From acdea45784fca1b49a00589e65669bd6e4f836b1 Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 31 Jan 2023 13:36:29 +0100 Subject: [PATCH 1/6] export of jets with new provenance --- notebooks/JetTagging/InitialPlots.ipynb | 116 ++++++++ notebooks/JetTagging/JetTagging_dataset.ipynb | 268 +++++++++++++----- 2 files changed, 311 insertions(+), 73 deletions(-) create mode 100644 notebooks/JetTagging/InitialPlots.ipynb diff --git a/notebooks/JetTagging/InitialPlots.ipynb b/notebooks/JetTagging/InitialPlots.ipynb new file mode 100644 index 00000000..b936160a --- /dev/null +++ b/notebooks/JetTagging/InitialPlots.ipynb @@ -0,0 +1,116 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "f9da7fac-ea2f-4197-9c39-b217009f1e24", + "metadata": {}, + "outputs": [], + "source": [ + "import awkward as ak\n", + "import numba\n", + "import numpy as np\n", + "import pandas as pd\n", + "import awkward as ak\n", + "import vector\n", + "vector.register_numba()\n", + "vector.register_awkward()\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.colors import LogNorm\n", + "import mplhep as hep" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "16a00c60-b278-42b0-abee-bce196f25e1a", + "metadata": {}, + "outputs": [], + "source": [ + "df = ak.from_parquet(\"/eos/user/d/dvalsecc/www/ttHbbAnalysis/training_dataset/all_jets_v1.parquet\")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "64ee04b1-854c-4c77-aff1-fae7d9ae0b49", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Array [{jets: [{pt: 68.3, ... prov: 1}]}] type='584143 * {\"jets\": var * {\"pt\": ...'>" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "04103c89-79e0-44f0-853c-0d2279671f53", + "metadata": {}, + "outputs": [], + "source": [ + "jets, parton = ak.unzip(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "ec21d6ea-4f99-4eb5-9a0d-8b2f34106310", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Array [[{pt: 68.3, eta: 0.853, ... prov: -1}]] type='584143 * var * {\"pt\": floa...'>" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "jets" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "01023727-917d-4678-8306-a10956ce3f9a", + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/JetTagging/JetTagging_dataset.ipynb b/notebooks/JetTagging/JetTagging_dataset.ipynb index d0ba34f3..b1dd905d 100644 --- a/notebooks/JetTagging/JetTagging_dataset.ipynb +++ b/notebooks/JetTagging/JetTagging_dataset.ipynb @@ -2,14 +2,11 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 17, "id": "9d0e49db-5900-4fab-82da-b00d4314d357", "metadata": {}, "outputs": [], "source": [ - "import sys\n", - "sys.path.append(\"../\")\n", - "\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "import mplhep as hep\n", @@ -31,7 +28,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 18, "id": "337a88b8-5f02-4f6a-8349-ff5a05897abe", "metadata": {}, "outputs": [ @@ -49,23 +46,23 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 30, "id": "bffbffb0-2ff1-4053-8bcb-cce64e5d3fa9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "dict_keys(['sum_genweights', 'sumw', 'cutflow', 'seed_chunk', 'variables', 'columns', 'processing_metadata', 'scale_genweight'])" + "dict_keys(['sum_genweights', 'sumw', 'cutflow', 'variables', 'columns', 'processing_metadata', 'scale_genweight'])" ] }, - "execution_count": 3, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "file = \"../../output/parton_matching_dR03_training_dataset_v18/output.coffea\"\n", + "file = \"../../output/parton_matching_dR03_training_dataset_v27/output_ttHTobb_2018.coffea\"\n", "out = load(file)\n", "out.keys()" ] @@ -80,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 31, "id": "b871a550-56f4-49df-bd03-dc3d0afe4a90", "metadata": {}, "outputs": [ @@ -94,7 +91,7 @@ " 'semilep_LHE': {'ttHTobb': 584143}}" ] }, - "execution_count": 36, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -113,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 22, "id": "b3ce942c-b76d-465a-a48c-dd4d6e18a83c", "metadata": {}, "outputs": [ @@ -124,7 +121,7 @@ " 'semilep_LHE': {'ttHTobb': 1154.4067646531087}}" ] }, - "execution_count": 37, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -144,7 +141,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 15, "id": "350c329a-1cdb-4cb6-8c5d-43c6f13a5fa8", "metadata": {}, "outputs": [ @@ -154,7 +151,7 @@ "dict_keys(['JetGood_eta', 'JetGood_pt', 'JetGood_phi', 'JetGood_btagDeepFlavB', 'BJetGood_eta', 'BJetGood_pt', 'BJetGood_phi', 'BJetGood_btagDeepFlavB', 'ElectronGood_eta', 'ElectronGood_pt', 'ElectronGood_phi', 'ElectronGood_etaSC', 'MuonGood_eta', 'MuonGood_pt', 'MuonGood_phi', 'nJets', 'nBJets', 'JetGood_eta_1', 'JetGood_pt_1', 'JetGood_phi_1', 'JetGood_btagDeepFlavB_1', 'JetGood_eta_2', 'JetGood_pt_2', 'JetGood_phi_2', 'JetGood_btagDeepFlavB_2', 'JetGood_eta_3', 'JetGood_pt_3', 'JetGood_phi_3', 'JetGood_btagDeepFlavB_3', 'JetGood_eta_4', 'JetGood_pt_4', 'JetGood_phi_4', 'JetGood_btagDeepFlavB_4', 'JetGood_eta_5', 'JetGood_pt_5', 'JetGood_phi_5', 'JetGood_btagDeepFlavB_5', 'bjet_eta_1', 'bjet_pt_1', 'bjet_phi_1', 'bjet_btagDeepFlavB_1', 'bjet_eta_2', 'bjet_pt_2', 'bjet_phi_2', 'bjet_btagDeepFlavB_2', 'bjet_eta_3', 'bjet_pt_3', 'bjet_phi_3', 'bjet_btagDeepFlavB_3', 'bjet_eta_4', 'bjet_pt_4', 'bjet_phi_4', 'bjet_btagDeepFlavB_4', 'bjet_eta_5', 'bjet_pt_5', 'bjet_phi_5', 'bjet_btagDeepFlavB_5', 'nPartons', 'nPartonsMatched', 'Parton_eta', 'Parton_pt', 'Parton_phi', 'Parton_pdgId', 'PartonMatched_eta', 'PartonMatched_pt', 'PartonMatched_phi', 'PartonMatched_dRMatchedJet', 'PartonMatched_pdgId', 'NJet_Nparton_total', 'NJet_Nparton_matched', 'Nparton_Nparton_matched', 'hist_ptComparison_parton_matching'])" ] }, - "execution_count": 6, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -165,23 +162,23 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 16, "id": "30c2a818-c414-4957-8c89-c01bd92e9a84", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "<matplotlib.legend.Legend at 0x7f5fec102500>" + "<matplotlib.legend.Legend at 0x7fbcba08a310>" ] }, - "execution_count": 60, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1IAAANzCAYAAACj1imUAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAA9hAAAPYQGoP6dpAACdZklEQVR4nOzdeXQUVcL+8aey0kkADZIIBAOiRALosCs6gIwOoKyCDoPzcxlnUVr0FZd5cWNVRoVxUNuBGRF5FRcUxFEEFBFRjwYIIEgQZREhgQYMa9Jk6/r9EdKmk07SlaW7k3w/5+RYqbp163Yqjf3k3rrXME3TFAAAAADAb2HBbgAAAAAA1DcEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALIoIdgOCLTY2VmfOnFF4eLgSEhKC3RwAAAAAQXL48GEVFRWpSZMmysnJqbSsYZqmGaB2haTw8HC53e5gNwMAAABAiAgLC1NRUVGlZRp9j1RJkAoLC1OrVq38OsfpdCoxMbHW22KaprKystS6dWsZhlHr9Ut11/a6rruu66/Luuv6vvJzD3z9vFeDVz/v1eDUX1/bzns1OHXXZf3c0+DV31j+/T148KDcbrfCw8OrLmw2cm3atDElmW3atPH7nE6dOtVJW06cOGFKMk+cOFEn9Ztm3bW9ruuu6/rrsu66vq/83ANfP+/V4NXPezU49dfXtvNeDU7ddVk/9zR49TeWf3+tZAMmmwAAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggVQ12uz3YTai2umx7Xf9c6nPb6xI/9+DVX5f4uQe+7rrGzz149del+vpz555WjJ974Ouua3XV9ka/IG9SUpIyMzPVpk0bHThwIKhtOXnypJo3b64TJ06oWbNmQW0Lag/3teHhnjZM3NeGh3va8HBPG6ZQuq9WsgE9UgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQCiHR0dGaPHmyoqOjg90U1CLua8PDPW2YuK8ND/e04eGeNkz19b6yIO/ZRbciIiJ08cUX+yxjt9vr9WrOAAAAAIo5HA45HA6fx3744QcVFhb6tSAvQcrC6sUAAAAAGi4r2YChfQAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAalNz8QrX73+Vq97/LlZtfGOzmoIEiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAABQT7Vr106GYahdu3bBbkqjQ5ACAAAAEHC9evWSYRj68ccfg92UaiFIAQAAAPDptttuq5Mer++++04bN26s1ToDjSAFAAAAIGAKCwtlt9uD3YwaI0gBAAAAqFOmaWr//v167bXX1LdvX61ZsybYTaqxiGA3ALXPNE2ZLleFxw2bTYZhBLBFAAAAaKzS0tJ0zTXX6PTp08FuSq0iSDVApsulnd17VHg8ZVO6jJiYALYIAAAAweJ2u/XWW2/pzTff1IYNG/Tzzz8rISFBF154oX7/+9/r5ptvVtOmTb3OGTBggD777DPP9/v27fP8IX7y5MmaMmWK39d3uVwNLkRJDO0DAAAAGqxDhw6pb9++GjdunP773//q4MGDys/P14EDB7Ru3TrdddddSklJUVpaWp21oV+/fnK5XF5fjzzySJ1dL1DokWokOqz+WLuvuTbYzQAAAJBU/CiCq6CoynK5+YWW63bl/1Lvz6fzlBtlvY6YqKo/Jtsiw0P6cYmcnBwNHDhQO3bskCRde+21GjRokNq1a6d9+/Zp1apV+uijj3Tw4EH1799faWlpuuyyyyRJTz/9tLKzszV79mytXr1aCQkJWrhwoSTpoosustSOsLAwNWnSxGtfRET9jyH1/xWgUimb0hUWEyN3bm6wmwIAAODhKihS6uOr6vw6v356bZ3VnTFtkF+BK1gmT56sHTt2KCwsTG+//bZuuOEGr+MTJ07Uu+++qzFjxigvL0933HGH1q9fr7CwMPXu3VuS9Oabb0qSbDabBg8eHPDXEMpC984HmNPpVGpqqs9jdru9QUzRCAAAgMbh5MmTmjt3riRp0qRJ5UJUiVGjRumRRx7R9OnTlZ6erm+//VaXXnppIJsacA6HQw6Hw+cxp9Ppdz0EqbMSExOVkZER7GYAAAA0CrbIcGVMG1RlueoO7Svpifr8oQGyRYVbrsPfoX2h6rPPPlNOTo4k6eabb6607OjRozV9+nRJ0tq1axt8kKqskyQpKUmZmZl+1UOQAgAAQMAZhuFXWKnO0LnS4atFXHRID7+rKxs2bPBsVzTqypdDhw7VRXMaJGbtAwAAABqYo0ePVuu8EydO1HJLGq7GF88BAACAEJefn6/cs5OFxcTEKCoqytL5hYW/9MotWbJEMX6uIdqmTRtL12nMCFIAAABAiHn99dd1++23S5IWLFig2267zWe5vLw8n/vj4+M92xdffLG6du1a621s7BjaBwAAAISY0utTlUwaUVZRUZEOHz4sSeV6nEoHp6omVHM6nVq5cqVWrlyp7Ozs6ja50SFIAQAAACGmffv2nu29e/f6LHPgwAG53W5JUqdOnbyOXX311QoLK/6o/8wzz3jK+fK3v/1NQ4YM0ejRoxUZGVnTpjcaBCkAAAAgxHTu3Nmz/c477yg/P79cmQULFvgsL0mtW7fWjTfeKElKT0/Xo48+6vXcVIklS5bo1VdflSSNGTNGTZs29dmenJwcmaZp/YU0YAQpAAAAIMS0aNFCgwcPliTt27dPt9xyi44fPy5JMk1Tb7/9tmbNmiVJiouL05///OdydTz77LNKSEiQJM2cOVNXXHGFZs6cqSVLlmj+/PkaM2aMbrrpJrndbrVr105PP/10uToiIoqnVDh69KjmzZunzZs3V9hD1tgw2QQAAAAQgubOnasuXbro9OnTeuutt7R48WK1a9dOR48e1alTpzzlnnrqKbVt27bc+a1atdLatWs1dOhQ7dmzRxs3btTGjRvLlbvkkku0dOlSJSYmljvWu3dvzZ8/X5J01113SZImT56sKVOm1NKrrL/okQIAAABCUHJysjZv3qxBgwZJKu6J2rt3rydEJScna/ny5Ro/fnyFdXTq1Enbt2/XCy+8oIEDB6ply5aKjIxUhw4dNGTIEM2fP1/btm0r94xViTvuuEOPPPKIkpKSFBkZqVatWnl6uRo7w2zkgx2TkpKUmZmpNm3a6MCBA8FuTq1w5+ZqZ/cekqSUTekKi4nxuQ8AAKAhys0vVOrjqyRJGdMGKSaqfg/CMk1T33//vTIyMrRr1y4lJiaqc+fO6tKli6Kjo4PdvAbFSjao8W/V6dOntWvXLuXm5uriiy/Weeed5zVdY1UyMzO1b98+ScWp2uoiYG63W7t371ZmZqbi4uLUoUMHnXvuuZbqAAAAAEKVYRhKSUlRSkpKsJuCUqo1tO/MmTOaNm2akpOT1bRpU3Xr1k1XXnmlEhISFB8fr0ceeUQnT56stI4VK1aoV69eSkpK0pVXXqkrr7xSSUlJ6tmzpz788MMq2+B2u/Xss8+qffv26tixo66++mr16tVLLVu21NChQ7Vz587qvDQAAAAAqJLloX05OTkaOHCg1q9fX2m5li1b6pNPPvG5ivLs2bP1wAMPVHr+M888U2GZoqIijRkzRsuWLavwfJvNppUrV6pfv36VXoehfQAAAAAka9nAco/Ugw8+6AlR3bp108qVK5WVlaXs7GytW7dO1157rSTpyJEjGjNmjAoKCrzOX7NmjR588EFJ0nnnnadFixYpOztb2dnZeu2119SiRQvPdT755BOfbZg+fbonRHXv3l2ffvqpTp8+rf3792vq1KkKCwuTy+XSqFGjdOTIEasvEQAAAAAqZalH6sSJE0pISFB+fr46dOigjIwMRUVFeZVxu926+uqrtW7dOknSJ598ooEDB0oqflDu8ssv1/r16xUREaH169erW7duXudv2rRJffr0UWFhoXr37q2vv/7a65mrw4cP68ILL1ROTo7at2+vb775ptzCYc8//7zuueceSdJDDz2kp556qsLXRI8UAAAAAKkOe6R27NjhWVX5gQceKBeiJCksLEz33Xef5/tvvvnGs71161ZPb9bIkSPLhSipuIdp5MiRkqT169dr+/btXsffeOMN5eTkSJLuv/9+n6sv2+12z7SMCxYskNvttvIyAQAAAKBSloLUDz/84Nnu3LlzheUuvvhin+d88MEHnu0RI0ZUeH7pY8uXL/c6VrqO4cOH+zw/LCxMw4YNk1Q8xHDDhg0VXgsAAAAArLIUpC666CLNnDlTM2fOVGpqaoXlMjMzPdvnn3++Z7v0THrXXXddheeXPrZp0yavYyV1dO3a1ecKziWuv/76CusAAAAAgJqwtI7UFVdcoSuuuKLSMgUFBfr73//u+X7UqFGe7YMHD0qS4uLiFB8fX2Ed8fHxio2NVU5Ojlf4Mk1Thw4dklS85lRlSocspkIHAAAAUJtqvCBvVlaWvvjiC2VnZ+v777/X4sWLPT1S06dP95r+vCQEVRaiSrRo0UI5OTme8CVJ2dnZnlkAq6qjZPY/SV51AAAAAEBN1ThIrVu3Tr///e+99sXHx2vRokUaPHiw1/6SQFM65FSkRYsW+umnnzwTS5Q+3586Sh8vXUdFTNOschHhykRHRys6Orra5wMAAAComby8POXl5VX7fCtL7NY4SPmSnZ2t//mf/9Gzzz6rIUOGePaXBBWbzVZlHSWhxOVylTvfnzpKh5rSdVQkKytLzZs3r7JcRSZPnqwpU6ZU+3wAAAAANTNz5kxNnTo1INeqcZAaO3asxo4dq5MnT2rv3r1aunSpnn32We3cuVPDhg3TO++845nOvGXLlsrKytLx48errLekTOnA1LJly3LHqzq/bB0Vad26tXbs2FFluYrQGwUAAAAE16RJkzRx4sRqn9+pUydlZWX5VbbWeqSaNWumyy67TJdddpmuvfZa9e/fX0VFRXrooYc0bNgwhYeHq1WrVsrKylJ2dnaV9ZWUiYuL8+xr1apVueNVnV+2jooYhqFmzZpVWQ4AAABAaKrp4zaGYfhd1tL05/666qqrNGjQIEnF60iVrApcMhV6dnZ2peMPTdPUsWPHJHnPvhcXF6fY2FhPHZUpOb9sHQAAAABQU5aC1P/+7//qD3/4gx577LEqy3bq1MmzXdI9VtKjlJ+fX+mU5Dt37vTMzld2vaqSOrZu3Sq3211hHVu3bvVsV7bmVWO0s3sP7bikkwp//lnu3Fy5c3MtPVgHAAAQ0vJzpCnNi7/yq550DKgOS0Fq69atWrRokV566aUqy5ZelPecc86RJPXs2dOz7/3336/w3NLH+vbt63WspI5Dhw4pPT29WnWg2A9XXqWd3XtoZ/ceMv2YkAMAAABAMUtBqmPHjpKKQ8x3331XYbnTp0/r888/l1Qcoi666CJJ0rBhwzzjDpcsWeKzF8Q0TS1dulRS8RjF4cOHex0fMWKEZ3vJkiU+r3/8+HGtWbNGUnHPWEpKil+vDwAAAAD8YSlI9enTx7N911136fTp0+XK5OXl6e677/YM57vlllsUGRkpqXhmvLFjx0qS0tLS9O9//7vc+fPmzdPXX38tSbr55pu9JpiQpFGjRik5OVmSNGfOHG3ZssXreFFRkex2u86cOSNJuv/++628xAbLsNmUsildF3/5hWdfh9UfB7FFAAAAQP1lmBYejikoKFC3bt20fft2SVKbNm10xx136OKLL1Z4eLi+//57vfrqq9q9e7ck6aKLLlJaWpri4+M9dfz444/q0aOHZ7KIW2+9VUOGDJHb7dby5cu1aNEiScUL6qanp3tCU2nvvfeeZ0r1pk2basKECZ46X3nlFX355ZeSpMsvv1yff/65IiIqnpwwKSlJmZmZatOmjWdSjPrOnZurnd17SJJSNqUrLCamRuUAAADqlfwc6cnWxdsPZ0lRscFtD+oNK9nAUpCSpD179uj666+vdGifJF1xxRV68803dcEFF5Q79sUXX+iGG27QkSNHfJ6bkJCgZcuW6Yorrqiw/hdeeEH33XefCgsLfR7v0aOHPvzwQyUkJFTaToIUQQoAADQwjShItWvXTvv27VNycrJ+/PHHYDen3rOSDSyvI3XhhRcqPT1d//d//6dVq1Zpz5492rt3r6Kjo5WSkqKOHTtqxIgRGjp0qMLDw33WcdVVV2nbtm167rnntGzZMu3bt0+GYSg5OVkjR47Uvffe67X4ri933323fv3rX+u5557TJ598ooMHDyouLk6XXHKJxo0bp7/85S+eIYUAAAAAguvLL7/UwoULtXPnTn3//fdyuVzq3LmzOnfurDvvvFPdu3cPdhMtsdwj1dDQI0WPFAAAaGDokao1t912mxYuXFij+ouKijRhwgT961//qrCMYRi666679NRTTykuLq6ara25Ou2RAgAAAAB/zZgxwxOiYmNjdeedd+rSSy+VaZpKT0/XSy+9JJfLpRdffFF79+7V8uXLPTN9hzKCFAAAAIA6cfToUT311FOSpPPPP1+ff/65Z2kkqXjiufvvv1/XXHONdu3apRUrVuitt97yzPQdyixNfw4AAAAA/nr//fflcrkkSZMmTfIKUSWSk5P16quver5/+eWXA9a+miBIAQAAAA2Y2+3WG2+8oREjRqh169aKjo5W27Zt1b9/f82dO1enTp0qd86AAQNkGIYWLlwoSZ7J4QzD0JQpU/y+9vr16z3bN954Y4Xl+vTpo/PPP1+StGnTJr/rDyaG9gEAAAAN1KFDhzRy5EilpaV57T9w4IAOHDigdevWadq0aXr33XfVp0+fWr++0+mUJEVFRSkxMbHCcoZhqFWrVjp06JCnByvUEaQAAAAQeKYpFeRWXS7fjzKVnXP6qBRVjTqi/JjNODJGCuFJEXJycjRw4EDt2LFDknTttddq0KBBnpn+Vq1apY8++kgHDx5U//79lZaWpssuu0yS9PTTTys7O1uzZ8/W6tWrlZCQ4Omd8jU8ryJ33nmnhg8fLpvNprCwigfDnTx5Ujt37pQkdezYsbovOaAIUgAAAAi8gtxfpiivS89dWnd1h/jU6pMnT9aOHTsUFhamt99+WzfccIPX8YkTJ+rdd9/VmDFjlJeXpzvuuEPr169XWFiYevfuLUl68803JUk2m02DBw+23Ibf/va3fpV74oknlJtbHHgHDRpk+TrBwDNSAAAAQANz8uRJzZ07V1LxJA9lQ1SJUaNG6ZFHHpEkpaen69tvvw1YG6Xi57eeeuopPf3005KKp0efOHFiQNtQXfRIAQAAIPAiY4p7dKpS3aF9JT1R92z1b5heWf4O7QtRn332mXJyciRJN998c6VlR48erenTp0uS1q5dq0svrcNevFK++eYb3Xvvvfrss88kSeHh4XrrrbeUkJAQkOvXFEEKAAAAgWcY/g2Lq87QufycX7bjzgvp4Xd1ZcOGDZ7t1NRUv887dOhQXTTHy4EDB/TYY49p4cKFMk1TknTOOefo5Zdf1vXXX1/n168tBCkAAACggTl69Gi1zjtx4kQtt+QXbrdb8+bN00MPPaTTp0979o8YMUIvvviiWrcOwDNztYggdZbT6awwrdvtdtnt9gC3CAAAAI1Vfn6+Z/KFmJgYRUVFWTq/sLDQs71kyRLFxPg3DLFNmzaWruOvH3/8UbfeeqvWrVvn2denTx89/fTT6tevX51csyIOh0MOh8PnsZLp2v1BkDorMTFRGRkZwW4GAAAAoNdff1233367JGnBggW67bbbfJbLy8vzuT8+Pt6zffHFF6tr16613kZ/ZWVlaeDAgdq7d68k6fzzz9ecOXN04403ygjC9PGVdZIkJSUpMzPTr3oIUgAAAECIKR0wSiaNKKuoqEiHDx+WpHI9TqWDU0ZGRqVByul0avPmzZKk3r17e4WwmsrNzdWgQYM8IWr48OF65ZVXdO6559baNYKF6c8BAACAENO+fXvPdkkIKevAgQNyu92SpE6dOnkdu/rqqz0L4D7zzDOecr787W9/05AhQzR69GhFRkbWtOle3nrrLc+U6jfccIOWLFnSIEKURJACAAAAQk7nzp092++8847y8/PLlVmwYIHP8pLUunVr3XjjjZKK14d69NFHvZ6bKrFkyRK9+uqrkqQxY8aoadOmPtuTk5PjmWHPipK1rGw2m+bNm6eIiIYzIK7hvBIAAACggWjRooUGDx6slStXat++fbrllls0d+5cnXPOOTJNU++8845mzZolSYqLi9Of//zncnU8++yz+vTTT3X48GHNnDlTH3/8sW644QZ17NhRx48f14oVK/Tuu+/K7XarXbt2nkVxSysJPkePHtW8efPUp08fnXPOOV49ZhU5c+aM1q9fL6n4Oa2NGzf69dptNpv69+/vV9lgIkgBAAAAIWju3Lnq0qWLTp8+rbfeekuLFy9Wu3btdPToUZ06dcpT7qmnnlLbtm3Lnd+qVSutXbtWQ4cO1Z49e7Rx40afYeaSSy7R0qVLlZiYWO5Y7969NX/+fEnSXXfdJUmaPHmypkyZUmX7S57fkqStW7dqyJAhVZ4jScnJyfrxxx/9KhtMDO0DAAAAQlBycrI2b96sQYMGSZJM09TevXs9ISo5OVnLly/X+PHjK6yjU6dO2r59u1544QUNHDhQLVu2VGRkpDp06KAhQ4Zo/vz52rZtW7lnrErccccdeuSRR5SUlKTIyEi1atVKCQkJfrXfylTi9ZFhVmewYwNSMsVhmzZtdODAgWA3p1a4c3O1s3sPSVLKpnSFVbBugL/lAAAA6pX8HOnJs4u7PpwlRcUGtz01ZJqmvv/+e2VkZGjXrl1KTExU586d1aVLF0VHRwe7eQ2KlWzA0D4AAAAghBmGoZSUFKWkpAS7KSiFoX0AAAAAYBFBCgAAAAAsYmgfAAAAGpaoWGnKiWC3Ag0cPVIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFEcFuQKhwOp1KTU31ecxut8tutwe4RQAAAKiO3IJc9Xm9jyQpbVyaYiJjgtwihBKHwyGHw+HzmNPp9LsegtRZiYmJysjICHYzAAAAANShyjpJkpKSlJmZ6Vc9DO0DAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAAD1VLt27WQYhtq1axfspvjFNE0dOnRIn3/+ub799lu5XK5gN6naCFIAAAAA6tSOHTs0ZswYNW/eXK1atVK/fv3UtWtXxcTEqGvXrlq2bJlM0wx2My0hSAEAAADw6bbbbqtxj9fatWvVq1cvLVmyRKdOnSp3/Ntvv9WoUaM0YsQIFRQU1KC1gUWQAgAAAFAnTp06pZtuukk5OTmSiqce37Rpk06ePKkff/xRL7/8ss4//3xJ0vvvv6+///3vwWyuJQQpAAAAAHVi0aJFOnLkiCTpscce0wsvvKBu3bqpadOmSk5O1u23367Vq1crKipKkvSf//wnmM21hCAFAAAAoE5s2bJFkhQZGakHHnjAZ5nOnTtryJAhkqT9+/fr2LFjgWpejRCkAAAAgAbM7XbrjTfe0IgRI9S6dWtFR0erbdu26t+/v+bOnevzuaUBAwbIMAwtXLhQkrRv3z4ZhiHDMDRlyhS/r/3DDz9Iktq2batmzZpVWO7iiy8ud06oiwh2AwAAAADUjUOHDmnkyJFKS0vz2n/gwAEdOHBA69at07Rp0/Tuu++qT58+tX793/3ud7r22mvVunXrSstlZmZ6tkuemQp1BCkAAACgAcrJydHAgQO1Y8cOSdK1116rQYMGqV27dtq3b59WrVqljz76SAcPHlT//v2Vlpamyy67TJL09NNPKzs7W7Nnz9bq1auVkJDg6Z266KKL/G7DX/7ylyrLbN26Vf/9738lST179lTbtm2tvtSgIEgBAAAg4EzTlKuw6sVY/SlT2TnZZ7KrVYctwuZXGcMwLNcdKJMnT9aOHTsUFhamt99+WzfccIPX8YkTJ+rdd9/VmDFjlJeXpzvuuEPr169XWFiYevfuLUl68803JUk2m02DBw+ulXZ99dVX2rVrl7Kzs7Vu3Tp98MEHys/PV3x8vP7zn/+E9M+0NIIUAAAAAs5V6FKf12t/KFlZQ5YOqbO608alKSYyps7qr4mTJ09q7ty5kqRJkyaVC1ElRo0apUceeUTTp09Xenq6vv32W1166aV12rapU6dq1apVXvt++9vfav78+UpKSqrTa9cmJpsAAAAAGpjPPvvMs3bTzTffXGnZ0aNHe7bXrl1bl82q0Mcff6x7771XTqczKNevDnqkAAAAEHC2CJvSxqVVWa66Q/tKeqJW3LDCr2F6vtpXG2WCZcOGDZ7t1NRUv887dOhQXTTHy8qVK+V2u3Xo0CHt2LFDc+bM0fvvv6+lS5fqm2++0YYNG3TuuefWeTtqiiAFAACAgDMMw69hcdUZOpdbkOvZjm8SH7LD7+rS0aNHq3XeiRMnarklvoWFhal169Zq3bq1fvOb3+jOO+/UvHnztHv3br3wwgt67LHHAtKOmiBIAQAAACEmPz9fubnFgTAmJkZRUVGWzi8sLPRsL1myRDEx/oXJNm3aWLpObZk6darmzZsnSVqzZg1BCgAAAIB1r7/+um6//XZJ0oIFC3Tbbbf5LJeXl+dzf3x8vGf74osvVteuXWu9jVXZs2ePHn/8cUnSrbfeqmuvvbbCsomJiYqPj1d2draysrIC1cQaIUgBAAAAIab0FOAlk0aUVVRUpMOHD0tSuR6n0sEpIyOj0iDldDq1efNmSVLv3r29QlhNxMXFadGiRZKktm3bVhqkcnNzdezYMUnSOeecUyvXr2vM2gcAAACEmPbt23u29+7d67PMgQMH5Ha7JUmdOnXyOnb11VcrLKz4o/4zzzzjKefL3/72Nw0ZMkSjR49WZGRkTZvu0bJlSzVv3lxS8WyApmlWWPajjz7yHC9ZwyrUEaTOcjqdSk1N9fnlcDiC3TwAAAA0Ip07d/Zsv/POO8rPzy9XZsGCBT7LS1Lr1q114403SpLS09P16KOPej03VWLJkiV69dVXJUljxoxR06ZNfbYnJyen0iDki2EY6tOneK2wr7/+Wi+++KLPOvbs2SO73e75vqJhjLXF4XBU+LnfyvTrhmn1J9LAJCUlKTMzU23atNGBAweC3Zxa4c7N1c7uPSRJKZvSFVbBw4X+lgMAAKhPcgtyPYv9hvKiuVUZMmSIVq5cKUn63e9+p7lz5+qcc86RaZp65513dPvttysnJ0dxcXHKyMhQ27Ztvc4/ePCgfvWrX3mG//Xs2VM33HCDOnbsqOPHj2vFihV699135Xa71a5dO3399ddKTEz0quNPf/qT5s+fL0n617/+pT59+uicc87x6jGrzBdffKH+/ft7esSuvfZaDR48WO3atdPRo0e1adMmLViwwBMUJ06cqNmzZ1f/h1ZDVrIBz0gBAAAAIWju3Lnq0qWLTp8+rbfeekuLFy/2BJBTp055yj311FPlQpQktWrVSmvXrtXQoUO1Z88ebdy4URs3bixX7pJLLtHSpUvLhSipeJhdSZC66667JEmTJ0/WlClT/HoNV111lebPn6+//vWvys/P18cff6yPP/64XDnDMDRp0iRNnz7dr3pDAUEKAAAACEHJycnavHmz7r77bq1atUqmaXo9L5WcnKwXX3xR1113XYV1dOrUSdu3b9f8+fO1dOlSbdu2TcePH9cFF1ygjh07asyYMbrlllsUEeE7Ftxxxx366aeftHDhQjmdTp133nlKSEiw9Dpuu+02XXXVVZo3b562bNmiPXv2KDMzU0lJSerYsaO6du2qO+64Qx07drRUb7AxtI+hfVWWAwAAqE8aytC+EqZp6vvvv1dGRoZ27dqlxMREde7cWV26dFF0dHSwm9egMLQPAAAAaCAMw1BKSopSUlKC3RSUwqx9AAAAAGARQQoAAAAALGJoHwAAABqUmMgYbbt1W7CbgQaOHikAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAQIPizs3Vjks6acclneTOzQ12c9BAEaQAAAAAwCKCFAAAAABYFBHsBoQKp9Op1NRUn8fsdrvsdnuAWwQAAACgtjkcDjkcDp/HnE6n3/UQpM5KTExURkZGsJsBAAAA+K1du3bat2+fkpOT9eOPPwa7OfVCZZ0kSUlJyszM9KsehvYBAAAACIqNGzcqKipKhmHUuyBIkAIAAADg02233SbDMNSuXbtar/vUqVMaO3asCgoKar3uQCBIAQAAAAi48ePHa/fu3cFuRrURpAAAAAAE1P/93//ptddeC3YzaoQgBQAAACBgfvjhB40fP16S1KpVqyC3pvoIUgAAAEAD5na79cYbb2jEiBFq3bq1oqOj1bZtW/Xv319z587VqVOnyp0zYMAAGYahhQsXSpL27dsnwzBkGIamTJlS7bbk5eVp7NixysnJ0YABA3THHXdUu65gI0gBAAAADdShQ4fUt29fjRs3Tv/973918OBB5efn68CBA1q3bp3uuusupaSkKC0tLSDtefjhh7Vp0ybFx8fr1VdfVXh4eECuWxdYRwoAAABogHJycjRw4EDt2LFDknTttddq0KBBnrWnVq1apY8++kgHDx5U//79lZaWpssuu0yS9PTTTys7O1uzZ8/W6tWrlZCQ4Omduuiii6rVnhUrVugf//iHJGn+/PlKSkqqhVcZPAQpAAAABJxpmjJdrirLuf0oU9k5hdnZCqtGHWE2W5VlDJtNhmFYrjtQJk+erB07digsLExvv/22brjhBq/jEydO1LvvvqsxY8YoLy9Pd9xxh9avX6+wsDD17t1bkvTmm29Kkmw2mwYPHlztthw8eFC33nqrJOmuu+7SyJEjq11XqCBIAQAAIOBMl0s7u/eo8+vsvubaOqs7ZVO6jJiYOqu/Jk6ePKm5c+dKkiZNmlQuRJUYNWqUHnnkEU2fPl3p6en69ttvdemll9ZqW9xut2655RYdOXJEnTt31uzZs2u1/mCp989Iud1u/fDDD1q7dq02btyoY8eOBbtJAAAAQFB99tlnysnJkSTdfPPNlZYdPXq0Z3vt2rW13pZnnnlGq1evVnR0tN544w3Z/Ojtqw+q3SPldDo1d+5cbdy4Ud9//73279+v9u3bq3Pnzvrtb3+r22+/3efDY0VFRYqJiVF+fr5f19m7d6/PlZTdbrfmzJmjf/7zn/rpp588+8PDwzV48GDNnj1bKSkp1X15AAAAqEOGzaaUTelVlqvu0L6SnqgOqz/2a5heWf4O7QtVGzZs8Gynpqb6fd6hQ4dqtR1paWl69NFHJUmzZ89W165da7X+YKpWkFqxYoV+//vf68SJE177MzIylJGRobffflv/+te/9J///Efdu3f3KvPTTz/5HaIqUlRUpDFjxmjZsmU+jy1fvlxr1qzRypUr1a9fvxpdCwAAALXPMAy/hsWFVWPonDs317MdER9frTrqu6NHj1brvLKf72vixIkT+v3vf6/CwkINGzbMs3ZUQ2E5SGVkZGj06NFynf3rwLBhw3TNNdeoVatW2rlzp9544w1lZGRo06ZNGjhwoNLS0rx6hn744QfP9ty5c5WcnFzp9RITE8vtmz59uidEde/eXbNnz1avXr107Ngxvfzyy5o6dapcLpdGjRql7777Ti1btrT6MgEAAICgyc/PV+7ZQBgTE6OoqChL5xcWFnq2lyxZohg/w2SbNm0sXacy//rXv7R3715FRkbqpptu0qpVq8qV2bVrl2f7s88+03fffSdJ6tatm88cEEosB6mSkCJJL7zwgsaPH+81W8lDDz2k++67Ty+++KJOnDihe++9VytXrvQcLx2k/vCHPyg2NtbS9Q8fPqxZs2ZJktq3b6+1a9eqadOmkqTY2Fg9/vjjOvfcc3XPPfcoOztbs2bN0lNPPWX1ZQIAAABB8/rrr+v222+XJC1YsEC33Xabz3J5eXk+98fHx3u2L7744qAMqTtz5owkqaCgQP/v//2/KsuXfo3vvvtuyM/sZ2myiTNnzujdd9+VVNwTVDZESVJUVJSeffZZdenSRZK0atUqZWZmeo6XBKmkpCTLIUqS3njjDc+Dc/fff78nRJVmt9uVkJAgqfgXz+12W74OAAAAECylP2OXfPYtq6ioSIcPH5akcj1OpYNTRkZGpddyOp1auXKlVq5cqezs7Oo2udGxFKS++eYbFRQUSJLGjBlT4bz5UVFRGjp0qOf7zZs3e7ZLglTHjh0tN1aSPvjgA8/28OHDfZYJCwvTsGHDJElHjhzxetgOAAAACHXt27f3bO/du9dnmQMHDng6DDp16uR17Oqrr1ZYWPFH/WeeeabSjoW//e1vGjJkiEaPHq3IyMiaNt1jypQpxeuFVfI1efJkT/m9e/d69od6b5RkMUg5nU7PdlXPNrVq1cqz7So120rZIHXmzBnt2LFDn376qbZt2+YJahXZuXOnpOKU3bZt2wrLXX/99Z7tTZs2VVonAAAAEEo6d+7s2X7nnXd8Tta2YMECn+UlqXXr1rrxxhslSenp6Xr00Ue9npsqsWTJEr366quSijtKfI32kop7xUzTtP5CGjBLQapLly5asGCBFixYoP79+1datnQvUEloKigo0J49eyRJ0dHR+utf/6qmTZsqNTVVAwcO1KWXXqoWLVroz3/+s/bv31+uTtM0PVMyVhXkSoeskvAFAAAA1ActWrTQ4MGDJUn79u3TLbfcouPHj0sq/kz89ttve+YNiIuL05///OdydTz77LOex11mzpypK664QjNnztSSJUs0f/58jRkzRjfddJPcbrfatWunp59+ulwdERHFUyocPXpU8+bN0+bNmyvsIWtsLE02ceGFF+rCCy+sstzWrVv15ptvSip+Fqqkq/HHH39UUVGRJGnOnDk+zz116pReeuklLV26VMuWLdOvf/1rz7Hs7GxPj1XpB+h8adGihWf74MGDVbYZAAAACCVz585Vly5ddPr0ab311ltavHix2rVrp6NHj+rUqVOeck899ZTPkVqtWrXS2rVrNXToUO3Zs0cbN27Uxo0by5W75JJLtHTpUp+z5PXu3Vvz58+XJN11112SpMmTJ2vKlCm19Crrr2ovyFuR9PR0DRs2zNN1OGnSJM90jaVn7JOksWPH6m9/+5s6duyoI0eOaMuWLZo6dao2b96s7OxsjRw5Ut98842SkpIkeQei0kHJl9LHK3pArzTTNHXy5En/XqQP0dHRio6Orvb5AAAAQGnJycnavHmz7r77bq1atUqmaXr1BiUnJ+vFF1/UddddV2EdnTp10vbt2zV//nwtXbpU27Zt0/Hjx3XBBReoY8eOGjNmjG655RZPz1NZd9xxh3766SctXLhQTqdT5513nqeXKxTl5eVVOJOhP6wMX6y1IHXy5EnNnDlTs2bN8oSocePG6c477/SU2b17t8LDwyVJjz/+uB577DHPhBXJyclKTk7Wddddp9///vdasmSJsrOzNX36dM2bN89zjRK2KlaSLh1qXH6siJ2VlaXmzZv7+WrLI5kDAACgtl100UVasWKFvv/+e2VkZGjXrl1KTExU586d1aVLF7/+kN+kSRPZ7XbZ7XbL1w8PD9eMGTM0Y8aM6jS/SlOmTKnVz9AzZ87U1KlTa62+ytQ4SBUUFOg///mPpkyZoiNHjnj2/+lPf9KLL77omS1EkiZMmKAJEyZUWl9kZKTmzJmjlStXKicnR4sXL5bD4VBERITXwrolY0QrUvp4VaFLKn4gb8eOHVWWqwi9UQAAAKgLhmEoJSVFKSkpwW5KyJs0aZImTpxY7fM7deqkrKwsv8rWKEht2bJFf/zjH72mN7/gggs0d+5cDRkypNr1tmnTRldccYVWr16t48ePa/fu3UpJSfGaCbCqOe5LH4+Li6vymoZhqFmzZtVuMwAAAIDgqunjNhUt7+SLpVn7ShQVFemxxx5Tr169PCEqPj5es2fP1s6dO2sUokpccsklnu2ff/5ZUnEgKlnEt6ogdezYMc92ZdOkAwAAAIBVlnukTNOU3W73PLdkGIYmTJigqVOn6pxzzqm1hpWe5770s0utWrXSrl27tHXrVrndbq+hg6Vt3brVs52amlpr7QIAAEBoC4uJUafvqv/IBuAPyz1SM2bM8ISoxMREffHFF5ozZ06VISonJ0e/+tWv1KVLFz300ENVXqfkeaXIyEivNaN69uwpSTp06JDS09MrPP/999/3bPft27fK6wEAAACAvywFqZMnT+qpp56SJJ177rn68ssv/Q4psbGxatOmjbZv364XX3zRa+hdWdu3b9eXX34pSerfv7/XM04jRozwbC9ZssTn+cePH9eaNWskFT8wxoN5AAAAAGqTpSC1aNEiz5pMTzzxhDp06GDpYn/4wx8kFfdOjR071ucc75mZmbr99ts9Q/vK9l6NGjXK00M1Z84cbdmyxet4UVGR7Ha7zpw5I0m6//77LbURAAAAAKpi6RmpdevWebZjY2O1cuVKv87r3bu34uPj9bvf/U6LFy/WsmXL9NFHH6ljx476y1/+oo4dO+rkyZP69ttvNX/+fM9KzePHj9e1117rVVd0dLTmzJmjkSNH6syZM+rXr58mTJigHj16KDs7W6+88oqnN+vyyy/XrbfeauUlAgAAAECVLAUpp9Pp2bYSUD799FMNGDBAYWFhevXVVzVixAitWbNGP/30kx599NFy5Q3D0AMPPKCZM2f6rG/EiBF6/vnndd999+nUqVN68skny5Xp0aOH3nvvvQpXaQYAAACA6rI0tK90kKquuLg4rV69Wh9//LFGjhypzp07e6Y1v+SSSzR+/Hht27ZNTz/9tMLDwyus5+6779bGjRv1xz/+UcnJyYqKilJ8fLz69u2rF154QV999ZUSEhJq3F4AAAAAKMtSd8327dtr5aKGYeiaa67RNddcU6N6LrvsMs2fP79W2gQAAAAA/qrWgrwAAAAA0JgRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsigt2AUOF0OpWamurzmN1ul91uD3CLAAAAANQ2h8Mhh8Ph85jT6fS7HoLUWYmJicrIyAh2MwAAAADUoco6SZKSkpSZmelXPQztAwAAAACLCFIAAAAAYBFBCgAAAAAsIkg1YqZpSpLOREqXvd1HXRd21c+un5VbkOs5BgAAAKA8glQj5io8U27fgMUD1Of1PnIVuoLQIgAAAKB+IEgBAAAAgEUEKQAAAACwiCAFNSmQvhq5Vmnj0oLdFAAAAKBeIEgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYFBHsBoQKp9Op1NRUn8fsdrvsdnuAWwQAAACgtjkcDjkcDp/HnE6n3/UQpM5KTExURkZGsJsBAAAAoA5V1kmSlJSkzMxMv+ohSEGStL/PVZKkZveEKS/SkGmaQW4RAAAAELoIUvDy0nNuSZJ50xkpKjbIrQEAAABCE5NNAAAAAIBF9Eg1Yoatif7f/eGSpLU3fSbT5dKBAdcGuVUAAABA6CNINWKGYSgvypAkhcXY5A5yewAAAID6gqF9AAAAAGARQQoAAAAALGJoXz1nmqZMl0uS5Ha59MOVVwW5RQAAAEDDR5Cq50yXSzu79wh2MwAAAIBGhaF9AAAAAGARQaoB6bD6Y8/2xV9+oZRN6TJstiC2CAAAAGiYGNrXgETEx6vTdzuC3QwAAACgwaNHCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFEcFuQKhwOp1KTU31ecxut8tutwe4RQAAAABqm8PhkMPh8HnM6XT6XQ9B6qzExERlZGQEuxkAAAAA6lBlnSRJSUnKzMz0qx6G9gEAAACARQSpRsI0TeUW5Opn18/qurCrui7squwz2cFuFgAAAFAvMbSvkXAVutTn9T5e+4YsHRKk1gAAAAD1Gz1SAAAAAGARPVKN0Nqb1soWYfPaZ4uwKUeuILUIAAAAqF8IUo2QLcKmmMiYYDcDAAAAqLcY2gcAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkIJPx/KOqevCruq6sKt+dv2s3IJcmaYZ7GYBAAAAIYEgBZ9GvjfSsz1g8QD1eb2PXIWu4DUIAAAACCEEKQAAAACwKCLYDUDosEU08Wx/dtNnCouxyVXo0oDFA4LXKAAAACAEEaTOcjqdSk1N9XnMbrfLbrcHuEWBZxiGZzsm0qawyJggtgYAAACofQ6HQw6Hw+cxp9Ppdz0EqbMSExOVkZER7GYAAAAAqEOVdZIkJSUpMzPTr3p4RgoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALAoItgNyMzM1L59+yRJycnJatOmjaXz3W63du/erczMTMXFxalDhw4699xz66KpAAAAACCpBj1STqdTU6dO1bBhw5SSkqKYmBh17txZN910k1566SUVFRVVev6KFSvUq1cvJSUl6corr9SVV16ppKQk9ezZUx9++GGV13e73Xr22WfVvn17dezYUVdffbV69eqlli1baujQodq5c2d1XxoAAAAAVKpaQWrFihVKSUnRlClT9MEHH+j777+Xy+VSRkaG3n77bf35z39W7969tWnTJp/nz549W9ddd502btxY7lh6erquv/56zZo1q8LrFxUVafTo0Zo4caJ++umncseWL1+ubt26ad26ddV5eQAAAABQKctBKiMjQ6NHj9aJEyckScOGDdOcOXO0ePFiTZ8+XampqZKkTZs2aeDAgeV6htasWaMHH3xQknTeeedp0aJFys7OVnZ2tl577TW1aNFCkvTggw/qk08+8dmG6dOna9myZZKk7t2769NPP9Xp06e1f/9+TZ06VWFhYXK5XBo1apSOHDli9SUCAAAAQKUsB6mpU6fK5XJJkl544QW99957uueee3TjjTfq0Ucf1ebNmzV+/HhJ0okTJ3Tvvfd6zjVNU5MmTZJpmoqIiNBHH32kcePG6dxzz9W5556rm2++WR999JEiIoof3Xr44YdlmqbX9Q8fPuzprWrfvr3Wrl2rAQMGKDY2VklJSXr88cf1z3/+U5KUnZ1dac8WAAAAAFSHpSB15swZvfvuu5KKe4LGjx8vwzC8ykRFRenZZ59Vly5dJEmrVq1SZmamJGnr1q1av369JGnkyJHq1q1buWt0795dI0eOlCStX79e27dv9zr+xhtvKCcnR5J0//33q2nTpuXqsNvtSkhIkCQtWLBAbrfbyssEAAAAgEpZClLffPONCgoKJEljxowpF6JKREVFaejQoZ7vN2/eLEn64IMPPPtGjBhR4XVKH1u+fLnXsdJ1DB8+3Of5YWFhGjZsmCTpyJEj2rBhQ4XXAgAAAACrLAUpp9Pp2U5OTq60bKtWrTzbJUMBSz8vdd1111V4buljZSesKKmja9euatu2bYV1XH/99RXWAQAAAAA1YWkdqS5dumjBggWSpP79+1datnQvUMeOHSVJBw8elCTFxcUpPj6+wnPj4+MVGxurnJwcr/BlmqYOHTokqeogVzpkMRU6AAAAgNpkKUhdeOGFuvDCC6sst3XrVr355puSpKSkJHXq1EmSPCGoshBVokWLFsrJyfGEL6l48oiSoYVV1VEy+58krzoAAAAAoKYsBSl/pKena9iwYSosLJQkTZo0SVFRUZJ+CTSlQ05FWrRooZ9++skzsUTp8/2po/Tx0nVUxDRNnTx5sspyFYmOjlZ0dHS1zwcAAABQM3l5ecrLy6v2+WVnDK9MrQWpkydPaubMmZo1a5YnRI0bN0533nmnVxlJstlsVdZXEkpKnq8qfb4/dZQONaXrqEhWVpaaN29eZbmKTJ48WVOmTKn2+QAAAABqZubMmZo6dWpArlXjIFVQUKD//Oc/mjJlitfit3/605/04osvKizsl/ksWrZsqaysLB0/frzKekvKlA5MLVu2LHe8qvPL1lGR1q1ba8eOHVWWqwi9UQAAAEBwTZo0SRMnTqz2+Z06dVJWVpZfZWsUpLZs2aI//vGPnunNJemCCy7Q3LlzNWTIkHLlW7VqpaysLGVnZ1dZd0mZuLg4r/PLHq/q/LJ1VMQwDDVr1qzKcgAAAABCU00ft6loeSdfLE1/XqKoqEiPPfaYevXq5QlR8fHxmj17tnbu3OkzREnS+eefL6k45FQ2/tA0TR07dkyS9+x7cXFxio2N9dRRmZLzy9YBAAAAADVlOUiZpim73a4ZM2aosLBQhmHonnvu0e7duzVx4kQ1adKkwnNLepTy8/MrnZJ8586dntn5UlNTfdaxdetWud3uCuvYunWrZ7tsHQAAAABQE5aD1IwZMzRv3jxJUmJior744gvNmTNH55xzTpXn9uzZ07P9/vvvV1iu9LG+ffv6rOPQoUNKT0+vVh0AAAAAUBOWgtTJkyf11FNPSZLOPfdcffnll5ZCyrBhwzzjDpcsWeJzeJ9pmlq6dKmk4jGKw4cP9zo+YsQIz/aSJUt8Xuf48eNas2aNpOIHxlJSUvxuIwAAAABUxVKQWrRokWdNpieeeEIdOnSwdLHWrVtr7NixkqS0tDT9+9//Lldm3rx5+vrrryVJN998s9cEE5I0atQoJScnS5LmzJmjLVu2eB0vKiqS3W7XmTNnJEn333+/pTYCAAAAQFUszdq3bt06z3ZsbKxWrlzp13m9e/dWfHy8JOnJJ5/UqlWrlJ2drTvvvFNfffWVhgwZIrfbreXLl2vRokWSihfUnTFjRrm6oqOjNWfOHI0cOVJnzpxRv379NGHCBPXo0UPZ2dl65ZVX9OWXX0qSLr/8ct16661WXiIAAAAAVMlSkHI6nZ5tKwHl008/1YABAyRJ7dq103vvvacbbrhBR44c0cKFC7Vw4UKv8gkJCVq2bJmn56msESNG6Pnnn9d9992nU6dO6cknnyxXpkePHnrvvfcUEVFraw4DAAAAgCSLQ/tKB6mauOqqq7Rt2zY9/PDDSk1NVWxsrOLi4tS5c2c98sgj+vbbb3XFFVdUWsfdd9+tjRs36o9//KOSk5MVFRWl+Ph49e3bVy+88IK++uorJSQk1Ep7AQAAAKA0S90127dvr7ULJyYm6oknntATTzxR7Touu+wyzZ8/v9baBAAAAAD+qNaCvAAAAADQmBGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFgUEewGhAqn06nU1FSfx+x2u+x2e4BbBAAAAKC2ORwOORwOn8ecTqff9RCkzkpMTFRGRkawmwEAAACgDlXWSZKUlKTMzEy/6mFoHwAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsCgi2A0IFU6nU6mpqT6P2e122e32ALcIAAAAQG1zOBxyOBw+jzmdTr/rIUidlZiYqIyMjGA3AwAAAEAdqqyTJCkpSZmZmX7Vw9A+AAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWRQS7Aag/XIWucvtsETYZhhGE1gAAAADBQ5CC3wYsHlBuX9q4NMVExgS+MQAAAEAQMbQPAAAAACyiR+osp9Op1NRUn8fsdrvsdnuAWxQabBE2pY1Lk6vQ5emRWnHDCg1ZOiS4DQMAAACqweFwyOFw+DzmdDr9rocgdVZiYqIyMjKC3YyQYxiGYiJjFBMZo223bpMk5RbkBrlVAAAAQPVU1kmSlJSkzMxMv+phaB8AAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFgUEewGIMSZplSQK+XnSrMuKt73P9u8jwMAAACNDEEKlSvIlZ5s7b3vn12l9hcUbxe6pKjYwLcLAAAACCKG9gEAAACARfRIwX8P7JKiYqTcn6X3rg92awAAAICgIUjBf1ExxcP4Cl3BbgkAAAAQVAztAwAAAACLCFIAAAAAYBFBCgAAAAAs4hkp/KL0mlA5R6WnuwavLQAAAEAIo0cKvygoNYnEHEIUAAAAUBGCFAAAAABYxNA++HbvNql5C+99kTHBaQsAAAAQYghS8C3y7JpRAAAAAMohSJ3ldDqVmprq85jdbpfdbg9wi4LL7XJJUble+wybTYZhBKlFAAAAQM05HA45HA6fx5xOp9/1EKTOSkxMVEZGRrCbETJ+uPq35falbEqXEcPwPgAAANRflXWSJCUlKTMz0696mGwCAAAAACwiSMHDsDVRypiDShlzUBd/+lGwmwMAAACELIIUPAzDUFiEqbAIUxEt4tXpux1K2ZQe7GYBAAAAIYcgBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARRHBbkBNud1u7d69W5mZmYqLi1OHDh107rnnBrtZAAAAABqwWuuRcjgcMgxDU6ZMqbRcUVGRoqOjZRiGX18//vijz3rcbreeffZZtW/fXh07dtTVV1+tXr16qWXLlho6dKh27txZWy8NAAAAALzUWpB67bXX/Cr3008/KT8/v0bXKioq0ujRozVx4kT99NNP5Y4tX75c3bp107p162p0HfghP1fKz/nlyzSD3SIAAACgztXK0L4FCxbo66+/9qvsDz/84NmeO3eukpOTKy2fmJhYbt/06dO1bNkySVL37t01e/Zs9erVS8eOHdPLL7+sqVOnyuVyadSoUfruu+/UsmVL/18M/GZzuxXzz67eOx/OkqJig9MgAAAAIECqHaROnDihrVu3asGCBX73RkneQeoPf/iDYmOtfeg+fPiwZs2aJUlq37691q5dq6ZNm0qSYmNj9fjjj+vcc8/VPffco+zsbM2aNUtPPfWUpWsAAAAAQGWqNbSvd+/eOuecc9SvXz8tWLBABQUFfp9bEqSSkpIshyhJeuONN5STkyNJuv/++z0hqjS73a6EhARJxb1lbrfb8nVQiQhbsFsAAAAABFW1gtThw4erfcGSINWxY8dqnf/BBx94tocPH+6zTFhYmIYNGyZJOnLkiDZs2FCta6EChiFJcoWFKfeRg8XD+QAAAIBGpFpBaufOnXK5XJ6v7777zu9zywapM2fOaMeOHfr000+1bdu2Knu3Smbj69q1q9q2bVthueuvv96zvWnTJr/bBwAAAABVqVaQio6OVpMmTTxf0dHRfp1XUFCgPXv2eOr461//qqZNmyo1NVUDBw7UpZdeqhYtWujPf/6z9u/fX+580zR16NAhSapykorSIYup0AEAAADUplqb/twfP/74o4qKiiRJc+bM0b///W8VFhZ6lTl16pReeukl/epXv9Lnn3/udSw7O9vTYxUfH1/ptVq0aOHZPnjwYG00HwAAAAAk1dL05/4qPWOfJI0dO1Z/+9vf1LFjRx05ckRbtmzR1KlTtXnzZmVnZ2vkyJH65ptvlJSUJMk7EJUOSr6UPl4yOUVlTNPUyZMnrbwcL9HR0X73zAEAAACofXl5ecrLy6v2+aaFNVEDGqR2796t8PBwSdLjjz+uxx57TMbZiQuSk5OVnJys6667Tr///e+1ZMkSZWdna/r06Zo3b54keQUdm63ymeNKhxqXy1Vl27KystS8eXPLr6nE5MmTNWXKlGqfDwAAAKBmZs6cqalTpwbkWgENUhMmTNCECRMqLRMZGak5c+Zo5cqVysnJ0eLFi+VwOBQREeG1sO7x48crraf08apClyS1bt1aO3bsqLJcReiNAgAAAIJr0qRJmjhxYrXP79Spk7Ky/JuROqBByl9t2rTRFVdcodWrV+v48ePavXu3UlJS1KpVK0+Z7OzsSusofTwuLq7KaxqGoWbNmlW/0QAAAACCqqaP25SMlvNHQCebsOKSSy7xbP/888+SigNRySK+VQWpY8eOebYrmyYdAAAAAKwK2SBVeja/0s8ulfRKbd26VW63u8Lzt27d6tlOTU2tgxYCAAAAaKwCFqRycnL0q1/9Sl26dNFDDz1UZfmS55UiIyO91ozq2bOnJOnQoUNKT0+v8Pz333/fs923b9/qNhsAAAAAyglYkIqNjVWbNm20fft2vfjii15D78ravn27vvzyS0lS//79vZ5xGjFihGd7yZIlPs8/fvy41qxZI6n4gbGUlJTaeAkAAAAAICnAQ/v+8Ic/SCrunRo7dqzPOd4zMzN1++23e4b2le29GjVqlKeHas6cOdqyZYvX8aKiItntdp05c0aSdP/999f2ywAAAADQyAV01r7f/e53Wrx4sZYtW6aPPvpIHTt21F/+8hd17NhRJ0+e1Lfffqv58+fr1KlTkqTx48fr2muv9aojOjpac+bM0ciRI3XmzBn169dPEyZMUI8ePZSdna1XXnnF05t1+eWX69Zbbw3kSwQAAADQCAQ0SIWFhenVV1/ViBEjtGbNGv3000969NFHy5UzDEMPPPCAZs6c6bOeESNG6Pnnn9d9992nU6dO6cknnyxXpkePHnrvvfcUERGSM7wDAAAAqMcCPmtfXFycVq9erY8//lgjR45U586dPdOaX3LJJRo/fry2bdump59+WuHh4RXWc/fdd2vjxo364x//qOTkZEVFRSk+Pl59+/bVCy+8oK+++koJCQkBfGUAAAAAGota6a5p166dTNP0u7xhGLrmmmt0zTXX1Oi6l112mebPn1+jOgAAAADAqpBdRwoAAAAAQhVBCgAAAAAsIkgBAAAAgEUEKQAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsCgi2A0IFU6nU6mpqT6P2e122e32ALcIAAAAQG1zOBxyOBw+jzmdTr/rIUidlZiYqIyMjGA3AwAAAEAdqqyTJCkpSZmZmX7Vw9A+AAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEUEKQAAAACwKCLYDUADk59bfl9kjGQYgW8LAAAAUEcIUqhdsy4qv+/hLCkqNvBtAQAAAOoIQ/sAAAAAwCJ6pBog0zTlKnR57Sv7fa2KjCnudZKKh/b56pUCAAAAGhCCVAPkKnSpz+t9AndBw/hl6F5UrDTlhJSfIz3ZOnBtAAAAAAKIoX2okT6v91HXhV31s+tn5RbkyjTNYDcJAAAAqHP0SDUSa29aK1uETZI8/5VpSgWlZtnzNeOenwYsHiBJShuXppjImGrXAwAAANQHBKkGrtJgU5DL8DsAAACgGghSsMwWYVPauDTP965Cl6dHCgAAAGgMCFIo9sAuKapUz1Ulw/MMw2D4HgAAABo1ghSKRcWwaC4AAADgJ2btAwAAAACL6JE6y+l0KjU11ecxu90uu90e4BYBAAAAqG0Oh0MOh8PnMafT6Xc9BKmzEhMTlZGREexmAAAAAKhDlXWSJCUlKTMz0696GNoHAAAAABYRpAAAAADAIoIUAAAAAFhEkAIAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsigh2A0KF0+lUamqqz2N2u112uz3ALQIAAABQ2xwOhxwOh89jTqfT73oIUmclJiYqIyMj2M0AAAAAUIcq6yRJSkpSZmamX/UwtA8AAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEQvyou492br4vw/skqJiircjYyTDCF6bAAAAgBogSCFwZl30y/bDWVJUbPDaAgAAANQAQ/sAAAAAwCJ6pFA3ImOKe51Ky8/17pUCAAAA6imCFOqGYTB0DwAAAA0WQ/sAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFrEg71lOp1Opqak+j9ntdtnt9gC3CAAAAEBtczgccjgcPo85nU6/6yFInZWYmKiMjIxgNwMAAABAHaqskyQpKUmZmZl+1cPQPgAAAACwiCAFAAAAABYRpAAAAADAIoIUAAAAAFjEZBPwm9vlKrfPsNmC0BIAAAAguAhS8NsPV15Vbl/KpnQpMgiNAQAAAIKIoX0AAAAAYBE9UqiUYbMV9zqV4na5fPZOAQAAAI0FQQqVMgxDRkxMsJsBAAAAhBSG9gEAAACARfRIoU6YpilXQZH3zvxCxZQ6bgS8VQAAAEDtCHqQyszM1L59+yRJycnJatOmjaXz3W63du/erczMTMXFxalDhw4699xz66KpsMBVUKTUx1d57WuiM/quyS/HY6KD0DAAAACgFtTa0D6HwyHDMDRlyhS/yq9YsUK9evVSUlKSrrzySl155ZVKSkpSz5499eGHH1Z5vtvt1rPPPqv27durY8eOuvrqq9WrVy+1bNlSQ4cO1c6dO2v4iuAv0zQ9266CIuXmFyo3v6iSMwAAAID6rdZ6pF577TW/y86ePVsPPPCAz2Pp6em6/vrr9cwzz1RYpqioSGPGjNGyZct8Hlu+fLnWrFmjlStXql+/fn63C9VzptDt2e4xbbWkKK/jGx+9RjFR4co9fVJ6LsCNAwAAAOpArfRILViwQF9//bVfZdesWaMHH3xQknTeeedp0aJFys7OVnZ2tl577TW1aNFCkvTggw/qk08+8VnH9OnTPSGqe/fu+vTTT3X69Gnt379fU6dOVVhYmFwul0aNGqUjR47U/AWiRmKiwhUTFaGYqPBgNwUAAACoFdXukTpx4oS2bt2qBQsW+N0bZZqmJk2aJNM0FRERoY8++kjdunXzHL/55pvVqVMn9enTR4WFhXr44Yf19ddfyzB+mZbg8OHDmjVrliSpffv2Wrt2rZo2bSpJio2N1eOPP65zzz1X99xzj7KzszVr1iw99dRT1X2ZsOjz/71aLWLivPbZIglQAAAAaFiq1SPVu3dvnXPOOerXr58WLFiggoICv87bunWr1q9fL0kaOXKkV4gq0b17d40cOVKStH79em3fvt3r+BtvvKGcnBxJ0v333+8JUaXZ7XYlJCRIKu4tc7vd5cqgbvzS+/TLV+kgDAAAADQE1QpShw8frtbFPvjgA8/2iBEjKixX+tjy5csrrGP48OE+zw8LC9OwYcMkSUeOHNGGDRuq1V5Y5yp0Kbcg1+ur9GQUAAAAQENQraF9O3fu9PpwvG/fPl1yySV+nVfiuuuuq7Bc6WObNm3yWUfXrl3Vtm3bCuu4/vrrNX/+fE8dffr0qbJ9qLkh7/6m3L60cWmKiYzxfJ9rRit1xheSpI2P/kYxURGyRYbTcwUAAIB6o1pBKjo6utLvK3Lw4EFJUlxcnOLj4yssFx8fr9jYWOXk5HiFL9M0dejQIUnFa05VpnTIYir00NVzRvGEIhnTBikmKujLmgEAAAB+Cegn15IQVFmIKtGiRQvl5OR4wpckZWdne57HqqqOktn/JHnVgdrXJLyJTn03TZKU/tg1skWGy1Xo0oDFA4LbMAAAAKCOBDRIlQSa0iGnIi1atNBPP/3kmVii9Pn+1FH6eOk6KmKapk6ePFlluYpER0f73TPX0BiGIZnFa0fZImyKifT9a1Uye1+MkaeMR69Srpqo54zVAWsnAAAAGra8vDzl5eVV+3wrz/YHNEiVBBWbzVZl2ZJQ4nK5yp3vTx2lQ03pOiqSlZWl5s2bV1muIpMnT9aUKVOqfX5jUPoZqOJhfEyLDgAAgNozc+ZMTZ06NSDXCmiQatmypbKysnT8+PEqy5aUKR2YWrZsWe54VeeXraMirVu31o4dO6osV5HG2hsFAAAAhIpJkyZp4sSJ1T6/U6dOysrK8qtsQINUq1atlJWVpezs7CrLlpSJi/tlcddWrVqVO17V+WXrqIhhGGrWrFmV5QAAAACEppo+bmNlFulqrSNVXeeff76k4pBT2fhD0zR17NgxSd6z78XFxSk2NtZTR2VKzi9bBwAAAADUVECDVEmPUn5+fqVTku/cudMzO19qaqrPOrZu3Sq3211hHVu3bvVsl60DAAAAAGoioEGqZ8+enu3333+/wnKlj/Xt29dnHYcOHVJ6enq16gAAAACAmghokBo2bJhn3OGSJUt8Du8zTVNLly6VVDxGcfjw4V7HR4wY4dlesmSJz+scP35ca9askVT8wFhKSkqttB+1KD9Xys+RTWdk0xnJwlSTAAAAQLAFNEi1bt1aY8eOlSSlpaXp3//+d7ky8+bN09dffy1Juvnmm70mmJCkUaNGKTk5WZI0Z84cbdmyxet4UVGR7Ha7zpw5I0m6//77a/tlNHqlA3BufqFy84usVzLrIsXMukA7mvxRO5r8USrIrcUWAgAAAHUroLP2SdKTTz6pVatWKTs7W3feeae++uorDRkyRG63W8uXL9eiRYskFS+oO2PGjHLnR0dHa86cORo5cqTOnDmjfv36acKECerRo4eys7P1yiuv6Msvv5QkXX755br11lsD+voaA1dBcXA6Ex6lLn//vFbq/Pl0vlJnLJckbXz0N4qJipAtMtzSzCkAAABAoAQ8SLVr107vvfeebrjhBh05ckQLFy7UwoULvcokJCRo2bJlnp6nskaMGKHnn39e9913n06dOqUnn3yyXJkePXrovffeU0REwF8iKhIZIz38y7z8uTknFTPnEknStf9cJ6mJJKnnjE8kSRnTBp1duBcAAAAILUH5lHrVVVdp27Zteu6557Rs2TLt27dPhmEoOTlZI0eO1L333uu1+K4vd999t37961/rueee0yeffKKDBw8qLi5Ol1xyicaNG6e//OUvioyMDNArapyaFOVrw/1XKrb5L+t02SLDKz7BMKSo2F++zy+sw9YBAAAAdadWglS7du0qXRfKl8TERD3xxBN64oknqn3dyy67TPPnz6/2+ag5W2RYtXuNSoeuTY9eI0XFKje/SD1nrK6t5gEAAAB1gnFTCJrSzz/FREVIDOMDAABAPRHQWfsAAAAAoCEgSAEAAACARQQpAAAAALCIIAUAAAAAFhGkAAAAAMAighQAAAAAWESQAgAAAACLCFIAAAAAYBFBCgAAAAAsIkgBAAAAgEURwW5AqHA6nUpNTfV5zG63y263B7hFAAAAAGqbw+GQw+HweczpdPpdD0HqrMTERGVkZAS7GQAAAADqUGWdJElJScrMzPSrHoIUQlZuflG5fbbIcBmGEYTWAAAAAL8gSCFk9Zyxuty+jGmDFBPFry0AAACCi8kmAAAAAMAi/rSPkGKLDFfGtEFe+3Lzi3z2TgEAAADBQpBCSDEMg6F7AAAACHkM7QMAAAAAiwhSAAAAAGARQQoAAAAALCJIAQAAAIBFBCkAAAAAsIggBQAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARRHBbgBCm2machUUee1zFbiD1BoAAAAgNBCkUClXQZFSH1/ltS+6ME/LavtC+bnl90XGSIbhtSs33zvU2SLDZZQpAwAAANQ1ghQsM+ui0lkXld/3cJYUFeu1q+eM1V7fZ0wbpJgofo0BAAAQWHwChd82PnqNYqLC5c7N1f4PHpFU3CMEAAAANDYEKfgtJipcMVERchf+8mtTo2F1kTHFvU6l5eeW652yRYYrY9ogz/e5+UXleqYAAACAQCJIneV0OpWamurzmN1ul91uD3CLGgHDKDd0z3cxg+F7AAAAqBUOh0MOh8PnMafT6Xc9fDo9KzExURkZGcFuBgAAAIA6VFknSVJSkjIzM/2qh3WkAAAAAMAighQAAAAAWMTQvsbCNKWCMms1+Vq7CQAAAECVCFKNRUGu9GTrYLcCAAAAaBAY2gcAAAAAFtEj1Rg9sEuKivHeFxnju2wtcBW6yu2zRdhqtgYVAAAAEEQEqcYoKsav9Ztqy4DFA8rtSxuXppg6DG8AAABAXWJoHwAAAABYRI8U6oQtwqa0cWle+1yFLp+9UwAAAEB9Q5BCnTAMg6F7AAAAaLAY2gcAAAAAFhGkAAAAAMAighQAAAAAWMQzUqjXcvOLyu2zRYazRhUAAADqFEEK9VrPGavL7cuYNkgxUfxqAwAAoO7waRM14na5vL43bDZ6gwAAANDgEaRQIz9ceZXX9ymb0mXE1O2057bIcGVMG+S1Lze/yGfvFAAAAFAXCFKodwzDYOgeAAAAgopPo7DMsNmUsind873b5SrXMwUAAAA0ZAQpWGYYRp0P3wMAAABCGetIAQAAAIBF9Eid5XQ6lZqa6vOY3W6X3W4PcIsAAAAA1DaHwyGHw+HzmNPp9LsegtRZiYmJysjICHYzAAAAANShyjpJkpKSlJmZ6Vc9DO0DAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIWfsQuvJzy++LjJEMI/BtAQAAAEohSCF0zbqo/L6Hs6So2MC3BQAAACiFoX0AAAAAYBE9UggtkTHFvU6l5ef67p2qQG5+Ubl9tshwGQwJBAAAQC0hSCG0GEaNh+71nLG63L6MaYMUE8WvOwAAAGoHQ/sAAAAAwCL+RI8GwRYZroxpg7z25eYX+eydAgAAAGqKIIUGwTAMhu4BAAAgYBjaBwAAAAAWEaQAAAAAwCKCFAAAAABYRJACAAAAAIsIUgAAAABgEUEKAAAAACwiSAEAAACARQQpAAAAALCIIAUAAAAAFkUEuwGhwul0KjU11ecxu90uu90e4BYBAAAAqG0Oh0MOh8PnMafT6Xc9BKmzEhMTlZGREexmAAAAAKhDlXWSJCUlKTMz0696GNoHAAAAABbRIwUP0zTlKijy2pebX1RBaQAAAKDxIkjBw1VQpNTHVwW7GXXCVyC0RYbLMIwgtAYAAAD1HUEKjULPGavL7cuYNkgxUbwFAAAAYB2fIuHTxkevUUxUuNc+W2R4BaUBAACAxoUgBZ9iosLrfW+NLTJcGdMGee3LzS/y2TsFAAAAWFG/Pymj3nIVury+t0XYav15JcMw6n0YBAAAQGjiUyaCYsDiAV7fp41LU0xkTNUn5ud6fx8ZIzFhBAAAAAKMIIX6ZdZF3t8/nCVFxQanLQAAAGi0CFIIGFuETWnj0jzfuwpd5XqmAAAAgPqgQQSpzMxM7du3T5KUnJysNm3aBLlF8MUwDP+G75UVGVPc81QiP7d8zxQAAAAQQGHBuvC1114rwzD8+nrllVd81rFixQr16tVLSUlJuvLKK3XllVcqKSlJPXv21IcffhjYF4S6YxjFw/c8X9UIYwAAAEAtClqQ+v7772t0/uzZs3Xddddp48aN5Y6lp6fr+uuv16xZs2p0DQAAAADwJShD+86cOaP9+/dLksaPH69hw4ZVWr5r165e369Zs0YPPvigJOm8887TnDlzNGTIEEnShx9+qHvvvVc///yzHnzwQXXr1k2/+c1v6uBVAAAAAGisghKkdu/eLdM0JUlDhw7V4MGD/T7XNE1NmjRJpmkqIiJCH330kbp16+Y5fvPNN6tTp07q06ePCgsL9fDDD+vrr7+u9TWKAAAAADReQRna98MPP3i2O3bsaOncrVu3av369ZKkkSNHeoWoEt27d9fIkSMlSevXr9f27dur31g0WLn5RcrNL/R8lYR7AAAAoCpB6ZEqCVKRkZFKTk62dO4HH3zg2R4xYkSF5UaMGKF33nlHkrR8+XJ16dKlGi1FQ9Zzxmqv7zOmDVJMVIOYyBIAAAB1LKhBqkOHDoqIiFBRUZH279+vH3/8UU2bNtXFF1+sZs2a+Tx3586dnu3rrruuwmuUPrZp06ZaajkAAAAABClIlczY16pVK82cOVOzZs1Sdnb2L42KiNA111yjyZMn6/LLL/c69+DBg5KkuLg4xcfHV3iN+Ph4xcbGKicnxyt8oXGzRYYrY9ogz/e5+UXleqYAAACAqgT1GalPP/1UDz/8sFeIkqTCwkKtXLlSV155pZ5//nmvY4cOHZKkSkNUiRYtWkj6JXwBhmEoJiqi1Fd4sJsEAACAeijgPVI5OTnKysryfN+tWzc9/fTT6tWrlwoLC7Vt2zbNnTtXb731ltxut+655x516NDBM1SvJBSVhKTKtGjRQj/99JNycnKqLGuapk6ePFnNVyVFR0crOjq62ucDAAAAqJm8vDzl5eVV+3wrk48FPEjt3r1b4eHFvQDXXXedXn/9dcXFxXmODxgwQAMGDFCfPn00ceJESdL999+vwYMHKywszBN2bDZbldcqCTYul6vKsllZWWrevLnl11Ni8uTJmjJlSrXPBwAAAFAzM2fO1NSpUwNyrYAHqUsvvVSFhYVVlrvnnnu0aNEipaen67vvvtOWLVvUvXt3tWzZUllZWTp+/HiVdZSU8Sd0tW7dWjt27KiyXEXojQIAAACCa9KkSZ7OmOro1KmT1+i5yoTsXM/h4eEaNWqU0tPTJUkbNmxQ9+7d1apVK2VlZZV7rsqXkjKle7wqYhhGhTMFAgAAAAh9NX3cxjAMv8sGZbIJf11yySWe7Z9//lmSdP7550sqDkmVjWE0TVPHjh2TJLVt27YOWwkAAACgsQnpIFV6CGDJ80utWrWSJOXn51c6rfnOnTtVUFAgSUpNTa3DVqI0t8sld26u15eVh/YAAACA+iDgQermm29Wly5d9Jvf/EZut7vSsqWfWerYsaMkqWfPnp5977//foXnlj7Wt2/f6jYXFv1w5VXa2b2H15fpx2QfAAAAQH0S8CD1q1/9Stu3b9eaNWu0enXFC6G6XC69+uqrkoqfcbrqqqskScOGDfOMXVyyZInP3g7TNLV06VJJxeMchw8fXtsvAwAAAEAjFvAgNXbsWIWFFV/2j3/8o/bv31+ujMvl0oQJE7Rnzx5JxTP4lcy817p1a40dO1aSlJaWpn//+9/lzp83b56+/vprScU9YCXDAVE3DJtNKZvSvb4u/vKLYDcLAAAAqDMBn7Wvbdu2mj17tu677z5lZmaqU6dO+utf/6pf/epXioiI0I4dO/TGG29o165dkqQePXro0Ucf9arjySef1KpVq5Sdna0777xTX331lYYMGSK3263ly5dr0aJFkooX5J0xY0agX2KjYxiGjJiYYDcDAAAACJigTH9+7733KjMzU//4xz+Uk5Ojf/zjHz7LDRo0SK+//nq5daDatWun9957TzfccIOOHDmihQsXauHChV5lEhIStGzZMiUnJ9fZ60AIyM8tvy8yRrIwdWWJ3PyicvtskeGWpsEEAABA4xCUIGUYhp555hn96U9/0jPPPKMtW7Zo3759OnnypM4//3z17dtXt9xyiwYPHlzhh9irrrpK27Zt03PPPadly5Zp3759MgxDycnJGjlypO699161bNkywK8MATfrovL7Hs6SomItV9VzRvln9jKmDVJMVMgutwYAAIAgCeonxJSUFL300kvVPj8xMVFPPPGEnnjiiVpsFQAAAABUjj+1o/6JjCnudSotP9d371QVbJHhypg2yGtfbn6Rz94pAAAAoARBCvWPYVRr6J7vqgyG7gEAAMCygE9/DgAAAAD1HUEKAAAAACxiTBNCgqvQVW6fLcLG1OMAAAAISQQphIQBiweU25c2Lk0xkSz0CwAAgNDD0D4AAAAAsIgeKQSNLcKmtHFpXvtchS6fvVMAAABAKCFIIWgMw2DoHgAAAOolghRQidz8onL7bJHhTIIBAADQyBGkgEr0nLG63L6MaYNYxBcAAKCRY7IJAAAAALCIP6uf5XQ6lZqa6vOY3W6X3W4PcIsQLLbIcGVMG+S1Lze/yGfvFAAAAOoXh8Mhh8Ph85jT6fS7HoLUWYmJicrIyAh2MxACDMNg6B4AAEADVVknSVJSkjIzM/2qh0+LaHjyc8vvi4yRmCACAAAAtYQghYZn1kXl9z2cJUXFBr4tAAAAaJCYbAIAAAAALKJHCg1DZExxr1Np+bm+e6cAAACAGiJI1XOmaXq2cwtcCiuQXIWuILYoSAyDoXsAAAAIGIJUPecqPOPZ7r+4v/KjmFABAAAAqGsEKcCi3Pwir+9tkeEymBEQAACgUSFINSCrRq9UTNN4r322CFuQWtNwlV2YN2PaINadAgAAaGT49NeANAm3KSYyJtjNAAAAABo8ghTgB1tkuDKmDfJ8n5tfVK5nCgAAAI0HQQrwg2EYDN8DAACABwvyAgAAAIBFBCkAAAAAsIggBQAAAAAW8dAH6pzb5Sq3z7DZWHsJAAAA9RZBqhEzTVOugl8Wly270Gxt+eHKq8rtS9mULiOmYUzV7uvnxiK9AAAADRtBqhFzFRQp9fFVwW5GhVyF5XuybBGh15Plaxp0FukFAABo2Pikhzph2GxK2ZTutc/tcvnsnarIgMUDyu1LG5dWvUWH83PL74uMkUIslAEAAKB+IEhBkrTx0WsUExXu+d4WGV5J6aoZhhFaQ/dmXVR+38NZUlRstaoru0CvxCK9AAAAjQlBCpKkmKjwkBiKZouwKW1cmtc+V6HLZ+9UMLFALwAAQOPGJ0GEFMMwqjd0z5fImOJep9Lyc333TgEAAAAWEKTOcjqdSk1N9XnMbrfLbrcHuEWoMcOo9tA9AAAANEwOh0MOh8PnMafT6Xc9BKmzEhMTlZGREexmAAAAAKhDlXWSJCUlKTMz0696wmqzUQAAAADQGBCkAAAAAMAighQAAAAAWMQzUkAdyM0vKrfPFhkugwWAAQAAGgSCFFAHfC3MmzFtEGtPAQAANBAM7QMAAAAAi/jzOBqv/Fzv7yNjiteeqiZbZLgypg3y2pebX+SzdwoAAAD1G0GqITJNqaBMSCgbGiDNusj7+4ezarSAr2EYDN0DAABoJPjU1xAV5EpPtg52KwAAAIAGiyCFxiUyprjnqUR+bvmeqTpSdiY/ZvEDAACovwhSDd0Du6SoGO99kTG+y9YDrkKX1/e2CJu1MGIYNRq+VxNln5ViFj8AAID6i09xDV1UTNCCQ10YsHiA1/dp49IUU4+DIQAAAOonghRQh8rO5McsfgAAAA0DQQohzxZhU9q4NM/3rkJXuZ6pUMVMfgAAAA0Tn/AQ8gzDYPgeAAAAQgpBCgiSsrP4SczkBwAAUF8QpBAUbpf37HuGzeLse3XB16LFkTHFM/3VAV/PSjGTHwAAQP3AJzYExQ9XXuX1fcqmdBkxQR6+52s9qYezGtSshwAAAKgdBCkggMrO4icxkx8AAEB9RJBCwBg2m1I2pXu+d7tc5XqmAi4yprjXqbT8XN+9U7WAWfwAAAAaBj7RIWAMwwj+8L2yDIOhewAAALCMIAWEEGbyAwAAqB8IUmc5nU6lpqb6PGa322W32wPcIjRGzOQHAABQtxwOhxwOh89jTqfT73r4dHZWYmKiMjIygt0MWOQqdJXbZ4sIganUAQAAEJIq6yRJSkpSZmamX/UQpFCvDVg8oNy+tHFpiokMsWexKsFMfgAAAPUPQQqoTAAW6a1qJj+emwIAAAg9BCnUO7YIm9LGpXntcxW6fPZO1VgILNLLc1MAAAChh09iqHcMw6hXQ/cAAADQ8BCkgLICvEivLzw3BQAAENoIUkBZIbBIb1XPTQEAACC4+KQG1ENlJ6Bg8gkAAIDAIkgB9VDZIX5MPgEAABBYfPJCSHC7yi+sa9hCdGHdslOi1/J06AAAAAh9BCmEhB+uvKrcvpRN6TJiQnB2vrKTTgRoOvSyE1Aw+QQAAEDwEKTQ4LgKy/du2SJCtHfLgsomoGDRXgAAgMAiSCFoDJtNKZvSvfa5XS6fvVNW+FqYN21cWs3Wnio7JXqAp0OvCov2AgAABBafshA0hmGE5tA9X0JgSnQAAACEDoIUGgRbhE1p49K89rkKXT57p2pd2cknpIBMQFHVor0M9wMAAKg7BCk0CIZh1GzoXk34GuIXgAkoqlq0l+F+AAAAdScs2A0AAAAAgPqGP00D1VF28gkpJCagsDrcj6F+AAAA1UOQaiRM05SrwPtDtK9naOCnEJ18wupwP4b6AQAAVA+foBoJV0GRUh9fFexmWOJ2lV8PyrBVbz2ogK8tFaQJKAAAABAYBCmELF/rSaVsSq/WlOl1srZUZYI0AYUvZYf7MbMfAABAzRGkGqGNj16jmKhwr322yPAKSqO+q2y4HzP7AQAAVA+fls5yOp1KTU31ecxut8tutwe4RXUnJio8ZD8oGzabUjale+1zu1w+e6eqEvC1pUJ0Agqr6KUCAAANmcPhkMPh8HnM6XT6XU9ofpoOgsTERGVkZAS7GY2eYRjVGrpXUV0BXVuqqgkoyj43FaRnpqqa2Y9eKgAA0JBV1kmSlJSkzMxMv+rhkxEarbITUNTp5BNS+Z6pID0zVdXMfr4wbToAAIA3ghQarbJD/Op08okQZ7WXih4qAADQ2PFJCKhLZZ+bKv3MVAhNkW61l4rnqAAAQGNHkEK9UnZtKavrSpWdgKJOJ5+QKn9uKoSmSPelsmnTeY4KAAA0dnzqQb1SdvY+q+tKBXwCinqsNnqpfKHnCgAANAQEqRCSl5enmTNnatKkSYqOjg52cxqdspNPSLUzAYXXfY2qYor0EBruV1Z1ZvvzpSH0XPFebZi4rw0P97Th4Z42TPX1vhqmaZrBbkQwlUxx2KZNGx04cCCobTl58qSaN2+uEydOqFmzZn6dc/rEz9rfp7iXpm3aF4pr3kLKz5GebF1c4OxQsdz8QqU+vkpS/fsga5qmzFJD+kqvK5WyKV1hNZguPbcgV31e71Ph8dqYgKLK+1r6fvkSQsP9yir9e+WvsgtC18cequq8VxH6uK8ND/e04eGeNkyhdF+tZIP682kajVZtri1VL9WzXipfKuu5KhusSuqtb+EKAAA0LgQp1GtlJ5+QrE1AUXbyCcl7Aoq6Gu7npezMfpL3cD9fk1I8sEuKKhUu68lsf774GhJIuAIAAKGOIIV6rezkE5K1CSiqmnzC14x+tb7eVGUz+1UkRBb39VdlMwD64k+4IlgBAIBgIkgBoaiqXqqyQnj4n1S+56qqiSt8YUggAAAIJQ0mSB07dkx79uzRqVOn1Lp1a1100UUKCwsLdrNQBwybTSmb0r32lZ6AItDD/Wp9qJ/ku5eqssV9/Rn+V1JHCAQNX0MCrYYrf4cElkXYAgAAtaHeB6nvv/9e999/v1asWKGiol/WsWnbtq3uvfde/c///I/Cwyv/YIX6parJJwI93K/Wh/pVxOoQwBBf8Lcsf8JVdYYEluVP2Cq5NoELAABUpF4Hqc8//1yDBw9Wbm75YU379+/XAw88oHXr1mnp0qWEKdSZgExI4YvV4X8lx8vWEcJhoTaGBJblb9nKAldufqGk4qn5AQBA41Rvx74dPXpUo0aNUm5ursLCwjRt2jTt379fp0+f1po1a9StWzdJ0n//+19NmzatVq/tcDhqtb4aKf1BrjC3eE0iX8/LnHVq0wd11pS6/rlUVn/JcL/SXxd/+YXnuNvlkjs31+ur9IfgqtpeMtyv5GvtTWs9xwYsHqA+r/fx+so+k63cglzPl1QHH7rP9lA5/vNKcS9TVKwUe15xuCr99cCuX86ZdVHxmlUlXzlHz/7OlPoq0866vK9W6y4JVqW/WsRGKWPaIJ9f97barYxpg7Tx0Wsst63njNVKfXyVz6/eT3wiScrOyVdufmGVX9W596H0cw+l+kPq31+L+LkHr/66VF9/7tzTivFzD3zdda2u2l5vF+R96KGH9Mwzz0iSXnjhBdntdq/jJ0+e1GWXXaYff/xRsbGx2rt3r1q2bFmunuosyJuamqqMjIyav4gyqrUg78/7tf/K30qS2t54SHHhbu8CZRbkzXrpLh3P2lMnC/LW1c+luvW7c3O1s3uPCo+XXszXat1VLeRbWpGrSDvu2qG9h/YqIT7Bs7+2eq2qbHtVC/6WVebZqtTLeijjm/RKTjirGr1bgfqdMU1TroKiKsv727vlzsvV/n/epLb/s1hh0VUP6/R3OGFpPS67VBkZ2+ukZzPU3quhUnddLwjJzz3w9Qdikc/6+nPnnlaMn3vg6w6lf38b/IK8RUVFevnllyVJCQkJuvPOO8uVadasmR544AHdfffdysnJ0VtvvaW777470E0NuuIhSIXKza/6Q2Rj4zUphWnKNM1am5DCl+vevU7htl8+TK+9aa1sEbZy9db6B+fKJqnwpeyxo6f9C2L1bHILX/xZYDg3v0jdH/uvpetbGXpYIuvIaf2ck285gEk83wUAQCDUyyD19ddf6+eff5YkDRs2rMLnn4YPH+4JT8uXL2/4QWp8mtSijXLzC9Xj7Ac314zPJTXOD1RVze5XelKKvL17VJSdrTCbrVwdvj6Q+pqQoqJw9euFv5YRZXiFKMn3GlV1Eq7KTlJRnWer/OHvzIGlme7iHrOyQniBYVtkuNY/8hu1+qe0/pHfVPiXM6vPbvlS3fOr6gEzzV+e87KqJKRV1stnmrL0hwkAAOqjehmkdu7c6dm+7rrrKizXtm1bXXrppdq6das2bdoUiKYFV5Tt7AfmQrnUJNitCbqqZvcry9dsfxd/+UW5cFXuOmfDVkXhas2Na9Tqrlb6eOjHioyJrLTXyt9wVZppmp7nsMpe2+cHWX+mVi/trR7SwxUM7bPau1VWRb1dVQUwf/kKajUMaaXDVslzWr7407vlSyACWNaR00p9fFW16i4JaZW1sya9aVWpjRAIAEBtqJdB6uDBg57t5OTkSsu2bdtWW7du1eHDh3X8+HGdc845ddy60FL2L9M93ouTLbLxzmBYtpeqdA+VL5UdK1FV2GpS8Mt/m7qb6KuRa72OnylyafCSwT7PNeU7XJW29+Ren89rVRXAyqngA6YpQ7kVffiMipEe2u29Lz9XmnNphZexmWbVfaQ17R0r4Suo1UZIKwln+TlSvu/3kyGpOlexRZrKePQq9VgWo/RHq/79K5GbX6RfP/2pX2UNmbLpTLn9LkWrqh5sf0NeTcNgRWojBFakJKDl5hcqopphrTI1CYHBrj8QvZhl6yf4Agh19TJIHTp0yLMdHx9fadkWLVp4tg8ePFgvgtTPh35Ufk5Tv8rmHv/lZ3Emv1Bh+d7PQ8VEhXv9xdww1Kj/x1S2l6okWEX36KGU9OKAVVW4KquqsqfPrm/2w6/7Ka6CYaivVnL+n+4JV15kxccNU4rKN5UfVXxfo/KLg8qg1/pX2i5//Xhir/q90tvaSa2TKjy0cvhSNTkb8NxvDNTpCWuKD+S7pBf9m8DDX9Gl/oU7XWRIMqSnLlZcuFlqn8p8X/X743Te2fJPd1JYdN28n8yfT8r9VDu/yzeRtKGS35PSehontSHyT+X2n/nzl1Jk+fCdm1+k4S98WWF9/737Sk8v1fAXvtQhs0jnFB31t+mW+KrblHQi/DxJUvOioxXewd9MfbPSckV5xc9NXjttscKjLfwRwk97D59Q30cW1Xq9gai/JnWX/f3wt/6S82ri1KlTkqz9f9WqosICHT24l7oDVD/3NHj112XdJfe1vqmXs/aNGTNGS5YskaQqZ/eYOHGinn32WUnShg0b1LNnT6/jUVFRKigoUFhYmM4//3y/rn/48GElJCR47auNcGKaprKyspQQHlGtkUfZTZrKXWZG+8TmTbw+LDidTiUmJtasoRWoy7rruv5ydVf1tjBNFR454lfdpikdLiqs9n2tytHCQp0XUXd/E/GnflNS9tn/n8WfKo4i/uz7OQTaXh11fU+lmrU9wlYc3gtdvj+EltRdtlxV51mtvy7UZd2N4b1am3WbMvRzk+L//7Y4c1KGTL/2SSpX5mhRkRQbX2VdVoX6e7Wh1l2X9XNPg1d/IP79bd26da19pi7N12f3ihw6dEhut1uRkZHKz8+vtGy9DFK//e1v9fHHH0uS8vPzFRlZ8Z9hJ02apL///e+SpHXr1unXv/611/Hw8HC53W5fpwIAAABohMLCwlRUVPms1/VyaF/p9aCOHz/uc32o0sdL2Hw8x9KkSROdOXNG4eHhldZTlcY8XA4AAAAIFTXpJzpy5IiKiorUpEnVE7fVyyDVqlUrz3Z2dnalASg7O9uzHRcXV+54To6PqZcBAAAAoBJhVRcJPaWfZSodlHw5duyYZ7tNmzZ11iYAAAAAjUe9DFKle6S++eabCsu53W5t27ZNknTBBReoadO6md0FAAAAQONSL4NU6Zn33n///QrLpaene6ZK79u3b523CwAAAEDjUC+DVEpKilJSUiRJn3zyidfwvdKWLl3q2R41alRA2gYAAACg4auXQUoqXh9KkvLy8jRhwoRyU5hv3rxZ//znPyVJ7du318iRIwPcQgAAAAANVb1cR0qSCgoKdNVVV2n9+vWSpH79+um2225Ts2bNtH79er344os6ffq0DMPQe++9p2HDhgW5xZU7duyY9uzZo1OnTql169a66KKLFBZWb3MuaoHb7dbu3buVmZmpuLg4dejQQeeee26wm9WoZWZmat++fZKk5ORkyxPYcE8bJu5r4IXCe/HMmTPatWuXjhw5ovPOO08XXXSRz2VWUH9wT0NPyL9XzXrs4MGDZrdu3UxJPr8iIyPNf/3rX8FuZqV27txpDh061AwPD/dqe9u2bc1Zs2aZhYWFwW5io3Po0CFzypQp5tChQ82OHTuaNpvNTE1NNW+88UbzP//5T4X3pLCw0IyKiqrw97Hs1969e33WU1RUZP7jH/8wL7jgAq/y4eHh5vXXX29+9913dfjqG55rrrnG73uyYMECn3V8+OGHZs+ePcuV79Gjh7l8+fIq28A9rT1bt241V6xYYflr69atnjp4r4aOF154wZRkTp482a/yofBePH78uGm3281mzZp51dG0aVPzrrvuMo8fP+7Xa2morN7TrVu3mhMmTDAHDhxotm3b1oyLizN79uxp3nbbbebq1asrPfeLL77w+32cnJxcYT3c06r5e19D6d/XQNzXeh2kTNM08/LyzOeff9684oorzPj4eDMqKsps166d+ac//cnrf5yhaN26dWZMTEylv2DDhw8nTAXQhx9+aDZv3rzSe9K9e3czPT293Ll79uzx+x+Oiv7xKCwsNEeOHFnpeTabzfzss88C8NNoGMr+I2w1SM2aNavK85555pkKr889rV233nqrpfdZydett97qqYP3aui4/PLL/f7QHQrvxUOHDpkdOnSotI4LL7zQPHToUHV+HA2ClXv6xBNPmIZhVPrz/N3vfmc6nU6f57/88st+v48rClLcU//4e19D5d/XQN3Xeh+k6qsjR46YLVq0MCWZYWFh5rRp08z9+/ebp0+fNtesWePV0/b4448Hu7mNwvbt202bzeb5uQ8bNsycM2eOuXjxYnP69Olmamqq51jz5s3L/TVk1apVnuNz586t8i/kubm55dowefJkTx3du3c3P/30U/P06dPm/v37zalTp5phYWGmJDM+Pt48fPhwoH409ZbL5fL8T3r8+PFV3pMDBw54nf/JJ594zj/vvPPMRYsWmdnZ2WZ2drb52muved7Dkir8yyn3tHZVN0iNHz/eUwfv1dBQ+kNwVR/OQuG96Ha7zQEDBnjqGDt2rPntt9+aubm55rZt28zf/e53nmP9+vUz3W53bfyY6hUr9/SVV17xlI2IiDDvvPNO86WXXjIXLVpkPvTQQ2Z8fLzneLdu3Xy+DydNmmRKMps1a1bl+3jt2rXlzuee+sfKfQ2Ff18DeV8JUkHy4IMPem7iCy+8UO74iRMnzHbt2pmSzNjYWP5HHAA33XST1z0p+8bKy8szx48f7ykzaNAgr+Ml3d6SzNOnT1u+vtPpNGNjY01JZvv27c2TJ0+WK/Pcc895rvHQQw9ZvkZj8+2333p+Xh9++KGlc91ut9m7d2/P/+Q3bdpUrkx6eroZERFhSjJ79+5d7neGexpcM2fONCWZiYmJ5sGDBz37ea8Gz/Hjx81169aZt99+uxkZGenXh7NQeS8uX77cc3zMmDHlruF2u83Ro0dX+9+c+qo69zQvL89s06aNKcls0qSJuWHDhnJljhw5Yl5xxRWe+mbOnFmuzJgxYzz3vDq4pxWrzn01zdD49zWQ95UgFQSFhYWev54lJCRUOHSv9C/j888/H+BWNi4ul8vzD0X37t0r/OtEXl6e2aVLF899Kd2Dce+995qSzKSkpGq14Z///Gel4do0i8cMJyQkmJLMli1bmkVFRdW6VmPx7rvven6mu3btsnTuli1bvP4hrkjJ/8glmdu2bfM6xj0NnvXr15sRERGmYRjmJ5984nWM92pw9OrVq8Iew8o+nIXKe7H0UKNvv/3WZx2l/3gzevToCtvaUFT3nq5Zs8ZT7r777quw3N69e83o6GhTknnxxReXO37ZZZeZksw//OEP1Wo/99S36t5X0wyNf18DeV+ZFi4Ivv76a/3888+SpGHDhik8PNxnueHDh3u2ly9fHpC2NVbffPONCgoKJEljxoyRYRg+y0VFRWno0KGe7zdv3uzZ/uGHHyRJHTt2rFYbPvjgA8926XtfWlhYmGcGyiNHjmjDhg3VulZjUXJPIiMjlZycbOnc0vdjxIgRFZYrfazs+5R7GhynT5/WuHHjVFhYqMcff1wDBw70Os57NTgOHz5crfNC4b2Yl5enjz76SJLUoUMHpaam+qwjNTVVHTp0kCR99NFHnv+vNFTVvaclMy5L0o033lhhuXb/v707j4riStsA/jQ70igCUYwLi0YF0YjExDWocd/iEkeBjBpjdJTESUxcP+OS0UkyOdEYDcRlok4yqLiRmDFqjhH35IwiokZMABkXVgUEAQWa+/3B6ZtuoTegu0Ge3zl9TlXXrarb/datrrfrVpWPD4KCggBUttvCwkI5TQiB5ORkADVry4ypbjWNK2D9/aul48pEygquX78uh0eOHKmzXNu2bdGtWzcAQHx8vNnr1ZhlZWXJYUMH3K1atZLDJSUlcvjxncfDhw9x7do1HD9+HJcvXzbYSNXbRdeuXdG2bVud5UaNGiWHuV3op45J+/btYWdnB5VKhbS0NMTFxeHChQsoKCjQOa+x7VRz2uPxYEytY968eUhOTkZISAjef//9KtPZVq3j+vXrKCkpka+kpCSj51OzVlu8c+cOiouL5Xp0/dmmUCjkMgoLC+WB/pOqpjGt6W/uw4cP5XBGRgaKiooA/NGW79+/j/j4eJw4cQLJyckQep7ww5jqVtO4Atbfv1o6rkykrCAjI0MOG9qBqDei7Oxs5Ofnm7NajVpgYCC2bduGbdu2ISQkRG9ZzX8+1DuKsrIypKamAgAcHR0xe/ZsuLq6IiAgAIMGDUK3bt3g4eGBN954A7du3aqyTCEEMjMzARi/TQDaBxhU1W+//Qag8of4ww8/RIsWLeDr64uBAwfiueeeg4eHB0aMGIGff/65yrzqdqpUKuHu7q5zHe7u7nBxcQGgHQ/G1Dp+/PFHbNu2Dba2toiKiqpyxp9t1XocHR3h5OQkX46OjkbNVx/aYk1+tx9fxpOopjF95ZVX5G9uy5YtdZZTqVTyINnNzQ2enp5ymnr/DgD37t3D0KFD4ebmhuDgYAwYMADPPPMM2rRpgzVr1sgDa02MqW41jWt92L9aOq52NZqLakW9kQDQ+6MAAB4eHnI4IyMDbm5u5qpWo+bn5wc/Pz+D5RITE7Fr1y4AQJs2beDv7w8ASEtLg0qlAgCsX7++2nkLCwuxdetW7N+/H7Gxsejfv7+clpubK/+lMXWbIN3U/4wdP34cx48frzK9vLwchw8fxtGjR/HZZ5/hrbfektPU7dRQPIDKmBQVFWnFgzG1PJVKhXfffRcAMGvWLNk+NbGtNjz1oS3W5nebqurTpw/69OljsNzmzZvlg5eHDRumdXZBvX8HgIiIiGrnT09Px7JlyxATE4PDhw9rnd1iTOtefdi/WjquPCNlBZrB0gxidTSnq09hk3VcuHABw4cPR3l5OQBgyZIlcHBwAKC9QweAKVOm4OLFiygqKkJaWhpiY2NlP+/c3FyMGzcOt2/fluW5TdS9oqIipKeny/GgoCD8+OOPyM/Px927d3H8+HFMnjwZQOWT0+fNm4dDhw7J8uqYGIqHZhnNeDCmlrdt2zZcvnwZrq6uWLlyZbVl2FYbnvrQFhl3yxJC4Ouvv5Z/bikUCixbtkyrjGZbtrGxwapVq5Camori4mJcvXoVmzdvRosWLQBU/gk6ceJEeZAPMKbmUB/2r5aOKxMpK9C8LsPZ2VlvWc3TqZrX45DlFBQUYMmSJejVq5dsoGFhYfjLX/4iy6SkpMDW1ha2trZYtWoVoqOj0b17dzRp0gTe3t54+eWX8csvv2DixIkAKncgf/vb37TWocZtom5oxmTMmDE4efIkBg8ejGbNmsHDwwMDBgzArl27sHbtWjnPu+++i4qKCgB/xMRQPIA/YqIZD8bUsh48eCCvh1qyZIk8gHoc22rDUx/aIuNuOampqZg4cSKmTp0qE5+oqCgEBgZWKWdra4umTZvi4MGDWL58OXx9feHs7IyAgAC88cYbuHr1Knx9fQEA586dQ0xMjJyfMa179WH/aum4MpGygqeeekoOG7ruSXO6MT8iVHfKysoQGRmJDh064KOPPpJnombOnInt27fDxuaP5vPWW2+hvLxc3iWsuosb7e3tsX79etmHPyYmRi6T20Td69atm4zJd999B6VSWW25efPmITg4GACQlJSEhIQEAH/ExJhrE9VlNOPBmFrW2rVrkZmZiebNm+Ptt9/WWY5tteGpD22RcTe/3NxcvPvuu+jcuTMOHDgAAHByckJkZCRmz55dpfzevXtRXl6O+/fv67wJiaenJz777DM5vnPnTjnMmNa9+rB/tXRcmUhZgWYf3dzcXL1lNafrOhCkupeQkIAXXngBERERyMnJAQC0a9cOhw4dwpYtW2Bvb1+j5bZu3Rq9e/cGUNmAU1JSAHCbsCZbW1uMHz9ejqtvJqKOiaF4aJbRjAdjajmlpaWIjIwEAEydOrVODnTYVuuP+tAWGXfz2rt3L/z9/bF27Vp5jUy/fv2QkJCAOXPm1GrZo0aNkt3wNW8WxZhajzn3r5aOKxMpK/Dy8pLDhoKcl5cnh1u3bm22OlEllUqF999/Hz179pTPiHJ3d8enn36K69evY8SIEbVeR+fOneWw+nliSqVS/jtjyjah79agZLzqYqJup7m5uXpvoSuEkDHRjAdjajn79u2Tt1OeOXNmnS2XbbV+qA9tsaa/24y7fvfu3cPEiRMxadIk+ewif39/xMbG4uTJk+jUqVOt12FrayvvsKtuxwBjam3m2r9aOq5MpKxAM1u+dOmSznIVFRW4fPkygMqzIa6urmavW2MmhEBERARWr16N8vJyKBQKzJs3DykpKZg/fz6cnJzqZD3qU9gA0KxZMzms3i4SExPldTrVSUxMlMO6HjRHpqkuJup4lJaW6r0t6vXr1+U/qI/HgzG1jI0bNwIAevXqVeU6itpgW60f6kNbNPZ3W98ySFthYSGGDx+O/fv3AwCaNm2KyMhIJCYm4uWXX9b5/J+aULfl6toxwJhag7n2r5aOKxMpK3juuefk8MGDB3WWu3DhgryNozG3CaXaWb16NTZt2gQAaNmyJU6fPo3169cbvOV8UVERunfvjsDAQCxcuNDgeq5duwagsp+w5jMO1NtFZmYmLly4oHN+zW2G24Vu4eHhCAwMxEsvvaR3Zwz8ERPgj2eDGdtO9cWDMTW/hIQEnD17FgDwxhtv6C3Lttow1Ye22KpVK3mAdvjwYZ0PFS0rK8Phw4flPIaeY9NYCSEwfvx4nD9/HgDQu3dvXL16FXPmzIGdneEn85w5cwaBgYEIDAzEnj179JYtKyuTD1tV798BxrSu1Zf9q8XjKsgqOnXqJAAIR0dHkZubW22ZxYsXCwACgNi9e7eFa9i43L9/X7i4uAgAonnz5iI5Odmk+UeOHCkACBcXF53xFEKIK1euCDs7OwFADB48WGvazp07ZbwXLVpU7fx5eXnCyclJABD+/v4m1bGx+cc//iG/zyNHjugsV1xcLPz8/AQAoVQqRXFxsRBCiDt37giFQiEAiBdeeEFUVFRUmbeiokL06tVLABAKhUKkp6drTWdMze/tt9+W3/Hdu3cNlmdbrT9u3Lghv8cVK1boLFdf2uLs2bPlMn744Ydql3H48GFZZs6cOXo+/ZPJ2Jj+9NNPslzv3r1FUVGRSet5+PChcHNzEwBEnz59qt0m1DZv3izXtXr1aq1pjKlxjI1rfdm/WjKuTKSsZNOmTTKA4eHhQqVSaU2Pj4+XG4mvr6949OiRlWraOERGRsp4REZGmjx/dHS0nH/o0KHi4cOHVcrcvn1b9OzZU5Y7evSo1vSHDx8Kb29vAUA4OTmJixcvak0vLy8XYWFhcv6tW7eaXM/G5ObNm8LGxkYAEK1btxY3b96sUqa4uFi8/vrr8jtdunSp1vTQ0FA57csvv6wyf1RUlJz+6quvVpnOmJpfx44dBQDRtWtXo8qzrdYfxh6cCVE/2uKvv/4q9yn+/v5VDhTv3bsn/P39BQBhY2MjkpKSDH8JTxhjY/qnP/1Jlvv1119rtK5Zs2Zprau6ZOrnn38WzZs3FwCEq6trlT9bGFPjGBvX+rJ/tWRcmUhZSWlpqXj++eflhvDiiy+Kr776Suzdu1csXLhQKJVK+c/ad999Z+3qPvGmTJkiY7Fjxw7xww8/GPW6d++eEEIIlUolxo0bJ5fRrl07sXr1ahETEyO2bt0q3n77beHq6iqnz507t9p6xMbGyjKurq5i6dKlYt++fWLLli2ib9++clqvXr1EWVmZJb+iBmndunXyO3NxcRHz588X//rXv0R0dLR4//33RYcOHeT04OBgeTZK7caNG8Ld3V2WmTZtmti1a5eIjo4W4eHh8n0PDw+RlpZWbR0YU/P5/fff5fcXERFh1Dxsq/WHKYlUfWmL8+fPl+X8/PzEunXrxIEDB8Qnn3wifHx85LT33nuvtl9Pg2RsTL28vAQA0bJlS6N/bx8/s5CTkyN7EwCVZ6bWr18v9u3bJz7//HMRHh4uz2QCunv2MKaGGRvX+rR/tVRcmUhZUUZGhggKCpLBfPxlb28voqKirF3NRmHgwIE646Dvdfz4cbmMwsJCMWjQIL3lFQqFWLBggSgvL9dZlw0bNshT3tW9goODRVZWlgW+lYavoqJCvPfee/KfKV2vYcOGyaT4cadOnRJPPfWUznlbtGghzp49q7cejKl5fP755/I7jImJMXo+ttX6wZRESoj60RbLysrEq6++qnfbmT59ut7t5klmTExVKpWwtbWt0W/u465evap1UFzdS6lUil27dumsM2NqmClttb7sXy0VVyZSVvbo0SOxYcMG0bt3b+Hu7i4cHByEj4+PmDlzpkhMTLR29RqNgICAGu3UNRMpISoP3H/88Ucxbtw40aVLF6FUKoWLi4vo3LmzmDt3rrhy5YpR9UlISBAzZswQ3t7ewsHBQbi7u4s+ffqIjRs3itLSUjN8A0+2pKQk8frrr4vg4GDh6ekpHBwcRLt27cSUKVPEoUOH9PavF0KIzMxMsXTpUhEQECBcXFyEUqkUXbp0Ef/3f/8nsrOzjaoDY1r3hg8fLttiRkaGSfOyrVqfqYmUEPWnLX777bdi9OjRwsvLS9jb24tWrVqJMWPGiO+//96o+Z9UxsQ0Ozu7Rr+31SVSQlT28NmyZYt46aWXRPv27YWjo6No3ry56Nmzp1i5cqXR2wVjqpupbbU+7V/NHVeFEHoeykBERERERERV8PbnREREREREJmIiRUREREREZCImUkRERERERCZiIkVERERERGQiJlJEREREREQmYiJFRERERERkIiZSREREREREJmIiRUREREREZCImUkRERERERCZiIkVERERERGQiJlJEREREREQmYiJFRERERERkIiZSREREREQ1tHLlSigUCigUCqSlpVm7OmRBTKSIiIiIiIhMZGftChARERERNVSenp7o1KkTAMDe3t7KtSFLUgghhLUrQURERERE1JCwax8RERERUQ3FxcVBoVDAx8fH2lUhC2MiRUREREREZCImUkRERERERCZiIkVERERERGQiJlJEREREREQm4u3PiYiIiIgaEZVKhfj4eNy6dQvp6ekoKCiAu7s7WrVqhRdeeAFeXl7WrmKDwESKiIiIiKgBGDBgAE6cOFHl/WbNmiE/P9/g/ImJiYiMjMSBAweQnZ2ts1xgYCDmzJmDadOmwcXFpTZVrhHNz+nj44PU1FQoFAqTl7Nu3TrMnz9fjqekpMDGxga+vr7Vlp82bRq2b99u9PLZtY+IiIiI6AlWUFCAd955Bz169MCmTZv0JlEAcOXKFURERKBbt26Ii4uzTCU1hIWFyeG0tDScP3++RsvZv3+/HO7Zsyf8/PxqXTdNPCNFRERERNTAPP3003B2dgYAuLq66iyXk5ODIUOG4NKlS1rvd+3aFUOGDEHbtm3h4OCA69evIykpCSdOnMCjR48AAKmpqRg8eDB27dqFV155xXwf5jETJ05EREQEysvLAQC7d+9Gz549TVpGZmYmzpw5I8cnT54MALCzs0P79u3l+wUFBcjJyalRPZlIERERERE1MP/+978xYMAAvWXu3r2LkJAQXLt2Tb7Xt29fbNiwAUFBQdXOc+vWLaxYsQI7duxARUUFVCoVpkyZgtOnT6NXr151+RF08vDwwIgRI3Dw4EEAwJ49e/DJJ5+Y1L3v22+/hRBCjk+aNAkA0KZNGyQnJ8v3t2/fjtdee61G9WTXPiIiIiKiJ9DcuXO1kqiFCxfi5MmTOpMoAGjbti2++uorfP311/I9lUqFP//5z/JMlSWEhobK4Zs3b+Lnn382af4DBw7I4d69e6Ndu3Z1Vjc1JlJERERERE+YPXv2YM+ePXJ83rx5+Oijj2BjY9zhf1hYGFavXi3Hk5OTsXPnzjqvpy5jx45FkyZN5HhMTIzR8+bn5+PYsWNyXN2tr64xkSIiIiIieoIIIfDBBx/IcX9/f3z88ccm3/lu8eLFePrpp+X4l19+WWd1NMTFxQXjxo2T43v27EFFRYVR837//ffy+iqFQmG267t4jRQRERERESqvDzpz5gxu3rwJZ2dneHt7Y+DAgXpv5lAfnThxAleuXJHjH3/8MZycnExejq2tLaZNm4YPP/wQAPDf//4X+fn5cHNzMzhvVlYWTp48iTt37qC8vBx+fn7o1KkTAgICjE7owsLCEB0dDQC4c+cOzp49i379+hmcT/Nuff369UPr1q2NWp+pmEgRERERUaOiPpAPCQlBXFwcMjMzERERgdjY2CpnPRwdHTFjxgysWbMGzZs3t0Z1TfbNN9/IYW9vb4wcObLGy/rrX/+KHj16yHGVSqW3/OXLl7FgwQIcPXpU62YPaj169MD8+fMRFhZmMKEaMmQI3N3dkZubC6Cye5+hRKq4uBiHDx+W4+bq1gewax8RERERNWJXr15FUFAQ9u/fX23XsUePHiEqKgo9evRAWlqa5StYA6dOnZLDEyZMgK2tbY2X1bJlS7zyyivy5eHhobPstm3bEBQUhCNHjlSbRAFAfHw8Xn31VUydOtXgzSscHBzk3faAyu59hhK5I0eOoKSkBABgY2ODiRMn6i1fGzwjRURERESN0v379zF+/HhkZmYCAF566SUMGzYMbm5uSElJQUxMDG7cuAGg8sGw6ucxad4EQX3QXl/k5OTgt99+k+N9+/a1yHr37NmDGTNmyHE3NzeMGTMGXbp0gZOTEy5duoQjR44gPT0dQOVZswcPHmD//v16z0yFhYVh06ZNACqfDXX69GmEhIToLK/ZrS8kJAReXl61/Wg6MZEiIiIiokYpISEBQGX3vd27d+Pll1/Wmv7BBx9g8eLFWLduHYDKO9etWbMGa9asAQBUVFQgNjYWAPDUU09ZrN76pKamao137drV7OvMysrC7Nmz5Xh4eDjWrVtX5TspLCzE8uXL8dlnnwEAYmNjERsbi/Hjx+tcdr9+/dCmTRvcvn0bQOXDeXUlUqWlpfj+++/luDm79QHs2kdEREREjdyGDRuqJFFAZdeyTz/9VKt7WGRkJEpKSvD555/D09MTmzdvBoBq57cG9fVEavq64tWVyMhI5OXlAQAGDx6MHTt2VJtYurq6Yt26dXj99dfle0uXLtW7bBsbG61nSu3bt0/eke9xcXFxyM/PB1B5o4wJEyaY+lFMwkSKiIiIiBqtNm3aYNq0aTqnKxQKrFy5Uo7n5+fjP//5Dx48eICSkhJ06tQJa9asweLFiy1QW8MeT6SaNm1qcJ5vvvkGCoXCqNf06dO15hVCYOvWrXI8KirK4DVZ69evh6OjIwAgKSlJdvfTRTORys7OxokTJ6otp9mtb9CgQWY/S8hEioiIiIgarTfffBMODg56ywQGBmL48OFy/Ny5c1i6dClKSkqQlJSEpUuXws6uflwx8/htzouLi826vuTkZJkItW/fHh06dDA4j4uLC4KDg+X4mTNn9Jbv3r07OnXqJMerezivZjdLwPzd+gBeI0VEREREjZjmAb0+3bt3l7fVvnTpkjmrVCuenp5a43l5eWjWrJneeZRKJdq3b69zekFBAXJycqqdduHCBTmcnp5uVCIFQN7gAwAyMjL0llUoFAgPD8fy5csBVHbv27hxI+zt7WWZc+fOISsrCwBgZ2en9TBfc2EiRURERESNlo+Pj1HlfH195fDdu3fNVJvae7w722+//WbwM44bN05v4vHPf/4TM2fOrHaaZoJVUlKClJQUo+uqVlhYaLBMaGioTKTu3buH48ePY+jQoXK6Zre+IUOGWOTaMHbtIyIiIqJGq3Xr1kaVa9OmjRy+f/++uapTax07doRSqZTj586dq/Uy7927p3NaXXwXBQUFBst06NABzz//vBzX7N4nhNBKpCzRrQ9gIkVEREREjZi+JEFTdna2HFY/R2rlypVG36Th8Ze52NnZoV+/fnJc83bgNZWcnKxzmuYztUaMGAEhhMmvjz/+2Kh6aN50Yv/+/SgtLQVQ2dVS/bBke3t7i91BkYkUERERETVa6gNwQzS7rLm7u5upNnVjxIgRcvj8+fM4f/58jZclhJDXhlVH87vQl3DVhcmTJ8skNC8vD8eOHQOg3a1v+PDhcHNzM2s91JhIEREREVGjlZSUZFS5xMREORwYGAig8oxUdWdYVqxYAQDw9vbWeRbGnKZPn6512/NFixahoqKiRsvat28fbt26pXO65gN/b9y4ofMZT48rLy+XL2O/j1atWmHQoEFyfPfu3QBglW59ABMpIiIiImrEvvjiC4MH8teuXcPBgwfleJ8+fcxdrVpp2rQpZs+eLcd/+uknrF+/3uTl3L17FwsWLNBbplu3bnBxcQFQmRzt3LnT4HJv3bqFJk2awN7eHs2bN0dJSYnRdQoLC5PDsbGxuHLlCq5evQoAcHR0xJgxY4xeVm0xkSIiIiKiRishIUErSXqcEALLly+XyZZSqbTYNTi1sXz5cjzzzDNyfP78+fjiiy+Mnj8nJwdjx4412PXR3t5eK7lZsmQJioqK9M6zZs0alJWVAQAmTZqkdZ2VIRMmTJDP/bp//z7mzp0rp40cOdKoBxDXFSZSRERERNSoTZ8+vdqHwpaWluK9997D3r175XuzZs2y6MF6TSmVSuzcuRPOzs7yvTfffBNjx47V251RpVJh165dCA4Olnf8e/bZZ/Wu65133pHPdLpz5w6GDBlS7W3QVSoV/v73v2PTpk3yvddee82kz+Xm5oaRI0fK8VOnTslhS3brA/gcKSIiIiJqxJo2bYq8vDz0798fISEh6N27N3x8fJCamoqYmBjcuHFDlvXz88OqVausWFvTBAcH4+jRoxg9erS8TfnBgwdx8OBBBAUFYdCgQWjdujWaNWuG3Nxc/Prrrzh69Cju3Lkjl7FixQpMnTpV7wN7/f39sXr1aixatAhA5S3Xn332WYwaNQrdunWDp6cn/ve//2Hv3r34/fff5XwzZsxA//79Tf5cYWFhiI2N1XrP2dkZo0aNMnlZtcFEioiIiIgarUOHDmHYsGEoKipCXFwc4uLiqi3Xrl07HD16VOsZTQ1Bv379cObMGcyaNQtnz56V71+8eBEXL17UOZ+XlxfWrl2L0NBQCCHw9NNPIz09XWf5BQsWIC8vDx999BEAoKioCDExMVrPe9IUGhqKqKioGn2m0aNHQ6lU4sGDB1XesyR27SMiIiKiRqtv376Ij4/XuhucJgcHB8yePRvx8fF6z8rUZ126dMHp06cRHR2NgQMHwsZGdwrQvn17LFu2DNevX5fPbVIoFHjxxRf1rkOhUODDDz/EkSNHEBwcrLNcjx49cOzYMURHR8trnUzl7OyMCRMmaL1n6W59AM9IEREREVEj17FjRxw7dgzJyck4deoUsrKy4OTkBB8fHwwaNKhBXBNliEKhQGhoKEJDQ3H37l388ssvyMjIQHZ2NlxdXeHl5YWAgAAEBARU+8DgnTt3GnVHvqFDh2Lo0KG4ceMGzpw5g6ysLNjY2KBz587o3LkzvL299SZyxtqxYwd27NhR6+XUBhMpIiIiIiIAHTp0QIcOHaxdDbPz9PQ0+/VEvr6+8PX1Nes6rI1d+4iIiIiIiEzERIqIiIiIiMhETKSIiIiIiIhMxGukiIiIiIgamPDwcPmwXVdXV723Mqc/3L59GwMGDJDjBQUFNV4WEykiIiIiogZG85lOzZo1s2JNGpby8nKkpKTUybLYtY+IiIiIiMhEPCNFRERERI2KEMLaVaiRuLg4a1ehwfPx8amz+POMFBERERERkYkUoqGm5ERERERERFbCM1JEREREREQmYiJFRERERERkIiZSREREREREJmIiRUREREREZCImUkRERERERCZiIkVERERERGQiJlJEREREREQmYiJFRERERERkIiZSREREREREJmIiRUREREREZCImUkRERERERCZiIkVERERERGSi/wf9C8XsBbGUJgAAAABJRU5ErkJggg==\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -199,7 +196,71 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 21, + "id": "49f63fa8-201e-4256-a73b-a9275bdae123", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7fbc9416c880>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 1000x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "h = out[\"variables\"][f\"nBJets\"][\"ttHTobb\"]\n", + "hep.histplot(h[{\"cat\": \"baseline\", \"year\":\"2018\",\"variation\":\"nominal\"}], label=f\"Jet {i}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "22205f91-e87d-4809-9217-421ab78751e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[StairsArtists(stairs=<matplotlib.patches.StepPatch object at 0x7fbc94298430>, errorbar=<ErrorbarContainer object of 3 artists>, legend_artist=<ErrorbarContainer object of 3 artists>)]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 1000x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "h = out[\"variables\"][f\"nJets\"][\"ttHTobb\"]\n", + "hep.histplot(h[{\"cat\": \"baseline\", \"year\":\"2018\",\"variation\":\"nominal\"}], label=f\"Jet {i}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, "id": "b5c7934b-da9f-4f35-aa97-140c7fe58a9a", "metadata": {}, "outputs": [ @@ -212,7 +273,7 @@ }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -231,7 +292,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 23, "id": "675382a5-386a-4fde-9627-2bd0bf99bc24", "metadata": {}, "outputs": [ @@ -245,16 +306,16 @@ { "data": { "text/plain": [ - "<matplotlib.legend.Legend at 0x7f5ffa76d120>" + "<matplotlib.legend.Legend at 0x7fbc8f681820>" ] }, - "execution_count": 30, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAANiCAYAAAADr3qSAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAA9hAAAPYQGoP6dpAABtXklEQVR4nO3deXxU1eH///ckISEkbGEJgWBAKEgAlbWCVsVqlSUQBJWq/aC0/dQPI1JA2y9uQEUpLaipjNYiIhVEsViooIgaKK0FkUUCBFBABBMY0ECIIQlZ7u+P/HI7Q2aSmSwnkLyej0cePZOz3DOT22HenjvnOizLsgQAAAAAMCakricAAAAAAA0NQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYFlbXE6gPoqKilJ+fr9DQULVt27aupwMAAACgjpw8eVLFxcVq3LixcnNz/bZzcEPn6gsNDVVJSUldTwMAAADARSIkJETFxcV+61kRqwFlQSwkJERxcXE1Nq7b7VZsbGyNjdfQj2dZljIzM9W+fXs5HA4jx6zvr2l9Pl5dnC9S/X5N6/vxOGc4XrAawr9LdXHM+nw8zplL43jHjx9XSUmJQkNDK25oodo6dOhgSbI6dOhQo+P26NGjRsdr6MfLzs62JFnZ2dnGjlnfX9P6fLy6OF8sq36/pvX9eJwzHC9YDeHfpbo4Zn0+HufMpXG8QLMBm3UAAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGELuIOZ1OjneJq++vaX0/Xl2o769pfT9eXajvr2l9P55pdfH86vvfkHPm0j9mXf0NuaFzDYiPj1dGRoY6dOigb775pq6nAz/Onj2r5s2bKzs7W82aNavr6eAix/mCYHHOIFicMwgW58ylIdBswIoYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGhdX1BOoTt9utxMREn3VOp7Pe3/DvYhcREaEZM2YoIiKirqeCSwDnC4LFOYNgcc4gWJwzFw+XyyWXy+Wzzu12BzQGN3SuAdzQGQAAAIDEDZ0BAAAA4KJFEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMCwsLqeAADg0mFZlvIKi6s1RmSjUDkcjhqaEQAAl6ZLPoiVlJTo0KFDysjIUHR0tLp06aKWLVsGNUZ+fr4OHjyoU6dOqXXr1uratasiIyNracYAcOnKKyxW4pMfVGuM9N/dqibhl/w/PwgQ4R0AfKvyv4Rut1t//vOftW3bNn3xxRc6duyYOnfurJ49e+onP/mJ7r//foWGhpbrV1xcrCZNmuj8+fMBHeerr75Sp06dyv2+pKREKSkpev7553X06FH796Ghobrttts0f/58de/evcKxs7Oz9dhjj+n111/X2bNn7d83bdpU9957r+bMmaPmzZsHNE8AAFAe4R0AfKvSu9r777+vn/70p8rOzvb6fXp6utLT0/X222/rpZde0sKFC9W3b1+vNkePHg04hPlTXFyssWPHatWqVT7r1q5dq9TUVK1bt07XX3+9zzHcbreuvfZaHTp0qFxdTk6OXnrpJX3wwQf6z3/+o9jY2GrNFwDqo22P36wm4eX/g5sv584Xq//sj2p5RgAAXDqCDmLp6ekaM2aM8vLyJElJSUm6+eabFRcXpwMHDmj58uVKT0/Xjh07dNNNN+nTTz/1Wpn68ssv7fKf//xnJSQkVHg8XyHoqaeeskNY3759NX/+fA0YMECnT5/Wq6++qlmzZikvL0+jR4/W/v371aZNG6/+lmVp3LhxdggbN26cHn/8cV1++eU6dOiQZs+erbfeekuHDx/WnXfeqY0bN3JJBABcoEl4KKsUCArhHQD+K+h/QctCjiQtWLBAEydO9Aopv/nNbzRlyhS9+OKLys7O1uTJk7Vu3Tq73jOI3XvvvYqKigrq+CdPntS8efMkSZ07d9bGjRvVtGlTSVJUVJSefPJJtWzZUg899JCysrI0b948zZ0712uM999/Xxs3bpQkjR07Vm+88Yb9HHr16qXly5erqKhIK1eu1KZNm7Ru3ToNHTo0qHkCAABvhHcA+K+gtq/Pz8/X3//+d0mlK1EXhjBJCg8P13PPPadevXpJkj744ANlZGTY9WVBLD4+PugQJknLly9Xbm6uJGnatGl2CPPkdDrVtm1bSdLixYtVUlLiVb9w4UK7PHPmzHLPweFwaNasWfbjRYsWBT1PAAAAAPAnqCC2a9cuFRYWSipdSfJ3uV54eLhGjBhhP965c6ddLgti3bp1C3qykrRmzRq7PHLkSJ9tQkJClJSUJEk6deqUPvvsM7uuoKBA69evlyR16dJFiYmJPsdITExUly5dJEnr16+3nzcAAAAAVFdQQcztdtvlyr7bFRcXZ5fLLmWUygex/Px87du3Txs2bNDu3bsrDTwHDhyQJPXu3VsdO3b022748OF2eceOHXY5IyND586dkyQNGzbMb5h0OBz2GDk5OTp48GCF8wIAAACAQAV1oXavXr20ePFiSdINN9xQYVvPVaiy0FVYWKjDhw9LkiIiIvSrX/1Kr776qoqKiuy2TZs21V133aUnn3yyXNCyLEsnTpyQVHkQ9OxbFt4k6fjx43Y52DF69OhRYXsAAAAACERQQezyyy/X5ZdfXmm7tLQ0vfnmm5JKvwtWFmCOHDmi4uLSmzqmpKT47JuTk6NXXnlF77zzjlatWqUf/ehHdl1WVpa9YhYTE1PhHFq1amWXPcNXWZCrzhj+WJbldT+yYEVERCgiIqLK/QEAAABUT0FBgQoKCqrc37KsgNoFdWliILZv367bbrvNXuWaPn26wsPDJXnvmCiVbhu/c+dO5ebm6siRI1q1apX69OkjqTR0JScn65tvvrHbe4Yhz5Dki2d92eYeNTWGP5mZmWrevHmVf+bMmVPpMQAAAADUnjlz5lTrM31mZmZAx6mxPWTPnj2rOXPmaN68eXYIu/vuu/XAAw/YbQ4dOqTQ0NL7hzz55JN64okn7O9oJSQkKCEhQcOGDdNPf/pTrVy5UllZWXrqqaf08ssv28coExkZWeF8PFeWPL+jVhNj+NO+fXvt27ev0naBHA8AAACAedOnT9fUqVOr3L9Hjx4BhbFqB7HCwkItXLhQM2fO1KlTp+zf/+IXv9CLL76okJD/LrpNmjRJkyZNqnC8Ro0aKSUlRevWrVNubq5WrFghl8ulsLAwrxsznzlzpsJxPOs9A1dNjOGPw+FQs2bNKm0HAAAA4OJU3a8L+dsM8ELVujTx888/1w9/+EM5nU47hF122WV67733tHDhQjVq1KhK43bo0EGDBg2SVBqGDh06JMl7J8asrKwKx/Csj46Otss1MQYAAAAAVEeVglhxcbGeeOIJDRgwwL5HWExMjObPn68DBw5o6NCh1Z7YFVdcYZe/++47SaVhqOwm0JWFqNOnT9tlz90P27VrZ5erOgYAAAAAVEfQlyZaliWn02l/b8vhcGjSpEmaNWuWWrRoUWMT89zSvnnz5nY5Li5OBw8eVFpamkpKSrwuffSUlpZmlz1v2uy5IrZr164K5+BvDAAAAACojqBXxGbPnm2HsNjYWP373/9WSkpKpSEsNzdXV199tXr16qXf/OY3lR6nbNOLRo0aed3vq3///pJKt6Hfvn273/7vvvuuXR48eLBdjouLs8PYunXr/N5AurCwUOvWrbP7VHbPMQAAAAAIVFBB7OzZs5o7d64kqWXLlvrkk0+8Qk5FoqKi1KFDB+3du1cvvvii12V/F9q7d68++eQTSaU3jvb8ftaoUaPs8sqVK332P3PmjFJTUyWV7lrSvXt3uy4kJEQjR46UJGVnZ+vjjz/2OUZqaqqys7MlScnJyX5X3gAAAAAgWEGli2XLltn303r66afVpUuXoA527733SipdHRs3bpzPG6VlZGTo/vvvty9NvHD1bPTo0fbqVEpKij7//HOv+uLiYjmdTuXn50uSpk2bVu4YkydPtoPV1KlTy4XCrKwsTZkyRVJpcJs8eXJQzxMAAAAAKhLUd8Q2bdpkl6OiouxL9yozcOBAxcTE6K677tKKFSu0atUqrV+/Xt26ddP//u//qlu3bjp79qz27NmjRYsWKScnR5I0ceJE3XLLLV5jRUREKCUlRcnJycrPz9f111+vSZMmqV+/fsrKytJrr71mr6Zdc801Gj9+fLn59OjRQ7/+9a/17LPPat++ferfv78mTZqkTp066eDBg3K5XDpy5Iik0qDmuaIGAAAAANUVVBBzu9122VfA8WfDhg268cYbFRISotdff12jRo1Samqqjh49qscff7xce4fDoYcfflhz5szxOd6oUaP0wgsvaMqUKcrJydEzzzxTrk2/fv20evVqhYX5fopz587VyZMntXTpUh0+fNheAfN033336fe//33AzxMAAAAAAhHUpYmeQayqoqOj9dFHH+nDDz9UcnKyevbsaW9Lf8UVV2jixInavXu3/vCHPyg0NNTvOA8++KC2bdumCRMmKCEhQeHh4YqJidHgwYO1YMECbd68WW3btvXbPywsTK+//rpWr16tESNGqF27dmrUqJHi4uKUlJSkNWvWaPHixRXOAQAAAACqIqgVsb1799bIQR0Oh26++WbdfPPN1Rrnqquu0qJFi6o1xsiRI+3NOwAAAADABLYCBAAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYFlbXE6hP3G63EhMTfdY5nU45nU7DMwIAAABQ01wul1wul886t9sd0BgEsRoUGxur9PT0up4GAAAAgFpU0SJLfHy8MjIyKh2DSxMBAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMPC6noC9Ynb7VZiYqLPOqfTKafTaXhGAAAAAGqay+WSy+XyWed2uwMagyBWg2JjY5Wenl7X0wAAAABQiypaZImPj1dGRkalY3BpIgAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgWFhdT6A+cbvdSkxM9FnndDrldDoNzwgAAABATXO5XHK5XD7r3G53QGMQxGpQbGys0tPT63oaAAAAAGpRRYss8fHxysjIqHQMLk0EAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwLq+sJ1Cdut1uJiYk+65xOp5xOp+EZAQAAAKhpLpdLLpfLZ53b7Q5oDIJYDYqNjVV6enpdTwMAAABALapokSU+Pl4ZGRmVjsGliQAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGBYWF1PICMjQ19//bUkKSEhQR06dAiqf0lJiQ4dOqSMjAxFR0erS5cuatmyZVBj5Ofn6+DBgzp16pRat26trl27KjIyMqgxAAAAACBQVV4Rc7vdmjVrlpKSktS9e3c1adJEPXv21J133qlXXnlFxcXFFfZ///33NWDAAMXHx+vaa6/Vtddeq/j4ePXv31/vvfdepccvKSnRc889p86dO6tbt24aMmSIBgwYoDZt2mjEiBE6cOBApWNkZ2frwQcfVGxsrHr37q2bbrpJV155pWJjYzVx4kRlZ2cH/HoAAAAAQKCqFMTef/99de/eXTNnztSaNWv0xRdfKC8vT+np6Xr77bf1y1/+UgMHDtSOHTt89p8/f76GDRumbdu2lavbvn27hg8frnnz5vk9fnFxscaMGaOpU6fq6NGj5erWrl2rPn36aNOmTX7HcLvd6tevn1wul86ePetVl5OTo5deekl9+/aV2+2u6KUAAAAAgKAFHcTS09M1ZswYe7UoKSlJKSkpWrFihZ566iklJiZKknbs2KGbbrqp3MpUamqqHnnkEUlS69attWzZMmVlZSkrK0tLly5Vq1atJEmPPPKIPv74Y59zeOqpp7Rq1SpJUt++fbVhwwZ9//33OnbsmGbNmqWQkBDl5eVp9OjROnXqVLn+lmVp3LhxOnTokCRp3Lhx2rNnj86dO6fdu3frrrvukiQdPnxYd955pyzLCvZlAgAAAAC/gg5is2bNUl5eniRpwYIFWr16tR566CHdcccdevzxx7Vz505NnDhRUumlf5MnT7b7Wpal6dOny7IshYWFaf369br77rvVsmVLtWzZUvfcc4/Wr1+vsLDSr649+uij5ULQyZMn7dWyzp07a+PGjbrxxhsVFRWl+Ph4Pfnkk3r++eclSVlZWT5X1t5//31t3LhRkjR27Fi98cYb6tmzpyIjI9WrVy8tX75cY8aMkSRt2rRJ69atC/ZlAgAAAAC/ggpi+fn5+vvf/y6pdCVq4sSJcjgcXm3Cw8P13HPPqVevXpKkDz74QBkZGZKktLQ0bd26VZKUnJysPn36lDtG3759lZycLEnaunWr9u7d61W/fPly5ebmSpKmTZumpk2blhvD6XSqbdu2kqTFixerpKTEq37hwoV2eebMmeWeg8Ph0KxZs+zHixYt8vVyAAAAAECVBBXEdu3apcLCQkmlK0kXBpgy4eHhGjFihP14586dkqQ1a9bYvxs1apTf43jWrV271qvOc4yRI0f67B8SEqKkpCRJ0qlTp/TZZ5/ZdQUFBVq/fr0kqUuXLvallBdKTExUly5dJEnr16+3nzcAAAAAVFdQQcxz44qEhIQK28bFxdnlsksZPb8vNmzYML99Pesu3PCjbIzevXurY8eOfscYPny4zzEyMjJ07tw5+zj+wqTD4bDHyMnJ0cGDB/0eCwAAAACCEdR9xHr16qXFixdLkm644YYK23quQnXr1k2SdPz4cUlSdHS0YmJi/PaNiYlRVFSUcnNzvcKbZVk6ceKEpMqDoGdI8xyjbA5VGaNHjx4VtgcAAACAQAQVxC6//HJdfvnllbZLS0vTm2++KUmKj4+3A0xZiKoohJVp1aqVcnNzvYJTVlaWfYlgZWOU7b4oeYevsjlUZwx/LMsqtxV+MCIiIhQREVHl/gAAAACqp6CgQAUFBVXuH+iO60EFsUBs375dSUlJKioqkiRNnz5d4eHhkv4bZjwDjj+tWrXS0aNH7Y05PPsHMoZnfU2P4U9mZqaaN29eaTt/ZsyYoZkzZ1a5PwAAAIDqmTNnjtfGfbWlxoLY2bNnNWfOHM2bN88OYXfffbceeOABrzaSFBkZWel4ZStDZd8v8+wfyBieK0s1PYY/7du31759+yptF8jxAAAAAJg3ffp0TZ06tcr9e/TooczMzErbVTuIFRYWauHChZo5c6bXzZN/8Ytf6MUXX1RIyH/3A2nTpo0yMzN15syZSscta+MZltq0aVOuvrL+tTGGPw6HQ82aNau0HQAAAICLU3W/LuRvM8ALVSuIff7555owYYK9Pb0kXXbZZfrzn/+soUOHlmsfFxenzMxMZWVlVTp2WZvo6Giv/hfWV9a/NsYAAAAAgOoIavv6MsXFxXriiSc0YMAAO4TFxMRo/vz5OnDggM8QJknt2rWTVBpwKvoSm2VZOn36tCTvnQujo6MVFRVlj1GRsv4XjlE2h+qMAQAAAADVEXQQsyxLTqdTs2fPVlFRkRwOhx566CEdOnRIU6dOVePGjf32LVuNOn/+vNeW8hc6cOCAvTvihTdcLhsjLS1NJSUlfsdIS0uzy55jeK6I7dq1y2//isYAAAAAgOoIOojNnj1bL7/8siQpNjZW//73v5WSkqIWLVpU2rd///52+d133/XbzrNu8ODBPsc4ceKEtm/fHvQYcXFxdhhbt26dHfguVFhYqHXr1tl9KrvnGAAAAAAEKqggdvbsWc2dO1eS1LJlS33yySflglJFkpKS7C+vrVy50ufliZZl6Z133pFU+kW3kSNHetWPGjXKLq9cudLncc6cOaPU1FRJpbuWdO/e3a4LCQmxx8zOztbHH3/sc4zU1FRlZ2dLkpKTk702HQEAAACA6ggqXSxbtsy+n9bTTz+tLl26BHWw9u3ba9y4cZKkTz/9VH/5y1/KtXn55Ze1ZcsWSdI999zjdSmhJI0ePdpenUpJSdHnn3/uVV9cXCyn06n8/HxJ0rRp08odY/LkyXawmjp1qtd3waTS745NmTJFUmlwmzx5clDPEwAAAAAqEtSuiZs2bbLLUVFR9qV7lRk4cKBiYmIkSc8884w++OADZWVl6YEHHtDmzZs1dOhQlZSUaO3atVq2bJmk0pspz549u9xYERERSklJUXJysvLz83X99ddr0qRJ6tevn7KysvTaa6/pk08+kSRdc801Gj9+fLkxevTooV//+td69tlntW/fPvXv31+TJk1Sp06ddPDgQblcLh05ckRSaVDzXFEDAAAAgOoKKoi53W677Cvg+LNhwwbdeOONkqROnTpp9erVuv3223Xq1CktWbJES5Ys8Wrftm1brVq1yu/3skaNGqUXXnhBU6ZMUU5Ojp555plybfr166fVq1crLMz3U5w7d65OnjyppUuX6vDhw/YKmKf77rtPv//97wN+ngAAAAAQiKAuTfQMYtVx3XXXaffu3Xr00UeVmJioqKgoRUdHq2fPnnrssce0Z88eDRo0qMIxHnzwQW3btk0TJkxQQkKCwsPDFRMTo8GDB2vBggXavHmz2rZt67d/WFiYXn/9da1evVojRoxQu3bt1KhRI8XFxSkpKUlr1qzR4sWLFRoaWiPPGQAAAADKBLUitnfv3ho7cGxsrJ5++mk9/fTTVR7jqquu0qJFi6o1j5EjR5bbEAQAAAAAahNbAQIAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADAur6wnUJ263W4mJiT7rnE6nnE6n4RkBAAAAqGkul0sul8tnndvtDmgMglgNio2NVXp6el1PAwAAAEAtqmiRJT4+XhkZGZWOwaWJAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGsWsiACBwlqVI5ZeWz+cq4H9Gzhf9t59l1crUcJHinAEAnwhiAIDAFZ7TvsYTSsvzAu/WRNK+xqXlc4VHpYjmNT41XKQ4ZwDAJy5NBAAAAADDWBEDAFTJucn71SSqWWBtc8+qScoVtTwjXOw4ZwDgvwhiAICqadRECo8KrO35otqdCy4NnDMAYOPSRAAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADAsrK4nUJ+43W4lJib6rHM6nXI6nYZnBAAAAKCmuVwuuVwun3VutzugMQhiNSg2Nlbp6el1PQ0AAAAAtaiiRZb4+HhlZGRUOgaXJgIAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhoXV9QTqE7fbrcTERJ91TqdTTqfT8IwAAAAA1DSXyyWXy+Wzzu12BzQGQawGxcbGKj09va6nAQAAAKAWVbTIEh8fr4yMjErH4NJEAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMCwsLqeQH3idruVmJjos87pdMrpdBqeEQAAAICa5nK55HK5fNa53e6AxiCI1aDY2Filp6fX9TQAAAAA1KKKFlni4+OVkZFR6RhcmggAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGhdX1BKqrpKREhw4dUkZGhqKjo9WlSxe1bNkyqDHy8/N18OBBnTp1Sq1bt1bXrl0VGRlZSzMGAAAA0NDV2IqYy+WSw+HQzJkzK2xXXFysiIgIORyOgH6OHDnic5ySkhI999xz6ty5s7p166YhQ4ZowIABatOmjUaMGKEDBw5UOufs7Gw9+OCDio2NVe/evXXTTTfpyiuvVGxsrCZOnKjs7OwqvBIAAAAAULEaC2JLly4NqN3Ro0d1/vz5ah2ruLhYY8aM0dSpU3X06NFydWvXrlWfPn20adMmv2O43W7169dPLpdLZ8+e9arLycnRSy+9pL59+8rtdldrrgAAAABwoRq5NHHx4sXasmVLQG2//PJLu/znP/9ZCQkJFbaPjY0t97unnnpKq1atkiT17dtX8+fP14ABA3T69Gm9+uqrmjVrlvLy8jR69Gjt379fbdq08epvWZbGjRunQ4cOSZLGjRunxx9/XJdffrkOHTqk2bNn66233tLhw4d15513auPGjXI4HAE9PwAAAACoTJWDWHZ2ttLS0rR48eKAV8Mk7yB27733KioqKqjjnjx5UvPmzZMkde7cWRs3blTTpk0lSVFRUXryySfVsmVLPfTQQ8rKytK8efM0d+5crzHef/99bdy4UZI0duxYvfHGG3bQ6tWrl5YvX66ioiKtXLlSmzZt0rp16zR06NCg5gkAAAAA/lTp0sSBAweqRYsWuv7667V48WIVFhYG3LcsiMXHxwcdwiRp+fLlys3NlSRNmzbNDmGenE6n2rZtK6l0ta6kpMSrfuHChXZ55syZ5Va7HA6HZs2aZT9etGhR0PMEAAAAAH+qFMROnjxZ5QOWBbFu3bpVqf+aNWvs8siRI322CQkJUVJSkiTp1KlT+uyzz+y6goICrV+/XpLUpUsXJSYm+hwjMTFRXbp0kSStX78+qLAJAAAAABWpUhA7cOCA8vLy7J/9+/cH3PfCIJafn699+/Zpw4YN2r17d6WBp2w3xN69e6tjx45+2w0fPtwu79ixwy5nZGTo3LlzkqRhw4b5/e6Xw+Gwx8jJydHBgwcre2oAAAAAEJAqBbGIiAg1btzY/omIiAioX2FhoQ4fPmyP8atf/UpNmzZVYmKivXV8q1at9Mtf/lLHjh0r19+yLJ04cUKSKt3kwzOkeW5lf/z4cbtc1TEAAAAAoDqM3tD5yJEjKi4uliSlpKT4bJOTk6NXXnlF77zzjlatWqUf/ehHdl1WVpa9YhYTE1PhsVq1amWXPcNXWZCrzhj+WJZVbiv8YERERAQcagEAAADUvIKCAhUUFFS5v2VZAbWrsfuIBcJzx0SpdNv4nTt3Kjc3V0eOHNGqVavUp08fSaWhKzk5Wd98843d3jMMeYYkXzzryzb3qKkx/MnMzFTz5s2r/DNnzpxKjwEAAACg9syZM6dan+kzMzMDOo7RFbFDhw4pNDRUkvTkk0/qiSeesL+jlZCQoISEBA0bNkw//elPtXLlSmVlZempp57Syy+/LEleq02RkZEVHstzZSkvL88u18QY/rRv31779u2rtF0gxwMAAABg3vTp0zV16tQq9+/Ro0dAYcxoEJs0aZImTZpUYZtGjRopJSVF69atU25urlasWCGXy6WwsDCvGzOfOXOmwnE86z0DV02M4Y/D4VCzZs0qbQcAAADg4lTdrwv52wzwQkYvTQxUhw4dNGjQIEmlYejQoUOSpLi4OLtNVlZWhWN41kdHR9vlmhgDAAAAAKrjogxiknTFFVfY5e+++05SaRgquwl0ZSHq9OnTdtlz98N27drZ5aqOAQAAAADVcdEGsaKiIrvcvHlzu1y2opWWlqaSkhK//dPS0uyy502bPVfEdu3aVeEc/I0BAAAAANVhLIjl5ubq6quvVq9evfSb3/ym0vZlm140atTI635f/fv3l1S6Df327dv99n/33Xft8uDBg+1yXFycHcbWrVvn9wbShYWFWrdund2nsnuOAQAAAECgjAWxqKgodejQQXv37tWLL77oddnfhfbu3atPPvlEknTDDTd4fT9r1KhRdnnlypU++585c0apqamSSnct6d69u10XEhKikSNHSpKys7P18ccf+xwjNTVV2dnZkqTk5GSFhFy0i4cAAAAALjFG08W9994rqXR1bNy4cT5vlJaRkaH777/fvjTxwtWz0aNH26tTKSkp+vzzz73qi4uL5XQ6lZ+fL0maNm1auWNMnjzZDlZTp04tFwqzsrI0ZcoUSaXBbfLkycE+VQAAAADwy+j29XfddZdWrFihVatWaf369erWrZv+93//V926ddPZs2e1Z88eLVq0SDk5OZKkiRMn6pZbbvEaIyIiQikpKUpOTlZ+fr6uv/56TZo0Sf369VNWVpZee+01ezXtmmuu0fjx48vNo0ePHvr1r3+tZ599Vvv27VP//v01adIkderUSQcPHpTL5dKRI0cklQY1zxU1AAAAAKguo0EsJCREr7/+ukaNGqXU1FQdPXpUjz/+eLl2DodDDz/8sObMmeNznFGjRumFF17QlClTlJOTo2eeeaZcm379+mn16tUKC/P9FOfOnauTJ09q6dKlOnz4sL0C5um+++7T73//+yCfJQAAAABUzPgXn6Kjo/XRRx/pww8/VHJysnr27GlvS3/FFVdo4sSJ2r17t/7whz8oNDTU7zgPPvigtm3bpgkTJighIUHh4eGKiYnR4MGDtWDBAm3evFlt27b12z8sLEyvv/66Vq9erREjRqhdu3Zq1KiR4uLilJSUpDVr1mjx4sUVzgEAAAAAqqJGVsQ6deoky7ICbu9wOHTzzTfr5ptvrtZxr7rqKi1atKhaY4wcOdLevAMAAAAATGArQAAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYWF1PYH6xO12KzEx0Wed0+mU0+k0PCMAAAAANc3lcsnlcvmsc7vdAY1BEKtBsbGxSk9Pr+tpAAAAAKhFFS2yxMfHKyMjo9IxuDQRAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADAsrK4nUJ+43W4lJib6rHM6nXI6nYZnBAAAAKCmuVwuuVwun3VutzugMQhiNSg2Nlbp6el1PQ0AAAAAtaiiRZb4+HhlZGRUOgaXJgIAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhoXV9QTqE7fbrcTERJ91TqdTTqfT8IwAAAAA1DSXyyWXy+Wzzu12BzQGQawGxcbGKj09va6nAQAAAKAWVbTIEh8fr4yMjErH4NJEAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMCwsLqeQH3idruVmJjos87pdMrpdBqeEQAAAICa5nK55HK5fNa53e6AxiCI1aDY2Filp6fX9TQAAAAA1KKKFlni4+OVkZFR6RhcmggAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMCysrieQkZGhr7/+WpKUkJCgDh06BNW/pKREhw4dUkZGhqKjo9WlSxe1bNkyqDHy8/N18OBBnTp1Sq1bt1bXrl0VGRkZ1BgAAAAAEKgaWxFzuVxyOByaOXNmQO3ff/99DRgwQPHx8br22mt17bXXKj4+Xv3799d7771Xaf+SkhI999xz6ty5s7p166YhQ4ZowIABatOmjUaMGKEDBw5UOkZ2drYefPBBxcbGqnfv3rrpppt05ZVXKjY2VhMnTlR2dnZAzwUAAAAAglFjQWzp0qUBt50/f76GDRumbdu2lavbvn27hg8frnnz5vntX1xcrDFjxmjq1Kk6evRoubq1a9eqT58+2rRpk98x3G63+vXrJ5fLpbNnz3rV5eTk6KWXXlLfvn3ldrsDfl4AAAAAEIgaCWKLFy/Wli1bAmqbmpqqRx55RJLUunVrLVu2TFlZWcrKytLSpUvVqlUrSdIjjzyijz/+2OcYTz31lFatWiVJ6tu3rzZs2KDvv/9ex44d06xZsxQSEqK8vDyNHj1ap06dKtffsiyNGzdOhw4dkiSNGzdOe/bs0blz57R7927dddddkqTDhw/rzjvvlGVZQb0eAAAAAFCRKgex7Oxs/etf/9KECRP0q1/9KqA+lmVp+vTpsixLYWFhWr9+ve6++261bNlSLVu21D333KP169crLKz0q2uPPvpouRB08uRJe7Wsc+fO2rhxo2688UZFRUUpPj5eTz75pJ5//nlJUlZWls+Vtffff18bN26UJI0dO1ZvvPGGevbsqcjISPXq1UvLly/XmDFjJEmbNm3SunXrqvISAQAAAIBPVQpiAwcOVIsWLXT99ddr8eLFKiwsDKhfWlqatm7dKklKTk5Wnz59yrXp27evkpOTJUlbt27V3r17veqXL1+u3NxcSdK0adPUtGnTcmM4nU61bdtWUulqXUlJiVf9woUL7fLMmTPlcDi86h0Oh2bNmmU/XrRoUUDPDwAAAAACUaUgdvLkySodbM2aNXZ51KhRftt51q1du9bvGCNHjvTZPyQkRElJSZKkU6dO6bPPPrPrCgoKtH79eklSly5dlJiY6HOMxMREdenSRZK0fv36gMMmAAAAAFSmSkHswIEDysvLs3/2798fcL8yw4YN89vOs27Hjh0+x+jdu7c6duzod4zhw4f7HCMjI0Pnzp2zj3PhalgZh8Nhj5GTk6ODBw/6PRYAAAAABKNKQSwiIkKNGze2fyIiIgLqd/z4cUlSdHS0YmJi/LaLiYlRVFSUJO/wZlmWTpw4Ian0nmMV8QxpnmOUzaE6YwAAAABAddTY9vWBKAtRFYWwMmW7J3oGp6ysLPsSwcrGKOt/4Rhlc6jOGAAAAABQHWEmD1YWZjwDjj+tWrXS0aNH7Y05PPsHMoZnfU2P4Y9lWeXuSRaMiIiIgFcXAQAAANS8goICFRQUVLl/oLe+MhrEykJKZGRkpW3LAkleXl65/oGM4RloanoMfzIzM9W8efNK2/kzY8YMzZw5s8r9AQAAAFTPnDlzvHZQry1Gg1ibNm2UmZmpM2fOVNq2rI1nWGrTpk25+sr618YY/rRv31779u2rtJ0/rIYBAAAAdWv69OmaOnVqlfv36NFDmZmZlbYzGsTi4uKUmZmprKysStuWtYmOjvbqf2F9Zf1rYwx/HA6HmjVrVmk7AAAAABen6n5dyN+u7BcyullHu3btJJUGnIqunbQsS6dPn5bkvXNhdHS0vZtiZSGqrP+FY5TNoTpjAAAAAEB1GA1iZatR58+fr3A7+AMHDti7I154w+WyMdLS0lRSUuJ3jLS0NLvsOYbnitiuXbsqnK+/MQAAAACgOowGsf79+9vld9991287z7rBgwf7HOPEiRPavn170GPExcXZYWzdunV24LtQYWGh1q1bZ/ep7J5jAAAAABAoo0EsKSnJvmZy5cqVPi9PtCxL77zzjqTS6ytHjhzpVT9q1Ci7vHLlSp/HOXPmjFJTUyWVflmue/fudl1ISIg9ZnZ2tj7++GOfY6Smpio7O1uSlJycrJAQoy8VAAAAgHrMaLpo3769xo0bJ0n69NNP9Ze//KVcm5dffllbtmyRJN1zzz1elxJK0ujRo+3VqZSUFH3++ede9cXFxXI6ncrPz5ckTZs2rdwxJk+ebAerqVOnen0XTCr97tiUKVMklQa3yZMnB/tUAQAAAMAvo7smStIzzzyjDz74QFlZWXrggQe0efNmDR06VCUlJVq7dq2WLVsmqfRmyrNnzy7XPyIiQikpKUpOTlZ+fr6uv/56TZo0Sf369VNWVpZee+01ffLJJ5Kka665RuPHjy83Ro8ePfTrX/9azz77rPbt26f+/ftr0qRJ6tSpkw4ePCiXy6UjR45IKg1qnitqAAAAAFBdxoNYp06dtHr1at1+++06deqUlixZoiVLlni1adu2rVatWuX3e1mjRo3SCy+8oClTpignJ0fPPPNMuTb9+vXT6tWrFRbm+ynOnTtXJ0+e1NKlS3X48GF7BczTfffdp9///vdVeJYAAAAA4F+dfPHpuuuu0+7du/Xoo48qMTFRUVFRio6OVs+ePfXYY49pz549GjRoUIVjPPjgg9q2bZsmTJighIQEhYeHKyYmRoMHD9aCBQu0efNmtW3b1m//sLAwvf7661q9erVGjBihdu3aqVGjRoqLi1NSUpLWrFmjxYsXKzQ0tKafPgAAAIAGrkZWxDp16lThfcF8iY2N1dNPP62nn366yse96qqrtGjRoir3l6SRI0eW2xAEAAAAAGoTWwECAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYWF1PYH6xO12KzEx0Wed0+mU0+k0PCMAAAAANc3lcsnlcvmsc7vdAY1BEKtBsbGxSk9Pr+tpAAAAAKhFFS2yxMfHKyMjo9IxuDQRAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYWF1PYH6xO12KzEx0Wed0+mU0+k0PCMAAAAANc3lcsnlcvmsc7vdAY1BEKtBsbGxSk9Pr+tpAAAAAKhFFS2yxMfHKyMjo9IxuDQRAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADAsrK4nUJ+43W4lJib6rHM6nXI6nYZnBAAAAKCmuVwuuVwun3VutzugMQhiNSg2Nlbp6el1PQ0AAAAAtaiiRZb4+HhlZGRUOgaXJgIAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhoXV9QTqE7fbrcTERJ91TqdTTqfT8IwAAAAA1DSXyyWXy+Wzzu12BzQGQawGxcbGKj09va6nAQAAAKAWVbTIEh8fr4yMjErH4NJEAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMCysridQEzIyMvT1119LkhISEtShQ4eg+peUlOjQoUPKyMhQdHS0unTpopYtW9bGVAEAAACg7lbEbrnlFjkcjoB+XnvtNZ9jvP/++xowYIDi4+N17bXX6tprr1V8fLz69++v9957r9I5lJSU6LnnnlPnzp3VrVs3DRkyRAMGDFCbNm00YsQIHThwoIafNQAAAADUYRD74osvqtV//vz5GjZsmLZt21aubvv27Ro+fLjmzZvnt39xcbHGjBmjqVOn6ujRo+Xq1q5dqz59+mjTpk3VmicAAAAAXKhOLk3Mz8/XsWPHJEkTJ05UUlJShe179+7t9Tg1NVWPPPKIJKl169ZKSUnR0KFDJUnvvfeeJk+erO+++06PPPKI+vTpox//+Mflxnzqqae0atUqSVLfvn01f/58DRgwQKdPn9arr76qWbNmKS8vT6NHj9b+/fvVpk2b6j5tAAAAAJBUR0Hs0KFDsixLkjRixAjddtttAfe1LEvTp0+XZVkKCwvT+vXr1adPH7v+nnvuUY8ePfTDH/5QRUVFevTRR7VlyxY5HA67zcmTJ+3Vss6dO2vjxo1q2rSpJCkqKkpPPvmkWrZsqYceekhZWVmaN2+e5s6dWxNPHQAAAADq5tLEL7/80i5369YtqL5paWnaunWrJCk5OdkrhJXp27evkpOTJUlbt27V3r17veqXL1+u3NxcSdK0adPsEObJ6XSqbdu2kqTFixerpKQkqHkCAAAAgD91GsQaNWqkhISEoPquWbPGLo8aNcpvO8+6tWvX+h1j5MiRPvuHhITYl0yeOnVKn332WVDzBAAAAAB/6jSIdenSRWFhYSouLtaRI0e0ceNGbd++XWfPnvXb13Mnw2HDhvlt51m3Y8cOn2P07t1bHTt29DvG8OHD/Y4BAAAAAFVVJ0GsbMfEuLg4zZkzR23btlXnzp01ZMgQ9e/fX61atdLQoUO1ZcuWcn2PHz8uSYqOjlZMTIzfY8TExCgqKkqSd3izLEsnTpyQpEpX4zxDGlvZAwAAAKgpdbJZR9mK2IYNG7Rhw4Zy9UVFRVq3bp3Wr1+v559/XpMmTbLrykJURSGsTKtWrZSbm2uHN0nKyspSYWFhQGO0atXKLnuO4Y9lWRWu5lUmIiJCERERVe4PAAAAoHoKCgpUUFBQ5f5lmxJWxviKWG5urjIzM+3Hffr00YcffqgzZ87o22+/1YYNG3TXXXdJKr3h8kMPPeR1c+ayQOQZkvwpa1O2MYdn/0DG8Kz3HMOfzMxMNW/evMo/c+bMqfQYAAAAAGrPnDlzqvWZ3jPrVMT4itihQ4cUGhoqqfR7XG+88Yaio6Pt+htvvFE33nijfvjDH2rq1KmSSnc2vO222xQSEmKvOEVGRlZ6rLLVpby8PPt3nitWlY3huTrlOYY/7du31759+yptF8jxAAAAAJg3ffp0O4dURY8ePQIKY8aD2JVXXqmioqJK2z300ENatmyZtm/frv379+vzzz9X37591aZNG2VmZurMmTOVjlHWxjNwed6YubIxPOsDCX4Oh0PNmjWrtB0AAACAi1N1vy7kef/iitTJZh2BCA0N1ejRo+3HZdvHx8XFSSr9rldlytp4rriV9Q9kDM96zzEAAAAAoDou2iAmSVdccYVd/u677yRJ7dq1k1Qakir6IpxlWTp9+rQk790Po6Oj7d0UKwtiZf0vHAMAAAAAquOiDmKelzA2b95c0n9XtM6fP1/hlvIHDhywd0dMTEz0qisbIy0tTSUlJX7HSEtLs8sXjgEAAAAAVWU8iN1zzz3q1auXfvzjH1cYgiR5bXzRrVs3SVL//v3t37377rt++3rWDR482KuubIwTJ05o+/btVRoDAAAAAKrKeBC7+uqrtXfvXqWmpuqjjz7y2y4vL0+vv/66pNLLCa+77jpJUlJSkv0FuJUrV/q8PNGyLL3zzjuSSr8sN3LkSK/6UaNG2eWVK1f6PP6ZM2eUmpoqqXTnk+7duwf6FAEAAICLgmVZOne+qFo/gd4XC8ExvmviuHHj9P/+3/9TSUmJJkyYoM2bN5f7/lVeXp4mTZqkw4cPSyrdQbFs18L27dtr3LhxWr58uT799FP95S9/0a9+9Suv/i+//LK2bNkiqXQFznODDkkaPXq0EhIS9PXXXyslJUXjxo3T1VdfbdcXFxfL6XQqPz9fUun2+QAAAMClJq+wWIlPflCtMdJ/d6uahBuPDfWe8Ve0Y8eOmj9/vqZMmaKMjAz16NFDv/rVr3T11VcrLCxM+/bt0/Lly3Xw4EFJUr9+/fT44497jfHMM8/ogw8+UFZWlh544AFt3rxZQ4cOVUlJidauXatly5ZJKr0h8+zZs8vNISIiQikpKUpOTlZ+fr6uv/56TZo0Sf369VNWVpZee+01ffLJJ5Kka665RuPHj6/lVwUAAABAQ1In0Xby5MnKyMjQs88+q9zcXD377LM+291666164403yt3Dq1OnTlq9erVuv/12nTp1SkuWLNGSJUu82rRt21arVq1SQkKCz7FHjRqlF154QVOmTFFOTo6eeeaZcm369eun1atXKyyM/wIAAACAS9u2x29Wk/DQgNqeO1+s/rP9f40I1VcnuyY6HA798Y9/VHp6un7+85+rX79+at26tcLDw3XZZZdp3Lhxeu+99/T+++8rJibG5xjXXXeddu/erUcffVSJiYmKiopSdHS0evbsqccee0x79uzRoEGDKpzHgw8+qG3btmnChAlKSEhQeHi4YmJiNHjwYC1YsECbN29W27Zta+MlAAAAAIxqEh6qJuFhAf4EFthQdXW61NO9e3e98sorVe4fGxurp59+Wk8//XSVx7jqqqu0aNGiKvcHAAAAgGBd1PcRAwAAAID6iCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYFlbXEwAAAOZYlqW8wuJqjRHZKFQOh6OGZgQADRNBDACABiSvsFiJT35QrTHSf3ermoTzEQIAqoNLEwEAAADAMP5zFgAADdS2x29Wk/DQgNqeO1+s/rM/quUZAUDDQRCrQW63W4mJiT7rnE6nnE6n4RkBAOBfk/BQLjEEgCpwuVxyuVw+69xud0Bj8O5bg2JjY5Wenl7X0wAAAABQiypaZImPj1dGRkalY/AdMQAAAAAwjCAGAAAAAIYRxAAAAADAML4jBgBAQ2JZilR+afl8rgL+KHC+6L/9LKtWpgYADQlBDACAhqTwnPY1nlBanhd4tyaS9jUuLZ8rPCpFNK/xqQFAQ8KliQAAAABgGCtiAAA0UOcm71eTqGaBtc09qyYpV9TyjACg4SCIAQDQUDVqIoVHBdb2fFHtzgUAGhguTQQAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGsX09AAAAUF9ZliKVX1o+n6uAP/6fL/pvP8uqlak1dAQxAAAAoL4qPKd9jSeUlucF3q2JpH2NS8vnCo9KEc1rfGoNHZcmAgAAAIBhrIgBAAAADcC5yfvVJKpZYG1zz6pJyhW1PKOGjSAGAAAANASNmkjhUYG1PV9Uu3MBlyYCAAAAgGkEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAw9i+HgCAS5BlWcorLA6637nzxWpSC/MBAASHIAYAwCUor7BYiU9+EHS/SOVrX+NamBAAICgEsRrkdruVmJjos87pdMrpdBqeEQAAAICa5nK55HK5fNa53e6AxiCI1aDY2Filp6fX9TQAAA3MtsdvVpPw0MAan8+V5pUWIxsF2AcA4KWiRZb4+HhlZGRUOgZBDACAS1yT8FA1CQ/0n/T/tnM4HLUzIQBApdg1EQAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAw7iPGAAAlyLLUqTyS8vncxXwP+nnz9XalAAAgSOIAQBwKSo8p32NJ5SW59XtVAAAwePSRAAAAAAwjBUxAAAucecm71eTqGbBd2zUpOYnAwAICEEMAIBLXaMmUnhUXc8CABAELk0EAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMXRMBAKgjlmUpr7C4Sn3PnS8Wm88DwKWLIAYAQB3JKyxW4pMfVKlvpPK1r3ENTwgAYAxBDABg1LnzxdL5oqD7RTYKlcPhqIUZAQBgHkEMAGDUj/6wQXkKfikn/Xe3qkl4YP9sVeeSvzKmg9+2x29Wk/DQwDucz5XmlRYjGwXRDwBwUSCIAQDqnepc8lcmmOBXE5qEhwZ5vP+2ZaUQAC49BDEAQK3zXLHZ/vjNUnhUQP3OnS9W/9kf1da0AACoMwQxAECt81yxaRIeJhlcaQrmkj+CHwDAFIIYAMCs8+eCaFukSOWXli2rSocL/pI/AABqH/8yAQDMmtc14KZNJHuL9nOFR6WI5oF1tKz/BrjzuQr4n7saCH5Bqeo8peACLQDgokMQq0Fut1uJiYk+65xOp5xOp+EZAUADVXhO+xpPKC3PC7xblYNfVVVxngCAuuVyueRyuXzWud3ugMYgiNWg2NhYpaen1/U0AODi06iJ9Ghm0N3O5Z5Vk5QrSstB3H/s3PliNQn6aAAABKaiRZb4+HhlZGRUOgZBDABQ+xyOgHdK9OIRvIK5/1ik8v+7sjV5v5pENQuoX1WDn9exq3j/sWDmWU4jYicAXGoIYgCA+q1Rk8BDYBWDn6cq338smHkCAC55BDEAwEWrqvcf0/lc+ztXnmMAAHCxIIgBAC5aVb//2H/bBXOZIDeeBgCYQhADAFwagrr/WNW2dvcKfjqvwP+ZNLztPQDgkkcQAwBcGoK4/5jp4xnf9h4AcMkLqesJAAAAAEBDw4oYAODiVcX7j5Ubo5aP57ntPQAAgSCIAQAuXlW9/5jp41XhfmMAgIaNSxMBAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABgWVtcTqE/cbrcSExN91jmdTjmdTsMzAgAAAFDTXC6XXC6Xzzq32x3QGASxGhQbG6v09PS6ngYAAACAWlTRIkt8fLwyMjIqHYNLEwEAAADAMIIYAAAAABhGEAMAAAAAwwhiAAAAAGAYQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwDCCGAAAAAAYRhBDg1FQUKCZM2eqoKCgrqeCSwDnC4JVUGRp5sZ8zhkEjPcZBItzpn4hiKHBKCgo0KxZs3jzQkA4XxCsgmJp1j/Pc84gYLzPIFicM/ULQQwAAAAADCOIAQAAAIBhBDEAAAAAMIwgBgAAAACGEcQAAAAAwLCwup7AxeT06dM6fPiwcnJy1L59e3Xt2lUhIWRVAAAAADWLlCHpiy++UFJSktq0aaP+/ftryJAh6t69uzp16qT58+eruLi4rqcIAAAAoB5p8EHsX//6l/r06aM1a9aUC1zHjh3Tww8/rNtvv71OwpjL5eJ4l7j6/prW9+PVhfr+mtb349UF46/p1vP1+3j1/Jypi+dX3/9/X+/PGcP/H5Qazt+wQQexb7/9VqNHj9a5c+cUEhKi3/3udzp27Ji+//57paamqk+fPpKkf/zjH/rd735nfH71/SSs729cUv1/Tev78epCfX9N6/vx6oLx1/Qzw8HI9PHq+TlDELv0j2ea6f8PSg3nb9igg9gf/vAHfffdd5KkP/3pT3riiScUHx+vqKgoDRkyRBs3blSnTp0kSfPnz9epU6fqcLYAAAAA6osGG8SKi4v16quvSpLatm2rBx54oFybZs2a6eGHH5Yk5ebm6q233jI6RwAAAAD1U4MNYlu2bLFXw5KSkhQaGuqz3ciRI+3y2rVrjcwNAAAAQP3WYIPYgQMH7PKwYcP8tuvYsaOuvPJKSdKOHTtqfV4AAAAA6r8Gex+x48eP2+WEhIQK23bs2FFpaWk6efKkzpw5oxYtWtTy7Krn3PfZVepnlZRUue+lcLxz35/9//83W2EhlpFj1vfXtD4fry7OF+nif03zcnPUpBbnUx/kn/s+4Nf0Un0983Jzgmpb3ecYzPGqq76/z5h+j6mLY9bn41XlnLnU/j8oVf01bRLdvBZmU3sclmWZ+4RxEZk0aZIWLFggSTp8+LA6d+7st+348eP117/+VZKUnp6uHj16eNWHh4ersLBQISEhateuXZXn5HA4vB673W7FxsYGP9DZzCod351rKTbKUXnDGmL6eJakzBxL7Zs6ZOqo9f01rc/Hq4vzRbq0XlOraVy5961Kj1fV97UqMnU8y7KknOPVOmeq8npKZp+jI+e4sXOmJo5XFfX9fcb061kXx6zPx6vuOXMp/H9QqsZr2qx91Y7n4320OhHpxIkTKikpUaNGjXT+vP9dJxtsEBs7dqxWrlwpScrOzlazZs38tp06daqee+45SdJnn32m/v37e9WHhoaqpKSk9iYLAAAA4JISEhJS4b2IG+yliWfPnrXLkZGRFbaNiIiwy3l5eeXqGzdurPz8fIWGhqpNmzZVnlNV/ksoAAAAgJpVnbWqU6dOqbi4WI0bN66wXYMNYp6B6cyZMxUGqDNnzthlX6EtNze3RucGAAAAoH5rsLsmxsXF2eWsrKwK23rWR0dH19qcAAAAADQMDTaIeW6qUVkQO336tF3u0KFDrc0JAAAAQMPQYIOY54rYrl27/LYrKSnR7t27JUmXXXaZmjZtWutzAwAAAFC/Ndgg5rnz4bvvvuu33fbt23XixAlJ0uDBg2t9XgAAAADqvwYbxLp3767u3btLkj7++GOvyw89vfPOO3Z59OjRRuYGAAAAoH5rsEFMKr0/mCQVFBRo0qRJ5e4FtnPnTj3//POSpM6dOys5OdnwDAEAAADURw32hs6SVFhYqOuuu05bt26VJF1//fW677771KxZM23dulUvvviivv/+ezkcDq1evVpJSUl1PGOYkpGRoa+//lqSlJCQwCYtqBTnTMN2+vRpHT58WDk5OWrfvr26du2qkJAG/d86UU28pyBYnDOXIKuBO378uNWnTx9Lks+fRo0aWS+99FJdTxMBOHHihDVz5kxrxIgRVrdu3azIyEgrMTHRuuOOO6yFCxdaRUVFlY7x3nvvWf379y93HvTr189au3atgWeBurRgwQJLkjVjxoyA+3DONGwHDhywRowYYYWGhnr9/Tt27GjNmzcvoPcd1G/Bvq/wntLwVPfzC+fMpavBBzHLsqyCggLrhRdesAYNGmTFxMRY4eHhVqdOnaxf/OIXVlpaWl1PDwF47733rObNm/sN1JKsvn37Wtu3b/c7xrx58yrsL8n64x//aPBZwbRrrrkmqA9MnDMN26ZNm6wmTZpU+PcfOXIkYayBC+Z9hfeUhqe6n184Zy5tBDFc8vbu3WtFRkbabzhJSUlWSkqKtWLFCuupp56yEhMT7brmzZtb+/fvLzfGxx9/bDkcDkuS1bp1a2vZsmVWVlaWlZWVZS1dutRq1aqVPcZHH31UB88Ste3VV1+1/8aBfGDinGnYTp06Zf+NQ0JCrN/97nfWsWPHrO+//95KTU31utLiySefrOvpoo4E877Ce0rDU93PL5wzlz6CGC55d955p/1Gs2DBAqukpMSrvqCgwJo4caLd5tZbb/WqLykpsQYOHGhJssLCwqwdO3aUO8b27dutsLAwS5I1cODAcsfApenMmTPWpk2brPvvv99q1KhRwB+YOGfwyCOPeL3vXCg7O9vq1KmTJcmKioqyTp48WQezRF2oyvsK7ykNU3U+v3DO1A8EMVzS8vLy7H/o+vbt6/dNpqCgwOrVq5f9ZvbNN9/YdZ9//rn9+7Fjx/o91tixY+12u3fvrvHnArMGDBjg9zKOyoIY50zDVlRUZP+X5rZt2/q99LDsu0GSrBdeeMHwLFEXqvq+wntKw1Pdzy+cM/UDWzrhkrZr1y4VFhZKksaOHSuHw+GzXXh4uEaMGGE/3rlzp11es2aNXR41apTfY3nWrV27tspzxsXh5MmTVe7LOdOwbdmyRd99950kKSkpSaGhoT7bjRw50i7z928Yqvq+wntKw1Pdzy+cM/UDQQyXNLfbbZcTEhIqbBsXF2eX8/Ly7PKBAwfs8rBhw/z296zbsWNHUPPExefAgQPKy8uzf/bv3x9U3zKcMw1PoH//jh076sorr5TE37+hqOr7Cu8pDU91P79wztQPYXU9AaA6evXqpcWLF0uSbrjhhgrbfvbZZ3a5W7dudvn48eOSpOjoaMXExPjtHxMTo6ioKOXm5nq9AeLSFBERUeHjinDONGxlf3+p8g9QHTt2VFpamk6ePKkzZ86oRYsWtTw71KWqvq/wntLwVPfzC+dM/UAQwyXt8ssv1+WXX15pu7S0NL355puSpPj4ePXo0cOuO3HihCRV+EZWplWrVsrNzfX6IIaGh3OmYSv7+0uVnwOtWrWyy8ePHyeIwSfeUxqe6n5+4ZypH7g0EfXe9u3bddttt6moqEiSNH36dIWHh9v1ZW9Mnh+Y/Clrk5ubWwszxaWCc6Zh8/wwU9k54FnPOQB/eE+BLxV9fuGcqR8IYqi3zp49q+nTp+uaa66x37DuvvtuPfDAA+XaSVJkZGSlY5ZdZuL5HTM0PJwzDVvZ31+q/BzwvDSNcwD+8J4CT4F8fuGcqR+4NBEXrd27dysjI8NnXdeuXdW1a1efdYWFhVq4cKFmzpypU6dO2b//xS9+oRdffFEhId7//aFNmzbKzMzUmTNnKp1TWZtA3vhgXlXPmWBxzjRsbdq0sctnzpzxenwhz3OEcwD+8J4CKbjPL5wz9QNBDBet+fPna8mSJT7rZsyYoZkzZ5b7/eeff64JEyZ4bU9/2WWX6c9//rOGDh3qc6y4uDhlZmYqKyur0jmVtYmOjg7gGcC0qpwzVcE507B57mCWlZVVYRDzPEc4B+AP7ykI9vML50z9wKWJqBeKi4v1xBNPaMCAAfabWExMjObPn68DBw74DWGS1K5dO0mlb1SWZfltZ1mWTp8+Lal0JzQ0XJwzDVvZ319SpR+Cyv7+ktShQ4damxMubbynNFxV/fzCOVM/EMRw0XrttddkWZbPH8+VDcuy5HQ6NXv2bBUVFcnhcOihhx7SoUOHNHXqVDVu3LjC45T91+3z589XuLXrgQMH7JsvJiYmVv8JosYFes5UF+dMw+a5IrZr1y6/7UpKSrR7925Jpf9lu2nTprU+N1yaeE9pmKrz+YVzpn4giOGSN3v2bL388suSpNjYWP373/9WSkpKwNtE9+/f3y6/++67ftt51g0ePLhqk0W9wDnTsAX699++fbu9xTR/f1SE95SGqTqfXzhn6geCGC5pZ8+e1dy5cyVJLVu21CeffBL0G01SUpIcDockaeXKlT6X+C3L0jvvvCNJcjgcGjlyZDVnjksZ50zD1r17d3Xv3l2S9PHHH3tdfuip7O8vSaNHjzYyN1yaeE9peKr7+YVzpn4giOGStmzZMvu+GE8//bS6dOkS9Bjt27fXuHHjJEmffvqp/vKXv5Rr8/LLL2vLli2SpHvuucfr0iQ0PJwzmDp1qiSpoKBAkyZNUklJiVf9zp079fzzz0uSOnfurOTkZMMzxKWE95SGp7qfXzhn6geHVdE3/ICL3E9/+lP7jvNLlixR27ZtA+o3cOBAr7vRHzlyRP369bO/eD9+/HgNHTpUJSUlWrt2rZYtWyap9KaI27dvV0JCQg0/E9S1I0eOqHPnzpIC22GRc6ZhKyws1HXXXaetW7dKkq6//nrdd999atasmbZu3aoXX3xR33//vRwOh1avXq2kpKQ6njHqQjDvK7ynNCw18fmFc6YesIBL2JAhQyxJQf9s2LCh3Fj/+te/rDZt2vjt07ZtW+s///mP+ScJI7766iv7bz1jxoyA+nDONGzHjx+3+vTp4/fv36hRI+ull16q62miDgX7vsJ7SsNRU59fOGcubVyaiEua2+2usbGuu+467d69W48++qgSExMVFRWl6Oho9ezZU4899pj27NmjQYMG1djxcOnjnGnY2rVrpy1btuiFF17QoEGDFBMTo/DwcHXq1Em/+MUvtH37dj3wwAN1PU1cQnhPaThq6vML58yljUsTAQAAAMAwVsQAAAAAwDCCGAAAAAAYRhADAAAAAMMIYgAAAABgGEEMAAAAAAwjiAEAAACAYQQxAAAAADCMIAYAAAAAhhHEAAAAAMAwghgAAAAAGEYQAwAAAADDCGIAAACo1I033iiHwxHQT0REhDp06KCf/OQn+sMf/qCsrKy6nj4uMp06dbLPlyNHjhg/5syZM2tkzJkzZ1Z5TIIYAAAAatT58+eVmZmpDz/8UL/97W+VkJCgxYsX1/W0gItKWF1PAAAAAJeW6OhoxcbG+qwrLi7WsWPHVFxcbP/u+++/14QJE5STk6OHHnrI1DSD0qlTJ3399deSpK+++kqdOnWq2wmh3mNFDAAAAEEZM2aMDh486PPnq6++0rlz57Rr1y7dcccdXv2mTZum/fv319GsgYsLQQwAAAA1Kjw8XFdeeaVWrFihuXPn2r8vKirSH//4xzqcGXDxIIgBAACg1kydOlVXX321/Xjt2rWyLKvuJgRcJAhiAAAAqDVhYWFKTk62H7vdbh07dqzuJgRcJNisAwAAALUqMTHR6/GpU6d02WWX+W3/7bffat++ffrmm2907NgxNW7cWB06dFD79u3Vt29fRUREVGkeOTk5Wrt2rb766islJiZq1KhRVRqnjGVZ2rNnj3bs2CG3262wsDDFxsbqmmuuUZcuXao19t69e7Vjxw5lZGQoLi5O3bp109VXX63IyMhqjVuRb7/9Vhs3btTXX3+t0NBQxcfHa8iQIWrVqlVQ4xQUFOif//ynDh06pDNnzqh9+/bq16+fevXqVaV5lZSU6D//+Y/S09OVlZWl9u3ba/DgweratWuVxguUZVlKT0/XZ599puPHj6t58+bq0qWLhgwZovDw8Bo5AAAAAFChG264wZJkSbLGjx8fVN8VK1bYfSVZmzdv9tkuPT3dSkpKskJDQ73ae/60bdvWeuKJJ6xvv/3W7/EWL15st1+8eLFlWZb1zjvvWK1bt7Z/P2rUKK92/n42bNhQbvzi4mLrr3/9q3X55Zf77XfllVda7777rlVSUhLQPF966SXLsizr4MGD1o033uhzzPj4eGvJkiUVjhmIhIQES5KVkJBgWZZlZWdnWz//+c+t8PDwcscMDQ21xo0bZ33zzTeVjnvu3DlrxowZVrNmzXzOv2/fvtbWrVu95iDJ+uqrr3yOV1JSYi1ZssTq0KGDz/GGDx9uHT9+3LIsy+rZs6f9+8LCwgqftyRrxowZFT6XdevWWb169fJ53JiYGGvevHlWcXGxNWPGjIDHvBCXJgIAAKBWpaenez1u27ZtuTaffPKJBgwYoHfffddr6/sLnTx5Uk899ZQGDRoU8I2i33jjDY0dO1bffvttcBP3oaCgQOPGjdP//M//6PDhw37bpaWlKSkpSVOmTFFJSUlAY2/fvl3XXHONNm7c6LP+m2++0fjx4/WnP/2pKlP36fjx4xowYIAWLVqk8+fPl6svLi7Wm2++qSuvvFI7duzwO05WVpZ+9KMfadasWTp79qzPNjt27NCgQYO0atWqSudVUlKin//85xo/frwyMjJ8tlm7dq369u2rgwcPVjpeoCzL0lNPPaXbbrtNe/bs8dkmKytLDz/8sMaNGxfw39YXLk0EAABArSkqKvL64N2qVaty9+gqKCjQz372M+Xm5tq/u+GGGzRkyBDFxcXp3LlzOnz4sFasWCG32y1J+vLLLzVnzpxKd2FMS0vTSy+9pJKSEnXo0EGDBg1S165ddcMNNyg3N9e+hPDIkSN2ALzsssvUqFEjSSp3KeDEiRP19ttv24/btGmju+66Sz179lRRUZE+//xzvf3223YYSUlJUcuWLTVjxowK55mdnW2HxXbt2umWW25R//79dfbsWW3YsEGpqal220ceeUTDhw+v9qV5hYWFuuOOO/TFF19IkgYOHKhRo0apbdu2OnbsmN555x07jGRlZemWW27R3r171a5dO69xiouLNWrUKG3fvt3+XWxsrMaNG6cePXro3Llz+uc//2mH7HvuuUcOh6PCuT3++ONeNwGPj4/XT3/6U/3gBz/Q2bNn9eGHH+qDDz7Q8ePHNWrUKJ07d65ar0WZV155RU8++aT9ODQ0VCNHjtSPfvQjNWnSRPv27dPy5ct18uRJvf322z7/o0LAglo/AwAAQINU1UsT586d63VZ1/3331+uzZo1a+x6h8NhrVixwudYBQUF1vDhw+22AwcO9NnO1yWHM2fOtAoKCvzOM5BL5datW+c1ZnJysnXmzJly7Y4fP25dd911druwsDBrz549Fc6zRYsWliTr1ltvtb777juvdiUlJdYrr7zideyFCxf6fS6V8XyuZa/5iy++WO6Sx+LiYmvevHlebe++++5y4y1YsMCrzV133WWdPXu2XLvNmzd7XR7q7/XeuXOn1+WpP/vZz6zc3Nxy461du9Zq3LhxufGqemliZmam1bRpU7tNhw4drB07dpRrd/r0aa/zsKIxK8KliQAAAKhR58+f1549e3TXXXfpt7/9rf37Ro0aeT0us3XrVrs8ZsyYcjeCLhMeHu61Avb5558HNJ8HHnhAM2bMqPYGC/PmzbPLPXr00FtvvaXmzZuXa9euXTutXbvW3uSiqKhIL7zwQoVjnzlzRr1799batWsVExPjVedwOPTzn/9ct956q/27nTt3VuepeJk+fbr+7//+r9wqVUhIiKZNm6Zp06bZv3vzzTe9LhUsKSnR/Pnz7ccDBgzQ0qVL1bRp03LHueaaa/TWW29VOp958+bZq5N9+vTR4sWL1aRJk3Lthg0bpmeffbbyJxigv/zlL8rJyZFU+pqvWbNGffr0KdeuRYsW+tvf/qYf/OAH1ToeQQwAAABBWblypbp27erzp3PnzoqKilLv3r21YsUKr37z589X9+7dy43Xq1cvOZ1OOZ1O/d///V+Fx77iiivssq/vNPkyffr0gNpV5Pjx4/roo4/sx48++miFwa5Zs2Z66KGH7MdvvPFGhd99k6Snn35aoaGhfutvuOEGu+x5GWd1NGnSRFOnTq2wzW9/+1v7Es2SkhItX77crtu8ebO++uor+/HMmTMVFub/20833XSTBg8e7Lc+JydHf/vb3+zH/+///b8KX5P77rtPrVu3rnD+gVq6dKldHjt2rNf97y7UuHFjPfLII9U6HkEMAAAAQfn+++916NAhnz9HjhxRUVGRV/vGjRvrpZde0qRJk3yOd8cdd2jBggVasGCBbrrppgqP/fXXXwc1106dOlW4VX6gtmzZYpfbtGmjcePGVdrH6XTa5ZycHO3bt89v2+bNm2vEiBEVjnfhd7Nqwv/8z/9Uuj19mzZtNH78ePvx5s2b7fInn3xil3v06KGhQ4dWesxf//rXfuu2bt2qgoICSaWbutx+++0VjhUZGan777+/0mNW5uTJk16bfniuAvrzs5/9TC1btqzyMQliAAAAqHFNmzZV79699Zvf/EZffPGFHnjggWqN9+233+of//iHxowZE1S/Dh06VOu4ZdLS0uxy9+7dK1z1KdOqVSvFxcXZj3ft2uW37Q9+8INKN7CorL4q+vXrF1A7z9Uhz+exd+9eu3zVVVcFNEdfl/uV8dzwI9DXuWfPnpW2qYzn85CkK6+8stI+jRs3LnePvGCwayIAAACCMn78eL322mu1Mvb333+vDRs2KC0tTV9++aX9c+rUqSqN5xmEquP06dN2+cJdHyuSkJCg48ePS1KF2+1ffvnlVZ5bdQT6XDp37myXPW8D4PmcAn0OHTt2lMPhkGVZ5epOnjxplxMSEgIer7o8n0f79u0DvnF2p06dvFYFg0EQAwAAQJ375ptv9Nhjj+nNN9/0+d2vkJAQXXHFFUpKStLcuXMDHjcqKqpG5vf999/b5djY2ID7tW/f3i5nZ2f7bRfoB/+aFuiKYXx8vF3Ozs6WZVlyOBzKy8uzfx9o6I2IiFCbNm28QleZM2fO2OVAX+eaCNtVeR5S9VZcCWIAAACoU3v27NENN9xgr0o0btxYt9xyi/r166errrpK3bp1U5cuXRQRESFJQQWxmhIdHW2Xy+5lFgjPlbyaCoU16bvvvguonWdoatKkiX0JYrNmzezfl638VaaoqMjvcT13Rwx0FTTQ51CRqjwPST7DZKAIYgAAAKgzJSUluuOOO+wQdt9992nevHmVbiBhmuemDMFsGHL48GG7fOG29BeDI0eO6Lrrrqu03aFDh+yy5/Pw/Dt5PteKfPPNN353kPQc++jRowGNF2i7ing+j8zMTOXl5QW0Sum5Y2Sw2KwDAAAAdSY1NVX79++XJHXp0kWvvPJKhSHMc2c7k3r37m2XDxw4UG5nSF/OnDmjzMxM+3GvXr1qZW7VUfbaV8ZzsxLP53HhJh6+vvd1oQs3xvB04etc2Zb/kvTFF19U2qYyvXv39tpoZPfu3ZX2KSoqCvj184UgBgAAgDqTnp5ulxMTEyu8Z5Qk/eMf/6jtKfk0aNAgu3zy5Mly90jzZcGCBXYwadKkSUA78Zm2aNEir+9H+fLdd9/p1VdftR973gfM83XZt2+f3nvvvUqP+ac//clv3bXXXmuXjx8/rtWrV1c4VmFhodfcqqpZs2ZeAdPzxuH+vP3220FdpnohghgAAADqTEjIfz+O7t69u8KVpo8++kiPPvqo1+8KCwtrfE4lJSXlfhcXF+d1j7NnnnmmwmOfOXNGzz33nP143LhxatSoUc1OtAacOHFCCxcurLDN73//e3uzEofDobvvvtuu69Onj3r06GE/njlzZoV/w08//VTr16/3W9+uXTvdeuutXsf29fcos3z5ch07dqzC+Qfq3nvvtct/+9vftHPnTr9tCwsLNWfOnGodjyAGAACAOuN5aduRI0d07733en3XqKCgQNu2bdN9992noUOH2jf7LbNkyZIKP6hXhef3oTw9/PDDdnnv3r265557lJOTU67d8ePHNXz4cPt7b6GhoZoyZUqNzrEm/eY3v9Hf//73cr8vKSnR/PnzNW/ePPt3o0ePVpcuXezHDofD6+bH27Zt0z333KOzZ8+WG2/Xrl2V3qBZkh555BG7/Nlnn+l///d/lZ+fX67dxo0bvW6aXV3333+/WrRoYT8eMWKE133Nynz//ff62c9+FtDlixVhsw4AAADUmT59+iguLs7eqe6tt97SW2+9pebNmysqKkrHjx/3+t7Rddddp7y8PPsD8i9/+Uv99re/1dKlSzV06NAqz6NVq1b2JhyjR49W//79lZeXpz/96U/64Q9/KEkaOnSoxo8fryVLlkgqvTTtn//8p4YMGaL+/fvr/Pnz2rp1q1JTU70C2owZMy7K74dJpZfknT17Vrfffrt++MMf6tprr9UVV1yhjIwMrVy5Unv27LHbtmjRQi+88EK5Me6//34tW7ZMGzZskCStWLFCGzdu1Lhx45SYmKjz58/rk08+0cqVK1VUVKTIyEgNGjRIqampPuf04x//WBMmTLAvOVy0aJE++OAD+3V2u93avHmzNm7cKMuy9JOf/ERfffWVvvzySzkcjkovb/WnTZs2eu6553T//fdLKt20Y+DAgRo5cqSuv/56RUdH68svv9Qbb7yhjIwMSVJSUpLefffdKh2PIAYAAIA6ExUVpaVLl+rmm2/2ClzZ2dnl7rt100036e9//7tSU1M1evRo+/dZWVnlVsqCNWbMGO3YsUOSlJubq3/+85+SVO77Uy+//LJycnL0zjvvSCr9vlhZePRl2rRpeuyxx6o1t9q0YsUKjR8/Xm63W59++qk+/fRTn+1atGih9evXe90XrUxISIhWrlypn/zkJ9q2bZuk0tfF13fBwsLC9Ne//lVbtmzxG8Qk6cUXX5Tb7dbatWslle60+Prrr+v111/3anfDDTdo5cqV6tOnj6TS88lz041g3XfffcrIyNDjjz8uqXRVcNWqVVq1alW5tmPGjNETTzxR5SDGpYkAAACoUzfddJNSU1PVr18/n/Xx8fFasGCBPvzwQzVr1kzJycl6/fXX9YMf/EBNmzbVoEGDqnVjXUn67W9/qz/+8Y/q0aOHIiMjFRMToyuvvNLrUjWp9GbEK1as0OLFi9WpUye/41111VVas2aN5s2b5/U9uItN9+7dtXPnTo0ZM8ZngAkJCdEdd9yhXbt2acCAAX7HadmypTZt2qQZM2Z43ZPLU69evfSvf/1LY8eOrXReERERWrVqlebNm1fubyCV3gD70Ucf1YcffqioqCh98803kmrmXm2PPfaY1q1b53cVs1mzZpozZ45WrFhR5dU3SXJYgewxCQAAANSykpISpaWl6csvv9RXX32lZs2aqUePHrruuuuq9YG3tliWpbS0NO3YsUMnT55UaGioYmNjNWjQIHXt2rWup+dXp06d7Mswv/rqKztQZmZmKjU1VZmZmQoNDVXHjh110003qXXr1kGNX1BQoE2bNungwYM6ffq02rRpo6uvvlr9+/ev0mpVQUGBPv74Y3355ZcqKChQQkKCfvKTn9j3djt16pTatm0rSRo4cKDfVb1gWZalffv2aevWrTpx4oQiIyPVqVMn3XLLLV43nq4qghgAAADQgPgLYpeqzZs321vq/+xnP9Nf//rXOp5RYC7edVIAAAAADYplWRo8eLC6du2qrl27ateuXZX28bynW0WXT15sCGIAAAAALgoOh0NdunTRoUOHdOjQoUrvcbZ//3699NJL9mPPTVwudgQxAAAAABeN5ORku+xyuTR79mydO3fOq41lWfrggw9000032Ttm3n777YqPjzc51WrhO2IAAABAA3Kxf0fMsiyNGjXKa1v4Fi1aaODAgWrTpo2++eYb7d27V99++61dHxMTox07dighIaEuplwlBDEAAACgAbnYg5gk5efn6ze/+Y1efvllnT9/vsK2l19+uVavXn3R3jTbH4IYAAAA0IBcCkGszLFjx5SSkqJdu3bp8OHDOnbsmBo3bqxWrVqpf//+Gj58uO655x41atSorqcaNIIYAAAAABjGZh0AAAAAYBhBDAAAAAAMI4gBAAAAgGEEMQAAAAAwjCAGAAAAAIYRxAAAAADAMIIYAAAAABhGEAMAAAAAw/4/z8JrsZudlkUAAAAASUVORK5CYII=\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -280,7 +341,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 23, "id": "66d94939-32da-4be2-a86d-4ea4e602a1bd", "metadata": {}, "outputs": [ @@ -296,7 +357,7 @@ " 'Parton_phi': column_accumulator(array([ 0.3868103 , -0.48553467, 2.06066895, ..., -2.89904785,\n", " -2.2890625 , 2.078125 ])),\n", " 'Parton_pdgId': column_accumulator(array([ 2., 5., -5., ..., 2., 5., -5.])),\n", - " 'Parton_provenance': column_accumulator(array([4., 3., 2., ..., 2., 1., 1.])),\n", + " 'Parton_provenance': column_accumulator(array([4., 3., 2., ..., 5., 1., 1.])),\n", " 'PartonMatched_N': column_accumulator(array([5, 6, 4, ..., 5, 6, 5])),\n", " 'PartonMatched_pt': column_accumulator(array([ 78.609375 , 73.28515625, -999. , ..., 128.984375 ,\n", " 58.27539062, -999. ])),\n", @@ -329,10 +390,17 @@ " 'JetGoodMatched_btagDeepFlavB': column_accumulator(array([ 9.95117188e-01, 7.32421875e-01, -9.99000000e+02, ...,\n", " 7.72094727e-02, 9.95605469e-01, -9.99000000e+02])),\n", " 'JetGoodMatched_dRMatchedJet': column_accumulator(array([ 1.95373401e-01, 7.41545781e-02, -9.99000000e+02, ...,\n", - " 5.29277585e-02, 2.90864091e-02, -9.99000000e+02]))}}}" + " 5.29277585e-02, 2.90864091e-02, -9.99000000e+02])),\n", + " 'LeptonGood_N': column_accumulator(array([1, 1, 1, ..., 1, 1, 1])),\n", + " 'LeptonGood_pt': column_accumulator(array([53.691837, 96.12626 , 93.13305 , ..., 61.801174, 66.78314 ,\n", + " 44.618595], dtype=float32)),\n", + " 'LeptonGood_eta': column_accumulator(array([ 1.6652832 , 1.1428223 , -1.0939941 , ..., -0.25378418,\n", + " 0.14273071, 1.2160645 ], dtype=float32)),\n", + " 'LeptonGood_phi': column_accumulator(array([ 2.4091797 , -2.4541016 , 0.70910645, ..., 1.748291 ,\n", + " 1.3933105 , 1.5192871 ], dtype=float32))}}}" ] }, - "execution_count": 31, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -344,7 +412,39 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 10, + "id": "8023309c-838a-47b8-a877-ae02236b6245", + "metadata": {}, + "outputs": [], + "source": [ + "C = cols['ttHTobb'][\"semilep_LHE\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "36fc3dad-fff1-43f4-bd7a-0f2f6a55d1e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.6652832 , 1.1428223 , -1.0939941 , ..., 0.46392822,\n", + " -0.47827148, -1.3232422 ], dtype=float32)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "C[\"LeptonGood_eta\"].value" + ] + }, + { + "cell_type": "code", + "execution_count": 25, "id": "f41a626d-0640-450d-9a36-9cc7448b7b21", "metadata": {}, "outputs": [ @@ -354,7 +454,7 @@ "column_accumulator(array([7, 7, 7, ..., 7, 7, 7]))" ] }, - "execution_count": 32, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -384,7 +484,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 32, "id": "40db3376-ffef-4269-97a9-bf7bcb0c28bf", "metadata": {}, "outputs": [], @@ -435,7 +535,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 33, "id": "502ba9a1-e20c-43b7-8981-52e75af0ef2c", "metadata": {}, "outputs": [], @@ -449,6 +549,26 @@ "jets = ak.with_field(jets, ak.fill_none(jets_matched.prov, -1), \"prov\")" ] }, + { + "cell_type": "markdown", + "id": "c7d22cd7-2501-4d1a-baf3-944b20491ff8", + "metadata": {}, + "source": [ + "### Saving raw collection to disk" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "7a91057f-e154-4c26-9922-040dd2c5b141", + "metadata": {}, + "outputs": [], + "source": [ + "df = ak.zip({\"jets\": jets,\n", + " \"partons_matched\": partons},depth_limit=1)\n", + "ak.to_parquet(df, \"all_jets_v1.parquet\")" + ] + }, { "cell_type": "markdown", "id": "b2562d2f-a792-4879-8813-a5905a1983a5", @@ -459,7 +579,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "id": "72f34084-ab6a-44b1-a8db-561913a0c990", "metadata": {}, "outputs": [], @@ -614,7 +734,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 11, "id": "ca0d9771-6053-4e6c-bd83-bb291a170538", "metadata": {}, "outputs": [ @@ -624,13 +744,13 @@ "Text(1, 0, 'N. jets fully matched events')" ] }, - "execution_count": 9, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -726,7 +846,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "db2eac27-bb4d-4675-b8de-beec4a6e2794", "metadata": {}, "outputs": [ @@ -736,7 +856,7 @@ "[[3, 5, 1, 4], [4, 3, 2, 5], [1, 3, 4, 0], [4, 0, 3, 2]]" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -767,7 +887,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "bbea24ac-c4db-4906-9331-db8e116745ab", "metadata": {}, "outputs": [], @@ -784,7 +904,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 14, "id": "6fb9e1b9-fd50-42be-bf40-d54e8eb77ba9", "metadata": {}, "outputs": [], @@ -811,7 +931,7 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 15, "id": "6726f991-9bb1-4c5f-bedd-3a444a0e3af7", "metadata": {}, "outputs": [], @@ -980,7 +1100,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 16, "id": "caa4833c-bd34-4fb3-b664-ebb01cee8ed6", "metadata": {}, "outputs": [], @@ -1028,7 +1148,7 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 21, "id": "1221e81d-da57-4202-bd6c-4c80ccb4d65b", "metadata": { "tags": [] @@ -1036,8 +1156,8 @@ "outputs": [], "source": [ "@njit\n", - "def get_jets_combinations(jets, provenance, indices, builder):\n", - " for J, prov, ind_list in zip(jets, provenance, indices):\n", + "def get_jets_combinations(jets, provenance, btags, indices, builder):\n", + " for J, prov, btag, ind_list in zip(jets, provenance, btags, indices):\n", " builder.begin_list()\n", " for ix in ind_list:\n", " # multiple combinations for each event\n", @@ -1050,6 +1170,7 @@ " builder.field(\"phi\").append(jet.phi)\n", " builder.field(\"mass\").append(jet.mass)\n", " builder.field(\"prov\").append(prov[i])\n", + " builder.field(\"btag\").append(btag[i])\n", " builder.end_record()\n", " builder.end_list()\n", " builder.end_list()\n", @@ -1058,7 +1179,7 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 22, "id": "b88593df-f596-4cf5-99c0-5b0d4891ad42", "metadata": {}, "outputs": [ @@ -1066,29 +1187,29 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 412 ms, sys: 16.8 ms, total: 429 ms\n", - "Wall time: 427 ms\n" + "CPU times: user 706 ms, sys: 5.87 ms, total: 712 ms\n", + "Wall time: 710 ms\n" ] }, { "data": { "text/plain": [ - "<ArrayBuilder [[[{pt: 102, eta: 1.12, ... prov: -1}]]] type='10 * var * var * {\"...'>" + "<ArrayBuilder [[[{pt: 102, ... btag: 0.00616}]]] type='10 * var * var * {\"pt\": f...'>" ] }, - "execution_count": 110, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%time\n", - "get_jets_combinations(jets_fullymatched[0:10],jets_fullymatched.prov[0:10], comb_index[0:10], ak.ArrayBuilder())" + "get_jets_combinations(jets_fullymatched[0:10],jets_fullymatched.prov[0:10], jets_fullymatched.btag[0:10], comb_index[0:10], ak.ArrayBuilder())" ] }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 23, "id": "36b2ae5c-a610-443d-9f21-5a262df0e93b", "metadata": {}, "outputs": [], @@ -1096,13 +1217,14 @@ "jets_combinations = ak.with_name(get_jets_combinations(\n", " jets_fullymatched,\n", " jets_fullymatched.prov, \n", + " jets_fullymatched.btag, \n", " comb_index, \n", " ak.ArrayBuilder()).snapshot(), name=\"Momentum4D\")" ] }, { "cell_type": "code", - "execution_count": 163, + "execution_count": 24, "id": "0a111683-6a36-4da5-8277-83e97fa69e44", "metadata": {}, "outputs": [], @@ -1126,7 +1248,7 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 25, "id": "f4c90ebe-ad74-4224-9a0b-eede9e8d7302", "metadata": {}, "outputs": [], @@ -1136,7 +1258,7 @@ }, { "cell_type": "code", - "execution_count": 115, + "execution_count": 26, "id": "04f1c3d0-af8d-4b6b-89fd-3561819698c0", "metadata": {}, "outputs": [ @@ -1157,7 +1279,7 @@ " [1.0, 2.0, 1.0, 3.0, 2.0, 2.0]]" ] }, - "execution_count": 115, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -1168,7 +1290,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 27, "id": "1b3ce506-4bec-4d18-8395-a0934a74dd7e", "metadata": {}, "outputs": [], @@ -1179,7 +1301,7 @@ }, { "cell_type": "code", - "execution_count": 167, + "execution_count": 28, "id": "ba6e38bf-c8dd-4c00-9f66-2f74f803745f", "metadata": {}, "outputs": [], @@ -1189,7 +1311,7 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 29, "id": "3f35a222-7f0e-4b62-8fc8-10e729346dac", "metadata": {}, "outputs": [ @@ -1199,7 +1321,7 @@ "0.7875390417820732" ] }, - "execution_count": 117, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -1211,7 +1333,7 @@ }, { "cell_type": "code", - "execution_count": 122, + "execution_count": 30, "id": "45ec8fa0-0acd-453c-a819-9cbe1e5b7122", "metadata": {}, "outputs": [ @@ -1224,13 +1346,13 @@ " <BarContainer object of 10 artists>)" ] }, - "execution_count": 122, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -1245,17 +1367,17 @@ }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 33, "id": "a162bc00-036d-4d8a-befd-2cd025cddd16", "metadata": {}, "outputs": [], "source": [ - "whad = Whad_jets[:,:,0]+Whad_jets[:,:,1]" + "whad = whad_jets[:,:,0]+whad_jets[:,:,1]" ] }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 34, "id": "6d254550-212e-40f5-b698-0bf524975e39", "metadata": {}, "outputs": [ @@ -1265,13 +1387,13 @@ "(0.0, 0.04)" ] }, - "execution_count": 144, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "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\n", + "image/png": "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\n", "text/plain": [ "<Figure size 1000x1000 with 1 Axes>" ] @@ -1296,7 +1418,7 @@ }, { "cell_type": "code", - "execution_count": 164, + "execution_count": 35, "id": "31090826-ff6a-49cc-9f51-ce92cc3b43de", "metadata": {}, "outputs": [], @@ -1313,12 +1435,12 @@ }, { "cell_type": "code", - "execution_count": 165, + "execution_count": 36, "id": "02ccf193-43fd-4a5b-a4f8-4de617aba475", "metadata": {}, "outputs": [], "source": [ - "ak.to_parquet(df, \"jets_combinations_ttHbb_fullymatched_v1.parquet\")" + "ak.to_parquet(df, \"jets_combinations_ttHbb_fullymatched_v2.parquet\")" ] }, { @@ -1387,7 +1509,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.9.15" } }, "nbformat": 4, -- GitLab From 67919f6f81457cf042081d39d9ae528deb7eb1fe Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 31 Jan 2023 14:04:50 +0100 Subject: [PATCH 2/6] updates for parton matching studies --- .../{config.py => parton_matching_config.py} | 18 +++++- .../JetTagging/JetTagging_initial_debug.ipynb | 58 +++++++++++++++++-- pocket_coffea/lib/categorization.py | 3 + pocket_coffea/lib/parton_provenance.py | 33 +++++++---- pocket_coffea/workflows/parton_matching.py | 4 +- 5 files changed, 97 insertions(+), 19 deletions(-) rename config/parton_matching/{config.py => parton_matching_config.py} (93%) diff --git a/config/parton_matching/config.py b/config/parton_matching/parton_matching_config.py similarity index 93% rename from config/parton_matching/config.py rename to config/parton_matching/parton_matching_config.py index d8671d1d..497bee96 100644 --- a/config/parton_matching/config.py +++ b/config/parton_matching/parton_matching_config.py @@ -9,17 +9,25 @@ from pocket_coffea.lib.cut_definition import Cut from pocket_coffea.lib.columns_manager import ColOut from pocket_coffea.workflows.parton_matching import PartonMatchingProcessor from pocket_coffea.parameters.histograms import * -from config.parton_matching.functions import * + +import sys, os +sys.path.append(os.path.dirname(__file__)) +from functions import * cfg = { "dataset": { "jsons": ["datasets/signal_ttHTobb_local.json"], - "filter": {"samples": ["ttHTobb"], "samples_exclude": [], "year": ["2018"]}, + "filter": { + "samples": ["ttHTobb"], + "samples_exclude": [], + "year": ["2018"] + }, }, # Input and output files "workflow": PartonMatchingProcessor, "output": "output/parton_matching_dR03_training_dataset", + "workflow_extra_options": {"parton_jet_min_dR": 0.3}, "run_options": { "executor": "dask/slurm", @@ -45,7 +53,8 @@ cfg = { get_nBtag(3, 15.0, "Jet"), ], "preselections": [semileptonic_presel], - "categories": {"baseline": [passthrough], "semilep_LHE": [semilep_lhe]}, + "categories": {"baseline": [passthrough], + "semilep_LHE": [semilep_lhe]}, "weights": { "common": { "inclusive": [ @@ -215,6 +224,9 @@ cfg = { "dRMatchedJet", ], ), + ColOut("LeptonGood", + ["pt","eta","phi"], + pos_end=1) ] } } diff --git a/notebooks/JetTagging/JetTagging_initial_debug.ipynb b/notebooks/JetTagging/JetTagging_initial_debug.ipynb index 19b27d50..7c882bc9 100644 --- a/notebooks/JetTagging/JetTagging_initial_debug.ipynb +++ b/notebooks/JetTagging/JetTagging_initial_debug.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 26, + "execution_count": 1, "id": "f2cc1f59-99fc-4223-8803-27ea03eab1db", "metadata": {}, "outputs": [], @@ -237,7 +237,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 6, "id": "b33a6da0-dff4-4124-8cb1-6e5408253edc", "metadata": {}, "outputs": [], @@ -250,7 +250,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 3, "id": "6189cc8d-6160-4a89-8935-dacaab4aa86d", "metadata": {}, "outputs": [], @@ -260,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 4, "id": "4949b15e-f074-4f5a-8a2e-0eca88a088af", "metadata": {}, "outputs": [], @@ -289,6 +289,54 @@ " # matched_quarks, matched_jets, deltaR_matched = object_matching(quarks, self.events.JetGood, dr_min=self.dr_min)" ] }, + { + "cell_type": "code", + "execution_count": 8, + "id": "faad935e-d2c5-403b-9cf0-5a357d629497", + "metadata": {}, + "outputs": [], + "source": [ + "isOutgoing = events.LHEPart.status == 1\n", + "isParton = (abs(events.LHEPart.pdgId) < 6) | \\\n", + " (events.LHEPart.pdgId == 21) \n", + "\n", + "leptons = events.LHEPart[isOutgoing & (~isParton) & (events.LHEPart.pdgId!=25)]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "b6055d2f-4670-4314-bee4-d85d8511687e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([22845., 0., 0., 0., 0., 21973., 0., 0.,\n", + " 0., 5182.]),\n", + " array([0. , 0.4, 0.8, 1.2, 1.6, 2. , 2.4, 2.8, 3.2, 3.6, 4. ]),\n", + " <BarContainer object of 10 artists>)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 1000x1000 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(ak.num(leptons, axis=1))" + ] + }, { "cell_type": "markdown", "id": "a679241f-3342-4f30-8765-4ee209f1f390", @@ -1457,7 +1505,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.9.15" } }, "nbformat": 4, diff --git a/pocket_coffea/lib/categorization.py b/pocket_coffea/lib/categorization.py index e6adfa90..7badc87a 100644 --- a/pocket_coffea/lib/categorization.py +++ b/pocket_coffea/lib/categorization.py @@ -335,6 +335,9 @@ class CartesianSelection: Common categories to be applied outside of the cartesian product can be defined with a StandardSelection object. + The Cuts can be on events or on collections (dim=2). + The StandardSelection is independent from the MultiCut cartesian product. + If one of the multicut is dim=2, all the cartesian product will be multidimensional. """ def __init__( diff --git a/pocket_coffea/lib/parton_provenance.py b/pocket_coffea/lib/parton_provenance.py index ae42da44..24ab2dee 100644 --- a/pocket_coffea/lib/parton_provenance.py +++ b/pocket_coffea/lib/parton_provenance.py @@ -3,6 +3,13 @@ from numba import njit @njit def get_partons_provenance_ttHbb(pdgIds, array_builder): + """ + 1=higgs, + 2=hadronic top bquark, + 3=leptonic top bquark, + 4=additional radiation + 5=hadronic W (from top) decay quarks + """ for ids in pdgIds: from_part = [-1] * len(ids) if len(ids) == 7: @@ -12,8 +19,12 @@ def get_partons_provenance_ttHbb(pdgIds, array_builder): else: offset = 0 # From part == - # 1=higgs, 2=hadronic top, 3=leptonic top, 4=additional radiation - + """ + 1=higgs, + 2=hadronic top bquark, + 3=leptonic top b, + 4=additional radiation + """ if len(ids) in [6, 7]: top = [] antitop = [] @@ -52,15 +63,17 @@ def get_partons_provenance_ttHbb(pdgIds, array_builder): hadr_top = 1 if hadr_top == -1: - for i in antitop: - from_part[i] = 2 - for i in top: - from_part[i] = 3 + # The antitop has decayed hadronically + from_part[antitop[0]] = 2 + from_part[antitop[1]] = 5 + from_part[antitop[2]] = 5 + from_part[top[0]] = 3 if hadr_top == 1: - for i in antitop: - from_part[i] = 3 - for i in top: - from_part[i] = 2 + # The top has decayed hadronically + from_part[top[0]] = 2 + from_part[top[1]] = 5 + from_part[top[2]] = 5 + from_part[antitop[0]] = 3 # The higgs is at the bottom from_part[4 + offset] = 1 diff --git a/pocket_coffea/workflows/parton_matching.py b/pocket_coffea/workflows/parton_matching.py index 39b607df..ea1f6745 100644 --- a/pocket_coffea/workflows/parton_matching.py +++ b/pocket_coffea/workflows/parton_matching.py @@ -70,6 +70,8 @@ class PartonMatchingProcessor(ttHbbBaseProcessor): self.events.PartonMatched.pt, axis=1 ) # use count since we have None - def process_extra_after_presel(self) -> ak.Array: + def process_extra_after_presel(self, variation) -> ak.Array: self.do_parton_matching() self.count_partons() + + -- GitLab From 013e86b3c89806bcef8dc169631ec4becf29382a Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 31 Jan 2023 15:41:43 +0100 Subject: [PATCH 3/6] Adding jet tagging repositories --- .../Dataset_realistic_combinatorial.ipynb | 4973 +++++++++++++++++ notebooks/JetTagging/JetTagging_dataset.ipynb | 4 +- 2 files changed, 4975 insertions(+), 2 deletions(-) create mode 100644 notebooks/JetTagging/Dataset_realistic_combinatorial.ipynb diff --git a/notebooks/JetTagging/Dataset_realistic_combinatorial.ipynb b/notebooks/JetTagging/Dataset_realistic_combinatorial.ipynb new file mode 100644 index 00000000..80831ea6 --- /dev/null +++ b/notebooks/JetTagging/Dataset_realistic_combinatorial.ipynb @@ -0,0 +1,4973 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "id": "9d0e49db-5900-4fab-82da-b00d4314d357", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/work/dvalsecc/miniconda3/envs/coffea4/lib/python3.10/site-packages/tqdm/auto.py:22: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + " from .autonotebook import tqdm as notebook_tqdm\n" + ] + }, + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'torchmetrics'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [9], line 24\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mtorch\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mnn\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m functional \u001b[38;5;28;01mas\u001b[39;00m F\n\u001b[1;32m 23\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mtorch\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01moptim\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mlr_scheduler\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m ExponentialLR\n\u001b[0;32m---> 24\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mtorchmetrics\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mclassification\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m BinaryROC\n\u001b[1;32m 25\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mpprint\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m pprint \n\u001b[1;32m 26\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mcsv\u001b[39;00m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'torchmetrics'" + ] + } + ], + "source": [ + "import sys\n", + "import numba\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.colors import LogNorm\n", + "import mplhep as hep\n", + "from coffea.util import load\n", + "import numpy as np\n", + "import pandas as pd\n", + "import awkward as ak\n", + "import vector\n", + "vector.register_numba()\n", + "vector.register_awkward()\n", + "from coffea.nanoevents import NanoEventsFactory, NanoAODSchema\n", + "import random\n", + "import itertools\n", + "import seaborn as sns\n", + "#sns.set()\n", + "import torch\n", + "from torch.utils.data import Dataset, DataLoader\n", + "import torch.utils.data as data\n", + "from torch import nn\n", + "from torch.nn import functional as F\n", + "from torch.optim.lr_scheduler import ExponentialLR\n", + "from torchmetrics.classification import BinaryROC\n", + "from pprint import pprint \n", + "import csv\n", + "hep.style.use(hep.style.ROOT)\n", + "import tensorflow as tf\n", + "from importlib import reload\n", + "plt=reload(plt)\n", + "import hist\n", + "import numba\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.model_selection import train_test_split\n", + "import os\n", + "from ignite.contrib.metrics import ROC_AUC\n", + "from ignite.engine import *\n", + "from sklearn.metrics import roc_curve, roc_auc_score, average_precision_score\n", + "import matplotlib.backends.backend_pdf" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "b21d8b5a", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'torch' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [2], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m torch\u001b[38;5;241m.\u001b[39mcuda\u001b[38;5;241m.\u001b[39mis_available()\n", + "\u001b[0;31mNameError\u001b[0m: name 'torch' is not defined" + ] + } + ], + "source": [ + "torch.cuda.is_available()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "01f28593", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'0.51.2'" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numba.__version__" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "337a88b8-5f02-4f6a-8349-ff5a05897abe", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "/eos/home-i01/k/kshamana/tthbb/PocketCoffea/notebooks/JetTagging\n" + ] + } + ], + "source": [ + "!pwd" + ] + }, + { + "cell_type": "markdown", + "id": "9c41a459-2db5-446a-916d-dd1fdd837882", + "metadata": {}, + "source": [ + "# Loading the jets combinations dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6e814332-ea56-4f94-89b1-5cc1a471fb32", + "metadata": {}, + "outputs": [], + "source": [ + "df = ak.from_parquet(\"/eos/user/d/dvalsecc/www/ttHbb_analysis/dataset/jets_combinations_ttHbb_fullymatched_v1.parquet\")" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "df54a4af-5c9d-4a04-ba03-f8a215f7ad54", + "metadata": {}, + "outputs": [], + "source": [ + "(jets_fullymatched, # initial collections of jets, already fully matched\n", + "comb_index, # indices of jets with all the combinations for all the events\n", + "signal_comb, # mask to get the \"signal\" combination [events, True/False]\n", + "jets_combinations, # collections of jets, many different collections for each event (from comb_index)\n", + "higgs_jets, # higgs_jets (index 0, 1 of the combination)\n", + "tlep_jets, # tlep jet (index 2 of the combination)\n", + "thad_jets, # thad jets (index 3,4,5 of the combination)\n", + "whad_jets # whad_jets (index 4 5 of the combination)\n", + ") = ak.unzip(df)\n", + "\n", + "jets_combinations = ak.with_name(jets_combinations, name=\"Momentum4D\")\n", + "higgs_jets = ak.with_name(higgs_jets, name=\"Momentum4D\")\n", + "tlep_jets = ak.with_name(tlep_jets, name=\"Momentum4D\")\n", + "thad_jets = ak.with_name(thad_jets, name=\"Momentum4D\")\n", + "whad_jets = ak.with_name(whad_jets, name=\"Momentum4D\")" + ] + }, + { + "cell_type": "markdown", + "id": "391d1053-039b-4522-98b6-2f82c67344fc", + "metadata": {}, + "source": [ + "Getting only the \"signal\", the true, combination" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "ab66a86e-d641-46ba-afbd-250f372b3b9c", + "metadata": {}, + "outputs": [], + "source": [ + "jets_signal = ak.flatten(jets_combinations[signal_comb], axis=1)" + ] + }, + { + "cell_type": "markdown", + "id": "d57588a3-4178-4cde-8b2c-f06d0d18015e", + "metadata": {}, + "source": [ + "Getting the jets combinations to plot for the signal.\n", + "N.B it is needed to reorder them by pt" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "bf7f3370-3181-4eb1-9ea8-a6eda3d13a9a", + "metadata": {}, + "outputs": [], + "source": [ + "jets_2h = jets_signal[jets_signal.prov==1]\n", + "jets_2h = jets_2h[ak.argsort(jets_2h.pt,ascending=False)]\n", + "jets_3ht = jets_signal[jets_signal.prov==2]\n", + "jets_3ht = jets_3ht[ak.argsort(jets_3ht.pt, ascending=False)]\n", + "jets_1lt = jets_signal[jets_signal.prov==3]" + ] + }, + { + "cell_type": "markdown", + "id": "0a3a57a2", + "metadata": {}, + "source": [ + "## Kinematic studies" + ] + }, + { + "cell_type": "markdown", + "id": "20bff5be", + "metadata": {}, + "source": [ + "1. Histogram of the invariant mass of the Higgs boson from the two tagged jets\n", + "2. Histogram of the mass of the hadronic top from the three tagged jets\n", + "3. Histogram of the pt of the leading and subleading jets matched to the higgs" + ] + }, + { + "cell_type": "markdown", + "id": "8852c311", + "metadata": {}, + "source": [ + "## The invariant mass of the Higgs matched with 2 jets" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "id": "a8976314", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Array [137, 104, 141, ... 93.9, 167, 118] type='53455 * float64'>" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Higgs_mass=(jets_2h[:,0]+jets_2h[:,1]).mass\n", + "Higgs_mass" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "656435ec", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(Higgs_mass, bins=100, range=(0,300))\n", + "#plt.yscale(\"log\")\n", + "plt.xlabel('Higgs invariant mass from two jets')\n", + "plt.ylabel('Events')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0178b3f3", + "metadata": {}, + "source": [ + "## The mass of the hadronic top matched with 3 jets" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "295233da", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Array [171, 164, 159, 168, ... 193, 162, 161] type='53455 * float64'>" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ht_mass = (jets_3ht[:,0]+jets_3ht[:,1]+jets_3ht[:,2]).mass\n", + "ht_mass" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "id": "3822b809", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(ht_mass, bins=100, range=(0,350))\n", + "#plt.yscale(\"log\")\n", + "plt.xlabel('Hadronic top mass matched with 3 jets')\n", + "plt.ylabel('Events')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c896f0f0", + "metadata": {}, + "source": [ + "## Pt of the leading and subleading jets matched to the Higgs " + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "id": "59ab05f1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(jets_2h[:,0].pt, bins=100, range=(25,300), histtype=\"step\", label=\"leading jet\")\n", + "plt.hist(jets_2h[:,1].pt, bins=100, range=(25,300), histtype=\"step\", label= \"subleading jet \")\n", + "#plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.xlabel('Pt distributions of jets matched with Higgs')\n", + "plt.ylabel('Events')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "1601b025", + "metadata": {}, + "source": [ + "1. Plot a 2D distribution of the pts jets of the Higgs\n", + "2. Plot the eta distribution of the higgs and top quarks\n", + "3. Plot the 2D distribution comparing the leading higgs jets and leading top jets" + ] + }, + { + "cell_type": "markdown", + "id": "0adf820a", + "metadata": {}, + "source": [ + "## Eta distribution of the higgs and top quarks" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "id": "41daa580", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(53455, 53455)" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "th_eta = (jets_3ht[:,0]+jets_3ht[:,1]+jets_3ht[:,2]).eta\n", + "Higgs_eta = (jets_2h[:,0]+jets_2h[:,1]).eta\n", + "len(Higgs_eta), len(th_eta)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "0483e616", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#plt.hist(Higgs_pt,bins=100, label=\"leading jet\")\n", + "plt.hist(th_eta, bins=100, histtype=\"step\", label= \"subleading jet \")\n", + "#plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.xlabel('Eta distributions of jets matched with Higgs')\n", + "plt.ylabel('Events')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "id": "6624b57f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist2d(jets_2h[:,0].eta, jets_2h[:,1].eta, bins=100, range=np.array([[-2.4,2.4],[-2.4,2.4]]))\n", + "plt.xlabel('Eta of the leading jet')\n", + "plt.ylabel('Eta of the subleading jet')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "7f93b47a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(jets_2h[:,0].eta,bins=100, label=\"leading jet\")\n", + "plt.hist(jets_2h[:,1].eta, bins=100, histtype=\"step\", label= \"subleading jet \")\n", + "#plt.yscale(\"log\")\n", + "plt.legend()\n", + "plt.xlabel('Eta distributions of jets matched with Higgs')\n", + "plt.ylabel('Events')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "47708fe5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist2d(Higgs_eta, th_eta, bins=100, range=np.array([[-3,3],[-3,3]]))\n", + "plt.xlabel('Eta of the Higgs')\n", + "plt.ylabel('Eta of the Top ')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "c770ca9d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 640x480 with 2 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "leadingHj_eta = jets_2h[:,0].eta\n", + "leadingtj_eta = jets_3ht[:,0].eta\n", + "plt.hist2d(leadingHj_eta, leadingtj_eta, bins=100, range=np.array([[-2.4,2.4],[-2.4,2.4]]))\n", + "plt.xlabel('Pt of the leading jet')\n", + "plt.ylabel('Pt of the subleading jet')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "86969b86", + "metadata": {}, + "source": [ + "1. Get the efficiency (n events passing the requirement/total number of events), of the events having the higgs jets matched, having the higgs jets and hadronic top ones matched, having the higgs matched, the hadronic top and the leptonic top matched, and then also having the additional radiation matched\n", + "\n", + "2. Select only the events with the higgs jets, leptonic and hadronic top matched\n", + "3. Plot the deltaEta between the higgs vector and the hadronic top vector" + ] + }, + { + "cell_type": "markdown", + "id": "b1166825", + "metadata": {}, + "source": [ + "# Extracting kinematic variables and building the training dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "2211ba45", + "metadata": {}, + "outputs": [], + "source": [ + "def get_variables(jets_higgs, jets_ht, jets_lt):\n", + " hig = jets_higgs[:,0] + jets_higgs[:,1]\n", + " htop = jets_ht[:,0] + jets_ht[:,1] + jets_ht[:,2] \n", + " ltop = jets_lt[:,0] \n", + " variables = {\n", + " \"deltaEta_H_htop\" : np.abs(hig.eta - htop.eta),\n", + " \"deltaEta_htop_ltop\" : np.abs(htop.eta - ltop.eta),\n", + " \"deltaPhi_H_htop\" : hig.deltaphi(htop),\n", + " \"deltaPhi_H_ltop\" : hig.deltaphi(ltop),\n", + " \"deltaPhi_htop_ltop\" : htop.deltaphi(ltop),\n", + " \"Eta_H\" : hig.eta,\n", + " \"Phi_H\" : hig.phi,\n", + " \"Pt_H\" : hig.pt,\n", + " \"Phi_htop\" : htop.phi,\n", + " \"Pt_htop\" : htop.pt,\n", + " \"Phi_ltop\" : ltop.phi,\n", + " \"Pt_ltop\" : ltop.pt,\n", + " \"Mass_H\" : hig.mass,\n", + " \"Mass_htop\" : htop.mass,\n", + " \"deltaPhi_h1_h2\" : jets_higgs[:,0].deltaphi(jets_higgs[:,1]),\n", + " \"Eta_h1\" : jets_higgs[:,0].eta,\n", + " \"Phi_h1\" : jets_higgs[:,0].phi,\n", + " \"Pt_h1\" : jets_higgs[:,0].pt,\n", + " \"deltaEta_ht1_ht2\" : np.abs(jets_ht[:,0].eta - jets_ht[:,1].eta),\n", + " \"deltaPhi_ht1_ht2\" : jets_ht[:,0].deltaphi(jets_ht[:,1]),\n", + " \"deltaPhi_ht1_ht3\" : jets_ht[:,0].deltaphi(jets_ht[:,2]),\n", + " \"deltaPt_ht1_ht2\" : np.abs(jets_ht[:,0].pt - jets_ht[:,1].pt),\n", + " \"deltaPt_ht1_ht3\" : np.abs(jets_ht[:,0].pt - jets_ht[:,2].pt),\n", + " \"Eta_ht1\" : jets_ht[:,0].eta,\n", + " \"Phi_ht1\" : jets_ht[:,0].phi,\n", + " \"Pt_ht1\" : jets_ht[:,0].pt, \n", + " \"AvEta_ht\" : (jets_ht[:,0].eta + jets_ht[:,1].eta + jets_ht[:,2].eta)/3, \n", + " \"deltaEta_h2_ht3\" : np.abs(jets_higgs[:,1].eta - jets_ht[:,2].eta),\n", + " \"deltaPt_h1_ht2\" : np.abs(jets_higgs[:,0].pt - jets_ht[:,1].pt), \n", + " \"deltaPt_h2_ht3\" : np.abs(jets_higgs[:,1].pt - jets_ht[:,2].pt),\n", + " \"deltaPt_ht2_ltop\" : np.abs(jets_ht[:,1].pt - ltop.pt), \n", + " \"deltaPt_ht3_ltop\" : np.abs(jets_ht[:,2].pt - ltop.pt),\n", + " \"deltaPhi_ht3_ltop\" : jets_ht[:,2].deltaphi(ltop),\n", + " \"Mass_ht1_ht2\" : (jets_ht[:,0]+jets_ht[:,1]).mass,\n", + " \"Mass_ht1_ht3\": (jets_ht[:,0]+jets_ht[:,2]).mass,\n", + " \"Mass_ht2_ht3\" : (jets_ht[:,1]+jets_ht[:,2]).mass }\n", + " \n", + " return variables" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "id": "68942964", + "metadata": {}, + "outputs": [], + "source": [ + "def get_training_data(higgs_jets, thad_jets, tlep_jets):\n", + " jets_higgs_signal = ak.flatten(higgs_jets[signal_comb])\n", + " jets_ht_signal = ak.flatten(thad_jets[signal_comb])\n", + " jets_lt_signal = ak.flatten(tlep_jets[signal_comb])\n", + " # And then background\n", + " jets_higgs_bkg = ak.flatten(higgs_jets[~signal_comb])\n", + " jets_ht_bkg = ak.flatten(thad_jets[~signal_comb])\n", + " jets_lt_bkg = ak.flatten(tlep_jets[~signal_comb])\n", + " \n", + " x_correct = get_variables(jets_higgs_signal, jets_ht_signal, jets_lt_signal)\n", + " x_wrong = get_variables(jets_higgs_bkg, jets_ht_bkg, jets_lt_bkg)\n", + " x_correct[\"y\"] = 1\n", + " x_wrong[\"y\"] = 0\n", + " training_data_1 = pd.DataFrame(x_correct)\n", + " training_data_0 = pd.DataFrame(x_wrong)\n", + " return training_data_1, training_data_0" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "id": "c3fc4d71", + "metadata": {}, + "outputs": [], + "source": [ + "# Takes around 21 seconds\n", + "training_data_1, training_data_0 = get_training_data(higgs_jets, thad_jets, tlep_jets)\n", + "training_data = pd.concat([training_data_1, training_data_0])" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "id": "b4c9a0c4", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n", + "KeyboardInterrupt\n", + "\n" + ] + } + ], + "source": [ + "training_data.to_csv('training_data.csv', index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "ec707af7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>deltaEta_H_htop</th>\n", + " <th>deltaEta_htop_ltop</th>\n", + " <th>deltaPhi_H_htop</th>\n", + " <th>deltaPhi_H_ltop</th>\n", + " <th>deltaPhi_htop_ltop</th>\n", + " <th>Eta_H</th>\n", + " <th>Phi_H</th>\n", + " <th>Pt_H</th>\n", + " <th>Phi_htop</th>\n", + " <th>Pt_htop</th>\n", + " <th>...</th>\n", + " <th>deltaEta_h2_ht3</th>\n", + " <th>deltaPt_h1_ht2</th>\n", + " <th>deltaPt_h2_ht3</th>\n", + " <th>deltaPt_ht2_ltop</th>\n", + " <th>deltaPt_ht3_ltop</th>\n", + " <th>deltaPhi_ht3_ltop</th>\n", + " <th>Mass_ht1_ht2</th>\n", + " <th>Mass_ht1_ht3</th>\n", + " <th>Mass_ht2_ht3</th>\n", + " <th>y</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>0.350021</td>\n", + " <td>0.362032</td>\n", + " <td>2.892119</td>\n", + " <td>1.824711</td>\n", + " <td>-1.067408</td>\n", + " <td>2.143750</td>\n", + " <td>-2.957009</td>\n", + " <td>166.002695</td>\n", + " <td>0.434057</td>\n", + " <td>259.913563</td>\n", + " <td>...</td>\n", + " <td>0.691406</td>\n", + " <td>98.9375</td>\n", + " <td>2.18750</td>\n", + " <td>57.12500</td>\n", + " <td>39.43750</td>\n", + " <td>-1.059082</td>\n", + " <td>207.684329</td>\n", + " <td>146.959469</td>\n", + " <td>98.334663</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>1.352350</td>\n", + " <td>0.407716</td>\n", + " <td>2.562213</td>\n", + " <td>1.002693</td>\n", + " <td>-1.559520</td>\n", + " <td>-0.402031</td>\n", + " <td>0.683723</td>\n", + " <td>161.167072</td>\n", + " <td>-1.878490</td>\n", + " <td>250.905804</td>\n", + " <td>...</td>\n", + " <td>0.219727</td>\n", + " <td>94.4375</td>\n", + " <td>74.43750</td>\n", + " <td>107.09375</td>\n", + " <td>11.09375</td>\n", + " <td>-1.805542</td>\n", + " <td>298.969559</td>\n", + " <td>230.028941</td>\n", + " <td>90.659427</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>0.684533</td>\n", + " <td>0.092502</td>\n", + " <td>-2.081383</td>\n", + " <td>-3.025492</td>\n", + " <td>-0.944109</td>\n", + " <td>-0.288096</td>\n", + " <td>-2.528238</td>\n", + " <td>189.209616</td>\n", + " <td>-0.446856</td>\n", + " <td>97.264841</td>\n", + " <td>...</td>\n", + " <td>0.902283</td>\n", + " <td>70.5625</td>\n", + " <td>16.78125</td>\n", + " <td>148.81250</td>\n", + " <td>184.87500</td>\n", + " <td>0.823059</td>\n", + " <td>83.065654</td>\n", + " <td>97.493374</td>\n", + " <td>72.753134</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>1.241423</td>\n", + " <td>0.231692</td>\n", + " <td>2.915282</td>\n", + " <td>-2.598958</td>\n", + " <td>0.768945</td>\n", + " <td>0.137782</td>\n", + " <td>2.317772</td>\n", + " <td>393.506613</td>\n", + " <td>-0.597510</td>\n", + " <td>325.837955</td>\n", + " <td>...</td>\n", + " <td>1.201172</td>\n", + " <td>191.0625</td>\n", + " <td>301.81250</td>\n", + " <td>126.25000</td>\n", + " <td>80.06250</td>\n", + " <td>1.409264</td>\n", + " <td>240.171991</td>\n", + " <td>67.611366</td>\n", + " <td>100.512549</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>0.429063</td>\n", + " <td>1.378441</td>\n", + " <td>-3.004479</td>\n", + " <td>-2.717295</td>\n", + " <td>0.287184</td>\n", + " <td>2.072824</td>\n", + " <td>0.774386</td>\n", + " <td>211.614288</td>\n", + " <td>-2.504320</td>\n", + " <td>119.025595</td>\n", + " <td>...</td>\n", + " <td>0.051514</td>\n", + " <td>17.6875</td>\n", + " <td>133.46875</td>\n", + " <td>25.65625</td>\n", + " <td>1.18750</td>\n", + " <td>1.100586</td>\n", + " <td>128.638498</td>\n", + " <td>108.364708</td>\n", + " <td>66.078296</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>...</th>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2392212</th>\n", + " <td>0.260465</td>\n", + " <td>0.404466</td>\n", + " <td>3.063860</td>\n", + " <td>2.160621</td>\n", + " <td>-0.903239</td>\n", + " <td>-1.495713</td>\n", + " <td>-2.038092</td>\n", + " <td>94.794850</td>\n", + " <td>1.181234</td>\n", + " <td>136.914964</td>\n", + " <td>...</td>\n", + " <td>0.761566</td>\n", + " <td>44.6250</td>\n", + " <td>3.90625</td>\n", + " <td>30.78125</td>\n", + " <td>7.15625</td>\n", + " <td>-3.076050</td>\n", + " <td>88.155146</td>\n", + " <td>123.890896</td>\n", + " <td>88.574332</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2392213</th>\n", + " <td>0.065119</td>\n", + " <td>0.730051</td>\n", + " <td>2.697970</td>\n", + " <td>2.160621</td>\n", + " <td>-0.537349</td>\n", + " <td>-1.495713</td>\n", + " <td>-2.038092</td>\n", + " <td>94.794850</td>\n", + " <td>1.547124</td>\n", + " <td>177.442325</td>\n", + " <td>...</td>\n", + " <td>0.001831</td>\n", + " <td>44.6250</td>\n", + " <td>0.81250</td>\n", + " <td>30.78125</td>\n", + " <td>10.25000</td>\n", + " <td>0.434570</td>\n", + " <td>88.155146</td>\n", + " <td>106.459284</td>\n", + " <td>78.636377</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2392214</th>\n", + " <td>1.855921</td>\n", + " <td>1.190989</td>\n", + " <td>-2.494084</td>\n", + " <td>2.160621</td>\n", + " <td>-1.628480</td>\n", + " <td>-1.495713</td>\n", + " <td>-2.038092</td>\n", + " <td>94.794850</td>\n", + " <td>0.455992</td>\n", + " <td>35.234389</td>\n", + " <td>...</td>\n", + " <td>0.761566</td>\n", + " <td>67.8125</td>\n", + " <td>3.90625</td>\n", + " <td>7.59375</td>\n", + " <td>7.15625</td>\n", + " <td>-3.076050</td>\n", + " <td>140.143494</td>\n", + " <td>123.890896</td>\n", + " <td>50.285811</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2392215</th>\n", + " <td>1.127781</td>\n", + " <td>0.462850</td>\n", + " <td>2.434998</td>\n", + " <td>2.160621</td>\n", + " <td>-0.274377</td>\n", + " <td>-1.495713</td>\n", + " <td>-2.038092</td>\n", + " <td>94.794850</td>\n", + " <td>1.810096</td>\n", + " <td>68.194806</td>\n", + " <td>...</td>\n", + " <td>0.001831</td>\n", + " <td>67.8125</td>\n", + " <td>0.81250</td>\n", + " <td>7.59375</td>\n", + " <td>10.25000</td>\n", + " <td>0.434570</td>\n", + " <td>140.143494</td>\n", + " <td>106.459284</td>\n", + " <td>119.780554</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2392216</th>\n", + " <td>0.517231</td>\n", + " <td>0.147701</td>\n", + " <td>2.488197</td>\n", + " <td>2.160621</td>\n", + " <td>-0.327577</td>\n", + " <td>-1.495713</td>\n", + " <td>-2.038092</td>\n", + " <td>94.794850</td>\n", + " <td>1.756896</td>\n", + " <td>84.584476</td>\n", + " <td>...</td>\n", + " <td>0.001831</td>\n", + " <td>82.5625</td>\n", + " <td>0.81250</td>\n", + " <td>7.15625</td>\n", + " <td>10.25000</td>\n", + " <td>0.434570</td>\n", + " <td>123.890896</td>\n", + " <td>106.459284</td>\n", + " <td>74.943474</td>\n", + " <td>0</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>2445672 rows × 37 columns</p>\n", + "</div>" + ], + "text/plain": [ + " deltaEta_H_htop deltaEta_htop_ltop deltaPhi_H_htop \\\n", + "0 0.350021 0.362032 2.892119 \n", + "1 1.352350 0.407716 2.562213 \n", + "2 0.684533 0.092502 -2.081383 \n", + "3 1.241423 0.231692 2.915282 \n", + "4 0.429063 1.378441 -3.004479 \n", + "... ... ... ... \n", + "2392212 0.260465 0.404466 3.063860 \n", + "2392213 0.065119 0.730051 2.697970 \n", + "2392214 1.855921 1.190989 -2.494084 \n", + "2392215 1.127781 0.462850 2.434998 \n", + "2392216 0.517231 0.147701 2.488197 \n", + "\n", + " deltaPhi_H_ltop deltaPhi_htop_ltop Eta_H Phi_H Pt_H \\\n", + "0 1.824711 -1.067408 2.143750 -2.957009 166.002695 \n", + "1 1.002693 -1.559520 -0.402031 0.683723 161.167072 \n", + "2 -3.025492 -0.944109 -0.288096 -2.528238 189.209616 \n", + "3 -2.598958 0.768945 0.137782 2.317772 393.506613 \n", + "4 -2.717295 0.287184 2.072824 0.774386 211.614288 \n", + "... ... ... ... ... ... \n", + "2392212 2.160621 -0.903239 -1.495713 -2.038092 94.794850 \n", + "2392213 2.160621 -0.537349 -1.495713 -2.038092 94.794850 \n", + "2392214 2.160621 -1.628480 -1.495713 -2.038092 94.794850 \n", + "2392215 2.160621 -0.274377 -1.495713 -2.038092 94.794850 \n", + "2392216 2.160621 -0.327577 -1.495713 -2.038092 94.794850 \n", + "\n", + " Phi_htop Pt_htop ... deltaEta_h2_ht3 deltaPt_h1_ht2 \\\n", + "0 0.434057 259.913563 ... 0.691406 98.9375 \n", + "1 -1.878490 250.905804 ... 0.219727 94.4375 \n", + "2 -0.446856 97.264841 ... 0.902283 70.5625 \n", + "3 -0.597510 325.837955 ... 1.201172 191.0625 \n", + "4 -2.504320 119.025595 ... 0.051514 17.6875 \n", + "... ... ... ... ... ... \n", + "2392212 1.181234 136.914964 ... 0.761566 44.6250 \n", + "2392213 1.547124 177.442325 ... 0.001831 44.6250 \n", + "2392214 0.455992 35.234389 ... 0.761566 67.8125 \n", + "2392215 1.810096 68.194806 ... 0.001831 67.8125 \n", + "2392216 1.756896 84.584476 ... 0.001831 82.5625 \n", + "\n", + " deltaPt_h2_ht3 deltaPt_ht2_ltop deltaPt_ht3_ltop \\\n", + "0 2.18750 57.12500 39.43750 \n", + "1 74.43750 107.09375 11.09375 \n", + "2 16.78125 148.81250 184.87500 \n", + "3 301.81250 126.25000 80.06250 \n", + "4 133.46875 25.65625 1.18750 \n", + "... ... ... ... \n", + "2392212 3.90625 30.78125 7.15625 \n", + "2392213 0.81250 30.78125 10.25000 \n", + "2392214 3.90625 7.59375 7.15625 \n", + "2392215 0.81250 7.59375 10.25000 \n", + "2392216 0.81250 7.15625 10.25000 \n", + "\n", + " deltaPhi_ht3_ltop Mass_ht1_ht2 Mass_ht1_ht3 Mass_ht2_ht3 y \n", + "0 -1.059082 207.684329 146.959469 98.334663 1 \n", + "1 -1.805542 298.969559 230.028941 90.659427 1 \n", + "2 0.823059 83.065654 97.493374 72.753134 1 \n", + "3 1.409264 240.171991 67.611366 100.512549 1 \n", + "4 1.100586 128.638498 108.364708 66.078296 1 \n", + "... ... ... ... ... .. \n", + "2392212 -3.076050 88.155146 123.890896 88.574332 0 \n", + "2392213 0.434570 88.155146 106.459284 78.636377 0 \n", + "2392214 -3.076050 140.143494 123.890896 50.285811 0 \n", + "2392215 0.434570 140.143494 106.459284 119.780554 0 \n", + "2392216 0.434570 123.890896 106.459284 74.943474 0 \n", + "\n", + "[2445672 rows x 37 columns]" + ] + }, + "execution_count": 104, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "training_data" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "id": "67163787", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaEta_H_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4.5), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaEta_H_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4.5), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaEta_H_htop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "id": "0cec93b8", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'DataFrame' object has no attribute 'deltaEta_H_ltop'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [106], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(figsize \u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m,\u001b[38;5;241m7\u001b[39m), dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m72\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_H_ltop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m5\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mwrong\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 3\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m1\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_H_ltop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m5\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mcorrect\u001b[39m\u001b[38;5;124m\"\u001b[39m,density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 4\u001b[0m plt\u001b[38;5;241m.\u001b[39mylabel(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mEvents\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", + "File \u001b[0;32m/work/dvalsecc/miniconda3/envs/coffea4/lib/python3.10/site-packages/pandas/core/generic.py:5575\u001b[0m, in \u001b[0;36mNDFrame.__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 5568\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[1;32m 5569\u001b[0m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_internal_names_set\n\u001b[1;32m 5570\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_metadata\n\u001b[1;32m 5571\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_accessors\n\u001b[1;32m 5572\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_info_axis\u001b[38;5;241m.\u001b[39m_can_hold_identifiers_and_holds_name(name)\n\u001b[1;32m 5573\u001b[0m ):\n\u001b[1;32m 5574\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m[name]\n\u001b[0;32m-> 5575\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mobject\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__getattribute__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'deltaEta_H_ltop'" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaEta_H_ltop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,5), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaEta_H_ltop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,5), label=\"correct\",density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaEta_H_ltop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "7c67dcdb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaPt_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=30, range=(0,300), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaPt_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=30, range=(0,300), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaPt_ht1_ht2')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "5f8171e4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Mass_H, histtype = \"step\", linewidth=3.0, bins=50, range=(0,450), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Mass_H, histtype = \"step\", linewidth=3.0, bins=50, range=(0,450), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Mass_H')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "id": "fc1b4e48", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAHCCAYAAACQW9GiAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAAsTAAALEwEAmpwYAABCI0lEQVR4nO3dfVzV5eH/8TdyJqQiCt4RMAGPQ0WRFKRaZmpGt6dVKKSZpkl5sza709/Wis1Km7ZZ024sltbUY7qUzJv0681myyQsWuosNChBZoYJonJzjtfvD79+vpKASBwQfD0fDx47n5vrOtd1Pmedt9f1ufEyxhgBAIBLWovGbgAAAGh8BAIAAEAgAAAABAIAACACAQAAEIEAAACIQIBGkpqaqnvuuaexmwGglry8vLRv3z5J0oMPPqgZM2bUa/0LFy7UNddcU6914sLYGrsBaJ7atGljvT5x4oR8fHzk7e0tSXr11Vcbq1kNJjU1Vfv27dPf/va3xm4KUO9eeeWVxm4CPIARAnhESUmJ9ffTn/5Uq1evtpZHjRrV2M07h8vlqtW65sLtdjd2E6rUnD/zhsTniLogEKDRlJeX695775Wfn5+ioqKUmZlpbTt48KDuuusudezYUeHh4XrxxRerrefkyZN65JFH1LVrV/n7++uaa67RyZMnJUnvvvuuoqKi1K5dO1133XX6z3/+Y5ULCwvTc889p+joaLVu3Vr79u2Tl5eX0tLS9NOf/lRDhgyRJP31r39Vz5491b59eyUkJOjrr7+26ti9e7eGDRumgIAAde7cWc8++6zWr1+vZ599VsuWLVObNm3Ut2/fc9r83HPPKTExsdK6X/3qV3rooYcknR4+jYiIkJ+fn8LDw7V48eJz6igtLdVll12m7777TpL0zDPPyGazqbi4WJL0u9/9Tr/+9a8lSWPHjtXEiRN18803q3Xr1tqyZYv+85//6LrrrlO7du0UFRWld99916p77Nixmjx5sm655Rb5+fkpPj5e+/fvt7Zv2LBBkZGR8vf316RJkzRo0CC9/vrrVR6f1NRUJSYmKikpSX5+furXr58+++yzao+Dy+Wq9rid73MrKirS+PHjFRQUpODgYD3xxBNW+DkzJP3oo4+qffv2Cg8P17p166x63njjDfXs2VN+fn6KiIioNJK1detWhYSE6Pnnn1enTp0UFBSkN954w9pe03fwo48+0tVXX6127dqpb9++2rp1a5Wf05nPYs6cOYqOjpa/v7+SkpJUWlpqbX/ttddkt9sVEBAgh8OhgwcPWtu8vLw0f/58de/eXd27d7fa/Mc//tFq86pVq7R27Vr97Gc/U0BAgJ599lmrfEZGhq666iq1a9dOQUFBmjJlisrLy6ts59ixY/XEE09Ikm677Ta1adPG+mvRooUWLlwoSdq7d6/1/4/IyEi9/fbbVh2FhYVyOBxq27atBgwYUOn7hUZiAA/r2rWr2bhxY6V1Tz31lPHx8TFr1qwxLpfLTJ8+3cTHxxtjjHG73aZfv37m97//vSkrKzP79+834eHhZv369VXWP2nSJDNo0CCTl5dnXC6X+de//mVKS0vNF198YVq1amU2bNhgysvLzXPPPWe6detmysrKrHb17dvXfPPNN+bEiRMmJyfHSDKjR482JSUl5sSJE2bVqlWmW7duZs+ePaaiosLMmDHDXHXVVcYYY4qLi02XLl3MnDlzzMmTJ01xcbH56KOPrP6NGjWq2s8kNzfXXHbZZaa4uNgYY4zL5TJdunQx27dvNyUlJcbPz8/s3bvXGGPMwYMHza5du6qsZ+DAgWbFihXGGGOGDRtmIiIizNq1a61t77zzjjHGmDFjxpi2bduaDz74wLjdblNcXGy6detmnnnmGVNWVmY2bdpk2rRpY73nmDFjTEBAgNmxY4epqKgwI0eONElJScYYYw4fPmz8/PzM3//+d1NRUWHmzp1rbDabee2116ps41NPPWVsNptZvny5KS8vN7NnzzZhYWGmvLy8yuNQ03Gr6XMzxphf/OIXJiUlxZSUlJhDhw6ZuLg488orrxhjjHnjjTeMzWYzCxYsMC6Xy7z00ksmKCjInDp1yhhjzHvvvWf27dtnTp06ZbZu3Wouu+wys3PnTmOMMVu2bDHe3t7md7/7nSkvLzdr1qwxl112mTly5EiN38G8vDwTEBBg1qxZY9xut9mwYYMJCAgw3377bZWfVdeuXU1cXJzJz883hYWFpkePHubll182xhizadMmExgYaHbu3GlKS0vNlClTzMCBA62yksz1119vCgsLzYkTJ6w2//73vzfl5eVmwYIFpkOHDubuu+82xcXFZteuXcbX19d89dVXxhhjMjMzzfbt201FRYXJyckxPXr0MH/+858r1Z+dnW19P37729+e0/61a9eaoKAg880335iSkhITEhJi/vrXv5qKigrzySefmMDAQLN7925jjDFJSUlm+PDhpqSkxHz++efm8ssvNz//+c+r/FzQMAgE8LjqAsHQoUOt5d27dxtfX19jjDEfffSRCQ0NrbT/s88+a8aOHXtO3W632/j6+pqsrKxztv3hD38ww4cPr7Tv5ZdfbrZs2WK1Ky0tzdp+JhDs37/fWnfjjTea119/vVIdl112mcnNzTVLliwxMTExVfb5fIHAGGN+/vOfm0WLFhljjNmwYYOJiIgwxhhTUlJi/P39zYoVK8yJEydqrOOJJ54wv/zlL01FRYXp3LmzmTt3rpk2bZo5efKk8fX1Nd99950x5vR/wEePHm2V++c//2k6d+5s3G63tS45Odk89dRT1v7jx4+3tq1Zs8ZERkYaY4xZtGiRufLKK61tp06dMiEhITUGgjNhz5jTn2GXLl3MP//5T2PMucfhfMetus/tv//9r2nZsmWlz2zJkiXmuuuuM8acDgTdunWzth0/ftxIMgUFBVW2+/bbbzdz5841xpwOBL6+vqaiosLa3rFjR7N9+/Yav4OzZs0y99xzT6V1N9xwg1m4cGGV79m1a1fz1ltvWcuPPfaYeeCBB4wxxowbN8489thj1rZjx44Zm81mcnJyjDGnf7A3bdpkbT/TZpfLZYw5HWAlWaHVGGP69etnVq5cWWVb/vznP5tf/OIX1vL5AsEXX3xhOnbsaLZt22aMMcbpdJprrrmm0j4pKSkmNTXVuFwuY7PZzH/+8x9r2//7f/+PQNDImDJAo+nSpYv1ulWrViotLZXL5dLXX3+tgwcPql27dtbfs88+q0OHDp1Tx3fffafS0lJ169btnG0HDx5U165dreUWLVooNDRU+fn51rrQ0NBzyp297uuvv9avfvUrqx0BAQEyxig/P18HDhyo8n1ra+TIkVq6dKkkacmSJRo5cqQkqXXr1lq2bJleeeUVBQUF6ZZbbtHevXurrGPQoEHaunWrPvnkE/Xp00fDhg3TP/7xD3300Uey2+0KDAyssl8HDx5UaGioWrT4v/8EdO3atdJn88PjU1JSUqnsGV5eXgoJCamxr2fv36JFC4WEhFQa7v5h22o6btV9bl9//bUqKioUFBRkHa8HHnhA3377bbV9kmT1a926dbryyisVEBCgdu3aae3atdZ0jCQFBgbKZrNVKl9SUlLjd/Drr7/W8uXLK32XP/jgAxUUFFT7WdX0uZ/9ubRp00aBgYE1fp8DAwOtk3kvu+wySVLnzp2t7ZdddplV/5dffqlbb71VXbp0Udu2bfWb3/ymUv9rUlRUpNtvv11PP/20daXA119/rR07dlTq++LFi/Xf//5Xhw8flsvlqtTes/uGxkEgwEUnNDRU4eHhOnr0qPV37NgxrV279px9O3ToIF9f3yrnHy+//PJK8/3GGB04cEDBwcHWOi8vr3PKnb0uNDRUr776aqW2nDx5UldffbVCQ0P11VdfVdmHqur9oeHDh2vr1q3Ky8vTypUrrR82SUpISNDGjRtVUFCgHj16aMKECVXWcfXVV+uLL77QypUrNWjQIPXq1UvffPON1q5dq0GDBlXbpssvv1wHDhzQqVOnrHXffPNNpc+mOkFBQcrLy7OWjTGVlqty4MAB6/WpU6eUl5enyy+/vNq21XTcqvvcQkND5ePjo++++846VsXFxdq9e/d5+1RWVqa77rpLjz76qA4dOqSjR4/q5ptvlqnFw2Br+g6GhoZq9OjRlb4/x48f1/Tp089b7w/98HM5fvy4CgsLz/t9rq2JEyeqR48eys7OVnFxsZ599tla9f/UqVMaOXKkBg8erJSUFGt9aGioBg0aVKnvJSUlevnll9WxY0fZbLZK34tvvvmmzm1H/SAQ4KIzYMAA+fn56bnnntPJkyfldru1a9cuffzxx+fs26JFC40bN04PP/ywDh48KLfbre3bt6usrEwjRozQmjVrtGnTJlVUVOj555+Xj4+Prr766lq35cEHH9TMmTOtH5WioiItX75cknTrrbeqoKBAc+fOVVlZmY4dO6YdO3ZIOv2vsNzc3Eo/uD/UsWNHXXfddbrvvvsUHh6unj17SpIOHTqk9PR0HT9+XD4+PtaJWlVp1aqV+vfvr/nz51sB4Oqrr9Yrr7xyTiA4W3x8vFq1aqU//vGPqqio0NatW7V69WolJyef9zO55ZZb9Pnnn2vVqlVyuVyaP3++/vvf/9ZYZufOnXrnnXfkcrk0d+5c+fj46Morr6xy3/Mdt+o+t6CgIN1www165JFHVFxcrFOnTmn//v36xz/+cd4+lZeXq6yszPqhWrdunTZs2HDeclLN38F77rlHq1ev1vvvvy+3263S0lIrzFyou+++W2+88YaysrJUVlam3/zmN4qPj1dYWNgF11WVY8eOqW3btmrTpo327t2rl19+uVblfvvb3+r48eN64YUXKq2/9dZb9eWXX+qtt95SRUWFKioq9PHHH+s///mPvL29deeddyo1NVUnTpzQnj17tGjRonrpB+qOQICLjre3t9577z1lZWUpPDxcHTp00P3336+ioqIq958zZ4769OmjuLg4BQQEaNq0aTp16pQiIyP1t7/9Tb/85S/VoUMHrV69WqtXr1bLli1r3ZY77rhD06ZNU3Jystq2bavevXtbZ6b7+flp48aNWr16tbp06aLu3btry5Ytkk7/K1Y6PWTbr1+/ausfOXKk/ud//qfS6MCpU6f0pz/9SZdffrkCAgL0j3/8o8b/OA8aNEgVFRUaMGCAtXzs2DFde+211ZZp2bKlVq9erXXr1qlDhw6aNGmS3nzzTfXo0eO8n0mHDh20fPlyPf744woMDNSePXsUGxsrHx+fasvcfvvtWrZsmdq3b6+33npL77zzjn7yk59UuW9tjltVn5skvfnmmyovL1evXr3Uvn17JSYm1jg8f4afn59efPFFjRgxQu3bt9eSJUvkcDjOW+6M6r6DoaGhSk9P17PPPquOHTsqNDRUs2fPrjEoVuf666/XjBkzdNdddykoKEj79++X0+m84Hpq6sOSJUvk5+enCRMmKCkpqVblli5dqo8++kjt27e3rjRYvHix/Pz8tGHDBjmdTl1++eXq0qWLpk2bprKyMknSvHnzVFJSoi5dumjs2LG677776q0vqBsvU5sxIQCoxqlTpxQSEqLFixdr8ODB52znJk1A08AIAYAL9v777+vo0aMqKyuz5pqrmwIA0DQQCABcsO3bt6tbt27WkP6qVauss9gBNE1MGQAAAEYIAAAAgQAAAOgSf/xxhw4d6u0aXgAALna5ubnV3oHykg4EYWFhlZ6wBwBAcxYbG1vtNqYMAAAAgQAAABAIAACALvFzCAAATV9FRYXy8vJUWlra2E25aPj6+iokJKTaZ4ZUhUAAAGjS8vLy5Ofnp7CwsB/1COjmwhijwsJC5eXlKTw8vNblmDIAADRppaWlCgwMJAz8Ly8vLwUGBl7wiAmBAADQ5BEGKqvL58GUAQCg2QibvsZjdefOusVjdV8MGCEAAKCBuN3uxm5CtQgEAAD8CLNnz9aLL74oSZo6daqGDBkiSdq8ebNGjRqlNm3a6JFHHlHfvn21fft2/elPf1Lv3r3Vu3dvzZ07V9LpWwr37NlTEyZMUFRUlG644QadPHlSkvTxxx8rOjpaMTExeuyxx9S7d2+P9IMpAwBAs1QfQ/y1mYIYOHCgnn/+eT300EPKzMxUWVmZKioqtG3bNl177bVasmSJ4uPj9fzzz2vnzp164403tGPHDhljFB8fr0GDBql9+/bKzs7W0qVL9dprr2nEiBH6+9//rnvuuUf33XefXnvtNV111VWaPn36j+5TdRghAADgR+jfv7927typ4uJi+fj46KqrrlJmZqa2bdumgQMHytvbW3fddZck6YMPPtAdd9yh1q1bq02bNrrzzju1bds2SVJ4eLhiYmKsOnNzc3X06FEdO3ZMV111lSRp5MiRHusHIwQAAPwIP/nJTxQeHq6FCxfq6quvVnR0tLZs2aJ9+/apZ8+e8vX1lbe393nr8fHxsV57e3tbUwYNhRECAAB+pIEDB2rOnDm69tprNXDgQL3yyiu64oorzrn8b+DAgVq1apVOnDih48ePa+XKlRo4cGC19bZr105+fn7asWOHJMnpdHqsD4wQAACaJU9egvhDAwcO1DPPPKOrrrpKrVu3lq+vb5U/9P369dPYsWM1YMAASdL999+vK664Qrm5udXWnZaWpgkTJqhFixYaNGiQ/P39PdIHAkE9qY8vXnO/xhUAmquhQ4eqoqLCWv7yyy+t1yUlJZX2ffjhh/Xwww9XWhcWFqZdu3ZZy48++qj1OioqSv/+978lSbNmzVJsbGy9tv0MAgEAABexNWvWaObMmXK5XOratasWLlzokfchEAAAmo3mONKalJSkpKQkj78PgcADLuQL2ZBzXAAAVIerDAAAAIEAAAAQCAAAgDiHAADQnKR65hr903UXea7uOjh69KiWLFmiSZMm1Ut9jBAAANAIXC5Xjcvnc/ToUb300kv11h5GCAAA+JHefPNNzZkzR15eXoqOjtaMGTM0btw4fffdd+rYsaPeeOMN/fSnP9XYsWPl6+urTz/9VD//+c915MiRSsuTJ0/W5MmTdfjwYbVq1UqvvfaaevTooUOHDunBBx/UV199JUl6+eWX9eKLL2r//v2KiYnRsGHDNHv27B/VBwIBAKB5qo8h/lpMQezevVtPP/20PvzwQ3Xo0EFHjhzRmDFjrL+//vWveuihh7Rq1SpJUl5enj788EN5e3tr7NixlZaHDh2qV155Rd27d9eOHTs0adIkbd68WQ899JAGDRqklStXyu12q6SkRLNmzdKuXbuUlZX14/spAgEAAD/K5s2bNXz4cHXo0EGSFBAQoO3bt+udd96RJI0ePVqPP/64tf/w4cMrPf3wzHJJSYk+/PBDDR8+3NpWVlZmvcebb74p6fSTEP39/fX999/Xaz8IBAAANKDWrVtXuXzq1Cm1a9eu3v7Ff6E4qRAAgB9hyJAhWr58uQoLCyVJR44c0dVXX209qnjx4sU1PuL4jLZt2yo8PFzLly+XJBlj9Nlnn0k6/fCkl19+WZLkdrtVVFQkPz8/HTt2rN76wQgBAKB58uQliGeJiorSb3/7Ww0aNEje3t664oor9Je//EX33XefZs+ebZ1UWBuLFy/WxIkT9fTTT6uiokLJycnq27evXnjhBaWkpCgtLU3e3t56+eWXddVVV+nnP/+5evfurZtuuomTCgEAaGxnTiA82+bNm8/Z74dPKvzhcnh4uNavX39Ouc6dOys9Pf2c9UuWLLnwxlaDKQMAAMAIAQCgGbnI7ibYlDBCAAAACAQAgKbPGNPYTbio1OXzIBAAAJo0X19fFRYWEgr+lzFGhYWF8vX1vaBynEMAAGjSQkJClJeXp8OHDzd2Uy4avr6+CgkJuaAyBAIAQJP2k5/8ROHh4Y3djCaPKQMAAEAgAAAABAIAACACAQAAEIEAAADIw4Fg/fr1ioyMlN1u16xZs87ZXlZWpqSkJNntdsXHxys3N1eSVFhYqMGDB6tNmzaaMmWKtf+xY8cUExNj/XXo0EG//vWvJZ1+QETHjh2tba+//ronuwYAQLPiscsO3W63Jk+erI0bNyokJERxcXFyOBzq1auXtU9aWprat2+vffv2yel0atq0aVq2bJl8fX01Y8YM7dq1S7t27bL29/PzU1ZWlrXcv39/3XnnndZyUlKS5s2b56kuAQDQbHksEGRkZMhutysiIkKSlJycrPT09EqBID09XampqZKkxMRETZkyRcYYtW7dWtdcc4327dtXbf1ffvmlvv32Ww0cONBTXbggub4j/28h9ULKnb3EQzkAAI3DY1MG+fn5Cg0NtZZDQkKUn59f7T42m03+/v4qLCysVf1Op1NJSUny8vKy1v39739XdHS0EhMTdeDAgSrLLViwQLGxsYqNjeWuVgAA/K8me1Kh0+nU3XffbS3fdtttys3N1b///W8NGzZMY8aMqbJcSkqKMjMzlZmZqY4dOzZUcwEAuKh5bMogODi40r/S8/LyFBwcXOU+ISEhcrlcKioqUmBg4Hnr/uyzz+RyudS/f39r3dnl7r//fj3++OP10Is6upDncaf6e64dAADUksdGCOLi4pSdna2cnByVl5fL6XTK4XBU2sfhcGjRokWSpBUrVmjIkCGVpgCqs3Tp0kqjA5JUUFBgvX733XfVs2fPeugFAACXBo+NENhsNs2bN08JCQlyu90aN26coqKi9OSTTyo2NlYOh0Pjx4/X6NGjZbfbFRAQIKfTaZUPCwtTcXGxysvLtWrVKm3YsME6IfHtt9/W2rVrK73fiy++qHfffVc2m00BAQFauHChp7oGAECz42Uu4QdIx8bGKjMzs34qO3vov65TBhdSDgCAC1TT716TPakQAADUHwIBAAAgEAAAAAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAADycCBYv369IiMjZbfbNWvWrHO2l5WVKSkpSXa7XfHx8crNzZUkFRYWavDgwWrTpo2mTJlSqcx1112nyMhIxcTEKCYmRt9++22NdQEAgPPzWCBwu92aPHmy1q1bpz179mjp0qXas2dPpX3S0tLUvn177du3T1OnTtW0adMkSb6+vpoxY4bmzJlTZd2LFy9WVlaWsrKy1KlTpxrrAgAA5+exQJCRkSG73a6IiAi1bNlSycnJSk9Pr7RPenq6xowZI0lKTEzUpk2bZIxR69atdc0118jX17fW71ddXQAA4Pw8Fgjy8/MVGhpqLYeEhCg/P7/afWw2m/z9/VVYWHjeuu+77z7FxMRoxowZ1o9+XesCAABN8KTCxYsX6/PPP9e2bdu0bds2vfXWWxdUfsGCBYqNjVVsbKwOHz7soVYCANC0eCwQBAcH68CBA9ZyXl6egoODq93H5XKpqKhIgYGB561Xkvz8/DRy5EhlZGRcUF0pKSnKzMxUZmamOnbsWPcOAgDQjHgsEMTFxSk7O1s5OTkqLy+X0+mUw+GotI/D4dCiRYskSStWrNCQIUPk5eVVbZ0ul0vfffedJKmiokLvvfeeevfuXae6AADA/7F5rGKbTfPmzVNCQoLcbrfGjRunqKgoPfnkk4qNjZXD4dD48eM1evRo2e12BQQEyOl0WuXDwsJUXFys8vJyrVq1Shs2bFDXrl2VkJCgiooKud1uXX/99ZowYYIk1VgXAAComZe5hE/Fj42NVWZmZv1Ulup/1usiz5cDAOAC1fS71+ROKgQAAPWPQAAAAAgEAACAQAAAAEQgAAAAIhAAAAB58D4EuHBh09dccJncWbd4oCUAgEsNIwQAAIBAAAAAmDK4qNR2+L8uUwsAANSEEQIAAEAgAAAABAIAACDOIbi4nP3kwxrk+p69xBMSAQA/HiMEAACAQAAAAJgyaHypdRjyr+XUAgAAtcUIAQAAIBAAAAACAQAAEIEAAACIQAAAAEQgAAAAIhAAAAARCAAAgAgEAABABAIAACACAQAAEIEAAACIQAAAAEQgAAAAIhAAAAARCAAAgAgEAABABAIAACACAQAAEIEAAACIQAAAAEQgAAAAIhAAAAB5OBCsX79ekZGRstvtmjVr1jnby8rKlJSUJLvdrvj4eOXm5kqSCgsLNXjwYLVp00ZTpkyx9j9x4oRuueUW9ejRQ1FRUZo+fbq1beHCherYsaNiYmIUExOj119/3ZNdAwCgWfFYIHC73Zo8ebLWrVunPXv2aOnSpdqzZ0+lfdLS0tS+fXvt27dPU6dO1bRp0yRJvr6+mjFjhubMmXNOvY8++qj27t2rTz/9VP/617+0bt06a1tSUpKysrKUlZWl+++/31NdAwCg2fFYIMjIyJDdbldERIRatmyp5ORkpaenV9onPT1dY8aMkSQlJiZq06ZNMsaodevWuuaaa+Tr61tp/1atWmnw4MGSpJYtW6pfv37Ky8vzVBcAALhkeCwQ5OfnKzQ01FoOCQlRfn5+tfvYbDb5+/ursLCwVvUfPXpUq1ev1tChQ611f//73xUdHa3ExEQdOHCgynILFixQbGysYmNjdfjw4QvtFgAAzVKTPKnQ5XLp7rvv1kMPPaSIiAhJ0m233abc3Fz9+9//1rBhw6yRhx9KSUlRZmamMjMz1bFjx4ZsNgAAFy2PBYLg4OBK/0rPy8tTcHBwtfu4XC4VFRUpMDDwvHWnpKSoe/fu+vWvf22tCwwMlI+PjyTp/vvv186dO+uhFwAAXBo8Fgji4uKUnZ2tnJwclZeXy+l0yuFwVNrH4XBo0aJFkqQVK1ZoyJAh8vLyqrHeJ554QkVFRZo7d26l9QUFBdbrd999Vz179qyfjgAAcAmweaxim03z5s1TQkKC3G63xo0bp6ioKD355JOKjY2Vw+HQ+PHjNXr0aNntdgUEBMjpdFrlw8LCVFxcrPLycq1atUobNmxQ27Zt9cwzz6hHjx7q16+fJGnKlCm6//779eKLL+rdd9+VzWZTQECAFi5c6KmuAQDQ7HgZY0xjN6KxxMbGKjMzs34qS/U/63VR/dR5MbwXAKDZqOl3r0meVAgAAOoXgQAAABAIAAAAgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACAJFtjNwA/Ttj0NXUqlzvrlnpuCQCgKSMQNHG5viPrWLKoXtsBAGjamDIAAAAEAgAAUIcpg++//14HDhxQdHS0J9qD2kit43B/qn/9tgMA0GzUaoTguuuuU3FxsY4cOaJ+/fppwoQJevjhhz3dNgAA0EBqFQiKiorUtm1bvfPOO7r33nu1Y8cO/c///I+n2wYAABpIrQKBy+VSQUGB3n77bd16662ebhMAAGhgtQoETz31lBISEmS32xUXF6evvvpK3bt393TbAABAA6nVSYVBQUH697//bS1HRERwDgEAAM1IrUYIfvnLX9ZqHQAAaJpqHCHYvn27PvzwQx0+fFh/+tOfrPXFxcVyu90ebxwAAGgYNQaC8vJylZSUyOVy6dixY9b6tm3basWKFR5vHAAAaBg1BoJBgwZp0KBBGjt2rLp27dpQbQIAAA2sVicVlpWVKSUlRbm5uXK5XNb6zZs3e6xhAACg4dTqpMLhw4friiuu0NNPP63Zs2dbf+ezfv16RUZGym63a9asWedsLysrU1JSkux2u+Lj45WbmytJKiws1ODBg9WmTRtNmTKlUpmdO3eqT58+stvteuihh2SMkSQdOXJEw4YNU/fu3TVs2DB9//33tekaAABQLQOBzWbTxIkTNWDAAPXv39/6q4nb7dbkyZO1bt067dmzR0uXLtWePXsq7ZOWlqb27dtr3759mjp1qqZNmyZJ8vX11YwZMzRnzpxz6p04caJee+01ZWdnKzs7W+vXr5ckzZo1S0OHDlV2draGDh1aZQABAABVq1UguO222/TSSy+poKBAR44csf5qkpGRIbvdroiICLVs2VLJyclKT0+vtE96errGjBkjSUpMTNSmTZtkjFHr1q11zTXXyNfXt9L+BQUFKi4u1pVXXikvLy/de++9WrVq1Tl1jRkzxloPAADOr1bnECxatEiSKk0TeHl56auvvqq2TH5+vkJDQ63lkJAQ7dixo9p9bDab/P39VVhYqA4dOlRbZ0hISKU68/PzJUmHDh1SUFCQJKlLly46dOhQbboGAABUy0CQk5Pj6XbUKy8vL3l5eVW5bcGCBVqwYIEk6fDhww3ZLAAALlq1mjI4ceKEnn76aaWkpEiSsrOz9d5779VYJjg4WAcOHLCW8/LyFBwcXO0+LpdLRUVFCgwMrLHOvLy8Kuvs3LmzCgoKJJ2eWujUqVOVdaSkpCgzM1OZmZnq2LFjjX0AAOBSUatAcN9996lly5b68MMPJZ3+YX7iiSdqLBMXF6fs7Gzl5OSovLxcTqdTDoej0j4Oh8OajlixYoWGDBlS7b/spdPPVGjbtq0++ugjGWP05ptv6vbbbz+nrkWLFlnrAQDA+dVqymD//v1atmyZli5dKklq1aqVdblftRXbbJo3b54SEhLkdrs1btw4RUVF6cknn1RsbKwcDofGjx+v0aNHy263KyAgQE6n0yofFham4uJilZeXa9WqVdqwYYN69eqll156SWPHjtXJkyd100036aabbpIkTZ8+XSNGjFBaWpq6du2qt99+u66fCQAAl5xaBYKWLVvq5MmT1r/e9+/fLx8fn/OWu/nmm3XzzTdXWveHP/zBeu3r66vly5dXWfbMPQl+KDY2Vrt27TpnfWBgoDZt2nTeNgEAgHPVKhCkpqbqxhtv1IEDBzRq1Cj961//0sKFCz3cNAAA0FBqFQhuuOEG9e/f35q7f+GFF6q9NBAAADQ9tQoEt912m0aOHCmHw6HWrVt7uk0AAKCB1eoqg0cffVTbtm1Tr169lJiYqBUrVqi0tNTTbQMAAA2kViMEZx6D7Ha7tXnzZr322msaN26ciouLPd0+AADQAGoVCCTp5MmTWr16tZYtW6ZPPvnEem4AAABo+moVCEaMGKGMjAzdeOONmjJligYNGqQWLWo12wAAAJqAWgWC8ePHa+nSpfL29vZ0ewAAQCOo8Z/5f/zjHyVJCQkJeueddypt+81vfuO5VgEAgAZVYyA4+1bCM2fOrLRt/fr1nmkRAABocDUGgrOfV/DDZxec71kGAACg6agxEJz95MEfPoWwpqcSAgCApqXGkwo/++wztW3bVsYYnTx5Um3btpV0enSAGxMBANB81BgI3G53Q7UDAAA0Im4mAAAACAQAAIBAAAAARCAAAAAiEAAAABEIAACALuDxx2hmUv3rUKao/tsBALgoMEIAAAAIBAAAgCmDS0pY6RLrde6sW2pXqC5TCwCAJocRAgAAQCAAAABMGVyywqavqdV+ub4ebggA4KLACAEAACAQAAAApgwuKbW+suBsqfXeDADARYgRAgAAQCAAAAAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAeDgTr169XZGSk7Ha7Zs2adc72srIyJSUlyW63Kz4+Xrm5uda2mTNnym63KzIyUu+//74k6YsvvlBMTIz117ZtW82dO1eSlJqaquDgYGvb2rVrPdk1AACaFY89y8Dtdmvy5MnauHGjQkJCFBcXJ4fDoV69eln7pKWlqX379tq3b5+cTqemTZumZcuWac+ePXI6ndq9e7cOHjyo66+/Xl9++aUiIyOVlZVl1R8cHKw77rjDqm/q1Kl69NFHPdUlAACaLY+NEGRkZMhutysiIkItW7ZUcnKy0tPTK+2Tnp6uMWPGSJISExO1adMmGWOUnp6u5ORk+fj4KDw8XHa7XRkZGZXKbtq0Sd26dVPXrl091QUAAC4ZHgsE+fn5Cg0NtZZDQkKUn59f7T42m03+/v4qLCysVVmn06m777670rp58+YpOjpa48aN0/fff19luxYsWKDY2FjFxsbq8OHDP6qPAAA0F03ypMLy8nK9++67Gj58uLVu4sSJ2r9/v7KyshQUFKRHHnmkyrIpKSnKzMxUZmamOnbs2FBNBgDgouaxQBAcHKwDBw5Yy3l5eQoODq52H5fLpaKiIgUGBp637Lp169SvXz917tzZWte5c2d5e3urRYsWmjBhwjlTDAAAoHoeCwRxcXHKzs5WTk6OysvL5XQ65XA4Ku3jcDi0aNEiSdKKFSs0ZMgQeXl5yeFwyOl0qqysTDk5OcrOztaAAQOsckuXLj1nuqCgoMB6vXLlSvXu3dtTXQMAoNnx2FUGNptN8+bNU0JCgtxut8aNG6eoqCg9+eSTio2NlcPh0Pjx4zV69GjZ7XYFBATI6XRKkqKiojRixAj16tVLNptN8+fPl7e3tyTp+PHj2rhxo1599dVK7/f4448rKytLXl5eCgsLO2c7AAConpcxxjR2IxpLbGysMjMz66eyVP+zXhfVT50Xg+baLwC4BNX0u9ckTyoEAAD1i0AAAAAIBAAAgEAAAABEIAAAAPLgZYdohs6+4uCCynF1AgBc7BghAAAABAIAAMCUAc4jrHSJ9Tp31i21L1jX6QUAQKNghAAAABAIAAAAgQAAAIhAAAAARCAAAADiKgNcgLDpa2q9b66vBxsCAKh3jBAAAAACAQAAYMoA53FBNyM6W2q9NgMA4GGMEAAAAAIBAAAgEAAAABEIAACACAQAAEAEAgAAIAIBAAAQgQAAAIhAAAAARCAAAAAiEAAAABEIAACACAQAAEAEAgAAIAIBAACQZGvsBuASkOpfx3JF9dsOAEC1GCEAAAAEAgAAwJQBPCSsdIn1OnfWLbUvWNfpBQDAj8IIAQAAIBAAAAAPB4L169crMjJSdrtds2bNOmd7WVmZkpKSZLfbFR8fr9zcXGvbzJkzZbfbFRkZqffff99aHxYWpj59+igmJkaxsbHW+iNHjmjYsGHq3r27hg0bpu+//96TXQMAoFnxWCBwu92aPHmy1q1bpz179mjp0qXas2dPpX3S0tLUvn177du3T1OnTtW0adMkSXv27JHT6dTu3bu1fv16TZo0SW632yq3ZcsWZWVlKTMz01o3a9YsDR06VNnZ2Ro6dGiVAQQAAFTNYycVZmRkyG63KyIiQpKUnJys9PR09erVy9onPT1dqampkqTExERNmTJFxhilp6crOTlZPj4+Cg8Pl91uV0ZGhq666qpq3y89PV1bt26VJI0ZM0bXXXednnvuOU91DxcgbPqaWu+b6+vBhgAAquWxEYL8/HyFhoZayyEhIcrPz692H5vNJn9/fxUWFtZY1svLSzfccIP69++vBQsWWPscOnRIQUFBkqQuXbro0KFDnuoaAADNTpO77PCDDz5QcHCwvv32Ww0bNkw9evTQtddeW2kfLy8veXl5VVl+wYIFVpA4fPiwx9sLAEBT4LFAEBwcrAMHDljLeXl5Cg4OrnKfkJAQuVwuFRUVKTAwsMayZ/63U6dOuuOOO5SRkaFrr71WnTt3VkFBgYKCglRQUKBOnTpV2a6UlBSlpKRIUqWTElG/LujeA2dLrddmAABqyWNTBnFxccrOzlZOTo7Ky8vldDrlcDgq7eNwOLRo0SJJ0ooVKzRkyBB5eXnJ4XDI6XSqrKxMOTk5ys7O1oABA3T8+HEdO3ZMknT8+HFt2LBBvXv3PqeuRYsW6fbbb/dU1wAAaHY8NkJgs9k0b948JSQkyO12a9y4cYqKitKTTz6p2NhYORwOjR8/XqNHj5bdbldAQICcTqckKSoqSiNGjFCvXr1ks9k0f/58eXt769ChQ7rjjjskSS6XSyNHjtSNN94oSZo+fbpGjBihtLQ0de3aVW+//banugYAQLPjZYwxjd2IxhIbG1vp0sUf5exb7vKUvrrjcwQAj6npd487FQIAAAIBAAAgEAAAABEIAACACAQAAEAEAgAAIAIBAABQE3yWAS4hZ9+ToNZluHcBANQFIwQAAIBAAAAAmDLARSasdIn1utZPTKzL1AIAoBJGCAAAAIEAAAAwZYCLWNj0NbXaL9fXww0BgEsAIwQAAIBAAAAAmDLARabWVxacLbXemwEAlxxGCAAAAIEAAAAQCAAAgAgEAABABAIAACACAQAAEJcdormp64OOUovqtx0A0MQwQgAAAAgEAACAKQM0A2GlS6zXF3Snw7pOLwBAM8QIAQAAIBAAAAACAQAAEOcQoJkJm76m1vvm+nqwIQDQxDBCAAAACAQAAIApAzQDF3Sp4dlS67UZANCkMUIAAAAIBAAAgCkD4LS63LWQByIBaEYYIQAAAAQCAADAlAEuYXV6KBIPRALQTHl0hGD9+vWKjIyU3W7XrFmzztleVlampKQk2e12xcfHKzc319o2c+ZM2e12RUZG6v3335ckHThwQIMHD1avXr0UFRWlF154wdo/NTVVwcHBiomJUUxMjNauXevJrgEA0Kx4bITA7XZr8uTJ2rhxo0JCQhQXFyeHw6FevXpZ+6Slpal9+/bat2+fnE6npk2bpmXLlmnPnj1yOp3avXu3Dh48qOuvv15ffvmlbDabnn/+efXr10/Hjh1T//79NWzYMKvOqVOn6tFHH/VUl9CM1faWx9zuGEBz5bERgoyMDNntdkVERKhly5ZKTk5Wenp6pX3S09M1ZswYSVJiYqI2bdokY4zS09OVnJwsHx8fhYeHy263KyMjQ0FBQerXr58kyc/PTz179lR+fr6nugAAwCXDY4EgPz9foaGh1nJISMg5P95n72Oz2eTv76/CwsJalc3NzdWnn36q+Ph4a928efMUHR2tcePG6fvvv6+yXQsWLFBsbKxiY2N1+PDhH91PAACagyZ5UmFJSYnuuusuzZ07V23btpUkTZw4Ub/73e/k5eWl3/3ud3rkkUf017/+9ZyyKSkpSklJkSTFxsY2aLtxcanTLY9T670ZAHBR8NgIQXBwsA4cOGAt5+XlKTg4uNp9XC6XioqKFBgYWGPZiooK3XXXXRo1apTuvPNOa5/OnTvL29tbLVq00IQJE5SRkeGprgEA0Ox4LBDExcUpOztbOTk5Ki8vl9PplMPhqLSPw+HQokWLJEkrVqzQkCFD5OXlJYfDIafTqbKyMuXk5Cg7O1sDBgyQMUbjx49Xz5499fDDD1eqq6CgwHq9cuVK9e7d21NdAwCg2fHYlIHNZtO8efOUkJAgt9utcePGKSoqSk8++aRiY2PlcDg0fvx4jR49Wna7XQEBAXI6nZKkqKgojRgxQr169ZLNZtP8+fPl7e2tDz74QG+99Zb69OmjmJgYSdKzzz6rm2++WY8//riysrLk5eWlsLAwvfrqq57qGnBaXe9JwC2PAVyEvIwxprEb0VhiY2OVmZlZP5Wd/ePAf/Cbr/q4MRHfDwCNpKbfPW5dDAAAmuZVBkBjOft2xxci13dkPbcEAOoXIwQAAIBAAAAAmDIALkidbmYkVb6hUV1OTORERAAexggBAAAgEAAAAKYMgAZx9tUJtZ52qI97HgBALTFCAAAAGCEAGlrY9DW12i/X18MNAYCzMEIAAAAIBAAAgCkDoEHU6f4FqfXeDACoFoEAaAp41DIAD2PKAAAAEAgAAABTBsBFi0ctA2hIjBAAAABGCICLVb08WREAaolAADRjtb0r4tnqHEQANGkEAqAZq9v5BFyqCFyKOIcAAAAQCAAAAFMGQPNTl7sT1vVOiACaDQIBgMq4TTJwSWLKAAAAEAgAAABTBgCkug/3nzW9wD0PgKaNQACgXnDPA6BpIxAAaDR1GVWQGFkAPIFAAKDR1P3JjIwsAPWNQACg7hrpngecrwDUPwIBgCaH8xWA+kcgANCw6uGKhrrgfAWgZgQCAJcEzlcAakYgANA0NNYzGupSB7dxRhNEIACAelbX6Ym6YEoD9YVAAKD5aqTzFS5E3acyTgubvqRu70uQwA8QCADgh37k9MSP/ZG/EHV9r7oECUJE8+bRQLB+/Xr96le/ktvt1v3336/p06dX2l5WVqZ7771XO3fuVGBgoJYtW6awsDBJ0syZM5WWliZvb2+9+OKLSkhIqLHOnJwcJScnq7CwUP3799dbb72lli1berJ7ANBk1SVI1HU0oq4IIA3LY4HA7XZr8uTJ2rhxo0JCQhQXFyeHw6FevXpZ+6Slpal9+/bat2+fnE6npk2bpmXLlmnPnj1yOp3avXu3Dh48qOuvv15ffvmlJFVb57Rp0zR16lQlJyfrwQcfVFpamiZOnOip7gFA/avtyEQDTmmcrSFHPiRJqRdeJKy0YUNLXVysQcdjgSAjI0N2u10RERGSpOTkZKWnp1cKBOnp6UpNTZUkJSYmasqUKTLGKD09XcnJyfLx8VF4eLjsdrsyMjIkqco6e/bsqc2bN2vJktNfhDFjxig1NZVAAKDhNOSVBU3g3IjG0uChpQ4u1ukajwWC/Px8hYaGWsshISHasWNHtfvYbDb5+/ursLBQ+fn5uvLKKyuVzc/Pl6Qq6ywsLFS7du1ks9nO2R8A8L8a69JNVHIhoWWu607NdSV6sDX/55I7qXDBggVasGCBJGnv3r2KjY2tp5q76/Dhw+rYsaP0Xn3VeXGy+tnM0c/mhX7WVfd6rKv+XDrHc7M6dvxcsbFP1Ut9ubm51W7zWCAIDg7WgQMHrOW8vDwFBwdXuU9ISIhcLpeKiooUGBhYY9mq1gcGBuro0aNyuVyy2WxVvtcZKSkpSklJqc+uWmJjY5WZmemRui8m9LN5oZ/NC/1sXhqyny08VXFcXJyys7OVk5Oj8vJyOZ1OORyOSvs4HA4tWrRIkrRixQoNGTJEXl5ecjgccjqdKisrU05OjrKzszVgwIBq6/Ty8tLgwYO1YsUKSdKiRYt0++23e6prAAA0Ox4bIbDZbJo3b54SEhLkdrs1btw4RUVF6cknn1RsbKwcDofGjx+v0aNHy263KyAgQE6nU5IUFRWlESNGqFevXrLZbJo/f768vb0lqco6Jem5555TcnKynnjiCV1xxRUaP368p7oGAEDzY1BvXn311cZuQoOgn80L/Wxe6Gfz0pD99DLGmMYOJQAAoHF57BwCAADQdBAI6sn69esVGRkpu92uWbNmNXZz6lVYWJj69OmjmJgY6zLNI0eOaNiwYerevbuGDRum77//vpFbeeHGjRunTp06qXfv3ta66vpljNFDDz0ku92u6OhoffLJJ43V7AtWVT9TU1MVHBysmJgYxcTEaO3atda2mTNnym63KzIyUu+//35jNLlODhw4oMGDB6tXr16KiorSCy+8IKl5HdPq+tgcj2dpaakGDBigvn37KioqSk89dfqyu5ycHMXHx8tutyspKUnl5eWSTt8KPykpSXa7XfHx8TVeXnexqK6PY8eOVXh4uHU8s7KyJDXAd7bBJieaMZfLZSIiIsz+/ftNWVmZiY6ONrt3727sZtWbrl27msOHD1da99hjj5mZM2caY4yZOXOmefzxxxujaT/KP/7xD7Nz504TFRVlrauuX2vWrDE33nijOXXqlNm+fbsZMGBAo7S5Lqrq51NPPWVmz559zr67d+820dHRprS01Hz11VcmIiLCuFyuhmxunR08eNDs3LnTGGNMcXGx6d69u9m9e3ezOqbV9bE5Hs9Tp06ZY8eOGWOMKS8vNwMGDDDbt283w4cPN0uXLjXGGPPAAw+Yl156yRhjzPz5880DDzxgjDFm6dKlZsSIEY3T8AtQXR/HjBljli9ffs7+nv7OMkJQD86+TXPLli2tWyo3Z+np6RozZoyk07eKXrVqVeM2qA6uvfZaBQQEVFpXXb/S09N17733ysvLS1deeaWOHj2qgoKChm5ynVTVz+rUdNvwi11QUJD69esnSfLz81PPnj2Vn5/frI5pdX2sTlM+nl5eXmrTpo0kqaKiQhUVFfLy8tLmzZuVmHj6zn0/PJ5njnNiYqI2bdokc5GfIlddH6vj6e8sgaAeVHWb5uZ062QvLy/dcMMN6t+/v3WXx0OHDikoKEiS1KVLFx06dKgxm1hvqutXczzG8+bNU3R0tMaNG2cNozeXfubm5urTTz9VfHx8sz2mZ/dRap7H0+12KyYmRp06ddKwYcPUrVu3am9TX92t8C92P+zjmeP529/+VtHR0Zo6darKysokef54EghwXh988IE++eQTrVu3TvPnz9c///nPStu9vLxqTLVNVXPtlyRNnDhR+/fvV1ZWloKCgvTII480dpPqTUlJie666y7NnTtXbdu2rbStuRzTH/axuR5Pb29vZWVlKS8vTxkZGdq7d29jN6ne/bCPu3bt0syZM7V37159/PHHOnLkiJ577rkGaQuBoB7U5jbNTdmZvnTq1El33HGHMjIy1LlzZ2uoqqCgQJ06dWrMJtab6vrV3I5x586d5e3trRYtWmjChAnWMHJT72dFRYXuuusujRo1Snfeeaek5ndMq+tjczyeZ7Rr106DBw/W9u3brdvUS5X7c3Zfz74VflNxpo/r169XUFCQvLy85OPjo/vuu6/BjieBoB7U5jbNTdXx48d17Ngx6/WGDRvUu3fvSredbk63iq6uXw6HQ2+++aaMMfroo4/k7+9vDUM3RWfPO65cudK6AqG624Y3BcYYjR8/Xj179tTDDz9srW9Ox7S6PjbH43n48GEdPXpUknTy5Elt3LhRPXv2rPY29dXdCv9iVlUfe/ToYR1PY4xWrVpV6Xh69Dtbr6coXsLWrFljunfvbiIiIszTTz/d2M2pN/v37zfR0dEmOjra9OrVy+rbd999Z4YMGWLsdrsZOnSoKSwsbOSWXrjk5GTTpUsXY7PZTHBwsHn99der7depU6fMpEmTTEREhOndu7f5+OOPG7n1tVdVP++55x7Tu3dv06dPH3PbbbeZgwcPWvs//fTTJiIiwvzsZz8za9eubcSWX5ht27YZSaZPnz6mb9++pm/fvmbNmjXN6phW18fmeDw/++wzExMTY/r06WOioqLM73//e2PM6f8mxcXFmW7dupnExERTWlpqjDHm5MmTJjEx0XTr1s3ExcWZ/fv3N2bza6W6Pg4ePNj07t3bREVFmVGjRllXInj6O8udCgEAAFMGAACAQAAAAEQgAAAAIhAAAAARCAAAgAgEAABABALgkpKamqo5c+bUavvChQt18ODB89Z59qNa+/Xrp+3bt9e6fFhYmL777rtz1m/dulUffvihtfzPf/5T/fr1k81ms25KU52tW7fq1ltvrXLb3LlzdeLECWv5xhtvtB49++CDD8rtdtdYN9CcEQgAVKm2gUCSZs+eraysLM2aNUsPPPDABZf/oR8Ggp/+9KdauHChRo4cWaf6zvhhIHj77bf12WefadeuXTp8+LCWL1/+o+oHmjICAdDMPfPMM/rZz36ma665Rl988YUkaf/+/brxxhvVv39/DRw48JyHxqxYsUKZmZkaNWqUYmJidPLkSf3hD39QXFycevfurZSUlCofLXvttddq3759VZavzl/+8hf169dPffr00d69e5Wbm6tXXnlFf/7znxUTE6Nt27YpLCxM0dHRatGidv/JKikpUWJionr06KFRo0bJGKMXX3xRBw8e1ODBgzV48GBJsh5+5HK5VF5eftHf6hbwJAIB0Izt3LlTTqdTWVlZWrt2rT7++GNJUkpKiv7yl79o586dmjNnjiZNmlSpXGJiomJjY7V48WJlZWXpsssu05QpU/Txxx9r165dOnnypN57771z3m/16tXq06dPleWr06FDB33yySeaOHGi5syZo7CwMD344IOaOnWqsrKyNHDgwAvu96effqq5c+dqz549+uqrr/Svf/1LDz30kC6//HJt2bJFW7ZssfZNSEhQp06d5Ofnp8TExAt+L6C5IBAAzdi2bdt0xx13qFWrVmrbtq0cDodKS0v14Ycfavjw4YqJidEDDzxQ6eE41dmyZYvi4+PVp08fbd68Wbt377a2PfbYY4qJidGCBQuUlpZ2QW0888S+/v37Kzc394LKVmfAgAEKCQlRixYtFBMTU2O977//vgoKClRWVqbNmzfXy/sDTZGtsRsAoGGdOnVK7dq1U1ZWVq3LlJaWatKkScrMzFRoaKhSU1NVWlpqbZ89e3ad/3Xt4+Mj6fRz4c881vbHOlNnbev19fXV7bffrvT0dA0bNqxe2gA0NYwQAM3Ytddeq1WrVunkyZM6duyYVq9erVatWik8PNw6gc4Yo88+++ycsn5+ftajr8/8+Hfo0EElJSXnPdP/h+Uv1I8pW9t6S0pKrJERl8ulNWvWqEePHvX+nkBTQSAAmrF+/fopKSlJffv21U033aS4uDhJ0uLFi5WWlmZdcpeenn5O2bFjx+rBBx9UTEyMfHx8NGHCBPXu3VsJCQlWPTU5u3xNJxVW5bbbbtPKlSutkwo//vhjhYSEaPny5XrggQcUFRV1QfWdkZKSohtvvFGDBw/W8ePH5XA4FB0drZiYGHXq1EkPPvhgneoFmgMefwwAABghAAAAnFQIoAHccccdysnJqbTuueeeU0JCQp3r/PzzzzV69OhK63x8fLRjx4461wlcypgyAAAATBkAAAACAQAAEIEAAACIQAAAAEQgAAAAkv4/M/DEZcvpkxQAAAAASUVORK5CYII=\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "dist1 = training_data[training_data.y==0].Mass_H\n", + "dist2 = training_data[training_data.y==1].Mass_H\n", + "plt.hist(training_data[training_data.y==0].deltaPt_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=30, range=(0,350), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaPt_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=30, range=(0,350), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaPt_ht1_ht3')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "5682880c", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'DataFrame' object has no attribute 'Eta_htop'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [111], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(figsize \u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m,\u001b[38;5;241m7\u001b[39m), dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m72\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mEta_htop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m4\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mwrong\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 3\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m1\u001b[39m]\u001b[38;5;241m.\u001b[39mEta_htop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m4\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mcorrect\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 4\u001b[0m plt\u001b[38;5;241m.\u001b[39mylabel(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mEvents\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", + "File \u001b[0;32m/work/dvalsecc/miniconda3/envs/coffea4/lib/python3.10/site-packages/pandas/core/generic.py:5575\u001b[0m, in \u001b[0;36mNDFrame.__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 5568\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[1;32m 5569\u001b[0m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_internal_names_set\n\u001b[1;32m 5570\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_metadata\n\u001b[1;32m 5571\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_accessors\n\u001b[1;32m 5572\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_info_axis\u001b[38;5;241m.\u001b[39m_can_hold_identifiers_and_holds_name(name)\n\u001b[1;32m 5573\u001b[0m ):\n\u001b[1;32m 5574\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m[name]\n\u001b[0;32m-> 5575\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mobject\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__getattribute__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'Eta_htop'" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Eta_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(-4,4), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Eta_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(-4,4), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Eta_htop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "id": "9acf89d2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfEAAAHCCAYAAAD/3PB+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAAsTAAALEwEAmpwYAAA4Q0lEQVR4nO3deVyVZf7/8TeCiguiKKYCKYi5YEoKbqVYjdlQMTW5kC2aKVm0fKeZlt80Y2RmlmZqlg5mYqXSaOWSyldbbCoXwrJSW9BEAa1RG0WU9XD9/vDbmU4sHpUbuA+v5+Ph43Huc1/3fT7XfZA313Xuc99exhgjAABgOw1quwAAAHB+CHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihCH25KSknTbbbfVdhkA3OTl5aW9e/dKkiZNmqSnnnqqWvefkpKiK664olr3iXPjU9sFoO5o3ry58/Hp06fVuHFjeXt7S5L+8Y9/1FZZNSYpKUl79+7VG2+8UdulANVuwYIFtV0CLMBIHE75+fnOfxdffLHWrl3rXL711ltru7xySktL3XrOUzgcjtouoUKefMxrEscR54MQxzkpLi7WHXfcIT8/P0VERCgjI8O57tChQ7r55psVGBio0NBQzZ07t9L9FBQU6M9//rM6duwof39/XXHFFSooKJAkrVmzRhEREWrZsqWGDh2qb775xrldp06d9Oyzz6pXr15q1qyZ9u7dKy8vLy1atEgXX3yxrrrqKknSq6++qu7du6tVq1YaPny4Dhw44NzH7t27NWzYMAUEBOiiiy7StGnTlJaWpmnTpunNN99U8+bN1bt373I1P/vssxoxYoTLcw8++KAeeOABSWemFsPCwuTn56fQ0FAtXbq03D4KCwvVpEkTHT16VJL09NNPy8fHR3l5eZKkv//97/qf//kfSdK4ceN0zz33KDY2Vs2aNdOHH36ob775RkOHDlXLli0VERGhNWvWOPc9btw4JSYm6rrrrpOfn5/69++vffv2Oddv3LhRXbt2lb+/v+69917FxMTolVdeqfD9SUpK0ogRIzR69Gj5+fmpT58++vLLLyt9H0pLSyt938523E6cOKG77rpL7du3V1BQkP72t785/2D5Zbr2L3/5i1q1aqXQ0FBt2LDBuZ/Fixere/fu8vPzU1hYmMuM0ebNmxUcHKznn39ebdu2Vfv27bV48WLn+qp+Brdt26ZBgwapZcuW6t27tzZv3lzhcfrlWMycOVO9evWSv7+/Ro8ercLCQuf6hQsXKjw8XAEBAYqLi9OhQ4ec67y8vPTSSy+pS5cu6tKli7Pm5557zlnzqlWrtH79el1yySUKCAjQtGnTnNunp6dr4MCBatmypdq3b6/77rtPxcXFFdY5btw4/e1vf5Mk3XDDDWrevLnzX4MGDZSSkiJJ+vbbb53/P7p27ap//vOfzn0cO3ZMcXFxatGihfr16+fy84VaYoAKdOzY0WzatMnluSeeeMI0btzYrFu3zpSWlprHHnvM9O/f3xhjjMPhMH369DFPPvmkKSoqMvv27TOhoaEmLS2twv3fe++9JiYmxuTk5JjS0lLz6aefmsLCQvPdd9+Zpk2bmo0bN5ri4mLz7LPPms6dO5uioiJnXb179zYHDx40p0+fNvv37zeSzO23327y8/PN6dOnzapVq0znzp3Nnj17TElJiXnqqafMwIEDjTHG5OXlmXbt2pmZM2eagoICk5eXZ7Zt2+bs36233lrpMcnKyjJNmjQxeXl5xhhjSktLTbt27czWrVtNfn6+8fPzM99++60xxphDhw6ZXbt2VbifwYMHm5UrVxpjjBk2bJgJCwsz69evd657++23jTHGjB071rRo0cJ88sknxuFwmLy8PNO5c2fz9NNPm6KiIvP++++b5s2bO19z7NixJiAgwGzfvt2UlJSYMWPGmNGjRxtjjDly5Ijx8/Mzb731likpKTGzZ882Pj4+ZuHChRXW+MQTTxgfHx+zYsUKU1xcbGbMmGE6depkiouLK3wfqnrfqjpuxhhz4403moSEBJOfn29++uknEx0dbRYsWGCMMWbx4sXGx8fHJCcnm9LSUvPyyy+b9u3bm7KyMmOMMe+++67Zu3evKSsrM5s3bzZNmjQxO3bsMMYY8+GHHxpvb2/z97//3RQXF5t169aZJk2amJ9//rnKn8GcnBwTEBBg1q1bZxwOh9m4caMJCAgw//73vys8Vh07djTR0dEmNzfXHDt2zHTr1s3Mnz/fGGPM+++/b1q3bm127NhhCgsLzX333WcGDx7s3FaS+d3vfmeOHTtmTp8+7az5ySefNMXFxSY5Odm0adPG3HLLLSYvL8/s2rXL+Pr6mh9++MEYY0xGRobZunWrKSkpMfv37zfdunUzL7zwgsv+MzMznT8fjz/+eLn6169fb9q3b28OHjxo8vPzTXBwsHn11VdNSUmJ+fzzz03r1q3N7t27jTHGjB492owcOdLk5+ebr7/+2nTo0MFcfvnlFR4X1AxCHBWqLMSvvvpq5/Lu3buNr6+vMcaYbdu2mZCQEJf206ZNM+PGjSu3b4fDYXx9fc3OnTvLrZsyZYoZOXKkS9sOHTqYDz/80FnXokWLnOt/CfF9+/Y5n7v22mvNK6+84rKPJk2amKysLLNs2TITGRlZYZ/PFuLGGHP55ZebJUuWGGOM2bhxowkLCzPGGJOfn2/8/f3NypUrzenTp6vcx9/+9jdz//33m5KSEnPRRReZ2bNnm0cffdQUFBQYX19fc/ToUWPMmV+6t99+u3O7f/3rX+aiiy4yDofD+Vx8fLx54oknnO3vuusu57p169aZrl27GmOMWbJkiRkwYIBzXVlZmQkODq4yxH/5A82YM8ewXbt25l//+pcxpvz7cLb3rbLj9uOPP5pGjRq5HLNly5aZoUOHGmPOhHjnzp2d606dOmUkmcOHD1dY9x/+8Acze/ZsY8yZEPf19TUlJSXO9YGBgWbr1q1V/gxOnz7d3HbbbS7PXXPNNSYlJaXC1+zYsaN5/fXXncsPP/ywufvuu40xxowfP948/PDDznUnT540Pj4+Zv/+/caYMyH7/vvvO9f/UnNpaakx5swfnZKcf2gaY0yfPn3MO++8U2EtL7zwgrnxxhudy2cL8e+++84EBgaajz/+2BhjTGpqqrniiitc2iQkJJikpCRTWlpqfHx8zDfffONc9//+3/8jxGsZ0+k4J+3atXM+btq0qQoLC1VaWqoDBw7o0KFDatmypfPftGnT9NNPP5Xbx9GjR1VYWKjOnTuXW3fo0CF17NjRudygQQOFhIQoNzfX+VxISEi57X793IEDB/Tggw866wgICJAxRrm5ucrOzq7wdd01ZswYLV++XJK0bNkyjRkzRpLUrFkzvfnmm1qwYIHat2+v6667Tt9++22F+4iJidHmzZv1+eef69JLL9WwYcP00Ucfadu2bQoPD1fr1q0r7NehQ4cUEhKiBg3++9+2Y8eOLsfmt+9Pfn6+y7a/8PLyUnBwcJV9/XX7Bg0aKDg42GUq+Le1VfW+VXbcDhw4oJKSErVv3975ft19993697//XWmfJDn7tWHDBg0YMEABAQFq2bKl1q9f7/yoQpJat24tHx8fl+3z8/Or/Bk8cOCAVqxY4fKz/Mknn+jw4cOVHquqjvuvj0vz5s3VunXrKn+eW7du7TyhtEmTJpKkiy66yLm+SZMmzv1///33uv7669WuXTu1aNFCf/3rX136X5UTJ07oD3/4g6ZOneo8w/zAgQPavn27S9+XLl2qH3/8UUeOHFFpaalLvb/uG2oHIY5qERISotDQUB0/ftz57+TJk1q/fn25tm3atJGvr2+Fn6d16NDB5fNrY4yys7MVFBTkfM7Ly6vcdr9+LiQkRP/4xz9caikoKNCgQYMUEhKiH374ocI+VLTf3xo5cqQ2b96snJwcvfPOO84wkqThw4dr06ZNOnz4sLp166aJEydWuI9Bgwbpu+++0zvvvKOYmBj16NFDBw8e1Pr16xUTE1NpTR06dFB2drbKysqczx08eNDl2FSmffv2ysnJcS4bY1yWK5Kdne18XFZWppycHHXo0KHS2qp63yo7biEhIWrcuLGOHj3qfK/y8vK0e/fus/apqKhIN998s/7yl7/op59+0vHjxxUbGyvjxo0Zq/oZDAkJ0e233+7y83Pq1Ck99thjZ93vb/32uJw6dUrHjh0768+zu+655x5169ZNmZmZysvL07Rp09zqf1lZmcaMGaMrr7xSCQkJzudDQkIUExPj0vf8/HzNnz9fgYGB8vHxcfm5OHjw4HnXjupBiKNa9OvXT35+fnr22WdVUFAgh8OhXbt26bPPPivXtkGDBho/frweeughHTp0SA6HQ1u3blVRUZFGjRqldevW6f3331dJSYmef/55NW7cWIMGDXK7lkmTJumZZ55xBsGJEye0YsUKSdL111+vw4cPa/bs2SoqKtLJkye1fft2SWdGO1lZWS4h+VuBgYEaOnSo7rzzToWGhqp79+6SpJ9++kmrV6/WqVOn1LhxY+fJQhVp2rSp+vbtq5deeskZ2oMGDdKCBQvKhfiv9e/fX02bNtVzzz2nkpISbd68WWvXrlV8fPxZj8l1112nr7/+WqtWrVJpaaleeukl/fjjj1Vus2PHDr399tsqLS3V7Nmz1bhxYw0YMKDCtmd73yo7bu3bt9c111yjP//5z8rLy1NZWZn27dunjz766Kx9Ki4uVlFRkTNcNmzYoI0bN551O6nqn8HbbrtNa9eu1f/+7//K4XCosLDQ+QfIubrlllu0ePFi7dy5U0VFRfrrX/+q/v37q1OnTue8r4qcPHlSLVq0UPPmzfXtt99q/vz5bm33+OOP69SpU5ozZ47L89dff72+//57vf766yopKVFJSYk+++wzffPNN/L29tYf//hHJSUl6fTp09qzZ4+WLFlSLf3A+SPEUS28vb317rvvaufOnQoNDVWbNm00YcIEnThxosL2M2fO1KWXXqro6GgFBATo0UcfVVlZmbp27ao33nhD999/v9q0aaO1a9dq7dq1atSokdu13HTTTXr00UcVHx+vFi1aqGfPns4zmv38/LRp0yatXbtW7dq1U5cuXfThhx9KOjNalM5MZ/bp06fS/Y8ZM0bvvfeeyyi8rKxMs2bNUocOHRQQEKCPPvqoyl+oMTExKikpUb9+/ZzLJ0+e1JAhQyrdplGjRlq7dq02bNigNm3a6N5779Vrr72mbt26nfWYtGnTRitWrNAjjzyi1q1ba8+ePYqKilLjxo0r3eYPf/iD3nzzTbVq1Uqvv/663n77bTVs2LDCtu68bxUdN0l67bXXVFxcrB49eqhVq1YaMWJElVPXv/Dz89PcuXM1atQotWrVSsuWLVNcXNxZt/tFZT+DISEhWr16taZNm6bAwECFhIRoxowZVf5xV5nf/e53euqpp3TzzTerffv22rdvn1JTU895P1X1YdmyZfLz89PEiRM1evRot7Zbvny5tm3bplatWjnPUF+6dKn8/Py0ceNGpaamqkOHDmrXrp0effRRFRUVSZLmzZun/Px8tWvXTuPGjdOdd95ZbX3B+fEy7sy9APAoZWVlCg4O1tKlS3XllVeWW8+FbwB7YCQO1BP/+7//q+PHj6uoqMj52Wll0+MA7IEQB+qJrVu3qnPnzs7p7lWrVjnPfgZgT0ynAwBgU4zEAQCwKUIcAACbst2tSNu0aVNt37EEAKCuy8rKqvRKfLYL8U6dOrncOQsAAE8WFRVV6Tqm0wEAsClCHAAAmyLEAQCwKdt9Jg4AsL+SkhLl5OSosLCwtkupM3x9fRUcHFzpPQoqQogDAGpcTk6O/Pz81KlTpwu6HaunMMbo2LFjysnJUWhoqNvbMZ0OAKhxhYWFat26NQH+f7y8vNS6detznpkgxAEAtYIAd3U+x4PpdABArer02DrL9p01/TrL9l0XMBIHAKAKDoejtkuoFCEOAKh3ZsyYoblz50qS/vSnP+mqq66SJH3wwQe69dZb1bx5c/35z39W7969tXXrVs2aNUs9e/ZUz549NXv2bElnLofavXt3TZw4UREREbrmmmtUUFAgSfrss8/Uq1cvRUZG6uGHH1bPnj0t6QfT6QCAOqM6pr/dmZ4fPHiwnn/+eT3wwAPKyMhQUVGRSkpK9PHHH2vIkCFatmyZ+vfvr+eff147duzQ4sWLtX37dhlj1L9/f8XExKhVq1bKzMzU8uXLtXDhQo0aNUpvvfWWbrvtNt15551auHChBg4cqMcee+yC+1QZRuIAgHqnb9++2rFjh/Ly8tS4cWMNHDhQGRkZ+vjjjzV48GB5e3vr5ptvliR98sknuummm9SsWTM1b95cf/zjH/Xxxx9LkkJDQxUZGencZ1ZWlo4fP66TJ09q4MCBkqQxY8ZY1g9G4gCAeqdhw4YKDQ1VSkqKBg0apF69eunDDz/U3r171b17d/n6+srb2/us+2ncuLHzsbe3t3M6vaYwEgcA1EuDBw/WzJkzNWTIEA0ePFgLFizQZZddVu6rXoMHD9aqVat0+vRpnTp1Su+8844GDx5c6X5btmwpPz8/bd++XZKUmppqWR8YiQMA6gwrv272W4MHD9bTTz+tgQMHqlmzZvL19a0wnPv06aNx48apX79+kqQJEybosssuU1ZWVqX7XrRokSZOnKgGDRooJiZG/v7+lvTByxhjLNmzRaKiorifOADY3DfffKPu3btLqoHviR/64sJ31OGyc2qen5+v5s2bS5KmT5+uw4cPa86cOWfd7tfH5RdV5R4jcQAAqtm6dev0zDPPqLS0VB07dlRKSoolr0OIAwBqlSdeVW306NEaPXq05a9DiAMA6o9zmRavjml4i3F2OgAANkWIAwBgU4Q4AAA2Zeln4mlpaXrwwQflcDg0YcKEctePPXjwoMaOHavjx4/L4XBo+vTpio2NtbIkAEBdk2TNd6jP7PuEdfs+D8ePH9eyZct07733Vsv+LBuJOxwOJSYmasOGDdqzZ4+WL1+uPXv2uLSZOnWqRo0apS+++EKpqanV1ikAAKxQWlpa5fLZHD9+XC+//HK11WPZSDw9PV3h4eEKCwuTJMXHx2v16tXq0aOHs42Xl5fy8vIkSSdOnFCHDh2sKgcAABevvfaaZs6cKS8vL/Xq1UtPPfWUxo8fr6NHjyowMFCLp/9ZFwe117j/eUK+AR30xRdf6PLLL9fPP/8sX19f53JiYqISExN15MgRNW3aVAsXLlS3bt30008/adKkSfrhhx8kSfPnz9fcuXO1b98+RUZGatiwYZoxY8YF9cGyEM/NzVVISIhzOTg42Hkd2V8kJSXpmmuu0YsvvqhTp07pvffes6ocAIAdVMf0txvT87t379bUqVO1ZcsWtWnTRj///LPGjh3r/Pfqq6/qgb/P0KpXZ0mScnJytGXLFnl7e2vcuHEuy1dffbUWLFigLl26aPv27br33nv1wQcf6IEHHlBMTIzeeecdORwO5efna/r06dq1a5d27tx54f1ULZ/Ytnz5cufBWL9+vW6//XaVlZWVa5ecnKyoqChFRUXpyJEjtVApAMCTfPDBBxo5cqTatGkjSQoICNDWrVudtw29/fbb9Un6Tmf7kSNHutzV7Jfl/Px8bdmyRSNHjlRkZKTuvvtuHT582Pka99xzj6Qzdziz4vrplo3Eg4KClJ2d7VzOyclRUFCQS5tFixYpLS1NkjRw4EAVFhbq6NGjatu2rUu7hIQEJSQkSDpzDVkAAGpSs2bNKlwuKytTy5Ytq21kfa4sG4lHR0crMzNT+/fvV3FxsVJTUxUXF+fS5uKLL9b7778v6cxF3wsLCxUYGGhVSQAASJKuuuoqrVixQseOHZMk/fzzzxo0aJDztqFLly7V4P5nv7pbixYtFBoaqhUrVkiSjDH68ssvJUlXX3215s+fL+nMyd4nTpyQn5+fTp48WW39sGwk7uPjo3nz5mn48OFyOBwaP368IiIiNHnyZEVFRSkuLk7PP/+8Jk6cqBdeeEFeXl5KSUkpdx9XAEA9YuXXzX4lIiJCjz/+uGJiYuTt7a3LLrtML774ou68807NmDHj/05s+4tb+1q6dKnuueceTZ06VSUlJYqPj1fv3r01Z84cJSQkaNGiRfL29tb8+fM1cOBAXX755erZs6d+//vfX/CJbdyKFABQ41xuuWn198R/fQ308712+jneivR8neutSLliGwAANsVdzAAAtauOXVXNThiJAwBgU4Q4AKBW2OyULMudz/EgxAEANc7X11fHjh0jyP+PMUbHjh2Tr6/vOW3HZ+IAgBoXHBysnJycmrkK5/F///fxiW+s3+48+fr6Kjg4+Jy2IcQBADWuYcOGCg0NrZkXSxrwq8fncBLd+W5Xg5hOBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIqvmAEA7KOGblVqF4zEAQCwKUIcAACbYjodAGBPdfQqajWJkTgAADZFiAMAYFOEOAAANkWIAwBgU4Q4AAA2RYgDAGBThDgAADZFiAMAYFOEOAAANkWIAwBgU4Q4AAA2RYgDAGBThDgAADZFiAMAYFOEOAAANkWIAwBgU4Q4AAA2RYgDAGBThDgAADZlaYinpaWpa9euCg8P1/Tp08ut/9Of/qTIyEhFRkbqkksuUcuWLa0sBwAAj+Jj1Y4dDocSExO1adMmBQcHKzo6WnFxcerRo4ezzQsvvOB8/OKLL+qLL76wqhwAADyOZSPx9PR0hYeHKywsTI0aNVJ8fLxWr15dafvly5frlltusaocAAA8jmUj8dzcXIWEhDiXg4ODtX379grbHjhwQPv379dVV11lVTkAgLokyb+2K/AIloX4uUhNTdWIESPk7e1d4frk5GQlJydLko4cOVKTpQEAUGdZNp0eFBSk7Oxs53JOTo6CgoIqbJuamlrlVHpCQoIyMjKUkZGhwMDAaq8VAAA7smwkHh0drczMTO3fv19BQUFKTU3VsmXLyrX79ttv9Z///EcDBw60qhQAQF2WdKK2K7Aty0biPj4+mjdvnoYPH67u3btr1KhRioiI0OTJk7VmzRpnu9TUVMXHx8vLy8uqUgAA8EhexhhT20Wci6ioKGVkZNR2GQCAC/HrE9vq6ki8jtRYVe5xxTYAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmfGq7AACAzSX513YF9RYjcQAAbIoQBwDApphOBwBUn6QTtV1BvcJIHAAAmyLEAQCwKUIcAACbIsQBALApQhwAAJvi7HQAgEfr9Ni689ouy7eaC7EAI3EAAGyKEAcAwKYsnU5PS0vTgw8+KIfDoQkTJuixxx4r1+af//ynkpKS5OXlpd69e2vZsmVWlgQAqMeypl/nfuMky8qoNpaFuMPhUGJiojZt2qTg4GBFR0crLi5OPXr0cLbJzMzUM888o08//VStWrXSv//9b6vKAQDA41g2nZ6enq7w8HCFhYWpUaNGio+P1+rVq13aLFy4UImJiWrVqpUkqW3btlaVAwCAx7EsxHNzcxUSEuJcDg4OVm5urkub77//Xt9//70uv/xyDRgwQGlpaVaVAwCAx6nVr5iVlpYqMzNTmzdvVk5OjoYMGaKvv/5aLVu2dGmXnJys5ORkSdKRI0dqoVIAQF1wvl8X81SWjcSDgoKUnZ3tXM7JyVFQUJBLm+DgYMXFxalhw4YKDQ3VJZdcoszMzHL7SkhIUEZGhjIyMhQYGGhVyQAA2IplIR4dHa3MzEzt379fxcXFSk1NVVxcnEubG2+8UZs3b5YkHT16VN9//73CwsKsKgkAAI9i2XS6j4+P5s2bp+HDh8vhcGj8+PGKiIjQ5MmTFRUVpbi4OA0fPlwbN25Ujx495O3trRkzZqh169ZWlQQA8CDn9HUxD2XpZ+KxsbGKjY11eW7KlCnOx15eXpo1a5ZmzZplZRkAAHgkrtgGAIBNEeIAANgUdzEDAJyR5F/bFeAcMRIHAMCmCHEAAGyK6XQAQHlJJ2q7AriBkTgAADZFiAMAYFNMpwMAahw3MqkejMQBALApQhwAAJtiOh0AUKu4kcn5YyQOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE1xP3EAwAXp9Ni62i6h3mIkDgCATRHiAADYFNPpAIBqkzX9utouoV5hJA4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNWRriaWlp6tq1q8LDwzV9+vRy61NSUhQYGKjIyEhFRkbqlVdesbIcAAA8imVfMXM4HEpMTNSmTZsUHBys6OhoxcXFqUePHi7tRo8erXnz5llVBgAAHsuyEE9PT1d4eLjCwsIkSfHx8Vq9enW5EAcAVLMk/9quADXEsun03NxchYSEOJeDg4OVm5tbrt1bb72lXr16acSIEcrOzraqHAAAPE6tnth2ww03KCsrS1999ZWGDRumsWPHVtguOTlZUVFRioqK0pEjR2q4SgAA6ibLptODgoJcRtY5OTkKCgpyadO6dWvn4wkTJuiRRx6pcF8JCQlKSEiQJEVFRVlQLQB4qKQTtV0BLGTZSDw6OlqZmZnav3+/iouLlZqaqri4OJc2hw8fdj5es2aNunfvblU5AAB4HMtG4j4+Ppo3b56GDx8uh8Oh8ePHKyIiQpMnT1ZUVJTi4uI0d+5crVmzRj4+PgoICFBKSopV5QAAzoL7gtuPpXcxi42NVWxsrMtzU6ZMcT5+5pln9Mwzz1hZAgAAHosrtgEAYFPcTxwAUA73BbcHRuIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2NQ5h/h//vMfffXVV1bUAgAAzoFbIT506FDl5eXp559/Vp8+fTRx4kQ99NBDVtcGAACq4FaInzhxQi1atNDbb7+tO+64Q9u3b9d7771ndW0AAKAKboV4aWmpDh8+rH/+85+6/vrrra4JAAC4wa27mD3xxBMaPny4rrjiCkVHR+uHH35Qly5drK4NAJDkf0Gbd3psXTUVgrrIrRBv3769y8lsYWFhfCYOAEAtc2s6/f7773frOQAAUHOqHIlv3bpVW7Zs0ZEjRzRr1izn83l5eXI4HJYXBwD4laQTbjX79RR61vTrrKoGdUCVIV5cXKz8/HyVlpbq5MmTzudbtGihlStXWl4cAACoXJUhHhMTo5iYGI0bN04dO3asqZoAAIAb3DqxraioSAkJCcrKylJpaanz+Q8++MCywgAAQNXcCvGRI0dq0qRJmjBhgry9va2uCQAAuMGtEPfx8dE999xjdS0AAOAcuPUVsxtuuEEvv/yyDh8+rJ9//tn5DwAA1B63RuJLliyRJM2YMcP5nJeXl3744QdrqgIAAGflVojv37/f6joAAMA5cms6/fTp05o6daoSEhIkSZmZmXr33XctLQwAAFTNrZH4nXfeqb59+2rLli2SpKCgII0cOZI7mgGAuy7wRiYSNzNBeW6NxPft26dHHnlEDRs2lCQ1bdpUxhhLCwMAAFVzK8QbNWqkgoICeXl5SToT6o0bN7a0MAAAUDW3ptOTkpJ07bXXKjs7W7feeqs+/fRTpaSkWFwaAHgoN29kInEzE1TNrRC/5ppr1LdvX23btk3GGM2ZM0dt2rSxujYAAFAFt0L8hhtu0JgxYxQXF6dmzZpZXRMAAHCDW5+J/+Uvf9HHH3+sHj16aMSIEVq5cqUKCwutrg0AAFTBrZH4L7ckdTgc+uCDD7Rw4UKNHz9eeXl5VtcHAAAq4dZIXJIKCgr01ltvacGCBfrss880duzYs26Tlpamrl27Kjw8XNOnT6+03VtvvSUvLy9lZGS4Ww4AAPWeWyPxUaNGKT09Xddee63uu+8+xcTEqEGDqvPf4XAoMTFRmzZtUnBwsKKjoxUXF6cePXq4tDt58qTmzJmj/v37n38vAACoh9waid91113at2+fFixYoCuvvPKsAS5J6enpCg8PV1hYmBo1aqT4+HitXr26XLu///3vevTRR+Xr63vu1QMAUI9VmcbPPfecJGn48OF6++23Xdb99a9/rXLHubm5CgkJcS4HBwcrNzfXpc3nn3+u7OxsXXcd330EAOBcVRniqampzsfPPPOMy7q0tLQLeuGysjI99NBDev7558/aNjk5WVFRUYqKitKRI0cu6HUBAPAUVYb4r6+P/ttrpZ/t2ulBQUHKzs52Lufk5CgoKMi5fPLkSe3atUtDhw5Vp06dtG3bNsXFxVV4cltCQoIyMjKUkZGhwMDAqnsEAEA9UWWI/3Kt9N8+rmj5t6Kjo5WZman9+/eruLhYqampiouLc6739/fX0aNHlZWVpaysLA0YMEBr1qxRVFTU+fQDAIB6p8qz07/88ku1aNFCxhgVFBSoRYsWks6Mws92sRcfHx/NmzdPw4cPl8Ph0Pjx4xUREaHJkycrKirKJdABoD7hlqKoLlWGuMPhuKCdx8bGKjY21uW5KVOmVNh28+bNF/RaAADUN25f7AUAANQtbl3sBQBQfbilKKoLIQ4AwNkk+Z/HNu7fN/58MZ0OAIBNEeIAANgU0+kAAFSgU+Ey52O3z2M4n2n3C8BIHAAAmyLEAQCwKUIcAACbIsQBALApTmwDgHN0Ptc+z/K1oBDUe4zEAQCwKUIcAACbYjodAM5Rlu+Y2i4BkMRIHAAA2yLEAQCwKabTAeBC1MCdqoDKMBIHAMCmCHEAAGyKEAcAwKb4TBxAvXU+V16TuPoa6g5G4gAA2BQhDgCATTGdDgCSsqZf537jJMvKAM4JI3EAAGyKEAcAwKYIcQAAbIrPxAHUWy53I0uqtTKA88ZIHAAAmyLEAQCwKabTAUDibmSwJUIcgEc4n0uocvlU2B3T6QAA2BQhDgCATTGdDsDjuH0J1SRLywAsx0gcAACbsjTE09LS1LVrV4WHh2v69Onl1i9YsECXXnqpIiMjdcUVV2jPnj1WlgMAgEexLMQdDocSExO1YcMG7dmzR8uXLy8X0mPGjNHXX3+tnTt36pFHHtFDDz1kVTkAAHgcy0I8PT1d4eHhCgsLU6NGjRQfH6/Vq1e7tGnRooXz8alTp+Tl5WVVOQAAeBzLTmzLzc1VSEiIczk4OFjbt28v1+6ll17SrFmzVFxcrA8++MCqcgAA8Di1fmJbYmKi9u3bp2effVZTp06tsE1ycrKioqIUFRWlI0eO1HCFAADUTZaFeFBQkLKzs53LOTk5CgoKqrR9fHy8Vq1aVeG6hIQEZWRkKCMjQ4GBgdVdKgAAtmTZdHp0dLQyMzO1f/9+BQUFKTU1VcuWLXNpk5mZqS5dukiS1q1b53wMoP46n8unStxWFPWTZSHu4+OjefPmafjw4XI4HBo/frwiIiI0efJkRUVFKS4uTvPmzdN7772nhg0bqlWrVlqyZIlV5QAA4HEsvWJbbGysYmNjXZ6bMmWK8/GcOXOsfHkAADwal10FUGe5fflUyXUKnduKop4gxAEAOAt3z9Wo6dvbEuIA6hROUAPcV+vfEwcAAOeHkTgAy5zP18VqejoSqMw5nZPxi6RqL6NKhDiAuosT1IAqMZ0OAIBNMRIHUCPcnppMsrQMwKMwEgcAwKYYiQM4q/O9njkAaxHiACzDd74BazGdDgCATTESB3BOzvt65gCqHSEOoGbwnW+g2jGdDgCATTESB+oZzjQHPAcjcQAAbIoQBwDApphOB+qx87pLE4A6g5E4AAA2xUgcsClOUAPASBwAAJsixAEAsCmm0wEPYPkJakn+1u4fwHkhxIE6gM+3AZwPptMBALApRuIAzg03MgHqDEIcqGO4AAsAdzGdDgCATTESB6oRJ6gBqEmEOFAJAhlAXcd0OgAANsVIHLBInT1BjQu3AB6DEAfcUGcDGUC9RojD4/HZNgBPRYjDVgjkasaFWwBbs/TEtrS0NHXt2lXh4eGaPn16ufWzZs1Sjx491KtXL1199dU6cOCAleUAAOBRLBuJOxwOJSYmatOmTQoODlZ0dLTi4uLUo0cPZ5vLLrtMGRkZatq0qebPn69HHnlEb775plUloQ6prRE1n20D8CSWhXh6errCw8MVFhYmSYqPj9fq1atdQvzKK690Ph4wYIDeeOMNq8qBByKQAdR3loV4bm6uQkJCnMvBwcHavn17pe0XLVqk3//+91aVAzfweTMA2EudOLHtjTfeUEZGhj766KMK1ycnJys5OVmSdOTIkZosDTWAETUAnB/LQjwoKEjZ2dnO5ZycHAUFBZVr99577+npp5/WRx99pMaNG1e4r4SEBCUkJEiSoqKirCn4HFzoiPVcQovRMSrFRVuAes+yEI+OjlZmZqb279+voKAgpaamatmyZS5tvvjiC919991KS0tT27ZtrSqlUrUVkHYIZkbHAFD3WfYVMx8fH82bN0/Dhw9X9+7dNWrUKEVERGjy5Mlas2aNJOnhhx9Wfn6+Ro4cqcjISMXFxVlVDgAAHsfSz8RjY2MVGxvr8tyUKVOcj9977z0rX75GuDtirY7RN6NjVIqLtgD1Up04sa0usDogCWAAQHUjxIHqVB0nmzGqBuAm7icOAIBNEeIAANgU0+mAVc5lWpzvfAM4D4zEAQCwKUbiQF3DqByAmwhxoDKEKYA6jul0AABsipE4UBfw3XAA54EQB9xByAKog5hOBwDAphiJw/NxghoAD0WIw14IZABwYjodAACbYiSO+oUT1AB4EEIcF+5Cp7jPN1gJZAD1HCGO2sfn3ABwXvhMHAAAm2Ikjurl7hQ3o28AuGCEeF1XW583W62u1gUANsJ0OgAANsVI/Hx46ugYAGArhHhtON8/Avi8GQDwK4Q4/ovwBwBbIcQvFKNjAEAtIcRrSm19Ds4fDwDgsep1iGf5jvnvQlKtlVE3cfIdANR5fMUMAACbqtcjcY/FKBoA6gVC/BcEHwDAZphOBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYsDfG0tDR17dpV4eHhmj59ern1//rXv9SnTx/5+Pho5cqVVpYCAIDHsSzEHQ6HEhMTtWHDBu3Zs0fLly/Xnj17XNpcfPHFSklJ0ZgxYyrZCwAAqIxl3xNPT09XeHi4wsLCJEnx8fFavXq1evTo4WzTqVMnSVKDBszqAwBwrixLz9zcXIWEhDiXg4ODlZuba9XLAQBQ79jiim3JyclKTk6WJB05cqSWqwEAoG6wbCQeFBSk7Oxs53JOTo6CgoLOa18JCQnKyMhQRkaGAgMDq6tEAABszbIQj46OVmZmpvbv36/i4mKlpqYqLi7OqpcDAKDesSzEfXx8NG/ePA0fPlzdu3fXqFGjFBERocmTJ2vNmjWSpM8++0zBwcFasWKF7r77bkVERFhVDgAAHsfSz8RjY2MVGxvr8tyUKVOcj6Ojo5WTk2NlCQAAeCy+2wUAgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANiUpSGelpamrl27Kjw8XNOnTy+3vqioSKNHj1Z4eLj69++vrKwsK8sBAMCjWBbiDodDiYmJ2rBhg/bs2aPly5drz549Lm0WLVqkVq1aae/evfrTn/6kRx991KpyAADwOJaFeHp6usLDwxUWFqZGjRopPj5eq1evdmmzevVqjR07VpI0YsQIvf/++zLGWFUSAAAexbIQz83NVUhIiHM5ODhYubm5lbbx8fGRv7+/jh07ZlVJAAB4FJ/aLsAdycnJSk5OliR9++23ioqKqqY9d9GRI0cUGBgovVtd+7QXZ//rofrcd6l+95++18++SzXR/y7/fVhNuVLV+WKWhXhQUJCys7Odyzk5OQoKCqqwTXBwsEpLS3XixAm1bt263L4SEhKUkJBgSZ1RUVHKyMiwZN92UJ/7X5/7LtXv/tP3+tl3yfP6b9l0enR0tDIzM7V//34VFxcrNTVVcXFxLm3i4uK0ZMkSSdLKlSt11VVXycvLy6qSAADwKJaNxH18fDRv3jwNHz5cDodD48ePV0REhCZPnqyoqCjFxcXprrvu0u23367w8HAFBAQoNTXVqnIAAPA4ln4mHhsbq9jYWJfnpkyZ4nzs6+urFStWWFnCWVk1TW8X9bn/9bnvUv3uP32vvzyt/16G73QBAGBLXHYVAACbqjchXp8vAXu2vqekpCgwMFCRkZGKjIzUK6+8UgtVWmP8+PFq27atevbsWeF6Y4weeOABhYeHq1evXvr8889ruEJrna3/mzdvlr+/v/O9//XHXXaXnZ2tK6+8Uj169FBERITmzJlTro2nvv/u9N2T3/vCwkL169dPvXv3VkREhJ544olybTzmd76pB0pLS01YWJjZt2+fKSoqMr169TK7d+92afPSSy+Zu+++2xhjzPLly82oUaNqo9Rq507fFy9ebBITE2upQmt99NFHZseOHSYiIqLC9evWrTPXXnutKSsrM1u3bjX9+vWr4Qqtdbb+f/jhh+a6666r4apqxqFDh8yOHTuMMcbk5eWZLl26lPvZ99T3352+e/J7X1ZWZk6ePGmMMaa4uNj069fPbN261aWNp/zOrxcj8fp8CVh3+u7JhgwZooCAgErXr169WnfccYe8vLw0YMAAHT9+XIcPH67BCq11tv57svbt26tPnz6SJD8/P3Xv3r3cVSM99f13p++ezMvLS82bN5cklZSUqKSkpNzXlz3ld369CPH6fAlYd/ouSW+99ZZ69eqlESNGuFykx9O5e3w82datW9W7d2/9/ve/1+7du2u7HEtkZWXpiy++UP/+/V2erw/vf2V9lzz7vXc4HIqMjFTbtm01bNiwKt97O//OrxchjqrdcMMNysrK0ldffaVhw4Y5/zqF5+vTp48OHDigL7/8Uvfff79uvPHG2i6p2uXn5+vmm2/W7Nmz1aJFi9oup0ZV1XdPf++9vb21c+dO5eTkKD09Xbt27artkixRL0L8XC4BK6nKS8DajTt9b926tRo3bixJmjBhgnbs2FGjNdYmd46PJ2vRooVz2jE2NlYlJSU6evRoLVdVfUpKSnTzzTfr1ltv1R//+Mdy6z35/T9b3z39vf9Fy5YtdeWVVyotLc3leU/5nV8vQrw+XwLWnb7/+jPANWvWqHv37jVdZq2Ji4vTa6+9JmOMtm3bJn9/f7Vv3762y6oxP/74o/NzwPT0dJWVldnyF1lFjDG666671L17dz300EMVtvHU99+dvnvye3/kyBEdP35cklRQUKBNmzapW7duLm085Xe+Le5idqHq8yVg3en73LlztWbNGvn4+CggIEApKSm1XXa1ueWWW7R582YdPXpUwcHBevLJJ1VSUiJJmjRpkmJjY7V+/XqFh4eradOmWrx4cS1XXL3O1v+VK1dq/vz58vHxUZMmTZSammrLX2QV+fTTT/X666/r0ksvVWRkpCRp2rRpOnjwoCTPfv/d6bsnv/eHDx/W2LFj5XA4VFZWplGjRun666/3yN/5XLENAACbqhfT6QAAeCJCHAAAmyLEAQCwKUIcAACbIsQBALApQhwAAJsixIE6KikpSTNnznRrfUpKig4dOnTWfY4bN06hoaGKjIxUnz59tHXrVknS0KFDlZGRUa59RkaGHnjggUr3l5KSovvuu8/lucr29YtfrhL2W6tWrdKePXvO2gcA/0WIAx7A3RCXpBkzZmjnzp2aPn267r777irbRkVFae7cudVR4lkR4sC5I8SBOuTpp5/WJZdcoiuuuELfffedJGnfvn269tpr1bdvXw0ePFjffvutyzYrV65URkaGbr31VkVGRqqgoEBTpkxRdHS0evbsqYSEhApvsThkyBDt3bvXubxixQr169dPl1xyiT7++GNJ0ubNm3X99ddXez8ff/xx9e7dWwMGDNBPP/2kLVu2aM2aNXr44YcVGRmpffv2aefOnRowYIB69eqlm266Sf/5z38knRnpP/jgg4qMjFTPnj2Vnp5e7fUBdkGIA3XEjh07lJqaqp07d2r9+vX67LPPJEkJCQl68cUXtWPHDs2cOVP33nuvy3YjRoxQVFSUli5dqp07d6pJkya677779Nlnn2nXrl0qKCjQu+++W+711q5dq0svvdS5XFpaqvT0dM2ePVtPPvmk23W/+eabioyMdP6raipdkk6dOqUBAwboyy+/1JAhQ7Rw4UINGjRIcXFxzlmCzp0764477tCzzz6rr776SpdeeqlLTadPn9bOnTv18ssva/z48W7XCniaenHtdMAOPv74Y910001q2rSppDM3aCgsLNSWLVs0cuRIZ7uioqKz7uvDDz/Uc889p9OnT+vnn39WRESEbrjhBknSww8/rKlTpyowMFCLFi1ybvPLna769u2rrKwst+sePXq05s2b51weOnRole0bNWrkHN337dtXmzZtKtfmxIkTOn78uGJiYiRJY8eOdTkGt9xyi6Qzswl5eXk6fvy4WrZs6XbNgKcgxIE6rKysTC1bttTOnTvd3qawsFD33nuvMjIyFBISoqSkJBUWFjrXz5gxQyNGjCi33S+3o/X29lZpaekF116Zhg0bOm+0cb6v9dsbdXjKjTuAc8V0OlBHDBkyRKtWrVJBQYFOnjyptWvXqmnTpgoNDdWKFSsknbnF5JdfflluWz8/P508eVKSnIHdpk0b5efna+XKlTXXiQvw6z74+/urVatWzs/mX3/9deeoXDozhS9Jn3zyifz9/eXv71/zBQN1ACNxoI7o06ePRo8erd69e6tt27aKjo6WJC1dulT33HOPpk6dqpKSEsXHx6t3794u244bN06TJk1SkyZNtHXrVk2cOFE9e/ZUu3btnPup6+Lj4zVx4kTNnTtXK1eu1JIlSzRp0iSdPn1aYWFhLrcJ9fX11WWXXaaSkhK9+uqrtVg1ULu4FSkAWxk6dKhmzpypqKio2i4FqHVMpwMAYFOMxAGc1eLFizVnzhyX5y6//HK99NJLlW7Tv3//cmfSv/766y5fawNwYQhxAABsiul0AABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbOr/A71dR44mdlVQAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaPhi_H_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,3.2), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaPhi_H_htop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,3.2), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaPhi_H_htop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "0dc0e8eb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Mass_htop, histtype = \"step\", linewidth=3.0, bins=70, range=(0,650), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Mass_htop, histtype = \"step\", linewidth=3.0, bins=70, range=(0,650), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Mass_htop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.ylim(0, 0.03)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "id": "d2e3d0cc", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'DataFrame' object has no attribute 'deltaEta_ht1_ht3'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [120], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(figsize \u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m,\u001b[38;5;241m7\u001b[39m), dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m72\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_ht1_ht3, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mwrong\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 3\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m1\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_ht1_ht3, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mcorrect\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 4\u001b[0m plt\u001b[38;5;241m.\u001b[39mylabel(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mEvents\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", + "File \u001b[0;32m/work/dvalsecc/miniconda3/envs/coffea4/lib/python3.10/site-packages/pandas/core/generic.py:5575\u001b[0m, in \u001b[0;36mNDFrame.__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 5568\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[1;32m 5569\u001b[0m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_internal_names_set\n\u001b[1;32m 5570\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_metadata\n\u001b[1;32m 5571\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_accessors\n\u001b[1;32m 5572\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_info_axis\u001b[38;5;241m.\u001b[39m_can_hold_identifiers_and_holds_name(name)\n\u001b[1;32m 5573\u001b[0m ):\n\u001b[1;32m 5574\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m[name]\n\u001b[0;32m-> 5575\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mobject\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__getattribute__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'deltaEta_ht1_ht3'" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaEta_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaEta_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaEta_ht1_ht3')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "id": "73f2e374", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfEAAAHCCAYAAAD/3PB+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAAsTAAALEwEAmpwYAAA11ElEQVR4nO3deVxWZf7/8TdKggsuICYCKYgpYkoGrilaYxQqU5MLYzWaFZpUM1NZfmfKyMosrVHH0tFMW1QabRHTLCt1nFwIyxo1C00M0MplFFHWm+v3h7/ukUC8VQ5wbl7Px8PH4z73We7PdQ7y5rrOuc/xMMYYAQAA26lX0wUAAICLQ4gDAGBThDgAADZFiAMAYFOEOAAANkWIAwBgU4Q4XJacnKzbb7+9pssA4CIPDw/t3btXkjR+/Hg99dRTVbr9xYsX69prr63SbeLCeNZ0Aag9mjRp4nx9+vRpeXl5qX79+pKkf/zjHzVVVrVJTk7W3r179eabb9Z0KUCVmzdvXk2XAAvQE4dTXl6e898VV1yhVatWOadvu+22mi6vnJKSEpfecxcOh6OmS6iQO+/z6sR+xMUgxHFBioqK9Ic//EE+Pj6KiIhQenq6c97Bgwd16623yt/fXyEhIZo9e/Y5t5Ofn6+HHnpIbdu2VbNmzXTttdcqPz9fkpSamqqIiAg1b95cAwYM0DfffONcr127dnruuefUtWtXNW7cWHv37pWHh4cWLlyoK664Qtddd50k6dVXX1V4eLhatGih2NhYHThwwLmNXbt2adCgQfL19dXll1+uqVOnau3atZo6dareeustNWnSRN26dStX83PPPadhw4aVee+Pf/yjHnjgAUlnhhZDQ0Pl4+OjkJAQLVmypNw2CgoK1LBhQx05ckSS9Mwzz8jT01O5ubmSpMcff1x/+tOfJEljxozRvffeq7i4ODVu3Fjr16/XN998owEDBqh58+aKiIhQamqqc9tjxoxRUlKSBg8eLB8fH/Xs2VP79u1zzv/oo4/UsWNHNWvWTBMmTFBMTIxeeeWVCo9PcnKyhg0bppEjR8rHx0fdu3fXV199dc7jUFJScs7jdr79duLECd11110KCAhQYGCgHnvsMecfLL8M1z788MNq0aKFQkJC9MEHHzi3s2jRIoWHh8vHx0ehoaFlRow2bNigoKAgvfDCC2rVqpUCAgK0aNEi5/zKfga3bt2qPn36qHnz5urWrZs2bNhQ4X76ZV/MmDFDXbt2VbNmzTRy5EgVFBQ45y9YsEBhYWHy9fVVfHy8Dh486Jzn4eGhl156SR06dFCHDh2cNT///PPOmt977z2tWbNGV155pXx9fTV16lTn+mlpaerdu7eaN2+ugIAA3XfffSoqKqqwzjFjxuixxx6TJA0dOlRNmjRx/qtXr54WL14sSdqzZ4/z/0fHjh31z3/+07mNo0ePKj4+Xk2bNlWPHj3K/HyhhhigAm3btjXr1q0r894TTzxhvLy8zOrVq01JSYmZNGmS6dmzpzHGGIfDYbp3726efPJJU1hYaPbt22dCQkLM2rVrK9z+hAkTTExMjMnOzjYlJSXms88+MwUFBebbb781jRo1Mh999JEpKioyzz33nGnfvr0pLCx01tWtWzfzww8/mNOnT5v9+/cbSeaOO+4weXl55vTp0+a9994z7du3N7t37zbFxcXmqaeeMr179zbGGJObm2tat25tZsyYYfLz801ubq7ZunWrs3233XbbOfdJZmamadiwocnNzTXGGFNSUmJat25ttmzZYvLy8oyPj4/Zs2ePMcaYgwcPmp07d1a4nX79+pkVK1YYY4wZNGiQCQ0NNWvWrHHOe+edd4wxxowePdo0bdrU/Pvf/zYOh8Pk5uaa9u3bm2eeecYUFhaaTz75xDRp0sT5maNHjza+vr5m27Ztpri42IwaNcqMHDnSGGPM4cOHjY+Pj3n77bdNcXGxmTlzpvH09DQLFiyosMYnnnjCeHp6muXLl5uioiIzffp0065dO1NUVFThcajsuFW234wx5uabbzaJiYkmLy/P/PTTTyY6OtrMmzfPGGPMokWLjKenp5k/f74pKSkxL7/8sgkICDClpaXGGGPef/99s3fvXlNaWmo2bNhgGjZsaLZv326MMWb9+vWmfv365vHHHzdFRUVm9erVpmHDhubYsWOV/gxmZ2cbX19fs3r1auNwOMxHH31kfH19zc8//1zhvmrbtq2Jjo42OTk55ujRo6ZTp05m7ty5xhhjPvnkE+Pn52e2b99uCgoKzH333Wf69evnXFeS+c1vfmOOHj1qTp8+7az5ySefNEVFRWb+/PmmZcuW5ve//73Jzc01O3fuNN7e3ub77783xhiTnp5utmzZYoqLi83+/ftNp06dzN/+9rcy28/IyHD+fPz1r38tV/+aNWtMQECA+eGHH0xeXp4JCgoyr776qikuLjZffPGF8fPzM7t27TLGGDNy5EgzfPhwk5eXZ/7zn/+YNm3amL59+1a4X1A9CHFU6Fwhfv311zund+3aZby9vY0xxmzdutUEBweXWX7q1KlmzJgx5bbtcDiMt7e32bFjR7l5U6ZMMcOHDy+zbJs2bcz69euddS1cuNA5/5cQ37dvn/O9G2+80bzyyitlttGwYUOTmZlpli5daiIjIyts8/lC3Bhj+vbta1577TVjjDEfffSRCQ0NNcYYk5eXZ5o1a2ZWrFhhTp8+Xek2HnvsMXP//feb4uJic/nll5uZM2eaRx991OTn5xtvb29z5MgRY8yZX7p33HGHc71//etf5vLLLzcOh8P5XkJCgnniiSecy991113OeatXrzYdO3Y0xhjz2muvmV69ejnnlZaWmqCgoEpD/Jc/0Iw5sw9bt25t/vWvfxljyh+H8x23c+23H3/80TRo0KDMPlu6dKkZMGCAMeZMiLdv394579SpU0aSOXToUIV1//a3vzUzZ840xpwJcW9vb1NcXOyc7+/vb7Zs2VLpz+C0adPM7bffXua9G264wSxevLjCz2zbtq154403nNMTJ04048aNM8YYM3bsWDNx4kTnvJMnTxpPT0+zf/9+Y8yZkP3kk0+c83+puaSkxBhz5o9OSc4/NI0xpnv37ubdd9+tsJa//e1v5uabb3ZOny/Ev/32W+Pv7282bdpkjDEmJSXFXHvttWWWSUxMNMnJyaakpMR4enqab775xjnv//7v/wjxGsZwOi5I69atna8bNWqkgoIClZSU6MCBAzp48KCaN2/u/Dd16lT99NNP5bZx5MgRFRQUqH379uXmHTx4UG3btnVO16tXT8HBwcrJyXG+FxwcXG69s987cOCA/vjHPzrr8PX1lTFGOTk5ysrKqvBzXTVq1CgtW7ZMkrR06VKNGjVKktS4cWO99dZbmjdvngICAjR48GDt2bOnwm3ExMRow4YN+uKLL3TVVVdp0KBB2rhxo7Zu3aqwsDD5+flV2K6DBw8qODhY9er9779t27Zty+ybXx+fvLy8Muv+wsPDQ0FBQZW29ezl69Wrp6CgoDJDwb+urbLjdq79duDAARUXFysgIMB5vMaNG6eff/75nG2S5GzXBx98oF69esnX11fNmzfXmjVrnKcqJMnPz0+enp5l1s/Ly6v0Z/DAgQNavnx5mZ/lf//73zp06NA591Vl+/3s/dKkSRP5+flV+vPs5+fnvKC0YcOGkqTLL7/cOb9hw4bO7X/33XcaMmSIWrduraZNm+ovf/lLmfZX5sSJE/rtb3+rp59+2nmF+YEDB7Rt27YybV+yZIl+/PFHHT58WCUlJWXqPbttqBmEOKpEcHCwQkJCdPz4cee/kydPas2aNeWWbdmypby9vSs8n9amTZsy56+NMcrKylJgYKDzPQ8Pj3Lrnf1ecHCw/vGPf5SpJT8/X3369FFwcLC+//77CttQ0XZ/bfjw4dqwYYOys7P17rvvOsNIkmJjY7Vu3TodOnRInTp10j333FPhNvr06aNvv/1W7777rmJiYtS5c2f98MMPWrNmjWJiYs5ZU5s2bZSVlaXS0lLnez/88EOZfXMuAQEBys7Odk4bY8pMVyQrK8v5urS0VNnZ2WrTps05a6vsuJ1rvwUHB8vLy0tHjhxxHqvc3Fzt2rXrvG0qLCzUrbfeqocfflg//fSTjh8/rri4OBkXHsxY2c9gcHCw7rjjjjI/P6dOndKkSZPOu91f+/V+OXXqlI4ePXren2dX3XvvverUqZMyMjKUm5urqVOnutT+0tJSjRo1SgMHDlRiYqLz/eDgYMXExJRpe15enubOnSt/f395enqW+bn44YcfLrp2VA1CHFWiR48e8vHx0XPPPaf8/Hw5HA7t3LlTn3/+ebll69Wrp7Fjx+rBBx/UwYMH5XA4tGXLFhUWFmrEiBFavXq1PvnkExUXF+uFF16Ql5eX+vTp43It48eP17PPPusMghMnTmj58uWSpCFDhujQoUOaOXOmCgsLdfLkSW3btk3Smd5OZmZmmZD8NX9/fw0YMEB33nmnQkJCFB4eLkn66aeftHLlSp06dUpeXl7Oi4Uq0qhRI11zzTV66aWXnKHdp08fzZs3r1yIn61nz55q1KiRnn/+eRUXF2vDhg1atWqVEhISzrtPBg8erP/85z967733VFJSopdeekk//vhjpets375d77zzjkpKSjRz5kx5eXmpV69eFS57vuN2rv0WEBCgG264QQ899JByc3NVWlqqffv2aePGjedtU1FRkQoLC53h8sEHH+ijjz4673pS5T+Dt99+u1atWqUPP/xQDodDBQUFzj9ALtTvf/97LVq0SDt27FBhYaH+8pe/qGfPnmrXrt0Fb6siJ0+eVNOmTdWkSRPt2bNHc+fOdWm9v/71rzp16pRmzZpV5v0hQ4bou+++0xtvvKHi4mIVFxfr888/1zfffKP69evrd7/7nZKTk3X69Gnt3r1br732WpW0AxePEEeVqF+/vt5//33t2LFDISEhatmype6++26dOHGiwuVnzJihq666StHR0fL19dWjjz6q0tJSdezYUW+++abuv/9+tWzZUqtWrdKqVavUoEEDl2u55ZZb9OijjyohIUFNmzZVly5dnFc0+/j4aN26dVq1apVat26tDh06aP369ZLO9BalM8OZ3bt3P+f2R40apY8//rhML7y0tFQvvvii2rRpI19fX23cuLHSX6gxMTEqLi5Wjx49nNMnT55U//79z7lOgwYNtGrVKn3wwQdq2bKlJkyYoNdff12dOnU67z5p2bKlli9frkceeUR+fn7avXu3oqKi5OXldc51fvvb3+qtt95SixYt9MYbb+idd97RZZddVuGyrhy3ivabJL3++usqKipS586d1aJFCw0bNqzSoetf+Pj4aPbs2RoxYoRatGihpUuXKj4+/rzr/eJcP4PBwcFauXKlpk6dKn9/fwUHB2v69OmV/nF3Lr/5zW/01FNP6dZbb1VAQID27dunlJSUC95OZW1YunSpfHx8dM8992jkyJEurbds2TJt3bpVLVq0cF6hvmTJEvn4+Oijjz5SSkqK2rRpo9atW+vRRx9VYWGhJGnOnDnKy8tT69atNWbMGN15551V1hZcHA/jytgLALdSWlqqoKAgLVmyRAMHDiw3nxvfAPZATxyoIz788EMdP35chYWFznOn5xoeB2APhDhQR2zZskXt27d3Dne/9957zqufAdgTw+kAANgUPXEAAGyKEAcAwKZs9yjSli1bVtl3LAEAqO0yMzPPeSc+24V4u3btyjw5CwAAdxYVFXXOeQynAwBgU4Q4AAA2RYgDAGBTtjsnDgCwv+LiYmVnZ6ugoKCmS6k1vL29FRQUdM5nFFSEEAcAVLvs7Gz5+PioXbt2l/Q4VndhjNHRo0eVnZ2tkJAQl9djOB0AUO0KCgrk5+dHgP9/Hh4e8vPzu+CRCUIcAFAjCPCyLmZ/MJwOAKhR7SattmzbmdMGW7bt2oCeOAAAlXA4HDVdwjkR4gCAOmf69OmaPXu2JOnPf/6zrrvuOknSp59+qttuu01NmjTRQw89pG7dumnLli168cUX1aVLF3Xp0kUzZ86UdOZ2qOHh4brnnnsUERGhG264Qfn5+ZKkzz//XF27dlVkZKQmTpyoLl26WNIOhtMBALVGVQx/uzI8369fP73wwgt64IEHlJ6ersLCQhUXF2vTpk3q37+/li5dqp49e+qFF17Q9u3btWjRIm3btk3GGPXs2VMxMTFq0aKFMjIytGzZMi1YsEAjRozQ22+/rdtvv1133nmnFixYoN69e2vSpEmX3KZzoScOAKhzrrnmGm3fvl25ubny8vJS7969lZ6erk2bNqlfv36qX7++br31VknSv//9b91yyy1q3LixmjRpot/97nfatGmTJCkkJESRkZHObWZmZur48eM6efKkevfuLUkaNWqUZe2gJw4AqHMuu+wyhYSEaPHixerTp4+6du2q9evXa+/evQoPD5e3t7fq169/3u14eXk5X9evX985nF5d6IkDAOqkfv36acaMGerfv7/69eunefPm6eqrry73Va9+/frpvffe0+nTp3Xq1Cm9++676tev3zm327x5c/n4+Gjbtm2SpJSUFMvaQE8cAFBrWPl1s1/r16+fnnnmGfXu3VuNGzeWt7d3heHcvXt3jRkzRj169JAk3X333br66quVmZl5zm0vXLhQ99xzj+rVq6eYmBg1a9bMkjZ4GGOMJVu2SFRUFM8TBwCb++abbxQeHi6pGr4nfvDLS99Qm6svaPG8vDw1adJEkjRt2jQdOnRIs2bNOu96Z++XX1SWe/TEAQCoYqtXr9azzz6rkpIStW3bVosXL7bkcwhxAECNcse7qo0cOVIjR460/HMIcQBA3XEhw+JVMQxvMa5OBwDApghxAABsihAHAMCmOCcOAKhZydZ8h/rMtk9Yt+2LcPz4cS1dulQTJkyoku3REwcAwEUlJSWVTp/P8ePH9fLLL1dZPfTEAQB10uuvv64ZM2bIw8NDXbt21VNPPaWxY8fqyJEj8vf316JpD+mKwACN+dMT8vZtoy+//FJ9+/bVsWPH5O3t7ZxOSkpSUlKSDh8+rEaNGmnBggXq1KmTfvrpJ40fP17ff/+9JGnu3LmaPXu29u3bp8jISA0aNEjTp0+/pDYQ4gCA2qMqhr9dGJ7ftWuXnn76aW3evFktW7bUsWPHNHr0aOe/V199VQ88Pl3vvfqiJCk7O1ubN29W/fr1NWbMmDLT119/vebNm6cOHTpo27ZtmjBhgj799FM98MADiomJ0bvvviuHw6G8vDxNmzZNO3fu1I4dOy69nSLEAQB10Keffqrhw4erZcuWkiRfX19t2bJF77zzjiTpjjvu0CMPP+Rcfvjw4WWeavbLdF5enjZv3qzhw4c75xUWFjo/4/XXX5d05glnzZo103//+98qbQchDgDAeTRu3LjC6dLSUjVv3rzKetYXigvbAAB1znXXXafly5fr6NGjkqRjx46pT58+zseGLlmyRP16nv/ubk2bNlVISIiWL18uSTLG6KuvvpIkXX/99Zo7d64kyeFw6MSJE/Lx8dHJkyerrB30xAEAtYeVXzc7S0REhP76178qJiZG9evX19VXX62///3vuvPOOzV9+vT/f2Hbwy5ta8mSJbr33nv19NNPq7i4WAkJCerWrZtmzZqlxMRELVy4UPXr19fcuXPVu3dv9e3bV126dNFNN910yRe28ShSAEC1+2bLhwpv2+rMxPwB1n1Q8omy90C/2HunX+CjSC/WhT6KlOF0AID7ssFDTC4Fw+kAgJqVuKGmK7AtQhwAULPc7PGg1YkQBwDUACNjjDw8PC5stWo6N10TLuYSNc6JAwCqnfeJ73X0VMlFBZc7Msbo6NGj8vb2vqD16IkDAKpd0BfPKVuP6nCzUCn3m5oup2LHf/7f6xPW1+jt7a2goKALWocQBwBUu8uKjitk6/+dmahljwt1Su511uvaWSPD6QAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BTfEwcAXJpqegY4yqMnDgCATRHiAADYlKXD6WvXrtUf//hHORwO3X333Zo0aVK5Zf75z38qOTlZHh4e6tatm5YuXWplSQAAK9XS25O6K8tC3OFwKCkpSevWrVNQUJCio6MVHx+vzp07O5fJyMjQs88+q88++0wtWrTQzz//XMkWAQDA2SwbTk9LS1NYWJhCQ0PVoEEDJSQkaOXKlWWWWbBggZKSktSiRQtJUqtWrawqBwAAt2NZiOfk5Cg4ONg5HRQUpJycnDLLfPfdd/ruu+/Ut29f9erVS2vXrrWqHAAA3E6NfsWspKREGRkZ2rBhg7Kzs9W/f3/95z//UfPmzcssN3/+fM2fP1+SdPjw4RqoFACA2seynnhgYKCysrKc09nZ2QoMDCyzTFBQkOLj43XZZZcpJCREV155pTIyMsptKzExUenp6UpPT5e/v79VJQMAYCuWhXh0dLQyMjK0f/9+FRUVKSUlRfHx8WWWufnmm7VhwwZJ0pEjR/Tdd98pNDTUqpIAAHArloW4p6en5syZo9jYWIWHh2vEiBGKiIjQ5MmTlZqaKkmKjY2Vn5+fOnfurIEDB2r69Ony8/OzqiQAANyKhzHG1HQRFyIqKkrp6ek1XQYA4Bdn33bVnb4nXkvaVVnuccc2AABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmPGu6AABALZHcrKYrwAWiJw4AgE0R4gAA2BTD6QCA8pJP1HQFcAE9cQAAbIoQBwDApghxAABsinPiAOBu+KpYnUFPHAAAmyLEAQCwKYbTAcCd8VUxt0ZPHAAAmyLEAQCwKUIcAACbIsQBALApQhwAAJsixAEAsClCHAAAmyLEAQCwKUIcAACbIsQBALApS0N87dq16tixo8LCwjRt2rRy8xcvXix/f39FRkYqMjJSr7zyipXlAADgViy7d7rD4VBSUpLWrVunoKAgRUdHKz4+Xp07dy6z3MiRIzVnzhyrygAAwG1Z1hNPS0tTWFiYQkND1aBBAyUkJGjlypVWfRwAAHWOZSGek5Oj4OBg53RQUJBycnLKLff222+ra9euGjZsmLKysirc1vz58xUVFaWoqCgdPnzYqpIBALCVGr2wbejQocrMzNTXX3+tQYMGafTo0RUul5iYqPT0dKWnp8vf37+aqwQAoHayLMQDAwPL9Kyzs7MVGBhYZhk/Pz95eXlJku6++25t377dqnIAAHA7loV4dHS0MjIytH//fhUVFSklJUXx8fFlljl06JDzdWpqqsLDw60qBwAAt2PZ1emenp6aM2eOYmNj5XA4NHbsWEVERGjy5MmKiopSfHy8Zs+erdTUVHl6esrX11eLFy+2qhwAANyOhzHG1HQRFyIqKkrp6ek1XQYA1F7Jzc56faLm6rC7WrIfK8s97tgGAIBNEeIAANgUIQ4AgE0R4gAA2JRlV6cDAM5y9kVSF70NLlJDWfTEAQCwKXriAGAXVdGbh1shxAGgul3IsDjBjUownA4AgE3REweA2oyL2VAJeuIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2JRnTRcAALaT3KymKwAk0RMHAMC2CHEAAGyK4XQAuBTJJ2q6AtRh9MQBALApQhwAAJsixAEAsClCHAAAmyLEAQCwKUIcAACb4itmAAC31m7S6otaL9O7iguxAD1xAABsip44AMA2LrZX7a4IcQBAnZE5bbDrCydbVkaVYTgdAACboicOAKh2VTEsfkG9ajdlaU987dq16tixo8LCwjRt2rRzLvf222/Lw8ND6enpVpYDAIBbsSzEHQ6HkpKS9MEHH2j37t1atmyZdu/eXW65kydPatasWerZs6dVpQAA4JYsG05PS0tTWFiYQkNDJUkJCQlauXKlOnfuXGa5xx9/XI8++qimT59uVSkAgFqMYfGLZ1lPPCcnR8HBwc7poKAg5eTklFnmiy++UFZWlgYPrvwAzp8/X1FRUYqKitLhw4ctqRcAALupsavTS0tL9eCDD+qFF14477KJiYlKT09Xenq6/P39q6E6AABqP8tCPDAwUFlZWc7p7OxsBQYGOqdPnjypnTt3asCAAWrXrp22bt2q+Ph4Lm4DAMBFlp0Tj46OVkZGhvbv36/AwEClpKRo6dKlzvnNmjXTkSNHnNMDBgzQjBkzFBUVZVVJAAALcBe1mmNZT9zT01Nz5sxRbGyswsPDNWLECEVERGjy5MlKTU216mMBAKgzLL3ZS1xcnOLi4sq8N2XKlAqX3bBhg5WlAADgdrhjGwCgyvB1serFvdMBALApQhwAAJtiOB1A3ZXcrKYrqFW4ytx+6IkDAGBThDgAADbFcDoASFLyiZquoFbhKnN7IMQBwM1wbrvuuODh9P/+97/6+uuvragFAABcAJdCfMCAAcrNzdWxY8fUvXt33XPPPXrwwQetrg0AAFTCpeH0EydOqGnTpnrllVf0hz/8QU8++aS6du1qdW0AgEvEuW335lJPvKSkRIcOHdI///lPDRkyxOqaAACAC1wK8SeeeEKxsbEKCwtTdHS0vv/+e3Xo0MHq2gAAQCVcGk4PCAgoczFbaGgo58QB1C5uevc1rjRHZVzqid9///0uvQcAAKpPpT3xLVu2aPPmzTp8+LBefPFF5/u5ublyOByWFwcAAM6t0hAvKipSXl6eSkpKdPLkSef7TZs21YoVKywvDgAuSi28+1pVDItzpTl+rdIQj4mJUUxMjMaMGaO2bdtWV00AAMAFLl3YVlhYqMTERGVmZqqkpMT5/qeffmpZYQAAoHIuhfjw4cM1fvx43X333apfv77VNQGAW2NYHFXFpRD39PTUvffea3UtAADgArj0FbOhQ4fq5Zdf1qFDh3Ts2DHnPwAAUHNc6om/9tprkqTp06c73/Pw8ND3339vTVUAAOC8XArx/fv3W10HAAC4QC4Np58+fVpPP/20EhMTJUkZGRl6//33LS0MAABUzqUQv/POO9WgQQNt3rxZkhQYGKjHHnvM0sIAAEDlXArxffv26ZFHHtFll10mSWrUqJGMMZYWBgAAKudSiDdo0ED5+fny8PCQdCbUvby8LC0MAABUzqUL25KTk3XjjTcqKytLt912mz777DMtXrzY4tIAoHbi8aCoLVwK8RtuuEHXXHONtm7dKmOMZs2apZYtW1pdGwAAqIRLIT506FCNGjVK8fHxaty4sdU1AQAAF7gU4g8//LDeeustTZo0SdHR0UpISNCQIUPk7e1tdX0AYBkeDwq7cynEf3kkqcPh0KeffqoFCxZo7Nixys3Ntbo+AABwDi6FuCTl5+dr1apVeuutt/TFF19o9OjRVtYFoK5KblbTFQC24VKIjxgxQmlpabrxxht13333KSYmRvXqufTtNACwBYbFYUcuhfhdd92lZcuW8SxxAABqkUpD/Pnnn9cjjzyi2NhYLV++XMOHD3fO+8tf/qKpU6daXiCAOiz5hMuLlrlIje9xo46odEw8JSXF+frZZ58tM2/t2rXWVAQAAFxSaYiffX/0X98rnXunAwBQsyodTv/lXum/fl3RNADUFlykhrqi0hD/6quv1LRpUxljlJ+fr6ZNm0o60wsvKCiolgIB1F3coxyoXKUh7nA4qqsOAABwgVy+2QvcH7egBAB7IcQB1Fr8UQhUjhB3Q5xHBIC6gRBHhS6kB8QfDe6PUy2o8y7mnv4XcLOii2XpDdDXrl2rjh07KiwsTNOmTSs3f968ebrqqqsUGRmpa6+9Vrt377ayHAAA3IplPXGHw6GkpCStW7dOQUFBio6OVnx8vDp37uxcZtSoURo/frwkKTU1VQ8++CB3gqti9H4AwH1ZFuJpaWkKCwtTaGioJCkhIUErV64sE+K/fO9ckk6dOsUNZAAbuNhTLa4OyWd6X3BJgCXaFSx1vnb5576aH6VrWYjn5OQoODjYOR0UFKRt27aVW+6ll17Siy++qKKiIn366adWlYNqcjHnTq0eLeB8LgB3VeMPBU9KStK+ffv03HPP6emnn65wmfnz5ysqKkpRUVE6fPhwNVcIAEDtZFlPPDAwUFlZWc7p7OxsBQYGnnP5hIQE3XvvvRXOS0xMVGJioiQpKiqqagtFjePqdvd1USMYyVVeBuC2LAvx6OhoZWRkaP/+/QoMDFRKSoqWLl1aZpmMjAx16NBBkrR69Wrna9jLxfyirqng5qtz1ayazw8CdY1lIe7p6ak5c+YoNjZWDodDY8eOVUREhCZPnqyoqCjFx8drzpw5+vjjj3XZZZepRYsWeu2116wqB7gktfFcPwBYerOXuLg4xcXFlXlvypQpztezZs2y8uNRi9WFgLvYnryr+4aRAgDcsQ1A9aiGu1cBdQ0hDpyDnc71A6ibCHGgCl3saYJLDf+6cHoCQHmEOFDL0JsH4Koav9kLAAC4OIQ4AAA2xXA6UAtwThvAxSDEAZwfd14DaiWG0wEAsClCHAAAm2I4HcCF4c5rQK1BTxwAAJsixAEAsClCHAAAmyLEAQCwKUIcAACbIsQBALApvmJWy/FEKwDAudATBwDApghxAABsiuF0G+FJVwCAs9ETBwDApghxAABsihAHAMCmOCcO1DXJzWq6AgBVhJ44AAA2RYgDAGBTDKcDdVnyiZquAMAloCcOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBN8T3xatJu0uqaLgG12aXeCpXvewN1Ej1xAABsihAHAMCmGE6vAZnTBtd0CajNXB0a52lkQJ1HTxwAAJuiJ34RuEgNAFAb0BMHAMCmCHEAAGyK4fRLxEVqqBW4yA2ok+iJAwBgU3W6J84FagAAO6vTIQ7YGrdaBeo8S4fT165dq44dOyosLEzTpk0rN//FF19U586d1bVrV11//fU6cOCAleUAAOBWLOuJOxwOJSUlad26dQoKClJ0dLTi4+PVuXNn5zJXX3210tPT1ahRI82dO1ePPPKI3nrrLatKqhQXqAEA7MaynnhaWprCwsIUGhqqBg0aKCEhQStXriyzzMCBA9WoUSNJUq9evZSdnW1VOQAAuB3LQjwnJ0fBwcHO6aCgIOXk5Jxz+YULF+qmm26yqhwAANxOrbiw7c0331R6ero2btxY4fz58+dr/vz5kqTDhw9XZ2kAANRalvXEAwMDlZWV5ZzOzs5WYGBgueU+/vhjPfPMM0pNTZWXl1eF20pMTFR6errS09Pl7+9vVckAANiKZT3x6OhoZWRkaP/+/QoMDFRKSoqWLl1aZpkvv/xS48aN09q1a9WqVSurSgGqD3dOA1CNLOuJe3p6as6cOYqNjVV4eLhGjBihiIgITZ48WampqZKkiRMnKi8vT8OHD1dkZKTi4+OtKgcAALdj6TnxuLg4xcXFlXlvypQpztcff/yxlR8PAIBbqxUXtgFuiTuqAbAYIQ4AwHm4+qyNTG+LC/kVnmIGAIBNEeIAANgUw+nAufB1MaBOu6hnaiRXeRmVoicOAIBNEeIAANgUw+mwl0sd4r7Yr33xdTEAtRA9cQAAbIqeOOoWLlYD4EYIcdiXq0PcBDcAN8VwOgAANkVPHO6Pi9IAuCl64gAA2BQhDgCATRHiAADYFOfEUTO4YhwALhk9cQAAbIoQBwDAphhOx6WrqfuZA0AdR08cAACbIsQBALAphtNRtRgaB4BqQ08cAACbIsQBALApQhwAAJvinLg7qoq7oXFuGwBqPUIcFeO2qABQ6zGcDgCATdETd3cXMixO7xsAbIUQx/9wHhwAbIXhdAAAbIoQBwDApghxAABsihAHAMCmCHEAAGyKEAcAwKYIcQAAbIoQBwDApghxAABsihAHAMCmuO1qbcf9zAEA50BPHAAAmyLEAQCwKYbT7YSnjAEAzkJPHAAAm6InXl24QA0AUMUs7YmvXbtWHTt2VFhYmKZNm1Zu/r/+9S91795dnp6eWrFihZWlAADgdizriTscDiUlJWndunUKCgpSdHS04uPj1blzZ+cyV1xxhRYvXqwZM2ZYVYY16FUDAGoBy0I8LS1NYWFhCg0NlSQlJCRo5cqVZUK8Xbt2kqR69erYqXkuUAMAVAHL0jMnJ0fBwcHO6aCgIOXk5FzUtubPn6+oqChFRUXp8OHDVVUiAAC2ZosL2xITE5WYmChJioqKquFqfoVeNQCghljWEw8MDFRWVpZzOjs7W4GBgVZ9HAAAdY5lIR4dHa2MjAzt379fRUVFSklJUXx8vFUfBwBAnWNZiHt6emrOnDmKjY1VeHi4RowYoYiICE2ePFmpqamSpM8//1xBQUFavny5xo0bp4iICKvKAQDA7Vh6TjwuLk5xcXFl3psyZYrzdXR0tLKzs60sAQAAt2WLC9uskuk96n8TyTVWBgAAF6WOfUEbAAD3QYgDAGBTdXo4vQy+7w0AsBl64gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeIAANgUIQ4AgE1ZGuJr165Vx44dFRYWpmnTppWbX1hYqJEjRyosLEw9e/ZUZmamleUAAOBWLAtxh8OhpKQkffDBB9q9e7eWLVum3bt3l1lm4cKFatGihfbu3as///nPevTRR60qBwAAt2NZiKelpSksLEyhoaFq0KCBEhIStHLlyjLLrFy5UqNHj5YkDRs2TJ988omMMVaVBACAW7EsxHNychQcHOycDgoKUk5OzjmX8fT0VLNmzXT06FGrSgIAwK141nQBrpg/f77mz58vSdqzZ4+ioqKqaMsddPjwYfn7+0vvV9U27cXZ/jqoLrddqtvtp+11s+1SdbS/w/9eVlGuVHa9mGUhHhgYqKysLOd0dna2AgMDK1wmKChIJSUlOnHihPz8/MptKzExUYmJiZbUGRUVpfT0dEu2bQd1uf11ue1S3W4/ba+bbZfcr/2WDadHR0crIyND+/fvV1FRkVJSUhQfH19mmfj4eL322muSpBUrVui6666Th4eHVSUBAOBWLOuJe3p6as6cOYqNjZXD4dDYsWMVERGhyZMnKyoqSvHx8brrrrt0xx13KCwsTL6+vkpJSbGqHAAA3I6l58Tj4uIUFxdX5r0pU6Y4X3t7e2v58uVWlnBeVg3T20Vdbn9dbrtUt9tP2+sud2u/h+E7XQAA2BK3XQUAwKbqTIjX5VvAnq/tixcvlr+/vyIjIxUZGalXXnmlBqq0xtixY9WqVSt16dKlwvnGGD3wwAMKCwtT165d9cUXX1RzhdY6X/s3bNigZs2aOY/92ae77C4rK0sDBw5U586dFRERoVmzZpVbxl2Pvyttd+djX1BQoB49eqhbt26KiIjQE088UW4Zt/mdb+qAkpISExoaavbt22cKCwtN165dza5du8os89JLL5lx48YZY4xZtmyZGTFiRE2UWuVcafuiRYtMUlJSDVVorY0bN5rt27ebiIiICuevXr3a3Hjjjaa0tNRs2bLF9OjRo5ortNb52r9+/XozePDgaq6qehw8eNBs377dGGNMbm6u6dChQ7mffXc9/q603Z2PfWlpqTl58qQxxpiioiLTo0cPs2XLljLLuMvv/DrRE6/Lt4B1pe3urH///vL19T3n/JUrV+oPf/iDPDw81KtXLx0/flyHDh2qxgqtdb72u7OAgAB1795dkuTj46Pw8PByd4101+PvStvdmYeHh5o0aSJJKi4uVnFxcbmvL7vL7/w6EeJ1+RawrrRdkt5++2117dpVw4YNK3OTHnfn6v5xZ1u2bFG3bt100003adeuXTVdjiUyMzP15ZdfqmfPnmXerwvH/1xtl9z72DscDkVGRqpVq1YaNGhQpcfezr/z60SIo3JDhw5VZmamvv76aw0aNMj51yncX/fu3XXgwAF99dVXuv/++3XzzTfXdElVLi8vT7feeqtmzpyppk2b1nQ51aqytrv7sa9fv7527Nih7OxspaWlaefOnTVdkiXqRIhfyC1gJVV6C1i7caXtfn5+8vLykiTdfffd2r59e7XWWJNc2T/urGnTps5hx7i4OBUXF+vIkSM1XFXVKS4u1q233qrbbrtNv/vd78rNd+fjf762u/ux/0Xz5s01cOBArV27tsz77vI7v06EeF2+BawrbT/7HGBqaqrCw8Oru8waEx8fr9dff13GGG3dulXNmjVTQEBATZdVbX788UfnecC0tDSVlpba8hdZRYwxuuuuuxQeHq4HH3ywwmXc9fi70nZ3PvaHDx/W8ePHJUn5+flat26dOnXqVGYZd/mdb4unmF2qunwLWFfaPnv2bKWmpsrT01O+vr5avHhxTZddZX7/+99rw4YNOnLkiIKCgvTkk0+quLhYkjR+/HjFxcVpzZo1CgsLU6NGjbRo0aIarrhqna/9K1as0Ny5c+Xp6amGDRsqJSXFlr/IKvLZZ5/pjTfe0FVXXaXIyEhJ0tSpU/XDDz9Icu/j70rb3fnYHzp0SKNHj5bD4VBpaalGjBihIUOGuOXvfO7YBgCATdWJ4XQAANwRIQ4AgE0R4gAA2BQhDgCATRHiAADYFCEOAIBNEeJALZScnKwZM2a4NH/x4sU6ePDgebc5ZswYhYSEKDIyUt27d9eWLVskSQMGDFB6enq55dPT0/XAAw9ccI3Hjx/Xyy+/XOa9G2+8Uc2bN9eQIUPOW2e7du0qvHPYhg0btHnzZuf0iy++qM6dO6tr1666/vrrdeDAgfNuG3A3hDhgc66GuCRNnz5dO3bs0LRp0zRu3LhKl42KitLs2bMvuJ6KQnzixIl64403LnhbZ/t1iF999dVKT0/X119/rWHDhumRRx65pO0DdkSIA7XEM888oyuvvFLXXnutvv32W0nSvn37dOONN+qaa65Rv379tGfPnjLrrFixQunp6brtttsUGRmp/Px8TZkyRdHR0erSpYsSExMrfLxi//79tXfvXuf08uXL1aNHD1155ZXatGmTpDOheb6e8+7duzVgwACFhoY6A3/SpEnat2+fIiMjNXHiREnS9ddfLx8fH5f3xd///nd1795dV111lfbs2aPMzEzNmzdPf/vb3xQZGalNmzZp4MCBatSokSSpV69eys7Odnn7gLsgxIFaYPv27UpJSdGOHTu0Zs0aff7555KkxMRE/f3vf9f27ds1Y8YMTZgwocx6w4YNU1RUlJYsWaIdO3aoYcOGuu+++/T5559r586dys/P1/vvv1/u81atWqWrrrrKOV1SUqK0tDTNnDlTTz75pMt179mzRx9++KHS0tKct3SdNm2a2rdvrx07dmj69OkXtT9atmypL774Qvfee69mzJihdu3aafz48frzn/+sHTt2qF+/fmWWX7hwoW666aaL+izAzurEvdOB2m7Tpk265ZZbnD3L+Ph4FRQUaPPmzRo+fLhzucLCwvNua/369Xr++ed1+vRpHTt2TBERERo6dKikM8PaTz/9tPz9/bVw4ULnOr885eqaa65RZmamy3UPHjxYXl5e8vLyUqtWrfTTTz+5vG5lzq7nnXfeqXTZN998U+np6dq4cWOVfDZgJ4Q4UEuVlpaqefPm2rFjh8vrFBQUaMKECUpPT1dwcLCSk5NVUFDgnD99+nQNGzas3Hq/PIq2fv36KikpcfnzflnvYtZ1Zbvn2+bHH3+sZ555Rhs3bixTC1BXMJwO1AL9+/fXe++9p/z8fJ08eVKrVq1So0aNFBISouXLl0s683jJr776qty6Pj4+OnnypCQ5A7tly5bKy8vTihUrqq8RFdRj5Xa//PJLjRs3TqmpqWrVqlWVfx5gB4Q4UAt0795dI0eOVLdu3XTTTTcpOjpakrRkyRItXLhQ3bp1U0REhFauXFlu3TFjxmj8+PGKjIyUl5eX7rnnHnXp0kWxsbHO7VQnPz8/9e3bV126dHFe2NavXz8NHz5cn3zyiYKCgvThhx9e8HaHDh2qd99913lh28SJE5WXl6fhw4crMjJS8fHxVd0UoNbjUaQAANgUPXEAAGyKC9sAVGrRokWaNWtWmff69u2rl1566ZK2e8stt2j//v1l3nvuuecUGxt7SdsF6hKG0wEAsCmG0wEAsClCHAAAmyLEAQCwKUIcAACbIsQBALCp/weQgF9DYE88IwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaPhi_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=30, range=(0,3.2), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaPhi_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=30, range=(0,3.2), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaPhi_ht1_ht2')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "e43ded5e", + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'DataFrame' object has no attribute 'deltaEta_ht2_ltop'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn [122], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots(figsize \u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m,\u001b[38;5;241m7\u001b[39m), dpi\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m72\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m0\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_ht2_ltop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mwrong\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 3\u001b[0m plt\u001b[38;5;241m.\u001b[39mhist(training_data[training_data\u001b[38;5;241m.\u001b[39my\u001b[38;5;241m==\u001b[39m\u001b[38;5;241m1\u001b[39m]\u001b[38;5;241m.\u001b[39mdeltaEta_ht2_ltop, histtype \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mstep\u001b[39m\u001b[38;5;124m\"\u001b[39m, linewidth\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m3.0\u001b[39m, bins\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m30\u001b[39m, \u001b[38;5;28mrange\u001b[39m\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m4\u001b[39m), label\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mcorrect\u001b[39m\u001b[38;5;124m\"\u001b[39m, density\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[1;32m 4\u001b[0m plt\u001b[38;5;241m.\u001b[39mylabel(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mEvents\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", + "File \u001b[0;32m/work/dvalsecc/miniconda3/envs/coffea4/lib/python3.10/site-packages/pandas/core/generic.py:5575\u001b[0m, in \u001b[0;36mNDFrame.__getattr__\u001b[0;34m(self, name)\u001b[0m\n\u001b[1;32m 5568\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m (\n\u001b[1;32m 5569\u001b[0m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_internal_names_set\n\u001b[1;32m 5570\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_metadata\n\u001b[1;32m 5571\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m name \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_accessors\n\u001b[1;32m 5572\u001b[0m \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_info_axis\u001b[38;5;241m.\u001b[39m_can_hold_identifiers_and_holds_name(name)\n\u001b[1;32m 5573\u001b[0m ):\n\u001b[1;32m 5574\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m[name]\n\u001b[0;32m-> 5575\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mobject\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__getattribute__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mAttributeError\u001b[0m: 'DataFrame' object has no attribute 'deltaEta_ht2_ltop'" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAesAAAGnCAYAAACXaX+2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy89olMNAAAACXBIWXMAAAsTAAALEwEAmpwYAAAUwUlEQVR4nO3cf2xddf348VdNGYR/YJAtwr1TqFfm1qWD5FaKxMkkcTDijX+MOkiGBGNRmpCAUf5iQQNxiZHEMCApLqAhaYPyRxvdagSz/WGY8zoSGZW04gZtQ3TV8EMijG3n+8fn89nXZsNbtt721fXx+Iuz8+45L95Z+sxtz05LURRFAABpfWy+BwAA/juxBoDkxBoAkhNrAEhOrAEgObEGgOQaxvqOO+6I5cuXx5o1a055viiKuPvuu6NSqURHR0fs379/1ocEgMWsYaxvv/32GB4e/tDzu3btirGxsRgbG4u+vr741re+NasDAsBi1zDW69ati4suuuhDzw8ODsZtt90WLS0t0dXVFW+++Wa88cYbszokACxmZ/w768nJyVixYsWJ43K5HJOTk2d6WQDgf7XO5c36+vqir68vIiJeeeWV+MxnPjOXtweAeXPo0KGYmpo6ra8941iXSqUYHx8/cTwxMRGlUumUa3t6eqKnpyciIqrVatTr9TO9PQAsCNVq9bS/9ox/DF6r1eJnP/tZFEURe/fujQsuuCAuueSSM70sAPC/Gn6yvuWWW2L37t0xNTUV5XI5vve978UHH3wQERHf/OY3Y+PGjbFz586oVCpx/vnnx5NPPtn0oQFgMWkY6/7+/v96vqWlJR599NFZGwgAmM4bzAAgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBILkZxXp4eDhWrlwZlUoltm3bdtL5119/PdavXx9XXXVVdHR0xM6dO2d9UABYrBrG+tixY9Hb2xu7du2KkZGR6O/vj5GRkWlrHnzwweju7o4XX3wxBgYG4q677mrawACw2DSM9b59+6JSqURbW1ssWbIkNm/eHIODg9PWtLS0xNtvvx0REW+99VZceumlzZkWABah1kYLJicnY8WKFSeOy+Vy/P73v5+25oEHHogvfelL8cgjj8S7774bzz333Cmv1dfXF319fRERcfjw4TOZGwAWjVl5wKy/vz9uv/32mJiYiJ07d8aWLVvi+PHjJ63r6emJer0e9Xo9li1bNhu3BoCzXsNYl0qlGB8fP3E8MTERpVJp2podO3ZEd3d3RERcc8018d5778XU1NQsjwoAi1PDWHd2dsbY2FgcPHgwjhw5EgMDA1Gr1aat+cQnPhHPP/98RET8+c9/jvfee88nZwCYJQ1j3draGtu3b48NGzbEqlWroru7O9rb22Pr1q0xNDQUERE/+tGP4oknnoi1a9fGLbfcEk899VS0tLQ0fXgAWAxaiqIo5uPG1Wo16vX6fNwaAObcmXTPG8wAIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASE6sASA5sQaA5MQaAJITawBITqwBIDmxBoDkxBoAkhNrAEhOrAEgObEGgOTEGgCSE2sASG5GsR4eHo6VK1dGpVKJbdu2nXLNM888E6tXr4729va49dZbZ3VIAFjMWhstOHbsWPT29sZvfvObKJfL0dnZGbVaLVavXn1izdjYWPzgBz+I3/3ud7F06dL4+9//3tShAWAxafjJet++fVGpVKKtrS2WLFkSmzdvjsHBwWlrnnjiiejt7Y2lS5dGRMTy5cubMy0ALEINYz05ORkrVqw4cVwul2NycnLamtHR0RgdHY1rr702urq6Ynh4ePYnBYBFquGPwWfi6NGjMTY2Frt3746JiYlYt25dvPTSS3HhhRdOW9fX1xd9fX0REXH48OHZuDUAnPUafrIulUoxPj5+4nhiYiJKpdK0NeVyOWq1Wpxzzjlx+eWXxxVXXBFjY2MnXaunpyfq9XrU6/VYtmzZLIwPAGe/hrHu7OyMsbGxOHjwYBw5ciQGBgaiVqtNW/OVr3wldu/eHRERU1NTMTo6Gm1tbU0ZGAAWm4axbm1tje3bt8eGDRti1apV0d3dHe3t7bF169YYGhqKiIgNGzbExRdfHKtXr47169fHD3/4w7j44oubPjwALAYtRVEU83HjarUa9Xp9Pm4NAHPuTLrnDWYAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJDcjGI9PDwcK1eujEqlEtu2bfvQdc8++2y0tLREvV6ftQEBYLFrGOtjx45Fb29v7Nq1K0ZGRqK/vz9GRkZOWvfOO+/Ej3/847j66qubMigALFYNY71v376oVCrR1tYWS5Ysic2bN8fg4OBJ6+6///6477774rzzzmvKoACwWDWM9eTkZKxYseLEcblcjsnJyWlr9u/fH+Pj43HTTTfN/oQAsMi1nukFjh8/Hvfee2889dRTDdf29fVFX19fREQcPnz4TG8NAItCw0/WpVIpxsfHTxxPTExEqVQ6cfzOO+/EgQMH4rrrrovLLrss9u7dG7Va7ZQPmfX09ES9Xo96vR7Lli2bpf8FADi7NYx1Z2dnjI2NxcGDB+PIkSMxMDAQtVrtxPkLLrggpqam4tChQ3Ho0KHo6uqKoaGhqFarTR0cABaLhrFubW2N7du3x4YNG2LVqlXR3d0d7e3tsXXr1hgaGpqLGQFgUWspiqKYjxtXq1X/HhuAReNMuucNZgCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkNyMYj08PBwrV66MSqUS27ZtO+n8ww8/HKtXr46Ojo64/vrr47XXXpv1QQFgsWoY62PHjkVvb2/s2rUrRkZGor+/P0ZGRqatueqqq6Jer8ef/vSn2LRpU3z3u99t2sAAsNg0jPW+ffuiUqlEW1tbLFmyJDZv3hyDg4PT1qxfvz7OP//8iIjo6uqKiYmJ5kwLAItQw1hPTk7GihUrThyXy+WYnJz80PU7duyIG2+88ZTn+vr6olqtRrVajcOHD5/GuACw+LTO5sWefvrpqNfrsWfPnlOe7+npiZ6enoiIqFars3lrADhrNYx1qVSK8fHxE8cTExNRKpVOWvfcc8/FQw89FHv27Ilzzz13dqcEgEWs4Y/BOzs7Y2xsLA4ePBhHjhyJgYGBqNVq09a8+OKLceedd8bQ0FAsX768acMCwGLUMNatra2xffv22LBhQ6xatSq6u7ujvb09tm7dGkNDQxER8Z3vfCf+9a9/xc033xxXXnnlSTEHAE5fS1EUxXzcuFqtRr1en49bA8CcO5PueYMZACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHJiDQDJiTUAJCfWAJCcWANAcmINAMnNKNbDw8OxcuXKqFQqsW3btpPOv//++/HVr341KpVKXH311XHo0KHZnhMAFq2GsT527Fj09vbGrl27YmRkJPr7+2NkZGTamh07dsTSpUvjL3/5S9xzzz1x3333NW1gAFhsGsZ63759UalUoq2tLZYsWRKbN2+OwcHBaWsGBwfja1/7WkREbNq0KZ5//vkoiqI5EwPAItMw1pOTk7FixYoTx+VyOSYnJz90TWtra1xwwQXxj3/8Y5ZHBYDFqXUub9bX1xd9fX0REXHgwIGoVqtzeftF5/Dhw7Fs2bL5HuOsZ5+bzx43nz1uvldeeeW0v7ZhrEulUoyPj584npiYiFKpdMo15XI5jh49Gm+99VZcfPHFJ12rp6cnenp6IiKiWq1GvV4/7cFpzB7PDfvcfPa4+exx853JB9SGPwbv7OyMsbGxOHjwYBw5ciQGBgaiVqtNW1Or1eKnP/1pRET84he/iC9+8YvR0tJy2kMBAP9fw0/Wra2tsX379tiwYUMcO3Ys7rjjjmhvb4+tW7dGtVqNWq0WX//612PLli1RqVTioosuioGBgbmYHQAWhRn9znrjxo2xcePGaX/2/e9//8R/n3feefHzn//8I934/34cTvPY47lhn5vPHjefPW6+M9njlsK/sQKA1LxuFACSa3qsvaq0+Rrt8cMPPxyrV6+Ojo6OuP766+O1116bhykXtkZ7/H+effbZaGlp8VTtaZrJPj/zzDOxevXqaG9vj1tvvXWOJ1z4Gu3x66+/HuvXr4+rrroqOjo6YufOnfMw5cJ2xx13xPLly2PNmjWnPF8URdx9991RqVSio6Mj9u/f3/iiRRMdPXq0aGtrK1599dXi/fffLzo6OoqXX3552ppHH320uPPOO4uiKIr+/v6iu7u7mSOddWayx7/97W+Ld999tyiKonjsscfs8Uc0kz0uiqJ4++23i89//vPF1VdfXfzhD3+Yh0kXtpns8+joaHHllVcW//znP4uiKIq//e1v8zHqgjWTPf7GN75RPPbYY0VRFMXLL79cfPKTn5yHSRe2PXv2FH/84x+L9vb2U57/1a9+Vdxwww3F8ePHixdeeKH47Gc/2/CaTf1k7VWlzTeTPV6/fn2cf/75ERHR1dUVExMT8zHqgjWTPY6IuP/+++O+++6L8847bx6mXPhmss9PPPFE9Pb2xtKlSyMiYvny5fMx6oI1kz1uaWmJt99+OyIi3nrrrbj00kvnY9QFbd26dXHRRRd96PnBwcG47bbboqWlJbq6uuLNN9+MN954479es6mx9qrS5pvJHv+nHTt2xI033jgXo501ZrLH+/fvj/Hx8bjpppvmeryzxkz2eXR0NEZHR+Paa6+Nrq6uGB4enusxF7SZ7PEDDzwQTz/9dJTL5di4cWM88sgjcz3mWe+jft+OmOPXjTK/nn766ajX67Fnz575HuWscvz48bj33nvjqaeemu9RznpHjx6NsbGx2L17d0xMTMS6devipZdeigsvvHC+Rztr9Pf3x+233x7f/va344UXXogtW7bEgQMH4mMf8zzyfGrq7n+UV5VGxH99VSmnNpM9joh47rnn4qGHHoqhoaE499xz53LEBa/RHr/zzjtx4MCBuO666+Kyyy6LvXv3Rq1W85DZRzSTv8vlcjlqtVqcc845cfnll8cVV1wRY2Njcz3qgjWTPd6xY0d0d3dHRMQ111wT7733XkxNTc3pnGe7mX7fnmaWf68+zQcffFBcfvnlxV//+tcTDzMcOHBg2prt27dPe8Ds5ptvbuZIZ52Z7PH+/fuLtra2YnR0dJ6mXNhmssf/6Qtf+IIHzE7DTPZ5165dxW233VYURVEcPny4KJfLxdTU1HyMuyDNZI9vuOGG4sknnyyKoihGRkaKSy65pDh+/Pg8TLuwHTx48EMfMPvlL3857QGzzs7OhtdraqyL4n+eevv0pz9dtLW1FQ8++GBRFEVx//33F4ODg0VRFMW///3vYtOmTcWnPvWporOzs3j11VebPdJZp9EeX3/99cXy5cuLtWvXFmvXri2+/OUvz+e4C1KjPf5PYn36Gu3z8ePHi3vuuadYtWpVsWbNmqK/v38+x12QGu3xyy+/XHzuc58rOjo6irVr1xa//vWv53PcBWnz5s3Fxz/+8aK1tbUolUrFT37yk+Lxxx8vHn/88aIo/ufv8V133VW0tbUVa9asmdH3C28wA4DkPDEAAMmJNQAkJ9YAkJxYA0ByYg0AyYk1ACQn1gCQnFgDQHL/Dw/GTjSFR/inAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].deltaEta_ht2_ltop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].deltaEta_ht2_ltop, histtype = \"step\", linewidth=3.0, bins=30, range=(0,4), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('deltaEta_ht2_ltop')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "13976142", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Mass_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Mass_ht1_ht2, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Mass_ht1_ht2')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "id": "5dee41ca", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Mass_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Mass_ht1_ht3, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Mass_ht1_ht3')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "c591cffd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Mass_ht2_ht3, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Mass_ht2_ht3, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Mass_ht2_ht3')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "a8a60e93", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(training_data[training_data.y==0].Pt_h1, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"wrong\", density=True)\n", + "plt.hist(training_data[training_data.y==1].Pt_h1, histtype = \"step\", linewidth=3.0, bins=60, range=(0,600), label=\"correct\", density=True)\n", + "plt.ylabel('Events')\n", + "plt.xlabel('Pt_h1')\n", + "plt.title('The correct vs wrong provenance normalized')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "fbe73c8b", + "metadata": {}, + "outputs": [], + "source": [ + "corr_matrix = training_data.corr(method='pearson')" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "f614dce3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>deltaEta_H_htop</th>\n", + " <th>deltaEta_htop_ltop</th>\n", + " <th>deltaPhi_H_htop</th>\n", + " <th>deltaPhi_H_ltop</th>\n", + " <th>deltaPhi_htop_ltop</th>\n", + " <th>Eta_H</th>\n", + " <th>Phi_H</th>\n", + " <th>Pt_H</th>\n", + " <th>Phi_htop</th>\n", + " <th>Pt_htop</th>\n", + " <th>...</th>\n", + " <th>deltaEta_h2_ht3</th>\n", + " <th>deltaPt_h1_ht2</th>\n", + " <th>deltaPt_h2_ht3</th>\n", + " <th>deltaPt_ht2_ltop</th>\n", + " <th>deltaPt_ht3_ltop</th>\n", + " <th>deltaPhi_ht3_ltop</th>\n", + " <th>Mass_ht1_ht2</th>\n", + " <th>Mass_ht1_ht3</th>\n", + " <th>Mass_ht2_ht3</th>\n", + " <th>y</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>deltaEta_H_htop</th>\n", + " <td>1.000000</td>\n", + " <td>0.299874</td>\n", + " <td>-0.000091</td>\n", + " <td>0.001859</td>\n", + " <td>-0.000969</td>\n", + " <td>0.002532</td>\n", + " <td>0.000118</td>\n", + " <td>-0.131934</td>\n", + " <td>0.000563</td>\n", + " <td>-0.169621</td>\n", + " <td>...</td>\n", + " <td>0.296973</td>\n", + " <td>-0.021005</td>\n", + " <td>-0.013521</td>\n", + " <td>-0.011368</td>\n", + " <td>-0.013462</td>\n", + " <td>0.000844</td>\n", + " <td>0.074040</td>\n", + " <td>0.072955</td>\n", + " <td>0.075165</td>\n", + " <td>-0.039020</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaEta_htop_ltop</th>\n", + " <td>0.299874</td>\n", + " <td>1.000000</td>\n", + " <td>0.000461</td>\n", + " <td>-0.000027</td>\n", + " <td>-0.000303</td>\n", + " <td>0.001255</td>\n", + " <td>0.000133</td>\n", + " <td>-0.021023</td>\n", + " <td>0.000465</td>\n", + " <td>-0.204316</td>\n", + " <td>...</td>\n", + " <td>0.066599</td>\n", + " <td>-0.007563</td>\n", + " <td>-0.009576</td>\n", + " <td>-0.023928</td>\n", + " <td>-0.026436</td>\n", + " <td>0.000943</td>\n", + " <td>0.080724</td>\n", + " <td>0.079824</td>\n", + " <td>0.079640</td>\n", + " <td>-0.007711</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_H_htop</th>\n", + " <td>-0.000091</td>\n", + " <td>0.000461</td>\n", + " <td>1.000000</td>\n", + " <td>-0.147611</td>\n", + " <td>0.128700</td>\n", + " <td>0.001314</td>\n", + " <td>-0.003046</td>\n", + " <td>-0.000647</td>\n", + " <td>0.002475</td>\n", + " <td>0.000258</td>\n", + " <td>...</td>\n", + " <td>-0.001138</td>\n", + " <td>0.001126</td>\n", + " <td>-0.000412</td>\n", + " <td>0.000276</td>\n", + " <td>-0.000160</td>\n", + " <td>0.052822</td>\n", + " <td>0.000586</td>\n", + " <td>0.000020</td>\n", + " <td>0.000161</td>\n", + " <td>0.000770</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_H_ltop</th>\n", + " <td>0.001859</td>\n", + " <td>-0.000027</td>\n", + " <td>-0.147611</td>\n", + " <td>1.000000</td>\n", + " <td>-0.169635</td>\n", + " <td>-0.000657</td>\n", + " <td>-0.001650</td>\n", + " <td>-0.000346</td>\n", + " <td>-0.001246</td>\n", + " <td>-0.000327</td>\n", + " <td>...</td>\n", + " <td>0.000261</td>\n", + " <td>0.000216</td>\n", + " <td>-0.000699</td>\n", + " <td>-0.000873</td>\n", + " <td>-0.001683</td>\n", + " <td>-0.086522</td>\n", + " <td>-0.000894</td>\n", + " <td>-0.001486</td>\n", + " <td>-0.000579</td>\n", + " <td>0.000192</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_htop_ltop</th>\n", + " <td>-0.000969</td>\n", + " <td>-0.000303</td>\n", + " <td>0.128700</td>\n", + " <td>-0.169635</td>\n", + " <td>1.000000</td>\n", + " <td>-0.000915</td>\n", + " <td>0.000310</td>\n", + " <td>0.000685</td>\n", + " <td>-0.000956</td>\n", + " <td>-0.000704</td>\n", + " <td>...</td>\n", + " <td>-0.000244</td>\n", + " <td>-0.000184</td>\n", + " <td>0.000019</td>\n", + " <td>0.001241</td>\n", + " <td>0.001740</td>\n", + " <td>0.261707</td>\n", + " <td>-0.000433</td>\n", + " <td>-0.000074</td>\n", + " <td>0.000483</td>\n", + " <td>-0.000620</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Eta_H</th>\n", + " <td>0.002532</td>\n", + " <td>0.001255</td>\n", + " <td>0.001314</td>\n", + " <td>-0.000657</td>\n", + " <td>-0.000915</td>\n", + " <td>1.000000</td>\n", + " <td>-0.000436</td>\n", + " <td>-0.001468</td>\n", + " <td>-0.001227</td>\n", + " <td>-0.002700</td>\n", + " <td>...</td>\n", + " <td>0.001810</td>\n", + " <td>-0.001171</td>\n", + " <td>-0.000907</td>\n", + " <td>0.000172</td>\n", + " <td>-0.000287</td>\n", + " <td>0.001238</td>\n", + " <td>-0.000099</td>\n", + " <td>-0.001708</td>\n", + " <td>-0.000198</td>\n", + " <td>0.000133</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Phi_H</th>\n", + " <td>0.000118</td>\n", + " <td>0.000133</td>\n", + " <td>-0.003046</td>\n", + " <td>-0.001650</td>\n", + " <td>0.000310</td>\n", + " <td>-0.000436</td>\n", + " <td>1.000000</td>\n", + " <td>-0.001132</td>\n", + " <td>-0.133971</td>\n", + " <td>0.000573</td>\n", + " <td>...</td>\n", + " <td>0.000577</td>\n", + " <td>-0.000700</td>\n", + " <td>0.001233</td>\n", + " <td>0.001619</td>\n", + " <td>0.001233</td>\n", + " <td>-0.000057</td>\n", + " <td>0.001079</td>\n", + " <td>0.001236</td>\n", + " <td>0.001985</td>\n", + " <td>-0.000178</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Pt_H</th>\n", + " <td>-0.131934</td>\n", + " <td>-0.021023</td>\n", + " <td>-0.000647</td>\n", + " <td>-0.000346</td>\n", + " <td>0.000685</td>\n", + " <td>-0.001468</td>\n", + " <td>-0.001132</td>\n", + " <td>1.000000</td>\n", + " <td>0.001243</td>\n", + " <td>0.212049</td>\n", + " <td>...</td>\n", + " <td>-0.034921</td>\n", + " <td>0.406463</td>\n", + " <td>0.343473</td>\n", + " <td>0.129514</td>\n", + " <td>0.128856</td>\n", + " <td>-0.000336</td>\n", + " <td>0.049855</td>\n", + " <td>0.047562</td>\n", + " <td>0.044648</td>\n", + " <td>0.064776</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Phi_htop</th>\n", + " <td>0.000563</td>\n", + " <td>0.000465</td>\n", + " <td>0.002475</td>\n", + " <td>-0.001246</td>\n", + " <td>-0.000956</td>\n", + " <td>-0.001227</td>\n", + " <td>-0.133971</td>\n", + " <td>0.001243</td>\n", + " <td>1.000000</td>\n", + " <td>0.000502</td>\n", + " <td>...</td>\n", + " <td>0.000833</td>\n", + " <td>-0.001630</td>\n", + " <td>-0.000489</td>\n", + " <td>-0.001215</td>\n", + " <td>-0.000217</td>\n", + " <td>-0.000588</td>\n", + " <td>-0.000888</td>\n", + " <td>-0.001236</td>\n", + " <td>-0.001465</td>\n", + " <td>0.000989</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Pt_htop</th>\n", + " <td>-0.169621</td>\n", + " <td>-0.204316</td>\n", + " <td>0.000258</td>\n", + " <td>-0.000327</td>\n", + " <td>-0.000704</td>\n", + " <td>-0.002700</td>\n", + " <td>0.000573</td>\n", + " <td>0.212049</td>\n", + " <td>0.000502</td>\n", + " <td>1.000000</td>\n", + " <td>...</td>\n", + " <td>-0.018447</td>\n", + " <td>0.264552</td>\n", + " <td>0.239842</td>\n", + " <td>0.268884</td>\n", + " <td>0.270231</td>\n", + " <td>0.000046</td>\n", + " <td>0.157120</td>\n", + " <td>0.153855</td>\n", + " <td>0.143890</td>\n", + " <td>0.185565</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Phi_ltop</th>\n", + " <td>-0.000182</td>\n", + " <td>0.000005</td>\n", + " <td>-0.000234</td>\n", + " <td>0.000632</td>\n", + " <td>0.002354</td>\n", + " <td>0.001076</td>\n", + " <td>-0.071729</td>\n", + " <td>0.001679</td>\n", + " <td>-0.101548</td>\n", + " <td>0.001309</td>\n", + " <td>...</td>\n", + " <td>0.000267</td>\n", + " <td>0.002957</td>\n", + " <td>0.002172</td>\n", + " <td>0.001065</td>\n", + " <td>-0.000002</td>\n", + " <td>0.001036</td>\n", + " <td>0.002072</td>\n", + " <td>0.000292</td>\n", + " <td>0.002406</td>\n", + " <td>-0.002181</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Pt_ltop</th>\n", + " <td>-0.019322</td>\n", + " <td>-0.078853</td>\n", + " <td>-0.000059</td>\n", + " <td>-0.000552</td>\n", + " <td>0.000408</td>\n", + " <td>-0.000539</td>\n", + " <td>0.000804</td>\n", + " <td>0.101444</td>\n", + " <td>0.001074</td>\n", + " <td>0.143195</td>\n", + " <td>...</td>\n", + " <td>-0.001326</td>\n", + " <td>0.088697</td>\n", + " <td>0.074320</td>\n", + " <td>0.536476</td>\n", + " <td>0.558840</td>\n", + " <td>-0.000354</td>\n", + " <td>0.030826</td>\n", + " <td>0.029595</td>\n", + " <td>0.027965</td>\n", + " <td>0.043311</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Mass_H</th>\n", + " <td>0.055453</td>\n", + " <td>-0.000219</td>\n", + " <td>0.000501</td>\n", + " <td>0.001499</td>\n", + " <td>-0.000203</td>\n", + " <td>-0.000182</td>\n", + " <td>-0.001288</td>\n", + " <td>0.254303</td>\n", + " <td>0.001312</td>\n", + " <td>0.060365</td>\n", + " <td>...</td>\n", + " <td>0.077872</td>\n", + " <td>0.256478</td>\n", + " <td>0.272835</td>\n", + " <td>0.057538</td>\n", + " <td>0.054190</td>\n", + " <td>-0.001059</td>\n", + " <td>0.037975</td>\n", + " <td>0.038694</td>\n", + " <td>0.043198</td>\n", + " <td>-0.080311</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Mass_htop</th>\n", + " <td>0.102209</td>\n", + " <td>0.109577</td>\n", + " <td>0.000253</td>\n", + " <td>-0.001339</td>\n", + " <td>-0.000094</td>\n", + " <td>-0.000871</td>\n", + " <td>0.001850</td>\n", + " <td>0.065862</td>\n", + " <td>-0.001579</td>\n", + " <td>0.210367</td>\n", + " <td>...</td>\n", + " <td>0.077578</td>\n", + " <td>0.258210</td>\n", + " <td>0.292129</td>\n", + " <td>0.270898</td>\n", + " <td>0.262190</td>\n", + " <td>-0.000086</td>\n", + " <td>0.728023</td>\n", + " <td>0.730672</td>\n", + " <td>0.735585</td>\n", + " <td>-0.179578</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_h1_h2</th>\n", + " <td>0.000831</td>\n", + " <td>-0.000343</td>\n", + " <td>-0.000785</td>\n", + " <td>-0.001886</td>\n", + " <td>0.000166</td>\n", + " <td>-0.001231</td>\n", + " <td>-0.000006</td>\n", + " <td>-0.000032</td>\n", + " <td>-0.000611</td>\n", + " <td>0.000447</td>\n", + " <td>...</td>\n", + " <td>-0.000083</td>\n", + " <td>0.001947</td>\n", + " <td>0.001264</td>\n", + " <td>0.000271</td>\n", + " <td>0.000223</td>\n", + " <td>-0.000233</td>\n", + " <td>0.000306</td>\n", + " <td>-0.000324</td>\n", + " <td>-0.000039</td>\n", + " <td>0.000386</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_h1_h2</th>\n", + " <td>-0.080555</td>\n", + " <td>-0.019738</td>\n", + " <td>0.000242</td>\n", + " <td>-0.000394</td>\n", + " <td>0.000409</td>\n", + " <td>-0.001005</td>\n", + " <td>-0.001769</td>\n", + " <td>0.768178</td>\n", + " <td>0.001089</td>\n", + " <td>0.171918</td>\n", + " <td>...</td>\n", + " <td>-0.016399</td>\n", + " <td>0.427202</td>\n", + " <td>0.363802</td>\n", + " <td>0.112712</td>\n", + " <td>0.110797</td>\n", + " <td>-0.000568</td>\n", + " <td>0.050090</td>\n", + " <td>0.049346</td>\n", + " <td>0.049300</td>\n", + " <td>0.014952</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Eta_h1</th>\n", + " <td>0.001602</td>\n", + " <td>0.002080</td>\n", + " <td>0.000206</td>\n", + " <td>-0.000437</td>\n", + " <td>-0.000976</td>\n", + " <td>0.733495</td>\n", + " <td>-0.000591</td>\n", + " <td>-0.001887</td>\n", + " <td>-0.000596</td>\n", + " <td>-0.002510</td>\n", + " <td>...</td>\n", + " <td>0.000019</td>\n", + " <td>-0.001416</td>\n", + " <td>-0.001300</td>\n", + " <td>-0.000589</td>\n", + " <td>0.000276</td>\n", + " <td>0.001115</td>\n", + " <td>-0.000574</td>\n", + " <td>-0.001222</td>\n", + " <td>0.000088</td>\n", + " <td>0.000406</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Phi_h1</th>\n", + " <td>-0.000536</td>\n", + " <td>-0.001152</td>\n", + " <td>0.000159</td>\n", + " <td>-0.000606</td>\n", + " <td>0.001045</td>\n", + " <td>-0.000322</td>\n", + " <td>0.420790</td>\n", + " <td>-0.000026</td>\n", + " <td>-0.092354</td>\n", + " <td>0.001289</td>\n", + " <td>...</td>\n", + " <td>0.000805</td>\n", + " <td>-0.000455</td>\n", + " <td>0.002578</td>\n", + " <td>0.002096</td>\n", + " <td>0.001528</td>\n", + " <td>-0.000220</td>\n", + " <td>0.002245</td>\n", + " <td>0.002293</td>\n", + " <td>0.002194</td>\n", + " <td>-0.000817</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Pt_h1</th>\n", + " <td>-0.055482</td>\n", + " <td>-0.014215</td>\n", + " <td>0.000487</td>\n", + " <td>0.000089</td>\n", + " <td>-0.000242</td>\n", + " <td>-0.000763</td>\n", + " <td>-0.000782</td>\n", + " <td>0.620861</td>\n", + " <td>0.000271</td>\n", + " <td>0.163903</td>\n", + " <td>...</td>\n", + " <td>-0.003372</td>\n", + " <td>0.552640</td>\n", + " <td>0.067020</td>\n", + " <td>0.081868</td>\n", + " <td>0.085421</td>\n", + " <td>-0.001264</td>\n", + " <td>0.019606</td>\n", + " <td>0.014756</td>\n", + " <td>0.009779</td>\n", + " <td>0.149667</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaEta_ht1_ht2</th>\n", + " <td>0.063369</td>\n", + " <td>0.043917</td>\n", + " <td>0.000247</td>\n", + " <td>-0.000755</td>\n", + " <td>-0.000989</td>\n", + " <td>-0.000323</td>\n", + " <td>-0.000078</td>\n", + " <td>-0.014376</td>\n", + " <td>0.001544</td>\n", + " <td>-0.094746</td>\n", + " <td>...</td>\n", + " <td>0.014402</td>\n", + " <td>-0.014429</td>\n", + " <td>0.020339</td>\n", + " <td>-0.010031</td>\n", + " <td>-0.001019</td>\n", + " <td>-0.000141</td>\n", + " <td>0.413083</td>\n", + " <td>0.093578</td>\n", + " <td>0.102212</td>\n", + " <td>-0.147450</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_ht1_ht2</th>\n", + " <td>-0.000670</td>\n", + " <td>-0.000633</td>\n", + " <td>0.000674</td>\n", + " <td>0.000825</td>\n", + " <td>0.000120</td>\n", + " <td>0.001032</td>\n", + " <td>-0.000267</td>\n", + " <td>0.001634</td>\n", + " <td>0.000666</td>\n", + " <td>0.000800</td>\n", + " <td>...</td>\n", + " <td>-0.000210</td>\n", + " <td>0.001235</td>\n", + " <td>0.001387</td>\n", + " <td>0.000262</td>\n", + " <td>0.000746</td>\n", + " <td>-0.001660</td>\n", + " <td>-0.000844</td>\n", + " <td>0.000042</td>\n", + " <td>-0.000399</td>\n", + " <td>-0.000265</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_ht1_ht3</th>\n", + " <td>-0.000126</td>\n", + " <td>0.000914</td>\n", + " <td>-0.000822</td>\n", + " <td>-0.000568</td>\n", + " <td>-0.001055</td>\n", + " <td>-0.001187</td>\n", + " <td>0.000321</td>\n", + " <td>0.000905</td>\n", + " <td>0.002207</td>\n", + " <td>-0.000511</td>\n", + " <td>...</td>\n", + " <td>-0.000370</td>\n", + " <td>0.000211</td>\n", + " <td>0.000481</td>\n", + " <td>0.000241</td>\n", + " <td>-0.000346</td>\n", + " <td>0.075773</td>\n", + " <td>0.000309</td>\n", + " <td>-0.000724</td>\n", + " <td>0.001154</td>\n", + " <td>-0.000460</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_ht1_ht2</th>\n", + " <td>-0.037986</td>\n", + " <td>-0.042999</td>\n", + " <td>0.000103</td>\n", + " <td>0.000565</td>\n", + " <td>-0.000312</td>\n", + " <td>-0.001517</td>\n", + " <td>0.000230</td>\n", + " <td>0.130988</td>\n", + " <td>-0.000796</td>\n", + " <td>0.533679</td>\n", + " <td>...</td>\n", + " <td>-0.003057</td>\n", + " <td>0.371457</td>\n", + " <td>0.106111</td>\n", + " <td>0.373114</td>\n", + " <td>0.113120</td>\n", + " <td>-0.000126</td>\n", + " <td>0.339425</td>\n", + " <td>0.253446</td>\n", + " <td>0.245728</td>\n", + " <td>0.001919</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_ht1_ht3</th>\n", + " <td>-0.044977</td>\n", + " <td>-0.046219</td>\n", + " <td>-0.000570</td>\n", + " <td>-0.000337</td>\n", + " <td>0.000618</td>\n", + " <td>-0.000521</td>\n", + " <td>0.001194</td>\n", + " <td>0.146069</td>\n", + " <td>-0.001935</td>\n", + " <td>0.575220</td>\n", + " <td>...</td>\n", + " <td>-0.016048</td>\n", + " <td>0.109868</td>\n", + " <td>0.341993</td>\n", + " <td>0.107385</td>\n", + " <td>0.366892</td>\n", + " <td>0.001197</td>\n", + " <td>0.238736</td>\n", + " <td>0.316115</td>\n", + " <td>0.220690</td>\n", + " <td>0.136439</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Eta_ht1</th>\n", + " <td>-0.000080</td>\n", + " <td>0.000846</td>\n", + " <td>-0.000251</td>\n", + " <td>-0.000254</td>\n", + " <td>-0.000948</td>\n", + " <td>0.334209</td>\n", + " <td>0.001267</td>\n", + " <td>-0.001184</td>\n", + " <td>-0.001307</td>\n", + " <td>-0.002605</td>\n", + " <td>...</td>\n", + " <td>-0.000059</td>\n", + " <td>-0.000521</td>\n", + " <td>-0.002007</td>\n", + " <td>-0.000230</td>\n", + " <td>-0.000473</td>\n", + " <td>0.000527</td>\n", + " <td>0.000361</td>\n", + " <td>0.000350</td>\n", + " <td>-0.001246</td>\n", + " <td>0.000085</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Phi_ht1</th>\n", + " <td>0.000035</td>\n", + " <td>0.000490</td>\n", + " <td>0.000612</td>\n", + " <td>0.000074</td>\n", + " <td>-0.000276</td>\n", + " <td>0.001523</td>\n", + " <td>-0.074521</td>\n", + " <td>0.000845</td>\n", + " <td>0.319422</td>\n", + " <td>0.000794</td>\n", + " <td>...</td>\n", + " <td>0.000222</td>\n", + " <td>-0.000299</td>\n", + " <td>0.000777</td>\n", + " <td>-0.000463</td>\n", + " <td>0.000700</td>\n", + " <td>-0.000429</td>\n", + " <td>-0.000897</td>\n", + " <td>-0.001126</td>\n", + " <td>0.000397</td>\n", + " <td>0.000411</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Pt_ht1</th>\n", + " <td>-0.025621</td>\n", + " <td>-0.014453</td>\n", + " <td>-0.000028</td>\n", + " <td>-0.000420</td>\n", + " <td>-0.000278</td>\n", + " <td>-0.001288</td>\n", + " <td>0.000195</td>\n", + " <td>0.122450</td>\n", + " <td>0.000079</td>\n", + " <td>0.481736</td>\n", + " <td>...</td>\n", + " <td>-0.001615</td>\n", + " <td>0.082685</td>\n", + " <td>0.047603</td>\n", + " <td>0.077938</td>\n", + " <td>0.085181</td>\n", + " <td>-0.000022</td>\n", + " <td>0.432054</td>\n", + " <td>0.424790</td>\n", + " <td>-0.003202</td>\n", + " <td>0.219387</td>\n", + " </tr>\n", + " <tr>\n", + " <th>AvEta_ht</th>\n", + " <td>0.000036</td>\n", + " <td>0.001034</td>\n", + " <td>-0.000454</td>\n", + " <td>-0.000124</td>\n", + " <td>-0.000724</td>\n", + " <td>0.454589</td>\n", + " <td>0.001240</td>\n", + " <td>-0.002187</td>\n", + " <td>-0.000698</td>\n", + " <td>-0.003275</td>\n", + " <td>...</td>\n", + " <td>0.000443</td>\n", + " <td>-0.001955</td>\n", + " <td>-0.002228</td>\n", + " <td>-0.000450</td>\n", + " <td>-0.001120</td>\n", + " <td>0.000922</td>\n", + " <td>-0.000035</td>\n", + " <td>-0.000757</td>\n", + " <td>-0.000250</td>\n", + " <td>-0.000101</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaEta_h2_ht3</th>\n", + " <td>0.296973</td>\n", + " <td>0.066599</td>\n", + " <td>-0.001138</td>\n", + " <td>0.000261</td>\n", + " <td>-0.000244</td>\n", + " <td>0.001810</td>\n", + " <td>0.000577</td>\n", + " <td>-0.034921</td>\n", + " <td>0.000833</td>\n", + " <td>-0.018447</td>\n", + " <td>...</td>\n", + " <td>1.000000</td>\n", + " <td>-0.002238</td>\n", + " <td>-0.033744</td>\n", + " <td>-0.002488</td>\n", + " <td>-0.016309</td>\n", + " <td>0.000388</td>\n", + " <td>0.012129</td>\n", + " <td>0.078989</td>\n", + " <td>0.077924</td>\n", + " <td>0.001457</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_h1_ht2</th>\n", + " <td>-0.021005</td>\n", + " <td>-0.007563</td>\n", + " <td>0.001126</td>\n", + " <td>0.000216</td>\n", + " <td>-0.000184</td>\n", + " <td>-0.001171</td>\n", + " <td>-0.000700</td>\n", + " <td>0.406463</td>\n", + " <td>-0.001630</td>\n", + " <td>0.264552</td>\n", + " <td>...</td>\n", + " <td>-0.002238</td>\n", + " <td>1.000000</td>\n", + " <td>0.115144</td>\n", + " <td>0.377629</td>\n", + " <td>0.114487</td>\n", + " <td>-0.000853</td>\n", + " <td>0.251743</td>\n", + " <td>0.052175</td>\n", + " <td>0.250815</td>\n", + " <td>-0.009821</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_h2_ht3</th>\n", + " <td>-0.013521</td>\n", + " <td>-0.009576</td>\n", + " <td>-0.000412</td>\n", + " <td>-0.000699</td>\n", + " <td>0.000019</td>\n", + " <td>-0.000907</td>\n", + " <td>0.001233</td>\n", + " <td>0.343473</td>\n", + " <td>-0.000489</td>\n", + " <td>0.239842</td>\n", + " <td>...</td>\n", + " <td>-0.033744</td>\n", + " <td>0.115144</td>\n", + " <td>1.000000</td>\n", + " <td>0.117645</td>\n", + " <td>0.374890</td>\n", + " <td>0.000076</td>\n", + " <td>0.069751</td>\n", + " <td>0.276359</td>\n", + " <td>0.281387</td>\n", + " <td>-0.159342</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_ht2_ltop</th>\n", + " <td>-0.011368</td>\n", + " <td>-0.023928</td>\n", + " <td>0.000276</td>\n", + " <td>-0.000873</td>\n", + " <td>0.001241</td>\n", + " <td>0.000172</td>\n", + " <td>0.001619</td>\n", + " <td>0.129514</td>\n", + " <td>-0.001215</td>\n", + " <td>0.268884</td>\n", + " <td>...</td>\n", + " <td>-0.002488</td>\n", + " <td>0.377629</td>\n", + " <td>0.117645</td>\n", + " <td>1.000000</td>\n", + " <td>0.414747</td>\n", + " <td>-0.000456</td>\n", + " <td>0.260432</td>\n", + " <td>0.059385</td>\n", + " <td>0.262686</td>\n", + " <td>-0.054051</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPt_ht3_ltop</th>\n", + " <td>-0.013462</td>\n", + " <td>-0.026436</td>\n", + " <td>-0.000160</td>\n", + " <td>-0.001683</td>\n", + " <td>0.001740</td>\n", + " <td>-0.000287</td>\n", + " <td>0.001233</td>\n", + " <td>0.128856</td>\n", + " <td>-0.000217</td>\n", + " <td>0.270231</td>\n", + " <td>...</td>\n", + " <td>-0.016309</td>\n", + " <td>0.114487</td>\n", + " <td>0.374890</td>\n", + " <td>0.414747</td>\n", + " <td>1.000000</td>\n", + " <td>0.000569</td>\n", + " <td>0.054892</td>\n", + " <td>0.253498</td>\n", + " <td>0.254706</td>\n", + " <td>-0.016416</td>\n", + " </tr>\n", + " <tr>\n", + " <th>deltaPhi_ht3_ltop</th>\n", + " <td>0.000844</td>\n", + " <td>0.000943</td>\n", + " <td>0.052822</td>\n", + " <td>-0.086522</td>\n", + " <td>0.261707</td>\n", + " <td>0.001238</td>\n", + " <td>-0.000057</td>\n", + " <td>-0.000336</td>\n", + " <td>-0.000588</td>\n", + " <td>0.000046</td>\n", + " <td>...</td>\n", + " <td>0.000388</td>\n", + " <td>-0.000853</td>\n", + " <td>0.000076</td>\n", + " <td>-0.000456</td>\n", + " <td>0.000569</td>\n", + " <td>1.000000</td>\n", + " <td>0.000064</td>\n", + " <td>-0.000050</td>\n", + " <td>-0.000098</td>\n", + " <td>-0.000924</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Mass_ht1_ht2</th>\n", + " <td>0.074040</td>\n", + " <td>0.080724</td>\n", + " <td>0.000586</td>\n", + " <td>-0.000894</td>\n", + " <td>-0.000433</td>\n", + " <td>-0.000099</td>\n", + " <td>0.001079</td>\n", + " <td>0.049855</td>\n", + " <td>-0.000888</td>\n", + " <td>0.157120</td>\n", + " <td>...</td>\n", + " <td>0.012129</td>\n", + " <td>0.251743</td>\n", + " <td>0.069751</td>\n", + " <td>0.260432</td>\n", + " <td>0.054892</td>\n", + " <td>0.000064</td>\n", + " <td>1.000000</td>\n", + " <td>0.307124</td>\n", + " <td>0.314740</td>\n", + " <td>-0.098537</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Mass_ht1_ht3</th>\n", + " <td>0.072955</td>\n", + " <td>0.079824</td>\n", + " <td>0.000020</td>\n", + " <td>-0.001486</td>\n", + " <td>-0.000074</td>\n", + " <td>-0.001708</td>\n", + " <td>0.001236</td>\n", + " <td>0.047562</td>\n", + " <td>-0.001236</td>\n", + " <td>0.153855</td>\n", + " <td>...</td>\n", + " <td>0.078989</td>\n", + " <td>0.052175</td>\n", + " <td>0.276359</td>\n", + " <td>0.059385</td>\n", + " <td>0.253498</td>\n", + " <td>-0.000050</td>\n", + " <td>0.307124</td>\n", + " <td>1.000000</td>\n", + " <td>0.318985</td>\n", + " <td>-0.124635</td>\n", + " </tr>\n", + " <tr>\n", + " <th>Mass_ht2_ht3</th>\n", + " <td>0.075165</td>\n", + " <td>0.079640</td>\n", + " <td>0.000161</td>\n", + " <td>-0.000579</td>\n", + " <td>0.000483</td>\n", + " <td>-0.000198</td>\n", + " <td>0.001985</td>\n", + " <td>0.044648</td>\n", + " <td>-0.001465</td>\n", + " <td>0.143890</td>\n", + " <td>...</td>\n", + " <td>0.077924</td>\n", + " <td>0.250815</td>\n", + " <td>0.281387</td>\n", + " <td>0.262686</td>\n", + " <td>0.254706</td>\n", + " <td>-0.000098</td>\n", + " <td>0.314740</td>\n", + " <td>0.318985</td>\n", + " <td>1.000000</td>\n", + " <td>-0.163800</td>\n", + " </tr>\n", + " <tr>\n", + " <th>y</th>\n", + " <td>-0.039020</td>\n", + " <td>-0.007711</td>\n", + " <td>0.000770</td>\n", + " <td>0.000192</td>\n", + " <td>-0.000620</td>\n", + " <td>0.000133</td>\n", + " <td>-0.000178</td>\n", + " <td>0.064776</td>\n", + " <td>0.000989</td>\n", + " <td>0.185565</td>\n", + " <td>...</td>\n", + " <td>0.001457</td>\n", + " <td>-0.009821</td>\n", + " <td>-0.159342</td>\n", + " <td>-0.054051</td>\n", + " <td>-0.016416</td>\n", + " <td>-0.000924</td>\n", + " <td>-0.098537</td>\n", + " <td>-0.124635</td>\n", + " <td>-0.163800</td>\n", + " <td>1.000000</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>38 rows × 38 columns</p>\n", + "</div>" + ], + "text/plain": [ + " deltaEta_H_htop deltaEta_htop_ltop deltaPhi_H_htop \\\n", + "deltaEta_H_htop 1.000000 0.299874 -0.000091 \n", + "deltaEta_htop_ltop 0.299874 1.000000 0.000461 \n", + "deltaPhi_H_htop -0.000091 0.000461 1.000000 \n", + "deltaPhi_H_ltop 0.001859 -0.000027 -0.147611 \n", + "deltaPhi_htop_ltop -0.000969 -0.000303 0.128700 \n", + "Eta_H 0.002532 0.001255 0.001314 \n", + "Phi_H 0.000118 0.000133 -0.003046 \n", + "Pt_H -0.131934 -0.021023 -0.000647 \n", + "Phi_htop 0.000563 0.000465 0.002475 \n", + "Pt_htop -0.169621 -0.204316 0.000258 \n", + "Phi_ltop -0.000182 0.000005 -0.000234 \n", + "Pt_ltop -0.019322 -0.078853 -0.000059 \n", + "Mass_H 0.055453 -0.000219 0.000501 \n", + "Mass_htop 0.102209 0.109577 0.000253 \n", + "deltaPhi_h1_h2 0.000831 -0.000343 -0.000785 \n", + "deltaPt_h1_h2 -0.080555 -0.019738 0.000242 \n", + "Eta_h1 0.001602 0.002080 0.000206 \n", + "Phi_h1 -0.000536 -0.001152 0.000159 \n", + "Pt_h1 -0.055482 -0.014215 0.000487 \n", + "deltaEta_ht1_ht2 0.063369 0.043917 0.000247 \n", + "deltaPhi_ht1_ht2 -0.000670 -0.000633 0.000674 \n", + "deltaPhi_ht1_ht3 -0.000126 0.000914 -0.000822 \n", + "deltaPt_ht1_ht2 -0.037986 -0.042999 0.000103 \n", + "deltaPt_ht1_ht3 -0.044977 -0.046219 -0.000570 \n", + "Eta_ht1 -0.000080 0.000846 -0.000251 \n", + "Phi_ht1 0.000035 0.000490 0.000612 \n", + "Pt_ht1 -0.025621 -0.014453 -0.000028 \n", + "AvEta_ht 0.000036 0.001034 -0.000454 \n", + "deltaEta_h2_ht3 0.296973 0.066599 -0.001138 \n", + "deltaPt_h1_ht2 -0.021005 -0.007563 0.001126 \n", + "deltaPt_h2_ht3 -0.013521 -0.009576 -0.000412 \n", + "deltaPt_ht2_ltop -0.011368 -0.023928 0.000276 \n", + "deltaPt_ht3_ltop -0.013462 -0.026436 -0.000160 \n", + "deltaPhi_ht3_ltop 0.000844 0.000943 0.052822 \n", + "Mass_ht1_ht2 0.074040 0.080724 0.000586 \n", + "Mass_ht1_ht3 0.072955 0.079824 0.000020 \n", + "Mass_ht2_ht3 0.075165 0.079640 0.000161 \n", + "y -0.039020 -0.007711 0.000770 \n", + "\n", + " deltaPhi_H_ltop deltaPhi_htop_ltop Eta_H Phi_H \\\n", + "deltaEta_H_htop 0.001859 -0.000969 0.002532 0.000118 \n", + "deltaEta_htop_ltop -0.000027 -0.000303 0.001255 0.000133 \n", + "deltaPhi_H_htop -0.147611 0.128700 0.001314 -0.003046 \n", + "deltaPhi_H_ltop 1.000000 -0.169635 -0.000657 -0.001650 \n", + "deltaPhi_htop_ltop -0.169635 1.000000 -0.000915 0.000310 \n", + "Eta_H -0.000657 -0.000915 1.000000 -0.000436 \n", + "Phi_H -0.001650 0.000310 -0.000436 1.000000 \n", + "Pt_H -0.000346 0.000685 -0.001468 -0.001132 \n", + "Phi_htop -0.001246 -0.000956 -0.001227 -0.133971 \n", + "Pt_htop -0.000327 -0.000704 -0.002700 0.000573 \n", + "Phi_ltop 0.000632 0.002354 0.001076 -0.071729 \n", + "Pt_ltop -0.000552 0.000408 -0.000539 0.000804 \n", + "Mass_H 0.001499 -0.000203 -0.000182 -0.001288 \n", + "Mass_htop -0.001339 -0.000094 -0.000871 0.001850 \n", + "deltaPhi_h1_h2 -0.001886 0.000166 -0.001231 -0.000006 \n", + "deltaPt_h1_h2 -0.000394 0.000409 -0.001005 -0.001769 \n", + "Eta_h1 -0.000437 -0.000976 0.733495 -0.000591 \n", + "Phi_h1 -0.000606 0.001045 -0.000322 0.420790 \n", + "Pt_h1 0.000089 -0.000242 -0.000763 -0.000782 \n", + "deltaEta_ht1_ht2 -0.000755 -0.000989 -0.000323 -0.000078 \n", + "deltaPhi_ht1_ht2 0.000825 0.000120 0.001032 -0.000267 \n", + "deltaPhi_ht1_ht3 -0.000568 -0.001055 -0.001187 0.000321 \n", + "deltaPt_ht1_ht2 0.000565 -0.000312 -0.001517 0.000230 \n", + "deltaPt_ht1_ht3 -0.000337 0.000618 -0.000521 0.001194 \n", + "Eta_ht1 -0.000254 -0.000948 0.334209 0.001267 \n", + "Phi_ht1 0.000074 -0.000276 0.001523 -0.074521 \n", + "Pt_ht1 -0.000420 -0.000278 -0.001288 0.000195 \n", + "AvEta_ht -0.000124 -0.000724 0.454589 0.001240 \n", + "deltaEta_h2_ht3 0.000261 -0.000244 0.001810 0.000577 \n", + "deltaPt_h1_ht2 0.000216 -0.000184 -0.001171 -0.000700 \n", + "deltaPt_h2_ht3 -0.000699 0.000019 -0.000907 0.001233 \n", + "deltaPt_ht2_ltop -0.000873 0.001241 0.000172 0.001619 \n", + "deltaPt_ht3_ltop -0.001683 0.001740 -0.000287 0.001233 \n", + "deltaPhi_ht3_ltop -0.086522 0.261707 0.001238 -0.000057 \n", + "Mass_ht1_ht2 -0.000894 -0.000433 -0.000099 0.001079 \n", + "Mass_ht1_ht3 -0.001486 -0.000074 -0.001708 0.001236 \n", + "Mass_ht2_ht3 -0.000579 0.000483 -0.000198 0.001985 \n", + "y 0.000192 -0.000620 0.000133 -0.000178 \n", + "\n", + " Pt_H Phi_htop Pt_htop ... deltaEta_h2_ht3 \\\n", + "deltaEta_H_htop -0.131934 0.000563 -0.169621 ... 0.296973 \n", + "deltaEta_htop_ltop -0.021023 0.000465 -0.204316 ... 0.066599 \n", + "deltaPhi_H_htop -0.000647 0.002475 0.000258 ... -0.001138 \n", + "deltaPhi_H_ltop -0.000346 -0.001246 -0.000327 ... 0.000261 \n", + "deltaPhi_htop_ltop 0.000685 -0.000956 -0.000704 ... -0.000244 \n", + "Eta_H -0.001468 -0.001227 -0.002700 ... 0.001810 \n", + "Phi_H -0.001132 -0.133971 0.000573 ... 0.000577 \n", + "Pt_H 1.000000 0.001243 0.212049 ... -0.034921 \n", + "Phi_htop 0.001243 1.000000 0.000502 ... 0.000833 \n", + "Pt_htop 0.212049 0.000502 1.000000 ... -0.018447 \n", + "Phi_ltop 0.001679 -0.101548 0.001309 ... 0.000267 \n", + "Pt_ltop 0.101444 0.001074 0.143195 ... -0.001326 \n", + "Mass_H 0.254303 0.001312 0.060365 ... 0.077872 \n", + "Mass_htop 0.065862 -0.001579 0.210367 ... 0.077578 \n", + "deltaPhi_h1_h2 -0.000032 -0.000611 0.000447 ... -0.000083 \n", + "deltaPt_h1_h2 0.768178 0.001089 0.171918 ... -0.016399 \n", + "Eta_h1 -0.001887 -0.000596 -0.002510 ... 0.000019 \n", + "Phi_h1 -0.000026 -0.092354 0.001289 ... 0.000805 \n", + "Pt_h1 0.620861 0.000271 0.163903 ... -0.003372 \n", + "deltaEta_ht1_ht2 -0.014376 0.001544 -0.094746 ... 0.014402 \n", + "deltaPhi_ht1_ht2 0.001634 0.000666 0.000800 ... -0.000210 \n", + "deltaPhi_ht1_ht3 0.000905 0.002207 -0.000511 ... -0.000370 \n", + "deltaPt_ht1_ht2 0.130988 -0.000796 0.533679 ... -0.003057 \n", + "deltaPt_ht1_ht3 0.146069 -0.001935 0.575220 ... -0.016048 \n", + "Eta_ht1 -0.001184 -0.001307 -0.002605 ... -0.000059 \n", + "Phi_ht1 0.000845 0.319422 0.000794 ... 0.000222 \n", + "Pt_ht1 0.122450 0.000079 0.481736 ... -0.001615 \n", + "AvEta_ht -0.002187 -0.000698 -0.003275 ... 0.000443 \n", + "deltaEta_h2_ht3 -0.034921 0.000833 -0.018447 ... 1.000000 \n", + "deltaPt_h1_ht2 0.406463 -0.001630 0.264552 ... -0.002238 \n", + "deltaPt_h2_ht3 0.343473 -0.000489 0.239842 ... -0.033744 \n", + "deltaPt_ht2_ltop 0.129514 -0.001215 0.268884 ... -0.002488 \n", + "deltaPt_ht3_ltop 0.128856 -0.000217 0.270231 ... -0.016309 \n", + "deltaPhi_ht3_ltop -0.000336 -0.000588 0.000046 ... 0.000388 \n", + "Mass_ht1_ht2 0.049855 -0.000888 0.157120 ... 0.012129 \n", + "Mass_ht1_ht3 0.047562 -0.001236 0.153855 ... 0.078989 \n", + "Mass_ht2_ht3 0.044648 -0.001465 0.143890 ... 0.077924 \n", + "y 0.064776 0.000989 0.185565 ... 0.001457 \n", + "\n", + " deltaPt_h1_ht2 deltaPt_h2_ht3 deltaPt_ht2_ltop \\\n", + "deltaEta_H_htop -0.021005 -0.013521 -0.011368 \n", + "deltaEta_htop_ltop -0.007563 -0.009576 -0.023928 \n", + "deltaPhi_H_htop 0.001126 -0.000412 0.000276 \n", + "deltaPhi_H_ltop 0.000216 -0.000699 -0.000873 \n", + "deltaPhi_htop_ltop -0.000184 0.000019 0.001241 \n", + "Eta_H -0.001171 -0.000907 0.000172 \n", + "Phi_H -0.000700 0.001233 0.001619 \n", + "Pt_H 0.406463 0.343473 0.129514 \n", + "Phi_htop -0.001630 -0.000489 -0.001215 \n", + "Pt_htop 0.264552 0.239842 0.268884 \n", + "Phi_ltop 0.002957 0.002172 0.001065 \n", + "Pt_ltop 0.088697 0.074320 0.536476 \n", + "Mass_H 0.256478 0.272835 0.057538 \n", + "Mass_htop 0.258210 0.292129 0.270898 \n", + "deltaPhi_h1_h2 0.001947 0.001264 0.000271 \n", + "deltaPt_h1_h2 0.427202 0.363802 0.112712 \n", + "Eta_h1 -0.001416 -0.001300 -0.000589 \n", + "Phi_h1 -0.000455 0.002578 0.002096 \n", + "Pt_h1 0.552640 0.067020 0.081868 \n", + "deltaEta_ht1_ht2 -0.014429 0.020339 -0.010031 \n", + "deltaPhi_ht1_ht2 0.001235 0.001387 0.000262 \n", + "deltaPhi_ht1_ht3 0.000211 0.000481 0.000241 \n", + "deltaPt_ht1_ht2 0.371457 0.106111 0.373114 \n", + "deltaPt_ht1_ht3 0.109868 0.341993 0.107385 \n", + "Eta_ht1 -0.000521 -0.002007 -0.000230 \n", + "Phi_ht1 -0.000299 0.000777 -0.000463 \n", + "Pt_ht1 0.082685 0.047603 0.077938 \n", + "AvEta_ht -0.001955 -0.002228 -0.000450 \n", + "deltaEta_h2_ht3 -0.002238 -0.033744 -0.002488 \n", + "deltaPt_h1_ht2 1.000000 0.115144 0.377629 \n", + "deltaPt_h2_ht3 0.115144 1.000000 0.117645 \n", + "deltaPt_ht2_ltop 0.377629 0.117645 1.000000 \n", + "deltaPt_ht3_ltop 0.114487 0.374890 0.414747 \n", + "deltaPhi_ht3_ltop -0.000853 0.000076 -0.000456 \n", + "Mass_ht1_ht2 0.251743 0.069751 0.260432 \n", + "Mass_ht1_ht3 0.052175 0.276359 0.059385 \n", + "Mass_ht2_ht3 0.250815 0.281387 0.262686 \n", + "y -0.009821 -0.159342 -0.054051 \n", + "\n", + " deltaPt_ht3_ltop deltaPhi_ht3_ltop Mass_ht1_ht2 \\\n", + "deltaEta_H_htop -0.013462 0.000844 0.074040 \n", + "deltaEta_htop_ltop -0.026436 0.000943 0.080724 \n", + "deltaPhi_H_htop -0.000160 0.052822 0.000586 \n", + "deltaPhi_H_ltop -0.001683 -0.086522 -0.000894 \n", + "deltaPhi_htop_ltop 0.001740 0.261707 -0.000433 \n", + "Eta_H -0.000287 0.001238 -0.000099 \n", + "Phi_H 0.001233 -0.000057 0.001079 \n", + "Pt_H 0.128856 -0.000336 0.049855 \n", + "Phi_htop -0.000217 -0.000588 -0.000888 \n", + "Pt_htop 0.270231 0.000046 0.157120 \n", + "Phi_ltop -0.000002 0.001036 0.002072 \n", + "Pt_ltop 0.558840 -0.000354 0.030826 \n", + "Mass_H 0.054190 -0.001059 0.037975 \n", + "Mass_htop 0.262190 -0.000086 0.728023 \n", + "deltaPhi_h1_h2 0.000223 -0.000233 0.000306 \n", + "deltaPt_h1_h2 0.110797 -0.000568 0.050090 \n", + "Eta_h1 0.000276 0.001115 -0.000574 \n", + "Phi_h1 0.001528 -0.000220 0.002245 \n", + "Pt_h1 0.085421 -0.001264 0.019606 \n", + "deltaEta_ht1_ht2 -0.001019 -0.000141 0.413083 \n", + "deltaPhi_ht1_ht2 0.000746 -0.001660 -0.000844 \n", + "deltaPhi_ht1_ht3 -0.000346 0.075773 0.000309 \n", + "deltaPt_ht1_ht2 0.113120 -0.000126 0.339425 \n", + "deltaPt_ht1_ht3 0.366892 0.001197 0.238736 \n", + "Eta_ht1 -0.000473 0.000527 0.000361 \n", + "Phi_ht1 0.000700 -0.000429 -0.000897 \n", + "Pt_ht1 0.085181 -0.000022 0.432054 \n", + "AvEta_ht -0.001120 0.000922 -0.000035 \n", + "deltaEta_h2_ht3 -0.016309 0.000388 0.012129 \n", + "deltaPt_h1_ht2 0.114487 -0.000853 0.251743 \n", + "deltaPt_h2_ht3 0.374890 0.000076 0.069751 \n", + "deltaPt_ht2_ltop 0.414747 -0.000456 0.260432 \n", + "deltaPt_ht3_ltop 1.000000 0.000569 0.054892 \n", + "deltaPhi_ht3_ltop 0.000569 1.000000 0.000064 \n", + "Mass_ht1_ht2 0.054892 0.000064 1.000000 \n", + "Mass_ht1_ht3 0.253498 -0.000050 0.307124 \n", + "Mass_ht2_ht3 0.254706 -0.000098 0.314740 \n", + "y -0.016416 -0.000924 -0.098537 \n", + "\n", + " Mass_ht1_ht3 Mass_ht2_ht3 y \n", + "deltaEta_H_htop 0.072955 0.075165 -0.039020 \n", + "deltaEta_htop_ltop 0.079824 0.079640 -0.007711 \n", + "deltaPhi_H_htop 0.000020 0.000161 0.000770 \n", + "deltaPhi_H_ltop -0.001486 -0.000579 0.000192 \n", + "deltaPhi_htop_ltop -0.000074 0.000483 -0.000620 \n", + "Eta_H -0.001708 -0.000198 0.000133 \n", + "Phi_H 0.001236 0.001985 -0.000178 \n", + "Pt_H 0.047562 0.044648 0.064776 \n", + "Phi_htop -0.001236 -0.001465 0.000989 \n", + "Pt_htop 0.153855 0.143890 0.185565 \n", + "Phi_ltop 0.000292 0.002406 -0.002181 \n", + "Pt_ltop 0.029595 0.027965 0.043311 \n", + "Mass_H 0.038694 0.043198 -0.080311 \n", + "Mass_htop 0.730672 0.735585 -0.179578 \n", + "deltaPhi_h1_h2 -0.000324 -0.000039 0.000386 \n", + "deltaPt_h1_h2 0.049346 0.049300 0.014952 \n", + "Eta_h1 -0.001222 0.000088 0.000406 \n", + "Phi_h1 0.002293 0.002194 -0.000817 \n", + "Pt_h1 0.014756 0.009779 0.149667 \n", + "deltaEta_ht1_ht2 0.093578 0.102212 -0.147450 \n", + "deltaPhi_ht1_ht2 0.000042 -0.000399 -0.000265 \n", + "deltaPhi_ht1_ht3 -0.000724 0.001154 -0.000460 \n", + "deltaPt_ht1_ht2 0.253446 0.245728 0.001919 \n", + "deltaPt_ht1_ht3 0.316115 0.220690 0.136439 \n", + "Eta_ht1 0.000350 -0.001246 0.000085 \n", + "Phi_ht1 -0.001126 0.000397 0.000411 \n", + "Pt_ht1 0.424790 -0.003202 0.219387 \n", + "AvEta_ht -0.000757 -0.000250 -0.000101 \n", + "deltaEta_h2_ht3 0.078989 0.077924 0.001457 \n", + "deltaPt_h1_ht2 0.052175 0.250815 -0.009821 \n", + "deltaPt_h2_ht3 0.276359 0.281387 -0.159342 \n", + "deltaPt_ht2_ltop 0.059385 0.262686 -0.054051 \n", + "deltaPt_ht3_ltop 0.253498 0.254706 -0.016416 \n", + "deltaPhi_ht3_ltop -0.000050 -0.000098 -0.000924 \n", + "Mass_ht1_ht2 0.307124 0.314740 -0.098537 \n", + "Mass_ht1_ht3 1.000000 0.318985 -0.124635 \n", + "Mass_ht2_ht3 0.318985 1.000000 -0.163800 \n", + "y -0.124635 -0.163800 1.000000 \n", + "\n", + "[38 rows x 38 columns]" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "corr_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "7a545a8a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<Figure size 12000x12000 with 0 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 792x576 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "rs = np.random.RandomState(0)\n", + "plt.figure(figsize=(40,40), dpi=300)\n", + "corr = corr_matrix\n", + "plt.figure(figsize=(11,8))\n", + "sns.heatmap(corr,cmap = 'Spectral' , annot=False, vmin=-1, vmax=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "37b80ff8", + "metadata": {}, + "source": [ + "# Building and training a DNN on the training dataset" + ] + }, + { + "cell_type": "markdown", + "id": "9824a83b", + "metadata": {}, + "source": [ + "## Building a simple DNN" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "01ab1bef", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cuda:0\n" + ] + } + ], + "source": [ + "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n", + "print(device)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "id": "f59efc80", + "metadata": {}, + "outputs": [], + "source": [ + "device = torch.device(\"cpu\")" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "id": "1f220ca5", + "metadata": {}, + "outputs": [], + "source": [ + "# We will be using the training dataset constructed before\n", + "\n", + "training_data_1, training_data_0 = get_training_data(jets_fullymatched, 1)\n", + "training_data = pd.concat([training_data_1, training_data_0]).reset_index(drop=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "fc09dca7", + "metadata": {}, + "outputs": [], + "source": [ + "# Saving on disk\n", + "\n", + "training_data.to_csv('training_data.csv', index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "3b4661e5", + "metadata": {}, + "outputs": [], + "source": [ + "training_data.to_csv('training_data1.csv', index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "64a64db9", + "metadata": {}, + "outputs": [], + "source": [ + "# Reading on disk\n", + "\n", + "training_data = pd.read_csv('training_data.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "6a00c0f8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<div>\n", + "<style scoped>\n", + " .dataframe tbody tr th:only-of-type {\n", + " vertical-align: middle;\n", + " }\n", + "\n", + " .dataframe tbody tr th {\n", + " vertical-align: top;\n", + " }\n", + "\n", + " .dataframe thead th {\n", + " text-align: right;\n", + " }\n", + "</style>\n", + "<table border=\"1\" class=\"dataframe\">\n", + " <thead>\n", + " <tr style=\"text-align: right;\">\n", + " <th></th>\n", + " <th>deltaEta_H_htop</th>\n", + " <th>deltaEta_htop_ltop</th>\n", + " <th>deltaPhi_H_htop</th>\n", + " <th>deltaPhi_H_ltop</th>\n", + " <th>deltaPhi_htop_ltop</th>\n", + " <th>Eta_H</th>\n", + " <th>Phi_H</th>\n", + " <th>Pt_H</th>\n", + " <th>Phi_htop</th>\n", + " <th>Pt_htop</th>\n", + " <th>...</th>\n", + " <th>deltaEta_h2_ht3</th>\n", + " <th>deltaPt_h1_ht2</th>\n", + " <th>deltaPt_h2_ht3</th>\n", + " <th>deltaPt_ht2_ltop</th>\n", + " <th>deltaPt_ht3_ltop</th>\n", + " <th>deltaPhi_ht3_ltop</th>\n", + " <th>Mass_ht1_ht2</th>\n", + " <th>Mass_ht1_ht3</th>\n", + " <th>Mass_ht2_ht3</th>\n", + " <th>y</th>\n", + " </tr>\n", + " </thead>\n", + " <tbody>\n", + " <tr>\n", + " <th>0</th>\n", + " <td>0.301140</td>\n", + " <td>0.725421</td>\n", + " <td>2.324386</td>\n", + " <td>-2.141213</td>\n", + " <td>1.817586</td>\n", + " <td>2.143749</td>\n", + " <td>-2.957009</td>\n", + " <td>166.002701</td>\n", + " <td>1.001790</td>\n", + " <td>318.222748</td>\n", + " <td>...</td>\n", + " <td>1.431885</td>\n", + " <td>2.187500</td>\n", + " <td>41.812500</td>\n", + " <td>21.375000</td>\n", + " <td>18.062500</td>\n", + " <td>2.317261</td>\n", + " <td>98.334738</td>\n", + " <td>80.801666</td>\n", + " <td>114.613730</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1</th>\n", + " <td>0.778788</td>\n", + " <td>0.906623</td>\n", + " <td>-1.285229</td>\n", + " <td>-1.659870</td>\n", + " <td>-0.374641</td>\n", + " <td>1.616365</td>\n", + " <td>-0.306843</td>\n", + " <td>56.380836</td>\n", + " <td>0.978386</td>\n", + " <td>124.945930</td>\n", + " <td>...</td>\n", + " <td>2.024048</td>\n", + " <td>24.718750</td>\n", + " <td>4.625000</td>\n", + " <td>13.203125</td>\n", + " <td>7.203125</td>\n", + " <td>-1.824036</td>\n", + " <td>50.091846</td>\n", + " <td>110.511858</td>\n", + " <td>75.192757</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>2</th>\n", + " <td>0.389590</td>\n", + " <td>1.462423</td>\n", + " <td>-2.470273</td>\n", + " <td>0.863565</td>\n", + " <td>-2.949347</td>\n", + " <td>0.656207</td>\n", + " <td>-2.295597</td>\n", + " <td>147.654831</td>\n", + " <td>0.174676</td>\n", + " <td>317.780731</td>\n", + " <td>...</td>\n", + " <td>0.589844</td>\n", + " <td>6.750000</td>\n", + " <td>10.031250</td>\n", + " <td>6.625000</td>\n", + " <td>125.375000</td>\n", + " <td>1.990461</td>\n", + " <td>111.773815</td>\n", + " <td>101.442226</td>\n", + " <td>85.096222</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>3</th>\n", + " <td>0.350333</td>\n", + " <td>1.898866</td>\n", + " <td>1.987569</td>\n", + " <td>-3.037939</td>\n", + " <td>1.257677</td>\n", + " <td>-0.402031</td>\n", + " <td>0.683723</td>\n", + " <td>161.167068</td>\n", + " <td>-1.303846</td>\n", + " <td>205.763428</td>\n", + " <td>...</td>\n", + " <td>1.219299</td>\n", + " <td>63.343750</td>\n", + " <td>23.750000</td>\n", + " <td>53.718750</td>\n", + " <td>64.812500</td>\n", + " <td>0.437012</td>\n", + " <td>99.276011</td>\n", + " <td>90.659414</td>\n", + " <td>93.860946</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>4</th>\n", + " <td>2.239024</td>\n", + " <td>0.180354</td>\n", + " <td>-1.701985</td>\n", + " <td>-2.246475</td>\n", + " <td>-0.544490</td>\n", + " <td>4.048284</td>\n", + " <td>2.911955</td>\n", + " <td>14.770351</td>\n", + " <td>-1.669246</td>\n", + " <td>60.590450</td>\n", + " <td>...</td>\n", + " <td>1.618835</td>\n", + " <td>4.593750</td>\n", + " <td>28.468750</td>\n", + " <td>36.875000</td>\n", + " <td>61.625000</td>\n", + " <td>-0.783936</td>\n", + " <td>111.947747</td>\n", + " <td>62.656573</td>\n", + " <td>55.222729</td>\n", + " <td>1</td>\n", + " </tr>\n", + " <tr>\n", + " <th>...</th>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " <td>...</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1927569</th>\n", + " <td>2.358367</td>\n", + " <td>2.506589</td>\n", + " <td>1.119127</td>\n", + " <td>1.709219</td>\n", + " <td>0.590092</td>\n", + " <td>1.592257</td>\n", + " <td>-0.349863</td>\n", + " <td>72.153143</td>\n", + " <td>-1.468990</td>\n", + " <td>60.750389</td>\n", + " <td>...</td>\n", + " <td>2.864746</td>\n", + " <td>76.453125</td>\n", + " <td>55.093750</td>\n", + " <td>70.125000</td>\n", + " <td>10.718750</td>\n", + " <td>-1.012207</td>\n", + " <td>101.738620</td>\n", + " <td>56.870986</td>\n", + " <td>139.807149</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1927570</th>\n", + " <td>0.794082</td>\n", + " <td>2.118517</td>\n", + " <td>1.543441</td>\n", + " <td>2.176009</td>\n", + " <td>0.632567</td>\n", + " <td>0.124971</td>\n", + " <td>-0.895280</td>\n", + " <td>73.834661</td>\n", + " <td>-2.438722</td>\n", + " <td>44.179645</td>\n", + " <td>...</td>\n", + " <td>1.612274</td>\n", + " <td>22.109375</td>\n", + " <td>49.406250</td>\n", + " <td>8.218750</td>\n", + " <td>10.000000</td>\n", + " <td>2.317383</td>\n", + " <td>61.312339</td>\n", + " <td>206.253737</td>\n", + " <td>143.235389</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1927571</th>\n", + " <td>0.946273</td>\n", + " <td>1.356992</td>\n", + " <td>-3.085341</td>\n", + " <td>-1.372505</td>\n", + " <td>1.712836</td>\n", + " <td>-0.788744</td>\n", + " <td>1.839391</td>\n", + " <td>18.078336</td>\n", + " <td>-1.358453</td>\n", + " <td>102.502621</td>\n", + " <td>...</td>\n", + " <td>1.822784</td>\n", + " <td>25.265625</td>\n", + " <td>18.000000</td>\n", + " <td>17.046875</td>\n", + " <td>10.718750</td>\n", + " <td>1.012207</td>\n", + " <td>141.440296</td>\n", + " <td>115.452193</td>\n", + " <td>157.200925</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1927572</th>\n", + " <td>0.302085</td>\n", + " <td>2.137841</td>\n", + " <td>-0.900846</td>\n", + " <td>2.763907</td>\n", + " <td>-2.618433</td>\n", + " <td>1.592257</td>\n", + " <td>-0.349863</td>\n", + " <td>72.153143</td>\n", + " <td>0.550983</td>\n", + " <td>149.574418</td>\n", + " <td>...</td>\n", + " <td>0.276123</td>\n", + " <td>27.046875</td>\n", + " <td>9.937500</td>\n", + " <td>1.781250</td>\n", + " <td>56.812500</td>\n", + " <td>-2.066633</td>\n", + " <td>111.704547</td>\n", + " <td>175.193206</td>\n", + " <td>117.631649</td>\n", + " <td>0</td>\n", + " </tr>\n", + " <tr>\n", + " <th>1927573</th>\n", + " <td>0.264276</td>\n", + " <td>2.353834</td>\n", + " <td>-2.916482</td>\n", + " <td>-2.775585</td>\n", + " <td>0.140897</td>\n", + " <td>-0.928169</td>\n", + " <td>2.753694</td>\n", + " <td>55.247334</td>\n", + " <td>-0.613009</td>\n", + " <td>96.438398</td>\n", + " <td>...</td>\n", + " <td>0.019859</td>\n", + " <td>7.281250</td>\n", + " <td>73.296875</td>\n", + " <td>2.718750</td>\n", + " <td>49.406250</td>\n", + " <td>-0.203003</td>\n", + " <td>91.228374</td>\n", + " <td>141.440296</td>\n", + " <td>87.271350</td>\n", + " <td>0</td>\n", + " </tr>\n", + " </tbody>\n", + "</table>\n", + "<p>1927574 rows × 37 columns</p>\n", + "</div>" + ], + "text/plain": [ + " deltaEta_H_htop deltaEta_htop_ltop deltaPhi_H_htop \\\n", + "0 0.301140 0.725421 2.324386 \n", + "1 0.778788 0.906623 -1.285229 \n", + "2 0.389590 1.462423 -2.470273 \n", + "3 0.350333 1.898866 1.987569 \n", + "4 2.239024 0.180354 -1.701985 \n", + "... ... ... ... \n", + "1927569 2.358367 2.506589 1.119127 \n", + "1927570 0.794082 2.118517 1.543441 \n", + "1927571 0.946273 1.356992 -3.085341 \n", + "1927572 0.302085 2.137841 -0.900846 \n", + "1927573 0.264276 2.353834 -2.916482 \n", + "\n", + " deltaPhi_H_ltop deltaPhi_htop_ltop Eta_H Phi_H Pt_H \\\n", + "0 -2.141213 1.817586 2.143749 -2.957009 166.002701 \n", + "1 -1.659870 -0.374641 1.616365 -0.306843 56.380836 \n", + "2 0.863565 -2.949347 0.656207 -2.295597 147.654831 \n", + "3 -3.037939 1.257677 -0.402031 0.683723 161.167068 \n", + "4 -2.246475 -0.544490 4.048284 2.911955 14.770351 \n", + "... ... ... ... ... ... \n", + "1927569 1.709219 0.590092 1.592257 -0.349863 72.153143 \n", + "1927570 2.176009 0.632567 0.124971 -0.895280 73.834661 \n", + "1927571 -1.372505 1.712836 -0.788744 1.839391 18.078336 \n", + "1927572 2.763907 -2.618433 1.592257 -0.349863 72.153143 \n", + "1927573 -2.775585 0.140897 -0.928169 2.753694 55.247334 \n", + "\n", + " Phi_htop Pt_htop ... deltaEta_h2_ht3 deltaPt_h1_ht2 \\\n", + "0 1.001790 318.222748 ... 1.431885 2.187500 \n", + "1 0.978386 124.945930 ... 2.024048 24.718750 \n", + "2 0.174676 317.780731 ... 0.589844 6.750000 \n", + "3 -1.303846 205.763428 ... 1.219299 63.343750 \n", + "4 -1.669246 60.590450 ... 1.618835 4.593750 \n", + "... ... ... ... ... ... \n", + "1927569 -1.468990 60.750389 ... 2.864746 76.453125 \n", + "1927570 -2.438722 44.179645 ... 1.612274 22.109375 \n", + "1927571 -1.358453 102.502621 ... 1.822784 25.265625 \n", + "1927572 0.550983 149.574418 ... 0.276123 27.046875 \n", + "1927573 -0.613009 96.438398 ... 0.019859 7.281250 \n", + "\n", + " deltaPt_h2_ht3 deltaPt_ht2_ltop deltaPt_ht3_ltop \\\n", + "0 41.812500 21.375000 18.062500 \n", + "1 4.625000 13.203125 7.203125 \n", + "2 10.031250 6.625000 125.375000 \n", + "3 23.750000 53.718750 64.812500 \n", + "4 28.468750 36.875000 61.625000 \n", + "... ... ... ... \n", + "1927569 55.093750 70.125000 10.718750 \n", + "1927570 49.406250 8.218750 10.000000 \n", + "1927571 18.000000 17.046875 10.718750 \n", + "1927572 9.937500 1.781250 56.812500 \n", + "1927573 73.296875 2.718750 49.406250 \n", + "\n", + " deltaPhi_ht3_ltop Mass_ht1_ht2 Mass_ht1_ht3 Mass_ht2_ht3 y \n", + "0 2.317261 98.334738 80.801666 114.613730 1 \n", + "1 -1.824036 50.091846 110.511858 75.192757 1 \n", + "2 1.990461 111.773815 101.442226 85.096222 1 \n", + "3 0.437012 99.276011 90.659414 93.860946 1 \n", + "4 -0.783936 111.947747 62.656573 55.222729 1 \n", + "... ... ... ... ... .. \n", + "1927569 -1.012207 101.738620 56.870986 139.807149 0 \n", + "1927570 2.317383 61.312339 206.253737 143.235389 0 \n", + "1927571 1.012207 141.440296 115.452193 157.200925 0 \n", + "1927572 -2.066633 111.704547 175.193206 117.631649 0 \n", + "1927573 -0.203003 91.228374 141.440296 87.271350 0 \n", + "\n", + "[1927574 rows x 37 columns]" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "training_data" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "2b272a15", + "metadata": {}, + "outputs": [], + "source": [ + "# Shuffling and separating x-s and y-s\n", + "\n", + "training_data = training_data.sample(frac=1, random_state=1).reset_index(drop=True)\n", + "training_data = training_data.values\n", + "x = training_data[:,0:-1]\n", + "y = training_data[:,-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "4999fe5f", + "metadata": {}, + "outputs": [], + "source": [ + "# Splitting the dataset\n", + "\n", + "X_train, x_test, Y_train, y_test = train_test_split(x, y, test_size=0.33, stratify=y)\n", + "X_train, x_valid, Y_train, y_valid = train_test_split(X_train, Y_train, test_size=0.2, stratify=Y_train)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "id": "44171f8d", + "metadata": {}, + "outputs": [], + "source": [ + "# Saving the testing dataset to disk\n", + "\n", + "pd.DataFrame(x_test).to_csv(\"x_test.csv\", index=False)\n", + "pd.DataFrame(y_test).to_csv(\"y_test.csv\", index=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "d60cdefb", + "metadata": {}, + "outputs": [], + "source": [ + "# Feature scaling\n", + "\n", + "sc = StandardScaler()\n", + "X_train = sc.fit_transform(X_train)\n", + "x_valid = sc.fit_transform(x_valid)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "718ea794", + "metadata": {}, + "outputs": [], + "source": [ + "# Defining dataset class\n", + "\n", + "class dataset(Dataset):\n", + " \n", + " def __init__(self, x, y, w):\n", + " self.x = torch.tensor(x,dtype=torch.float32)\n", + " self.y = torch.tensor(y,dtype=torch.float32)\n", + " self.w = torch.tensor(w,dtype=torch.float32)\n", + " self.length = self.x.shape[0]\n", + " \n", + " def __getitem__(self, idx):\n", + " return self.x[idx],self.y[idx],self.w[idx]\n", + " \n", + " def __len__(self):\n", + " return self.length\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "bcff75c3", + "metadata": {}, + "outputs": [], + "source": [ + "class Net(nn.Module):\n", + " \n", + " def __init__(self, input_shape):\n", + " super(Net,self).__init__()\n", + " self.fc1 = nn.Linear(input_shape,16)\n", + " self.fc2 = nn.Linear(16,16)\n", + " self.fc3 = nn.Linear(16,1)\n", + " #self.fc4 = nn.Linear(16,16)\n", + " #self.fc5 = nn.Linear(16,16)\n", + " #self.fc6 = nn.Linear(16,1)\n", + " \n", + " self.relu = nn.ReLU()\n", + " self.elu = nn.ELU()\n", + " self.sigmoid = nn.Sigmoid()\n", + " \n", + " def forward(self, x):\n", + " x = self.elu(self.fc1(x))\n", + " x = self.elu(self.fc2(x))\n", + " #x = self.elu(self.fc4(x))\n", + " #x = self.elu(self.fc5(x))\n", + " x = self.sigmoid(self.fc3(x))\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "86ed0052", + "metadata": {}, + "outputs": [], + "source": [ + "def weights(targets, num_perms):\n", + " weight = np.ones(len(targets))\n", + " for i in range(len(targets)):\n", + " if targets[i] == 0:\n", + " weight[i] = 1/num_perms \n", + " return weight" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "71c38737", + "metadata": {}, + "outputs": [], + "source": [ + "# Hyper parameters\n", + "\n", + "learning_rate = 1\n", + "epochs = 200\n", + "eps = 0.001 #stoppage criterium for validation loss\n", + "eps1 = 0.00005\n", + "\n", + "# Model, Optimizer, Loss\n", + "\n", + "w = weights(Y_train, 1)\n", + "model = Net(input_shape=X_train.shape[1])\n", + "model.to(device)\n", + "train_set = dataset(X_train, Y_train, w)\n", + "valid_set = dataset(x_valid, y_valid, w)\n", + "optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate)\n", + "scheduler = ExponentialLR(optimizer, gamma=0.9)\n", + "\n", + "# DataLoader\n", + "trainloader = DataLoader(train_set, batch_size=100, shuffle=False)\n", + "validloader = DataLoader(valid_set, batch_size=50, shuffle=False)" + ] + }, + { + "cell_type": "markdown", + "id": "8e50171d", + "metadata": {}, + "source": [ + "## Training" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "edfcb2f4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "epoch 0\tloss : 0.16264357806211632\t vloss : 0.13955038845776874\n", + "1\n", + "epoch 1\tloss : 0.12981601032176154\t vloss : 0.12387396735832719\n", + "2\n", + "epoch 2\tloss : 0.11796615598004614\t vloss : 0.11385107078450797\n", + "3\n", + "epoch 3\tloss : 0.1107814108200485\t vloss : 0.10813700272206303\n", + "4\n", + "epoch 4\tloss : 0.10657958160816207\t vloss : 0.10419479194988922\n", + "5\n", + "epoch 5\tloss : 0.10371640177186883\t vloss : 0.10179525111861364\n", + "6\n", + "epoch 6\tloss : 0.10155078016138276\t vloss : 0.09963862239085938\n", + "7\n", + "epoch 7\tloss : 0.099730260455074\t vloss : 0.09788372861815903\n", + "8\n", + "epoch 8\tloss : 0.0982124564040131\t vloss : 0.09639037059560573\n", + "9\n", + "epoch 9\tloss : 0.09689386904650073\t vloss : 0.09501871389257621\n", + "10\n", + "epoch 10\tloss : 0.09576126198448372\t vloss : 0.09374701294235575\n", + "11\n", + "epoch 11\tloss : 0.09478313975262165\t vloss : 0.0926684782493542\n", + "12\n", + "epoch 12\tloss : 0.093909606205705\t vloss : 0.09170238534087675\n", + "13\n", + "epoch 13\tloss : 0.0931255204252158\t vloss : 0.09082973689593851\n", + "14\n", + "epoch 14\tloss : 0.09242202990954546\t vloss : 0.09006806359368741\n", + "15\n", + "epoch 15\tloss : 0.09178172022514663\t vloss : 0.08941800338117058\n", + "16\n", + "epoch 16\tloss : 0.09120199204278302\t vloss : 0.08885254412493174\n", + "17\n", + "epoch 17\tloss : 0.09067802351987156\t vloss : 0.08836862383945358\n", + "18\n", + "epoch 18\tloss : 0.0902058391446697\t vloss : 0.0879536115435606\n", + "19\n", + "epoch 19\tloss : 0.08978055455256491\t vloss : 0.08759293313177814\n", + "20\n", + "epoch 20\tloss : 0.08939728835977315\t vloss : 0.08728019240054688\n", + "21\n", + "epoch 21\tloss : 0.08905183678485971\t vloss : 0.08700148404298477\n", + "22\n", + "epoch 22\tloss : 0.08873874625313\t vloss : 0.08675305405780269\n", + "23\n", + "epoch 23\tloss : 0.08845512346057767\t vloss : 0.08653410394884097\n", + "24\n", + "epoch 24\tloss : 0.08819793016729567\t vloss : 0.08634169219715654\n", + "25\n", + "epoch 25\tloss : 0.08796402826130063\t vloss : 0.086172566677325\n", + "26\n", + "epoch 26\tloss : 0.08775103886915589\t vloss : 0.08602293405354904\n", + "27\n", + "epoch 27\tloss : 0.08755675362281315\t vloss : 0.08588927477261321\n", + "28\n", + "epoch 28\tloss : 0.08737967715922298\t vloss : 0.08576969374417058\n", + "29\n", + "epoch 29\tloss : 0.08721834546854174\t vloss : 0.08566172551413252\n", + "30\n", + "epoch 30\tloss : 0.08707119021743165\t vloss : 0.0855637754194755\n", + "31\n", + "epoch 31\tloss : 0.08693679640522615\t vloss : 0.08547472781798952\n", + "32\n", + "epoch 32\tloss : 0.086814207082863\t vloss : 0.08539373876150466\n", + "33\n", + "epoch 33\tloss : 0.08670232583733482\t vloss : 0.08532007980021705\n", + "34\n", + "epoch 34\tloss : 0.08660029355950039\t vloss : 0.08525330575945926\n", + "35\n", + "epoch 35\tloss : 0.08650716119993547\t vloss : 0.08519272877279907\n", + "36\n", + "epoch 36\tloss : 0.0864217219078254\t vloss : 0.085137798079349\n", + "37\n", + "epoch 37\tloss : 0.086343592003547\t vloss : 0.0850880085366798\n" + ] + } + ], + "source": [ + "*#forward loop\n", + "\n", + "losses = []\n", + "vlosses = []\n", + "\n", + "for i in range(epochs):\n", + " print(i)\n", + " train_loss = 0\n", + " for j, (x_train, y_train, w_train) in enumerate(trainloader):\n", + " \n", + " x_train, y_train, w_train = x_train.to(device), y_train.to(device), w_train.to(device)\n", + " #calculate output\n", + " output = model(x_train)\n", + " \n", + " #calculate loss\n", + " loss_fn = nn.BCELoss(weight = w_train.reshape(-1,1)) \n", + " loss = loss_fn(output, y_train.reshape(-1,1))\n", + " \n", + " #accuracy\n", + " #predicted = model(torch.tensor(x,dtype=torch.float32).to(device))\n", + " #acc = (predicted.cpu().reshape(-1).detach().numpy().round() == y).mean()\n", + " \n", + " #backprop\n", + " optimizer.zero_grad()\n", + " loss.backward()\n", + " optimizer.step()\n", + " train_loss += loss.item()/len(trainloader)\n", + " \n", + " valid_loss = 0\n", + " for j, (x_valids, y_valids, w_valids) in enumerate(validloader):\n", + "\n", + " x_valids, y_valids, w_valids = x_valids.to(device), y_valids.to(device), w_valids.to(device) \n", + " \n", + " # Forward Pass\n", + " output = model(x_valids)\n", + " \n", + " # Find the Loss\n", + " loss_fn = nn.BCELoss(weight = w_valids.reshape(-1,1)) \n", + " \n", + " # Calculate Loss\n", + " vloss = loss_fn(output, y_valids.reshape(-1,1))\n", + " \n", + " valid_loss += vloss.item()/len(validloader)\n", + " \n", + " scheduler.step()\n", + " losses.append(train_loss)\n", + " vlosses.append(valid_loss)\n", + " print(\"epoch {}\\tloss : {}\\t vloss : {}\".format(i,train_loss,valid_loss))\n", + " \n", + " if i>2:\n", + " if valid_loss<eps or abs(vlosses[-1]-vlosses[-2])<eps1:\n", + " break" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "c2ade853", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 1, 'loss')" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 720x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#plotting the loss\n", + "plt.plot(np.array(losses), label='training loss' )\n", + "plt.plot(np.array(vlosses), label='validation loss')\n", + "plt.title('Loss vs Epochs')\n", + "plt.legend()\n", + "plt.yscale(\"log\")\n", + "plt.xlabel('Epochs')\n", + "plt.ylabel('loss')" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "23e6bd60", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 1, 'loss')" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 720x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "#plotting the loss\n", + "plt.plot(np.array(losses), label='training loss' )\n", + "plt.plot(np.array(vlosses), label='validation loss')\n", + "plt.title('Loss vs Epochs')\n", + "plt.legend()\n", + "#plt.yscale(\"log\")\n", + "plt.xlabel('Epochs')\n", + "plt.ylabel('loss')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "c7b10a2e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Net(\n", + " (fc1): Linear(in_features=36, out_features=256, bias=True)\n", + " (fc2): Linear(in_features=256, out_features=128, bias=True)\n", + " (fc3): Linear(in_features=128, out_features=1, bias=True)\n", + ")" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.to('cpu')" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "f42db581", + "metadata": {}, + "outputs": [], + "source": [ + "torch.save(model.state_dict(), 'model.pt')" + ] + }, + { + "cell_type": "markdown", + "id": "1443f9ee", + "metadata": {}, + "source": [ + "## Testing the performance and efficiency" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "35ddd92a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Net(\n", + " (fc1): Linear(in_features=36, out_features=16, bias=True)\n", + " (fc2): Linear(in_features=16, out_features=1, bias=True)\n", + " (relu): ReLU()\n", + " (elu): ELU(alpha=1.0)\n", + " (sigmoid): Sigmoid()\n", + ")" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model1 = Net(input_shape=x_train.shape[1])\n", + "model1.load_state_dict(torch.load('model.pt'))\n", + "model1.eval()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "146d426a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Net(\n", + " (fc1): Linear(in_features=36, out_features=16, bias=True)\n", + " (fc2): Linear(in_features=16, out_features=1, bias=True)\n", + " (relu): ReLU()\n", + " (elu): ELU(alpha=1.0)\n", + " (sigmoid): Sigmoid()\n", + ")" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model1.to(device)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "4154588b", + "metadata": {}, + "outputs": [], + "source": [ + "x_test, y_test = pd.read_csv('x_test.csv'), pd.read_csv('y_test.csv') " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "fe1c31f9", + "metadata": {}, + "outputs": [], + "source": [ + "x_test, y_test = x_test.values, y_test.values" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "fbdcf005", + "metadata": {}, + "outputs": [], + "source": [ + "x_test = sc.transform(x_test)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "7c2be5e4", + "metadata": {}, + "outputs": [], + "source": [ + "x_test, y_test = torch.tensor(x_test,dtype=torch.float32).to(device), torch.tensor(y_test,dtype=torch.float32).to(device)" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "45792413", + "metadata": {}, + "outputs": [], + "source": [ + "y_preds = model1(x_test)\n", + "y_true = y_test" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "c03e9647", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(y_preds[y_true == 1].to('cpu').detach().numpy(), histtype = \"step\", linewidth=3.0, label=\"signal\", bins=20, density=True)\n", + "plt.hist(y_preds[y_true==0].to('cpu').detach().numpy(), histtype = \"step\", linewidth=3.0, label=\"background\", bins=20, density=True)\n", + "plt.ylabel('')\n", + "plt.xlabel('')\n", + "#plt.yscale('log')\n", + "plt.title('Signal and background distributions')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "29d6f84d", + "metadata": {}, + "outputs": [], + "source": [ + "x_test_numpy = x_test.to('cpu').detach().numpy()\n", + "y_test_numpy = y_test.to('cpu').detach().numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "9c6a84f8", + "metadata": {}, + "outputs": [ + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_383/116155671.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mfig\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0max\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplots\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfigsize\u001b[0m \u001b[0;34m=\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m7\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdpi\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m72\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_test\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0my_test_numpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhisttype\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"step\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinewidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"signal\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx_test\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0my_test_numpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhisttype\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m\"step\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinewidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"background\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mylabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m''\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxlabel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m''\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/pyplot.py\u001b[0m in \u001b[0;36mhist\u001b[0;34m(x, bins, range, density, weights, cumulative, bottom, histtype, align, orientation, rwidth, log, color, label, stacked, data, **kwargs)\u001b[0m\n\u001b[1;32m 2851\u001b[0m \u001b[0morientation\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'vertical'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrwidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlog\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2852\u001b[0m label=None, stacked=False, *, data=None, **kwargs):\n\u001b[0;32m-> 2853\u001b[0;31m return gca().hist(\n\u001b[0m\u001b[1;32m 2854\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbins\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mrange\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdensity\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdensity\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mweights\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2855\u001b[0m \u001b[0mcumulative\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcumulative\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbottom\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbottom\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mhisttype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mhisttype\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/__init__.py\u001b[0m in \u001b[0;36minner\u001b[0;34m(ax, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m 1359\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0minner\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1360\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mdata\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1361\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mmap\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msanitize_sequence\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1362\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1363\u001b[0m \u001b[0mbound\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnew_sig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbind\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0max\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/axes/_axes.py\u001b[0m in \u001b[0;36mhist\u001b[0;34m(self, x, bins, range, density, weights, cumulative, bottom, histtype, align, orientation, rwidth, log, color, label, stacked, **kwargs)\u001b[0m\n\u001b[1;32m 6886\u001b[0m \u001b[0;31m# items higher in the stack\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6887\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mc\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mreversed\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxvals\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0myvals\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 6888\u001b[0;31m patches.append(self.fill(\n\u001b[0m\u001b[1;32m 6889\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6890\u001b[0m \u001b[0mclosed\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mfill\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/axes/_axes.py\u001b[0m in \u001b[0;36mfill\u001b[0;34m(self, data, *args, **kwargs)\u001b[0m\n\u001b[1;32m 5187\u001b[0m \u001b[0mpatches\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_get_patches_for_fill\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5188\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mpoly\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mpatches\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5189\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd_patch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpoly\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5190\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_request_autoscale_view\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5191\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mpatches\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36madd_patch\u001b[0;34m(self, p)\u001b[0m\n\u001b[1;32m 2168\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_clip_path\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2169\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_clip_path\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpatch\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2170\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_update_patch_limits\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2171\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpatches\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2172\u001b[0m \u001b[0mp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_remove_method\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpatches\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mremove\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/axes/_base.py\u001b[0m in \u001b[0;36m_update_patch_limits\u001b[0;34m(self, patch)\u001b[0m\n\u001b[1;32m 2196\u001b[0m \u001b[0mxys\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpatch_to_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtransform\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxys\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2197\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2198\u001b[0;31m \u001b[0mupdatex\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mupdatey\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpatch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_transform\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;31m\\\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2199\u001b[0m \u001b[0mcontains_branch_seperately\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtransData\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2200\u001b[0m self.update_datalim(xys, updatex=updatex,\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36mcontains_branch_seperately\u001b[0;34m(self, other_transform)\u001b[0m\n\u001b[1;32m 1389\u001b[0m \u001b[0;31m# for a non-blended transform each separate dimension is the same, so\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1390\u001b[0m \u001b[0;31m# just return the appropriate shape.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1391\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcontains_branch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother_transform\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1392\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1393\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__sub__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36mcontains_branch\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 1369\u001b[0m \u001b[0;31m# check that a subtree is equal to other (starting from self)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1370\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0m_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msub_tree\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_iter_break_from_left_to_right\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1371\u001b[0;31m \u001b[0;32mif\u001b[0m \u001b[0msub_tree\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1372\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1373\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36m__eq__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 2355\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__eq__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2356\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mCompositeGenericTransform\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mCompositeAffine2D\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2357\u001b[0;31m return self is other or (self._a == other._a\n\u001b[0m\u001b[1;32m 2358\u001b[0m and self._b == other._b)\n\u001b[1;32m 2359\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36m__eq__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 1692\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1693\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__eq__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1694\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_child\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__eq__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1696\u001b[0m \u001b[0m__str__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0m_make_str_method\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"_child\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36m__eq__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 2127\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mBlendedAffine2D\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mBlendedGenericTransform\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2128\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_x\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_x\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_y\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2129\u001b[0;31m \u001b[0;32melif\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_x\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_y\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2130\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_x\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2131\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/matplotlib/transforms.py\u001b[0m in \u001b[0;36m__eq__\u001b[0;34m(self, other)\u001b[0m\n\u001b[1;32m 1758\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__eq__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1759\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mgetattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"is_affine\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mhasattr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mother\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"get_matrix\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1760\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_matrix\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0mother\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_matrix\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1761\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mNotImplemented\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1762\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/numpy/core/overrides.py\u001b[0m in \u001b[0;36mall\u001b[0;34m(*args, **kwargs)\u001b[0m\n", + "\u001b[0;32m/cvmfs/sft.cern.ch/lcg/views/LCG_102cuda/x86_64-centos7-gcc8-opt/lib/python3.9/site-packages/numpy/core/fromnumeric.py\u001b[0m in \u001b[0;36mall\u001b[0;34m(a, axis, out, keepdims, where)\u001b[0m\n\u001b[1;32m 2402\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2403\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2404\u001b[0;31m \u001b[0;34m@\u001b[0m\u001b[0marray_function_dispatch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0m_all_dispatcher\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2405\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mall\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mout\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkeepdims\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_NoValue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mwhere\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_NoValue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2406\u001b[0m \"\"\"\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: " + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize =(8,7), dpi=72)\n", + "plt.hist(x_test[:,0][y_test_numpy.reshape(-1,)==1], histtype = \"step\", linewidth=3.0, label=\"signal\", bins=10)\n", + "plt.hist(x_test[:,0][y_test_numpy.reshape(-1,)==0], histtype = \"step\", linewidth=3.0, label=\"background\", bins=10)\n", + "plt.ylabel('')\n", + "plt.xlabel('')\n", + "#plt.yscale('log')\n", + "plt.title('Signal and background distributions')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "ec723a05", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_960/2785840742.py:2: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n", + " fig = plt.figure(figsize =(8,7), dpi=72)\n" + ] + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAHDCAYAAADiJfm+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA7tklEQVR4nO3deZwU1bn/8c8juyjIGBfUyyKCoEhEcAtBxS0SbTdMTNArYHRcfkGJV70kGMQliQvGuOSio0aFq95EEUOr0QgqKoKICAqKKAhuuCFCIMCA8/z+qOqhmemeqWZ66K6Z7/v1qlf3nDp1+qnqgqfr1Kkqc3dEREQkHrYrdAAiIiISnRK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHFLo2Rm95uZp003bUUbF1dp44X6iDXOzKxj2va5utDxiDQEStwigZ9uxTI/yXsUkpGZfd/Mrg6njoWOR6SQmhY6AJEi0dHMDnH3WVEqm9luwBH1HJNsdiAwJnz/IrCsUIGIFJqOuEXgu/D1zByWOY3g34+Hk4jINqHELRIcwQH8xMws4jKpbvIZwIa8RyQikoUStwg8Gr7+B3BYbZXNbBfgyPDPv9VXUCIimShxi8AzwOrwfZRBaqcBTQi6yCfWVtnMOpvZbWY2w8w+MbP1ZvZR+PdYM+sUoY2jzOyvZvamma02sy/C5e8ws/+oZdmdwkFdz5vZMjP7t5ktNLOnzezMHHoZ8sLMupnZ3Wb2oZmtC7fFFDM7I0Pd+83MgQfSil8MR6l/mKX97uH2XmBmq8L1XWJmE8zs+BriGpI2Ar5FWPazMLYvwlgXm9k9Zta7jptBZOu5uyZNjW4C7mfz+endgAnh+08Aq2XZ58K608O/14V/v5Ch7nXAprTPyjRtAoZk+awWwD9qWX49MDjL8icD39ay/GvA9vW0nTumfc7VwCnAmhpiebSG76nq9GGGzxsFbKxlfR/PtL7AkLQ67YC/19DGd8DVhd6PNTXOSaPKRQJ/A84G9gT6Aa9kqmRm3wOOCv98NFOdtLqnAlelFU0hSJIrCX4sHEcwWroJUGZmr7v7O1WauQs4IXy/MvzMxUBr4IfA0QTJ/W4zm+XuH6R9/v7AQ8AOYdHL4bQS6AT8HCgBDgH+CFxY0/rkwWHAyDDeKcDMsHwg0Cd8f4aZDXP3+8O//xeYHS57dlh2G/A+8K/0xs3s18D1aUUzCcYgrAYOJthWLQl6TB43s4Hunm1g4T0EP3o2EoyBeBXYBegPHEDQWznGzNa4+y3RN4FIHhT6l4MmTYWYqH7E3YLNR6a317DceWGdCuA/wrKMR9wESTNV98ws7f0uLY5LqszbOW3eAqAkw/Ij0+r8psq829PmXZBh2e8BH4fz1wFN6mE7px9xO7AKSFSpY8Cf0upMzNBO+tHwkRnm7wuUh/M3AOdmqHMwQY9Kqp2hNXyGE/zAOSpDrL8Nv9PUdutQ6P1ZU+OadI5bBHD3DQRdoxAc9WX7t5EaTT7T3T+updkDw9fX3P2vWer8Me39AVXmHZL2/i53/ybD8ncRdJWvB3pUmXdo+PoNUFZ1QXf/Gvi/cFmAfbLEmE8j3T1ZJQ4HrgT+HRb13Ip2hwPNwvfXuvtfqlZw99fZcgzDiFraHOLuL1aN1d2vA/4nLGoJlG5FvCJbTYlbZLPUCPH2BF2iWzCzEoLuVqilmzx0AUG3+tAa6qxJe1/11FVF2vsOmRZ292/dvVU4/WeW5bcn6BLPtPwVacu/V0Oc+bAcuC9LHOUEvQoAzbei7ZPD11XAndkqufurwEvhn983s4zbNYwlmWUewI0ER/gAp0YPU6TulLhFNnuOoLscMo8uP5UguTrwWG2Nufsr7j4tW0IM7742qoYm5rH5GvHLzKzMzA6u7XPTvBa+tgReMbMLzKxNDsvn2+wwQWezdmsaDbdjamT9q+6+qpZFnkl7n217Tgp7AjIKe1veCP/sYWY7ZKsrkm9K3CKhMKk8Ef55hpk1qVIl1U3+WoRu8i2Y2QFmdpaZjTGzh8zsbYIj0N/WEM/nwBXhn9sB5wOzzGxReEnSUDPbvYaPHUMwkA2gO0G3+nIze9bMRpvZERnWsT4trr3KVknfBksj1E+/XWr7LHU+jNDOkvB1uyoxiNQrJW6RLaW6wHcl7V7kZtYOOKZKnRqZWTMz+5WZfQK8RTBC+mpgMJvP486oqQ13vyOM41U231q1K8EgufuBz8zslUzXJ7v7twTn2W8kGGgFQbf58cA1wDSCRH6rmbWNsk519G09tZt+tPtFhPqfpb3Ptt6fZSlP90mEdkTyTolbZEvPsTnJpd+7/BQ2D36qtZs8HNz2fwSDz/YkuFb7ZeBWgqT7Q+B77v6D2tpy95fdvR9Bd/BF4ed/nvoogsvXns302Ex3X+PuIwl+iBwNjAVmhfFAcInTCGCBme1RWyxFKn2cwG4R6qfXWZOlzvcitJN+lJ2tHZG8U+IWSePuG9ncXT4orSs5vZv8owhNnR5OAC8Ae7v7Ee5+mbvf5+7Ts4wSrym2T939Lnf/ibu3B3oTdH+vC6uMNrPuWZbd5O4vhIPRDiW4wch5wNywyp7AzbnEU0TSj7I7RajfOcuy6aK0kz4K/8sI9UXyQolbpLrU6PLvAQPMbCfg2LAsUjc5m0c5Q3C9cMZz4ma2b7YGzOzYcEDZBZnORbv7XHe/CPh1WLQd4SVg4W1OU8sekmHZNe5+H3A4m4/eaz36L0bhWIBUt/XhZrZjLYv8KO19tse4HpOlHICwdyJ105gP3H1lTfVF8kmJW6S6qQTXPkPQXX4ymy9RqrWbPJS6/MqBr2qoN7SGeccRHFHfxeZrsjNJP2pMXQK2ERgXLnt9tSVSwbmvJ7iEKn3ZOEpdurUT8Mtslczsh2y+89077r4kS9WjwrrZ/JpgtH76Z4tsE0rcIlWE3eWTwj9PJxhMBjDL3ZdlXqqa1K1LDfhZ1Zlm1iK8RefItOKqI5PTb396vZlVu7457A24LK1oergOa9k8evpoMzuBDMzsLIK7jlUuGwOZzj/fwebz9leb2ZCqFczsUCD9Rji13ar0YTM7KEM7o4D/F/5ZDvy51ohF8kj3KhfJ7G/ALwiOnFNdq1G7ySE4CrucIHHfY2YJgut+K4AuwIkEiXo1wVF5W+A4M/sfYLK7PwM8TXA/7h2BAcAiM3ucYMRzM4JzrIPYPKJ5apUjyL8C/01wL/SkmT1NcN/vNQSD0o4i6ConjOHeHNZvW1uf9v5XZtYKWO/ujwG4+7tmdg3BQ11aAA+Y2fkE9ytfQ3C99jHhPAiu5b6f7L4iGAz4ipk9R7DdUlca9Eqr91t3r6/L3EQyK/Q9VzVpKsRElXuVZ5jfFPg6rY4DnbK0le1e5WOqLF91WkiQBG6oUn5/WhsnEoxyr6kdJ0hEJVU+vyUwOcKy3wBn1dN2Tr9X+dW11H2B7E/96kxwM5r0uDPVu5ran8Y2EWiVYdn0e5WfQvCgmWxtfAdcU+j9WFPjnNRVLpKBu28iePxjyuvuvjTHNsYQXKo1CVhEkHi+AJ4lOJrv6e5vAaMJ7n39LcFDP95Na+MpguR3FcF110sIjj6/IBhY9SBwiLuf4FVGqbv7enc/meD2rX8D3iT4MfJv4D2CS99+RfCQjIdyWbdtzd0/BM4A5hDEv4Jgm1atdw3Bj6E7Cbbjvwi21zKCh74c7+6D3H1d1WWr+Jbg6PoCglMIKwm+v6XAX4C+7l7t8juRbcHcs97VT0Sk0QjPiz8Q/nmUu08rYDgiWemIW0REJEaUuEVERGJEiVtERCRGdDmYiFQys1OBP+SpuV+7+xN5aktEQkU/OM3MijtAERGReuDulqlcXeUiIiIxEpvEnbrw/Pzzz6/zxevF0kafPn2KIo5iaEPbszjb0DbNbxvanvlvoyFu09rEJnGLiIiIEreIiEisKHGLiIjEiBK3iIhIjMQucScSiQbTRj4Uy7rUtQ1tz+JsIx+KZV2KpY1iiKEhtZEPxbIuUduIzXXcxR7n1ujbty+zZ88udBgNhrZn/mmb5pe2Z/41xG1qFly+7bqOW0REJP5ic8vT0tLSamWJRKJoulpERERylUwmSSaTOS0Tm8RdVlZW6BBERETyKtMB6D333FPjMuoqFxERiREl7gLK1P0vW0/bM/+0TfNL2zP/GuM21ahyERGRIqJR5SIiIg2IEreIiEiMKHGLiIjESGwuBxNpSDqNfKrQIeRk6Q0nFjoEEQnpiFtERCRGlLhFRERiRF3lIgVWrN3QcevOF2ksdMQtIiISIzriFpHYKabegGLtMZGGS0fcIiIxYWaYGdOmTSt0KFl17tyZzp07FzqMBi2nxG1mg8xshpmtMbMVZjbZzA7MYXkzs3PM7JVw+c/NbKqZnZRz5CIijcwJJ5zACSecQElJSaFDkQKK3FVuZpcCfwr/XADsBCSA483saHd/NUIzE4CzgPXAPKA5cARwtJld5+6jo4cuIlKYrupCddX/4x//KMjnSnGJdMRtZiXAjcA64HB37+nuewGXAC2AOyK0cSJB0l4AdHH3w9z9IKAX8CUwysx6bN1qiIiINA5Ru8p/TpCgr3f3malCd78DeBY4yMx61tLGkeHr7939s7Q23gX+J4zlh1EDFxFpSGbOnMkpp5xChw4daN26Nfvvvz+jRo1i9erVlXUGDBhQ+eSodG+88QZnnHEGe+65JyUlJZx55pl8/PHHDB8+HDNj2bJllXU7d+7MgAEDqKio4MYbb2SfffahVatW7Lvvvlx77bVs2LChWvsvvfQSJ598Mh07dqRly5Z06NCBRCLBiy++WC/bQmqWS+IGmJRh3qQqdbJpHb5mej5nRfi6Q8R4REQajGeffZZ+/foxefJk2rRpQ9++fVm+fDm///3vOf3002t8rPGkSZPo378/EydOpGXLlnTq1ImJEydy2GGH8emnn2ZdrrS0lN/85je0bNmS/fffnw8++ICrr76aESNGbFFv6tSpDBgwgGQyScuWLTn88MNp0aIFTz75JMcdd5ySdwFETdydgVXh0XFVqXPbe9fSxiSCpD3KzPZIFZpZd+BiYAPwdMR4REQajFGjRlFRUUEymWT+/PlMmzaNjz76iAMOOICpU6cyZ86cjMutXbuWCy+8EIAnnniCxYsXM2fOHN59911atmzJpEmZjrVg9uzZPPnkk8yYMYP58+cze/ZsXnrpJZo1a8b999/Ppk2bKuv+4Q9/oKKigoceeoj33nuPF154gffff5+ysjI2bdrEgw8+mP8NIjWqNXFb0C+zK7AiS5VU+W41tePuU4CfAvsAH4Sj02cDbwPNgGPd/b2ogYuINBQLFy5kxx135KSTNl9gs8MOO3DTTTdx1VVX0bx584zLlZWV8eWXX3LxxRdzyimnVJZ37dqVW2+9NevnrVmzhptvvplDDjmksqxfv34ce+yxbNiwYYsj9b322ouzzz6bwYMHb9HG0KFDAVi6dGkuqyp5EGVU+c5hvZVZ5kdK3CEH1oRtHpZW/i2wsaYF+/btG6H5QGlpKaWlpZHri4gU0r777sucOXM4//zzufzyy9l3332BzZd/ZfP6668DVEuqACeddBI77rgj//rXv6rNMzPOOOOMauW77Vb9v/EHHnigWll5eTkTJ07MGpdUV1ZWRllZWV7aysed05qEr81qqmRmZxNcDvY+MBR4heC898nAH4CpZtbf3d/MtPzs2bPzEKqISPG56667OP3007n33nu599576d69O/379+eUU07h+OOPp1mzzP+9fvDBBwB06tSp2rztttuODh06sGDBgmrzdt99d1q1ahU5vkWLFvHqq68yd+5c5s6dy+zZs1m7dm3k5SW3A8pMAxDTRTnHvQLYBGS74j9VvryGIJoDtxBcTjbQ3Z9092/d/VN3HwdcQJDEr48Qj4hIg3LwwQezcOFCxo8fz6BBg/jqq6+45557OOmkk+jduzcffvhhxuUyjQBP16RJk4zlLVq0iBzbr3/9a7p3786wYcN46qmn6NGjB3feeSfz58+P3IbkV62J24PhjF8RdG9nkirPmriBfQnOk89y98UZ5k8kGJzWr7Z4REQaotatW/Of//mfPPbYY3z11VfMmDGDE088kQULFnD55ZdnXKZr165A9vPM6ZeBbY2XX36ZG264gV69ejF//nzef/99xo0bx9ChQ+nevXud2patF3VU+RKgTZZrtX8Qvmb+SRhIXe6VsW/F3TcRJO6KTPNFRBqqRYsW0bt3by644ILKMjPjsMMOqzwn+s4772Rc9sADDwTgkUceqTbvn//8J6tWrapTbDNnBrftGDJkCPvvv3/GebLtRU3cqb3itAzzTq1SJ5P3CBLzwWbWuupMM+sDtAHmRoxHRKRB2HPPPZk3bx7jx4+vNpYnNQCsV69eGZe9+OKLadu2LX/+859JJpOV5UuXLuWSSy6pc2zt27cHghuwVFRsPq6aM2cOQ4YMAeCbb76p8+dIbqIOTnsYGAv8xsyeS909zcyGA8cTdIG/lW1hd99kZg8CpcD9Zna+u68K2+gG3B9WvW8r10NEGqliesTn1mjdujUjRozg1ltv5dBDD6Vv3760bduWxYsXs2TJEtq2bcvo0Zkf41BSUsLtt9/OL37xC04++WS6dOlCu3btmDdvHv379+eQQw5hwoQJtG5d7Xgpkh//+MfssccePPHEE3Ts2JGuXbvy2Wef8d5775FIJGjVqhVvvfUWffr04ZlnnmGXXXapy6aQiCIdcbv7SmAk0BKYYWZvmdknwO0EA86Gp+qa2a5m9o9w2jWtmf8iOKL+CfBJeB33WwT3Lj8AeMDdH8rHSomIxMmNN97IuHHj6N27N4sXL2b69Ok0b96cCy+8kDfeeKNaN3W6c845hylTpjBw4EBWrlzJRx99xEUXXcTTTz9NeXk5TZo0Yeedsw1RqllJSQkvvPACZ5xxBt999x1z586lQ4cOlJWVMXnyZMaNG8d+++3Hd999R9Om+bhISaKwmm6lV62y2SDgCoJEWw68BFzl7m+n1ekILA3/7OTuy9LmNQVGEHSv7w/8G5gPjHP3J7J8pgM13vJPJG7SjxIL8XSrKIo5xmI6yi62bZOuf//+LF68mM8++6z2ylI0UpeDuXvG68Jy+onk7hMJRoDXVGcZkPHDwkFoY8NJRGSrFHOy3JYeffRRRo8ezRVXXMG55567xbzPP/+cWbNm0a+fLtZpaKIOThMRkSJzwAEHsHDhQm6++eYtRpBv2LCBESNGUF5evsVodWkYdFJCRCSmunfvzuWXX87YsWPp2rUrAwcOxN2ZPn06S5YsoWfPnpx++umFDlPyTIlbRCTGbrrpJnr37s2dd97JU089RUVFBd26dePUU09l1KhRWW+XKvGlxC0iEmNmxuDBgzM+aEQaJp3jFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiZHYXMddWlparSyRSJBIJAoQjYiISN0lk8ktnqUeRU5PBysEPR1MGqJifvJWShxiFGmI8vp0MBGRojCmbaEj2GzMqtrriOSRznGLiBRY586d6dy5c6HDwMwYMGBAocMoatOmTcPMuOaaawoWgxK3iIhIjKirXETirRBd1cXUVS+Njo64RUREYkSJW0SkSKxdu5bLLruMvfbaix122IHDDz+c66+/nk2bNm1R7/PPP+eKK66gR48e7LDDDuy888706dOHW2+9lfLy8mrtVlRUcMstt3DkkUfStm1bOnfuzODBg/nggw9qjenrr79m//33x8woKyvbYt4bb7zBGWecwZ577klJSQlnnnkmH3/8McOHD8fMWLZsWWXdzp07M3DgQDZu3MiFF15I27Zt+dWvflU5f+PGjVx//fX079+ftm3b0rVrV37yk58wZ86cajENGDCgcuR1Vddccw1mxrRp0yrLhg0bVln/iSee4OCDD6Z169Z06NCBYcOG8dlnn1VrZ/ny5Zx77rn06NGDkpISBg4cyIMPPlgUVzipq1xEpAhs3LiRH//4x7z00kt069aNdu3a8dprrzFz5kyeeeYZpkyZQsuWLVm7di3HHHMM77zzDiUlJRx00EGsX7+euXPnctlll7FgwQLuvffeynbXr1/PySefzHPPPcf2229Pr169+Pzzz3nkkUf4+9//zpw5c9h3330zxrR69WpOOOEE3nnnHW655ZYt7qcxadIkzjrrLNatW8fee+/NbrvtxsSJE3nllVc49NBDM7ZXUVHBueeey8MPP0yHDh3Ye++9Kz/n+OOP57XXXqNly5b06tWLL774gscee4zJkydz1113MWzYsDpv4wkTJjBkyBD22msvDjzwQObNm8cDDzzAnDlzeP3112nevDkAb775JgMHDuSLL76gTZs27L///pXfwzHHHFPnOOrM3Yt6AjwIU6Th6PjfT1ZOxaqoY7y6zeapAXx+p06dHPA2bdr4c889V1n+zjvv+N577+2A33LLLe7uPmHCBAc8kUj4unXrKusuW7bM27dv782bN/cNGzZUlo8dO9YB/9GPfuSrV692d/eKigq/8cYbHfDjjjuusi7gRx11lLu7r1271n/4wx864Ndcc80W8a5Zs8Z33XVXb9WqlT/xxBOV5YsWLaqMF/ClS5dusY5Nmzb1bt26+ZtvvrlFe1dddZUDPmDAAF+xYkVl+WOPPeYtW7b0Nm3a+Ndff11ZftRRR2XNC2PGjHHAX3zxxcqyoUOHOuA77bST33fffZXly5cvr4z35Zdfrizv16+fA37eeed5eXm5u7tv2rTJhw8fXrluY8aMyfj5+ZCW9zLmRXWVi4gUiauuuopjjz228u8ePXrwwAMPAHDTTTdVlp900kmMGTOGli1bVpZ16NCBAQMGUF5ezvLly4HgKP4Pf/gDLVq0YPz48ey4445AcNnXlVdeSbdu3Xj55ZfZsGHDFnFs2LCB0047jVdeeYXLL7+c0aNHbzG/rKyML7/8kosvvphTTjmlsrxr167ceuutWddv06ZN/OlPf+LAAw+sLFu3bh233norLVq04KGHHqKkpKRy3qBBg7joootYvXo1d955Z22br1ann3465557buXfu+++OxdccAEAixcvBuCll15i+vTp7Lvvvtx99900a9YMgCZNmnDbbbex33771TmOulLiFhEpEkOHDq1W1r9/f7p3784XX3zBihUrOPvss0kmkxx00EFb1Fu4cGG188FLly5lxYoVHHvssey6667V2n7++eeZO3cu2223ORVs3LiRn/3sZ/zzn//EzDLG9PrrrwMwePDgavNOOumkyh8IVTVp0oTjjz9+i7LFixezdu1ajjvuONq3b19tmbPPPhuAt99+O2ObufjpT39arWy33Xbb4u958+YBwXeRvl0g+MEzZMiQOsdRVzrHLSJSBNq0acMuu+yScV63bt1YuHAhixcvZuedd2bVqlVMmzaNuXPnMnfuXGbPns3HH39cbbn3338fgI4dO2Zsd88996xWNn36dAB69+7Nm2++yaWXXsqUKVO2qJMa1NapU6dqy2+33XZ06NCBBQsWVJu3yy670KRJky3KlixZApD1BjSp8tQRcV1EuclNat322WefjPOzlW9LOuIWESkCVRNaOg9HMm+//fa8+uqr7LPPPpxyyimMHTsWgOHDh/Piiy9WO6JMdYGnunujuuKKK5g+fTqdOnVi6tSpPP744xnbzXVd0rv2U1LrVltbGzdurLFeSqZR9SktWrSodfnUALVso9Zr+p62FSVuEZEisHLlSr755puM8xYtWoSZsffee3POOefw7bff8vDDD/P111/z+OOPc8UVV3DkkUdWJp2U1NFh+mVZ6T744AOmTZvGqlWbb2LTp08fbrrpJlq1asUf//hHAC677DLWrVtXWadr165A0BWfSbbPy6RLly4AfPjhhxnnp47IU59Zm2wxRZU6Kk/1VlSVjyP/ulLiFhEpEqmBaOmmTZvGe++9R8+ePVm7di2LFy9mv/324+c///kWibqiooJZs2ZtsWyXLl1o1aoVU6ZMyfijYNiwYRx11FFbJOX089OnnXYaxx13HMuWLePGG2+sLE8NLnvkkUeqtfnPf/5zix8CtenSpQvbb789U6ZM4fPPP682f/z48QD06tWr2ryq67Ru3Tqef/75yJ+dyfe//30g+C4qKiqqzZ8wYUKd2s8HJW4RkSJx7bXX8sILL1T+vWDBgsrrl0ePHk27du1o0aIFS5Ys2eKoduXKlZx33nksWrQI2JzQtt9+e0aMGMGaNWsYMmQIa9asqVzmwQcf5JVXXqFv377svvvuWWO6/fbbadasGTfddFPlZ1588cW0bduWP//5z1s8S3rp0qVccsklOa1zq1atGDFiBOvXr+fss8/m22+/rZz36KOPMm7cONq0acMvf/nLyvLUufU77rijsmzTpk1ccsklfPnllzl9flX9+vWjf//+vPfee1x44YWVXfQVFRVceeWVzJ07t07t54MGp4lIvDWQ+4b369ePL7/8kqOPPpru3bvTrFkzFixYQEVFBWeffTaDBg2qHOV9991306NHD/r06UN5eTnz589np5124pxzzmH8+PH8+Mc/ZuzYsZx11lmMHDmSKVOm8OSTT9K+fXt69erFN998w8KFC2nVqhX33XdfjXF1796dSy+9lLFjx3LZZZcxceJESkpKuP322/nFL37BySefTJcuXWjXrh3z5s2jf//+HHLIIUyYMIHWrVtHWvcrr7ySKVOmMHXqVPbYY4/Km8QsW7aM5s2bc9ttt20xcG/YsGGMHz+eMWPGkEwm6dixI2+88QYrVqzg17/+Nb/73e/q9F3cdtttDBw4kHvuuYe//e1v7LfffixatIgVK1bwy1/+Mi+XptWFjrhFRIpAu3btePXVVznvvPNYuXIlS5cu5YgjjmDcuHFMmDChcrDUbbfdxnXXXUeHDh2YM2cOGzdu5LzzzuOtt97i7rvv5vTTTwc2D0hr06YN06dPZ8yYMfTs2ZO33nqL8vJyBg8ezPz58zN2QVc1evRo2rdvz+OPP145wvycc85hypQpDBw4kJUrV/LRRx9x0UUX8fTTT1NeXk6TJk3YeeedI61727ZteeWVV7j22mvp3bs37777Lk2bNmXQoEHMnDmz2iVpRxxxBE899RQ/+MEPeP/995k6dSo9e/Zk5syZ9O7dO+omzyo1on7o0KG0b9+eN998k913352ysjKuu+66OrdfV1bbiL5CM7Pg9mlFHqdILjqNfKry/dIbTixgJNkVdYzFdJRdiKeTFbn+/fuzePHijPcAl9qlfqS5e8ah7eoqF5H4UbIsqEcffZTRo0dzxRVXbHEnMggegDJr1iz69etXoOgaPnWVi4hITg444AAWLlzIzTffvMUI8g0bNjBixAjKy8srbyUq+RebI+70p9KkJBIJEolEAaIREWm8unfvzuWXX87YsWPp2rUrAwcOxN2ZPn06S5YsoWfPnpXn2qVmyWRyi5H5Uegct0gBFPX541AcYpTCcXceeeQR7rzzThYtWkRFRQXdunWjX79+jBo1aouHhUhudI5bRETyzswYPHhwxgeNSP3SOW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYaVroAKIqLS2tVpZIJEgkEgWIRkREpO6SySTJZDKnZczd6ymc/DAzByj2OEVy0WnkU5Xvl95wYgEjyS4OMYo0RGYGgLtbpvnqKhcREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYmRnBK3mQ0ysxlmtsbMVpjZZDM7MMc2OpnZX8zs07Cd2WY2zFKPQxEREZGsIiduM7sUeAw4DFgKrAMSwEwz+0HENg4A3gSGAU2At4H9gb8AY3MJXEREpDGKlLjNrAS4kSBZH+7uPd19L+ASoAVwR8TP+19gJ+BCoL27Hw7sB3wC/MrMDsotfBERkcYl6hH3zwkS9PXuPjNV6O53AM8CB5lZz5oaMLPDgV7APe5+t7t72MaHwG8BA07PfRVEREQaj1wSN8CkDPMmVamTzXnh6/0Z5j0EdAJuixiPiIhIo9Q0Yr3OwCp3fzfDvFfD171raeMw4N/uPqPqDHffCCyLGIuIiEijVesRdzjae1dgRZYqqfLdammqPfCFme1lZuPM7C0zW2Vmr5rZCDPTpWkiIiK1iHLEvXNYb2WW+bUmbjNrAbQD/gW8RvBD4F3gPaA3cDhwkpkd7+4Vmdro27dvhFADpaWllJaWRq4vIiJSn8rKyigrK8tLW1G7ymvSJHxtVkOdkvC1A7AAONrd3wMwsz0IzpMfA1wM3JmpgdmzZ+chVBERkW0vlwPK2m5rEqV7egWwic3Jt6pU+fIa2kg/Wh+aStoA7v4ZkFqb2ga4iYiINGq1HnG7u5vZVwRd5pmkyrMmbndfb2arAHP3aofO7j7PzP4FHBAhZhERkUYr6oCwJUCbLNdqp+6a9mEtbXwKNDezJlVnhAPTtiM4By4iIiJZRE3cj4Svp2WYd2qVOtlMAloSnMuuqh/QmuAWqCIiIpJF1MT9MLAe+I2ZHZYqNLPhwPHALHd/q5Y27gEqgLvN7PtpbewbzgO4PWrgIiIijVGkxO3uK4GRBEfMM8JrsD8hSLTrgOGpuma2q5n9I5x2TWtjGXADwR3S3jCzeWb2JjAf2Be4092fztN6iYiINEiRb3ri7rcBZxBch92FoGt7MnCou89Kq9oKOCGcWlVpYxRwNvA6wZ3W9gCeB0519+GIiIhIjXK6jtvdJwITa6mzjOCBIdnmP0Rwb3IRERHJkW4zKiIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMZLTQ0YKqbS0tFpZIpEgkUgUIBoREZG6SyaTJJPJnJYxd6+ncPLDzByg2OMUyUWnkU9Vvl96w4kFjCS7OMQo0hCZBQ/YdPeMT9pUV7mIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIuXuhY6iRmTlAsccpkpMxbQsdQW7GrCp0BCKNhpkB4O6Wab6OuEVERGKkaaEDiKq0tLRaWSKRIJFIFCAaERGRuksmkySTyZyWUVe5SCGkd5UXazd0HGIUaYDUVS4iItKAKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjESNNCBxBVaWlptbJEIkEikShANCIiInWXTCZJJpM5LWPuXk/h5IeZOUCxxymSkzFt096vKlwcNYlDjCINkJkB4O6Wab66ykVERGJEiVtERCRGlLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGlLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGIkp8RtZoPMbIaZrTGzFWY22cwO3NoPt8CzZuZm1mRr2xEREWksIiduM7sUeAw4DFgKrAMSwEwz+8FWfv4vgeO3clkREZFGJ1LiNrMS4EaCZH24u/d0972AS4AWwB25frCZ7QfclOtyIiIijVnUI+6fEyTo6919ZqrQ3e8AngUOMrOeUT/UzJoDDwFrgZXRwxUREWncckncAJMyzJtUpU4U1wEHAhcCq3JYTkREpFGLmrg7A6vc/d0M814NX/eO0pCZHQlcDox398cifr6IiIgQIXGbmQG7AiuyVEmV7xahrbbAeOBjYHjEGEVERCTUNEKdncN62c5FR07cwJ+BvYAB7r46Qv1Kffv2jVy3tLSU0tLSXJoXERGpN2VlZZSVleWlrSiJuzap66+b1VTJzM4EzgJucveXcv2Q2bNnb0VoIiIihZfLAWXQ0Z1dlHPcK4BNQEmW+any5TUEsRcwDpgH/DbCZ4qIiEgGtR5xu7ub2VcEXeaZpMqzJm7gGKAd8Bnw9yq/JlJd7E+bWQVwrbvPqC0uERGRxihqV/kSoJ+Z9XT3+VXmpe6a9mGEdvYPp0xSd1C7K2JMIiIijU7Uy8EeCV9PyzDv1Cp1qnH3B93dMk0Et08FaBqW/T1iTCIiIo1O1MT9MLAe+I2ZHZYqNLPhBEfKs9z9rXqIT0RERNJEStzuvhIYCbQEZpjZW2b2CXA7wf3LK6/JNrNdzewf4bRrfQQtIiLSWEV+Opi73wacAbwGdAFaA5OBQ919VlrVVsAJ4dQqf6GKiIhITtdxu/tEYGItdZYBNV+EtmX9zrnEICIi0phFPuIWERGRwlPiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJkZweMlJIpaWl1coSiQSJRKIA0YiIiNRdMpkkmUzmtIy5ez2Fkx9m5gDFHqdITsa0TXu/qnBx1CQOMYo0QGbBAzbdPeOTNtVVLiIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNNCx1AVKWlpdXKEokEiUSiANGIiIjUXTKZJJlM5rSMuXs9hZMfZuYAxR6nSE7GtE17v6pwcdQkDjGKNEBmBoC7W6b56ioXERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGGla6ACiKi0trVaWSCRIJBIFiEZERKTukskkyWQyp2XM3espnPwwMwco9jhFcjKmbdr7VYWLoyZxiFGkATIzANzdMs1XV7mIiEiMKHGLiIjEiBK3iIhIjMRmcJqIFFD6+e5ipHPw0ojoiFtERCRGlLhFRERiRF3lIpJRp/UPV75fesOJBYwki2LvvhepJzriFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGMkpcZvZIDObYWZrzGyFmU02swNzbGOwmb1gZsvN7Gszm2pmQ3KKWkREpJGKnLjN7FLgMeAwYCmwDkgAM83sBxHbuAd4COgHfAF8BPQHHjCzxy31LDMRERHJKFLiNrMS4EaCZH24u/d0972AS4AWwB0R2jgMOI8gWX/f3Q9094OA/YC3gdOA0q1aCxERkUYi6hH3zwkS9PXuPjNV6O53AM8CB5lZz1raGBq+XuPu76a18QGQ6io/J2I8IiIijVIuiRtgUoZ5k6rUyWbv8PXFqjPc/U1gJdArYjwiIiKNUtR7lXcGVqUfKad5NXzdO8O8dDOBZcCnVWeYWUtgB2BFxHhEREQapVoTdzhgbFeCc9OZpJLtbjW14+6ja5j930Az4KXa4hEREWnMohxx7xzWW5llfqTEnUn4o+B64DfABuD32er27ds3crulpaWUlmqcm4iIFIeysjLKysry0lY+HuvZJHxtlstCZtYHuJPg8rJyYIi7z8tWf/bs2VsdoIiISCHlckBZ25XRUQanrQA2ASVZ5qfKl0cMqIWZ3QTMIkjabwOHuftfoywvIiLSmNV6xO3ubmZfEXSZZ5IqrzVxm9mewDNAT4IfBL8Fytz9u2jhioiING5RLwdbArTJcq126q5pH9bUgJntCDxFkLRfA3q5+zglbRERkeiiJu5HwtfTMsw7tUqdbC4Bvg88Dhzp7p9F/GwREREJRU3cDwPrgd+Ety4FwMyGA8cDs9z9rVraOB/4DrjQ3TdsTbAiIiKNXaRR5e6+0sxGAn8CZpjZ2wSD0vYkuH/58FRdM9sVeDD8c4i7f2lmOwMdCZL/+BpGzK1098FbsyIiIiKNQeTLwdz9NjP7BLgCOIDgEq7JwFXu/nZa1VbACWnvATqFry3T5mXyedR4REREGqOcruN294nAxFrqLAOsStkbVctEREQkd5Gfxy0iIiKFp8QtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjOT1kpJBKS0urlSUSCRKJRAGiERERqbtkMkkymcxpGXP3egonP8zMAYo9TpGcjGmb9n5V4eKoQaeRT1W+X3rDiQWMJIsYbEORrWEWPEzT3TM+VVNd5SIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjTQsdQFSlpaXVyhKJBIlEogDRiIiI1F0ymSSZTOa0jLl7PYWTH2bmAMUep0hOxrRNe7+qcHHUoNPIpyrfL73hxAJGkkUMtqHI1jAzANzdMs1XV7mIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjESGyexy0iklX6Iz6LlR49KnmiI24REZEYUeIWERGJEXWVi0g8xaHrOQ5d+BI7OuIWERGJESVuERGRGIlNV3lpaWm1skQiQSKRKEA0IiIidZdMJkkmkzktY+5eT+Hkh5k5QLHHKZKT9HOfRXquttPIpyrfL73hxAJGEmMx+J6l+JgZAO5umearq1xERCRGlLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGlLhFRERiRIm7gMrKygodQoOi7SnFTvto/jXGbarEXUCNcYerT9qeUuy0j+ZfY9ymStwiIiIxEpuHjIiIxNqYtsw+ieJ+Rrfupx4LOuIWERGJkZwSt5kNMrMZZrbGzFaY2WQzO3BbtyEiItJouXukCbgU8HCaD3wSvl8P/KC+2kjVT5k8ebLXVbG00adPn6KIoxjaaHTb8+o2m6dCxlGDjv/9ZOVUyDgaUhtFuY/Wsi9uszi2UlFu0zq2kZb3MubSSEfcZlYC3AisAw53957uvhdwCdACuGNbtAHk/MDxYm4jH4plXerahrZncbaRD8WyLsXSRjHE0JDayIdiWZeobUQdnPZzguQ6yt1npgrd/Q4zOxH4kZn1dPf59dyGSDRbOQCobA9gzF/r9NH5aEOkIHL4d1OQfysaPAfklrgBJmWYNwn4UVhnVD23ISIF0GnkU1u/cMkpdVs+QhtLbzixbu2LxEjUxN0ZWOXu72aY92r4uvc2aENERBqrDD0C+bjELq+9B9ugV8CC8+A1VDAzoBz4yN27ZJi/B/Ap8IK7H53vNsys5gBFREQaIHe3TOVRBqftTHBkvjLL/BXh62713IaIiEijl487pzUJX5vVRxvZfnGIiIg0RlGOuFcAm4CSLPNT5cvruQ0REZFGr9bEHV4M/hVBd3cmqfKsSTcfbYiIiEj0W54uAdqYWc8M834Qvn64DdoQERFp1KIm7kfC19MyzDu1Sp36bENERKRRq/VyMAAzawd8Fv45IHXnMzMbDtwOzHL3Q+u7DRERkcYuUuIGMLNLgT+Ff75NMKBsT4J7jx/l7rPCersCD4b1hrj7l7m2EXdm9v+Ak2qocrO7Px+xraOA3wJ9w6LZwO+iLt+QmNnxwOVAd6ANwT70OHC7u38XsY28fTdxZWaDCLbjAcAGYDow2t3nbss2GgozGwycT7BfNgPmAePd/cEaF9y8/LXAwTVUudzdF9Q50JjI1/Zo0PtotqePZJqAQcBMYC3BNdl/Bw6oUqcjm58A1nFr2oj7BCTTtkGm6ayI7ZwOfBcu8344eVh2RqHXcxtv01Fp674AeI3gB5+H+1OLbfndxHWiQE/5a6gTcE+47uXAXGBO+N4JflRahDbermWf7Ffo9dzG27TO26Oh76MFD6AhTsC7BLd3rUsbTQhOLXwHnJZWfmpY9gXQtNDruo22Z6fwH9y36f9oCW7Y80L4D/IP2+q7ietE0MO1Hvg3cFha+fBwG76xLdpoKBNwWLjOy4AeaeX7AG+F8y6opQ0Lt+XcQq9PMUz52B6NYR+NOjhNIjKz7Qjuy/5+HZs6AWgP3OfulQ9mcfcnCH7l7xrWaQx+RvBkudvdfXqq0N2/COeVA+fU1kgev5u4Sj2h73qv8oQ+4FngoCxXfeS7jYZiaPh6jac9g8HdPwCGhH/Wtl+2B1oBH+Q9unjKx/Zo8PuoEnf+7UWw09Q1OdT2NLX0Og1d6uEzL1adESbvd4A9zOx7tbSTr+8mrvKxT2m/3Kym/fJNglOBvWppY5/wtbHuk1XlY3s0+H00H7c8lS2ldrzFZvZz4GhgR4Kus7979EEmncPXGRnmNbanqc0H7gXeyzK/hKALbG0t7eTru4krPeUvv2YSdJN/WnWGmbUEdmDzcxiySe2Ty8yslOCeFk0IBrg96u7L8hduLORjezT8fbTQffUNbSIYXerAGqoPqtgAXBmxncUEt4nNOLglbGtJode30BNBl6QDr22r7yaOE8G5w43A4izz9wi3w/P12UZjmYCrw23x11rq/a6GfXI18J+FXpdtvN3qtD0ayz6qrvL8S/1iLCfojtkN+A/gl2HZjWZ2XIR2dgO+9XBvy+AbGvnT1MzsIuAvBP8Qx0RYJF/fTRzpKX/bgAV+R7A/bgB+X8siqX1yBXAiQe/R3sBooCVwn5ntVz/RFqW6bo9GsY+qqzz/XiZIqpN9y66aP5vZSuAh4HrguTp+ThMa6fdnZvsAtwE/Jkjal7v7PyIsuq2+mziq16f8NQZm1ge4k2C0eTnBfSzm1bLYZIJLyCa4e+oGVSuB68zsO4Ij0KuBM+sn6qJT39ujQeyjkW/AIpuZWaYkMcTTbjaTZTkjSBwtgR28hpuGmNligsugmmY66jazjcBn7t4xl9iLVZRtGo4Kv4wgubYgOL/4C3efmofPj/zdxFG4fuXAx+5e7fyeme0FfAy85O5H1lcbDZGZtQCuA/6LYMDv2wT77pt1bHcngqT1vrt3q2uccRdlezSWfbRRHrHlQabLsFrVtpC7u5l9QHAXtF2Az2uo/gVBF9FOVOn2MbO2BN9dQ3qaWo3b1Mx2JLh5ypEEg9CuB8a6+/p8fHiO303shOtX56f81bWNhsbM9gSeAXoSdMP+FijLxw8/d//WzL4GOtS1rYYgyvZoLPuoznFvBXe3DNMyM2tlZkPM7OQaFv8eQeL5opaPWRK+9sswr8E9TS3bNgUws6bARIKkvQg42N2vzyVp5/m7iSs95S+Pwh+TTxEk7deAXu4+LmrSNrNdwn3y6CzzmwJtCQaqNnh53B4Nfh9V4s4jd19HMIjicTPbo+p8M+tB8GtxXg2DzlKiPE3t4a0MNW7OBI4juJTjEM98mUeN8vzdxJWe8pdflwDfJ7i16ZFp52SjWgP8GXjUzDL12B1DcC52bl2CjJF8bY+Gv48Welh7Q5uAawgGTL0IfC+tvDPBA0IcOC5CO00Irg+tIPMtTz8FmhR6fbfRNn0x3G69i+G7iesEtCO4v/s6Mt8KMsoldXVuo6FMwFKCSzZ3qUMbD4bb7f8Ixlakyg8kOLIsB/Yv9Lpuw21a5+3RGPZRDU7LMzNrDkwjGFm6luDmHq2BHgS/Fse6+xVVlkkNzLrS3d9OKz8NeIygZ+R9gmsU9yFI5qe7+9/rd22Kg5mtJrhRyrME//CyOdndN4bLVNumW/PdNDR6yl9+mNnOwNcE98R+sYaqK919cLbtGT7u+HWgC8FYlgUE52G7Eezr/+Xut9fLShShXLZHo95HC/3LoSFOwPbASIK7/awmGMWYBH6UpX7qBgNHZph3FPB82M5qYCpwRKHXcRtuy53Ttk9tU4u05TJu01y/m4Y4oaf85WMb9om4Ty6vbXsSJJUbCG7du5bgyHIiwViOgq9rAbZtpO3RmPdRHXGLiIjEiAaniYiIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiM/H+6gkVubmevNwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAHDCAYAAADMYNgsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAABAu0lEQVR4nO3deZgU1b3/8fdXRBhR0OGKIoZVEBSJCCrCRcFE4sKoiDdGQkSj4pKgxKAx0SAqMaIkCGqMY4wKj3p/1wXj6DVuUVQUCbKjCILghhsiChdZnO/vj6oeema6Z2pmeqanqz+v56mnek6dOudUdcG3q+rUKXN3REREJJ52yXYDREREpP4o0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvcSKmR1rZh5Oo3Kl7Bq2496kdqSbSs3sAzN7wczuMLOjopTXkNtRU0nbdm+225IJZvZeuD0vZrDMNmZ2spmdG07Hm9kemSpfcpMCvUiGmNkoM7vWzC7LdlsAAw4AjgMuAeaY2V1mtmu9VFb+x0fOBWIz6xy2/e1st6U2zOz7ZvZP4FPgSeDv4fQssN7M7jGz/bPZRsmeevlHL5KnzgEGAWuAqQ1U51RgZYr03YGuwA+BTmHaaGAzcHnDNC2nnJXtBtSWmR0P/AMoSJNlN+DnwFAzO9Hd5zdY46RRUKAXyW0z3X1WuoVm1gy4AbgiTLrUzP7i7u82SOtygJm1B8Zmux21YWaFwIPsDPLzgKuBReHffYDrgL5AG+BJMzvE3Tc0dFsle3TpXiTG3H0r8BvglTCpCXB6PdRzrrtbOJ2b6fLrg5k1M7ORwHPAf2S7PbU0mp1tfwno7+7Puvun4fS/QD/gsTBPW3b+6JM8oUAvEnMevNDikaSkw7PVlsbAzG4ws2XAJmAG0C3LTaqLU5M+/8bdt1fM4O7fARcC/xcm5extCqkdBXrJKWbW18z+ZmarzWyLmX1mZi+Z2XlmFul4NrNeZna7mb1tZt+Y2Xozm2dmU8zswFq0KdFjfVCY1DGpY9q1KfK3MrMrwna/G27Hp2Y238ymm1m/mrYhglVJn/eqKqOZ7WJmF5jZq2b2RbiPFoS999umWWdU0jYfm8mGV9HO/c3sT2a2wsz+z8w+NrNZZjbazJpUsep/AgfTyG5dhsfF9Wa2NNznn5vZbDO7ysyap8i/C9A7/HONu89NV7a7fwEsCP/sqJ74+aVRHegiVTGzGwkuQycH9ObAseF0NjC5ivUNuAkYR+UfuYUE9zMvM7Pr3X1C5lperg2nEJxFtqywqDnBPdTewM/M7B53Pz+DVXdO+ry6ivbtDswEhlRYdFg4jTKz46oKKg3BzI4m6IC2T1JyAcGl6WMI2jko1RkucG2F9QDuTJHWYMysG/A05b+nPQguy/cHzjOzI9z9q6TlrYBm4ecoTwt8mvS5OcEVDckDCvSSE8Iz498mJS0kuO/8JcF/hIMI/oPvVHHdJNOAX4afvyV4DGkpwX+WfYDjCR5Lu9bMWrn7ryI2L1HmZQQ93b8ExodpZQHRzNoRdJxqESa9Bfwv8AnBWXZfggC7C8F/7HPc/W8R25BW+ANneFLSonR5gQfCNnxIcO/6HYJtGkEQSFsAD5pZd3ffUde21VIXoARoDbwGvErwNMEgYHCYpz9wDUFQL8fdX66YZmaTyV6gb01wHHQm+G5eAj4HjgROCfMcSPCERfL4DTuAq8LPCyPU0yucbwzP8CVfuLsmTY16IrjMuh1w4DuCe5EV8wwiCLCeNI1KWn58UvpsoFOKMgYQPBrnQClwVIXlx6YqO2n5i+Gy99JsxwVJ698OWIo8PwrrduCxNOXcm1TOsdXsu92ASUn5NwEdqijPCc6U96yQp0uF/XtoheWjorapDsdBchu3AhekyPOrpDxv1qDs98J13m7A4/q9pLaWEvwosQp5Tk/Ks74OdQ1PKuephtpGTY1j0hm95IJL2Xn16c/uPqliBnd/yYLR6p5IU0biasCnwOnu/mnFDO4+28zOJDhD3JXgNkEme6gfFs63A79190oj0bn7M2FHsZ7AoRHKHGZmPVOkFxCcBR5P+cvBV7v72irK+xD4sQe99ZPbtcrM/gRMDJN6AksitK++3Orud1dMdPcpZnYJwban2i+N1cPufl3FRHd/zMyeJxgPodDM2rr7upoUbGaHA/ckJVX69yPxpkAvuaAonP8fcEsV+Z4kCD7lAqSZtWHnJd37UwX5BHd/w8xmAT8AjjUzSxWQa+lO4H+Ab939myryJe6dRvn3GXUUvh0E++62avJNqhjkkyxI+rxbxHrrw1aqPg4WEAT6bLaxpm6oYtkCgkAPNdimcBTES4Eb2Xkv/2+e4taFxJsCvTRq4bCdiaE7X3P3z9LldXc3syeofCZ8dNLn1mb2i2qqTfTYLiQYRvaDGjQ5LXdfWtVyM2sBnMTOntR19S2wjOC+7+3uvqCa/BDc805nc0ZaVXcrvOp7zI2lnVF9U82xUePtMbMfAX8muO2V8A/gopqWJblPgV4au32TPqftLZ7kvRRp30v6fF4N69+zhvkjMbPvEXS+60bQ2a1H+HdNz0IHeRUj49XCquqzZF0utLEmMrY94eOPf2VnJz4IfvBdDUzJ4NUpySEK9NLY7Z70Ocq9yY9SpLWqQ/0VH4OrEzMrAq5n5/36ilYStLdNJuuNyt03ZqPeGvoq2w3IsK8yUYiZnQXcAeydlPwkMM7d38lEHZKbFOilsfs66XPKwVoq2C9FWvKlz5Pc/em6Nal2zGwsMCUpaQnwBsGl9XeA5e7+gQWvLc1KoJfcZGZ/AS5OSloEXO7u/8pSk6QRUaCXxu7jpM+d0+baKdVz9Mmd7xIDkzSosK9BorfzxwQ9/99Il71hWiVxYGbXszPIbyO4YnSTB0PfiijQS+Pm7uvN7D2CAN7fzNpU1SEPODFFWvIobn2rq9PMLiS4MvCJu99VowandwI777//toogD7k99ro0IDM7Cfh9+OdGYKi7v5rFJkkjpLHuJRf8I5zvTvBse0pmNgQ4omK6u68i6H0OcJaZ9aqYJ6mMXgSPwU2g6lH2aqow6XPaHyphb+kotyhEoPzrdYcryEsqCvSSC/5CMMgMwFgzqxTszaw/wRjy6SSeu24C/LeZfT9FGe2BRwkunZcC99eyvXuneMHOW0mfU749LOyo93CFcnLpWXBpQGbWlZ3P1z/t7i9ksz3SeOnSvTR67r7SzCYAfyD4cXqTmf2EYAS7xJjgPyQYFOQ5gqFqd6tQxv1mdjrBY0c9gLlm9jRBp6WtwCEEw4QmBhb5tbtHeVFIsm/DeSvgZjN7A1jl7vOB18O27gOcbWYHAc8A3wDtwzb3Ihii9EOC5/dbATPN7B/uXlzDtkj8HcXO/hzfRRgfIuE7d/9rPbVJGiEFeskJ7n5j+Ga13xIE+8Oo/IjabODHpH8M78fAfcBPCH4InEr593lDEPRvdPdba9HMVwjuxQP8OpxPAOa7+wYz+xnBbYhmBP9JH1Vh/a8IOlVtJHjJCQQD6BwMKNBLRcm3loaGUxTfEjxrL3lCl+4lZ7j7NQT34O8hGBjnW4LgOJfgDXKDvPxrPCuuv9XdzyJ4Ac79YRlbCM60ZxO83a6ru19fyybeQvCa3A8JfjB8QPBmukT9zxB0tCsmuJKwCdgQtv8aoIu7/3f4+N/FYTnrgXm1bI/EW5SnUESCNyWJiIhIPOmMXkREJMYU6EVERGJMgV5ERCTG1OteRDLOzI4ApmeouNvd/Y4MlVUr4RDGmXpOfaa7/y5DZYlUK3ad8cwsXhskIiISgbunfE+GLt2LiIjEWGwDvbvj7lxwwQVln2s7NZYy+vTp0yja0RjK0P5snGVon2a2DO3PzJcRx31andgGehEREYlxZ7zRo0cD8Morr5R9LioqoqioKJvNEhERqbWSkhJKSkqA8vGtKrEN9MXFwdDgo0ePLvssIiKSy5JPWBPx7e67765yHV26FxERibHYB/pMXKpvLGVkQmPZlrqWof3ZOMvIhMayLY2ljMbQhjiVkQmNZVuilhHb5+jjtl0Affv2Zd48vcgsU7Q/M0/7NLO0PzMvjvvULHh83vUcvYiISP5RoBcREYkxBXoREZEYU6AXERGJMQX6HBJlYASJTvsz87RPM0v7M/PycZ+q172IiEgOU697ERGRPBbbIXBTXZ7RWPciIpLLkse6j0qX7kVERHJYdZfuY3tGLyINq+NVT2W7CZGtuenkbDdBpMEo0IvkgFwKoiLSuNSoM56ZDTez181sk5mtN7MnzOywGqzf3Mwmmtm/zewbM3svLKNvfdUpIiKSzyKf0ZvZZcCt4Z/LgL2AImCImR3n7q9Vs/5uwBtAL+BrYAlQGJZxspmNcPf/l8k6RSQ7GuOlcV0VkXwVKdCbWSEwCdgCHOfuc8L0McA04DagTzXF/IIgyD8HnOHuX4dlnA48AtxuZk+6++YM1ikSO40xiIpI4xX1jP4soBlwdSLgArj7bWZ2MvAjM+vp7kurKOOMcP6rRJAPy3jMzJ4kOFM/FEiUn4k6RUQqnc1n8+xeP9SkoUW9R39WOJ+ZYtnMCnnS6QRsdfdlKZYtD+edM1yniEjeMjPMjFmzZmW7KWl16tSJTp06ZbsZsRb1jL4TsNHd306xLHGfvHOKZcl+AmxPs6xLOP8ww3WKiOStE044AYDCwsIst0SyqdpAb8GT+G2A99NkWR/O962qHHd/uUK5ewJtgZ8CpwMLgVczWaeISCoNffk8W7cKnn766azUK41LlDP61mG+DWmW1zjomtkPgOeTkl4G/svdS+urThERkXyUiZfaNAnnTWuwznrgGWARsBX4T2CimUW9lVBtnX379o08FRcX16DpIiLZN2fOHE499VTat29PixYtOOSQQ7j66qv5+uuyvs4MHjy4bHjUZG+++SZnnHEG7dq1o7CwkDPPPJMPPviAMWPGYGasXbu2LG+nTp0YPHgwpaWlTJo0iQMPPJCCggIOOuggrr/+erZu3Vqp/JdffplTTjmFDh060Lx5c9q3b09RUREvvfRSveyLOCouLo4cw6oTJbCuB3YQPPOeSiJ9XbTmg7svBE4AMLP9gIeAC4A1wI2ZqHPevHlRmyMiklOeeeYZTjrpJEpLSznkkEPo1KkTS5Ys4cYbb+SNN97gueeeSxngAWbOnMlPf/pTtmzZQufOndl333159NFHefXVVznqqKPS1jl69GjuvfdeevTowSGHHMKCBQu49tprWbduHXfeeWdZvhdeeIEhQ4ZQWlpKt27dOProo/nwww958skn+ec//8lzzz3HoEGDMr1LYmf06NEpX86WSrrvOqHaM3oP3g7zOcHl9FQS6ZEDfYXyPwF+Gf45rCHqFBHJZVdffTWlpaWUlJSwdOlSZs2axfvvv8+hhx7KCy+8wPz581Out3nzZi666CIAHn/8cVatWsX8+fN5++23ad68OTNnpnrIKThxevLJJ3n99ddZunQp8+bN4+WXX6Zp06bce++97NixoyzvH//4R0pLS3nggQd45513ePHFF1m5ciXFxcXs2LGD+++/P/M7RKoU9dL9aqClmfVMsax/OH8v3cpm1s/MVprZtDRZEp3uds9UnSIicbV8+XL23HNPhg4dWpa2xx57cPPNN3PNNdew2267pVyvuLiYzz77jEsuuYRTTz21LL1r165MmTIlbX2bNm3illtu4cgjjyxLGzBgAD/84Q/ZunUrH330UVn6AQccwMiRIxkxYkS5Ms455xwA1qxZU5NNlQyIGugfCufDUiw7rUKeVFYABwI/tNTXGI4I54szWKeISCwddNBBfPPNN1xwwQW88847ZeknnHACN9xwA4ceemjK9f79738DVArCAEOHDmXPPfdMuZ6ZccYZZ1RK33ffyv2h77vvPmbMmFEubdu2bTzyyCPpN0jqVdRA/yDwLfA7M+uXSAyHox0CzHX3xelWdvcvCXrW9wB+b2aJznSY2UHA7eGfyWPd16lOEZG4+utf/8oBBxzA3/72N7p3706PHj0YPXo0Tz31FNu3pxuuBN59910AOnbsWGnZLrvsQvv27VOut99++1FQUBC5fStWrOC+++5j7NixDBo0iMLCwpQ/LqRhRAr07r4BuApoDrxuZovN7EOCMee3AGMSec2sjZk9HU5tkoq5ENgMXAd8ZGYvm9liYCnBD4A73f3x2tQpIpJPjjjiCJYvX8706dMZPnw4n3/+OXfffTdDhw6ld+/evPde6ruaqXrIJ2vSpEnK9GbNmkVu229/+1u6d+/Oueeey1NPPUWPHj24/fbbWbpUo5VnS+TH69x9KsF49W8QjGTXAngCOMrd5yZlLSDoUX9C+Dmx/nKgO3AP8CXBC2laEjxPf5K7X1KHOkVE8kqLFi342c9+xiOPPMLnn3/O66+/zsknn8yyZcsYN25cynW6du0KpL9PnvxYXW288sor3HTTTfTq1YulS5eycuVK7rzzTs455xy6d+9ep7Kl9mr0HL27P+ru/dy9hbvv7e6nuvuSCnnWuruF09oKyz509/Pd/eCwjI7ufqK7px2+KUqdIiL5YsWKFfTu3ZsLL7ywLM3M6NevX9mYIG+99VbKdQ877DAAHnqocvemZ599lo0bN9apbXPmBO8fGzVqFIccckjKZdLwMjFgjoiINJB27dqxaNEipk+fXmm8kEcffRSAXr16pVz3kksuoVWrVtxxxx2UlJSUpa9Zs4ZLL720zm1r27YtEAyYU1paWpY+f/58Ro0aBcCXX35Z53qkZqKORCciEhvZfE1tXbVo0YKxY8cyZcoUjjrqKPr27UurVq1YtWoVq1evplWrVowfPz7luoWFhUybNo3zzjuPU045hS5durD33nuzaNEiBg4cyJFHHsmMGTNo0aJFrdp20kknsf/++/P444/ToUMHunbtyscff8w777xDUVERBQUFLF68mD59+vDPf/6TffbZpy67QiKKbaBPNaJQUVERRUVFWWiNiEjmTJo0iW7duvG3v/2NVatWsWXLFtq3b89FF13EuHHj6NKlS9p1zz77bDp06MCkSZN44403+Oabb7j44ou5+eabGTVqFE2aNKF163RjlVWtsLCQF198kauvvprZs2ezcOFC+vbty69//WsuuOACXn31VS688EK+++47dt01tuGnXpWUlJS7GhOFBYPQxYeZOUDctkvyW/IZaEO/eS0OGtMZfGP+/gYOHMiqVav4+OOPs90UqYHE8DTunnIsXP2kEpHYW3PTyfqxBDz88MOMHz+eK664gp///Oflln3yySfMnTuXAQMGZKl1Ul/UGU9EJE8ceuihLF++nFtuuaVcD/utW7cyduxYtm3bVq43v8SDzuhFRPJE9+7dGTduHJMnT6Zr166ceOKJuDuzZ89m9erV9OzZk9NPPz3bzZQMU6AXEckjN998M7179+b222/nqaeeKnud7GmnncbVV19N06ZNs91EyTB1xhPJBRNaZbsF8TKhbgPDiDQm1XXG0z16ERGRGFOgFxERiTHdoxfJNbrsXDu6/SF5Smf0IiIiMaZALyIiEmOxvXSvse5FRCRuNNY9erxOYir5/rLu0deO9qHElB6vExERyWMK9CIiIjEW23v0IiJlKj5al81H7XTbQBqYzuhFRHJMp06d6NSpU7abgZkxePDgbDejUZs1axZmxnXXXZe1NijQi4iIxJgu3YtI/mnoy+calU+ySGf0IiIiMaZALyKSozZv3szll1/OAQccwB577MHRRx/NxIkT2bFjR7l8n3zyCVdccQU9evRgjz32oHXr1vTp04cpU6awbdu2SuWWlpbypz/9iWOPPZZWrVrRqVMnRowYwbvvvlttm7744gsOOeQQzIzi4uJyy958803OOOMM2rVrR2FhIWeeeSYffPABY8aMwcxYu3ZtWd5OnTpx4oknsn37di666CJatWrFr371q7Ll27dvZ+LEiQwcOJBWrVrRtWtX/uu//ov58+dXatPgwYPLnjWv6LrrrsPMmDVrVlnaueeeW5b/8ccf54gjjqBFixa0b9+ec889l48//rhSOevWrePnP/85PXr0oLCwkBNPPJH777+/cYzp4u6xmgAPNkskRq5tuXOSmkvef9nYhxmuu2PHjt6uXTs/5phjHPBu3bp5z549PRwwzAcMGOBbtmxxd/dNmzb5wQcf7IAXFhb6wIED/YgjjvCmTZs64Oedd165srds2eLHH3+8A7777rt7v379vGPHjmV/L1++vCwv4IMGDSr7e+PGjd6nTx8H/E9/+lO5ch977DEvKChwwDt37uy9e/f2Jk2a+P777+/Dhg1zwNesWVNuG4cMGeIjR470XXbZxTt27OjTpk0rq+eoo45ywJs3b+5HHnmkd+jQwQHfbbfd/O9//3u5ugcNGpQ2LkyYMMEBf+mll8rSzjnnHAd8+vTpbmb+ve99z/v37+8tWrRwwHv16uVbt24tyz9//nzfd999HfCWLVv60Ucf7XvttZcD/oMf/MABnzBhQqTvtjaS4l7quJhuQa5OCvQSSwr0dRPDQJ8IKs8991xZ+ltvveWdO3cuF2hnzJjhgBcVFZUFf3f3tWvXetu2bX233XYrF7QmT57sgP/oRz/yr7/+2t3dS0tLfdKkSQ748ccfX5Y3OdBv3rzZ//M//9MBv+6668q1d9OmTd6mTRsvKCjwxx9/vCx9xYoVZe1NFeh33XVX79atmy9YsKBceddcc40DPnjwYF+/fn1Z+iOPPOLNmzf3li1b+hdffFGWXttAv9dee/k999xTlr5u3bqy9r7yyitl6QMGDHDAzz//fN+2bZu7u+/YscPHjBlTtm3ZDPSxvXQ/evToSlNNxwcWEWnMrrnmGn74wx+W/d2jRw/uu+8+AG6++eay9KFDhzJhwgSaN29elta+fXsGDx7Mtm3bWLduHRBcDv/jH/9Is2bNmD59OnvuuScQPEZ35ZVX0q1bN1555RW2bt1arh1bt25l2LBhvPrqq4wbN47x48eXW15cXMxnn33GJZdcwqmnnlqW3rVrV6ZMmZJ2+3bs2MGtt97KYYcdVpa2ZcsWpkyZQrNmzXjggQcoLCwsWzZ8+HAuvvhivv76a26//fbqdl+1Tj/9dH7+85+X/b3ffvtx4YUXArBq1SoAXn75ZWbPns1BBx3EXXfdRdOmTQFo0qQJU6dO5eCDD65zO5KVlJRUim3ViW2v+4r3hkRE4uacc86plDZw4EC6d+/O8uXLWb9+PSNHjmTkyJGV8i1fvrzS/ew1a9awfv16Tj75ZNq0aVNpnX/9619s2rSJXXbZeY64fft2fvKTn/Dss89iZinb9O9//xuAESNGVFo2dOhQ9txzT7755ptKy5o0acKQIUPKpa1atYrNmzczdOhQ2rZtW2mdkSNHMmXKFJYsWVJpWU39+Mc/rpS27777lvt70aJFQPBdJO8XCH4gjRo1it/85jd1bktCqpez3X333VWuE9tALyISZy1btmSfffZJuaxbt24sX76cVatW0bp1azZu3MisWbNYuHAhCxcuZN68eXzwwQeV1lu5ciUAHTp0SFluu3btKqXNnj0bgN69e7NgwQIuu+wynn/++XJ5Ep34OnbsWGn9XXbZhfbt27Ns2bJKy/bZZx+aNGlSLm316tUAaQcMSqQnzrjrIsqgRIltO/DAA1MuT5fekGJ76V5EJM4qBsBkHvb03n333Xnttdc48MADOfXUU5k8eTIAY8aM4aWXXqp0xpq4JJ+4/BzVFVdcwezZs+nYsSMvvPACjz32WMpya7otybcaEhLbVl1Z27dvrzJfQqqnDhKaNWtW7fq77bYbQNpe/VV9Tw1FgV5EJAdt2LCBL7/8MuWyFStWYGZ07tyZs88+m6+++ooHH3yQL774gscee4wrrriCY489tixIJSTOPpMfc0v27rvvMmvWLDZu3DngUJ8+fbj55pspKCjgz3/+MwCXX345W7ZsKcvTtWtXILg1kEq6+lLp0qULAO+9917K5Ykz/kSd1UnXpqgSZ/2JqyEVZeLKQl0p0IuI5KhEx7tks2bN4p133qFnz55s3ryZVatWcfDBB3PWWWeVC+ylpaXMnTu33LpdunShoKCA559/PuWPiHPPPZdBgwaVC+KJDnsAw4YN4/jjj2ft2rVMmjSpLD3Rme6hhx6qVOazzz5b7odDdbp06cLuu+/O888/zyeffFJp+fTp0wHo1atXpWUVt2nLli3861//ilx3Kt///veB4LsoLS2ttHzGjBl1Kj8TFOhFRHLU9ddfz4svvlj297Jlyzj33HMBGD9+PHvvvTfNmjVj9erV5c6aN2zYwPnnn8+KFSuAnQFw9913Z+zYsWzatIlRo0axadOmsnXuv/9+Xn31Vfr27ct+++2Xtk3Tpk2jadOm3HzzzWV1XnLJJbRq1Yo77rij3NNPa9as4dJLL63RNhcUFDB27Fi+/fZbRo4cyVdffVW27OGHH+bOO++kZcuW/PKXvyxLT/QNuO2228rSduzYwaWXXspnn31Wo/orGjBgAAMHDuSdd97hoosuKrtlUFpaypVXXsnChQvrVH4mqDOeiOSfGIw9P2DAAD777DOOO+44unfvTtOmTVm2bBmlpaWMHDmS4cOHl/WCv+uuu+jRowd9+vRh27ZtLF26lL322ouzzz6b6dOnc9JJJzF58mR++tOfctVVV/H888/z5JNP0rZtW3r16sWXX37J8uXLKSgo4J577qmyXd27d+eyyy5j8uTJXH755Tz66KMUFhYybdo0zjvvPE455RS6dOnC3nvvzaJFixg4cCBHHnkkM2bMoEWLFpG2/corr+T555/nhRdeYP/996dXr1588sknrF27lt12242pU6eW66h47rnnMn36dCZMmEBJSQkdOnTgzTffZP369fz2t7/lD3/4Q52+i6lTp3LiiSdy99138z//8z8cfPDBrFixgvXr1/PLX/4yI4/61YXO6EVEctDee+/Na6+9xvnnn8+GDRtYs2YNxxxzDHfeeSczZswo6xw2depUbrjhBtq3b8/8+fPZvn07559/PosXL+auu+7i9NNPB3Z2wGvZsiWzZ89mwoQJ9OzZk8WLF7Nt2zZGjBjB0qVLU14Sr2j8+PG0bduWxx57rKwH/tlnn83zzz/PiSeeyIYNG3j//fe5+OKL+d///V+2bdtGkyZNaN26daRtb9WqFa+++irXX389vXv35u2332bXXXdl+PDhzJkzp9IjfscccwxPPfUU/fv3Z+XKlbzwwgv07NmTOXPm0Lt376i7PK3EEwfnnHMObdu2ZcGCBey3334UFxdzww031Ln8urLqejDmmnAIyGp7ZorklOQz0IZ+81ocNKYzeH1/lQwcOJBVq1alHENeqpf4UefuKbv+69K9iMTfhI36sZRFDz/8MOPHj+eKK64oN9IcBC/cmTt3LgMGDMhS6+JPl+5FRKReHXrooSxfvpxbbrmlXA/7rVu3MnbsWLZt21Y2tKxkXmzP6FON/5tq6EAREalf3bt3Z9y4cUyePJmuXbty4okn4u7Mnj2b1atX07Nnz7K+AlK1kpKSGr+3RffoRXKBLjvXnfZhVrk7Dz30ELfffjsrVqygtLSUbt26MWDAAK6++upyL6eRmtE9ehERyTozY8SIESlfbCP1S/foRUREYkyBXkREJMZqdOnezIYD44BDga3AbGC8uy+sQRkjgAuA7kBTYBEw3d3vT5H3euCIKoob5+6V320oIiIiQA0CvZldBtwa/rkM2AsoAoaY2XHu/lqEMu4Gzge2A28BpcBA4DgzOxUY7uV70Q0DelZR5MSo7RcREclHkS7dm1khMAnYAhzt7j3d/QDgUqAZcFtV64dl9CMI8u8D33f3w9z9cOBgYAlBUB+dlN+ALsAid7c00+waba2IiEieiXqP/iyCgD7R3eckEt39NuAZ4HAzq+rMG+CccH6du7+dVMa7wKjwz7OT8rcFCoB3I7ZRREREKqhJoAeYmWLZzAp50ukczl+quMDdFwAbgOS3JRwYzldGa6KIiIhUFPUefSdgY/KZeJLEvfnOKZYlmwOsBT6quMDMmgN7AOuTkhOBfq2ZjQb6A00IOu897O5rERERkSpVG+jDe+VtCO6tp5IIzvtWVY67j69i8W8IeuC/nJTWJZxPBpJfUjwSGG9mv3D3GVXVKSIiku+inNG3DvNtSLM8UqBPJfwRMRH4HcHjejcmLU6c0a8Hfgy8TtDTfyTwe+AeM3vT3d9KVXbfvn0jt2P06NEpx8YXERHJhuLiYoqLizNSViaGwG0SzpvWZCUz6wPcDvQDtgGj3H1RUpYngPnADHdPvKR4A3CDmX0H/AG4FjgzVfnz5s2rSXNEREQajZqcgCbGuk8nSqBfD+wA0r1xIJG+LmKDmgE3AL8m6Ay4hCDIL0jO5+4PVFHMXwgCfe8odYqIiOSragO9u7uZfU5wCT+VRHq1gd7M2gH/JBgEZz3BJfhid/8uWnPL2vSVmX0BtK/JeiIiIvkm6uN1q4GWaZ6V7x/O36uqADPbE3iKIMi/AfRy9ztTBXkz28fMRpnZcWnK2hVoBayK2H4REZG8FDXQPxTOh6VYdlqFPOlcCnwfeAw4Num+eyqbgDuAh82sIMXyHxD0CVhYTZ0iIiJ5LWqgfxD4FvhdOJQtAGY2BhgCzHX3xdWUcQHwHXCRu2+tKqO7bwEeJbj/f6+Z7ZFU52EE9+i3U76XvoiIiFQQqde9u28ws6sIXmrzupktIQjC7QjGvx+TyGtmbYDEm+hGuftnZtYa6EDwY2F6FT0EN7j7iPDzWGAAQa/6IWa2jKA/QDfAgV/rzXUiIiJVi/x4nbtPNbMPgSsIXlO7jeARuGvcfUlS1gLghKTPAB3DefOkZal8klTfBjM7ErgSOAU4PFz+D+Amd/931LaLiIjkqxo9R+/ujxJcUq8qz1rAKqS9WTEtYn1fAleFk4iIiNRQ1Hv0IiIikoMyMTJeo5RqRKGioiKKioqy0BoREZG6KykpoaSkpEbrmLvXU3Oyw8wcIG7bJXluQqukzxuz145cpn0oMZXo4O7uKW+R69K9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYxroXERHJERrrHo11LzGlcdrrTvtQYkpj3YuIiOQxBXoREZEYU6AXERGJMQV6ERGRGFOgFxERiTEFehERkRhToBcREYkxBXoREZEYU6AXERGJMQV6ERGRGNNY9yIiIjlCY92jse4lpjROe91pH0pMaax7ERGRPKZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjGuteREQkR2isezTWvcSUxmmvO+1DiSmNdS8iIpLHFOhFRERiTIFeREQkxmoU6M1suJm9bmabzGy9mT1hZofVsIwRZvaima0zsy/M7AUzG1WfdYqIiOSryIHezC4DHgH6AWuALUARMMfM+kcs427gAWAA8CnwPjAQuM/MHrNEj4IM1ikiIpLPIgV6MysEJhEE2qPdvae7HwBcCjQDbotQRj/gfILg/n13P8zdDwcOBpYAw4DRSfnrXKeIiEi+i3pGfxZBcJ3o7nMSie5+G/AMcLiZ9aymjHPC+XXu/nZSGe8CiUv3Z2e4ThERkbxWk0APMDPFspkV8qTTOZy/VHGBuy8ANgC9MlyniIhIXos6Ml4nYGPymXiS18J55xTLks0B1gIfVVxgZs2BPYD1Ga5TREQkr1Ub6MMOcm0I7q2nkgjO+1ZVjruPr2Lxb4CmwMuZrFNERCTfRTmjbx3m25Bmea2DbhjQJwK/A7YCN2aqzr59+0Zux+jRo1OOjS8iIpINxcXFFBcXZ6SsTLzUpkk4b1qTlcysD3A7waNz24BR7r4oU3XOmzevJs0RERFpNGpyAlrhyfRKonTGWw/sAArTLE+kr4vYoGZmdjMwlyDILwH6ufv/q686RURE8lW1Z/Tu7mb2OcHl9FQS6dUGXTNrB/wT6EkQzH8PFLv7d/VVp4iISD6L+njdaqBlmufWEyPUvVdVAWa2J/AUQZB/A+jl7ndWDPKZrFNERCTfRQ30D4XzYSmWnVYhTzqXAt8HHgOOdfePG6BOERGRvBY10D8IfAv8LhzKFgAzGwMMAea6++JqyrgA+A64yN23NlCdIiIieS1Sr3t332BmVwG3Aq+b2RKCDnHtCMaiH5PIa2ZtgPvDP0e5+2dm1hroQBC4p1fRQ3CDu4+oaZ0iIiKSWuTH69x9qpl9CFwBHErwSNwTwDXuviQpawFwQtJngI7hvHnSslQ+qWWdIiIikkKNnqN390eBR6vJsxawCmlvVkzLZJ0iIiKSWuT30YuIiEjuycTIeI1SqhGFioqKKCoqykJrRERE6q6kpISSkpIarWPuXk/NyQ4zc4C4bZfkuQmtkj5vzF47cpn2ocRUooO7u6e8Ra5L9yIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYxrrXkREJEdorHs01r3ElMZprzvtQ4kpjXUvIiKSxxToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMY92LiIjkCI11j8a6l5jSOO11p30oMaWx7kVERPKYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjGmsexERkRyhse7RWPcSUxqnve60DyWmNNa9iIhIHlOgFxERiTEFehERkRirUWc8MxsOjAMOBbYCs4Hx7r6wphVbcFPhQ+Dv7v77NHmuB46oophx7r6spnWLiIjki8iB3swuA24N/1wG7AUUAUPM7Dh3f62GdZ8E7F9NnmFAzyqWT6xhnSIiInkl0qV7MysEJgFbgKPdvae7HwBcCjQDbotaoZntaWYjgb9Xk8+ALsAid7c00+yo9YqIiOSjqPfozyII6BPdfU4i0d1vA54BDjezqs68ATCzh4GNwAygTTXZ2wIFwLsR2ygiIiIV1CTQA8xMsWxmhTxVeQ24C/gr8GI1eQ8M5ysjlCsiIiIpRL1H3wnY6O5vp1iWuDffubpC3H1K4rOZjQIGV5E9EejXmtlooD/QBFgEPOzua6M0XEREJJ9VG+jDe+VtgPfTZFkfzvfNVKNCXcL5ZKBFUvpIYLyZ/cLdZ2S4ThERkViJckbfOsy3Ic3y+gr0iTP69cCPgdcJevqPBH4P3GNmb7r7W6lW7tu3b+SKRo8enXJsfBERkWwoLi6muLg4I2Vl4qU2TcJ50wyUlewJYD4ww90/DtM2ADeY2XfAH4BrgTNTrTxv3rwMN0dERKRh1OQENDHWfTpRAv16YAdQmGZ5In1dpBZF5O4PVLH4LwSBvncm6xQREYmbanvde/AauM8JLuGnkkjPaKCvirt/BXwBtG+oOkVERHJR1MfrVgMt0zwr3z+cv5eZJoGZ7WNmo8zsuDTLdwVaAasyVaeIiEgcRQ30D4XzYSmWnVYhTyZsAu4AHjazghTLf0DQJ2BhBusUERGJnaiB/kHgW+B3ZtYvkWhmY4AhwFx3X5ypRrn7FuBRgvv/95rZHkl1HkZwj347cGOm6hQREYmjSIHe3TcAVwHNgdfNbLGZfQhMIxj/fkwir5m1MbOnw6m6YW6rMpbg0vyZwPtm9oqZvQXMI7g3rzfXiYiIVCPy++jdfSpwBvAGwWA2LQgegTvK3ecmZS0ATginVJfdo9a3ATiS4GU6nwCHE4y3/w+gv7tPq23ZIiIi+cKCTvXxYWYOELftkjw3oVXS543Za0cu0z6UmEo8R+/uKR+oj3xGLyIiIrknEyPjNUqpRhQqKiqiqKgoC60RERGpu5KSEkpKSmq0ji7di+QCXXauO+1DiSlduhcREcljCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjEW2+foRUTSSn7UrrHSI4CSIQr0IpAb//GLiNSCLt2LiIjEmM7oRSQvdPz2wbLPa246OYstqYKuLEk9iG2g11j3UmuN8N5ox6ueKvu8JnvNEJEsq81Y97EN9MXFxdlugoiISEalOmG9++67q1xH9+hFRERiTIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxhToRUREYkyBXkREJMZiOwSuxroXEZG40Vj3STTWvYiIxI3GuhcREZFyFOhFRERiTIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiLLYD5oiIpNPxqqey3YSU1jTPdgskjnRGLyIiEmOxPaPXWPdSW431bE9EpDZj3Zu711NzssPMHCBu2yX1bEKrso8dv30wiw2p3pqbTs52E6S+JB2HTNiYvXZITjEzANzdUi3XpXsREZEYi+2le5Ha0hmziMSJzuhFRERirEaB3syGm9nrZrbJzNab2RNmdlhtKrbAR2Z2Q0PVKSIikm8iB3ozuwx4BOgHrAG2AEXAHDPrX4u6TwL2b+A6RURE8kqkQG9mhcAkgkB7tLv3dPcDgEuBZsBtUSs0sz3NbCTw94aqU0REJF9FPaM/iyC4TnT3OYlEd78NeAY43Mx6VleImT0MbARmAG0aok4REZF8VpNADzAzxbKZFfJU5TXgLuCvwIsNVKeIiEjeivp4XSdgo7u/nWLZa+G8c3WFuPuUxGczGwUMru86RURE8lm1Z/QWDLnTBlifJksifd9MNSobdYqIiMRRlDP61mG+DWmW10fQrXOdffv2jVzZ6NGjU46NLyIikg3FxcUUFxdnpKxMjIzXJJw3zUBZGatz3rx5DdQUERGRzKrJCWhirPt0onTGWw/sAArTLE+kr4vUomiyUaeIiEjsVBvoPXgN3OcEl9NTSaRnLOhmo04REZE4ivp43WqgZZrn1hMj1L2XmSZltU4REZFYiRroHwrnw1IsO61CnkzJRp0iIiKxEjXQPwh8C/zOzPolEs1sDDAEmOvuizPctmzUKSIiEiuRAr27bwCuApoDr5vZYjP7EJhGMBb9mEReM2tjZk+HU3XD3GakThEREUkt8tvr3H0qcAbwBtAFaAE8ARzl7nOTshYAJ4RTQV0aV4M6RUREJIUaPUfv7o8Cj1aTZy1Q9UN9Qb77gfszUaeIiIikFvmMXkRERHKPAr2IiEiMZWII3EYp1dCBRUVFFBUVZaE1IiIidVdSUkJJSUmN1rFgELr4MDMHiNt2ST2b0Crp88bstUPym45DqYXEWPfunrJ/nC7di4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYhsAVERHJERoCFw2BK7WkoUelMdBxKLWgIXBFRETymAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIxprHsREZEcobHu0Vj3UksaY1waAx2HUgsa615ERCSPKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJjGuhcREckRGusejXUvtaQxxqUx0HEotaCx7kVERPKYAr2IiEiMKdCLiIjEWI0645nZcGAccCiwFZgNjHf3hfVRhpldDxxRRXHj3H1Z1LpFRETyTeRAb2aXAbeGfy4D9gKKgCFmdpy7v1YPZQwDelZR5MSIzRcREclLkS7dm1khMAnYAhzt7j3d/QDgUqAZcFumy7CgG2EXYJG7W5ppdvRNFRERyT9R79GfRRCMJ7r7nESiu98GPAMcbmZVnXnXpoy2QAHwbsQ2ioiISAU1CfQAM1Msm1khT6bKODCcr6y2dSIiIpJS1Hv0nYCN7v52imWJ++qdM1xGItCvNbPRQH+gCbAIeNjd10ZquYiISB6rNtCH98rbAO+nybI+nO+b4TK6hPPJQIuk9JHAeDP7hbvPqKLpIiIieS/KGX3rMN+GNMurDfS1LOPApGU/Bl4n6KU/Evg9cI+Zvenub6UqsG/fvlU0p7zRo0enHBtfREQkG4qLiykuLs5IWZl4qU2TcN40w2U8AcwHZrj7x2HaBuAGM/sO+ANwLXBmqgLnzZtXh+aIiIhkT01OQBNj3acTJdCvB3YAhWmWJ9LXZbIMd3+givL+QhDoe1eRR0REJO9V2+veg9fAfU5w+T2VRHraQJ+JMiqU9xXwBdA+Sn4REZF8FfXxutVAyzTPyvcP5+9lqgwz28fMRpnZcakKMrNdgVbAqmpbLiIikseiBvqHwvmwFMtOq5AnE2VsAu4AHjazghT5f0BwP39hNXWKiIjktaiB/kHgW+B3ZtYvkWhmY4AhwFx3X5ypMtx9C/Aowb37e81sj6T8hxHco98O3Bix/SIiInkpUqB39w3AVUBz4HUzW2xmHwLTCMauH5PIa2ZtzOzpcGpTmzJCYwkuzZ8JvG9mr5jZW8A8gnvzenOdiIhINSK/j97dpwJnAG8QDGbTguARuKPcfW5S1gLghHAqqGUZiR8GRxK8COcT4HCCsfL/AfR392mRt1JERCRPWdAhPj7MzAHitl1Szya0Svq8MXvtkPym41BqIfEcvbunfKA+8hm9iIiI5B4FehERkRjLxBC4jVKqoQOLioooKirKQmtERETqrqSkhJKSkhqto3v0IqB7o9I46DiUWtA9ehERkTymQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpiFwRUREcoSGwEVD4EotaehRaQx0HEotaAhcERGRPKZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjGuteREQkR2isezTWvdSSxhiXxkDHodSCxroXERHJYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmse5zSHFxccrtktrR/sw87dPM0v7MvFzfpxrrnniPdd+3b1/mzZuX7WbERrn9qTHGM0LHaB1VOA61PzMvjvtUY92LiIjkMQV6ERGRGFOgFxERibEaBXozG25mr5vZJjNbb2ZPmNlh9VlGJuoUERHJV5EDvZldBjwC9APWAFuAImCOmfWvjzIyUWdNeyc25jIyobFsS13L0P5snGVkQmPZlsZSRmNoQ5zKyITGsi1Ry4gU6M2sEJhEEGiPdvee7n4AcCnQDLgt02Vkok7IvS+kvjWWbVGgj2cZmdBYtqWxlNEY2hCnMjKhsWxLRgM9cBZBcJ3o7nMSie5+G/AMcLiZ9cxwGZmoU0REJK/VJNADzEyxbGaFPJkqIxN1ioiI5LWogb4TsNHd306x7LVw3jnDZWSiThERkbxW7ch4Fgy5sw143927pFi+P/AR8KK7H5eJMupSZ2JkPBERkXxSl5HxWhOMib8hzfL14XzfDJaRiTpFRETyXiZeatMknDdtwDLS5k/3i0ZERCQfRTmjXw/sAArTLE+kr8tgGZmoU0REJO9VG+g9uIn/OcHl9FQS6WmDbk3LyESdIiIiEr3X/WqgZZrn1hMj1L2X4TIyUaeIiEheixroHwrnw1IsO61CnkyVkYk6RURE8lq1j9cBmNnewMfhn4MTI9WZ2RhgGjDX3Y/KZBmZqFNERCTfRQr0UPaCmVvDP5cQdIhrRzAW/SB3nxvmawPcH+Yb5e6f1bSM2ubPVWb2C2BoFVlucfd/RSxrEPB7oG+YNA/4Q9T148TMhgDjgO5AS4Jj6DFgmrt/F7GMjH03ucrMhhPsx0OBrcBsYLy7L2zIMuLCzEYAFxAcl02BRcB0d7+/yhV3rn89cEQVWca5+7I6NzRHZGp/xPoYdffIEzAcmANsJnjG/R/AoRXydAA8nDrUpoy65M/FCShJ2meppp9GLOd04LtwnZXh5GHaGdnezgbep1cnbfsy4A2CH4geHk/NGvK7ydUJuCxpW5cCH4afvwX6N1QZcZmAu8Nt3wYsBOaHn53gR6hFKGNJNcfkgGxvZwPv0zrvj7gfo1lvgCYHeJtguN+6lNGE4FbHd8CwpPTTwrRPgV2zva0NtD87hv9Av0r+R04wwNKL4T/gPzbUd5OrE8EVtG+B/wP6JaWPCffhmw1RRlwmgtdtO7AW6JGUfiCwOFx2YTVlWLgvF2Z7exrDlIn9kQ/HaOT30Uv9MLNdCMb1X1nHok4A2gL3uHvZi4Dc/XGCs4g2YZ588BOCNx9Oc/fZiUR3/zRctg04u7pCMvjd5KpsvLUyzs4J59d50js83P1dYFT4Z3XHZVugAHg3463LTZnYH7E/RhXos+8AgoOsrsFEb/vbKfGyo5cqLgiD/VvA/mb2H9WUk6nvJldl462VcVbVcbmA4NZkr2rKODCc5+sxWVEm9kfsj9FMDIErdZM4UFeZ2VnAccCeBJfy/uHRO9V0Cuevp1iWb2/7Wwr8DXgnzfJCgktym6spJ1PfTa7Kxlsr42wOwWX7jyouMLPmwB7sfI9HOoljcq2ZjSYYU6QJQYe+h919beaamxMysT/if4xm+95Bvk8EvW8d2ETlTiRbgSsjlrOKYNjglJ15wrJWZ3t7sz0RXCJ14I2G+m5ycSK497kdWJVm+f7hfvhXfZaRLxNwbbgv/l81+f5QxTH5NfCzbG9LA++3Ou2PfDlGdek++xK/SLcRXB7aF/ge8MswbZKZHR+hnH2Brzw8OlP4kjx/25+ZXQz8neAf7oQIq2Tqu8lF2XhrZd6xwB8IjsetwI3VrJI4JtcDJxNcneoMjAeaA/eY2cH109pGqa77Iy+OUV26z75XCILwE17+0tEdZrYBeACYCDxXx3qakKfft5kdCEwFTiII8uPc/ekIqzbUd5OLsvHWylgxsz7A7QS98bcRjDuyqJrVniB4JG+GuycGFNsA3GBm3xGc4V4LnFk/rW506nt/xOIYjTxgjtSemaUKKqM8aTChNOsZQaBpDuzhVQzyYmarCB4r2zXVWb2ZbQc+dvcONWl7YxVln4a95i8nCMbNCO6PnufuL2Sg/sjfTS4Kt28b8IG7V7o/aWYHAB8AL7v7sfVVRhyZWTPgBuDXBB2ilxAcuwvqWO5eBEFupbt3q2s7c12U/ZEvx2henuFlQarH2gqqW8nd3czeJRjlbh/gkyqyf0pwyWovKlyGMrNWBN91nN72V+U+NbM9CQa7OZag091EYLK7f5uJymv43eSccPvq/NbKupYRN2bWDvgn0JPgsvDvgeJM/FB096/M7AugfV3LioMo+yNfjlHdo28A7m4pprVmVmBmo8zslCpW/w+CQPVpNdWsDucDUiyL3dv+0u1TADPbFXiUIMivAI5w94k1CfIZ/m5yVTbeWhlb4Y/PpwiC/BtAL3e/M2qQN7N9wmPyuDTLdwVaEXTMjb0M7o/YH6MK9Fnk7lsIOo08Zmb7V1xuZj0Ifo0uqqKTXUKUt/09WMum5pozgeMJHo050lM/NlOlDH83uSobb62Ms0uB7xMMdXts0j3lqDYBdwAPm1mqK4I/ILiXvLAujcwhmdof8T9Gs93tP98n4DqCDmIvAf+RlN6J4IU0DhwfoZwmBM/nlpJ6CNyPgCbZ3t4G2qcvhfutd2P4bnJ1AvYmeD/AFlIPDRrlEcU6lxGXCVhD8AjsPnUo4/5wv/03Qd+QRPphBGeu24BDsr2tDbhP67w/8uEYVWe8LDOz3YBZBD1vNxMMxtIC6EHwa3Syu19RYZ1ER7Qr3X1JUvow4BGCKzUrCZ4RPZAg+J/u7v+o361pHMzsa4KBbZ4h+Ieazinuvj1cp9I+rc13EzfZeGtlHJlZa+ALgjHVX6oi6wZ3H5Fuf4av7/430IWgL84ygvvI3QiO9V+7+7R62YhGqCb7I6+P0Wz/0tDkALsDVxGM5vQ1QS/PEuBHafInBoQ4NsWyQcC/wnK+Bl4Ajsn2NjbgvmydtH+qm5olrZdyn9b0u4njRBbeWhm3CegT8ZhcV93+JAhCNxEM5byZ4Mz1UYK+KFnf1izs20j7I5+PUZ3Ri4iIxJg644mIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjP1/muIZnoUVxd4AAAAASUVORK5CYII=\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAHDCAYAAADMYNgsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAABFg0lEQVR4nO3deZwU1bn/8c8jKiAKOkQUJayCoEhAUBEuEdwixnHDGyMhokYnakSJQWM0QVRixOA1iMY4xBuFn3pzFVFGYkxwQUUWAQFFCZvghhsiBi6rPL8/qnrsmemeqZ7pmZ6p/r5fr35VT9Wpc05VNzxdVaeeMndHRERE4mmPXHdAREREao8CvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQS4NiZieYmYev4Q2l7gz78ZekfqR77Taz983seTO7z8yOi1JfXW5HppK27S+57ktdyNX3zcyamdkgMxtmZpeZ2ZlmdnBdtS91T4FeJCIzG25mN5vZNbnuC2BAG+BE4Epgrpk9YGZ71kpjZX981NtAbGbtws/oZjP7Tobr3hJu3y9rq3+1IfzBkNjmFpWU+5aZTQK+AF4ApgDFwNPAejObaWbH1k2vpS7Vyn8KIjF1ETAQWAtMqKM2JwArU8zfB+gMnAx0COcVAVuAa+uma/VSe2BM+H4tsCSDdYdmuS91ZSDfbPNDwKbyBcysDfAKwf5J5yTgVTP7qbvX2x9zkjkFepH6bZq7z0q30MwaA7cB14WzrjazP7r7qjrpXUyY2RXAYbnuRy2azDdB/hOC78ts4HOgO/Azgh86ewHFZrbC3WfnoJ9SC3TqXqQBc/ftwC8JjtYAGgHn1kI7F7u7ha+Ls11/rpjZt83sd8Afct2X2mJmfYFB4Z9fAN9x9ynuvsbdv3L319z9R8DPwzJ7Ar/PRV+ldijQizRwHjyw4omkWUfnqi8NQXit+h9m9iHwHnADsHeOu1Wbzkp6P87dP0lTbgIwL3x/vJm1q91uSV1RoJd6xcz6mNmfzWyNmW01s0/N7CUz+4mZRfq+mlkPM7vXzN4xs3+b2QYzW2Bmd5tZxqdnk0asDwxntU8amHZzivItzOy6sN+rwu34xMwWmdnk8Agr21Ynvd+/soJmtkc42vpVM/s83EdvhKP3W6dZZ3jSNp+QzY5X0s9DzOwuM1thZv9nZh+Z2SwzKzKzRuXK3hx+Ri8lzX4ozd0GzYBTgENqdwsyF37//194R8U2M1ttZs+Y2Ukpyr4YbtuYpNlrw21+MWlen6T3f03XdviDcWbSrKOquRlSz+gavdQbZnY7wWno5IDeBDghfF0IjK9kfQPuAEZR8UdsAdAbuMbMbnX3MdnreZk+nEkwmrl5uUVNgFZAL+DHZvagu1+axaY7Jr1fU0n/9gGmAaeWW9QzfA03sxPdfX4W+5YxMzueYDT4gUmzmwKtge8S9HOgu++sRvWfAeeVm3ckcEt1+potZnY5MJGy/y93DF/fN7Px7n5dypUr1yqc/h/BGYzKJB/tN6lGW1IPKdBLvRAeGf8qadZiguvOXwD9CI6mv8s3I8xTuQe4Kny/DXgGeAtoTBDkTyG4Le1mM2vh7j9PWUtFiTqvIRjp/gUwOpxXGhDN7FDgUYIjRoC3gb8BHxMcZfchCLB7AD8xs7nu/ueIfUgr/IEzJGlWZSPNHwn78AHwT+BfBNs0lCCQNgMeNbOu7r6rpn2rpk5ACdASeA14leBugoF8c625H/BrIHFG5W8EA8s6E3xOAP8PmFu+cnf/P2Bq8jwz+zybG1AN5wBnAjuBGQTfq2YEp90PD8uMMrNn3f2F8O8JBJdsTg9fEOyPDcCHSXX/keD794VX/Vzy5FsSNaAzLtxdL71y+gKOIPgPzoGvgV+mKDOQIMB60mt40vJTkubPBjqkqKM/wS1XDuwGjiu3/IRUdSctfzFc9m6a7bgsaf17AUtR5nth2w48maaevyTVc0IV+25vYFxS+c1Au0rqc4Ij5f3KlelUbv8eVW758Kh9qsH3ILmP24HLUpT5eVKZhSmWV/oZVtJ28noVvn+1tL0nlNvmj4C+5crsSRDME2XuSlHPzUnL29WgP20Ijvqd4MdCk7rYD3rV/ktH9FIfXM03Z5f+y93HlS/g7i9ZkD1sepo6EmcDPgHO9RQDjtx9tpmdT3CEuCfBZYJsjlDvGU53Ar/y8H/Pcn14zsyWEdzSFOUa6Dlm1j3F/KYEt4OdQtnT9je5+7pK6vsA+IEHo/WT+7XazO4CxoazugNvRuhfbfmDu08qP9Pd7zazKwm2PdV+ach+4u5lzkC4+y4LEjQlztjUyjabWUuCM2BNw1kT3H1bbbQldU+BXuqDwnD6f1R+W88zBMGnTIA0s1Z8c0r34VRBPsHd55nZLILkICeYmaUKyNV0P/C/wDZ3/3cl5TaH0yj//qJm4dtFsO8mVlFuXPkgn+SNpPe5HIW+ncq/B28QBPo4jZRf6O7Pplrg7h+a2WcE4xWyvs1mNhj4M98MTlwM/Fe225HcUaCXnDKzQ/jmP5jX3P3TdGXd3c1sOhWPhI9Pet/SzH5WRbOJEdsFBKcr38+gy2m5+1uVLTezZgTXUntloz2CcQjLCK7J3+vub1RRHoJr3ulsyUqvam6Fu1d2zby+9DObKvtcINjmA6sokxEz60owuPX7SbNXAYPdfXPqtaQhUqCXXDso6X3a0eJJ3k0x79tJ73+SYfv7ZVg+EjP7NsHguy4EA8S6hX9nekQ20CvJjFcNq6suknMNoY/ZVmfbHGZTvJUgVXJyDPgLcE0VZ6OkAVKgl1zbJ+n9+gjlP0wxL+2DPCIofxtcjZhZIcF/oj3TFFlJ0N9WaZbXKnevkAe9Hvoy1x3IgS/rohEz6w08THA7YcJbwC/c/R910Qepewr0kmtfJb1PmaylnFSP00w+lXt6umudtc3MRgJ3J816kyDT2BKC29iWu/v7YTKTnAR6yV9m9iOCh94k/t//FPgN8KC7f52rfkntU6CXXPso6X3HtKW+keo++uTBd12AOg/04ViDxN0CHxGM/J+Xrnjd9EokYGbfIzg1n/g//zHgKnf/Ine9krqiQC855e4bzOxdggDez8xaVTYgDxicYl5yFrc+KZaXYWY/JTgz8LG7P5BRh9M7jW+uv/+qkiAPwY8RkToR3pXyBMGT6RwY6e735LZXUpeU617qg6fD6T4E97anZGanAseUn+/uqwlGnwNcYGY9KqmjB8FtcGOoPMtepgqS3qf9oRIeWUW5RCGSLZcC+4bvxyrI5x8FeqkP/kiQZAZgpJlVCPZm1o8gh3w6ifuuGwH/Y2bfKV/AzNoSpD41gux0D1ezvwekeMDO20nvL0i1UjhQ7/Fy9cTpXvD65lu57kAOlNnmMD3y5eGfXwK/resOSe7p1L3knLuvNLMxBP8J7QHcYWY/JMhg9xlwLHAyQc76fxKkDt27XB0Pm9m5BPnCuwHzzexZgoFw2wlGGQ8J64BglPE7GXY1kSmsBXCnmc0DVrv7ImBO2NcDgQvN7HDgOeDfQNuwzz0ITp1+QHD/fgtgmpk97e7FGfZFUkvO5naxmX0B7HL3yn4kNnTJ23yzmT0KbAoHpR7KN7effgJcGsT+SJ6oLPmUNBwK9FIvuPvt4ZPVfkUQ7HtS8Ra12cAPSH8b3g8IRhX/kOCHwFmUfRY3BEH/dnf/QzW6+QrBtXiAX4TTMcAid99oZj8muAzRGDgufCX7ErgC2ETwEBYIEugcASjQZ8cyYCNwAMGPu/8O58c50L+a9L4wfL1EMCg1+fLU4QTPYIhqAWUHukoDpVP3Um+4+68JrsE/SJAYZxtBcJxP8AS5ge7+ZSXrb3f3CwgegPNwWMdWgiPt2QRPt+vs7rdWs4u/J8gk9gHBD4b3CZ5Ml2j/OYKBdsUEZxI2EwSd+QRPWuvk7v8THmldEdazgeA/VMmCMKNbIUHw+zfBj6q3K12pgXP32QSJot4h+DfzKd8kn4pyJ4vEnGUvzbeIiIjUNzqiFxERiTEFehERkRhToBcREYkxjboXkYyZ2THA5CxVd6+735elumpN+Pjjq7JU3YXu/nqW6hKpVOwG45lZvDZIREQkAndPmSRBp+5FRERiLLaB3t1xdy677LLS99V91Zc6evfuXS/6UR/q0P6sn3Von2a3Du3P7NcRx31aldgGehEREVGgFxERiTUFehERkRhToBcREYmx2Af6wsLC2NSRDfVlW2pah/Zn/awjG+rLttSXOupDH+JURzbUl22JWkds76OP23YB9OnThwUL9KCzbNH+zD7t0+zS/sy+OO5Ts+D2edd99CIiIvkntilwi4qKKswrLCysN6d+REREMlVSUkJJSUlG68Q20BcXF+e6CyIiIlmV6oB10qRJla6jU/ciIiIxpkDfgKS6HCHVp/2Zfdqn2aX9mX35uE816l5ERKQB06h7ERGRPKZALyIiEmMK9CIiIjEW29vrROKk/Q0zct2FjKy94/u57oKIhHRELyIiEmOxPaJXZjyR3KnvZyB0xkEaqupkxtPtdSINQHLgrK9Bqr4H92T1dR+KVIdurxMREcljsT11LyJ1qz4fJZc/25DLsw/1eT9JPOmIXkQkpswMM2PWrFm57kpaHTp0oEOHDrnuRqzpiF5EJKZOO+00AAoKCnLcE8klBXoRyTt1ffo8V5cKnn322Zy0K/WLTt2LiIjEmAK9iEgDNHfuXM466yzatm1Ls2bNOPLII7npppv46quvSssMGjSo9NarZAsXLuS8887j0EMPpaCggPPPP5/333+fESNGYGasW7eutGyHDh0YNGgQu3fvZty4cRx22GE0bdqUww8/nFtvvZXt27dXqP/ll1/mzDPPpF27djRp0oS2bdtSWFjISy+9VCv7QiqnQC8i0sA899xz9O/fn+nTp9O8eXP69OnD+vXruf322zn33HMrzSMybdo0BgwYwNSpU2nSpAnt27dn6tSp9O3blw8//DDtekVFRdx44400adKEI488klWrVnHzzTczcuTIMuWef/55Bg0aRElJCU2aNOH444+ncePGPPPMM5xyyikK9jkQ22v0yownInF10003sXv3bkpKSjjjjDMA2Lx5M/369eP5559n0aJF9O7du8J6W7Zs4fLLLwfgqaee4qyzzgJg5cqVnHbaaUybNi1lewsWLOCdd95hzpw5HHvssQDMnj2bQYMG8Ze//IWJEyey555BOPnd737H7t27eeSRRxg6dGhpHZMmTaKoqIiHH36YgQMHZm1f5JvqZMaLbaAvLi7OdRdERGrF8uXL2W+//UqDPMC+++7LnXfeyezZs9l7771TrldcXMynn37KL37xi9IgD9C5c2fuvvvuMvOSbd68mT/+8Y+lQR6gf//+nHzyyTz77LN8+OGHtGvXDoA2bdowbNiwMkEe4KKLLqKoqIi1a9dWd7OF1AeskyZNqnSd2AZ6EZG4Ovzww1m0aBGXXXYZo0aN4vDDDweC2+kSt9Sl8vrrrwNUCMIAZ5xxBvvttx///ve/KywzM84777wK8w866KAK8x566KEK83bs2MHUqVPT9ktqV0bX6M1siJnNMbPNZrbBzKabWc8M1m9iZmPN7HUz+7eZvRvW0SdN+VvN7NlKXkdm0n8RkTj405/+RJs2bfjzn/9M165d6datG0VFRcyYMYOdO3emXW/VqlUAtG/fvsKyPfbYg7Zt26Zc7+CDD6Zp06aR+7dixQoeeughRo4cycCBAykoKEj540LqRuRAb2bXAE8AfYG1wFagEJhrZv0irL83MA+4CegCvAlsD+uYZ2bnp1jtHOC0Sl77R+2/iEhcHHPMMSxfvpzJkyczZMgQPvvsMyZNmsQZZ5xBr169ePfdd1Oul2qEfLJGjRqlnN+4cePIffvVr35F165dufjii5kxYwbdunXj3nvv5a233opch2RXpEBvZgXAOILgfry7d3f3NsDVQGNgYoRqfgb0AP4JfNvd+7l7V2AIYMC9ZtYsqU0DOgFL3N3SvGZnsK0iIrHRrFkzfvzjH/PEE0/w2WefMWfOHL7//e+zbNkyRo0alXKdzp07A6S9Tp58W111vPLKK9xxxx306NGDt956i5UrV3L//fdz0UUX0bVr1xrVLdUX9Yj+AoKAPtbd5yZmuvtE4DngaDPrXkUdiQs8P3f30hs93f1J4BngW8BRSeVbA02BVRH7KCISeytWrKBXr1789Kc/LZ1nZvTt27d0EPLbb7+dct2ePXsC8Nhjj1VY9o9//INNmzbVqG9z5wbhYfjw4Rx55JEpl0ndyyTQA6S692JauTLpdAC2u/uyFMuWh9OOSfMOC6crI/VQRCQPHHrooSxZsoTJkyezYMGCMssSA9569OiRct0rr7ySFi1acN9995W5RWvt2rVcffXVNe5b69atgSBhzu7du0vnL1q0iOHDhwPwxRdf1LgdyUzUUfcdgE3u/k6KZa+F044pliX7IZBulEincPpB0rxEoF9nZkVAP6ARsAR43N1rdo5JRPJWLh9TW1PNmjVj5MiR3H333Rx33HH06dOHFi1asHr1atasWUOLFi0YPXp0ynULCgq45557+MlPfsKZZ55Jp06dOOCAA1iyZAkDBgzg2GOPZcqUKTRr1izl+lU5/fTTOeSQQ3jqqado164dnTt35qOPPuJf//oXhYWFNG3alKVLl9K7d2/+/ve/c+CBB9ZkV0hEVR7Rh9fKWwEb0hRJzK94n0USd3/Z3eck1bufmXUxs1uAc4HFwKtJqySC/3jgAWA4MAz4PfCmmf24qr6LiMTRuHHjuP/+++nVqxerV68uvXf+8ssvZ+HChRVOmye78MILmTlzJoMHD2bjxo289957XHHFFfztb39jx44dNGrUiJYtW1arXwUFBbz44oucd955fP311yxevJi2bdtSXFzM9OnTuf/++zniiCP4+uuvSxPsSO2zylIlApjZt4DPgIXuXuE2ODNrDGwD3nb3SLe7mdlJwMykWS8D/+nunyaV+SvwA+A94ApgDsEo+2HAb8JiPd29zMUoM3MgZVaodIqKilJm0hOpL5KPQOv6yWtxUJ+O4Ovz5zdgwABWr17NRx99lOuu5L3i4uLIid8WLlwIgLtXfLAB2Qn0+wBbgJXu3iVKp8J77+8ADga6AnsBDwJXuvuusMyPgDbAFHf/qNz6NwK/Bf7X3c8vt8yBSnM9izQ0CvQ1p30Ijz/+OKNHj+a6667jkksuKbPs448/pl27dvTv358XXnghRz2U6kg8uChdoI8yGG8DsAsoSLM8MX991E65+2J3P83dewLtCY7oLwOuTyrziLuPKx/kQ38Mp72itikiku+OOuooli9fzu9///syI+y3b9/OyJEj2bFjR5nR/BIPVV4kcXc3s8+AdBdtEvMjB/py9X9sZlcBbxEkyLk9wjpfmtnnQOo0TiIiUkHXrl0ZNWoU48ePp3PnzgwePBh3Z/bs2axZs4bu3btz7rnn5rqbkmVRb69bAzRPc698Iite6lRMgJn1NbOVZnZPmiLvhdN9wvIHmtlwMzsxTX17Ai2A1ZF6LyIiANx555088sgjHHbYYcyYMYNnnnmGAw88kGuvvZZZs2ax11575bqLkmVRhz0+BvQnOOIun8fw7KQy6awguF3uZDMzr3gB/ZhwujScbgbuA7abWRt331qu/EkE1/UXR+y/iIgQXM8dOnSocs/nkahH9I8SjKy/0cz6Jmaa2QjgVGC+uy9Nt7K7f0FwHb4b8BszK02obGaHA/eGf/41LL8VmEpw/f8vZrZvUvmeBNfodxLhNL+IiEg+ixTo3X0jcAPQBJhjZkvN7APgHoL89yMSZc2sVdLT5VolVfNTgtH5twAfmtnLZraU4AxBN+B+d38qqfxIglPz5wPvmdkrZvY2sIDg2vyoNFn2REREJBT56XXuPoEgX/08gmQ2zYDpwHHuPj+paFO+ebpc06T1lxPcSvcg8AXQG2hOcD/96e5+Zbn2NgLHEjxM52PgaIJ8+08D/dw93fV+ERERCWWUmsjdpxKcUq+szDqCp9GlWvYBcGkG7X1BcCbhhgy6KSIiIqHY5iBMlemusLCQwsLCHPRGRESk5kpKSso8kCiKKjPjNTTKjCdxpKxuNad9KHGVjcx4IiIi0kAp0IuIiMSYAr2IiEiMxXYwnohIqTEtWNsk+e9cdQQYs6nqMiJZpCN6EZEGpkOHDnTo0CHX3cDMGDRoUK67Ua/NmjULM+OWW27JWR8U6EVERGJMp+5FJK+03/Zo3d9eN6ZF3bYnkiS2gV4Jc0REJG6qkzAntqfui4uLK7wU5EUkTrZs2cK1115LmzZt2HfffTn++OMZO3Ysu3btKlPu448/5rrrrqNbt27su+++tGzZkt69e3P33XezY8eOCvXu3r2bu+66ixNOOIEWLVrQoUMHhg4dyqpVq6rs0+eff86RRx6JmVFcXFxm2cKFCznvvPM49NBDKSgo4Pzzz+f9999nxIgRmBnr1q0rLduhQwcGDx7Mzp07ufzyy2nRogU///nPS5fv3LmTsWPHMmDAAFq0aEHnzp35z//8TxYtWlShT4MGDSpNKlPeLbfcgpkxa9as0nkXX3xxafmnnnqKY445hmbNmtG2bVsuvvhiPvroowr1rF+/nksuuYRu3bpRUFDA4MGDefjhh7OevK2wsLBCbKtKbI/oRUTibOfOnZx++um8/PLLdOnShQMOOIB58+Yxd+5c/v73vzNz5kyaNGnCli1bOOmkk3j77bcpKCjg6KOPZtu2bSxevJhrr72WZcuW8ec//7m03m3btnHmmWfyz3/+k3322YcePXrw8ccf89hjj/H000+zaNEiDj/88JR9+uqrrzjttNN4++23ueuuu8qcWZ02bRo/+tGP2Lp1Kx07duSggw5i6tSpvPrqqxx33HEp69u9ezeXXHIJjz76KG3btqVjx46l7Zx66qnMmzePJk2a0KNHDz755BOeeOIJpk+fzp/+9CcuvvjiGu/jKVOmMHz4cNq0aUPPnj1ZsmQJDz30EIsWLeL1119n7733BuCNN95g8ODBfPLJJzRv3pwjjzyy9HM46aSTatyPGnP3WL0ADzZLJD7a/fKZ0pdUw83NS1852YdJ7WdD+/btHfDmzZv7P//5z9L5b7/9tnfs2NEBv+uuu9zdfcqUKQ54YWGhb926tbTsunXrvHXr1r733nv79u3bS+ePHz/eAf/e977nX331lbu7796928eNG+eAn3LKKaVlAR84cKC7u2/ZssX/4z/+wwG/5ZZbyvR38+bN3qpVK2/atKk/9dRTpfNXrFhR2l/A165dW2Yb99xzT+/SpYu/8cYbZer79a9/7YAPGjTIN2zYUDr/iSee8CZNmnjz5s39888/L50/cODAtHFhzJgxDvhLL71UOu+iiy5ywPfff39/8MEHS+evX7++tL+vvPJK6fz+/fs74Jdeeqnv2LHD3d137drlI0aMKN22MWPGpGw/G5LiXsq4GNtT9yIicffrX/+ak08+ufTvbt268dBDDwFw5513ls4/44wzGDNmDE2afJNMoG3btgwaNIgdO3awfv16IDhL8Lvf/Y7GjRszefJk9ttvPyC4je7666+nS5cuvPLKK2zfvr1MP7Zv384555zDq6++yqhRoxg9enSZ5cXFxXz66adceeWVnHXWWaXzO3fuzN133512+3bt2sUf/vAHevbsWTpv69at3H333TRu3JhHHnmEgoKC0mVDhgzhiiuu4KuvvuLee++tavdV6dxzz+WSSy4p/fvggw/mpz/9KQCrV68G4OWXX2b27NkcfvjhPPDAA+y1114ANGrUiAkTJnDEEUfUuB81pUAvItJAXXTRRRXmDRgwgK5du/LJJ5+wYcMGhg0bRklJCUcffXSZcsuXL69wPXvt2rVs2LCBk08+mVatWlWo+4UXXmDx4sXsscc3oWPnzp388Ic/5B//+AdmlrJPr7/+OgBDhw6tsOyMM84o/UFRXqNGjTj11FPLzFu9ejVbtmzhlFNOoXXr1hXWGTZsGABvvvlmyjoz8YMf/KDCvIMOOqjM30uWLAGCzyJ5v0DwA2n48OE17kdN6Rq9iEgD1Lx5cw488MCUy7p06cLy5ctZvXo1LVu2ZNOmTcyaNYvFixezePFiFixYwPvvv19hvZUrVwLQrl27lPUeeuihFebNnj0bgF69evHGG29wzTXXMHPmzDJlEoP42rdvX2H9PfbYg7Zt27Js2bIKyw488EAaNWpUZt6aNWsA0iYMSsxPHHHXRJSkRIltO+yww1IuTze/LumIXkSkASofAJN5ONJ7n3324bXXXuOwww7jrLPOYvz48QCMGDGCl156qcIRa+KUfOL0c1TXXXcds2fPpn379jz//PM8+eSTKevNdFuSLzUkJLatqrp27txZabmEVHcdJDRu3LjK9RMD8tKN6q/sc6orCvQiIg3Qxo0b+eKLL1IuW7FiBWZGx44dufDCC/nyyy959NFH+fzzz3nyySe57rrrOOGEE0qDVELi6DP5Nrdkq1atYtasWWza9E2+/t69e3PnnXfStGlT/uu//guAa6+9lq1bt5aW6dy5MxBcGkglXXupdOrUCYB333035fLEEX+izaqk61NUiaP+xNmQ8rJxZqGmFOhFRBqoxMC7ZLNmzeJf//oX3bt3Z8uWLaxevZojjjiCCy64oExg3717N/Pnzy+zbqdOnWjatCkzZ85M+SPi4osvZuDAgWWCePL19XPOOYdTTjmFdevWMW7cuNL5icF0jz32WIU6//GPf5T54VCVTp06sc8++zBz5kw+/vjjCssnT54MQI8ePSosK79NW7du5YUXXojcdirf+c53gOCz2L17d4XlU6ZMqVH92RDbQF9UVFThlWk2IRGR+uzWW2/lxRdfLP172bJlpfePjx49mgMOOIDGjRuzZs2aMkfNGzdu5NJLL2XFihXANwFwn332YeTIkWzevJnhw4ezefPm0nUefvhhXn31Vfr06cPBBx+ctk/33HMPe+21F3feeWdpm1deeSUtWrTgvvvuK/P/8Nq1a7n66qsz2uamTZsycuRItm3bxrBhw/jyyy9Llz3++OPcf//9NG/enKuuuqp0fmJswMSJE0vn7dq1i6uvvppPP/00o/bL69+/PwMGDOBf//oXl19+eeklg927d3P99dezePHiGtVfXklJSYXYVpXYDsaLki1IRPLP2iZDc/uY2izp378/n376KSeeeCJdu3Zlr732YtmyZezevZthw4YxZMiQ0lHwDzzwAN26daN3797s2LGDt956i/33358LL7yQyZMnc/rppzN+/Hh+9KMfccMNNzBz5kyeeeYZWrduTY8ePfjiiy9Yvnw5TZs25cEHH6y0X127duWaa65h/PjxXHvttUydOpWCggLuuecefvKTn3DmmWfSqVMnDjjgAJYsWcKAAQM49thjmTJlCs2aNYu07ddffz0zZ87k+eef55BDDilN6rNu3Tr23ntvJkyYUGag4sUXX8zkyZMZM2YMJSUltGvXjoULF7JhwwZ+9atf8dvf/rZGn8WECRMYPHgwkyZN4n//93854ogjWLFiBRs2bOCqq67Kyq1+CalSuU+aNKnSdWJ7RC8iEmcHHHAAr732GpdeeikbN25k7dq1fPe73+X+++9nypQppYPDJkyYwG233Ubbtm1ZtGgRO3fu5NJLL2Xp0qU88MADnHvuucA3A/CaN2/O7NmzGTNmDN27d2fp0qXs2LGDoUOH8tZbb6U8JV7e6NGjad26NU8++WTpCPwLL7yQmTNnMnjwYDZu3Mh7773HFVdcwd/+9jd27NhBo0aNaNmyZaRtb9GiBa+++iq33norvXr14p133mHPPfdkyJAhzJ07t8Itft/97neZMWMG/fr1Y+XKlTz//PN0796duXPn0qtXr6i7PK3EHQcXXXQRrVu35o033uDggw+muLiY2267rcb115RVNYKxoTGzID1ezLZL8lv7G2aUvq/zJ6/FQX16etyY6Nej88WAAQNYvXp1yhzyUrXEjzp3Tzn0P7an7kVESo3ZpB9LOfT4448zevRorrvuujKZ5iB44M78+fPp379/jnoXfzp1LyIiteqoo45i+fLl/P73vy8zwn779u2MHDmSHTt2lKaWlezTEb2IiNSqrl27MmrUKMaPH0/nzp0ZPHgw7s7s2bNZs2YN3bt3Lx0rINmnQC8iIrXuzjvvpFevXtx7773MmDGD3bt306VLF84++2xuuummjLPxSXQK9CIiUuvMjKFDh6Z8sI3ULl2jFxERibHYHtGnyhaUKtGAiIhIQ1FSUpJxllfdRy/SAOjWsJrTPpS4quo+ep26FxERibGMAr2ZDTGzOWa22cw2mNl0M+uZwfpNzGysmb1uZv82s3fDOvrUVpsiIiL5LHKgN7NrgCeAvsBaYCtQCMw1s34R1t8bmAfcBHQB3gS2h3XMM7Pzs92miIhIvosU6M2sABhHEGiPd/fu7t4GuBpoDEysbP3Qz4AewD+Bb7t7P3fvCgwBDLjXzEofXZSlNkVERPJa1CP6CwiC61h3n5uY6e4TgeeAo82sexV1nBdOf+7uXyXV8STwDPAt4KgstykiIpLXMgn0ANNSLJtWrkw6HYDt7r4sxbLl4bRjltsUERHJa1Hvo+8AbHL3d1Isey2cdkyxLNkPgZ1plnUKpx9kuU0REZG8VmWgt+AGvVbAe2mKbAinB1VWj7u/XK7e/YDWwI+Ac4HFwKvZbFNERCTfRTmibxmW25hmecZB18xOAmYmzXoZ+E93352tNvv0SXvHXgVFRUUpM+mJiIjkQnFxMcXFxVmpKxspcBuF00wePbSBYEDdwUBX4D+AsWZ2pbvvykabCxYsyKA7IiIi9UcmB6CJzHjpRBmMtwHYBRSkWZ6Yvz5SjwB3X+zup7l7T6A9wRH9ZcD1tdWmiIhIPqoy0HuQNP4zgtPpqSTmVyvouvvHwFXhn+fURZsiIiL5IurtdWuA5mnuW09kqHs33cpm1tfMVprZPWmKJAbd7ZOtNkVERCR6oH8snJ6TYtnZ5cqksgI4DDjZUl9MOCacLs1imyIiInkvaqB/FNgG3GhmfRMzzWwEcCow392XplvZ3b8guA7fDfiNmSUG02FmhwP3hn/+NVttioiISMRA7+4bgRuAJsAcM1tqZh8A9xDkoh+RKGtmrczs2fDVKqmanwJbgFuAD83sZTNbCrxF8APgfnd/qjptioiISGqRn17n7hMI8tXPI8hk1wyYDhzn7vOTijYFTgtfTZPWX05wK92DwBdAb6A5wf30p7v7lTVoU0RERFLI6D56d58KTK2izDqCp9GlWvYBcGm220wl1f2HhYWFFBYWZlqViIhIvVBSUkJJSUlG61hwJ1t8mJkDxG27JL+1v2FG6fu1d3w/hz1puLQPJa4SY9zdPeVBduRT9yIiItLwKNCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEWEaZ8RoSZcYTqWNjWuS6B5Va2yT5r0256oZIjSgzHsqMJ/HUILK61fNAX8YYBXqJj6oy48X2iF4kTtY2GfrNH2Ny1g0RaYAU6EUk++rjEXNDOuMgkkUajCciIhJjOqIXaWjq49GyiNRbOqIXERGJMQV6ERGRGFOgFxERiTEFehERkRiL7WA8ZcYTEZG4UWY8lBlPYir5HnCNuq8e7UOJqaoy4+nUvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYMuOJiIg0EMqMhzLjSUwpq1vNaR9KTFWVGS+jI3ozGwKMAo4CtgOzgdHuvjiDOoYClwFdgb2AJcBkd384RdlbgWMqqW6Uuy+LvAEiIiJ5JnKgN7NrgD+Efy4D9gcKgVPN7ER3fy1CHZOAS4GdwNvAbmAAcKKZnQUM8bKH4ucA3SupcmzU/ouIiOSjSIPxzKwAGAdsBY539+7u3ga4GmgMTIxQR1+CIP8e8B137+nuRwNHAG8SBPWipPIGdAKWuLulec3OaGtFRETyTNRR9xcQBPSx7j43MdPdJwLPAUebWWVH3gAXhdNb3P2dpDpWAcPDPy9MKt8aaAqsithHERERKSeTQA8wLcWyaeXKpNMxnL5UfoG7vwFsBHokzT4snK6M1kUREREpL+o1+g7ApuQj8SSJa/MdUyxLNhdYB3xYfoGZNQH2BTYkzU4E+nVmVgT0AxoRDN573N3XRey7iIhI3qoy0IfXylsRXFtPJRGcD6qsHncfXcniXxKMwH85aV6ncDoeaJY0fxgw2sx+5u5TKmtTREQk30U5om8ZltuYZnmkQJ9K+CNiLHAjwe16tyctThzRbwB+AMwhGOk/DPgN8KCZLXT3t1PV3adPn8j9KCoqSplgR0REJBeKi4spLi7OSl3ZyIzXKJzulclKZtYbuBfoC+wAhrv7kqQi04FFwBR3/yictxG4zcy+Bn4L3Aycn6r+BQsWZNIdERGReiOTA9BEwpx0ogT6DcAuoCDN8sT89RE71Bi4DfgFwWDANwmC/BvJ5dz9kUqq+SNBoO8VpU0REZF8VWWgd3c3s88ITuGnkphfZaA3s0OBvxMkwdlAcAq+2N2/jtbd0j59aWafA20zWU9ERCTfRL29bg3QPM298v3C6buVVWBm+wEzCIL8PKCHu9+fKsib2YFmNtzMTkxT155AC2B1xP6LiIjkpaiB/rFwek6KZWeXK5PO1cB3gCeBE5Kuu6eyGbgPeNzMmqZYfhLBmIDFVbQpIiKS16IG+keBbcCNYSpbAMxsBHAqMN/dl1ZRx2XA18Dl7r69soLuvhWYSnD9/y9mtm9Smz0JrtHvpOwofRERESkn0qh7d99oZjcQPNRmjpm9SRCEDyXIfz8iUdbMWgGJJ9ENd/dPzawl0I7gx8LkSkYIbnT3oeH7kUB/glH1p5rZMoLxAF0AB36hJ9eJiIhULvLtde4+wcw+AK4jeEztDoJb4H7t7m8mFW0KnJb0HqB9OG2StCyVj5Pa22hmxwLXA2cCR4fLnwbucPfXo/ZdREQkX2V0H727TyU4pV5ZmXWAlZu3sPy8iO19AdwQvkRERCRD2UiYUy+lSjRQWFhIYWFhDnojIiJScyUlJZSUlGS0jrl7LXUnN8zMAeK2XZLnxrRIer8pd/1oyLQPJaYS497cPeWZ86ij7kVERKQBUqAXERGJMQV6ERGRGFOgFxERiTEFehERkRhToBcREYkxBXoREZEYU6AXERGJMWXGExERaSCUGQ9lxpOYUla3mtM+lJhSZjwREZE8pkAvIiISYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISY8qMJyIi0kAoMx7KjCcxpaxuNad9KDGlzHgiIiJ5TIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxpQZT0REpIFQZjyUGU9iSlndak77UGIqq5nxzGyImc0xs81mtsHMpptZzwzrGGpmL5rZejP73MyeN7PhtdmmiIhIvooc6M3sGuAJoC+wFtgKFAJzzaxfxDomAY8A/YFPgPeAAcBDZvakJX6WZLFNERGRfBYp0JtZATCOINAe7+7d3b0NcDXQGJgYoY6+wKUEwf077t7T3Y8GjgDeBM4BipLK17hNERGRfBf1iP4CguA61t3nJma6+0TgOeBoM+teRR0XhdNb3P2dpDpWAYlT9xdmuU0REZG8lkmgB5iWYtm0cmXS6RhOXyq/wN3fADYCPbLcpoiISF6LentdB2BT8pF4ktfCaccUy5LNBdYBH5ZfYGZNgH2BDVluU0REJK9VGejDAXKtCK6tp5IIzgdVVo+7j65k8S+BvYCXs9mmiIhIvotyRN8yLLcxzfJqB90woI8FbgS2A7dnq80+ffpE7kdRUVHKBDsiIiK5UFxcTHFxcVbqykZmvEbhdK9MVjKz3sC9BLfO7QCGu/uSbLW5YMGCTLojIiJSb2RyAFruzvQKogzG2wDsAgrSLE/MXx+xQ43N7E5gPkGQfxPo6+5/ra02RURE8lWVR/Tu7mb2GcHp9FQS86sMumZ2KPB3oDtBMP8NUOzuX9dWmyIiIvks6u11a4Dmae5bT2Soe7eyCsxsP2AGQZCfB/Rw9/vLB/lstikiIpLvogb6x8LpOSmWnV2uTDpXA98BngROcPeP6qBNERGRvBY10D8KbANuDFPZAmBmI4BTgfnuvrSKOi4DvgYud/ftddSmiIhIXos06t7dN5rZDcAfgDlm9ibBgLhDCXLRj0iUNbNWwMPhn8Pd/VMzawm0IwjckysZIbjR3Ydm2qaIiIikFvn2OnefYGYfANcBRxHcEjcd+LW7v5lUtClwWtJ7gPbhtEnSslQ+rmabIiIikkJG99G7+1RgahVl1gFWbt7C8vOy2aaIiIiklo2EOfVSqkQDhYWFFBYW5qA3IiIiNVdSUkJJSUlG65i711J3csPMHCBu2yV5bkyLpPebctePhkz7UGIqMe7N3VOeOY866l5EREQaIAV6ERGRGFOgFxERiTEFehERkRhToBcREYkxBXoREZEYU6AXERGJMQV6ERGRGFNmPBERkQZCmfFQZjyJKWV1qzntQ4kpZcYTERHJYwr0IiIiMaZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMabMeCIiIg2EMuOhzHgSU8rqVnPahxJTyownIiKSxxToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxpQwR0REpIFQwhyUMEdiSsleak77UGJKCXNERETyWEan7s1sCDAKOArYDswGRrv74kwbtuAnyAfAf7v7b9KUuRU4ppJqRrn7skzbFhERyReRA72ZXQP8IfxzGbA/UAicamYnuvtrGbZ9OnBIFWXOAbpXsnxshm2KiIjklUin7s2sABgHbAWOd/fu7t4GuBpoDEyM2qCZ7Wdmw4D/rqKcAZ2AJe5uaV6zo7YrIiKSj6Jeo7+AIKCPdfe5iZnuPhF4DjjazCo78gbAzB4HNgFTgFZVFG8NNAVWReyjiIiIlJNJoAeYlmLZtHJlKvMa8ADwJ+DFKsoeFk5XRqhXREREUoh6jb4DsMnd30mxLHFtvmNVlbj73Yn3ZjYcGFRJ8USgX2dmRUA/oBGwBHjc3ddF6biIiEg+qzLQh9fKWwHvpSmyIZwelK1OhTqF0/FAs6T5w4DRZvYzd5+S5TZFRERiJcoRfcuw3MY0y2sr0CeO6DcAPwDmEIz0Hwb8BnjQzBa6+9upVu7Tp0/khoqKilJm0hMREcmF4uJiiouLs1JXNlLgNgqne2WhrmTTgUXAFHf/KJy3EbjNzL4GfgvcDJyfauUFCxZkuTsiIiJ1I5MD0ERmvHSiBPoNwC6gIM3yxPz1kXoUkbs/UsniPxIE+l7ZbFNERCRuqhx170HS+M8ITuGnkpif1UBfGXf/EvgcaFtXbYqIiDREUW+vWwM0T3OvfL9w+m52ugRmdqCZDTezE9Ms3xNoAazOVpsiIiJxFDXQPxZOz0mx7OxyZbJhM3Af8LiZNU2x/CSCMQGLs9imiIhI7EQN9I8C24AbzaxvYqaZjQBOBea7+9JsdcrdtwJTCa7//8XM9k1qsyfBNfqdwO3ZalNERCSOIgV6d98I3AA0AeaY2VIz+wC4hyD//YhEWTNrZWbPhq+q0txWZiTBqfnzgffM7BUzextYQHBtXk+uExERqULk59G7+wTgPGAeQTKbZgS3wB3n7vOTijYFTgtfqU67R21vI3AswcN0PgaOJsi3/zTQz93vqW7dIiIi+cKCQfXxYWYOELftkjw3pkXS+02560dDpn0oMZW4j97dU95Qn42EOfVSqkQDhYWFFBYW5qA3Uu8lBwGJv4bweevHiKRQUlJCSUlJRuvoiF4EGsZ//AkKANXTkD5j0OcskVV1RB/5Gr2IiIg0PLE9dS9SbfXwSKr9DTNK36/NXTcatPbbHi19v/aO7+ewJ5VoaGcdpEHQEb2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMRYbG+vU2Y8ERGJm+pkxottoC8uLs51F0RERLIq1QHrpEmTKl1Hp+5FRERiTIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxmKbMEeZ8UREJG6UGS+JMuOJiEjcKDOeiIiIlKFALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMRbb++iVMEdEROJGCXOSKGGOiIjEjRLmiIiISBkZBXozG2Jmc8xss5ltMLPpZtazOg1b4EMzu62u2hQREck3kQO9mV0DPAH0BdYCW4FCYK6Z9atG26cDh9RxmyIiInklUqA3swJgHEGgPd7du7t7G+BqoDEwMWqDZrafmQ0D/ruu2hQREclXUY/oLyAIrmPdfW5iprtPBJ4Djjaz7lVVYmaPA5uAKUCrumhTREQkn2US6AGmpVg2rVyZyrwGPAD8CXixjtoUERHJW1Fvr+sAbHL3d1Isey2cdqyqEne/O/HezIYDg2q7TRERkXxW5RG9mRnBafYNaYok5h+UrU7lok0REZE4inJE3zIstzHN8toIujVus0+fPpEbKyoqSplJT0REJBeKi4uzlvgtG5nxGoXTvbJQV9baXLBgQR11RUREJLsyOQANToKnF2Uw3gZgF1CQZnli/vpIPYomF22KiIjETpWB3t0d+IzgdHoqiflZC7q5aFNERCSOot5etwZonua+9USGunez06WctikiIhIrUQP9Y+H0nBTLzi5XJlty0aaIiEisRA30jwLbgBvNrG9ippmNAE4F5rv70iz3LRdtioiIxEqkQO/uG4EbgCbAHDNbamYfAPcQ5KIfkShrZq3M7NnwVVWa26y0KSIiIqlFfnqdu08AzgPmAZ2AZsB04Dh3n59UtClwWvhqWpPOZdCmiIiIpJDRffTuPhWYWkWZdUDlN/UF5R4GHs5GmyIiIpJaNhLm1EupEg0UFhZSWFiYg96IiIjUXElJCSUlJRmtE9tAn63UgSIiIvVFqgPWSZMmVbpO5Gv0IiIi0vAo0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMRYbBPmKDOeiIjEjTLjJVFmPBERiRtlxhMREZEyFOhFRERiTIFeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGYnsfvRLmiIhI3ChhThIlzBERkbhRwhwREREpQ4FeREQkxhToRUREYkyBXkREJMYU6EVERGJMgV5ERCTGFOhFRERiTIFeREQkxmKbMEeZ8UREJG6UGS+JMuOJiEjcKDOeiIiIlJHREb2ZDQFGAUcB24HZwGh3X1wbdZjZrcAxlVQ3yt2XRW1bREQk30QO9GZ2DfCH8M9lwP5AIXCqmZ3o7q/VQh3nAN0rqXJsxO6LiIjkpUin7s2sABgHbAWOd/fu7t4GuBpoDEzMdh1mZkAnYIm7W5rX7OibKiIikn+iXqO/gCAYj3X3uYmZ7j4ReA442swqO/KuTh2tgabAqoh9FBERkXIyCfQA01Ism1auTLbqOCycrqyydyIiIpJS1Gv0HYBN7v5OimWJ6+ods1xHItCvM7MioB/QCFgCPO7u6yL1XEREJI9VGejDa+WtgPfSFNkQTg/Kch2dwul4oFnS/GHAaDP7mbtPqaTrIiIieS/KEX3LsNzGNMurDPTVrOOwpGU/AOYQjNIfBvwGeNDMFrr726kq7NOnTyXdKauoqChlJj0REZFcKC4uzlrit2xkxmsUTvfKch3TgUXAFHf/KJy3EbjNzL4GfgvcDJyfqsIFCxbUoDuSz9rfMCPXXRCRPJfJAWhw0jy9KIF+A7ALKEizPDF/fTbrcPdHKqnvjwSBvlclZURERPJelaPu3d2BzwhOv6eSmJ820GejjnL1fQl8DrSNUl5ERCRfRT11vwbob2bd3f2tcsv6hdN3s1WHmR0InA687+4vlK/IzPYEWqBb76QWrL3j+7nugtSy+np5Zm2TXPdA4ijqffSPhdNzUiw7u1yZbNSxGbgPeNzMmqYofxLB9fzFVbQpIiKS16IG+keBbcCNZtY3MdPMRgCnAvPdfWm26nD3rcBUgmv3fzGzfZPK9yS4Rr8TuD1i/0VERPKSBZfPIxQs+0CaNwmC8KEEuesHuvv8sFwr4OGw3HB3/zTTOsKyBwCvE9xPv5HgITgtgS6AA79w93tS9NMBom6XCABjWiS935S7fkh+0/dQqiEx6t7dUw6/j/w8enefAJwHzCMIvs0IboE7LjlAE+SnPy18Na1mHbj7RuBYggfhfAwcTZAr/2mgX6ogLyIiImVFPqJvKHREL9WiIympD/Q9lGqo6og+Gwlz6qVUiQYKCwspLCzMQW9ERERqrqSkhJKSkozW0RG9COhISuoHfQ+lGrJ2jV5EREQaHgV6ERGRGFOgFxERiTEFehERkRhToBcREYkxBXoREZEYU6AXERGJMSXMERERaSCUMAclzJFqUqISqQ/0PZRqUMIcERGRPKZALyIiEmMK9CIiIjGmQC8iIhJjCvQiIiIxpkAvIiISYwr0IiIiMaZALyIiEmPKjCciItJAKDMeyown1aSMZFIf6Hso1aDMeCIiInlMgV5ERCTGFOhFRERiTIFeREQkxhToRUREYkyBXkREJMYU6BuQ4uLiXHchVrQ/s0/7NLu0P7MvH/epAn0Dko9f0Nqk/Zl92qfZpf2Zffm4T5UZT0REpIGoTma82Ab6fPzVJiIi8ZbqgHXSpEmVrqNT9yIiIjGWUaA3syFmNsfMNpvZBjObbmY9a7OObLQpIiKSryIHejO7BngC6AusBbYChcBcM+tXG3Vko81Mr2XU5zqyob5sS03r0P6sn3VkQ33ZlvpSR33oQ5zqyIb6si1R64gU6M2sABhHEGiPd/fu7t4GuBpoDEzMdh3ZaBMa3gdS2+rLtijQx7OObKgv21Jf6qgPfYhTHdlQX7Ylq4EeuIAguI5197mJme4+EXgOONrMume5jmy0KSIiktcyCfQA01Ism1auTLbqyEabIiIieS1qoO8AbHL3d1Isey2cdsxyHdloU0REJK+Zu1dewMyAHcB77t4pxfJDgA+BF939xGzUUZM2zazyDRIREYkhd7dU86Mc0bckSKyzMc3yDeH0oCzWkY02RURE8l42MuM1Cqd71WEdacun+0UjIiKSj6Ic0W8AdgEFaZYn5q/PYh3ZaFNERCTvVRnoPbiI/xnB6fRUEvPTBt1M68hGmyIiIhJ91P0aoHma+9YTGerezXId2WhTREQkr0UN9I+F03NSLDu7XJls1ZGNNkVERPJalbfXAZjZAcBH4Z+DEpnqzGwEcA8w392Py2Yd2WhTREQk30UK9FD6gJk/hH++STAg7lCCXPQD3X1+WK4V8HBYbri7f5ppHdUt31CZ2c+AMyop8nt3fyFiXQOB3wB9wlkLgN9GXT9OzOxUYBTQFWhO8B16ErjH3b+OWEfWPpuGysyGEOzHo4DtwGxgtLsvrss64sLMhgKXEXwv9wKWAJPd/eFKV/xm/VuBYyopMsrdl9W4ow1EtvZHrL+j7h75BQwB5gJbCO5xfxo4qlyZdoCHr3bVqaMm5RviCyhJ2mepXj+KWM+5wNfhOivDl4fzzsv1dtbxPr0paduXAfMIfiB6+H1qXJefTUN9AdckbetbwAfh+21Av7qqIy4vYFK47TuAxcCi8L0T/Ai1CHW8WcV3sn+ut7OO92mN90fcv6M574BeDvAOQbrfmtTRiOBSx9fAOUnzzw7nfQLsmettraP92T78B/pl8j9yggRLL4b/gH9XV59NQ30RnEHbBvwf0Ddp/ohwHy6sizri8iJ43LYD64BuSfMPA5aGy35aRR0W7svFud6e+vDKxv7Ih+9o5OfRS+0wsz0I8vqvrGFVpwGtgQfdvfRBQO7+FMFRRKuwTD74IcGTD+9x99mJme7+SbhsB3BhVZVk8bNpqHLx1Mo4uyic3uJJz/Bw91XA8PDPqr6XrYGmwKqs965hysb+iP13VIE+99oQfMlqGkz0tL9vJB529FL5BWGwfxs4xMy+VUU92fpsGqpcPLUyzir7Xr5BcGmyRxV1HBZO8/U7WV429kfsv6PZSIErNZP4oq42swuAE4H9CE7lPe3RB9V0CKdzUizLt6f9vQX8GfhXmuUFBKfktlRRT7Y+m4YqF0+tjLO5BKftPyy/wMyaAPvyzXM80kl8J9eZWRFBTpFGBAP6Hnf3ddnrboOQjf0R/+9orq8d5PuLYPStA5upOIhkO3B9xHpWE6QNTjmYJ6xrTa63N9cvglOkDsyrq8+mIb4Irn3uBFanWX5IuB9eqM068uUF3Bzui79WUe63lXwnvwJ+nOttqeP9VqP9kS/fUZ26z73EL9IdBKeHDgK+DVwVzhtnZqdEqOcg4EsPv50pfEGeP+3PzK4A/pvgH+6YCKtk67NpiHLx1Mq8Y4HfEnwftwO3V7FK4ju5Afg+wdmpjsBooAnwoJkdUTu9rZdquj/y4juqU/e59wpBEJ7uZU8d3WdmG4FHgLHAP2vYTiPy9PM2s8OACcDpBEF+lLs/G2HVuvpsGqJcPLUyVsysN3AvwWj8HQR5R5ZUsdp0glvyprh7IqHYRuA2M/ua4Aj3ZuD82ul1vVPb+yMW39HICXOk+swsVVAZ7knJhNKsZwSBpgmwr1eS5MXMVhPcVrZnqqN6M9sJfOTu7TLpe30VZZ+Go+avJQjGjQmuj/7E3Z/PQvuRP5uGKNy+HcD77l7h+qSZtQHeB1529xNqq444MrPGwG3ALwgGRL9J8N19o4b17k8Q5Fa6e5ea9rOhi7I/8uU7mpdHeDmQ6ra2plWt5O5uZqsIstwdCHxcSfFPCE5Z7U+501Bm1oLgs47T0/4q3admth9BspsTCAbdjQXGu/u2bDSe4WfT4ITbV+OnVta0jrgxs0OBvwPdCU4L/wYozsYPRXf/0sw+B9rWtK44iLI/8uU7qmv0dcDdLcVrnZk1NbPhZnZmJat/iyBQfVJFM2vCaf8Uy2L3tL90+xTAzPYEphIE+RXAMe4+NpMgn+XPpqHKxVMrYyv88TmDIMjPA3q4+/1Rg7yZHRh+J09Ms3xPoAXBwNzYy+L+iP13VIE+h9x9K8GgkSfN7JDyy82sG8Gv0SWVDLJLiPK0v0er2dWG5nzgFIJbY4711LfNVCrLn01DlYunVsbZ1cB3CFLdnpB0TTmqzcB9wONmluqM4EkE15IX16STDUi29kf8v6O5Hvaf7y/gFoIBYi8B30qa34HggTQOnBKhnkYE9+fuJnUK3A+BRrne3jrapy+F+61XffhsGuoLOIDg+QBbSZ0aNMotijWuIy4vYC3BLbAH1qCOh8P99j8EY0MS83sSHLnuAI7M9bbW4T6t8f7Ih++oBuPlmJntDcwiGHm7hSAZSzOgG8Gv0fHufl25dRID0a539zeT5p8DPEFwpmYlwT2ihxEE/3Pd/ena3Zr6wcy+Ikhs8xzBP9R0znT3neE6FfZpdT6buMnFUyvjyMxaAp8T5FR/qZKiG919aLr9GT6++3WgE8FYnGUE15G7EHzXf+Hu99TKRtRDmeyPvP6O5vqXhl4OsA9wA0E2p68IRnmWAN9LUz6REOKEFMsGAi+E9XwFPA98N9fbWIf7smXS/qnq1ThpvZT7NNPPJo4vcvDUyri9gN4Rv5Prq9qfBEHoDoJUzlsIjlynEoxFyfm25mDfRtof+fwd1RG9iIhIjGkwnoiISIwp0IuIiMSYAr2IiEiMKdCLiIjEmAK9iIhIjCnQi4iIxJgCvYiISIwp0IuIiMSYAr2IiEiMKdCLiIjE2P8HNKkqHbdN/34AAAAASUVORK5CYII=\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAHDCAYAAADiJfm+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA8p0lEQVR4nO3deZwU9Z3/8ddH5BIFHSKKGA4RBEUigoqyKCRiRG0vzBoJK57jsaLERdeoQTySKJIY0SzrEBPBjWZ/iho7mJjggYoiQQSPiCgIGsULEQOLDMrn90dVDz0z3dPVMz3TXTPv5+NRj+6u41ufqq6ZT1fVt75fc3dEREQkHnYodgAiIiISnRK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHFLyTCzo8zMw2F8XMrOM46n0uLIeyhW3IXQGN+BBQaY2b+aWbmZfd/MBpmZFaL8HOvukbY91zX2+sJ1Hm9md5vZc2b2qZl9YmYLzOw3Zja4KWKQ4tux2AGIlIIwkfQEPnf324scTmRm1gmYGH582t3nFzGcJmVm5cA1QPcMk/9hZrcA/+Xu25o2svyY2beAk8OP97j7mgzzdADuA07MUMQ3gCOAs8xsFvDv7v5/jRSulAAlbpHAWcAIYDXQVIn7OmBdA8vYFZgSvp8CtIjEbWYzgfPqmGVv4A5gtJmd4u6VTRNZvRzE9u/waaBW4gbuYnvS3gr8Afg78DVwIHAK0IrgON4Z+F4jxSolQIlbpHhmZTq7krqZ2ZlsT9pO8EPrf4A3gW8CxwDXA52A48LpFzV9pIVhZgcBPwg/fgCMdvdXaswzEHgS6AycZmaHufuLTRqoNBnd4xaRuPlR2vsL3P2H7v6Su2909zfCWx2DgM/DecrNrH+TR1k4J6W9n1wzaQOE465KGzWs0aOSolHiFpHYMLP9gH7hx9eAuzPN5+7vAFeHH3cg3peO9017//s65vtr2vuBjRSLlAAlbmkyZjbEzH5tZqvMbLOZfWxmT5vZuWYW6Vg0s4FmdqeZvWFm/zSzdWa22MxuM7N9c5dQq7xUbe0R4aieddUUNrNOZnZFGPfb4XZ8ZGZLzGy2mQ3NN4b6MLPxYdyr00ZPSYu9R4ZlDgz3/yIzWxvG/k5YQ3mymXVpithrxDTEzP7HzN4zsy/NbKWZ/dHMvpNlkSFp7x/MUfGsyROZmfU1s7vC/brZzN41s3lmdlqGeX8bfof3pI1+Ovz+3kkblzqu17n7pjpW/1na+8713ggpebrHLU3CzH4K/CfVfyy2A44KhzOBaXUsb8DNwCRq/+AsAwYDl5nZDe4+pXCRV4vhROBeoGONSe2ALgSXZ//NzO5297oqTjUpM2sFVADnZJjcMxyGAVeb2fHu/kQTxXUhQQWy9P9D+4TD8WY2zd2vqLFY+o+LN3Ks4qO09+3qHWhEZnYS8DugQ9rob4bDd8zsQXevz5n/OUAbYEuO+fZPe7+yHuuRmFDilkYXnrmm35dcCjxLcIZwBMHZ7pFArzqKmQ5cEr7/EvgjwaXStgRJexRgwHVm1sndfxgxvFSZlwF9wpgmh+MWpW1DN4LHcVL/lP8OPAZ8SFCzewhBpagdgHPNbKG7/zpiDPXxYhh7Z4KKWITxPBa+Tz/7msD2pP01wb5bBvwT2AtIEJzVtQUeNLM+7v5pI8YOQS3oEwlqSM8l2NcdCO7n7hfOM8nM/uTuT6Yt9yLb7+U+l2Md30p7/3aDI67bUIK42gLzgIXh+NEExycElcbOdvffhp//B1gcLjsuHHc78BbBdwOAu+f6gYKZ7Q78V9qoe+q1FRIP7q5BQ6MNBGcBWwlq/34N/GeGeUYQJBpPG8anTR+VNn4B0CtDGcMILhs7sA04rMb0ozKVnTb9qXDaO1m24/y05e8ELMM83w3X7cBDWcp5Kq2cHgXYvz3SyrsuyzwLwulbgOEZphtBEkmVc2IjHQvp34ET1JAeWmOeHYEH0+b5eQPW92haOd9rhO3pUWN7NgCJDPv2l2nzzMlQzvi06UdFXPehwLXALwh++FSmlXF5Y3x/Gkpn0D1uaWyXsv3Kzi/c/ZaaM7j70wT/vLJJna1/BJzqQcWjmmUsAE4HviL4Z/mfDYg5k4PC163Ajzz871kjhseB18OPB0Yoc7Xl13LabfkGHd5iSN3ffcjdn80QtwPpZUeJvRDOdfeF6SPc/SuCqx8pA+pTsJndSHAlAYKz7YfqFWF+rnL3ZPqIcN9eCaQaRKnX9mQwCrgR+CHBI2+tw3WMcvdfFGgdUqKUuKWxpf55/h9wax3z/RF4tebIsMLUyPDjLHf/qOY8KR48t5pqgOSoAjd7OYPgysBwd/9nHfNtDF9L5TZUK+AEgtivqmO+jWnvmyL2l9z9T5kmuPv7wCfhxzb5FGpm3cwsSXA2CsGZ6AXu/nW9I41mLdlruFey/QddXtuTp52A/zGzcTnnlFgrlX8u0gyZ2V4E91ABnnf3j7PN6+5uZo9S+2zv8LT3nc3s33OstlX4WkbQetZ7eYSclbu/Vtf0sEnK4wgqqEWVb8tpy/KYF6g6g62zNTUz6w78R75lN9DzOaZvAnaPWpiZtSeouHgVQQKD4OrLWV79HnljWex1t85WV23wvLn7T4CfmNluQG+Cx90uBfYAZpuZufu9hVynlA4lbmlMe6S9XxVh/lqXwAlq5Kacm+f6d8lz/kjM7JsEldH6ElRo6x9+zvdsqklbTgsfuTsYOIDtsR8Uvja1gtV6NrPRBE2Cph8rbwBnuvviQq0nh6LU4nb39QQV3Bab2WMEraftAPzUzO4Pf7hJM6PELY1pp7T3ayPM/36GcZ0asP6aj201iJklgBvYfr+7prcI4m3y56HrEl4NuIqg2c9Mz/d+BbwEHNaEYX3e0ALMbBfg5wQVB1M2AlOBW939y4auIw+fN+G6MnL3+WY2h+Dse2+CH2mL6l5K4kiJWxrTF2nvu0aYf88M49IvMR6X7b5oYzOziVSvwPUqwaNJywjayF7u7u+Z2VOUUOI2s50IGiJJ3XLYTFDL/CWCR9qWE5ydllG9MZeSFt6GeYbgMjEEtfl/C1zr7h8WLbACM7OubK9c+Kq7f5BjkZfY3krcN1HibpaUuKUxpf+T2SfC/Jme406vjNYXaPLEHSaJVG34DwhqtmfrwKHR+4HO08VsT9q/ByZ4hme0zSw2LW1Z0JXpn9metFcS3MvO9Vx3HPUg2FYIujD9aY750yvhxbr/dslOiVsajbuvC5tu7AUcYWZd6qqgRtBYRU3pZwxDMkyvxswuIDhz/9Dd78or4OyOZfv96x/VkbQh+HFRSlJdQX5J8Px6tgpU+2UZX4pmsr0S49MEz53XVdM/zpYRJONWVG9QJpsD0t4XpGKmlB49DiaN7Q/h607U8Wy1mR0DHFJzvLuvZPujNGdY0H1htjIGEjy2NYW6W2HLV1na+6w/PMzsu0S7JdCUUrFvyFHrua7n6EtGWAP+1PDjCoLbJ801aePum9netOuJZtYz27zhlaHUvvkMWNK40UmxKHFLY/svgkZLACaaWa3kbWZHELQBnk3q+e9WwO/NrNaZR/gPfQ7BpeptwKx6xrub1e7w5O9p78/ItFBYce2BGuU05jO7mXwjw7hU7HuY2ciaE82so5lNp/p2ZaprUCrK2f7I34/DxNacZPoO7wtf2xE86rVXzRnCJx3uZ3uFzDua4Nl1KRJdKpdG5e5vmdkU4CcEPxRvNrPvE7Qz/QlB041HE7Tx/FeCZjHb1ChjlpmdSnDZtz+wyMz+RHAZcQvB5cExYRkA/+ER2neuIVUDuRMw1cxeBFa6+xLghTDW3YEzLeha8nGC9qS7hzEPJLin+A+CGr2dgIfN7A/uXpFlnePNLJ/nuAGW1biXm15z+mQze52gUmAyPBP9A9srKz1mZg8StPHehuAxsARBW+trw+3bERhnZv9H0Dxnruetm1p672t9IzzXn/J62EJfKUr/Dn8YPpP+pbs/GI67g+CKyH7AcOCNsJGZFQQ/VPsTNLKTakf/JYKa9dJcFbvNVQ0tYwBuIrhX51mG5wgSyGYytCdOkJTvr2N5J/gHODnL+nO1VX51hvKuS5v+3bD8bOteD3yf4D59+vh3aqznqTrKiDLcliH2FRnm65E2/bc5ynyR4AfI77Ntf4GOgTq/gxrzvhPO91SN8Svrud9mNMIx3SPqvqKOtvAJbutsyXHc7EPwJEOu7XwM6Fysv3MNTTPoUrk0CXe/luAe9t0E/5S/JHj2dRFBL1cj3P3zOpbf4u5nEDTdOSssYzPBmfACgt7D+rj7DfUM8VaCbkX/QfBP9D2Cnr9S63+coOJZBcGZ/kaCZL2IoHnN3u7+ew8eV7soLGcdQeMYje1kgisAn4dxvUnQ1Gcq9rOB4wlq5K8i2L73gUcIzsaHuvu7wAUEyfufBAkySqM5TSbsnrR7seMoNA/a3j+N4J70/xEcNytqzLOKoHLmucD/EpxVbyB4XPJtYDZwtLsf5+75XsWRmDF3PTEgIiISFzrjFhERiRElbhERkRhR4hYREYkRPQ4mIhmFj1pdUqDiznT3vxWorHoxs5OBnxWouB+5+yMFKkskLyVfOc3MSjtAERGRRuDuGfs+0KVyERGRGIlN4k49eH7++ec3+OH1Uilj8ODBJRFHKZSh/VmaZWifFrYM7c/Cl9Ec92kusbnHXV5eDsCzzz5b9T6RSJBIJIoZloiISL0lk0mSySRQPb/VJTaJu6IiaO65vLy86r2IiEicpZ+ApvLbzJkz61wmNpfKRURERIlbREQkVmKXuAtxT7tUyiiEUtmWhpah/VmaZRRCqWxLqZRRCjE0pzIKoVS2JWoZsXmOu9TjrI8hQ4aweHFTdB7VMmh/Fp72aWFpfxZec9ynZsHj267nuEVEROJPiVtERCRGlLhFRERiRIlbREQkRpS4iyhKCzkSnfZn4WmfFpb2Z+G1xH2qWuUiIiIlRLXKRUREmhElbhERkRhR4hYREYmR2PQOJtKsTOlU7AjyM2VDsSMQkVBsEnemmoPqj1tEROIsvT/uqFSrXKQYdMYtIlnkqlUemzNukWarVJNi3H5ciLQQqpwmIiISIzrjFpHY6XnV3GKHUGX1zccXOwRpYXTGLSISE2aGmTF//vxih5JVr1696NWrV7HDaNZ0xi0iEhPHHnssAGVlZUWORIpJiVtEYq0Yl6qLdan+T3/6U1HWK6VFiVukyErpfm261e2KHYGIZKJ73CIiJWDhwoWcdNJJdO/enQ4dOnDAAQdwzTXX8MUXX1TNM3LkyKpnfNO99NJLnHbaaXTr1o2ysjJOP/103nvvPSZMmICZsWbNmqp5e/XqxciRI9m2bRu33HIL++67L+3bt2e//fbjhhtuYMuWLbXKf+aZZzjxxBPp0aMH7dq1o3v37iQSCZ5++ulG2RdSNyVuEZEie/zxxxk2bBiPPvooHTt2ZMiQIaxdu5af/vSnnHrqqXU2QPXwww8zfPhw5syZQ7t27ejZsydz5sxh6NChvP/++1mXKy8v5+qrr6Zdu3YccMABvP3221x33XVMnDix2nxPPPEEI0eOJJlM0q5dOw4//HDatm3LH//4R0aNGqXkXQS6VC5SZCX7ONGUYgfQclxzzTVs27aNZDLJCSecAMDGjRs54ogjeOKJJ1iyZAmDBw+utdymTZu48MILAXjkkUc46aSTAHjrrbc49thjefjhhzOub/Hixbzxxhu88MILHHrooQAsWLCAkSNH8tvf/pY77riDHXcM0sPPfvYztm3bxu9+9zvGjh1bVcbMmTMpLy9n1qxZjBgxomD7QnLTGbeISJEtX76cXXbZpSppA+y8885MnTqVa6+9ljZt2mRcrqKigo8//piLL764KmkD9OnTh9tuuy3r+jZu3Mitt95albQBhg0bxtFHH82WLVuqnanvvffejBs3rlrSBjjrrLMAWL16dT6bKgWgM24RkSLbb7/9WLJkCeeffz6TJk1iv/32A4LHv1KPgGXyt7/9DaBWUgU44YQT2GWXXfjnP/9Za5qZcdppp9Uav8cee9Qad88999QaV1lZyZw5c7LGJY1LZ9wiIkX23//93+y99978+te/pl+/fvTv35/y8nLmzp3L1q1bsy739ttvA9CzZ89a03bYYQe6d++ecbk999yT9u3bR45vxYoV3HPPPUycOJERI0ZQVlaW8ceCNA0lbhGRIjvkkENYvnw5s2fPZsyYMXzyySfMnDmTE044gUGDBvHOO+9kXC5TDfB0rVq1yji+bdu2kWP70Y9+RL9+/Tj77LOZO3cu/fv358477+S1116LXIYUlhK3iEgJ6NChA//2b//Ggw8+yCeffMILL7zA8ccfz+uvv86kSZMyLtOnTx8g+33m9MfA6uPZZ5/l5ptvZuDAgbz22mu89dZbzJgxg7POOot+/fo1qGypv9jc4y4vL681LpFIkEgkihCNiEhhrFixgtNPP51DDz2Uu+66CwjuQQ8dOpSKigq6devG3//+94zLHnTQQcyZM4f777+fgw8+uNq0v/zlL2zY0LAuYxcuXAjA+PHjOeCAAzJOk4ZJJpMkk8m8lolN4q6oqCh2CCIiBdetWzeWLVvG8uXLOf/88xkyZEjVtFQFsIEDB2Zc9uKLL2batGn86le/4sgjj6w6kVm9ejWXXnppg2Pr2rUrEDTActlll7HDDsFF2iVLljB+/HgAPvvsswavpyXLdAI6c+bMOpeJTeIWEcmkVJuMjapDhw5MnDiR2267jcMOO4whQ4bQqVMnVq5cyapVq+jUqROTJ0/OuGxZWRnTp0/n3HPP5cQTT6R3797stttuLFu2jOHDh3PooYdy77330qFDh3rFdtxxx7HXXnvxyCOP0KNHD/r06cMHH3zAm2++SSKRoH379rzyyisMHjyYP//5z+y+++4N2RUSke5xi4gU2S233MKMGTMYNGgQK1euZMGCBbRp04YLL7yQl156qdZl6nRnnnkm8+bNY/To0axfv553332Xiy66iMcee4zKykpatWpF586d6xVXWVkZTz31FKeddhpff/01S5cupXv37lRUVPDoo48yY8YM9t9/f77++uuqBluk8VldTemVAjNzoM4m/0RiZ0qntPcNuw/ZaEo4xlI6yy7Zlu+A4cOHs3LlSj744INihyJ5SLVH7+61G6ZHl8pFJIZKOVk2pQceeIDJkydzxRVXcM4551Sb9uGHH7Jo0SKGDRtWpOiksehSuYhITB144IEsX76cW2+9tVoN8i1btjBx4kQqKyu54IILihihNAadcYuIxFS/fv2YNGkS06ZNo0+fPowePRp3Z8GCBaxatYoBAwZw6qmnFjtMKTAlbhGRGJs6dSqDBg3izjvvZO7cuWzbto2+ffty8sknc80119C6detihygFllfiNrMxwCTgQGALsACY7O5L67NyC+7A/xk4BtjR3b+uTzkiIi2VmTF27Fi1Hd6CRL7HbWaXAQ8CQ4HVwGYgASw0syPquf5LCJK2iIiIRBApcZtZGXALQbI+3N0HuPvewKVAW+COfFdsZvsDU/NdTkREpCWLesZ9BkGCvsndqxqodfc7gMeBg81sQNSVmlkb4HfAJmB99HBFRERatnwSN8DDGaY9XGOeKG4EDgIuBEqrZQcREZESFjVx9wI2uPsbGaY9H77uE6UgMzuKoILbbHd/MOL6RUREhAiJO6z53QVYl2WW1Pg9IpTVCZgNvAdMiBijiIiIhKI8DtY5nC/bvejIiRv4FbA3MNLdv4gwf5X0ru5yKS8vz9h/t4iISDFUVFQUrHvqQjTA0ip8rfMpfzM7HfgBMNXdn8l3JYsXL65HaCIiIsWXzwllqpORbKLc414HfAWUZZmeGr+2jiD2BmYAy4AfR1iniIiIZJDzjNvd3cw+IbhknklqfNbEDXwH2A34APhDjV8TqUvsj5nZNuAGd38hV1wi0oKldzlabCXW5ak0f1Frla8COmZ5VjvVato7Eco5ADi2xtA+nHZM+LlLxJhERJqFXr160atXr2KHgZkxcuTIYodR0ubPn4+Zcf311xcthqiJ+/7w9ZQM006uMU8t7j7L3S3TQNB8KgRtlZu7/yFiTCIiIi1O1Mpp9wHTgKvN7K+p1tPMbALBmfIid3+lkWIUEcmuGJeqS+lSvbQ4kc643X09cBXQDnjBzF4xs38A0wnaL696JtvMupjZn8JBl71FREQKKHLvYO5+O3Aa8CLQG+gAPAoc5u6L0mZtT+371yIiksOmTZu4/PLL2Xvvvdl55505/PDDuemmm/jqq6+qzffhhx9yxRVX0L9/f3beeWc6d+7M4MGDue2226isrKxV7rZt2/j5z3/OUUcdRadOnejVqxdjx47l7bffzhnTp59+ygEHHICZ1XoO+aWXXuK0006jW7dulJWVcfrpp/Pee+8xYcIEzIw1a9ZUzdurVy9Gjx7N1q1bufDCC+nUqRM//OEPq6Zv3bqVm266ieHDh9OpUyf69OnD9773PZYsWVIrppEjR2Z9ZOr666/HzJg/f37VuLPPPrtq/kceeYRDDjmEDh060L17d84++2w++OCDWuWsXbuWc845h/79+1NWVsbo0aOZNWsW7p5znzU6dy/pAfAgTJFm5LqO24dSVcoxFju2Aq+/Z8+e3q1bNz/yyCMd8L59+/qAAQPczBzwYcOG+ebNm93dfePGjb7//vs74GVlZT58+HA/5JBDvHXr1g74ueeeW63szZs3+6hRoxzwnXbayYcOHeo9e/as+rx8+fKqeQEfMWJE1ecNGzb44MGDHfCf//zn1cp96KGHvH379g74Pvvs44MGDfJWrVr5Xnvt5aeccooDvnr16mrbeMwxx/i4ceN8hx128J49e/r06dOr1nPYYYc54O3atfNDDz3Ue/To4YC3adPGf/Ob31Rb94gRI7LmhSlTpjjgTz/9dNW4s846ywGfPXu2m5l/85vf9COOOMI7dOjggA8cONC3bNlSNf+SJUt8jz32cMA7duzohx9+uO+6664O+He+8x0HfMqUKZG+2/pIy3uZ82K2CaUyKHFLs1TsxBNFKcdY7NgaIXGnksRf//rXqvF///vffZ999qmWOO+9914HPJFIVCVzd/c1a9Z4165dvU2bNtWS0LRp0xzw7373u/7FF1+4u/u2bdv8lltuccBHjRpVNW964t60aZP/y7/8iwN+/fXXV4t348aN3qVLF2/fvr0/8sgjVeNXrFhRFW+mxL3jjjt63759/eWXX65W3rXXXuuAjxw50tetW1c1/sEHH/R27dp5x44d/dNPP60aX9/Eveuuu/rdd99dNX7t2rVV8T777LNV44cNG+aAn3feeV5ZWenu7l999ZVPmDChatuKmbgjXyoXEZHGde2113L00UdXfe7fvz/33HMPAFOnTq0af8IJJzBlyhTatWtXNa579+6MHDmSyspK1q4NmtXYunUrP/vZz2jbti2zZ89ml112AYLHvq688kr69u3Ls88+y5YtW6rFsWXLFk455RSee+45Jk2axOTJk6tNr6io4OOPP+biiy/mpJNOqhrfp08fbrvttqzb99VXX/HLX/6Sgw46qGrc5s2bue2222jbti2/+93vKCvb3tbXmDFjuOiii/jiiy+48847c+2+nE499VTOOeecqs977rknF1xwAQArV64E4JlnnmHBggXst99+3HXXXbRuHTQK2qpVK26//Xb233//BsfRUErcIiIl4qyzzqo1bvjw4fTr14+PPvqIdevWMW7cOJLJJAcffHC1+ZYvX17rfvDq1atZt24dRx99NF261K4r/OSTT7J06VJ22GF7Kti6dSvf//73+ctf/oKZZYzpb3/7GwBjx46tNe2EE06o+oFQU6tWrTjmmGOqjVu5ciWbNm1i1KhRdO3atdYy48aNA+DVV1/NWGY+/vVf/7XWuD32qN7NxrJly4Dgu0jfLxD84Bk/fnyD42ioQrRVLiIiDdSxY0d23333jNP69u3L8uXLWblyJZ07d2bDhg3Mnz+fpUuXsnTpUhYvXsx7771Xa7m33noLgB49emQst1u3brXGLViwAIBBgwbx8ssvc9lllzFv3rxq86QqtfXs2bPW8jvssAPdu3fn9ddfrzVt9913p1WrVtXGrVq1CiBrAzSp8akz4oaI0shNatv23XffjNOzjW9KOuMWESkBNRNaOg9rMu+00048//zz7Lvvvpx00klMmzYNgAkTJvD000/XOqNMXQJPXe6N6oorrmDBggX07NmTJ554goceeihjufluS/ql/ZTUtuUqa+vWrXXOl5KpVn1K27Ztcy7fpk0bIHtHH3V9T01FiVtEpASsX7+ezz77LOO0FStWYGbss88+nHnmmXz++efcd999fPrppzz00ENcccUVHHXUUVVJJyV1dpj+WFa6t99+m/nz57Nhw/ZGbAYPHszUqVNp3749v/jFLwC4/PLL2bx5c9U8ffr0AYJL8ZlkW18mvXv3BuCddzK3mp06I0+tM5dsMUWVOitPXa2oqRBn/g2lxC0iUiJSFdHSzZ8/nzfffJMBAwawadMmVq5cyf77788ZZ5xRLVFv27aNRYsWVVu2d+/etG/fnnnz5mX8UXD22WczYsSIakk5/f70KaecwqhRo1izZg233HJL1fhU5bL776/d0vVf/vKXaj8Ecunduzc77bQT8+bN48MPP6w1ffbs2QAMHDiw1rSa27R582aefPLJyOvO5Fvf+hYQfBfbtm2rNf3ee+9tUPmFEJvEnerLNH1IJpPFDktEpGBuuOEGnnrqqarPr7/+OmeffTYAkydPZrfddqNt27asWrWq2lnt+vXrOe+881ixYgWwPaHttNNOTJw4kY0bNzJ+/Hg2btxYtcysWbN47rnnGDJkCHvuuWfWmKZPn07r1q2ZOnVq1TovvvhiOnXqxK9+9atq/4dXr17NpZdemtc2t2/fnokTJ/Lll18ybtw4Pv/886ppDzzwADNmzKBjx45ccsklVeNT99bvuOOOqnFfffUVl156KR9//HFe669p2LBhDB8+nDfffJMLL7yw6hL9tm3buPLKK1m6dGmDyq8pmUzWym25xKZyWs0We0REgGbTbviwYcP4+OOP+fa3v02/fv1o3bo1r7/+Otu2bWPcuHGMGTOmqpb3XXfdRf/+/Rk8eDCVlZW89tpr7Lrrrpx55pnMnj2b4447jmnTpvGDH/yAq666innz5vHHP/6Rrl27MnDgQD777DOWL19O+/btufvuu+uMq1+/flx22WVMmzaNyy+/nDlz5lBWVsb06dM599xzOfHEE+nduze77bYby5YtY/jw4Rx66KHce++9dOjQIdK2X3nllcybN48nnniCvfbai4EDB/Lhhx+yZs0a2rRpw+23316t4t7ZZ5/N7NmzmTJlCslkkh49evDSSy+xbt06fvSjH/GTn/ykQd/F7bffzujRo5k5cyb/7//9P/bff39WrFjBunXruOSSSwryaFpKIpEgkUhUGzdz5sw6l4nNGbeISHO222678fzzz3Peeeexfv16Vq9ezZFHHsmMGTO49957qypL3X777dx44410796dJUuWsHXrVs477zxeeeUV7rrrLk499VRge4W0jh07smDBAqZMmcKAAQN45ZVXqKysZOzYsbz22msZL0HXNHnyZLp27cpDDz1UVcP8zDPPZN68eYwePZr169fz7rvvctFFF/HYY49RWVlJq1at6Ny5c6Rt79SpE8899xw33HADgwYN4o033mDHHXdkzJgxLFy4sNYjaUceeSRz587liCOO4K233uKJJ55gwIABLFy4kEGDBkXd5VmlatSfddZZdO3alZdffpk999yTiooKbrzxxgaX31CWq0ZfsYVN/pVG+7AihZJ+lliM3q2iKOUYS+ksu9T2TQkYPnw4K1euzNgGuOSW+pHmQdfXtcTmUrmISBUly6J64IEHmDx5MldccUW1lsgg6ABl0aJFDBs2rEjRNX+6VC4iInk58MADWb58Obfeemu1GuRbtmxh4sSJVFZWVjUlKoWnM24REclLv379mDRpEtOmTaNPnz6MHj0ad2fBggWsWrWKAQMGVN1rl8JT4hYRkbxNnTqVQYMGceeddzJ37ly2bdtG3759Ofnkk7nmmmvybq1NolPiFhGRvJkZY8eOzdjRiDQu3eMWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJkdg8x52pj9JM3aGJiIjERTKZrNaneRTqHUykGEq5562UOMQo0gzl6h1Ml8pFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGlLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGlLhFRERiRIlbREQkRpS4RUREYmTHYgcQVXl5ea1xiUSCRCJRhGhEREQaLplMkkwm81rG3L2RwikMM3OAUo9TJC9TOqW931C8OOoShxhFmiEzA8DdLdN0XSoXERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFF/3CIiIkWi/rhF4iIOfV3HIUaRZkj9cYuIiDQjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjeSVuMxtjZi+Y2UYzW2dmj5rZQXks387MbjKzv5nZP83snbCMIXlHLiIi0gJFTtxmdhnwIDAUWA1sBhLAQjM7IsLybYAXgWuAvsCrwJawjBfN7PR8gxcREWlpIiVuMysDbiFI1oe7+wB33xu4FGgL3BGhmH8HBgJ/Bb7p7ke4ez9gDGDAnWbWoR7bICIi0mJEPeM+gyBB3+TuC1Mj3f0O4HHgYDMbkKOM08LXH7r7F2llPAT8EfgGcGDUwEVERFqifBI3wMMZpj1cY55segFb3P31DNOWh6/7RIxHRESkRYraO1gvYIO7v5Fh2vPha66k+31ga5ZpvcPXf0SMR0REpEXKmbgt6KakC/BullnWha971FWOuz9To9xdgK7AD4BTgaXAc7niERERacminHF3Dudbn2V6pMSdzsy+A8xLG/UM8D133xa1DBERkZYo6qXyurQKX1vnscw6gkptewL9gH8BbjKzi939q0wLDBkS/VHv8vJyysvL8whHRESk8VRUVFBRUVGQsszd654huFReCbzn7rXuY5vZ3sB7wDPuflTeAZjtCdwPjACucfef1pjuALniFImVKZ3S3m8oXhx1iUOMIs1QkHbB3S3T9Jy1yj3ImJ8QXDLPJDV+bT3iw90/BC4JP55SnzJERERaiqiPg60COmZ5VjvVato72RY2s6Fm9paZTc8yS6ri204R4xEREWmRoibu+8PXTGfEJ9eYJ5MVwL7A0Za6BlDdIeHrKxHjERERaZGiJu77gC+Bq81saGqkmU0AjgEWuXvWpOvunxHUHO8P/NjMUhXaMLP9gDvDj/+bX/giIiItS6TE7e7rgauAdsALZvaKmf0DmE7QfvmE1Lxm1sXM/hQOXdKKuQDYBFwPvG9mz5jZK8BrBAl9hrs/UoiNEhERaa4i9w7m7rcTtDf+IkFLZx2AR4HD3H1R2qztgWPDoX3a8ssJHv26G/gMGAx0JHie+zh3v7hBWyIiItIC5PUct7vPAebkmGcNQW9fmab9Azgvn3WKiIjIdpHPuEVERKT4lLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGCtEfd5PI1L92IpEgkUgUIRoREZGGSyaTJJPJvJbJ2R93sak/bmmW4tDXdRxiFGmGGtwft4iIiJQOJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUeIWERGJESVuERGRGFHiFhERiRElbhERkRhR4hYREYkRJW4REZEYUX/cIiIiRaL+uEXiIg59XafF2PPL+4oYSG6rbz6+2CGIFIz64xYREWlGlLhFRERiJDb3uEWkeErxUnTPq+YWOwSRotAZt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiJo8FZHc0nszKxGr26V/KtEe1kQagc64RUREYiQ2Z9zl5eW1xiUSCRKJRBGiERERabhkMkkymcxrGXP3RgqnMMzMAUo9TpG8pF96nqLLvPWifSjNlJkB4O6WaboulYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMqD9uERGRIlF/3CJxob6kG077UJop9cctIiLSjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxEheidvMxpjZC2a20czWmdmjZnZQnmWMNbOnzGytmX1qZk+Y2fi8ohYREWmhIiduM7sMeBAYCqwGNgMJYKGZHRGxjJnA74BhwEfAu8Bw4B4ze8hSzcWIiIhIRpESt5mVAbcQJOvD3X2Au+8NXAq0Be6IUMZQ4DyCZP0tdz/I3Q8G9gdeBU4BajdILiIiIlWinnGfQZCgb3L3hamR7n4H8DhwsJkNyFHGWeHr9e7+RloZbwOpS+VnRoxHRESkRconcQM8nGHawzXmyWaf8PXpmhPc/WVgPTAwYjwiIiItUtRuPXsBG9LPlNM8H77uk2FauoXAGuD9mhPMrB2wM7AuYjwiIiItUs7EHVYY60JwbzqTVLLdo65y3H1yHZP/E2gNPJMrHhERkZYsyhl353C+9VmmR0rcmYQ/Cm4Crga2AD/NNu+QIUMil1teXk55ueq5iYhIaaioqKCioqIgZUW9VF6XVuFr63wWMrPBwJ0Ej5dVAuPdfVm2+RcvXlzvAEVERIopnxPKXE9GR6mctg74CijLMj01fm3EgNqa2VRgEUHSfhUY6u7/G2V5ERGRliznGbe7u5l9QnDJPJPU+JyJ28y6AX8GBhD8IPgxUOHuX0cLV0REpGWL+jjYKqBjlme1U62mvVNXAWa2CzCXIGm/CAx09xlK2iIiItFFTdz3h6+nZJh2co15srkU+BbwEHCUu38Qcd0iIiISipq47wO+BK4Omy4FwMwmAMcAi9z9lRxlnA98DVzo7lvqE6yIiEhLF6lWubuvN7OrgF8CL5jZqwSV0roRtF8+ITWvmXUBZoUfx7v7x2bWGehBkPxn11Fjbr27j63PhoiIiLQEkR8Hc/fbzewfwBXAgQSPcD0KXOvur6bN2h44Nu09QM/wtV3atEw+jBqPiIhIS5TXc9zuPgeYk2OeNYDVGPdSzXEiIiKSv8j9cYuIiEjxKXGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMRIIbr1bBKZukNLJBIkEokiRCMiItJwyWSSZDKZ1zLm7o0UTmGYmQOUepwieZnSKe39huLFEWfah9JMpVoXdfeM7Z/oUrmIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjOxY7ACiKi8vrzUukUiQSCSKEI2IiEjDJZNJkslkXsuYuzdSOIVhZg5Q6nGK5GVKp7T3G4oXR5xpH0ozZWYAuLtlmq5L5SIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIj6o9bRESkSNQft0hcqC/phtM+lGZK/XGLiIg0I0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiM7FjuAqMrLy2uNSyQSJBKJIkQjIiLScMlkkmQymdcy5u6NFE5hmJkDlHqcInmZ0int/YbixRFn2ofSTJkZAO5umabrUrmIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiM5JW4zWyMmb1gZhvNbJ2ZPWpmB9VnxRZ438xurM/yIiIiLVHkxG1mlwEPAkOB1cBmIAEsNLMj6rHu44C96rGciIhIixUpcZtZGXALQbI+3N0HuPvewKVAW+COqCs0s13MbBzwm3rEKyIi0qJFPeM+gyBB3+TuC1Mj3f0O4HHgYDMbkKsQM3sA2ADcC3TJP1wREZGWLZ/EDfBwhmkP15inLs8DdwH/DTwVcd0iIiISito7WC9gg7u/kWHa8+HrPrkKcffbUu/NbDwwMuL6RUREhAhn3BZ0U9IFWJdlltT4PQoVlIiIiGQW5Yy7czjf+izTmyRxDxkyJPK85eXlGfvvFhERKYaKigoqKioKUlbUS+V1aRW+ti5AWVktXry4MYsXERFpNPmcUKb6484mSuW0dcBXQFmW6anxayNFJCIiIvWWM3G7uwOfEFwyzyQ1XolbRESkkUV9HGwV0DHLs9qpVtPeKUxIIiIikk3UxH1/+HpKhmkn15hHREREGknUxH0f8CVwtZkNTY00swnAMcAid3+lEeITERGRNJESt7uvB64C2gEvmNkrZvYPYDpB++UTUvOaWRcz+1M4qFlTERGRAorcO5i73w6cBrwI9AY6AI8Ch7n7orRZ2wPHhkP7woUqIiIieT3H7e5zgDk55lkD1P0QWjDfLGBWPusXERFp6SKfcYuIiEjxFaLlNBGRoup51dxih5DT6puPL3YI0kzojFtERCRGdMYtIrG3ut3YYocQwYZiByDNhM64RUREYkSJW0REJEZ0qVxE4mlKDC49T+lU7AikGYpN4s7Uj2kikSCRSBQhGhERkYZLJpMkk8m8lrGg187SZWYOUOpxiuQl/UwsDmeOUj/6nqUezII2zNw9Y2NmusctIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaL+uEVERIpE/XGLxIX6aW4Z9D1LPag/bhERkWZEiVtERCRGlLhFRERiRIlbREQkRpS4RUREYkSJW0REJEaUuEVERGJEiVtERCRGYtNymkhe0hu+EBFpRnTGLSIiEiNK3CIiIjGiS+XS7PX88r5ih1Cn1cUOQERiRWfcIiIiMaLELSIiEiO6VC7N3uqbjy92CCIiBRObxF1eXl5rXCKRIJFIFCEaERGRhksmkySTybyWMXdvpHAKw8wcoNTjlBKT/hz3lA3Fi0NaNh2HUg9mBoC7W6bpusctIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI0rcIiIiMaLELSIiEiNK3CIiIjGixC0iIhIjStwiIiIxosQtIiISI7Hp1lNEJNbSeworVerBLBZik7jVH7eIiDQ36o9bJEX9IEspiMNZdjr9rZSEXP1xx+aMW0Qkbnp+eV/V+9U3H1/ESOoQtx8XosQtItIUel41t9ghZLS6XbEjkHypVrmIiEiMKHEXUUVFRbFDaFa0PwtP+1RKXUs8RlU5rYiGDBnC4sWLix1Gs1Ftf6pyWkHoGC2sktyfMf9bKcl92kC5KqfpjFtERCRGlLhFRERiRIlbREQkRvJK3GY2xsxeMLONZrbOzB41s4OaugwREZGWKnLiNrPLgAeBocBqYDOQABaa2RFNVUa+TcOVchmFUCrb0tAytD9Ls4xCKJVtKZUySiGG5lRGIZTKtkQtI1LiNrMy4BaCRHu4uw9w972BS4G2wB1NUQbEbwc3tlLZFiXu5llGIZTKtpRKGaUQQ3MqoxBKZVsKmriBMwiS603uvjA10t3vAB4HDjazAU1QhoiISIsWtcnTM8LXhzNMexj4bjjPNY1choiINJY82i2v2AuY8r8NWl3eZcTwOfPGEPWMuxewwd3fyDDt+fB1nyYoQ0REpEXL2XKaBU24VALvunvvDNP3At4HnnL3bxe6jFTLaSIiIi1JQ1pO60xwSX19lunrwtc9GrkMERGRFq8Q3Xq2Cl9bN0YZ2X5xiIiItERRzrjXAV8BZVmmp8avbeQyREREWryciduDm+CfEFzuziQ1PmvSLUQZIiIiEr1W+SqgY5bnrFMtnr3TBGWIiIi0aFET9/3h6ykZpp1cY57GLENERKRFy/k4GICZ7QZ8EH4cmWr5zMwmANOBRe5+WGOXISIi0tJFStxQ1UHIL8OPrxJUKOtG0Pb4CHdfFM7XBZgVzjfe3T/Ot4y4M7N/B06oY5Zb3f3JiGWNAH4MDAlHLQZ+EnX55sTMjgEmAf2AjgTH0EPAdHf/OmIZBftu4srMxhDsxwOBLcACYLK7L23KMpoLMxsLnE9wXLYGlgGz3X1WnQtuX/4G4JA6Zpnk7q83ONCYKNT+aNbHqLtHHoAxwEJgE8Ez2X8ADqwxTw/Aw6FHfcqI+wAk0/ZBpuEHEcs5Ffg6XOatcPBw3GnF3s4m3qfXpG3768CLBD/4PDye2jbldxPXAbgsbVtfA/4Rvv8SOKKpymguAzAz3PZKYCmwJHzvBD8qLUIZr+Y4JocVezubeJ82eH8092O06AE0xwF4g6B514aU0Yrg1sLXwClp408Ox30E7FjsbW2i/dkz/IP7PP2PlqDBnqfCP8ifNdV3E9eB4ArXl8D/AUPTxk8I9+FLTVFGcxkIuid2YA3QP238vsAr4bQLcpRh4b5cWuztKYWhEPujJRyjkfvjlmjMbAeCdtnfamBRxwJdgbvdvapjFnd/hOBXfpdwnpbg+wQ9y0139wWpke7+UTitEjgzVyEF/G7iSr38FdZZ4ev1ntYHg7u/DYwPP+Y6LrsC7YG3Cx5dPBVifzT7Y1SJu/D2JjhoGpoccvWmlj5Pc5fqfObpmhPC5P13YC8z+0aOcgr13cRVIY4pHZfb1XVcvkxwK3BgjjL2DV9b6jFZUyH2R7M/RgvR5KlUlzrwVprZGcC3gV0ILp39waNXMukVvr6QYVpL603tNeDXwJtZppcRXALblKOcQn03caVe/gprIcFl8vdrTjCzdsDObO+HIZvUMbnGzMoJ2rRoRVDB7QF3X1O4cGOhEPuj+R+jxb5W39wGgtqlDmykdqWKLcCVEctZSdBMbMbKLWFZq4q9vcUeCC5JOvBiU303cRwI7h1uBVZmmb5XuB+ebMwyWsoAXBfui//NMd9P6jgmvwD+rdjb0sT7rUH7o6Uco7pUXnipX4yVBJdj9gC+CVwSjrvFzEZFKGcP4HMPj7YMPqOF96ZmZhcBvyH4Q5wSYZFCfTdxpF7+moAFfkJwPG4BfppjkdQxuQ44nuDq0T7AZKAdcLeZ7d840Zakhu6PFnGM6lJ54T1LkFQf9eqXan5lZuuB3wE3AX9t4Hpa0UK/PzPbF7gdOI4gaU9y9z9FWLSpvps4atRe/loCMxsM3ElQ27ySoB2LZTkWe5TgEbJ73T3VQNV64EYz+5rgDPQ64PTGibrkNPb+aBbHaOQGWGQ7M8uUJMZ7WmMzWZYzgsTRDtjZ62g0xMxWEjwGtWOms24z2wp84O498om9VEXZp2Gt8MsJkmtbgvuL57r7EwVYf+TvJo7C7asE3nP3Wvf3zGxv4D3gGXc/qrHKaI7MrC1wI/AfBBV+XyU4dl9uYLm7EiStt9y9b0PjjLso+6OlHKMt8oytADI9htU+10Lu7mb2NkEraLsDH9Yx+0cEl4h2pcZlHzPrRPDdNafe1Orcp2a2C0HjKUcRVEK7CZjm7l8WYuV5fjexE25fg3v5a2gZzY2ZdQP+DAwguAz7Y6CiED/83P1zM/sU6N7QspqDKPujpRyjusddD+5uGYY1ZtbezMab2Yl1LP4NgsTzUY7VrApfh2WY1ux6U8u2TwHMbEdgDkHSXgEc4u435ZO0C/zdxJV6+Sug8MfkXIKk/SIw0N1nRE3aZrZ7eEx+O8v0HYFOBBVVm70C7o9mf4wqcReQu28mqETxkJntVXO6mfUn+LW4rI5KZylRelO7r56hxs3pwCiCRzkO9cyPedSpwN9NXKmXv8K6FPgWQdOmR6Xdk41qI/Ar4AEzy3TF7jsE92KXNiTIGCnU/mj+x2ixq7U3twG4nqDC1NPAN9LG9yLoIMSBURHKaUXwfOg2Mjd5+j7Qqtjb20T79Olwvw0qhe8mrgOwG0H77pvJ3BRklEfqGlxGcxmA1QSPbO7egDJmhfvt9wR1K1LjDyI4s6wEDij2tjbhPm3w/mgJx6gqpxWYmbUB5hPULN1E0LhHB6A/wa/Fae5+RY1lUhWzrnT3V9PGnwI8SHBl5C2CZxT3JUjmp7r7Hxp3a0qDmX1B0FDK4wR/eNmc6O5bw2Vq7dP6fDfNjXr5Kwwz6wx8StAm9tN1zLre3cdm259hd8d/A3oT1GV5neA+bF+CY/0/3H16o2xECcpnf7ToY7TYvxya4wDsBFxF0NrPFwS1GJPAd7PMn2pg4KgM00YAT4blfAE8ARxZ7G1swn3ZOW3/5Brapi2XcZ/m+900xwH18leIfTg44jG5Ntf+JEgqNxM03buJ4MxyDkFdjqJvaxH2baT90ZKPUZ1xi4iIxIgqp4mIiMSIEreIiEiMKHGLiIjEiBK3iIhIjChxi4iIxIgSt4iISIwocYuIiMSIEreIiEiMKHGLiIjEiBK3iIhIjPx/JGuJZBuFEFEAAAAASUVORK5CYII=\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "pdf = matplotlib.backends.backend_pdf.PdfPages(\"output_transformed.pdf\")\n", + "for keys in dictvar.keys():\n", + " fig = plot(keys, dictvar[keys])\n", + " pdf.savefig(fig)\n", + "pdf.close()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "5c913f46", + "metadata": {}, + "outputs": [], + "source": [ + "def plot(title, num):\n", + " fig = plt.figure(figsize =(8,7), dpi=72)\n", + " plt.hist(x_test[:,num][y_test.reshape(-1,)==1], histtype = \"step\", linewidth=3.0, label=\"signal\", bins=10, range=(-6,6), density=True)\n", + " plt.hist(x_test[:,num][y_test.reshape(-1,)==0], histtype = \"step\", linewidth=3.0, label=\"background\", bins=10, range=(-6,6), density=True)\n", + " plt.ylabel('')\n", + " plt.xlabel('')\n", + " #plt.yscale('log')\n", + " plt.title(f'{title}')\n", + " plt.legend()\n", + " return fig" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "38f78744", + "metadata": {}, + "outputs": [], + "source": [ + "dictvar = {\"deltaEta_H_htop\" : 0,\n", + " \"deltaEta_H_ltop\" :1,\n", + " \"deltaEta_htop_ltop\" : 2,\n", + " \"deltaPhi_H_htop\" : 3,\n", + " \"deltaPhi_H_ltop\" : 4,\n", + " \"deltaPhi_htop_ltop\" : 5,\n", + " \"Eta_H\" : 6,\n", + " \"Phi_H\" : 7,\n", + " \"Pt_H\" : 8,\n", + " \"Eta_htop\" : 9,\n", + " \"Phi_htop\" : 10,\n", + " \"Pt_htop\" : 11,\n", + " \"Eta_ltop\" : 12,\n", + " \"Phi_ltop\" : 13,\n", + " \"Pt_ltop\" : 14,\n", + " \"Mass_H\" : 15,\n", + " \"Mass_htop\" : 16,\n", + " \"Mass_ltop\" : 17,\n", + " \"deltaEta_h1_h2\" :18,\n", + " \"deltaPhi_h1_h2\" : 19,\n", + " \"deltaPt_h1_h2\" :20,\n", + " \"Eta_h1\" : 21,\n", + " \"Phi_h1\" : 22,\n", + " \"Pt_h1\" : 23,\n", + " \"deltaEta_ht1_ht2\" : 24,\n", + " \"deltaEta_ht1_ht3\" : 25,\n", + " \"deltaPhi_ht1_ht2\" : 26,\n", + " \"deltaPhi_ht1_ht3\" : 27,\n", + " \"deltaPt_ht1_ht2\" : 28,\n", + " \"deltaPt_ht1_ht3\" : 29,\n", + " \"Eta_ht1\" : 30,\n", + " \"Phi_ht1\" : 31,\n", + " \"Pt_ht1\" : 32, \n", + " \"AvEta_ht\" : 33, \n", + " \"deltaEta_h1_ht2\" : 34,\n", + " \"deltaEta_h2_ht3\" : 35,\n", + " \"deltaPt_h1_ht2\" : 36, \n", + " \"deltaPt_h2_ht3\" : 37,\n", + " \"deltaEta_ht2_ltop\" : 38, \n", + " \"deltaEta_ht3_ltop\" : 39,\n", + " \"deltaPt_ht2_ltop\" : 40, \n", + " \"deltaPt_ht3_ltop\" : 41,\n", + " \"deltaPhi_ht3_ltop\" : 42,\n", + " \"Mass_ht1_ht2\" : 43,\n", + " \"Mass_ht1_ht3\": 44,\n", + " \"Mass_ht2_ht3\" : 45 }" + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "id": "5f37a970", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize =(8,7), dpi=72)\n", + "plt.hist(x_test[:,0][y_test.reshape(-1,)==1], histtype = \"step\", linewidth=3.0, label=\"signal\", bins=10, range=(0,6), density=True)\n", + "plt.hist(x_test[:,0][y_test.reshape(-1,)==0], histtype = \"step\", linewidth=3.0, label=\"background\", bins=10, range=(0,6), density=True)\n", + "plt.ylabel('')\n", + "plt.xlabel('')\n", + "#plt.yscale('log')\n", + "plt.title(f'{key}')\n", + "plt.legend()\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 144, + "id": "6eda29de", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 576x504 with 1 Axes>" + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "fig" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "id": "42a4a344", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-1.14295098, -0.17562717, 0.38928099, ..., 0.18694018,\n", + " -0.99821837, 0.02287401])" + ] + }, + "execution_count": 119, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x_test[:,45]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "aa2b7f00", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "44d405fb", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "0c60fb4a", + "metadata": {}, + "outputs": [], + "source": [ + "metric = BinaryROC(thresholds=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "id": "128839de", + "metadata": {}, + "outputs": [], + "source": [ + "y_preds, y_true = y_preds.to('cpu'), y_true.to('cpu')" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "id": "809c3c73", + "metadata": {}, + "outputs": [], + "source": [ + "fpr, tpr, thr = metric(y_preds, y_true)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "id": "0c62ded3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 720x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(fpr.to('cpu').numpy(),tpr.to('cpu').numpy())\n", + "plt.ylabel('True Positive Rate')\n", + "plt.xlabel('False Positive Rate')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "1291275a", + "metadata": {}, + "outputs": [], + "source": [ + "def eval_step(engine, batch):\n", + " return batch\n", + "\n", + "default_evaluator = Engine(eval_step)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "2970d6a9", + "metadata": {}, + "outputs": [], + "source": [ + "roc_auc = ROC_AUC()\n", + "roc_auc.attach(default_evaluator, 'roc_auc')\n", + "state = default_evaluator.run([[y_preds, y_true]])" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "40399d47", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "State:\n", + "\titeration: 1\n", + "\tepoch: 1\n", + "\tepoch_length: 1\n", + "\tmax_epochs: 1\n", + "\toutput: <class 'list'>\n", + "\tbatch: <class 'list'>\n", + "\tmetrics: <class 'dict'>\n", + "\tdataloader: <class 'list'>\n", + "\tseed: <class 'NoneType'>\n", + "\ttimes: <class 'dict'>\n", + "\n" + ] + } + ], + "source": [ + "print(state)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "id": "75405463", + "metadata": {}, + "outputs": [], + "source": [ + "y_preds_numpy, y_true_numpy = y_preds.detach().numpy(), y_true.detach().numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "563f03df", + "metadata": {}, + "outputs": [], + "source": [ + "w1 = weights(y_true_numpy, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "id": "b9b78ce3", + "metadata": {}, + "outputs": [], + "source": [ + "fpr1, tpr1, thr1 = roc_curve(y_true_numpy, y_preds_numpy, sample_weight=w1)" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "id": "55b36c6a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9921537324618968" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "roc_auc_score(y_true_numpy, y_preds_numpy)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "id": "54adec7e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9897400644061818" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "average_precision_score(y_true_numpy, y_preds_numpy,sample_weight=w1)" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "id": "87fbdbe4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 720x720 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(fpr1,tpr1)\n", + "plt.ylabel('True Positive Rate')\n", + "plt.xlabel('False Positive Rate')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "89f47ce3", + "metadata": {}, + "outputs": [], + "source": [ + " variables = {\n", + " \"deltaEta_H_htop\" : np.abs(hig.eta - htop.eta),\n", + " \"deltaEta_H_ltop\" : np.abs(hig.eta - ltop.eta),\n", + " \"deltaEta_htop_ltop\" : np.abs(htop.eta - ltop.eta),\n", + " \"deltaPhi_H_htop\" : hig.deltaphi(htop),\n", + " \"deltaPhi_H_ltop\" : hig.deltaphi(ltop),\n", + " \"deltaPhi_htop_ltop\" : htop.deltaphi(ltop),\n", + " \"Eta_H\" : hig.eta,\n", + " \"Phi_H\" : hig.phi,\n", + " \"Pt_H\" : hig.pt,\n", + " \"Eta_htop\" : htop.eta,\n", + " \"Phi_htop\" : htop.phi,\n", + " \"Pt_htop\" : htop.pt,\n", + " \"Eta_ltop\" : ltop.eta,\n", + " \"Phi_ltop\" : ltop.phi,\n", + " \"Pt_ltop\" : ltop.pt,\n", + " \"Mass_H\" : hig.mass,\n", + " \"Mass_htop\" : htop.mass,\n", + " \"deltaEta_h1_h2\" : np.abs(jets_higgs[:,0].eta - jets_higgs[:,1].eta),\n", + " \"deltaPhi_h1_h2\" : jets_higgs[:,0].deltaphi(jets_higgs[:,1]),\n", + " \"deltaPt_h1_h2\" : np.abs(jets_higgs[:,0].pt - jets_higgs[:,1].pt),\n", + " \"Eta_h1\" : jets_higgs[:,0].eta,\n", + " \"Phi_h1\" : jets_higgs[:,0].phi,\n", + " \"Pt_h1\" : jets_higgs[:,0].pt,\n", + " \"deltaEta_ht1_ht2\" : np.abs(jets_ht[:,0].eta - jets_ht[:,1].eta),\n", + " \"deltaEta_ht1_ht3\" : np.abs(jets_ht[:,0].eta - jets_ht[:,2].eta),\n", + " \"deltaPhi_ht1_ht2\" : jets_ht[:,0].deltaphi(jets_ht[:,1]),\n", + " \"deltaPhi_ht1_ht3\" : jets_ht[:,0].deltaphi(jets_ht[:,2]),\n", + " \"deltaPt_ht1_ht2\" : np.abs(jets_ht[:,0].pt - jets_ht[:,1].pt),\n", + " \"deltaPt_ht1_ht3\" : np.abs(jets_ht[:,0].pt - jets_ht[:,2].pt),\n", + " \"Eta_ht1\" : jets_ht[:,0].eta,\n", + " \"Phi_ht1\" : jets_ht[:,0].phi,\n", + " \"Pt_ht1\" : jets_ht[:,0].pt, \n", + " \"AvEta_ht\" : (jets_ht[:,0].eta + jets_ht[:,1].eta + jets_ht[:,2].eta)/3, \n", + " \"deltaEta_h1_ht2\" : np.abs(jets_higgs[:,0].eta - jets_ht[:,1].eta),\n", + " \"deltaEta_h2_ht3\" : np.abs(jets_higgs[:,1].eta - jets_ht[:,2].eta),\n", + " \"deltaPt_h1_ht2\" : np.abs(jets_higgs[:,0].pt - jets_ht[:,1].pt), \n", + " \"deltaPt_h2_ht3\" : np.abs(jets_higgs[:,1].pt - jets_ht[:,2].pt),\n", + " \"deltaEta_ht2_ltop\" : np.abs(jets_ht[:,1].eta - ltop.eta), \n", + " \"deltaEta_ht3_ltop\" : np.abs(jets_ht[:,2].eta - ltop.eta),\n", + " \"deltaPt_ht2_ltop\" : np.abs(jets_ht[:,1].pt - ltop.pt), \n", + " \"deltaPt_ht3_ltop\" : np.abs(jets_ht[:,2].pt - ltop.pt),\n", + " \"deltaPhi_ht3_ltop\" : jets_ht[:,2].deltaphi(ltop),\n", + " \"Mass_ht1_ht2\" : (jets_ht[:,0]+jets_ht[:,1]).mass,\n", + " \"Mass_ht1_ht3\": (jets_ht[:,0]+jets_ht[:,2]).mass,\n", + " \"Mass_ht2_ht3\" : (jets_ht[:,1]+jets_ht[:,2]).mass }" + ] + } + ], + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/JetTagging/JetTagging_dataset.ipynb b/notebooks/JetTagging/JetTagging_dataset.ipynb index b1dd905d..c72b2736 100644 --- a/notebooks/JetTagging/JetTagging_dataset.ipynb +++ b/notebooks/JetTagging/JetTagging_dataset.ipynb @@ -559,13 +559,13 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 41, "id": "7a91057f-e154-4c26-9922-040dd2c5b141", "metadata": {}, "outputs": [], "source": [ "df = ak.zip({\"jets\": jets,\n", - " \"partons_matched\": partons},depth_limit=1)\n", + " \"partons_matched\": partons_matched},depth_limit=1)\n", "ak.to_parquet(df, \"all_jets_v1.parquet\")" ] }, -- GitLab From 57b8fa46e644d6257988e54d7b85d54fe9baf4d9 Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 7 Feb 2023 10:06:50 +0100 Subject: [PATCH 4/6] Adding position option to Columnmanager --- pocket_coffea/lib/columns_manager.py | 13 ++++++++++--- 1 file changed, 10 insertions(+), 3 deletions(-) diff --git a/pocket_coffea/lib/columns_manager.py b/pocket_coffea/lib/columns_manager.py index 7e3317a2..6c79ff67 100644 --- a/pocket_coffea/lib/columns_manager.py +++ b/pocket_coffea/lib/columns_manager.py @@ -12,9 +12,8 @@ class ColOut: store_size: bool = True fill_none: bool = True fill_value: float = -999.0 # by default the None elements are filled - pos: int = ( - None # Position in the collection to export. If None export all the elements - ) + pos_start: int = None # First position in the collection to export. If None export from the first element + pos_end: int = None # Last position in the collection to export. If None export until the last element class ColumnsManager: @@ -53,6 +52,14 @@ class ColumnsManager: # Applying mask after getting the collection data = events[outarray.collection][mask] + # Filtering the position in the collection if needed + if outarray.pos_start and outarray.pos_end: + data = data[:,outarray.pos_start:outarray.pos_end] + elif outarray.pos_start and not outarray.pos_end: + data = data[:,outarray.pos_start:] + elif not outarray.pos_start and outarray.pos_end: + data = data[:,:outarray.pos_end] + if outarray.store_size: N = ak.num(data) self.output[category][ -- GitLab From 747aaab2126d005413dd8674c2c8410ecdd10bca Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 7 Feb 2023 10:07:29 +0100 Subject: [PATCH 5/6] Updates JetTaggingDataset --- notebooks/JetTagging/JetTagging_dataset.ipynb | 76 ++++++++++++++++++- 1 file changed, 74 insertions(+), 2 deletions(-) diff --git a/notebooks/JetTagging/JetTagging_dataset.ipynb b/notebooks/JetTagging/JetTagging_dataset.ipynb index c72b2736..68d03e34 100644 --- a/notebooks/JetTagging/JetTagging_dataset.ipynb +++ b/notebooks/JetTagging/JetTagging_dataset.ipynb @@ -559,14 +559,61 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 48, + "id": "60d0fcd2-96d2-4c78-977a-20c2fedc4589", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{'pt': 402.296875,\n", + " 'eta': 1.5523681640625,\n", + " 'phi': -0.551361083984375,\n", + " 'pdgId': 21.0,\n", + " 'prov': 4.0},\n", + " {'pt': 101.1015625,\n", + " 'eta': 1.162109375,\n", + " 'phi': 1.5809326171875,\n", + " 'pdgId': 5.0,\n", + " 'prov': 2.0},\n", + " {'pt': 54.375,\n", + " 'eta': 0.568359375,\n", + " 'phi': 2.5390625,\n", + " 'pdgId': 5.0,\n", + " 'prov': 1.0},\n", + " None,\n", + " {'pt': 49.78125,\n", + " 'eta': 0.484375,\n", + " 'phi': -2.80517578125,\n", + " 'pdgId': -5.0,\n", + " 'prov': 3.0},\n", + " {'pt': 68.5,\n", + " 'eta': 1.12109375,\n", + " 'phi': -0.21533203125,\n", + " 'pdgId': -5.0,\n", + " 'prov': 1.0},\n", + " None]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "partons_matched[3].tolist()" + ] + }, + { + "cell_type": "code", + "execution_count": 50, "id": "7a91057f-e154-4c26-9922-040dd2c5b141", "metadata": {}, "outputs": [], "source": [ "df = ak.zip({\"jets\": jets,\n", " \"partons_matched\": partons_matched},depth_limit=1)\n", - "ak.to_parquet(df, \"all_jets_v1.parquet\")" + "ak.to_parquet(df, \"all_jets_v2.parquet\")" ] }, { @@ -1489,6 +1536,31 @@ "execution_count": null, "id": "290a8d02-b1fd-40c6-bab8-06b91c5f94e1", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "--2023-02-02 09:14:30-- http://mlphysics.ics.uci.edu/data/2021_ttbar/ttbar_testing.h5\n", + "Resolving mlphysics.ics.uci.edu (mlphysics.ics.uci.edu)... 128.195.1.86\n", + "Connecting to mlphysics.ics.uci.edu (mlphysics.ics.uci.edu)|128.195.1.86|:80... connected.\n", + "HTTP request sent, awaiting response... 200 OK\n", + "Length: 165125400 (157M)\n", + "Saving to: ‘ttbar_testing.h5’\n", + "\n", + "98% [=====================================> ] 163,417,625 1.77MB/s eta 1s " + ] + } + ], + "source": [ + "!wget http://mlphysics.ics.uci.edu/data/2021_ttbar/ttbar_testing.h5" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fb239dbf-ed3d-486c-aefe-e46bb677a2b6", + "metadata": {}, "outputs": [], "source": [] } -- GitLab From a7de31108ca94f830f8faa5013abdcfbfd9db335 Mon Sep 17 00:00:00 2001 From: Davide Valsecchi <davide.valsecchi@cern.ch> Date: Tue, 7 Feb 2023 16:19:09 +0100 Subject: [PATCH 6/6] bugfix subsamples masks --- pocket_coffea/lib/hist_manager.py | 2 +- pocket_coffea/workflows/base.py | 3 ++- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/pocket_coffea/lib/hist_manager.py b/pocket_coffea/lib/hist_manager.py index 5ea5d233..fea17b7b 100644 --- a/pocket_coffea/lib/hist_manager.py +++ b/pocket_coffea/lib/hist_manager.py @@ -493,7 +493,7 @@ class HistManager: ) else: # Working on shape variation! only nominal weights - weight_nom = self.__mask_and_broadcast_weight( + weights_nom = self.__mask_and_broadcast_weight( weights[category]["nominal"], mask, data_structure ) # Then we apply the notnone mask diff --git a/pocket_coffea/workflows/base.py b/pocket_coffea/workflows/base.py index 75f14228..c2ccf58b 100644 --- a/pocket_coffea/workflows/base.py +++ b/pocket_coffea/workflows/base.py @@ -55,7 +55,6 @@ class BaseProcessorABC(processor.ProcessorABC, ABC): # Subsamples configurations: special cuts to split a sample in subsamples self._subsamplesCfg = self.cfg.subsamples_cuts - self._subsamples_masks = PackedSelection() # Weights configuration self.weights_config_allsamples = self.cfg.weights_config @@ -276,6 +275,8 @@ class BaseProcessorABC(processor.ProcessorABC, ABC): self._subsamples_cuts_ids = [] # saving the map of cut ids for each subsample self._subsamples_map = defaultdict(list) + self._subsamples_masks = PackedSelection() + for subs, cuts in self._subsamples.items(): for cut in cuts: if cut.id not in self._subsamples_cuts_ids: -- GitLab