examples/StockFlow/full_fledged_schema/Pertussis Model.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using StockFlow\n",
    "\n",
    "using Catlab\n",
    "using Catlab.CategoricalAlgebra\n",
    "using LabelledArrays\n",
    "using OrdinaryDiffEq\n",
    "using Plots\n",
    "\n",
    "using Catlab.Graphics\n",
    "using Catlab.Programs\n",
    "using Catlab.WiringDiagrams"
   ]
  },
  {
   "attachments": {
    "pertussis_model.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![pertussis_model.png](attachment:pertussis_model.png)\n",
    "cite from paper: Hethcote, Herbert W. \"An age-structured model for pertussis transmission.\" Mathematical biosciences 145.2 (1997): 89-136."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fInfectious (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the function of new born\n",
    "fNewBorn(u,uN,p,t)=uN.N(u,t)*p.rBirth\n",
    "# define other functions of flows in this model, since all the other flows' functions have the \n",
    "# same form: up_stream stock * rate\n",
    "# uS: name (symbol) of the upper stream stock\n",
    "# r: name (symbol) of the parameter rate\n",
    "function fLinear(uS,r)\n",
    "    fL(u,uN,p,t) = u[uS]*p[r]\n",
    "    return fL\n",
    "end\n",
    "# define the functions of new infectious flow\n",
    "function fInfectious(uS)\n",
    "    fI(u,uN,p,t) = u[uS]*p[:β]*uN.NI(u,t)/uN.N(u,t)\n",
    "    return fI\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fsymbol (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define function of concatenate of two strings to symbol\n",
    "# s1,s2: String\n",
    "fsymbol(s1,s2)=Symbol(s1*s2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Define the components of all the sub-models"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 Define open sub-model including each stock and its death flow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fOpenDeaths (generic function with 1 method)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#(stock_name=>(inflows, outflows, variables, svariables))\n",
    "     ## if a stock has no inflow or no outflow, use keyword \":F_NONE\"\n",
    "     ## if a stock has no variables connect to, use keyword \":V_NONE\"\n",
    "     ## if a stock has no sum_variables connect to, use keyword \":SV_NONE\"\n",
    "#(flow=>variable)\n",
    "#(variable=>function)\n",
    "#(svariable=>variable)\n",
    "     ## if sum_variable contributes to no variables, use keywork \":SVV_NONE\"\n",
    "\n",
    "# function to create a open stock and flow diagram of diagnosis\n",
    "# s: string of the stock name\n",
    "fOpenDeaths(s) = Open(\n",
    "    # stock and flow diagram\n",
    "    StockAndFlow(\n",
    "    #stocks\n",
    "    (Symbol(s)=>(:F_NONE,fsymbol(\"Deaths_\",s),fsymbol(\"v_Deaths_\",s),:N)),    \n",
    "    #flows\n",
    "    (fsymbol(\"Deaths_\",s)=>fsymbol(\"v_Deaths_\",s)),           \n",
    "    #dynamical variables\n",
    "    (fsymbol(\"v_Deaths_\",s)=>fLinear(Symbol(s),:rDeath)),    \n",
    "    #sum dynamical variables\n",
    "    (:N=>:SVV_NONE)\n",
    "    ),\n",
    "    # feet\n",
    "    foot(Symbol(s),:N,Symbol(s)=>:N)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For example, the deaths sub-model of stock \"S\" is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"S\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"fs_1\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"point\", :color => \"white\")), Catlab.Graphics.Graphviz.Node(\"v_Deaths_S\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"plaintext\", :color => \"black\")), Catlab.Graphics.Graphviz.Node(\"N\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"circle\", :color => \"black\", :fillcolor => \"cornflowerblue\", :style => \"filled\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_Deaths_S\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"v_Deaths_S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"fs_1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"Deaths_S\", :labelfontsize => \"6\", :color => \"black:invis:black\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_Deaths_S\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(apex(fOpenDeaths(\"S\")))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Define the SIR sub-model including the flow of new borns to stock S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
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Catlab.Graphics.Graphviz.NodeID(\"v_infs\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\"))  …  Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"I\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_recI\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infs\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"I\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infs\", \"\", \"\")], 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Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infs\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"NI\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infs\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_births\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "openSIR=Open(\n",
    "    StockAndFlow(\n",
    "    (:S=>(:births,:infs,:v_infs,:N), \n",
    "        :I=>(:infs,:recI,(:v_infs, :v_recI),(:N,:NI)),\n",
    "        :R4=>(:recI,:F_NONE,:V_NONE,:N)),\n",
    "    (:births=>:v_births,:infs=>:v_infs,:recI=>:v_recI),\n",
    "    (:v_births=>fNewBorn,:v_infs=>fInfectious(:S),:v_recI=>fLinear(:I,:γ)),\n",
    "    (:N=>(:v_births,:v_infs),:NI=>:v_infs)\n",
    "    ),\n",
    "    # feet\n",
    "    foot(:S,:N,:S=>:N),\n",
    "    foot(:I,:N,:I=>:N),\n",
    "    foot(:R4,:N,:R4=>:N),\n",
    "    foot((),:NI,())\n",
    ")\n",
    "Graph(apex(openSIR))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.3 Define the open sub-model of VRIR, including V1R1ImR4 and V2R2IwR4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "openVRIR (generic function with 1 method)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# n: string of \"1\" or \"2\"\n",
    "# mw:string of \"m\" or \"w\"\n",
    "openVRIR(n,mw)=Open(\n",
    "    StockAndFlow(\n",
    "    (fsymbol(\"V\",n)=>(:F_NONE,fsymbol(\"infV\",n),fsymbol(\"v_infV\",n),:N), \n",
    "        fsymbol(\"R\",n)=>(:F_NONE,fsymbol(\"infR\",n),fsymbol(\"v_infR\",n),:N),\n",
    "        fsymbol(\"I\",mw)=>((fsymbol(\"infV\",n),fsymbol(\"infR\",n)),fsymbol(\"recI\",mw),fsymbol(\"v_recI\",mw),(:N,:NI)),\n",
    "        :R4=>(fsymbol(\"recI\",mw),:F_NONE,:V_NONE,:N)),\n",
    "    (fsymbol(\"infV\",n)=>fsymbol(\"v_infV\",n),fsymbol(\"infR\",n)=>fsymbol(\"v_infR\",n),fsymbol(\"recI\",mw)=>fsymbol(\"v_recI\",mw)),\n",
    "    (fsymbol(\"v_infV\",n)=>fInfectious(fsymbol(\"V\",n)),fsymbol(\"v_infR\",n)=>fInfectious(fsymbol(\"R\",n)),fsymbol(\"v_recI\",mw)=>fLinear(fsymbol(\"I\",mw),:γ)),\n",
    "\n",
    "        (:N=>(fsymbol(\"v_infV\",n),fsymbol(\"v_infR\",n)),:NI=>(fsymbol(\"v_infV\",n),fsymbol(\"v_infR\",n)))\n",
    "    ),\n",
    "    # feet\n",
    "    foot(fsymbol(\"V\",n),:N,fsymbol(\"V\",n)=>:N),\n",
    "    foot(fsymbol(\"I\",mw),:N,fsymbol(\"I\",mw)=>:N),\n",
    "    foot(fsymbol(\"R\",n),:N,fsymbol(\"R\",n)=>:N),\n",
    "    foot(:R4,:N,:R4=>:N),\n",
    "    foot((),:NI,())\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For example, the V1R1ImR4 model is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
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Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\"))  …  Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"Im\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"NI\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"Im\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R4\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"NI\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"NI\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(apex(openVRIR(\"1\",\"m\")))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.4 Define the immunity increase and decrease between two levels of V or R"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fOpenImmunity (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# us and ds: are the string of upstream and downstream stocks\n",
    "# dr: the symbol of decreasing immunity rate\n",
    "# Note, the increase immunity rate are always :vacc\n",
    "fOpenImmunity(us,ds,r) = Open(\n",
    "    # stock and flow diagram\n",
    "    StockAndFlow(\n",
    "    #stocks\n",
    "    (Symbol(us)=>(fsymbol(ds,\"WaningImmunity\"),fsymbol(\"Vacc\",us),fsymbol(\"v_Vacc\",us),:N),\n",
    "     Symbol(ds)=>(fsymbol(\"Vacc\",us),fsymbol(ds,\"WaningImmunity\"),fsymbol(\"v_WanImmu\",ds),:N)),    \n",
    "    #flows\n",
    "    (fsymbol(ds,\"WaningImmunity\")=>fsymbol(\"v_WanImmu\",ds),\n",
    "     fsymbol(\"Vacc\",us)=>fsymbol(\"v_Vacc\",us)),           \n",
    "    #dynamical variables\n",
    "    (fsymbol(\"v_WanImmu\",ds)=>fLinear(Symbol(ds),r),\n",
    "     fsymbol(\"v_Vacc\",us)=>fLinear(Symbol(us),:vacc)),    \n",
    "    #sum dynamical variables\n",
    "    (:N=>:SVV_NONE)\n",
    "    ),\n",
    "    # feet\n",
    "    foot(Symbol(us),:N,Symbol(us)=>:N),\n",
    "    foot(Symbol(ds),:N,Symbol(ds)=>:N)\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For example, the sub-model between R1 and R2 is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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text-anchor=\"middle\" x=\"109\" y=\"-58.3\" font-family=\"Times,serif\" font-size=\"14.00\">v_VaccR1</text>\n</g>\n<!-- R1&#45;&gt;v_VaccR1 -->\n<g id=\"edge3\" class=\"edge\">\n<title>R1&#45;&gt;v_VaccR1</title>\n<path fill=\"none\" stroke=\"black\" d=\"M35.94,-54.55C46.51,-53.4 60.17,-53.02 72.9,-53.38\"/>\n<path fill=\"none\" stroke=\"transparent\" d=\"M36.16,-56.54C46.57,-55.4 60.23,-55.02 72.84,-55.38\"/>\n<path fill=\"none\" stroke=\"black\" d=\"M36.38,-58.53C46.62,-57.4 60.28,-57.02 72.78,-57.38\"/>\n</g>\n<!-- R1&#45;&gt;v_VaccR1 -->\n<g id=\"edge5\" class=\"edge\">\n<title>R1&#45;&gt;v_VaccR1</title>\n<path fill=\"none\" stroke=\"black\" d=\"M36.16,-67.46C43.8,-68.29 53.2,-68.72 62.65,-68.75\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"62.89,-72.25 72.84,-68.62 62.8,-65.25 62.89,-72.25\"/>\n</g>\n<!-- N -->\n<g id=\"node5\" class=\"node\">\n<title>N</title>\n<ellipse fill=\"cornflowerblue\" stroke=\"black\" cx=\"420.5\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n<text text-anchor=\"middle\" x=\"420.5\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\">N</text>\n</g>\n<!-- R1&#45;&gt;N -->\n<g id=\"edge7\" class=\"edge\">\n<title>R1&#45;&gt;N</title>\n<path fill=\"none\" stroke=\"black\" d=\"M36.27,-51.05C46.52,-45.15 60.02,-38.4 73,-35 188.73,-4.67 333.48,-11.17 392.54,-15.61\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"392.29,-19.1 402.54,-16.4 392.85,-12.12 392.29,-19.1\"/>\n</g>\n<!-- R2 -->\n<g id=\"node2\" class=\"node\">\n<title>R2</title>\n<polygon fill=\"#9aceeb\" stroke=\"black\" points=\"331,-80 295,-80 295,-44 331,-44 331,-80\"/>\n<text text-anchor=\"middle\" x=\"313\" y=\"-58.3\" font-family=\"Times,serif\" font-size=\"14.00\">R2</text>\n</g>\n<!-- v_WanImmuR2 -->\n<g id=\"node3\" class=\"node\">\n<title>v_WanImmuR2</title>\n<text text-anchor=\"middle\" x=\"420.5\" y=\"-70.3\" font-family=\"Times,serif\" font-size=\"14.00\">v_WanImmuR2</text>\n</g>\n<!-- R2&#45;&gt;v_WanImmuR2 -->\n<g id=\"edge1\" class=\"edge\">\n<title>R2&#45;&gt;v_WanImmuR2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M331.43,-56.82C341.63,-56.88 354.88,-57.86 368.11,-59.39\"/>\n<path fill=\"none\" stroke=\"transparent\" d=\"M331.42,-58.82C341.49,-58.87 354.73,-59.85 367.88,-61.38\"/>\n<path fill=\"none\" stroke=\"black\" d=\"M331.41,-60.82C341.34,-60.87 354.58,-61.85 367.65,-63.37\"/>\n</g>\n<!-- R2&#45;&gt;v_WanImmuR2 -->\n<g id=\"edge6\" class=\"edge\">\n<title>R2&#45;&gt;v_WanImmuR2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M331.42,-69.15C338.89,-70.8 348.11,-72.35 357.75,-73.64\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"357.53,-77.14 367.88,-74.88 358.38,-70.19 357.53,-77.14\"/>\n</g>\n<!-- R2&#45;&gt;N -->\n<g id=\"edge8\" class=\"edge\">\n<title>R2&#45;&gt;N</title>\n<path fill=\"none\" stroke=\"black\" d=\"M331.42,-54.73C348.47,-47.63 374.62,-36.72 394,-28.63\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"395.56,-31.78 403.44,-24.7 392.86,-25.32 395.56,-31.78\"/>\n</g>\n<!-- v_WanImmuR2&#45;&gt;R1 -->\n<g id=\"edge2\" class=\"edge\">\n<title>v_WanImmuR2&#45;&gt;R1</title>\n<path fill=\"none\" stroke=\"black\" d=\"M368.05,-88.41C362.06,-89.47 356.06,-90.36 350.21,-90.99 227.56,-104.06 195.43,-103.75 72.79,-90.99 64.59,-90.1 62.14,-90.31 53.23,-86.85 50.01,-85.5 46.9,-83.93 43.8,-82.19\"/>\n<path fill=\"none\" stroke=\"transparent\" d=\"M367.7,-86.44C361.76,-87.49 355.77,-88.38 350,-89 227.58,-102.06 195.45,-101.75 73,-89 64.42,-88.11 61.97,-88.32 54,-85 50.91,-83.71 47.8,-82.15 44.78,-80.44\"/>\n<path fill=\"none\" stroke=\"black\" d=\"M367.35,-84.47C361.47,-85.51 355.47,-86.41 349.79,-87.01 227.6,-100.06 195.47,-99.75 73.21,-87.01 64.25,-86.11 61.8,-86.32 54.77,-83.15 51.81,-81.93 48.7,-80.36 45.77,-78.7\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"46.43,-77.35 36.08,-75.06 42.74,-83.3 46.43,-77.35\"/>\n<text text-anchor=\"middle\" x=\"220\" y=\"-101.8\" font-family=\"Times,serif\" font-size=\"14.00\">R2WaningImmunity</text>\n</g>\n<!-- v_VaccR1&#45;&gt;R2 -->\n<g id=\"edge4\" class=\"edge\">\n<title>v_VaccR1&#45;&gt;R2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M145.19,-60C184.83,-60 248.43,-60 284.57,-60\"/>\n<path fill=\"none\" stroke=\"transparent\" d=\"M145.19,-62C184.83,-62 248.43,-62 284.57,-62\"/>\n<path fill=\"none\" stroke=\"black\" d=\"M145.19,-64C184.83,-64 248.43,-64 284.57,-64\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"284.85,-65.5 294.85,-62 284.85,-58.5 284.85,-65.5\"/>\n<text text-anchor=\"middle\" x=\"220\" y=\"-65.8\" font-family=\"Times,serif\" font-size=\"14.00\">VaccR1</text>\n</g>\n</g>\n</svg>\n",
      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"R1\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"R2\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"v_WanImmuR2\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"plaintext\", :color => \"black\")), Catlab.Graphics.Graphviz.Node(\"v_VaccR1\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"plaintext\", :color => \"black\")), Catlab.Graphics.Graphviz.Node(\"N\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"circle\", :color => \"black\", :fillcolor => \"cornflowerblue\", :style => \"filled\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R2\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_WanImmuR2\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"v_WanImmuR2\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"R2WaningImmunity\", :labelfontsize => \"6\", :color => \"black:invis:black\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_VaccR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"v_VaccR1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"R2\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"VaccR1\", :labelfontsize => \"6\", :color => \"black:invis:black\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_VaccR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R2\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_WanImmuR2\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R2\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(apex(fOpenImmunity(\"R1\",\"R2\",:α)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.5 The rest sub-model components\n",
    "### 1.5.1 The rest sub-model components of new infectious\n",
    "Including, the new infectious from stock R3 or V3 to R4 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fOpenR3OrV3ToR4 (generic function with 1 method)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# us: string of name of stock R3 or V3 \n",
    "fOpenR3OrV3ToR4(s) = Open(\n",
    "    # stock and flow diagram\n",
    "    StockAndFlow(\n",
    "    #stocks\n",
    "    (Symbol(s)=>(:F_NONE,fsymbol(\"inf\",s),fsymbol(\"v_inf\",s),:N),\n",
    "     :R4=>(fsymbol(\"inf\",s),:F_NONE,:V_NONE,:N)),    \n",
    "    #flows\n",
    "    fsymbol(\"inf\",s)=>fsymbol(\"v_inf\",s),           \n",
    "    #dynamical variables\n",
    "    fsymbol(\"v_inf\",s)=>fInfectious(Symbol(s)),  \n",
    "    #sum dynamical variables\n",
    "    (:N=>fsymbol(\"v_inf\",s),:NI=>fsymbol(\"v_inf\",s))\n",
    "    ),\n",
    "    # feet\n",
    "    foot(Symbol(s),:N,Symbol(s)=>:N),\n",
    "    foot(:R4,:N,:R4=>:N),\n",
    "    foot((),:NI,())\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### For example, sub-model of new infectious from Stock V3 to R4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"V3\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"R4\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"v_infV3\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"plaintext\", :color => \"black\")), Catlab.Graphics.Graphviz.Node(\"N\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"circle\", :color => \"black\", :fillcolor => \"cornflowerblue\", :style => \"filled\")), Catlab.Graphics.Graphviz.Node(\"NI\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"circle\", :color => \"black\", :fillcolor => \"cornflowerblue\", :style => \"filled\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V3\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV3\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"v_infV3\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"R4\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"infV3\", :labelfontsize => \"6\", :color => \"black:invis:black\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V3\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV3\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"V3\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R4\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV3\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"NI\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_infV3\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(apex(fOpenR3OrV3ToR4(\"V3\")))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.5.2 The rest sub-model components of waning immunity from Stock R1 to S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"R1\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"S\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"v_WaningImmunityR1\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"plaintext\", :color => \"black\")), Catlab.Graphics.Graphviz.Node(\"N\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"circle\", :color => \"black\", :fillcolor => \"cornflowerblue\", :style => \"filled\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_WaningImmunityR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"\", :labelfontsize => \"6\", :color => \"black:invis:black\", :arrowhead => \"none\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"v_WaningImmunityR1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:label => \"WaningImmunityR1\", :labelfontsize => \"6\", :color => \"black:invis:black\", :splines => \"ortho\")), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"v_WaningImmunityR1\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"R1\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}()), Catlab.Graphics.Graphviz.Edge(Catlab.Graphics.Graphviz.NodeID[Catlab.Graphics.Graphviz.NodeID(\"S\", \"\", \"\"), Catlab.Graphics.Graphviz.NodeID(\"N\", \"\", \"\")], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}())], OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:rankdir => \"LR\"), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(), OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:splines => \"splines\"))"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "OpenR1ToS = Open(\n",
    "    # stock and flow diagram\n",
    "    StockAndFlow(\n",
    "    #stocks\n",
    "    (:R1=>(:F_NONE,:WaningImmunityR1,:v_WaningImmunityR1,:N),\n",
    "     :S=>(:WaningImmunityR1,:F_NONE,:V_NONE,:N)),    \n",
    "    #flows\n",
    "    :WaningImmunityR1=>:v_WaningImmunityR1,           \n",
    "    #dynamical variables\n",
    "    :v_WaningImmunityR1=>fLinear(:R1,:ϵ),    \n",
    "    #sum dynamical variables\n",
    "    (:N=>:SVV_NONE)\n",
    "    ),\n",
    "    # feet\n",
    "    foot(:R1,:N,:R1=>:N),\n",
    "    foot(:S,:N,:S=>:N)\n",
    ")\n",
    "Graph(apex(OpenR1ToS))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Composition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the UWD-algebra of Hyperglycemic Model\n",
    "pertussis_uwd = @relation (S,I,Im,Iw,R1,R2,R3,R4,V1,V2,V3,V4,NI) begin\n",
    "    SD(S)\n",
    "    ID(I)\n",
    "    ImD(Im)\n",
    "    IwD(Iw)\n",
    "    R1D(R1)\n",
    "    R2D(R2)\n",
    "    R3D(R3)\n",
    "    R4D(R4)\n",
    "    V1D(V1)\n",
    "    V2D(V2)\n",
    "    V3D(V3)\n",
    "    V4D(V4)\n",
    "    SIR4(S,I,R4,NI)\n",
    "    V1R1ImR4(V1,Im,R1,R4,NI)\n",
    "    V2R2IwR4(V2,Iw,R2,R4,NI)\n",
    "    R1R2(R1,R2)\n",
    "    R2R3(R2,R3)\n",
    "    R3R4(R3,R4)\n",
    "    SV1(S,V1)\n",
    "    V1V2(V1,V2)\n",
    "    V2V3(V2,V3)\n",
    "    V3V4(V3,V4)\n",
    "    V3R4I(V3,R4,NI)\n",
    "    R3R4I(R3,R4,NI)\n",
    "    R1S(R1,S)\n",
    "end;\n",
    "display_uwd(pertussis_uwd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"S\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"I\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"Im\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"Iw\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"R1\", 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      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pertussis_model = oapply(pertussis_uwd,Dict(\n",
    "    :SD=>fOpenDeaths(\"S\"),\n",
    "    :ID=>fOpenDeaths(\"I\"),\n",
    "    :ImD=>fOpenDeaths(\"Im\"),\n",
    "    :IwD=>fOpenDeaths(\"Iw\"),\n",
    "    :V1D=>fOpenDeaths(\"V1\"),\n",
    "    :V2D=>fOpenDeaths(\"V2\"),\n",
    "    :V3D=>fOpenDeaths(\"V3\"),\n",
    "    :V4D=>fOpenDeaths(\"V4\"),\n",
    "    :R1D=>fOpenDeaths(\"R1\"),\n",
    "    :R2D=>fOpenDeaths(\"R2\"),\n",
    "    :R3D=>fOpenDeaths(\"R3\"),\n",
    "    :R4D=>fOpenDeaths(\"R4\"),\n",
    "    :SIR4=>openSIR,\n",
    "    :V1R1ImR4=>openVRIR(\"1\",\"m\"),\n",
    "    :V2R2IwR4=>openVRIR(\"2\",\"w\"),\n",
    "    :R1R2=>fOpenImmunity(\"R1\",\"R2\",:α),\n",
    "    :R2R3=>fOpenImmunity(\"R2\",\"R3\",:α),\n",
    "    :R3R4=>fOpenImmunity(\"R3\",\"R4\",:α),\n",
    "    :SV1=>fOpenImmunity(\"S\",\"V1\",:ϵ),\n",
    "    :V1V2=>fOpenImmunity(\"V1\",\"V2\",:τ),\n",
    "    :V2V3=>fOpenImmunity(\"V2\",\"V3\",:τ),\n",
    "    :V3V4=>fOpenImmunity(\"V3\",\"V4\",:τ),\n",
    "    :R3R4I=>fOpenR3OrV3ToR4(\"R3\"),\n",
    "    :V3R4I=>fOpenR3OrV3ToR4(\"V3\"),\n",
    "    :R1S=>OpenR1ToS\n",
    "    )) |> apex\n",
    "Graph(pertussis_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "Graph(\"G\", true, \"dot\", Catlab.Graphics.Graphviz.Statement[Catlab.Graphics.Graphviz.Node(\"S\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"I\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"Im\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"Iw\", OrderedCollections.OrderedDict{Symbol, Union{String, Catlab.Graphics.Graphviz.Html}}(:shape => \"square\", :color => \"black\", :style => \"filled\", :fillcolor => \"#9ACEEB\")), Catlab.Graphics.Graphviz.Node(\"R1\", 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      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(pertussis_model,type=\"SF\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Solve ODEs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12-element LArray{Float64, 1, Vector{Float64}, (:S, :I, :Im, :Iw, :R1, :R2, :R3, :R4, :V1, :V2, :V3, :V4)}:\n",
       "  :S => 863544.0\n",
       "  :I => 10.0\n",
       " :Im => 0.0\n",
       " :Iw => 0.0\n",
       " :R1 => 0.0\n",
       " :R2 => 0.0\n",
       " :R3 => 0.0\n",
       " :R4 => 0.0\n",
       " :V1 => 0.0\n",
       " :V2 => 0.0\n",
       " :V3 => 0.0\n",
       " :V4 => 0.0"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define values of constant parameters\n",
    "p = LVector(\n",
    "    β=0.184, rBirth=30*0.32/365.0, rDeath=30*0.32/365.0, ϵ=30.0 * 0.01 / 365.0, \n",
    "    vacc=1.0/4.0, α=30.0 * 1.0 / (5 * 365), τ=30.0 * 1.0 / (2 * 365), γ=30.0 * 1.0 / 21\n",
    ")\n",
    "# define initial values for stocks\n",
    "u0 = LVector(\n",
    "    S=863544.0, I=10.0, Im=0.0, Iw=0.0,\n",
    "    R1=0.0, R2=0.0, R3=0.0, R4=0.0,\n",
    "    V1=0.0, V2=0.0, V3=0.0, V4=0.0\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
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1506.32,1236.71 1508.4,1236.86 1510.48,1237.01 1512.56,1237.16 1514.64,1237.32 1516.72,1237.47 1518.8,1237.61 1520.88,1237.76 \n  1522.96,1237.91 1525.04,1238.06 1527.12,1238.2 1529.2,1238.34 1531.27,1238.49 1533.35,1238.63 1535.43,1238.77 1537.51,1238.91 1539.59,1239.05 1541.67,1239.19 \n  1543.75,1239.33 1545.83,1239.46 1547.91,1239.6 1549.99,1239.74 1552.07,1239.87 1554.15,1240 1556.23,1240.14 1558.31,1240.27 1560.39,1240.4 1562.47,1240.53 \n  1564.55,1240.66 1566.63,1240.78 1568.71,1240.91 1570.79,1241.04 1572.87,1241.16 1574.95,1241.29 1577.03,1241.41 1579.11,1241.54 1581.19,1241.66 1583.27,1241.78 \n  1585.35,1241.9 1587.43,1242.02 1589.51,1242.14 1591.59,1242.26 1593.67,1242.37 1595.75,1242.49 1597.83,1242.61 1599.9,1242.72 1601.98,1242.84 1604.06,1242.95 \n  1606.14,1243.06 1608.22,1243.18 1610.3,1243.29 1612.38,1243.4 1614.46,1243.51 1616.54,1243.62 1618.62,1243.73 1620.7,1243.83 1622.78,1243.94 1624.86,1244.05 \n  1626.94,1244.15 1629.02,1244.26 1631.1,1244.36 1633.18,1244.47 1635.26,1244.57 1637.34,1244.67 1639.42,1244.77 1641.5,1244.88 1643.58,1244.98 1645.66,1245.08 \n  1647.74,1245.17 1649.82,1245.27 1651.9,1245.37 1653.98,1245.47 1656.06,1245.56 1658.14,1245.66 1660.22,1245.76 1662.3,1245.85 1664.38,1245.94 1666.46,1246.04 \n  1668.53,1246.13 1670.61,1246.22 1672.69,1246.31 1674.77,1246.41 1676.85,1246.5 1678.93,1246.59 1681.01,1246.67 1683.09,1246.76 1685.17,1246.85 1687.25,1246.94 \n  1689.33,1247.03 1691.41,1247.11 1693.49,1247.2 1695.57,1247.28 1697.65,1247.37 1699.73,1247.45 1701.81,1247.54 1703.89,1247.62 1705.97,1247.7 1708.05,1247.78 \n  1710.13,1247.86 1712.21,1247.94 1714.29,1248.03 1716.37,1248.1 1718.45,1248.18 1720.53,1248.26 1722.61,1248.34 1724.69,1248.42 1726.77,1248.5 1728.85,1248.57 \n  1730.93,1248.65 1733.01,1248.72 1735.09,1248.8 1737.16,1248.87 1739.24,1248.95 1741.32,1249.02 1743.4,1249.1 1745.48,1249.17 1747.56,1249.24 1749.64,1249.31 \n  1751.72,1249.38 1753.8,1249.45 1755.88,1249.53 1757.96,1249.6 1760.04,1249.66 1762.12,1249.73 1764.2,1249.8 1766.28,1249.87 1768.36,1249.94 1770.44,1250.01 \n  1772.52,1250.07 1774.6,1250.14 1776.68,1250.2 1778.76,1250.27 1780.84,1250.34 1782.92,1250.4 1785,1250.46 1787.08,1250.53 1789.16,1250.59 1791.24,1250.65 \n  1793.32,1250.72 1795.4,1250.78 1797.48,1250.84 1799.56,1250.9 1801.64,1250.96 1803.72,1251.02 1805.8,1251.08 1807.87,1251.14 1809.95,1251.2 1812.03,1251.26 \n  1814.11,1251.32 1816.19,1251.38 1818.27,1251.44 1820.35,1251.49 1822.43,1251.55 1824.51,1251.61 1826.59,1251.66 1828.67,1251.72 1830.75,1251.78 1832.83,1251.83 \n  1834.91,1251.89 1836.99,1251.94 1839.07,1251.99 1841.15,1252.05 1843.23,1252.1 1845.31,1252.15 1847.39,1252.21 1849.47,1252.26 1851.55,1252.31 1853.63,1252.36 \n  1855.71,1252.41 1857.79,1252.47 1859.87,1252.52 1861.95,1252.57 1864.03,1252.62 1866.11,1252.67 1868.19,1252.72 1870.27,1252.77 1872.35,1252.81 1874.43,1252.86 \n  1876.5,1252.91 1878.58,1252.96 1880.66,1253.01 1882.74,1253.05 1884.82,1253.1 1886.9,1253.15 1888.98,1253.19 1891.06,1253.24 1893.14,1253.28 1895.22,1253.33 \n  1897.3,1253.38 1899.38,1253.42 1901.46,1253.46 1903.54,1253.51 1905.62,1253.55 1907.7,1253.6 1909.78,1253.64 1911.86,1253.68 1913.94,1253.73 1916.02,1253.77 \n  1918.1,1253.81 1920.18,1253.85 1922.26,1253.89 1924.34,1253.94 1926.42,1253.98 1928.5,1254.02 1930.58,1254.06 1932.66,1254.1 1934.74,1254.14 1936.82,1254.18 \n  1938.9,1254.22 1940.98,1254.26 1943.06,1254.3 1945.13,1254.33 1947.21,1254.37 1949.29,1254.41 1951.37,1254.45 1953.45,1254.49 1955.53,1254.52 1957.61,1254.56 \n  1959.69,1254.6 1961.77,1254.64 1963.85,1254.67 1965.93,1254.71 1968.01,1254.74 1970.09,1254.78 1972.17,1254.82 1974.25,1254.85 1976.33,1254.89 1978.41,1254.92 \n  1980.49,1254.96 1982.57,1254.99 1984.65,1255.03 1986.73,1255.06 1988.81,1255.09 1990.89,1255.13 1992.97,1255.16 1995.05,1255.19 1997.13,1255.23 1999.21,1255.26 \n  2001.29,1255.29 2003.37,1255.32 2005.45,1255.36 2007.53,1255.39 2009.61,1255.42 2011.69,1255.45 2013.76,1255.48 2015.84,1255.51 2017.92,1255.54 2020,1255.57 \n  2022.08,1255.6 2024.16,1255.63 2026.24,1255.66 2028.32,1255.69 2030.4,1255.72 2032.48,1255.75 2034.56,1255.78 2036.64,1255.81 2038.72,1255.84 2040.8,1255.87 \n  2042.88,1255.9 2044.96,1255.93 2047.04,1255.95 2049.12,1255.98 2051.2,1256.01 2053.28,1256.04 2055.36,1256.07 2057.44,1256.09 2059.52,1256.12 2061.6,1256.15 \n  2063.68,1256.17 2065.76,1256.2 2067.84,1256.23 2069.92,1256.25 2072,1256.28 2074.08,1256.3 2076.16,1256.33 2078.24,1256.36 2080.32,1256.38 2082.4,1256.41 \n  2084.47,1256.43 2086.55,1256.46 2088.63,1256.48 2090.71,1256.51 2092.79,1256.53 2094.87,1256.55 2096.95,1256.58 2099.03,1256.6 2101.11,1256.63 2103.19,1256.65 \n  2105.27,1256.67 2107.35,1256.7 2109.43,1256.72 2111.51,1256.74 2113.59,1256.76 2115.67,1256.79 2117.75,1256.81 2119.83,1256.83 2121.91,1256.85 2123.99,1256.88 \n  2126.07,1256.9 2128.15,1256.92 2130.23,1256.94 2132.31,1256.96 2134.39,1256.99 2136.47,1257.01 2138.55,1257.03 2140.63,1257.05 2142.71,1257.07 2144.79,1257.09 \n 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2275.81,1258.16 2277.89,1258.17 2279.97,1258.18 2282.05,1258.2 2284.13,1258.21 2286.21,1258.22 2288.29,1258.24 2290.36,1258.25 \n  2292.44,1258.26 2294.52,1258.28 2296.6,1258.29 2298.68,1258.3 2300.76,1258.31 2302.84,1258.33 2304.92,1258.34 2307,1258.35 2309.08,1258.36 2311.16,1258.38 \n  2313.24,1258.39 2315.32,1258.4 2317.4,1258.41 2319.48,1258.43 2321.56,1258.44 2323.64,1258.45 2325.72,1258.46 2327.8,1258.47 2329.88,1258.48 2331.96,1258.5 \n  2334.04,1258.51 2336.12,1258.52 2338.2,1258.53 2340.28,1258.54 2342.36,1258.55 2344.44,1258.56 2346.52,1258.57 2348.6,1258.59 2350.68,1258.6 2352.76,1258.61 \n  \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#e26f46; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  275.136,1384.22 277.216,1384.22 279.296,1384.22 281.375,1384.22 283.455,1384.22 285.535,1384.23 287.615,1384.23 289.694,1384.23 291.774,1384.23 293.854,1384.23 \n  295.933,1384.23 298.013,1384.23 300.093,1384.23 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682.757,1384.24 684.837,1384.24 686.917,1384.24 688.997,1384.24 \n  691.076,1384.24 693.156,1384.24 695.236,1384.24 697.315,1384.24 699.395,1384.24 701.475,1384.24 703.554,1384.24 705.634,1384.24 707.714,1384.24 709.794,1384.24 \n  711.873,1384.24 713.953,1384.24 716.033,1384.24 718.112,1384.24 720.192,1384.24 722.272,1384.24 724.351,1384.24 726.431,1384.24 728.511,1384.24 730.591,1384.24 \n  732.67,1384.24 734.75,1384.24 736.83,1384.24 738.909,1384.24 740.989,1384.24 743.069,1384.24 745.148,1384.24 747.228,1384.24 749.308,1384.24 751.387,1384.24 \n  753.467,1384.24 755.547,1384.24 757.627,1384.24 759.706,1384.24 761.786,1384.24 763.866,1384.24 765.945,1384.24 768.025,1384.24 770.105,1384.24 772.184,1384.24 \n  774.264,1384.24 776.344,1384.24 778.424,1384.24 780.503,1384.24 782.583,1384.24 784.663,1384.24 786.742,1384.24 788.822,1384.24 790.902,1384.24 792.981,1384.24 \n  795.061,1384.24 797.141,1384.24 799.221,1384.24 801.3,1384.24 803.38,1384.24 805.46,1384.24 807.539,1384.24 809.619,1384.24 811.699,1384.24 813.778,1384.24 \n  815.858,1384.24 817.938,1384.24 820.018,1384.24 822.097,1384.24 824.177,1384.24 826.257,1384.24 828.336,1384.24 830.416,1384.24 832.496,1384.24 834.575,1384.24 \n  836.655,1384.24 838.735,1384.24 840.815,1384.24 842.894,1384.24 844.974,1384.24 847.054,1384.24 849.133,1384.24 851.213,1384.24 853.293,1384.24 855.372,1384.24 \n  857.452,1384.24 859.532,1384.24 861.612,1384.24 863.691,1384.24 865.771,1384.24 867.851,1384.24 869.93,1384.24 872.01,1384.24 874.09,1384.24 876.169,1384.24 \n  878.249,1384.24 880.329,1384.24 882.409,1384.24 884.488,1384.24 886.568,1384.24 888.648,1384.24 890.727,1384.24 892.807,1384.24 894.887,1384.24 896.966,1384.24 \n  899.046,1384.24 901.126,1384.24 903.206,1384.24 905.285,1384.24 907.365,1384.24 909.445,1384.24 911.524,1384.24 913.604,1384.24 915.684,1384.24 917.763,1384.24 \n  919.843,1384.24 921.923,1384.24 924.003,1384.24 926.082,1384.24 928.162,1384.24 930.242,1384.24 932.321,1384.24 934.401,1384.24 936.481,1384.24 938.56,1384.24 \n  940.64,1384.24 942.72,1384.24 944.8,1384.24 946.879,1384.24 948.959,1384.24 951.039,1384.24 953.118,1384.24 955.198,1384.24 957.278,1384.24 959.357,1384.24 \n  961.437,1384.24 963.517,1384.24 965.597,1384.24 967.676,1384.24 969.756,1384.24 971.836,1384.24 973.915,1384.24 975.995,1384.24 978.075,1384.24 980.154,1384.24 \n  982.234,1384.24 984.314,1384.24 986.394,1384.24 988.473,1384.24 990.553,1384.24 992.633,1384.24 994.712,1384.24 996.792,1384.24 998.872,1384.24 1000.95,1384.24 \n  1003.03,1384.24 1005.11,1384.24 1007.19,1384.24 1009.27,1384.24 1011.35,1384.24 1013.43,1384.24 1015.51,1384.24 1017.59,1384.24 1019.67,1384.24 1021.75,1384.24 \n  1023.83,1384.24 1025.91,1384.24 1027.99,1384.24 1030.07,1384.24 1032.15,1384.24 1034.23,1384.24 1036.31,1384.24 1038.39,1384.24 1040.47,1384.24 1042.55,1384.24 \n  1044.63,1384.24 1046.7,1384.24 1048.78,1384.24 1050.86,1384.24 1052.94,1384.24 1055.02,1384.24 1057.1,1384.24 1059.18,1384.24 1061.26,1384.24 1063.34,1384.24 \n  1065.42,1384.24 1067.5,1384.24 1069.58,1384.24 1071.66,1384.24 1073.74,1384.24 1075.82,1384.24 1077.9,1384.24 1079.98,1384.24 1082.06,1384.24 1084.14,1384.24 \n  1086.22,1384.24 1088.3,1384.24 1090.38,1384.24 1092.46,1384.24 1094.54,1384.24 1096.62,1384.24 1098.7,1384.24 1100.78,1384.24 1102.86,1384.24 1104.94,1384.24 \n  1107.02,1384.24 1109.1,1384.24 1111.18,1384.24 1113.26,1384.24 1115.33,1384.24 1117.41,1384.24 1119.49,1384.24 1121.57,1384.24 1123.65,1384.24 1125.73,1384.24 \n  1127.81,1384.24 1129.89,1384.24 1131.97,1384.24 1134.05,1384.24 1136.13,1384.24 1138.21,1384.24 1140.29,1384.24 1142.37,1384.24 1144.45,1384.24 1146.53,1384.24 \n  1148.61,1384.24 1150.69,1384.24 1152.77,1384.24 1154.85,1384.24 1156.93,1384.24 1159.01,1384.24 1161.09,1384.24 1163.17,1384.24 1165.25,1384.24 1167.33,1384.24 \n  1169.41,1384.24 1171.49,1384.24 1173.57,1384.24 1175.65,1384.24 1177.73,1384.24 1179.81,1384.24 1181.89,1384.24 1183.96,1384.24 1186.04,1384.24 1188.12,1384.24 \n  1190.2,1384.24 1192.28,1384.24 1194.36,1384.24 1196.44,1384.24 1198.52,1384.24 1200.6,1384.24 1202.68,1384.24 1204.76,1384.24 1206.84,1384.24 1208.92,1384.24 \n  1211,1384.24 1213.08,1384.24 1215.16,1384.24 1217.24,1384.24 1219.32,1384.24 1221.4,1384.24 1223.48,1384.24 1225.56,1384.24 1227.64,1384.24 1229.72,1384.24 \n  1231.8,1384.24 1233.88,1384.24 1235.96,1384.24 1238.04,1384.24 1240.12,1384.24 1242.2,1384.24 1244.28,1384.24 1246.36,1384.24 1248.44,1384.24 1250.52,1384.24 \n  1252.6,1384.24 1254.67,1384.24 1256.75,1384.24 1258.83,1384.24 1260.91,1384.24 1262.99,1384.24 1265.07,1384.24 1267.15,1384.24 1269.23,1384.24 1271.31,1384.24 \n  1273.39,1384.24 1275.47,1384.24 1277.55,1384.24 1279.63,1384.24 1281.71,1384.24 1283.79,1384.24 1285.87,1384.24 1287.95,1384.24 1290.03,1384.24 1292.11,1384.24 \n  1294.19,1384.24 1296.27,1384.24 1298.35,1384.24 1300.43,1384.24 1302.51,1384.24 1304.59,1384.24 1306.67,1384.24 1308.75,1384.24 1310.83,1384.24 1312.91,1384.24 \n  1314.99,1384.24 1317.07,1384.24 1319.15,1384.24 1321.23,1384.24 1323.3,1384.24 1325.38,1384.24 1327.46,1384.24 1329.54,1384.24 1331.62,1384.24 1333.7,1384.24 \n  1335.78,1384.24 1337.86,1384.24 1339.94,1384.24 1342.02,1384.24 1344.1,1384.24 1346.18,1384.24 1348.26,1384.24 1350.34,1384.24 1352.42,1384.24 1354.5,1384.24 \n  1356.58,1384.24 1358.66,1384.24 1360.74,1384.24 1362.82,1384.24 1364.9,1384.24 1366.98,1384.24 1369.06,1384.24 1371.14,1384.24 1373.22,1384.24 1375.3,1384.24 \n  1377.38,1384.24 1379.46,1384.24 1381.54,1384.24 1383.62,1384.24 1385.7,1384.24 1387.78,1384.24 1389.86,1384.24 1391.93,1384.24 1394.01,1384.24 1396.09,1384.24 \n  1398.17,1384.24 1400.25,1384.24 1402.33,1384.24 1404.41,1384.24 1406.49,1384.24 1408.57,1384.24 1410.65,1384.24 1412.73,1384.24 1414.81,1384.24 1416.89,1384.24 \n  1418.97,1384.24 1421.05,1384.24 1423.13,1384.24 1425.21,1384.24 1427.29,1384.24 1429.37,1384.24 1431.45,1384.24 1433.53,1384.24 1435.61,1384.24 1437.69,1384.24 \n  1439.77,1384.24 1441.85,1384.24 1443.93,1384.24 1446.01,1384.24 1448.09,1384.24 1450.17,1384.24 1452.25,1384.24 1454.33,1384.24 1456.41,1384.24 1458.49,1384.24 \n  1460.56,1384.24 1462.64,1384.24 1464.72,1384.24 1466.8,1384.24 1468.88,1384.24 1470.96,1384.24 1473.04,1384.24 1475.12,1384.24 1477.2,1384.24 1479.28,1384.24 \n  1481.36,1384.24 1483.44,1384.24 1485.52,1384.24 1487.6,1384.24 1489.68,1384.24 1491.76,1384.24 1493.84,1384.24 1495.92,1384.24 1498,1384.24 1500.08,1384.24 \n  1502.16,1384.24 1504.24,1384.24 1506.32,1384.24 1508.4,1384.24 1510.48,1384.24 1512.56,1384.24 1514.64,1384.24 1516.72,1384.24 1518.8,1384.24 1520.88,1384.24 \n  1522.96,1384.24 1525.04,1384.24 1527.12,1384.24 1529.2,1384.24 1531.27,1384.24 1533.35,1384.24 1535.43,1384.24 1537.51,1384.24 1539.59,1384.24 1541.67,1384.24 \n  1543.75,1384.24 1545.83,1384.24 1547.91,1384.24 1549.99,1384.24 1552.07,1384.24 1554.15,1384.24 1556.23,1384.24 1558.31,1384.24 1560.39,1384.24 1562.47,1384.24 \n  1564.55,1384.24 1566.63,1384.24 1568.71,1384.24 1570.79,1384.24 1572.87,1384.24 1574.95,1384.24 1577.03,1384.24 1579.11,1384.24 1581.19,1384.24 1583.27,1384.24 \n  1585.35,1384.24 1587.43,1384.24 1589.51,1384.24 1591.59,1384.24 1593.67,1384.24 1595.75,1384.24 1597.83,1384.24 1599.9,1384.24 1601.98,1384.24 1604.06,1384.24 \n  1606.14,1384.24 1608.22,1384.24 1610.3,1384.24 1612.38,1384.24 1614.46,1384.24 1616.54,1384.24 1618.62,1384.24 1620.7,1384.24 1622.78,1384.24 1624.86,1384.24 \n  1626.94,1384.24 1629.02,1384.24 1631.1,1384.24 1633.18,1384.24 1635.26,1384.24 1637.34,1384.24 1639.42,1384.24 1641.5,1384.24 1643.58,1384.24 1645.66,1384.24 \n  1647.74,1384.24 1649.82,1384.24 1651.9,1384.24 1653.98,1384.24 1656.06,1384.24 1658.14,1384.24 1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 2040.8,1384.24 \n  2042.88,1384.24 2044.96,1384.24 2047.04,1384.24 2049.12,1384.24 2051.2,1384.24 2053.28,1384.24 2055.36,1384.24 2057.44,1384.24 2059.52,1384.24 2061.6,1384.24 \n  2063.68,1384.24 2065.76,1384.24 2067.84,1384.24 2069.92,1384.24 2072,1384.24 2074.08,1384.24 2076.16,1384.24 2078.24,1384.24 2080.32,1384.24 2082.4,1384.24 \n  2084.47,1384.24 2086.55,1384.24 2088.63,1384.24 2090.71,1384.24 2092.79,1384.24 2094.87,1384.24 2096.95,1384.24 2099.03,1384.24 2101.11,1384.24 2103.19,1384.24 \n  2105.27,1384.24 2107.35,1384.24 2109.43,1384.24 2111.51,1384.24 2113.59,1384.24 2115.67,1384.24 2117.75,1384.24 2119.83,1384.24 2121.91,1384.24 2123.99,1384.24 \n  2126.07,1384.24 2128.15,1384.24 2130.23,1384.24 2132.31,1384.24 2134.39,1384.24 2136.47,1384.24 2138.55,1384.24 2140.63,1384.24 2142.71,1384.24 2144.79,1384.24 \n  2146.87,1384.24 2148.95,1384.24 2151.03,1384.24 2153.1,1384.24 2155.18,1384.24 2157.26,1384.24 2159.34,1384.24 2161.42,1384.24 2163.5,1384.24 2165.58,1384.24 \n  2167.66,1384.24 2169.74,1384.24 2171.82,1384.24 2173.9,1384.24 2175.98,1384.24 2178.06,1384.24 2180.14,1384.24 2182.22,1384.24 2184.3,1384.24 2186.38,1384.24 \n  2188.46,1384.24 2190.54,1384.24 2192.62,1384.24 2194.7,1384.24 2196.78,1384.24 2198.86,1384.24 2200.94,1384.24 2203.02,1384.24 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1117.41,1384.24 1119.49,1384.24 1121.57,1384.24 1123.65,1384.24 1125.73,1384.24 \n  1127.81,1384.24 1129.89,1384.24 1131.97,1384.24 1134.05,1384.24 1136.13,1384.24 1138.21,1384.24 1140.29,1384.24 1142.37,1384.24 1144.45,1384.24 1146.53,1384.24 \n  1148.61,1384.24 1150.69,1384.24 1152.77,1384.24 1154.85,1384.24 1156.93,1384.24 1159.01,1384.24 1161.09,1384.24 1163.17,1384.24 1165.25,1384.24 1167.33,1384.24 \n  1169.41,1384.24 1171.49,1384.24 1173.57,1384.24 1175.65,1384.24 1177.73,1384.24 1179.81,1384.24 1181.89,1384.24 1183.96,1384.24 1186.04,1384.24 1188.12,1384.24 \n  1190.2,1384.24 1192.28,1384.24 1194.36,1384.24 1196.44,1384.24 1198.52,1384.24 1200.6,1384.24 1202.68,1384.24 1204.76,1384.24 1206.84,1384.24 1208.92,1384.24 \n  1211,1384.24 1213.08,1384.24 1215.16,1384.24 1217.24,1384.24 1219.32,1384.24 1221.4,1384.24 1223.48,1384.24 1225.56,1384.24 1227.64,1384.24 1229.72,1384.24 \n  1231.8,1384.24 1233.88,1384.24 1235.96,1384.24 1238.04,1384.24 1240.12,1384.24 1242.2,1384.24 1244.28,1384.24 1246.36,1384.24 1248.44,1384.24 1250.52,1384.24 \n  1252.6,1384.24 1254.67,1384.24 1256.75,1384.24 1258.83,1384.24 1260.91,1384.24 1262.99,1384.24 1265.07,1384.24 1267.15,1384.24 1269.23,1384.24 1271.31,1384.24 \n  1273.39,1384.24 1275.47,1384.24 1277.55,1384.24 1279.63,1384.24 1281.71,1384.24 1283.79,1384.24 1285.87,1384.24 1287.95,1384.24 1290.03,1384.24 1292.11,1384.24 \n  1294.19,1384.24 1296.27,1384.24 1298.35,1384.24 1300.43,1384.24 1302.51,1384.24 1304.59,1384.24 1306.67,1384.24 1308.75,1384.24 1310.83,1384.24 1312.91,1384.24 \n  1314.99,1384.24 1317.07,1384.24 1319.15,1384.24 1321.23,1384.24 1323.3,1384.24 1325.38,1384.24 1327.46,1384.24 1329.54,1384.24 1331.62,1384.24 1333.7,1384.24 \n  1335.78,1384.24 1337.86,1384.24 1339.94,1384.24 1342.02,1384.24 1344.1,1384.24 1346.18,1384.24 1348.26,1384.24 1350.34,1384.24 1352.42,1384.24 1354.5,1384.24 \n  1356.58,1384.24 1358.66,1384.24 1360.74,1384.24 1362.82,1384.24 1364.9,1384.24 1366.98,1384.24 1369.06,1384.24 1371.14,1384.24 1373.22,1384.24 1375.3,1384.24 \n  1377.38,1384.24 1379.46,1384.24 1381.54,1384.24 1383.62,1384.24 1385.7,1384.24 1387.78,1384.24 1389.86,1384.24 1391.93,1384.24 1394.01,1384.24 1396.09,1384.24 \n  1398.17,1384.24 1400.25,1384.24 1402.33,1384.24 1404.41,1384.24 1406.49,1384.24 1408.57,1384.24 1410.65,1384.24 1412.73,1384.24 1414.81,1384.24 1416.89,1384.24 \n  1418.97,1384.24 1421.05,1384.24 1423.13,1384.24 1425.21,1384.24 1427.29,1384.24 1429.37,1384.24 1431.45,1384.24 1433.53,1384.24 1435.61,1384.24 1437.69,1384.24 \n  1439.77,1384.24 1441.85,1384.24 1443.93,1384.24 1446.01,1384.24 1448.09,1384.24 1450.17,1384.24 1452.25,1384.24 1454.33,1384.24 1456.41,1384.24 1458.49,1384.24 \n  1460.56,1384.24 1462.64,1384.24 1464.72,1384.24 1466.8,1384.24 1468.88,1384.24 1470.96,1384.24 1473.04,1384.24 1475.12,1384.24 1477.2,1384.24 1479.28,1384.24 \n  1481.36,1384.24 1483.44,1384.24 1485.52,1384.24 1487.6,1384.24 1489.68,1384.24 1491.76,1384.24 1493.84,1384.24 1495.92,1384.24 1498,1384.24 1500.08,1384.24 \n  1502.16,1384.24 1504.24,1384.24 1506.32,1384.24 1508.4,1384.24 1510.48,1384.24 1512.56,1384.24 1514.64,1384.24 1516.72,1384.24 1518.8,1384.24 1520.88,1384.24 \n  1522.96,1384.24 1525.04,1384.24 1527.12,1384.24 1529.2,1384.24 1531.27,1384.24 1533.35,1384.24 1535.43,1384.24 1537.51,1384.24 1539.59,1384.24 1541.67,1384.24 \n  1543.75,1384.24 1545.83,1384.24 1547.91,1384.24 1549.99,1384.24 1552.07,1384.24 1554.15,1384.24 1556.23,1384.24 1558.31,1384.24 1560.39,1384.24 1562.47,1384.24 \n  1564.55,1384.24 1566.63,1384.24 1568.71,1384.24 1570.79,1384.24 1572.87,1384.24 1574.95,1384.24 1577.03,1384.24 1579.11,1384.24 1581.19,1384.24 1583.27,1384.24 \n  1585.35,1384.24 1587.43,1384.24 1589.51,1384.24 1591.59,1384.24 1593.67,1384.24 1595.75,1384.24 1597.83,1384.24 1599.9,1384.24 1601.98,1384.24 1604.06,1384.24 \n  1606.14,1384.24 1608.22,1384.24 1610.3,1384.24 1612.38,1384.24 1614.46,1384.24 1616.54,1384.24 1618.62,1384.24 1620.7,1384.24 1622.78,1384.24 1624.86,1384.24 \n  1626.94,1384.24 1629.02,1384.24 1631.1,1384.24 1633.18,1384.24 1635.26,1384.24 1637.34,1384.24 1639.42,1384.24 1641.5,1384.24 1643.58,1384.24 1645.66,1384.24 \n  1647.74,1384.24 1649.82,1384.24 1651.9,1384.24 1653.98,1384.24 1656.06,1384.24 1658.14,1384.24 1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 2040.8,1384.24 \n  2042.88,1384.24 2044.96,1384.24 2047.04,1384.24 2049.12,1384.24 2051.2,1384.24 2053.28,1384.24 2055.36,1384.24 2057.44,1384.24 2059.52,1384.24 2061.6,1384.24 \n  2063.68,1384.24 2065.76,1384.24 2067.84,1384.24 2069.92,1384.24 2072,1384.24 2074.08,1384.24 2076.16,1384.24 2078.24,1384.24 2080.32,1384.24 2082.4,1384.24 \n  2084.47,1384.24 2086.55,1384.24 2088.63,1384.24 2090.71,1384.24 2092.79,1384.24 2094.87,1384.24 2096.95,1384.24 2099.03,1384.24 2101.11,1384.24 2103.19,1384.24 \n  2105.27,1384.24 2107.35,1384.24 2109.43,1384.24 2111.51,1384.24 2113.59,1384.24 2115.67,1384.24 2117.75,1384.24 2119.83,1384.24 2121.91,1384.24 2123.99,1384.24 \n  2126.07,1384.24 2128.15,1384.24 2130.23,1384.24 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1171.49,1384.24 1173.57,1384.24 1175.65,1384.24 1177.73,1384.24 1179.81,1384.24 1181.89,1384.24 1183.96,1384.24 1186.04,1384.24 1188.12,1384.24 \n  1190.2,1384.24 1192.28,1384.24 1194.36,1384.24 1196.44,1384.24 1198.52,1384.24 1200.6,1384.24 1202.68,1384.24 1204.76,1384.24 1206.84,1384.24 1208.92,1384.24 \n  1211,1384.24 1213.08,1384.24 1215.16,1384.24 1217.24,1384.24 1219.32,1384.24 1221.4,1384.24 1223.48,1384.24 1225.56,1384.24 1227.64,1384.24 1229.72,1384.24 \n  1231.8,1384.24 1233.88,1384.24 1235.96,1384.24 1238.04,1384.24 1240.12,1384.24 1242.2,1384.24 1244.28,1384.24 1246.36,1384.24 1248.44,1384.24 1250.52,1384.24 \n  1252.6,1384.24 1254.67,1384.24 1256.75,1384.24 1258.83,1384.24 1260.91,1384.24 1262.99,1384.24 1265.07,1384.24 1267.15,1384.24 1269.23,1384.24 1271.31,1384.24 \n  1273.39,1384.24 1275.47,1384.24 1277.55,1384.24 1279.63,1384.24 1281.71,1384.24 1283.79,1384.24 1285.87,1384.24 1287.95,1384.24 1290.03,1384.24 1292.11,1384.24 \n  1294.19,1384.24 1296.27,1384.24 1298.35,1384.24 1300.43,1384.24 1302.51,1384.24 1304.59,1384.24 1306.67,1384.24 1308.75,1384.24 1310.83,1384.24 1312.91,1384.24 \n  1314.99,1384.24 1317.07,1384.24 1319.15,1384.24 1321.23,1384.24 1323.3,1384.24 1325.38,1384.24 1327.46,1384.24 1329.54,1384.24 1331.62,1384.24 1333.7,1384.24 \n  1335.78,1384.24 1337.86,1384.24 1339.94,1384.24 1342.02,1384.24 1344.1,1384.24 1346.18,1384.24 1348.26,1384.24 1350.34,1384.24 1352.42,1384.24 1354.5,1384.24 \n  1356.58,1384.24 1358.66,1384.24 1360.74,1384.24 1362.82,1384.24 1364.9,1384.24 1366.98,1384.24 1369.06,1384.24 1371.14,1384.24 1373.22,1384.24 1375.3,1384.24 \n  1377.38,1384.24 1379.46,1384.24 1381.54,1384.24 1383.62,1384.24 1385.7,1384.24 1387.78,1384.24 1389.86,1384.24 1391.93,1384.24 1394.01,1384.24 1396.09,1384.24 \n  1398.17,1384.24 1400.25,1384.24 1402.33,1384.24 1404.41,1384.24 1406.49,1384.24 1408.57,1384.24 1410.65,1384.24 1412.73,1384.24 1414.81,1384.24 1416.89,1384.24 \n  1418.97,1384.24 1421.05,1384.24 1423.13,1384.24 1425.21,1384.24 1427.29,1384.24 1429.37,1384.24 1431.45,1384.24 1433.53,1384.24 1435.61,1384.24 1437.69,1384.24 \n  1439.77,1384.24 1441.85,1384.24 1443.93,1384.24 1446.01,1384.24 1448.09,1384.24 1450.17,1384.24 1452.25,1384.24 1454.33,1384.24 1456.41,1384.24 1458.49,1384.24 \n  1460.56,1384.24 1462.64,1384.24 1464.72,1384.24 1466.8,1384.24 1468.88,1384.24 1470.96,1384.24 1473.04,1384.24 1475.12,1384.24 1477.2,1384.24 1479.28,1384.24 \n  1481.36,1384.24 1483.44,1384.24 1485.52,1384.24 1487.6,1384.24 1489.68,1384.24 1491.76,1384.24 1493.84,1384.24 1495.92,1384.24 1498,1384.24 1500.08,1384.24 \n  1502.16,1384.24 1504.24,1384.24 1506.32,1384.24 1508.4,1384.24 1510.48,1384.24 1512.56,1384.24 1514.64,1384.24 1516.72,1384.24 1518.8,1384.24 1520.88,1384.24 \n  1522.96,1384.24 1525.04,1384.24 1527.12,1384.24 1529.2,1384.24 1531.27,1384.24 1533.35,1384.24 1535.43,1384.24 1537.51,1384.24 1539.59,1384.24 1541.67,1384.24 \n  1543.75,1384.24 1545.83,1384.24 1547.91,1384.24 1549.99,1384.24 1552.07,1384.24 1554.15,1384.24 1556.23,1384.24 1558.31,1384.24 1560.39,1384.24 1562.47,1384.24 \n  1564.55,1384.24 1566.63,1384.24 1568.71,1384.24 1570.79,1384.24 1572.87,1384.24 1574.95,1384.24 1577.03,1384.24 1579.11,1384.24 1581.19,1384.24 1583.27,1384.24 \n  1585.35,1384.24 1587.43,1384.24 1589.51,1384.24 1591.59,1384.24 1593.67,1384.24 1595.75,1384.24 1597.83,1384.24 1599.9,1384.24 1601.98,1384.24 1604.06,1384.24 \n  1606.14,1384.24 1608.22,1384.24 1610.3,1384.24 1612.38,1384.24 1614.46,1384.24 1616.54,1384.24 1618.62,1384.24 1620.7,1384.24 1622.78,1384.24 1624.86,1384.24 \n  1626.94,1384.24 1629.02,1384.24 1631.1,1384.24 1633.18,1384.24 1635.26,1384.24 1637.34,1384.24 1639.42,1384.24 1641.5,1384.24 1643.58,1384.24 1645.66,1384.24 \n  1647.74,1384.24 1649.82,1384.24 1651.9,1384.24 1653.98,1384.24 1656.06,1384.24 1658.14,1384.24 1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 2040.8,1384.24 \n  2042.88,1384.24 2044.96,1384.24 2047.04,1384.24 2049.12,1384.24 2051.2,1384.24 2053.28,1384.24 2055.36,1384.24 2057.44,1384.24 2059.52,1384.24 2061.6,1384.24 \n  2063.68,1384.24 2065.76,1384.24 2067.84,1384.24 2069.92,1384.24 2072,1384.24 2074.08,1384.24 2076.16,1384.24 2078.24,1384.24 2080.32,1384.24 2082.4,1384.24 \n  2084.47,1384.24 2086.55,1384.24 2088.63,1384.24 2090.71,1384.24 2092.79,1384.24 2094.87,1384.24 2096.95,1384.24 2099.03,1384.24 2101.11,1384.24 2103.19,1384.24 \n  2105.27,1384.24 2107.35,1384.24 2109.43,1384.24 2111.51,1384.24 2113.59,1384.24 2115.67,1384.24 2117.75,1384.24 2119.83,1384.24 2121.91,1384.24 2123.99,1384.24 \n  2126.07,1384.24 2128.15,1384.24 2130.23,1384.24 2132.31,1384.24 2134.39,1384.24 2136.47,1384.24 2138.55,1384.24 2140.63,1384.24 2142.71,1384.24 2144.79,1384.24 \n  2146.87,1384.24 2148.95,1384.24 2151.03,1384.24 2153.1,1384.24 2155.18,1384.24 2157.26,1384.24 2159.34,1384.24 2161.42,1384.24 2163.5,1384.24 2165.58,1384.24 \n  2167.66,1384.24 2169.74,1384.24 2171.82,1384.24 2173.9,1384.24 2175.98,1384.24 2178.06,1384.24 2180.14,1384.24 2182.22,1384.24 2184.3,1384.24 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464.389,1384.24 466.469,1384.24 468.548,1384.24 470.628,1384.24 472.708,1384.24 474.787,1384.24 476.867,1384.24 478.947,1384.24 481.027,1384.24 \n  483.106,1384.24 485.186,1384.24 487.266,1384.24 489.345,1384.24 491.425,1384.24 493.505,1384.24 495.584,1384.24 497.664,1384.24 499.744,1384.24 501.824,1384.24 \n  503.903,1384.24 505.983,1384.24 508.063,1384.24 510.142,1384.24 512.222,1384.24 514.302,1384.24 516.381,1384.24 518.461,1384.24 520.541,1384.24 522.621,1384.24 \n  524.7,1384.24 526.78,1384.24 528.86,1384.24 530.939,1384.24 533.019,1384.24 535.099,1384.24 537.178,1384.24 539.258,1384.24 541.338,1384.24 543.418,1384.24 \n  545.497,1384.24 547.577,1384.24 549.657,1384.24 551.736,1384.24 553.816,1384.24 555.896,1384.24 557.975,1384.24 560.055,1384.24 562.135,1384.24 564.215,1384.24 \n  566.294,1384.24 568.374,1384.24 570.454,1384.24 572.533,1384.24 574.613,1384.24 576.693,1384.24 578.772,1384.24 580.852,1384.24 582.932,1384.24 585.012,1384.24 \n  587.091,1384.24 589.171,1384.24 591.251,1384.24 593.33,1384.24 595.41,1384.24 597.49,1384.24 599.569,1384.24 601.649,1384.24 603.729,1384.24 605.809,1384.24 \n  607.888,1384.24 609.968,1384.24 612.048,1384.24 614.127,1384.24 616.207,1384.24 618.287,1384.24 620.366,1384.24 622.446,1384.24 624.526,1384.24 626.606,1384.24 \n  628.685,1384.24 630.765,1384.24 632.845,1384.24 634.924,1384.24 637.004,1384.24 639.084,1384.24 641.163,1384.24 643.243,1384.24 645.323,1384.24 647.403,1384.24 \n  649.482,1384.24 651.562,1384.24 653.642,1384.24 655.721,1384.24 657.801,1384.24 659.881,1384.24 661.96,1384.24 664.04,1384.24 666.12,1384.24 668.2,1384.24 \n  670.279,1384.24 672.359,1384.24 674.439,1384.24 676.518,1384.24 678.598,1384.24 680.678,1384.24 682.757,1384.24 684.837,1384.24 686.917,1384.24 688.997,1384.24 \n  691.076,1384.24 693.156,1384.24 695.236,1384.24 697.315,1384.24 699.395,1384.24 701.475,1384.24 703.554,1384.24 705.634,1384.24 707.714,1384.24 709.794,1384.24 \n  711.873,1384.24 713.953,1384.24 716.033,1384.24 718.112,1384.24 720.192,1384.24 722.272,1384.24 724.351,1384.24 726.431,1384.24 728.511,1384.24 730.591,1384.24 \n  732.67,1384.24 734.75,1384.24 736.83,1384.24 738.909,1384.24 740.989,1384.24 743.069,1384.24 745.148,1384.24 747.228,1384.24 749.308,1384.24 751.387,1384.24 \n  753.467,1384.24 755.547,1384.24 757.627,1384.24 759.706,1384.24 761.786,1384.24 763.866,1384.24 765.945,1384.24 768.025,1384.24 770.105,1384.24 772.184,1384.24 \n  774.264,1384.24 776.344,1384.24 778.424,1384.24 780.503,1384.24 782.583,1384.24 784.663,1384.24 786.742,1384.24 788.822,1384.24 790.902,1384.24 792.981,1384.24 \n  795.061,1384.24 797.141,1384.24 799.221,1384.24 801.3,1384.24 803.38,1384.24 805.46,1384.24 807.539,1384.24 809.619,1384.24 811.699,1384.24 813.778,1384.24 \n  815.858,1384.24 817.938,1384.24 820.018,1384.24 822.097,1384.24 824.177,1384.24 826.257,1384.24 828.336,1384.24 830.416,1384.24 832.496,1384.24 834.575,1384.24 \n  836.655,1384.24 838.735,1384.24 840.815,1384.24 842.894,1384.24 844.974,1384.24 847.054,1384.24 849.133,1384.24 851.213,1384.24 853.293,1384.24 855.372,1384.24 \n  857.452,1384.24 859.532,1384.24 861.612,1384.24 863.691,1384.24 865.771,1384.24 867.851,1384.24 869.93,1384.24 872.01,1384.24 874.09,1384.24 876.169,1384.24 \n  878.249,1384.24 880.329,1384.24 882.409,1384.24 884.488,1384.24 886.568,1384.24 888.648,1384.24 890.727,1384.24 892.807,1384.24 894.887,1384.24 896.966,1384.24 \n  899.046,1384.24 901.126,1384.24 903.206,1384.24 905.285,1384.24 907.365,1384.24 909.445,1384.24 911.524,1384.24 913.604,1384.24 915.684,1384.24 917.763,1384.24 \n  919.843,1384.24 921.923,1384.24 924.003,1384.24 926.082,1384.24 928.162,1384.24 930.242,1384.24 932.321,1384.24 934.401,1384.24 936.481,1384.24 938.56,1384.24 \n  940.64,1384.24 942.72,1384.24 944.8,1384.24 946.879,1384.24 948.959,1384.24 951.039,1384.24 953.118,1384.24 955.198,1384.24 957.278,1384.24 959.357,1384.24 \n  961.437,1384.24 963.517,1384.24 965.597,1384.24 967.676,1384.24 969.756,1384.24 971.836,1384.24 973.915,1384.24 975.995,1384.24 978.075,1384.24 980.154,1384.24 \n  982.234,1384.24 984.314,1384.24 986.394,1384.24 988.473,1384.24 990.553,1384.24 992.633,1384.24 994.712,1384.24 996.792,1384.24 998.872,1384.24 1000.95,1384.24 \n  1003.03,1384.24 1005.11,1384.24 1007.19,1384.24 1009.27,1384.24 1011.35,1384.24 1013.43,1384.24 1015.51,1384.24 1017.59,1384.24 1019.67,1384.24 1021.75,1384.24 \n  1023.83,1384.24 1025.91,1384.24 1027.99,1384.24 1030.07,1384.24 1032.15,1384.24 1034.23,1384.24 1036.31,1384.24 1038.39,1384.24 1040.47,1384.24 1042.55,1384.24 \n  1044.63,1384.24 1046.7,1384.24 1048.78,1384.24 1050.86,1384.24 1052.94,1384.24 1055.02,1384.24 1057.1,1384.24 1059.18,1384.24 1061.26,1384.24 1063.34,1384.24 \n  1065.42,1384.24 1067.5,1384.24 1069.58,1384.24 1071.66,1384.24 1073.74,1384.24 1075.82,1384.24 1077.9,1384.24 1079.98,1384.24 1082.06,1384.24 1084.14,1384.24 \n  1086.22,1384.24 1088.3,1384.24 1090.38,1384.24 1092.46,1384.24 1094.54,1384.24 1096.62,1384.24 1098.7,1384.24 1100.78,1384.24 1102.86,1384.24 1104.94,1384.24 \n  1107.02,1384.24 1109.1,1384.24 1111.18,1384.24 1113.26,1384.24 1115.33,1384.24 1117.41,1384.24 1119.49,1384.24 1121.57,1384.24 1123.65,1384.24 1125.73,1384.24 \n  1127.81,1384.24 1129.89,1384.24 1131.97,1384.24 1134.05,1384.24 1136.13,1384.24 1138.21,1384.24 1140.29,1384.24 1142.37,1384.24 1144.45,1384.24 1146.53,1384.24 \n  1148.61,1384.24 1150.69,1384.24 1152.77,1384.24 1154.85,1384.24 1156.93,1384.24 1159.01,1384.24 1161.09,1384.24 1163.17,1384.24 1165.25,1384.24 1167.33,1384.24 \n  1169.41,1384.24 1171.49,1384.24 1173.57,1384.24 1175.65,1384.24 1177.73,1384.24 1179.81,1384.24 1181.89,1384.24 1183.96,1384.24 1186.04,1384.24 1188.12,1384.24 \n  1190.2,1384.24 1192.28,1384.24 1194.36,1384.24 1196.44,1384.24 1198.52,1384.24 1200.6,1384.24 1202.68,1384.24 1204.76,1384.24 1206.84,1384.24 1208.92,1384.24 \n  1211,1384.24 1213.08,1384.24 1215.16,1384.24 1217.24,1384.24 1219.32,1384.24 1221.4,1384.24 1223.48,1384.24 1225.56,1384.24 1227.64,1384.24 1229.72,1384.24 \n  1231.8,1384.24 1233.88,1384.24 1235.96,1384.24 1238.04,1384.24 1240.12,1384.24 1242.2,1384.24 1244.28,1384.24 1246.36,1384.24 1248.44,1384.24 1250.52,1384.24 \n  1252.6,1384.24 1254.67,1384.24 1256.75,1384.24 1258.83,1384.24 1260.91,1384.24 1262.99,1384.24 1265.07,1384.24 1267.15,1384.24 1269.23,1384.24 1271.31,1384.24 \n  1273.39,1384.24 1275.47,1384.24 1277.55,1384.24 1279.63,1384.24 1281.71,1384.24 1283.79,1384.24 1285.87,1384.24 1287.95,1384.24 1290.03,1384.24 1292.11,1384.24 \n  1294.19,1384.24 1296.27,1384.24 1298.35,1384.24 1300.43,1384.24 1302.51,1384.24 1304.59,1384.24 1306.67,1384.24 1308.75,1384.24 1310.83,1384.24 1312.91,1384.24 \n  1314.99,1384.24 1317.07,1384.24 1319.15,1384.24 1321.23,1384.24 1323.3,1384.24 1325.38,1384.24 1327.46,1384.24 1329.54,1384.24 1331.62,1384.24 1333.7,1384.24 \n  1335.78,1384.24 1337.86,1384.24 1339.94,1384.24 1342.02,1384.24 1344.1,1384.24 1346.18,1384.24 1348.26,1384.24 1350.34,1384.24 1352.42,1384.24 1354.5,1384.24 \n  1356.58,1384.24 1358.66,1384.24 1360.74,1384.24 1362.82,1384.24 1364.9,1384.24 1366.98,1384.24 1369.06,1384.24 1371.14,1384.24 1373.22,1384.24 1375.3,1384.24 \n  1377.38,1384.24 1379.46,1384.24 1381.54,1384.24 1383.62,1384.24 1385.7,1384.24 1387.78,1384.24 1389.86,1384.24 1391.93,1384.24 1394.01,1384.24 1396.09,1384.24 \n  1398.17,1384.24 1400.25,1384.24 1402.33,1384.24 1404.41,1384.24 1406.49,1384.24 1408.57,1384.24 1410.65,1384.24 1412.73,1384.24 1414.81,1384.24 1416.89,1384.24 \n  1418.97,1384.24 1421.05,1384.24 1423.13,1384.24 1425.21,1384.24 1427.29,1384.24 1429.37,1384.24 1431.45,1384.24 1433.53,1384.24 1435.61,1384.24 1437.69,1384.24 \n  1439.77,1384.24 1441.85,1384.24 1443.93,1384.24 1446.01,1384.24 1448.09,1384.24 1450.17,1384.24 1452.25,1384.24 1454.33,1384.24 1456.41,1384.24 1458.49,1384.24 \n  1460.56,1384.24 1462.64,1384.24 1464.72,1384.24 1466.8,1384.24 1468.88,1384.24 1470.96,1384.24 1473.04,1384.24 1475.12,1384.24 1477.2,1384.24 1479.28,1384.24 \n  1481.36,1384.24 1483.44,1384.24 1485.52,1384.24 1487.6,1384.24 1489.68,1384.24 1491.76,1384.24 1493.84,1384.24 1495.92,1384.24 1498,1384.24 1500.08,1384.24 \n  1502.16,1384.24 1504.24,1384.24 1506.32,1384.24 1508.4,1384.24 1510.48,1384.24 1512.56,1384.24 1514.64,1384.24 1516.72,1384.24 1518.8,1384.24 1520.88,1384.24 \n  1522.96,1384.24 1525.04,1384.24 1527.12,1384.24 1529.2,1384.24 1531.27,1384.24 1533.35,1384.24 1535.43,1384.24 1537.51,1384.24 1539.59,1384.24 1541.67,1384.24 \n  1543.75,1384.24 1545.83,1384.24 1547.91,1384.24 1549.99,1384.24 1552.07,1384.24 1554.15,1384.24 1556.23,1384.24 1558.31,1384.24 1560.39,1384.24 1562.47,1384.24 \n  1564.55,1384.24 1566.63,1384.24 1568.71,1384.24 1570.79,1384.24 1572.87,1384.24 1574.95,1384.24 1577.03,1384.24 1579.11,1384.24 1581.19,1384.24 1583.27,1384.24 \n  1585.35,1384.24 1587.43,1384.24 1589.51,1384.24 1591.59,1384.24 1593.67,1384.24 1595.75,1384.24 1597.83,1384.24 1599.9,1384.24 1601.98,1384.24 1604.06,1384.24 \n  1606.14,1384.24 1608.22,1384.24 1610.3,1384.24 1612.38,1384.24 1614.46,1384.24 1616.54,1384.24 1618.62,1384.24 1620.7,1384.24 1622.78,1384.24 1624.86,1384.24 \n  1626.94,1384.24 1629.02,1384.24 1631.1,1384.24 1633.18,1384.24 1635.26,1384.24 1637.34,1384.24 1639.42,1384.24 1641.5,1384.24 1643.58,1384.24 1645.66,1384.24 \n  1647.74,1384.24 1649.82,1384.24 1651.9,1384.24 1653.98,1384.24 1656.06,1384.24 1658.14,1384.24 1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 2040.8,1384.24 \n  2042.88,1384.24 2044.96,1384.24 2047.04,1384.24 2049.12,1384.24 2051.2,1384.24 2053.28,1384.24 2055.36,1384.24 2057.44,1384.24 2059.52,1384.24 2061.6,1384.24 \n  2063.68,1384.24 2065.76,1384.24 2067.84,1384.24 2069.92,1384.24 2072,1384.24 2074.08,1384.24 2076.16,1384.24 2078.24,1384.24 2080.32,1384.24 2082.4,1384.24 \n  2084.47,1384.24 2086.55,1384.24 2088.63,1384.24 2090.71,1384.24 2092.79,1384.24 2094.87,1384.24 2096.95,1384.24 2099.03,1384.24 2101.11,1384.24 2103.19,1384.24 \n  2105.27,1384.24 2107.35,1384.24 2109.43,1384.24 2111.51,1384.24 2113.59,1384.24 2115.67,1384.24 2117.75,1384.24 2119.83,1384.24 2121.91,1384.24 2123.99,1384.24 \n  2126.07,1384.24 2128.15,1384.24 2130.23,1384.24 2132.31,1384.24 2134.39,1384.24 2136.47,1384.24 2138.55,1384.24 2140.63,1384.24 2142.71,1384.24 2144.79,1384.24 \n  2146.87,1384.24 2148.95,1384.24 2151.03,1384.24 2153.1,1384.24 2155.18,1384.24 2157.26,1384.24 2159.34,1384.24 2161.42,1384.24 2163.5,1384.24 2165.58,1384.24 \n  2167.66,1384.24 2169.74,1384.24 2171.82,1384.24 2173.9,1384.24 2175.98,1384.24 2178.06,1384.24 2180.14,1384.24 2182.22,1384.24 2184.3,1384.24 2186.38,1384.24 \n  2188.46,1384.24 2190.54,1384.24 2192.62,1384.24 2194.7,1384.24 2196.78,1384.24 2198.86,1384.24 2200.94,1384.24 2203.02,1384.24 2205.1,1384.24 2207.18,1384.24 \n  2209.26,1384.24 2211.34,1384.24 2213.42,1384.24 2215.5,1384.24 2217.58,1384.24 2219.66,1384.24 2221.73,1384.24 2223.81,1384.24 2225.89,1384.24 2227.97,1384.24 \n  2230.05,1384.24 2232.13,1384.24 2234.21,1384.24 2236.29,1384.24 2238.37,1384.24 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1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 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1082.06,1384.24 1084.14,1384.24 \n  1086.22,1384.24 1088.3,1384.24 1090.38,1384.24 1092.46,1384.24 1094.54,1384.24 1096.62,1384.24 1098.7,1384.24 1100.78,1384.24 1102.86,1384.24 1104.94,1384.24 \n  1107.02,1384.24 1109.1,1384.24 1111.18,1384.24 1113.26,1384.24 1115.33,1384.24 1117.41,1384.24 1119.49,1384.24 1121.57,1384.24 1123.65,1384.24 1125.73,1384.24 \n  1127.81,1384.24 1129.89,1384.24 1131.97,1384.24 1134.05,1384.24 1136.13,1384.24 1138.21,1384.24 1140.29,1384.24 1142.37,1384.24 1144.45,1384.24 1146.53,1384.24 \n  1148.61,1384.24 1150.69,1384.24 1152.77,1384.24 1154.85,1384.24 1156.93,1384.24 1159.01,1384.24 1161.09,1384.24 1163.17,1384.24 1165.25,1384.24 1167.33,1384.24 \n  1169.41,1384.24 1171.49,1384.24 1173.57,1384.24 1175.65,1384.24 1177.73,1384.24 1179.81,1384.24 1181.89,1384.24 1183.96,1384.24 1186.04,1384.24 1188.12,1384.24 \n  1190.2,1384.24 1192.28,1384.24 1194.36,1384.24 1196.44,1384.24 1198.52,1384.24 1200.6,1384.24 1202.68,1384.24 1204.76,1384.24 1206.84,1384.24 1208.92,1384.24 \n  1211,1384.24 1213.08,1384.24 1215.16,1384.24 1217.24,1384.24 1219.32,1384.24 1221.4,1384.24 1223.48,1384.24 1225.56,1384.24 1227.64,1384.24 1229.72,1384.24 \n  1231.8,1384.24 1233.88,1384.24 1235.96,1384.24 1238.04,1384.24 1240.12,1384.24 1242.2,1384.24 1244.28,1384.24 1246.36,1384.24 1248.44,1384.24 1250.52,1384.24 \n  1252.6,1384.24 1254.67,1384.24 1256.75,1384.24 1258.83,1384.24 1260.91,1384.24 1262.99,1384.24 1265.07,1384.24 1267.15,1384.24 1269.23,1384.24 1271.31,1384.24 \n  1273.39,1384.24 1275.47,1384.24 1277.55,1384.24 1279.63,1384.24 1281.71,1384.24 1283.79,1384.24 1285.87,1384.24 1287.95,1384.24 1290.03,1384.24 1292.11,1384.24 \n  1294.19,1384.24 1296.27,1384.24 1298.35,1384.24 1300.43,1384.24 1302.51,1384.24 1304.59,1384.24 1306.67,1384.24 1308.75,1384.24 1310.83,1384.24 1312.91,1384.24 \n  1314.99,1384.24 1317.07,1384.24 1319.15,1384.24 1321.23,1384.24 1323.3,1384.24 1325.38,1384.24 1327.46,1384.24 1329.54,1384.24 1331.62,1384.24 1333.7,1384.24 \n  1335.78,1384.24 1337.86,1384.24 1339.94,1384.24 1342.02,1384.24 1344.1,1384.24 1346.18,1384.24 1348.26,1384.24 1350.34,1384.24 1352.42,1384.24 1354.5,1384.24 \n  1356.58,1384.24 1358.66,1384.24 1360.74,1384.24 1362.82,1384.24 1364.9,1384.24 1366.98,1384.24 1369.06,1384.24 1371.14,1384.24 1373.22,1384.24 1375.3,1384.24 \n  1377.38,1384.24 1379.46,1384.24 1381.54,1384.24 1383.62,1384.24 1385.7,1384.24 1387.78,1384.24 1389.86,1384.24 1391.93,1384.24 1394.01,1384.24 1396.09,1384.24 \n  1398.17,1384.24 1400.25,1384.24 1402.33,1384.24 1404.41,1384.24 1406.49,1384.24 1408.57,1384.24 1410.65,1384.24 1412.73,1384.24 1414.81,1384.24 1416.89,1384.24 \n  1418.97,1384.24 1421.05,1384.24 1423.13,1384.24 1425.21,1384.24 1427.29,1384.24 1429.37,1384.24 1431.45,1384.24 1433.53,1384.24 1435.61,1384.24 1437.69,1384.24 \n  1439.77,1384.24 1441.85,1384.24 1443.93,1384.24 1446.01,1384.24 1448.09,1384.24 1450.17,1384.24 1452.25,1384.24 1454.33,1384.24 1456.41,1384.24 1458.49,1384.24 \n  1460.56,1384.24 1462.64,1384.24 1464.72,1384.24 1466.8,1384.24 1468.88,1384.24 1470.96,1384.24 1473.04,1384.24 1475.12,1384.24 1477.2,1384.24 1479.28,1384.24 \n  1481.36,1384.24 1483.44,1384.24 1485.52,1384.24 1487.6,1384.24 1489.68,1384.24 1491.76,1384.24 1493.84,1384.24 1495.92,1384.24 1498,1384.24 1500.08,1384.24 \n  1502.16,1384.24 1504.24,1384.24 1506.32,1384.24 1508.4,1384.24 1510.48,1384.24 1512.56,1384.24 1514.64,1384.24 1516.72,1384.24 1518.8,1384.24 1520.88,1384.24 \n  1522.96,1384.24 1525.04,1384.24 1527.12,1384.24 1529.2,1384.24 1531.27,1384.24 1533.35,1384.24 1535.43,1384.24 1537.51,1384.24 1539.59,1384.24 1541.67,1384.24 \n  1543.75,1384.24 1545.83,1384.24 1547.91,1384.24 1549.99,1384.24 1552.07,1384.24 1554.15,1384.24 1556.23,1384.24 1558.31,1384.24 1560.39,1384.24 1562.47,1384.24 \n  1564.55,1384.24 1566.63,1384.24 1568.71,1384.24 1570.79,1384.24 1572.87,1384.24 1574.95,1384.24 1577.03,1384.24 1579.11,1384.24 1581.19,1384.24 1583.27,1384.24 \n  1585.35,1384.24 1587.43,1384.24 1589.51,1384.24 1591.59,1384.24 1593.67,1384.24 1595.75,1384.24 1597.83,1384.24 1599.9,1384.24 1601.98,1384.24 1604.06,1384.24 \n  1606.14,1384.24 1608.22,1384.24 1610.3,1384.24 1612.38,1384.24 1614.46,1384.24 1616.54,1384.24 1618.62,1384.24 1620.7,1384.24 1622.78,1384.24 1624.86,1384.24 \n  1626.94,1384.24 1629.02,1384.24 1631.1,1384.24 1633.18,1384.24 1635.26,1384.24 1637.34,1384.24 1639.42,1384.24 1641.5,1384.24 1643.58,1384.24 1645.66,1384.24 \n  1647.74,1384.24 1649.82,1384.24 1651.9,1384.24 1653.98,1384.24 1656.06,1384.24 1658.14,1384.24 1660.22,1384.24 1662.3,1384.24 1664.38,1384.24 1666.46,1384.24 \n  1668.53,1384.24 1670.61,1384.24 1672.69,1384.24 1674.77,1384.24 1676.85,1384.24 1678.93,1384.24 1681.01,1384.24 1683.09,1384.24 1685.17,1384.24 1687.25,1384.24 \n  1689.33,1384.24 1691.41,1384.24 1693.49,1384.24 1695.57,1384.24 1697.65,1384.24 1699.73,1384.24 1701.81,1384.24 1703.89,1384.24 1705.97,1384.24 1708.05,1384.24 \n  1710.13,1384.24 1712.21,1384.24 1714.29,1384.24 1716.37,1384.24 1718.45,1384.24 1720.53,1384.24 1722.61,1384.24 1724.69,1384.24 1726.77,1384.24 1728.85,1384.24 \n  1730.93,1384.24 1733.01,1384.24 1735.09,1384.24 1737.16,1384.24 1739.24,1384.24 1741.32,1384.24 1743.4,1384.24 1745.48,1384.24 1747.56,1384.24 1749.64,1384.24 \n  1751.72,1384.24 1753.8,1384.24 1755.88,1384.24 1757.96,1384.24 1760.04,1384.24 1762.12,1384.24 1764.2,1384.24 1766.28,1384.24 1768.36,1384.24 1770.44,1384.24 \n  1772.52,1384.24 1774.6,1384.24 1776.68,1384.24 1778.76,1384.24 1780.84,1384.24 1782.92,1384.24 1785,1384.24 1787.08,1384.24 1789.16,1384.24 1791.24,1384.24 \n  1793.32,1384.24 1795.4,1384.24 1797.48,1384.24 1799.56,1384.24 1801.64,1384.24 1803.72,1384.24 1805.8,1384.24 1807.87,1384.24 1809.95,1384.24 1812.03,1384.24 \n  1814.11,1384.24 1816.19,1384.24 1818.27,1384.24 1820.35,1384.24 1822.43,1384.24 1824.51,1384.24 1826.59,1384.24 1828.67,1384.24 1830.75,1384.24 1832.83,1384.24 \n  1834.91,1384.24 1836.99,1384.24 1839.07,1384.24 1841.15,1384.24 1843.23,1384.24 1845.31,1384.24 1847.39,1384.24 1849.47,1384.24 1851.55,1384.24 1853.63,1384.24 \n  1855.71,1384.24 1857.79,1384.24 1859.87,1384.24 1861.95,1384.24 1864.03,1384.24 1866.11,1384.24 1868.19,1384.24 1870.27,1384.24 1872.35,1384.24 1874.43,1384.24 \n  1876.5,1384.24 1878.58,1384.24 1880.66,1384.24 1882.74,1384.24 1884.82,1384.24 1886.9,1384.24 1888.98,1384.24 1891.06,1384.24 1893.14,1384.24 1895.22,1384.24 \n  1897.3,1384.24 1899.38,1384.24 1901.46,1384.24 1903.54,1384.24 1905.62,1384.24 1907.7,1384.24 1909.78,1384.24 1911.86,1384.24 1913.94,1384.24 1916.02,1384.24 \n  1918.1,1384.24 1920.18,1384.24 1922.26,1384.24 1924.34,1384.24 1926.42,1384.24 1928.5,1384.24 1930.58,1384.24 1932.66,1384.24 1934.74,1384.24 1936.82,1384.24 \n  1938.9,1384.24 1940.98,1384.24 1943.06,1384.24 1945.13,1384.24 1947.21,1384.24 1949.29,1384.24 1951.37,1384.24 1953.45,1384.24 1955.53,1384.24 1957.61,1384.24 \n  1959.69,1384.24 1961.77,1384.24 1963.85,1384.24 1965.93,1384.24 1968.01,1384.24 1970.09,1384.24 1972.17,1384.24 1974.25,1384.24 1976.33,1384.24 1978.41,1384.24 \n  1980.49,1384.24 1982.57,1384.24 1984.65,1384.24 1986.73,1384.24 1988.81,1384.24 1990.89,1384.24 1992.97,1384.24 1995.05,1384.24 1997.13,1384.24 1999.21,1384.24 \n  2001.29,1384.24 2003.37,1384.24 2005.45,1384.24 2007.53,1384.24 2009.61,1384.24 2011.69,1384.24 2013.76,1384.24 2015.84,1384.24 2017.92,1384.24 2020,1384.24 \n  2022.08,1384.24 2024.16,1384.24 2026.24,1384.24 2028.32,1384.24 2030.4,1384.24 2032.48,1384.24 2034.56,1384.24 2036.64,1384.24 2038.72,1384.24 2040.8,1384.24 \n  2042.88,1384.24 2044.96,1384.24 2047.04,1384.24 2049.12,1384.24 2051.2,1384.24 2053.28,1384.24 2055.36,1384.24 2057.44,1384.24 2059.52,1384.24 2061.6,1384.24 \n  2063.68,1384.24 2065.76,1384.24 2067.84,1384.24 2069.92,1384.24 2072,1384.24 2074.08,1384.24 2076.16,1384.24 2078.24,1384.24 2080.32,1384.24 2082.4,1384.24 \n  2084.47,1384.24 2086.55,1384.24 2088.63,1384.24 2090.71,1384.24 2092.79,1384.24 2094.87,1384.24 2096.95,1384.24 2099.03,1384.24 2101.11,1384.24 2103.19,1384.24 \n  2105.27,1384.24 2107.35,1384.24 2109.43,1384.24 2111.51,1384.24 2113.59,1384.24 2115.67,1384.24 2117.75,1384.24 2119.83,1384.24 2121.91,1384.24 2123.99,1384.24 \n  2126.07,1384.24 2128.15,1384.24 2130.23,1384.24 2132.31,1384.24 2134.39,1384.24 2136.47,1384.24 2138.55,1384.24 2140.63,1384.24 2142.71,1384.24 2144.79,1384.24 \n  2146.87,1384.24 2148.95,1384.24 2151.03,1384.24 2153.1,1384.24 2155.18,1384.24 2157.26,1384.24 2159.34,1384.24 2161.42,1384.24 2163.5,1384.24 2165.58,1384.24 \n  2167.66,1384.24 2169.74,1384.24 2171.82,1384.24 2173.9,1384.24 2175.98,1384.24 2178.06,1384.24 2180.14,1384.24 2182.22,1384.24 2184.3,1384.24 2186.38,1384.24 \n  2188.46,1384.24 2190.54,1384.24 2192.62,1384.24 2194.7,1384.24 2196.78,1384.24 2198.86,1384.24 2200.94,1384.24 2203.02,1384.24 2205.1,1384.24 2207.18,1384.24 \n  2209.26,1384.24 2211.34,1384.24 2213.42,1384.24 2215.5,1384.24 2217.58,1384.24 2219.66,1384.24 2221.73,1384.24 2223.81,1384.24 2225.89,1384.24 2227.97,1384.24 \n  2230.05,1384.24 2232.13,1384.24 2234.21,1384.24 2236.29,1384.24 2238.37,1384.24 2240.45,1384.24 2242.53,1384.24 2244.61,1384.24 2246.69,1384.24 2248.77,1384.24 \n  2250.85,1384.24 2252.93,1384.24 2255.01,1384.24 2257.09,1384.24 2259.17,1384.24 2261.25,1384.24 2263.33,1384.24 2265.41,1384.24 2267.49,1384.24 2269.57,1384.24 \n  2271.65,1384.24 2273.73,1384.24 2275.81,1384.24 2277.89,1384.24 2279.97,1384.24 2282.05,1384.24 2284.13,1384.24 2286.21,1384.24 2288.29,1384.24 2290.36,1384.24 \n  2292.44,1384.24 2294.52,1384.24 2296.6,1384.24 2298.68,1384.24 2300.76,1384.24 2302.84,1384.24 2304.92,1384.24 2307,1384.24 2309.08,1384.24 2311.16,1384.24 \n  2313.24,1384.24 2315.32,1384.24 2317.4,1384.24 2319.48,1384.24 2321.56,1384.24 2323.64,1384.24 2325.72,1384.24 2327.8,1384.24 2329.88,1384.24 2331.96,1384.24 \n  2334.04,1384.24 2336.12,1384.24 2338.2,1384.24 2340.28,1384.24 2342.36,1384.24 2344.44,1384.24 2346.52,1384.24 2348.6,1384.24 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882.409,1384.22 884.488,1384.22 886.568,1384.22 888.648,1384.22 890.727,1384.22 892.807,1384.22 894.887,1384.22 896.966,1384.22 \n  899.046,1384.22 901.126,1384.22 903.206,1384.22 905.285,1384.22 907.365,1384.22 909.445,1384.22 911.524,1384.22 913.604,1384.22 915.684,1384.22 917.763,1384.22 \n  919.843,1384.22 921.923,1384.22 924.003,1384.22 926.082,1384.22 928.162,1384.22 930.242,1384.22 932.321,1384.22 934.401,1384.22 936.481,1384.22 938.56,1384.22 \n  940.64,1384.22 942.72,1384.22 944.8,1384.22 946.879,1384.22 948.959,1384.22 951.039,1384.22 953.118,1384.22 955.198,1384.22 957.278,1384.22 959.357,1384.22 \n  961.437,1384.23 963.517,1384.23 965.597,1384.23 967.676,1384.23 969.756,1384.23 971.836,1384.23 973.915,1384.23 975.995,1384.23 978.075,1384.23 980.154,1384.23 \n  982.234,1384.23 984.314,1384.23 986.394,1384.23 988.473,1384.23 990.553,1384.23 992.633,1384.23 994.712,1384.23 996.792,1384.23 998.872,1384.23 1000.95,1384.23 \n  1003.03,1384.23 1005.11,1384.23 1007.19,1384.23 1009.27,1384.23 1011.35,1384.23 1013.43,1384.23 1015.51,1384.23 1017.59,1384.23 1019.67,1384.23 1021.75,1384.23 \n  1023.83,1384.23 1025.91,1384.23 1027.99,1384.23 1030.07,1384.23 1032.15,1384.23 1034.23,1384.23 1036.31,1384.23 1038.39,1384.23 1040.47,1384.23 1042.55,1384.23 \n  1044.63,1384.23 1046.7,1384.23 1048.78,1384.23 1050.86,1384.23 1052.94,1384.23 1055.02,1384.23 1057.1,1384.23 1059.18,1384.23 1061.26,1384.23 1063.34,1384.23 \n  1065.42,1384.23 1067.5,1384.23 1069.58,1384.23 1071.66,1384.23 1073.74,1384.23 1075.82,1384.23 1077.9,1384.23 1079.98,1384.23 1082.06,1384.23 1084.14,1384.23 \n  1086.22,1384.23 1088.3,1384.23 1090.38,1384.23 1092.46,1384.23 1094.54,1384.23 1096.62,1384.23 1098.7,1384.23 1100.78,1384.23 1102.86,1384.23 1104.94,1384.23 \n  1107.02,1384.23 1109.1,1384.23 1111.18,1384.23 1113.26,1384.23 1115.33,1384.23 1117.41,1384.23 1119.49,1384.23 1121.57,1384.23 1123.65,1384.23 1125.73,1384.23 \n  1127.81,1384.23 1129.89,1384.23 1131.97,1384.23 1134.05,1384.23 1136.13,1384.23 1138.21,1384.23 1140.29,1384.23 1142.37,1384.23 1144.45,1384.23 1146.53,1384.23 \n  1148.61,1384.23 1150.69,1384.23 1152.77,1384.23 1154.85,1384.23 1156.93,1384.23 1159.01,1384.23 1161.09,1384.23 1163.17,1384.23 1165.25,1384.23 1167.33,1384.23 \n  1169.41,1384.23 1171.49,1384.23 1173.57,1384.23 1175.65,1384.23 1177.73,1384.23 1179.81,1384.23 1181.89,1384.23 1183.96,1384.23 1186.04,1384.23 1188.12,1384.23 \n  1190.2,1384.23 1192.28,1384.23 1194.36,1384.23 1196.44,1384.23 1198.52,1384.23 1200.6,1384.23 1202.68,1384.23 1204.76,1384.23 1206.84,1384.23 1208.92,1384.23 \n  1211,1384.23 1213.08,1384.23 1215.16,1384.23 1217.24,1384.23 1219.32,1384.23 1221.4,1384.23 1223.48,1384.23 1225.56,1384.23 1227.64,1384.23 1229.72,1384.23 \n  1231.8,1384.23 1233.88,1384.23 1235.96,1384.23 1238.04,1384.23 1240.12,1384.23 1242.2,1384.23 1244.28,1384.23 1246.36,1384.23 1248.44,1384.23 1250.52,1384.23 \n  1252.6,1384.23 1254.67,1384.23 1256.75,1384.23 1258.83,1384.23 1260.91,1384.23 1262.99,1384.23 1265.07,1384.23 1267.15,1384.23 1269.23,1384.23 1271.31,1384.23 \n  1273.39,1384.23 1275.47,1384.23 1277.55,1384.23 1279.63,1384.23 1281.71,1384.23 1283.79,1384.23 1285.87,1384.23 1287.95,1384.23 1290.03,1384.23 1292.11,1384.23 \n  1294.19,1384.23 1296.27,1384.23 1298.35,1384.23 1300.43,1384.23 1302.51,1384.23 1304.59,1384.23 1306.67,1384.23 1308.75,1384.23 1310.83,1384.23 1312.91,1384.23 \n  1314.99,1384.23 1317.07,1384.23 1319.15,1384.23 1321.23,1384.23 1323.3,1384.23 1325.38,1384.23 1327.46,1384.23 1329.54,1384.23 1331.62,1384.23 1333.7,1384.23 \n  1335.78,1384.23 1337.86,1384.23 1339.94,1384.23 1342.02,1384.23 1344.1,1384.23 1346.18,1384.23 1348.26,1384.23 1350.34,1384.23 1352.42,1384.23 1354.5,1384.23 \n  1356.58,1384.23 1358.66,1384.23 1360.74,1384.23 1362.82,1384.23 1364.9,1384.23 1366.98,1384.23 1369.06,1384.23 1371.14,1384.23 1373.22,1384.23 1375.3,1384.23 \n  1377.38,1384.23 1379.46,1384.23 1381.54,1384.23 1383.62,1384.23 1385.7,1384.23 1387.78,1384.23 1389.86,1384.23 1391.93,1384.23 1394.01,1384.23 1396.09,1384.23 \n  1398.17,1384.23 1400.25,1384.23 1402.33,1384.23 1404.41,1384.23 1406.49,1384.23 1408.57,1384.23 1410.65,1384.23 1412.73,1384.23 1414.81,1384.23 1416.89,1384.23 \n  1418.97,1384.23 1421.05,1384.23 1423.13,1384.23 1425.21,1384.23 1427.29,1384.23 1429.37,1384.23 1431.45,1384.23 1433.53,1384.23 1435.61,1384.23 1437.69,1384.23 \n  1439.77,1384.23 1441.85,1384.23 1443.93,1384.23 1446.01,1384.23 1448.09,1384.23 1450.17,1384.23 1452.25,1384.23 1454.33,1384.23 1456.41,1384.23 1458.49,1384.23 \n  1460.56,1384.23 1462.64,1384.23 1464.72,1384.23 1466.8,1384.23 1468.88,1384.23 1470.96,1384.23 1473.04,1384.23 1475.12,1384.23 1477.2,1384.23 1479.28,1384.23 \n  1481.36,1384.23 1483.44,1384.23 1485.52,1384.23 1487.6,1384.23 1489.68,1384.23 1491.76,1384.23 1493.84,1384.23 1495.92,1384.23 1498,1384.23 1500.08,1384.23 \n  1502.16,1384.23 1504.24,1384.23 1506.32,1384.23 1508.4,1384.23 1510.48,1384.23 1512.56,1384.23 1514.64,1384.23 1516.72,1384.23 1518.8,1384.23 1520.88,1384.23 \n  1522.96,1384.23 1525.04,1384.23 1527.12,1384.23 1529.2,1384.23 1531.27,1384.23 1533.35,1384.23 1535.43,1384.23 1537.51,1384.23 1539.59,1384.23 1541.67,1384.23 \n  1543.75,1384.23 1545.83,1384.23 1547.91,1384.23 1549.99,1384.23 1552.07,1384.23 1554.15,1384.23 1556.23,1384.23 1558.31,1384.23 1560.39,1384.23 1562.47,1384.23 \n  1564.55,1384.23 1566.63,1384.23 1568.71,1384.23 1570.79,1384.23 1572.87,1384.23 1574.95,1384.23 1577.03,1384.23 1579.11,1384.23 1581.19,1384.23 1583.27,1384.23 \n  1585.35,1384.23 1587.43,1384.23 1589.51,1384.23 1591.59,1384.23 1593.67,1384.23 1595.75,1384.23 1597.83,1384.23 1599.9,1384.23 1601.98,1384.23 1604.06,1384.23 \n  1606.14,1384.23 1608.22,1384.23 1610.3,1384.23 1612.38,1384.23 1614.46,1384.23 1616.54,1384.23 1618.62,1384.23 1620.7,1384.23 1622.78,1384.23 1624.86,1384.23 \n  1626.94,1384.23 1629.02,1384.23 1631.1,1384.23 1633.18,1384.23 1635.26,1384.23 1637.34,1384.23 1639.42,1384.23 1641.5,1384.23 1643.58,1384.23 1645.66,1384.23 \n  1647.74,1384.23 1649.82,1384.23 1651.9,1384.23 1653.98,1384.23 1656.06,1384.23 1658.14,1384.23 1660.22,1384.23 1662.3,1384.23 1664.38,1384.23 1666.46,1384.23 \n  1668.53,1384.23 1670.61,1384.23 1672.69,1384.23 1674.77,1384.23 1676.85,1384.23 1678.93,1384.23 1681.01,1384.23 1683.09,1384.23 1685.17,1384.23 1687.25,1384.23 \n  1689.33,1384.23 1691.41,1384.23 1693.49,1384.23 1695.57,1384.23 1697.65,1384.23 1699.73,1384.23 1701.81,1384.23 1703.89,1384.23 1705.97,1384.23 1708.05,1384.23 \n  1710.13,1384.23 1712.21,1384.23 1714.29,1384.23 1716.37,1384.23 1718.45,1384.23 1720.53,1384.23 1722.61,1384.23 1724.69,1384.23 1726.77,1384.23 1728.85,1384.23 \n  1730.93,1384.23 1733.01,1384.23 1735.09,1384.23 1737.16,1384.23 1739.24,1384.23 1741.32,1384.23 1743.4,1384.23 1745.48,1384.23 1747.56,1384.23 1749.64,1384.23 \n  1751.72,1384.23 1753.8,1384.23 1755.88,1384.23 1757.96,1384.23 1760.04,1384.23 1762.12,1384.23 1764.2,1384.23 1766.28,1384.23 1768.36,1384.23 1770.44,1384.23 \n  1772.52,1384.23 1774.6,1384.23 1776.68,1384.23 1778.76,1384.23 1780.84,1384.23 1782.92,1384.23 1785,1384.23 1787.08,1384.23 1789.16,1384.23 1791.24,1384.23 \n  1793.32,1384.23 1795.4,1384.23 1797.48,1384.23 1799.56,1384.23 1801.64,1384.23 1803.72,1384.23 1805.8,1384.23 1807.87,1384.23 1809.95,1384.23 1812.03,1384.23 \n  1814.11,1384.23 1816.19,1384.23 1818.27,1384.23 1820.35,1384.23 1822.43,1384.23 1824.51,1384.23 1826.59,1384.23 1828.67,1384.23 1830.75,1384.23 1832.83,1384.23 \n  1834.91,1384.23 1836.99,1384.23 1839.07,1384.23 1841.15,1384.23 1843.23,1384.23 1845.31,1384.23 1847.39,1384.23 1849.47,1384.23 1851.55,1384.23 1853.63,1384.23 \n  1855.71,1384.23 1857.79,1384.23 1859.87,1384.23 1861.95,1384.23 1864.03,1384.23 1866.11,1384.23 1868.19,1384.23 1870.27,1384.23 1872.35,1384.23 1874.43,1384.23 \n  1876.5,1384.23 1878.58,1384.23 1880.66,1384.23 1882.74,1384.23 1884.82,1384.23 1886.9,1384.23 1888.98,1384.23 1891.06,1384.23 1893.14,1384.23 1895.22,1384.23 \n  1897.3,1384.23 1899.38,1384.23 1901.46,1384.23 1903.54,1384.23 1905.62,1384.23 1907.7,1384.23 1909.78,1384.23 1911.86,1384.23 1913.94,1384.23 1916.02,1384.23 \n  1918.1,1384.23 1920.18,1384.23 1922.26,1384.23 1924.34,1384.23 1926.42,1384.23 1928.5,1384.23 1930.58,1384.23 1932.66,1384.23 1934.74,1384.23 1936.82,1384.23 \n  1938.9,1384.23 1940.98,1384.23 1943.06,1384.23 1945.13,1384.23 1947.21,1384.23 1949.29,1384.23 1951.37,1384.23 1953.45,1384.23 1955.53,1384.23 1957.61,1384.23 \n  1959.69,1384.23 1961.77,1384.23 1963.85,1384.23 1965.93,1384.23 1968.01,1384.23 1970.09,1384.23 1972.17,1384.23 1974.25,1384.23 1976.33,1384.23 1978.41,1384.23 \n  1980.49,1384.23 1982.57,1384.23 1984.65,1384.23 1986.73,1384.23 1988.81,1384.23 1990.89,1384.23 1992.97,1384.23 1995.05,1384.23 1997.13,1384.23 1999.21,1384.23 \n  2001.29,1384.23 2003.37,1384.23 2005.45,1384.23 2007.53,1384.23 2009.61,1384.23 2011.69,1384.23 2013.76,1384.23 2015.84,1384.23 2017.92,1384.23 2020,1384.23 \n  2022.08,1384.23 2024.16,1384.23 2026.24,1384.23 2028.32,1384.23 2030.4,1384.23 2032.48,1384.23 2034.56,1384.23 2036.64,1384.23 2038.72,1384.23 2040.8,1384.23 \n  2042.88,1384.23 2044.96,1384.23 2047.04,1384.23 2049.12,1384.23 2051.2,1384.23 2053.28,1384.23 2055.36,1384.23 2057.44,1384.23 2059.52,1384.23 2061.6,1384.23 \n  2063.68,1384.23 2065.76,1384.23 2067.84,1384.23 2069.92,1384.23 2072,1384.23 2074.08,1384.23 2076.16,1384.23 2078.24,1384.23 2080.32,1384.23 2082.4,1384.23 \n  2084.47,1384.23 2086.55,1384.23 2088.63,1384.23 2090.71,1384.23 2092.79,1384.23 2094.87,1384.23 2096.95,1384.23 2099.03,1384.23 2101.11,1384.23 2103.19,1384.23 \n  2105.27,1384.23 2107.35,1384.23 2109.43,1384.23 2111.51,1384.23 2113.59,1384.23 2115.67,1384.23 2117.75,1384.23 2119.83,1384.23 2121.91,1384.23 2123.99,1384.23 \n  2126.07,1384.23 2128.15,1384.23 2130.23,1384.23 2132.31,1384.23 2134.39,1384.23 2136.47,1384.23 2138.55,1384.23 2140.63,1384.23 2142.71,1384.23 2144.79,1384.23 \n  2146.87,1384.23 2148.95,1384.23 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1067.5,1030.1 1069.58,1030.83 1071.66,1031.56 1073.74,1032.29 1075.82,1033.01 1077.9,1033.74 1079.98,1034.46 1082.06,1035.19 1084.14,1035.91 \n  1086.22,1036.63 1088.3,1037.35 1090.38,1038.07 1092.46,1038.78 1094.54,1039.5 1096.62,1040.21 1098.7,1040.93 1100.78,1041.64 1102.86,1042.35 1104.94,1043.06 \n  1107.02,1043.77 1109.1,1044.48 1111.18,1045.18 1113.26,1045.89 1115.33,1046.59 1117.41,1047.29 1119.49,1047.99 1121.57,1048.69 1123.65,1049.39 1125.73,1050.09 \n  1127.81,1050.78 1129.89,1051.48 1131.97,1052.17 1134.05,1052.86 1136.13,1053.55 1138.21,1054.24 1140.29,1054.93 1142.37,1055.62 1144.45,1056.3 1146.53,1056.98 \n  1148.61,1057.66 1150.69,1058.34 1152.77,1059.02 1154.85,1059.7 1156.93,1060.38 1159.01,1061.05 1161.09,1061.72 1163.17,1062.39 1165.25,1063.06 1167.33,1063.73 \n  1169.41,1064.4 1171.49,1065.06 1173.57,1065.73 1175.65,1066.39 1177.73,1067.05 1179.81,1067.71 1181.89,1068.37 1183.96,1069.02 1186.04,1069.68 1188.12,1070.33 \n  1190.2,1070.98 1192.28,1071.63 1194.36,1072.28 1196.44,1072.93 1198.52,1073.57 1200.6,1074.22 1202.68,1074.86 1204.76,1075.5 1206.84,1076.14 1208.92,1076.78 \n  1211,1077.41 1213.08,1078.05 1215.16,1078.68 1217.24,1079.31 1219.32,1079.94 1221.4,1080.57 1223.48,1081.19 1225.56,1081.82 1227.64,1082.44 1229.72,1083.06 \n  1231.8,1083.68 1233.88,1084.3 1235.96,1084.91 1238.04,1085.53 1240.12,1086.14 1242.2,1086.75 1244.28,1087.36 1246.36,1087.97 1248.44,1088.58 1250.52,1089.18 \n  1252.6,1089.78 1254.67,1090.39 1256.75,1090.99 1258.83,1091.58 1260.91,1092.18 1262.99,1092.78 1265.07,1093.37 1267.15,1093.96 1269.23,1094.55 1271.31,1095.14 \n  1273.39,1095.73 1275.47,1096.31 1277.55,1096.89 1279.63,1097.48 1281.71,1098.06 1283.79,1098.63 1285.87,1099.21 1287.95,1099.78 1290.03,1100.36 1292.11,1100.93 \n  1294.19,1101.5 1296.27,1102.07 1298.35,1102.63 1300.43,1103.2 1302.51,1103.76 1304.59,1104.32 1306.67,1104.88 1308.75,1105.44 1310.83,1106 1312.91,1106.55 \n  1314.99,1107.11 1317.07,1107.66 1319.15,1108.21 1321.23,1108.76 1323.3,1109.3 1325.38,1109.85 1327.46,1110.39 1329.54,1110.93 1331.62,1111.47 1333.7,1112.01 \n  1335.78,1112.55 1337.86,1113.08 1339.94,1113.62 1342.02,1114.15 1344.1,1114.68 1346.18,1115.21 1348.26,1115.74 1350.34,1116.26 1352.42,1116.78 1354.5,1117.31 \n  1356.58,1117.83 1358.66,1118.35 1360.74,1118.86 1362.82,1119.38 1364.9,1119.89 1366.98,1120.4 1369.06,1120.91 1371.14,1121.42 1373.22,1121.93 1375.3,1122.44 \n  1377.38,1122.94 1379.46,1123.44 1381.54,1123.94 1383.62,1124.44 1385.7,1124.94 1387.78,1125.43 1389.86,1125.93 1391.93,1126.42 1394.01,1126.91 1396.09,1127.4 \n  1398.17,1127.89 1400.25,1128.38 1402.33,1128.86 1404.41,1129.34 1406.49,1129.83 1408.57,1130.31 1410.65,1130.78 1412.73,1131.26 1414.81,1131.73 1416.89,1132.21 \n  1418.97,1132.68 1421.05,1133.15 1423.13,1133.62 1425.21,1134.09 1427.29,1134.55 1429.37,1135.02 1431.45,1135.48 1433.53,1135.94 1435.61,1136.4 1437.69,1136.86 \n  1439.77,1137.31 1441.85,1137.77 1443.93,1138.22 1446.01,1138.67 1448.09,1139.12 1450.17,1139.57 1452.25,1140.02 1454.33,1140.46 1456.41,1140.91 1458.49,1141.35 \n  1460.56,1141.79 1462.64,1142.23 1464.72,1142.67 1466.8,1143.11 1468.88,1143.54 1470.96,1143.97 1473.04,1144.41 1475.12,1144.84 1477.2,1145.26 1479.28,1145.69 \n  1481.36,1146.12 1483.44,1146.54 1485.52,1146.96 1487.6,1147.39 1489.68,1147.81 1491.76,1148.22 1493.84,1148.64 1495.92,1149.06 1498,1149.47 1500.08,1149.88 \n  1502.16,1150.3 1504.24,1150.7 1506.32,1151.11 1508.4,1151.52 1510.48,1151.93 1512.56,1152.33 1514.64,1152.73 1516.72,1153.13 1518.8,1153.53 1520.88,1153.93 \n  1522.96,1154.33 1525.04,1154.72 1527.12,1155.12 1529.2,1155.51 1531.27,1155.9 1533.35,1156.29 1535.43,1156.68 1537.51,1157.06 1539.59,1157.45 1541.67,1157.83 \n  1543.75,1158.22 1545.83,1158.6 1547.91,1158.98 1549.99,1159.36 1552.07,1159.73 1554.15,1160.11 1556.23,1160.48 1558.31,1160.86 1560.39,1161.23 1562.47,1161.6 \n  1564.55,1161.97 1566.63,1162.34 1568.71,1162.7 1570.79,1163.07 1572.87,1163.43 1574.95,1163.79 1577.03,1164.15 1579.11,1164.51 1581.19,1164.87 1583.27,1165.23 \n  1585.35,1165.58 1587.43,1165.94 1589.51,1166.29 1591.59,1166.64 1593.67,1166.99 1595.75,1167.34 1597.83,1167.69 1599.9,1168.04 1601.98,1168.38 1604.06,1168.73 \n  1606.14,1169.07 1608.22,1169.41 1610.3,1169.75 1612.38,1170.09 1614.46,1170.43 1616.54,1170.76 1618.62,1171.1 1620.7,1171.43 1622.78,1171.77 1624.86,1172.1 \n  1626.94,1172.43 1629.02,1172.76 1631.1,1173.08 1633.18,1173.41 1635.26,1173.73 1637.34,1174.06 1639.42,1174.38 1641.5,1174.7 1643.58,1175.02 1645.66,1175.34 \n  1647.74,1175.66 1649.82,1175.98 1651.9,1176.29 1653.98,1176.61 1656.06,1176.92 1658.14,1177.23 1660.22,1177.54 1662.3,1177.85 1664.38,1178.16 1666.46,1178.47 \n  1668.53,1178.77 1670.61,1179.08 1672.69,1179.38 1674.77,1179.68 1676.85,1179.98 1678.93,1180.28 1681.01,1180.58 1683.09,1180.88 1685.17,1181.18 1687.25,1181.47 \n  1689.33,1181.77 1691.41,1182.06 1693.49,1182.35 1695.57,1182.65 1697.65,1182.93 1699.73,1183.22 1701.81,1183.51 1703.89,1183.8 1705.97,1184.08 1708.05,1184.37 \n  1710.13,1184.65 1712.21,1184.93 1714.29,1185.21 1716.37,1185.49 1718.45,1185.77 1720.53,1186.05 1722.61,1186.33 1724.69,1186.6 1726.77,1186.88 1728.85,1187.15 \n  1730.93,1187.42 1733.01,1187.7 1735.09,1187.97 1737.16,1188.24 1739.24,1188.5 1741.32,1188.77 1743.4,1189.04 1745.48,1189.3 1747.56,1189.57 1749.64,1189.83 \n  1751.72,1190.09 1753.8,1190.35 1755.88,1190.61 1757.96,1190.87 1760.04,1191.13 1762.12,1191.39 1764.2,1191.64 1766.28,1191.9 1768.36,1192.15 1770.44,1192.4 \n  1772.52,1192.66 1774.6,1192.91 1776.68,1193.16 1778.76,1193.41 1780.84,1193.65 1782.92,1193.9 1785,1194.15 1787.08,1194.39 1789.16,1194.64 1791.24,1194.88 \n  1793.32,1195.12 1795.4,1195.36 1797.48,1195.6 1799.56,1195.84 1801.64,1196.08 1803.72,1196.32 1805.8,1196.56 1807.87,1196.79 1809.95,1197.03 1812.03,1197.26 \n  1814.11,1197.49 1816.19,1197.72 1818.27,1197.96 1820.35,1198.19 1822.43,1198.41 1824.51,1198.64 1826.59,1198.87 1828.67,1199.1 1830.75,1199.32 1832.83,1199.55 \n 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1961.77,1211.84 1963.85,1212.02 1965.93,1212.19 1968.01,1212.36 1970.09,1212.54 1972.17,1212.71 1974.25,1212.88 1976.33,1213.05 1978.41,1213.22 \n  1980.49,1213.38 1982.57,1213.55 1984.65,1213.72 1986.73,1213.89 1988.81,1214.05 1990.89,1214.22 1992.97,1214.38 1995.05,1214.54 1997.13,1214.71 1999.21,1214.87 \n  2001.29,1215.03 2003.37,1215.19 2005.45,1215.35 2007.53,1215.51 2009.61,1215.67 2011.69,1215.83 2013.76,1215.99 2015.84,1216.15 2017.92,1216.3 2020,1216.46 \n  2022.08,1216.61 2024.16,1216.77 2026.24,1216.92 2028.32,1217.07 2030.4,1217.23 2032.48,1217.38 2034.56,1217.53 2036.64,1217.68 2038.72,1217.83 2040.8,1217.98 \n  2042.88,1218.13 2044.96,1218.28 2047.04,1218.43 2049.12,1218.57 2051.2,1218.72 2053.28,1218.87 2055.36,1219.01 2057.44,1219.16 2059.52,1219.3 2061.6,1219.44 \n  2063.68,1219.59 2065.76,1219.73 2067.84,1219.87 2069.92,1220.01 2072,1220.15 2074.08,1220.29 2076.16,1220.43 2078.24,1220.57 2080.32,1220.71 2082.4,1220.85 \n  2084.47,1220.98 2086.55,1221.12 2088.63,1221.26 2090.71,1221.39 2092.79,1221.53 2094.87,1221.66 2096.95,1221.79 2099.03,1221.93 2101.11,1222.06 2103.19,1222.19 \n  2105.27,1222.32 2107.35,1222.45 2109.43,1222.58 2111.51,1222.71 2113.59,1222.84 2115.67,1222.97 2117.75,1223.1 2119.83,1223.23 2121.91,1223.36 2123.99,1223.48 \n  2126.07,1223.61 2128.15,1223.73 2130.23,1223.86 2132.31,1223.98 2134.39,1224.11 2136.47,1224.23 2138.55,1224.36 2140.63,1224.48 2142.71,1224.6 2144.79,1224.72 \n  2146.87,1224.84 2148.95,1224.96 2151.03,1225.08 2153.1,1225.2 2155.18,1225.32 2157.26,1225.44 2159.34,1225.56 2161.42,1225.68 2163.5,1225.79 2165.58,1225.91 \n  2167.66,1226.03 2169.74,1226.14 2171.82,1226.26 2173.9,1226.37 2175.98,1226.48 2178.06,1226.6 2180.14,1226.71 2182.22,1226.82 2184.3,1226.94 2186.38,1227.05 \n  2188.46,1227.16 2190.54,1227.27 2192.62,1227.38 2194.7,1227.49 2196.78,1227.6 2198.86,1227.71 2200.94,1227.82 2203.02,1227.93 2205.1,1228.03 2207.18,1228.14 \n  2209.26,1228.25 2211.34,1228.35 2213.42,1228.46 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753.467,1102.28 755.547,1101.55 757.627,1100.83 759.706,1100.11 761.786,1099.4 763.866,1098.7 765.945,1098.01 768.025,1097.32 770.105,1096.65 772.184,1095.98 \n  774.264,1095.32 776.344,1094.66 778.424,1094.01 780.503,1093.38 782.583,1092.74 784.663,1092.12 786.742,1091.5 788.822,1090.89 790.902,1090.29 792.981,1089.7 \n  795.061,1089.11 797.141,1088.53 799.221,1087.96 801.3,1087.39 803.38,1086.84 805.46,1086.28 807.539,1085.74 809.619,1085.2 811.699,1084.68 813.778,1084.15 \n  815.858,1083.64 817.938,1083.13 820.018,1082.63 822.097,1082.13 824.177,1081.65 826.257,1081.17 828.336,1080.69 830.416,1080.23 832.496,1079.77 834.575,1079.31 \n  836.655,1078.87 838.735,1078.43 840.815,1078 842.894,1077.57 844.974,1077.15 847.054,1076.74 849.133,1076.33 851.213,1075.93 853.293,1075.54 855.372,1075.15 \n  857.452,1074.77 859.532,1074.4 861.612,1074.03 863.691,1073.67 865.771,1073.31 867.851,1072.96 869.93,1072.62 872.01,1072.29 874.09,1071.95 876.169,1071.63 \n  878.249,1071.31 880.329,1071 882.409,1070.69 884.488,1070.39 886.568,1070.1 888.648,1069.81 890.727,1069.53 892.807,1069.25 894.887,1068.98 896.966,1068.72 \n  899.046,1068.46 901.126,1068.21 903.206,1067.96 905.285,1067.72 907.365,1067.48 909.445,1067.25 911.524,1067.03 913.604,1066.81 915.684,1066.59 917.763,1066.38 \n  919.843,1066.18 921.923,1065.98 924.003,1065.79 926.082,1065.6 928.162,1065.42 930.242,1065.24 932.321,1065.07 934.401,1064.91 936.481,1064.75 938.56,1064.59 \n  940.64,1064.44 942.72,1064.29 944.8,1064.15 946.879,1064.02 948.959,1063.89 951.039,1063.76 953.118,1063.64 955.198,1063.52 957.278,1063.41 959.357,1063.31 \n  961.437,1063.2 963.517,1063.11 965.597,1063.01 967.676,1062.93 969.756,1062.84 971.836,1062.77 973.915,1062.69 975.995,1062.62 978.075,1062.56 980.154,1062.5 \n  982.234,1062.44 984.314,1062.39 986.394,1062.34 988.473,1062.3 990.553,1062.26 992.633,1062.23 994.712,1062.2 996.792,1062.17 998.872,1062.15 1000.95,1062.13 \n  1003.03,1062.12 1005.11,1062.11 1007.19,1062.1 1009.27,1062.1 1011.35,1062.11 1013.43,1062.11 1015.51,1062.12 1017.59,1062.14 1019.67,1062.16 1021.75,1062.18 \n  1023.83,1062.21 1025.91,1062.24 1027.99,1062.27 1030.07,1062.31 1032.15,1062.35 1034.23,1062.39 1036.31,1062.44 1038.39,1062.49 1040.47,1062.55 1042.55,1062.61 \n  1044.63,1062.67 1046.7,1062.74 1048.78,1062.81 1050.86,1062.88 1052.94,1062.96 1055.02,1063.04 1057.1,1063.12 1059.18,1063.21 1061.26,1063.3 1063.34,1063.39 \n  1065.42,1063.49 1067.5,1063.59 1069.58,1063.69 1071.66,1063.8 1073.74,1063.9 1075.82,1064.02 1077.9,1064.13 1079.98,1064.25 1082.06,1064.37 1084.14,1064.5 \n  1086.22,1064.62 1088.3,1064.75 1090.38,1064.89 1092.46,1065.02 1094.54,1065.16 1096.62,1065.3 1098.7,1065.45 1100.78,1065.6 1102.86,1065.75 1104.94,1065.9 \n  1107.02,1066.05 1109.1,1066.21 1111.18,1066.37 1113.26,1066.54 1115.33,1066.7 1117.41,1066.87 1119.49,1067.04 1121.57,1067.22 1123.65,1067.39 1125.73,1067.57 \n  1127.81,1067.75 1129.89,1067.94 1131.97,1068.12 1134.05,1068.31 1136.13,1068.5 1138.21,1068.69 1140.29,1068.89 1142.37,1069.09 1144.45,1069.29 1146.53,1069.49 \n  1148.61,1069.69 1150.69,1069.9 1152.77,1070.11 1154.85,1070.32 1156.93,1070.53 1159.01,1070.75 1161.09,1070.97 1163.17,1071.19 1165.25,1071.41 1167.33,1071.63 \n  1169.41,1071.86 1171.49,1072.08 1173.57,1072.31 1175.65,1072.55 1177.73,1072.78 1179.81,1073.01 1181.89,1073.25 1183.96,1073.49 1186.04,1073.73 1188.12,1073.97 \n  1190.2,1074.22 1192.28,1074.46 1194.36,1074.71 1196.44,1074.96 1198.52,1075.21 1200.6,1075.47 1202.68,1075.72 1204.76,1075.98 1206.84,1076.23 1208.92,1076.49 \n  1211,1076.75 1213.08,1077.02 1215.16,1077.28 1217.24,1077.55 1219.32,1077.81 1221.4,1078.08 1223.48,1078.35 1225.56,1078.63 1227.64,1078.9 1229.72,1079.17 \n  1231.8,1079.45 1233.88,1079.73 1235.96,1080.01 1238.04,1080.29 1240.12,1080.57 1242.2,1080.85 1244.28,1081.13 1246.36,1081.42 1248.44,1081.71 1250.52,1081.99 \n  1252.6,1082.28 1254.67,1082.57 1256.75,1082.86 1258.83,1083.16 1260.91,1083.45 1262.99,1083.75 1265.07,1084.04 1267.15,1084.34 1269.23,1084.64 1271.31,1084.94 \n  1273.39,1085.24 1275.47,1085.54 1277.55,1085.84 1279.63,1086.14 1281.71,1086.45 1283.79,1086.75 1285.87,1087.06 1287.95,1087.37 1290.03,1087.68 1292.11,1087.99 \n  1294.19,1088.3 1296.27,1088.61 1298.35,1088.92 1300.43,1089.23 1302.51,1089.55 1304.59,1089.86 1306.67,1090.18 1308.75,1090.49 1310.83,1090.81 1312.91,1091.13 \n  1314.99,1091.45 1317.07,1091.76 1319.15,1092.08 1321.23,1092.4 1323.3,1092.73 1325.38,1093.05 1327.46,1093.37 1329.54,1093.69 1331.62,1094.02 1333.7,1094.34 \n  1335.78,1094.67 1337.86,1094.99 1339.94,1095.32 1342.02,1095.65 1344.1,1095.98 1346.18,1096.3 1348.26,1096.63 1350.34,1096.96 1352.42,1097.29 1354.5,1097.62 \n  1356.58,1097.95 1358.66,1098.29 1360.74,1098.62 1362.82,1098.95 1364.9,1099.28 1366.98,1099.62 1369.06,1099.95 1371.14,1100.28 1373.22,1100.62 1375.3,1100.95 \n  1377.38,1101.29 1379.46,1101.63 1381.54,1101.96 1383.62,1102.3 1385.7,1102.64 1387.78,1102.97 1389.86,1103.31 1391.93,1103.65 1394.01,1103.99 1396.09,1104.32 \n  1398.17,1104.66 1400.25,1105 1402.33,1105.34 1404.41,1105.68 1406.49,1106.02 1408.57,1106.36 1410.65,1106.7 1412.73,1107.04 1414.81,1107.38 1416.89,1107.72 \n  1418.97,1108.06 1421.05,1108.41 1423.13,1108.75 1425.21,1109.09 1427.29,1109.43 1429.37,1109.77 1431.45,1110.11 1433.53,1110.46 1435.61,1110.8 1437.69,1111.14 \n  1439.77,1111.48 1441.85,1111.83 1443.93,1112.17 1446.01,1112.51 1448.09,1112.85 1450.17,1113.2 1452.25,1113.54 1454.33,1113.88 1456.41,1114.22 1458.49,1114.57 \n  1460.56,1114.91 1462.64,1115.25 1464.72,1115.6 1466.8,1115.94 1468.88,1116.28 1470.96,1116.63 1473.04,1116.97 1475.12,1117.31 1477.2,1117.65 1479.28,1118 \n  1481.36,1118.34 1483.44,1118.68 1485.52,1119.02 1487.6,1119.37 1489.68,1119.71 1491.76,1120.05 1493.84,1120.39 1495.92,1120.73 1498,1121.08 1500.08,1121.42 \n  1502.16,1121.76 1504.24,1122.1 1506.32,1122.44 1508.4,1122.78 1510.48,1123.13 1512.56,1123.47 1514.64,1123.81 1516.72,1124.15 1518.8,1124.49 1520.88,1124.83 \n  1522.96,1125.17 1525.04,1125.51 1527.12,1125.85 1529.2,1126.19 1531.27,1126.53 1533.35,1126.86 1535.43,1127.2 1537.51,1127.54 1539.59,1127.88 1541.67,1128.22 \n  1543.75,1128.55 1545.83,1128.89 1547.91,1129.23 1549.99,1129.57 1552.07,1129.9 1554.15,1130.24 1556.23,1130.58 1558.31,1130.91 1560.39,1131.25 1562.47,1131.58 \n  1564.55,1131.92 1566.63,1132.25 1568.71,1132.59 1570.79,1132.92 1572.87,1133.25 1574.95,1133.59 1577.03,1133.92 1579.11,1134.25 1581.19,1134.58 1583.27,1134.92 \n  1585.35,1135.25 1587.43,1135.58 1589.51,1135.91 1591.59,1136.24 1593.67,1136.57 1595.75,1136.9 1597.83,1137.23 1599.9,1137.56 1601.98,1137.89 1604.06,1138.22 \n  1606.14,1138.54 1608.22,1138.87 1610.3,1139.2 1612.38,1139.52 1614.46,1139.85 1616.54,1140.18 1618.62,1140.5 1620.7,1140.83 1622.78,1141.15 1624.86,1141.48 \n  1626.94,1141.8 1629.02,1142.12 1631.1,1142.45 1633.18,1142.77 1635.26,1143.09 1637.34,1143.41 1639.42,1143.73 1641.5,1144.05 1643.58,1144.37 1645.66,1144.69 \n  1647.74,1145.01 1649.82,1145.33 1651.9,1145.65 1653.98,1145.97 1656.06,1146.28 1658.14,1146.6 1660.22,1146.92 1662.3,1147.23 1664.38,1147.55 1666.46,1147.86 \n  1668.53,1148.18 1670.61,1148.49 1672.69,1148.81 1674.77,1149.12 1676.85,1149.43 1678.93,1149.74 1681.01,1150.05 1683.09,1150.37 1685.17,1150.68 1687.25,1150.99 \n  1689.33,1151.29 1691.41,1151.6 1693.49,1151.91 1695.57,1152.22 1697.65,1152.53 1699.73,1152.83 1701.81,1153.14 1703.89,1153.45 1705.97,1153.75 1708.05,1154.06 \n  1710.13,1154.36 1712.21,1154.66 1714.29,1154.97 1716.37,1155.27 1718.45,1155.57 1720.53,1155.87 1722.61,1156.17 1724.69,1156.47 1726.77,1156.77 1728.85,1157.07 \n  1730.93,1157.37 1733.01,1157.67 1735.09,1157.97 1737.16,1158.26 1739.24,1158.56 1741.32,1158.86 1743.4,1159.15 1745.48,1159.45 1747.56,1159.74 1749.64,1160.03 \n  1751.72,1160.33 1753.8,1160.62 1755.88,1160.91 1757.96,1161.2 1760.04,1161.49 1762.12,1161.78 1764.2,1162.07 1766.28,1162.36 1768.36,1162.65 1770.44,1162.94 \n  1772.52,1163.22 1774.6,1163.51 1776.68,1163.8 1778.76,1164.08 1780.84,1164.37 1782.92,1164.65 1785,1164.94 1787.08,1165.22 1789.16,1165.5 1791.24,1165.78 \n  1793.32,1166.06 1795.4,1166.34 1797.48,1166.62 1799.56,1166.9 1801.64,1167.18 1803.72,1167.46 1805.8,1167.74 1807.87,1168.02 1809.95,1168.29 1812.03,1168.57 \n  1814.11,1168.84 1816.19,1169.12 1818.27,1169.39 1820.35,1169.67 1822.43,1169.94 1824.51,1170.21 1826.59,1170.48 1828.67,1170.75 1830.75,1171.02 1832.83,1171.29 \n  1834.91,1171.56 1836.99,1171.83 1839.07,1172.1 1841.15,1172.37 1843.23,1172.63 1845.31,1172.9 1847.39,1173.17 1849.47,1173.43 1851.55,1173.69 1853.63,1173.96 \n  1855.71,1174.22 1857.79,1174.48 1859.87,1174.75 1861.95,1175.01 1864.03,1175.27 1866.11,1175.53 1868.19,1175.79 1870.27,1176.05 1872.35,1176.3 1874.43,1176.56 \n  1876.5,1176.82 1878.58,1177.07 1880.66,1177.33 1882.74,1177.59 1884.82,1177.84 1886.9,1178.09 1888.98,1178.35 1891.06,1178.6 1893.14,1178.85 1895.22,1179.1 \n  1897.3,1179.35 1899.38,1179.6 1901.46,1179.85 1903.54,1180.1 1905.62,1180.35 1907.7,1180.6 1909.78,1180.84 1911.86,1181.09 1913.94,1181.34 1916.02,1181.58 \n  1918.1,1181.83 1920.18,1182.07 1922.26,1182.31 1924.34,1182.56 1926.42,1182.8 1928.5,1183.04 1930.58,1183.28 1932.66,1183.52 1934.74,1183.76 1936.82,1184 \n  1938.9,1184.24 1940.98,1184.48 1943.06,1184.71 1945.13,1184.95 1947.21,1185.19 1949.29,1185.42 1951.37,1185.66 1953.45,1185.89 1955.53,1186.12 1957.61,1186.36 \n  1959.69,1186.59 1961.77,1186.82 1963.85,1187.05 1965.93,1187.28 1968.01,1187.51 1970.09,1187.74 1972.17,1187.97 1974.25,1188.2 1976.33,1188.42 1978.41,1188.65 \n  1980.49,1188.88 1982.57,1189.1 1984.65,1189.33 1986.73,1189.55 1988.81,1189.78 1990.89,1190 1992.97,1190.22 1995.05,1190.44 1997.13,1190.66 1999.21,1190.89 \n  2001.29,1191.11 2003.37,1191.33 2005.45,1191.54 2007.53,1191.76 2009.61,1191.98 2011.69,1192.2 2013.76,1192.41 2015.84,1192.63 2017.92,1192.85 2020,1193.06 \n  2022.08,1193.27 2024.16,1193.49 2026.24,1193.7 2028.32,1193.91 2030.4,1194.12 2032.48,1194.34 2034.56,1194.55 2036.64,1194.76 2038.72,1194.97 2040.8,1195.17 \n  2042.88,1195.38 2044.96,1195.59 2047.04,1195.8 2049.12,1196 2051.2,1196.21 2053.28,1196.42 2055.36,1196.62 2057.44,1196.82 2059.52,1197.03 2061.6,1197.23 \n  2063.68,1197.43 2065.76,1197.64 2067.84,1197.84 2069.92,1198.04 2072,1198.24 2074.08,1198.44 2076.16,1198.64 2078.24,1198.83 2080.32,1199.03 2082.4,1199.23 \n  2084.47,1199.43 2086.55,1199.62 2088.63,1199.82 2090.71,1200.01 2092.79,1200.21 2094.87,1200.4 2096.95,1200.59 2099.03,1200.79 2101.11,1200.98 2103.19,1201.17 \n  2105.27,1201.36 2107.35,1201.55 2109.43,1201.74 2111.51,1201.93 2113.59,1202.12 2115.67,1202.31 2117.75,1202.49 2119.83,1202.68 2121.91,1202.87 2123.99,1203.05 \n  2126.07,1203.24 2128.15,1203.42 2130.23,1203.61 2132.31,1203.79 2134.39,1203.98 2136.47,1204.16 2138.55,1204.34 2140.63,1204.52 2142.71,1204.7 2144.79,1204.88 \n  2146.87,1205.06 2148.95,1205.24 2151.03,1205.42 2153.1,1205.6 2155.18,1205.78 2157.26,1205.95 2159.34,1206.13 2161.42,1206.31 2163.5,1206.48 2165.58,1206.66 \n  2167.66,1206.83 2169.74,1207.01 2171.82,1207.18 2173.9,1207.35 2175.98,1207.52 2178.06,1207.7 2180.14,1207.87 2182.22,1208.04 2184.3,1208.21 2186.38,1208.38 \n  2188.46,1208.55 2190.54,1208.72 2192.62,1208.88 2194.7,1209.05 2196.78,1209.22 2198.86,1209.39 2200.94,1209.55 2203.02,1209.72 2205.1,1209.88 2207.18,1210.05 \n  2209.26,1210.21 2211.34,1210.37 2213.42,1210.54 2215.5,1210.7 2217.58,1210.86 2219.66,1211.02 2221.73,1211.18 2223.81,1211.34 2225.89,1211.5 2227.97,1211.66 \n  2230.05,1211.82 2232.13,1211.98 2234.21,1212.14 2236.29,1212.3 2238.37,1212.45 2240.45,1212.61 2242.53,1212.77 2244.61,1212.92 2246.69,1213.08 2248.77,1213.23 \n  2250.85,1213.39 2252.93,1213.54 2255.01,1213.69 2257.09,1213.84 2259.17,1214 2261.25,1214.15 2263.33,1214.3 2265.41,1214.45 2267.49,1214.6 2269.57,1214.75 \n  2271.65,1214.9 2273.73,1215.05 2275.81,1215.2 2277.89,1215.34 2279.97,1215.49 2282.05,1215.64 2284.13,1215.78 2286.21,1215.93 2288.29,1216.08 2290.36,1216.22 \n  2292.44,1216.36 2294.52,1216.51 2296.6,1216.65 2298.68,1216.8 2300.76,1216.94 2302.84,1217.08 2304.92,1217.22 2307,1217.36 2309.08,1217.5 2311.16,1217.64 \n  2313.24,1217.78 2315.32,1217.92 2317.4,1218.06 2319.48,1218.2 2321.56,1218.34 2323.64,1218.48 2325.72,1218.61 2327.8,1218.75 2329.88,1218.89 2331.96,1219.02 \n  2334.04,1219.16 2336.12,1219.29 2338.2,1219.43 2340.28,1219.56 2342.36,1219.69 2344.44,1219.83 2346.52,1219.96 2348.6,1220.09 2350.68,1220.22 2352.76,1220.35 \n  \n  \"/>\n<polyline clip-path=\"url(#clip192)\" style=\"stroke:#00a8cb; stroke-linecap:butt; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  275.136,1384.24 277.216,1384.24 279.296,1384.24 281.375,1384.24 283.455,1384.24 285.535,1384.23 287.615,1384.23 289.694,1384.22 291.774,1384.22 293.854,1384.21 \n  295.933,1384.19 298.013,1384.18 300.093,1384.16 302.172,1384.14 304.252,1384.12 306.332,1384.1 308.412,1384.07 310.491,1384.03 312.571,1384 314.651,1383.96 \n  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824.177,1235.15 826.257,1234.39 828.336,1233.64 830.416,1232.89 832.496,1232.14 834.575,1231.39 \n  836.655,1230.64 838.735,1229.9 840.815,1229.16 842.894,1228.42 844.974,1227.68 847.054,1226.95 849.133,1226.22 851.213,1225.49 853.293,1224.76 855.372,1224.04 \n  857.452,1223.31 859.532,1222.59 861.612,1221.88 863.691,1221.16 865.771,1220.45 867.851,1219.74 869.93,1219.03 872.01,1218.33 874.09,1217.62 876.169,1216.92 \n  878.249,1216.23 880.329,1215.53 882.409,1214.84 884.488,1214.15 886.568,1213.46 888.648,1212.78 890.727,1212.1 892.807,1211.42 894.887,1210.74 896.966,1210.07 \n  899.046,1209.4 901.126,1208.73 903.206,1208.06 905.285,1207.4 907.365,1206.74 909.445,1206.08 911.524,1205.43 913.604,1204.78 915.684,1204.13 917.763,1203.48 \n  919.843,1202.84 921.923,1202.2 924.003,1201.56 926.082,1200.92 928.162,1200.29 930.242,1199.66 932.321,1199.03 934.401,1198.41 936.481,1197.79 938.56,1197.17 \n  940.64,1196.56 942.72,1195.94 944.8,1195.34 946.879,1194.73 948.959,1194.13 951.039,1193.52 953.118,1192.93 955.198,1192.33 957.278,1191.74 959.357,1191.15 \n  961.437,1190.57 963.517,1189.98 965.597,1189.4 967.676,1188.82 969.756,1188.25 971.836,1187.68 973.915,1187.11 975.995,1186.54 978.075,1185.98 980.154,1185.42 \n  982.234,1184.87 984.314,1184.31 986.394,1183.76 988.473,1183.21 990.553,1182.67 992.633,1182.13 994.712,1181.59 996.792,1181.05 998.872,1180.52 1000.95,1179.99 \n  1003.03,1179.46 1005.11,1178.94 1007.19,1178.42 1009.27,1177.9 1011.35,1177.38 1013.43,1176.87 1015.51,1176.36 1017.59,1175.86 1019.67,1175.35 1021.75,1174.85 \n  1023.83,1174.36 1025.91,1173.86 1027.99,1173.37 1030.07,1172.88 1032.15,1172.4 1034.23,1171.91 1036.31,1171.43 1038.39,1170.96 1040.47,1170.48 1042.55,1170.01 \n  1044.63,1169.55 1046.7,1169.08 1048.78,1168.62 1050.86,1168.16 1052.94,1167.7 1055.02,1167.25 1057.1,1166.8 1059.18,1166.35 1061.26,1165.91 1063.34,1165.47 \n  1065.42,1165.03 1067.5,1164.6 1069.58,1164.16 1071.66,1163.73 1073.74,1163.31 1075.82,1162.88 1077.9,1162.46 1079.98,1162.04 1082.06,1161.63 1084.14,1161.22 \n  1086.22,1160.81 1088.3,1160.4 1090.38,1160 1092.46,1159.6 1094.54,1159.2 1096.62,1158.8 1098.7,1158.41 1100.78,1158.02 1102.86,1157.64 1104.94,1157.25 \n  1107.02,1156.87 1109.1,1156.49 1111.18,1156.12 1113.26,1155.74 1115.33,1155.37 1117.41,1155.01 1119.49,1154.64 1121.57,1154.28 1123.65,1153.92 1125.73,1153.57 \n  1127.81,1153.21 1129.89,1152.86 1131.97,1152.52 1134.05,1152.17 1136.13,1151.83 1138.21,1151.49 1140.29,1151.15 1142.37,1150.82 1144.45,1150.49 1146.53,1150.16 \n  1148.61,1149.83 1150.69,1149.51 1152.77,1149.19 1154.85,1148.87 1156.93,1148.56 1159.01,1148.25 1161.09,1147.94 1163.17,1147.63 1165.25,1147.32 1167.33,1147.02 \n  1169.41,1146.72 1171.49,1146.43 1173.57,1146.13 1175.65,1145.84 1177.73,1145.55 1179.81,1145.26 1181.89,1144.98 1183.96,1144.7 1186.04,1144.42 1188.12,1144.14 \n  1190.2,1143.87 1192.28,1143.6 1194.36,1143.33 1196.44,1143.06 1198.52,1142.8 1200.6,1142.54 1202.68,1142.28 1204.76,1142.02 1206.84,1141.77 1208.92,1141.52 \n  1211,1141.27 1213.08,1141.02 1215.16,1140.78 1217.24,1140.54 1219.32,1140.3 1221.4,1140.06 1223.48,1139.83 1225.56,1139.59 1227.64,1139.37 1229.72,1139.14 \n  1231.8,1138.91 1233.88,1138.69 1235.96,1138.47 1238.04,1138.25 1240.12,1138.04 1242.2,1137.82 1244.28,1137.61 1246.36,1137.4 1248.44,1137.2 1250.52,1136.99 \n  1252.6,1136.79 1254.67,1136.59 1256.75,1136.39 1258.83,1136.2 1260.91,1136 1262.99,1135.81 1265.07,1135.62 1267.15,1135.44 1269.23,1135.25 1271.31,1135.07 \n  1273.39,1134.89 1275.47,1134.71 1277.55,1134.54 1279.63,1134.36 1281.71,1134.19 1283.79,1134.02 1285.87,1133.86 1287.95,1133.69 1290.03,1133.53 1292.11,1133.37 \n  1294.19,1133.21 1296.27,1133.05 1298.35,1132.9 1300.43,1132.74 1302.51,1132.59 1304.59,1132.45 1306.67,1132.3 1308.75,1132.15 1310.83,1132.01 1312.91,1131.87 \n  1314.99,1131.73 1317.07,1131.59 1319.15,1131.46 1321.23,1131.33 1323.3,1131.2 1325.38,1131.07 1327.46,1130.94 1329.54,1130.81 1331.62,1130.69 1333.7,1130.57 \n  1335.78,1130.45 1337.86,1130.33 1339.94,1130.22 1342.02,1130.1 1344.1,1129.99 1346.18,1129.88 1348.26,1129.77 1350.34,1129.67 1352.42,1129.56 1354.5,1129.46 \n  1356.58,1129.36 1358.66,1129.26 1360.74,1129.16 1362.82,1129.06 1364.9,1128.97 1366.98,1128.88 1369.06,1128.79 1371.14,1128.7 1373.22,1128.61 1375.3,1128.52 \n  1377.38,1128.44 1379.46,1128.36 1381.54,1128.28 1383.62,1128.2 1385.7,1128.12 1387.78,1128.04 1389.86,1127.97 1391.93,1127.9 1394.01,1127.83 1396.09,1127.76 \n  1398.17,1127.69 1400.25,1127.62 1402.33,1127.56 1404.41,1127.5 1406.49,1127.43 1408.57,1127.37 1410.65,1127.32 1412.73,1127.26 1414.81,1127.2 1416.89,1127.15 \n  1418.97,1127.1 1421.05,1127.05 1423.13,1127 1425.21,1126.95 1427.29,1126.9 1429.37,1126.86 1431.45,1126.81 1433.53,1126.77 1435.61,1126.73 1437.69,1126.69 \n  1439.77,1126.65 1441.85,1126.62 1443.93,1126.58 1446.01,1126.55 1448.09,1126.52 1450.17,1126.49 1452.25,1126.46 1454.33,1126.43 1456.41,1126.4 1458.49,1126.38 \n  1460.56,1126.35 1462.64,1126.33 1464.72,1126.31 1466.8,1126.29 1468.88,1126.27 1470.96,1126.25 1473.04,1126.23 1475.12,1126.22 1477.2,1126.2 1479.28,1126.19 \n  1481.36,1126.18 1483.44,1126.17 1485.52,1126.16 1487.6,1126.15 1489.68,1126.15 1491.76,1126.14 1493.84,1126.14 1495.92,1126.13 1498,1126.13 1500.08,1126.13 \n  1502.16,1126.13 1504.24,1126.13 1506.32,1126.14 1508.4,1126.14 1510.48,1126.14 1512.56,1126.15 1514.64,1126.16 1516.72,1126.17 1518.8,1126.18 1520.88,1126.19 \n  1522.96,1126.2 1525.04,1126.21 1527.12,1126.22 1529.2,1126.24 1531.27,1126.25 1533.35,1126.27 1535.43,1126.29 1537.51,1126.31 1539.59,1126.33 1541.67,1126.35 \n  1543.75,1126.37 1545.83,1126.39 1547.91,1126.42 1549.99,1126.44 1552.07,1126.47 1554.15,1126.49 1556.23,1126.52 1558.31,1126.55 1560.39,1126.58 1562.47,1126.61 \n  1564.55,1126.64 1566.63,1126.67 1568.71,1126.71 1570.79,1126.74 1572.87,1126.78 1574.95,1126.81 1577.03,1126.85 1579.11,1126.89 1581.19,1126.93 1583.27,1126.96 \n  1585.35,1127 1587.43,1127.05 1589.51,1127.09 1591.59,1127.13 1593.67,1127.17 1595.75,1127.22 1597.83,1127.26 1599.9,1127.31 1601.98,1127.36 1604.06,1127.4 \n  1606.14,1127.45 1608.22,1127.5 1610.3,1127.55 1612.38,1127.6 1614.46,1127.65 1616.54,1127.71 1618.62,1127.76 1620.7,1127.81 1622.78,1127.87 1624.86,1127.92 \n  1626.94,1127.98 1629.02,1128.03 1631.1,1128.09 1633.18,1128.15 1635.26,1128.21 1637.34,1128.27 1639.42,1128.33 1641.5,1128.39 1643.58,1128.45 1645.66,1128.51 \n  1647.74,1128.57 1649.82,1128.64 1651.9,1128.7 1653.98,1128.77 1656.06,1128.83 1658.14,1128.9 1660.22,1128.96 1662.3,1129.03 1664.38,1129.1 1666.46,1129.17 \n  1668.53,1129.23 1670.61,1129.3 1672.69,1129.37 1674.77,1129.44 1676.85,1129.52 1678.93,1129.59 1681.01,1129.66 1683.09,1129.73 1685.17,1129.81 1687.25,1129.88 \n  1689.33,1129.95 1691.41,1130.03 1693.49,1130.1 1695.57,1130.18 1697.65,1130.26 1699.73,1130.33 1701.81,1130.41 1703.89,1130.49 1705.97,1130.57 1708.05,1130.65 \n  1710.13,1130.73 1712.21,1130.81 1714.29,1130.89 1716.37,1130.97 1718.45,1131.05 1720.53,1131.13 1722.61,1131.21 1724.69,1131.3 1726.77,1131.38 1728.85,1131.46 \n  1730.93,1131.55 1733.01,1131.63 1735.09,1131.72 1737.16,1131.8 1739.24,1131.89 1741.32,1131.98 1743.4,1132.06 1745.48,1132.15 1747.56,1132.24 1749.64,1132.32 \n  1751.72,1132.41 1753.8,1132.5 1755.88,1132.59 1757.96,1132.68 1760.04,1132.77 1762.12,1132.86 1764.2,1132.95 1766.28,1133.04 1768.36,1133.13 1770.44,1133.22 \n  1772.52,1133.31 1774.6,1133.41 1776.68,1133.5 1778.76,1133.59 1780.84,1133.68 1782.92,1133.78 1785,1133.87 1787.08,1133.97 1789.16,1134.06 1791.24,1134.15 \n  1793.32,1134.25 1795.4,1134.34 1797.48,1134.44 1799.56,1134.54 1801.64,1134.63 1803.72,1134.73 1805.8,1134.82 1807.87,1134.92 1809.95,1135.02 1812.03,1135.12 \n  1814.11,1135.21 1816.19,1135.31 1818.27,1135.41 1820.35,1135.51 1822.43,1135.61 1824.51,1135.71 1826.59,1135.8 1828.67,1135.9 1830.75,1136 1832.83,1136.1 \n  1834.91,1136.2 1836.99,1136.3 1839.07,1136.4 1841.15,1136.5 1843.23,1136.6 1845.31,1136.71 1847.39,1136.81 1849.47,1136.91 1851.55,1137.01 1853.63,1137.11 \n  1855.71,1137.21 1857.79,1137.32 1859.87,1137.42 1861.95,1137.52 1864.03,1137.62 1866.11,1137.73 1868.19,1137.83 1870.27,1137.93 1872.35,1138.04 1874.43,1138.14 \n  1876.5,1138.24 1878.58,1138.35 1880.66,1138.45 1882.74,1138.55 1884.82,1138.66 1886.9,1138.76 1888.98,1138.87 1891.06,1138.97 1893.14,1139.08 1895.22,1139.18 \n  1897.3,1139.29 1899.38,1139.39 1901.46,1139.5 1903.54,1139.6 1905.62,1139.71 1907.7,1139.81 1909.78,1139.92 1911.86,1140.02 1913.94,1140.13 1916.02,1140.23 \n  1918.1,1140.34 1920.18,1140.45 1922.26,1140.55 1924.34,1140.66 1926.42,1140.76 1928.5,1140.87 1930.58,1140.98 1932.66,1141.08 1934.74,1141.19 1936.82,1141.3 \n  1938.9,1141.4 1940.98,1141.51 1943.06,1141.62 1945.13,1141.72 1947.21,1141.83 1949.29,1141.94 1951.37,1142.04 1953.45,1142.15 1955.53,1142.26 1957.61,1142.36 \n  1959.69,1142.47 1961.77,1142.58 1963.85,1142.69 1965.93,1142.79 1968.01,1142.9 1970.09,1143.01 1972.17,1143.11 1974.25,1143.22 1976.33,1143.33 1978.41,1143.44 \n  1980.49,1143.54 1982.57,1143.65 1984.65,1143.76 1986.73,1143.86 1988.81,1143.97 1990.89,1144.08 1992.97,1144.19 1995.05,1144.29 1997.13,1144.4 1999.21,1144.51 \n  2001.29,1144.62 2003.37,1144.72 2005.45,1144.83 2007.53,1144.94 2009.61,1145.04 2011.69,1145.15 2013.76,1145.26 2015.84,1145.37 2017.92,1145.47 2020,1145.58 \n  2022.08,1145.69 2024.16,1145.79 2026.24,1145.9 2028.32,1146.01 2030.4,1146.12 2032.48,1146.22 2034.56,1146.33 2036.64,1146.44 2038.72,1146.54 2040.8,1146.65 \n  2042.88,1146.76 2044.96,1146.86 2047.04,1146.97 2049.12,1147.08 2051.2,1147.18 2053.28,1147.29 2055.36,1147.4 2057.44,1147.5 2059.52,1147.61 2061.6,1147.71 \n  2063.68,1147.82 2065.76,1147.93 2067.84,1148.03 2069.92,1148.14 2072,1148.24 2074.08,1148.35 2076.16,1148.45 2078.24,1148.56 2080.32,1148.67 2082.4,1148.77 \n  2084.47,1148.88 2086.55,1148.98 2088.63,1149.09 2090.71,1149.19 2092.79,1149.3 2094.87,1149.4 2096.95,1149.51 2099.03,1149.61 2101.11,1149.72 2103.19,1149.82 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1030.07,1217.11 1032.15,1216.11 1034.23,1215.11 1036.31,1214.11 1038.39,1213.1 1040.47,1212.1 1042.55,1211.09 \n  1044.63,1210.09 1046.7,1209.08 1048.78,1208.07 1050.86,1207.06 1052.94,1206.05 1055.02,1205.04 1057.1,1204.02 1059.18,1203.01 1061.26,1201.99 1063.34,1200.98 \n  1065.42,1199.96 1067.5,1198.94 1069.58,1197.92 1071.66,1196.9 1073.74,1195.88 1075.82,1194.86 1077.9,1193.83 1079.98,1192.81 1082.06,1191.78 1084.14,1190.76 \n  1086.22,1189.73 1088.3,1188.7 1090.38,1187.68 1092.46,1186.65 1094.54,1185.62 1096.62,1184.59 1098.7,1183.56 1100.78,1182.52 1102.86,1181.49 1104.94,1180.46 \n  1107.02,1179.42 1109.1,1178.39 1111.18,1177.36 1113.26,1176.32 1115.33,1175.28 1117.41,1174.25 1119.49,1173.21 1121.57,1172.17 1123.65,1171.13 1125.73,1170.1 \n  1127.81,1169.06 1129.89,1168.02 1131.97,1166.98 1134.05,1165.94 1136.13,1164.9 1138.21,1163.86 1140.29,1162.82 1142.37,1161.77 1144.45,1160.73 1146.53,1159.69 \n  1148.61,1158.65 1150.69,1157.61 1152.77,1156.56 1154.85,1155.52 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     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# results are tested the same as the Anylogic model\n",
    "prob_pertussis = ODEProblem(vectorfield(pertussis_model),u0,(0.0,24.0),p);\n",
    "sol = solve(prob_pertussis,Tsit5(),abstol=1e-8);\n",
    "plot(sol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
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