{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#
Impedančna spektroskopija
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
Dejan Križaj, 2019
\n", "\n", "**Namen:** Zvezek (Notebook) je namenjen seznanjanju študentov z uporabo Jupytra pri impedančni spektroskopiji. Gre v bistvu za merjenje impedanc v določenem frekvenčnem spektru (obsebu frekvenc) in nato analizo izmerjenih impedanc. Posebnost je obravnava impedance (ali admitance) v kompleksni ravnini vendar ne v obliki kazalcev pač pa kot krivulje, kjer je parameter frekvenca. Impedančna spektroskopija se uporablja pri zelo različnih raziskavah, od klasičnih elektrotehniških (analize bolj kompleksnih elementov, senzorjev, transformatorjev, ...), do elektrokemijskih (baterije) in celo bioloških (na nivoju celotnega telesa, dela telesa, celice).\n", "\n", "**Prej bi lahko predelal tudi:**\n", "* O obravnavi vezij vzbujanih z izmeničnimi signali s kompleksnim računom\n", "* O obravnavi resonančnih vezij\n", "* O frekvenčnih lastnostih realnih elementov" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Namig: Obstajata dve verziji tega dokumenta. Ena je v obliki html datoteke (končnica html), ki je ni mogoče izvajati, druga pa ima končnico ipny (Jupyter Notebook), ki jo lahko izvajamo z Jupyter aplikacijo. To aplikacijo imate lahko naloženo na vašem računalniku in se izvaja v brskalniku, lahko jo ogledujete s spletno aplikacijo nbViewer, s spletnimi aplikacijami Binder ali Google Colab pa jo lahko tudi zaganjate in spreminjate. Več o tem si preberite v \n", "tem članku.\n", "
\n", "Za izvajanje tega zvezka ne potrebujete posebnega znanja programiranja v Pythonu, lahko pa poljubno spreminjate kodo in se sproti učite tudi uporabe programskega jezika. Več podobnih primerov je na Githubu na https://github.com/osnove/Dodatno/\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Impedančna spektroskopija v praksi\n", "\n", "Obravnava impedančne spektroskopije morda nekoliko presega običajni obseg snovi pri predmetu Osnove elektrotehnike. Kljub temu pa je zanimivo pogledati eno od mnogih možnih uporab koncepta impedance. Običajno se impedančno spektroskopijo uporablja kot obrnjen postopek. Pomeni, da samega vezja ne poznamo (black box), smo pa izmerili impedanco v določenem frekvenčnem območju in nas zanima oblika nadomestnega vezja, ki bi najbolj ustrezala izmerjeni impedanci. Ni sicer nujno, da poiščemo model nadomestnega vezja, saj nas lahko v določenih primerih zanima le odziv vezja na na določene spremembe. Impedančno spektroskopijo seveda izvajamo tudi na električnih vezjih in strukturah vendar bom v tem zvezku prikazal morda manj znano uporabo impedančne spektroskopije v kemiji in biologiji.\n", "\n", "\n", "Poglejmo si nekaj konkretnih primerov, ki jih bomo povzeli po par strokovnih člankih.\n", "
\n", "1. Članek Marco Grossi and Bruno Riccò: \"Electrical impedance spectroscopy (EIS) for biological analysis and food characterization: a review\", J. Sens. Sens. Syst., 6, 303–325, 2017. https://www.j-sens-sens-syst.net/6/303/2017/jsss-6-303-2017.pdf \n", "\n", "Avtorja v članku opisujeta vrsto možnih uporab impedančne spektroskopije. Spodnja slika kaže primer bioimpedančnega senzorja prisotnosti bakterije E-Coli ali Salmonele, ki se jo želi zaznavati že v zelo majhnih koncentracijah. To omogoča priprava merilne elektrode, ki je prevlečena z bioreceptorjem, ki omogoča, da se nanj vežejo omenjene bakterije, s čimer se spremeni električna upornost. Na sliki je tudi modelno vezje, kjer je Rs upornost elektrolita, Cdl kapacitivnost med elektrodo in elektrolitom (t.i. dvojna plast - double layer), Rct upornost pri prenosu naboja (charge transfer resistance) in ZW t.i. Warburgova impedanca, kot posledica difuzijskih procesov. \n", " \n", "Warburgova impedanca pogosto nastopa pri analizi elektrokemijkih procesov z impedanco, saj se izkaže, da se difuzijski proces ne more analizirati s preprostimi R, L, C elementi pač pa je potreben element, ki ohranja fazni kot pri spremembah frekvence. Bolj splošno te elemente imenujemo CPE (constant phase element). Warburgovo impedanco zapišemo kot $\\underline{Z}_W = \\frac{A_W}{\\sqrt\\omega}(1-j)$. Vidimo, da Warburgova impedanca ohranja s frekvenco fazni kot $45^o$. \n", "Iz slike razberemo tudi značilno obliko prikaza spreminjanja impedance s frkvenco v kompeksni ravnini. Podobne oblike bomo obravnavali v nadaljevanju. Taki obliki grafa pogosto rečemo tudi Nyquistov graf.\n", "\n", "\n", "
\n", " \n", "\n", "Slika na desni prikazuje tipično uporabo impedance pri analiziranju sestave človeškega telesa. Pri tem se uporabi štiri-elektrodno meritev, kar pomeni, da se dve elektrodi uporabi kot vzbujalni, na drugih dveh pa se meri napetost. Te metode običajno imenujemo bioimpedančne meritve. \n", "Prednost štirielektrodne konfiguracije je, da se izognemo zaznavanju impedance na stiku elektroda/elektrolit (elektroda/koža), ki je lahko zelo kompleksen za obravnavo in zaradi velike kapacitivnosti stika tudi omeji zaznavanje sprememb pri nizkih frekvencah. Tipično se iz meritev uporabi za določanje vsebnosti vode in množine maščobe ali mišične mase. \n", "\n", "\n", "
\n", " \n", "\n", "Spodnja slika kaže električni model biološke celice. R1 predstavlja upornost celične stene, R2 je upornost citoplazme, R3 je upornost vakuole (organeli), C1 kapacitivnost celične membrane (plazmaleme), C2 kapacitivnost tonoplasti (notranje membrane). S spremljanjem impedance celice lahko zaznavamo spremembe, ki se na njej dogajajo. Na primer spremljamo zorenje sadja, staranje ali odmiranje celic, vpliv zdravil na celice, vpliv elektroporacije - spreminjanje začasne propustnosti celic s kratkimi električnimi pulzi) in podobno.\n", "\n", "\n", "\n", "\n", "

\n", "2. Članek: Karkera, Guruprakash & Prakash, Annigere. (2018). An Inorganic Electrolyte Li-O2 Battery with High Rate and Improved Performance. ACS Applied Energy Materials. 1. 10.1021/acsaem.8b00095. \n", "\n", "Avtorji v članku obravnavajo elektrolitsko litij-zrak baterijo. Med drugim za analizo delovanja uporabijo impedančno spektroskopijo in ugotovijo, da lahko iz prvega dela spektra (a, modra) razpoznajo upornost povezovalnih kablov, (b, zelena, polkrog) impedanco na anodni strani Z1, (c - viola in rjava, večji poklrog) predstavlja prispevek katode. Skupna nadomestna impedanca je tako serijska vezava impedance kablov ter dveh uporov vzporedno z t.i. CPE elementom ( o tem kasneje) ter na koncu še zaporedne vezave kondenzatorja in upora:
\n", " \n", "\n", " The electrochemical impedance spectroscopy (EIS) measurements revealed the role of molten nitrate electrolytes in a Li−O2cell. The typical impedance spectra depicted in Figure 5 indicate the following contributions: (a) resistance from electrolyte and connectivity cables (Ze, blue shaded), (b) small semi circle indicating the anodic contribution (Z1, green), resulting from the Li−electrolyte interphase at higher frequencies, which also comprises a surface SEI layer on the Li metal, (c) a bigger semicircle (Z2, pink) and inclined line Z3(brown) comprising the cathodic contributions, i.e., kinetic and mass transfer reactions.The impedance data have been analyzed using the equivalent circuit Re(Q1R1)(Q2R2)(CR3) given in Figure 5a,where R implies the resistance contributions of different components of battery, C is the capacitance contributions, and Q is the constant phase element (CPE).
\n", " \n", "\n", "3. Članek: Eker B, Meissner R, Bertsch A, Mehta K, Renaud P (2013) Label-Free Recognition of Drug Resistance via Impedimetric Screening of Breast Cancer Cells. PLOS ONE 8(3): e57423. https://doi.org/10.1371/journal.pone.0057423 \n", "\n", "Avtorji analizirajo možnost uporabe impedančne metode za analizo vpliva zdravil (drug resistance) na rakave celice. \n", " \n", " \n", "\n", "Gre za uporabo impedančne spektroskopije na bioloških sistemih, zato se je s časom oblikovalo posebno raziskovalno področje bioimpedančne spektroskopije. Posebnosti je več, morda najbolj zanimiva je ta, da se je izkazalo, da s klasičnimi električnimi elementi (upor, kondenzator, tuljava) ni mogoče dobro opisati izmerjene impedance na bioloških sistemih. Zato so se oblikovali novi modeli, ki so predvsem matematični in nimajo prave fizikalne razlage. Najbolj pogosta je uporaba t.i. člena s konstantno fazo ali CPE, ki ga delno že poznamo iz elektrokemije kot Warburgov element. Impedanca CPE je $\\underline Z_{CPE}=\\frac{1}{(j \\omega C)^\\alpha}$, kjer je $\\alpha$ koeficient med 0 in 1. Če je $\\alpha = 1$ imamo enačbo kondenzatorja, sicer pa nek element" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "## Vzporedna vezava upora in kondenzatorja\n", "\n", "Obravnavajmo najprej primer vzporedne vezave upora in kondenzatorja. Poglejmo, kakšno obliko ima impedanca ali admitanca v kompleksni ravnini in frekvenčnem prostoru.\n", "\n", "Izhajamo iz admitance $\\underline{Y}(u)=G+j \\omega C$. Impedanca je seveda $\\underline{Y}=\\frac{1}{\\underline{Z}}$.\n", "Izrišimo tako impedanco kot admitanco v kompleksni ravnini." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Admitanca in impedanca v kompleksni ravnini\n", "from funkcije import complex_plane3\n", "import numpy as np\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline \n", "\n", "G=10\n", "C=10e-3\n", "omega=np.linspace(0,2000,10) # izdelamo 10 točk od 0 do 2000, linearno\n", "Y=G+1j*omega*C\n", "Z=1/Y\n", "\n", "plt.subplots(figsize=(10, 6))\n", "plt.subplot(1,2,1)\n", "plt.plot(Y.real, Y.imag, 'ko')\n", "plt.title('Admitanca')\n", "plt.xlabel('Re[Y]')\n", "plt.ylabel('Im[Y]')\n", "plt.subplots_adjust(right=2)\n", "\n", "\n", "plt.subplot(1,2,2)\n", "plt.plot(Z.real, Z.imag, 'ko')\n", "plt.title('Impedanca')\n", "plt.xlabel('Re[Z]')\n", "plt.ylabel('Im[Z]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Točke z vrednostmi admitance se, kot pričakovano, nizajo v smeri Y osi z naraščanjem frekvence. Točke impedance imajo bolj nenavadno obliko, so na negativni strani imaginarne osi in kažejo polkrožno obliko. \n", "Osnovni princip preslikave iz admitančne kompleksne ravnine v impedančno je, da se preslika pozitivni kot v negativnega (in obratno) ter velika amplituda v majhno (in obratno) saj velja:\n", "\n", "$\\underline{Y}=Y e^{j\\varphi} $ in \n", "\n", "${\\underline Z}=\\frac{1}{\\underline Y}=\\frac{1}{Y e^{j\\varphi}} = Z e^{-j\\varphi}$\n", "\n", "Bolj jasno sliko dobimo, če imata Re in Im os enaki velikosti. To naredimo v spodnjem grafu za impedanco, poleg tega povečamo frekvenčno območje ter obrnemo imaginarno os, tako, da rišemo negativno imaginarno os. To je tudi običajno v praksi." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Izris impedance z obrnjeno Y osjo\n", "omega=np.linspace(0,20000,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "Y=G+1j*omega*C\n", "Z=1/Y\n", "plt.subplots(figsize=(10, 6))\n", "plt.plot(Z.real, -Z.imag, '-ko')\n", "plt.title('Impedanca')\n", "plt.xlabel('Re[Z]')\n", "plt.ylabel('-Im[Z]')\n", "plt.axis('scaled')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Povezane točke tvorijo pravi polkrog (ne elipse). To bi lahko ugotovili tudi teoretično, če bi ustrezno razdelali enačbo za admitanco v impedanco. Poleg tega ugotovimo, da se točke impedance zelo gostijo v smeri proti koordinatnemu izhodišču z večanjem frekvence. To tudi pomeni, da merjenje impedance z linearnim večanjem frekvence ni ravno najbolj optimalno, saj pri nižjih frekvencah izgubljamo informacijo, pri višjih pa ni mnogo novih informacij, saj se med točkami impedanca malo spreminja.\n", "\n", "Zato je bolj običajno, da se impedanco določa z bolj enakomerno razporejenimi vrednostmi frekvence. Poskusimo eksponentno. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "code_folding": [], "tags": [ "Nyquist" ] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmsAAAFTCAYAAABmjUu5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3Xl8lNXd9/HPLwkBAi4QaZUlGVyqQgWXINCK2HKrKDdCXVgaBSsa9dFXUXDDKK5zi1uRKo8alFbpaLACymNVtKVaVFCDgogLRU0AqSIBDCFsyZznj0xyZ4WEZOaa5ft+veblzLnOZH7hEvLNua5zjjnnEBEREZHolOR1ASIiIiLSOIU1ERERkSimsCYiIiISxRTWRERERKKYwpqIiIhIFFNYExEREYliCmsiIvthZpea2Tte1yEiiUlhTUSimpkVmtl/eV2HiIhXFNZEREREopjCmojEhNClyHfNbLqZbTOzr83sF6H29Wa2yczG1+j/ZzN7wszeNLPtZva2mWXWOH5c6NgWM/vSzEbVOJZuZgvNrMTMPgCOqlPLjNBnlpjZcjMbVOPYnWb2gpk9G/rc1WaWVeN4DzObb2Y/mFmxmT0Waj/KzBaH2jabWcDMDg3TH6eIxBCFNRGJJf2BT4B04DkgH+gHHA1cDDxmZh1r9M8G7gEOA1YAAQAz6wC8GfoaPwHGAv/XzHqH3jcT2AUcAVwWetT0IXAi0Dn0Nf5qZu1qHD8vVNuhwEKgKpAlA68ARYAP6BbqB2DAfUBX4HigB3Bnc/5wRCQ+mfYGFZFoZmaFwOVAdyDXOXdMqP0EKoPb4c6570NtxcAQ59wKM/sz0M45NyZ0rCPwI5Uh6RfAtc65miNiTwIbgXupDGonOOe+CB37H+B059xpjdS4FTjDObfSzO4ETnPO/VfoWC9guXOuvZkNpDK8HeGcK9/P9z0SuMM5d1Jz/rxEJP6keF2AiEgzfF/j+U6AqqBWo63myNr6qifOuVIz20LlyFUm0N/MttXomwLMAbqEnq+vcayoZhFmNpnKANkVcMDBVI7eVfmuxvMyoJ2ZpVA5WlbUUFAzs58AfwQGAQdReeVja91+IpJ4dBlUROJZj6onoZG1zlSOnq0H3nbOHVrj0dE5dzXwA1Be871ARo2vMwi4GRgFdHLOHUrliJ01oZ71QEYouNV1H5XBr49z7mAqL+s25WuKSJxTWBOReHaumZ1mZqlU3rv2vnNuPZX3jf3MzC4xszahRz8zO945VwHMB+40s7TQZczxNb7mQVSGuR+AFDObSuXIWlN8APwHmGZmHcysnZn9ssbXLQW2mVk34MYWfu8iEicU1kQknj0H3AFsAU6hcsIBzrntwFnAGCpH2r4D7gfaht53LZWXU78D/gz8qcbXXAS8Bqyh8vLoLmpfMm1UKAgOp3JCxDpgAzA6dPgu4GQqR+n+RmVgFBHRBAMRiU+hCQYbnHO3eV2LiEhLaGRNREREJIoprImIiIhEMV0GFREREYliGlkTERERiWIKayIiIiJRLG52MDjssMOcz+fzugwRERGR/Vq+fPlm51yXpvSNm7Dm8/koKCjwugwRERGR/TKzov33qqTLoCIiIiJRTGFNREREJIoprImIiIhEMYU1ERERkSimsCYiIiISxRTWRERERKKYwpqIiIhIFAtrWDOzoWb2pZmtNbNbGjje1szmho6/b2a+ULvPzHaa2YrQ44lw1iki0lKBQACfz0dSUhI+n49AIOB1SSISJ8IW1swsGZgJnAP0AsaaWa863SYAW51zRwPTgftrHPvKOXdi6HFVuOoUkfgT6eAUCATIycmhqKgI5xxFRUXk5OQosIlIqwjnDganAmudc18DmFk+MAL4rEafEcCdoecvAo+ZmYWxJhGJc1XBqaysDICioiIuv/xy1q1bx9ChQ6moqGiVRzAYrH5+1113VX9elbKyMm6++WYuuugiUlNTvfijEJE4Yc658HxhswuBoc65y0OvLwH6O+eurdHn01CfDaHXXwH9gY7AamANUALc5pxb0sBn5AA5ABkZGacUFTV55wYRiWHBYJDvvvuOwsJCvvnmm1qPf/3rX1RUVHhdYi1dunShW7dudOvWja5du1Y/r9mWnp5Oc39XDQQC5Obmsm7dOjIyMvD7/WRnZ4fpuxCR1mRmy51zWU3pG86RtYb+1ambDBvr8x8gwzlXbGanAC+ZWW/nXEmtjs7lAXkAWVlZ4UmdItIiBxIonHMUFxfXC2NVrwsLC9m9e3et9xx++OH07Nmz0aBmZsyfP5/k5ORWfSQlJXHiiSeyfv36ep/ZuXNnJk6cyLfffsvGjRv59ttv+fDDD9m0aVO9vm3btq0V5BoLde3atav+c607gpiTkwOgwCYSZ8I5sjYQuNM5d3bo9RQA59x9NfosCvVZamYpwHdAF1enKDN7C7jBOdfoTu1ZWVlOG7mLRJe6gQIgLS2NvLw8zjvvvAaDWNWjtLS01tfq3LkzPp+Pnj171nr4fD58Ph/t27cHwOfz0dAoe2ZmJoWFhRH/PhsKTnv27OE///lPdYCretR9XffSKlT+OXTr1o1///vf7Nq1q97xcH6fItJ6mjOyFs6wlkLlZcwhwLfAh8BvnXOra/S5BjjBOXeVmY0BznfOjTKzLsAW51yFmR0JLAn129LY5ymsiUSfzMxM1q1bV689KSmJYDBYq61Dhw71QljN54ccckiTPrO5wam1tPYlSeccJSUltcJbzUD38ssvN/reO++8k4EDB9K/f/8m/7mJSGRFRVgLFXIu8AiQDMx2zvnN7G6gwDm30MzaAXOAk4AtwBjn3NdmdgFwN1AOVAB3OOf+374+S2FNxHvBYJBVq1bx9ttv8/bbbzN//vxG+06bNq1WGDvssMOafc9WYxLhXq7GRhDbtGlDeXk5zjnMjF69ejFgwAAGDhzIwIEDOe6440hK0hKbIl6LmrAWSQprIpFXUVHBypUrq8PZkiVL2LKlcgA8MzOTzZs3s2PHjnrv06W6ltvXCOLw4cP54IMPWLp0KcuWLWPZsmXV5+XQQw+lf//+1eFNo28i3lBYE5GwKC8v56OPPqoOZ++88w4//vgjAEceeSSDBw+uflStb+bFJclE0dQRROcca9asYenSpdWPTz/9tNboW1V4GzhwIMcee6xG30TCTGFNRFrFnj17KCgoqA5n7777bvWN/z/72c9qhbPu3bs3+DUS4ZJkLCopKakefasagdu6dStQOfpW89Jp//79Ofjgg3UuRVqRwpqINGpfP3B37drFBx98UB3O3nvvPXbu3AlAr169qoPZ6aefzhFHHOHltyGtLBgM1ht9W716dfXoW7du3fjuu+8oLy+vfo9GSUUOnMKaiDSoocuSbdu25dxzz2XLli0sW7asev2yPn361ApnXbp08aps8ciPP/5YPfp23333NbhUSNeuXfn22289qE4ktimsiUiDGptBCHDyySdXh7NBgwbRuXPnCFcn0SwpKYnGfl7069ePMWPGMGrUqEYvh4tIbdGyg4GIRIlt27bxwgsvNBrUzIzly5dHuCqJJRkZGQ3+/3PooYcSDAaZPHkykydPZtCgQYwePZoLL7yQn/70px5UKhJ/NN1HJE7t3buXV155hVGjRnH44Ydz5ZVXkpLS8O9nGRkZEa5OYo3f7yctLa1WW1paGo899hgFBQWsWbOGe+65h+LiYq699lq6du3KmWeeydNPP129bIiIHBiFNZE44pzj448/5vrrr6d79+4MHz6cxYsXk5OTw4cffsif//znBn/g+v1+jyqWWJGdnU1eXh6ZmZmYGZmZmbUmFxxzzDHcdtttrF69mlWrVjFlyhS++eYbLr/8cg4//HCGDx/OX/7yF7Zv3+7xdyISe3TPmkgc2LhxI4FAgGeffZZPP/2UNm3aMHz4cMaNG8c555xDampqdV8tvyCR4pzjo48+Ij8/n7lz57J+/XratWvHsGHDGDNmDMOGDave01Uk0WiCgUgCKCsr46WXXuLZZ5/lzTffJBgMMmDAAMaNG8eoUaNIT0/3ukSRasFgkKVLl5Kfn88LL7zApk2b6NixIyNGjGDMmDGcddZZtX6pEIl3zQlrugwqEkOCwSBvvfUWl112GT/96U/Jzs7m888/59Zbb+XLL79k6dKlXH311QpqEnWSkpL45S9/yaOPPsrGjRv5xz/+wdixY3n11VcZPnw4P/3pT5kwYQJvvvkm5eXlBAIBfD4fSUlJ1bthiCQqjayJxIA1a9YwZ84c5syZQ1FRER07duSiiy5i3LhxnH766doaSGLWnj17+Pvf/05+fj4vvfQS27dv56CDDmLnzp1agFfimi6DisSguveS3XrrrVRUVPDss8+ybNkykpKSOPPMMxk3bhwjR46sN1FAJNbt3LmT1157jUsuuaTWws1VMjMzKSwsjHxhImGgsCYSYxraWaBK7969GT9+PNnZ2XTt2tWD6kQia18L8O7YsUO/qEhc0KK4IjFmypQpDQa1I444glWrVmFmHlQl4o3GFuCFytG1iRMncs0119CpU6cIVybiDd3oIuKhsrIypk+fzvr16xs8/t133ymoScJpbAHe22+/nf79+3P77beTkZHB5MmT2bBhg0dVikSOwpqIB3bs2MFDDz1Ez549mTRpEm3btm2wn3YWkETU2AK8d999N6+88gorV65kxIgRzJgxgyOPPJIJEybw5Zdfel22SNgorIlE0Pbt25k2bRo+n48bb7yRvn37smTJEp5++mntLCBSQ3Z2NoWFhQSDQQoLC2vNAu3Tpw9/+ctf+Pe//01OTg7PPfccxx9/PBdccAEffvihh1WLhIfCmkgElJSU4Pf78fl8TJkyhaysLN577z3eeOMNTjvttP1u5SMi9fXs2ZPHHnuMoqIibr31VhYvXsypp57KkCFDePPNNxudpCASazQbVCSMtm3bxh//+EemT5/Otm3bGDZsWPV9NyLSurZv305eXh5/+MMf2LhxIyeffDK33HIL559/PsnJyV6XJ1KLdjAQ8djWrVu544478Pl83HHHHZx++ukUFBTwyiuvKKiJhMlBBx3E5MmT+frrr3nqqacoLS1l1KhRHHfcceTl5bFr1y6vSxQ5IAprIq2ouLiY2267jczMTO6++25+/etf89FHH/Hyyy9zyimneF2eSEJo27YtEyZM4LPPPuPFF1/k0EMP5corr6Rnz5488MADlJSUaDsriSm6DCrSCjZv3szDDz/MY489RmlpKRdeeCG33347ffr08bo0kYTnnGPx4sVMmzaNv//977Rv3569e/dqOyvxlC6DioRBQ7+Jb9q0iZtuugmfz8f999/PsGHDWLVqFX/9618V1ESihJlVTzooKCjAzGoFNahc8zA3N9ejCkX2TSNrIk3Q0HZQKSkpmBkVFRWMGTOG2267jeOPP97DKkWkKRrbzsrMCAaDHlQkiUjbTYm0stzc3HrbQZWXl9OhQweWL1/Oscce61FlItJcjW1nlZqaymeffUavXr08qEqkcboMKtIE69ata7C9rKxMQU0kxjS0nVVqairJycn07duXG2+8ke3bt3tUnUh9Cmsi+/H555+Tmpra4DFtByUSexpahHr27NkUFRVx6aWX8tBDD3HccceRn5+vhXUlKiisiTRi165dTJ06lb59+5KcnFwvsGk7KJHY1dB2VocddhizZs1i2bJlHHHEEYwdO5YhQ4bw2WefeV2uJDiFNZEGLF68mD59+nDPPfcwevRovvnmG2bPnq3toEQSQP/+/Xn//fd5/PHHWbFihS6Niuc0G1Skhs2bN3PDDTfwzDPPcNRRR/H4449z5plnel2WiHhk8+bNTJkyhaeeeoquXbvy8MMPM3r0aMzM69IkxmmdNZFmcs7xzDPPcNxxxxEIBLj11ltZtWqVgppIgtOlUYkGCmuS8NasWcOQIUO49NJLOfbYY1mxYgV+v5/27dt7XZqIRAldGhUvKaxJwtq9ezf33HMPffr04aOPPuKJJ55gyZIl9O7d2+vSRCQKJScnc9VVV7FmzRrNGpWIUliThLRkyRJOOukkpk6dysiRI/niiy+48sorSUrSXwkR2beqS6NLly7l8MMPr3VpVBvESzhoBwNJKFu2bOHmm2/mqaeeIjMzk1dffZVzzjnH67JEJAYNGDCADz74gFmzZnHrrbfy85//nOTk5Op9R4uKisjJyQHQzHFpEc0GlYTgnOP555/n+uuvp7i4mEmTJnHHHXfQoUMHr0sTkTiwefNmevbsSWlpab1jmZmZFBYWRr4oiWqaDSoJr+aliG7dutGnTx+ys7Px+XwsX76cBx54QEFNRFrNYYcdxo4dOxo81th2dSJNpcugEncCgQA5OTnVG69v3LiRjRs3Mm7cOGbPnk1ycrLHFYpIPGpsg/iuXbt6UI3EE42sSdzJzc2tDmo1vf322wpqIhI2DW0QD7Bt2zYWLlzoQUUSLxTWJO40dslBlyJEJJwa2iD+4Ycf5thjj2XEiBFcd9117N692+syJQaFNayZ2VAz+9LM1prZLQ0cb2tmc0PH3zczX53jGWZWamY3hLNOiQ8VFRXcdtttja53lJGREeGKRCTR1N0gftKkSbz33nv8/ve/Z8aMGfzyl7/kq6++8rpMiTFhC2tmlgzMBM4BegFjzaxXnW4TgK3OuaOB6cD9dY5PB14LV40SPzZt2sTZZ5+N3+9n8ODB9XYfSEtLw+/3e1SdiCSytm3bMmPGDBYsWMDXX3/NSSedRH5+vtdlSQwJ58jaqcBa59zXzrk9QD4wok6fEcAzoecvAkMstDuumY0EvgZWh7FGiQPvvfceJ598Mu+++y5PP/00b731FrNmzap1KSIvL0/rHImIp0aOHMmKFSs44YQTGDt2bK2JUCL7Es6w1g1YX+P1hlBbg32cc+XAj0C6mXUAbgbuCmN9EuOcczzyyCMMHjyYdu3asXTpUi677DKg/qUIBTURiQYZGRm89dZb3HLLLcyaNYtTTz1Vm8LLfoUzrFkDbXVvJmqsz13AdOdc/dUFa77ZLMfMCsys4IcffjjAMiUWlZSUMGrUKK6//nqGDRtGQUEBJ554otdliYjsV5s2bbjvvvt4/fXX2bRpE1lZWcyePVv7i0qjwhnWNgA9arzuDmxsrI+ZpQCHAFuA/sADZlYIXAfcambX1v0A51yecy7LOZfVpUuX1v8OJCqtWrWKfv36sWDBAu6//34WLFjAoYce6nVZIiLNcvbZZ7Ny5UoGDhzIhAkTuOSSS9i+fbvXZUkUCmdY+xA4xsx6mlkqMAaou9DMQmB86PmFwGJXaZBzzuec8wGPAP/jnHssjLVKjJgzZw79+/enpKSEf/zjH9x0002EbnMUEYk5RxxxBG+88QZ33303zz//PKeccgoff/yx12VJlAlbWAvdg3YtsAj4HHjBObfazO42s/NC3Z6m8h61tcAkoN7yHiIAu3bt4qqrrmLcuHH069ePjz76iMGDB3tdlohIiyUnJ3P77bfzz3/+kx07djBgwAAee+yxWtvm+Xw+AoGA16WKR7SRu0S9b775hosuuojly5dz00034ff7SUnRTmkiEn82b97MpZdeyt/+9jeSk5OpqKioPpaWlqaZ7XGkORu5K6xJVPvb3/7GJZdcQjAY5JlnnmHEiLqrv4iIxJdgMMhhhx3G1q1b6x3LzMyksLAw8kVJq2tOWNN2UxJVag77H3LIIfz3f/83GRkZLF++XEFNRBJCUlIS27Zta/CYts1LTAprEjUCgQA5OTkUFRXhnKOkpITk5GQmTpzIUUcd5XV5IiIR09j2eNo2LzEprEnUyM3Nrbead0VFBXfdpbWRRSSx+P1+0tLS6rUPGDBA67ElIIU1iRqNDe9r2F9EEk12djZ5eXnV2+ZlZGTQv39/5s6dy8SJE2tNPJD4p7AmUeGVV15p9LdFDfuLSCKquW1eUVER7733HpMmTeLRRx9l9OjR7Nq1y+sSJUIU1sRzzz77LCNHjsTn89G+fftax9LS0vD7/R5VJiISPZKSknj44Yd5+OGHmTdvHmeddVaDM0Yl/iisiaceeeQRxo8fz+DBg/nkk0+YNWtW9bB/Zmam1hQSEalj0qRJPP/887z//vucdtppulUkAWidNfGEc47bb78dv9/P+eefTyAQoF27dl6XJSISM9566y1GjhxJhw4deO211+jTp4/XJUkzaJ01iWoVFRVcffXV+P1+Lr/8cl544QUFNRGRZjrjjDNYsmQJZsagQYNYvHix1yVJmCisSUTt3r2bsWPH8uSTT3LLLbeQl5dHcnKy12WJiMSkE044gaVLl9KjRw+GDh1Kfn6+1yVJGCisScSUlpYyfPhw/vrXv/LQQw9x3333YWZelyUiEtN69OjBkiVLGDhwIGPHjuXhhx/WWmxxRmFNIqK4uJghQ4awePFi/vSnPzF58mSvSxIRiRudOnVi0aJFXHTRRdxwww1MmjSJYDDodVnSShTWJOw2bNjAoEGDWLlyJfPmzePSSy/1uiQRkbjTrl078vPzmThxIo888gi/+MUvyMjIICkpCZ/PRyAQ8LpEOUApXhcg8W3NmjWceeaZbN26lUWLFjF48GCvSxIRiVtJSUlMnz6dTZs28fzzz1e3FxUVkZOTA6DlkGKQRtYkbJYvX85pp53Grl27ePvttxXUREQiwMx477336rWXlZWRm5vrQUXSUgpr0qoCgQA+n4+kpCT69etHMBjknXfe4aSTTvK6NBGRhKG9luOLwpq0mkAgQE5ODkVFRTjncM5RVlbGBx984HVpIiIJpbE9lbt37x7hSqQ1KKxJq8nNzaWsrKxW286dOzXsLiISYX6/n7S0tHrt6enp7Nmzx4OKpCUU1qTVaNhdRCQ6ZGdnk5eXV2uv5d/97nesWLGCiy++mPLycq9LlGbQbFBpFR999FGjxxobjhcRkfDJzs6uN/Ozd+/e3HDDDXTo0IGnn36apCSN2cQChTVpsTVr1jB06FA6d+5MWVkZO3furD6WlpaG3+/3sDoREakyefJkSktLufPOO+nQoQOPPvqodpKJAYrU0iIbNmzgzDPPBGDp0qXMmjWr1rB7Xl6e1vQREYkiU6dOZfLkycycOZMpU6Zoa6oYoJE1OWDFxcWcffbZbN26lbfeeotjjjmGY445RuFMRCSKmRkPPvggO3bs4P777+eggw7SRLAop7AmB6S0tJRhw4bx1Vdf8frrr3PyySd7XZKIiDSRmTFz5kxKS0u57bbb6NixIxMnTvS6LGmEwpo02549e7jgggv48MMPmT9/PmeccYbXJYmISDMlJSXxpz/9iR07dnDdddfRsWNHJkyY4HVZ0gDdsybNUlFRwbhx43jjjTd46qmnGDFihNcliYjIAUpJSeH5559n6NChXHHFFbX2E5XoobAmTeac49prr2Xu3Lk8+OCD/O53v/O6JBERaaG2bdsyb948Bg0axCWXXMLkyZOrtw30+XwEAgGvS0x4Fi+zQLKyslxBQYHXZcS1qVOncs8993DzzTczbdo0r8sREZFWVFJSwoknnsg333xTqz0tLU0z+8PAzJY757Ka0lcja9Ikf/zjH7nnnnuYMGEC9913n9fliIhIKzv44IPZu3dvvfaysjLNFvWYwpo0KBAIVA+DH3bYYUycOJHzzz+fJ554QgsoiojEqW+//bbBdm0b6C2FNaknEAiQk5NDUVERzjmKi4tJSkpi+PDhpKRoArGISLxqbHtAbRvoLYU1qSc3N5eysrJabcFgkDvvvNObgkREJCL8fj9paWm12pKTk7n33ns9qkhAYU0a0Nhwt4bBRUTiW3Z2Nnl5edXbBnbq1ImKigq+/vprr0tLaAprUk+PHj0abNcwuIhI/MvOzqawsJBgMEhxcTHjxo3jjjvuYMGCBV6XlrAU1qSeo446ql5bWloafr/fg2pERMQrZsaTTz5Jv379uOSSS1i1apXXJSUkhTWpZdasWfzzn//kvPPOqx4Gz8zM1Bo7IiIJql27dixYsICDDz6YESNGUFxc7HVJCUdT+6Ta+++/z7XXXsvZZ5/N/PnzSU5O9rokERGJAt26dWP+/PkMHjyYUaNGsWjRIq0OEEEaWRMAvv/+ey644AK6devGc889p6AmIiK1DBgwgCeffJLFixczefJkr8tJKIrFwt69exk9ejRbtmxh6dKldO7c2euSREQkCl166aWsXLmSRx55hL59+3LZZZd5XVJC0MiacNNNN/H222+Tl5dH3759vS5HRESi2IMPPsh//dd/cfXVV7N06VKvy0kICmsJ7rnnnuORRx7h97//PRdffLHX5YiISJRLSUlh7ty5dO/end/85jds2LDB65LiXljDmpkNNbMvzWytmd3SwPG2ZjY3dPx9M/OF2k81sxWhx0oz+00460xUn3zyCZdffjmDBg3ioYce8rocERGJEZ07d2bhwoXs2LGD008/nYyMDJKSkvD5fAQCAa/LizthC2tmlgzMBM4BegFjzaxXnW4TgK3OuaOB6cD9ofZPgSzn3InAUOBJM9P9da1oy5Yt/OY3v6FTp0688MILtGnTxuuSREQkhvTu3ZsrrriCb775hvXr1+Oco6ioiJycHAW2VhbOkbVTgbXOua+dc3uAfGBEnT4jgGdCz18EhpiZOefKnHPlofZ2gAtjnQmnoqKC7Oxs1q9fz7x58zj88MO9LklERGLQ/Pnz67WVlZWRm5vrQTXxK5xhrRuwvsbrDaG2BvuEwtmPQDqAmfU3s9XAKuCqGuGtmpnlmFmBmRX88MMPYfgW4ksgEMDn85GSksLrr7/OxRdfzIABA7wuS0REYpT2ko6McIY1a6Ct7ghZo32cc+8753oD/YApZtauXkfn8pxzWc65rC5durS44HgWCATIycmhqKioum3u3LkaqhYRkQPW2J7R2ku6dYUzrG0Aau4I3h3Y2Fif0D1phwBbanZwzn0O7AB+HrZKE0Bubi5lZWW12jRULSIiLeH3+0lLS6vVlpKSor2kW1k4w9qHwDFm1tPMUoExwMI6fRYC40PPLwQWO+dc6D0pAGaWCRwLFIax1rinoWoREWlt2dnZ5OXlVe8l3bFjR8rLyzniiCO8Li2uhC2she4xuxZYBHwOvOBDbRhSAAAc2klEQVScW21md5vZeaFuTwPpZrYWmARULe9xGrDSzFYAC4D/45zbHK5aE8Ghhx7aYLuGqkVEpCWys7MpLCwkGAzy/fffc+yxxzJu3Di2bt3qdWlxw5yLj4mWWVlZrqCgwOsyotKXX37Jz3/+c4LBIMFgsLo9LS2NvLw8srOzPaxORETiSUFBAQMHDuT8888nPz8fs4ZuTxczW+6cy2pKX+1gEOfKy8sZN24cBx98MH/84x+rh6ozMzMV1EREpNVlZWVx11138cILL2gSWyvRyFqc8/v93HbbbeTn5zN69GivyxERkQRQUVHB4MGDWbVqFStXrsTn83ldUtTRyJoAsGLFCu666y5Gjx6toCYiIhGTnJzMnDlzcM4xbtw4KioqvC4ppimsxandu3dzySWXkJ6ezsyZM70uR0REEkzPnj2ZOXMmS5Ys4YEHHvC6nJimsBanpk6dyqeffsrTTz9Nenq61+WIiEgCuvjiixk1ahRTp05l+fLlXpcTsxTW4tC7777Lgw8+yBVXXMG5557rdTkiIpKgzIzHH3+cjh07MmDAAJKSkvD5fJp40EwpXhcgrau0tJTx48fj8/l4+OGHvS5HREQS3GuvvcbOnTspL6/c4ruoqIicnBwArUjQRPsdWTOzzk14NLziqkRE1QbtSUlJHHHEEXz11Vf8+c9/5qCDDvK6NBERSXC5ubns3r27Vpu2O2yepoysbQw99rWqXTKgpfA9ULVBe9W+n6WlpaSkpLB+/XqPKxMREdF2h62hKfesfe6cO9I517OxB1Ac7kKlYQ1t0F5eXq7fWEREJCo0tq2htjtsuqaEtYGt1EfCQL+xiIhINPP7/aSlpdVrnzhxogfVxKamhLXxZta+oQNmNhHAOberVauSJtNvLCIiEs2ys7PJy8ur3u6wW7dutG3bljfeeIN42UUp3JoS1h4BlpvZiQ0cG9/K9Ugz3XvvvSQl1T6NaWlp+P1+jyoSERGpLTs7m8LCQoLBIBs2bOD+++/n9ddfZ968eV6XFhOaEta+ACYCL5nZDXWO7WvSgUTA3r17CQaDpKena4N2ERGJCddccw0nnngi1113Hdu3b/e6nKjXlLDmnHNvAlnAaWb2DzM7oupY+EqT/dm2bRs333wzv/jFL9i0aRPBYJDCwkIFNRERiWopKSk8/vjjbNy4kTvvvNPrcqJek3cwcM5tds6NBP4KvG9mF4SvLGmKqVOnUlxczGOPPVbvUqiIiEg0GzBgAFdccQUzZszgk08+8bqcqNaUn/C1LnU6554AzgJuBXqHoyjZv08++YSZM2dy1VVXcdJJJ3ldjoiISLPdd999dO7cmauuuopgMOh1OVGrKWHtyroNzrkvgAFogoEnnHNcc801dO7cmXvuucfrckRERA5I586defDBB1m6dCmzZ8/2upyo1ZSw1uCCXc65vc65fAAzO7xVq5J9eu6553jnnXeqfyMRERGJVePGjeP000/nuuuuo0ePHtrsvQFNCWuvtlIfaQUlJSXccMMN9OvXj8suu8zrckRERFrEzDj33HPZsWMHGzZswDlXvdm7AlulpoS1vmZWUuOxve4D+Gm4C010VZu1H3LIIXz33XcMHz5ckwpERCQuPP744/XatNn7/9rvRu7OueRIFCKNq7tZO8C0adM48sgjtUyHiIjEPG2duG/WnK0ezKwP4KNGyHPOzW/9spovKyvLFRQUeF1GWPh8PoqKiuq1Z2ZmUlhYGPmCREREWlEi/pwzs+XOuaym9G3ydTQzmw3MBi4Ahoce/31AFUqz6DcOERGJZw1t9q6tE//Xfi+D1jDAOdcrbJVIo3r06NFgMNNm7SIiEg+qbunJzc1l3bp1OOcYN26cbvUJac4d6kvNTGHNA+edd169Nv3GISIi8aRqs/fy8nJOPvlkXnvtNXbv3u11WVGhOWHtGSoD25dm9omZrTIz7Q8RZuXl5bzxxht0796djIwMbdYuIiJxLSkpiWnTplFUVNTgLNFE1OQJBma2FpgErAKq94RwztW/I9AD8TrBYPbs2UyYMIGXXnqJESNGeF2OiIhIRJx55pmsWLGCr776ioMPPtjrclpdWCYYAOuccwudc98454qqHgdYozTB7t27ueuuuzj11FMbvBQqIiISr6ZNm8bmzZt56KGHvC7Fc80Ja1+Y2XNmNtbMzq96hK0yIS8vj3Xr1uH3+zEzr8sRERGJmFNOOYVRo0bxhz/8ge+//97rcjzVnLDWHtgNnIWW7gi7HTt2cO+993LGGWcwZMgQr8sRERGJuHvvvZeysjKOPvrohN4ztMlLdzjnfhfOQqS2Rx99lE2bNrFgwQKNqomISEL64IMPSE5OprS0FKB6z1AgoSbZ7XeCgZk9CjTayTn3+9Yu6kDEwwSDQCBQvcYMQN++ffn44489rkpERMQb8byzQXMmGDRlZK2hBHQE8J9mVSX71ND+n1988QWBQCChfnsQERGpoh18KjVrb9DqN5l95Jw7OQz1HLBYH1mL598eREREDkQ8/2wM19IdtT7jAN8njdBvDyIiIrU1tGdo+/btE24HnwMNa7NatQppdJ9P7f8pIiKJKjs7m7y8PDIzM6sn2/3qV79KuNuDDiisOef+b2sXkuj8fj9t2rSp1ab9P0VEJNFV7RkaDAb57W9/y7/+9S+2bNnidVkRdaAja9LKRo0aRceOHWnbtq32/xQREWnALbfcQmlpKTNnzvS6lIhSWIsS+fn5bN26lfnz5xMMBiksLFRQExERqeGEE05g2LBhzJgxgx07dnhdTsQorEUB5xwPPvggvXv35pxzzvG6HBERkag1ZcoUiouLmT17ttelRIzCWhRYtGgRq1at4sYbb9RuBSIiIvvwy1/+kp/97Gdcf/31CbMFVVjDmpkNNbMvzWytmd3SwPG2ZjY3dPx9M/OF2s80s+Vmtir031+Hs06vPfjgg3Tr1o2xY8d6XYqIiEhUCwQCFBUVUVFRgXOueguqeA5sYQtrZpYMzATOAXoBY82sV51uE4CtzrmjgenA/aH2zcBw59wJwHhgTrjq9Nry5ctZvHgxEydOJDU11etyREREolpubi67d++u1VZWVkZubq5HFYVfOEfWTgXWOue+ds7tAfKBEXX6jACeCT1/ERhiZuac+9g5tzHUvhpoZ2Ztw1hrxAUCAXw+H1lZWZgZnTp18rokERGRqJeIi8iHM6x1A9bXeL0h1NZgH+dcOfAjkF6nzwXAx8653XXaMbMcMysws4Iffvih1QoPt6p9QKu20HDOMXHixLgewhUREWkNibiIfDjDWkN3ytfdiHSffcysN5WXRq9s6AOcc3nOuSznXFaXLl0OuNBIy83NrbVhO8T/EK6IiEhrSMQtqMIZ1jYAPWq87g5sbKyPmaUAhwBbQq+7AwuAcc65r8JYZ8Ql4hCuiIhIa2hoC6ohQ4bE9dqk4QxrHwLHmFlPM0sFxgAL6/RZSOUEAoALgcXOOWdmhwJ/A6Y4594NY42eSMQhXBERkdZScwuqkSNHsmzZMnbt2uV1WWETtrAWugftWmAR8DnwgnNutZndbWbnhbo9DaSb2VpgElC1vMe1wNHA7Wa2IvT4SbhqjTS/309SUu0/eu0DKiIi0nzXXHMNmzdv5sUXX/S6lLAx5+reRhabsrKyXEFBgddlNMknn3xC37596dSpE9u2bSMjIwO/3x/XQ7giIiLhEAwGOf7440lPT+e9997zupwmM7PlzrmspvRNCXcxUt+TTz5J27Zt+fe//016et3JryIiItJUSUlJXH311Vx//fV8/PHHnHTSSV6X1Oq03VSE7dixg7/85S9cdNFFCmoiIiKtYPz48bRp04bTTz89Lreg0shahOXn51NSUsJVV13ldSkiIiJx4dVXXyUYDFJaWgpQvQUVEBe3GGlkLUKqdiy4/PLLadOmDYWFhV6XJCIiEhdyc3OpqKio1RZP65dqZC0CqnYsqFoId+/evXGV+EVERLwU7+uXamQtArRjgYiISPjE+/qlCmsREO+JX0RExEsNbUEVT+uXKqxFQLwnfhERES/V3IIKIDk5mSeeeCJubjVSWIsAv99PcnJyrbZ4SvwiIiJeq9qCau7cuVRUVNC1a1evS2o1CmsRMGzYMAAOOuggzIzMzEzy8vLiJvGLiIhEi+HDh3PwwQczZ84cr0tpNQprETBv3jwqKir4+9//TjAYpLCwUEFNREQkDNq3b8/JJ5/Ms88+GzcL5GrpjggIBAIcc8wx9OvXz+tSRERE4logEGDp0qVU7X0eDwvkamQtjAKBAN27d+ef//wnmzZt4rnnnvO6JBERkbiWm5vL7t27a7XF+nJZGlkLk7oL4f74448xn+xFRESiXTwul6WRtTDRQrgiIiKRF4/LZSmshUk8JnsREZFoF48L5CqshUk8JnsREZFoV3eBXIDp06fH9C1ICmth4vf7SUqq/ccb68leREQkFlQtkLts2TKgcjmPWKawFia//vWvCQaDHHLIIVoIV0RExAP9+vWje/fuzJs3z+tSWkRhLUxefvllAN59910thCsiIuKBpKQkevXqxcsvvxzTC+QqrIXJggULOProo+nVq5fXpYiIiCSkQCDA22+/DYBzrnqB3FgLbAprrSwQCNCjRw/eeOMNLYQrIiLioXhZIFeL4raiugvhlpSUaCFcERERj8TLMloaWWtFWghXREQkesTLMloKa60oXhK8iIhIPIiXBXIV1lpRvCR4ERGReFB3gdw2bdrE5DJaCmutyO/306ZNm1ptsZjgRURE4kXVArnTpk1j7969/OpXv/K6pGZTWGtF2dnZZGRkkJqaqoVwRUREokgwGASgW7duMbfemsJaK6lasuOrr76iffv2zJkzRwvhioiIRIFAIMC9995b/TrW1lsz55zXNbSKrKwsV1BQ4Mln112yAyovf2pUTURExHs+n4+ioqJ67ZmZmRQWFka+IMDMljvnsprUV2Gt5aLxfwIRERGplJSUREN5x8yqL49GWnPCmi6DtgIt2SEiIhK9Yn21BoW1VhDr/xOIiIjEs1hfb01hrRX4/X5SU1NrtcXS/wQiIiLxrO56a2bG448/HjP3lSustYLs7Gz69+9PUlKSluwQERGJQlXrrf3+97/HOcell14aM0t4KKy1UCAQwOfzsWTJEtq2baslO0RERKJUIBBg1qxZADjnYmYJD80GbQEt2SEiIhI7omn1Bi3dESHRdNJFRERk36JpCQ8t3REhWrJDREQkdsTq6g0Kay0QqyddREQkEcXqEh4Kay3g9/tp3759rbZYOOkiIiKJqGoJj/T09Oq2uj/Ho1FYw5qZDTWzL81srZnd0sDxtmY2N3T8fTPzhdrTzeyfZlZqZo+Fs8aWatOmTfXz9PR0TS4QERGJcjt37qx+XlxcHPUzQsMW1swsGZgJnAP0AsaaWa863SYAW51zRwPTgftD7buA24EbwlVfS1XNBC0pKaluq3nyRUREJPrk5ubWWsUBoKysjNzcXI8q2r9wjqydCqx1zn3tnNsD5AMj6vQZATwTev4iMMTMzDm3wzn3DpWhLSrF4skWERFJdLE4OTCcYa0bsL7G6w2htgb7OOfKgR+BdGJALJ5sERGRRBeLkwPDGdasgba6i5s0pU/jH2CWY2YFZlbwww8/NKu4lorFky0iIpLoYnFGaDjD2gagR43X3YGNjfUxsxTgEGBLUz/AOZfnnMtyzmV16dKlheU2j9/vp23btrXaov1ki4iIJLq6m7rD/97GFK2TDMIZ1j4EjjGznmaWCowBFtbpsxAYH3p+IbDYxdCWCklJ//vHp5mgIiIisSE7Oxu/319rRYdo3ic0bGEtdA/atcAi4HPgBefcajO728zOC3V7Gkg3s7XAJKB6eQ8zKwT+AFxqZhsamEnqmaqZoDVnf2omqIiISOzIzc1l7969tdqidaKg9gY9ANoTVEREJLZ5vU+o9gYNM80EFRERiW2xNFFQYe0AxNIJFhERkfr8fj+pqam12lJTU6NyoqDC2gE499xz67VpJqiIiEhsqXsZNFpvDVNYa6ZAIMAzzzxTq83MGD9+vGaCioiIxIiGJhjs3bs3KicYKKw1U0PbTDnnePXVVz2qSERERJorlu4/V1hrplg6uSIiItKwxu4z79y5c4Qr2T+FtWZq7CRqcoGIiEjsaGiCAUBJSUnULYyrsNYMgUCA7du312tv06aNJheIiIjEkOzsbA466KB67dF435oWxW2GxhbDTU9PZ/PmzWH9bBEREWldXi6Mq0Vxw6Sx+9K2bGny3vMiIiISJWLlvjWFtWbQYrgiIiLxI1buW1NYa4aGFsPdV7uIiIhEr1i5b01hrRkaW0tNa6yJiIjEpsZuZYqmJbkU1ppBa6yJiIjEl1i4xUlhrRm0xpqIiEh8iYVbnBTWmkhrrImIiMSfWLjFSeusNZHWWBMREYk/ja21BjTa3hq0zloYaI01ERGR+NPYrUxmFjXLdyisNVFj96tF28J5IiIi0nR+vx8zq9funIua5TsU1kRERCRhZWdnN3q5M1pWe1BYa6LGLnfqMqiIiEhsS09Pb7A9Wq6eKaw1kS6DioiIiBcU1ppo165dXpcgIiIiYRDtV88U1pogEAiwY8eOBo9Fy4kUERGRAxPtV88U1ppgX7NBtHuBiIiIhJPCWhM0tBhuFe1eICIiEtuKi4ub1R5pCmtNkJyc3GB7UlIS2dnZEa5GREREWlNjP+cba480hbUmqKioaLA9GAxGuBIRERFpbY39nG+sPdIU1pog2hO3iIiIHLh9XUGLBtFRRZSL9sQtIiIiB25fV9CiYX9QhbUm0MiaiIhI/MrMzGz0WDTsD6qw1gQaWRMREYlf+1rZYV8rQkSKwloTmFmz2kVERCR27Gtlh2i4b837CmKAc65Z7SIiIhIfomHlB4U1ERERkSimsCYiIiISxRTWRERERKKYwpqIiIhIFFNYExEREYliCmsiIiIiUUxhTURERCSKKayJiIiIRLGwhjUzG2pmX5rZWjO7pYHjbc1sbuj4+2bmq3FsSqj9SzM7O5x17k96enqz2kVERERaS9jCmpklAzOBc4BewFgz61Wn2wRgq3PuaGA6cH/ovb2AMUBvYCjwf0NfzxMzZswgNTW1VltqaiozZszwqCIRERFJFOEcWTsVWOuc+9o5twfIB0bU6TMCeCb0/EVgiFVuuDkCyHfO7XbOfQOsDX09T2RnZzN79mwyMzMxMzIzM5k9e/Y+9xITERERaQ0pYfza3YD1NV5vAPo31sc5V25mPwLpofZldd7bLXyl7l92drbCmYiIiERcOEfWrIG2ujufN9anKe/FzHLMrMDMCn744YcDKFFEREQkuoUzrG0AetR43R3Y2FgfM0sBDgG2NPG9OOfynHNZzrmsLl26tGLpIiIikkjatGnTrPZICmdY+xA4xsx6mlkqlRMGFtbpsxAYH3p+IbDYOedC7WNCs0V7AscAH4SxVhEREUlge/bsqRfM2rRpw549ezyq6H+F7Z610D1o1wKLgGRgtnNutZndDRQ45xYCTwNzzGwtlSNqY0LvXW1mLwCfAeXANc65inDVKiIiIhINwawhVjmQFfuysrJcQUGB12WIiIiI7JeZLXfOZTWlr3YwEBEREYliCmsiIiIiUUxhTURERCSKKayJiIiIRDGFNREREZEoprAmIiIiEsUU1kRERESiWNyss2ZmPwBFEfiow4DNEfgcaTqdk+ik8xJ9dE6ij85JdIrEecl0zjVpr8y4CWuRYmYFTV3ETiJD5yQ66bxEH52T6KNzEp2i7bzoMqiIiIhIFFNYExEREYliCmvNl+d1AVKPzkl00nmJPjon0UfnJDpF1XnRPWsiIiIiUUwjayIiIiJRTGEtxMyGmtmXZrbWzG5p4HhbM5sbOv6+mflqHJsSav/SzM6OZN3x7kDPi5mdaWbLzWxV6L+/jnTt8aolf1dCxzPMrNTMbohUzYmghf+G9TGzpWa2OvR3pl0ka49XLfj3q42ZPRM6F5+b2ZRI1x7PmnBeTjezj8ys3MwurHNsvJn9O/QYH7GinXMJ/wCSga+AI4FUYCXQq06f/wM8EXo+Bpgbet4r1L8t0DP0dZK9/p7i4dHC83IS0DX0/OfAt15/P/HwaMk5qXF8HvBX4Aavv594ebTw70oK8AnQN/Q6Xf+GeX5Ofgvkh56nAYWAz+vvKR4eTTwvPqAP8CxwYY32zsDXof92Cj3vFIm6NbJW6VRgrXPua+fcHiAfGFGnzwjgmdDzF4EhZmah9nzn3G7n3DfA2tDXk5Y74PPinPvYObcx1L4aaGdmbSNSdXxryd8VzGwklf/ArY5QvYmiJeflLOAT59xKAOdcsXOuIkJ1x7OWnBMHdDCzFKA9sAcoiUzZcW+/58U5V+ic+wQI1nnv2cCbzrktzrmtwJvA0EgUrbBWqRuwvsbrDaG2Bvs458qBH6n8DbQp75UD05LzUtMFwMfOud1hqjORHPA5MbMOwM3AXRGoM9G05O/KzwBnZotCl35uikC9iaAl5+RFYAfwH2Ad8JBzbku4C04QLfmZ7dnP+5RIfEgMsAba6k6TbaxPU94rB6Yl56XyoFlv4H4qRw+k5VpyTu4CpjvnSkMDbdJ6WnJeUoDTgH5AGfAPM1vunPtH65aYcFpyTk4FKoCuVF5uW2Jmf3fOfd26JSaklvzM9uznvUbWKm0AetR43R3Y2Fif0ND0IcCWJr5XDkxLzgtm1h1YAIxzzn0V9moTQ0vOSX/gATMrBK4DbjWza8NdcIJo6b9hbzvnNjvnyoBXgZPDXnH8a8k5+S3wunNur3NuE/AuEDVbH8W4lvzM9uznvcJapQ+BY8ysp5mlUnmj58I6fRYCVTM/LgQWu8o7DhcCY0KzenoCxwAfRKjueHfA58XMDgX+Bkxxzr0bsYrj3wGfE+fcIOeczznnAx4B/sc591ikCo9zLfk3bBHQx8zSQoFhMPBZhOqOZy05J+uAX1ulDsAA4IsI1R3vmnJeGrMIOMvMOplZJyqv2CwKU521eT0zI1oewLnAGipnieSG2u4Gzgs9b0flDLa1VIaxI2u8Nzf0vi+Bc7z+XuLpcaDnBbiNyns+VtR4/MTr7yceHi35u1Lja9yJZoNGzXkBLqZy0senwANefy/x8mjBv18dQ+2rqQzON3r9vcTTownnpR+Vo2g7gGJgdY33XhY6X2uB30WqZu1gICIiIhLFdBlUREREJIoprImIiIhEMYU1ERERkSimsCYiIiISxRTWRERERKKYwpqIiIhIFFNYE5GEYWYVZrbCzD41s/8XWjx5X/19ZrbTzFaEXv8m9P6aj6CZnWNmR4Vel0bmuxGRRKF11kQkYZhZqXOuY+j5M8Aa55x/H/19wCvOuZ83cjwHyAZ+5ZwL1v0MEZHWoJE1EUlUS4FuVS/M7EYz+9DMPjGzu/b3ZjP7GTAVuKQqqImIhIPCmogkHDNLBoYQ2hPQzM6icl/fU4ETgVPM7PR9vL8N8ByVW2atC3/FIpLIUrwuQEQkgtqH7j/zAcuBN0PtZ4UeH4ded6QyvDUWxO6hcr/A/PCVKiJSSSNrIpJIdjrnTgQygVTgmlC7Afc5504MPY52zj3d0BcwszOAC4BrI1GwiIjCmogkHOfcj8DvgRtClzQXAZeZWdXkg25m9pO67zOzTsCfgHHOue2RrFlEEpcug4pIQnLOfWxmK4Exzrk5ZnY8sNTMAEqBi4GKOm+7CvgJ8HioX5X7nHNzI1C2iCQgLd0hItKI/S3d0ch7tHSHiLQqXQYVEWlcBXBI1aK4+1K1KC7wffjLEpFEopE1ERERkSimkTURERGRKKawJiIiIhLFFNZEREREopjCmoiIiEgUU1gTERERiWL/H4q+mdFJbmIMAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Nyquistov diagram z log razporeditvijo frekvenc\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "omega=10**(eksponent)\n", "Y=G+1j*omega*C\n", "Z=1/Y\n", "plt.subplots(figsize=(10, 6))\n", "plt.plot(Z.real, -Z.imag, '-ko')\n", "plt.title('Impedanca')\n", "plt.xlabel('Re[Z]')\n", "plt.ylabel('-Im[Z]')\n", "plt.axis('scaled')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Narišimo še impedanco tako, da je na abscisi frekvenca. Na ordinati pa naj bo impedanca in fazni kot, torej potrebujemo dve ordinatni osi." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "code_folding": [ 0 ] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Linearna os\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "Y=G+1j*omega*C\n", "Z=1/Y\n", "\n", "fig, ax1 = plt.subplots(figsize=(10, 6))\n", "color = 'tab:red'\n", "ax1.set_xlabel('Frekvenca (Hz)')\n", "ax1.set_ylabel('Abs(Impedanca) / $\\Omega$', color=color)\n", "ax1.plot(freq,abs(Z), color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "ax1.grid(axis='x')\n", "\n", "ax2 = ax1.twinx() # x os za drugi plot naj bo enaka x osi prvega plota\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Fazni kot /rad', color=color) \n", "ax2.plot(freq,np.angle(Z), color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "plt.show() # klikni puščico za ogled vsebine" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Iskaže se, da nam tak graf ne da kaj dosti informacij, ker se sprememba impedance zgodi v zelo ozkem frekvenčnem oknu. Zato je bolj običajno, da se abscisno os (in tudi ordinatno) riše v logaritemskem merilu. Ne pa tudi ordinatno os za fazni kot, ki ostane linearna. Takemu prikazu rečemo Bodejev diagram. Bolj pogosto to ime zasledimo pri analizi filtrov, ki jih bomo na kratko obdelali v naslednjem zvezku." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "code_folding": [ 0 ] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Bodjev diagram\n", "\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "Y=G+1j*omega*C\n", "Z=1/Y\n", "\n", "fig, ax1 = plt.subplots(figsize=(10, 6))\n", "color = 'tab:red'\n", "ax1.set_xlabel('Frekvenca (Hz)')\n", "ax1.set_ylabel('Abs(Impedanca) / $\\Omega$', color=color)\n", "ax1.loglog(freq,abs(Z), color=color)\n", "ax1.tick_params(axis='y', labelcolor=color)\n", "ax1.grid(axis='x')\n", "\n", "ax2 = ax1.twinx() # x os za drugi plot naj bo enaka x osi prvega plota\n", "color = 'tab:blue'\n", "ax2.set_ylabel('Fazni kot /rad', color=color) \n", "ax2.plot(freq,np.angle(Z), color=color)\n", "ax2.tick_params(axis='y', labelcolor=color)\n", "plt.show() # klikni puščico za ogled vsebine" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Impedanca vzporedne RC vezave je do določene frekvence konstantna, fazni kot je enak 0. To je pri nizkih frekvencah, ko je impedanca kondenzatorja zelo velika in nima vpliva na skupno impedanco. Pri visokih frekvencah pa postaja impedanca kondenzatorja (reaktanca) vedno manjša in sčasoma (zaradi vporedne vezave) prevlada, kar se odraža tudi v faznem kotu, ki se \"premakne\" proti $-\\pi/2$.\n", "\n", "Padanje impedance pri višjih frekvencah je v logaritemskem prikazu linearno. Poglejmo zakaj. Absolutna vrednost impedance kondenzatorja je $Z_C = \\frac{1}{\\omega C}$ in če jo logaritmiramo, dobimo\n", "\n", "je $\\log(Z_C) =\\log(\\frac{1}{\\omega C})=\\log(1)-\\log(\\omega C) = - \\log(\\omega)-\\log(C)$.\n", "\n", "Dobimo enačbo premice $y=-kx-n $ za logaritemsko merilo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Preverimo še, kako se odražajo spremembe določenega parametra v grafu. Na primer, izrišimo impedanco vzporedne RC vezave za različne vrednosti kapacitivnosti v Nyquistovem in Bodejevem diagramu." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Impedanca vporedne vezave RC v Bodejevem in Nyquistovem diagramu\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "Y=G+1j*omega*C\n", "def Z(C,G):\n", " return 1/(G+1j*omega*C)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "color = 'tab:blue'\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Impedanca) / $\\Omega$', color=color)\n", "plt.loglog(freq,abs(Z(1e-4,10)), color='b')\n", "plt.loglog(freq,abs(Z(1e-3,10)), color='r')\n", "plt.loglog(freq,abs(Z(1e-2,10)), color='g')\n", "plt.ylim(1e-3,1)\n", "plt.subplots_adjust(right=2)\n", "\n", "plt.subplot(1,2,2)\n", "plt.ylabel('Im [Z]', color=color) \n", "plt.ylabel('Re [Z]', color=color) \n", "plt.plot(Z(1e-4,10).real,-Z(1e-4,10).imag,color='b') # dodaj 'o' za izris krogcev\n", "plt.plot(Z(1e-3,10).real,-Z(1e-3,10).imag, color='r')\n", "plt.plot(Z(1e-2,10).real,-Z(1e-2,10).imag, color='g')\n", "plt.show() # " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** V loglog merilu dobimo tri krivulje, kot pričakovano, če je kapacitivnost večja, je reaktanca manjša in bo \n", "njen vpliv večji že pri nižjih frekvencah. Nekoliko bolj presenetljiv rezultat je na desni, saj smo dobili kot rezultat eno samo krivuljo. Je to ok? odgovor je DA, vezje je še vedno enako za vse tri primere kapacitivnosti. Če bi spremljali točke impedance za različne frekvence, bi ugotovili, da so za različne kapacitivnosti na različnih mestih, vendar ležijo na isti krivulji. To lahko hitro preveriš tako, da zmanjšaš število točk, ki se izrisujejo (iz 100 na npr. 10) in v plotu dopišeš, naj se izrisujejo točke brez povezane krivulje (dodaš 'o'). Zadostuje pa tudi že razmislek, da frekvenca in kapacitivnost v enačbi nastopata skupaj, v produktu, torej ima povečanje frekvence ali povečanje kapacitivnost enak učinek.\n", "\n", "Sedaj tudi vidimo, zakaj je izris v kompleksni ravnini (med drugim) primeren - iz oblike krivulje lahko dobro razberemo vezavo nadomestne impedance vezja.\n", "\n", "**Zdaj pa ti:** Spremeni vrednosti prevodnosti G (pri fiksni vrednosti kapacitivnosti) in ugotavljaj spremembe na grafih. Ali se sprememba G-ja odraža tudi v Nyquistovem diagramu?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Zdaj pa ti\n", "1. Zanima nas potek impedance (ali admitance) zaporedne vezave tuljave in upora, torej $\\underline Z = R + j \\omega L$. Ali si lahko zamisliš potek impedance in admitance v kompleksni ravnini, brez da bi jo prej izrisal v grafu? Mislim, da ja. Če bi risal točke impedance v kompleksni ravnini, bi začel na realni osi, saj ima impedanca pri $\\omega = 0$ le realno komponento ($Z(0)=R$). Potem pa gredo z večanjem $\\omega$ točke impedance navzgor po imaginarni osi. Torej bi dobili pokončno premico v kompleksni ravnini impedance. Ki se preslika v? V polkrog,če v kompleksni ravnini rišemo admitanco. Preveri preprosto tako, da kreiraš novo celico, skopiraš celico z [Nyquistovim plotom](#Nyquist) in zamenjaš formulo in prikaz (ki je sedaj admitanca). (Rešitev je na koncu zvezka). Ugotovitev: dobimo polkrog vendar na negativni Im[Y] osi.\n", "2. Kaj pa zaporedna vezava upora in kondenzatorja? Je tudi polkrog? Zopet poskusi z razmislekom. Impedanca je $\\underline Z = R + \\frac{1}{j \\omega C}$. Torej, v kompleksni ravnini impedance bo to zopet premica, vendar z nekoliko drugačnim potekom, saj bo $Z=R$ pri $\\omega \\to \\infty$ in ne pri $\\omega = 0$, kot je bilo v prejšnjem primeru. Potek admitance bo torej podoben kot pri zaporedni vezavi upora in tuljave z nekaj pomembnimi razlikami. Razmisli sam ali pa skopiraj prejšnjo celico in spremeni formulo ter poglej rezultat. (Rešitev je na koncu zvezka). Ugotovitev: dobimo polkrog na pozitivni Im[Y] osi. Frekvence se večajo od desne proti levi.\n", "3. Kaj pa zaporedna vezava upora,tuljave in kondenzatorja, torej $\\underline Z = R + j\\omega L + \\frac{1}{j \\omega C}$. Zopet lahko z razmislekom ugotovimo, da bo impedanca pokončna premica v smeri imaginarne osi, vendar tokrat tako v smeri pozitivne kot negativne imaginarne osi. Ki se preslika v kompleksni ravnini admitance v ? V krog, seveda. Preveri, če želiš.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Bodejev diagram kaže spremembe predvsem pri nižjih frekvencah, ko impedanca ni več popolnoma \"ravna\", bolj izrazite spremembe pa vidimo v kompleksni ravnini, kjer se pojavi dodatni \"izrastek\", ki \"pokvari\" obliko polkroga. Ravno ta \"izrastek\" tipično nakazuje vpliv Warburgovega člena. Poleg tega opazimo, da tudi v kompleksni ravnini dobimo tri ravnine, saj v Warburgovem členu $\\omega$ ne nastopa skupaj s kapacitivnostjo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Elektrokemija - Randelsova celica\n", "\n", "Randelsova celica v elektrokemiji imenujejo električni model (impedanco) preproste elektrokemijske strukture, ki jo določata elektrodi in elektrolit med elektrodama. Model sestavlja vzporedna vezava kondenzatorja ($C_{dl}$) in upora ($R_{ct}$) kateri je zaporedno dodan še en upor ($R_s$). Glej npr. https://www.gamry.com/application-notes/EIS/basics-of-electrochemical-impedance-spectroscopy/. $C_{dl}$ predstavlja kapacitivnost t.i. dvojne plasti, ki se tvori ob stiku elektrolita z elektrodo, $R_{ct}$ je upornost ob prenosu naboja (charge transfer resistance), $R_s$ pa predstavlja upornost razstopine (solution). Na kratko nadomestno impedanco zapišemo kot\n", "\n", "$\\underline Z = R_s +R_{ct}||\\underline Z_{dl}$.\n", "\n", "Ker smo že v prejšnjem poglavju obravnavali vzporedno vezavo kondenzatorja in upora, je analiza impedance ob dodatku še zaporedno vezanega upora enostavna. \n", "\n" ] }, { "cell_type": "code", "execution_count": 343, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Randelsova celica\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "R=0.1\n", "def Z(C,G):\n", " return 1/(G+1j*omega*C)+R\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "color = 'tab:blue'\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Impedanca) / $\\Omega$', color=color)\n", "plt.loglog(freq,abs(Z(1e-4,10)), color='b')\n", "plt.loglog(freq,abs(Z(1e-3,10)), color='r')\n", "plt.loglog(freq,abs(Z(1e-2,10)), color='g')\n", "plt.ylim(1e-3,1)\n", "plt.subplots_adjust(right=2)\n", "\n", "plt.subplot(1,2,2)\n", "plt.ylabel('Im [Z]', color=color) \n", "plt.ylabel('Re [Z]', color=color) \n", "plt.plot(Z(1e-4,10).real,-Z(1e-4,10).imag,color='b') # dodaj 'o' za izris krogcev\n", "plt.plot(Z(1e-3,10).real,-Z(1e-3,10).imag, color='r')\n", "plt.plot(Z(1e-2,10).real,-Z(1e-2,10).imag, color='g')\n", "plt.xlim(0,0.3); plt.ylim(0,0.2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dodajmo vzporedni vezavi RC zaporedno še t.i. Warburgov člen, tako, da impedanca postane\n", "\n", "$\\underline{Z}(u)=\\frac{1}{G+j \\omega C}+\\frac{A_W}{\\sqrt\\omega}(1-j)$.\n", "\n", "Poglejmo, kaj dobimo, če impedanco zrišemo v Nyquistovem in Bodejevem diagramu." ] }, { "cell_type": "code", "execution_count": 346, "metadata": { "code_folding": [] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Z dodatkom Warburgove impedance\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "Aw=0.1\n", "def Z(C,G,R):\n", " return 1/(G+1j*omega*C)+R+Aw*(1-1j)/np.sqrt(omega)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1, 2,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "color = 'tab:blue'\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Impedanca) / $\\Omega$', color=color)\n", "plt.loglog(freq,abs(Z(1e-4,10,1)), color='b')\n", "plt.loglog(freq,abs(Z(1e-3,10,1)), color='r')\n", "plt.loglog(freq,abs(Z(1e-2,10,1)), color='g')\n", "#plt.ylim(1e-3,1)\n", "plt.subplots_adjust(right=2)\n", "\n", "plt.subplot(1,2,2)\n", "plt.ylabel('Im [Z]', color=color) \n", "plt.ylabel('Re [Z]', color=color) \n", "plt.plot(Z(1e-4,10,1).real,-Z(1e-4,10,1).imag,color='b') # dodaj 'o' za izris krogcev\n", "plt.plot(Z(1e-3,10,1).real,-Z(1e-3,10,1).imag, color='r')\n", "plt.plot(Z(1e-2,10,1).real,-Z(1e-2,10,1).imag, color='g')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Če primerjamo Bodejev diagram brez serijske in z serijsko upornostjo ugotovimo precejšnjo razliko, predvsem v amplitudi impedance pri višjih frekvencah. Brez serijske upornosti pri visokih frekvencah impedanca pada proti nič (kratek stik), pri Randelsovi celici pa je impedanca omejena s serijsko upornostjo. \n", "\n", "V kompleksni ravnini pa opazimo razliko preprosto v premiku polkroga v desno za vrednost upornosti. Potrebno pa se je zavedati, da kompleksorji impedance izhajajo iz koordinatnega izhodišča in ne iz središča polkroga. Pri $\\omega = 0$ je $Z(0)=R_s+R_{ct}$, pri $\\omega = \\infty$ pa je $Z(\\infty)=R_s$. \n", "\n", "Upornosti zaradi prenosa naboja $R_{ct}$ se pogosto doda Warburgov člen, ki smo ga že obravnavali, s čimer se modelira poleg kinetičnega procesa še difuzijski proces.\n", "\n", "**Zdaj pa ti:** \n", "* Spremeni limite izrisa osi za boljše opazovanje.\n", "* Dodaj Warburgov člen in analiziraj rezultat.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CPE - Constant phase element - element s konstantno fazo\n", "\n", "CPE je matematično zasnovan element, ki na najbolj ustrezen način opiše frekvenčne karakteristike impedance, ki jih zasledimo pri analizi določenih struktur, najpogosteje v kemiji ali biologiji. Impedanca CPE je določena kot\n", "\n", "$\\underline Z_{CPE} = \\frac{1}{(j\\omega C)^{\\alpha}}$ ali tudi $\\underline Z_{CPE} = \\frac{1}{Q(j\\omega)^{\\alpha}}$, odvisno, katero literaturo vzamete v roko. Admitanca je torej\n", "$\\underline Y_{CPE} = (j\\omega C)^{\\alpha}$ ali tudi $\\underline Y_{CPE} = Q{(j\\omega )^{\\alpha}}$, ki jo lahko razdelimo na realni in imaginarni del in dobimo \n", "\n", "$\\underline Y_{CPE} = Q\\omega^{\\alpha}(\\cos\\frac{\\alpha\\pi}{2}+j\\sin\\frac{\\alpha\\pi}{2})$. \n", "\n", "Iz enačbe razberemo, da je pri $\\alpha=1$ CPE v bistvu kodenzator, pri $\\alpha=0$ upor, pri $\\alpha=-1$ pa tuljava. Pri ostalih vrednostih pa je nekaj vmes med uporom, kondenzatorjem in tuljavo, s tem, da ima določeno amplitudo, ki se spreminja s frekvenco a hkrati konstantno fazo.\n", "\n", "Poglejmo si, kako izgleda na sliki frekvenčna karakteristika zaporedne vezave upora in CPE elementa $\\underline Z_{nad} = \\frac{1}{(j\\omega C)^{\\alpha}} + R$ za različne vrednosti $\\alpha$.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArMAAAF6CAYAAAAK6ND6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzs3XmczuX6wPHPNWNfshONrdCxnCJE+6ZQUUpCKTtjGcsp6Vf2hJRtZMaSkC2cUySh5VQnlUKSbBViRNbsGjNz/f64R00azDPzPM935pnr/Xp9XzPP9/l+7/uazvGda+7nvq9bVBVjjDHGGGOyojCvAzDGGGOMMSa9LJk1xhhjjDFZliWzxhhjjDEmy7Jk1hhjjDHGZFmWzBpjjDHGmCzLklljjDHGGJNlWTJrjDHGGGOyLEtmjTHGGGNMlmXJrDHGGGOMybJyeB2APxUvXlwrVKjgdRjGmGxk7dq1B1W1hNdxBJo9X40xwZbW52tIJbMVKlRgzZo1XodhjMlGRORnr2MIBnu+GmOCLa3PV5tmYIwxxhhjsixLZo0xxhhjTJZlyawxxhhjjMmyQmrOrDEm8zl79ixxcXGcOXPG61AyJE+ePERERJAzZ06vQzHGGJOCJbPGmICKi4ujYMGCVKhQARHxOpx0UVUOHTpEXFwcFStW9DocY4wxKdg0A2NMQJ05c4ZixYpl2UQWQEQoVqxYlh9dNsaYUBQSyayINBGRKUePHvU6FGNMKrJyIntOKPwMxhgTikIimVXVd1S1c6FChbwOxRhjjDHGBFFIJLPGGHMx7du3p2TJktSoUcPrUIwxxviZJbPGmJDXtm1bli9f7nUYmYaI5BeRmSIyVUQe8zoeY4zJCKtmYIwJmt69Yf16/7ZZsyaMG3fxa2699VZ27tzp344zGRGZDtwP7FfVGinONwLGA+HANFUdCTwELFLVd0TkTWCOFzEbY4w/ZOtk9uxZ2LMHKlTwOhJjjMmwGcBEYNa5EyISDrwK3A3EAV+LyBIgAvgu+bLE4IZpjH8lJUFi4l+/qv75VdVdd/7356T8Pq3Sc09Gqeolj/OvBT3v9Z/vp/x6/ve+nrvY+XPy5MlBxYqFL3pNemXrZPa+++DgQVi7FmyhsjGBd6kRVJN+qvqpiFQ47/T1wI+quh1AROYDD+AS2whgPTbdzHgoKQl27oSffoLdu90A04EDcOgQHDkCx47BiRNw6hScPg1nzkB8vBuMOnsWEhLS27MCJ4FjKY7jwAngVPJ7p4DTyceZFEc88Hvy13PH2RRHwnlHIpCAkEC+P45E8pFIXpLISxJ5SCQPSeRByYOSmyRyo+RGyQXk+uOrO3Ked+RIcZx7HZ7i6/nfnzvCko+Ur899lRTvp3yd2teUx/nnzj1gvgorQMXE477/T5UG2TqZffBB6N4dvvoK6tXzOhpjjPG7K4DdKV7HAfWACcBEEbkPeOdCN4tIZ6AzQLly5QIYpsku9u+HTz5xxxdfwObNLklNqVAhKFYMihaFggWhfHnInx/y5HFHrlyQM6c7cuSA8HD3FRI5eXIvx47FcexYHMeP/8KJE79y/Pg+Tp48mOI4zOnTv5GUlPZMOEd4LgrlyE2p8JyUCMtBybBwikoYRUUojFJYlctUuUyTKKBJFEhKIH9SIvmTEsmXlEC+pATyJGXsQ5Ak4GxYDhLCwkmUcBLCwpK/hpMkYSRJGAlhYSRJOIkSRmJY2B/nUx4JIsRLGElhYShCkoShIiSJoBLmvuLOKfzxPrhrgD+uA3eNJp9PEpe6KvLHOfc96BUVuD5D/wUuLFsns48/Dv36QUyMJbPGmJCU2mdOqqongXaXullVpwBTAOrUqePBB6smFBw/DgsXwrx58NFHbjQ2f36oXx+6doVq1aByZShbFq64AnLnvnBbqsqvv/7Kxo0b2bRpE9u2bWPbtm1s376dXbt2cfbs2b9cHx4eTsmSJSlZsiRXXlmcYsVqUrRoUYoUKULhwoUpVKgQxXLkoOSZMxQ5cYLLjh8n39Gj5Dl8mNyHDhF+8CBhBw4gBw7A6YuMKubJ47Lwc0fBgn8eBQq4I39+d+TL99cjTx7Im9f94Ocy9ty5/zxy5YLcuQkLDyc3cJH/PNlWtk5mL7vMJbQzZ8KYMe6vQGNM6GnVqhUff/wxBw8eJCIigiFDhtChQwevwwqGOKBsitcRwC8exWKymaNHIToaxo6Fw4fhqqvguefcFL/rrnMjq5dy5MgRVq1axerVq1mzZg1r167lwIEDf7x/2WWXUaVKFerUqcMjjzxC+fLlKVeuHFdccQVlypShWLFihInA3r2wdSts2wY//ghbtsCOHW6Ow2+//b3jkiWhdGkoVcpl2yVLQokS7ihW7M+jSBEoXNgloMYz2TqZBYiMhMmTYcYM6NvX62iMMYEwb948r0PwytdAZRGpCOwBWgKtfWlARJoATSpVqhSA8EwoUoU33nDVS44cgfvvh/794cYbL70+5cyZM3z22WcsX76cDz74gA0bNqCqhIeHU716de6//36uvfZa/vnPf1K9enVKliz51935fvsNvv3WzWPYsAG+/x42bXKTb8/JnRsqVoQrr4SbbnLzGMqVc0PDEREuiU1Lpm0yjWyfzF57LdxwA8TGun94YbYUwhiTBYnIPOB2oLiIxAGDVPU1EekBrMCt65iuqt/70q6qvgO8U6dOnU7+jtmEnl9/hS5dYPFiuPlmt+izdu2L33Pq1CmWLVvGokWLWLp0KSdPniRXrlzcfPPNDBkyhFtuuYXrr7+efPny/fXG+Hi36OXzz93XNWvcqOs5xYtDjRrQpg1UrQpXXw1VqriE1X7Zh5Rsn8yCG5194gk3l6dBA6+jMcYY36lqqwucXwYsC3I4JhvasAEaNXJTCl55BXr1couzUqOqrF69munTpzN//nyOHz9OyZIlefzxx2natCm33XYb+fPn/+tNv//uVo19/LE7Vq925Q3AJah160K7dm4Ow7XXwuWXW6mibMKSWeCRR6BPH7cQzJJZY4wxxjcffwwPPODWO331FVxzTerXxcfHs2DBAsaOHcu6devIly8fLVq04IknnuDWW28l/Pzsd/t2ePddWL7cdXLqlBtVrVXLjUTddJP7eLVMmUD/iCYTs2QWN2+7XTs3SX3PHrea0hhjjM2ZNZe2bBk0a+YWeC1f7qafni8+Pp7p06czfPhw4uLiqFq1KrGxsbRu3ZqCBQv+eaGq2yZw0SJ4+2033xVcuYP27eHuu+G221zFAGOS2aSRZF26uJ1Dpk3zOhJjjMk8VPUdVe1cyJIHk4o1a9ynmzVqwGef/T2RTUpK4o033qBKlSpERkZSrlw5li1bxsaNG+nSpcufieyWLTBggEtar7sORo50lQTGjoUffnBVCKKjoWlTS2TN39jIbLJKleCee2DqVFc6JIf9lzHGGGMuaOdOV6mgRAk3E+D88pZfffUVvXr14ssvv6ROnTpMnjyZe+6558/qA0ePwvz5MH26m5sQFgZ33ulKHzzwgGvYmDSwkdkUIiPdNIOlS72OxBjjT8uXL+fqq6+mUqVKjBw58m/v9+nTh5o1a1KzZk2qVKlC4cKB2T/cmFBx4oSrF3vmjJtmcPnlf7538uRJevXqRf369dmxYwczZsxg9erVNGzY0CWy69dDp06uBFbXrm4e7CuvQFwcvP8+dOxoiazxSaYefxSR/MCnuBIzAU8x77/fLYiMiXFb3Rpjsr7ExES6d+/O+++/T0REBHXr1qVp06ZUq1btj2vGjh37x/fR0dF88803XoSaKdmcWZOaXr3cVrTvv+/2FDjn008/pV27dmzfvp0ePXowfPhwLrvsMrft19tvu6T1s8/cjlePPeaS2rp1reqAyZCgJrMiMh24H9ivqjVSnG8EjMfVQZymqueGTp4BFgQrvhw53L+rQYNcqTp7dhvjX71792b9+vV+bbNmzZqMGzfugu9/9dVXVKpUiSuvvBKAli1bsnjx4r8ksynNmzePIUOG+DXGrMzqzJrzLVrkZgY89xzcdZc7l5iYyLBhwxg6dChXXnklH3/8MbfddpurBTttGrz0kpv7WqGCS2jbtXO7ZxnjB8GeZjADaJTyhIiEA68CjYFqQCsRqSYiDYBNwK/BDLBjR1cXb/LkYPZqjAmUPXv2ULbsnzu6RkREsGfPnlSv/fnnn9mxYwd33nlnsMIzJkvZvdsN+lx/vRv4Adi3bx8NGjRgyJAhtGnThvXr13Nb/fowaZJb0NWpk9s//s03XULbt68lssavgjoyq6qfikiF805fD/yoqtsBRGQ+8ABQAMiPS3BPi8gyVU06v00R6Qx0BiiXWj0QH5Up46YYvP46DBtm2y0b408XG0ENFFX92zm5wEea8+fPp3nz5n+vdWmMQdVVx0pIgDlz3I6v69ato2nTphw5coQZM2bw5OOPu71sBw+Gn392e9hOmeJWWNtUAhMgmWEB2BXA7hSv44ArVPU5Ve0NzAWmppbIAqjqFFWto6p1SvhpwnhkJBw6BAsX+qU5Y4yHIiIi2L37z0dMXFwcZS5QYH3+/Pm0apXqRlrZlog0EZEpR48e9ToU47E334QPPnBVsypVgkWLFnHzzTcTFhbGqlWreLJUKbfzVrt2bivZFSvc/NiGDS2RNQGVGZLZ1P4f/sdQiqrOCMbir5TuvNNt3xwTE8xejTGBULduXX744Qd27NhBfHw88+fPp2nTpn+7buvWrRw5coQbbrjBgygzL6sza8BV0erTB2rXdgUIxo0bxyOPPEKtWrVYN3s2Nfv3h8aN3ZazixbB11/baKwJmsyQzMYBZVO8jgB+8aUBf48ciLh/rF98Ad9+65cmjTEeyZEjBxMnTqRhw4ZUrVqVFi1aUL16dQYOHMiSJUv+uG7evHm0bNnyglMQjMnOBg2CX3+FSZOUgQOfo0+fPjzWtCmfXH89xe+6C1avhjFj4Pvv4eGHLYk1QSWpzScLaIduzuzSc9UMRCQHsA24C9gDfA20VtXvfW27Tp06umbNGr/Eefiw29b2ySchNtYvTRqTLW3evJmqVat6HYZfpPaziMhaVa3jUUhB48/nq8lavv3WbcrVuXMS0J3Y2Fgm3X03Xb//HvnlF+jQAUaMsNqwxu/S+nwN6sisiMwDvgCuFpE4EemgqglAD2AFsBlYkJ5E1t+KFoWWLWH2bDh2zOtojDHGGG/06weFCiVx+nQkS2Jj2Vi5MpHvv4+UKOE+wpw2zRJZ46lgVzNIdWWFqi4DlgUzlrSIjIQZM1xC262b19EYY0zW0Xt5b9bv829NYRN8R47AhjJQ8PFtLD++lyrthO7yIzxeEcoWgi39YYvXUZqsoOblNRnXKDAVbTLDnNkMC9Rq27p13UcrsbGuJIkxxmQ3Vs0ge9u+HfKEbaXc8b38AwgrWBDq1IVy5WxerMk0MvV2tmkVqB1qRNzobKdO8PnncNNN/mzdGGMyv/Q+XwM1AmOCZ948mD3xMV7nE4qEh5Nj5EikTx+3s5AxmUhIjMwGUqtWUKiQlekyxhiTfZw9foaT7W7lXeZypkgRcqxfjzz1lCWyJlOyZPYS8ueHJ55wGygcOOB1NMYYY0yA/fAD+66sRsff/8e8y6+kzO7dSI0aXkdlzAWFRDIb6DldXbtCfLzb4tYYk/UsX76cq6++mkqVKjFy5Mi/vT9jxgxKlChBzZo1qVmzJtOmTfMgSmMygQULSLy2JvkO7uDh3FV44KeN5Mif3+uojLmokEhmA71DTbVqcOutMHkyJKW6qa4xJrNKTEyke/fuvPfee2zatIl58+axadOmv1336KOPsn79etavX0/Hjh09iNQYD50967b4evRRvo4/S03K0mza/8iXL6/XkRlzSSGxACwYIiPd/NmVK6FRI6+jMSaL6t0b1vu5XFPNmjDuwouNvvrqKypVqsSVV14JQMuWLVm8eDHVqlXzbxzGZFX79kGLFvC///FG0aJ0OpJIpeoreeyxkl5HZkyahMTIbDA89BCULGkLwYzJavbs2UPZsn/umB0REcGePXv+dt2///1vrrnmGpo3b87u3buDGWKmZqW5QtyaNVC3LrpmDWPr1KHtb0f5XRfx4ov/sMpbJsuwkdk0ypXL7dg3ahTs2uVK7BljfHSREdRASW3Lbjnvt3STJk1o1aoVuXPnJjY2lieffJKPPvooWCFmaoEqfWgygblz3S+2kiWZ/MQT9J08mZIlx1GmTAOaNPE6OGPSLiRGZoM1ctC5s9s8YerUgHZjjPGjiIiIv4y0xsXFUaZMmb9cU6xYMXLnzg1Ap06dWLt2bVBjNCaoVGHgQHjsMbj+epa/8AKRkydzxx1t2b8/iv79bT8Ek7WERDIb6AVg51SoAPfe67ahPns2oF0ZY/ykbt26/PDDD+zYsYP4+Hjmz59P06ZN/3LN3r17//h+yZIlVK1aNdhhGhMcp0+7BSDDhkG7dvwYE0PLnj2pXbs2x4/HcOWVwsMPex2kMb4JiWQ2mCIj3Vz5t9/2OhJjTFrkyJGDiRMn0rBhQ6pWrUqLFi2oXr06AwcOZMmSJQBMmDCB6tWrc+211zJhwgRmzJjhbdDGBMLBg3DXXbBgAYwaxanoaB5u1Yrw8HD+9a9FrFmTh6efhhw2AdFkMZLafLKsqk6dOrpmzZqA9pGYCFddBVdeCTalzphL27x5c8iMdKb2s4jIWlWt41FIQROM56sJoJ9+gsaN3aKP2bOheXPatWvHzJkzeffddxk/vjHffAM7d0Jeq8ZlMom0Pl9tZNZH4eFu7ux//wtbtngdjTHGGHMJa9bADTfA4cNuFKZ5c2bNmsWMGTN47rnnKF26MStWuMp5lsiarCgkktlgl47p0AFy5oTY2KB0Z4wxxqTPypVw++1ub/bPP4cbb2TLli1069aN2267jcGDBzNmjHu7a1evgzUmfUIimQ3WArBzSpVydWdnzoRTp4LSpTHGGOObuXPhvvugUiWXyFapwunTp3n00UfJmzcvc+bMYd++cObNc4M0RYp4HbAx6RMSyawXIiPht99g/nyvIzHGmMCxTROyqEmT4PHH4aab4JNPoHRpAJ566ik2bNjArFmzuOKKK5g40W3T3quXx/EakwGWzKbTrbdCtWq2I5gxJrQF+5Mvk0GqMHw4dO8OTZrA8uWQ/L/dO++8w6RJk+jTpw+NGzfmxAk3Xa5ZM7eo2ZisypLZdBJx84vWrHGHMcYY4ylVeOYZeP55Nyq7aBHkyQPAvn37aN++Pddeey0jRowAYMYM9wlj374exmyMH1gymwFPPAH58tnorDGZ3fLly7n66qupVKkSI0eO9DocY/wvKQl69oTRo908uJkz3UplICkpibZt23LixAnmzp1L7ty5SUx0u0vXrw833uhx7MZkkCWzGVCoELRuDfPmub9ujTGZT2JiIt27d+e9995j06ZNzJs3j02bNnkdljH+k5gIHTvCq6/CU0+5r2F//nqfNGkSK1as4OWXX6ZatWoAvPuuKz3bp49XQRvjPyGxz4eINAGaVKpUKeh9R0a67W1nzYKoqKB3b0yW0nt5b9bvW+/XNmteXpNxjcZd8P2vvvqKSpUqcWXypMCWLVuyePHiP36pG5OlJSRA27YwZw4MHAiDB7t5cMm2bt1Kv379aNSoEd26dfvj/PjxEBHh5ssak9WFxMislwsUrrsOrr/eTaIPoc3UjAkZe/bsoWzZsn+8joiIYM+ePR5GZIyfJCRAmzYukR0+HIYM+Usie/bsWdq0aUPevHmZPn06kvzed9+5vRN69PhjJoIxWVpIjMx6LTIS2rVz1U9uv93raIzJvC42ghooqW3ZLSl+4RuTJSUkwGOPwYIF8NJL8PTTf7vkxRdf5Ouvv2bBggWUTi7NBW5UNm9e6NQpmAEbEzghMTLrtUcfdcWmbSGYMZlPREQEu3fv/uN1XFwcZcqU8TAiYzIoIcEt2FiwAF55JdVEdt26dbzwwgu0bt2aRx555I/zBw+6gdw2baBo0WAGbUzgWDLrB3nzuilL//kP7NvndTTGmJTq1q3LDz/8wI4dO4iPj2f+/Pk0bdrU67CMSZ9ziezChS6RTaWu1u+//86TTz5JiRIlmDhx4l/emzIFzpyxTRJMaLFk1k+6dnXPmNde8zoSY0xKOXLkYOLEiTRs2JCqVavSokULqlev7nVYxvguMdENqS5cCC+/fMECsUOGDGHjxo1MnTqVIin2qE1IcJ8gNmjgNv0xJlTYnFk/qVIF7rrL/dXbvz+Eh3sdkTHmnHvvvZd7773X6zCMSb/ERLc4Y/58GDUK/vWvVC/76quvGDVqFO3ateO+++77y3tvvw1xca5ylzGhxEZm/SgyEnbtgmXLvI7EGGP8Q0SaiMiUo0ePeh1K9pWUBF26wBtvwAsvQL9+qV72+++/065dO0qXLs3YsWP/9n50NFSoAOfluMZkeZbM+lHTplC6tC0EM8aEDi9LHxpczceoKDeHbcAAeO65C146bNgwNm3axNSpUzn/f68NG+DTT6F7d/vk0ISekEhmM8vIQc6crtTJ8uWwY4enoRiTqaRWHiurCYWfwWQxqm4U9tzOXkOGXPDSdevWMXLkSJ588kkaN278t/ejo9326x06BDJgY7wREslsZho56NTJ7SI4ebLXkRiTOeTJk4dDhw5l6WRQVTl06BB58uTxOhSTnQwd6hZ6devmasleoD7y2bNnad++PSVKlGDMmDF/e//wYVeO6/HHXRlJY0KNLQDzs4gIaNIEpk93f0Tnzu11RMZ4KyIigri4OA4cOOB1KBmSJ08eIiIivA7DZBdjxritadu2dcOqF9no46WXXuLbb7/lrbfeomgqxWOnT4fTp92OX8aEIktmAyAy0q0a/c9/oFUrr6Mxxls5c+akYsWKXodhTNYxdaqrVtC8OUyb5j7uu4DNmzczdOhQWrRowYMPPvi39xMT3TqOW2+Ff/4zkEEb452QmGaQ2TRoAFddZQvBjDHG+OjNN13lgkaN3NyAi6zWSkpKomPHjhQoUIAJEyakes3y5bB9u43KmtBmyWwAhIW5TRT+9z/YuNHraIwxxmQJy5e7ia033wz//jfkynXRyydNmsTnn3/OuHHjKFWqVKrXTJwIZcpAKoO2xoQMS2YDpG1bN182NtbrSIwxxmR6q1bBQw9BjRrwzjuu9MBF7Nq1i2effZaGDRvy+OOPp3rNDz+4/LhLF1dtx5hQZclsgBQvDo88ArNmwYkTXkdjjDEm09qwwe1kULYsrFgBl6jMo6p069aNpKQkYmNjkQssDps0ySWxnTsHImhjMg9LZgMoMhKOH4e5c72OxBhjTKa0fTs0bAgFCsD770PJkpe8ZcGCBbz77rsMGzaMChUqpHrNyZPw+uvw8MNw+eV+jtmYTMaS2QC64Qa45hq3ECwLl9g0xhgTCPv2wd13Q3w8rFwJ5cpd8pbDhw8TFRVF7dq1iYqKuuB1c+fC0aNuxy9jQp0lswEk4kZn16+H1au9jsYYY0ymcfSoq1iwbx8sWwbVqqXptn79+nHo0CGmTp1KjhypV9dUdVMMrrkGbrrJn0EbkzlZMhtgjz3mPj2yMl3GGGMAOHMGHngAvv8e3noL6tVL022ffvopr732Gn379qVWrVoXvO6LL9wgSvfuF91rwZiQERLJrIg0EZEpR48e9TqUvylYENq0caUDDx3yOhpjjDGeSkx0oxyffAIzZ8I996Tptt9//50uXbpQoUIFBg0adNFrX30VLrsMWrf2R8DGZH4hkcyq6juq2rnQJVaAeiUyEn7/HWbM8DoSY4wxnlF1uxf85z9uu1ofss1Ro0axZcsWYmJiyJ8//wWv278fFi505SELFPBDzMZkASGRzGZ2//ynm7c0eTIkJXkdjTHGGE8MH+6Kj/frB336pPm2bdu2MXz4cFq2bEmjRo0ueu1rr8HZs24QxZjswpLZIImMdAWsP/rI60iMMcYE3WuvwYAB8MQTMHJkmm9TVSIjI8mbNy9jx4696LWJiS5XbtAA/vGPjAZsTNZhyWyQNG/uNlKwhWDGGK+JyJUi8pqILPI6lmxh6VK3DVfDhjBtmk+rsmbPns1HH33EyJEjufwSBWPffRd27YJu3TIasDFZiyWzQZI7N7RvD4sXw549XkdjjMmqRGS6iOwXkY3nnW8kIltF5EcR6X+xNlR1u6p2CGykBnB1GVu0gJo1YdEin/aVPXToEH379qV+/fp0TsM2XpMmwRVXQJMmGQnYmKzHktkg6tzZfQw0bZrXkRhjsrAZwF8mTopIOPAq0BioBrQSkWoi8k8RWXrecektpox//PAD3H8/lC7thk19XJHVv39/jhw5wuTJkwkLu/iv6x9/dDvhdukCFyg/a0zIsmQ2iK66yn3KNHUqJCR4HY0xJitS1U+Bw+edvh74MXnENR6YDzygqt+p6v3nHfvT2peIdBaRNSKy5sCBA378KbKB/fuhcWP3/fLlUKqUT7evWrWKadOm0bdvX6655ppLXh8b65LYjh3TE6wxWZsls0EWGemmGbzzjteRGGNCyBXA7hSv45LPpUpEiolILFBLRJ690HWqOkVV66hqnRIlSvgv2lB38qQbkf3lFzdftnJln24/e/YsXbt2pWzZsgwcOPCS158+DdOnw0MPuUFgY7Ib+zAiyO67DyIi3EKwZs28jsYYEyJSW1GkF7pYVQ8BXQMXTjaWkACtWsHatT7t7pXSuHHj2LhxI2+//TYF0jA14c034cgRK8dlsi8bmQ2yHDnc3Nn333fTqYwxxg/igLIpXkcAv/ij4cy8w2KmowpRUe6jt+hoaNrU5yZ27drF4MGDadq0KQ888ECa7pk0CapVg9tu87k7Y0KCJbMe6NjRJbWTJ3sdiTEmRHwNVBaRiiKSC2gJLPFHw5l9h8VM5aWX3Mdu/fqluz5WVFQUABMmTEjT9WvWwNdfu1FZHyp+GRNSLJn1QOnS8OCD8Prrbq6TMcaklYjMA74ArhaROBHpoKoJQA9gBbAZWKCq33sZZ7Yzbx707w8tW8KIEelq4p133mHx4sUMHDiQ8uXLp+memBjInx/atElXl8aEBEtmPRIZCYcPuz20jTEmrVS1laqWVtWcqhqhqq8ln1+mqlVU9SrJsgKcAAAgAElEQVRVHe51nNnKp59C27Zw660wYwZcooxWak6dOkVUVBTVqlWjTxq3uj1yBObOhccfBxs4N9mZJbMeueMOqFLFdgQzxmRuNmf2ErZscR+1VazoFnzlzp2uZoYPH87OnTuZNGkSuXLlStM9M2bAmTO28MsYS2Y9IgJdu8KXX8L69V5HY4wxqbM5sxexfz/ce6/b1eu996Bo0XQ1s2XLFkaPHk2bNm24LY2ruJKS3GDIDTfAtdemq1tjQoYlsx568knIk8dGZ40xJss5dcrtG7tvn6teULFiuppRVXr06EG+fPkYPXp0mu/76CNXESed68yMCSmWzHqoaFG3VmDOHDh2zOtojDHGpEliopuo+vXXbtLq9denu6k333yTDz/8kBdffJFSPuwSNmkSFC8OzZunu2tjQkamTWZFpKqIxIrIIhEJ2RlBkZFus5g33vA6EmOM+TubM5uKfv3c/NixY9182XQ6duwYffv2pXbt2nTp0iXN9+3ZA0uWQPv27tM9Y7K7oCazIjJdRPaLyMbzzjcSka0i8qOI9AdQ1c2q2hVoAdQJZpzBVLcuXHedm2qgF9yvxxhjvGFzZs8zaRKMGQM9e0KvXhlqatCgQezbt4+YmBjCw8PTfN/UqW7OrA/5rzEhLdgjszOARilPiEg48CrQGKgGtBKRasnvNQU+Az4MbpjBI+JGZ7//Hj77zOtojDHGXNCyZS6JbdLEjcpmwIYNG4iOjqZz587UrVs3zfedPQtTpkCjRnDllRkKwZiQEdRkVlU/BQ6fd/p64EdV3a6q8cB84IHk65eo6o3AYxdqU0Q6i8gaEVlz4MCBQIUeUK1auRqBthDMGGMyqW+/hUcfdaUD5s4FH0ZSz5eUlES3bt0oUqQIL774ok/3LlkCe/daOS5jUsoMc2avAHaneB0HXCEit4vIBBGZDCy70M2qOkVV66hqnRIlSgQ61oDInx+eeAIWLXKVXowxxmQie/bAffdB4cKwdCkUKJCh5mbNmsWqVasYNWoURX0s5xUTA+XKuYpgxhgnMySzqe0mrar6sapGqWoXVX016FEFWdeu7uOj6dO9jsQYY/6U7ReAnTjhphUcPQrvvgtlymSouSNHjtCvXz9uuOEG2rZt69O9W7fChx+6ubIZGBg2JuRkhmQ2Diib4nUE8EswOj5x4gSbNm0KRleXVK0a3HYbTJ7sJvYbY0xmkK0XgCUmQuvWborBggVwzTUZbnLAgAEcOnSISZMmEebjtrexsW5/hg4dMhyGMSElMySzXwOVRaSiiOQCWgJLfGkgvSMHTZs2pVmzZsTHx/t0X6BERsLOnbBihdeRGGOM4amn3IYI0dHQuHGGm1u3bh0xMTF0796dmjVr+nTvqVNu+9qHHgIfytEaky0EuzTXPOAL4GoRiRORDqqaAPQAVgCbgQWq+r0v7aZ35ODpp59m27ZtjB8/3qf7AqVZM/eQsoVgxhjjsUmTYNw46N3bL9tsJSUl0b17d4oXL87QoUN9vv/NN+G332zHL2NSE+xqBq1UtbSq5lTVCFV9Lfn8MlWtoqpXqerwYMXTuHFj7r//foYOHcrevXuD1e0F5coFHTu6aVm7dnkdjTHGZFMrVkBUFNx/P7z8sl+anDFjBl9++SWjR4+mcOHCPt8/aRJUrw633OKXcIwJKZlhmkGGZWSBwtixY4mPj6d///4BiMx3nTq5zROmTPE6EmOMyYYLwDZuhEcegRo1YN48v6y0Onz4MM888ww33XQTbdq08fn+NWvc0bWrq01ujPmrkEhmM7JAoVKlSvTt25dZs2bxxRdfBCA635Qv7yrATJsGmWQqrzEmG8tWC8D27XMP4AIF/FKC65znn3+ew4cP8+qrryLpyEZjYiBfPkhHHmxMthASyWxGPffcc5QpU4aePXuSlAlKCURGwq+/wttvex2JMcZkE6dPw4MPwsGDbtFXRIRfml27di2xsbH06NGDa6+91uf7jxxxA8SPPeY21zHG/J0ls0CBAgV46aWXWLt2La+//rrX4dCwIVSoYAvBjDEmKJKSoG1b+OormD0batf2U7Nu0VeJEiUYMmRIutqYNcvl2bbjlzEXFhLJrD/mdLVu3ZqbbrqJZ599lt9++82P0fkuPNwVxf74Y9i82dNQjDEm9A0e7OrIjhzpysr4yYwZM1i9ejUvvfRSuhZ9qbrasvXrQ61afgvLmJATEsmsP+Z0iQjR0dEcPHgw3X9B+1P79q449uTJXkdijDEhbPZsGDbMPXSfftpvzR45coRnnnmGG2+8MV2LvsANaGzZYqOyxlxKSCSz/lKrVi06d+5MdHS05zuDlSwJzZvDzJmuWLYxxhg/W7XKbad1++1uXpcfSwUMGDDgj0Vfvu70dc6kSVC0qCuuYIy5MEtmz/PCCy9QsGBBoqKiUFVPY4mMdEWy58/3NAxjTDYWsqW5tm93C77Kl4d//9sV+vaT9evXExMTQ7du3Xze6eucvXvdIuB27SBvXr+FZkxI8imZFZEc570u599wvFe8eHGGDRvGhx9+yNselxO4+WZXJNsWghljvBKSpbmOHoUmTSAx0ZXgKlrUb02rKj169KBYsWIMGzYs3e1MmwYJCW79hDHm4tKUzIpIJxHZCuwWkd9E5CMRqQ9kiuJR/h456Nq1KzVq1KBv376cPn3aL22mh4gbnT1XMNsYE1pEpJiINBMR/yyfN5eWkAAtW8K2bW5EtkoVvzb/xhtvsGrVKkaOHJmuRV/nQpwyBe6+GypX9mt4xoSkSyazIvIMcA9wW/JWtIWBkcBU4KoAx5cm/h45yJEjBxMmTGDnzp287KetDNPr8cddsWwbnTUm6xORpSJSI/n70sBGoD3whoj09jS47KJvX1i+3D1U77jDr00fPXqUfv36Ua9ePdq2bZvudt59F+LibOGXMWmVlpHZdkBrVd137oSqrgQaAB8EKjCv3XHHHTzyyCOMGDGC3bt3exZHoUKuWPa8ea54tjEmS6uoqhuTv28HvK+qTYB6uKTWBNKrr0J0NPzrX9Cxo9+bHzx4MPv378/Qoi9wC7+uuMLNhDDGXFqa/rWp6tlUzv0KRPs9okxk9OjRADz11FOexhEZ6Ypmz5rlaRjGmIxL+Sy9C1gGoKrHAe+3Hwxl778PvXrB/ffDqFF+b37jxo1ER0fTuXNnamdg04WffoKVK6FTJ8iR49LXG2PSlsz+JCL3nX9SRIYCH/o/pMyjfPny9O/fnwULFvDxxx97FketWlCvniue7XGBBWNMxuwWkZ4i0gy4DlgOICJ5gZyeRhbKtmxx9a2qVYO5c93ONH6kqvTs2ZNChQoxfPjwDLUVG+vCC8DAsTEhKy3JbDdgiIgsFJHnRWSkiGwAKgBbAxpdJvD0009Tvnx5oqKiSEhI8CyOyEj3PPYwpzbGZFwHoDrQFnhUVc9tN1gf8H4v7VB06JAbjc2dG955BwoW9HsX5wY8XnzxRYoVK5buds6cgddfhwcecNMMjDFpc8lkVlV/BuoCrwEngV+Ax1X1CWBmYMNLm0DWQcybNy9jxozhu+++IzY21u/tp1WLFlCkiC0EMyYrU9X9qtpVVR9IXntw7vx/VdXb1aahKD4eHn7YraZavNjVlPWzEydO8K9//YvrrruOjhkcTl240OXetvDLGN+kdc6squpyVR2rqhNUdUPyef9PPEqHQNdBbNasGXfddRcDBw7k4MGDAenjUvLmdcWz33rLFdM2xphgyLKbJqhCt27wyScwfTrUrx+Qbl544QX27NnDxIkTCc/g9IWYGFeK6847/RScMdmE7QCWBiLC+PHjOXbsGAMGDPAsjq5dXf3B117zLARjTDaTZTdNGDfOPSyffx5atw5IF1u3bmXMmDG0bduWG264IUNtffstfPGFe85noBCCMdlSWurM3iDixw2rs6jq1avTo0cPJk+ezDfffONJDJUrQ4MGrph2YqInIRhjMkBEWolI+idVmrR591146ilo3hyGDAlIF6pKVFQUefPmZeTIkRluLyYG8uSBDJSnNSbbSsvff08Ca0Vkvoi0FZHLAx1UZjV48GCKFStGVFQU6lFZgchI2L3bPauNMVlOeWChiPxPRAaLSD0bLPCzjRvdDl81a8LMmQEb5ly8eDErV65k6NChlCpVKkNtHTsGs2fDo4/6dWddY7KNtCwA66qq1wGDgSLADBH5QkReFJFbRcS/NU4yscKFCzNixAg+++wz5s+f70kMTZpAmTK2EMyYrEhVR6rqncC9wLe4jRLWichcEXlCRDKWFWV3+/e7h2TBgrBkids+MQBOnz5N7969qVGjBt27d89we7Nnw8mTboqvMcZ3af6TVVW3JC8AawTcCXwGPAKsDlRwmVG7du2oXbs2Tz/9NCdOnAh6/zlzuvqDK1bA9u1B794Y4weqelxV31LVLqpaC3gBKAHY1ijp9fvv8NBDsG+fq1wQwNpWo0aN4ueffyY6OpocGdzZQNUNTlx3HdSt66cAjclm0vX5i6qeVtVlqtpTVev4OyhfBXO1bXh4OBMmTGDPnj2MGDEi4P2lplMn98nZ5MmedG+M8TNV3aSqr6hqQ69jyZJUoUsXWLUKZswIaFa4Y8cORo4cSYsWLbj99tsz3N6qVW5mRGQk2IQTY9InJNZMBnu17Y033kibNm14+eWX+fHHH4PSZ0oREe6TtOnT3WCEMcZkay+/7ObHDh7sJp4GUN++fQkPD+eVV17xS3sxMVCoELRq5ZfmjMmWQiKZ9cKoUaPIlSsXffr08aT/yEg4eBAWLfKke2OMyRzeeQeeecbtLDNwYEC7WrFiBW+//TbPP/88ERERGW7vwAH3DH/iCcif3w8BGpNNWTKbTqVLl2bAgAEsXbqU9957L+j9N2gAV11lC8GMMdnYd9+5GrLXXef2gQ3g5/Tx8fFERUVRqVIl+vbt65c2p093m5R17eqX5ozJtiyZzYBevXpRuXJlevfuTXx8fFD7DgtzD8BVq9zz3BhjspWUlQsWLw5Y5YJzxo8fz7Zt2xg/fjy5c+fOcHtJSW7dw223QbVqfgjQmGzMktkMyJ07N+PGjWPbtm1MmDAh6P23awe5c0NsbNC7NsYY75yrXPDrrwGvXADwyy+/MHToUO6//37uvfdev7S5YgXs2OGmjBljMsaS2Qy69957ue+++xgyZAh79+4Nat/Firm1Dm+8AR5UCTPGZJCI5M9Otbr9QvXPj6UCXLngnH79+nH27FnGjRvntzZjYqBUKWjWzG9NGpNt+ZzM2sP378aOHUt8fDzPPvts0PuOjITjx2HOnKB3bYzxkYiEiUhrEXlXRPYDW4C9IvK9iIwWkcpex3i+YJY+TJNXXnFJ7MCBAa9cAPDZZ58xZ84cnn76aa666iq/tLlrl9vFsUMHyJXLL00ak61dMpnNCg9frx+2lStXpm/fvsycOZMvv/wyqH3Xq+d2bYyJcQMWxphM7b/AVcCzwOWqWlZVSwK3AF8CI0XkcS8DPF+wSx9e1NKl0K8fNG8OgwYFvLvExER69uxJ2bJl/TpYMWWKe1537uy3Jo3J1tIyMpvpH76Z4WH73HPPUaZMGXr27ElSUlLQ+hVxo7PffgtBzqONMb5roKrDVHWDqv7xoFDVw6r6b1V9GHjTw/gyr40bXTHWWrVcTdmwwM+Smzx5MuvXr+eVV14hn58WmMXHw7RpcN99UL68X5o0JttLy9PAHr5pUKBAAV566SXWrFnDjBkzgtp369ZuQa+V6TImc1PVsylfi0hJESl37kjtGoMryNqkCRQoEJTKBQAHDx7k+eef584776R58+Z+a/ftt926NVv4ZYz/XDKZTflgFZEiInK9iNx67jj/muysdevW3HzzzfTv35/ffvstaP0WKABt2sCCBXDoUNC6Ncakk4g0FZEfgB3AJ8BOIPgFq7OC+Hg3rWDvXpcJ+mGzgrR4/vnnOXbsGBMmTED8WL82JgYqVICGtnGxMX6T5s9pRKQj8CmwAhiS/HVwYMLKmkSECRMmcPDgQYYMGRLUviMjXbWa118ParfGmPQZBtQHtqlqReAuYJW3IWVCqtC9O3z6qdthoF69oHS7bt06pkyZQs+ePalevbrf2t2yBT7+GLp0gXBbRm2M3/gy6agXUBf4WVXvAGoBBwISVRZWq1YtOnfuTHR0NJs2bQpavzVqwM03u5qzQZyya4xJn7OqeggIE5EwVf0vUNProDKdCRPcBNNnn3XzqYJAVenZsyclSpRg8ODBfm07NhZy5oT27f3arDHZni/J7BlVPQMgIrlVdQtwdWDCytpeeOEFChYsSFRUFBrEEgORkfDTT/DBB0Hr0hiTPr+JSAHcp11zRGQ8kOBxTJnLypXQty888AC88ELQup09ezaff/45I0eOxJ+Lik+dcuvWmjeHkiX91qwxBt+S2TgRKQy8DbwvIouBXwITVtZWvHhxhg0bxocffshbb70VtH4ffhhKlLCFYMZkAQ8Ap4A+wHLgJ6CJpxFlJlu3QosW7iOn2bODUrkA4NixY/Tr14969erx5JNP+rXt+fPht9/cfg/GGP9K8xNCVZup6m+qOhgYALyGeyCbVHTt2pUaNWrQt29fTp8+HZQ+c+d2H18tWQJxcUHp0hiTPiWBXKqaoKozgalAQY9jyhyOHHGVC3LlcpULChQIWtfDhg3j119/JTo6mjA/J9AxMVCtGtxyi1+bNcbg2wKwmckjs6jqJ8D/gMmBCiyry5EjB9HR0fz888+MHj06aP126eLWTEybFrQujTG+WwiknN2emHwue0tIcCOyO3fCW2+5Zf9BsmXLFsaNG0f79u2p6+ctctescUdkpKsNbozxL1/+9LxGVf+oN6WqR3CLwMwF3H777bRo0YIRI0bw888/B6XPihWhUSOYOhXOWsE0YzKrHKoaf+5F8ve2sWnfvm7S/5QpcNNNQetWVenVqxf58+fnxRdf9Hv7MTGuNG6bNn5v2hiDb8lsmIgUOfdCRIoCOfwfUmgZPXo0IsLTTz8dtD4jI+GXX+Cdd4LWpTHGNwdEpOm5FyLyAHDQw3i8N3kyREe7hLZt26B2vXjxYlauXMmQIUMo6efVWUeOwLx58NhjkBl2BDYmFPmSzL4CfC4iw0RkKPA58FJgwgod5cqV49lnn2XhwoV89NFHQenz3nuhbFlbCGZMJtYV+D8R2SUiu4FngC4ex+Sd//4XevSAxo3hpeD+Wjl9+jR9+vShevXqdOvWze/tz5oFp0/bjl/GBJIvC8BmAQ8Dv+Lqyz6kqm8EKjBfiEgTEZly9OhRr0NJ1VNPPUWFChWIiooiISHw1XfCw6FzZ/dp3bZtAe/OGOMjVf1JVesD1YBqqnqjqv7odVye+OknV6+qcmU3hBnk3QRefvlldu7cSXR0NDlz5vRr26qutmy9elDLJuUZEzA+LddU1U2qOlFVo1U1eDsCXIKqvqOqnf1ZE9Cf8ubNy5gxY/j++++JCdJwaceOkCOH++TOGJO5iEhuEWkNRAF9RGSgiAz0Oq6gO3bMVS4AV4YlyM/wXbt2MWLECB555BHuuOMOv7f/8cdu1y8blTUmsHypZpBbRFqLyP+de/Bmy4dvOj344IPcfffdDBw4kAMHAr9x2uWXQ7NmbnvbIFUGM8ak3WJcacME4GSKI/tITHS7em3bBgsXQqVKQQ/hX//6F+BGZwMhJgaKFHEFGowxgePLyKw9fDNARBg/fjwnTpzgueeeC0qfkZFu8cGCBUHpzhiTdhGq+qiqvqSqr5w7vA4qqJ59Ft591y36uvPOoHf/4YcfsmjRIp599lnKlSvn9/b37nXVxdq1g7x5/d68MSYFX5JZe/hmUNWqVenZsyfTpk1j7dq1Ae/v9tvhH/+whWDGZEKfi8g/vepcRB4UkakislhE7gl6AG+8AaNHu7+4PfgM/uzZs/Tq1YuKFSsGrNLMa6+5srm245cxgedLMuvpwzdUDBo0iBIlStCzZ0+SkpIufUMGiLgH6erV8M03Ae3KGOObm4G1IrJVRDaIyHcisiEtN4rIdBHZLyIbzzvfKLm9H0Wk/8XaUNW3VbUT0BZ4NL0/RLp8+aWb1H/HHTB+fFC7PmfSpEl8//33jB07ljx58vi9/cREVyq3QQO3rs0YE1i+JLPpfviaPxUqVIiRI0fyxRdfMGfOnID39+ST7iOu2NiAd2WMSbvGQGXgHqAJcH/y17SYATRKeUJEwoFXk9utBrQSkWoi8k8RWXrekbKQ6vPJ9wXH7t3w4IMQEeHmyfq5ekBa7N+/n0GDBnHPPffQtGnTS9+QDu++635UW/hlTHCIqqbtQpHyqZ1X1eBsbZUGderU0TVr1ngdxiUlJSVRv359du/ezdatW7nssssC2l+HDvDmm24jhQB3ZUy2IyJrVbVOOu8tCfwxNKiqu9J4XwVgqarWSH59AzBYVRsmv342ub0RF7hfgJHA+6r6wUX66Qx0BihXrlztDO1keOoU3HIL/PCDG52tVi39bWVAx44dmTlzJt999x3/+Mc/AtJH48awYYPbldeDfN2YkJHW56svdWZ/Bo4BpYDyKQ7jo7CwMKKjo9m3bx/Dhg0LeH+RkXDypJumZozxnog0FZEfgB3AJ8BO4L0MNHkFsDvF67jkcxfSE2gANBeRC87qVNUpqlpHVeuUKFEi/dGpupVQ33zjasl6lMh+/fXXTJ8+nV69egUskd2+HVascDMpLJE1Jjh8Kc3VEfgUWAEMSf46ODBhhb569erRrl07xo8fz9atWwPaV5067pg0yf1OMcZ4bhhQH9imqhWBu4BVGWhPUjl3wX/tqjpBVWuraldVDfwkpBdecGVVRo2C++4LeHepSUpKomfPnpQsWZKBAwNXVXLyZAgLg06dAtaFMeY8vsyZ7QXUBX5W1TuAWridwEw6jRgxgrx589K7d2/SOt0jvSIjYdMm+N//AtqNMSZtzqrqISBMRMJU9b9AzQy0FweUTfE6AvglIwGek+EdFv/zHxg4ENq0gaee8kdI6fLGG2+wevVqRo0aFbCpXb//DtOnQ9OmblqwMSY4fElmz6jqGXAbKKjqFuDqwISVPZQqVYrBgwezfPlyli5dGtC+WraEwoWtTJcxmcRvIlIA92nXHBEZj6vhnV5fA5VFpKKI5AJaAkv8EGfGdlhcv94lsfXqueX9ktoAcuAdPXqUZ555hvr169OmTZuA9bNoERw8aAu/jAk2X5LZOBEpDLwNvC8ii/HTX/6eOXsWgrAb18X06NGDqlWr0rt3b86cOROwfvLlc5UN/v1v+PXXgHVjjEmbB4BTQB9gOfATrqLBJYnIPOAL4GoRiRORDqqaAPTATf/aDCxQ1e8DEnla/fqrG6IsUsTtHhCAElhpNWzYMPbv3090dDRhYT7t4u6TmBi3kdlddwWsC2NMKnxZANZMVX9T1cHAAOA13AM562re3C079XC/15w5czJhwgS2b9/OmDFjAtpX164uf58+PaDdGGMubaCqJqlqgqrOVNUJwDNpuVFVW6lqaVXNqaoRqvpa8vllqlpFVa9S1eEBjf5Sfv8dHnrIDVMuXgylS3sWyubNmxk/fjwdOnSgTp10FZ1Ik+++g1Wr3HM2gPmyMSYVl/wnJyJ9zz+A2kAl3IrYrKtjR1i3Dtq393RlVIMGDWjWrBnDhw8nLi4uYP384x9uV7DJk11Rb2OMZ+5O5VzjoEeRBumaM3vgABw+DK+/DrVrBy64S1BVevfuTf78+Rk+PLD5fWws5M4NbdsGtBtjTCrS8vdjweSjDhCJK/dyBdAVV5w762rSBF58EebPhxGplmMMmjFjxpCUlBSwrRXPiYyEn3+G5csD2o0xJhUiEiki3+GmCGxIcewAMuUmNOmaMxsRAd9+C48Gd3Ox8y1evJiVK1cyZMgQSpYseekb0unECVf68NFHoVixgHVjjLkAXzZNWAk8rKrHk18XBBaqaqOL3xk86do0QdUtUJgzB95+Gx7wbubEoEGDGDp0KB9//DG33XZbQPqIj4dy5VyprgCvOTMmW/Bl0wQRKQQUAUYAKbecPa6qhwMRn79klU1pzjl9+jTVqlUjf/78fPPNN+QMYNHXyZPd9IIvvoD69QPWjTHZjt83TQDKAfEpXscDFXyMK/MRgalT4frr4bHH3LYtHnnmmWcoV64cUVFRJCRkZGHzheXK5WZXLFvmdqcxxgSVqupOoDtwPMWBiBT1MK6Q8/LLL7Nz504mTJgQ0ERW1S38qlnTFW0wxgSfL8nsG8BXIjJYRAYBq4FZgQnLEZEHRWSqiCwWkXsC1lHevG61baFCbvWtRxUO8uXLxyuvvMKGDRuYMmVKwPrp3PnPHN4YE1Rzk7+uBdYkf12b4nWmk+E6sx7YtWsXI0aMoHnz5tx5550B7evLL92MishIzyqPGZPtpXmaAYCIXAfckvzyU1X9xucORabjStDsP7evePL5RsB4IByYpqojU7xXBHhZVTtcrO0Mfwz29ddw661Qty588IEbxgwyVaVBgwZ88803bNu2jeLFiwekn6ZNYfVq2L3bkx/TmJDhyzSDrCwrTTNo0aIFS5cuZfPmzZQvH9hd1594ws1Q++UXKFAgoF0Zk+34fZqBiAhuwVchVR0PHBKR69MR2wzgL/NsRSQceBW3mrca0EpEUi4uez75/cCqW9fVrfrf/6B7d08qHIgIEyZM4NixYwwYMCBg/URGwv79bkDaGBN8InKNiDQVkYfOHV7HFAr++9//snDhQvr37x/wRPbQIbdL7xNPWCJrjJd8mWYwCbgBaJX8+jjpSDBV9VPg/IUO1wM/qup2VY0H5gMPiDMKeE9V16XWnoh0FpE1IrLmgD+mB7RqBf/3fzBtGkRHZ7y9dKhevTo9evRg8uTJfPONz4PfadKwIVSsaDuCGeOF5E+opgMPA02SjzRtmmAuLCEhgaioKCpUqBDwyjDgKo/9/rtb/GWM8Y4vyWw9Ve0OnKI/uXQAACAASURBVAFQ1SOAvz6gvgLYneJ1XPK5nkADoLmIpPq4UNUpqlpHVeuUKFHCP9EMG+aqGvTpAytX+qdNHw0ePJjixYvTs2dPfJkKklZhYdClC3zyCWza5PfmjTEXVz/5ufWkqrZLPtp7HVRqstKc2djYWDZu3MiYMWPImzdvQPtKSnK1ZW++GWrUuPT1xpjA8SWZPZs8HUABRKQEkOSnOFKbNq+qOkFVa6tqV1WN9VNflxYWBrNnQ/XqrnDgtm1B6/qcwoULM2LECFatWsXcuXMvfUM6tG/v5svGBu+/rDHG+eK8qVSZVrrqzHrg4MGDDBgwgAYNGvDggw8GvL8PPoCffnJTtowx3vIlmZ0AvAWUFJHhwGfAi36KIw4om+J1BPBLWm8OyMhBgQKwZAnkyOE2VzhyxH9tp1G7du2oU6cOTz/9NMePH/d7+yVKuB19Z86Ekyf93rwx5sJm4hLarcmbJnwnIply04Ss4rnnnuPEiROMHz8eCUJZgZgY9wx9+OGAd2WMuYQ0J7OqOgfohyv2vRd4UFUX+imOr4HKIlJRRHIBLYElPsQWmJGDChXgP/+BHTugZUsIUO3XCwkLC2PixIns3buXF154ISB9REbCsWMwb15AmjfGpG460Aa3GPbcfNkmnkaUha1bt46pU6fSs2dPqlUL/IB3XJwb62jf3m1ha4zxli8js6jqFlV9VVUnqurm9HQoIvOAL3DbOcaJSAdVTQB6ACuAzcACVf0+Pe373S23uD/BV66Ep54Kevf16tWjbdu2jB07lm0BmO5w003wz3+6H9GD4g3GZFe7VHWJqu5Q1Z/PHV4HlRWpKj179qREiRIMGjQoKH1Om+ael126BKU7Y8wl+FKaK4+I9BWR/4jIv0Wkj4jk8bVDVW2lqqVVNaeqRqjqa8nnl6lqFVW9SlWH+9puQHXoAL17w/jx7ikWZCNHjiRv3rz07t3b74vBRNxK3HXrXJldY0xQbBGRuSLSykpzZcycOXP4/PPPGTFiBMGY13v2rNtwplEjVxHGGOM9X0ZmZwHVgWhgIlAVtyuY54Ky2nb0aFfPqls3+PTTwPWTilKlSjF48OD/b+++w6Qqsj6Ofw8zDANIzhJFCcoiqJhWRQwvwYQJMaAgGZWgEkR0UQEVRUFAhiSKigQxrII5AGbAgIguSWQBA6wimYFh6v2jBh2RgQndfTv8Ps9zn5m+fcO5O25xurrqFK+//jpz5swJ+fXbtYPixVWmSySCigLpQHOivDRXNFcz2LZtG/3796dJkyZ06NAhIvd89VW/QIImfolEj1yvAGZmS5xzjQ63L0hhX6Hm99/htNN8peyFCyP6sXzv3r00atSI9PR0li1bRmpqnjvFD6l7dz8RbMMGKKsV4kVyTSuABeeOO+5g+PDhfPrpp5x66qkRuef//R8sX+6nUiQlReSWIgkr5CuAAV+a2WnZbnAq8FF+gotZpUv7j+X79vn1YMNQYSAnhQsXZvTo0Xz//fc88sgjIb9+jx6we7dPaEUkPMxsjJmNzmkLOr5YsnLlSh599FE6dOgQsUR25UpfkqtrVyWyItEkT4smAB+b2Q9m9gN+EtfZCVdSpk4dv37hd9/Bddf5xDZCzj//fC6//HLuv/9+1q1bd/gT8qBRIzj9dF9zVhPBRMJmMfA5kAqcCKzM2hoDkWtM4sCtt95KamoqDzzwQMTuOX68r9bYuXPEbikiuZCXZLYlcBRwdtZ2FNCKKCgpE/ExXeef7yeDvfoqDBoUmXtmeeSRR8jMzAzLUo09evj1Id5/P+SXFhHAOTfVOTcVqAOc45wb45wbA5yHT2glF1577TXmzp3L4MGDqVy5ckTuuWuXX772sssgQrcUkVzKSzJbARiFXzjh1axtTjSUlAlkhZqbbvIDTYcPh2ciNw+uVq1a3HHHHcycOZN58+aF9Npt2vjxspoIJhJ2RwIlsr0+ImufHEZ6ejq9e/emXr169OzZM2L3nTXLr52jiV8i0Scvyew04EngCv6cfZu4Rb7NYPRoaNbMf+f06acRu3X//v2pVasWPXv2JCOECzmkpsKNN8LLL8NPP4XssiLydw/i5yE8ZWZPAV/gF6SRwxg1ahSrVq1i9OjRpKSkROy+aWlQv75v8kUkuuQlmd2kIt8HKFwYZs+GatXg0kshxONYc1K0aFEeffRRvvnmG9JC3I3arZtf6CyAcroiCcM59yR+HsJLWdvpzrmnAg0qB9FUmuvHH39kyJAhtG7dmubNm0fsvl9+CZ995r+Mi8BKuSKSR3kpzXUecA3wLr4+IgDOuRfDE1reBVY65ttvfcmuo4+GDz/0RVvDzDlHixYtWLhwIStWrKBixYohu3bz5n5+25o1frKDiOSsoKW5zOxofNt6tXPuH6GLLLSioTTX9ddfz/PPP8+3335L7dq1I3bfrl3h2Wd9fdnSpSN2W5GEF47SXDfiJyjsX0s8aop8B95zcNxxMGMGLFkC7dtDZmbYb2lmjB49mh07dnDnnXeG9No9evi1x+fODellRSSLmVUxsz5mthBYBiThE1rJwUcffcSzzz5L3759I5rIbtkC06bBNdcokRWJVnlJZhs555o459o7527M2jqGLbI8CGQC2IEuuMCvEvbCC3DPPRG5Zf369enTpw9Tpkxh4cKFIbvuxRdD1aqaCCYSambWxczeA+YD5YHOwE/OuXudc0uDjS567du3j549e1KtWjUGDhwY0Xs/8wzs3KmJXyLRLC/J7KdmdlzYIokHt90GHTvCkCEwc2ZEbnn33XdTqVIlbrnlFjJD1COcnAxdusCbb8Lq1SG5pIh4j+N7Ya91zt3lnPsaUGXnw3jiiSf48ssvGTFiBMUjMIxrP+f8h/omTfwmItEpL8nsmcBXZrbczL5OuMUScsMMxo2DM8+EDh1g0aKw37JkyZI89NBDLFq0iKeeeipk1+3c2a9wM2FCyC4pIr781gzg0ay2dAhQOOCYotrmzZu58847adq0KVdddVVE7/3BB35KhHplRaJbXhdNqAM058/xsolbmisnRYrAiy9CpUrQujVs2BD2W7Zr145//vOf3HHHHfz+++8huWbVqj78KVP8MrciUnDOuf8559Kcc03xCyVsATaa2Xdmdn/A4UWlf/3rX2zevJnRo0djES4lkJbmx8lefXVEbysieZTrZDZ7Oa5oK80V+ASwA1Wo4FcH27bNZ4Q7d4b1dmbGmDFj+N///sc9IRyv26MH/Pqrrz4mIqHlnFvvnBvhnDsJuJRsVWLEW7p0KePGjaNbt240atQoovf+5Rc/BaJ9eyhWLKK3FpE8Omwya2bbzGzrQbZtZrY1EkEeTlRMADtQw4bw3HPwxRd+JYJclkDLrxNPPJGuXbsyduxYli4NzTySc8+FOnU0EUwkVMzszIPtd84td87da2YlzSxqy3NFknOOXr16Ubp0aYYMGRLx+0+ZAnv3+trbIhLdDpvMOudKOOdKHmQr4ZwrGYkgY9bFF8ODD/p1EO+7L+y3GzZsGCVLlqRXr17ktn7woRQq5IuEf/wxfK3R0SKhcIWZfWxm/zKzC83sFDNramYdzewZYA5QNOggswvqm6/Zs2czb948hg4dSrly5SJ67337/HyBZs3g2GMjemsRyYfc9MwedpBSbo5JWP36+e+p7rkHnn8+rLcqV64cw4YNY968ecyaNSsk1+zQwS9zq95ZkYJzzt0KXAj8BLQBhgC34ecjTHDONXXOhX/maB4E8c3Xzp07uf3222nUqBFdu3aN2H33e+MNWLtWE79EYkVuxsy+b2Y9zaxG9p1mlmJm55rZVKB9eMKLA2b+I/4//+mT2jCvoNO1a1caN25M37592b59e4GvV7YstG3rV7/Zti0EAYokOOfcZufcJOdcB+dcC+fcpc65gc65D4OOLVoMHz6cdevWMWbMGJKSkiJ+/7Q0P4f30ksjfmsRyYfcJLMtgX3AdDP70cy+NbM1wEr8ijUjo3VN8ahRpAi89JKfGBbmCgdJSUmMHTuW9evXc//9oZkc3aMHbN/uE1oRKTgz6501PtbMbLKZfWFmzYOOKxqsWbOG4cOHc80113DWWWdF/P5r18Jrr/nyhCkpEb+9iORDbsbM7nbOjXPOnQHUxJeTOcE5V9M518U591XYo4wHFSv6CgdbtoS9wsEZZ5zB9ddfzyOPPMLKlSsLfL1TToETTvC9FWGexyaSKDo657biSx1WxC8X/mCwIUWHvn37kpSUxEMPPRTI/SdO9F+oBTC6QUTyKdelucysDZDqnPsJuMXMXjSzE8IXWu5FXWmunBx/PEyf7iscdOgAIVqx62CGDx9OkSJF6N27d4Eng5n53tmlS/1kMBEpsP3zDC4AnnTOLcm2L2G98847vPjiiwwaNIhq1apF/P579sDkyXDhhVCjxuGPF5HokJdFE+52zm3LKi3TApgKjA9PWHkTlaW5cnLxxTB8uJ8MFsYKB1WqVOGee+7h9ddfZ86cOQW+3rXXQsmSmggmEiKfm9lb+GT2TTMrAYTv020M2Lt3L71796Z27drcdtttgcTw0kuwcaMmfonEmrwks/uyfl4IpDnn/g1oRFF+9O3ra8/eey/MnBm22/Ts2ZNjjz2WPn36sLuAy3gVLw433OBz8E2bQhSgSOLqBNwBnOyc24lvS28MNqRgjRs3jm+//ZaRI0eSmpoaSAxpaXDUUdCiRSC3F5F8yksyu8HMJgBXAa+ZWZE8ni/7mcH48XDWWX64wcKFYblN4cKFGTNmDN9//z0PP/xwga/Xvbv/Gu7JJ0MQnEgCc85lArWAf5nZI0BT51zCVnPeuHEjgwcPpkWLFlx8cTCrpH/7Lcyf7xdJKKR/2URiSl7+L3sV8CbQ0jn3O1AW6BeWqBJBSopfK7FKFT8hbP36sNzmvPPOo02bNjzwwAOsXVuw1YcbNICmTX2lsTAO9xWJe2Y2DugOLAW+AbqZ2ePBRhWcQYMGsWPHDkaNGkVQZcvHj/fNcseOgdxeRAog18msc26nc+5F59zKrNc/OefeCl9oCaBCBV/hYMcOuOQS/zMMRowYgZlx++23F/haPXrA99/DW/rLixTE2UAL59yTzrkn8WNnmwUbUjAWL17ME088Qe/evalfv34gMezYAVOnwpVX+mZZRGJLXqoZpJrZbVlVDF4ws1vNLJiBTfGkQQM/bnbJErj++rB0edaoUYNBgwbxwgsv8PbbbxfoWpdf7quMaSKYSIEsB7LPl68OJNwwg8zMTHr16kXFihW5++67A4tj+nTYulUTv0RiVV6GGTwNNADGAGOBY4FnwhFUwmnVCh591E+lveuusNzi9ttv55hjjqFXr17s2bMn39dJSfHFxOfMgf/+N4QBiiQAM3vVzF4BygHfmdk8M3sf+A6Iyj7BcJY+nDZtGp988gkPPvggQVWjcc5/OP/HP+CMMwIJQUQKyHJbg9TMljjnGh1uX5CaNGniFod5udiwcc7PsJo40X/fdcMNIb/Fa6+9xoUXXshDDz1Ev375H+68dq2f8TtoEAwZEsIARWKQmX3unGuSy2PPPsTbzjm3IERhhVyo29dt27ZRt25datSowSeffEKhgGZdLVwIp54Kjz8ON90USAgikoPctq95aT2+NLPTst3gVOCj/AQXajGzaMKhmMHYsXDuudClC3wY+mXaL7jgAi6++GLuu+8+NhRgSd2aNX1R8cmTfXUDEckd59z8g21ABtA26PgiaejQofz888+MGTMmsEQWfK9s8eLQrl1gIYhIAR22BTGzpWb2NXAq8LGZ/WBmPwCfAE3DHF+uxNSiCYdSuDDMng21asFll/mZViE2atQo9u7dW6CeWfBjy37+GV5+OUSBiSQYM2tsZg9ltadD8UMNEsKKFSsYOXIkHTt25JRTTgksjs2bYcYMn8iWLBlYGCJSQLn5OHwRcDHQEjgKPwu3GT6R1ajJUCtTxg9I3bfPrxYW4t7m2rVrM2DAAKZPn878+fPzfZ0WLXzOrYlgIrlnZnXN7F9m9h1+7sE6/HCvc5xzYwMOLyKcc/Tp04eiRYty//33BxrL1Kmwe7cmfonEusMms865tfs3oAxwMzAPGAK8Ft7wElSdOr4G7YoV0LYtZGSE9PIDBgygZs2a3HLLLezduzdf10hK8sXF582D7xKmP0mkwP4DnAdc7Jw70zk3hj9XV0wIc+fO5fXXX+eee+6hUqVKgcXhnK8te/rp0ChqZn6ISH7kZphBwvckBOKcc3y355tvwq23hvTSxYoVY9SoUXzzzTc8/nj+67R37OhHRowfH8LgROLbFcDPwPtmNsnMzgOCWSUgAOnp6fTp04f69etzyy23BBrL++/D8uXqlRWJB7kZZpDwPQmB6dwZ+vb1E8PGhvZzQ+vWrWnZsiWDBw/m559/ztc1Klb0RcanTg3beg8iccU595Jzri1QH/8N161AJTNLM7PmgQYXASNHjmT16tU89thjFC5cONBY0tKgbFlo0ybQMEQkBHKTzCZ0T0LgHnzQrw7Wuze88UbILmtmjB49mt27d9O/f/98X6dHDz+sd8aMkIUmEvecczucc9OccxcB1YCvgDsCDiusNmzYwNChQ7nkkkto3jzYvP2nn/zk1RtvhFQt/SMS83IzZjahexICl5QE06ZBw4Zw1VXwzTchu3SdOnXo27cvzzzzDB/msxTYmWf6Rcw0EUwkf5xzvznnJjjnzg06lnAaMGAAGRkZjBw5MuhQmDzZT0Xo1i3oSEQkFHJd3C8RexKixhFHwKuv+p8XXQS//BKyS995553UqFGDm2++mYx8TDQz872zn38OixaFLCwRiSMfffQR06ZNo2/fvtSuXTvQWDIy/No0//d/fq6tiMS+fFWqTpSehKhSvTq88gps3AiXXgq7doXkssWLF2fkyJF8/fXXpOWze/X6633RcfXOisiB9u3bR8+ePalatSoDBw4MOhzmzoX16zXxSySeBLfsiuRdkybwzDPw6ae+lEAulyI+nMsuu4zmzZtz11138Us+en1LlvRFx6dPh99+C0lIIhInnnjiCb788ktGjBhB8eLFgw6HtDSoWtWX8RaR+KBkNtZccYWfFDZjBtxzT0guaWaMGTOGXbt2MWDAgHxdo0cPX3x86tSQhCQicWDz5s3ceeednHXWWbRtG/xqvd9/76sddukCyclBRyMioRIXyayZXWxmE7eEeLWsqNW/v++Zve8+ePbZkFyybt269O3bl6lTp+ZrMlijRr74+PjxIeswFpEYN3jwYDZv3szo0aMxC74IzoQJfk5t585BRyIioRQXyaxz7lXnXNdSpUoFHUpkmPnvys45Bzp1gg8+CMllBw0aRPXq1fM9GaxHD79o2XvvhSQcEYlhS5cuZdy4cXTr1o3GjRsHHQ7p6TBlCrRu7YcZiEj8iItkNiGlpPglb486Ci67DFatKvAls08GGzduXJ7Pb9MGypXTRDCRROeco3fv3pQqVYohQ4YEHQ4As2fD//4H3bsHHYmIhJqS2VhWpgzMmeN/v/DCkMy+uvzyy2nevDl33313nlcGS031ox9efhl+/LHAoYhIjFq7di1Llixh6NChlCtXLuhwAP8h+5hj4Lzzgo5EREJNyWysO+YYnz3+8ANcfjns2VOgy2WfDNavX788n9+tG+zbB5MmFSgMEQkjMzvWzMab2WwzC3mRqlq1arFy5Uq6dOkS6kvny9dfw0cf+V7ZQvpXTyTu6P/W8eDMM+HJJ2H+fD9Nt4AzsOrWrUu/fv149tlnWbBgQZ7OPfpoaNHCJ7P5GHYrIodhZlPMbKOZfXPA/pZmttzMVpnZIRe0cc5955zrDlwFNAlHnGXLliU5SkoGpKVBkSLQoUPQkYhIOCiZjRfXXuurGzz9NAwdWuDLDRo0iJo1a3LTTTexd+/ePJ3bowds2OAXLRORkHsKaJl9h5klAY8DrYDjgGvM7Dgza2hmcw7YKmadcwnwIfBuZMOPrG3bfNGXtm39mH4RiT9KZuPJXXfBDTfAv/4F06YV6FLFihXjscceY9myZYwZMyZP5154oV+wLB9zyETkMJxzC4ADB8ifAqxyzn3vnNsDzABaO+eWOucuOmDbmHWdV5xz/wSuy+leZtbVzBab2eJNmzaF65HC6tlnYft2rfglEs+UzMYTM//9frNmfiZWAUt2XXLJJVx44YUMHjyYDRs25Pq85GTo2hXeeQdWrixQCCKSO1WBddler8/ad1Bm1szMRpvZBOC1nI5zzk10zjVxzjWpUKFC6KKNEOf8EIPGjeHUU4OORkTCRclsvMlesuvSS33h13wyM0aPHk1GRga33357ns7t3NkntePH5/v2IpJ7B1uRIMfB8865ec65Xs65bs65x8MYV6A+/hiWLvW9slGwZoOIhImS2XhUtizMneun7V5wARTg68HatWszcOBAZs6cydtvv53r8ypX9sUVnnwSdu3K9+1FJHfWA9Wzva4GJHyBvLQ0KFHCTykQkfilZDZeHX00vPKKn4nVunWBMsr+/ftzzDHHcPPNN5Oenp7r83r0gM2bYebMfN9aRHJnEVDHzI4ysxTgauCVUFw4VpcL37QJnn/eTyM44oigoxGRcFIyG89OP93Pfvj0U9+iZ2bm6zKpqak8/vjjrFy5khEjRuT6vLPPhmOP1UQwkVAys+nAJ0A9M1tvZp2ccxnALcCbwHfALOfcslDcL1aXC3/qKV92WxO/ROKfktl4d8UV8PDDfi3HAQPyfZnmzZtz5ZVXMnToUNasWZOrc8z8PySLFsHixfm+tYhk45y7xjlXxTlX2DlXzTn3RNb+15xzdZ1zRzvnhgUdZ5AyM2HCBDjrLGjQIOhoRCTclMwmgttug5tughEjCtRNOnLkSJKTk+nZsyculwsz3HADFCvmx66JSOyJxWEGb78Nq1erV1YkUSiZTQRm8NhjcNFF0LMnzJmTr8tUq1aNe++9l7lz5/Lyyy/n6pxSpaBdO5g+3Y+fFZHYEovDDNLSoEIFPwlVROKfktlEkZwMM2bAiSf6pXAWLcrXZXr16sXxxx9P79692b59e67O6dHDzz+bOjVftxQRybV16/zqg506+SVsRST+KZlNJMWL+1a+YkXfS/v993m+RHJyMuPGjWPdunXce++9uTqncWM/Fy0tzRcxFxEJl0mTfDvTrVvQkYhIpERtMmtmtc3sCTObHXQscaVyZXj9ddi7F1q1gl9/zfMlzjjjDDp16sTIkSNZunRprs656Sa/fsN77+X5diISoFgaM7t3L0ye7Ju2WrWCjkZEIiWiyayZTTGzjWb2zQH7W5rZcjNbZWZ3AGStMd4pkvEljPr1fQ3atWvhkkvyVYN2+PDhlC5dmh49epCZi5JfV14J5cvD43G71pBIfIqlMbP//jf89JMmfokkmkj3zD4FtMy+w8ySgMeBVsBxwDVmdlyE40o8Z57pa9B+8omfobVvX55OL1euHCNGjOCjjz7iySefPOzxqal+DNsrr8D69fkNWkQkZ2lpULOm75kVkcQR0WTWObcA+O2A3acAq7J6YvcAM4DWkYwrYV15JTz6KLz4Itx6a54HtLZv356mTZvSv39/NuViydxu3Xz9x0mT8huwiMjB7R/G1LUrJCUFHY2IRFI0jJmtCqzL9no9UNXMypnZeOAEMxuY08lm1tXMFpvZ4twkVHKAPn18HdoxY3wd2jwwM9LS0ti6dSv9+vU77PFHHQUXXAATJ/qVeUREQmX8eChc2H8DJCKJJRqSWTvIPuec+9U51z1rNZsHcjrZOTfROdfEOdekQoUKYQwzjj38sC/X1b8/TJuWp1OPO+44+vXrx9SpU3n//fcPe/xNN8HPP0Muy9SKSMBiYQLYrl1++drLL4dKlYKORkQiLRqS2fVA9WyvqwE/BhRLYipUyBeBbdYMbrzRL5+TB3fddRe1a9eme/fupKenH/LYFi18D20BFiITkQiKhQlgM2f6RVk08UskMUVDMrsIqGNmR5lZCnA18EpeLhALPQdRr0gReOklX+ng8svhiy9yfWqxYsUYN24cK1asYPjw4Yc8NikJuneH+fNh2bKCBi0i4id+HXssNG0adCQiEoRIl+aaDnwC1DOz9WbWyTmXAdwCvAl8B8xyzuUpzYmFnoOYULo0vPEGlC3rpwOvXp3rU1u0aEHbtm0ZNmwYK1asOOSxHTv63Fm9syJSUF98AQsX+g/JdrBBayIS9yJdzeAa51wV51xh51w159wTWftfc87VzRofOyySMckBjjwS3nwTMjL8mIBffsn1qaNGjaJo0aJ0794dd4jKCOXL+yG6Tz8NW7eGImgRSVRpaVCsGNxwQ9CRiEhQomGYQYFpmEGI1a8Pc+f66uOtWuU646xcuTLDhw/n/fffZ+rUqYc89uabYft2X+pWRCQ/tmyB556Da67xXyyJSGKKi2RWwwzC4LTTYPZsWLoULrsMDjOxa78uXbpwxhlncPvttx+y9uzJJ8NJJ/kVwfJY3lZEIiiaOwuefhp27tTEL5FEFxfJrIRJq1YwZYqvRH7ddblaJaxQoUJMmDCBbdu2cdttt+V4nJnvnf32W1iwIJRBi0goRWtngXN+iMH+D8YikriUzMqhXX+9XyXshRd8kdhcdKM2aNCAAQMG8Oyzz/Lmm2/meNzVV0OZMr53VkQkLxYsgO++U6+siCiZldy49VYYONAv3XXXXbk6ZdCgQdSrV4/u3buzY8eOgx5TtKivbPDSS/CjKguLSB6kpflxsm3bBh2JiAQtLpLZaB7TFTeGDYMuXeD++31P7WGkpqYyceJEfvjhBwYPHpzjcT16+NELEyeGMlgRiWe//AIvvggdOvhKBiKS2OIimY3WMV1xxcx3hbRpA7ff7sfSHkbTpk3p2rUrI0eO5PPPPz/oMUcf7YfmTpgAe/aEOmgRiUdPPAF79/rasiIicZHMSoQkJcEzz0Dz5r6X9oUXDnvK8OHDbY9WRAAAHBJJREFUqVSpEp06dWLv3r0HPeaWW+Dnn31Pi4hEl2j75mvfPv/h99xzoV69oKMRkWigZFbypkgRn3Weeqov7niICV4ApUuXJi0tjSVLlvDwww8f9JgWLXwPrSaCiUSfaPvm6/XX4b//1cQvEflTXCSz0dZzEPeKF4fXXoMGDXwN2g8/POThrVu3pk2bNtx777385z//+dv7hQr5Ml0ffghffRWuoEUkHqSlQeXK0Lp10JGISLSIi2Q22noOEkLp0r5XtkYNuPBCWLz4kIePGTOG4sWL06lTJ/YdpF7t/okc6p0VkZysWeN7Zjt3hsKFg45GRKJFXCSzEpCKFeGdd6BsWT9WYOnSHA+tVKkSo0aN4uOPP2bs2LF/e79MGWjXDqZNg99+C2fQIhKrJk70c1G7dg06EhGJJkpmpWCqVYN33/VFY88/H5Yvz/HQ66+/ngsuuICBAweyevXqv71/yy2wa5efqSwikl16um8bLroIqlcPOhoRiSZKZqXgatf2CS3AeefBQRJVADNjwoQJFC5cmE6dOpGZmfmX9xs2hLPPhnHjcrVyrogkkBdfhE2bNPFLRP5OyayERr16fsjB7t2+Zs4PPxz0sGrVqvHII48wf/580tLS/vZ+z57+1DlzwhuuiMSW8eP95+bmzYOORESiTVwks6pmECUaNvQJ7bZtcM45vn7OQXTq1InmzZvTv3//vw03aN3af4U4ZkwkAhaRWLBsGSxYAN26+eonIiLZxUWzoGoGUaRxY3jrLdi82ffQrlv3t0PMjMmTJ5OcnMyNN974l+EGycn+a8R33/X/gIlIsKKhs2D8eEhJgRtvDCwEEYlicZHMSpRp0sSX7dq0yffQrl//t0OqV6/OY489xgcffMDo0aP/8l6XLn5tBvXOigQv6M6C7dvh6af9StoVKgQSgohEOSWzEh6nnup7aDdtgmbNDtpD2759ey666CIGDhz4l8UUypf3ZbqeflplukQS3fTpsHUrdO8edCQiEq2UzEr4ZE9ozz4b1q79y9tmxsSJEylWrBg33HADe/fu/eO93r19ma5JkyIdtIhEC+f8il//+AeccUbQ0YhItFIyK+F16ql+UtjmzT6h/f77v7xdpUoVxo8fz6JFixg2bNgf+xs29CMUxo6FbDmuiCSQhQvhyy/9OHqzoKMRkWilZFbC7+ST/YyurVt9QrtixV/ebtOmDddddx1Dhw5l4cKFf+zv08cPt33ppUgHLCLRIC0Nihf3w45ERHISF8lsNMy2lcM48UR4/32/jE/TpvDNN395e+zYsVSpUoV27dqxY8cOAC680NeVfOyxIAIWkSD99hvMnAnXXw8lSwYdjYhEs7hIZoOebSu51KgRzJ8PSUm+h3bx4j/eKl26NE8//TSrVq3i1ltvBfxhvXrBxx/DZ58FFbSIBOGpp/waLFrxS0QOJy6SWYkhxx7rq5+XLOnr0M6f/8db55xzDv3792fSpEm8lDW2oGNHf+ijjwYVsIhEWmamry37z3/C8ccHHY2IRDslsxJ5Rx8NH34I1apBy5Z/Wbv2vvvu46STTqJz585s2LCBEiWga1eYPTvHFXJFJM689x6sXKleWRHJHSWzEoyqVX0PbYMGcOmlvqgskJKSwnPPPUd6ejrXXnstGRkZ9OrlZzIfsLaCiMSptDQoVw6uvDLoSEQkFiiZleCUL++7YJo1g/btYcQIAOrWrcu4ceNYsGABQ4YMoXp1uOoqmDwZNMdPJL79+CP8+99+iFFqatDRiEgsUDIrwSpZEubO9dlqv35w222QmckNN9xA+/btGTJkCO+99x633QbbtvmEVkTi1+TJsG8fdOsWdCQiEiuUzErwihTxa1b26gUjR0LbtrB7N2PHjqVevXpcd911VKv2M2ef7d/esyfogEUSRyRLH2ZkwMSJ0KKFH1ovIpIbSmYlOhQqBKNGwSOP+Nle55/PEbt3M2vWLLZs2cLVV19Nv34ZbNgA06YFHaxI4ohk6cM5c2DDBujePey3EpE4EhfJrBZNiBNmfpjBrFm+Bu1pp9EwJYWJEycyf/585s27k0aN4KGHfOkeEYkvaWm+yMlFFwUdiYjEkrhIZrVoQpxp08avFrZ1K5x2Gu2qVKFHjx6MGPEw55zzIv/5D7zyStBBikgorVoFb70FXbpAcnLQ0YhILImLZFbi0Omnw8KFvoRXixY8Vq8ep5x8MpMnt6dq1W948EFwLuggRSRUJkzwq/517hx0JCISa5TMSvSqVcuvZduqFYX79OG9OnUoU7w46emt+eyz35g3L+gARSQUdu+GJ5/0JaePPDLoaEQk1iiZlehWsiS8/DLceSfFn3uOZRUqcMSWdaSktOWeezKCjk5EQuD55+HXX7Xil4jkj5JZiX5JSTBsGMyaRYk1a/i2aFFO3/MOCxb0ZP58jTUQiXXjx0PdunDuuUFHIiKxSMmsxI42bWDhQopWqcK7ZgxgPF06PRx0VCJSAF9/7UcTde/uC5qIiOSVklmJLccdB4sWUejKK3kQeGz1AB6544mgoxKRfEpL88vWtm8fdCQiEquUzErsKVECmzmT7Q8/xjkY1wzvzJIRI4KOSkTyaNs2ePZZuPpqKFs26GhEJFYpmZXYZMYRfXvxzM3v8zspNOrXj1/atYP09KAjE5FcevZZ2L5dE79EpGCUzEpMu+GRs2l95DeMK3QElaZNI71hQ/j886DDEpHDcM4PMTjxRDj55KCjEZFYltDrrPR5ow9f/fxV0GFIASX3gpv/cxyDC31OncyVpIxtAjVrQo0aUEif1yT3GlduzKiWo4IOIyF8/DEsXQoTJ2ril4gUTFz8S29mF5vZxC1btgQdigSgUiUofkRRtiafwJfJyWwqVAjWrvU9tPpvQiQqpaX5MtLXXht0JCIS6+KiZ9Y59yrwapMmTbrk5Tz1wMSPt46EFi2gX79lPPXUOZyQkcGU1FRSfvoKunWD++/XDBORKPG///mFErp2heLFg45GRGJdXPTMijRvDq1aQVpaA2bMeJ/3UlM5etcufmzbFiZN8hXZJ0+GzMygQxVJeFOmwJ49vrasiEhBKZmVuDFmDGRkwMSJDfjoo49ILV+eOq++ygejR8Oxx0KXLn6myfz5QYcqkrAyM2HCBGjaFBo0CDoaEYkHSmYlbhx9NNx5J8ycCatWHcWHH35IvXr1aNarF49dcQXu2Wdh0yZo1gwuuwy+/TbokEUCY2bFzexzM7sokvd96y34/nuV4xKR0FEyK3GlXz+oUwduvhlKlqzEggULuOSSS+hz6610mz+fPUuXwrBh8O670LChX3ZozZqgwxbJNTObYmYbzeybA/a3NLPlZrbKzO7IxaUGALPCE2XO0tKgYkW4/PJI31lE4pWSWYkrqakwbhysXAl33AFHHHEEL7zwAnfeeSeTJk3irObNWXPNNb5r6NZbfTdunTpw443+JJHo9xTQMvsOM0sCHgdaAccB15jZcWbW0MzmHLBVNLPzgW+BXyIZ+H//C3PmQKdOkJISyTuLSDxTMitx5/zzoXdvGD0aXn8dChUqxLBhw5g9ezbLly/nhBNO4MUFC2DECFi9Gm65BWbMgPr1oU0bWLgw6EcQyZFzbgHw2wG7TwFWOee+d87tAWYArZ1zS51zFx2wbQTOAU4DrgW6mNlB/y0ws65mttjMFm/atKnAsU+a5BdL6Nq1wJcSEfmDklmJSw8+6EcRdOgAGzf6fVdccQVffPEFdevW5YorrqBdu3b8mpoKo0bBDz9A//7w9ttw6qlw5pm+13bv3iAfQyS3qgLrsr1en7XvoJxzg5xzfYDngEnOuYOW+XDOTXTONXHONalQoUKBAty71xcUadUKatUq0KVERP5CyazEpdRUeO45v2ZCu3Z/5qS1a9fmww8/ZPDgwcycOZMGDRowa9YsXMWK8MADsG4djBwJP/0EV1/tVxK76y4/LEEkeh1sDS13uJOcc0855+aEIZ6/efll+PlnTfwSkdBTMitx6x//gMcf952tN9/sv94ESElJ4Z577mHRokUceeSRtG3blnPPPZevv/4aSpSAPn38+Nm5c+GEE3ySe/TRcO658OSTWlVMotF6oHq219WAH0Nx4VCtsJiW5j8btmoViqhERP6kZFbiWqdOMHCgH6s3fPhf32vcuDELFy5k3LhxfP3115xwwgm0b9+e1atXQ6FCcMEFPqFduxaGDPGzVzp29OvnXnklTJ8O27YF82Aif7UIqGNmR5lZCnA18EooLuyce9U517VUqVL5vsZ//gPvv+/HyiYlhSIqEZE/KZmVuDd0KFxzjU9qJ0z463vJycn06NGDlStX0qdPH2bNmkW9evXo2LEjy5Yt8wdVq+aHGqxcCZ984hdf+Ogjv6h8hQo+6U1L88muSJiZ2XTgE6Cema03s07OuQzgFuBN4DtglnNuWZBxZjd+PBQu7D9cioiEmjl32GFVMaNJkyZu8eLFQYchUSg93de1fO01uPdeuPtusIOMMvzpp5944IEHmDx5Mrt27aJ58+bcfPPNtGrVisKFC/954L59PrF94QV49VVfFQH8SmPNm8N558FZZ0Hp0pF5QAmMmX3unGsSdBzhlt/2dedOqFoVWrTwRUNERHIrt+2rkllJGHv3+k7VqVP9152PPeYnih3Mr7/+yoQJExg7diw//fQTlSpVol27dlx99dWcdNJJWPZM2DlYvtxnym+/7ZfL3bXLZ8uNG/vKCKef7reaNQ+eRUvMivdk1swuBi4+5phjuqzMRy3mJ5/0o3PmzYOzzw55eCISx5TMihyEczBokJ/Tddxx8PTTcNJJOR+/d+9e3njjDaZMmcKcOXPIyMigZs2aXHbZZbRs2ZKmTZtStGjRv560ezd89pn/13v+fP/7zp3+vfLl4eST4cQTfaLbqBHUrq2BhDEs3pPZ/fLbvp5yCmzfDsuW6XOciOSNklmRQ3j9dejcGX75xS+wMGCAX2LzUH777TdeeeUVZs+ezTvvvEN6ejqpqamcfvrpNG3alDPPPJMmTZpQ+sChBRkZ8PXX8OmnsHgxLFoE333nhyqA7x4+9lifXdevD/XqwTHH+AoKJUuG538ACRklszn7/HNo0sQvYNKzZ5gCE5G4pWRW5DA2b4bbb/fDDooU8fUvu3b1ueTh7Ny5kwULFvDmm2+yYMECvvrqKzIzfd35OnXq0LhxYxo2bEjDhg2pX78+tWvXJiX7+p27d/uuqiVL/M9vvvFTvg+cRFahgq8wX6sW1KgB1av7rVo1OPJIX1kh+1heiTglsznr3NkX/fjxRyhAMQQRSVAxn8yaWXFgHLAHmOecm3a4c5TMSn4sXw7DhsG0aZCZ6UcAtGkDzZr5IQi5yRW3bNnCZ599xuLFi1m0aBFLlixhzZo1f7xfqFAhatasyVFHHUWtWrWoUaMG1apVo2rVqlSuXJnKlStTvnx5ktPTfdWEVav8pLLVq/3qZGvW+AUd0tP/emMzKFcOKlf2XcsVKvitXDk/pKFsWb+VKeMno5Uu7bOKIkX0nW+IxHsym98xs7//7j9vXXedL40nIpJXUZnMmtkU4CJgo3PuH9n2twQeA5KAyc65B83seuB359yrZjbTOdf2cNdXMisF8eOPfgXb557zowEAihWD44//cwRAzZq+U7RKFZ8vliiRc064fft2vv32W1asWMGKFStYuXIlP/zwA2vWrOGXX3752/FmRpkyZShfvjxlypShbNmylC5dmlKlSlGqVClKlihBBTMq7dlDmV27KLVzJyW2bqXYtm2k/v47KVu2kLx5M0m//UahwxW4L1zYJ7UlSsARR/z5s3jxP7dixfxWtOifW2rqn1uRIn9uKSl//kxJ8dff/3P/lpzstzhLouM9md0vr+3r6NF+CM/nn/sPiCIieRWtyWxTYDvw9P5k1sySgBXA/+FXsVkEXAO0Bl53zn1lZs8556493PWVzEqobNwIH3wACxbA0qV+JMDGjX8/rnBhP6z1iCP8tj/fy57XJSX5HC4pya/FkJQEzqWze/dP7Ny5nt27f2H37l/YtesXdu/+ld27N7Fnz2bS038jPX0ze/ZsZc+eLWRm7s11/ElA2aytnCVR1pIpY4UobYUoY0ZJjFJACeAIHCWcoxiO4s5R3GWSSibFXCZF3T5CPTUtA2OfGRkUItOMfRRin/l9+/7YZ9l+FiITsn4aDiPTIDPr2EzAZe13tv93yDT743f/3v7fgWzHkO0YgFqvvETdsxvm+nmUzP6dc9Cggf+M9NlnYQ5MROJWbtvX5EgEs59zboGZ1Tpg9ynAKufc9wBmNgOfyK7HL8n4FYdY3MHMugJdAWrUqBH6oCUhVawIV1zht/02b4b16/23/b/8Ar/+6retW/1CYNu3+6Gwu3b5betW2LPHz/PKyPBbZqZ/7VwRMjNrkZlZ649ldp37cwPfgbm/49PvT8e5bWRmbsO5HTi3E9iBc7twbhewG+d2Z/1MZwfpbHfp/Je9WefuBfzm3D4gI+v1PlzWT2wfvv5+pn/t9lGYfRRlL0VcBqnsoygZFGEfqeyjCJlZ2z6ScaQ4/3thHClkkgwUJpPCOJJxFHaZJAHJzlEYR5KDpKz3koBkHIXwx/jNUegvP8GyXmf/3bJ+L/THzz/f37/vr9vfzyHr568//R6q/4wS1vr1/r///v2DjkREEkFEk9kcVAXWZXu9HjgVGA2MNbMLgVdzOtk5NxGYCL7nIIxxSoIrU8ZvDXPfaRdiRbK28kEFIJIr1av7od5ROiVDROJMNCSzBxtA55xzO4AbIx2MiIj8KdsEsDydlxwN/7qISELI8ev7CFoPVM/2uhrwY14uYGYXm9nELYeb9CIiInninHvVOde1lGpriUiUioZkdhFQx8yOMrMU4GrglbxcQI2tiIiISGKKaDJrZtOBT4B6ZrbezDo5P9vkFuBN4DtglnNuWSTjEhEREZHYFOlqBtfksP814LVIxiIiIiIisS8ahhkUmMbMioiEh9pXEYl2cZHMasysiEh4qH0VkWgXF8msiIiIiCQmJbMiIiIiErPiIpnVmC4RERGRxBQXyazGdImIiIgkprhIZkVEREQkMSmZFRGRHGkYl4hEO3POBR1DyJjZJmBt0HHkQnngf0EHEQF6zviSCM+Zn2es6ZyrEI5goona16iSCM8Ies54E7b2Na6S2VhhZoudc02CjiPc9JzxJRGeMxGeMd4lwt8wEZ4R9JzxJpzPqWEGIiIiIhKzlMyKiIiISMxSMhuMiUEHECF6zviSCM+ZCM8Y7xLhb5gIzwh6zngTtufUmFkRERERiVnqmRURERGRmKVkVkRERERilpJZEREREYlZSmZFREREJGYpmY0CZlbbzJ4ws9lBxxIuZnasmY03s9lm1iPoeMLFzJqZ2QdZz9os6HjCxczOynrGyWb2cdDxhIuZHWdms8wszcyuDDoeyZtEaFtB7Wu8Ufuad0pmw8TMppjZRjP75oD9Lc1suZmtMrM7AJxz3zvnOgUTaf7l8Rm/c851B64CYmqlk7w8J+CA7UAqsD7SsRZEHv+eH2T9PecAU4OIN7/y+PdsBYxxzvUAboh4sPI3idC2gtpXta9qX/PEOactDBvQFDgR+CbbviRgNVAbSAGWAMdle3920HGH8xmBS4CPgWuDjj1czwkUynq/EjAt6NjD+ffMen8WUDLo2MP496wIPA48DHwUdOzaEqNtzc9zqn2N7k3ta3jbV/XMholzbgHw2wG7TwFWOd9bsAeYAbSOeHAhktdndM694pz7J3BdZCMtmLw8p3MuM+v9zUCRCIZZYHn9e5pZDWCLc25rZCMtmDz+PTc6524G7gD+F+FQ5SASoW0Fta+ofVX7mgfJBTlZ8qwqsC7b6/XAqWZWDhgGnGBmA51zDwQSXWjk9IzNgMvxDdBrAcQVajk95+VAC6A0MDaIwELsoM+Z9Xsn4MmIRxQeOf09awF3AsXxvQcSnRKhbQW1r2pfY1PY21cls5FlB9nnnHO/At0jHUyY5PSM84B5kQ0lrHJ6zheBFyMdTBgd9DkBnHODIxxLOOX09/wB6BrhWCTvEqFtBbWval9jU9jbVw0ziKz1QPVsr6sBPwYUS7gkwjOCnjPeJMpzxqtE+fvpOeOLnjNElMxG1iKgjpkdZWYpwNXAKwHHFGqJ8Iyg54w3ifKc8SpR/n56zvii5wwRJbNhYmbTgU+Aema23sw6OecygFuAN4HvgFnOuWVBxlkQifCMoOdEzylRJFH+fnpOPWcsCuo5LatsgoiIiIhIzFHPrIiIiIjELCWzIiIiIhKzlMyKiIiISMxSMisiIiIiMUvJrIiIiIjELCWzIiIiIhKzlMxKIMxsn5l9lW2rlYdza5nZN+GLrmDMrIqZzcn6vdn+37O9/5SZXXmI80eY2bnhjlNE4o/aVrWtiSg56AAkYe1yzjXO6U0zS84qtByLbgMmFeD8MVnnvxeacEQkgahtzZna1jilnlmJGmbWwcyeN7NXgbey9vUzs0Vm9rWZ3XuQc2qb2ZdmdrKZfWZmDbK9N8/MTjKz4mY2Jes6X5pZ62z3e9HM3jCzlWb2ULZzW5rZF2a2xMzezdp3ipl9nHWNj82sXg6PcgXwRi6et0m23pOlZuYAnHNrgXJmVjn3/+uJiByc2la1rfFOPbMSlKJm9lXW72ucc5dl/X46cLxz7jczaw7UAU4BDHjFzJoC/wXIavBmADc6574ysxnAVcBgM6sCHOmc+9zM7gfec851NLPSwEIzeyfrfo2BE4B0YLmZjQF24z+9N3XOrTGzslnH/idrX4aZnQ/cj29c/2BmRwGbnXPp2Xafle1ZAWoAc5xzi7Puj5k9zF8b6S+AM4AXcv2/qIiI2la1rQlIyawEJaevwt52zv2W9XvzrO3LrNdH4Bvg/wIVgH8DV2Rb43kW8DYwGN/wPp/tOpeYWd+s16n4Rg/gXefcFgAz+xaoCZQBFjjn1gBki6cUMNXM6gAOKHyQ+KsAmw7Y94Fz7qL9L8zsqexvmtlVwIlZce63ETjyINcXETkUta1/vlbbmiCUzEq02ZHtdwMecM5NyH6A+QkNW4B1+E/YywCccxvM7FczOx5oC3TLdp0rnHPLD7jOqfheg/324f8/YfgG9UBDgPedc5dlxTDvIMfswjfouZL11d29+F6JfdneSs26lohIKKht9dS2xiGNmZVo9ibQ0cyOADCzqmZWMeu9PcClwA1mdm22c2YA/YFSzrml2a7T08ws6zonHOa+nwBnZ32tRbavwkoBG7J+75DDuSuAWod/NDCzUlnx3uCcO7DHoS4QtbOKRSSmqW2VuKJkVqKWc+4t4DngEzNbCswGSmR7fwdwEXDr/okHWcdcjf9abL8h+K+tvjZfdmbIYe67CegKvGhmS4CZWW89BDxgZh8BSTmcuwNYbWbH5OIRL8V/9TZp/2QFADMrDBwDLM7FNURE8kRtq9rWeGPOHazHX0Tyy8wuA05yzt1VgPNPdM7dHdrIRERil9pWyYnGzIqEmHPuJTMrV4BLJAOPhCoeEZF4oLZVcqKeWRERERGJWRozKyIiIiIxS8msiIiIiMQsJbMiIiIiErOUzIqIiIhIzFIyKyIiIiIx6/8B8ws6PSOwT4EAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "### CPE element v odvisnosti od frekvence\n", "eksponent=np.linspace(0,9,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "C=1e-5\n", "R=1\n", "\n", "def ZCPE(a):\n", " return 1/(1j*omega*C)**a+R\n", "\n", "def YCPE(a):\n", " return 1/ZCPE(a)\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 2,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Impedanca) / $\\Omega$') \n", "plt.loglog(freq,abs(ZCPE(1)), color='b',label='1')\n", "plt.loglog(freq,abs(ZCPE(0.7)), color='k',label='0.7')\n", "plt.loglog(freq,abs(ZCPE(1/2)), color='r',label='0.5')\n", "plt.loglog(freq,abs(ZCPE(0)), color='g',label='0')\n", "plt.legend()\n", "\n", "plt.subplots_adjust(right=1)\n", "plt.subplot(1,2,2)\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Admitanca) / S')\n", "plt.loglog(freq,abs(YCPE(1)), color='b')\n", "plt.loglog(freq,abs(YCPE(0.7)), color='k')\n", "plt.loglog(freq,abs(YCPE(1/2)), color='r')\n", "plt.loglog(freq,abs(YCPE(0)), color='g')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Abslutna vrednost nadomestne impedance se v log-log merilu linearno manjša, saj je $\\log (Z_{CPE}) = \\log{(\\omega C)^{-\\alpha}} = -\\alpha \\log(\\omega C)= -\\alpha (\\log\\omega + \\log C)$. Ko pade vrednost pod vrednost upornosti, določa vrednost impedance upor. \n", "\n", "Zanimivo je pogledati še potek impedance v kompleksni ravnini." ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABYwAAAF7CAYAAABxd89pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzs3XmcjeX/x/HXxdBkXxPGFipLsowtJTszMfa9IltEKPVV6SuSfkokCVG+WizZ9yFlqUgoS7IvyUglW2Qf1++PexoTY58515k57+fjcR4z5z73zLwnGmfe57o/l7HWIiIiIiIiIiIiIiKSwnUAEREREREREREREfEPKoxFREREREREREREBFBhLCIiIiIiIiIiIiIxVBiLiIiIiIiIiIiICKDCWERERERERERERERiqDAWEREREREREREREcDPCmNjzHPGGGuMyRZz3xhjhhtjdhpjNhpjSsc5t40xZkfMrY271CIiIiIiIiIiIiLJQ5DrAP8wxuQBagK/xDkcBhSOuZUHRgHljTFZgFeAUMAC3xtj5lhrj/g2tYiIiIiIiIiIiEjy4U8rjN8G/oNXAP+jPvCx9awCMhljcgK1gcXW2sMxJfFioI7PE4uIiIiIiIiIiIgkI35RGBtjIoD91toNlzyUG9gX535UzLErHRcRERERERERERGRm+SzkRTGmC+AO+N5qA/wElArvg+L55i9yvH4vm4noBNA2rRpy9x7773XlfdWbdvmvb3nHp98ORERfv75Zw4dOkS+fPnIli2b6zgiIlf1/fff/2mtze46hyS+bNmy2fz587uOISIiIhLQbuT5t88KY2ttjfiOG2PuAwoAG4wxACHAD8aYcngrh/PEOT0E+DXmeJVLji+7wtcdA4wBCA0NtWvXrr2Vb+O6VanivV0WbyoRkYTVv39/+vXrR9++fenfv7/rOCIi12SM2es6g/hG/vz58dVzcBERERGJ3408/3Y+ksJa+6O19g5rbX5rbX68Mri0tfY3YA7wuPFUAI5Zaw8Ai4BaxpjMxpjMeKuTF7n6HkREXPrf//5Hv379aNu2Lf369XMdR0RERERERESSMJ+tML5JC4BwYCdwEngCwFp72BgzAFgTc96r1trDbiKKiLjz+eef06lTJ2rWrMmYMWOIuVJDREREREREROSm+F1hHLPK+J/3LdD1CueNA8b5KJaIiN9Zv349jRs3plixYkybNo1UqVK5jiQiIiIiIiIiSZzfFcYiInJtv/zyC+Hh4WTKlIn58+eTIUMG15FEJAGdO3eOqKgoTp8+7TrKLQsODiYkJEQvaomIiIiIJBEqjEVEkpijR48SHh7OyZMn+eabb8idO7frSCKSwKKiokifPj358+dP0qNmrLUcOnSIqKgoChQo4DqOiIiIiIhcB+eb3omIyPU7c+YMDRs2ZPv27cycOZPixYu7jiQiieD06dNkzZo1SZfFAMYYsmbNmixWSouIiIiIBAqtMBYRSSIuXLhAu3btWLZsGZ9++ilVq1Z1HUlEElFSL4v/kVy+DxERERGRQKEVxiIiSUSfPn2YOHEir7/+Oq1bt3YdR0SSuXbt2nHHHXfoSgYRERERkQCjwlhEJAkYPXo0gwYN4sknn+SFF15wHUdEAkDbtm1ZuHCh6xgiIiIiIuJjKoxFRPzc3Llz6dq1K3Xr1mXEiBG6vFtEfKJy5cpkyZLFdQzxMWNMHWPMNmPMTmPMZa9QGmPaGmMOGmPWx9w6uMgpIiIiIolHM4xFRPzYmjVraNGiBaVLl2by5MkEBenHtkig6dkT1q9P2M9ZsiQMG5awn1OSPmNMSuA9oCYQBawxxsyx1m6+5NTPrLXdfB5QRERERHxCK4xFRPzU7t27qVu3Ljly5GDevHmkTZvWdSQREUneygE7rbW7rbVngclAfceZREQS1LFjcPw4WOs6iYiI/9JSNRERP3To0CHCwsI4f/48kZGR5MiRw3UkEXFEK4HFh3ID++LcjwLKx3NeY2NMZWA78Iy1dt+lJxhjOgGdAPLmzZsIUUVErsxaiIqCLVu829atF9//4w/vnBQpIFOmi7eMGf99/9LbpY+nT+99DhGR5EiFsYiInzl16hQRERHs3buXL7/8knvuucd1JBERCQzxDcm/dA3eXGCStfaMMaYz8BFQ7bIPsnYMMAYgNDRU6/hEJFGcPw+7dl0sg+MWxCdOXDwvc2YoUgTq1YN77vGK3qNHL7/t2OGtQD561FuFfDXGXF4iX6t0jntOhgyQMmXi/vcREblZKoxFRPxIdHQ0jz76KN9++y1TpkyhUqVKriOJSIBq2bIly5Yt488//yQkJIT+/fvTvn1717EkcUUBeeLcDwF+jXuCtfZQnLtjgTd8kEtEAtzJk7Bt2+XF8I4dcO7cxfNy5/aK4See8N7+c7vjDq/gvRHnz8Nff8VfLB89erFYjnvbs+fi+3/9de2vkSHDtVcyX6l0zpgRtL2JiCQW/XgREfEjvXr1YsaMGQwdOpQmTZq4jiMiAWzSpEmuI4jvrQEKG2MKAPuBFkCruCcYY3Jaaw/E3I0Atvg2oogkZ4cPX14Kb9kCe/denDmcIgUULHhxxfA/pfC993oFbEIJCoIsWbzbzYiO9krj+IrlK5XPv/zy72PXmrOcLt3Vi+WyZaFaNe88EZEbocJYRMRPvP3227zzzjv06NGDZ555xnUcEREJMNba88aYbsAiICUwzlr7kzHmVWCttXYO0N0YEwGcBw4DbZ0FFpEkyVrYvz/+Yvif+cIAwcHe+IgKFf69YrhwYbjtNnf5r1fKlN4ojMyZb+7jL1zwxmJca1Vz3Nv+/bB588X7Fy5A6tRQuTKEh0NYmPff9EZXW4tI4FFhLCLiB6ZNm0avXr1o1KgRQ4YMcR1HREQClLV2AbDgkmN947z/IvCir3OJSNJz/jzs3h3/fOG484EzZfKK4Lp1/z1GIl++wJ7xmyLFxdET+fLd+MefPQvffAMLFkBkJDz7rHcrUMArjsPDoWpVSJMm4bOLSNKnwlhExLEVK1bw6KOPUrFiRT799FNSBvIzYxERERFJUk6ehO3b458vfPbsxfP+mS/ctu3FERJFikCOHFrxmhhSp/bGUVSrBm+95Y31iIz0CuTx42HkSG+ldpUqFwvkwoVdpxYRf6HCWETEoW3bthEREUHevHmZPXs2t99+u+tIIiIiIiKXudH5wnFXDCf0fGG5cfnyQefO3u3MGfjqq4sFcs+e3q1gwYvlcZUqoF9NRAKXCmMREUd+//13wsLCSJkyJZGRkWTLls11JBEREREJYIEyXzjQ3XYb1Kzp3YYO9UaHREZ6tw8/hBEjvD/jqlUvFsgFC7pOLSK+pMJYRMSBv//+m7p16/Lbb7+xbNkyCuoZmIiIiIg4snMnjBsHH30Ev/568bjmCweGu+6Crl292+nTsHz5xdXH3bt7t8KFL26c9/DDXqEsIsmXCmMRER87f/48zZs354cffmDWrFmUK1fOdSQRkXgtXLiQHj16EB0dTYcOHXjhhRf+9fgzzzzD0qVLATh58iR//PEHR48edRFVRERu0KlTMGOGt6J06VJvnER4OPTpc7EY1nzhwBMcDLVre7dhw7wXE/5Zffz++/DOO96oimrVLhbIBQq4Ti0iCU2FsYiID1lr6datG/Pnz2fkyJHUq1fPdSQRkXhFR0fTtWtXFi9eTEhICGXLliUiIoKiRYvGnvP222/Hvv/uu++ybt06F1FFROQGrF/vlcSffgpHj3qrSwcOhDZtvI3pROIqVAieftq7nToFy5Z5K48XLID5871z7r334uiKhx7SWBKR5CCF6wAiIoFk0KBBvP/++/Tu3ZsuXbq4jiMickWrV6+mUKFC3HXXXaROnZoWLVowe/bsK54/adIkWrZs6cOEIiJyvY4dg9GjITQUSpWCsWO9cm/JEtixA156SWWxXNvtt3vF8LvveiuPt23zViHnzQsjR3ozkbNmhYgI7+/b3r2uE4vIzdIKYxERH5kwYQIvvfQSLVu25PXXX3cdR0SSiJ49e7J+/foE/ZwlS5Zk2LBhVz1n//795MmTJ/Z+SEgI3333Xbzn7t27lz179lCtWrUEzSkiIjfPWvjmG/jgA5g61VsdWqKEV/a1agVZsrhOKEmZMXD33d6tRw/4+29vtMk/s4/nzvXOK1r04urjBx+E1Knd5haR66PCWETEB5YsWcITTzxBlSpV+N///keKFLrAQ0T8m7X2smPmCoMsJ0+eTJMmTUipHZBERJz7/Xdv87oPP4Tt2yFDBm/cRPv2UKaMZhJL4kib1tscsW5d78WKbdsulsfvvgtDhkC6dFCjhlcgh4VBnNelRcTPqDAWEUlkmzZtomHDhhQuXJiZM2dym4Z6icgNuNZK4MQSEhLCvn37Yu9HRUWRK1eueM+dPHky7733nq+iiYjIJc6fh0WLvNXE8+Z59x96yBs10aSJV+aJ+Iox3lzje++FZ56BEye88Sf/FMizZnnnFS9+cfVxpUqQKpXb3CJykQpjEZFEtH//fsLCwkibNi2RkZFkypTJdSQRketStmxZduzYwZ49e8idOzeTJ09m4sSJl523bds2jhw5QsWKFR2kFBEJbLt3w7hxMH487N8Pd9zhFXTt2nllnYg/SJfOm2scEeGtPt6yxSuOIyO9GciDB0P69N4M5H9WH2umtohbKoxFRBLJX3/9RXh4OEePHuXrr78mb968riOJiFy3oKAgRowYQe3atYmOjqZdu3YUK1aMvn37EhoaSkREBOBtdteiRYsrjqsQEZGEdfo0zJzpjZz48ktIkQLq1PEu+69bV6s0xb8Z4801LloUnnsOjh/3/h7/UyDPmOGdV6KEt/I4LAwqVtTfaxFfM/HNp0uuQkND7dq1a33ytapU8d4uW+aTLycifubcuXM88sgjLFmyhPnz51O7dm3XkUQkCdmyZQtFihRxHSPBxPf9GGO+t9aGOookPuTL5+AiydnGjV5J/MkncOQI5M/vzSVu2xZCQlynE7l11sKmTV5xHBnpbdp4/jxkzOitPg4P914cyZnTdVKRpOlGnn9rhbGISAKz1tKxY0cWL17MuHHjVBaLiIiIyE356y+YPNmbTbxmDaRODY0aQYcOULWqt7pYJLkwBu67z7v95z/e3/8vvri4+njaNO+8atVg4ECoUMFtXpHkTP+8iIgksH79+vHRRx/xyiuv8MQTT7iOIyIiIiJJiLWwYgU88YS3kvLJJ+HUKW/W66+/wqRJUL26ymJJ/jJk8F4g+eADiIqC9ethwAD48UdvTEX9+t77IpLw9E+MiEgC+vDDD3n11Vd54okneOWVV1zHEREREZEk4o8/4K23vNmuDz7oraZs3Rq++84bR9GjB2TN6jqliBvGwP33w8sve5s9vvYaLF/uHWvdGnbudJ1QJHlRYSwikkAWLlzIk08+Sa1atXj//fe1AZSIiIiIXFV0tHepfZMmkDs3PP88ZMkC48bBgQMwZgyUK+eVZSLiSZcO+vTxiuP//MfbBLJIEejcGfbvd51OJHnwi8LYGDPAGLPRGLPeGPO5MSZXzPEqxphjMcfXG2P6xvmYOsaYbcaYncaYF9ylFxGBdevW0bRpU4oXL87UqVNJpW18RUREROQKfv4ZXnnF27guPNxbKdmjB2zefHEcRbp0rlOK+LcsWWDQINi1yxvdMm4cFCoEzz0Hf/7pOp1I0uYXhTEw2FpbwlpbEpgH9I3z2NfW2pIxt1cBjDEpgfeAMKAo0NIYU9TnqUVEgL179xIeHk7mzJlZsGABGTJkcB1JRERERPzMmTMwZQrUqgV33eXNYi1e3Bs9sX+/N46iSBHXKUWSnpw5YcQI2LYNmjWDoUO9/8f69/c2zhORG+cXhbG1Nu7/wmkBe40PKQfstNbuttaeBSYD9RMrn4jIlRw5coSwsDBOnTpFZGQkuXLlch1JRCTBLFy4kHvuuYdChQoxaNCgyx4fP3482bNnp2TJkpQsWZIPPvjAQUoREf+2aRM884w3cqJ5c6/UeuUVb5VxZCQ0bgypU7tOKZL0FSgAH33kbYRXsyb06+cVx0OHehtHisj184vCGMAYM9AYsw9ozb9XGFc0xmwwxkQaY4rFHMsN7ItzTlTMMRERnzlz5gwNGzZk586dzJw5k2LFil37g0REkojo6Gi6du1KZGQkmzdvZtKkSWzevPmy85o3b8769etZv349HTp0cJBURMT/HD8OH3wAFSrAfffBe+9BtWqwaJE3d/WVVyBvXtcpRZKnYsVg+nRYvRrKlIFevaBwYW8m+LlzrtOJJA0+K4yNMV8YYzbFc6sPYK3tY63NA0wAusV82A9APmvt/cC7wKx/Pl08XyLeVcnGmE7GmLXGmLUHDx5M2G9KRALWhQsXaNu2LcuXL2f8+PFUrVrVdSQRkQS1evVqChUqxF133UXq1Klp0aIFs2fPdh1LRMRvWQvffgsdOniXyHfs6BXHQ4d6Iyf+GUeRMqXrpCKBoWxZ70WapUu9F2iefBKKFoVJk+DCBdfpRPxbkK++kLW2xnWeOhGYD7wSd1SFtXaBMWakMSYb3oriPHE+JgT49QpfdwwwBiA0NPRaoy5ERK7Liy++yOTJk/m///s/WrVq5TqOiCRnPXvC+vUJ+zlLloRhw656yv79+8mT5+LTrZCQEL777rvLzps+fTpfffUVd999N2+//fa/PkZEJBAcPAiffAIffuhtWpc2LbRo4RXH5cuDiW+5k4j4TJUq3maS8+dDnz7QqpW3Wd5rr0Hduvp/VCQ+fjGSwhhTOM7dCGBrzPE7jfH+1zXGlMPLewhYAxQ2xhQwxqQGWgBzfJtaRALVe++9x5tvvkmXLl3o3bu36zgiIonC2stfZzeX/EZVr149fv75ZzZu3EiNGjVo06aNr+KJiDh35gy8+irkyeNd8p4hgzeG4sCBi+MoVESJ+AdjvHJ43TqYOBFOnoSICKhUCZYtc51OxP/4bIXxNQwyxtwDXAD2Ap1jjjcBuhhjzgOngBbW++3lvDGmG7AISAmMs9b+5CC3iASYOXPm0L17d+rVq8fw4cMvK09ERBLcNVYCJ5aQkBD27bu4ZURUVNRlG3tmzZo19v2OHTvqRTQRCRgrVngjJ7Zs8VYTv/yyNzdVRPxbihTQsiU0aQLjx0P//lC1qrdJ3sCB3hgLEfGTFcbW2sbW2uLW2hLW2nrW2v0xx0dYa4tZa++31law1q6M8zELrLV3W2sLWmsHuksvIoHiu+++o0WLFpQpU4ZJkyYRFOQvr7mJiCS8smXLsmPHDvbs2cPZs2eZPHkyERER/zrnwIEDse/PmTOHIkWK+DqmiIhPHTsGTz0FDz4If//tXeI+aZLKYpGkJlUq70WfHTtgyBD44QcoVw4aN/ZGy4gEOr8ojEVE/N2uXbuoV68eOXPmZN68eaRNm9Z1JBGRRBUUFMSIESOoXbs2RYoUoVmzZhQrVoy+ffsyZ443CWz48OEUK1aM+++/n+HDhzN+/Hi3oUVEEtHMmd6GWe+/D888Az/9BOHhrlOJyK24/XZ49lnYvRv69YPFi+G++6BNG9izx3U6EXdMfPPpkqvQ0FC7du1an3ytKlW8t5qFI5L0/fnnnzzwwAMcPnyYlStXcvfdd7uOJCLJ3JYtW5LVat34vh9jzPfW2lBHkcSHfPkcXCQx7N8PTz/tFcb33w9jx+qydZHk6s8/4Y03YMQIiI6GTp28jfJy5nSdTOTW3cjzb60wFhG5ilOnThEREcG+ffuYM2eOymIRERGRAHHhAowa5a0qjoyEQYNgzRqVxSLJWbZsMHgw7NwJ7dp5VxQULAgvvgiHD7tOJ+I7KoxFRK4gOjqa1q1bs2rVKiZMmMADDzzgOpKIiIiI+MDmzVC5sjevuGxZ2LQJevf25p6KSPKXOzeMHu1tbNmokbfq+K67vI3xTpxwnU4k8akwFhGJh7WWZ599lpkzZ/L222/TqFEj15FEREREJJGdOePNMS1Z0iuKxo/3ZpoWLOg6mYi4UKgQfPopbNjgjR59+WXv58Hw4d7PC5HkSoWxiEg83n77bYYPH84zzzxDjx49XMcRERERkUT29ddeUdy/PzRr5hXGbdqAMa6TiYhr990Hs2bBt99CsWLQowfcfTeMGwfnz7tOJ5LwVBiLiFxi6tSp9OrViyZNmvDWW2+5jiMiIiIiiejoUXjySW8ExenT3rziTz+FO+5wnUxE/E2FCrBkCXzxBdx5J7RvD8WLw9Sp3txzkeRChbGISBzffPMNjz32GJUqVeKTTz4hRQr9mBQRERFJjqyF6dO9Te0++AB69fJmFdep4zqZiPi76tVh1SqYOROCgryrEkJDvRecrHWdTuTWqQkREYmxdetWIiIiyJ8/P7NnzyY4ONh1JBERpxYuXMg999xDoUKFGDRokOs4IiIJJioKGjaEJk28VYKrV8Nbb0HatK6TiUhSYQw0aODNN/74Y+9qhfBwePhh+OYb1+lEbo0KYxER4LfffiMsLIxUqVIRGRlJ1qxZXUcSEXEqOjqarl27EhkZyebNm5k0aRKbN292HUtE5JZcuADvveetKv78c3jzTa8sLlPGdTIRSapSpoTHHoOtW2HkSNi5Ex56yCuP161znU7k5qgwFpGAd+LECerWrcsff/zB/PnzKVCggOtIIiLOrV69mkKFCnHXXXeROnVqWrRowezZs13HEhG5aT/9BA8+CN26eXNIN22C55/3LicXEblVqVNDly5eYfzGG97IitKloXlz2LbNdTqRG6N/GkUkoJ0/f57mzZuzbt06Zs+eTWhoqOtIIiL/0nNhT9b/tj5BP2fJO0syrM6wq56zf/9+8uTJE3s/JCSE7777LkFziIj4wunT8PrrMGgQZMjgXTr+6KPe5eQiIgktTRr4z3+8zTSHDIGhQ2HaNGjbFgYO9MbgiPg7rTAWkYBlreWpp55iwYIFjBw5krp167qOJCLiN2w8O7YYtSsiksR89RWULAkDBkCLFrBli3fpuH6ciUhiy5gRXn0Vdu+GHj1gwgQoVQpWrHCdTOTatMJYRALW66+/ztixY3nxxRd58sknXccREYnXtVYCJ5aQkBD27dsXez8qKopcuXI5ySIicqOOHvVW+I0dCwUKwKJFUKuW61QiEojuuMNbZdyuHTRqBFWqePe7ddOLV+K/tMJYRALSJ598wssvv0zr1q0ZOHCg6zgiIn6nbNmy7Nixgz179nD27FkmT55MRESE61giIldlLUydCkWKwLhx3oziH39UWSwi7hUvDmvWeJvhde/uXe3w99+uU4nET4WxiAScL7/8knbt2lG1alXGjRunS6xFROIRFBTEiBEjqF27NkWKFKFZs2YUK1bMdSwRkSvatw/q14dmzSBXLq+YefNNSJvWdTIREU/GjDBzJrz2GkycCBUrepvkifgbjaQQkYDy448/0qhRI+655x5mzJhB6tSpXUcSEfFb4eHhhIeHu44hInJV0dEwciS89BJcuABvveXNCw3Sb7si4odSpIA+fSA0FFq18t5++iloSx3xJ1phLCIBIyoqirCwMNKlS0dkZCSZMmVyHUlEREREbsGPP0KlSt7l3ZUqwaZN0KuXymIR8X+1a8PatXDXXVCvHrzyiveil4g/UGEsIgHh2LFjhIeH89dff7FgwQLy5MnjOpKIiIiI3KTTp+Hll6F0adi1y1udFxnpbXAnIpJUFCgAK1ZA27bw6qveKuPDh12nElFhLCIB4OzZszRu3JgtW7Ywffp07r//fteRREREROQmLVsGJUrAwIHQujVs3eq91bYUIpIU3X67t0nnqFHwxRfeiIr1612nkkCnwlhEkjVrLR07duTLL79k7Nix1KxZ03UkEZHrYq11HSFBJJfvQ0TcO3wYOnSAqlW9ucWLF8P48ZA1q+tkIiK3xhjo3Bm++grOnvU2w/vkE9epJJCpMBaRZK1v3758/PHH9O/fn7Zt27qOIyJyXYKDgzl06FCSL1uttRw6dIjg4GDXUUQkCbMWPvsMihTxCuLevb3ZxTVquE4mIpKwKlSA77+H8uXh8cehWzevQBbxNW0FICLJ1tixY3nttddo3749//3vf13HERG5biEhIURFRXHw4EHXUW5ZcHAwISEhrmOISBL1yy/w1FMwf753mfaiRVCypOtUIiKJJ0cObzRF794wdCisWwdTp0KuXK6TSSBRYSwiyVJkZCRdunShdu3ajBo1CqOhdiKShKRKlYoC2rlJRAJYdDSMGAF9+ngrjIcOhaefhiD9BisiASAoCIYMgXLloH17b4PPKVOgcmXXySRQaCSFiCQ733//PU2bNqVEiRJMnTqVVKlSuY4kIiKSJBhj6hhjthljdhpjXrjKeU2MMdYYE+rLfBIYDhyABx+Enj3hoYfgp5/gmWdUFotI4GneHL77DjJkgGrVYNgw70U0kcSmwlhEkpWff/6ZRx55hKxZszJ//nzSp0/vOpKIiEiSYIxJCbwHhAFFgZbGmKLxnJce6A5859uEEgh27IAHHvBmFE+YAAsWQP78rlOJiLhTrBisWQN163ovnrVuDX//7TqVJHcqjEUk2Th8+DBhYWGcOXOGyMhIcubM6TqSiIhIUlIO2Gmt3W2tPQtMBurHc94A4E3gtC/DSfL3/fdQqRKcOAHLlkGrVqCpYiIikDEjzJgBAwfC5Mne5ng7drhOJcmZCmMRSRZOnz5NgwYN2L17N7NmzaJo0csWRImIiMjV5Qb2xbkfFXMsljGmFJDHWjvPl8Ek+fviC6hSBdKkgRUrvA3uRETkohQp4KWXYOFC+PVXKFsW5s51nUqSKxXGIpLkXbhwgTZt2vD111/z0Ucf8fDDD7uOJCIikhTFt5YzdlKiMSYF8DbQ65qfyJhOxpi1xpi1Bw8eTMCIkhxNmQLh4VCgAKxcCXff7TqRiIj/qlXLuyKjYEGIiID//tfbKFQkIakwFpEkr3fv3kyZMoU33niDFi1auI4jIiKSVEUBeeLcDwF+jXM/PVAcWGaM+RmoAMyJb+M7a+0Ya22otTY0e/bsiRhZkrr33oMWLaB8efjqK8iVy3UiERH/lz8/fPMNPPEEvPaaN9/48GHXqSQ5UWEsIknaiBEjeOutt3jqqafo6eskAAAgAElEQVR4/vnnXccRERFJytYAhY0xBYwxqYEWwJx/HrTWHrPWZrPW5rfW5gdWARHW2rVu4kpSZi307QvdukG9evD555Apk+tUIiJJx+23w4cfwvvvw5IlUKYMrFvnOpUkFyqMRSTJmjVrFt27dyciIoLhw4djtCuKiIjITbPWnge6AYuALcAUa+1PxphXjTERbtNJchIdDZ07w4AB0K4dTJ/uFR8iInJjjIFOneDrr+H8eXjgAfjoI9epJDnwi8LYGDPAGLPRGLPeGPO5MSZXzHFjjBlujNkZ83jpOB/TxhizI+bWxl16EXFh1apVtGzZkrJlyzJp0iRSpkzpOpKIiEiSZ61dYK2921pb0Fo7MOZYX2vtnHjOraLVxXKjTp+GZs1gzBh48UX44AMICnKdSkQkaStXzptrXLEitG0LTz0FZ8+6TiVJmV8UxsBga20Ja21JYB7QN+Z4GFA45tYJGAVgjMkCvAKUB8oBrxhjMvs8tYg4sXPnTurVq0euXLmYO3cuadKkcR1JRERERK7h2DEIC4MZM2DYMHj9dW91nIiI3Lo77vDG+zz/PIwaBQ8/DPv3u04lSZVfFMbW2r/i3E3Lxd2Y6wMfW88qIJMxJidQG1hsrT1srT0CLAbq+DS0iDhx8OBB6tSpg7WWhQsXcscdd7iOJCIiIiLX8NtvXnnxzTcwYQL06OE6kYhI8hMUBG++CVOnwqZNULo0LF/uOpUkRX5RGAMYYwYaY/YBrbm4wjg3sC/OaVExx650PL7P28kYs9YYs/bgwYMJH1xEfObkyZPUq1eP/fv3M3fuXAoXLuw6koiIiIhcw65dUKkS7NwJ8+ZBq1auE4mIJG9NmsDq1ZA5M1SvDkOHepuNilwvnxXGxpgvjDGb4rnVB7DW9rHW5gEm4G22ARDfBUr2KscvP2jtGGttqLU2NHv27AnxrYiIA9HR0bRq1YrVq1czceJEKlas6DqSiIiIiFzDunXeJkzHjsGSJVC7tutEIiKBoUgRrzSOiIBevaBlSzhxwnUqSSp8Vhhba2tYa4vHc5t9yakTgcYx70cBeeI8FgL8epXjIpIMWWvp2bMns2fPZtiwYTRs2NB1JBERERG5hqVLvTEUwcHeKIpy5VwnEhEJLBkywPTpMGiQN6aiQgXYvt11KkkK/GIkhTEm7nXlEcDWmPfnAI8bTwXgmLX2ALAIqGWMyRyz2V2tmGMikgwNGTKEESNG8Oyzz9K9e3fXcURERETkGqZNgzp1IG9eWLEC7r3XdSIRkcBkDPTuDYsWefPky5aF2Zcu3RS5hF8UxsCgmPEUG/HK33+2QFgA7AZ2AmOBpwCstYeBAcCamNurMcdEJJn57LPPeP7552natCmDBw92HUdERERErmH0aGjWDEJD4auvICTEdSIREalRA374Ae6+Gxo0gD59IDradSrxV0GuAwBYaxtf4bgFul7hsXHAuMTMJSJuffXVVzz++OM8+OCDfPzxx6RI4S+vcYmIiIjIpayFV1+Ffv2gbl347DNIk8Z1KhER+UfevPD11/D00/D667B2LUycCFmzuk4m/kbti4j4pS1btlC/fn0KFCjA7NmzCQ4Odh1JRERERK4gOhq6dvXK4jZtYMYMlcUiIv4oOBjGjoUxY2DZMihTBnbvdp1K/I0KYxHxOwcOHCAsLIzbbruNyMhIsmTJ4jqSiIiIiFzBmTPQogWMGgX/+Q/873+QKpXrVCIicjUdO3qrjY8fh5o14cAB14nEn6gwFhG/cvz4cR555BH+/PNP5s+fT4ECBVxHEhEREZEr+OsvCA/3NrkbMgTeeMPbYElERPxfuXKwYAH8/jvUrg1HjrhOJP5ChbGI+I1z587RrFkzNm7cyJQpUyhTpozrSCIiIiJyBb//DlWqeBvbffwxPPus60QiInKjypeHmTNh61Zv/vzff7tOJP5AhbGI+AVrLV26dGHhwoWMGjWK8PBw15FERERE5Ap274ZKlbyCYc4ceOwx14lERORm1azpbX63ahU0aQJnz7pOJK6pMBYRv/Daa6/x4Ycf0qdPHzp27Og6joiIiIhcwfr1Xll85AgsWQJhYa4TiYjIrWrSBEaPhoULvc1LL1xwnUhcCnIdQETko48+om/fvjz22GMMGDDAdRwRERERuYJly6B+fciQwSuLixRxnUhERBJKx45w+DC88AJkyQIjRmgufaBSYSwiTi1evJgOHTpQvXp1PvjgA4z+NRIRERHxSzNmQKtWcNddsGgR5MnjOpGIiCS03r3h0CEYPBiyZoVXX3WdSFxQYSwizmzYsIHGjRtTpEgRpk+fTurUqV1HEhEREZF4jBkDXbpAuXIwb55XIoiISPL0xhveSuMBA7yf9z16uE4kvqbCWESc2LdvH+Hh4WTIkIEFCxaQMWNG15FERERE5BLWwmuvQd++3qziqVMhbVrXqUREJDEZ480zPnIEevaEzJnh8cddpxJf0qZ3IuJzx44dIzw8nBMnTrBgwQJCQkJcRxIRERGRS1y4AE8/7ZXFjz0Gs2erLBYRCRRBQTBxIlSvDu3awZw5rhOJL6kwFhGfOnv2LA0bNmTr1q1Mnz6dEiVKuI4kIiIiIpc4c8abV/zee9CrF4wfD6lSuU4lIiK+dNttMHMmlC4NzZrB8uWuE4mvqDAWEZ+x1tK+fXuWLl3Khx9+SI0aNVxHEhEREZFLHD8OdevCZ5/Bm2/CW29BCv3mKCISkNKnh8hIb8PTevXghx9cJxJf0D/7IuIzL7/8Mp9++ikDBgzgcQ1AEhEREfE7f/wBVavC0qXequLnn3edSEREXMuaFT7/3JtlXKcObN/uOpEkNhXGIuITY8aM4fXXX6dDhw706dPHdRwRERERucTff0Pt2rB5M8yaBW3auE4kIiL+IiQEFi/23q9ZE/btc5tHEpcKYxFJdPPnz6dLly6EhYUxatQojDGuI4mIiIhIHNbCE0/Ahg0wbZo3kkJERCSuu++GRYvg6FGoVQv+/NN1IkksKoxFJFGtXbuWZs2aUbJkSaZMmUJQUJDrSCIiIiJyiYEDYepUeOMNCA93nUZERPxVqVIwdy78/DOEhXlz7yX5UWEsIolmz549PPLII2TPnp358+eTLl0615FERERE5BKzZ8N//wuPPgrPPec6jYiI+LvKlWHKFFi3Dho0gNOnXSeShKbCWEQSxaFDhwgLC+PcuXNERkZy5513uo4kIiIiIpfYtMkrikNDYcwY0OQwERG5HvXqeZujLlkCrVrB+fOuE0lCUmEsIgnu9OnT1K9fnz179jB79myKFCniOpKIiIiIXOLQIYiIgHTpvE3ubr/ddSIREUlKHn0U3nkHZs6EJ5/05uFL8qBhoiKSoC5cuMDjjz/OihUrmDx5Mg899JDrSCIiIiJyiXPnoFkz2L8fli+H3LldJxIRkaSoe3fvBchXX4UsWeDNN3W1SnKgwlhEEtTzzz/P1KlTGTx4MM2bN3cdR0RERETi0auXdxnx+PFQoYLrNCIikpT16weHD8Nbb0HWrPDCC64Tya1SYSwiCWb48OEMHTqUbt260atXL9dxRERERCQeH34I774LzzwDbdq4TiMiIkmdMd5oisOH4cUXvZXGnTq5TiW3QoWxiCSIGTNm0LNnTxo0aMCwYcMwugZFRERExO+sWAFdukDNmt5lwyIiIgkhRQrvqpWjR6FzZ8icGZo2dZ1KbpY2vRORW7Zy5Upat25N+fLlmTBhAilTpnQdSUREREQusW8fNGoE+fLBZ59BkJYPiYhIAkqVCqZOhUqVoHVr+Pxz14nkZqkwFpFbsn37diIiIggJCWHOnDmkSZPGdSQRERERucTJk9CgAZw6BXPmeCu/REREElqaNDB3LhQtCg0bwqpVrhPJzVBhLCI37Y8//iAsLAxjDJGRkWTPnt11JBERERG5hLXQvj2sWwcTJ0KRIq4TiYhIcpYpEyxcCDlzQng4bNrkOpHcKBXGInJT/v77b+rVq8eBAweYO3cuhQoVch1JREREROLxxhsweTIMHAh167pOIyIigeDOO2HxYrj9dqhVC/bscZ1IboQKYxG5YdHR0bRq1Yo1a9YwceJEKlSo4DqSiIiIiMRj3jx46SVo0QJeeMF1GhERCSQFCsCiRXD6tLfZ6m+/uU4k10uFsYjcEGst3bt3Z86cOQwfPpwGDRq4jiQiIiIi8diyBVq1glKl4MMPwRjXiUREJNAULw4LFnhlcZ06cPSo60RyPVQYi8gNGTx4MCNHjuS5556jW7duruOIiIiISDyOHIGICG/zoVmzvLciIiIuVKgAM2fC5s3eaKSTJ10nkmtRYSwi123SpEn07t2b5s2b88Ybb7iOIyIiIiLxOH8emjeHvXth+nTIk8d1IhERCXQ1a8KECbBypXf1i7WuE8nV+EVhbIwZbIzZaozZaIyZaYzJFHM8vzHmlDFmfcxtdJyPKWOM+dEYs9MYM9wYXWAlkpiWL19O27ZtqVy5MuPHjydFCr/48SEiIiIil/jPf7yNhkaNgkqVXKcRERHxNG0KQ4fC7NkwevS1zxd3/KXxWQwUt9aWALYDL8Z5bJe1tmTMrXOc46OATkDhmFsdn6UVCTCbN2+mQYMGFCxYkJkzZxIcHOw6koiIiIjE46OP4O234emnoX1712lERET+rUcPb5Zxr16wdavrNHIlflEYW2s/t9aej7m7Cgi52vnGmJxABmvtt9ZaC3wMaOctkUTw66+/EhYWRnBwMJGRkWTJksV1JBERERGJx6pV0KkTVKsGQ4a4TiMiInI5Y2DcOG+2fuvWcPas60QSH78ojC/RDoiMc7+AMWadMWa5MeahmGO5gag450TFHLuMMaaTMWatMWbtwYMHEyexSDJ1/PhxHnnkEQ4dOsT8+fPJly+f60giIiIiEo/9+6FhQwgJgSlTIFUq14lERETilzMnjB0LP/wA/fu7TiPx8VlhbIz5whizKZ5b/Tjn9AHOAxNiDh0A8lprSwHPAhONMRmA+OYVxzsu21o7xlobaq0NzZ49e8J+UyLJ2Llz52jatCk//vgj06ZNo3Tp0q4jiYiIiEg8Tp3yyuITJ7y5kFmzuk4kIiJydQ0bQrt28H//B19/7TqNXCrIV1/IWlvjao8bY9oAdYHqMWMmsNaeAc7EvP+9MWYXcDfeiuK4YytCgF8TI7dIILLW0rlzZxYtWsQHH3xAnToaES4iIiLij6z1xlCsWQOzZkHx4q4TiYiIXJ9hw2DZMnjsMdiwATJmdJ1I/uEXIymMMXWA3kCEtfZknOPZjTEpY96/C29zu93W2gPAcWNMBWOMAR4HZjuILpIsDRgwgHHjxvHf//6X9totRURERMRvDRkCn34KAwZA/frXPl9ERMRfpE/v/Ru2bx907+46jcTlF4UxMAJIDyw2xqw3xoyOOV4Z2GiM2QBMAzpbaw/HPNYF+ADYCezi33OPReQmjR8/nldeeYU2bdrQX8OERERERPzWwoXQuzc0bQp9+rhOIyIicuMqVoSXX4aPP/Zm8It/8NlIiqux1ha6wvHpwPQrPLYW0AVXIgno888/p2PHjtSoUYMxY8bgLeAXEREREX+zbRu0aAElSsD//uftOi8iIpIUvfyy9yJo585QqRLkzu06kfhFYSwi7m3YsIEmTZpQtGhRpk+fTurUqV1HEhEREZF4HD3qjZ9IndqbW5w2retEIknLuXPnOHLkCEeOHOHw4cOxb48fP06qVKlInTo1t91222W3Kx3/57GgoCAtuhG5CalSeaMpSpaEtm1h0SJI4S8zEQKUCmMRYd++fYSHh5MxY0YWLFhAhgwZXEcSERERB2L2FnkHSAl8YK0ddMnjnYGuQDRwAuhkrd3s86ABLDoaWraEXbtgyRLIl891IhE3rLUcP348tuyNW/xe7diRI0c4fvx4omQyxlx3yZw6dWrSpk1LSEgI+fLlI3/+/OTLl498+fKRUTt/SQAqXNjbBK9TJxg+HHr2dJ0osKkwFglwR48eJSwsjBMnTvDNN9+QW9d+iIiIBKSYzabfA2oCUcAaY8ycSwrhidba0THnRwBDgTo+DxvAXnzRu2x39Gh46CHXaUQS3qlTp9i2bRubN29m+/btHDp06IoFcHR09BU/z2233UaWLFnIkiULmTNnJm/evNx///2x9+M+9s/b9OnTc/78ec6cORPv7ezZs1d87FqPx33s2LFjnDlzhhMnTjB79mxOnz79r+wZM2b8V4F8aaGcLVs2rWSWZKlDB5g3D154AapXh/vuc50ocKkwFglgZ86coVGjRmzfvp2FCxdyn34ai4iIBLJywE5r7W4AY8xkoD4QWxhba/+Kc35awPo0YYCbOBEGD4YuXeDJJ12nEbk1J06cYOvWrWzevPlft927d2Ot96PFGEOmTJn+Vezmz58/3rL30mO333674+/w+lhr+eOPP9i7dy979+7l559/jn1/z549LF269LIV0WnSpPlXmXxpoZwzZ05S6Hp+SYKMgbFjvaK4dWtYvRqCg12nCkwqjEUClLWW9u3bs3TpUj755BOqVavmOpKIiIi4lRvYF+d+FFD+0pOMMV2BZ4HUgJ5A+Mivv3pF8YMPwjvvuE4jcv2OHTvGli1bLiuG9+7dG3tOqlSpuOeeeyhTpgyPPfYYRYsWpWjRohQuXDjZ761ijCFHjhzkyJGDcuXKXfa4tZajR4/GWyjv3buXNWvWcOjQoX99TKpUqciTJ89lq5SLFClCyZIlue2223z17YncsDvugHHjoG5dbzO8t95ynSgwqTAWCVB9+vRhwoQJDBw4kEcffdR1HBEREXEvvuubL1tBbK19D3jPGNMKeBloc9knMqYT0Akgb968CRwzMPXsCWfOeL9Ep0rlOo3I5Q4fPnxZKbx582b2798fe05wcDD33nsvlSpVomPHjrHFcMGCBQkKUj0RH2MMmTNnJnPmzJQsWTLec06cOMEvv/wSb6G8cOFCDhw4EHtu6tSpKVWqFBUqVIi95cuXTyMuxK888oj3IumQIRAW5o2nEN8y/1zqEQhCQ0Pt2rVrffK1qlTx3i5b5pMvJ3JD3n//fTp37kynTp0YPXq0nhyIiIjPGWO+t9aGus4hFxljKgL9rLW1Y+6/CGCt/b8rnJ8COGKtveruTL58Dp5czZ/vrbR67TXo08d1Ggl0f/zxR7zF8O+//x57Tpo0aWLL4Li3/PnzkzJlSofpA9OZM2fYt28fGzduZNWqVaxatYq1a9dy6tQpAHLkyEH58uVjC+TQ0FDSp0/vOLUEupMnoXRpOHECfvwRMmd2nSjpu5Hn3yqME4kKY/FX8+bNo379+oSFhTFr1iy9ki8iIk6oMPY/xpggYDtQHdgPrAFaWWt/inNOYWvtjpj36wGvXOvPUYXxrTlxAooVg3TpYN06SOZX54sfOnjwIEuWLGHJkiV8+eWX7Nq1K/ax9OnTx1sM582bVzN0/dy5c+fYtGlTbIH83XffsW3bNgBSpEhBsWLF/rUK+d5779Wfqfjc2rVQsSI0agSTJ3szjuXm3cjzbzVFIgFkzZo1NG/enFKlSjF58mSVxSIiIhLLWnveGNMNWASkBMZZa38yxrwKrLXWzgG6GWNqAOeAI8QzjkISVr9+8Msv8PXXKovFN/766y+++uorvvzyS5YsWcLGjRsByJAhAw8//DBdunThvvvuo2jRouTOnVtXKyZRqVKlolSpUpQqVYouXboA3liR1atXxxbIU6dOZezYsYD351+uXLnYArl8+fJky5bN5bcgASA0FPr3966uqVcPNE3Td7TCOJFohbH4m927d1OxYkXSpEnDt99+y5133uk6koiIBDCtMA4cWmF889atg7JloX17eP9912kkuTp9+jQrV66MLYjXrFlDdHQ0wcHBVKpUierVq1OtWjXKlCmjBScB5sKFC+zYsSO2QF61ahUbN24kOjoagIIFC/5rFXKJEiWS/SaF4nvR0fDww95Yig0bIH9+14mSLo2kuAIVxhKoDh06xAMPPMDBgwdZuXIl9957r+tIIiIS4FQYBw4VxjcnOhoqVIB9+2DLFs1ulIRz/vx51q5dG1sQr1ixgjNnzpAyZUrKlSsXWxBXrFiR4OBg13HFz/z99998//33sQXyt99+G7up3m233UaZMmWoWLEi4eHhPPTQQ6TSLp2SAPbsgfvvh5IlYelS0Cj0m6ORFCIS69SpU9SvX5+9e/fyxRdfqCwWERERSQJGjPBmN06erLJYbs2FCxfYtGlTbEG8fPlyjh8/DsD9999P165dqVatGpUrV9ZGZ3JNadOmpXLlylSuXBkAay1RUVGxBfKqVasYMWIEQ4YMIXPmzNStW5eGDRtSq1Yt0qZN6zi9JFUFCnj/LrZpA4MHwwsvuE6U/N1QYWyMCbLWno9zP6+19peEjyUiCeHChQs8/vjjrFy5ks8++4wHH3zQdSQRERERuYZ9++Dll6FOHWjWzHUaSWqstezatSu2IF66dCkHDx4EoHDhwrRu3Zpq1apRtWpVzaCVW2aMIU+ePOTJk4cmTZoA3irkzz//nFmzZjF37lw++eQTgoODqVWrFg0bNqRu3br6uyc37LHHYN486NsXatWC0qVdJ0rerqswNsZ0BJ4DMhhjbgd+AF4CRgL6IxLxU8899xzTpk1jyJAhNG3a1HUcEREREbkOTz/tjaQYOVI7wsv1OXr0KPPmzYstiX/5xVvXlTt3bsLCwqhWrRrVqlUjT548jpNKIEibNi0NGzakYcOGnDt3jq+//ppZs2Yxa9Ys5syZQ4oUKXjooYdo0KABDRo0IL+G0sp1MAZGj4YVK6B1a/j+e0iTxnWq5OuaM4yNMb2BUOBpa+1vMcdqAUOAvNbajImeMoFohrEEknfeeYeePXvSvXt3hg0bpt2LRUTEr2iGceIwxtQDNlpr98bc7ws0BvYCPay1e3ydSTOMb8zMmdCoEbz5Jjz/vOs04s9Onz7NggULmDBhAvPmzePs2bNkzZqVqlWrUq1aNapXr07hwoX1e4D4DWst69atY+bMmcyaNYtNmzYBULJkydjyuESJEvo7K1e1eLG3wrhbN3j3XddpkpYE3fTOGLMVuM9ae+6S4zmAkdbaxjed1MdUGEugmD59Ok2bNqVBgwZMnTqVlJoILyIifkaFceIwxmwEKlhrTxpj6gJDgZZAKaCptba2rzOpML5+f/0FRYtCtmywZg1oryi51IULF1i+fDkTJkxg2rRpHDt2jBw5ctCiRQtatmxJ2bJlSZEiheuYItdl586dsSuPV65cibWWAgUKxJbHlSpV0u+yEq9nnoFhw2DBAggLc50m6UjwwthaG+8uWcaYKtbaZTce0Q0VxhIIVq5cSfXq1SlVqhRffvklt99+u+tIIiIil1FhnDiMMRustffHvD8O2GatfSPm/g/WWp+Pk1NhfP26d/c29Vm1CsqVc51G/IW1lg0bNjBhwgQmTZrE/v37SZcuHY0aNYqdRxwUpP3sJWn7/fffmTt3LjNnzuSLL77g7NmzZMuWjXr16tGwYUNq1Kih320l1unTEBoKhw7Bxo2QPbvrREnDjTz/vp6XHncZYx6J54u8Cnx5o+FEJPFs27aNevXqkSdPHubMmaN/UEVERAKPMcakM8akAKrz7+frwY4yyXVYvdori7t2VVksnp9//pnXX3+d4sWLU6pUKYYNG0bp0qWZPHkyv//+Ox999BG1atVSWSzJQo4cOejQoQPz58/nzz//ZMqUKdSsWZPp06cTERFBtmzZaNy4MZ9++ilHjhxxHVccCw6GCRPg8GHo1AmusRZWbsL1/MvyFDDdGNMW2ACkA8KB9cC2xIsmIjfi999/JywsjJQpUxIZGaldZ0VERALTMLzn6X8BW6y1awGMMaWAAy6DyZWdO+f9wpsrFwwc6DqNuHTo0CGmTJnChAkTWLFiBQCVKlVi5MiRNG3aVM/xJSCkT5+epk2b0rRpU86ePcuyZctiR1fMmDGDlClTUrVqVdq3b0+j/2fvvuOyrP4/jr8OuM1RrtTcmqKmlqSipWYpICiOSNwzNEdamrNMy5GD3JojNw4cOMGRqWm5cO9VObMsNfcAzu+Poz/9likqcO775vN8PM7jhuu6hHcmcPG5zvmcOnVIkSKF7cjCgpIlYcAA6NIFJk+Gli1tJ3Itj21JAWaaAuANeAAxwDqt9R6lVLd7S9ycgbSkEK7q2rVrVK5cmf3797Nu3TrKyLQUIYQQDk5aUiQcpVROICuwW2sde/dYdiC51vpkYueRlhSPN2QIdO0KCxdC7dq204jEdv36dZYsWUJoaCgrVqwgOjqaokWL0rBhQxo0aEDevHltRxTCIcTGxrJt2zYWLVrEnDlz+PXXX8maNSstW7YkODhYvlaSoNhYeOcds0pn1y4oWNB2IscWrz2MXYkUjIUrio6Opnbt2kRERBAeHk7NmjVtRxJCCCEeSwrGSYcUjB/t11/NRnfVqsGiRbbTiMQSHR3NmjVrCA0NJTw8nKtXr5IzZ07q169Pw4YNKVmyJGbelhDiYWJjY1m5ciXjxo1j+fLlaK2pXr06H3zwAT4+PrJZXhJy6hSUKAGvvgpr1oB86/xvT3L/Lc2OhHBiWms6dOjAsmXLGDNmjBSLhRBCCCGciNbQti24u8OoUbbTiISmtSYqKorQ0ND/70OcIUMG6tWrR8OGDalYsaIUuYSIIzc3N3x9ffH19eXkyZNMnDiRSZMm4e/vT548eQgODqZly5Zky5bNdlSRwHLlgi+/hA4dIDISqle3ncg1xGXTOyGEgxo0aBDffPMNXbt2pW3btrbjCCGEEEKIJxAWZn657dfP/MIrXNOVK1cYNmwYRYoUoUyZMowbN47y5cuzYMECzp07x6RJk3jrrbekWCzEU8qdOzdffvklJ0+eJCwsjPz589OrVy9y5cpFUFAQ69evJymtrk+KgoNNO4quXSEmxnYa1/DYgrFSyiGttn0AACAASURBVEvJWhghHM6sWbPo0aMHQUFBDBw40HYcIYQQQjgApVSUUmqEUspHKZXKdh7x3y5ehI4dwdMT2re3nUYkhNOnT9O1a1dy5crFxx9/TJYsWZg4cSLnzp1j4cKF1KlTh1Sp5MtUiPiSPHlyAgMD+f777zl48CDt2rVj5cqVVK5cmeLFizNq1CguXbpkO6ZIAClSwMCBsH8/TJtmO41riMsM46bAdqXUHKVUM6XUiwkdSgjxaGvXrqVZs2ZUqlSJqVOn4uYmiwWEEEIIAUA5IByoDKxXSkUopToqpV62G0v8U48ecP48TJhgWlII17F7926aNGlCvnz5CAkJwdvbmy1btrBx40ZatWrF888/bzuiEC6vSJEiDBs2jDNnzjB58mTSpk3Lhx9+SM6cOWnVqhXbt2+3HVHEs7p1oWxZ+OwzuH7ddhrn99gqk9a6jdb6NaAP8DwwVSm1SSk1QClVUSkltzdCJKJ9+/ZRu3ZtChUqRHh4OClTprQdSQghhBAOQmsdrbVep7XurrUuC7QErgD9lFI7lFJjLUcUwI8/wvjx0KmT2aRHOD+tNStXrqRq1aqUKlWKhQsX0q5dO44dO8bcuXMpU6aM7YhCJElp0qShefPmbN26laioKBo0aMDs2bPx9PSkTJkyTJkyhetSXXQJSsGQIXD2LAwfbjuN81NP08dFKZUaeAvwBbycZYfrxNyhuXJl87puXaJ8OpFEnD17lnLlynHnzh02b95Mnjx5bEcSQgghnsqT7NIs4odSyg1z7/5jYn7exLwHdwa3b5si8dWrZunsc8/ZTiSexa1bt5g9ezYhISHs27eP7Nmz07FjR4KDg2UmsRAO6tKlS8yYMYNx48Zx8OBBMmbMSLNmzWjdujVFihSxHU88o1q14Pvv4fhxyJLFdhrH8iT330+1jl1rfUNrHaG17iA3+kIkjsuXL1O9enUuXrxIRESEFIuFEEII8US01rGJXSwW/zZkCBw4AGPHSrHYmV28eJGvvvqKfPny0bx5cwCmTp3Kr7/+Srdu3aRYLIQDy5gxIx06dGD//v2sW7cOHx8fxowZg4eHB1WqVGH+/PnEyM5pTuurr0xLii+/tJ3EuUnjUyGcwJ07d3j33XfZt28f8+bN41VZuyiEEEII4XSOHTO/wAYGgp+f7TTiafzyyy907NiRXLly0aNHD4oXL87KlSvZs2cPTZs2JUWKFLYjCiHiSClFpUqVmD17NqdOnWLAgAH8/PPPBAYG8sorrzB37lxiY2NtxxRPqEgRaNUKxo0zP3fF05GCsRAOTmtNcHAwq1evZsKECfj4+NiOJIQQQgghnpDW0KYNpEwpvRWd0datW3nvvfcoWLAgY8eOpW7duuzatYtVq1ZRrVo1lFK2IwohnkG2bNno0aMHx48fJywsDDc3N4KCgihRogTz58+XwrGT6dPH/Lzt2dN2EuclBWMhHFzfvn2ZOnUqvXv3pkWLFrbjCCGEEEKIpzBzJqxZY5bK5shhO42Ii9jYWJYsWULFihUpW7Ysq1atokuXLvzyyy9MmzaNkiVL2o4ohIhn7u7uBAYGsmfPHubMmUNsbCyBgYG8+uqrLFy4UArHTuLFF6FLF5g3D7ZssZ3GOTlEwVgpNUQpdUgptUcpFa6UyvjAuR5KqWNKqcNKKe8HjvvcPXZMKdXdTnIhEtbkyZPp27cvzZo1o0+fPrbjCCGEEEKIp/Dnn/Dxx+DlBa1b204jHufGjRuMHz8eDw8PAgICOHHiBMOGDePUqVMMGjSIl156yXZEIUQCc3Nzo169euzdu5fQ0FBu3rxJ3bp1KV26NIsXL0ZrbTuieIzOnSFbNvjkE7PKRzwZhygYA6uB4lrrEsARoAeAUqooEAQUA3yAsUopd6WUOzAG8AWKAvXvXiuEy1i5ciXBwcFUrVqVCRMmyDI3IYQQQggn1asXXLoE48eDm6P8Bib+5ebNmwwZMoTcuXPTpk0b0qdPz5w5czh+/DidOnUiXbp0tiMKIRKZu7s7DRo0YP/+/UyfPp2rV69Sq1YtXn/9dZYtWyaFYweWLp1pTbFhAyxdajuN83ns7YpS6oU4jIyP+ziPorVepbWOvvvuZuDeI9sAYI7W+pbW+hfgGFDm7jimtf5Za30bmHP3WiFcws6dO3n33XcpXrw48+fPJ3ny5LYjCSGEEMIJKKVGxmH0s50zKfnlF5g8GT74AF55xXYa8TCxsbHMmDGDwoUL07VrVzw9PVm/fj1bt26lXr16JEuWzHZEIYRlyZIlo3Hjxhw8eJApU6Zw8eJFatSoQdmyZYmMjJTCsYNq2RIKF4Zu3SA6+vHXi/vi8nz7LBAFbH/E2BOPmVoAkXffzgmceuDc6bvH/uu4EE7v5MmT+Pn5kTFjRpYvX0769OltRxJCCCGE8wjg0fft24G61tIlQV99ZWYVd+tmO4l4mO+++47SpUvTpEkTMmfOzJo1a4iMjKRixYqywk8I8S/JkiWjWbNmHDp0iEmTJnH+/HmqV69O+fLlWbVqlRSOHUzy5Obn8KFD5uGtiLu4FIwPaq3za63z/dcA/nrcB1FKfaeU2veQEfDANb2AaCD03qGHfCj9iOMP+7zBSqkopVTU+fPnH/sfK4RNFy9exNfXl+vXrxMZGUnOnPIcRAghhBBPZJjWetqjBjDedsik4uRJmDIFWrUCua1zLHv27MHHx4eqVaty8eJFQkND2bZtG1WqVLEdTQjhBJInT07Lli05fPgw48eP58yZM3h7e/Pmm2+yZs0aKRw7kIAAqFABPv8crl61ncZ5xKVg7BUf12it39FaF3/IWAyglGoK+AMN9f2vrNNArgc+zEuYGc//dfxhn3eC1tpTa+2ZJUuWOPynCGHHrVu3qF27NkePHiU8PJzixYvbjiSEEEII57P5cRdorYcnRhABgwaZV5ld7DhOnz5N8+bNKVWqFFu3biUkJITDhw/ToEED3KTBtBDiCaVIkYLg4GCOHj3K2LFj+fXXX3nnnXeoXLky69evtx1PAErB0KFw7hx8/bXtNM4jLj8RK/3XCaVUIIDW+uazhFBK+QDdgJpa6+sPnFoCBCmlUiql8gGFgK3ANqCQUiqfUioFZmO8Jc+SQQibYmNjad68OevXr2fKlCm89dZbtiMJIYQQwjmNU0qNf9Y9RsSzO3MGJk2C5s0hd27bacTff/9Nz549KVSoELNnz6ZLly4cP36cjz/+mJQpU9qOJ4RwcilTpuSDDz7g2LFjjBo1iqNHj1K5cmWqVKnChg0bbMdL8sqVg3ffhcGD4fffbadxDnEpGEcopdYqpR62iKpHPOUYDaQDViuldimlvgHQWu8HwoADwAqgndY65u4Gee2BlcBBIOzutUI4pZ49ezJ79mwGDBhAw4YNbccRQgghhPMqjbk/3qqUamw7TFI2eDDExkKP+PqNSTyV27dvM3LkSAoUKMDAgQN59913OXz4MIMHD+b555+3HU8I4WJSpUpF+/btOX78OMOHD+fAgQNUrFiRatWqceDAAdvxkrQBA+DWLejb13YS5xCXgvEeYBaw+d6M4gfEyy4AWuuCWutcWutSd0ebB87111oX0FoX1lpHPnA8Qmv98t1z/eMjhxA2jBs3jkGDBtGmTRu6d+9uO44QQgghnJjWOvZuy4lawGil1BWl1OV7r7bzJRW//QYTJkCTJpA3r+00SZPWmrCwMDw8POjYsSOlSpVi+/btzJgxgzx58tiOJ4RwcalTp6Zjx478/PPPhISEEBUVRcmSJfnkk0+4cuWK7XhJUqFC0KaN+fl8+LDtNI4vLgVjrbWeCLwNdFVKTVFKpbl3LuGiCeH6lixZQvv27fH392fUqFGyE7MQQgghnplSqiWwGOgFpNdap9dap9Nap7ccLckYOhTu3IGePW0nSZo2bNhAuXLlqFevHmnTpiUyMpLVq1fz2muv2Y4mhEhi0qRJw8cff8yRI0do2rQpQ4cOxcPDg7lz58rGeBZ89hmkSSOrf+Iizl39tdZHMJvb/Q7sVEqVTbBUQiQBW7duJSgoiNKlSzNnzhySJUtmO5IQQgghnJxS6ifMRI83tdajtfw2muh+/x3GjYOGDaFAAdtpkpZDhw4REBBAxYoVOXPmDJMnT2bnzp34+PjIxAwhhFWZM2dm0qRJbNq0iaxZsxIUFETVqlU5dOiQ7WhJStasZiPa8HD48UfbaRxbXArG//+TVWsdrbXuDrQGZmM2oRNCPKHjx4/j7+/Piy++yNKlS0mbNq3tSEIIIYRwDZ9rrRtorc/ZDpJUhYSYHokyuzjxnDt3jjZt2lC8eHHWrl3LgAEDOHLkCM2bN8fd3d12PCGE+H/lypVj27ZtjBkzhu3bt1OiRAm6d+/O1atXbUdLMj76CHLkgE8+AXms/t/iUjD+VztorfU6zIYa0jtYiCf0559/4uvrS0xMDJGRkWTLls12JCGEEEK4jnyPu0ApFZwYQZKi8+dhzBgICoLChW2ncX3R0dGEhIRQsGBBvv32W9q2bcvx48fp0aMHadKkefwHEEIIC9zd3Wnbti2HDx+mUaNGDBo0CA8PD+bPny9tKhJBmjTwxRewaZOZaSwe7rEFY631ov84flFr/VX8RxLCdd24cYOaNWty8uRJlixZQmH5TUIIIYQQ8aubUqrOI0ZdoKPtkK5q2DC4cQN69bKdxPXt3r0bLy8vunTpwltvvcXBgwcZOXIkWbJksR1NCCHiJGvWrEyePJkff/yRzJkzExgYiLe3N4dlR7YE17QpFCsG3bubPQfEvz22YKyU2hEf1wiR1MXExNCwYUM2b95MaGgoFSpUsB1JCCGEEK7nB6DGI4Y/sNpaOhd24QKMGgWBgVC0qO00ruvmzZv06tULT09PTp48ydy5c1myZAkFCxa0HU0IIZ5K+fLl2bZtG6NGjWLr1q288sor9OzZk2vXrtmO5rKSJYNBg+DoUZg40XYaxxSXXbY8lFJ7HnFeARniKY8QLklrzccff0x4eDjDhg2jbt26tiMJIYQQwgVprZvbzpBUDR8OV6+aHdhFwtiwYQPvv/8+hw8fpmnTpoSEhJApUybbsYQQ4pklS5aM9u3bExgYSLdu3Rg4cCChoaEMHz6cWrVqycadCaB6dahcGfr0gcaNIV0624kcS1x6GBfh8bMUyidUQCFcwbBhwxg5ciSdOnWiU6dOtuMIIYQQwsUppfIppb5WSi1USi25N2znclWXLsGIEVC3LhQvbjuN67l8+TJt27alYsWK3Lp1i5UrVzJ16lQpFgshXE62bNmYOnUqGzZsIGPGjNSpU4fq1atz9OhR29FcjlIweLDZf2D0aNtpHE9cehifiMM4nRhhhXBG8+bNo3PnztStW5eQkBDbcYQQQgiRNCwCfgVGASEPDJEARo6Ey5fh009tJ3E9y5Yto1ixYnzzzTd06tSJvXv3Uq1aNduxhBAiQb3xxhts376dESNG8NNPP1G8eHE+++wzrl+/bjuaS3n9dXjnHbNhrfQy/l9xmWEMgFLKUykVrpTaoZTao5Ta+5hWFUIkeRs3bqRx48aUL1+eGTNm4OYW5y85IYQQQohncVNrPVJrvVZrvf7esB3KFV2+bDa7CwiAUqVsp3Edf/zxB/Xr16dGjRpkzJiRTZs2MWzYMJ577jnb0YQQIlEkS5aMDz/8kEOHDvHee+/Rr18/ihYtSkREhO1oLqVjRzhzBsLDbSdxLE9SvQoFpgB1ud+KokZChBLCFRw6dIiaNWuSJ08elixZQurUqW1HEkIIIUTSMUIp9blSyksp9dq9YTuUKxo92rSkkN7F8UNrzYwZM/Dw8GDBggX07duX7du3U7ZsWdvRhBDCiuzZszNjxgzWr1/Pc889h5+fH61bt5ZN8eJJ9epQoIBpLSXue5KC8Xmt9RKt9S8PtqNIsGRCOLFz587h6+tLsmTJiIyMlP5qQgghhEhsrwDvA19xvx3FUKuJXNCVKxASAn5+ULq07TTO78SJE/j6+tKkSRMKFy7Mrl276N27NylSpLAdTQghrKtYsSLbt2+na9euTJw4kVKlSrFlyxbbsZyemxt06AA//QRRUbbTOI4nKRh/rpSapJSqr5Sqc28kWDIhnNTVq1fx9/fnjz/+YPny5eTPn992JCGEEEIkPbWB/FrrSlrrt+6OKrZDuZpx4+DCBZld/KxiYmIYMWIExYoVY+PGjYwcOZINGzZQtGhR29GEEMKhpEyZkkGDBrF27Vpu375NhQoV6NOnD3ekAe8zad4cnntOZhk/6EkKxs2BUoAPphXFvbYUQoi7oqOjqVevHjt37mTu3Lm8/vrrtiMJIYQQImnaDWS0HcKVXbsGQ4eCtzdIt4Snt3//ft544w06depExYoVOXDgAB06dMDd3d12NCGEcFiVKlViz549NGjQgL59+1KhQgWOHDliO5bTSp/eFI3nzoVz52yncQxPUjAuqbX21Fo31Vo3vztaJFgyIZyM1pp27doRERHBmDFj8PeX5ylCCCGEsCYbcEgptVIpteTesB3KlYwfD+fPQ+/etpM4p+joaL744gteffVVjh49yowZM1i+fDm5c+e2HU0IIZxChgwZmD59OmFhYRw/fpxSpUoxbtw4tNa2ozmlDh3gzh345hvbSRzDkxSMNyulZE2QEP9h4MCBTJgwge7du9OmTRvbcYQQQgiRtH2OaUsxgPs9jEOsJnIhN27A4MHw9ttQvrztNM7n1KlTVK5cmc8//5x3332XgwcP0qhRI5RStqMJIYTTCQwMZO/evbz55pu0bdsWPz8/zsk02SdWqJDZAG/cOLh1y3Ya+56kYPwGsFspdVgptUcptVcptSehggnhTGbOnEmvXr1o0KAB/fv3tx1HCCGEEEmc1nr9w4btXK5i4kT4/XeZXfw0lixZQqlSpdi9ezehoaHMmjWLLFmy2I4lhBBOLUeOHKxYsYJRo0axdu1aihcvTnh4uO1YTqdjR/jjDwgLs53EvicpGHsDBYGqmN7FfkgPYyH4/vvvadGiBZUrV2by5Mm4uT3Jl5UQQgghRPxRSl1RSl1+yLiilLpsO58ruHkTBg2CSpWgYkXbaZzHrVu36NSpEwEBAeTJk4cdO3bQoEED27GEEMJlKKVo3749O3fuJG/evNSpU4cWLVpw+bL8+I+rqlXBw8NsfpfUO3s8trL1wM3lPmDv3dd9wP67r0IkWXv37qV27dq8/PLLhIeHkzJlStuRhBBCCJGEaa3Taa3TP2Sk01qnt53PFcybB2fPQq9etpM4j+PHj1OhQgVGjBhBhw4d2LRpE4UKFbIdSwghXFKRIkX46aef6NWrF9OmTaNkyZJs3LjRdiynoJTpZbx9O/z0k+00dqmk1Azb09NTR0VFJcrnqlzZvK5blyifTlhw+vRpvLy8iI2NZdOmTbJBhxBCCPEElFLbtdaetnOIhJeY9+CJoVIlUzA+csT8Yikebc6cOQQHB+Pu7s6UKVOoVauW7UgiqYiJMUsCbtx4uletIVkycHc348G34/p+mjSQIcP/jlSpbP/NiCTkp59+onHjxvzyyy9069aNvn37kiJFCtuxHNq1a/DSS1CtGsydaztN/HqS++9kCR1GCFd0+fJl/Pz8uHTpEhs2bJBisRBCCCFEEnDkCPzwAwwcKMXix7l+/TqdOnVi4sSJeHl5MXv2bPLkyWM7lnBGWsOlS/Dnn/fH+fOPfv/aNbhz59k+r1IJsyY9RQpTOM6Y8d/F5H+OjBkhSxbImRNy5JBis3hi5cuXZ9euXXz00Ud89dVXrFixgpkzZ1KsWDHb0RxW2rTQqhUMGwanTkGuXLYT2SEFYyGe0O3bt6lbty4HDhxg+fLllCpVynYkIYQQQoh4oZTyAUYA7sAkrfVX/zj/MdAKiAbOAy201icSPagl335rJg42bWo7iWM7cOAA7733Hvv376d79+588cUXJE+e3HYs4Wi0hr/+gl9/NePECfN67tz/FoH/+guiox/+MVKmNAXVLFkgc2bIlw8yZYJ06SB1alNg/efrw4798zVFClMwjo01M5Xvjejo/37/YeeuXzfF7r//fvT47bf7b1+9+t9/Z5ky3S8e58z575Ejh/l7kH11xAPSpUvHpEmT8Pf35/3338fT05Px48fTpEkT29EcVrt28PXXMHaseUicFEnBWIgnoLXm/fff57vvvmPKlClUq1bNdiQhhBBCiHihlHIHxmA2uT4NbFNKLdFaH3jgsp2Ap9b6ulLqA2AwUC/x0ya+O3dg6lTw94fs2W2ncUxaa6ZMmUL79u157rnnWLFiBd7e3rZjCVv+WRB+2Lh27X//TIYM94ueL78MFSqYtzNnvl8UfvD9NGkSdrq/m5sZifnAIyYGLl82xeNLl+CPP+DMmf8dZ8/Crl3w++//ngWdPPm/C8oFC5q/z8KFzVp7KSgnSbVq1cLLy4ugoCCaNm3Ktm3b+Prrr+WB3kPkzQsBATBhAvTubZ4lJTVSMBbiCXz++edMnz6dPn360KxZM9txhBBCCCHiUxngmNb6ZwCl1BwgAPj/grHWeu0D128GGiVqQouWLTN1m1atbCdxTFeuXOGDDz4gNDSUKlWqMHPmTLJLZT1pOH8e9u0z4/DhRxeEM2Y0lZhChaBqVfP2vZEnjzmf1Lm7w/PPm/E4d+6YGdkPFpIfLCzv3g3Ll5uZzvekTm3+/u8VkB98jcvnFE4tW7ZsrF69mm7duvH111+za9cu5s2bx4svvmg7msPp2BHCwyE0NGn+7JeCsRBxNGnSJL788ktatGhB7969bccRQgghhIhvOYFTD7x/Gij7iOtbApEPO6GUCgaCAZfZ62HSJDNRz8fHdhLHs3PnTurVq8fx48f54osv6NmzJ+7u7rZjifh26RLs328Kw/de9+0zBeN7MmQwbSGkIJw4kic3DVYf1WRVa9Py4sgRU9C/97p7t6mGxcTcvzZLlocXkgsWNG06hEtIliwZISEheHp60rJlS0qXLs2CBQsoV66c7WgOpWJFKFECRoyAli2T3t4FUjAWIg4iIyNp06YN3t7efPPNN6ik9p1CCCGEEEnBw25wHrrjk1KqEeAJVHrYea31BGACgKenZwLsGpW4Tp2CFSugZ09IJr9B/T+tNWPGjKFz585kzpyZtWvXUrFiRduxxLO6dg0OHPh3YfjMmfvXPPccFCsGNWua1+LFzXjxxaRXVXF0SpkWFTlyQOXK/3vu9m34+ed/F5OXL4fJk+9flyIFvPIKvPba/VGihGzC5+Tq169P0aJFqV27NhUrVmT06NEEBwfbjuUwlDKzjFu2hHXr4K23bCdKXHK7I8Rj7Nixg8DAQEqUKMG8efOkv48QQgghXNVp4MFpai8BZ/95kVLqHaAXUElrfSuRslk1darZ+6pFC9tJHMeNGzdo0aIFc+bMwc/Pj6lTp5I5c2bbscSTunYNtm+HLVvM2LnTFBDvSZkSihaFKlX+tzCcK5f0wXUFKVJAkSJm/NOlS3D0qCkg79kDO3bA/PkwcaI57+5u/k08WEQuWdI8TBBOo2TJkkRFRdGgQQNat27Ntm3bGDVqFKnkYQAA9etD165mlrEUjIUQ/+/EiRP4+fmRKVMmli9fTrp06WxHEkIIIYRIKNuAQkqpfMAZIAho8OAFSqlXgfGAj9b6j8SPmPhiY+Hbb+Gdd8xKewFnz56lVq1aREVFMWDAALp164abFA8dX2wsHDx4vzi8ZYuZOXyvJUH+/ODpCc2a3S8M589vCoMi6cmYEV5/3Yx7tIYTJ0zx+N6IiDBP1cBMySxc2BSPS5c2r6VKSSsSB/fCCy+wfPlyPv/8c/r378+ePXuYP38+uR7V6iSJSJ0aWreGgQPNs7T8+W0nSjxSMBbiP1y8eBFfX19u3rzJmjVrZNMOIYQQQrg0rXW0Uqo9sBJwByZrrfcrpb4AorTWS4AhwHPAvLstuk5qrWtaC50I1qwx9ZFBg2wncQw7duygZs2aXLp0ifDwcAICAmxHEv/l99//tzi8bRtcvmzOZcgAZcqYPitly5q3s2Sxm1c4PqXu96SuU8cc09pstvdgEfmHH2DWrPt/zsMD3nzTNIV9801wkd72rsTd3Z1+/fpRunRpmjZtSunSpZk3bx6VKj2081SS0ratuQcYMwZCQmynSTxKa6dvKRZnnp6eOioqKlE+173WQOvWJcqnE/Hs1q1beHt7s2nTJlatWiXfJIUQQoh4ppTarrX2tJ1DJLzEvAdPCPXqwXffmXpIypS209g1f/58mjRpQpYsWViyZAklS5a0HUncExtr2gasWwebN5tx4oQ5lyyZ6Tdbtuz98fLL0lJCJKw//jAtTrZvhx9/NOPvv825PHnuF5ArVjT/HqX3tcM4ePAgtWvX5tixY4SEhPDhhx8m+X2cgoLMXganTzt315Unuf+WGcZC/ENsbCzNmjVj/fr1zJ49W4rFQgghhBBJ1J9/Qng4tGuXtIvFWmv69+/PZ599hpeXF+Hh4WTLls12rKRNa9Nfds0aM9auhQsXzLncuU1R+MMPzetrr5l11UIkpqxZwdvbDDCtT/buhQ0bzAzk1ath5sz717755v0icokS0grFIg8PD7Zu3UqTJk3o1KkT27ZtY8KECaRJk8Z2NGs6doS5c2H6dDPjOCmQgrEQ/9CjRw/mzJnDoEGDCAoKsh1HCCGEEEJYMmMG3LljdkhPqm7cuEHLli2ZPXs2jRs3ZsKECbIZki2nT5vi8Pffm9czZ8zxXLmgZk14+22zK1POnHZzCvEw7u6mn3GpUtChw/2HHvcKyD/8AAsWmGvTp4cKFUwB+a23TB9lKSAnqvTp07Nw4UIGDBhA79692b9/PwsXLiRfEm3mX66c2dNRCsaJTCkVCPQBPIAyWuuou8fzAgeBw3cv3ay1bnP3XGlgKpAaiAA66qTUX0MkiDFjxjB48GDatm3LJ598YjuOEEIIIYSwRGuYNMn8kli8uO00VDOQKAAAIABJREFUdvz222/UqlWLrVu3MnDgQLp165bklyUnqj//NDOH7xWIjx41xzNnhipVTIG4ShUoUECW8wvno5RpRfHyy/efyp06ZQrI94rIkZHm+AsvQLVq4ONjhqxwSBRubm58+umnlC5dmgYNGlC6dGnmz59PlSpVbEdLdEpB/frQvTv88kvS2ATXIQrGwD6gDmbH5X86rrUu9ZDj44BgYDOmYOwDRCZYQuHyFi9ezIcffkjNmjUZOXKk3AwLIYQQQiRhmzbBgQOmaJwU7dy5k5o1a3LhwgUWLlxI7dq1bUdyfXfuwMaNsHy5aZy9e7c5ni4dVKpkprVVqWKeYEj/YeGKcuWCBg3MAPPQ5PvvTeF4xQqYM8ccf+018PU1xeNy5UyfbpFgfH19iYqKIiAgAB8fH6ZOnUqDe/+PkpB69UzBeO5c8+rqHOKnjNb6oNb68OOvNJRS2YH0WutNd2cVTwdqJVhA4fK2bNlC/fr18fT0ZPbs2bjLchchhBBCiCRt0iSzsU29eraTJL6FCxfyxhtvoJTixx9/lGJxQrp0yRTBGjQwfVyrVIHRoyFTJujf3zy5uHABli6FTp1Mb1cpFoukInNmeO89mDLFtGDZscN8XaRNC199ZVpWZMly/5rffrOd2GUVKFCAjRs3Ur58eRo2bMjgwYNJaov88+Y1zyfuPbdwdc7wGCafUmoncBn4VGu9AcgJnH7gmtN3jwnxxI4dO4a/vz/Zs2dn6dKlSbqRuxBCCCGEgMuXzQyiBg2cezf0J6W1ZsCAAXz66aeULVuWRYsW8eKLL9qO5Xp+/tkUgJcsMcvuo6NN0atOHdOL+J13TEFMCHGfmxu8+qoZPXuahy3ffXd/9vG8eea6kiXN7GNfXyhfXmYfx6OMGTOycuVKmjZtSrdu3Th9+jTDhg1LUhPu6tc3G+AdPAgeHrbTJKxE+8pRSn0HPOxuo5fWevF//LHfgNxa67/u9ixepJQqBjysV8BDH20opYIxrSvInTv3kwcXLu38+fP4+vqitWbFihVkzZrVdiQhhBBCCGHZnDlw/Tq0amU7SeK5efMmrVq1IjQ0lIYNGzJp0iTZ3C6+xMbC1q2mQLxkCezfb44XKwaffAI1akCZMrKplxBPImNGePddM7SGPXtM4TgyEoYONTOQM2eGWrXMNVWqQPLktlM7vZQpUzJr1ixeeuklQkJCOHPmDDNnziR16tS2oyWKwECz2GPOHOjb13aahKUcaQq5Umod0OXepnf/dR44A6zVWhe5e7w+UFlr3fpRH9/T01NHRT30Q8e7ypXN67p1ifLpxFO4fv06b7/9Nrt27eL777/Hy8vLdiQhhBAiyVBKbddae9rOIRJeYt6Dx5cyZeDmTdNCNilsa/HXX3/h7+/P5s2b6d+/Pz169JD9PJ7VjRuwapUpEC9bBn/8YQrClSqZWcQ1akD+/LZTCuGa/v7bzD5euNDM5r9yBZ5/HgICTPH4nXcgZUrbKZ3e8OHD+fjjjylfvjyLFy8mU6ZMtiMliipVTIeUQ4ec7x7hSe6/HXpuvlIqC3BBax2jlMoPFAJ+1lpfUEpdUUqVA7YATYBRNrMK5xITE0PDhg3ZsmULCxYskGKxEEIIIYQATJF42zYYMcL5fhF8GmfOnKFatWocP36c+fPnU7duXduRnNft27B6NcyeDYsXw9WrkCEDVK9uCsQ+PqZoJYRIWBkyQN26Zty8ab4u58+H8HCYOhXSpzcPbt59F6pVgyQyOza+derUiZw5c9K4cWMqVKjAihUryJs3r+1YCS4oCFq3hl27TIcUV+UQ3fKVUrWVUqcBL2C5Umrl3VMVgT1Kqd3AfKCN1vrC3XMfAJOAY8BxIDKRYwsnpbXmo48+YtGiRQwfPlw28RBCCCGEEP/v22/NxLNGjWwnSXhHjx6lQoUKnDp1ihUrVkix+GnExMDatRAcDNmzg78/RESYRperV8P58zBrlnlfisVCJL5UqcwDm2nTzEz/iAhTKI6IMO0qsmY1X58LFpheROKJBAYGsmrVKn7//Xe8vLzYuXOn7UgJrm5d0xrb1Te/c6iWFAlNWlIIgJCQELp06ULnzp0ZOnSo7ThCCCFEkiQtKZIOZ2pJERMDOXKYrgFhYbbTJKxdu3bh7e1NbGwsK1asoHTp0rYjOQ+tTU/i2bPNP5TffjOb1AUEmMJTtWqQIoXtlEKIR7lzxxRs7s08Pn8e0qQxKwIaNjSv8nUcZ/v378fX15eLFy+yYMECqlWrZjtSgvLzg3374JdfzH6MzuJJ7r+d6D9LiGcXFhZGly5deO+99xg8eLDtOEIIIYQQwoFs3mwmoLn6RNuNGzdSuXJlUqZMyYYNG6RYHFd790LPnlCgAJQrB+PGQdmyMHeu+YcTGmpmGEuRSQjHlzw5VK0K48fD2bNmpUDz5rBhA9SubZ4edugAUVHmIZF4pGLFirF582by58+Pn58f06ZNsx0pQQUFwcmT5r7BVUnBWCQZGzZsoHHjxrz55ptMmzYNN2d6DCSEEEIIIRLcokWm1ufraztJwomIiKBatWpky5aNjRs3UqRIEduRHNvp0zBgABQvDiVKwODBUKgQTJkCv/9uZia+956ZmSiEcE7Jkpll4qNHm6/5iAizMd7EifD66+brf9Ags9OZ+E85cuTghx9+oFKlSjRr1owBAwbgql0NAgJMtxNXbkshFTORJBw8eJCAgADy58/PokWLSJUqle1IQgghhBDCgWhtan9vv232Q3JFs2fPJiAgAA8PDzZs2EDu3LltR3JMd+7AwoVmzXGePNCrl+k/PHq0mYm4ciU0awYZM9pOKoSIb8mSmaeGc+bAuXNmBvLzz0P37pA7N3h7m9UE0u/4oTJkyEBERAQNGzakV69etGvXjtjYWNux4l369OZHRFiYaWfliqRgLFzeuXPn8PX1JUWKFERGRvLCCy/YjiSEEEIIIRzM/v1w/LjZA8kVjR07loYNG1KhQgXWrl1L1qxZbUdyPIcOwSefwEsvmb4ku3ZBjx5w7JhZpt6undkgSwiRNGTMaDa03LgRjh41D48OHza7or74IrRsCT/8AC5YEH0WKVKkYPr06XzyySeMGzeOli1bEuOCVdWgILPQxFX3LpOCsXBpV69exc/Pjz///JPly5eTN29e25GEEEIIIYQDWrQIlIKaNW0niV9aa/r160e7du3w9/cnMjKS9K46hfppXLsGU6fCG2+AhwcMHw7ly8OyZXDiBPTrZ3oWCyGStoIF4Ysv4OefTb/jd98100srVTLn+vc3M5IFAG5ubgwaNIg+ffowdepUmjVrRnR0tO1Y8ap6dXjuOddtSyEFY+GyoqOjqVevHrt37yYsLEw28xBCCCGEEP9p0SKzj9mLL9pOEn9iY2P5+OOP+eyzz2jcuDELFiwgderUtmPZpzVs3QqtW0P27Gajq/PnTY/SU6dMbxI/P7M0XQghHuTmZvodT55sCsQzZkC+fPDpp5Arl5l2un69bJQHKKX4/PPP6devHzNnzqRx48bcuXPHdqx4kyaN6WW8YAHcvm07TfyTgrFwSVpr2rZtS0REBOPGjaN69eq2IwkhhBBCCAd16hRs3+5a7Siio6Np0aIFw4cP58MPP2Tq1KkkT57cdiy7Ll82fYhLloSyZU2hp04ds6T80CHo2tW1nhgIIRJW2rSmPcWaNeZ7SPv2psd55cpmo7zRo+Hvv22ntK5Xr14MHjyYOXPmUL9+fW67UHW1fn24eBFWr7adJP5JwVi4pAEDBjBx4kR69erF+++/bzuOEEIIIYRwYIsXm1dXKRjfuXOHoKAgpk2bRt++fRk+fDhubkn4V7+jR6FjR9ObuEMHSJECvvkGfvvNtKN4803Tj0QIIZ5W4cIwbBicOWNmH6dJY77f5Mxp+iDv3Gk7oVWffPIJw4YNY8GCBbz33nvcunXLdqR4UbWq2RPRFdtSJOG7BuGqZsyYwaeffkrjxo358ssvbccRQgghhBAObtEi07725ZdtJ3l20dHRNGrUiAULFvD111/Tu3dvVFIshsbGmpl+fn7mf+y4cWbt8JYtEBVl2lFkyGA7pRDC1aRJY9rcbNtmRr16MHMmvPYaeHnB9Olw86btlFZ06tSJ0aNHs3jxYurUqcNNF/h7SJHC7JG6aBFcv247TfySgrFwKWvWrKFFixa8/fbbTJo0KWneHAshhBBCiDi7eNHscO4Ks4tjYmJo2rQpYWFhDBkyhI8++sh2pMR35QqMGQNFi4KPj+k10qcPnDxpWlCUKWM7oRAiqfD0hG+/NbOOhw2DCxegaVMz67h7d3M8iWnXrh3jx48nIiKCgIAAbty4YTvSMwsKgqtXISLCdpL4JQVj4TL27t1LnTp18PDwYMGCBaRIkcJ2JCGEEEII4eCWL4eYGOcvGMfExNCiRQtmzZrFgAED6NKli+1IievYMejUybSdaN/ezB6eOdMUij//XHoTCyHsef558/3p0CHT77hyZRgyxGyW17Qp7NljO2GiCg4OZvLkyaxevRp/f3+uXbtmO9IzqVwZXngBli2znSR+ScFYuITTp0/j6+tLunTpiIiIIIMsLxNCCCGEEHGwaBHkyGEmgjmr2NhYgoODmT59On379qVHjx62IyUOrU3xxd/ftJ0YOxZq1IDNm03riYYNzXphIYRwBEpBlSqwYIHprd6mjXm7ZEmoVg1WrTLf15KA5s2bM336dNatW0f16tW5cuWK7UhPzd0d3nnH9f73ScFYOL2///77/7/BRERE8NJLL9mOJIQQQgghnMCNG7BihWlt66x7wmmtadu2LZMnT+azzz6jd+/etiMlvJgYU2QpU8b8lh4VBb17w4kTZlZx2bK2EwohxKPlzw8jR5pVEAMGwL594O1tisfTpsHt27YTJrhGjRoRGhrKjz/+iI+PD5cvX7Yd6al5e5t9VPfutZ0k/jjpbZEQxu3bt6lbty4HDx5k4cKFlChRwnYkIYQQQgjhJNasgWvXnLcdhdaaDh06MH78eLp3707fvn1tR0pYt26ZfqBFi8K778KlSzBhgikU9+kD2bPbTiiEEE/mhRegRw/45ReYMsVMUW3WzLSrGDTINNp3YUFBQcydO5etW7fi5+fHdSfdOa5aNfO6apXdHPFJCsbCaWmtef/991mzZg3ffvstb7/9tu1IQgghhBDCiSxaBOnTm/6DzkZrzUcffcSYMWPo3LkzAwYMcN0Nn69cgZAQMyOvVSt47jkICzP9QN9/H1KmtJ1QCCGeTcqUplC8Z49Z+lK0qNkYL1cu0//49GnbCRNM3bp1mTVrFj/99BN169blthPOrn7pJShWDFautJ0k/kjBWDit3r17M336dL788kuaNGliO44QQgghhHAiMTGwZAn4+Tlfm1utNV27dmXEiBF07NiRIUOGuGax+Px5+OwzyJ0bunSBIkXM9K2oKAgMNI0jhRDClShl+husXg07d0KdOjBmDBQoAB98YFZUuKDAwEDGjx/PihUraNy4MTExMbYjPTFvb9iwAZx0kvS/SMFYOKWJEyfSr18/WrVqRa9evWzHEUIIIYQQTmbTJlOPdLZ2FFprevXqxdChQ2nXrh3Dhg1zvWLxiRPQoQPkyQP9+5tNorZsMT1EqlY1BRUhhHB1pUrB9Olmg7zmzU1LnoIFzUqL48dtp4t3rVq1YujQoYSFhdGmTRu0k+0gV62a6Zy0fr3tJPFDCsbC6URGRvLBBx/g4+PDuHHjXO8GWQghhBBCJLjFi83MYh8f20meTL9+/Rg4cCDBwcGMHDnSte6FT52CNm2gUCEYPx6CguDAgfsb3AkhRFKUNy98840pErdpYzb3LFwYmjaFI0dsp4tXnTt3plevXkyaNImuXbs6VdG4YkVIlcp12lJIwVg4le3btxMYGEiJEiUICwsjWbJktiMJIYQQQggntGYNVKhgehg7i/Hjx9O7d2+aNGnCuHHjcHNzkV/nzpyB9u3NzLnJk01f4uPHzdtFithOJ4QQjiFXLhg1ymyQ9+GHMG8eeHhAgwbm4ZqL+PLLL2nXrh1Dhw5l4MCBtuPEWerUpmjsKhvfucgdhkgKfv31V/z8/MicOTPLly8nXbp0tiMJIYQQQggndPEi7NrlXJvdLVq0iLZt21K9enUmTZrkGsXic+fMZk4FCpgZxc2awbFjpl9nrly20wkhhGPKnh2+/hp+/dX0d1+yBIoXh/feg717bad7ZkopRo4cSaNGjejVqxfjxo2zHSnOvL3h4EGzYMbZucBdhkgKLly4gK+vL7du3SIyMpLs2bPbjiSEEEIIIZzUhg2gNbz1lu0kcfPDDz8QFBTE66+/TlhYGMmTJ7cd6dn88Qd07gz588Po0dCwoVlWPX682eBOCCHE42XNCoMGmcJxz56wYgWULGm+pzp5j2M3NzcmT55MjRo1aNeuHaGhobYjxYm3t3l1hbYUUjAWDu/mzZvUqlWLn3/+mcWLF+Ph4WE7khBCCCGEcGJr15o+g87QFnfv3r3UrFmTvHnzsmzZMtKmTWs70tP780/o1g3y5YPhw81suEOHzEZO+fLZTieEEM4pc2bo188Ujrt1g/Bw086nbVv47Tfb6Z5a8uTJCQsLo3LlyjRt2pSlS5fajvRYRYtCzpxSMBYiwcXGxtK0aVM2bNjAtGnTqFixou1IQgghhBDCya1bB+XLQ8qUtpM82okTJ/Dx8SFt2rSsXLmSzJkz2470dK5dgy+/NEXhIUOgdm2zZnfqVNO3WAghxLN74QUYONDMLn7/fZg40bT86dHD9GJyQqlSpWLx4sW89tprBAYGsm7dOtuRHkkpqFYNvvsOoqNtp3k2UjAWDq1r166EhYUxePBggoKCbMcRQgghhBBO7sIF2L3b8fsX//XXX3h7e3Pt2jVWrFhBnjx5bEd6ctHRps1EwYLQu7f5LXrfPpg5E15+2XY6IYRwTdmzw9ixZgVH7dqmbUX+/PDVV3D9uu10TyxdunRERkZSoEABatWqxQEH3+DP2xsuXYJt22wneTZSMBYOa9SoUYSEhNCuXTu6dOliO44QQgghhHABP/zg+P2Lr127hr+/P7/++itLlizhlVdesR3pyWgNixbBK69AmzZmhtuPP8KCBWa9rhBCiIRXoACEhppdXt94w8w0LlDAFJNv37ad7olkypSJyMhIUqdOTfXq1Tl37pztSP/pnXfMTONVq2wneTZSMBYOKTw8nI4dOxIQEMCIESNQStmOJIQQQgghXMC6dZA6Nbz+uu0kD3fnzh3q1avH1q1bmT17tvO1ZNu0Cd5808xqu1c43rDB9AARQgiR+EqUgKVLYeNGKFQI2rWDYsXM92etbaeLs9y5c7Ns2TLOnz9PjRo1uHbtmu1ID5Upk7nHcPY+xlIwFg5n06ZNNGjQgDJlyjBr1izc3d1tRxJCCCGEEC5i7VrH7V+staZ169YsX76csWPHUrt2bduR4u7wYahb1/zlHj9uWlHs2wcBAWaqlRBCCLsqVID162H5ckie3DzYq1IFdu60nSzOSpcuzZw5c9ixYwcNGzYkJibGdqSHqlYNtmwxrSmclRSMhUM5evQoNWrU4KWXXmLp0qWkSZPGdiQhhBBCCOEi/voL9uxx3HYUAwYMYMqUKfTu3ZvWrVvbjhM3Fy5Ahw5mttqqVfDFF3DsGAQHQ7JkttMJIYR4kFJQvbr5YThmjHmwV7o0tGgBZ8/aThcnNWrUYMSIESxevJjOnTvbjvNQlStDbKwpGjsrKRgLh/HHH3/g6+uLUorIyEiyZMliO5IQQgghhHAhP/xgXh1xw7v58+fz6aef0qhRI/r06WM7zuNFR5tiQ6FCph9mcLCZWfzZZ5A2re10QgghHiVZMmjbFo4ehc6d729G+uWXTrExXvv27enUqRMjRoxg5MiRtuP8S5ky4OZmujQ5KykYC4dw/fp1atSowdmzZ1m6dCkFCxa0HUkIIYQQQriYtWshTRrH618cFRVFkyZN8PLyYuLEiY6/f8f338Orr0L79lCqlNlQaexYyJrVdjIhhBBPImNGGDIEDh4EHx/o3RsKFzYF5NhY2+keaejQodSqVYtOnTqxePFi23H+R7p0ULy4FIyFeCYxMTE0aNCAbdu2MWvWLMqVK2c7khBCCCGEcEHr1pkWjilS2E5y35kzZwgICCBLliyEh4eTKlUq25H+2y+/mD7Fb78N167BwoXw3Xfwyiu2kwkhhHgWBQrA/PlmKc6LL0LjxuDlBVFRtpP9J3d3d0JDQ/H09KRBgwZEOVhWLy/TksLB6+7/SQrGwiqtNR07dmTx4sWMHDmSWrVq2Y4khBBCCCFc0J9/wt69jtWO4vr16wQEBHD58mWWLVtGtmzZbEd6uKtXoVcv8PCAFSugf384cMBsmOTos6GFEELE3ZtvmirntGlw4oTprdCmjdkEwAGlSZOGpUuXkjVrVvz9/Tlx4oTtSP/Pywv+/ttM3nZGDlEwVkoFKqX2K6VilVKe/zjXQyl1TCl1WCnl/cBxn7vHjimluid+ahEfhg4dypgxY+jSpQvt27e3HUcIIYQQQrio9evNq6MUjGNjY2nSpAk7duxg9uzZvOKIs3S1hrlzzfLkAQMgMBCOHIGePcGRZ0ILIYR4em5u0KQJHD4MHTvCpEnm58CkSQ45XTZbtmxERERw8+ZNAgICuO4gPZi9vMyrs7alcIiCMbAPqAP88OBBpVRRIAgoBvgAY5VS7kopd2AM4AsUBerfvVY4kTlz5tC1a1fq1avHoEGDbMcRQgghhBAu7KefTI3T0/Px1yaGzz//nAULFjB06FD8/f1tx/m3o0fB2xuCgszy5J9+ghkzIGdO28mEEEIkhgwZYNgw2LkTihaF99932DYVHh4ezJkzhz179tCiRQu01rYjUagQZMokBeNnorU+qLU+/JBTAcAcrfUtrfUvwDGgzN1xTGv9s9b6NjDn7rXCSaxfv56mTZtSsWJFpk6dipubQ/xTFEIIIYQQLioqyuzP5gj9i0NDQ+nXrx8tW7bko48+sh3nf928CX37mr7EW7bA6NGwdev9qVJCCCGSlldeMct0Zsxw6DYVPj4+DBw4kLlz5zJkyBDbcVAKypWTgnFCyQmceuD903eP/dfxf1FKBSulopRSUefPn0+woCLuDhw4QK1atcifP7/jb+whhBBCCCGcXkwM7NjhGLOLt2zZQsuWLalUqRJjx45FOVIP4NWrTWGgTx+oUwcOHYJ27cDd3XYyIYQQNikFjRr9u03F9OmmfZGDuLeKvXv37qxYscJ2HLy8TA/jixdtJ3lyiVYwVkp9p5Ta95DxqJnBD7t70o84/u+DWk/QWntqrT2zZMnyNNFFPDp79iy+vr6kSpWKyMhIXnjhBduRhBBCCCGEiztyxOzbZrtg/Pvvv1O3bl1y5MjBggULSOEI050Bzp41rSeqVTNFgdWrYdYsyJ7ddjIhhBCO5ME2FYULQ9OmULUqHDtmOxkASim+/fZbSpQoQVBQEEePHrWa597inC1brMZ4KolWMNZav6O1Lv6QsfgRf+w0kOuB918Czj7iuHBgV65cwc/Pj7/++ovly5eTN29e25GEEEIIIUQScK/dos2CcXR0NEFBQfz1118sXLiQTJky2QtzT2wsjBsHRYrAokWmFcWePfDOO7aTCSGEcGSvvAIbNsDYsbBtm3l/4EC4c8d2MtKmTcuiRYtIliwZAQEBXLlyxVqWMmXMHoLO2JbC0VtSLAGClFIplVL5gELAVmAbUEgplU8plQKzMd4SiznFY9y5c4fAwED27t3LvHnzeO2112xHEkIIIYQQSURUFKRJY+qitnTv3p1169Yxfvx4SpUqZS/IPYcPQ+XK0LYtlC0L+/ZB795mZ0AhhBDicdzc4IMPTM8FPz/o2RNKl4bNm20nI2/evMybN48jR47QuHFjYmNjreR47jkoUUIKxk9NKVVbKXUa8AKWK6VWAmit9wNhwAFgBdBOax2jtY4G2gMrgYNA2N1rhQPSWvPBBx+wcuVKvvnmG3x9fW1HEkIIIYQQD6GU8lFKHVZKHVNKdX/I+YpKqR1KqWil1Ls2Mj6NqCh47TV7rXjDwsIICQmhbdu2NGnSxE6Ie+7cga++gpIlYe9emDIFVq2CggXt5hJCCOGccuSA+fPNSpULF6B8eejQAS5fthrrrbfe4uuvv2bx4sV88cUX1nJ4eZmWFJZq1k/NIQrGWutwrfVLWuuUWutsWmvvB87111oX0FoX1lpHPnA8Qmv98t1z/e0kF3HRr18/vv32Wz799FNatWplO44QQgghhHgIpZQ7MAbwBYoC9ZVSRf9x2UmgGTArcdM9veho2LXLXjuK/fv306JFC7y8vBg2bJidEPfs2GHWx/boAf7+ZlZYs2amb7EQQgjxLAIC4MABaN8exvxfe3ceZ2P5/3H89bEmkayJlm+FZIlv0qKkjQbRwjelRZSUtfANibEkIb75NYhIKRGl7KWkzRIlFUWWEgpZK9sw1++P60xNmuHMzFnN+/l4eJw559z3dX3mvu8z7vtzrvtzJUGlSvDOO1ENqX379rRo0YI+ffowe/bsqMRw+eU+d/7tt1HpPstiImEsJ66XXnqJXr16cc8990T1Gx0REREROa6awFrn3Hrn3CFgEvC3Caqdcz84574C4maczHffwb590UkY79mzh1tvvZWCBQsyZcqU6E1yt3+/TxLXrAm//AJvvOFHg51+enTiERGRE1PhwjB8uK/BUKgQ3Hgj3H8/7NkTlXDMjJEjR1KtWjXuvvtuNm7cGPEYUiuyrlgR8a6zRQljCZt58+Zx//33c/311zNmzBhMIxdEREREYlkZ4Kc0zzcFXotr0ZrwzjlHixYtWLduHa+//jplykRpUy5ZAtWr+zIULVr40V+33hqdWEREJGe49FJ/V0u3br70UeXKMHduVEI56aSTmDJlCsnJydx+++0cOnQoov2XLw/58vlHHnxyAAAgAElEQVQ5ZeOJEsYSFitWrOC2226jYsWKTJ06NXqjKSLpwAF/Ip56VSIiIiISX9L7dt9lqSGz1ma2zMyWbd++PZthZc+yZX6QU7lyke138ODBvPXWWwwePJirr746sp0DHDzoJyC64go/xPrdd+GFF+C00yIfi4iI5DwnnQRPPeVHGxcuDAkJ0KoV7N4d8VDOP/98xo0bx+LFi+nW7R9TNIRV3rxw4YVKGIvw008/Ub9+fQoXLszs2bM59dRTox1SeDkHb7/t6/N07+4LvYuIiIjEn03AmWmelwW2ZKUh59xo51wN51yNEiVKhCS4rEqd8C5XBK98Fi1aRI8ePWjSpAmdOnWKXMepli+HSy7xF+otWvjJ7W64IfJxiIiI1KwJn3/u8yUvvRS10cZNmjShQ4cODBs2jDfffDOifVetqoSx5HC7d++mfv36/P7778yZM4eyZctGO6TwWrkS6tWDm2/23569+y707x/tqERERESyYilQzsz+ZWb5gGbA9CjHlC3JyZGf8G7Xrl00a9aMs846K/Jl2ZKToV8/f3G+fTvMnAljx8KJPoBDRERi20knwYABsHgxFCniRxs//DD88UdEwxg8eDA1a9bkvvvuY926dRHrt2pV2LwZduyIWJfZpoSxhMyhQ4e47bbbWL16NW+++SZVqlSJdkjhs3MndOgAF10ES5f6ou5ffqmRGyIiIhK3nHOHgXbAO8C3wOvOuZVm1tfMGgGY2SVmtgloCjxvZiujF/HxrV3rKzNcdFFk+nPO0bJlS7Zs2cKkSZMoUqRIZDoGP/365ZdDr17QtCl88w00aBC5/kVERI6nRg1/60+XLjBqlK+xv2RJxLrPly8fkydPJnfu3DRt2pQDBw5EpN/U9NjXX0eku5BQwlhCwjlHq1atmD9/PmPHjuW6666LdkjhcfgwjBzpq5YnJUHr1vD999C+vS9MIyIiIhLHnHOznXPlnXPnOeeeDLzWyzk3PfDzUudcWedcQedcMedcpehGfGyrVvnHShGKMikpibfeeouBAwdSs2bNyHTqnD8v/fe/4YcfYMoUmDgRihWLTP8iIiKZcdJJMHgwzJ/vv9WtVQt69/Z3yUTAOeecw8svv8zy5ct59NFHI9Jn1ar+MZ7KUihhLCHRs2dPXnnlFfr378/dd98d7XDC44MP4OKL/W0TVar42nAjRkDx4tGOTERERETSsWoVmMEFF4S/r+XLl9O5c2caNGjAI488Ev4OAbZuhYYNoV07qFPHjypu0iQyfYuIiGRHnTo+g9q8OfTt6ydpXb06Il03bNiQLl26MHLkSN5+++2w91eqFJQooYSx5DCjR49mwIABPPDAA/To0SPa4YTehg3+xPvaa2HPHpg61X8TlvoVkYiIiIjEpFWr4Jxz4OSTw9vPb7/9xu23306JEiUYP348uSIxw97MmX4Qw/vv+/Jos2fD6aeHv18REZFQOfVUPxHelCmwfr0vUTF6tL97JsyefPJJ/v3vf9OyZUs2b94c1r7M4m/iOyWMJVtmzZrFQw89RP369RkxYkRkJ/UItz/+gCeegIoVYc4cP4HIt9/Cbbf5T7uIiIiIxLRVq+DCC8PfT9u2bVm3bh0TJ06keLjvPtu3Dx56CG66CUqX9jPPt2+v81MREYlfTZr4u2SuvBIefNA/37kzrF3my5ePiRMncuDAAe655x5SUlLC2l/Vqv5XPHIkrN2EjBLGkmXLli3jP//5D9WrV2fy5MnkyZMn2iGFhnO+7luFCtC/v08Qr14NPXtCgQLRjk5EREREgnD4sD+FC3fCePLkyUyYMIFevXpRu3bt8Hb29dd+wqBRo/yEQZ99FrkCzSIiIuFUujTMnevrG8+Y4Wes/fDDsHZZoUIFhg8fzvz58xkyZEhY+6paFfbv9xPyxgMljCVLNmzYQIMGDShZsiQzZ87klFNOiXZIobFsmf9Gq3lzf0vfJ5/Aq69C2bLRjkxEREREMmHDBj+XTsWK4etj06ZNtGnThssuu4zHH388fB05B88/DzVr+hFX8+b5C+r8+cPXp4iISKTlyuW/EF240E+Od+210KuX/xY4TFq2bEmTJk14/PHHWbZsWdj6Sf1+99tvw9ZFSClhLJm2Y8cOEhISSE5OZs6cOZx+ItRK++UXaNXKn4SvXQtjx/oRG7VqRTsyEREREcmC1AuycI0wTklJ4d577yU5OZkJEyaE72673bvh9tuhTRu4+mpYsQKuvz48fYmIiMSCGjXgiy/g7rt9edCrr4affgpLV2bG6NGjKV26NHfeeSe///57WPopV84/fv99WJoPOSWMJVMOHDhA48aN+eGHH5g+fToXRGLK6XA6dAiGDIHy5WHCBOjc2X96W7b032yJiIiISFxatco/hmuE8f/+9z/mz5/Ps88+y/nnnx+eThYv9hMATZsGgwb5ie1KlQpPXyIiIrGkUCEYP96XDP3qK6hWDWbNCktXp512Gq+88gpr167l0UcfDUsfRYpAiRKwZk1Ymg85ZcQkaCkpKdxzzz0sXLiQCRMmcOWVV0Y7pKxzzv+hqVwZunaF2rV99fHBg6Fw4WhHJyIiIiLZtGqVryoWjlO7r776iu7du3PzzTfTsmXL0HfgHAwdCldd5Z9//LE/Z9WABhERyWnuuMOPNj7zTGjYEB57DJKTQ95N7dq16dq1K2PGjGH27Nkhbx/8KGONMJYTTteuXZkyZQpDhgyhadOm0Q4n6777DurX939ocuXyIzVmzvSjjEVERETkhPDttxCOm+EOHjzIXXfdRdGiRRkzZgxmFtoOdu/2ky537gw33QTLl8Nll4W2DxERkXhSrpy/6+ahh/wdN3XqhKVERd++falcuTL3338/O3fuDHn75csrYSwnmOHDhzN06FA6dOjAI488Eu1wsmb3bnj0UahSxRdQHzrUzzSdkBDtyEREREQkxNavh3BUikhMTOTrr79m3LhxFC9ePLSNf/EFXHyxnx1+6FB44w1/D6uIiEhOd9JJMGIETJrkcznVqsE774S0i/z58/Pyyy+zfft22rVrF9K2wee9t2yBP/4IedMhp4SxHNebb75Jp06duOWWWxg6dGjoR1GE25EjMGaM/yrnf/+DFi38VzqPPAJ580Y7OhEREREJsd27YedOOPfc0La7ZMkSBg0axP33309CKAcdOAfPPw9XXOHn2PjwQ3+uGm/n3SIiIuF2++3w+ee+7lRCAvTpAykpIWu+evXq9O7dm9dee40pU6aErF34a+K7tWtD2mxYKGEsx7Rw4UKaN2/OpZdeyquvvkru3LmjHVLmfPSRn12zdWuoUMH/URkzBkqWjHZkIiIiIhImGzb4x1AmjA8cOECLFi0oU6YMzzzzTOga3r8f7rsP2rTxt9guX+4TxyIiIpK+cuVg0SK4+25ITIQGDWDHjpA1361bNy655BIeeughfvnll5C1m1oJNR4mvlPCWDK0Zs0aGjVqRNmyZZk+fToFChSIdkjB27jRf+t09dX+j8akST55XL16tCMTERERkTBbv94/hjJh3KtXL7777jvGjh1L4VDNpLdhA9SqBS+9BL17+7k1Ql3mQkRE5ER08skwfjyMGgXz5/uSTsuWhaTpPHny8PLLL/PHH3/Qpk0bnHMhaTe1VFY81DFWwljStW3bNhISEjAz5syZQ4kSJaIdUnD27fPfLlWoANOn+xPv777zyWPd0iciIiKSI4Q6Ybxo0SKGDBlC69atueGGG0LT6Dvv+IvbDRv8BMyJiX5CZhEREQmOGTz4IHzyiS/vdOWVPokcAhdccAH9+vXj7bff5vXXXw9JmwULwhlnqCSFxKk//viDhg0b8vPPPzNz5kzOD8dsIaHmHEye7KfC7tMHGjWC1av9iffJJ0c7OhERERGJoPXroWhROPXU7Ld14MAB7rvvPs466yyGDBmS/Qadgyef9HUXy5b1o6EaNMh+uyIiIjnVJZf4EqRXXunLPLVrB8nJ2W62U6dOXHLJJbRv357t27eHIFA4+2x/U3ysU8JY/ubw4cPccccdfP7557z22mtceuml0Q7p+JYv96UnmjWDYsX8JCGTJ8NZZ0U7MhERERGJgg0bQje6uF+/fqxevZoxY8ZQqFCh7DX2++/QtCn07OnPXRctgvPOC02gIiIiOVnx4jB3LnTpAklJcN11sHVrtprMkycP48aNY/fu3XTs2DEkYZ51lhLGEmecc3To0IEZM2YwfPhwGjduHO2Qjm3bNj+Z3cUXw7ff+pmlly2D2rWjHZmIiIiIRNH69aFJGK9YsYJBgwbRokWL7JeiWL/eT2Y3bRoMGQKvvurvTRUREZHQyJMHBg+GiRN9fujii2Hp0mw1WblyZXr27Mlrr73G9OnTsx1iasI4RGWRw0YJY/nToEGDGDlyJF27dqVt27bRDidjhw7BsGF+eskXX4SOHX3F8NatIXfuaEcnIiIiIlHknL8QO/vs7LVz+PBh7r//fooWLcozzzyTvcbef9/fLrtpE8yZA507a34NERGRcLnjDn8XT548flDhxInZaq5bt25UrVqVNm3asGfPnmy1ddZZcPCgHwMZy5QwFgAmTpxIt27daNasGQMHDox2OBmbOxeqVoVHH4XLLoOvvvLJ4yJFoh2ZiIiIiMSAHTv8hVjZstlrZ/jw4Sxbtoz/+7//o2jRollrxDl47jmoVw9Kl/ajnOrWzV5gIiIicnwXXeT/361ZE5o3h+7d4ciRLDWVL18+xo4dy9atW+nRo0e2wkqtnhrrZSmUMBYWLFhAixYtqF27NuPHjydXLM7OvGYNNGzoJwc5cgRmzPCjMypWjHZkIiIiIhJDNm3yj2XKZL2NDRs20LNnTxo1akTTpk2z1khyMjz8MLRvD/Xrq16xiIhIpJUoAfPmwYMPwsCBcPPNsHdvlpqqUaMG7du3Z+TIkSxatCjLISlhLHFh5cqV3HzzzZx//vm89dZb5M+fP9oh/d2ePdC1K1SuDB995GvRrFzpk8e6jU9EREREjrJ5s3/M6ghj5xzt2rUjd+7cJCUlYVk559yxw48qHjUKHnvM1y3O7oR5IiIiknn58vn/j5OS/MDDWrXghx+y1FS/fv0oU6YMrVu3Jjk5OUttKGEsMW/Lli0kJCRQoEAB5syZw2mnnRbtkP6SkgLjxvk6xc88A3ff7esUd+niP+wiIiIiIunI7gjjN954g9mzZ9OvXz/KZiXrvGaNL5326afw8st+RJPm2RAREYmuhx/2ZU5/+gkuvRQWLsx0E4UKFSIpKYlvvvmGIUOGZCmM006DAgX+Ol+JVUoY51C//fYbDRo0YNeuXcyePZuzszsrSCgtXOhrzLRqBeefD599BmPHQqlS0Y5MRERERGLc5s2QKxecfnrm1927dy8dO3akevXqtGvXLvMNLFjgk8V79sAHH/hBDyIiIhIbrr8eFi/2d/1cc02WJsNr1KgRt956K3379mXDhg2ZXt/MT2vwyy+ZXjWilDDOgZKTk2nSpAlff/01U6dOpXr16tEOydu0yRcir1XLf3JefRU++QRq1Ih2ZCIiIiISJzZv9sniPHkyv+4TTzzBzz//zKhRo8iT2QZefBFuuMF3vmQJXHFF5gMQERGR8LrgAv//9OWX+xxUv35+ktpMePbZZ8mdOzcdO3bMUginn66EscQY5xwPPvgg7777LqNHj6ZevXrRDgn274f+/aFCBXjjDejZE1avhjvvVJ1iEREREcmUn3/O2ujiL7/8kueee46HHnqImjVrBr+ic/78tWVLP1pp4UL4178yH4CIiIhERrFi8O67cM890KsXtGgBhw4FvXrZsmVJTExkxowZTJ8+PdPdly7tz1diWUwnjM0s0cw2m9mXgX/107zX3czWmtlqM4uBrGd86Nu3Ly+++CK9evWiZcuW0Q3GOZ8gvvBCeOIJSEiA777z3+4ULBjd2EREREQkLm3blvlKZikpKbRt25ZixYrRv3//4Fc8eBDuuguefBLuvx9mzYIiRTLXuYiIiERevnwwfjz06ePnHKhXD3bvDnr1jh07UqlSJTp06MC+ffsy1bVGGIfGMOdctcC/2QBmdiHQDKgE3AiMMDPNJHEcL774IomJibRo0YLExMToBvPVV3DdddCkia8dM38+TJ0K55wT3bhEREREJK5lJWE8YcIEFi5cyNNPPx38RNC7dvmLy4kTYcAAGD0a8ubNfMAiIiISHWZ+hPGECX6y2lq1YOPGoFbNmzcvI0eO5Mcff+Spp57KVLelS/vTiAMHshJ0ZMRDwjg9jYFJzrmDzrkNwFogE/eN5TzvvvsurVu35oYbbmD06NFYtEo9/Pqrn5myenWfNB45Er74wt++JyIiIiKSDc7B1q1QsmTw6+zevZuuXbty+eWXc++99wa30saN/qJy0SI/70b37iqlJiIiEq/uugveecdPhHDZZbB8eVCrXXXVVTRv3pzBgwezbt26oLtL/WJ727asBBsZ8ZAwbmdmX5nZODNL/bq/DPBTmmU2BV77BzNrbWbLzGzZ9u3bwx1rTPryyy+57bbbqFSpElOnTiVvNEY+JCfD8OFQrpwffdG2LaxZA23aZG1GEhERERGRo+zd60sQZiZhnJiYyK+//kpSUhK5cgVxebRihb+Y3LLFX1zeeWfWAxYREZHYcM01fpRxnjxw9dXw3ntBrTZo0CDy5s3LI488EnRXxYv7xx07shJoZEQ9YWxm75nZN+n8awyMBM4DqgE/A8+krpZOU+lOaeicG+2cq+Gcq1GiRImw/A6xbOPGjdSvX58iRYowa9YsChcuHPkg5s2DatWgY0eoUcOfZA8fDkWLRj4WERERETlhpY7UCfa0f9WqVTz33HO0bt2a6tWrH3+F+fPhqqsgd2745BOoUyfLsYqIiEiMqVQJFi/2k9cmJPi7iI7jjDPO4IknnmDGjBnMmTMnqG5SE8a//pqdYMMr6glj59z1zrnK6fx72zm31Tl3xDmXAozhr7ITm4Az0zRTFtgS6dhj3e7du6lfvz779u1jzpw5lCmT7iDs8Fm3Dho3hrp1fWGWt97ys1BWqhTZOEREREQkR0gdqZN6IXYszjk6depEoUKFgpvo7vXX/cXjWWf5UhSVK2cvWBEREYk9Z5wBH30EV17pS1U888xxV+nUqRPlypXjkUceITk5+bjLK2GcTWZWOs3TW4BvAj9PB5qZWX4z+xdQDvgs0vHFsoMHD3LLLbewZs0apk2bRuVIntD+9puv43bhhX4UxsCBsGqVTx6rtpuIiIiIhMnOnf6xWLHjLztz5kzmzZtHnz59KH68DPNzz0GzZlCzJnz8MZQtm/1gRUREJDadeirMnQtNm0KXLtC1K6SkZLh4vnz5GDp0KKtXryYpKem4zaeep8RywjjWi8cOMrNq+HITPwAPAjjnVprZ68Aq4DDQ1jl3JGpRxpiUlBRatmzJggULeOWVV7gmUhPKpaTAK69At27w889w771+xugzzohM/yIiIiKSo+3a5R+PV/ns0KFDdO7cmQsuuICHHnoo4wWdg8RE6NvXD3547TUoUCBk8YqIiEiMyp/f/79fsiQMGeLrXr3wAmQwL1iDBg2oW7cuiYmJ3HXXXcf8Mjr1PCWWaxjHdMLYOXf3Md57EngyguHEjccff5yJEycyYMAAmjdvHplOlyzxNYqXLPEjL6ZNg0svjUzfIiIiIiL8NcL4eAnjpKQkvv/+e2bNmpXxhNApKdC+PYwYAS1bwvPPa7JmERGRnCR3bvi//4NSpaBXL//N9OTJ6X55bGYMGzaMqlWrkpiYyHPPPXfMZgsXht27wxl89sR0SQrJvFGjRjFw4EAefPBBunXrFv4Ot2zxI4kvuww2boSXXvI13ZQsFhEREZEIS00Yn3pqxsvs2LGDvn37UrduXRISEtJfKDnZ1y0cMQL++18/okjJYhERkZzHDJ54ApKSYOZMuPFG2Ls33UUvvPBCWrduzahRo/juu++O2WyRIkoYS4TMmDGDtm3b0rBhQ5577jksnPWCDxyAp56C8uVh0iRfs3j1arjnHsilw0pEREREIm/vXihY8Ni53f79+7N3716eeeaZ9M+X9++HW27xt6EOHAhPP615OERERHK6hx+GV1+FhQvh2mszLECcmJhIwYIF6dq16zGbU8JYImLp0qU0a9aMiy++mEmTJpEnXCMgnIO33oJKlaBHD7jhBj+h3YABUKhQePoUEREREQnCnj3HHl28du1akpKSaNWqVfqTQu/dCwkJMHu2L0Hx2GPhC1ZERETiyx13+JzYypVQuzZs3vyPRUqWLEmPHj2YOXMmCxYsyLApJYwl7NatW0eDBg0oVaoUM2bMoGDBguHp6JtvfIL4llt8vZZ583yt4vPOC09/IiIiIiKZcLyEcY8ePciXLx99+vT555s7d8L118Onn/oRRK1bhy9QERERiU8NGsDcubBpE1x1Faxf/49FOnTowJlnnkmXLl1ISUlJt5lCheC338IdbNYpYRznfv31VxISEjhy5Ahz5syhVKlSoe9k504/4Ue1avDFFzB8OHz5pT+hFhERERGJEb/9lvFNb0uWLGHKlCl06dKF0qVL//3NrVuhTh1YsQLefNOPIBIRERFJz9VXw/vv+2+qa9f2JVrTKFCgAE8++SSff/45kydPTrcJJYwlbPbv30/jxo3ZuHEj06dPp0KFCqHt4PBhP9FHuXL+8cEH4fvvffJYk36IiIiISIz5/Xc45ZR/vu6c47///S8lS5akc+fOf39z82Z/4bd2rZ/M5qabIhOsiIiIxK9LLoEFC/xEubVr+7vy02jevDkXXXQRPXv25NChQ/9YXQljCYsjR45w1113sWjRIl599VVq1aoV2g7mz4fq1aFtW7joIj+iOCkJihULbT8iIiIiIiGSUcJ4zpw5fPTRR/Tq1YtCaYcg//jjXzUI33nHl18TERERCUaVKvDRR35QZZ06sHz5n2/lypWLgQMHsn79ekaPHv2PVQsW9OctsUoJ4zjVuXNn3nzzTYYOHcptt90WuoY3bIDbboPrrvNH7tSpfph9lSqh60NEREREJAz++ANOPvnvr6WkpNCjRw/OPfdcHnjggb/eWL/ejyzesQPee8/XIRQRERHJjAoVfNK4YEG49lr47LM/36pXrx5XX301/fr14/ejssMFC8K+feBcpAMOjhLGcWjYsGE8++yzdOzYkU6dOoWm0d9/h8cfh4oVffHu/v3h22998tgsNH2IiIiIiITR/v3+Aiyt119/nRUrVtC3b1/y5cvnX1y71ieL9+71gyMuvTTywYqIiMiJ4bzzfNL4tNP83UqLFwNgZjz11FNs27aNZ5999m+rFCwIKSlw8GA0Aj4+JYzjzBtvvEHnzp259dZbeeaZZ7LfoHPwyiv+G5EBA6BJE1izxiePTzop++2LiIiIiETI/v1QoMBfz5OTk3niiSeoUqUKd6ROZPf99/620f37fRm2iy+OSqwiIiJyAjn7bPjwQyhRAurWhUWLALj88stp1KgRgwcPZufOnX8unppyO3AgGsEenxLGceTTTz+lefPmXH755bzyyivkzp07ew0uXQq1asHdd8MZZ8Cnn/rkcZkyoQlYRERERCSCDhz4+5iHl19+mbVr19K/f39y5crlk8XXXOOH88yfD9WqRS9YERERObGceaZPGpcq5ZPGCxcC0L9/f/bu3cuQIUP+XDT1C+79+6MR6PEpYRwnVq9eTaNGjTj77LN5++23KZB26ERm/fILtGwJNWv62m3jxsGSJXDFFaELWEREREQkwg4cgPz5/c8HDx6kb9++1KxZk5tuusmXoUibLK5aNbrBioiIyImnTBlYsABKl4Ybb4RFi6hSpQrNmjXj2WefZdu2bUDa85XohXosShjHga1bt5KQkECePHmYM2cOxYsXz1pDBw/C4MFQvrwfSdy1qy8/cd99kEuHgoiIiIjEr8OHfS3A1AuwsWPHsnHjRvr27YutX+/LUKQmizWhs4iIiIRLatL49NOhXj1YsoTevXtz4MABnn76aUAJY8mmP/74g4YNG7J161ZmzpzJueeem/lGnIOZM6FyZfjvf/0EHytXwqBBULhw6IMWEREREYmwQ4f8Y968cODAAQYMGECtWrWoW768H1m8f7+f4E7JYhEREQm3M86ADz6AkiWhbl0q7N3LXXfdxYgRI/jll19InYc39fwl1ihhHMMOHz5Ms2bN+OKLL5g8eTKXXHJJ5hv59ltISICbboI8eWDOHJgxA8qVC33AIiIiIiJRkpzsH/PlgxdeeIHNmzczsG1b7Npr4bff4L33VIZCREREIqdMGZ80LlYM6tal3623kpyczNNPP03evH6Rw4ejG2JGlDCOUc452rdvz8yZM0lKSqJhw4aZa2DXLujUyY+gWLwYhg2Dr77y9VNERERERE4wqRdczh1g4MCBNL7kEmr16gU7d8K8eVC9enQDFBERkZznzDN9OaxChTirVSsea9iQUaNG8dtvvwB/feEda5QwjlFPP/00o0aN4rHHHqNNmzbBr3jkCDz/vK9TPHw4tGrlZ4Pu1Ik/v74QERERETnBpCaMly4dx77Nm3l161bs559h7lyoUSO6wYmIiEjOdc45PmmcPz99Pv2Ucw4dYtq0wYBGGEsmTJw4ke7du3PnnXcyYMCA4Ff86CN/MtymDVSsCJ9/7pPHJUqEL1gREREROWGY2Y1mttrM1ppZt3Tez29mkwPvLzGzcyIfZfpSUgAO8e67A6l8+eWcfN11fh6Pyy+PdmgiIiKS051/Prz3HnnM+OSkk/hmZhKwLXD+EnuUMI4xH3zwAS1atKBOnTqMGzeOXLmC2EU//gi33+4ns9u5EyZPhg8/1G13IiIiIhI0M8sNJAEJwIXAHWZ24VGLtQJ2OefOB4YBT0c2yoz5C66X2bXrJ3r06oWNGwd16kQ5KhEREZGAihVh3jyK5MnDc4cOAsOUMJbj++abb+gudQwAABKWSURBVLjlllsoX74806ZNI3/+/MdeYd8+6N0bLrjAT2SXmOgnufvPf8AsIjGLiIiIyAmjJrDWObfeOXcImAQ0PmqZxsBLgZ+nAteZxcaJZ0pKCvA0Z59dg3r16kU7HBEREZF/uugicr//PmMuawgksXfvrmhHlC4ljGPE5s2bqV+/PgULFmT27NkUKVIk44Wdg0mToEIF6NsXGjWC777zyeOTT45c0CIiIiJyIikD/JTm+abAa+ku45w7DOwBih3dkJm1NrNlZrZs+/btYQr37/LmzUXp0lNp1eo5YiSHLSIiIvJPNWrQoM2T5M9/FYcO7Yl2NOnKE+0ABPbu3Uv9+vXZtWsXH3/8MWeddVbGC3/xBXTsCJ98AtWqwcSJcNVVkQtWRERERE5U6WVZXRaWwTk3GhgNUKNGjX+8Hw6nnw5btlwUia5EREREsuXee6ty772zoh1GhjTCOMqSk5Np0qQJK1euZOrUqVSrVi39Bbdtgwce8JParV4NY8bAsmVKFouIiIhIqGwCzkzzvCywJaNlzCwPcCqwMyLRiYiIiEhEKGEcRc45HnjgAebNm8fo0aPTr7V26BAMHQrlysH48dCpE6xZA/ffD7lzRzxmERERETlhLQXKmdm/zCwf0AyYftQy04F7Az83AeY75yIyglhEREREIkMlKaIoMTGRl156id69e9OyZct/LjB3rk8Qr14NN94Iw4b5Ce5ERERERELMOXfYzNoB7wC5gXHOuZVm1hdY5pybDowFJpjZWvzI4mbRi1hEREREwkEJ4ygZN24cffv25b777qN3795/f3PNGnj0UZg1y48snjkTGjSITqAiIiIikmM452YDs496rVeanw8ATSMdl4iIiIhEjkpSRMHcuXNp3bo1devW5fnnn/9rFuc9e6BLF6hcGT7+GAYPhm++UbJYREREREREREREIkIjjCNs+fLlNG3alCpVqjBlyhTy5s0LR474+sQ9esD27XDffTBgAJQqFe1wRUREREREREREJAdRwjiCfvzxRxo0aEDRokWZNWsWhQsXhk8/hY4d4fPP4YorfBmKGjWiHaqIiIiIiIiIiIjkQEoYR8iuXbtISEhg3759fPrpp5yRkgJ33gmvvQZlysCrr8Idd0BqeQoRERERERERERGRCFPCOAIOHjzILbfcwrp165g3fTqVpk2Dp56ClBTo2RO6dYOCBaMdpoiIiIiIiIiIiORwcZ8wNrMbgWeB3MALzrmBUQ7pb1JSUmjRogUffvghH3XowFUPPgg//gi33QZDhsA550Q7RBEREREREREREREgzhPGZpYbSAJuADYBS81sunNuVXQj+0v37t1ZOWkSP5x7LmcPHw5VqsD8+XDNNdEOTURERERERERERORv4jphDNQE1jrn1gOY2SSgMRATCeN9GwdxzoeD+NIM27MHRoyABx6APPG+2UVEREREREREROREFO+ZyzLAT2mebwIujVIsf1NzbWe6bx5KYTN4+GGsXz847bRohyUiIiIiIiIiIiKSIXPORTuGLDOzpkA959z9ged3AzWdc+3TLNMaaB14WgFYHaHwigO/RqiveKLtkjFtm/Rpu6RP2yVj2jbp03ZJn7ZLxsK9bc52zpUIY/sSI8xsO/BjBLvU5zp+ad/FN+2/+KV9F9+0/+JXpPdd0Off8T7CeBNwZprnZYEtaRdwzo0GRkcyKAAzW+acqxHpfmOdtkvGtG3Sp+2SPm2XjGnbpE/bJX3aLhnTtpFQifQXAzp245f2XXzT/otf2nfxTfsvfsXyvssV7QCyaSlQzsz+ZWb5gGbA9CjHJCIiIiIiIiIiIhKX4nqEsXPusJm1A94BcgPjnHMroxyWiIiIiIiIiIiISFyK64QxgHNuNjA72nGkI+JlMOKEtkvGtG3Sp+2SPm2XjGnbpE/bJX3aLhnTtpF4pWM3fmnfxTftv/ilfRfftP/iV8zuu7ie9E5EREREREREREREQifeaxiLiIiIiIiIiIiISIgoYRxiZnajma02s7Vm1i3a8USbmf1gZl+b2ZdmtizwWlEzm2dm3wceT4t2nOFmZuPMbJuZfZPmtXS3g3nDA8fQV2b27+hFHn4ZbJtEM9scOG6+NLP6ad7rHtg2q82sXnSiDj8zO9PMPjCzb81spZl1DLyeo4+bY2yXHH3MmNlJZvaZma0IbJc+gdf/ZWZLAsfL5MAEsZhZ/sDztYH3z4lm/OF0jG0z3sw2pDlmqgVezxGfpVRmltvMlpvZzMDzHH/MSHw43jm3jtnYFsT+e9TMVgX+Dr9vZmdHI05J3/H2X5rlmpiZM7MakYxPMhbMvjOz/wQ+fyvNbGKkY5SMBfG386zAtdLywN/P+um1I5Fn6eQ9jno/5q5BlDAOITPLDSQBCcCFwB1mdmF0o4oJ1zjnqjnnUk8UugHvO+fKAe8Hnp/oxgM3HvVaRtshASgX+NcaGBmhGKNlPP/cNgDDAsdNtUCtcgKfp2ZApcA6IwKfuxPRYaCzc64icBnQNvD75/TjJqPtAjn7mDkIXOucuwioBtxoZpcBT+O3SzlgF9AqsHwrYJdz7nxgWGC5E1VG2waga5pj5svAaznls5SqI/Btmuc6ZiTmBXnOrWM2RgW5/5YDNZxzVYGpwKDIRikZCfaa18wKAR2AJZGNUDISzL4zs3JAd6CWc64S0CnigUq6gvzs9QRed85Vx18DjYhslHIM40k/75Eq5q5BlDAOrZrAWufceufcIWAS0DjKMcWixsBLgZ9fAm6OYiwR4Zz7CNh51MsZbYfGwMvOWwwUMbPSkYk08jLYNhlpDExyzh10zm0A1uI/dycc59zPzrkvAj//hk/olCGHHzfH2C4ZyRHHTGC//x54mjfwzwHX4i+04Z/HS+pxNBW4zswsQuFG1DG2TUZyxGcJwMzKAg2AFwLPDR0zEh+COefWMRu7jrv/nHMfOOf2BZ4uBspGOEbJWLDXvP3wif4DkQxOjimYffcAkOSc2wXgnNsW4RglY8HsPwcUDvx8KrAlgvHJMQSR94i5axAljEOrDPBTmuebOHYiIydwwLtm9rmZtQ68Vso59zP45A9QMmrRRVdG20HHkdcucCvGOPurbEmO3DaB22ir40do6LgJOGq7QA4/ZgKlBb4EtgHzgHXAbufc4cAiaX/3P7dL4P09QLHIRhw5R28b51zqMfNk4JgZZmb5A6/lmGMG+B/wXyAl8LwYOmYkPgTzOdUxG7sy+3e2FTAnrBFJZhx3/5lZdeBM59zMSAYmxxXMZ688UN7MPjWzxWZ2rBGRElnB7L9E4C4z2wTMBtpHJjQJgZi7BlHCOLTSG7VwrFFMOUEt59y/8cPr25pZ7WgHFAd0HPnbL87D3z7+M/BM4PUct23M7BTgDaCTc27vsRZN57UTdtuks11y/DHjnDvinKuGH4VVE6iY3mKBxxyzXeCf28bMKuNvt7wAuAQoCjwWWDxHbBszawhsc859nvbldBbNkceMxLxgjkcds7Er6H1jZncBNYDBYY1IMuOY+8/McuHLwHSOWEQSrGA+e3nwt8TXAe4AXjCzImGOS4ITzP67AxjvnCsL1AcmBD6TEvti7rxFB05obQLOTPO8LDn8FgDn3JbA4zZgGj6JsTV1aH3gMafe5pLRdsjxx5FzbmsgwZMCjOGvEgI5atuYWV58UvRV59ybgZdz/HGT3nbRMfMX59xuYAG+xnMRM8sTeCvt7/7ndgm8fyrBl4aJW2m2zY2B8ibOOXcQeJGcd8zUAhqZ2Q/4WxqvxY841jEj8SCYz6mO2dgV1N9ZM7seeBxoFPhbLbHhePuvEFAZWBD4P+YyYLomvosJwf7tfNs5lxwo57Yan0CW6Atm/7UCXgdwzi0CTgKKRyQ6ya6YuwZRwji0lgLlzM8wng9fZHx6lGOKGjMrGJjsADMrCNQFvsFvk3sDi90LvB2dCKMuo+0wHbgnMEvmZcCe1BIEOcVRtXpuwR834LdNM/Mzn/8Lf/LyWaTji4RAncWxwLfOuaFp3srRx01G2yWnHzNmViJ19IeZFQCux9d3/gBoEljs6OMl9ThqAsx3zp2QI+8y2DbfpfnixfB1etMeMyf8Z8k51905V9Y5dw7+fGW+c645OmYkPgRzzq1jNnYdd/8FSho8j08W59TBJbHqmPvPObfHOVfcOXdO4P+Yxfj9uCw64UoawfztfAu4BsDMiuNLVKyPaJSSkWD230bgOgAzq4hPGG+PaJSSVTF3DZLn+ItIsJxzh82sHfAOkBsY55xbGeWwoqkUMC0wv0geYKJzbq6ZLQVeN7NW+D9oTaMYY0SY2Wv423qKB+oJ9QYGkv52mI2/fWQtsA+4L+IBR1AG26aOmVXD34LxA/AggHNupZm9DqwCDgNtnXNHohF3BNQC7ga+DtReBeiBjpuMtssdOfyYKQ28ZH725Fz42ZFnmtkqYJKZ9cfPOD82sPxY/C1qa/Ej7ppFI+gIyWjbzDezEvjbv74E2gSWzymfpYw8ho4ZiXEZnXObWV9gmXNuOjpmY1aQ+28wcAowJXAtsdE51yhqQcufgtx/EoOC3HfvAHUD55BHgK7OuR3Ri1pSBbn/OgNjzOwR/HVRC31ZGhsyyHvkBXDOjSIGr0FMx46IiIiIiIiIiIiIgEpSiIiIiIiIiIiIiEiAEsYiIiIiIiIiIiIiAihhLCIiIiIiIiIiIiIBShiLiIiIiIiIiIiICKCEsYiIiIiIiIiIiIgEKGEsIiIiIiIiIiIiIoASxiIiIiIiIiJygjCzI2b2pZl9Y2YzzKzIcZY/x8z2B9YxM/vEzBLSvP8fM5trZgUCyxwys+JBxNHdzJof9VopM5tpZivMbJWZzc76byoiEj5KGIuIhFF2TlgDz28JrJ/2X4qZJRzvhNXMnjezWhn0MdvMVpvZGjPrHprfVkREREQk6vY756o55yoDO4G2QayzLrCOA9oAQ83sJDMrCDwJtHXO7XfOVQO2BBlHXeDdo17rC8xzzl3knLsQ6BZkWyIiEaWEsYhIeGX5hBXAOTctsH61wGsjgI+Bd4I4Yb0UWJz2BTPLBbwBjHLOVQCqADXMrHWmfzMRERERkdi2CCiT+sTMuprZUjP7ysz6pLeCc+4bYAbwGNAbeNk5ty4znZpZYSCfc277UW+VBjal6eurzLQrIhIpShiLiETOnyesZnaXmX0WGCX8vJnlPt7KZlYe6AXc7ZxLOc6yFYE1zrkjR71VD/jBOTcdwDl3EGgHdMn8ryMiIiIiEpsC59fXAdMDz+sC5YCaQDXgYjOrncHqfYA7gQRgUBa6vx54P53Xk4CxZvaBmT1uZmdkoW0RkbBTwlhEJALSnrAGkrm3A7UCo4SPAM2Ps35eYCLQxTm3MYguE4C56bxeEViR9gXn3M9AYTPLF0S7IiIiIiKxrECgvNsOoCgwL/B63cC/5cAXwAX4BPI/OOf+ACYDEwIDLDLrRmBOOu2+A5wLjAn0v9zMSmShfRGRsFLCWEQkvNI7Yb0OuBhYGnjvOvyJ47H0A1Y65yYF2W890k8YHwFOSfuCmRlwMnA4yLZFRERERGJVaq3hs4F8/FUSzoCn0pR7O985N/YY7aQE/mVFTeCz9N5wzu10zk10zt0NLAUyGuUsIhI1ShiLiIRXeiesBryU5mS1gnMuMaMGzKwOcBu+dMRxmdnJQBHnXHr1jRcA9QNJ4lQ3AF8cr8yFiIiIiEi8cM7tAToAXQJ3670DtDSzUwDMrIyZlQx1v2ZWCfgundJwmNm1gXN1zKwQcB4QzN2DIiIRpYSxiEgEpD1hBT4CmqSeoJpZUTM7O731zOw04EXgHufcb0F2dw3wQQZxrMDfhtc30H4pYCjQI/jfRkREREQk9jnnluPLsTVzzr2LL/G2yMy+BqYChcLQbUal4cDfZbjMzL7Cz2/ygnNuaRhiEBHJFnPORTsGEZETlpn97pw7Jc3zGcDrwCGgO/6Lu2SgrXNusZmdA8x0zlUOLN8d6Al8f1TTTznnJpvZD0AN59yvafp4DpjqnFuQTjzdgHvxNdOuw49avgFYB9zsnPsh+7+1iIiIiEh8OPr8O4jlf+Co8++j3p+HH+zxc6hiFBGJNCWMRURiSChOWM3sC+BS51xyOGIUERERETlRmNmZwEJgR6CUXEbLFcCPCi4BVHHO7YxQiCIiEaeEsYhIDNEJq4iIiIiIiIhEkxLGIiIiIiIiIiIiIgJo0jsRERERERERERERCVDCWEREREREREREREQAJYxFREREREREREREJEAJYxEREREREREREREBlDAWERERERERERERkQAljEVEREREREREREQEUMJYRERERERERERERAKUMBYRERERERERERERAP4fCPPuI1Nu2mcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## ZCPE+R v kompleksni ravnini\n", "fig, (ax1, ax2) = plt.subplots(2, 2,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "plt.xlabel('Re[Z] / $\\Omega$')\n", "plt.ylabel('Im[Z] / $\\Omega$')\n", "plt.plot(ZCPE(1).real,ZCPE(1).imag, color='b',label='1')\n", "plt.plot(ZCPE(0.7).real,ZCPE(0.7).imag, color='k',label='0.7')\n", "plt.plot(ZCPE(1/2).real,ZCPE(1/2).imag, color='r',label='0.5')\n", "plt.plot(ZCPE(0).real,ZCPE(0).imag, color='g',label='0')\n", "plt.ylim(0,-400)\n", "plt.legend()\n", "\n", "plt.subplots_adjust(right=2)\n", "plt.subplot(1,2,2)\n", "plt.xlabel('Re[Y] / S')\n", "plt.ylabel('Im[Y] / S')\n", "plt.plot(YCPE(1).real,YCPE(1).imag, color='b')\n", "plt.plot(YCPE(0.7).real,YCPE(0.7).imag, color='k')\n", "plt.plot(YCPE(1/2).real,YCPE(1/2).imag, color='r')\n", "plt.plot(YCPE(0).real,YCPE(0).imag, color='g')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Impedanca zaporedne vezave CPE in upora je v kompleksni impedančni ravnini premica, ki pa se v kompleksno admitančno ravnino preslika v točke, ki niso več polkrogi (razen za $\\alpha = 1$) pač pa del loka krožnice, ki nima središča na Re osi pač pa pod njo. Take oblike \"potlačenih\" polkrogov pogosto dobimo iz meritev bioloških ali kemijskih struktur. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dielektrična spektroskopija\n", "\n", "Vzemimo najpreprostejši model izgubnega kondenzatorja, ki ga modeliramo kot vzporedno vezavo idealnega kondenzatorja in upora. Admitanca takega kondenzatorja, ki jo predstavimo z nadomestno kapacitivnostjo $C_{nad}$ je \n", "$\\underline Y = j\\omega C_{nad} = j\\omega C + G$. \n", "\n", "Za preprost ploščni kondezator velja $C=\\epsilon \\frac{A}{d}$ in $G=\\gamma \\frac{A}{d}$, kjer je $\\epsilon$ dielektričnost in $\\gamma$ specifična prevodnost kondenzatorja. Če to vstavimo v zgornjo enačbo za nadomestno kapacitivnost, dobimo\n", "$j\\omega \\underline{\\epsilon} \\frac{A}{d} = j\\omega \\epsilon \\frac{A}{d} + \\gamma \\frac{A}{d}$.\n", "Iz tega sledi enačba za kompleksno dielektričnost\n", "\n", "$\\underline{\\epsilon} = \\epsilon + \\gamma \\frac{1}{j\\omega}$\n", "ali tudi v splošnem\n", "\n", "$\\underline{\\epsilon} = \\epsilon ' - j \\epsilon '' $.\n", "\n", "Iz izmerjene impedance določenega vzorca, lahko ob poznavanju geometrije vzorca določimo dielektrične lastnosti vzorca. Če je ustrezen fizikalni model kondenzatorja vzporedna vezava idealnega kondenzatorja in upora, potem realni del kompleksne dielektričnosti predstavlja dielektričnost vzorca $\\epsilon ' =\\epsilon $, imaginarni pa prevodnost $\\epsilon '' =\\gamma \\frac{1}{\\omega}$.\n", "\n", "Dielektrična spektroskopija se opravlja popolnoma na enak način kot impedančna spektroskopija, za določitev dielektričnih lastnosti je potrebno poznati le t.i. konstanto celice, ki je v našem primeru $ \\frac{A}{d}$.\n", "\n", "Na enak način kot smo določili kompleksno dielektričnost, se da določiti tudi kompleksno prevodnost $\\underline \\gamma$ in tudi kompleksno permeabilnost (permitivnost) $\\underline \\mu$. Slednjo se pogosto uporablja pri opisovanju frekvenčnih lastnosti feromagnetnih materialov, še posebno feritov." ] }, { "cell_type": "markdown", "metadata": { "tags": [ "Debye" ] }, "source": [ "### Debye in Cole-Cole\n", "\n", "Pri raziskavi dielektrikov nas zanima določitev t.i. disperzijskih in absorpcijskih lastnosti, ki jih določata imaginarna in realna komponenta kompleksne dielektričnosti. Osnovni model je t.i. Debye-jev model, ki je zgrajen iz vzporedne vezave kodenzatorja v eni veji in kodenzatorja in upora v drugi veji (glej sliko, levo (a)). \n", "\n", "\n", "\n", "Ta model zapišemo v obliki\n", "\n", "$\\underline{\\epsilon} = \\epsilon _{\\infty} + \\frac{\\epsilon _{0} - \\epsilon _{\\infty}}{1+j\\omega\\tau} $. \n", "\n", "$\\epsilon _0$ predstavlja dielektričnost pri nizkih frekvencah (DC), $\\epsilon _{\\infty}$ pa pri visokih frekvencah. $\\tau$ imenujemo relaksacijski čas in je povezan s hitrostjo relaksacije oz. iznihanja polariziranih dipolov. Na primer, pri nizkih frekvencah nihanje dipolov v snovi uspe slediti vzbujalnemu signalu, nad določeno frekvenco pa jim to več ne uspeva, zato se njihove dielektrične lastnosti zmanjšajo. \n", "\n", "Debye-jev model izhaja iz fizikalnega ozadja in dokaj verno opiše absorpcijske in disperzijske lastnosti dielektrikov, ne pa tudi v popolnosti. Izmerjene dielektrične lastnosti so pokazale odstopanja, ki jih razreši nadgrajen model, t.i. Cole-Cole model. Ta vsebuje že omenjeni CPE element, tako, da postane enačba za kompleksni epsilon oblike\n", "\n", "$\\underline{\\epsilon} = \\epsilon _{\\infty} + \\frac{\\epsilon _{0} - \\epsilon _{\\infty}}{1+(j\\omega\\tau)^{1-\\alpha}} $. \n", "\n", "Na zgornji sliki desno vidimo uporabo Cole-Cole modela za prileganje izmerjenim vrednostim dielektričnih lastnosti nekaterih snovi.\n", "\n", "V spodnji celici smo uporabili Debyejev in Cole-Colov model za opis dielektričnih lastnosti vode." ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "106382978723.40427\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "e0=81\n", "einf=1.8\n", "tau=9.4*10**(-12)\n", "alfa=0.09\n", "print(1/tau)\n", "\n", "eksponent=np.linspace(5,13,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "\n", "def eps(e0, einf,tau, alfa):\n", " return einf+(e0-einf)/(1+(1j*omega*tau)**(1-alfa))\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 1,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Abs(Impedanca) / $\\Omega$') \n", "plt.semilogx(freq,eps(e0,einf,tau,0).real, color='b',label='Debye real')\n", "plt.semilogx(freq,eps(e0,einf,tau,alfa).real, color='r',label='Cole real')\n", "plt.semilogx(freq,-eps(e0,einf,tau,0).imag, color='b',linestyle=':',label='Debye imag')\n", "plt.semilogx(freq,-eps(e0,einf,tau,alfa).imag, color='r',linestyle=':',label='Cole imag')\n", "plt.legend()\n", "\n", "plt.subplots_adjust(right=2)\n", "plt.subplot(1,2,2)\n", "plt.xlabel('Re[Y] / S')\n", "plt.ylabel('Im[Y] / S')\n", "plt.plot(eps(e0,einf,tau,0).real,-eps(e0,einf,tau,0).imag, color='b')\n", "plt.plot(eps(e0,einf,tau,alfa).real,-eps(e0,einf,tau,alfa).imag, color='r')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve:** Vidimo, da je realni del dielektričnosti vode praktično do GHz konstanten, potem pa pade na vrednost 1.8. Kot omenjeno, je to posledica nezmožnosti dipolov vode, da sledijo frekvenci vzbujalnega signala. Ob tem prihaja do trenja, ki se odraža v imaginarnem delu kompleksne dielektričnosti, ki, kot smo videli iz enačb, predstavlja \"ohmske\" izgube, ki jih pri dielektričnosti opišemo z izrazom absorpcija (EM valovi se absorbirajo). Razlika med Cole-Cole modelom in Debyejevim modelom za vodo ni velika, večja pa je za druge strukture, kot je razvidno tudi iz slike iz članka. \n", "\n", "Največja absorpcija nastopa v GHz področju, vendar glede na graf pri višjih frekvencah, kot pa deluje mikrovalovna pečica (2.4 GHz) - ki ravno izkorišča efekt dielektrične absorpcije za gretje piščanca. To naj bi bilo narejeno namerno, tako, da se mikrovalovi ne absorbirajo le na površini piščanca, pač pa del njih prodre tudi v notrajnost in ga tako bolj enakomerno segreje. Poleg tega je relaksacijska frekvenca precej odvisna od temeprature, pri višji temperaturi je manjša.Več npr. v http://www1.lsbu.ac.uk/water/microwave_water.html. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dielektrične lastnosti bioloških tkiv\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zanimivo je, da Cole-Cole model ni primeren le za modeliranje dielektričnih lastnosti \"preprostih\" dielektrikov, pač pa se je izkazalo, da v razširjeni obliki zelo dobro modelira tudi dielektrične lastnosti bioloških tkiv. Trenutno, v bistvu že kar nekaj časa, je v veljavi več-parametrski model, ki sta ga predlagala Gabriel & Gabriel () in temelji na uporabi več osnovnih Cole-Cole enačb. S tem omogoči, da se modelira relaksacijske mehanizme v bioloških sistemih, ki nastopajo pri več različnih frekvencah. Model, ki sta ga uporabila \n", "\n", "$$\\underline{\\epsilon} = \\epsilon _{\\infty} + \\sum_{n=1}^{4} \\frac{\\Delta \\epsilon_n}{1+(j\\omega\\tau _n)^{1-\\alpha _n}} + \\frac{\\gamma }{j \\omega \\epsilon _0}$$. \n", "\n", "\n", "http://niremf.ifac.cnr.it/docs/DIELECTRIC/AppendixC.html" ] }, { "cell_type": "code", "execution_count": 186, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 186, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ef=4.000\n", "del1=56\n", "tau1=8.377e-12\n", "alf1=.1\n", "del2=5200\n", "tau2=132.629e-9\n", "alf2=.1\n", "sig=.7\n", "del3=0.7\n", "tau3=159.155\n", "alf3=0.2\n", "del4=0\n", "tau4=15e-3\n", "alf4=0\n", "e0=8.854e-12\n", "#\t56.00\t8.377\t0.100\t5200\t132.629\t0.100\t0.700\t0.00E+0\t159.155\t0.200\t0.00E+0\t15.915\t0.000\n", "\n", "eksponent=np.linspace(1,12,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "\n", "eps=ef+del1/(1+(1j*omega*tau1)**(1-alf1))+del2/(1+(1j*omega*tau2)**(1-alf2))\n", "eps=eps+del3/(1+(1j*omega*tau3)**(1-alf4))+del4/(1+(1j*omega*tau4)**(1-alf4))+sig/(1j*omega*e0)\n", "sigma=1j*eps*omega*e0\n", "\n", "\n", "fig, (ax1, ax2) = plt.subplots(2, 1,figsize=(10, 6))\n", "\n", "plt.subplot(1,2,1)\n", "plt.xlabel('Frekvenca (Hz)')\n", "plt.ylabel('Eps in Gama / ') \n", "plt.loglog(freq,(eps).real, color='b',linewidth=3,label='eps.real')\n", "plt.loglog(freq,sigma.real, color='r',linewidth=3,label='gama.real')\n", "plt.loglog(freq,(sigma).imag, color='r',linestyle=':',label='gama.imag')\n", "\n", "plt.grid(True,which=\"both\")\n", "plt.ylim(.1,1e4)\n", "plt.legend()\n", "\n", "plt.subplots_adjust(right=2)\n", "plt.subplot(1,2,2)\n", "plt.xlabel('Re ')\n", "plt.ylabel('Im')\n", "plt.plot((1/eps).real,(1/eps).imag, color='b')\n", "#plt.plot(sigma.real,-sigma.imag, color='b')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Ugotovitve**: Na sliki na levi je izrisana realna komponenta kompleksne dielektričnosti (epsr), ki opisuje dielektrične lastnosti krvi in specifična prevodnost (gama), ki je določena kot (glej uvod v dielektrično spektroskopijo) $\\gamma = - \\omega \\epsilon '' \\epsilon_0$. \n", "\n", "Dielektričnost se ne spreminja do cca 1 MHz, potem izkazuje eno relaksacijo in pri frekvenci 10 GHz še eno. To se odraža tudi v večanju prevodnosti s frekvenco. \n", "\n", "Ali to pomeni, da pri prevajanju izmeničnih signalov v krvi prevladujejo dielektrične lastnosti, torej kapacitivni efekt (premikalni tok) v primerjavi z ohmskim? V bistvu ne, izkaže se, da je ohmska komponenta v bistvu mnogo večja od dielektrične (kapacitivne) do precej visokih frekvenc. To bi videli, če bi na grafu izrisali tudi imaginarno komponento kompleksne dielektričnosti, ki se nanaša na ohmsko komponento. Ta bi bila mnogo večja pri nizkih frekvencah. Analogno lahko primerjamo tudi realno in imaginarno komponento prevodnosti, saj je $\\underline \\gamma = j \\omega \\underline \\epsilon$. Sedaj realna komponenta predstavlja ohmski prispevek, imaginarna pa kapacitivni. Na sliki vidimo, da je imaginarna komponenta specifične prevodnosti mnogo manjša od realne do frekvenc pod MHz, kar ravno pove, da v tem področju prevladuje ohmsko prevajanje. Nad to frekvenco pa začne prevladovati dielektrično prevajanje. \n", "\n", "Na sliki desno rišemo $1/\\underline\\epsilon$ v kompleksni ravnini. Zakaj $1/\\underline\\epsilon$ in ne $\\underline\\epsilon$. Zato, ker za $\\underline\\epsilon$ ne bi dobili \"nič pametnega\". Kaj to pomeni? Realni del od $\\underline\\epsilon$ predstavlja dielektrične, imaginarni pa prevodne lastnosti tkiva. Prevodne lastnosti (ohmske) precej prevladujejo dielektrične, še posebno pri nižjih frekvencah (do nekaj MHz), ki pa se kot inverzne vrednosti preslikajo v male vrednosti in polkrog. \n", "\n", "Če bi želeli opazovati vpliv Cole-Cole elementov znotraj modela, bi bilo potrebno zakomentirati zadnji del modela, ki vsebuje člen $ \\frac{\\gamma }{j \\omega \\epsilon _0}$.\n", "\n", "\n", "\n", "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2914348/\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Iskanje parametrov iz izmerjenih vrednosti impedance\n", "\n", "Načeloma je iskanje parametrov določeni funkciji, ki jo primerjamo z izmerjenimi vrednostmi lahko enostavno. V Pythonu obstaja modul SciPy, ki vsebuje funkcije za iskanje optimalnega prileganja (fitanje z grdim izrazom) modelne funkcije z npr. izmerjenimi vrednostmi. Nas zanima prileganje modelu impedance ali admitance. Predpostavimo torej določen model (nadomestne) impedance, ki ga predstavimo s funkcijo in nato uporabimo Scipyjev ukaz optimize.curve_fit, da poiščemo parametre, ki najbolje prilegajo modelno funkcijo izmerjenim vrednostim. \n", "\n", "Uporaba funkcije curve_fit je v našem primeru nekoliko bolj zapletena, ker je funcija impedance kompleksna in v bistvu sestavljena iz dveh delov, realnega in imaginarnega ali pa amplitude in faze. Direkten vnos kompleksne funkcije v curve_fit ni mogoč, zato je potrebno uporabiti \"trik\", da bo rezultat modelne funkcije niz vrednosti float, pri čemer so imaginarne vrednosti spremenjene v float. \n", "\n", "Da bi lažje razumeli uporabo funkcije curve_fit, si poglejmo najprej uporabo na preprostem \"ne-kompleksnem\" modelu prileganja eksponentne funkcije. Namesto izmerjene uporabimo eksaktno funkcijo, ki pa ji dodamo naključni šum.\n", "\n", "**Kot zanimivost:** Ena od možnih aplikacij (od mnogih) merjenje dielektričnih lastnosti krvi je ugotavljanje dielektričnosti pri sladkornih bolnikih. Izkaže se, da se dielektrične lastnosti krvi pri diabetikih zelo spremenijo, kar predstavlja možno metodo določanja nivoja glukoze v krvi. Za več glej npr. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2914348/." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prileganje eksponentne funkcije" ] }, { "cell_type": "code", "execution_count": 187, "metadata": { "code_folding": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "amp = 2.0482431712098235 +/- 0.029313893219368586\n", "tau = 0.4827304466393505 +/- 0.010280560612845888\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Uporaba knjižnice Scipy in optimize znotraj nje \n", "import scipy.optimize as opt\n", "\n", "def exp_func(t, amp, tau):\n", " return amp * np.exp(-t/tau)\n", "\n", "# izdelamo eksaktno funkcijo in funkcijo z dodanim šumom\n", "t = np.linspace(0, 5, 101)\n", "y_exact = exp_func(t, 2, 0.5)\n", "y_noise = exp_func(t, 2, 0.5) + np.random.normal(size=len(t), scale=0.05)\n", "plt.plot(t,y_exact)\n", "plt.plot(t, y_noise, '.')\n", "\n", "# Prileganje\n", "popt, pcov = opt.curve_fit(exp_func, t, y_noise) # uporaba funkcije curve_fit\n", "t_new=np.linspace(0, 5, 10) # rešitev bom risal samo v 10 ih točkah zato tvorim nov vektor časa\n", "plt.plot(t_new, exp_func(t_new,popt[0],popt[1]), 'o') # fitana funkcija - zelene točke\n", "# določen prvi in drugi parameter + interval zaupanja (en sigma)\n", "print(\"amp =\", popt[0], \"+/-\", pcov[0,0]**0.5)\n", "print(\"tau =\", popt[1], \"+/-\", pcov[1,1]**0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prileganje modelu impedance\n", "\n", "Vzamemo kar model Randelsove celice (vzporedni RC člen in zaporedno upor), kar na kratko zapišemo kot\n", "\n", "$\\underline Z = R_s +R_{ct}||\\underline Z_C$.\n", "\n", "Najprej določimo to impedanco za konkretne vrednosti parametrov, potem pa skušamo poiskati te parametre z \"napačnimi\" izhodiščnimi parametri." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.0 0.0001 0.1\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "### Iskanje parametrov modela\n", "# ker se fita kompleksna funkcija, jo je potrebno spremeniti v \"navadno\"\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "freq=10**(eksponent)\n", "omega=2*np.pi*freq\n", "R=0.1\n", "G=2\n", "C=1e-4\n", "Z= 1/(G+1j*omega*C)+R\n", "\n", "## To deluje za shranjevanje v binarni file in brnje nazaj \n", "# (načeloma ne potrebujem, le če bi v resnici bral izmerjene impedance)\n", "with open('test.npy', 'wb') as f:\n", " np.save(f, omega)\n", " np.save(f, Z)\n", "with open('test.npy', 'rb') as f:\n", " om = np.load(f)\n", " ZZ = np.load(f)\n", "\n", "## Uporaba knjižnice Scipy in optimize znotraj nje \n", "import scipy.optimize as opt\n", "\n", "def func(omega,a,b,c): # definiram funkcijo s parametri a,b,c, ki jih iščem\n", " Zfunc=(1/(a+1j*omega*b)+c)\n", " return Zfunc.view(np.float) # ker gre za kompleksne vrednosti, jim moram spremeniti v dvojni float array\n", "\n", "a=100; b=1e-4; c=100 # začetni parametri (prave vrednosti so G, C in R)\n", "omega2=np.append(omega,omega) # potrebujem dvojni array, ker bo func vrnila dvojne vrednosti namesto kompleksnih\n", "Z2= Z.view(np.float)# spremenim Z v dvojni array\n", "\n", "(a_, b_, c_), _ = opt.curve_fit(func, omega, Z2) # fitting procedura, func vrne dvojni array zato primerjam z Z2\n", "print(a_,b_,c_) # dobljeni parametri\n", "z_model = func(omega2, a_, b_, c_) # dobljena funkcija oz. vrednosti iz modela\n", "zz=z_model.view(complex) # spremenim nazaj v kompleksne vrednosti\n", "#print(y)\n", "plt.plot(Z.real,-Z.imag,label='meritev') # to iščem\n", "plt.plot(zz.real,-zz.imag,'o',label='model') # izris rezultata fitanja\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Zaključek\n", "\n", "V zvezku smo spoznali uporabo impedančne spektroskopije za iskanje nadomestnega modela impedance strukture. Pri tem se izkaže, da je pogosto težko določiti nadomestni model le s pomočjo vezja sestavljenega iz uporov, kodenzatorjev in tuljav. Še posebno pride ta problem do izraza pri elektrokemijskih pojavih ali bioloških sistemih. \n", "\n", "V ta namen se pogosto impedanco ali admitanco kot funkcijo frekvence riše v kompleksni ravnini. Iz oblike krivulje v kompleksni ravnini, ki je pogosto v obliki polkroga, več polkrogov ali kaj podobnega, se lahko razbere nadomestna vezava elementov. \n", "\n", "Spoznali smo t.i. Warburgov element oz. Warburgovo inpedanco $\\underline{Z}_W = \\frac{A_W}{\\sqrt\\omega}(1-j)$, ki v elektrokemiji dobro modelira difuzijske procese, ki so prisotni predvsem pri nižjih frekvencah.\n", "\n", "Še bolj splošen model je koncept elementa s konstantno fazo CPE (constant phase element), katerega impedanca je $\\underline Z_{CPE} = \\frac{1}{Q (j\\omega)^{\\alpha}}$. Z nastavljanjem parametra $\\alpha$ je mogoče nastavljati konstanten fazni kot ter hitrost spreminjanja impedance s frekvenco. To se v kompleksni ravnini odraža kot nekakšna poltačena polkrožnica, ki pa odlično modelira impedance, ki jih dobimo v elektrokemijskih ali bioloških sistemih.\n", "\n", "Pomemben del analize s pomočjo impedančne spektroskopije je tudi iskanje ustreznega nadomestnega modela izmerjenim vrednostim impedance. V tem zvezku je prikazan možen princip iskanja parametrov z iskanjem prileganja modela impedance izmerjenim vrednostim. \n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rešitve" ] }, { "cell_type": "code", "execution_count": 302, "metadata": { "code_folding": [ 0 ] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Nyquistov diagram za zaporedno vezavo R in L\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "omega=10**(eksponent)\n", "R=10\n", "L=10e-4\n", "Z=R+1j*omega*L\n", "Y=1/Z\n", "plt.subplots(figsize=(10, 6))\n", "plt.plot(Y.real, Y.imag, '-ko')\n", "plt.title('Admitanca')\n", "plt.xlabel('Re[Y]')\n", "plt.ylabel('Im[Y]')\n", "plt.axis('scaled')\n", "style = dict(size=10, color='gray')\n", "\n", "freq=10**(np.linspace(0,4,10))\n", "Y2=1/(R+1j*2*np.pi*freq*L)\n", "for i in [0,5,6,7,8,9]:\n", " plt.text(1.01*Y2.real[i], Y2.imag[i], np.round(freq[i]), **style)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 420, "metadata": { "code_folding": [ 0 ] }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## Nyquistov diagram za zaporedno vezavo R in C\n", "eksponent=np.linspace(0,5,100) # izdelamo 10 točk od 0 do 2000, linearno\n", "omega=10**(eksponent)\n", "R=10\n", "C=10e-5\n", "Z=R+1/(1j*omega*C)\n", "Y=1/Z\n", "plt.subplots(figsize=(10, 6))\n", "plt.plot(Y.real, Y.imag, '-ko')\n", "plt.title('Admitanca')\n", "plt.xlabel('Re[Y]')\n", "plt.ylabel('Im[Y]')\n", "plt.axis('scaled')\n", "# Za izris frekvence v določenih točkah\n", "for i in [0,40,50,60,70,80,90]:\n", " plt.text(1.01*Y.real[i], Y.imag[i], np.round(omega[i]), **style)\n", "plt.show()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "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": "3.7.0" }, "nbTranslate": { "displayLangs": [ "*" ], "hotkey": "alt-t", "langInMainMenu": true, "sourceLang": "en", "targetLang": "fr", "useGoogleTranslate": true }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Kazalo", "title_sidebar": "Kazalo", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "164.988px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }