{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "8097fe4f", "metadata": {}, "source": [ "# Motional state system\n", "Here, we want to show how a system with motional states can be simulated with AtomCalc. There are no motional state specific modules in the package. This is just an additional example of what can be done. \\\n", "We simulate a two-level system where we add one motional state to each level. \\\n", "We assume a harmonic potential that leads to the splitting of the motional states and describe the transitions with Franck-Condon coefficients. \\\n", "For all the background theory see my master thesis. \\\n", "This tutorial does not use realistic values. It rather is supposed to be a step by step guide of how a simulation with motional states can be done." ] }, { "cell_type": "code", "execution_count": 2, "id": "2325838c", "metadata": {}, "outputs": [], "source": [ "from atomcalc import Level, Laser, Decay, System, plot_pulse\n", "import numpy as np\n", "import scipy\n", "from scipy import constants\n", "import math" ] }, { "attachments": {}, "cell_type": "markdown", "id": "bf4aef4d", "metadata": {}, "source": [ "For the calculation of the Franck-Condon coefficients we define a few functions. \\\n", "`make_Hr` returns the Hermite polynomials that are needed for the calculation of the harmonic wavefunctions. \\\n", "`get_psi` calculates those wavefunctions. \\\n", "`FC_coefficient` calculates the Franck-Condon coefficient for a transition between sublevel `v1` of the cluster with trap (angular) frequency `omega1` and the sublevel `v2` of the cluster with trap (angular) frequency `omega2`. \\\n", "`m` is the mass of the atom and `k` the wavevector of the laser that couples the two sublevels (if there is no laser `k` is zero)." ] }, { "cell_type": "code", "execution_count": 3, "id": "8f49c42d", "metadata": {}, "outputs": [], "source": [ "def make_Hr(max_v):\n", " \"\"\"Return a list of np.poly1d objects representing Hermite polynomials.\"\"\"\n", " Hr = [None] * (max_v + 1)\n", " Hr[0] = np.poly1d([1.,])\n", " Hr[1] = np.poly1d([2., 0.])\n", " for v in range(2, max_v+1):\n", " Hr[v] = Hr[1]*Hr[v-1] - 2*(v-1)*Hr[v-2]\n", " return Hr\n", "\n", "def get_psi(v, m, omega, x):\n", " \"\"\"Return the harmonic oscillator wavefunction for level v.\"\"\"\n", " Hr = make_Hr(v+1)\n", " factor = np.sqrt(m*omega/scipy.constants.hbar)\n", " N = lambda v: (m*omega/(np.pi*scipy.constants.hbar))**(1/4)/np.sqrt(2**v*math.factorial(v))\n", " return N(v)*Hr[v](factor*x)*np.exp(-factor**2*x*x/2)\n", "\n", "def FC_coefficient(m, v1, v2, omega1, omega2, k, x_list):\n", " \"\"\"Calculate the Franck-Condon coefficient between sublevels v1 and v2.\"\"\"\n", " return np.abs(np.trapz(get_psi(v1, m, omega1, x_list)*np.exp(1j*k*x_list)*get_psi(v2, m, omega2, x_list), x_list))" ] }, { "attachments": {}, "cell_type": "markdown", "id": "de411f2b", "metadata": {}, "source": [ "Next, let us define the trap frequencies, the mass of the atom, and the motional levels:" ] }, { "cell_type": "code", "execution_count": 4, "id": "3df53aea", "metadata": {}, "outputs": [], "source": [ "omega_1 = 1 # as angular frequency\n", "omega_2 = 1.5\n", "m = 1e-25 # in kg\n", "\n", "# define level objects according to the energy separation of the quantum harmonic oscillator\n", "level1_1 = Level(0 + 1/2*omega_1) # first sublevel of level 1\n", "level1_2 = Level(0 + 3/2*omega_1) # second sublevel of level 1\n", "level2_1 = Level(100 + 1/2*omega_2)\n", "level2_2 = Level(100 + 3/2*omega_2)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "fce4665a", "metadata": {}, "source": [ "With that we can calculate the Franck-Condon coefficients:" ] }, { "cell_type": "code", "execution_count": 5, "id": "3a42b414", "metadata": {}, "outputs": [], "source": [ "# Define laser properties\n", "frequency_of_the_laser = (level2_1.energy - level1_1.energy) # angular frequency of the laser without detuning\n", "Delta = 5 # detuning of the laser defined as angular frequency\n", "Omega = 100 # Rabi frequency of the laser as angular frequency\n", "k = (frequency_of_the_laser + Delta)/scipy.constants.c # wavevector of the laser\n", "\n", "# calculate Franck-Condon coefficients\n", "x_list = np.linspace(-1.2e-4,1.2e-4,200000) # define the interval to calculate the definite integral\n", "FC11_21 = FC_coefficient(m, 0, 0, omega_1, omega_2, k, x_list) # between level1_1 and level2_1\n", "FC11_22 = FC_coefficient(m, 0, 1, omega_1, omega_2, k, x_list) # between level1_1 and level2_2\n", "FC12_21 = FC_coefficient(m, 1, 0, omega_1, omega_2, k, x_list) # between level1_2 and level2_1\n", "FC12_22 = FC_coefficient(m, 1, 1, omega_1, omega_2, k, x_list) # between level1_2 and level2_2" ] }, { "attachments": {}, "cell_type": "markdown", "id": "6975871d", "metadata": {}, "source": [ "The decay channels depend on the Franck-Condon coefficients. Here, every decay rate without the consideration of Franck-Condon coefficients is (arbitrarily) chosen to be one." ] }, { "cell_type": "code", "execution_count": 6, "id": "052f74dd", "metadata": {}, "outputs": [], "source": [ "decay = Decay([1*FC11_21**2, 1*FC11_22**2, 1*FC12_21**2, 1*FC12_22**2],\\\n", " [[level2_1,level1_1],[level2_2,level1_1],[level2_1,level1_2],[level2_2,level1_2]])" ] }, { "attachments": {}, "cell_type": "markdown", "id": "2be31f54", "metadata": {}, "source": [ "The next code block is just an insertion to visualize the wavefunctions and see that the borders of the definite integral make sense. Two wavefunctions are plotted inside the given borders. \\\n", "Additionally, the Franck-Condon coefficients are printed." ] }, { "cell_type": "code", "execution_count": 7, "id": "60d6c171", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.9898463956837853\n", "7.818578997749391e-12\n", "6.383843019374053e-12\n", "0.9698472624862684\n" ] } ], "source": [ "import matplotlib\n", "import matplotlib.pylab as plt\n", "\n", "fig, ax = plt.subplots()\n", "x_list = np.linspace(-1.2e-4,1.2e-4,200000)\n", "ax.plot(x_list, get_psi(0, 1e-25, omega_1, x_list)) #/41341373\n", "ax.plot(x_list, get_psi(0, 1e-25, omega_2, x_list))\n", "ax.set_xlabel('pos')\n", "ax.set_ylabel('psi amplitude')\n", "plt.show(fig)\n", "\n", "print(FC11_21)\n", "print(FC11_22)\n", "print(FC12_21)\n", "print(FC12_22)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "07a8c0a2", "metadata": {}, "source": [ "Although there is just one laser, we need to define a laser object for every possible transition, where the `couple` argument is different. \\\n", "The Rabi frequency of each transition is influenced by the corresponding Franck-Condon factor. \\\n", "Also, the detunings must be chosen so that every laser has exactly the same frequency (because they all represent the same laser, just for different transitions). " ] }, { "cell_type": "code", "execution_count": 8, "id": "94eae34c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "105.25\n", "105.25\n", "105.25\n", "105.25\n", "105.25\n" ] } ], "source": [ "laser11_21 = Laser(Omega*FC11_21, Delta, [level1_1,level2_1])\n", "laser11_22 = Laser(Omega*FC11_22, Delta - omega_2, [level1_1,level2_2])\n", "laser12_21 = Laser(Omega*FC12_21, Delta + omega_1, [level1_2,level2_1])\n", "laser12_22 = Laser(Omega*FC12_22, Delta + omega_1 - omega_2, [level1_2,level2_2])\n", "\n", "print(laser11_21.frequency)\n", "print(laser11_22.frequency)\n", "print(laser12_21.frequency)\n", "print(laser12_22.frequency)\n", "print(frequency_of_the_laser + Delta)" ] }, { "attachments": {}, "cell_type": "markdown", "id": "a5e1c86c", "metadata": {}, "source": [ "Now we are ready to define the system object and draw the system sketch." ] }, { "cell_type": "code", "execution_count": 9, "id": "57ba3b5d", "metadata": {}, "outputs": [ { "data": { 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n6efYkVeAi1rNwo7h2O+aC4ZSCL0BNDfaOjwhhLC5OifRiYmJ3HbbbebXU6dOBWDUqFGsXLmSadOmUVhYyLhx48jLy+Omm25i06ZN5jWiAVavXs2ECRO4/fbbzZutLFy40AJvRwghakdRjKRqlwIQFjYatdqR4lIDhzJ0QOtOoo8XljDrdCYAr7cLJsquFPYuM53sJ7XQQggB9Uiib731VmpaWlqlUvHmm2/y5ptvVtvGx8dHNlYRQtjU+fPbKCo6iZ2dOyEhwwHYn55HuVEhwNOJ0DaNtxNgU1JmVJh4JJUSo8JtPh6MCvaF3YuhRAe+7Uz10EIIIZrH6hxCCGFpqakfAxASMhx7ew8A802FPcLboFKpbBabLb2fmsP+S8V42dvxbkwYKmM57PqX6WSfCaC2s22AQgjRREgSLYRodXS6ZPJ0e1GpHAgLG20+/mcS7WOjyGwrOb+IBamm9frfjg4lyMkRDn0F+eng1ha6DbdxhEII0XRIEi2EaHUqaqEDA+7G2cm0tKbRqJiT6Na4MkexwcjEI6kYFLjb35uh/t6gKLDj8v0qvZ8EB+ca+xBCiNZEkmghRKtSVJTC2bM/AKZl7SqcPleArrgMZwc1nYJb31r0c05ncaJIj7+jPW9Hh5rKWU5tgZwD4OAGPcfaOkQhhGhSJIkWQrQq2rTlgIKv7624u/+5YUjF+tDdQr1xsGtdH42/XrzEx+lnAVgQo8HH4fI95zsvz0LHjQTX1lniIoQQ1WldPymEEK1aaek5srK+BCBcM67SucSKUo6I1lXKkV9uYNIRLQAjg3253ffyLHzWfji9DVR20OcZ2wUohBBNlCTRQohWIy39PxiNejw9uuLtfUOlc3/WQ7euGdfXTmSQoS8j3NmR16+7YsOrilro6/8O3hrbBCeEEE2YJNFCiFbBYCgiPf2/AGjCn6i0hN35Aj0p5woBiNV42yI8m/j+bB6fZV9ABXzQUYOb/eXl6y6mmlblANlcRQghqiFJtBCiVcjMXEd5eR4uzhr828ZXOlcxC93e3x1vV0dbhNfozpaW8fyxdADGa/y5wdv9z5O7PwTFAFG3QlA32wQohBBNnCTRQogWz2gsv3xDIWg0Y1GpKm8YktTK6qEVReGFY2mcLyuno5szL0QG/nmy6ALs+7fpeb9JtglQCCGaAUmihRAt3tmzmygpScfBwYegoGFXna9IouM0rSOJ/iz7ApvO5eOgUrGoUzhO6it+FCR+AmVFENgFom6zXZBCCNHE2ds6ACGEsCZFUUjVmrb4Dg19FDs7l0rn9eUG/sjQAdAzouXfVJhWUsqrJzIAmBYZyPXuV3w/ykpgzxLT877PQivd+lzYnsFgoKyszNZhiFbIwcEBOzu7azdEkmghRAt38eIuLl06hFrtTGjII1edP5iho7TciK+bIxG+rjaIsPEYFYVJR7QUGIz08nTjGY1/5Qb7P4XCs+AVZlqVQ4hGpigK2dnZ5OXl2ToU0Yp5e3sTGBhY6Qb0qkgSLYRo0SpmoYOD7sfR8eqZZnMpR3iba35gNnfL0s+yM68AF7WahR012F35fo0G2PmB6fmNz4Cdg22CFK1aRQLt7++Pq6tri/9/UjQtiqJQVFREbm4uAEFBQTW2lyRaCNFiXSo4yoUL2wE1Gs1jVbap2KmwZ3jLroc+VljCrNNZALzRLphIV6e/NPgOLpwCZ2/TDoVCNDKDwWBOoH19fW0djmilXFxMJW65ubn4+/vXWNohNxYKIVosrXYpAP7+d+HicvWGIYqitIqVOcqMChOPpKI3Ktzm48HI4L8kKIoCO943Pe81Fpzcr+5ECCurqIF2dW3ZZVWi6av4N3itunxJooUQLVJJSSY5Od8CEK55oso2qeeLOF9YiqOdms4hXo0ZXqN6LzWbPy4V421vx7sxYVf/iVy7G9L3gp0j3PCkbYIU4jIp4RC2Vtt/g5JECyFapLS0lShKOd7evfH07Fplm8TLs9BdQr1wsq/d3djNze/5RbyXmgPA29GhBDlVsZnMzstbfHcbDh4BjRidEEI0X5JECyFanLKyfDIy1wIQHj6u2nZJqReAllsPXWwwMvFIKgYF7vH3ZmhAFe/z7HFTPTQq6Dux0WMUQjScSqViw4YNtg6j1ZEkWgjR4mRkrMFgKMTNLRpfn1uqbVdxU2GPFppEzz6dyckiPQGO9rwdHVp1o4pZ6A7/B37tGy84IVqI0aNHM3ToUFuHUaNffvmFIUOGEBwcLAm3BUkSLYRoUYxGPWnpKwEI1zxebW2brqiME7kFgGl5u5bm14uXWJp+DoAFMRraOFSxGNOlbPjjM9Nz2eJbiBarsLCQbt268a9//cvWobQokkQLIVqU7Oz/UVp6FienQAIChlTbbp/WNAsd6eeGn7tTte2ao/xyA5OOaAEYGexLf1/Pqhvu+QgMpRDWGzS9GzFCIVqPgwcPMnDgQNzd3QkICODRRx/l3DnTL7gff/wxwcHBGI3GStfcc889PPbYn8ty/u9//yMuLg5nZ2eioqKYMWMG5eXltY5h4MCBzJw5k7//XTZRsiRZJ1oI0WIoipFU7TIAwsJGo1ZXcRPdZYmX66FbYinHqyfSydCXEeHiyOvXBVfdSH8J9i43PZdZaNGEFZcaOHW2oFHHvK6tOy6ODb/ZOC8vj/79+/P444+zYMECiouLefHFF3nggQfYsmUL999/PxMnTmTr1q3cfvvtAFy4cIFNmzbx3XffAbB9+3ZGjhzJwoULufnmmzl16hTjxpnu9Xj99dcbHKOoP0mihRAtxrnzWykqOoWdnTshwQ/V2LZifeiWlkR/dzaPz7MvogYWxmhwq27VkX3/Br0OfNtD9MBGjVGIujh1toDBH/zaqGN+O/Emiyx7uWjRImJjY5k9e7b52PLlywkLC+P48eNER0czcOBA1qxZY06iv/jiC/z8/LjtttsAmDFjBi+99BKjRo0CICoqirfeeotp06ZJEm1jkkQLIVqM1FTTFt+hIQ9jb+9Rbbsyg5HktDygZa3Mcba0jOePpQEwXuPPDd7VbJpiKINdH5qe950AaqnsE03XdW3d+XbiTY0+piXs37+frVu34u5+dX+nTp0iOjqaESNG8MQTT/Dhhx/i5OTE6tWreeihh1Bf/v9y//797Nixg1mzZpmvNRgMlJSUUFRUJJvT2JAk0UKIFkGn24dOl4hK5UBY2Oga2x7OzKekzIiXi4PFfljamqIoPHc0jQtlBjq5OfN8ZGD1jQ+uh/x0cPOHrjXP2Athay6Ods12M6SCggKGDBnC3LlzrzoXFBQEwJAhQ1AUhY0bN9KrVy+2b9/OggULKvUxY8YM7r333qv6cHZ2tl7w4pokiRZCtAipl7f4Dgy8ByenmjcMqSjliNN4o1a3jN3R1mZf4Mfz+TioVCzqFI5TdbPLV27x3ftJcJAfwkJYS1xcHF9++SURERHY21edcjk7O3PvvfeyevVqTp48SYcOHYiLi6vUx7Fjx2jXrl1jhS1qSZJoIUSzV1SUwtmzPwGg0Tx+zfYVSXTPCB+rxtVYtMV6XjuRAcC0yEA6ubtU3/hUAuQeAgc36DW2kSIUomXT6XQkJydXOubr68v48eNZunQpw4cPZ9q0afj4+HDy5EnWrl3LsmXLsLMz3bMwYsQIBg8ezKFDh3jkkUcq9TN9+nQGDx6MRqPhvvvuQ61Ws3//fg4ePMjMmTNrFV9BQQEnT540v05JSSE5ORkfHx80Gk3D3nwrJoVwQohmT6v9BFDw9b0Nd7eaNwxRFKVFrcxhVBQmHdVSYDDSy9ONZzT+NV+w4/LmKj1GgUvzf/9CNAXbtm0jNja20mPGjBkEBwezY8cODAYDd955J126dGHy5Ml4e3uba54B+vfvj4+PD8eOHePhhx+u1Hd8fDzffvstP/74I7169eLGG29kwYIFhIeH1zq+xMREc1wAU6dOJTY2lunTp1vmG9BKqRRFUWwdRF3l5+fj5eWFTqfD07Oa9U+FEK2CvvQcO3fejNFYSlzsp7Rpc0ON7dMvFnHT3K3Yq1UceCPeIstY2dKStFxeP5mJq52aLb06EOFSw5rXmcnw8S2gsoNJyeAtM1CicdX087ukpISUlBQiIyOl1lfYVG3/LcpMtBCiWUtP/zdGYyment3w9u51zfYVpRzXB3s2+wT6WGEJs09nAfDGdcE1J9Dw5xbfnYdJAi2EEA0kSbQQotkqLy8kPf2/AIRrxlW7xfeVEs9UrA/dvOuhy4wKEw+nojcq9Pfx4NFg35ovuHgGDm0wPe/3rLXDE0KIFk+SaCFEs5WVtY7ych0uLuG0bXtHra5JNN9U2LzrgRekZvNHQTFt7O1YEKO59i8Quz4ExQBRt0Fgl8YJUgghWjBJooUQzZLRWI42zbRttSZsLCrVtUszLpWUcSw7H2jeNxXuyy/k/dQcAN7uEEqAk0PNFxRdgN//Y3ouW3wLIYRFSBIthGiWcnO/o6QkAwcHH4KChtXqmuS0PIwKhLZxIcCzed64VGQw8uwRLQYF/u7vzT3+tfhlYO8yKCsyzUBH3Wr1GIUQojWQJFoI0ewoioJWuwyA0NCR2NnVLiGuqIduzlt9zz6dyckiPYGODsyODr32BWXFsGeJ6Xm/yVCLunEhhBDXJkm0EKLZuXhxJ5cKDqFWuxAW+si1L7hsn7bipsLmmURvv3CJZennAFgQE0Ybh1rsl7X/Uyg6B14a6DTUugEKIUQrIkm0EKLZqdjiOzj4PhwcapcQG4wKv2vzgOa5MoeurJxJR7UAjAr25TbfWqyRbzTAzg9Mz/s8A3aySa0QQliKJNFCiGbl0qUjXLiwHVCjCav9ttVHs/Mp0Jfj7mRPh0AP6wVoJf84kUGmvowIF0emtwuu3UVHN8KF0+DsDbGPWjU+IYRobSSJFkI0KxW10P7+A3FxCav1dfsuL20Xq/HGTt286oK/zc3ji5yLqIEPOobjZleLTWIUBXa8b3re63FwcrdqjEII21GpVGzYsMHWYbQ6kkQLIZqNkpJMcnK/ASBc80Sdrq1YH7q51UPn6suYdjwNgAkaf3p5udXuQu0uyEgEOyfo/aQVIxSidRs9ejRDhw61dRg1mjNnDr169cLDwwN/f3+GDh3KsWPHbB1WsydJtBCi2dCmrUBRDLTxvhFPz7ptGPLnyhzNpx5aURSeP5bGhTID17s783xkYO0v3nF5i+/uw8Hd3zoBCiGahZ9//pnx48eze/dufvrpJ8rKyrjzzjspLCy0dWjNmiTRQohmoaxMR2bmWgDCw8fV6dpsXQkZecWoVdBd422F6Kzj0+wL/Hg+H0eVig86huOoruVHdu5ROP49oII+E60aoxCiZgcPHmTgwIG4u7sTEBDAo48+yrlzplV2Pv74Y4KDgzEajZWuueeee3jsscfMr//3v/8RFxeHs7MzUVFRzJgxg/Ly8lrHsGnTJkaPHs31119Pt27dWLlyJVqtlqSkJMu8yVZKbtUWQjQLGRlrMBiKcHfrgI/P3+p0bdLlUo6YQE/cnZrHx15qsZ7XTmQAMC0ykE7uLrW/eNflFTliBoFfOytEJ0QjKi2Cc8cbd0y/aHB0bXA3eXl59O/fn8cff5wFCxZQXFzMiy++yAMPPMCWLVu4//77mThxIlu3buX2228H4MKFC2zatInvvvsOgO3btzNy5EgWLlzIzTffzKlTpxg3zjSR8Prrr9crLp1OB4CPT/P5y1xT1Dx+mgghWjWDQU9a+ioANJonUNVxw5DE1AsA9IxoHvXQRkVh0hEthQYjvb3ceFpTh3KM/Cz443PTc9niW7QE547Dx7c07pjjfobg7g3uZtGiRcTGxjJ79mzzseXLlxMWFsbx48eJjo5m4MCBrFmzxpxEf/HFF/j5+XHbbbcBMGPGDF566SVGjRoFQFRUFG+99RbTpk2rVxJtNBqZPHky/fr1o3Pnzg1+j62ZJNFCiCYvO2cDpaVncXIKJCBgcJ2vT2pmNxV+nHaW3bpCXO3ULOyowa4uvzTs+QgMpRB2I4TdYL0ghWgsftGmpLaxx7SA/fv3s3XrVtzdr14d59SpU0RHRzNixAieeOIJPvzwQ5ycnFi9ejUPPfQQ6svlW/v372fHjh3MmjXLfK3BYKCkpISioiJcXes2Yz5+/HgOHjzIr7/+2rA3JySJFkI0bYpiNC9rFxY2BrXaoU7XF5WWcygzH2geSfTRwmLmpGQB8Ga7EMJdnGp/cUk+JK4wPZdZaNFSOLpaZFbYFgoKChgyZAhz58696lxQUBAAQ4YMQVEUNm7cSK9evdi+fTsLFiyo1MeMGTO49957r+rD2dm5TvFMmDCBb7/9ll9++YXQ0NA6vhvxV5JECyGatHPnEigqOo29vQchwQ/W+fr9aToMRoVAT2dCvOtQV2wDpUYjEw9r0RsVbvfxZERQHesV960Cvc40ixZ9l3WCFELUWlxcHF9++SURERHY21edcjk7O3PvvfeyevVqTp48SYcOHYiLi6vUx7Fjx2jXrv73NyiKwsSJE/nqq6/Ytm0bkZGR9e5L/EmSaCFEk1axxXdI8MPY29d9p8Gky/XQPSLa1LmWurEtOJPDgYJi2tjb8W5MWN3iNZTB7sWm530nQm1X8hBCNJhOpyM5ObnSMV9fX8aPH8/SpUsZPnw406ZNw8fHh5MnT7J27VqWLVuG3eWNk0aMGMHgwYM5dOgQjzzySKV+pk+fzuDBg9FoNNx3332o1Wr279/PwYMHmTlzZq3iGz9+PGvWrOF///sfHh4eZGdnA+Dl5YWLS9OeXGjK5FNWCNFk5emS0OmSUKkcCQsbVa8+zPXQmqZdyrFPV8hCbQ4AczuEEeBUt7IVDn4J+RngHgBd6z5jL4Sov23bthEbG1vpMWPGDIKDg9mxYwcGg4E777yTLl26MHnyZLy9vc01zwD9+/fHx8eHY8eO8fDDD1fqOz4+nm+//ZYff/yRXr16ceONN7JgwQLCw8NrHd/ixYvR6XTceuutBAUFmR+fffaZxb4HrZHMRAshmixtqmkWOjDwHpycAup8vdGomJPoprwyR5HByMQjWgwK3BvQhrv9vevWgaL8ublK7yfBvg511EKIBlm5ciUrV66s9nz79u1Zv359jX2o1WoyMzOrPR8fH098fHy15xVFqbH/a50X9SMz0UKIJqmoKIWz5zYDEK55vF59nDxbQH5JOS4OdnQM8rRkeBY181Qmp4r1BDo6MLt9SN07OJkAuYfA0R16Pnbt9kIIIRrM4km0wWDgtddeIzIyEhcXF6677jreeuutSr8FKYrC9OnTCQoKwsXFhQEDBnDixAlLhyKEaMZStcsABT+/23Fzq98NNRWz0N3CvHCwa5pzBj9fuMTyDNPuZe91DMPboR5/INzxnulr3Chwaboz7kII0ZJY/KfK3LlzWbx4MYsWLeLIkSPMnTuXefPm8cEHH5jbzJs3j4ULF/LRRx+xZ88e3NzciI+Pp6SkxNLhCCGaIX3pObKzTX/+1GieqHc/iWcul3KEN81dufLKypl8VAvA6BA/bvWpx2x55u9wZjuo7ODGpy0coRBCiOpYvCZ6586d3HPPPQwaNAiAiIgIPv30U3777TfANAv93nvv8eqrr3LPPfcA8O9//5uAgAA2bNjAQw89ZOmQhBDNTHraKozGUjw9u+Pt1bPe/Vy5MkdT9OqJDLL0ZUS6OPLadUH166SiFrrLfeAdZrnghBBC1MjiM9F9+/YlISGB48dN+9zv37+fX3/9lYEDBwKQkpJCdnY2AwYMMF/j5eVF79692bVrV5V96vV68vPzKz2EEC1TeXkh6RmrAQjXjKv3snTnCvScOV8EQFwTXJnjm9w8vsi5iBr4oGM4bpeXuqqTCylweIPped+JlgxPCCHENVh8Jvqll14iPz+fmJgY7OzsMBgMzJo1ixEjRgCY1yYMCKh8p31AQID53F/NmTOHGTNmWDpUIUQTlJn1OeXlOlxcwmnbdsC1L6hGRT10dIA7Xi51XC7OynL1Zbx4PA2AieEB9PRyq19Huz8ExQjX3Q6BXSwYoRBCiGux+Ez0559/zurVq1mzZg379u1j1apV/POf/2TVqlX17vPll19Gp9OZH2lpaRaMWAjRVBiNZaRplwOg0TyOSlWP2dnLzOtDN7F6aEVReO5YGhfKDHR2d+G5iLov3QdA4XnY9x/T837PWi5AIYQQtWLxmegXXniBl156yVzb3KVLF1JTU5kzZw6jRo0iMDAQgJycHPO+8RWvu3fvXmWfTk5OODnJuqdCtHS5ud9Tos/EwcGHoMB7G9RX4hlTPXTP8KZVyvFp1gV+Op+Po0rFBx01ONZ3Z8G9y6C8GAK7QuQtlg1SCCHENVl8JrqoqKjSLjwAdnZ2GI1GACIjIwkMDCQhIcF8Pj8/nz179tCnTx9LhyOEaCYURTFv8R0WOhI7O+d691VSZuBghuneiR5NKIlOLdbz2skMAF6KCqKjez232y0rht+WmJ73mwRNfDtzIYR1qVQqNmzYYOswWh2LJ9FDhgxh1qxZbNy4kTNnzvDVV1/x7rvv8ve//x0w/YeePHkyM2fO5Ouvv+bAgQOMHDmS4OBghg4daulwhBDNxIWLOygoOIxa7UJo6CMN6utgho5SgxE/d0fCfV0tFGHDGBSFSUe0FBqM3OjlxpNhbevfWfJqKDoP3hroNNRiMQoh6m706NFNPn9ZvHgxXbt2xdPTE09PT/r06cP3339v67CaPYuXc3zwwQe89tprPPPMM+Tm5hIcHMyTTz7J9OnTzW2mTZtGYWEh48aNIy8vj5tuuolNmzbh7Fz/mSchRPNWscV3cPD9ODg0bPY40VwP3abeq3tY2sdpZ9mtK8TNTs37HTXY1TcuowF2LjI97zMB7Cz+MS6EaGFCQ0N5++23ad++PYqisGrVKu655x5+//13rr/+eluH12xZfCbaw8OD9957j9TUVIqLizl16hQzZ87E0dHR3EalUvHmm2+SnZ1NSUkJmzdvJjo62tKhCCGaiUuXDnPh4q+oVHZowsY2uL+kK5LopuBIQTFzTmcB8Ga7EMJdGnCPx9Fv4WKKaWfC2IbN2AshrO/gwYMMHDgQd3d3AgICePTRRzl3zrRL6ccff0xwcLC55LXCPffcw2OPPWZ+/b///Y+4uDicnZ2JiopixowZlJeX1zqGIUOG8H//93+0b9+e6OhoZs2ahbu7O7t377bMm2ylmuY+uEKIVqWiFtq/7UBcXEIb1JeiKOxrQitzlBqNPHtES6miMMDXk4eDGhCTosCO903Pez0OjvVcGk8I0Sjy8vLo378/sbGxJCYmsmnTJnJycnjggQcAuP/++zl//jxbt241X3PhwgU2bdpkXhp4+/btjBw5kkmTJnH48GGWLFnCypUrmTVrVr1iMhgMrF27lsLCQrkXrYHk74BCCJsqLs4gN3cjAJrw+m/xXSHlXCHnC0txtFfTOaQe22hb2LtncjhQUIyPgx3vdghrWHlJ6k7ISAI7J7jhScsFKUQTVlxeTIoupVHHjPSKxMW+njf+XmHRokXExsYye/Zs87Hly5cTFhbG8ePHiY6OZuDAgaxZs4bbb78dgC+++AI/Pz9uu+02AGbMmMFLL73EqFGjAIiKiuKtt95i2rRpvP7667WO5cCBA/Tp04eSkhLc3d356quv6NSpU4PfY2smSbQQwqbS0legKAbatOmLp0fnBvdXUcrRNcQLJ/v6rzNtCUm6Qham5gAwNzoMf6cGbvpSMQvd/WFwb8CNiUI0Iym6FB789sFGHfOzwZ/RybfhCeb+/fvZunUr7u7uV507deoU0dHRjBgxgieeeIIPP/wQJycnVq9ezUMPPWRe6Wz//v3s2LGj0syzwWCgpKSEoqIiXF1rd/N0hw4dSE5ORqfT8cUXXzBq1Ch+/vlnSaQbQJJoIYTNlJXpyMz8DIBwTcNnoeGKeugI29ZDFxoMTDyixQgMC2jDEH/vhnWYexRO/ACoZItv0apEekXy2eDPGn1MSygoKGDIkCHMnTv3qnMVe2UMGTIERVHYuHEjvXr1Yvv27SxYsKBSHzNmzODee69eO78uCzI4OjrSrl07AHr06MHevXt5//33WbJkSV3flrhMkmghhM1kZKzGYCjC3T0GH5+bLdJnxcocPW1cDz3zVBani/UEOTkwq31Iwzvc+YHpa8fB4Htdw/sToplwsXexyKywLcTFxfHll18SERGBvX3VKZezszP33nsvq1ev5uTJk3To0IG4uLhKfRw7dsycAFuK0WhEr9dbtM/WRpJoIYRNGAx60tJXAaDRPGGRpejyiko5mVsAQJzGu8H91de2C/msyDDdff9ejAZvhwZ+1OZnwh+XZ+L6TmpgdEIIS9PpdCQnJ1c65uvry/jx41m6dCnDhw9n2rRp+Pj4cPLkSdauXcuyZcuwszOVnI0YMYLBgwdz6NAhHnmk8qo706dPZ/DgwWg0Gu677z7UajX79+/n4MGDzJw5s1bxvfzyywwcOBCNRsOlS5dYs2YN27Zt44cffrDI+2+tJIkWQthEdvZXlJaew8kpiAD/QRbpc5/WNAsd5eeGr3sDlpFrgLyycqYcTQNgTIgft/h4NLzTPR+BsQw0fSGsV8P7E0JY1LZt24iNja10bOzYsSxbtowdO3bw4osvcuedd6LX6wkPD+euu+6qtLtz//798fHx4dixYzz88MOV+omPj+fbb7/lzTffZO7cuTg4OBATE8Pjjz9e6/hyc3MZOXIkWVlZeHl50bVrV3744QfuuOOOhr3xVk6SaCFEo1MUI9q0ZQBowh5DrW7gDXeXJZ6x/frQ/ziRQZa+jCgXJ169LqjhHZbkQ+IK0/N+zza8PyGERa1cuZKVK1dWe759+/asX7++xj7UajWZmZnVno+Pjyc+Pr7a84qi1Nj/J598UuN5UT+yTrQQotGdO7eZoqIU7O09CA5+wGL9muuhbXRT4de5eXyZcxE1sKijBjc7C6wOkrQS9PngFw3tq/8hKoQQonFJEi2EaHQVm6uEhIzA3v7qpZ/qo8xgZH9aHmCbmegcfRkvHTeVcUwKDyDOywIboZSXwu7Fpud9nwW1fGQLIURTIZ/IQohGlZeXiE63D5XKkbDQURbr91BmPvpyI96uDkT5WSYxry1FUXjuWBoXygx0cXdhSkSAZTo++AVcygT3QOhquRl7IYQQDSdJtBCiUVXMQgcFDsXJyd9i/SaeuQBAD00b1OqGr/RRF2uyLrD5fD5OahUfdNLgaIkZY0X5c1m7G58Ce9vcKCmEEKJqkkQLIRpNYeEpzp1LAECjqf2d5bVRsTJHXCOXcqQW65l+MgOAlyKDiHFr+FbBAJzcDLmHwdEdeoyxTJ9CCCEsRpJoIUSj0WqXAQp+fgNwc7PchiGKophX5ujZiEm0QVGYdERLocHIjV5ujAuz4FbcFVt89xgNLt6W61cIIYRFSBIthGgUev1ZsrI3AJbb4rtC+sVici/psVer6BbmbdG+a7Ik7Sy7dYW42al5v6MGOwtsGANARhKc2Q5qe7jxacv0KYQQwqIkiRZCNIr09FUoSilenrF4efWwaN9Jl5e2uz7EC2cHCywrVwtHCop5+3QWAG+1CyHcxYI1yzsWmr52vg+8Qi3XrxBCCIuRJFoIYXXl5QWkZ6wGQBNumS2+r5SYarqpsLFKOUqNRiYcSaVUUbjD15PhQT6W6/xCChz52vS870TL9SuEEMKiJIkWQlhdZtY6ysvzcXGJoK3fAIv339j10PPP5HCooAQfBzvmdwiz7C8Fu/4FihHaDYDAzpbrVwjRYqlUKjZs2GDrMFodSaKFEFZlNJah1Zq2nA3XPI5KZdlyi0slZRzLuQQ0ziYribpCPkjNAWBedBj+TpbZshyAwvPw+39Nz/vKFt9CNAejR49m6NChtg6j1t5++21UKhWTJ0+2dSjNniTRQgirys39Dr0+CwcHXwID77V4/79r81AUCPNxwd/T2eL9X6nQYGDikVSMwH0BbRjs723ZAfYuhfJiCOoOkX+zbN9CiFZv7969LFmyhK5du9o6lBZBkmghhNUoimLeXCUsbBR2dpbfMCQxtaKUw4J1ydV461QWKcWlBDs5MKt9iGU7Ly2C3z42Pe/3LFi4blwIYRsHDx5k4MCBuLu7ExAQwKOPPsq5c+cA+PjjjwkODsZoNFa65p577uGxxx4zv/7f//5HXFwczs7OREVFMWPGDMrLy+sUR0FBASNGjGDp0qW0adO46+m3VJJECyGs5sKFXykoOIKdnSuhISOsMkbS5ZsKrV3KsfV8PiszTD/43ovR4OVgb9kBkldD0Xnw1kDHeyzbtxDCJvLy8ujfvz+xsbEkJiayadMmcnJyeOCBBwC4//77OX/+PFu3bjVfc+HCBTZt2sSIEabPzO3btzNy5EgmTZrE4cOHWbJkCStXrmTWrFl1imX8+PEMGjSIAQMsf19Ka2XhnwJCCPEnbcUW30H34+DgbfH+yw1GkrV5gHWT6LyycqYcTQNgbIgff/PxsOwARgPsWmR63mci2MlHsxAVjMXF6E+fbtQxnaKiULs0fPfRRYsWERsby+zZs83Hli9fTlhYGMePHyc6OpqBAweyZs0abr/9dgC++OIL/Pz8uO222wCYMWMGL730EqNGjQIgKiqKt956i2nTpvH666/XKo61a9eyb98+9u7d2+D3JP4kn9RCCKu4dOkQFy7uQKWyQxP22LUvqIej2ZcoLDXg4WRPdICFE9srvHIig+zSMq5zceIf1wVbfoAjX8PFM+DSBmKtM2MvRHOlP32aM8Pua9QxI778Apfrr29wP/v372fr1q24u7tfde7UqVNER0czYsQInnjiCT788EOcnJxYvXo1Dz30EGq12tzHjh07Ks08GwwGSkpKKCoqwtXVtcYY0tLSmDRpEj/99BPOzta9b6S1kSRaCGEVFbXQ/v7/h4uLdTYMqdhkJTa8DXZq69QQ/y/3IutzLmKngg86aXC1s3AVnKL8ubnKDePA0c2y/QvRzDlFRRHx5ReNPqYlFBQUMGTIEObOnXvVuaCgIACGDBmCoihs3LiRXr16sX37dhYsWFCpjxkzZnDvvVffmF2bpDgpKYnc3Fzi4uLMxwwGA7/88guLFi1Cr9djZ9c4m1S1NJJECyEsrrg4ndzc7wDLb/F9pYokuofGOqUcOfoyXjqWDsCzmgDiPK2Q4KbugMx9YO9sSqKFEJWoXVwsMitsC3FxcXz55ZdERERgb191yuXs7My9997L6tWrOXnyJB06dKiU8MbFxXHs2DHatWtXrxhuv/12Dhw4UOnYmDFjiImJ4cUXX5QEugEkiRZCWJw2bTmKYsCnTT88PKz3w68iie4ZYfkkWlEUph5N42K5ga7uLkyJCLD4GADseN/0tfvD4OZnnTGEEFal0+lITk6udMzX15fx48ezdOlShg8fzrRp0/Dx8eHkyZOsXbuWZcuWmRPYESNGMHjwYA4dOsQjjzxSqZ/p06czePBgNBoN9913H2q1mv3793Pw4EFmzpx5zdg8PDzo3Lnyxk1ubm74+vpedVzUjazOIYSwqLKyPDIzPwdAY8VZ6CxdMRl5xahV0D3M2+L9r866QMKFfJzUKhZ20uCotsLHZc5hOPEjoII+EyzfvxCiUWzbto3Y2NhKjxkzZhAcHMyOHTswGAzceeeddOnShcmTJ+Pt7W2ueQbo378/Pj4+HDt2jIcffrhS3/Hx8Xz77bf8+OOP9OrVixtvvJEFCxYQHh7e2G9T/IXMRAshLCo9YzVGYzHu7h3x8bnJauNUzEJ3DPLEzcmyH2WpxXqmn8wA4OXIIGLcGn6XfpV2fmD62nEI+F5nnTGEEFa1cuVKVq5cWe359u3bs379+hr7UKvVZGZmVns+Pj6e+Pj4as8rinLNOK+0bdu2OrUXVZOZaCGExRgMetLSVgGmWmiVFTcMSTxTscmKZUs5DIrCxCNaigxG+ni7MS6srUX7N8vPhAPrTM/7TbLOGEIIIaxGkmghhMVkZ6+nrOw8Tk5B+Pv/n1XHMt9UGGHZnQoXa3P5TVeIm52a92M0qK31i8DuxWAsg/B+ENrTOmMIIYSwGkmihRAWoSgGUrXLANBoxqJWO1htrKLScg5n5QOW3WTlcEEx81KyAXirfQgaF8tvUw5AiQ4SV5ie933WOmMIIYSwKkmihRAWcfbcZoqLz2Bv70lw0ANWHSs5LQ+DUSHIy5kQb8vUK+uNRiYcTqVUUbjT15PhgZad4a4kaSWUXoK2MdD+TuuNI4QQwmokiRZCNJiiKKSmmjZXCQ0Zgb29dTcMSbpcD23JWej5KdkcLizBx8GO+TFh1qvnLi81lXIA9J0I1lj1QwghhNXJp7cQosF0uiTy839HpXIkNHSU1cdLTLXsTYV7dYUs0uYC8E6HMNo6Wq8UhQPr4FIWuAdCl/utN44QQgirkiRaCNFgFVt8BwUOxcnJSqtZXGY0KuzTVsxEN7zkorDcwMQjqRiB+wPbMKitd4P7rJbR+Oeydjc+DfZWqrkWQghhdZJECyEapLDwFOfObQZUVt1cpcKJ3AIulZTj6mhHxyCPBvf35qlMzhSXEuLkwMx2IRaIsAYnf4KzR8DRA3qOse5YQgghrEqSaCFEg2gvr8jh53c7bm5RVh8vMfUCYNql0N6uYR9hW8/nsyrzPADvxWjwcrDy/lM7Fpq+9hwNzl7WHUsIIYRVSRIthKg3vT6XrOwNAISHj2uUMc3rQzewHvpiWTlTjqYB8HioHzf7NHxWu0bpSZD6K6jtoffT1h1LCCGE1UkSLYSot7T0VShKKV5ecXh79WiUMS2VRL9yPJ3s0jLauTrxSlSwJUKr2c73TV+73A9eVi4bEUI0mtGjR6NSqVCpVDg4OBAQEMAdd9zB8uXLMRqNNV576NAhhg0bRkREBCqVivfee8/q8Z45c8Yc75WP3bt313idVqtl0KBBuLq64u/vzwsvvEB5eXmlNtu2bSMuLg4nJyfatWtX43bolrJu3TpiYmJwdnamS5cufPfdd5XOK4rC9OnTCQoKwsXFhQEDBnDixAmLjC1JtBCiXsrLC8jIWA2YtvhuDGcv6Uk9X4RKBbGa+ifRG3Iu8lVuHnYqWNhRg2sDy0Ku6cJpOPKN6XnfidYdSwjR6O666y6ysrI4c+YM33//PbfddhuTJk1i8ODBVyWaVyoqKiIqKoq3336bwMDARowYNm/eTFZWlvnRo0f1EyEGg4FBgwZRWlrKzp07WbVqFStXrmT69OnmNikpKQwaNIjbbruN5ORkJk+ezOOPP84PP/xQ7xi3bdtGREREted37tzJ8OHDGTt2LL///jtDhw5l6NChHDx40Nxm3rx5LFy4kI8++og9e/bg5uZGfHw8JSUl9Y7LTGmGdDqdAig6nc7WoQjRaqWmfqJsTohSdu66XTEaDY0y5vcHspTwF79V7nz353r3kVVSqsT88ocSsOV3Ze7pTAtGV4NvpyrK656K8p9hjTOeEE1UTT+/i4uLlcOHDyvFxcU2iKz+Ro0apdxzzz1XHU9ISFAAZenSpbXqJzw8XFmwYIFlg6tCSkqKAii///57ra/57rvvFLVarWRnZ5uPLV68WPH09FT0er2iKIoybdo05frrr6903YMPPqjEx8ebXxsMBmX27NlKRESE4uzsrHTt2lVZt25dteNu3bpVCQ8Pr/b8Aw88oAwaNKjSsd69eytPPvmkoiiKYjQalcDAQOWdd94xn8/Ly1OcnJyUTz/9tNp+a/tvUWaihRB1ZjSWoU1bDoAm7HFUqsb5KEm6fFNhj4j6zUIrisLUo1oulhvo6u7ClPBGmPkpPAe//9f0vJ9s8S1EfZTpDdU+yssMtW9beu22ltK/f3+6devG+vXrLdYnmMoq3N3da3zMnj37mv3cfffd+Pv7c9NNN/H111/X2HbXrl106dKFgIAA87H4+Hjy8/M5dOiQuc2AAQMqXRcfH8+uXbvMr+fMmcO///1vPvroIw4dOsSUKVN45JFH+Pnnn+vyLagUV01jpqSkkJ2dXamNl5cXvXv3rhRXfVn5VnQhREuUk7sRvT4LR0c/AgP/3mjjNnSTlf9knmfLhUs4qVV80CkcB7WVdiW80m9LobwEgmMh4mbrjydEC/TxpOqTrPDOvgye0M38evkL2ykvrboWObi9N39/Ls78+t//2ElJQVmlNuM/6t/AaP8UExPDH3/8YbH+AIKDg0lOTq6xjY9P9Wvou7u7M3/+fPr164darebLL79k6NChbNiwgbvvvrvKa7Kzsysl0ID5dXZ2do1t8vPzKS4uRq1WM3v2bDZv3kyfPn0AiIqK4tdff2XJkiXccsstNb6nusR1ZUxXxlpVm4aQJFoIUSeKoqBN/RiAsNBR2Nk1zoYhJWUGDmbogPrdVJhSpOf1k5kAvBIVRAc3Z4vGV6XSIvjN9L2i77Ngra3EhRBNkqIoqCz8/729vT3t2rWr9/V+fn5MnTrV/LpXr15kZmbyzjvvVJtEW8LJkycpKirijjvuqHS8tLSU2NhY82t3d3fzc4PBgF6vr3TskUce4aOPPrJanHUhSbQQok4uXNhOQeEx7OxcCQkZ0WjjHsjQUWZQ8HN3QuPjWqdrDYrCs0e0FBuN9PF244lQ6+6qaJa8GoovQJsI6Gi9H05CtHTj3q9+lvKv1WSPvVP9X3z+ms+OnNW3IWFd05EjR4iMjLRon1qtlk6dOtXY5pVXXuGVV16pdZ+9e/fmp59+qvZ8YGAgv/32W6VjOTk55nMVXyuOXdnG09MTFxcXCgoKANi4cSMhIZVXKHJy+nMy5spZ9j179vDiiy+ybds28zFPT89KcVU15pUxVRwLCgqq1KZ79+7Vvt/akiRaCFEnFVt8Bwc/iIND420Yknjmz1KOus7sfKjNZW9+Ie52at6P0aBujBlhQznsWmR63mcC2MnHrRD15eBkZ/O2dbVlyxYOHDjAlClTLNpvQ8s5qpKcnFwpyfyrPn36MGvWLHJzc/H39wfgp59+wtPT05zQ9+nT56rl5X766Sdz6UanTp1wcnJCq9XWWLpx5Sx7enp6jTPvffr0ISEhgcmTJ1c5ZmRkJIGBgSQkJJiT5vz8fPbs2cPTTzd8vX75VBdC1Fr+pYNcvLgTlcqOsNDG3ba64qbCnnW8qfBwQTHzUky1b2+1D0Hj0jjlJxz5Gi6eARcf6N54M/ZCiMan1+vJzs7GYDCQk5PDpk2bmDNnDoMHD2bkyJHVXldaWsrhw4fNzzMyMkhOTsbd3b3axLGh5RyrVq3C0dHRXEKxfv16li9fzrJly8xtvvrqK15++WWOHj0KwJ133kmnTp149NFHmTdvHtnZ2bz66quMHz/ePIv81FNPsWjRIqZNm8Zjjz3Gli1b+Pzzz9m4cSMAHh4ePP/880yZMgWj0chNN92ETqdjx44deHp6MmrUqDq/l0mTJnHLLbcwf/58Bg0axNq1a0lMTOTjj01ldCqVismTJzNz5kzat29PZGQkr732GsHBwQwdOrTe30OzGtfuaKJkiTshbOPAgWeVzQlRyoGDkxt1XKPRqHSf8YMS/uK3SlLqhVpfV2IwKLftOaIEbPldGfXHKcVoNFoxyisYjYry0d9My9ptmd04YwrRDLTUJe4ABVDs7e2Vtm3bKgMGDFCWL1+uGAw1L/9ZsdzcXx+33HKL1eJduXKl0rFjR8XV1VXx9PRUbrjhhquWmVuxYoXy1xTxzJkzysCBAxUXFxfFz89Pee6555SysrJKbbZu3ap0795dcXR0VKKiopQVK1ZUOm80GpX33ntP6dChg+Lg4KC0bdtWiY+PV37+ueplS6+1xJ2iKMrnn3+uREdHK46Ojsr111+vbNy48aoxX3vtNSUgIEBxcnJSbr/9duXYsWM19lnbf4sqRVGUhqfijSs/Px8vLy90Ol2l2hghhPUUF6exa/ftKIqBG3p9g4dHzTV5lnTqbAG3z/8ZJ3s1B96Ix9G+dkvqzTqVyQfaXHwd7Nl2QwfaOjpYOdLLUn6BVUPA3hmmHAI3v8YZV4gmrqaf3yUlJaSkpBAZGYmzcyPc+CtENWr7b1HWiRZC1Io2bTmKYsCnzU2NmkADJF2uh+4W6l3rBPq3vAL+pc0F4J0OoY2XQAPsWGj6GvuIJNBCCNFCSRIthLimsrKLZGauAyA8fFyjj590eX3ouFoubVdYbuDZo1qMwAOBbfi/tt7WC+6vcg7ByZ9MSwb0Gd944wohhGhUVkmiMzIyeOSRR/D19cXFxYUuXbqQmJhoPq8oCtOnTycoKAgXFxcGDBjAiRMnrBGKEMIC0tP/i9FYjLt7J9q0se6SUFVJrLipsJZJ9IxTmZwpLiXEyYGZ7UOtGdrVdn5g+tpxCPhENe7YQgghGo3Fk+iLFy/Sr18/HBwc+P777zl8+DDz58+nTZs/f/jNmzePhQsX8tFHH7Fnzx7c3NyIj4+npKTE0uEIIRrIYCghLf3fAIRrnrD4xgHXcrGwlFNnC4HazUQnnM/n35nnAXi/owZPe+stYXUVXQYcMM3Y029S440rhBCi0Vl8ibu5c+cSFhbGihUrzMeuXGhcURTee+89Xn31Ve655x4A/v3vfxMQEMCGDRt46KGHLB2SEKIBsrLXU1Z2AWfnEPz9Bzb6+Pu0plKOqLZu+Lg51tj2Ylk5U49qAXgi1I+b2nhYPb5K9iwGYzmE3wQhPRp3bCGEEI3K4jPRX3/9NT179uT+++/H39+f2NhYli5daj6fkpJCdnY2AwYMMB/z8vKid+/e7Nq1q8o+9Xo9+fn5lR5CCOtTFANarWnt0LCwMajVjXhz3mWJqX9usnItLx9PJ6e0nPauTrwSFWzt0Cor0UHiStPzfs827thCCCEancWT6NOnT7N48WLat2/PDz/8wNNPP82zzz7LqlWrAMjONm16EBAQUOm6gIAA87m/mjNnDl5eXuZHWFiYpcMWQlTh7NnNFBenYm/vRXDQAzaJIcm8U2HNO3BtyLnIhtw87FSwsGM4LnaNfN904goovQRtO0K7Oxp3bCGEEI3O4j9ljEYjcXFxzJ49m9jYWMaNG8cTTzzBRx99VO8+X375ZXQ6nfmRlpZmwYiFEFVRFIVUrWnXp9CQEdjbuzV6DKXlRvan5wE110Nn6Ut56Xg6AJPDA4j1dG2M8P5Urofdi03P+04EtSx8JIQQLZ3FP+mDgoLM+6hX6NixI1qtqU4xMDAQgJycnEptcnJyzOf+ysnJCU9Pz0oPIYR15ekSyc9PRq12JDSs7tuxWsKhTB36ciNtXB24rm3VSbyiKEw9mkZeuYGuHi5MDq/6c8SqDqyDgmzwCIIu9zf++EIIIRqdxZPofv36cezYsUrHjh8/Tnh4OGC6yTAwMJCEhATz+fz8fPbs2UOfPn0sHY4Qop60WtO9DIGB9+LkaJsNQyrWh+4R3qbaVUH+nXmerRcu4aRWsahjOA7qxl09BKPxz2Xtbnwa7Gu++VEIIUTLYPEkesqUKezevZvZs2dz8uRJ1qxZw8cff8z48aZNB1QqFZMnT2bmzJl8/fXXHDhwgJEjRxIcHMzQoUMtHY4Qoh4KCk9w7lwCoCJc87jN4kg8U5FEV10PnVKk542TmQD8IyqIaDcbbBV84kc4exQcPaDH6MYfXwhhU6NHj0alUqFSqXBwcCAgIIA77riD5cuXYzQaa7x26dKl3HzzzbRp04Y2bdowYMAAfvvtN6vG++uvv9KvXz/zXh4xMTEsWLCgxmvOnDljfo9XPnbv3l2p3bp164iJicHZ2ZkuXbrw3XffWfOtAPCvf/2LiIgInJ2d6d2791Xfv5KSEsaPH4+vry/u7u4MGzbsqmqI+rJ4Et2rVy+++uorPv30Uzp37sxbb73Fe++9x4gRI8xtpk2bxsSJExk3bhy9evWioKCATZs21bg/uRCi8Wi1nwDQ1m8Arq6R12htHYqikKT9cyb6rwyKwsQjqRQbjfTzdufx0LaNHaLJzstbfPccA85etolBCGFTd911F1lZWZw5c4bvv/+e2267jUmTJjF48GDKy8urvW7btm0MHz6crVu3smvXLsLCwrjzzjvJyMiwWqxubm5MmDCBX375hSNHjvDqq6/y6quv8vHHH1/z2s2bN5OVlWV+9Ojx51KeO3fuZPjw4YwdO5bff/+doUOHMnToUA4ePFjvWFeuXMmtt95a7fnPPvuMqVOn8vrrr7Nv3z66detGfHw8ubm55jZTpkzhm2++Yd26dfz8889kZmZy77331jumSpRmSKfTKYCi0+lsHYoQLU5JSbaSsCVG2ZwQpeTlJdksjtRzhUr4i98q7V7ZqBSXll91fuGZbCVgy+9Ku5/3K2nFehtEqChK2l5Fed1TUWb4KoouwzYxCNGM1PTzu7i4WDl8+LBSXFxsg8jqb9SoUco999xz1fGEhAQFUJYuXVrrvsrLyxUPDw9l1apVFozw2v7+978rjzzySLXnU1JSFED5/fffq23zwAMPKIMGDap0rHfv3sqTTz5pfl1SUqI899xzSnBwsOLq6qrccMMNytatW6vtc8WKFcott9xS7fkbbrhBGT9+vPm1wWBQgoODlTlz5iiKoih5eXmKg4ODsm7dOnObI0eOKICya9euavut7b9FuYVcCFFJWtoqFKUUL68eeHnF2SyOiq2+O4d44exQedfBQwXFzEsxLYk5s30ooc42qkPe8b7pa9cHwLOR16UWohUpKymp9lFeWlrrtmWl+mu2tZT+/fvTrVs31q9fX+trioqKKCsrw8en+iU9t2/fjru7e42P1atX13rM33//nZ07d3LLLbdcs+3dd9+Nv78/N910E19//XWlc7t27aq0BwhAfHx8pT1AJkyYwK5du1i7di1//PEH999/P3fddRcnTpyodbwVSktLSUpKqjSmWq1mwIAB5jGTkpIoKyur1CYmJgaNRlPt3iR1YfEdC4UQzVd5+SUyMtcAEK4ZZ9NYzDcVaiqXcuiNRiYcTqVMURjo58UDgdfehMUqzp+CI9+YnvedaJsYhGglFo66r9pzkbE9ufelN8yvPxw3gnK9vsq2oZ068+Drb5tfL53wGMWXKm/g9txn3zYs2CvExMTwxx9/1Lr9iy++SHBw8FXJ6JV69uxJcnJyjf38dS+OqoSGhnL27FnKy8t54403ePzx6u9/cXd3Z/78+fTr1w+1Ws2XX37J0KFD2bBhA3fffTdg2gekpj1AtFotK1asQKvVEhxsmnR4/vnn2bRpEytWrGD27NnXjPlK586dw2AwVDnm0aNHzTE5Ojri7e1dbVwNIUm0EMIsI/Mzyssv4ep6HX5+/W0aS0US3TOicpL8Tko2RwpL8HWwZ16H0GpX7bC6XYsABdrfCf4dbRODEKJJUxSl1p9Rb7/9NmvXrmXbtm013iPm4uJCu3btGhzb9u3bKSgoYPfu3bz00ku0a9eO4cOHV9nWz8+PqVOnml/36tWLzMxM3nnnHXMSfS0HDhzAYDAQHR1d6bher8fX1xcwJdpXLpNcXl5OWVkZ7u7u5mOvvPIKr7zySq3fpzVJEi2EAMBoLCMtbQUAGs1YVCrbVXvpiss4lnMJqLzJyp68Av6lNd0wMr9DGG0dG38bcgAKzkKyacaefpNsE4MQrcizq76o9pzqL5sbPfNxDaUMf1kC84lFyxsU17UcOXKEyMhr35z9z3/+k7fffpvNmzfTtWvXGttu376dgQMH1thmyZIllRZ0qEpFXF26dCEnJ4c33nij2iS6Kr179+ann34yvw4MDKxxD5CCggLs7OxISkrCzq5yiV5FkhwcHFxpln39+vV8+eWXlcpTKkpd/Pz8sLOzq3HMwMBASktLycvLqzQbXdPeJHUhSbQQAoCcnG/R67NxdGxLYMBQm8aSnJaHooDGxxV/D9OMTGG5gWePaFGABwN9uKutDVfC2LsUyksgOA7C+9kuDiFaCYc6rN5lrbZ1tWXLFg4cOMCUKVNqbDdv3jxmzZrFDz/8QM+ePa/Zr6XKOa5kNBrRV1MCU53k5GSCgoLMr/v06UNCQgKTJ082H/vpp5/Me4DExsZiMBjIzc3l5ptvrrJPe3v7SrPs/v7+1c68Ozo60qNHDxISEsxLJBuNRhISEpgwYQIAPXr0wMHBgYSEBIYNGwbAsWPH0Gq1FtmbRJJoIQSKopg3VwkLHYWdnZNN40k6Y7qpsOcVs9AzTmWSWlJKiJMDb7UPsVVoUFoIv11eCqrfs2CrchIhRJOh1+vJzs7GYDCQk5PDpk2bmDNnDoMHD2bkyJHVXjd37lymT5/OmjVriIiIMNfpVtwgWJWGlnP861//QqPREBMTA8Avv/zCP//5T5599llzm0WLFvHVV1+ZN8ZbtWoVjo6OxMbGAqYZ4uXLl7Ns2TLzNZMmTeKWW25h/vz5DBo0iLVr15KYmGheOi86OpoRI0YwcuRI5s+fT2xsLGfPniUhIYGuXbsyaNCgOr+XqVOnMmrUKHr27MkNN9zAe++9R2FhIWPGjAHAy8uLsWPHMnXqVHx8fPD09GTixIn06dOHG2+8sX7fwCtIEi2E4MKFXygoPIadnSshIQ/bOhwSK24qvFwPnXA+n39nngfg/Y4aPO3tqr3W6n5fDcUXoU0EdKxdLaAQomXbtGkTQUFB2Nvb06ZNG7p168bChQsZNWoUanX1pXGLFy+mtLSU++6rfOPk66+/zhtvvGGVWI1GIy+//DIpKSnY29tz3XXXMXfuXJ588klzm3PnznHq1KlK17311lukpqZib29PTEwMn332WaW4+/bty5o1a3j11Vd55ZVXaN++PRs2bKBz587mNitWrGDmzJk899xzZGRk4Ofnx4033sjgwYPr9V4efPBBzp49y/Tp08nOzqZ79+5s2rSp0kz8ggULUKvVDBs2DL1eT3x8PB9++GG9xvsrlaIoikV6akT5+fl4eXmh0+nw9PS0dThCNHv7fn+Eixd3ERb2GNHt/2HTWMoNRrrO+JGiUgObJt+Mv68rt/52lNzScsaFtuVNW85CG8rhg1jI08L//RNueMJ2sQjRDNX087ukpISUlBQiIyNl8zVhU7X9tygz0UK0cvn5B7h4cRcqlR2asDG2Doej2ZcoKjXg4WxP+7buPHVES25pOe1dnXg5KujaHVjTkf+ZEmhXX+he8007QgghWjbZbEWIVi71ci10gP8QnJ1tv2FI4uV66DhNG74+p+Obs3nYqeCDjuG42NnwI0tRYMflLb5vGAeOrraLRQghhM1JEi1EK1ZcrCU393sANJrqF9pvTBX10B1CPXnpeDoAU8ID6e5p46Q15RfISgZ7F+glZRxCCNHaSTmHEK2YNm05YMTH52Y8PJrGhiH7LifR25VSdOVGunu4Mim8bss1WcXOy7PQsY+Am69tYxFCCGFzMhMtRCtVWnqBzMx1AIRrmsbMamZeMZm6ElQq+F1djrNaxQcdNTiobbyMXPZBOLkZVGroM962sQghhGgSJIkWopVKz1iN0ViCh/v1tGnT19bhAH+WcigeDmCv5tXrgmnv1gTu0t/5gelrp3vA59q7jwkhhGj5JIkWohUyGEpIT/83YKqFVjWRDUMqbios93bkJm93Hgvxs3FEgC4dDl7ecrjvszW3FUII0WpIEi1EK5SV9SVlZRdwdg7B3///bB2O2aYTZwFw8nHmvY4a1E0hud+9GIzlEHEzhMTZOhohhBBNhCTRQrQyimJAm2baqlUT9hhqddO4v3jv+XxyzhcB8GKPcEKdHW0cEVCcB0krTc/7TbJlJEIIIZoYSaKFaGXOnv2J4mIt9vbeBAc/YOtwANAbjUzYdRKVAk6u9jzRLtDWIZkkrYDSAvDvBO0G2DoaIYQQTYgk0UK0IoqikKr9GIDQ0BHY2TWNDUPmpWSTnl0AwC3X+TWNGu1yvamUA6DvRGgKMQkhmpzRo0ejUqlQqVQ4ODgQEBDAHXfcwfLlyzEajTVeu379enr27Im3tzdubm50796d//znP1aPWa/X849//IPw8HCcnJyIiIhg+fLlNV6j1WoZNGgQrq6u+Pv788ILL1BeXl6pzbZt24iLi8PJyYl27dqxcuVKK74Lk3Xr1hETE4OzszNdunThu+++q3ReURSmT59OUFAQLi4uDBgwgBMnTlhkbEmihWhF8vL2kp+/H7XakdDQkbYOB4A9eQV8qM1FfbEUgH6RTWQN5j8+h4Ic8AiGzvfZOhohRBN21113kZWVxZkzZ/j++++57bbbmDRpEoMHD74q0bySj48P//jHP9i1axd//PEHY8aMYcyYMfzwww9WjfeBBx4gISGBTz75hGPHjvHpp5/SoUOHatsbDAYGDRpEaWkpO3fuZNWqVaxcuZLp06eb26SkpDBo0CBuu+02kpOTmTx5Mo8//niD3su2bduIiIio9vzOnTsZPnw4Y8eO5ffff2fo0KEMHTqUgwcPmtvMmzePhQsX8tFHH7Fnzx7c3NyIj4+npKSk3nGZKc2QTqdTAEWn09k6FCGaleTkx5XNCVHKkSP/sHUoiqIoyqWycqXXzkNKQMI+5bpXv1PCX/xWOZCeZ+uwFMVgUJQPeirK656K8uv7to5GiBajpp/fxcXFyuHDh5Xi4mIbRFZ/o0aNUu65556rjickJCiAsnTp0jr1Fxsbq7z66qsWiu5q33//veLl5aWcP3++1td89913ilqtVrKzs83HFi9erHh6eip6vV5RFEWZNm2acv3111e67sEHH1Ti4+PNrw0GgzJ79mwlIiJCcXZ2Vrp27aqsW7eu2nG3bt2qhIeHV3v+gQceUAYNGlTpWO/evZUnn3xSURRFMRqNSmBgoPLOO++Yz+fl5SlOTk7Kp59+Wm2/tf23KDPRQrQSBYUnOHd+C6BCoxlr63AAeONkJtqSUgLLoLzMiKujHTGBHrYOC078AOeOg5Mn9Bht62iEaPWMpYZqH0qZsQ5tDddsayn9+/enW7durF+/vlbtFUUhISGBY8eO8be//a3adtu3b8fd3b3Gx+rVq6u9/uuvv6Znz57MmzePkJAQoqOjef755ykuLq72ml27dtGlSxcCAv7cPTY+Pp78/HwOHTpkbjNgQOV7R+Lj49m1a5f59Zw5c/j3v//NRx99xKFDh5gyZQqPPPIIP//88zW/P9XFVdOYKSkpZGdnV2rj5eVF7969K8VVX03jtnwhhNVptaYVOdq2vRNXV9tvGPLTOR3/zToPwN8dXFkBxGq8sbdrAr/b77i8xXfPMeDsadtYhBBkTt9Z7TnnDm3wG9PZ/Drrrd1XJdYVHCO98H+yq/l19tzfMBZWLrcIffvmBkb7p5iYGP74448a2+h0OkJCQtDr9djZ2fHhhx9yxx13VNu+Z8+eJCcn19jnlcnuX50+fZpff/0VZ2dnvvrqK86dO8czzzzD+fPnWbFiRZXXZGdnX9Vnxevs7Owa2+Tn51NcXIxarWb27Nls3ryZPn36ABAVFcWvv/7KkiVLuOWWW2p8T3WJ68qYroy1qjYNIUm0EK1AiT6b7Oz/AU1ji+/zpeVMPZYGwJOhbcnbZ1ofuke4jy3DMknbC9qdoHaA3k/bOhohRDOmKMo1b5T28PAgOTmZgoICEhISmDp1KlFRUdx6661VtndxcaFdu3b1jsloNKJSqVi9ejVeXl4AvPvuu9x33318+OGHuLi41Lvvmpw8eZKioqKrfkEoLS0lNjbW/Nrd3d383GAwoNfrKx175JFH+Oijj6wSY11JEi1EK5CetgpFKcPLqydeXrHXvsCKFEXhxeNpnC0tJ9rVmZejgrjzq+MA9AhvY9PYANj5vulr1wfBM8i2sQghAAh+s2+15/6apAa9dmMNbSu/DnzxhgbFdS1HjhwhMrLmv/yp1WpzUty9e3eOHDnCnDlzqk2it2/fzsCBA2vsc8mSJYwYMaLKc0FBQYSEhJgTaICOHTuiKArp6em0b9/+qmsCAwP57bffKh3Lyckxn6v4WnHsyjaenp64uLhQUGBagWnjxo2EhIRUaufk5GR+fuUs+549e3jxxRfZtm2b+Zin559/HaxuzCtjqjgWFBRUqU337t2vep91JUm0EC1cefkl0jPWABAePs7G0cBXuXl8e1aHvQo+6KQhv6gU7YUiVCpTOYdNnTsJR741Pe870baxCCHM1I52Nm9bV1u2bOHAgQNMmTKlTtcZjUb0en215xtaztGvXz/WrVtHQUGBeYb3+PHjqNVqQkNDq7ymT58+zJo1i9zcXPz9/QH46aef8PT0pFOnTuY2f11e7qeffjKXbnTq1AknJye0Wm2NpRtXzrKnp6djb29f7cx7nz59SEhIYPLkyVWOGRkZSWBgIAkJCeakOT8/nz179vD00w3/S6Mk0UK0cBmZazEYCnB1vQ4/39tsGktmSSkvH08HYGpEIN08XPn+QBYAHQI88HR2sGV4sGsRoED0XeAfY9tYhBDNhl6vJzs7G4PBQE5ODps2bWLOnDkMHjyYkSOrX050zpw59OzZk+uuuw69Xs93333Hf/7zHxYvXlztNQ0t53j44Yd56623GDNmDDNmzODcuXO88MILPPbYY+ZSjq+++oqXX36Zo0ePAnDnnXfSqVMnHn30UebNm0d2djavvvoq48ePN88iP/XUUyxatIhp06bx2GOPsWXLFj7//HM2btwImMpWnn/+eaZMmYLRaOSmm25Cp9OxY8cOPD09GTVqVJ3fy6RJk7jllluYP38+gwYNYu3atSQmJvLxx6b9EFQqFZMnT2bmzJm0b9+eyMhIXnvtNYKDgxk6dGi9v4cVJIkWogUzGktJS1sJQLjmcVQq2920pygKU46moSs3EOvhyrMa00xJUupFoAmUchTkQrJpxp6+z9o2FiFEs7Jp0yaCgoKwt7enTZs2dOvWjYULFzJq1CjU6uo/dwsLC3nmmWdIT0/HxcWFmJgY/vvf//Lggw9aLVZ3d3d++uknJk6cSM+ePfH19eWBBx5g5syZ5jY6nY5jx46ZX9vZ2fHtt9/y9NNP06dPH9zc3Bg1ahRvvvmmuU1kZCQbN25kypQpvP/++4SGhrJs2TLi4+PNbd566y3atm3LnDlzOH36NN7e3sTFxfHKK6/U67307duXNWvW8Oqrr/LKK6/Qvn17NmzYQOfOf95oOm3aNAoLCxk3bhx5eXncdNNNbNq0CWdn53qNeSWVoihKg3tpZPn5+Xh5eaHT6SrVxgghKsvKWs/hIy/g6NiWfn1/Rq12uvZFVrIi4xwvH0/HWa1ic68OtHM1fYAN/dcOktPyWPBgN/4eW/WfEhvFlpnwyzsQ0gMeT5AdCoWwgpp+fpeUlJCSkkJkZKRFEhwh6qu2/xabwFpSQghrUBSFVO1SAMJCR9s0gT5dpOfNkxkAvHpdsDmBLikzcChTB0BPW67MUVoIe01LANJvkiTQQgghrkmSaCFaqPMXfqaw8Dh2dm6EhDxsszjKjQoTj6RSbFS4uY07j4X4mc/9ka6jzKDQ1sOJ0DbWWVapVn7/LxRfBJ8oiBlsuziEEEI0G5JEC9FCpaaabqwICX4IBwfblT39S5tLUn4RnvZq3ovRoL5iljcx9QIAPcPbXHMtVasxlF++oRDoMx7U1rtbXwghRMshSbQQLVB+/h/k5e1BpbInLGy0zeI4cKmId86YVt+Y1T6UEGfHSueTzjSBmwoPb4A8Lbj6Qfeq11UVQggh/kqSaCFaoIpa6ICAwTg7B9skhhKDkYlHtJQrMKitF/cFVE6UFUUhSWvjJFpRYMflzVVuGAcONiwpEUII0axIEi1EC1NcrCU3dxMAGhtu8T0vJZujhSX4OdgzNzrsqnKNU2cLySsqw8lezfXBXtX0YmUpP0P2H+DgCjfYfjt0IYQQzYck0UK0MFrtcsCIr8/f8HC3zYYhu/IKWJyWC8D8mDD8HK9ekj7pcj10tzBvHO1t9FG0Y6Hpa+wj4GrD1UGEEEI0O5JEC9GClJZeIDNrHWC7WeiCcgPPHtGiAMODfIj3q3qWOfFyPXRPW5VyZB+AUwmgUptuKBRCCCHqQJJoIVqQ9Iz/YjSW4OFxPW3a9LFJDK+fzCCtpJQwZ0febBdSbTub10Pv/MD0tdNQaBNhmxiEEEI0W5JEC9FCGAzFpKf/B4BwzTibLBn34zkdq7MuoALej9HgYV/1cnEXCks5fbYQsFESnZcGB74wPe8nW3wLIYSoO0mihWghsrK+pKzsAs7OobRte1ejj3++tJznjqUB8GRYW/q2ca+2bVKqaRa6nb873q6O1bazmt2LQTFA5N8gOLbxxxdCtBijR49GpVKhUqlwcHAgICCAO+64g+XLl2M0Gmvdz9q1a1GpVAwdOtR6wf7Fjh07sLe3p3v37jW2O3PmjPk9XvnYvXt3pXbr1q0jJiYGZ2dnunTpwnfffWfF6E3+9a9/ERERgbOzM7179+a3336rdL6kpITx48fj6+uLu7s7w4YNIycnxyJjSxItRAugKAa0aZ8AoAl7DLX66hv5rDu+wrTjaZwtLSfa1ZmXIoNqbF+RRPfQ2GAWuvgi7Ftlet53UuOPL4Roce666y6ysrI4c+YM33//PbfddhuTJk1i8ODBlJeXX/P6M2fO8Pzzz3PzzTc3QrQmeXl5jBw5kttvv73W12zevJmsrCzzo0ePHuZzO3fuZPjw4YwdO5bff/+doUOHMnToUA4ePFjvGFeuXMmtt95a7fnPPvuMqVOn8vrrr7Nv3z66detGfHw8ubm55jZTpkzhm2++Yd26dfz8889kZmZy77331jumK0kSLUQLkHv2R4qLtdjbexMcfH+jj78+5yIbz+qwV8GiThqc7Wr+aKlYmaNHhA2S6MTlUFoA/tdDu9r/8BBCiOo4OTkRGBhISEgIcXFxvPLKK/zvf//j+++/Z+XKlTVeazAYGDFiBDNmzCAqKqpxAgaeeuopHn74Yfr0qf39M76+vgQGBpofDg4O5nPvv/8+d911Fy+88AIdO3bkrbfeIi4ujkWLFpnb6PV6nn/+eUJCQnBzc6N3795s27at3u/h3Xff5YknnmDMmDF06tSJjz76CFdXV5YvXw6ATqfjk08+4d1336V///706NGDFStWsHPnzqtm0etDkmghmjlFUdBe3uI7NPQR7OxcG3X8zJJSXj6RDsBzEYF09ah5fH25gf3pOsAGK3OU62HPEtPzfs+CrbYaF0LUSWlpabWPsrIyi7a1lP79+9OtWzfWr19fY7s333wTf39/xo4dW6t+t2/fjru7e42P1atX19jHihUrOH36NK+//nqt3w/A3Xffjb+/PzfddBNff/11pXO7du1iwIABlY7Fx8eza9cu8+sJEyawa9cu1q5dyx9//MH999/PXXfdxYkTJ+oUB5j+2yUlJVUaU61WM2DAAPOYSUlJlJWVVWoTExODRqOpFFd9Ne7ffIUQFpeX9xv5l/5ArXYiLPTRRh3bqChMPqolv9xIrIcrEzUB17zmUGY+peVGfNwcifRza4Qor/DHZ1CQA54h0HlY444thKi32bNnV3uuffv2jBgxwvz6nXfeuSpZrhAeHs6YMWPMr9977z2KiooqtXnjjTcaFuwVYmJi+OOPP6o9/+uvv/LJJ5+QnJxc6z579ux5zfYBAdV/Fp84cYKXXnqJ7du3Y29fuzTQ3d2d+fPn069fP9RqNV9++SVDhw5lw4YN3H333QBkZ2dfNW5AQADZ2dkAaLVaVqxYgVarJTjYtJPu888/z6ZNm1ixYkWN/42rcu7cOQwGQ5VjHj161ByTo6Mj3t7e1cbVEJJEC9HMpWpNs9BBQcNwdPRr1LFXZpzjl4sFuKhVfNBJg7362jO7SZfXh47TtGncFUSMxj83V7nxabBzqLm9EEI0kKIo1X7OXbp0iUcffZSlS5fi51f7z24XFxfatWtXr3gMBgMPP/wwM2bMIDo6utbX+fn5MXXqVPPrXr16kZmZyTvvvGNOoq/lwIEDGAyGq8bV6/X4+voCpkS7U6dO5nPl5eWUlZXh7v7njeqvvPIKr7zySq1jtyZJooVoxgoKjnP+/DZAhSbssUYd+1RRCW+dygTg1euCaefqXKvrEi/XQ/ds7Hro45vg/Alw8oK4UY07thCiQWpKmv6apL7wwgu1bjt58uQGxXUtR44cITIysspzp06d4syZMwwZMsR8rGI1D3t7e44dO8Z111131XXbt29n4MCBNY67ZMmSSrPzFS5dukRiYiK///47EyZMMI+pKAr29vb8+OOP9O/fv1bvrXfv3vz000/m14GBgVetepGTk0NgYCAABQUF2NnZkZSUhJ1d5eVPK5Lk4ODgSrPs69ev58svv6xUnuLjY9pd1s/PDzs7uxrHDAwMpLS0lLy8vEqz0Ve2aQhJooVoxrTaZQC0bRuPq2vVH9TWUG5UmHhES7FR4W9t3BkTUrtZFEVRSErNA2ywPvSO901fe44BZ8/GHVsI0SCOjrVfCtNabetqy5YtHDhwgClTplR5PiYmhgMHDlQ69uqrr3Lp0iXef/99wsLCqryuIeUcnp6eV4354YcfsmXLFr744otqE/6qJCcnExT050pMffr0ISEhodIvJj/99JP5xsXY2FgMBgO5ubnVrkJib29faZbd39+/2pl3R0dHevToQUJCgnlZQKPRSEJCgvkXhB49euDg4EBCQgLDhplK+I4dO4ZWq63TDZXVkSRaiGaqRJ9Ndo7pxo7wRt7ie5E2h335RXjaq1kQo0Fdy7IM7YUizhXocbRT0yWk6u3ArSLtN0jbDXaO0PupxhtXCNEq6PV6srOzMRgM5OTksGnTJubMmcPgwYMZOXJkldc4OzvTuXPnSscqZkv/evxKDSnnUKvVV/Xt7+9/VSyLFi3iq6++IiEhAYBVq1bh6OhIbKxpXf3169ezfPlyli1bZr5m0qRJ3HLLLcyfP59Bgwaxdu1aEhMT+fhjU8lhdHQ0I0aMYOTIkcyfP5/Y2FjOnj1LQkICXbt2ZdCgQXV+P1OnTmXUqFH07NmTG264gffee4/CwkJz3buXlxdjx45l6tSp+Pj44OnpycSJE+nTpw833nhjncf7K0mihWim0tJWoihleHvfgJdX90Yb949LRfzzjOmGjNntQwlxrv1MTuLleujOIZ44O1S9m6FVVMxCd30APGtew1oIIepq06ZNBAUFYW9vT5s2bejWrRsLFy5k1KhRqNXNbyG0c+fOcerUqUrH3nrrLVJTU7G3tycmJobPPvuM++67z3y+b9++rFmzhldffZVXXnmF9u3bs2HDhkrJ+YoVK5g5cybPPfccGRkZ+Pn5ceONNzJ48OB6xfnggw9y9uxZpk+fTnZ2Nt27d2fTpk2VZuIXLFiAWq1m2LBh6PV64uPj+fDDD+s13l+pFEVRLNJTI8rPz8fLywudToenp/xZVrQ+5eWX+HXHTRgMBXTruhQ/v9rVsDVUicHInYnHOV5UwqC2Xiy7PqJONwe+vP4An/6mZdzfonjl/zpaMdIrnDsJi3oCCoz/Ddp2aJxxhRBXqennd0lJCSkpKURGRuLsXLt7LISwhtr+W2x+vx4JIcjI+BSDoQBX13b4+t7aaOO+nZLF8aIS2jraMy86rM6ra+xL/XNljkaz6wNAgeiBkkALIYSwGEmihWhmjMZS0tJWAqZaaJWqcf433nmxgCVpZwGY3yEMX8e6VYPpiss4nnsJaMSbCgtyIflT0/N+zzbOmEIIIVoFq//0ffvtt1GpVJXu1iwpKWH8+PH4+vri7u7OsGHDrlqiRAhRteycr9GX5uDo6E9g4JBrX2ABl8oNTDqqRQFGBPlwp1/dbwrcp72IokCEryttPZwsH2RV9iwBgx5CeoKm4XdiCyGEEBWsmkTv3buXJUuW0LVr10rHp0yZwjfffMO6dev4+eefyczM5N5777VmKEK0CIqimJe1CwsbjVrdOMno6yczSCspJczZkRntQurVh7mUo7FmofUFsPfyneP9JskW30IIISzKakl0QUEBI0aMYOnSpbRp8+cPTZ1OxyeffMK7775L//796dGjBytWrGDnzp3s3r3bWuEI0SKcP7+NwsIT2Nm5ExI8vFHG/PGcjjVZF1ABCztqcLev36oaFStz9Az3sWB0Nfj9P1CSBz5REFP3pZOEEEKImlgtiR4/fjyDBg1iwIABlY4nJSVRVlZW6XhMTAwajYZdu3ZZKxwhWoRU7VIAQoIfxMHB+ivTnCstZ+rRNACeCmtLH2/3a1xRtTKDkeS0PKCRdio0lMOuy0sY9Z0I6kZcTk8IIUSrYJV1oteuXcu+ffvYu3fvVeeys7NxdHSstP0imHbXyc7OrrI/vV6PXq83v87Pz7dovEI0B7r8/eTl7UGlsicsbIzVx1MUhRePp3GurJwObs68GFn/9ZWPZl2iuMyAp7M97drWLxGvk8MbQKcFVz/o1jgz9kIIIVoXi89Ep6WlMWnSJFavXm2xdR7nzJmDl5eX+VHdVphCtGTaVNMsdEDAEJydrb9hyJc5F9l4Voe9ChZ11OBsV/+Pi8TUC4CpHlqttnJtsqLAjvdMz3s/CQ4u1h1PCCFEq2TxJDopKYnc3Fzi4uKwt7fH3t6en3/+mYULF2Jvb09AQAClpaXk5eVVui4nJ4fAwMAq+3z55ZfR6XTmR1pamqXDFqJJKypKJffsD0DjbPGdUVLKKyfSAXg+IpAuHq4N6i8xtaIeuhFKOU5vg+wD4OAKvR63/nhCCCFaJYuXc9x+++0cOHCg0rExY8YQExPDiy++SFhYGA4ODiQkJDBs2DAAjh07hlarpU+fqpegcnJywsmpkZbEEqIJ0qYtB4z4+t6Cu7t1NwwxKgqTj2rJLzcS5+nKBE3AtS+6hkZdmaNii+/YR8G1kW5iFEII0epYfCbaw8ODzp07V3q4ubnh6+tL586d8fLyYuzYsUydOpWtW7eSlJTEmDFj6NOnDzfeeKOlwxGi2SstPU9W1joANI0wC70i4xzbLxbgolbxQUcN9g0sv8jIKyZLV4KdWkX3MG/LBFmdrD/g9FZQ2UGf8dYdSwghgNGjRzN06FBbh3FNhw4dYtiwYURERKBSqXjvvfdsHVKzZ5MdCxcsWMDgwYMZNmwYf/vb3wgMDGT9+vW2CEWIJi89/b8YjXo8PLrQxtu6v2ieLCph5qlMAF67LpjrXBt+X0PiGVM99PXBnrjWcZfDOtv5genr9UOhTbh1xxJCiCaotLS0yuNFRUVERUXx9ttvV1s+K+qmUZLobdu2VfqNx9nZmX/9619cuHCBwsJC1q9fL/9BhaiCwVBMesZ/gIotvq13U165UWHiYS3FRoVb2ngwOsTPIv0mXS7lsPpW33laOPil6Xlf2eJbCNE0vPvuu3Tp0gU3NzfCwsJ45plnKCgoMJ9PTU1lyJAhtGnTBjc3N66//nq+++478/mDBw8ycOBA3N3dCQgI4NFHH+XcuXPm87feeisTJkxg8uTJ+Pn5ER8fX2UcvXr14p133uGhhx6SElkLsclMtBCidjKzvqCs7CLOzmG0bVv1B6OlLNTm8PulIrzs7VgQE4baQgl7oyXRuxeDYoDIWyC4u3XHEkI0CkVRMBiKGv2hKIrF3oNarWbhwoUcOnSIVatWsWXLFqZNm2Y+P378ePR6Pb/88gsHDhxg7ty5uLublgLNy8ujf//+xMbGkpiYyKZNm8jJyeGBBx6oNMaqVatwdHRkx44dfPTRRxaLXdTMyn9bFULUl9FYTpp2OQAazVjUauv977r/UhHvnjGt0z4nOpRgZ0eL9FugL+dIlmldd6vuVFh8EZJWmZ73k1loIVoKo7GYbT93afRxb73lAHZ2DVuVqMLkyZPNzyMiIpg5cyZPPfUUH35o2hBKq9UybNgwunQxvc+oqChz+0WLFhEbG8vs2bPNx5YvX05YWBjHjx8nOjoagPbt2zNv3jyLxCtqT5JoIZqos2d/oLhEi4NDG4KD7rPaOMUGIxMOp1KuwJC23vzd39tifSdr8zAqEOLtQqCXZdaNr9LeT6CsEAI6w3W3W28cIYSoo82bNzNnzhyOHj1Kfn4+5eXllJSUUFRUhKurK88++yxPP/00P/74IwMGDGDYsGF07doVgP3797N161bzzPSVTp06ZU6ie/To0ajvSZhIEi1EE6QoinmL79CQR7Czs96GIW+nZHGiSI+/oz1vR4datO66UUo5ykpgzxLT877PghXrxoUQjUutduHWWw5cu6EVxrWEM2fOMHjwYJ5++mlmzZqFj48Pv/76K2PHjqW0tBRXV1cef/xx4uPj2bhxIz/++CNz5sxh/vz5TJw4kYKCAoYMGcLcuXOv6jso6M9Nt9zc3CwSr6gbSaKFaILy8vZw6dIB1GonQkMftdo4Oy5e4uO0swDM7xCGr4VXz6jYqbBnhBWT6D/WQmEueIZC53utN44QotGpVCqLlVXYQlJSEkajkfnz56NWm25D+/zzz69qFxYWxlNPPcVTTz3Fyy+/zNKlS5k4cSJxcXF8+eWXREREYG8vKVtTI/9FhGiCUrUfAxAUdB+Ojr5WGeNSuYFJR7UowCNBvtzh52XR/g1Ghd+1eYAVZ6KNRti5yPS8zzNg52CdcYQQogY6nY7k5ORKx3x9fWnXrh1lZWV88MEHDBkypMob/yZPnszAgQOJjo7m4sWLbN26lY4dOwKmmw6XLl3K8OHDmTZtGj4+Ppw8eZK1a9eybNky7Ozsah1jaWkphw8fNj/PyMggOTkZd3d32rVr17BvQCslq3MI0cQUFBzj/PmfATWasMesNs70kxmkl5ShcXbkjXbBFu//eM4lCvTluDna0SHAw+L9mwb5Hs6fACcviBtpnTGEEOIatm3bRmxsbKXHjBkz6NatG++++y5z586lc+fOrF69mjlz5lS61mAwMH78eDp27Mhdd91FdHS0+abD4OBgduzYgcFg4M4776RLly5MnjwZb29v88x2bWVmZppjy8rK4p///CexsbE8/vjjFvs+tDYqxZLruDSS/Px8vLy80Ol0eHp62jocISzq0OHnyc7+Cv+2A+nSZZFVxvjhnI5RB1JQAV/FtuNG76tvWmmo/+xO5bUNB7mpnR//fby3xfsH4JM7IW0P3DQFBrxhnTGEEBZT08/vkpISUlJSiIyMxNnZijciC3ENtf23KDPRQjQhJSVZ5OR8A4Am3DpbfJ8rLee5o2kAPB3mb5UEGiDp8k6FVivl0O42JdB2jtD7KeuMIYQQQlRDkmghmpC09JUoSjne3r3x8uxm8f4VRWHasTTOlZUT4+bMtEjr7RSapLXyyhw7Fpq+dn0QPGTHUyGEEI1Lkmghmojy8ktkZKwFTFt8W8MXORf57pwOB5WKRR01ONtZ5yMgN7+EtAvFqFUQq/G2/ADnTsCxy9viyhbfQgghbECSaCGaiIyMNRgMBbi5tcfX9xbL919SyivH0wF4PiKQzh7WWzYq8fL60B0CPfFwtsKKGTs/ABTo8H/QNtry/QshhBDXIEm0EE2A0agnLc20bbVG8zgqlWX/1zQqCpOParlkMNLD05XxGn+L9v9XiWdMSXRPa5RyXMqB/Z+anssstBBCCBuRJFqIJiA7+xv0pTk4OQYQGHC3xftfnnGO7RcLcFGr+aBjOPZq6+7qZ9V66N+WgKEUQm8AzY2W718IIYSoBUmihbAxRTGiTVsGQFjYaNRqR4v2f6KwhJmnMgF4vV0wUa5OFu3/r4pLDRzK0AFWSKL1l2Cv6XtFP9niWwghhO1IEi2EjZ0/v43CwhPY2bkTEjLcon2XGRUmHEmlxKhwm48Ho4Kts/vhlfan51FuVAjwdCK0jYtlO9/3HyjRgc91pnpoIYQQwkYkiRbCxlK1SwEICXkIe3vL7uy3MDWH/ZeK8bK3492YMFSNMHOblPpnKYdFxzOUwW7TLl70nQjq2m93K4QQQliaJNFC2JBOl0xe3m+oVA6EhY62aN/J+UUsSM0G4O3oUIKcLFsmUp0/k2gfy3Z86CvQpYFbW+hm2Rl7IYQQoq4kiRbChipmoQMDhuDsHGSxfosNRiYeSaVcgbv9vRnq722xvmtiNCrmJNqiK3Moyp+bq/R+EhxkS2AhRNMwevRohg4dauswrmnp0qXcfPPNtGnThjZt2jBgwAB+++03W4fVrEkSLYSNFBWd4ezZHwDTsnaW9PbpLE4U6fF3tOft6NBGKeMAOH2uAF1xGc4OajoFe1qw462QcwAc3KDnWMv1K4QQLUxpaWmVx7dt28bw4cPZunUru3btIiwsjDvvvJOMjIxGjrDlkCRaCBvRpn0CKPj63oq7eweL9fvrxUssST8LwLsxGnwc7C3W97VUrA/dLdQbB0vuhrjjfdPXuEfB1cJlIkIIYUXvvvsuXbp0wc3NjbCwMJ555hkKCgrM51NTUxkyZAht2rTBzc2N66+/nu+++858/uDBgwwcOBB3d3cCAgJ49NFHOXfunPn8rbfeyoQJE5g8eTJ+fn7Ex8dXGcfq1at55pln6N69OzExMSxbtgyj0UhCQoL13nwLJ0m0EDZQWnqOrKwvActu8X2p3MCkI1oAHg32ZYCvBWeDa6Fip8KeERYs5cjaD6e3gcoObnzGcv0KIZo8RVEoNBga/aEoisXeg1qtZuHChRw6dIhVq1axZcsWpk2bZj4/fvx49Ho9v/zyCwcOHGDu3Lm4u7sDkJeXR//+/YmNjSUxMZFNmzaRk5PDAw88UGmMVatW4ejoyI4dO/joo49qFVdRURFlZWX4+MjERH013hSVEMIsPf2/GI16PD264u3d22L9vnYigwx9GeHOjrxxXbDF+q2tfalW2GSlohb6+r9Dm3DL9SuEaPKKjEau++VAo4976m9dcLOzzApAkydPNj+PiIhg5syZPPXUU3z4oWm1Ia1Wy7Bhw+jSpQsAUVFR5vaLFi0iNjaW2bNnm48tX76csLAwjh8/TnR0NADt27dn3rx5dYrrxRdfJDg4mAEDBtT3rbV6kkQL0cgMhiLS0v8DgCb8CYvVK286q2Nt9gVUwMKOGtzsG3cJuPMFek6fKwQgTmOhJDpPa1qVA0ybqwghRDOzefNm5syZw9GjR8nPz6e8vJySkhKKiopwdXXl2Wef5emnn+bHH39kwIABDBs2jK5duwKwf/9+tm7dap6ZvtKpU6fMSXSPHj3qFNPbb7/N2rVr2bZtG87OcqN2fUkSLUQjy8z6gvLyPFycNfi3rbp2ra7Olpbx3LE0AJ7R+NPb++oPXGurWJWjvb873q4WWk5v14egGCDqVgjqZpk+hRDNhqtazam/dbHJuJZw5swZBg8ezNNPP82sWbPw8fHh119/ZezYsZSWluLq6srjjz9OfHw8Gzdu5Mcff2TOnDnMnz+fiRMnUlBQwJAhQ5g7d+5VfQcF/bmik5ubW61j+uc//8nbb7/N5s2bzcm6qB9JooVoREZjOVrtcgA0mrGoVA2fLVYUhRePpXO+rJwYN2emRQY2uM/6SNJauB666ALsW2V63ldmoYVojVQqlcXKKmwhKSkJo9HI/PnzUV9OzD///POr2oWFhfHUU0/x1FNP8fLLL7N06VImTpxIXFwcX375JREREdjbNzxlmzdvHrNmzeKHH36gZ8+eDe6vtZMkWohGdPbsJkpK0nBw8CEoaJhF+vw8+yLfndPhoFLxr07hOFloBqWuki6vzGGxUo7ET6CsCAK6wHX9LdOnEEJYgU6nIzk5udIxX19f2rVrR1lZGR988AFDhgyp8sa/yZMnM3DgQKKjo7l48SJbt26lY8eOgOmmw6VLlzJ8+HCmTZuGj48PJ0+eZO3atSxbtgy7OvyCMXfuXKZPn86aNWuIiIggO9u0GZe7u3uV5SLi2mR1DiEaiaIo5s1VQkMfxc7OpcF9ppWU8uqJdACmRQZyvXvD+6wPfbmBPzJ0APSMsMCd3mUlsGeJ6Xm/Z6GR1rkWQoj62LZtG7GxsZUeM2bMoFu3brz77rvMnTuXzp07s3r1aubMmVPpWoPBwPjx4+nYsSN33XUX0dHR5psOg4OD2bFjBwaDgTvvvJMuXbowefJkvL29zTPbtbV48WJKS0u57777CAoKMj/++c9/Wuz70NqoFEuu49JI8vPz8fLyQqfT4enZuEt4CVFfFy7s5PfkR1GrnenXdzuOjg1LNo2Kwv3Jp9iRV0AvTzc2xLXDzkbJZlLqBYYt3oWvmyOJrw5o+M2SiSvg28ngGQqTksHOwRJhCiFsrKaf3yUlJaSkpBAZGSk3uwmbqu2/RZmJFqKRaC/PQgcF3dfgBBrgk/Rz7MgrwEWtZmFHjc0SaPjzpsK48DYNT6CNBti1yPS8z3hJoIUQQjRJkkQL0QguFRzl/IVfADWasMca3N/xwhJmnc4E4I12wUS6OjW4z4ao2KmwpyXWhz72HZw/Cc5eEDey4f0JIYQQViBJtBCNoGIW2t//LlxdG7ZhSJlRYeKRVEqMCrf5eDAy2NcSIdaboijmmWiLrMxRsblKr8fBSW52EUII0TRJEi2ElZWUZJKT8y1gmS2+30/NYf+lYrzt7Xg3Jsxim7XUV+r5Is4XluJop+b6YK+GdabdDem/gZ0j3PCkZQIUQgghrECSaCGsLC1tJYpSjrd3bzw9G7awfXJ+EQtSTcsSvR0dSpCThTY1aYDEy7PQXUK9cHZo4HquO943fe32EHgENDAyIYQQwnokiRbCisrK8snIXAs0fBa62GBk4pFUDArc4+/N0AALrcfcQEmpFwAL1EOfPW6qh0Ylm6sIIYRo8iSJFsKKMjI/xWAoxM0tGl/fWxvU15zTWZwo0hPgaM+c6FDLBGgBV67M0SA7L9dCd/g/8GvfwKiEEEII65IkWggrMRr1pKWtACBc83iDapd/vXiJj9PPAvBujAYfh6ax2aiuqIzjOQUA9GhIEn0pG/74zPS83yQLRCaEEEJYlyTRQlhJdvbXlJaexckpkICAIfXuJ7/cwKQjWgBGBvtyu2/T2WBon9Y0Cx3p54afewOW2duzBAylENYbNL0tFJ0QQghhPZJEC2EFimIkVbsMgLCw0ajV9b8B8LUTGWToywh3duT164ItFaJFVJRyNGgWWn8J9n5iei610EIIIZoJSaKFsIJz57dSVHQSOzt3QoIfqnc/35/N47PsC6iBDzpqcLNv4OoXFpZ4+abCBiXR+/4Neh34tjPVQwshRDMyevRohg4dauswrmn9+vX07NkTb29v3Nzc6N69O//5z39sHVaz1jQKK4VoYbSpps1VQkMext7eo159nC0t4/lj6QCM1/hzg3fT2nikzGAkOS0PaMDKHIYy2PWh6XnfiaCW3+uFEKIhSktLcXS8+q+fPj4+/OMf/yAmJgZHR0e+/fZbxowZg7+/P/Hx8TaItPmTn1hCWJhO9zt5ur2oVA6EhY2uVx+KovDCsTTOl5XTyc2Z5yMDLRukBRzOzKekzIiXiwPXta1ngn9wPeSng5s/dK3/jL0QQjRV7777Ll26dMHNzY2wsDCeeeYZCgoKzOdTU1MZMmQIbdq0wc3Njeuvv57vvvvOfP7gwYMMHDgQd3d3AgICePTRRzl37pz5/K233sqECROYPHkyfn5+1SbEt956K3//+9/p2LEj1113HZMmTaJr1678+uuv1nvzLZwk0UJYWOrlLb4DA+7Gyal+G4Z8ln2BTefycVCpWNQpHKcmOENrXtpO441aXY+VRxTlz2Xtej8JDs4WjE4I0RIoikJRaXmjPxRFsdh7UKvVLFy4kEOHDrFq1Sq2bNnCtGnTzOfHjx+PXq/nl19+4cCBA8ydOxd3d9PERF5eHv379yc2NpbExEQ2bdpETk4ODzzwQKUxVq1ahaOjIzt27OCjjz6q1fc1ISGBY8eO8be//c1i77W1kXIOISyoqCiFs2d/BECjebxefaSVlPLqiQwApkUG0sndxWLxWVJFEt0zwqd+HZxKgJyD4OAGvcZaMDIhREtRXGag0/QfGn3cw2/G4+pomRRp8uTJ5ucRERHMnDmTp556ig8/NJWyabVahg0bRpcuXQCIiooyt1+0aBGxsbHMnj3bfGz58uWEhYVx/PhxoqOjAWjfvj3z5s27Ziw6nY6QkBD0ej12dnZ8+OGH3HHHHZZ4m62SJNFCWJBW+wmg4Ot7G+7u0XW+3qgoTDqipcBgpJenG89o/C0fpAUoitLwmwp3XJ6F7jEKXJrG7otCCGFpmzdvZs6cORw9epT8/HzKy8spKSmhqKgIV1dXnn32WZ5++ml+/PFHBgwYwLBhw+jatSsA+/fvZ+vWreaZ6SudOnXKnET36NGjVrF4eHiQnJxMQUEBCQkJTJ06laioKG699VaLvd/WRJJoISyktPQcWdlfAhCuGVevPpaln2VnXgGudmo+6KTBrgEbtFhTRl4xOfl67NUquoV6172DzGRI+RlUdnDj05YOTwjRQrg42HH4zca/6c3FwTIrIZ05c4bBgwf/f3t3Htbklb8N/E4CCWGNSNkkwRWh7itFp5vjq3Zx6tT56Wv9WXW0VkWsdWasTjtjN6V2xqWltn2LrfaasUPtYttR69i61LpORZnRolhkBwERSFiTkJz3DyQtFZEoyROS+3NdXMYn5wl3zhWSL4fznINFixZhzZo1CA4OxpEjRzBv3jyYTCb4+vpi/vz5mDhxInbv3o19+/YhOTkZ69evR1JSEmprazF58mSsW7fuuseOiIiw3fbz8+tQHrlcjr59+wIAhg4divPnzyM5OZlF9C1iEU3USQqL/gar1YTAwCHQaEbZfX5WXSPW5FwGADzfJxI91bexeYmDtUzlGBAZCLXyFj5sWuZCD3wU0Og6MRkRuROZTNZp0yqkkJ6eDqvVivXr10N+7dqWHTt2XNdOq9Vi4cKFWLhwIVatWoXU1FQkJSVh+PDh+OSTT9CzZ094eXV+P1itVhiNxk5/XE/RdV+ZRC7EYqlHUdHfAQA63RN2b/Fttgoknc+H0Spwf3AAZkV2d0TMTnMqr2WTlVuYD12VB3z/WfNtbq5CRG5Ar9cjIyOj1bHu3bujb9++MJvNSElJweTJk9u88G/ZsmV44IEHEBMTg6qqKhw8eBBxcXEAmi86TE1NxYwZM7BixQoEBwcjOzsbaWlp2LJlCxSKjg9iJCcnY+TIkejTpw+MRiP27NmDv/3tb3jrrbdu+/l7KhbRRJ2gpOQjNDVVQ63WIfSOCXafvym/FP+taYDGS4GNsTq7i3Bnu62dCo+/CQgL0Pt+IGJwJycjInK+Q4cOYdiwYa2OzZs3D1u2bMGGDRuwbt06rFq1Cvfccw+Sk5Px+OOP29pZLBYkJiaiqKgIgYGBmDRpEjZu3AgAiIyMxNGjR/HMM89gwoQJMBqNiI6OxqRJk2wj2x1VV1eHxYsXo6ioCGq1GrGxsfj73/+O6dOn334HeCiZ6Mx1XJzEYDAgKCgIer0egYGBUschD2e1NuH4iV+isbEI/WNeRFTUTLvOP2Oox8OnL8IigLfvjMaUMNe+yK7W2ITBz/8LVgGc/OMvERZox9J09ZXAxgGAuR6Y9RnQ536H5SQi19Pe53djYyNyc3PRq1cv+PhwyUuSTkdfi663+CxRF1N+5Us0NhbB2zsYERFT7Tq3wWJF0vl8WAQwJVTj8gU0AJwpqIJVAFHd1PYV0ADw3bvNBXT4IKD3fQ7JR0RE5AwsoolugxACBdc2V4mKehwKhX1F5dqcEmTXGxGm9EJyTJQjInY62/rQ9k7lMDcAJ6/NBRzzFODiU1aIiIjawyKa6DZUVR1DTc33kMt9ENXDvmkcR6pqkFrUvHXrxlgdunl3jUsUbnk+9H/+AdRXAEE6YMCUzg9GRETkRJ1eRCcnJ2PUqFEICAhAaGgopkyZgqysrFZtGhsbkZiYiO7du8Pf3x9Tp05FWVlZZ0chcriWLb4jI/8HSmXHV6owNFnw1PkCAMDjkd0xrnvXmNtvsQqcKagGYOfKHFYLcOyN5tsJiwGFd+eHIyIicqJOL6K/+eYbJCYm4sSJE/jqq69gNpsxYcIE1NXV2do8/fTT+Oc//4mPPvoI33zzDUpKSvDoo492dhQih6qpOY/Kym8ByKHT2rdt9bM/FKHYaEZPtRKr+0Y6JqADXCg1oNbYBH+VF/qHB9hx4m6g8hLgowGGzXJYPiIiImfp9L8f7927t9X/t23bhtDQUKSnp+Oee+6BXq/Hu+++iw8++ADjxo0DAGzduhVxcXE4ceIE7rrrrs6OROQQBQVbAAChoZOgVms7fN7uK9X4qLQKcgApcdHws2OdT6mdvjaVY5hOA4W8g3OahQCOvtZ8e9R8QHX99rVERERdjcPnROv1egBAcHDzn37T09NhNpsxfvx4W5vY2FjodDocP368zccwGo0wGAytvoik1NhYgrLyXQCAaN0THT7vismMP2QVAgCW6EIxKqhjW7W6ilO3Mh+64DhQfApQqID4Jx2UjIiIyLkcWkRbrVYsW7YMY8eOxcCBAwEApaWlUCqV0Gg0rdqGhYWhtLS0zcdJTk5GUFCQ7Uur7fioH5EjFBRuhRBN6Ka5C4GBHdswRAiB310oRKXZggH+Pvh9r3AHp+x8LTsVjrRnPvTRa1t8D50B+Ic6IBUREZHzObSITkxMxLlz55CWlnZbj7Nq1Sro9XrbV2FhYSclJLKf2WxAScmHAIDo6AUdPi+ttBL7rhqglMmQEhcNpZ27TUmtVN+I4uoGyGXAUJ2mYyddyQIufglABiQkOTIeERGRUzlsTa0lS5Zg165dOHz4MKKiflz/Njw8HCaTCdXV1a1Go8vKyhAe3vbInEqlgkqlclRUIrsUF38Ai6UO/n79ERx8T4fOKWgw4k8/FAMAVvQKx53+akdGdIiWpe1iwwPhr+rgW8exa6PQsQ8BIX0dlIyIiMj5On0oTAiBJUuWYOfOnThw4AB69erV6v4RI0bA29sb+/fvtx3LyspCQUEBEhISOjsOUaeyWo0oLNoGANDp5kPWgQ1DrELgqQsFqLVYMTrID4t0XXNKw6n8SgDAyJ4dnA9tuAz8d0fz7bFPOSgVEZG05syZgylTpkgdwy5paWmQyWRdLrer6fSR6MTERHzwwQf4/PPPERAQYJvnHBQUBLVajaCgIMybNw/Lly9HcHAwAgMDkZSUhISEBK7MQS6vtPRzmExXoFKFIyzs4Q6dk1p0Bcer6+CrkOP1OB0UXXSnvtP2XlR48m3AYgK0dwHa0Q5MRkRELUwmE5RK5Q3vz8vLw+9//3vcfffdTkzlnjp9JPqtt96CXq/Hfffdh4iICNvXhx9+aGuzceNGPPzww5g6dSruuecehIeH49NPP+3sKESdSgirbXMVrXYu5PIbv0m1yKprxNqcywCAF/pGoqe6a05LajBZ8H1J86o4HSqijTXAqa3NtzkKTUQebMOGDRg0aBD8/Pyg1WqxePFi1NbW2u7Pz8/H5MmT0a1bN/j5+WHAgAHYs2eP7f5z587hgQcegL+/P8LCwjBr1ixUVFTY7r/vvvuwZMkSLFu2DCEhIZg4ceINs1gsFsycORMvvPACevfu7Zgn7EE6fSRaCHHTNj4+Pti8eTM2b97c2d+eyGEqKg6gvj4HXl4B6BE5/abtzVaBpMx8GK0C44ID8L8R3Z2Q0jEyCqvRZBUID/RBD00H5nOnvw8Y9UBIDBAzyfEBicg9CQGY653/fb19gU76q6FcLsfrr7+OXr16IScnB4sXL8aKFSvw5ptvAmj+C77JZMLhw4fh5+eHzMxM+Ps3r6dfXV2NcePGYf78+di4cSMaGhrwzDPPYNq0aThw4IDte7z//vtYtGgRjh492m6WF198EaGhoZg3bx6+/fbbTnl+nsxhFxYSuZuWUegekY/By+vmu/VtzC/Ff2sb0M1LgY2xug7Nn3ZVpwuuTeXo2e3mz8NiBk40fzggYQnQxVYhISIXYq4H1kqwq+sfSwBl56zjv2zZMtvtnj174uWXX8bChQttRXRBQQGmTp2KQYMGAUCrEeI33ngDw4YNw9q1a23H3nvvPWi1Wly8eBExMTEAgH79+uHVV19tN8eRI0fw7rvvIiMjo1OeF7GIJuoQvf409PpTkMm8odXOvmn704Y6vJZfBgB4pX8UwlTejo7oUKfymi8qHKHrwFSOc58AhmLAPwwYfPMReyIid/b1118jOTkZFy5cgMFgQFNTExobG1FfXw9fX18sXboUixYtwr59+zB+/HhMnToVgwc37z/wn//8BwcPHrSNTP/UpUuXbEX0iBEj2s1QU1ODWbNmITU1FSEhIZ3/JD0Ui2iiDmgZhQ4PnwKVKqzdtvUWK5aeL4BFAL8O1eCRUDt293NBVquwLW9305U5hPhxc5X4JwFvHwenIyK35u3bPCosxfftBHl5eXj44YexaNEirFmzBsHBwThy5AjmzZsHk8kEX19fzJ8/HxMnTsTu3buxb98+JCcnY/369UhKSkJtbS0mT56MdevWXffYERERttt+fu2Pml+6dAl5eXmYPHmy7ZjVagUAeHl5ISsrC3369OmU5+xJWEQT3UR9fS6uXPkKABCtm3/T9mtzSpBdb0S40hvJMVE3be/qsq/UwtDYBLW3AnERgTdpvB8o/x7w9gNG/tY5AYnIfclknTatQgrp6emwWq1Yv3495Nemtu3YseO6dlqtFgsXLsTChQuxatUqpKamIikpCcOHD8cnn3yCnj17wsvr1ku22NhYnD17ttWx5557DjU1NXjttde4E/QtYhFNdBP5BVsACIR0Hwc/v/Y3DDlcWYMtRc1XTW+K00Lj3fV/xFpGoYdog+CtuMn85mOvNf87Yg6g7toj8EREHaXX66+ba9y9e3f07dsXZrMZKSkpmDx5Mo4ePYq33367Vbtly5bhgQceQExMDKqqqnDw4EHExcUBaL7oMDU1FTNmzMCKFSsQHByM7OxspKWlYcuWLVAoFB3K5+Pjg4EDB7Y61rLh3c+PU8fxih+idhhNFSgtbV5+UXeTLb715iYsu1AAAJjTIwT3Bd9k1LaLOJV3bSpHdHD7DUvOALmHAZkCuGuRE5IREbmGQ4cOYdiwYa2+XnjhBQwZMgQbNmzAunXrMHDgQGzfvh3JycmtzrVYLEhMTERcXBwmTZqEmJgY20WHkZGROHr0KCwWCyZMmIBBgwZh2bJl0Gg0tpFtko5MdGRNOhdjMBgQFBQEvV6PwED3KFTINV26tB55+W8iMHAoRo74uN2VKZZk5uPjsir0Uivx9aj+8OvgCIGru+8vB5F3tR5b547C/f3b2W3xo7nA9582X0z46DvOC0hEXUZ7n9+NjY3Izc1Fr1694OPD6ylIOh19LfLXGKIbaGqqQ1HxdgBAtG5BuwX0rvJqfFxWBTmAlLhotymgK2qNyLvavEbrcG070zOq8oDMz5pvj0lyeC4iIiKpsYgmuoHLlz9CU5MeanU07rhj/A3blRvNWHGxEACQFB2GkUFd9yKYn2uZDx0T5o8g33aW6Tu+GRBWoM84IHyQk9IRERFJh0U0URus1iYUFL4HANDp5kMma3tkWQiB32cVotJswQB/H/yuZ/vL33U1LUX0iPbmQ9ddBU7/rfk2t/gmIiIPwSKaqA3l5XvQ2FgMb+9gRIQ/esN2/yitxL6rBihlMrwRFw2lm13o8WMR3c5Uju+2AE0NQPhgoNe9TkpGREQkLff6xCfqBEII2+Yq2qjHoVC0fVFBfoMRf/qhGADwTO8IxPmrnZbRGRrNFpwt0gMARt6oiDY3AP++dhHh2Kea13QlIroNXXC9A3IzHX0Nsogm+pmqqmOorc2EXK5GVNT/ttnGKgSeOl+AOosV8UF+WKi9w8kpHe9csR4mixUh/kpEd7/B7l0ZHwD1FYBGB9w5xan5iMi9eHs3X3dRX18vcRLydC2vwZbX5I10/Z0giDpZyyh0ZOT/wNu77RHYdwqv4IS+Dr4KOV6P00HhhiOwP53K0ebKJFYLcCyl+fZdiYCCbydEdOsUCgU0Gg3Ky8sBAL6+vu2uikTU2YQQqK+vR3l5OTQazU03s+GnHtFP1NRkorLyWwBy6LRtb1t9oa4BybmXAQAv9u2BaLXKiQmd59TN5kNf2AVU5TbvTDh8lhOTEZG7Cg8PBwBbIU0kBY1GY3sttodFNNFPFBRsAQCEhT4ItVp73f0mqxVJmQUwWgXGdw/EzIib7OLXRQkhcLq9lTmEAI5e2+J71HxA6T7L+hGRdGQyGSIiIhAaGgqz2Sx1HPJA3t7eHd5OnUU00TUNDcUoK98FANBFP9Fmm415ZThb24BgbwU29Ne67Z8acyvqcLXOBKWXHAN7tLEraP4xoDgdUKiA0e1vh05EZC+FQtHhQoZIKrywkOiawqKtEMKCbt0SEBgw8Lr7T+vr8HpBGQBgXYwWoar2LzjoylrmQw/uEQSVVxsfZMdeb/536GOAfztbgRMREbkpFtFEAMxmPUpKPgTQvMX3z9VbrFhyvgAWAUwN64bJoRonJ3Qu20WFPduYD11+Abi4F4CMW3wTEZHHYhFNBKC4eDsslnr4+8ciOPju6+5/+VIJchqMiFB5Y02/HhIkdK6WiwpHtjUfumVFjriHge59nJiKiIjIdbCIJo9nsRhRWPQ+AECne+K6ec7fVNbgveIKAMCmWB003u59KUF1vQnZ5bUAgOE6Tes7DZeB/zaP2GMMt/gmIiLPxSKaPF5p2WcwmSqgUkUgLPShVvdVm5uw7EIBAGBujxDcGxwgRUSnOl3QPArdO8QP3f1/tnzfybcAqxnQJQDaURKkIyIicg0sosmjCWG1LWun086FXN76YsHnfijGZaMZvdUqPNcnQoqITncq7wbrQzcagFNbm2+P5Sg0ERF5NhbR5NEqKvajvj4HXl4BiIyc3uq+f5ZX4+OyKsgBpMTp4Ochyy2l32iTlfRtgNEAhMQA/SY6PxgREZELYRFNHi2/4B0AQI8eM+Hl5W87Xm4045mLhQCApdFhGBHkGZuJmC1W/KeoGgAw8qcrczSZgBNvNd8esxSQ862DiIg8Gz8JyWNV69Oh15+GTKaENmq27bgQAr/LKkSl2YKB/mos7xkmYUrn+r7EgEazFRpfb/QO+fGXCpz7BKgpAfzDgcHTpAtIRETkIlhEk8cqyE8FAESET4FK9eOGIf+4XImvrhqglMmQEqeD0oNGXVumcgzXdYNcfm2VEiF+3Fwl/knAS3WDs4mIiDyH51QHRD9RV5eDKxVfAwB0unm24/kNRvwpuxgAsLJ3BOL81ZLkk0p6fiWAn82Hzv4aKM8ElP7AyN9KlIyIiMi1sIgmj1RQuAWAQEjIePj59QUAWITAU+cLUGex4q4gPzypvUPakE4mhLCtzDHyp0X00dea/x0xB1BrnJ6LiIjIFbGIJo9jNF5BaelOAEC07gnb8XcKr+CEvg5+Cjlei9NB8bNNV9xdUVUDymuM8JLLMESraT5YfBrI+xaQewF3LZI0HxERkSthEU0ep6jofVitJgQGDkNQ0AgAwPnaBiTnXAYAvNS3B6LVnjfvt2U+9IAeQfDxvracX8tc6IG/AYKiJEpGRETkelhEk0dpaqpDUfF2AEB0dPMW3yarFUnnC2ASAv+neyBmRARLnFIap67Nh7ZN5ajMBTI/b749JkmiVERERK6JRTR5lJLLO9DUZIBa3RN3hIwHAGzIK8O52gYEeyuwvr8WMg+bxtHiuvnQxzcDwgr0HQ+ED5QwGRERkethEU0ew2o1o7DgPQBAtG4+ZDIF0vV1eD2/DADwaowWoSrv9h7CbdU0mpFVVgPg2socdVeBM39vvnPMUgmTERERuSYW0eQxysu/RKOxBN7e3REe/ijqLBYknS+AFcBvwrrh4VCN1BElc6agGkIA2mA1QgN9gO9SgaYGIGII0OseqeMRERG5HBbR5BGEELYtvrVRj0OhUOHlS5eR02BEhMoba/r1kDihtE7lt0zlCAZM9cC/m/sKY58CPHR6CxERUXtYRJNHqKw6itra85DL1YiK+l8cqjRga3EFAGBTrA5B3l4SJ5TW6ZadCqO7ARnbgfqrgEYHxD0icTIiIiLXxCKaPEJBfvPIamTkNNTBH09fKAQA/LZHCO4NDpAymuSaLFacKbg2Eq0NbL6gEAASkgCFZ/9yQUREdCP8hCS3V1PzPSqrjkImU0Cn/S1+/0MxLhvN6KNW4bk+kVLHk9yF0hrUmSwIUHkhpuoboCoXUHcDhs2UOhoREZHL4kg0ub38gi0AgNDQB/FVjT8+KauCHEBKnA6+Cv4InL42Cj1UGwTFsWtbfI96AlD6SZiKiIjItbGCILfW0FCM8vLdAAB1+HysvNg8jeOp6DAMD2KRCPy4PvQj3fKAktOAlw8weoG0oYiIiFwci2hya4WF70EIC7ppxmJ1sS8qzRYM8lfj6Z5hUkdzGS3bfY+rTGs+MPQxwP8OCRMRERG5Ps6JJrdlNlej5PIOAMB3/ovxdbEBKrkMKXfqoJTz90cAuKxvQOaX78N68RtEV+ZD7SXDmHvPYV2/LPTv31/qeERERC6LlQS5raLi7bBY6lHrOwavlvoCAFb1ikCsn1riZK4jPb8KjYXnsGBsCE7M88NXqx+EWabEhAkTUFdXJ3U8IiIil8UimtySxWJEYeH7sEKO/4dE1FmsSND4YYGW0xR+6lReFQZPW4bkQbkYEKrAkMeex7Zt21BQUID09HSp4xEREbksFtHkdg4fPoxJkxLw6K9PY8Ivs3Hsq+PwU8jxWqwOcu6+10p6fhXmeu2Fl2gCoscCUSOh1+sBAMHBwRKnIyIicl0sosnt1NbWoEdUFf7v0ljbsZf69YBOrZIwleupNzWh4HIpHlPsbz4wZimsViuWLVuGsWPHYuDAgdIGJCIicmG8sJDczqhR3lD4KPFn2VoAj2BogBozwjmq+nMZhdWYLvsagbIGIKQ/0G8CEhMTce7cORw5ckTqeERERC6NRTS5nfz8d/AppiEfOgDA3B4hkHEax3XO5JTjt157m/8zdimWLF2KXbt24fDhw4iKipI2HBERkYvjdA5yK9XVp3DKUIcvZL+2HQvy5u+KbVFd+AThsirUeYdgSepR7Ny5EwcOHECvXr2kjkZEROTyWF2QW8nK34q3sBQCcvwmrBs2Sx2oLaZ6oOKipBGsVivuq0gDZEDiN/747OTf8fl7GxFQl4/SjHwAQFCAP9RqH+eFCokBlL7O+35ERES3gUU0uY26uktIuRqFMlkEwpUyrOnXwzWL6IqLwDv3ShqhyBqCvvIK1AofvP/VfwEA9/3miVZttj7igzlDlc4LteAbIHKo874fERHRbZC0iN68eTP+8pe/oLS0FEOGDEFKSgpGjx4tZSTqwj7+YRe+lj0AAHg9rrfrTuMIiWkuGCV0h8mCjLPfwaS/DFH865uf4AwhMVInICIi6jDJqowPP/wQy5cvx9tvv434+Hhs2rQJEydORFZWFkJDQ6WKRXZqMFlw6Uqt1DFQbSzHK1WDAAAPyKtQfioDH1+771hGJpp8uyNI0w0RPbROy9TnDn+olYrr71D6Sj7iqgYwtOcISTMQERF1ZTIhhJDiG8fHx2PUqFF44403ADTP0dRqtUhKSsLKlSvbPddgMCAoKAh6vR6BgYHOiEs3cK5Yj4dTpF8OTXtXFX4IGojulnJUbD2N8g9WXdfGb+AvEfLQ007LtCvpFxjYI8hp34+IyNXx85vciSRFtMlkgq+vLz7++GNMmTLFdnz27Nmorq7G559/3qq90WiE0Wi0/d9gMECr1fKH0AW4ykh0VWMxUi7/gClBPhgcfJfUcQC0MxJNROShWESTO5FkOkdFRQUsFgvCwsJaHQ8LC8OFCxeua5+cnIwXXnjBWfHIDmqlwkVGW4Nwd587pQ5BREREHqJLrBO9atUq6PV621dhYaHUkYiIiIjIg0kyEh0SEgKFQoGysrJWx8vKyhAeHn5de5VKBZVK5ax4RERERETtkmQkWqlUYsSIEdi/f7/tmNVqxf79+5GQkCBFJCIiIiKiDpNsibvly5dj9uzZGDlyJEaPHo1Nmzahrq4Oc+fOlSoSEREREVGHSFZET58+HVeuXMGf//xnlJaWYujQodi7d+91FxsSEREREbkaydaJvh1cIoeIiKjr4ec3uZMusToHEREREZErYRFNRERERGQnFtFERERERHZiEU1EREREZCcW0UREREREdmIRTURERERkJxbRRERERER2kmyzldvRsrS1wWCQOAkRERF1VMvndhfcooLoOl2yiK6pqQEAaLVaiZMQERGRvWpqahAUFCR1DKLb0iV3LLRarSgpKUFAQABkMtltPZbBYIBWq0VhYSF3T+oA9pf92Gf2YX/Zh/1lP/aZfTqzv4QQqKmpQWRkJORyziilrq1LjkTL5XJERUV16mMGBgbyzdQO7C/7sc/sw/6yD/vLfuwz+3RWf3EEmtwFfw0kIiIiIrITi2giIiIiIjt5fBGtUqmwevVqqFQqqaN0Cewv+7HP7MP+sg/7y37sM/uwv4ja1iUvLCQiIiIikpLHj0QTEREREdmLRTQRERERkZ1YRBMRERER2YlFNBERERGRnTyyiK6srMTMmTMRGBgIjUaDefPmoba2tt32SUlJ6N+/P9RqNXQ6HZYuXQq9Xu/E1M6zefNm9OzZEz4+PoiPj8e///3vdtt/9NFHiI2NhY+PDwYNGoQ9e/Y4KanrsKfPUlNTcffdd6Nbt27o1q0bxo8ff9M+djf2vsZapKWlQSaTYcqUKY4N6GLs7a/q6mokJiYiIiICKpUKMTExHvdzaW+fbdq0yfYer9Vq8fTTT6OxsdFJaaV1+PBhTJ48GZGRkZDJZPjss89ues6hQ4cwfPhwqFQq9O3bF9u2bXN4TiKXIzzQpEmTxJAhQ8SJEyfEt99+K/r27StmzJhxw/Znz54Vjz76qPjiiy9Edna22L9/v+jXr5+YOnWqE1M7R1pamlAqleK9994T33//vXjiiSeERqMRZWVlbbY/evSoUCgU4tVXXxWZmZniueeeE97e3uLs2bNOTi4de/vsscceE5s3bxZnzpwR58+fF3PmzBFBQUGiqKjIycmlYW9/tcjNzRU9evQQd999t3jkkUecE9YF2NtfRqNRjBw5Ujz44IPiyJEjIjc3Vxw6dEhkZGQ4Obl07O2z7du3C5VKJbZv3y5yc3PFv/71LxERESGefvppJyeXxp49e8Szzz4rPv30UwFA7Ny5s932OTk5wtfXVyxfvlxkZmaKlJQUoVAoxN69e50TmMhFeFwRnZmZKQCI7777znbsyy+/FDKZTBQXF3f4cXbs2CGUSqUwm82OiCmZ0aNHi8TERNv/LRaLiIyMFMnJyW22nzZtmnjooYdaHYuPjxdPPvmkQ3O6Env77OeamppEQECAeP/99x0V0aXcSn81NTWJMWPGiC1btojZs2d7VBFtb3+99dZbonfv3sJkMjkrosuxt88SExPFuHHjWh1bvny5GDt2rENzuqKOFNErVqwQAwYMaHVs+vTpYuLEiQ5MRuR6PG46x/Hjx6HRaDBy5EjbsfHjx0Mul+PkyZMdfhy9Xo/AwEB4eXk5IqYkTCYT0tPTMX78eNsxuVyO8ePH4/jx422ec/z48VbtAWDixIk3bO9ubqXPfq6+vh5msxnBwcGOiukybrW/XnzxRYSGhmLevHnOiOkybqW/vvjiCyQkJCAxMRFhYWEYOHAg1q5dC4vF4qzYkrqVPhszZgzS09NtUz5ycnKwZ88ePPjgg07J3NV4+vs+UQv3qQA7qLS0FKGhoa2OeXl5ITg4GKWlpR16jIqKCrz00ktYsGCBIyJKpqKiAhaLBWFhYa2Oh4WF4cKFC22eU1pa2mb7jvZlV3crffZzzzzzDCIjI6/7UHJHt9JfR44cwbvvvouMjAwnJHQtt9JfOTk5OHDgAGbOnIk9e/YgOzsbixcvhtlsxurVq50RW1K30mePPfYYKioq8Itf/AJCCDQ1NWHhwoX44x//6IzIXc6N3vcNBgMaGhqgVqslSkbkXG4zEr1y5UrIZLJ2vzpa1LTHYDDgoYcewp133onnn3/+9oOTR3vllVeQlpaGnTt3wsfHR+o4LqempgazZs1CamoqQkJCpI7TJVitVoSGhuKdd97BiBEjMH36dDz77LN4++23pY7msg4dOoS1a9fizTffxOnTp/Hpp59i9+7deOmll6SORkQuzG1Gon/3u99hzpw57bbp3bs3wsPDUV5e3up4U1MTKisrER4e3u75NTU1mDRpEgICArBz5054e3vfbmyXEhISAoVCgbKyslbHy8rKbtg34eHhdrV3N7fSZy3++te/4pVXXsHXX3+NwYMHOzKmy7C3vy5duoS8vDxMnjzZdsxqtQJo/gtSVlYW+vTp49jQErqV11dERAS8vb2hUChsx+Li4lBaWgqTyQSlUunQzFK7lT7705/+hFmzZmH+/PkAgEGDBqGurg4LFizAs88+C7ncbcabOsWN3vcDAwM5Ck0exW3eGe644w7Exsa2+6VUKpGQkIDq6mqkp6fbzj1w4ACsVivi4+Nv+PgGgwETJkyAUqnEF1984ZajhkqlEiNGjMD+/fttx6xWK/bv34+EhIQ2z0lISGjVHgC++uqrG7Z3N7fSZwDw6quv4qWXXsLevXtbzc93d/b2V2xsLM6ePYuMjAzb169+9Svcf//9yMjIgFardWZ8p7uV19fYsWORnZ1t+2UDAC5evIiIiAi3L6CBW+uz+vr66wrlll9ChBCOC9tFefr7PpGN1Fc2SmHSpEli2LBh4uTJk+LIkSOiX79+rZa4KyoqEv379xcnT54UQgih1+tFfHy8GDRokMjOzhaXL1+2fTU1NUn1NBwiLS1NqFQqsW3bNpGZmSkWLFggNBqNKC0tFUIIMWvWLLFy5Upb+6NHjwovLy/x17/+VZw/f16sXr3aI5e4s6fPXnnlFaFUKsXHH3/c6rVUU1Mj1VNwKnv76+c8bXUOe/uroKBABAQEiCVLloisrCyxa9cuERoaKl5++WWpnoLT2dtnq1evFgEBAeIf//iHyMnJEfv27RN9+vQR06ZNk+opOFVNTY04c+aMOHPmjAAgNmzYIM6cOSPy8/OFEEKsXLlSzJo1y9a+ZYm7P/zhD+L8+fNi8+bNXOKOPJJHFtFXr14VM2bMEP7+/iIwMFDMnTu3VQGTm5srAIiDBw8KIYQ4ePCgANDmV25urjRPwoFSUlKETqcTSqVSjB49Wpw4ccJ237333itmz57dqv2OHTtETEyMUCqVYsCAAWL37t1OTiw9e/osOjq6zdfS6tWrnR9cIva+xn7K04poIezvr2PHjon4+HihUqlE7969xZo1a9zuF/6bsafPzGazeP7550WfPn2Ej4+P0Gq1YvHixaKqqsr5wSVwo8+4lj6aPXu2uPfee687Z+jQoUKpVIrevXuLrVu3Oj03kdRkQvBvVURERERE9nCbOdFERERERM7CIpqIiIiIyE4soomIiIiI7MQimoiIiIjITiyiiYiIiIjsxCKaiIiIiMhOLKKJiIiIiOzEIpqIiIiIyE4soomIiIiI7MQimoiIiIjITiyiiYiIiIjsxCKaiIiIiMhO/x+TrerYa9knJwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define system (sort levels by energy in ascending order.)\n", "system = System([level1_1,level1_2,level2_1,level2_2],\\\n", " [laser11_21,laser11_22,laser12_21,laser12_22], decay)\n", "\n", "# draw the system in matplotlib\n", "system.draw()" ] }, { "attachments": {}, "cell_type": "markdown", "id": "2d640c3e", "metadata": {}, "source": [ "Now we can simulate the system. We can choose the starting population with the `initial_state_index_list`. We choose [0.6,0.4,0,0] which means 60% are in the first level, 40% are in the second level, and 0% are in the third and forth level at the start of the simulation." ] }, { "cell_type": "code", "execution_count": 10, "id": "8333e89d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hamiltonian in the rotating frame: Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = True\n", "Qobj data =\n", "[[-5.00000000e-01 0.00000000e+00 4.94923198e+01 3.90928950e-10]\n", " [ 0.00000000e+00 -1.50000000e+00 3.19192151e-10 4.84923631e+01]\n", " [ 4.94923198e+01 3.19192151e-10 4.50000000e+00 0.00000000e+00]\n", " [ 3.90928950e-10 4.84923631e+01 0.00000000e+00 3.00000000e+00]]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Maximum population of level 3:\n" ] }, { "data": { "text/plain": [ "0.5912821470183767" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# simulate the system\n", "system.simulate([0.6,0.4,0,0], 2, 2)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }