hP6gxeaaT7gRzPB0uebDdfx0RofS1cY52LPOtvOtq0h1q4NMG164g2zSChC294umra1kztaLfr0btqNY5y+E5YyEn16WLuMjJP1tfZa9q0j6HdTtepZKqZcjskSX74pIsNs2vUc++o/YO32x6lrWkN50WyGl5x1qF0kQHXdUmoaV+IPdFLbtIbm9h0EgvEdRkHlbKyONDSzFU9nve5arXkFFH/lZiJ+HyGXPhewOSuN4l/dBIClMLEyNYDfFSC7Mp3synTO+uUMTDot4QC1tWF+fEcXf31AP3IHWLfJz1duNT63utqCFFY4eObuffzjDuPINXdaCU0f7SeosPdhrRhKoKra0C4u+ikS/gwhKIQwEfvkQogcQHlD55h3zH0cyFBIqd3SkmzD2+zGmu4gc6x++dnMBTkkZ5hpqfEzarpxbt3VHcGRQGCzN8rLzYwcZebSyxyMqEzshDWzxuvf+wBXvQd3i5fpXxtHZnn8TizfrgME61uIeHyG0kQty95GaBr23CJMDn3b+l1LqV7/EuWTL8Wuk4bYvf9t2rr2ADBp1EIyUuO3hNtt6UwevZCte1/GbLKSnT6cDtcB6prXYTE7GF1+4SH2aXkjKJ9yKSnZZVStehZPRz2FI0+Lm25xVkSFQHPOX0Dzyy9QeO0NCcvT7CNKovOf9zk6X11G5mVnJPxs9jQblz56Jmv+sZUDKxspn61fiVBbE42UH/m7h/IyM2fNS5yfnzjOxs9uM37K6WoJsuj+Gro7Qpx9nX6Fh6fBhQxH2PPsBva/tp1Zf75Y195eORzv+k2EWtpInjnNcC0HIUEObHXE8Yg/AIuAXCHEnUQ3Ae/QH/I/HLeRMEDE548+Wikg6PJjTTW21TRBZ0uQtFxLQhXe3jhjtpPPTVPbELvjxylcu9C4XGnItHyC3hBJ2Y6EDhjAlJ5M8wMv4N91gMbfP6W7ORXxe2le8hrde7fTvXdHYrtwEE9HHSG/m/qd7xMKxH/EDkeCpCTlM7LsfIaXnE0gpP8YbDJZGVuxgCF500hPGUpp4UxOGnHFEQ4YYoxn+ZWYzFaGTf8SSMnuj/5FOJR4s9SanUPSyNF0LF+iuw4A5+RR+HbsI9yVeM0WhxmzzcTYBcPY/IJBrhlIShLc/qMU/vSXdF0H3IOhxcblg8UjnHznkVE4UkwUVuiXRlpSbFS/vJXufR048/T3EgI1dbQ/+xKudz7As1ZtM+9QCIXjxIGU8kng/4BfESUlu0hK+Zzq+OM7Evb7EYpOONDlw6LghAG620MUlPexnVMBn5up9v5DpuXRuKWVmbdO0LUzZ6ejJTswpSWTff2F+lLyJjMIjYwJM0gqTSyH7m6vJSW7jILK2aTnVybc7DNpFgqy1duQIepck53qkjw9Y4pGz6W9bitdzVVkFIxMaJs2fSb1T/ydpBGjseYmfh8hBOnnz6Lj5ffJuvIc3fdPynFgT7HSVtWpe0O88SZjufujQemYJL7z95FYbPrxkiXJyox7zmPp1xeROixL19ZaXEjSjMl0PPcy1qH6efS4OPHSDSrYBXQR86lCiBIppTF5Oce5E4541SPhSDCCPVOtaP78rxUd03rSosm55IzMMMxDCiFwThpJ5ufnYkrW/2yW1AxKvngjSSX6ueOkzCGMnvPVPq95oJFRaEw1LTSNnPMX0L1lg64TBnCcNBzX++uQwRDCon8ZTLtxLCabGsvYQKBiglqVjC3DwSm/O59Ap3EJXurpMwm3tWMtHXTCHxdCiFuIEgI1EuWOEES/pfEq449rJ2xKScYxcZySbdFpFX2a+1jKuFudFqxOtW63nOsv0iUz70H6xBlKn0nToT88HmDJzCJj1umGdkII8r5xudKcaUPUnOCnAc78FJz5autNv+S8vssc9TRrDKI3vglUSinVVVp74fhywgKw/O82bMpOxpSdTLxbs92kfnKlmtSVMUwJSrXioSOi9vU2+JSbawh5Dp/TjPTLuA42pfPw7yVxCNOnVuSVRyeNY4Rk1G6oAJ3l6o7RfcR3lhiqv4XqbwtQYlY/Z/pyLvblHO993UC0DloIgbBZOOS8UPCvn9Gmw4+DAyTiRFDAcb0xF+504XpXjUs5Eorg7+pfGaKBROOqGoJuta691oeeJtyp1lnVtO5dPI1KqSoikZBhne6nAV3bNxD2qbVse1ZvItxlXEYG0Tb346nNuWFVrZJdxOen9cF/Hf0bRYTxcWKhCnhPCPEDIcStPYfq4OPaCbve/ZDORYsJdxtHcTVL9rL5oTVK8wb8Ebzdx1aZd//i3QS71ZywDIUN85o9CHS1YrKpbTq2dOyipnGVkm1/o6FlI4GgWnTeuWUNNS88TERH4qoH7o/W0/LnJ5BB45tL1Uvb2P38FqU1DBS2re7G71UrOd322Dqlm4ZmtxF2HX0jkpDGxwmG/cBbRBs0UnodSjhunbAMBul+bwURj5fOV942tN/59Gb2vLiNrmp93TiAJYvaefHv6mxWqnjhX93s3X00XUr6kKFQVOpDASFPN2an2vnR2X2AtBTjjRuX7MAvfYRl/0XNLR27WLXlQbo9xq24/sZaPAeqqH3pCaROy7SUEv+uavy799H62AuGDqtpVS0b/vAhzev1G0YAXF0RNq/vf76R1e90sX+nWpRvz3bia1WzFZrWJ/Kjg1Bp1DjBnLCU8mdSyp8BvwPu7fV/JRy3TjhwoJ6UM2diKSnCkpetu8HQsqmRtm3NCJPGhr/oq8xGIpKXH2nilYebaWvsP4f54jNuViz18/pLHj54V+1CUUYorLQ5BxAO+tASdMAdDpe7nhSnMbdyKw2sZQm70M8Vd8pW9smddMgWwlLfAYQjQbz+dtZsewyXO7GSdtjnxeRMxpqVS9aMuUSCiX+zUFMr1qFFWIrySD5lEtKf2GmG/SGaNzQgTBpbHlpt+FTy0Qc+vndTK50d6sx3Khgy3M7+nT662oxvcGmlGXTuVVPoMWdnEGo5GjUfBQa1E2zjTggxVgixDtgMbBFCrBFCjFEdf9w6YVt5CannnoaW5CDl9FMOkcM5HI5sJ2c/fglDz6xg2h2zdWXB17zTRUO1n0hY8sz9xhHQ5u1+Nm0zbhMN+CVvv+bl4T+5GFLav/uhMiKVhRqR8TfxeqPLXY/LHf3smma81g5aceOiiRq6dGS6kkhlL9tYzXus4E28MvEjsSY0stMrGVk2n5SkxDcCYbZQes03SRo6As1swaQj+GrOziD32wsx52ZhKSnULW/0d/o49b5zyBqby+w/zseSrE8F8MG7Phpqw/z41jYlMp+nFhnn8Ncu6WLl2508c38DD/7EmHoytSyDrr3t+DuM9z7M+bkE64/yaW8wEj4cDwK3SimHSimHAt8BHlIdfNw6YVAvI0sqSMGe5STkDWJNtSWUAodo5PGzJ4dx3rU5fPE7hYZzjx1pY9wo48jy4iuSKCw2ceZ8B0PLEpefyYjkwx+9TfP6elbduYT6DxNvokW8Pvy790EkTKi5lXBHYu4EX1sjnVWbiIRDeFtqdfOnmtD4aPNf6XLXs3n3C0iZOLqTUuKmixKGM5W5pIrE7bhmYaGIMsxYSCMLh0jckTiq7AJGl19IrUFOWjObEUIjuWIU3Xu26dr23Khsw0oN6U+ducnkTCwkuSiN7hr9jW8pJds2B8nJ0xg+0sK+KuOo9QsXG6eExkxLpn6vn9aGICfP1rdvWFnDvsW72f7kRlbepU+BGvH6MOdm4d9ZRfdytX2SQydQOE4sJEkp3+35j5TyPcC43TaG49oJ9wVmh4WQ1/jiyB9qIznNRMAfIS2r/yJWi1Vw462pLLxJ/2ISmqDwlBLcdS68Td3kT02sJi3sNtqefAn/jr00/OLPCGviaM2aksH+d57G01BN3fJXEObEN4IkRw4WsxMhBBVD5iZkUAOQSKZxBiPESdiFQks2w6hgDJUYdAOa7VgtSTjsmXS6DujaAjhLKvDsN24vBrCNKMW/s1rJNnN0Dm3b9Ml2wmF4bFEuZ57n5OwLnJQNU1c00YPNrnHr/aXYkzQmnaZfOpczsQB3gwtvs5uCGfoK5P49+2j58+O43lxKsDZxqicuBp7U/XhElRDiR0KI0thxB7BXdfAxdcJCiHlCiB1CiN0xeesBg2bRCAfUNiJS0s0UlanL56hi/iVORowyZrgbcuYwkoekMXrhpIRy7BB9Ekg9dw4AqefNQXMmXrNmsZIxfCLCZKb41AW6TxFCaGSmljN++OU4bPo6dprQMAt1p2MXToqpwCLUmP5K8mewv8FYuFKzWBEmM2GfcUWFtaSIwD61cq7M0bm0Gzhhs1lgtwu+fXsaw0f2jwPuwZDhdn78jwrSsvTnNVlMzPjZ6ZidFopmxidS6oFjbCXJp0eZ9Jwnq8k59cZgdcQRWAjkAP8mSuSTA1ynOvhYqi2biBIfn0lU82mVEOJlKeXWAXo/ssep8RZk5FqYd6U+1eHRrkEFmllj8vdnkT3eeFPMOWks3SPLST5thqFt5qhpmJ2p2NJzDG1Hls3HYu5//gzoWzdikiObylJ9foeDtmWVuPfuIHXURP33N5sQZhMRfwDNpn8zSC3LwJGj9mRpNg9MBFh5str7pwxJY8795yqtN33BOYQamrCWDbYtf1zE+IO/IYRIAyJSSrWi/RgMnbAQ4mbgydgb9SemArt72O6FEE8DFxKVL1FG+sXzlG3H3dCf4q8Di5yJxvloiPElfONaNKtxBObIKcaRpTbvQDngo4HVokaOkzZuirKDz7xmgVJFiWbWqPxS34iKjiWyxuQaGwGa1ULOzdcoq1IPIjGEEFOAR4jVBgshOoGFUkqlhLvKL5BPNEp9NpY+6K/bfRHRdr8e1MReOwRCiBuEEKuFEKsPLzCXUmIrP4o7+WcIMhQ2jOZ6IIRQr6I4DqFZrGhW401SGYlgzkz7TH8XRgi7uuEoHfBgOuIIPAzcJKUslVKWAl8HlCWTDH8FKeUdRJVNHwauBXYJIe4SQvSNEedIxHPmR/x8UsoHpZSTpZSTTSmHPma53lhCsEmNM8Nd36cnhGOKjl2tdO5R0x1seeCfRLzGJXJBj4vapS8qzSml1K2I+CRhpFfXA2/dPtrXLlOy7Xr1XYKNasKlKs09nxY0rauna5/aejteeF23miYhJINty0fCJaVc2vMfKeUHgLLDUboVxoTzGmJHCMgAnhdC/KZvaz0ENUDvMLYYqOvLBN3L19D696eQCgrKa367jJol1UrzNtUYO7WBhL/TR+0Stc1Va2kx/j3G4qUWZwrellrdjrIeNLZtprbpKEqX+hmRSJiNu55REA6N0PDWv2lf+4HhzSPc1U3X60twLTZWsg77Q7z/rVcNS9QGEvXVfjZ9qHY9d+xuxaXohIXNRsR3lOf5YJ3w4VgphPibEGKOEGK2EOIvRLkkThZCnGw02NAJCyG+IYRYA/wGWAaMk1J+DZgELPgYC18FDBdClAkhrMAVwMuqg4P1TYTqmwhUHaDz1f/q27oDNK6uZdWv3sfTZEze8sgvaln2an+nwOFHt0ajW6Ni/ozKbNq3q0VqthFl+HdVK9kmFZThrje2zUmvpL5lo1I0LKUkIP00yT7dP5U4DnbtX0xLxw5cbv25Ozeuwld/gEBbM559+mVqXa++i/QH6F62hlC7fiS458VteJvcbHt0neFaAf79VP8Jw/agoyXI1pVqhENmh4WgQhkmRPkj5FE64f5KR3yS1VEDjAnACKKcwj8FRgGnAPcCvzUarFIdkQ1cIqU8JNySUkaEEPP7utpe40OxTb/FgAl4REqpzJYSbGwh7aKzCRyoxXHS6IPUfPHQ8FENCIHZaWHns1s46etTE9r6fRE2LHOx5aNuKsY5yS9Ra/HVXWsw2i23e3uQ79/SysWXJzFtZuJyMmuKjaA7oPuZDtqWDaHr1Xd1bXqQWjaGjl3rSS7SzySZTFYy08po6dhJdnolIBPWCjdwgGq2o6GRIwt01yulpIMW9rOLIsrJJnH1R13zOmqaoo0a7a5qXQ4LS3oWGZNnYbI7iQQSOxYZiWAdNhR7YwvOSWMJt3dElZfjIOwPsfeV7ZiTLDSvr6e7ppPk4sTKGms+8nPnD9uZMNlK+fD+KVOTUmK1awT8Eq87jN2p6X6/ZoeZgEuNv0LYrB8vEv6Y+KSrowYSUsrTPs54lZzwjw93wL3+pt+iZDz3a1LKEVLKCinlnX0Z65wwmtRzZiM9PmylxbonZ1p5Jmc/dgm5Jxcw4eZpurablrtAgjPVxGuPNxtGbCptyxaL4EB1iO1bgix508dJk40duyM3ie6aLsPcsGa1gJRKrGDO3CF4mvYjpSQS1rcfkjeV/Q0r2LT7WcLh+Be2lBIX7bjpwkUHHSSO3kMyxHqWsYYlNFNHGvpK0oU5E6ksPY+yojmGlRpJQ4ehWWwkl1WSMiIxJ7HQNJKmjEdz2nGcNApbeUliW5PGWY9/nsxRuZzz3BU48/QrNB75cxeRCDzwO7U8q0rb8vLXOvj9t/fx3+dauf87+wxvcGaHhZAnqESBGo2Ej5JwqH/SEQero6SUAaCnOuq4gxAiPZYx+J0Q4g89h+r447o+RZhMSo+1qaXppJSk4Wk0flwsKLXxx7dGMWyck4V36Dt3UG9bvv6WFGacamPyDBt2u/6c2x5bR/uOFt66+nnad+qnJcIdXZjzsun492K6l3ykaxvs7sTiTGH/W/+kfWfinG84EmRH9Wt0uPbT1LYVTYsf2QkhKKWSkziFoVTSQeJNUrMwU0olFqw4SVFq1uh0HaAg+ySKco1LC8M+D5pDTb5KKhAeaWbtYHu7EAJNR2qqoS5E4RAzJWVmcvNNtDYb591V2pZnnJOOzaHhag9z3jX6td17XtzG+j+sYPuTG1n3e32Obf+uaiJuD4F9NXjWbjZcR2+opCJi6Yjsnqqm2HHDYVMpVUcdJ3gNKAU2AWt6HUo4vpQ14kBz2Im4PWhJ+hegECIaMRo84heVR9MEro7+5RPWNMEvf5/JupXG0UfpuSPY9dxmwv4weZP1z0v3qo10vxvtKMv5ln6TTmfVJjqrokxnWeM+l9DOpFkYPnQeXn8HLk+9ruSRVdjJoZAcjOuPU0hnOmfRgjExEoDX34HDZiwNDxD2ejDZVZ2wOvWnCvILzdx+Zwbf+Wor3/uJfodhX6Bpgqu/X8jjv65j7HT9SLzsvEq2P7kRf7uX4Zfqd8GFu7rpfOktALK+ckXfF6ZW/dAipdS7eypVRx0nsEsplUncD8dxHQkDWApyCTbot5X2wJmfrBQNA5x6QUa/qypkZpmYe45xE4QjJ4kZvzyDtIpMw+6nlDM+R/KcaSAEtorEj9cAOSedSv60cwGwZ+h3D9qtqUwafR3FuVMM16sKs7BgE3aKRJmhbTDkwWK2KzdfRPxeTHbFBpM+kOD3Bff+TV/l+Ggw/pQUvvW7oYbfg8lq4qSbppJ7cgEZI/TX4Th5DLYRZZjSU3FOUpeU6kE/bcx97OqoTxGeEEJ8RQhRIITI7DlUBx/3kbA5P4dgQzO2Cv1+eYChZ+krDffGGZf3/wXVF+RMKOCUX59laCeEIOMLFyAsFjSnsRPKmzQXzWLFbDdubTVpFipLz1Vab39D0ywMLzlb2V5GIghFkVIZjih3ihV+Tv/G9kmgeJgaj0nxaWWklRs/OQghyLhsPt6tu3QpYBOif2KTg9VRQC3R6qgv9svMnzwCwD3A7fzv25FAucrg494J9+VOrsdI9mlEcpGa6KQwm0i//DzleXPGzzraJX1iMGkWnHblYILCc9WUkwGyFl6qbDv88r5HiscKQghSS9XSN9bSYixDCvr+Jv3UEfdxq6M+ZbgVGCalVKsrPQzHlxOWQPB/j2UyEkHTYptihwkq+MLqH60rrM6YFpbqXUbpmlrNZr5dfU6zU11CKJCm1s4M0D1ULZ8KfVNF7gv6soZg8mGeIDmDYIIQ7fDvzOxMRspg3Ed81d9C9bcFCPeh+7Av52JfzvHe1w1EOYXDnV1Y8g/jmlBxsP2UpZNSvkZ0U+t4xxagD3Llh+K4zQnLSISWh5/UlTXqjY4dannjYw0pJa4Gtbx1+6L3CLuMf3tv3X6CruOn/fZoEexop/39d5Rs2599W7lO1ttxbDsoVREJRdjygJr6eLChCfeKo+uKFBHj4wRDGFgf65o7cUrUQs2teNduou2fxoKNvlYPy771Mp271Z4Wtiw7dg5LRiRvfH854aDxmWwdmk/HK0sN7YTJRP2rzxi2LIeDflr2rVVe6yeBcNBP/c4PqN2m71z9DfXUPPhHPFW7DOfsfONDOl5cQqDauEpj15v7+egBfe28gcYjt+9Rsgu6/Hgb1brrpM+P0JF3GkSf8CJwJ7CcoyhRO26dcKA6WmLoXr2erjff07Xt2t1CqDvAh9/5D+5afR6AgC/CfV/dwarX1YiBVOH3SV5a5OVvf3Xr3jQ0k0b5nGL2vGOsKeacWElgby2hDv3Cf3teESkjx9P8/uu6dprJgrujjqrVLxg2cxyOYMijRLbj8bXR3L6Dts4qOrtr8Afir11KSd2OJaz9z53sW/8SFnviutpgRzuNzz1JuKuTiFv/KaL7w020Ph59AvYbOOG2qk7++7OV7P9QTX1i187+U5vuQSQiaVHkMgm4fFhS1RxrxO9Hsx+lcMEgd8QhkFI+BjzF/5zvv2KvKeG4dcIyEiH94nNJnTuLtLP1uwY7d7diy3KSPiKHrir9DrSGvV7CQcnfvrub9e8a80e4uiOGkXhjQ5hvfbODb3+zk3894TEsNxp9UTlbX4pGP+FgYscmhCD9wtl0vLjEcJ3pJ00n5Oqie3firlChaQw9aT6pOWXs+OARAj4XQb8bv+fIJ4OGlk1s2/sydc3rcHtbcHubWbv9cQJBfSdotSSxc9/rrN3+GBt2PpWQn0IIQW7ZFEwxZeiUrMTVL5b0DPIWXEHSqDGYM/WrWpwnV5J5xZmkzJ1CxJNYEDMcjLDigU0Ik6CzppvOGv0Is6UlzBevaKOh3vhG1NYeZslyL8Gg/nnj7gzR3REiOUMt9xvs9GNNVXOsEa/v6CJh9WaNEwZCiDnALqJt2H8BdgohTlUdf9w64eQZk0mZOwt/tbH+WMGsMmY/tACT3UzBLP0a1drdXopGOBgxOQWLVRg62Dfe8XDX7/XTF3n5Ji66yIHFAoVFxmVUjnQbKflJLP3tWjY9p09I4xhbQbChlWBzO96tVQnthBDkn72Alg//S6C9hfZ1yxPaZg89mSHjzmXnssfYt+4lGnZ9cORnyhpDSX5UzWN//XK27f0PHa5qVm5+8KBSc29IGaGlfSebdj2LzZqKECbGD78cuy0xH8P+Ta8zZOw8ikbNxZ6ir3TSuWoFGXPOJP/yq3TtNJsV364DZF52BukXz0loZ7JonHvPTHJGZvCl58/RlcaSUvLD27poaY7w+uvGSsdJTo1nXuzGqDps11oXP71oE1Ubunn4B3t0iZ98LW4CXT6sqTal+nbp9+uqTesPVjhOLNwLnCWlnC2lPBU4G7hPdfDxVR1xGITJhGa3EXZ7MOl0zCWXRLuYAp0+IqEwmk7L6ujpqUw7N4tfX7mV0aekGUatc2c5uHCecc3t2efYefDhDN5cbHyRblm0h51v7CPkC3Pa7fotu5FAEMf4YdT96G/YKktwjE5cmqhZbWSfcgZVD/8Wa0YWGRNPSWibnFlMZvE49m/4DyaLnaLRZ2C2/C/KEkIjyZFDkiOHwpyJrN/xr2j9aUrpEdFwp+sAuw68SXpKKaPLLyIiw7R17iE9JXENbuOeDzGZrOSUTjLscoz4fQRbmrAXGRP8y1CIiMeHKdX4Nwv5w5jMGpnliW8UAKtWBvF4JCmpgsWv+7huof7cNpvgT7/ONjy3xs1KR0pJW32Q2ZfloumohB9YvJOdT6zFkmTF3+Fj9A3TEtq63luOf88+LAW5+JwO7CP6SA1+4jlZI1iklDt6/iOl3CmEuvDice2EAWwjyvHv3INzonHZVMbYfNo2NZKtIx2UlhMt6yoc7qB2l5fiEfplU5kZ6u2vs+fYmDbNuGxs9EXlhHxhlt67Dmv9l9luAAAgAElEQVSyvn24tZPupesJd3ZD2IBL1+uhfc0yZDCAv6UJGQ4hTPFPgXAogMlsI6d0Mq7WfTTvXUXBiPj1xVJKRpdfhNUS/7tyOrKZWHkVJpP1oH1R7qSE6+xqrqK9bhuVn7sGMNakc21cR/J4fV25Hvh2HcA+Qq0Bo3V3B1nDjduQp06z8teH0qnaEyYrW1Niv9NzqD0wmQUzL8mhuz3EsIn6XBMl545k+8MrCZs1hl1hIMekCTyr14MQ5N/+bcN19IbghKx+MMJqIcTDwBOx/3+JE4k7wl45nO6lK5SccN70EhqW79N1wj047Yo8+k3IqRfsDuNJhRCc9IURpBYnY0vRv6FaCrIp+vlXaXv6TYIN+puJJoeTIZddj6emmpYPFuNvacSeF5+bwmS2klcxnbyK6QC6G3VCiIQOGI7UqzNiA2vas4Jh065Q7oDr3riOgisXKtl6N+7GMU6tc7Jpaxu5o9WaH5KTNcaf1P/ZvTmX52FPMv4ebBkOCk8bRvaEAsO8cNK0SXS8+AZJk8djLTIWkz0EJ2DOVwFfIypp9A2i96n3ieaGlXDcO2FLYR7hDjXlg4zReYR9ajvYQ0erKdwOJMpmKYp9WsxkXXUuwUY1SSRncSklV3xVSWWjB1qCiLm/IYRg2HT17tVQtwv70DI0m+KGlNuHfYSaLuHws0rQLMd22ySrUD1vO/LLU3DmG7OzaTYrqWfOJvlzU49uUYNO+HCYgfullL+Dg1zJyj/ccbsx1wOhaWTfeI2SrWbWyJ362RUGteSpt/kCypHmpxnm5BSyzjhH2T574fnKfAn2NBtWZ/8QtH8SSCpMPUi/aYTUeadhSlVTsT4Cgxtzh+O/QO/HPQfwturg4yoSFmGBpTPqOKKELYnvIW0+9Ui2MaS/8dIb3dK4GqMHeSa1m+HJSdXKc67PVue/OJDflzpQdYfszT7Ki9cAgTT1/E8gN2hsFMPQbPXmG9XfQvW3BeiW6h13fTkX453jMiLjOmJLx5G/r2f3Thyl5YfclERYIV124jlZI9illAdrGKWU3UII5R784zYS7l6/lq5V+iTmPejcVEOgvf/1v44lIqHwZ+4z9QciHi+BfbWGdlJKurYeH8yJXc1+Ah61NNruP7yFt15Rcfm9/x6d7P1gJHw43L0FPYUQkwCv6uBj4oSFEPcIIbYLITYKIRYJIfrMhB3q7KT5hWdpf/dtw7rIzk01rP/Gk3j2GXfB7fygha3vNvV1Of2G9sYA698xbhLxN7nY/stXCHv1SeIDDY20PPk0kYBx5Njf/Mn9ASkjBNqa6dq+AffenYntgkG63nyfutt/Q+CAvhMOdnrY+uNF1Dy7SuH9JSv+c1TkWP2Gd/+2h9YDate0t7YDe64x+56MREscVCk9/zdwkDsiDr4FPCeEWCqEWAo8A9ysOvhYRcJvAWOllOOBncAP+jpB2BVtd3WtX4d3d+KLEyDU5cXf0MWGb/2Lzo366YSuZj9P3LKOdx+qUit676PjMuqSSskw88YjdbQ3RoU+ExXoOwrTKbp0Crvue1N3Ddb8PBxjx9D04N8JdSSOkKSU1LzwCC3L3ybsPTpCKG9rvdL30V27h5r3X6Bl0we4anYR9sd3MGG/j32P/5E9f/sVtYsew+SMn2KSUtL5+nt0vvQmEbfnSGaw3u+9u4m1X32cthVVhvnTcEjyjzuqeObuuBKLR411GwLU1YeVz53GPW7yhhmngGSsRFGYjC/rUGcH5nS1yo8j30jhOIEgpVwFjCRaJXETMEpK+enmjpBSviml7Hm+WkGUVb9PMKWlknnOfFJOmohzeKWubcgdIHVsEUO+OJ2U0foVB0FvGCnhg8f3sfYl48fVO+/uYu16Y8mifQdCfPmWFl55Q9/Bma0al/3fUP51ZzWL7q+hvSHx3FnTK0gqy6Hm6ZXRtXfGnzvppHFkXnIRzY/+E1/V3qht66FPBUIIii+5DmtGNjX//geN/32ZYFcHYZ+XttWHkgT52htpWvcubTtW4zqwA29LHUGPi7atK6h65W/4OxIz1slIGBkJ07ZtJbVLF9HwUWI+C6FpWLNy0Wx2koePTVhOJ4Qg+ZRJWIcWYcrOxJyfWI8teVguJVefgrMsG3ScsN8b5o8372Dp88242kJKDnPRf9TSQ0uW+hk3pYFv39ZBOJx4Xk9nkKA/jMks0EzGuVpvXQeOIrWHykBjA9ZcfXWVRBhsWz4SUsqglHKzlHKTlFJ9w4JPx8bcQqLhe1zEBAJvAA65c2fMPh0ZDlP34F9In3O67mNV6cKZCJPG9rtepfhSfbmeiJTM/VoFbTUeJl1krDu4vybMvAub+cWP0/jqlxNHK7nZGinJgoBBJCylxNMVYt9WN6sXtzF2ZppumVLxFVPZ8atXqX70A/xNXVT+X3wlDGthAblfWUjLP5/CP7wC14cfUfT97yJ6aa0JTSN11ARSRp6Ep3oX9W88hwyH8Ozfgz23EGdJtLPK7EjGnlVAyOPC21xL0OMi5OnCXb+XoLuTHc/8lqFnXUVaWVTrLBz0031gJ517NxNwtZGUX0bKkErCAR9l5y7EZD1yAzHQ1kz968+SMWkmziFl2PMS36dlOEzbE/8m48qLEWYLpuTEm7IyIml6eyvjf3u5bk7date49ufl/HbhNqQEd2eY5PTEl8vfHnVx20/bmH+2E4vFoBNurIWCfBPf/WYKJh3numNpM+/9fS82p4mPnj3A1EsTC89272nCe6CNpHJ9QdCem0mgsQFr/lGQusMJF+kONAbMCQsh3gbiVYLfLqV8KWZzOxACnkw0j5TyQeBBAHvxkEN+fmEyYS8rx1u1G+ewEQnXYs2IXpTWTCfu6haSShPzEEy/fAgms8ajN62ls8FHmkGFQWaGxrdvSeG6q/SrMRwOjd//KgufT/8MFkLgSDaRlGam+YCfNp1IGCDU7ceamcSBJ1dgz9ffWTclOcn+0uXU/uq3RLq7ca9dT/KUIzvXhBAklY3AUVzK3n/8DiIRahY9Rtl1t2JJTcdsTyK1ZOQR4/a89ABp5ePJHDUVR3b0icPTXEP9h/8hZUgleZPOwJYedRKuAztIyi9DsxzZEdi1dR3t65ZTcO7lWDOykTKCEIlvsl1vvIdjwmishcaNBy1Ld5I+sQRLqgNLamI5KCEE+7a6mXx2JudcX2jYAfeVq5MZUmTC1R0x7KKcMN7CC09lUVykf/lVTM3kmds2oZkEZ39rhO4aGt/YRMPrm3AOzcKcZCN37ujEtk89QaitFWE2409Lx9YXZ3wCphsGGgPmhKWUZ+j9XQhxDTAfmCs/xo5QyuSptL+1WNcJ96Bg/gTqX1nPsFsSL81kjl7sp3yphOX/2s85t+rP+9Pb0wwl7HtDxbZiQgo/em4syxY1Ewro73KYnVZSxxTRtbUO17Z6Au3ugzedePBX78cxqhJ/9T46311C0uSTE17cIXc3uXPOQ5jM0fZmHYUIKSVl512PZj60rtaZU0zFBTceYZ8yJH4KqfHtF4mEQgy5/IaDc+k5YH/VfgLVNWTfdHVCm4NrDEeoe3EtY355iaEtwNIXmvnCD4ZicxiX72ma4Nwz1aqSsjJNZGUaz5maayenLIlplw+hYqp+DXjG1HLqXlyH0ATZpyZOzwkhMKek4t60gbDHQ8qkvgm5Ck7MdIMehBD/Be6NKYX0vPaglPIGlfHHJB0hhJgH3AbMllIetSwIgDU7h7DXQ9jtxpRkoEw8qoDqh98n7A1gcuhzMgw/JYuuJuP6zr444L5A0wSzFiTeYOqBMGlkzxpB9qwRdG2pJewNgs5+i3PsaJxjo1FS2O2GSCSh/Ls1PRNruloDiBACYf74jQ0Zk2ZizdBnTOuBDIXoeO5Vsr92pZIqc/OSHWROK8ecpFbjO29hQZ861gYCF94xioppxr9B2vhirNnJjLz9fDSLvoN3jh5D54pl5F1xpbpCdS8MOuEjUAbcJoSYIqX8Wew1featXjhWOeE/EW3reyt28ayQUh4ZLikibcZMgm2thk5YCEHFN87Q3ZDpbTv5YuOc8KcJqWP6tl6j7+tYQNUBAwizmeybrsaUovY5MqdXKHeUAYakOZ8Ehk1XU/022SyM/90VhikpAEdpOdkXXIK9xFihPC4GnfDh6ADmAn8QQrwCXNmXwcfECUsp1bXnFZA0KnH+6wjboeoX+SA+/VB1wBBN3XyW4ShQq4wQJhNp02Yc/RsNOuHDIWLVXjcJIa4FPkD3efRQfBqqI5QxNj+P1bfdqmRb/tRdyvNuTVUjygHY5tSvSe6NKTa1qOv8pP3Kc0ZKEpOxH45HScwXfDhqc9X7ZdyegTlt+qIkfVKRsT5cDy7KW6dsq/pbmFFvCd8WUK8E3dqtfi7WNMe/zgP7G7CWHLpJWfV9tetG/OA7+vWtn1AJmhDiUuCnwChgqpRyda+//QD4MlGBzW9IKRfHXp8EPEqUu+E14JtSSimEsAGPA5OAVuByKWV1bMw1wB2xqX/ZI0skhCgDngYygbXAVVLKRLvkf+35h5TyUSHEJqKsako4btuWVSGlpP35/yqrMge6jWt+BzGITxJSSjY+sl7JNtjYSscr7w/wghSOj4/NwCVEaSEPQggxGrgCGAPMA/4SYy0DeIBoOevw2DEv9vqXgfbYE/h9wN2xuTKBnwDTgKnAT4QQPXe2u4H7pJTDgfbYHHEhpfzbYf9fI6VU41blBHDCQgi63lhO7e1/wb/XmFNg8Vdfo2rxnmPewqvy/t5uYyrKSCCE1JHF+SwhHAjTvOoA1S9uNrSVUlK3+2PtCX8shEKSnVvUiH2aNzbh71ILDtwrt5I0dczHWZohPom2ZSnltt5qFb1wIfC0lNIvpdwL7AamCiEKgFQp5YexaqvHgYt6jekR3nwemCuim1FnA29JKduklO1EO3nnxf52esyW2Nieufodn3knDCAcNoIHGul46X3CXcZdTR/8+H3eumUx3fX64o6vveDiqYc68fv6t1ne65Xcfa+LQCCx8wwGIvzxa9vYsizaity0P75sUteWOjZ+9xlal+8+6NgjoSNbZmUkgnv1tiPEL8Nd7oM8A0bwrN1C2GX8/YZa2mn+yz/pWrwUf9UBZCj+zURKSdNfX6D6+l+y97qf0/iHZ+LenKSU7Hx0FYvn/50V33mZYHdi5xYMRPjg30385IIN/PefaikNvd/haLB1vZ/33nCzcqkaH0TV63son5dYtqo3vBt34hg//OMszxCKHXPZQojVvQ6lci0FFAG9uQdqYq8Vxf59+OuHjInlbjuBLJ25soCOXl29vefqdxxXOeGjhW1oAdqYCpwnjzTUFrNnOTDXuSg9o4ykPH3bjCwTd363hacf7uS6b6RzwRUpurI1W3cGKC0243QmvvcFApLv39HJk894mD7VypxT4+ceLVaNWx4YySM/2E3VBhfLFzXz8/9MwGI7dO70iSUkVeRQ+/xqahetYchlU0EIvHXtFF7wP0kgGQoTbGil67+rIBTGPqoUx/hhhFq76F62gdybL0WzRkvQgo0tBPfXgdmEMJsRZhOYzXg3bKP14WdJnXcqKWfOjCskGWrvxL9nP4E9+/Gu2YwpI5Wcb1yLteTIXGiky42wWIh4A5jSk8m+7vy4pWhCCApOG8aeZ9cjTIIh845sJOnBhy8189w9+/B0hpj3Zf38a3NLmF/8qovZs2wsuMi4BvgX97bz1WtSyc3WLxH7+bebcHdLbv15Fm5XhKSU+OdDj7hoR1UHmZXGVRKh1k60JCeabQA3INXTDS1SSt0yLZWGrnjDEqwq0etHM0Zvrn7HCeGEc75xBYQjNNz9KM6JlQhL4o89bP5wpn1vBit+vZxh5w9HxP09oigbFnVKoaBk/GS7oW7Y6nV+3nnfy83XJy4jcrsl48ZamLzLwmuLfQmdMIAj2czVP6vgJxesp7M5yIqXm5l16ZF8AJZUB6ULZxFod1Pz7Cqa39lG0OUjdUwRyRXRWmTNaiF9/kzS588kEgji216N+8PNuFdtIdTcQcNdj5L33SsxJTsgHCHs9kAojAyFkaEQMhQm1NCM9PnpXroKc142SVNPItTehW/zDvw79xJqbsOUkYZteCn20cMI1jaSfcs1mDMOZf0Kd3vpfPUDfDv3k37hqQhNkDRtLKaU+I6wY0czm+9/n5l/WUD1os3YsxPfPEdNT6OwwkFHU4AKnRK0vdUhPv/FVvbtD3PZArUmjNxsExlpxg+XNrvGgeoAb77UzbRTE9fpbvrHBly1LvJONu4E9G2vxr+vnqSp6pVCR41+ckdGDV0JUAP0VmYoBupirxfHeb33mBohhBlIA9pir885bMx7QAuQLoQwx6Lh3nP1O04IJ9wTwaXMnkTnGx+Sfn58wUqAsrOij31FM4rYuWgHIz8/KqFtbqGZS69LJSvHxMr3vZSP0I9AvrggGbNZ31FnZGhcf10S11+XRFu7cRpg35Zuxs/JYM96F28+VsfnFiRW5bVmJJE2rpjaf6+BiGT7nf9h4p+vPKJxRbNacI4fjn1kKZ71O7BVFGEZkkdgXz2OMeVYCnOxFB7ZSNIeDJE8ZzrOKeOj0TEQbu8ATSPtgrmYsjMPRrK+HXlYS4sPidoi/gCdry7Du2k3aefNJOOyMxBCYB82BM0Z/2bUsraGnY+uYsovz8GW6WTMLTMTflc+d5iHv7+b6+4aRigQIbck8Q2urNTMPx7M5Ne/7aIgX43w/qvXGFNIAjiTBdfeks6Xv5Wue+O2pdnY+MgGhCZIK02jfF5iVeS2J18nUNtEypzJWIcWYi3S55A4WnwKOuZeBv4lhPgdUEh0A26llDIshHAJIaYDHwFXA3/sNeYa4EPg88A7saqJxcBdvTbjzgJ+EPvbuzHbp2NjE0XmHxsnhBPuQfLsk2m48xFSTp2IKU2fGnDUFWN46+Y3KJkzFGd2/EhI0wTf/FEmUsLWDcabLEYO+HBkZhhHVWNnZTB2VvQc8nSFiISl7oWdNqGE6c/dFN2si0hd2kMhBMV333LQoRoh49IjZYZs5SXYyo9UN7ZXxs9xWgqySb9o9iGETIkccMe2RnY/tY4pd52LJTma+tDMiT/PurfbmH9jEfllal1i48daeOyhvklGqeB7d2Yb3rABkvKTESbBrF/MpnRuma6tuSAb/54aIh4flgK1Bo+jhfgENnqFEBcTdaI5wKtCiPVSyrOllFuEEM8CW4nyznxdStmzqfA1/lei9nrsAHgYeEIIsZtoBHwFgJSyTQjxC6CHWPrnUsoeocbbgKeFEL8E1sXmGBCcUE5YaBrpl5xO+/P/JfvLF+raamaNSbdMoWt/V0InDLF2XQFjJ/ZFSmhg4Ew1/jn70rCgl7YZCGg2K8kzjFWze5A6PIcpvzwHk01tnTMu7Ht0aMSIdjRQccAAKUNSOe2euRR/zlgX0VKQTfLMCWTfcHHfidr7gk+IwEdKuQhYlOBvdwJ3xnl9NTA2zus+4NIEcz0CPBLn9SqiZWsDjhPKCQOxx2m1rrnsMQPzSDeI/oFm1kAn8j3ekVGRQUaFWuNV8swJmLPSBtYBxzDIHdG/OOGcMHDERtAgBnG8w5JzlCoZR4NBJ9yv+Mw6YVGrnh7YlaUe8a5PPTK/mQg5pni15keiwqKuXnxhH5SZtRL1+uW1WaXKtg2+gbmJ5du7lG3PTDNuyOjBKbY2Y6MYMkxqlRB7gvo15L2x3qev/NIbuzrin4syHDkyf18X/xz37a3CWliEZhsYBrjBSLh/8dl9lovBu2cPXSs+RIaNu8u8NW2E3Ory5IMYxMdBOKTuzaoffBf3HmMBWhmJ0Pbqq4fI2Pc7BjXm+hWfeSes2Wy0vPA8Nb//HZ4d+pGpt6aNtVf/jZp/fWjojN0dQfas7Tzm7c1AQjHQQXxy8HgifT4XHv3eNtrr43c69kawy4unuhmngXQRgHfHDhzDhh8iW9WvGFRb7nd8ZtMRPTBnRct1Qq1thLs6keFwwhM0qTyXcLePA098QKDFRelNc9ESlGfZk8385aubyCywM/PyAqZekIcjJfHXuWF9gKwsjeIh/fuVNzaF+cfjbr7/3cQpgp2ru3AkmxgyMond61w4U80UVhxZphXyhzFZtIOcu75OP/UbWymbZczs1bGrldYtjZSdV2lIKr71H2uJBMLkTikia2weJmt8+/oNLax5bBu2ZAu2FCtjPz+MzLIjP2d7c5DqHX727/JRXx3g2tvyset0JUL0xmXUXNMXLP8gwEfLA7jdkrvuSdyMEw5JNBPsXt2JPdlERoFx2qzh5bXkX5BYAaU3XCs+JOvii/u09r7gU1An/JnDZ94JmxwOksaNx5yeDppJN0Kw5qRgzU7BXphOztwxCR0wgMksGD41nU3vtLJrVQcTzszWdcJNjREuvaCNMWPNnHWunYXXJ2HTUeXYvivA8HKLrhCklJIbvt7OqjUBLr3ESUV5/Pe3J5l46/EGWmr9OFPN7N3UzR3PjCUj79BSqbq1Taz5xzY0s0bW8DQySlN55xermPKVMUy9YQxar5xk3dJqgr0Y54KeIOvuXcb2x9Yz6pqJlJ434ghnHHQH6NjZgruui+pXd7LtsXWUXziSk783Ky7Zusmq0bCxBW+bn+Fnl5BRGr/D7cBuP7+5ZT/urgjnXpmZ0AG7uiO8/Y6f1xb7yMrQ+PUvjQnQN2/3M3akcW619kCYxx7xMKLSzJJ3/cw+Lf6Y1hov7z5eS0OVh2vvSdwIBDGOj1CYzrX7KP6iMS1psK0NNO3opexV8Sl4+vss4TPvhAFyv3QlSEn9g3/FMWwY5rT4F58QglF3XYol3cmOny6i8meX6IpBjpyRQXqujdqd3Zgs+pHXqbNtJKcItmwOceMtZl0HDFHVIaPAZ291mMoRZlJTNZ553sMP/y9+NFwyKomFd1Xgagvyw3M20N0R4t7rt/HDJ8ccUltcMqOAkhkFhANhWnZ3sv0/ewFY9dAWumq6OePn0w46Yhk57FqM/UcikVIe8rd19y2nc3crZoeFjJHZ5J5cyL43dnHSLTMYdumYQyK8cDDCnndq2PriHlIKkxh/+XD2LavnjJ9OixsJRiKSHeu9FFfY2LvVx6U36TyyS3jmeQ9vv+Pn2X+qNWGo+puaA2FsNph7lo3JUxPLPPncYd5/qo6ULAsrX27kjIWJFZT3/vFNhKaRe/ZYXUUQKSXudesINDSQMv1jkLUrYjAS7l+cEE64J/rNuuBCWv79PHnXLkx44jtjyhtDr5/DnvveoPJHFyW8ACadm4Mz1cL+LS4euXUrNz4wFqs9fvRsswvmnWtn3HiLnl7mQYyuNC7oLy8z85s71cnYW+v8nPuVQlKyLKRlWQj64y/EZDWRNzqTurXNzLh5PEOm55NTmX5IJFw0u/SQMR07Wzj5ezMpPa/yiPTCqKsnYMt0HPzO/Z0+Zv9hPjkTj1T53fzCbkK+MGf/6hQc6TZcDW7GLhiG2Rb/e130UAtWm+DuZ8t5+7l2svISO8CUFI0/3ZfOT37Rxakz1SoHxo1Ssxs1xszi93IoLNJPxfjd0Q3iIaNTmDI/VzfFEOzw0L5iD11ba0muLMBZGv8GI4Sg9aUXkX4/mtWKrbgIU5J6xU2fMLjx1u84pk5YCPFd4B4gR0rZMtDvZysegrWoGNfKj0idNl3XNmVMESlbC6l7fiVFl02Lb5MZdZRlJ6Uy56oiare7KZuQODf7vR+mkKHQijxQKB2bTOlY9Ytz4pXqpVXpI7JJHxG/CcaedWjZly3NHtcBA5x0xaHq1in5+kx2l9yQfdCRnXW5cXSbnWXi9/ek97mF3AiXXKpW2oaAL/1iBDMW5BvmeIXFjDnVQdmNcxM64B6YnE6CHg/CZhs4B9yzrsGNt37FMfMIQoghwJmAurZPPyBj7hm4N6wnEjAuRStcMBXNalba9R5/erauAwaOqQP+rEJls+pwDEQrsiqGT0nnlM8XKK07ZXQh4/90NWkTjQU5Tenp5F59DWmzEpNT9RcGqyP6F8cyEr4P+D8GkJ0oHoTJRP6Xv6JUwiM0QcFFkz6BVQ1iEEei8JIpyra5V1454BEwEEtHDOYj+hPHJDQTQlwA1EopNyjY3tDDzt/c3Nw/7z9QNZSDGMQxwifigGNQVNYYhCIGLBLWY80HfkiUu9MQUsoHgQcBJk+erPzz7vmumroswNDHfq1suyajVNnWqal231Urz1lqVsw9ApenqCsSz3Gqr6EjMjCnTbqmrrZcpNheHIV6C7tqO/Iyb6nynGtc6ra19fHLy6SUhFs6MPfiiNj3HfVzvF8x6GT7FQMWCUspz5BSjj38AKqAMmCDEKKaKGv9WiGEsXzAAMO9ciMRt5ru1yAG8XERCUXY+3a1kq1vww5cby8f2AUpoKdZYzAS7j984ukIKeUmKWWulLJUSllKVGLkZCllwye9lsPhXbeN2m//itaHX8C/t0bXdt3fN7Dlqa24al2G8/o9RwprfpoRiUhCfeA1+CyjtsaYc6Q3GvZ6Wfyo2hPIxsc24eswbluWoTBdry0h7YLT+7SWAYGUiIjxMQh1DG7X94J99DBkIEhgz/64IpW9kZyfxEf3reK5i//Nqj+t0XWyG5d0cOustfzx5h289lAd3e3BhLZSStasClBbEyYc7t+TuakljM+nNucXLmujqso4PRCJSH5+WzvbNxtLsm/fHOCZx7qp3a8/r9cr2bolSEd73/kYVKB6gwn4Jdd+sY2f/7jL0BlXb+7G2x3ikdurOHmuccda645Wmre0MHKBcRlg97srcE4bj5akpggy4Bgk8OlXHHMnHIuIB7xGWAX20RXYxw7HXJhLsEF/SUPnlGCymUjKdTJ0ToluydGkszKx2DTWvtWOuzNEUnrinKoQgtde8XHaKc2MG97Ir37RpeuIpJT8/Z9drN9snH9+8VUPF1/ViKtbv4bosUc9bFgfZP68Vp58wpPw/dvbwjz2Nxcrl+aihsYAACAASURBVPn4wnlN3HxNC7u2x7/BBPwSn1dy7y87mD+rgcvPaaShLr4zttvh13e5mDi+ibEjm/jXPz2665VS8uQLLqoPJL659cbvHujkP2+6De2WLwuwrzrMqy97aahP7ISllNx/4w7uv3EHF91STM6QxDnofUv207G3gxX3ruSU26brnjcyFCLc7cazajPJcz4RkQclDKYj+hfH3Al/mmDOSif7a18g64bLcL21DH/VgYS21mQrE78ygQsen8/qP62hfm3ibIpmEpx1XQGTz85kz3oXG9/v0F3Hzd9OJi1NIDQYd5JF90IVQpCeppGXY1zxkZWhcfUVyYZO+OSTrYRCMG68mWBI4nbHv6psNsGosVacyRpZORqfm2NnaFn8G8yBfSHeWeyloMhMcYmJn/4mg/zC+LZCCKzW6Ge+6BI7X/iSfgQohMBuEwxJMN/hOOs0B3M+ZxxVvvmGj+wcjfkXONATrGjc56OjOcjONS7WvNmmS1HZtLGZl656hYxhGTiy9NfQ/Mcn6XjqVVLPP+3TU9EjgZg+oe4xCGWcEG3LfUHPI1/2jVfQ8sd/kvmVS7HkxhdOHHdVlPfgjN+ezjvff4+wP0zxjKK4trMuyWHCaRmkZJj5xx1VhAKSSWfG7/DKyNC4+VvJDC0zUzHM+OL7/Plq5UkLLtDvPuuB0ylYsSqH3Dz993YmaUybaePzX0ri/AVOHDrMZRUjLNx6RzrpmV1c+qVkUgyk4X/7uzR+9tMufnFnqlJjw4L56iVaE8aqtSJ/6SonP78r1bC7bs/6brKKrJx1TQGzFuRi0rF31boIByI0b2qmdWcbOaMTS235d1QhAyEwm7ENK0FzHHsdQ2Aw3dDPGHTCCWBKTSbzK5fS9tBzZH/jKkwpRzqwHudgTbYy957TWPWHNRROKYir+GtzmrA5o07tq/cOIxTQP5O/eLUTTUOXRW2gMHyE+mkhhOCyq9Qd4MKb1FQ50tIF99yb1q90k33FmHGJeSh6o3JKKne/OVHX+fYgHAxz6k9nUjGvXJ+UJxJB+gJYhuSTcvr0T48DZjDd0N8YTEfowJKbRfoX5xPxGu9gWxwWTrltuq7keg+EEFhs+nYWizgmDvjTAiFEv/M7DBSyi2xKDhhg7t2nMezcCl0HDCADQVIvOJ38n3wd61BjPudPEp9EdYQQ4h4hxHYhxEYhxCIhRHqvv/1ACLFbCLFDCHF2r9cnCSE2xf72BxGLkoQQNiHEM7HXPxJClPYac40QYlfsuKbX62Ux212xseoy5X3EoBM2gK2sOGE6YhCD6CtUbtIAmt1G+iVnDqxM0dFApTKifyLlt4CxUsrxwE7gBwBCiNHAFcAYYB7wFyFET97sAeAGYHjsmBd7/ctAu5RyGFG6hLtjc2UCPwGmEZW3/4kQoqe05W7gPinlcKA9NseA4FP2Cx8bJO1QF0Rcmx0/5/tx4Imov/8Euzrf0SjrwHSglQyQzHxYheMzhtaIelNNVVD9UV5VlLMvXXBrm9TPmb6ci8cC0WaNgc9HSCnf7PXfFcDnY/++EHhaSukH9gohdgNTY41fqVLKDwGEEI8DFwGvx8b8NDb+eeBPsSj5bOAtKWVbbMxbwDwhxNPA6cAXY2Mei41/oP8/6WAkPIhBHDcIdrYf6yVEEVE4ILuH8yV23PAx3nEhUWcKUAT0Lluqib1WFPv34a8fMkZKGQI6gSydubKAjpjt4XP1OwadcAxhn5fuqu3IsHH0eDx1vw3ik4e31UvQo1az3PDMMrzVxirKwc526l55EhnpWwffQEBIaXgALVLKyb2OB4+YR4i3hRCb4xwX9rK5HQgBT/a8FGdJUuf1oxmjN1e/YzAdEYNms9PwxvOEfR6SK0aTOXU2joIhcW19e5uovudFkkYWkzSyiJRJ5Viz4+/6dzd0U7+mkdQhKaQWpWDPtB8VB+4gjLF5S5CxY4wrGlxdYVJSTX0S+1z6dB2jZ2WSVaSf2vB1+HjnB+9xyvdnkFGur3rSsXw7/to27EP1CdullDQsfoG8My9GaMe4XrgfO+KklGfo/T22UTYfmCv/F/nUAL0vzGKgLvZ6cZzXe4+pEUKYgTSgLfb6nMPGvAe0AOlCCHMsGu49V79jMBKOQQhB6piTifh9hD3d2HPjKz8AOMrzsGSm0PbWBtqXbsXkTJzHc2Y72fT4Jl69/nWe//wiGjckjnqCgQj3X7uBOy9YzW+/sI53n9Dnr9iyzsdrL7h44fEunvxrB10dxlGSlJLaujDd7uODeTsYVLvil37g56abOzhQY9AS7fn/9s47PI7qXNzvtytpteq9WJaxjQs2xrFxwQVsigFDQgyElkIgEHxJAqaE3FASIAnkRwmEkFwCBLhAApgSuHQ7Bptu4wLGBoOrXGRZkm11afuc3x8zQm3LGFZayZz3eebRaubMmW/O7n575jtfMbj2klpWvN3GtfNroz7VrF2yD8NQPH/nVmoq2sgtCf8+B30hjKCBv8XP0mvfYsqCyTEVsGd7LfteWUP5L+bG/FFu+GQFqYOGkFrca0/EB0Df5I4QkbnAr4HvKqU6h0y+BJxneTwMw1yAW6mU2gM0i8g0y977Yzpylb8EtHs+nAUstZT6YuAkEcm1FuROAhZbx5bRYYe+gF7Me66VcCeyxk4ka8wEkjKyaPhkZdS2RWceReqQAjAUzR9XRGznSHIwZcFks//BmYS8kZVEcoqDU35+CFWbW9m+romiodEXy9IzHdzzu/3cfdN+1q3xxQyAuO/BFkaNr+ak02pxpUT/4tc3hLj4yloam2Ira59P8dqbscOAAaqqgyxfbW9R7c132rj+1rqY7VpaDK6+ppHNm4M8/XT0vp97rIm1K708cGc9N/25MKICDPoNFv5uE3f/cC05hS7Oum4Ejggug7uX72btI+tYeu1bTJw/gaJxkWe2De99TrCpjcr/WcSQq0/D4Yo8cw80NxBorKPps48omH5C1PvqU5SKvX19/gZkAktEZK2I3G9eWn0GPANsABYBv1BKtc8+fgY8BGwBttJhR34YyLcW8a4GrrX6qgP+AKyytt+3L9Jh/gBcbZ2Tb/XRK2hzRCdSC0spOfksHK5U9ix6FrXybfKmzg7bNvPI4ZSnuXAfWkLlfYvwVNRQ8oNZYf0/B88o4/DzxjBx/gQ+/PMqdry9iykLJpHs7vkFHDU1h2PPLyO7MIV1b+7jg+f2MO+qYWEV8tARKdz8lyL+++IaigclcfkPqrnr0WJcEXyQL/lJOuvW+wkEY5f4yc1xMv/8LLIyYz+uu1zCnGPseVeUFjspzLf3SH30UW5bBU/XfBTgO99OJTNDyMlx4PUqUsNUs25uCvHEA424UgURqNjiZ9zE8OaFT97cR/P+AG1NQY48uRClVESFvfPdXWx+eQsjv3MoxeOLospa9dhbqGCIQ3753YgmLDCDNXb8639Izs4zzRD9KGy5L8oXWe5kkY7dCtwaZv9qYFyY/V7g7Ah9PQI8Emb/Nky3tV5HK+FuON2mMik95WyqFz/PvuVvhp2FiAjpY0wTVPkV32bvS6vYftvzDLnyOz3MEyLC1CunIA7hmN/OZMfbO1l8+RKOvWUWGSU9o83mXTUMnydEZl4KVZta+ezduoiz4hnHpXHDnQWc8r1MfD4jogIGU/He95dcNm+157p21CT7rl0pMWbW7YgIyfYC0XC5hNLi2B/R2bNczJ4V27UrFIRHXh5ESVlSTFvwxuUNHH1uKaOn5zJqak5EBWyEDHa9V0lyejKI0FTZTM7Q7LBtg42t+PeYHg61zy0nbUQpjtTwgxFsbiDQsJ9gcwMNa1dQPGde4u3B7eiF6biilXAERByUnPw9at98kbrV75I3OXIBRRGhaN5Umg8ppHHFJvKOP6Jnm05f+kNmD6H4W0WkZIaf5aW4naS4zS/coFHpDBoVPefDKd/LBIiqgNtxOITRI21qwYOMnDwnOXn2FNkPfj8qdiPAW+9j+q+OovzowSSlRv86tX5RRcYRQyg84yiyJo+IGjXnb6wDh5PcScdQMPPE/qOAQeeOiDNaCUdBRCg6YR6G154NM3PCMNt9p+b0n1wAmq9OWoGbYXOG2mqbOWEo2UeNtNXWmZrGoZf8Nyl50T0nEoEYA2NRd6CglXAMRORLE4VG83WItgjXndSi/pUv4ksU7cEYmjihlTCw4Y9X2W479vo/2277xuhMW+0+Ly223eeHOcNttx2bYd+1sTip0XbbLGfshEZfhaaQ/aeDCl/0BbDObPfYz/2xucHezDNSQc5wHEgo8oF8FhOBoPokbPmbhFbCGo3mwNBKOK4kzE9YRC63UtF9JiJ3JEoOjcYugYbIpZ46owyDptffxfDHDl32VO2gZunL8RCv7+gbP+FvDAmZCYvIcZiZjcYrpXwiYv/Zsh9Qu+xlWio2kZKTh6ugxFy9dvYcShUKUf/Uq2AoHG4XyWXFpM+YGLZPIxCi5YsqVNDACARxpCaTPX5ITFkCrQG89R4yB9tLlu73hEhOddgKnQ74jJh5j9vxtIZwp9tbwW9tDpGeGbutzxPC5bbXZ2c/3sY9bWQWuSMGV7QTaAuw7uG1jDl3LGlF0T1Q6ldtY/dTyxl94xkk50ReI1D+APsf+TcpwwbjSIluA/ZWV1Kz9GUGn3lh1Hb9Cm0TjjuJmgn/DLjNSkeHUip2BpN+RN7UYwnU76N543qSsnLCKmAAcTpJGTaYlqUraHr1bZKKwpczApAkB7WL17Ph2qf54rf/xvBF9uU1Qgbv/PZtFs55gqeO/xc739oRVd4dH9fzxn1beOCClTx97broxSWVYtu6Fh67cRt/v2pz1H4BWpuCPH57FY/9v9j2Z09riHuv2cHHbzcRDCh2bvIQjBCWXF/j5y+XbsQIKTauamLh7TvwtYUPy/709d3UbGyivrKVl29ey2u3rsfTEL768+4VuwHY9e5O3liwmIJxhbgLeyrVQJMHwx9EhQx2/u877Fu6gTG3nBVWASvLWyDU0sbee/9J2qRxZJ18dNSx8O7dQ/WSFxh8xgUkpdmvTNIfEMOIuWnskyib8CjgGBG5FfAC1yilViVIlgMmKT2T/Blz8O2tpmXTZwRbmimYfkLYqKb0GRNpW7kehyuZhmcX4544hsw503sk6xYRhi84ibbtezF8QXY/uRxvZR1Fp4zHmdrVn9jhdDB5wRQWb9hLyB+i8j0zG9+wkw8lLZxC8Rl88MRO2hoClIzK4LU/baT8iGzKx2eTXdI1odDyF/fx8PVbMUJQWO7igV9uJqsgmXEzczhiVtd8CMsXNXD/b3bR0hCiqDyFm3+8BYAfXTOIEeO7ylGxoY27r9hBVYWPrZ96WPpsHaXDXHz/qhIysruOxb7dPu68cAN7K33c9qMNjJycyZST80hO7Tln2FfRzMs3ryX/kAyyStwcffEIBn8r/I/drnd28uEdyykcX4Q7380J95xESkZ4X+09z6/GmZ5C48c7yD96FOUXHhPxx6v+qVfJPHEGdQ89R87ZJ+MaOTRsO4C6Ne+RPnQk1Yueo+z080lKt7d423/Q5oZ402tKWETeAErCHLrBum4uMA2YAjwjIsNVGIOblYd0PsCQIbEfz/uKvCmzCDY3kZyTR8PaFexceD/FJ51JamHXxD8iQt6FZ6DaPCSVFtL6zmpqb3+IzFNm4Z44pssX25GSxOgbz6Dx4x0UHD+Wfcs28Pn1z5E9YQgl844kObtDsaUVpnHiX0/mo79/xMzfzGTXe7v48M7lGAGDb82fSMGYjgKSI6blc9kz0/nngo857drDSHI52LW+kWX/qOD0347pIu+M0wspPyyNx26qYNwxORx3bhGN+wKkuHsqwKknZoOCFx+qpag8havvGRpxvLxtBhNnZxIKKspHpnLNX8O3NQzFksf3kJTswOEQxs7I4vTLw2ezC3iCPHv1agKeEA272zjrrsnklYc3KwQ8AVbetYK2vW2ICFOuPiqiUg00eah+cQ2hNj+jbzqDvBmRfXuDtXW0LPkAz6r1FP36EpJLI3tX+Ov3U/Of53EVllJ+9sUkZ0ZP8tMvUWglHGckEblxRWQRpjniLev/rcA0pdTeaOdNnjxZrV69ug8kjEwkFzV/Qx3Vi58jrXw4+dOPR8RB62hf2LZGm5fGV5YR3LOPgst/yOCyyO5hylDUr9iCZ+d+ys6bxsicrkMU8gVxujp+S731XpShcOe7e7io+T0h/G1BMvJ7ukx1d1EzDMWerR7KRvacWXd3UVNKsWOjl6GHxS4jr5Riz3YfpUNdPZRgdxe1oN+grtpP0ZCermsVviLa6n3s296CMgAFGYUu8g/p+Wi/3ZPPrnd2svPtnbjzUnHnuxl64jDc+T3vbXNDITsffZc9z6/CfUgB2RMOYciFxyDOrj9C7S5qDc8soum1t8HpJOecuWHNEO0uavs/fIvapS8BUDzndPKmzOrRNtEuaiKyRik1OdLxbHepmj78opj9LN7wx6j9aDpIlDni/zDLh7wlIqOAFMwcngOWlJw8ys/5KS1bvyB8TugOHGmp5J5zCkarB3FEN8uLQ8yZWITZWGcFDJCaG9nXtnM4dCwcDgmrgMPKKGJLAbe3HTTMnj9wUoojrAJuJy3XxZBcez645bOGUD7L3pNU8anfovz8mT0Ub3eUUjgy0yj85U9wjRqKwxU92ZC/fh+Fs08la+xEUnIGbt1C7SccXxKlhB8BHhGRTwE/cEE4U8RAQ8RB5oixtts70u0pLk3f4iqy52kiImSd0nM2G4nSuWfFbjQQGPhf1X5FQpSwUsoP/CgR19ZoNF8DpSCkvR/iiY6YO0B6w2Y3/K67bbetHhQ+TWI4KgrtP/LmpdpLyg6Q6rRfxflA8IbsfxyrWuyPw756+x4IstueqWTHNVfb7vOgQ8+E44pWwhqN5sDQSjiu6PJGmm88ymZwgeH14q/e08vS9HMUYKjYm8Y2Wgn3E/y1NTSvXEnjW8uoe+1V/LWRgwiVUgT3N+L5dCtNS1YQam6L2PbLc0IGjZ/uJuSzV4q9ZVeDrTwJAN46e/mWAYIee9dXIaPH9e3K46tpoObF2K6MhtdH/TNL2P/YKzHberZsYc9DDxJsarYlw8GLAmXE3jS20eaIfoIzI5PGZUsJ7N1LUkEBOccdH7Ft25rPqb3nKTAMXCOHkHn8lIhtGz7ZRfUrn1C/Zjvu8jwm/OUHEdsawRDV726n4oVPwSHMvOe7UWVu29vK+gdW43Q5mfwr0z9WKYURMBCH4Ejq+I0P+oKsvXcFBeOKOWTuCDx7W2mqaKCxop7hp40mOb3DvSvkD/HRLW8y8frjUAGD2tWV1K7YiWdvC9P/9J0uFSlCbT4aPtxC/nGH07KxipoXVmH4gxSf3tNFNVBbh8OdiiM9lZZ319K8bBXZc2eQdlSPsmQEm5pIysrC8Pupe+1VDI+Hkot+ijPtG55bWqEX5uKMVsL9BGdaGsU/vYSqe+/FPWoUNY8+SnJhAZnTZ+Aq61rqPH3yWIoWnEvtX5/GmZPBnlseJrm0gPQph+MedyiS3PG2Zow0cxUHm70Em72su+ZpnGkppA8vJH14IZkji0ktNSO39q7Zzbp73sNX14a7JJP3rzQDC8ThICXLxeATR1IycygAO9/cyspb3yHkDZI+KJNll7/acS8pTsbNn0zeaDNqr2FrHctvXEpTRT1711ZT8epG3EXpZA/NJWtYLtJZWbcFWPmbRexdVYmv3kNSahKFU8sZ+cOJpJdndwnwUIZi212v4quqZ9+S9biKsxn0w6Nxl/dckFSGwb4HnydlWBn+it24x4+k5PqLwibZUYZB9f8+TO6cE2lYtozsWbPJGD/+gN7Pg5o+sAmLyB8wk3wZQC1woVKqyjp2HXAxEAIWKKUWW/snAY8CbuA14AqllBIRF/A4MAnYD5yrlNpunXMB8BvrsrcopR6z9g8DFgJ5wEfA+ZZXV9zRSrgfkZyfT8nFF+PMzCQpNxdf5S6a3n+PYH09GZMmkzFhwpdhIOlTx1F0pZOkvCxcw8rwV9bSuvJTGl95F2d+NoX/dSYASWkpjL7+22SPH0zIG2Dw2VMItvpordhL69a91K2sYNA8M7Nb8VFDOOHJ77Pp0dUE2gJM+JVZadoIGgSafV2UZfnxw0nJSmXTwvU4XU5m/vHEiPflb/JRNLGUQIufnBF5TP9d+Fm+UorNT35M4yYzbifv8GLGXjotYr9VT71PwwebACg7/xhyZ0SuC9f8xkq8Gyrwbd5F2W2Xk1xaELnt6lX4KyvZ9/y/KbvyapIyB1p+h16mbxbm7lRK/RZARBYANwKXishY4DzgcGAQ8IaIjLLK3v8dM8XBCkwlPBez7P3FQL1SaoSInAfcDpwrInnATcBkzDn+GhF5SSlVb7X5s1JqoYjcb/Xx9964Ua2E+xmuTvkxXIPLKTznXEIeDy2rV6OCwS6xeOmTOvI+pAwuImXw8XDm8QT3N3ZJJiQilJ42ASNgZiFLSneRPW4w2eMG97h+cnoKh/9iBv7mjpBrR5IDV27XwBIRoWRKGSVTymitbol6T0UTSymaWMqRv5xBw5a6iOXjRYQxP53KYRdPwbu/jZadDRHbqpBB2rAihv/qNELeACoYPsMagOHx4dmwjfRpRyBuF/4deyIqYcPrpX7xIpzZ2STn5+PbtYuksfYDcA5++iaBj1KqqdO/6XSUF50HLLQyMFaIyBZgqohsB7KUUssBRORx4HRMJTwPuNk6/zngb2J+qE4Gliil6qxzlgBzRWQhZkRvu+3uMet8rYS/qTjdbrKPaa/2HLu0UFJ+eB9aR7L9ir0pmfZL8qSX2EvFKCLkjoztuywiuAvScRdEzvErTkfUmW9nHG4XxVdGtoV3wemk/NrrcSR/MytSx0QBfZSq0sqy+GOgETjO2l2GOdNtp9LaF7Bed9/ffs4uAKVUUEQagfzO+7udkw80KKWCYfqKO9o7QqPphCM5WSvgWNirrFEgIqs7bfO7dyMib4jIp2G2eeZl1A1KqXLgCeCy9tPCSRRl/1c5J1pfcUfPhDUazQFgO2x5X6wsakqpOTYv+iTwKqb9thLonNt0MFBl7R8cZj+dzqkUkSQgG6iz9h/b7Zy3MJOJ5YhIkjUb7txX3NFKuB+w7Ze9EwI74jb74dA7ciLbVHuQ3EuTgkDskkvtpNba/+huu7F/VzAeUChQfeAHLCIjlVLtpV2+C3xhvX4JeFJE7sZcmBsJrFRKhUSkWUSmAR9imjH+2umcC4DlwFnAUstrYjHwRxFpL519EnCddWyZ1Xahde6LvXWvWglrNJoDo28i4m4TkdGYLmo7gEsBlFKficgzwAYgCPzC8owAs2zao5guaq9bG8DDwD+tRbw6TO8KlFJ1litce1Wf37cv0gG/BhaKyC3Ax1YfvYJWwhqN5sDoG++I70U5ditwa5j9q4EekTdKKS9wdoS+HsFMrdt9/zZg6gGI/JXRC3PfAJRh4NleQeuGT221D+6vJ1Btr/ZqqKEJwxu+gkh3jDb74c0q1NM8ogwDwxO7D//eGmpffR7//qiFWjRfBaVM74hYm8Y2eiZ8EKMMg/2vv0Lzx2swWlvI//Y809c4qefbrpTCt3U7zUvfw7P2U0quW4AyjIiVPwyfn+b/vEPzmx9QdtcNqGAIw+tD+XymUjYMUsoHfdm+deUntL6/mqKrLibU0kqwei8Ba3Omp5F1yrFftvV8vgn/th1knTqHYM1evF9swbtxC0ZrG5nHziTtyCM62lbuAMMgtWwIrZs20LhmBQ53GjlTZ5KcFzkgQ/M10FnU4opWwgcx4nCQPeNovDu342ttwV9bzZ7HH0aFQjjdaaQUl5BSXEzaYWNRviBtqz/B88lnoBSNryxB+QM9kuYUXXYRhsdD7Z8eJFBVA04HtX9+GHE6kVQXjlQX4kohKTeblPJBGB4v9U++SOvyjxB3KjV3PoAjI43kkiKSSwpJm3QEySUdxTFblq+m7l/P4czNwfvFFpKKC0kdPYK875+JM6urP3Kgvo6qJx/GVVKG4feRPnIMxaefR1KGjnDrPVTYpxTNV0cr4YOc5Nw8yub/gro3FpN11HSSc8yF4FBrK/7aavw1NWAoHKmp5J13Opmzp1P/3CvknnUaSRGSwjvdGRRf93Na3l9Ny5vvk/+Ts0nKzw3bVoVCuEYOI9Tcim9zBQWXfB9nTvjyQYE9NbS89yHidGC0eSi8/gocaeFLQIU8HnY/8Q9CrS14q3YybMH1ONMiB3do4kR7KktN3EhIteWvSn+otjyQ6O6iFikEGCDQzUVNhUJdQp+70MlFTRkGyh/AkRo7ws5o86ACQZzZEWaqlouaCoUIVFXjSEuLqNyTKrz4a6sJedswvF5cJYNILe0Zhg2wUbuo2SZmtWVHvpqWMjdmP//xPamrLdskITNhEZkA3A+kYrqZ/FwptTIRsnyTiKSAw7aNpIC7t3M4EBsKGIg4qw137ZTy6FGiSekZJA0bYas/TfxQmNnrNPEjUd4RdwC/U0pNwMyOdEeC5NBoNAeC0knd402ibMIKaDcMZtOLIYEajSa+6IW5+JIQm7CIjAEWYybKcAAzlFI7IrSdj5kjFGA0sDFCtwWYMd+JRsvRFS1HV/q7HIcopQrD7AdARBZZ58Zin1IqtvFY03tKWETeAErCHLoBOAF4Wyn1bxE5B5h/AMk8Il1vdX9YCNByaDm0HJoDodfMEdGUqpVw+Qrr32eBh3pLDo1Go+nPJGphrgqYbb0+Htgcpa1Go9EctCRqYe4S4C9Wbk8vHTbfr8ODcegjHmg5uqLl6IqWQ9OFARWsodFoNAcbOouaRqPRJBCthDUajSaBDFglLCJPi8haa9suImsjtNsuIuutdnFPPCEiN4vI7k6ynBqh3VwR2SgiW0Tk2l6Q404R+UJE1onICyKSE6Fd3Mcj1r2Jyb3W8XUicmQ8rtvtGuUiskxEPheR8gbJqgAABUFJREFUz0TkijBtjhWRxk7v1Y3xlsO6TtQx7qPxGN3pPteKSJOIXNmtTZ+MhyYGSqkBvwF3ATdGOLYdKOjFa98MXBOjjRPYCgwHUoBPgLFxluMkIMl6fTt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""
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"source": [
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"source": [
"From a skyrmion-like configuration as the initial configuration, we obtain an skyrmion configuration after minimising the energy (i.e. an isolated skyrmion in the terminology of this work).\n",
"\n",
"We conclude that for a radius of 80nm, both the \"incomplete skyrmion\" and the \"isolated skyrmion\" are meta-stable configurations. We can compare the total energy of the system, to decide which one has the lower energy (and thus is potentially the ground state):"
]
},
{
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"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-2.30818938003e-17"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
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]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-2.15803609004e-17"
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},
"execution_count": 17,
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]
},
{
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"source": [
"We conlude that the 'isolated skyrmion' (which we obtained starting from the skyrmion-like configuration) has the lower energy at this diametre of 160nm."
]
},
{
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"metadata": {},
"source": [
"### Other initial configurations\n",
"\n",
"The study has tried other initial configurations (see paper for details), including random configurations, to attempt to find configurations with the lowest energy possible, but none of them had lower energies than the relaxed configurations reported here."
]
}
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",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
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GF8nykflWrNVkAD23ifhN0RvY4W/9WOgs4jd66rMT9/px6BURn2g/nzkd6MfmEBEvd2gCi1Tqx4FkEb973xAWfLsP/f8T8TNel9Olz3qxfacc3yVOoPFh3ag5RZ7Pi7pMO9e3YcWxsby5/0q6oPArpooVeTWjL0LtdTHqW0zkB751opbhP+i3Rpk3LTDhhiyUgz/8bJM0P1PhKUzZNZHnp67nO9ZUgU6aIv9ppC9vfqEFvh8ZyxtpJ/GksRN2TpbnV96p5NfN74XV/8rxtSHS5EBsH3Q0ifg4h4nEbn8/WD4X8QmWf5OilH7QDBbxZdsNiHR5P0z1EvG2ezaStOp+eHhWxFf87wC5/bsfRm8W8QdvOhEZrQEIyJfl2yw8SHZPP5RajuFDrfyJ7K928B82iv8/rIzaJA==",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
{
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zT1iZgrc+zeGq73L4kZ9S0P7HUn4nfx/PPZiMBxzjeWrEAW52JglTZbk8/Nd8XrYvAZPrL3ONn0p5l0sMxrUOExNKWrnBrZXodNtD2HsbiEc5DOsfFYi+U7YJK/sKkEt/3Mv/d6+bOBeIsSomVNxYIEZeXCc+Of5Ctps8xPpPM4VbaiTNSR4m9roqCtuXcaSscZk3jmvgzpOSqCorh698tIevLEmm3V/W8LdeITzKP4Vely3h3f4zefP5FBq315nfPG3G+7Wk0KutdvzLY1te3Z5CdxYyPqsinB98n0IR6ydz+4A8PtRqLaXsaJCan0v8zy8plDTpoExl2p9c4VUsXWv9zv4HQvEtOQ==",
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",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
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",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
{
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"text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera=[4.5, 4.5, 4.5, 0.0…"
},
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"path": [
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]
}
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"model_name": "ObjectModel",
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",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
{
"data": 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"path": [
"vectors",
"compressed_buffer"
]
}
],
"model_module": "k3d",
"model_module_version": "2.7.0",
"model_name": "ObjectModel",
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"_view_name": null,
"colors": {
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},
"compression_level": 0,
"head_color": 255,
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"id": 140497548216080,
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},
"name": null,
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},
"type": "Vectors",
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},
"visible": true
}
},
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"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
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",
"encoding": "base64",
"path": [
"origins",
"compressed_buffer"
]
},
{
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}
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