diff --git a/Strucutral codes/Kerr resonator/.DS_Store b/Strucutral codes/Kerr resonator/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..b61f96adf41b355563640ecedc7b9d95e08f2025 Binary files /dev/null and b/Strucutral codes/Kerr resonator/.DS_Store differ diff --git a/Strucutral codes/Kerr resonator/Examples/.ipynb_checkpoints/test2-checkpoint.ipynb b/Strucutral codes/Kerr resonator/Examples/.ipynb_checkpoints/test2-checkpoint.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..d96588002cc0db475922fcc4e77cf6de8337f335 --- /dev/null +++ b/Strucutral codes/Kerr resonator/Examples/.ipynb_checkpoints/test2-checkpoint.ipynb @@ -0,0 +1,318 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "466e6e45", + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.insert(1, '/Users/lucagravina/dptqm/Strucutral codes/Liouvillian block diagonalization')\n", + "sys.path.insert(1, '/Users/lucagravina/dptqm/Strucutral codes/Kerr resonator')\n", + "\n", + "from kerrdpt_order1 import *\n", + "\n", + "import matplotlib.image as mpimg\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a967f6f9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8f886292", + "metadata": {}, + "source": [ + "# Symmetry-preserving 1st order PT\n", + "\n", + "In this case we look at the model \n", + "\n", + "$$\n", + "\\hat{H}=-\\Delta \\hat{a}^{\\dagger} \\hat{a}+\\frac{U}{2}\\hat{a}^{\\dagger^2} \\hat{a}^2 + \\frac{G}{2} \\left[\\hat{a}^{{\\dagger}^2} + \\hat{a}^{\\dagger^2}\\right]\n", + "$$\n", + "\n", + "with\n", + "\n", + "$$\n", + "U=\\tilde{U} / N, \\quad \\eta=\\tilde{\\eta} / N\n", + "$$\n", + "\n", + "and two-photon dissipation $\\eta\\mathrm{D}\\left[a^2\\right]$.\n", + "\n", + "Here we have a strong-parity symmetry which is preserved in the 1st order PT. In particular we have a 1st order PT for each of the two NESS with opposite parity: within each parity sector we have a level touching with subsequent PT.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "375b8dd0", + "metadata": {}, + "source": [ + "### General example\n", + "\n", + "We are interested in the PT in $G$. In the following we observe for $\\tilde\\eta = 1$, $\\tilde U/\\tilde\\eta = \\Delta/\\tilde\\eta = 10$ and $N=10$ a typical 1st order PT in both NESS.\n", + "\n", + "The level touching is observable in both symmetry sectors. \n", + "\n", + "The question is: how does the hysteresys area change in the remaining parameters ($\\Delta$, $U$)?" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3004e4b2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Completed: 20/20" + ] + } + ], + "source": [ + "Grange = np.linspace(0,2,20)\n", + "\n", + "num_even = np.zeros(Grange.size)\n", + "num_odd = np.zeros(Grange.size)\n", + "gap_even = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_even_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd_even = np.zeros(Grange.size, dtype='complex')\n", + "\n", + "\n", + "for i in range(Grange.size):\n", + " Grat = Grange[i]\n", + " p = Parameters(Δ=1.5, N=10, Grat=Grat, ηtilde=1, Utilde=1)\n", + " k = Kerr_2γ(Nfock=40, p=p) \n", + " num_even[i], num_odd[i], gap_even[i], gap_odd[i], gap_even_odd[i], gap_odd_even[i] = k.bd()\n", + " print(\"\\rCompleted: %d/%d\"%(i+1,Grange.size),end='')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "bfe6d8e7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 2160x648 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(30,9))\n", + "\n", + "g=np.linspace(Grange.min(),Grange.max(),1000)\n", + "\n", + "ax[0].plot(Grange, num_even/p.N, 'bo-', ms=5, label=\"even\")\n", + "ax[0].plot(g, p.n_sc(g)/p.N, 'g-', lw=3, label=\"SC\")\n", + "ax[0].plot(Grange, num_odd/p.N, 'rs-', ms=5, label=\"odd\")\n", + "ax[0].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[0].set_xscale(\"log\")\n", + "ax[0].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[0].set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0].legend()\n", + "\n", + "ax[1].plot(Grange, -np.real(gap_even), 'bo-', ms=5, label=\"even\")\n", + "ax[1].plot(Grange, -np.real(gap_odd), 'rs-', ms=5, label=\"odd\")\n", + "ax[1].axhline(-np.real(gap_even)[0], c='k', ls='--')\n", + "ax[1].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax[1].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[1].legend()\n", + "\n", + "\n", + "ax[2].plot(Grange, -np.real(gap_even_odd), 'g^-')\n", + "ax[2].plot(Grange, -np.real(gap_odd_even), 'yh-')\n", + "ax[2].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[2].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[2].set_xscale(\"log\")\n", + "ax[2].set_yscale('log')\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"PL_Delta=Utilde=10_N=10.png\", dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2d909281", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b1c6bee4", + "metadata": {}, + "source": [ + "## Estimating convergence of Hilbert space truncation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "971b6bfa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "35.50260591506958" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "step = 1\n", + "cuts = np.arange(10,50,step)\n", + "\n", + "num_even = np.zeros(cuts.size)\n", + "num_odd = np.zeros(cuts.size)\n", + "gap_even = np.zeros(cuts.size, dtype='complex')\n", + "gap_odd = np.zeros(cuts.size, dtype='complex')\n", + "gap_even_odd = np.zeros(cuts.size, dtype='complex')\n", + "gap_odd_even = np.zeros(cuts.size, dtype='complex')\n", + "\n", + "Grat=1.8\n", + "p = Parameters(Δ=1.5, N=10, Grat=Grat, ηtilde=1, Utilde=1)\n", + "\n", + "t1=time.time()\n", + "for i in range(cuts.size):\n", + " k = Kerr_2γ(Nfock=cuts[i], p=p) \n", + " num_even[i], num_odd[i], gap_even[i], gap_odd[i], gap_even_odd[i], gap_odd_even[i] = k.bd()\n", + "time.time()-t1" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ad64be81", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "c= 35 time= 5.626366138458252\n" + ] + } + ], + "source": [ + "t1 = time.time()\n", + "c = get_cutoff(p,c0=36,cmax=60,step=6,precision=0.01)\n", + "print(\"c=\",c,\" time=\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b26a8310", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1296x360 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,3,figsize=(18,5))\n", + "\n", + "ax[0].plot(cuts,num_even,'o-')\n", + "ax[0].plot(cuts,num_odd,'o-')\n", + "ax[0].axvline(c,c='r',ls='--',lw=2)\n", + "ax[0].set_xlabel(r\"$N_{cut}$\")\n", + "ax[0].set_ylabel(r\"$n\\,(\\,N_{cut}\\,)$\")\n", + "\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].plot(cuts[1:],(np.gradient(num_even,cuts)*100)[1:],'o-')\n", + "ax[1].plot(cuts[1:],(np.gradient(num_odd,cuts)*100)[1:],'o-')\n", + "ax[1].axvline(c,c='r',ls='--',lw=2)\n", + "ax[1].set_xlabel(r\"$N_{cut}$\")\n", + "ax[1].set_ylabel(r\"$\\partial_{N_cut}\\,n\\,(\\,N_{cut}\\,)$\")\n", + "\n", + "ax[2].plot(cuts[2:],(np.gradient(np.gradient(num_odd,cuts),cuts)*100)[2:],'o-')\n", + "ax[2].axvline(c,c='r',ls='--',lw=2)\n", + "ax[2].set_xlabel(r\"$N_{cut}$\")\n", + "ax[2].set_ylabel(r\"$\\partial^2_{N_cut}\\,n\\,(\\,N_{cut}\\,)$\");" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aa3b8c2", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2edda78b", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Strucutral codes/Kerr resonator/Examples/Kerr_pahse line & convergence.ipynb b/Strucutral codes/Kerr resonator/Examples/Kerr_pahse line & convergence.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..d96588002cc0db475922fcc4e77cf6de8337f335 --- /dev/null +++ b/Strucutral codes/Kerr resonator/Examples/Kerr_pahse line & convergence.ipynb @@ -0,0 +1,318 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "466e6e45", + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "sys.path.insert(1, '/Users/lucagravina/dptqm/Strucutral codes/Liouvillian block diagonalization')\n", + "sys.path.insert(1, '/Users/lucagravina/dptqm/Strucutral codes/Kerr resonator')\n", + "\n", + "from kerrdpt_order1 import *\n", + "\n", + "import matplotlib.image as mpimg\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a967f6f9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8f886292", + "metadata": {}, + "source": [ + "# Symmetry-preserving 1st order PT\n", + "\n", + "In this case we look at the model \n", + "\n", + "$$\n", + "\\hat{H}=-\\Delta \\hat{a}^{\\dagger} \\hat{a}+\\frac{U}{2}\\hat{a}^{\\dagger^2} \\hat{a}^2 + \\frac{G}{2} \\left[\\hat{a}^{{\\dagger}^2} + \\hat{a}^{\\dagger^2}\\right]\n", + "$$\n", + "\n", + "with\n", + "\n", + "$$\n", + "U=\\tilde{U} / N, \\quad \\eta=\\tilde{\\eta} / N\n", + "$$\n", + "\n", + "and two-photon dissipation $\\eta\\mathrm{D}\\left[a^2\\right]$.\n", + "\n", + "Here we have a strong-parity symmetry which is preserved in the 1st order PT. In particular we have a 1st order PT for each of the two NESS with opposite parity: within each parity sector we have a level touching with subsequent PT.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "375b8dd0", + "metadata": {}, + "source": [ + "### General example\n", + "\n", + "We are interested in the PT in $G$. In the following we observe for $\\tilde\\eta = 1$, $\\tilde U/\\tilde\\eta = \\Delta/\\tilde\\eta = 10$ and $N=10$ a typical 1st order PT in both NESS.\n", + "\n", + "The level touching is observable in both symmetry sectors. \n", + "\n", + "The question is: how does the hysteresys area change in the remaining parameters ($\\Delta$, $U$)?" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "3004e4b2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Completed: 20/20" + ] + } + ], + "source": [ + "Grange = np.linspace(0,2,20)\n", + "\n", + "num_even = np.zeros(Grange.size)\n", + "num_odd = np.zeros(Grange.size)\n", + "gap_even = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_even_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd_even = np.zeros(Grange.size, dtype='complex')\n", + "\n", + "\n", + "for i in range(Grange.size):\n", + " Grat = Grange[i]\n", + " p = Parameters(Δ=1.5, N=10, Grat=Grat, ηtilde=1, Utilde=1)\n", + " k = Kerr_2γ(Nfock=40, p=p) \n", + " num_even[i], num_odd[i], gap_even[i], gap_odd[i], gap_even_odd[i], gap_odd_even[i] = k.bd()\n", + " print(\"\\rCompleted: %d/%d\"%(i+1,Grange.size),end='')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "bfe6d8e7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Jksqq6dOhZcv80zJuvRUmTXI4Q5JUKqzZsJCXxjQj8+e/Uy4hmw1Vrqdvl5Xsu4vDGf9fq33vIjURRs/8w68NJSnuFPcJGrnAtWEYfhUEQSVgRhAEY8Iw/O53t+kG7PPbRxvgud/+KUmSpBJm5sqZnDH4DH789UcAjloMQwYnU3lTIo+37k/fT86lSpWII/WX6tevz9KlS1mzZk3UKcUiLS2N+vUdGpIkScUsFoNHHoFbboHatWH8eDj66KirJEn6S7FYjPdnXE5C+gs0TgpZmNeK04/6gKrl6xbK4x/a8HT6z61ChWA0uXnZJCWmFMrjSlJJVKwDGmEYrgBW/Pb5hiAI5gL1gN8PaJwCvBbmv31vahAEVYMg2PO3+0qSJKkECMOQV75+hctHXk5WXhaEcPVUeOjjgJ/Chnx83Xtc9eBBlJErZpR6ycnJNPZdm5IkSUVnxQr429/gk0+gRw/o1w/22CPqKkmS/tKcZaP4YtY5NE5LZ0leBerv8zIXNupZ6M+zR60Lqbz+UcbMuZtuB/+30B9fkkqKYr3Eye8FQdAIOBSY9j/fqgf8/Luvl/629r/3vzgIgulBEEwvre/0u/POO3n44Yf/sL5o0SKaN28eQZGkeLNhw4aCD0kqLFtytnDhBxdy0fCLyMrLomIWDHknicdGw8epp7Ju1HT+9pDDGZKk0sW9s6QiM2IEHHwwfPYZvPgivPOOwxmSpBJvU+YvvDq+A8vmnUDNpAxWpp7DuV3Saf3bcEZh75+7HnQXv2QnsGL5s4XyeJJUUhX3JU4ACIKgIvAucHUYhuv/99vbuMsfLoYdhuGLwIsArVu3jv+LZUvSLpgxY0bB5x07dowuRFLc+PGXHzljyBnMXDkTgANWw/tvp9JkXQ4vNHmQUydfR+06TmZIkkof986SCl1mJlx/PTz9NBxyCAwaBAccEHVVmRYEwd7ALUCVMAzPiLpHkkqqj2ffQ/qyO2mcmsuC7MZ0O/wD6lXb+o3Fhb1/Tk0uz4bUY9g7HMucZaM4sF633X5MSSqJiv0EjSAIkskfzhgYhuF727jJUmCv331dH1he5GF16kAQbP1Rp85uPeSjjz5K8+bNad68OY8//jgA99xzD/vttx+dO3dm3rx5BbedMWMGhxxyCG3btuWZZ57ZreeVJEkqCsPnDafVi60KhjPOmg1fvJhElXWVefXcsVw073qHMyRJkiSAOXPgsMPyhzOuvhqmTnU4YzcFQfBKEASrgyCY/T/rxwdBMC8IggVBENz0Z48RhuFPYRheWLSlklR6LVn3FS+NbkDK2luJERCr9TAXdf3pD8MZReW4Q54gOwZT5v67WJ5PkqJQrCdoBEEQAC8Dc8MwfHQ7N/sA+GcQBG8BbYCMMAxX7NYTX301zJz557dZtWrba9ub+mvRAn4butiWGTNm8OqrrzJt2jTCMKRNmza0b9+et956i6+//prc3FxatmxJq1atAOjbty9PPfUURx99NNdff/0O/KEkSZKKR24sl9vH3859k+8DICkPHhmTwJVTY0xNPJwN/Ydw0fl1I66UJEmSSoAwhOefh2uugcqVYeRI6OY7gAtJf+Bp4LX/vxAEQSLwDHAc+W/8+zIIgg+AROC+/7n/BWEYri6eVEkqXXLzshk89VyqbHmHBsmwiGPpecxQyqVULtaOulUPZGROY/ZM/Ib0zcupWt7XmyTFn+K+xEk7oDcwKwiCmb+t3Qw0AAjD8HlgJHACsADYDPQt5sZCMXnyZE477TQqVKgAQI8ePfjwww857bTTKF++PAAnn3wyABkZGaSnp3P00UcD0Lt3b0aNGhVNuCRJ0u+s3rSas989m3ELxwGw53p4d0gqbX/O4s2aV9F28kMcsW9yxJWSJElSCbB2LVx0EQwbBl27woABULt21FVxIwzDSUEQNPqf5cOBBWEY/gTw25v+TgnD8D7gpF19riAILgYuBmjQoMGuPowklVh5eZuY88NNLFv2HMmVjmXlL5Opn7aFn3Krc+Qhb9Nlz06RtR3Y5Bayll7EqJnXcvaRgyLrkKSiUqwDGmEYTgb+9NzrMAxD4PJCfeI/OemiQLCdrAkTdukp8/8Y23qaPz5PGIbbXJckSYrS5z9/zllDzmLZhmUAHL0QBg9OofyWJF7q1J/zRvQiLS3iSEmSJKkkGDcOeveGNWvg0UfhqqsgodivLl0W1QN+/t3XS8k/lXmbgiCoDtwDHBoEwb9/G+T4gzAMXwReBGjduvW2X+iVpFIqPX0Ss2f3IDMnnXKJeYSbxlA3FTaUO50+HQaTEPHfX2327svABVeSlDmUWCwWeY8kFTb/q1ZEOnTowPvvv8/mzZvZtGkTQ4cO5cQTT2To0KFs2bKFDRs2MHz4cACqVq1KlSpVmDx5MgADBw6MMl2SJJVxYRjy1LSnOLr/0fnDGSFc/xl88lrAL5l7M+6+L7joE4czJEmSJHJy4N//hs6doVIlmDYN/vUvhzOKz7be9bbdgYowDNeFYXhpGIZNtjecIUnxbvnyfuTmriMpyAPy37+cEECTSuVKxDBEQkIC5fY4hz3Tspg47/GocySp0EX/X9qSYlvHDe7GEYQtW7akT58+HH744bRp04aLLrqIVq1a0bNnT1q0aMHpp59O+/btC27/6quvcvnll9O2bVvKlSu3y88rSZK0OzZmb+Sc987hyo+uJDeWS+VMeP/tZB4cA2MqnE7e519w8k3Nos6UJEmSovfjj9CuHdx/P1x4IcyYAYceGnVVWbMU2Ot3X9cHlkfUIkmlQnbupqgT/tIJLR5ifU7Aj4sfiTpFkgpdsV7ipERbubLQH/Kaa67hmmuu2Wrtlltu4ZZbbvnDbVu1asU333xT8PWdd95Z6D2SJEl/5vu139Pj7R7MXTsXgANXwftvpdLo11z6H/woPSZdTeUqXpZNkiRJZVidOrBq1dZrVapAv37R9OhLYJ8gCBoDy4BewDnRJklSybUlez0/rxpBpeQ/fi8zd0vxB21H+ZSqrE1sQ+Okqfy0Zgp712wbdZIkFRpP0JAkSRKD5wzmsH6HFQxnnPMtTHsxiQq/VuO9f47n/Jn/cjhDkiRJ+t/hDICMjOLvKIOCIBgETAH2C4JgaRAEF4ZhmAv8ExgNzAUGh2E4J8pOSSqp8mK5DBx/EJWSc9icC5n5VzghMw8ycmDYsrxoA/9Hh+YPAzBh1nURl0hS4fIEDUmSpDIsJy+HG8bcwOPTHgcgORce+ziRy7/IY2pKWxLefZuzTtkz2khJkiSpJMjKirqgTAvD8OztrI8ERhZzjiSVOv3HHUHT1CUMWlqJAQs3cG4DOLUuDF0Oby6BA2ot4j9RR/5O01rtmPDVntRKnMLm7HTKp1SNOkmSCkVcD2iEYUgQlI13eoZhGHWCpBIoJSUl6gRJJdiy9cvo+U5PPvv5MwDqZcC7b6fSZnkWgxtcS8fP76NWvW2ceSlJUhxy7yzpT23ZAj16RF0hSdIueePTU2iSNIMFuQfz3Dlf80LC/x2w3x14ZRceszj2z40b/IvE1TcwauZNnH7480X+fJJUHOJ2QCMtLY1169ZRvXr1uB/SCMOQdevWkZaWFnWKpBLmyCOPjDpBUgk1fuF4er3bi9WbVrPiIaiz6f9/J/9dgWdmvUFQ7+HI+iRJKm7unSVt18aNcPLJMGFC1CUqRkEQdAe6N23aNOoUSdotQ6dfQf28D1iQVY8+nb8k4XfDGbujOPbPx+x/LW//fCs5mW8ADmhIig9xO6BRv359li5dypo1a6JOKRZpaWnUr18/6gxJklTChWHIQ58/xL/H/ptYGIPw98MZ/yfY1rW1JUmSpLImIwNOOAGmTYPXX4drr4X/3SvXrh1Nm4pUGIbDgeGtW7f+e9QtkrSrxn73EBXXP82i7Cqcc+xskhJL16lxCQkJUPEUGuQMYcqPr9K2Sd+okyRpt8XtgEZycjKNGzeOOkOSJKnEyMjMoM+wPrz//fsAlMuGV95P5f+fmiFJkiTpd9atg65d4dtv4e234fTT4dxzo66SJGmHTF/0NlnLbyA9N5WTjvqG8ilVo07aJd0OfZzPPx/Cgh/vdkBDUlyI2wENSZIk/Z9vV33L6YNPZ8EvCwBo+Ct8MKgCzVdvjrhMkiRJKoFWrYLOneGHH2DoUDjxxKiLJEnaYT+smszPP5xDLEzkyNafUqNiw6iTdlnV8nVZHh5Eg6RZLE+fQ92qB0adJEm7pXAuNCVJKpHWrl1b8CGp7Hrtm9c44qUjCoYzjvkJZjyXRoPVSbx/0YcR10mSVDK4d5ZUYOlS6NABfvoJPvzQ4QxJUqmyKuMHZszsRHIQ0nT/d2lU47AieZ7i3D8f0ex+UhJgzDf/KvLnkqSi5gkakhTHZs+eXfB5x44dowuRFIms3Cyu+ugqXpjxQv5CCNdNS+G+j3JZkLg36a+9T4/e+xAOr03gdbQlSWWce2dJACxcCJ06wdq1MHo0HHVU1EWSJO2wDZlrGT2lJbWTsym/1zMc0uCUInuu4tw/N693Aq/M2oMqCePIycskOTGtSJ9PkoqSJ2hIkiTFoaXrl9Khf4eC4Yy0HHhraGUe+iibSVVOofw3Uzmi9z4ABCtXQhhu/bFyZZT5kiRJUvGbPz//5Iz0dBg71uEMSVKpkpOXyeAJB1IvdSM5e9xA+33/EXVSoapd5xKqp+Tx0be3R50iSbvFAQ1JkqQ4M37heFq+0JIvln0BwF7pMLVfNXp+u553DrmLtsveocGBlaKNlCRJkkqS2bPzhzOysmD8eDisaI6DlySpKMRiMQaMbUGTtNWsTu3FSYc+EHVSoet60J2szU5k7ap+UadI0m5xQEOSJClOhGHII58/wnGvH8eazWsAOGZxAl89W5FGq/MYduEHnP71rZSr4BZQkiRJKvDVV9CxIyQkwMSJcMghURepBAiCoHsQBC9mZGREnSJJf+m1ScfSNGUeC8N2nH3koKhzikRSYgqb07rQOC2db5YMizpHknaZr85LkiTFgY3ZG+n1bi+uG3MdeWEehHD99IqMfjXg17x6zO3/Bae81J0giLpUkiRJKkGmToVjj4UKFWDSJDjggKiLVEKEYTg8DMOLq1SpEnWKJP2pt6ecRyMmsiB7H84/elLUOUWq6yFPkJUHX867JeoUSdplSVEHSJIkaffMWzuPHoN78N2a7wBIzYEBH9ak58w1TKzcncaTX+eIg3xRUZIkSdrKxIlw0klQuzaMGwcNGkRdJEnSThn5zS3UyBzIj1k16d1pJgkJ8f2+7NpV9uHnvH2olziHXzYuYY+K/t0tqfSJ7/9SS5Ikxbn3v3+fw/odVjCcUS8Dpr5Ui54z1/DeQXdw+PL3aeBwhiRJkrS10aPh+ONhr73yT85wOEOSVMp89sOLJKy9l2VZFTjz6NmkJpePOqlYHLLPHZRLhFHf/CvqFEnaJQ5oSJIklUJ5sTxuGXsLp719GhuyNwDQ8edkvnqmMk1WbWb4BUM57Zs7KVfB7Z4kSZK0lQ8+gJNPhv32yz9Fo27dqIskSdops5eN5JfFl5KRm8xxR3xJ5XK1ok4qNoc1PpfFmRVJ3DicvFhu1DmStNN8xV6SJKmUWbd5HSe8eQL3Tr43fyGE677eg49fjrEhtzbfvTKN7i+fShBE2ylJkiSVOG+/DaefDi1awPjxULNm1EWSJO2UJeu+4vs5J5MXwqGHfMyeVQ+IOqnYVa7xN+qk5jBu7kNRp0jSTnNAQ5IkqRT5asVXtO7Xmo9//BiAlFwYNLweDw37hWmVu5L89Re06dss4kpJkiSpBBowAM45B9q2hTFjoFq1qIskSdopv2xcwqdftqN8Yh51m7zGvnU6Rp0UiW6HPEB6TgJLfn4i6hRJ2mlJUQdIkopOxYoVo06QVIgGzBzApR9eSmZuJgB7rocRA+vRctUyhjW/hS5T/kO5iokRV0qSVDq5d5bi3PPPw2WXQefO8P77UKFC1EWSJO2ULdnrGTb5EPZKySSsfS+H731epD1R7p/Tkivya1I7Gid9yvyVk9i3TofIWiRpZzmgIUlxrHXr1lEnSCoE2XnZXP3R1Tw3/bmCtWNXlGfgq6lUzE7nwz5DOPmVM7ykiSRJu8G9sxTHHnsMrrkGTjoJhgyBtLSoiyRJ2il5sVwGjm9O07R0fqlwKT0O/HfUSZHvn4896FEWzDqMT+dcx751voi0RZJ2hpc4kSRJKsGWrV/G0f2P3mo44/pv92TUCzlsya3Gdy9P5cRXHc6QJEmStumee/KHM844A9591+EM7bAgCLoHQfBiRkZG1CmSRP9xbWia+jNLErrR47Dn/voOZUDDGq1ZmFWfWuF0NmSujTpHknaYAxqSJEkl1MRFE2n5YkumLp0KQHIuDBrRhAffW8GMSseQ9NWXHH5B84grJUmSpBIoDOGWW+DWW6F3bxg0CFJSoq5SKRKG4fAwDC+uUqVK1CmSyrjXP+1Ok6SvWJB7COcdNSLqnBJln0Y3UCkpZNTM66JOkaQd5oCGJElSCROGIY9NeYxOr3Vi9abVANTdmMCUfo3pNf1Hhh94Iy2Wj2SvQ/aIuFSSJEkqgcIw/9SMe++Fiy+G/v0hySs9S5JKn6HTL2evvBEsyKxP32Onk5Dgr/V+r/2+l7MsM43s9MHEYrGocyRph/iTiSTFseXLlxd8Xrdu3QhLJO2oTdmbuPCDC3l7ztsFa51XV+W1l5Kokr2SUX8bxEn9e3lJE0mSCpl7ZylOxGLwj3/ACy/AVVfBY4/h5lmSVBqN/e4hKq5/lkXZVTjn2FkkJpSsX+mVhP1zQkICSVVOp3bWQD5b8ALt970skg5J2hkl67/mkqRCNX/+/ILPfZFZKvl+WPcDPQb3YPbq2QVrN83ZmzuGLGNVwp7M7vcJ3S46JMJCSZLil3tnKQ7k5sIFF8Drr8O//w333ONwhiSpVJq+6G2ylt/Ar7lpnHTUN5RPqRp10h+UlP1ztxaP8ulnA1mx8H4HNCSVCp6FJEmSVAJ8OP9DDut3WMFwRlIeDBrZnPuG/MQ3lY4iYcZ0Dnc4Q5IkSdq2nBw455z84Yy77sq/vInDGZKkUmj+ykn8/MM5bIklclTrT6lRsWHUSSVa5XK1WElLGiUv4edfZkadI0l/yQENSZKkCMXCGHdPupvug7qTkZUBQP0tKUzptx+9vpjNyAOu5eBlH7FXi+oRl0qSJEklVGYmnH46DBkCjzwCt94adZEkSbtkZcY8vvqmM0lByD4HvEfDGq2jTioV2h34IEkJMPbbf0WdIkl/yUucSJIkRWRD1gbOf/98hn4/tGCt48ravPEK7JG9mNG936DbgHN9458kSZK0PZs3w6mnwpgx8OyzcJlHm0uSSqf1W1bz8ZRW1E7Oofxez3DwXidHnVRq7L9nJz77piZ7JE4iM2cjackVo06SpO1yQEOSJCkC89fN59S3TmXu2rmseAjqbPr/31kFQHbl6nR97dzI+iRJkqQSb8MGOOkkmDwZXn0V+vSJukiSpF2Sk5fJkIkH0Sh1E5nVbqL9vv+IOqnUqVfvctLW3clH397Cqa2eiDpHkrbLS5xIkiQVsw/nf8jh/Q5n7tq5wO+HM/5Pyvp1xVwlSZIklQJ16kAQ5H9UrgyTJkGlSg5nSJJKrVgsxoCxh9AkbTVr0s7mxBb3RZ1UKh134C2szkoifU3/qFMk6U85oCFJklRMYmGMuyfdTfdB3cnIygCgWmZqxFWSJElSKbJq1R/XMjKKv0OSpN2Ql7eJb7+/glFjkxg6YS+apsxnYXgUvdq+GXVaqZWYkER2+RNplLae6YvejjpHkrbLAQ1JkqRisCFrA2cMPoPbxt9GSAhAm6w9mfJEvYjLJEmSJEn/KwiC7kEQvJjhAJCkQpaePokpUxqyesXzlEvMo3rCcvLCBE455K6o00q9ri0eIzMPZs6/I+oUSdouBzQkSZKK2Px182nzUhuGfj+0YO3C9BZ8+EA2Nbf8GmGZJEmSVIrEYlEXqAwJw3B4GIYXV6lSJeoUSXFm+fJ+5OauIynILVhLDGKsXPlyhFXxoWalxizN25/6ifNYveHHqHMkaZsc0JAkSSpCI+aP4LB+hzF37dyCtUd/OI5nH59DekJ1Vr0/lbB27T/ecVtrkiRJUll2441RF0iSpBKu5X53kZYIo2deHXWKJG1TUtQBkqSiU7169agTpDIrFsa4Z9I93DHhjoJLmpRPSGXg6E6c+tlIvqzciQbThlB7/2pwysqIayVJkntnqYR7+ml4+GEoVw62bNn6ew43S5JKkTUbF29zPTN3yzbXS6qSun9u2fAM+s+tQvngI3LzsklKTIk6SZK24oCGJMWxgw46KOoEqUzakLWBv73/N97//v2Ctf1T6vPKc3vT9ueRjNnnH7Sf8ThplZKji5QkSVtx7yyVYMOGwVVXwcknw3vvQWJi1EWSJO2SFelzWfPrZPZIgZwYpCZCZh5kxWD8sjxaHhx14Y4ryfvnarUuoMr6xxgz5266HfzfqHMkaSte4kSSJKkQzV83nzYvtdlqOOO01CMYdk9lDvv5M0Z3f5rO855xOEOSJEnaEV98AWefDa1bw6BBDmdIkkqtDZlrGTP1cColhVzzDQxeChty8v/Zcyp8sGRR1Ilx4/iD7uaX7ARWLH826hRJ+gNP0JAkSSokI+aP4Nz3zmV91vqCtTvyzuLyWyaQHMti6m0j6frfLhEWSpIkSaXITz/BSSdBnTowfDiULx91kSRJuyQ3L5vBEw6icepGNle9gZlXP1Dwve7AK9GlxaXU5PKsT+nI3ozju+WjaVa3a9RJklTAEzQkSZJ2UyyMcdfEuzh50MkFwxlpSWm89vMl/Puu99mYUJnl707lKIczJEmSpB2zbh106wZ5eTBqFNSqFXWRJEm7JBaL0X9ca5qkrWRlyumcdOgDf30n7bbOhzxGTgymfHdT1CmStBVP0JCkOLZo0aKCzxs1ahRZhxTPNmRt4G/v/22rS5o0rLQXLwzrTNdJLzC98jHUn/IOjZvtEV2kBARB0B3o3rRp06hTJKlEcu8slSCZmXDKKbB4MXzyCey3X9RFkiTtsoGTu9M0eRY/5rXmwo7vRJ1TaEr6/rl+tYP5KKcheybOJGPLSqqUqxN1kiQBnqAhSXFt0aJFBR+SCt/8dfNp81KbrYYzutY6irefOIiuk15lXJO/c+DPo6njcIZKgDAMh4dheHGVKlWiTpGkEsm9s1RCxGLwt7/BZ5/B66/DUUdFXSRJ0i57f8aV7BUbyYKsvehzzJSocwpVadg/H7D3zVRIglEzr4k6RZIKOKAhSZK0Cz5a8BGH9zucuWvnFqzduOeFPHHdBlov+YiPT3icY+a/QLnKyRFWSpIkSaXMjTfCkCHw8MNw5plR10iStMsmfP8E5TOeYlFmFc455lsSEzzUvri1bXIRP2eWI5bxHrFYLOocSQIc0JAkSdopYRjy0GcPceKbJ5KRlQFAWlIar1S4g2suG0GdzQuZcsuHdPnwKoKEIOJaSZIkqRR55pn8wYx//hOu8Z2ukqTS65slw9i49F+sy07hxHZfUz6latRJZVJCQgJp1XpRNy2LSfOejDpHkgAHNCRJknbYlpwt9B7amxs+uYFYmD91X79yfd5ZeStnX38/m4MKLBsyhaPuPj7iUkmSJKmU+eADuPJKOPlkePxxCBx2VrSCIOgeBMGLGRkZUadIKmWWrPuKBd+fTk4YcFjLcdSs1DjqpDLthEMeZkNuwILFD0edIkmAAxqSJEk7ZOn6pXTo34GBswYWrB1V70heG3EmJz59K99VakPazGk0O6NZhJWSJElSKfTll9CrF7RqBYMGQWJi1EUSYRgOD8Pw4ipVqkSdIqkU+XXTUj79sh3lEvPYq+kbNK3VLuqkMq9C2h6sCQ6jceoyFq6ZFnWOJDmgIUmS9Fc+//lzWr/YmunLpxesXbJ/Hx6+uw7HjHuM8Y0v4ICfx1CneY0IKyVJkqRS6Kef4KSToE4dGD4cypePukiSpF2SlbOZoZ8eQp3UTJJq303rxmdHnaTftG/+CAEwYfa1UadIkgMakiRJf+aVr1/hmAHHsGrTKgASg0Se2v9urrpwFoctHsrHXR+h44KXKFclJeJSSZIkqZRZtw5OOAFyc2HUKKhdO+oiSZJ2SSwW4/Xxh7B32i/8Ur4vXZrfEnWSfmef2kexMKsOe+R+zpbs9VHnSCrjHNCQJEnahpy8HK4cdSUXfnAh2XnZAFQvV513azzDmec+Q/1N8/j8xg/o8tE1BAleH1uSJEnaKZmZcOqpsGgRDBsG++0XdZEkSbtswMRjaJqygEV05Mw2r0Sdo21o1OBfVEkOGfXNjVGnSCrjHNCQJEn6H+s2r+P4gcfz1BdPFawdVOsg3l55J10uv5osUlny1hSOuv+kCCslSZKkUioWg/PPh8mT4bXX4Kijoi6SJGmXDZ7ah8bBJBZk78PfOoyNOkfbccz+17EyK4WN616POkVSGeeAhiRJ0u/MWjWLw/odxriF4wrWTt+/B0+9151Oj13BvIqtSPlqGgf2bB5hpSRJklSK3XQTDB4MDz0EZ50VdY0kSbts9Kz/Un3LAH7KrE7vY2aSkOCv3UqqhIQEYhVPpkHaJqb+OCDqHEllWFLUAZKkorPnnntGnSCVKkPnDqX30N5sytlUsPbfw2/juH/M44hF9zKh0fkc/tULlK+WGmGlJEkqCu6dpWLyzDP5gxmXXw7XXht1jSRJu+zLhQOJrb6DFTnl6NHhW1KTy0edVKxK4/65W4vHmDL1HdYuvJJRiy6kXr3LOXCf+0hMLFv/7iRFywENSYpj+3kNX2mHxMIYd028izsn3lmwVjGlIi8f/ATNz3qe/TdOZ0znB+g8+nqChCC6UEmSVGTcO0vFYPhwuPJK6N4dnngCAvfWkqTS6YdVk1m24G/khokcffjnVC1fN+qkYlca989Bzk+kJiRSjvUEAaxe8Szr1w6kefP3qFq1Q9R5ksoIBzQkSVKZtjF7I+e/fz7vzX2vYG3vanvTr+J9HHDKNVTKS+fz64Zy3EOnRFgpSZIklXJffgm9ekGrVjBoECQmRl0kSdIuWb3hR6bP7ESlxJC99x/KXnu0iDpJO2j58n4kBnkFXycFueTmrmP58n4OaEgqNg5oSJKkMmvhrws55a1TmLV6VsHa3nTi9k/P44h3+vBLYk0WvfEZR517SISVkiRJUim3cCGcdBLUrp1/ikaFClEXSZK0SzZnpzPys5bUTckmte6THLzXyVEnSZJKGQc0JElSmTRu4TjOGnIW67asA2DFQ1BnE8DY3z4gtcoW6jucIUmSJO26X36Bbt0gJwdGjcof0pAkqRTKi+Xy5riDaJq2nvRKV9Jl/yuiTtJOyszdslPrklQUHNCQpDg2b968gs9L4zUBpaLyzBfPcNVHV5EX5h9pmBSkUGdT9h9ul/jLmuJOkyRJEXHvLBWBzEw45ZT8EzQ++QT8/y1JUinWf9wRNE1bys+JJ9K71RNR50SuNO6f31+WS6skSE2AtETIicHmPBi/LI+WB0ddJ6msSIg6QJJUdFasWFHwIQly8nL4x4f/4J+j/lkwnFGnYh3+vv6DiMskSVLU3DtLhSwWgz59YPJkeO01aN8+6iJJknbZwMk9aJI0gwW5B3NuO19HgtK5fx6+ZDE9p8KQpZAbg0250HMqfLBkUdRpksoQT9CQJEllwi9bfuHMIWcybuG4grXWdVvzctOnSet6QYRlkiRJUhz697/h7bfhwQehZ8+oayRJ2mXDv7qePXOGsiBrT/oc9yUJCb73ubT6+pKvCz4f9PnZ7Jn9FlP+9g6HNjw9wipJZY1/i0iSpLg3d81c2rzUZqvhjF7NezGgylPU7nwatXKWRVgnSZIkxZlnn80fzPjHP+C666KukSRpl03+4QVSfn2Yn7MqcnbH2SQlpkSdpEJydLNbyQth5k+PRZ0iqYxxQEOSJMW1jxZ8xBEvH8GCXxYUrN11zF3c+GMf9up5HLkksfKdzwhr1/7jnbe1JkmSJGn7hg+HK66A7t3hiScgCKIuknZJEATdgyB4MSMjI+oUSRGZs2wUvy6+jPTcZLq2nU6FtD2iTlIhqlv1QBZn7UH57C+IxWJR50gqQxzQkCRJcSkMQ56Y+gQnvnki67PWA1A+uTzvnPkOnd+sz4E3nsSy1CYwdSr7n34gwcqVEIZbf6xcGfGfQpIkSSpFvvwSevWCli1h0CBI8urKKr3CMBwehuHFVapUiTpFUgSW/Tqb72afTCyEFgd/RJ0q+0WdpCJQocqJ1E7NYcbiQVGnSCpDHNCQJElxJzsvm4uHX8zVo68mFuZPwO9VeS8+Pf9Tal89hyNe6MvMqsdQe94k6h1WN+JaSZIkKQ4sXAgnnQS1asGIEVChQtRFkiTtkvVbVjNuWhsqJeVSa++X2W/PY6NOUhHp2Ow2cmMwa+FTUadIKkMc0JAkSXFl7ea1dHm9Cy99/VLB2hH1j2BK78/IPO5ZjhpzBxMbnc/BP39ItYaVIyyVJEmS4sQvv8AJJ0BODowa5aUCJUmlVk5eJkMmHkTd1M3EatxK2yZ9o05SEapdZR+WZNegUs4ML3Miqdg4oCFJkuLGnNVzaPNSGyYunliwdt7B5/Fht+GsPPBijpz7MmOOuI32C14ltWJyhKWSJElSnMjKgtNOg59+gmHDYP/9oy6SJGmXxGIxBow9lCZpq1mTdjYnHHJX1EkqBpWrnULN1FymLRwQdYqkMsIBDUmSFBc+nP8hbV9uy0+//gRAQMB9ne7jsX0eZPW+XTlk9RjG9XqR46b8l4TEIOJaSZIkKQ7EYtCnD0yaBAMGQPv2URdJkrTLXv/0eJqmfM9Psbb0avtm1DkqJh0PvI2cGHy38JmoUySVEQ5oSJKkUi0MQx7+/GG6D+rOhuwNAFRIrsDQnkM5Z/OpbDn0SPba9D1f3PIBxw76e8S1kiRJUhyoUweCABIT4a238teuvjrSJEmSdse7X1xKw3AMC7Ia0afj5KhzVIxqVGzIkuxaVI3NJC+WG3WOpDIgKeoASVLRadSoUdQJUpHKys3isg8v49WZrxasNazSkA/O/oCkYeupdOmR5JDMgpcmcuSFrSMslSRJJZ17Z2knrFq1Y2uSJJVgeXmbmPPDTSxf9izVEmIsyqrKeZ1mkZDge5t3RDztn6tV78Eem55nyo8vc9Q+l0SdIynOOaAhSXEsnjbJ0v9avWk1pw8+nclL/u9dDe32asd7Pd9jyX8nsu+DvVmW3Ihg1CgO6dQ4wlJJklQauHeWJEkqO9LTJzF7dg8ys38lLTFGLIQmFQIyN31FWtUOUeeVCvG0fz6m2S18Oe15Fix+zgENSUXOMUBJklTqzFo1i8P7Hb7VcEafFn0Y+7exLOgzkJYP9uT7Cq2p9M1n7O1whiRJklR4MjKiLpAkabctX96P3Nx1JCXEAEgIIC/vV5Yv7xdxmaJQrUJ9lmTvSfXYLHLzsqPOkRTnHNCQJEmlyoj5IzjylSNZnLEYgICAh497mJdPfIkvj7yJI9+5hs/r9KDpwjHUOqB6xLWSJElSHAlDuOiiqCskSdptWbmbok5QCVOj5hlUS4kx+Yfnok6RFOcc0JAkSaVCGIY8NuUxTh50MhuzNwJQKaUSw88ezhXNL2d6k14c9eXjfNL8ao5Y9DYVa5aLuFiSJEmKMy+8AO+8AxUr/vF7tWsXf48kSbtgS/Z6lq4evs3vZeZuKeYalRTHNLuZzDxY8PNLUadIinNJUQdIkorOrFmzCj4/6KCDIiyRdk9OXg5XjLqCF2a8ULDWqGojRpw9gr021WF+g860zvicMd0epfOH/yIIIoyVJEmlkntn6S98+y1cfTV07QojR0KC7/uSJJU+ebFcBo4/mKapuWzOzb+0SVoiZOZBVgzGL8uj5cFRV5YO8bZ/rlKuDktz6lMjcQ45eZkkJ6ZFnSQpTvmTlCTFsXXr1hV8SKVVemY6J7554lbDGUfudSRfXPQFeywoz7oD2tE0YzqT/vE2x410OEOSJO0a987Sn9i4Ec46C/bYA157zeEMSVKpNWDCUTRNXcxbyyrRYwoMWQobcmDwUug5FT5YsijqxFIjHvfPtWv1ompyyKR5T0WdIimOeYKGJEkqsX769SdOevMk5q6dW7B2zkHn8PLJL/Pzu3Oocs6JVI1lM+uRMXS8pn2EpZIkSVIc++c/Yf58GDsWatWKukaSpF0y6PNe7J0wjQU5zXj27Fk8/7uBw+7AK9GlqYTo2OxGJn/2MMuWvgLNro86R1KcctxdkiSVSJ8t+Yw2L7XZajjjPx3/wxunvcG8h8axZ6+jyQrSWPnuZxzmcIYkSZJUNF57DQYMgNtvh2OOibpGkqRd8uHMm6mV9TY/Ztbm/GNnkOBpUNqGSmk1WJbbkNoJ88jK2Rx1jqQ45d9AkiSpxBn47UCOfe1Y1m5eC0BqYipv9niT24++nS8ufpkDbz6ZxWn7EUydygE9Doi4VpIkSYpT338P//gHHH003HZb1DWSJO2Szxe8ROK6+1iWVYEzj/6W5MS0qJNUgu1Z+xwqJYVMnPdY1CmS4pQDGpIkqcQIw5A7xt/BeUPPIzsvG4Ca5Wsy7vxx9DqwF591up02L/2dGdWOo+78idRvXSfiYkmSJClObdkCPXtCuXIwcCAkJkZdJEnSTpu7fAxrF17M+twkOh8xjcrlvFSX/tyxzW5iUy4sWT4g6hRJcSop6gBJkiSAzNxM+g7ry1uz3ypYa1azGSPOHkGDcvWZ2qwv7eYNYNzeF9Lum+dIrZgcYa0kSZIU5665Br79FkaOhHr1oq6RJGmnLU+fw6xZJ5CWAAcf/BF1qx4YdZJKgXIplVkR25s6CQvIzNlIWnLFqJMkxRlP0JAkSZFbtXEVxww4ZqvhjC5NuvD5BZ9TO6s63zY4kbbzBvBxu//QcX4/hzMkSZKkojRkCDz/PFx/PXTrFnWNJEk7bf2W1XwytQ2Vk3Kp2bgf++/ZKeoklSL16/SmYlLI+LkPRp0iKQ45oCFJkiI1e/Vs2rzUhqlLpxas/aP1P/jwnA/J/WETS5t0oPma8Xxy7qt0mXw7CYlBhLWSJElSnPvpJ7joIjjiCLjnnqhrpMgEQdA9CIIXMzIyok6RtJNy8jIZMvEg6qVuIlbjZto2vTDqJJUyHQ+4jg25ActWDIw6RVIcckBDkiRFZvSC0Rz58pEszlgMQEKQwBPHP8HTJzzN8tHzyGp5BHtu/pEvbv+Qzm/0iTZWkiRJinfZ2dCrFyQkwKBBkOzJdSq7wjAcHobhxVWqVIk6RdJOiMViDBjXkiZpq1md2osTDnHYUDsvLbkiq2JNqZv4E5uz06POkRRnHNCQJEmRePbLZznxzRPZkL0BgIopFbm1yQdkfHwlg/8xkSontiMhL5ef+n9Ku/90ibhWkiRJKgP+/W/48kt4+WVo1CjqGkmSdtrrn3ajafJcfoodwdlHDoo6R6VYw3p9KZ8E4797IOoUSXEmKeoASVLR2XfffaNOkP4gL5bHtR9fyxPTnihY26vyXnz9781Uzzppq9tWqJZMnfNbFHOhJEkqi9w7q8wbMQIefRQuvxx69Ii6RpKknfbuF5fSMPyYBVmN6Hvcp1HnxL143z932PcqRi+/hdWr3gTuizpHUhxxQEOS4ljdunWjTpC2sil7E+e8dw4fzPugYO2wuofxzxrDqJ71x/97Tfp1bXHmSZKkMsy9s8q0pUvh/POhRQt4+OGoayRJ2mljv3uQKhtfYGF2Nc7rNIvEBH/9VdTiff+cmlye1eF+1Ev6ng2Za6mUViPqJElxwkucSJKkYrFy40o6Dui41XDG6QeczoQ+E1g8q050YZIkSVJZlpsLZ58N2dnw9tuQlhZ1kSRJO2XGosFkLb+RVdlpnHLUTNKSK0adpDixd/2LKJcI47/zBA1JhccBDUmSVOS+W/MdR7x0BNOXTy9Yu/7I6xl85mDKJ5Wj5eCbIqyTJEmSyrD//AcmT4bnn4c4P6pckhR/Fq6ZxuL5Z5MZS6Bd60nsUbFB1EmKIx32u4L0nARWr3k76hRJccQBDUmSVKTGLxzPkS8fyeKMxQAkBAk8d+JzPHjcgwQxmNbmSk6c82DElZIkSVIZ9MkncM89cMEFcO65UddIkrRT1m5czJQZR5OaEKPxfoNpVOOwqJMUZ5ISU1jLgdRPWkbGlpVR50iKEw5oSFIcmz59esGHFIXXvnmNrm90JSMrA4AKyRUYfvZwLm19KWFuHtMPvYg2Xz7NqAOvI6xd+48PsK01SZKkIuDeWWXOqlVw3nmw//7w5JNR10iStFO2ZK9n+OQW1EzJolzdhzm04elRJ5U5ZWX/vM9efyctEcbNuSfqFElxwgENSYpjGzduLPiQilMYhvxnwn84//3zyYnlAFC3Ul0+7fspJ+xzAmF2Dl83O5fDZr3KiNZ30vWbBwlWroQw3PpjpZPpkiSpeLh3VpkSi0Hv3pCRAYMHQ4UKURdJkrTD8mK5DBx/EI3T0tlQ6TKObXZt1EllUlnZPx+172X8kp3AurXvRp0iKU4kRR0gSZLiS3ZeNn8f/nde++a1grWDah3Eh+d8yF5V9iK2OZNZB5xFyyXDGdb+IU6eeB1BEGGwJEmSVNY88ACMGQMvvgjNm0ddI0nSThkwvh1NU5ewJKErfzvs2ahzFOcSE5L4NeFgGiTN5NdNS6lWoX7USZJKOU/QkCRJhSY9M53j3zh+q+GM4/Y+jskXTGavKnuRm7GJOU1P5pAlwxnW9VmHMyRJkqTiNnky3HYb9OoFF10UdY0kSTvlzc/OZO/EL1iQcyDnHTUy6hyVEfs3vIyUBBg35+6oUyTFAQc0JElSoViUvoh2r7Rj/KLxBWsXHnohH57zIZVTK5Ozbj0/ND2eZivG8kGP/pzy0WUOZ0iSJEnFad06OPtsaNQIXngBN+SSpNJkxNc3Uif7HX7MrEOfY78iIcFfcal4HNHkAtZlJ5L+y9CoUyTFAf/2kiRJu2368ukc8dIRfLfmu4K1e469h37d+5GcmEzWil9Y1LQTTddO5cPz3uLkd8+PsFaSJEkqg8IQ+vaFVavg7behcuWoiyRJ2mGf/fAiyb88yNKsCpzVcRZJiSlRJ6kMSUxIIj2xBQ1SVrNmw8KocySVcg5oSJKk3TJ83nCO7n80qzatAiAlMYU3e7zJze1vJggCtixaxfJ9O7JX+ixGXzKUk18/M+JiSZIkqQx64gkYPhwefhhatYq6RpKkHfbd8tGsW3Qp6bnJHHfEl1RKqxF1ksqgAxtdQXICTPjurqhTJJVyDmhIkqRd9vQXT3Pq26eyOWczANXSqvFJ7084+6CzAdg0bylrm3Wg1sYfGXfNh5z0/ElR5kqSJEll0/TpcMMNcMopcMUVUddIkrTDlqfPYfas/NeTDjl4FHtWPSDiIpVVhzfuzeqsJDb8+kHUKZJKOQc0JEnSTouFMa77+DquGHUFsTAGwN7V9mbKhVNo37A9AOu/+YmMQ9pTectKJt86mhMe6RRlsiRJklQ2ZWRAz55Qpw688goEQdRFkiTtkPVbVvPJ1DZUTsqlZuN+7L+nry0pOgkJCWxMbk3D1HWszJgXdY6kUswBDUmStFOycrM4971zeWTKIwVrbeq1YcqFU9ivxn4ApE/9nszD2pOatZ7p94+l611HRZUrSZIklV1hCBdfDIsXw1tvwR57RF0kSdIOycnLZMjEg6iXuolYjZtp2/TCqJMkDm58JYkBTPQyJ5J2gwMakiRph6VnpnP8wON5a/ZbBWun7n8q488fT60KtQD4Zfw3xNp3IJaTx6wnJ9DpxtZR5UqSJEllW79+MHgw3H03HHlk1DWSJO2QWCzGgLGH0iRtNWvSzuaEQ+6JOkkCoGXDnqzKSmZzxsioUySVYklRB0iSik7z5s2jTlAcWbp+Kd0GdmP26tkFa5cfdjlPHP8EiQmJAKwd+QXJ3buyIVaRhS+NpeOF+0aVK0mStFPcOyvuzJoFV10FXbrADTdEXSNJ0g57/dPjaZryPT/F2nJB2zejztF2lMX9c0JCAptT2tCAySz7dTb1qpW9/w0k7T4HNCQpjtWoUSPqBMWJOavncPzA41m6fmnB2v2d7ueGdjcQ/HYN69XvTKL8WSexmpqsHjSW9r0aRVQrSZK089w7K65s2gRnnQVVq8Jrr0GCh+hKkkqHd7+4mIbhGBZkNeaC4yZHnaM/UVb3z4c2uYb0nyYzae7dnH3kW399B0n6Hw5oSJKkPzVx0UROfftU0jPTAUhKSOLVU17lvIPPK7jNigEfU7XvqSwOGrHhvU844pS6EdVKkiRJ4p//hHnzYMwYqF076hpJknbIJ3Pup8rGfizMrsZ5nb4lwQFDlUAH1z+Ft79LISvzo6hTJJVSDmhIkqTtGjxnML2H9iY7LxuASimVePesdzmuyXEFt1n27DBqXH4W8xKbERv1MYcdVzOqXEmSJEmvvw79+8Ntt0GnTlHXSJK0XXl5m5jzw00sW/YcqZW7kJ0xil9z0zjlqJmkJVeMOk/apoSEBLLSjqRBOIEl676iQfWWUSdJKmUcP5QkSdv02JTH6PlOz4LhjDoV6zCp76SthjN+fnAQtS8/nVlJh5I4YRwtHM6QJEmSojNvHlx2GXToALffHnWNJEnblZ4+iSlTGrJ6xfOUS8yDjaNIS4RWBzzOHhUbRJ0n/anW+1xPQgCffn9P1CmSSiFP0JCkOPb5558XfH7kkUdGWKLSJBbGuP7j63l06qMFa/vX2J9R546iUdVGBWuL73iFvf57EVNTOlD9s+Hs17pSBLWSJEmFw72zSr3MTOjZE9LS4M03IcmX/eJNXh6MGgVffw2HHgrdukFiYtRVkrRrli/vR27uOpKC/K8TfvtnbNNk4JLIurTjyvL+uXm9Exg4K43czDFRp0gqhfxJTZLiWHZ2dtQJKmWycrM4//3zeXvO2wVr7fZqxwdnf8Ae5fYoWFt07VM0evRKxqcdT4Mv3qXJQeWjyJUkSSo07p1V6l17LXzzDYwYAfXqRV2jQpaXB127wrRpsGkTVKgAbdrA6NEOaUiSolHW98+55drTMBzDwjXTaFyzTdQ5kkoRL3EiSZIASM9M5/iBx281nHHa/qcxpveYrYczLr2fRo9eyejyp9F45vsOZ0iSJElRe/ddePbZ/CGNE0+MukZFYNSo/OGMjRshDPP/OW1a/roklUZbcjZvcz0zd0sxl0i7ps2+NwIw+fu7Iy6RVNo4oCFJkli6fintX23PhEUTCtb+edg/GXLmEMoll8tfCEMWnnsrjV74N8MrnUPz7wbTaL/UaIIlSZIk5Vu4EC68EA4/HO69N+oaFZGvvsofyvi9TZtg5sxIciRpt41bOBGAnFj+15l5kJEDw5blRVgl7bj99+zEz5nlCDeNjzpFUinjgIYkSWXc3DVzOfLlI5m9enbB2gOdH+DJbk+SmPDbWblhyMLTrqHxm/fwTrWLOPz716jX0CulSZIkSZHKzoZevfI/f+stSEmJtkdFYtMmGDfuj+sVKkCLFsWeU2YEQdA9CIIXMzIyok6R4s47X/ydw6quY/RKeOtn2JADg5dCz6nwwZJFUedJOyws35EGaZuYv3JS1CmSShF/syJJUhk2bek0TnjzBH7Z8gsAyQnJvHrKq5x78Ln/d6O8PBZ2u4zGY/rxZs2r6DLnMWrUDCIqliRJkkSdOrBq1dZrbdvCypXR9KjILFgAPXrArFmw996wenX+wEaFCtCmDXTrFnVh/ArDcDgwvHXr1n+PukWKJ+O+e4SqG19iYXY17jh9CWnJFQHoDrwSbZq009rudzPL5o5i6vz72LdOh6hzJJUSDmhIklRGfbTgI04ffDqbf7vmZ4XkCgztOZTjmhz3fzfKzWVRxz40/mwg/evezKmz76ZqNYczJEmSpEj973DG9tZUqg0fDr17Q2IijB4NnTrBqFH5lzVp0SJ/OCMxMepKSdpx3/78AVuWX0dGbirdj/q6YDhDKq32qX0UU76uQAITo06RVIp4iRNJksqggd8OpPug7gXDGTXK12D8+eO3Hs7IymLxEWfR6LOB9Gt0D6d/f4/DGZIkSZJUxPLy4Lbb4OSToWlT+Oor6NIlfxjjpJPg1lvz/+lwhqTSZOmv3zJ/bg+ywwQObzmWGhUbRp0kFYqECp2on7aFucvHRJ0iqZRwQEOSpDLm8amPc97Q88iN5QLQsEpDJvedzGH1DiMvD0aMgPtu38KcfU+l4YyhPLvv45w752YqVYo4XJIkSZLi3Lp1cMIJcPfdcOGFMHkyNPR3mJJKufVbVjN+WlsqJuZRr8kAmtZqF3WSVGja7X8zAF/88GDEJZJKCy9xIklSGRGGITePvZn7P7u/YK15reZ8dO5H1Ktcj7w8yChfh5OyV3HS7+53afp9JJS/qviDJUmSJP3RnDlRF6iIzJgBp58OK1dCv35w0UVRF0nS7svNy2bIxENolLqZrD1u5fC9z4s6SSpUjWu2YVJmJZKYHHWKpFLCEzQkSSoDcmO5XPTBRVsNZ7Tbqx2T+kyiXuV6QP61jPfI/uN1qxNWey1rSZIkqUSIxeDSSyHYxqUHa9cu/h4VmpdfhnbtIAzzT81wOENSvOg//nCapK1kdcqZnHDIXVHnSEUiuVIX6qVlMmvpiKhTJJUCnqAhSXGsVatWUSeoBNiSs4Ve7/big3kfFKydtO9JvH3G25RPLl+w9s2X2VudnCFJklSWuHdWqfDKK/m/vX/lFejbN+oaFYLMTLjiCnjpJTjuOHjzTahRI+oqSSocAyf3oGnSN/yY24oLOw6OOkeFzP3z/zlq/5tZ8O27zFjwMAfV9xVWSX/OAQ1JimOVKlWKOkERS89M5+RBJ/Ppkk8L1vq06EO/7v1ISvjdNiAW49RhvsArSZLKLvfOKvFWr4YbboAOHaBPn6hrVAgWL4YzzoDp0+GWW+A//4HExKirJKlwfDjz3+yZM5QFWXXp22Vq1DkqAu6f/0+D6i0Zl1WFVKYQi8VISPACBpK2z/9CSJIUp5ZvWE6HVztsNZxxw5E38MrJr2w9nBGG/HrhdRz4zZsRVEqSJEnaIddeCxs3wvPPb/sSJypVxoyBVq1g/nwYNgzuvtvhDEnxY8qPr5K47n6WZlWgZ8dvSEzwvcKKf6mVu7FnWjbf/Dw06hRJJZwDGpIkxaH56+bT7pV2zFo9q2DtkS6P8MBxDxD8z4u5m//7MNX6P8YLaVeSW2Mb1632WtaSJElStD75BN54A266CQ44IOoa7YZYDO69F7p2hT33zD894+STo66SpMIzf+UkVv10IRtyk+h8xDQqpXndJpUNRze7lbwQZv70WNQpkko4BzQkSYozX6/4mqNeOYpF6YsASEpI4rVTX+Oattf84ba5r7xG+TtvYHBCTw4c/RhJa1ZCGG79sXJlMf8JJEmSJBXYsgUuuwyaNoWbb466RrshPR1OOy3/ciZnnw1Tp8I++0RdJUmFZ/WGH/nqm+NIDKBZ8w+oW/XAqJOkYlO36oEsyapG+ewviMViUedIKsGK9VypIAheAU4CVodh2Hwb3+8IDAMW/rb0XhiG/y22QEmKMxMmTCj4vGPHjpF1qPhMXjKZE988kfVZ6wEol1SOd896l277dPvDbcORowguuoBP6ET2iwM4qoNzm5Ikqexy76wS6957YcGC/FM00tKirtEumjULevSARYvgySfhn//0SjWS4suW7PWM/KwVdVOySa37JAfW++NrUYov7p//qHyVk6id9TozFg/isMbnRp0jqYQq7t/E9AeO/4vbfBqGYYvfPhzOkCRpB3204CO6vN6lYDijalpVxv5t7DaHM5g2jdzTzuCb8GA+v/Y9zrswtZhrJUmSJP2l776DBx6A3r2hU6eoa7SLBg2CI46ATZtgwgS44gqHMyTFl1gsxsDxh9AoLYNNlf/B0ftfEXWSFImOzW4jNwazFj4VdYqkEqxYBzTCMJwE/FKczylJUlkwZM4QTh50MltytwBQu0JtJvaZSNu92v7xxvPmkX3ciSzO3pNnThzFrQ9WLuZaSZIkSX8pFoNLLoFKleCRR6Ku0S7IzoarroJzzoFWreCrr6Bdu6irJKnwDZjYkaapi1gcHMdprZ+JOkeKTO0q+7AkuwaVcmZ4mRNJ21USzzJvGwTBN0EQjAqCYLsXKAuC4OIgCKYHQTB9zZo1xdknSVKJ8tJXL9Hr3V7kxHIAaFilIZMvmMzBtQ/+442XLSP7mC6kb0jk2uajeWpwbRJK4m5AkiRJKutefRUmT4aHHoKaNaOu0U5avhyOPTb/cib/+heMHQt16kRdJUmFb8i0C2gcfMqC7H3p3f6jqHOkyFWudgo1U3OZtnBA1CmSSqiS9iuZr4CGYRgeAjwFvL+9G4Zh+GIYhq3DMGxd0x9SJUll1COfP8Lfh/+dWJg/kb1/jf2ZfMFkmu7R9I83Tk8np/PxZK/8hb/VHMVzo5tQvnwxB0uSJEn6a6tXw/XXQ4cO0Ldv1DXaSZMmQcuWMHMmvPUWPPooJCdHXSVJhW/sdw9SbdOr/JS5B72P+ZoE3wUkcXSzW8iJwXcLPU1G0raVqL8twzBcH4bhxt8+HwkkB0FQI+IsSZJKnDAMuXXcrVw35rqCtZZ7tmRSn0nUr1z/j3fIzCSv+ykwbx69UoZy3+iW1K1bjMGSJEmSdty118LGjfD88xAEUddoB4UhPPZY/skZVarAtGnQs2fUVZJUNGYuGUrm8htZlZ3GqUd9TWqy7wKSAGpWasyS7FpUjc0kL5YbdY6kEqhEDWgEQVAnCPJ/6gyC4HDy+9ZFWyVJUskSC2NcMeoK7vn0noK1Dg07MO5v46hZYRunSuXlEZ59DsHkT+kdvs5Fb3Xm0EOLMViSJEnSjvvkE3jjDbjpJjjggKhrtIM2boSzz4ZrroGTT4Yvv4QDt3vxZkkq3Zas+4ofvz+T7FgCR7aawB4VG0SdJJUo1ar3oHpKHlN+fDnqFEklULEOaARBMAiYAuwXBMHSIAguDILg0iAILv3tJmcAs4Mg+AZ4EugVhmFYnI2SJJVkOXk5nP/++Tzz5f8dkXfCPifw0bkfUSWtyh/vEIZw+eUE7w/lah6n5QM9OfXU4uuVJEmStBO2bIHLLoOmTeHmm6Ou0Q6aNw/atIEhQ+D+++Hdd6Fy5airJKloZGxZycQvj6J8Yh577fMGjWu2iTpJKnGOaXYL2TH4fvFzUadIKoGSivPJwjA8+y++/zTwdDHlSJJUqmTmZtLznZ58MO+DgrVezXsx4NQBpCSmbPtO//0vvPAC93ETG/teyfXXF1OsJEmSpJ13772wYEH+KRppaVHXaAcMHQrnnw+pqfDxx9CpU9RFklR0cvIyeWfiITRK3UJOjTtp3fhPf+UjlVnVKtRnSfaeVE+YRW5eNknbe+1WUplUoi5xIkmStm1D1gZOGHjCVsMZl7S6hDdOe2P7wxnPPw933smAhL581P5eL18tSZIklWTffQcPPAC9e/tb/hIsLw9GjID//AfOOAN69Mi/Es1XX/mvTVJ8i8ViDBh3GE3SVrMm7WyOP+iOqJOkEq1GzTOolhJj8g+eoiFpa8V6goYkSdp56ZnpdBvYjalLpxas3djuRu7rdB/B9iYu3nuP8PLL+STlRO6t/yKfDw1IcVBbkiRJKpliMbjkEqhUCR55JOoabUdeHnTtClOnwqZN+Wv16sH48VC+fLRtklTU3vzsNJomz+bHvMO4sO2bUedIJd4xzW5myudPsfTnl+i4/1VR50gqQRzQkKQ41rZt26gTtJvWbV5Hlze68NWKrwrW7ut0HzcdddP27zRxIuE55/Bt6uGcnzKYcR8mUb16McRKkiSVYu6dFalXX4XJk+Hll6FmzahrtB2jRsGUKbB58/+tZWTAuHFw0knRdUlSURv+1fXUzf2ABdn16Hvc51HnqIRw//znqpSrw9Kc+tRInENOXibJiV6+TlI+L3EiSXEsNTW14EOlz6qNq+g4oONWwxlPdXvqz4czZs0iPOUUfk7am+OyRvD6u+XZf/+ib5UkSSrt3DsrMqtXw/XXQ4cO0Ldv1DX6E598svVwBuSfpDFzZiQ5klQsPl/wEim/PszPWRU5++hvSUzwfb/K5/75r9Wu1YuqySGT5j0VdYqkEsQBDUmSSqBl65dxdP+jmb16NgABAS91f4l/Hv7P7d9p0SLo2pWMvIoctekj7n6uutdAliRJkkq6a6+FjRvh+edhe5cwVOTmzoXXXvvjeoUK0KJFsedIUrGYt2IcaxZeTEZuEl2O+IIKaXtEnSSVKh2b3ciWPFi49JWoUySVIA5oSJJUwixKX0SH/h2Yt24eAIlBIq+f9joXtrxw+3dauxa6diUrfQvtNo7mjH814OKLiylYkiRJ0q755BN44w246SY44ICoa7Qds2dDx46QnAxt2kDFivmzNBUr5n/drVvUhZJU+FZv+JGvvz2ehACaHzSCPav695S0syql1WBZbkNqBfPIytn813eQVCZ4FpUkxbGsrKyCzz1qrnT4Yd0PdHqtEz+v/xmApIQk3jr9LU5vdvr277RpE5x4InmLltAldwyNTzyQhx4qpmBJkqQ44d5ZxW7LFrjsMmjaFG6+OeoabcfXX8Nxx0FqKowbl/+va9So/MuatGiRP5yRmBh1pSQVri3Z6xn5WUvqpuRQrv4zNKvbNeoklUDun3fMnrXPoUL6fUyc9xhdmt8SdY6kEsABDUmKY1OmTCn4vGPHjtGFaId8t+Y7Or3WiZUbVwKQkpjCu2e9y0n7nrT9O+XkwJlnEk6fTu+09/h1v6MYMcgXCKWyIgiCCsCzQDYwIQzDgREnSVKp5d5Zxe7ee2HBgvxTNNLSoq7RNnzxBXTtCpUr5w9nNGmSv37SSfkfkhSP8mK5DBx/ME3T1pNe6Qq67PuPqJNUQrl/3jHHNLuB8ZPuY8XyAeCAhiS8xIkkSSXCzJUzObr/0QXDGeWSyjHi7BF/PpwRi8GFF8KoUdy8xwuMq3QKw4dDpUrFFC2pSARB8EoQBKuDIJj9P+vHB0EwLwiCBUEQ3PTbcg/gnTAM/w6cXOyxkiRp18ydCw88AOedB506RV2jbfj8c+jcGapVg0mT/m84Q5Li3WsTO9I0dTFLErpyaqsno86RSr3yKVVZkbc3dRIWkJmzMeocSSWAAxqSJEXsy2VfcsyAY1i7eS0AFVMq8tF5H3Fck+P+/I433QSvv85LDe/isQ0XMWwYNGxYDMGSilp/4PjfLwRBkAg8A3QDmgFnB0HQDKgP/PzbzfKKsVGSJO2qWAwuuQQqVoRHHom6RtswcSJ06QJ16uQPZ/hzlqSyYvDUPjQOPmNB9v6cd9TIqHOkuFF/z95UTAoZP/fBqFMklQAOaEiSFKHJSybT6bVOpGemA1AltQpjeo+hQ8MOf37HRx+Fhx7ik/0u5++Lb2HAAGjTpuh7JRW9MAwnAb/8z/LhwIIwDH8KwzAbeAs4BVhK/pAG/MnePgiCi4MgmB4EwfQ1a9YURbYkSdpR/fvDp5/CQw9BrVpR1+h/fPIJdOsGDRrkD2rUr//X95Gk0iwvbxPffn8Fo8cmUmPLABZm7kHvY2aQkOCvj6TC0vGA69iQG7BshVemleSAhiRJkZmwaAJd3+jKhuwNAFQvV51x54/jiPpH/PkdBw6Ea6/l++Zn0HXeE/znPwE9exZDsKQo1eP/TsqA/MGMesB7wOlBEDwHDN/encMwfDEMw9ZhGLauWbNm0ZZKkqTtW70arrsO2reHvn2jrtH/GDkSTjoJmjaFCRNgzz2jLpKkopWePokpUxqyevmzpCbGAGhaIWTLpukRl0nxJS25IqtiTamb+BObs9OjzpEUMQc0JEmKwPiF4zlh4AlsztkMQO0KtZnQZwIt92z553f8+GPo04c1B3akxezX6Xl2IrfdVgzBkqIWbGMtDMNwUxiGfcMwvCwMQ9+GIUlSSXfddbBxIzz/PPjO5BJl2DA49VQ48EAYP97DTSSVDcuX9yM3dx1JCfnDGQkB5OX9yvLl/SIuk+JPw3p9KZ8E4797IOoUSRHzJ0FJkorZuIXjOPHNE9mSuwWAupXqMrHPRJrXav7nd/zyS+jRg817H8hBP75Py7ZpvPIKBNv6ta2keLMU2Ot3X9cHlkfUIkmSdsXYsfD663DjjdCsWdQ1+p0hQ+CMM+DQQ/P/NVWvHnWRJBWPWJgbdYJUZnTY9yrW5wSsWPVm1CmSIuaAhiRJxeiTnz7ZajijXqV6TDh/AvvV2O/P7/jDD3DCCeTuUZN2GaNIq12FoUMhLa0YoiWVBF8C+wRB0DgIghSgF/BBxE2SJGlHZWbCpZfmXzvj5pujrtHvvPkm9OoFbdrAmDFQtWrURZJUfH5cOXKb65m/vW4lqfCkJpdndbgf9ZKWsCFzbdQ5kiLkgIYkScVkzI9j6D6oO5m5mQDUr1yfCX0msE/1ff78jitWQNeuhCGcUXE0P27ekxEjoHbtYoiWVOyCIBgETAH2C4JgaRAEF4ZhmAv8ExgNzAUGh2E4J8pOSZK0E+69FxYsgOeeg3Lloq7Rb159Fc47D44+Gj76CCpXjrpIkorP4Kl9qJK4nqw8yMzLX8vMg4wcGLYsL9o4KU7tXa835RLh889r8e33V5GXtznqJEkRcEBDkqRi8PGPH3PyWycXDGfsVXkvJpw/gaZ7NP3zO2ZkQLduhKtXc0PzkQyfty9vvQXN/+JqKJJKrzAMzw7DcM8wDJPDMKwfhuHLv62PDMNw3zAMm4RheE/UnZIkaQfNnQv3358/CdC5c9Q1+s0LL8AFF+T/KxkxAipWjLpIkorP5wteourmAXyVnshpn8OQpbAhBwYvhZ5T4YMli6JOlOJOevokUn59hDCE1ISQ1SueZcqUBqSnT4o6TVIxS4o6QJKkeDd6wWhOeesUsvKygN+GM/pMYO9qe//5HTMz4dRTYc4cXunxIQ8PPozHH4cTTijyZEmSJEmFIRaDSy7J/+3/I49EXaPfPPUUXHklnHgivPOOl46UVLYsWfcVq366hJwwifM6fc81pzYp+F534JXo0qS4tnx5P3JzfyEI8r9OCnLJzV3H8uX9qFq1Q7RxkoqVAxqSFMc6duwYdUKZ99GCjzj1rVMLhjMaVGnA+PPH//VwRl4e9O4NEyYw6eI3uOjFLlx6af6LiJIkSSp87p1VJPr3h08/hZdeglq1oq4R8PDDcP31cNpp8NZbkJISdZEkFZ8t2euZ8OXR1EyO0Xifd6hVqclf30naDvfPkrRrHNCQJKmIjPxhJKe9fRrZedkANKzSkPHnj6dxtcbbv1OdOrBq1VZL+754LZ07n8uTT1IwYS1JkiSphFu9Gq67Dtq3h759o64RcM89cOut0LMnvP46JCdHXSRJxScWizFwQmuapm1kQ5XradHgtKiTpDIlM3fLTq1Lil8JUQdIkhSPPpz/4VbDGY2qNmJCnwl/PpwBfxjOAKjDKoYM8cVDSZIkqVS57jrYuBGefx4SfAkuSmEIt9+eP5zRuze88YY/X0kqe96e0oumKT+wMGxP90MfjDpHKnPeX5ZLRg5k5uV/HQshIweGLcuLNkxSsfOnQ0mSCtnoBaPpMbjH1sMZ50+gUdVGu/yYVasWTpskSZKkYjB2bP4RDTfeCM2aRV1TpoUh3HQT3HUXXHABvPoqJHmmsKQyZsL3T1Azawg/Ztbmb0ePizpHKpOGL1lMz6kwZGn+kEZCAFfPhA+WLIo6TVIx88cRSYpjGzZsKPi8UqVKEZaUHWN/Gsupb59aMJzRuGpjJvSZQIMqDf7yvnlZuSQWdaAkSZK2yb2zCk1mJlx6KTRtCjffHHVNmRaG8K9/wRNPwGWXwdNPe5iJpLLnpzVTWP/zv9gUS6FH++kkJvhrIRUO98875+tLvi74fO7yMaya34V72/Xk7CPfirBKUhT8m1iS4tiMGTMKPu/YsWN0IWXEpMWT6D6oO5m5mQA0qNKA8eeP36HhDID5Fz/MAUUZKEmSpO1y76xCc++9sGABjBkD5cpFXVNmxWLwz3/Cc8/BVVfBY49BEERdpagFQXAqcCJQC3gmDMOPoy2SitaGzLV8PqMT1ZJCDjnoA6pVqB91kuKI++ddt1+dTsyalcTmzAlRp0iKgDPjkiQVgs9//pwTBp7AltwtANSrVI/x54+nYdWGO/YAs2ezz8A72ELqH761sWLtwkyVJEmSVFTmzoX774fzzoPOnaOuKbPy8uDii/OHM2680eGMeBEEwStBEKwOgmD2/6wfHwTBvCAIFgRBcNOfPUYYhu+HYfh3oA/QswhzpcjFYjHentiauqlbSKx9J83qdo06SdJvEhISWJ+wP3WTV7Ele33UOZKKmQMakiTtpi+WfUG3gd3YlLMJgD0r7sn488ezd7W9d+wBcnKgTx/yKlahSdLPBIQFH5UqhkwYtLII6yVJkiQVilgMLrkEKlaERx6JuqbMys2FPn3g5Zfh9tvhvvsczogj/YHjf78QBEEi8AzQDWgGnB0EQbMgCA4KgmDE/3zU+t1db/3tflLcGvjZyTRNXczPCV04/qA7os6R9D/q1jqVcokwZUG/qFMkFTMHNCRJ2g1frfiKrm90ZX1W/qRzrQq1GPu3sexTfZ8df5AHH4QZM8h89DlWhzVJSsp/AbFiRWjTBrp1K6J4SWVKEATdgyB4MSMjI+oUSZLiU//+8Omn8NBDUKvWX95chS8nB849F954A+6+G/7zH4cz4kkYhpOAX/5n+XBgQRiGP4VhmA28BZwShuGsMAxP+p+P1UG+B4BRYRh+tb3nCoLg4iAIpgdBMH3NmjVF94eSisjHs++hbu6HLMisT+/2o6LOkbQN7fa9nJwYLFzxdtQpkopZUtQBkiSVVt+u+pbjXj+O9Mx0AKqXq84nvT/hgJoH7MSDfJv/qmHPnjyy6HTy8uDpp+HXX6FFi/zhjMTEIsmXVMaEYTgcGN66deu/R90iSVLcWb0arrsO2reHvn2jrimTsrOhVy8YOjR/Rua666IuUjGpB/z8u6+XAm3+5PZXAJ2BKkEQNA3D8Plt3SgMwxeBFwFat24dFlKrVCy+XzGW7JW3kZGbxllHzyAhwffpSiVRlXJ1WJpdlTRmRZ0iqZg5oCFJ0i74bs13dH6tM79syX/zTtW0qozpPYaDah+04w/y26VNqFaN9Luf5olWcMYZcPnlRdMsSZIkqYhcdx1s3AjPPw/+IqzYZWbm/yz14Yfw5JNwxRVRF6kYbeuMlO0OVIRh+CTwZNHlSNFK37ycr745kUpJcFiL0VQu54lOUkmWWL4t9WKjWLLuKxpUbxl1jqRi4k+MkiTtpHlr53HsgGNZszn/mNPKqZX5+LyPOXTPQ3fuge67D77+Gp5/nsffqMH69XDbbUUQLEmSJKnojB0Lr78ON9wAzZpFXVPmbN4Mp5ySP5zxwgsOZ5RBS4G9fvd1fWB5RC1SpPJiubwzqTW1U7MoX/cB9q3TIeokSX+hecMLAJi24OmISyQVJwc0JEnaCYvSF9HptU6s2rQKgIopFfno3I84rN5hO/dAM2fCXXfBOeeQfsxpPP44nHYaHHxwoSdLkiRJKgp16kAQQOfO+V/fc0/+mopUXh6MGJH/49SQIXDCCTBmDLzyClx8cdR1isCXwD5BEDQOgiAF6AV8EHGTFInXJ3WladoKViafSqdm10edI2kHtNirB79mJ5CR/knUKZKKkZc4kSRpB63YsILOr3Vm2YZlAJRPLs/Ic0bSdq+2O/dA2dn5lzapUQOefJInn4SMDLj99sJvliRJklREVq3asTUVmrw86NoVpk2DTZvy52NisfwDTM47L+o6FbUgCAYBHYEaQRAsBe4Iw/DlIAj+CYwGEoFXwjCcE2GmFImR39xCI8axIGtvLujwbtQ5knZQQkIC62hC7cQF5ORlkpyYFnWSpGLggIYkSTtg3eZ1dHmjCz/++iMAKYkpDOs1jPYN2+/8g91zD3zzDQwbRkZSdR57LP9I3hYtCrdZkiRJkuLJqFH5wxkbN+Z/HYaQmgpVq0aapWIShuHZ21kfCYws5hypxJi1dASsuZefc8tzdscvSUjw4HSpNKlZ/UQqbXicL356jXb7eByYVBb4N7UkxbGUlJSCD+26DVkb6DawG7NXzwYgMUhk8BmD6bx3551/sK++gnvvhd694eSTeeopSE/39AxJkqSouXeWSr6vv84/OeP3srPzryApSWXR2o2L+W5OD7LDgKNajaNC2h5RJ6kMcf9cONru+0/yQpi/dGDUKZKKiSdoSFIcO/LII6NOKPW25Gyh+6DufLn8SwACAgacOoBT9j9l5x8sKyv/0iY1a8ITT7B+PTz6KHTvDi1bFm63JEmSdo57Z+2U+fOjLiiTDj0UkpIgJ+f/1ipU8DRCFY0gCLoD3Zs2bRp1irRNuXnZDJt8GA1Tckit/wyNa7aJOklljPvnwlGrUhOWZlUkkRlRp0gqJp6gIUnSdmTnZXPmkDOZuHhiwdqzJz7LuQefu2sPeNddMGsW9OsH1arx9NPw669wxx2FFCxJkiSpeNx227bXa9cu3o4y5pdf8oczkpIgCKBiRWjTBrp1i7pM8SgMw+FhGF5cpUqVqFOkbXptYkeapK1hbbmzab/vP6LOkbQbwrTDqJ+6iZUZ86JOkVQMHNCQJGkb8mJ59B7amw9/+LBg7YHOD3Bp60t37QGnT4f7788/QePEE9mwAR55BE48EVq1KpxmSZIkScVgxgwYPDh/SCMMt/5YuTLqurj15Zdw8cXQoQMMGQL//S8MGgSjR0NiYtR1klS8hs34F3snTGFB9v70avtm1DmSdtN+e/UmIYApPzwddYqkYuAlTiRJ+h9hGHLpiEsZPGdwwdot7W/hhnY37NoDZmXB+edDnTrw2GMAPPNM/ru/PD1DkiRJKmVuvhmqV4drr426pMxYsQJOPTX/R6p33sm/auSpp0ZdJUnRmLFoMKnpj7M4pxLndfoy6hxJheCwRucy8qcLWffLSOCpqHMkFTEHNCQpjq1du7bg8xo1akRYUnqEYch1H1/HS1+/VLB2xeFXcNcxd+36g955J3z3HYwcCVWrsnEjPPxw/jG8hx22+82SJEnafe6dtUPGjYOPP84/Ds/LHhSLzEzo0QPS0+Hzz/OHMySprFqZMY+f5p1LYpBApzaTSUuuGHWSyjD3z4UnKTGF1bEG1EhYRF4sl8QEf30rxTMvcSJJcWz27NkFH9ox90++n0enPlrw9fmHnM/jxz9OEAS79oBffAEPPggXXlhwYeRnn4V16zw9Q5IkqSRx76y/FIZw002w117wj39EXVMmhCFcdhlMnQqvvQaHHBJ1kSRFJycvk1FT2lIlOZe6TV6hfrWDo05SGef+uXBVq9aFqskxvl48JOoUSUXMAQ1Jkn7z8lcvc/O4mwu+7nFAD146+SUSgl386zIzM//SJnXr5r/DDti0Kf/0jK5doU2bwqiWJEmSVCyGDoUvv4T//AfS0qKuKRMefxz6988fbj/99KhrJClar40/ksZpv7K+4kUc0eT8qHMkFbI2+/wTgDlL+kcbIqnIeUaOJEnAsO+HcfGIiwu+PrbxsbzZ402Sduc4uTvugO+/h9GjC44/fu45WLPG0zMkSZKkUiU3F26+GQ44AHr3jrqmTPj4Y7juOjjtNLj99qhrJCla735xMU2SvubH3BZceHi/qHMkFYH61Q5mQmY5QqZFnSKpiHmChiSpzPt08af0ercXsTAGQMs9WzK051BSk1J3/UGnTMk/KuPvf4cuXQDYvBkeegiOOw7ati2McknacUEQdA+C4MWMjIyoUyRJKn0GDIB58+CeeyDJ9zsVtR9+gJ494cAD8y9tkuArmIqA+2eVFFN/HECljf1YmFmV847+LOocSUUoO6UF9VMy+GXjkqhTJBUhf7yRJJVps1bNovug7mTmZgLQpFoTRp4zksqplXf9QbdsgT59oH79/CGN3zz/PKxe7ekZkqIRhuHwMAwvrvLbiT6SJGkHbdkCd96Zf43CU0+NuiburV8Pp5wCiYkwbBhUrBh1kcoq988qCZb++i3Lf7yAjJwkurWdSmpy+aiTJBWhJnXPJikBPv/hmahTJBUhBzQkSWXWovRFdH2jKxlZ+e+GqVOxDh/3/pjaFWvv3gPfdhvMnw8vvwyV8wc9Nm+GBx+ETp2gXbvdLZckSZJUbJ59FpYuhfvvhyCIuiau5eXBuefm/zg1ZAg0bhx1kSRFJzNnI2OnHUX5xBh77zeQOlX2izpJUhE7osmFbM6FlWs+iDpFUhHyTEZJUpm0ZtMaur7RlRUbVwBQObUyo84dxd7V9t69B/7sM3j0Ubj0UujcuWD5xRdh1ar8FxklSZIklRIZGXDvvdC1K3TsGHVN3LvtNhgxAp55Bo45JuoaSYrWGxMOp2naBtIrXUmrRmdFnSOpGKQml2d57p5UTfiBWCxGgtd5k+KS/58tSSpzNmZv5IQ3T2D+uvkApCamMqzXMFrUabF7D7x5M/TtCw0b5h+X8ZstW+CBB/JfYGzffveeQpIkSVIxeugh+OUXuO++qEvi3qBB+f8zX3wxXHZZ1DWSFK23ppxL0+S5/BQ7glNbPRF1jqRiVKnKsdRIyWPO8pFRp0gqIg5oSJLKlJy8HE4ffDrTl08HICFI4M3T36Rjo467/+C33AI//ACvvAKVKhUs9+sHK1fCHXfs/lNIkiRJKiYrV8Jjj0GvXnDooVHXxLUZM+CCC/IH2p96yivJSCrbPp3/LNW3vMmPmTX529ETo86RVMxaNcmfVP1m4UsRl0gqKg5oSJLKjDAMuXjExXz848cFa8+e8Cw9Duix+w/+6afwxBNw+eVbncWbmZl/esbRR+d/SJIkSSol7r4bsrPhrruiLolrK1fCqadCrVrwzjuQkhJ1kSRFZ9HaL1m3+Ap+yUnmlKO+JCnR/yhKZU3TWu1YkZlC9qbJUadIKiJJUQdIkopOxYoVo04oUf478b/0n9m/4Os7j76TS1pfsvsPvGlT/qVNGjeG++/f6lsvvQTLl8Mbb+z+00iSJKnouHfWVn78EV54AS66CJo2jbombmVlwemnw7p18Pnn+UMaklTW5OVtYs4PN7Fs2XNkxyAlIcbe+w+lRsWGUadJf8r9c9HZnNSc+sFXbMr8hQppe0SdI6mQOaAhSXGsdevWUSeUGP1n9ufOiXcWfH1Biwu4/ejbC+fB//3v/BdwJ0yA3/1gkpWVP6/Rvj107Fg4TyVJkqSi4d5ZW7n9dkhOhttui7okboVh/gGEn38Ob78NLVpEXSRJxS89fRKzZ/cgMyeDcol5lEuEMChHg0pVo06T/pL756KzV50epKz9is8WPEuX5rdGnSOpkHmJE0lS3Bvz4xj+PvzvBV93adKF5096nqAwLmw8YUL+RZKvvPIP1zB55RVYtgzuuMNrKEuSJEmlxsyZ8OabcPXVULdu1DVx6+mn4eWX4ZZb4Kyzoq6R/igIgu5BELyYkZERdYri2PLl/cjNXUdSkFuwFoRbWL68X4RVkqLWrullZOXBzyvfjTpFUhFwQEOSFNe+XfUtpw8+ndxY/g+6B9c+mCFnDiE5MXn3H3zjRrjgAmjSBO69d6tvZWXBffdBu3Zw7LG7/1SSJEmSisktt0C1anDDDVGXxK2xY+Ff/4JTToH//jfqGmnbwjAcHobhxVWqVIk6RZJUxlRI24NlOTWokPdd1CmSioADGpKkuLV0/VJOGHgCG7I3AFC/cn1GnjOSyqmVC+cJbrwRFi2CV1+FChW2+lb//vDzz56eIUmSJJUqkybByJFw001QtWrUNXHpxx/hzDNh//3h9dchwVcnJZVhm3M2bXM9M3dLMZdIKmlSK7anTmo281dOijpFUiHzRyBJimPLly8v+Chr1met58Q3T2TZhmUAVE6tzMhzRlKvcr3CeYJx4+DZZ/OPPW7ffqtvZWfnH6jRti107lw4TydJkqSiVZb3zvpNGOYPZtStC//8Z9Q1cWnDhvxTM4IAhg2DSpWiLpKkaI1dOBmA7Fj+15l5kJEDw5blRVgl7Rj3z0WrReP8S3Z/tfD5iEskFbakqAMkSUVn/vz5BZ/XLUPXTs7Jy+GMwWfw7apvAUhKSOLds97loNoHFc4TbNiQf2mTffaBu+/+w7cHDIAlS+DFFz09Q5IkqbQoq3tn/c7w4TBlSv5Gvnz5qGviTiwGvXvD99/D6NH5V4qUpLJs+qK3aVl5DZNWw+ItcGpdGLoc3lwCB9RaxH+iDpT+gvvnonXAnl35bnYSmzLHR50iqZA5oCFJiithGHLFqCsY89OYgrWXur9E570L8SiL66/Pn8CYPPkPL9zm5OSfntGmDXTpUnhPKUmSJKkI5eXBzTfDvvtC375R18SlO+7IPzXjiSegU6eoayQpWpuz05n//fmUS0jgkq7fU7vKPgB0B16JNk1SCZGQkEBGwr7UTfiOzJyNpCVXjDpJUiHxEieSpLjy5LQneWHGCwVf33n0nZzf4vzCe4IxY+CFF+Caa+DII//w7ddeg0WL8l989PQMSZIkqZR44w2YMyf/hLwk389U2IYMyf+f9oIL4Ioroq6RpOgN+rQzddOyKL/nHQXDGZL0v/aseQrlE2HqgpeiTpFUiBzQkCTFjVE/jOKaj68p+Pqcg87h9qNvL7wnWL8eLrwQ9tsP7rrrD9/OyYF77oHWreH44wvvaSVJkiQVoawsuP12aNUKTj896pq48/XXcP75+fPtzz7rILskTfj+CRonzGBBTjO6HlSIr1tJijvt9v0nuTH4acVbUadIKkS+JUCSFBdmr55Nz3d6EgtjABxR/whePvllgsJ89e+662DZMvjsMyhX7g/ffuMNWLgQnnzSFx0lSZKkUuP55/MvYfjyy5Dge5kK0+rVcMopUL06vPcepKZGXSRJ0fp101LWLrmWvDCZszqMjzpHUglXtXxdfs6uSirfRJ0iqRD5U6ckqdRbvWk13Qd1Z0P2BgAaVGnA+z3fJy0prfCeZPRo6Ncvf0jjiCP+8O3c3PzTM1q1ghNPLLynlSRJklSENmzIv/ZGp07QuXPUNXElOzv/QJI1a+D996F27aiLJCl67352DNWS89irybNULlcr6hxJpUBi+SOol5bJknVfRZ0iqZA4oCFJKtUyczM57e3TWJS+CICKKRUZfvZwalcsxFf/MjLgoovggAPgP//Z5k0GDoQff8w/GdnTMyRJkqRS4pFHYO1auO++qEviShjCFVfA5Mnwyiv5g+ySVNZ9OPPfNE1ZwBLacWTTi6LOkVRKHNigL/w/9u47PKpqbePwb6WH0GvooCA2EBVUVBQ7esACKmL3KKjoZz927IIcu0dBBSzHgg2RIqAHFCOCdESUItIJoQQILXVmfX8smhAkCZOsmclze+1rZvbs7HlAkuyZ/e73BaYu6u85iYiEigo0REQkYllr6TGyB5NWTALAYPi4y8e0qtMqtC90zz2Qng7vvQdJ+3blKChwF90deyx07hzalxYRCRVjTGdjzNtZWVm+o4iIiISHtWtdgUbXrtC2re80UWXAAHj7bXjwQeje3XcakZLR8bOE0qqNcwms68fKnGS6nzrWdxwRiSDHNrqUjfkxbNr0re8oIhIiKtAQEZGI9dzE5/hwzoe7Hj9/zvN0bhHiConRo90lXw88ACecUOgmQ4bAokXqniEi4c1aO9Ja27NKlSq+o4iIiISHPn0gO9vNKpSQmTAB7rzTjX585hnfaURKTsfPEirBYJCxU84mKdbS6qhPSIqv6DuSiESQmJgYMu0h1IldSUEgz3ccEQkBFWiIiEhE+nrh1zzy3SO7Ht947I3c0+6e0L7Ixo3QowccdRQ8/nihmwQC7kPHY46Biy4K7cuLiIiIiEgpWbrUtXm44QZo0cJ3mqixZAlceik0a+bGQMbG+k4kIuLfF1P/yaFJa1gbfxGtGl7oO46IRKCaNS6gUpxl6pL/+o4iIiEQ5zuAiIiUnho1aviOUCoWrF/AlV9eicUCcFrj0+j/j/6YULevuPtuWLMGRoyAxMRCN/nkE1i4EIYOVfcMERERkUgWrcfOsh+PP+4O4PdTiC3Ft3WrK1oPBNxbKDUdEBGBhRkTqLjtfZbkV+Xac7/wHUckpHT8XHbaNbuduTNfY+HKDzm52U2+44jIQVKBhohIFGvZsqXvCCG3OXczF396MZtzNwPQqEojvrjsCxJiE0L3IqmprjBjpzZtoE4dyMj4y2aBADz9NLRsCRdfHLqXFxEREZGyF43HzrIfc+fCBx/AvfdCgwa+00SFYBCuvRZ++w3GjIHmzX0nEhHxryCQx6TZF1ErDk4/fjSxMTodI9FFx89lp06V5nyTW5EYpvuOIiIhoBEnIiISMYI2yDXDrmH++vkAJMUlMazbMGql1ArtC+1ZnPE36z77DBYsgMcegxj9RhURERERiQyPPAKVK8NDD/lOEjWeegqGDYMXXoBzz/WdRkQkPHz808U0SdpMTuUeHFKrne84IhLhgkltaJC4jTVZf/iOIiIHSaeTREQkYjz1w1OMWDBi1+NBnQdxXN3jvGTZ2T3j6KOhSxcvEUREREREpLh++snN37j/fqhe3XeaqDB0KDz5JFx3Hdx1l+80IiLhYeayL0gtGMOinHpc0uZN33FEJAq0aHA1MQYmL/qP7ygicpBUoCEiIhHhq/lf8eQPT+56fG+7e7mq1VXe8nzxBcybB717q3uGiIiIiEhEsBYefNCNL7zzTt9pIlogAKNGwW23wVVXwQknwJtvgjG+k4mI+Jedt5l5865heyCGTu2+I0YfHIlICLRteg1bCgzrM8f4jiIiB0lDz0REotjSpUt33W/SpIm3HAfr93W/c82wa3Y9PvuQs3nu7OdK58VmzjzgJsGg655x5JFw6aWlE0NEREREyla0HDvL3xgzBiZOhDfegJQU32kiViAA550HP/8M27a5ooyEBIiP951MRCQ8DPnxHA5JyiGn+uOkVmnhO45IqdHxc9mKi01gTaAhNWIWEwwGVfwlEsH03SsiEsWWLl26a4lUm3M3c8mnl7A1bysATas25ZOunxAXU0o1hgMGFL6+Tp1dd4cOhd9+U/cMERERkWgSDcfO8jeCQXjoITj0UOjRw3eaiDZmDEyZ4oozwDUmmT3brRcRKe/SFrxOk5ipLMo7nI6tnvAdR6RU6fi57FWtdi7V4oPMWv6F7ygichB0WklERMKWtZYbR9zIwsyFAFSIr8BXV3xFjQo1SucFN22Cjz6Cm25ynzLuuWRkAO5z3aeegsMPh8suK50YIiIiIiISYkOGwJw5rhWeWj0clFmzYOvWv67bts0VaYiIlGebtqezZundrM+L47L23/uOIyJR6MRmtwHw2/J3PScRkYOhESciIhK2Xp3yKl/8vrsaeGDngbSq06r0XvC//4XsbLj11v1uMmwYzJ3r6jhiY0svioiIiIiIhEhenmt/d8wx0K2b7zQRr1GjfdelpEDr1mUeRUQkrHwx8QyaJhSQUL8/VZJTfccRkSjUsHpr0nKSCPCz7ygichDUQUNERMLSpBWT+Nf//rXrca82vbiy5ZWl94LWuvEmJ5wAxx1X6CY7u2e0aKHPdUVEREREIsbAgbBkCfTtqxmFB8laN/LRGKhQwd1WrAgnngjnn+87nUhoGWM6G2PezsrK8h1FIsDoXx6hWcJCltmTaH/Y/i/8ERE5WLkJx9AwYRObtqf7jiIiJaR3pSIiEnbWblvL5Z9fTkGwAIC29dry0nkvle6LTpgA8+dDr1773WT4cNcV+dFH1T1DRERERCQibN3qxpqcfjp07Og7TcT7/HMYOdLVunz6qStgHzIEvvlG75Ek+lhrR1pre1apUsV3FAlzqzfNI29tX1blJHFl+//5jiMiUe6QulcQFwM/LXzddxQRKSGNOBERkbASCAa4cuiVrNqyCoDqydX5/LLPSYxLLN0XHjAAqlWDyy8v9Glr3YePzZvDFVeUbhQREREREQmRV16BNWvcrEJjfKeJaJmZ8H//B8cfD/feC3Fx0KmT71QiIn4Fg0G+/vksGiVYmrT4mKT4ir4jiUiUO6nZTXyXfjer1w0H+viOIyIloAINEREJK0/+8CTjl4wHwGD48JIPaVy1cem+6OrV7gPbO+6A5ORCNxkxAmbPhvffdx9EioiIiIhImFu/Hp5/Hi66CNq1850m4t1zD2zYAN9+q/dEIiI7fTmtJ82SVrMi9h+c2+gS33FEpBxIiq/I6vxUqpiFBINBYjTCTyTi6LtWRETCxpg/xvB02tO7Hj962qOc37wMBhkPGgQFBXDLLYU+bS08+SQ0awZXXln6cUREREREJASee86NOHn2Wd9JIt4338B//wsPPADHHOM7jYhIePhjzUQqbBnM0pwqdD/5S99xRKQcSalyBrUSC5i3+hvfUUSkBFSgISIiYSF9SzrXDLtm1+OzDzmbx09/vPRfuKAA3n4bzjnHzS8pxKhRMGsWPPKIrhQTEREREYkIK1bA66/DtdfCUUf5ThPRtm6Fnj2hRQt49FHfaUREwkMgWMBPs9ycp1OOHUVcbILnRCJSnhzX1F1oOHvJQM9JRKQkVKAhIiLeBYIBrv7yajKzMwGoV6keH3f5mNiY2NJ/8VGjYOVKuPXWQp/e2T3jkEPg6qtLP46IiIiIiITAE0+4g/knnvCdJOI98oirdxk8GJKSfKcREQkPH/90CU2SsthW6Qaa1znVdxwRKWcOSz2NjNwEcrf+6DuKiJSArgMWEYlidevW9R2hSJ6b+BzfL/0eAIPh4y4fUyulVtm8+IABUL8+dO5c6NOjR8OMGe7DSHXPEBEREYlekXLsLEUwbx689x7ccQc0buw7TUSbNAn+8x+47TY45RTfaUREwsPs5cOokz+KP/NSueG0Qb7jiHij42e/tsUeSQMzm205G0hJqu47jogUg041iYhEsRYtWviOcECTVkzi8Qm7R5k8etqjnN7k9LJ58UWL4NtvXYuMQqovrIWnnoKmTeGaawr5ehERObDUVFiz5q/r6tSBjAw/eURE9iMSjp2liB59FFJS4OGHfSeJaLm5cNNN0KAB9OnjO42ISHjIyd/Kb79fSUqs4fyTxhEToyblUn7p+NmvhqldSVg/m58WDeDcox/xHUdEikFHDyIi4s2mnE10H9qdgA0AcGqjU3ns9MfKLsCbb7rCjJtuKvTpb76BqVPd57rx8WUXS0QkquxdnLG/dSIiIqEwZQp8+SXcdx/UKqOufFHq2WddM5K33oJKlXynEREJDx//eC71k3JIqP0Q9aoe5TuOiJRjpzTrRW4AVmQM9R1FRIpJBRoiIuKFtZYeI3uwPGs5AFWTqvJRl4+Iiymj5k7Z2fDuu3DxxVCv3l+eCgRg5Ejo0cN9pnvVVWUTSUSkNBljOhtj3s7KyvIdRURKU2oqGPPXJTXVdyqRsmEtPPigO4i/+27faSLanDnQty9cfTWcf77vNCIi4WHiH2/R2ExmUV5zLjjmWd9xRKScS0mqzqr8GlQI/OY7iogUkwo0RETEi4EzB/LF71/sejz4wsE0qtKo7AJ8/jls2AC33vqX1YEAnHceXH45rFwJmzdD585uvYhIJLPWjrTW9qxSpYrvKCJSmtS1Rsqz//0PJkxwI07U8qHECgrgxhuhWjV4+WXfaUREwkNWdgbpi29nQ14cXU/5znccEREAEiu2p25iHn+smeg7iogUgwo0RESi2IIFC3Yt4WT++vncNfauXY9vOf4WuhzRpWxD9O8PLVrAGWf8ZfWYMa4rck6Oe5yb6x6PGVO28URERESKpaDAjXSQEgvXY2cpomAQHnoImjSBm2/2nSaivfoqTJ8O//kP1KzpO42ISHj4/MczqJlQQJ0mL1MtpYHvOCJhQcfP/h3TtAcAMxYP8JxERIpDBRoiIlFs9erVu5ZwkR/I5+ovrya7IBuAo2sfzUvnvVS2IWbNclUXt97q2n7v9dS2bX/dfNs2mD277OKJiESVOnWKtk5ESm7tWjjnHHjxRd9JIlo4HjtLMXz+OcycCU89BYmJvtNErD//hN69XRfByy/3nUZEJDyMnfMEzRLmsyTYltNa3O47jkjY0PGzf0fW7cj6vFi2Zn3vO4qIFIMKNEREpEw9k/YMM1bPACAhNoGPu3xMcnxy2YYYMACSk+G66/Z56thjISHhr+tSUqB167KJJiISdTIywFo3YsEYeOwxt05EQmPqVDj+ePj5Z3j/fd9pRPzIz3djTY4+Gq680neaiGUt9OgB8fGu4eBetewiIuVSRtYCctY8zaqcJK5sP853HBGRv4iJiWGTOYx6cavJyd/qO46IFJEKNEREpMxMXTWVZ398dtfjZ854hpZ1WpZtiKws+Ogj98Ft1ar7PH3++VC9urtvDFSsCCee6NaLiMhBqF0b2reHL7/0nUQkegwa5L6v4uJg0iS49trCO9TExe3bIkwkGqSmuoP2hARYtAjmzoX69X2niliDB8P338O//w0N1L1fRIRgMMioyWeREhvk8MPfJzmhsu9IIiL7qFvrIirEwc9/DvYdRUSKSAUaIiJSJrbnb+eaYdcQsAEA2jdqzz3t7in7IP/9L2zf7sabFCI2FipUcEUZTz0FQ4bAN9+49SIicpC6dnUnzxYu9J1EJLLl5kLPnu5S9w4dYPp01wYMdnet2bmMGAHBoCtODQS8xhYJuTVrirZODig9He67D04/3f1oEREwxnQ2xrydlZXlO4p4Mmx6L5olrWJ13Hkc30Rzn0QkPJ3c/DYKgrA4/VPfUUSkiFSgISIiZeL+/93Pwkx3Qq5iQkXev/h9YmPKuOrBWjfepG1b1wq8EOnpbu7y5Ze7LsmdOqk4Q0QkZC65xN2qi4ZIya1YAaedBgMHwsMPw+jRUKPG/rfv3BlefdUVatzjoThWRMKetdCrl6v9GjgQYvRpoQgA1tqR1tqeVapU8R1FPFi8bjJJm99iWU4lrjxlhO84IiL7VS2lASvzqpCQN9t3FBEpIr3lEhGRUvftn9/yxrQ3dj1+teOrNK3WtOyD/PADzJvnPn3cjx9/dLennVZGmUREypOGDV2RnAo0REpmwgRXZDpvnvs+evbZolWS3n473H03vPaaK9YQEdnDF1/A8OHw5JPQvLnvNCIi/gWCBfww4wJiDJx0zFfExSb4jiQi8rdiKpxEg6RsVm6c4zuKiBSBCjRERKRUZeVk8c/h/9z1+MIWF3JD6xv8hBkwAKpVg27d9rtJWhpUrAitW5ddLBGRcqVLF5g2DZYv951EJHJYCy+9BGef7bplTJ26uyNNUb3wgvv+u/tuGDasdHKKSMTZsMHVcB13nJrsiIjs9Mmky2iatInNFa6hRd0zfccRETmgIxu5z9un/PG65yQiUhQq0BARkVJ137f3sWrLKgBqVajFwM4DMcaUfZDVq92VptdfD8nJ+90sLQ1OOQXi4soumohIudKli7vVCWKRotm2Dbp3h3vvhYsucsUZhx9e/P3ExMAHH8AJJ8BVV8GUKaHPKlKW8vMLn8VRp07ZZ4lg99wDmZkweLDeA4lI+RYIbGPO/P9j7PhYUvO/YnFOLS478T3fsUREiuS4RpexMT+GjRu/9R1FRIpABRoiIlJqxi0ex6BZg3Y97v+P/tROqe0nzODBUFAAt9yy300yM2HuXI03EREpVYcdBkcfrTEnIkWxaBGcdBJ8/jn07evmEFSqVPL9VagAI0ZA3brQuTMsXhy6rCJlbcgQCAbdv2lrdy8ZGb6TRYxvv4X334cHHlAHQREp3zZtSmPy5MasXT2ApNggMUCzlDw2b57oO5qISJHExMSQaZtSO2Y5BYE833FE5ABUoCEiIqVia95Weozssetx1yO6cumRl/oJU1AAb7/t2oIfdth+N5u44323CjREREpZly7w44+wZo3vJCLha9QoaNMG0tNh7Fh48EEIRRey2rVh9Gh3fHTBBW6+gUikCQSgTx9o1Qo6dfKdJiJt3Qo9e0KLFtC7t+80IiJ+pacPpKAgkzgTANwhVzCQRXr6QM/JRESKrkb186kcb5m29CPfUUTkAFSgISISxZo0abJrKWsPj3+YpZuWAlA9uTqvX+Bx/t3XX8OKFdCr199ulpYGiYnQtm0Z5RKRiGKMifWdIWp07equch4+3HcSkfATDMITT7gOF4ccAjNmwDnnhPY1WrSAr76CJUvgkksgNze0+49QPo+dpZi+/BIWLICHHw5N4VI59OijsGwZDBoESUm+04iIiEgk0vFzeGnX/HaCFhas+MB3FBE5AE2XFBGJYr4Ojicun8jrU3cXZLxy3iukVkz1kgWAAQOgfn13ouNvpKW5LuKJiWWUS0Qizb+NMYnW2tuNMfcC1wKZwK/ALzuWudZanek8kJYt4dBD3Qm2nj19pxEJH5s2wdVXu+LSa6+FN9+E5OTSea3TToP33oMrr4R//hM+/LDcn+jWB8sRwlp49lnXGe9STx36ItzkyfDaa3DbbXDqqb7TiIj4l1OQXaz1IuLo+Dm8pFZpwbe5KRim+Y4iIgegDhoiIhJSOQU53DjiRiwWgAuaX8DVra72F+jPP+Gbb6BHD4jbf13ili0wc6bGm4jI39oILNtx/zagK3Aj8B3QEHgUmGuMmesnXgQxxo05GT/enZAWEfj1VzfS5Jtv4I03XPFEaRVn7NS9uxsT8fHHmnEgkePrr+GXX+ChhyBWza2KKzcXbrwRGjSAvn19pxERCQ/Dlq3CWigIusc5AcjKh+GrAn6DiYgUUyDxeBokbmXtlj99RxGRv6ECDRERCam+P/ZlYeZCAColVOLNf7yJ8Xk15ptvug9ue/T4280mTXIdxVWgISJ/4wQgZ8f9X4A/rbVLrLXDrbVPWmsvsdY2B07xFzGCdO0KBQUwapTvJCL+ffKJa+O1fTtMmODGspXV8dODD8JNN7mOBIMHl81ripTUzu4ZjRvDVVf5ThOR+vSBefPc26RKlXynEREJD4l5M8gJwlfpsCUfPlsJ3X6GEcuX+o4mIlIshzW4ilgDkxd6HDcuIgekAg0REQmZhZkLee6n53Y97nd2PxpWaegvUE4OvPsuXHwx1Kv3t5umpbkGG+3alU00EYk81toLgQ93PFwLvGOMaVLIdlllmStitW3rxk8NHeo7iYg/BQVw772uk8Wxx8KMGXBKGdd4GQP9+8N558HNN8O335bt64sUx/ffw88/wwMPQHy87zQR59dfXYHGVVfBBRf4TiMiEh6mLxnCqTXyyYg5hdevtnQ+x/LOdZac3pZZN8/yHU9EpFhOOORathQY1mV+7TuKiPyN/fd634MxppG1dnlphxERkdD69ddfd91v2bJlqb6WtZZeX/ciL5AHwIn1T+TmNjeX6mse0OefQ2Ym3HrrATf94QfXVTwlpQxyiUjEstZu3HH3T6AlMNwYUwOYB8yx1t7rLVykiYmBSy6BQYNg2zb9AJbyZ+1a6NbNdcy4/XZ48UVISPCTJT4ePvsM2reHSy+FiROhVSs/WTwqy2NnKaFnnoG6deGGG3wniTiBgBttUrUqvPKK7zQiIuHjlwV3UjvO0Pmkj3xHEYk4On4OP/GxSawJNKCG+ZNgMEhMjK7TFwlHRf3OHGuMWW+M+dEY098Yc4sx5hRjTOVSTSciIgclMzNz11Lahswdwvgl4wGIMTG82elNYoznA8D+/aFFCzjzzL/dLDsbpk7VeBMRKTpr7b+ttddYa48BmgB3AdO8hopEXbq4bkdjx/pOIlK2pkyB445znQD++1/4z3/8FWfsVLkyfP21m3nwj3/AqlV+83hQlsfOUgKTJ7sOGvfdB0lJvtNEnFdfhWnT3I+bmjV9pxERCQ9pC17n0KR1bEzoSM2KjX3HEYk4On4OT1Wqnk21hCCzV3zpO4qI7EeRzpxZa48E6gF3AD8DzYDewHxjzJLSiyciIpFgY/ZG7v7m7l2P7zjhDlqntvYXCGDWLHfS45ZbDjjDfcoUyM9XgYaIlIy1tsBa+5u19hPfWSJO+/buLJHGnEh5MnCgO+iIj4dJk+Caa3wn2q1BA1eksWkTdOoEW7b4TiSy27PPQo0abhSPFMuff8Kjj7pv627dfKcREQkPwWCQxUseYWNeDJec8F/fcUREQubEZrcDMHfZO56TiMj+FPnSZmttnrV2FjAMmAJkANnAL6WUTUREIsQj3z3C2m1rAahfqT5PnfGU50TAgAGQnAzXXXfATdPSXA1HWY98F5HIY4xpZ8wBqr6k6OLi4KKLYNQoyM31nUakdOXkQI8e0LMndOgA06fDscf6TrWv1q3dmLhff4XLL4eCAt+JRFzx9ddfw113aSRWMVnrfuzExbm3SDqKERFxvv3taZokbSan4uVUSlJrIRGJHo1qHMeqnCQC2yf7jiIi+1GkAg1jTAtjzD3GmO+ASUA74CPgCGvtxaWYT0REwty0VdN4c/qbux6/0vEVKiVW8pgIyMqCjz6C7t2hWrUDbp6WBscc4+Yxi4gcwHXADGPMJ8aY640xqb4DRbwuXdxV+uPH+04iUnpWrHBdMwYNgocfhtGjXSeAcNWxoxsVN3Ys3HabO8Mr4lOfPm4Mz+23+04Scd55B777Dv79b9ckR0REIBAsIHPVc6zNjeOStgN9xxERCbnc+FY0SNjEpu3pvqOISCGK2kFjHnAVMABoY629x1r7P2ttXulFExGRcGet5Y6xd2BxH9qf3+x8uh7R1XMq4IMPYPt2uPXWA26al+e6i2u8iYgUhbX2FmvtccATQDXgPWPMZGNMH2PMacaYWL8JI9BZZ7mTbhpzItHq++/h+ONh/nz48ks3piE2An5U9OwJDz4Ib7/tzuyK+DJvnvsdcfvtqqgupvR0uPde916nZ0/faUREwsfIWfdSPymHuOo3kRRf0XccEZGQa1qvG/ExMOmPN3xHEZFCFLVA41ZgMnA7sMIYM88Y85kxprcx5uJSSyciImHt418/5ueVPwOQEJvAa+e/hvfO/9a6Kz7btoU2bQ64+cyZkJ2tAg0RKR5r7Xxr7cvW2o7AmcBE4DLcKEApjsRE6NQJhg/XKAWJLtbCiy/COee4bhlTp8Ill/hOVTzPPgtXXOEKNT791HcaKa/69nWjC++6y3eSiHP77W660sCBEFPkIcciItEtN387uesHkJ6TyIXHveo7johIqWjXrCfZAUhfO9x3FBEpRFxRNrLWvrXnY2NMA6AV0BLoCnwV8mQiIhLWtuZt5f5x9+96fPdJd9OsejOPiXZIS3NX2b3zTpE3B2jfvhQziUhUs9ZmA6N3LFISXbrAxx/Djz/CGWf4TiNycFJTYc2av67bsAEOP9xPnoMREwPvvgsrV8J110H9+nDqqb5TSXmyeLH7/XDHHVCrlu80EWXoUBg2DJ57Dg47zHcaEZHw8dX0W6iTmM/2ag8TF5vgO46ISKlIiq9Ien4qVcwCgsEgMarWFQkrJfqOtNautNaOttb2s9ZeE+pQIiIS/vpN7Ef6FjfDrk5KHR5p/4jnRDsMGOBaH3frVqTN09Lc+ZLatUs3lohEJ2NMSqSMNTHGdDbGvJ2VleU7yr46dnRXR3/5pe8kIgdv7+IMgLVryz5HqCQlwVdfQePGcNFFsHCh70RSnvTr50YC3Xef7yQRZcMGuO02OO44N+JEREomrI+fpUS2520ifstHLM+pSMeWT/uOIyJSqipU7kCtxALmZ/zPdxQR2UuRCjSMMe2M9571IiISLpZuWsoLk1/Y9bjvWX2plFjJY6IdMjLcpWI33AAVKhxw80AAJk7UeBMRKTpjTIwx5kpjzNfGmLXAfGC1MeY3Y8zzxpjmvjPuj7V2pLW2Z5UqVXxH2VdKiivS+PJLCAZ9pxEpueFR2j62Rg0YPdp11LjgAli3znciKQ9WrYL33nPH9vXq+U4TUe69F9avh8GDIa5IvXNFpDBhffwsJfLllOuonhCkYeMndTW5iES94w+5GYDZSwZ6TiIieyvqUch1wAxjzCfGmOuNMamlGUpERMLb/f+7n5yCHACOr3s817W+znOiHQYPhoICuOWWIm3+66+QlaUCDREplu+BQ4GHgFRrbUNrbW2gPfAz8Jwx5mqfASNWly6Qng5Tp/pOIlJ8gQA8/DBcfLHvJKXn0ENhxAh30vyiiyA723ciiXYvvOC+tx54wHeSiPK//7m6lvvvh9atfacREQkfG7etpHLOSBbnVOeMI+7xHUdEpNQdltqBjNx4srek+Y4iInspUh29tfYWAGPM4cD5wHvGmCq4D6jHAj9ZawOlllJERErksFIYNvzzyp/5/PfPdz1+teOrxJgwuOogEIC33oKzzirykOW0HcemKtAQkWI421qbv/dKa+0GYCgw1BgTX/axokCnThAf77ponHSS7zQiRbd+PVx5pTsretNNMGiQ70Slp107+PBDuOwyuOYa+Owz11UjSpTGsbOU0Nq17tj+qqugaVPfaSLG1q3Qs6d7O/TYY77TiIiEl+HTrqFJvKX2IS/5jiISNXT8HP62xh5JA/ML2/M2USGhqu84IrJDsT5JsdbOt9a+bK3tCJwJTAQuA6aURjgRETk49erV27WEgrWWB8btvoLt8qMu55RGp4Rk3wft669hxQro1avIX5KWBk2aQMOGpRdLRKJLYcUZJdlGClG1qiuyGzoUrPWdRqRopk+H44+HH36AgQPdUqfOvtsVti5Sde3qOhsMHRp1nQ1CfewsB+GVVyAnBx56yHeSiNK7Nyxd6urEkpJ8pxERCR8ZWQuoXTCBRTn1OOnQMOkCKxIFdPwc/hrW6UJSLEz6403fUURkDyW+1MVam22tHW2t/T9rbZtQhhIRkfA0ZtEY0pa5thNxMXE8e+aznhPtYcAAN5v6wguLtLm1rkBD3TNEJNSMMdF1xrIsdekCixfDnDm+k4gc2ODBcOqp7v7Eia57BkBGhjvQ2HPJyPCXszTcfTfcdpsr1Ojf33caiTYbN8Lrr8Oll8Lhh/tOEzF+/hlefdXVq7dv7zuNiEh4+XraVSTGwglHDfAdRUSkTJ3cvBd5QVi2+gvfUURkD9HTi1REREpV0AZ5aPzuK9h6HteTZtWbeUy0hz//hG++gR49IK5I07tYsADWrVOBhogcPGPMZ3ssnwM3+c4UsS66yI1L+PJL30lE9i8nxx1z3HSTOws6Ywa0bes7VdkyxnU46NQJ/u//YNQo34kkmrz+OmzZAg8/7DtJxMjNhRtvhPr1oW9f32lERMLL0vXTaBgzgyX5h9KqYdEu6hERiRaVkmqyMq8GFQrm+o4iInsocoGGMaaaMeZaY8wwY8xvxphRxpgexpgo6tUqIiL78/GvHzNnjbuiuUJ8BXqf3ttzoj289ZY7odejR5G/JM01AlGBhoiEwmZr7eU7lsuAcb4DRazatd0J76FDfScRKdyyZe7f6KBBbvTC2LFQs6bvVH7ExcEnn8Cxx0K3bq5QReRgbd26u/indWvfacJaIOBqo55+Gm64AX7/Hd58EypX9p1MRCS8jJt5LQY4/Zj3fEcREfEiIeVU6iblsnjdZN9RRGSHIl1mbIz5EqgGfA08YK1daIxpBFwEfGCMSbDWdii9mCIiUhLTp0/fdb9Nm5JPo8otyOXR7x7d9fiek+4htWLqQWULmZwceOcdd9V1/fpF/rK0NKhbF5qFSRMQEYloe897esRLimjRpQvceadrddSihe80Irv973/QvTvk58OwYXDxxb4T+ZeSAiNHwkknuRPqU6ZAo0a+U5VYqI6d5SC89RZs2ACP6Ffp3wkE4Lzz3Lfctm1uklKdOtCxo+9kIiLhZV76/2gaP58lBS05p86pvuOIRB0dP0eGY5reROai4UxbNIBDarXzHUdEKHoHjX9aa8+w1r5grV0IYK1dbq39j7X2XODiUksoIiIltnXr1l3LwXhrxlssy1oGQI3kGvzrlH+FIl5ofP45ZGa6YctFZC388IPrnmFMKWYTkXLBWrtkr8cbfGWJCpdc4m6HDfObQ2Qna93MgI4dITUVpk1Tccae6taF0aMhOxsuuAA2bfKdqMRCdewsJZSTAy+8AGee6Yp+ZL/GjHHFGVu3uh9R4O6PGeM3l4hIuPnp15vID8L5bT72HUUkKun4OTIcVe8CMvNi2ZI13ncUEdmhSAUa1tpNAMaYGsaYW40xNxhjTjDGJO/5vIiIRJ/s/Gz6Ttw9yPjR0x6lcmIY9c0dMAAOO8x9kFtES5fCypUabyIiB8cY09AY09EYc58x5n1jzPQDf5UcUMOGcMIJ8OWXvpOIQFaW6+ry8MNw2WXw88/uuEP+6qij3Pfsb79BtWquAnbnkhomXdck/L3zDmRkwKOPHnjbcm7WLNc5Y0/bt8Ps2V7iiIiEpelLP6VZ4nLSzcnUr3a07zgiIt7ExMSwkebUjUsnN3+77zgiQtE7aOw0DKgF9AGeB7KMMfNDnkpERMLGwJkDydiaAUC9SvW4pc0tnhPtYfZsmDwZbrmlWK0w0tLcrQo0RKS4jDE3G2MmGWM2AQuBm4CKwAjgSp/ZokqXLq5LwfLlvpNIefbbb65YaORIePllGDIEKlb0nSp87a9Yds2ass0hkSk/H/r1g3btoEMH32nC3rHHQoUKf12XkgKtW3uJIyISln6ZfwdbCwyd237oO4qIiHd1anUmJQ6mLH7HdxQRofgFGpWstU8Ba6y1pwPdgXeL+sXGmHeMMWuNMXP387wxxrxmjFlkjJljjDmumPlERCSEcgpy6PdTv12PHzjlAZLikjwm2suAAZCcDNdfX6wvS0uD6tXhyCNLJ5aIRLWHgLuB44FRQBLwjrV26M5RgBICXbq4W405EV8+/dQVZ2RlwXffwV13aS6aSGn68ENXlPfII/peK4Lzz4f69d19Y1zt2IknuvUiIgI/LhzAoUlr2ZBwLrUqNfUdR0TEu1Oa307AwqJVQ3xHERGKX6CRs+M21xiTbK0dClxQjK9/D+j4N8+fDzTfsfQEBhQzn4iIhNCgmYNI35IOQGrFVHoc18Nzoj1s3gwffQRXXOFaaRdDWhq0bw8xxf0tKCICnay1U6y1f1prLwNeB0YaY+42xuinSqg0bw4tW2rMiZS9/Hy45x53fNG6NcycqZZbIqUtEIC+fd333AXF+Yip/MrLc2+HjjwSnnzSNfj55huIjfWdTETEv2AwyJ+LH2RjfgwXt/2v7zgiImGhesVGrMitTHzeLN9RRITiF2i8YIypDnwKvGOM+T+gflG/2FqbBmz4m00uAv5rnZ+BqsaYusXMKCIiIZBbkMtzE5/b9fiBUx4gOT7ZY6K9fPCBG7x8663F+rL0dFi0SOdaRKRkrLVz93o8FjgBqA785CVUtOrSBX78UeMRpOxkZMBZZ7lxJv/3f/D991Cvnu9UItHviy/gjz/UPaMYBgxwP7L694fevaFTJxVniIjsNO73PjRJ2kxOha5UTq7tO46ISNgwySfSMCmbVRsLHXIgImWoWAUaO1o3b7DWvgSMBhriiipCpT6wYo/HKylGAYiIiITOO7PeYdWWVQDUSanDzcff7DnRHqx1n0a2aQNt2xbrS3/80d2qQENESsKYfc8cWWtzrbW9gev2t42UQJcu7uf98OG+k0h5MGkSHHccTJ/uikBfew0SEnynijx16hRtnchOwSA8+ywcfvju8Vbyt7Zuheeec/Vkp5/uO42ISHgJBAtYu7IP63LjuOSEd3zHEREJK0c2ug6An/943XMSESlSgYYx5sS911lrP7DW3m+t/S2EeQr7MNvuJ1NPY8x0Y8z0devWhTCCiIgEggFemPzCrsf3n3J/eHXP+PFH+P33YnfPADfepGJF10FZRKQEvjfG/J8xptGeK40xCUADY8z77CjUkIPUsiUceqjGnEjpshZef92d5axQAX7+Ga6+2neqyJWR4f5O9yyuevxxv5kkvI0aBb/+Cg8/rPmDRfSf/8C6dfD0076TiIiEn1Gz/kWDpGxiqt1IUnxF33FERMLKcY27sSnfsHHjWN9RRMq9A777NcYcBdxojDlyj6VWKeVZievKsVMDIL2wDa21b1tr21hr29SqVVpxRETKp2Hzh7F442IAqiVVC6/uGeB6+lat6ubDF1NaGpxyCsTFhT6WiJQLHYEAMMQYk26M+d0Ysxj4A+gOvGytfc9nwKhhDHTtCuPHw8aNvtNINNq+Ha691o0z6djRdc9o1cp3qujRubNrWfb447B5s+80Eo6shWeegaZNoXt332kiQlYWPP88XHABtGvnO42ISHjJD+SQvf4N0nMSuej413zHEREJO7ExcWQGG9MwbhljxscxZ/6dBALbfccSKZeKcnnCpcARO24v27G0LKU8I4BrjXMSkGWtXV1KryUiIoWw1vL8pOd3Pe7VthcpCSkeE+1lzRoYOhSuv95d6VoMmZkwd67Gm4hIyVlrc6y1/a21pwCNgbOA46y1ja21Pay1s/0mjDJdukBBgbvCWiSUFi1yZzc/+gieesp1e6ha1Xeq6GIMvPCCu9T/3//2nUbC0bhxMG0aPPCAqqeL6JVXXM3iU0/5TiIiEn6GTbuF1MR8qqTeTVysRtWJiOxt06Y0miZmkBgLybEB1q7uz+TJjdi0Kc13NJFy54DvgK21Txpj0q21Aw/2xYwxQ4AOQE1jzErgcSB+x+u8CYwGLgAWAduBGw72NUVEyrOjjz662F/z04qfmLpqKgAJsQncfsLtoY51cAYPhvx8uOWWYn/pxInuVgUaIlJSxpgYoAmwzFqbD6zesf54oK61VpUEodS2LdSv78acXHON7zQSLUaNcmNMYmJg9GjXPUNKR9u2rjPCiy+6Y7cGDXwn+lslOXaWg/Dss1Cvniu8lgPasAFeegkuuQSOP953GhGR8LI9bxOxmz9keTCFq1s96zuOSLmh4+fIkp4+kBhydj2OMwUUFGSSnj6QqlX1gblIWSrSJQqhKM7YsZ+/7VlprbXAbaF4LRERgZo1axb7a/bsnnFtq2tJrZgaykgHJxCAt96CM8+EFi2K/eVpaZCY6M4ViIiU0LvAxcASY0xvXHe5U3HdND4GVKARSjExrovGwIGwbRukhFFHJ4k8gQA8+SQ8/TQce6zryNW0qe9U0a9PH/d33bs3vPuu7zR/qyTHzlJCEyfCDz/Ayy+7A3Q5oBdegC1b3I8xERH5q2FTb6B+QoCqtR8nJqYoTcNFJBR0/CwiUjLFOloxxtQwxtxqjLnBGHOCMSa5tIKJiEjZW7B+ASMWjNj1+J5293hMU4jRo2H5cujVq0RfnpYGJ52kz4BF5KDkAM2tta2BKrjucP8EGlhr1eKhNHTpAjk5MGaM7yQSyTZsgE6dXHHG9dfDTz+pOKOsNGkCd9wB778Pv/ziO42Ei2efhVq1oEcP30kiwtq18Oqr0K0btCytocMiIhFq0/Z0KmUPZ0lONc468l++44iIhK2cguxirReR0lPcctJhQC2gD/A8kGWMmR/yVCIi4sWrU17ddb/TYZ04otYRHtMUYsAAqFsXLryw2F+6ZQvMnKnxJiJy0F4HLgSw1n4IDAImWmtXe00VzU49FWrWdGNOREpi1iw3D2D8eHjzTXjnHUjWtQZl6uGHoVo1+JdOmggwYwaMHQt3363OSEXUr5+rVXziCd9JRETCz1dTr6ZyvOXw5i/6jiIiEta+WlVAVj7kBdzj3ABk5cPwVQG/wUTKoeIWaFSy1j4FrLHWng50x7V5FhGRCLc5dzMfzPlg1+N7293rMU0hFi92H+T27Anx8cX+8kmTIBhUgYaIHLQ84CljzBZjTB7wGLDdGJNujFEHjdIQFwcXXwyjRkFuru80EilSU8EYtxx3HCxdCpUqwc03u3VStqpVcyNO/vc/+OYb32nEt2efhSpVStwVr7xJT4f+/eGaa0o05VFEJKqtyfqD2gXfsyinLu0OvcF3HBGRsDZy+TK6/QzDd1xi9Ntm6PYzjFi+1GsukfIorpjb5+y4zTXGJFtrhxpjfgD6hTiXiIiEwKRJk3bdP/nkk/922w/nfMjWvK0AHFnrSE5vfHqpZiu2t96CmJgSt0FOS3Pn+Nq1C3EuESlv+gD3Ap9bawuMMUnW2hxjTDPgQ+CDv/9yKZEuXWDQIBg3Dv7xD99pJBKsWbPvug0byj6H7NarF7z+Otx3H5x9NsTG+k60j+IcO0sJ/fYbDBvmCnaqVPGdJiL06QMFBfDYY76TiIiEn1HTr6RpLLQ9bIDvKCLlko6fI8usm2ftuj9kbBJVkiuT03utx0Qi5VdxO2i8YIypDnwKvGOM+T+gfuhjiYhIKOTl5e1a/o61lgHTd7+ZvbXNrZhwuro0J8e1I7/wQqhfsl87aWnQpo26KIvIQfsdSN9RnLGzoxy4Quaf/cWKcmeeCZUra8yJHJi18NlnvlNIYRISoG9fmDsX3n/fd5pCFfXYWQ5C377ugPzOO30niQjLlsHbb8MNN8Ahh/hOIyISXpatn04DprM4/xCOaXSR7zgi5ZKOnyPXtthDqRu3jvxAzoE3FpGQK1KBhjEmBsBaO9Rau8Fa+xIwGmgIXLjzeRERiUw/rfiJuWvnApASn8I1rcKsS/8XX8D69SVug5ydDVOnaryJiITEY0DqjkLlFGvtznF/rYD7/cWKcomJ0KkTDB/uLiMWKcy8eXDOOdCtm+8ksj+XXgonnQSPPgrbtvlOI2Vt0SIYMgRuuQVq1PCdJiI884ybyvToo76TiIiEn//NupYYA6e10gR2EZHiqln9LCrEwaxlX/iOIlIuFbWw4n/GmE+NMd2NMZV3rBsKTAEeAmaUSjoRESkT/af133X/qpZXUSUpzNoNDxgAzZu7K6hLYMoUyMtTgYaIHDzrfGqt/Y+1drQxpvOO9aOttbpkpDR17QqZma4lksietmyB+++HVq1gxgx44w3fiWR/jIEXX4TVq+Gll3ynkbLWrx/Ex8O99/pOEhEWLYJ334WePaFRI99pRMonY0xnY8zbWVlZvqPIXuavHk+T2HksC7TksFR92CMiUlzHNbkegIWrPvcbRKScKlKBhrX2LOBJoAnwtTHmZ2A80BJ42Vp7bKklFBGRUrUhewND5w3d9fjWtrd6TFOIX36BSZPclXYxJWvYlJbmzgecckqIs4mIwLO+A5Qb550HyckacyK7WQuffgqHHw7PPw/XXgsLF7qOW3Xq7Lt9Yeuk7J18siu46tcPMjJ8p5GysmKFG21z441Qt67vNBHhqadcPcvDD/tOIlJ+WWtHWmt7VqkSZhexCBPn3EiBhY5tPvQdRUQkIjWqcRxrcuPJ3TbVdxSRcqnIZ7qstb9ba/taa9sDHay17ay1T1hrZ5ZiPhERKWWfzP2EvIC76PuE+ifQOrW130B7GzAAkpLg+utLvIu0NDjmGKhaNWSpRER2Mr4DlBspKdCxIwwbBsGg7zTi2++/w9lnwxVXuMKLSZNg8GCoVcs9n5HhCjj2XFQMED769oXcXHjiCd9JpKw8/7z7Prxf08CKYv58+OgjuO021bOIiOxt5rIvOCRhGenmJBpUa+U7johIxNpimlA7bg2BoEbJipS1El2KbK3NCXUQERHx47+//HfX/euOuc5jkkJs3gwffuhOvlSvXqJd5OW5czYabyIipcT6DlCudO0K6ekwVVd4lFtbtsC//uUqL2fOhP79Ydo0aNfOdzIpjubNXaeTgQNdsY1EtzVr3P/ra66Bxo19p4kITzzhmkY98IDvJCIi4WfWvNvIDkDnth/7jiIiEtGqVe1ApTjLnBXDfUcRKXdK1iteRESiwoL1C5iyagoA8THxdDuqm+dEe/nwQ9i2DW4t+diVmTMhO1sFGiIiUeEf/3D93ocOPfC2El2shU8+ceNMXngBrrvOjTO59VaIjfWdTkqid2+oWFFnoMuDl15yVdMPPug7SUSYM8dNb7rzzt1NgURExJn4x1scmrSW9fHnUKtSU99xREQiWqvG1wIwb+UnnpOIlD8q0BARKcf27J7RuUVnalSo4THNHlJTwRjX0xfgxBPduhJIS3O37duHKJuISIQyxnQ2xrydlZXlO0rJVa0KZ50FX37pTthL+fD77+7/e/fu7nhg8mQYNEhnLiNdzZrwyCMwahR8/73vNFJaNmxwnW4uuwwOO8x3mojw+ONQpQrcd5/vJCIi4SUYDLLozwfYlB/DJSd86DuOiEjEa17nVNbnxbJ9y8++o4iUOyrQEBEpp4I2yAdzPtj1+NpW13pMs5c1a4q2rgjS0tzFtrVrH2QmEZHCleyHkwfW2pHW2p5VqlTxHeXgdO0Kixe7S4wlum3Z4s5QHnMMzJ4NAwa48TYnneQ7mYTKHXdAo0bu/3Mw6DuNlIb//Ae2boWHH/adJCJMnw5ffQX33APVqvlOIyISXsb93pcmSVlsr9CFysn6kEdEJBQ22UbUjE0nqPdjImVKBRoiIuXUhKUTWLF5BQA1K9Tk/Obne04UeoEATJyo8SYiUnqstef4zlDuXHghxMRozEk0sxaGDHEVli++CNdf78aZ3HKLxplEm6Qk6NPHzaT7WHPko86WLfDqq+7ndqtWvtNEhMceg+rV4a67fCcREQkvwWCQNSufZX1eLJe0Hew7johI1KhcpT1V44PMW/2N7ygi5Uqc7wAiIlJ6jj/++P0+99lvn+26f8VRV5AQm1AWkcrUr79CVpYKNEREokrt2m5u1ZdfwlNP+U4jofbbb3D77TBhAhx/vPv/fOKJvlNJaereHV56yY076doVkpO9Rfm7Y2cpgQEDYONG9/9WDmjSJBgzBp57DipX9p1GRCS8jJr9LxomZbO+wk0kJ+iHpEi40PFz5Du60ZWsXfhf5i4fwlH1o+8CTpFwpQ4aIiJRrFKlSruWPQWCAYbNH7br8eVHXV7W0cpEWpq7VYGGiEiU6dLFnchfsMB3EgmVneNMWreGX36BN9+EKVNUnFEexMTACy/A8uXw2mteo+zv2FlKIDvbdcA55xw44QTfaSJC796uBvH2230nEREJL/mBHLave53VOQlcfPwbvuOIyB50/Bz5Dk89h035MWzZ/KPvKCLligo0RETKoYnLJ7J221oAUiumcnLDkz0n2ktKyr7r6tQp9m7S0qBJE2jY8OAjiYhIGLnkEnf75Zd+c8jB2znOpEUL10XhhhvcOJObb9Y4k/LkjDOgUyc37mT9et9pJBQGDYK1a9U9o4i+/x6++w4eeqjwt0IiIuXZV9N7kZqYR8U6dxIXhd1fRUR8iomJYX2wPtXMCoLBoO84IuWGCjRERMqhL37/Ytf9Lod3ITYmzE6ANGoEZ57pTtrsXDIyirULa12BhrpniIhEoYYN3RXZKtCIbHPnuhPzV14J9evDzz/D229DzZq+k4kP/frB1q0aXRQN8vLg3/+GU0/VwXgRWOu6Z9SrB7fc4juNiEh4yc7bjMn6L8tzUvjHMc/5jiMiEpVSKp5EjYQAi9ZO9B1FpNxQgYaISDkTtEGGzhu663HXI7t6TFOIP/6AefPgoosOajcLFsC6dfpMWEQkanXpAtOnu7EIElk2b4Z77nHjTH79Fd56yxVnaAxC+XbkkdCjBwwY4I4HJXJ98AGsXOm6ZxjjO03Y+/Zb+OknePRRSErynUZEJLx8OfV6aiYEqN/oMWJidCpDRKQ0HNGwOwBzln/gOYlI+aGjGhGRKDZhwoRdy07TVk1j9dbVANSsUJPTGodZBcOIEe72wgsPajdpae5WBRoiIlGqSxd3O2yY3xxSdNbCRx+5cSavvAI33ujGmfTsqXEm4jzxBCQmujkPHhR27CzFVFAAffvC8cfDeef5ThP2rHWFGY0bux+JIiKyW1Z2BhWzv2JJTlXOOPw+33FEpBA6fo4OLRt0ZkuBYdOmH3xHESk3VKAhIlLOjFk0Ztf9Tod1Ii4mzmOaQgwfDq1aQZMmB7WbtDSoWxeaNQtNLBERCTPNm0PLljB06IG3Ff/mzoUOHeDqq6FBA5gyxXXOqFHDdzIJJ6mp8MAD7vv6p598p5GS+Owz+PNPdc8oopEjXTOo3r0hIcF3GhGR8PLV1KupEm9p0ex5dc8QESlFsTFxrClIpbJd4juKSLmhIxsRkXJmzwKN85ud7zFJIdavdx/GH+R4E2vhhx9c9wx9LiwiEsW6dIGJE2HNGt9JZG+pqe6X8M6lZUv48cfd40zatvWdUMLVPfe4Ktv77nMHdRI5gkHo0weOOuqgj+fLg2DQFWY0awbXXus7jYhIeFmT9Qc188fzZ04qJze7yXccEZGol5RyArUTC1i2frrvKCLlggo0RETKkfXb1zNt1TQAYkwMZx9ytudEe/n6a/dJ5UGON1m61I291ngTEZEo17WrO4E7fLjvJLK3wopmrNU4EzmwlBR45hlXyPPFF77TSHEMHw6//eZG1OhK5wMaOhTmzIHHH4f4eN9pRETCy9fTryY5Fo4/sr/vKCIi5UKLBpcBMHPp+56TiJQPescsIlKOfPvnt1jclYgnNTiJ6snVPSfay/DhUL++m1l9ENLS3K0KNEREotzRR7tLjzXmJHwsWeI6H4gcjOuuc11XHnwQ8vJ8p5GisBaefRYOPRS6dfOdJuwFAq4w44gjoHt332lERMJDILCNOfP/j7Hj42hkprIkrzGtG13iO5aISLlwbKPL2FYAmRvH+44iUi6oQENEpBwJ6/Em2dnwzTeue8ZBziVJS4Pq1eHII0OUTUREwpMxbszJd9/Bxo2+05Rf1sL48W6kwaGHwquv+k4kkS42Fp5/HhYvhv66cjbspaa6jhkzZsCff7p2EKmpvlOFtSFDYN48ePJJNRUSEQHYtCmNyZMbs3b1myTFBog10KzCRjZtSvMdTUSkXIiLTSCjoBYpgT99RxEpF1SgISJSTlhr+WbRN7sed2zW0WOaQnz3HWzfftDjTcAVaLRvr87KIiLlQpcuUFAAo0b5TlL+bNsGb73lOh2cfTZMngyPPOJmjYkcrPPOg3POgaefVgFWuCtspFFh6wSA/HxXmHHMMW5Sl4iIQHr6QAoKMokzBYCrw7aBzaSnD/ScTESk/IivcDx1k/JI3/Sb7ygiUU+nrkREyol56+exbvs6AGok1+C4usd5TrSX4cOhUiU444yD2k16OixapPEmIiLlRtu20KCBxpyUpZ1jTBo0gFtugYQEeO89WL7cnUyvXx/q1Nn36wpbJ/J3nn/eFWf06eM7iUjI/Pe/7v3KU0+poFxEREREwkezeq56eMbi9/wGESkH9FZQRKScSFu2uy3kaY1PI8aE0a+AYBBGjoSOHSEx8aB29eOP7lYFGiIi5URMDFxyiRuTtXWr7zTRy1rX7erii90Yk1degXPPhYkT3ViD666DpKTd22dkuK/Zc8nI8JVeItUxx7h/W6+9ps4s4So723eCiJKX5+rY2raFzp19pxERCR85BYX/PtnfehERCb3jG19JTgDWbPjWdxSRqBdGZ+dERKQ07V2gEVamTXMnbUI03qRiRWjd+uBjiYhIhOjSBXJyYOxY30miz7Zt8PbbbozJWWfBTz/BQw+5k+WffgqnnOJ6UIuUlqefhthYePhh30mkMK+84jtBRBk8GJYtc/+s9aNTRGS3r1YVsCV/9+OcAGTlw/BVAX+hRETKmcT4CqTnVye5YKHvKCJRTwUaIiLlgLU2vAs0hg93H7xfcMFB7yotzZ0riosLQS4REYkM7dtDrVrw5Ze+k0SPpUvh/vuhYUO4+WaIj4d334UVK+DZZ914E5Gy0KAB3HMPDBniinolfGRkuPEzhXXA00ijfWRnwzPPuPcq557rO42ISHgZuXwZQ1a4+9sK4LOV0O1nGLF8qddcIiLlTUxSa+om5rBuyxLfUUSimk5fiYhEsXbt2gGwdNNSVqWtAqBSQiWOqXOMz1j7GjHCnVyrXv2gdpOZCXPnQvfuIcolIiKRITYWLrrIdXTIzT3ocVnllrUwYYIbJzFihLu8u0sXuOMOdcoQvx54AAYOhPvuc/9GS+nf4s5jZymi3r1d96Lff4fmzX2nCXtvvQXp6fDRR/pxKiKyt1k3z+L9sZVZmVPA1R238w/gHd+hROSAdPwcfZqmXozN+I5pi9/hgmOe9h1HJGqpg4aISBRLTEwkMTGR2etm71p3UoOTiI2J9Rdqb3/+Cb/95k6sHaSJE93taWHWIERERMpAly6wZQuMG+c7SeTZvt2d/G7VCs48E3780Z0QX7IEPvsMTj1VZxPFr0qV4IknXKu0kSNL7WV2HjsnqsjrwH75xc3ruP12FWcUwbZt0Lev+xHboYPvNCIi4WfFhtk0TtpCQZJO9opEEh0/R5+2h1xDXhBWrx/jO4pIVFOBhohIOTA9ffqu+23rtfWYpBDDh7vbCy886F2lpbmLptuG2R9RRETKwFlnQeXKGnNSHMuWuUKMBg2gZ0/XieSdd9wYkz593HgTkXBx001w+OFu9E5+/oG3l9JjLdx7L1SrBo895jtNRHj9dVi7Fp7WRYgiIoWaOL8fAMcecofnJCIi5VuFhKqk51UhPn++7ygiUU0FGiIi5cCM1TN23T++3vEekxRixAg4+mg45JCD3lVaGpx0kjrbi4iUSwkJ0LmzK/wrKPCdJnztHGPSpYv73fvii664JS0NZs2CG26A5GTfKUX2FR8P/frBggUwaJDvNOXbqFEwfrzralKtmu80YW/zZvj3v+H88+Hkk32nEREJTzmbvyEjN4GWDTr7jiIiUu7ZxJbUT9zGpu3pvqOIRC0VaIiIRLHc3Fyyc7KZkz5n17o29dp4TLSXzEzXRj0E4022bIGZMzXeRESkXOvSxf1uSUvznST8bN/uTmofcwyccYb7O7r/fli8GD7/HNq31xgTCX+dO8Ppp8Pjj7uz3iGWm5u7a5H9yMuD++6DFi3gllt8p4kIr7wCGzaoe4aIyP6syfqDRokb2R5/PDExOl0hEkl0/BydGtXpTKyBqYvf9R1FJGrF+Q4gIiKlZ/LkyWRuz6RlXksmMIGaFWrSsHIYtSsfPRqCwZAUaEya5HalAg0RkXKsY0fX/eHLL+HMM32n8S81Fdas+eu6uDgYPBi6d1enDIk8xsALL7h5dv/+NzzzTEh3P3ny5F33O3ToENJ9R40334SFC2HkSNfVRP7Whg2uUdHFF8PxYdbIUEQkXPw4vx81DRzVWIV/IpFGx8/RqW3T65ma8QAr134NPOI7jkhUUkmqiEiUW7119a77beq1wYTT1bHDh0PduiH5tDItzZ1zatcuBLlERCQyVajgesh/+aWr2iuPCgpg4kR45JF9izN2Pv/Pf6o4QyJXmzZw5ZXurPfKlb7TlC8bNrixJmefDf/4h+80EeHFF12zlyef9J1ERCR8ZW0cxfq8WNo2udp3FBERASon1yY9ryKxeXN9RxGJWirQEBGJcuu3rd91v1XtVh6T7CUnB8aOhQsvhBC0sExLc5/Xp6SEIJuIiESuLl1g9WqYMsV3krKTng7vvAOXXQY1a7pxJf36+U4lUnqefdYVYfXu7TtJ+fLUU5CV5aoOwqnoO0ytWwevvgrdukGrMHobJiISTjZtT6dhwhqyYlppvImISBgpiD+Seglb2JKz/sAbi0ix6ahHRCTKZWZn7rrfomYLj0n28v33sG1bSMabZGfD1KkabyIiIriruuPjXReNaJWf7yoTH3oIWreG+vXhxhvdvK+uXeHzz2G9PkSRKNakCdx5J7z/Pvzyi+805cPChfDGG+5njaoNiqRfP/c+5YknfCcREQlfE+b1IyEGmjf8p+8oIiKyh3q1LyA+BqYv+a/vKCIHJRDYxpz5/8eY8XHMmX8ngcB235EAFWiIiES9PQs0DqtxmMckexk+3LW7OOOMg97VlCmQl6cCDRERAapWde33v/wSrPWdJnRWrYLBg+HSS12XjNNPhxdecH/e555zJ6lXrty9TdWqvhOLlK6HH4Zq1eBf//KdpHz4178gKQmeftp3koiwerWrZ7n6ajj8cN9pRETC1/r1w9iUbzi5WU/fUUREZA8nNL2BgIVla0b4jiJSYps2pTF5cmPWrn6T5NgAa1f3Z/LkRmzalOY7GnG+A4iISOmx1pK5PQwLNIJBGDECOnZ0H/QepLQ012X5lFNCkE1ERCJfly7Qo4crWmjd2neaksnPh59+gjFj3PLrr259/fpw+eVw/vlw1llQpcr+91GnDqxZs+86kWhQtSo89hjcdRd88w2cd57vRNHru+/csXufPvoZUkR9+rgf44895juJiEj42pazgfpxK1gVPIK42ATfcUREZA/VKzYiPTcZizoWSuRKTx9IQUEmcTsmdMaZAgoKMklPH0jVqn6v9lUHDRGRKLYtfxt5wTwAqiRWoVaFWp4T7TBjhrus7MILQ7K7tDQ45hhdLCwiIjtcdBHExETemJOVK2HgQFdgUqOG6zL10kuuY0a/fjBnDqxYsXubvyvOAMjIcF1E9lwyMsrmzyJSFm69FQ49FO67DwIB32miUyAA99wDjRvD3Xf7ThMRli+Ht9+Gf/7T/fMUEZHC/bDgRZJjoXG9a3xHERGRQuTFHU69+E1k5232HUUk6qhAQ0Qkiu3dPcMY4zHNHoYPh9hY+Mc/DnpXeXkwaZLGm4iIyB5q1XK/GMK9QCMvD77/Hu6/H1q2hIYNoWdPmD4duneHYcNgwwZ39frObcLld7lIOEhIgL59Ye5ceP9932mi03vvuW5E/fqFpPNdefDss+720Uf95hARCXfpaz5la4Gh/WH/5zuKiIgUIrXmeSTGwvSlH/mOIlIi2/K2FLo+pyC7jJPsSwUaIiJRLDM7DMebgCvQOPVUd3XwQZo5E7KzVaAhIiJ76dIFfvsNFizwneSvli+Ht96Ciy92vwfPPBNeeQVq14bnn3cnmpct271NpUqeA4uEuUsvhZNOcmfDt23znSa6bNkCjzwC7dq50UpyQIsXwzvvuFq7Ro18pxERCV+5+dupE7OYjGBTkuIr+o4jIiKFOL7p9QAsXj3MbxCREhq7dDYAeTsabuYEICsfhq/y34FTBRoiIlFs7w4aYWHxYnfyKYTjTQDatw/J7kREJFpccom79dlFIzXVdbzYc2ncGG65BWbPhquvhq++gsxMGD/ejWk46ih1yRApDmPgxRfd+LyXXvKdJrr06wdr1sDLL+vnUhE99RTExcHDD/tOIiIS3n5c+BqV4ix1a3fzHUVERPYjtUoL0nMSCWTP9B1FpNgCwQIaJSxn8Vb4bCVsyXe33X6GEcuX+o5HnO8AIiJSejbn7p4P16RqE39B9jRihLu96KKQ7C4tDQ4/3F14LCIiskuDBnDiia5A46GHSv/1Nm6EefPg9993365ZU/i2v//ufnnphKdIaJx8MnTt6goKevRwxVFycJYvd4UvV17pfpbKAc2fDx98AHfdBXXr+k4jIhLelqZ/QP0Y6HD4fb6jiIjI39ge25x6MXPJD+QQH6uRhxI5xvzyCI0rWDZWvJ1Bnf4DQGfgHb+xdlGBhohIFPst5TcmrJsAwMMVw+QyrhEj3NXBhx560LsKBGDiROimCy5ERKQwXbrAAw+4kSGNGx/8/qyFtWtdgcWehRjz5kFGxu7tkpJcAcb+HHHEwWcRkb/q2xeGDt33zHidOn/9/vwbHTp0CH2uSPXgg+62b1+/OSLIk09CcrL7tSMiIvtXEMijJvNZld+AlKTqvuOIyEHQ8XP0q1X9bCpsmcuMpZ9y0qHX+Y4jUiTBYJCNa15nu4njkvbP+45TKBVoiIhEsYytuz+MrlOxjsckO2zY4Fpe3H9/SHb366+QlQWnnRaS3YmISLS55BJ3pmzYMHdJc1FZCytW7FuE8fvvrlPGTpUru2KL8893t0ce6W4bN4bYWHXIEClLzZsXvn5/nWxk/37+GYYMgUcegUaNfKeJCL/+Cp984ho2qbOfiMjfm/znIKrGB6H6Jb6jiIjIARx/yA0s+uUV/kj/XAUaEjG+m/dvGiZtZ03iNWHb+UUFGiIiUWzPAo3UimHQ6nn0aNf2IoTjTUAFGiIish/Nm0PLlm7MSWEFGgUFsGTJvoUY8+bBtm27t6tZ0xVfXH65u91ZiFGvnoowRCS6WAv33OPGxOzsoiH7FQjAmDGu/jw5Ge6+23ciEZHwt3D5YBrGwOmHh+biHRERKT0NqrViYm48eXa67ygiRbZiRT+qxMRw4cmv+46yXyrQEBGJUrkFuWzMcVf5xppYaiTX8JwIN94kNRXatg3J7tLSoEkTaNgwJLsTEZFotHixK7bYs5AiMREOOwwWLIC8vN3r69d3xRc33ri7COOII6BWrZK9dp06+169XycMOlqJiOzPp5/C5MkweDBUrOg7TVgLBOC882DSJMjOhoQE6N4dvvnGNVESEZF9BYNBqgR/YUVBbc5NaeA7joiIFMFWcwipsQspCOQRF5vgO47I3/rpj7dpmrSJlbEXkZxQ2Xec/VKBhohIlFq7bS2VqARAreRaxMZ4/pQwN9ddXta9O8TEHPTurHUFGuefH4JsIiISvfbshLFTbq5r29+x4+5CjMMPhypVQvvaGRkH3kZEwsaWLVt23a9UqZLHJJ5kZ7uxUK1bw3VqX3wgY8bAlCnurw1cvd+UKW59p05+s4mIhKvpSz+mZkIAm/wP31FEJATK/fFzOVGtagcqbl/ALyu+4vgml/uOI/K35v/5GLViDZ1PfNN3lL+lAg0RkSiVmZ3J8RwPQG3CYBDy99/D1q0hG2+yYAGsW6fxJiIiUkKjRvlOICKhVljXmmJ0wJkxY8au+x06dAhRqAjyyiuwfDm8955aQBTBrFn71gBu2wazZ6tAQyScGWOOAO4EagLjrbUDPEcqV+YuHUBjA+0Pf8B3FBEJgXJ//FxOHNv0Opb/9hbzV32qAg0JazOXfcGhSWtYyhlUSU71HedvHfwlzCIiEpYCwcCu+zEmDH7cjxgBFSrAmWeGZHdpae5WBRoiIkVjjOlsjHk7KyvLdxQRkdKRkeHarFkL8+e7Y8+WLSEY9J0s/GVkQJ8+rpj6jDN8p4kIxx4LcXtd9pSS4hqQiEjpMMa8Y4xZa4yZu9f6jsaYBcaYRcaYB/9uH9baedbaW4DLgTalmVf2lZw/neW51Uit0sJ3FBERKaJDarVjfV4s2Vum+I4i8rdmzr+P7QG44PiBvqMcUBicsRMRkdJmjPEbwFpXoHHeeZCcHJJdpqVB3brQrFlIdiciEvWstSOttT2rhHqMh4hIOGrRAl57Db77Dp5/3nea8Ne7N+TkwL//7TtJxOjQwb3NiY0FY6BiRTjxRI1gFCll7wEd91xhjIkF3gDOB44EuhtjjjTGtDTGjNprqb3jay4EJgLjyzZ++fbrylHUTcwjqfK5vqOIiEgxbaIxtWLTCar4XcLU/NXjaZqwjNW0pXalQ33HOSAVaIiIRCmL9R1htxkzYNWqkI03sRZ++MF1z/BdeyIiImGuTp2irROR6PPPf8Jll8Gjj8LUqb7ThK9ffoHBg+H22+Gww3yniRhDh0JBATz1lFuGDIFvvtF0GJHSZK1NAzbstfoEYJG1drG1Ng/4BLjIWvurtbbTXsvaHfsZYa09Gbhqf69ljOlpjJlujJm+bt260vojlSsz/3wFgFNa3O83iIiIFFvlyu2pEm/5LX207ygihZr46+0ELJx77Nu+oxSJCjRERKKUtWFUoDFiBMTEwD/+EZLdLV0KK1dqvImIiBTBniMPdi4ZGb5TiUhZMAbeegvq1YMrr4QtW3wnCj/Wwr33QrVq8NhjvtNElDfegCOOgIcecjVAnTqpOEPEk/rAij0er9yxrlDGmA7GmNeMMW8B+z3LZK1921rbxlrbplatWqFLW47FZk9iWU5FGtU4zncUEREpplaNrwHgtxUfe04isq9l66fTKG4+ywNH0bB6a99xikQFGiIiUWrPDhoGz20mhg+HU06BmjVDsru0NHerAg0RERER+VvVqsFHH8GSJa5DhPzVqFEwfjw8/rj7u5IimTbNLb16qaOfSBgo7Ltwv1esWGsnWGvvsNbebK19oxRzyR4WZqTRICmbmJQOvqOIiEgJHFbnDDbmxbB18yTfUUT2MW72LcQaOK1lf99RikwFGiIiUrqWLoU5c0I23gRcgUb16nDkkSHbpYiIiIhEq1NPhd694b//hY91xdcu+flw333QogXceqvvNBGlf39ISYFrr/WdRERwHTMa7vG4AZDuKYvsx5Q/ngfgxOb3ek4iIiIlERMTQ6ZtQHWzgmAw6DuOyC5rsv6gvpnBkrxDOCw1cq7oVYGGiEiUCpsRJyNGuNsLLwzZLtPSoH17NzVFREREROSAHn3UdXS75RZYvNh3mvAwYAAsXAgvvADx8b7TRIzMTPjkE7jmGqhc2XcaEQGmAc2NMU2NMQnAFcAIz5lkL8FtP7AyJ5nDUjv4jiIiIiWUUulkqicE+WPNBN9RRHYZPfMmkmKh7REv+Y5SLDq1JSISpf4y4sRn393hw91w5ubNQ7K79HRYtEjjTURERESkGOLi3KiTmBi48krXPaI827ABnngCzjoL/vEP32kiyjvvQE4O3Hab7yQi5Y8xZggwGWhhjFlpjLnRWlsA3A58A8wDPrPW/uYzp/zVig2zaZy0hUDyyb6jiIjIQTiqYXcA5iz/wHMSEWfT9nRqBX5kUU5djmkUug7uZUEFGiIiUSosOmhs3Ag//BDS7hk//uhuVaAhIiIiIsXSuDG8/TZMmQJPPuk7jV9PPw1ZWfDSS+CzmDvCBIOu8chpp8HRR/tOI1L+WGu7W2vrWmvjrbUNrLWDd6wfba09zFp7qLX2Wd855a8mzu8HwLGH3OE5iYiIHIyj63dic74hK+tH31FEABg5vQcV4yxHNY+8wz8VaIiIRLHcHf8FYgJ+AowZA4EAXBS66sW0NKhYEVq3DtkuRURERKS8uPxy+Oc/oU8fmDDhL08lJCTsWqLawoXw+utw443QqpXvNBFl7FhYsgR69fKdREQkcuRs/oaM3ASOrt/JdxQRCbFyc/wsAMTExLA2UJcqdpnvKCJsz9tExdyxLM6pTrtDb/Adp9jifAcQEZHSYbFMZrK7X8lTN43hw6F2bTjxxJDtMi3NjQ+P028wERERESmJ116DiRPh6qvhl1+gRg0ATj65nLRe/9e/ICnJddGQYnnjDUhNhUsu8Z1ERMqCMaYz0LlZs2a+o0SsNVl/0ChxI8tsO2JidK2oSLQpN8fPsktyxROpVTCMxesmc0itdr7jSDk2YkYvUuODVG3wiO8oJaKjIhGRKLXniBODh7bFeXmug0bnzm7WdwhkZsLcuRpvIiIiIiIHISUFhgyBtWvhppsgHEYDlpXvvoMRI+Dhh6FOHd9pIsrixe7tTc+eoItERcoHa+1Ia23PKlWq+I4SsX6c349YA0c3UeshEZFo0KJBNwBmL/3AcxIpz/IDOcRu/pzlORU5vcVdvuOUiAo0RESilGWPAg0fc6UnTIAtW0I63mTiRHerAg0REREROSjHHQd9+8JXX8Fbb/lOUzYCAbjnHmjcGO6+23eaiPPmm67uvGdP30lERCJH1saRrM+LpU2TK31HERGREGjd8BK2FcCGjd/7jiLl2MiZd1MrsYCade+K2A5dkZlaRESKxUsHjeHDITkZzj47ZLtMS4PERGjbNmS7FBEREZHy6u674dxz3e3vv/tOU/ree8+NdOnXz404kSLLzobBg+Hii6F+fd9pREQiw6bt6TRMWEtWTKuIPXkiIiJ/FRebQEZBbSraxb6jSDkVCBaQm/ku6TmJnNfycd9xSkxHRiIiUcpaS40d/1XIr1DWL+5aJ597rivSCJG0NDjpJFekISIiIiJyUGJi4P33oXJluOIK1q9axfr161m/fr3vZKG3ZQs88gi0aweXX+47TcT57DPYsAFuu813EhGRyDFhXj8SYuCwRjf5jiIipWTnsXNUHj/LfiVUaENqYh4rN87xHUXKobFzelM3KZfkmjcSGxPnO06JqUBDRCRKWSwtd/xXd3vdsn3xWbNg5cqQjjfZsgVmztR4ExEREREJodRUePdd+PVX5r72GnPnzmXu3Lm+U4Vev36wZg28/DL4GH8Y4d54A444Ajp08J1ERCRyrF/3JZvyY2h3qAo0RKLVzmPnqDx+lv1qVv9SAGYsec9vECl3gsEgmRn/YW1uHJ2OfdF3nIOiAg0RkShlrfX34iNGuA9+//GPkO1y0iQIBlWgISIiIiIhdsEFcOedMHUqLFzoO03oLV8OL74IV14JJ57oO03EmTbNLb16qbZFRKSotuVsoH78StbTgrjYBN9xREQkhI5r1I3sAKzLHOc7ipQz389/gUZJ27CVuxEfG9ljO1WgISJSDpiy/iRx+HA4+WSoXTtku0xLg7g415VZRERERCSk+vWDOnXcceyWLb7ThNaDD7rbvn395ohQ/ftDSgpce63vJCIikeOHBS+SHAtN6umHp4hItEmMr8Dq/BokB/7wHUXKmeXLn2NjXgwXHt/fd5SDpgINEZEoZfHUQWPZMpg9O6TjTcAVaLRp4z4cFREREREJqcRE6NoV8vLgq69c67Zo8PPPMGQI3HsvNGrkO03EycyETz6Ba66BypV9pxGRsmaM6WyMeTsrK8t3lIiTvuZTthYY2h92h+8oIiJSCmKTj6V+Ug5rslSkIWVj0qJBNE3ayLbkTiQnRP6bMxVoiIhEKW8jTkaOdLcXXhiyXWZnu47TGm8iIiIiIqWmVi3o2BEWL3YjQSKdtXDPPZCauruLhhTLO+9ATg7cdpvvJCLig7V2pLW2Z5UqVXxHiSi5+dupE7OYjGBTEuMr+I4jIiKl4JC6lwAwfcm7npNIeTFvUW+2FBg6t3nLd5SQUIGGiEiU2rODhqEMR5wMHw4tWrglRKZMcRczqkBDRERERErVccfBEUfAww/D9Om+0xycTz+FyZPhmWegYkXfaSJOMAgDBrj3IEcf7TuNiEjk+HHha1SKs9Src4XvKCIiUkraNLma3ABkrP/GdxQpB2YtG8qhSRlkxnWgSnKq7zghoQINEREJnU2bYMKEUhlvYgycckpIdysiIiIi8lfGQOfOrutE9+6wdavvRCWTnQ0PPACtW8P11/tOE5HGjoUlS6BXL99JREQiy9L0D8gOwOkt7vUdRURESklyQmXS86uSUDDfdxQpB2bMv5ftAbjg+IG+o4SMCjRERKKUlxEnY8dCQUFIx5uAK9A45hioWjWkuxURERER2VdyMnz0kRt18n//5ztNybzyCixfDi+9BLGxvtNEpDfecHU6l1ziO4mISOQoCORRk/msym9ASlJ133FERKQ0JbaiXuJ2Nmxd7juJRLEFq7+jacIyVtOG2pUO9R0nZFSgISISpf4y4sSU0YiT4cPd7O6TTgrZLvPyYNIkjTcRERERkTJ02mnwyCPw3nvwySe+0xRPRgb06eO62p1xhu80EWnxYhgzBnr2hIQE32lERCLH5D8HUTU+SM1aqm4TEYl2jetcSKyBaUve8x1FotiPv95GwMK5x0ZP9wxQgYaISNQq8w4aeXnuU8zOnUN6ld7Mma5Dswo0RERERKRMPfYYtGsHN9/sZl1Eisceg5wc+Pe/fSeJWG++CTExrkBDRESKbuHyweQFocMRD/qOIiIipaztIdeRH4RV60b7jiJRannmTBrFzWd54EgaVm/tO05IqUBDRCSKbdnxX35cfum/WFoaZGWVyngTgPbtQ7pbEREREZG/qFix4q4FgLg4+Phjd/+qq9wov3A3Zw4MHgy33w6HHeY7TUTKznZ/hRdfDPXr+04jIhI5gsEgVYK/sCKvNlUr1PMdR0TKwD7Hz1KuVEqqSXpeJWLzfvMdRaLU/2b3JNbAaS3f8B0l5OJ8BxARkdJhscxgBgDVKlcr/RccPhySkuCcc0K627Q0OPxwqF07pLsVEREREfmLNm3a7LuySRN46y3o3h2eesot4cpauOceqFrVddGQEvnsM9iwAW67zXcSEZHIMn3px9RMCGCT/+E7ioiUkUKPn6VcCSQcRSN+ZnP2Wion6wN8CZ01WX9QjxksyWvKWakdfMcJOXXQEBGJUnuOODGY0n4xGDHCFWdUqBCy3QYCMHGixpuIiIiIiEdXXAHXXw/PPru7vVu4SU11MznGj3fVBdWru3VSbG+8AUccAR06+E4iIr4ZYzobY97OysryHSUizF06gICF0w5/yHcUEREpIw1q/4O4GJi25H3fUSTKjJnVg+RYaHvEy76jlAoVaIiIRCnLHgUappQLNH75BZYvh4suCuluf/3VTU1RgYaIiIiIePXaa3DIIW7UyYYNvtPsa82aoq2TvzVtmlt69YLSfgslIuHPWjvSWtuzSpUqvqNEhOT86SzPrUadKs19RxERkTLStun1BCwsXzPSdxSJIpu2p1OjII0/c1I5plFozzmFCxVoiIiUA6XeQWP4cPcJZqdOId3tzgsUVaAhIiIiIl5VqgRDhriihx49XAc53xYtgn794IQTfCeJGv37Q0oKXHON7yQiIpFlzooR1E3MI6nyub6jiIhIGaqW0oD03AqY3Dm+o0gUGTmjJ5XiLEc2e8Z3lFKjAg0RkShlraXujv9SclNK98VGjICTToI6dUK627Q0N/a7YcOQ7lZEREREZB/p6em7lkK1aePGnHz5JQwaVLbhdvr9d3j6aWjdGpo3hwcf9JMjCmVmwiefuOIMXSwvIlI8sxa/RtDCqYfr95JIeXLA42cpF/LijqBeQhbb8zb5jiJRYHveJirmjGFJTjXaNbvRd5xSowINEZEoZbG02PFf9W3VS++FVqyAmTNDOt4kEICRI2HMGNdJOhAI2a5FRERERAq1cOHCXct+3XsvnHMO3HknzJtX+qGsdeMEe/eGI4+Eo46Cxx6DihXhpZdg6VKYOrX0c5QD77wDOTluvImIiBRPbPYkVuRWomH11r6jiEgZKtLxs0S9urXOIyEGpi/50HcUiQIjZtxGtfggjRs94jtKqVKBhoiIHJwRI9xtiAo0AgE47zy44grYvh1++sk9VpGGiIiIiHgXEwPvv+/mYHTv7s7oh5q1MG2a647RvLnrltGnj+tW9/rrsGoVTJwId98NjRu7rymsk12Iu9tFs2AQBgyA9u2hZUvfaUREIsvCjAk0SMomJuV031FERMSDNof8k6CFJRlf+Y4iES4/kEPs5s9YnpNCh8Pv9h2nVKlAQ0QkStk95mIbY0rvhUaMcB8ct2gRkt2NGQNTprjiDIDcXPd4zJiQ7F5ERERE5ODUrQvvvus6W4RqxEgwCJMmwT33uBl/J5wAL74Ihx4Kb70Fq1fD99/DbbdBvXr7fn1Ghivs2HPJyAhNtnJg7FhYssT99YqISPFM+eNFAE5s/i/PSURExIfalQ5ldW4SgexZvqNIhBs58x5qJRZQs+6dxMREdwlDdP/pRETKMYs98EYHKyvLfVB80UUQoiKQWbNg27a/rtu2DWbPDsnuRUREREQOXqdO8H//B6++CqNHl2wfgQBMmAC33w4NG8Ipp8Abb0CrVq4AZM0a+OYb6NkTatcOaXz5qzfegNRUuOQS30lERCJPcNsPrMxJ5rDU03xHERERT7Jjm1M3fgO5+dt9R5EIFQgWkJP5Duk5iZzX8knfcUqdCjRERKLUnh00Ss0330B+Plx4Ych2eeyxrmP0nlJSXGdnEREREZGw8e9/u2KK668vereK/Hz49ltXdFG3LpxxBgweDCeeCB99BOvWwciRbp/Vq5dmetlh8WLXra9HD0hI8J1GRCSyrNgwm8ZJWwgkn+w7ioiIeFSrxtkkx8LMZUN8R5EINXbOY9RLyiWpxj+JjYnzHafUqUBDRKQcMJTSiJPhw6FmTTg5dG/Ezz8fjjzS3TcGKlZ0n1eff37IXkJERERE5OAlJcGQIbBlC1x3nRtTUpjcXBg1Cm64AerUgfPOc1935pnw+eewfj18+SVceSVUrly2fwbhzTchJgZuvtl3EhGRyDNx/nMAHHvIHZ6TiIiIT22a/hOAP9KHek4ikSgYDJKZ8RrrcuPofNxLvuOUiegvQRERKadKfcRJfr5r53zxxRAbG7LdxsbCpZfC1Klw331w2mmuOCOELyEiIiIiEhpHHgkvvwy33upu773Xrd++HcaOhaFDXXHG5s1QpYrrPNe1K5x7LiQn+80uZGe7BiYXXwz16/tOIyISeXI2f8tqk0CHhqHrrCoiIpGnfrWj+TE3gXw7w3cUiUDfz3+RRknbyEi8kvjYJN9xyoQKNEREolSpjzj58UfYtCmk4012+u47OOII1zVaRERERCSs3Xwz3HWXqy6+776/PlejBlx2mSvKOOsszdAIM599Bhs2QK9evpOISDgyxnQGOjdr1sx3lLC0JusPGiVuZJnVeBMREYGt5hDqxs6nIJBHXKze90jRLV/el6oxMVx48hu+o5QZjTgREYlSe3bQMKYURpwMH+7aOp97bkh3m5sLaWlw9tkh3a2IiIiISOkwxh3EFiYjAwYNci3hVJwRdt54wxWGn3GG7yQiEo6stSOttT2rVKniO0pYSpvfl1gDRze51XcUEREJA9WrnUFKHMxerjEnUnSTFw2madJGtiZfQIWEqr7jlBkVaIiISPFZ6wo0zj4bUlJCuuuff3Ydoc86K6S7FREREREpe3FqXBqupk1zS69ersZGRESKZ/PGr1mfF0ubJlf6jiIiImHg2CbXAbBg1Week0gk+X3Ro2wpMFzYZqDvKGVKnxSIiEQpay2ZZAKQm7CfK/pK6tdfYdkyeOSR0O4XGD8eYmKgQ4eQ71pEREREZL9q1KjhO4KUof79Xa35Ndf4TiIiEnk2bU+nYcJaVgSPIyZG14CKlFc6fpY9Na11ItNz48jOmeI7ikSI2cuHcWhSBkvpQJXkVN9xypQKNEREopTF8iu/AnBolUNDu/Phw91lZp07h3a/wLhxcMIJoA6iIiIiIsUXCMCYMTBrFhx7rJusERvrO1VkaNmype8IUkYyM+GTT+D66/W+Q0SkJCbM60fVGDiswY2+o4iIRzp+lr1lmSbUjvmTQLCA2Bidgpa/N33ePdSPgwtOGOQ7SplTeauISJSy1u66bwhxz97hw+HEEyE1tFWNWVkwdaqbnCIiIiIixRMIwHnnQffu8Pjj7va889x6KWV16hRtnYSFd9+FnBw33kRERIpv/bov2Zgfw8nNevqOIiIiYaRKlfZUjrfMXfm17ygS5hZmTKBpwlLSOZ7alUJ8gXEEUIGGiEg5YEI5VHnlSpgxAy68MHT73OGHH9wJBBVoiIiIiBRdMAgLF8IDD0BaGmzdCta62ylTXEcNKWUZGe4vfc8lI8N3KilEMAgDBkD79qCLPkVEim9bzgbqx68kk8N1dbSIiPzFMY2vBeD3lUM8J5Fwl/ZrLwIWzmn9tu8oXugISkQkSllKqYPGyJHu9qKLQrfPHcaNg+RkOOmkkO9aREREJCpYC0uWwPTpu5cZM2Dz5sK337oVXnkFDj8cmjUr06giYWnsWFi8GPr08Z1ERCQy/bDgRSrEQpPUa3xHERGRMNOs9mnMnRPDttxJvqNIGFuxYTaNYuexPHAE59Y4znccL1SgISISpay1NKEJACnbUkK34xEj4NBD4YgjQrfPHcaPh9NOg8TEkO9aREREJOJY65qXTZv214KMjRvd8wkJcMwxcNVV0KYNbNsGDz/sijJ2iolxx1jNm8Oxx0K3bnD55dC0qZ8/UzhbunTprvtNmjTxlkNKV//+blLjJZf4TiIiEpnS13xCnRjDuYfd4TuKiHim42fZW0xMDBtsQ2rErCAYDBITo0EOsq9vZ/WgSQyc1rK/7yjeqEBDRCRKWXYXaFTcXjE0O92yBb77Dm6/HUI5NgVIT4fff4cbbgjpbkVEREQixurVfy3EmD4d1q51z8XFuXEMl17qijHatIGjj3ZFGjsFAjB8uBtrsm0bpKTAiSfCoEEwbBh8+ik8+KBb2rZ1xRqXXQaNGvn584YbfcAc/ZYsgdGj4dFH//q9IyIiRZObv53UmCVkBA8hMb6C7zgi4pmOn6UwFSufQrXcj1mQMZ4j6p3jO46EmbVb/qQe01mS14SzUjv4juONCjRERKToxo6FvLxSGW8yfry7PfvskO9aREREpMwEAjBmDMya5TpWnH8+xMbuu926dfsWY6Snu+diYuDII+GCC1whRZs20KoVJCX9/WvHxsI337jXnz0bWrfe/fp33+2WpUvh889dscZ997mlXTtXrHHppVC/foj/QkTCyIAB7vvr5pt9JxERiUw/LnyNinGWetW6+Y4iIiJh6uhGV7H+j4/5dfmHKtCQfYyecRNNYqFN85d8R/FKBRoiIlHKWrvrvglVt4sRI6B6dTj55NDsbw/jxkHNmu7kg4iIiEgkCgTgvPP27WDxySeuYGL69N3jSpYvd19jDLRoAWeeubszRuvW7mtLIjYWOnVyS2GaNIF//cstixbtLta46y5XwHHqqa5Yo2tXNwZCJFpkZ8PgwXDxxSpEEhEpqaXp/6V+DJze4l7fUUREJEwdWbcjI343bM6d6DuKhJlN29OpUfADfxakcmOj8j1zUgUaIiJRymIPvFFx5OfD119D586ux3YIWes6aJx5pruiTURERCQSjRnjijO2bnWPt2510+Fq1dq9TbNmrtb1jjtcMcaxx0Llyn7yNmsGDz3klgUL4LPPXLHG7be7fKefDpdf7oo19vwziESizz6DDRugVy/fSUQkUhhjOgOdmzVr5jtKWCgI5FGTBawqaEhKUnXfcUREJEzFxMSwPliPqmaZ7ygSZkbOuJmGcZaaTZ7xHcU7nQYTEYlSe3bQCImJE2HjxlIZb7JgAaxapfEmIiIiEtlmzXKdM/ZkLZxzjusWtmED/PEHDBkC997rCiB8FWfsrUUL6N0b5s51y6OPupErt94KdevCuefCoEHuzyASid54A444As44w3cSEYkU1tqR1tqeVapU8R0lLEz+cxBV44PUrFm+r3gVEZEDq1DxJGomBFi09iffUSRMZOdtpmL2aJbkVKNdsxt9x/FOBRoiIuWAIQQjTkaMgMRE9+l8iI0b525VoCEiIiKRrLCxCRUrum4UZ50F1aqVfaaSOOooePJJmDcPfvkFHngAFi+GHj2gTh244AJ47z3YtMl3UpGimTbNLb16ubFCIiJSfAuXDyYvCB2OeMB3FBERCXOHN7gCgF+Wvu85ifgWCGxjzvz/I21iVaolBGnUUGPSQAUaIiJRK6QjTqyF4cPdmYWKFUO33x3GjYNDDoGmTUO+axEREZEysXo19OnjxrUlJ7uTwBUrwoknwvnn+05XMsZAq1bw7LOu88eMGXDPPa5w44YboHZtN/3uww9h82YIBGDUKHj6aXcbCPj+E4g4/ftDSgpcc43vJCIikSkYDFIl+Asr8upQtUI933FERCTMHdPwYrYUGDZu+sF3FPFo06Y0Jk9uzNrVA0iMsQQtJG58mU2b0nxH8y7OdwARESkdIR1xMncuLFniLp8MsYIC+P576NYt5LsWERERKRPr1rlOYBkZMGGC6ywxeza0bu2KM2Jj/eYLBWPguOPc8txzrhvBp5/CZ5+5YoyEBDeuZcsWyMtzJ8NPPBG++SY6/vwSuTIz4ZNP4PrrQVMKRERKZvrSj6mZEIDkTr6jiIhIBIiNiWNtQR0qmSW+o4hH6ekDKSjIJG5HF8MYAwUFmaSnD6Rq1dP8hvNMHTRERKLUnh00zMH28R0xwt127nxw+ynEjBnuikuNNxEREZFItGkTnHeeGwEyahSceip06gSPPupuo7E4wRg44QR48UVYtgx++sn9HWRmQm6ua762dStMmQJjxvhOK+Xdu+9CTo4bbyIiIiUzd+kAAhbaH67xJiIiUjQJKW2ok5jP8syZvqOIhB0VaIiIyIENH+4+ha8X+jaW48a52zPPDPmuRUQkDGjkgUSzrVvhggtcs7Fhw6BDB9+Jyl5MDJx8MrRtu+9z27a5TiIivgSDMGAAtG8PLVv6TiMiEpmCwSAV8qezLLc6dao09x1HREQixGH1LwNg5tL3/AYRb3IKsou1vjzRiBMRkShlrSWddAAOq3BYyXeUnu56WD/zTIiS/dW4cXDssVCzZqnsXkREPAoE3FX1U6a4E7UaeSDRJDsbLrwQpk6Fzz+Hjh19J/Lr2GPd9/jWrbvXxce7MS+Rom7dur4jSIiNHeu62/Tp4zuJiEjkmrtqFKmJeaxOONd3FBEJMzp+lr9zXOPL+d/i61i/4TvfUcSTr1YVcGoixBvXiTMnALlB+H5VgONa+U7nlwo0RESilMWykIUAnFD5hJLvaORId3vRRSFI9VfbtsGkSXDnnSHftYiI7MeCBQvosNdl/pdffjm9evVi+/btXHDBBft8zfXXX8/111/P+vXrufTSS/d5/tZbb6Vbt26sWLGCa665Ztf6zEz4/XcIBu8FOrN16wK+//5mWreGGjV2f/2jjz7K2WefzezZs7nrrrv22X+fPn04+eSTmTRpEg8//PA+z7/yyiu0bt2acePG8UwhBYVvvfUWLVq0YOTIkbz44ov7PP/BBx/QsGFDPv30UwYMGLDP81988QU1a9bkvffe47333tvn+dGjR1OhQgX69+/PZ599ts/zEyZMAOCFF15g1KhRf3kuOTmZMTtmQDz99NOMHz/+L8/XqFGDoUOHAvDQQw8xefLkvzzfoEEDPvzwQwDuuusuZu/VruCwww7j7bffBqBnz54sXLjwL8+3bt2aV155BYCrr76alStX/uX5du3a0bdvXwC6du1KZmbmX54/66yz6N27NwDnn38+2dl/vQqiU6dO3HfffQD7/LuD0vu3t9O9995L586dWbBgATfffPM+z5f0314wCL/9Bhs2vMKHH7amUqVxdOhQvv/tzZo1m7g411EjGARjDiMv722qVtW/vVD+29tJP/eK9nPvllt6Eh+/kP79XScN0L89/dvT79yD+bcn5dOsxa/R0MKpGm8iIntp0aKF7wgSxuJjk8goqEkKi3xHEU/GrZjHac1g/hZokAzD0uHj5XBE7aU86TucZyrQEBGJUtbaXfcNpuQ7Gj4cDjkEjjoqBKn+auJEyMuDs84K+a5FRGQvxpjOQOekpKQye82tW92J2j0Fg279ngUaIpHEWpg3DzZsgN694aqrdo9sK8+MgVat3N/L1q3u8HHxYujeHc44w3c6KY+WLIEVK6BxY/fvU0RESiY2exIrqMSZ1Vv7jiIiIhEmNvk46tpvWb1pHnWrHuE7jpSxnofVJcYu5Iy24zi87ll0Bt7xHSpMmD1P4EWqNm3a2OnTp/uOISISVt6f/T7XD78egGuPuZb3L36/+DvZeQatVy94+eXQBgTuvx9efdV9kJ+SEvLdi4gckDFmhrW2je8cZaksj51HjXInZ/cceVCxIgwZAp06lUkEkZAKBOC66+Cjj+CVV9QF7EBmzoSTT4bTT4fRozXaSMrW/ffDSy/BsmVQv77vNCLRoTweO0P5/ux5YcYE0uefwcrYC7m6/XDfcUREJMJM/OMtClbdwpYq/6Lzsf/2HUfKUE7+VsZMqMKGQA1u7LjWdxxv9nf8HOMjjIiIlD5LCDpofPONa3FRCuNNwF1tevLJKs4QEYlW558PJ57oijJ2OuEEt14k0lgLt97qijOefVbFGUVx3HHw2mvw7bfu70ykrGRnw+DBcPHFKs4QETkYU/5wo4pOaH6v5yQiIhKJ2jS5ipwArM38n+8oUsbG/PIA1eKDNGxwh+8oYUkjTkREopS1lsM4DIDkrOTi7yA1Fdascfd39qWuUwcyMkKSb/16mDULChlbLCIiUSI21tX6jRkDH34In34Kjzyiq+gl8lgLd98NAwfCww+7RYqmRw831u6JJ1xh7tln+060fwsWLNh1X/O0I9tnn7kufb16+U4iIhLZgtt+YCXJdEg9zXcUEQlDOn6WA0mKr8jq/GoksuDAG0tU2bL+v+SZeC498kHfUcKSOmiIiEQpi6Xejv+SspOKv4OdxRkHWldC333nbs86K2S7FBGRMBQb68aZDBoESUkwbJjvRCLF17u3G8t2550qLi0uY2DAADjySDfyaOVK34n2b/Xq1bsWiWxvvAFHHLG7zlxERIpveeZMGidtIZB8iu8oIhKmdPwsRWGSjqFeYjbrty7zHUXKyM9/vk+jpK0UVOxMbIx6RRRGBRoiIuLF+PFQuTK0KXfTa0VEyqeKFd1oky+/hGDQdxqRouvb143n6NEDXn7ZFRxI8aSkwBdfQE4OdOsG+fm+E0k0mzbNLb166ftVRORg/LTg3wAcd6jmuomISMk1qXMRMQamL37XdxQpI3MXPcX2AFzQ+lXfUcKWCjRERKKUtXbXfUMxP5kMBEKcZl/jxrkr2uJUQCkiUm507Qrp6TBliu8kIkXz6qtunMlVV7kuEDrZW3KHH+5GxEyaBA895DuNRLP+/V1R0DXX+E4iIhLZcjZ/y+rcBFo26OQ7ioiIRLC2Ta8lLwir1o32HUXKQPqm32gUv5j0YEuqpTTwHSdsqUBDRCRKWeyBN9qf4cNDF6QQixe7JZxnkIuISOh16gTx8e5KepFwN2gQ3HUXXHIJvPeeG9cjB+eKK+D22+HFF103HZFQy8yETz5xxRlVqvhOIyKRzhjT2RjzdlZWlu8oZW5N1h80StxITkJb31FERCTCpSRVJz2vMvH5v/uOImXgf7/cSUIMtDuyn+8oYU0FGiIiUWrPDhrFaqBhLfTrV/hZiDp1DjoXuPEmoAINEZHypkoVOPdcGDrU/boRCVcffQQ9e0LHjjBkiDp+hdILL8AJJ8ANN8CiRb7TSLR59103SqdXL99JRCQaWGtHWmt7VimHFV9p8/sSa+DoJrf6jiIiIlEgmHA09RO3kZWd4TuKlKLc/O1Uyv2exTk1OKr++b7jhDUVaIiIlAPFGnGSlgZTp8Lrr7uzZ3suGaE5gBo3DurVgxYtQrI7ERGJIF27wrJlMGOG7yQihRs2DK67Dk4/3XV5SEz0nSi6JCbCZ5+5WuDLLoPsbN+JJFoEg24UUfv20LKl7zQiIpFt88avWZ8Xy/GNu/uOIiIiUaBhnU7EGpi2+D3fUaQUjZ3zCNUTgtStp4r5A1GBhohIlCrxiJN+/aB2bXdmohQEg/Ddd657hua4i4iUPxdd5LoRDB3qO4nIvsaMgW7doG1bGDECkpN9J4pOjRvDhx/C7Nlwxx2+00i0GDvWjVG87TbfSUREIlcgsI1pv/6TQxLXQmx1rM3xHUlERKJA26bXEbCwYu0o31GkFG1c9w5rc+M456hHfUcJeyrQEBGJUrYkvePnzHFnJu64o9TOSMyZA+vXa7yJiEh5Vb06nHEGfPGFxpxIeJkwAbp0gaOPdodDlSr5ThTdLrgAHnkEBg2C99/3nUaiQf/+biLjJZf4TiIiEpk2bUpj8uTGZK17D2Ogqslk8uRGbNqU5juaiIhEuKoV6rEqNwWT+6vvKFJKpi8ZQpOkzeRVuIC42ATfccJemRdoGGM6GmMWGGMWGWMeLOT5DsaYLGPM7B3LY2WdUUQkGuzZQaPII06efx5SUkp1aPO4ce72rLNK7SVERCTMde0KixbBr3pfLmFi8mTo1AkOOQS+/RaqVvWdqHx48klXsHXrrfp5ICUTCMCoUXDPPfD113DTTZCgzwJFREokPX0gBQWZxMW4z5PiYoIUFGSSnj7QczIREYkG+fFHUC9hM9tyNviOIqVg9h+PkxOAjse+5jtKRCjTAg1jTCzwBnA+cCTQ3RhzZCGb/mitbb1jeaosM4qIRKWi1GcsWwZDhkDPnlCtWqlFGTcOjjgC6tUrtZcQEZEwd/HFEBOjMScSHmbNgvPPh9RUd5xSs6bvROVHbCx8/LEriOnaFTZv9p1IIkkgAOedB927w8svu3UTJrj1IiIiIiISXurW7EhCDExb+oHvKBJiGVkLaBT3ByuDR1KzYmPfcSJCWXfQOAFYZK1dbK3NAz4BLirjDCIi5YK1lqU7/suvlH/gL3jpJTAG7r671DLl5sKPP2q8iYhIeVenDrRvrwIN8e/33+Hcc6FyZRg/HurW9Z2o/ElNhU8+gcWLXfcDn6OPmjRpsmuR8DdmDEyZAlu37l73yy9uvYiIFF9OQXax1ouI6PhZiuP4xldgLeSl38Wc+XcSCGz3HUlC5Ntf7iQhBtq26OM7SsQo6wKN+sCKPR6v3LFub+2MMb8YY8YYY44qbEfGmJ7GmOnGmOnr1q0rjawiIhHNsrtAI69S3t9vnJnpBoBfdRU0bFhqmX7+GbZvV4GGiIi4q+V/+w3mz/edRMqrRYvcMUlcHHz3HTTWRR7enHYa9OkDn38Or7/uL4c+YI4ss2bBtm1/XbdtG8ye7SWOiEjE+2pVAVn5ENhRLJkTgKx8GL5KrYlEpHA6fpai2rQpjT/mno4FEmJg7er+TJ7ciE2b0nxHk4OUH8ghJWccS3KqcUwj9WQoqrIu0Cisyf7e18fMBBpba48B/gN8VdiOrLVvW2vbWGvb1KpVK7QpRUSijDEHmHHyxhuucuJf/yrVHOPGuVbWp59eqi8jIiIRoEsXd6suGuLDsmVw1lmQl+eOT5o1851I7rsPLrwQ7r3XFfWKHMixx0JKyl/XpaRA69Ze4oiIRLyRy5fR7WfYkAcFQfhsJXT7GUYsX+o7moiIRLj09IEUFGQSs+M0RZwpoKAgk/T0gX6DyUEbO+cxaiQEqJ16s+8oEaWsCzRWAntemt0ASN9zA2vtZmvt1h33RwPxxhhNARYRKSa7R39oU2h93A7bt8N//gOdOsFRhTYtCplx4+CEE6BKlVJ9GRERiQD160O7dirQkLK3erXrnJGVBf/7X6kf/kgRxcTAe+9BgwZw+eWuwZvI3zn/fGjVavfjihXhxBPdehERKb5ZN88ip7cl21ZkeV4N3rnOktPbMuvmWb6jiYiISJjKXPM26/NiOa/lk76jRJSyLtCYBjQ3xjQ1xiQAVwAj9tzAGJNqdlzqbYw5YUdGfTQjIlJMdo8GRX/bQeOdd2D9enjggVLNk5UFU6e6q1VFRETAjTmZNQsWL/adRMqLdetcccbq1TBmjLsCX8JHtWpuzMmaNXD11RAM+k4k4Sw2dvfoxHvvhSFD4Jtv3HoREREREQkfOQXZxVovkWHmsi9okpTF9qRziYtN8B0nopRpgYa1tgC4HfgGmAd8Zq39zRhzizHmlh2bXQrMNcb8ArwGXGH3vAxcRESKxFpLyx3/JWYmFr5RQQG8+KK7hPmUU0o1zw8/uA/Zd36IKiIi0rWru1UXDSkLmzbBeee5gqBRo9zhj4Sf44+H116DsWOhT5+yfe1ff/111yLhLxiE99937y9eeME1BFRxhoiIiEjZ0fGzFNVXqwrIyoecgHscsJCVD8NXBfwGk4Myc0FvcgLQ8dj/+I4SceLK+gV3jC0Zvde6N/e4/zrwelnnEhGJRjWoAUBczn5+3H/+OSxdCq+8An/XZSMExo2DChXgpJNK9WVERCSCNGniTsZ+8QX861++00g027oVLrgA5s6F4cOhQwffieTv9OwJEyfC44+7Qpqy6sCWqbkqEWXCBFi2rOwLeURERETE0fGzFNXI5cv491q4qhF0a+i6B1w9BZrVWooGY0SmtVv+pEHsfFYGWtCx0qG+40Scsh5x8v/t3XecVNX9//HX3V12gaUJSBdBEbuCothiw6goVkxiiT1qil8TS4wpvxRNU2NJLxY0atTEjhFREDUqIqio2BEB6R1pu8vu3t8fB2Tpd2Fn7szs67mPeczs3Ttz33NZ7p6Z+dzzkSRlSd0WJxteIYbrr4dddoETTsh4nhEj4NBDoWwjk3lIkhqn004LLbA++yztJCpUK1bAiSeG37MHHoCBA9NOpM2JIvjb38Iw9cwzYfr0tBMpFw0ZAq1bwymnpJ1EkiRJ0qa8ecmbVPy/mDvOjVnZ9hpKiuC/X/kjb17yZtrRtIWGj/8uTYthn51/mXaUvGSBhiQVqLrdoSI2MDvGs8/CW2+FU5aLMvvnYPp0eP/97J39KEnKH6vbnDzySLo5VFhqakIbk5/9DL70JRg1KrRCOPXUtJMpqfLyMLvOsmVw+umwcmXaiZRLFi8Ovx9nnAHNmqWdRpIkSVJS++34DWpjmDTTN4LyVXVNFU2XD2dyRWv22f60tOPkJQs0JKlAbXYGjeuvhy5d4KyzMp5l5MhwfdRRGd+UJCnP7LQT7Lln+KBNagg1NXDMMeGD22uvhddfDzMxnH562slUX7vuCrffHtqd/PjHaadRLnnwQaiogPPPTzuJJEmSpPro0HJHZlQ2I65w9ox8Nfydn7NtWTVtO1yYdpS8ZYGGJDUG606gMW4cPPccXH55VnqOjBwJ7dvDXntlfFOSpDx02mnw8sswa1baSVQIhg2DMWNg6dI1y6ZNC8uVf04/Hb79bbjxRnjssbTTKFcMGQK77w777Zd2EkmSJEn1VVmyK11LF7G8alHaUbQF5sz6G/Orihm496/SjpK3LNCQpAK1yRYnN9wQGjZffHEWcsCIEaG9SYY7qUiS8tTgweHvxaOPpp1EheDVV9cuzoDQJmP8+FTiqAHcfDP06wfnnQeTJqWdRml7//3w//z88yHaQCdHSZIkSbmt87bHUloEr026O+0oqqe3P3uCnk0XsrRsAE2Km6YdJ2/5UZkkFaiNtjiZOBEefhi+9S1o1SrjOT74AGbMsL2JJGnjdtsNdt7ZNifaelOnwr33rr+8vBz69Ml6HDWQsjL4z39Cse9pp4XWFmq8hgyBkhL4+tfTTiKp0EVRdEIURf9YvHhx2lEkSSoo++94MbUxTJ7lmTr55rUPfkRVLRzT5w9pR8lrFmhIUoGqO4PGWn73O2jSBL773azkGDEiXA8YkJXNSZLyUBSFD11feAHmzUs7jfLVuHHQvz8sWBCKMVq0CL9bLVqE5QMHpp1QW6NHD7jnHnjzzawNY5WDVq6Ef/4Tjj8eOnZMO42kQhfH8dA4ji9u3bp12lEkSSoo7Vtsz/TKZlAxPu0oqocFS6fStehdplb3olPrndOOk9cs0JCkRuCLFiezZsFdd8G550KnTlnZ9siRsMMO0LNnVjYnScpTgwdDTQ08/njaSZSPHn0UDj00zLQwenQo1rj/frj22nA9fDgUF6edUlvr+OPhhz+Ef/wjFGuo8Xn6aZg9O7Q3kSRJkpS/qprsRpfSxSyrWJB2FCU0bPx3aVYMe+/087Sj5D0LNCSpQK3V4mR1b+Y//hGqquDKK7OSoboaRo2yvYkkafP69AnFfLY5UX3EMdx4Yyjw2WsvGDMGdt89FGMMGgQ/+Um4tjijcFx7LRx+OHzzmzBhQtpplG1DhkCHDnDccWknkSRJkrQ1umx7HKVF8Nqnd6UdRQnU1FbTZNmTTKloyX49z0o7Tt6zQEOSClQcx3y46qtmmxpYsgT+8hc49VTo3TsrGcaNg88/t0BDkrR5q9ucjBwJCxemnUb5YOVKuOQSuPrq8LszapQtDxqDkpIwK0qrVuHffcmShnvs3r17f3FR7pk7F4YOhbPPDh0bJUmSlC7Hz9oa/Xf4BjUxTJ71WNpRlMCzE35Jh7JqWm97XtpRCoIFGpJUoGJiZq76qm1RG+aCXrQIfvCDrGUYMSJcH3FE1jYpScpjgweHD92HDk07iXLdokXhDPrbboMf/QgeeACaNUs7lbKlU6fwb/7xx3DRRWEmlYbQpUuXLy7KPffeG2bos72JJElSbnD8rK3RtkV3ZlQ2J6p8K+0oSmDGjD+xoKqIgXv9Nu0oBcECDUlqBEqqa+GWW8J80Pvtl7XtjhgBfftC+/ZZ26QkKY/tvz9stx08/HDaSZTLPv0UDj4Ynn8e7rwTfvUrKPKVbaNz2GHw61/Dgw+GSeJU2OI4tDfZf//QxkiSlEkNVPkoSdJmVDXZnS6ln7OkYl7aUbQJ704fxg5N5/N56eGUNWmedpyC4NtYklSg4jqnEvYd9T5Mn57V2TOWLYPRo21vIklKLopCJ67hwxu2bYEKx+jR0L8/zJgBzzzjmfSN3fe/D4MGweWXw2uvpZ1GmfT66/DOO/6flyRJkgpJ1w7HU1oEr00aknYUbcLo96+hqha+vPfv045SMCzQkKQCFa864yGqhcP+/RrstRccc0zWtv/SS1BVZYGGJKl+Bg+Gykr473/TTqJc8+9/h7ZprVrBq6/aQk1h5pS774auXeErX4H589NOpEwZMgSaNoXTT087iSRJkqSG0n+HC6mJYersJ9KOoo1YuGwaXXibqSt70nWbPdKOUzBK0g4gScqMOI7Zl33Zcw58ti10vPzycGpylowYAaWlcMghWdukJKkAHHQQdOoU2pz4QZwgtDb4zW/gxz8OrU0ee8z2aVqjbVv4z3/C78bZZ8M3vwlvvRXa7A0cCMXFyR9r3LhxX9zu169fBtJqS1RUwL/+FWZYatMm7TSSJElazfGzttY25d2YXllOEW+lHUUbMWz89+hSArv3/H9pRykoFmhIUgFrSUuOmAFzO5XB176W1W2PGBE+ZGtuSzJJUj0UF8Mpp4Sz4pcv9+9IY1dVBZdcAnfdBWeeCXfeCWVlaadSrunXD26+GS69FEaOhJUrobw8tMMZPjx5kcbSpUszG1Rb5LHHYNEi25tIkiTlGsfPagjVpXuwHWP4fMUcWjXrkHYc1VFTW03R0ieYGpdzzo6+IGtItjiRpAIVE7PdYuj+OUzdrSuUZK8mb+5cGD/e9iaSpC0zeHAoznj6JpNAawAATdJJREFU6bSTKE0LFsDRR4fijJ/9DO691+IMbVz37mG4W1UVZl1ZuhTGjIFhw9JOpq01ZEj49z3yyLSTSJIkSWpo3ToMokkRvDbpzrSjaB0j37ueTmUradHunLSjFBwLNCSpQMVxzMFTYXkJzOzVKavbHjUqXFugIUnaEocdBu3ahTYnapwmToQDD4TRo0Nhxs9/ntVObcpD48dDTc3ay5YtC8uVvz77DJ59Fs47D4p8B0uSJEkqOP13/AY1MUydPTTtKFrHZ9P+wKKVRRzX54a0oxQcX95KUoFqN3k2O8+H17pCbUk9mm83gBEjoHVr2HffrG5WklQgSkrg5JNh6FCorEw7jbLtpZfggANg/vwwpjjrrLQTKR/07RvamtRVXg59+qQSRw3k7rvDjCjnnZd2EkmSJEmZ0LpZJ6ZXtqC46u20o6iOD2c+R8+yOSwsOYSmTVqkHafgWKAhSQXqwPtfYmVRKNAgy2ecjhgBRxyR1a4qkqQCM3gwLFkSzpxW43HffTBgQJhB5dVX4UtfSjuR8sXAgdC/PzRvHr5v0iR8P3Bgurm05eI4tDg64gjo2TPtNJIkSZIypbp0T7qWLmXxillpR9EqL737fWpjGLDXLWlHKUgWaEhSIZo2jT1GvM0bnWFFKURZrNCYNAk+/TR8uCJJ0pYaMCDMxmSbk8YhjkMbk69/HQ46KLQ26dUr7VTKJ8XFMHw4PPhgmDWjqAjuvz8sV3763//gk0/g/PPTTiJJkiQpk7breAIlRTDmkzvSjiJg8YpZdOINJq/sTvd2+6QdpyBZoCFJhejWW4lqY0Z3y/6mR44M10cdlf1tS5IKR2kpnHgiPP44rFyZdhplUmUlnH02/OIXcO654UP2tm3TTqV8VFwMgwaFthiVlXD77Wkn0ta4805o2TLMqCRJkiSpcPXf4UKqa2HanCfTjiLgqTcvp7wEdtnhR2lHKVgWaEhSoVm4EP7+dyYcsTuLm2V/8yNGQNeusPPO2d+2JKmwnHZa+LM2alTaSZQp8+aFos777oNf/QqGDAnFOdLW2Gsv+PKX4Y9/hKqqtNNoSyxZAv/5D5x++pq2NZIkSZIKU6tmHZhe1ZKSqnfSjtLo1dbWwueP8llFcw7a8aK04xQsCzQkqdD89a+wdCmvnH7wF4uy1eKktjbMoHHUURBlr6uKJKlAHX00tGhhm5NC9eGHcMABMHZsaEvxox85flDDufJKmDkTHngg7STaEv/5DyxfbnsTSZIkqbGoLduLrmXLWLR8RtpRGrVRH9xE56aVNGt7JkVFlhFkintWkgpJRQX8/vdwzDHM6tVxzfIsfdjx1lswfz4MGJCd7UmSClvTpnD88fDoo1BTk3YaNaRRo0Jxxuefw/PPw1e/mnYiFZqjj4Y99oCbboI4TjuN6uvOO8OMfAcckHYSSZIkSdnQveOJFEcw5hN7VaZp8tSb+XxlxHF9bkw7SkGzQEOSCsndd8OcOfCDHxDHMe+s+oo6ZKdCY8SIcG2BhiSpoZx2GsydC//7X9pJ1FCGDAkfnnfuDGPG+AGsMiOK4Ior4O23wwxvSeyxxx5fXJSejz6Cl1+GCy5wVh1JkqRc5vhZDWn/HS5gZS1Mn/PftKM0Wh/PfokeZbOYV3wgzUvbpB2noFmgIUmFoqYGfvc72G8/OPxwYmLmr/oiS32bR46E3XaDLl2ysz1JUuEbOBCaNbPNSSGorQ1tTC64AA4/HF55BXr2TDuVCtmZZ0LHjmEWjSTat2//xUXpuesuKC6Gs89OO4kkSZI2xfGzGlLLpu2ZXtWKkpXvph2l0XpxwhUAHLnXrekGaQQs0JCkQvHoozBxIlx99XqnmkVZOPWsshJefBGOOirjm5IkNSLl5XDssaFAo7Y27TTaUitWwBlnwG9+AxddBE89BW3apJ1Kha6sDC69FJ5+Gt71Pb68UFMTJgU89tgwy44kSZKkxiMu25uuZctYuGxa2lEanSUV8+gQj+PTqq70aL9f2nEKngUaklQI4hiuvx522glOOWXVojXNtiMyX6AxenT48MUCDUlSQzvtNJg5E159Ne0kSqqmBp58Eq67Du65J8yY8Z//wI03wt//Dk2apJ1QjcW3vhVm4bnllrSTKIlnnoEZM8JMO5IkSZIal+07nkRxBGM+uT3tKI3OU29eQcuSmJ22/0HaURoFCzQkqRCMGgXjxsFVV4X5gIGYOgUaWZhBY8SIsOnDDsv4piRJjcygQVBaCg89lHYSJVFTA8ccE2bM+NnP4NxzwzDlwQfDUCULwxLpC+3awXnnhUKh2bPTTqPNGTIE2rcPx31JkiRJjUv/Hc6nqhamz/1v2lEaldraWqoX/4fpFU35Uu/vpB2nUbBAQ5IKwfXXhwbb55zzxaI4jjlw1Vft1MzPCT9yJOy/P7RqlfFNSZIamVat4Oij4ZFHwqRRym3DhsGYMbB0afj3iuPQaqJZs7STqbG6/HJYuRL+/OdNr/fKK698cVH2zZ8Pjz8OZ50VivIkSZKU2xw/q6GVN23LjKrWlK58L+0ojcqLH/2Rrk0raNLmaxQVWTqQDe5lScp348eHuYC/+11o2nStH5Wt+qImsxEWL4bXXrO9iSQpcwYPhilT4PXX006izXnllVCcUVdFRRiySGnYaSc48UT4y19g+fKNr1dVVfXFRdn3r39BVRWcf37aSSRJkpSE42dlRNM+dClbzrylU9JO0mhMnHwjS6ojju9zc9pRGg0LNCQp391wA7RoERps17FWixMyO5f4889Dba0FGpKkzDnxRCgpsc1JrnvsMfjrX9dfXl4OffpkO420xpVXhhka/vnPtJNoY+68E/bZB/beO+0kkiRJktLSo+PJFEfw2ie3px2lUZg0dzQ9y6YzN9qP8qZt047TaFigIUn57NNPQ0P3Sy6BNm3W+lGcxTngR4yA5s3hgAOytklJUiPTti0ceSQ8/LBtTnLR3Llw+ulwyimw/fah7VmLFhBF4bp/fxg4MO2UaswOOQT69YNbbgmFxcot48eHywUXpJ1EktaIouiEKIr+sXjx4rSjpCCzJ/pIkrQx++94HlW1MHPusLSjNArPv3MFAIfu6ewZ2WSBhiTls5tvhuLi0Fh7HXVn0Mi0ESPg0EPtFS1JyqzBg2HiRHjnnbSTaLU4DrWiu+0GjzwCv/wljB0b2pzcfz9ce224Hj48DFmktERRmEXjo4/gySfTTqN1DRkSXkuccUbaSSRpjTiOh8ZxfHHr1q3TjiJJUqPRvLQN06vaUFb9XtpRCt6yigW0rxnDp5Wd6dXh4LTjNCoWaEhSvpo7F+64A77+dejadZOrRlHmznyYPh0++MD2JpKkzDv5ZCgqss1Jrpg5E049Ncyc0bMnvPkm/PjH0KRJKMYYNAh+8pNwbXGGcsFpp0H37qHGWbmjshLuvTcc49s6o64kSZLU6EVN+9ClbAVzl3yadpSC9tRbV9GqScyO21+VdpRGxwINScpXf/oTrFgB3//+Bn+crRYnI0eGaws0JEmZ1qFDmLHp4YfTTtK4xTH885+w++7w9NNw441hxozdd087mbRpJSXw3e/CCy/A66+nnUarDR0KCxbY3kSSJElS0LPTqRRF8Nont6UdpWDV1tZSufABZlSUcdjO30s7TqNjgYYk5aNly0KBxoknwq67bnCVbLU4GTECtt0W9twzK5uTJDVygwfDe+/B+++nnaRx+uwzOP54OPfc0NbkrbfgqqvCB99SPvjGN6BVK7jpprSTaLUhQ6BbNwu+JUmSJAX773AulTUwa97TaUcpWC9P/Dvdmq6gqPVgioosF8g297gk5aM77ginmf3gBxtdpe4MGhGZaXESx6FA48gjw5TzkiRl2imnhGtn0ciuOIbbbguzZLzwAvzhD/Dii9C7d9rJpPpp1Qouugj+/W+YOjXtNJo+PczEc845tkKSJEmSFDQrbcWMldvQtNqzczLlw09/w9LqiOP63JJ2lEbJj9MkKd+sXBlO+TvkEDjooFSjvP9+6D/v2W6SpGzp2jX8+bNAI3s+/RS+/GW4+GLYbz945x34v/+zOFP567LLwvUf/pBuDsE990BtLZx/ftpJJEmSJOWSqGlfOpdVMGfJJ2lHKThT5o2jZ+lnzGYfWjXrkHacRsm31CQp36w+3e/qqze5Wt0WJ1GUmRk0Ro4M1xZoSJKyafBgGD8ePvE1ekbV1oaOanvuCa+9Bn//e5g5a4cd0k4mbZ3u3eErXwmzwnz+edppGq84Du1NvvQl6NUr7TSSJEmScsmOXQZTFMFrE/+RdpSC89w7lxMBX9rjd2lHabQs0JCkfBLHcMMNoen78cdvZtWY11d9lXTNTGP4ESNgxx2hR4+MPLwkSRs0eHC4dhaNzPn4Yzj88DBTxpe+BBMmhBk0MlTzKWXdlVeG4ow77lizbN999/3iosx75RX46CNnz5AkScpXjp+VSf16fJ2KGpg1f3jaUQrKiqrP2ab6ZT6t7EjvToenHafRskBDkvLJ00/D22+H2TMSzCu+ZNVXcdOGb+hcXQ2jRsGAAQ3+0JIkbdL220O/fhZoZEJNTeikttdeoZXJXXfBU0+FGQekQtKvHxx6KPz+92FcC9CyZcsvLsq8IUOgvDzMZiJJkqT84/hZmdSstBUzVralWfWHaUcpKE+Nv5o2TWK23+57aUdp1CzQkKR8cv310K0bnHHGZlfNdIuTsWNhyRLbm0iS0jF4cGi7MXVq2kkKx3vvwcEHw1VXwdFHw7vvwrnnOmuGCteVV8KUKRZ7pWHZMnjwQfjqV6FFi7TTSJIkScpFxc32oWvTCmYttkijoSxbcC8zK0s5cter047SqFmgIUn5YswYeOEFuPxyKC3d7OpxXKdAg4b/ZGXkyPCBzRFHNPhDS5K0WavbnDzySLo5CsHKlfDrX0PfvjBxItx/Pzz2GHTpknYyKbMGDYLevcOsMXWGzsqChx6CpUttbyJJkiRp43bschoAYz+5PeUkhWH0xDvo3nQZtDiJogQztCtz3PuSlC9uuAHatIGLLkq0et0ZNDJhxIjwQU779hndjCRJG7TTTqENh2e+b5233oL+/eHHP4aTTw6zaJx+urNmqHEoKgq1z2PHwksvpZ2mcRkyBHr1gkMOSTuJJEmSpFzVr8dZVNTA7PnD045SEN795DqWV8PAvremHaXRs0BDkvLBhx/Co4/Ct78N9ejpd/iqr8pPKhs0zrJl8MortjeRJKVr8GB4+WWYOTPtJPmnqgp+9jPo1w9mzAiFLg8+CB06pJ1Myq5zzoF27cIsGs8///wXF2XOJ5+EiQHPP99iMEmSpHzm+FmZ1rRJC2asbEfzmo/SjpLXamqW8cr4M9mxdArLaUfLsjZpR2r0LNCQpHxw002hrclllyW+S5zBeZr/978wHfqAARnbhCRJm3XaaaEtwaOPpp0kv4wbB/vuC9deC2ecAe++C6eemnYqKR3Nm8O3vgVPPAHz56edpnG4664we8k556SdRJIkSVKuK262L12aVjJz0ftpR8lLixa9yOjR27N8wQNEEbQpXsjo0d1ZtOjFtKM1ahZoSFKumzkT7r47nGLWsWPiu9VtcRLRsKemjRgR6kWckliSlKbddoNddrHNSVIVFXDNNaGlycKF8OST8M9/htkDpMbsO9+BJk1gzJi0kxS+mprw0uboo6Fbt7TTSJIkScp1O3X9CgBjJ92ecpL8NGPGbVRXz6ekKHxeVBLVUl09nxkzbks5WeNmgYYk5brf/x6qq+HKK+t1t0zOoDFyJBx8cDjjUJKkNA0eDM8/D3Pnpp0k99TUhCKM666DG2+EvfeG66+HCy4Is2Ycf3zaCaXc0KkTfP3r8OabsHx52mkK23PPwWefhdpzSZIkSdqcfbc/kxU1MGf+M2lHkRqMBRqSlKs6dQpNma+/HmprYaedwrKUzZ0L48fDUUelnUSSpNDmpLYWHn887SS5paYGjjkGTj8dfvpTuPpqmDIFhg2D226D1q3TTijlliuuCDXR48alnaSw3XkntG0LJ52UdhJJkiRJ+aCsSXNmrmxPec3HaUfJSxXVK+q1XNlhgYYk5arZs5Mt24i1WpxEDdfi5LnnwvWAAQ32kJIkbbG994YddoCHHko7SW554gl46SVYtmzNspKS8AG0pPXtvjv06gVjx/r/JFMWLoRHH4Uzz4SysrTTSJIkScoXJc370blpJdMXTkg7St55bMpnAKysDd9X1MDilfD49JoUU8kCDUnKRfUoxNiYTLU4GTEinHW7774ZeXhJkuolisIsGiNHhg//GrvFi8PkW+ecA5WVa/9s+fIwC5akDTvwQFi6FN55J+0khemBB8JxyfYmkiRJkupjp65fBWDcpDtSTpJ/Kpe/TVUtPDodlqyEf0+Dr70KT0ydnHa0Rs0CDUnKNW++Cfvtt9UPU3cGjYY0YgQccUQ4C1eSpFwweHA4433o0LSTpGfmTLjmGujePVz36gXNmq29Tnk59OmTSjwpL/TsCR07wquvQoZqnRu1O+8Msx717Zt2EknS5sQ03EyskiRtrX49zmB5Ncxd8EzaUfLK4hWzOKxdBVNX9uQvZ8ec8OWYO8+Nqfh/MW9e8mba8Ro1CzQkKZc89BAcckiDvyMcNdAL60mTYPJkOOqoBnk4SZIaxH77wXbbNc42Jx9/DBdfDD16wI03wsCB8PrrMG4cHHQQtGgRZhlp0QL69w8/l7RhUQQHHABz5sCzz6adprC88044Lp1/ftjPkiRJkpRUk+KmzKzelvLaiWlHySvDxl9J8xLYdYdr0o6idVigIUm5oLYWfvYz+MpXwmllY8eG0/fWtaFlG5GJFicjRoRrCzQkSbkkisIsGs88A0uWpJ0mO8aNC8OGnXeGf/4TLrgAPvootBDYZx8oLobhw+H+++Haa8P18OFhuaSN23PPUNB0001pJyksQ4ZAkyZw1llpJ5EkSZKUj0qb70fnsio+WzA+7Sh5oba2lprFjzCtohkH7viNtONoHRZoSFLali4Nn7Bcey2cdx6MGgWdOsGsWWEmjbqXWbMSP2zdFidRA52mNmIEdO0KvXs3yMNJktRgBg+Gykr473/TTpI5cRyKUAYMCLOGPPtsaGcyZQr89a+w445rr19cDIMGwU9+Eq4tzpA2r7gY9t8//F9755200xSGlSvh3nvhxBOhffu000iSJEnKR727fQ2A1z+9M+Uk+eGVT26ja9MKmrQ+jaIiywFyjf8ikpSmKVPg4IPhscfg5ptDY+aysgZ56DiOeWXVV/Mdmm/149XWwnPPhdkznJZYkpRrDjoo1DcWYpuT6mp48EHYd1845hj44IPQzmTqVPj1r+s1wZakTTjwwAM58MADueiiA2nePAzPtfX++1+YOze0N5EkSVLhWD1+PvDAA9OOokZgn+2/yrJqmDfffpRJfDDptyyrhoF9fpd2FG2ABRqSlJb//S+c/jplSnjX8vLLG7zyoWrVV3HJ1p8y+9ZbMH++7U0kSbmpqAhOPRWGDYPly9NO0zBWrAgzY+y8M5x+enhet98OkybBVVdBq1ZpJ5QKS1lZGWVlZXTqVMYFF8B998HMmWmnyn933gmdO4cCM0mSJBWO1ePnsgY64VDalCbFTZlV3YEW8SdpR8l5Mxa9S/cmk5nJXrRq1iHtONoACzQkKQ233x7mJ99mGxgzBo49tsE30dAtTkaMCNcDBmz1Q0mSlBGDB4cihqefTjvJ1lm4MMyM0aMHfPvboSXAI4/Ae+/BhRc22GRbkjbhe98Ls9f86U9pJ8lvs2bBU0/BOedASUnaaSRJkiTls9Ly/elUtpKp899IO0pOG/H2lZQWQf9dfpV2FG2EBRqSlE3V1XDZZXDRRXDEEfDqq+G02AyI4zoFGjRMgcZuu4Wz3yRJykWHHgrt2uVvm5Pp08PMGN27w49/DPvsA6NGheHCKaeEWUIkZceOO8LJJ4dZbJYtSztN/rr3Xqipsb2JJEmSpK23S7fTAXj90ztSTpK7qmuqaF4xgk8r2rBnt0Fpx9FG+BafJGXLggUwcCD88Y9wxRWhrck222RsczExpau+aqtrt+qxKipCRxbbm0iScllJSShkePLJ8LcrX3zwQZgZo2dPuPVWOPFEGD8+tGs5/PAG74AmaSMqKyu/uABceWWY0ebuu1MOlqfiOLQ3OeigjNWkS5IkKUXrjp+lTOvb/SssrY6Yv2Bk2lFy1oh3f0370hradbgg7SjaBAs0JCkb3n8f+veHF18M71LedFNW5vg9aNXXsklbd9rf6NGwYoUFGpKk3Dd4MCxZAs8+m3aSzVs9M8Zuu8G//gUXXwwffwz33Qd77512OqnxGT169BcXCIUF/fvDLbeEWSBUP6+9Fl4GOXuGJElSYVp3/CxlWklxKbOrO9IynpR2lJw1fcZfWFhVxDF7Xpd2FG2CBRqSlGlPPRXe2f388zBPeZbeoazb4mRrjRwJxcVw2GEN9pCSJGXEkUdCmzbw8MNpJ9mwOA5Dg8MOgwMPhBdegJ/8BKZOhT/9KcyiISk3RFGYRWPiRBg6NO00+WfIEGjWDL761bSTSJIkSSoUZeX96Vi2ksnzxqYdJed8NOt5epbNZVGTQyhr0jztONoECzQkKVPiGG68EQYNgl69YOzYcBpetjbPmgKNiK2bG33EiFBj0qrV1qaSJCmzSktDi5DHH4eqqnSz1NSEdivXXRfy3HMP9OkDxx8PkybBzTeHwoxrr4Vtt003q6QNO+UU6NEjTICn5JYvh/vvh698xdcQkiRJkhrOLtudAcAbn96ZcpLc89K7PyAGjtjzd2lH0WZYoCFJmVBRAeeeC1dfDaedBv/7H3TvntUIdQs0tsaiRaG2ZMCABnk4SZIybvDg8Pdr1Kj0MtTUwDHHwOmnw09/Gj7kPeccWLkS7roLPvkELr8cWrRIL6OkzSspge99D156KbTsUDKPPhomELS9iSRJkqSG1Lf7YJZURyxYODLtKDlledUi2teO5dPKLvRov1/acbQZFmhIUkObOTPMW37PPeGU2QcfhPLytFNtseefh9paOOqotJNIkpTM0UeHwoc02pzU1sLrr4cPJUeNgmXLwvI4hqZN4be/DTWcpaXZzyZpy1xwAbRu7Swa9TFkSGjZdOihaSeRJEmSVEiKi0qYXd2JVvGnaUfJKU+/9UNaNYnp2f27aUdRAhZoSFJDGjcO+vWDd9+FRx4JTeWjrWsvsqXiuE6Lk63IMHIkNG8OBxzQEKkkScq8pk1Dh7HHHoPq6sxvb9Ys+Oc/4ayzoFOnMBS4555QrFFXZSW8/Xbm80hqWC1bwsUXw0MPweTJaafJfZMnh9cQ558PRb7rJEmSJKmBNWtxAB3Kqpk0d3TaUXLGkvn3MquyCYfvckXaUZSAL5UlqaHcfz986UvQpAm88kqYyzxFDdXiZMSIMCGIZ/pKkvLJ4MEwd27oMtbQqqrC7BjXXAN9+0LnzmFWjGefDbN33HNPKNhYt31JeTn06dPweSRl3mWXhWKDP/wh7SS57+67Q436ueemnUSSJElSIdp1uzMBePPTISknyQ3jPr2f7Zsupab8eIqLStKOowQs0JCkrVVbCz/6EZx5Juy/P4wdC3vtlXaqtWbQ2FLTpsEHH9jeRJKUfwYOhGbNGq7NycSJ8Oc/wwknQNu2cOSRod1B69bw61+HtiazZsG998LXvx6GBf37hyKNKArX/fuHXJLyT7du8LWvwe23w+LFaafJXbW1cNddMGAAdO+edhpJkiRJhWjv7U5mSXXEwkWj0o6SE8Z/fC0VNXD03jenHUUJWUYjSVtjyZIwn/nQoWHe4z/+MSenmoiof4uTmpo1fbabNAnfFxc3cDBJkjKkvDwUQzzySDjjvb7T7C9ZAs89B8OHh8ukSWH5DjvAOefAMcfAEUdAq1Ybvn9xcbjfsGEwfnyYOWPgQP+WSvnsyivhvvvgttvgqqvSTpObnn8+tDj59a/TTiJJkiSpUBUXlTC7uhOto8lpR0ndgqVT6Vb8AdNqenNsy55px1FCFmhI0paaNAlOPDFMMfHHP8J3vhNOkc0RW9PipKYmfPD0wgvh+x/9CB5/PHzQ5AdLkqR8MXhwKNAYPRoOPnjT69bWhkKK1QUZL78M1dWh0OPII+GKK8Lfxl69km+/uBgGDQoXSfmvb99QmPX738N3vxuKmLW2IUPCzEInn5x2EknSlooaqGWuJEmZ1LzlQWy78mE+nv0SO3U8JO04qXn6rSvoUgx79fx/aUdRPdjiRJK2xKhRsN9+MGNG+BTn0ktzqjgD1m5xEtUz27Bh8Oqr4YMpgKVLYcyYsFySpHwxaFD4APXGG+G66+DJJ0MR4mpz5qxpSdK5M+y7byhKXLw4nCn/3HOwYAE88USow6xPcYakwnTllaEN4H/+k3aS3LN4cWgrdcYZocWUJEmSJGXKrt3OAOCtyXelGyRFtbW1REuHMrWinP13+HracVQPzqAhSfX117/CZZfBTjuF1iY77ph2og2KiXme5wG4cNcL63XfN96AZcvWXrZsWTiz2LOAJUn5orw8tCB54olwKS+H3r3hqKPg2WfhzTfDeu3bw9FHhxkyjj4aOnVKN7ekdBx++OGbXWfgQNh559AK8Iwzcq5GO1UPPggrVsAFF6SdRJIkSdmQZPwsZcpe253Efz+KWFQ1Ku0oqXnhw1vpXFbFvObnpB1F9WSBhiQltXJlKMz429/g+OPhX//aeOP5HBNRv3eO33ln/WXl5dCnT8PkkSQpG4YNC7NArZ5UaunSUIQ4fjwccgj86lehKKNvXyhybkFJCRQVhZZHl1wCL74Ihx2WdqL01dSE4+1110H37uGYKkmSJEmZVFxUwpyaLrQpmkJtbS1FjfCNnU+m3ELHkoiBe12fdhTVU+P7bZWkLTFvHnz5y6E44wc/gMcfz/nijC1tcTJkCDz0EHTtCi1ahLMCW7SA/v3DGYOSpNwSRdEOURTdEUXRQ2lnyTVvvglVVWsvi6LQxuSFF8L1vvtanCGpfs4+G7bdNsyi0djV1IRCt699LbR+mTULjj127XZSkiRJkpQJ5S0Pon1pDRPnvJh2lKybOv8NepROY060L+VN26YdR/XkW5GStCmdOoVPcrbdNnySA3DXXVBcnGqsJGLqFGgknEHj+efD2YBf/jJMnAj33w/XXhuuhw/Pi6ctSXkliqI7oyiaE0XRhHWWHxtF0YdRFE2MouiaTT1GHMeT4jiuXy+rRqJv3zADVF3l5aHoUJK2VLNm8O1vh26HH36Ydpp0DRsGY8bA8uXh+6qq8P2wYenmkiRJklT4dtvuLADemnJ3ykmy77l3rqKkCA7e7bdpR9EWsEBDkjbkgw/g+uth9uz1f7ahZTkojmNarvqqXlG92fU/+ghOPRV69YJ//xuaNoVBg+AnPwnXFmdIUkbcBRxbd0EURcXAn4GBwG7AGVEU7RZF0Z5RFD25zqVD9iPnj4EDQzGGM0JJSmLJkiVfXDbn29+GsjK45ZYsBMthb74Jy5atvWzZstBKSpIkSYWtPuNnKRP27HYCi1dGLF70QtpRsqpy5XJaVb3ApIp27NJ5QNpxtAVK0g4gSTmhpiac6vX44/DYY6FaoQDsy74ALJ68GPbf+HoLFqwpwnjySWjTJjv5JKmxi+P4xSiKeqyzeH9gYhzHkwCiKHoAOCmO498Ag7ZkO1EUXQxcDNC9e/ctD5xniovDDFDDhoUPC/v0CcUZFh1K2pDXX3/9i9uHH374Jtft0AHOOQfuvhuuuy5MuNcY7b13KICr012R8vJwvJWkXBVFUTnwIvCzOI6fTDuPJOWr+oyfpUwoKipibk1XtimaSm1tLUWNpIftMxN+TtvSWppuc0naUbSFGsdvqiRtyIoVYV7ib3wDunSBgw+Gm2+G7t3hj3+EKVPSTrhV6rY42ZSqqjBzxpQpoTZlhx0ym0uStFldgc/qfD9t1bINiqKoXRRFfwP6RlH0ww2tE8fxP+I47hfHcb9tG9mniMXFzgglKTMuvxwqKuCvf007SXqmTIHa2jCbiDMVScq0hmgPuMoPgH9nJqUkScqm8laH0K60ho9mj0o7StbMnX0H86qKOXqPn6UdRVvIGTQkNS7z5oUpIh5/HJ55JjRLbtUqvIN40knhukCmj4jrnMYWEW1kHfjmN+GFF+Dee0ONiiQpdRs6aG+06i6O4/nANzMXR5K0IbvuCscdB3/+M1x9dWgR2JhMngw//CEcfTRceim89ZYzFUnKuLuAPwH/XL2gTnvALxMKm8dGUfQEUAz8Zp37XwDsBbwHNLKjtiRJhWmP7mcxf+IDvD3ln42i3ce704exQ9MFTImOoqS4NO042kIWaEgqfBMnhoKMxx+Hl18Op3h16wbnnReKMg4/HEo38oesY0eYPXv9ZXkgyQwaN9wAQ4bAT38KZ52VhVCSpCSmAdvV+b4bMCOlLJKkTbjyShgwAO67Dy68MO002RPHcNFFYdaM224LkxCecELaqSQVuoZoDxhF0RFAObAbsCKKoqfiOK7dwHqNskWgJEn5Zvcux/HE+0V8Xvli2lGy4tX3f0z3IhjQ96a0o2grWKAhqfDU1sLYsWuKMt57Lyzfay/48Y9DUcY++4R3Ezdn1qzMZk3Rww/DNdfA6afDz3+edhpJUh1jgZ2iKOoJTAdOB85MN5IkaUOOOCLMGnHzzXDBBcleYhSCO++EESNCexc/t5SUsg21B+y/sZXjOP4xQBRF5wHzNlScsWq9fwD/AOjXr1+yHrKSJCnrioqKmFfblbbRVGpraykqKko7UsYsqZhHR8YzZWV3vrzNXmnH0VawQENSYaiogOeeCwUZQ4fCzJlhXt1DD4WLL4YTT4SePdNOmVVrtThZ553icePg7LPhwAPDDBqN5Y1kSco1URTdDxwOtI+iaBrwsziO74ii6FJgOGFq5jvjOH43xZiSpI2IojCLxtlnw9NPh/YehW76dLjiijAR4cUXp51GkurXHvCLFeL4roaPIkmS0tCi1ZdoW/kvPpw1kl27fDntOBnz9FvfZ9uSmN7bfT/tKNpKFmhIyl8LFsBTT4WijKefhqVLoUULOPbYMEvGccdB27Zpp0zNxlqcfPZZmH64Y0d47LHG1ytbknJJHMdnbGT5U8BTWY4jSdoCX/sa/OAH8MMfhkLovn1DoUZxcdrJGl4cwyWXQHU13H47FPDJaZLyh+0BJUlq5Pbs/nXmfvwv3p5yd8EWaNTW1lKx8EFmUMbpO3077TjaShZoSMptnTrB7NlrL2vZEvr1gxdfhJoa6NwZzjorFGUccYQVB6vUnUFjtaVLQ3HG8uVhSuIOHVIIJkmSJBWQoiJo1gzeegvefhvKy6F/fxg+vPCKNO67D/77X7j1Vthxx7TTSBJge0BJkhq9XTsfw0fvFrGk8qW0o2TMmE/vZrumK5hZ+rWCbuPSWFigISl3VVWtX5wBsGQJzJkTTlM76aRQrOEfpE2KiKipgTPOgAkTwpuqu++edipJkiQp/w0bBrNmhdtxHIqix4wJywcNSjdbQ5o1Cy67DA46CC69NO00khoj2wNKkqQNKSoqYn68He2KPqO2trYgCxje/eRXdCmGY/f+XdpR1AAs0JCUrtra0HPjo4/g44/D9erL5Mkbv9+ECVmLmK/WbXFy1VXw5JPw5z/DMcekFEqSJEkqMG++GWaoq2vZMhg/vrAKNC69NDzPO+4ovJlBJOUH2wNKkqSNadnqULapvIf3Zw5n964D047ToGYv/pjuJZ8wtWZ3tinvlnYcNQALNCRlXhyHGS82VITxySdQUbFm3RYtYKedwqwYZ54J112XXu48F8cxlVQCMHFSMbfeCt/9Lnzb9mSSJEnSekpLS7fofn37hrYmS5euWVZWBn36NEyuXPDQQ/Dww/Db38Iuu6SdRpIkSblgS8fPUibstf3ZzP7oHt6Zek/BFWg88/YVbFcE++74i7SjqIFYoCGp4SxevH4Rxurbn3++Zr0mTaBXL+jdG447LhRk9O4dLp06QRStWdcCja0ymtEAjPnn1Rx/PNx0U8qBJEmSpBx10EEHbdH9Bg6E/v1DW5Nly8Ky6urwMqcQzJsH3/kO7LsvXHll2mkkKXuiKDoBOKFXr15pR5GknLSl42cpE3buNID3JxSxtPKltKM0qJraasqWP83kuBXnbT847ThqIBZoSNq8Tp1g9uy1l7VpAz/4wdpFGHPmrPl5FEGPHqHo4pxz1hRg9O4N3bsnnxO3Y8f1t92x49Y8m0ajbouT7baLuP9+pyKWJEmSGlpxMQwfDsOGhbYmnTqFl0qnnAKjR0Pr1mkn3Drf+x4sXAgjRkCJ7yJJakTiOB4KDO3Xr99FaWeRJEmbVlRUxIK4O+2LplJbW0tRUVHakRrEyPeup0NZNQtbnJN2FDUgX1pLCi1IPv88FFhs6LJugQTAokXwwx9C587h1LATT1xTgLHTTrDDDtC06dZnmzVr6x+jkaqoWFOg8f9+EtGyZYphJEmSpAJWXAyDBoULhJdERx0FZ5wBQ4fmb6H00KFw333wi1/AnnumnUaSJEmSNq5V68NoU3E37854ij27DUo7ToP4bNqfaFcccexev0o7ihqQBRpSoaqogLlzN150se6lqmrDj7PNNhvfxuef46f+uamiAsaOjaFD+L7DttGm7yBJkiSpwRx2GPz5z3DJJWE2jd/9Lu1E9bdoUci/115wzTVpp5EkSZKkTdt7+3OY+eHdTJh6b0EUaEyaO5oeZbOYEh9Es9JWacdRA7JAQ8oHG2ox0ro1XHfdxgsuPv98w4/VtGloEdKhQ5j9Yu+9w+0NXdq3h9LS0K5kQyzOyElxDBdcAAuBdh3aAVDxeUW6oSRJqbOHtiRt2rx587643b59+61+vIsvhnfegZtugj32gPPO2+qHzKorrwwvLYcODS8LJUmNiSf6SNq8hh4/S1trp46HM+GdYpZVvJx2lAbxwoTv0x04dI8b0o6iBmaBhpTUhookOnbcfAuOiopQLLGxy+LFm/756tYj61q8GC67DIqKYNtt1xRV7LffxgsuOnSA8vKNF1yoIFx7Ldx/P+z8i5jOcZiHeOHUhbBfysEkSamyh7YkbdqECRO+uH344Yc3yGPecgt88EGYiaJ3bzjooAZ52Ix75hm4887Q1XLffdNOI0mSpFyUifGztDWKiopYGG/PtsWfUltbS1FRUdqRtljFyqVsU/0Kk2s6MqDDwWnHUQOzQENaLY5Dm48VK2D58nBd9/a6xRkQln3rW5surthY65C6SkrCjBitWq25dO4Mu+wSbv/tbxu+39y50LZtKNLIpI4dN1ycopxz//3w85/DuefC3B1jlk9MO5EkSZLUeJWUwL//Df37wymnwNix0L172qk2bckSuOii8HL0pz9NO40kSZIkJde6zWG0XjGJd6YNZe/uJ6UdZ4s9/faPaNMkpnnnS9OOogywQEP1s6WzSNRHHENNTShsqHvp2xfqTJkFQJs28I9/bLyoou7tJD+P4/rnffjhtQsrtttuze11iy7Wvaz+eVnZpme12FiBRramDWvIf19lzCuvwPnnw6GHhv8WJ/9nze9z5NSUkiRJUiq22QaeeAIOOABOPBFeeglatEg71cZdcw189hm8/HLokClJkiRJ+WLv7c9jxgdDePeze/O6QGPR3LupikoYvNs1aUdRBligsSWyUaSwWhyvfenWbf1td+gAEyaEooaaGqiuXvs6ye2k625sFomrrlq/oGJrLkkLJRYtgq9+df3lRUXQrFm4NG++/u127Tb987q3V18PGLDhDBtqPyJl2aefwsknh/qgRx6xR7QkSZKUS3bZBR54AI4/Psx295//ZH4ixC3xwgvwl7/A5ZfDgQemnUaS0hVF0QnACb169Uo7iiRJSqh3p0N5++1illeMTjvKFhs/9VF6NP2cz4qPp7jIj/ILkf+qW2JjRQodOqxfULHupbZ28+vUvSQxZ07Ydpr+9rfwifDmLs2bJ1tvQ5eLNtIu/Z131i+qKC3d9IwU+cYWI9qExYth0KBQQ/Xkk6H+CCBmC2aEkSRJkpQRxx4Lv/sdXHEF/OIX4ZJLli+HCy+EHXeEX/4y7TSSlL44jocCQ/v167eRNyUlSVIuWkQPOhRPoqa2Oi8LHMZ9+FO6F8PRfW9JO4oyJP9+K3PZ4MGhKGBjl6KiTf88yfobawD7xz9CcXFocFtcvPbtDS3b0nU7d97w9pcuzdx+XW1jBRp77JH5bUO6RRK2GNFGVFeHSWQ++gieeQZ23nnNz+I6RV5RIRUsSZIkSXnqe98LE2Beey3svvuGJ4RMy09+Ap98As8/H859kCRJkqR81KbNEbRa/glvf/Y4fbcfnHacelm0fAZdiiYwtXoHjm69U9pxlCEWaDSkv/4189vYWIHGpZdmftuNnUUSyjFxDJddFgoz7rgDjjhinZ87g4YkSZKUU6IotBD56CM477wwW8W++6adCkaPhltvhW9/Gw47LO00kiRJkrTl+vQ4j2nv3c570/6VdwUaw8ZfSedi2H37H6UdRRmUgx1PldM2NGNEtmaRSHPbUg76wx9CXdjVV8MFF6SdRpIkSVISZWXw8MOw7bZw0kkwc2a6eSoqwuuJ7baD3/423SySJEmStLV6dTiYuZUlrFgyOu0o9VJbW0vt54/xWUUz+u9wftpxlEEWaGyJxlykMGtWOG2/7iVbM0ukuW0pxzz5JFx+OZxyCvzmNxteZ60WJ9jiRJIkScoVHTrAE0/AokVw8smhSCIt114LH3wAt90GLVuml0OSJEmSGsriqCcdS2ZRU1uddpTEXp74N7o2raCszVcpKvIj/ELmv+6WsEhBUoreegtOPx322QfuuQc29nfaFieSJElS7tp77zCef+01uOii8PI+215/HW64IcygcfTR2d++JEmSJGXCNm2OpGVJzPipj6QdJbEPP72BZdVw7N43pB1FGWaBhiTlkZkzYdAg2GabcMZdefnG143jmCWrvsqal2UvpCRJkpSHWrRo8cUlW045BX75S7j33lAokU1VVaEwo0MHuOmm7G5bkiRJ+S+N8bOU1D49Q4uQD6bdn3KSZKYvnMD2TaYwiz60atYh7TjKsJK0A0iSklm+HE48ERYuhJdegi5dNn+f13kdgE69O2U4nSRJkpTf+vXrl8p2f/QjmDABfvhD2G03OOGE7Gz3N7+Bt98Ohd9t2mRnm5IkSSocaY2fpSR6btufsZUlVFS8mnaUREa8fQXbF8EBO/867SjKAmfQkKQ8UFsL55wTpiC+/37o02fz96nb4iQiylw4SZIkSVssiuDOO2HffeHMM0OxRqa9/XaYueOss7JXECJJ+SaKohOiKPrH4sWL044iSZK2wOfRDnQsmU11TVXaUTapuqaK8srn+LRiG3bvOjDtOMoCCzQkKUfV1MCTT8J118HXvgYPPwy/+13yN1DjOk2so8gCDUmSJClXNWsGjz0GLVuG8f68eZnbVnV1aG3Sti38/veZ244k5bs4jofGcXxx69at044iSZK2QNttjqRFScz4qQ+nHWWTnplwHe1La2jf4cK0oyhLLNCQpBxUUwPHHANnnAE/+xk89BB07QqXXZb8MZxBQ5IkScofXbuGIo2ZM+G006AqQyd53XRTmJnvz3+Gdu0ysw1JkiRJSts+PS8A4INpD6ScZNNmzfwbC6qKOHrPX6QdRVligYYk5aD//hdeeQWWLoXVE2EsWgRPP12/x+m86mvJ/CUNnlGSJEkqJDNmzPjikpb99w/tTl54Af7v/9a8FmgoH3wQCsAHDw5FIJIkSdKWyoXxs7QpPdrvx+zKJlQuG5N2lI36cOZz7NB0Hp+XHkpZk+Zpx1GWlKQdQJIUzJgBzzwDw4fD44/DihVr/3z5chg/HgYNSvZ4cRyzMzsDsGDaAujXsHklSfkliqITgBN69eqVdhRJykkfffTRF7e7dOmSWo4zz4QJE+A3v4E994RLL22Yx62pCa1NysvhT39qmMeUJElS45Ur42dpU5ZEO9K5+AOqa6ooKS5NO856XnrvGnoUwZF73ZR2FGWRM2hIUkoqKmDECPj+92GvvcKUxuefD6NGwQEHQFnZ2uuXl0OfPskfv26LE0mS7KEtSfnjl7+Ek06C730Pnn22YR7zT3+C0aPh97+HTp0a5jElSYXI95MkSYWjXdsjKS+BN6b8O+0o61lWsYAO8Tg+repK93b7pB1HWWSBhiRlSRzD++/DrbfCwIHQti18+cvhDdL27eG3v4U33wwzaTz7LBxyCLRoAVEUrvv3D/dLvr01L6gjooZ/QpIkSZIyoqgI7rkHdtsNvvpVqHNy4hb55BP44Q/h+OPhrLMaJqMkSZIk5bp9e14IwIfTH0g5yfqefvsaWpbE7LDd5WlHUZbZ4kSSMmjhQhg5MrQtGT4cPvssLO/dG77xDTjmGDj88DA7xrqGD4dhw0Jbkz59QnFGcXEWw0uSJElKTcuW8MQTsN9+cOKJ8Oqr0KZN/R+ntja89mjSBP7+91AALkmSJEmNQfd2+/BKZROq4rFpR1nPsgX/YmVUyld3sUCjsbFAQ5IaUE0NjB27piBjzJjwhmirVjBgAPz4x6Eoo0ePzT9WcTEMGhQuW8IWJ5IkSVJ+69EDHn4YjjoKTj8dnnwSSur5Ts4//gHPPw+33x7aKkqSJElSY7K0qBddovdZWVNBk+KmaccBYOyn99G96TKmNzmVoiIbXjQ2FmhI0lb67LM1BRkjRsCiReGstP32CwUZRx8d2pM0aZLdXGu1OPE0OUmSJCkvHXoo/OUvcNFFcPXVcPPNye87dSp8//uhwOOCCzKXUZIkSZJyVfu2R9F8yfu8PvlBDtjx3LTjAPDWx9fRrRiO6VePF3gqGBZoSNIm1NSENiNvvgl9+4Y2I5WV8OKLa4oy3n8/rNulC5xySpgh46ijoF27dLM7g4YkSZJUGL7xDZgwAW65BXbfHS68cPP3iWO4+OJwfdtttjaRJEmS1Dj12+EbTHzrj3w0PTcKNOYtnUK34g+ZVrMLx7bYPu04SoEFGpK0ETU1odhizBhYtizMgFFeHm5XVUFZWTib7cILw3q77+6bnpIkSZIy43e/g/feg299C3beGQ45ZNPr3313KCj/05+StViUJK0tiqITgBN69eqVdhRJkrQVum2zF/+rLGVlPC7tKAAMH385XYuhzw4/TTuKUmKBhqRGa+VKmDsXZs2C2bPDpe7tCRPCZXWnkKqqcJ8TTwxvin7pS9C8ebrPYVPWanGClSOSJElSPispgQcfhAMOgFNPhdde23jhxYwZcPnl4TXLt76V1ZiSVDDiOB4KDO3Xr99FaWeRJElbZ3nRjnQvfp9hI0vo2vU77L7Tbyguzv4HPLW1tRQv+y9T4xac0/OMrG9fucECDUk5bUMtRoqLN75+dTXMmbPhgot1b8+fv+HHaNECOnYMBRnxBrqE9OsXZszIdbY4kSRJkgrLNtvA0KHQvz+cdBK8/HJ4/VJXHIeijIoKuOMOKCpKJ6skSZIk5YJFi16kZ5NPKQKaUMOcmX/h83n3sccej9CmzaFZzfL8B7fQqayK+c3Pz+p2lVss0JC0WfUtkmjI7R59dGgxsnw5NG0apvK97LIw80XdoovV1/Pnb7ioorw8FF106gS9e4czyTp1CstWL199u7w83OfJJ+GMM2Dp0rUfp0+fzD/3hhDHMfMJVSjlbcpTTiNJkiTltnbt2qUdIZHevcNMGgMHwtlnw8MPr12E8cAD8MQToSXKTjull1OSJEmFLV/Gz9KMGbdRRMUX35dE1VRXz+el8V+hqvxUOm2zLz3bH0zHVjtTlOEK90lTb6FDccTAPr/N6HaU2yzQkBJKq0ghF7Z9zDGhSGLZslCg0L9/6GW8OkMch7Ozli0LxQzLlq192dCyJOsuXgyVlWuyrFgB48fDBReE75s3X1NYsdNOoehiQwUXHTuuf1ZZEgMHhue67nMfOHCrd2vWvMM7AHTZsUvKSSRJkqTctueee6YdIbGjj4ZbboHvfhd++lP45S/D8jlz4P/+L7xu+d73Uo0oSZKkApdP42dpQ8rjObRY9jeqlsGH0+CNalhY3YwK2lFU2o0WzXemQ+s+9Nj2YLZr25fioq37WH3KvHH0LJvO5Nr9aF7apmGehPJS1gs0oig6Fvg9UAzcHsfxb9f5ebTq58cBy4Hz4jh+I9s5NyXtD8vT2nba209725srUkhj20VFoaVHZWVox1FZufbthlj2ySfw0kshB4QCilGjoFu3UJixbFmY3aK2NvlzKioKz6NFi3C9+tKyJXTuvOb7d96BV15Z+75RFN5ovPbaLSu6qI/i4rCfhw0LhSF9+mT//9zWqNviJCJKMYkkSZKkhvZ//xdeM/3qV7DrrtC6NVxzTSh0v+22/HndIkmSJEmZVFG9YoPLy7c5gWbtL2bagtdY8Pk7rFj5CUXMpGU0m3ZMo6TiVai4m8mz4cMaWLCyjOW0gZKuNG+2I+1a7033dgfQs/2BlDVpvtHt19Qs492Pr2HWjD/RJIKDd/l5Zp6o8kZWCzSiKCoG/gx8GZgGjI2i6Ik4jt+rs9pAYKdVl/7AX1dd54SaGuj/lZeZMOt9KiuhbBj0vB8uvzzzfV1ra8MZMp9+Sta3nfb2a2rg1lvXbLv0KehxH3z726uyxRDXhoy1taFwoLbO91/8fAvXmzwZXlgC1b3D9pYSvj/yqjBTQ00N1NRCbU1Yv6YmXFbfXm/ZqnU3uc6q2ytWwMKFQJ1tj1wIpQfUrygiqZKStS9VNVCz99rr1ALF3WCHnlBWtuZSWrr292VlUFoGZaVQ1nTVdVl43ChBvUCTt+H1eO1ZNErLYOVe8MBHDfq0N60LdOoCs4Ahb2Vxu1tpzrI5X9yOkuxwSZIkSXkjiuDPf4YPPgitTkpKYOXK8Lrs8suzc0KBJEmSJOW6x6ZXs28JlBVB02KoqIHKWhg1s5hf9BnEnt0GrXeflTUVfDr3NabOf4V5n7/NsuUfETOD5iygbTSbpivfgHn/YdY8mP4BzK8qYWncitrizpQ17UnblnvSte1+dGhazKSPLqBi5SJKi6AmhnmfnsOi8kdo0+bQFPaGckG2Z9DYH5gYx/EkgCiKHgBOAuoWaJwE/DOO4xh4NYqiNlEUdY7jeGaWs27QsGHwVnwv1cf8DYBK4APgkv9mKUBvvvigPuvbTnv7dbZdBXwEfO+5LG27jDCnSx3VwItAnbZVQdGqS5PMRspAbQYQnld1gvWmr7qsd8flDRzomLW/rQT+NAWY0sDbKXDOoCFJkiQVntJS+OY34eWXQ3EGhNkQx4wJ718MWv99RkmSJElqVIZOncINc+Cs7nByF3h0BvxrKuzaYTK/2Mh9mhQ3pXenQ+ndaf0iitraWqYtHM/kea8we9EbLF3+ETV8Rhnz2CZ6jxY178KiJ1m0CBatuk/Jqo9oiiOorp7PjBm3WaDRiGW7QKMr8Fmd76ex/uwYG1qnK7BWgUYURRcDFwN07969wYNuzJtvhpYSkpQPetCDJkVNKF1SmnYUSZIkKadNnjz5i9s9evRILUd9TZq0/rJly0KbRgs0JEmSlCn5On5W4/PmJW+u9f0JwJ1b8XhFRUV0b7cP3dvts8Gfz1nyCZPmvMTMheNosvQhWjBrK7amQpTtAo0NncIdb8E6xHH8D+AfAP369Vvv55nSty+UPXkQlW+s/GJZSQkccQRkuk5k6lQYNWrtApFsbTvt7af93OMYnn4a5swJGUpKoEMHOPbYZK068nXbdTN89hksWABt28J222Vv29o6bWa1Ybdtd2PhrIWwS9ppJEmSpNyVr28w9+0L5eWwdOmaZeXl0KdPapEkSZLUCOTr+FnKtA4td6RDyx2Bc3nj7Zl8vuDh9dapqF6R/WDKGdku0JgGbFfn+27AjC1YJzUDB8Iht57NmOfOZtmy8KZH//4w7FuZ7+1aUwPHPBamKs32ttPeftrPHaBmUJgidvz48EbXwIGNY9vKb88//3zaESRJkiRl0MCB4fXxuq+XBw5MO5kkSZIkNW6PTa9m3xIoK4KmxVBRA5W1MGp6DfvslXY6pSXbBRpjgZ2iKOoJTAdOB85cZ50ngEujKHqA0P5kcRzHM8kRxcUwfHg6H5anue20t5/2c1+dYdCgdKaITXPbkiRJkqTclQuvlyVJkiRJ6xs6dQo3zIGzusPJXeDRGfCvqbBrh8n8Iu1wSk1WCzTiOK6OouhSYDhQDNwZx/G7URR9c9XP/wY8BRwHTASWA+dnM2MSjfmD+sb83CVJkvJZFEUnACf06tUr7SiSpAbm62VJaniOnyVJ0tZ685I31/r+BODOdKIoh2R7Bg3iOH6KUIRRd9nf6tyOge9kO5ckSZJUyOI4HgoM7dev30VpZ5EkSZJyneNnSZIkZUJR2gEkSZIkSZIkSVL6orQDSJIkFTgLNCRJkiRJkiRJkiRJkjLMAg1JkiRJkiRJkrSK82hIkiRligUakiRJkiRJkiRJkiRJGWaBhiRJkiRJkiRJkiRJUoaVpB1AkpQ5nTt3TjuCJEmSlBccO0uSJEnJOX6WpC1jgYYkFbCdd9457QiSJElSXnDsLEmSJCXn+FmStowtTiRJkiRJkiRJkiRJkjLMAg1JkiRJkiRJkiRJkqQMs0BDkiRJkiRJkiRJkiQpw0rSDiBJypwPP/zwi9v2BJQkSZI2zrGzJEmSlJzjZ0naMhZoSFIBmzlz5he3HSRLkiRJG+fYWZIkSUrO8bMkbRlbnEiSJEmSJEmSJEmSJGWYBRqSJEmSJEmSJEmSJEkZZoGGJEmSJEmSJEl1RFF0QhRF/1i8eHHaUSRJklRALNCQJEmSJEmSJKmOOI6HxnF8cevWrdOOIkmSpAJigYYkSZIkSZIkSZIkSVKGWaAhSZIkSZIkSZIkSZKUYRZoSJIkSZIkSZIkSZIkZZgFGpIkSZIkSZIkSZIkSRlmgYYkSZIkSZIkSZIkSVKGRXEcp51hq0VRNBeYksKm2wPzUthuPnJfJeN+Ss59lZz7Kjn3VXLuq2TcT8mlta+2j+N42xS2m3VRFJ0AnAB8Dfg4hQj+f0jOfZWc+yo591Uy7qfk3FfJua+Sc18l49g5i1J679n/C8m5r5JzXyXnvkrOfZWM+yk591Vy7qvkcmr8XBAFGmmJomhcHMf90s6RD9xXybifknNfJee+Ss59lZz7Khn3U3Luq8Lnv3Fy7qvk3FfJua+ScT8l575Kzn2VnPsqGfdT4fPfODn3VXLuq+TcV8m5r5JxPyXnvkrOfZVcru0rW5xIkiRJkiRJkiRJkiRlmAUakiRJkiRJkiRJkiRJGWaBxtb5R9oB8oj7Khn3U3Luq+TcV8m5r5JzXyXjfkrOfVX4/DdOzn2VnPsqOfdVMu6n5NxXybmvknNfJeN+Knz+GyfnvkrOfZWc+yo591Uy7qfk3FfJua+Sy6l9FcVxnHYGSZIkSZIkSZIkSZKkguYMGpIkSZIkSZIkSZIkSRlmgYYkSZIkSZIkSZIkSVKGWaCxAVEUHRtF0YdRFE2MouiaDfw8iqLoD6t+/nYURfskvW+hSbCvzlq1j96OouiVKIr2rvOzyVEUvRNF0fgoisZlN3n2JdhXh0dRtHjV/hgfRdFPk9630CTYV9+vs58mRFFUE0VR21U/azS/V1EU3RlF0ZwoiiZs5Oceq1ZJsK88VpFoP3mcWiXBvvI4tUoURdtFUTQqiqL3oyh6N4qi725gHY9Xec7xczKOnZNz7JycY+dkHDsn59g5OcfPyTl+Tsaxc+Pg2Dk5x8/JOHZOzrFzco6fk3HsnJxj5+QcOyeT12PnOI691LkAxcAnwA5AKfAWsNs66xwHDAMi4ABgTNL7FtIl4b46CNhm1e2Bq/fVqu8nA+3Tfh45tK8OB57ckvsW0qW+zxc4AXiukf5eHQrsA0zYyM89ViXfVx6rku0nj1MJ99U66zba49Sq59sZ2GfV7ZbAR46tCuuScJzT6P+NE+4n/x4l31f+TdqC59uY/yYlGOc0+uNUPfaVx6rk+8pjVcJ9tc66jflY5di5wC8Jxzn+GyffV43+b1LC/eTfoy14vo3579Gq5+v4uWH2U6M/TtVjX3msSriv1lm30R6ryOOxszNorG9/YGIcx5PiOK4CHgBOWmedk4B/xsGrQJsoijonvG8h2ezzjeP4lTiOF6769lWgW5Yz5oqt+d3w92rTz/cM4P6sJMsxcRy/CCzYxCoeq1bZ3L7yWBUk+J3aGH+nNq3RHqcA4jieGcfxG6tuLwHeB7qus5rHq/zm+DkZx87JOXZOzrFzQo6dk3PsnJzj5+QcPyfj2LlRcOycnOPnZBw7J+fYuR4cPyfj2Dk5x87JOXZOJp/HzhZorK8r8Fmd76ex/j/mxtZJct9CUt/neyGhSmm1GHgmiqLXoyi6OAP5cknSfXVgFEVvRVE0LIqi3et530KR+PlGUdQcOBZ4uM7ixvR7tTkeq7ZMYz5WJeFxqh48Tq0tiqIeQF9gzDo/8niV3xw/J+PYOTnHzsk5dm44Hqe2TGM+ViXlsaoePFat4di5YDl2Ts7xczKOnZNz7NywPFbVX2M9TtWHx6p68Fi1Rr6NnUuytaE8Em1gWZxwnST3LSSJn28URUcQ/vgcUmfxwXEcz4iiqAPwbBRFH6yqCitESfbVG8D2cRwvjaLoOOAxYKeE9y0k9Xm+JwAvx3Fct5KwMf1ebY7HqnryWLVZHqfqz+PUKlEUtSC8WPheHMefr/vjDdzF41X+cPycjGPn5Bw7J+fYueF4nKonj1WJeKyqP49VOHYucI6dk3P8nIxj5+QcOzcsj1X10MiPU0l5rKo/j1Xk59jZGTTWNw3Yrs733YAZCddJct9Ckuj5RlG0F3A7cFIcx/NXL4/jeMaq6znAo4TpZArVZvdVHMefx3G8dNXtp4AmURS1T3LfAlOf53s660zd1Mh+rzbHY1U9eKzaPI9TW8TjFBBFURPCIPm+OI4f2cAqHq/ym+PnZBw7J+fYOTnHzg3H41Q9eKxKxmPVFmn0xyrHzgXPsXNyjp+TceycnGPnhuWxKiGPU8l4rNoijf5Yla9jZws01jcW2CmKop5RFJUSfrmfWGedJ4BzouAAYHEcxzMT3reQbPb5RlHUHXgEODuO44/qLC+Poqjl6tvA0cCErCXPviT7qlMURdGq2/sT/n/OT3LfApPo+UZR1Bo4DHi8zrLG9nu1OR6rEvJYlYzHqfrxOBWs+p25A3g/juObN7Kax6v85vg5GcfOyTl2Ts6xc8PxOJWQx6rkPFbVj8cqx86NhGPn5Bw/J+PYOTnHzg3LY1UCHqeS81hVPx6r8nvsbIuTdcRxXB1F0aXAcKAYuDOO43ejKPrmqp//DXgKOA6YCCwHzt/UfVN4GlmRcF/9FGgH/GXVcbU6juN+QEfg0VXLSoB/xXH8dApPIysS7qvTgG9FUVQNrABOj+M4Bvy9Wn9fAZwCPBPH8bI6d29Uv1dRFN0PHA60j6JoGvAzoAl4rFpXgn3lsYpE+8nj1CoJ9hV4nFrtYOBs4J0oisavWvYjoDt4vCoEjp+TceycnGPn5Bw7J+fYOTnHzsk5fk7O8XNijp0LnGPn5Bw/J+PYOTnHzvXj+DkZx87JOXZOzrFzYnk7do7C77YkSZIkSZIkSZIkSZIyxRYnkiRJkiRJkiRJkiRJGWaBhiRJkiRJkiRJkiRJUoZZoCFJkiRJkiRJkiRJkpRhFmhIkiRJkiRJkiRJkiRlmAUakiRJkiRJkiRJkiRJGWaBhiRJkiRJkiRJkiRJUoZZoCFJkiRJkiRJkiRJkpRhFmhIUh6KouiYKIr+F0XRuCiK3omi6K4oitqvs87foyg6uL73kyRJkgqJY2dJkiQpOcfPkpRZFmhIUp6JougrwA3AuXEc9wP6AB8DTddZtT/w6hbcT5IkSSoIjp0lSZKk5Bw/S1LmRXEcp51BkpRQFEXlwCfAgDiO393EersCv4jj+Kv1uZ8kSZJUKBw7S5IkSck5fpak7HAGDUnKL8cBbyUY6A4Ent6C+0mSJEmFwrGzJEmSlJzjZ0nKAgs0JCm/7A5MWP1NFEV/iKJoQhRFr66z3jGsPUhOej9JkiSpUDh2liRJkpJz/CxJWWCBhiTllxV1v4nj+DLgKmDa6mVRFDUH2sRxPCPp/aIoKomi6OYoim6KouiyTIWXJEmSssixsyRJkpSc42dJygILNCQpvwwHTo2iqAtAFEUR8GXgjTrrHAGMquf9vgU8HsfxlXEc/yGD+SVJkqRscewsSZIkJef4WZKyoCTtAJKk5OI4Hh9F0U+Ap6MoqgFWAuOAe+qsNhB4qJ732wf4a6bzS5IkSdni2FmSJElKzvGzJGVHFMdx2hkkSQ0oiqI3gP5xHK+sx31OAk4EFgC/ieN4QabySZIkSbnCsbMkSZKUnONnSdp6FmhIkiRJkiRJkiRJkiRlWFHaASRJkiRJkiRJkiRJkgqdBRqSJEmSJEmSJEmSJEkZZoGGJEmSJEmSJEmSJElShlmgIUmSJEmSJEmSJEmSlGEWaEiSJEmSJEmSJEmSJGWYBRqSJEmSJEmSJEmSJEkZZoGGJEmSJEmSJEmSJElShlmgIUmSJEmSJEmSJEmSlGH/H41z7QkoTr3iAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 2160x648 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(30,9))\n", + "\n", + "g=np.linspace(Grange.min(),Grange.max(),1000)\n", + "\n", + "ax[0].plot(Grange, num_even/p.N, 'bo-', ms=5, label=\"even\")\n", + "ax[0].plot(g, p.n_sc(g)/p.N, 'g-', lw=3, label=\"SC\")\n", + "ax[0].plot(Grange, num_odd/p.N, 'rs-', ms=5, label=\"odd\")\n", + "ax[0].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[0].set_xscale(\"log\")\n", + "ax[0].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[0].set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0].legend()\n", + "\n", + "ax[1].plot(Grange, -np.real(gap_even), 'bo-', ms=5, label=\"even\")\n", + "ax[1].plot(Grange, -np.real(gap_odd), 'rs-', ms=5, label=\"odd\")\n", + "ax[1].axhline(-np.real(gap_even)[0], c='k', ls='--')\n", + "ax[1].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax[1].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[1].legend()\n", + "\n", + "\n", + "ax[2].plot(Grange, -np.real(gap_even_odd), 'g^-')\n", + "ax[2].plot(Grange, -np.real(gap_odd_even), 'yh-')\n", + "ax[2].set_xlabel(r\"$G\\,/\\,G_c$\")\n", + "ax[2].axvline(1,c='grey',alpha=0.5, ls='--', lw=3)\n", + "\n", + "#ax[2].set_xscale(\"log\")\n", + "ax[2].set_yscale('log')\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"PL_Delta=Utilde=10_N=10.png\", dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2d909281", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "b1c6bee4", + "metadata": {}, + "source": [ + "## Estimating convergence of Hilbert space truncation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "971b6bfa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "35.50260591506958" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "step = 1\n", + "cuts = np.arange(10,50,step)\n", + "\n", + "num_even = np.zeros(cuts.size)\n", + "num_odd = np.zeros(cuts.size)\n", + "gap_even = np.zeros(cuts.size, dtype='complex')\n", + "gap_odd = np.zeros(cuts.size, dtype='complex')\n", + "gap_even_odd = np.zeros(cuts.size, dtype='complex')\n", + "gap_odd_even = np.zeros(cuts.size, dtype='complex')\n", + "\n", + "Grat=1.8\n", + "p = Parameters(Δ=1.5, N=10, Grat=Grat, ηtilde=1, Utilde=1)\n", + "\n", + "t1=time.time()\n", + "for i in range(cuts.size):\n", + " k = Kerr_2γ(Nfock=cuts[i], p=p) \n", + " num_even[i], num_odd[i], gap_even[i], gap_odd[i], gap_even_odd[i], gap_odd_even[i] = k.bd()\n", + "time.time()-t1" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ad64be81", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "c= 35 time= 5.626366138458252\n" + ] + } + ], + "source": [ + "t1 = time.time()\n", + "c = get_cutoff(p,c0=36,cmax=60,step=6,precision=0.01)\n", + "print(\"c=\",c,\" time=\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b26a8310", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1296x360 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,3,figsize=(18,5))\n", + "\n", + "ax[0].plot(cuts,num_even,'o-')\n", + "ax[0].plot(cuts,num_odd,'o-')\n", + "ax[0].axvline(c,c='r',ls='--',lw=2)\n", + "ax[0].set_xlabel(r\"$N_{cut}$\")\n", + "ax[0].set_ylabel(r\"$n\\,(\\,N_{cut}\\,)$\")\n", + "\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].plot(cuts[1:],(np.gradient(num_even,cuts)*100)[1:],'o-')\n", + "ax[1].plot(cuts[1:],(np.gradient(num_odd,cuts)*100)[1:],'o-')\n", + "ax[1].axvline(c,c='r',ls='--',lw=2)\n", + "ax[1].set_xlabel(r\"$N_{cut}$\")\n", + "ax[1].set_ylabel(r\"$\\partial_{N_cut}\\,n\\,(\\,N_{cut}\\,)$\")\n", + "\n", + "ax[2].plot(cuts[2:],(np.gradient(np.gradient(num_odd,cuts),cuts)*100)[2:],'o-')\n", + "ax[2].axvline(c,c='r',ls='--',lw=2)\n", + "ax[2].set_xlabel(r\"$N_{cut}$\")\n", + "ax[2].set_ylabel(r\"$\\partial^2_{N_cut}\\,n\\,(\\,N_{cut}\\,)$\");" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7aa3b8c2", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2edda78b", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Strucutral codes/Kerr resonator/__pycache__/kerrdpt_order1.cpython-39.pyc b/Strucutral codes/Kerr resonator/__pycache__/kerrdpt_order1.cpython-39.pyc new file mode 100644 index 0000000000000000000000000000000000000000..a80547ae87c62908255b5e771cebc67c27afc250 Binary files /dev/null and b/Strucutral codes/Kerr resonator/__pycache__/kerrdpt_order1.cpython-39.pyc differ diff --git a/Strucutral codes/Kerr resonator/kerrdpt_order1.py b/Strucutral codes/Kerr resonator/kerrdpt_order1.py index ee685981534d57e1d2113158032ed687bbacd152..1228fccd1c702c0fad5b12951e202e04efa70c30 100644 --- a/Strucutral codes/Kerr resonator/kerrdpt_order1.py +++ b/Strucutral codes/Kerr resonator/kerrdpt_order1.py @@ -130,6 +130,7 @@ def get_cutoff(p, c0=5, cmax=100, step=5, precision=0.005): c += step return np.inf + def map_cutoff(Utilderange, Δrange, Grange): """Create map with optimal truncations for a user-defined parameter range. @@ -150,4 +151,56 @@ def map_cutoff(Utilderange, Δrange, Grange): Grat=Grange[k] p = Parameters(Δ=Δ, N=10, Grat=Grat, ηtilde=1, Utilde=Utilde) C[i,j,k] = get_cutoff(p, c0=5, cmax=100, step=5, precision=0.005) - return C \ No newline at end of file + return C + + + + + +#Previous iterations +""" def get_cutoff_MK1(cuts, p, precision=0.01): + metric = lambda x1,x2 : ((np.abs(x1-x2)/np.abs(np.min([x1,x2])))<precision) + q = deque() + + k = Kerr_2γ(Nfock=cuts[0], p=p) + q.append(0) + q.append(k.bd()[0]) + + for i in range(1,cuts.size): + k = Kerr_2γ(Nfock=cuts[i], p=p) + ni = k.bd()[0] + μi = metric(ni,q.pop()) + q.append(μi) + print(q[0],q[1],i) + if (q.popleft())*(q[0])==True : + return i-1 + q.append(ni) + + if q[0]==True: + print("Carefull: Convergence on border") + return i + else: return np.inf + + + + +def get_cutoff_MK2(p, c0=5, cmax=100, step=5, precision=0.005): + metric = lambda x1,x2 : ((np.abs(x1-x2)/np.abs(np.min([x1,x2])))<precision) + k = Kerr_2γ(Nfock=c0,p=p) + nprev = k.bd()[0] + c = c0+step + while c<cmax: + k = Kerr_2γ(Nfock=c,p=p) + n = k.bd()[0] + if metric(n,nprev): + c -= step + while 1: + k = Kerr_2γ(Nfock=c-1,p=p) + if metric(k.bd()[0],n): c -= 1 + else: return c + else: + nprev = n + c += step + return np.inf """ + + \ No newline at end of file diff --git a/Strucutral codes/Liouvillian block diagonalization/__pycache__/block_diagonalize.cpython-38.pyc b/Strucutral codes/Liouvillian block diagonalization/__pycache__/block_diagonalize.cpython-38.pyc new file mode 100644 index 0000000000000000000000000000000000000000..2dc261615e6b1c565579cfd3646b16d294dacef4 Binary files /dev/null and b/Strucutral codes/Liouvillian block diagonalization/__pycache__/block_diagonalize.cpython-38.pyc differ