{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Comparison of ways to quantify free space" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import math as m\n", "import json\n", "import python_files.space as sp\n", "from python_files.data_extracter import json_extracter\n", "import pandas as pd\n", "\n", "data,events=json_extracter('data/match1_1_4.json')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantify visual space occupation\n", "---\n", "\n", "In the notebook [1_Introduction_to_space_occupation](https://nbviewer.jupyter.org/github/AmigoCap/MecaFootCo/blob/master/1_Introduction_to_space_occupation.ipynb), we introduced metrics to compute visualization of space occupation and we visually compared our two metrics $\\delta_d$ and $\\delta_t$. Now we want to go further than just qualitative aspect.\n", "\n", "### Evolution of teams occupation\n", "\n", "To evaluate quantitatively how a team occupy the court, we integrate functions $\\delta_d(x,y)$ and $\\delta_t(x,y)$ on the basketball court." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def teams_occupation(events,event_id,mom_id,n=50,p=94):\n", "\n", " event=events[event_id]\n", " moment=event['moments'][mom_id]\n", " moment1=moment\n", " moment2=event['moments'][mom_id+1]\n", " \n", " # separation of ball, team1 and team2 and calculation of the speed\n", " mom_infos=sp.players_ball_speed_position(moment1,moment2)\n", " \n", " DELTA_D=0\n", " for i in range(n):\n", " for j in range(p):\n", " b=np.array([j,i]) # point d'arrivée\n", "\n", " dmin_1=np.inf\n", " for player in mom_infos['team1'].keys():\n", " a=mom_infos['team1'][player]['xy']\n", " d=sp.distance(a,b)\n", " if d" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "court_evolution(events,50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that both metrics reveal the same trend but with a delay in the time. The red curve seems to be late (about 1s). We will study this remark in the **Study of the delay** section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Introducing pressure on a player\n", "\n", "Now we want to focus on individual space behaviour. Particularly, we would like to know how a player's freespace evolve during the game. Instead of computing the integrale of $\\delta_d(x,y)$ and $\\delta_t(x,y)$ around the player, we will look at the distance of the closest opponent (or the time it takes for the closest opponent to join the player). This amounts to calculating $\\delta_d^*=\\delta_d(x_{player},y_{player})$ and $\\delta_t^*=\\delta_t(x_{player},y_{player})$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "def player_freespace(events,event_id,mom_id,player_id):\n", " event=events[event_id]\n", " moment=event['moments'][mom_id]\n", " \n", " delta_d=sp.distance_closest_opponent(moment,player_id)\n", " \n", " return(delta_d)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def player_freetime(events,event_id,mom_id,player_id):\n", " event=events[event_id]\n", " moment1=event['moments'][mom_id]\n", " moment2=event['moments'][mom_id+1]\n", " \n", " delta_t=sp.time_closest_opponent(moment1,moment2,player_id)\n", " \n", " return(delta_t)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def player_freespace_evolution(events,event_id,player_id):\n", " event=events[event_id]\n", " moments=event['moments']\n", " \n", " start=0\n", " dt=moments[start][2]-moments[start+1][2]\n", " \n", " while dt<=0 and start<(len(moments)-1):\n", " start+=1\n", " dt=moments[start][2]-moments[start+1][2]\n", " \n", " print(start)\n", " times=[0 for i in range(len(moments)-1)]\n", " list_delta_d=[0 for i in range(len(moments)-1)]\n", " list_delta_t=[0 for i in range(len(moments)-1)]\n", " \n", " for mom_id in range(start,len(moments)-1):\n", " \n", " dt=moments[mom_id][2]-moments[mom_id+1][2]\n", "\n", " if mom_id==0:\n", " times[mom_id]=dt\n", " else :\n", " times[mom_id]=times[mom_id-1]+dt\n", " \n", " if sp.test_moment(moments[mom_id]) and sp.test_moment(moments[mom_id+1]):\n", " list_delta_d[mom_id]=player_freespace(events,event_id,mom_id,player_id)\n", " list_delta_t[mom_id]=player_freetime(events,event_id,mom_id,player_id)\n", " \n", " else:\n", " list_delta_d[mom_id]=list_delta_d[mom_id-1]\n", " list_delta_t[mom_id]=list_delta_t[mom_id-1]\n", " \n", " fig, ax1 = plt.subplots(1,1,figsize=(6,4))\n", "\n", " ax2 = ax1.twinx()\n", " ax1.plot(times[start:], list_delta_d[start:], 'r-')\n", " ax2.plot(times[start:-2], running_mean(list_delta_t[start:],3), 'b-')\n", "\n", " ax1.set_xlabel('times [s]',fontsize='large')\n", " ax1.set_ylabel(r'$\\delta_{space}^*(t)$ [feets]', color='r',fontsize='large')\n", " ax2.set_ylabel(r'$\\delta_{time}^*(t)$ [s]', color='b',fontsize='large')\n", "\n", " plt.show()\n", " plt.plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see which player are present on the court at that time :" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def players_description(event):\n", " print('home : ',event['home']['name'],'\\n')\n", " print(event['home']['players'],'\\n')\n", " print('visitor : ',event['visitor']['name'],'\\n')\n", " print(event['visitor']['players'])\n", " \n", "def players_on_the_court(events,event_id):\n", " event=events[event_id]\n", " moments=event['moments']\n", " mom_id=140\n", " moment=moments[mom_id][5]\n", " print(moment)\n", " sp.print_court_teams_occupation(events,event_id,mom_id,player_info=True)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-1, -1, 52.6259, 31.22923, 4.03216], [1610612764, 2400, 72.29266, 17.02516, 0.0], [1610612764, 2403, 77.91741, 37.50651, 0.0], [1610612764, 202322, 82.03219, 8.25018, 0.0], [1610612764, 203078, 54.97599, 49.75136, 0.0], [1610612764, 203490, 52.6547, 30.742, 0.0], [1610612759, 1938, 60.31959, 31.13308, 0.0], [1610612759, 2564, 73.95654, 18.9506, 0.0], [1610612759, 200746, 79.01342, 36.17024, 0.0], [1610612759, 201988, 82.72768, 9.45229, 0.0], [1610612759, 202695, 59.62278, 43.0901, 0.0]]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "players_on_the_court(events,50)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that the player who has the ball is the player 10 with the ID 202695. Let's see which player he is." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "home : Washington Wizards \n", "\n", "[{'lastname': 'Gooden', 'firstname': 'Drew', 'playerid': 2400, 'jersey': '90', 'position': 'F'}, {'lastname': 'Hilario', 'firstname': 'Nene', 'playerid': 2403, 'jersey': '42', 'position': 'F-C'}, {'lastname': 'Humphries', 'firstname': 'Kris', 'playerid': 2743, 'jersey': '43', 'position': 'F'}, {'lastname': 'Gortat', 'firstname': 'Marcin', 'playerid': 101162, 'jersey': '13', 'position': 'C'}, {'lastname': 'Dudley', 'firstname': 'Jared', 'playerid': 201162, 'jersey': '1', 'position': 'G-F'}, {'lastname': 'Sessions', 'firstname': 'Ramon', 'playerid': 201196, 'jersey': '7', 'position': 'G'}, {'lastname': 'Blair', 'firstname': 'DeJuan', 'playerid': 201971, 'jersey': '45', 'position': 'C-F'}, {'lastname': 'Temple', 'firstname': 'Garrett', 'playerid': 202066, 'jersey': '17', 'position': 'G'}, {'lastname': 'Wall', 'firstname': 'John', 'playerid': 202322, 'jersey': '2', 'position': 'G'}, {'lastname': 'Neal', 'firstname': 'Gary', 'playerid': 202390, 'jersey': '14', 'position': 'G'}, {'lastname': 'Beal', 'firstname': 'Bradley', 'playerid': 203078, 'jersey': '3', 'position': 'G'}, {'lastname': 'Porter', 'firstname': 'Otto', 'playerid': 203490, 'jersey': '22', 'position': 'F'}, {'lastname': 'Oubre', 'firstname': 'Kelly', 'playerid': 1626162, 'jersey': '12', 'position': 'F'}] \n", "\n", "visitor : San Antonio Spurs \n", "\n", "[{'lastname': 'Duncan', 'firstname': 'Tim', 'playerid': 1495, 'jersey': '21', 'position': 'C-F'}, {'lastname': 'Ginobili', 'firstname': 'Manu', 'playerid': 1938, 'jersey': '20', 'position': 'G'}, {'lastname': 'Parker', 'firstname': 'Tony', 'playerid': 2225, 'jersey': '9', 'position': 'G'}, {'lastname': 'Butler', 'firstname': 'Rasual', 'playerid': 2446, 'jersey': '18', 'position': 'F'}, {'lastname': 'West', 'firstname': 'David', 'playerid': 2561, 'jersey': '30', 'position': 'F'}, {'lastname': 'Diaw', 'firstname': 'Boris', 'playerid': 2564, 'jersey': '33', 'position': 'C-F'}, {'lastname': 'Aldridge', 'firstname': 'LaMarcus', 'playerid': 200746, 'jersey': '12', 'position': 'F'}, {'lastname': 'Green', 'firstname': 'Danny', 'playerid': 201980, 'jersey': '14', 'position': 'G-F'}, {'lastname': 'Mills', 'firstname': 'Patty', 'playerid': 201988, 'jersey': '8', 'position': 'G'}, {'lastname': 'Leonard', 'firstname': 'Kawhi', 'playerid': 202695, 'jersey': '2', 'position': 'F'}, {'lastname': 'McCallum', 'firstname': 'Ray', 'playerid': 203492, 'jersey': '3', 'position': 'G'}, {'lastname': 'Anderson', 'firstname': 'Kyle', 'playerid': 203937, 'jersey': '1', 'position': 'F'}, {'lastname': 'Marjanovic', 'firstname': 'Boban', 'playerid': 1626246, 'jersey': '40', 'position': 'C'}]\n" ] } ], "source": [ "players_description(events[50])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's Kawhi Leonard. Let's see his *freespace* evolution during this action" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "125\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "player_freespace_evolution(events,50,202695)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As for teams occupation, comparing player's *freespace* (distance to his closest opponent) and player's *freetime* (time needed for his closest opponent to reach him) reveals a delay close to 0.3-0.5s. We are going to quantify these delays in the following section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Study of the delay\n", "-----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### *occupation-map* delay\n", "\n", "Firstly, as *occupation-map* generated with $\\delta_t$ seems to lag *occupation-map* generated with $\\delta_t$, let's draw these shifted maps for a few moments to see if they fit better." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "data,events=json_extracter('data/game1.json')" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1)\n", "plt.title('Space occupation taking intertia into account')\n", "sp.print_court_teams_occupation_inertia(events,0,25)\n", "plt.figure(2)\n", "plt.title('Previous space occpuation')\n", "sp.print_court_teams_occupation(events,0,25,value=True)\n", "plt.figure(3)\n", "plt.title('Previous space occpuation')\n", "sp.print_court_teams_occupation(events,0,40,value=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Description of these 3 different plots :\n", "1. *occupation-map* generated with $\\delta_{time}$ at a time t\n", "2. *occupation-map* generated with $\\delta_{space}$ at a time t\n", "3. *occupation-map* generated with $\\delta_{space}$ at a time t+Dt\n", "\n", "We see that *occupation-map* 3 best fits with 1 than 2 as expected with our precedent remark. Let's quantify this delay. To do so, we calculate the correlation between the *occupation-map* generated with $\\delta_{space}$ and the *occupation-map* generated with $\\delta_{time}$. Moreover, as force is the factor that can change in our study, we calculate the correlation for different forces and then we look the evolution of the correlation in function of forces. The calculation of the correlation is available in the folder *python_files* and is called *lag_study.py*." ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "lags=pd.read_csv('data/total_df_final.csv',sep = ',',index_col=[0,1,2])\n", "lags.dropna(inplace=True)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Rtaurhotime
Unnamed: 0.1Unnamed: 2
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" ], "text/plain": [ " R tau rho time\n", " Unnamed: 0.1 Unnamed: 2 \n", "1 2 0 0.063110 77 0.379596 20.47\n", " 1 0.064491 77 0.379596 20.47\n", " 2 0.065823 77 0.379596 20.47\n", " 3 0.067178 77 0.379596 20.47\n", " 4 0.068361 77 0.379596 20.47\n", " 5 0.069243 77 0.379596 20.47\n", " 6 0.070035 77 0.379596 20.47\n", " 7 0.070769 77 0.379596 20.47\n", " 8 0.071682 77 0.379596 20.47\n", " 9 0.072152 77 0.379596 20.47" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lags.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time of the study" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Correlation max function of force\n", "\n", "First we look at the correlation max function of the force. " ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "593.77" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df=lags[['rho','time']].max(level=(0,1))\n", "df.head(10)\n", "df.loc[1]['time'].sum()" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 120, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rho_mean=df[['rho']].mean(level=(0))\n", "rho_mean.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's drop too big values of f to see more details. Let's also plot the deviation" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "rho_mean=df.drop([50,100,1000])[['rho']].mean(level=(0))\n", "rho_std=df.drop([50,100,1000])[['rho']].std(level=(0))\n", "rho_mean.plot(yerr=rho_std, ax=ax)\n", "plt.xlabel('forces per unit of mass')\n", "plt.ylabel('maximum of correlation')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make an average for each force weighed by the time of the sequence." ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [], "source": [ "def weighted(row, cols, w=\"time\"):\n", " return (np.average(row[cols], weights=row[w]))\n" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rho_mean_w=df.drop([50,100,1000]).groupby(level=0).apply(weighted, cols='rho', w='time')\n", "fig, ax = plt.subplots()\n", "rho_mean.plot(yerr=rho_std, ax=ax, color='b', label='mean')\n", "rho_mean_w.plot(ax=ax, color='r', label='weighted mean')\n", "plt.xlabel('forces per unit of mass')\n", "plt.ylabel('maximum of correlation')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there are little differences when weighted the mean." ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.082357099357977248, 1)" ] }, "execution_count": 125, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "rho_mean.plot(yerr=rho_std, ax=ax, legend=False)\n", "x=np.arange(1,12,1)\n", "x2=np.arange(5,31,1)\n", "y=0.095783*x+0.143866\n", "y2=1+0*x2\n", "plt.xlabel('force N/kg')\n", "plt.ylabel(r'$<\\rho_{max}$>')\n", "plt.ylim(top=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It seems that for 10N/kg, the increase decreases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Delay function of force" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df=lags[['tau','time']].max(level=(0,1))\n", "df['tau']=df['tau']*0.04\n", "fig, ax = plt.subplots()\n", "tau_mean=df[['tau']].mean(level=(0))\n", "tau_mean.plot(ax=ax)\n", "plt.xlabel('force N/kg')\n", "plt.ylabel(r'$\\tau [s]$')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cPHsYncAX3f1kYA5ws5md3K/NJcAJwWMucGcc6ztmpflZ3Hz+23hkyZs8+tIbMVuvrj0lIskgboHh7jvcfXnwvBFYB1T2a3YF8KBHLAJKzGzc4dY7pSJ/WOo9Wl949zTecXw5X318LatrGhJdjohIzCRkDsPMqoBTgcX93qoE3uzzuoZDQyWpZYSMeVefSkVBNjf9fBl7dNc+EUkTcQ8MMysAfg18zt33HeU65prZUjNbWlubfGdal+Zn8aOPnEZtYxu3PLqCrm7dG1xEUl9cA8PMwkTC4iF3/80ATbYBE/u8nhAsO4i73+Pus9x9VkVFxfAUe4zePrGE26+YzvPra/nBn9YnuhwRkWMWz6OkDLgXWOfu3xuk2RPANcHRUnOABnffEa8aY+2qMybyoVkTmPfnjTy7bmeiyxEROSbx7GGcA3wMuMDMVgSPS83sJjO7KWjzFLAZ2Aj8GPh0HOuLOTPj61dUU11ZxOceXcGWuuZElyQictQy4/VB7v4CYEdo48DN8akoPnLCGdz5kdP52zte4KafL+OxT5+T6JJERI6KzvSOg4mlefzgqlN5bWcjX3lsNZFcFBFJLQqMOHnX1Aq+cNFUHnt5Gzsb2xJdjojIkCkw4ujm84/nwhNH80b9fhpbdWVbEUktCow4CoWM7105k6zMEOt3Ng3L3fp0GRERGS4KjDgrzg0zbUwh4YwQH79vCf/+1DraO7sTXZaIyBEpMBIgNyuD6vFFfHTOJO55fjMfuHMhr+uQWxFJcgqMBAmFjG+8bwZ3ffR03ti9n8vmLeA3y2sSXZaIyKAUGAl2cfVYnr7lXKZXFvOFX67kc794WRPiIpKUFBhJYHxJLo/cMIcvvHsqT6zcznvnvcCKN/cmuiwRkYMoMJJERsj47IUn8OiNZ9HV7XzwzoXc9dwmunWlWxFJEnG7NIhE54yqUp767Ll8+bFVfOvpV3lhQx3tnd1kZSrbRSSx9FsoCRXnhfnvD5/Gt/5uBku37mb1tgb27B+eGzHpvA0RiZYCI0mZGVfNnsSTn3lH74l+//SrlZoQF5GEUWAkueNHFzJ9fBHji3P49fIaLv7+AhZurEt0WSIyAikwUkDIjImlefzPp84mOzPEh3+ymNueWEtLe1eiSxOREUSBkUJOmzSK33/2XK49u4r7F27hvfMWsPyNPYkuS0RGCAVGisnNyuC2y6fz8PVn0tbZzQfvXMh//vFVXY9KRIbdiDqs9tEbz0p0CTFz9vHlPP25c/m3373Cf8/fxLPrdvFfV84c1s/sOZoqnf4dRSR66mGksKKcMP/592/nJ9fMoq6pncvveIFte1t0Rz8RGRYKjDRw0clj+N/Pv5P3nDyWmj0trN2xj8Wb6xNdloikmbgFhpndZ2a7zGzNIO+fZ2YNZrYieHwtXrWlg9L8LO748Km8rSKf9s5urrxnER+7dzEva1JcRGIknj2M+4GLj9BmgbvPDB5fj0NNacXMKC/IZuaEEv71vSexdvs+3v+jhVz/wEu8sn1fossTkRQXt0lvd3/ezKri9XnHKpUndkMh4/pzp3D17Encv3ALdz+3iUvnLeC9p4zj8xdN5fjRBXGpQ5PkIukl2eYwzjazVWb2tJlNT3QxqS4/O5Obzz+eBf9yAZ+54Hj+8uou3vNfz/GFX67gjfr9iS5PRFJMMh1WuxyY5O5NZnYp8FvghIEamtlcYC7ApEmT4ldhiirODfPF90zj2rOruPv5zTywcAtPrNjOh86YSFtnN9m6Eq6IRCFpflO4+z53bwqePwWEzax8kLb3uPssd59VUVER1zpTWVlBNl+59CSe/+fz+fCZk/jV0jdZWbOXzbXNrKrRDZtE5PCSJjDMbKyZWfB8NpHadGzoMBhTlMPXr6hm/j+eR0VBNvXNbVx+x1+57IcLeGjxVpraOhNdoogkobgNSZnZI8B5QLmZ1QC3AmEAd78L+CDwKTPrBFqAqzxNz0BLlkngCaPymFyez8TSXN43s5KHFr/B/3tsDd/8/TqumDmeq2dP4pQJJXGpRRPkIskvnkdJXX2E9+8A7ohTOdJHZijEx86q4qNzjmPFm3t5ZMkb/Pbl7Tyy5E2qK4u4evYkrphZmegyRSTBkmnSO6Wlw1/GZsapk0Zx6qRR/OtlJ/P4y9sO6nXkZ2cyujAbdycYPRSREUSBIQMqygkf0uv4n2U11Da2ceF3n+PymeO5/O3jmVIRn3M6+tMQlkj8KTDksPr2OjbVNrG7qZ0xRTn84NkNfP9PGzhlQjGXv308l50ynrHFOYkuV0SGkQIjBSTLX9GZoRCji3J4ZO4c3mpo5clV23l8xXa+8ft1fPOpdcyZXMYVM8dzSfU4ivPCiS5XRGJMgSFHZWxxDtefO4Xrz53C5tomnli5nSdWbOdLv1nNVx9fw7umjqa+qY2SvKxElwpoCEskFhQYcsymVBTwuYumcsuFJ7B2+z4eX7GNJ1ZuZ+e+NoxmPvqTxbxragXnTavg+NEFmjAXSVEKDIkZM6O6spjqymK+dMlJXDZvAXtbOtjV2Mo3n4oMW1WW5PLOqRW8a2oF5xxfRmGOhq5EUoUCQ4ZFRsgoyg1TlBvm0RvPYvveFp5bX8tzr9Xyu5XbeWTJG2SGjNOPG8W7plXQ3NZJXlZGossGNHwlMhgFRppJ1l9y40tyuXr2JK6ePYmOrm6Wb93DX4IA+fYfXgMgnGH8w8PLOXNyKWdMLmXq6EJCIQ1fiSQLBYbEXTgjxJlTyjhzShn/cvGJ7NrXylX3LKKhpYOlW/bw5KodQOQqu2dUjeKMqlJmTy6lurKYcEbSXP5MZMRRYEjCjS7KoaIwm4rCbH4xdw41e1pY8vpulry+m5e27OZP63YBkBvO4LTjSjijqpSGlg4KspPjv6+GsGSkSI6fOJGAmTGxNI+JpXl84PQJAOxqbGXplj29IfKDZzfgDgb8/V0LOWtKGXOmlHHacaPICSfHPIhIOlJgjHCp8Ffx6MIcLp0xjktnjAOgoaWDD921kH2tnbR3dnPH/I3M+/NGsjJCzJxU0hsgp04qSboAUW9EUpkCQ1JOcW6YkrwsSvKyePTGs2hs7eClLbt5cVM9izbv5od/3sAPnt1AVmaI0yaVcNaUcva1dJCfJENYIqlKP0GS8gpzwlxw4hguOHEMEOmBvPT6bl7cXM+izfV8/9n19NxZ5aLvPceMymKmjy9iRmUxJ48vSupzQdQjkWSiwJCopcovreLcMBedPIaLTo4EyN797Xzo7hdpbuukqiyPhZvqeOzlbb3tp5TnM72ymBmVRVSPL6azq5tMHY0lcggFhqS9krwsRgWPn3z8DCAykb522z7WbGtg9bYGlm/dw+9Wbu/9nqzMENf9dAlTxxRy/OiC3q/JPKyl3ogMt+T93y8yjEYX5jD6xBzOP3F077L6pjbWbt/HVx5bTUt7FzsaWvnrxnrau7p721SW5HLCmIKDgqSr28lIwRMMFTAyVAoMGTap9ouorCCbd06toLIkF4jU39nVzRu797N+ZxMbdzWyfmcTG3Y1sXBTPe2dB4IkKzPEJ+5/ialjCpk2NhIkb6soSLqjtESOhQJD5DAyM0JMqSgI7iw4tnd5Z1c3b+5pYf3ORv7tyVdoae9i+94WFmyopaMrMsOeETKqyvKYNrYwEiRjCmlp7yInrPkRSU0KDEkKqdYbycwIMbk8n8nl+dz3wutAZBs6urrZUtfMazsbWf9WI6/tbGTdjkaeXvNW75FaBlzw3b9QVZbPcWV5TC7P57iyfKrK8qgsydWEuyStuAWGmd0HXAbscvfqAd434AfApcB+4Fp3Xx6v+kRiIZwR4oQxhZwwphBOObC8pb2LTbVNfPaRl2np6GLamEK21O9n0eZ69rd39bbLDBkTRuVSVZ5PVVk+bzW0khMO8ebu/VSW5OpijJJQ8exh3A/cATw4yPuXACcEjzOBO4OvIikvNyuD6spiKgqzAbjzo6cD4O7UNrWxpW4/W+qb2VrfzJb6/Wypa2bplj00tXUCcO6355OdGenVvK2igCkV+Uyp6HlekDTX1ZL0Frf/Ze7+vJlVHabJFcCD7u7AIjMrMbNx7r4jLgVKSkm1IazBmFnkiK3CHGZPLj3oPXfnA3cupKWji2vOqmJzbRObaptZu72Bp9fsoNsPtB1TlB3Mj2Tww2c3MK4kl3HFOYwtzmFccQ55WQoUOXbJ9L+oEnizz+uaYNkhgWFmc4G5AJMmTYpLcSLxZmaEM0KEM0JcPfvg/+dtnV28Ub+fTbXNbKptYnNtM39cu4Pdze1895n1h6yrODfcJ0AiYVLb2EY4w1izrYHygmxK87PIytT8iQwumQIjau5+D3APwKxZs/wIzUXSpkfSIzsz48BcSaDm7v0APPCJ2bzV0MqOhlbe2tfC9r2tva93NLSwuqaB+ub23u+77Icv9D4vzg1TVpBFeUE25cHXsvxsyguzKMvPpiL4Wl6YTX5Whu7PPsIkU2BsAyb2eT0hWCYSV6keLjnhjMikeXn+oG1aO7q48u4X6ejq5rMXTqWuqY36pvbI1+Y26hrbefWtRuoa69jX2jngOrIzQwcHS0EWZQXZhywrL8hmVF5WSp7cKAdLpsB4AvgHM/sFkcnuBs1fiAyPnHBG7+Pi6rGHbdve2c3u5kiYRB7t1AfP65vaqW1qY0dDK6u3RXouXd2HdvpDBqX5WQf1VnoCpaJPsPR81QmPySmeh9U+ApwHlJtZDXArEAZw97uAp4gcUruRyGG118WrNpFjkeo9kiPJygwxNpj/OJLubqehpYP65jZqG9uD3kob9b2BEwmbFbv3Ut/URnOfQ4r7KsjOPBAi+VmUF2ZTHnyNhE2kN1NRkE1RbqaGxuIknkdJXX2E9x24OU7liMgwCIWMUflZjMrP4vjRR26/v73zwFBY75BYO7U9IdPYxpb6ZpZu3cOe/e29Jz/2Fc4wyvIP7qUc3Gs5MERWmp+l+8Ifg2QakhJJe+neGxmqvKxM8kozmViad8S2nV3d7N7ffkjAHDRE1tzOhp2N1DW1H3TRyL5K8sIHei4FB3orfYfEegImL00n9nsuPDlUCgyRJKaAOSAzI9R7zsqRuDuNbX17L23U9pt7qWtqY92OfdQ2tdE4yMR+TjjU20upKOg3B3PQMFnk8vnpfia+AkMkTShcDjAzinLCFOWEmXyYo8V6tHV2Ud8U9F76zrv0mX/ZtreVlTUN7D7sxP6hR4gdcphy0LtJxYl9BYbICKWAOSA7M4PxJbmMDy5tfzjd3c7elo6g19I24BBZXVMbW3c3U9fYTkvHwBP7hdmZvb2TwYKlZ7isKCc5JvYVGCIiQxAKGaX5WZTmZx104uRgeib2Dw6XA8FS19TGptomFr/exp79HQOuIysjFJzncvDJlOX9DlMuL4jUNVxXPFZgiIgMoyFP7De394ZJz0mUdcHX+uZI6Lz2ViP1h5nYH9Uzsd/bazl4cn+wOZsjUWCIiCSJzIwQo4tyGF0U3cT+vtbO3t5Kz4R+Xb8hsrXb91HX2EZj29GFxEH1HfMaREQk7syM4twwxblhplQcuX1rRxf1zZFg+cdfrWTrUXymAkNEZATICWdQWZJLZUkuo/KyjmodOuVRRESiosAQEZGoKDBERCQqCgwREYmKAkNEZIQ52rP8FRgiIhIVBYaIiERFgSEiIlFRYIiISFQUGCIiEhUFhoiIREWBISIiUVFgiIhIVBQYIiISFXM/9GbmqcTMauGoLu2eaOVAXaKLiANtZ/oYCdsII2c7p7n7ke8x20fK3w/D3aO4dUjyMbOl7j4r0XUMN21n+hgJ2wgjazuH+j0akhIRkagoMEREJCoKjMS5J9EFxIm2M32MhG0EbeegUn7SW0RE4kM9DBERiYoCIwHMbIuZrTazFUdzpEKyMrP7zGyXma3ps6zUzJ4xsw3B11GJrPFYDbKNt5nZtmB/rjCzSxNZYyyY2UQzm29mr5jZWjO7JVieNvvzMNuYVvvTzHLMbImZrQy28/Zg+ZD3pYakEsDMtgCz3D2tjvU2s3cCTcBtuTQcAAAE4ElEQVSD7l4dLPs2sNvdv2VmXwJGufu/JLLOYzHINt4GNLn7dxJZWyyZ2ThgnLsvN7NCYBnwPuBa0mR/HmYbP0Qa7U8zMyDf3ZvMLAy8ANwC/B1D3JfqYUjMuPvzwO5+i68AHgieP0DkBzJlDbKNacfdd7j78uB5I7AOqCSN9udhtjGteERT8DIcPJyj2JcKjMRw4E9mtszM5ia6mGE2xt13BM/fAsYksphh9BkzWxUMWaXsMM1AzKwKOBVYTJruz37bCGm2P80sw8xWALuAZ9z9qPalAiMx3uHuM4FLgJuDYY6055Hxz3QcA70TmALMBHYA301sObFjZgXAr4HPufu+vu+ly/4cYBvTbn+6e1fwO2cCMNvMqvu9H9W+VGAkgLtvC77uAh4DZie2omG1Mxgr7hkz3pXgemLO3XcGP5DdwI9Jk/0ZjHf/GnjI3X8TLE6r/TnQNqbr/gRw973AfOBijmJfKjDizMzygwk2zCwfeA+w5vDfldKeAD4ePP848HgCaxkWPT90gfeTBvszmCi9F1jn7t/r81ba7M/BtjHd9qeZVZhZSfA8F3g38CpHsS91lFScmdkUIr0KiFz88WF3/2YCS4oZM3sEOI/I1T53ArcCvwV+CUwiclXhD7l7yk4aD7KN5xEZvnBgC3Bjn7HhlGRm7wAWAKuB7mDxV4iM8afF/jzMNl5NGu1PMzuFyKR2BpFOwi/d/etmVsYQ96UCQ0REoqIhKRERiYoCQ0REoqLAEBGRqCgwREQkKgoMERGJigJDRiwz+6yZrTOzh+L0ebeZ2X4zG91nWVO/NneZ2Tlm9hczS/v7SktqUWDISPZp4N3u/pFoGptZZgw+sw744mHenwMsisHniMScAkNGJDO7i8j1gp42s88H9wb4bXDBuUXByU49vYKfmdlfgZ8FF3H7jpmtCdp+Jmh3upk9F1xQ8o/9zhbu6z7gSjMrHaCmk4D17t7VZ1nIzO43s28Erz9pZuuD+xv82MzuiO2/jMjgYvEXk0jKcfebzOxi4Hx3rzOzHwIvu/v7zOwC4EEiZ/sCnEzkgpEtZvYpoAqY6e6dQdCEgR8CV7h7rZldCXwT+MQAH91EJDRuIXKWeF+XAH/o8zoTeAhY4+7fNLPxwFeB04BG4M/AymP8pxCJmgJDJOIdwAcA3P3PZlZmZkXBe0+4e0vw/CLgLnfvDNruDq78WQ08E7k8ERlErnI6mHnACjPrf4OevwGu6/P6biKXcei5dMxs4LmeyzeY2a+AqUPfVJGjo8AQObLmI7xvwFp3Pyualbn7XjN7GLi5dwVmeUCJu2/v03QhcL6ZfdfdW4datEisaQ5DJGIB8BEAMzsPqOt//4fAM8CNPRPgwVzEa0CFmZ0VLAub2fQjfN73gBs58Efb+UQuO93XvcBTwC+Dz3sJeJeZjQpef2BomyhybBQYIhG3Aaeb2SrgWxy47HN/PwHeAFaZ2Urgw+7eDnwQ+I9g2Qrg7MN9WHA/98eA7GBR//mLnnbfA14GfkZkmOvfgSXAX4lcSbUh6i0UOUa6Wq1IEjCz5cCZ7t5xhHYF7t4U9DAeA+5z98cO9z0isaLAEEkhwUT5RUAO8L/ALa4fYokTBYaIiERFcxgiIhIVBYaIiERFgSEiIlFRYIiISFQUGCIiEhUFhoiIROX/ANZa5EFmUlk7AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "tau_mean=df.drop([50,100,1000])[['tau']].mean(level=(0))\n", "tau_std=df.drop([50,100,1000])[['tau']].std(level=(0))\n", "tau_mean.plot(yerr=tau_std, ax=ax)\n", "plt.xlabel('force N/kg')\n", "plt.ylabel(r'$\\tau [s]$')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 128, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tau_mean_w=df.drop([50,100,1000]).groupby(level=0).apply(weighted, cols='tau', w='time')\n", "fig, ax = plt.subplots()\n", "tau_mean.plot(yerr=tau_std, ax=ax, color='b', label='mean')\n", "tau_mean_w.plot(ax=ax, color='r', label='weighted mean')\n", "plt.xlabel('force N/kg')\n", "plt.ylabel(r'$\\tau [s]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Correlations in the same plot" ] }, { "cell_type": "code", "execution_count": 151, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gabin/anaconda/lib/python3.6/site-packages/ipykernel_launcher.py:5: PerformanceWarning: indexing past lexsort depth may impact performance.\n", " \"\"\"\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 151, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "Rho=lags[['R']].mean(level=(0,2))\n", "ind=[1,2,5,10,15,30,50,100]\n", "for i in ind:\n", " time=lags.loc[(1,2)].index*0.04\n", " plt.plot(time,Rho.loc[i],label=str(i))\n", "plt.legend()\n", "bbox_props = dict(boxstyle=\"larrow,pad=0.5\",fc='None')\n", "plt.text(1.7, 0.15, \"Force increase\", ha=\"center\", va=\"center\", rotation=-45,\n", " size=10,\n", " bbox=bbox_props)\n", "plt.xlabel(r'$\\tau$ [s]')\n", "plt.ylabel(r'$<\\rho(\\tau)$>')" ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "tau 33.030303\n", "Name: 10, dtype: float64" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df=lags[['tau','time']].max(level=(0,1))\n", "tau_mean=df[['tau']].mean(level=(0))\n", "tau_mean.loc[10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test visually the result : for a force of 10N/kg, the delay is closed to 33 moments, it means that if we want to test visually we have to shift distance court of 33 moments. Let's test as we did precedently by generating the following figures : \n", "1. *occupation-map* generated with $\\delta_{time}$ at a time t\n", "2. *occupation-map* generated with $\\delta_{space}$ at a time t\n", "3. *occupation-map* generated with $\\delta_{space}$ at a time t+$33*0.04=t+1.32s$\n" ] }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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ESmoINr1LSfN2eipngZ58BlY6aDAqyEoreR2Vi7xW+sf+HK10kLPM6awctRyneA9nMB+NZ0wak4H+yUAbOamZzOajznYs9E9cgQaRuCKijKzpn1TT0njWdYfqEZwP+mekvH6HYiIa1OHLCSHwg019L9vwqaiRvnY02xwO3B1BgaNnwhEYmodg6y484faxHo4LF3nHonKDLy9UdEWtQsDFcFA4OwIXadFbNQtPdzPeroN4uw7SM8ENDOfi0MTXFytAWNssPF031qM5dODuCA4RxIqrCZdPAyDY9O4Yj8aFi5FHX46A+3bgCoERRuHsCOJRJJ6UW0rZHUXEyhc7dALOeD0e63mGyJtOWPUHukPPII54FHoeRKzTRDRFD6AHiXpn4W3ahe/gdlQiZPTg0UeTx1ZzUbBz/04TUWuZbkRsZTHNZzvPlNjdSv071AA2PU0KX5/RfNTBkdvCT6Q3Ec2kEwB7+Ac9boAXojGDiBIbD++MKJqtSWhq3ezLRkoPMNqRQbOp96UFZp1fbhHaLQqnsTYRzXebKX1kqVOMD17FBndHcIhBdC+xmiMQZSAN28Z6OC5cDBtXL1QUe+BHb2ETAi5GDq4gOBQhQrx2HqKUKwxcFDS+slAR0OGHbwmxDNZ+LoYHVxAcohCLMFB1W8Z6OC5c5IyvL1b4E0JgKN74LrJH4egIlCPEhMOPwBqmWTliQ4jm8DnQk+ceh/5ALIR5JimZkpFMc/K1Ga7NgUu08vuZQkUM6BsgguENINEw6uAu9NpZKW0CBC2+AsVe+10XeSVtmRYJ9R8rj10n4LxF66lTD5DJj8Ca+zk8iB+B1XbfacdvbSeTr0DYYdOfievXE/1H4ga9htjKhuMbMBJ6gPEQ/mE4/P1nE6m8D4QUkSwJ7/EcGiKljyH6D+ULhSMIXAwJ2oSZaCpGvH47RsdBtLKJYz0kFy4y4qzJUBuE/94MrRGXDhoN5J0aEhFdRNaJyKOJ8yoReUpEtiX+V+Z7DIc9dA9SORnV2YKK9Iz1aFy4SIspQcWJE+GhPdAaGby+i5HBaOwIrgbeAcoS59cBzyilbhOR6xLnXx+sETHiSDz5ZihntFHLuTjLDMfe0kIxOU1LdQvFoenpH4/hCHMedyiyBkvsnQ6ZTES9KdSQlTZK344mAiUVRHo6MQ7uwT9rka1uicVktMTnoIYsJqMS7kg/cAnYTlUK3WE5zmA+mslE1Gn2Gc4YKiK9iaiTNrJmTHNSQZlCRXgTx9GYImIYNrPQzOaj2ZtrOt+jbOmffFFD+TbXvGwubGlXbGwZUjdD6jOnNseY0smWVnbS44MhrzsCEZkGvB/4leXjDwG/Sxz/Drgwn2MYa2xc/wZXfuz9vPHKi2M9FHwTpwNC5663iUfCYz0cFy76McGvuP4YU7f24M6xHs3hh3xTQz8FrsWeerZWKdXnF1gP1KZcBYjIlSLyuoi83tramudh5g9vbVjHxtdf4apPfYRH/nTvWA+HwPQFAIQOuFFLXYwfXDnfXMHevmmMB3KYIm/UkIhcADQqpdaKyBkD1VFKKREZcK+jlLobuBtg4cKF40vFngOWLD8JAEPzcut1P+HJh2spKv0QvWEhEFQcc2KE5adHqJ1qjFpagaJJswjV76Jr71ZKph85Op26cJEGXzLXJvzuXTOOkIvRRz51BCcDHxSR9wEBoExE7gUaRGSyUqpORCYDjVm1FouA5u0/TXldrCS5Q0fg1CeINYWdll5/4MyC5vcmefAUPYRzuAlue9HCRRSVVBIr+zbxrlNZ+/IBJkxaxQmnnUosCmtW+XntOT8rz4rwvovDeH32O/Na7ssZItpqMqo79AfWM6eAKQmWUFK8gMbtm/FGuykpqegvK9LtMlfrSeoFJBqylRn+UksnjoxkGcJJp3Dk1lDTOZiEppxbuH6n/sBaN+LQNUQy9OHk+m1moWIeR+NxInE1YqEhhqoHGCluP5/ho504ogzKfMLtGxW9cXCGks6XKedoc/25mIyPBfJGDSmlvqGUmqaUmgVcAvxLKfUp4BHg8kS1y4GH8zWG8QARjUlTvs2pi5u49+7zeOaZD3LXTz/BwnkP4PXBhFqDqhqD1U/6+MeDgZRY/fmCrnsIlJTRsn/36HTowsUAuHSO8HZbnxBwMVYYC8/i24BzRGQbcHbi/JDFvj3CsiVxvvafdzCptglNg9raZs47/T9YcMQDAOg6TJhs8NIzPur3j95XUjllBgBbNm0YtT5duOjDt44zt6p/3TW243AxSg5lSqnngOcSx83AWbm2IcpA4hkiThkZJlAnN2KlMRx2l1bKRzm9ji39+71+W5nudZhPJlb2rzzv4ZKL7yQQsBtFe709nH7id9ix81LzXAevR1i/2s+8Tyf78VgoH+dtWNkgycCtBr32snK/JSH9EfPY9e42AqoXTdPQuu3JbbRwZ/KefEF7w5Zn5QwBkDHCqKOu1UQ0xSPYSvfE01NBYKeDnO30RJNLzkwmoqlmn+mpIk/CYz0aN4jEsqd/cvEsdmK0yzJhWLSNMgCdezYbKZ7mOY3BpXj6YTXZdgZeGAxurKE846UXdCoq9g1YVlpi/7y8ymDNS94B6+YLgWARmiZseGtzSvpNFy7yAUHxreN1ooZif2jw+i7yD1cQ5BmhEHR2TR+wrLNrmu3c64Ge0OhbTRx71EIA1m96Z9T7dnH44YbjzGnn5vXuwmO8wBUEeUZREbz4yo1Eo0W2z6PRIC+8+j37ZzEIFo3Nj+PIubMB2FE/Ai6dLlykwYWmWopfbR4GH+RixFEwQeckHkWyNLRPMRfN2HB6Weg0EVVakluXiP3ReT12HUFFwDStPPt04bEnP0mRX1i65FsUF++lq3s6a17/Pgf2XkrAYq7Z1iaceU6MUt/AY8r2/sGeIa3Sb4+HEVC9tnMt1EoZMHNCGbubOtC7m/vLrM8yJayHRb/iFF9O3jdT9jArR5/J7DM1omj6uladANi5/VDEWZY8d/LemUJFeDVLiImYkbUeIJfwD6PB+4+mjuDoKo3/222wz0IJjQbPP964fWcIlrFGwQiCQsV7z43x6D99vLv9UnbuMhXD0QFM5eJxMJRw2ntiqYWjhIllQXY3dbC9NcLcSt/gF7hwkQM+PNNcyKxtHqSii1GHSw3lGTNnKs57X5z9+zTiaWyl43GoO6Bx9nlRpk4f25XCjDIPzWF32+5i5HFstfCPve67NR5RODsCFYNMEfUs9lIjpW6VHLasyhk1NJTUCXzx0koC8WL+7/EAosGEGi9eL0Sj0NQkGAZ8+MI4n/6MQomdxrFSLIZjPJlGV+qzmIhG7FFDtZA9dpMWTpqM1hpd7KGIN+p7OL64BymtStuHlSrK5C0MdvNJZ4TRkGWLFHJslzKVZTIRTaV/rCaimcoyJ5a33odXtySmiUlGSme0PYRHgxpKaSfD7+XrR5u/j5cbc+trPFA6443GyQcKRhC82ZT88S6r0VMyco0LKAX76pDnXkReexN6eiAYxHvG6XzurPdwzhkz+eczQZ5/xUt3SCguUpx7XpyzzzGYMdN82TJlNhstHBXs4a2e4OAVXbjIEiU+jTs3ue7D+YQuiu8vHxqlWzCCoDog/akZx6EIgHgc+dPDyNMvoHSB6glQUQbRKPL0v/A++Qxzzj+XL1x+KVdelVQs94zDZKx98YZe7wpyQukglV24GATfOd7cOTb1DlLRxbBgKFjTaK4kAx5TMZ8tCkYQTC3RCOjjUgSAUsifHoYnn0dNrjFjRvR5Jft8MHkyKh5He/RxAIx//3Kqm/A4Q603SkPUS2/MwO9xVUkuhoZyn+kdv7p+HGx1D3EohL/vNHddEwJyaAoColF7VoNMcGYkc0BlKreEFHDWU7Fk6AcVtYSMONCA/tgTUF0J4e6UJqU4kZxtYjn6I4+gTlsJM0xnsqJAub0Pn93fIGbZMDjNLq2UrN8hJL09ST2A1nXQPqCOJnsfrckAsHp5NQAzvHEaol42HIywfHJiB5MhK1wmc1HnuZPrt4aO6InaG8qkI+hx6AGseoFMUUNTy5LnmSKBOs+jCb1UNGYQGURHkG2bgyEfOoKUa0fInNMwFF872pxiHh8FJfGhyuUP5b7cEBNjAO3lN8wVvsV4v70rlKrM1XWUJsi/nh/V8Q0V1bop7MaDws5F4UFPpBpZ3+y+P+MdriAYAcjaTVCRJNOfXrORPz/7Cpt370+tXFWBtvrlURzd0DHHb5K6rze45K6L3HHjMjNu1p93uEri8Q5XEIwEwmHwmFvgB55+iV31JhUze3JNal2PF3oKJ9LWCZP8g1dy4SINvvX62DlIusgeBaMjUPGoPTqmkYEEy0VH4GzHUmbTA2DXEZA43n6ggbZtu5nY2cm/Nr3bX3zZe0/B79HBMFARy4o6EkX8XrSe9r7B2PtwhNr2WEI/e/T0pmFaZ4PtXLfoBeKN9iinRqsjKZye9DlQpRW2oj4z3cZQnOpiZ6fJ1yfq4N1jDmsoq82/k+vv6o2lLbOed4Xtk0qmUBFO/UG2eoDB/AisiCbIv2hcEYllzlCWbZvDqjuC3P5wcVKN+d6ka6pQ+fxCHfdgcHcECbweSTpONRt+Xo9NzOq6f7/nUe5tamGzRQhccd4p+D2pMrYp7oO2dlhxwvAHPIoIeoRd7RlyQbhw4cAHZurs6ypMS6FbTswuFPyl83RuXZGd3f6tK3wcN0GznY8nuIJgGHhu3TusWrWKVYvORMd8mBeefDyaluaxxuOIoVBnnDyawxw2jp7o0kMucsd/v1OYguBwRMFQQ8RioKU37bQhA90DoKxBf/rKBFRvj3mtaKCBioTTthvrDfNfP78Xb9kEGuYs4bE9b/LBrmaaWjqoLnd4YSkD4gb+xmaMM5chE8qh19QTiJb5K9As1JHy2KkRzRIlVGuvt5XFGvYkjw/aldbxri7buXdCreXC9Cv/DTvrOHbO1GQ7ll2yk26JOM5tFI+DtrGed0bs92ilgzod1FCPo262SehziQyaiZqJJKihSCw1Q5kTo0Hx5MO6ayhUyA1LPEO+Nlfkq49DlQJKh4IRBBvDToJ6hGAxv18rU8ES6ucN/9y0lz30xEO8tdPk3pse/RF/q6nl1GVnsLS7m462GLGKCpTHg8RieBraEMOg5fTTeeeCD0KrNZ5Ql6Nl5/nAWLLoyKzqjRTKfBodEXeF52JwFHmFrW2jbyk0knRLLm1lW/fj8zx8fN7Q+sg3CkYQVOlRfGKZiDJ5TDhXVM5gbbYdQ4a6zl2HpWznW+sAWH7sYq646ALes+IEdE2ju6GRolfWUrT+LaQ3jPIH6Dl5GeEVJ6BNnsQkwog/qQBWHgftotu/EqVZ+EpNp6mtnfhwkrwOEQuqfbxWFx68ogsXwG+3jM2iIRRTvN7gmqtWBTUWH4qexTXeOKWaxbN3ONQQA1BDyYaTh3G71ZC13Xu+8GGu/cBKFs9OpJuMt0AcqNLgfScgH0zqAfz9ljgmHaQVWQRB0C4InAnilTfpaaw8flo7OsdEEPRh2/6DzJuanSLdxeGHKxbog1fKI7oiisf3uDvXIyuFxekDB6egYASBUobdfDODIFDOwP/OuhnCSNjMR518uaXM7/MmhcBAsGbvcozHqnsQr2N7mCFjmhZqRRJj0DvqoSXJ/Uf2bbfV7a1Lmox277eHmAhU28NaeMqS40l5dhbBWFVWQktHV7/ZqFUvEHGYizpDRbRb+P32sP25WvUCbSF7WZelbqaQEpC9HsBpIpqu3kDnVkRFARrRuKkjsF2XA88/Utz+eOC155VrrG8yn+94GE+hYKT1O7k+e9dqyEXWmD3Z3Qm4SI+PzDZ3Aw9ud6mZQoMrCFzkjO4eV1fgIhXLatzppFBRMNQQ8VgqZ29FBm/hTPRPxrqDeCjboGXgRjP17/BeTjEnteosDu6BeBngQTXuIrov6cQW2rXHdlnHrjpLd/Z71Lx2h5lAtWViz2A+2peFbfOeOpYsmGOLKOqkhjodtE27xXvYegzQ3JV8Bu0h+/Ow0kGZqCDI3gw0p4xgGSgeI/GaBdUtAAAgAElEQVRVGUoRV0Pf3heymeVY95UJbrDE7FEwgmBLrAwoS1/BGoXZOSePrf4qFaE0xwBkWm0ntT+vR6qgZjmiDCZ176OEPRmuGzlMq6lmX+Phm338QzM1lk2wh/z+ymLzBYvEFS82KJ7ef/gqK/+6ffQ80E+o0Thtis6EYPL7qCnSxpVZZqEgb4JARALAKsCf6OcvSqnviEgV8CdgFrALuFgp1ZqunT5USi8BlWFHYDUnda4EUsxJjbRlKkNZRjgSzYh1h+AINyHepKWQeBwvrcdLU0+c3gE2I35i9KIDQpUWIdQbI+wtoq5kBiyf0V9v1vrHsh93jqipKmdfYzO7DjRSPb0kb/2MFyyfKHxgRirlsb1DEYrB0VXCxhZFpR+mFQtnThHOnJKs/8D2OBtbDv2V6UVzzff99RxzEueCYg/ccELqJN8aNjgQgqOqNAylaO01Mxo6sb/LYHPL4SGkJ5cIi6qyXwHnc0fQC7xHKdUlIl5gtYg8DnwEeEYpdZuIXAdcB3x9sMYq9ChV8dSkL/1Q1pnTQfeo0aeGxJOkX4SAvaovOVFIwHyxe+OwoV2DhGlrZUBjXqUPZaGK1ME9rI1UooA5ni6i9XZqqGnqIlqnLmLXce+H46DyX3/F13Qg+3vIAS0dXVTnpeXxgU/OFeaVm5NJd0xx24bUCWRumXB0lfBGM7zbYdioCAGuP17nkrk6l8yFN5oM/rrz0J2EltbotEfyIwTmlAmfPyr5e3pmb5yn96X+Nm9d4cNQ8MN15q7E+n1ctsDD4mqdqSXmb++7r/bScwgHRl0+ycOi8WA+qsxQoX1ust7EnwI+BJyR+Px3wHNkIQhUJAKSIWqotW4mTt5xbUZ/hDzB1mcsQkdM2BIydwmCueUFIB5BHdzbXzW6bzvULgcRonu20rl9V39Z+/b9aJt3U83j9Cw4ntDy99D6no/iee5JSrautfUfKbYLpng4GR3VE3PsuqzmrA79hVUvEHKYi7b2RNOeN3bY8xtY9QKpYSTSZxbLSQ+Qiet31L35hOR93rIuRrdlSFb+24hrif8GccfYFHDT2hglXrh+iZclEzSWTNC4/tXouOHQh4JMvPu/9sZGnJc/dYrOBbPN7+ORHTFerBv89zrQGP6wOQbEuHWlD02E757o58frIjSECve7GEkMKghE5Bml1FmDfZbmWh1YCxwB/Fwp9aqI1Cql+jSZ9UBt2gYOA6zp8ANCqR5nQXEUCRQNes1gCG5eR/zZ54iefAaxM86l7YxzKb3/v9E724Y/YKA4GDgkLYeuOFLjiHKTXrh5XZzwCKwRuqJw/atRyrxw3RIvt5zo5Y2Dcf787qFnYvnKCOYlrvTDdcvMxdFTe2I8vXdkntc3XjIXHf9xjJevHu8jbiiufzkD5XyYIK0gSHD8RcAEEakkqY4tA6amu84KZXIyx4lIBfB3EVnsKFciMqBIFpErgSsBamsPPVnRFvfwbtTk2E8oy8+k6n3xOXjxOaKf+xKdl/47vm2bKHr2/4bd7qypk3jr3V3EYzH0AcJtFyL6dgG/2hxnZ+fIrxI7EgJhTqnwuUUejpug8c1XDo3Q3qXZRW3OGn00Tl234qfr8zNJ//xN89n/4GQ/PzjZz6/firC17fDdHWQy/P03zNX8AuCNxPFa4GHgrlw6UUq1Ac8C5wENIjIZIPG/Mc01dyullimlllVWVubS3bhHXcyfdyFgRdlff03x438iMm8xnR+5Ytjt+X2mXqOlYYBUnAUGXZJC4JtrYnkRAlbs6FR84+UImgi3rvChpWa2LjhcOHfkFgNfOdYUAndviuRNCFjx9RdNmvKzR/k4dcrh6weR9htUSt0J3CkiVyml/l+uDYvIRCCqlGoTkSBwDvAD4BHgcuC2xP+Hs2kv3lJPLNbRf645MmlZlbMpGMyvwFY3v1v2TnzsjwWZqXcxUY+AYefrjbYm23n0wM7+49CefVBzAoh53LEz6SvQvNkeRqIfSuHtDFHx+ham/fbPyNQZqFiEaMCge8YkYqVFxMLJH5wz84Cy6AiUw8Ip1NnRH266yxFjwakjqGtPCryDHXbhZw0r4QwjYQsNMUiMJSs3nC0P//1EEpLrX43mdB3QnzFPKZUz7/+NlyPcusLHzSv8/ZNRoWJxtZ5TmO10uORID5NLdG56rZfOUdwsff3FXk6apPHhuV72dEbYnefFwHhENiLwNyJyg4jcDSAi80Tkgiyumww8KyJvAmuAp5RSj2IKgHNEZBtwduL8sMFWMcM0TNRHgZdUipoDdczYuIWyxmYMZRCpqiJWM4lgUze1L6yj7O0dmdN+pkFFefnglcY5blpuroN+/c7YmI/8frM52910CNi9v906vMlzea3G8RN1uqNqVIVAH/r0G188pvC/i6EgK0EARICVifP9wE2DXaSUelMpdbxS6hil1GKl1I2Jz5uVUmcppeYppc5WSrUMefQFhrVMAWCZbxRuOSEEqpuaiQR8RAN+lKahbVqP8nrpmb+IaFGQ0p0H8L24ITefCWBSTWHHHTpjioYmwvWvRtneMTYrwHdaFd98uRevJklLsQLFk7uHN3t/9AhzZ3bja2OnuO3bmd100uEnDLIh9+YqpT4uIpcCKKVCIpLqrZFndNc142lNmlL6yuzWNf6KZFYwrcxu4S5+O/1iw1CpIKffQKYQE0AID4iwVO0HI/miKYe5Zqze7iHcW5/MPNa5pwG1NHncsScpUOKOpO/+cJjKg030+HzgSCjjf3sd0UXH07vgWIxNb1Cy/l2i82dhVA+wyrf6MViOA8WmjqPPhLTFQQU1dtnpjn0tSRfqli5HGAnL2J1mmFbkQr8MZsZ47nQvT+6JZexvMPSNxxhGeAkDWLU/zkXzvKxpHP8UkUqzYBiOGebtp5i/z2tXj4y+LN0Ys8F1q8PcdkqAiQFo7ClciijXZ5DNMiSS4PgVgIjMxXQWG/fYVTyT3cUzBq+YZ8SU8I7UZvaMHmFUtraasYEsMjscj9MZM2kQ79tmYh2jsho08L69c8B2hgOloKXOw8sPlfPcnbN5+o4jeO7O2ex6rpZQkz/XTciI4daVpiB+ZoRMEoeLx3aZ38ktKw+/leiKSeYUNFJCYLgwgJaw4mtL/fjGwSbtI3M9XHRE/i3zsrnV7wD/BKaLyH3AM8C1eR3VCKHNX0mbr2LwinnGBs2khI4ijUI3D6hobyfqMO18vb2dZ5ubiSRyDkh3J/GpMzFKivBuHVqsomg4JVgSYG60Xnu0jIfvrGHLq0V4/AZFlRE8foPGTRVsvH82e16oyZhoLl/QRLjuxfEx8fTh+pfC6KO/0R42ZpQOb8wfPsLHpqbx5eJ72+sJimhlBiZhlLC0Vmf5pHEgCJRST2GGhfgMcD+wTCn1XH6HdQhilJe/WjzeHy0UIKYULVGTvvHpJo3l2Z0IUaFrSGRoHG88kjqhKgVr/lHGWy+UUFYdo3xiHN2rEAHdqwhURglURKhbV82e1TWj+mguW5BIrM74mnTjyhzPx0Zh9TeSmFI89OfYd+XvN48vQXA4IhvPYgHOB+YopW4UkRkislwp9Vr+h5dEqLEdY/vu/nNPkV1a+yuTAdD8FYmV98nHgVJE9u6w1fVUJINwaMWl5AUJncFu3dRXLGXgmD/xg3Zb/FhTve08VJ+M9Bk62EZfjuXQwTYiXcnJ2xNw5Dr2efF4NJSmIbqw7qCpT5hbWozuS9aNAh3lU6no3YUe8CE++3NVetIsNzrA6r23uwutuNKWkaxxv86654IUV4UJm579dFtCTxsJvYJeEmLf2gr8MxoJVI3OCn1xtc6q/bFh8cgAPg1OmWyuo06dovNuS4zhbm5eqYtx0mQPD24rHEezIyuGzp/ctMJprDx+cO3qMLefEuCC2R4e3XnoC6psvsVfACuASxPnncDP8zaiQwzNWillavRpiM6qCjyRpE5ib6gHgKMr7Qphb91uPO0dRBfMHFI/sZ6ulM/Wv+hHNFu2zgEhGiCK1i05RMcaBr5zojnxDOeHff4sD7efEuCmlQEWJKI7zq8QbjslwO2nBDh7+tBjnv9tuzmubywrHF3B/BwiXDrh1YVfbRq/4R22txucNrWwdmhDRTaC4ESl1H+QCJSfCBldOG/qOMA8Rj9+f9uEakQBStHcm9Ttaw4eWu9sRwyD+OK5Q+togJX122v8BEuTk208HqOrbieRrtRYR97iKG3vjo7neLF3eHTQLSv9nDnNwwv7Y1y7OsyD28x7fHCbef5GY5xzZ3q5eZgr3crAONBSZgmvJrbc1dlCEjvbrW3jNyLr/2wcv0JqpJGNuIsmgsf1WQ1NxBnneRQgmhBuT05osQZ7SGrNYkoZqEzQGyebJn6N67bZ6garkwlugjX2SchroZzi0fQrRzWIlytAd8kEmDOLUMJCpw+6N/nYNZ/dI9qkf5LoaU56U4eaevqYIUJNPfhKktdqXvvKzBMoort3MmV7G1hdb3ornzljEt4iX5JWMwz09i72n3oqvSecwqy2rWjF9uQ/hsWb2PmDF68fFe3FUBC1OKX1hASKVP9LohR07NyIp6iciceeDpawCqIr4hHvqEXk3N4WH1Jfd5wWBOCaVT1p6zywNcoDW6PcntgdDMUSZm9nnOml4y2TUmYMxXT08kWFs5acVaaxq2P8CqyRQDZLj58BfwdqRORmYDVwS15HdYigrXIMTVdFaJ07g9ZpNUzBjBJYG/CZs3Isjt7ejd4ZInzUHBo/+EHagxNy7kJLE9bDH1QYMbHUMwVfLNSeUlfFBd07emacq/bn3te0RAz77W3ZXbun05w0JgZz34G8MITxjTXae3MXBLkkTRlrnFBbOGMdKjJFH52tlNqplLpPRNYCZ2Eq+i9USr0zaiMcITR/4AqMkuRqd+qz96NH88vdd1ZOy2v7g0ITvtUZ4nnga9XlnB6LI9FeNF0nvGAmkSNnEK8sozzSOkRB4GOgaWvhsjDPP6VTXD3AjspBJUW7fVQuaEqtN8I4vsb8Mb/dnPtEe/USPy1hg1++mR1VcNeGCN9a7ueapf6cdwXrmww+gZlt660CyabVEh7aON9oLAyhd0Ktzp/zrMAP6HDjiiQbUd9t8ON1o0dNZdoR/AX6cw9sVkr9XCl1VyEKgZb3X4ZRUoa3fg8T778TPdzN/jMvHfzCEUBRV/4nuUz4/ZZd7AZWfuh06s49iQPvP4W2T7yXnhMXE680BWN5eIg6jDR278eeHEYZYgth5Cky+4p0Jik8ZQAKKo/Mf8iNhVXD491vfS03H8rv51jfieGOdzQx1LwNm4YglEcbfbu7fOPGFQHaehXXrg6zoy3OpGKNrx4/evRZJh2BJiLXA0eKyFedhUqpH+dvWKkQTTIG7LWaUva0mqswHUDXiZdVYdxzD+GtW6kHivb8gPjXb2TfrBOpeNGe39dXmgxd4dQRWPUCRoayfhzzQeJ79tDwml12ahYdgSdg/7L1oP28ty1pleMr9hKzHOu+5JbVE7DTNJ7iANtaklRM7YxkTodgjd3JzkjoF7TSigF0BBadiWM1byQik8YNZVNC10w1WLCyi60vl1E6MYqmQfmU2TS/u4Fw42785dUoA3o7Akw8tonghAiSaCuTWedw9AgTgyM/sWYTfXSoY64JyrjIZCba4PRWxBiaEr4QsoM1hBQz8mRh3ofLFpi/3VvWmIuHX26KsrAqzhWLfKMWpDzTr+MSzAS6HqB0gL/CQGKCUvX1KUVqBLKBDQY1hMieI4UrHnoegP++6D0Z62UWsZmuG3gCEIFj39vGkSs66Gr20NnkIVg9AxC6DzYSbvPR2+5n4rFNTFlRn25jMaLIYj4bVygkJ+NcQ1D33do4kHODYjTGWDKANdv+LnPeGK3XIFM+gi3AD0TkTaXU46M0nhGHikYRrxftP/8T43vfs5Xpr76Q/wH4xsZpRilFQ7dp4fKBQUxDYzJEZViG+BCaDsed38acpd1sX1PC22v8mCrrbiYc1ULVwlaC1aMXsiocK4BZx4JCGq83x81W350FCsBEPzAKeuLn9seYXW5nAr58nDlvRA2FdxRWMYN+FeNFCGi6ZqaT6j/P/uH0/te1+H90O/odd5jnic9Dq9fhjJQTrAz2H8cdSVJilsTqzjJn9E+Aos9BuGoKHWvs3sOa5ZfjDdq/AifFUzQhOR5fiY+QJI91C63kdXha/+8mM3zE0mk1KSayPkfGt/Yi0/tZK6lAeeyCy+pZnLI6SggCXRP8HvtsUFFkXlc5G2bO7mLWGV3cc4mZxmLBWS8imgaYdbosL3pKEnhrsnhHVtNcvIP3dBrMqRj6r3pehca2HGzejxiGxy3AnnGSHCUbeiqgD40Cm1Uq7MuDWeZwKTUrHTanPP+6mncSRgF9UVj7cMNLYb5z0ugsJAtHIzUMSCxG5OqvEr3/T6imJmK/vJvI1SlqjxGH6uhEm1A9eMU84PtPvgrAPR8/Z9C6TRQPqY+Mmd4GQM28owFofPvVIfU3HLzeYI4119UrQGfE4MpjcvtB/tsxfroiuU9IfSvQvvEWAoKeoa1YT5w0/s0yS31C2xDMY3PFtavD/OGdCM09Bg9tj3Lt6rAzenxecVgIgj6oV14l+v1bMN7ZPCr9RR5+dFT6caK+M7nPqSkdXA8SEQ9FQwiRbURyo3YWnn0RALuefyjnvoaLPsXkh+bmbolx4yvmffY5lQ2GvnrfeyV38+QLEwlaWsLjY0eQDSaV5D6NNIYMJhWPf0EA8MTu0Yk1tLHZ4AdrI7xUN/qLgKy+QRFZKSKfEJFP9/3le2CHAuKrXx6Tfv/tEVNJ/N3zVmR9zWQ6c+/IyO0HMmeFuTup37Aq975GCCdOHtrks6vd/HF+68TMoYm/fZJZvm+IZodLawuAOHegfAhWjk+N0uQ6ElhbIP4Ow0E20Uf/AMwF1kO//5ACfp/HcaWOQxObuaSVrwcQq85gGL4fvR3JVW7bbrsnbGtv8oXodpiLRhy8ZCLAJiuArWE/4f1JqyWfhYMs1u2yuNzBXdQuTqaEnLBoUv+xt7TIZnrqK0vSOxsbTLv8/3jfSkTElr0NQCtPpauqSoNAEOVxRh+1ZChz/HZV3PxAIEWhVebQdVSV+AG/5Tw5dt1ybZfje41anrM4nrGTC86YJczyWLMxiXT28fMNEfw63HRykDtOC/J2c7zf4UsXuGS+t38S//ZLPfQUzjw3bFT4c98RrD8Y55ML8zCYEUDfdz45EWJ7PJjx5jyGHKtns/xYBixSw43bexjjmN/8gNfee/mo9PW3DVsBmF5VRjYZRd8OzhlWf5p3aMosIxZNG6IiX/jbu1E+coQXn5aSvTMr9MbNWEOfXOjjuIk6i6rNhclF88z7WNsQ44EtQ1+F9OkH/ry1cIKdNYQMaouGzjB/+Xg/P1s3PhMefnVpAOMwmfay+QY3AZMGreViQKz52JcAmHhBZlv+4WJ/exc/fGYNV/3lXwA8+MWLsrquV/MxzTf0yUsPlgxeyYIZxywHYM8bo2C668Ar9eaO7sZhRge9750I16zq4e5EdMp7NprnwxECAN8/2dQtvFZfOFTElmGEwXh6T4zppeNTTXnKVFMqf/fl8ZXJLl/I5luYALwtIk+IyCN9f/ke2KGCWLvJvc++Kr87gu89/hI/eW5t//mmfY2DXtPgNSmiycMRBIHcLI6Of98lAGx55i9D7nM4uOHlcEoo7vGE61enj246HrG1dehC64ld5nt30hD1NvlEn1HB4ULxZUMNfTffg8gG4vXY/AgkBz+CnPqxtGvVSQB0h5ITZr2Dy253pO8KWzi92evfYdJxC9kWE2I9vTbpW+Kwv59RZKdLShqT4bZLpyTDTfS2dVFsSSYTiht4KyahNJ1Yy36u//vzXHLWMsD0D7BCKzJ1BgdkIiiFFkxO5nEn1aMlX5GBtsmeQBEiEHDch/O8z69g2Znn8vBtcGDjq5QmPIoyeab2WPw1Ig69jFMnYNUhpOoPzP99X9NlC7zcu8X8DjOxnpn0CX3Um2iSUi9XTvfTibDMA2WBG8/Y2T78AX90no9X6saPAOxLWr+jvXB2ZsNFNjmLnx/obzQGN1zEr7kG4/rrx3oYPPHFG4n1RvjkM7/NWx9dvRH08hqKF50BwFXnnZixfgumUjhdCs1sIYOlIXPA4x37OPQPbI1y9ITxtQo9eoLOH98Zn1x5JgzX1r0vv8OCyvFDEd18SpBoXPHfG8ZeV3P96nDGHBgjhbRPX0RWJ/53ikiH5a9TRDrSXediYNx3pkkNvfcX385L+x3hKJGDu2lffR8XL1/EV95/ctq6Bylip1RTqsZ2FRbL0Q9hpLDuoDl7/eDk8ZEzt8/voG9chxt2tsf57NF+jp049sL5qkRoh+tfPDx0A33IFGvolMT/cRFgTvd6wBK1U/c6ybuh8dyaw3zTGrrCV2ynabyWDGlBx3U9cTsVEB6AGnj4U9fyoXtvp3LmFDr2mCtxn4NScJqhtjckncPKHBnKSkPJibwrEsUItbNs7jR+/vkL0UuSuYmtEUUVsEfMEBMLimNAmS2shNLtK3Yl1vtMbpU7Wszw2n3D9zp2BkWOjGkl/uR3N2/56Wx77Xn2r32WY876YEZqyGpa2uMI6xFxhKOIa5ZwFIPQRt94OcKtK3x86Rgvv9gUS3udE9kaz2Vronr1cebzvnZ1uP+a8WCumCtOmqzzyhAdoX6xIcIdpwX51EIfGw6O3eKktkiYUabxw9cPLyEAh5ln8Vijbcde9r20jgvu/xHe4pGNfFpbUcqUqnIe+PLF+L3pVT/rgvPQUZxQNAQHMgvamwZXRqfD0vebCuM3HvvTsMYwXNzyeoTppRq3rhgbuur2UwJMLdG46bXCn3jOnTk8U+BrVvUQjausvbdHGj4NvrYswJaWeEGExx5p5E0QiMh0EXlWRN4WkbdE5OrE51Ui8pSIbEv8H53M5eMEz3ztdgA+9uSvKaoZuThEz97wGV67+QvUlKc353wjOA+AJUVdaetkC8OII9rQtvJzl50KwN633xj2OIaDzij0JnZyn5o/uh69Hz/SnDh744qOsaeih4VwTFHqG77xRh8d84NTM3tvjzSKvaZeAOBXmwr8yxgi8rkjiAH/pZRaBJwE/IeILAKuA55RSs0DnkmcH1pQimqinE4Hn+cgX6KBz3OQ0+ikmhh/XGmuiC/8+13M+uh7R6RLEaEsmJ7z7hcCPdtGpD+AQGXNkK7T9KQA6WptGtOcDd99LcovNkY5qkrjuiWj4+D2jWV+ltbo/PLNXr71cuEpiJ34566RS+N4zaoeNJFR2xkcX6Pz3RXB/r4PV2QTYuIq4F6lVGsuDSul6oC6xHGniLyDGZD+Q8AZiWq/A54Dvj5Ye7rPixQnVwqxsP3lc3L92cJphqpZuG1/mX1iLT+Y5OujDq64J2HaKEqxJN7FHLpQQCc63ejowGJCHEOILVLMQ6d+gsVXXcZRV13Ggs99jJc/eCUAZQ6zS+vwQk0hvJghHUJNIcLNSZ19fJZdZ+JNJN15p+QIwh7zeKnaD4EixOcMI2GhRjT7KzEQXd1HC/nLqvo/c4ahznS+ZVUyK9xPLj2VJRd8gnO+8E3zPnLgx3WnfsWiM4g7QlZHsYSqcFy3L6S45Y0o1y/x8oOT/Xzj5fSrQqvM6ndHEEnx4k6nS+gLNXzza720p4lOmksIDFufY6RbePFAnAuPGLn2rlnVwx2nmaE8trTE+NWm/OQLvnFlgKBHePlAjL+9m9+cxOMd2cyetcAaEXlQRM6TbOIWOCAis4DjgVeB2oSQAKhPtH9oQCmWxDtZZHTThk4bHuIIIMQR2vDQis5iFWK50cnG//cHXjz//0MPBjjlqd8z9eL3jdhQ2rxlrKs4hrCniICKmkJgpNpuahjytfFYjIfvtCcIaqvfN9whDRtdUbj+VXMyuHWFj1tX+Iacuc0JQXH7KYF+IXDt6nBaIVDIKBpBdu2aVT00dseZX+XhjtOCzB7BvABnTjfbDHqE614IHfZCALJLTHODiHwLOBe4ArhLRB4Efq2U2j7Y9SJSAvwV+IpSqsMqR5RSSkQG/EWIyJXAlQC1tYUhKyqIscDoph097RSiENrQOUqF2EoQFYux+pxPc8RXP8vsz18Cn0943n7iamJtuVnpKuDA1OPpqJgKQCAeZmHn1gGDzI0VdI+H4866gFcf/ROTr7iLxvuupbx2ylgPqx/feDnCpCLh6mO93JIIRfHA1hgbmnOnr+ZXCJ9dnNxV/mx9L/u6Dj0B0IdPL/LxyzdHjmO/Y63Z1jdPDPDFY83n+MK+KI/syN3d16fD91cG+r3K1zXG+OPmKKOXDHJ8IysZnpiw6zFX8DGgEviLiDyllLo23XUi4sUUAvcppf6W+LhBRCYrpepEZDIwoPmJUupu4G6AhQsXKk/Ah2alhrrtlha6z8K1dpMRVhrJ48iXZ80Y5sweVmmJTMpBe26ziKE4OtKJRxN8mmajKZwsQcCj4TUMluph9vtMr962u35L918eY84vb0G8Hub/8U4Awr/8Nca6DYl7TNJWuk8n3GqOIT5xElvmn4vhSVI8szu2Ux7rRAESdISB8Nv5V2sWMuVQAKebtkTElgdYd2wUndFIrZ7GF/7bf7HhX4/R8sRdxMNdVE+eRjBxb3FjZJaVmSimuOMLcU7xDWFzd/DZBTpzyzUuOdLDJcDeLoO7N0WJqaRHMZgmtJomGIbCI/DphV7mWxyktreb1wEDBgIcqXiOY0kpxQzF3GFkgMuEm18Ns6xW5+PzfZw6zcup07z0xBT/82Yv+wcRrAurNC4/ytf/fsYMxY/W9tLUc+gK5KFABnsJE9Y+nwaagF8BDymloiKiAduUUgMmxE1QSL8DWpRSX7F8fgfQrJS6TUSuA6oyCRMwBcFvfvObXO5rTHDkN79JPBhEec2JVQH79+0jHo8zc+ZMW12JRtF6eth2880j1n/l3hj/V+UAACAASURBVLeo3LMRgLKFC/o/90yZZaunlU+wnRuBpM+BUWQ34or6klZIHb1xjHicvdvepnbGbKKepAlsqyMoS1PIvjJsteh02sMxnnvwf/nrnd8H4KLrf8ziM0xarMuh+7GGpQ45/Agy+RU4BYGtzCkIMoSmACjzwVeP8eDLIaxJXCluez2SlUXQWAf2HQlBML9S43NH+7nuhRBxld9V9ntnejh7mOaqhwtWrly5Vim1bLB62Sy/qoCPKKV2Wz9UShkickGG604GLgM2isj6xGfXA7cBD4rIZ4HdwMVZjIHqPRtR+/f0n0fa7Mv+cFtS49/b2Yu/q4vKvXupqK9HojEMj4e2SZNomTqNaGlJv6ZPd+wIPL70q5qu+qTZZWe73dqjJRJn+ptv0+0LEFUGG5ob6IqZs4AuGp79Lf2rwYAuoBTFkTB7v/UjWztljv79ZZa8xBXFyEc+glZaSuzGGykvT/7gapfNSzvukUT9nh0ABIpKiA4jvsCpH/kUL/z9Phr37BhX1NBA6IjAd19PxCVKTJqawFFVOp84Uucv75rUUaSAEs6PNLa0mu/CF47x8/M8h2Z4YncsJWvYhKDw9RMCdEcVj+6IEooevt8FwLQynXNmZL+7zkZH8J0MZe9kKFtNegLurMGHZkcg1IY6mFQqqsY2W/nv1mzlhboG3jt5Ihd19jKtrQ0lQtTjwVAgvb1UbdlM1ZbNtFRVU19Ta1p7OLyHtWD6RxLfkeyz10ENtYdjNHS386bRgPVnEEBjlgoSPtiS7MOjoSlFCIPuNzbZ2gk6qSpL8nrK/HD++VBainR2QnkZo41ob5ji8orBKw4C3ePlsht+SP3u7dTOnj8CIxtdGAoOdBuAzq5ORezwjA6RglnlYxMmoo/q6Y4YBZXvOV+I5+gZUDB58XxlRUh1ksKIh+2rjtUNjbzW1MJxTS3UATu9XiYFg0z1etEAJUKvzw9KMbGtBc2j0ThlMr4SuyCwmoxaM4ABxC0r4D7dQtQw+MneXTzeeZB/B84HDgCz9QAzdT8ikrL192lCwIhR7ytlSrXdw7hogp2/D1Qm9SL+Mj/dCa69bFoZvuLk+Hrb7J7CRii9otkZRgJLFjLE/gINxBpMmDzdrGoR814HbeI891v0Mn2mpPOPXcL8Y5fQ1pOkg5yUzlDNSZ3hJzK1aTU1tYapgMwhJ/o4eTP6aPZOOSnhL3IwxMsHjTSUjG0DYW+nMW7zC7jIjEPmW/v20qOYr+tcqHupnzCTRnTWd3Swp8fhJCJCr99PVXMz/vDQnXl29oQ4f/0azl2/hsebDwLwFHC0L8h5RZXM8gTS/8CVQlA0+HNL6jLWiI5RkDgXhYFHtpsCvcLvWuIUGgpmRzAYphYH+dGUicT21qN8QYyoaVVUrA+wVRVBIVS0tNA2KXt6RSnFvbv2ctc2u9XsOVXV/HtwEj6Eju4WJve0E1Ee1ACCQJSiSMU54C8lpHnJLa3L2OLAjq1jPQQX4xi7Osxd2DeW+/n6C4UfP+lwQsEIAr2skuCkpCerciQpiUdinObVWV0cpPfA5v7PX2lr47xJtQQ9dtNLfDpVPZ1Ea+zBVb0WE1VP4ripu4cr/vQ0b9Y12er+9JQlnDnV9HEINZk6g5CqonN/HVX1jYAi4vGaOgql8MVigNA6oZaumlomiqR4L1uVw+Z5cjy+siJ6PBoGUDK5on98AN4iO6UUaUnqMzztzbYyT4U9NIRh8Sa2JqsfCLUzZvcfW7eTzqxfzmikXgs15DQtDVq8uVMiivqS4xkObZTpOlufTkbJuWe2jL3PBUZkcHrFSqlog9TNSEdlSSPlyxJpsPu8e2OEK4/2DTtRj4vRRcEIgndL5kCJJdH6AEarE97Yy6J5i2l96SVKiouJRCI0t7Swu6KS+fOTCskYgFL4Dh6k5Ypr0va5atUqrrvOHgppwYIF/PCHP6SqyhRKA7ksNChFW309FS+9RNkbb6CHw8QDATqWLqVtxQp6J0/uf/BOtVZokPOxQjhBsQWKCovOcjG6eDeRsawqAC1jsCmoKdbHLIJpIaNgBMHMrt1o7cnQBj0H223locZWtPYmynraOXt60hyxq7KcImXAlqSBk+7VkXgcojFK/3E/AJ3vu5TSf9xPXNf45hMv8tgrr9vav/b9Z3LZsmPMFdnrTxNpNyfG8McuR9uzE+PJJ5OVlSLW2Ea87gCqsQEjGsPw6LBkCZFf/S+xijIQIW4YdGsGTaEQjd0hFtdMpHaCc4diMR8tGt2ojFZs37ZlzPp2UXi4blmAa1ePriS4+82R0WFdeYw/q7bOmuFhboWeVd0rj/Hz7N4Y2xI5nrPtY6io8AsXz88+vHrBCIKieAhP2GIy2mGnaWKNDfROKKVoTx0xldzPlwKq1/7Axafj7emhY3IN3gbTJHXr1q18/pafE7VEFSv2efjb5e9nQY25+u89mEzrGG9O+hRIOITs3mWeKEXN/jrK6xpBSFJDkQgVL79M2ca3+KvAN3t6aIlGURbf3U/MmsG1yxbaxup1UENjiapJU8e0fxeFgYe2R7lw7ug7fG1rGzkb3mzaWj5J5dRvXbdhqzuS43ViYjA3hX3BCAJ9whS8Fr641G9fHXuLA2gTy/E9+Az4PWDhqJWFA+7ojfDq/oMsCvjwn7SQ32zZw+3PrIF7/t5f56JTl/Ol79/OUesfsfVhzc/bFzq5G9B9Hrxlpmlq9c59VLS20O3399tX9mXHik6cSMzr5YjWZj6qFA+cdDFGTwddG/5Jmd/PBXOnEKi0T/b+iiQVY9VfAHiKg2nLrOdGp93nwmizR/UQv2UX4vAsVkrR02MSVKUVVaSDMxJoijmppdyrO/UHye8n6HCoi1m45aBvZF5Xpx7CZwl/MZgeIm7j+vv+C5qWql7IFk7+fDAdQh9GQpcAI69PeKkuzoVzvdQWSX+Sl0KLqHq4oWAEQTYwqsuJHHME+mtvEy8vsgkDgMbuHlbv3M8kQ3F7V4i7f/FXW/nvLzufc4+Zh6F5iG98Kqs+K/7+ayQWpQfwhXoor2skEgxAT2pgrJ41a3mpvZVupfgQ8FJPO++8s4qaoiB3n7qUWaXj04Zo57vbcppYXLiIGYr/WuIfdXpoJPDjtdmN+bGdUf61N7sAeD9eG6Y1rGzn4wmHlCBAhN6VRyOd3QS37AGBeFEAFOxt7WDnvkZqPX4emzKXX+17G4Cl02v57SfPo8qyutaMGFq405YjOR10y2q7rL7JNBl1TJodsRjPt7XYPjOAkzc8QWdpCf9z6hImFY1vBdfCxcfQHXXdZ11kh+tf6u0Pu11oqOvObhfS1gttvdnVdbaZbR+jhUNLEABoGt1LFhCeO43Au3sJ7Kpjb0MLm1o6+BfwwrwT2eMrwtj3NsdMqeGRKz88Yl2XNLUQ99kVNPW9vbzWnhQWC4qKWVBRyt6ubi7tjXDJGSdQ6R+bnLnZoL5u5PIYuDj8cO4MnSf3uCEfxjsKRhBI9VS8FckYN84Y+3plkvcOTk1MvGeeBMANP/oDf3lxnVlvy2rKioPMnTyRy885gfK5DgVohjy8moWj1n12ZZhoGj6PRqzYb9sR1Pg1pkd7mV4cZFLQXCHpfg9zirx4e8I0zLLb9Ft1AgC+siRdlKIHsFgRaQF7mW7JHuZ8VuKxCx4JJy2wlMXb2TAMWpqaqKgcWDdgpYucSVxS/AosOgOnH4E1/ERUt7fj///bO/MoOYo7z39+mXX03erWje4LISENMAjQwXhtw+wAxuMZdjw+hjGetzb75u2szc4BSA8WsBkLbK/XNmuzZgwzrI2N7TG7xl4MxhjMgCVxCQkJHS0k0C11S+pWX3Vm7B9Z3RUZ3VVd3eruquqKz3ugiozIzOio45fx/f3iF3n1e8con/u6gnypKUz6/gxHBFfA1f7GoVJdF0o+jTyfLyGf/8Akn+x3Lv6Dba1prp4b5rlDadIjvMxIfQtg/QvDoWwMwbnwtZuu4e6PfoCmump/X98x2iPXC7n+tbXVzFHX5bIpTQPaiqfwBlv1XEJs3XcIgPNmzylyTyzlyGN7klw01WXjuvEPJbUMjwmTaygfzXU1zJ/WRGNNnvw/o0DvrGm4BeYvCsXjdM8onZ3DchGJRoduZLHk4GSPlYXKgbKZEXj100hJ9kMlNUG5IjxZy2nfa2biDJZVUstc6hkfVG22oFLBDKdOTTbMMjopGJIZnVTXH77qNdYQqsn+gCpjBiIZKSH0vkuYNDsoDYUGhIFmnchSFYwq0jehd4xdyJymqf2v3frgjMSL1BplzVGt/L6+3uLPBi48fxHgJxOLOebHJTv1Nu2rGT6qS0UDwke1KbweSgrBcNKB0pBrlEcmBehykB5KOvg99b6qzL8OkZDRdqhUFRqjNT8drTQWOucahvrVN5J8+UqXL185/rMCG7JaOGVjCHa27O9/fcniOZSiqNIXvhrZttePVnIG+fZ7Hm5XL7ELF5KeVF/SU7J50wZKWhbLcHliX5IbFtsdxcaakMDGPxhZ9GHZGIKFc2cRzWTmcQb7gS0FMuGrAKE3dvtpJGqq/O150h5uTwwUxFYspHfV8oGP0SXC9v1+pNCUxrpRe1q1VC6bj6e5YXGY21ZFuP+1sd29rJJJKXhgqz/rmhQV/nJ54bJu2RiC6miUKikDvdFxiK/7PbpnTSW69yDRA0chnkCFQ/QumUts8WxkxpShr1NEkmmP5fNmFLsblgnEN9+M87mLrb9prDnY6ctag6xnzUvZGIIz6RC11dnQxqrqoGwR8rJPGk4iuBmNJLoCZSeZdehK2nhC8bQRTAbrVFM216jXHdwBzJ1q+CEWLoIPZl5nfA1Vmf8CfTNDOY3UGRLKTql1nwCAhLPnOg1Bx7Oqyo5VOhr0CahwMI2F0nwEb+zwU3hHm2bg4T9l9BE2d1rT/ABxw0a7A8JH9TTUXs62ZvrqtFY09fvUED6DkZA3RbWB/ycpXEdwh5qk5ptajdB/YGrZ+TTxsUhjYZLPn3Ak89X58pVV3PZyfMzSZI8GlehbKFGNxVIM4gnfKXzJxRcXuSeWicjtL/sPYPXWXVByWENg6Wfn3neGbmSxjJC+5+UNl5XuSvpKpWykodaeFB3prGwzcJerrE2rDgVz+lfXNwbKEbLXkWQwpE1S2joAL2XUafJTczJQ55oSk15OGYKdHrKaZyUzgGiLzsytL1VIyzBaFfyb9RBRFQlKQSkJvu2JtGLvzu0ALFi2ko5EVpDQ5ZfkACkm+zrk5A4XBdCjSU1ZIqSvOvaCdWmVLQ8ntHOkxPNkJjXv4ToehUpDenbWAf0chmykSzXDkYKG0zZw+1FavdzH+pfjbFwX5d41Ue7cPLTjuJQlJJNyXgVtZwQWEnFfs41Ex3bBncXiASd6PCKu0GR9xyWDNQQWDrTsJhyOsGDJ0qEbWyznyNe2JjkTU9y+ylqCUsEaggrnrW1vArBw6bIhWloso8d9r/uy0L1rrL+gFCgbH8H+M70kJavLRw3ttjGa/VOaq4NhCfXRoA5fq/kTom5QP49oIaqm5KcXXVNBMf0Jejlt1mk+AuO8vhQPg2LUKW1nMc/wA8S0dI/xZFB/TBppNWqbp3Em5h8zs2bqPoK00TW9ZdKoNK8TSDFh7mamlVNG+GhStJQOZmhpqHAfQVpL82HupqaXzc+V6TPQ6UujEXaFSEgC9z8X/0XAD2FKdflCTQv0H0BQkx4L/0G+vvXx60Mprp6T/yeomDutjSfFDlm1M4IK5vCetwDfEFgs482zmX0K7l9nJaJiM2aGQEQeEZGTIrJDO9YsIs+KSEvmX5vMpkgcafF3aJu9dGWRe2KpZG7LrC24w4aUFpWxlIb+BfifwP/Wjt0OPKeUuk9Ebs+UbxvqQq2trfz6ty9RM28FTiacMhIKyj3TGrJPFdPrgk8Y02qDH7IpNdlybcTIhOnklgLyzcLMmZ0rWXnKdYJSVSBcMmyEUpqyhVY0V9L2ast+Yz1BiSmhSUMJY1eQznd9I1A1eyltPSmSmmySTJsyUrZsTu91+cdTZl2gmDfUUJc/zHEMBzZ7CVZ6KrdUZI6V+XnJhbmSOJ9U1CeNOI4MkJvGjJGuUB5hOOlIZaMBXctznbs2x7lndZT710X7DcNIqBQZSSfn+zPMz+OYGQKl1IsiMt84/BHg/ZnXjwIvUIAhOHXqFP/0t3/JH92ykVnL/oQDr9Vz9O06kjGHcJXH3JU9XP6BBE0zUqWax61k6D52AAC3fjKIVQYtxSeW9hPTrZ7h8tcrwzz4VnLokyyjyng7i6crpY5lXh8HpudqKCI3Azdnjzgc23U5u397Ho4LtY0e0boUXkp457VaDm1t4MIru1l9fWeuS1oAL96LhKKEJ1m/gKV0+D/vpFg6SZjfYB9OikHRRl35c7Oc8zOl1ENKqVVKqVX+kc+w/ZkEoXArdc1J3LBCBNywon5KmobJKd56sZbNv6hngsz6Rp0+SSg6c2GRe2KxDOS+1/2ZgHUejz/jPSM4ISIzlVLHRGQmcHLIMwDXrUbJR/FSB3jnlfeINk2neenlgXz+dVUhvJoEm34dZfZFnTTNyGrmZgigXm4yQk11Tdo8T9fPk0Pse6yHS1YZOnNdJDvs0VBQy4rkSb/Qa4SBxrT+9SSDIaF6Oekpms74G/ucaVpIsiOYnTWfHyCfDGyGiAbPG5k1NlNT6GUzlHJAGos8YaAjJZ/PwM2Etrrj6SPIh9bVAeG7w0gVMRr+A7NtPvS+rd+UYOOaCPevi7J+U2JEaSwKoRL9CfkY7xnBk8BNmdc3AT8r5KTJkxcy68JLab7AnxzEz5zg2OafkzK2oHQcEFHse7V2sMtULJM0I2CxlDrrN/mLzf5xtU1TOl6MZfjoD4FNwFIROSwi/xG4D/hDEWkBrs6Uh6S3N0S0PklV8wxmrr6+P0d/67bn8YykcdG6FAferBnsMhVJ3al3EKwRsJQX6zclcESsTDROjGXU0CdyVF013Gt5nuCEFCRAHIeZl19LrL2NROcpnHBwsxYnpEj0WIcTQO1pP0KoN9pQ5J5YLMPn1RNpLpvuctcVEe7ZYre4HEvKIsWE4yhivYqUpsuHapsJ1TaTzmi4vQlfE/dSQlSSHDndk21raJm6fjogtbJW15tHd+9OBOt6jbKuGTdUBae4jVXZYTd9FPWRYLy77pfoiAfXCuj9Mf0ZS1NHERTbZQbJGBDLjkc+bd+k0NQIY6WR636BmnBwbMJGng9zXYFOIP3DgBQTmu7vmOsPgtfUfQaRzHkR1yGqJG86iuGQN2W1hlkXeA+G6Ir+GRgL/8Fw2w7GE/vTPPlumi9eEeHuKyJ84dX8YaXF8CdMFP9BWRiCmpo08a4w1Ay9Z3GiK8SC1eMfQqoUnDkeYu8rtRx4s4Zk3CFS5bHwkl5WvS9B8ziucViaOoIDbJcZGYf6xPiwWiqPlAd3bE5w7+oI91we5q5X7BqDsaAsNJTa2jSo/PnYwK9XSphz0fgaAi8Nr/6igZ9/czotr9QSrvZonJoiUu2xZ3MNj3+lmZf+bx3e0HbsnFnWZwScmdjVdZaJQFrBhk1xIq6w0WYrHRPKYkYQDitmrGjjwOuTiTbG/AWxxo9cKqWIt0eZsrKNVG037VklhOqzQYeyPoU2QxI7E1n5pSsWlGJOdcW1175mqRTs/c0U9m+poqqpC3Ggtxfoi9CMQFXI5d+ejnDotMOyq08xe3LWmT3VSIdREw7a5tO92Seg9p7g01Cv1tdEyuPjM/wdwreejfB2VweFkk/WKbTOdfI/U4zGPU4ZdfVVwY9vlZZGwrymKfEUSiKVW/Lr+5Mdxz+uh5aOlkw0ZuTpXj7ZKJ/8YkpB+eSfQrNt9l1DITz9Xopr5oXYuCbSH1mkM9q7qRVCoWGopS4hlcWMQATmrzlK8/KTJDqriJ+N4qUEpXyfQKIjQqIjwpSVbZy35vi4Pgh3tUY49MYkqpriOTM2OA7UTklw8PVGulrH5ommzwg8d6qKPT027M4y8fjtUY+HdvoPQ3ZmMLqUhSEAPy3OtMuOsODDu5h0fht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"text/plain": [ "" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1)\n", "plt.title('Previous space occpuation')\n", "sp.print_court_teams_occupation(events,0,25,value=True)\n", "plt.figure(2)\n", "plt.title('Space occupation taking intertia into account')\n", "sp.print_court_teams_occupation_inertia(events,0,25)\n", "plt.figure(3)\n", "plt.title('Previous space occpuation')\n", "sp.print_court_teams_occupation(events,0,58,value=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delay between individual *freespace* and *freetime*\n", "\n", "Let's look at the delay between $\\delta_{space}^*$ (distance to the closest opponent) and $\\delta_{time}^*$ (time needed by the closest opponent to join shooter's position) calculating the correlation between both metrics 3 seconds before 3-point shots (see [4_Free_space_and_3-points_efficiency](https://nbviewer.jupyter.org/github/AmigoCap/MecaFootCo/blob/master/4_Free_space_and_3-points_efficiency.ipynb) for more details)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gabin/opt/anaconda3/lib/python3.7/site-packages/numpy/lib/arraysetops.py:568: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", " mask |= (ar1 == a)\n" ] } ], "source": [ "import pickle\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "#dico=pickle.load(open('data/Shots','rb'))\n", "df=pd.read_csv('data/df_plot_mean.csv',index_col=[0])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "df=df.query('Time>-3. and Time<0.8')\n", "\n", "def aggregating_04(row):\n", " number=row['Time']\n", " q=number//0.04\n", " if abs(round((q*0.04-number),2))<=0.02:\n", " return(q*0.04)\n", " else :\n", " return((q+1)*0.04)\n", " \n", "df['Time']=df.apply(aggregating_04,axis=1)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DTTime_to_shootShot resultplayer_idx_bally_ballz_ballx_shootery_shooterquarterclockMatch_idshot_idbtpl
Time
-3.0010.3669180.813007-1.7496470.344728232271.58194946.75253324.9030033.55676946.88288225.3335812.562460340.494706322.75031914565.437859True
-2.9610.4160460.814531-1.7325310.349235227207.53981146.72343524.8821123.53672946.87469825.0978322.536603345.973889322.45823114554.550227True
-2.9210.4381070.815225-1.7331820.348754227041.80487546.67780124.8666753.52740946.83877325.0898842.536625345.936536322.90100714574.930481True
-2.8810.4798720.816914-1.7337580.348460227010.13309446.74534524.8649863.52548646.90353525.0853582.538725345.494022322.51119114556.944602True
-2.8410.5177420.818556-1.7332430.348720227073.34831046.70035824.8576523.52270746.84271725.0581952.537748345.426979322.62370814562.123502True
................................................
0.643.9751710.564119-1.8239550.347666228079.64438246.80619025.05742315.47886146.91547825.0720452.537042346.294921323.23830914590.396028True
0.684.0352440.572019-1.8233860.347538228225.08024546.78542425.05141715.51151346.91532625.0694702.537897346.316165323.18727614588.351039True
0.724.1169200.579561-1.8234840.347510228294.05694846.78466025.04741315.49450146.91384225.0656682.538669346.295889323.23133114590.433180True
0.764.2100210.587075-1.8216630.347493228058.04499346.78411225.04606015.42898246.92340325.0667472.538198346.471467323.11708714585.196643True
0.804.3245040.597612-1.8808850.349565247503.36069647.18613325.01329815.44183847.21740825.0132362.508290342.004899324.64487014655.135652True
\n", "

96 rows × 15 columns

\n", "
" ], "text/plain": [ " D T Time_to_shoot Shot result player_id \\\n", "Time \n", "-3.00 10.366918 0.813007 -1.749647 0.344728 232271.581949 \n", "-2.96 10.416046 0.814531 -1.732531 0.349235 227207.539811 \n", "-2.92 10.438107 0.815225 -1.733182 0.348754 227041.804875 \n", "-2.88 10.479872 0.816914 -1.733758 0.348460 227010.133094 \n", "-2.84 10.517742 0.818556 -1.733243 0.348720 227073.348310 \n", "... ... ... ... ... ... \n", " 0.64 3.975171 0.564119 -1.823955 0.347666 228079.644382 \n", " 0.68 4.035244 0.572019 -1.823386 0.347538 228225.080245 \n", " 0.72 4.116920 0.579561 -1.823484 0.347510 228294.056948 \n", " 0.76 4.210021 0.587075 -1.821663 0.347493 228058.044993 \n", " 0.80 4.324504 0.597612 -1.880885 0.349565 247503.360696 \n", "\n", " x_ball y_ball z_ball x_shooter y_shooter quarter \\\n", "Time \n", "-3.00 46.752533 24.903003 3.556769 46.882882 25.333581 2.562460 \n", "-2.96 46.723435 24.882112 3.536729 46.874698 25.097832 2.536603 \n", "-2.92 46.677801 24.866675 3.527409 46.838773 25.089884 2.536625 \n", "-2.88 46.745345 24.864986 3.525486 46.903535 25.085358 2.538725 \n", "-2.84 46.700358 24.857652 3.522707 46.842717 25.058195 2.537748 \n", "... ... ... ... ... ... ... \n", " 0.64 46.806190 25.057423 15.478861 46.915478 25.072045 2.537042 \n", " 0.68 46.785424 25.051417 15.511513 46.915326 25.069470 2.537897 \n", " 0.72 46.784660 25.047413 15.494501 46.913842 25.065668 2.538669 \n", " 0.76 46.784112 25.046060 15.428982 46.923403 25.066747 2.538198 \n", " 0.80 47.186133 25.013298 15.441838 47.217408 25.013236 2.508290 \n", "\n", " clock Match_id shot_id btpl \n", "Time \n", "-3.00 340.494706 322.750319 14565.437859 True \n", "-2.96 345.973889 322.458231 14554.550227 True \n", "-2.92 345.936536 322.901007 14574.930481 True \n", "-2.88 345.494022 322.511191 14556.944602 True \n", "-2.84 345.426979 322.623708 14562.123502 True \n", "... ... ... ... ... \n", " 0.64 346.294921 323.238309 14590.396028 True \n", " 0.68 346.316165 323.187276 14588.351039 True \n", " 0.72 346.295889 323.231331 14590.433180 True \n", " 0.76 346.471467 323.117087 14585.196643 True \n", " 0.80 342.004899 324.644870 14655.135652 True \n", "\n", "[96 rows x 15 columns]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df2=df.groupby('Time').mean()\n", "df2=df2.sort_index()\n", "df2" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def autocorrel(x,y,N,i,M):\n", " #print(M)\n", " C = np.zeros(N)\n", " for k in range(i,M):\n", " for n in range(N):\n", " C[n] += x[k]*y[k-n]\n", " #print(C)\n", " return C/M\n", "\n", "def tau(df):\n", "\n", " times=list(df.index)\n", " times=np.sort(times)\n", " \n", " b,c=0,0\n", " \n", " Ns=len(df2['D'].values)\n", " x=df2['D'].values.copy()\n", " y=df2['T'].values.copy()\n", " N=50\n", " a=autocorrel(x-np.mean(x),y-np.mean(y),N,N,Ns)\n", " for k in range(len(x)):\n", " x[k]=(x[k]-np.mean(x))*(x[k]-np.mean(x))\n", " for k in range(len(y)):\n", " y[k]=(y[k]-np.mean(y))*(y[k]-np.mean(y))\n", "\n", " b=np.sqrt(np.mean(x))\n", " c=np.sqrt(np.mean(y))\n", " a=a/(b*c)\n", " maxa=max(a)\n", " abscisses=[0.04*k for k in range(N)]\n", " for k in range(len(a)):\n", " if a[k]==maxa:\n", " tau_max=k*0.04\n", " print('valeur max atteinte pour tau=',k*0.04)\n", " plt.plot(abscisses,a)\n", " plt.vlines(tau_max, ymin=-1,ymax=maxa, linestyle=\"dashed\", color='black')\n", " plt.ylim(bottom=-0.15,top=0.28)\n", " plt.xlabel(r'$\\tau$ [s]')\n", " plt.ylabel(r'$<\\rho(\\tau)$>')" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.2655698251546643 0.26497265786834706\n", "valeur max atteinte pour tau= 0.28\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax=plt.subplots(2,1)\n", "t=df2.index\n", "x=df2['D'].values.copy()\n", "y=df2['T'].values.copy()\n", "ax[0].plot(t,x)\n", "ax[1].plot(t,y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that before a 3-point shot, there is a delay of 0.32s between $<\\delta_{space}^*>$ and $<\\delta_{time}^*>$. This value is little but in basketball dynamics it is an important amount of time. Indeed, for example, it takes 0.5 on average for a player to attempt a shot." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }