919 lines
615 KiB
Plaintext
919 lines
615 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2-Port Network: 'BFU520_05V0_003mA_NF_SP', 0.4-2.0 GHz, 1001 pts, z0=[50.+0.j 50.+0.j]"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"import numpy as np\n",
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"\n",
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"import skrf\n",
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"import skrf.media as media\n",
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"import skrf.frequency as freq\n",
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"import skrf.network as net\n",
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"import skrf.util\n",
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"\n",
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"import matplotlib.pyplot as plt\n",
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"%matplotlib inline\n",
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"plt.rcParams['figure.figsize'] = [10, 10]\n",
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"\n",
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"f = freq.Frequency(0.4, 2, 1001)\n",
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"tem = media.DistributedCircuit(f, z0=50)\n",
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"\n",
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"bjt = net.Network('BFU520_Spar_NF_400MHz-2GHz/BFU520_05V0_003mA_NF_SP.s2p').interpolate(f)\n",
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"\n",
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"bjt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bjt.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(2.4087748915771234, (0.8163269481036434+2.8250725890510995j))"
|
|
]
|
|
},
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# calculate the stability circles for the source and load impedances\n",
|
|
"\n",
|
|
"idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n",
|
|
"\n",
|
|
"sqabs = lambda x: np.square(np.absolute(x))\n",
|
|
"\n",
|
|
"delta = bjt.s11.s*bjt.s22.s - bjt.s12.s*bjt.s21.s\n",
|
|
"rl = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s22.s) - sqabs(delta)))\n",
|
|
"cl = np.conj(bjt.s22.s - delta*np.conj(bjt.s11.s))/(sqabs(bjt.s22.s) - sqabs(delta))\n",
|
|
"\n",
|
|
"rl_900mhz = rl[idx_900mhz][0, 0]\n",
|
|
"cl_900mhz = cl[idx_900mhz][0, 0]\n",
|
|
"\n",
|
|
"rl_900mhz, cl_900mhz"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def calc_circle(c, r):\n",
|
|
" theta = np.linspace(0, 2*np.pi, 1000)\n",
|
|
" return c + r*np.exp(1.0j*theta)\n",
|
|
"\n",
|
|
"def plot_smith(pts):\n",
|
|
" n = net.Network(s=pts)\n",
|
|
" n.plot_s_smith()\n",
|
|
" \n",
|
|
"cl_points = calc_circle(cl_900mhz, rl_900mhz)\n",
|
|
"plot_smith(cl_points)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(3.2273035636098206, (-2.6077959539714635+2.662169442645758j))"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"rs = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s11.s) - sqabs(delta)))\n",
|
|
"cs = np.conj(bjt.s11.s - delta*np.conj(bjt.s22.s))/(sqabs(bjt.s11.s) - sqabs(delta))\n",
|
|
"\n",
|
|
"rs_900mhz = rs[idx_900mhz][0, 0]\n",
|
|
"cs_900mhz = cs[idx_900mhz][0, 0]\n",
|
|
"\n",
|
|
"rs_900mhz, cs_900mhz"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cs_points = calc_circle(cs_900mhz, rs_900mhz)\n",
|
|
"plot_smith(cs_points)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's plot all of them\n",
|
|
"# output stability first\n",
|
|
"\n",
|
|
"for i, f in enumerate(bjt.f):\n",
|
|
" # decimate it a little\n",
|
|
" if i % 100 != 0:\n",
|
|
" continue\n",
|
|
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cl[i][0, 0], rl[i][0, 0]))\n",
|
|
" n.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# input stability\n",
|
|
"for i, f in enumerate(bjt.f):\n",
|
|
" if i % 100 != 0:\n",
|
|
" continue\n",
|
|
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cs[i][0, 0], rs[i][0, 0]))\n",
|
|
" n.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"18.162936250002936"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# so not very useful, because the transistor isn't unconditionally stable\n",
|
|
"# time to draw the circles of constant gain and try to find a useful point\n",
|
|
"\n",
|
|
"K = (1 - sqabs(bjt.s11.s) - sqabs(bjt.s22.s) - sqabs(delta))/(2*np.absolute((bjt.s12.s)*(bjt.s21.s)))\n",
|
|
"G_msg = np.absolute(bjt.s21.s)/np.absolute(bjt.s12.s)\n",
|
|
"10*np.log10(G_msg[idx_900mhz, 0, 0])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"the optimum source reflection coefficient is (0.22496922154681992+0.25679818766727663j)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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j7MmTJ0hOTkaPHj3g4eEBOzs7MMRilO/eg4qDB8HS14PmqtU4kZGO9957D9HR0RgyZAgGDx7caGEqMjJSdgrl3r17u+RQvi7gf89wy8rK4O3tDQ0NDURHR7c5hxOLxThy5Aisra0xfPjwDpX5spe1tLTEmDFjOjxvJJEIZbt3o2LffigbG8Nkw3qw3d0b6fro0SPExcWhpqYGbm5ucHV1haamplzyhwwZgtGjRzeaMrzNSCQSPHnyBHFxcSgvL4erqyvc3NygnJ+P4u++h+DJE/BGjoDz1q2o5fEQEhICoVCIDz74oFHvW1RUBC8vL9ja2uLSpUtv1JVVTv63DLe4uBjvvfcezMzMEB4eLveWAIfDwcGDBzFu3Dj0799f7vIU2cuKy8tR+OX/AzcuDjrTpsHw22/AemGQ9fX1iImJQVJSEgwNDeHh4QEbG5t2b3n89ttvOH/+POLi4jqs55uirKwMsbGxSE1NhYWFBaz79kXxxo2wTE2Dav/+MA3YDBULC8TFxSEyMrJJ78vlcuHk5AQTExOEhoa2K9DhDfC/Y7j5+fkYMmQI+vfv3yEPocLCQpw8eRLz58+HoaFhm/fn5eUhKCio070s0DA0LvziS0hqa2H883+h82I+LhAIEBMTgwcPHsDBwQGenp7o0aNHh8spLCxEv379UFpa2uG595tGKBQiOTkZN27cgL6+PiYZGYG3fgNIIoHplgBoDh2K6upqWe87ffp02WIXn8+Hs7MzdHR0EBYW9jZvF8lluO/0TjXQYLSenp5wcXHpsFufqakpxo0bh8DAQHC53FbvjY+Px5kzZzBhwgRMmTKlU0Zbc+kSns3/GAw1NVicDoTOlCkQi8W4d+8eduzYgaqqKixatAgTJkzolNECDXW0sLDAqVOnOiXnTaKiogIzMzOoqalh4MCBOP30KTKWLgHT2Bj5i5eg8tgx6OjoYN68eXBwcMChQ4eQm5sLAFBTU0NKSgq4XC6GDx8ODofzZivTSd7pHre4uBgeHh5wc3PDxYsXOy0vLCwMBQUFmDt3bhNXSIlEguvXryM7OxuzZs3qlCERESr2H0DZli1ge3qi9/ZtYGhpITU1FRERETAwMMCoUaPk6v3bw4oVK5Cenv5WbAt1lMuXL0NLSwvDhw+HQCBAdHQ0EqKjMSI5GeyUVOjNngXD778Hg8lEdnY2goKCMHz4cFkgvlgshouLC9hsNiIiIt7GYfM/e6hcWloKT09P2NraIjQ0VCEypVIpzp07ByaTienTp8tWmrlcLs6dOwcWi4Xp06d3qpclqRTP165F1clT0J48Gcbr1qKkvBwhISFQUVHBqFGjYG5urpD6vM6DBw8wevRoVFVVNfHequZXI70qHYV1hSjgFKC4vhi1wlrUCetQL6qHFFIoMZTAZDDBVmZDX00feqp6MNQwhIW2BSy0LWCmbQYVVtet3AoEAmzduhWff/55o6FuXV0d7kRFQXzkCKxS06A9cSJM1v8GhrIyKisrERgYCDMzM4wfPx4sFgtCoRBOTk4wNDTE9evX37YFq3+u4VZWVsLLywumpqaIiIhQqGyxWIwTJ07A0NAQ48aNQ1lZGQIDA9G/f3+MGjWqU36wJJWi+IcfUHM+CPoL/gX9L77A7Tt3kJiYiLFjx8LBwaHL9xuNjY2xf/9+DBg6ADHFMYgticWjikcori+W3cNisGDANoCuqi40VTShoaQBFpMFiVQCMYnBFXFRya9ElaAKNYIa2feUmEqw17fHQIOBcDVwhZexFzRV5Fv1locHDx7g2bNn+PDDD5u9XlFRgbhvv4NZVBRUBg9G3z27wVRTg0AgQFBQEAQCAT788ENoaGiAz+fDwcEBffv2xZUrV96mraJ/puGKRCIMGzYMEokE9+7d6xKHcj6fj8OHD8PIyAhZWVkYO3YsnJycOiWTJBIUf/c9aoKD0fPzzyGcPg0XL15Ejx49MHHiRLm3dTpcPhGSy5LxxZ4vwDHiQKTWkMXPVNMUTj2d0L9Hf9jp28Fc2xwGbAMoMVuPmqqrq0NNTQ3KasqQVZGFnJoc5NTlIFeYiyJpESQMCZjEhInUBJZkCVuyhRZLS5bX9/XD63R1ddsMSNi3bx/GjBmDvn37tlrPxPXroXb0GMROTnA4fgxMVVVIpVJEREQgLS0Nfn5+MDQ0BJfLhZ2dHUaPHo1Dhw69LU4a/0zDXbx4Ma5du4asrKwubSXv3r2LW7duwdvbu9MBCUSEkp/+D9VnzkB/2edIs7f/23rZCl4FzmeeR1BmEArrCqEEJXBSOFi7cC28e3ujt1bvNmVwOJxG/sbFxcWQSCTQ1dVtZIAv/2WpsJBZl4nYyljcL7uPvPo8sBgsuOu7Y5jeMFizrFFfV9/o9Miqqipoa2s3CkgwNjaWGXN1dTUOHDiAVatWydVYF/z+Ozj+G1FhY4P+Bw+gx4vQwNTUVISGhmLmzJkwNzdHUVERBgwYgF9++QXLly/v3MNWDP88w927dy++/vprpKSkwMzMrMvKuX//PmJiYjB58mQEBwdj0qRJncqwV7Z9B8p374ba3Lm4pq/XsJUxaVKX9rLZ1dk4lHYI13KuQSQVwcvYC1P6TcHIPiPhZOeENWvWYPHixc1+VyAQyPyes7OzIZVKmxiUjo6O3A1OVlUWQp6G4FL2JZTzymGubY759vMxpd8UqCk1zC+lUinKysqaHDOro6MDKysrSKVS8Pl8TJ06Ve5nUH7kCMrWb0C+lRV0f/geHoMGgcFgIDs7G+fPn8f06dNhaWmJ8PBwTJ48GZcvX34bfJv/WYZ7+/ZtjB8/HsHBwV16YsXdu3cRHx+P+fPnQ1dXV7bH6+fn16F0kVWnTqHkvz8Do0fhspkZxrwYdndVL5tbk4u9KXtxNfsq1JTU4GvlCz87P1jq/BUp8/PPPyMoKAhJSUmyz2pqamSH0+Xn56NPnz6wtbWFlZUVdHV1FaKvWCpGWF4YjqQdwcOKh+il3gtLnZdiqtXUZofmUqkUJSUlyMjIQExMDADAzs4ONjY2rbp4vkrZrl0o37ETuV5eEE71xcSJE6GkpIRnz57hzJkz8PX1hbW1NTZv3oyff/4ZiYmJbzqq6J9juM+ePcPAgQOxZs0a2Wn3XcHdu3eRmJiI+fPnN3JSyMrKQnBwMObPn9/iaQzNUR8djbyFiyAYMACRXp6YOWsWTExMukJ11IvqsSdpD/54/AeUWcrws/PDpwM+hZ6aXpN7a2trYWJigvDwcLDZbMTFxaG0tBTW1tawtbVFv3795DKKjkJEiC2Jxc6knUgsTURfnb5Y7b4aw3oPa/Z+gUCAgIAALFy4ELm5ucjIyEBeXh5sbW3h4eGB3r17t9iwEBGKv/kWNcHByJsxHQV9++Kjjz6CpqYmCgoKcOrUKZnxzpw5EwkJCUhMTHyTDhr/DMOtr6+Hi4sLHBwcEBQU1GXl3Lt3Dw8ePMAnn3zSrGdRamoqbt68ifnz58t11IwwPx85Mz4EV1UVybNmYca8uV02NL6RewMbHmxAGa8M06ynYbnLcvRUb1nHmpoazJw5EzweDwsWLICHhwdsbW3/lgTYr0JECM8Px9b4rcitzcU4i3FYM2hNE92zsrJw9+5dfPzxx7LPeDwekpKSEBcXB2VlZbi7u8PJyanZdQ8SCpG3YCF4SUmoWL0aDyor8NFHH8HExERmvNOnT4eFhQUGDhyI3r1748qVK2/qJI13P7G1RCKhSZMmUf/+/UkikXRZObGxsbRlyxaqqqpq9b6EhATavHkzlZeXt3qfhMuljAkTKdlpIF05dKjLcuXWCGpoze015HDEgWZemkkppSmt3p+fn0+nTp2i9evX0+7du0lDQ+ONJd1+FaFYSHuS9pDLMRcacnIIheaENroeFRVF169fb/a7UqmUsrKyKDAwkNavX09Xr15ttk6iykrKGDmSMn1G0aMHD8jf359SU1OJiCg3N5f8/f0pNzeXOBwOGRgY0Lfffqv4isrHu58f95dffqFevXp16cv18OFD2rx5M1VUVMh1f1xcHAUEBLR6f8aq1fTQ1o5i9+/vsvyvSaVJNPrsaBp4dCDtSdpDIknLjUNpaSkFBgZSQEAAPXjwgAQCAREROTk50S+//NIl+nWEp9VPadblWeRwxIF+jv6ZeCIeEREFBgbKjKw1qqur6fr167Rhwwa6ceMGcbncRte5SUn0yMGR8pYspaLCQtq6dassR+/Tp0/J39+fSkpKKC0tjTQ1NenChQtdUs82eLcNNzk5mdTV1enevXtdVkZRURH5+/tTUVFRu773soeurKxsci3rxAl6ZGtHj7/5RlFqNuFc+jlyPuZM486No9Syll/o6upqunjxIvn7+9Off/7ZJIXl7t27qW/fvl2mZ0cQSoS0OXYzORxxoBkhM6i4rpi2bNkid8NKRFRTU0MhISHk7+9Pd+7caVTviqPH6JGtHVUcO051dXW0b98+unr1KkmlUkpJSaGtW7dSfX097du3j3R0dKi0tLQrqtka767hCoVCsrW1pU8//bTLyuBwOLRlyxZKS0vr0PcfPHjQpOfNuHePkpwG0uOJk0j6oldTJGKJmNbdW0cORxzosxufUTW/utn7BAIB3bhxgzZs2EBhYWHE4/GavU8oFJKenh5dvXpV4bp2lqj8KPL8w5NGBI6g1RtXd2jkUlZWRmfOnKHNmzdTQkICSaVSkkql9Oyzz+jxQGcS5OQQj8ejgwcPUkhICEmlUrp58yYdPnyYxGIxeXp6kq+vbxfUrlXeXcP96aefqHfv3l02rxWLxXTo0CG6detWp+S8HDaXl5dTRkYG3Ro7lh45OBL/abaCNP0LoVhIqyNXk8MRB9rwYAOJJeJm78vJyaFt27ZRUFAQ1dbWtin3yy+/JBcXF0WrqxAyKjPIJ9CHnA87058Ff3ZYTkFBAe3fv5+OHz9O1dXVJCx5Tk88BlGO3yySisXE5/Pp8OHDdOHCBRKLxfTHH3/Q5cuXqaKigrS1tf/uJObvpuG+HCI/ePCgS+RLpVK6ePEinTp1SiHzz4SEBNqwYQMdWbqUHtnaUdnefQrQsjF8MZ+W3FxCDkcc6FDqoWbvEQgEdOXKFdq8eTOlp6fLLbuuro709PT+7pdTbqKTo8nnqA+5HHOhqPyoDsuRSCR0+/Zt8vf3p7i4OKoKDpYNmYkant/vv/9Oly5dIh6PRzt37qTY2Fjau3fv3z1klssW36p4XJFIhJkzZ8LPz6/L8qHGxsaisLAQU6dOVYhTgb6+Phh8Phzv3QfT0hI9/vWpArT8C5FUhNWRq/Fn4Z/4afBP+JfDv5rck5ubi71790IoFGLp0qWwsbGRW76GhgZWrlyJr7/+GlKpVJGqKwRloTI+0/kMVrpW+CLiC9wuuN0hOUwmE0OHDsXHH3+M+Ph4XK6theqgQSjbvh3iigqoqKhg9uzZKCkpQWRkJPz8/BAZGYmxY8fCzs4On332mYJr1jneKsNdt24d6uvrcfDgwS6Rn52djdu3b8PPz08hDgZlZWU4c+YMPpBIoM7l4vYAe2S9CNxWBFKS4vs/v0dkQSS+8/wOM2xmNLpORLh16xaCgoIwduxY+Pr6dugo2DVr1oDL5WLfvn3N3yARAfUVQGUOUPUM4JQAwvqOVKndcDgcGOoY4uDYg7DRs8GqyFVIKUvpsDwDAwMsXLgQ5hYWCO3TB1IeD6WbAwAAqqqqmDt3Lp49e4aHDx9i2rRpOHfuHE6ePInw8HCcP39eUdXqNG+NA0ZKSgq8vLwQFRXVJb0tl8vFnj17MG3atFajS+SFx+PhwIEDGGY/AGqrVkHr/fdBX36BwMBAvP/++xg4cGCny9iWsA0HUw9ihcsKLHJa1Ojay1A1Pp+PmTNnNjndv73s2bMHa9euRW7yHSgXxgL594CydKAiC6h73vyX1HQB3T6AoQNg4gqYeQJGToAC3TkvXboEY2NjuLu7o5xXjnlX56FeVI/jE47DXLtzccuFhYVIWrkSlskpMD97BmxHRwANjcWBAwcwYcIEVFVV4dGjRxCJRPj666+RmZnZ1QnG3h3PKYlEAgcHBwwePBi///57VxSB8+fPQ1NTUyE5g6RSKU6cOAEjIyM43LqF2muh6HftKpRNTVFWVoY//vgDHh4ewFm9AAAgAElEQVQeGDJkSIeH49dyruGr219huvV0/DT4p0ZymgsO7xSV2ZCmnEXGhQ2w05M0fKaqDRgOAHr0A3TNATUdQFWrIYm1mA/wa4CaAqD6GVCcAtSXNnxPywSwHQc4zwFM3TptxBcuXIClpaWsIXxW+wzzrs6DnpoeTk08BbZy506wqCkpwbPx48Hv3RsuQUGybBOvnkMWGhoKa2trrFy5Eqampl3d8747hnv8+HGsWrUKJSUlXeJm9vjxY4SFhWHJkiUdSgPyOteuXUNlZSWmDRqE3CkfoMeCf8Fg9WrZ9draWpw4cQL9+vXDmDFj2m28GVUZmHNlDux72OPgmINQZv2lc3PHsXQIIiD3DhCzG8gIBUAoZ1thS+hTfH/wOtQt3AGmnA0CUYMR59wG0q8CT8MBERcwdAQGfw44zgRYbWdF5PF4ePr0KXJyclBUVASBQIDHjx9DT08PJiYmYLPZMDc3R51+HX5M/RFjzcdiw7ANnV6rKDt4COWbNiF55ocYv2qVLMl2SkoKIiMjMWPGDPzxxx/w9fWFi4sLIiIiumwNBu+K4QoEApiZmeGHH37oknjIl0PkDz/8UCGhgAkJCYiOjsbChQtR8eOP4NwMg1X4LSjpNXbm5/F4OHXqFHR1dfHBBx/I3SsKJAL4XfZDFb8K56aca+S3m5iYiFu3bmHGjBmwsLDoeCWKkoCbPwI5UQC7J+D+L8DtE0DHFK6urhg+fDi2bNnScfn8WiD1LBD3O/A8DdDvB/h8BwyYBjAYqKmpQUREBO7evYuEhARkZmaisrISfD4fmpqa0NXVha6uLlRUVCAUCmWJx3g8HqqqqlBdXQ1NH00YzDCA5LoEdnw7eHh4YMSIERg0aFC7RyBSPh9Px4wFT1cHYSNGYPbs2TAyMgIA3Lx5E0VFRbC1tcXDhw8RHh6O3Nxc3L17t+PPp3XeDV/lgIAAMjMz6wrRRER07tw5Cg0NbftGOXj27Bn5+/tTWVkZCXJz6VF/eypZv6HF+4VCIZ06dYqOHTvWxP2uJdbfX08ORxzoTsGdRp/fv3+ftmzZ0qafdKsI6oiu/IfoJ22i9RZEMbuJhI2dMyIiIkhTU5OysxWwFy2VEj26RNLdg4l+0qbUr6zIe4ApKSsrk5mZGY0ZM4a++eYbunTpEj19+rSJZxcR0fnz5yk5ObnJ57WcWpp9fja5HHGhj7/4mLy8vKhHjx6kqqpKzs7O9M0337RrW+ylR9XDoCDauHEjFRQUEFHDNtKJEyfoypUrdOTIEYqIiCBtbW26ceNGx59L67z9+7i1tbVkbGxMgYGBihZNRESPHj2i7du3N/tCtJf6+nravHkzZWRkEBFR0U8/0WNHJxK1sb8nkUgoNDSUtm/f3uZeYMLzBHI44kDr7q1r9Hl0dDRt3bq1WRdLuSmII9rq1GC0V/5DxGve64qIaObMmeTl5dXxsqih3ufOnaPx48eTnq42rRmpT/Xf65Ho/3oS7/5RueUEBwdTfHx8s9eK64rJ6w8v+vjaxySRNjjrFBQU0MaNG2no0KHEZrPJ3NycFixYQI8ePWpd37o6euIxiPL/vYLS09PJ39+f8vLyiIiIx+PRjh07KDo6mvz9/enzzz+ngQMHdpWD0NtvuN9//z05OzvTli1bKCkpSaEPor6+njZt2kTPnj1TiLxXe25xbS09dnGlwm/kjyBJSEggf39/meG/jkgioqkXp9Los6OpXlgv+/z+/fu0bds2qq5u2dDaLvw40c+9iAIciHLa9kDicDhkaGhImzZtandRFRUV9M0335CpqSn16tWLlixZQjExMQ0XqwuIfh/f0HiErCASt92g3rhxg+7cudPi9aCMIHI44kDn0ps6kPB4PDp16hRNnDiR1NXVycPDg44dO9bie/Z8cwA9sutPgmfPKDMzk/z9/WU9b2FhIfn7+9Ply5fpl19+oX79+tHp06fleCLt5u023OfPnxObzaaoqCh69uwZHTp0iHbv3k1PnjxRiEfTxYsX6dq1awrQtGnP/XJYxU1tn59zXl4ebd68mf78888mdTyadpQcjjhQWG6Y7LO4uDi5wg1bRColCl/XYChHJhHVyT/MDgkJadeQ+enTp+Tr60tsNltmIGJxM26ZYhHRzZ8adDoxo2H43goxMTGt+lJLpVKae2UuDQscRhwBp8X7XjYoJiYmsrC91324hSXP6ZH9AHq+cSMRET158oQ2btxIxcXFJBaL6ffff6dffvmFtm/fTl999RWZmJgoZDT3Gm+34S5dupRcXV1l/y+VSunJkye0a9cuOnToUKd6ytLSUvL392/Rub49vN5zS6VSyho/gbJnzuyQvOrqatq3bx+dP39e9qPXCGpoyMkhtPjGYplBZ2RktCvcsAlSKdH17xoM5MLnDQbTTuQZMpeWltK8efOIzWbTlClT5A/aiP2d6P90iQ6NbdV4U1NT6cyZM62KSi1LJYcjDrQ5bnObxUokEjpz5gzZ29uTgYEBbd68uVEPnLf0c0p/z5ukL36bhw8f0saNG2n37t10/Phx2r59O0VFRdGmTZvI1NSU9uzZI1995eftNdzs7GxSV1dv9keWSCSUmJhIW7ZsoZMnT1JJSUm75QcGBtKff3bcKf1VXl/c4qak0CNbO6ps42VqDaFQSOfOnaP9+/dTTU0N7UjYQQ5HHOhh+UMi+qvheTnH6hBR/i/ms6uJOjgFaW3ILBAI6MsvvyRNTU0aMWJEswtIbZIW1GC8x6cRiZqPpsrNzaVDh5r3z36Vb25/Q27H3aiMWyZX0RKJhA4fPkx9+vQhMzMzOnXqFBER1d66RY9s7aj2RQBKZWUlbdiwgTZv3kwCgUA2ZD558iStXbuW9PT0qL6+vrWi2svba7gLFiygoUOHtnqPSCSimJgY2rhxI50+fZoKCwvlkp2fn08BAQEKGcI0t7hV8uuv9NjBkcSdDO6XSqV0+/Zt+jXgV/I47kH/L+L/ERERl8ul7du3U2JiYseFJ59uMNrzixp63k7Q3JA5MjKSzMzMaMCAARQREdEp+RR/tEHXi8ubvVxZWUkBAQFtismpziGno04UENf2va8iFotp48aNpKurS+PGjaPS4mJK9/am/OXLqbq6mrZs2UL379+n8+fP0/nz50kqlVJYWBgdPXqU1q9fT5aWlrRt27Z2ldkGb6fh1tTUkLq6eosrha8jEAgoJiaGAgIC6NixY5Sdnd3iHFgqldKRI0fklt0aXC63yeKWVCyW/aiK4rfw38jhiAOdvHmSxGIxHTt2rHPbV88fE/1iSPT7hBZ7sfbycsgsEAho4cKFpKGhQd99953iFhPD/ttgvPHHmlySSqX022+/ydWr/SfyPzToxKAW45Rbo6SkhEaNGkV6enoUMWcOPXYaSLsCAmQLa0KhkPbt20d37twhkUhEu3fvpqNHj9JXX31Fffr0UeRJJ3LZ4t8eZHDs2DGYmjZs9MuDiooKvLy8sGLFCjg4OODKlSs4dOgQnjx50tDyvMLTp09RV1cHZ2fnTut5584d2NjYNHLa4CUmQlJWDu3x4zstH2iI/AkrD4NbLzfw8/nYvn07xGJxx4+fFfGBc58CKhrAjEOAkmIOjD906BCysrJgZGSEe/fu4d69e1i7dq3ivNxGfgf0HQ5cXQ1UPG10icFgwNjYGEVFRW2KWeC4AFwxFxez2p8AztDQEGFhYdi0aRN+uXETJBDAns+Hl5cXAEBZWRl+fn548OABsrOzMWnSJJSXl0NPTw88Hg+RkZHtLrMz/K2GS0TYtGkTli1b1u7vslgsuLi44PPPP8eQIUNw+/Zt7NmzB8nJyZBIJCBqiJTx8fHp9AtVU1ODpKQkjBgxotHndVG3ASUlaAwd2in5L4nIi8Bz7nN87PAxPD09IRQKUVFRIUsN2W7ubgVKHwFT9wJaRgrREWjIkMflclFfX4///ve/cHBwUJhsAA2ulVP3ASxVIGQF8Fp4obGxMYqLi1v48l/Y6ttiYK+BOJd5rkmjLi//+te/8MOpk6gF8OTIEeTk5MiuaWtr48MPP8TFixeho6MjOxze29sbAQEBHSqvo/ythnv79m3U1NRgxYoVHZbBZDJhb2+PRYsWYezYsUhKSsKOHTsQEhICJpMJOzu7TusZGRkJNze3Jmfr1kVFge3qCpaCzty9lH0JBuoGcO/hjmvXrsHPzw/Tpk1DcHAwwsPD2xcfW5kN3AkAHKYD1oo7MH7NmjVYtGgR9u7dix07duDTTz/F48ePFSZfhrYxMOYX4NmfQMrpRpdMTEzk6nEBYIbNDOTU5CD+eXyH1OBwOIhNSECP99+Hh7IK3N3cEBYWJrvep08feHh4yLIelJaWwtnZGVFRUXLrqAj+VsMNCAjA+++/r5AhFoPBQL9+/fDxxx9j+vTpePz4MSorK/Hnn3+Cz+d3WG5ZWRkyMjLw3nvvNfpc9Pw5BBkZ0Bze/KHd7aVGUIM/C//E+L7jcSP0BgYMGABzc3NYWlris88+Q2FhIY4ePYra2lr5BIavA5hKwJh1CtFPJBJh0qRJOHbsGCIiIjBv3jx89tlnmD17NsaNGye/Xu3BdT5g7AxE/AqIBbKPe/fujby8PLkasrEWY6GupI7Q3PanXiUiXL58Ge7u7ug5ygdssRi/Ll4MX19f7Ny5U3bf0KFDUVtbi+LiYtl0ys7ODnv37m13mR3lbzPc4uJi3LhxA5s2bVK4bAaDATabjU8++QTl5eXYvn07wsLCUFdX125Z4eHhGDJkSJOcqdy4OAAA29NLITqHPQuDWCpGf0Z/FBUVYdSoUbJrmpqamDt3LqytrbF//36kpaW1PvQrywDSzgODFjX0XJ1EKBRi9OjRePr0KVJSUuDu7i67tmvXLpibm2PixImKPzGDwQBG/QDU5AGJx2Uf6+rqQlNTE4WFhW2KUFdSh7epN8LzwiGl9umXl5eH8vJyDBs2DBov5rYzbGxx9uxZfPvtt9i4cSOAhmmbr68vbt68CXd3d1mu5l27dkEkErWrzI7ytxnuvn37miz2KIq4uDi4u7vD0NAQU6dOxaJFiyAQCLBr1y5cuXIF1dXVcskpKChAUVERBg0a1OQaLyERDDYbanYdT/71KncK78CYbYzHUY8xZcqUJuGGDAYD3t7emDVrFqKionD27NmWG6KYHYCSGjC489FVQqEQI0eORFVVFe7fv98kaJzJZOLy5cvIz8/H559/3unymtBvVEMc7/19DeGCL7CxsUF6erpcIkabjUYZr6zdJ2XExcXBw8MDLBYLykZGUDE3Bzc2FuPHj8elS5ewdu1a/PbbbwAAIyMjeHh4ICoqCgMHDoS1tTV0dHQQEhLSrjI7yt9iuGKxGDt27MB3332ncNlcLhfp6emNVpL19PQwceJELFu2DKqqqti/fz/Onz+PvLy8Vnuu8PBwDB8+vNmYXW5iAtSdnMBQajuutC1EUhHuF9+HqdgUDgMcWs1Ab2pqisWLF0NfXx979+5t2vsK6oC0IMBxOqDZuZMZRCIRxowZAw6Hg+jo6GZTsQANizShoaE4deoU9uzZ06kym8BgAB6LgPKMhrDDF9ja2iIjI0MuEd69vcFkMBFdFC13sXV1dcjKymr0HqkNdAI/LQ0AMHz4cFy5cgW//fabbCFq6NCh4HA46NmzJ7hcLgYNGtQlI8rm6PxbKAcRERFgsViYOXOmwmUnJibC1tYWbHbTkxA0NTUxevRoeHt7IykpCSEhIWCxWPDw8ICjo2Ojc6dKS0tRXl7e7JEzUoEAgvQM9Fi0UCE6p5WnoU5UB80aTYyc1nZaRyUlJYwePRp2dna4ePEiHj16hAkTJjTkInp0ERDWAS7zOq3Xy8PS7t+/32aeIzs7Oxw/fhyzZ8/GgAEDMGyYYub+AIABU4HQNUDKGcByBICGBozL5aKyshL6+vpNvsLj8WS5e4uLi9FT2hMhCSGguwSJRAIlJSUoKSlBRUUFvXr1kq0I9+rVCywWCwkJCbC3t280RVIfMAC1IZcgKi2FsoEBvL29ceHCBXzwwQfo3bs3Zs6cifHjxyMoKAjOzs6QSqUIDQ2VZTvsSv4Wwz1//rzc+7btgYgQFxeHGTNmtHqfmpoavLy84OnpiZycHMTFxeHWrVtwdHSEu7s7DAwMEBsbC1dX12aDsIU5OYBEArV2nJ7YGi+HcB+4fdCuQ+t69+6NxYsXIzIyEnv37sW4ceMw4MllMHT6AH08O6XT2rVrERkZiYSEBNkJEG0xZcoUfP/995gyZQrCwsIazYU7hbIaYDOu4TQNiRhgKYHBYMDR0REJCQkYPXo0eDweUlJSkJ+fj6KiItTX18PIyAjGxsawtrbGkPIhuFJ0Bb4TfKGmrAaxWAyxWAyBQIDS0lLk5uYiOjoaNTU1MDAwQFlZGXx8fCCVSmWLp2ovtr34aQ+h7NOQpXHUqFHYuXMnFi5cCDs7Ozg5OcHQ0BAqKipgMBiwtLTE5cuXsXTpUsU8ixbocsMlIpw/f75LTm7MysqCurq63KkrXz5YS0tL1NbWIj4+HsePH4e+vj6Ki4tbfNiCzEwAgKq1tUL0fvDsATSlmhjhOaLd3321970UfB62lbdAjjOh0onjWy5duoT169fj6tWr7e4pvv76a3A4HIwZMwaRkZFwcnLqsB6NsJvUsC2Ufx+waFjhd3d3x8GDB8HhcJCRkQFra2vY2Nhg+PDh6NGjR6PditJnpQguCEa1UjUG9BjQSPSr+W8FAgGys7Nx4cIFJCUl4d69e3B3d4eLiwtUXyQzFzzNgpbPXyOjTz75BImJiZg4cSJSUlLg4+OD48ePw8TEBNbW1ggMDHz3DTc1NRVCoRCTJ09WuOyXiwkdOXNIW1sbI0eOxLBhw3DlyhWUl5fj999/h6urK9zc3BrN7wQZmYCSElRamYvKCxEhpTQF/fX7Q6kT8+XevXtj0UQPKB0V4MJjLgwNo+Hp6dnuY1syMjIwb948bNy4scPD3XXr1oHH48HHxwd37txB//79OySnEeYvtuPy70NkOggPHz5EbGysrOdcvnx5qydbWus2NLKZ1ZkY0HNAi/epqqqCyWTCzMwMc+fORWFhIeLi4rBjxw7Y2Nigv64uhLnPmnxvy5YtSEtLw/jx4xEdHQ0rKyuIxWI4ODggIiICdXV1XZZWFfgbFqeCg4NhY2Oj8EPg+Hw+cnNzMWBAyz+KPDCZTBQWFmLGjBmYN28eeDwe9uzZgzNnziA7OxtEBFFhAZRNTcBoJvdqe0l7nIZqVMPVrPNTB6XShoWTEXNWITs7G3v37m3k6dMWUqkU06dPx9SpUzvdQwQEBOCjjz7C8OHDFeOgodED0O+HuvQI7Ny5Ew8fPsTw4cMxbdo01NbWtnkcbR+tPlBjqSGzKrPNooqKimBs3LCNZmpqig8++AD//ve/YWhoiEo1NRTGxYHD4TT6DpPJREhICIqLi/HDDz9gxIgRyM7OhpqaGoyNjXHjxo2O110OutxwAwMD4efnp3C5WVlZMDc3bzaRcXvIy8uDRCKBhYUFDAwMMGHCBHz55ZewtLTE9evXsWvXLlRmZIJlYNhpnYkIV/+8CjAAM20FbIuVJAPsntAzs8ecOXPg4+ODixcv4ty5c3I5SPz000+ora1t+SD0drJr1y7MmDEDQ4cORUpKxw8tBxoa5kJpD4iL0uDr64s5c+bAxsYGtra2qKurw7NnTXvBV2ExWTDXNsez2tbvAxp8DF4a7kvYbDaGDBkCc09PqNfUYO/evUhOTm60oq+hoYHjx49j27ZtyMvLg6OjI3r27AlTU1OcPXu2YxWXky413KKiImRnZ3fJeD8jI6NdqTZaornhtqqqKtzd3bFkyRJMmTIFVFaGzMpKhISEoKCgoMN+sAUFBagQVwAAemv27rTuqM4H9C0BBgMMBgP9+/fHsmXLZFtHd+/ehUQiafaraWlp2LJlC44dO9bpxu9Vdu/ejfnz52PEiBGIe+G00l4yMzOxZ88e8NSMoINa9DX/q5FjMpkYMWIEwsLC2vwdDNgGKOWWtlleWVkZDA2bb5iVDQ3BqqvDnDlzEBMTg8DAwEa977BhwzBnzhzMnj0bHh4eKCsrg52dHaKiolp89oqgSw338uXLMDc3b3arpjNIJBJkZWV12nDFYjEyMzPh+OIE+9dhMBjo06cPlOvqYD9sKPT09BAcHIydO3ciMjISFRUV7SovLi4OhpYNL4gB26BTugMAOMVNggmUlZXh4+ODBQsWyHIKZWZmNnrJpVIpZs+ejVmzZmH48OGd1+M1AgICsHTpUowePRq3b8uf60ckEuHixYu4evUqfH19YeU2AgypuEkmBUdHRwiFwjYdMuQ1XJFI1OLqPktfDxCLYaihgUWLFsHIyEi2n/6SHTt2oK6uDlu2bIGJiQksLCygq6uLmJgYOWrdMbrUcAMDAxWSOeB18vPzoaen16KDgLzk5OTA0NCw1YaFuFxAIoF6z54YOnQoli1bhmnTpoHP5+Pw4cM4ePAg7t+/j/r61nPp1NfXIyMjA3rGDecva6t2TncAALcC0OjZ7KUePXpg9uzZGD16NK5fv46jR4+ioKAAQMOQtrKyErt27eq8Di2wbt06fP3115gwYYJcThp8Ph8nTpyAWCzGkiVLGtLEqL3YlnotTxGTycSoUaPaDMTood4DlfzKNntmkUjU4kKhUo8eAABxRSVYLBZGjhyJuXPnIiwsDPfu3QPQEHp69OhRbNu2DX379gURwdDQEBcuXGiz3h2ly1aVhUIh7t69i8OHDytcdnp6ukKGyenp6bC1bd2FUVLX8NIwNRpWCBkMBkxNTWFqaooxY8YgOzsbqampiIiIgJmZGRwdHWFra9tk+JmYmAg7OzsUUAEYYEBTWQErjlIxwGw5MwODwYCtrS2sra2RlJSEs2fPwsDAAGvXrsW6desUOkRujq+//hr29vaYN28ekpOTsXv37mYXKevr63HixAn06dMH48eP/2vaUpLa8G/+faBn4604a2tr3L17F/Hx8S1mFVBXUgeBIJQKocpqeb+cwWC0aNysF3vakpq/3GaNjY3x6aef4vjx4+DxeBgxYgSGDx8OLy8vbN68GW5ubrCyskJUVFSzMhVBl/W4Dx8+hKamZqvufB2BiOQyOHnkZGRktClHWtcwn2FqNTU0JpMJKysrTJ06FStXroSDgwNSUlIQEBCACxcuICsrC1KpFFKpVPaC8cV8qLJUwWQo4NFLpXKlCWEymXB1dcXy5ctx584dsNls9OzZEzU1NZ3XoQ2mTJmC+/fvIzQ0FMOHD29SJo/Hw/Hjx2FlZdXYaAFA5cUzZzbtXxgMBiZNmoTIyMgWfdFrBA1lcYScZq+/RFlZGWKxuNlrDJUGgydh4+ABHR0dfPrpp3jy5AmioqJQV1eHKVOmIDQ0FFpaWujTpw9KS0vbHIl1lC4z3Pj4eBgYKGAe9xrl5eWQSCQtLibIS3FxMVRUVNDjxVCoJUgoBIA2t4JUVFTg5OSEOXPmYPny5TAxMUFkZCS2bNmCc+fOgcViwdjYGAwwQIrK5KKi0eDuKCc8Hg+nT5/Gxo0boaWlhb179+LGjRvgcrmK0acF7OzskJKSAgaDAScnJ9l2kVAoxMmTJ2FhYQEfH5+m+/F6Fg3/mjS/ddarVy8MHjwYISEhzfaY94obhrLPuS1kG3yBmppaiwb28nd/+R68ioaGBubNm4eEhATs2LED9vb2GD9+PK5evQomk4kePXogOTm51bI7SpcZbkxMDOzt7RUuNycnB/369et0oqf29trtKU9TUxOenp5YuHAhPvnkE9TW1oLL5WLXrl0oyO/4qnQT1PUAbqXct//yyy/o168fZsyYgVGjRuHzzz+HUCjEzp07OxwGKS/a2tqIjIzExIkT4eXlhQsXLiAoKAg9e/bE2LFjm3++3BeLf+yWG9chQ4ZAIBAgPr5p4Pxgk8EAgF7qrQdfGBkZoaSkpNlrohehhJzwW81er6qqglgsBovFgqmpKbZu3Yo7d+6AyWRCXV29wyvrbdFlc9zo6OhOnXTREsXFxTA1Ne20nIyMDIxX0NlRraGvr4/6+nrMnz8fYrEYG2M2QiQRYf+B/bCztYOtrS0MDAw61hBpGjSsLMvBy9Sgrybz0tLSwqRJk+Dt7Y3o6Gjs2rULDg4OGDJkCPReS2KmCJhMJnbv3g1nZ2fMmzcPkydPxrFjx1quO6e4YZisrtuqTF9fXxw5cgTm5uaNwhB1VRu+19Z6goGBATIyMiAQCPD8+XMIhUJIJBKwWCzoZ2bCGEA9SwkikahR5Fh9fT1Onz6NqVOnQk1NDWfOnMGSJUvg4+ODBw8eoGfPnl1mB11iuEKhEFlZWZg+fbrCZRcVFXU6xWF9fT2qqqrQu7f8e6kd7SXLyspkq4wMBgNu9m4IjwuH1zAvFOUUITAwEABkzgXm5ubyuy32tAGSAxviVtsw/DNnzgBAsxFaurq6mDBhAoYNG4b79+/jwIEDsLKygre3d5dMd/z8/JCeno4//vgDQ4cOxalTp5pPNl6eAfSwanMe36tXL7z//vsIDAzEwoULoa6uDgCoE9aBxWBBTUmtyXeEQiFSU1ORkJCA58+fg8lkgs1mw8TEBGpqamCxWJBIJBAIGk7iSOBycdrfH4aGhnB1dYWjoyOuXr0qi8UFGraprl27hjVr1mDChAmYOXMmEhMTO/m0mqdLDPfhw4fQ1tZW+I8uEolQWVnZabkvPWXkccNkvngJiMfrUFkvh+QvexVdtYZeQNdYF062Thg7dizKysqQnp6O8PBwVFRUoF+/frC1tYWVlZXsJWyWXraAkNOQm1a39eCAbdu2Ye7cua3WWVNTE6NGjcJ7772HuLg4meO8t7e3wsLUXh4PM3nyZPz3v//FggUL4OTkhJ9++gkrV65srF/pI8C4aZhlczg7O+P58+c4d+4c5syZAyaTiQp+BfTV9BstBNbW1uLu3fbvDuEAACAASURBVLtITU2FmZkZfHx8YGRkhG3btmHChAlNnk89h4M8AJOm+kLV1RXZ2dmIi4vD9evXwWAwsHjxYtm9I0eOxL59+2Bvbw9TU1PU1tZCIBCgvr6+TRfN9tIlc9z4+PhOLx41x/Pnz9GzZ89OOecDjX1T24L5wlFc0sH53+tzaT3VhiFoBb9h/sZgMGBgYIChQ4di4cKFWLZsGSwtLfHw4UNs3boVR48eRUxMDCorm5nL9n4x8shrfaM/MzMTSUlJ+Oqrr+TSWU1NDd7e3lixYgWsrKwQFBSEw4cPIy0trdPeQMnJyaitrcXQoUOhqamJ06dP4+TJk9i0aROGDBnyl691bRFQlftXHeXg/fffB4PBkPkJV/Aq0EO9YX5MREhMTMS+ffugpKSExYsXw8/PD/369YOGhgYMDAyQlZXVRKb0xfllDFVVsFgsWFtbY9asWTA3N4exsTEOHjwoc4VUVlbGBx98gGvXruGTTz5BfHw81NTUumSBqkt63Hv37ikmQuQ1ioqK5A7ha43i4mK5gxOYL050lHLab7hcLhfl5eWNtsR6azUMz/M5+XAxcGnyHU1NTbi6usLV1RUikQjZ2dlIT0/H3bt3wWazZUNqU1NTMI0cG5wUcqIAp5YPKTh48CAGDRrU5BiatlBWVoaHhwdcXV2Rnp6O2NhYXL9+HS4uLnBzc5M7bvclHA4HN2/exLx58xpNByZPnoysrKzGve9o04Zepa/8EUtMJhPTp0/HoUOHcPfuXRTVF8FEwwS1tbW4dOkS6urqMG/ePFnS6ldxd3dHbGxsE/8ASVXDVhPr/zN33XFNntv/GzIIJGEPCRuRoeIArCJu6x51tFatdVBbb+3SLmtv7e2tbd3XUa2iorhxUBWkorhFRAUREGQIhD1DgCRk5/n9gbwXZAUS7q/fzycfJXnf8zxv8p73nOc853xPizW/TCZDUVER1qxZA5FIhEuXLiEzMxMzZ86Es7Mz/Pz8IBQKUVZWBisrKyQnJ2PkyJHd+q66vFaDSnuFhIQEvPnmmwaX214yeE/l6FzDy2KBZmwMjY68Va+P4+Dg0OomdeI6wYhmBEG9oMvzmUwmvL29MXv2bHz11VeYPXs2xfm0Y8cOXI6+ggbbQJDs2KaC8w5w7do1vPXWW92efzPodDr69++PZcuWYenSpVAoFDhw4ADOnj2LvLw8ndf/jx49gp+fX7uK87r1vX3gG2jYloB9++moHcHExARLly7Fk+QnKKgrQB9WH4SFhcHR0RErV65sd2wAGDBgAMrKytp4NpraJs+I0YJ1o6ysDH369KEqgT766CPY2dnhyJEjEAqFGD9+PEpLSzFo0CCoVCrcunWrW9egC3pFcQsLCzFhwgSDyzWExZVKpZDL5TpHTWk0Ghh97KGubH+7oDO055Iz6Uw4ch0haBB0SxaNRoOTkxMmTJiAjz/+mLoJnyo9QGusQcy+73Dt2jXk5OS0oqetra1FVlYW3n9ff2oboCkQNG3aNKxduxaenp6Ii4vD3r178fDhQ8g6iQOo1WqkpKR0GVicNWsWXmakYLSdFIce1mLNl192O4nBzMwME+dNhJqoIUgWYPz48Rg3blynQT8mk4nBgwe32VZS14pAY7NBa5EW+7oBodPpmDhxIkaPHk1R6jZ7TSKRqMtKpp7A4K6yTCaDXC6nIm2GgkajMWhgqjvbL8w+DlCVd19xy8vL210y9Lfu320GwtdhaWmJ4cOHA/6DQbafxTjzYiSbmCAxMRGRkZGwtraGm5sbVeTdXTe5K7BYLAQEBMDf3x8lJSV48uQJ7t69C3d3d/j5+cHLy6tVLCIjIwMODg5dJrwAALfgKmCkxRshW3Hw3wfh7OyMNWvWYP369e0S+bWHvIamViY2sIFIJAIhpMvfPDAwEGFhYQgKCqKK4NUV5WC8tl3X0NDQ7nX4+/uDRqPhxIkTeOedd2BnZ4eKigqDB6aAXrC4zRM1dOG8WCyGqamp3oGpnrjbzD59oNKhBcbr6MhDGGQzCOXSclQ3VndbZtvJsUELWA6OIA5jBrlh6dKl+OabbzB16lQYGxsjNjYWrq6uOHToEOLi4pCbm0ttcRgCzRVU8+bNw5o1a+Dl5YWkpCTs2LEDUVFREAgEFDeYTpxUWi3wcB/gMBj+s1fh6dOnOHToEE6cOAE3Nzfs37+/Sz5nQgguPbkEJo2JdSHrkJeXhwsXLkDZTvZTS1hZWWHo0KH466+/KPdfKShsw3zSkpfqdQwdOhRDhgzBtWvXYGlpCXt7e8jlcsMl3byCwRW3vLy8V54whqICEYlEOj31W4Ll5gp1RQW03UgNbGxshFwub5eRcJBtEy/Ts+pn3ZpHhxj+j6Z93Ad7ADTxUrm4uGDs2LEoKSnBP/7xD0yePBksFgsJCQnYsWMHDh8+jBs3buDly5cGU2Q2m42hQ4di6dKl+Pjjj2FtbY3Y2Fjs2LEDVVVVugWzsqIB4Utg5OfU3vT8+fORnZ2NH374Ab/88gu8vb0RGRnZoYikpCQUa4sx2G4wLM0ssXz5cjCZTBw9erRLju1x48ahpqYGGRkZIIRAWVQElosLCCEQCAS4fv06cnNzcfPmTfznP//Bvn37EBkZicTERCrzzMHBAaWlpeDxeHB3d4dUKjV4XrjBXeWysrJeUVyxWNyml8//Sg7L0xMAoMjLg0kHtbuvo7y8HH369GnXPRtgMwBcJhcPSh9gkqsB+vyYOza170g+CgxfRVXSNDQ0oKqqCuPHj6cKPsaOHQu1Wo2SkhIIBALEx8ejrKwM9vb2cHFxAZ/PB5/Ph4WFhV5ppWZmZggODkZwcDDOnTsHqVSKiIgIGBsbw9vbG15eXnBycmo9hloJ3PgJsPEG+s9pJc/IyIha22/ZsgUffvghfv31V/z666+tMuDq6upw7e411NjVYK79XABND7K33noLiYmJCAsLw5w5c9C3b99259187JkzZ+DM40ErkaDWmIXIP/4AjUbDgAEDMHDgQFRVVWHWrFkULWxhYSHu3r0LJycnlJaW4q233sK1a9fg5OSE1NRUlJWVwcKi4wyw7sLgilteXq53nWx7EIvFBrG4PbHc7FfrdUVOrs6KKxKJ2rW2AMA0YiKIH4T7pfd1WnvphHHfA2nngdj1wHvnARoNd+/eRZ8+fdpcL4PBgJubG9zc3AA0JbaUlJSgqKgI6enpuH79OpRKJRwcHODg4KC3MpeVleH999+HlZUVSktLkZ2djStXrkAqlaJfv37w9vaGh4cHWE8ONDUve+8CQG//1mQymfjhhx+wdu1abNiwAe+99x4sLCywfPlyrFmzBnfv3oWxjzG0Qi3GOv2XJIBGoyEoKAj29va4fPkyPD09MXny5HYL6B0dHTF06FDcCguDD4CntSJMe/ttuLu7g0ajobq6GqdOnQKPx4OZmRns7e0xZMgQTJ48GWFhYVCr1VRFVnMwtLy83KC5+wZX3JKSkm67orrg/9PiMp2dQWOzIc/K0vkciUTS6TijHUcjrjAOL2pfoL+1AX5Qri0w/nvg2nrg2Slg6BLEx8frVEjBZDLh7u7eKu1QIpGgvLwcZWVlHSqzg4MDLC0tO1XmlkuG5si4k5MTJk6cCJFIhOzsbDx+/Bj3Ig8hRH0MEvsg0PuMQFe/EIfDwX/+8x9s2bIFR44cwf79+7F161YMGTIEfdf0ha2Jbbvsjh4eHvj4449x/fp17N+/H7NmzWrX+o4YMQLXXlEKz//6K5jY/JewwMbGBkwmE8XFxa1a6iiVSjQ2NuK9997DxYsX4e/vT5UMGrqTn8EVt7CwsFs5wLpCIpHonXan1Wohk8m67crT6HSYDBwIWTfyTsVicadBsPHO48EwYiAmP8Ywigs0rXWzYoCr3wEuQcjIyOiQlqcrcLlc9OvXr9XuQE+UuXlLrD3ltrS0xIgRIzAiYAi0YYehrTVFvOUCZPzxB+Xau7u7w9XVtUMviclkYtWqVVi1ahWOHz+OY2eOIak2CfRsOg6JDiEkJKRNJJrNZmP27Nl4+fIloqKi4OLigvHjx1MeEiEEFy5cwACVGnIrK1y5fRvz5s2jtpNoNBoCAwPx+PHjVoorEAjg4eEBV1dXLF++HEePHoWtrS1oNJpO/X27A4MrbnFxca9U3RgiOCWRSGBqatqjiLeJvz+EYWHQNjbCSAcOra7ma8G2wFinsYjJj8HagLVgtFMs3m0YGQFz/gAOjgUiFkNaq4aLi+ESYbqjzH369IG1tTXq6+vBZrMhFAphYWHRdi+VEODKGhhVpMJo4WnM9JmB6VotKisrIRAIkJaWhitXroDL5VLuvZubW5uHLyEE9fX1WPTTIuzO2o0J9hOwZcsWrF+/HtOnT8fChQsxbdq0VuN7enrik08+QWJiIg4fPowBAwZg7NixyMjIgEathll5OUyDgpCt0eDMmTOYP38+lTs+ePBgPHjwAAKBAI6OjsjIyMCjR4/Q2NiIyMhI+Pr6YubMmTh79ixoNBpyc7umie0OemWNa+g9XMAwrrI+MkwD/CE8eBCytHRwRnTd7kOXsWb1nYWbRTdxv+Q+xrt03UNIJ1i6Au8cA07Mxb8GGKHBRf8SyM7QkTJXVlZCKBQiPz8fTCYTJ0+ehFgshoWFBaytramXR8mfsEw9AzJuPWg+MwA0BaKarXhQUBC0Wi0qKiooRY6OjoaZmRmcnJwoS29iYgKZTIZHwkfwMPfAzqU7sevbXbh27RrCw8Px4YcfQiqVYsSIEZg7dy4WL14Mc3NzsFgsjBkzBoGBgbh//z7VKnPRqFFQCoXgjgzCgrlzKdd6xowZ8Pb2BpvNxowZM3DhwgVotVo4OjrC2dkZZWVlcHd3x6NHj1BaWgoOhwM6nY7i4mKDfu8GV1y5XG7Q6FkzZDJZ55UyOkAfq23i7w/Q6ZAmJBhMccc4jYG9qT1OvjhpOMUFAI+xwMydGBf9OeqrwwHNHICuW+KCIcDlcsHlctG3b18kJCRgwYIFsLa2hlqtRm1tLYRCIYRCIYyTD8KyLAKZ9IG4nKCFdc5BWFtbw8rKCtbW1rCxsYGVlRXYbDYVIBs5ciSlyKWlpSgrK0NycjJqampQz65HanUqFtgvoCLlU6ZMoQgLmyue9uzZg7Vr12LAgAGYPn06li9fjr59+2LKlCkwNjbG8+fP8fRoOAYCqOrTB2YApk6dCh8fH0RFRSEzMxNTp06FXC6HUqmEra0t3nnnHWi1WuzevZuKmIeHh0OpVIJOpxu8b67BFVej0XSrkZWu0Gq13W6v8TrUarXOmTevg87jwdTfH5K7d2H35douj5fJZF3S0jKNmFjiuwQ7knfghfAFfK0NV5ihGbIEa1avwu/T4oEzi4C3jwBsw0f7O4NarYZEIqHWjgwGA3Z2drCztQXubALKIoAB89B/3iG4K1WUUtfU1CAnJwcPHz6EUCgEi8UCj8cDj8cDl8ul/s/j8RAYGAgej4fExEQcqTkCE40JvOReiI6OhlAohJWVFfUAsLa2xjfffIPNmzejtrYWJ06cQHR0NLZv3w4bGxv4+vpStckBTCZkdna4n5GBq0lJ8PX1hbe3Nz766CPcunUL+/btg0KhwHvvvYfU1FScOHEC8+bNg6+vLy5duoSamhoolUo4OztTtb2GhMEVV61W94riajQavbOxOst40QXcsWNQtX0HVBUVYHaQrN6MZgaFrjDPax72p+7H4fTD2DFuR4/n9jrq6+sRmqLF73/sBq58CRyZCiw6/V8ep/8BmhkjWgWmlI1A1GfA8wvAkCXArN0AnQETEwbFntkShBBIJBI0NDRAIpFALBZDLBajvLwcYrGYeq9cXo5Mx0wM1QyFWqoGn8+nKI60Wi2kUimqq6vR0NAAoVAIOp0OW1tbfPPNN+ByucjJycHz58+RmJiIX374AedNOYjVaHDr/Hn0798farUa2dnZkMlk6NevH/r06YOamhqcPXsW/fr1g4ODAw4dOgRbW1uUlJRg8ODByMnJgYeHBzUHQ6JXLK6+Lm17MITF1V9xx6Jq+w6Ib92C1eLFHR7XnN6my56nGcsM7/d/H6FpocgQZrTpLNdTNLtoCFgOWLgA55YDB0YDM/4DDHrHIGN0BbVa3TpFtSwFiPywKTPqzZ+A4DVdMnfQaDTKunaGt8PfBpPOxDdjvwFLxaIUvFmxm/+VSqWg0+kwMjJCQ0MDxGIxCCEghMDNzQ19+vSBU3Ex2PfjoQnwB1cuR0JCAs6dO4eamhpwOJxWlp/L5eLx48fU39XV1eByuUhPTwedTsfLly9Be9VpwpDoFYurVCrbNEnSFzKZDBKJRK+1glgshkKh6PHciL09GB4eEF2OArOT7oMajQYqlUrncd52fRtns85ix+Md2D1qd4/m9jpqa2tBo9Ga5mA3DLT3r4L91xdg/LkSqtTzUIz7EcTCsNS5r0MkEjV9DzVlYD3aA1byIRBTG8jfiYDGJRgwEDldRm0GsmnZmGc/D642TdfU0VacVquFUqmkXhKJBDKZDI2NjaiurkZWVhZ8RHVQmZrAIigIIxUKyOVy6r6uq6uDSCRCTU0NRCIRiouLkZmZSRXXqFSqdvOS//b7uEZGRgZfiDfL1TdRW1+XhUajwXTqFDT8sR/qsjIwOigx7Ixguz1wmBws81mG3Wm7cbfsLsby9W8LwmAwWl0rMXeB7N3zYCUdBCtxFxjhE6AasgzKwI9AuJ27/T2eA1FiqOoJOEfDYCStgmrAAsjHbmhipzQQtESL39N/hwkxwUz7mZQyvv6SSqWU5ZXL5VAoFJRHQKfTKYuolUjAe/ECBa6uyCsoQFVVFSorK1FeXo6KigrU19eDTqdTFpbD4cDNzQ08Hg+mpqbg8XgwMTEBnU4HIQQMBgMnTpwwOI2TwRWXyWSCwWAYJMupJUxMTMDhcPTqQ2RmZgZjY2O95mY8bx4a/tgPze07sPzHqnaPIYSAxWKBy+Xq7CItG7wMV4uvYmfaToxzHwcuS789a4VCAUJI22uduA4Y9j5w82ewnh4G61k44LcAGLoEcBnRpeuqE4R5QOoZcJOOgK8RAtZBwKIIMJ0C0NPYtkKhaLXGbf7/7drbSFOk4Y26NxAXEwdCSKsAlomJCVgsFhgMBkxMTGBmZoaGhgaIRCLQaDRqW0qj0SA7Oxua+HgwNBpsT3mKRzdvwMXFBb6+vpgyZQrs7OygVCrB5/ObChCUSqhUKpiamsLZ2RmZmZlgMpmQSqXw8fFBbm4upk+fjtOnT+td1fY6DK64dDrdoGVjzTAyMtJ7gW8IGSwnJ5i+8Qbqzp+H9YcrQWtn3U2j0aixdF2XM42Y+DHoR7z/1/vY/XQ3/jnin3rN09zcHGq1GnK5HGz2ayyHZnxg7gFg7DogYQ+QehZ4drIpcNVvCtB3POA8HDBtP9e6DVQyoOwZkH8beHkDKE0GQAPxfBPHC2ywdMV+nR5gcrmc2ioSCoWtto60Wm2raDKXy4WKrcIN1Q0MMh+EWeazwGaz4eXlhfLycurV0NBARZStrKzg7u4Oa2trWFpa4sGDBzhz5gxu3bqFyspKuLq6YifLGHU8Hn49GAonZ2ekpKQgJycHrq6u8PLyQr9+/ShiP5VKhYULF6KiogJJSUlUFdPLly+RmZkJjUaDu3fvQqvV/v3XuAwGo1MmhJ7CyMhI75A6nU7vsNVEd2C5eDFK16yB5O498Ca0v//KZrMhk8m6tW882HYwFvsuxqkXpzDaaTTGOPWsQzzQ5PlwuVwUFBR0zP9l5Q7M3AlM2gi8iAaeRwJPjwOPX/XLNXNsYpLk9mnKhWa8CjpqVYC0BpBWAzW5QG0eQLQAzQjgDwUm/Qz4vQMazwHVO3agoaGBKulTq9UQiUStFLT5pVQqKQtoZWWFfv36YcSIEdRebsubX9ooxaq4VdASLcYpx+Fl0Us0NjZSKZb9+vXDmDFjYGNjQwUkJRIJIiIi8OeffyIhIYFKvti+fTvmzJkDbX4+CubMhSAwEEUvXuBZaioCAwMxbdo0mJiYQCQS4eLFi1CpVAgJCUFGRgaioqLAYDDwwQcfgM1m4/z58/jggw8gkUhw8eJFKBQKaDSav7/islgsgwemgCZFkMvl3SYoawkOh2OQXi68iRPAsLOD6PTpDhWXx+P1qKJpbcBaPKl4gh/if0Dk7EjYmvacucLCwgL5+fldE/cZc4Ehi5peakVTk62yFKAyo4nbuDoHkFYBmleF6DR6U3cBjm2TYg+cB/TxA9xGASaWIIQ0bbsUFMDU1BQxMTEghEAoFFJK3KygfD4ffn5+sLa2Bo/H6/AGl8vlKCoqgkAggEAgwF3FXaSZpWE+bz7e6PsGTIeaIioqCiEhIa3OKy0tRVhYGGJiYpCamgoXFxdMmjQJP/74I0aMGEEdp9VqkbFjB8BgINXaGrNGjUL//v2peEVSUhJu3bqF4OBgBAUFUX2jEhISYGRkhISEBPB4PIoA/9mzZ6ivr4eVlRW0Wm2P8wc6gsEV197eHvn5+YYWSymCPrSvzTL0BY3JhOWihajevQfy7Gyw26nAaR6ru2wbxnRjbBuzDe9eeRdf3/0ahyYfAoves6561tbWEAgE3TuJYdzErNgZu2ILAnZCCOrq6lBWVobyB8lU3jKdToeNjQ3l5QwfPpxyUXVZPigUilaKWlNTA0dHxyZa1OEOeJ76HDPcZ+Bfo/7VKhhYXV0Na2tr/PXXX/jPf/6Dhw8fYtCgQZg1axbOnz/fqiigef4vXrzAg6gojHyQAPZbbyFg7BhkZmZiwIABIIQgLi4OL1++xIoVKygKILVajaioKMyePRtOTk5ISkrCw4cPoVAo8Ndff6F///54++23ceHCBWg0GoOwk7aEwRXXycmpXX5afcHlcvXubdMswxA1sJaLF0N4OAw1Bw7AqUVbj9fH6gk8LDywMXgjvrn3DX5++DM2Bm/s0XxtbW1RVFTUozm0h1ZK+moNWVZWBiaTSVUGDR8+HHw+n/I0srKykJyc3GV5ISEEFRUVyMnJQW5uLqqrq6km0ZMnT4ajoyMYDAby6/Kx5OoSuJm54ccRP1LfC41Gg5eXF9avX4+4uDhIpVIsXLgQx44d67CqrKamBlFRUVCpVBgnFkMLwPmT1XDt0wehoaF4/PgxqqqqUFFRgRUrVrTKT8jIyACPx8OAAQNAo9Hw5ptvwsbGBgUFBZg7dy7kcjmOHTsGBwcHaLVag7SFbQmDK66rqyvVjc2Q4HK5eltLBoMBY2NjNDY26s3SQTc3h+V770F46BAUn+bB+LWaTn2t+1T3qcivz8f+1P1wMXPBR4M+6rYMb29vZGZm9mj8nihpe+Dz+YiOjm73YalWqyEQCJCdnY2cnBzQ6XR4e3tj4sSJcHZ2bhOJFcqEWH1zNZhGTPzx5h8wZTbtMDx69AhbtmyhGCe+//57rFy5skPLrtVqkZiYiPj4eIwdOxb+7u7ImzwFZjNmgPWqJHXRokUIDQ2FiYkJ/vGPf7QJ8CUlJWHUqFGtrsnR0RG3bt1CfX09zp07Bz6fj7S0NBBCDEIr3BIGV1xnZ2fcv3/f0GLB4/HaZ/PvgRyJRGIQeh2r5ctQe+IEqvfubWN1uVwuqqqq9JL/8eCPUSQuwu8pv8OUYYol/Zd06/yRI0ciJiZGp2PFYjGKi4spRX1dSUeMGAEHB4dur9mb163Na9vGxkbk5uYiOzsb+fn5sLOzg5eXF5YsWQIbG5sOPYs6eR1Wxa2CUCbEkSlH4GDqgPDwcOzYsQMCgQAzZ87Ew4cPkZmZib59+3aotEKhEJcvX4aRkRFWrlwJKysrVPzyK4hKBdtPP6GOy8vLA4/HA51OR2RkJGbMmEEVzzQnYbxeBWdjYwNjY2Ps378fQUFBVONwOp3+93eVHRwceqVhMo/HM4jb12y5DdEihWFlBesVK1Dzxx+QLVsGkyFDqM/Mzc2Rk5Ojl3wajYaNwRshV8ux5ckWsOgsLPDuuGPB65g4cSKWLl0KpVLZpvu8RCKh1o8CgQBSqZTinOqpknZ0Dc7Ozrh16xbEYjFV9ubt7Y0ZM2bo9ACtk9dh5fWVKKgvwO8TfocgUYB3170LoVCIzz//HGvWrKHk2Nra4tSpU/Dx8Wmzh52Tk4PLly9jzJgxeOONN0Cj0aAsKYXo7FlYzJ9PsTnW1tbi9u3bCAkJgaWlJeLj4xEaGgo3NzcMHDgQjY2NTZ0kXiUbNdcOP336tImHm8FA3759cebMGeTn58PY2Pjvb3H5fH6vdOE2VGDJUHKaYf1BCETnz6Fy8xa4njlNWQwHBweUl5frvZ5mGjGxbcw2rLmzBhsTN6JeUY+Vfit1kmlrawtLS0skJCQgMDAQhYWFKCgoQGFhISQSCVxdXeHm5obAwECqm6ChoNFo8PLlS6SnpyMvLw80Gg2zZ8/GokWLuhVhrZBWYPXN1SisL8THDh9j7by1yMnJwaeffooNGza0eSA5ODjA398fMTExePfdd6nA1YMHD/D48WMsWrSoFUNL1datoNHpsFn9MYCmJUJUVBRGjRoFm1d0NWPHjsWIESOQlpaGtLQ0FBQUQK1WY9OmTdBoNLC1tYWjoyPmzZsHR0dHPH78mFpbx8bGUmWJhkSvWNzeUFxDBKeAJksoEokMMKMmGHE4sPviC5T/sAENV2JgPmsmgLYuoj5g0pnYNW4XNiRswJ6UPaiWVWPdsHWgd9J+UiqVQiAQwNnZGX/88QcCAgLg4uICNzc3BAQEwN7e3uDc14QQlJSUIC0tDZmZmbC2tsagQYMwbdo0HD16FFwut1tKm12bjdU3V6NB3gDOdQ7WXFyDZcuWIS4urlNCwjFjxuDQoUNIT0+Hr68voqKiUFtbi5UrV7Y6T/LgAcTXr8N2zRqq2uvJkyfQarWttooAwNjYGMOGDcOwYcMQExMDKysrilPq9e+xuQyxqqoKAoEApqamBudh6zXF1bcS53U0r031levgPHKyiAAAIABJREFU4NBu93J9YD53LkTnzqNy0yZwRgWD8Ypzic/no6ysTG/FBZqU97dRv8GGbYNjmcdQUF+ArWO2wpLdlPfb2NjYyvVtaGiAq6srgoKC8PDhQ0RERBhcUZshkUjw9OlTPHv2DHQ6HX5+fli5cmWrNi/Dhg3DkydPWjVA6ww3C2/i+/vfQylVQvAfAab6T0VEToROlovBYGDu3Lk4fvw4Hjx4ADs7O4pbuRlapRKVv/wKpqsLrEJWUNdx584dhISEdPld0en0dstX8/PzcePGDSxYsADHjx9HSUkJPD09//4JGFwuF3Q6HSUlJW32zPQBk8mEmZkZampq9ErYNpQL2xI0Oh0OG39Gwfy3UbV1G/ibfms1lqE6FxrRjPD1sK/R16Ivfkn8BfMvzce7pu9CW6pFfX09ZVHnzJmDPn36wMjICMHBwfDy8kJjY6NB1qzNIISgqKgIT548QV5eHrVv2REx3ODBg3Hnzp0uWUhUWhV2Ju3EiRcnoChUwDXVFWejz3Z7O8XCwgIcDge1tbWYNm1aG0tfs+8PKAsK4HzoIIxeudspKSnw8fGhXOSOwOFw2l1uFRQUIDIyEgsWLEBpaSlqampgbW3dxp03BHrlEczn83Hv3r1ekatveZSZmRkIIQbP7mJ7e8M6JAT1Fy9C8iqq3qy4hkJjYyPS0tKgfqbGhKoJkMvl+EP0B2r712LtV2uxePFijBw5Enw+n7IYLi4ucHFxQUREhEHmoFAo8OTJE+zfvx9XrlyBs7MzvvjiC8yaNQt8Pr/DhyGbzUb//v079XZyRDl45893mpT2oQK/j/wdcZFx3VZahUKBU6dOwc3NDQsXLsT58+fx/Plz6nNZWhqEhw7BfN48cEePBtC0RZSUlNRlUzKg7e9KCEFaWhouXLiAd955B87OzkhKSkJaWhpsbGw67BCoD3qlP+7w4cMRGxuLJUu6t33RFZq/sCEtorfdRUsX1tDE7TarP4bk9i2Urf8eHpcvgc/nIyoqSi/rLhQKqX3OiooKuLu7w8vLC9OnT4eGqcGWx1sQkReBlPoUbAjagMG2bTu4T5o0CX/++SdWrlzZ42urrKxEUlISnj9/Dg8PD0ybNg1ubm7duq6goCAcPXoUQ4YMabV8UGqUOJx2GAdSD0AtUcOr0AsRuyLaFkfoAI1Gg4iICNja2mL69Omg0WgUz/GLFy8wdcIEVH23Hgx7e9iv/446Lzc3F2ZmZjpFf/l8PkpLS6kijpiYGAiFQqr3bmJiIrhcLpKSkuDt7Y3Rrx4OhkSvKG5wcDAOHTpkcLl8Ph9Z3SAl7wgODg4oKyuDj4+PAWb1Xxix2eBv3wHBO++g7Pvv4XzgALhcLkpLS3XmmtZqtSgpKaGUVS6Xw8vLCyNHjoS7u3sbl+/XUb/iTZc3sTFxI5b8tQSzPGZhTcAa2Jn+dzmxYsUKjB8/HlKptFv71839cuLj41FdXQ1/f398/PHHPX7g2djYYPjw4YiOjsZ7770HALheeB1bE7eiSlEFZZoSW6duxVuf9qyXLyEEMTExMDY2xsyZM6mHCp/Px6pVq3D79m0krAiBS34++AdDQW+xXfTkyRPdmpKhKd7i4OCAmJgY5ObmYujQoZg/fz4YDAaEQiHu3bsHMzMzmJmZgUajtQl0GQK9orgBAQH4+eefDS63T58+qKioMEiA6unTpwac2X/B9vaC3bffovKXX1B75Ci8vb2RnZ3dqeIqlUrk5eUhOzsbubm54PF48Pb2xty5c3VqCTreZTzecHgDh9MP41jGMcQVxmGB9wKsGLgCNiY2CAwMhKurK37//Xd89913ncoCmhQgOzsb8fHxkMvlGDVqFPz8/PSmDgKaHuovsl7g2L1juCG9gdTqVChLlRhQMwCnfzvdIyvbjCdPnqCkpAQffPBBm/uDwWBgmESK8pwclAePRMzjxxiiVCIwMBAcDgeFhYV49913uxxDJBIhKSmJYph8//33KZ4srVZL7RN//vnnGDZsGPLz8+Hv79/ja+oIvaK4gwcPhkgkQkNDg0HdUTabDR6Pp3eAis/n48qVKwYNULWE5XuL0fjkCap27EDf337F1fJyTJw4sdUxDQ0NlFUtKiqCk5MTvL29MW7cuB7R23KYHHzh/wXmec7DgbQDOPXiFM5mn8UczzlY6L0Qq1atwp49ezpVXI1Gg+fPn+PBgwdgMBgYNWoUfHx8DBaNVmqUuFl0E7G2sXgpeAmIgcabjTjwyQFMelO/5mcFBQW4d+8ePvjgg3ajvfLsbFT8+98wfeMNjA8NxeD6eiQlJeHgwYNUoX1ycjLVab6ZmVEmk6GiooJK+2xsbMTgwYPx4YcfIioqCsXFxZTiPn78GDQaDWZmZnj+/DmGDBkCgUDQK3TFtG7Sweh8sLu7OzZu3GjwdW5kZCT69u2r1zqXEIK9e/finXfe6ZXAAQBopVIIFi2GqrICN6dMwaK1a8FisZCRkYH09HQIhUL069cPXl5e8PT0NDgzZlFDEQ6nH0ZMfgyUWiWG2g7FzV03ceCbA5g1qTVflkqlQkpKChISEmBpaYlRo0ZR7IT6ghCCHFEOLuddRnReNOoUdbBj2CH7RDa8NF6IiYrRm1xQLBYjNDQU8+fPb9X/qBmqqioI3l0IaDRwj7wARosm3xqNBrdv30ZxcTHs7OxQWVkJpVJJsXQaGxvDzs6O4nVurngCmuIPYWFhWLp0KZhMJsLCwrBy5Up88cUXVPM7QgguXrzYncvR6UvvNcVdtGgR6HQ6Tp482R35XSIhIQF1dXWYPn26XnKuXbsGNpuNsWP153fqCMriYhS8/Q6kdDqS58+DUKWCl5cX/Pz84OHhYRDXsyuI5CJcfnkZ53LOoVhcDGiA0S6jMc55HAJsA1CVXYUHDx7AyckJo0aNMkjfJ7lajrTqNNwruYdbxbdQLC4Gw4iBCc4TwHjBwL5v9+Gf3/8TNjY28Pb2xpgxPScMIIQgIiIC9vb2mDBhQpvPtTIZCt9fCkV+PtxOngC7nY55ly9fhqOjo85r3JbIyMhAbGwslaDh6+sLJycnfPXVV4iLi8OMGTOwfv367ojUSXF7xVUGmhLcD7/qdmZIuLq6IqUbzbc6gre3N65fv94riqvValFQUID09HRUjxyJoOvX4RcVjSGXL4HdC25TZ7BkW2L5wOVYNmAZbr+4jWWbliFzaibulzZtWfHAg7+fP8wdzJFH8kDEBPam9jrVABNCIFFJIKgX4GXdS7yse4nU6lRkCDOg1qrBNGJiuMNwrBi4AuOdxuO7z79DZGQkzkacxYwZMyAWi3H06FGYmJjotA3THtLS0lBXV4cFC9rmcBOVCqVffQ15Ziac9u5tV2mBprY5PVFaAPDy8sLt27dRX18PFouFdevWwcfHB3Q6HTKZDG+88UaP5HaFXlPcwMBAbNy40eBy+Xw+5HI5amtrO+w/qwucnZ1RV1dnsHU4IQTl5eVIT0/H8+fPYWZmBj8/P7y58Weop01F2RdrULpmDdwP/nfD/38JGo2G8b7jMQ7j8GzzMyxfuxwcXw5eKl/iec1z3E252+p4a7Y1bExsYMo0hQnDBCw6C2qtGiqNCnKNHLXyWtTIaiBT/5emiGXEgq+1L97v/z4C7AIQYB8ALosLkUiE6ROno7KyEo8fP6aqang8Ht5//32Eh4eDyWR2e/kjFotx/fp1LFmypI33QjQalK37DpJbt2C/4YcOmUqApvTQnhAIqtVqnDt3Do6Ojpg/fz5Onz6N48ePY/Pmzaivr0dtbW2vBKaAXlTc5gCVvgr2Omg0GkXYFRQU1GM5dDodnp6eyMnJ6fHTFmiKMqanpyM9PR0ajQZ+fn5YtmxZ6+ybyZORuWgRLE+fRulnn8Nxz24Y9UK3h85QVFSEGzduwN/fH1FRUfC288bMoJnU52KlGLmiXBQ2FKJCWoGKxgoIZULI1DJIlBIoNAowjZhg0plgM9gYaDMQNiY2sDWxhYuZCzwtPOHEdWqTP/38+XNMnz4dffv2RVpaWpusKUtLSyxZsgQnT56EUqnsloWKjY1FQEBAm71XotWi/Mcf0fDXX7D96ktYvdp66ghtiNt1gEKhQEREBLhcLmbPng06nY4nT57A398f9fX1KCsrA4/Ha5X2aVA0s7jr+OoWAgMDyYYNG7p7WpfIysoi4eHhest5/vw5OXXqVLfPk0ql5PHjxyQsLIxs3bqVXLlyhRQVFRGtVtvhObW1teTMihCS6e1DCld+SDRyuT5T1xmVlZXk9OnTZOfOnSQlJYVoNBqyfv164uvrSzQaTa+O/eeffxIzMzPy2WefdTlWbW0t2b17N7l9+3an32MziouLyY4dO4hSqWz1vlalIqXfriOZ3j6kavceneb522+/EZlMptOxhBAiFovJwYMHSXR0NHVdmZmZxNTUlNy8eZNs27aNTJo0iaxcuVJnmS2gky72quJu376d+Pn59WTynUKpVJLffvuNNDY26iVHJpOR3377jSgUii6P1Wg0JDMzk5w5c4Zs2rSJnD9/nmRnZxO1Wq3zeKdOnSKpO3aQTB9fIli6jKjr6/WZfqeQy+UkNjaWbN26lSQkJBCVSkV9JpPJiJOTE/n3v//da+MfP36ccDgccujQIZ3PaWhoIGFhYeTo0aNEKBR2eJxWqyXh4eEkKSmp1fsauZwUrf6kSWn37dPpAUAIIVu3biVisbjL47RaLUlLSyPbtm0jd+7coeRrNBoyZMgQsnTpUnLhwgXy+++/Ez8/P3L16lWdxn8N//+Km5OTQzgcTqubxlA4c+YMSU1N1VvOyZMnybNnzzr8vKGhgdy5c4fs2LGDHDlyhKSkpBB5D61lTk4OOXjwIKmLiiKZA/1I3sxZRFlW1tOptwutVktSU1PJjh07yKVLl4hEImn3uLi4OMLhcMiLFy8MOj4hhISGhhIOh0POnTvX7XM1Gg1JSEggW7ZsIYmJie0qX25uLvn9999bWXG1SEQE7y8lmd4+RHjiZLfG3LlzJ6mtre30GLFYTCIiIsi+fftIaWlpq882btxIHB0dSVVVFdm0aRNZt24d6dOnT7eseAv8/ysuIYQ4OzsbxK19HcnJyeT8+fN6y8nKyiKHDx9u9Z5WqyUFBQXk3LlzZPPmzSQ6OppUVFToPZZGoyG7du0iRUVFRJKQQLICAknOmLGk8flzvWUTQkhFRQU5cuQICQ0NJcXFxV0ev2zZMjJkyBCDusx79uwhXC6XXL58WS85NTU1JCwsjBw5cqSV9dVqtSQ0NJRkZGRQ78nz8kju5MnkxUA/UhcV3e2xjh07RrKzs9v9rKWVvXHjRhsjlJ2dTTgcDrl27Rq5ffs2OXz4MJk7dy6ZPn16t+fxCn8Pxf3qq6/ImDFjenoRHUIsFpPNmzd3y1VtDxqNhuzcuZOUlZURmUxGHj16RPbu3Uv27dtHHj161GPr2hGSkpJIeHg40Wq1RJaVTXLGjScvBg0mosg/eyxTJpORq1evkq1bt5LHjx/rrIiNjY3EycmJ/Pjjjz0euyV27txJuFwuiY2NNYi8ltY3NjaW1NTUEIFAQPbu3UtZYvG9eyQrcBjJHhlMpMlPezTO9evXyZ07d9qMnZ2dTY4fP96ulW0+ptlFlkqlZMuWLWTnzp3E399fH2Olky72WlS5GXPnzkV4eLjB5XK5XNjZ2SEnJ0evelcjIyN4e3sjMjISUqkUffv2xYwZM+Dq6tor6ZBDhw7Fw4cPkZ+fj77eXnCPvIDSL79C+fffQ5aaCvvv1+sccSaEID09HXFxcejXrx9Wr17drSICExMTnDx5EjNmzEBQUBCmTp3a08tCaGgoNmzYgMjISEyePLnHclrCyMgIQUFB8PX1RVJSEo4cOULRsGqVSgj37oPw0CEYe3vD+Y99YL7WW1dX8Pl8pKenA2jaGkpJSUFycjJMTU0xbNgwDBw4sN2o84cffoiGhgYcOHAA9+/fh4uLC16+fInS0lK9E4S6hK4aTnpocdVqNeHxeCQ+Pr6nT6AOkZaWRo4fP96jc1UqFUlLSyNhYWFk+/bt5JdffiHV1dUGnmH7yMjIIAcOHKCshlalIpXbt5NMbx+SN3MmkWVmdimjvr6enDp1iuzfv18nt7gz7N69m1hYWJCXL1/26PyjR48SDodDoqKi9JpHV6itrSW//vorObZ9O3kwZizJ9PYhL7/6iih0CCx1hpKSErJlyxby559/ks2bN5NLly6RkpKSTs/Zs2cPsbCwIDk5OaSuro5s2bKFnD59mixZsoT4+/vrMx2ddLHXUh5bYvHixVCpVDh//nxPTu8QarUau3btwvLly7tkLWhG/avk8pSUFNjZ2WHYsGHw9vbGxYsX4ejo2CslWK+DEILDhw8jKCgIAwcOpN6X3L+P8u//CXVdHWw//wzWK1aA9tqTnhCC1NRUxMXFYdiwYRg9erRBUidDQkJw9+5dpKWldctqnzt3DiEhITh27Bjmz5+v9zw6w93bt0G7Hgf7a9egBVA5bx6ybKwhFAphY2MDBwcHik7W0tKS6hxJo9Gg0WioHreVlZWt+KJlMhnUajWCgoIQHBzcZe707du3qc4I06ZNw+XLl8FisZCSkoKoqCjMnTsX69at6+ll/v/mKrfExYsX8dlnn6GkpKQnp3eKmzdvQqVSdermEUKQl5eHpKQkFBUVYdCgQQgMDGyl7EVFRYiKisInn3zSKy7y68jPz0dMTAxWr17dSvHUIhEq/vUTxNevw7i/Lxx++gkmgwYBaKoounLlChoaGih6GkNBo9EgODgYxsbGuHXrlk4Pg5SUFIwZMwZ79+7FsmXLDDaX9qDIL0Dyyg9gWVYOzsiR6PPzz2A5NbnGzRSpLZWxvr4earUaarWa+j0ZDAZYLBZsbW0pJefz+bC0tERcXBxoNBomTeq8SiknJwdBQUH49ttvsW7dOlRXVyM8PBwBAQFISkrCtm3bEB8f32Xnhk6g282nq2kmPXSVCWlKWOBwOOT+/fs9FdEhRCIR2bJlS7t7sWq1mqSkpJC9e/eSAwcOkOTk5A73bLVaLTlw4ECvbI90hBMnTrS7hNBqtaT+6lWSM3oMyfTxJWU//ouk3L1Ltm7dSm7fvq13QK4j1NXVES8vLzJ16tQuA1zV1dXEwcGBfP31170yl2aoGxpIxZatJHPAQJLqN4jUXrig8/4sIU3fpS7BOqFQSLZu3domoaMl8vPzib29PVm1ahUl+8SJE+T+/ftk69atZNmyZaRfv346z60D/D2iys347LPPSHBwsD4iOsTp06dJcnIy9bdSqSSJiYlk586d5NixYyQvL0+nHzsrK4vs27ev1zOKmlFbW0u2bNnS4dpaLRaTwn/9i2T4+JI0v0Ekf9s2otEz6aQrVFdXEw8PDzJ9+vQOHxBqtZoEBASQKVOm9Np3pVUoSO2ZCJI9Mphk+viSpyEfkNgzZ3plrGacOHGiwz39vLw8wufzybJly6j3kpOTSWhoKLl79y7ZtWsX8fHx6VbCSQfQSRd7h6+zHXz66ad4+vQpGhoaDC67mfpTJpPh3r172L17NwQCAd5++20sXbpU59pSLy8vsNlspKWlGXyO7cHS0hLjxo3D5cuX2224nVNcjLMcDoQbfoB5cDDkh8OQN3kKak+chLYXehADTfQyiYmJyMnJwZQpU6BUKtscs2zZMojFYly8eNHw3MwqFUTnzyNv2nRU/PQTWC4ucDt3Dk9HBsGzhxVEumLYsGF4/Phxk0VrgRcvXlBR9yNHjgBoipXcvHkTU6dORWJiIkpKSlBaWopFixb16hwp6KrhRE+LSwghwcHB5OOPP9ZXTBvU19eTTZs2kU2bNpGLFy+SqqqqHssqLCwkO3fu7JVsr/bQnL734MED6j2VSkViYmLIrl27WkWMpUlJpGDxeyTT24dkjwgiVfv2EbVI1CvzEgqFZODAgcTPz4+Ul5dT72/bto1YWlqS/Px8g46nbmggNUeOktwJE0mmtw/Jn/82Eb9KK5RIJGTTpk29/ptoNBpy8ODBVqmU0dHRxNzcnHzyySfUe1qtlhw/fpzcvXuXXL9+nYSFhZExY8a0OkYP/L1cZUIIuXjxIrG3t9dXDIXa2loSHR1NNm/eTI4cOUKOHTtmELmnT58mDx8+NIgsXdDSZa6pqSEHDhwgZ8+e7TBlTpqURIo+WkUyvX3Ii0GDSem33xJpcnK31n66QKFQkNmzZxM7Ozvy8OFDEhsbSzgcDomLizPYGLKsLFL+80aSNdSfZHr7kIL33iMNt261upYXL16Qkye7l8bYU1RWVpKtW7eSuro68uuvvxIOh0P27t3b6pikpCQSGhpKxVc2b95MLCwsSFZWliGm8PdTXJVKRaytrUlERIRecioqKsiFCxfIli1byI0bN4hEIiEqlYrs2rWLFBYW6jtNUlFRQbZt22bwrKnO8OjRI7J7924q+0kXJZRlZZOyn34iWf4B1B5w9f79RFFQYNC5bdiwgZiamhIOh0N27typtzxlZSWpOXqU5L01h2R6+5DMgX6k9Nt1HaZ+3rx5k9y8eVPvcXXFrVu3yPjx44m1tXWbjKrmIFZFRQWJiooi4eHhZPHixSQoKMhQw/999nFb4ueff0ZkZCRSU1O7fW5RUREePHiAsrIyDB8+HIGBga1YAVNTU5GcnIwVK1bovaVz6dIlmJubY/z4jguwDQWlUomrV68iMzMT7u7uVLMqXaGVSlH/11+o//MiZK/YQYz7+4I3YSI4wSNh4ufXZj+4O9BoNHB3d0dlZSWmTp2K8PDwbtWZEkKgyMmF5PZtiG/fgjy1KYbAHjgQ5nPmwGzGdDA6kXfq1CkEBAQYnE63PTx8+BBLliyBkZERdu/e3SoDSqFQICwsDIGBgfDw8KAyuXbv3o09e/Zg3rx5hpjC/2YfV6VSoaSkBHK5XCcBGo0GpaWl4PP5Ohcvq1QqKBQKaLVaGBsbg8VitXtjE0IgkUjAZrO71VyqPWi1WojFYqqliqHAZrPh5OREza+qqgrnz58Hn8/HpEmTcOLECfj7+2P48OE9kq8qL0fDtWsQX42FLC0NIARGZmbgDB8OkyGDYTJ4MNgDBsCoGwRtX375JaKjoxEXF4fly5fj+fPn2Lt3LxYuXNju8Vq5HIrcXMhSnqExKQmNSUnQvOptzB40CLwJ48GbNKlNM/D2QAjB9u3bsWrVKoMT2LeESqXC2rVrcfToUaxevRpff/01lQ7q4+MDQghVOD9jxgycOHECRkZGyM/Px549e1BZWdntYvwO8L/hnCopKQGPx+sWq32zlfT09OzwGEIIFAoFxGIxCCHgcrkwMTHpcgy5XI6GhgbY2trqbXUlEglkMlmnDZe7A0IIhEIhSkpK4O7ujszMTMTExGDSpEkUbcvChQsRFhYGW1tbeHh4dHsMpoMDrJcvh/Xy5VCLRGhMTIQkPh6Njx5DHBfXdBCdDparK1ge7jD26AuWmxsY9nZg2NqCaWcHI3Nz6nqTkpIQGhqKW7duwc3NDXfu3MH+ffvwzT/+gWtHj+Knzz6HuUIOZUkJVEXFkGdnQZlfALyKkjP5fHBHj4bpG8PAGTUaTPvu0eo2t4rpCbWMrrhx4wZWrVoFJpOJ+Ph4DB06FEAT4eGpU6fAYDBQVFQEuVyOBQsWIDk5GXK5HHV1dfjzzz/x6aefGkppdYbeFvfFixfw8fHp1o3d2NiIrKws+Pn5tWsZlUolGhoaoNVqwePxwGazdZbfrBympqYwNTXVeU6dyWKz2QZrmEUIQVZWFiorK5GSkoJ33323TQc6gUCACxcuICQkxKC0P2qhELK0NMjT06HIzYUivwDKwkJArW59II0GmokJjNhslNUKYco2gaWFBYhGDaJQQisWA6/fN0ZGYPbpA2Nvbxj7eIPt4wuTgQN6nPjfjOLiYly7dk2v9ikdITk5GWvWrEFqaio++eQT/PLLL228q+LiYpw6dQp0Oh2rV6+GUqnEoUOH4OnpieLiYvzzn/9EQUEBbFtQvuqJ/x3LY3etkampKczMzFBQUNCqoZNKpYJYLIZSqQSPx4OpqWm3ZdNoNPB4PNTV1elkobuSZWFhgZqaGhgbG+vtfgNNiiuVSpGXl4cPP/yw3QeCm5sbxo4di4iICKxYsUJv3uFmMKytwRs/HrwW63aiUkFVVgZ1VRXU1dVQVVVB29AAbaMMD27eRHlNDd6aPAlGTCZoRnTQWCzQzc1BtzCHkZkZXtaK8HPoAcRnZWHVW7Pxww8/dCvXuSuIxWKDW9ucnBx8+eWXuH37NhYuXIjLly93+ICk0WjUPRQfH4+ysjL4+/vj6dOnCAsLw9dff21IpdUdukaxSAdR5UwdKlnag0wmI8nJyUQmkxGVSkVEIhEpLy8nYrHYINk4NTU1OtGR6AKxWEyqqqr03m5RqVSksrKSJCUl6bQnef36dRIaGtpTJgW98OTJE2JqakoSExN1Ov6vv/4igwYNIlwulyxcuNAg7CSENEXbr1y5orccjUZDzpw5Q4KCggibzSZz5swhBV1E38vKysi2bdtIdnY2kUqlJDQ0lPzyyy8kPDycbNq0iZibmxvsHmuBv1fm1Otgs9mwsrKCQCBATU0NjIyMYGdnBy6X2+1snNjYWHh7e8PT0xObN28G0NR5XiKRQKVStTk+Ozsb48aNw5AhQ+Dr64uPPvoIQBMz/fjx48HlcvHpp59Sx3M4HPz2229wdnbuscusUChQU1NDufC6rInefPNNODk54dSpU1AoFD0atyfQaDRYsmQJVq5cqXOQbNq0aVTVklwuR1BQEAICArBv3z7U19f3eC76WtycnBx89dVXcHR0xNq1axEcHAyBQICLFy/Czc2tw/Oqqqpw+vRpzJgxA15eXlAoFKirq4Ofnx8KCwsRHh6Of//73wbtOdwt6KrhxMAWl5CmDf5nz56Rej1I09RqNfHw8CB5eXlEoVCQQYMGUbQmHVnKyZNcgpC5AAAgAElEQVQnk0uXLlF/p6WlEUIIkUgk5P79+2T//v1tsmDu379Pnj17RjgcTrfnKJFISHl5OWU5u/OdabVaEh0dTQ4fPvw/s7xr164lnp6enSbcd4Xa2lryww8/EG9vb2JsbEwCAgLIhg0bSF5eXrfkXL58uQ0pXGfQaDTkxo0bJCQkhLi5uRETExMyevRocurUKZ09ufLycrJ9+3aSnp5OCGm6x44cOUJu3bpFtm/fTn766Sfi6empE8lgD/D3trgAwGKxYG1tjaKioh7LePz4MTw9PeHh4QEWi0WtWYAmS0mj0SCVSludU15e3qrVhp+fH3X8qFGj2u0YN2rUKHh5eYEQAo1Go9PcCCGor6+HVCqFjY1NjzrR0Wg0zJgxA3w+H8ePH4esl3KUm5GRkYHQ0FCcPHlSrzW9paUlNm7ciKysLOTl5eHtt9/GzZs3MWDAANjb21Md7SIiIlBdXd2hHI1G06F3otVq8eLFC+zbtw9Lly7F0KFDYW5ujnfffRe1tbX49ddfUVtbi3v37mHx4sU6eXKlpaU4efIkpk2bRtVKX716FcbGxqitrUX//v2xb98+/PTTT73SaV5XGDSG/e/oDGSWda+IgLwK1rDvitr9gfrzzfCvWQM6PL+0tBTOzs7U305OTnj06BGAjoNLa9euxYQJEzBy5EhMnjwZK1as0KmjWnOwSyQSwdrautPAFyEEdXV10Gg0sLGx0SsZn0ajYerUqbhx4waOHDmChQsXwtrausfyOsMXX3yBOXPm9HgfuT04Ojriu+++w3fffQelUomEhATcuXMHycnJiImJwdKlS0Gn02FhYQErKyvY2trC2toaLBYL9fX1MDY2hrGxMWQyGaqqqlBTUwORSIT6+nqw2Wz07dsXfn5++OCDDzB+/Hj4+vr26PvOzs5GVFQUZs+eTdXTPnnyBIWFhRgzZgzu3LmD4uJiWFhY/O+KCTrA/3bzqR3QaDSwWCwoFIpe2QtjMBjgcrmoq6uj9mNXrFiBKVOmIDY2FpcvX0ZoaChSU1N17phHo9FQX18P8xb7nS2h1WohEokAAFZWVgapoGku8ra0tMTRo0cxd+5c9NUhgaE7iI+PR2JiIl6+fGlQuS3BYrEwbtw4jBs3jnpPq9WitLQU+fn5EAgEKCwsRFVVFbUtyGKxYGFhAQcHB4wZMwYuLi5wd3dH3759DdIpgBCC+Ph4PHnyBIsXL6baZgoEAty9exeLFi1CREQEZs+ejWHDhuHMmTMGr4rqLgyqKZ1Zxs6g1WqRnp4OW1vbNnuaXcHR0RHFxcXU3yUlJdQX3wwOhwO5XA6pVEoFE/h8PkJCQhASEoKBAwfi+fPnCAgI0GlMS0tL1NTUoLGxsc3Wh0ajQW1tLZhMZoeKrQ8CAwNha2uLCxcuIDg4GMOHDzfYGF9++SWWL1/ea61HO4KRkRGcnZ3h7OzcpgnbxYsX4eHhgcGDB/fK2CqVCpcvX0ZdXR0+/PBDKhAmEolw4cIFzJs3D48ePcKAAQPw7bffwtfXVy9SPUPh//ex8QpGRkZwd3dHRUVFt6Onw4YNQ25uLgoKCqBUKqknIwCsX78eFy9epFzm5ihzbGwsFW2uqKiAUChso+xdzdfKygpisbjVfNVqNYRCIYyNjXtFaZvh6uqKDz74AM+ePUNUVBTUrydQ9ABRUVHIzc3Fb7/9ZoAZGg50Ot0g19ce6uvrcfToUdDpdCxfvpxS2ub7aPTo0ZDL5SgtLQUhBNevX8eJEyf+J9RGXULXKBbphajy6ygoKCDPe0AOHhPzf+2deVSTV/rHv0lYAgEEAgFkX8Mgm4jLuAGiaB23cSliR6fqGa3H1tns9Hfase3U2kWpp7VUra1T1CkKta60dUEULS6soggkbIIQwha2EJKQ5P7+cPIOkS1A2DSfc3JOCC83by75vve+9z7f5/mJeHt7Ew8PD/Lhhx9Sr//ud78jt2/fpn5ub28nQqGQ/OUvfyE+Pj4kMDCQBAYGkhMnTlDHuLq6EisrK8JisYijoyO1Qv3mm28SR0dHQqPRiKOjI3nvvfeIVColNTU1RC6XE7lcTu1D94eu+kwmk5HExETy9ddfk9ra2kG3o1QqCZfLHZY6T0MlJSWFpKWl6bzdgoICEhsbS9LT0zV2HRQKBUlISCDnzp0jQqGQ7N27l5SXlxMOh6MTZ5QWjIytT5fCVeeI6in59GCIiorq9lpzczNpaGjQmXe1vb2d1NTUkJqaGq1rGemyz1QqFcnMzCSffvopuXnz5qCCV44ePUrs7OyGa3tjSOgqAENNe3s7OX36NDlw4EA3C6hSqSRJSUkkISGBtLa2ki+++ILk5eWRFStWkNDQ0JFKaTT2t4OehcFgwMPDY1BT5p64fPlyt9fUDhNdpdBhMBhPr4CATkIiBwqNRkNoaCi2bNmCx48f4+jRo6irq9P675VKJd577z288847o7q90RtmZmYQi8U6aauwsBCHDh2CmZkZXnvtNbi4uFC/U6lUOHfuHGQyGVauXIkzZ87gN7/5DWpra3HlypUxsSDVlVFfVX4WCwsLWFtbo6SkBJMmDW6xqy9oNBqsrKxQX18PQ0PDIRkRZDIZmpqaYG1tTd3fstnsEXeKAIClpSX+8Ic/IDs7G/Hx8ZgxYwZmzpzZ77ns27cPhoaG2L59+wid6cAwNzenHEKDRSwW4/LlyxAIBFizZo2GYIGnor1w4QLa2tqwbt06XL16FYaGhpgzZw5cXV2xZ8+ePp1so8HYuYR0wdnZGZ2dnRAIBMPSvnpxqbW1ddAju1QqRVNTE6ysrGBsbAwWiwUzMzM0NjYO22JKf3QdfaurqxEXF4f79+/3mIgOePqF/fLLL/Huu++OqdGkKxMmTEBTUxM1qxkIUqkUqampOHjwICwsLLqNssDTGcfZs2fR1taGmJgY5OXloby8HCtXrkRMTAxcXFywY8cOXX0cnTHmRlzgf1PmkpISsNlsrfdXB4KhoSEsLS3R1NQEGxubAY2Sai+mWrRq1JFaDQ0NYLPZozJ1BkAFCKir0N+5cwfz5s2Dj4+Pxoro2bNnoVAosGHDhlE5T21Qr/S2tbVpbaRXKBTIzMxEeno6vL29sWXLlh4DbBQKBX788UcolUrExMSguroaN27cwMaNG3Hr1i1cuXIFeXl5Y/KiNiaFC/xvyszn8+Hv7z8sS/Bqn61IJNI6ukkdbG5tbd3jPaF66t3Y2AhLS8tBhTnqChcXF2zcuBF8Ph/Xrl1Deno6IiIiqKQHn3/+udahgKMFjUbDxIkTIRAI+hWuQqHAw4cPcePGDTg4OGDDhg3gcHo27ovFYiQlJcHc3ByrVq1CU1MTfvjhB/z+978HIQRr167FRx99NOamyGp0YqQfSrW8vlDHohoaGmr4dnUJIQStra2Qy+Vgs9l9fonV97TPjrQ9IZfLIRKJYGZmRo3Eaoazz3pDpVLhwYMHSE9PB41Gg5OTE6Kjo1FeXj7iARcDJTU1FQAwb968Hn/f3NyMrKws3L9/H3Z2dggPD9cIg32WmpoanDp1CpMnT0ZYWBhEIhGOHTuG+fPnw9/fH1wuF8HBwUhKShqNPduRKUGiy62NnpDJZCQ3N7fPinS//PIL8fHxIZ6enuTjjz/u8Zi0tDQyefJkwmAwuhXEVqlUpKmpidTX12ss+R89epTKLezn50e+++47IpVKSVJSEvHz8yM0Go1kZmZSxzc0NJDw8HDCYrHI9u3bSWdnJ6mrqyMikUij3eHus75QqVSkrKyMLF26lEyZMoUkJyfrpGj3cNJTelaVSkX4fD5JSEjQqJ/bHw8fPiR79+6l9udFIhHZv38/VQlj0aJFxN/fX+utvWFAKy2O2amyGiMjI3h7e4PH44HFYnWLTVUqldi+fTuuXr0KJycnTJ06FcuWLYOfn5/GcS4uLoiPj0dsbGy396DRaJgwYQJaWlogEolgbW0NgUCAPXv2ICcnB6ampqisrERnZyeMjY3h7++PM2fOYOvWrRrtMJlM7N69G/n5+cjPz4eBgQHYbDZaWlrQ2NgIa2trnSaeGwzq0fbWrVv47rvvwGKx8P3338PCwgJcLhdcLlcn+bp0ibOzM7VVIxAIwOPxUFRURNWvXb16db/rCYQQXL9+HQ8ePMD69ethb2+P5uZmHD9+HLNmzUJISAh27dqFjIwMPHjwQGdZR4aLMS9c4Omij6urK8rLy2FiYqJx39jV1geAsvU9K1y1abq3qfCz4hUKhVS+q8bGRkycOJH6Z/Y2zVXbArsG6dPpdCrcsr6+Xqc5pAbLt99+C2tra6xYsQIAMGfOHFRUVIDH4yEhIQE0Go0SsYuLy6hebKRSKcrLy8FgMPDZZ5/B1tYWPj4+WLt2Lezs7LS6wEilUpw7dw4dHR3405/+BBaLhcbGRpw4cQIzZ87EtGnTcP78eezfvx+pqakDCn8dLXQr3F/+DxA+1GmTsA8AXvoEbDYbEokEPB4P/v7+1JepL1vfQOkqXicnJ3A4HHh6eiI8PBzR0dFYunTpoNs1NzeHoaEhRCIRpFIpFArFqOz3AsChQ4ewadMm6mf1Kr6HhwcWLVqEuro68Hg8pKSkoKGhAfb29nBwcKBKU/a3FjBYeiqXKRKJ4ObmBmdnZ5iYmGD58uUDarOkpAQXL14El8vFmjVrwGAwUF9fjxMnTiAsLAxTpkxBaWkp1q9fj4MHD+rUzjicjIsRV42TkxM6OjrA4/G6jai6Qi1eGo2G+Ph4FBUV4d69e/jrX/+K7OxsvP/++4Num8lkwtbWFlVVVThy5AiWL18+4lf3rKwslJWV4c9//nOPv6fRaLCzs6PM7h0dHZSIiouLkZaWhvb2dtjZ2cHS0hJmZmYwNzeHubk59dzExAR0Oh10Oh00Gg0qlQoqlQpKpRISiQRtbW3UQywWQywWo7GxUaNAtaOjI0JDQ2FnZwcDAwMqlQwhROtR9vLlyygvL8fy5cupGVlVVRUSExMxf/58BAUFQSqVYs6cOdi8efOw1/jVJboV7kuf6LS5Z6HRaPD09MSjR49QVlYGDw8PrWx9g0GhUMDQ0BB+fn6YPXs2FixYgI0bNw5JuMDT0Y3FYmHu3Lk4efIkgoODER4ePmKj7+HDhxEZGal1riQTExNqNFbT0dGB2tpatLS0QCwWo6WlBdXV1ZQYpVIpJVaVSkWJWP3Z1QI3MzODlZUVXFxcYGlpSYm0J2xtbUGn01FTU9Ov9VM9ynp7e2Pbtm3UDkBeXh6uXLlCGeVVKhVmzpwJLpfb49rHWGZcjbjA0y++j48PioqKUFFRoWHrc3R0xKlTp5CQkDCgNn19fVFUVATgf5krampqIJPJMGnSJIhEImRkZMDV1VVnn8Pf3x9ubm746aefRnT0vXbtGj788MMhtWFiYtJnorXhgEajISgoCNnZ2b0Kt7dRVqVSISUlBUVFRXj11VepdKoRERGQSCRITU0d9UXDAaPt8jMZpe2g3pBIJCQnJ4dUVlb2auvbtWsXOX/+PCGEkIyMDOLo6EhMTU2JtbU18fPzI4Q8LeTs4+ND/U1zczOpr68nZWVlJCIignC5XBIYGEjmzp1LcnNziUqlImfOnCGOjo7EyMiIcDgcDRdSb7bArnTtM5VKRR4+fEj27dtHzp07R5qbm3XeV2r4fD4xMTEZlXSvuqCtrY188skn3c5foVCQjIwMEhsbSy5evKhRrK2jo4P85z//IceOHdPY4lmwYAHx8PAYUknWYUIrLY7pAIz+UC9W2draaiR/GwjJyckoKyvDjh070N7eTiV2e3bxpWs6GisrqyEtzvTUZ1KpFOnp6cjOzkZwcDBmz5495EoMz/LPf/4TaWlpuHXrlk7bHUlOnz4NZ2dnTJ8+HYQQ5Ofn4/r167C2tkZkZCQcHByoYxsaGnDq1Cl4enpi4cKF1P9s6dKlyMvLQ0ZGxlgMPhmZol+jKVwAaG9vB4/HA4fDGbR4gf9FRfUVt0z+G2UllUphbW096Fjkvvqsra0NaWlpKCgowIwZMzBjxgyd2e1CQkIQHR2Nt956SyftjQYVFRVITk5GVFQUNcWNjIyEu7u7xnHFxcU4d+4cIiMjERISQr2+bNkyZGVlISMjY0jfl2HkxRAu8FS8fD4fbDa7m/tDGxQKBRoaGrSOLZZIJGhtbe0xnFEbtOmzxsZGXL9+HRUVFZgzZw6Cg4OHJOCmpiY4ODigrKxswHm9xgqEEDx+/BinTp2CkZERFi9e3K1ulVwux9WrV8Hn87Fq1SqN70NUVBQKCwtx586dsSpaYCRrB402LBYLXC4XPB4PhJABLSKpVCoqplhbQ4CpqSmMjIzQ3NyMjo4OWFpa6twJxGazsXr1aggEAty6dQs3btxAQEAAlSxuoCQkJMDT03NcilYmkyEvLw9ZWVkghGDy5MkoLi4Gl8vVEG15eTkuXLgANzc3bNu2jfp/qlQqRERE4MmTJ8jIyNCYTo9XngvhAk/F5OvrCx6PB6VSqVWJSvLfFWQjI6MBF6pShzNKJBI0NjYOevTtj4kTJyI6OhotLS3Izs7G8ePHYWNjg6lTp4LL5Wq9Gnr27FlERUXp9NyGm9raWmRmZuLRo0fw8PDA4sWLqYuyutrhlClTNEbZJUuWwNvbm2pDLpdj1qxZaG1txb1790anQNcw8FxMlbsilUrB5/PBYDDg6+vb5xdbvec41Pq3CoUCzc3NIIRoNfoOpc+USiUKCwuRlZUFkUiEyZMnw8/PDxwOp9fPoFQqYWlpiZs3b1K1X8cqEokEfD4fubm5aGpqQkhICKZMmdKtflB1dTUSExOxdOlS/Pzzz3Bzc8PChQs1Zk2VlZWYPXs2nJyckJycPCbCTbXgxbnHfRalUonS0lJ0dHSAy+X2OAXu6OhAa2srbGxsdLKHRwihooLUQQa9CUlXfVZXV4ecnBzweDwAgI+PD7hcLlxdXTU+U0pKCl555RXU1tYO+T2Hg4aGBvB4PPD5fNTW1sLd3R0BAQF9zigkEgm++eYbSCQSrF69WmOUBZ7mG3v55Zexbt06HDhwYNSSGgwCrYQ7dh3UA+DZan0MBgPe3t5gs9koKCiASCTC/v374efnh8DAQMybNw/5+fmwsrLqU7T//ve/ERAQgMDAQPj7+1M1iX744QdMmjQJdDodWVlZAJ4GCEilUqxduxYODg7YvHkzJBLJoFKuaAuHw8GiRYuwY8cOxMTEwMzMDKmpqYiNjcXp06fx4MEDapV6LF1cOzs78fjxY1y5cgVxcXE4fvw4mpqaMHv2bOzcuRPR0dHw8/Pr8X8jl8uRlpaGuLg4uLq6wsDAoNttzp49e7By5Urs3bsXhw4dGk+i1ZpxP+IqlUr4+Pho2PpOnjxJxTI3NjaioqICJSUlWLJkCZhMJmJjY5GRkYHTp0/32m5VVRXCwsKQk5NDleysr6+Hu7s7CgsLQafTsXXrVsTGxiI0NBTA09Xt3Nxc5OfnIy8vD7t374ZKpaJcRuoReLj7TCwWg8/ng8/no7KyEj/++COcnZ3x+uuvU0YBXReL7o3Ozk4IhcJuxgEOhwMvLy9wuVw4ODj0e6uiVCqRnZ2NW7duwc3NDREREbC2tqaSA2zZsgU0Gg0rV65EWloaLl68iNmzZ4/IZ9QxL8aqcn+2PjabDSaTCTqdjidPnoDD4WD69OnU6NkbdXV1VDwt8DRNqPq5NrY+BoMBNpsNmUyG1tZWiMViWFhYDEv+rGcxMzNDSEgIQkJCQAjBwYMHsX79eiiVSmRmZkIgEIDBYMDBwQEWFhYaBgH1w9TUtN8gE0IIZDIZxGKxhmlA/by+vh4ikQi2trZwcHCAs7Mzpk2bBg6Ho3VsdtcgCzabjVdeeUUjaCIgIAAFBQX45Zdf8I9//AMqlQp5eXmD2hYcT+hUuJ9mfIoiUZEum4SvtS/emtZ7wIA2tj4WiwU/Pz+UlJRAIBDg5MmTeOmll/p836CgINjZ2cHd3R2RkZFYuXLlgG19NBoNTCaTqjTX3NwMAwMDKBQKrV0uQ0VtPl+3bh21OEP+W/5TKBRSIquqqqJEJxaL0dHRQV3wGAwGJeKu5gG5XE5ZFrsaB8zNzeHg4ICZM2cOSKRdUalU4PF4SEtLg4GBAZYtW9ZjfDSNRoO9vT22bdsGLpeL77//fsA7BOORcT/iaouRkRF8fX3xxRdfID09HRcuXOjzeAaDgUuXLiEzMxPXrl0bkq2PRqPB1NQUJiYmkEgkkEgk+PrrrxEaGorAwMBhTUT+66+/gs1ma6yoqmsp9VVaVKlUarh8lEolCCGUiOl0OgwNDXU+gxCLxcjJyUF2djYmTJiAsLCwbkEWalQqFTZv3ozExES8/fbbeOedd8ZU5o7hRKfC7WtkHC4GYutLTU3FkSNHkJycjJaWFjx69AheXl69fvloNBqmTZuGadOm6cTWR6PRwGKxYGFhgaioKOqiEBAQgKlTpw7LHuPNmzepWq8DQW3BGwkIIaisrERmZiZKS0vh5+eHmJiYPuOI7927h1WrVsHc3Bx3795FYGDgiJzrWGHcj7ja2vpyc3OxdetWXLp0CZ6enlAqlXjy5AkePXqEl19+uVtNWIFAAKFQSMW53r9/X6e2PrXHtaWlBTk5OVRgRWhoKLhcrs78uVlZWQgODtZJW7pGKpXi4cOHyMzMBCEEoaGh1AJib3QdZd966y28/fbbz+Wqcb9oayMiY8zW1xVtbH2RkZGEw+GQoKAgEhQURJYuXUoIIaSsrIy4urqS/Px8DTvY48ePKVtfUFAQmT9/PikpKSGEEJ3a+tQoFAqSn59P4uPjyccff0wSExNJbm4uEYvFQ+obNzc3kpSUNKQ2dIlIJCJ37twhx44dIx999BFJSkoiZWVlWhVhu3v3LnF0dCS+vr4kLy9vBM52VHj+bX26IDk5GSUlJVixYgVEIhHs7e2HPZ63vz5rb29HcXEx+Hw+ysrKwOFwqORtbDZb6/s4uVwOMzMzCAQC2NjY6Or0BwQhBNXV1VSARXt7O7y9vcHlcuHh4aHV/f0LNsq+uJFTg6W1tRXl5eWg0WhUOpXhYCB9plAoUF5eDj6fDx6PB0NDQ7i7u2PixIlwcHAAh8PpNYiksLAQM2bMQEtLiy5Pv0/kcjmEQiFqamogEAhQWloKU1NTKqrL0dFxQF7mL7/8Ert37wabzUZiYuKLcC/7Yuzj6hILCwsEBASgrq4OZWVlMDIygpubm9b5mYYDAwMDeHt7w9vbG4sXL4ZQKERFRQUqKipw9+5dNDU1gcPhUIEVXcVcWlo6bBcfQFOkaqF2PR8XFxeEhYUNKkY4KSkJO3fuhEwmw/79+xETEzP+0ssMI3rhPgOdToe9vT1sbGwgFArB5/NhYmICd3f3Ua0DBDxdlVanSVWjFo9AIKDELBKJYGpqisLCQrBYLCQnJ3cLsFDv0XbNxkgI6TEjY08BFmKxGDKZTEOk06dP73MGoA03btzA1q1bIRQK8cEHH+C1114bkaCV8YZeuL1gYGBA5VYWCAQoKCiAmZkZ3N3dx9T9lZGREVxcXDQihZRKJcRiMXbt2kWlWm1ra9PIxCiTyTSCKbpmY1Q/TE1NNYIqnJycBhxdpS35+fn44x//iKKiIvz973/Hm2++OWJhmeMRvXD7QT1dtre3R1VVFR4+fAgLCws4OzuP2ZGAwWBgwoQJaG5uhqurK6ZOnTrap9QrWVlZVHDLpk2bcOnSpefGMzucPBfuoJGAyWTCy8sLvr6+AJ6OEI8ePYJIJBrlM+sdoVA4JjNeqFQqfPbZZ/D09MTcuXPh6+uLgoICxMXF6UWrJc+FcJ+19fXE4cOHERAQQGVQLCgo6LfdPXv2YNKkSQgMDERwcDDu3bsHU1NTXLp0CdHR0fD390deXh7y8vJQUVGB/Px8/Pa3v4WxsfGYSLBdX1/fZ7nJkaayshJr1qwBm81GXFwc/va3v0EoFOKbb74Z8TzN4x5tN3zJGA3AUCgUxMPDg5SWlhKZTEYCAwN7DHpoaWmhnp8/f54sXLiwz3Zv375NZsyYQQVl1NfXk+rqakIIITk5OaS8vJy4urqSuro60tTURAoLC8nVq1dJUlIS2blzJ9m3b1+vbY9Unzk7O5Off/55RN6rL06dOkUCAwMJk8kky5cvJ2lpaVoFXLygPB9lNvtD22p9XauZt7e39xvEUFNTAxsbG+o+tmsAQ9f0L10D9t3c3FBXV4eUlBQqCweHwxm1RZbm5mZ4enqO+PuqVCqcP38ehw8fxv3796FUKrFjxw5s2bJlLOYxHpfoVLjCjz6CrFC3tj7j3/jC/u23e/39QKr1ffXVV9i/fz/kcjlV5bw3oqKi8MEHH8DHxwfz589HdHQ0wsLC+vwbJpMJFxcXqgYOjUZDcXEx6HQ6mEwmbGxswGaz+2xDV6hUKojF4hGbgkokEnz11VdITExEcXExjI2NsWrVKuzcuRMRERGjVpnweeW5uMfVlu3bt6O0tBSffvppv/VzzMzMkJ2djSNHjsDW1hbR0dGIj4/X6n3UWykeHh6YPHkyvLy8wGKxIBAIkJubC4FAgF27dqGhoUEHn6pn1F7Z4bQMlpeX44033gCXy4W1tTXi4+OxfPly/Prrr6itrcWhQ4ewYMECvWiHAZ32aF8j43AxmGp9a9euxbZt2/ptm8FgIDw8HOHh4QgICMCxY8fw6quvDuj8aDQalT3D2dkZUqkUeXl5uHz5Mj755BNYWVnB3t4eAQEBWLhwIVasWKExrR8scrlcpzVshUIhzpw5g5SUFBQWFqK2thbt7e1UnqglS5Y8F/mKxwvj/lKora2vuLiYygT4008/Uc+rq6uxYcMGXLt2TeN4Ho8HOp1OHacrWx+TyYSFhQUyMjIgkUjw4MEDZGVl4fbt23j//fexefPmbmIOCwuDs7PzgIQ4WOGqVCoUFxfj2rVrGiIVi8Xw8vLCrFmzsHPnTkyZMgWTJk0aU8EoL1oX8C0AAAIMSURBVBLjXrgGBgaIi4vDwoULoVQqsWnTJkyaNAkA8O677yI0NBTLli1DXFwcUlJSYGhoCCsrKxw7dgzA00WonqZyYrEYb7zxBpVuxsvLC0eOHAEAHDhwAHv37oVQKERgYCAWL16Mb7/9FkKhEKGhoWhtbQWdTsfnn3+OgoKCXkdQU1NTqj7Q66+/DgCUmLOzs5Geno5//etfEAgE6OzsBIvFoh4TJkyAjY0NnJ2d4enpSU3HTUxMYGxsjLa2NtDpdOTk5KCjowMymQwymQzNzc0oLi5GWVkZqqqq0NjYiLa2NrS3t0MsFkMikYDJZMLV1VUv0jHMC+8OiouLg4uLC5YtWzZi7zmYPmtvb6cC+dVB/U+ePEFlZSWePHkCoVAIuVwOpVJJPYyNjSGVSmFgYAADAwMwGAwwmUwqcZurqyucnJw0DAr29vajHpP9gqO39Y1V9H2mpw9enIToevS8aOhEuAMctV9o9H2lRxcMWbhMJhONjY36L6QWEELQ2Niov4fUM2SGfI/b2dmJqqoqSKVS3Z3VcwyTyYSTk5N+hVZPb4zM4pQePXp0in5xSo+e5xW9cPXoGYfohatHzzhkoCGPL0ZFJT16xjj6EVePnnGIXrh69IxD9MLVo2ccoheuHj3jEL1w9egZh+iFq0fPOEQvXD16xiF64erRMw7RC1ePnnGIXrh69IxD/h98umVZ02VBSQAAAABJRU5ErkJggg==\n",
|
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"text/plain": [
|
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"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's draw some constant noise circles\n",
|
|
"# first we grab the noise parameters for our target frequency from the network model\n",
|
|
"idx_915mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n",
|
|
"\n",
|
|
"# we need the normalized equivalent noise and optimum source coefficient to calculate the constant noise circles\n",
|
|
"rn = bjt.rn[idx_915mhz]/50\n",
|
|
"gamma_opt = bjt.g_opt[idx_915mhz]\n",
|
|
"fmin = bjt.nfmin[idx_915mhz]\n",
|
|
"\n",
|
|
"for nf_added in [0, 0.1, 0.2, 0.3]:\n",
|
|
" nf = 10**(nf_added/10) * fmin\n",
|
|
" \n",
|
|
" N = (nf - fmin)*abs(1+gamma_opt)**2/(4*rn)\n",
|
|
" c_n = gamma_opt/(1+N)\n",
|
|
" r_n = 1/(1-N)*np.sqrt(N**2 + N*(1-abs(gamma_opt)**2))\n",
|
|
" \n",
|
|
" n = net.Network(name=str(nf_added), s=calc_circle(c_n, r_n))\n",
|
|
" n.plot_s_smith()\n",
|
|
"\n",
|
|
"print(\"the optimum source reflection coefficient is \", gamma_opt)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(-0.15947683947506197+0.5979940278898868j)"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's see if we can get a good NF with a point closer to a conjugate match to maximize gain\n",
|
|
"gamma_s = np.conj(bjt.s11.s[idx_900mhz, 0, 0])\n",
|
|
"gamma_s"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# that looks pretty close to unstable so let's just match to 50 ohms, which gives <0.1 dB additional NF\n",
|
|
"gamma_s = 0.0"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((0.5801464368587828+0.25984561092937586j), True)"
|
|
]
|
|
},
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# so I need to calculate the load reflection coefficient to get a conjugate match when the input sees 50 ohms\n",
|
|
"gamma_l = np.conj(bjt.s22.s - bjt.s21.s*gamma_s*bjt.s12.s/(1-bjt.s11.s*gamma_s))\n",
|
|
"is_gamma_l_stable = np.absolute(gamma_l[idx_900mhz, 0, 0] - cl_900mhz) > rl_900mhz\n",
|
|
"\n",
|
|
"gamma_l = gamma_l[idx_900mhz, 0, 0]\n",
|
|
"gamma_l, is_gamma_l_stable"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((122.21458153380792+106.58288288611662j),\n",
|
|
" -227.59098445995284j,\n",
|
|
" 90.8749465076289j)"
|
|
]
|
|
},
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"def calc_matching_network_vals(z1, z2):\n",
|
|
" flipped = np.real(z1) < np.real(z2)\n",
|
|
" if flipped:\n",
|
|
" z2, z1 = z1, z2\n",
|
|
" \n",
|
|
" # cancel out the imaginary parts of both input and output impedances \n",
|
|
" z1_par = 1e+10\n",
|
|
" if abs(np.imag(z1)) > 1e-6:\n",
|
|
" # parallel something to cancel out the imaginary part of\n",
|
|
" # z1's impedance\n",
|
|
" z1_par = 1/(-1j*np.imag(1/z1))\n",
|
|
" z1 = 1/(1./z1 + 1/z1_par)\n",
|
|
" z2_ser = 0.0\n",
|
|
" if abs(np.imag(z2)) > 1e-6:\n",
|
|
" z2_ser = -1j*np.imag(z2)\n",
|
|
" z2 = z2 + z2_ser\n",
|
|
" \n",
|
|
" Q = np.sqrt((np.real(z1) - np.real(z2))/np.real(z2))\n",
|
|
" x1 = -1.j * np.real(z1)/Q\n",
|
|
" x2 = 1.j * np.real(z2)*Q\n",
|
|
" \n",
|
|
" x1_tot = 1/(1/z1_par + 1/x1)\n",
|
|
" x2_tot = z2_ser + x2\n",
|
|
" if flipped:\n",
|
|
" return x2_tot, x1_tot\n",
|
|
" else:\n",
|
|
" return x1_tot, x2_tot\n",
|
|
"\n",
|
|
"z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n",
|
|
"# note that we're matching against the conjugate;\n",
|
|
"# this is because we want to see z_l from the BJT side\n",
|
|
"# if we plugged in z the matching network would make\n",
|
|
"# the 50 ohms look like np.conj(z) to match against it, so\n",
|
|
"# we use np.conj(z_l) so that it'll look like z_l from the BJT's side\n",
|
|
"z_par, z_ser = calc_matching_network_vals(np.conj(z_l), 50)\n",
|
|
"z_l, z_par, z_ser"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(7.642650209913709e-13, 1.5806772611913347e-08)"
|
|
]
|
|
},
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's calculate what the component values are\n",
|
|
"c_par = np.real(1/(2j*np.pi*915e+6*z_par))\n",
|
|
"l_ser = np.real(z_ser/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"c_par, l_ser"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# the capacitance is kind of low but the inductance seems reasonable\n",
|
|
"# let's test it out\n",
|
|
"\n",
|
|
"output_network = tem.inductor(l_ser)\n",
|
|
"\n",
|
|
"amplifier = bjt ** output_network\n",
|
|
"\n",
|
|
"amplifier.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"amplifier.s11.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 110,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"(0.4962586711014507+0.23917093695061845j) (0.18228051694780179+0.36506979517749194j)\n",
|
|
"(0.49569287122840444+0.2211668930637062j) (0.19129931295477226+0.3623052098214076j)\n",
|
|
"(0.4939977045628752+0.20323390291275034j) (0.20028409631888006+0.3600278893091544j)\n",
|
|
"(0.49117986115324375+0.18544273981707285j) (0.20921875018082758+0.3582180066051195j)\n",
|
|
"(0.4872504617400978+0.167863617369403j) (0.21808932998905928+0.35685677017352446j)\n",
|
|
"(0.48222501386774913+0.1505659123349047j) (0.22688378378536478+0.35592649617299665j)\n",
|
|
"(0.47612335068304124+0.1336178908527794j) (0.23559169497464763+0.35541065392126203j)\n",
|
|
"(0.4689695526629794+0.11708643902100246j) (0.24420404670148016+0.35529388986894j)\n",
|
|
"(0.4607918525800893+0.10103679892745204j) (0.25271300656744233+0.35556203449564405j)\n",
|
|
"(0.45162252408056236+0.0855323111691943j) (0.26111173017347444+0.35620209580375295j)\n",
|
|
"(0.44149775431491856+0.07063416487608437j) (0.2693941818269482+0.357202242434259j)\n",
|
|
"(0.43045750112385545+0.05640115622522554j) (0.2775549706866734+0.3585517788602209j)\n",
|
|
"(0.41854533534290633+0.042889456399319625j) (0.28558920060898085+0.360241114619539j)\n",
|
|
"(0.4058082688482577+0.03015238990467098j) (0.29349233198746516+0.3622617291218278j)\n",
|
|
"(0.39229656902235177+0.018240224123721865j) (0.3012600539349707+0.3646061331954502j)\n",
|
|
"(0.378063560371493+0.007199970932658811j) (0.3088881652292636+0.36726782822171494j)\n",
|
|
"(0.363165414078383-0.002924798832985076j) (0.31637246252647644+0.37024126342555364j)\n",
|
|
"(0.34766092632012524-0.012094127332512j) (0.3237086344339431+0.3735217916479341j)\n",
|
|
"(0.3316112862265749-0.020271827415402094j) (0.3308921601232806+0.3771056237076528j)\n",
|
|
"(0.315079834394798-0.027425625435463924j) (0.3379182112538142+0.3809897812623942j)\n",
|
|
"(0.2981318129126726-0.03352728862017182j) (0.34478155606515204+0.385172047895036j)\n",
|
|
"(0.2808341078781743-0.03855273649252047j) (0.351476464586443+0.389650917975669j)\n",
|
|
"(0.2632549854305045-0.04248213590566638j) (0.357996614000061+0.39442554267770663j)\n",
|
|
"(0.24546382233482703-0.04529997931529786j) (0.36433499329155095+0.399495672353332j)\n",
|
|
"(0.22753083218387116-0.04699514598082713j) (0.37048380641893586+0.40486159429534097j)\n",
|
|
"(0.2095267882969589-0.04756094585387341j) (0.3764343733471879+0.4105240647256943j)\n",
|
|
"(0.19152274441004663-0.04699514598082713j) (0.38217702842312085+0.4164842336528243j)\n",
|
|
"(0.1735897542590908-0.04529997931529786j) (0.38770101571864846+0.42274356102767774j)\n",
|
|
"(0.15579859116341327-0.042482135905666435j) (0.392994381154088+0.4293037224011962j)\n",
|
|
"(0.13821946871574342-0.03855273649252047j) (0.3980438614372531+0.43616650204314683j)\n",
|
|
"(0.12092176368124521-0.033527288620171875j) (0.4028347701294154+0.4433336712251593j)\n",
|
|
"(0.10397374219911985-0.027425625435463924j) (0.4073508814885588+0.4508068491027341j)\n",
|
|
"(0.3150798343947978+0.5057674993367008j) (0.05274107719448451+0.5342518902430446j)\n",
|
|
"(0.3316112862265746+0.49861370131663907j) (0.05416855518777264+0.5196006698236785j)\n",
|
|
"(0.34766092632012535+0.49043600123374886j) (0.05665183373606597+0.5054463468155599j)\n",
|
|
"(0.36316541407838304+0.48126667273422197j) (0.060098597098023565+0.49185614160339275j)\n",
|
|
"(0.3780635603714929+0.47114190296857816j) (0.06441595146252682+0.47888268818870067j)\n",
|
|
"(0.39229656902235166+0.4601016497775151j) (0.06951237636248636+0.4665652909404166j)\n",
|
|
"(0.4058082688482575+0.4481894839965661j) (0.07529927169619566+0.45493133676395675j)\n",
|
|
"(0.4185453353429062+0.4354524175019173j) (0.08169212687221261+0.44399777410936553j)\n",
|
|
"(0.4304575011238555+0.4219407176760114j) (0.08861135106767731+0.43377258854509937j)\n",
|
|
"(0.4414977543149185+0.40770770902515263j) (0.09598281023821892+0.42425622230939924j)\n",
|
|
"(0.45162252408056225+0.3928095627320427j) (0.10373811858915072+0.4154429011792203j)\n",
|
|
"(0.4607918525800892+0.37730507497378507j) (0.11181473095674116+0.40732184555591266j)\n",
|
|
"(0.46896955266297935+0.36125543488023454j) (0.12015587906971015+0.39987835364859686j)\n",
|
|
"(0.47612335068304124+0.34472398304845747j) (0.12871038988714162+0.39309475311149156j)\n",
|
|
"(0.48222501386774913+0.32777596156633226j) (0.13743241885223617+0.38695122370378676j)\n",
|
|
"(0.48725046174009773+0.31047825653183403j) (0.14628112547596767+0.3814264978213311j)\n",
|
|
"(0.49117986115324375+0.29289913408416407j) (0.15522031351425608+0.3764984484566931j)\n",
|
|
"(0.4939977045628752+0.27510797098848666j) (0.16421805333322775+0.37214457562338343j)\n",
|
|
"(0.49569287122840444+0.25717498083753065j) (0.17324629997268026+0.3683424028404304j)\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# the circuit is unstable so let's move the input impedance to try to stabilize it\n",
|
|
"# let's test a bunch of points and see we can find a stable one\n",
|
|
"nf = 10**(0.1/10) * fmin\n",
|
|
" \n",
|
|
"N = (nf - fmin)*abs(1+gamma_opt)**2/(4*rn)\n",
|
|
"c_n = gamma_opt/(1+N)\n",
|
|
"r_n = 1/(1-N)*np.sqrt(N**2 + N*(1-abs(gamma_opt)**2))\n",
|
|
"\n",
|
|
"bjt_s22 = bjt.s22.s[idx_900mhz, 0, 0]\n",
|
|
"bjt_s21 = bjt.s21.s[idx_900mhz, 0, 0]\n",
|
|
"bjt_s11 = bjt.s11.s[idx_900mhz, 0, 0]\n",
|
|
"bjt_s12 = bjt.s12.s[idx_900mhz, 0, 0]\n",
|
|
"\n",
|
|
"for i in range(0, 100):\n",
|
|
" gamma_s = c_n + r_n*np.exp(-2j*np.pi*i/100.)\n",
|
|
" #z_s = net.s2z(np.array([[[gamma_s]]]))[0,0,0]\n",
|
|
" is_gamma_s_stable = np.absolute(gamma_s - cs_900mhz) > rs_900mhz\n",
|
|
" if not is_gamma_s_stable:\n",
|
|
" continue\n",
|
|
" \n",
|
|
" gamma_l = np.conj(bjt_s22 + bjt_s21*gamma_s*bjt_s12/(1-bjt_s11*gamma_s))\n",
|
|
" is_gamma_l_stable = np.absolute(gamma_l - cl_900mhz) > rl_900mhz\n",
|
|
" if not is_gamma_l_stable:\n",
|
|
" continue\n",
|
|
"\n",
|
|
" print(gamma_s, gamma_l)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 202,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((66.2631010551724-38.52253932822274j), (58.93311731910662-78.9309614005669j))"
|
|
]
|
|
},
|
|
"execution_count": 202,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"#(0.4689695526629794+0.11708643902100246j) (0.24420404670148016+0.35529388986894j)\n",
|
|
"gamma_s = (0.13821946871574342-0.03855273649252047j)\n",
|
|
"gamma_l = (0.3980438614372531+0.43616650204314683j)\n",
|
|
"gamma_s = bjt.g_opt[idx_915mhz]\n",
|
|
"\n",
|
|
"z_s = np.conj(net.s2z(np.array([[[gamma_s]]]))[0,0,0])\n",
|
|
"z_l = np.conj(net.s2z(np.array([[[gamma_l]]]))[0,0,0])\n",
|
|
"\n",
|
|
"z_s, z_l"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 203,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(-297.56843939433804j,\n",
|
|
" 43.965021073542395j,\n",
|
|
" -941.2755436141462j,\n",
|
|
" 75.71255337677657j)"
|
|
]
|
|
},
|
|
"execution_count": 203,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"x_s_1, x_s_2 = calc_matching_network_vals(z_s, 50)\n",
|
|
"x_l_1, x_l_2 = calc_matching_network_vals(z_l, 50)\n",
|
|
"\n",
|
|
"x_s_1, x_s_2, x_l_1, x_l_2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 204,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(5.845372206466672e-13,\n",
|
|
" 7.647268226222535e-09,\n",
|
|
" 1.8479161569190324e-13,\n",
|
|
" 1.3169428550844769e-08)"
|
|
]
|
|
},
|
|
"execution_count": 204,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"c_s_shunt = np.real(1/(2j*np.pi*915e+6*x_s_1))\n",
|
|
"#c_s_ser = np.real(1/(2j*np.pi*915e+6*x_s_1))\n",
|
|
"l_s_ser = np.real(x_s_2/(2j*np.pi*915e+6))\n",
|
|
"c_l_shunt = np.real(1/(2j*np.pi*915e+6*x_l_1))\n",
|
|
"l_l_ser = np.real(x_l_2/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"c_s_ser = -np.real(1/(2j*np.pi*915e+6*x_s_1))\n",
|
|
"l_s_shunt = -np.real(x_s_2/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"\n",
|
|
"#c_s_shunt, c_s_ser, c_l_shunt, l_l_ser\n",
|
|
"c_s_shunt, l_s_ser, c_l_shunt, l_l_ser"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 205,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#input_network2 = tem.capacitor(c_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n",
|
|
"input_network2 = tem.inductor(l_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n",
|
|
"output_network2 = tem.shunt_capacitor(c_l_shunt) ** tem.inductor(l_l_ser)\n",
|
|
"\n",
|
|
"#amplifier2 = input_network2 ** bjt ** output_network2\n",
|
|
"amplifier2 = input_network2 ** bjt #** output_network2\n",
|
|
"\n",
|
|
"amplifier2.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 206,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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8tmQXN742l7V7jzody5iQZIXAOCYiPIzHr6/FB/1acDTrLDe98YNNXmeMAwotBCKSKCK3iMhDIvJ7EWkuIlZATJFpnRLPtEFtaeWevO6PHyyxVdCM8aELfqCLSEcRmQ58DdwAlAfqAH8FVorI30QkzjcxTbCLj4nivb7NeLrrVcxcm0HXkeks3pZ3XSNjjDdEFPBcV+APqroj7xMiEgF0B64FvvBSNhNiwsKE/u2q07xqOR4ev4xeo+fz+HW1uL9dNcLC8l22whhTBGzSOeOXjmZl89QXK/l65V461EpgWM9GlC0Z6XQsYwJKkUw6JyLtRaSB+35PEXldRB4RkaiiCmpMfuKii/H6XY35+011+XHTAbqOSGeRNRUZ4xUF9RG8AfwDGCMiHwB3AauAJrjWFTDGq0SEPq2SmfDg1UQVC+OO0fN5c/Ymm8nUmCJ2waYhEVmjqnVEJBrYDSSq6jn3GsM/qWp9X4W0piFzLCubP09Yydc/7aV9zQSG9WxIuRg7MTWmIEXRNJQFoKpZwHZVPed+rICN7TM+FRtdjNfvbMzfb67HvM0H6DZyLgu3WlORMUWhoFFDiSLyKCC57uN+nOD1ZMbkISL0aVmFxpVLM+Cjpdz5znwevbYmD7SvbqOKjLkMBZ0RvAPEAjG57uc8HuP9aMbkr17FUnw1sA031LuSl6evp++4RRw4ftrpWMYELK8NHxWRsbiuNchQ1Xp5nnsMGAokqGpmYceyPgKTH1XlwwU7eGHKGsqUKMZrdzahedWyTscyxm942kdwwaYhERlZ0AtV9eFCjj0OeB34T57jVgauA/7nQjVjLoaI0LtlFRonlWbAR8u4Y/Q8HruuljUVGXORCmoaWuK+ReMaMrrRfWsEFHplj6qmAfn15r0K/AmwMYCmSNStUIrJA1rTrUEFXp6+nnvfW0imNRUZ47ELFgJVfV9V3wcaAB1U9TVVfQ3ohKsYXDQRuQnYraorPNi3v4gsFpHF+/fvv5S3MyEkNroYI+9oxIu31GfB1oN0G5nOgi0HnI5lTEDwZBbRMkDuyeVi3NsuioiUAJ4GnvVkf1UdraqpqpqakGCDlEzhRIS7WiTx5YNXUyIygjvfmc/r32+0C9CMKYQnhWAIsExExonI+8BS4MVLeK/qQFVghYhsAyoBS0Xkyks4ljEXVLeCa1RR9wYVGPrtBmsqMqYQHo0acn9Yt3A/XKCq+zw6uEgyMCXvqCH3c9uAVBs1ZLxFVfl40U6em7ya0sWLMfLOxrSsVs7pWMb4zGVfWez+EAdAVfep6iT3bZ/7eRGRSgW8fjwwD6glIrtEpN/F/AWMuVwiwp3Nk5j4YGtioiK46535vDZzI+esqciY3yhorqHPcBWKSbhGD+3HNYIoBeiIq9P4OVWd4e2QdkZgLtfx02d5esJKJq/YQ9sa8bzaqxHxNleRCXKenhEU2DQkInWAu4HWuFYoOwmsBaYCn7vnIfI6KwSmKOQ0FT0/eTWlihdjxB2NaVXdmopM8CqSQuAvrBCYorR271Ee+nAp2w6cYHDnmjzUMYVwuwDNBKEiWZjGmGBUu3wckwe24XcNKzBsxgbuHbuQ/cdsVJEJXVYITEiKiYrg1V6N+Pdt9Vm07SBdR6bz4+ZCB7AZE5SsEJiQJSL0apbEpAGtiY2OoPeYBYz4zkYVmdBTaCFwDxPtLSLPuh8niUhz70czxjeuujKOrwa04aZGFXn1uw3cM3aBNRWZkOLJGcGbQCvgTvfjY8AbXktkjANKRkUwrGdDXrqtAYu3HXI1FW2ypiITGjwpBC1U9SF+XbryEB7MPmpMoBERejarzKQBrYmLjuDudxcw/LsN1lRkgp4nhSBbRMJxTxstIgnAea+mMsZBV10Zx+QBbbilUUWGf7eRPu8uIOOYTy6ZMcYRnhSCkcCXuNYt/icwl0ubdM6YgFEyKoJXejbkpR4NWLrjEF1HzLWmIhO0Ci0EqvohroVk/gXsBW5W1c+8HcwYp4kIPVMrM+mhNpQq7moqenWGNRWZ4FPQpHNlc25ABjAe+Aj42b3NmJBQ68pYV1NR44qMmLmR3mOsqcgEl8KWqlzMrxPObcC1VOV+9zZjQoZrVFEjXu7RgGU7D9F1RDrpG23lPBMcClqqsqqqVgO+A25U1XhVLQd0B771VUBj/MntqZWZPKANZUpE0ufdhfxr2lqyz9nYCRPYPOksbqmqU3MeqOo04GrvRTLGv9W8wtVUdFeLJN6es4Ueo+ax/cAJp2MZc8k8KQR7ROSvIpLsvv0F2OPtYMb4s+KR4bx4S33eursJW/cfp9vIuUxcttvpWMZcEk8KwZ1AAq4hpF8Cifx6lbExIe2G+uWZNrgdtcvHMviT5Tz66XKOnz7rdCxjLoqtR2BMETh77jyvfb+J177fSJVyJRl5R2PqVyrldCwT4opsPQIRmSUi3+e9FU1MY4JDRHgYj1xbk4/+0JKs7HPc+tYPjEnfwnm75sAEgAgP9nk81/1o4Dag0HNfERmLa4RRhqrWc297GbgROANsBu5T1cMXG9oYf9WyWjmmDWrLk1/8xD++Xkv6xkyG3t6QhFhbH9n4L0+uLF6S6/aDqj4KdPDg2OOALnm2zQDqqWoDXNclPHWReY3xe6VLRDKqd1P+cXM95m85wA0j0knbYNccGP/lSdNQ2Vy3eBG5Hii08VNV04CDebZ9q6o5ZxPzgUqXEtoYfyci9G5ZhckD2lC2ZDHuGbuQf01dy5mzds2B8T+eNA0twTXzqOBqEtoK9CuC9/498MmFnhSR/kB/gKSkpCJ4O2N8r9aVsUx6qA3/+HoNb6dtYd6WAwzv1YhqCTFORzPmF4WOGhKRaFXNyrMtSlULXcJJRJKBKTl9BLm2/wVIBW5VD4Yt2aghEwy+WbWXP09YSVb2OZ7uWps+LasgIk7HMkGsyEYNAT/ms23exUdyEZG+uDqR7/akCBgTLLrUK8/0we1oUbUcz05azT1jF7LviE1eZ5xX0OyjV4pIU6C4iDQWkSbuWwegxKW8mYh0wTWl9e9U9eQlJTYmgF0RF824+5rxj5vrsXjbIa4fnsZXK+xCfeOsgvoIrgf64urQHZZr+zHg6cIOLCLjcY0uiheRXcBzuEYJRQEz3KfE81X1j5cS3JhAldOR3Dolnkc+Wc7A8cuYseZn/n5TPUqVKOZ0PBOCPOkjuE1Vv/BRnnxZH4EJVmfPneet2ZsZMXMj8TFRvHx7A9rWSHA6lgkSnvYRXLAQiEhvVf1ARB7DvV5xbqo6LJ+XeYUVAhPsVu46wiOfLmdTxnHuaVWFp26oTfHIcKdjmQBXFJ3FJd1/xgCx+dyMMUWkfqVSTBnYht+3rsp/5m2n28h0Vuy0i+6Nb9ikc8b4mR83ZfL4Zyv4+dhpBnRMYcA1KRQL92SAnzG/ddlNQ7kOlAD8AUgmV+eyqv7+MjN6zAqBCTVHTmXz/OTVfLlsNw0qlWJYz0akJNpFaObiFOV1BJNwTSnxHfB1rpsxxktKFS/Gq70a8ebdTdhx8CTdRqYz7oetNpup8QpPppgooapPej2JMeZ/dK1fntQqZXjyi594/qs1fLc2g5dvb0D5UsWdjmaCiCdnBFNEpKvXkxhj8pUYF83Yvs148Zb6LN1xiOtfTWPSclsW0xQdTwrBIFzF4JSIHBWRYyJy1NvBjDG/EhHuapHE1IfbkpIYw6CPlzPgo6UcPnnG6WgmCHiyHkGsqoapanFVjXM/jvNFOGPMbyXHl+TT+1vxxPW1+GbVPq4fnsYcW+vAXCZP1iNoks+tuoh40r9gjCliEeFhPNQxhYkPtSYuuhj3jl3IMxNXcfJMoQsHGpMvT5qG3sS1iMw77tt84DNgvYhc58VsxpgC1KtYiq8GtuH/2lTlgwXb6TZyLst2HHI6lglAnhSCPUBjVW2qqk2BRsAW4FrgJW+GM8YULLpYOH/tXoeP/q8lZ86ep8eoeQz7dj3Z52wlNOM5TwpBTVVdnfNAVdcAV6nqFu/FMsZcjFbVyzFtcFtublSRkd9v4tY3f2RTxjGnY5kA4UkhWC0ib4lIe/ftTWCNiEQB2V7OZ4zxUFx0MV7p2ZBRvZuw69BJuo2cy9i5dhGaKZwnhaAvsAkY7L5tcW/LBjp6K5gx5tJ0qVee6Y+0o3VKPC9MWUOfsQvYc/iU07GMH7NJ54wJUqrKx4t28vcpawgPE164qS43N6po6ySHkCKba0hEaojI5yKyRkS25NyKJqYxxltEhDubJzFtUFtqXhHLI5+sYMBHyzh0wi5CM7/lSdPQe8BbwFlcTUH/AT7wZihjTNGpUs51EdqfutTi2zWui9Bmrc9wOpbxI54UguKqOhNXM9J2VX0e6ObdWMaYohQeJjzYwXURWpkSkdz33iL+/MVPHMuy8R7Gs0JwWkTCgI0iMkBEbsG1almBRGSsiGSIyKpc28qKyAwR2ej+s8xlZDfGXKS6FUoxaUBr7m9fjU8X7+T6V9NIsykqQp6nk86VAB4GmgJ9gHs9eN04oEuebX8GZqpqDWCm+7Exxoeii4Xz1A21+fyBqykeGc49Yxfy1AQ7OwhlXh01JCLJwBRVred+vB7ooKp7RaQ8MFtVaxV2HBs1ZIx3ZGWf49XvNvBO2haujItmyG0NaFczwelYpohc9lKVIjK5oBeq6u88CJHMbwvBYVUt7b4vwKGcx/m8tj/QHyApKanp9u3bC3s7Y8wlWrrjEE98toLN+09wZ/PKPN21NrHRxZyOZS5TURSC/cBOYDywAPjN4GNVneNBiGQuUAjcjw+paqH9BHZGYIz3ZWWf49UZG3gn3XV28O8eDWhbw84OAllRXEdwJfA0UA8YgWuSuUxVneNJEbiAn91NQrj/tDFsxviJ6GLhPNXV1XcQHRlOn3cX8tSEldZ3EAIuWAhU9ZyqfqOq9wItcU0zMVtEBlzG+03m147me4FJl3EsY4wXNEkqw9SH23J/u2p8smgHXYank77RRhYFswJHDYlIlIjciusCsoeAkcCXnhxYRMYD84BaIrJLRPoBQ4BrRWQj0Nn92BjjZ3KfHUQVC7OzgyBXUB/Bf3A1C00FPlbVVfnu6APWR2CMc7KyzzFsxgbGpG+hfKniDLmtvvUdBIii6Cw+D5xwP8y9kwDqy3WLrRAY47wl2w/xxOcr2LL/BHc0q8xTXWtTqriNLPJnl91Z7F6wPjZnsfpcN1u83pgQ1LTKr30Hny7eSedhc5i2ci+BMIOxKZgnVxYbYwzwa9/BpIfakBgbxQMfLqX/f5ew70iW09HMZbBCYIy5aPUrlWLSQ6156oarSN+4n2uHzeG/87fbamgBygqBMeaSRISHcX/76kwf3I6GlUvzzMRV9Bj1I+v32VrJgcYKgTHmslQpV5L/9mvOK7c3ZNuBk3Qbmc6/v1nHqTPnnI5mPGSFwBhz2USE25pW4rtH23NL44q8NXsz1w2fwxyb4jogWCEwxhSZsiUjefn2hnzcvyXFwsO4d+xCBo5fRsYx60z2Z1YIjDFFrmW1ckwb1JZHOtdk+qp9dHplDh8usM5kf2WFwBjjFVER4QzqXINvBrelXoVS/OVL60z2V1YIjDFeVS0hho/+0IJXbm/I1swT1pnsh6wQGGO8LqczeeZjHawz2Q9ZITDG+ExOZ/L4P1hnsj+xQmCM8blW1a0z2Z9YITDGOCKnM3madSY7zgqBMcZR1fPpTB4ybR0nz5x1OlrIsEJgjHFc3s7kUXM20/mVOUy1aa59wgqBMcZv5HQmf/bHVpQqEcmDHy6l97sL2JRhzUXeZIXAGON3miWX5asBrXnhprqs3HWELsPTeXHqWo6ftuYib3CkEIjIIyKyWkRWich4EYl2Iocxxn9FhIdxT6tkZj3egR5NK/FO+hauGTqbict2W3NREfN5IRCRisDDQKqq1gPCgTt8ncMYExjKxUQx5LYGfPlga64sFc3gT5bT6+35rN171OloQcOppqEIoLiIRAAlgD0O5TDGBIhGlUsz8cHWDLm1PhszjtFtZDrPT17NkVPZTkcLeD4vBKq6GxgK7AD2AkdU9Vtf5zDGBJ6wMOGO5knMerwDd7eown/mbeOaobP5dNFOuxjtMjjRNFQGuAmoClQASopI73z26y8ii0Vk8f79Nh+bF6w9AAAPDElEQVSJMeZXpUtE8veb6zF5QBuS40vypy9+4qY3fmDh1oNORwtITjQNdQa2qup+Vc0GJgBX591JVUeraqqqpiYkJPg8pDHG/9WrWIrP/9iK4b0akXn8ND3fnseDHy5h58GTTkcLKE4Ugh1ASxEpISICdALWOpDDGBMERISbG1fk+8c68Ejnmsxat59Or8zh39+s41iW9R94wok+ggXA58BSYKU7w2hf5zDGBJfika65i2Y93oHuDcvz1uzNdBw6h48X7uCc9R8USAJhPG5qaqouXrzY6RjGmACyYudhXpiyhiXbD1G7fBzPdK/N1dXjnY7lUyKyRFVTC9vPriw2xgSlhpVL8/kfW/H6XY05eiqbu95ZQP//LGZb5gmno/kdKwTGmKAlInRvUIGZj7XnietrMXdTJte+OocXp67lqPUf/MIKgTEm6EUXC+ehjinMftw1u+k76Vvo8PJsPpi/nbPnzjsdz3FWCIwxISMxLpqXejTkqwFtSEmM4a8TV9F1ZDrpG0P7WiUrBMaYkFOvYik+6d+SUb2bcCr7HH3eXUi/cYvYvP+409EcYYXAGBOSRIQu9crz3aPteeqGq1iw9SDXv5rG375azeGTZ5yO51NWCIwxIS0qIpz721dn1uMduD21Mu//uI0OQ2fz/o/byA6R/gMrBMYYAyTERvGvW+vz9cNtqVshjucmr6bL8DRmrc9wOprXWSEwxphcapeP44N+LXjnnlTOK9z33iLuGbuQNXuCd/0DKwTGGJOHiHBtnSuYPrgdf+1WmxU7D9PttXQGf7wsKCe0sykmjDGmEEdOZTNqzmbGzt3KeVV6t6zCgI4plIuJcjpagTydYsIKgTHGeGjfkSxGzNzAJ4t2UiIygv7tqtGvTVVKRkU4HS1fVgiMMcZLNmUcZ+j09Xyzeh/xMVEM6pTCHc2TKBbuX63tNumcMcZ4SUpiDKP6NGXCg1dTLaEkz0xazbXD5vDVij0BuWSmFQJjjLlETZLK8En/lrzXtxnRxcIZOH4ZN73xA3M3Zjod7aJYITDGmMsgInS8KpGvH27LsJ4NOXjiDL3fXUCfdxewavcRp+N5xAqBMcYUgfAw4dYmlZj5WHv+2q02q3Yfoftrcxk4fhnbD/j3GgjWWWyMMV5wNCub0XO28O7crWSfO89dLZIYeE0NEmJ9N+TURg0ZY4wfyDiaxYiZG/l40U6iIsL4v7bV6N+uGjE+GHLq16OGRKS0iHwuIutEZK2ItHIihzHGeFtiXDT/vKU+Mx5pR8daiYycuZH2L81i3A9bOXPWPya1c+SMQETeB9JVdYyIRAIlVPXwhfa3MwJjTLBYsfMwQ6atY96WA1QuW5zHr6vFjQ0qEBYmRf5efts0JCKlgOVANfXwza0QGGOCiaqStjGTf09bx5q9R6lTPo4nb7iKdjXiESm6guDPTUNVgf3AeyKyTETGiEhJB3IYY4wjRIT2NROYMrANI+5oxLHT2dw7diF3j1nAip0XbBzxXh4HzghSgflAa1VdICIjgKOq+kye/foD/QGSkpKabt++3ac5jTHGV86cPc9HC7bz2vebOHDiDNfXvYLBnWtSu3zcZR3Xn5uGrgTmq2qy+3Fb4M+q2u1Cr7GmIWNMKDh++ixj0rfwbvpWjp0+S7f65RnUuQY1r4i9pOP5bdOQqu4DdopILfemTsAaX+cwxhh/ExMVweDONZn75DU8fE0Kczbs5/rhaTw8fhmbMo577X2dGjXUCBgDRAJbgPtU9dCF9rczAmNMKDp04gzvpG9h3I/byMo+x82NKjKwUw2qxnvWreq3TUOXwgqBMSaUHTh+mtFpW3h/3jayzym3Nq7IwGtqkFSuRIGvs0JgjDFBZv+x04yas5kP5m/n3HmlR9NKDLgmhUpl8i8IVgiMMSZI/Xw0i7dmb+ajBTtQlJ6plXmoYwoVShf/zX5WCIwxJsjtPXKKN2dt5uNFOxCEO5tX5sGOKVwRFw1YITDGmJCx69BJ3pi1mc8W7yQsTOjdogp/7FCNK+KKe1QI/HPFZWOMMR6rVKYE/7q1Pg92qM5r32/k/Xnb+Gih5xfh2sI0xhgTJCqXLcFLPRoy89H2dK1f3uPXWSEwxpggkxxfkmE9G3m8vxUCY4wJcVYIjDEmxFkhMMaYEGeFwBhjQpwVAmOMCXFWCIwxJsRZITDGmBBnhcAYY0JcQMw1JCLHgPVO5/BAPJDpdAgPWM6iEwgZwXIWtUDJWUtVC13nMlDmGlrvycRJThORxZaz6ARCzkDICJazqAVSTk/2s6YhY4wJcVYIjDEmxAVKIRjtdAAPWc6iFQg5AyEjWM6iFlQ5A6Kz2BhjjPcEyhmBMcYYL/GrQiAiXURkvYhsEpE/F7DfbSKiIuLzXntPMopITxFZIyKrReQjX2d0Zygwp4gkicgsEVkmIj+JSFcncuYlImNFJENEVjmdJUdhmUTkbvfPcKWI/CgiDX2d0Z3Do5+diDQTkbMi0sNX2fK8f6E5RaSDiCx3/w7N8WW+XBkK+3cvJSJficgKd877fJ0xPyJS2f27nfMZNKjQF6mqX9yAcGAzUA2IBFYAdfLZLxZIA+YDqf6WEagBLAPKuB8n+uPPElfb4QPu+3WAbU7/H3BnaQc0AVY5ncXTTMDVuf69bwAW+GPOXP83vgemAj38MSdQGlgDJLkf+/x3yMOcTwP/dt9PAA4CkU5kzZOrPNDEfT8W2JDfZ2numz+dETQHNqnqFlU9A3wM3JTPfn8H/g1k+TKcmycZ/wC8oaqHAFQ1w8cZwbOcCsS575cC9vgw3wWpahquXyi/UVgmVf0x598b1xeUSj4J9r85PPnZDQS+AJz4fwl4lPMuYIKq7nDv70hWD3IqECsiAsS49z3ri2wFUdW9qrrUff8YsBaoWNBr/KkQVAR25nq8izzhRaQJUFlVv/ZlsFwKzQjUBGqKyA8iMl9Euvgs3a88yfk80FtEduH6djjQN9GCXj9gmtMh8iMiFYFbgLeczlKImkAZEZktIktE5B6nA13A60BtXF+iVgKDVPW8s5F+S0SSgcbAgoL2C5QrixGRMGAY0NfhKIWJwNU81AHXN8M0EamvqocdTfW/7gTGqeorItIK+K+I1PO3/8iBREQ64ioEbZzOcgHDgSdV9bzrS6zfigCaAp2A4sA8EZmvqhucjfU/rgeWA9cA1YEZIpKuqkedjeUiIjG4zv4GF5bJn84IdgOVcz2u5N6WIxaoB8wWkW1AS2CyjzuMC8sIrm/fk1U1W1W34mqfq+GjfDk8ydkP+BRAVecB0bjmTzGXQEQaAGOAm1T1gNN5LiAV+Nj9+9MDeFNEbnY2Ur52AdNV9YSqZuLqE3SkA74Q9+FqwlJV3QRsBa5yOBMAIlIMVxH4UFUnFLa/PxWCRUANEakqIpHAHcDknCdV9Yiqxqtqsqom42qL/Z2qejSXhi8yuk3EdTaAiMTjOs3d4sOM4FnOHbi+cSEitXEVgv0+TRkkRCQJmAD08cNvrb9Q1aq5fn8+Bx5U1YkOx8rPJKCNiESISAmgBa52bn+T+3foCqAWvv9d/x/uPot3gbWqOsyT1/hN05CqnhWRAcB0XCMbxqrqahF5AVisqnk/yHzOw4zTgetEZA1wDnjC198QPcz5GPCOiDyCq9Orr7qHGThJRMbjKqTx7v6L51T1XX/LBBQDUNVRwLNAOVzfsAHOqgMTknmQ0y8UllNV14rIN8BPwHlgjKr6fDixBz/PvwPjRGQlILia3fxhRtLWQB9gpYgsd297WlWnXugFdmWxMcaEOH9qGjLGGOMAKwTGGBPirBAYY0yIs0JgjDEhzgqBMcaEOCsExm+JyDn3DJQ5t2SnMxUlEWksIu/metxFRBaKyDr33/cT9zUKiMi4vLOFisjxAo4dKSJpIuI3Q8SN/7L/JMafnVLVRhd6UkQiVNXxSb4uw9PAPwBEpB7wGq6LJNe6t/0OSMZ14dJFUdUzIjIT6AV8WFSBTXCyMwITUESkr4hMFpHvgZnubU+IyCL3mgB/y7XvX0Rkg4jMFZHxIvK4e/vsnKlJRCTePeUCIhIuIi/nOtb97u0d3K/53P1t/UP31Zs5c/v/6J6TfqGIxLq/iTfKlWOu5FmjQERigQaqusK96UngxZwiAKCqk90zYBb2M3kh11nTbhF5z/3URODui/oBm5BkZwTGnxXPdWXkVlW9xX2/Ca4P0YMich2uuZya47q6c7KItANO4JpaoxGu/+dLgSWFvF8/4IiqNhORKOAHEfnW/VxjoC6umSZ/AFqLyELgE6CXqi4SkTjgFK7L+/sCg0WkJhCd6wM/RyqQ+2rZusDQQvK9LCJ/zbtRVZ8FnhWR0kA6rlkxcR+/WSHHNMYKgfFrF2oamqGqOfPEX+e+LXM/jsFVGGKBL1X1JICIeDJFyXVAg1xt8aXcxzoDLFTVXe5jLcfVZHME2KuqiwByZngUkc+AZ0TkCeD3wLh83qs8F5jbSUTK4TrbKQGMVtWcAvGEqn6ea7/jue4L8AEwTFWXuPOcE5EzIhLrnpfemHxZITCB6ESu+wL8S1Xfzr2DiAwu4PVn+bVZNDrPsQaq6vQ8x+oAnM616RwF/O6o6kkRmYFrMaCeuKZUzutUnvdejetMZ4V7bqpG7qasmAL+Hrk9D+xS1ffybI/CmUWcTACxPgIT6KYDvxfX3OuISEURScQ1dfHNIlLc3R5/Y67XbOPXD+ceeY71gLim8EVEaopIyQLeez1QXkSaufePzTVKZwwwEliUa/Wy3NYCKbkevwT8RVwzweYoUcB7/0JEbgQ6Aw/n2V4OyFTVbE+OY0KXnRGYgKaq37o/POe5+2+PA71VdamIfIJrveYMXFNz5xgKfCoi/YHcq92NwdXks9Td1LIfuOB8/e6ROb2A10SkOK5v+Z2B46q6RESOAnm/oee8dp24Fj+PVdVjqrpSXIuM/8fd15CJa7TQcx78GB7FtQLdQvfPYLK736Bjnr+fMfmy2UdNSBCR53F9QBfWIVtU71cBmA1cdaFV38Q1BfgxVR3jpQwTgD/78xoJxj9Y05AxRUxca+wuAP5SyNKfb/HbvoeizBAJTLQiYDxhZwTGGBPi7IzAGGNCnBUCY4wJcVYIjDEmxFkhMMaYEGeFwBhjQpwVAmOMCXH/D9L/WU+mMYwTAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"amplifier2.s21.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 207,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"amplifier2.s11.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 208,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"amplifier2.s22.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 209,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.7063394274281913"
|
|
]
|
|
},
|
|
"execution_count": 209,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"10*np.log10(amplifier2.nf(50.)[idx_900mhz])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 210,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cascade = amplifier2 ** tem.resistor(22) ** amplifier2\n",
|
|
"cascade.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 211,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
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"text/plain": [
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"<Figure size 432x288 with 1 Axes>"
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]
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},
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"metadata": {
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|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cascade.s21.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 212,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.7351173919471382"
|
|
]
|
|
},
|
|
"execution_count": 212,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"10*np.log10(cascade.nf(50.)[idx_900mhz])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 213,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cascade.s22.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 214,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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RuTu/fnIRFdX1PPzjI8lI1XkDkfbQXE/lagB3rwbWuntD5L4Dde2QTTqoGQs28MqyzVx50nCG91Z/A5H20twRQp6Z/TdgjW4Tud+zzZNJh1RaUc3vnlnCuIHduPCYQUHHEelQmisIdwM5TdwGuOdANmpmvwfOAEKE+zdMcfcNB7JOiX/heZEXU13XwI1njiFZk92ItKvmLju9tg23e5O7/wbAzC4Dfgv8RxtuT+LAMwvDTUXTTh3J4J7ZQccR6XCau8rojuZe6O6X7e9G9+jd3Anw/V2XJIbSynBT0eH5XdVUJBKQ5k4qz4t8ZQCHAysiX2OBtAPdsJldb2brCF+++tsDXZ/EL3dn2lOL2VnbwE1nHaqmIpGAWPiioWYWMHsPOCbSOxkzSwXedPcjW3jdK0DvJp6a5u4zGi33ayDD3X+3l/VMBaYC5Ofnj1u7dm2zeSX+zFiwnp89toCrTh3B1OMGBx1HJOGY2Tx3L2xpuWiGv+4GdAa2Ru5nRx5rlrtPimLdAA8DzwNNFgR3nw5MBygsLFTTUoLZ3VR0WH5XfnTMQUHHEenQoikINwAfmtnrhC85PQ645kA2amZD3X1F5O4ZwPIDWZ/EJ3fn6t1NRWeqqUgkaC0WBHe/z8xeAI6IPPRLd990gNu9wcyGE77sdC26wqhDembhBmYu3cyvvz6CIXm6qkgkaM1dZVTg7msAIgVgxh7PG9DP3Uv2daPu/t19fY0klrLKms+ain58rJqKRGJBc0cIN5lZEuFCMA8oI3zF0RDgBOCrhNv997kgSMfm7lz99KJIU5E6oInEiuY6pp1lZqMIXxZ6IdAH2AksI3wS+PrIOEci++TZjzby0pLN/OrrIxiSp7GKRGJFs+cQ3H0pMK2dskgHsKu2geufW8aY/l24SE1FIjGluY5pIq3unjdXs6mimt+cPkpNRSIxRgVB2k1pZTV3zlrFKQf3ZnxB96DjiMgeVBCk3dz28gpq60OaAU0kRrVYECzsXDP7beR+vplNaPtokkiKNlXyjzmf8MOjBlKQ2ynoOCLShGiOEP4POAo4J3K/EvhLmyWShPSH55eRnZ7CZScODTqKiOxFNAXhCHf/Tz6fUvNTWmG0U+k4ZheXMau4jEtPHEq3TvrXEYlV0RSEOjNLJjJngZn1JDzkhEiLGkLOH55fxoDumZx39MCg44hIM6IpCHcATxGeV/l64C3gD22aShLGE/NKWL6pkl+eMoL0lOSg44hIM6IZ3O5hM5tHeKgKA77l7svaPJnEvR019dw8s4jD8rty2ug+QccRkRY0N7hd4wvFS4FHGz/n7lu//CqRz9395mpKK2u489zDCY+FKCKxrLkjhHmEzxsYkA98GrndFfgE0MS3slebK6q5a9ZqThvdh3ED1QlNJB7s9RyCuw9y94OAV4BvuHuuu/cATgdmtldAiU+3ziymPhTiF6cMDzqKiEQpmpPKR7r787vvuPsLwNFtF0ni3bKNFfxz3jrOP6qAgT3UCU0kXkQzheYGM7saeChy/wfAhraLJPHuD88vo3NGKpecOCToKCKyD6I5QjgH6En40tOngDw+77Us8gVvFJXy5opyLvvqULpmqROaSDyJ5rLTrcDP2iGLxLn6hhB/eH4ZA3tk8cMj1QlNJN60WBDM7HUivZQbc/cT2ySRxK1/zSuheHMVd/7gcNJSNJCuSLyJ5hzCFY1uZwDfBepbY+Nm9nPgZqCnu5e3xjolGDtq6rllZjGFA7txyiG9g44jIvshmiajeXs89LaZfXCgGzazAcBJhPs0SJy7a9YqyqtquPu8ceqEJhKnomkyatyrKAkYB3RphW3fBvwCmNEK65IAbdpezfQ3V3P6mD4clt8t6Dgisp+iaTJq3GO5HvgY+NGBbNTMzgDWu/tC7U3Gv5tnFhEKwS9P0UxoIvEsmoIw0t2rGz9gZuktvcjMXgGaakyeBlxFuLmoRWY2FZgKkJ+fH81LpB0t2bCdJ+aXcNGxBzGge1bQcUTkAERTEN4BDt/jsXebeOwL3H1SU4+b2WjC4yDtPjroD8w3swnuvqmJ9UwHpgMUFhZ+6WonCY67c/1zy+iSmcp/nqBOaCLxrrnRTnsD/YBMMzuMcJMRQGdgv3cF3X0R4c5tu7ezBijUVUbx5/WiUt5ZtYXffWMUXTJTg44jIgeouSOEk4EphPfgb230eCXhJh/pwMKd0JYzKLcTPzhCndBEEsFeC4K7PwA8YGbfdfcn2iqAuxe01bql7Tw2Zx0rS6v467nj1AlNJEE012R0rrs/BBSY2X/v+by739rEy6QDqKiu47aXi5lQ0J2TD+4VdBwRaSXNNRntHrc4uz2CSPz4y+sr2bKjlvsuGKlOaCIJpLkmo7si369tvzgS69Zt3cl9b63hO4f3Y0z/rkHHEZFWFE1P5Z7ARUBB4+Xd/cK2iyWx6oYXlpOcZPziZHVCE0k00fRDmAG8SXgqzYa2jSOxbM6arTy3aCOXTxpK7y4ZQccRkVYWTUHIcvdftnkSiWmhkPP7Z5fSq3M6U487KOg4ItIGorle8FkzO7XNk0hMm7FwPR+VbOcXJ48gKy2a/QgRiTfRFISfES4Ku8yswswqzayirYNJ7NhV28CNLxYxpn8Xvn1Yv6DjiEgbiWY+hJz2CCKx6+43V7NxezX/873DSErSZaYiiSqaq4yaGsRuO7DW3Vtl5jSJXVuqarhr1ipOPrgXEwZ1b/kFIhK3omkM/j/CI5suitwfDSwGupjZT919ZluFk+D95fVV7Kpr4EpdZiqS8KI5h7ABOMzdx7n7OGAssBr4GnBjW4aTYJV8upOH3lvLWeMGMCRPHdZFEl00BWGYuy/ZfcfdlwIj3H1128WSWHD7KyvA4GeThgYdRUTaQTRNRkvM7E7gscj9ycDSyKxpdW2WTAK1YnMlT84v4cKvDKJv18yg44hIO4jmCGEKsBK4PPK1OvJYHXBCWwWTYN0ys5istBQu1kxoIh1GNJed7gJuiXztqarVE0ngFq7bxotLNnH5pKF075QWdBwRaSfRXHY6FPgjMAr4bAAbd9f4BQnq5plFdO+Uxo+P1Z9YpCOJpsnoPuBOoJ5wE9GDwENtGUqC886qct5cUc7FEweTna4hKkQ6kmgKQqa7vwqYu69192uA09o2lgTB3bn5pSL6dMng3CM1T7JIRxPNLmCNmSUBK8zsEmA9mkUtIb26rJT5n2zjj98ZTUZqctBxRKSdRTu4XRZwGTAO+CFw/oFs1MyuMbP1ZrYg8qXRVAMWCjk3zyyioEcWZ47rH3QcEQlANFcZzYncrAIuaMVt3+buN7fi+uQA/PujDSzfVMkd5xxGanI0+wkikmj2WhDM7JnmXuju32z9OBKEmvoGbplZzIjeOZw+uk/QcUQkIM0dIRwFrAMeBd4HWnvc40vM7DxgLvBzd/+0ldcvUXrwnbV8snUnD144QcNbi3RgzbUN9AauAg4B/ofwYHbl7j7L3We1tGIze8XMFjfxdQbhy1gHEx4obyNNd3rbvZ6pZjbXzOaWlZXtw48m0fh0Ry3/+9oKjh/Wk+OG9Qw6jogEaK9HCO7eALwIvBgZt+gc4A0zu9bd/9zSit19UjQBzOxu4Nlm1jMdmA5QWFjo0axTovc/r66gqqaeaaeNDDqKiASs2ZPKkUJwGuFiUADcATx1oBs1sz7uvjFy99uE51eQdra6rIqH3lvL5PH5DOulifFEOrrmTio/SLi56HngWndvzQ/tG81sLODAGuAnrbhuidINLywnPSWJ//7asKCjiEgMaO4I4VxgB+F+CJeZfXay0QB39877u1F3/+H+vlZax/urtzBz6WauOGkYPXPSg44jIjGguXMIuhg9Qbk7N71URK/O6fzoGA1gJyJh+tDvgGavKGfu2k+55IQhZKZpiAoRCVNB6GDcnVtnFtGvayZnjx8QdBwRiSEqCB3Ma8tLWViynUtPHEJ6io4ORORzKggdiLtz2yvFDOieyXc1gJ2I7EEFoQN5eelmFq+v4LITh2oAOxH5En0qdBChkHPbKyso6JHFtw/rF3QcEYlBKggdxMylm1i2sYJLTxxKio4ORKQJ+mToAEIh5/ZXVjAotxNnjO0bdBwRiVEqCB3Ai0s2sXxTJZd9dYiODkRkr/TpkODqG0Lc9nIxB/XsxDcP1bkDEdk7FYQE98T8ElaUVnHFScNJ1uQ3ItIMFYQEtqu2gVtfLmbsgK58/ZDeQccRkRingpDA7n37YzZX1HDVqSNpNFqtiEiTVBAS1NYdtfz1jVVMGpnHhEHdg44jInFABSFB/fm1leyoreeXp4wIOoqIxAkVhAS0srSKB99dw9mFAxiqqTFFJEoqCAnG3bnu2aVkpiVzxcnDg44jInFEBSHBvLqslNnFZVw+aRi52ZoaU0Sip4KQQGrqG/j9c0sZkpfNeUcNDDqOiMSZwAqCmV1qZsvNbImZ3RhUjkTyt7c+Zu2WnfzuG6M0vLWI7LOUIDZqZicAZwCHunuNmeUFkSORbNpezZ9fW8lJo3px7NCeQccRkTgU1G7kT4Eb3L0GwN1LA8qRMG54YRn1Iefq00YFHUVE4lRQBWEYcKyZvW9ms8xsfEA5EsLcNVt5esEGph57EPk9soKOIyJxqs2ajMzsFaCpAXSmRbbbHTgSGA/808wOcndvYj1TgakA+fn5bRU3btU3hPjdM0vo3TmDi08YHHQcEYljbVYQ3H3S3p4zs58CT0YKwAdmFgJygbIm1jMdmA5QWFj4pYLR0d3/zhqWbKjgL98/nKy0QE4JiUiCCKrJ6GngBAAzGwakAeUBZYlb67bu5JaZxXx1RB6njtZopiJyYILapbwXuNfMFgO1wPlNNRfJ3rk7v5mxGDO47luHaDRTETlggRQEd68Fzg1i24ni3x9t5I2iMn5z+ij6dc0MOo6IJAD1XopDm7ZX85unFzN2QFemHF0QdBwRSRAqCHEmFHKu+NdCautD3DZ5rKbFFJFWo4IQZ+5/Zw1vrSzn6tNHMii3U9BxRCSBqCDEkYXrtnHDC8v56og8vj9BfTJEpHWpIMSJrTtq+elD8+iZk87NZx2qq4pEpNWpJ1McaAg5P3vsQ8p31PLEfxxNt05pQUcSkQSkI4Q4MH32at5cUc513zyY0f27BB1HRBKUCkKMW7x+O7e+XMSpo3szefyAoOOISAJTQYhh1XUN/Nc/FtAtK43rvzVa5w1EpE3pHEIMu/HFIlaUVvHAhRN03kBE2pyOEGLU7OIy7n37Y847aiDHD9MMaCLS9lQQYtCWqhp+/q+FDM3L5qpTRwYdR0Q6CDUZxZhQyLny8Y/YvrOOBy+cQEZqctCRRKSD0BFCjLn91RW8tryUaaeNZGSfzkHHEZEORAUhhry4eBN3vLqCM8f157yjBgYdR0Q6GBWEGDFv7Vb+6x8LOHRAV/6fJrwRkQCoIMSApRsqmHLfHHp3yeCe8wp13kBEAqGCELCPSrZx7t/ep1NaCn//0QR65qQHHUlEOqi4Kgj1ocSadvmtFeWcM/09MlOTeeSiI+jfLSvoSCLSgcVVQSjeXMm/F27APf4Lw6ziMi68fw4Dumfx5MVHc1DP7KAjiUgHF0hBMLN/mNmCyNcaM1sQzevSkpO49NEPmfr3eazftqutY7aZt1eWM/XBuQzJy+axqUfSq3NG0JFERIIpCO4+2d3HuvtY4AngyWheNzgvm6tOHcHs4jJOuPkN/vjCMrbvqmvbsK1sduTIYFBuJx768RF0zdIYRSISGyzI5hcLX1v5CXCiu69oafnCwkKfO3cu67ft4paZRTz14Xo6Z6Ry3lEDmXJ0AT2yY/uE7OvLS/nJQ/M4KLcTD//4iJjPKyKJwczmuXthS8sFfQ7hWGBzNMWgsX5dM7n17LE8e+kxHHlQd/78+kqOvuE1rnlmCZsrqtso6v5zd/7+7hp+/OBchvXK5tGLjlQxEJGY02ZHCGb2CtC7iaemufuMyDJ3Aivd/ZZm1jMVmAqQn58/bu3atV9aZmVpFdNnr+LJ+etJMuOswv78x/GDGdA9+Kt2dtTU8/tnl/LYnHWcOCKP//neWHIyUoOOJSIdSLRHCIE1GZlZCrAeGOfuJdG8ZneT0d6s27qTO2et4vG5JdSHQnxlSC5fP6SBXJxkAAAKwklEQVQP4wu6MbhnNklJ7dv7951V5fzyiY8o+XQXPz1+MD8/aTjJ7ZxBRCQeCsIpwK/d/fhoX9NSQdht4/ZdPPr+Jzz54XpKPg1fjdQlM5VxA7tx0qhefHdcf1KT2661bPH67dw8s4g3isoY2COLm848lAmDurfZ9kREmhMPBeF+4D13/2u0r4m2IOzm7qzZspM5a7Yyb82nfLBmKx+X76CgRxY/mzSU00b3JS2l9QrDytIqbnu5mOcWbaRrVir/cfxgzj+qgMw0DUUhIsGJ+YKwP/a1IOzJ3Xl1WSk3vVRE0eZKeuak84Mj8vn+Efnk5ex/X4CiTZX8ddYqZixYT0ZqMj8+ZhA/Pu4gOutcgYjEABWEZoRCzqwVZTzwzhreKCojOcki5xt6M25g+HxD47b+UMjZtquOnbX1pCYnsX1XHSWf7mTBuu28tnwzi9dXkJWWzA+OyOcnxw8mV1cQiUgMUUGI0sflO/jn3HU8+9EG1m0Nn29IS0kit1MaqSlJ7Kip59OddTQ0MY5SksHo/l35xpg+fOfw/nTvpE5mIhJ7VBD2kbuzsrSKhSXbKd5cydYdtdQ1hMhKS6F7p1Rys9PJSkumrsHpnJlK784ZjOrbmex0zUIqIrEt2oKgT7MIM2NorxyG9soJOoqISCCC7qksIiIxQgVBREQAFQQREYlQQRAREUAFQUREIlQQREQEUEEQEZEIFQQREQHirKeymVUCRUHniEIuUB50iCgoZ+uJh4ygnK0tXnIOd/cWe93GW0/lomi6XwfNzOYqZ+uJh5zxkBGUs7XFU85ollOTkYiIACoIIiISEW8FYXrQAaKknK0rHnLGQ0ZQztaWUDnj6qSyiIi0nXg7QhARkTYSkwXBzE4xsyIzW2lmv2pmue+amZtZu5/ljyajmZ1tZkvNbImZPdLeGSMZms1pZvlm9rqZfWhmH5nZqUHk3JOZ3WtmpWa2OOgsu7WUycx+EPkdLjKzd8zs0PbOGMkR1e/OzMabWb2Zndle2fbYfos5zWyimS2IvIdmtWe+Rhla+rt3MbN/m9nCSM4L2jtjU8xsQOS9vfsz6GctvsjdY+oLSAZWAQcBacBCYFQTy+UAs4H3gMJYywgMBT4EukXu58Xi75Jw2+JPI7dHAWuC/h+IZDkOOBxYHHSWaDMBRzf6e38deD8Wczb633gNeB44MxZzAl2BpUB+5H67v4eizHkV8KfI7Z7AViAtiKx75OoDHB65nQMUN/VZ2vgrFo8QJgAr3X21u9cCjwFnNLHc74E/AdXtGS4imowXAX9x908B3L20nTNCdDkd6By53QXY0I759srdZxN+Y8WMljK5+zu7/96Ed1T6t0uwL+eI5nd3KfAEEMT/JRBVzu8DT7r7J5HlA8kaRU4HcszMgOzIsvXtka057r7R3edHblcCy4B+zb0mFgtCP2Bdo/sl7PFDmNnhwAB3f649gzXSYkZgGDDMzN42s/fM7JR2S/e5aHJeA5xrZiWE9xYvbZ9oCe9HwAtBh2iKmfUDvg3cGXSWFgwDupnZG2Y2z8zOCzrQXvwZGEl4Z2oR8DN3DwUb6YvMrAA4DHi/ueXiracyZpYE3ApMCThKS1IINxtNJLynONvMRrv7tkBTfdk5wP3ufouZHQX83cwOibV/6HhiZicQLgjHBJ1lL24HfunuofBObcxKAcYBXwUygXfN7D13Lw421pecDCwATgQGAy+b2ZvuXhFsrDAzyyZ8NHh5S5li8QhhPTCg0f3+kcd2ywEOAd4wszXAkcAz7XxiuaWMEN4bf8bd69z9Y8Ltd0PbKd9u0eT8EfBPAHd/F8ggPD6L7AczGwPcA5zh7luCzrMXhcBjkffPmcD/mdm3go3UpBLgJXff4e7lhM8ZBnKivgUXEG7acndfCXwMjAg4EwBmlkq4GDzs7k+2tHwsFoQ5wFAzG2RmacD3gGd2P+nu2909190L3L2AcFvtN909qrE62iNjxNOEjw4ws1zCh7+r2zEjRJfzE8J7YJjZSMIFoaxdUyYIM8sHngR+GIN7sZ9x90GN3j+PAxe7+9MBx2rKDOAYM0sxsyzgCMLt4LGm8XuoFzCc9n+vf0nknMbfgGXufms0r4m5JiN3rzezS4CXCF8Jca+7LzGz64C57r7nB1q7izLjS8BJZrYUaACubO89xihz/hy428z+i/DJsSkeuSwhSGb2KOGCmhs5v/E7d/9brGUCUgHc/a/Ab4EehPe4Aeo9gIHPosgZE1rK6e7LzOxF4CMgBNzj7u1+GXIUv8/fA/eb2SLACDfHxcIIqF8BfggsMrMFkceucvfn9/YC9VQWEREgNpuMREQkACoIIiICqCCIiEiECoKIiAAqCCIiEqGCIDHPzBoiI17u/ioIOlNrMrPDzOxvje6fYmYfmNnyyM/7j0gfB8zs/j1HJzWzqmbWnWZms80s5i4xl9ijfxKJB7vcfezenjSzFHcPfDCxA3AV8P8AzOwQ4H8Jd7ZcFnnsm0AB4Q5Q+8Tda83sVWAy8HBrBZbEpCMEiUtmNsXMnjGz14BXI49daWZzInMSXNto2WlmVmxmb5nZo2Z2ReTxN3YPeWJmuZGhHDCzZDO7qdG6fhJ5fGLkNY9H9t4fjvQG3T23wDuRMfE/MLOcyJ752EY53rI95kgwsxxgjLsvjDz0S+APu4sBgLs/Exlxs6XfyXWNjqLWm9l9kaeeBn6wT79g6ZB0hCDxILNRT8uP3f3bkduHE/4w3WpmJxEeK2oC4d6iz5jZccAOwkN2jCX8/z4fmNfC9n4EbHf38WaWDrxtZjMjzx0GHEx4ZMu3ga+Y2QfAP4DJ7j7HzDoDuwgPGzAFuNzMhgEZjT74dysEGve+PRi4uYV8N5nZ1Xs+6O6/BX5rZl2BNwmPwklk/eNbWKeICoLEhb01Gb3s7rvHqT8p8vVh5H424QKRAzzl7jsBzCyaoU9OAsY0aqvvEllXLfCBu5dE1rWAcFPOdmCju88B2D2ipJn9C/iNmV0JXAjc38S2+rCXsaPMrAfho58sYLq77y4UV7r7442Wq2p024CHgFvdfV4kT4OZ1ZpZTmRcfJEmqSBIPNvR6LYBf3T3uxovYGaXN/P6ej5vNs3YY12XuvtLe6xrIlDT6KEGmnkPuftOM3uZ8KREZxMeynlPu/bY9hLCRz4LI2NfjY00cWU383M0dg1Q4u737fF4OsFMJiVxROcQJFG8BFxo4bHfMbN+ZpZHeMjkb5lZZqS9/huNXrOGzz+kz9xjXT+18NDBmNkwM+vUzLaLgD5mNj6yfE6jq3ruAe4A5jSaTa2xZcCQRvdvBKZZeOTZ3bKa2fZnzOwbwCTgsj0e7wGUu3tdNOuRjktHCJIQ3H1m5EP03ch53irgXHefb2b/IDyfdCnhIcF3uxn4p5lNBRrPvncP4aag+ZEmmDJgr/MFRK7kmQz8r5llEt7rnwRUufs8M6sA9txj3/3a5RaepD3H3SvdfZGFJ0N/MHIuopzw1UW/i+LX8N+EZ8T7IPI7eCZyXuGEPX4+kSZptFPpUMzsGsIf1C2duG2t7fUF3gBG7G0WOgsPPV7p7ve0UYYngV/F8hwNEhvUZCTSRiw8B/D7wLQWpiS9ky+em2jNDGnA0yoGEg0dIYiICKAjBBERiVBBEBERQAVBREQiVBBERARQQRARkQgVBBERAeD/A38hmilNvsUaAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cascade.s11.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"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": 2
|
|
}
|