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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Initial Value Problems - Project\n",
"\n",
"![Initial condition of firework with FBD and sum of momentum](../images/firework.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are going to end this module with a __bang__ by looking at the flight path of a firework. Shown above is the initial condition of a firework, the _Freedom Flyer_ in (a), its final height where it detonates in (b), the applied forces in the __Free Body Diagram (FBD)__ in (c), and the __momentum__ of the firework $m\\mathbf{v}$ and the propellent $dm \\mathbf{u}$ in (d). \n",
"\n",
"The resulting equation of motion is that the acceleration is proportional to the speed of the propellent and the mass rate change $\\frac{dm}{dt}$ as such\n",
"\n",
"$$\\begin{equation}\n",
"m\\frac{dv}{dt} = u\\frac{dm}{dt} -mg - cv^2.~~~~~~~~(1)\n",
"\\end{equation}$$\n",
"\n",
"If we assume that the acceleration and the propellent momentum are much greater than the forces of gravity and drag, then the equation is simplified to the conservation of momentum. A further simplification is that the speed of the propellant is constant, $u=constant$, then the equation can be integrated to obtain an analytical rocket equation solution of [Tsiolkovsky](https://www.math24.net/rocket-motion/) [1,2], \n",
"\n",
"$$\\begin{equation}\n",
"m\\frac{dv}{dt} = u\\frac{dm}{dt}~~~~~(2.a)\n",
"\\end{equation}$$\n",
"\n",
"$$\\begin{equation}\n",
"\\frac{m_{f}}{m_{0}}=e^{-\\Delta v / u},~~~~~(2.b) \n",
"\\end{equation}$$\n",
"\n",
"where $m_f$ and $m_0$ are the mass at beginning and end of flight, $u$ is the speed of the propellent, and $\\Delta v=v_{final}-v_{initial}$ is the change in speed of the rocket from beginning to end of flight. Equation 2.b only relates the final velocity to the change in mass and propellent speed. When you integrate Eqn 2.a, you will have to compare the velocity as a function of mass loss. \n",
"\n",
"Your first objective is to integrate a numerical model that converges to equation (2.b), the Tsiolkovsky equation. Next, you will add drag and gravity and compare the results _between equations (1) and (2)_. Finally, you will vary the mass change rate to achieve the desired detonation height. \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Create a `simplerocket` function that returns the velocity, $v$, the acceleration, $a$, and the mass rate change $\\frac{dm}{dt}$, as a function of the $state = [position,~velocity,~mass] = [y,~v,~m]$ using eqn (2.a). Where the mass rate change $\\frac{dm}{dt}$ and the propellent speed $u$ are constants. The average velocity of gun powder propellent used in firework rockets is $u=250$ m/s [3,4]. \n",
"\n",
"$\\frac{d~state}{dt} = f(state)$\n",
"\n",
"$\\left[\\begin{array}{c} v\\\\a\\\\ \\frac{dm}{dt} \\end{array}\\right] = \\left[\\begin{array}{c} v\\\\ \\frac{u}{m}\\frac{dm}{dt} \\\\ \\frac{dm}{dt} \\end{array}\\right]$\n",
"\n",
"Use [two integration methods](../notebooks/03_Get_Oscillations.ipynb) to integrate the `simplerocket` function, one explicit method and one implicit method. Demonstrate that the solutions converge to equation (2.b) the Tsiolkovsky equation. Use an initial state of y=0 m, v=0 m/s, and m=0.25 kg. \n",
"\n",
"Integrate the function until mass, $m_{f}=0.05~kg$, using a mass rate change of $\\frac{dm}{dt}=0.05$ kg/s. \n",
"\n",
"_Hint: your integrated solution will have a current mass that you can use to create $\\frac{m_{f}}{m_{0}}$ by dividing state[2]/(initial mass), then your plot of velocity(t) vs mass(t)/mass(0) should match Tsiolkovsky's_"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.rcParams.update({'font.size': 22})\n",
"plt.rcParams['lines.linewidth'] = 3"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def heun_step(state,rhs,dt,etol=0.000001,maxiters = 100):\n",
" e=1\n",
" eps=np.finfo('float64').eps\n",
" next_state = state + rhs(state)*dt\n",
" ################### New iterative correction #########################\n",
" for n in range(0,maxiters):\n",
" next_state_old = next_state\n",
" next_state = state + (rhs(state)+rhs(next_state))/2*dt\n",
" e=np.sum(np.abs(next_state-next_state_old)/np.abs(next_state+eps))\n",
" if e<etol:\n",
" break\n",
" ############### end of iterative correction #########################\n",
" return next_state\n",
"\n",
"def rk2_step(state, rhs, dt):\n",
" mid_state = state + rhs(state) * dt*0.5 \n",
" next_state = state + rhs(mid_state)*dt\n",
" \n",
" return next_state\n",
"def eulerstep(state, rhs, dt):\n",
" next_state = state + rhs(state) * dt\n",
" return next_state"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"y_0 = 0\n",
"v_0 = 0\n",
"m_0 = 0.25\n",
"u = 250\n",
"dmdt = 0.05\n",
"m_f = 0.05\n",
"\n",
"def simplerocket(state,dmdt=0.05, u=250):\n",
" '''Computes the right-hand side of the differential equation\n",
" for the acceleration of a rocket, without drag or gravity, in SI units.\n",
" \n",
" Arguments\n",
" ---------- \n",
" state : array of three dependent variables [y v m]^T\n",
" dmdt : mass rate change of rocket in kilograms/s default set to 0.05 kg/s\n",
" u : speed of propellent expelled (default is 250 m/s)\n",
" \n",
" Returns\n",
" -------\n",
" derivs: array of three derivatives [v (u/m*dmdt-g-c/mv^2) -dmdt]^T\n",
" '''\n",
" \n",
" dstate = np.array([state[1], (u/state[2])*dmdt, -dmdt]) \n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"T = (m_0-m_f)/dmdt # simulation time, in number of seconds\n",
"N_heun = 100\n",
"N_eul = 100\n",
"\n",
"# time array\n",
"t_heun = np.linspace(0, T, N_heun)\n",
"t_eul = np.linspace(0, T, N_eul)\n",
"\n",
"#initialize solution array\n",
"num_heun = np.zeros([N_heun,3])\n",
"num_eul = np.zeros([N_eul,3])\n",
"\n",
"#time step\n",
"dt_heun = T/N_heun\n",
"dt_eul = T/N_eul\n",
"\n",
"#Set intial conditions\n",
"num_heun[0,0] = y_0\n",
"num_heun[0,1] = v_0\n",
"num_heun[0,2] = m_0\n",
"num_eul[0,0] = y_0\n",
"num_eul[0,1] = v_0\n",
"num_eul[0,2] = m_0\n",
"for i in range(N_heun-1):\n",
" num_heun[i+1] = heun_step(num_heun[i], simplerocket, dt_heun)\n",
"for j in range(N_eul-1):\n",
" num_eul[j+1] = eulerstep(num_eul[j], simplerocket, dt_eul)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"#Tsiolkovsky\n",
"N_tsio = 100\n",
"dt_tsio = T/N_tsio\n",
"t_tsio = np.linspace(0,T,N_tsio)\n",
"m_tsio = m_0-dmdt*t_tsio\n",
"mf_m0 = m_tsio/m_0\n",
"v_tsio = np.log(mf_m0)*(-u)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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NMQxDd0Ojyeanu62+vMHHGMNpkNPTZPk8T04Prh3mkJplftO1OKf9Nt/zutaWdNs8x8g5L69uVSciOzHc50BO7+Bo8/MUOfNfC8oSDKMhEGN1PhhDjYFmfJ4OoUXkjIh8LiKPikgbjKHnqxg93BMLqZ8tH2Cswo/CWKS0TUR+9ySj2ZNtmZP6vpveRY/cnIjIZRH5TkSeF5EbMaZ4WKZvPOUmX3G1laW+tRguXsBw8u3M4bzlHt8vIluclWMak9d67uh+87OOOZ/YFc3IsVP2u5HTFBHaKNSUOsyVahZ/e3Vx6C00DRHLKtSblVJOh0DMoZQB5uEGh+TV5md9pVShJjg7MQzXujEMvzY/cy04yAeWhTW5doUoKGbvwTLz8FalVA2MXhAw3OK4W6BhOad+qgC7v+TBdoyFR+Bm1xWlVHdy5ilar7W5CGmdeXibcuEnsIDYLnDy9FpYFpzcpoytBS2G97uuFkx5iogcIedcHQ37NSJyNFemvMv8AsNfHxgv8CJBRM5ibwTnZy6lPzlzB921e4FW6JrD25YFP1FKqSB38jb5rklbOTCVnNGGx530FloWZblrl5sw3Nu4oiieL5bfoA85i6icMcTmu+MzWnMN0EahprTyMjkr/SY7cSlhebnWwnA944ynyRn+nOeQ9q5N+W+abmWc4srotCUfPYavYfjbCwQWOSx+cVa3s9WBFjc7jisqC4vlxRyMMZRnMaDyGtZ7BaMnqjyQmJfh5eKcnCIiaRjzvgASlJOt4syXtsW1RSo5DpItvGp+VgNedzHsZikrP3OsTtt89/RaLMV4qYdg9PpYFlMVdujYguVadVeG0+auDvF2KKWqWYaaXaT7Yzg/BvvzLQr+iWE8NSNnaD1PzPmZlrmXg5zJKKUexFi57izNX+XtQN2yEO0SxpxDb7cVACJyAmNnHjAcUA90EPnL/KytlMrVc6+UisB4trrDonsFpVRBp1ystdHlaWfPV6VUQ+Ah83CN6bpJc62REuAsUQcdLAEPt7kzZW2dJo9wSFMY838s6XMwHpKVMIZQ5tuk5XJea5Zh6wB7P8aOFw0wJmTXxVgVuQR4ziGfu23uupLjkHUXzp22PmhT7x6zvIZmvdUxHPw+AuwAtrtpl3RTx3CMeUZ+gCrEtfEhZ0s223bJs0yM+ViWPL9iDIta2rKG2S6TMeZebXCS353z6prkOO09h+F3MArD4O8N/GBT9xgX+i20kVmD0YNc3Wy75ua13+R4T+LGebWZfsRMX4cxfB1kuRZu2mqxQxv/UIS/r4rkOCZONj/TgAou5OPN+zURYwefxmab1DLbdrWNnncUQB8759X5zOvSebXNdREMg7IVRu9XG4xnQbZ5H1pkWtvkDcOYN/gVxoKV1hi9zFUwDMnZNvnme6Gt3DrrxlhNnGbKbnVIq47xXLA4jR5m6lcDGIHh3uYKhicAV23byOY8XjXz+5v3ta9DOzp1Xm2m32ST/jvGfPGqpi6jMKZ2CIbR3bKofgM65HGfeVsBHXSwDeTPKAwhxxjYjYNxQtHsfZxg8xB1FTze+9hM98QwnGA+nN3VK8BGJ3lrYfSIOZP3eO9jF7rPcCjvv/nI+xA5u7W4C7n2WSbvvY87kPfex0+60c0f+z8KrkIPh3x5GYWPuCkrzEWeHg5yY4v4N/aeQ/lL3cjGe9AmAswuoC7XyigMw97ocwzbMBaPWI4djUJPznmj7TUsxrbKcwcXjOk1lvp6O6SNIWcHHceQgfEMXu6uLozVyc7y53fv4zHovY9LVPC6AjroYBvIh1Foyj9uI3+rk3QfDMNuNYbRkIGxc8VXGP+MPenlqoVhDP2MYWylYwx9rMbYrSPSQd6tUWjK2BqGvziWYcrUxtgDeRuG8ZuJsahjF0bvR38gwEX5zTF6MQ9gb1wW1ihs7vDQbpLP/FEYO9LswBiezzTb9BeM4dJ+zs6JPIxCUyYcY07Vj2aZlzF6MhOBaA/164IxTJ5sXudUDP+H72P0ZAQ4yLs1Ck2ZuzD+nJzF6IHKyyhUGAudxNTBqVwhrqFtD43gsMWjg2w5jJ14ZmDM6dpvtmu6qeO7FGJLN66RUWimh2DsfbzX/A2cweg1fghj5bHTbQjN9m8PPIrho3Cv+VvNwNgZ5gsMNzm+DvUVV1t5YhTa9hZ+5yQ9DmNl9lmzbQ5g9FBHm+l5GYXBGNNvfsGYElMgo9CUa4Ix5P0HRi/2RYw/+S8A1Yvy3tch76DMi6LRaDSaEoJSajeGAb5URFxtTafRaDRFil5ootFoNCUI0/GwxSVIUS0w0Wg0mjzRRqFGo9GULB4wP/dhLHrRaDSaYuFabWGj0Wg0Gg8xXd0EY8xzHWFGzxQ9v0ej0RQjek6hRqPReBGlVGvgJ4fo7UAnEcn0gkoajeZvih4+1mg0mpKBYPiBnIvhhkMbhBqNpljRPYWFJCIiQurWrettNTQajUaj0WjyZMeOHSki4nSrVT2nsJDUrVuX7du3e1sNjUaj0Wg0mjxRSh1wlaaHjzUajUaj0Wg02ijUaDQajUaj0WijUKPRaDQajUaDNgo1Go1Go9FoNGijUKPRaDQajUaDNgo1Go1Go9FoNGijUKPRaDQajUaDNgo1Go1Go9FoNGijUKPRaDQajUaD3tFEo9GUcUSECxcucP78eS5dukRWVpa3VdJoNJpC4+fnR2hoKJUqVcLPr2jMOW0UajSaMouIcPLkSdLS0qhUqRLVqlXD19cXpZS3VdNoNJoCIyJkZGRw+vRpDh06RFRUFD4+hR/81cPHGo2mzHLhwgXS0tKIiooiLCwMPz8/bRBqNJpSj1KKwMBAqlevjp+fH2fPni2ScrVRqNFoyiznz5+nUqVK+Pr6elsVjUajKXKUUoSFhZGWllYk5WmjUKPRlFkuXbpEhQoVvK2GRqPRXDPKly9Penp6kZSljUKNRlNmycrK0r2EGo2mTOPj40N2dnbRlFUkpWg0Gk0JRc8h1Gg0ZZmifMZpo1Cj0Wg0Go1Go41CjUaj0Wg0Gk0JNgqVUs8qpcQMD7uRG6GU+l4plaqUuqiU2q6UGqeUcntuBc2n0Wg0ZQGlVL7DqFGjClRXTEwMSim2b99eaL0vXryIUsrpAqKIiAiUUqSkpBS6Hm+ye/dulFK0aNHCq3qICEuWLKFv375UrVoVf39/KlWqRJMmTYiPj2fmzJkcPny4SOoqynvEU8rK/VKUlEjn1UqpdsAjgAAuB8uVUrOBfwGXgW+Bq0Ac8DoQp5QaKiK5ti8oaD6NRqMpKyQkJOSKO378OKtWrSI4OJghQ4bkSu/SpUtxqKYpAVy5coVbb72VL7/8EqUUMTExdOvWDaUU+/bt44svvuDTTz8lIiKiwH8WriUPP/wws2bN4oUXXuDhh132K2kcKHFGoVIqEFgInAB+AOJdyA3GMOyOA91E5A8zviqwFrgFGA+8UhT5vMXyn47wwqrfOXounRphQUzs04T4NjW9rZZGoynlLFy4MFfcunXrWLVqFREREU7TC8r//vc/0tPTqVu3bpGVqbm2vPjii3z55ZfUrVuXr776iqZNm9qlnzlzho8++og6dep4ScPCs2XLFjIzMwkPD/e2KiWGEmcUAtOA64CbgcFu5B41PydZDDsAETmhlBoLrAMmK6VeE5HsIshX7CzbcZhJn+wiI8tQ48i5dB79ZBeANgw1Gk2pISoqytsqaPLJBx98AMAzzzyTyyAEqFSpEvfee29xq1WkNGzY0NsqlDhK1Pw5pVQH4CFgqYiscCNXC4gGMoCPHNNFZD1wBKgGdCxsPm/xzFd7rAahhfSrWbyw6ncvaaTRaDQGiYmJdO/enfDwcPz9/YmMjKRVq1bcf//9HDx40E7W3XyxK1eu8OKLLxITE0PFihUpX748LVq04IknniA1NbVIdM3KyuJf//oXSimuv/76XPPgdu7cyYgRI6hZsyYBAQFUqVKFgQMHsmbNmlxltWzZEqUU3377rcv67rvvPpRSPPXUU9a4tLQ0nn76aVq1akVwcDCBgYHUqFGD2NhYpkyZQmZmpkfncvr0aTp37oxSiuHDh3PlyhUeeeQRlFJuh0mXLl2KUopevXp5VM/JkycBqFKlikfyjnzyySfceOONVKpUicDAQKKiorj77rvZt29fvsrJa67hkCFDUErx8ccfAzlzTmfNmgXAxIkT7ebFzpw505rX3ZzC8+fPM2XKFFq2bElwcDAVK1YkOjqamTNncvny5Vzyn3/+OUopBgwYwOXLl5kyZQqNGjUiMDCQatWqMWrUKI4dO5avc/cGJcYoVEqVAxKBM8ADeYi3MT9/FRFXbry3OcgWJp9XOH3xitP4o+eKxnO5RqMpepb/dITY6WuoN/kLYqevYflPR7ytUpHz8MMPM2rUKLZs2UKbNm0YOnQoMTExXL58mddee41ffvnFo3IuXrxIjx49eOihh9i7dy+9evWif//+nDx5kv/+97/ExMQUeiHDpUuXuOWWW5gzZw5xcXFs2LCBWrVqWdPff/992rdvz3vvvUdkZCRDhgyhUaNGfPHFF8TFxfH888/blWeZi+lqeP3KlSt88MEHKKW48847AcjMzOSGG27gySef5PDhw/Ts2ZPBgwfTtGlTkpOTmTZtmlNDw5E///yTTp06sXnzZiZOnMjSpUsJDAxk3Lhx+Pr6smDBApflvPHGGwCMGzcuz3oA67DwG2+8wdWrVz3KY2HChAkMHjyYtWvX0qpVK2699VaCgoJ45513aN26tVuDurD4+/uTkJBA8+bNAcOoTEhIsAZPFu8cPXqUdu3aMW3aNI4dO0a/fv2Ii4tj3759TJw4ke7du3PhwgWneS9fvkxcXBwvv/wyzZo1o1+/fmRnZ5OYmEi3bt24ePFikZ5vkSMiJSIAszAWlgyziVtoxj3sIHu/Gb/MTXmvmDIzC5vPXYiOjpZrRefnvpWoSZ/nCp2f+/aa1anRlCV+++23Yq1v2Y+HpenjX9n9Xps+/pUs+/FwsepRUNauXSuAREVFuZQ5d+6c+Pn5SaVKlSQ5OTlX+m+//SYHDx60i4uOjhZAtm3bZhc/duxYAaRVq1Zy/Phxa/yFCxekX79+AsgNN9xgl+fChQsCSHBwcK66K1euLICcOnVKREROnDgh7dq1E0BGjhwpGRkZdvLJyckSFBQkgMydO9cu7csvv5SAgABRSsl3331njT9+/Lj4+flJ+fLl5fz587l0+OCDDwSQHj16WOO++OILASQ2NlbS09Pt5LOysmTdunV2uu3atUsAad68uTVu69atEhkZKT4+PvL666/nqjc+Pl4AWbBgQa60n3/+WQCpWbOmXL16NVe6MxITE8V8F0qNGjXkvvvukwULFsjPP/8sWVlZLvNZzj80NFS2bt1qjc/OzpYnn3xSAImIiJCzZ8/a5XN1j7iKtzB48GAB5KOPPrKLf+ihhwSQF154waWujveLBcu917t3b7trfPLkSWnbtq0Acs8999jlWbFihbW9YmNj5fTp09a0lJQUue666wSQl19+2aU+hSE/zzpgu7iwaUrEnEKlVGfgQWC5iHzgQRaLLwJ3O0BbzPGKRZDPK0zs04TJn/zC5as5Q8gBvj5M7NPEi1ppNGWHupO/uOZ1pF/N4sEPdvLgBzuLtNz90/sXaXmecubMGTIzM2nWrJnThSPNmjXzqJxz587xzjvvADBnzhyqVq1qTatQoQJvvfUWDRs25JtvvuHnn3+mVatW+dJz79699OvXj7/++ov//Oc/PPPMM7lk5syZQ3p6Or179841P65fv37cc889vPHGG7z44ot07doVgKpVq9K3b18+//xzPvroI+666y67fJYeRNsVuSdOnACgR48elCtXzk7ex8eH7t27uz2Xzz77jOHDhyMifPLJJwwaNCiXzIQJE1i+fDlvvPFGrtXAs2fPBmDMmDH4+Xn22r/zzjs5d+4cTzzxBEePHmXu3LnMnTsXgLCwMAYPHsx//vMf6tevb5fPMmw7adIk2rdvb41XSjF16lQ++eQTdu/eTWJiIg88kNegYPGTlJTEV199hb+/P2+99RYVK+aYApGRkcydO5f27duTmJjIc889R0REhF1+Pz8/FixYQKVKlaxxlStX5qGHHuLuu+/m22+/LSPKWQoAACAASURBVJHnbcHrw8dKqSBgAXAeY1WwR9nMT8lvdQXMZ1+IUmNMv4bbT506VZii3BLfpibTb72e4MCcvVsbVgnWi0w0Go3XiIqKomrVqmzatInHHnss33PELGzZsoUrV67QuHFjOnXqlCu9Vq1a3HjjjYCxKjo/bNy4kc6dO3PgwAHefPNNpwYhwPr16wFculSxGHyO9VvkHYeQjx8/ztdff02FChXsXPpY5sXNnj2bt99+O19+8d544w1uueUWgoODWbt2rVODEKBXr140b96cbdu22c2/O3/+PEuWLMHf359//vOfHtcLcP/993Po0CEWLVrEXXfdRatWrfD19eXcuXPMnz+fVq1asXbtWqt8WlqatW5nbWrr6zK/17S4sNwTPXv2dLpAql27drRo0YKrV6+ycePGXOlNmjShUaNGueIti3WOHj1axBoXLV43CoFngcbA/4mIp7MwLYP5ub2X5mBJsx34L2g+O0TkLRGJEZGYyMhIt4oWlvg2NfliQlfrcdLxCxw8fema1qnRaDSu8PHxYfHixYSHh/Pss8/SqFEjqlWrxi233MKbb77p8ZypI0eMuZb16tVzKdOgQQM7WU8ZMmQIp0+f5tVXX2XMmDEF1sFS/7lz57h0Kee5O3DgQCpXrsyGDRv466+/rPHvvvsuWVlZDBkyhODgYGt8y5Ytee6557h48SL//Oc/iYyMpFGjRowaNYpPP/2U7Gznji5+//13xo0bZ13Y0qFDB7fnPWHCBCBn/iAYC4LS0tK49dZbqV69utv8zggJCeGOO+5g/vz57Ny5k1OnTvHmm28SGRnJxYsXueOOO6xzDo8fP052djblypWjWrVqTssr6DUtLgp7X7py0RMSEgLg0dxRb1ISho9vAbKBBKWUozdVyzr4sUqpAcA+EbkH2G/Gu/NzUNv83G8TV9B8XqVuRDA9mkSy7vdTiMC7Ww/wn5s8G6LRaDSuKeoh2OU/HeHRT3aRfjXH932Qvy/P3dqyTPXw33jjjRw4cIAVK1awfv16Nm7cyKeffsry5cuZOnUqa9asyXMY2ZjaZPQe5SWTX+68807eeecdnn32WeLi4mjSxPmUG090cEZAQAAjRozgtddeIzEx0brKODExEXDeSzZp0iRGjhzJ8uXL2bBhAxs2bCAxMZHExEQ6duzImjVrCAoKsstTp04dateuzfr167n//vtZsWKF051cLIwcOZLJkyfz/vvvM2vWLMLDw5kzZw4A//qXpwNx7gkPD2fMmDE0a9aMbt26ceTIEbZv306nTp3s2tNVmxb0mrrClUFdUAp7X/r4lIS+toJTUrT3Abo7CZZJJvXN4xjz+Cfzs7k5/OyMdg6yhcnndRI61bV+/2DbIdIz9IYrGk1JI75NTZ67tSU1w4JQQM2woDJnEFqoUKECw4cPZ+7cuezatYuDBw8yaNAgjh8/7tGcKcsKYNueNkeSk5MBqFkzf+33/PPP8+STT3LkyBG6devGrl27CqSDJT4sLIzy5cvbpVkMv0WLFiEi7Nixg927d1OvXj26devmtLyaNWsybtw43nvvPQ4dOsS2bdto3LgxW7Zs4aWXXsolHxQUxFdffUWfPn1Yt24dvXv3duumJzg4mLvuuov09HQWLFjAmjVrSEpKokWLFi51KihdunSxGrGWaVTVq1fHx8eH9PR0l+5X8ntNAwICAFz2QB84cCBfeufFtbwvSwNeNwpFpK6IKGcBw0UNwEQzrrWZ5xDwIxAADHUsUynVHaiFsWvJZpu6CpSvJNC9cSR1KhkPpdT0q3z2c8nsetdo/u7Et6nJxsm9SJ7en42Te5VJg9AZtWrVsvaY/fzzz3nKd+zYkcDAQPbu3cvWrVtzpR89epTVq1cDxgKN/PLUU08xffp0Tp48Sc+ePdmxY0cuGcsCj0WLFjktY8GCBS7rb9u2Lddffz379+9n/fr11l7ChIQEj3seY2JirD14rtosKCiIzz77jPj4eDZv3kyvXr04ffq0yzLHjRuHj48Pc+fOtS4w8dQNjS159eidPHnSOhRqMaSCg4OJiTH6bpy1qYhY28nTa2oxvPbs2ZMr7eDBg/z6669O81mMSU/9P1qw3BPr1q3j0KFDudJ37NjBrl278Pf3JzY2Nl9llwa8bhQWgufMz+eVUla35EqpKoBlQsV0yb0rSUHzeRUfH8UdHXNGvRM3HSjybniNRqPJi71795KYmOi052bFCmPPAU92MAkLC2P06NGAMbRpu2gvLS2Ne++9l8uXL3PDDTfke+WxhUmTJvHaa69x5swZ4uLi2LzZ/r/+2LFjCQoKYuXKlcyfP98u7euvv2bevHkopfi///s/p+VbegvnzZvHe++9Z+eb0JaVK1eyevVqsrLsR3iuXr3KypUrAfdtFhAQwEcffcTtt9/Ojz/+SM+ePa0rmh2pX78+N910E3/88QeffPIJISEhjBw50mXZrrjhhht45ZVXnC6KOXr0KAkJCYgIjRs3pk2bHLe+lrZ6/vnn7QxxEeG///0vv/zyCxEREU733nZGXFwcAC+//LKdLidPnuTOO+/kyhXn/nwtxmRSUpJH9Vho1qwZffv2JSMjg3vvvdfuPk9JSWHs2LGAYfw7rjwuE7jyVVMSAi78FNqkv2GmpwMrgE+AVDNuGeBblPmchWvpp9CRs2lXpMnjX1r9n9U1fRaWFh9oGk1xU9x+Cks7nvgp/P777wWQwMBA6dixo9x+++0yZMgQadq0qTX+m2++scvjytfchQsXpGPHjgJIxYoVZdCgQTJkyBCpUqWKANKwYUM5dOhQrjx46KfQwttvvy0+Pj5SoUIFWbt2rV3a0qVLxc/PTwBp3bq1jBgxQmJjY0UpJYA899xzLtvi5MmT4u/vb/VPZ+ub0Jann35aAAkPD5e4uDgZMWKEDBo0SKpWrSqA1K5dW44ePWqVd+anUMTwaTh69GgBpEmTJnL4sPNn/9dff23Vafz48S71d0eDBg0EEF9fX2nVqpUMHjxYhg0bJrGxsdZzjoyMlB07duTKO378eGveXr16yfDhw633R3BwcK77Q8T1PXLp0iVp1qyZAFK5cmW5+eab5YYbbpDQ0FCJjo6Wvn37OvVTmJycbPUz2bNnTxk9erTcfffdsmrVKquMq/vlyJEj0rhxY+s5DhkyROLj4yUkJEQAad++fS4flRY/hf3793fanq6uaVFRVH4KvW74uQt5GYWmzAhgI4ZLmzRgBzAO8Mmj7ALlcwzFaRSKiAybuymXM+vS5BxXoylOtFGYPzwxCs+cOSMzZ86UgQMHSv369SU4OFgqVqwozZo1k3Hjxsnvv/+eK487B8Tp6ekyc+ZMadu2rQQHB0u5cuWkWbNm8thjj+VycCxSMKNQJMf4CwoKkpUrV9ql/fjjj3L77bdLtWrVxM/PTypXriwDBgxwarw4MmjQIKsBtnDhQqcySUlJ8vjjj0v37t2lVq1aEhgYKBEREdK2bVt59tln7Rwdi7g3ILKzs2XcuHECSP369Z06EL98+bIEBgYKUODfwJ49e+TVV1+V+Ph4adasmYSFhVmdlnfu3FmefvrpXHrb8vHHH0tcXJyEhYWJv7+/1K5dW0aPHi179+51Ku/uHjlx4oTcfffdUq1aNfH395d69erJI488IhcvXnTpvFpE5KuvvpKuXbtKSEiI1ci3dWbt7n45d+6cPPnkk9K8eXMJCgqS8uXLS5s2bWTGjBm5HJCLlB2jUBnpmoISExMjrvZkLCpS0lM4cP4A0VWjaffMN5y6kLu7vGZYEBsne7anpUbzdyEpKcljZ8oaTVlhyZIljBw5kl69el3TLeU0JYf8POuUUjtEJMZZWklwSaNxw76z+7jt89sIDwxn5eCVpDgxCEHvh6zRaDQaY+/lZ599FsDlXEiNxhXaKCzhNAhrQJ2Kdfgz9U9WHVhFjbDyHHFiANYIc+VhR6PRaDRlnblz57JlyxY2b97M3r176dmzJ/37e2crRE3ppTSvPi77vNAI9VQYd+z7AYBF3zzEhsu3sC1wrJ2Yv6/S+yFrNBrN35hvvvmGxMRETp8+zT/+8Q8+/PBDb6ukKYXonsKSTNpJAPqnXeKVSmEkBQawo1wgMZdTCSnnx/nLhv+lysEBDGpdw5uaajQajcaLfPzxx95WQVMG0D2FpYByIgw7b/hKWhxSEYDvJ/WifIAvAMfPX2HTn66dmWo0Go1Go9HkhTYKSwnDzl+gR9olbj9/AYDQIH+GRteypr+zIdlbqmk0Go1GoykDaKOwlBCRnc1rJ1PodDln9fGo2HrW79/uOUlySpo3VNNoNBqNRlMG0EZhKaZeRDBxTatYjxdu1L2FGo1Go9FoCoY2CksywVVyRe0J8OfB6jVZ9Kux2fhdXXJ6Cz/acZjU9KvFpp5Go9FoNJqygzYKSzIT/4CpqfDkGQivC8AJX1++LefLu0nvkpmdSecGlWlS1Vh8cikji1ZPfU3s9DUs/+mIFxXXaDQajUZT2tBGYWnAxxc6jgOga/pl6mbBsbRjfHvwW5RStK4Taid+5Fw6j36ySxuGGo1Go9FoPEYbhaWFNv+AcmH4ACPPngEg8ddERITv96bkEk+/msULq34vZiU1Go1Go9GUVrRRWFoICIaYuwC4+WIaYaLYlbKLHSd2cCz1stMsej9kjUaj0Wg0nqKNwtJEh3sBCBJh+LlzACxcdjvJ5Ubk2voO9H7IGo1Go9FoPEcbhaWJitWsX28/f4HA7Gw2BZXjlK8PkSrVTtRHofdD1mg0eVK3bl2UUnmGdevWeU1Hiw6O9OjRo0h0W7hwIUopRo0aVahyHJk6dapHbVtU9Y4aNQqlFAsXLiyS8gqL5foopRg+fLhb2ccee8wqW7du3eJRkJz7f//+/cVWpyuu1X2YH/Tex6WUStnZPH/qNM2vZBCZlQ1AlYqBnLxgOLfOFmhRM8SbKmo0mlJEnz59qFatmst0d2lllf3791OvXj2ioqIKZTQ0aNCALl26uEx3l1ZWWL58OefOnSMsLCxXWnZ2NosXLy7yOhcuXMjo0aNJSEgoMYZySUcbhaWYuEv2cwZ/eOwG/rloO6t/OwHAvO+SeX7I9d5QTaPRlDImT55Mjx49vK1Gvli0aBGXLl2iTp06hSrnlltuoWPHjoSGhuYtXAC6dOnytzZKYmJi2L59O++//z733XdfrvRvvvmGQ4cO0a5dO7Zt2+YFDTUW9PBxGSAb+NPfsO/HdKtvjV/20xFOXnC+CEWj0WhKO3Xq1KFp06aUL1++UOWEhobStGlTqlevXkSaaWy544478PX1dWkYW+K9OWyqMdBGYSnnvI9iUM3qjKxRjYsZF4mJCqdNHaN7PiMrm0WbDnhZQ41GU5YQEfr164dSijFjxuRKz87OJi4uDqUU48ePt8bv37/fOl8sMzOT6dOn06xZM8qVK0fVqlVJSEjg4MGD+dIlrzmFq1at4tZbb6VGjRoEBARQrVo1YmNjef7550lPzxlpcTaXa9SoUdSrZ+wYdeDAAbs5gNd6zlte89wKOpdy69at3H777dSqVYuAgAAiIyO5+eab2bBhg1N527mc8+fPp0OHDoSEhKCU4py52NETatSoQe/evdm6dStJSUl2aampqSxbtozrrruO9u3buy0nLS2NGTNm0K5dO0JCQggKCqJ58+ZMnTqVixcv2snWrVuX0aNHA5CYmOjRHM7Vq1cTFxdHaGgo5cuXp2PHjnz22Wcu9UlJSWHSpEk0bdqUoKAgQkJC6NixI2+88QaZmZlO84gI8+fPp23btgQFBREREUF8fDy//PKL23MvLrRRWNpw2PouJFuIzMrioo8PH+/92HhQd83pLVy85QBpV5zfnBqNpoh5oRFMDc0dXmjkbc2KDKUUixcvpmbNmsybN4/33nvPLn3atGmsWbOGNm3aMGvWLKdlDBs2jClTplCnTh3i4+MJCAhg0aJFtGvXjt9/L7x/VRFh7Nix9O3bl2XLllGzZk0GDx5Mq1atOHToEJMnT+bEiRNuy+jSpQuDBw8GIDg4mISEBGsYMmRIoXUsbmbNmkWnTp348MMPqVatGoMGDaJhw4Z88cUXdO/enXnz5rnMO2HCBMaMGUNgYCADBgwgOjra6cIfd1gMNMfewvfff5/Lly9b011x+PBh2rdvz6RJkzhw4ACdOnWid+/enD17lqeeeorY2FjOnj1rlR8yZAixsbGAMafT9vo5m8M5f/58+vTpw8WLF7npppto2rQpW7duJT4+no8//jiX/L59+2jbti0zZswgNTWVgQMH0q1bN3bt2sW4cePo168fV65cyZVv3Lhx3HPPPfzyyy907tyZG2+8kV27dtGhQwd++OGHPNvxmiMiOhQiREdHi1fIyhJ5NVpkSoisn15FWixsIb0+7CUZmRmSmZUt3WaskahJn1tD5+e+lWU/HvaOrhqNl/jtt9+Kt8IpIa5DCSUqKkoAWbt2bb7yff/99+Lr6ysVK1aUvXv3iojImjVrxMfHRypWrCh//PGHnXxycrIAAkiVKlXk119/taZduXJFRo4cKYC0a9cuV12WfI50797dqe4vvviiAFK1alXZvHmzXVp2drasWbNGzp07Z41bsGCBAJKQkOBU56ioKE+aJBdTpkxxWm5eWK5JcnKy03RX552QkCCALFiwwC7+q6++EkBq1KghW7ZssUvbsGGDhISEiL+/v/z+++92aZZ2Dw0Nla1bt+brHGz1/Oijj+Ty5ctSqVIlqVGjhmRmZlplOnToIL6+vnLs2DHZtm2b0/bOzs6WTp06CSDjx4+XtLQ0a9qlS5es945jO7u6rrZY2jogIEC++uoru7Snn35aAGnYsGGufO3atRNAhg4dKunp6db4gwcPSuPGjQWQyZMn2+X57LPPBJCQkBC79szMzJQJEyZY2zu/94tI/p51wHZxYdPohSalFR8fiH0APhtP1/TLNMzMZt+lk3yZ/CWDGg6iXVQ4B05fsopbtr4DiG9T01taazQli6nXZmFBsdQ1NTVvmXzQs2dPl2mhoaG5hgu7dOnCtGnTeOyxx7jtttv49NNPGTFiBNnZ2cybN4+GDRu6LO+JJ57guuuusx4HBATw+uuvs2LFCrZt28bGjRutvTz5JTMzk2effRYweqU6duxol66Ucnuu14LExEQSExNdpi9btoz4+PhrVv+UKVMAePvtt+nQoYNdWmxsLE888QQTJ07kzTffdNq7+8gjj+Q5tJsXgYGBDB8+nNmzZ/P111/Tr18/9uzZw9atWxkwYADVqlXj8OHDTvOuXLmSzZs307FjR1555RV8fHIGOYOCgpg7dy5ff/01S5Ys4aWXXiI8PDzf+k2YMIG+ffvaxT3yyCPMnDmTffv2cfDgQeuCpu+//55t27ZRsWJF5s6dS7ly5ax5ateuzcsvv8xNN93E7NmzmTJlijX95ZdfBuDf//63XXv6+vrywgsv8L///Y+jR4/mW/eiRBuFpZnrb4O1z6AuHGPU2bM8HlmZBbsXMLDBQDb9eTqXuGXrO20UajQaR9y5pHG1kOPRRx/lu+++Y9WqVVx//fWkpqZy7733MmzYMLd1jRw5MldcaGgoAwYMYMmSJaxbt67ARuH27dtJSUmhVq1auV7y3iIvlzSFXT3tjpSUFLZt20ZISAi9e/d2KtO9e3cANm/e7DT91ltvLRJdRo0axezZs1m4cCH9+vVjwYIF1nh3fPnllwAMHjzYziC0EBwcTExMDF9++SXbtm1zeZ7uGDBgQK64gIAA6tevz08//cTRo0et12n9+vUADBw4kEqVKuXK169fP6pXr86xY8fYsWMHsbGxZGZmsnHjRsD5/R8YGMjQoUN55ZVX8q17UaKNwtKMXyB0GgdfP85NF9N4vXJl/kz9k3WH1umt7zQaTb4oiEsay/zC+vXrk5qaynXXXWftDXFFWFiYU191gHUBh6seI084cMBYXNekSclx3u9NlzTJycmICOfPn8fPz/0r/9SpU07jo6KiikSXmJgYWrZsyaeffsqpU6dYvHgxlStXZuDAgW7z/fXXXwBMnDiRiRMnupV1dQ554cowDwkx/P1evpzzTj1y5AiAdSGSM+rXr8+xY8essikpKVy5cgUfHx+X7VmcTrtdoY3C0k70KPj6CfwRRp09wzuhIWR88A+Sy13ilITS7socO3G99Z1GY0MRD8G6HSIu6rpKCMuXL7eu/Dx8+DBHjhyhQYMGhSozv4sY/m5kZ2d7LJuVlQUYPbF5DVFHREQ4jQ8KKrr3xqhRo3jooYe46667OHbsGPfffz8BAQFu81jOoXv37nkaTgU1YJ31QLrCmJbn/j61yJQ2tFFY2gmsiDE3FYaev8jQ8xex/Lz01ncaTTETXAXSTjqPL4Ps3r2bBx54gICAAIYOHcqSJUsYNmwYmzZtcvmiP3fuHKmpqU4dRVtcsNSoUaPAOlmMgqJYxewtLG3n6GbFgqU31BNq164NgL+/f4lwoD1y5EgmTZrE559/Dnjmm9ByDkOHDmXcuHHXUj2PqFWrFpDTg+mM5ORkAGrWNKZrRUREEBgYyJUrVzh48KDTP04lYas97ZKmDBFgBluqhgRav2cL1K6kewo1mmvGxD+MHkHHMPEPb2tW5KSlpXHbbbeRnp7O888/z6JFi+jZsyc7duzIc4hvyZIlueJSU1OthkJhdlaJjo4mIiKCw4cPs2rVqgKXAznGmSufc9cKiyGxZ8+eXGm7d+/m0KFD+SqrZcuWpKSkeHX/agtVqlRh6NChVK5cmS5dutCmTZs88/Tr1w+Ajz76KF91XavrZ5mDuWLFCjs3OBZWrVrFsWPHqFChAtHR0QD4+fnRuXNnwPn9n5GR4dT1TXGjjcIySKqPD3PCQtgdEMDW/9zAkOha1rQ56/70omYajaasMG7cOJKSkrj55pt58MEH8fHxYcmSJVSpUoVXX32V5cuXu8w7bdo0OyfGV69e5YEHHiA1NZXo6OhC7QXs7+/Po48+Chi+8Rx9v4kI69atIzU17+H8yMhIAgICOHHihNOX/7UiLi4OgBkzZnD+/Hlr/KFDhxg1alS+hyaffvppwOil+/rrr3OlZ2Rk8Nlnn7lcaFLULF26lJSUFL7//nuP5OPj44mOjmb9+vXcd999nDlzJpfMX3/9xezZs+3iLMa1o8PswtK1a1fatWvHhQsXGDdunJ0/wiNHjvDggw8CMH78eLuVyffffz8AL774Itu3b7fGZ2dnM2nSJOv8Q2+ih4/LIImhFZkXFkpSwCVeBe7rXp///XgYEfgm6SS/H79Ak2oVva2mRqMpQUyfPt3t8OKIESOsqzoXLVpEYmIitWvXtq4gBahevTqLFy+mb9++3HXXXbRp0ybXHK86deoQHR1N69at6dWrF6GhoWzevJmDBw8SERHBokWLCn0u//73v0lKSuLtt9+mY8eOxMTE0LBhQ86cOcNvv/3GoUOHSE5OznOvY39/f/r378+yZcto06YNsbGx1l0opk+f7rE+GzZscDtMWqdOHaZNm2Y9HjduHG+99Rbbtm2jSZMmdOrUiXPnzvHDDz/Qvn17OnfuzKZNmzyuf9CgQcyaNYtHHnmEPn360LhxY5o0aUJAQACHDh3i999/JzU1lTlz5tCpUyePyy0ufHx8WL58OTfddBNvvvkmS5cupVWrVtSqVYuUlBQOHjzI3r17qVq1qt3wcseOHalWrRo//vgjMTExNG/eHH9/f2JjY/N0lp0XS5cupWfPnrz33nusX7+eLl26cOnSJdauXUtaWhpxcXFMnTrVLk98fDxjxozhrbfeolOnTnTv3p0qVarwww8/cOTIEcaOHcucOXOcV1hcuHJgqEMJd15ti4OT3FNPhUn0O9dJi4UtZO8Zw6nsmEXbrI6sH3z/Jy8rrNEUD8XuvLoUYnHem1d46aWXREQkKSlJgoODxc/PTzZs2OC0zMmTJwsgHTt2lIyMDBGxdwR99epVefrpp6Vx48YSGBgokZGRMnLkSJfOmi06OOLKibOFFStWSP/+/SUyMlL8/f2latWq0qVLF5kxY4adw2F3To5TUlLk7rvvllq1aomfn1++nFlbnFfnFVq1apUr78GDB+Uf//iHRERESEBAgDRq1EimTp0qV65cybfzags7d+6Uu+++Wxo0aCDlypWTChUqSKNGjeTmm2+WefPmyenTp+3kXbW7p9g6r/YEV86rLaSnp8vrr78u3bp1k/DwcPH395dq1apJdHS0PPzww7Jx48ZceXbu3Cn9+/eXSpUqiY+PT67rXFBH4SIip06dkokTJ1rv4woVKkj79u3l9ddft973jmRnZ8tbb70lrVu3lsDAQAkPD5cBAwbITz/95JGzbVcUlfNqJaV0hUxJISYmRmy7gb3CC41yTW5/pnI474dUpH/9/kzvOp2dh84RP9vwkeTro1j3cA9qVyrcJvIaTUknKSmJZs2aeVsNDcYk+nr16hEVFVUiJtRrNGWJ/DzrlFI7RCTGWZqeU1gWsJ3c3nIoAKNTz+MHrExeyaELh2hdO4zODSoDkJUtdJ2xltjpa1j+k/fnMGg0Go1Go/E+2igsa3R9CIAamVncdOEiWZLFwt0LAWhVy95hrGXrO20YajQajUaj0UZhWaNKM2hmeIe/O/U8Cli2bxkp6Sl89nNu48+y9Z1Go9FoNJq/N3r1cVmk68OQtIL6VzMZezaVVn1mUblcZY6e01vfaTQa71C3bt1Su8uDRvN3QRuFZZEarcE3ALIyGHsuFT64B7iH5HLore80Go1Go9E4RQ8fl1WyMnJFpfr45Nr6DmB8r8LtU6rRaDQajab0o43CvwFXgUciK9O7dg1O+/hQI6ycXfrpi7kNSI1Go9FoNH8vtFH4N8AfuOTjwyUfHxaFVmTT5DhmDm1lTZ+/IZm0K8W7t6dGo9FoNJqShTYK/ybcd9YYNn4vpCJnL59lUOsa1Ao35hKevXSVd7cc8KZ6kI15+gAAIABJREFUGo1Go9FovIw2Cv8mtMjIoMuldNJ9fFj822L8fX34V4+G1vR53/9FekaWFzXUaDQajUbjTbRRWFYJrpIr6t5zRm/h0j1LSb2SyuDomlQPNeYXplzMoNmTK/UuJxqNRqPR/E3RRmFZxXbru4TPAWh9JYNO6ZdJu5rGkqQlBPr50snc+s6C3uVEo9FoNJq/J9oo/DtQrytEdQGMuYW+wPmM8wBs+fN0LnG9y4lGo9FoNH8/SoxRqJSaoJT6UCmVpJQ6rZS6qpQ6pZT6Rik1UimlnORZqJQSN2FPHnWOUEp9r5RKVUpdVEptV0qNU0qVmHYpMnpMBqDtlSusPHycyY1uB+BYqt7lRKPRaDQaTQkyCoFJQDyQDmwC/gfsA3oBi4Flboy1jUCik7DMVWVKqdnAEiAG+B5YDTQGXgc+Vkr5Fv6UShD1uoKPPwDVrmbAK61gaijJ5UawLXBsLnG9y4lG8/egbt26KKVYt26dt1Vxyf79+1FKUbdu3VxpFv33799fqDqmTp2KUoqpU6cWqhxHRo0a5VG5lvpHjRpVpPWXBCxtoJSiU6dObmXnzZtnlXXSF3TN6NGjR4n5Haxbtw6lFD169Cj2ukuSUXg7EC4ibUVkoIjcLiKdgJbACWAQkOAi79siMspJeNSZsFJqMPAv4DhwvYgMEJFbgEZAEnALML6Iz8/7ZF+1fhVgbfkgPqxYwekuJw/e0KgYFdNoNJqSiTdf0GWRLVu2sGeP60G8hQsXFnmd+hp6TokxCkVkg4ikOYn/FZhtHt5YRNVZjMVJIvKHTV0nAEu32eQyOYxs8nuAP/dXjWRmpTDO+PhQI9R+l5NL2j2NRqMpBXz77bckJSVRs2bNQpUzfvx4kpKSGD++7PUHlBRiYmIA14bf3r172bRpE+3atStGrTS2lBajx7LdhvMJcPlAKVULiAYygI8c00VkPXAEqAZ0LGx9JZWmGVfpavotXBgawqZH43hywHXW9Nlr93H5qjYMNRpNyaZBgwY0bdoUf3//QpUTERFB06ZNiYiIKCLNNI7Ex8cTHh7O4sWLycrK/X6xGItlcQi9tFDijUKlVD3gPvNwhQuxnkqpF5VSbymlnlZK9XHTy9fG/PxVRFytptjmIFsmGWfd5aQCKekpjOhQhyoVAwE4eeEKS7ce9KZ6Go3Gi1jmgS1cuJBff/2VwYMHExkZSYUKFejSpQtr1661yn7++ed0796d0NBQQkJCuPnmm/njjz9ylWk7jJeWlsbkyZOpX78+gYGB1K5dmwkTJnD6dG6PCO5wN6dQRPjwww/p168fVapUISAggJo1axIXF8frr79uJ+tsTmGPHj3o2bMnAOvXr7eb61bcQ5GHDh3igQceoEmTJgQFBRESEkJsbCwLFy5ERHLJ5zXX0tUcOtv4HTt2cPPNN1O5cmWCgoJo1aoV8+fPL/A5BAYGcvvtt3P06FFWr15tl5adnc2iRYsIDw9n0KBBbsu5evUqc+fOpWvXroSHh1OuXDkaNWrE//3f/3Hq1Klc55Pfa5jf805LS+OZZ56hVatWVKhQgeDgYFq3bs2zzz7LpUuXXOZbvnw5sbGxBAcHEx4ezo033sj69evdnvu1psQZhUqp0eaq4iVKqfXAXqAW8JyIuFo4cifwb+CfwOPASmCXUqqlE9l65qe7fd0s1lA9NzKlnuYZGfRMu8RlHx/e2f0O5fx9+VePBtb0Oev/1L2FGs3fnO3bt9O+fXv27t1LXFwcTZo0YePGjfTp04fvv/+e1157jUGDBiEi9OnTh0qVKrFixQq6devm0sDLyMiwGmYtWrRg4MCBXL58mddff51OnTpx4sSJQuudkZFBfHw8w4YNY/Xq1TRu3JghQ4bQtGlTdu/ezYQJE/Iso2/fvvTp0weAqlWrkpCQYA19+/YttI6esnbtWlq2bMmrr75KdnY2ffv2pUOHDvzyyy+MHj2ahARX0+0LzsqVK+nUqRPJycn07t2btm3b8ssvv3DPPfcwa9asApc7evRoABYsWGAXv3r1ao4cOcKIESMIDAx0mf/8+fP06tWLsWPHsmvXLtq2bUv//v3JzMzkpZdeIiYmxs4Qzu81zO95p6Sk0KlTJx5//HEOHTrEjTfeSJ8+fThw4ACPPfYYnTt35syZM7nyzZgxg1tuuYVNmzbRunVr+vXrx/Hjx+nVqxfLly/3qC2vCSJSogLwNsY6CEu4CvwHKOdE9kFgAnAdEAxUB/oDO828J4CaDnn+Y6a960aHZ0yZN/PSNzo6WkoNMxqKTAmxC0nPVJYWC1tI9OJoOZF2QtIzMqXDM99I1KTPJWrS5zLvuz+9rbVGU2B+++03b6tQ4omKihJA1q5daxefkJBgfQ7PmjXLLu2RRx4RQBo3biwhISHy3XffWdPS09Ola9euAsi0adPs8q1du9ZaZuPGjeXw4cPWtPPnz0tcXJwAMnToULt8ycnJAkhUVJRL/ZOTk+3i77//fms9SUlJdmmZmZny6aef2sVNmTJFAJkyZYpTnbt3756rbk+wtKNjuY5Y6k9ISLCLP3r0qISHh4uvr68sXLhQsrOzrWkHDx6U1q1bCyALFiywy+eqXSx0797d6XW3xAMyf/58u7TFixcLICEhIZKWlub2fGyxtMELL7wgIiLNmzeXwMBA+X/27jw+yurs//jnyh6ysiTsoCJq3VDBPgJ1QbvYPmrdUGvtr9Za92prS93aulXFYlttRaytS7XqU1fqrlUUFaWC4gKiorggEBISEpKQdeb6/XFPQjKZhEwWsn3fr9e8JnOfc+45IQNcOfd9XaekpKSxz4knnuiAL1myxIuKihrnEK2h3/HHH99sfH19fePnMvpn1Z6fYUe/75kzZzrgBx54oG/atKnxeElJiU+bNs0BP+mkk5qNeeuttzwxMdGTkpL8sccea9Y2Z86cxnnE85mL5986YKm3Fv+01tDTDyA9EuzNIbj/721gVDvHpgCvR/5gb45quyxy/J42xrcZFAJnAEuBpePGjWv3D6JXWf9uY2D487k7+Z537elz3gj+wt792qeNQeH4i57wqdc+74++9eU2TijS+7TnH8o979qz1ccDHz7Q2O+BDx9os29TMx+b2Wq/yxdd3thv+cblbZ5z+cbljX0vX3R5i/fpCtsKCqdOndpiTElJSeN/XJdcckmL9kceecQBnzFjRrPjTYPCxx9/vMW4VatWeWJioickJPgXX3zReDzeoHDDhg2enJzsCQkJvnz58hZjYunuoLC9j+igsCHQ+dWvfhXz/EuWLHHA99tvv2bHOxsUHnfccTHHfeUrX3HAFy5c2K7v371lUNgQ+Nxyyy3u7r5p0yZPS0vzPfcMPt+tBYUrVqxo/Bxs2bKlxfuEQiHfe++9HfB333238Xg8QWE83/dnn33mZuYJCQktfvFomG9CQkKLz/Npp50W82fdYPLkyT0WFPa6y8cN3L3K3d9391kE2cKTCGoItmdsLXBd5OV3oprLI8+ZbZyioa08VqO73+buU9x9Sl5eXnum1PuM2Av2OAaAczaVcb4N5ex9gsTr9OREmlaHWldWra3vRAaoWJfYBg8ezNChQ1ttnzgxKGm1bt26mOfMzc3liCOOaHF855135oADDiAcDvPyyy93eM4LFiygrq6OqVOnsscee3T4PF1p0qRJzS5dRj8mTZoUc9xTTz0FwMyZM2O2T548mczMTN5++22qqzudi9ko1s8HYLfddgNa/9m2xw9+8AOSkpIaE0vuv/9+qqurt5lg8vTTTzfOLT29ZS3dhIQEvva1YPeu119/vUNzi+f7fuWVV3B3DjjggMb2pnbffXe++tWvtvg8N9w3eMopp8R8r9aObw9JPfbO8bkTuAE40syS3b1uWwOAhkJI0XUKPos8j29j7Niovv3TIZfC+/9m57o6dl69DNa9A+On8afnVxF923LD1ndH79u5sg8ivc17P3yvXf1m7jKTmbvE/o852gNHPtCufnsM3aPd73/FtCu4YtoV7erblcaMGRPzeGZmJsXFxTHbMzOD36tbC1JiFaFu2rZo0SK+/PLL+Ccb8fnnwS3jsf6j7ilHH310mwWsr7jiCt55550Wx1evXg3QrjItxcXFnS7N02DcuHExj2dnZwOt/2zbY/jw4Rx++OE88cQTvP/++9x5550kJSVtMxhq+LOYO3cuc+fObbNvdMJJe8Xzfa9dGyyU7Lhj6+kHEyZMYPHixY19gcbPdmvj2vr70d36SlBYSlCWJgkYQnCv4LYMjTxXRB1fFnnew8zSPXYG8v5RffunvF0gMQXqIx/yO7/NFjP+nWB4ahb718xr1l1b34kMPAkJbV9Q2lZ7R23P3Sx6s4bSLSeeeCJpaWlt9m0rQSNaOBxus727fq4NfvSjH/HEE09w0UUXsWTJEo466iiGDx/e5piGP4vJkyez5557ttm3oyvE8XzfwZXYtj+rDX36ir4SFB5EMNdSYGM7x5wQeV7S9KC7rzGzt4D9gJnA3U3bzexggmznAoL7Evu3+q2/9fw3LZVf5Q9j/6pqbihqmTU4Iqftf5BERNqjrS3pGtpGjRrV4fOPHx9cCPrwww87fI7eYuzYsXz88cf85je/iSvQSUlJAaCiInpdJNCwmtpTjjzySIYNG8YTTzwBtK824dixwUW8GTNmMGfOnO6cXrs0rJI3rGDG8umnnwI0W8EdPXo0q1ev5rPPPmPChAktxnR2y8bO6BX3FJrZgWb2fTNr8WuOmU0HGgoE3e7uocjxfczsiOg9is0sycwuBM6PHPpTjLdsuN/wejPbucnYfOCWyMvZ7t72r1L9zPi6eiosgWczM1iZ0rIQ7O4js3tgViLS35SWljbeK9fU6tWrWbx4MWbGQQcd1OHzH3rooSQnJ/Paa6+xcuXKzky1Mbiqr6/fRs/u8e1vfxuABx9ssddCmxqCkFhbyi1fvpw1a9Z0fnKdkJyczGmnncbQoUPZeeedW72Xr6mGP4v58+fH9fPorp/hgQceiJmxePFiPvrooxbtK1eu5L///S8JCQnNPs8HH3wwAPfee2/M87Z2fHvoFUEhMAH4J1BgZi9EahQ+ZmYrgFeBnYAngd80GbMDQTHrQjN73cweNLNnCOoPNhQTusjdn41+M3d/CJhHsGvJe2b2uJk9AqwiyHieTzuTWvqTEaEQJ5UHuTV/HpzL6NzmN/Iu+mQjheVddyOziAxcv/jFL1i/fn3j64qKCs4++2xCoRDHHHNMq/d2tUd+fj5nnXUW4XCY4447rsV/2KFQiMcfb20vhOYagquPP/64RwLDWbNmkZ2dzbXXXsvcuXNjzmHx4sUtgsbDDjsMCOrhbd68ufH4mjVrOPXUU3vFZc3rr7+ejRs3smrVqnbtSLPffvtx9NFH8/HHH3PCCSfEvO90/fr13Hjjjc3+nLrrZzh+/HiOO+44wuEwZ555JmVlZY1tpaWlnHnmmYTDYU444YTGVU6Ac889l4SEBO65554Wvxz96U9/YunSpV02x3j1lsvHC4GrgQOBXYBpgBFcwn2YoKZgdDXHd4CbgK8SJI3sS5DC/iVBYspcd3+ztTd093PM7FXgXOBgIJEgOeUOYN5AWyVscHrpZh7KyuTVQencdWwO++bN4Ii/vMr76zdTXRdm7oKPufK7bd/LISLSlqlTpxIKhdhll1049NBDSUlJYeHChRQVFTFhwoRtJhG0x5w5c/jkk0946qmn2GOPPZg6dSpjxoyhsLCQ9957j8LCwnYFRuPHj2ffffdl2bJl7L333kyePJnU1FR23XVXZs2a1el5bsvYsWOZP38+xx9/POeddx7XXHMNe+yxB0OHDmXdunV88sknrFu3jhNPPLFZhvK5557LbbfdxpIlS9h1112ZOnUqpaWlvPHGG3z1q19l2rRpvPbaa90+/672j3/8g6OOOopHH32Up59+mkmTJjF+/Hg2b97MmjVrWLlyJeFwmLPOOoukpCDE6c6f4bx58/jggw946aWX2GmnnRp3SXnxxRfZtGkTkyZNavF5njx5Mr/73e+49NJLOeKII5g2bRrjx4/nvffeY8WKFZx//vn8+c9/7tS8OqpXrBS6+6fu/lt3n+HuY9093d3T3H0Hdz8+RkDYMOZn7j7N3UdH+qe7+0R3P62tgLDJOe5z9+nunu3uGe4+2d3nDtSAEGBwOMwPyyKrhW/9GTOY9a1dG9vve+ML1pS0vm2PiMi2pKSksGDBAs4880zeffddHnvsMVJSUjj33HNZvHgxI0aM6PR7pKam8vjjj3PPPfdw0EEHsXz5ch566CE++OAD9t5777gCz0ceeYQTTjiBkpIS7r//fm6//XaefPLJTs+xvWbMmMGKFSu49NJLyc/PZ/HixcyfP58vvviCiRMnct1113HNNdc0GzN48GAWLVrE97//ferr63nyySf58ssvmTVrFs8880yn94ruKdnZ2bzwwgvcfffdHHTQQXzyySc88sgjvPnmmyQlJXHWWWfx7LPPtkjK6a6f4bBhw3j99de5+uqrGT16NE8//TRPP/00Y8eO5ZprrmHRokUMGTKkxbhLLrmEhx9+mAMOOIBly5bxxBNPkJeXx3/+8x+OOeaYTs+ro6w3LCH3ZVOmTPGeXOrttDkTobKw2aEKM749dhSliYnMPWwuB44+kONvfZ03P9/U2Gd0bjqzvrWrStRIr7Zy5Uq+8pWv9PQ0JOKll15ixowZHHzwwS323BWRjovn3zoze9Pdp8Rq6y2Xj6WnzGqyaX3tFvjzvmRWFHB66Wbmj9iR9KR0zIypOw1pFhSuLa3ikkeC+moKDEVERPq+XnH5WHqJlEFwyEUAnLy5nIe++Jz9c4Lk7EeXtaxe31DQWkRERPo+rRRKc/v+AJ78JckeguoyuH4HABYBRak5KmgtIiLSTykolOYSkyEoBQnAhsRE5g7O4Ss1tXyvvKxF91G5KmgtIu1zyCGH9IpSKCISmy4fS5tWpKbwaFYm8wbnUBFjK58jJ3V81wERERHpPRQUSptmbKli3+pqNiUmcmdOdouC1q+s2kg4rN/8RURE+joFhdImAy4sKQXgnpws5p+/F/+99DDSkoOPzop1m3n83ZZJKCIiItK3KCiUbdqnppbDKrdQlZDALe/cwvDsNE6bvmNj+x+e+4ja+gFb71t6Od3DJiL9WVf+G6egUFrKyG9x6IJNpSS68+iqR1ldtpozD55A7qCgIv4XJVu4/40vtvcsRbYpMTGRUCi07Y4iIn1UOBwmIaFrwjkFhdLSrFVwRVnw+Pn7kJTOjnX1HFNeQdhDvL7udXLSkzlvxs6NQ658fAU7Xvwk02cvYP6ytT04eZGtBg0aREVFRU9PQ0Sk22zZsoX09PRtd2wHBYXStpzRMPUcAM4tLeOBMuf7Ox8HwCkHjCc3PVgtDDs4W3c6UWAovUF2djYlJSVaLRSRfsndKS0tJSMjo0vOp6BQtm36z2DQMIaFwuxWsgb+eysAacmJQSZKFO10Ir1FVlYWGRkZfP7555SWllJfX697DEWkz3N3ampqWL9+PfX19QwePLhLzqvi1bJtadlQX7319fOX89qr1+EG/wmlsj/zWgzRTifSG5gZ+fn5lJeXs3nzZgoLC7VqKCL9QlJSEjk5OeTn53fZPYUKCqV9arfel/VyehrnjshnVF09j1XHLkczKrdr7m8Q6SwzIzs7m+zs7J6eiohIr6bLxxK36VXV7Fxby7rkJO7NziI9ObFZe4LBrG/t2kOzExERkY5QUChxSwR+GSlo/bfcHH591Fjys1Ib28MOwzJTWxktIiIivZGCQumQ6VXVTN9SRUVCAp+F5vPGZV/nhCljGtuveWolIW1/JyIi0mcoKJQO+0VJKQnuPPjRg6wuW82F39i18VLyyvWbeeStL3t4hiIiItJeCgqlfWLscjKxro5jyisJeYjb3r2NETlp/OSgnRrbL3r4XRW0FhER6SOUfSztM2tV89cvzYaXruO80lIGJ6Zy2qTzATjzoJ2449XVVNSEaLh63FDQGuDofUdvz1mLiIhIO2mlUDpm2vmQPZphoTAXFK4n643bAMhITSIpRr0kFbQWERHp3RQUSsekDILDLt/6+tU/UXVlLiuuHcbbPpMlqWe3GKKC1iIiIr2XgkLpuL1mNn5ZkJjIUWNGcvaIfDYnGHlW1qK7ClqLiIj0XgoKpeOaXCYeHgoxqr6eTYmJ/DU3p2VXg19+c5ftOTsRERGJg4JC6RIGXFS8CXPnvuwsPk1OalHQOi1q5xMRERHpPRQUSpfZvbaOYyoqqTfjhiGDeeOyr/Oj6Ts0tl/z1Eqq60I9N0ERERFplYJC6VI/LSklIxzm5UHpLFq7iAsOm0juoGQAvtxUxR2LPu3hGYqIiEgsCgqlc6KKWg8LhzmzNEgy+f2S35ORZlz4ja33Es555kMVtBYREemFFBRK58xaBVeUBY8T/wnA98vKmVZVzU93PJokS+Lkr45jeOT+Qo88GgpaKzAUERHpHczde3oOfdqUKVN86dKlPT2N3sEd7v4ufLowZnOR57B/zbxmx0bnprPo4kO3x+xEREQGPDN7092nxGrTSqF0HTP49vUtDhclBh+zWLULVdBaRESkd1BQKF0r/yvNXv5xcC7fHDua91JSYnZXQWsREZHeQUGhdCvDqTfj2mGDCcdo/+mhO2/3OYmIiEhLCgqlW51Zupn8+nqWp6YyPzODkTlpzdo/3VjZQzMTERGRphQUSrca5M4vSkoBuHFILs9cOIUbT9ynsf2ORZ/ySVFFT01PREREIhQUSteLql347cotTK6qZlNiIre8fQvf3WcUU8YPBqAu5Fz1+PsoC15ERKRnqSRNJ6kkzTY8cSEsvZ0Pk5M5YfQISEjkgSMeoK5qBEfe/CpNP36jc9OZ9a1dOXrf0T03XxERkX5MJWmk5xz6axg0lF3r6jhpcwWHpY0iJzWHPUfncMBOQ5p1VUFrERGRnqOVwk7SSmE7vHUPPHYeISAxqkkFrUVERLYfrRRKz9rn+0DzgDAEVJmpoLWIiEgvoaBQul9C84/ZquRkThk1nD8MyY3ZXQWtRUREtj8FhdIjPkhJ4YGsTFbE2Onk23uO6IEZiYiIDGwKCmW7m1hXxw/KynEzrh42mFG5qc3an1lRQFVtqIdmJyIiMjApKJQecVZpGcPr61mRmsoFRxez7DffYPCgZAC+3FTFvJc+7uEZioiIDCy9Jig0s5+a2QNmttLMis2szsyKzOx5MzvFzKyNsSeb2StmVmZmFWa21MzONbM2v7+OjpMOiCpoPcidi4s3AXDTspsIJ5Rz0eG7Nbb/ecHH7Hjxk0yfvUAlakRERLaDXlOSxsy+BPKB5cBaoBIYD/wPYMC/gWPdPRw1bi5wDlANvADUAYcBWcCjwEx3b3EtsqPjoqkkTQds/BjmTcVDtZwzPI9XB6Vz1ISjuHra7zjkhhf5oqR59nF6ciLXHbuXilqLiIh0Ul8pSXMSMNjd93P3I939JHefCuwFbAC+C/yw6QAzO44gsCsA9nb3I9z9GGAisBI4Bjgv+o06Ok66yLCd4WsXYsClxZsYEgqx+xt3YVfl8vKWY1iSenaz7lV1IeY8+2HPzFVERGSA6DVBobu/6u6VMY6vAOZGXn4jqvmSyPNF7r6qyZgNQENkcXGMy8EdHSdd5Ws/B2BsfT3PrlnH9zdX0HB/gGoXioiIbH99JeipjzxXNxwwszHAZKAWeDB6gLsvJLgMPQI4oLPjpIslpzV+mdbkFobqVm4dVe1CERGR7tXrg0Iz2xE4K/Ly8SZN+0aeV7h7a8tIS6L6dmacdLP7szL55thRrE5OatF24v5jemBGIiIiA0evCwrN7EdmdpeZ3WtmC4GPgDHAde7+aJOuO0aeP2/jdF9E9e3MOOlmH6SmsCkxkauGDmlRu/C59zdQHwq3MlJEREQ6q9cFhcB0goSSk4GDIsd+A1wV1S8z8tziPsQmKiLPWV0wTrrZhSWlDAmFeDM9jVnHlbNw1iGkJgUf0eVrN3P3623F8SIiItIZvS4odPfT3d2AQcAewI3AFcBiMxvVpGvDzWfx1tTp6LitJzA7I1LTcGlRUVFHTyNRtQtzwmF+Gald+IelfyAro4afHrpzY/sfnvuQ9WVKOBEREekOvS4obODuVe7+vrvPIsgWngTc3KRLeeQ5s8XgrRraypsc6+i4pnO7zd2nuPuUvLy8Nk4jbZq1Cq4oCx7nLYXEVI6o3MIBVVWU1ZZxw5IbOOOgCeycH/w4KmtDTL1ugQpai4iIdINeGxRGuTPyfKSZJUe+/izyPL6NcWOj+nZmnHSnYRPhoFkY8JuNm0gNh3l89eMsvWEkz28+qlntwrWlVVzyyHsKDEVERLpQXwkKSwnK0iQBQyLHlkWe9zCz1uqV7B/VtzPjpLtNvwCAcfX1nFW6md1rahgaCjaVia5dqILWIiIiXauvBIUHEQSEpcBGAHdfA7wFpAAzoweY2cEEWcsFwOsNxzs6TraDpJTGL08t28y96zawa11dq91V0FpERKTr9Iqg0MwONLPvm1lqjLbpwO2Rl7dH7Ud8XeT5ejPbucmYfOCWyMvZ0fsld2KcbCdJkUeD8hhFrYdmtvi4iIiISAe1rBLcMyYQ3Dd4s5m9RbBKlxU5vnukz5MEpWkauftDZjaPYGu698zseaAOOAzIBubTPDmlU+Nk+ytNSODKYUP4IikJVoeAxMa2pASorQ+TktQrfrcRERHp03rL/6YLgauBt4FdgGOBbwIZwMPAMe5+RKwdSNz9HOD7BJeEDwa+BXwMnAccF7Wy2Olxsn2luvNBSjIfpaYwbPRrGFtrChVsruGvCz/pyemJiIj0G+be4XJ9AkyZMsWXLl3a09PoP+ZMhMrCZodeT0vljJHDSUlI4aGjHmLBe3D1E+8DkJKYwFMXHNhYtkZERERaZ2ZvuvuUWG29ZaVQJNC0duFO1FdFAAAgAElEQVSs1TBoGFOrazi6vILacC1XvHYF/2/qOCaNyQGgNhTm639cyLTZL6hEjYiISCcoKJTeK2MofOf3APyypJSh9SHeKnyLh28cx783/m+z2oXrSqtVu1BERKQTFBRK77bHsUCwBd5lxSUA/HFILmuTElW7UEREpAv1luxjkdialKL5xpYqvl1RSV4oxJBQ7GpBql0oIiLSMQoKpU+ZXVTc5vJ27qDkNlpFRESkNbp8LH1K0w9shRmWWN6svbouRGF59fadlIiISD+goFD6pOUpKRwzZiS54x7BcBIjl5mr6sJc/u8VPTw7ERGRvkdBofR+GfktDg0P1bPFjPq0ldx4eoh/nPbVxranlxeww8VPMn32AmUji4iItJOCQun9mtYuvLwUJhxKXijMRSWlAFz/xvXsMjrMATsOaTZsbWmVytSIiIi0k4JC6VvM4Mg/A8aRFZUcuKWK8rpyrvzHNO5ff3iz2oWgMjUiIiLtpaBQ+p7csYBjwOUbS8gKhXl5UDr/zsxoUbsQVKZGRESkPRQUSp82PBTikpKgqPXvhwymLMFa9BmRk7a9pyUiItLnqE6h9HlHVGxhWWo5h2ypIifsLdpHZisoFBER2RatFEqfZ8BvizdxUFVQn3B0bnqz9rfWlPL0e+t7YGYiIiJ9h4JC6XfmnZLKq5dN4vjJYxqP/Xr+cooranpwViIiIr2bLh9L35SRD5WFLQ4/kzGIi144i/2GT+GP/3srr67aSMHmaoora/na9QuorgszKjedWd/alaP3Hd0DExcREemdFBRK3zRrVfPX7z8GD/yA/6mqJjcUYumGpTxx6wQW15ZTlJrD/jXzqKoLA1vrFwIKDEVERCJ0+Vj6h92PAmBwOMzlG4Ns5BsH5/JJclLMMjWqXygiItKcgkLpdw7dUsXR5RXUJhiX5A2jrpV+ql8oIiKylYJC6ZcuKt7E6Lp6VqamMG9wTsw+o6KylEVERAYyBYXSL2W6c01RMebOw1mZpKfWtuhz2vQdtv/EREREeikFhdJvTa6p4aqNJTywtoDZR+3HqKidTZ5dsYFQjGLXIiIiA5G56z/FzpgyZYovXbq0p6chAHMmxixTA8CMy+DgX/HOmlKOnfdaYzCYnZZEeXW9ytSIiMiAYGZvuvuUWG0qSSP9R3SZmlf+AC9cBUDopdnclVjNLjvM4LwZO3PTC0HfzdX1gMrUiIiI6PKx9F/TfwbjpgLwVEYqN37yIL959kz+3+v/w2dpJ7Mk9exm3VWmRkREBjIFhdJ/JSTCMbcC8J2KLexfVU1xUiKX5w3FIWb9QpWpERGRgUpBofRvg3cAIBG4tqiYrFCYhYPSeTArM2Z3lakREZGBSkGhDBgjQiF+WxzsdjJnSC6rk5vfUmvAuTMm9MDMREREep6CQhlQDq/cwlHlFVQnJHBx3jCGZ28NDB1YvLqk5yYnIiLSgxQUyoBzSWS3k3QP89TPp3DrKfs1tj32zjrmL1vbg7MTERHpGQoKpf/LyG/2MtOdOwo2cMf6QoaWfM7he47khCljGtt//q+32fHiJ5k+e4ECRBERGTBUvLqTVLy6jwnVwR2Hw9qtP7MwUG3GIHeKPIf9a+Y1tqUnJ3LdsXupdqGIiPQLbRWv1kqhDCyJyXDc3xpfbkxM4KwReVzcSpka1S4UEZGBQkGhDDxDdmr8ssaM5SmpvJgxiH+1UqZGtQtFRGQgUFAoA9ro+hCXbywGYM6QwXyUnNyiz4ictO09LRERke1OQaEMeN/aUsVx5RXUJhi/yh8KVtusfWROGrr3VkRE+jsFhSLAr4o3sWNtHZ+kpDBk7DPN2t76opRH3lIWsoiI9G8KCmVgiipTM8idOUUbSXanLuM17jt/cLMyNb988B2VqRERkX4trpI0ZpYLHALsCwwHcoFNQCHwFrDQ3Uu7fpq9l0rS9APhMNx/Iqx6jvuzMilOTOSs0jIa9jpRmRoREekv2ipJkxTrYNTgROBY4BzgQIItYmnyDMEOYQBuZi8DtwCPunuow7MW2V4SEuDoeTBnAt8rr2jR3FqZGgWFIiLSn7QZFJrZ94DZwBiCIHAjsBh4HygBNgPZwFBgd+AAgpXEg4E1Znaxu/9fd01epMtkDGtxaGNCAq8MSueYisoWbSpTIyIi/U2rQaGZLSII8oqAm4B/uPs72zqhme0DnAp8D7jXzH7q7tO7Zroi20eVGd8bPYKCpCSGhkJQ3bx9eLbK1IiISP/SVqLJBOBCYJy7X9iegBDA3d92958BY4FfRM4j0qeku3Pi5uBS8mV5Q7Gk5peQM1ITCYVVpkZERPqPNoNCd7/J3Wvb6NMqd6919xuBnbbZWaQXOq1sM9O3VFGamEjOuH9hbL1F9pOiSv6yYFUPzk5ERKRrtRoUunvLG6k6wN23bKuPmSWb2WFm9gczW2xm682s1szWmtlDZnZIK+PuMjNv4/HBNt73ZDN7xczKzKzCzJaa2blmplI9A1FUmZoE4JqiYvLq6wmlrubnJ3zGBYdNbGy/8flVKlMjIiL9RlwlabptEmZfB/4TeVkAvAlUEiSv7Bk5frW7/zZq3F3AD4FFwMcxTr3e3S9p5T3nEmRUVwMvAHXAYUAW8Cgwsz3Z0ypJ048tuAZe/j1L0lI5fUQ+DszbUMT0qmqVqRERkT6prZI07V4RM7MhZrafmQ2JOj4ysmK3zMweNbNJHZhjGHgYOMjdR7r7Ee5+orvvBZwEhIDfmNmMVsb/3d1PjfFoLSA8jiAgLAD2jrzfMcBEYCVwDHBeB74P6U8OuRiA/atrOLs0uKfwo5Rgb+TWytSIiIj0VfFcJr0EWEKQQAKAmaUArwI/ACYB3wVeNLO4lkvcfYG7H+/ur8Ro+xdwV+TlKfGctw0NweJF7t54Y5i7bwDOjry8WJeRB7iExMYvzyjdzD3rN/CjsvJWu6tMjYiI9GXxBD0zgE+jspBPBHYEFgKHA3MJdjnp6lW2ZZHnMW32agczGwNMBmqBB6Pb3X0hsBYYQVCSR4QEYFLN1pyrLWYt+gzNTNmOMxIREela8QSFY2h5394RBLuZnO7uz7n7T4FPgW930fwaNNzdv76V9hlm9kczu83Mrjazb7Wxyrdv5HmFu7e2tLMkqq9IoyVpqRwxZiSJme83O15TF6KovKaHZiUiItI58QSFgwl2NGlqKvCRu69ucmwZTS4xd5aZjSAohg3BfYex/D/g58BPgF8DzwDvmdleMfruGHn+vI23/SKqr0ijFSkpFCUlkTn6ARKSS0iILBqW14T42b+WqX6hiIj0SfEEhVUE29kBYGZjCVYPF0X1qwFSOz81MLMk4J9ADvCCuz8e1eVt4HxgDyATGEWwevkOQeby8zHub8yMPLdVcqdhA9ysjs9e+oWoMjUAP9xczozKLYQTqtl/7NWsTDuZz9JOZknq2Sz6uJgJlz6lMjUiItLntLn3cZQPgK+Z2RB3LwFOJrh0/HJUvzHAhi6a360EZWLWECPJJFIcu6lK4Ekz+w/BfY4HECSVNL3HseFmsA4v55jZGcAZAOPGjevoaaQvmBVVoPrLN7G/H8rVG4s5MSWF91NTuX7IYH5bvKlZRvLa0ioueeQ9AJWpERGRPiGelcJ7gAzgDTN7ALiKYEXt3w0dzCwV2A/odG0OM7sJ+DFB2ZjD3L2gvWMju7BcF3n5najmhvTRTFrX0BYz1dTdb3P3Ke4+JS8vr73Tkv5gzGQAcsLOHwuLSAk7D2Zn8e/MjBZdVaZGRET6kniCwnnAfQTb1h1PkL37E3dvWrDtSILAcWFnJmVmfyC4LFxEEBB2ZD+xht1MopdpPos8j29jbMM9kZ+10UcGuN1r67isuASAa4YOZlNCy79OKlMjIiJ9RbsvH7t7GDjFzH4DDAfed/fNUd1WAzNpeZ9hu5nZ74ELgWLgG+7+/jaGtKbh/seKqOMN5W32MLP0VjKQ94/qKxLTsRWVfJqczAHV1QwOh1u0D0pNjDFKRESk92l1pdDMTjKzFokW7v6puy+OERDi7m+5+8PxXOqNes/ZwCxgE0FA+M42hrTlhMjzkqYH3X0N8BaQQhDARs/hYIL7IguA1zvx/jJA/GJTKdOrqgFIoHlgWFkT4vF31vXEtEREROLS1uXj+4BCM3vCzH5sZt1685yZXQ1cBJQSBIRtrtKZ2T5mdoSZJUYdTzKzCwkuPwP8KcbwhvsNrzeznZuMzQduibycHVkdFWkuRkZygx8OuZuUwYtIS976V+v8+5ex48VPKiNZRER6NXOPnYRrZrOAY4GvRg6FCba0exSY7+5fxBzYkUmYHcXWhJWlwIpWun7g7rMjY46OzKUE+Aj4kqCEzF4EpWnCwCXu/vtW3vMWgi3tqoHngTqCTOdsYD5wvLuHtjX3KVOm+NKlS9vxXUq/9fyV8OofWZuUyBFjRhEG5hUUMa26miLPYf+aeY1d05MTue7YvZSRLCIiPcLM3nT3KTHbWgsKmwweSRAcHgscSHAfohPcb/cw8Ki7f9D6Gdo1wVOBO9vRdaG7HxIZsyNwAUHQOp7gHkInCA5fAea6+5vbeN+TgXMJAslEguSUO4B57V0lVFAohENw1RAA5ubmcOvgHHJCIf5vXQFj6kPsUH1fs+6jc9NZdPGhPTFTEREZ4DoVFEadaDDwXYIA8etAGkEg9hFBgDjf3QdUhKSgUAC4IgcIlqfPG57HK4PS2a2mlrvXb+ArVfc262rAp7P/d/vPUUREBry2gsJ4StLg7pvc/S53PwrIA04CHiS4XHsp8F8z+9zM/mRmB5uZtXU+kf4mAbiuaCNj6+r4IDWFq4YNIbpO+tDMlB6Zm4iISFviCgqbcvdKd3/A3U8iCBCPBO4C0gku6y4ALuuKSYr0JTlh56YNG0kPh3kiM4Pkwa81a6+qDbG+TPULRUSkd+lwUNiUu9e6+5Pu/mNgBEHCxlygsCvOL9LXTKyr46qNJQwJhfhaYg0GJETWzStrQ5z1z7eoqd9mHpOIiMh2E9c9hdKS7ikUAOZMhMqWvwOVm5EV9XesaUby6Nx0Zn1rV2Uji4jIdtHWPYXt3tEk6oQjCO4jTGutj7u/1lqbSL8zK2onxooiuGHnZgHh0rRU9qqpIY+tO0OuLa3ikkfeA1BgKCIiPSquoNDMZgJXAbtso6vHe26RfiWzea33h7IyuGroEI6o2MI1G4ubtVXVhZjz7IcKCkVEpEe1O3Azs5OAewkqapQBn9FyX2ERiWGv6lrS3Hk8K4PdamuDkulNrCtV4omIiPSseFbzLo08X0BQ3Lm+G+Yj0i/tWlfH1UXF/HJ4Hn8YkktixSpCWyY2ticlGjX1IVKTEts4i4iISPeJJ/t4IvCau/9FAaFI/L61pYqflJYRNiNzzD+x5K2XketCzuX/XoESv0REpKfEs1JYAqzpromI9DsZ+S0yks/bVMaHKSm8PAj2GXcN967bwCD3ICN5yTyeXl7A5qo6RikrWUREtrN4gsLngK9110RE+p3ojOTCD0i45X+YXbiRk0eNYFNCImuTkphYV0eeBRnJZVV1gLKSRURk+4vn8vHlQLaZXW9muvFJJF75uwGQ5c7NG4r4v3UFTKyra7V7Q1ayiIjI9tDulUJ3/8LMvgb8GzjWzF4AvgTCrfS/tmumKNL/jK9vfltuUWLs38+UlSwiIttLPCVpDDiPIOEkEZhAUI+wRdfIcQWFItvgwF9zs7kjJ5uEz78kXD2mWfuo3Fbrw4uIiHSpeO4pvBj4KVAPPAl8jOoUinRaQVISVQkJZI+9k7JPL8Drsxvb9h6T24MzExGRgSSeoPDHwBbga+7+djfNR6R/i8pINuCyjSV8mpzEW2kwePw/KFl9FngyAE8vL2C/q//DpspaZSSLiEi3svbWRTOzKuBFd/9O906pb5kyZYovXbq0p6chfdW6t+GOwykJ1/C9USNYl5zEtysqub6oGIOgVE3NvMbu6cmJXHfsXgoMRUSkQ8zsTXefEqstnuzjtQQrhSLSVUbtA8f+lSHhMH/eUMSgcJinMzO4NTe4hNxQqqaBMpJFRKS7xBMU/gs42MwyumsyIgPS7t8Fgq3wfl+4EXPnkaxMKsxidldGsoiIdId4gsKrgY+Ax8xsQjfNR2RAO7iqmtlFxdy3roDMVm7tUEayiIh0h3gSTR4jyDyeAaw0s9W0XqfQ3f1bXTA/kQHnO5VRd2lYXWPiCcA+Y5WRLCIiXS+eoPDrUeN2iTxiaV/2ioi0Kgz8ZXAOQzP+QvHqcyGcCsCT7xXw+tXPsalSeySLiEjXiSco/Ea3zUJkoIsqVQOwxYznBw2iNrmQ/x37K27aUEQSkYzkyiAjWXski4hIV2l3SRqJTSVppFusfgnu/i5fJCVx8qjhlCUmcnJZOZeUbAJgh+r7mnUfnZvOoosP7YGJiohIX9JVJWlEZHvZ6RAAxtXXc9OGjSS7c19OFvdmZ8bsroxkERHpLAWFIr3c5JoarioqBuD6IYN5cVB6iz4jlZEsIiKd1GpQaGYvm9m0zpzczKab2cudOYeIwBGVWzhnUyluxs25OUQn/U/Mi72CKCIi0l5tJZrsBrxiZguAvwPz3b1mWyc0s1TgWIK9kmcARV0xUZGB7qzSzSQ7HFtewa+y1/L85rGNbQtXbWTSlc+xuUoZySIi0jFtBYUTgSuBc4BDgXIzWwS8DqwEioHNQDYwFNgdmApMBzIJahreBFzRTXMX6d+iMpINOL1sMwB/r70I0qAWSCGSkVyljGQREem4bWYfm9lOwE+BHwK5tF2D0IAS4A7gFnf/rGum2Xsp+1i2m40fw82TAQgBNwzJ5eOUZG4pKCIZZSSLiMi2tZV9vM06he6+Gvi5mV0KHAwcAuwD5AM5QClQCLwFvAi80p7LzCISp2E7N35ZkpjA0xkZFCclcsWwIfxuY0mL7spIFhGReLS7eLW7VwHPRB4i0oPyQmHmbijiRyPzeSwrk9H1ISho3mdEjjKSRUSk/VSSRqSP2qO2ljmFG0lwZ97gHJJymt/GkJ2WRF0o1tbkIiIiLcWzzZ2I9DIHV1VzWfEmrh42hKyRDzI34RamVVUDUFSaw6Qrb6OqNqSMZBER2SatFIr0JRn5LQ6dUF7BaaVl1JsxNzenMRMsz8rYUhvC2ZqRPH/Z2u06XRER6Tu0UijSl8xa1fx1XRVcM4ILNpWRFXZmlpdjrQytqgsx59kPtVooIiIxKSgU6cuSgy3vEthawxCCulFV1jI8VEayiIi0RkGhSD9TD/xu2BBWJSfDZ7XgKY1tw7JSe25iIiLSq+meQpF+piwhgdfT0ng3LZXs0XcTlLoOVNfWs6ZkS89NTkREei2tFIr0dVHb4Q0Nh5m3oZD/N3I4ZVkfc+qYC7h8YwlGsB3e1BtuJRR2ZSSLiEgz7Q4Kzex04N5IEWsR6S2ik09WzGenB3/IzRuKOH1EPg9nZTKsPsR5pWXkWRn14SA/WXski4hIU/FcPr4N+NLM/mBmE7trQiLSSXscDcA+NbXcUFhMojt/HZzDfVmZLbo2ZCSLiIjEExQ+AWQDPwdWmtkzZnakWYwURxHpFQ6pquLyyL7Ij2VlUBejjzKSRUQE4tv7+CgzGwucDZwGfBP4BrDGzG4Fbnf3ou6Zpoh01DEVlaS6c9CWKpJjtGem6tZiERGJM/vY3de4+6XAWOAHwGJgHHAN8IWZ3WNmU+OdhJklm9lhkUvTi81svZnVmtlaM3vIzA7ZxviTzewVMyszswozW2pm55pZm99fR8eJ9DXfqdxCpgf3Es5MXIAlbWpsK6+p557XP+uZiYmISK9h7r7tXm2dwGwScC7wPWBQ5PDbwFyCxJSadpzj68B/Ii8LgDeBSmB3YM/I8avd/bcxxs4FzgGqgReAOuAwIAt4FJjp7qGuGhdtypQpvnTp0m11E9m+5kxslpHcoA74bd5QXktP4x/rNrBDfT1FnsP+NfMAGK2MZBGRfs3M3nT3KbHaOr0i5u7vAFcCdwIWeewL/A34zMx+3I7ThIGHgYPcfaS7H+HuJ7r7XsBJBIXWfmNmM5oOMrPjCAK7AmDvyLhjgInASuAY4LzoN+voOJE+Y9YquKJs6+PiNY1NmxISKElM5IyR+RQkJpJnZY1t2iNZRGTg6lRQaGZfN7NHgE8JVgurgTsIVg2fAvKB28zs/LbO4+4L3P14d38lRtu/gLsiL0+Jar4k8nyRu69qMmYDwb2PABfHuBzc0XEifVNaNgDJwB8LN7J3dQ3rk5I4c0Q+mxKaf8yVkSwiMjDFHfSYWY6Z/czMPgCeBY4G1gGXAmPc/XR3/5e7HwlMI7gM3GZQ2A7LIs9jmsxjDDAZqAUejB7g7guBtcAI4IDOjhPpLwa5c8uGInaurWV1SjLnjMiDhOZ3eSgjWURk4Gl3UGhm+5nZ3wkCpj8AuwALgeOAndz9encvaTrG3f8LPEmQjNIZDXUR1zc5tm/keUUbBbWXRPXtzDiRfiMnHOa2gkJG19WzPDWV3DG3g9U3tieYsb5MgaGIyEASTy2KhmyKLcDfgb+4+/J2jKuM832aMbMRwKmRlw83adox8vx5G8O/iOrbmXEi/UpeKMzfCoLt8EYnruKW9B+SHdntpMhzmHq9tsMTERlI4gnWPiPIKL7d3UvjGPcT4Mx4JtXAzJKAfwI5wAvu/niT5obtGSrbOEVF5DmrC8aJ9G1ReyQDjK2v546CDQyvDzGoSSUCbYcnIjLwxBMUTvAO1K+JjNlmaZdW3EpQJmYNLZNMGnZSiXdOHR239QRmZwBnAIwb19kr4yLbSfQeyQBX5LBj3dbLxiHguYxBHF65pVm3huQTBYUiIv1XPIkmz5rZhdvqZGY/N7PnOjGnhvPcBPyYoGzMYe5eENWlPPLcckPXrRraypsc6+i4Ru5+m7tPcfcpeXl5bZxGpG/5dd5QfpU/jJtzc1q0KflERKR/iyco/DpbC0m3ZXeC1b0OM7M/EGQsFxEEhDGWOPgs8jy+jVONjerbmXEi/d7XK7eQ6M5tg3NIH/Jis7a05ETC4c4VuxcRkd6rO+rwpRAUo+4QM/s9cCFQDHzD3d9vpWtDmZo9zCy9lT77R/XtzDiRfu+wLVVcvbEYgKThz/L7vDP4LO1kPks7mZcTzuDKx1fQ2V2QRESkd+rSoNDMjKAG4MYOjp8NzAI2EQSE77TW193XAG8RBKEzY5zrYIK6hgXA650dJ9IvZeS3OHRkxRYu2xhUl/rd0ME8kRHsXplnZfzj9c/Z+4rn2PHiJ5k+e4F2PhER6UfaTDSJcW/gN9u4XzCJoJ7gKOCheCdiZlcDFwGlBAFhe1bpriMoQH29mb3m7h9HzpUP3BLpM9vdo1cuOzpOpH+JTj5xhytzOam8gsoE48Yhg/l13lCGhMJMq64GoLwmSExRVrKISP+yrezjrzf52gkCvlHbGPMu8Kt4JmFmRwG/jrz8GPhpsOjYwgfuPrtxQu4Pmdk8gq3p3jOz54E6gnsas4H5wM3RJ+noOJF+r8nfux+XlbPFEngzLZVJNTUxuysrWUSk/9hWUPiNyLMBzxFsa3dDK31rgbXuvroD8xjS5OspkUcsC4HZTQ+4+zlm9irB3ssHA4nABwR7MM9rbbWvo+NEBpLzSsuoI7jXIuBsreoUUFayiEj/0GZQ6O4vNHxtZouAhU2PdRV3vwu4qxPj7wPu217jRAYKY2tAWA9MHvVH3t50HKGqHRr75A5K7oGZiYhIV2t38Wp3P7A7JyIivUSMnU8AHszK5KOcIvKzbuHv6wvZo7YWgKJQDpOvvp2SylptiSci0od1eE9iEemnopNP6mvg/u8x85MXeDMtlWczMzhjRB63FxSyW20deVZGcWUQICr5RESk72o1KDSzSyNfznP3TU1et4u7X9upmYlI75CUCif+k6RrR3JdUTG1ZryYMYifjMjnjvWFTKyra9ZdySciIn1TWyuFvyO4q/whgrqBDa+3xSL9FBSK9BcpQa3CZOCGwo38bHgerwxK5/SR+dy5fgNUN++u5BMRkb6nraDwWoLgbmPUaxEZwFKAPxUW8dPhebyens7c3JwWu4QPy0rtkbmJiEjHmbas6pwpU6b40qVLe3oaIt3vipxmL6vMuDU3mzNLNzMo6t+RIs/hf1PuoKi8RsknIiK9iJm96e4xS/91x97HItIfRW2Jl+7OzzeVNQaEdUBhYiIQbIlXWF6DszX5RFviiYj0bso+FpH2ic5K3lICv98RCALCi/KHsSIlhTsKNjC6PtSsq5JPRER6v3avFJrZ2WZWa2b/20afIyJ9Tu+a6YlIrzVo60ZEtWZsSExkXXISPx4xnHVJiS26K/lERKR3i+fy8bFACfB0G32ejvQ5vjOTEpG+JcOdWwsK2bu6hrXJSZw2YjiWVNqsT362kk9ERHqzeC4f7wa819aewO4eMrP3gN07PTMR6VOyIoHhmSPyeS8tld12uJo71xcyIhRcSt5Ym8PnxSsZPzSjh2cqIiKxxLNSmAdsaEe/QiB/m71EpO+LSj7JcufWDYXsUVPDl8nJ/GhkPhsiySfDKOPQG15ix4ufZPrsBUo8ERHpZeJZKSwDxraj32igomPTEZE+JTr5pLKY7Dk78dfIiuGgsJMd3npxIRSpXKPt8EREep94VgqXAQeY2YTWOkTapgFvd3ZiItIHZQwFICfs3FZQyM0bikhvpRZqQ0ayiIj0DvEEhXcR7HI138wmRjea2c7AfCAx0ldEBrDssDerYXjN0MFYcnGzPspIFhHpPeK5fPwv4BTgO8AKM3sV+CDStitwYOR8z7j7P7t0liLSp92Wm8P/ZWex86DruGN9IWPr64Fg55Mvij9g3NBBPTxDERFpd1Do7m5mxwJ/An4CHBJ5NKgH5gEXduH8RKSvyciHysJmh04t28x/01NZlpbGqSPzuWN9IePr68mzMibc8CJhR9vhiYj0sA7tfWxmI4DDgPGRQ58DL7h7QSOLv1AAACAASURBVBfOrU/Q3sci21BdBrPHUWnGOSPyeCstjWH1IW4v2MBOdfXsUH1fY9f05ESuO3YvBYYiIt2ky/c+dvcCd7/X3a+NPO4diAGhiLRDWg4QFLieV1DEV6uq2ZiUyI9GDuej5ORmXZV8IiLSczoUFIqIdMQgd27eUMS0LVWUJCbyt9xsoPnVCiWfiIj0jHgSTQAws12B8wnuJ2y4xrMWeBG42d0/aGWoiAjp7vy5sIi/5eTw47LNzEn7frP2Is/hg4Ll7DYiu4dmKCIyMMUVFJrZqQTJJCmANWnKBr4CnG5mZ7r7P7pshiLS90Uln6Q6nFda1vi6Fvg0JZlda+vIszL+56ZXcCWfiIhsV+0OCs1sf+BvBJecHwXuAD4hCA53BE4DjgX+Zmbvu/uSrp+uiPRJ0Tuf1NfC7/KCL4GL8oexKD2NP28o4oDqGsLa+UREZLuL557CWZH+p7j78e7+lLt/6O4fuPvT7j6ToI5hEvDL7pisiPQTSSmNXxqQEQ5TlZDAucPzeTk9rVlXJZ+IiGwf8QSFXwPedPf7W+sQaVsCHNTZiYnIwJAIXLWxhBM3l1ObYFwwPI+0rGXN+ij5RESk+8VzT+FQYEE7+q0C9unYdERkIEoALiveRJo7/8jJJnX0/zGnaC5HVm4BguSTFz9cyoxd83t2oiIi/Vg8QeEmYEI7+u0U6Ssi0rqo5BMDflFSSnrYuXVwDpflDSUnHOagqmryrIwf3RncpjxaySciIt0inqDwNeC7ZvZdd/93rA5mdiRwAEEiiohI66KTTwC7IodzS8tI8zCvp6fzP9XVLfoo+UREpHvEc0/hHyPPD5rZHWZ2sJmNM7Oxka9vBx4Cwk36iojE7cdl5dxaUEhqJAu5Dmha5FrJJyIiXa/dQaG7vwr8jOAqzw8J7i/8FPgs8vWPIuf7mbsv6vKZisiA0nAZow742fA88offT/A7Z2Ctkk9ERLpUXMWr3f0vZtYQHB4EjCIIEtcCC4Gb3H1ZG6cQEYnLytQUXk9Po27Qu5yS/BpXbCwhiSD5ZK8r/kZFdb2KXIuIdIG4t7mLBH0/7Ia5iMhAF5V8ArB3TS1zCwq5YHge/87KpCIhgeuLNpJHGeXV9YDuMxQR6QpxB4UiIt0mRvIJV+QwtbqG2woKOWd4Pi9kDOLchHxu2lDUrFvDfYYKCkVEOiaeRBMRkR6zT00td67fwND6EP9NT+P0kfmQsKVZHxW5FhHpuFZXCs3stk6c1939zE6MFxFpYde6Ou5ev4EzRuSTEwqzKuV0kpu0F3kOVbWfkp6S2GNzFBHpq9q6fHx6J87rgIJCEely4+rruWd9AZlhbxYQAuRZGTNuepnq+jAFZdVKQBERiUNbQeFPttssRERaEyP5JC+0tTRNLfDrvKGcWraZ3Wvr+LR46yVlJaCIiLRfq0Ghu9++PSciIhJTK8knDe7OyebpzAxeHpTOnzcUQdQmKEpAERFpHyWaiEif9sOyzRxeUUllQgJnjcgnK+vNFn2UgCIism0dKkljZpnAFCAP+MLd/9ulsxIRaadk4PqiYgaHwtyfk0XC6Ae4ofhWji+vbOyzkRzgix6bo4hIXxDXSqGZZUWykjcCLwD/R5OEEjM728y+MLOvdu00RUSayMhv9jIBuKRkE+dsKiVsxpXDhvLX3OzG3ZKHUcbkq//Djhc/yfTZC5i/bO12n7KISG/X7pVCMxsEvATsSxAUvgV8M6rbc8Bc4Bjgja6ZoohIlBj3Gdrb93H2/LMZEgpzzdDBrExJIQw0FKcprqwFlHwiItKaeFYKf0EQEN4P7Ojuh0d3cPdPgFXAoV0zPRGRdtrnZABOLK/gtoJCri/aSGvVChuST0REZKt4gsITgPXAj929so1+nwP69VtEeswB1TWkRq4dV5lx/ZBcSGiebKLkExGR5uJJNJkAPOvu1dvotxEY1vEpiYh0neuHDubhrEz2S7+MWwuKyA+FgGD3k7rQZyQnqgiDiAjEt1JYB6S2o98YoCLeiZjZrmZ2gZn908w+MLOwmbmZHd/GmLsifVp7fLCN9zzZzF4xszIzqzCzpWZ2rpnpfwmRvigqAQXgjNIydqitY1VKCqeMGs4nycHvwnlWxp6XP6vkExGRiHhWCj8C9jWzVHevidXBzHKBScCyDszlbOCCDowDWAR8HOP4+tYGmNlc4ByCUrcvEAS9hwE3A4eZ2Ux3D3VwPiLSE6ITUKo3M2r2WO5Zv4HzhufxTloqPxg5gr9sKGJyTQ019cHOKEo+ERGJb6XwYWA4cG0bfX4HZAIPdmAuy4E5wInAzsDCOMb+3d1PjfG4JFZnMzuOICAsAPZ29yPc/RhgIrCSIHv6vA58DyLSm6RlA5AbDvO3gkJmVG6hPDGBM0bk85//396dx8lV1fn/f31636v37CAMyk8ZlEDYR0EZRUVlDSiMoKCMwIy4IaAjBpVt1AGUTRQkDqIOIIujskWIyiZhmS+CKCphSbo7nV6q9/3z++Pe6lSKqk4v1V1dXe/n41GPS91z7q1TfUnnk7N8TlnpdlW1+EREct1Uegq/C5wCfMbMVhEEiQA7m9kngdUEPW3PAT+YakPcfbtrzGyqt5iKWLB4rruPdy24e4uZnUGQeuc8M/uuu48lu4GIZJdSdy7fspVL6mr4WVUlvykvY2PfidvVae1XkmsRyV2TDgrdvdfM3kMQDL4d+Kew6NDwZcAzwJGphpfnAzNbDuwDDJGkR9Pd15vZJoIV1AcAj8xtC0VktuQDX27rYK+BQQ7v7XtdeYMFSa7be4dYWl3KOYfvruFkEckZU9rmzt1fBfYzsw8A7wd2Jfg9+yrwa+D2DPWsvdPM3kowdN0C/B64P0VbVobH59w9VU6KJwiCwpUoKBTJbuWN0Ltl/K0BH4gLCHvNuKG6in/tjFLsSnItIrlrWnsfu/v/Av+b5rbMxMlJzj1vZh9292cTzu8SHl+e4H6x8aNdJqgjItkgye4nrImM/+cF9bXcV1HOkyXFfKdl63bVYvMMFRSKSC5IudDEzG4zs/fZLE/um6FngE8DexD0Ei4FPgD8H/AW4AEzS/xtXhEeJ0rAHUupU5m+porIfHR6ZxeNIyM8VVLCvyxZRH7h9oGhklyLSK6YqKfwGIJVuE1mtha4KX5Rxnzg7lcknOoFfmlm9xOsXj6AYFFJ/EriWJDr0/1cMzsdOB1gp512mu5tRGQe2H14mB9vbuHMxQ28WFTE8l0u46rmVvYcCoaRWz1C7+DfKS+e1sCKiEjWmCglzbVAB0Hv23nAC2a23sxOMbOyOWndNLn7EHBJ+Pb9CcXd4bGC1GJl3ckK3f16d1/l7qsaGhqm31ARyYyEJNeLR0dZu7mFA/r7ac/P59QljawLU9Y0WJS9vnafklyLyIKXMih097MIAsITgPuAMYJVxzcCzWb2fTM7aE5aOT2x3UwSh483hsedJ7h2RUJdEVlIznkR1kS3vS7ooNKda5pbOaq7h4G8PB4uLRmvPjzqONsWnygwFJGFaMLk1e4+5O63uvv7CIKoLxPsbFIBnAb8zsz+ZGbnmNni2W/ulNSFx8Qt92K7rexhZqUkt29CXRFZyPKCX4WFwNe2tnPJlq2c39aRtKqSXIvIQjXpHU3cfbO7X+LubwYOBm4gGF7dHbgUeMXM7jKzI80sf3aaOyXHh8cn4k+GaXWeAooIEm5vx8wOIdi/uRl4dJbbKCLzTCxlTWH4PppnnL70LJ4vPYmNJSeyseRE7uz/WAZbKCIyO6ayzd04d3/U3T8JLCHY5eQhgnyFHwB+Dsz62IqZ7WVmH0gMQM2swMw+R7AqGeDyJJfH5hteZma7xV3bCFwTvr1Uu5mIyIX1dfwkUskpSxbRnB/8ummwKHuuuVfzDEVkQZlWUBjj7v3u/t/ufhjwXmArwT+0p7z6wsz2NrPHYi9g77Do4oTzMW8AfgFsMbNHzexWM7uHIP/gt8M657r7vUnafRvBQprFwLNm9gsz+znwIkEqmzuBq6b6HUQkiyUsPok5u72TnYaHeaG4iJOWLuL5oqAPsXtgRPMMRWRBMfdpZ2bBzCoIFqJ8DDiIbeleXnH3N0zxXocCD+6onrtbWH8X4GxgP4L5jnUEaWZeA34HXO3uT+7gM08EzgL2JOjpfIFgIc21k+0lXLVqlW/YsGEyVUUk24RJrjvz8vhMYz1PlpZQOjbGpa1tnNp+w3ZVl1WX8vB578pEK0VEJs3MnnT3VUnLphMUmtk7gY8T5DIsJQgGB4G7CYKq+3wm0WYWUVAosoDF7XwyBFxYX8vdlRWYO59v7+SUrm1Zq1o9QsOFryS5iYjI/DFRUDjpbKxhz9wp4WsntvUKPgP8ELjZ3ZMv1xMRyXJFwDe2trPL8AhX1lbTUrD9eroGi7LqG/fT1jPE0upSzjl8d22PJyJZZcKgMExSvZpgePjtBIGgESS1vgW4wd2fmeU2iohkRnkj9G4Zf2vAJ6JdvG1wkL0HBl9XfWtPsAtKbJ4hoMBQRLJGyqDQzG4gCAjLCX4XjgEPEAwP3xHuGiIisnCdk2RnzzUR9o0LCNvz8ji/oY7z2jtgYFu1WD5DBYUiki0m6in8eHh8CbgJ+KG7vzbrLRIRySLfrYnwSFkpJxUXUzv6NO19K8fLNnf2Z7BlIiJTM1FQ+GPgRnff4YpgEZFcdU57J+35+fymvIz8nX7KZW3XckJ3sJFSq0fY0vUXGqtKdnAXEZHMSxkUuvtH57IhIiJZIWGeYZk7l2/ZypU1EW6sjvCN+lr+WlTIF9s6aLAou16yDne0+ERE5r1Jrz4WERGSzjPMWxPhsx1Rdh0e4cL6Wn5aVclLhYVc27yFsTA5lxafiMh8N6MdTUREZJsje3q5samF2tFR3jo4SCFQFrf6JFh88kLmGigiMgH1FIqIpNFeg0PcvqmJ2tFgU6TnS06l34zSMJ9/a3+EgeGXKCnMn+g2IiJzTkGhiEia1Y9u2yWzNT+Pk5Yu5qRoNyd3ddNgUd5++XqGR5yWrgHNNRSReUPDxyIiM1XemLLo96WlNBUU8K26Gr5cX8egwavt/TR3DeBsm2t459Ob5q69IiJJqKdQRGSmUiS5Bji6p5fysTH+o6GOX1SW81JRAYWvtDM8UjteVYmuRWQ+UFAoIjLL3tPXz85NLXy6sYE/FhezYpeLuXzLVt42uG1jqNb+CPBK5hopIjlPw8ciInNg96FhfrK5mVX9A7QWFHDa4ka25G9bbNJgUQ68ZB27nPdLDr70NxpOFpE5p55CEZHZkJDkGqB2bIzrm7dwWV0N9aOjNI6OblfeFA3S1yinoYhkgoJCEZHZkGyeIVC4JsJ/tHXgceeeLypk8cj2AaLmGYrIXFNQKCKSARYem/PzOWNxI8Xu/KrlFN4yNDxeR/MMRWQuaU6hiEgG5eMsHx6hqaCAk5cs4n/Ly8bLGizKQZpnKCJzREGhiMhcSshp2DA6xg+bWjimu4fBvDzOb6znstpqYv2Fm6PKZygic0PDxyIicynJXMOiNRHWbG1nj8EhLqmr4eZIFS8UFfHNLVu3q6d5hiIymxQUiojMAwYc393Dm4aG+FxjPU+VFPNiUSEbx07crp7mGYrIbFFQKCIyj+w1OMTPNjfzh5ISDhwYfF15bJ5hU1T7JotIemlOoYhIpiWZZ3hEb9/4+8dKirmwrobBcMmy5hmKyGxQT6GISKZNsHfyMPCVhjqaCwr4U3ERl7donqGIzA4FhSIi81gh8J2WVj7b2MBzxcUcv2wxP9ny8e2GljXPUETSQcPHIiLz3JuHhvnZ5mYO7uunMz+fTy1u5AeRKsbCcu2bLCLpoKBQRGQ+SphnGBkb4+qWVj7VEWXMjCtrq7mwvna8vEnzDEVkhjR8LCIyHyWZZ5i/JsJZnVH2HBzkPxrqOKKnN+mlmmcoItOhoFBEJMu8o3+Ae17dTJn7+Ll7q05hd+2bLCIzoKBQRCQLxQeEj5SW8KlFDRzd08v5bR2UuNNgUQ64eB0tXcpnKCKTozmFIiLZImGeYUxHXh5F7vy8soKPLlnEqwXBv/ebuzTPUEQmTz2FIiLZIkU+wyN6+9hteJjPNdbzQnERxy9bzDda22BgWzXNMxSRHVFQKCKyAOw+NMxPNzVzQUMdD5SX8ZlFDZxVciafae+kMKyjeYYiMhENH4uILBCV7vzXlq2c09ZBgTu/Ki8nmrft13yDRdn3ogeUz1BEklJPoYhINitvhN4t428NOLmrm7cODjKKUT82tl311u5gJ5TYPENAQ8oiAigoFBHJbinmGe41OLTdqaurIwwb0DRC7Fe/5hmKSDwFhSIiC9zmgnx+UF3FiBmHFn+B/2xto3F0FNA8QxHZRnMKRUQWuKUjo1zfvIWGkRGeLC1h9bLFPFxaAgTzDFd+7T7NMxQRBYUiIgtOknyG+w4McuumZg7s76c9P59PLW7kypoII0BH37DyGYqIho9FRBacFPMM68bGuLa5lRsiVVxdE+EH1RFGMeqaorQRATTPUCSXKSgUEckh+cDp0S72Hhzkm7XVnBzt4nMlZ2xXR/MMRXKTgkIRkRy0amCQn25uwcL3I8DPqio4vquHBoty/HWP8FpHP01R7Z0skis0p1BEJBckmWdocf/9veoIl9bV8tGli3iloIA/bOxgc1R7J4vkEvUUiojkghTzDGMO7u/n7opynisu5vhli7lm6yd4f2/fdtXb7qqGlS/PdktFJEPmTU+hme1uZmeb2c1m9oKZjZmZm9lxk7j2RDP7nZlFzazHzDaY2VlmNuH3m+51IiILzV6DQ9y6uYl39/bRm5fHuY31XFBfS59t60+sozODLRSR2TafegrPAM6e6kVmdjVwJjAArAOGgcOAq4DDzGy1u4+m6zoRkYWqasz59pat3FpZwWW1NdxRWcEzxcXc0NxCw2iwXd6+Fz3A1u5BzTMUWYDmU4/YH4FvAicAuwHrd3SBmR1LENg1A2919w+4+9HAG4E/AUcD/5au60REFpQU8wyP7+7hls3N7Do0zKLREepGt+2f3No9qHmGIguUuXum25CUmT0EHAKsdvfbUtTZAOwDnOLuP0ooOwR4iCDwW+buYzO9LplVq1b5hg0bpvTdRETmtXCuYb8ZA2bUjAW/Blvz8yhwxt8DtFFN3RrNMxTJFmb2pLuvSlY2n3oKp8TMlhMEdkPArYnl7r4e2AQsBg6Y6XUiIrmm1H08ABwFvthQz7HLFvN4SfF4Hc0zFFk4sjYoBFaGx+fcvT9FnScS6s7kOhGR3JBkWLknL48xg9aCAj65uJHLayIMh2X/+NV7tXeyyAIwnxaaTNUu4XGicYtYSv5d4s5N9zoRkdyQJH1NZE2EG5q2cH11hO9VV3FjdYTHS0u4bEsbPT0jwLZ5hoAWoIhkoWwOCivCY+8EdXrCY2UarhMRyWkFwJmdUQ7s7+e8hnqeKy5m9bLFXNn2SY7s2fYrVfkMRbJTNg8fx5JnTXWlzHSv23YDs9PDnIYbWltbp3sbEZGstDLMafi+nl768/Joyc/frryOTg68ZJ2GlEWyTDYHhd3hsWKCOrGy7rhz071unLtf7+6r3H1VQ0PDDhsqIpL1EuYZVo05l7W2cVXzFk6Ldo2f78oL/t3dpC3yRLJONg8fbwyPO09QZ0VC3ZlcJyKSu5LMM7Q1EQ7pHxh/vyU/n9XLFnNkdy8vdpxIYVxdDSmLzH/Z3FP4dHjcw8xKU9TZN6HuTK4TEZEJPFFSTGdeHj+sruKkpYv5e+G2fgelrhGZ/7I2KHT3V4GngCJgdWJ5mIR6OUES6kdnep2IiEzsiN4+1ja1sGx4hD8VF3HC0sX8pLJifAL3yq/dp3mGIvNY1gaFoUvC42VmtlvspJk1AteEby9NsivJdK8TEZGYJPkM9xoc4rZNTXyou4eBvDwurq/lzEUNbM3Po6NvWPMMReaxebPNnZntzbaADOAtBClhXgTaYyfd/YCE664BzgAGgAeAYeAwoAq4EzjO3UeTfN60rkukbe5EROKEW+QB3FdWyoX1tfTk5XFTUwsrB4e2q6ot8kTm3kTb3M2nhSZVwP5Jzr9xoovc/Uwz+z1wFsFeyfnAC8CNwLWpevume52IiEzOe/r6edumZv5QWrxdQDgMFBLMMzzoknU0RQdYWl3KOYfvrqTXIhk0b4JCd3+IbTkEp3rtLcAtc3WdiIikUN4IvVvG3y4aHeWDPX3j739XWsLFdTVc1NrO3oODbI4Gq5e1G4pI5s2boFBERBaAJKlr4oeUf1pVyWuFhXxsSSMfj3bxl44TKYqrqtQ1IpmT7QtNREQki1zR0sonO6MYcGN1hI8sXcxfCrdlNFTqGpHMUVAoIiJzphD4dEeUtU0trBge5i/FRXx42WJujFQSW9mn1DUimaGgUEREZlfK1DXNHNfVzbAZt1RV0mfBtHKlrhHJDM0pFBGR2ZVinmGZO19t6+Bdff0Uu1MZpkh7seRECti28lDzDEXmhnoKRUQko97eP8B+A4Pj779TU80Zixpoyc8HgnmG/UM7TBsrIjOknkIREZl7CalrYrryjLsqy+nIz+foZUs4v72dD/T0seeaexkdc+UzFJlF82ZHk2ylHU1ERNIkTF3Tmp/HhfV1rC8rBeCdvX1csLWd+rFtewoMFNdRcv7fM9JMkWw20Y4mGj4WEZF5pWF0jO+2tPK11jYqxsZ4sLyMo5cv4Z7ysvE6JYNtGWyhyMKkoFBEROYdA47u6eWO15o4sL+fzvx87ikvI35s661r7lXqGpE00pxCERGZH5LMM1w8Osr3mlu5vbKcQ3v7x1ck95nR3T+Ek6ct8kTSREGhiIjMDylS1xhwXHfv+Klh4ONLGlk9fDZfauugOpxrqNQ1IjOjoFBERLLKX4qKeKmwkOeLi/lDSQlfaWvnsL5+6ujk+t/+jbWPvMzmzn6tVBaZIs0pFBGR+SvJbih7DA1x+6Zm9ukfoK0gn88sauCLDXV05OVx8a9eYFNnv3ZEEZkGpaSZIaWkERGZY2HqmjHgp5UVXFFbTX9eHrWjo1ywNeg1jNdGNXVrNKwsAkpJIyIiC1AecGJ3D7dvamK//gHa8/PZEu6CEq+OzrlvnEgW0pxCERHJaitGRvl+8xbWlZVu10v4SkEBK0ZGMGD/ix9gS9eg5hmKTEBBoYiIZJckqWvygHfHBYSbCvI5btli9hsY5Ctb23l86FgoAQaAu2DgHu2IIpJIQaGIiGSXZKlrYHyuIcDGwkIKHNaXlfLk8iV8oa2DY3p6x/McakcUkdfTnEIREVlwDu4f4I5NTRza20dPXh5rGur45OJGXi3YNufwoEvXaUcUkTgKCkVEZGFISF+zaHSU72zZymVbtlI9OsrjpSUcu2zbHsqbOweUukYkjoaPRURkYUgyrGxrIry/t4/9+we4rK6G+8vL2GVoGICNJSduV1c7okiuU0+hiIgseHVjY/xnaxt3vNbE7sPD4+d/XV7GUKyOUtdIjlNPoYiILFwJK5XfMDIy/t/3lZXyxcZ6/mFoiDVb29lrcIg9vnoPfYOjSl0jOUlBoYiILFzJViqHq5TrR8fYeXiYvxUVcfKSRXykq4c/dHyY8hJX6hrJSRo+FhGRnLT34CC3bWrmE51R8oBbIpUctXwJvy0tGa+j1DWSSxQUiohIzipx5+yOKD/b3Mweg4M0FxRw1uJGfhGuUAZY+bX7lLpGcoKGj0VEJLck2RFl96Fhbt7cwo+rKrmrspx/jtsd5emx1doNRXKCgkIREcktKeYZFgCndHXzL13dxFJc95hxYX0tZ3ZG2WU4WKSiIWVZqBQUioiIxMmP++/rqyPcU1HOuvIyPtkZ5bTOLoqA/S56gNbuQa1SlgVFQaGIiEiSIWWA06JddOTncWdlBdfUVPPr8nIuaGvnDwPHakhZFhwFhSIiIimGlCNjY3x9azsf6unla3W1vFRUyMeXLOKY7h4+195JZGwM0JCyLAxafSwiIrID+w4McvumJs7oiFLozs8rK3i2uGi7Ogdesk6rlCWrqadQREQkmYQh5SLgzM4o7+3tZV1ZGf/UPzBe1pmXR1O0HzA2dfZz/s+fBdBcQ8kqCgpFRESSSTGkvOvwCLtGu8ZPPVtUxKlLGjk3esb4QhSAtruqYeXLc9NWkTTQ8LGIiMgMPFZawkBeHtfUVHPssiU8XlIMQB2dDI6MZrh1IpOnnkIREZHJSrJK+ZPRLvYaHOTr4UKUTyxZxBE9vXyhrYMDLriXkTFnmVLXSBYwd890G7LaqlWrfMOGDZluhoiIZMqaCADDwE2RKr5XXcVgXh6Vo2N8a8tWDhrYNvdwoFipaySzzOxJd1+VrEzDxyIiImlQSNBreMemJt4ebpP3puGh7eqUDLYxNqbOGJmfNHwsIiKSRitGRrm6pZXNBfnUjwZ5DEeAG6qr+EhXNx/81oP0D49pRxSZdxQUioiIzESSeYYGLItbZHJLVSVX1VRzS1UlX2g7iQ8M92HaEUXmGQWFIiIiM5EidU28A/oH2HtggKdKSvhSYz0/7x/gy20d7DY8DGhHFJkfNKdQRERklr1peJibmrbwjdY2akZH2VBawupli/lWbTW9ZgDsf/ED2hFFMko9hSIiIumWYkj5yJ5eDu3r5zs1EW6trGBtpIrdhoY5qqeXx4eOBQ0pSwYpKBQREUm3ZEPKAGsiRMbG+EpbB8d093JbZTkf6ukdL+42ozJMFachZZlrWT98bGY3mZlP8HphgmtPNLPfmVnUzHrMbIOZnWVmWf9zERGR+W2PoSG+2tYx/hfx5oJ8Dl+xjG/XaEhZMmMh9RQ+DPw1yfmmZJXN7GrgTIKO+nUEeUcPA64CDjOz1e6u/YlERCR9kgwrxzxSWkJPnnFTdRW/qijj8+2dPNZ7rFYpy5xZSEHhD9z9pslUNLNjCQLCZuAd7v5ieH4R8CBwNPBvwJWz01QREclJE6xUPq67lzcP12oIWgAAIABJREFUDnNRXQ3PlhRzbmM9t/YP8KW2Dt6oVcoyB3J1mPT88HhuLCAEcPcW4Izw7XkaRhYRkbm0x9AQNze1cGHCKuX/qawYr6MhZZktC6mncFLMbDmwDzAE3JpY7u7rzWwTsAw4AHhkblsoIiI5JWFIOQ84pqeXw/r6uKqmmtsrK1g5MDherlXKMlsWUlD4TjN7K1ABtAC/B+5397GEeivD43Pu3p/iXk8QBIUrUVAoIiKzKcWQcmTM+XJbB//aGR3fLs+Bb9dWc3hPH3sOBfsqa0hZ0mUhBYUnJzn3vJl92N2fjTu3S3h8eYJ7vZJQV0REJCNiASHA+tJS1kaqWBup4qjuHs7u6KR+dIz9L36ALV3aS1lmZiEEhc8ATxKsIH4ZqAL2Bi4C3gY8YGZ7u3ts4kVsYkZv4o3i9ITHyvQ3V0REZAdSrFLeb2CA0zqj/ChSxZ2VFdxfXsYZHVF+33UshRpSlhnK+qDQ3a9IONUL/NLM7gfWE8wLPJ9gNTEESeUh6IWfFjM7HTgdYKeddprubURERJJLMaRc5s5nOqIc3d3LN+tqWF9WyrfqaritsoLz2js4uH8A0JCyTM+CXV3r7kPAJeHb98cVdYfHClKLlXUnK3T36919lbuvamhomFlDRUREpmjnkRGuamnlmuYtvGFomI1FhTxVXLxdnX0v0iplmZqs7yncgdhuJvGTKzaGx50nuG5FQl0REZHMSjKk/Pb+AQ7Y1MT/VFVwdPe2WVF/LCriN8PHUVniGlKWSVvoQWFdeOyJO/d0eNzDzEpTrEDeN6GuiIhIZqUYUi4ETura9tdcrxn/vqiBMYOz2zs5sqeXfDSkLDu2YIePQ8eHxydiJ9z9VeApoAhYnXiBmR0CLCfY7eTROWijiIhI2nTm57FiZJj2/Hy+2lDHR5Yu5slwaHmfr9+vIWVJKat7Cs1sL4IA7tfx+xSbWQHw6fAFcHnCpZcQJK6+zMwecfe/htc1AteEdS5NkuNQRERk/kgypLxsZJS1TVv4VXkZl9dW86fiIj62dBHv6enl7o4TWFYyqiFlSSqrg0LgDcAdQLuZ/QV4jSCNzJ7AUmCMYCu7e+MvcvfbzOxagi3tnjWzB4Bh4DCClDZ3AlfN1ZcQERGZlhRDygYc0dvHu/r6uSlSyY2RKu6rKOeVwkL+Z3PzeBoODSlLvGwPCv8PuBLYj2DhyEqCVDOvAT8Ernb3J5Nd6O5nmtnvgbOAQ4B8goUpNwLXqpdQRESyXak7Z3R2cXR3L1fUVnNET+94QNhnRrE7+1x4H9H+YSW+Fsx92un6BFi1apVv2LAh080QEREJfPONSRNfJ1pTV8vzxUWc097BvnF7Kw8Ua0h5ITOzJ919VbKybO8pFBERkXgphpTj9ZnxaGkJmwsLOHXJIg7r7ePz7Z2sGBnRkHIOU1AoIiKSY8rcuXNTE2vD+YbrystYX1bKSV3dnN4Z5bM//APPN3fTHB3QsHIO0fDxDGn4WERE5r0JhpRb8vP5bk2EuyvKcTNqRkf5xWtNRMa2n1qvYeWFQcPHIiIiuWyCIeVFo6N8Y2s7J3Z1883aGhaNjm4XEDpgaKVyLlBQKCIiIrxlaJgbm7cwYDZ+7vGSYq6vjvCF9g7ePDT8urmJlDcmDzglKy30HU1EREQkmfLG150ygjQ2Md+vjvCH0hJOWLqYL9fX0pyfv/0Fk1jlLNlDPYUiIiK5KFUPX1xv4Le3bOX66ipuqark7soK7isv46Nd3ZzW2UW51iQsOFpoMkNaaCIiIgtK4hAx8GpBAVfURLivohyA2tFRrmxpZa/BoddfryHleW2ihSYaPhYREZFtkgwrrxgZ4dutbfz35mbeNjDICLDL8HDy6zWknLXUUzhD6ikUEZEFL6730IHXCgpYMTICwKDBV+rr+Gi0mz2Hgp7Dg0vuYHNnv3IczkNKSSMiIiLTV9443gNoMB4QAvy0spJfV5Tz64py3tvTy6c7ojw8cDSUAAPAXTBwj3IcZgMFhSIiIjKxCfIcHt3TQ0d+HjdXVXJPRTkPlJfx4a5uTu/soibMd6gch9lBcwpFRERk2qrGnM90RPnf15r4UHcPo8DNkSrev2Ipt4cLUwAOunQdu5z3Sw6+9Dfc+fSmzDVYUlJPoYiIiExd3JAywOLRUS7a2s7JXd1cXlPNw2Wl26WteWTgGA0pz3MKCkVERGTqUgwp7z40zHUtrTxTXMTb4lLW3FRVyc4jIxza169t8+YpBYUiIiKSdvE5DF8tyOfK2mpGzFg5MMBn2ztZOTjE/hc/wJauQa1SnicUFIqIiEh6JAwpxyweGeUL7R18rzrC0yUlnLx0MYf29vHjjg+zW8mwhpTnCQWFIiIikh4phpQLgZO6ejiyu5e1kSrWRip5qLyM35aV8qGeXr66tZ0CNKScaQoKRUREZE5UuHNWZ5QTurr5Xk2E2yor6MrL2z4YSdxmT9vmzRkFhSIiIjJ7kgwp14+N8eW2Dj4a7cbYtkL5meIiHist4eRoN2WxlcvaNm/OKCgUERGR2TNB4uud4nZGceDy2mqeKinhJ1WVnN4ZZXVXD0Vz1ExRUCgiIiLzgAH/1hHlihrj/5UUc2ldLf9dVcWZnVGOWBMhP76yhpRnhXY0ERERkblV3pj09L4Dg9zc1MIVLa38w9AQmwoL+HJDHccuW8yfiwq3VdSQ8qxQT6GIiIjMrQmGlA04rK+fQ/v6+WVFOVdXR2gqKKBhZHS76msfeYnrf/sSmzv7lecwTRQUioiISOYlLEjJBz7U08t7e3r5c1ERtWNjAAwDX62v44T1+/Hw4JC2zksjBYUiIiKSeSl6D4uAPYe27Y5yR2UFv6gs5xeV5Rza28e/dUTZfXgYUJ7DmVJQKCIiIlnj8N5emgvyubkqSIC9vqyU9/b2cWZHlDeMjCjP4QxooYmIiIjMT0kWpETGnE93RPnVq5s5KdpNAfDrinKOWr6E71ZHXn8PLUqZNPUUioiIyPyUqodvTYT6sTHOa+/glGgX36uOcGdlOcvj8h7K1CkoFBERkay1ZHSUNW3tnBbtYklcUHhVdYT+POPUzi7qNKQ8KRo+FhERkeySZFh5xcjIeE9Xtxk/ilTyo0gV71uxlCtrIkTz4kIeDSknZe6+41qS0qpVq3zDhg2ZboaIiEhuS+gN/FNRIVfXVLO+rBSAirExPhrt5qPRLiqTxT450ntoZk+6+6pkZeopFBERkeyX0Hv45qFhrmpp5ebNzRzY309PXh7X1kR474qltOYnCX/Ue6g5hSIiIrIApMhz+LbBIa5vbmVDSTFXV0coxGkYHRuvMgwUvv7KnKSgUERERBa8VQOD3Ni8hX6z8XPPFRVy1qJGPh7t4vjuHkpzfEGKho9FRERkYUoYUjagLG4+4a8rymkryOdbdTW8f/lSbq6qZCAuaMy1IWUtNJkhLTQRERHJInG9gQ78rrSEq2siPF9cDEDDyAinRbs4truXEncOLrmDzZ39LK0u5ZzDd+eolcsy1PD0mGihiYaPRUREJHeUN473ABrwjv4B3t4/wPrSUq6pifCn4iIuraulJb+Az3V08vDA0VACDAB3wcA9dZSc//dMfoNZo6BQREREckeSOYK2JsKh/f0c0t/Pg2Wl3BCp4sSu7vHyjQUFLBkdodihZLBtLls7pxQUioiIiBD0HL6rr5939fWPnxsFzl7UQE+ecWpsWHmBLkjRQhMRERHJbUl2SInZmp9PkTtbCgq4tK6W9y9fsmAXpGihyQxpoYmIiMgClLAg5cGyUq6rDuYcAtSPjPLxaBcndHdT7MCaaGbaOUVaaCIiIiIyTbFh5Xf29fNQWSnXhsHhTZFKTugO5x4ugCFlBYUiIiIiieJWKccY8M6+fg7t6+e3pSUMmAW9hEBXnnF7ZQXHd/VQ7p6VQ8o5P3xsZicCZwBvBfKBF4AfAte6+9hE14KGj0VERHJGYm9gnGurq7impprI6Cj/0tXNiV3dVI0libEy3IM40fBxTi80MbOrgR8Dq4DfAfcDbwKuAm4zs/wMNk9ERETmkwkWpOwzMMjeAwNE8/O5uqaaw1cs47vVETrzEkKtedyDmLM9hWZ2LHAb0Ay8w91fDM8vAh4E3gx8xt2vnOg+6ikUERHJYQkLUjaUFHNddYQ/lJYAUDY2xjntHRzX3Rt3TeYWpWihSXLnh8dzYwEhgLu3mNkZwEPAeWb23ckMI4uIiEhuM2DfgUH2bd7C08VFfK86wsNlpSwZGR2v4wTJsrczTxal5GRQaGbLgX2AIeDWxHJ3X29mm4BlwAHAI3PbQhEREckKSRakAKwcHOK6llb+XFTIm4aGx89/pb6WIndOjXaxPBYszpMh5ZwMCoGV4fE5d+9PUecJgqBwJQoKRUREJJlUPXxhb+DucQHh1vw8fllRzogZP6+s4IieXk6LdrHr8Mi8SGmTqwtNdgmPL09Q55WEuiIiIiKTk2RRSv3oGLdvauKD4fzCuysrOGrZEj7fUMcLRYXbV85A72Gu9hRWhMfeCer0hMfKWW6LiIiILDTJevnWRNh1eISLt7ZxRmcnP4xUcWdlBfdVlLOuvIwHXt1E/WjmljHkalAY27BwWkuvzex04HSAnXbaKV1tEhERkRyxYmSUC9o6+NfOLm6KBHspZzIghNwNCsM9acZ7DJOJlXUnFrj79cD1EKSkSW/TREREZEFKsihl0ego57Z3ZqhB28vVoHBjeNx5gjorEuqKiIiITF+KIeX5IlcXmjwdHvcws9IUdfZNqCsiIiKSXql2SZlg95TZkpM9he7+qpk9BewNrAZ+FF9uZocAywl2O3l07lsoIiIiOWEeJK2OydWeQoBLwuNlZrZb7KSZNQLXhG8v1W4mIiIikgtysqcQwN1vM7NrgTOAZ83sAWAYOAyoAu4ErspgE0VERETmTM4GhQDufqaZ/R44CzgEyAdeAG4ErlUvoYiIiOSKnA4KAdz9FuCWTLdDREREJJNyeU6hiIiIiIQUFIqIiIiIgkIRERERUVAoIiIiIigoFBEREREUFIqIiIgICgpFREREBAWFIiIiIoKCQhERERFBQaGIiIiIoKBQRERERFBQKCIiIiIoKBQRERERFBSKiIiICAoKRURERAQFhSIiIiICmLtnug1ZzcxagZfn4KPqga1z8Dkyv+i55y49+9ylZ5+75uLZ7+zuDckKFBRmCTPb4O6rMt0OmVt67rlLzz536dnnrkw/ew0fi4iIiIiCQhERERFRUJhNrs90AyQj9Nxzl5597tKzz10ZffaaUygiIiIi6ikUEREREQWFGWFmJ5rZ78wsamY9ZrbBzM4ys0k/DzMrNLPDzOzbZvaYmTWZ2ZCZbTKz28zs0Fn8CjIN6XjuE9z7YjPz8PWFdLRX0ifdz97MSs3si2b2hJl1mlmfmb1kZrea2cHpbr9MXzqfvZktN7PvmtmfzazfzAbM7EUzu87Mdp2N9svUmdnuZna2md1sZi+Y2Vj4u/m4Gd531v4OGf8MDR/PLTO7GjgTGADWAcPAYUAlcAew2t1HJ3GffwbuD982A08CvcBbgH8Mz3/d3S9I6xeQaUnXc09x732BRwn+kWfAOe7+rXS0W2Yu3c/ezHYB7gN2A7YAjwGDwBuAvYCvufs30vgVZJrS+ezNbCXwG6AaeI3gdz7AKmAZ0AMc7u6PpPM7yNSZ2RXA2UmKVrv7bdO856z9HbIdd9drjl7AsYADTcAb484vAp4Py86e5L3eBdwGvD1J2QnASHi/d2b6e+f6K53PPcm9i4HngE3hLwYHvpDp76zX7Dx7oBz4a3jd14DChPI64E2Z/t56zcqzfyS85vr45w4UAjeEZf+X6e+tlwN8AvhP4HjgH4CHwudz3Hz4f2nCz8r0Dy+XXsCG8OGdnKTskLiHnpeGz/pBeL8bMv29c/01m88duCy8/oPATQoK59cr3c8euCS8Zm2mv5tec/fsgZKwvgOLk5QvjSsvy/R31+t1z2emQeGcxQ6aUzhHzGw5sA8wBNyaWO7u6wl6exYDB6ThI58Oj8vTcC+Zptl87ma2P/B54BZ3/8XMWyvplO5nb2ZFwCfDt5emr6WSbrPw536UYPQHgikir7tleOwF+qfaXpm/5jp2UFA4d1aGx+fcPdUf2icS6s7EG8NjUxruJdM3K8/dzEqAtUA7yeeuSOal+9nvQzA8/Kq7/8nMDgoXGH3PzC40swNn2mBJm7Q+e3cfJphHBnChmRXGysL/js0hvcHD7iNZMOY0diiY6Q1k0nYJjy9PUOeVhLrTYmaLgY+Fb2+fyb1kxmbruV8E7A582N1ne/N0mZ50P/s9w+OLZnYTcEpC+QVmdjvw0Qn+8pC5MRt/7s8E7iHoLX6fmW0Iz+8L1ABXAudMsZ0y/81Z7AAKCudSRXjsnaBOT3isnO6HmFkBcDMQAdZpWDHj0v7czewg4DPAne7+sxm0TWZXup99bXh8B5APfAu4DmgLz11DMCG9Czh1qo2VtEr7n3t3/3v4Z/9HwPvYfmrQBuC3YY+iLCxzEjvEaPh47sTmgcx21/51BMvUXwX+ZZY/S3Ysrc/dzEqBHxL8xX9mOu4psybdf+Zjv68LCIYJz3H3v7l7p7vfDRwVftYpylmXcWn/fR8GhH8kSEV0JFAPNBA89xrgdjNTCrKFZ65iB0BB4VzqDo8VE9SJlXVPUCclM7sSOI0gb+Fh7t48nftIWqX7uV8MvAn4nLtrvuj8lu5nH1/n+4mF7r6BIHddHnDoJO4nsyetz97MqoE7CXqC3uvud7t7m7tvdfe7gPcSLDD5ipm9caJ7SdaZ9dghnoLCubMxPO48QZ0VCXUnzcy+DXwaaCUICF+c6j1kVmwMj+l67kcDYwS9QQ/Fvwj+YgA4Izz3g2m0V9JnY3hM17OPr/NSijqx84sncT+ZPRvDY7qe/REEvYKPufvfEwvd/a/A4wS9yIdOtpGSFTaGx1mJHRJpTuHciaWI2cPMSlNMBN83oe6kmNl/Ap8jmFv0bnd/fvrNlDSbjeeeR5CbKpVdw1f1JO8nsyPdz/6puP+uI/gHYKL68NiTpEzmTrqf/U7hMTpBnc7wWDtBHck+sxY7JKOewjni7q8S/FIvAlYnlpvZIQQTh5sJtiybFDO7lGDFWQdBQPh/aWmwpEW6n7u7v8HdLdmLIEUNBNvcmbvvlb5vIlM1C89+E0FvEATzhhPvVwPsHb7dkFguc2cWft9vDo/7xKejibtfIUHKIkjdiyxZaLZih1QUFM6tS8LjZWa2W+ykmTUSrBwEuNTdx+LKLgk31L6EBGb2deBcgn8hvtvdZ/yvBJkVaX3uklXS/ewvCo8XmNlecdeUANcSZB14kjT85SAzls5n/2ugj6DH8HIzK467phj4DsEQYgdwb9q/icy6Hfy5n/L/S9Ol4eM55O63mdm1wBnAs2b2ANs2ta4imEh8VcJlSwjy0S2JP2lmHwL+I3z7V+DfzZIluucFd9fuBxmUzucu2SXdz97df2Fm3wK+ADxuZo8TTBvZj2Crs03AR5TAOPPS+ezdfYuZnUmwx/FZwNFm9iTBytR9wvqDwKnuPtEQs8wBM9ubbcEawFvC48Vm9oXYSXeP34Fkoj/30/l/aVoUFM4xdz/TzH5P8Af7EIJ8Yy8ANwLXTiHSj583sip8JbMebYmVcWl87pJl0v3s3f0cM3sE+HeCHQzKCJLX/hdBb0GyuYaSAel89u6+1syeJchR+nbgPWHRJoJg8b80n3zeqAL2T3J+2ivD5+rvENM/KEVEREREcwpFREREREGhiIiIiCgoFBEREREUFIqIiIgICgpFREREBAWFIiIiIoKCQhERERFBQaGIzCNmtsLMfmxmm81sxMzczK5IUu+zYdnJc9CmPDM7y8w2mFmPmUXN7Hdm9pEZ3veE8Dt8Kl1tnWY71oTtWDONa28Kr/1Y+luWPmZWZmZNZvaEpdj6SUQUFIrIPBH+ZX07cCLBHq4/A9YCf0hS/RhgBPjfWW5TPnAHwRZSbwTuA34P7AvcYmbfmeZ9S4FvAn8j2I1i3jGzQ8OA76FMt2Wm3L2PYN/oVcCs/0NCJFtpmzsRmS/eQBBsvQK8zd1HklUys0XAQcBv3L19ltv0GeBDwPPAu9y9JWzDG4HfEew5vs7d75rifT8LrABOc/fhdDZ4Gq4CfgpszXA7Ztv1wJcJ9p/9ibsPZbpBIvONegpFZL5YER5fShUQho4i+N11x2w2Juwl/GL49oxYQAjg7i8C54ZvvzzF+xYQ7F/aQ9AbmlHuvtXdX3D3BR0UhkHgzcBSYHWGmyMyLykoFJEpC4cVPfzvj4Xz7XrNrNnMbjCzhrCsxMwuNLO/mNmAmb1iZheZWWHcvd4Q3mt9eOqQ2P1jn5HgGMCBO+PuMT4vzsyWh3Pdmsysz8yeMrPj4uoebGa/MrO2sPxBM9s3yeccCDQCr7n7b5OU3woMA/ua2bIp/PiOJghMbnP33sRCM3so/C6HJrs41Ty++PNmtpuZ3WJmLWY2aGYvmNm5Zva63/nJ5hSGQ8YPhm+3ex5TGU42s/3N7Kdm9pqZDZlZq5ndbWb/lKL+7ma21sxeDut3m9lGM7vDzI5NqJtvZp8ys0fCeZ5D4fd9ysy+Hft/MMHa8HjmZL+DSC7R8LGITJuZXUYwxLoeuIdgWPdUYJWZHQzcC7w5LP8rcAjwJaABOD28TQ/BX9aLgcOBlvBeyT4vArwTeMzdNyepsjPwZHjP9cBy4GDgf8zsRGCQoHfuGeB+4G3AocCDZra3u/8l7l4rw+MTydri7n1m9hywV/jalKxeEkeFxwcmWX+q9gKuJBgOfhBYBPwTcCnBz+PfJ3GPe4ABkj+PFybTCDP7PMG8SYCngEfDzz8COMLMPuXu34+rvyfwMFAZfsYvCIL/ZWE7SgnmnMbcAJwC9BPM89wK1AP/AHyOIGhvjW+Tu//RzFqAA82swd23KxfJee6ul1566TWlF8Ff1g40A2+OO19D8Be6A88SzLuLxJXvRdC7NgbsnHDPQ8PrHprgc/8lrHNOwvk1cW26AsiPKzsjPP8q0A6sjivLI5hP58ANCff8r/D85RO0566wzr9N4Wf3WnjNrinKHwrLD01RflNY/rEU5z38eeTFlb0DGA1fK1L87NZM43mkast7w/ObgP0Tyg4GosAQ8Ka48zeG15yf5HMqgAPj3u8c1n0FWJSk/l5AY4o23xFee3ym/xzppdd8e2n4WERm4gJ3/1Psjbt3ANeFb98CnO7u0bjyZ4BfAUbQazhVx4THn6cofxn4oruPxp27Hmgj6KW6x91vjWvPGHBZ+PadCfeqCI+vG+KN0xMeK3fQbgDCIc1lwKC7/30y10zDE8CF4XcDwIPh73sJguDE7zkbLgyPn3D3x+ML3P1h4OtAIfCvcUWLwuOvE2/m7j3u/mjcqcbw+JTHzfWMq/+Mu29J0bbnw+PKFOUiOUtBoYjMRLJh3r+Gx5fjA8Y4L4bHpVP5IDMrIxhGfNbd/5ai2m88YVVpGCBunKC9qdoTy2eXbF7jdMWCmdlcNf0rd0/W5tiw75R+7lNlZvUEq8i7CFL4JBObP3pg3LlY6qHrzOzdZlY8wce8AHQTDEN/ycx2nkITYz/7RRPWEslBCgpFZCZeS3KuZ4Ky+PKSKX7We4EyUvcSTuYzX1fu7rGyxCCkOzxWkFqsrHuCOvEi4bFrkvWn45UU52OfOdWf+1TtQhBQVwGxBOTbvdgWAMYvBvkmsA7YnyCYjJrZY2Z2WTjfcJy7dxPMXe0nyD+4MVzMcmu40Gai7xj7OVTP9IuKLDRaaCIi0xY/RJnERGXTsaOh48l85lTatDE8TtQLFUujs3GCOvE6w2PVFNqRaEf/mE/3z32q8sNjlLgV4imMp8HxIMH0P5vZ/gT/ADiYoCdxf+CLZvZVd/9aXP3bzOwB4EiCOZMHA8eFrzVm9nZ3fzXJZ8Z+9h1T/mYiC5yCQhGZ98IUNkcAf3f3/zdHH/tUeEyWriY2nP2P4dunJ3nP2Dy3ugnqxIa/U/VQTmWoNBNigdiwu39sqheHcxAfBzCzIoIdbr5PEOj9zN3/HFe3k2Dl+tqw/j+Edd9JMFf0xCQfEfvZp5pzKJKzNHwsItngXQTDfRP1EqbbowSBw3Ize0eS8tUEiyWecPdJpaPxIEH0q0BRGMAkE7vX/5dYYMFuLntP5rPSIBacTqnzIPxZPAvUp8q1OIV7Dbn7TcBjBEPSb91B/b8RDCdDkG4ombeEx6dSlIvkLAWFIpINYkPHs7qLSbxwgUosz961ZhZbJBLb5u7S8O1FidfuQCwp9IEpyteFx7PMbEncZ9YS9IhNNMcxnWLB6W4W7MIyFV8Jjzeb2XsSC82syMw+ZGYHxp0708x2T1J3V2CP8O3L4bmVZnaCBXtIJ/pgfN0kDiBMtTOpbyKSQzR8LCLzWrgLx5FAE0Hv3Vy6nGC+2geBF81sHUHv4D8TLNj4rk993+M7gZPDe9ycpPx/CJIvrwSeM7OHgSKCYezN4fVHJbkurdz9ZTN7OmzH/zOzJwmSf//Z3b+5g2vvCpNX/ydwr5n9BfgzQe/jCmB3gkU3Z7DtmZ4OXG1mfwf+SLA4aDFB4u0i4KfuHlugsjNBfsk+M3uKsPc1bOuuBAt/LkhsV7hgZRHwiCtxtcjrqKdQROa7gwn+Ir8zRaqVWRP2Fh5FsAvIXwlS4hxCsGvKSe7+6Wnc9m6CVdDHmll5ks8cIggYryVYXXs4wVDyWoIdY6KJ18yiYwiC1FrgI8BpBHM7d8jd/wvYh2DnkXzg3QTfpYYgJc0nw3vH/AfwPYLVwQcRLBh5Y1j3eOCkuLqPAecDvyXIP3kUwc+sD/g2sKe7b0jSrFPC4zWT+Q4iucbm+HesiMiUmNnlBFvpvcfd7890e9LBzM4DLgFOc/cbM92eXBAuWnmZYHX2Lon5LEVEPYUiMv/9iWArtgd3UC88czLPAAAAdklEQVSbXEmQT/BL4cpqmX2nEwxHf0kBoUhy6ikUEckAMzse+Blwhrtft6P6Mn1h+qC/EQzb7zfX0xBEsoWCQhERERHR8LGIiIiIKCgUERERERQUioiIiAgKCkVEREQEBYUiIiIigoJCEREREUFBoYiIiIgA/z+/PSnhkbdcJwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10,10))\n",
"plt.plot(mf_m0,v_tsio,'o-',label='Tsiolkovsky Solution')\n",
"plt.plot(mf_m0,num_eul[:,1],'s-',label='Explicit Euler Method')\n",
"plt.plot(mf_m0, num_heun[:, 1], linewidth=2, linestyle='--', label='Implicit Heun Method')\n",
"plt.legend();\n",
"plt.xlabel('mf/m0 (unitless)')\n",
"plt.ylabel('Velocity (m/s)')\n",
"plt.title('Rocket Velocity vs Mass Ratio');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"2. You should have a converged solution for integrating `simplerocket`. Now, create a more relastic function, `rocket` that incorporates gravity and drag and returns the velocity, $v$, the acceleration, $a$, and the mass rate change $\\frac{dm}{dt}$, as a function of the $state = [position,~velocity,~mass] = [y,~v,~m]$ using eqn (1). Where the mass rate change $\\frac{dm}{dt}$ and the propellent speed $u$ are constants. The average velocity of gun powder propellent used in firework rockets is $u=250$ m/s [3,4]. \n",
"\n",
"$\\frac{d~state}{dt} = f(state)$\n",
"\n",
"$\\left[\\begin{array}{c} v\\\\a\\\\ \\frac{dm}{dt} \\end{array}\\right] = \n",
"\\left[\\begin{array}{c} v\\\\ \\frac{u}{m}\\frac{dm}{dt}-g-\\frac{c}{m}v^2 \\\\ \\frac{dm}{dt} \\end{array}\\right]$\n",
"\n",
"Use [two integration methods](../notebooks/03_Get_Oscillations.ipynb) to integrate the `rocket` function, one explicit method and one implicit method. Demonstrate that the solutions converge to equation (2.b) the Tsiolkovsky equation. Use an initial state of y=0 m, v=0 m/s, and m=0.25 kg. \n",
"\n",
"Integrate the function until mass, $m_{f}=0.05~kg$, using a mass rate change of $\\frac{dm}{dt}=0.05$ kg/s, . \n",
"\n",
"Compare solutions between the `simplerocket` and `rocket` integration, what is the height reached when the mass reaches $m_{f} = 0.05~kg?$\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def rocket(state,dmdt=0.05, u=250,c=0.18e-3):\n",
" '''Computes the right-hand side of the differential equation\n",
" for the acceleration of a rocket, with drag, in SI units.\n",
" \n",
" Arguments\n",
" ---------- \n",
" state : array of three dependent variables [y v m]^T\n",
" dmdt : mass rate change of rocket in kilograms/s default set to 0.05 kg/s\n",
" u : speed of propellent expelled (default is 250 m/s)\n",
" c : drag constant for a rocket set to 0.18e-3 kg/m\n",
" Returns\n",
" -------\n",
" derivs: array of three derivatives [v (u/m*dmdt-g-c/mv^2) -dmdt]^T\n",
" '''\n",
" dstate = np.array([state[1], (u/state[2])*dmdt-g-c/state[2]*state[1]**2, -dmdt]) \n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"g = 9.81\n",
"T_2 = (m_0-m_f)/dmdt # simulation time, in number of seconds\n",
"N_heun_2 = 100\n",
"N_eul_2 = 100\n",
"\n",
"# time array\n",
"t_heun_2 = np.linspace(0, T_2, N_heun_2)\n",
"t_eul_2 = np.linspace(0, T_2, N_eul_2)\n",
"\n",
"#initialize solution array\n",
"num_heun_2 = np.zeros([N_heun_2,3])\n",
"num_eul_2 = np.zeros([N_eul_2,3])\n",
"\n",
"#time step\n",
"dt_heun_2 = T_2/N_heun_2\n",
"dt_eul_2 = T_2/N_eul_2\n",
"\n",
"#Set intial conditions\n",
"num_heun_2[0,0] = y_0\n",
"num_heun_2[0,1] = v_0\n",
"num_heun_2[0,2] = m_0\n",
"num_eul_2[0,0] = y_0\n",
"num_eul_2[0,1] = v_0\n",
"num_eul_2[0,2] = m_0\n",
"for i in range(N_heun_2-1):\n",
" num_heun_2[i+1] = heun_step(num_heun_2[i], rocket, dt_heun_2)\n",
"for j in range(N_eul_2-1):\n",
" num_eul_2[j+1] = eulerstep(num_eul_2[j], rocket, dt_eul_2)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10,10))\n",
"plt.plot(mf_m0,v_tsio,'o-',label='Tsiolkovsky Solution')\n",
"plt.plot(mf_m0,num_eul_2[:,1],'s-',label='Explicit Euler Method')\n",
"plt.plot(mf_m0, num_heun_2[:, 1], linewidth=2, linestyle='--', label='Implicit Heun Method')\n",
"plt.legend();\n",
"plt.xlabel('mf/m0 (unitless)')\n",
"plt.ylabel('Velocity (m/s)')\n",
"plt.title('Rocket Velocity vs Mass Ratio with Gravity and Drag');"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10,10))\n",
"plt.plot(mf_m0,num_eul_2[:,0],'s-',label='Explicit Euler Method with drag')\n",
"plt.plot(mf_m0, num_heun_2[:, 0], linewidth=2, linestyle='--', label='Implicit Heun Method with drag')\n",
"plt.plot(mf_m0,num_eul[:,0],'s-',label='Explicit Euler Method without drag')\n",
"plt.plot(mf_m0, num_heun[:, 0], linewidth=2, linestyle='--', label='Implicit Heun Method without drag')\n",
"plt.legend();\n",
"plt.xlabel('mf/m0 (unitless)')\n",
"plt.ylabel('Position (m)')\n",
"plt.title('Rocket Height vs Mass Ratio Method Comparison');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The m_f value reaches its final 0.05 kg value at the left most point of the graph when mf/m0=0.2. When drag and gravity are applied the maximum height the rocket reaches is about 410 meters. However, when drag and gravity are not applied the rocket reaches a maximum height of about 580 meters at the same mf/m0 value on the graph above."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. Solve for the mass change rate that results in detonation at a height of 300 meters. Create a function `f_dm` that returns the final height of the firework when it reaches $m_{f}=0.05~kg$. The inputs should be \n",
"\n",
"$f_{m}= f_{m}(\\frac{dm}{dt},~parameters)$\n",
"\n",
"where $\\frac{dm}{dt}$ is the variable we are using to find a root and $parameters$ are the known values, `m0=0.25, c=0.18e-3, u=250`. When $f_{m}(\\frac{dm}{dt}) = 0$, we have found the correct root. \n",
"\n",
"Plot the height as a function of time and use a star to denote detonation at the correct height with a `'*'`-marker\n",
"\n",
"Approach the solution in two steps, use the incremental search [`incsearch`](../notebooks/04_Getting_to_the_root.ipynb) with 5-10 sub-intervals _we want to limit the number of times we call the function_. Then, use the modified secant method to find the true root of the function.\n",
"\n",
"a. Use the incremental search to find the two closest mass change rates within the interval $\\frac{dm}{dt}=0.05-0.4~kg/s.$\n",
"\n",
"b. Use the modified secant method to find the root of the function $f_{m}$.\n",
"\n",
"c. Plot your solution for the height as a function of time and indicate the detonation with a `*`-marker."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"ename": "IndentationError",
"evalue": "unindent does not match any outer indentation level (<tokenize>, line 18)",
"output_type": "error",
"traceback": [
"\u001b[0;36m File \u001b[0;32m\"<tokenize>\"\u001b[0;36m, line \u001b[0;32m18\u001b[0m\n\u001b[0;31m height_f = 300\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mIndentationError\u001b[0m\u001b[0;31m:\u001b[0m unindent does not match any outer indentation level\n"
]
}
],
"source": [
"def f_m(dmdt,m_0=0.25, c=0.18e-3, u=250):\n",
" ''' define a function f_m(dmdt) that returns \n",
" height_desired-height_predicted[-1]\n",
" here, the time span is based upon the value of dmdt\n",
" \n",
" arguments:\n",
" ---------\n",
" dmdt: the unknown mass change rate\n",
" m0: the known initial mass\n",
" c: the known drag in kg/m\n",
" u: the known speed of the propellent\n",
" \n",
" returns:\n",
" --------\n",
" error: the difference between height_desired and height_predicted[-1]\n",
" when f_m(dmdt)= 0, the correct mass change rate was chosen\n",
" '''\n",
" height_f = 300\n",
" m_f = 0.05\n",
" T = (m_0 - m_f)/dmdt\n",
" N = 100\n",
" dt = T/N\n",
" y_0 = 0\n",
" v_0 = 0\n",
" t=np.linspace(0,T,N)\n",
" num_heun_3 = np.zeros([N,3])\n",
" num_heun_3[0,0] = y_0\n",
" num_heun_3[0,1] = v_0\n",
" num_heun_3[0,2] = m_0\n",
" \n",
" for i in range(N-1):\n",
" num_heun_3[i+1] = heun_step(num_heun_3[i], rocket, dt)\n",
" \n",
" height_guess = num_heun_3[N-1,0]\n",
" error = height_guess - height_f\n",
" return error"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"def incsearch(func,xmin,xmax,ns=100):\n",
" x = np.linspace(xmin,xmax,ns)\n",
" f = np.zeros(ns)\n",
" for i in range(ns):\n",
" f[i]=func(x[i])\n",
" sign_f = np.sign(f)\n",
" delta_sign_f = sign_f[1:]-sign_f[0:-1]\n",
" i_zeros = np.nonzero(delta_sign_f!=0)\n",
" nb = len(i_zeros[0])\n",
" xb = np.block([[ x[i_zeros[0]+1]],[x[i_zeros[0]] ]] )\n",
" if nb==0:\n",
" print('no brackets found\\n')\n",
" print('check interval or increase ns\\n')\n",
" else:\n",
" print('number of brackets: {}\\n'.format(nb))\n",
" return xb\n",
"def mod_secant(func,dx,x0,es=0.0001,maxit=50):\n",
" iter = 0;\n",
" xr=x0\n",
" for iter in range(0,maxit):\n",
" xrold = xr;\n",
" dfunc=(func(xr+dx)-func(xr))/dx;\n",
" xr = xr - func(xr)/dfunc;\n",
" if xr != 0:\n",
" ea = abs((xr - xrold)/xr) * 100;\n",
" else:\n",
" ea = abs((xr - xrold)/1) * 100;\n",
" if ea <= es:\n",
" break\n",
" return xr,[func(xr),ea,iter]"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of brackets: 1\n",
"\n",
"[[0.06060606]\n",
" [0.05707071]]\n"
]
}
],
"source": [
"#Problem 3a\n",
"minimum = 0.05\n",
"maximum = 0.4\n",
"yb = incsearch(lambda dmdt: f_m(dmdt,m_0=0.25, c=0.18e-3, u=250),minimum,maximum,ns=100)\n",
"print(yb)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.05817733405347353 is the desired mass flow rate\n",
"-1.0201753184446716e-06 is the error\n"
]
}
],
"source": [
"#Problem 3b\n",
"dmdt3b,out = mod_secant(f_m,0.01,minimum,es=0.000001)\n",
"print(dmdt3b, 'is the desired mass flow rate')\n",
"print(f_m(dmdt3b), 'is the error')"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [],
"source": [
"#Problem 3c\n",
"def rocket_3(state,dmdt=0.05, u=250,c=0.18e-3):\n",
" '''Computes the right-hand side of the differential equation\n",
" for the acceleration of a rocket, with drag, in SI units.\n",
" \n",
" Arguments\n",
" ---------- \n",
" state : array of three dependent variables [y v m]^T\n",
" dmdt : mass rate change of rocket in kilograms/s default set to 0.05 kg/s\n",
" u : speed of propellent expelled (default is 250 m/s)\n",
" c : drag constant for a rocket set to 0.18e-3 kg/m\n",
" Returns\n",
" -------\n",
" derivs: array of three derivatives [v (u/m*dmdt-g-c/mv^2) -dmdt]^T\n",
" '''\n",
" dstate = np.array([state[1], (u/state[2])*dmdt-g-c/state[2]*state[1]**2, -dmdt]) \n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"g = 9.81\n",
"dmdt3b = 0.05817733405\n",
"T_3c = (m_0-m_f)/dmdt3b # simulation time, in number of seconds\n",
"N_heun_3c = 100\n",
"N_eul_3c = 100\n",
"\n",
"# time array\n",
"t_heun_3c = np.linspace(0, T_3c, N_heun_3c)\n",
"t_eul_3c = np.linspace(0, T_3c, N_eul_3c)\n",
"\n",
"#initialize solution array\n",
"num_heun_3c = np.zeros([N_heun_3c,3])\n",
"num_eul_3c = np.zeros([N_eul_3c,3])\n",
"\n",
"#time step\n",
"dt_heun_3c = T_3c/N_heun_3c\n",
"dt_eul_3c = T_3c/N_eul_3c\n",
"\n",
"#Set intial conditions\n",
"num_heun_3c[0,0] = y_0\n",
"num_heun_3c[0,1] = v_0\n",
"num_heun_3c[0,2] = m_0\n",
"num_eul_3c[0,0] = y_0\n",
"num_eul_3c[0,1] = v_0\n",
"num_eul_3c[0,2] = m_0\n",
"for i in range(N_heun_3c-1):\n",
" num_heun_3c[i+1] = heun_step(num_heun_3c[i], rocket_3, dt_heun_3c)\n",
"for j in range(N_eul_2-1):\n",
" num_eul_3c[j+1] = eulerstep(num_eul_3c[j], rocket_3, dt_eul_3c)"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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4IGCi/udPUltBrFAoFGWKmkpWKBSKSoIQYgvaoorv0ewVb6Ht/NEP+DvagqRsoK2U0taeygqFQlEilGKoUCgUlQQhRBzagiNrZAPPSClX2UijUCgUJUYphgqFQlFJEEKEAUPRXALVQXNgno3mr28L8JmUMsVxEioUivsdpRiWEj8/P9mwYUNHi6FQKBQKhUJRJPv370+TUlrd8740nuwVQMOGDdm374F1paVQKBQKheIeQgjxm614tSpZoVAoFAqFQgEoxVChUCgUCoVCoUcphgqFQqFQKBQKQCmGCoVCoVAoFAo9SjFUKBQKhUKhUABKMVQoFAqFQqFQ6FGKoUKhUCgUCoUCUIqhQqFQKBQKhUKPUgwVCoVCoVAoFIDa+aTCkVJy8+ZNMjIyyMrKIj8/39EiKRQKheIBxtnZmYceeghvb2+qVq2KEMLRIikciFIMKxApJX/88QeZmZlUr16d2rVr4+zsrG5ChUKhUDgEKSX5+fncunWLtLQ0bt++jb+/v3ouPcAoxbACuXnzJpmZmQQEBODs7OxocRQKhULxgCOEwMXFhWrVqlG1alV+++03bt68ibe3t6NFUzgIZWNYgWRkZFC9enWlFCoUCoWi0uHs7Ez16tXJyMhwtCgKB6IUwwokKysLLy8vR4uhUCgUCoVFvLy8yMrKcrQYCgeiFMMKJD8/X40WKhQKhaLS4uzsrBZFPuBUGsVQCDFBCLFcCJEkhLgqhMgVQlwRQmwRQowUNixhhRDPCiF2CCHShRC3hBD7hBBRQgib9StpvtKgDHoVCoVCUVlRzyhFZVp8MhnwB44Cu4BMIACIACKBp4QQQ6SUOtNMQoh5wCtANhAD5OrTzwUihRDDpJSFXn9Kmk+hUCgUCoXifqUyKYYjgINSykzTQCFEKzTF7UlgFLDYJG4omnL3O9BNSnlKH14LiAUGA+OBzwuUWaJ8CoVCoVAoFPczlWYqWUoZX1Ap1IcfA+bpfz5eIPot/edkg3Knz3MZeFn/c4qFqeGS5lOUMw0bNkQIUeQRFxfnMBkNMhSke/fuZSJbdHQ0QghGjx5dqnIKMm3aNLvatqzOO3r0aIQQREdHl0l5pcVwfYQQPPPMMzbTTp061Zi2YcOGFSMgd/t/cnJyhZ3TGuXVD+0hLi4OIQTdu3cvdl5DP582bVqZy1WZzqlQlBeVacTQFnn6z2xDgBCiHhAM3AF+KJhBSrlNCHEBqAuEoE1PlzifomLp3bs3tWvXthpvK+5+JTk5mUaNGhEQEFAqxaFJkyZ06dLFarytuPuFVatWcePGDapVq1YoTqfTsXTp0jI/Z3R0NGPGjGHUqFGVRlm+FzG8lEkpHSyJQnF/UukVQyFEI2Cc/udak6h2+s9jUsrbVrInoil47bir4JU0n6ICmTJlSolGCxzJkiVLyMrKokGDBqUqZ/DgwYSEhODj41NGkpnTpUuXB1ox6dChA/v27eP7779n3LhxheK3bNlCamoqHTt2JDEx0QESKh577DGSkpJ46KGHHC2KQlFhXMm6wqTtk/gk/BP8PP0cJkelmyoVQowRQkQLIZYJIbYBvwL1gH9KKVeaJG2k//zNRnEpBdKWJp9CYZMGDRoQGBhY6oeZj48PgYGBPPzww2UkmcKU559/HmdnZ6vKsSHcEVOoCo2HHnqIwMDAUr9kKRT3EgsPL+TA5QMs+N8Ch8pR6RRDIAxtkcmzQDd92DvAewXSGTxFF7JLNOGW/rNqGeRTVEKklPTt2xchBC+++GKheJ1OR2RkJEIIxo8fbwxPTk422o/l5eUxffp0WrZsiYeHB7Vq1WLUqFGkpKQUKs8WRdkYbtq0iSFDhlCnTh3c3NyoXbs2YWFhzJgxg9u37w5eW7LtGj16NI0aae8pv/32m5lNYHnbwBVl91ZS28o9e/YwYsQI6tWrh5ubGzVr1mTgwIHEx8dbTG9q27lo0SI6deqEt7c3Qghu3Lhh93nr1KlDr1692LNnD0lJSWZx6enprFy5kqCgIB577DGb5WRmZjJz5kw6duyIt7c3np6etGrVimnTpnHr1i2ztA0bNmTMmDEAfPPNN3bZdG7evJnIyEh8fHx46KGHCAkJYc2aNVblSUtLY/LkyQQGBuLp6Ym3tzchISHMnz+fvLw8i3mklCxatIj27dvj6emJn58fgwYN4vDhwzbrbokVK1YghGD48OGF4oYMGYIQwqIJyPz58xFC8OqrrxrDLNkYGuz4DBS0jbXE5cuXeemll6hXrx7u7u40atSIKVOmkJ2dbTG9LXJzc/nkk08ICgrCw8OD2rVr8/zzz/Pbb9bHGExtD3/77TfGjBlDvXr1cHFx4bXXXjOWu3TpUp555hlatGhB1apVeeihhwgKCmLy5Mlcu3bNavnnzp1j5MiR+Pv7G/vfJ598Qn5+fqWyV1XYJvg/wbT+pjXLTy5HIll+cjmtv2lN8H+CHSJPpZtKllK+ALwghPBEG7EbA0wDnhZCPCGlvKhPavgnKK6hSUnz3S1AiBeBF4FK/Ubb4YPNpN26Uyjcz8uNfW8XXMdzbyKEYOnSpbRt25avvvqKHj16mC0seO+999i6dSvt2rXj008/tVjG8OHDWbduHd27d6dNmzbs3LmTJUuWsHHjRrZv306LFi1KJaOUkldeeYWFCxcC2lRmeHg4165dIykpiSlTpjB8+HCbCl6XLl24desWK1asoEqVKjz11FPGOD8/x005lJRPP/2USZMmAdC+fXtCQ0M5f/48P//8Mz///DMLFy7kL3/5i8W8EyZMYP78+YSFhdG/f39+/fXXYvteGzNmDBs2bCA6OpoZM2YYw7///nuys7ONSpw1zp8/T+/evTl+/Dg1a9YkNDQUDw8PEhMT+cc//sHKlSuJi4vD19cXgKeeeoqEhAR27txZyMbTkk3nokWL+PDDD+nYsSNPPPEEJ0+eZM+ePQwaNIjly5ebXX+A06dPExERQWpqKrVr12bAgAFkZWURGxtLVFQUK1euZN26dbi7u5vli4qKYsGCBTg7OxMeHo6/vz979+6lU6dORbZBQSIiInBycmLr1q1IKY3XRKfTGV8aLl++zJEjR2jdurUxX0xMDACRkZE2y2/bti2jRo3im2++AWDUqFE206emphIcHIyUks6dO5ORkUF8fDwzZszg+PHjNpXsguh0OoYMGcK6devw8PAgIiKCqlWrEhMTw4YNG+jXr5/N/KdOnaJdu3Z4eHgQFhZGXl6e0b718uXL/OlPf8LX15fAwEDatm1LRkYG+/btY+bMmfz444/s2bOn0H1+9OhR4/9IgwYNiIiI4MaNG7z99tvs3bvX7ropHM/GIRv5ZM3zbL2dSraTEx7OHkQ2iORvHf/mGIGklJX+AN5AU+R+MgmbqA9baSPf5/o0n5Q2n7UjODhY2svx48ftTlsWBExeZ/WorAQEBEhAxsbGFivfjh07pLOzs6xatar89ddfpZRSbt26VTo5OcmqVavKU6dOmaU/d+6c1F9j6e/vL48dO2aMy8nJkSNHjpSA7NixY6FzGfIVJDw83KLss2bNkoCsVauW3L17t1mcTqeTW7dulTdu3DCGLV68WAJy1KhRFmUOCAiwp0kK8e6771ostygM1+TcuXMW463Ve9SoURKQixcvNgvfsGGDBGSdOnVkQkKCWVx8fLz09vaWrq6u8uTJk2Zxhnb38fGRe/bsKVYdTOX84YcfZHZ2tqxevbqsU6eOzMvLM6bp1KmTdHZ2lpcuXZKJiYkW21un08nQ0FAJyPHjx8vMzExjXFZWlrHvFGxna9fVFENbu7m5yQ0bNpjFvf/++xKQTZs2LZSvY8eOEpDDhg2Tt2/fNoanpKTI5s2bS0BOmTLFLM+aNWskIL29vc3aMy8vT06YMMHY3sXpL8HBwRKQBw8eNIYZ2rF169YSkLNmzTLG5efny+rVq0tnZ2ezeyA2NlYCMjw8vNA5rN1/Bgz9HJAvvPCCzMnJMcYdP35cenl5SUDGx8fbXa85c+ZIQNatW9fsv+T27dty6NChxvO9++67VmUZPXq0mSwGMjIy5Jo1a+SdO3fMwrOysuSYMWMkIMeNG2cWp9PpZNu2bSUgx44da5b3xIkT8uGHHzae19p9a4uKflY98GRelf+Y21S2XtxKtl/STraObi3f2/1euZ0O2Cdt6DWVbsTQCouBT4ABQghXKWUukKyPC7CRr77+M9kkrKT5yp2GU36+Z8+VPN32G3Nx6dGjh9U4Hx+fQlOHXbp04b333mPq1Kk8/fTTrF69mmeffRadTsdXX31F06ZNrZb3zjvvEBQUZPzt5ubG3LlzWbt2LYmJiezcuZOwsLAS1SMvL4+PPvoI0KaIQ0JCzOKFEDbrWh588803xlEXS6xcuZJBgwaV2/nfffddAL7++ms6depkFhcWFsY777zDpEmT+OKLLyyO8r755ptFTvMWhbu7O8888wzz5s3jl19+oW/fvpw4cYI9e/bQv39/ateuzfnz5y3m3bhxI7t37yYkJITPP/8cJ6e7Fjmenp4sXLiQX375hWXLljF79mzjqGFxmDBhAn369DELe/PNN/nkk084ffo0KSkpxtmKHTt2kJiYSNWqVVm4cCEeHh7GPPXr1+ezzz7jiSeeYN68ebz77rvG+M8++wyAv/71r2bt6ezszMcff8yKFSu4ePEixSEyMpL9+/ezZcsW2rZtC9wdEZw2bRojRoxgy5Yt/PWvfwXg4MGDXLt2rVwWW9WvX585c+bg5uZmDGvZsiXPP/88CxYsICYmxu772tBWH3zwgdl/iYeHB/Pnz2f9+vVm5iAFqV69eiFZDFStWpUBAwYUCvf09GTu3LksXbqUFStWsGDBXbuzHTt2cOjQIXx9ffnss89wdXU1xrVo0YJ33nmHV155xa66KSoBe77gmtDxtKjGsH6L+OHXH0i7neYwce4VxfAGmssaF6A6cBk4qI9rJYTwlJZXGHfUfx40CStpPkUFYstdjbXFHW+99Rbbt29n06ZNPProo6Snp/PSSy9ZtHkyZeTIkYXCfHx86N+/P8uWLSMuLq7EiuG+fftIS0ujXr16hR70jqIodzXlaR6RlpZGYmIi3t7e9OrVy2Ka8PBwAHbv3m0xfsiQIWUiy+jRo5k3bx7R0dH07duXxYsXG8NtsX79egCGDh1qphQaqFKlCh06dGD9+vUkJiZaract+vfvXyjMzc2Nxo0bc/DgQS5evGi8Ttu2bQNgwIABVK9evVC+vn378vDDD3Pp0iX2799vnMrcuXMnYLn/u7u7M2zYMD7/vHg+/nv27MnMmTOJiYnhb3/TpsFiYmJwd3enb9++dOrUie3bt5Obm4urq6vd08glISIiAk9Pz0LhgYGBAHYrvefPn+fs2bM4OTnx7LPPFor39/enV69erF692moZjz/+OFWr2jZZP3jwIDExMSQnJ5OZmWl0x+Pm5saVK1e4fv268SXDcM379+9vsdxnn31WKYb3EjKfz67dgidmQPUWvB3ytkPFuVcUw25ost4A0gCklKlCiANAe2AYsMQ0gxAiHG018++A8QlT0nyKiqUk7moM9oaNGzcmPT2doKAg45u+NapVq2bRlx1gtPmzNnJkDwbD9NLaKZYljnRXc+7cOaSUZGRk4OJi++/nypUrFsMDAmwN9ttPhw4daN26NatXr+bKlSssXbqUGjVqWBy9MeXs2bMATJo0yWgnaQ1rdSgKa8q5t7c3gNniiQsXLgAYFydZonHjxly6dMmYNi0tjZycHJycnKy2Z0kWNXXp0gV3d3d27NjBnTt3kFISHx9P586d8fT0pGfPnsTHx5OQkEDXrl3LVTEsThvawnD/GxaNWaKotrLVZ2/dusVzzz1XpM1jRkaGUTE0XEdr5fr4+ODj40N6errNMhWVgw67OpF3qynis9+YkvgR0zuO5LqHt8PWA1QKxVAI0RVoAPwopcwpEBcGLNL/XCTN9y/+J5qT6hlCiF1SytP6PP7AfH2a6bLA/sqlyFeulPV0rK3p4rI+V2Vh1apVxhWh58+f58KFCzRp0qRUZapN5W2j09l/m+Tna7evj49PkdPV1hbVWBoFKimjR4/mjTfeYOzYsVy6dImJEydaffgbMNQhPDy8VAqBLSyNRFrDMCc5U5AAACAASURBVLJkq58a0pQ3np6ehIaGEhcXR0JCAjqdjtu3bxsVv8jISKZNm8aWLVvo1KkT8fHxeHp60rlz5zKXpThtWN7Y6rNvvfUWa9asISgoiOnTp9OhQwf8/PyM08N16tTh0qVLFq+hrWtemeqvsI22SLQqUSdW8MjVczx7YjPz2g61uHi0IqgUiiHQBM2OcK5+NO93NFcxTQCD8dfPaG5rjEgpfxRCLEDbxu6IEGILkAtEAt7AKmBuwZOVNN+9hp+Xm9VVyfcjR48e5dVXX8XNzY1hw4axbNkyhg8fzq5du6w+7G/cuEF6erpF+yaDm4c6deqUWCaDYnDy5MkSl+FoDG1X0AWLAVvuOgpSv75mvuvq6lopnGyPHDmSyZMns27dOsA+34WGOgwbNoyoqKjyFM8u6tWrB9wdybTEuXPnAKhbty6gKd3u7u7k5OSQkpJi8eWppG5OevbsSVxcHFu2bDEqMz179gQgJCQELy8vtmzZQkREBFlZWTz++OOFVktXJgxtdvHiRe7cuWPxv6Q0LmF++EHbgOu///0vjzzyiFlcZmYmv//+e6E8hv8ka/deRkYG169fL7FMigoiaS3cyWT1mg9x0911KdU/eTf9k3eT4+QCDhjEqSyvFNuA94FDQHNgCNALqAKsAAZLKftbsgeUUr4CPAccAMKB3sBpYDwwtMAIY6nz3Uvse/txkqf3K3TcL65qTMnMzOTpp5/m9u3bzJgxgyVLltCjRw/2799f5HTfsmXLCoWlp6cblYXS7MASHByMn58f58+fZ9OmTSUuB+4qaNZ80pUXhgfjiRMnCsUdPXqU1NTUYpXVunVr0tLSHLrftQF/f3+GDRtGjRo16NKlC+3atSsyT9++fYG7D3R7Ka/rZ7DJXLt2rUVlYNOmTVy6dAkvLy+CgzW/aC4uLsZROkv9/86dO/z4448lkscwOhgTE0NMTAw+Pj506NDBeN5u3bqxd+9eVq5caZbeXgwjaRV1H9SvX59GjRqh0+n4/vvvC8VfuXKFzZs3l7h8g59CwwuHKd9++63FkcJu3TQXv+vWrbP4wvbdd9+VWB5FBZGfB7+8Aytf4pvefdlatx3ZzlrfznZ2ZWu99ozp9XeHiFYpFEMp5Tkp5f9JKXtIKetLKT2llB5SyoZSyqeklKuKyP+tlDJMSuktpawipQyWUs4raiq4pPkUlY+oqCiSkpIYOHAgr732Gk5OTixbtgx/f3/mzJnDqlXWu9B7771n5ug4NzeXV199lfT0dIKDg0u1d7CrqytvvfUWoPnOK+hfTEpJXFycXbZANWvWxM3NjcuXL1foaIDhwT1z5kwyMjKM4ampqYwePbrY05Tvv/8+oI3W/fLLL4Xi79y5w5o1a6wuPilrvv32W9LS0tixY4dd6QcNGkRwcDDbtm1j3LhxFh0Qnz17lnnz5pmFGRTsgk61S0vXrl3p2LEjN2/eJCoqipycu9Y4Fy5cMDpSHj9+vNmK5YkTJwIwa9Ys9u3bZwzX6XRMnjzZaMdWXDp27IiPjw979+4lMTGR7t274+zsbIzv2bMneXl5fPHFF8bfxaG82tEWhrZ6++23zUZmc3JyiIqKIisrq8RlGxbDFOwv+/btM/53FCQ8PJxHH32Ua9eu8frrr5spyadOneK99wruB6GodBxfBdfPgW8jVrt3IcvVA7f8PHKcXHDLzyPLxZ3rHt4OEa2yTCUrFGZMnz7d5lTjs88+a1ztuWTJEr755hvq169vXFkK8PDDD7N06VL69OnD2LFjadeuXSGbrwYNGhAcHEzbtm2JiIjAx8eH3bt3k5KSgp+fH0uWmK1NKhF//etfSUpK4uuvvyYkJIQOHTrQtGlTrl27xvHjx0lNTeXcuXNFuutwdXWlX79+rFy5knbt2hEWFmbcrWL69Ol2yxMfH29zyrRBgwZmD5aoqCi+/PJLEhMTadGiBaGhody4cYO9e/fy2GOP0blzZ3btsn9L8SeffJJPP/2UN998k969e9O8eXNatGiBm5sbqampnDx5kvT0dBYsWEBoaKjd5VYUTk5OrFq1iieeeIIvvviCb7/9ljZt2lCvXj3S0tJISUnh119/pVatWmZTzSEhIdSuXZsDBw7QoUMHWrVqhaurK2FhYcV2Jl2Qb7/9lh49evDdd9+xbds2unTpYnRwnZmZabTtM2XQoEG8+OKLfPnll4SGhpo5uL5w4QIvv/yymYsUezE4yzYspig4Imj4nZ2dja+vr12jtKYMHjyY2bNnExkZSUREBF5e2mZWX3/9dbFltZcJEybwyy+/sGHDBlq1amU8b3x8PNnZ2fzpT38q8X/F//3f/zFs2DCmTp3K8uXLadmyJRcvXiQ+Pp4RI0awc+fOQlPGQgjjrMhXX33FL7/8YrwvY2Nj6d+/P4mJiaSkpBRpM6twAFJC/GwAfmv5F/IvOeObc5OfG4ayoVEIfc8lUD0no4hCylU+xzuwvpePyuzg+l7E4OC3qGP27NlSSimTkpJklSpVpIuLi1WHtVOmTJGADAkJMTqCNXUWnZubK99//33ZvHlz6e7uLmvWrClHjhxp1TGsQYaCWHP0bGDt2rWyX79+smbNmtLV1VXWqlVLdunSRc6cOdPMKbEtR8hpaWnyz3/+s6xXr550cXEplsNrU2e7to42bdoUypuSkiKfe+456efnJ93c3GSzZs3ktGnTZE5OTrEdXBs4dOiQ/POf/yybNGkiPTw8pJeXl2zWrJkcOHCg/Oqrr+TVq1fN0ltrd3sxdXBtD9YcXBu4ffu2nDt3ruzWrZv09fWVrq6usnbt2jI4OFj+7W9/kzt37iyU59ChQ7Jfv36yevXq0snJqdB1LqkzcSmlvHLlipw0aZKxH3t5ecnHHntMzp07t5DzZAM6nU5++eWXsm3bttLd3V36+vrK/v37y4MHD9rlkNsan3/+ufF6Ffzf0+l0slatWhKQQ4YMsZjfloPrrKws+frrr8tGjRpJV1fXQv3C0M8LOps2UNJ63blzR06fPl0GBgZKNzc3WbNmTTlixAh59uxZq+csShbT+vbo0UNWr15dVqlSRbZt21bOmTNH5ufn2+wTp0+fls8++6z08/OT7u7uMjAwUH700UcyOztburm5SScnJ7P/FntRz6py5uRGKd/1lvKTFvLFf8db3Ygi+P1fyuX0FOHgWsgKWq12v9KhQwdpOg1ji6SkJFq2bFnOEinsITk5mUaNGhEQEKD2ElUoFPcVO3bsoFu3bjzyyCMcOXKk2PnVs6ockRIW9YLze/k95G1C4rT1tULA5r92o6m/bX+XZYEQYr+UsoO1+EphY6hQKBQKhcJ+bt26ZdHOMikpiRdffBGwb5W9ooJJjofze8HTl4+v3nXT1KdV7QpRCu1B2RgqFAqFQnGP8fvvvxMUFESzZs1o1qwZXl5eJCcns3//fvLz84mIiDAumlFUIup1hH6fkpaZy8pNd7d2faW79W1bKxqlGCoUCoVCcY/h7+/P66+/ztatW9mzZw/p6elUqVKFTp06MWLECMaNG2e2h7KictBhxg7Sbj1cKHxM9N5K40pOKYaKB5KGDRtW2G4QCoVCUdZ4e3vz6aefOloMRXG4k2V1NxNH7XJiCWVjqFAoFAqFQlGeXD4GnwYywfknR0tSJEoxVCgUCoVCoShPdsyCnHSqi5uOlqRIlGKoUCgUCoVCUV5cPQPHfgInF77M6+9oaYpEKYYKhUKhUCgU5UX8bJA67rQaziVqOFqaIlGKoUKhUCgUCkV5kH4e/vc9CCe+cxtqNZmfV+XZulCtSlYoFAqFQqEoD3bOAV0uuS2HMOtAvjF49vA2DG5Xz4GCWUeNGCoUCoVCoVCUNVJC2kkAVnkNJ/12LgANqj/EgEfrOFIym6gRQ4VCoVAoFIqyRgh4fhU5F48yY/FlQBsxfLl7E1ycK++4XOWVTKFQKBQKheJeRgi+/60qabdyAHjYx4Mh7es6WCjbqBFDhUKhUCgUirLk2CqG/3SVPZm1zYIvpWcTNn1rpdn+zhJqxFBRqWjYsCFCCOLi4hwtilWSk5MRQtCwYcNCcQb5k5OTS3WOadOmIYRg2rRppSqnIKNHj7arXMP5R48eXabnrwwY2kAIQWhoqM20X331lTGtEKKCJITu3btXmvsgLi4OIQTdu3ev8HPbuteKIjo6usL7sCPOqaiEZKfDmon8N/91mogLhaIr0/Z3llCKoUJxD+HIh/T9SEJCAidOnLAaHx0dXebnVNewbCirlzCFoszZ+xXkpLMrP4gzsnJPG1tCKYYKRRkSExNDUlISdeuW7s9g/PjxJCUlMX78+DKSTFGQDh06ANaVv19//ZVdu3bRsWPHCpRKYUrdunVJSkoiJibG0aIoFPaRcwt2zwPgX/mDHSxMyVCKoUJRhjRp0oTAwEBcXV1LVY6fnx+BgYH4+fmVkWSKggwaNAhfX1+WLl1Kfn5+oXiDwqimBR2Hq6srgYGBNGnSxNGiKBT2sX8x3L6GrPcYu3VBjpamRCjFUHFPYLALi46O5tixYwwdOpSaNWvi5eVFly5diI2NNaZdt24d4eHh+Pj44O3tzcCBAzl16lShMk2n9DIzM5kyZQqNGzfG3d2d+vXrM2HCBK5evVosOW1Nb0kpWb58OX379sXf3x83Nzfq1q1LZGQkc+fONUtrycawe/fu9OjRA4Bt27aZ2b5V9LRkamoqr776Ki1atMDT0xNvb2/CwsKIjo5GSlkofVHTftZs6kzD9+/fz8CBA6lRowaenp60adOGRYsWlbgO7u7ujBgxgosXL7J582azOJ1Ox5IlS/D19eXJJ5+0WU5ubi4LFy6ka9eu+Pr64uHhQbNmzXj99de5cuVKofoU9xoWt96ZmZl8+OGHtGnTBi8vL6pUqULbtm356KOPyMrKsppv1apVhIWFUaVKFXx9fXn88cfZtm2bzbpbk1cIQadOnQrFvf766wghcHV15ebNm2Zx69evRwhh1t6WbAwNdny//fYbAI0aNTJrR0t97ObNm0yaNIlGjRrh7u5O3bp1efnll7l27Vqx6yelZNGiRbRv3x5PT0/8/PwYNGgQhw8ftprH1Pbw6tWrTJw4kUaNGuHm5sagQYOM6VasWMHYsWNp1aoV1apVw8PDg6ZNmxIVFUVqaqrV8v/44w9eeeUV6tWrZ8wzdepUbt++XansVe97cm/Drn8BsLf+WKDi7JLLErUqWXFPsW/fPqKiomjcuDGRkZGcOnWKnTt30rt3b2JiYjh06BCvvfYaYWFh9O7dm71797J27VoSExM5evQoNWoU3qfyzp07REZGcvToUSIiImjfvj3btm1j7ty5bNq0iR07dlCrVq1SyX3nzh2GDRvGmjVrcHZ2JiQkhAYNGnD58mWOHj3K1q1bi5w27tOnDx4eHmzatIlatWrRp08fY1xgYGCp5CsOsbGxDB48mPT0dJo2bUqfPn24desWCQkJjBkzhq1bt7JkyZIyPefGjRuZNWsWLVq0oFevXqSkpLBr1y5eeOEFbty4wRtvvFGicseMGcOCBQtYvHixWXtu3ryZCxcuEBUVhbu7u9X8GRkZ9OvXj/j4eHx8fAgODqZatWocOHCA2bNns2LFCrZt22ZUbIp7DYtb77S0NCIiIjhy5IhRuRNCEBsby9SpU1m+fDlbt26levXqZvlmzpzJ5MmTAejcuTMBAQEcOXKEiIgIJkyYUKw2bdeuHdWrV2f//v3cuHGDatWqGeMMU8J5eXnExcUxYMCAQnGRkZE2y2/atCmjRo3ixx9/JDMzk6FDh+Ll5WWMN/0OkJ6eTlhYGBcuXKBbt2488sgjxMfHs3DhQvbu3UtCQkKxRvijoqJYsGABzs7OhIeH4+/vz969e+nUqRNjxoyxmTctLY2OHTuSnp5O165d6dChg9l/0vDhw/Hw8CAoKIiePXuSk5PDoUOHmD9/PsuXL2fnzp00b97crMyLFy8SFhZGcnIy/v7+DBgwgJycHObMmaOUwYrmwFK4dRn5cBv+71gd4JbFZJVp+zuLSCnVUYojODhY2svx48ftTvugEhAQIAEZGxtrFj5q1CgJSEB++umnZnFvvvmmBGTz5s2lt7e33L59uzHu9u3bsmvXrhKQ7733nlm+2NhYY5nNmzeX58+fN8ZlZGTIyMhICchhw4aZ5Tt37pwEZEBAgFX5z507ZxY+ceJE43mSkpLM4vLy8uTq1avNwt59910JyHfffdeizOHh4YXObQ+GdixYbkEM5x81apRZ+MWLF6Wvr690dnaW0dHRUqfTGeNSUlJk27ZtJSAXL15sls9auxgIDw+3eN0N4YBctGiRWdzSpUslIL29vWVmZqbN+phiaIOPP/5YSillq1atpLu7u7x27ZoxzfDhwyUgExMT5ZUrV4wyFMSQ7qmnnjLLn5eXZ+yXBa+VPdewpPUeNmyYBGTXrl3l9evXjeHXrl2TnTt3loAcMWKEWZ4DBw5IZ2dn6eLiItesWWMW9/HHHxvlKE6fGzp0qATkypUrjWF//PGHFELI1q1bS0BOnDjRLE+bNm0kII8ePWoMK8m9ZmDx4sVG2Z944gl58+ZNY9yFCxdk/fr1JSD/85//2F2vNWvWGNt+z549xvC8vDw5YcIE4/kK3jemsvTq1UtmZGRYLP+///1voWuam5sr3377bQnIPn36FMrz5JNPSkD27dtX3rp1yxh+6dIlGRQUZDxvwXvLFupZVUKunpVy9Xi5f9NSGTB5nQyYvE62fGeDvHorx9GSmQHskzb0GocrVvf6UeaK4bve1o/Ef99Nl/hv22lNWdjVerrVE+6mu3DAdpkXDtxNu3pC4fOUAUUphqGhoYXyXLt2zfjn99ZbbxWK/+mnnyQge/ToYRZuqhiuXbu2UL5Tp05JZ2dn6eTkJFNSUozhxX1YXb58Wbq6ukonJyezh54tylsxtPco+IAzKDtvvvmmxfITExMlINu3b28WXlrFcOjQoRbztWzZUgJy27ZtdtVfysKKoUH5mT9/vpRSyuvXr0sPDw/5yCOPSCmlVcXw2LFjxn6QlZVV6Dz5+fny0UcflYA8fPiwMbw4imFx6p2cnCyFENLJyanQy4dBXicnp0L9eezYsRavtYHg4OBi97n58+dLQEZFRRnDvv/+ewnIL774Qj788MMyKCjIGHflyhUphJC1a9c2K6csFEMvLy956dKlQvEzZsyQgBwzZozd9YqIiLD6YpWdnS3r1KljUzF0dXW1Km9R1KlTRzo5OZkplYZr7uLiYrHc9evXK8WwgtHpdPKJz7cbFcOPfq58bVmUYqhsDBX3FKZTbwZ8fX2N0zGW4ps1awZoUy6WqFatGv379y8U3rRpU0JCQtDpdGzfvr3EMm/dupXc3FxCQ0Np1apVicspS9q0acOoUaOsHm3atLGYb/369QAMGzbMYnxwcDBeXl4cOnSI7OzsMpPX0vWBu9Ov1q6tPTz//PO4uLgYF5t89913ZGdnF7noZMOGDUbZPD09C8U7OTnRpUsXAHbv3l0i2YpT7x07diClJCQkxOK0dFBQEI899lih/mywIxw5cqTFc1kLt0XPnj0BzFYTG7737NmTyMhIjh8/zqVLlwDtHpFSFjmNXBKCg4OpXbt2ofDi9p28vDx27twJWG4Td3d3q/eFgfbt2xfpk/HXX39lzpw5TJw4kbFjxzJ69GhGjx5NXl4eOp2O06dPG9Nu374dKSWhoaEWy+3bty++vr5FV05ROnT52r7IQOzJPzh2MQMAD1cnXuja2JGSlQhlY1jZmJZuX7oOY7TDHl6yU6mp087+8w+cox0VTL169SyGe3l5cfXqVYvxBpsja4qKrT/qhg0bsnPnTs6fP198YfUYjOQr0g6wKAYNGmTTyfW0adP43//+Vyj87NmzAHa5cLl69Wqp3fYYaNCggcVwb29vwPq1tQeDrd+6des4fvw4ixcvxsXFpUiFyNAW8+bNY968eTbTFlyEYi/FqfeFC5oj3UaNGlktr0mTJiQkJBjTAsa+bS1fSZxLN2vWjPr163PixAkuXLhA3bp1iYmJoWHDhjRu3JiePXvyn//8hy1btvD888/bbV9YEsqq76SlpZGTk4OTkxMBAQEW0xTVVtbygaZ4vvLKK3z99dfadJ4VMjIyjN8N19FWuQ0aNOD69es25VKUjvc+mMrQvPV8lPcsO3WtzeJqVrVuo1xZUYqh4p7Cycn2IHdR8SWlIne9qMwY3LoYjORtYWvRRkF0Op3N+PK6rgbGjBnDunXrmDx5MomJiQwcOLDIBUeGtggODuaRRx6xmbakI8XFqbdBmbDVV20pHGVNZGQk0dHRxMTE0K1bN86ePcsLL7xgjAMqRDEs775THCyNLBv4/PPP+eqrr6hTpw6zZs2ic+fO+Pv7G++jzp07s3v3bovX0NY1r0z1vy/Jz2NU3goCnP6gBhlmUdm5tv/XKitKMVQ88NjaOcEQV6dOnRKXb3ibP3nyZInLqCzUr1+f06dP88477xRL2XFz01bh3bpleZWeYVTVUQwYMAA/Pz/WrVsH2Oe7sH79+gD06NGDjz/+uDzFswvDaLlhJNMS586dAzAbya1bty5nz54lOTnZor/Aku4s0rNnT6Kjo9myZQu5ubnGMIOsLVq0ICYmht9++40zZ87QrFkzq6N7lQE/Pz/c3d3JyckhJSWlTNsK4IcffgDgiy++sGhCYDqFbMDwv2Tr/nH0vXXfc/RHApz+4KyuNut0trfYvFdQrxKKB54bN24YbedMOXv2LAkJCQgh6NatW4nLj4iIwNXVlV27dpGUlFQaUY0KVl5eXqnKKSl9+/YF7j7E7MWgiFjafu7o0aM2fbRVBK6urowdO5YaNWrQtGlTq7Z9phjaYtWqVcW6HuV1Dbt27YoQgoSEBH799ddC8UlJSezZswcnJyez/hweHg7AsmXLLJZrLbwoDKN/MTExxMTEIIQgIiLCLP7ChQtGH57FHS2s6HvBxcWFzp07A5bb5M6dO/z4448lLt/gU9HwwmHK5s2bLZojGK75rl27LCqAmzZtKpGvRoWd6PJhu/ZSOC9vELr7RKW6P2qhUJSSN954w2gID9rI1ssvv0x+fj6DBw8u1UiGv78/48aNQ6fTMXTo0EIP7fz8fNauXWtXWQYF6/Tp0w5RDidNmoS3tzcfffQR8+bNsyhDQkJCIcXR8NCfOXOmmY1Uamoqo0ePrtApTmvMmDGDtLQ0Tp06ZZdfu/bt2zNo0CBOnz7N008/bdEO9dKlS3z22Wdm7VRe1zAgIIChQ4ei0+l46aWXSE+/ay9848YNXnrpJXQ6HU8//bSZ8hEVFYWTkxNLly4t9II0e/Zs9u3bVyJ5ateuTVBQEBcvXmTlypU8+uij1KxZ0xhvGD00KIaG3/ZiaMfSvmwVh4kTJwIwa9Yss3bR6XRMnjzZzHazuBhskBcsWGBmWnHmzBnGjRtnMU+jRo3o168feXl5REVFmTkwv3z5Mn/7299KLI/CDo6thKun+U3nz2pdZ0dLU2aoqWTFA09oaCj5+fk0b96ciIgI3Nzc2LZtG1euXKFJkyZFLiywh48//pgzZ86wfv16WrVqRWhoKPXq1eOPP/7gyJEj/PHHH3YpRwEBAbRr146DBw/y6KOPEhwcjLu7Oy1atGDSpEmllrMo6tevz6pVq3jqqacYP348H374Ia1ataJGjRpcvHiRM2fOcPHiRYYPH262QjMqKoovv/ySxMREWrRoQWhoKDdu3GDv3r089thjdO7cmV27dpW7/GXNN998w8CBA1m5ciUbNmygTZs2BAQEkJGRQWpqKklJSeh0OsaNG4eLi/Z3W57XcMGCBZw4cYK4uDgaN25s3E0lNjaW69ev06ZNm0L9OTg4mA8++IC///3v9O/f38zB9bFjx5g4cSJz5pRsoVnPnj05fvw42dnZhUYEe/TogbOzM9nZ2Tg5ORl3hLGXwYMHExcXx3PPPUevXr2MjrRnzJhh0ZF9WTBo0CBefPFFvvzyS0JDQ80cXF+4cIGXX36ZBQsWlKjst956i40bN/LFF18QGxtLu3btuHbtGtu2bSM0NJTatWtbvEcWLFjA4cOH+fnnn2ncuDHdunUjJyeH2NhYWrVqRUhICAkJCcYRVkUZodMZRwvn5z9J3n2kTqkRQ8UDj5ubG1u3buWll17i8OHDrFmzBjc3N6KiokhISLDo6qK4uLu7s3btWpYuXUq3bt04evQoP/74IydOnODRRx8tlvL5008/8fTTT3Pt2jW+++47Fi1axM8//1xqGe2lR48eHDt2jL///e/4+/uTkJDAqlWrSElJoVmzZvzzn//kww8/NMvj6+vLzp07ee6558jLy+Pnn3/m/PnzTJo0iY0bN5Z6b2lH4e3tTUxMDEuWLKFbt26cOXOGn376if379+Pi4sK4cePYtGlToYU65XUN/fz82L17N++//z5169Zlw4YNbNiwgfr16/Phhx+yc+fOQruegKaUrFixgpCQEA4ePMi6deuoWbMmmzdvZvDgwSWWx1QZLDgiWK1aNdq3bw9A27ZtLcpli/HjxxvruW7dOhYtWsSiRYsKbbVX1ixcuJAvv/zSuIPKxo0badmyJbt37+axxx4rcbmhoaHs3buXfv36kZ6ezurVqzl//jxTp05l06ZNVu+RevXqsXfvXl566SWcnJxYvXo1R44c4eWXXyYmJsY4Ba32XS9jrp2FzCvgU5+1WDY1qvQ7nFhBVIYpnHuZDh06SHunWpKSkmjZsmU5S6Swl7i4OHr06EF4eLjaOkqhUNx3JCcn07RpU6pUqcL169ftXqGsnlV2knOLY0cP0e8HzWzD2Umw9Y1wAmpUcbBgthFC7JdSdrAWr0YMFQqFQqG4R5FSWrQDTU1N5fnnnyc/P58//elPym1NeeDuxfRDd0dyn2xbp9IrhfZw/0yKKxQKhULxgJGfn0/Hjh1p0KABgYGB+Pr6kpqaoXV5vwAAIABJREFUyoEDB8jOzuaRRx7hgw8+cLSY9w86HRz4BloP48DlXHacSgPAScCEiGYOFq5sUIqhQqFQKBT3KM7OzkydOpUtW7Zw8OBBbty4gbu7O0FBQQwZMoRXX33VuPuTogw4+TOsew0SFzHH/VNj8JNt69LI794fLQSlGCoeYLp3714p3KQoFApFSRFC8MEHH6hRwYpASk7+921aAO+eb09cfpoxKu7kH46Tq4xRRgcKhUKhUCgURXHiZ1qQzGVZje/zzd0rXc/KdZBQZY9SDBUKhUKhUChsISVsmwHAgryB5HBvuqKxB6UYKhQKhUKhUNji5Ab4/TB/yGp8lx9RdPp7GKUYKhQKhUKhUFhDStg2HYCFeQPu69FCUIqhQqFQKBQKhW3CJ0OTSJblRxad9h5HKYYKhUKhUCgU1hACAvtxuMe/rY4W3qvb31lCuatRKBQKhUKhsER+HjhrqtLnW04Zg/s/+jBzn23vKKnKFaUYKhQKhUKhUBRESvh3b/AP5GjQ34g5ofkqFAJejbw/djmxhFIMFQqFQqFQKApycgNc2Afpqfzr6jPG4P6P1qFZraoOFKx8UTaGCoVCoVAoFKZIyYnv/w7AP673YtOv6cao+FNXHCVVhaAUQ0WlomHDhgghiIuLc7QoVklOTkYIQcOGDQvFGeRPTk4u1TmmTZuGEIJp06aVqpyCjB492q5yDecfPXp0mZ6/MmBoA9PjoYceonbt2nTq1IlXXnmFTZs2odPpHC3qPYuhXRWKe5YTPxPIOS7LanxbYCXy/bTLiSWUYqhQ3EPExcUhhKB79+6OFuWep02bNowaNYpRo0YxePBg2rVrx4ULF1iwYAF9+vShdevW7Nu3r8zOd79cO4NiHR0d7WhRFIrywcRv4f2+y4kllI2hQlGGxMTEkJubS926dUtVzvjx4xkxYgR+fn5lJJmiIIMGDbI4crp//36mTJnCli1b6NatG7GxsXTq1KniBbyHSUpKcrQICkXJObEOfj/C79L3vt/lxBJKMVQoypAmTZqUSTl+fn5KKXQQwcHBbNq0ieHDh/Pjjz/y3HPPceLECVxc1N+lvQQGBjpaBIWi5Fw8BAjmP4CjhaCmkhX3CKbTV8eOHWPo0KHUrFkTLy8vunTpQmxsrDHtunXrCA8Px8fHB29vbwYOHMipU6cKlWk6tZeZmcmUKVNo3Lgx7u7u1K9fnwkTJnD16tViyWnLxlBKyfLly+nbty/+/v64ublRt25dIiMjmTt3rllaSzaG3bt3p0ePHgBs27bNzEauoqcnU1NTefXVV2nRogWenp54e3sTFhZGdHQ0UspC6YuyvezevbtF21LT8P379zNw4EBq1KiBp6cnbdq0YdGiReVQO3BycmLBggV4eHhw5swZVq1aVShNbm4uCxcupGvXrvj6+uLh4UGzZs14/fXXuXLF3Di9ONcuMzOTDz/8kDZt2uDl5UWVKlVo27YtH330EVlZWYXkMO3Hubm5fPjhhwQGBuLh4YG/vz8jR44kJSXFYj1XrFjB2LFjadWqFdWqVcPDw4OmTZsSFRVFamqqWVqDbe0333wDwJgxY8zqYTq1bMvGMC0tjcmTJxMYGGjsOyEhIcyfP5+8vLxC6aOjo432rjdv3mTSpEk0atQId3d36taty8svv8y1a9csnkuhKBGR78DLu/hvfg9HS+IQ1CvwA8CVrCtM2j6JT8I/wc/z3h6F2rdvH1FRUTRu3JjIyEhOnTrFzp076d27NzExMRw6dIjXXnuNsLAwevfuzd69e1m7di2JiYkcPXqUGjVqFCrzzp07REZGcvToUSIiImjfvj3btm1j7ty5bNq0iR07dlCrVq1SyX3nzh2GDRvGmjVrcHZ2JiQkhAYNGnD58mWOHj3K1q1bGT9+vM0y+vTpg4eHB5s2baJWrVr06dPHGFeRIzSxsbEMHjyY9PR0mjZtSp8+fbh16xYJCQmMGTOGrVu3smTJkjI958aNG5k1axYtWrSgV69epKSksGvXLl544QVu3LjBG2+8UabnA23Utk+fPqxatYrNmzfz1FNPGeMyMjLo168f8fHx+Pj4EBwcTLVq1Thw4ACzZ89mxYoVbNu2zbhAyd5rl5aWRkREBEeOHMHX15fHH38cIQSxsbFMnTqV5cuXs3XrVqpXr15I3tzcXPr27cuePXsIDw+nZcuW7N69m2XLlrF9+3YOHz5MtWrVzPIMHz4cDw8PgoKC6NmzJzk5ORw6dIj58+ezfPlydu7cSfPmzQHw8vJi1KhRxMfHc+bMGcLCwmjatKmxLNPv1jh9+jQRERGkpqZSu3ZtBgwYQFbW/7N339FRVWsfx787IaGFIEozEAOoKEWKCUov8tp7AVTwguUKilexoHBtCFdFFEUvKBYUUPGqqAgqIApEerPREaUGBEJIQgKkzOz3j8kMKTPpYSbJ77PWrMmcffY5z5kZyJN9djnGokWLGDp0KF999RXffPMNVatWzVM3KSmJLl26EBcXR/fu3WndujVLly5l8uTJrF69mpUrVxISElJgDCKFseZ4Q9LY4bWsIq1y4pW1Vo8SPKKjo21hbdq0qdD7lqbRK0bbC6ZeYEevGO2X8xdFVFSUBeyiRYtybB84cKAFLGDHjx+fo+zxxx+3gG3evLkNDw+3P/30k6fs+PHjtlu3bhawo0fnvP5FixZ5jtm8eXO7d+9eT1lycrLt3bu3BWyfPn1y1NuxY4cFbFRUlM/4d+zYkWP7gw8+6DnP5s2bc5RlZmbar7/+Ose2Z5991gL22Wef9Rpzjx498py7MNzvY+7j5uY+/8CBA3Ns37dvn61Tp44NDg62U6dOtU6n01O2e/du265dOwvYDz74IEc9X++LW48ePbx+7u7tgJ0yZUqOsg8//NACNjw83KampuZ7PdkV9j2w1toxY8ZYwHbp0iXH9n79+lnA3nLLLTYhIcGzPTMz0/N9zP0ZFeaz69OnjwVst27d7JEjRzzbExISbOfOnS1gb731Vq/HBWxMTIw9cOCApywxMdFeeOGFFrD/+c9/8pzv008/zfPeZWRk2KeeesoC9oorrshTx/3+5f6Ms3PHk1uHDh08/6aOHz/u2b57927bvHlzC9gRI0bkqPPBBx94jnfVVVfZo0ePesri4uJsZGSkBexHH33kMx4pGn/9rvK7PxdZu32htU6nve2dFTbqiW9s1BPf2Ec+/dXfkZUqYK3NJ6/RreQKLPqjaC6YdgGfbf0Mi+WzrZ9xwbQLiP4o2t+hFVunTp145JFHcmwbMWIEANu2bWPo0KF069bNU1atWjUefvhhgBy3m3MbP358jgEjtWrVYvLkyQQHB/PFF1/kua1WFAcPHuStt94iKCiIL7/8Mk/rXnBwMNddd12xj18czz33XJ4pW7I/nnvuOa/1JkyYwJEjR3j00UcZOHBgjtuFkZGRvPvuuwD897//LdV4b775Zu66664c2wYMGECLFi1ITk4u1dHD2dWrVw8gR5eCTZs28emnnxIVFcX06dOpU6eOpyw4OJgXX3yRNm3aEBsby/r16wt9rl27djFz5kyCgoJ45513crTu1alTh3fffZegoCA+++wzr99HYwzvv/8+9evX92yrXbs2TzzxBOAaGJVb3759qVGjRo5tVapUYcyYMURERPD9999z9OjRQl9DfpYsWcKaNWs8/7aqVavmKYuMjGTChAkATJo0iRMnTuSpHxYWxpQpUwgLC/Nsi4iI8LS0e7s+kUJzOuC7x+HDG9ga+wnL/3T9mw8OMjzYu+DW8IpEt5IrsHk3zeOVta+wcPdCTjhOUC24Gr3P6s1jHR7zd2jFlv0WnFudOnU444wzOHz4sNfyc891LV20b98+r8c87bTTuOaaa/JsP+ecc+jYsSPLli3jp59+on///sWKeeHChWRkZNClSxdatWpVrGOUtrZt29KuXTuf5b/++iu//fZbnu3fffcdAH369PFaLzo6mrCwMH799VdOnDiR45d/SXj7fMB1G3bz5s0+P9uScs9lGBR08m/ouXPnemKqXr16njpBQUF07dqV33//nRUrVnDBBRcU6lxLlizBWkunTp28dg1o2bIlF110EStXrvT6fTzrrLO8nst9LF/v0bZt25g3bx7bt28nJSXFc82ZmZk4nU62b99O+/btC3UN+YmNjQXg2muv9Xor/Morr+TMM89k//79rFu3ji5duuQoj46OpmHDhnnqFXR9IoWy4QuI34o97SxGbWkMuP4guvnCRkSdUdO/sZ1iSgwrsHo16lEzpCZpjjRCg0NJc6RRM7Rmue5n2LhxY6/bw8LCOHz4sNdydwuDt1YIwOtE1dnLli1bxt69e4sebJZdu3YBgTVS09dULW6jRo3ymhj+9ddfAHTo0KHAcxw+fLjE0/a4nXXWWV63h4eHA74/25KKj48HyJHIuN+DSZMmMWnSpHzr5x6Ekp+4uDgAmjZt6nOfs88+m5UrV3r2za6o71FmZib3338/7733ntcBQ27JyckFxl4Yhbm+Zs2asX///lK5PpFCc2Sy68tniAIeP3QFKxwnW8l/2HTAf3H5iRLDCi7hRAJ9z+tLn+Z9+Hzb58Qfj/d3SCWSveWmOOXFpVUcXBwOB3By0EJ+vA0g8KWgVUbK6nMtyLp16wBytMS534Po6Ghat26db/2itBC7k7P8vmv5JXBFfY9ef/113n33XSIiInj11Vfp3Lkz9evX93xunTt3ZsWKFfmesyhO9fWJFNrvnxLFfnY6G/Clo1uOooQKvsqJN0oMK7gJvSZ4fn6q41N+jCRw5bd8nbssIiKi2MePiooCYOvWrcU+RqCIjIxk+/btPP3000VKekJDXaP4UlJSvJa7W1UDyaFDh5g/fz4Al156qWd7ZGQkAL169eLll18utfO5W7vdLZLe7NjhGiVZGi2xn3/+OQBvv/2211v127dvL/E5sjvV1ydSKI4MiH0JgNczb8JBsJ8D8j/9CSaVXmJioqfvXHZ//fUXK1euxBhD9+7di338Sy65hJCQEJYvX17iFSHcCZa3+d5OhSuvvBI4mVQUlvsX/ZYtW/KUbdiwoUSDe8qC0+nk/vvv58SJEzRv3jzH4CD3ezBr1qwifQ4FfXbdunXDGMPKlSvZtm1bnvLNmzezatUqgoKCSvR9dHPP/edOdLNbsGCBz9vgxf0O9ujRA4A5c+Zw5MiRPOXz589n//79hIWFER1dfgfISTnz6wxI3MWfzjP52tml4P0rASWGIsCjjz7K/v37Pa9TUlK47777cDgc3HjjjT77NxVG/fr1GTJkCE6nk5tvvjnPL32Hw8GcOXMKdSx3grV9+3a/JIfDhw8nPDycF154gUmTJnmNYeXKlXkSx969XYvQjxs3LkeftT179jBo0KBSu11ZGn7++Wcuv/xyZs6cSc2aNfn4448JDj7ZinDhhRdyww03sH37dvr27eu1/+n+/fuZMGFCjvenoM8uKiqKm2++GafTyeDBg0lKSvKUJSYmMnjwYJxOJ3379vWazBWVu8/rW2+9leNW/p9//smQIUN81nNfR1H/yOnWrRsdOnTg6NGjDB06lLS0NE9ZXFwcw4YNA1zLQZbWoCWRArW8Dro9xrjMfjiVEgG6lSxCp06dcDgcNG/enEsuuYTQ0FBiY2M5dOgQZ599doEDDArj5Zdf5s8//+S7776jVatWdOrUicaNG3Pw4EHWr1/PwYMHC5UcRUVF0b59e3755RfatGlDdHQ0VatW5bzzzmP48OEljrMgkZGRzJo1i1tuuYUHHniA559/nlatWnHGGWewb98+/vzzT/bt20e/fv1yjFweOnQo77zzDmvWrOG8886jU6dOJCYmsnr1ai666CI6d+7M8uXLyzz+7GbNmuXpKpCRkUFiYiLr16/3tF62bt2aadOmceGFF+apO23aNK677jq++uor5s6dS9u2bYmKiiI5OZk9e/awefNmnE4nQ4YM8SylV5jP7q233mLLli0sXryYZs2aeVZFWbRoEUeOHKFt27al8n0EGDlyJPPmzePtt99m0aJFtG/fnoSEBGJjY+nUqRMNGzb0+plcf/31jB49mgkTJrBhwwYaN26MMYa77rqLzp0753vOGTNm0KtXLz755BNiY2Pp2rWrZ4Lr1NRUevfune+gKJFSV70Ozl5PMX9B3rtGlZXSY6n0QkNDWbhwIYMHD+b3339n9uzZhIaGMnToUFauXOl1ioyiqlq1KnPmzOHDDz+ke/fubNiwgZkzZ7JlyxbatGlTpF/2X375JX379iUhIYFPPvmEKVOm8O2335Y4xsLq1asXGzdu5N///jf169dn5cqVzJo1i927d3Puuefy4osv8vzzz+eoU6dOHZYtW0b//v3JzMzk22+/Ze/evQwfPpx58+b5ZcWK3377jWnTpjFt2jS+/PJL1q5dS0REBPfddx/z58/n999/95oUgmsk7I8//sj06dPp3r07f/75J19++SXr1q2jSpUqDBkyhPnz5+dp+Sros6tbty4rVqxgzJgxNGrUiLlz5zJ37lwiIyN5/vnnWbZsmdepXoqjU6dOrF69mquvvpqkpCS+/vpr9u7dy5NPPsn8+fN9fibt2rXj008/pUOHDixfvpz333+fKVOmeL39nds555zDL7/8wvDhwwkLC+Prr79m8eLFtGrViokTJzJ37twiDVoSKbbMNMhwjWSfv/Fvn7tV+FVOvDCBdAunPIqJibGFnVx38+bNtGjRoowjksJavHgxvXr1okePHnnW6BURqawqxe+qlW/B8v/iuGIsV8yrzR8HXQPjBvdoxsgrK/a1G2PWWWtjfJUHRIuhMSbEGNPbGDPeGLPSGLPfGJNujIkzxsw0xvT0UW+qMcbm88jb0z1n/duNMUuMMUnGmBRjzFpjzFBjTEC8LyIiIlLK0lNhyXhIjmPNrmRPUlgzNJjB3c/2c3D+Fyh9DHsAC7J+/htYB6QCLYGbgZuNMWOstc/4qL8M8Da3wn4v2wAwxkwC7gdOAD8CGUBvYCLQ2xjTx1rrKMa1iIiISKBa/Q6kHsJGRDNyQyPgGAB3d23K6TUr363j3AIlMXQCXwCvW2uXZC8wxvQDPgaeNsYsstZ6W/D2PWvt1MKezBhzM66k8G+gu7X2j6ztDYBFwI3AA8DrxbgWERERCUQnkkj64RVqA3fsvIwdzmOeoo9X7eaRy87zX2wBIiBumVprF1prb8mdFGaVfQpMzXo5oJROOTLr+Ql3Uph1rgPAfVkvR+iWcsXWs2dPrLXqXygiUlmseJPapLDKeT5LnTlXLjqcmu6noAJLeUl8fsl69r5QbhEYYxoD0UA6kGeWXmttLBAHNAQ6lvR8IiIiEgCOJcAK1wwQr2T0BbTUqTeBciu5IOdmPfvqM9jLGNMGCAMOAEuBBdZabwuwts963mitPe7jeGuARln7ntrJ1URERKT0Je2BsPrEHmrKGnu+v6MJWAGfGBpjGgKDsl5+4WO3f3jZtskYc6u1dn2u7U2znvNbnHV3rn1FRESkPDuzLQxdzSNPfubvSAJaQN9KNsZUAT4CagM/Wmtzrxv2K/Ag0ApXa2EEcA3wG64RzT8YY3Kvxh6W9Zyaz6lTsp5rFT96ERERCSQpmXCY2v4OI6AFdGIITMY1hcwevAw8sdZOsNb+11q7yVqbaq3db639FrgIWAnU5+RAEzd3p4Jiz+xtjLk3a87Dtb4WmhcREZEAkLQX5j4BRw/w/tIdPnerjKuceBOwt5KNMa8Dd+OaUqa3tdb3mjW5WGvTjTEvAl8DV+UqPpr1HIZv7rKj3gqtte8A74Br5ZPCxiUiIiKnWOw4+Hka6UcP8+7Gk2u4j7ulDX1jIv0YWGAKyBZDY8x4XLeID+FKCv8ooIo37lVPct9K3pn1HJVPXfc3ZWc++4iIiEggO/wn/PIRmGCmhvTlaFomAM3q1eSm9rnTA4EATAyNMeOAR4DDwKXW2k3FPNQZWc8puba7p75pZYyp7qNuh1z7ioiISHmz+EWwDo636sdrP5+cqOSRS5tTJTjgUqCAEFDvijFmLDAcOIIrKfytBIfrm/W8JvtGa+0e4GcgFOiTu5Ixpgeu+RL/BlaU4PwiIiLiL39vwLl+Jmm2Cr3XduR4xslVbkfN3ujHwAJbwCSGxpgxwBNAIq6kMN/WOmNMO2PMNcaY4FzbqxhjHsF1KxrgNS/VX8x6fskYc062uvWBN7NejvUxD6KIiIgEukXPE4RlhqM3+6iboyg+Rauc+BIQiaEx5jrgqayX24F/GWOmenmMyFatCTAHOGiMWWGM+dwYMw/X/ITjs/Z5wlo7P/f5rLUzgbdwrW6y3hgzxxjzJfAHrmluZgETy+BSpQBNmjTBGFPgw5/L2LljyK1nz56lEtvUqVMxxjBo0KASHSe3UaNGFeq9La3zDho0CGMMU6dOLZXjlZT788n+CAsLIyIigu7du/Pwww+zfLnmsy+unTt3YoyhSZMm/g5FBOL/gK3fccxWZVLmDf6OplwJlFHJp2f7OSbr4U0sMDbr59+A13FNTROFa5USC+wFPgAmWWvX+TqhtfZ+Y8xSYCjQAwjGNWDlfeAttRb61+WXX07Dhg19ludXVlHt3LmTpk2bEhUVxc6dO4t9nLPPPpuuXbv6LM+vrCLo0qUL55zjulGQlpZGfHw8v/32G0uWLGHChAl07tyZadOmefYpqalTp3LnnXcycODAgEmSi6Nnz57ExsayaNEievbs6e9wRPJX91y450eeeesz4jVvYZEERGJorZ0KTC1inR3AsBKedwYwoyTHkLIxYsSIcvfLZ/r06Rw7doyzzjqrRMe58cYb6dixI7Vrl81/Zl27di3XCUpJ3XPPPV5bRRctWsRjjz3G8uXL6dy5MytXrqRZs2anPsByqlGjRmzevJmQkBB/hyLi0jiGmY4D/o6i3AmIxFCkIihpQuhWu3btMksKxbdevXqxfPlyevXqxYoVK7jrrrv82mWhvAkJCeH887X+rPiZtfD373BmWzbEJfk7mnIpIPoYihSXtZYrr7wSYwz33ntvnnKn00nv3r0xxvDAAw94tmfvD5WZmcnYsWNp0aIF1apVo0GDBgwcOJDdu3fnOV5+CupjOH/+fG666SYiIiIIDQ2lYcOGdOnShZdeeonjx4979vPWx3DQoEE0bepaunvXrl05+smVdZ8ud79PX7evi9u3ctWqVdx66600btyY0NBQ6tWrx3XXXcfSpUu97p+9b+eUKVO4+OKLCQ8PxxhDYmJikc7tS9WqVXnnnXcAiI2NZe3atXn2SU1NZdy4cXTo0IHw8HCqV69Oq1atGDVqFCkpOWfHatKkCXfeeScA06ZNy7cvZ3x8PE888QTnn38+1atXJzw8nI4dO/Lmm2+SmZmZJ47s35OjR48yfPhwmjZtStWqVWnUqBH33XcfCQkJeeplZGTw4Ycfctttt3HeeedRq1YtatSoQcuWLXniiSfy1Fm8eDHGGGJjYwFXAu2tv29BfQx37drF/fffT7NmzahatSp16tShV69ezJjh/aaNu0/sqFGjOHDgAIMHD6Zx48ZUrVqVpk2bMmLECE6cOOG1rlRiW7+Dt7vDrKG8PH+rz920yolvajGsBDIOHiTukUdp/NqrVKlXz9/hlCpjDB9++CHt2rXj3XffpVevXtx2222e8tGjR7Nw4ULat2/P+PHjvR6jX79+fPPNN/Ts2ZO2bduybNkypk+fzrx58/jpp58477zzShSjtZb777+fyZMnAxATE0OPHj1ISEhg8+bNjBgxgn79+uWb4HXt2pWUlBS++OILatasyS233OIpq1u3rs96gWr8+PEMHz4cgAsvvJBOnTqxd+9evv32W7799lsmT57MP//5T691//Wvf/Hmm2/SpUsXrrnmGrZt2+Z1MFBxtW7dmnbt2vHrr7+yYMECYmJOdnneu3cvl19+OZs2baJevXp06tSJatWqsWbNGp577jm++uorFi9eTJ06dQC45ZZbWLlyJcuWLcvTtzP7z9u3b+eSSy5hz549NGzYkGuvvZZjx46xaNEihg4dyldffcU333xD1apV88SblJREly5diIuLo3v37rRu3ZqlS5cyefJkVq9ezcqVK3Pc3j1w4AD/+Mc/qFOnDueffz7t2rUjOTmZtWvXMm7cOGbOnMmqVas836uGDRsycOBA5s2bx4EDB/L0/y1Mf99Vq1ZxxRVXkJiYSNOmTbnxxhs5fPgwsbGxLF68mHnz5nkS59z27NlDdHQ01lo6d+5McnIyS5cu5aWXXmLTpk3Mnj27wPNLJeF0wI9jANgZ0ozYba4la4MMzB/WnXMb1PJndOWHtVaPEjyio6NtYW3atKnQ+5amfc+OspvOb2H3PTvKL+cviqioKAvYRYsWFanekiVLbHBwsK1Vq5bdtm2btdbahQsX2qCgIFurVi37xx9/5Nh/x44dFtdgJVu/fn27ceNGT1laWpodMGCABWyHDh3ynMtdL7cePXp4jf3VV1+1gG3QoIFdsWJFjjKn02kXLlxoExMTPds++OADC9iBAwd6jTkqKqowb0kezz77rNfjFsT9mezYscNrua/rHjhwoAXsBx98kGP73LlzLWAjIiLsypUrc5QtXbrUhoeH25CQELt169YcZe73vXbt2nbVqlVFuobsceaOx5u7777bArZ///6ebU6n03bq1MkC9oEHHrCpqamesmPHjnm+M7nfX1+fZ3YdOnSwgO3Tp489fvy4Z/vu3btt8+bNLWBHjBjh9biAveqqq+zRo0c9ZXFxcTYyMtIC9qOPPspRLzk52c6ePdump6fn2H7s2DF75513WsAOGTIkT4y+Pmc3X9/P48ePe2IZNmyYzczM9JStX7/e1q9f3wJ28uTJOeq5v6+Aveeee2xaWpqnbNOmTTYsLMwCdunSpV7jkeLz1++qEvtlhrXPhlvnq61s30mLbNQT39ioJ76xj3z6q78ZxzhpAAAgAElEQVQjCyjAWptPXqNbyRXYlrbt2Hx+CxL/9z+wlsT//Y/N57dgS9t2/g6tQLlvV2V/nHbaaXn279q1K6NHj+bo0aP07duX3bt3c/vtt+N0Onn33XfzHWH69NNP07JlS8/r0NBQJk6cSO3atVmzZg3Lli0r9nVkZmbywgsvAK5bfx07dsxRboyhV69ep7RPYe5bmrkfs2bNKtPzP/vsswC89957XHzxxTnKunTpwtNPP01GRgZvv/221/qPP/44F110UZnGWC+rZf3w4cOebfPmzWPFihV07NiR119/nRo1anjKqlevzuTJk6lfvz4ff/wxR44cKfS5lixZwpo1a6hVqxaTJ0+mWrVqnrLIyEgmTJgAwKRJk7zeOg0LC2PKlCmEhZ1c/j0iIsLTdeLHH3/MsX+tWrW49tpr8wwSqV69OhMnTqRKlSp88cUXhY6/IJ9//jl79uwhKiqKcePGERx8curZ1q1bM2rUKABeeeUVr/UjIyN54403CA09eeuvRYsW3HHHHUDe65NKKjMNFrv+r9103gOs2p0KQEiwYdj/nevPyMod3UquwM5e8D0Hx43j6A8/Yk+cwFSrRq1L/48Gjz/u79AKlN90Ndl/IWc3cuRIfvrpJ+bPn0+bNm1ISkpi8ODB9OvXL99zDRgwIM+22rVrc8011/Dxxx+zePFiunTpUvSLANauXUt8fDyNGzfmiiuuKNYxSltB09WU1iAab+Lj41mzZg3h4eFcdtllXvfp0aMHACtWeF946Kabbiqz+NycTtdsVUFBJ/92/u677wC4+eabc2x3q1mzJjExMXz33XesWbPG5/Xl5u67d+2113L66afnKb/yyis588wz2b9/P+vWrcvzXYyOjvb6b8U9EGTfvn1ez/vLL7/w448/snPnTlJTU3E1JLj+MDp06BBHjhzx3BIvCff19e/f3+uI5TvvvJOhQ4eyfft24uLiaNQo5/q1l1xyCdWr5129tKDrk0pm3VRI3M1WZ2Ou/enkdyjDYbnxzWWsfepS/8VWzigxrMBC6tcnKCwMm5aGqVoVm5ZGUM2wctHPsDjT1bj7GzZr1oykpCRatmzpaW3x5bTTTvPaAgl4+vzt3bu3SHFkt2vXLoAS91MsTf6crmbHjh1Ya0lOTqZKlfz/+zl06JDX7VFRUWURWg7x8fEAORK1v/76C4Dhw4d7+kf64it2b+Li4gA8g4u8adasGfv37/fsm52vRD48PBwgTytjSkoK/fv3L7BvXnJycqkkhgVdX7Vq1YiIiCAuLs5rYljU65NKKC0FfnoZgFcy++LMdTNUq5wUjRLDCi4z/jCn3Xordfr15cinn5FZhF9Y5dGsWbM8I0P37t1LXFwcZ599domOWZoDGyoid+taYTgcrrVKa9euzQ035L8aga9BNd5aj0rbunWuufEvuOACzzZ37D169ChwJHhRkld3S11+3zP3Pt54a73Mz8iRI5k9ezYtW7Zk7NixxMTEULduXU9rXkREBPv378/3nEVxqq9PKiHrgAv6sHL5IhY4o/0dTbmnxLCCi5z4X8/PZz77jB8jKXsbNmzgoYceIjQ0lD59+vDxxx/Tr18/li9fnqN/UnaJiYkkJSV57ePnnp4lIiKi2DG5E4StW31PmxDo3O9d7qlY3NytooURGRkJuOa8C9RJttevX89vv/0GwKWXnrz95I69T58+DB06tNTO17hxY+Bki6Q3O3bsAMjTmlYcn3/+OQCffvoprVu3zlGWmprK33//XeJzZFfQ9Z04cYL9+/cDpXN9UglVqw1XvMhti+cA+kO+pPSnmFQIqamp9O3bl+PHj/PSSy8xffp0evXqxbp16wq87ffxxx/n2ZaUlMQ333wDUKIVWKKjo6lbty579+5l/vw8y3YXiTtB8zanXVly/7LesmVLnrINGzawZ8+eIh3rggsuID4+PiAnj05LS2Pw4MEA9O7dm/bt23vKrrzySuBkYlVYBX1u7j6Vc+bM8TpoZf78+ezfv5+wsDCio0veGuKep9Cd6GY3Y8YMn613xf3+ua/vk08+8Vp32rRpWGs555xzlBhK0WV9X4+lZ6LxtKVD76JUCEOHDmXz5s1cd911DBs2jKCgID7++GPq16/PG2+8ke9I29GjR7N582bP64yMDB566CGSkpKIjo4u0drBISEhjBw5EnB1sl+9enWOcmstixcvJimp4Bn669WrR2hoKAcOHCjSqNeS6t27NwDjxo0jOTnZs33Pnj0MGjSoyLccx4xxzTM2YMAAvv/++zzl6enpzJ492+fgk7KyePFiOnfuzIoVK2jQoAHvvfdejvIbbriB6OhoYmNjGTJkiNfJo//66y8mTZqUY5s72cn+HcuuW7dudOjQgaNHjzJ06FDS0tI8ZXFxcQwb5lr584EHHsgxYrm43IM2cse5du1az3fVm4Kuw5c+ffoQGRnJjh07GDlyZI6uB5s2bfKMUn/ssceKdFwRkuLgzU7w++e8v3SHv6OpMHQrWQLS2LFj873VePvtt3tGfU6fPp1p06YRGRnJBx984NnnzDPP5MMPP+SKK67grrvuon379nn6fp111llER0fTrl07LrnkEmrXrs2KFSvYvXs3devWZfr06SW+locffpjNmzfz3nvv0bFjR2JiYjjnnHNISEhg06ZN7Nmzhx07dhQ4ZU1ISAhXX301X331Fe3bt6dLly5Ur16dunXrMnbs2ELHs3TpUq9rBbudddZZjB492vN66NChvPPOO6xZs4bzzjuPTp06kZiYyOrVq7nooovo3Lkzy5cvL/T5r7/+esaPH8/jjz/O5ZdfTvPmzTnvvPMIDQ1lz549bN26laSkJN566y06depU6OMW1nvvvedprUxPT+fw4cP8+uuvHDx4EHAlah988EGefoRBQUHMmjWLq666irfffpsZM2bQtm1bGjduTHx8PLt372bbtm00aNAgx63mjh070rBhQ37++WdiYmJo1aoVISEhdOnSxbMqyowZM+jVqxeffPIJsbGxdO3a1TPBdWpqKr179/ZM61JSzzzzDH369OHJJ5/ks88+o0WLFuzbt4+lS5dy6623smzZMq/dA2688UamTp3K8OHDWbBgAfXr1wdcg3HyG1xVrVo1PvvsM6688kpeeeUVvvrqKzp06EBCQgKLFy8mPT2dO+64w+vKRSL5ih0LhzaTvnE2b28J97mbVjkpovwmOdSjYkxwXZ64J1Mu6PHaa69Za63dvHmzrVmzpq1SpYrPiW5HjBhhAduxY0fPpL7ZJ+PNyMiwY8aMsc2bN7dVq1a19erVswMGDPA5obM7htwKmgB4zpw59uqrr7b16tWzISEhtkGDBrZr16523LhxOSY1zm9C5Pj4eHv33Xfbxo0b2ypVqhRpwuvsEwbn92jbtm2eurt377b9+/e3devWtaGhofbcc8+1o0aNsmlpaUWe4Nrt119/tXfffbc9++yzbbVq1WxYWJg999xz7XXXXWffffdde/jw4Rz7+3rfC8sdZ/ZHjRo17Jlnnmm7du1qhw0bZpcvX17gcY4fP24nTpxou3fvbuvUqWNDQkJsw4YNbXR0tH3sscfssmXLvF7r1VdfbU8//XQbFBTk9fM9dOiQHT58uOd7GBYWZi+66CI7ceLEPJNRW1vwxNmLFi2ygO3Ro4fXsl69etnTTz/d1qxZ07Zr186+8cYb1uFw5Duh+Ztvvmnbtm1rq1ev7nkP3Z97QROw79y50w4ZMsQ2adLEhoaG2tq1a9vu3bvbjz76yDqdzjz7u7+vzz77rNfjFWbicCmecvG76uAWa0edZu2oOvbNmXM9k1lf8soim5Hp8Hd0AY0CJrg2tpRGnlVWMTEx1tt6qt5s3ryZFi1alHFEUhg7d+6kadOmREVF+VwDWESkMioXv6v+1x+2fEPqBf+g/S9XkZ7p6qIwecCFXNH6TD8HF9iMMeustTG+ytXHUERERMqPPWtgyzcct6H0WnOxJykEeGrWBj8GVjEoMRQREZHywVr4YRQAUxxXcpCck7BrMuuSU2IoIiIi5UPKQUjcxREbxtuZ1/o7mgpJiaFUSk2aNMFaq/6FIiLlSa0G8MBa7kgfwVFq+DuaCkmJoYiIiJQbtkpVNthm/g6jwlJiKCIiIoEtMw1ix8GxBH7YfNDf0VRomuBaREREAtuaKbDoeez2H3kp6d8+d9Nk1iWnxPAUs9ZijBb5FhGRwBOQcxufSIKfXgZgSYMBbP8jBYCwqlWIHd6TM8Kq+jO6Cke3kk+h4OBgHA6Hv8MQERHxyuFwEBwc7O8wclo6AY4n4IjszPDfGno2D+7eTElhGVBieArVqFGDlJQUf4chIiLiVUpKCjVqBNBo36Q4WPkmAF/Vu5cDR13zFNarVZW7uzX1Z2QVlhLDUyg8PJyEhAS1GoqISMBxOBwkJCQQHh7u71A8vp7wAGSe4FvHRTy2/GT/wePpmdQIVW+4sqB39RSqVasWx48fZ9euXZx++umEhYURHBysPociIuIX1locDgcpKSkkJCRQs2ZNatWq5e+wXI7s4hrnIjII5uXMfjmKUtLUwFJWlBieQsYY6tevz9GjR0lOTubgwYNqPRQREb8KDg6mRo0a1K1bl1q1agVOY0WdKAZk/JuWZhc77Zn+jqbSUGJ4ihljCA8PD6imehERkUC0wtmKFbTydxiVivoYioiISOCwFg5s9HcUlZYSQxEREQkcm2bBW52x3z3u70gqJSWGIiIiEhgy0+GH5wDY6ozwuZtWOCk76mMoIiIigWHt+3BkB/aM5jy0tQ1wHIA7OkYx5obW/o2tklCLoYiIiPjf8USIfQmApU0fYOshV1JYMzSYB3uf68/IKhUlhiIiIuJ308Y9CMcTWOU8nzuWnuHZbnGtdCKnhhJDERER8a/E3dzq/A6A5zP6AyfnUjyWrvl+TyX1MRQRERH/qlKdLxxdqWYy+N2e7e9oKjUlhiIiIuJfYfX4d+Y/MTj9HUmlp1vJIiIi4h/WgiPz5EulJX6nT0BERET844/v4a1O8McP/o5EsigxFBERkVPPkQkLnoH4bezYvM7nbprM+tRSH0MRERE59X6ZDoe2YE+L4qG/OuCezLpPdGNe7tPWv7FVYmoxFBERkVPrRDIsegGAlWc/xO9/u5LCaiFBPHrZef6MrNJTYigiIiKn1PsvPQSph1jrbM5tyxp4tgcZQ8Pa1fwYmSgxFBERkVMncQ+3O+cAmsw6EKmPoYiIiJw6R3aSTE0WOM7nF6s1kAONEkMRERE5dZp2o2faq1Qnzd+RiBdKDEVEROSUOkY1jqG+hIFIfQxFRESk7G2dCwufx6Yd9Xckkg+1GIqIiEjZykyH+f+GhL/YeiwMOMfrbprM2v+UGIqIiEjZWv0OJPyFPeNcHtzSCrL6F/a/+Cyev/EC/8YmOehWsoiIiJSd1MMQOw6AH896iG3xrqSwVtUqPHxpc39GJl4oMRQREZEy89kr90NaEj85LuCeFXU8253WUjesqh8jE290K1lERETKxsEt3OT8HgeG/2QOIPtk1qmazDogqcVQREREysaGmVQxTj5xXMI2G+nvaKQQ1GIoIiIiZaPXk9z1g+U359n+jkQKSYmhiIiIlA1jWOi80N9RSBHoVrKIiIiUrm3z4cAmHE7r70ikiNRiKCIiIqXneCLMug+OH2F+5//53E2TWQcmJYYiIiJSemLHwbHDZEZ25qkVJ0chP3ppc/7V+1w/BiaFoVvJIiIiUjri/4DVbwOGqeGDSTiWAUCj06rzz+7N/BubFIoSQxERESkVSyfdC85MZmT25D/rQjzbk09kUC0k2I+RSWEpMRQREZGS++MHutqfSbbVGZ/ZN0fR0ROZfgpKikqJoYiIiJSMtbBwNAD/zbyRw9T2c0BSXEoMRUREpGSMgX4f837mFUx1XOHvaKQENCpZRERESu60SEZn/sPfUUgJqcVQREREim/PanA6OZKa7u9IpBQERGJojAkxxvQ2xow3xqw0xuw3xqQbY+KMMTONMT0LqH+7MWaJMSbJGJNijFlrjBlqjMn3+opbT0RERIADG+H9y2HKpUz4fpPP3TSZdfkRKLeSewALsn7+G1gHpAItgZuBm40xY6y1z+SuaIyZBNwPnAB+BDKA3sBEoLcxpo+11lFa9URERATXgJO5T4B1knBaKz5cHecpeueOaC5r1dCPwUlxBUrLmBP4AuhurT3TWnuNtbaftfYC4FbAATxtjOmVvZIx5mZcyd3fQJusejcC5wKbgRuBB3KfrLj1REREJMvm2bBzCbZ6HR4/fA3uZZG7nVuXS1s28G9sUmwBkRhaaxdaa2+x1i7xUvYpMDXr5YBcxSOznp+w1v6Rrc4B4L6slyO83Boubj0RERHJOM6+zx4F4OnkG/hhZ4anaENcEsYYXzUlwJWXxOeXrOfG7g3GmMZANJAOfJ67grU2FogDGgIdS1pPREREsix7gwgOsckZxQxH7xxFR45l+Kgk5UF5SQzdq27vz7atfdbzRmvtcR/11uTatyT1REREJGkvLH0NgFEZ/8BZblIJKYyA/zSNMQ2BQVkvv8hW1DTreVc+1Xfn2rck9URERCSsAfzfs8zIvITVtoW/o5FSFtCJoTGmCvARUBv40Vo7J1txWNZzaj6HSMl6rlUK9URERCQ4BDrex78z7/F3JFIGAjoxBCbjmkJmD3kHnrh7ttoiHrO49U4ewJh7s+Y8XHvo0KHiHkZERKT8cGRCykEAlv8Z7+dgpKwEbGJojHkduBvXlDK9rbV/59rlaNZzGL65y45m21bceh7W2nestTHW2ph69erlcxgREZEKYt0H8MaFONZ9yHOzNZl1RRUoE1znYIwZDzwIHMKVFP7hZbedWc9R+RwqMte+JaknIiJSOaUehoX/gfSjxO5KY+sBV7tJjdBgFj7ak4a1q/k5QCktAddiaIwZBzwCHAYutdb6+rPEPYVNK2NMdR/7dMi1b0nqiYiIVE4LR8OJRNKjevDQ756Z4/jXJecqKaxgAioxNMaMBYYDR3Alhb/52tdauwf4GQgF+ng5Vg9c8x7+DawoaT0REZFKKe5nnOumkWGDuXLbNRw9cXK12ClL//JjYFIWAiYxNMaMAZ4AEnElhYVprXsx6/klY8w52Y5VH3gz6+VYa62zlOqJiIhUHk4nzH2cICzvO67gT9soR3F8SrqfApOyEhB9DI0x1wFPZb3cDvzLx3I6W6y1Y90vrLUzjTFv4VrGbr0x5gcgA9dI5nBgFjAx90GKW09ERKRS+e0T2LuGg/Y0/pt5o7+jkVMgIBJD4PRsP8dkPbyJBcZm32Ctvd8YsxQYCvQAgoEtwPvAW75a/YpbT0REpNJo0BIaxfDCjotIoYa/o5FTwFhb7On8BIiJibFr1671dxgiIiJlIjH1BO3G/MDJaYBz2jn26lMbkJSIMWadtdZXA1zg9DEUERGRAJF+zPPj+AXb8ZUUSsUTKLeSRUREJBBYCx/3geqnsSV6FB+v2uVzV01mXfEoMRQREZGT1s+EXUuxNc7g+fg/cWb1OOt2bl2m33URPgaHSgWhW8kiIiLiciKZ+C8fA+DxpJtZsvfknIUb4pKUFFYCSgxFRETEZfFY6pLIz85zmOnonqPoyLEMPwUlp5ISQxEREYEDm2DVZBzW8HTGnVilCJWSPnUREZHKzlr47jGwDj5y/B8bbVN/RyR+osRQRESksnNkQER7bFhDxmf28Xc04kdKDEVERCq7KqFw+fPM7Pw1yYT5OxrxoyJPV2OMqQe0AxoApwFHgIPAL9ba+NINT0RERMqUIxOCq3AkNZ0XftjtczfNWVg5FCoxNMY0BgYD1wOt8tlvIzALeMdau7dUIhQREZGysf93+HQAXPEi4zZFekYeNzqtOj880oPqocF+DlBOtXwTQ2PM2cCLwA3Z9j0CbAYSgGQgHDgDOB9onfUYYYz5Chhprf2rbEIXERGRYnM64dtHIHEXB39fwP9+udRTNOq6VkoKKymfiaExZhzwIBAKrAWmAT9Ya7fmU+d84FJgINAHuN4Y84a19vFSjVpERERKZMx/RvK0cw0H7Gn0/rkLWQucEBpsuLRlA7/GJv6T3+CTR4E5QBtr7UXW2kn5JYUA1tot1tr/WmtjgLbAN8AjpReuiIiIlFjqYR5wfATAfzIGkEINT1G6w/qqJZVAfreSY6y1vxT3wNba9cAtxpj2xT2GiIiIlIEfnqWOSWGJozVznJ38HY0EEJ8thiVJCsviOCIiIlIKdq+CXz4kzVbhmcw7Aa1/LCcVeboaERERKccyT0DtSN4+HM0Oe6a/o5EAowmuRUREKpNmPThx73ImZd7g70gkABWpxdAYUwe4H+gFRADVfOxqrbVnlzA2ERERKS1OJwS52oMmr/ibNLxPWK2JrCu3QieGxphzgFigIQV3SNCQJhERkUAy804Ij2Bnm2G8uehPz+Yx17fijk5N/BeXBJSitBiOB84ElgCvAX8AKWURlIiIiJSeh0e/yGvOWaTYaty6uAXpnAFAlSDD7RdH+Tk6CSRFSQx7AjuBS6216WUSjYiIiJSu9FQedbwHBl7N7MPfWUkhQKbTEhykUclyUlEGn1hgtZJCERGRcmTxWBqbeDY4mzDNcZm/o5EAV5TE8Fdc/QtFRESkPDiwEVZMwmkNT2bchQOtfyz5K0pi+ArQ1RjTuayCERERkVLidMKcYWAdfOj4P36z5/g7IikHCt3H0Fr7jTHmYeBbY8xEYD6wF3D62H936YQoIiIiRZaRCrUaYsMa8Ep8P39HI+VEUVc++QU4APw76+GLLcaxRUREpLRUrQX9PmTa96s5uvCQ1100Z6HkVpR5DHsC88AzI+ZhNF2NiIhI4MmazHr34WOMXXLYs/nJq1rwz+7N/BiYBLqitOqNwZUUjgPGWmsTyyYkERERKa5/jR7HPzNnMDLjHjbapp7twUGGO7s08V9gUi4UZfBJO2CdtXaEkkIREZEAlJ7K45nv0CZoB12CNuQocjgtVYKL8mtfKqOifEOO41rtRERERALR4rFEBh1ikzOK9x1X+jsaKYeKkhguAVqVVSAiIiJSAvt/98xZODLjbjI1BlSKoSiJ4dPA2caYh8oqGBERESkGpwPmPATWwTTHZZqzUIqtKH9OxAAfAK8aY26h4HkMp5c8PBERESnQmvdg38/YWhG8cqivv6ORcqwoieFUXPMTGqALUNAKKEoMRUREToWQ6hBai9mNHib1UHWvu2jOQimMoiSG03ElhiIiIhJILvwH20/vwWPvbsT9q3rMDa25o2OUf+OScqcoS+INKsM4REREpIguHjOPA6mOPNurBBn6X3SWHyKS8k4TGomIiJRHxxL4NONBBgXPw+Tq7p/ptAQFGT8FJuWZEkMREZHy6PunaRJ0gCuDV/s7EqlAfCaGxph7jTHBJTm4MSbYGHNvSY4hIiIiufy5CH79iDQbwsiMe7Bq55FSkt83aTKwyRgz0BjjfYiTD8aY6saYQcBm4K0SxCciIiLZpR+Db4YB8EbmjfxlI/wckFQk+SWGtwHVgPeBv40x7xljbjPGNPG2szGmqTHmdmPM+8DfwBQgFLi1dEMWERGpxGLHwpGdZNZtyTuOa/wdjVQwPkclW2s/NcZ8DTwC3A/cBdwJYIxJAxKAZCAcOANXEgiueQ73Ai8Ar1trT5RZ9CIiIpXJvl9g+UTAMDHsQTJ8/BrXnIVSXPlOV5OV1L1gjHkJuAm4AegONAIish5ue4BFwCxgtrXW64ooIiIiUkxVqsOZbdlTqw0Tfgv3bJ4yMIbeLRr4MTCpKAo1j6G11gF8nvXAGFMXqA/UBhKBg9baw2UVpIiISGUX858FxKekE8zDVOHk3IVVqwQpKZRSU5SVTzystfFAfCnHIiIiIt6kHSU+JQ0wOAjGwclJQ9IydYNOSo/Gt4uIiAQypwM+vIm3Q17jDJL8HY1UcMVqMRQREZFTZM17sHc17YJO8znYRKS0qMVQREQkUB3ZBT88B8BTGXeRTE0/ByQVnRJDERGRQGQtzHkIMlJJbHoNC5wx/o5IKgElhiIiIoHol4/gr0XY6nUYcrivz900Z6GUJnVWEBERCTTJ+2D+kwDMjxzGyt9dv66rhQQxf1h3os7QLWUpG0oMRUREAkyX139mYFpXoswBhvx+jmd7sDFKCqVMKTEUEREJMHGphhfoj8GJa6VZl9R0h+9KIqVAiaGIiEigSD0MwSd/NVsNBZBTrEjfOGNME2PM28aY7caYY8YYh49HZlkFLCIiUiFZC3MehEkdaW/+8Hc0UkkVusXQGNMKWAqEk71d28fuJQlKRESk0tnwBWz5Bhtai7/t6f6ORiqporQYPg/UBuYCFwO1rbVBvh5lEq2IiEhFlHII5j4OQGyTB9nPGX4OSCqrovQx7A7sBG601maUTTgiIiKVjLXw7SNw7DCpjbpy78bWgPW6q+YslLJWlMSwKrBGSaGIiEgp2vglbJ6NDQ3joWN3k+5wJYVtGtfmy/s6UyVYN+Hk1CnKt20brlvJIiIiUhrSjpI48yEARqbeyg/7q3qK9iQcU1Iop1xRvnHvAt2NMU3KJhQREZFKpmothqUP4fPM7vzP0StH0ZFjukEnp16hbyVba980xlwE/GCM+Rcw31rrLLvQREREKr7FzvYsdrb3dxgiQNGmq/kr68cmwDdApjFmP+AtObTW2rNLHp6IiEgFdPRvSNwDkR38HYlIDkUZfNIk288GCAHO8rGv9+FUIiIilZ21MGcY/DGfvT1eBs70d0QiHkVJDJuWWRSAMeY84AqgAxADNMeVgPax1s70UWcqMDCfw2611p6fzzlvB+4D2gDBwBbgA+At3SYXEZEy8dsnsG0utmo4T/ys+QolsBSlj+GusgwEV4L2UDHrLgO2e9m+31cFY8wk4H7gBPAjkAH0BiYCvY0xfay1Wq1cRERKT9JemPsEAHMbD2PZRrEYxcYAACAASURBVN/zEmrOQvGHorQYlrUNwMvAWmAdMAXoUci671lrpxb2RMaYm3ElhX8D3a21f2RtbwAsAm4EHgBeL+wxRURE8uV0smrCbVxsk/neEc39G8/zFNWsGszG567wY3AiLsVKDI0xnYCeQKOsTXHAYmvtiuIGYq19L9c5inuowhiZ9fyEOynMiuGAMeY+YDEwwhjzX91SFhGRUrF2Chfb3zlsa/HvjHtw9ZZySU3TDSoJDEVKDLPmMPwY6OjelPVss8pXAAOstTtLJ7zSZ4xpDEQD6cDnucuttbHGmDhcSW9HYPmpjVBERCqczDRYOgGAJzPuJl7rRUiAKsp0NXVw3WaNAlKBOcCfuJLDpsC1QGdgoTEm2lp7pPTD9amXMaYNEAYcAJYCC3y09rkni9porT3u43hrcCWG7VFiKCIiJVWlKvzzR0aP/Q/znBf5OxoRn4rSYvg4rqTwC2CItfZw9kJjzOnAZOAWYDjw79IKshD+4WXbJmPMrdba9bm2u0dX5zeYZneufUVEREokOeQM3ndc6e8wRPJVlCXxrsc1yndA7qQQwFqbANyRtc8NpRNegX4FHgRa4WotjACuAX4DWuJapaVRrjphWc+p+Rw3Jeu5VumFKiIilc6BjbBkPDgyGT1nk7+jESlQUSe4nm2tTfO1g7U2zRizBLiupIEVhrV2Qq5NqcC3xpgFQCyuPoIjcY0wdsvRL7I4jDH3AvcCnHWWrzm+RUSkUstMgy8Hw4H1bDuYysx10T531dQ0EiiKkhhmADUKsV/1rH39xlqbbox5EfgauCpX8dGs5zB8c5cd9VZorX0HeAcgJiZGq7yIiEhei16AA+txnNaEuza282y+vl0Er9+qtZElMBXlVvJmXIM8GvraIavskqx9/W1L1nPuW8k7s56j8qkbmWtfERGRQrtnzOs4l76Owxr6HBjE3mPBAAQZGH1daz9HJ+JbURLDj4CauPrtXZK70BjTC/geV6vih6UTXom41xlKybX9l6znVsaY6j7qdsi1r4iISOGcSObZjP8SZCxvOq7nZ9vcU+S0ULtGiB+DE8lfUW4lTwZuxrUayQJjzD5gB66+ek1xtcwZXFPaTC7lOIujb9bzmuwbrbV7jDE/AxcCfYDp2cuNMT2AxrhWRSn2hN0iIlJJzR9JZNAhNjib8EbmTf6ORqRICt1iaK3NBK4AXsE1yKMR0BXohiuRSs0qu+pUrDFsjGlnjLnGGBOca3sVY8wjuEYrA7zmpfqLWc8vGWPOyVa3PvBm1suxWvVERESKJOMEJOwkzYYwLON+MgJq5VmRghXpG5s1IvlxY8wzuFYPcbcS7gXWWWtPFDcQY8yFnEzKwDXdDMALxpjHssXgXnWlCfAVkGCM2ZYVQy3gAlzT1jhxLXk338t1zDTGvAXcB6w3xvyAa8BMbyAcmAVMLO61iIhIJRVSDQbO4aYn32S7bezvaESKrFh/ymQlgMtKOZZw4GIv28/1sf9vwOvARbgGkrTHdVt7L/ABMMlau87Xyay19xtjlgJDcd0eD8Y1YOV94C21FoqISKFZ63oEBfH7vmQ2Wq2PIOVTwLRxW2sXk31F8YL33wEMK+E5ZwAzSnIMERER1r4Pm77m+DUTGfa/v3zupvkKJdD5TAyNMd2zflxtrT2R7XWhWGt/KlFkIiIi5cDNY6byUeYIqpt0Hhv/Ln85O3rKYof3JOqMmn6MTqRo8msxXIzr1mwLYFu214VhCzi2iIhI+ZeZzrMZE6gelM6Xjq58my0pBJQUSrmTX/L2E64E71iu1yIiIgIQO5Y2QTvYa+vybMYgf0cjUmI+E0Nrbc/8XouIiFRqu5bDkldxWMOw9Ps5WqhVY0UCW1FWPhERERGAE0nw5WDAtbrJWnu+vyMSKRWFTgyNMe8bY+4qxH6DjDHvlywsERGRABZSE9r353iDC3ldq5tIBVKUFsNBuFY6KUgXYGCxohERESkPgqtwostwbj7xDJk+emVpahopj8pi5HAIrlVHREREKpRrxszgQKrlEKflKVvwcHfObVDLD1GJlJ6y6GPYCkgsg+OKiIj4jyODMRnjmVt1BG3N9jzFSgqlIsi3xdBLX8Gu+fQfrIJrzsMLgW9LITYREZHAEfsS7YO2s8+ezk7b0N/RiJSJgm4lD8r2swXOyXrk52/gyRLEJCIiElh2LoWfXsFpDQ+nDyWJMH9HJFImCkoM78x6NsD7wFJgio9904E4YKW1Nr10whMREfGz40fgy3sByyTHDayyLfwdkUiZyTcxtNZOc/9sjBmFK+mb5ruGiIhIBWItzHkIkuM4Vr89r+/W1DRSsRV6VLK1tkkZxiEiIhJ49v8Km2ZjQ8O4N2WwpqaRCq8spqsREREp92L+s4D4lHQ6Bj1J7fQUljrDPWWLHutJ07o1/RidSNnwmRgaY/6R9eNX1tqj2V4XirV2eokiExER8aP4FFd3+ZXOlnnKlBRKRZVfi+FUXCORVwJHs70uLCWGIiJSPv04hm5BVVjibOPvSEROqfwSw+m4EsGkXK9FREQqrk1fw5JXeDckhK5pbxBPbX9HJHLK+EwMrbWD8nstIiJS4STuhtn/AuDFzNuVFEqlUxZL4omIiJQ/jgz44h44kcShRr2Z5rjM3xGJnHKllhgaY84wxgSX1vFEREROqUXPw55VOMLOpM++/rjWdshLU9NIRVbo6WqMMe2Ay4DZ1tot2bZfhms1lAggyRjzhLX23VKPVEREpIw8MPplJjpf+//27jvOiuru4/jnd+/uAoooCqKIii22KJZVsYGGGOsTUbE8KpoiFmyxRPTRNCFqEmPsGBNLjCFRbLFFBaXYQ7FgQUQ6CoICssvu3jK/5487i8uy5e7u3b3t+3699jXuzJmz5x4O65czc2ZIunHaV8OY550BiBhMve4INt1QYVCKQ0tmDC8GbgC+qd1hZr2AJ4CtSC1M2QS4x8z2y2QjRURE2tOyKuNL34RbEiczxXdZuz9wFAqlqLQkGB4EvO/un9fZNxTYALgV6AycSGru/eKMtVBERKSdve27cmTNTdyd/GG2myKSVS0JhpsDC+vtOwKIA79x94S7PwVMBQ7IUPtERETaz4r53/4n3XCtyZQi15K/ARsBFfX27Q9Md/dVdfZ9RurSsoiISO6aMwlu35vgld9muyUiOaMlwXAFsG3tN+FilI2B1xuoM972pomIiLST1UvhiWHgSd6e+3W2WyOSM1oSDKcCB5hZ7WXiy0gtOHmlXrmdgC8y0DYREZHMC5Lw+E+hYikrN9+fM2cf1mhRPZpGik3aj6sBbgOOBt4ws5VAd2AO8GJtATPrAewBjM1kI0VERDLl3pHnca6/yjLvxjELziYZzpGURo2ZI48mGmn4+YUixSDtGUN3fwn4CTAf6ARMBI5z92SdYkOBaHhMREQkt8x+mXOCxwjcuCR+McvovvZQPOkKhVL0WjJjiLs/CDzYRJF7gPtZf5GKiIhIdgUBjPslEXP+GB/Cm8Hu2W6RSM7J6Lp8d69y91X1ZhFFRESyLxKBoU9yR2IwdyUHZ7s1IjmpRTOGtcxsK2AA3z6WZjEw2d0XZ6phIiIimbYw1pU/Jk7JdjNEclaLgqGZbQLcBZzC+rONgZk9Alzk7isz1D4REZG2mfk8LJ5GzaFXceGY6dlujUhOSzsYmlkXUo+m6UfqMTVvk3qYtQHbkXrbyf8Cu5rZIe5elfnmioiItMDXc+DJ86FmFU/P34D3F+3SaFE9mkakZTOGPwP2At4Ahrn7x3UPmtmuwJ+Bg4FLgN9lqpEiIiItFq/ik9tPYGdW8WKynJ/P2nntoQ07RfnwN0dlsXEiuakli09OIfX2k2Prh0KAcN8PgZXAaZlpnoiISCs9dyU7M4+5QS+ujJ9P6gJXSmWN1kiKNKQlwXAnYEK99yKvI7y3cEJYVkREJDumPwTvPkyVl3FB/DJWs0G2WySSF1oSDJ26/9wSERHJRV+8B89dCcC18Z8w07fJcoNE8kdL7jH8DBhoZhu5++qGCphZN+AwYHYG2iYiItJyG/WGbfrzUc1mPDFnQLZbI5JXWjJjOBbYFHjazNa7VGxmOwJPknqH8qOZaZ6IiEgLde3JGwf+hRPnHp/tlojknZbMGP4JOBUYCHxkZm8Bc0ldYt4e6E/qPckzgFsz3E4REZEmXXj9zbyw5jskiYZ7Shstq0fTiDQs7WDo7mvM7HBgNHASqcfSHFy3CPAYcIG7r8loK0VERJoy60XuCkbyWununBW/hqDeBbF5Nx2bpYaJ5JcWvfnE3b8CTjGzbYBDSb0Sz4BFwKvuviDzTRQREWnC13PgiWEAvBHsvl4oFJH0tepdyWEA/EeG2yIiItIysUr415lQvYqXkvsyOvnDbLdIJK81GwzD9yMfCWwL1ADvuvuk9m6YiIhIk9zhmUvhyw+p3nh7rlh6Aa7ZQpE2aTIYmtkpwL3ARvX2vwOc4O4L27FtIiIijXv7HpgxFi/dgB+vuVQPsRbJgEb/aWVm/YCHgW7AGuBdYA6pRSb7AI93RANFRETW4w5zUhevbt3wZ7y5umejRbUCWSR9Tc0YXh4efxgY7u4VAGa2F6lQuK+ZHebuE9u9lSIiIqHyUeNYXhEjwhkcEtmTyUu+u/bYAz/ej8N33jyLrRPJb03djHEo8AUwrDYUArj7u8BlpFYjH9q+zRMREakjXs2qitQT0QIiTA76rXNYoVCkbZoKhlsCU9y9poFjk8Nt78w3SUREpAHu8Mwl/KPst/RgVbZbI1KQmgqGnYCvGzrg7ivrlBEREWl/b42G9x9hd5vHZqZgKNIetK5fRERy35xJ8NJ1APw8fh6f+DZZbpBIYWruOYZbmNmA1hx398kN7RcREWmRr+fC2LPBk0zseQbPL+yf7RaJFKzmguGR4VdDvInjnkbdIiIiTRow8mnujf8fu0RW8HJyb4YtPLrRsnosjUjbNRXeFpAKeCIiIllxZPV/2KV0IbOD3vwsfuE670Gee+MxmFkWWydSeBoNhu7etwPbISIisp6/Jo+hjATPBwes92YThUKRzNPlXhERyVlOhLuSg7PdDJGioVXJIiKSW5bMgAePI1j1ebZbIlJ0FAxFRCR3VHwJ//xfmPcq0//1m2y3RqToKBiKiEhOOHDk80z9/bGwaiHTgx05Y+5RjZbVCmSR9qF7DEVEJPvcuTJ2N+XRWSz2zTgvdjk1fBv+PrvhGKIRLTYRaW+aMRQRkex7/TZOir7KGu/EsNgVLGOTdQ4rFIp0DAVDERHJrsXTYfyvAbgsPpyP9LQ0kaxRMBQRkezqvTfB937B7+On8mKwX7ZbI1LUciYYmtnOZnapmT1sZjPNLDAzN7MhaZx7upm9amarzKzCzKaa2YVm1uTna+15IiKSQWb8rvIY7k4en+2WiBS9XFp8cgFwaUtPMrO7gOFANfAyEAcGAXcCg8zsZHdPZuo8ERFpu4NHPsvPav7MnxJD+JweTZbVCmSRjpNLwfAD4A/AVGAacB8wsKkTzOwkUuFuCTDA3T8N9/cCJgAnABcBt2XiPBERyYAg4JrY7RxX8jY7RD7nxNhvgG8Xl2gFskj25MwlU3f/q7tf5e6PuvtnaZ52TbgdURvuwrqWkpqBBLi6gUvDrT1PRETaasJvOS76Nt94F0bEz6VuKAStQBbJprwNPmbWB9gXiAFj6x9390nAYmALoH9bzxMRkQx4dwy8ejMJj3BR/BI+9T7ZbpGI1JG3wRDYO9x+6O5VjZSZUq9sW84TEZG2mPc6PH0JAL9OnM3koF+WGyQi9eVzMNwu3M5vosyCemXbcp6IiLRWxTJ45AwI4kzsfhIPJ4/IdotEpAG5tPikpbqG28omylSE240ycJ6IiLRC+ahxLK+o4afRY+kf+Zjzvjih0bJagSySXfkcDGvvTvYOOu/bCszOBc4F2GabbVpbjYhIUVheEQOM+5LHcH/yKLzOxaq5Nx6DmRabiOSKfL6UvDrcdm2iTO2x1XX2tfa8tdz9Xncvd/fynj17NttQEZGiFATw4rVsa0vW7vJ6/9tRKBTJLfkcDOeF222bKLN1vbJtOU9ERFri5V/Dm3fyt9LfEUXvCxDJB/kcDN8Jt7ubWZdGyuxXr2xbzhMRkXRNuQ9evw2PlHBt4ickiWa7RSKShrwNhu6+EJgOlAEn1z9uZgOBPqTebvJmW88TEZE0zXoRnr8SgFs6XcjrwR5ZbpCIpCtvg2HoxnD7OzPbsXanmW0O3B1+e5O7Bxk6T0REmnDWyNGs+cdQ8IDbEidwx4oDGi2rFcgiucfcW704N6PMbB++DWUAu5F6XMynwNe1O929f73z7ib1GrtqYDwQBwYB3YCngCHuvt7NLa09r77y8nKfOnVq2p9TRKRgVa1g+U170sO+YWxiAD9PnEfd193Nu+nY7LVNRAAws2nuXt7Y8Vx6XE03oKF/Wu7U1EnuPtzMXgMuBAYCUWAmcD8wurFZv9aeJyIijejSnVsSJ/P9yDSuSZxD/Xcgi0juy5lg6O4TaeVvEXcfA4zpqPNERKRhY5KDGJP8HgqFIvkp3+8xFBGRbEom4NnL4MuZvPDBF+FOhUKRfJUzM4YiIpJn3OG5y2H636j+5GUuW3EDCoUi+U0zhiIi0ir3Xj8sFQq9lDOW/4iqROOhUCuQRfKDZgxFRKTlpvyVc30sSTcuil/CNN95ncNagSySnzRjKCIiLfPRv+G51AOs/y9xDuODfbPcIBHJFAVDERFJ3zefwxPnAs7N8ZN5JHl4tlskIhmkYCgiIunr1pvEMX/ixY1O4M7k4Gy3RkQyTPcYiohI89zBjCBwLv9kV55etnG2WyQi7UDBUEREmrZ6Ce//8X+4puZHfOh9my2uFcgi+UvBUEREGle1Av5+Ansyi6tLxjA0/n/rFdEKZJHCoXsMRUSkYbFKGHMqfPkRs4PeXBK/KNstEpF2pmAoIiLrS8Tg0bNg4dus6bIFQ2PXsIJu2W6ViLQzBUMREVlXkIQnz4PZ44mVdef4VVfyBZtlu1Ui0gEUDEVEZB3DfnsnwQdPstq7cNLqK/g06J3tJolIB9HiExERWce4yh25NHIhS707M3z7JstqBbJIYVEwFBGRlMrlsGEPAJ4JDmqwiFYgixQ2XUoWERF4azTcsS+LPng12y0RkSxSMBQRKXbT/w4vXA3VK7n/yRez3RoRySJdShYRKVLlo8Zx0JoJ3Fp6NxGD38SH8kD1gdlulohkkWYMRUSKVPma17ildDQRc34fP4UHkkc3WV4LTUQKn2YMRUSK0awXub30Dkos4PbEYO5ODl7nsBaZiBQnzRiKiBSj6lVECfhL4hhuSZyc7daISI7QjKGISBH65jsncHpsKR/4doBluzkikiMUDEVEisXC/0KkhIoee/LjB6bwQTMPrxaR4qNgKCJSBM4eeRd3JkbiGINj1zPHG3/NnRaZiBQvBUMRkUK3eDp3JEaxkVXxTLI/873XOoe10EREamnxiYhIIfv8Xfj7YLrZGp5L7s/P4heSJJrtVolIjlIwFBEpVEtmwN8HQ/UqXkjux6XxixQKRaRJCoYiIoWopgL+fiJUrWBa5/5cHL+YhO4eEpFm6LeEiEiBKR81juUVMY6LnMoPo29w0coLiOvXvYikQb8pREQKSTLO8ooYAM8GB/Js0J+mnlOoFcgiUpeCoYhIofj8HXj0LPrZObznO4Y71w2FWoEsIk3RPYYiIoVg8XR46HhYuYCzSsZluzUikqcUDEVE8t3CKfBQavXxW50O4ur4sGy3SETylIKhiEgeO2fkbVT89TioWcXzyf05c9X5WmgiIq2m3x4iIvlqzkRuT/yWDayGp5IHcUX8giafU6iFJiLSHAVDEZF8Vb2KMuKMTQxgROJcgnoXgbTQRERaSsFQRCRPfd77BwyP/Zr3fHtcdwaJSAYoGIqI5JMPnoBuvZm/4R6c/pe3Wbz2sTQiIm2nYCgikidGXn811ybvoYLOnFLzB5ayababJCIFRsFQRCQfvDWaXwSjweDP8f9hKd2bLK6FJiLSGgqGIiK5zB0m3wwTRgHwm/hQHkgevV4xLTQRkUxQMBQRyVXuMP5X8PptOMZV8WGMTR6W7VaJSAFTMBQRyUHlo8axWeVsni27E4hyWXw4zwYHZrtZIlLgFAxFRHLQ8ooYy9mGy+LDWUMnXgn2yXaTRKQIKBiKiOSSmgpY9snab9OZJdRCExHJFAVDEZFcseZrGHMKvvQj+tkI3mvkGYVaaCIi7UWPyhcRyQXffAEPHguLprCCjVjFhtlukYgUIQVDEZEsO2nkgyz64yHw5UfMCrbi6NXXMc+3zHazRKQI6VKyiEg2LZzCXxLXsqlVMC3YiZ/GrmQlGzVaXPcTikh7UjAUEcmWmtUw5mQ2tQrGJ/fmovglVNNpnSK6n1BEOpIuJYuIZEunjVhwyO/4Z+Jwzotfvl4oFBHpaJoxFBHpSO7w1WzosROvfbqc81/ahIrEsGy3SkQEUDAUEek4yQSPjfpfjgsmcHrsWqb7d7LdIhGRdehSsohIR4hVwiNnMsRfwoAetqrZU7TQREQ6mmYMRUTaW8Uy+OepsHgaK7wr58SuYJrvvF4xLTQRkWxTMBQRaU9ffQYPnwgr5rEsugWnrbmCz3yrbLdKRKRBCoYiIu2gfNQ4VlWs4ZWyK9g6sowZQV9+Un0Vy9gk200TEWmU7jEUEWkHyytixCnhF4kf8VJyX06N/VKhUERynmYMRUQyyR2WfrD224nB3kwM9gKsydO00EREcoGCoYhIpiRi8Mwl+IzH6B8ZwVvBbuGBdUOhFpmISK5SMBQRaaPyUeNIVHzFPWW30j/yMVXeiQ2oznazRERaTMFQRKSNNq6cy31lN9M3spQvfRN+EruSD3z7bDdLRKTFFAxFRNpi9ss8WfYrutkaPgj6ck7sCpawWaPFdS+hiOQyBUMRkdaqqYAnhtHN1vCf5H5cHr+AKjqvU0T3E4pIPlEwFBFprU5dGbfbjcx863luSQzB9QQwEclzeR8MzexB4Owminzi7rs0cu7pwAXAnkAUmAk8AIx29yDDTRWRAjBo5OPsVPU+LwT7h3u6Aqdks0kiIhmT98GwjteB2Q3s/6KhwmZ2FzAcqAZeBuLAIOBOYJCZnezuyXZqq4jko6Uf8mB8BL1LlzM0fg1vBN9tsrjuJxSRfFNIwfCv7v5gOgXN7CRSoXAJMMDdPw339wImACcAFwG3tU9TRSTvfPQ0PHk+W0cqeTfYns+C3usV0f2EIpLvivWGmGvC7YjaUAjg7ktJXVoGuNrMirV/RKRWEMDEm+DRoRCv5InkIZwa+yVL2TTbLRMRybhCmjFMi5n1AfYFYsDY+sfdfZKZLQa2AvoDb3RsC0UkVwwc+RTXxW7niOg0km7clPhf/pI8luZebycikq8KKRgebmZ7kroTfCnwGjCugUUke4fbD929qpG6ppAKhnujYChStOKVq9in0yxW+oZcEr+IyUG/bDdJRKRdFVIwPKuBfR+Z2WnuPqPOvu3C7fwm6lpQr6yIFKHP6cGw2BUsZ2MWeK8my2qhiYgUgkIIhu8C00itLJ4PdAP2AX4L9APGm9k+7r44LN813FY2UWdFuN0o880VkZwVJGHCDVC2If/sNASA6f6dBotqoYmIFKK8D4bufmu9XZXAc2Y2DphE6j7Ba0itMoZvbw7y1v5MMzsXOBdgm222aW01IpJDvj/yMX4V+xOHRj8g5lFur+kBTbzaTkSkEBXsqlt3jwE3ht8eU+fQ6nDblcbVHlvd0EF3v9fdy929vGfPnm1rqIhk36KpPJT4OYdGP2C5d+Ps+NV8oVAoIkUo72cMmzEz3G5VZ9+8cLttE+dtXa+siBQid5jyV3jhGnpbnGnBTgyPXdrso2h0P6GIFKpCD4a1/+SvqLPvnXC7u5l1aWRl8n71yopIIXrtFnj5egDuTxzFjYnTiTfwa1H3E4pIsSj0YFj7AtMptTvcfaGZTSe1QOVk4KG6J5jZQKAPqbeivNlB7RSRDlQ+ahzLK2L0YnMeKevFzYlTeDY4MNvNEhHJury+x9DM9jKz48wsWm9/iZldDlwS7vpTvVNr7z38nZntWOe8zYG7w29vauAZiCKS72a9xNcV1QAsZVO+H/uDQqGISCjfZwz7Ak8CX5vZLGARqUfM7AH0BgJSr717se5J7v6YmY0m9fq7GWY2HogDg0g97uYp4M6O+hAi0gFilfDclfDeGC6MDuGO5IkAJJr5Naj7CUWkmOR7MHwPuA3Yn9Rikr1JPYZmEfAAcJe7T2voRHcfbmavARcCA4EoqcUq9wOjNVsoUhjKR42je+Uc7iq9je9EFlPlZU2uONb9hCJSzPI6GLr7XOBnbTh/DDAmcy0SkZzizg+q/sMvyx6is8X5NNiK4fFL+dT7ZLtlIiI5Ka+DoYhIo2KV8NQF3FD6bwAeTQzkV4mzqaJzlhsmIpK7FAxFpDCVdGbNyqUkvQvXxn/K08FBzZ6i+wlFpNgpGIpIwdh/5AtUV67im/DlRb04k052Kgu8V4PldT+hiMi6FAxFpDCsXMCd8V8SKy1haPwanEjqDSatfiu6iEjxyevnGIqIAPD+WBh9MPtHPmGnyGK2suXNnqLLxiIi69OMoYjkr+pVqWcTzngUgJeS+zIiPowVdFuvqC4bi4g0T8FQRPJO+ahx7LTmHf5Q+mf62HLWeCeuTwzlX8nDAct280RE8paCoYjkneUVMU6PfkIfW857wfZcFh/OHO+d7WaJiOQ9BUMRyR+xNVC2AQB3J3/IV3TjkeRheq2diEiGKBiKSE4rHzWOlRVruCD6NGeUvMxxNTcAG5OghH8kv79eed1LKCLSegqGIpLTNquczQNl97BHZB4Ah0ffYWzysKy2SUSkUCkYikhuSibg9T/xTNmNlFmShUFPrkqcy5vB7tlumYhIwVIwFJHcs+wTePI8+Pwd8PAP0wAAGadJREFUygweTgzixsTpVNKlydN0L6GISNsoGIpIzigfNY7lFTH2tU8YW/Yun9ODq+Ln8kbw3QbL635CEZHMUjAUkdywYj7LK2IATPOduTh+MZOCPalggyw3TESkeOiVeCKSXbE18OK1+O17c0hkxtrdzwX9mwyFumwsIpJ5mjEUkawoHzWOXdZM47cl97Ft5EsCN3a1+bzGHg2W12VjEZH2p2AoIh2vYhnX1dzC4LI3APg42JoR8XN533fIcsNERIqbgqGIdKwFb+FjTmVwdCXVXsptiZP4S/KYZt9eIiIi7U+/iUWk3dWuNgboRiXjO8HMYA+uS/yEBd6r2fN1P6GISMdQMBSR9hWr5JSqR7mfo6mmE9+wIcfXjOQLNgWswVN0P6GISHYoGIpI+3CHmc/hL4zgqtJFdLYYtyROAeALNsty40REpCEKhiKSUeWjxrFh5QJ+WfJ3BkXfwYAPgr68ktwnrfN12VhEJHsUDEUkc2oq+HH1Q5xT9jydLME3vgF/SJzCP5LfJ2jksam6bCwikjsUDEUkY5JzJnFhydMAjE0M4PeJ01jGJllulYiIpEvBUERarXzUOCIVS/mS7uEe57qSo3ku2Z93fKdmz9dlYxGR3KJgKCKts3oJP6++kxM6vcqxsRv51PsAxqjE0EZP0WVjEZHcpncli0jLxKtg8s347ftwaslEAPaKzM5um0REJCM0Yygiadlv5IscWDWZq0r/RR9bjgEvJfflhsTpzPMtmz1fl41FRHKfgqGIpOWsmjFcXPYUAB8H23B9YihvBrs3Wl6XjUVE8o+CoYg0LhGDkjLemvMVjyQP5/jI69yZHMxjyYGNPn5GRETyl4KhiKyjfNQ4yio+59KSJ9g5soATYtfjRICeHBb7U1qBUJeNRUTyk4KhiHyrcjnnV9/H0E7j6GQJEh5hD5vL+74DgB5SLSJS4BQMRYpY+ahxLK+IsSFVnBN9nmElz3FOSTUATycP5JbEkLQWloiISGFQMBQpYssrYoDz77JfsGPkcwAmJPtxc+JUPvS+adWhy8YiIoVDwVCkGMWr6nxjPJI8jB8wlT/ET+W/vmujp+mSsYhIYVMwFCkS5aPGsbqigtOiExhe8m8eSBwF/BCA+5LH8JfksYBltY0iIpJdCoYixSBWyfFVT3J+p2fpaasAOCjyIfck/wcwrTQWERFAwVCkINVdVDI0Oo5zSp7nF6XfAPBB0JfbEyfwUlBOUzOEumwsIlJ8FAxFClBqUQnsH5nJ1aX/AuDdYAduS5zIhGAvmrtkrNlBEZHipGAoUkhWLcLnvgp0A2BCsBePJgbybNCfycGeNBYINTsoIiKgYCiS98pHjaN75RyGRZ9jcPQ1Ijh97BYW+eaAcVXivGw3UURE8oSCoUi+coe5k/lDzUgO7/QeAEk3ng8OwPC0q9FlYxERqaVgKJJHaheVlJDgsbJfs1dkDodHocrLGJscyH3Jo5nvWzRZhy4bi4hIYxQMRfJF5XK+qqgGIiQoYaFvzla+nL8ljuTh5PdZyUbNVqHZQRERaYqCoUiOqp0d3NXm8+PoCxwffYOBkZ8xMdgbgN/Ez2Y1Xaih8bCn2UEREWkJBUORXJSIcdCaiQwte4n9IrMACNzoZ3OYSCoYLmfjbLZQREQKkIKhSA6onR0E+HH0Pwwv+Te3l6UeSL3au/BYcgAPJo9s9v7BunTZWEREWkrBUCTbkgkqKlYDnQDoQg097Rs+Drbm78kf8FTyYNbQudlqdNlYRETaSsFQpAPVnRnsY8s4NTqBk6OT+Gn0CO5KDgbgX8nv8d9gF6b6zjT3hpJamh0UEZFMUDAU6UAVFas5PjKFIdHJHBz5kIilnjd4QOTjtcHwa7rxtXdrsh7NDoqISHtQMBRpJ3VnBwFOi77Cfzv9g25WBUCNl/J8cn/+mfge//Vd0q5Xs4MiItJeFAxF2kmXyoXsYAk+860AWOrd6WZVvBvswGPJATydPJBv6NpsPZodFBGRjqJgKJIBtbOD3fmGY6NvMzj6Oq92msWzyQO4KH4pAJODPTmi5vd86n3SrlezgyIi0pEUDEVaqP4l4m5U8oPoVI4rfYtDIjMosQCANd6JCu8COGAkiTYZCjUzKCIi2aZgKNJCdUMhwJnR8VxV+ggACY8wMdmPJ5MHMy4oT+sxM6CZQRERyQ0KhiJNqDs7uAmrOSI6jftL/8vUYGfuTh4PwDNBfw5JzuCZ4EBeSO7HCppeUQyaHRQRkdykYCjShM6Vi/hRdDpHRKZxQOTjtZeJt7Sv1wbDhd6L0+PXpV2nZgdFRCRXKRiKhOrfO3hlySO81unfa7+Pe5TJyT34T7A/LyXL065Xs4MiIpIvFAylKNUNgRtTwYDI+1wTfZcXI/vxUrAfADOC7VntXZgU9GNcch8mBHul9XiZujQ7KCIi+UTBUApe/ZnAEhL0s884s2QGh0ZmsJfNJhq+gSSCrw2GrwR7s2/NPcQoTevn9OhaxtTrjsj8BxAREekgCoZS8JZX1IT/lXrv8P2lf2BAdMba4zGP8lZyFyYEe/FKsPfa/fFm/nroErGIiBQaBUMpGN/ODDrb2RIOjHzEgZEPmdLpY34S+zkzfHsApgY7s5Ut59VgD14L9uDNYDcq6dKin6VLxCIiUogUDCUv1b88XEacM6PjKS/9hP0in9DTVq1bPvIJM5KpYHhncjC3J09s0c/T7KCIiBQDBUPJefVDYA9WsVdkNn2iy3gweRQAMUq4qORJNrUKAJZ5N94OduWtYDfeDHbjM++99vyASIt+vmYHRUSkWBR9MDSz04ELgD2BKDATeAAY7e5BNttWjOqHwA2opl/kM06MzmGPyFz62WdsE1kGpN4y8kjyMKroDBi3J06kks5MDXZmrm9B7T2FLaEFJCIiUsyKOhia2V3AcKAaeBmIA4OAO4FBZnayuyez2MSCUT/wrc/pxQq+G5nPV7bx2vsBB0beY3TZbeuUrPROvBfswDu+I2UkqAr3184epkshUEREZF1FGwzN7CRSoXAJMMDdPw339wImACcAFwG3NVqJNKj5EAh72md8NzKPnWwR37FF7BJZwGa2GoBHEocxInEuAO8H2/NusD0zgu1531PbWd6nxZeDdY+giIhI84o2GALXhNsRtaEQwN2XmtkFwETgajO7Q5eUGw97BngD5cuI08eWsZ19wXa2hO3tc36bOHPt6t8rSx5d55ExAKt8Az4K+jLL+6zdt5ieDI6NalPbdY+giIhIeooyGJpZH2BfIAaMrX/c3SeZ2WJgK6A/8EbHtrDjpDO715AoSbbgayAV3gB2tEWMLHmQrSNf0puviNi6kXFMchAfhJeIJwZ7sYxNmBX0YZb34ZNgaz5nM1pzX2BdujwsIiLSekUZDIHapxh/6O5VjZSZQioY7k2WgmFrQ1tblJJgM1axlO54eLl2SHQS37W59LIVa7+24Gui5jyZPJjL4hcCEKOUA6MfAZB0Y2HQk7m+BXN8S+b4liz17mt/zv3Jo6GNd28qBIqIiGRWsQbD7cLt/CbKLKhXtsO1JhRuxio2sGq6EKMLNXSxGBtQTVeqmOtbrl3UsavN5/ySZ9iECja2Cjahku62mo1tDQD7Vd/FMlJB7sjIFI6ITl/n5wRuLPHurPHOa/ct9h6cFRvBfO/FYu9BIoPDSyFQRESk/RVrMOwabiubKFMRbjdq57Y064zoeC4vGUsEJ0KA4URwSkkSo4Q9au5bW/axsl+zXWRpg/XcmziWGYlUMOzGGo6Prj8RmvAIX9GNjayKZeEM3+PJAbwZ7M5S785S34SldGepb7reO4STRJkc9Gvz51UIFBERyY5iDYa1N7I1tG6i+ZPNzgXOBdhmm20y1aZGdSK+dsXuenzdj/CFb0Y0CKiiE1WUUUMZld6ZCrrwcfBtW2f5VlwaG84qurLSu7KSDVnpXVnFhmsvIdd6Idg/I59DgU9ERCS3FWswrE1ZXZsoU3tsvUTm7vcC9wKUl5e3Kly2xJjk93gqeTABVme+EOKUEK/3R3h6/Lq06lxBN/4dHNLmtjW2KlkhUEREJP8UazCcF263baLM1vXKZk01naimU7abobAnIiJS4Io1GL4Tbnc3sy6NrEzer17ZDteja1mHrEpW4BMREREo0mDo7gvNbDqwD3Ay8FDd42Y2EOhD6q0ob3Z8C1MU1kRERKQjtey9YoXlxnD7OzPbsXanmW0O3B1+e5PeeiIiIiLFoihnDAHc/TEzGw1cAMwws/FAHBgEdAOeAu7MYhNFREREOlTRBkMAdx9uZq8BFwIDgSgwE7gfGK3ZQhERESkmRR0MAdx9DDAm2+0QERERybZivsdQREREROpQMBQRERERQMFQREREREIKhiIiIiICKBiKiIiISEjBUEREREQABUMRERERCSkYioiIiAigYCgiIiIiIQVDEREREQEUDEVEREQkpGAoIiIiIoCCoYiIiIiEFAxFREREBFAwFBEREZGQgqGIiIiIAGDunu025DUzWwbM74Af1QNY3gE/J5+pj9KjfkqP+ik96qfmqY/So35KT1v7aVt379nYQQXDPGFmU929PNvtyGXqo/Son9KjfkqP+ql56qP0qJ/S0979pEvJIiIiIgIoGIqIiIhISMEwf9yb7QbkAfVRetRP6VE/pUf91Dz1UXrUT+lp137SPYYiIiIiAmjGUERERERCCoZZYGanm9mrZrbKzCrMbKqZXWhmrfrzyHR9uSBTn8nMHjQzb+JrZnt9hvZkZjub2aVm9rCZzTSzIPw8Q9pYb0GNpUz3UyGOJzMrNbNBZvZHM3vLzL4ws5iZLTazx8zssDbUXTDjqT36qUDH08Vm9qiZfWxmX5lZ3MyWmdl4MzvTzKyV9RbMWILM91Mmx1JJyz+OtIWZ3QUMB6qBl4E4MAi4ExhkZie7ezJb9eWCdvpMrwOzG9j/RVvamkUXAJdmssJCHEu0Qz+FCmk8DQTGhf+9BJgGVAK7AScBJ5nZSHf/ZUsqLcDx1C79FCqk8TQC2Bz4AHiDVB9tC3yP1J//EDM70d2DdCsswLEE7dBPobaPJXfXVwd9kfrl4eEf0E519vcCPgqPXZqt+nLhqx366MHwnB9l+7NluJ/OAX4PnALsAEwMP+eQXOj3XPlqh34quPFE6n9EjwGHNnDsVCARfubDi3k8tVM/FeJ4OgTYsIH9u5MK1A78uJjHUjv1U8bGUtY7p5i+gKnhH9xZDRwbWGfwR7JRXy58tUMfFdwv3kY+Z1sDT8GNpXbqp6IYT/U+81/Dz3xfC84pivGUgX4qqvEE/CL8vGNacE4xjqXW9FPGxlJeXpvPR2bWB9gXiAFj6x9390nAYmALoH9H15cLCvEz5QP1uzTjnXDbJ53CRTyeWtRPRSoRbqvTKVzEY6lF/ZRpusew4+wdbj9096pGykwBtgrLvtHB9eWC9vxMh5vZnkBXYCnwGjDOW37/RiEqxLHU3oppPO0UbtO9R6lYx1NL+6mugh9PZrYdcH747TNpnlZ0Y6mV/VRXm8eSgmHH2S7czm+izIJ6ZTuyvlzQnp/prAb2fWRmp7n7jBbWVWgKcSy1t6IYT2a2BfCj8NvH0zyt6MZTK/uproIbT2b2Y1KXektJzaIeROpJKDe6+5NpVlPwYylD/VRXm8eSLiV3nK7htrKJMhXhdqMs1JcL2uMzvQtcQuqG3q5Ab+A44D1SqwnHm9lWLW9qQSnEsdReimY8mVkJ8DCwMfCyu6c7e1FU46kN/QSFPZ4OBs4GTgcGhPt+AVzfgjqKYSxlop8gg2NJwbDj1D6TKFOvmsl0fbkg45/J3W919zvc/SN3r3T3L9z9OWB/4C1Sjwu4JlM/L08V4lhqF0U2nu4h9diMhcCZLTiv2MZTa/upoMeTu5/j7gZsQCqs3Ar8GnjLzHqnWU3Bj6UM9VNGx5KCYcdZHW67NlGm9tjqJsq0V325oMM+k7vHgBvDb49pS10FoBDHUocqtPFkZrcBPyX12IxB7r6kBacXzXhqYz81qpDGk7tXhWHl56SCST9Szx9MR9GMpTb2U1P1tngsKRh2nHnhdtsmymxdr2xH1pcL5oXbjvpMtU+Cz9dLNZkyL9wW0ljKhoIYT2b2R1KXpJaRCjuftrCKeeG2oMdTBvqpOQUxnup5INz+j5mVplF+Xrgt6LHUgJb2U3NaNJYUDDtO7aMMdjezLo2U2a9e2Y6sLxd09GfaLNxWNFmq8BXiWMqGvB9PZvZ74HLgK+AId/+oFdUU/HjKUD81J+/HUwNWknoUSwmwaRrlC34sNaKl/dScFo0lBcMO4u4LgelAGXBy/eNmNpDUiqQlwJsdXV8uyMJnOiXcTslAXXmrEMdSluT1eDKzm4CfAytIhZ33WlNPoY+nTPVTGvJ6PDViAKmwsxJY3lzhQh9LTWhRP6WhZWOpo57krS8HGMK3T2nfsc7+zYEPaeDVPqTuDZhJaul6m+vL9a9M9hGwF6lVWdF6+0tI/Ws/GdZ3ZLY/dwb6bSLNvNGj2MZSpvupkMcTMDJs+wpg3zTPKbrxlMl+KsTxBBwKnAF0auDYwcBn4We6uZjHUqb7KdNjSc8x7EDu/piZjQYuAGaY2Xi+fRl4N+Ap1r/ZdEtg53CbifpyWob7qC/wJPC1mc0CFpF6pMEepJbyB8AId3+xfT5N+zGzfYC76+zaLdzeYGZX1u5097pvAyiqsQQZ76e+FOB4MrMfAteF384GLjazhorOdPeb6nxfVOOpHfqpL4U3nnYgdX/cnWY2ndRM3kbh/tq/e8+RehxLXUU1lsh8P/Ulg2NJwbCDuftwM3sNuJDUQy2jpP4FcD8w2lv4pPtM15cLMviZ3gNuI7Vcf1tST8Z3Un9pHgDucvdpGW5+R+kGHNDA/p0a2JeWQhxLZLafCnU81b2HqTz8asgk4KZGjq2nAMdTpvupEMfTJFKzqocC3yH1sGYjFXweBx5296daWmkBjqVM91NGx5KF040iIiIiUuS0+EREREREAAVDEREREQkpGIqIiIgIoGAoIiIiIiEFQxEREREBFAxFREREJKRgKCIiIiKAgqGIFAEz81Z8PRiee1j4/cTsfoq2M7MR4Wc5qg117GNmgZndnMm2iUhu0JtPRKQY/K2BfVsARwKVwGMNHH+tXVvUwcxsS+BaYLK7v9Daetx9upk9AVxiZn92908z1kgRyTq9+UREipKZHQZMAOa7e98mym0AbAOscfcFHdO6zDOze4FhwCB3f6WNde0BvA887u5DMtE+EckNCoYiUpTSDYaFwMw2I/Xe1M+BHT0Dv/jNbAqpd7Jun8+BWUTWpXsMRUSa0Ng9hmbWN9w/z8wiZna5mX1oZlVmtsjMbglnGzGz7mZ2a1i2xsw+NbPLm/iZZmanmdlLZrY8PGeBmf3FzPq24mP8BOgMPNRQKDSzTczshrD9a+p8holmdk0jdf4NiALntaI9IpKjFAxFRNpuDHA9MBd4CdgQuAx43Mw2Bd4GTgWmkLp3sS/wRzP7v/oVmVkpqXse/wkcAnwEPE3qXshzgOlmVt7C9g0Ot+Mb+HkbAK8D1wA9wjJPAbOB3YBfNVJnbV3Ht7AtIpLDtPhERKRttgWqge+4++cAZrY18A5wFDAJeA8Y6u7V4fFjgWeBq83sVndfU6e+kcCJwGTgDHdfVHvAzC4C7gD+ZWa7uHuiucaFwW8/IA5Ma6DIEFIB8DlgcN06zSwKDGyk6k+AFcDuZtbL3Zc21xYRyX2aMRQRabtLakMhgLsvBB4Ov90WuKA2FIbHnyO1eGMjYO3sXzi7eAlQAZxcNxSG591JKsDtABydZtt2B0qBuXXbUEevcDu+ftB092RjC1XCS9Ifh9/ulWZbRCTHKRiKiLRNHGgoPM0Ot1PdfXkDx2sf89K7zr7DgS7AJHf/spGfNyncHphm+zYPt181cvy/4XaEmZ1pZpukWS/A1+G2V5OlRCRv6FKyiEjbLGnkkm5FuF3UwLG6xzvX2bd9uD3WzJpbOdwzzfZtHG6/aeigu08ys98DVwJ/B9zMZpK6F/Jxd3+xibpr62xJmBSRHKZgKCLSNkEbj9cVDbefAG81U/btNOtcGW67NVbA3UeY2T2kFpIcAhxM6pmHw8zsJeDYRsJvbZ0r0myLiOQ4BUMRkdyxMNzOcPcfZajO2kvSmzVVyN3nAreGX5jZIaRWRv+A1ONu7m3gtNo6G7vsLSJ5RvcYiojkjvGk7ln8fgvv9WvKh0ANsJ2ZdUn3JHd/DXgw/LZf/eNmZsAu4bfvtLGNIpIjFAxFRHJE+MiXu0jds/e0me1Sv0z4sOxzzCytBR/uXkXqsnMpsG8D9Z1gZgPMLFJvfxfg++G38xuoehegO/BhEwtlRCTP6FKyiEhuuYrUSuVTgA/M7F1SD87uDGwN7AqUhdt0nx34FDCAVNB7rd6xgcClwDIzewdYRmrBykHApsBM4M8N1FkbGv+dZhtEJA9oxlBEJIe4e9zdTyW1EORZUiHxeFJBrYTUW1ZOAD5rQbUPAlXAWeEl4PrHfgfMAr4LnAzsT+pxO5cB+7v7qgbqPBtI0nBoFJE8ZRl4l7qIiOS4cNXxecCgxh5a3YK69iD1gO7H3X1IJtonIrlBwVBEpAiY2RakZgXfcffGXnOXbl2PAT8Ednf3T5srLyL5Q5eSRUSKgLsvAUYBA8zsqNbWY2b7kHqX8x0KhSKFRzOGIiIiIgJoxlBEREREQgqGIiIiIgIoGIqIiIhISMFQRERERAAFQxEREREJKRiKiIiICKBgKCIiIiKh/wcS9+r+OK/3VwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10,10))\n",
"plt.plot(t_heun_3c,num_eul_3c[:,0],'s-',label='Explicit Euler Method with drag')\n",
"plt.plot(t_eul_3c, num_heun_3c[:, 0], linewidth=2, linestyle='--', label='Implicit Heun Method with drag')\n",
"plt.plot(3.43776495,2.99999999e+02,'*', label='Implicit Heun Detonation')\n",
"plt.plot(3.43776495,2.95950503e+02,'*', label='Explicit Euler Detonation')\n",
"plt.legend();\n",
"plt.xlabel('Time (s)')\n",
"plt.ylabel('Position (m)')\n",
"plt.title('Rocket Height vs Time');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## References\n",
"\n",
"1. Math 24 _Rocket Motion_. <https://www.math24.net/rocket-motion/\\>\n",
"\n",
"2. Kasdin and Paley. _Engineering Dynamics_. [ch 6-Linear Momentum of a Multiparticle System pp234-235](https://www.jstor.org/stable/j.ctvcm4ggj.9) Princeton University Press \n",
"\n",
"3. <https://en.wikipedia.org/wiki/Specific_impulse>\n",
"\n",
"4. <https://www.apogeerockets.com/Rocket_Motors/Estes_Motors/13mm_Motors/Estes_13mm_1_4A3-3T>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}