{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Collinear spin and magnetic systems\n",
"\n",
"In this example we consider iron in the BCC phase.\n",
"To show that this material is ferromagnetic we will model it once\n",
"allowing collinear spin polarization and once without\n",
"and compare the resulting SCF energies. In particular\n",
"the ground state can only be found if collinear spins are allowed.\n",
"\n",
"First we setup BCC iron without spin polarization\n",
"using a single iron atom inside the unit cell."
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "1-element Vector{Vector{Float64}}:\n [0.0, 0.0, 0.0]"
},
"metadata": {},
"execution_count": 1
}
],
"cell_type": "code",
"source": [
"using DFTK\n",
"\n",
"a = 5.42352 # Bohr\n",
"lattice = a / 2 * [[-1 1 1];\n",
" [ 1 -1 1];\n",
" [ 1 1 -1]]\n",
"atoms = [ElementPsp(:Fe, psp=load_psp(\"hgh/lda/Fe-q8.hgh\"))]\n",
"positions = [zeros(3)]"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"To get the ground-state energy we use an LDA model and rather moderate\n",
"discretisation parameters."
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -16.65007530892 -0.48 5.0\n",
" 2 -16.65071310834 -3.20 -1.01 1.2\n",
" 3 -16.65081518305 -3.99 -2.30 1.2\n",
" 4 -16.65082460722 -5.03 -2.80 3.8\n",
" 5 -16.65082469514 -7.06 -3.41 2.0\n"
]
}
],
"cell_type": "code",
"source": [
"kgrid = [3, 3, 3] # k-point grid (Regular Monkhorst-Pack grid)\n",
"Ecut = 15 # kinetic energy cutoff in Hartree\n",
"model_nospin = model_LDA(lattice, atoms, positions, temperature=0.01)\n",
"basis_nospin = PlaneWaveBasis(model_nospin; kgrid, Ecut)\n",
"\n",
"scfres_nospin = self_consistent_field(basis_nospin; tol=1e-6, mixing=KerkerDosMixing());"
],
"metadata": {},
"execution_count": 2
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Energy breakdown (in Ha):\n Kinetic 15.9215629\n AtomicLocal -5.0697510\n AtomicNonlocal -5.2206057\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7794659 \n Xc -3.4467876\n Entropy -0.0182882\n\n total -16.650824695136"
},
"metadata": {},
"execution_count": 3
}
],
"cell_type": "code",
"source": [
"scfres_nospin.energies"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"Since we did not specify any initial magnetic moment on the iron atom,\n",
"DFTK will automatically assume that a calculation with only spin-paired\n",
"electrons should be performed. As a result the obtained ground state\n",
"features no spin-polarization."
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"Now we repeat the calculation, but give the iron atom an initial magnetic moment.\n",
"For specifying the magnetic moment pass the desired excess of spin-up over spin-down\n",
"electrons at each centre to the `Model` and the guess density functions.\n",
"In this case we seek the state with as many spin-parallel\n",
"``d``-electrons as possible. In our pseudopotential model the 8 valence\n",
"electrons are 2 pair of ``s``-electrons, 1 pair of ``d``-electrons\n",
"and 4 unpaired ``d``-electrons giving a desired magnetic moment of `4` at the iron centre.\n",
"The structure (i.e. pair mapping and order) of the `magnetic_moments` array needs to agree\n",
"with the `atoms` array and `0` magnetic moments need to be specified as well."
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"magnetic_moments = [4];"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"!!! tip \"Units of the magnetisation and magnetic moments in DFTK\"\n",
" Unlike all other quantities magnetisation and magnetic moments in DFTK\n",
" are given in units of the Bohr magneton ``μ_B``, which in atomic units has the\n",
" value ``\\frac{1}{2}``. Since ``μ_B`` is (roughly) the magnetic moment of\n",
" a single electron the advantage is that one can directly think of these\n",
" quantities as the excess of spin-up electrons or spin-up electron density.\n",
"\n",
"We repeat the calculation using the same model as before. DFTK now detects\n",
"the non-zero moment and switches to a collinear calculation."
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n Energy log10(ΔE) log10(Δρ) Magnet Diag\n",
"--- --------------- --------- --------- ------ ----\n",
" 1 -16.66195674280 -0.51 2.617 4.4\n",
" 2 -16.66832330166 -2.20 -1.08 2.450 1.0\n",
" 3 -16.66905520996 -3.14 -2.05 2.345 2.5\n",
" 4 -16.66909646269 -4.38 -2.54 2.312 2.1\n",
" 5 -16.66910297376 -5.19 -2.85 2.297 1.5\n",
" 6 -16.66910443316 -5.84 -3.60 2.286 1.5\n",
" 7 -16.66910446081 -7.56 -3.90 2.286 3.6\n"
]
}
],
"cell_type": "code",
"source": [
"model = model_LDA(lattice, atoms, positions; magnetic_moments, temperature=0.01)\n",
"basis = PlaneWaveBasis(model; Ecut, kgrid)\n",
"ρ0 = guess_density(basis, magnetic_moments)\n",
"scfres = self_consistent_field(basis, tol=1e-6; ρ=ρ0, mixing=KerkerDosMixing());"
],
"metadata": {},
"execution_count": 5
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Energy breakdown (in Ha):\n Kinetic 16.2944716\n AtomicLocal -5.2225684\n AtomicNonlocal -5.4098876\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8191485 \n Xc -3.5406877\n Entropy -0.0131600\n\n total -16.669104460807"
},
"metadata": {},
"execution_count": 6
}
],
"cell_type": "code",
"source": [
"scfres.energies"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"!!! note \"Model and magnetic moments\"\n",
" DFTK does not store the `magnetic_moments` inside the `Model`, but only uses them\n",
" to determine the lattice symmetries. This step was taken to keep `Model`\n",
" (which contains the physical model) independent of the details of the numerical details\n",
" such as the initial guess for the spin density.\n",
"\n",
"In direct comparison we notice the first, spin-paired calculation to be\n",
"a little higher in energy"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"No magnetization: -16.650824695136315\n",
"Magnetic case: -16.66910446080735\n",
"Difference: -0.01827976567103562\n"
]
}
],
"cell_type": "code",
"source": [
"println(\"No magnetization: \", scfres_nospin.energies.total)\n",
"println(\"Magnetic case: \", scfres.energies.total)\n",
"println(\"Difference: \", scfres.energies.total - scfres_nospin.energies.total);"
],
"metadata": {},
"execution_count": 7
},
{
"cell_type": "markdown",
"source": [
"Notice that with the small cutoffs we use to generate the online\n",
"documentation the calculation is far from converged.\n",
"With more realistic parameters a larger energy difference of about\n",
"0.1 Hartree is obtained."
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"The spin polarization in the magnetic case is visible if we\n",
"consider the occupation of the spin-up and spin-down Kohn-Sham orbitals.\n",
"Especially for the ``d``-orbitals these differ rather drastically.\n",
"For example for the first ``k``-point:"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(scfres.occupation[iup])[1:7] = [1.0, 0.9999987822607065, 0.9999987822607054, 0.9999987822607069, 0.9582284221363221, 0.9582284221358869, 1.1272866206849057e-29]\n",
"(scfres.occupation[idown])[1:7] = [1.0, 0.8435480283492741, 0.8435480285595024, 0.8435480283747769, 8.116312771201504e-6, 8.116312771197798e-6, 1.625177153886183e-32]\n"
]
}
],
"cell_type": "code",
"source": [
"iup = 1\n",
"idown = iup + length(scfres.basis.kpoints) ÷ 2\n",
"@show scfres.occupation[iup][1:7]\n",
"@show scfres.occupation[idown][1:7];"
],
"metadata": {},
"execution_count": 8
},
{
"cell_type": "markdown",
"source": [
"Similarly the eigenvalues differ"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(scfres.eigenvalues[iup])[1:7] = [-0.06936215218179512, 0.35688544251178733, 0.35688544252111876, 0.35688544250860316, 0.4617418745654302, 0.46174187456553895, 1.1596221166200815]\n",
"(scfres.eigenvalues[idown])[1:7] = [-0.031259060742001, 0.4762218972246364, 0.476221897208707, 0.476221897222704, 0.6102868397251126, 0.6102868397251171, 1.2250416363791228]\n"
]
}
],
"cell_type": "code",
"source": [
"@show scfres.eigenvalues[iup][1:7]\n",
"@show scfres.eigenvalues[idown][1:7];"
],
"metadata": {},
"execution_count": 9
},
{
"cell_type": "markdown",
"source": [
"!!! note \"k-points in collinear calculations\"\n",
" For collinear calculations the `kpoints` field of the `PlaneWaveBasis` object contains\n",
" each ``k``-point coordinate twice, once associated with spin-up and once with down-down.\n",
" The list first contains all spin-up ``k``-points and then all spin-down ``k``-points,\n",
" such that `iup` and `idown` index the same ``k``-point, but differing spins."
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"We can observe the spin-polarization by looking at the density of states (DOS)\n",
"around the Fermi level, where the spin-up and spin-down DOS differ."
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=3}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 10
}
],
"cell_type": "code",
"source": [
"using Plots\n",
"plot_dos(scfres)"
],
"metadata": {},
"execution_count": 10
},
{
"cell_type": "markdown",
"source": [
"Similarly the band structure shows clear differences between both spin components."
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Computing bands along kpath:\n",
" Γ -> H -> N -> Γ -> P -> H and P -> N\n",
"\rDiagonalising Hamiltonian kblocks: 3%|▌ | ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks: 20%|███▎ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 24%|███▉ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 29%|████▋ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 33%|█████▎ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 39%|██████▏ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 43%|██████▉ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 46%|███████▍ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 50%|████████ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 51%|████████▎ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 56%|████████▉ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 60%|█████████▋ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 64%|██████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 69%|███████████ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 73%|███████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 76%|████████████▏ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 80%|████████████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 84%|█████████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 89%|██████████████▏ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 93%|██████████████▉ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 96%|███████████████▍| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:04\u001b[K\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=420}",
"image/png": 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iOneOmjUT0fboEVWvLrTl0KFDXK4lMAlwmzNnFZsGHThQcM6/+B5hYfLzyc+PeLyCzAienp2BxwCpqGyZM2cRmyaVFiNHTuXxdgHE4x0YMmQiw17f9wgFnDhBtWrJcAs3aCAxHRMRUUjIfgODptra8zQ0XJycnsXESDGEco+wwtCjB168QMuWCAlh1qFmTWhqCg0kDwrChAlo2PC4kVFdI6M648ZJueggJSdPIiYGY8bIp2XnTvTtC64sX0Unp5qamueALCDS0lLm0Gk5YLBB+OED0tPh4FA6BlUM3N1x546IHTdnZ3z9KnQLsUuXLtHRofPn65mY7AsPD2TToOXLERQkWYzLxenTCAxEv36YNQtAamo6YAggL8/w27c0Nk0qLd6/j8/PdwaQn+/87l2cLCrat0elSti7V6pO588jLQ0dO0qWXLhwQ2LikfT0WVlZfzVrFmJtLYuNEpDCt5Y/fo0ZIREtWED+/mRuzji/pqcnNW4stIXP51euXAdIBfiGhp0fPHgglSXMZ4TZ2VSjhjQHP4TC55O1NT16JFvvlBSqXHmNmVljH5/ub2XKyibXDCk7mypVos+fxUuFhEis11t6lJMZIRE5OdG9eyLaOnQQn7v6xg3icun6dZZMiYwkG5uCe0/cjLCATZuIxyM/v6NHT6qru2tpTTY1dXldHsKCpefChUsGBo15vFU8nsexY0wjX4vMCIkoPJyqV5cqeL1pU9Hp14vi7d0NuAOQmto/CxZItwClnBFWJEaMQHg4KldGWBizDv36iUrAkZeXp66uAegAnNxcG1kW/ZmxciUcHODnJ5+WK1egr49atWTrPXcuunYd/eHDtUuX9luympVNIqmpqeHr18fa2sLQULykcoNQKI0aybJNKMDdHU2aoG9flkxZtgwTJ4LHk6LL0KG4fh1XrrSbPEkLteuYHZ8+fYhNxQwLbtHC59q14K1bq7RoseX+fQnLGyLx8oK1NYKDGYpfv46PH9GjByPh8eMX8HhjDA0buLmdHzt2uIwWikcq71re+GVmhEQ0fDi1aUMDBjCTzs4mLpeiooQ29u49Sl9/oLr6VC0tj9RU6aqiMJwRxsWRkRH9+69UuoUxZAgtWyZb1ydPyNhY3vJ+ss2Q3rx541Kt2jgNDXctrVPHjokXdnAgKaflCqT8zAg3bKBBg0S0XbtGrq7iu3/+TCoqtG6d3HY8f06GhpSWVnCB0YxQQFzcdJ7aAOAY4MLhrFVw3WxF8/49GRgwvamLzwiJ6PZtMjMjZh9d69ZFUmOLgc+nxo1pyxYqPhwzlAfqKxj//ktGRlS5MjF9Ullain6QUHh4+IkTJ319s6St683QEQ4cSEFB0mkWOhjp69OHD7L19vGhtWvlNUE2xzB33LhDHA4B8UCrOnXESMbHk75+OSpZXn4c4f375Ogooi0nh3R1JVbzGDqUdHTk/mxHjqRZswpfkMIREplz1FMBAi4C3iL/ngrD4sXk68tIUogjJKKOHWnFCol9794lC4ufpdDEs3UrubnJ/l9WLo1WMGrUgJsbbG1x+DCzDiUOURTGy8urfft2e/ao79mDY8fYsvE7d+7g/HlMny63ohMn4OYGMzMZuu7ejW/fMFwxyyQi+fgRGzfC319r3TpBdsavgKbYTN5hYfD0lC0S6BenVi18+iQiy6WqKlxdJR5t27ABRPLFaiUlYd8+jBolW+9Hj0BcwzMAAWcAx4q5NFqY8eMRH49Dh2TtP38+Fi5EaqoYET6f/+efmDwZTBISp6Rg5kysXavwO0h5g5Yjxo1DYiLjA4Xjx+PjR2RkiBHR18fevRg+HDExrBgIAEQYPRoLF6JSJbl17dol2z5PaiqCgrB2rXTbOjLC5+POHSxaBE9P1K2LCxfQtu2whw93Oju3MjHpbWY2b/16Mb2VG4Si4PHg6ir2WL2kbNdcLlaswMaNcpyd/ecfdO2KqlVl671lCzqPvPynkZElj/dJV3fthQu4d09WU8oFKipYswYTJiBNtgDYWrXQvDlWrxbamJqa2rChn5FRoxMnPHx8XjHRN2MGOnZEw4YyGSMVMk44ywe/0tKogNq1qUoVxkkptbRozRqJUsuWUcOGTBciJC6NBgdT/fpsrPUlJpKeHuOF4CJMmECDB8ttABGJWSpMS6Pjx2nYMDI1JVtbCgyk0NBiQXFJSUkS9y3q1CleCrhsKT9Lo0Q0bZroivRnz4o+aVgEKyvy9pZp+KwsMjUtmaqS4dJoTg4ZGxc9s9uuHamp0d27MllTjvjtN5o0SYKM8KVR+rHnmphYsmX27IWqqoJTv9dbt+4r0YxHj8jYWGJQtgSUS6MVkoAAVKnC+EChqyt27ZIoNX48LCwwebKcpgFAaipmzGBppWLvXrRtC11dafs9fYqQEPz9t9wGADdu3Bg5fPg///zz89Lr11i1Cq1aoVo1rF4NJyfcuIFXr7BqFVq2hKpq4e56enocscktkpLw5g1cXFgw9ZdEXH6Zxo0RFQUGhS0PHEBEBK5dk3744GC4ucmcqvLkSTg6ws6u6CVfXzRqVNHnhUuXYudOPHggU2d7e/j7Y9myki3x8V9zc60AANafPwvJVFcYwaL3X39JDMoWr4ROnz795fNnRqIVl19vRpiVRQYGZGnJrJLD+vWFK1GIISWFHBwoJESypPgZ4ZQp9NtvTAZkQJMmsh1CZCVGhoguXLhgxeWuAdpyOIPr1qWgIHJwIGtrGjaM9u+n1FT5hzh6lNq0kV8Nm5SrGWF8PBkYiP6q16tH164x0dO0KVlbSzk2n0+OjnTlSskWhjPCDh0oOFhYQ/v2v8C8cN068vQU9xQSOSMkog8fyNCQ4uKKXX78+LG6uou6+jwDA49DhyTEWm/fzsLK06jevUdVqhQXGipRUukIyx0zZ5KBAUVGMhDNziYOh+Et9+ABGRlJTvQlxhG+fEmGhvTpE5PRJBETQyYmMlSWCwmhevUYpx0Qi3+LFnsAAnKBehwOLVpEjx+zoLcQEybQggXsqpSXcuUIicjaWnS8fmAgLV7MREliIqmoSPl6dPQouQnPycfEEcbFUZUqol+WKr4vzM+nxo3FVdAU5wiJaOxYCgwsdi0igszN4w4cOPpSUhLI5GQyM6MbN5jbK5z6JiYE5DF44S6zpdGvX79+FV0XmYg+f/6cJCzR+y9PQAAyM7FxIwNRNTVYWGDNGiZq69TBn3+iRw/x4TXiGDcOU6bA1FTG7kXYsQO9ekFFRapOqamYOpW1GBkLLS1BVOITIE1LC1OmwNmZBb2FUEbKiOfLly9Eo1u3brdtm7AVfk9PUWUoiqGvj6FDMXmyqCpJwli2DJMmMZYuzs6d6NIFOjoimk+cqOhrpFwu1q/H1Kn48kWm/jNmYNeuYkF6U6diwQKTbt062RVZUBbC7Nlo2xbu7jINXQiehsZHgFMoSbpI5PW50pOdnd2jRw8DAwNDQ8Pu3btnl4jiuHr1qqGhoampqb6+vqOjY5SIY+P0i84IiahbN9LSEppVuwRDh5K5OXPNAwbQkCHiBETNCENDyc6OsrKYDyUWBwe6dUvaThMmSDCeKbm5NGdOrqlpQxMTSy7XRkPjvAJqqqamkq4ue58YS5SrGaG3d1cO5xDwUU+v/dWrV4s3x8aSnh7D1bH8fKpUSWL13B/cukXW1qIWJJjMCGvXpogISaNU/HlhQIDIj1TCjJCIpk+noUMLfjtyhGrXZvTPfPyYjI0pIUEqS4VzfeLExpqaTy5flihZBo5w3bp1rq6umZmZWVlZDRo0WFtiRSMxMTEhIYGI8vPzg4KC3ESsYNCv6wjv3iUNDUZbevTkiahKFEJJSyMnJ3ErHkIdYW4uOTvTyZMMB5HEzZtkby9tJ0EeGRZuj9evqXFj6tRJUMBecY7hzBlq3lxBumWnXDlCMzM3QeUQDid42TJhaVns7JivVwvSfzLKNNS9O61cKapRoiMUfH8Z7eJXcF+YnEzm5sI3aiU7wq9fCzZj8vLI2ZlpSECzZmwkDCKixEQyMcm/d6+cRo2GhIQMGzZMQ0NDXV19+PDhISVCJPX19Y2MjABwuVwPDw8xK6i/KvXqwdoaS5cyEHVygqYm8xR/2to4fBhBQaIylQrnn39QrRratZOiizhCQjBggLSdxozBnDkwMpJv6B070LAhevbEkSOKLmCvXBeVSIMGddTVlwPX9PS2tGwprHKx6CK9JRk6FBYW6NZNklxMDC5fxpAh0tlaiG3b8NtvzIrhVfA10kqVsGgRRoyQZs25gCpVMG6coFTptm3fK4dLZNcupKTg99+lH64k06ejVy/UqcNImA3PKx3VqlW7/GOuGh4eXrVq1ZIy2dnZGzZsmDNnTr169Q4fPixK1c6dO/39/V/94N27dwqyufTZv59UVOj9ewaiHh7UpIlUyvfsoRo1KDlZSFPJGWF8PBkZMa6VKJHcXKpalV69kqoTCzEyycnUrx85OtL9+4UvK26G1KQJXbqkIN2yU65mhOnp6XPnLjYxGb1wYZhwic2bqa/kA2cFREURlytp0TIggMQmHhQ/I8zMJAMDku5JU8HnhS1aUMksqpJnhESUlkamptk371lYMIr/TUkROQGVmrt3ydSUvn5leI5QumgFVkhJSdHU1BT8rK2tLbSsMxG9fv06KSkpPT09PT1djLZr1661aNFC8LOFhcXp06dZN7hMaN0ampraf/6Zt2yZhErcqt27q0+bliZNKoj27XH+vPqgQZzt27OKNWVlZfF4PNVCB+amTFHv3RtmZtkyJpsoisq5c6o2NpnGxsxzV6SlcYKCtHbsyMrMzJdtUO6dOxqDB/Pd3bOuXIGWVuGh09PTxZ8FlI3MTDx4oO3snM7Kh8YiCvp7ZWbixJG5uWoJCRD6Bea6umrOm8f8Q3RwgIeHZp8+3KdPhT80ON++ae3cmXHjBonWKXh05ucL/7IdOKBSr56qnl6mFP/ZPXs0undXcXfPuHyZX7cu427lhWXLuC1barZpk2FqSgUXMzIy+Hy+xO+S6tixbwfOql//SO3aWRI/sRkz1H18ULu23I8aIs2AgLxZs3JVVPhpaerq6ky6lDa2trZnz54V/HzhwgVrsSeArl27pqmpmS5iD+xX3SMUEBhIlSoxkJPmEEUBWVnk6iok4rzYjFDwXiUp+7E09O4t7Q6AXDEyfD6tXElGRrR3r9B2Bc2QLl4kDw9FKJaXcjUjFHD5sqjamkREVLUqSVNpUnCUQmTCpb/+EpOqXoD4GaGvL+3Zw9ycQlTkeeH06VTsQctoRkj0NS7rPdcyZrfkWR4rxWS+s2NHwSHE8ptZpk6dOrdv3xb8fPv27Tpi13CtrKwEYTWlYlr5om3b8JSU5jyenb29R56YRXppDlEUoK6O/fvxxx+IihIpQ4Rx4/DXX6hcWSrdoklPx9mz6N6deY8nT+TIIxMfDz8/HD2Ku3fRs6dMKmQkPBzewva8lJSkUSM8fgyR6z5NmkhMOloYfX0MHy7iKEV2NtauxdixstkJ4ONHREWhUyeZOv/YL0wOD9+0adNDJjH95YaZM3HjBi5elLrjgmXqVzxnWm+ZJVEyIACzZ8PYWBbzipCaiunTpU5/xYb/lY5z584ZGRldvnz5ypUrJiYmZ86cEVz39PS8ceMGEe3bt+/AgQMPHz68dOmSr69vq1atRKn6tWeElSo5ADcBAgJGjAgQJyrlIYoCjh8nKytB+OR3Cs8Id+0iV1dWSwgFB5O/v1Q9ZM8jc+wYmZjQnDnitxYVNEPy8aEfqx7li3I4IyQiT0+6cEFE2/LlNHKkVNoERymErCJs3kx+fhK7i5kR/vWXtLYU53WzZnWBQRxOTS43aOxYuXSVLqdPk739z+NATGaEHz6QgQG9f5NHDg508aIYyT17qHZtGRJsCGPSpMKZiMt1PcLt27d7enp6enoGF0pS1K9fvwcPHhBRaGho165d69ev7+PjM2fOnG+iF+Z+bUeoomIJ5AIEHPDyai9O9MED4nAoU7oavALGj6f27X/GgqZxz2UAACAASURBVBc4wvR0srKi8HAZVIqmZUs6eJC5eEgIubpKHyOTmUmBgWRlxeCol0IcQ3Y2VaokWzpxhVM+HeGMGTR7toi227epdm1pFe7aRVxu0UqXfD45O4v2tz8R4whlOv5ahK5+flsAApIBa1VVuXSVOp060fz5339m4ggHD6bp04mIaNcuatBA1ImT1FQyN6cwEfFS0vH8ORkZFU5/Va4dIVv82o7Qy6sTh+MPbOVw7E+dOiVBWktLtqlTbi55ePxMZVXgCGfMoH79ZNAnmo8fSV+fYQFrkjmE7OlTqluXunalpCRmo7DvGCIiqEED1rWyQ/l0hOJKTeTmUqVKQqsZiMfWtug27cmTVKcOk9N/ohxheDg5O0trRXH6dOmyHCDgE+DO4dChQ/JqLEXeviVDw+8R3xIdYXQ0GRn9uAvz86luXTp+XKjk5MnsZTD28yt2QlTpCH8FFi1apKc31cWFwQa79IcoCnj/nkxNv0/+BI7w9WvS15cqRoEBS5bQ778zF5clRmb7djI0FHNWuiSKcAzz59PEiaxrZYfy6QhTU0lHR/SKRsuWdOKEtDqLH6Xw8WGWokKkIxw0iJYuldaK4sTHx1tpajbici243H0NGhCPR+bm9GN7qPyzYMH3PPISHWHHjrRsWaHfjx4VmlqmxBRODo4cISenYrXSlI7wF2HVKtLWZiC3bh3DShRCuXCBzMwoNva7I+zcWQHZol1chCb7FwrDNEt8Pn9M3771jI0b29jc8fWlWrXo0SOpjFKEY2jdmo5JyK1fZpRPR0hEDRuKXsmeO5eCgmTQ2bz5j63z+/fJ3JxhTU6hjjAtjfT0KDZWBiuE8OTJk0yB24+Pp86dicslc3Mmy7ZlTnY2OTnR0aMSHOGNG2RtXSK/YKNGJSNu27QRckhRFrKyyN6ezp0rdlnpCH8RMjOZHY6Q6RBFYWbOJG/v7KVLl0+evN/WVrYNR9E8eUKWlswDbxjGyJw4cWK0ri4Bb4Cm+voyZPZk3THk5lLlykXij8oV5dYRTpr0c/+pOLIeRklMJC73srZ23dWVDL5Mncqwl1BHuG0bdewogwnMiIsjPz/icsnWlqW9MgUSHk6WlpkHD556LDr7nYcHbd9e4mpoaGb16g/u3k3+kctj3z6qVYulGJk//qDu3UteVjrCXwcLC2YF2S0s5ElKnZmZzePZAr8BvQwNRUbqykhQ0I99c8kwj5HZvHHjWh6PgHzAzcxMBrtYdwy3blHduuyqZJNy6wiPHaPWrUW0paeTtjbzhLoFhIeHG0BtJLS6glNNhcmZXCIRjrBpUzpyRNrxpeTlS/L2Ji6XHB3p3j0FDyY7qampurqN1NUnGhq2mzlzUUkBwSJoyfv33bt3rurqg3R1XU1MrkZECMLxGC8SieXdOzI0pJiYki3l9xyhEmnx88O5cwzkfH1x/rzMoxw5cojIFdgG7ElKio2NjZVZVXGIsG8fevdmIiuotbRmDaNaS+3MzTcRLVVR6aWn59+vn7x2skFYmDLFqCx4eeH6dRE5LbW0UKsWfhw+Zs4///zTB5z/IeMAiJeXnsOg3r1QYmIQHY22bWXrzRg7O1y5guhoVK4MV1e4uODpUwUPKQvnzp3Ly2ubnb30y5fjW7bsK9aan48ZM/D330Lu341Ll87Kydmamro/Pn7xlCnz5qFpU5aO206YgMBAWFvLrEDpCCsA48fj0ycGKckCA/HhA2RNPmBoaAgInF8ukKqrqyubHiFcuQJ9fdSqxUR2zhy0bo3GjRmIPnpUdfDg0JAQ0+DgcSdPzli4UE4zWSEiQukIZUFPDzY2onNTe3pKdaxegLe3dzxyAKQBOeCqqanJZtu2bejbF7L2lpIaNXD9Om7eBIBatdC48bzhw63U1Gw0NNasWFEqFkhAV1dXXT0eAJCqolLcg2zfDn194Qn6eSoquQCAXCA3JXvLFrBzy168iLt3MXmyXErYmJeWGf+RpVEi0tFhFrGmqSlPCRMXF18u15bLtejRY5jMSoQwZEjRADKRSFGK7MULMjOTNdvVT9hdKszPJwMDiotjUSXLlNulUSIKCKAlS0S0HTnyPVqROXw+jRs3TFPLhsMz5apqqqwXufRalGJLo/n5ZGVVLFV7aXHlyidLywbAVyAWMOdyM1neupeF/Pz8Tp0GGRq6m5jUOX68SLxrZiZZWlLJypIC4uLiGtjYdDcxcalc+bKa/qGRoSxYk5tLtWuLCU5T7hH+Uvj4UP36DOSaNJEzx+Xnz5/T0tLk0VCczEzS1y96tlkkPj70v/8xkHv/nmxsaONGOU0jth3D/ftUsyaL+tinPDvCAwdEB6R8/kyVK0uRW4HPpzFjyM2NEhMFz8FHj0hNjdq2ldy1mCMMDSVXV6bDss7evXt7czgEEODJ5QpSjpQHvnz5kl8i9m3xYurSRVyv3Nzc169f79mT1c8mkm9ajVatkteO5ctJdOoxYuwIy6D6hBIZGDyYWQG1vn3lXCLQ0dHhMdmdY86JE3Bzg5mZGJGsrKyIiIi7d02Tk2sNGyZJ4efPaNUKo0ezVLWMTZQpRuXB2xvDh4PPF5Yk0tAQpqZ49AguLpIV5edj2DA8f45Ll6CrKyikUqsWIiPh4YEePbB/vxRWbduGQYOkkGcXPz+/iTze5ry8TCCdSHxm5tJEQ0OjWOmJb9+wdCkuXxbZJScnp3//wMjIqKQk692713FcItGhA548wZo1KFTuRgoSEvD338wrVopBuUdYMejTB/n5DJLeDh2KzMzyVQU0JARiw1jS0tJq1/bp3j10+vTpTk7zJXjh5GS0bo2+fTFxIrtmsoKyGK88GBnB2BiPH4toZlikNz8fgwfj1SucOYOi+9wNGiAiAkePolcvpiYlJ+P0aSnkWadSpUqXnz497et7q3Xry2pq4m+lsmXhQnTqBCcnkQKrV288ftz806eo7OwBu3fPhI0NbtxAXBzatoVs1denTsWgQXBwkNnmApSOsGLA5cLODuvXS5JTU4O5OdauLQ2bmJCUhIgIdO4sRiQ0NDQ21i85eTGff/TChcPitGVkoH17NG2KmTNZtpMNiBARAS+vsrajItO0KcLCRLQxiZfJy8PAgUhIwJkz0NEp2e7ujvBwHDqEPn0Y2bN3L1q1gqEhI2EFYW9vf/jcuZ1nz1Y+dw579qB8hMwU49MnbN6MWWKLTNy+/SYryxMAkefz5zEAoKODw4dRvz4aNkR0tHRD3rmDc+cwY4bMNhdG6QgrDJ064coVBnLyHaJgmb170bat0EdSAZUqVVJVFUSrpqqoiK7zmZODLl1gb18+HwQAnj2DtjYsLMrajopM06aiZ32enggPF9c5Jwc9euDbNxw5gh+lv0vSqBHCwnDgAPr3l2xP2a6LFsfbG3//jUmTxK0/lhGzZ2PYMJFf/owMLFqE0NAumprTgZAqVYb8/vuPsmg8HhYuxLRp8PHBhQtMx+PzMXo0Fi9GpUosWA9l1GjFIS6OOBwGEYlyVKKgEoV55aVJEzp9WrwIn89v3HioqqqQILSf5ORQ+/bUty+rRaGIWA0eWb+evdzBCqM8B8sQ0fv3ZGwsOjO2ufn3lM8lycqijh2pe3di9u09f554PBo+XEhTQbDMs2dkZiZ98RNF06ULqavTu3dla0XhFGvPnpGRkfC86Hw+7d9PVlbUvj3FxNDDhw8XLVpxRegp+qtXqRrj8JnNm6lJEyYp1JXBMr8aJibQ08M//+Cvv8TK1akDDQ0EB2PEiFKyTBRv3uDVK7RqJV6Kw+FYWGzq2zd71Ci1Ytvv3+HzMWAAuFwEB0tXbLN0CQ9Hy5ZlbUQFx9wc2tr491/UrCms2cMDERGwtS1+PSMD/v4wMMDOnVBh9Exr1QqnT6NtW3C5+N//hMts2YL+/RkldihVDh2CszPq18eHD6V1tlECU6diyhTo6xe/fucOxo5FVhZCQuDpKbhWu3bt2sK1CCowMwmfSUnB7Nk4dgxCHxcyUX4fK0pK4uWFw2I30b5Trx5CQhRujUR27ECvXhIfTKmpOHcOvXqpC/eCRBg5EgkJ2LeP4TOurIiIUIaMskDTpqJXQIVuE6ano0MHGBsz94ICfH1x8iQ2bkRAgJDWvDyEhGDgQOb6SpHbt5GXh2bNytoOALh1C1FRGD26yMXYWAwfDn9/DBiAW7cKvKAkBOEz8fESwmdmzUKnTnBzk8fsYigdYUVi1Cg8fw4+X5Jc377lInB0924mQW6HD8PbGwYGIpqnTMHDhzh2DBoa7FrHLq9fg88XMldRIi3itgm9vIo7wuRktGoFOzvs2CHDe1KbNti/H//7HwIDizedPQtraxET0zJHSws3byIqCqNGlbUpmDoVf/75c082JwerVqF2bWho4MkTDBsm5SKOjg6OHIGHh8jwmadPsXcv5s2T3/LCKB1hRcLXF1wuDh2SIBbu4DAgI6OOjs6KpUtLxS5h3LwJPp/JW9uuXejbV0TbnDk4fx6nTokPtykPhIUpp4Ps0LSp6KCw2rURF4eEhO+/fvuG1q3h4oING2ReM+/SBXv3Yu1aTJ9e5HpwcHkKkymJvT2OHMGGDdi6tQytOHECsbE/X3dPnICjIy5cwK1bWLVK1kAWDgdz5+KPP9CsGU6dKt46Zgz++IP9QF5GO5Pllf9UsIyAunXFJ1IgIrJUVQ0DngMOXO5dKQszsRYsExBAf/4pUSo+nvT0RNQVWLWK7O1ZKwEnAraCRwYNovXrWdGkWMp5sIyAatXo9WsRbX5+dPgwEVFiIrm50aRJrIy4dy9xuTRzJhFRXl7ehw+ZVarQ16+s6FYk8+YRj0e3bpX+yGlpaXl5/IKy80+fUuvW5OhIZ8+yN4YgfGbhwp9X9u2jevWkil9SBsv8mvTsKSFTbVpamnZ+vuBUdzuiM2fO1KtXr1RMK0ReHg4cwNWrEgV370bHjtDSKtEQHIzlyxEWhqpVFWEg64SFyZv1V0kBgm1CGxshTdcsLS/9/XeDrKzWf/+Ntm1ZStuMnj3B56NfP3C5GDYsbsWKnPbtbapUYUW3Ipk1C5GR8PbGu3elfNrxw4cPYWHWurrqTZpg7Fjs3Yvp0zFmDKuxRU2a4MYNdOpEr1/v9/B4fPOm7+HDXvv2KSR+SQY/XX74D84Ik5OJw6Hnz8XJWGto7AEiABsuNzo6Wir97MwIT54kT08mgm5udP58iasHD1K1avTsmbxmMICVGdKHD2RkxCSWu+ypEDPC//1PeAHOs6dOtdDVPQJ043K3dujA+ribNhGH0wAwB+oBZZdgVFpsbMjMjPWTRaLIzs5WV7cCHADn6tVnGRpSYKAiZ8/JyYvs7X9XUTkN+KiphV2+LFVvZT3CX5NKlWBiglWrxMmcuXdvU506G7ncNf7+Nctku19SWjUBL1/i40c0b1706okTGDMG58+zkjmpdBBsELIXy/1fx9tbeODo8e3bF6Sm+gOr+fwj8fGsj9urVxrRJ+AVcBcwat++PetDKIS7d5GcDF/f0hlt+PDh2dmtgGfAtZcvt129ilWroMDZc6VKp7jclXl5fsCMnJzTe/cqYhClI6x4tGolZAu5MDVr1rz44MGOLl3aPnxYWkYVIjUVZ8+iWzeJgjt3omfPouscly5h6FCcOAFnZ8UZyDrh4crMamzi6IjkZHz8WPx69bp1QzU0AJxVUakh6jiaHCQkJAAagOBwnkm8AnytQqhSBVevIiwM48eXwmhJSUmAKQBAG0CNGgof0bFOnaM8Xh5wQlvbqUEDhYwh43S1fPAfXBolort3maWOiYoiLlfaFDMsLI1u20adOzMRrFGDbt8mIlq1YIGbpWVLe/uH+vokNOuEwmBlqdDRsYzq1UlPhVgaJaIuXYTUmszOzg7o37++hcVvHTsmJycrYlwOxwxoDvQHrLdv/6yIIRTF7t3E5dLOnYoeJyYmhsOpCgwG3K2sGih6OCJKSkoa7O/vbmMze/z4krWfxKOsR/grw7T+rra26FKnwmHBEbZsSQcPSpS6cYOqVyciunXrVid9/RzgX8DTzEyuoaVHfseQkEBVqpS/RFwiqCiOcMUKGjmyDMY9cIAMDdu7uroOHZrK41FERBnYIDuTJpGKCj15ouhxEhMTR40a5eS0aft2RQ8lL8o9wl8ZV1fs2MFAztOTmRx7fPqEu3fRtq1EwV27vmc9jnnxwiMlRRWoAWTm5SncQrYJC4OXV/lLxFXBEZdfRpFs24Zly45FRkZu2qTTrRuaNxddFqocsmQJGjVCo0bxL1/evn1bcePo6+svXrx44cIh4oMVKhBKR1ghGTiQWeqYiRPx9CmDVDTssXs3unYVk/tfgOB4Ra9eQESE97x5e3i8HRzOdG3tuk2alI6ZLKKsQagI6tbFp08/j86XDnFxuHEDnTuT4Ne9e9GoERo2xNu3pWqGXISFbSRqaW8/vlGj6rq6aWlpihuqXTukpeHaNcWNUHooHWGFZNAg5OQw+Aq2agUVldLJPZGTk3Pu3LlbGzcyiRe9cAG1zZJqLBuO3r1Npk8/9uLFl/nza61bt0Gq2uHlA6UjVAQ8Hpo0YXISlU2Cg9GtW5FTreHhqFkTLi749q1ULZEdLnd+ZuYNIJLP75qWNo/tVGSF4XAwciT++UdxI5QeSkdYIVFRgaWlyKz5RWjQAJs3K9qerKysFi4uF7p1W/Hq1YRt2yRIE739c8fRF87Q0EB0NAYMsLCwmDBtWp/+/VXKd1rtknz9ipgYlH7Ggv8CXl6lvTq6fbuQtGpRUTAwgKMjsrJK1RiZIUBwF2lwOLk5OQoda8gQnD+PDx8UOggA5Obmfvr0iYgUpF/pCCsq7dvj4kUGciNH4u5dRRtz7dq1hrGxS9LS9vD5kadP5+bmihR9+JDfxNP95uqsAyewahV0dRVtm0KJjETjxuIqxiiRGVGnCRXE1avg8+HuXvw6l4uHD5GfD2fnUt1kkJlmHTq4AF2Ay0Szhw1T6Fi6uujTBxs2KHQQRN2+3dDKaoSrq6ejY1JSkiKGUDrCisqECYiPZ7Bi06cPiHD0qEKNqVKlygceD0AGkMPhCJ/YZWRg7ly0anW/Ro/pLW/p+7JZRaWsUK6LKo769fHyZemtSW7bhiFDhGdF0NLCs2f48gWurqVkjDwkvHs3FegGnORwNDp0gJi3UjYIDMTGjYqdLs8LCDgQG3s8Pn7Ey5cbli9XxBBKR1hRsbGBri6z1dE6dbB6tUKNcXV1tXZxcVNTa2xiMmflSiGVBU+cgJMTnj7Fo0dzksb26feLfPHCwpSOUFGoqqJhw1KKxUhPx+HD38OYhaKvj8eP8fw52rQpDXtkJDsbZ88mPns2EOgD3ORyebGxmDZNoWPa28PVFYrJ9/KdnJwcwb6tVn5+zunTeP6c9SF+kefRf5PGjcEouGTwYNy4oWhjFuXkXN+160FcXOdevYo0fPyI7t0xcSI2b8b+/UkqxpGR8PdXtDmlQVoaoqPZrQ+qpAiltk148CA8PGBqKk7GwgJRUbh8WZy/LBu+fsWBAxgwAKammDnTydx8kZraeWCmujrVrImdO3HwoELHDwhQ7Jv25KlTO3G5I/X0FlSrNqRNG7RogVatcOIE2NsyVDrCCsywYXjyhIHc8OHIzkZYmAJNiY7Gq1eqnToVuZiXh1WrUK8enJ3x6BFatgSwbx/8/Mp/eUHJ5OfnHzoU4+qaWb4LBldsSm2bcNs2RtUHnZxw9iz27CmdXGaSePsWGzeiQwfY2GDHDnh64ulTREWtv39fe8GCS7/9tlFLSz0gAHw+Ro0SXuSWJfz8kJFRvGQyi7Q4d+7syJGDz52LfPnSfMECvHqFYcOwYAEcHLBqFVg5IqLwk/2K5D+bWaYAFRU6dYqBnKMjMcvWL2NmmdGjae7cIlciIqhWLWrevFgRCQ8POnlSavWKQ7ZMKwkJCXZ27tra3XV0XCIjr7FuleKoKJllBGRlka4upaUpdpTXr8nIiLKyvv+al5eXkZEhRv7QIeJyaf58xVpVQPiVK+0aNOjs6Xnv3j0iosePaeFC8vAgQ0Pq35/276fUVOE99++nmjVpwABq04Zq1WL3c0xLS+MXqreyahX16MGi+kLcuUOmpvTtm5CmqCjq35/09SkwUFQFS2WKtf8ETk7MHNyff1KlSkwUyuIIU1PJwOD55csThwyZP33615gYCgwkMzMqkX/pzRsyNKTsbOnUKxTZHMOMGQu43J0AAW/q1/dj3SrFUbEcIRF5eVFoqGKHmDWLxo37+atER0hEmzYRl1sapZi/fv1a39j4DfAEqKetnWdhQQ4ONGUKXb3KqO5Sly40fjwZGlK3btS7N4uGFXOEKSlkYEDv37M4AhER8fnk5UVbt4qT+fSJ5swhIyNq355CQ4uVQ1OmWPtP0KULsxWJCROQmor79xVixO7d2Y0a9e7d23fLlqoLF/YWpKN/+hQDBhQT3LULPXpATU0hVpQmnz/n8/mCyFgev0LE1FdYmjZFRIQC9fP52L4dv/0mXa+hQ7FgAUaNwokTCrGqgJiYGFciK8AJMOdwEnbvxrNnWLQITZqAy+DpvXYtdu9Gnz7Izsbz51i7VkF26uqib1+sX8+23l27kJ6OgQPFyZiaYu5cvH+P7t0xYQIcHbFqFTIypBtIToctGx8/fpw6dervv/9+UFh25szMzIMHD44fP37kyJHBwcG5ubmi9ChnhImJxOHQu3cMRK2tqW9fiVKyzAhdXW8tWDCzcmUCCGisr58tYtJXqxZdvSqdbsWRnp5ey9jYmsu1VFU9cuQI847bt5O+fqy+vpuR0UBjY9dLl0q1XIacVLgZ4blz1KyZAvWfP0/16xe5wmRGKGD0aOLxaPz4jV269Dpz5owizMvIyKivo3Mc2MvjNapenS9D9efgYKpTh6pXp507qWpVioxkxbBiM0IievGCjI2lrXYjlvR0srSUOvF5RAR1704GBhQYeGnXrvrm5k8uXJDYqQwcYXp6upWV1ahRo4KDg62srDZs2FBM4NSpU15eXkuWLNmwYYOzs3Nf0Y9vpSMkIkNDmjSJgdykSWRoKFFKakd4/TrZ2b15/dpDXz8WuAU0trMTKnjvHllZlaMy7sMGD54GEPAvYKepyaRLfDx16EANGtCzZ5Sdnf3w4UMFFQNSHBXOEaamko4Oq4/XovTuTWvWFLnC3BESkbl5ENAR2Mrh1NixQwElkLZti7GzmzpkyOzx4+Pi4mRU0rEj9e1LTk509ChZWlJCgvx2lXSERNS2rYRVTOmYPp369ZOx74sXFBjoxuV+AfKOH5coXgaOcOvWrQ0afK9idfz4cTs7u2IfaOEp4P3793k8nqjvpdIRElH37mRvz0Du82ficERtKRcgtSMcMICWLSOiky1a+Fat2rtVq+fPnwsVnDSJZsyQQrGi6ezrK9jlywIsVVQkyh86RFWrUlBQ+drjlJYK5wiJqGFDCg9XiOZv36hKFfpctOygVI5QXd0GSAYICHVyYnvqevUqVa1KIm4oKfjwgYyNqUkTWruWpk+n5s3lLxsm1BGeOUMuLnIq/sGrV2RoSB8/yqPD1diYgNxz5yRKlsEe4dWrV318fAQ/+/j4vHr1qlgl6MJ5SZKSkrS1tdXV1UvVxArFmDF49QqS6xcZGsLEBIsXszl2YiJOnMDAgXj3rt2DB+eePt19/ry9vX1JQT4fe/eid282B5eTST4+04D5QGegl5OTGMmUFAwfjsmTceAAFi78FfY4KxaKK8m0ezdat4ahoewaKleuDAgO6V6ztbVgyS4AwLt36NYNW7dC2A0lHWZmmDsXaWn44w+MGwdVVfzxBxsmFqd1a2RlsbSnO3EiJk5EtWry6Gjh799fT++z0HRBRSmDHMdxcXEODg6Cn3V0dDQ1NWNjY6tWrVpSMjMzc9y4cTNmzOCK3ha+fft2165dBT8bGxsvW7ZMETaXZ9zcoKKiFRyc06ePBGeo5ufHO3YsU+xHlJWVxePxVJllz1TduJHTtm2OpqZaUBANGZKrri5qjzo8nGdgoGpjkyXtHraC4F282HjFipMhIf8LDx9Qs2bPxYuzjxzJb926pOTNm9zff1dv2DD/+vUcHR2p9+DLG5mZmbyKVjvR3Z23fr3K+PHZrGveskVj9uzcjIz8whcL4gyZaDh69H++vgMzM7OBRlFR2799y2DnPSkzU6Nz57xx4/K8vdn5zg0YoH7gAEdbm//HH7lbtmh4euY4O+d36CCzvoyMDAAlc0j9/rvKypW8+vXl+mfxwsLUHjzI3LJFzr997ooVV7t1Q61aEiU5DP/fLNK1a1dXV9cZM2YAICI1NbWHDx86OjoWE8vJyfH399fX19+xY4coRxgSErJly5aRI0cKftXR0WlTrjMgKQp3d66ODl28KOlf+fYt186OHxsLIyNRIlI4QiKukxM/OBhmZtx69fhPn4pR+/vvHEdHTJhQ2l82oXAuXuT068c/dgwNG6ampurq6uLqVW7XrvyLF+HsXCCWm4sFCzibNnHWraMOHcqF5fLz/e+tUCQnw9qam5DAZze5+ZMnaNuW+/o1v9iLgcARakqqqVmMtDTY2nJNTPDokdxRxEScvn2hpkbBwfKqKkxMDLdRIwD8ixeRns7t3JkfGQlbW9mUpaena2lplXSEaWmwseHevs23tpbVzrw8rpsb/fknyeGnCxCs30p+oMmzAisbAQEBI0aMEPz88eNHDofzrcRhyZycnE6dOnXt2lVMyCgp9wh/sGIFaWszE9XXp6AgMe1S7BGeO0d16xIRBQTQlCliBLOySF9fAWeMZCMigoyNKSxM8NvPPbPt28nWtmC/6MkTcnUlPz+KjS0TKxVFRdwjJKK6denmTZZ1TpggfNP69evXly5dkkHhp0+kpUXNm8trGM2bR40b/zzhzyJLl1L16tSyJRHR6tVUty4x3g0txqNHj0R9l8aOpWnTZDaRaNUqatFCjv5FKL8H6i9dTp/6pgAAIABJREFUumRmZib4EJcsWdLix9987dq1p0+fElFeXl6vXr38/PyyJH0VlI5QQGYmcTj04AED0Z49ydZWrCrGjtDfnzZupLg40tenT5/ECB46RD4+jFQqnGvXyNiYCj3mitzMkyZR06b8rOwNG8jEhEqEM/8KVFBHGBhIS5awqTA3l0xN6cWL4tddzMysAGdm8VMliY4mNTXq1k0Oy44eJTMz+vBBDhWiyc+nJk2oWrXv6Z0GDKChQ6XVkZ2d7aiv78rlWnC50wtnIvjBixdkaEjp6TJZmJhIJib06JFMnYVQfh0hn8/v2bNnjRo1OnbsaGxsfPPHm16bNm1mzZpFRPv37wdQq1at+j94J+KgnNIRFmBuTkOGMJB78IA4HJE5mZg7wo8fydCQ0tJo4kQSdjMUpksX2ryZgW2K5s4dMjGh06cLXyviGPLzM1p1PGU6pHFjIY/IX4MK6ggPHGCYIpApR45Q06bFL6amppoDuQAB7YAxY8bIoPnKFcHhQpnMevSIjI3p9m2ZOjPj8WOqXJmsrSkri9LSyNmZtmyRSsG8efNGcjgEpAEWPJ5QmXbtZL3lR4ygsWNl6imc8usIiYjP59+5c+f06dNJSUkFF9+/f//582ciSk1NfVUUUX+J0hEWMGQImZszE9XVpQULRDUydYSzZ1NAAH35QgYG4t9ek5OpShX6+pWZbYrj3j2qWpVOnCh2ubBj2L+fbI1S4oxr5/+ztnSNKz0qqCNMSCB9fUY5xRjSsSNt21b8YmxsrC0gyAvRH5D52SJIRrpwoZTdvnwhOzvatUu2QaVg3jwyNhaceqJ//yVj4/xbt2JjY/OZfb5BQUHTAQJyARsuV6jM2bNUq5b0h4bv36eqVamQU5AfuRzh58+fDx48OHv27FGjRgUGBv7111+hoaHpMs51FYjSERbw5AlxOMyWI9q1IycnUY2MHGFuLpmZ0aNHNG0ajRwpXnbzZurShYFVCuXBA6palY4dK3Y5Pj5+yZIlN27c+PaN+vUjJye6c4coJoZMTYtNHH8ZKqgjJKKaNen+fXZUxcWRnh4J/SSqq6p6AL2AFkAqo4xNwlmxgrhc2r2bcYfcXGrenKZOlXlEKcjNJWdn0tUVbIC/3bTJTUWlnZGRm5XVa0nnjIkoMTHRQl29H4fTiMNZxuUKTRbF55OjI12RNueStzdt3ChlHwlER0cnJiZKFCvuCM+fP9+xY8eCAOvCZ/i0tbWHDh36iL3VW/lROsLCaGvTihUM5MLCiMslEVFIjBzhwYPk7U3fvpGREcXEiJf18aFDhxhYpTiePSMzM9qzp9jlR48eqahU43CGcTgu2trBw4YVeo2IjKSqVenff0vZ0lKg4jrC4cNp9Wp2VC1ZQoMHi2gzNFxWp87vv/+eb20t5n2RCTNmEJdLDA5zExHR6NHUurX859yZcv8+aWvTgAFEFNi//zmAgMvAiO7dmfTOzMxcs2ZNZEQEtWpFamokLLZozRrq2lUak/bupXr12P0EZs5cZGjY+sKFtxIlfzrCmJiYVq1a8Xg8X1/f9evXP3jwoCBWJSUlJTIyctGiRfXq1ePxeEOHDk1TdGUUZigdYWGaNaMfGXskoaFB69YJbWHkCFu0oL17ac4ciduSHz+Snp7MgWls8Pw5mZtTSEjJlrZtuwFbAALSVFRqFG8ODiYHB3ZXacoDFdcRhoTIF4RSiNq1RSSwXLGCVFTykpIyMjIoLo7U1WWIJSlMv36kqsogim3bNqpZU3ilIcUxfjxpalJU1LAuXa4BBEQBv7Vrx7D398wyeXnk7U3q6nTgQDGB1FQyMKC3kn0QERFlZJC1dUEsN1uYmNQD8iMixB09EPDTEe7du3fEiBGiwlIKiIqKat++/b/l42W5lB3hzi1b2tavP7JXrwQ2kvWxzo4dpK7OTNTbm9zchLZIdoSC3LoJCWRoKDH505IlzEJ4FMSbN2RtLWqxpXnzgcBCgICP6uo2QiQmTKBWrURNnSsoFdcRvn9PRkYs5Kq9cYPs7YXpyc2lSpVo2LCfKdaOHCEul44elWe4Zs1IQ4PevBEtcfUqmZiwkEdNWrKyyNSUHB0f3L/vUrVqQKVK9Xi8uzduMOz9M8VadjY1bkyamiXDY8aPF39WqxCzZ1OvXsxtZ4iJST0gbcUKybNMZT1Cply7dq2dnt4n4DCH09Xbu3QGlYr8fOLxhK5SlGD/fhIRHS7ZEY4fT9On0/z51L+/xHFcXBjZ8/bt22ULFoRs3y7+2Kh0vHtHtrZCJ74ZGRQURFWrJmpo2HC5Llyu2bp1wpxlfj516EAyhQ6WWyquIyQiW1uKjpZXyfDhImLFZswgNTVKTS2Sa3T0aFJTk/Mwg4sLValCwtOzv31LpqbMimsrgKtXSVWVgoOTk5OvXbv2zdeXVq5k2LVIrtH0dKpfn3R1i51xiYn5HlougXfvyNBQ7MuCLKSnk53dYW3tOqGhkqdtSkfIlLWrVm3lcAQRZW5mZqUzqLTY2xOzRX4iVVXav7/kZQmOMCODjIzoyRMyMaHHj8WP8PQpVasmec0/Li6unqnpdg5nmpbWYH9/yZYz4f17srMrXlaAiIgiI6lGDerenb58ISKKjo4W531TUqh2bfrf/9ixqhxQoR3hb7/Je7gzM5MMDISVLUtNJQ0NwaGH4km3a9QgS0t5Bs3NJQsLMjUtka49I4Pc3Jht7CuMLl1+Vvd4+pSMjIhBaAmVTLr97RvVqkUmJsXmgB06MAh/6daN5s2TzmxJ5OVRp040eDBlZ2czSaEu2RFGRkb27du35Q/YMJI1StMRPrxyxZPHuwos43JZe16zDbNSS0RE1KABCZvXSnCE27ZR+/a0ZAn17ClxhOnTGdWH2rdv32INje9vGFWqiDnjyJRPn6hGDVq+vNhlwUSwWjUqXHxQsmOIiaFq1YhBSbMKQYV2hFu2MCmpKY6QEPLzE9YwYgRpagq+e8Ud4devpKXF5AsvBsGGWZHgGz6fevUShKuUJenppKNDAwd+/3XYMJo8mUk/IdUn4uOpenWytqbffivYUDh/npydxS5oR0SQpaWsx+9FEhBAzZpRdjZL5whzc3MdHR2PHTsW9QOW7GSH0nOEycnk6hr222+je/RYXLlyuoKqwsjNhw/E4RCjsmXr15OGRsnLEhxhw4Z05AiZmUkMAODzycaG7t2TbMjtW7c6qavnAP8CHlpapKtLvr70zz8S41GFEx9Pjo7099/FLkdEfJ8uCyaCBTByDBERv0wQaYV2hC9fMj4sK4IWLYStg3z8SGpqNHOm4DchZZguXCAuV87IfkECNh8f/oyAgPoWFv6Wlu/r11dIHjUpSVi3rh9gxePVMTZOePyYDA3p5UuJvYSWYaJ378jSkmrVIn//ghqStWuL3h/Jy6O6dUlYeXZ5WL6cnJy+n11mxxGmpKT0Z7AVVFaUkiPMyKCmTWn06O+/Ll7MZHusrNDTK7ijxZKbKzS4W5wjvHePLC1pxQrq3Fmi+shIcnRkYAYRTZu22tzczdy8Vd26jx4+pPR0On6chg2jatXI1pYCAyk0lGnESlISubrSH38UvpaeLmQiWABTx7Bt268RRFqhHSERWVhILKkpkjdvyNBQmOvp2pV0dAomJcLrEQYFkYoKEw8hhuhoUlPZN4inmQ9cAbq4u8ujjS3aNGjwD0DAOqBl3br0xx/Uu7fEXsIdIRH9+y+ZmlKTJuTjI9gX/d//RD8w1q5lPfviyZNkbv5zw5G1zDKBgYFv2N7GZIvScIQ5OdSuHfXr9zOtxdevpKdXbnJIF6dDB8bHn5ydqW3bYtfEOcKhQ+mvv8jKikkKqJEjaf58BjasXUv29hQfL6QpP5+iomjOHKpfnwwNqXt32r5dXIj5t2/k5kYTJxa+VjARFLXxIYVjGDfuFwgireiOsGfPnEWLXkjMQiyUuXMpIKDE1eho0tAo/GUVWZjX1ZVMTORMb+Pn1e0AQEAeYK4mZEmm9KlnZPQYIOA5UEdw2snCgq5dE99LpCMkonv3yNSUOnQgNzdKSEhPJyMjYa8vSUlkYsIsRTJToqLIyIgKh76y4AhtbW319PQERVv0fiC/rSyicEeYn0+9elHHjsUff2PGlK9q64U4dYp4PGZ368KFpKNT7JpIR/jtG+np0aJF/2fvvOOaOt/3f5/Dlj2SsKeAgIiICELBBU4cVdE6ECfVanHVotWPWG0tVlux1iputLaK1kHdWhduqa17U1GciEgBWUmu3x8BZITkJCSA31/fL/+AnPM85wSTcz3jvq8bHDKNysogEHAYuf/yC+zsOEWLPXyIpCRERsLYGMHBSEioDB+8cePGlzNmbFqxoszfv6rraeVEUHb0uwLCIBIhIkLao/R94r0WwoyMDBsdo86MpqNus7PyntQ1EIvh4oLLl2sd6NABxsZV96jqFMKiIhgZ1bHHyI2bN1P1DVuT5laiQWRkzBor35XqmBsXF8gwW4m6Es2RPE7XrUP79rJTVWQJIYDjx8HnY9IktGiBzMzp06XtPE6a9G6ZTSZ3794NcnX14/H6BAfLMDiT7ObXWPhp0l6jqkLtQjh5Mjp1qlzsfofEX71puArURkuLm5lLYSEYBhcvVn2tTiFctgyDB8PJCadPy+34998RHCzvpCNHwOcrPB58+xZHjiA2FjY2cHa+Hx3dxshoJ9EMlp3k7l55ltyJYCWKCcO//6Jly/c6iPS9FsJw//apRCD6i6i1jYNCbY8dKy8aVo0TJ6CvXyPov04hBHDxIlgWixYpdGkAEIuRlAQLi9QuYSwToUdzGfof0UBTU0yfrvJIEYVZtWpVn86dd7i5wcREEmECX1/pewkVyBFCAHv2wMoKs2fDxubJwas1n5c3boDPr6x6JpvIjh0vEYHoB23tpbW2/yXk5cHbW4r3kOqFUNbno5FQrxDOmgV/f+mOhAD69GmydXp8fNCtG7dTXVwwaFDVF+oUQi8vxMUhPJxLr0OGyBOLc+fA58tdfpGFSIQLF5Z27JhU4ZLs2qwZOE8EK1FYGDIyYGX1/gaRvtdC6OvkcYAIRNeI7LTNFXJ7jIqqlSMnFsPbG6amNYRIzoNuyRJoaEibWtbNP/+gY0cEBUmy5oOCIjQ17SwsvC9fvjZnDszMwLIIDKzD7KYhKSuDmVl5LcA//oCbG+qWEPlCCGDzZtjZYelSCASfh5xdtarKoa5dsYKDtb1QiIMHuxgb5xCBaB/RbB0ddOmC6dPx88+4cUOSnlVairAw6VVwlBHCgICAHytSr8Ri8dChQ8+dO1d5dMuWLY1SyFcGahTCZcvg5iZ970rC8eNwd1elH77q+PprGBlxO3XmTJiZVX1BuhAePw5PT7i5cfFAKiiAqanMod6NG7C0rOFq/fLlS64bPzk5+Osv7NmDZcs+8/PrS1RKdJ7IgWUfR82az/vh26BdeYfPIytL7n7e+fPno6KiVnD5Qlbl1ClYWuLuXVWm/zcU77UQHoiK9iYmgow8iV1v3sLdpczTE/HxuH1bTkNJCZSaflC//gpT09ppNvJH/KGh5TMnLiQng8dDQoKMjNrDhxEYCJaFmRmmTpWyAtVwXLsGDY3yv0m3bli+vK4TOQkhgBUr4OKCTZtKjHnj7A+Wt/jtN3h5yfl63r6N+Hg4OsLTc+ugQR3NzBY2a+YrENy6eBFpaUhMRFQUPD2hqwtPzzMuUUmeiaKTaTXGNGKxeN++fU9lVkuVUE3Y7O3tF1aYLohEIiL6tYpV8f9HQpicDHt7+TZ5vr44cED1V683Z89eJZrC47XbtGmTnFNzcsAwVRMDpAvhoEEYOVJq3mFtNm9GRETdh7Oy4OBQtQSOUCiM7NIljM/34fG2V5qCCoV4/BinT2PLFnzzDcaPR8+e8PKCgQFMTNCqlcTz5WhMTDuWDSAKJ/Juxksw+jqj1yT07Yt27WBtDW1tWFvD3x99+uCTT7BgATZuxKFDuH4dublHjx51YNkfiLozzEAFK2IXrFzZU08v0MIiwMlJUk36feE9FsLUVFhZpW1Mjo7+5Ldft6FXL0RG3rgqlCwASBSxriqSq1fXMoAuKYG9PczNa69LyhfCsjJYWMhf/X/2DL17w98f3D4heXmYOhVmZtDQQGBgjS2LBmT+fGhq4u7d8gFrHeFpXIUQwIIF8PbG4cPPtaxi2nZr5+g4Vl//TV3rrm/eIDkZYWGwtkZsbGUC1q1bt3777bdnz57VPD8/f/XH6XMdk0snxCI4GAYG8PREZCTi45GaOnHAgPHGxs8OH5Z7j/8JYS127YKVlfxBJoDkZHTtquKrqwIdHUeiXUQXWNZFfrUQG5uqzsJShPDZM5iawtOT43pg9+61Kz1U8OoVPDzKC6FVcODAgSnGxiAqJGrTrBlCQ+HoCB0dWFsjOBhDhiAuDitW4Pffce1aDaOq3bt3m2sHCMiOR76Ghv41v7NCIZ48wcWL2LMHP/6I2bMRHY3wcHh6wti4n4bGLxVl1VqyLOLjsXw5fv0Vx47h6lU8fSpjxPrd11//yDAgukLUp317Ln+WJsL7KoQXLkAgwJ9/vnvl7Vt07oyRIyESiURIS0NsLAQCeHoiIQFPnpSfJRQKz58/7+t7X1KS/R1Ll8LKSqqjGKc9oFu3oKGBWbPqPCElpdxmhUt1z+qkpsLHBwwDW1ssWoRx46ZratppadnPn6/43qRytG0LPh8iEcaMqasylAJCCGD6dLRvPzF8+gxiREQbGSa2RgaaUIh9+zB4MExMMHgw9u/nWIZi61Y4OeGdPpaU4PJlrFuHSZPwwQd+DAMioTQLrRr8J4TV+eMP8PnVvm8yKCmBlZVqw3/rT35+Pst6SDbOGGb613KTGCZMgKVl5W9ShPCrrxAejsBALld/+RImJnVEERUWIigIX3xR4+XdO3fO0dKSCJKvsTGOH8eDBxzXndasWaehIUmCEtraSrcRr4uJY8dOIZKIWVttbcTHY+JEREaiQwd4eUEggIYGzMzg7o7gYPTti7FjMXs2li7F5s2D/Pz2EIEoh8hPT4/rKlkT4L0Uwnv3YG2Ngwdrvl5YiA4dMHZsZXyjUFiuiHw+goOxZEmxl1dnE5NxLNt11qwqdXLfvIG5Ofh8qYVRuAZDrFkDlpWyWfDyJfr3h5cX6mc/kpWFQYOgrf2UyJ+ogCiHZe0aqCisxG5m4EA8eQJzc6lx3YoJoViMMWOmWlmfJAJRLlGYt3f5oRs3MGMGrK0RGIiVKxVK1T11Cjwerl6t84R2Dg5PiMo47L7+J4RVOH8efD4Uco1ZsKCehVrUgba2PdFhohsM0+IvueYujx6BYVCxjF5TCEUiODrCzY1jodoffqjDbKC0FD16YMSImjHZr14VhYV10NcfZ2bWicf7oY6QsLr46aeXGhq+enrzzcz6zp37rUJtS0pK/OzsHFjWSUfnUF1V47KzcesW0tKwcydWrcKCBZg8GcOGfWxl5UkUTxRCNF9PD/b2SEpquGJy9eD9E8KXL+HqivXrpR/Ny0NAACZPrvFyURF27UKHDgcZZgYRiER8vu+7B/fMmXB0rMtgWoGowN69oa9fbZVi3z7Y2CA2VlWWMSkpKQwzRDKuZdkPrjTYsPvEifLKwvHxUr/SigkhAKFwu59fO6J9RP2JRvbui6QkBAeXL4EqXnP5/n1YW0P2qufZ06cDnZ1vHD8ut7f/hLCCa9cgEChsA5+TAzMzbp5mDce5c+fs7dtpaXXi8VI5NbCwqMxDrymEqalwd4evL5f6N7dv327T5mntgTvEYkRHS0nH/PtviXdMWVHRhQsXMrnWLitnxQo4OiI9PXfnzp1Km/8pJwzH/vijo4nJQqJohvlq0iScO4dOneDhgZQUFRQKUifvmRAWFiIwUI4jszQjBQknTpwwNf2YCERFlpYVyRNZWTAxgUBQV51MBYRQJHplaRmppeWgrd0vMFAcEwNnZ9UW1cvPz9fSsiFaSrSQqEODxiRMnQotLdy7Bxub2h4aCgsh0LFtcCwx/yP6imgow2DIEBw8qNzw8eVLuLhUjTSoE2WiRu3t7RmGYSsgoqq/Mgzzf1YIHzyArW3dW1syGTdO5dbpKiErS/rKjRSGDYOjo+THmkLYowecneXmIgiFwtDQfmZmA1k2dO7c72oenjoVHTrUDIb75Rfw+VIrYHAhIQHOznjwQLnW71BaGI4eOTJt1KiNPXsKu3UrF78jR9CmDdq1a8rJFe+TEAqF6NOH04rL69fw9a39NRSLxb17R/N4HXg8n40bt5a/OnIkWrTAsmV1X1aBPLFgO7t1RAVEE4iWeHqqIyXw0aNHgwYNHzFiTHT0m3o7niqIu3t5Rc9agXJKCGEnX/8jRCB6QWTNmHTogO++U8a07u1btG/PzUhSOSH87LPPRspD4btWJ6oRwhcv4O6OakkuinD7NiwtGzXkuU6Cg+HlxeG8a9fAMJIVnmpC+PAhTEzg6Sk3S+TUqVNmZuMr16CEVUd5kpixqkv/ZWWIi4OrKxRKBKvC3Lnw9HwXEFEf6isMZWVo1+7dw0ksRkoK3NwQFtZ4YX+yeG+EUCzG6NHo2ZOrp92LF/D0rG22DuD169cllZu4V6/C3BxWVnVNB6GgEDppaxcQgegYUai5OU6eVKsJ35w5YFksWKC+K1QnJwe6uhg3Di1bIrXa8pISQpiWluakqZ3AsL4amt99s6SKMQZiY5GWxikZTSzG0KEYPJjryst/zjLcyM1F69ZISJB/pgy6dcPGjfXqQT3cvQuG4Zb7a2QkGVBXE8K4ONjYYNs2ua1Pnz5tajpOErTC57d+J4RJSXB2RtU8nuxsdO6Mnj2VM7AWizF5Mvz8OFpSyEcFwnDrFiwsqtWmKCtDcjIcHREW1tRiqd4bIYyPR9u2itXkev4c7u41bGJq0r07fHykGJBUQSEh7NW+fQzRCaIghlncvTuCg2FoiLAwJCaqvNKshHXrwLIN6PS3ezdYFvPmwd29agSsEkII4NGjRxs2bLhevZTp9evljsI8HqKikJIiy7NrxgyEhCiwA/ufEHKgsBDBwbV32hXm4EF4ezfNzaE2beDvz+G8Pn3QogWqCmFJCUxN4ezMZZwmEons7D5q1iyCxwtcvLjCVEbisVRVIf78E46OiItTzohAKMSoUQgJqaPYt1KoRhiWL0fbtjUD5UtKkJQES0tERqpgDVdFvB9CuHYtnJ2V2Xp/9AjOzli5UvrRY8fg4CB7OggFhbCkpCQmKirE1fXbysF0djZSUt6VT4mJQWpq1RWjoqKi3bt3P5JSHZgrqanQ1ESfPkp3oCDDhkFXFx07VvWLUk4IZfPPP0hKQkQEjI0REYGkpPK8CLFYvG3bjmnT4mfOPOfiUssYQSYKC+G9e/decrvCzZs3XzeNejTKCWFWVtb8uLhv58593aULoqNVI2CtWtVddKsxuXKlRsZ8HaSlgWVRUvJOCLdsgakpNm/mchWJceDff2e++2BIXHerJqIkJ4PPx86dSrwLACUlGDgQnTuroHBvVVQjDGIxevasUf6pnPx8JCTAwgIxMaidDtzgvAdCuH8/LC05JfJK5eFDODpizZqar4tE8PNDu3Yy3FIkqNJL8vp1JCQgLAzGxggLQ0JC5p49Nlpa/VjWmWUX/O9/Snd85gy0tREY2FDeVg4OcHODpWXlIFQdQlhJTg5SUhAVBVNTBAcjLGyxgcFoolSWDd2yRTEnOoWFcMeOHQYGBp999lmNeWslYrH4xIkTQ4YM0dbW/ke5oqmqRgkhLCws9LOz28owaxgm1NBQZQv6q1ejd2/VdKVqPDwQGsrhPD09/PDDOyFs1QqWlhz/Pt26ocKbDwBw5Qr4/HehzcXFiI2FuztHi43aFBejb1/07q36rViVCcOTJxAIqhWAqUp2NuLiYG6OuDi8eXP69On5n39+gFtGimpp6kIoqaNz5ky9Orl7F7a22LKl2oubNqFlS1hby54OQk2myrm52L4dY8Ys0dVNqshAddTWrk+X9+/D0BDNmzdIfMKjR9DSgrd3ZdUdtQphJUVF2LsXJiYdiCRbsUc//jhOoR6UWRo9cOCAt7c3EbVo0WLkyJELFy5ctWrVjz/+OH/+/AEDBlhbWxNR9+7d5ZuVNBRKCOGFc+c+MTKS2DT3EAg4ToLl8/Yt+HyJqW5T48QJMAzkr8R07gxf33IhvHEDOjocA9T27IGHR5V1wfv3YWOD7dvLf33yBIGB6N1bVilBmRQUoEsXDB2qligEVQrDzp1wcZE1Y330CDExh0xMuujp7SaKNDFZp6jNab1p0kKYkQFra26VU+Rx+zasrd9tb5eUwNkZH3xQfbwmHbVWFxjcrt0KIhC9JHLV1Kxnby9ewMIClpbyq6yogI0bwbIwNpZ4TzaMEEoYMGCchkYKkUhff3pS0gaF2iq5RygWi48dOxYdHW1vb08VMAzTsmXLKVOm1DVZbCwUE8InT/Dlly+trdtpab0kyiBqbWUlUuHKwpw5HMtrNTxOThzKqO3eDU3NosLC0tJSDBgAY2MuhiklJXBzw8GDuHD+/OjevacPG/bM2fmdgqalwcYG8fFKr+C8fo3AQIwfr5YloDt37kyePHl7pWbXnxEjMGGC7FMm9uhxnghEz4giHB1x5UpDZuI3XSF89Qru7rLDWBTj779haVm4fXtqauqZiRPRuTOX6SDUJ4T37qFXr0fOzrZaWl1Z1o1hDjIM5s2rZ6/5+bC3h4kJh5Fu/enZE9raGD4cDSuEr1696tVrhIOD/6efzlb0iZ2WlvZCRu2ECmQFy7x58+bOnTsPHz5sIF8fxeEqhGlpiIyEmRliYvD33/tTUzt6enb387uk2gD3Fy9gZoZXr1TZp4rYuxcsyyHSUlu7dP360tevoaUlNRK9NosXo3dvPH361J/Pv0i0i6iTQFB+TBIqUpdpCweeP4ePDz7/XC1xSOfOnbNl2XiGCWaYEX37qqbTvDw4OeG7kX+xAAAgAElEQVT332WcsnThwvl6eiDawLLTXF3RogWMjNClC+bMwb596h7bN1EhfPsWQUF12VoqTcGJEwEaGrP19IYyzGdWVlymg1CHEBYWIj4e5uaIj0dJSUlJyYkTJ168eFFu0la9DpoSiERo2xa6uvX0dON2JT4f2tpIT29IIVSauPHjh5qZPTlyRO6Z/6ejRt+8QVISvLzg4YHERBVHWUhlxAhlinY2CNbWGDhQ3kmBgaL27UUzZ0JXV/7Ow7//5hxOjzH69dXk+Qc6d56joSFZcG7P55fk5WH0aPj41CdaMjMTbm6IU2xHQAE+7Np1MxGIions671I9Y7Tp2FlJSPisbS0NHbECD87u1F9++ZJQg/y8nDkCOLjEREBMzNYWSEyEomJSE+XOhGuz8C0SQnhtWvX2lhbu+jqLra1xfDhKh/v7N27d06zZpKPpR/LirhV0laxEKamwtERkZHSp2wnTkBHBz4+9V/379EDmppyLMdUwK1bYFm4uLwXQtiGxwNRmRSzq5r8HxXC9HTExMDUFJGR4DAcUBlXr8LGRgm/+QZg61ZoaMgZDITa2dkR9SVa6epa7UBJCR48wJEjSExETAzCwuDsDF3dl4bON5wjEBeXtWhRgInJdaKDDBPavDn8/TFkSH1cNjIy4OJSu1ScKvl49OjZRCC6SxSoqalcXqN04uKg9BRTKMT160hORkwMPD1hZITgYMTFITUV2dmPHz9u7+oawucHubk9UcpQoEkJobux8e9EOUQRRD/VbfWiNGfPnh2grw+iN0StDA05tlKZEN66ha5d4euL06dlnZaRAVNTWFvXPzd27FhoaGDLFohEohz1LS18993PRC0ZxllXd39jBHzJp6gI27ahV6+2LPuKSChzhUbC/y0hzM9HUhJ8feHmhu++a5Ad5Fp07KikVZv6sbDAqFF1Ht24caMT0V2iS0RWRKWLFmHCBISFwcEBurpo0QJ9++Kzz5CUhGPH8Pjx33/D0hK5uQBQXFzs6+Tkp6nZSkvrk2bN6mlQcPMm7OykBMCrlsLXr700NBwZxkFL6+SHH8LaGsnJqum6tBRt29bpE60Qr15h717MmYPOnWFk9KmxsaRE+z6GmdynjxKLHE1FCDMyMH26l8RMmmgj0aB+/VR+kfPnz9szjBeRO5GDri7HVioQwtxcxMaCx0NiIqcN4KIieHpCT6/+bkSzZ4Nh9jOMA8u24PFalqihLsoPP/wQSPSI6BCRLcuqvP96kZ7+rvhIUtIfu3e3sbG5wcHy8L0XQndNzYnR0bh2DRMnwtwcAwbgyJHGzG3fswft2jXa1WWyejW0tKQteWZkYOvW9tbWIyseTP5EB8PCsHw5Dh7EgwdSv8xhYVi1CigpwZ07x775ZqqeXnlbU9P6lG5PT4elpcokSRZffomBA98Jw59/ok0b9OypGkOQGzdgYaHiKGKhcGRIyGUiEKUTjTYwgL4+jI3h5YUePTB2LObNw/r1OHQIN27U1sgzZ87YsqwVkb2WVja3ycfcWbNamZuHt2nDpca3fEpKsH59eVIdw8DCoqee3gKiE0QtiXYFBKjcvH7mzJnzKj7SzVmW48eyXkIoFiM5GZaWiIpSLPEbwIcfQkMDv/yi5KUrYFkXotdEYJhP5nB05FSE8PDwxRV/VYcm4j6dlYWEBLi5wd0d8fHIyKg88v+Ls8y/DBPCMLd5PHz5pWrcJ+uJSARX1/omQqkNY2N8+imQk4MDB/Dll4iIAJ8PGxt8+OHhMWNsiA4TbSOylPr5fvsWV69i1y4sXvyg6/iz+mFiRyfo6MDF5VL79kN0dUH0lqgVn6/E5kFBQUFZWZmkwJiyOfeKkJkJCwv880+1GVJZGRISYGaGhAQVRHIuXYrgYNVGhJ4/d64Nj/eFsXEbPv/ihQsAkJuLa9ewbx9Wr8bcuRg5EuHh8PCorZFOGhrJRCD6H1GQsTFOnCj/99dfyMio9i8/H8DGjRsDGOY60Qoin8oAKHn88ssvKTWM1M+dQ1QUbG3BMNDTQ2AgliyRXCI3N3dQjx7Bzs6rV6zAF1/A0pKLnx9Xbty4bmPTnuge0UEiJy0tju0UEkKRSLRp3brPxow5euQI0tPRvj38/SH5r1GC6dPBspg7V8nmAACWtSMqIwLRN+PHy4lhVoKtW7e6Ep0i+knxzfXMzMzNmzdflVFCUCGKipCSgogImJsjKkrqFOj/FyEE0edEXzep+g/Ll3OIS1Ej9+7dG9atW++AgMOVVVuKi3HuHJYtu+Yz7B7jCiMjdOqEmTOxcyeysiSnnD9/3ojImciJyJwI168jJQUJCVU3BeHsjLAw0diYb80TrsxJQXp6ZTz6lJEj21pYtOLzUzZtUuhuRSJRr15RPF6QiUkrY+Pdat/tl9CvH77+GlKXCu/fR1gYfH3rG4QnFqNLF8gtjKwgL168OHToEJeI8HcauWoVoqMdiJ4Tgegc0VgiaGmV/2NZMEy1f0QgWka0qWLg35oIJiawt4ePDzp3xrBhmDkTK1fi0KGqRrIt+fzeDNOLZX0FAsyfj9atoa0NloWTE8aPl++xfuECPDwwaFB9d8tKSzFiBFgWfn6LZ870MDLyt7JK5/HArYiRQkK4cNasSQYGx4jCdXX/sLBAcnJ9l6PWrIGGBiIjlWstEkFHx4GoPdEEojZeXndUnne0f/9+IyIXIiciax0d7g3/+usvPx7ve23tzubmKT//rNBFr1y5smXLlizJw0okQloaYmJgYoKwMCQnywhH+P9FCH9mGBuGeejt3YTM/vPzJbONxrp+++bNzxJlELU3NHwcHQ1/fzRrhjZtMGECNmxoq3d9zhdSvhzBwcHRFQ++cKJMR0cMHIi4OKxejWPHkJlZGcG4cCE+/FDKdYuLi5XIyzx06JCJySQiEOXzeH6KNleGAwfQvLnEuFf6nlnlAldsrCwDYLlkZUEgaLRPZmW9disreHp6GxlFEO0makvUOzxcbut169YFMcwdorVE7YyN8f33mDgR/fvjgw/g7g5LSxgaQkurXDg1NO7p6nav+Pz0IHpgaIhu3fDLL4plgBYV4bPPYG2NXbuUfNebNkFfHyYmNaol4MIF8Hg4d05uBwoJYQcPj8rqEzOioxW/XWlIQkn9/CShpDk5OYsXL/vxx1UFtT6KJSW4dg0pKZg/Hx99BF9fNGsGDQ0/or1E32torNDSEvr4cEmeVICuXbt+q9TS6IyxY49WmAl0NzfHjBmYPx9Ll2LtWqSk4NAhnD2La9fw8CFev676sdm8dm24ufl3Ojq+ZmbXx4+HgwN8fLB0KZe19P9fhNDT3j790iVs3gxra0yYoMrYv/owYwamTWuUK5cUFgZVWOd8oaV18OOPceZM1a/CjBnQ15fScNns2W5EuUSPiKyI8usIxHj+XJWbXwUFiInZxTDxksoVlpa+qulXBiUlcHfH3r2S32QFjzx/jqgouLjUKyZ9xw54eKj4USSboiKkpiImBgIB/PwQH19pNRvWsaOjvn6UtILjUpk5dWpLE5NO3t5yHKJzcnDu3O358/0YBkRiIm+WvSPf37ZuTp+GqyuGD1fs6/zgAVq2hIYGxo+XPi3buxeWlnI/uwoJ4cSQkA0M85ZokoHBpnXrFLhb2Tx6BHNzCAQljx45O7fT1EzS1v7ey6tTejpSUhAfj8hIeHqWr9FERCAuDklJSEvDv/8iIWG5hUWYickkXd32ffoUGBjAwUHh/UoZfDVvXneiIqK/iWwYhnvDJePH/8AwIDrOMCO8vbFoEebMweTJGD0akZEID0dgILy8YG8PU1MwDPT1YWkJV9fOenq5RCA6QPSFj49C5eybuhDm5OQ8fvy4np1Uixp986Y8UispqfELQWRlwdxcaVMxJSkpQXIy3NzC9PU3s+xRIj9Ly9phESIRdHVrFas5fhyWlgEMY03kSDSFx6vrIiNHqia37/lzxMeDx0OPHoV2dsFmZp9YWHSLj1+igq5l8/XXVXMb5EdR7tsHBwdERiq/Xjd0aENUzSksRGoqoqJgYoLgYCQmVi56V0WtUaM9/f1dWdaVZfsEBdW3r7dvERcHa2u5RaEBQCRCTAxYFj4+chxWVq+Gi4vsmYQCQrh58xtLywndugW7ui784gsV59UVFcHLS6Sj0920D9FGoq0ME+Hj8ywqCgsXYudO3L5dZ6LWvXv30tLSXr8u6dcPQUEwMalZKEx5RCK4u3/DsjZE9hoa67hr/4YNhTzeQG9vP4Ggs9yhlYT8fDx9ijt3PmrX7hwRiL7X0VmmYKJ20xVCsVg8ceJEMzMzBweHdu3a1Xb7FIvF/fr1s7W1JaLTMlNwpOQRXr6MwECEhChd9FVlDB6MxMQGulZ+PhITYWODsDCcPv3q1au5U6dOiY6uyxJv/HiYmlb8IhYjIQGWlnBzg4NDUVGRMDGxjuhSXL4MK6v66vuVK4iJKa/HcOsWAJSWlqalpd1tAKfWx49hYVE1qIyTMBQWIi4OVlZKBrO+eQMHB+zbp0zbWvz1118//fjjlcoyhzk5SE4uN06SlMGT+ZRXd/rEixcvOIakcuLMGbi6IjJS1tQwJQWGhtDX51oTdO5c2ZUOuQrh8uVwdFS+SgY33vbo1ZsokphuxFhpaHF5pldFJMK0aWjeHObmMDCQk9DICT8/GBqia9fi9eu5Cr+kELebG5R16MzIyOjo6dmGzx/UpUuRghbjCgvh7du3a4Z7qYeDBw/a2dm9evUKwEcfffSptMHy+vXrr169ampqqrAQAhCJ3m3wNGLW1KVLcHRUu41kdjbi42FhgYgIXLrEsVFJCbS0sHIl8O+/GDgQwcFYvBgsixs3yk23TUwwfnzthiEhqM/yT1oaIiJgaYn4+Eayohs4sIa7owLCcPky/PzQo4cy+RWnTsHWtv7ved+ePR3NzdcRhZqaHpw2DRERMDJCRASSkzkOT5pKHiF3JKMQGxspxnWPHsHHByyLDz9UzJll4kT07FlXE05COGcOWrRQt79ncTGCgvb2ofLwJT+GuX//vhL9rFkDPh8CAfT16xeW27499PVx8yaMjQufPeMkhC9folMn9OpVnnHc4CgshOvXr/f09JT8LBAIzqgtAWDEiBGff/655Oe0tDQzM7O6zjQzM1NGCCXk5CAmBjY2DZKSVgft26sxFeDhQ8TGwsQEUVFKrHoMH4725nfg5YWYGGRnQ0cH06ejsjDvkiXQ1q5RB/rXX+Hrq4z5tWTJtmVL+PggKalBqsZI5ehR2NvXCDBTTBjKypCYCB4PCQkbV678qFOnBXFxXIeo06fXP5Z4+Acf3CQC0XWiEZKIEgV3H98/IZRw5AgcHMrGju3eqpWDtnZQ8+avp02DpiacnZVZ8hMK0a9fXaZucoRQJMLEifDzU+W2mzTevEFICMLD0wJYFkQiojZE/2ppoXVrJCQoWpz68GFYWEAggJGR3IKMddCtG3R0cPcu1q/HwIGcLNbS0+HgoHQhbpWgsBDu2rXL0tJSEvWnViEMDQ1dXVGd4NmzZ0RU15eTixD27NkzvQIp9aFOnULLloiIqLoa1nCkpCAkRPXd3ruH2FhYWCA2Vuo+EBeKt6c+J8H5cWsBICAAdnaS19/VIzQ0xJQplee/fQtHR5w8qdhVsrORkABbW4SFITW1Ubduy8rg7Y09e2q8rIwwPHiwx8dnsIbGPaJvdHRmjBvHqVVxMby9lRmWiUQ4fx4zZ8LDY6a+/iaGAdEGTc0vJk1SuKv3VwgBvHkz194+jugt0VKiySwLBRN1qlFYiIAASCuNK0sIhUKMHInQUEV1SFGeP4evLyZOhEiE8NatXVnWkWWHduuGEyfw4YcwMwPDwMwMH37IPSb52jXY2YHHA5+P2FgFtWnwYGhp4fJlAOjWDdu3yxdCSSFupaN/VQRHIdSsrLXUtm3bN2/edO3a1cXF5d9///32228FAgHVIikpqfaLCpGfn6+npyf5WV9fn4jy8vIMDQ2V6+3KlStjx46V/GxjY/Prr79WO9y6NZ08qb12rXZAQNnYsSXTppGOjvK3rijh4fozZhSfOCHy81NJf+yVK9orVmgeO1Y2Zkzp5cswMSEiys9XrBeRSOfbb7U2b04I3r3jQMC99et1L10qPHtWnJ9PRMXFxRoaGlpaWtqTJ+ssXpw/dy5pahJRQoJ2mzYavr5FMq729OnTZs2amZiYENE//7ArV2pt3arVvbvwt99KPTzERFRQoPRbry/ay5Zp8HhFnTrV+HMVKHFPPN4pP7+xV640J5pSUtL52LF8bv8F7Nq1zXr3fuvnJ65S46xOhEKNS5c0d+3SSk2Ftrawe3dhYuIkT89JQ4Yk3r/v6Oa2fNYsjtetijLvt7FhiorYv//WSE8/lJ29nEiPaDBRR13dBf36Kfzhr9rt1q3NwsNLzc3LRo+u+rrk0SkUCms2KCnRGz2aysqKtm8nhqnPpWXz+DHbt69e797CL78sKSyk306dev36tZaWlqGhYT4RJScTEfvggdbatZr79rEBAaStLWrVSti7d+n48aSrW1pa+r9Zs7IyMibOmBEUFFTZrYMDHTvGDByo9/gx+9tvePhQvGZNUcWTWBa6U6dq7djxdt8+UfPmzMOH+ufOFSYnFxYUiEQihmGkNCgp0f38c43Tp4v27RO7u6vvD8UFsViso6OjpaUl57yqqvj777+HhIRYWVmxLGtoaGgqjfpLdPfu3ZdXTM4fPnzIMExdhnj1WhqtQVYWoqLg6oqDB0tKSnbv3n348GFVFiOsiyVLMGyYck0fPXrUJyjIz9Z21sSJ4lOnEBEBBwckJtbHzBqvXqFrV3TsiBcvsrNhwuaJtHQxeXLl8XczQpEI+vqSCNGsLDmJkSKRqFu3IXx+Dx4v4JNPfoqMhKUl4uKahNUPADx7Bh5P6hqacjOk1F27Io2NbxN9xbJxzZsrsD65eDE++EDWzvHr10hJQVQUTE3Lkx8kAUUqoqnNCDMyMk6dOiVlefnJE6SkIDYWwcHQ14enJ2JiZnfv3oVhThANYZhhEREquTxsbGqUApY+I8zPR1gYhg5Vt6W+xGh36VLODUpKsHkzOnRAs2ZgWdja9jAwiCXaRGTPsum1TCGKitC/PwwM4OKCwEAO67szZ4JlK9ONsGoVhgyBjHqE9S7ErVrqFTWq1qXRuLi44cOHS37etm2bl5dXXWeqUggl/P57maNjRyOjL/T1PzUxGcwhrbi+vHkDMzPlFjD7h4aeYhgx0SQNjRRbWyQn1/dL+NdfcHZGXFzlg/i6SVC2hmXVU94JIYA5c6Cnh7KyYcMg27PwzJkzZmZjiUBUpqHROilJ1GgbgVIZMgSzZ0s9orQwbF63bmhY2DczZxYPGwZfX64RNCIROnfOX7Dg7Nmz1eoDZGYiKQkRETA2Lg/+fPZMuRuTTZMSwnU//tjBwiLWzMzfyen1w4fvalFZWMDKChERSEhAWlrVccaXc+eGuLpOmTBBZaPYq1dhaYm0tMoXpAjhy5do0waTJql7r+viRVhaco1+lUJaGgYPblWR7b6MaOzo0bXPEoshqbTWsiWaN5eZV/n112BZbN367pVOnSQJLdKF8PRpWFs37qZgDeolhKmpqa9kRrjdu3dv5cqVyt3Z/fv3DQ0NN2/efPbsWTc3t8p+BgwY8GtF3YaDBw+mpKQYGBgsWLAgJSWlruRuhYUQ+PPMmTEVJcq68PmvGyABPzYWs2ZxPTkvDydO4LvvMGxYgJaWkAhEO4gW1vEcV4CNG8HnVxv8bt0Klm3NXqnyEKguhEIh9PSyRv3P1lZOnYONG09paU0gApGIz/cVNmDJdfmkpcHevi6DGNUIQ1ISrKxw/DiXc++cPNmaZScZG/vx+Wc2b0ZCAoKDYWGBqCikpKg7zrlJCWE7e/tiIhAtZ5i1enoID8ecOfj9d3XHodTk0CFYWlbOvGsKYWYm3N3r6f/JhT/+gECA+tc1ctTRuU5URhRJtF9fv64yLitWQFsbrVpBICjp1+/z5s2Dxo6dXlw1Pu7HH8GyqIjnAIBnz2BiIol2kyKEkkLcHIr/NSTqzSPcu3evu7u7cm0BHDt2rFevXiEhIYmJiZV/zdmzZx+tqJcxderUyCo8q2N0rIQQPnz4sDOPJyR6S+Sjr6+OMiU1ycgotbC4d/Wq9Gvl5SEtDYmJiIoq94rw9ERUFBITFwwdOtrQ8Bcifx6vroxATpSU4JNP0KJFtUW2/Hzo6mLChKAgtGz57uVqQgiIp04tYvU3b6gzNv31a4mNgdDFpR+PN5DHC5037zvlb1XllJXBxwc7dtR1XGXCcPCgJJpU7onTRo06TASi20SRenqYPh2nTqk9zaaCJiWEQY6O2UQgmqeru6U+kS/1Z/NmODpKlvKrCeHt23BwwBK1+zzs2gVLS1Xk+QH79u1z0dOz09CIDA1FTAy0tGBmJjXtKTUV2tqwsFjEMAuIinV0EmbO/Kr82NatYFksWFCtwfLlGDFC8mM1ISwuxpgxaNWqPoW41USTFkJVoYQQAli6YEErPr81n5/i6IjRo+tfG1o2GRkZbfT0Bhsa+trY3LhxA2/eVFM+Q0MEByMmBomJSEtDFbEUi8VJq1aNHzXqYn3MKp88QVCQlCX7kBAIBADu3gXDlIeDoZYQ/ryhtITREc+v/n0AUJGuKRC8Kzhz+/Zt1dTrUSFLlyIsTMZxVQrD/fto2RIxMZA5upo1ceJOhgHRJaLh3bqp7OrcaEJCmJ19zMGhlYFBBz6/b0hIQwxJZZOQgJYtkZv7Tgj//BNWVli7Vt1X3rABNjYKGYcpQmGhDDm8dAksO4DoBhGI7nl5dQeAAwegoSHJp6rGBx9U+kK8E8LHj9GuHT76qF6uvGrjPyHkQH4+evZE165qXY+aEh19iAhEF4hG6unByAgdOmDaNPz8M27dkrGY/vO6dR0sLOKMjX1tbBQqR56VlTVp2LARPXqcW7VK+pJ9SgpYtjLw2tf3XQnFqkJYWAh7ezztNwEGBjWmLBcuoF07dOiASoeTpsjz5+DxZAebqFgY8vMxYACCgmTs8D179izAxaWXQNDG1vbmzZuqvDoHmooQ5uWhbVvMmSMUCvPUnIqgAFOmlISGzpg2bfSoUc927ACPJ2MtQVV8/TVcXNQ/laoqh9VLRpuZeRH1IzpOFMkwqzZGH4OGBmon5zx5AnNzySDv5cuXK1eu3Ldvn/jkSdjYICGh8V0t6+A/IeRGaSlGjkS7duBS10YpPh027A8iEP1JFBUayv0TE9y8ucTYfhPDLAkJwRdfICEB336LpCSsWYOUFGzfjiNHICmElp6O+/fx4AFyckLd3PYxzGUif5Z9VnWjW0JREZo1Q0xM5QsXL4JhymMqqwrhnDkYNgwoLISWFios/p48Ka8uV/+CM2pnxAi5vqiqFwaJZZ2dHc6fr/sU8bNnzxoiaLkWTUIICwsRGirlUdvoiESe2tqxRAlEbYlyq0eTqhyxGFOnolUrNcVFSUOaHNrY+BMtIppOtDhAs7eQ0drVbJiUb/f332PMGADZ2dm+NjaJmpoxurpT9PRw5EgD3PitW7d27txZ1x6ZDP4TQs6IxZg7Fy4uKq4nXsG9e/d8bWyi+XxfK6srikygwpycHhKBaLGmZlLfvvjqK8TF4bPPEBODsWMRGYmBAxEWhi5d4OcHPz84O8PZucTMLKiipNxsQ8ODtfeuO3VCLU/tFi3QoQNQRQgl9veZmQCAUaNgbFxaLEpMBJ+PuDg5sTNNgjNnYG0tN/FZXcKwbx8Egnr50amHxhfC4mKEh2P06CY4jMrNzfVkWcl35xOGWbZsmTqucv/+/e++++HgwcNjxqBdu8bwGiwoQHQ0NDVhYYHk5N27d7OsgGG8XVmLUkbrdyaCz4ebGwICqhetCgiQlGHZunXrt7q65a5vdbvzq5DNm7eZm3fQ1/+Kz299S8Fsov+EUEE2bIBAUDWKWoW8ffv22rVrhdzz/8RiJCRcMjdvbWERzOf3DgpSyGo21MNjL8P8SeTP59ccQ23fDpatPVk5cQIsi6dP3wnhoEH48suKw3l5Yg2tBRaJjWXRozBCIVq3Ru3ZcC3UKAx37sDDAzEx6s48U4hGFsKyMvTti0GDGiw4SCFEIpENy+YQlRK1Y9nDaigSffPmTR6vDcNs0NIa5uS0qDEHlPn5Ejk8amjoxjAziXyJdrq6Pn2KDz+EhgaMjWFsjKgoPH0KZGaCx5OEU6SlpQ0xNRURZRK1d3FpgDtt2bILUQ4RiPZ9+qnMRK5a/CeEinPkCHi8+rnSqoKiIkRFoU0byXRMAfms4MmTJ7FRUdG9ep2vUYa0qAj6+hg1SmorR0f07FkuhGfOwM6ufPP77l307InfjYaWGpg2nfQgOfz4I0JCuMw51CsM//6Lvn0REqK+hXdFaUwhFIkwbBi6dq3hYdukWPL113aamrYsO6xHD3X0P2/eIqIUScatg0OAOi6hGHl53XV1LxGB6CpRawsLycu5uYiKgpYWdHTQrBkOhy0Sjnvnwj9v2jQfgSDY1fXShQvqvsH798HjRRKlE4FhloeFfa9QjrJ6hXD//v0yEuEbDBULIYArV2Bvr6wrrSp49Ah+fhg2TC2lXMPCYGZWl5jt3SuZFBYVF5f6++PXX1FQgPh4CARISEDJsxxoauKnn1R/Vyrn1SsIBBzDeNQuDJItQ3t77rVB1EqjCaFYjPHj0alTg9YoVgqFCvMqys8//6qpOVUSPBcc3Fd+A/XzgZvbbslsiyjQyanqoZISTJsGXV1cZtr00Du+bt27sSUn0+36kZuLuDiYm+PTT++6uATxeG39/fsMGVLo4iKlEkldqF4ICwsLG3+DoTqqF0IA//wDDw/FXWlVwcmTsLbmkoumDPv2gWVRY45YHVPTQxoaNjo6PVq1yt24EVZWiIqqUt6uf3+Ym78Hk8IxYzBtGsdzG+gjnZICc/PGLIRSQaN9hT//HLzd6M8AACAASURBVAEBjVkWjTNqFcLZs0UWFlOtrPzatu3xjwzTwgbk2rVr9jo6Hixrr619uTKPqir37+cbWhk2EzIMTE1x6JBkRbBN16491fSHKisrz86PipISSfTHH/DyQlgYJ/PBegnh4MGD19TyI0hOTubxeOoeBSiEWoQQwOvXCA3FgAENWjFI8j9fYSmgYkpKoK+PCmc7qVy9epVIQLSCaCFRi7Zta4nm8+fQ1GyCASDVuHRJodrBDScMV67A2RmxsY27PdY4QjhvHry9UdVSrgmjPiFcvx7OzrILJzcadbl3AcBXX+HTTwH8+COMjUGURdSCaB1RrJ6es8rv5MgRtGyJLl1kJVaWliIxEebmiI2VE7invBCWlpZqa2vv378fQGZm5v4Kz5+nT58SUUZTCpZQlxACKC7GRx8hKAgqLLct41qjRsHHR5atdT3p0QOmcnb4QkJCiEZU+BT6LVsmrZJir16wsGi6k0KRCO3aYfNm7i0aVBhychAWhm7dtq9dO/Gjj9avWtXwGRSNIIQ//ABX1wZMEagvahLCo0chEKi7oL168Pau6nnj7T2Q6NuKB4WDCq9z8yZ69oS7OzhWiK+aylUXyguhRPAktf1+/vlnV1dXyetCoZBhmHq5nKgaNQohALEY8fHw9FSmIjl3srLKfRnqU1NCNgcOgGFw7JjssxYuXEjkSVRI9ILIWiAodHbGuHHYtq3KYODRI2hq1qsOnFpJSkJwsEJx+Q0tDELhjj59BrLsOaIJBgZLv/pKfhOV0tDvd8MG2Nur9xukatQhhNevg89XuJxnk+DWLdjaVh37zp49myicqIzoDsPYqOQi2dmIjQWfj4QE2b5MUjhxAt7e6NwZN25IOaq8EL569YqIzp49C2DZsmXm5uaS1yUC+aApucmpVwglJCbCxgZ//qmWzk+fVrsvQ1kZjIwweLDcE1++BMs6E1kTWXt4tAHw4AGSkhAZCRMTODsjJgYpKRB2CoOlZRNMAkNODiwt8ddfCjVq+BnShMjIi0Qgek7Uq02bBr56g77fHTtgbf3eTYJULoTPnsHRsemOHuUQH1/ba83ZOYDImmFslyz5vp7dv32LhITyRc7cXCU7KSt7t1Ja4wNerz1Ca2vr/v37X7161dvbWyAQbNu2DcDnn39ubm7e+JaAVWgIIQSwcyd4PBXYwtdAsil46JCKu61B794wMZG7mCkWIyIC//tfTa9RCUIh0tORkICwMLTUu1/GaP7S59cjR2qO3W7duqWQFZyKGT9espOhEA0vhKuXL5+sr59DlKCh8b9mzZCY2JDpBA33fvfsgaUl6mMW30ioVgjfvkVgYE3z6vcJT09IWwWsf9SoWIyUFDg6IiIC9+/Xp6dynj1DVBRsbKqZXtVLCNevX8+yLBGFh4evWbOGiExNTYlo8eLFKrhf1dFAQgjg3DlYWq4aNCjY1TWqZ8/6Pu5LSjBuHNzdVVtzVQqHDoFluQTgLFmCdu1QWipdCKtSWIhc7w/yDGza+okNDREWhoQEXLwo/OCDvjxeJI8XGh+vdqt+KUj8kRUcUpaVlR07diynYYM4RCLRN7Nnh7dq9cWkSUWXLyMyEnZ2SEpSt/m7BHULYVFRUVFREf74A3x+E8kYURQVCqFIhH796krcfR/4+284OUld/lFCCMVi8RdfLPT07Dhy5JTjxwuCgtC2LU6dUtGtVnDxIvz90bEjrl0DgNzcXFlxQBXUmT5x69atQ4cOSZ6J27dv/+KLL/ZWFiluMjScEAInN2/uz7IFREcYpndgoPIdPXuGoCD0769Wm7KcnJz7d+7A2BgDB8o9OT0dfH55pI5cIQSA69ehpYUdO168wK+/YuxYWFqeYtnyeoTGxr5//y1sMCf62Z9+2sbKqnOzZjcU3G97+vSpjo4dy3ZgWfuEhEYtHXX+PDp3RosWSElR95qzWoXw67g4PwuLNiYmi/T1m8iG2OnTZyIiRn388ecvOdc4VKEQxsaiQweFN72aELNmYeZMqUeUEMLVqzcaGHxK9C/LrjAwmL5li7o+7EIhli8Hj4euXTdbWLQ9evSe3CZKJtQ3ERpSCFcsW7auwsOzrYYGwsMxYQK++w579uDmTdmrW2VlZY8ePSotLcWFC7Czw/z5an3ejY2MdGLZdkRDGUbuPCM/H+7uqKiIzE0IAbRrBzu7yndx5swZE5PyCvXa2j5eXiI9PfD5CAzE0KGYPRvr1uH4cTx8KD134Nq1a+PHz0xISFTURufgwYOjjY3FRLeIOlctq8iB/v2HEiUSgeiltrajQm3VwpEjaNsW3t5cY+aUQn1C+OLFi1AeT0wkJgo2NpZd2bthyMzM5PECiNI1NLa1acO14pWqhHDVKnh4oAEqf6uR5s3r2nRXQggHDpxKdIoIRG+8vLqo4v5k8eIFmjXzJSr++Wf5CUua9B/c6Ny160hzc9tXr87r6fl36UKTJ1NGBmVk0PnzlJFBt26Rjg45O5OnJ3l5kbMzOTuTuzsZGDx69GhAaKhtcXFmWdmvDOO+Zg19+KH67lMoFB767bcHYrEWUSRR8pYt0dHRMs7/5BPq2JE++kjBy/z0E7VvT6mp1LcvEQUGBgYE/PjXX72AnM8///izz1gievaMMjLon38oI4NOnaLkZMrIoOxssrcnJ6fyv5CTE+nrP46OHpWdvUBH59bRo6OPHNnK/S4eZ2b6FxQwRO5E/+bmKvQOSkuFRLpERKQNsAq1VQthYdSlC+3dS3Pm0LJltHAhhYY29j0pQNHhw8Zv3jBERGSsrV1UVNTIN0R0+fLl/PzeRH4ikd/Dh0vEYrFkx6cB2LeP5s2j06fJ1LRhLqgG0tOJZal16/r3lJVF33xDhw+H6+ouKi5mDAy2DhjQrf7dyobPJyMjvH2r4eAAuSf/J4RcadGixY8HDuxYu9bRw2PmhAmkrV3tsEhEmZn04AHdv0/379PZs3TvHv3zD1lYJAqFC54/7050nmhRp07r1amCRCQUCnUqBjgGRAUFBTJOTkmhP/+kS5cUv4yfH3l60uTJ1KcPMQzLsgcP/vL48WMDAwPTiq++lRVZWVFwcLV2JSX08GH5EOKff+jcObp8+cyrVx8RdS8p6X7tmr9Cd9G9Z8/eWloaYvEFQ8Pwvn25N8zJoezshQzTgWGOAHeaNVuUkUHOzgpdXA0wDPXuTb160W+/0ahR5OxMixer5EmkRsRi2rePvv7aoaDAyMNj+NOnIOIFBtra2jbufWVk0MqVrcvKFhMNZJj7//5r9NFH7JdfkoeH2i99+TKNGkWpqeTiovZrqZFt22jw4Hr28fIlff89rV1Lw4bRnTs90tMpJWVHSIj/mDFRKrlH2UybNm7x4s4lJclETnJOVff8VK005NKoMohEePhwUufOx4lA9BdRVANUJF+4cDbDhDDMQJZ1MTCQUbbi/n3w+TXtG7gujQI4cQLa2qj3zvHVq1fNzcOJ3hCdNTDopNiK2u7dj11cfvr++/3793NfqLl9G82b4/PPkZeXv2nTpvv3769YAUfH8oqMTYWSEiQlwcoKkZG4J3+TgyOqXBoViZCSAk9PtG6N5GTJqveff/4p3aarASksRHw8zM0RH4/9+//o2HHQsGGTHjx4mphY/ueUXW+tnkujWVmwt8dOaXYU7xNiMRwdZQT9yl0affmy3Ck0NhZPn6rhDrnx+PHjNxx8pv4TQrVz+/ZtX2vrGAuL1gKB2p8R0dFgWaxadezYsc2bN8swLiktRUCAFA9tBYQQQIsWaN5c2Xt9x4YNWzw8OnTp8tHkyRn29jhzhluzV69gZaVo5ayjR8HjvXvjlcKweTOsrRXNQlQ/BQVISACPh5iYysdJfcJcVSOEJSVIToarK4KDkZqqgg5VR2oqHB0RGVlRSrM6+fnlf86oqDqLwtdHCPPy0KoVEhOVa92UOHsWLVrIOC5DCLOzERcHExPExKAR06kkqLf6RBPhvRBCAAUFBenp6eqNXBeJ0KEDtLTArYja9On48EMprysmhAcOQEcHtWv/1oPffy83mJA/wRs6tHaqr2zWrIFAUM1jp+p/iiTzjasMNyQ5OZLRdeaECf4ODuECgb+z8+PHj5Xoqb4fwvx8JCbC1hYRETh7tl5dqZq//kJICHx95Q+N/v0XCQmwsJD+pFZaCEtLER6Ojz9WomnTY/JkzJ8v47hUIXz1CvHx5X/YrCx13h5nVCOEBQUFa9asaQoBYFJ5X4RQ7eTnw9ERBgYcExMPHoSdnfTS2IoJIQAXF6i6MmVmJgIC0K+fzLTA33+HszM4Z2kIhYiLQ/PmNX1OagjDsWMQCNRucqAkjx9PdHE5QgSigwwTGxWlRB8KCWFubu7u3bv/lqyeZ2eXP+QiIpCersSl1UdOTrlBV2KiApbmkomLZO2uqhG20kL48cfo1atplhxWEJEINja4eVPGKTWEMCfnnQQqNUJTFxyFUE4MVU5Ozrhx4x49eqSy7cv/UDmZmWRnR6WllJlJLVrIPf3lSxozhpKTydxcFVdfvJgyM+nIEVX0VY69PZ08Sfb2FBBAV69KOyMvjyZOpA0bSF+fS4cFBdS/P/35J128SO7uss7s1IlSUyk6mn77TZk7Vy+2tm89PCSRSGZAYV6eWq/2/PnzTi1b/j18+KxOnX7s1Inc3Cgjg86cod9/Jz8/tV6aO2IxbdpELVtScTHduEGTJ5OGBte2FhaUkEA3b5KeHnl50cyZ9OYNEdGXX3758ccfFxcXc+lEKBR+//1PkZEThgzZfekSbdumwA00XU6fJh5PRljR27dv161bd/z4cSLKz6dFi6hFC8rIoAsXKCmJGjtMSilk62RmZiYRNfrud138NyNEejr09ODjw9GXRCxGr16YN6/OExSeEYrFsLODp6cCTTjz88+wsMDq1bUOREcjNpZjJ1lZaNMGY8dC6tuSOkO6fBlWVli/XqGbbQguXbzYRiCYamzsy7KXt21TogfuM8KVy5cnsSyISonaGRk1/m4PAEAoFGZlZZWVlQE4cQKtWqFTJ1y9Wt9uMzMREwNTU2houBGFEg0isszlYFQ0bVp8s2ZxRBdZtvfGjQfqex9NhE8+wTff1HUwOztbR8eOYUawrL+r6zTJhqtKPNLUgWqWRv9PCmHK5s3tHB0/cHM7rqbifw3Gb79BUxM9e3JvsWgRQkJkrd4oLIQAfv4Zenr44w/FWnHj1i20bImoqCrFOY4cgZMTR1+e8+fllDquSxhu34a9PZYuVfR+1c6rV69OnjyZs3w5vLyUqPbOXQi3/vrrLF1dEGUSdfDwUPRC6uDJkydOTv4CQR9LS99u3W44OeG331TZ/5kzz4lcKgoMjXVx2RAZichI9O2LsDCEhSE0FH5+8PODtzecneHsDC2tUKICIhAdGzt2hirvprEQCiEQyAhUnjFjBtFsiXsGw3g2pbp8UlCNED558sTKykpSkqkJooQQPnv2rD2Pl0/0gshHIBC+vyv633wDllUoWuTSJfD5ckriKCOEQiEsLeHtrVgrzuTnY8gQtG6Ne/eAvDzY23MMCEpJAY+HPXtknSNDGB4+hKsr4uIUvd+GYuhQTJyoaCPuQliWlze8WTM/E5O29vaXmkbxtfHj4xhmNxGI0ps3H67yooH5+flEtkSlRCDqGx6+PCUFKSnYvRtHjuDIEZw8ifR0pKfjyhU8eIAHDzBo0FQtrWVEzw0NR23Zoswcvclx9Cj8/WUcX7BgAcN8TASifA0Nuwa7L+X4L2pUOpcuXRpvbi4Z8nVj2ezQUEyZgnXrcOmSEuPrRmP0aLAsVq7k3iI/H25u2LVLzmnKCCGA1atL9PUPLV58SW0+y8nJ4PPxoMs4jB8v92SxGAkJsLOTXz5LtjA8fw4fH8TGNsWqU3jzBk5O2L1boUYKBMtMm4bo6HpWGFAto0ZNIzpEBKIbHTsOUsclBAJfIjsiDyJ/LjGCBQUFEybM9PPr+e23y9VxP43AuHFYIss3v6yszNzck2VbMYydvv6cK1ca7M6U4T8hlE7R27f++vorGeZbXd1wHx+kpSExETExCA6Gnh6srBARgfh4pKTg+vUa1Ytu3rz59ezZWzZtasx5ZGWaxAHFNiSGDcMnn8g/TTkhLM7PD9HQmK6hMcjUdNro0Yo2B/Dy5ctiedWI7q7647GmY+yof2W7GBcXY/hwBARwKoouVxhyc9G+PT7+WG4lq8bg4kXw+dIz5uqAqxD+/TcsLcHZqLphuHbtnoZGa2PjjwUC3/PnL6jjEoMGIT7+yblz56ZORUREkxwAqZWyMvmrRgCA27dvFxQUbN8OPr+pBRFX4z8hrIOFC3NatVq+aNHaVatqBkmXleHBA6SmIj4ekZHw9ISREfz8EBWFxMS7Gze66ejuIJrAsMMjeqvwXShAURE8PKCvL70Yc91s2MB1R0k5ITx69Oh4DQ3JPLulgYFCPQiFwi5dIvn8MB7P5+eft9d5Xn4+nJwKfjvYvz/8/ctrZdQmOxshIYiM5Dq95yIMBQUID8dHH0kPt2lkFixAaCj3mH1OQigUws+vCVaSnTMHAwYUXLp0KS8vTx39378PHg+5ucK3b9+WliI4GE2s7pz6OXAAQUFcTqxMn9ixo0lX3PpPCKWxfz9sbBRI9Xz9GidOYPlyjBu3hM9fW7GNbqepo8Td1penT2FhAUtLZGcr1O7OHfD5XCukKieE69at68UwICokcmEYhWbMBw4cMDaeQgSiQmvruiu2T5yI0aMBiMWQeGXVzuO/dg1OToiLU2D2xnGGVFyM/v3Rq1fTWz4XidC5MxYu5Hg6p/f73Xfo2LGpzYbu3QOPp9407bFjER//Lo/w0SNYWirqXPSeM3Ikli3jcmLVPMK9eyEQSC3f2/j8J4S1uHsXAgHOnMnNzf3ss8/mzZtXpkgp1MmTp/YivTKiC0S2Ws2Uud36cPky9PTg6aloNfPiYrRpg6QkrucrJ4SnTp1qr6PThqgV0WqGEc+dy73t7t279fTmSILQNDR8//c/aa4Ap0/D1rZqSZuTJ2Fjg7g45Ob+m5qaeuXKlYMHwedj82bF7pz7nplQiJEj0aED1DMbqQdZWRAIOPq8yH+/mZkwN6/pO9AE6NkT36mzamRWFkxNkZ1dLaF+/37Y2ys68nxvKSmBhQXHsUaNhHqJFl5Qy3J1vfhPCKuTnw8vLyQlFRYW2unozCIazzAtTE25X2vbtmeGjKWAMQkh7V/afaDkHStCXl5eZPfugfb2y4YPh6YmOnRQopMpU7iU5n2HckIoEok+7NDhQx4vxNh4dbNmcHbG6NEcUxsvXSrS1OxgbDyOx+s0Zcr/Y+8846K6vq+/5w4MTVBgCr0JKqggTUFALBhFUWIhdowl2DFoFDumitEYYtRfbFGDYoJRY+8VY4/GFuw9CioqShunrOfFACJMudNQ83++H1/g5d5zzxlmZt1zzt5rz09Lg4cH/PyQlobyyOziYnh714zzefQI0dGPzcyC6tSZbmXVqU6d73Wodq2V04pcjrFjERz87n0zbt2K+vXBwlxY83i7dq06v8zLy9PqedFI/P47Gjc27tJ0SgrGjQNqOMtMnox27f4TfjEa2bwZrVuzPLemxdq2be+iFhpSCO/du7dt27b774h5XBXYCqFcjp49MWIEgDVr1vRiGMUKZyjDXGeXCHrkCIRCbN5c8Ntvv7X13VZWVwjjp5RE+PhM53COErUl+q1tWx1a2LEDbm7QyqJZx6hRAMCVK1cePnyIU6fg4IAmTdC1KzQV2r15E87OyM6WnDhx4k5F0IdMhpycctOsiAicif607CPldmKLF//MMPMVs0lHR3Ux36rQwXszLQ2+vjh27NaKFSuMFyWrNcOHIyFB41kaxvvbb2jSRCE4L1++9Lax8WcYZ4b58a0mVBYXw8PjDYdYg1NQADu78qijakIolaJdO3z1lRHv/q7Qrx/7QHSlXqPbt0MkwvHjhu6YHuglhB999FFaWpri5wMHDlhYWBCRmZnZRo3R97ULWyGcORORkRCLARzLyYkgkhAVE/kTlTo7Y/589VcfPQqh8PXn8Pff8Y3HYoSFGTuO0NXERE4Eog1EndntYCt48ODBoEEpHToMFgpPHTmi3U31EcLX3LgBb28EBKB5c+Tnqzrr8WM0bIgfVYedl5UhZ86xp5bOXvUK4uKwalV1b9GNGzdaW48nAtFDH58IHXqqmwn1p5+e53KDuNz5dnax//vfCh1aMDylpfD3x6pV6s9SN97CQri4VJqOjxw2bDqHA6J8Ig8ez4A91ZaJE6GTr6oWzJiBTz4p//nAgQOrV6+uWrklLw/Oztizx7h9eMuUlsLWVs2ntSpSqfTIkSN3796t+asdOyAS4dgxQ3dPV3QXQolEYmZmtqvCeDgsLMzf3z8nJ2fw4MFubm7vVAY6KyHctAnOzuUGUYWFcHP7ytTUlWFcuNwpgwahf3+Ym4PHQ7dubzjvVnDmDEQibNv2+ohUCh9v+fOQdix3lXUmhM//hSifqAuH86VaJ/hq+PlFczh/EJ2oUyc0T9mg1GAYIQSQl4egIAQGwtNTaaG/4mKEh6PicUsFZWXw88P69c+fY9UqxMXB3h4DBmDz5vJlV6lU2qVLokAQ4uISlJOjS9kI3YRwzJhpRNuJQPTC15ftapLRuXgRAoH67T114x02rGqG/oBevRYQgaiUyJ3LNWA3teLKFQgExi1oV1QEobC8SGFQUAeGacHhxNvY+FRdE96/H05O74jNnIGRy+VLFywYGBT0U8OGagq3VVJaWtq0aWs+f5BAED13rpIZ5M6d75AW6i6E+fn5RKRYM8zPz2cYZs2aNQAePHhARDffJUcdzUJ4+fLrdevbt1GvHpydlRQ1WLgQLi7gcODrW3UvSqGCNUvP/vgjRn1wFfb2Kmua6Y9Mli8QJJib+1hYfKzNLp9YLBYKWyriW+vWnbJTyxpJBhNCAC9fomNHBAZCKKxW3EgqRXw8hg7V1MKECejdu+qBf/9FRgYiIsp97g8elLRv30sgCHNw8N+794AOfdRNCOfNW2hunk4EoiM+Pr3fofjKBQsQHAzViZYqx3v8eLWPxr1WrQKJkjicFkQLTEzelptk27Yal2z0Zc4c9OoFAMXFxQzjRSQnAofTd+nSpVVPS0tD69b/wc3CJfPnf2JtfZFopJnZQrWp9Ao2btxoZTWdCESvHB2Vh3nv2gU+HwcPGrqv2qO7ED59+pSILl26BGDlypUcDkcxq1DYsb9DmyIahbCwEL6+WL4cAM6e1WxOffYsYmPB5cLGBikpF0+XikRQ6mxcXAyhEE8+m4W2bY0VZR4bizp1NO6xKcXePopoJ9F5obD5Ay2fpQ0phADEYvTtC19fxRar4phcjkGDEBenKZjmxAmIRKrWai5fxowZcHD4nWEmEYHoUf36WqweV6KbEJaVlXXs2NfBIdjXt11o6O2YGFbJ+7VEfDwmqDS9VD5esRiNG79RVT02FmZmT/fvnz9/fs6hQwgMhKVl7WthVhaaNmUZdKUjZWVwdi53IBKLxQzjRiQhAlHvOXPe+PDLZPjgA0yfbsTOvBUGdOjwDxGIrhP1YhEss3XrVhsbxX5EsUikMt9JoYUHDhighyUlJePGpUVG9li4cJm21+q1R+js7JySkvL8+fPIyMigoPKhXrlyhYhuszAd0MjGjRsTExNHjx6dq6J+3j///DN69OjExMRNap0i1QmhTIbOnfHppwCwdStMTBAby6pzL18iJUVa105G3HzfaFUV/qZMQfJICYKCjJJ3/PPPYBjdSsR+/jnq17/brdvImJi+R45o3YKBhRCAXI7UVHh6QihUFIafOhVhYZokXixGkybKH0OqsHz5ChOT7xUPpwwTEh+PjAycP6/Fw4n+1ZIlEqSlwdHxnali+PQp3N3fWM2vgvLxfvEFOncu/1kmQ1AQLC2rv/PDw2FhUb6AWCu8eAEXF6NX/128+A3Xek/PRA7Hm2Ga2dp2EAiQlvbG7Do/H66uhi1E/fb58dtvU3i8e0QTrKzmffmlxvMlEknr1t0Fgg+srZvZ269Tsyh28OAb0RU6M3ToZ2Zmc4hu163bb926DZovqIJeQrhixQqGYYiIYZj1FQbv3333nUAg0N978LfffhOJRKtXr545c6a9vX3NTayHDx/a2dl9/vnnq1evFolE69apdBtRJ4STJyMyEq9eYelScLla2RNfuwYXF+wfvxUBAeBw4OKC2bMBbNu2rXNk5Jjhw8VicV4e7Ozw7ODfamYtOnL7NkxMMHmyDpfOm4cGDfTaUDG8ECrIyICDAzw8LrRN9vGWa37Bpk5F164aW3369KmHR0i9ep/x+TEzZy7KzkZyMoKDIRAgLg7p6Th9WoMo6iaEUql02LCJrq7B7dv3efToEYB9++DkhNTUd2Pp7NAhODoqnaUqGe/VqxAIyqupSiRo2BBWVsonfwobQmU7vsYgJQVDhhj3FlIpfHxep8zv3g1XV1y69O+5c+cA3LqFDh3g7/9GqvjRoxCJ2HiQvTdIS0vn1q0b7+//bVoa+1SZmzdvFhcXL1sGd3eo2S7buxdCIQ4d0rFvZWXYvx92dlFExUQg2tew4YRFi3DiBEpLWbWgb/rE+fPnV61ada6Ko+ratWvXrl3L6uZqCQkJ+bmi1FvXrl2//vrraid8+eWX8fHxip+XL1/evHlzVU2pFMING+DhgUePMHkyGAYsHnMquXMHnp5VMtDv3kX//jAzu2Rm5svhrCMaTRTh4wNg0CB89RUwYQL69GHfvgZkMjg5IThYh0vnz4e3t777+cYSQgC//15WT5hr2vRl90QNGWEKo0t2q43FxcV79+698ua388OHyM5GUhI8PSESISEBixcr38/VTQh/+ulnS8sJRHKG+SM+vtxbNT8fHTsiOtq47idsmTwZHTvWfAqoPl65HO3ale/CicWoXx/16ql7koqMrB0tvHgRQqHRvU6zACjUIgAAIABJREFUshAeXv7zs2dwd8e+fdXTJ7Kz4eCA5OTXhb9mzUJY2Dvpt6cba9ZA++ysyvSJJUvg4aHS8hDA4cMQibSr0nbjBhYvRkICbG0RHIygoCk83kyii9bWPT79dGtyMiIiYGUFPz+F/SVyclSuML2jCfWvXr1iGOZGxXfSvHnzunSp7tvZuXPn7yvylq5fv84wjKrnFOVCeO4c+HycPo0+fcDlIiuLfffu3oWXFxYurPELiWRU48aVFmtuXC6ACxcgEqH0aQm8vbUtAqCS7t1hZcWy2F5Vli+Hu7u6tyNLjCeEx46hp90+ST0+wsLQrp1KgxaJBEFBWL3aUPf9999yUXR1haNjuSjeuQOxWOziEsww7mZmHjtqOJi/eoX793HyJDZvxpIl+PxzjByJ+HiEh8PdHVzulIoyCCUNG0ZVXlVp/1YzwKq2kUgQHo6MjGqHqwvh8uUIDYVUipcv4ewMgUBz2mmrVjAzgzGLDsjlaN0aP/1kvDuUExiI7dvLf+7Vq7ymWTUhBFBQgKQkeHmVZ1DI5YiPx8SJRu9eLdG8ObZs0faiqnmEGRnw9lb3/JeTA5EI6su/5ue//px6eSEpCdnZ5W9GsVg8c+acDh0GZGb+Wnn+q1e4eBGrVkGNLubk/OnpGXbggGZnZhNVlevv37+/bNmyS5culZaWbt26lYi2bt1qbW0dHR3NpvC9Kh49eiSXy+3t7RX/FQgEDx8+rHZOXl5e5Ql8Pl8ul+fn5zs7Oytt8NSpU927d1f8LBQKv5s61aJbt1fffmuanMw9dap0+3ZZy5ZUVMSub5zYWIvBg6WJia9qXuHQu/e2GTMGAmeJbLncoqIiDw/y97dY8Svz8Y8/mg8ZUhIaChsbdi+Dckx+/dX8jz9Kd+yQEbHss4I1a0y+/tps+/ZSPl+uzXVKKCsr43K5pqamerVSg8uXmQ8/tFi2KvyVYCu3Z0+5hwenZcvS9etR48/KmzWLEQjK4uO1egXUYGNDsbEUG0vffUeXLzOHD3O3b+dOnsyVy8c9f96KaJ5YfCE+fsiIEW0fPWLy8zl5eZzHjznPn3MEAjg6QiiUi0RwcED9+oiKglAIBwfcudOuf//pT58WczibIiO7FFXp6pAhFBDAHTTIbNs22VdfiXk8gwziNa9evbp//76rq6vGvxGzZIlFmzalISHygIDKg8XFxRwOR/Ezp6DAcsqU0vXr5ffvWwUHk4lJ8blzxONpeOW3bbOIjeWGhpYcPChv2lTvASlhzRqTwkJe794lBnoLKGfXLhOplBcZWVJURFlZJufO8RYsKCkqIsUcQiaTVZ7J49F339Hu3dwhQ8wjImTp6eIFCygy0iIw8FVcnNSIXTQ+3D//NCsoKGnVStuPW0lJiVwuV7yXhgyhsjLT6GjTHTtKHR1R8+RmzWjlSm6fPuaDB/929er+li2bfvJJIpfLLSmho0e5Bw6Y7N/PvX+fEx0ta9tWNmaMzMNDXnmtol/jxw+v+O/rfrq7k7s7Kb7+xWK6eJH5+2/u2bPMihXcq1cZb2/5zZufFhdvkkj4msejVB5PnjxZr149W1tbf39/Z2dnxcFZs2Y1atRIo7Sqp6CggIgeVSx5LF26tFWrVtXOiYyMXLasPDpIkcvxtIrJZFUyMzNbt279WwXbt2yRd+ggHz8ejRrBykp26ZKMNQ8fyvz88M03cjXndI2KcjUx8WeYazY28pUrZTLZ7t3yRo0glcrkgwfLR45kfzslPHgAHk8+apS212Vny52ccPGiXjevpLi4uKyszDBtVXDnjszdHWvWVLy216+jQQN5u3bw9JRV6/fZsxAIZHfuGLYDNZFIZM2bxxNlVQTaNJk9W75ypXznTvm5c7KHDzW3cPLkyUmTvpwyZZObG2qe//SprEcPeUgIrl41ZLdzc3MDnZ17C4WBLi5XrlzReL78t9/g4yMrLKw88vz589e/7dtXPnGiLC8PtrZwd5cVF7PvibxjR/B4stOnteo/G549kzk74+hRgzdcnchIrF0rl8lkd+7IRCKcOVN+/NWrV0VFRUoveflSNnGi3MkJK1fKjx2TiUS4ft3o/TQq8vh4+cKFOlz44sULqVRa9cjcufIGDXD/vspLvvxyE4fzIdEJC4uU1q2/bttWXqcOWrXCF1/Ijx6VvXqlQy9UUlIiO3FCZm0dRIQtWzTv2ysXwqCgoDZt2jx//vzAgQOVQnjhwgUiytcvMEQul1taWp6uKGA1ffr0PjU22Hr16jWjwrX51KlTVlZWqiJ0qi+NjhuH1q0hEsHeXquIkUeP0KQJ653E/fvh6goXF0ViRmAgduwAnj+Hq6teTvUeHjoUeV+/Ho6ObCtLsMHgS6OFhQgIqGGX/OQJwsMRFQWR6PVOukSCkBBU7B8bm/3793M4rkQZRDFt2/bQuZ20NEREKMncUyyTCgQwxMZ6OUk9ehwmAtEhohEsDNUAIDHxtWlK1aXRXbvg4YF//oG1Nfz8dMlR6NQJPB7OnNH6QrWMGqUwQzQuhw6hfn1IpZDJ0KbNG+WWai6NVuPPP+Hnh7g4zJiB0FBtbfDx5Zez3NzCOnZMMFIxKS24eRMCQXW7JnYotVj79ls0bKhyc3/gwBQixfv3ub19uy1bdNgC0o4+fUaamw/65RfNS6Mq8wiPHDkC4ODBg5VC+OLFCyI6o/f7vn///mPHjgVQUlLSqFGj33//HUBxcXFWVpbi/Zedne3r66v4OTk5OTExUVVTbwjh6tVwcYG1NerX1yr97tkzBAdDm3oJQOfOmDIFrq6YP/+XXxATAwDYvBkNG7INZqpGnz4wN9fOFbTCzUhjEXatMKwQisVo165866U6RUWIjUV4OASCfVOm9P/gg3EhIY+iomqt+k9WVhaH05AohaiHn1+0zu3I5ejWDSkpyn/711/w9saAAbplhFbnk7Cwo0QgyiEaxuOhd2+sXKnUEek1RUVo2LBSjcuFsKQE9etj0SJYWMDfX3ezwLg48HgGLMz6118QCmvD07xjRyjS5WfPRlTUG7G+GoUQwKtXSE+HUIjGjZ/WrdvbzMwrOvpDGYuXccmSJRxOc6KjHM503UwBDcmYMZgyRbdLlQohgLQ0NG2q/C/488+ZdeokEeXzeN8NG1YbW6zt2n3E4w3dtOmaxjOVCKFi004RL1pVCO/cuUNE58+f17Nz165dc3V1bdOmTcOGDbt06aIIhLl79y4RKXy9JRJJ586dGzVq1KZNGzc3NzW+2K+F8OxZ2NrC1FRbC9DnzxEaqvJbTCW5uRAIcPYs6teXzv3e1bXisbh7d10SbjduBMOoSvxSxe7dRqkBZkAhlMmQkIDevVX/QSQSDBlytUGDCIY5T7SOqHOzZga5NRtat+5KlE0EIrmJias+Tb14AV9frFyp8rd9+8LPTz+f9gcPMGDAJTe3QHv7gUJhoJNT7pEjyM7GgAGwtYWfH1JTsWePck+Z06chFCoiqcqFcOJEdO4Mc3OEhenRJwBAly4wNTXIG1EmQ3h4bawI/P03XFxQVoaLF5XkQrARQgUXLsDMLIJoCVEh0aDWrSd9/z1mzMCYMejfH507o1UrBAfD1xcuLhAIULcuuNypROsV7zou18Mow2PJs2ewtS1Pm9EeVUIIYOpUNGum5KleLpd/9dW8oKDYUaMmFxvkwVATAkEIETZs0GlpVCaTCQSCWbNmATh06FClEM6ePdvKyqpM24UAZZSUlBw+fPjs2bOVR6RS6e3btyuNTOVy+dmzZw8fPlyqdoJVLoRPnkAkApdbzY5LI0VFiIpCcrIOIwBGjEBKCu7ehY/P4fZflJsCP3wIgUC7xaL8fJiZYdgwrW6ekwOhEDpUHdKIAYVw7Fi0aaNp4UguX9Wt26yKcFy/OnUMcms2TJs2g+gjojKirTxeBz0/mLm5EArVzc5XrQKfXzOKkwVyOVatgkiE1FSUlRUXF1+4cOGNb2qpFKdPIz0dERGwtkZMDDIyUFHKo5zZsxEZCan0xYsXOH8ednYwNdUhaF458fEwMdE9WayCJUvQsmVtrAgkJGDePJSVwd9fSQFL9kIIgMfzJCoiAtF+DmdkvXoQCuHmBl9fhIaidWt06YL+/fHpp5g5EwsWICHhOw6nK1E+0S9E/b28DBZvrjWzZ0P1YptG1AghgNRUBAVBRWhHbfDsGaZOBZfbiuivPXs0L/sr3yP85ptvzMzMvvrqqxUrVjg6Ol66dGnGjBk8Hi81NdXQHdaLzMzM+jY2lxwcwOGUm8iw4OzZs126DOrZc0RY2M0hQ3T94D16BD4fV6/i4UOZX5MfLFLLrdiXLi2PR2dJ/fpo0ECrO//5J4RCw3gX1cRQQvjNN2jaVImra00WLVoUSHSOKJvI3dRU/1uz5OhR8HjdTExcBYLA2Ng7gYH6OogpklfVLOv98w/8/TFgAObOXRIT0/fLL7/TnL98/jzCwxEZiUua9zkA4PHj8iB0J6fyIPTNm1FWBpkM7dsH1KnjxDCrzczAMOjWTYuxaaRPHz21sKAADg6o8mxsLK5fh0Cg8I9C9+5KTtBKCJs3jyUaQZTD4UR98823bC7p0WOghYVP/frhJ0/e6dYNXC5EIrxpa6ovFy5c2Lhxo7p3l0QCNzd99nfVCyGASZMQGKjtbo8BKC4ud+9ISMC+fVcjI7vl5GiOoVAuhDKZbNy4cSYmr5MrOBzOxx9/LFZt5vtWyMzM3EjUhOgCa4V+/vy5g0MQ0QmivXXqhEqlejx/zpqFHj0AID//X77/wRYTAUAuR9u2mDePVQtDh8LMTKstkePHwee/Tn4yOAYRwjVr4OXFNlxpx44dPaysBhB9SuQvFOp5a5YUF6NBA6xb9zp4ZPFi8Pn4/Xe9mv3sM7Rvr+4pqLQUMTGZDPMx0WVLy0lTp85SeWpJCdLSIBQiI0OXPTyZrHyaGBODunURE+NuYtKdaBtRO6J+1tZaN6iRfv1+5HDcOBwXhhnKMpCnCp98ouvajJYMGYKZM3H4MFxc8OSJkhO0EkKxWNyr12BPz5ZffFHdGIQlhYVISoKpKWxsMG2abm28Qd++wxnGl2G6mJu7FagSoqwstGmjz100CiGAiRMRFqYyYdjgvHqFxYvh7Iy4OFTu4Mn0T6i/c+fOypUr09PTf/rpp3/++ccgfTUsmZmZIJpA9PHHH7O8ZP36E5aWIxVLcSJRJ72CYEtK4O6uiBS9c+bJOZMg8agUyOW4dg18vjrfIQVbt4JhtFoZOX0aIhFqJH8bEv2FcO9eODqqsmhVglQq7dW+fTuhMMDS8ncvL8NElWhi5Ego3jJVE8xPnYKnJ5KTdTcNkUrRoYOGr7OEhBFEJ4lAlCcQdF61Crm5NZYl9u6Ftzd699YQCMOSggIsXepKlE8EouNEbirypvTh+vXr/hyOhOgVUQOGUVqsThWnTsHRkdX6gZ7cuwdbW9y4AXd3lU+TWgmhoSguxuDB4PFQpw6mTdM9ekksBsN4EpURgcOZPnasinWyFi0qTfB1g40QyuUYPRrh4dDb0FcDMhmys+HtjZiY6pFbBhDCd5/MzMynRP5EWZrsYxQF7WJiYGf33MIiiOgk0T4Pj1B9rVNXr0bz5oqvsUHdnz/wCEdSEmQyzJ6toTDFs2ewsMDAgexvdf48HByg1oTcAOgshEuXZnp5hTVo0N7W9owObuGPHz8Wl5Whf38kJBh7m0hhKanYwKjmtPLkCTp2RKtWuvu1FhTAywuq/XGxbNkv1tZDiK6bm0/p2PHrAQPg5wcbG0REIDkZm5Y/Lv0oEZ6eBpj1l5Zi925MnIjAQNSr50y0hEhGlErkYGamb+M1OHjwYHuGUez1tmWYHHapRFeuXFm/fmNIiMRwVkLq+PRTjB+PPn3UzT7fihAqkEgwfjwsLGBujlGj1FTTeo1Mhl27MGoUAgNhYwMOB0TNKpw5pyYmKrMsPnwYPj561hVnI4QA5HKMHImICCNmSuzZg2bNEBam3N1bLyG8ffv2DRXo2WnDkpmZ6cPhdFU9x5dKsWdPeWBdXByys/HqFc6cORMX93GvXiMMUFtRLkdoqMLF7dQp+LkXydu0Rb9+KC1FcLDKOEIAvr5w1SJS8fJlODsbMiNNFboJ4dWrV/n8NkTFRDcEglDdby8Wo3Vrw6wQqaDSUlJBTa9RuRzp6XBw0L0i+dmzEApVburJ5fKMjJ+ioz/6/PM5lS/18+fIycEf/bILzByXWCR7O7yMi0NaGvbsqT5DvnDhws8//3xRTepopVFjvXoIDq6MJt22bZsTkSORE4fz0AhVo2QymVedOqM5nE+JgkxN2eQSDBs2jmEacDgJDBP68KEh5r5qefIE9vZYsgS+vlCjdG9RCCtZuBAiEUxM0K0bRo6cbmrqxuN5zJ1bXgn8zBlMm4boaIhEYBgwDEQiREdj2jRcvYqRIycwjBfDtOJyQxmmTEliWLduymwktYOlEAKQyzF8OCIjDa+FR46gVSs0bozsbJXn6CWEIpFIKyeat4Wa6hMXLyI1FUIhgoORkaF8M8AwHD0KV1fFB6tVK6xbVYz27dG7d3lVX6VLWykpMDVl4818/fr13bt3nz1b6OKiJLzNGBw+fPiKJktlsRhXrmDbNsyfj7Fj0bkzXF13Ek1VLDgLheF67SU/eQIfnyqu5wamT583wqpUmW4rKpKnpen43JyZiYYN8fw56wtu3MAHH6BZM0UegsIfVWGiWKfOaxPFjIyd9vaRXO5Me/uWO3dWEeq8vPIYGWfn10aNypYa9S87pYbS0tKZM2d+1727lGGgaWlULAaX61URcjln4EAjV5oAZsxA374QCjXkerwLQqhg4ULY2f1LFEL0nCiPqIFAIGYYcLlwcEC7dvjyS+X+5w8ePDh+/DiABQtgYoJmzaps1OmRRF+Vixcvsn8vyeVISkJUFIqK8PDhQ6neJVpOnkRcHDw8sHixhsBEvYRw8+bN2VVYvnx5YmJi3bp1F+r9HGFYagrhvXvIyEBAANzdkZpaW5VEu3VT1GnatAkhIUBZGbp2RZcumDChvPR1VfbvB8NgzRqNrS5fvprPj7axSTUxCZw9W7+iEuzgcFyIvIlczczKM5zKynDjBvbsweLFSE5GTAy8vGBuDi8vxMQgKQnp6cjOxoEDzxwdAzmcNebm6VFRH+rbj+vX4eSkwaNXJzZsQKNGb8wG1HyY791Dy5bo0kXHKPARIxAfz2KVVyIpd6BJT1f6mS4rw/Hj+OEH9OsHC4t4AYmiSSQgka9H1wNT9zxITJUEBIPPL3cT12S7rpUQBgS043JdLS2992r7t2jQAEHVS7ZKJNi2DcOHV13EU3zFg+jLwYOTtLuFlrx4AYEArVrhm280nPnuCCGAX3/9lcPpo3jE5HBihg69rG2k582bcHGBhUWFEXxysm4l3ioRi8U8nhuRH5FzfHw/llfJZPjoo8eWluFCYWdn58Bz2pi2l5WVzZgx+4MP+q9cmZWbi4QEuLggI4OVp4/h9whnzZoVHR3N/vxaIDMzk8drOHZsamEhfv4ZrVuDz8eoUTh2rHb7ceMG+Hzk5clkaNAAhw4BYjG6d0dsLBo1wsaNr88sLISlpRJ1VIa3d4TieZnD+eWrr+Yaq/MV9OkzlKgVEYikRH5BQc8dHGBhgSZNEB+PceOwaBF27cL168rduO7fv5+Wlr5o0VL1qZ9sOXwYQqF+KejVefBAiQWBemGQSJCaCnd3nDih9e1evUJUlPKv3c0bN36amLh6xQr56dMICkLnziwL3IV6NVRYVB0kGsZhzgvbzXdOb23zV11rmb8/PvwQKSmYPx9btuDSpeqrfxcuXOByXYkcLSw8XrJYpUpO/pwokUhOdMbCohGb0ObRo1NNTFxNTNy+GTQSDCPLXrd3L8aMQUgI6tUDhwNTU7i5IS4O33+P+/eRmprGMB4M05phPOLjCwyRoqySOXMQGIiICM2ZTe+UEL58+dLERLG9+725uZvO7SQmgmEw9KNC2NvrnERf0VQiURIRiF4QObO/cPz4zzkchbvvhQYNeq5ejexsZGdj1y7s2YP9+3H6NE6fxoULuHEDN24gLw9Pn+LpU4wcOdnc/HOiSzxez7p1t8ydq25luxqGF0KF+cs7tU2YmZnJ4TwiCq9T53q3bti4kdX2slEYO1ZR+/d//6soKCuVon9/hIbCyen1IlVAAJzZvnV8fGKIbhPBzGzOwoVaLBWWlJQsWLA4LS39vrLVV5kMd+5g/34sXYpJk5CQgKAgWFuDYcYQfViR2t5s7txjb7mu3tq18PIyVNFjuRydOiEtrfpxNjOkjRshEumSC//vv3B2rl65fmN29of16uUQfcLjzbexwapVbJu7eHGwq6vCYu0I0aDKmvLAs2c4cwbr12PuXIwcWf4AZm4OR0e0bIl+/TBtGkxM6hMtInpF9JmNzYfjx2PAAHTqhLAw+PnB1RX29rCygqmpYq4GogyiFQoPFKIgxRuDYWBqCktL2NnB2RkNGiA4GG3aoHt39O2bx+E0InpJ9ILIb71p90Ky4ZnInJ3RoQNmz1au9fn5+ceOHSspkSUkoF07Y4UXlpVBKES9erim2Wzr3RJCAFevXu3QoXu3bn1q1jDXih07MMX023UWA/RZJzt2DPb2s4nSKp6YtRDC0aOncDibiUB0Wyjs0q8fEhKQkID27RETgzZtEByM4GA0bgwvL3h5QSiErS1sbUEURVSiKMz78cfaebMZXggVptsXDPqQrieZmZlEIJrUu/est1wZ/OlTCIW4eLGkBCIRLl8GAEilGDgQjo73ExLS09OvDB8OExOWy7X798PO7pSdXTOhMKJlyy5aTbMiIrqam8/mcFY7OQWePPl861b88AOSk9G5Mxo1gpkZXFwQHY3Bg/H11xg1Ch4e4HDg4lJE5ECUQNSeqPnEibXm+qma6dMRGmqQhIqffkJQkJK8CJZLhVeuoGlTXSxDjxyBg8MbqTQjunU7oUieIOocGMiqlZwcxMVBJLo4cmSgSPSxQBDo5KQxo0kux61bWL4cQ4eieXMQuVVJoOjn7IyGDdG8OT74AH36YOxYfPMNVq7E3r24ehUSCfbv388wHkSrOJz+AQExAF6+RG4udu/GL79g9myMH4/ERHTpgqgoBATA0fEMUc+KRbwunww6IrOwwujRanp48+bN8PCubm6h06fPlskwYgSCggz15PMGCxeibl225m3vmhAaDIlE7uo2LOgkl4sa1dA1XorZs+HiAg4H3t5PidyJBhKFenlpYdF369YtJ6dm9vajhcKQffsOsL/wk08mmJl9S3TLxqbvunUbtOq5IaNGL1++vG3btpCQkHr16r1TOfWZmZkczgaGcQ0IuO7khAkTDFmHQWu++w5dugBIS6vimCaXZ7drF0A0niiIaAW7WvYbN0IgwO7dAKCtKd+NG2Ibm5YVE7vJLi67Y2MxejS+/x6bNuHSpXJX8AcP0L8/LCxgaorY2PItd7FYHBER0aVLfMuWcHZGQoL+e+r6IZcbJKFCER+g9L3Bfs+spASDB8PXF9qm1P74I/z9UVwMPHmCGTN+srL6zMSkiGgejzd1zBh1V8pk2LwZLVrA2xsZGYr1oOLi4vPnz6t6V7x4gZyc8g3dykCbhASkpaFuXT+ij4h2E0VGRsaw6fnBgwc7deo+bdoMNiGgEonEzMyVKJ1olrm5m0wmw8qV4HLVRM2EhMQSnSCS1K3bf/fu3QDS0+HlxWrexpJ27RK4XFeicB+f31he8p8VwrVr0bo1gDlzwOUiIIBVGOeFC4iNhYkJLC3Rvz/y8xVGy8+TksauYr+YUUFRUdHRo0efaBm7WFJS8tlnn0dF9Vy0aLm2dzR81KiTk9MW7QsZG5XMzExHR7+DBw8CyM3F5MlwcUFICObPrw0D++qIxfDxwZ49jx6hXr3X4aItXFz+JALRJSJ/OzuNzSxYACcn7bymSkuxaxfGjUPjxhAIYGkZTHSTqIjPb11zKXvbNoSFlYdcz55dPSpSkT6hSIZr0wb+/pqNAYyLWIw2bfRJqJDJ0KqVyoVNbaMoV62CUIjsbBQXFx8/fvwxu/fZp33y1jdNA5+PAQOkly59MXFiq0aNPvvkE5VfuC9fIiMD7u6IiEB2duW+Vn5+vr9/W4EgOCCgnaKo59OnyMlBRgYU+Yjm5krqdCuQSCTNmoWZmXl07Bin1ZDZk5+fn5g4eNCgoa9fFm9vhKpMp3F2DqmYQa5IT1+gOLhoEZyd8fffBujPr7/+yjCtiSREd9n7qv9nhbBFi8o05NxciESwslIXkZaZCS8vcDjw8nojtq9zZ3z3nRbpE28XQ0aNbtiw4eTJk4YJgjAoNaNGZTLk5CApSeEqhezs2t01XLcOAQGQyZKSMHNm+bFoP78NClNeohBNG4Tp6ahfn+0Tcc2EsZwchbXWX/7+MV5eYT///Pr9W1iIlBTY2YHLRVgYjh9X3mZlHuHff4PPx5QpemXUGQb9EipmzULbtiqzIHRIJ/jrL7i53atTJ9DefqRAELp9+y51Z9+4geRkuT1/rTB5+ecsghTy8pCWBj4fcXE1g74GDUphmD+IwOGsd3H5TCQCn4/27TFxIrKykJurORLEqOkTSrh0CQyD9etr/ubxY4hE40xMUojWmZuHCIXXVq4sn/mvWwehUH8TbwwZMpNoRsXuZn3Nzq4A/qtCeORItSR6mQz9+4NhMGwYli9f3rFj9yVLlgC4exf9+8PcHDweYmOr7+Ts2wcvL5SV/d8QwvcFNXmEJSXIzlZYySApSa+KudoRGYmVK69cgUhUHtp04cIFVx6vKcO4mJr+qdpzRSrFsGEICXljj+T+/fuHDx+u+rEsKsKePUhOhocHHBwwYICShDGJRDJt2rThw4c/ePAAwN695VNAOzukpGgomFg1oX79enh4YPNmODkhPV3rV8KQ6JpQobTOTlV0E4bk5C+I1hGB6GFAwAfKTzp3DgMGwM78yS3gAAAgAElEQVQOqal48uT2bTg4qP1yP38eSUng85GUVC07rKQEu3bhs89gY5NIdJ4IRGdDQj7WIfqvtoUQQM+eqFu32pPItWto0ABjxkhXrcqaNu2b3Nzc06cREYHgYCg+IgcOQCBQZ9CjnuvXERYGDqeAqBHRIqJkB4cAltf+N4WwRw8sWFDz8B9/wMQkmyiaaDWHE2lnt4TDgYuLIh2sOjIZgoLKn2r+vxC+Q6gRwkru3kV6Ory94euLtDTcvo316zc3aBDp7x/z559GSLM4cQIuLigqiot7Yw6j3tS0rAw9e1aPmlu9OpvPb2lnl+zmFnToUF4V/2Skp+P0aZUbZyKRP4czguhrhvESCF4wDMLCcPAgq+5Xc5aZNAlRUbh5EyEh6NtXi6hlw3P4MAQCrRIqxGIEBGiIytRNGGbMSOdyFRGV162tO2/c+Ob3fEVsC9LSqibV790LJyfcuwe5XJ6Xl/d6401xvoMD0tIq7fqrmmZbWZXP+L/77hCf39zS8hs+P/TQIV0e7t6CEIrFsLCo6mJw5AicnJTYLsnlyM6GuzsSEnD3Ls6fh6ur1gsB+fmIjQXDwNcXZ87g0qVLPXv2HT/+M/bBDf9BIbx1C3y+qi1Be/tgogtEILpiatrm6lWVzVStk/WfFcLt27e3YoEx+6w1bIRQgVyOw4cxeDDq1cvn8VoQPSW66+jYTH+PAyX07o0vvjhwAA0asPIlefYMUVHo1696TKOPTwTRCyIQrRQK540bh127NMznABQXFzNMw4pgmfGRkcu0cjaqJoQyGeLikJyM0lIkJiIwsHqdu1pFy4SKSZMQH6/hHN2E4enTp40aRYhEnZ2cAufNO92yJby8kJGB0j05iImBp2dlbEs1Zs9GUNDD5vW9O4lEQS4uud9/j+bN4eNTef6DB1i1CgkJsLdXbhFz69at33///Ta7vENDjVdf/vc/cLmKbfMVKyASKbeFVFBUhLQ02NsjLQ25ufDxAcvSMi9flq/1ubjoZcbwHxTCsWMxaZKqX4aEdCBaQASixU2bqixR+fIlnJxep+H+Z4Vwz549nVhgzD5rDXshrOTw4ZPW1iMUOmFlFfvXX48M361bt2BvjwcPmjfX7PD+4AECApCcrEQy69dvS3SfCDze9/Pn/4/lzQsLQdSIqIBIyuFEbNbSY76m1+iLF/DzK6+XlpEBkchYpRBZwTqh4uhRODhoKN4gk8kOHDhQqFOdGJlMdubMmfJvTJns2rzNN+xDL3GbZrZfde+Wyr0ouRzB3qN/Jw6IThH1t7PD9u0vX8j37EFqKoKDIRSWW8QY6YHj7QghAC8vhIWlpcHLi1XY7fXrSEiAtzeWLEFgIEaPVvdMWVqKpCSYmMDOTp3tJEv+a0JYWAh7ezWxu/n5+UKhP5frKhA0faDabH7KlDdqBLwvQlhYWMjGPuK/vzRajZKSEje3YIbJNDVdJBC0FgrLY2oMPDOcMAFDh2ZlQb0Vzz//wN1dSZY3gJ07Ua/e0Xr1AkSimODg9iyTKE6eRJ06sLZez+W6MYxLmzY9tO24UtPty5chEpXH1+zYYfg6olpQmVChdq5dVAQfHw3FBfPy8tzMzaMYxpVh5s2Zo1UvCgoKWjZs2FUkaubgcDItDY0aISICmzffvCFPTYVAgIQElYaWncKjdxOB6DKRt41naChsbNCpE+bNM6yRjnLelhC+OnNBzmFSGm3TKk1w3z40aYLWrREeju7dlSyHyGRISQGPBzs7dRb3WvFfE8I5c9C/v55t3LsHe/s3Hs7eCyFcs3x5kEBwjUWw3/85IQTw8OHD6dNnpadnFBYWlpUhOxstW8LbG+nphvPmfvECTk7Ss+fd3VXGZ544AQcHLFum5FdLlsDBAUeOQCqVPmXtdDlvHrhcxMbqVV9FVfWJnTvh7FzuE37tGho3RlLSW/LxKStDZCSmTFFzyrBhGDxYQzP9evT4nghEj4gCuFykp7P/N6tdu5UMA6IbRJ3r1q0WA1NYiIwMuLoqxLH6Vm7Hjn0aEW8wWbkSX2AffvBgrb6Mb0UICwrQqhVOOH0oZ5E+VA2JBIsXQySCjw9atcK2bYeGDx/+xx9/AJg9GxYWqFMHcw3qP/ifEkKpFJ6eGlzGWdC3b/Xn9fdCCAMdHUuJJCxCJU1q5gtW8ujRo5s3bxYVFVU9GBMTo+aS9wIHB4cvvphU+d+EBEpIoL/+oiVLyMeH4uJo3Dhq1ky/e1hb0+TJ3PGfJifvy8igtWur/37PHhowgH7+mTp1euM4QJ9/TllZdPgw+fgQEdfW1lbj3eRyioujXbvo229p/Hj9eq6CDh1oxAjq2ZMOHiRvbzp+nBITqW1b+v13cnAwyh1VYmZGGzdSeDh5e9OgQTV/v2cP7d5Nf/+t4vJbt2j/ftq/X7J1qwUREfGIANCzZ+y7ICkqspTLiciCSOLhQa1aVf2tjQ2NHUsjRtCmTfTVVzR+PI0aRUlJZGFBRPRJcz//XX80wRKO+elPP7GPjmZ/2/eS69cpLo46dKCQHWs5fDuaMIHmzGF/uYkJJSVRz540cyb99NPOzp2nEvVfvPgrHq+IqN/IkTR3LjGM8br/nvP77+TmRqGh+rRx8iQdOkRLlhiqT7XFoUN4+tSEiHPvnuaTlcpjfn5+u3bt2J//ttBtRqiGZ8+QkQEPDwQHY/Fi/YIkJRL4+ZVs3Glvj2pJ7b/8ApEINTMpSkvRqxciIrRzA7h/H05OqFtXuxx8VaipRyiXo1cvJCa+/m96Olxd9X/c1AkVCRXPnsHNrUYsRmWVIi8viESKXbir+/c7m5j0YpgGDDN1/Hitbn7//v0gV9dhfH6IULh3l9o8wjdjSB8/Bnr23B3btUmTduPGTdOtBrI+1PKM8MABiERVFi0XLoSJic4uao6O4UQKd4o7PF4LdmmBWvOfmhGGheGPP/RsIzISK1ZUP/juzgjlcmzejJYt4eX1Y5cu0Xz+LZ2XRuPj4x0cHNasWRMXFzd48OCdO3cmJyfXq1cvs3Zq4rHG4EKoQCbDnj3lAe2pqSwLAyhj0yb4+k4cJ0lJeX0sIwOensjNrX7ukyeIiMBHH2mOC61KVhZMTREQYBA/TkBTYd6SEgQH48cfXx/ZsgVCoZLPSW2gLKGiVy+Ui9qLF6gMQbGxUZp08vLly+XLl+fW/GOwoKSk5NSpUwUV2Q4auXoVycloYfPPczM7N7sAG5tpAkGL3bsNX2pKPbUphKtWKQsQ9fBAy5a6NdiiRSzRYiIQbXNx0aP+s1r+O0L455/w9NQz/OG339CsmZLdlndRCF+9wqpVaNwYzZph1SrFwO/cufNMWWHOaigRQplMZmFhsWbNGgAff/zxlIrNmIyMjMaNG79TgzeSEFZy7RoUsQ8xMdi0Sdanz0iRKKh+/ZZ//cW6JlhMzLNvl9jZPd6wYffDh3kTJqBxYyVVUK5dg48PkpO189RMSgLDoKrK6o/GCvW3b8PR8Y1vt8uX0agRAgK+FAoDXFyCtmzZacgOqUWWlTW8Tp1m9vbNPTxOnTyZvaJosNseyfhUBAfD2vq1+KneNa3lGVJpj34ZjpFEB4hAdKNFi+61eXfU1njlcqgMED13DgyDHTt0aPbBgwc2Ng0YxtPS0uusQRZAlPHfEcKePd94aNUesRj16ys3lnq3hLCoCBkZcHMr35avgu4J9Xl5eUR0+fJlAMOGDRtd4R9fUFBARFfV5FvWOsYWQgVFRVi8GB4efzBMMhGIbvr5tWZ78dmzr+ztheb+5uaTzMyCGzfOqRmPU335iAXPnqFRI/B4mtMztEWjEAI4fBgODm+s9x4+fM7UNJ5ITvTM0bGZgfukms2bNyfzeCC6SxRlblHEqfMitC2+/BJ//qm8amINalUIr1+HUDhp1CQuV1GVLcfE5OPISKSn155ZvFHHm539h6dnC0/PsFattoSFqV4B7dIF9vbG64ae/EeEUG0SPUvS0/GhijLb74oQPnmCtDQIBIiLUxqXyFIIlewy16tXj8PhFBYWEpGzs/Ply5cVx0tLS4mopKREx63L9xYrK0pKookT84n8iIjI/e7dotxcdhc3a3bMmj+mLKisbJZY/ItI9D97+zd+v3o19e5NWVk0cCDb/hw/Ti4uVFZG9+5Rly7sx2EwoqJo0iTq3p2Ki8uPiMWPrKwaEnGI6kmlZhKJpHZ68jg/v4FcTkTORPlyq/nTH1uf3EfTplHLlmSiLhDs7fD11zRq1IQvJvj5LREKI+vXn5CbO2PWLHr2jLp3J09PGjaMtmwhsfht91MnXrx4MWrUl7du7b51a+eJE2lbthQJhSpOzc6m4mKaPLlW+/d/huNHj4Z5eQU2bjzO0RFWVjq38/gxzZ1Ls2cbsGsGJS+PZs4kX1+6eZMOH6YtW6hFC91bUyqPTZo0WbBgAYBTp05xudzZs2fv2bOnY8eOdevW1bYqkFGpnRmhgn///dfJqRmPN7du3Z5t2nzj4lJeGEDjxOOzvsOHk6kjOdtSm/j4N4L6MzLg5YVLl7ToRloaGAaxsdoPgB1sZoQKhg5F9+7la7nFxcXe3i0sLL40N0+ytU1infGhL3l5eY0Fgi+4Jh14lj4OqTqEntTejPDOHfD5qHhpalrY37iBjAzExMDGBgp/PtXJzbpjpPFevowJE66amvZRWFWIRB9dV193c8ECfaJmjMr7PiNs6e19nwhESTY2uzRFcqlhxIiqvnjVqeUZ4dWrV//4449yo8pr15CcDD4fyclK9pneRC+v0dWrV2dU1K1JTk7mcDhEZGVl9euvv2rXfSNTm0II4PHjx6tXrz569CgAsbjc1NvZuSIaUAUzJ0z4gsORE33P4YwdNEhxUCJBUhJCQzVYn1RFJisvDLZkib4DUQN7ISwrQ4sWmDWr/L9FRUXZ2dl79+6dMEEeFgad3Fq05vLly/b2wUTTOJzhHTp8okMLtSeEw4dj6lQ2Jz55guxsDBgAW1sEByMt7Y0Qn9u3b2/cuPGOrsYzBhyvwg01LQ1+fhAK0b+/1MUlgsebx+PNbdy4leYShm5uiIoyVGcMyPsuhMGOjnIiEH3P4/2ifclABf/8A4FAXV51bQrhuqysVvb2n9ep08zO7nJ8fLkrL7vHbUOabj9+/PjkyZPPq9gHvyPUshAq5a+/kJQEW1sMGKC8iNqQrl3/JgLRbaIekZEAXrxAx4748EMtQj2vXAGfj3r1jG4+wl4IATx8CFdXVCtSKZdj5EhEROi5PcGKRYt+YpglilmIs3OIDi3UkhA+eAB7ezzSzs9PIkFODlJT0agR3N2RlIRZsw7z+c2trL4UCEIPHz6iQ0f0H29JSXn9E0dH+PmVF/9SfCW+fPly0aIlixcvK2JT0FkRNaPHlMVIvO9COH3w4D4czmweL9DFhWW9zJp07KiyhKeC2hTCdk2aFBCBaCvRtDZttEpr00sI7yscRN553gUhVJCfj/R0uLsjOBirVr1hn/3HunWdbG23EvXkcFalpt6/X24uqjGq+ezZs7a2fiYmLl5ePU1M5GFhtWFBopUQAjh2DHx+9dXdWtPCVav+ZJiuRIUczq6wsC46tFBLQpicjM8+06eBCxcwaxZsbQcSnVOUYerceZAO7Wg13uTkaS4uIcHBHa9fv/74cbkbeL16iIhAenq1UlG6cDMqqjfDeFtYDNPbA8yAvO9CiJ49c4YOzcrKYm9KVY29e1G/voZvm9oUwp7R0X8RgWgBj/fdV19pda2+FeqDg4MXL1781ix62fHuCKECmQybNyMmBo6OSE1F5ePE3j17ZqSkbJs5U8J3aOV07YcfWLVma+tHtIdISpQUFvaN8bpdFW2FEMCqVWjYsHpNRLkcw4cjMtKIWrhtGwQCDBq03Nc3Oi5u4L///qtDI7XxDs/Lg50ddOpeNT7++FMOZxMROJwNQ4ZoZwKggP14t27damMzlEhG9JeVVaytLXr1wtq11f/Q+uBrY7OJKJ+oLYfzv/+xtZU3Nu+3EObkwM1Nn7RiqRRNm2rOwq9NIbyyb184lxtqbx8XHq5tkIpeQrh48eKQkBDFvmBiYuL+/fs1r/i/DXQWwjt37uSx353TntxcJCfD1hYJCdi581l4eJxIFOzt3WGc9XcvXHxZrm6bmLgSyYhAtD4iorPxelsVHYQQwOjRaNPmcUbGorVrf62sAy6XY9gwREWBzTqZtmRkwMXFAKY2tSGEEyYgOdkgLeXl5TVp0prPDzU1bbNxoy6RJuzHO2/ejxzOSiIQyQWCEGOsRrhxuYpqYSuJPlIVp1/rvMdCKJMhOFj3csYAgP/9D61ZZIfVarBMQgK+/lo3DTLAHmFubm5aWpq7uzsRubi4pKamXrt2TYeuGA/dhLBHj6FCYSeBoNWECV8ao1eVFBTg229hYzONw/mFCESbYmPHICUF0dFsVjmbNu1INIJoI8P4ZutfXYYduglhQUGhmVkQh7PIymrKBx/0rjwukyExEe3bG7Kir0SCESPg72+YQkVGF8InT2BnZ9iiSjKZbNcueHpCh76zH+/169ctLAKJVllbfzJmDKswH20Jcnb+hugwUQjRekXh83eA91gIf/oJERHauXK8yYsXcHLC6dOaz6w9ITx2DC4uOs9xDRYsI5VKt2/f3rt3b3Nzcw6Ho1tvjIQOQvjPP/8IBD0Vz7n29i1Y7errR7duSUQniUB0NTr6I8hk6NYNgzRv8ISGSuvWXdCiRcdaU0HoKoS7du2ysZmsCFoRCsOrVgOXStG/Pz74QDvrOFUUFKBNG3TqpIsGKMXoQjh1KoYNM0bDgwfr0jD78V66BHv769Onz9u0abORvvIKCgp6tm/fRiQ6yOHgnXHqeF+FsLCQrYipJjVVc9kWBbUnhBER+OUXna82ZNTohQsXxo8fLxQKVeUdvi10EMJLly7Z2SUovrI5nBYRES/T040binn48BE+vzmP9729fcSWLTsAoKQELVrg66/VXLVjBxgG584ZsWNK0U0Ic3Nz+fwPiMRED+rWDar2W6kUffuiQwd9tfDaNTRsqLyIsc4YVwifP4dAgJs3jdF2YSE8PLB9u3ZXsR/vBx9g4UKte6UjTZogMLC2bqaB91UIU1L0fOS6dQu2tmoq+L5BLQmhKqtT1hhACB8/fvzDDz8EBQURkY2NzZAhQ3JYFHaqTXQQQokEdnaD6tSJEwjajB37ucKWuVEjiEQYMADZ2QabalTlxo0bq1evvlI1zO7hQ3h4YPVqVZfw+ehe2z6UgK5CCGDOnEUuLsH160d5e/9ZU6ukUvTpg9hYlJXp2LG9eyEQYNEiHS9XhXGF8Isv2Ez9dWbfPjg7g7XvN8B6vOvWoXFjli51hiA3FwyD3btr637qeC+F8No18Pl4+FC3q0tKSi5dutSzZ8nnn7O9pDaEUCyGt3fNCjNaoZcQbtmy5cMPP+TxeAzDtGvXLjMz850ylKlEByEcPx5C4VmGceRyHceMmVx5vKqvh8Kr+fJlQ3e3GpculZffrUFKCszMDFZQQit0FsJKnj1DVBT69UO1ZqRS9OqFbt2qH2fD0qXK6hgYAiMKYVERRCIDJBmoZcwY7cqPsxlvSQk8PXHggM6d0onYWDg51e4tlfNeCmGnTvjuO90uvXz5spNToK1tIpcbePo0W5ur2hDCOXMQH69nG/qmT7i5uaWmpt6oVknPcDx8+PDKlSt6vpTaCuHWrXBwEDNMayIJURHDuNUU+KIibN6MpCQ4OcHLC8nJ2LOnPLRly5btH3zQ/9NPpxcayjflwAE4OlbbHXn0CCYmYJliYXD0F0IAZWXo0QMxMdWn169eIT4e3btroYVSKVJT4e1trOcSIwphejqMn9tTXIwGDbSIE2Qz3pkz0asXAOzatatDh26ffTaxNoLGnz2DiQkWLDD6jTTx/gnh7t3w9tZ5seWjj0YQHSIC0bH4+CEsrzK6ED59CqFQO/9JZeglhKdPnzbeIGUy2ZAhQ4RCYaNGjQICAh7WmM7L5fKOHTsKBAIiOqJswlSJVkJ4967Cmmc3h1PuiEjU1tPzwejRyl9thYNUejoiImBtjaiov6ys2hJdMDFZ0rFjP5Y31cyyZahfv6rnSFgYPD0N1ry2GEQIAUil+OQThIZWN58Ti9G1K3r2ZLXs9vIlunZFu3Ys8010wVhCWFoKJyej+wABAI4dg4MDW68+jeO9exd8Pm7fxt69exnGk2g1hzO4SZM2BuioRkaNgoVFLS7IKuc9E0KJBI0bY9s2nRvo3XtkRV2wIx9+OJTlVUYXwuRkVBQ+0gdDBssYlm3btnl4eCiKJQ4YMGDEiBE1z8nKyrp69aqtra2hhPDVK4SHY+5cXLlSTNSCaDqHM7JOnab9+8PFBRwOTE3h64uUFOVOxw8eoE+fhUQ/6+PmpZKJExEVpXig270bDGOYWvO6YSghREVROl/f6rkDYjHi4pCQoOEb7/59BAVh6FBdllLZYywh/P579OxplJaVMXkyunZldabG8SYk4IsvACA+vhfRCkV8NZfrpncfWSCTwdoao0bVxr1U854J4bx5iInRp4Fz565xuYG2tn2cnQMvs154Ma4QXr8OPl8LI2bV6CuEW7duHTp0aGxsbMyb6N+zAQMGTJo0SfHzn3/+aWtrq+pMOzs7QwnhZ5+hc2c8fYq6ddG4cdH48ePT0tIqo/zFYmRmIjYWdnYggqUlwsKwcOEb39SnTp2ys2tPdJXol+bNeyu/jW7I5ejbF717Qy4XCPRfFdcLAwqhgh9+gLMzzp9/46BYjM6d0auXSp+548fh5IT0dAN2RDlGEcKyMjg76xnIrhViMfz9WQWZqx9vTg7c3cs3p9PS0ogGEsmITjFMeC3tWC9ZAi5XnYe98XmfhLCgAEKhntUsU1MxcOCrK1euiLUxTTCuEH74Ib791iAt6SWEKSkpROTs7BwdHW1wIYyKilq6dKniZ0URYFVbbmyEsFOnTqcruKBiJWrbNri5IS8Pzs5wc9MwEcnPx+zZCAuDpSUYBi4u6N8fhw5BJpO5uPgTuTFMmJ3dQ0MYZlWhtBTh4bsjZr6tGJkqHTGwEAJYvRpCYfWooJIStGuHgQOVhEZnZ0MgwKZNhu2FcowihAsXoosuxqf68PffEAg0J+6rGa9UCn9/bNhQ/t+uXcEwE7hcV0vLhnz+BSsr1FLMuJOTEcuMseB9EsJhw5CSok8DiqmXDgW/jCiEhw7B09MweceshVBJ8VKZTPbTTz+NHDly/vz5XC5XhxqHFy9enD9/fs3js2bNsre3LyoqMjc3VxyxsLAgopcvX9rY2OhwIyI6d+7cJ598ovjZycnp119/rXbCv/9yBg+2XL26rE0bs5ISzj//FJeVqWvQ0pJGjqSRI4mIzp5lli/nHTzIzcriEG2Uy0OIlsnll1+8+K1799Hbt5fyeLr1WgnPF631DGq/PsFVLv+oqMhgzWpLWVkZl8s1NTU1YJvx8WRjw+3e3XzRorIOHWSVx7Oy6KOPLAYOlC9cKGYYIiKAMjJ4S5aYbthQ2qyZvBZeh+LiYkWVMYMhkVjOni3++WdZ7f4V69en4cN5H3/M3bSpVM2A1Ix38WJTW1uT9u1Li4ro229527bx9uyZ2bz5DCKSy6l/f2l0tMnUqa8mTnxlpCEo4C5fbtGpU8nJk3I/P6PeSBWKr06ZTKb51LcKk5trsWFDyV9/QY932qhR5ikpMmtribZtlJSUyOVyA392iAiwHDfu1YwZUqmUDPEJksvlZmZmbO5bHcUs7bQeCzv37t1broyXL18C6Nix4/z58xVn3rp1i2EYVYqt/9KoRIKICMyZg7ZtYWmpe6VTmQwtWw4jWlyxZeKekIDhw3VsTSmRkWjrlAuhEPv2GbJdLTHGjFDByZNwcMDy5W8cLC5G69Zo23ZDSEjnuLhBPXrca9FC52woXTD8jHDZMnToYOA22SGRoEULqDevVjXeggKIROUr2Js3g2FQsWrzmvnzweWiNqqgBAaiSRMj30Ml782MsH17DX9sTezaBR8fHaNNjTUjzMxE8+b6uMRVQ/elUalUKhKJNhltZWrKlCl9+vRR/Lx27Vp/f39VZ+ovhBMmoFMnJCbC1FRfl5bjx48zjCvRT0SJtrbDCwvRpAl++kmvNivZvx8Mg9OngUOH4OBg/BxGlRhPCAH88w/c3asv/p86dcnUtA3RPaK9trbtDbQiwhYDC6FUCh8fHD5syDa14fJl8Pnq3MpUjXf48PJy5FevwtQUyiLYACA3F/b2sLU1cjzszZtgGM0VEIzD+yGEelseiMVo2FBrZ6JKjCKEpaVwdzfsErxee4RZWVn+/v63bt0yYIcquXXrlo2NzdKlS/ft2+fl5bVs2TLF8S5duqyucFrJzs5evHixlZXVxIkTFy9erGoTUb0Qbt8ONzd89hkYBjt2GKDnJ0+e7NWrv5/fLC8vjBqFGzfg4IBDhwzQslCIuLiK/6xYAS8v5OtSW0B/jCqEAP79F/7+SE5+/cy3du1aM7O5inBckcig4bgsMLAQ/vILK+t+YzJvHlq2VBmFpHS8Z8/CwQHPnuH/sXfmcTXlbxz/nNueSuu9t31HiSRSYmzZRtmzDDG27Ov8aCyjGEwYJhNmsoeGyZYsIWML2feQLYWRJdK+3fv8/rghabnLubfL9H55eV3nnvN8n5Pu/Zzv9/ss2dmkr09t2lRlv7CQ2rQhVVUZZyPV0b078XjyHKBSvgAhLCggBwcZC/GEhsoUlycXIVy0iPVYa5mE0N/fn8vlqquru7q6sh4sQ0SnT5/u06dPp06dIiIiPhycP3/+8ffVLIKDgwPL8KISVahCCJ88IT6fZs4kDofWrGHF61Lu3iUul9zdacoUOnKEzM3pyROZDM6c+VkdmTlzyMOjRsJm5C2ERPTmDXl705AhpXkRKSkpJiYewAk1tYhvvlF0WTk2hVAgIBcXGStCseJF27b0668Vv1vh/bZpU7oQWr8+mR4EmfAAACAASURBVJuLVdkxOJg4HOralc26r5+QnU1qarR4sXysV8UXIIQLFlCfPrIYSE8nExOZ6pyzL4QvX1azmiEVYgohQ0Sfbxz269fv7du3Fe4pxsfHy7Z5ySZbt26Ni4uLiooqd7ykBO3awckJGzYgJARz5rA8bkAArKxw+DB8faGtje3bcfo0tLWlMfXmDXg8zJuHWbPKHCXCkCEoLMT27RCFkSgKeQTLfE5eHvz9oaKCv/+GlhYuXbq0YsUWKyteUNAEqcOmpCM7O1tXV5cdW9HR+O03JCayY60SCgsLU1NTbWxs1CuP1Hr8GM2b4/hxuLiUf+vz+922DUuX4uJFdO2KM2eQmgpjY7E8OX8ePj7Q0cG5c7C2lvhGqud//8Pq1cjKgmoFMX3yQ/TVKYrjU0bS09GoERIT4eAgtY0hQ2BlhQULpPciNzdXW1ubzWCZsWOhrY1ly1gzCAAQCoUCgaD6LzR25VfBVDYjnDGDvL1JVZVGiFswSDJSUsjEhJKTqWFDWrSIBg6UrN5jWb75hiwtK3qjsPB2ixatDA2bcrlD/fyKFVVuQwEzQhHFxTR8OLVoQa9fK2C0SmFtRigUUuPG0m+5iMfdu3fNzd243O/Mzd3uVfnsHBFBbm4V1CIod7+5uWRtTadOUVAQqahI3Oj43TtydSU1NRl7wVaOnh6NFLfWCVso+4wwIIBmy9Qe8uxZsrCg7GyZvGB5RnjnDpmYyOO7QHkry7BIhUJ48CCZm5OmJnWTZ1P3UaNo5kxKT6cGDWjRImrWjH77TWIjJ04Qw9CZMxW/+62bWxJAwFwtrU3loi3lhsKEkIiEQpoxg5yd6eHDgmPHjiXJXFdQClgTwj17yM2NxWi3CunTJxBIAAg42a9fJQEt7/n2W/q8mUC5+509mwIC6K+/iMOhTZuk9Gr8eOJwKCCAiIjlqqQbNpCKioL3y5VaCC9dIlNTkqHWsUBAHh4UFSWrIywLYbdu0nyBioGsQpiYmNi/f38XFxdnZ2fRkbCwsPWK+joWk8+F8MkT4vFIT0/u0dfPnpXWAHryhOzsaOFC4vMlDsnh8apKHfa0tS0ACNjOMItDQmR0WEwUKYQilizJUVPz0tObamzcbdasXxQ5NLEohM2b05497JiqhNRUsrMbBZwBCEiwsRlddUWRZ8+Iyy0/ySt7vw8fkrExHT1Kqqo0ebJMvsXFkaYmaWuHcDgWHI6Fn99QmcyVxcqK2rdnzZoYKK8QCoXk7U2RkbLYWLOGWrZk4YGNTSE8dozs7KTv0FYlMglhbGysqqpqo0aNunfvbm5uLjr4xx9/WFpaKqgrsXiUE0JR1mDdutWXj2GFyZNLI84fPCALCwoKIj6fHjwQ9/KFC0lNrapnu1VLl/oaGi5TUWmipvbw/n0WPBYDxQvh7t27NTRCAAIEfH75pr7yhh0hPHiQGjaUW9wIPXxIkyaRsTENHnybx3PjcoeYmrrNmnXXwoK8vSk2ttILo6LIyemTGh1l77dHD5o7l+rUoU6dWHDy7Nn7gDtQAhRzOPUfP37MglEiSkhQcPld5RXCyEhyd5fl10zUxP7iRRZ8YU0IBQJyd6ddu1gwVbF5GYTQzs5u8ODBAoHg+PHjH4QwOTkZwNOnT9l0UzbKCWFQEOnqkoGBLCsHEiCKchI1dE5OJnNz+v57atyYcnKqv/bdO1JXL61uXAUXL16M2ro1vUULhbWnUbwQxsfH6+uPBQh4x+O5K3JoYksIW7Wiv/9mwc5n3LxJAQHE41FwcGkD3ry8vFu3buXn5xNRYSFFRlLDhtSkCUVGVvzw5+9PM2Z8/OeH+z16lOztycKC7O3ZcfXEiRMcjo8oDYbDaXemshV/KfDwoAYNWLNWHUoqhLm5ZGUlY47dlCmslQFhTQg3bCAvL/ntKUgvhC9evABw+fJlIjpx4sQHIczJyYFsFWdYp6wQHjxImpqkoUFsPYmKw48/0ujRpa9v3CA+nzp1ot69q/9vbdeO3v9cxSA5mYyNSW69IcuieCEUCoU9ew4zMfHU12+sr39A0ngNGWFBCP/5hxo0YH06ePUq+fuXSmBmZlVnCoUUH0++vmRjQ6Gh5U9+9YrMzD5mu4rut7iYXFyoYUPS1WXtqVEgEOjpOTDMSGCMikordoyKePyYOBz5TRrKoWxCmHDypF+LFn2srK59zDWWhtu3ictlrZ45O0KYl0eWlpVGSbCB9EL48uXLD4JXVgjv3bsH4Pbt2+w6KgsfhPDJE9LWJlVVWcvHSMrbt8TlflwOvXqVeLzSUNIqSEwkDkfCZ7tffqH27eUdi0E1IYQi8vLyBALBwYPE49H584oblwUhbNtWrL4PYpOQQL6+ZG1NYWEk0RfylSsUEECGhjRpEpVduNm7l+zsSqMERfe7bBlZW5Oqqux9Tz+huLh48eLFQUFhKiqC91UUWaJvX6q8TQ27KJUQZmZmuvN4D4GbgBuPV1JZoQQx6NyZwsNZc4wdIQwJofdVxuSETEujtra2kydPJqKTJ09+EMLJkyebmJjI8j/BOiIhLC4mKytiGHbKx0hKSAgNGfLxn2fPkrExcbm0b1+ll/D51LGjhMMUF1OzZrRxo1Q+SkBNCeEHFKyFsgrh2bNkZ8fWjnRCAnXoQHZ2FBYmfejAo0c0aRIZGFBAwEedGzq0tM1fVlbWixekqyvfKdbs2aSmJn1p3wrIzycNDVq4kD2LlaJUQnjlypVRRkaiNuJ+PN4zabve7NolY0W28rAghOnpZGwsQVSFVMgkhJs3bwYwaNCgkJAQLpe7c+dOf39/ACtWrGDbT5nYsmVL3759u3UjhqEyNWoUSnY28fmfPFknJJCBAdWtW/Hj9qJFpKZGb99KPtL162RiQnLeo61xISTFaqHUQlhUVJSUlJTVoQO9rxEoNUIhxcaShwe5uFS61ScpmZkUFkbm5uTrS/HxlJlJ1tYUF0dHjhzp0YMYhubMYWGUKqhXj5ycWLUoqsAk/1q0SiWEec+eNVVX3wdEczieDg7SaU9+Ptna0rFjbDrGghCOGEFBQSy5Uymypk+sXbvWxMTkQ969jo5OaGioUoWMEtGWLVuAlsCY941+a4bFi8nf/5MjR45Q3bpkbV1+wyY7m9TVSfpUiDlz5N3oThmEkBSohdIJ4fPnz5vZ2AQYGDRVUTkZHy/p5fv2HRg2bNrmzdtKSoTR0eTsTE2aUHQ0+yvfBQUUGUlOTuTuTo0bTwN4gCvg3aRJIssjfcaLF6SmRnPnsmrU0PCT5Rf5oERC+Pw5NWr0aMyYGaNHz5k8+bm0bVnmzaN+/dj1TGYhvH6d+Pxqdr/ZgIWE+sLCwsTExN27d584cSJbxjoE8mHLli0AAT3nfZ45rEByc8nMjK5c+eTgnj2krU1t234SRdGxI/H5MoxUUEANG8qtjAeR0gghKUoLpRPCBTNn/sUwBDwBuri5SXTtzp0x+vrdgROamsONjFa2bUuSK6lkCAS0axcBlsA5gIC/OBxT+Q5JREQrV5KKCiUns2dx+/bdDNPGxmZiYCDLmftlUBYhTE0lR8cKaiJIyJMnZGxMrDdQkFUIO3VSTCT8f6WyDEBA4Lhx42rWk/DwCgrZbN1KGhr0wTVpYmQ+59w54vPp5UvZrFSK8gghEcXFEY9H587JcQjphHDh7NlbGYaAx0BXdwlSPgQCatNmDHAeICDdwUGOnQtfv6b4eFq6lL77jpydCbACHgIE/MMwFvIbtyweHpJER1fHzB9+6AacBL5jmEGyhVBWgVIIYUoK2duzUmylXz/ZxbQCZBLCgwepfv0KCgDKAek71AM4depUUVEFfaj19PRsbGy4XK7ktU/lx1gOJ/bnn5Nq1onAQCxfjsREeHl9PDhoEDIzMWUKOJzEkpLNO3aMaNu2WatWso3UogUGDMD//ofISNkMfQF06YJNm9CjB/buRYsWNe1NGUa1bu3L4ezX17+nphYeFlbt+UIhEhKwcyd270ZWlh0QDbgAfwkE2UVFqLx6dgVkZGQkJSU1bNjQyMio3Fupqbh6Fdeulf797h2aNEGTJujUCTNmoF8/vXv3OgPdgJ0DB7aR6H6lJj4ePB7GjMGff7Jg7djff4cDzYF6RO2PHWPBonJy9y46d8ZPP2HkSBktnT6Nc+ewcSMrbrHA31u3Ht6+vcnly+P++ENVzpX9JaNCeeTxeFVc4u3t/UDOoT5ismXLlkaNGinJsu3atdShQwXHO3XaAHgAvwEtZ8xYwMJIublkb19VQREZUKoZoQi5zgulmRG+eEGWlsU7dty7dy+3ylZZAgElJNCkSWRqSs7OFBxMd+7QwIETgFFAa2C0uno3NTWqW5fq1ydvb+rZkwIDac4cWrGCoqLo6FG6cYP+/fdj+MyFCxd5vKaGhlO5XLcLFy7fukVbt9IPP1CHDmRoSGZm9O23NHs27dhBDx5UsOO4aNEiR0fHKNkLTUpCTAxxOOykig3q3n0KkAcsB6YD1K6dPLKGa3hGKGoOKXXh1zKUlJCrq7xig6WYEe7ZscO/bt3rwI8czs9lqzzIE5mWRnfv3m1kZDRu3Li4uLiLFy/GxsZ+99135ubme/fuXb16tZmZmZOTkzLkUVTboV6RlJRQ/fr0zz/lj5uZNQcuAgTc19dvxM5gx46RtTWx21SWiJRSCEluWjhgwEhtbUcHh5YS1AMrKaGOHasOAikpKa9/d+9+fPfo0TMqKi04nNWGhu23bdtJRBkZdOcOnTpFu3fT6tU0bx5NnEgDBlDbtuTiQjwecThkbExOTmRoOAy4BBBwQVV1pKMj9etHv/xChw5RerpY7rPciFg8unalunVZiIYtLCzs5O5uo67uXa/e6/37ycmJGIY8PdkNwa9JIRTV1N65kxVj4eFyrNIqhRBODQg4BRCQCXSQdzFoIiJ68uRJz57Dz5+/U+2ZFQuhl5fXkiVLyh0cO3asSHUuXrwIIEHWzS4WUCohJKKtW8nDo/yTuJubD7AJIGCPra0na4ONHEly2BlVTiEkOWjhokWhDNMVeA5s4vFcxb3sf/8jH58KG8AXF9ORIzRqFJmYUPPmtHhxxbWA/vc/6tbt7vr166+KXT9TKKQXLygpiTp0GM8wRwBimEP9+08U1+cy1IgQFheTvj717CkH02fOkKsrMQy5utLNm6yYrDEhTEggExOKiZHd0vHjx//4Y4uJyesbN2Q3VjGSCaFAQNHRf5mYDFdReQqEamjMVEhUR+PGHRgm/ty56nNyKxDCjIwMAHfLPsQSEVFcXFzdunVFr01NTTezWk1DOpRNCAUCcnWlAwc+OZiWlqar68jh2Gpr27PZaejdO7Ky+lg7iyWUVgiJ6MAB4nLZiSMtKaFGjfyAHQABQqCpqyt16UIBATRtGi1dSpGRdPAgXblCT59SYeH7y2JiyNqaXr3Kz8/v0KEfl9vU2blNcvLDuDgaMYKMjalFC1q6tKoIvcRE4vGkbyuUmppqa9ucx/Oxt/d48uSJFBZqRAiJ6ORJ4nDk1p8jMfGjHMpcnrtmhPD4ceLx6MgR2S1NmDBLX38wh/Orjo7bS7lF1UkghPHx5OpKLVvSyZOrfv3Vz8MjeNq0fDnngxYW0pEjpK3dDKAtW6pfvKxACF+/fg1g//795Y6Hh4fr6emJXltbW0dHR8vurowomxAS0a5d1Lix/PoQfMr+/VSvnmRluKpDmYWQiA4dIh6PEmXIgktKouBgsrYma+u1DOMBnAPmWVm1uXyZDhygTZtoyRKaNo0CAqhzZ2rcmExNSVWVDA2pq33yGzXujz4XJ0ygTp1+V1VdBhBwXk2tn5cXLVtGqanVDF1QQM7OLCS/vHnzRupra0oIiSgggLS0ZO0HWxXnzn2Uw3LJTJJQA0K4fz/xeHT6NCvGTE3dASFAamphkZHymq6IJYRnzlDr1tSwISlKLDIyKDqaAgLIwIDc3cnSsoeq6rpTp6r/na94abRFixbW1tYn3882hELh3r179fX1BwwYQEQvX75UUVG5yEozD9lQQiEUCsnDQ66Zfp8yYACxuu2s5EJI0mphRgZFRJC3N1lY0KRJpTVpf/75F3Pz5h079n1XXeXpVynZBfbOd2es37aNVqwgD4+fgP2i/Q5Hx7Zi+jB9OvXvL5nbrFODQkhEPB61bi3nMW7eJE9PYhhycqJLl44dO9alRYtBvXpliJp3iIGihTA6mrhcFhf9HRy8gScA6euPPMLGFLNCqhHCmzfJ35+srSkiosJ9BHZ5+JDCwsjHh/T0yNeXIiJIVIouMzPzf/8LuXmz+nYFFQthcnKynZ0dAF1dXTs7Oy0tLQBNmzZ98eIFEZ05c2bs2LG1wTKVERdH9esroiEiEdGrV2RqWr77qgwovxCSJFpYUECxseTvT3p65O9PsbHlP5ViCYNQSP36fewzQpSUlMTluqmrLzMy6rh+/VZxfD53TqZFUbaoWSG8c4dUVGjtWvmPlJREnp7pDOME7AAWAU76+mJeqlAhjIoiMzN2ewX88MN5TU1PHs9t1Kj/sWi2HJUKYUoKBQYSj0ehoSz22hUKheWeVkUhaUFB5OREPB4FBFBsbAUDyppQn5ubGxkZ+cMPPwwaNOjHH3/csWNHsYK+2iVAOYWQiNq0YbchQZVERVGjRmU2smTiixBCIjp8uBotvHSJJk0iLpe8vSkiotIVObGEYckScnMrtwT99OnTqKio6+J9hYkqAsmnZaFk1KwQEtHMmaSmJm6Mq4zMHTUqRNQgEWjEMMUrV4rTdEreQigQCNLS0vLz8ykigszM6NYtFo0/f05cLstNRSqkAiF8+ZKCgsjIiIKC2A1ov379url5Ey63nYtLm5SUTNHip74+OTtTUBAlJFRVm/C/UllGOYUwIYFsbNjSJjHo2bP6Jr/i8aUIIb3Xwri4l5GRkR+W8dPSKDSUHB3JyYmCg6uvLFW9MBw/TlwuPXoki6tBQdSjhywGWKPGhZCI7O1JIcHztH//fg+GyQZuAY0ZhrS1iWGobl1q1YoWLqysO4ZchTArK+ubhg178HhNdHWP8/l0/z679vv2pZ9+YtdkxXwihG/elErgpEnyKHrVsmVP4DZADLNeQ2Nxjx60di2JWXi1VghrmI4dFdgQ49kz4vFYCR//goSQiLZt+5fDaaKqulxff0DXrvN8fMjIiAIDJahjV40wPH9OFhZ06JAsTl65Qny+guZA1aIMQpiWRqqqMpSel4SxAQFWamr1dHRKo/9evKBVq6hrVzI0JIYhDQ1ycqLAwA9bdIsXLzZnGCugS5cu7HsjFK6aOzdcRYWAF0BbR0d2zcfFkYODAvpz0NRJkxw0NBqamFxLTKTQUDIxocBAkrZFVLW4unYE0gFimJiJEyWr4y6xEG7fvt3U1DQ8PJyIGjdubFoJkt6DXFFmIbx4kczN2Y3orJKICPLwkH1f+ssSwjVr1nE4qwECBFpazWJjJa5fWJUwFBVRq1b0yy+yeFhQQC4utG2bLDbYRBmEkN7X4753r0adyM+nLVuoVy+ysCCGITU1srMzBXYDZwFrYP369dXaEAgEm9asmTZsWPznYSkFBXTzJu3YQT//TN99R02bUp06Yfr6axmGgLdAK1aFMDeX7OxYyb+ohsjISCfgMrAR6AaQvz+rhdUrICrqAIfTQk9vmplZkxQJy4dLXGvU1tbW39+/QYMGALp3756VlSW/um7/BZo1g7s71qzB5MkKGW/UKOzcid9/x9SpChlPKTAz4+voHMjKApBqY1PHz49V61OmwNAQQUGy2Jg/H3Z2GDCALZ++EsaPx4YNaNsWz57VnBOamhg8GIMHA0BJCfbsubNmjeGjR70AAP0A/VGj8OuvsLODoSEMDCr8ExoWlv7HH31ychbt2cNZtKi9sTGSknD7NpKS8OgRzMzg7IyGDdGmDcaORePGg4uLv/XwSMzOvgnMXbKExbuZNw9eXujYkUWTFbN169bhQFOgKbAQQHS0vEc8derbESOaDBp0380tWE9PTy5jSKnRyoEyzwiJ6MYN4vHkUQetElJSiMuVcdfhy5oRCoXCoUMn83hujo7eV65Ik0ld6QwpKorq1ZOxX5poUVTaLnJyQUlmhET07h1pagqbN1/h5+evDGWqRJgC/wBJgCNw0dCQ1NSIYahOHWrQgDp3ppEjacAA6tyZPDzI0ZGMjdswTA5AwDFgOpdL339PoaEUE0PJyZUFjhcWFl69evX169csun3zJhkbV7bpyTIRERGNgfvALsABoJYt5dpI7MoVMjWVqpM5EdXuESoJ/fvLuLQmIcuWUdu2sjR4/bKEUHYqFobr14nLlTGcr7CQGjUixRa4rh7lEUIisrT0BUYCGzkcayXRwh8cHS0AK8DTw6P00M2bNGcOeXqWxtro6ZGnJy1eTBkZRDSyT5+1DJMDDFdR2bJhg5y8evr06YvKM28EAmrZUoERCURDBwywVVGpp6ub0KYNOTtTvXrk7U2xsay3lhYK6ZtvaN066S3IKoQxMTGtWrUyMDAwf99PbPHixb+x0R+LRZRfCJOTydiYZKgEIiECAXl705o1UhuoFUJ684bs7WVPf5kzh/z8ZLTBPkolhCoqVqIaKMD63r0H1rQ7RIcOkYNDSU5OpVGjjx/T3LnUogXp6opEsbempg/QEvBkmCljx8rDqbYNGzpxOA4cjn+7dhWe8Mcf1KJF+WpWhXKOWS+NGi0poXHjqFEj2rCB3N3J1ZUiI1nMoN+6lZo2lalQl0xCuGnTJgA+Pj7ff//9ByGMjIzkcrnKkEf/AeUXQiL6/nsKDlbgeHfuEJebd++edIW4/utCKBRSz540daqMZq9eJRMTevpURjPso1RCqKVlB9wABEBAiGKiSKsgL4/s7OjgQXHTJ169ouXLXcssjY5UVaVvvqH//Y+OHmWroMbpLVtaMQwBAsCZYV4GB9Nff1FCAqWliU5ITycTE7p27eMlYUuXmquo2HE4Tc3N5Zf8/Un6RFgYWVjQtWsUG0uentSwIUVGyv4TyM0la2tZO5lLL4RCodDMzGzy5MlEdOLEiQ9C+ODBAwCp1VZUVCBfhBA+fkw6Ott79Zqwdm2k9D2dJWFDt25u6uptTExG9e0r6bX/dSEMCSEvLxkzQIuLqWlT2rJFJsfkhFIJ4eHDh7W07Dgce4aZIUamu5yZPZsGDCAJ8wg7u7tPAs4B7RlmdcuW1Lo18fmkqkoMQzo65OxMAwbQqlVln4n6de5so67ubm6eXC7Y8s4dWrOGAgOpVSuysqI6dYhhbjFMn/c1AVoCL+vWJS2tUvsAMUwJR61QrQ4ZGZGlJTk7k6enE8O8AggIZBj5PV6UT6jfsoW4XDpxgogoIYF8fcnWlsLCZEnmmDmThg6V1U/phfD58+cArl27Rp8KYU5ODgBlKDH6gS9CCDdujFJXHwic1dUdsWzZankPJxAIXE1MigACAoyMLkhYfa1GhPDEsWNDu3YNGjOG3QgCcfhEGOLjydxc9nSouXOpWzcZbcgLpRLCD/D51LVrjXpw796HKbxEQpifnz+4V68WlpZzf/zxkzfS0mjlSurXj5ycSEeHGIZUVcnU9E8rq/5ANrAD+EZTs6zmlUbl2NhQmzY0diytX0/37gkEAicjIz+G6cDheNrafjJEcXHChnvf8Y4WRGyiRYto8mQaOJA6dXJiGAFAwFJgkYWFLPXHq6CCyjL//ENc7sdUodOnydeX+HwKDaUq+1dXyIMHZGzMQmqi9EIoasOUmJhInwrhrVu3ANyr4dyfT/gihNDPbzhwHSAg1du7t7yHKy4ubmpiItp4Gc8wp/r0oUuXxL9caiHcvGZNC1vbjq6ulyUZjoju37/f0tj4KvCXioqvJ3v9GsXjozA8fkx8Pp06JaPBa9fIxISkapGkCJRTCE+cIA5HTt/Y4tGhA/3+u+ilXCrLiJpV/vDDWD29ne9bf7kAHzWvyt7C27dv/7wdUF4e2dvTvn3lT+7u7d2Ow/kfYMPhpDs6EsOQqSnNn89u+eOKa43evElWVp9sBV2/TgEBxOdTcDC9fbtn587xAwasXbmy2i02Pz/6rCWuNEicR/gBQ0NDZ2fn1atXt2jRgmGYD1kWixcvtrCwcHBwkEsax9dL69Zu//yzNS/vR4aJLCxsWlIC1Qp+6qyhqqpav2lTr/h4M+ChgUGYuzsGDICaGoYOxdCh4PPlMej9+/c3zZp17PXrdKB/t24Xt25FZiaKipCTg9xcFBYiMxOFhcjLQ3Y2CguRlYX8fBQU4N27S2/f9n7zpgnQRCBYfvUqZswoTb1ycoKOjjy8rYCCAvTpg5kz0bq1LGZKSjBiBJYuhYUFW579J2jTBh4e8PfHgwc1MXxUFN6+xbhxchxCVRUdO6JjxxaNGi0YNsyIaD9g5OyMEyfEubp///6fH1ywAO7u8PUtf3zv6dN///33nTt3zo8bx+VykZmJ+fMRFoZ589C8OZYtQ8uWMt9PJbi4IDER336Lt2/x22/gcNC4MTZvxsOHWLJkv5XVxqKimYWF2/ftW/r8+Y8LFlRmJj4ed+5gxw55ufk5FX8lh4aG9uzZ89mzZ87Ozvn5+eHh4Tt27EhISNiyZcsHaaxFTKZNG5uR8Utc3AAvL89Hj+b4+GD7djnpEQAQUdLVq38JhQXAYqKbXbq4zZyJy5exZg2cnNCsGQIC0LcvtLXZGe/RIyQkPNq2zevNG23ADlB786Y4NFRNXx/q6tDVRZ06UFeHgQHU1VGnDnR1oa6OunWhqQktLdSt2/Tp01V9+3bNyLjL4XCtrGBoiH/+QXg47t4Fl1sqipVLY2Zm5okTJywtLd3d3aW/i/Hj4eiISZNk+lEACxeCx8PQoTKa+S8SEwNzc2zYgOHDFTtwVhaCgrBzJ1RUFDDa0KFDc7Ky5oaH2zVpcnDTJqntJCdj7VpcvVrxu58Ip74+li/H8uU4cAALFqB1a+jrY+hQLFoETU2pHagUMzOcOIFe3jFSgAAAIABJREFUvdC3L6KioKUFAPb2iIg49vr1/3bv9gSccnP7rFz5IwAHB9SrBwcHcLkfDBQVYeJErFgBDQ32vauUyqaK+/btE1WZEWFhYbFF+Xb/v4il0bIIhRQaSpaWdPasvIYoKipqZmIi2l2fzDAneDzq25eWLKETJ+jVK4qOJl/fKipyirU0+vAhRURQQADZ2JCpKfn7p82aZcPhRAELAfs6dST1Of7w4YEdOkwdNqx8stSzZxQfT2FhFBhI3t6ko0OmpuTjQ5MmUUQEJSS8fPTIzcJino5ODyOjpZLH5k4cMcJJV7e/qelbJyfKyZH08nJcv04mJh+i+ZQU5VwaFREYSNraiupf9oFx4+jTtIea6VAvCUIhtWtHq1ZJdfHbtzR1KhkakooKeXqKvgR+Dg72cXUNmTNHfDPV9CMsLKTvviNPT3r16sOxzevWjdHRyQB+U1Wd3r49zZtHgwdTixZkZER6euTuTv370+zZB/tvmu59pmzHsqdPn3bz8Ghqajqqb1+JNm6eP38+/rvv7ooRJ8EQURUyKUrk1NPTc3BwUMK54NatW+Pi4qKiomraEck4cADDhuGHH2Ss3lUp03v0eLx/v7me3g0rq0Oxseo3buDMGZw+jevXYWUFd3c4OOD5cxw9CjU19OuHYcNgbS269tGjR1paWqampp9YLC7G5cs4fRqnTuHMGZiYwMsLTk7g8ZCfj5SUQ4mJh86eNRUIjIB1GhoJM2aoubrC1RV2duBwWLsxoRCPH38sYXX79oZbt/KKiiYQCQDPOnUuDh0KXV2oqEBPDxwO6tYFw0BfHwAMDABAXx8MAz09qKj8FhV1MDh4LdFRYIOJydmXL2VxraQEXl4YNw7DhrFxp3IjOztbV1e3pr2oGKEQBgYYMAAREYoa8tIldO+OpKTSXw8AgGhXSdSEVTlZtw5r1iAxUbZJrGiCeOHCWnX1PQUFE4FwhrEfOjR840Zxrn769CmPx1NTU6v0DCLMm4foaMTFib5eiGjZ/PlHdu928/IKXr5cu+yi1Nu3uH8fDx7kXHtw6Pd7vg0eaD59gJISODjAwWHIpUtDHz3qQLRAQ8No/Pix331XepVoVaksOjoo41Lntm0n3LzZ8exZTU/Pqm+nGiGUEw8ePFi2bFlGRkbnzp2HDx9eTmKzs7Ojo6PPnDlTWFjo4eERGBhY2S/lFyqEAB48QJ8+aNQIERGoU4dV00Tw9Lzao8dbT89vvvlGteyGZEkJkpNx+TIuX8aZM0hKgq0t1NXx6BFcXDB6tP2YMVRQUAwYm5tfvXcP587h1CkcPYqrV2FiAj4fmpooKMCzZ3j1CpaWsLUV/XlWt26f2bM3vX37hGF+NjM7NWwYbtzAjRt4/RoNG8LVFY0bo1EjNG5cKkufUVBQoKGhIenD1t6YmJODBy/PzX0GDODxEubORXY2BAJkZUEoxLt3IEJmJgC8fQsAmZkgwrt3EAq7P3kypLi4LwDASkUlraREqh93KT//jFOncOQIlO9x8ROUWQgBbN2KoUORlgZzc/kPJhTCywsTJ5aWG32PkgthRgZcXHDwINzc2DD3+nUHS8vwggJn4AEwhWH2N2wIIyPw+bC1hbU1HB3RqFHZpcuSkhJ3C4uiV6+ygdFBQT8tWlSV/fBwLF6M2Fg0bSqOO99/DzMzlJp8r47tpkyJffVKFzgCHDcx+cXKqvTsggLk539yfU4Oios//Kt5ZuZFIsHWrSqDBlUzsPjTTLbIysri8/mzZs2KiYmpX7/+59Vq4uLi/Pz81q5dGx0d3bx58549e1Zm6otbGi1Lfj6NGEFOTnT7Nqt2t26lFi3EqnX07h0dO0a//ELdu5OBQYSKijdAQDHQCMhXUSEtLVJRISMj8vKigACaO5c2bqQTJyg19fPiESePH+/Xtu3Y/v3Tyi4OZmZSQgKtXk2jR5OXF+nqkrU1+frSrFn099905w6VlAiFwuG9erUwMWnE5R6IiZHoXgUCwcg+fZqYmDSzsjon4XLzqlWrvBnmBrAE8LCykujacty+TVyusi+KilDmpVER9vakoNjh33+nb775/JOi5EujAQH0P1Y7z/t5e/8MlABLgO/MzKh/f2rThlxcyNSU9PRITU20z0KqqqSrS3z+Fi53LEDAO8BSRaX6AfbsIRMTOnCg2hMvXiQzswp6J69ZsaKHgcE6hmlubHzl8mXxb61bixZRKio5p09Xe2YNCOEff/zh7e0ten3o0CFra2vBpyV0yi49JyUlcTic3ErSUL5oIRQREUHGxrRzJ0vmcnPJykq6HcgJw4b1fp+66wrcDguju3epoIAlz4iISCikBw9o924KCaE+fcjBgbS14x0dx6qriz5XzSwt2RyuOub++KOrsbFvy5YZGRlSGykupubNZSqHqEiUXwhv3iQOR/7thESt3Ct6CFVmITxxgqytKTubTZvv3r1r6eBgoarqZW//trLi1q9e0YkTtGYNzZy51MkpGCCgBLDicMQaIzGR+HxR6cfKit0IBOThQVu3VmwgISFhdXi4pMl7r1+//nHcuHti5OXUgBAOHz78x/fJp7m5uQCeVZ42eejQIUNDw8p2Zb8CISSiS5fI1paCgtgo0RcSQgOlrNmYn5/PZ5hBQBfAUlVVZlfEIzt7d2joPA0NUREpNy5XQeO+R3ZhWLCAOnRgvdqwvFB+ISSizp2Jz5fzGAMG0KxZFb6jtEJYUEANGtDevTXsxosXLyzU1UcxTEsOp1ebNuJe9uDBO3v7zmZmLUxMvBwc7n/WJGfdOmrZkv3PkfR5hLJTXFwsKk9TDj6fr66unp6e7uTkJDqira2tra2dnp5uZmb2+flZWVmTJk2aP39+FVtHZ8+ebd++vei1qalphOL22Vmjfn0cP86MGKHZrh02bSrgcqXctWX+/Vc7PDzv1CnKyZHOws2XL0ePHm1pZLRj+fIcaY1IivewYYvXrct89ep+QUEfHZ2czEz5Jlp+Sm5urixRYMnJnBUrtE6ezMvNrYG9dimQ8X4Vw6ZNsLLSCQ4umj69SB72VU6f1jx7Nm/Figo/KaKvToFAII+hZWHRIvV69Tjt2xco6qNZMdra2hdTU9etW9fZyalz587iflHweCu6dOm7evVIoguvXs0ZPXrd3r0f3szOZn76SXvbtvzcXCG73gqFQg0x8jDk8o2TnJzcvXv3z4/v2rXLzc1NS0uroKBAdEQoFBYWFtapKFwkLy/P19e3ffv246pMdK1Xr9706dNFr7W0tHQUloLNKjo6OHwYP/+Mdu3q/P03qgtxqoSFCzFmTB1nZxnc0ImKilJRUakqGIxtdHR0Tt66dfr0aVMu13nuXEyciM2bFRZzQkRS/M4UFxcHBExKSLiYlWU2d+6fTk4VPMYpJ9Ldr4LR0cGMGVi8WD0oSJ2tfNePFBVh6lSsXFmnTABIWZQtWIaIrl69mp6usW5dwytXoAz/fTo6OlOnTtXW1pbooSq3pMSSCIAlkJWZWfZG5s6Fnx/atGH9PxtCoVCsZxqWJ6JiMGXKlJEjR4pep6amcjicz5dr8vLyOnTo8P333wuq7MDxdSyNlmXfPuLxKCxM8itF/StlLl1cw0W38/LI25vKlW2UJ9ItFYaHR2hpiTZK4rt2DWDdK/nxRSyNijA2pt7yqEg4b17VdpVqaVQoFHbo4G9sPFhdvY+7+/iaducj1eQRVsTt27eb8HjBOjotVVX39e9f5jhxufTyJdsuEpHYS6Ps5XiJjb+//759+0QVTTdt2tSlSxdRPHd8fPzVq1cBFBUV+fv7Gxoarl27lsNiFtqXgK8vTp/Ghg0ICEBeniRXTpmChQuhpycvzxSDlhb27sXevfjtt5p2pVKKi7FvX1p+vhcAwCslJbWGHfpK2bQJMTG4d49Vow8f4vffsWwZq0blSHJy8o0bzOvXW4qKdqal3XorygL6MnFycjpy86b7X39FXbjge+0aVqwQHZ82DbNnw8SkJn1T3GbMB1q2bNmjR48mTZrY2dk9fPgwLi5OdHz58uXNmzd3c3Pbs2fPgQMHrK2t69evL3rr2LFj1u8zvr96HBxw/jzGj4e7+93i4tG5ubmeno137FijWsXO2c6dyMr6Skp7GRnhyBG0agUjIwwZUtPefMKrV9iwAatWwdCwt67umOzsdH39fYGBA2var6+Tbt3QuDF698atW+wZnTwZM2fCxoY9i/JFQ0OjoCALACAkylPknoU8MDEx8fPzA4D4eLRuDVPTPWr90tIwdmxNeyaX6agYPHz48MyZM/llulW9ffs2JyeHiAoLC998SmULpF/f0mhZrKy+BW4CpK09Z8OGyErPKywkBweKj2dlUGXpR3jrFvF4dOiQvMcRc6nw2jUKDCQDAwoIoBs3iIju3Lnz668rTogasH05fEFLo0T06BFxOBQdzZK56GhycaHqfr2Vamn0zz+pTp2ZBgaexsbuP/9cPuW6BpFiabQ8N28Kubxh5ocPH2bJp4qoyahRcbCzs7Ozsyt7RP99zRF1dXV1dfWacEq5UFF5A9QDkJfnkpZW+frbb7+hUSP4+CjOMwXQsCFiYtCrFw4cELMmhTwQCnHgAH7/HUlJCAzEvXswNi59q0GDBmWL8dYiD2xt0b8/Ro5Enz4yl+rLzsa0adi6FV/OpGrVKixbhuvXF3G52SoqKtrsBw7VKC4uG3vELN/SS99oPyBDxXw2+G/twH1ZjB072NCwr6pqGIcT2rZt34pPevkSy5Zh8WLFuqYQPD2xZg18fdneJhKLrCysWAEHB8ybh4AApKYiJOSjCtaiMDZvRkkJZsyQ2dDcuejcGW3asOCTQli8GOHhOHUK9vbQ1dX92lQQePoUQXs8i1augZ8fkpNr1pkamxHWUi3Tp49v06Z5cnJySkrc5Mn8M2cqqkr6008YOhSOjjXgnwLw80N6Orp2xZkzcuxc9SkPHiA8HFu2wMcHUVHw8lLMsLVUjKoqli3DxIn48UcpH0QyMjJ0Hj/W2LYNN2+y7Z28CA7Gjh04dgwV5Vd/Jfzvfxg/HtwRflDPRLduSEhAuVr/CqR2RqjUeHh4BAQEzJ3L9/DAkCEoXyD99m3ExGDmzJpxTjGMGoUhQ9C5c2ntbFZ5/fp1RETExYsXARDh6FH4+aFVK2hp4cYNREfXqqBSMGYM+HxU1Ju2GoRC4RBfX38nJ08vr23fflvDgYniQYRp07B/P06d+ppV8PRpJCaiNAM8IADDh6NzZ8ghJvb+/fvZ2dnVnlYrhF8Gq1bh9Wv8/POnR6dORUgIDA1rxieFERyMtm3RuzcKC1m0euvWLVNT1xkz7nl6Dvvmm9BGjTBjBvz8kJKC0NDaFvPKxc6dOHECZ89KdlVCQoL22bPHXr1KLC5e8j46XZkhwqRJOH0a8fFf8zq8QIAJE7BsWZklrlmz4OODXr3wvtYKK8ydu7RVq8lXr1Zf+6ZWCL8M1NQQHY316xEd/f7Qvn148gSjRtWkWwrjt99gZITvv4eQnQpMWVkYPXpeScl8ojVC4fkzZ6L//BNXriAwsHyDs1qUgRYt0KoVPvShE5OCggI9oRCAOsAIhVQTLefERyDA8OG4cQP//POVP9z++SeMjNC3XNjDsmWwsUG/fpCtIZqIvDxcu4bff9/2+vXB4uLqZ9a1e4RfDDwe9u5F585o0ACNnUvw449YvlyRZTlrEg4HUVHo1g0TJ2LVKkmvzs8vbeWblIRbt5CUhNevoaFRB8gAALxTU3vbqhXrTtfCJnv2gMdDeDgmThT3knbt2i01Nh6Vm/vYwGDg6NHKXGS1qAiDBiEnB4cOfbWPYrm5uZ06Dbx379/MTO19+zYDNp+8zTBYuxbdu2PECGzaVK7I4vnz52/dutW2bVt7e/tyZoVCpKXh3j3cu4e7d0tfvHgBBwfRElI+UfW1Rmssj5AVvu48wgrZuZNsbCh7QRh17SoP+8qSR1gh795RkyYUGlr22KxZv1haujdv/u2HevbFxfTwIcXGUnAw+fuTszNpapKzM/n7U3AwRUfTrVskEFBGRkadOrYcjhuHY75q1Z81cT81wJeVR1iOiRNJQ+PG0KEjtm/fLuYlJf37X5g+/dGjR+KP4ubmZm1t/fDhQ6l8lIaCAurZk3x9qUxatVKTkpLSp0+fuXPnin9JTg5NmrREVXU1QMDpSgsT5uZSy5Y0e3bZY6tWrTcw6MbhrDY2dk9IuHrpEkVHU2goBQSQuzvp6JCBAXl7U2AghYaWfsBFnXz++muXiUnjo0erb95UK4RfHgt+eJOhxiu6clMexpVaCIno2TOytaX160X/Onr0qL7+IKAEuGJq2qlfP3J2Ji0tcnIif38KCaEdO+jOHaqkAxoRUVJSUmUN0r5KvmghXLXqT8AdCGeYZlOmzKz+gtevSV+f3rwRfwjADPAHJgE8MbWwuLhY0j55ZcnNpY4dqX//ahP9lYWkpCSAB0wHOvF4jUUHX76kW7fo+HH66y9asYLmzKERI8jPjzw9ycaGtLVJW5t0dGYARwAC0t3culQ6wKtX1KABLV9ORMXFdP06mZu3A94BBBxWU5vp7k4DB1JICG3bRpcvV9OdsaCgoLJ2tmX5byysfV3MLg45ZO0fHe6yYUNNu6J4zMxw5AjatHmUabhftWdk5KPMzG8AFcAtJ+dNz56YPRsNGkD8egyWlpZV1a6rRZlYsiQSCAe8iHqEhw969w7168PFBS1aVBJasnlzuodHz67fmZkZrVv3u2ElO29v3uDCBSQl4cKFFEAHEO3DF7u57evWbbK5OSwtYWUFGxs4OKBc74cdO3YMHDiVyFxN7XlycoKklSCzsuDrC0dHrFkDFRWJLq0xZsyYAYwHfgLoxYsmRkZ49w76+uByYWICPh88HkxM4OFR+oLHA5+POnVw8+bgDh2G5uRc0dY+GBQ0uULjhYW4+dg4+fv4rsGtfg83WvpiiLU1hEIzhrlK1EZD48qiRebTpkngrZqamjgFq2u/Ar40kpOxbVvri7dn+GH1alTZouqroqQE16/j9GmcOeOQkR2zY0a3dz4mfft2fPy495s3Ojo6F/r2bT2wturnV425uWFq6lXAC7iqqmqUkIC9e5GTg6IiMAw0NaGnBx4PFhawtYWzMwYtXz3g3+zzwpXA/WPHWkdHJyUl4e5dPHqE58/x+jWyslBQACKoqaFOHRgY8IEcIA/QAh7k5fU8dgwMg/x8FBSguBhCIRgGKirQ0IC2NnR0kJa2SiCIB5wKCzf17z/t3Lld4t/O27fo0gXNmyM8XGFtx1jA3NwcEOW/ZwDZrq548gRPnkBHB6qqqFsXFhawty/9o6v78UIXF5eAgG67dm3z9Gzu59dFdDA3F9eu4epVXLmCK1dw7x7q1UPTphaYcGB2RIegrVytXl2ePPmlR4+R6ek/NGvmMmHCGnncFEPKHUlVNVu3bo2Li4uKiqppRxSInx/at8fUqY8fo2VLREWhXTs2zRcUFCi4H6GIFy9e6OnplWsCl5ODc+dE4ofERFhbo1Ur+PigbVuY3PgHAQH4558Hamrbt8c4OFj169dXil4l2dnZumU/rF87X/T9vnz5sn79NllZBVpaqufO7XFxcfnw1t27uHIFt28jORlpaUhPR/2Ms+G5/k4YQ/gJANBcTe18nTocQ0Pw+bC0hKMjXFzg6ooPlfKys2FgUE8gyAFUOBwcPvxk82bs3w8fHwQEoGtXqKriyRPcu4fUVDx5gn//xfr1zQWCWMAUiAHOq6r+Ym6ORo3g4YF69VC/PurVQ7maMHFxhzdu3OvoWG///rGdO2ssXly9CqakpKirq5ubm7P4w5QagUCgr98gJ6cIKNbV7T1t2sqQEJSUIC0NDx9+8ufBA+jolCqigwOePt0SFZWYn/+zqurWZs2e2dsvuXIFqalo2BBNm6JpU7i5oXFjfGyje/48/Pywd68s+byifoTVf6FJsjisdPzn9gj/+Yfs7amgQPSvU6eIz6cHD9gcQfF7hCUlJe3a9eFyO5mYuG3e/Pfz5xQbS0FBpdvg3t4UFESxsfT27WdXRkWRpSWlpsoy+he9ZyYF/6H7HTYsadgwhvEAsoFbampWVZ8uEJCvL02cSCUlJZmZmR+Ov31LERHk7U3m5hQURO9DskoJCVnI4TgyzCgVFfO9e89s3Eg9e5KZGdWpQ6amxOeTujpZWZGPD40bR7//Tr/9dqZuXR/gHIfzs6vrFHHuo3791hyOC4dTr3XrXpL/FOTFu3fvhELh8+fUrBl9/32lG5z//ksJCbRxI82ZQ7a2U4FTAAGZRkYdNm6ka9eq2xndv5/4fLpzR2o/xSy6XSuEXw4lJdSoEcXElD22ciU5OcnejvcjihfCgwcP1q07FSAgT1W1qZERde9Ov/5KiYnVhw8IFi8eW7eum7FxC1vbixcuSDH6f0gYiOi/c79ZWWRoSC9eBASMVVOz0tGpFxsbW/UVP/xAPj5UXFxp94nr12nKFOJyqU0bioyknJzS45cuXZo/f/7z58/Lnvz4MUVG0rBhZGdHxsb0zTfUty8NGEBWVguAXQABQmNj5wo9yc+nO3fo8GFav55GjDjHMG1F53M49dLT06X5aciBD90ncnKoRw/q0KGiR9VPiYnZr6/fHUisU2fy7Nm/iDvSli1kZXX54MHIyMhUyZ96a4Xwq+PPP6ldu88Pjx5NPXpQJY2qJEbxQrhz5141tdkAAcXGxm4StXaJjY2dqK5OQCrwTYMGUoz+XxGG9/xX7vePP8jfX/zTN28mOzt69YqoujZMhYW0ezf5+pKBAY0YQX/+mcjnu/F4/vb2Hi9evKjwkgcPaPVq8vcnCwtSVZ0AdAeeAxsZxq5ZM6pXj8zMSF+ftLRIVZUYhgDicEhNjerUIV3dK0BPgAACvNu3/zc5WcIfhXwo24appIQmTSJnZ0pJqeaqXbtiBgwYv3Ll2hJRfoN4RPbp01lFJUxVtamJyQ1RFzSxUfY2TLVIRnY25s9HbOzn74SHo1MnhIRg/nzFuyUrqalYvLiTtnaYqupwDufR9OkjJYoaePXiRX2hEIAFkPf0KZ4+ra2NVgsArFuHRYvEPDcxET/8gOPHxapqpq6OXr3QqxfS07FlC6ZOXZifvxOwe/lyW+fOa5yc5mRnQ/QnMxNZWcjOhlAIXV3o68PYGFlZr7Ky+MBwwAHQ5PPRsCG4XJiawswMlpawtkbZrUCh0JXHu//mzbdArrGxTmqqaYMGsLYurVitJKioYMUKrFmD1q2xezeaN6/0zN69e/Tu3UNS+5vu3t0jENQF6r96tT0iotHKlTK5WyESqauy8R+aEc6YQSNHVvbm69dkb0/btrEwjiJnhDExxOdTWBiVlJRcvnz5yZMnklpIT09vYm7+i6ZmH339X1q3Ji6X/P1JkjXS/8oM6T3/ifu9fp0sLUm8OcezZ2RpSfv2fTwiUWPeZs2+BVIBYpjojh1DoqIoNpaOH6dLl+jhQ3r5snyO/IULF1RUzBlmOofTNCBgrJij7Nmz58iRI6LXjx9Tv36koUHq6uTnx3KIgPhU2Jg3Lo74/HK7NywwsGPH0wABSxnmd3Nz2ratqtTgT6ldGv2KePSIjI3p33+rOOXaNTI2lkgCKkYxQlhcTEFBZG1NiYmymsrIyPj777/PnTtHRJSVRWFhZGlJ3t4UG0tiLLP+J4ShDP+J+x03jubPF+fEvDxq3px+/fWTgxIJ4YkTp3i8plzuUGvrZv9W+Qn9QFpaWkhIyAdhk5otW8jJiRiGLCxo8WIZjUlMZR3qr10jS0sKDmZzrJSUlPaNGrnzeAM7dSo4eJB8fcnGhkJDq9+WrBXCr4o+fWjRomrP2r2bLCzo2TOZhlKAEKalkZcXde8uUcUPSSgspMhIcnGhJk0oMrLqh8f/hDCU4eu/37w8MjISJ5ZYKKSBAyngs1JfEgkhEWVlZd28ebOwsFAiN9ni8WMaPJg0NEhDg7p2pQcP6N27d717D27atGMM61OzMlQmhET09Ck1aUKBgeJP2yTnyhUKCCBDQ5o0iapcSRJTCGu7TygvKSkpXdzd3U1Mph46JBSj0nCvXhgxAv7+7HYrYpn9+9GsGXr0QEwMDAzkM4a6OoYMwc2bCA/Hjh1wdMSKFcjNlc9gtSgZO3bAywtWVtWeuGABHj/G2rWyDqirq+vi4qIufjUjVrG2xpYtKCjAunVIToajIwwNv9+92+HKlQm9e/9w+vRpxbtkbo5Tp/DkCXx9IUYrQKlwc8Pmzbh8GVpaaNoUQ4bg1i1Z7NUKofIyNSBg/pUrl1+/Vikp+TsmRpxLgoNhaYnRo0FERUVF8vZQIkpKEBKCCROwZw+CghRSSqNVK+zbh927cfkyrKwweTL+/Vf+o9ZSo6xdi5Ejqz0rJgYREdixo0z69hfO4MF4+BDXrkEovAsEA92FwqkbNmyqEWd0dREbC1tbtGqFp0/lNoyNDUJD8eAB3N3RpUvp512qEjG1Qqi8pD971hQA4FlYmHrvnjiXMAw2bsSpUzv09JpYWLQMDJwhVw/F5+lTtG2Ly5dx5QpatlTs2KKHx0uXAMDFBUOG4M4dxXpQi6JITsaDB/j226rPun0bY8Zgzx4oR6kWNmncGJqahUAikAscKijwqSlPVFXxxx8YPhxeXrh2TZ4j6elh8mQ8eoTAQMycWfp5Ly6WyEatECovvQMChqqpbWSYX0xMeordk1RTk7KzF+TknHv16tKePY+vyfd3UCz++QeenvDxwd69Nddx1NYWK1bg3j00bIiOHeHnJzx9ukuzZs4GBk76+pcvX64ht2phlbVrMWwYqqynlZGB7t3x229VRfl/0Rw5EqmvP0JNzblJE8fo6AHffstWN2tpmDwZv/2GTp1w8KCcR/qwIfLrr9ixA9bWCAlJSkz8tlmze2fPVn85a7uXNcFXHizz5Em8ru7KJUskao1WVFTE5TYXZeBqak6Ojz8u0ZjsBsuElIEDAAAgAElEQVSUlFBwMFlZUUICWybZIDeXVq4M0tcfAgiAE0CDunVr2icF8TUHyxQWEo9XvgbapxQVUdu29NNPVZmRNFhGmblwgXR0iM+ntDSWLVcRLPM5Z8+SqSn98QcRUUZGhvgXSs/Fi9S/v7eKyh2g+PDhak+vnREqMevW+QwdOn76dDs7O/EvUlNT8/VtbWTUv27daerq16ZObXnjhvxcrIqXL9GlCxIScP48lKv/u7Y2xo+/3aRJN4ADtAZya0NpvgL27kXDhnBwqOKUCROgr4+QEEW5VNM0b45nz8DjwcEBe/fWmBteXkhIwLJlGYaGrZydB1pZuSclJcl3yGbNsH17oYFBA4ApKKj29FohVFYEAmzciBEjpLh0/fplhw/P2LWr2+vX8dOnq/v4YPFiRS+PHD8Od3d4eyM+Hnx+NSfv3Bnj4eHbq9eIp3LcWC/P8MmTf2KYXcB4wLlMH4NavlTWras6TGbFCpw/jy1bIHmTki8YPT1cu4Zhw9C7NyTq5Mcu9vbo2nV1ZuaYFy8OP326acKEeQoYtIGHR4iWVlbdutWfKvcpqjz5mpdGY2PJy4sVSykp1Lo1+fhUnW9TiixLo/n5+cXFxUIhhYYSn09iZgwnJSUZGbUD0hgmvkmTjtINLR27du3q7Om5zsZG8Pvvihy3Bvlql0ZTUsjEpHwdlzIcOUI8HomzyfA1LY2W5a+/SE2NXF1JjIbt1SPR0qiI8eNnAfsBAlKbNfNlwYnqKCws3LBmTWqVq+UiamuNKitr1iAwULpLhULhoUOH3r175+fnp6OjY2OD48fx669o2hTLl2PwYHYdLaV//9EHDyYyTJG1dbCx8cArV2BqWv4cIjx/jrS00k6eaWlIS8P16zfevOkGWBJZPn8+Uy7OVULv3r07duyom5KCTp3w/ff4Yhv11YL16zFoEDQ1yx1OSkoKC9tUpw7377/HbN+uK8kmw9fGwIFo1gwtW8LMDKdOoXFjRTswderw3bv7FhYezc09o6n5S3Fx1VFNLKCurj50xAiBQFDtmbWNeZWSp08havxcrqenePTsOezECd3CQlNz85gbN45rvzdy4wYCAlC/Pv78s9LoTeka8548ebJ9+1+Fwn1AgYqKW2bm7ZcvmUeP8O+/eP4cjx5B9Do1FerqsLMrLTFsZwc7OzDM49Gj+7958yvD3NXXP5SaukuRelTaqHbwYDg6IjhYcQPXEF90Y95KEQhga4v9+8t9uz9//tzNze/Fi0UM89De/vD9+2Il44pqkZTrEf3VIBTC1xdHjuCPPzBqlPR2cnNztbW1GQnTgbOzs69du2ZnV3/cOK6aGrZvh6qc52JiNuatnREqJevW4bvvpFPB4uLixMS7794lAkhPf3v6dGKnTh1EbzVujPPnERICd3ds2MBaa/tz5zBzZrpQaA8A0BQIikxNC6ystKysYGkJS0t4e2PgQFhawsKiwvxlG2vrlWFhmy0t+f/+u7FjR+zfL1YfADZZsADNmmHMGPB4ih24FjaIi4OFxedznPPnz+fk9AI6ESErayMRSfrF/fXB4eDgQYSElGZSyj2r4VN0dXVbt24NYMcO9O2LgQOxbZvctVAs5L1KK1e+zj3CkhKysqKrV6W7WigkHR1XIAMoUVX91tAwaexYOnnyk4aF8fFkaUmBgRXsFoi/R/j4Mc2bR3w+6eqSuvpThnEExgN+deo4SOe5yPmffqJ69cTay2GFj3tmkybRpEkKGrXm+Dr3CHv0oPXrPz+cnJxsaNgWeAUk1q/fWkxjX+seYTmOHiVNTbKxKe3CKClS7BGWo7CQfH3J31+eJUlra41+wRw4AAsLNGkixaUFBQgIgKXlUnPzznx+s9mz21+96ly/PmbNKi0xdvo0iODjgxs3kJeH5s1x9apkQ7x5g7Aw1KuHevWwcCEsLDB/Pp48MZ8/f5yx8RFLy7T9+zdI4bkIhsH8+fjxR7RpA0XnuP/0E/76Cw8fKnbUWmQmPR2nTsHf//N36tWr17r1JGPjAZ06hR84sFHxrikzHTrg+XOoq8PSssDCor2amqWdneebN28U5oC6OnbtQl4eBg1CSYnChq0EOWqx/Pk6Z4TdutGmTVJc9+wZNW9OAwdShY+zKSkUGkpOTmRpSZMmlWa4R0cTl0vBwR97t1U2I8zLo/XrqUkTUlUlNTVq3pw2bKDMTCncFIu9e8nEhA4elJf9D3wyQ5o3jwYNkvuQNcpXOCNcuJBGj67wnbw8MjGRuGPf/9u797ic7/9/4I/rkK5L6aqrMykdzWlJRUoThdZQyOY0rVoip3HbVg6b05Bs5rioSGk5tPARC9Es5JCRIuUrTMZEkQ46XF3v3x/vrV+r66qruk51ve5/9X6/Xu/X+6lbruf1fr9f79dTRa4IG+jqfg5sBOqBiKFDP5TwqI5fEdKqqigPD8rP7z+3rKSIXBF2TkVFuHpV5NfblmVnY/hweHkhMREiH/P36YPQUOTlITUVOjoICIC5Of74AwcPIiMDrq548EDEUfX1OHgQw4dDSwvBwQCwaxdKSnD9Ovz9Icn7Oe0zcSJOnkRgIGJiZHUKEZYuRXo6bt6U4ymJjqEoxMaKe33wwAEMHw5LSznH1MkwGH8AEwEmMCkrq1vfvvDxQUREB8s5SIrLxYkTKCpCYKAil4IjiVDJtGuaTFISxo3D9u0SLZkxYABWr8b9+zh5EhwOgoLw4gV0dTF8OHg8Ry7Xsls3s2HDPNLS4OEBLhezZ6O+HpGRePMGt25hzhw5vWUwdCguXkREhBzXAdHUxIoVWLFCXucjOiw9Hd27w8FBZOOuXVi0SM4BdT5Tp45mMBYDvzIYC93dbdzc8OIFtmyBrS2YTPB46N8fkyfjp5/w4sU/h9jaemhp9VdXN4uObv9zkAZcLlJS8OefCApSXC6UyeWovHS1W6P0NJnsbMmPoGeXmJtTOTntPGd9PZWRQYWEUBoa+wBboBZ4CwxksWodHKi4OEr29epb8uwZNXgwtWCBrO6cNL1VWFtLWVlR587J5GRKoKvdGp02jdq5U2TLuXPUgAFUO+7eqdqtUYqi1q5db2fnsWrVuib7b96kNmygxo+nLC2p7t0pgFJTo3i8E8AngBB4qqZmKq0YKispNzcqMFDK/9OVvUJ9fn7+vXv3xLVWVFTk5ubevXu35brPXS0RHj9OOTtL3r2ykvL1pUaMoIqLpXDywMAgYAa9WjfgkJFxWQqDSkNZGeXhQU2Z0sKyIe0nIjEcPEg5OLTnE7Qz6FKJ8NUrSlubKi0V2ThxIrVnT3tGVcFEKKF376hTpyg7u7XARvqDgsk0k+L4FRXUyJHU559L8z+f8j4jrKysdHNzGz9+/MSJE0eOHFlRUdGkw2+//darV69PP/3U19fXzMwsPT1d/kEqRltWk3n2DG5uUFNDWhr09aVw8u++WwucB1YBixmMv1xd5Vw2UCwtLZw6BQ4Ho0bh1SvZn++TT0BR+OUX2Z+J6Jj4eEycCB2d5i2PHyMzEzNnyj+mrozDgZcXDh+exmLtBCIYjOnW1r2lOL6GBk6dwv37dGlxKQ7cOgUkwj179giFwnv37t27d4/JZO7evbtJh6FDhxYXF9+6dSsvL2/JkiWLFy+Wf5AKUFSEa9cknCZz69b/nxrTbFWpdjIyMiooyBg06Njw4Vlv30pUB1huunXDgQMYNw4jR+LJExmfjMHA999jxYq21vYk5G3vXnHTZLZtQ2AgNDTkHJBKsLa2Lij4PSCgYOPGwfn5F6U7uIYGUlKQk4MlS6Q7cCsUkAgPHz7s7+/PZrNZLFZAQMDhw4ebdNDQ0OjWrRv9s4WFhSQrxXUF0dGYOVOSaTJJSfD0lHRqTJvY2Nhcv379999/19TUlPLQHcZg/LMchrOzjAteA3Bzg5kZ9u6V8WmIDsjMRF2dyPpeFRWIj/9nkjMhC5aWltu3b//6669lMbiWFs6cwZUrcs2FCljc5s8//2wosGdhYfFE1Df8mpqaVatWlZWVZWVl7dq1q4XRXr16de7cOfpnLpfr4uIi9YDlQSDAvn04fbrlXhSFiAj89BNOn4adnXwiUy4LF8LEBGPHIiEBY8fK8kzffw9PT8ycSVbiVlIxMQgKgqgl0/bvx+jRMDeXf0yEdPB4OHsWY8Zg6VJs2SKPM8okEZ49ezYhIaHJThaLFRsbC6Cqqorz7+08DofT/BkhTUdHh81ml5WV5eTkjBK/LOb9+/c3bNhA/2xkZPS+/NdUlwb2qVPdeveuMjNDebm4PtXVmD+f8+QJMz39nYEBJb5jh7Rv0W158vDAwYOsWbO4GzbU+Pp29O6luD8/WFhwR4yo37y59quvOngKpSL239upMCorNY4fr1y5svl/A4rCjh0a27dXl5e3804SPb1CoPjFTpRaVVVVfX297NZuZTJx9Chj4kTuokX169fXtHscoVCorq6umEW3zczMPD09m+xk/lsN09DQsGEhn9LSUiNRZVvV1dVDQ0MBfPzxxw4ODgEBAeKWzHd2du4K1ScOHMC8eS2UBXj2DD4+sLLChQvgcGR431JNTU3JEyEAd3ecO4ePPuK8fMnp+O0Zsb/2iAi2o6P6ggUwMOjoOZRJV6g+kZgIDw9NUUWVUlOhoYFx49qzYD2ta1efkBYmk9mO6hNt0qMH0tPh4cFau7bb5s3tLJxCV59otZtMEmHfvn379u0rrtXBwSEzM/PDDz8EcPnyZQcxL8PStLS0BAKBUIFLDsgBPU0mKanJ7rKysiVL1uTkFIwZMzkxMdDfX46vliu9AQOQmQkvLyo+/quSknQtLY0jR3bZ2kr1foC5OaZNQ3i4nO7OEJKLjsa/94Ga2LYNKjK7ThVoayMtDS4uuXv2+HG5WkZGzIsXj2tpaUn/TFJ7X0Nily9f5vF4Bw8ePHTokLa29kV61UuKsra2zsjIoChq7969O3bsSE1NPXjwoKOjo6+vr7ihush7hN98I7Lugbe3P4u1H3jOYEz99tvT8omlIxXq5e/w4VNsdjBAAQ/693drxwitvFdXXEzp6sqvFobsdfb3CGN27Zrp5PQjj1dXXd289f59ytCwo++bkvcIJSGttUYlMXSoD3AXoNjsmNWrI9p0rPK+R+js7Hzo0KHk5OSkpKTExMQR/877mjhxooGBAYABAwbk5eXt2LHjxIkT/v7+zR83din0NBlRJTKzs+/U188GjChqukAg51oMncObN88AWwCAxZ9/Vty+Le0T6Otj/nysWSPtcYn2SNi379KyZSuvXn1WVbVl/frmHbZuxZw5UnuhiFAS1dWVgB4AgUAvNbXi+XMZnKO9SVopdIUrwmPHKBcXkS2fffYFi7UOuMbne1y+LKd1XjrXFeFff/1lbDyYzf6Rx5vp6rqqTx/K3p7as0dEnUVxWr9CKi+njIzaXR5S2XTqK8K5vr5ZAAU8B8Y7OjZpLSuj+Hzq6dOOnoVcEUpCnleEx46l6Os76eh8ZWAweO7chwYG1NSp1JUrEh2rvFeExH+IX00mLCycw9GcPHl/QsKXzs7Kss6LUunZs2d29pnoaO1jxwIzMlYXFiI8HOfOwdQUwcFSWj5fUxNhYVi5UhpjER3iNGZMFIfzGNjJ5Q53d2/SGhMDT0/06qWIyAhZ8vEZf+vWL8nJH96/fyEy0vz//g8uLpg+HQ4OiI+XTi1DBiXnpWykKiEhITU1tRPPGi0qgp0dnjwR+R79okXo0QOi7gDJkPK/PiGJv/5CQgJ27oShIRYtwvTpEPcPkmgqWm0t+vdHdDTEv8bTWbRv6p2SoCgq0tQ0XVt76OTJS1aubPxXKhTC2hqJiRg2rKNnIbNGJVFZWSnrWaMtEwpx6hS2b0dhIYKDMWeOyLX2/pk12uoHGrkiVKioKMyaJTILvn2LxETMmyf/mLqCXr0QGorCQoSG4sABmJoiLAyPHrV3uG7dsGYNwsLkvQAi8V+Ma9dC1NV/uX376zVrmny0nTgBAwMpZEGis2AyMWEC0tLwyy+4exdWVggORkFBe0eTamxEWwgEiI0VOU0GwO7d8PKCiYmcY+pSunXD1KlIS8PvvwPAsGEYMwZJSe26lzJ9OgQCHD8u7RiJtoiMREgImCI+tbZvJ6UHVdSQIYiPx927MDaGqysmTMC/S421AUmEipOSAnNzDBjQvEUgwK5dWLhQ/jF1TTY2CA9HURHmzEFUFPr0QVgYiorg4jKBzx+gpzcou9XVS5lMrF+PZcuk80SCaIeSEqSkwM+vecvduygowJQp8o+JUBZGRli9GkVFmDoVX3wBOztEReH27XxnZ++rV1svIUASoeKInyaTlAQLCzg6yjmgLk5d/Z8LxBMnUFoKG5tvMjO1BIKHJSU/jB49o/XjPT1hYoLYWNlHSoiybx98fKCr27xl61bMm4d/F+onVJe6OmbPRm4uNm5EcjIcHOZcu7ahpkbs6i4NSCJUkCdPkJUl7kvstm3yrkKiUoYMQVQUHB1zAB+ADYwpL5dsBc6NG7FmDaqqZBwg0QxFITpa5DPz0lIkJ4t7wkCoIgYDnp44cwY83jtgUHl56zN6SCJUkKgofPqpyGkyly6htBTjx8s/JtWycOEsBmMVcBJYYmU1UKJjHB0xfDi2b5dxaEQzp09DU1PkTZI9e+DjA0ND+cdEKLshQ6w4nI18/ttWeyqgDBMBgQD79+PMGZGNP/6IxYtFTgggpGnq1Kl1dXWbNv3I4Yzp3v0HihJZ0qeZ9evh4oKgIJH36AhZiYzEggXNdwsEiIzE0aPyD4joBE6ciN2zZ3/PnuWAqFcrGiEft4qQkgILC5HTZB4/RkaGyAkBhPTNmDHj0qXjV66ECYWsnTslO8bGBlOmYNMm2UZGNPbkCTIzMW1a85ajR2FujhbX7SdUF4fDWbhwTp8+xq32JIlQEcRPk9m6FZ9/DuWrD9+VMZmIjcV33+F+65PLAACrVmHfPogqKE3IxJ49mD1b5HME8tYEIRUkEcodPU1m8uTmLW/fIiEBISHyj0nVWVjgm2/g5wcJKpcBxsYIDiYrcctJbS327UNwcPOWmzdRVARvb/nHRHQ1JBHKnfhpMtHR8PRE797yj4nA/PnQ1sbmzRJ1pkJDtyQljenbd4m/f3mzIumENCUnY9AgiKpvum0b5s8Hm8xzIDqM/BHJl/hpMvX12LULhw7JPyYCABgMxMTA3h5eXni/tfq+R1JS7tXWHrl/P+nhw+V1dTu6dqUwxYqMFPkuUXExUlJIyWRCOsgVoXydOCFumkxyMnr3xtCh8o+J+EevXti4EbNno7a2lZ7Zly59UlOjA8wWCLKzsuQSnUrKy0Nhoch3iSIj8fHHZOouIR0kEcqX+GkyP/5IXqJXPH9/WFpi3bpWurlPmrRFRycTWMlme5BXPmVn1y4EBzcvHVJXh+ho8jSdkBpya1SOnjzBjRsiX3q6cgUvXmDCBPnHRDS1ezcGD8b48S2VMvAYO7YuPv7ggQPvp6b6i/lmQ3RURQUOHUJOTvOWw4fRr1/rd7AJQkLkilCOxM8Cpy8HWSz5x0Q0pa+PXbvw2Wd4966lbh+OH7/j8OGgL75gk4VmZOTAAbi7i6y0u2MHeWuCkCaSCOWFniYTGNi85c8/cf48eYleifj4YPBgrFghQdcFC3DwIP7+W+YxqaDdu5ssLlpdXe3jE2Bg4JCT87GTU6mi4iK6HpIIZe7NmzcTnJ0d9PQ8374t1tdv3mH7dgQGQktL/qERYkVGIjkZFy601s/AANOmITJSDiGplosXUVsLN7fG+zZt2nH69KCXL2/U1vp++eVaBUVGdEEkEcrcltWrp2Zl3SgrC6msXP/ll01ay8sRFydyGUVCkbS1ER2NgAC0/pbgl18iMhIVktWvICQUGYl585os/5qX97imxhmAUOhSUPBIQZERXRBJhDL3oqion0AAoB9F/d1sXa6YGIwZA1NTRURGtGjsWIwejWZfXZqxsMDIkdi3Tx4xqYiXL3H6ND79tMnuOXN8udwvgQM6OnPmzhWx9ChBtE/nToTXrl27fv26oqNoxaeLFy9QV9/KYgXo6vr/92O1vh47d+KLLxQVmggrV66MiYlRdBTy4+npeefOHXGt27bh/Hn8+mtro3z9Nb7/HnV10o1N6srKygYOlKzglGJFR8PXFzpNKwY4O4/icneEhZWmpCz/7LPpMjp5YmLi0qVLZTR4l+Hn53f27FlFR9G61NRUPwnmX3Tu1ycEAoFAIFB0FK0YYWmZyOFcCQ+PGTWq739Xijp2DMbGLU3Tl7/q6urq6mpFRyE/5eXl9eIXGNXQwP79mD4dt2+Dzxc/iqMjLC2RlIQZElS6VxyKosrKyhQdRWuEQkRH45dfmrckJMDVdfDGjYNlev6ampp3Lc8YJoDKyso6pf/mB6C2traysrLVbp37irBz2LrVMiBg1ty5fZutl0heold+I0Zg8mQJJut/9RU2bQJFySOmru3UKRgbw96+ecvOnVi8WP4BEV0fSYQy9vYt9u8Xeffzxg08ewYfH/nHRLTNpk24dQtJSS128vICk4m0NDnF1IXR02SaOXcOQmGTaaQEIR0MqjN/h123bt3OnTvfV+IVJhxKSoaUlkZZWzdvKiqaxGJV9+yZKv+oWvD48WMOh2NkZKToQOQkJyfHysqqu6hVDhorK+v35MmUQYO+a6HPB8XFppWVCebmUg1Qmurr62/duuWgxHVs1evrv7t9e8XgwbXMpt/RHz+exuW+MDT8TdYxvHz58u3bt5aWlrI+UadWUFBgaGiora2t6EBa8fr1a1tb271797bcrXMnQgCZmZlVVVWKjoIgCIJQRsOGDevRo0fLfTp9IiQIgiCIjiDPCAmCIAiVRhIhQRAEodJIIiQIgiBUGkmEBEEQhErrrCvLPHz4sKioqGFTQ0NDmSeFK7/i4uKnT58OGTKkYc/ly5cHDRqk1UWLYuTn5z99+nTUqFEsFgtARUVFVlbWqFGjFB2XrJSVlWVnZzfe4+TkpK6urqh4lFNOTk5xcTEAQ0NDGxsb1fz9lJeX3759e8SIEQ17bt682atXL0NDw8bdHj16FBMTs379+iaHZ2VllZWVMRgMY2NjGxsbNlsxKaa2tjYjI8PU1NTGxobek5OTw+PxzMzMRB9AdU5Lly41NjYe/a/AwEBFR9S5xcfH29nZNd6jqamZmZmpqHhkLSQkBMDevXvpzezsbE1NTcWGJFO//fabmpra6Eb+/vtvRQeldHx9fS0sLDw8PGxtbXv27HnlyhVFR6QAV69e1dDQaLzH3t5+//79Tbr98ccfjo6OzQ93dnbu16+fh4dHv379LC0t8/PzZRirePQXmj59+tTU1NB7pkyZEhERIa5/Z70iBDBu3LjY2FhFR0F0Vra2tmvWrJkxYwaHw1F0LPLA4/HOnz+v6CiU3ezZs1etWgVg4cKFYWFhF1qvSEk0tWTJkqCgIIqipk6dumbNmsTEREVFwuPxoqOj58+f32pP8oyQUFFjxoyxsrKKJDV1CVEcHBz++usvRUfRiTEYDHt7e8X+Djds2LB27dry1muKdtpnhITUFRYWjh8/vmFTFRbgDw8P/+ijjwIDAxUdCKEsqqurX79+XVJSEh0dPXz4cEWHoxjV1dWNPwoePHjQpsOrqqpev3797NmzhISECRMmSDu6NhgxYoSDg8OOHTuWL1/eck+SCIl/6OvrL1iwoGEzPT1dgcHIh6Ojo4uLy5YtWyZNmqToWAilsG3btj179ujr63/wwQfh4eGKDkcx1NTUGn8U3L9/v02HL1++fM2aNUZGRuPGjfv222+lHV3bhIeHu7m5BQcHt9yNJELiH1paWp6eng2b9HTKLi88PNzJycnZ2VnRgRBKITQ0lH5GqMpYLFbjj4K2Th3funVrUFCQtINqp0GDBo0bNy4iIqLlbiQREiqtb9++Pj4+mzZtUnQgBEHIxNq1a+3t7fv3799CHzJZhlB1q1evvnz5sqKjIAhCJqysrGbMmHH16tUW+rBWr14tr3ikSVtbe9CgQWLfjiTaSEND47333uvXr1/Dnl69eg0dOlRDQ0OBUckOj8cbOHCgiYkJAG1t7SFDhnzwwQd2dnaKjktW1NXVbWxslLlypzLQ0dGh3yBUdCCKpK6ubm1tPXjw4IY9BgYG9vb2urq6jbs9f/785MmTzW+B6unpDRkyRE9PTx6xisdisUxNTR0cHOhHPI6OjtbW1iNHjhRXaZWUYSIIgiDa5ubNm3Pnzr1+/bqiA5EOcmuUIAiCUGnkipAgCIJom3fv3hUVFTWs5NnZkURIEARBqDRya5QgCIJQaSQREgRBECqNJEKCIAhCpZFESBAEQag0kggJgmjF0aNH09LSFB0FQcgKmTVKEEQrHBwczM3Nk5KSFB0IQcgEuSIkCPl59epVdXV1+4598+bNixcvpBLGy5cvS0tLxbWWlpaWlJRIONTr16+Li4tb7vD69eu2xUcQ8kUSIUG0U2pqKp/Pb6jWFhMTw+fzGxbvLS8v19fXj46OBlBSUjJp0qQePXro6+vTy7omJyfT3R4+fMjn82NjYxuPfPToUT6ff+vWLXrzf//7X//+/XV0dIyMjExNTQ8dOiQynrNnz/L5/IyMjMY7IyIiDA0NG9Le7t27TU1NDQwMdHV1Bw4ceOHChcado6OjLSwsdHV19fT0dHV1v//+ewCDBw/Ozs4+ceIEn8/n8/mzZs2iO585c2bAgAF8Pt/Q0LBPnz6JiYkN42zdupXP52dlZdna2vL5/ClTprTtN0sQckYRBNEupaWlLBbrp59+ojd9fX27devm6OhIb548eRJAbm4uRVGPHz8OCgr69ddf8/LyLl26NHnyZDabffPmTbqnk5OTi4tL45G9vLxsbGzon48dO8ZkMv38/K5cuXLz5s2QkBAGg3H69Onm8dTV1RkZGfn7+zfe2bdvX29vb/rniIgIJpO5bNmyGzduXL161V+XKPMAAAXTSURBVNvbm8vl5uXl0a2bN28GMHPmzAsXLuTm5v7888+bN2+mKOrixYvW1taurq5paWlpaWnZ2dkURV27dk1NTW3EiBEXLlzIzMz08fFhMBjJycn0UBs2bABgbm7+ww8/ZGZmpqend/BXTRAyRRIhQbSfg4PDlClTKIqqr6/X09MLCQlhsVilpaUURS1ZssTQ0FAoFDY/qq6uzsTEJDQ0lN6MjIwEkJ+fT2/+/fffbDY7PDycoiihUGhpaTl27NjGh3/wwQceHh4i41myZImmpmZ5eTm9SZeXOnr0KEVRb9680dDQWLBgQUPn6upqMzOzefPmURRVVlamqak5fvx4kcPa29v7+vo23uPt7a2trV1WVkZvCgQCa2vr999/n96kE2FkZKS43xtBKBVya5Qg2s/d3T09Pb2+vj47O7ukpGTZsmUaGhr0/cbz58+7u7szGAy6Z3l5eXR0dGhoaHBw8Pz584VCYWFhId00ffp0Lpf7888/05sJCQlCoXDmzJkAHj58WFhYaGNjc64RExOT3NxckfEEBARUVFQcP36c3oyLi9PV1fXy8gJw+fLlyspKExOThnEuXrxoZmZ2584dAFevXq2oqAgMDJTwH56dnf3hhx821C5nsVi+vr65ubmNHwd6e3tL/pskCAUiFeoJov3c3d03bdqUnZ2dnp5OFzh0dXU9f/68q6vrnTt3Fi9eTHe7ffu2u7s7l8v18PDQ1dVls9lqamplZWV0K4/H8/b2jo+PX716NZPJjI+PHzduHF0rkZ4ds3///oY02UAoFDKZTb/IDhw40M7OLi4ubtasWdXV1UeOHPHz81NXV28YauPGjU2OMjc3B/Dq1SsA9ElbJRQKnz59amxs3Hhnz549KYoqLS3V0dGh9xgaGkoyGkEoHEmEBNF+rq6uHA7n/Pnz6enp7u7uANzd3aOiolxdXYVC4ejRo+luW7du1dLSys3NbSh0fOrUqcbj+Pn5HTp06Pfff+fxeDk5OcuXL6f383g8AD/88MOcOXMkDMnPz2/p0qVPnjzJzMx88+aNn59f46GOHz/u5ubW/ChtbW38myxbxWQyuVwunTsbvHz5suEsDd0kjJkgFIv8pRJE+3E4HCcnp9TU1EuXLjUkwvz8/Li4OEtLyz59+tDdHj169N577zVkwQcPHhQUFDQeZ+zYsb17946Li4uLi+PxeBMnTqT3v/feewYGBm16gW/WrFlqamoJCQlxcXH0BSK939nZWU1N7ciRIyKPGjZsmLq6urhWTU3Nd+/eNd7j5OR07ty5mpqahj0pKSlWVlYKL01OEO2h6IeUBNG5rVu3DgCbzaZnjgiFQgMDAwBBQUENfRYvXszlck+fPl1dXX3jxg07OztNTc0xY8Y0HicsLExTU1NPT2/u3LmN90dFRQEICAjIz8+vqqoqLCyMi4ujp9KIM2nSJBMTExaLtWXLlsb7v/rqKyaT+c033zx69Kiqqio/P3/79u2xsbF0a2hoKJPJXLFixaNHjyoqKjIzM+Pi4uimkJAQHR2d5OTkGzduPHjwgKKoM2fOMBiMTz755PHjx8+ePVu0aBGAqKgouj89WaZdv06CUADyx0oQHZKZmQmg8fsP06ZNA3D48OGGPa9evXJxcaG/eqqrq69bt87Dw6NJImy4Rrxy5UqTU8TExBgZGTV8edXX12+S4ZqgJ8uw2eznz5833l9fX7927dqGGS4AzMzMjhw5QrcKBIIVK1ZwuVy6ic1mh4WF0U1Pnz718vKib5/6+PjQO/ft29fwOLB79+4bN25sOBFJhETnQpZYIwh5oCjq0aNHpaWlNjY2jVORhIRCYUFBQXl5uaGhIX211+5I6urq7t27V1NT07Nnz169ejVppa8UmUymmZlZQ54Tp7a2Ni8vTyAQ9O/fv3v37u0OiSAUiyRCgiAIQqWRyTIEQRCESiOJkCAIglBpJBESBEEQKo0kQoIgCEKlkURIEARBqDSSCAmCIAiV9v8AjVPIRYASWcYAAAAASUVORK5CYII=",
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