From c184e6f12e09fe56da925ccd7cdcc26007450217 Mon Sep 17 00:00:00 2001 From: cetin Date: Sun, 29 Oct 2023 11:51:36 +0100 Subject: [PATCH] added methods --- .vscode/settings.json | 5 +- B_tasks.ipynb | 65 ++-- B_updown.ipynb | 250 +++++++++++++- Projektpraktikum.code-workspace | 9 +- methods/__pycache__/adashof.cpython-310.pyc | Bin 0 -> 7514 bytes methods/adashof.py | 340 ++++++++++++++++++++ 6 files changed, 625 insertions(+), 44 deletions(-) create mode 100644 methods/__pycache__/adashof.cpython-310.pyc create mode 100644 methods/adashof.py diff --git a/.vscode/settings.json b/.vscode/settings.json index 60739cd..49a782e 100644 --- a/.vscode/settings.json +++ b/.vscode/settings.json @@ -1,3 +1,6 @@ { - "python.envFile": "/auto/work/cetin/LHCb/reco_tuner/env/tuner_env/envs/", + // "python.envFile": "/auto/work/cetin/LHCb/reco_tuner/env/tuner_env/envs/", + "python.analysis.completeFunctionParens": true, + "python.analysis.enablePytestExtra": false, + "python.analysis.extraCommitChars": true, } \ No newline at end of file diff --git a/B_tasks.ipynb b/B_tasks.ipynb index 80e46ac..f24e98a 100644 --- a/B_tasks.ipynb +++ b/B_tasks.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -30,7 +30,7 @@ "9056" ] }, - "execution_count": 2, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -60,7 +60,7 @@ "0.8606728758791105" ] }, - "execution_count": 3, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -135,7 +135,7 @@ "0.9533333333333334" ] }, - "execution_count": 4, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -188,7 +188,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -204,7 +204,7 @@ "0.96875" ] }, - "execution_count": 5, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -225,7 +225,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -234,7 +234,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -243,7 +243,7 @@ "0.8603431839847474" ] }, - "execution_count": 7, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -266,7 +266,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -287,7 +287,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -328,7 +328,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -357,7 +357,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -389,7 +389,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -398,7 +398,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 31, "metadata": {}, "outputs": [], "source": [ @@ -436,19 +436,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, "outputs": [], - "source": [] + "source": [ + "#from methods.adashof import move_sn_y" + ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -459,6 +461,7 @@ ], "source": [ "fig, ((ax0, ax1), (ax2, ax3)) = plt.subplots(nrows=2, ncols=2, figsize=(15,10))\n", + "#fig.tight_layout()\n", "\n", "ax0.hist(scifi_fitpars_found[:,0], bins=100, density=True, alpha=0.5, histtype='bar', color=\"blue\", label=r\"$a_x$ found\")\n", "ax0.hist(scifi_fitpars_lost[:,0], bins=100, density=True, alpha=0.5, histtype='bar', color=\"darkorange\", label=r\"$a_x$ lost\")\n", @@ -488,6 +491,10 @@ "\n", "ax3.hist(scifi_fitpars_found[:,3], bins=500, density=True, alpha=0.5, histtype='bar', color=\"blue\", label=r\"$d_x$ found\")\n", "ax3.hist(scifi_fitpars_lost[:,3], bins=500, density=True, alpha=0.5, histtype='bar', color=\"darkorange\", label=r\"$d_x$ lost\")\n", + "\n", + "\n", + "#locs = move_sn_y(offs=-.05, side=\"right\")\n", + "\n", "ax3.set(xlim=(-5e-8,5e-8))\n", "ax3.text(-4e-8,3e8,\"d negligible <1e-7\")\n", "ax3.set_xlabel(\"d\")\n", @@ -504,7 +511,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 34, "metadata": {}, "outputs": [ { @@ -540,7 +547,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 35, "metadata": {}, "outputs": [ { @@ -549,7 +556,7 @@ "-4.6785491318157854e-07" ] }, - "execution_count": 16, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -560,7 +567,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -608,7 +615,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 37, "metadata": {}, "outputs": [ { @@ -635,7 +642,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -669,7 +676,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 39, "metadata": {}, "outputs": [], "source": [ diff --git a/B_updown.ipynb b/B_updown.ipynb index 4f543c7..480d54f 100644 --- a/B_updown.ipynb +++ b/B_updown.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -22,7 +22,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -31,7 +31,7 @@ "10522" ] }, - "execution_count": 2, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -50,7 +50,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -78,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -134,7 +134,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -206,7 +206,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -226,7 +226,7 @@ "" ] }, - "execution_count": 6, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -240,6 +240,200 @@ "cut_brem_found[1]\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### in magnet" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "inmagnet_found = ak.ArrayBuilder()\n", + "\n", + "for itr in range(ak.num(cut_brem_found, axis=0)):\n", + " \n", + " inmagnet_found.begin_record()\n", + " inmagnet_found.field(\"energy\").real(cut_brem_found[itr,\"energy\"])\n", + " \n", + " inmagnet_found.field(\"brem_photons_pe\")\n", + " inmagnet_found.begin_list()\n", + " for jentry in range(cut_length_found[itr]):\n", + " if (cut_brem_found[itr, \"brem_vtx_z\", jentry]>1500):\n", + " if cut_brem_found[itr, \"brem_vtx_z\", jentry]<=9500:\n", + " inmagnet_found.real(cut_brem_found[itr,\"brem_photons_pe\",jentry])\n", + " else:\n", + " continue\n", + " inmagnet_found.end_list()\n", + " \n", + " inmagnet_found.field(\"brem_vtx_z\")\n", + " inmagnet_found.begin_list()\n", + " for jentry in range(cut_length_found[itr]):\n", + " if cut_brem_found[itr, \"brem_vtx_z\", jentry]>1500:\n", + " if cut_brem_found[itr,\"brem_vtx_z\",jentry]<=9500:\n", + " inmagnet_found.real(cut_brem_found[itr,\"brem_vtx_z\",jentry])\n", + " else:\n", + " continue\n", + " inmagnet_found.end_list()\n", + " inmagnet_found.end_record()\n", + " \n", + "\n", + "inmagnet_found = ak.Array(inmagnet_found)\n", + "\n", + "\n", + "inmagnet_lost = ak.ArrayBuilder()\n", + "\n", + "for itr in range(ak.num(cut_brem_lost, axis=0)):\n", + " \n", + " inmagnet_lost.begin_record()\n", + " inmagnet_lost.field(\"energy\").real(cut_brem_lost[itr,\"energy\"])\n", + " \n", + " inmagnet_lost.field(\"brem_photons_pe\")\n", + " inmagnet_lost.begin_list()\n", + " for jentry in range(cut_length_lost[itr]):\n", + " if (cut_brem_lost[itr, \"brem_vtx_z\", jentry]>1500):\n", + " if cut_brem_lost[itr, \"brem_vtx_z\", jentry]<=9500:\n", + " inmagnet_lost.real(cut_brem_lost[itr,\"brem_photons_pe\",jentry])\n", + " else:\n", + " continue\n", + " inmagnet_lost.end_list()\n", + " \n", + " inmagnet_lost.field(\"brem_vtx_z\")\n", + " inmagnet_lost.begin_list()\n", + " for jentry in range(cut_length_lost[itr]):\n", + " if cut_brem_lost[itr, \"brem_vtx_z\", jentry]>1500:\n", + " if cut_brem_lost[itr,\"brem_vtx_z\",jentry]<=9500:\n", + " inmagnet_lost.real(cut_brem_lost[itr,\"brem_vtx_z\",jentry])\n", + " else:\n", + " continue\n", + " inmagnet_lost.end_list()\n", + " inmagnet_lost.end_record()\n", + " \n", + "\n", + "inmagnet_lost = ak.Array(inmagnet_lost)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "cutoff_energy=350\n", + "#possibly: instead of checking if any photons exceed the cutoff, use the sum of all photon energies to separate nobrem and brem\n", + "\n", + "inmagnet_brem_found = inmagnet_found[ak.sum(inmagnet_found[\"brem_photons_pe\"],axis=-1,keepdims=False)>=cutoff_energy]\n", + "magnet_energy_found = ak.to_numpy(inmagnet_brem_found[\"energy\"])\n", + "magnet_eph_found = ak.to_numpy(ak.sum(inmagnet_brem_found[\"brem_photons_pe\"], axis=-1, keepdims=False))\n", + "magnet_residual_found = magnet_energy_found - magnet_eph_found\n", + "magnet_energyloss_found = magnet_eph_found/magnet_energy_found\n", + "\n", + "\n", + "inmagnet_brem_lost = inmagnet_lost[ak.sum(inmagnet_lost[\"brem_photons_pe\"],axis=-1,keepdims=False)>=cutoff_energy]\n", + "magnet_energy_lost = ak.to_numpy(inmagnet_brem_lost[\"energy\"])\n", + "magnet_eph_lost = ak.to_numpy(ak.sum(inmagnet_brem_lost[\"brem_photons_pe\"], axis=-1, keepdims=False))\n", + "magnet_residual_lost = magnet_energy_lost - magnet_eph_lost\n", + "magnet_energyloss_lost = magnet_eph_lost/magnet_energy_lost" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "24784.620206013704" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ak.mean(magnet_eph_lost)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.hist(magnet_energyloss_found, alpha=0.5, bins=80, density=True, histtype='bar', color=\"blue\", label=\"found\")\n", + "plt.hist(magnet_energyloss_lost, alpha=0.5, bins=80, density=True, histtype='bar', color=\"darkorange\", label=\"lost\")\n", + "\n", + "#plt.vlines(ak.mean(both_eloss),0,3,colors=\"red\", label=\"mean\")\n", + "plt.xlabel(r\"Energyloss Ratio $E_\\gamma/E_0$\")\n", + "plt.ylabel(\"counts (normed)\")\n", + "plt.title(r'$B^0\\rightarrow K^{\\ast 0} e^+e^-$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n", + "plt.legend(title=\"LHCb Simulation\", title_fontsize=15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nstart = 0\n", + "nend = 5e4\n", + "plt.hist(magnet_residual_found, alpha=0.5, bins=70, density=True, histtype='bar', color=\"blue\", label=\"found\", range=[nstart, nend])\n", + "plt.hist(magnet_residual_lost, alpha=0.5, bins=70, density=True, histtype='bar', color=\"darkorange\", label=\"lost\", range=[nstart, nend])\n", + "\n", + "#plt.vlines(ak.mean(both_eloss),0,3,colors=\"red\", label=\"mean\")\n", + "#plt.xlim(0,50000)\n", + "plt.xlabel(r\"Residual Energy in magnet $E_\\gamma$\")\n", + "plt.ylabel(\"counts (normed)\")\n", + "plt.title(r'$B^0\\rightarrow K^{\\ast 0} e^+e^-$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n", + "plt.legend(title=\"LHCb Simulation\", title_fontsize=15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": 7, @@ -525,7 +719,7 @@ "outputs": [ { "data": { - "image/png": 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Z1M/v5HO86GczbbO3tzf+GUrbTT67eX4PnPdclvE7IMu9X38+k69tnvlst9vj514oFGb+jBYKhfH33rzPbJ7fnfPOd6lUSvL5/PjnsFKpXPj9DwBwlq0kSZLlpeUBAGD9FIvF6Pf7F7arVqvR6/Xi2bNnl7rPaDSKYrEYjUZj5er335R5nz0AACyTxDkAAEw4OjqK7e3tuWrD37t3L0ql0qVrmTMty7MHAIBleuOmBwAAAKtiMBhEPp8/ty70ZNvRaBR/9Ed/dA0j23xZnj0AACybxDkAAPw3hUJhrnaDwSA++uijiIjodrtRKpXmvpbZPD8AAFaJUi0AAAAAADDhd256AAAAAAAAsEokzgEAAAAAYILEOQAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJggcQ4AAAAAABMkzgEAAAAAYILEOQAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJggcQ4AAAAAABMkzgEAAAAWbDAYxNHR0U0PA4BLkjgH4JThcBij0eimhwEAAGtnOBxGtVqNYrEYrVbrpocDwCVJnANwSrVajZOTk5seBgAArJ18Ph/tdvumh3FlFtMAt53EOQBTqtVqDAaDmx4GAABwgyymAW47iXOAFdbpdOLevXuxtbU1Tmb3er2oVquxtbUV1Wo1IiJGo1EcHR1FsViMXq83/u979+5FtVqdWikyGo2iXq9Ho9GIer0eOzs749qLnU5nfJ96vT6VRO90OlEul8f937t3L+r1+rjfwWAQ1Wo1yuVy7OzsRKPROPV6Dg4OxvcuFotTNR/T11Aul+Po6CiGw2GUy+W4d+9elMvl8Ws4ODiInZ2duHfv3sx7AAAAV2MxDYDEOcBKq1Qq8cEHH0wdK5VK0Ww2p46lSfDBYBDNZjOOj4/j4cOHUSqVotPpRLFYHLf96KOPIpfLRbPZjFarFY1GY5yUrlQqUalUIiKi1WpFu92OQqEQnU4nGo1G9Hq9aLfbcXx8HPl8Pp48eRIRr5LmjUYj2u12dLvdaDab4yT55BgbjUa0Wq1oNpvRbDajXq9Hr9eLiIiTk5Po9/vje6Tt2u32+I8F9Xo9CoVCdLvdKJVKcXBwIKAHAODGpYtT0o+Dg4Nz2zUajSiXy+OFKalerxdbW1tTi2QGg0Hs7OzE1tZWFIvFqfg3XVCTllVJF9B0Op3o9XpRLBan+po1DotpAM6QALDS9vb2kohI+v3++NizZ8+SiEgqlcr4WLPZTCIiabVaU9eXSqUkIpJ2u50kSZLkcrlkb29vqk2z2Tx1v+Pj41NtIuLUtUmSJIVCYWp86X0iInn27Nl4HLlc7tRrmOyv3+8nEZHUarVT/b8+prTt5NgBAOC6HR8fJ7lcLul2u+NjaexcKBTGx/r9fpLL5abi5lardSqmTePxyf663e7MWLzVao2PHR8fJ5VKJYmIpFQqJXt7e0m/309qtdqpe1Qqlam+Wq3Whf8maLfbST6fH8fre3t7SaFQGL/Gfr+flEqlqfavx/Zpv6+/rvS1Hh8fj8c7+RrSdqVSKanVakm32516va//WwRgEaw4B9gw+Xx+6ut0BUi32x2fPzg4mFoFs7e3d2G/uVwuIiL+6I/+aOr4cDiMwWAQ+/v7Ua1Wxx+pdFV6u92Ofr9/6visDYfSe73+mra3t08dOz4+vnDsAACwLI1GI+7fvx+lUml8bFZ8/dFHH8X9+/ejUCiMj9VqtSgUCtFoNGI4HEbEl/F7q9UatyuVSpHL5aLT6Uz12e12x+3z+Xx8+OGHERFRLpej2WxGoVAY95P+eyAipla5p+O4SKVSGd8rfQdrv98fx/gfffTR1DtjK5VK5HK5ODo6Gsf8g8FgKta/f//+1Njy+fzU60lfQ6lUikKhEL1eLxqNRpRKpcjn8/Hw4cOZrwdgESTOATZcGpingXi73Y5cLheNRiN2dnYylzp5PamdXt9ut6c+nj17FkmSjP8BkcvlIp/PR6fTUTMRAICNMBwOx+VLLmo3GAymkuap1xPl+Xx+XC5xVj9pXD8ajWI0Gp1aOBNxOmaPiKmNPi2mAbiYxDnAhksDyzSozOfz8fTp0yiVSjEcDk/VFcwqDdzTz+e1KxaLMRwOo91uzxWYAwDAKktj4FnJ60nnLRpJV11PxtNpMj1Nnh8dHY33PkoT7I8fPz5Vu3xeFtMAXEziHGDDpStL0g1Ch8Nh5HK56Ha70W63IyKmNvTJKv1HwqwVMRFfvm2yXC7H9va2hDkAABsjTXZPruY+z3krqydXUqelU9IkeavVimazGaVSabzopdVqzVViZRaLaQAuJnEOsOLefvvtiJgOQiffnnmRTqcTuVxuHFS/XncwDcZfD3Ln6TsixqtHGo3GqRUjafCdvqV0cmVK2v+8/8gAAIBVky4imSw/MktaomVWLe40Lt7Z2Zk6XqlUotfrRafTifv370cul4t6vR6j0SgODg7GK9Uvw2IagItJnAOsuDTIbjQa0ev14ujoaJzs7vV6p+opTm4iNBqNotVqxaNHj8bHHj9+PJUkT+sipsFuGrC3Wq1xzca03eTnVC6XGwe+xWIxqtVqHBwcRLlcjuPj4yiVSuPVM51OJ46OjuLo6CgajUZEvHpbZ6fTidFodGYSfVaSPf1viXcAAG5Kmrye3ABzUnosrVs+WaM89eTJk6mFLqk0kV2tVsexc6VSiYhX/za4SqLbYhqAi0mcA6y4UqkUzWYzTk5OolqtxvHxcbRarcjn87G3tzcV9Ea8CsrTBPZHH30UrVZrHGBHvAruy+VyNBqNaDQa8emnn06tkKnValEoFOLx48fRbDajUqlEp9MZB9ONRuPU2zibzWY0m81xvcJWqxXVanU8tlwuF61WK3K5XDSbzfFrqNVqcXJyEp9++mkMh8Nx+6Ojo6l6jukKlTQQHw6H4388pH9MAACA6/b6IpJerzcVqw6Hw/EGnGld8cmE92g0imazGY8ePTpVN7xUKkUul4tSqTRVQ71SqYwT8a+bNwFtMQ3AHBIANkKz2UwiIul2uzc9FAAAuFVarVaSz+eTiEgKhUJyfHyc5PP5ZG9vLzk+Ph63e/bsWVKpVJJSqZTUarWkVqsl/X7/zH6bzeap8/1+P2m1Wqfa9vv9pFAoJBGR5PP5pNvtJs+ePUtqtVoSEUlEJM1mM0mSJCmVSuPx7e3tJZVKJXn27NlUf4VCIcnlckmtVkuSJEna7fb4Nebz+ZljaDab57ZptVpJLpcb3ztJkqRWqyW5XC7Z29tL+v1+UiqVkohIcrlc0m63x9elr6FSqST9fj85Pj5OKpXKuO2s8QBcxVaSJMkN5ewBWKCDg4NoNBrR7XbHb5UEAAAAILs3bnoAk0ajUezv70dEnCo9cJbBYBD7+/uRz+djNBpFuVyeKkmwyDYAAEA2YnwAANbRyiTOe71etFqt6HQ6pzbEOMtwOIxisRj9fn9c22tnZydOTk7GfSyqDcAqG41G0e12I+JV7UQrzgFYBWJ8AADW1cqVatna2oparTbehO485XI5ImKcLIp4tYlcvV6P9GUtqg3AKks3HJqUbs4DADdNjA8AwLr5nZsewGWNRqPo9XrjgDh1//79iHgVFC+qDcCq29vbO/UBAOtGjA8AwKpY28T5kydPIiIin89PHU/fhtntdhfWBgAAWD4xPgAAq2JlapxnNRwOIyIil8udeX5RbS7y//6//2/85Cc/iX/1r/5VfPWrX72w/Vm+8pWvxFe+8pVLXw8AwLTf/OY38Zvf/ObS13/xxRfxX/7Lf4k/+ZM/iX/xL/7FAkfGLKsS44vvAQBW13XF+JdKnD98+DC2trbif/6f/+dT554/fx5vvfXWZbrN5Pj4OCIitre3Z54fjUYLa3OR/+1/+9/if/wf/8cL2wEAsJ7++q//Ov77//6/v+lhLJUY/0viewCAzXdRjJ85cf7JJ59Es9kcb/Dzr//1v546/+mnn0av14v9/f3Mg81iZ2cnIiJOTk5mns/n8wtrc5H0GTx69Ci+9a1vXdj+LPOuSPn888/j/fffj5/97Gfx5ptvXvp+WT148CA++eSTa7vfbbnnTcznbXiuN3FPP5ubcz9zuTn3NJebdc/LzOdVV6P8wz/8Q3z00UenYt5NI8afdt3xfYTfV5t2TzH+5tzztvxsmsvluQ3P9rrvaS43656rHONnTpx//PHHUSqVotFojDv/n/6n/yn+l//lf4mIiO9+97sxHA7jxz/+cfzZn/1Z5oHPKw12z1otks/nF9bmInfv3o2IVzUT07qJy/T8+fOIiPj2t799LSt/Unfv3r2W13fb7nkT83kbnutN3NPP5ubcz1xuzj3N5Wbd8ybmMw3e03hvU4nxp113fB/h99Wm3VOMvzn3vC0/m+ZyeW7Ds73ue5rLzbrnKsf4l9octNPpxHe/+93x10dHR/H//D//z/jrUqkUzWbzMl3P7f79+xFxuj5h+nWxWFxYGwAA2HRifAAA+FLmxHk+n4+nT59OHfv6178+tbT93XffnWtTzavI5XJRKBSi2+1OHe/1ehER8cEHHyysDQAAbDIxPgAATMucOC+VSvHv/t2/i//9f//fIyLiP//n/xy//vWv4//+v//vcZv//J//86UGc94mPcPhMHZ2dsbBbsSrmoO9Xm8qgG82m9FsNiOXyy20DQAAbCoxPgAATMtc47xUKkWhUIhSqTQ+9u6778a/+3f/Lg4ODqJYLMZHH300V23wSYPBIFqtVkREPH78OMrlcpRKpXFQOxqN4uTkZCrwLhQK0e/3o9FoRD6fj+FwGI1GI2q12sLbAADAphLjAwDAtMyJ84iIbrcb1Wo1PvnkkyiXy/H48eP41//6X08FoXt7e5n6LBQK0Wq1xoH1rPPPnj2bebzdbl/Y9yLaAADAphLjAwDAly6VOI+IUwHoT3/606hWq/H06dMol8uxv79/5cGxWnZ3d91zQ9yW53ob5jLidjxbc+me6+a2PNfbMJe3jRj/9rktvztuw++r2/Jcb8NcRtyOeNtcuue6uS3P9TbM5by2kiRJbnoQ624wGESxWIx+vx+FQmHp93v+/Hl8/etfj1//+tfx1ltvLf1+LJf53BzmcnOYy81hLjfLTczndcd5rIabmHe/rzaL+dwc5nJzmMvNYS43yyrH+Jk3BwUAAAAAgE0mcQ4AAAAAABMuXeOc0x48eBB3796deW53d1eNIACAFXR4eBiHh4czz7148eKaR8MqEd8DAKynRcT4EucL9Mknn6h9CQCwZs5LgKb1D7mdxPcAAOtpETG+Ui0AAAAAADBB4hwAAAAAACZInAMAAAAAwASJ8zV0586d+MEPfhB37ty56aGwAOZzc5jLzWEuN4e53Czmk03m+3uzmM/NYS43h7ncHOZys6zyfG4lSZLc9CDWXVpQvt/v2zwIAGCDiPNuJ/MOALC55o31rDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwIQ3bnoAm+TBgwdx9+7dmed2d3djd3f3mkcEAMBFDg8P4/DwcOa5Fy9eXPNoWCXiewCA9bSIGH8rSZJkkYO6jebdiRUAgPUizrudzDsAwOaaN9ZTqgUAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAEyTOAQAAAABggsQ5AAAAAABMkDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwIQ3bnoAm+TBgwdx9+7dmed2d3djd3f3mkcEAMBFDg8P4/DwcOa5Fy9eXPNoWCXiewCA9bSIGH8rSZJkkYO6jQaDQRSLxej3+1EoFG56OAAALIg473Yy7wAAm2veWE+pFgAAAAAAmCBxDgAAAAAAEyTOAQAAAABggsQ5AAAAAABMkDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAE9646QFskgcPHsTdu3dnntvd3Y3d3d1rHhEAABc5PDyMw8PDmedevHhxzaNhlYjvAQDW0yJi/K0kSZJFDuo2GgwGUSwWo9/vR6FQuOnhAACwIOK828m8AwBsrnljPaVaAAAAAABggsT5HIbD4U0PAQAAWCAxPgAA51m5GueDwSD29/cjn8/HaDSKcrkclUrlwus6nU58+umnEfEqCH748OHUUvtyuRy9Xm/mtd1uN0ql0vjrra2tqfOFQiH6/f5lXg4AANx6YnwAANbNSiXOh8PhqfoyOzs7cXJyErVa7czrjo6OotVqjQPftJ92ux2lUimGw2EMh8NoNpuRy+XG1x0fH8fBwcFUQH10dBS1Wi12dnbGxybPAwAA8xPjAwCwjlYqcV6v16NUKk2tImk0GlGv188NqhuNRjx8+HD8dT6fj1KpFPV6PY6Pj6PX60W/358KqCPiVEAdEdFut6Pb7S7mBQEAwC0nxgcAYB2tTI3z0WgUvV4vyuXy1PH79+9HxKtVIrP0er0YjUaRz+enjpfL5RgOhzEYDKJWq50KqCMiPv7446hWq+OvO51OPHnyJKrV6pn3AwAA5iPGBwBgXa1M4vzJkycREaeC43RlylkrRNJNfV4Pmre3t6f6fd1oNIrBYBAffPDB+Fi3243RaBSdTifq9Xrcu3fvzJqJAADA+cT4AACsq5VJnJ8VHL9+/nVp8Pz6+bSf4+Pjmdc9fvw4CoXC1P1arVYkSRL9fj9qtdp446Kz7g0AAJxNjA8AwLpamRrnafCbBsmvG41GM4+nq1Xa7fbMGolvv/32zOva7XZ8+OGHZ/bZarWiXC5HtVqNRqMR7Xb7opcQn3/+eTx//vzCdme5c+dO3Llz59LXAwAw7eXLl/Hy5ctLX//5558vcDS3z7rH+OJ7AIDVc10x/sokztMd7k9OTmaef/3tnZPHa7VaHB0dxcHBQdRqtRgOh9FoNM68Lq212Gq1zh1TpVKJSqUSg8Fgrtfw/vvvz9XuLD/4wQ/ihz/84ZX6AADgS/v7+/GjH/3opodxa617jC++BwBYPdcV469M4jwNfs9adXJWUB3x6u2XOzs70e12o9vtRrVajfv378dgMIhSqXSqfa/Xi3w+f26fqXK5PHcNxJ/97Gfx7W9/e662s1iNAgCwWA8fPozvf//7l77+l7/85ZWTp7fZusf44nsAgNVzXTH+yiTO79+/HxGn6ximXxeLxXOv39vbi729vfHXW1tbUalUZtZT/Pjjj6NSqWQe20XefPPNeOutt+buFwCA5bpqqYw333xzgaO5fdY9xhffAwCsnuuK8Vdmc9BcLheFQiG63e7U8XQlyAcffDB3X9VqNSIiHj16NPN8p9M5s/bh67rdbtTr9bnvDQAAvCLGBwBgXa1M4jziVRDc6/WmVqQ0m81oNpvjVSXD4TB2dnbOfGvlwcFB9Hq96Pf7M1eidDqdcQA/aTAYRLFYjIODg6m229vbmVauAAAAXxLjAwCwjlamVEvEq53u+/1+NBqNyOfz4w2AarXauM1oNIqTk5NTdRIHg0E0Go3I5XLR7/fPrG348ccfz1zZks/nY3t7O/b396Pb7UahUIhyuXzh5kIAAMDZxPgAAKyjrSRJkpsexFUdHBxELpeLUqk012ZAi5auZOn3+6dWuQAAsL7EeTfnJmN88w4AsLnmjfVWasX5ZU1uGAQAAKw/MT4AADdppWqcAwAAAADATZM4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmbMTmoKviwYMHcffu3Znndnd3Y3d395pHBADARQ4PD+Pw8HDmuRcvXlzzaFgl4nsAgPW0iBh/K0mSZJGDuo0Gg0EUi8Xo9/tRKBRuejgAACyIOO92Mu8AAJtr3lhPqRYAAAAAAJggcQ4AAAAAABMkzgEAAAAAYILEOQAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJjwxk0PYJM8ePAg7t69O/Pc7u5u7O7uXvOIAAC4yOHhYRweHs489+LFi2seDatEfA8AsJ4WEeNvJUmSLHJQt9FgMIhisRj9fj8KhcJNDwcAgAUR591O5h0AYHPNG+sp1QIAAAAAABMkzgEAAAAAYILEOQAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJggcQ4AAAAAABMkzgEAAAAAYMIbNz2ATfLgwYO4e/fuzHO7u7uxu7t7zSMCAOAih4eHcXh4OPPcixcvrnk0rBLxPQDAelpEjL+VJEmyyEHdRoPBIIrFYvT7/SgUCjc9HAAAFkScdzuZdwCAzTVvrKdUCwAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJggcQ4AAAAAABMkzgEAAAAAYILEOQAAAAAATHjjpgewSR48eBB3796deW53dzd2d3eveUQAAFzk8PAwDg8PZ5578eLFNY+GVSK+BwBYT4uI8beSJEkWOajbaDAYRLFYjH6/H4VC4aaHAwDAgojzbifzDgCwueaN9ZRqAQAAAACACRLnAAAAAAAw4dYnzofD4U0PAQAAWCAxPgAAV7Vym4MOBoPY39+PfD4fo9EoyuVyVCqVC6/rdDrx6aefRsSrQPnhw4cza9RsbW1NfV0oFKLf71/5/gAAwGxifAAA1s1KJc6Hw+Gpwuw7OztxcnIStVrtzOuOjo6i1WqNg+O0n3a7HaVSaapdrVaLnZ2d8bHJ85e9PwAAMJsYHwCAdbSVJEly04NIlcvliIjodrvjY0dHR1Gv1+O8Yd67dy8ePnwYe3t742PVajUGg0EcHx9P9T/Z96LuP+9OrAAArBdx3tWtY4xv3gEANte8sd7K1DgfjUbR6/XGgW3q/v37EfEquJ2l1+vFaDSKfD4/dbxcLsdwOIzBYBARr97m+eTJk6hWqzP7uuz9AQCA2cT4AACsq5VJnD958iQi4lRwnGb9z1pFkm78k8vlpo5vb29P9dvtdmM0GkWn04l6vR737t2LXq935fsDAACzifEBAFhXK5M4Pys4fv3869Lg+fXzaT/p2zhbrVYkSRL9fj9qtdp4U6D0usveHwAAmE2MDwDAulqZzUHT4DcNkl83Go1mHk9Xi7Tb7Zmb+7z99tun2rdarSiXy1GtVqPRaES73b70/Sd9/vnn8fz58wvbneXOnTtx586dS18PAMC0ly9fxsuXLy99/eeff77A0dw+6x7ji+8BAFbPdcX4K5M439nZiYiIk5OTmedff3vl5PFarRZHR0dxcHAQtVothsNhNBqNc6+rVCpRqVTG9REve/9J77///oVtzvODH/wgfvjDH16pDwAAvrS/vx8/+tGPbnoYt9a6x/jiewCA1XNdMf7KJM7ToPWsVR/nBbWtVit2dnai2+1Gt9uNarUa9+/fj8FgEKVS6czryuXyuAbiVe6f+tnPfhbf/va3L2x3FqtRAAAW6+HDh/H973//0tf/8pe/vHLy9DZb9xhffA8AsHquK8ZfmcR5urP963UG06+LxeK51+/t7cXe3t74662trahUKmfWM3z9vle9f0TEm2++GW+99daF7QAAuB5XLZXx5ptvLnA0t8+6x/jiewCA1XNdMf7KbA6ay+WiUCic2tk+XS3ywQcfzN1XtVqNiIhHjx6d267b7Ua9Xl/4/QEAADE+AADra2US5xGvguBerze1IqTZbEaz2RyvKhkOh7GzszMOdl93cHAQvV4v+v3++JrBYBDFYjEODg7G7TqdTmxvb0elUsl0fwAAYH5ifAAA1tHKlGqJiCgUCtHv96PRaEQ+nx9vAFSr1cZtRqNRnJycnKpTOBgMotFoRC6Xi36/P1WvMJ/Px/b2duzv70e3241CoRDlcjlarVbm+wMAAPMT4wMAsI62kiRJbnoQV3VwcBC5XC5KpdJcm3guWrrapd/vR6FQuPb7AwCwHOK8m3OTMb55BwDYXPPGeiu14vyyJjcMAgAA1p8YHwCAm7RSNc4BAAAAAOCmSZwDAAAAAMAEiXMAAAAAAJiwETXOV8WDBw/i7t27M8/t7u7G7u7uNY8IAICLHB4exuHh4cxzL168uObRsErE9wAA62kRMf5WkiTJIgd1G827EysAAOtFnHc7mXcAgM01b6ynVAsAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMEHiHAAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGCCxDkAAAAAAEyQOAcAAAAAgAlv3PQANsmDBw/i7t27M8/t7u7G7u7uNY8IAICLHB4exuHh4cxzL168uObRsErE9wAA62kRMf5WkiTJIgd1Gw0GgygWi9Hv96NQKNz0cAAAWBBx3u1k3gEANte8sZ5SLQAAAAAAMEHiHAAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGCCxDkAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMOGNmx7AJnnw4EHcvXt35rnd3d3Y3d295hEBAHCRw8PDODw8nHnuxYsX1zwaVon4HgBgPS0ixt9KkiRZ5KBuo8FgEMViMfr9fhQKhZseDgAACyLOu53MOwDA5po31lOqBQAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGCCxDkAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMEHiHAAAAAAAJkicAwAAAADAhDduegCb5MGDB3H37t2Z53Z3d2N3d/eaRwQAwEUODw/j8PBw5rkXL15c82hYJeJ7AID1tIgYfytJkmSRg7qNBoNBFIvF6Pf7USgUbno4AAAsiDjvdjLvAACba95YT6kWAAAAAACYIHEOAAAAAAATJM7nMBwOb3oIV/LZ8y/ib//x1/HZ8y9ueigAALAS1j3GBwBguVYucT4YDKJarUaj0Yh6vR6dTmeu6zqdTjQajWg0GlGtVmMwGMxsUywWY2trK4rFYvR6vZl9bW1tTX1Uq9UrvaabdvTzYXzvL38RRz/3jwMAAK6fGB8AgHXzxk0PYNJwODxVmH1nZydOTk6iVquded3R0VG0Wq3o9/tT/bTb7SiVShERcXBwEN1uN+r1ehwfH8fBwUGUy+XodrvjNmlftVotdnZ2xscmz6+j9771jfjxL57Ge9/6xk0PBQCAW0aMDwDAOlqpxHm9Xo9SqTS1m2m6KuW8oLrRaMTDhw/HX+fz+SiVSuMAOiLi008/jW63O27z4YcfRrFYjGazORU0t9vtqXabYPt3vzL1GQAArosYHwCAdbQypVpGo1H0er0ol8tTx+/fvx8Rr1aJzNLr9WI0GkU+n586Xi6XYzgcxmAwiF6vF81mc+p8oVCIQqEwVduw0+nEkydPolqtnnk/AABgPmJ8AADW1cokzp88eRIRcSo4TlemnLVCJA2Kc7nc1PHt7e1xv6VS6VS/qcnj3W43RqNRdDqdqNfrce/evTNrJAIAAOcT4wMAsK5WJnF+VnD8+vnXpcHz6+fTftK3cZ7V5+SmQK1WK5IkiX6/H7VaLUaj0XhVCwAAkI0YHwCAdbUyNc7T4DcNkl83Go1mHk9Xq7Tb7Zk1Et9+++2Z13U6ncjn8zOvKRQK0Wq1olwuR7VajUajEe12+8LX8Pnnn8fz588vbHeWO3fuxJ07dy59/SJ89vyL+OyfX8Y7X7sT77z11RsdCwDAVb18+TJevnx56es///zzBY7m9ln3GH8T4nsAgE1zXTH+yiTO0x3uT05OZp4/722YtVotjo6O4uDgIGq1WgyHw2g0Gudet7+/f2GgXKlUolKpxGAwmOs1vP/++3O1O8sPfvCD+OEPf3ilPq7q6OfD+PEvnsaf/fG78eff+/0bHQsAwFXt7+/Hj370o5sexq217jH+JsT3AACb5rpi/JVJnKfB71mrTs4KjiNevf1yZ2cnut1udLvdqFarcf/+/RgMBlEqlU61bzQa8ejRo3P7TJXL5blrIP7sZz+Lb3/723O1nWUVVqO8961vxI9/8TTe+9Y3bnooAABX9vDhw/j+979/6et/+ctfXjl5epute4y/CfE9AMCmua4Yf2US5/fv34+I03UM06+LxeK51+/t7cXe3t74662trahUKqfqKR4dHUW5XB6//TPL2C7y5ptvxltvvTV3v6to+3e/MvUZAGCdXbVUxptvvrnA0dw+6x7jb0J8DwCwaa4rxl+ZzUFzuVwUCoXodrtTx9OVIB988MHcfaWbAT169GjqeKfTiYg4tULlvLdpdrvdqNfrc98bAAB4RYwPAMC6WpnEecSrILjX602tSGk2m9FsNserSobDYezs7Jz51sqDg4Po9XrR7/enVqL0er3Y39+PiFcrUtKPer0eT548icFgEMViMQ4ODsbXdDqd2N7ejkqlsvgXuyE+e/5F/O0//jo+e/7FTQ8FAIAVJMYHAGAdrUyplohXO933+/1oNBqRz+fHGwDVarVxm9FoFCcnJ6fqJA4Gg2g0GpHL5aLf70/VNhwMBlEulyMiZq4sefbsWUREbG9vx/7+fnS73SgUClEul6PVai3hlW4Om4kCAHAeMT4AAOtopRLnEa8C63a7fe75NAhOHRwcRC6Xi1arNXMzoEKhEEmSXHjv199CysVsJgoAwEXE+AAArJuVS5xfxuSGQVwvm4kCALAMYnwAAG7SStU4BwAAAACAmyZxfgv8X8NfTX0GAAAAAOBsEucbrvt3/xR/8ZO/j4iIv/jJ30f37/7phkcEAAAAALDaNqLG+ap48OBB3L17d+a53d3d2N3dveYRRfwfx7+K39mK+G0S8TtbEf/n8FdR/v1/ee3jAABYVYeHh3F4eDjz3IsXL655NKySVYzvAQC42CJifInzBfrkk0+iUCjc9DCmfGfn7firv3kaEa+S5/9d/u0bHhEAwGo5LwE6GAyiWCxe84hYFasY3wMAcLFFxPhKtWy48u//y/iPf/JvIiLiP/7Jv7lwtbl66AAAAADAbSdxfgv82/+2yvzfXrDaXD10AAAAAACJcyak9dAjvqyHDgAAAABw20icM/adnbfjt8mr/15GPfTPnn8Rf/uPv47Pnn+xlPbLHAsAAAAAcHtInDOWtR56RLaa6Ec/H8b3/vIXcfTz4Vzjydo+i2X2DQAAAACsN4lzpsxbDz0ie0309771janPF8naPssq8qx9AwAAAAC3h8Q5l5a1Jvr2735l6vNFsrbPsoo8a99KuwAAAADA7SFxzqUtuyZ6VstcRa60CwAAAADcHhLnXNplaqIvU9ZV5Fko7QIAAAAAt8cbNz0A1luWmujrbJlJ+Sw+e/5FfPbPL+Odr92Jd9766tr0DQAAAADrROJ8gR48eBB3796deW53dzd2d3eveUTchKwJ6Cztj34+jB//4mn82R+/G3/+vd+/0b4BYFMcHh7G4eHhzHMvXry45tGwSsT3AADraRExvsT5An3yySdRKBRuehjcsKwJ6Czt3/vWN+LHv3g6d8mYZfYNAJvivAToYDCIYrF4zSNiVYjvAQDW0yJifDXOYcGy1kPP0j5ryZhl9v3Z8y/ib//x1/HZ8y/mag8AAAAA60LiHBYsawJ6mfXTl9n30c+H8b2//EUc/Xy48L4BAAAA4CZJnHMr/V/DX019JrusK+sBAAAAYF1InN8CJ//fb6Y+r4tlJbe7f/dP8Rc/+fuIiPiLn/x9dP/unxba/22xzNXsAAAAAHCTJM5vgZ//w3+d+nxTsiTCL5Pcnrf//+P4V/E7W6/++3e2Iv5Pq84BAAAAgAkS57dA7b18/Kf/8MdRey9/YdtlrU7PmgjPmtzO0v93dt6O3yav/vu3ScR/l3/7wvEr7QIAAAAAt4fE+S3wzltfjT/45tfjnbe+emHbZa1Oz5oIz5rcztJ/+ff/ZfzHP/k3ERHxH//k30T59//luX0r7XJ1nz3/Iv72H38dnz3/4qaHAgAAAAAXkjhnSpbV6VlkTYRnTW5n7f/f/rfz/3aO1earVNol68r3LO2Xuar+6OfD+N5f/iKOfj5ceN8AAAAAsGgS50zJsjo9Yv7SLlkT4RHZktuX6X9elyntksW8CeusK9+ztF/2qvr3vvWNqc8AAAAAsMreuOkBbJIHDx7E3bt3Z57b3d2N3d3dax7R8k2WdrkoKZolEX4Zy+o/Tcr/xU/+fq6k/GQi/A+++fVz276esP69t3/3zP7Tle+/Tb5c+X7eWLK0z9p3Vtu/+5WpzwCwSg4PD+Pw8HDmuRcvXlzzaFgltzG+BwDYBIuI8SXOF+iTTz6JQqFw08O4VrX38vGnf/jNeOdrd256KEs1b1I+SyI8IlvC+js7b8df/c3TiJhv5XuW9ln7jsj2B4Jl+uz5F/HZP7+Md752Z+53SgDApPMSoIPBIIrF4jWPiFVxG+N7AIBNsIgYX6kWriRraZdNt8xNULOWo8nSftU2TM2ymaj66QAAAAAsmsQ5LNCyN0HNWo4mS/tV2jA1SzJc/XQAAAAAFk3iHBZo2Zugroplb5iaJRmufjoAAAAAiyZxDgu2jonwrC7zB4IslpkMz1IGBgAAAIDbSeKcW+nk//vN1Geyy/IHgsmNRG/aMmuiS8oDAAAAbAaJc26ln//Df536zPIseyPRrLKUgcmaCLdRKQAAAMBmkDhnZS1zVXjtvXz8p//wx1F7L7/wvpm27I1Es8pSBiZrItxGpQAAAACbQeKclZV1VXiWRPs7b301/uCbX4933vrqwvteV8t6jcveSHSZsibCbVQKAAAAsBkkzrk2WROzWVeFL7P8yqqUdsn6DLO0X9ZrXPZGosusn75Km5Qus3662uwAAAAA0yTOuTZZE7NZV4Uvs/zKMvteZnI7S/tlvsYsG4lmsWr107PIWgYma/ssyfBl9g0AAACwjt646QFskgcPHsTdu3dnntvd3Y3d3d1rHtFqqb2Xjz/9w2/GO1+7s5T+33nrq3Mn2ZfZd9ZV4ZPJ7YtKgmR9hlnaZ31+yyxfM7mK/A+++fUz26X103+bfFk/fdEr2pflvW99I378i6dzl4HJ2v7o58P48S+exp/98bvx59/7/RvrG2AdHB4exuHh4cxzL168uObRsErE9wAA62kRMb7E+QJ98sknUSgUbnoYK2uZie1VkiURHrHc5PYyn3nW1zmv11eR/97bv3tmMvw7O2/HX/3N04hYv/rpWcvAZG2fJRm+zL4B1sF5CdDBYBDFYvGaR8SqEN8DAKynRcT4EuewYFlXha/rHxSW9Q6CLKvI0/rpf/GTv5+7fvq8q9nX3TLrs9sEFQAAANh0apzDgmWtzb6ulvU6v7Pzdvw2efXf86wiz1I/fdk10Ze5Uem6Ug8dAAAAWEcrt+J8MBjE/v5+5PP5GI1GUS6Xo1KpXHhdp9OJTz/9NCIihsNhPHz48NTbKufp+7L3BxbjMqvI55W1JnqW1elZSszcJlnroX/2/Iv47J9fxjtfu7Pxf3wCuE3E+AAArJuVSpwPh8MoFovR7/fHAfHOzk6cnJxErVY787qjo6NotVrR7/en+mm321Eqlebu+7L3B86XdSPRLKvIs8hSEz1rInydNypdJhuPAiDGBwBgHa1UqZZ6vR6lUmlqFUmj0Yh6vX7udY1GIz788MPx1/l8Pkql0tR18/R92fsD55vcSPQmpavZI+LC1expIjziy0T4ebKWmFmlsi7LHMtlNh6d/AzA+hPjAwCwjlYmcT4ajaLX60W5XJ46fv/+/Yh4teJkll6vF6PRKPL5/NTxcrkcw+EwBoPBXH1f9v7AxWrv5eM//Yc/jtp7+YsbL9m8q9mzJsKzJOUvU2t9WcntVRpLhI1HATaNGB8AgHW1MonzJ0+eREScCo7TlSHdbnfmdcPhMCIicrnc1PHt7e1xv/P0fdn7Axdbxw1TsyTCU/Mm5bOuZl9mcvs6xrIsNh4FWH1ifAAA1tXKJM7PCo5fP/+6NHh+/Xzaz/Hx8Vx9X/b+wOZaZq31LKvZl5ncXvZYluno58P43l/+Io5+7vczwKoS4wMAsK5WZnPQ4+PjiPgySH7daDSaeTxdLdJut2du7vP222/P1fdl7z/p888/j+fPn1/Y7ix37tyJO3fuXPp6uI2ybjy6CtLV7H/xk7+fazV7lk1NI7JtVLrssSxT1o1HP3v+RXz2zy/jna/dWat3PwBX8/Lly3j58uWlr//8888XOJrbZ91jfPE9AMDqua4Yf2VWnO/s7ERExMnJyczzr7+9cvJ4rVaLXq8XBwcHMRqNYjAYRKPRGJ+fp+/L3n/S+++/H1//+tcv/bG/v3/hPeA2yJIMX5WNR7PKspo9a9mYrKvIlzmWVaqHboU63E77+/tXis/ef//9m34Ja23dY3zxPQDA6rmuGH9lVpynQetZqz7OC2pbrVbs7OxEt9uNbrcb1Wo17t+/H4PBIEql0ri24Xl9X+X+qZ/97Gfx7W9/+8J2Z7EaBV6ZTIZftJq49l4+/vQPvxnvfG2zf34uk9yedxX5ssbyesmY33v7dxc+liyyrFDPujrdanZYXQ8fPozvf//7l77+l7/8peT5Fax7jC++BwBYPdcV469M4jzd2f71OoPp18Vi8dzr9/b2Ym9vb/z11tZWVCqVyOVyc/V91ftHRLz55pvx1ltvXdgOOF+WZPg7b301U6JyHUu7XMay6rNnkaVkTGpyhfoffPPrCx1PlhXqRz8fxo9/8TT+7I/fjT//3u8vtP0yk/IS+HDaVUtlvPnmmwscze2z7jG++B4AYPVcV4y/MqVacrlcFAqFUzvb93q9iIj44IMP5u6rWq1GRMSjR4/m7nuR9weu5p23vhp/8M2vLyXxt8zSLrclKT+vrCVjsmxqumzpqvR566dnaZ+1ZEyW9srRAKtGjA8AwLpamcR5xKsguNfrTa0IaTab0Ww2I5fLRcSr1SE7OzvjYPd1BwcH0ev1ot/vj6+Zt+952gDrrfZePv7Tf/jjqL13cfmlrInwda23vixZ66GnK9QjvlyhflOy1k/P0n6ZSfmsfX/2/Iv423/8dXz2/Iu52gNchhgfAIB1tDKlWiIiCoVC9Pv9aDQakc/nYzgcRqPRiFqtNm4zGo3i5OTkVJ3CdLOgXC4X/X7/VL3Cefqepw2w3rKUdslSaz3i9tRbzyJLyZjv7Lwdf/U3TyNivhXqyyzrskzLTMpfZsPUZZWYAUiJ8QEAWEcrlTiPeBXYttvtc88/e/Zs6tjBwUHkcrlotVrnbvBzUd/ztgFuh6yJ8CxJ+ayr2ZdZBmZVSsxk2dR01TYeXVdZNkzNWvddoh2YJMYHAGDdrFzi/DImNwwCWJSsG49mkXU1e9b2WZLhy+w7q3lXqF9m41FOy1piZt4ke0T2RPuqWObmrcsciz9UsInE+AAA3KSVqnEOcFtkqbV+mfZZ6q0vs+9lybrxaMR0aReyy1oGJku99ay11pdZm32Zm7dmHfeqbAy7zPlRZx8AAFhVEucAN+Cdt74af/DNr8+9MjRr+yzJ8GX2vSxZNx59vbRL9+/+6dz2WZPskvKnZUm0r1Kyepmbt2Z9nauyMewy5ydr3xLtAADAdZE4B9hAWZPhy+p7Fcq6RHxZ2iXiy9IuZ8maZF+lpPy6JvBXKVm9zM1bs77OZW8MO+9zWeb8ZO17mSvrAQAAJkmcA7A0q1DWJSJbaZcsSfas7ZeZlM/a9ypZpWT1MmV9ncuU5bksc36WWQIIAADgKjZic9BV8eDBg7h79+7Mc7u7u7G7u3vNIwK4WbX38vGnf/jNeOdrd+Zqv6wV6mlpl7/4yd9fWNrlOztvx1/9zdOImK9+epb2WTc1zdL+MhumTq5Q/4Nvfv3ctutqlZLVq2Rdn8uyxn14eBiHh4czz7148WKh92K9iO8BANbTImJ8ifMF+uSTT6JQKNz0MABWxjtvfTVTuZjJFeqLXlE6b2mXLEn2rO2XmZTP2vfrK9R/7+3fPXfstyHJzu11XgJ0MBhEsVi85hGxKsT3AADraRExvlItAKyMVdh4NCJb/fQs7bNuapqlfda+l1liJmJ9660DAABAhMQ5ACtkmZuaroplJeWztl1m3fd1rre+Spu3ruvGsOs6bgAAgEkS5wCspWXVQ78tsqxQz5Jkj8ieaF9mQjmLVdq8dZU2hs3yvJc9bol2AADgukicA7CWJuuhcznLKjGTJdG+zIRyRLZEa9aEf5b2q9R3xPzPJevzXua41/mdDLAMnz3/Iv72H38dnz3/4qaHAgCwkSTOAVhLWeuhW6F+NVnKwGRJtC8zoZw10Zp1ZX2W9qvUd5bnknV+ljnuy/yBADbZ0c+H8b2//EUc/Xx400MBANhIEucArKWs9dCzrFCXZL+6eRPty0woZ020rtLmrauyMWzW+VnmuLOOBTbde9/6xtRnAAAWS+IcgFshywr1rGVgsiTasybll9n3KlhmQvkyidZV2bx1mX1neS5Z5yfrWJb1Tga4DbZ/9ytTnwEAWCyJcwBuhSwr1LOWgcmSaM+alF9m36tiWQllidbZsj6XrPOzTKs0FgAAYLO9cdMDAIBV885bX527BEzEq0T7n/7hN+Odr91ZaNtl972OK9SzkmidzXOB2+Wz51/EZ//8Mt752p1M/38DALjNJM4X6MGDB3H37t2Z53Z3d2N3d/eaRwTAdciSaM+alF9m35Mr1C+qkXsbkuzcXoeHh3F4eDjz3IsXL655NKySTYnvj34+jB//4mn82R+/G3/+vd+/6eEAACzdImJ8ifMF+uSTT6JQKNz0MABgLllWqGdJskdItLNezkuADgaDKBaL1zwiVsWmxPfvfesb8eNfPJ17I1Er1AGAdbeIGF/iHABuqSwr1LOWgcmaaF8Vq7R567puDLuu44ZNlnUjUSvUAQBsDgoAzCHL5qoR2TZYXaWE8ipt3rrMvlflGS5z3MDlpX/wXKc/fAIALJoV5wDAwmVZzZ51dXqW9ln7XqXNW5fZ96o8w9vyTgZYhv9r+Kvx5z/45tcX2nfWFeoAAJtI4hwAuFGrlFBepc1bl9n3qjzDZY4bNln37/4p/uInfx8REX/xk7+P33v7d6P8+//yRsaiHjoAsKkkzgGAG7VKCeXbYl2f4SqNBW7S/3H8q/idrYjfJhG/sxXxfw5/dWOJc/XQAYBNpcY5AADAGvnOztvx2+TVf/82ifjv8m/f2FjUQwcANpXEOQAAwBop//6/jP/4J/8mIiL+45/8mxtbbR6RvR76Z8+/iL/9x1/HZ8+/WGjby7QHADiPxDkAAMCa+bf/bZX5v51jtfnkRqI37ejnw/jeX/4ijn4+XGjby7TPQlIeAG4fiXMAAIAN9fpGot2/+6cLr1lmoj1LaZesZWCytM+aCF9mUh4AWE0S5wAAABsq3Ug04suNRM9zmUR7FllKu2QtA5OlfdZEeNYk/jJL0gAA1+ONmx7AJnnw4EHcvXt35rnd3d3Y3d295hEBAHCRw8PDODw8nHnuxYsX1zwaVskmxPff2Xk7/upvnkbEfBuJpon23yZfJtpvsob6srz3rW/Ej3/xdO5EeNYk/tHPh/HjXzyNP/vjd+PPv/f7C2sb8SrR/tk/v4x3vnYn3nnrqwtrCwCbZBExvsT5An3yySdRKBRuehgAAGRwXgJ0MBhEsVi85hGxKjYhvk83Ev2Ln/z9XBuJZk20r6usifCssiTmsybxl5mUB4BNsYgYX6kWAACADZZlI9E00R4RcyXaV2nj0VWyzJI0y6wTr2wMAHxJ4hwAAGDNnPx/v5n6vEjzJtqXXQ+d2ZaZlLcJKgB8SeIcAABgzfz8H/7r1OebkHXj0YhsK9Szrma3+v3qsqxQtzodgE0ncQ4AALBmau/l4z/9hz+O2nv5GxvDd3bejt8mr/57nnroWVaoZ13NvuzV77clKZ9lhbrV6QBsOolzAACANfPOW1+NP/jm1+Odt756Y2PIWg89ywr1rKvZs7bPkghXkmY29dMB2HQS5wAAAFxKlo1Hs6xQz7qaPUv7rIlwJWlmUz8dgE0ncQ4AALDBlrmRaBZZVqhnXc2epX3WRPg6l6RZlSR7RPYV6gBw0yTOAQAANljWjUSXmWjPskI9S9ss7bMmwte1JM1lSswsM9GeZYW6si4ArAKJcwAAgA2WdSPRrIn2dZM1ER6xniVpsiblV6mWu7IuAKwCiXMAAIANlnUj0ayJ9nWUdTV7FqtSkiZrUn6ZG6xmtcyNR61mB2Beb9z0ADbJgwcP4u7duzPP7e7uxu7u7jWPCACAixweHsbh4eHMcy9evLjm0bBKbmt8/85bX507yc5sq1CSJk2y/8VP/n6upPx3dt6Ov/qbpxGRfYPV33v7d+dauT+vy2w8+uNfPI0/++N348+/9/sLaxvxKtH+2T+/jHe+dsfPBcAaWUSML3G+QJ988kkUCoWbHgYAABmclwAdDAZRLBaveUSsCvH9xVZl41Fmy5KUz5JoT1en/zb5cnX6RYnzyRXqf/DNr2d4FRd771vfiB//4ulcK9SztI3InmgHYDUsIsZXqgUAAIBLWWY99KxJ+WUm8W/LHwiWtcHqsuunZ1mhnnU1e5ayMcrAAGwWiXMAAAAuJWs99CwJ6KxJ+WUm8Td9w9SsstZmz1o/fZVkSbRn3dRUoh1gtUmcz2E4tJM3AABsEjH+YmTdeDRLAjprUj5L+6wryJf5B4J1Xc2epQxM1hXq6yrrpqZZE+0AXK+Vq3E+GAxif38/8vl8jEajKJfLUalULryu0+lEt9uNXC4Xw+Ew8vl8NJvN8flyuRy9Xm/mtd1uN0ql0vjrra2tqfOFQiH6/f4lXxEAANxuYnxStffy8ad/+M1452t3LmybdZPSLO0nE/jzJDmzjiVL/1nHso6J9qwblS6zHvoyXaYMzLz11m1SCnD9VipxPhwOo1gsRr/fH2/Cs7OzEycnJ1Gr1c68rtPpxP7+/lTgWy6Xo9FoRLPZjOFwGMPhMJrNZuRyuXGb4+PjODg4mAqoj46Oolarxc7OzvjY5HkAAGB+YnwmZU1AL0uWBP6y+886liyJ9lVKss+7Qv31eui/9/bvSrRH9k1KsyTasybll90eYFWsVOK8Xq9HqVSa2rm+0WhEvV4/N6hutVpx//79qWPlcjlarVY0m83o9XrR7/enAuqIOBVQR0S02+3odrtXfzEAAIAYn5W07AR+lv6zjiVLon0dV7On9dB/m3xZD/28xHnWRHvWJPuqJOWzrE6PyJZoz5qUX2Z7SXZglaxMjfPRaBS9Xi/K5fLU8TRYPjo6OvPak5OTU2/RPD4+jnz+Vf25Wq12KqCOiPj444+jWq2Ov+50OvHkyZOoVqvn3g8AALiYGB8WL0td+ay12VdhE9Ss9dCzbDz6epK9+3f/dG7fWdsv02XKwEx+XlTbZbe3wSqwSlYmcf7kyZOIiHEgnEpXppy3QqRer8dwOBwHyIPBIB4/fjxV//B1o9EoBoNBfPDBB+Nj3W43RqNRdDqdqNfrce/evTNrJgIAAOcT48PNyrp56zI3WJ1XWg89Iuaqh54l0Z4lyX6Z9pOr029alkR71qT8Mtsvc4NVSXYgq5Up1ZLuaj9r1cjk+VlqtVr0+/04OjqKnZ2dyOfz8fTp0zP7ioh4/PhxFAqFqTatVitarVYMBoNotVpxdHQU5XJ5amXLeT7//PN4/vz5he3OcufOnbhzZzk19gAAbqOXL1/Gy5cvL339559/vsDR3D7rHuOL77ltlrnBahbz1kOPyLbx6Hd23o6/+punETHfavYs7S9Tm53TlrnB6irViQeu5rpi/JVZcX58fBwREdvb2zPPj0ajc69vtVpRKBRiOBxGr9e7cBVJu92ODz/8cOa5QqEQrVYr2u12RLyqwTiP999/P77+9a9f+mN/f3+u+wAAMJ/9/f0rxWfvv//+Tb+EtbbuMb74Hs6WtQzMMuunz5toz7qaPUv7rKvTI1Zrhfq6WpXV7ErMwPW6rhh/ZVacpzvcn5yczDx/0WqQcrkc9Xo98vl8VKvVqFar0W63o1KpnGqb1lpstVrn9lmpVKJSqcRgMJjrNfzsZz+Lb3/723O1ncVqFACAxXr48GF8//vfv/T1v/zlLyXPr2DdY3zxPZwt66amy1yhnkWW1exZ2mddzb7sTU05bZmr2Ze5eavV7HDadcX4K5M4T4Pms1adnBdU1+v1iHj1ds6IiKdPn8a7774bH3300cygutfrRT6fn6v8SrlcnrsG4ptvvhlvvfXWXG0BAFi+q5bKePPNNxc4mttn3WN88T0sTu29fPzpH34z3vnaZv5BKUvJmIgvV6j/NvlyhfpZ11ymDEyWRHvWpPxtSeIvs078qpSYgXV1XTH+ypRquX//fkScrnOYfl0sFs+8Nq1lmMrlctFsNsebA73u448/nhlsXzQ2AABgfmJ8IJVlo9JllnVZpiyr2Ze5qenrifbu3/3TQtpepn1EtpI0t6V8zaqUmFEyBs63MonzXC4XhUIhut3u1PF0JcgHH3xw5rXb29unVrGUSqVxv6/rdDpn1j58XbfbHa92AQAA5ifGBy5jsqzLpspSPz1Lkj0iW6I9a1J+lZL4t8VlVrNPfj7PMmuzZ03Kr0rfMGllEucREY8ePYperze1IqXZbEaz2RwHx8PhMHZ2dqbeWlmv1+Px48dTgXWn04lCoXDqrZqdTmccwE8aDAZRLBbj4OBgqu329namlSsAAMCXxPhAVsvceHSVVrMva1PTLIn2rEn5VUriR9yeFepZrMpq9qxJ+VXpW5KdSStT4zzi1U73/X4/Go1G5PP5GA6H0Wg0xnUNI17VRzw5OZkKoPf29iKXy0W1Wh0Hy6PRKH7605+eusfHH388c2VLPp+P7e3t2N/fj263G4VCIcrl8oWbCwEAAGcT4wNZLXPj0ayblK5Koj1LGZgs9daz1mbP2j7LpqmrtsHqMuvEr4pV2jB1Vfpedk15NejXy0olziNeBdbtdvvc88+ePTt1vFarTQXfZzmr71wud+otpAAAwNWJ8YFlyrLxaNZNSrMk2lclyR6RLdGepW3W9stM4i9zg9Us7Ze9eesqWeaGqavSd9akfNZEe5b2y0zKS/jPZ6VKtQAAAABkkWXj0SxtI7KVjbkNtdkvY1lJ/GVusLrMEjNZa7krR3O9lllTPmt75W5unsQ5AAAAwAxZEu3LrM3OacvcYHWZdeKzJNovs2GqRPv1Wvbq98nPi2y/Sgn/VU60S5wDAAAAXFHW1exZVqhLss+2rA1Ws7Rf5uatVrPfbutc7mby80WyJtqvk8Q5AAAAwDVbZhmYLIn225KUX2Yt98vUfY9Y/Er5VVrNnjUpvyp9c3XLLndznVZuc9B19uDBg7h79+7Mc7u7u7G7u3vNIwIA4CKHh4dxeHg489yLFy+ueTSsEvE9sEzvvPXVTLXWl7WpaZa2EdkT7ZL4p2VdKT/vhqnf2Xk7/upvnkbE/KvZ59lcNWK5G6auSt8R67tx6zrLmmif1yJifInzBfrkk0+iUCjc9DAAAMjgvAToYDCIYrF4zSNiVYjvgVWRJckekS3RvsykfNb2Wfu+DS6zmn2eRHuWJHtEtkR71qT8qvSdNckekT3RLjF/fRYR4yvVAgAAALBBstRbz1qbPesmqFna22D16pZV932ZG6auSt/Lrim/7Br0yyxJc1vL3UicAwAAADCXrIn2ZSbxl7nB6m0oMbOs2uyrtBnrqtSUz9p+lZLyt3nTWYlzAAAAANbOMjdYzdJ+mZu3rpJlbZi6Kn0vcxV+1varlJRfpU1nr5vEOQAAAABrJ8sK9VUqMbPMlfJczbJW4Wdtv0pJ+VUqd3PdJM4BAAAA2GirVGJmmSvluV6rsvp9mUn5VSp3c90kzgEAAADgmixzpfxtqM1+W6xKUn6ZfWdNtF83iXMAAAAAWEHL3DB1lWqzLzPh7w8Ep2VNyi+r78sk8a/TGzc9AAAAAADg6mrv5eNP//Cb8c7X7iy0bcR0ov29b33j3LZZk9VZ+s7SNmt7Sfbrt8wk/lVJnAMAAADABnjnra9mquM+b9uIbIn2rMntZSb8lzluq983m8T5Aj148CDu3r0789zu7m7s7u5e84gAALjI4eFhHB4ezjz34sWLax4Nq0R8DwBfypJoz5rcXmbCf5njvi2r31dpLPNaRIwvcb5An3zySRQKhZseBgAAGZyXAB0MBlEsFq95RKwK8T0AXE7W5PaqWOYq/Kztl7n6fZmldFYlyb6IGF/iHAAAAAAgo3Vd/b7MUjrLLndznSTOAQAAAABWyDJXvy+zlM6yy91cJ4lzAAAAAIA1tsw68csaR0T2RPt1kjgHAAAAAODarXI9/N+56QEAAAAAAMAqkTgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmPDGTQ9gkzx48CDu3r0789zu7m7s7u5e84gAALjI4eFhHB4ezjz34sWLax4Nq0R8DwCwnhYR428lSZIsclC30WAwiGKxGP1+PwqFwk0PBwCABRHn3U7mHQBgc80b6ynVAgAAAAAAEyTOAQAAAABggsQ5AAAAAABMkDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAE9646QFskgcPHsTdu3dnntvd3Y3d3d1rHhEAABc5PDyMw8PDmedevHhxzaNhlYjvAQDW0yJi/K0kSZJFDuo2GgwGUSwWo9/vR6FQuOnhAACwIOK828m8AwBsrnljPaVaAAAAAABggsQ5AAAAAABMkDgHAAAAAIAJtz5xPhwOb3oIAADAAonxAQC4qjduegCvGwwGsb+/H/l8PkajUZTL5ahUKhde1+l0otvtRi6Xi+FwGPl8PprN5ql2W1tbU18XCoXo9/tXvj8AADCbGB8AgHWzUonz4XB4akfTnZ2dODk5iVqtduZ1nU4n9vf3p4LjcrkcjUZjKrA+OjqKWq0WOzs742OlUunK9wcAAGYT4wMAsI5WKnFer9ejVCqNA9qIiEajEfV6/dygttVqxf3796eOlcvlaLVaU0F1u92Obre78PsDAACzifEBAFhHK1PjfDQaRa/Xi3K5PHU8DZaPjo7OvPbk5CR6vd7UsePj48jn8+OvO51OPHnyJKrV6sy+rnJ/AADgNDE+AADramUS50+ePImImAqEI2K8MuSiVSTD4TCq1WpEvKph+Pjx46mVKN1uN0ajUXQ6najX63Hv3r2pQPwq9wcAAE4T4wMAsK5WplTLcPhq5/tcLnfu+VlqtVr0+/04OjqKnZ2dyOfz8fTp06m+Wq1WtFqtGAwG0Wq14ujoKMrl8njVylXun/r888/j+fPnF7Y7y507d+LOnTuXvh4AgGkvX76Mly9fXvr6zz//fIGjuX3WPcYX3wMArJ7rivFXJnF+fHwcERHb29szz49Go3Ovb7Va8eTJkxgMBjEcDqPX60WlUjnVrlAoRKvVinK5HNVqNRqNRrTb7SvfPyLi/fffv7DNeX7wgx/ED3/4wyv1AQDAl/b39+NHP/rRTQ/j1lr3GF98DwCweq4rxl+ZxPnOzk5EvKplOMvrb698Xblcjnq9Hvl8PqrValSr1Wi32zMD64iISqUSlUolBoPBQu4fEfGzn/0svv3tb1/Y7ixWowAALNbDhw/j+9///qWv/+Uvf3nl5Olttu4xvvgeAGD1XFeMvzKJ8zRoPWvVx3lBbb1ej4hXb+eMiHj69Gm8++678dFHH50ZVEe8CsTTGohXuX/qzTffjLfeeuvCdgAAXI+rlsp48803Fzia22fdY3zxPQDA6rmuGH9lNgdNd7Z/vc5g+nWxWDzz2sePH483+Il4VcOw2WzGaDQarza56L5XuT8AAHCaGB8AgHW1MonzXC4XhULh1M726WqRDz744Mxrt7e3T60iKZVK437P0u12xytZrnJ/AADgNDE+AADramUS5xERjx49il6vN7UipNlsRrPZHAfHw+EwdnZ2xsFuxKu3cT5+/HgqsO50OlEoFCKfz8dgMIhisRgHBwdT57e3t6fe5jnP/QEAgPmJ8QEAWEcrU+M8IqJQKES/349GoxH5fD6Gw2E0Go1xXcOIV/UJT05OpgLovb29yOVyUa1Wx2/nHI1G8dOf/jQiXtUu3N7ejv39/eh2u1EoFKJcLker1cp8fwAAYH5ifAAA1tFWkiTJTQ9i3aWrXfr9/lQdRgAA1ps473Yy7wAAm2veWG+lSrUAAAAAAMBNkzgHAAAAAIAJEucAAAAAADBhpTYHXXcPHjyIu3fvzjy3u7sbu7u71zwiAAAucnh4GIeHhzPPvXjx4ppHwyoR3wMArKdFxPg2B10AmwcBAGwmcd7tZN4BADaXzUEBAAAAAOASJM4BAAAAAGCCxDkAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMEHiHAAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGDCGzc9gE3y4MGDuHv37sxzu7u7sbu7e80jAgDgIoeHh3F4eDjz3IsXL655NKwS8T0AwHpaRIy/lSRJsshB3UaDwSCKxWL0+/0oFAo3PRwAABZEnHc7mXcAgM01b6ynVAsAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMEHiHAAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGCCxDkAAAAAAEx446YHsEkePHgQd+/enXlud3c3dnd3r3lEAABc5PDwMA4PD2eee/HixTWPhlUivgcAWE+LiPG3kiRJFjmo22gwGESxWIx+vx+FQuGmhwMAwIKI824n8w4AsLnmjfWUagEAAAAAgAkS5wAAAAAAMEHiHAAAAAAAJkicAwAAAADABIlzAAAAAACYIHEOAAAAAAATJM4BAAAAAGCCxDkAAAAAAEyQOAcAAAAAgAkS5wAAAAAAMOGNmx7AJnnw4EHcvXt35rnd3d3Y3d295hEBAHCRw8PDODw8nHnuxYsX1zwaVon4HgBgPS0ixt9KkiRZ5KBuo8FgEMViMfr9fhQKhZseDgAACyLOu53MOwDA5po31lOqBQAAAAAAJkicAwAAAADABIlzAAAAAACYIHE+h+FweNNDAAAAFkiMDwDAeVYucT4YDKJarUaj0Yh6vR6dTmeu6zqdTtTr9Wg0GuPrZ7UpFouxtbUVxWIxer3ezL62tramPqrV6pVeEwAA3GZifAAA1s0bNz2AScPh8NSOpjs7O3FychK1Wu3M6zqdTuzv70e/3x8fK5fL0Wg0otlsRkTEwcFBdLvdqNfrcXx8HAcHB1Eul6Pb7UapVBpfd3R0FLVaLXZ2dsbHJs8DAADzE+MDALCOVipxXq/Xo1QqjQPqiBivSjkvqG61WnH//v2pY+VyOVqt1jio/vTTT6Pb7Y7Pf/jhh1EsFqPZbE4Fze12e6odAABweWJ8AADW0cqUahmNRtHr9aJcLk8dT4Plo6OjM689OTk59ZbM4+PjyOfzERHR6/XGwXWqUChEoVCYqm3Y6XTiyZMnUa1Wz70fAABwMTE+AADramUS50+ePImIGAfCqXRlynkrROr1egyHw3GdwsFgEI8fPx4H0qVS6VS/qcnj3W43RqPRuJbivXv3zqyRCAAAnE+MDwDAulqZUi3pqpBcLnfu+VlqtVr0+/04OjqKnZ2dyOfz8fTp0zP7muyzXq+Pv261WtFqtWIwGESr1Yqjo6Mol8tTK1vO8/nnn8fz588vbHeWO3fuxJ07dy59PQAA016+fBkvX7689PWff/75Akdz+6x7jC++BwBYPdcV469M4vz4+DgiIra3t2eeH41G517farXiyZMnMRgMYjgcRq/Xi0qlcmb7TqcT+Xx+Zl3FQqEQrVYryuVyVKvVaDQa0W63L3wN77///oVtzvODH/wgfvjDH16pDwAAvrS/vx8/+tGPbnoYt9a6x/jiewCA1XNdMf7KJM7THe5PTk5mnr9oNUi5XI56vR75fD6q1WpUq9Vot9tnBtb7+/sXBsqVSiUqlUoMBoM5XkHEz372s/j2t789V9tZrEYBAFishw8fxve///1LX//LX/7yysnT22zdY3zxPQDA6rmuGH9lEudp0HzWqpPzgur0rZjpypKnT5/Gu+++Gx999NHMoLrRaMSjR4/mKr9SLpfnroH45ptvxltvvTVXWwAAlu+qpTLefPPNBY7m9ln3GF98DwCweq4rxl+ZzUHv378fEafrHKZfF4vFM699/PjxeIOhiFc1FJvNZoxGo1MrSdKahpPt5x0bAAAwPzE+AADramUS57lcLgqFQnS73anj6UqQDz744Mxrt7e3T61iKZVK435TnU5n6lzqvLdpdrvdqc2FAACA+YjxAQBYVyuTOI+IePToUfR6vakVKc1mM5rN5jg4Hg6HsbOzM/XWynq9Ho8fP54KrDudThQKhfFbNXu9Xuzv70fEqxUp6Ue9Xh9vOFQsFuPg4GCqj+3t7XM3IAIAAM4mxgcAYB2tTI3ziFc73ff7/Wg0GpHP52M4HEaj0RjXNYx4VR/x5ORkKoDe29uLXC4X1Wp1/PbM0WgUP/3pTyPi1WqTcrkcETFzZcmzZ88i4tWqlv39/eh2u1EoFKJcLker1VrWywUAgI0nxgcAYB1tJUmS3PQg1l26kqXf72eqqwgAwGoT591O5h0AYHPNG+utVKkWAAAAAAC4aRLnAAAAAAAwQeIcAAAAAAAmrNTmoOvuwYMHcffu3Znndnd3Y3d395pHBADARQ4PD+Pw8HDmuRcvXlzzaFgl4nsAgPW0iBjf5qALYPMgAIDNJM67ncw7AMDmsjkoAAAAAABcgsQ5AAAAAABMkDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAEyTOAQAAAABggsQ5AAAAAABMeOOmB7BJHjx4EHfv3p15bnd3N3Z3d695RAAAXOTw8DAODw9nnnvx4sU1j4ZVIr4HAFhPi4jxt5IkSRY5qNtoMBhEsViMfr8fhULhpocDAMCCiPNuJ/MOALC55o31lGoBAAAAAIAJEucAAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAEyTOAQAAAABggsQ5AAAAAABMkDgHAAAAAIAJb9z0ADbJgwcP4u7duzPP7e7uxu7u7jWPCACAixweHsbh4eHMcy9evLjm0bBKxPcAAOtpETH+VpIkySIHdRsNBoMoFovR7/ejUCjc9HAAAFgQcd7tZN4BADbXvLGeUi0AAAAAADBB4hwAAAAAACZInAMAAAAAwASJcwAAAAAAmCBxvoZevnwZP/zhD+Ply5c3PRQWwHxuDnO5Oczl5jCXm8V8ssl8f28W87k5zOXmMJebw1xullWez60kSZKbHsS6m3cn1kV5/vx5fP3rX49f//rX8dZbby39fiyX+dwc5nJzmMvNYS43y03M53XHeayGm5h3v682i/ncHOZyc5jLzWEuN8sqx/hWnAMAAAAAwASJcwAAAAAAmCBxDgAAAAAAEyTOAQAAAABgwhs3PYBN8uDBg7h79+7Mc7u7u7G7u3vNIwIA4CKHh4dxeHg489yLFy+ueTSsEvE9AMB6WkSML3G+QJ988sm5O7ECALB6zkuADgaDKBaL1zwiVoX4HgBgPS0ixleqBQAAAAAAJkicM7ez3t7gnuvntjzX2zCXEbfj2ZpL91w3t+W53oa5hE13W3533IbfV7flud6GuYy4HfG2uXTPdXNbnuttmMt5SZwzt9vyw3obfkHclud6G+Yy4nY8W3PpnuvmtjzX2zCXsOluy++O2/D76rY819swlxG3I942l+65bm7Lc70NczmvlatxPhgMYn9/P/L5fIxGoyiXy1GpVC68rtPpRLfbjVwuF8PhMPL5fDSbzcx9X/b+AADAbGJ8AADWzUolzofDYRSLxej3++NNeHZ2duLk5CRqtdqZ13U6ndjf349+vz8+Vi6Xo9FojAPrefq+7P0BAIDZxPgAAKyjlSrVUq/Xo1QqTe1c32g0ol6vn3tdq9WK+/fvTx0rl8vR6XQy9X3Z+wMAALOJ8QEAWEcrkzgfjUbR6/WiXC5PHU+D5aOjozOvPTk5iV6vN3Xs+Pg48vn83H1f5f4AAMBpYnwAANbVyiTOnzx5EhExDoRT6cqQbrd75rX1ej2Gw2FUq9WIeFXD8PHjx+O3cM7T91XuDwAAnCbGBwBgXa1MjfPhcBgREblc7tzzs9Rqtej3+3F0dBQ7OzuRz+fj6dOn477m6fsq93/x4kVEvArmP//88zPbXeQrX/lKfOUrX7mwXXqPX/7yl/Hmm29e+n5ZvXjxIgaDwbXd77bc8ybm8zY815u4p5/Nzbmfudyce5rLzbrnZebzN7/5TfzmN7+59D3/4R/+ISK+jPfIZl1j/OuO7yP8vtq0e4rxN+eet+Vn01wuz214ttd9T3O5Wfdc6Rg/WRF7e3tJRCT9fv/UuYhI8vn8hX0UCoUkIpKISNrtdqa+r3L/v/7rvx7f14cPHz58+PDhw8fmffz1X//1hbEop61rjC++9+HDhw8fPnz42PyPi2L8lVlxvrOzExGvahnO8vrbK19XLpejXq9HPp+ParUa1Wo12u12VCqVufq+yv3//b//9/G//q//a/yrf/Wv4qtf/eq54zxPlhUpAABc7KqrUb744ov4L//lv8S///f/foGjuj3WNcYX3wMArK7rivFXJnE+ucnPeednqdfrEfHq7ZwREU+fPo133303Pvroo6hUKnP1fZX7/4t/8S/if/gf/oczzwMAwG20rjG++B4AgJXZHDTd2f71OoPp18Vi8cxrHz9+PN7gJ+JVDcNmsxmj0SgGg8FcfV/l/gAAwGlifAAA1tXKJM5zuVwUCoVTO9v3er2IiPjggw/OvHZ7e/vUKpJSqTTud56+r3J/AADgNDE+AADramUS5xERjx49il6vN7UipNlsRrPZjFwuFxGvVofs7OyMg92IV2/jfPz48VRg3el0olAojN9+OU/f87QBAADmJ8YHAGAdbf23HeVXxmAwiP39/cjn8zEcDqNcLo/rGqbnv/vd78ajR4+iUqmMjx8dHUW73R6/nXM0Gp0Khi/qe942N2lyfKPRKMrl8tRz4Pp1Op3Y39+PwWAQhUIhms3meDVUap55W1QbFqPX60W1Wo1nz55NHTeX62k4HEan04mIV7Vy0/83mM/V1+l0otvtRi6Xi+FwGPl8PprN5lQb87h6RqNR7O/vR0Scmq+I650z87oaxPjn8326esT4m0mMvznE9+tNjL+ebmWMn7A2jo+Pk4hI+v3++Fg+n09ardYNjup2azabSalUSlqtVrK3t5dERBIRSbfbHbeZZ94W1YbFyefzSS6XmzpmLtfP8fFxUqlUklKplBwfH586Zz5XW7vdTgqFwtSxUqmU7O3tjb82j6un2+0mlUoliYikVqudOn+dc2ZeWQe+T1ePGH9zifHXn/h+/Ynx19NtjfElztdIqVRKSqXS1LFWq5X4+8fNqVQqU1/3+/0kIqbmaZ55W1QbFmNvby8plUqngmpzuV76/X6Sy+Vm/k89ScznOiiVSqfmr9lsJvl8fqqNeVxNZwXV1zln5pV14Pt09YjxN5MYf/2J7zeDGH+93bYYf6VqnHO20WgUvV4vyuXy1PH79+9HxKu3sXK9er3eqbemFAqFKBQK4xqa88zbotqwGL1eL95+++3xW8JT5nK9jEaj+O53vxv5fD5ardbM8+Zz9Z2cnEzVO46IOD4+Htc2No/r5zrnzLyyDnyfrh4x/mYS468/8f3mEONvnk2O8SXO18STJ08iIsa/SFLp//i73e61j+m2K5VKp+YjlR6fZ94W1YbFaLVasbe3d+q4uVwvjUZjXAd3FvO5Hur1egyHw6hWqxHxqo7d48ePx/NqHtfPdc6ZeWUd+D5dPWL8zSTGX3/i+80hxt88mxzjS5yviXR1w+RGSLPOc/Mm/wcwz7wtqg1X12g0zgzEzOV6Sf/K3O12o1gsxr1796JcLo+fr/lcD7VaLWq1WnQ6ndjZ2YlGoxFPnz4dB0Xmcf1c55yZV9aB79P1IcZfX2L8zSC+3xxi/M2zyTG+xPmaOD4+joiI7e3tmedHo9E1joazdDqdyOfzUavVImK+eVtUG65mMBjE22+/feYKI3O5PgaDQUS8+otzvV6Pfr8f/X4/hsNh7OzsLHSuzOfytVqt8dvje73e1Ns6zeP6uc45M6+sA9+n60GMv77E+JtBfL95xPibZZNjfInzNbGzsxMRr2pBzXJWIMD12t/fj3a7Pf56nnlbVBuuZn9/f+bbN1Pmcn2kf2Gu1+vj5zlZC3F/f998rpFyuRz1ej263W7kcrmoVqvR6XQiws/lOrrOOTOvrAPfp+tBjL++xPibQXy/ecT4m2WTY/w3FtobSzO5ScJ557k5jUYjHj16NDUX88zbotpweY1GY+ptfhFx6i1/5nJ9nPWWrVKpFBGv5jTdSMR8rrZ6vR4RMV7h9/Tp03j33Xfjo48+ikql4udyDV3nnJlX1oHv09Unxl9fYvzNIb7fLGL8zbPJMb7E+ZpId4d9vVZP+nWxWLz2MfGlo6OjKJfLp3Zpn2feFtWGy+v1enFwcDDz3M7OThQKhfjpT38aEeZyHaTPOH0L1+u2t7f9bK6Jx48fjwPqiFf/aGo2m1Gv12MwGJjHNXSdc2ZeWQe+T1ebGH+9ifE3h/h+s4jxN88mx/hKtayJXC4XhULh1O6waR2oDz744CaGRcT47UTpX7tTg8FgrnlbVBsur9/vR5IkUx97e3uRy+UiSZLo9/vmco3kcrkolUpTdfIivvyLdLFYNJ9rYnt7+9RKgvR3bS6XM49r6DrnzLyyDnyfri4x/voT428O8f1mEeNvno2O8RPWRr/fTyIiOT4+Hh/L5/NJs9m8wVHdbt1uNykUCkmr1Zr6qNVqSavVSpJkvnlbVBsWZ29vL8nlclPHzOX6SJ9xt9sdH2s2m0mhUDjVxnyurmazmeRyueTZs2dTx8zj6nv27FkSEUmtVjt17jrnzLyyDnyfrh4x/uYS468v8f3mEOOvr9sY428lSZIsNhXPMg0Gg9jf3498Pj+u4zX5Fheuz2AwOPctIM+ePRvXYptn3hbVhsVoNBpxdHQUz549mzpuLtfHYDCIRqMR+Xw+crlcjEaj8QZCk23M52o7OjqKdrs9fpv8aDSKZrM5VevSPK6WwWAQrVYrjo6OIpfLxaNHj6JUKt3YnJlX1oHv09Uhxt9sYvz1Jr7fHGL89XNbY3yJcwAAAAAAmKDGOQAAAAAATJA4BwAAAACACRLnAAAAAAAwQeIcAAAAAAAmSJwDAAAAAMAEiXMAAAAAAJggcQ4AAAAAABMkzgEAAAAAYILEOQDAfzMYDKLRaES1Wo2dnZ04ODiY69xtNxwOY2trK3Z2dqLRaESj0YjRaBSdTieq1WpsbW3F1tZW1Ov1C/s6ODgYty8Wi3F0dDTXGHq9Xuzs7Exd2+l0TrXrdDpRLBbHbQaDQQyHw2g0GlGv1+PevXuxtbUVo9Eo62MAAGAFifEvR4wfsZUkSZLpCgCAFTQcDmN7eztyudylrh8MBvHd7343nj17FhExDgxbrda553j17Hd2dqLVakWtVjt1fmdnJ4bDYUREPHv27Nw5mmx7fHwc+Xx+7nGMRqO4d+9eRMSZY4mIODo6ikajMZ7PSY1GIw4ODi4cJwAAyyfGvzlifCvOAYANUa1W4+Tk5NLX7+/vx/b29vjrZrM5DprPO8fFcrncOEDd398/s12v15sKoief+bz32dvbi4iIdrt9Zrt+vx8PHz6cee7tt9/OdE8AAJZHjL+6bkOML3EOAKy9arUag8HgSn2cd/1V+77ttre3x0HseW/LbDab0Wg0rnSv9D69Xu/MeXv8+PGZK1UAAFgNYvzVdhtifIlzAODGjEajqNfrUa/Xo1wuR7lcHgdCnU5nXIsuPdbr9cb19KrV6rhder5er58KsNN7NBqN8T16vd74/NHRUVSr1RgOhzEcDqNarUa1Wo1er3fuufMMBoOoVqtRLpfHNQEnx3N0dDSuz9fr9cb1+NLXNG9f6etPX9PR0VHcu3fvVJ3B9Bnv7Oycej69Xm/8nCeff/pstra2FlLrsVKpRD6fH7/+16XPuFQqndnHRc8i4tWKlEqlEhGzV750Op0olUrKsAAALIkYX4yfWvsYPwEAuAHHx8dJPp9Pjo+Px8dyuVySy+XGX9dqtSQikn6/P3VdRCSVSmV8bG9vL4mIqb6SJEn6/X6Sy+Wmrm+1WklEJM1mc6ptPp9P8vn8zLGed+51/X4/KZVK46/b7XYSEUmtVhuPv1KpJBGRlEqlZG9vL+n3++PXOjmui/pqt9tJPp8fH9vb20sKhUJSKBTG1xQKhWRvb2/q2UVEks/nx/00m82Zz+T4+Hiqr7Ok/bZarZnnS6VScnx8PH72s55lrVYbX5+O8dmzZ3M/i1njeb2P9Hl0u90zX0v6LF6/DgCAi4nxxfiT1j3GlzgHAG5EoVA4FcS9HtCkwfJkUPzs2bO5g+pCoTAViE0ef739ooLqQqEwNd4kefWPhcnXlQaEr7/+NNDO0lf6zNLAeVJ6n8k+0uD99Wc1K9htNptnBsqT5g2qJ8c/Gdg+e/Zs6t6zAuJ5nsXr93z9uRwfH0/9o20WiXMAgMsT44vxU5sQ4yvVAgBcu+FwGIPB4NRb9vb29iJJkoW8xS69R6FQOHUufZvjojf/Se+5v78/fsvn5Fsznzx5MtV+1utMNz+at6+0jz/6oz861denn3566ljax+u1AWu1WgyHw6m3qH788cfxwQcfnPeSM0vrDjabzfGxo6Oj8VsvZ8n6XCNi/BbPybeMNpvNMzcMAgDgasT4r4jxX9mEGP+NpfQKAHCONKBbZp3p8zb7uX//fkS8CtaWcc/zdntfVl+znmUaaPd6vVP/uHj960ajEUdHR9FsNqNUKsVoNIrt7e2Fz9HDhw/j4OBgvLFPoVCIVqsV/X7/zGsu81xLpVLk8/kYDodxdHQUtVotHj9+HE+fPr3yawAA4DQx/uL7EuNPu+4Y34pzAODapcHsooPaWUaj0aljaaC4vb290Hst8nUtoq9KpRKlUin29/ej1+vFaDSKZrMZe3t7kc/np9rm8/kolUrR6/XGgeisjYyu6vWNfebZyOeyzyJdkdJsNqPT6cT9+/dtCgoAsCRi/OvpS4x/fTG+xDkAcO3SlRBnrS5YRFCa3mPybYmpNNDe2dm58n0mpYFqp9OZeX7WWJbdV7vdjlKpFIPBYLzaZPItlJPSILTVakW32x2/5fKq0remptK3UnY6nWg0GuO31Z7lss+iVqtFLpeL4XAYH3300YX3AQDg8sT419eXGP96YnyJcwDg2qVvozw6OjoVEDUajfEqkbfffjsipoPs9L9nrTKZPJbP56NQKMRwODwVpD958iRyudxU0HhycnIq+Jvn3KS0nmOj0Tj1NtLJOnzzWFRf1Wo12u127O3txd7e3sx6kJP3zOfzcXBwsPBVG5NzUygUxq8vnafzXOVZTNY7PK/GIgAAVyPGv5gYf3pcEasd40ucAwDXLpfLjVdElMvlqFar0Wg0olgsxs7OzjigS4OtRqMRvV4vjo6Oxpv99Hq9KJfLEfHlqpJWqxXD4XC8aqHdbkcul5tahZC+lfHRo0cLDxxzuVzs7e1FRESxWIxqtRoHBwdRLpfj+Ph4HBzOE6DP21carM76R0b6j5b02qOjo+h0OufWhkxXpHz44Ydzv+6LzPqHTXqf9PNk21T6nOZ9FrOk/3Ba1MoaAABmE+OL8Tcuxk8AAG5Iu91OCoVCEhFJoVBIut3uqTbNZjPJ5XJJLpdL9vb2kiRJknw+n+zt7SX9fn/crlAoJLlcLqnValPXP3v2LKlUKkmpVEpqtVpSq9Wmruv3+0mtVksiIomIpFarjcdx3rnzNJvNJJ/PJxGR5PP5pNVqTd0vfc35fD7pdrvJs2fPpu7TbDbn6qvdbp95LkmS5Pj4eHz+9Y98Pp88e/bs1NifPXuWZA0Rj4+Pk4g4df92u52USqUkIpJcLjf1upIkSUql0tTXrVZr/GzS74nJPs97Fuep1WrJ8fHxXG2bzWYSETOfDQAAFxPji/EnrXOMv5UkSbKMhDwAADdrMBjExx9/HA8fPoyTk5MYjUbjFR7tdjt2dnbGqzxSvV4v2u32eNXPPIbDYezs7ESr1Vr7ld0HBwfRaDTi2bNnNhIFAGDliPGzu2yM/8byhgQAwE0ZDodRLBbHweHrAWI+n5+54U6r1ZqqGZjFrLeSrptf/epXNz0EAACYSYx/OZeN8SXOAQA2UFpH8KOPPoqHDx+Oa0kOh8Po9XpxfHw8rkHZ6/Uin8+P6xRetJHPWfb398dB6cOHD9dmxfZwOByvvsm6wRMAAFwXMf78FhHjK9UCALChDg4OYn9//9Ru981mc7zZzuQGTBERx8fHkc/nr3uoAADAHMT410fiHABgw6V1D88KlhuNRgyHw6lVKwAAwOoS4y+fxDkAAAAAAEz4nZseAAAAAAAArBKJcwAAAAAAmCBxDgAAAAAAEyTOAQAAAABggsQ5AAAAAABMkDgHAAAAAIAJEucAAAAAADBB4hwAAAAAACb8/3W3QYOE6XwTAAAAAElFTkSuQmCC", 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", 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" ] @@ -650,7 +844,7 @@ "outputs": [ { "data": { - "image/png": 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" ] @@ -700,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -725,6 +919,40 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "both_eloss = np.append(up_energyloss_found,up_energyloss_lost)\n", + "plt.hist(both_eloss, bins=100, density=True, histtype='bar', color=\"cornflowerblue\", label=\"Upstream\")\n", + "plt.vlines(ak.mean(both_eloss),0,3,colors=\"red\", label=\"mean\")\n", + "plt.xlabel(r\"Energyloss Ratio $E_\\gamma/E_0$\")\n", + "plt.ylabel(\"counts (normed)\")\n", + "plt.title(r'$B^0\\rightarrow K^{\\ast 0} e^+e^-$, $p>5$GeV, photons w/ brem_vtx_z$<9500$mm')\n", + "plt.legend(title=\"LHCb Simulation\", title_fontsize=15)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": 17, diff --git a/Projektpraktikum.code-workspace b/Projektpraktikum.code-workspace index 43d31fd..47cafe2 100644 --- a/Projektpraktikum.code-workspace +++ b/Projektpraktikum.code-workspace @@ -1,10 +1,13 @@ { "folders": [ { - 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circle : Create circle on figure with axes of different sizes. +# - move_sn_y : Move scientific notation exponent from top to the side. +# - fillgrid : Fill rectangular grid with colours or a colour and transparency. +# - checksize : Check size of pdf figure, and adjust if required. +# - cm2in : Convert centimetres to inches + +# In[1]: + +import numpy as np +import matplotlib as mpl +from matplotlib import cm +import matplotlib.pyplot as plt + + +# In[2]: + +def circle(xy, radius, kwargs=None): + """Create circle on figure with axes of different sizes. + + Plots a circle on the current axes using `plt.Circle`, taking into account + the figure size and the axes units. + + It is done by plotting in the figure coordinate system, taking the aspect + ratio into account. In this way, the data dimensions do not matter. + However, if you adjust `xlim` or `ylim` after plotting `circle`, it will + screw them up; set `plt.axis` before calling `circle`. + + Parameters + ---------- + xy, radius, kwars : + As required for `plt.Circle`. + """ + + # Get current figure and axis + fig = mpl.pyplot.gcf() + ax = fig.gca() + + # Calculate figure dimension ratio width/height + pr = fig.get_figwidth()/fig.get_figheight() + + # Get the transScale (important if one of the axis is in log-scale) + tscale = ax.transScale + (ax.transLimits + ax.transAxes) + ctscale = tscale.transform_point(xy) + cfig = fig.transFigure.inverted().transform(ctscale) + + # Create circle + if kwargs == None: + circ = mpl.patches.Ellipse(cfig, radius, radius*pr, + transform=fig.transFigure) + else: + circ = mpl.patches.Ellipse(cfig, radius, radius*pr, + transform=fig.transFigure, **kwargs) + + # Draw circle + ax.add_artist(circ) + + +# In[3]: + +def move_sn_y(offs=0, dig=0, side='left', omit_last=False): + """Move scientific notation exponent from top to the side. + + Additionally, one can set the number of digits after the comma + for the y-ticks, hence if it should state 1, 1.0, 1.00 and so forth. + + Parameters + ---------- + offs : float, optional; <0> + Horizontal movement additional to default. + dig : int, optional; <0> + Number of decimals after the comma. + side : string, optional; {<'left'>, 'right'} + To choose the side of the y-axis notation. + omit_last : bool, optional; + If True, the top y-axis-label is omitted. + + Returns + ------- + locs : list + List of y-tick locations. + + Note + ---- + This is kind of a non-satisfying hack, which should be handled more + properly. But it works. Functions to look at for a better implementation: + ax.ticklabel_format + ax.yaxis.major.formatter.set_offset_string + """ + + # Get the ticks + locs, _ = mpl.pyplot.yticks() + + # Put the last entry into a string, ensuring it is in scientific notation + # E.g: 123456789 => '1.235e+08' + llocs = '%.3e' % locs[-1] + + # Get the magnitude, hence the number after the 'e' + # E.g: '1.235e+08' => 8 + yoff = int(str(llocs).split('e')[1]) + + # If omit_last, remove last entry + if omit_last: + slocs = locs[:-1] + else: + slocs = locs + + # Set ticks to the requested precision + form = r'$%.'+str(dig)+'f$' + mpl.pyplot.yticks(locs, list(map(lambda x: form % x, slocs/(10**yoff)))) + + # Define offset depending on the side + if side == 'left': + offs = -.18 - offs # Default left: -0.18 + elif side == 'right': + offs = 1 + offs # Default right: 1.0 + + # Plot the exponent + mpl.pyplot.text(offs, .98, r'$\times10^{%i}$' % yoff, transform = + mpl.pyplot.gca().transAxes, verticalalignment='top') + + # Return the locs + return locs + + +# In[4]: + +def fillgrid(xval, yval, values, style='colour', cmap=cm.Spectral, + unicol='#000000', lc='k', lw=0.5): + """Fill rectangular grid with colours or a colour and transparency. + + Parameters + ---------- + xval, yval : array + Grid-points in x- and in y-direction. + values : array, dimension: (x-1)-by-(y-1) + Values between 0 and 1 + style : string, optional; {<'colour'>, 'alpha'} + Defines if values represent colour or alpha. + cmap : mpl.cm-element, optional + `Colormap` colours are chosen from; only used if style='colour' + unicol : HEX-colour + Colour used with transparency; only used if style='alpha' + lc, lw : optional + Line colour and width, as in standard plots. + + Returns + ------- + rct : list + List of plotted polygon patches. + """ + + # Ravel values, and set NaN's to zero + rval = values.ravel() + rvalnan = np.isnan(rval) + rval[rvalnan] = 0 + + # Define colour depending on style + if style == 'alpha': + # Create RGB from HEX + unicol = mpl.colors.colorConverter.to_rgb(unicol) + # Repeat colour for all values, + # filling the value into the transparency column + colour = np.vstack((np.repeat(unicol, len(rval)).reshape(3, -1), + rval)).transpose() + else: + # Split cmap into 101 points from 0 to 1 + cmcol = cmap(np.linspace(0, 1, 101)) + # Map the values onto these + colour = cmcol[list(map(int, 100*rval))] + # Set transparency to 0 for NaN's + colour[rvalnan, -1] = 0 + + # Draw all rectangles at once + xxval = np.array([xval[:-1], xval[:-1], xval[1:], xval[1:]]).repeat( + len(yval)-1, axis=1).reshape(4, -1) + yyval = np.array([yval[:-1], yval[1:], yval[1:], yval[:-1]]).repeat( + len(xval)-1, axis=0).reshape(4, -1) + rct = mpl.pyplot.gca().fill(xxval, yyval, lw=lw, ec=lc) + + # Map the colour onto a list + cls = list(map(mpl.colors.rgb2hex, colour)) + + # Adjust colour and transparency for all cells + for ind in range(len(rct)): + rct[ind].set_facecolor(cls[ind]) + rct[ind].set_alpha(colour[ind, -1]) + + return rct + + +# In[5]: + +def checksize(fhndl, name, dsize, precision=0.01, extent=0.05, kwargs={}, _cf=False): + """Print figure with 'name.pdf', check size, compare with dsize, and adjust if required + + Parameters + ---------- + fhndl : figure-handle + Figure handle of the figure to be saved. + name : string + Figure name. + dsize : list of two floats + Desired size of pdf in cm. + precision : float, optional; <0.01> + Desired precision in cm of the dimension, defaults to 1 mm. + extent : float or list of floats, optional; <0.01> + - If float, then bbox_inches is set to tight, and pad_inches=extent. + - If it is an array of two numbers it sets the percentaged extent-width, + `Bbox.expanded`. + - If it is an array of four numbers it sets [x0, y0, x1, y1] of Bbox. + kwargs : dict + Other input arguments that will be passed on to `plt.savefig`; e.g. dpi or facecolor. + _cf : Internal parameter for recursion and adjustment. + """ + + # Import PyPDF2 + from PyPDF2 import PdfFileReader + + # Check `extent` input and set bbox_inches and pad_inches accordingly + if np.size(extent) == 1: + bbox_inches = 'tight' + pad_inches = extent + else: + fext = fhndl.gca().get_window_extent().transformed( + fhndl.dpi_scale_trans.inverted()) + if np.size(extent) == 2: + bbox_inches = fext.expanded(extent[0], extent[1]) + elif np.size(extent) == 4: + fext.x0, fext.y0, fext.x1, fext.y1 = extent + extent = [1, 1] # set extent to [1, 1] for recursion + bbox_inches = fext + pad_inches=0 + + # Save the figure + fhndl.savefig(name+'.pdf', bbox_inches=bbox_inches, pad_inches=pad_inches, **kwargs) + + # Get pdf-dimensions in cm + pdffile = PdfFileReader(open(name+'.pdf', mode='rb')) + pdfsize = np.array([float(pdffile.getPage(0).mediaBox[2]), + float(pdffile.getPage(0).mediaBox[3])]) + pdfdim = pdfsize*2.54/72. # points to cm + + # Define `print`-precision on desired precision + pprec = abs(int(('%.1e' % precision).split('e')[1]))+1 + + # Get difference btw desired and actual size + diff = dsize-pdfdim + + # If diff>precision, adjust, else finish + if np.any(abs(diff) > precision): + if not _cf: + _cf = [1, 1] + + # Be verbose + print(' resize...') + + # Adjust width + if (abs(diff[0]) > precision): + print(' X-diff:', np.round(diff[0], pprec), 'cm') + + # Set new factor to old factor times (desired size)/(actual size) + _cf[0] = _cf[0]*dsize[0]/pdfdim[0] + + # Set new figure width + fhndl.set_figwidth(_cf[0]*dsize[0]/2.54) # cm2in + + # Adjust height + if (abs(diff[1]) > precision): + print(' Y-diff:', np.round(diff[1], pprec), 'cm') + + # Set new factor to old factor times (desired size)/(actual size) + _cf[1] = _cf[1]*dsize[1]/pdfdim[1] + + # Set new figure height + fhndl.set_figheight(_cf[1]*dsize[1]/2.54) #cm2in + + # Call the function again, with new factor _cf + figsize = checksize(fhndl, name, dsize, precision, extent, kwargs, _cf) + + return figsize + + else: # Print some info if the desired dimensions are reached + + # Print figure name and pdf dimensions + print('Figure saved to '+name +'.pdf;', + np.round(pdfdim[0], pprec), 'x', + np.round(pdfdim[1], pprec), 'cm.') + + # Print the new figsize if it had to be adjusted + if _cf: + print(' => NEW FIG-SIZE: figsize=('+ + str(np.round(fhndl.get_size_inches()[0], 2*pprec))+', '+ + str(np.round(fhndl.get_size_inches()[1], 2*pprec))+')') + + # Return figsize + return fhndl.get_size_inches() + + +# In[6]: + +def cm2in(length, decimals=2): + """Convert cm to inch. + + Parameters + ---------- + length : scalar or vector + Numbers to be converted. + decimals : int, optional; <2> + As in np.round, used to round the result. + + Returns + ------- + cm2in : scalar or vector + Converted numbers. + + Examples + -------- + >>> from adashof import cm2in + >>> cm2in(5) + 1.97 + + """ + + # Test input + try: + length = np.array(length, dtype='float') + decimals = int(decimals) + except ValueError: + print("{length} must be a number, {decimals} an integer") + + return np.round(length/2.54, decimals) \ No newline at end of file