Skip to content
Permalink
master
Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
Go to file
 
 
Cannot retrieve contributors at this time
{
"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": 184,
"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": 185,
"metadata": {},
"outputs": [],
"source": [
"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",
" dstate = np.array([state[1], u/state[2]*dmdt, -dmdt])\n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {},
"outputs": [],
"source": [
"def eulerstep(state, rhs, dt):\n",
" next_state = state + rhs(state) * dt\n",
" return next_state\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",
" return next_state\n",
"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",
" 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",
" return next_state"
]
},
{
"cell_type": "code",
"execution_count": 190,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA5wAAAKcCAYAAACExbVlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdd3wU1frH8c+TRg0QOtI7SFPKpak0pYg0iYKIol4LgqLXLl6velWwKyoCohewgBSpPwUEKYoUKSoIKKA0RZAqHUI4vz9mA5tkN42ETeT7fr3mtZs558w8MxtCnpwz55hzDhEREREREZHMFhbqAEREREREROTvSQmniIiIiIiIZAklnCIiIiIiIpIllHCKiIiIiIhIllDCKSIiIiIiIllCCaeIiIiIiIhkCSWcIiLZkJlVNbNXzWyVmR0ws5Nm9oeZfW9mk8xsgJnVMzML0HaBmTkzGx2C0DONmW3xXcfTITp/wn1Mup0ws51mNtfM7jWzfKGILy3MbJEv5vdCHcu5MLP2ST6Dr9LYbkqSdj2zOtZU4tnpi+OxUMYhInI+KeEUEclmzOxfwFrgAeBSoCAQCZQE6gHdgSHA90CREIV5IYsCSgBtgDeBH8yscmhDyn7MrIZfotckkw9/mZlVSOX8hYGrM/m8gc7jnwyXzOrziYjkNEo4RUSyETPrDbyGl2BuBf4F1AeKA6WBy4EngFWhivECtA2I9tvKAO2Axb7yysBkM9P/qefHQcCA3qnU64n3x4GDWR6RiIgEFRHqAEREJJHnfa+bgQbOuf1JyncAi4BBZtYYOJL0AM65llka4YXHOecO+319GPjdzOYCK/B6oesCVwGzQxDfhWYScBtwE/BcCvVu8r1OBP6Z1UGlhXNOPaAicsHRX2NFRLIJM6sGlPN9+V6AZDMR59wy59yxrI9MAnHOnQZe9tt1WahiucBMBI4D1czsH4EqmFlVoAlwGhh7HmMTEZEklHCKiGQfRf3eH8roQVKaNMjMnvaVbfF9Xd3M3jezbWZ23Mx+MbOXzKyQX5vcZvYv3wRGB83sLzP7wsyapTUGM+tiZnPMbLeZHTOztWb2HzPLm9Hr9B03wsxuM7NZvglZTvrO8YWZ3RhoUqVM9pPf++KpxFrczF4ws9W++3jUzDaZ2btmdnFaTmZmLc3sA9/ndMT3Waw1sw/NrJOZpWvkkpkVMbOlvs9qv5klS5rN08PMppnZDt+kSXt9n/Gdgc5pZjuB9X67lgSYfCmjvX0HgBm+9zcHqZPQuzkXb1RAqsyspJm9aGZr/D6fjWY2wsxqBKif28wcMNNv9x9JrvF4kjapThqU3jj82vX1P6eZlTCz13zfY8fNbI+Z/Z+ZXZ6W+yEikmmcc9q0adOmLRtsQE3A+bZp53CcBb5jjA5Q9rSvbAvQFm94qAuwrQQKAIXxnlUMVOck0C61GPCGCQdq7/AmRyoR5BhbfHWeDlJeDm/ipGDHdsDnQL5zvI9bUqjTwO9cL6RQrw3wVwpxngLuSaF9XuCTVK7VAbWTtFvk2/9egGOWxUsKHV5SVjdAnaLAV6mcczFQJEm7nWmItWQ6Pov2fu2aAJ1873cDkUnqGvCrr7w3UMOvbc8gx2+L96xnsFjjgL5J2uROwzUeD3JfHsusOPza9k04J97kYsE+g3igx7n+vNKmTZu2tG7q4RQRyT5+An73ve/s69GonkXnKoSXwPwEdMDrnavI2WdI6wMPAe8DtfAmL6qEl4B0wUtQIoGRqfSqtQAG4j3beJmvfW282V0dcDEwMb09kWZWAJiH94v1XuBBvIQ9BqgGPA4c813biPQcO538e5zWBYm1Ol6PXAFfrH2B8ngz3XbFS/rCgbfMrFuA9ob3WfXw7ZqJd10X4d3P+ngzGv+Q1qDNrCbwjS/+TUBz59zqJHWigFl4E1UdBv6D96xqYbzvhQF4SXRTYFySz7ASXjKeoDWJJ16KBnalNd4AZgF78K6/Q5Kyy/C+l48AU1I7kK93eZovpt3AXXh/zCgBdAN+xpvzYpiZdU5o55w77mvj/5lVJvE1pnkW6YzGEUA4MB3vM7sRb7Kx4sB1wB94o9uG+/4NiYhkvVBnvNq0adOm7eyG9wti0h6JrXjPrT0KNAPCUznGAlLv4UzoxcwToM5HnO1NiQOaBKhzpd9xkvVy+sXg8BKkZDHjJTAJdboHKN9CkB5OziasB4HqQe6Df4wNM/BZJFzDliDlYcB3vjp/BrqXvnr/56tzlCQ9kL7yGLykzwG/kbzHrrffdbySSszhSb5O1sMJNMZL1pwv/mA9zAN9dU4E+h7w1bnUV+6Aa5KU+fcsBmyfjs+ifdJjAW/5vp6YpO5I3/4PAsSRrIcTL3l1eAlqzQDlRTjbY7oNiEghthR7bUmhhzMT4ujrF8dmkvQ6++o086tzy7l8Jtq0adOW1k09nCIi2Yhz7mO85Rz+8NtdDogFXsDrldpmZo/4eqDOxaMu8KRDn/heI4BPnHNLA9T5Ei9pAS+BSckDzrn4APsHc/Y6b00t2ARmlo+zs47+1zn3c6B6zrm5eL2g4CXyGWVmlt9vK21mbYGvgUvwepK6BbqXZnYRZ9eCfNs592OAOPfj9ciC1xuVtMfuPt/rBrw/OgQV5D77x9MO77MrAiwEWjjnkvU0+nor7/V9+VaQ7wGcc9/hzRoL53aPM+ID32sn8z1zbGa58Hry/MuDMrOyeMNYAYY459YnreOc24u3FBF4w5DbJq1zrrIgjqd89ZMeYzHe9xFAo4xHLCKSdko4RUSyGefceLwhiT2AD/F6NfxdBLwIfHkOk+6cwEs4AvnF733AZT6cc84vrpQmf/kp0C/PvmPEcXbyl6ATEAXQDO+ZRoCFSZLBRBuQMEy0YTqOn1Q5vEmcErbf8O5LM7w/AFRzzn2TQqwJQ00npnCOaXjPxII3hBUAXyJV3/flR6kllCkxs1549zsfMBVo75wLtkZlbc5+rgtSucdrfPXO5R6nm3NuOd4wU/8kswtQEG/I97wgTf01J22fzxS852zB7/PJRJkdx8wUyhL+QKMlWkTkvFDCKSKSDTnnjjvnJjjnbnbOVcZ7bq4LMB5vqQfwnlUbnMFT7PYlfIH499T9EaSOf708KdT5KYUyODuTaUw6ninzf671WxIng0m3+331iqXx2OnVHHgkhfLyfu8DPuMJ4Jw7iTesNmmbipz9v/r7jATo0xZvqHQk3nO5sc57BjEY/3s8g5TvccL3YFbd45R86HtNmK02YXbaj523bE1q0vr5HOfsH1jKB6t3DjIzjlPOud0pnOuo7/WcZogWEUkrJZwiIjmAc26/c266c64ncC3eM1gAd/iGEaZXWnvK0lIvpQl/DqfS1r88Og3nAq8HK71yZ6BNgq3OOXPOGd7/m6Xwho9u9ZXfb2a3BGmbcE3OOXcklfMkLIXjfx8KBCjPiEKc/Zz2p6Gn9Hzf44z6EO/fQnPz1uRs79uf6nBan4R7fco5dyKVuoE+n8ySmXGk9d92Vi8ZJCICKOEUEclxnHPT8Jb7AK93MejafNlA/nSUpzWhSpSkJiSDqWwV0hV1EM6z0zk3FmgJ7PcVvWZ+a5f6Sbgm8z17mpKEe+F/H/zfn0uiMwEY4nv/kJm9lEp9/3tcJY33+LwnnM65bXjLthgwDu+54+8DPSsbRML9jUjDH24CfT6ZJbvEISKS6ZRwiojkTGv93mfnoXGpJcM1fa/7U3ieMCn/Z1ovSX9ImcM5t4Wzk/3E4C0jk9QWv/cXBzuWbwKoKgHa/MrZIdTndK3Oufs5m3Q+nErS6X+PLz2X854HCcNqKyX5Oi22+L1P6fPJ7Xf8LcHqnYPsEoeISKZTwikikjOV8Xu/I2RRpK6GmQVMOs0sEujk+3JxOo65EG/SI0jH7LZZ5D1go+/9vQF6ORdzdvhz9xSO0wlv8hvwljIBwDl3AFjh+/JGMws/l2ADJJ0vBqm6Cm/NUMj4PfZ/Rvic4k7FRM4+TxwPjE1H229I2+fTBe/5V/D7fHwy4zozIw4RkWxJCaeISDZhZpXN7DkzK5xKvUvwnuME2Oic25pS/WzgdTML9P/N43jPQwKMSuvBfD2h7/u+vMXMUvoFHTMrYGalUqqTUb5nIZ/zfVkAGJCk/A/ODn++18xqkoQvSU2YeOd3ks8w+qbvtTowKKV40pKQJkk6HwmUdPquK6HO1WZ2dyrnzeNb2sOf/7IcF6UWV0b5vh8uxustr+ac25mOtr8BX/i+vM/MqietY2YxnL3v20g+c/M5X2cmxSEiki0p4RQRyT7y4K2z97uZjTOzm8zsYjMrYmZFzayhmf0X75m1hOflngh6tOxhC95ELp+ZWTMzK+y7pjeAp311vgYmp/O4A/GWdwgDJprZ+2bWwsxKmFmMmVU1s+5m9h6wHW822azyMWfXNrzPt1SIv4fweuDy4i3jcoeZlTGzYmbWGa+nqqqv7oAAsweP5ezyMY+Y2Qwza2dmJX33s56Z3Wtmqzg7RDlFAZLOFwJUewlY5nv/jplNMLO2vvPGmFklM+tkZm/jJUBdkpzjAGeH5t5vZnV8iWmEmUWkJc60cs5tcc795JxLuoRQWjwAHMd7NnKhmf3T7/Ppgtf7mDCM9d4AEy79xNmZX58wsypmlst3nenp8TzXOEREsqVM/YEvIiLn5ATeWoy5gZ6+LZhjwIPOuZTW7MsOFgKfAI9xdgZRf+uA63zreqaZc+4vM2uFN5yyOXCbbwvmZApl58Q5F29mz+HNjFoY6IeXrCWU/+RLLD/FWzrk3QCHiQfud84lS7ydc87MevqO3x24xreda9z3mxnAfcCjZoZz7jG/8hNm1gFvOZWr8da6vC7gwTyBZlcd4tuacXZNVADMrFR6eiOzinNunZl1xfteKoE3TDqpU3hJ3vQA7Y+b2QjgX3hJt3/ifYI0zt57rnGIiGRX6uEUEckmnHMb8RKSHsAwYCmwG+8ZsRPALmAB8B+gunNuWGgiTR/n3ON4idI8vOGHx/HW33wKaOSc25XB4/4BXA50w/slfZvv2Cfx1g+dj5foVj0Pv6CP5Wwv5wNmlmhtUufcXKAa8CKwBm8W2IQ1Fd8D6jrn3g52cOfcUedcLF7SPh6v1/YEcABvAqkP8JLQ1NY9TXrc+4E3fF8+amaDk5Tvd8515Ow6nr/i9ebFAX/i9c4+DdRxzo0McPw3gT54vfL7OTsBUrbinJuN9/m8DPzI2c/nF7w/ENRxzg1P4RAP4635+i1wkLPPY57vOEREsh1L5x+VRUREUmVmC4AWwBjn3C2hjUZERERCRT2cIiIiIiIikiWUcIqIiIiIiEiWUMIpIiIiIiIiWUIJp4iIiIiIiGQJJZwiIiIiIiKSJTRLrYiIiIiIiGQJ9XCKiIiIiIhIllDCKSIiIiIiIllCCaeIiIiIiIhkCSWcIiIiIiIikiWUcIqIiIiIiEiWUMIpIiIiIiIiWUIJp4iIiIiIiGQJJZwiIiIiIiKSJZRwioiIiIiISJZQwikiIiIiIiJZQgmniIiIiIiIZAklnCIiIiIiIpIllHCKiIiIiIhIllDCKSIiIiIiIllCCaeIiIiIiIhkCSWcIiIiIiIikiWUcIqIiIiIiEiWUMIpIiIiIiIiWUIJp4iIiIiIiGQJJZwiIiIiIiKSJZRwioiIiIiISJZQwikiIiIiIiJZQgmniIiIiIiIZAklnCIiIiIiIpIllHCKiIiIiIhIllDCKSIiIiIiIllCCaeIiIiIiIhkCSWcIiIiIiIikiWUcIqIiIiIiEiWiAh1ADld0aJFXYUKFUIdhoiIiIiISEisXLlyj3OuWKAyJZznqEKFCqxYsSLUYYiIiIiIiISEmW0NVqYhtSIiIiIiIpIllHCKiIiIiIhIllDCKSIiIiIiIllCCaeIiIiIiIhkCSWcIiIiIiIikiWUcIqIiIiIiEiWUMIpIiIiIiIiWUIJp4iIiIiIiGQJJZwiIiIiIiKSJSJCHYCIiIiIhM6JEyfYt28fhw4dIj4+PtThiEgIhYeHEx0dTeHChcmVK1emHFMJp4iIiMgF6sSJE2zbto2YmBgqVKhAZGQkZhbqsEQkBJxzxMXFcfDgQbZt20a5cuUyJenUkFoRERGRC9S+ffuIiYmhaNGiREVFKdkUuYCZGVFRURQtWpSYmBj27duXKcdVwikiIiJygTp06BAFChQIdRgiks0UKFCAQ4cOZcqxlHCKiIiIXKDi4+OJjIwMdRgiks1ERkZm2jPdSjhFRERELmAaRisiSWXmzwUlnCIiIiIiIpIllHCKiIiIiIhIllDCKSIiIiIiIlki2yacZjbIzJxveyiFer3M7Gsz+8vMDpvZCjPrb2YpXltG24mIiIjIhaFChQqYWarbggULMuV8CcfLDrZs2ZKt4vm7GT16NGbGLbfcEupQslxEqAMIxMwaAY8ADgj6XW5mQ4F+wHHgSyAOaAO8DbQxs+ucc8mmV8poOxERERG58LRr146SJUsGLU+pTM5q2bIlCxcuZP78+bRs2TLU4WSphETdORfiSEIv2yWcZpYLGA3sAr4Fugap1x0vadwJXOGc2+jbXwKYD3QD7gGGZEY7EREREbkwPfbYY3/7BEnOr27dutGkSRMKFiwY6lCyXHYcPvpf4GKgL/BXCvUe970+mpA0AjjndgF3+758LMAQ2Yy2y1lOnICjR0MdhYiIiIiIJFGwYEFq1KhBqVKlQh1KlstWSZWZNQYeBMY652akUK8M0AA4CUxMWu6cWwj8DpQEmpxruxxn5Uq49FJ44olQRyIiIiJyQVmwYAFmFrRHNOHZyAoVKqTruHFxcQwfPpzLL7+cmJgYcufOTdWqVXnggQfYvXt3svr+zwju3buXAQMGULFiRaKioujaNeAAwjRLeLZ1y5YtzJkzhzZt2lCwYEHy5s1LkyZNmD59eqL6Cfdk4cKFALRq1SrFZ2C3b9/OfffdR/Xq1cmTJw8FChSgefPmjB49OugQ1T///JN+/fpRpkwZcufOTZUqVXjiiSc4duwYLVu2DHge//1fffUVHTt2pGjRooSFhTF16lQAdu/ezZAhQ2jfvj0VK1Ykd+7cFCxYkCZNmjB06FDi4xM/hff0008neu416fO+CVJ7hnPx4sV0796dkiVLEhUVRcmSJYmNjWXp0qUB6/tfy8qVK+ncuTNFihQhT5481KtXj/fffz9gu/Mh2wypNbPcwBhgH3BfKtUv9b2udc4dC1JnOVDaV3fxObbLWcxgwwb46Sfo2RMaNw51RCIiIiKSQQcPHqRjx44sWrSIggUL0qBBAwoVKsSqVat4/fXX+fTTT1m4cGHAJHbPnj00atSIv/76i8svv5yGDRtSpEiRTInr/fff5/nnn6dRo0ZcffXV/PzzzyxbtoyuXbsyYcIEYmNjAe8Z1z59+jBr1ix27dqV7JlY//fz58+nW7du/PXXX1SpUoX27dtz+PBhli5dyq233sq8efP44IMPEsWxY8cOmjdvzpYtWyhevDidOnXixIkTvPnmm2ma0GnixIkMHz6ciy++mKuuuoo9e/YQGRkJwOzZs7n//vspU6YMVapUoXHjxuzatYslS5awbNky5syZw5QpU84kk5dccgl9+vRhzJgxAPTp0yfd93XYsGHcc889nD59mkaNGtG6dWs2bdrEp59+ypQpUxg+fDh33HFHwLazZs3itddeo3r16rRt25Zt27axePFibr/9dg4cOMCDDz6Y7njOmXMuW2zAq3iTBPXw2zfat++hJHUH+PZPSeF4Q3x1XjnXdiltDRo0cNnSI484B87Vru3ciROhjkZERESyoXXr1oU6hGytfPnyDnDz589Pc5v58+c7wLVo0SJg+ebNmx3gypcvn6zM9ztosv09evRwgIuNjXX79u07s//UqVPukUceCXi+UaNGnTle27Zt3cGDB9N8Df5xBoon4b5ERUW5mTNnJip79tlnHeCqVKmSrF2LFi1SvJ87duxwMTExLjw83I0ePdqdPn36TNm2bdvcJZdc4gA3atSoRO26dOniANehQwd3+PDhM/v/+OMPd/HFF5+5jqTnTYgHcCNGjAgY07p169zSpUsDxpoQzyeffJKsPNi9S5Dw+fTp0yfR/u+//95FRES4sLAwN2HChERl48aNc2FhYS4yMtKtWbMm6LW8//77ico+/PBDB7gCBQq4I0eOBI0pqfT8fABWuCD5UrYYUmtmzYD7ganOufFpaJLf93okhTqHfa/RmdAuETO707eMyopAQxiyhaefhipVYOtWWL061NGIiIhIDmSWM7fMlnQIqP9WqFChzD+hn3Xr1jF+/HjKly/PBx98QExMzJmy8PBwBg8eTN26dVm4cCFr1qxJ1j4yMpIRI0YQHR30V9sMu/fee2nfvn2ifY888ggFCxZk06ZNbNu2LV3He+ONN9i/fz8PPvggffr0STQEtWzZsowcORKAt95668z+rVu3Mn36dCIiInjnnXfIly/fmbKSJUvyyiuvpHreq666ijvvvDNgWc2aNWkcYLRgqVKleOmllwCYNGlS2i4wDd58801OnTpFz549ue666xKV9ezZk9jYWOLi4hgyJPD8pt27d+e2225LtK93797UrFmTgwcPsmLFikyLNa1CPqTWzPIAo4CDeLPHpqmZ7zW98wxntF0izrl3gXcBGjZsmD3nOs6TB8aPh2LFoGzZUEcjIiIikmOltCxK3rx5s/TcM2fOBOCaa64hT548ycrDwsK47LLLWL16NUuWLKFOnTqJyuvXr5/u50XT6pprrkm2LyoqikqVKvHdd9+xY8cOypUrl+bjff755wDJEq0EDRo0IH/+/Hz//fccP36c3Llz89VXX+Gco2nTpgGvs0OHDsTExLB///6g57322mtTjOvUqVPMmzePJUuWsHPnTo4fP45zjkOHDgGwYcOGNF5h6hKecw32bOdtt93GhAkTgg4VDvSZANSoUYP169ezY8eOzAgzXUKecAKDgGrAbc65P9LY5pDvNX8KdRLKDvnty2i7nKl+/VBHICIiIjmYlhD0hHJZlF9//RWAoUOHMnTo0BTrBhp5V758+SyJCwiaTBYoUACA48ePp+t4CdfaqFGjVOvu3buX0qVL8/vvvwMpX2e5cuVSTDhTarthwwa6du3K+vXrg9Y5ePBgqvGmVcL1VKxYMWB55cqVE9VLKrM/k8yQHRLObsBpoI+ZJX2qtobv9W4zuwbY5Jy7Hdji25/Sv6CEbr0tfvsy2i5ni4+HoUO9Xs8gDxiLiIiISNY7ffp0uuonzILaoEEDateunWLdWrVqJdsXqFc0s4SFZe7TeQnX2qNHD3Lnzp1i3Vy5ciX62lIYS51anCndo9jYWNavX0/nzp155JFHqFmzJgULFiQ8PJwNGzZQvXr1oDPnnotg15PauTL7M8kM2SHhBG95lhYplFfybQmD5L/zvdYyszwu8IyzjZLUPZd2OduCBXDffZAvH7RtC1n4ly4RERGRC1lUVBQAhw8fDli+devWdB2vrO/RqFatWvHyyy+fW3DZXNmyZdm0aRNPPvlkwOQ5kIsuughI+b6m954n+Omnn1izZg3Fixdn8uTJhIeHJyrftGlTho6bktKlS/PLL7/w66+/nunN9Ld58+Yz9XKKkKfAzrkKzjkLtOEtkwLwsG/fJb4224FVQBSQbJC3mbUAygA7gSV+58pQuxyvTRuIjYUjR6BvX42PEREREckiCYnAL7/8QlxcXLLyhOcU06pDhw4ATJ06lVOnTp17gCGUkIwHu46Ea504cWKaj3n55ZdjZixevDhgYjl79mz27duXgWg50+6iiy5KlmwCfPzxx0HbJiyrkt7PrEULrw8u6dIvCUaNGgUQsiHeGRHyhPMcDPa9vmhmVRJ2mllx4B3fly8455KOW8hou5ztrbcgJgZmzYIU/nGIiIiISMaVL1+eypUrc+DAgWQzpE6dOpU333wzXcerX78+Xbt2ZdOmTVx//fX89ttvyer88ccfvPHGG9k+IU1IxoM9D/nwww9ToEABBg0axNChQwNez9KlSxMlpBUrVqRjx46cOnWK/v37c/To0TNlu3bt4qGHHspwvFWrViUsLIwff/yRr776KlHZqFGjGDduXNC2qV1rMAMGDCAiIoJx48YxZcqURGUTJ05kwoQJREZGMmDAgHQdN5Syy5DadHPOTTKzYcDdwBozmwvEAW2AAsBU4O3MapfjlSwJr74Kt90G998P7dp5M9iKiIiISIpeeOEFRo8eHbS8V69etG3b9szXgwcPpkePHgwcOJBJkyZRqVIlNm7cyOrVqxk4cCDPP/98us4/ZswYOnfuzJQpU5g5cyb16tWjfPnyHDx4kO3bt7N+/XpOnz5N3759iYjIvr/ed+vWjdGjR/Pwww8zZ84cihcvDniJZvXq1SlbtixTp04lNjaWe+65h+eff55atWpRpEgRduzYwS+//MKOHTvo0aNHoplshw0bxurVq/nss8+oVKkSV1xxBSdOnGD+/PnUqlWLJk2asHTp0jM9rGlVrFgx+vXrx9tvv02rVq1o0aIFJUuWZM2aNfz44488/vjjDB48OGDbbt268frrr9OmTRtat25N/vzevKTvvfdeiuesV68eQ4YM4Z577uHaa6+lcePGVK5cmU2bNvHtt98SFhbG22+/nWw24uws+35HpoFzrp+ZLQL64z0DGg78BPwPGBaslzKj7XK8W26BsWNh7lwv6VRPp4iIiEiqZs+enWL5JZdckijhvO6668iVKxeDBw/mhx9+YOPGjdSvX5+ZM2dSvXr1dCecBQoU4Msvv2Ts2LF89NFHrFq1ipUrVxITE8NFF11E37596dKlS6oT7YRa586deeeddxgxYgRz587l2DFvOpXevXtTvXp1wHtWde3atbz11lt89tlnLF26lLi4OEqWLEnVqlW59957ky2bUqZMGb799lueeuoppk+fzrRp0yhdujR33303Tz31FHXr1gWgaNGi6Y55yJAh1K1bl2HDhvHtt98SGRlJgwYNePnll6lRo0bQhPP555/HzJgyZQqTJ08+M7w6tYQToF+/ftSrV49XX32Vb775hpUrV1K4cGGuvfZaHnroIZo2bZru6wgly4pZlS4kDRs2dG5AizsAACAASURBVKFYQDXDfv0V6tSBWrVg/nxvIiERERG5IK1fv56aNWuGOgyRLLNlyxaqVKlCvnz52L9/f7acxTW7Ss/PBzNb6ZxrGKhMd/xCU6kSfP01LFmiZFNEREREcjznHIE6gLZv385NN91EfHw8N998s5LNEMnRQ2olg+rXD3UEIiIiIiKZIj4+nkaNGlGuXDlq1KhBTEwM27dvZ9WqVRw/fpzatWvz3HPPhTrMC5bS/AvZjh3QvTt8802oIxERERERyZDw8HCeeOIJSpUqxXfffcfkyZNZvXo1F198Mc899xxLliyhYMGCoQ7zgqUezgvZe+/B5Mmwbh189x1k8wfNRURERESSMjOee+459WJmU+rhvJA9+ijUqAE//QTpnC1NREREREQkNUo4L2S5cnm9nGbwwguwenWoIxIRERERkb8RJZwXuubNoV8/OHUKbr8d4uNDHZGIiIiIiPxNKOEUGDwYypaF5cthyJBQRyMiIiIiIn8TSjgFoqNh+HAIC4MDB0IdjYiIiIiI/E0o4RTP1VfDxo2cfuZpxq4ZS/xpDa0VEREREZFzo4RTzqpUiZun3MyNk2/klUUvhToaERERERHJ4ZRwSiK96/am3Ubo0n0ga1fMDHU4IiIiIiKSgynhlETaV2nPC79WpMYeONLrOo6fPBrqkEREREREJIdSwinJVJ04jz3R4fxj4xG+uPfqUIcjIiIiIiI5lBJOSSZf6QrsffNFANq9v5Dls0eFOCIRERGR869ChQqYGQsWLEixXsuWLTEzRo8efV7iEslJlHBKQNVveZAV19QnVzzkve0u/vrrz1CHJCIiIiIiOYwSTgmq3kdz2V4sF7V2xLHo1jahDkdERERERHIYJZwSVGTBGOLHjGJrIXg9/49MXj851CGJiIiIiEgOooRTEjl5Et54w3sFqNDhBv5vxmt8WRnunHEnOw/vDG2AIiIiIjnIsmXL6NmzJ2XKlCEqKopixYrRuXNnFi1alKzuli1bMDMqVKgQ9HhmhpmluH/8+PE0bdqU/PnzEx0dTZs2bQKeT+R8UMIpidxwA/zrX/Cf/5zdd3fz+7iy0pXsPbaXp4b3xDkXugBFREREcohXX32Vpk2bMmHCBEqWLEmXLl2oUqUKn332GS1atGDkyJGZfs7//Oc/9OrVi6ioKDp27EiZMmWYN28ebdq0YcmSJZl+PpHUKOGURB58EMLC4KWX4MsvvX1hFsaoLqN48atcDHt4IXNe7RfaIEVERESyuVmzZvHQQw9RqlQplixZwooVK5g4cSJLlizhq6++In/+/PTv358NGzZk6nmHDh3Kt99+y8KFCxk/fjxr167ljjvu4OTJk/zHv0dB5DyJCHUAkr00awZPPeVtN98MP/wARYtCmQJlaNOoB2HzPqD+U8PZ3PFmKtZsGupwRUREJAvZM8mHbuYE7qnMHY3VqlWrdLd56qmnAHjvvfdo3LhxorLmzZvz5JNP8vDDDzNixAheffXVTIkT4JlnnqFBgwZnvg4LC+O5555j5MiRfP3118TFxREZGZlp5xNJjRJOSWbgQJgzBxYtgttvhylTwAwaDBrFmpmzqbN6Fz/3vJqyq/4kIlw/sEREROTvrV27dpQsWTJo+axZs9i1a9eZr/fs2cPy5cspUKAAbdu2DdimRYsWAJk+zPWaa65Jtq948eLExMSwf/9+9u7dm+K1iGQ2JZySTEQEfPQR1KsH06bBiBHQty8QFkaZSXM4UK8ezVcf4PPHruPql6eGOlwRERHJIpndU5hTPfbYY7Rs2TJoecuWLRMlnJs3b8Y5x8GDB4mISPnX7d27d2dWmACUK1cu4P4CBQqwf/9+jh8/nqnnE0mNEk4JqHx5ePdd6NHDm0Toiivg4oshpmodVg9+jEL3D6bFkGms7TaNWs26hDpcERERkWwjPj4egIIFC9K1a9cU6xYtWjTNxz19+nSqdcLCNEWLZC9KOCWo66+HWbNg1Chv9tplyyB3bqh73yBWTJlEw4Ub+bNvbyqv2k3uiNyhDldEREQkWyhbtiwAkZGRjB49Os3toqKiADh8+HDA8q1bt55zbCLnm/4EIil6802oWhVWr4bHHju7/+IJ85nYtCA92h1m4JcDQxegiIiISDZTunRp6tSpw549e1iwYEGa2xUrVoyoqCj27t0bcKjt559/nolRipwfSjglRfnzw9ix3nOdQ4ZAws+5vMVLU2HiHPZFh/P60teZt3leaAMVERERyUaeffZZAHr37s0XX3yRrPzkyZNMnz490aRBkZGRXH755YC3nqb/2ueLFi3SsiaSIynhlFQ1bAjPP++9v/VWSHgmvlHpRjx5xZNExMNXD3TnwL4doQtSREREJBvp0qULr776Kjt37qRdu3ZUr16dzp07ExsbS+PGjSlevDhdunThhx9+SNTuv//9L1FRUQwfPpxatWpx3XXX8Y9//IMWLVrQr5/WQpecRwmnpMlDD0Hr1vDnn3DLLZDwzPrAywcybU4Rnp56gG9vah3SGEVERESykwceeICVK1fyz3/+k/j4eObMmcPs2bPZv38/LVq0YOTIkVx//fWJ2jRr1owvv/ySNm3asH379jPDaD/44IMzvaYiOYn5d9VL+jVs2NCtWLEi1GGcF7//7i2VsncvvP463H+/t3/rvClcdNW1RJ6Gr0b+mytu1w9DERGRnGD9+vXUrFkz1GGISDaUnp8PZrbSOdcwUJl6OCXNSpeG99/33j/6KHz/vfe+fOturLyrEwBVH3yenVvXhShCERERERHJTpRwSrp06QJ9+8LJk95SKUePevsbD/mUtVULUeqgY33P1px2qa8TJSIiIiIif29KOCXdXn0VataEn36CBx7w9llkJEUnfsaRKGi1dBef/btHaIMUEREREZGQU8Ip6ZY3L4wbB1FRMGIETJni7S9Rrxm/POM92Hly6iQWbVsUwihFRERERCTUlHBKhtSrBy+95L2//Xb47Tfvfd1HX2P0M9dyXSzc8OkN7D26N3RBioiIiIhISCnhlAwbMAA6dIB9++DmmyE+HjDjxic+oXG5Jvx28DdundIHzYQsIiIiInJhUsIpGWYGo0ZB8eIwfz68/LK3PzI8kk+6f0Kt4wV45PHPmPnfm0IbqIiIiIiIhIQSTjknJUrAmDHe+yefhG+/9d6XL1SeD/P25rLtcPmgj1n99aTQBSkiIiIiIiGhhFPOWfv2cP/9cOoU9OoFhw55+y/999usuqIq0SchoueNHDiwM7SBioiIiIjIeaWEUzLFCy94Ewn98gvcfTc4B5hRa8o3bC+Wi4t3nGRZj+Z6nlNERERE5AKihFMyRa5c3lIpefPCxx97y6UA5CpcDMaP50Q4tPviV74YfHtoAxURERERkfNGCadkmpo1YeRI7/1998GKFd77sq26sPbRWwFo+t//sXblrBBFKCIiIiIi55MSTslUvXp5Q2pPnoTYWG/JFID6z73P8ssrM+gyuHbRvRw6cSi0gYqIiIiISJbLNgmnmd1rZhPMbL2Z7TWzODPbbWZzzay3mVmANqPNzKWw/ZTKOXuZ2ddm9peZHTazFWbW38yyzX3JiV5/HRo1gq1b4aab4PRpwIzac1fzefc6bDiwib6f9dXznCIiIiIif3PZKbF6FOgKHAMWA58Cm4DWwIfAlBQSwW+AMQG2KcFOZmZDgY+BhsDXwBygGvA2MMnMws/9ki5MuXLBxIkQEwOff+5NKASQJyovE66bQN7IvHy1aCwzRz4a2kBFREREAjCzdG+33HJLhs7VsGFDzIwVCc8inYPDhw9jZuTPnz9ZWdGiRTEz9uzZc87nCaUff/wRM6N27dqhDkXSKCLUAfjpCXznnDviv9PMagFfAl2APsCoAG3fc86NTuuJzKw70A/YCVzhnNvo218CmA90A+4BhqT/MgSgfHn46CPo2NFbn7NxY2jTBmoUrcGHl/yXFrEPEe5eZsOlbajWqF2owxURERE5o0+fPsn27dy5k9mzZ5MvXz5iY2OTlV922WXnIzSRHCfbJJzOuUVB9q/19Ub+F7iKwAlnej3ue300Idn0nWuXmd0NLAAeM7O3nHOnM+F8F6Srr4Z//xueew5uuAG++w5Kl4ZrOzzAyrpDaLBsO9uv68rRtX+QN1+hUIcrIiIiAsDo0aOT7VuwYAGzZ8+maNGiAcsz6tNPP+XYsWNUqFAh044pkp1kpyG1KTnlez1+rgcyszJAA+AkMDFpuXNuIfA7UBJocq7nu9A9/TRceSXs3g09ekBcHGBG9Wnf8HvhCOpsPc6iGy8PdZgiIiIiIVG+fHlq1KhB7ty5Qx2KSJbI9gmnmVUE+vq+nBGkWisze83M3jWzZ82sXQrPe17qe13rnDsWpM7yJHUlg8LDYexYr2fzm2/gsce8/flLlOXYh6OIC4O2035kwZsPhjZQERERkUwyZswYWrRoQUxMDJGRkRQrVox69eoxYMAAtm3blqhuSs9wnjhxgtdee42GDRsSHR1N3rx5qV27Nk8++SR//fVXpsQaHx9Pv379MDPq1q3Lb7/9lqj8+++/p1evXpQuXZqoqCiKFy9Op06dmDdvXrJj1alTBzPjyy+/DHq+vn37YmY888wzZ/YdOXKEZ599lnr16pEvXz5y5crFRRddRPPmzXnqqac4depU0OP527t3L82aNcPMuOGGGzhx4gSPPPIIZsZDDz0UtN3YsWMxM1q3bp2m80g6Oeey1QbcCozGm9BnIRAHxAODAtQdDbgg21qgToA2A3zlU1KIYYivziupxdugQQMnqfvmG+ciIpwD5yZNOrt/yX3dnQO3Nw/ul+/nhyw+ERGRC9G6detCHUKOMX/+fAe48uXLp1jvwQcfdICLiopyrVq1cjfccINr3769q1atmgPcjBkzEtVv0KCBA9zy5csT7T906JBr0qSJA1x0dLTr3Lmzi42NdcWKFXOAq1Klitu+fXuyNoDLly9fsriKFCniALd79+4z+44cOeI6derkANemTRv3119/JWozbtw4FxkZ6QBXr149d8MNN7hmzZo5M3OAe+GFFxLVf/nllx3gevfuHfDeHD9+3BUqVMiZmfv111+dc87FxcWduc7ChQu7jh07uhtuuMG1atXKlSpVygHu0KFDZ46xZs0aB7hatWolOvamTZtc1apVHeAefvhhd/r0aeecc1u2bHHh4eGucOHC7tixYwHjat68uQPcJP9fUiVdPx+AFS5YbhWsIFQb8F6SxDEOGAjkDlD3fuBe4GIgH1AK6Ah872u7CyidpM1AX9lHKcTwvK/OiNTiVcKZdq+/7n3HRUc7t2GDt+/0qVNuZf1SLs5wj99azh2LC/yDQERERDKfEs60S0vCeeDAARcREeEKFy7sNm/enKx83bp1btu2bYn2BUs477777jOJ3s6dO8/sP3TokOvQoYMD3JVXXpmoTXoSzl27drlGjRqdSRBPnjyZqP7mzZtdnjx5HOCGDx+eqOzzzz93UVFRzszcV199dWb/zp07XUREhMubN687ePBgshjGjx/vANeyZcsz+z777DMHuObNmydLCOPj492CBQsSxRYo4Vy2bJkrVqyYCwsLc2+//Xay83bt2tUBbtSoUcnKfvjhBwe40qVLu7i4uGTlF7LMSjiz3ZBa59ztzjkD8gK1gDeAp4GlZnZRkrpvOOfecs6tc84dcc794Zz7DPgHsBQoztkJghIkrOeZ4UUgzexO35qdK3bv3p3Rw1xw7rsPYmPh0CHo3h2OHgULD6fqjMX0GnARg8tv44HZD4Q6TBEREfFnFnx7992z9d59N+W6/ho0CF7vzjvP1lu5MuVjrlx5tu6ddyY/z3m2b98+Tp06Rc2aNQNOAlSzZk3Kli2b6nEOHDjA//73PwCGDRtGiRIlzpTlz5+fd999l1y5cjF37lx++OGHdMe5YcMGmjZtyvLlyxk4cCAffvghkZGRieoMGzaMY8eO0bZtW+66665EZR06dOD222/HOcdrr712Zn+JEiVo3749R48eZeLEZFOlnJlsyX8JmV27dgHQsmXLZM+xhoWF0aJFi2Sx+Zs+fTqtWrXi8OHDTJ48mf79+yerc++99wLwzjvvJCsbOnQoAHfeeScREdlmPtW/lWyXcCZwzh3zJZIP4yWN9fDWyExL25PAYN+XVycpPuR7Tb5A0VkJZYcCFTrn3nXONXTONSxWrFhaQhK8/wPefx+qVYM1a6BfP3AOoi+qwGOPziAqPIphK4bx4arRoQ5VREREJN3Kly9PiRIlWLx4MU888QSbNm3K0HGWLl3KiRMnqFatGk2bNk1WXqZMGa666irAmz03Pb755huaNWvG1q1bGTFiBM8//3zAegsXLgQIur7obbfdFvD8CfWTzuS7c+dOvvjiC/Lnz59oWZmEZ1iHDh3Ke++9l651Qt955x26detGvnz5mD9/Pl26dAlYr3Xr1tSqVYvly5cnelb24MGDfPzxx0RGRnLHHXek+bySPtk24UwiYSmUTmYW/E8cif3key2dZP8W32v5FNom/OlpSwp1JAMKFIBJkyBPHhgzxktAAeqXqs9bHd6iwwZo3O42flwWbH4oEREROa+8J2ICb/69kXfemXJdfytXBq/n32vaoEHKx2zQ4Gzdd99Nfp7zLCwsjA8//JCYmBgGDRpE1apVKVmyJN26dWPEiBEcPnw4Tcf5/fffAahYsWLQOpUrV05UN61iY2PZu3cvb775Jnf6f37pjCHh/AcOHODo0aNn9nfq1IkiRYqwaNEifv311zP7P/roI+Lj44mNjSVfvnxn9tepU4fBgwdz+PBh7rjjDooVK0bVqlW55ZZbmDZtGqdPB16h8Oeff6Z///5nJilq3LhxitcdqJdzzJgxHDlyhGuvvZZSpUql2F4yLqcknAfwlkaJAAqnsU0R32vSf9nf+V5rmVmeIG0bJakrmahOHRgxwnt/zz2wapX3/s76dzBoYzmq7XHYtd3Zs2db8IOIiIiIZENXXXUVW7duZezYsdx1110UK1aMadOm0bdvX6pWrcr69etTPYbzJc6WwhBhl8Hk+uabbwZg0KBB/Pzzz+cUQyBRUVH06tUL5xxjxow5sz/hfaAe00cffZQtW7bw9ttv07NnT44fP86YMWPo2rUrzZs359ix5AtLlCtXjhYtWhAfH8+AAQNSTeZ79+5NoUKF+OSTT9i/fz/gDRsG6NevX7quUdInpyScV+AlmweAtPazX+97Xe6/0zm3HVgFRAHXJW1kZi2AMsBOYEkG45VU3HST94fQEye85zr37wfMqPn5t2wrnotaO+L4ofM/OBUfF+pQRURERNIlf/783HDDDQwfPpw1a9awbds2unTpws6dO7nvvvtSbV+mTBmARD2ESW3evBmA0qWTDuZL2Ysvvsh//vMffv/9d6644grWrFmToRgS9hcqVIi8efMmKktIKj/44AOcc6xcuZIff/yRihUrcsUVVwQ8XunSpenfvz/jxo1j+/btLF++nGrVqrF06VJef/31ZPXz5MnDzJkzadeuHQsWLKBt27YpLhWTL18+brvtNo4dO8aoUaOYN28e69evp3bt2kFjksyRLRJOM7vczG40s1wBypoDvoGXvO+ci/ftv8TMrjGz8CT1I8zsAbzlTwCSf4eefb7zRTOr4te2OJDQz/6Ccy5wH75kiiFDoH592LwZ+vSB06chV9ESRE3/jCNRRpslu5jZv12owxQRERE5J2XKlDmz7mRaJvlp0qQJuXLlYsOGDSxbtixZ+Y4dO5gzZw7gTbaTXs888wwvvPACf/75J61atWKl/+RLPi1atAC8pDGQUaNGBT1//fr1qVu3Llu2bGHhwoVnejf79OmT5h7Thg0bnul5DHbP8uTJw/Tp0+natStLliyhdevW7N27N+gx+/fvT1hYGMOHDz8zWVCgSYYkc2WLhBOoDHwE7DSzL83sYzObbmZrgUVAJeAz4Em/NhWAGcCfZrbEzCaa2SxgK/Cqr86jzrnZSU/mnJsEDANKAmvMbIaZTQY24i2xMpU0TlAkGZc7t/c8Z0wMzJgBL7/s7S/ZuA1b3ngagA7vzmfB/54KXZAiIiIiabRhwwbGjBkTcHjnjBne/BTly6c0jYinUKFC3HrrrYA33NN/VYQjR45w1113cfz4ca688krq1auXoVgfffRR3nrrLfbt20ebNm1YsiTxwL67776bPHnyMGvWLN5PmHTD54svvmDkyJGYGQ88EHiFgYRezpEjRzJu3DjM7MxwXn+zZs1izpw5xMfHJ9ofFxfHrFmzgJTvWVRUFBMnTqRnz56sWrWKVq1anZn5NqlKlSpx9dVXs3HjRiZPnkyBAgXo3bt30GNLJgm2Xsr53ICKwH+B+cB24BhwHG/SnklA1yBt3gAWA7/76h/DSxr/BzRIw3l7Ad8AB4EjwEqgPxCW1ti1Due5mzHDe/I/LMy5+fPP7v/25iudA7cj2tyPW5YHbS8iIiIZo3U40y4t63B+/fXXDnC5cuVyTZo0cT179nSxsbGuRo0aZ/bPnTs3UZtg63AeOnTINWnSxAEuOjradenSxcXGxrrixYs7wFWpUsVt3749WRvSuA5ngvfee8+FhYW5/Pnzu/n+v4g558aOHesiIiIc4C655BLXq1cv17x5c2dmDnCDBw8Oei/+/PNPFxkZ6fCWIky09qa/Z5991gEuJibGtWnTxvXq1ct16dLFlShRwgGubNmybseOHWfqB1qH0zlvzc5bb73VAa569erut99+C3i+L7744kxM99xzT9D4JfPW4Qx5spnTNyWcmePxx73vxuLFndu61dt3Oi7OLWxZ0TW/FVflzSpu/7H9oQ1SRETkb0YJZ9qlJeHct2+fe+WVV1ynTp1cpUqVXL58+Vx0dLSrWbOm69+/v/v555+TtQmWcDrn3LFjx9wrr7zi6tev7/Lly+dy587tatas6Z544gm3f3/y34syknA6dzaxzJMnj5s1a1aislWrVrmePXu6kiVLuoiICFekSBF3zTXXJEucA+nSpcuZ5G706NEB66xfv979+9//di1atHBlypRxuXLlckWLFnX169d3gwYNcnv37k1UP1jC6Zxzp0+fdv3793eAq1Spktu8eXOyOsePH3e5cuVygL7/U5FZCad55ZJRDRs2dP7r+UjGnDoFHTrA3Llw6aWwaBHkzQtH447S7P1m/LDrB66pdg3Tek4jzLLLSHAREZGcbf369dSsWTPUYYicNx9//DG9e/emdevWfPnll6EOJ1tLz88HM1vpnGsYqEy/uUu2EBEB48dD5crw3Xdw223eUlp5I/MyucdkYnLHwIz/47OHu4Y6VBERERHJgU6cOMGgQYMAgj57KplPCadkG4ULw7RpEB3tJZ+DfXMJV4qpxPS6LzBtHLR/fQaLP34htIGKiIiISI4xfPhwbrnlFurWrcu6deto1aoVHTt2DHVYFwwlnJKt1KoFH38MZvDvf3uz1wJc1uFOvu15OZGnoUrfgWxe83VoAxURERGRHGHu3LmMGTOGvXv3cuONNzJhwoRQh3RBUcIp2U6nTvDcc96Q2l69YO1ab3/jD77kh9rFKH7YcahTWw4fCr7OkoiIiIgIwKRJk3DOsWfPHj766COKFi0a6pAuKEo4JVt6/HHo0QMOH4YuXWDfPrDISCrNWsbvhSOou/U4y7o2xJ0+HepQRUREREQkCCWcki2Zwf/+B/Xrwy+/eMnnqVMQXboicRMncCwC2szbwpxHrwt1qCIiIiIiEoQSTsm28uaFqVOheHFvuZSHHvL2V2jdjXXP389v0fDUX1OY++vc0AYqIiIiIiIBKeGUbK1sWZg8GSIjYcgQr9cToMEjrzNq3CMsLe3oOaknWw5sCWmcIiIiOZXWZBeRpDLz54ISTsn2mjeHYcO89337wuLF3vuBHQbRvkp79h7by4tPXcmxI3+FLkgREZEcKDw8nLi4uFCHISLZTFxcHOHh4ZlyLCWckiP8859w770QFwfXXgvbt0N4WDhjrx3L898VZtibv7Ck+z/0V1oREZF0iI6O5uDBg6EOQ0SymYMHDxIdHZ0px1LCKTnGa69Bmzawaxd07QpHj0JMnhiuu/ttjkdA69kbmD2wR6jDFBERyTEKFy7M/v372bNnDydPntQfbkUuYM45Tp48yZ49e9i/fz+FCxfOlOOafrCcm4YNG7oVK1aEOowLxt698I9/wK+/Qs+eMHasN6Pt8uf70+jf73AiHL796EUu7/lIqEMVERHJEU6cOMG+ffs4dOgQ8fHxoQ5HREIoPDyc6OhoChcuTK5cudLczsxWOucaBixTwnlulHCef2vXQpMm3hqdgwfDY495+1dc24SGU5bxZz7YM/8zLm50dWgDFRERERG5AKSUcGpIreQ4tWrBRx957wcOhBkzvPcNPvmKNfVKUfwIhHXuys7fN4QuSBERERERUcIpOVOXLvDcc+Ac3HgjrFsHFhVF1bmr2FwqD3mOxXHPqFiOxR0LdagiIiIiIhcsJZySYw0cCNdfD4cOeQnovn2Qu2hJoud+ReyDZfg0fg23TLuF0+50qEMVEREREbkgKeGUHMsM/vc/uOQS2LQJevTwlk0penFDRt01k+ioaCasncDQD+4NdagiIiIiIhckJZySo+XLB9OmQfHiMHcu9O/vDbOtXbw247t/wgtz4e5b32H+sEdDHaqIiIiIyAVHCafkeOXKwdSpkDs3jBwJL73k7e9Q7WpaVmtHhIMG/3qJ7+d+FNpARUREREQuMEo45W+haVNv5lozb5mU8eO9/f8Y+TkrLq9MgRNQ+Po+bN+gJWxERERERM4XJZzyt9G9O7z8sve+Tx9YtAgsLIx6n69ifeUClNt/mn3tr+DQgT9DG6iIiIiIyAVCCaf8rTzwAPTrBydOeDPXbtwIkfkLcNGXy/k9JoJ6m4+x6upLiY8/FepQRURERET+9pRwyt+KGQwZAh07D3tQWQAAIABJREFUesukdOgAu3dDwfLViJ8+lUO54KKfd/DMpHtCHaqIiIiIyN+eEk7524n4f/buO7qKqu/i+PeXQGihCkhTQJpUFQKh9yJFkCpNBRUL2HsXO6gIKqIiIKJgARGkKb3XANKLCCgKKL3X5Lx/zOV5ePOQQArMTbI/a2UN9945c3dcSxfbM3NOOvj2W6hYEX7/3ZvpPHECrq3ZnC1ff0Ste9Px+sbPGLx8sN9RRURERERSNRVOSZXCw2HiRLjmGli0yHumMyYGbmr3IG938Ipmr8m9mLdktM9JRURERERSLxVOSbXy54fJkyFbNhg9Gp57znu/+03deSbyCd6feJbrG9zG1uUz/A0qIiIiIpJKqXBKqlauHPzwg3eb7TvvwKefeu+/Wf9Nap7MQ55jjugWzdi/a5u/QUVEREREUiEVTkn1GjaEwYHHNXv18mY9Q8MyUGL6Sn7Pn4ESu0/ze+NKnD513N+gIiIiIiKpjAqnpAndu8NLL3nPcXboACtXQniegmSaMoO9WUKovPYA81rdhIuJ8TuqiIiIiEiqocIpacarr0LXrnDsGLRoATt2QIEbarBn5GBOpoMGv2xm4oON/Y4pIiIiIpJqqHBKmmEGQ4ZAnTqwc6e3V+fhw1C61d1s7PsUANeOncGgBQN8TioiIiIikjqk8zuAyJWUIQP8+CNUrw5r1kD79t72KTc+/g5zTx6i5eHBHJ7+OPlyXUub0m38jisiIiIikqJphlPSnJw5vYWD8uaFqVOhZ09wDmo//xlPNXsDh6PzmE4sWTbO76giIiIiIimaCqekSUWLwoQJkCmTd5ttnz7e+8/Xep6eN97Lxz+eplDDNmxeOd3foCIiIiIiKZgKp6RZVarAyJHes53PPw9ffQVmxoeN3ifyxFUUPOywpk3ZuX2t31FFRERERFIkFU5J01q3hv79vT937w6TJkFo5ixcN3c1vxfMRIl/zvJPg0gOHdjtb1ARERERkRRIhVPSvEcegeeeg+hobxGhBQsgc54C5Jq1hF050nHT1uOsaVCeUyeP+R1VRERERCRFUeEUAd58E3r0gBMnvD0616yBnCXKEzNlMgcyGTVX7mVeyxuIiYn2O6qIiIiISIqhwimC9xznJ59AmzZw8CA0aQLbtkHBqo3Y++0wTqSDnGt/58Xxj/odVUREREQkxVDhFAkIDfUWEapXD3btgsaN4Z9/oETLbqz7qh8N7wrl7dUDeX/R+35HFRERERFJEVQ4Rc6TMSOMGwcVK8KWLdC0KRw6BBEdH2dghy8BePLnJ5gy9h2fk4qIiIiIBD8VTpFYsmWDKVOgRAlYuRJatYKTJ6FLhS68W/dtvh4LdW97huVjPvI7qoiIiIhIUFPhFLmAvHlh6lQoUADmzIFOneDsWXii1tMUKViWTGeh6B2PsHneeL+jioiIiIgELRVOkTgUKQK//AI5c3q32d5/P2AhRP60nKhK+cl1wpG5VVv+3rDU76giIiIiIkEpaAqnmT1kZt+b2QYz22dmZ8xsj5lNN7OuZmbxjO1sZvPM7JCZHTWzKDPrZWbx/n6JHSdpR7lyMHEiZMoEQ4fC889DaFgGys1cy9piWSl0IJqjDWtzYNc2v6OKiIiIiASdYCpWzwC3AieAhcAPwBagPvAV8OOFiqCZfQyMBCKAecA0oCQwEBhjZqEX+rLEjpO0p3p1GDMG0qWDPn3g/fchY7ZcFJq9kq1Xh1Fq5ym21b2Bo4f3+h1VRERERCSoBFPh7AjkdM5VdM7d4pzr6JyrBpQH/gFaAXeeP8DM2gI9gd1ABedcC+dca6AEsAFoDTwY+4sSO07SrmbNYPhw789PPAEjRkCOQsXIOG02u7OHcvL4EbqObMvJsyd9zSkiIiIiEkyCpnA65+Y7545d4P11wMeBl41iffxc4PiMc+6388b8AzwQePnsBWZGEztO0rAuXWDAAO/Pd93l3WpboHw1Tk6dQpcH8jL+37l0+qETZ2PO+htURERERCRIpJRCde5v8P+ZPjKzQkAl4DQwOvYA59wc4G8gH1A1qeNEAB55BF54AaKjoX17mD8filRpxPi7p5EjYw4mrBvHp0/XJyYm2u+oIiIiIiK+C/rCaWZFgfsDLyec99FNgeM659yJOIYvi3VuUsaJAPD663Dvvd7enC1awOrVUOHqCkzpMoWRP4XyYL95TL6jGs45v6OKiIiIiPgq6AqnmXU3s+FmNtLM5gCbgULA2865H887tWjg+Ec8l/sz1rlJGScCgBkMGgRt28KhQ9CkCWzdClULVaVMjxeINmgxchmTe8a+A1xEREREJG0JusIJ1MBbHKgzUDvw3kvAa7HOCw8c/+e5z/McDRyzJsO4/zCzewNbqETt2bMnnstIahUaCiNHQv36sHs3NGgAO3ZA+V6vsvqNhwBo/ukMpjzT1uekIiIiIiL+CbrC6Zy7xzlnQGagLDAA6A0sNrMC5516bl/OhN63mNhx52cc7JyLcM5F5MmTJ7GXkRQuQwYYNw4iI2H7dq987toFNz3/IcueuQOAJu+MZdobd/kbVERERETEJ0FXOM9xzp1wzq13zj2Ft6rsDXh7ZJ5zJHAM/5/B/3XusyPnvZfYcSL/I2tW+PlnuOkm2LLFm+n891+o3OdLlvRsSQhQ7+UvmPb5cxe9loiIiIhIahO0hTOWLwLHW8wsfeDP2wPHwvGMuybWuUkZJ3JBOXLA1KlQrhxs2ACNGsH+/RD58XgWdanLvMLQfvs7jN843u+oIiIiIiJXVEopnAfxtkZJB+QKvLcycCxrZpniGFc51rlJGScSp9y5Yfp0KFXKW7W2SRNvQaFqX81k5qCnOBQWQ4cxHZixdYbfUUVERERErpiUUjhr45XNg8BeAOfcDmAFEAa0jz3AzOrgrW67G1h07v3EjhO5mKuvhhkz4LrrICoKmjWDo8eM127uS6/KvYg5fZo/Ot7M6ilf+h1VREREROSKCIrCaWa1zKyLmWW4wGc1gKGBl0Odc9Hnffx24NjXzIqfNyYvMCjwso9zLibWZRM7TiReBQvCzJlw7bWwcCHccgucOGF82PRDRvxRkbuWnaVA++5smjfO76giIiIiIpedBcPm9GbWDe85zYN4s4+78bYkKQaUCZw2CWjvnDsRa+wg4AHgJDAdOAM0ALIB44B2sUpqksbFFhER4aKiohL2C0uqt2UL1K7trVrbuDGMHw/pOM7qqkWpuOpfdmUL4eTMqRSt1MDvqCIiIiIiSWJmy51zERf8LEgKZ1GgO1ALKA7kxtu+ZDcQBXztnItzSsjMOgO9gPJAKLARGAZ8Et8sZWLHnU+FU+KycSPUqeOtWnvLLTBmDLiTB9hU5ToqbDrIn7lCCZ2/kIKlq/gdVUREREQk0YK+cKZkKpwSnzVroG5db9Xadu3gm2/g1MFd/FG5BGW2H+P3q8PIumgFeYuW9TuqiIiIiEiixFc4g+IZTpHUqnx5b8uU7Nm9Gc5u3SBjzvwUXLCGzQUzUuyf08y+ozZ7j+/1O6qIiIiISLJT4RS5zCpVgilTIDwcRo6E++6DrPmKknPuMr6rkYPutffTcERD9h3f53dUEREREZFkpcIpcgVUqwaTJkGmTDB0KDz0EOQuWo7aU9ZTKH9JVv2zipuHN2D//r/9jioiIiIikmxUOEWukNq14aefIEMGGDQInnoK8oXnZ9adsyidvTjPfbSKzTVLc2CfSqeIiIiIpA4qnCJXUMOG8MMPkD499OsHL78MBbIWYGaDr6j1dyhVNxxhc63SHNy/0++oIiIiIiJJpsIpcoU1bw7ffguhofDGG/D665CvfFWip09lT9ZQIjccYVPN0hw6sNvvqCIiIiIiSaLCKeKDNm3gq68gJMSb5ezdG66uXJ+z034JlM7DbKpRisMH//E7qoiIiIhIoqlwivikUycYMcIrna++6hXPfFUacGbqz+zJGkKVDYfZWF2lU0RERERSLhVOER916QKjRv339trnn4f8kQ05PfVn/s0awuGTh7j1m1YcOXXE76giIiIiIgmmwinis9tu857pTJcO+vSBp5+GApGNODVrOj3vK8isf5fQbFQzjp4+6ndUEREREZEEUeEUCQLt2sH333ul87334PHHoVDFevx871wKZSvEkq3z+aZTeY4d2ut3VBERERGRS6bCKRIkWrf+75YpAwbAww9D0RzXMfvO2QyflpkeY7ezvmZJlU4RERERSTFUOEWCSMuW8OOPEBYGAwdCr15QNEcxavQbzZ7wECqvPcD6miU5fnif31FFRERERC5KhVMkyDRvDuPHQ4YM8MkncP/9cE21Zhz7+af/lM51NUty4sgBv6OKiIiIiMRLhVMkCN18M0yYABkzwuefwz33wDVVm3Nkyjj2Zgmh8pr9rK1RQqVTRERERIKaCqdIkGrUCCZNgkyZ4Isv4K67oHC1Wzg05Uf2ZjEqr9nH2DsiOH7muN9RRUREREQuSIVTJIjVrw9TpkCWLDBiBNxxBxSu1pJDU8bxw00ZuKfsVpqPaq59OkVEREQkKKlwigS5OnXg558hPBxGjYKuXb3SWXbqr+TKVYDZ22fTfHgjDh7c7XdUEREREZH/R4VTJAWoWROmToWsWeG776BjRyiW/XrmdptLsSzX8OT7S9hUrST7/v3D76giIiIiIv+hwimSQlSrBtOmQfbs3n6dHTrANeHFmNtwJNV2hRK58Qh/VivDP39v9juqiIiIiAigwimSokRGwvTpkCMHjBsHbdtCrutr4ebMYVfOdNy09Th7qlVg57bVfkcVEREREVHhFElpIiJgxgzIlQsmToRmzSBT8RqELVjCn3nCKLfjFEeqR/DnhiV+RxURERGRNE6FUyQFqlgR5syBfPlg1ixvCxW7uiLZFv/K1vyZKLX7DNG1a/L72nl+RxURERGRNEyFUySFKlcO5s+HIkVgyRJvNdsTmUqTZ9k6Nl+bhU3Zz1JvYjvW/rvW76giIiIikkapcIqkYMWKeaWzdGlYuxZq1YJ9Z4pScNkmBj5bjx2n/qXu8Lqs2LXC76giIiIikgapcIqkcAULerfXVqwIv//ubaHy576CjOk2meYlmnPkyD62NK3K6klf+B1VRERERNIYFU6RVCBPHpg505vh/Ptv77huVUbG3jaWoVvL0WHVGQq3vYsVYz7yO6qIiIiIpCEqnCKpRPbs8PPP0LQp7NsH9evDkoVhdBy6hCXVryX7KSjV+WGWffm231FFREREJI1Q4RRJRTJn9vbnvO02OHwYGjeGabMyU3n2byysX4IsZ6DC3c+z+JMX/I4qIiIiImmACqdIKhMWBiNHwj33wMmT0LIljPkxjGpTNzCveXkyREOlB99i4XuP+B1VRERERFI5FU6RVCg0FAYPhieegLNnoWNHGPpFKDV/+pXZHSJJHwN7hn7I51GD/Y4qIiIiIqlYOr8DiMjlYQbvvgs5c8KLL0KPHnDoUAiPf7OQ8cU7cJv9wKlJ97H3xD6erfksZuZ3ZBERERFJZTTDKZKKmcELL8BHgcVpn3wSXn4lhJZvjKF/q0EYxmu/PM/IZ5sRExPtb1gRERERSXU0wymSBjz4IGTLBnfdBW+8AYcOwYABD3BVplxkbteJFpt+ZsqG8jT8YSXp02fwO66IiIiIpBKa4RRJI+64A0aP9hYV+ugj6N4d2lx/G4Xvf5bTodB0wgbm1SvG8eOH/I4qIiIiIqmECqdIGtK6NUya5G2fMmIE3HorXNfjLbaO+ICjYVB/wd+sjizCgb1/+R1VRERERFIBFU6RNKZhQ5gxA666yiuf9etD7sYPs2fCd+zLEkLVtQfZUbkku7av9TuqiIiIiKRwKpwiaVDVqrBgARQuDEuXQo0aQIkOnJ49g79zpaPC9hOMv7sGW/Zv8TuqiIiIiKRgKpwiaVSpUrBoEdxwA2zeDNWrw+7QumRasoLv6+bl4eqHqTGsBit3rfQ7qoiIiIikUCqcImlY/vwwZ453W+3u3VCnDqz8ozxNf95CnZIN+ffYvzQfXIflEwb7HVVEREREUiAVTpE0Lnt2mDwZOnaEI0egaVOY9GNWJnaaSMeSbfniqyOUbnsfiz590e+oIiIiIpLCqHCKCBkywMiR8NhjcOYMdOoEgz7KwNdtRxJ+3fVkPgOVe73J3Nfu9juqiIiIiKQgKpwiAkBICLz/Prz3nvf68cfhmeczUHXyOuZ2qUm6GKj9yjBm92rub1ARERERSTFUOEXk/3niCfj6a0ifHvr1gzvuDKHqsHnMeawtAHUHTWZOu8q46Gifk4qIiIhIsAuKwmlm6c2sgZn1M7PFZrbLzE6b2d9mNsbM6sYxbriZuXh+Nl7kezub2TwzO2RmR80sysx6mVlQ/HMR8UuXLt4eneHhMGoUNG8OFV8dw8I+D3I6FOr8EMXQh2tyOvq031FFREREJIil8ztAQB1gWuDPu4HlwDGgDNAWaGtmrzvnXo5j/ALgQhsG7orrC83sY6AncBKYAZwBGgADgQZm1t45pykcSbMaNfJWsG3WDKZP91awnTz5I1blzce2Aa9w/1WLGfX1zYy9bSw5MubwO66IiIiIBCFzzvmdATOrj1f+PnDOzYv12W3ASCAUqO+cm3XeZ8OBO4HuzrnhCfi+tsAYvHJb2zn3W+D9q4FZQGngUefcBxe7VkREhIuKirrUrxZJcbZuhSZNYMsWKFoUfvkFjoSvoPmo5uw+upuqWa5nTNvvKFi0gt9RRURERMQHZrbcORdxoc+C4tZR59xM51y72GUz8Nl3wPDAy67J9JXPBY7PnCubge/6B3gg8PJZ3VorAtddBwsXQuXKsG0bVK8OZ3dUZNHdi7gxWyn6DNzIqSoVWb94gt9RRURERCTIpJRCtTJwLJTUC5lZIaAScBoYHftz59wc4G8gH1A1qd8nkhrkyQMzZ3p7dO7dC/Xqwdr5RZjVejwFY7Jw3d5o8jZoxZIxF70pQERERETSkJRSOEsEjnE9k1nPzN43s8Fm9rqZNYlndvKmwHGdc+5EHOcsi3WuSJoXHg7jx0O3bnD8OLRqBV9NKMU1q7bz6435yX3cUaHTo8x8r5ffUUVEREQkSATLokFxMrN8QLfAyx/iOO2OC7y33sw6OufWxHq/aOD4Rzxf+2esc0UEb6uUYcO8ZzlfeQUefhi2bMnNe4u2s6RdFSInraLuU4P4ZesWGg+cgoWklP+nJSIiIiKXQ1D/bdDM0gFfA9mBGc652A+J/Qo8DJQFwoECQAtgFd4Kt9PNrGCsMeGB47F4vvpo4Jg1jlz3BrZQidqzZ8+l/joiqYIZvPwyfPUVhIXBhx9C2w5hlP1mJYt6tSIEaPLJVD5+oRFnos/4HVdEREREfBTUhRP4FG+rkh1cYMEg59wA59xHzrn1zrljzrldzrlJQBVgMZCX/y4QdI6dG57YUM65wc65COdcRJ48eRJ7GZEUrWtXmDYNcuWCCROgdh2j8PPjiOr3BN9WCOXhsJk0H9Wcw6cO+x1VRERERHwStIXTzD4A7sbbuqSBc273pY51zp0G3g68bBbr4yOBYzhxO/fZkXjOEUnzateGRYugeHFYuRIiIyF9g/e4bvJCcofnYdrWabT6oBq7flt58YuJiIiISKoTlIXTzPrh3Sq7B69s/naRIReyMXCMfUvt9sCxcDxjr4l1rojEoWRJr3TWrAl//eUd966qwuJ7FlMha3H6fLies5GV2Tx3nN9RRUREROQKC7rCaWbvAI8D+4BGzrn1ibzUVYHj0Vjvn5tqKWtmmeIYWznWuSISj9y5Yfp06NwZjh6FW26Bn7+5jlntJhGeIZxrDkSTt0lrVozq53dUEREREbmCgqpwmlkf4CngAF7ZXJWEy3UIHJed/6ZzbgewAggD2l8gQx28/T53A4uS8P0iaUqGDPD1197qtTEx0KsXvDGgJIWXbWdJ5QLkOAnl7niSBW/e73dUEREREblCgqZwmtnrwDPAQbyyGe/sopndaGYtzCw01vvpzOxxvFtyAfpfYPi55zv7mlnx88bmBQYFXvZxzsUk4lcRSbPMoHdv+PJLbwuV/v2h611XUWbadma3rkhYNNR48TNm31UfF6N/vURERERSO3Mu0Yu1Jl8Is5bA+MDLKGBdHKdudM71CYy5FfgR2A9sBv7C28akPN72KDHAc865d+L4zkHAA8BJYDpwBm9F3GzAOKCdcy76YtkjIiJcVFTUJfyWImnLnDnQujUcOACVKsFPP8Hmfm2p1X8soQ76P1WLB96aSsZ0Gf2OKiIiIiJJYGbLnXMRF/wsSApnN+CLSzh1jnOubmBMUeARvC1QCuM9s+nwiuc84GPn3PKLfG9noBdeSQ3FW2hoGPDJpc5uqnCKxG3TJmjWDLZuhWuugYkT4cSCF1j3xTvc3ews1a6pxo+3/cjV4Vf7HVVEREREEinoC2dKpsIpEr89e+DWW2HhQsiaFb7/HvLfuIpbvrmFHYd3EBlTgOHNh3B9laZ+RxURERGRRIivcAbNM5wikjrlyQMzZsBtt8GRI9CiBSwYewNLeyyldu5KfDJ4J7nrNWPhqAve/S4iIiIiKZgKp4hcdhkzwqhR8MILEB3trWD76lP5mNBmIiH58pH7OETc8Qy/vNAJ3XUhIiIiknokqnCaWZiZFTKzcmZW0MzCkjuYiKQuISHwxhswYoS3hcqnn0LLTvkoMPlPFreNJCwamrz1LVPb3siZ0yf9jisiIiIiyeCSC6eZNTCzD81sLXAC+ANYBfwJnDCzNYHPG1ymrCKSCtx+u7eCbb583jGyRnrCey9m6Sv3cCYEmvy4mqjIQuz/Z7vfUUVEREQkieItnGYWamY9zWwjMBV4ECgDGHAM2BU4GlA28PlUM9tgZg/E3iNTRAQgMhKWLfO2S9m2DapVg90VP+e3bz9mf2aj2q/7eO+xSDbv2+x3VBERERFJgjgLp5k1A9YCA/G2HRmLt2/ljUCYcy6bc66Qcy4bkAG4CeiJt4dl0cC4tYHriIj8P4UKwbx50LEjHD3qrWQ7fktPTsyfwyfN8/J2yX+pOqQqM7fN9DuqiIiIiCRSnNuimFkM3p6W7wBfO+cOXvJFzXICtwNPAQWcc6l2plPboogkjXPw9tvegkIAnTrBgEFHuGdKFyZsnkCJg6EMznE7dV+5lK16RURERORKS+y2KE8AJZxzAxNSNgGccweccx8CxQPXERG5IDN4/nkYNw7Cw+Gbb6B5o6wMrPkjz1Z6lB9HRlO393Bmt61E9JnTfscVERERkQSIs3A65/o7504l5eLOuVPOuQFJuYaIpA2tWsHChVCkCERFQdXIUFrn7c/+++7gTAjUHbuCFVUKcWTP335HFREREZFLpH04RSRolC8PS5dC7dqwa5d3/KPUl6wd2Z99mY3Kv+7hnwrF+GPFLL+jioiIiMglSJbCaWYlzKytmV3wvl0RkUuVJw9Mmwb33QenTnnbqHz366Mcmj2d3/KFUXz3KcJrNSBqVD+/o4qIiIjIRSRkH842ZjbZzCJjvf8isAH4HlhiZl8nc0YRSWPCwuCTT2DgQAgNhb594ZHX6pNpwRaibsjDVccdX4x6ivcWvkdcC5+JiIiIiP/iXKX2f040Gws0BvI6544H3isHrAbOAovx9uLMAbR3zo29LImDjFapFbm8ZsyA9u3hwAEoUwbGjT1D1Led6cwYALqU78Lnt3xOpvSZfE4qIiIikjYldpXa2G4CVp0rmwFdAQfc45yrDVQGzgA9EhtWROR8DRrAsmVQujSsXw+R1dKTM3I0Y9qPIUv6LETNHMmSyvn56/eVfkcVERERkVgSUjivAmIvD1kHOAqMAnDObQXmA6WTJZ2ICFCsGCxeDC1aeDOdzZrBpnFtWdB9EV9MzUjdVYcgIoIVEz/3O6qIiIiInCchhTMDYOdemFkYcCOwyDl39rzzdgNXJ088ERFPtmwwfjz07g3OwQsvQO+e5Sk0Jor1xbJT6GAMpVvfy/RX79RznSIiIiJBIiGFcxdQ5rzXtfFK6IJY54UDh5OYS0Tkf4SEwCuvwIQJkD07jBsHjTqUJWb03yxqVoFMZ6Fh7xHMaFmeUyeO+h1XREREJM1LSOGcA1xvZk+bWQXgdbznN3+OdV454K9kyici8j9atICoKChXDjZtgmq1s7D7nlUsfqk7p0Oh4cR1rKxciF2Hd/odVURERCRNS0jhfBPvec23gZVAJDDDObfs3AlmVhK4DliSnCFFRGIrXhwWLYIOHeDoUWjTBiZED2PLD8P4J1sInxU/RMSQyiz5S/85EhEREfHLJRdO59xmoAbwJTAF6A20inVaA2AVMDGZ8omIxCk8HL79Ft57z7vd9q234PFPunN48WZ+b1WLnUd2Unt4bUZP6ed3VBEREZE06ZL34ZQL0z6cIsFh5ky47TbYuxeKFoXvxpxm+K7HmDtpEIuGwPKmN1D9u4Wkz5jZ76giIiIiqUqi9uE0sy1m9o6ZVbt80UREkkf9+rB8OUREwLZtUKdmGNUPfswH195L+hio89Mq1t9YgD1b1/odVURERCTNiO+W2pzAk8B8M9tpZh+bWUMzC71C2UREEuTaa2HePOjeHU6cgK5d4afdn7H++8/YnS2EGzYd4kzFG1k9cajfUUVERETShPgKZ16gIfApEAM8APwC/Gtmw82slZllvAIZRUQuWcaMMHQofPoppE8PH3wAj35wL/t+iWJ18awUOBRNydb3MO2lrtqvU0REROQyi7NwOueinXMznXO9nHOFgOpAP2AfcAcwFthjZqPNrLOZZbsykUVE4mcG990Hc+ZAgQIwdy40bnsTR4bsYn7zCmQ8CzX7jOShz1tz7PQxv+OKiIiIpFoJWaV2sXPuaedcSeAGvH04twFtga/wZj6nmFkPM8t7eeKKiFy6atW85zpr1YKdO6FeoyysbLKKpa/eR882Gfh413gih0Syae8mv6OKiIiIpEoJ2YfzP5yJ1sE3AAAgAElEQVRza5xzvZ1zFYDiwLN4e3M2xrsFd6eZzTWz+skXVUQk4fLlgxkz4OGH4cwZ7/je2k/p2Wcl1+e+nnV71vH2Qzcyf/BLfkcVERERSXUSVTjP55zb6px71zlXDSgEPAzMAaoCNZN6fRGRpDr3LOf330PWrDB6NHRpUpphVZfyYK6mDBpzkur3vcHU26tz9swpv+OKiIiIpBpJLpznc87tcs597JxrAFwNfJOc1xcRSYr27SEqCipUgN9+g/o1s3JTpgn82r0pGDT+ehErbsrPP9vX+R1VREREJFVI1sJ5PufcAefcb5fr+iIiiVGyJCxeDHfdBSdPwt09QhlydjK/Dn2ffVlCqLLuANE3VmDVuM/8jioiIiKS4llCtgUws3TAbUA9oAAQ17YoLjDLmepFRES4qKgov2OISCIMHw49e3p7dpYvD0PfXU7mXvUo+/sRTofCjBe7cPMrX2FmfkcVERERCVpmttw5F3HBzy61cJrZ1cA0oCxwsb99OedcaIJSplAqnCIp25o10K4dbN4M4eHw+afHKDimNhUnraBKDyhXrwNDbhlC1gxZ/Y4qIiIiEpTiK5zpEnCd94BywGa8lWh/A44mPZ6IiH/Kl/ee6+zRA777Djp1zcJDDy3nwKTB7Ih6kvXrvmfNP2sYX/sTSpSv43dcERERkRQlITOc+4BTQBnn3MHLmioF0QynSOrgHAwaBI895m2fUqUKvP35Jh6a34YqU9czcDKseq0n1Z/92O+oIiIiIkElvhnOhCwaFAYsUNkUkdTIDHr1gvnzoXBhWLoU2tUtxauFltD1eDGynIHqzw1idrMynDiq/wyKiIiIXIqEFM4NQLbLFUREJBhUqQIrVkCLFnDgALRvFc60ipuZ/UxnToVC3Skb+L1sAX5fMcPvqCIiIiJBLyGFcyBQx8xKXa4wIiLBIFcuGD8e+vSB0FDo2zeE3otHsvLrr/krVzrK/XmCnDUbMuujJ/yOKiIiIhLULrlwOudG4JXOWWZ2t5kVunyxRET8FRICzzwDM2dC/vwwZw7c8lAXoj7cwoqKBch1AvK8/j49xnbn+JnjfscVERERCUoJmeEEb3XavcBg4A8zi47j52zyRxURufJq14aVK6FxY9i7F1p3LczIOn+y6MG23NkxjCFrhlPl8yqs37Pe76giIiIiQeeSC6eZ3QAs47/7cMb3k9AiKyIStK6+GqZMgb59IV06eL9/KA8tGsOrty+j1FWlWLdnHXNa3sCcdx/0O6qIiIhIUElIMewLZAe+BW4CsjrnQuL6uSxpRUR8EhICTz/trWJbpAgsXw6d6lfg6RxRvEUDHlh8ljpPf8ysm0tx7NBev+OKiIiIBIWEFMOqwAbnXBfn3Crn3LHLFUpEJFhFRnq32LZvD0ePwt23h7N5+1TmPe6tYlvvl838VaYQv83/ye+oIiIiIr5LSOGMAVZdriAiIilFjhzw3XcweDBkzAjDh4fQY9JI5n32PdvzpKfUzlMUqN+Kea/ejYuJ8TuuiIiIiG8SUjiXAkUvVxARkZTEDHr0gKgoKFsWNm2CFr3aM+GZP1hYuyhZzkCt3sMY+lANjp4+6ndcEREREV8kpHC+DkSYWevkDmFm6c2sgZn1M7PFZrbLzE6b2d9mNsbM6l5kfGczm2dmh8zsqJlFmVkvM4v390vsOBGRc8qWhaVL4b774NQpePjJ/LyX63dmPHcXywsaj+RYTOXPK7P6n9V+RxURERG54sw5d2knmtUGWgKPAt8AvwB/4d1q+z+cc3MvOYRZQ2Ba4OVuYDlwDCgDlAu8/7pz7uULjP0Y6AmcBGYAZ4AGQFbgR6C9cy46ucbFFhER4aKioi71VxWRVGz0aLjnHjh8GK65Bt78bA19tnVk/Z715DobxrfWnoa9R2Ah+n9aIiIiknqY2XLnXMQFP0tA4YwBHN62Jxcb5Jxz6RIQsD5e+fvAOTcv1me3ASOBUKC+c27WeZ+1BcbgldTazrnfAu9fDcwCSgOPOuc+iHXNRI27EBVOETnftm3QqRMsWQKhofBC72PsrPAYNV7+nG6rYGHE1ZT8cR65C5XwO6qIiIhIskiuwjmbixfN/3DO1bvUcy/hu4cAdwPDnHN3n/d+FFAJuNM5NyLWmDrAbLxSWdA5F5PUcReiwikisZ05Ay+95O3bCVCvHjxf93GqvNWfbKdgR84Qdn32PlXaP+JvUBEREZFkkCyF009m1gsYCEx1zjUJvFcI2AGcBnI4505cYNxfQEGghnNuYVLGxUWFU0TiMnUq3H47/Psv5MoFH78ynxv7N+X67Uc5azDtjpo0GDyVsLBMfkcVERERSbT4CmdKeZDo3L1nu85776bAcd2FSmPAsljnJmWciEiCNG4Mq1bBzTfD/v3Q6ZGa9Kv7LwvaViedg6Zfzmdt2bz89pcWFBIREZHUKegLp5nlA7oFXv5w3kfntmj5I57hf8Y6NynjREQSLF8+mDwZPvwQMmSAIcMz0W3VAn5+sz//ZgtlVfhRbhpRnS9WfkFKuONEREREJCHiLJxm1jg5viAp1zGzdMDXQHZghnNuwnkfhweOx+K5xLnN77ImwzgRkUQxg4ce8vbsrFABtmyBFi8/yuf3b2bu4+04duYYd/10F48MbM7Bf/+8+AVFREREUoj4Zjh/NrOZgUV0EszM6prZLGBK4qIB8CneViU7gK6xvyJwTOiUQGLH/fcCZvcG9uyM2rNnT2IvIyJpTLly3p6djz8O0dHw4jvXsfmz73mvxpfkIQsPvDaFQ2WKsWrcZ35HFREREUkW8RXO5/BWcp1pZpvN7EUzq2ZmYRc62cwymFl1M3vZzLbg7W1ZEXg2McHM7AO8lWl3Aw2cc7tjnXIkcAwnbuc+O3Lee4kd9x/OucHOuQjnXESePHniuYyIyP+XIQP06wfTpkGBArBwgfFqmzt4PcsULFNmCu87S9m29zOrez3Onj7pd1wRERGRJImzcDrn+gKlgKFAIeA1YD5w2Mw2mNl8M5scOG4ADgHzgN5AfmAwUNI5925CQ5lZP+BhYA9e2fztAqdtDxwLx3Opa2Kdm5RxIiLJpmFDWL0a2rSBI0fg/qdq8Wrkbma2iSRdDNQbPpv1ZfPy1+r5fkcVERERSbR4Fw1yzu12zt2LVzifARbj3ZJaCqgO3Bw4lsK7RXUe8Dje/pUPOOf+SWggM3sncI19QCPn3Po4Tl0ZOJY1s7j2FKgc69ykjBMRSVZXXQVjxsDQoZAlC3w7Jivdli1mdO932ZUthApbjpC1Si0Wvveo31FFREREEiXB+3AGSlpZIC/eYj4HgX/xthlJ0v1fZtYHr9gewJvZjLfwmdlyvNt273TOjYj1WR1gNt4tuQWdczFJHXch2odTRJLDli3QpYv3jKcZPP3QZlourEP1qN3c3hpiunZmYNOB5MyU0++oIiIiIv9Psu7D6Zw74ZyLcs5Nds5945yb4pxbngxl83W8snkQb2bzUmYX3w4c+5pZ8fOulRcYFHjZ5wKlMbHjREQui+LFYf58eOklr3D2/bAkD0b/zYjXH2FspUyMWjOKCp9WYO6yHy5+MREREZEgkeAZzssSwqwlMD7wMgpYF8epG51zfWKNHQQ8AJwEpgNn8Fa2zQaMA9o556Iv8J2JGhebZjhFJLktWABdu8L27ZApEzzd5zd+znw7R1csYfEQWNAhkjpDppMxY3xrn4mIiIhcGfHNcAZL4ewGfHEJp85xztW9wPjOQC+gPBAKbASGAZ/EN0uZ2HHnU+EUkcvh0CFv786vvvJeN2h0lp7X3cqtgycR4mBVkUyEff0NpWu08jeoiIiIpHlBXzhTMhVOEbmcRo+GBx6Affsge3YYcM+nNBn6EPkPnuV4eljQqyX13x1DaLr0fkcVERGRNCpZn+EUEZErp317WLsWWrTwZj2797ufJ2r9wcLapch8BhoN+IkVN+Tlz7UL/Y4qIiIi8j9UOEVEgly+fPDTT972KeHh8M2EArTeuJFvH3qRfVlCKPPbQW4Z3ogvVn6B7loRERGRYKJbapNIt9SKyJW0fTt07w6zZ3uv7+24gYLX9OCVLAsAuLVUKz6v+S65C5XwLaOIiIikLbqlVkQklShSBGbMgAEDIGNGGPxtaT7/dh7PlBxBtgzZyDNyPDGlr2fpZy/7HVVEREREhVNEJKUJCYFHHoGVK6FyZfhrh9G38+3cunMV3f/IRd6jMVS5/3XmNSnN0X27/I4rIiIiaZgKp4hICnX99bBwIbz2GqRLByM+KkK3k//wY5cWnAqFWlM3cqDktaz6/iO/o4qIiEgalaBnOM2sIlAfuAm4GsgBHAD+BVYAs5xzKy5DzqClZzhFJBisWAF33AHr1nkzoC/ePZaOP3eh9I6TxABz2lai6vDpZArP4XdUERERSWWS9AynmeU2s+fMbDuwDOgLdMIrnhWBBoHX7wDLzGy7mT1rZrmT6xcQEZH4VawIUVHw1FPgHLz2eRu65NzDxNY1cQY55y+n8pAqLNqxyO+oIiIikobEOcNpZhmBp4CngSzAGbxZzEXAemA/cBjIBlwFlAGq4c1+pgeO4ZXT95xzJy/rb+EjzXCKSLCZNw+6dYOtWyF9enj9zi9YcPUbTEi/lRAL4fkKD/LCzW+SMWO431FFREQkFYhvhjO+wvkHcA1eyRwGjHLOHbyEL8sJdAG645XPP51zRRIXPfipcIpIMDp61Jvt/PRT73WFiiep+HhvRvz+LqO+j6HMkYzYsC8o16Cjv0FFREQkxUvsLbX7gVuccxHOuUGXUjYBnHMHnHMDnXOVgJaB64iIyBUUHg6ffOJtoVK0KKxekZGvu/XhwcMTqbUzHeX/PEmJJp2YenddTp085ndcERERSaXiLJzOuZucc5OScnHn3ETnXMWkXENERBKvfn1YvRoefBDOnoUP+zWldcG/mFmvPBmiofGwOWwplZv1M7/zO6qIiIikQtoWRUQklQsPh48+gjlzoFgxWLr2ahrPXU3fzv35O2c6yv55kuKNOzLjnvqcjj7td1wRERFJRS65cJrZMDO76xLO62Zmw5IWS0REklvt2t5s56OPQkwMPDvqUVrm38HUeuUJi4a1a2cROSSS1f+s9juqiIiIpBIJmeHsBtS8hPNqAHcmKo2IiFxWmTND//7eSrYlS8KK9floOmc1r3Xqz2etC/Pr7l+JGBzBoFGPc/bUCb/jioiISAp3OW6pTQ/EXIbriohIMqlRA379FZ580nv9yjePcvartbS5picZTpyhWc/+bClxFZtnjvY3qIiIiKRol6NwlgUuaUVbERHxT6ZM8O67sHAhlC4Nv60L58d7Pubu3UMICQ3l+h0nKNqoA7O61eXU8SN+xxUREZEUKM59OMF7bvO8l92ALcD8OE5PB5QGKgKTnHMtkyljUNM+nCKSGpw8Ca++6hXQ6GgoV2onfQs0odmstQBsLJiRM0MHU77J7T4nFRERkWAT3z6cFyuc598a6wC7hO/bDTRxzq1JUMoUSoVTRFKTqCjo3h3Wej2TF9p+wL2zn+TafWc5EwKTetSl8UeTyJw+s79BRUREJGgkpXCeW/zHgGF4s5tD4zj9NPA3sNg5l2bW1VfhFJHU5tQpePNNePttb+/O4oX28EGxJjSbs5JWHWFdtWIMaTmEukXq+h1VREREgkCiC2esi2wHvnfOPZ2M2VI8FU4RSa3WrIEePWDJEu9195bfs7jhG2zY793AMvBsE7o+OozsVxXwMaWIiIj4Lb7CecmLBjnniqhsioikHeXLw4IFMGAAZMkCX/zUgZ29o2iV7VUq707H/W/+wqGS17J42Gt+RxUREZEgdTlWqRURkVQiNBQeecR7pvPmm+HQ/jDGP/4yJdZ/x5YCmbl2fzRV736FufWuY9+OzX7HFRERkSATZ+E0s7fMLHtSLm5m2c3sraRcQ0RE/FekCEyeDCNHQu7cMGpuGyrt28fwRs04mQ5qz95GTOnrWfjuw7gYbcUsIiIinvhmOJ8BtpnZK2Z2bUIuambXmllvYCug23BFRFIBM+jcGTZsgNtvh2MnM9J92iTa3DCV5cWzk+eYo/rTH/FV53LsPLLT77giIiISBOIrnDXw9t18BdhqZtPN7Dkzq2tmV5tZOgAzSx94Xc/MnjezmXhF82XgN6D65f4lRETkysmdG0aMgJ9/hsKFYcryRkRu3cuApl3Zkd14vsAGynxchsHLBxPjNNspIiKSll10lVoz6ww8CkTg7cV5vlNAhvNPDxwXAx84575LppxBS6vUikhadvQovPwyfPABxMTAdWW3kefeh1hyYBIhMfD9/Hzc8PrnFK/ewu+oIiIicpkk17YoEcCtQF3gRuD8Xb+PASuAWcA459yvSQmckqhwiojA0qVwzz3eVirgqNPreyL/7kHfcUc4FQrz76hLjYHjyZg5m99RRUREJJklS+G8wEUzA9mBg865E0nIl6KpcIqIeM6cgXffhddeg1OnoGj+bXx0zc00X+qtXrupQBhHB31ApVb3+5xUREREklOy7MMZm3PuuHNuV1oumyIi8l/p08Pzz8OqVVC3LmzbVZQWSzdxf43+/HlVekrtPM2NrR9g+i1l2f/Pdr/jioiIyBVwyYXTzEpfziAiIpI6lCoFM2fCl196Cwx9tuBRyh/7h2+rVccZNJy4nrd6lmfUmlEk9i4bERERSRkSMsO51swWm9n9ZpbjsiUSEZEUzwzuuAM2boS774bDJ3PSadECbin5Iz9E5qN/uaN0GduFm0fezLZdG/yOKyIiIpdJQgrnHqAK8DGwy8y+NbObzcwuMk5ERNKoq66CIUNg7lwoUwZ+3ngr7ZbspMqeoeTIkJN1K6aSqWQZZj3YgjOn9ISGiIhIapOQwlkAaAH8EHjdAZgE/GVmfXTLrYiIxKVWLVi5Et56CzJmNBZ/chcxH27kid8qke8o1Pt4EluL52L9hC/8jioiIiLJ6JILp3Muxjk32TnXAcgP9AKWBf78NN4tt0t0y62IiFxIWBg89xysWwc33wyHd+Xl8YlR3Ffldf7MmY5Sf53k+pZ3Ma9FBY78+5ffcUVERCQZJGqVWufcQefcJ865qsD1QF9gJ1AZ75bbnckXUUREUpPrroPJk+G77yBfPhi89EXKHNvFl9UiiQ6BWpPWcLx4YeZ8/pIWFRIREUnhEr0tyjnOuc3OueeA64APAQMyJPW6IiKSeplBhw7eokK9esHxM7nptmgxjUuMYUXhcHIfjeHR5W/QdGRTtuzf4ndcERERSaQkF04zK2tm7wJ/AA8F3tbKDyIiclHZs8PAgbB4Mdx4I8ze1JaIPw7QvcUzbCuck19+/4Vyg8rx3asdOHniiN9xRUREJIESVTjNLJeZPWhmy4DVwBNAPmARcC/ec50iIiKXpEoVWLYM3n8fsoSn46sJfTjVbyMVrRuN153itt6j+bNYbpZ+977fUUVERCQBLrlwmlmomd1iZmPwntH8AKgE/A28DZRyztV0zg1xzul/Q4uISIKkSwePPebdZnvbbXByX15WvPIFGdZ+yParwii56zRVOj7B7LpF2PX7Kr/jioiIyCVIyAzn38A4oA0QA3wH3AwUds694Jz77TLkExGRNKZgQfj2W5g+Ha6/HsasfYjS+/fwaaUGnAqFunP+IGO5G5nxZDvOnjnld1wRERGJR0IKZ15gKfAAkN8519k5N9VpCUEREbkMGjSAVaugb18IyZSNB5ZPp1KO2cwvnpecJ6FBvx8Y0KkoC3cs9DuqiIiIxCEhhbO0c66ac+4z59yhy5ZIREQkICwMnn7au822XTtYt68Otbbspke551haOAO9S+6ixrAa9PipB/uO7fU7roiIiMRyyYXTObfpcgYRERGJyzXXwOjR8MsvULKkMWTtW0T+vY/CR14gfUh6vlk8hJ0l8jH/pTuJiT7rd1wREREJSPK2KCIiIldK48awejW89RZkSp+F9QPfIP2Q1Ty2thTld0VT840RbCiRkw2/jPQ7qoiIiBBEhdPMSpnZI2b2tZltNLMYM3Nm1i6eMcMD58T1s/Ei39nZzOaZ2SEzO2pmUWbWy8yC5p+LiIj8fxkywHPPwYYN0Lo1HP/zet6YsJ4HbniQnVlDKLvtKKVu7sqc5uXY//fvfscVERFJ04KpWD0ADAC6AKUAS8DYBcCXF/j5Ma4BZvYxMBKIAOYB04CSwEBgjJmFJvxXEBGRK6VwYRg7FiZPhmLFQvh01UeUOvUHQytWIjoE6kxeR3SpEkx9536iY6L9jisiIpImBVPhXAu8C9wGFAfmJGDsEOdctwv8PHehk82sLdAT2A1UcM61cM61BkoAG4DWwINJ+WVEROTKaNoU1q6F11+HsyGFuGfF/7F339FRVP8bx983hZYQeoAQem9KCb1XFREb9o6oX7EgghQbigVEQZSmKIqIINJRQKV3hNB774TeW0Ky9/fHLor5QQSym8kmz+ucOZfsnZl85jInu89Oi6ZG+ESWFMlOnnOWL1d9TfVvq7N472KnSxUREUl3Uk3gtNZ+a63tbK39xVrr63OgLgfRLlc+P9Raewj3kVaArjq1VkTEP2TKBG+//c/dbFcevJtau45xf6V3WVIhkhUxK6j9XW0GvdGQw3uSvNpCREREvCjdBSpjTCRQFYgDxiTut9bOBfYD+YCaKVudiIgkR+HC7rvZzpwJ5csHMH7V+xx7bxNF971J1cNBvNBnLoFlyzGzy4PEX4p1ulwREZE0L60EzkbGmL7GmCHGmA+MMbclcXSysqddb629cI15liWaV0RE/EjjxrBqFfTvD9lDQtj57UecH/UbfxXKSa7zlia9x7C1WHZWjunvdKkiIiJpWloJnE8CHYDngLeB34G1xpiKV5m3qKfdncT69iSaV0RE/ExQELz8MmzdCi+8AJtO3kad3Ud4sngX9mYLpOy+i1R+8FUW1itMzMZl/71CERERuWH+HjhXAa8C5YFQIAJoCawGygEzjDEFEi0T6mnPJbHes54269U6jTHPex6hEn3kyJGbrV1ERFJA7tzw1VewfDnUrRvAj9t7UfrsYfpUaMiFIKizYA8zH6vNJws+IS4hzulyRURE0hS/DpzW2n7W2v7W2g3W2nPW2hhr7RSgOrAECOefGwRddvlxKzYZv3eItTbKWhuVJ0+em12NiIikoMqVYd48GDkScubLSad1symbeT6TykbStWE8XWd2pcKgCvyxbDTW5XK6XBERkTTBrwPntVhr44Cenh9bJOo+42lDubbLfWeSmEdERPyMMfDII+672b71FsTE1uWejXs59ucf5DGl2X50K+GtHmZ5pbxsXzTF6XJFRET8XpoMnB6X73uf+JTaXZ62cBLLFkw0r4iIpCGhofDhh7BhA9x9N1xc35wjPdZQe84bFD0JUWuPUqheS2bdX5UTh5K65F9ERESSkpYDZy5PezbR6ys9bXljTOZrLFst0bwiIpIGFS8OEyfCH39AmZIZWDCvNyXNBkaUKUOgCxqPX0FciaLM6v4k8fG6vlNERORGpeXA+aCn/detB621e4EVQAbggcQLGWMaAJHAQWCxj2sUEZFUoHlzWLMGvvwSXJnL8sSmjVTLNZLoAmHkPWtp3ONHFlfKxayds5wuVURExK/4beA0xlQyxrQ0xgQmej3IGPM67rvXAnx+lcUvX9/5iTGmxBXLhgODPD/2stbqrhEiIulEcDC88or7MSrt28OaU49Qbf8Jnin8KjGhgYwudJYmw5tw3+j72HFih9PlioiI+AVj7U3frNWrjDFV+CfsgfuxJlmBrcDxyy9aa2t65r8HmODp2wLs88xfEffjUVxAN2tt72v8vkHAi8BFYAZwCWgChAETgdbW2oT/qjsqKspGR0ffyKaKiIgf2LwZOnWC336DkMCjZL59MGeqf0KsPUfHvwJpkbMG1b4YS9Zc+Z0uVURExFHGmOXW2qir9qWiwNkQmP1f81lrjWf+okB73I9AKYz7mk2LO3jOBwZaa5f/x+98FHgJd0gNxH2joe+Awdd7dFOBU0QkbZs+HV5/HdatA7IeoNj9HVkx6meyxcLBsAC2dXyG2m99RUBgkNOlioiIOMIvAqe/UuAUEUn74uNh6FB4+204ehRq5f6G/sEdqBpzDoANhbOQ8NmnVGzdzuFKRUREUl5SgdNvr+EUERFJKUFB8MILsG0bvPEGRJ96jmoxJ3m66P/YnzWAcrvPU/GBl1hSqyC79613ulwREZFUQ4FTRETkOmXLBr17u5/fec+9QfywczClLh6gZ+l6nA+GhP37KP19FbpM78Kpi6ecLldERMRxCpwiIiI3qEQJGD8eZs+GUuXz8ubmeZTKtISONe4i1hVH70W9ada9KLPfeoz4S7FOlysiIuIYBU4REZGb1LAhREe7r+90hdbgr7GTYchScp6pR7fJJ2j08Ui2Fs3Gkh8+RvdMEBGR9EiBU0REJBkCA6FNG/fzO99/H0JOVeN4n7mMOduBPWFBlN0fS82n32JxlXA2zZvgdLkiIiIpSoFTRETEC0JC4N133cHz+ecNow/0pfTZo3Qvcgdng6H2qqOUaHgfs+8oy6Gd65wuV0REJEUocIqIiHhR/vzw9dewZg00uSMbPXZNpUTgeoYWrYAB6v65iWYDqtNjbg/OxZ1zulwRERGfUuAUERHxgfLl4bffYOZMiChbjrY711IhbCod6lZibdgFus/pTun+pZj1+au44i85Xa6IiIhPKHCKiIj4UOPG7hsLDR8O58LuYOC8lfD9HMLOVqHWXwdo/Hp/thbNxsrhvZ0uVURExOsUOEVERHwsIACeeAI2b4aePSHsRANO91lG3LLX2BsWSOl9F6j8VBeib83DljnjnC5XRETEaxQ4RUREUkjmzNC1K2zbBi+/FMDUfZ9T6vwh3ix+G6cyQtSaoxRv3Jp5zUqxf9Myp8sVERFJNgVOERGRFJYnD/TvD+vXwx135eWT45UAACAASURBVKLn9t8pEbCBQcVuxWWg/oytDG5fm24zunHy4kmnyxUREblpCpwiIiIOKVUKxo+HhQuhTNWyvLRjFeWz/sl3JYvRp1o8vRb2oviXxflxRGdiL+qOtiIi4n8UOEVERBxWuzbMmweTJ0OGyGY8u3U7F4f9RciRBiQcP06L5z9lf6HszO/bAZcrwelyRURErpsCp4iISCpgDNx1F6xeDd9/DwUDqnNu4GwKj/qSExkzUOxIPPU69mND8TBWjOrrdLkiIiLXRYFTREQkFQkMhKefhi1b4LPPDHvPvELZk6d4MfJxDoYEUGHXeao82pFllcLZOlt3tBURkdRNgVNERCQVypQJOnaEHTugU9dMDDv6IyViY3i3cBPOZIBqq49w6rHWPDPxafae2ut0uSIiIlelwCkiIpKKZc/ufnbntm3wyNPhfLR3BsUCN/Bl0Uq82TSQYat/oGT/krz/84sc37PF6XJFRET+RYFTRETEDxQoAN98A+vWQb3by9J+50qm/7aZDFseJjYhlmI9vyKwVGlmP9eUsycOOV2uiIgIoMApIiLiV8qWdT9KZdEiqFehOHEjRxE4eCm5j+chWyw0+nYm5wpHMLvrw8TpUSoiIuIwBU4RERE/VKsWzJ0LU6ZAhXzVaLHvMI3z9mFZeAh5z7ho9Mlo9hfKztzPXiEhId7pckVEJJ1S4BQREfFTxkCLFrBiBYweDfuzvU71w6dpHdGZrdkzUPRIPHU7D+CuD8vx6+ZfsdY6XbKIiKQzCpwiIiJ+LiAAHnwQ1q+Hb78NYGngJ5Q7eYr/FXiSftWyMo2ttPq5FXW/q8OKKUOdLldERNIRBU4REZE0IigInn3W8wzPfpkYH/cDnZYfgWn9CL6Um+yzFlOlZVuWVg5n84zRTpcrIiLpgAKniIhIGpMpE7Rv736G54fvZyRsY3sufbqDiOi7OBsM1VcdoXSzh1lctzB7ls5wulwREUnDFDhFRETSqNBQeOst2LkTunTIyk97J1MsaD19C1fmYiDUWriHiFrNWNC8DAfWLXG6XBERSYMUOEVERNK4nDmhVy/Yvh0ebFOOrgdWUDLLIr4tXBIs1J2+mW/a1+W131/j0Fk9w1NERLxHgVNERCSdyJ8fBgyAzZuhyX21eGHvFspln8rQokX5rEYCX/z1BcW+LMbA/k9yIman0+WKiEgaoMApIiKSzhQtCsOGwdq1UKnpHbTduYOz360iYGsrOHee+7v9CMWLMeOFZpw+cdDpckVExI8pcIqIiKRT5crBL7/A6tVwT61bcf00idxDJ7IpNAc5LkDTITO4UCiCme3v5vyZ406XKyIifkiBU0REJJ275RaYMAGio6FC1btpdOgYzcI/Y1nuUPKetTT5cjKnIvMwp/ODxF4853S5IiLiRxQ4RUREBICqVWHKFFi0yGBu7Uj1o6dola87q3JlJv9pF7mHjaH0oLIMXTGUSwmXnC5XRET8gAKniIiI/EutWvDnnzB3bgCnS79HlWNnuD+iM51qF2H3mb20/bUtjT8qyaKP/kdCXKzT5YqISCqmwCkiIiJXVb8+zJ4N02cEElP4E/6YvA3GjiTwZEkem7yb2m9/ze5CYSzq/QoJl+KcLldERFIhBU4RERG5JmOgSRNYuBCmTQ0kKtMjJHy5gXlHn2N7tiCKHYqjdpcB7CgcxqLPX8eVEO90ySIikooocIqIiMh/MgZuvx2WLoVJE4LYkH0IZc6cpG2hJ9idNZCSMbHUfv1zthTJyqyRH+GyLqdLFhGRVECBU0RERK6bMdCqFaxYAWPGhbA853BKnjvJi4UeYV9oIGX2XaTjvLep/HVlJmycgLXW6ZJFRMRBCpwiIiJywwIC4J57PMFzfChLco6kxPlj3FXif6zJWoA1h9Zw3y/3MbJpOIuHvIt16YiniEh6pMApIiIiN80YuPtud/AcPT4b+7MOxtVvG0ztT/3NuXhs1lFqvfAB64tn5a8h3RU8RUTSGQVOERERSbbLwXP5cpg0LhNV4l8m+pfNdCx0N4eyBFBh13lqvNCDjcWysmzIewqeIiLphAKniIiIeM3lazyjo+HnCbmYm2ciRWMP83phd/Ast/s81V54nxVlszN1yxRd4ykiksYpcIqIiIjXGQN33QXLlsEvE3MxP89EisYdokPhVhwMCWBGnjPcOaol1b6pxuQNE3TEU0QkjVLgFBEREZ8xBlq2dD9OZczE3CwMn0Sx2IN8FPcR5lxelscsZ3LX+9hUJJTF/bvgciU4XbKIiHiRAqeIiIj4nDFw553w118wdlIeygW8if18J0z7gmeWB1N27wVqvdqbLYVDWfhFJxLiLzldsoiIeEGqCZzGmNLGmPbGmBHGmE3GGJcxxhpjWl/Hso8aY+YbY04ZY84aY6KNMS8ZY5LcvptdTkRERG6OMdCiBSxeDNOnZaZ+xldpeugQrxZqzYGQAMrsu0id1/qwtUhW5vd9TcFTRMTPpaZg9SLQD3gMKA2Y61nIGDMQ+AmIAuYD04FSwABgrDEm0JvLiYiISPIZA02bwty58MesHGwqPYZiF47zcsGH2R8SSJn9sdTr+AUdny/M8NXDiXfFO12yiIjchNQUONcBnwIPASWAuf+1gDHmfqAdcBC4xVrb0lp7L1AS2AjcC7zsreVERETE++rXhz//hLmLsrGn0iiKnz/BS5GPMS8iEwMjY3hq4lOUHlCayT++zaWL550uV0REbkCqCZzW2m+ttZ2ttb9Ya7df52LdPG0Xa+3WK9Z1CPcRU4CuVzlF9maXExERER+pUQMmT4YlK7JyqMYIGhw8TfzkYXCsJKf37aBpm484FBHG/G6PEXv2lNPliojIdfDbQGWMiQSqAnHAmMT91tq5wH4gH1AzucuJiIhIyqhUCcaOhXVrgnmswlOYQRsoOOEDdmfNQOSJBOr1GsmJAjmZ1/5ezp884nS5IiKSBL8NnEBlT7veWnvhGvMsSzRvcpYTERGRFFS+PIwYAZs3BlG5/tvceuYMrSNfY1WuTOQ77aL+lxM5F5mX2S/czukLJ50uV0RErsKfA2dRT7s7iXn2JJo3OcuJiIiIA0qWhKFDYcvWDITf9TnVT5/lrgJvsjRPCHnOWRKm/0GhL4rwzqx3OHr+qNPliojIFfw5cIZ62nNJzHPW02b1wnIiIiLioCJFYNAg2LUrkDKPfESjc6dplq8nXcpX4VTsKT6c/yF3v1GQmQ9V5+CONU6XKyIi+HfgvPzYFJtCy/2zAmOe9zyzM/rIEV07IiIikpIiIuDTT2Hv3gDqvdiVXYuWw9AFsPUOOs26SJNflhFW5lZmtarI3nWLnC5XRCRd8+fAecbThiYxz+W+M1e8drPL/c1aO8RaG2WtjcqTJ89/FioiIiLelzMnvPsu7N4NfTvUIWL2VHodGcbkiPxkuQSNf11H3kp1mNekBDuWTHO6XBGRdMmfA+cuT1s4iXkKJpo3OcuJiIhIKhQaCh06wI4d8Fyvp+iY5QC3Zh/PqMgiBLqg/qztFKnVgoHtqrEyZqXT5YqIpCv+HDgvv2OUN8ZkvsY81RLNm5zlREREJBXLmBHatoVNm+DNr+6lV86dlM46k68LleVcBuiVKZoqQ6rQ4qcWLF75K9blcrpkEZE0z28Dp7V2L7ACyAA8kLjfGNMAiAQOAouTu5yIiIj4h8BAeOghWLUKvhzVmB8LbiAiwyb2begAcVn4fcs0sjdvxfqS2Vg6+G1cCfFOlywikmb5beD06OlpPzHGlLj8ojEmHBjk+bGXtTbxV5g3u5yIiIj4CWOgRQtYsACmTi3N7aYv9NtNyd9fIvysocKOs1Rv9xHbCoWy4OMXuRR7rcdzi4jIzTLW3vTNWr3KGFOFf8IeQDncjyXZChy//KK1tmai5QYBLwIXgRnAJaAJEAZMBFpbaxOu8vtuarnEoqKibHR09HVvp4iIiDhn5Uro3Rt+G3+Qtvn/R8djvxJ51v398p6cQexoex/V3/2aLCHZHa5URMR/GGOWW2ujrtaXmo5whgE1rpguPwOzZKLX/8Va2w54DPdpsg2A24BtwMvA/dcKjTe7nIiIiPivypVh1ChYvTEfl1pOpFzCSdoWfJqt2YIpdDyeUoN+oeSXJfhw3oecuHDC6XJFRPxeqjnC6a90hFNERMR/HTkC/fvDwP6XaJKlG0GlJzCqwQ4AIhNCGLalPOV7DCZfqSoOVyoiknr5yxFOERERkRSVJw/06AG79wZTp/NnzN+2DYbNgm3NeWLhOZqMXkqOclWZ36w0O/UsTxGRG6bAKSIiIuleaCi0bw87thuG92hEhVV/8MeaEYwtUIDgBKg3YwuFa7Xgr+oF2DB5qNPlioj4DQVOEREREY/gYHjiCVizBj744TH6F99H6Wx/8nWhMsQFQo1lByh3d1t+uS2SKVum4NIN7UVEkqTAKSIiIpLI5UeqzJ0LP/7ejD+qbqRIppV8XKQmJzPC93n203JUSyoOrsjIWV8Qe/6M0yWLiKRKCpwiIiIiSahZE8aPh7nLK7G7+WKKB+/j9+2fwqlINhzZgGn/GscisjPrlZacOrLP6XJFRFIVBU4RERGR61C6NHz9NWzcXoB3m3ci54jtBI8bSrmYTEScctF4wBRchQoy85GaHNi6wulyRURSBQVOERERkRsQHg7vvw97d2Wg3//acH+2s7TM35154dnIcRGa/PwXucpWZV7TkmxeMd3pckVEHKXAKSIiInITsmSBdu1g85ZA2gx4jy7FTlIr91DGR7jvbFtn1jZuH96cFj+1YPbO2ejZ5yKSHilwioiIiCRDYCDcdx8sXgx9JrVhRI19lA6bwQsVGrErNDPTtk2j8Q+N+aNmbhZ/8grxsRecLllEJMUocIqIiIh4Se3a7hsMTVnWhOA6s8g4aA/Mfo/m68O4felxanUdwKF8WZnz6t2c1g2GRCQdUOAUERER8bJSpWDwYNi7OTfvNerOuvk7aVv4MTbmyECBkwk07D8ZW7Ags1tHsX/9EqfLFRHxGQVOERERER/Jkwe6d4dtO3NS460R3J/3HC0LvM2cvNnIFguNxi3H1q7Fo788RPSBaKfLFRHxOqML2JMnKirKRkfrDUJERET+m8sFf/4JffvC8ZXD6ZjpHdaU2kuv+u7PY3fkrs27GZpS/dl3CQgIdLhaEZHrY4xZbq2NulqfjnCKiIiIpJCAALj9dnfo/H7Wk8xovps+a3bBoo5wMYzykxZR8/ke7IjIwpw3H+P86WNOlywikiwKnCIiIiIOqFgRhg6FvesK0b3WZ+QavpcT2x9kX2ggJQ7F0bDnSC7kz8Ocx+tyeNtqp8sVEbkpCpwiIiIiDsqbF957D/ZtD6PWm6O5s/AZHol8hWW5s5DrvKXhTwvJXqYSY56KYvVBBU8R8S8KnCIiIiKpQKZM8OyzsGptZp4Z+iXvVD1D3fCBjIvMT6ALfopdTqWvK9H4h8ZMjR5FQvwlp0sWEflPCpwiIiIiqYgx0Lw5/P57AENmt+OPOw5QLtdsfj35MsSGMnvXbI4++yh784cwt9MDnDkW43TJIiLXpMApIiIikkqVKwdDhsDCjQ35oH5/8o3cR/DU3tTYE0SRo5do0GcsCZERzH6wGnvXLXK6XBGR/0eBU0RERCSVy50b3nwT9mzNxvAOb9Cm9FnuL9CJheFhZL8IjcZEk/+WOiysXZDoeT+jx96JSGqhwCkiIiLiJ4KD4eGHYeGSjHQZ/ymDmp6iVvgwRkUWBqDW4n08PPYRqg2pzk9rfiIuIc7hikUkvVPgFBEREfFD1avDTz/BuJVPseHpXVSOWMqzZVqyPVNulh+M5vHxj7OgfBhzn23KsV0bnS5XRNIpBU4RERERPxYRAR98AMu2VaPeG79SYfoemPwNtdYUpfHmWBp8N5OQkuVY0KQUm6f/7HS5IpLOKHCKiIiIpAGZMkGbNrBmRWZm92lLuGsbTfJ/wuQC4WSIh7qztlK6+SOsLpWNJZ93Ij7uotMli0g6oMApIiIikoYYAw0bwsSJAXy7sDPzHj5E5YgZfF64Mqcywq1bT1P87T6U6lOSXgt6cfT8UadLFpE0zOguZskTFRVlo6OjnS5DRERE5JrOnXNf7zlkwAFqnnoNW2QugxofBiBXXEZ+WVmMiC4fUKbB/Q5XKiL+yBiz3FobdbU+HeEUERERSeNCQuD552HZ6ggeGP4LB/PEEPDT77ClBY+uiKXxtI2Uadia6HI5WDygK/GXYp0uWUTSCAVOERERkXTCGGjQAMaNDWDXzNt4s8gUFm/4nUEFK3IuGKI2nqTWK58QkzeEOe1acGLfNqdLFhE/p8ApIiIikg4VLAgffQTzN99GyAdruOOWXXQodC/bsgVT8EQCDQdPY1X90rSd/ByrDq5yulwR8VO6hjOZdA2niIiIpAXWwl9/Qf8v4zk9/2NedPVnWO2jjKng7n+YyrySuQ5Rr/QkQ+ZQZ4sVkVRF13CKiIiISJKMgZo14aeRQQxZ+i7Lnj/C7LWbYUl7uBhGk0krqd1lACfyZmP2Uw04uGWF0yWLiB9Q4BQRERGRf8mfH7p3hwNrSzH6mX7U+Ws/C048ydqcGcl7xkWj4fPIVbYqC+oUYtW4gViXy+mSRSSV0im1yaRTakVERCQ9WLcOBg1ysW1Kf55zfca9+/cR5PkY2e/OvGR+730eu+UxQjPodFuR9CapU2oVOJNJgVNERETSk9OnYcQI+PmrZTQ//TrPHVlEw2dcbMoDIYHZ6BF6O/fWbkPR6s2dLlVEUoiu4RQRERERrwgLg3btYO7qatT7YT6vtjjNlgUjYU8dziWcot6noyla4zaWVcjN0kFvkRCnZ3qKpGcKnCIiIiJywy4/03P0mBD2Tn2E9wotIHLMYtYEleJCEFRbf4zqL33MwfAQ5jzXjCM71jldsog4QIFTRERERJIlIsJ9k6EdK2uSrc9m7qu7nQ6FW7ElezAFTiXQ8NsZZCtZkfffbsS83fPQJV0i6Yeu4UwmXcMpIiIi8v9t2ABffxXPjl8/pc2lL6l3/CCFO8D5DFAyW3l6ZWlO03tfJyxPpNOlikgy6RpOEREREUlR5crBF18G8fO6bpzoEUPLShs5v/gdOJOP/UfW0/jVzzGRBZnTojyb54xzulwR8REFThERERHxmZAQaNMGliwqw7LePWhzag8FJ/ZndfZsZI2DhtM2ULpRa1aUCGPBJy9x8dwpp0sWES9S4BQRERGRFBEVBUO/CWbJwpdZ+/ZJ7rhlIgMLVeRMBqiy/Qx1uw7ibHgO3h/Vjh0ndjhdroh4ga7hTCZdwykiIiJyc6yFBQvg2wEHCfmrE8+fHU98hgtUe8Hd3yCyOR8E1qHmw50IzpTF2WJF5Jp0DaeIiIiIpDrGQL168MPofLy/bAR/dDrLU/n/gFVPQnxGDq/4k3rPdOdYeFZmP1Gf/esWO12yiNwgHeFMJh3hFBEREfEelwumT4f+3x7n7IZ3GRzzDWVPxAGQYGDpreEEtnuRqk+/SWBwBoerFRFI+ginAmcyKXCKiIiI+EZMDHw31EX0yAE8cLYvrffvJoPL3bcpPIhfRr7Fs9Weo0BYAWcLFUnn0vQptcaYYcYYm8S0KYllHzXGzDfGnDLGnDXGRBtjXjLG+P24iIiIiPi7/PnhrbcDGLfuVXJ9s4tn7lxPlyIt2B4WxMIC8XRf8D6FPi9Mq29aseyHnrgS4p0uWUQS8fsjnMaYYcBTwEJg21VmibHWdrvKcgOBdsBFYCZwCWgCZAUmAA9YaxP+6/frCKeIiIhIynEf9Yxn2OSpbCvyI5SZyEMb4vl5HOzKGcTO+xtToctn5Cle0elSRdKNNH1K7RWB8xlr7bDrXOZ+YCxwEKhvrd3qeT0vMBsoC7xmrf3iv9alwCkiIiKS8lwumDEDvhh6kJyr2/PhgXEUPuM+VnApAJZWjiDTSy9R+cnOBAQGOVytSNqWpk+pvUmXj3h2uRw2Aay1h4AXPT921am1IiIiIqlTQAA0bw5TRuej9+zR/NT5Ao+W68GEAvkxFuosP0DVNm8xq1wYPeZ8yIEzB5wuWSRdSneByhgTCVQF4oAxifuttXOB/UA+oGbKViciIiIiNyp/fnjz7WBGrH2H0O8P8PRdK3iraFN2hgUxudgFus99h8g+hXi0dzOWDulOwqU4p0sWSTfSUuBsZIzpa4wZYoz5wBhz2zWOUFb2tOuttReusa5lieYVERERkVQuIACaNYMRkyrTfsl0xrx5gd/O/QbrW2Ndhoq/zqD6Cz2IyZOFmU82ZJ+e6ynic2kpcD4JdACeA94GfgfWGmMSXzFe1NPuTmJdexLNKyIiIiJ+JDwcOncJYvvcO5n/6hge3LePvYfuZVu2YCJPJdDkx7nkv6U2CyuGs3hAVy7FXus4hIgkR1oInKuAV4HyQCgQAbQEVgPlgBnGmCsfzhTqac8lsc6znjbr1TqNMc97HqESfeTIkeTULiIiIiI+ZAzUrQujv8vLx0vH8+eHF3iiSh9+jixEgoE6645Q65VPGF4vFx2ndWP78e1OlyySpvh94LTW9rPW9rfWbrDWnrPWxlhrpwDVgSVAOP/cJAjAXF40Gb9ziLU2yloblSdPnpsvXkRERERSTPbs0O7lQH5c/jqlJu3mjac20bVYKzZlz8CP5S7Qd2kvSvQvwXOvVWVhz5e4eOaE0yWL+D2/D5zXYq2NA3p6fmxxRdcZTxvKtV3uO5PEPCIiIiLip6pUgS++K827ayexpO8FThxZAKuegkuZuWfqCuq8OYgL4bmY2eIWNs0c7XS5In4rzQZOj02e9spTand52sJJLFcw0bwiIiIikgZlyQJPPxPA6il12NhzGK/ExvB7wGMsy5OFHBctTaatpUzTh1kbGcLsLo9w8lBStwERkcTSeuDM5WnPXvHaSk9b3hiT+RrLVUs0r4iIiIikcWXKwJefZqPv2hHsH3KOZ5v9zIDCt3Aio6Hi/vM06v0zPR8vwT0/PMncXXOx9qav0BJJN9J64HzQ015+zAnW2r3ACiAD8EDiBYwxDYBI4CCge2WLiIiIpDPBwXDPPTD0z4e4b9Fqvn7rGO0qvMT0/DkYVimeSbt+pOEPDel8T15mPH8Hh7avcbpkkVTLrwOnMaaSMaalMSYw0etBxpjXcd+9FuDzRItevrbzE2NMiSuWCwcGeX7sZa11+aJuEREREfEPERHQ9Z0cDFwzgMy/HKf+qe0ELXqbgJMRvDz3CE2/+Z2cpW5l/q35+GvQW8Tr8Soi/2L8+VQAY8w9wATgOLAF2If7USYVcT8exQV0s9b2vsqyg4AXgYvADOAS0AQIAyYCra21Cf9VQ1RUlI2OjvbK9oiIiIhI6nfmDIweFcfyoR9z2/4htDwQQ5DnI/Wh0ADWNqlKkbc/okRUM2cLFUkhxpjl1tqoq/b5eeAsCrTH/QiUwriv2bS4g+d8YKC1dnkSyz8KvIQ7oAbivsnQd8Dg6z26qcApIiIikn5t3AjD+68lYGY3HjsynXIn4gBo/jjsrliT1xq24bFbHiQsUzaHKxXxnTQbOFMDBU4RERERuXQJfvvVxR9fDaXkjv50br0TV2b3fStHjgskb2hhcrzyMrc++AoBgUEOVyviXQqcPqTAKSIiIiJXOnwYvhtxjoGzxnEmbAiHRy8kg+fcuZ05gtjSsj7lO39IZIVazhYq4iUKnD6kwCkiIiIiV2MtrFwJP305h1wL3uXxw4sodMZ9ixAXsKRUTo5+3JVmrV4mc/C1ntYnkvopcPqQAqeIiIiI/JfYWJg0MY75g/tQZ/tX3BuzhyAXFOoAx7Jm457ij9KlYisq3dIcE+DXD5KQdEiB04cUOEVERETkRsTEwPCvdrBh6icMr7wCCkRjXLDtS4gPzsDuVk25pfOH5C1V2elSRa6LAqcPKXCKiIiIyM2wFpYuhc9+XMvqTf2Yv/h78p53fzZPMLC4dB7sM49Srd17ZArN7nC1ItemwOlDCpwiIiIiklwXLsCEcedZ+k1P6u74jlYHDvx9o6ETmQzvv/UADz3VgZqRNTDGOFusSCIKnD6kwCkiIiIi3hQTAz9+vYVT49/i3pipRFw8T6EOkBAIeUxp+sZG0eTJDuQvXdXpUkUABU6fUuAUEREREV+wFlatgq+HzGd4zGQulPyRnAGHiPkMAi0sLpWL+CcfofrL75ElLJfT5Uo6psDpQwqcIiIiIuJrly7Bb1PjGTH8Bx5Z2p1WB/b/fcrtqYywpFpp8r7yCrfe/z9MYKCzxUq6o8DpQwqcIiIiIpKSjh2Dkd9u4+jPb9Jy31SqHT0HuJ/tectrhWhU9xlea/QExXMWd7ZQSTcUOH1IgVNEREREnLJpE4zqO5mwuR8THriGJx+64O6wMHl8bjI1v43qnT4iW77CzhYqaZoCpw8pcIqIiIiI01wumDUngU/HzGbWseFEZf6FxcNjAbgYCAsqRpLluTZUa9OF4ExZHK5W0hoFTh9S4BQRERGR1OT8eRg36iCbvutOox1jaXzwOAGevkMhhmW1bqXAl/2oVKa+HrEiXqHA6UMKnCIiIiKSWh06BD8NWErspHe5Z99syp6I41AIRL4OOQLK81SlJ+lQpSURhco5Xar4MQVOH1LgFBERERF/sH6di3GfjWDzltGMrLsUQo6S/QIc6AOrCuXg3AP3UaPj+2TNU8DpUsXPKHD6kAKniIiIiPgTlwtmzr7EJ+N/J2jDp0ycP59MCe6+C0Ewv0IhQp59huptO+t6T7kuCpw+pMApIiIiIv7q/HkYO2IXO354l4Y7JtPw4Km/+w6GGF778HlevbcNtQpV0/Weck0KnD6kwCkiIiIiacHRozBq0ELOj+/BXXvmcDgsjkbPuPuyx5dg8K4S1OrQhcJVGjpap6Q+Cpw+pMApIiIiImnN9m0uBn03n+93TuJE5EiiTh1i2TfuvmUFs3Ko1Z3U7voBOSNLOFuopAoKMjOUtAAAHHZJREFUnD6kwCkiIiIiaZW1sDQ6npGDh1Jzdi9a7d9FyCV3X1wALCyVD9ejD1O74/tkzhLmbLHiGAVOH1LgFBEREZH0ICEBfp8Uw8pBPaixYQyNDx4j0MKRLFCwfShROe+n022PcVe5RgQGBjldrqQgBU4fUuAUERERkfTm/HkY+/0a9v/YnSMmms9v3wdA2EVYPTiQ1ZUrUrj9a9za6glMQIDD1YqvKXD6kAKniIiIiKRnx47BwNGb+W7pKGod/IpRfxz6u29bzmDW1K3NrW++RfEazRysUnxJgdOHFDhFRERERNz27HYx5tMfCZ3Zj7v3rCHfedfffSsiQhjVqzuv3/ME+bPmc7BK8TYFTh9S4BQRERER+f/WrbnIb70/p9Diody1bzur80K9ZwFXAMVozGdxJWnSoRth4QWdLlWSSYHThxQ4RURERESuzVpYNPcY3/00kp8uzSS20FSqHLrE8iFwMRDml47APvgI9Tq8SeawnE6XKzdBgdOHFDhFRERERK5PQgL8OuME04b25pEFg6kfc4rLtxQ6nQEWlC9G5iefom67zgRnyORorXL9FDh9SIFTREREROTGXbwIE35YxoHhH1J/6wyqHTkPwLHMUOjVXFTL9QCdbn+UFuVrExAQ6HC1khQFTh9S4BQRERERSZ6zZ2HMoOmcHtOLw4Fr+fiOIwBkvQjRQ4JYc2tlirV/jcp3PazHrKRCCpw+pMApIiIiIuI9x49b+o9Zw7DoUdTYP5Sfpx39u29LzmBW1axNxS5dKFv/DgerlCspcPqQAqeIiIiIiG8cjIlnbK9vCZk+iDt3rSP8wj/ZZXXezAx8pxudHniCUuFFnCtSFDh9SYFTRERERMT3dm6/yKSP+5J3/ne02LOdDXmgdlt3X56LNfj0UFEad+xEwfJVnS00HVLg9CEFThERERGRlLV+9Um+HTaa78/M4VTeydxy/DyrvwIXsKRQNvY1voP6b79DvuLlnC41XVDg9CEFThERERER5yxfe45RgwZSf1o/mu+LIVOC+/V4AwuL5OJQs7to/NHH5M6d39lC0zAFTh9S4BQRERERcZ61sGzeXhb1/ZAyKyfQZP8Rgl1wPBPkez2IAtzOk1Ue4vWmd5AtWy6ny01TFDh9SIFTRERERCR1sRYWTt/G8n492H9iCZ823w4BLkJjYVc/WFY4gvMtH6R5t26E5gx3uly/p8DpQwqcIiIiIiKpl7Xw+4JDfDZlHFnWDOLXaev/7jsfBHNLRnLhrge5rVs3QrLndrBS/6XA6UMKnCIiIiIi/sHlgum/LGXLkI+ptmEmNQ+d/bvvbDA0ffle7mv4BC/ffjtZMmR2sFL/osDpQwqcIiIiIiL+x+WCP35exPZvelJ9w2wIOkeN5919Ji6EoTMLkq3pfdzR5Q0yZ83ubLGpnAKnDylwioiIiIj4N5cLJk3dSJ/5v7H07C+UstGsG+zuO5UR5pQqiuuex7mjcycyhYY5W2wqpMDpQwqcIiIiIiJph8sFv45dyoGB3am5YS6Vj174u+9kRphbqhgHOvfgmYdakyk4o4OVph4KnD6kwCkiIiIikja5XDDlh+ns//5Tam2cz61HL3IqI4S/AZcSslHGtKJrzkq0fq4NWcLS72m3Cpw+pMApIiIiIpL2uVww5btpLJj6I30j1xOfaw1Z4uDwp5BgYE7JIsTe+Qgt3uxMSLb0FT4VOH1IgVNEREREJH1xuWDMrC1M/GUwXSZ8TaUrTrs9kwHmFC/M+RYP0eKtrmTNkcPBSlOGAmcSjDGPAi8CtwCBwCbge2Cwtdb1X8srcIqIiIiIpF/Wwp8jZ7Lr20+ptn4eVY78Ez5LvJgFsrbikUqt6dTqdrKFhDhYqe8ocF6DMWYg0A64CMwELgFNgKzABOABa21CUutQ4BQREREREXCHz1ljZrF9yGeE7FvK448c+7tv8ZAAjmWN4FTT1tz+Vldy5s/rYKXepcB5FcaY+4GxwEGgvrV2q+f1vMBsoCzwmrX2i6TWo8ApIiIiIiKJWQt/LN1J32nj2LtzBBuHr/6770IQzC2SnyMN7qbp293IX6SQg5UmnwLnVRhjooGqwFPW2uGJ+hoAc3CH0QJJnVqrwCkiIiIiIv9lwa8L2TCgF7esmUPNg2f/fj0uAO55sDaR9dvS7d5WFM2Xy8Eqb44CZyLGmEhgLxAHZLfWXrjKPPuAAkAda+2ia61LgVNERERERG7EshnRrPqiF2VWzqDi0VPk6wSxwYArkB4zixAZUYPaXbpRumoFp0u9LkkFzoCULiaVqOxp118tbHosSzSviIiIiIhIslVrGsVzv46l3r6T7Fmyg3uyfU2O483IdMnSYel2nhkzkpJRFVkYmZ3v7rmf1fOW/fdKU6n0GjiLetrdScyzJ9G8IiIiIiIiXnVLpaL8/MbzHP/iT1Y/vZefWz/Ln0XCuRQIdfafos2k8dzaoDpL82elY7tXWbfzkNMl35D0GjhDPe25JOa5fGJ11sQdxpjnjTHRxpjoI0eOeL04ERERERFJf0qViqDtyG9pvvMQhzfu4fun2zG1eAQXgqD6wbP8GtifFdv3Ol3mDQlyugCHGE97UxewWmuHAEPAfQ2nt4oSEREREREBKFiyIM98PxAYyKF9hxnxaT8yZDrF442rOl3aDUmvgfOMpw1NYp7LfWeSmEdERERERMSn8kaG89wXH/Oc04XchPR6Su0uT1s4iXkKJppXREREREREbkB6DZwrPW15Y0zma8xTLdG8IiIiIiIicgPSZeC01u4FVgAZgAcS9xtjGgCRwEFgccpWJyIiIiIikjaky8Dp0dPTfmKMKXH5RWNMODDI82Mva60rxSsTERERERFJA9LrTYOw1o41xgwGXgTWGmNmAJeAJkAYMBEY4GCJIiIiIiIifi3dBk4Aa207Y8wC4CWgARAIbAK+Awbr6KaIiIiIiMjNS9eBE8BaOxIY6XQdIiIiIiIiaU16voZTREREREREfEiBU0RERERERHxCgVNERERERER8QoFTREREREREfEKBU0RERERERHxCgVNERERERER8QoFTREREREREfEKBU0RERERERHxCgVNERERERER8QoFTREREREREfEKBU0RERERERHxCgVNERERERER8QoFTREREREREfEKBU0RERERERHxCgVNERERERER8wlhrna7BrxljjgC7na7jKnIDR50uIp3S2DtHY+8sjb9zNPbO0dg7R2PvHI29c1Lr2Be21ua5WocCZxpljIm21kY5XUd6pLF3jsbeWRp/52jsnaOxd47G3jkae+f449jrlFoRERERERHxCQVOERERERER8QkFzrRriNMFpGMae+do7J2l8XeOxt45GnvnaOydo7F3jt+Nva7hFBEREREREZ/QEU4RERERERHxCQVOERERERER8QkFTj9gjHnUGDPfGHPKGHPWGBNtjHnJGHPd/3/GmGBjTBNjTB9jzBJjTIwxJs4Ys98YM9YY09CHm+C3vDH2nvW8Yoz5xRiz0RhzzBhzyRhzxBgzwxjzuDHG+Gob/JW3xv4a6/7YGGM9Uydv1JvWeHHfH3bFWF9t2uSrbfBX3t73jTGZjTGdjTHLjDEnjTHnjTE7jTFjjDF1vF2/P/PS+23D/9jnr5wK+XJ7/Ik393tjTKQxpr8xZrMx5oIx5qIxZqsx5itjTDFf1O/PvDz2hYwxg4wxO4wxsZ7POlONMc18Ubu/MsaUNsa0N8aMMMZsMsa4PH8TWidzvT777JSsunQNZ+pmjBkItAMuAjOBS0ATICswAXjAWptwHetpCkz3/HgQWA6cA8oBFTyvf2CtfderG+DHvDX2nnXtA8KBdcB+3GNfGKgBGGAScJ+11uXlzfBL3hz7q6y7GrAY9xduBnjDWvuZN+pOK7y87w8DngIWAtuuMkuMtbabF8pOE7y97xtjigJ/AiWAw8ASIBYoAlQCelhrP/TiJvgtL77flgG6JjFLdaAssB0oafVBzNt/cyoDs4DswD7cn3cAooACwFngNmvtIm9ug7/y8tjXAKYBOYBdwEogAqiG+z23i7W2t5c3wS8ZY/oB7a/S9YC1duxNrtNnn52SzVqrKZVOwP2ABWJwvyldfj0vsMHT1/4619UYGAvUu0rfQ0C8Z32NnN7u1DB5c+w9y9UFQq7yenncXwBY4Bmntzs1TN4e+0Trzgisxx36J3jW1cnpbU5Nkw/2/WGeZZ52ettS++SDsQ/BHfIt0AMITtSfCyjl9HanhsmXf3eu8rvWe9b3ptPbnRomH+z3izzLDLlynweCgaGevtVOb3dqmLz8OTMTsNezzBdA4BV9jXAHfQvUcnq7U8MEtAV6Aw8CxYE5nvFp7fT/pU+21+kB15TEfw5Ee3aQJ6/S1+CKHSvAC7/rW8/6hjq93alhSuGxf8ezvpFOb3dqmHw59sAnnuXv4p8gpMDpw/FHgdPJse/pWeYHp7cttU8p9TcfqOVZVzxQwOntTg2TN8feE3qsZ8p3lf6IK/qzOL3tTk9eHvtHPPNvJ9GXW57+Hp7+KU5vd2qcSH7gTLHPrTcz6RrOVMoYEwlUBeKAMYn7rbVzcR+lyQfU9MKvXOlpI72wLr/mwNjHe9qLXliXX/Pl2HtO9emIO9j/mvxq0x4H9n3x8PbYG2MyAM95fuzlvUrTnhTe79t42t+ttfuTuS6/54OxT+Cf99Sr3RvBetpzwIUbrTct8cHYV/O0c6y1l67SP8PTNjPGhN14xXIt/vDercCZelX2tOuttdf6o7gs0bzJUdLTxnhhXf4uxcbec33V/zw/KgT5aOyNMZmAH4DjXP2aCXHz5b7fyBjT1xgzxBjzgTHmNqdvYpDKeHvsq+I+ZXavtXajMaa2cd8s62tjzPvGmFrJLTgNSZG/+caYLLgvYQH3qZ3i5bH3BJ2Znh/fN8YEX+7z/Pvy9cpDrefQTzrm7f0+1NMevUb/5deD+efeIeIdKZ0ZbliQE79UrktRT7s7iXn2JJr3phhj8gFPe34cl5x1pRE+G3tjzDO4T20Ixn00uTbuL356Wmsn3GCdaZGvxv4joDTwsLX2Wm+G4tu/O09e5bUNxpiHrbVrb3BdaZG3x76ip916xY2brvSuMWYc8EQSH1DSi5R6v30A9807DgO/JWM9aYkvxr4d8DvuI/x3GGOiPa9Xw30zmy+AN26wzrTI22N/2NNe6y7AV75eFPe1tuIdKZYZbpa+XU69Ln9TdC6Jec562qw3+0uMMUHACCAbMFOnGgK+Hfs6uD/4PQrU97z2Du5rG8QHY2+MqQ28Bky01o5ORm3pgS/2/VXAq7hvkBWK+xqqlsBq3HfJnmGMKXDjpaY53h77nJ62Pu6w/xnuO9XmAO7GfXrV/cDAG6407UmR91v+OZ12+DVOOUyPvD721toduL/MnYb7i917PFMB3DdPmafxB7w/9rM87Z2eUzwT+98V/9Yptd6VUn/DbpoCZ+p1+doDX5/y8RXuWybvBR738e/yFz4be2ttW2utAbLg/gDeD3gPWGKMifD27/NDXh17Y0xm4HvgNO5vvSVpXt/3rbX9rLX9rbUbrLXnrLUx1topuB8NsQT344L0WBTvj/3l9/cg3KcPvmGt3W6tPWmtnYz7A7gFntJzCX3/fmuMKcE/XzJ+56vf44e8PvaeLxnX4f6C5W4gN5AH9z6fAxhnjNEj4Lw89tbaWcA8IDPwpzGmsTEmqzGmlDHmG+BO/rm+Vo+A866Uygw3TYEz9TrjaUOTmOdy35kk5rkmY8wXwLO4H8vRxFp78GbWkwb5fOyttRc8H8DfwP1h+1ZgwM2sK43x9th/DJQCXrfW6vrk/+bzff8ya20c7ruoArRIzrrSCG+P/ZXzfJO401objfv5hAFAw+tYX1qWEvv95aObi621G29yHWmRV8feGJMdmIj7KM7t1trJ1tpj1tqj1tpJwO24bxb0jjGmZFLrSgd8sd8/ACzA/ZzZmbi/7N2M+xEg/XE/Egjc91MQ70mx9+6bpWs4U69dnrZwEvMUTDTvdTPG9MF9mtsR3GFz642uIw3b5Wl9MvZX8T3u093uMsYEp/NTfXZ5Wm+N/b24v0l9yhiT+Bq2Mp72RWNMS2CbtbbtddaZVu3ytCm172/ytDql1vtjf+U8O68xz04gCvedC9OzXZ7WV++3gfxzDbNuFvRvuzytt8b+TtxHM2d5Tq39F2vtNmPMX7i/ZGkIpOfPPrs8rdf2e2vtYWNMfaAp7mdv5sZ9beckYAVw0jOrrtv3rl2eNqXeu2+YAmfqdfkxJeWNMZmvcVOHaonmvS7GmN7A68AxoJm1dsPNl5km+Wzsr+Ek7tNMgnBfd3XIC+v0V74Y+wDcN2q6lmKeKft1ri8tS+l9P5enPZvkXOmDt8d+xRX/zoX7y8XEcnva9D7+vt7vb8P9pco5QNeR/5u3x76Qpz2VxDyXQ0/OJOZJD3yy33vu/jvdM/3NE0RDcd+8ZvONlytJSOn37humU2pTKWvtXtwfGDLgPkXhX4wxDXBfDH8QWHy96zXG9MJ9d7YTuMPmaq8UnIb4auyTUB932DzJtW8nni54e+yttUWsteZqE+7HpAC84Xmtkve2xD85sO8/6GmXJTlXOuCDfX8/8JfnxyZXWV8OoIrnx+jE/elJCuz3z3ra0dba9B7u/8UHY3/A01a98pEoV6wvGPcjg+DaR/7TBQf+3nf1tAP1SBrvcuD/8sZZazWl0glojfsC4BigxBWvh+M+D94C7RMt0xP3aWo9r7K+DzzLnACqOr19qXny5tgD9YDHgIxX+T11gO2e9X3m9Hanhsnb+30Sv2eYZ12dnN7m1DR5ed+vhPuOtIGJXg/CfZZFgmd9tzm93alh8sHf/Ls8yxwCKl3xeibgZ09fNGCc3nanJ1/93cF9FDnWs3xtp7czNU5e/psTjvtIssV9X4SMV/RlBAZ7+o4D2ZzedqcnH/zNqQhkSfRaZtzXb1rcdy3P4PR2p8YJmOMZo9ZJzJPU2N/w/2WKbp/TA6zpP/6DYJBnJ7kA/AqMx32qiAUmXOWD3DBP37BEr7fyvG5xH00Ydo2pq9PbnFomL4790/wT9Gfyf+3dbYxdRRnA8f+TKqRFyyIWgkbKS1otRqG1QDGWoGkwGklKg6YmBMoXTRAT+WDFD5KYJqZBbCIkavyANIA1IViEDxiDQtW0Ba0opVRpMJC0yktfTFsLNaWPH2aue3v33r3b9Z7usv3/kpNJz5yZM3O6uXefnTkz8ADwSNsHQFL2ZJs+0X2eLMegnn2fe7TKGHA29PwZXgl1D+Wvqg9S9sfbVc+/Bayc6P5OpmPQP/vAd2v+YcoKkuvbnv9OYM5E93myHE187gC31mu2T3T/JvMxyGdP2XrsSM3fVb9vH6WMfibwJrB0ovs8WY4BP/t7KVP0NwDran176/XPAudMdH8ny0GZYbK57dhfn9ML7efH+uzH8395Ig/f4ZzkMvPmiPg98BXKe2jTKH/duAf4YWaOdWnp9ncVFtajmw3A6nE2d0oZ4LPfQBldXkxZMfXjlCWsXwEeAu7PzIcH3Py3tQE+e43DAJ//XyibrF9GWcxgPsOBzk8oU6u2DLj5b2uD/tnPzK9HxEbgq5TnP4PyDtUaYHVmdnu386TU0OfOTTV1K5RRDPLZZ+baiNhK2X95MXB1zdpFWbRpTbp2xf8M+Of+YcqiTRcDi4BDwHbKjIofZVmdXMVM4PIu58e9evJk/t0pakQsSZIkSdJAuWiQJEmSJKkRBpySJEmSpEYYcEqSJEmSGmHAKUmSJElqhAGnJEmSJKkRBpySJEmSpEYYcEqSJEmSGmHAKUmSJElqhAGnJEkTJCIWRcTRiFh9nOVmRMQ/I+IPERFjLPP9iMiIuHJ8rZUk6fhFZk50GyRJOunUQPEpYC5wfmbu63LNLOA1YGdmfqAj7xbgbmBFZq4dw/1eBqYD52TmWwPogiRJfTnCKUnSxPgicClwV7dgs7qippu75P0YeAX4TkScMtqNIuJS4FzgFwabkqQTyYBTkqSJ8TUggXtGuaZnwJmZ/wHuB94HfL7PvZbVdP1xtlGSpP+LAackSaOIiGkRcSgijkTE9IhYEREbI+JARLweEfdFxHvrtdMj4psRsbWW+XtE3B4R7+io81LK6OaGzHypyz1viogEbqun7qzvX7aOhfV8ayrtzX26cS2wH3i8yX5JktTJLwpJkkY3j/Lu4w7gp8AS4ElK8PZp4HpgVkR8CfgVcDrwO+BV4FPAt4F/A99rq3NpTR+nu4OUYPJ6YBpwH3C0LX8bQGY+FxGvAldExKzMfL2zooi4CPggsK6OijbZL0mSjuEIpyRJo1tQ0znAacB5mXlNZl4LXEWZFns18BvgMWB2Zn4hM5cwPPK4vKPOq2q6qdsNM/NByujmNMqCQTdk5oq24422yzcBAXyyR/t7Tadtol+SJB3DgFOSpNG1ArMXgesyc08rIzOfpizcE8C2zLy1YxTxkZq+v6POS2q6fZT7fqymW/q07/mazu+Rvwx4kxI0tmuiX0TEnIj4ZUQcrFNz746IGX36IEmaopxSK0nS6FqB2R2Zub9L/rtq+q0ueafX9LXWiYg4DWgFYHtGlBh5334B596ant2ZERHnUQLRRzPzYI/6B9Kver8h4AngZeA64CxgDTALR0Ml6aRkwClJUg91r8yL6z9/3iX/QuDdwIuZ+WyXKj5a0/a8VrB2uGPUsFMrIPxTn2a2gsWhLnmt6bTHtL2hfgF8GTgDuCQzd9e6jgAPRMSqzNzWpy+SpCnGKbWSJPU2B5hJCbx2d8lvrRb7VI/y3abF/qump0bEqaPce6wjnDNr2m0vz2XAEYanwLY00S+AzwK/7qjzIeAw8JkedUmSpjADTkmSeusX9LUCrz+OtXxmHqKs7grwnm6FIuJM4FzgH5n5Sp82nlnTzumtZ1P28fxtZu7tKDPwflXzGH6nFIDMPEx5T/RDPeqSJE1hBpySJPXWCqx6BV79FvZZQNnO5M8d51vTZC/qUa41ZXVrvwa21dE59XYp5Xt+xJRZmuvXGQyP4LbbR4/gWpI0tRlwSpLUW7/AbAFl+5BnOjMi4gJKAPa3Lgv2PFHTK3rUe0pNTxtDGxfVNjzZcX5ZPf9wlzJN9YtabkSxHuclSVOcAackSb3NpwRKI0b66sI6Q8ALmXmgS9nRpq22gsAlPe67BTgAfCIiNkbE2oi4NyIWtl8UER+hrE67KTNfbzs/RNmX8+nM3HUC+7WPEox2GqL7O6aSpCnOgFOSpC4iYjZlGuiOHtuG9Jt22sofscpsZj4DbAaurFuXdObvBj4HbKC8+3gDcCPD73623FjTH3ScvwZ4J91XoG2sX5R9Red13O9U4ELgrz3qkyRNYZHpDBdJkk60iFgOrANWZebt4yh/CmW/y6PA+e1brETEeso7nHMzc8eAmjyWNn2Dsm/n7MzcU8+1+vnhzHx+tPKSpKnHgFOSpAlQ98LcDMwFLsjM45pyGhG3AHcDKzJzbUfeSuBoZt45qPaOsU1DwHPAS8Aq4CxgDWWrlOUnsi2SpMnBgFOSpAkSEZcDm4A7MvO24yg3g7LVyE7gspxEX+YRMRe4C1gMvAH8DFhZt4ORJJ1kDDglSZIkSY1w0SBJkiRJUiMMOCVJkiRJjTDglCRJkiQ1woBTkiRJktQIA05JkiRJUiMMOCVJkiRJjTDglCRJkiQ1woBTkiRJktQIA05JkiRJUiP+C/dERT4zEdLqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y0 = 0;\n",
"v0 = 0;\n",
"m0 = 0.25;\n",
"mf = 0.05;\n",
"u = 250;\n",
"dmdt = 0.05;\n",
"T = (m0 - mf)/dmdt;\n",
"#Euler Integration\n",
"N1 = 50\n",
"dt1e = T/N\n",
"t1e = np.linspace(0,T,N1)\n",
"num_sol_exp_1 = np.zeros([N1,3])\n",
"num_sol_exp_1[0,0] = y0\n",
"num_sol_exp_1[0,1] = v0\n",
"num_sol_exp_1[0,2] = m0\n",
"for i in range(N1-1):\n",
" num_sol_exp_1[i+1] = eulerstep(num_sol_exp_1[i], simplerocket, dt1e)\n",
"#Heun method\n",
"N2 = 50\n",
"dt1h = T/N2\n",
"t1h = np.linspace(0,T,N2)\n",
"num_sol_imp_1 = np.zeros([N2,3])\n",
"num_sol_imp_1[0,0] = y0\n",
"num_sol_imp_1[0,1] = v0\n",
"num_sol_imp_1[0,2] = m0\n",
"for i in range(N2-1):\n",
" num_sol_imp_1[i+1] = heun_step(num_sol_imp_1[i], simplerocket, dt1h)\n",
"#Tsiolkovsky eqn\n",
"N3 = 50\n",
"dtT = T/N3\n",
"tT = np.linspace(0,T,N3)\n",
"m = np.linspace(m0,mf)\n",
"v = -u*np.log(m/m0)\n",
"\n",
"fig = plt.figure(figsize=(15,10))\n",
"plt.plot(num_sol_exp_1[:,2]/m0,num_sol_exp_1[:,1],linewidth=2, color='b', linestyle='-', label='Euler Integration')\n",
"plt.plot(num_sol_imp_1[:,2]/m0,num_sol_imp_1[:,1],linewidth=2, color='g', linestyle='-', label='Heun')\n",
"plt.plot(m/m0,v,linewidth=2, color='r', linestyle='--', label='Tsiolkovsky')\n",
"plt.xlabel('$m(t)/m_0$')\n",
"plt.ylabel('v(t) (m/s)')\n",
"plt.legend()\n",
"plt.title('Simple Rocket Motion\\n');"
]
},
{
"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": 188,
"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",
" g = 9.81\n",
" dstate = np.zeros(np.shape(state))\n",
" dstate[0] = state[1]\n",
" dstate[1] = (u/state[2])*dmdt - g - (c/state[2])*state[1]**2\n",
" dstate[2] = -dmdt\n",
" return dstate"
]
},
{
"cell_type": "code",
"execution_count": 194,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The height of the simple rocket when the mass reaches 0.05 kg is 566.4039857467229 m according to the implicit method and 543.8761054042305 m according to the explicit method.\n",
"The height of the rocket when the mass reaches 0.05 kg is 407.41495010571833 m according to the implicit method and 396.6286464909176 m according to the explicit method.\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"y0 = 0;\n",
"v0 = 0;\n",
"m0 = 0.25;\n",
"mf = 0.05;\n",
"u = 250;\n",
"dmdt = 0.05;\n",
"T = (m0 - mf)/dmdt;\n",
"#Euler Integration\n",
"N1 = 50\n",
"dt2e = T/N\n",
"t2e = np.linspace(0,T,N1)\n",
"num_sol_exp_2 = np.zeros([N1,3])\n",
"num_sol_exp_2[0,0] = y0\n",
"num_sol_exp_2[0,1] = v0\n",
"num_sol_exp_2[0,2] = m0\n",
"for i in range(N1-1):\n",
" num_sol_exp_2[i+1] = eulerstep(num_sol_exp_2[i], rocket, dt2e)\n",
"#Heun method\n",
"N2 = 50\n",
"dt2h = T/N2\n",
"t2h = np.linspace(0,T,N2)\n",
"num_sol_imp_2 = np.zeros([N2,3])\n",
"num_sol_imp_2[0,0] = y0\n",
"num_sol_imp_2[0,1] = v0\n",
"num_sol_imp_2[0,2] = m0\n",
"for i in range(N2-1):\n",
" num_sol_imp_2[i+1] = heun_step(num_sol_imp_2[i], rocket, dt2h)\n",
"\n",
"fig = plt.figure(figsize=(15,10))\n",
"plt.plot(num_sol_exp_2[:,2]/m0,num_sol_exp_2[:,1],linewidth=2, color='b', linestyle='-', label='Euler Integration')\n",
"plt.plot(num_sol_imp_2[:,2]/m0,num_sol_imp_2[:,1],linewidth=2, color='g', linestyle='-', label='Heun')\n",
"plt.plot(m/m0,v,linewidth=2, color='r', linestyle='--', label='Tsiolkovsky')\n",
"plt.xlabel('$m(t)/m_0$')\n",
"plt.ylabel('v(t) (m/s)')\n",
"plt.legend()\n",
"plt.title('Rocket Motion\\n');\n",
"\n",
"fig = plt.figure(figsize=(15,10))\n",
"plt.plot(t1e,num_sol_exp_1[:,0],linewidth=2, color='b', linestyle='-', label='Simple Rocket (exp)')\n",
"plt.plot(t2e,num_sol_exp_2[:,0],linewidth=2, color='g', linestyle='-', label='Rocket (exp)')\n",
"plt.plot(t1h,num_sol_imp_1[:,0],linewidth=2, color='b', linestyle=':', label='Simple Rocket (imp)')\n",
"plt.plot(t2h,num_sol_imp_2[:,0],linewidth=2, color='g', linestyle=':', label='Rocket (imp)')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('y(t) (m)')\n",
"plt.legend()\n",
"plt.title('Altitude vs. mass');\n",
"\n",
"print('The height of the simple rocket when the mass reaches 0.05 kg is',num_sol_imp_1[N-1,0],'m according to the implicit method and',num_sol_exp_1[N-1,0],'m according to the explicit method.')\n",
"print('The height of the rocket when the mass reaches 0.05 kg is',num_sol_imp_2[N-1,0],'m according to the implicit method and',num_sol_exp_2[N-1,0],'m according to the explicit method.')"
]
},
{
"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": 334,
"metadata": {},
"outputs": [],
"source": [
"def f_m(dmdt,m0=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_desired = 300\n",
" mf = 0.05\n",
" T = (m0 - mf)/dmdt\n",
" N = 50\n",
" dt = T/N\n",
" t = np.linspace(0,T,N)\n",
" num_sol = np.zeros([N,3])\n",
" num_sol[0,0] = y0\n",
" num_sol[0,1] = v0\n",
" num_sol[0,2] = m0\n",
" for i in range(N-1):\n",
" num_sol[i+1] = heun_step(num_sol[i], rocket, dt)\n",
" height_predicted = num_sol[N-1,0]\n",
" error = height_predicted - height_desired\n",
" return error"
]
},
{
"cell_type": "code",
"execution_count": 335,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"number of brackets: 1\n",
"\n",
"[[0.06060606]\n",
" [0.05707071]]\n"
]
}
],
"source": [
"def incsearch(func,xmin,xmax,ns=50):\n",
" '''incsearch: incremental search root locator\n",
" xb = incsearch(func,xmin,xmax,ns):\n",
" finds brackets of x that contain sign changes\n",
" of a function on an interval\n",
" arguments:\n",
" ---------\n",
" func = name of function\n",
" xmin, xmax = endpoints of interval\n",
" ns = number of subintervals (default = 50)\n",
" returns:\n",
" ---------\n",
" xb(k,1) is the lower bound of the kth sign change\n",
" xb(k,2) is the upper bound of the kth sign change\n",
" If no brackets found, xb = [].'''\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",
"\n",
" \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",
"mn=0.05\n",
"mx=0.4\n",
"xb = incsearch(lambda dmdt: f_m(dmdt,m0=0.25, c=0.18e-3, u=250),mn,mx,ns=100)\n",
"print(xb)"
]
},
{
"cell_type": "code",
"execution_count": 369,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The mass flow rate is 0.05759008150405631 kg/s.\n",
"The solve took 13 iterations.\n"
]
}
],
"source": [
"def mod_secant(func,dx,x0,es=0.0001,maxit=50):\n",
" '''mod_secant: Modified secant root location zeroes\n",
" root,[fx,ea,iter]=mod_secant(func,dfunc,xr,es,maxit,p1,p2,...):\n",
" uses modified secant method to find the root of func\n",
" arguments:\n",
" ----------\n",
" func = name of function\n",
" dx = perturbation fraction\n",
" xr = initial guess\n",
" es = desired relative error (default = 0.0001 )\n",
" maxit = maximum allowable iterations (default = 50)\n",
" p1,p2,... = additional parameters used by function\n",
" returns:\n",
" --------\n",
" root = real root\n",
" fx = func evaluated at root\n",
" ea = approximate relative error ( )\n",
" iter = number of iterations'''\n",
"\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]\n",
"\n",
"dmdt1,out = mod_secant(f_m,0.01,mn,es=0.000001)\n",
"print('The mass flow rate is',dmdt1,'kg/s.')\n",
"print('The solve took',out[2],'iterations.')"
]
},
{
"cell_type": "code",
"execution_count": 367,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def rocket2(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",
" g = 9.81\n",
" dstate = np.zeros(np.shape(state))\n",
" dstate[0] = state[1]\n",
" dstate[1] = (u/state[2])*dmdt - g - (c/state[2])*state[1]**2\n",
" dstate[2] = -dmdt\n",
" return dstate\n",
"t = np.linspace(0,(m0-mf)/dmdt1,N)\n",
"dt = (m0 - mf)/(dmdt1*N)\n",
"num_sol_3c_exp = np.zeros([N,3])\n",
"num_sol_3c_exp[0,0] = y0\n",
"num_sol_3c_exp[0,1] = v0\n",
"num_sol_3c_exp[0,2] = m0\n",
"for i in range(N-1):\n",
" num_sol_3c_exp[i+1] = eulerstep(num_sol_3c_exp[i], rocket2, dt)\n",
"num_sol_3c_imp = np.zeros([N,3])\n",
"num_sol_3c_imp[0,0] = y0\n",
"num_sol_3c_imp[0,1] = v0\n",
"num_sol_3c_imp[0,2] = m0\n",
"for i in range(N-1):\n",
" num_sol_3c_imp[i+1] = heun_step(num_sol_3c_imp[i], rocket2, dt)\n",
"\n",
"\n",
"fig = plt.figure(figsize=(15,10))\n",
"plt.plot(t,num_sol_3c_imp[:,0],linewidth=2, color='g', linestyle='-', label='Rocket (Implicit)')\n",
"plt.plot((m0-mf)/dmdt1,num_sol_3c_imp[N-1,0],'*',color='g',label='Detonation (Implicit)')\n",
"plt.xlabel('time (s)')\n",
"plt.ylabel('y(t) (m)')\n",
"plt.legend()\n",
"plt.title('Altitude 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>"
]
}
],
"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
}