Commit b82e1cf0 authored by FAGES Francois's avatar FAGES Francois
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M2 ACGT

parent 54d45cf2
%% Cell type:markdown id: tags:
 
# CRN models of gene expression
Modal INF473L Ecole Polytechnique
 
F. Fages, Feb. 2020
 
In this session, we explore
* the process of gene expression: activation by *promotor*, *trancription* in RNA, and *translation* in proteins (discovered by François Jacob and Jacques Monod, Nobel prize 1965)
* the stochastic effects caused by low numbers of molecules (a gene is in one single copy)
* the expressive power of autocatalysis
 
The importance of stochastic effects in gene expression will lead us in the sequel of the MODAL to favor programming with high numbers of molecules, i.e. using proteins, enzymes and post-translational regulation, instead of gene networks.
 
A *gene* is sequence of DNA which codes for an *RNA*, itself coding for a *protein*.
A *gene* is sequence of DNA (sequence of pairs of nucleotides ACGT)
* which codes for an *RNA* (sequence of nucleotides AUCG)
* itself coding for a *protein* (sequence of aminoacids among 22 aminacids).
 
The *RNA polymerase* is a protein complex which transcripts the *DNA sequence* of the gene in the corresponding *RNA sequence*.
 
The binding of the RNA polymerase on the binding site of the DNA can be
* either spontaneous (*basal expression*)
* or facilitated by the binding of a *promotor* protein already bound on that site (*gene activation*)
* or inhibited by the binding of a repressor protein (*gene repression*)
 
<img src="gene.png" alt="gene.png" style="width: 400px;"/>
 
%% Cell type:markdown id: tags:
 
# Part I: Basal expression
 
* Transcription: gene + RNApolymerase => geneRNApolymerase => gene + RNApolymerase + RNAnucleus
<img src="transcription.png" alt="transcription.png" style="width: 500px;"/>
* Translocation: RNAnucleus => RNAcytoplasm
* Translation: RNAcytoplasm + ribosome => RNAcytoplasmRibosome => ribosome + protein
<img src="translation.png" alt="translation.png" style="width: 500px;"/>
 
%% Cell type:markdown id: tags:
 
### Reaction-based modeling
* chemical reaction structure: `reactants => products`
* rate function: mass action law kinetics `MA(k)`, Michaelis-Menten kinetics `MM(v,k)`, any mathematical expression over the reactants
 
%% Cell type:code id: tags:
 
```
list_functions.
```
 
%%%% Output: execute_result
 
From inherited 'initial':
[0] function MA(k)=k*product(S*M in [reactants],M^S)
[1] function MAI(k)=k*product(S*M in [reactants],M^S)/(1+sum(M in [inhibitors],M))
[2] function MM(Vm, Km)=Vm*single_reactant/(Km+single_reactant)
[3] function Hill(Vm, Km, n)=Vm*single_reactant^n/(Km^n+single_reactant^n)
[4] function HillI(Vm, Km, n)=Vm*single_reactant^n/(Km^n+single_reactant^n+sum(M in [inhibitors],M^n))
 
%% Cell type:code id: tags:
 
```
MA(k1) for gene + RNApolymerase => geneRNApolymerase.
```
 
%% Cell type:code id: tags:
 
```
MA(k2) for geneRNApolymerase => gene + RNApolymerase.
```
 
%% Cell type:code id: tags:
 
```
MA(k3) for geneRNApolymerase => RNAnucleus + geneRNApolymerase.
```
 
%% Cell type:code id: tags:
 
```
MA(k4) for RNAnucleus => RNAcytoplasm.
```
 
%% Cell type:code id: tags:
 
```
MA(k5) for RNAcytoplasm + ribosome => RNAcytoplasmRibosome.
```
 
%% Cell type:code id: tags:
 
```
MA(k6) for RNAcytoplasmRibosome => protein + ribosome.
```
 
%% Cell type:code id: tags:
 
```
MA(k7) for protein => _.
```
 
%% Cell type:code id: tags:
 
```
parameter(k1=1, k2=1, k3=1, k4=1, k5=1, k6=1, k7=0.1).
```
 
%% Cell type:markdown id: tags:
 
### Initial state
 
%% Cell type:code id: tags:
 
```
present(gene, nbgene).
present(RNApolymerase, nbRNApolymerase).
present(ribosome, nbribosome).
```
 
%% Cell type:code id: tags:
 
```
parameter(nbgene=1, nbRNApolymerase=10, nbribosome=10).
```
 
%% Cell type:markdown id: tags:
 
### Chemical reaction network (CRN)
* hypergraph represented by a bipartite species-reactions graph
 
%% Cell type:code id: tags:
 
```
draw_reactions.
```
 
%%%% Output: display_data
 
![](data:image/png;base64,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)
 
%% Cell type:code id: tags:
 
```
search_conservations.
```
 
%%%% Output: execute_result
 
RNApolymerase+geneRNApolymerase
RNAcytoplasmRibosome+ribosome
gene+geneRNApolymerase
3 complex invariant(s)
 
%% Cell type:markdown id: tags:
 
# Question 1) explain and interpret those 3 invariants
Your answer:
 
*
 
*
 
*
 
*
 
 
%% Cell type:markdown id: tags:
 
### Influence graph
* positive and negative influences between molecular species
* abstraction of the reaction hypergraph
 
%% Cell type:code id: tags:
 
```
draw_influences.
```
 
%%%% Output: display_data
 
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/CTF1qIiACIiACIiACIiACIhAOBOKFxZo1a6y1gq5DwWx8u85K082bN4/vlhP+8ePHY+DAgZg0aZJdnzt37vjt/EI3Jr6V/89//oPNmzfbbYcPH7aByywkd8cdd6BChQr2rT0n8bR4fPbZZ9YSwmN9G2MTypUrFy+aGJ8wcuRIvPvuu7YCdufOna170aOPPoonnnjCxjB88cUXtotPP/0Ub7/9tk2z+91334HrS5QoYc/DYoBLliyxY2F9j/bt29tj3n//ffA4/l60aBF27Nhh41U4RgooX7HhO87UfKdl6Qire6uJgAiIgAiIgAiIgAiIQBgQiBcW2bNnj3+jH4xx0SpAi0W9evUwfPhwPP300xd0y9S1r732Gjp06GArUPtuXLhwoS26V6dOHVuJetiwYXYzYzKaNGliF8Zx/Otf/wLdtyhSeL5OnTrh8ccfR/fu3X27swXnaDlZu3atXU9LB/flGOhyxfExCxatKB988AHee+89m+aVFoZBgwbZInWlSpWyAoPuWTymb9++oGChdeOuu+6ysSH//ve/rVVi2rRpWL16NSgwihcvjrFjx2LPnj2oWrUqFixYgJ9//vmC8aX1h+NKltbjdZwIiIAIiIAIiIAIiIAIBItAvLCoWbMm1q9fH+/eE+gJcuTIYWMc+Gb922+/TbI7Zp1ifYZbb73Vug05O3Fyz0k73/Dny5cPH374Yfz2bNmyxdfSuPrqq7Fp0yZwIu+4PVF4UEBs27bN6c5+UnDQusCAcAoUuhNxjPykqCpcuDAcqwkDzulu9ccff9isWD169ACtFRQ8PH+uXLls/AiPpduXE8vBfhzRwSJ3DERn3Q8KCdYBYT90OWNV7UDbX3/9dYHrWKD96XgREAEREAEREAEREAERCIRAvLCIiorC7bffbt/iB9Ihj2VMgsfjsRmZKCoYZEy3J6fRNYgtIiLCugxxos5icGw7d+60rkJ82z906FAbS0D3LIoLpzlv6lmZmqLkhhtusNYGbqd7EMVM2bJlnd3tJyf4tJqwJgcDy9k4RqfRPcn3N9czNmTevHm2QCB/s1igE9fh7NuzZ08bsE6rBcfF9Zz0U8RQ5PAaLr/8chtjwjgNXjuL3gXS6BI2YMAA0HVLTQREQAREQAREQAREQATCgUAO30EwW9M///yDPn364JVXXrFv9H23p+Q7J71jxoyx4oApa+nuxMBtuhBRcPCN//Tp060Vg3EStEgwjoJuTXyb/9BDD9l1dEOiGNi6dSuYhrZ///5gbAUbYyi4bcaMGTaAmZmo5s6dC7pMMYiasROcwP/yyy/WRYrWCwqNLl26gLEQjI1gYwA0BQ1doDgGxoLwO9cz5oTZrWhVadq0KeiW9eKLL9rjOTaeq1evXtZiQTcrWit4Dq7bsmWLFRa8Nooejp+xG8yO1bJlS4wbN86ePy3/45joXsWCeRyXmgiIgAiIgAiIgAiIgAiEA4EI84b9f6/tzYj4k8KCrkicJFeqVClDxknXI7ogXaxxbLRKMKMUMz/5NgZxcx0tIUk1ujatW7cOLACYmkYhQauJv37p/hQZGWlFDN2raLmgZYPHUEg5jVmiKDbS2hifQbH24IMP2riOtPaj40RABERABERABERABEQgyAQuLJDn2znf7I8aNcrGQDDA2ilm57tPKL7T6nDw4EFrqfA30U84LooJuj/R5WrmzJlpssQk7DMjf9MCQjcsij1akpiuV00EREAEREAEREAEREAEwoiAf2HBQdI16ZNPPrHF7RiITHemMmXKhGz8zKzkZFRq2LChTRGbksEwfuL//u//rEgKxGKQknMFcx+m6mV627///tsKI8Zx0CKiJgIiIAIiIAIiIAIiIAJhRiB5YeEMlnETLFjHyXnlypVx/fXX2zSwwa554ZwvK3+y6B5jQyigWLyPweY33XSTdbXKylx07SIgAiIgAiIgAiIgAmFNIGXCwrkEvvlnGlVOeln4rVGjRmjcuLHNflSsWDFnN32mkgBT5jL7FAPQmfL3mmuuQdu2bdGgQYNU9qTdRUAEREAEREAEREAERCAkBFInLHyHyOBkZlDiZHj+/Pk2aJoig9mTGAMQExPju7u++xBgSt2lS5faNLYUFMwoxdS0zHrF1LT8rSYCIiACIiACIiACIiACLiKQdmGR8CJXrVqFxYsX2wkz60swO1OtWrVs4ToWr+OSkqxPCft1+28GmjN1LYv2cWG8BIPOKb64MFakXLlybr9MjV8EREAEREAEREAERCBrEwiesEjIcfPmzWDwsTOh5iczS7HWQ4UKFVC+fHn7WbJkSVvF2jcta8K+wv33uXPnbP0MWiLo1sQsTlxYP4O1O6pXr26FFQv3UWyVKFEi3C9J4xMBERABERABERABERCB1BBIP2GR1Ch27doFCg5OuvnJiTcL2fGtPovIUWSULl3aulHR4lG4cGG7cButHSyEl5FuQqxPwdoTrLHBQnqsk8FPjpdB1tu3b7eCgsHtjDFhxixaHyiaHOHEsauJgAiIgAiIgAiIgAiIQCYnkLHCwh9MBoUzlSyFBz+dyTsn8lw4cWdRPKa/zZkzpy0yV6BAAVuXInfu3ODCAnXMUkXhwYUWEOeTx9BywMJ1tC7wk4UAKRzyGGFT1bhxbTT9/V20KI7GHbXniT0Qa12WmJ6WlhYuX5b9ElVyVsFNhW5Co5KNrOWB1oei5riU1tTwx0DrRUAEREAEREAEREAERMDFBCaERVEECoBSpUrZ5WIwmYLVsSKcOnXKpmTlOi7njBWh2rhxWPLkk6BYoYBwRAQn/hQbOcy6EsuXo+akSchuxEYuY5HIZUTLWWNx2GiyXeXKG4UBKwegQkwFvNLklQuGU/Gviug5uye2ntyKaoeq4ZlKz6B64eoSFRdQ0g8REAEREAEREAEREIGsSCDCvLn3ZJoLnzIFJh8u0K9f4ksyogPdu8OU3obxbYIxjXj3MdYO44cFE/wATJwI42+F0+dPo/NvnXFFySvw1CVPxfd14uwJNPqsEVYdWGXXFcxdEMWji+OROo/gwdoPolSeUvH76osIiIAIiIAIiIAIiIAIZCECE7Jlqos1qW9x5ZVJX9KLLwIffQRs2ACcOQMTyAHUrQuMGuUVG6YoHUUFW+7suTGkxRD8se0PfLPmm/j+8uTMg39d8S9QULAdPn0Yaw6uQa+5vVDn4zqYtWNW/L76IgIiIAIiIAIiIAIiIAJZiUDmERbGxQkLFsAUhEj6/r36KkwkOPDEE8CnnwI//gi0bAk88ghQqVKiY/Lnyo8hLYfgq9Vf4aeNP8Vvv7fGvahcoHL8b345F3cONQvXRJ0idS5Yrx8iIAIiIAIiIAIiIAIikFUIZB5hYepDmLRMMAU0kr53FSvCRIUDY8cC7dp5BQitFyYw3F8rGlUUw1oNw+hlo/HH9j/sbjmz5cQbV7+BItHGfeq/rWpMVXx+4+eIiVRRQIeJPkVABERABERABERABLIWgcwjLJJzg0rqnppgbusKRStHMq1M3jIY2nIoBi4aiMV7F9s921Zsi0uKXmK/1yhcAy80fAH95vXDsbPHkulJm0RABERABERABERABEQg8xLIusKC9/Tyy73uUxe5v3R9euuat/DqrFfxz/5/EGH+69m4J/JH5sfPd/yMx+s+jvrF6qPj1I44cPrARXrTZhEQAREQAREQAREQARHIfAQyh7BghidT78JmdkrNPWrcOEXCgl3WLVIXfa/uix5/9MDGIxvRvGxzHOl6BOXzl7dnfLr+02hbqS06/toRO47vSM0otK8IiIAIiIAIiIAIiIAIuJ5A5hAW8+YBV12V+pthitshTx5vpqgUHN2weEO82OhFdJveDduObUt0RPua7dGhdgcrLjYcMfEbaiIgAiIgAiIgAiIgAiKQRQhkDmGxaBHQsGHabtkVVwDz56f4WFoqOtfvjK7TumL3yd2JjmtXqR2eb/i83b7iwIpE27VCBERABERABERABERABDIjgcwhLBaboOrLLkvb/aGwWLgwVcfeUPEGWxCvy29dcPD0wUTHtijbAr2v7I2XZr6ERbuN6FETAREQAREQAREQAREQgUxOwP3CYuNGIG9eoGjRtN2qSy8F/vkHiI1N1fF3VL0Dt1W9zVomjp45mujYy0tcjoHNBuL1Oa9j5nZT7VtNBERABERABERABERABDIxAfcLi0CsFbyx0dFAzZoA62CksjGmolnZZnhm+jM4cfZEoqNrF66N4a2GY9CiQZi8aXKi7VohAiIgAiIgAiIgAiIgApmFgPuFxV9/AbQ6BNIuMTUplixJUw9PXvKkTTX73O/P4fT504n6qFKwCt5v8z7GLhuLSWsnJdquFSIgAiIgAiIgAiIgAiKQGQi4X1gEarHgXaxfH1i6NM3389lLn0WlgpWsZeJs3NlE/bDI3thrvcLi438+TrRdK0RABERABERABERABETA7QTcLSzWrQNiYoDChQO7D3XqAKtXA+fOpbmfHpf3QJwnzta5OOdJ3E+x6GIYc+0Y/L7td4xYMiLN59GBIiACIiACIiACIiACIhCOBNwtLOgGldZsUL53g3EW5U2hu1WrfNem6rutxt2kJ3LnyI3XZr+G857ziY4vkKsARrYeiaX7lmLCygnwmP/UREAEREAEREAEREAERCAzEHC3sGDAdTCEBe9kvXppCuD2fQiyIRvevPpNa7mYsGKC76b47/ly5sOIViPw5+4/8cbcN5IUIPE764sIiIAIiIAIiIAIiIAIuISAu4XF8uVArVrBQU1hEUCchTMIiot+V/fDkr1L8Ob8N53VF3zmzp4bg1sMxvGzx/HKrFeQVFzGBQfohwiIgAiIgAiIgAiIgAiEOQH3Cou9ewGPcSUqUSI4iINgsXAGkjNbTgxqNgg7ju/AgIUDnNUXfOaIyIEBTQeA+3af2R1n4s5csF0/REAEREAEREAEREAERMBNBNwrLFjUrnbt4LEuVAgoUABgwb0gtMjskRjSYgg2HN6AvvP7Jtlj9ojs6Ht1XxSPLg5mizp57mSS+2mlCIiACIiACIiACIiACIQ7AfcKixUrgisseKdotVi5Mmj3zIqLlkOw8fBGjFw6Msl+GfT9yhWv4NS5U+j8W2ckVcU7yQO1UgREQAREQAREQAREQATCiIB7hQUFQDAtFrwp1aoFlBkqqfsanSMaw1oNw+crP0ec+c9fYy2MJqWaoOOvHXEo9pC/3bReBERABERABERABERABMKSgDuFxXmTynXNGqBmzeBCrVHDW88iuL2CmaCm3DkFD/z0AMavGO+396cueQo3VLzBios9J/f43U8bREAEREAEREAEREAERCDcCLhTWGzYAJQqBbD+RDAbLRbsm8IlyI01LEa1HoUpm6bgy9Vf+u39wVoP4u7qd6PTr51s8LffHbVBBERABERABERABERABMKIgDuFBd2g6tYNPsbISKB06aAFcCccYMHIgrZA3rdrv8XXa75OuDn+9x1V78AjdR5Bp986YcvRLfHr9UUEREAEREAEREAEREAEwpWAO4UF3aCqVEkfptWrp4s7lDPYwrkLY3Sb0fh69df4bt13zupEnzdVvgldGnRBl2ldsP7w+kTbtUIEREAEREAEREAEREAEwomAO4XFejPRTk9hQeGSjq1oVFG83+Z9fL7qc/yw4Qe/Z7q2/LXo3qg7npn+DFYeCF62Kr8n1AYREAEREAEREAEREAERSCMBdwoLxkGkl7BgAHc6Cwveq2LRxTC81XB8uPxD/LTxJ7+3r1mZZni9yet4YcYLWLZvmd/9tEEEREAEREAEREAEREAEQknAfcJi504gf34gT5704UZhwSJ5rOqdzq1UnlIY0XoExvw9Bj9v/tnv2RqXbIx+1/TDy3+8jD/3/Ol3P20QAREQAREQAREQAREQgVARcJ+wSE9rBe8CA7hjYoDt2zPknpTJWwYjWo3AqKWjMHXLVL/nvLTYpRjYbCB6zu6JOTvn+N1PG0RABERABERABERABEQgFATcJywYX1G5cvqyqlAB2Lw5fc/h03u5fOUwvOVwjFgyAr9v+91ny4Vf6xapiyGmkvfbC97GjG0zLtyoXyIgAiIgAiIgAiIgAiIQQgLuExa0WGQyYcH7Xz5/eQxtMRTvLHonWXFRPaY6hrY0+/35TrIWjhA+Uzq1CIiACIiACIiACIhAFiTgPmGRnhmhnAcggy0WzmkrFqiIYa2GWXExc/tMZ3Wiz0oFKmFkq5EYvng4ftz4Y6LtWiECIiACIiACIiACIiACGU3AXcLi3Dlgzx6gUqX05RQiYcGLqlygsrVIDFg4ALN2zPJ7nbRwsB7GuL/H4d/r/+13P20QAREQAREQAREQAREQgYwg4C5hsWOHydNaLP25VKwIbNqU/ufxc4YqBatgSIsheGvBW8kGajPw+/1r38dnKz/DV6u/8tObVouACIiACIiACIiACIhA+hNwl7BgpqYyZdKfClPZctm7N/3P5ecM1WKq4b0W76Hf/H6Yu3Oun72AEtElbLG9b9d9i/ErxvvdTxtEQAREQAREQAREQAREID0JSFj4oxtCdyhnSAzUfrf5u+g7ry/m75rvrE70yUreY68di182/4IPln+QaLtWiIAIiIAIiIAIiIAIiEB6E5Cw8EeY7lDbtvnbmmHraxaqacXFG3PfwMLdC/2eNyYyxsZczNo+C4P/Gux3P20QAREQAREQAREQAREQgfQgIGHhj2rx4gCrfIdBq1W4Vry4+GvPX35HVCBXAYxsPRIr9q/AkMVD/O6nDSIgAiIgAiIgAiIgAiIQbALuEhYM3i5dOtgMku6vZElg9+6kt4VgLcXFgKYD8Nrs17Bo9yK/I8iXMx+GtxqOf/b/g0GLBvndTxtEQAREQAREQAREQAREIJgE3CMszp/3pprNKGFRogSwa1cwWQfcV50idTCo2SC8Puf1ZMVFdI5oW8l7w+EN6L+gPzzmPzUREAEREAEREAEREAERSE8C7hEWtB4UKQJkz56ePP7Xd5hZLJyBUVwMbDbQios/9/zprE70GZUjytbD2Hl8pw3+jkNcon20QgREQAREQAREQAREQASCRcA9woKpXzPKWkG6MTHAiRNAbGywWAetn7pF6lpx0XN2TyQnLiKzR2Jwi8E4ePoges/pjfMeY/VREwEREAEREAEREAEREIF0IOAuYVGoUDogSKbLMLVacMQpFRe5suWy7lMnz51Ezzk9JS6Sud3aJAIiIAIiIAIiIAIikHYC7hEW+/d7XaHSfq2pPzIM4yx8L4LiYkCzAaDl4ocNP/huuuB7zmw5beD3+bjzePmPlyUuLqCjHyIgAiIgAiIgAiIgAsEg4B5hsW9fxgsLul6FUWaopG74JUUuwTvN38HN/74Zf2z/I6ld7LrsEdnR/5r+oHvUmGVjcCbujN99tUEEREAEREAEREAEREAEUkvAPcKCFouiRVN7fYHtX7gwQEET5q124drY1XkX3lrwFpKrc0Fx0efqPth3ah9enPkiYs+HX/xImKPW8ERABERABERABERABPwQcI+w4AQ/o4UFA7gPH/aDLrxWl4guYd2iWOciuYDubMiGXk16oUhUEbww4wWJi/C6jRqNCIiACIiACIiACLiWgHuERShiLCgsDh1yzc2lW5QTc5GcuOAFvdb4NZTMWxLP/v4sTp075Zpr1EBFQAREQAREQAREQATCk4CERXL3xWXCgpdCccE6FwzoTq5CdwQi8OoVr6JC/gpWXDBrlJoIiIAIiIAIiIAIiIAIpJWAO4TF0aNAnjxArlxpvc60HUdhcfBg2o4N4VFOKlpW6F64e2GyI+lxeQ9UjamKbtO74cRZU7dDTQREQAREQAREQAREQATSQMBdwiINFxjQIQULuibGIuF1UlwMajYIveb0uqi46N6wO2oXqY2u07vi2NljCbvSbxEQAREQAREQAREQARG4KAF3CItjZrKbL99FLyboO+TPD5wy8Qfn3Vmxuk6ROjYVbUrExbOXPosGxRqg6zSJi6A/R+pQBERABERABERABLIAAXcIi+PHQyMs+AAUKOCqAO6EzyxT0bLORZ95fTB/1/yEmy/43bVBV1xR8gpMWjMJR84cuWCbfoiACIiACIiACIiACIhAcgTcISxCZbEgOdaycEnKWX832oqLZu/gjblvYN6uef52s+s71etkK3N3/rUzDse6I9VushekjSIgAiIgAiIgAiIgAhlCQMLiYphz5wZOuj9jUo1CNTC4xWD0mdsHc3bOSfaqH6/7OFqWa4lOv3XCoVj3pNtN9qK0UQREQAREQAREQAREIF0JSFhcDG9UVKYQFrzMmoVqYkjLIXhz3puYtWNWslf+WN3HcF2F69Dp1044eNp9mbGSvThtFAEREAEREAEREAERCDoB9wiLvHmDfvEp6jA62hvAnaKdw3+n6jHVMbTlULy94G3M3D4z2QF3qN0BbSu1tZaLA6cPJLuvNoqACIiACIiACIiACGRtAu4RFqHICsVngxYLZobKRK1aTDVruRi4cCBmbJuR7JU9VOsh3Fz5ZnT8tSP2ndqX7L7aKAIiIAIiIAIiIAIikHUJuENYnD4NhMpikYlcoXwf86oFq2JYq2EYtGgQpm+d7rsp0ff2Ndvj9qq3W7coiYtEeLRCBERABERABERABETAEHCHsIiNBXLkCM0Ny2SuUL4QKxeojOGthmPwX4MvKi7uq3Ef7qp+l8SFL0B9FwEREAEREAEREAERiCfgDmFx9iyQM2f8oDP0SyZ0hfLlV6lAJYxoNQLv/fUepm6Z6rsp0fd7qt+De2rcg86/dcaek3sSbdcKERABERABERABERCBrEvAHcLizJnQCQtaLDJButnkHvEK+StgZOuRGLFkBCZvmpzcrrir2l2g9YLZonaf3J3svtooAiIgAiIgAiIgAiKQdQi4Q1jQYpErV2juCs977lxozp2BZy2XrxxGthqJMcvG4MeNPyZ7ZsZbtK/VHiyiJ3GRLCptFAEREAEREAEREIEsQ8AdwiKUFotsBlEWEBZ84svmK4tRrUdh3N/j8P3675P9Q3BH1TvwQK0HZLlIlpI2ioAIiIAIiIAIiEDWIeAOYRFKi0VEBBAXl2WeiNJ5S2N0m9GYsGICvl33bbLXTcvFQ7UfkrhIlpI2ioAIiIAIiIAIiEDWIOAeYRGqrFDZs2cpYcHHvmSekhjVZhS+WPUFvlnzTbJ/Em6rcpsVFx2ndsSuE7uS3VcbRUAEREAEREAEREAEMi8BdwgLuiJFRobmLmQxi4UDuUR0Cbzf5n0rLL5Y/YWzOslPiosOdTpYy8XOEzuT3EcrRUAEREAEREAEREAEMjcBdwgL3oNQuSMxxsLjydxPgZ+rKxpV1IqL/6z/Dz5b9Zmfvbyrb61yKx6p+4gN6FYRvWRRaaMIiIAIiIAIiIAIZEoC7hAWnNyHUlicP58pb35KLqpIVBGMbj0aUzZOwUf/fJTsIbdUvgX31rgXl3xyCY6fPZ7svtooAiIgAiIgAiIgAiKQuQi4R1iEanKfhS0WzqNeKHchW+di2pZpGPv3WGd1kp8UFvfXvB8P/PQA5BaVJCKtFAEREAEREAEREIFMScA9wiJU7kgM3lZDwciCNlvU7B2zMXLpyGSJvNv8XTxa91HrFqWA7mRRaaMIiIAIiIAIiIAIZBoC7hEWobJYsIaGxIV94PPnym8tF3/u/hNDFg9J9g/BzZVvtjEXrNAtcZEsKm0UAREQAREQAREQgUxBwB3CIpQpX2NjQ1f1OwwfsXw581lxsWL/CgxaNCjZETLmwskWpQrdyaLSRhEQAREQAREQARFwPQF3CItQBm+HsjhfmD5e0TmiMazlMGw4vAH9F/SHx/znrzFb1MN1HlYRPX+AtF4EREAEREAEREAEMgkB9wiLULpC5cyZSW538C4jKkcUhrYcip3Hd6LvvL7JiguniF7nXztDlovg3QP1JAIiIAIiIAIiIALhRMAdwiJXrtClm5XFwu/zGpk9EoNbDMbB0wcxYOEAnPf4T8tLcfFArQdsQLfEhV+k2iACIiACIiACIiACriXgDmGROzdwPER1ERi8TWGjliSBXNlyYVCzQThw6gB6zumZrLi4verteKj2Q+jyWxfsPbk3yf60UgREQAREQAREQAREwJ0E3CEsoqOBU6dCQ5jCQq5QybLPmS0n3m76NuI8cejxRw+cjTvrd3/GXLDWRaffOkEVuv1i0gYREAEREAEREAERcB0B9wiLkydDA1euUCninj0iO/pd3Q+Mveg+sztiz5tsWn7andXuxD3V77EB3RIXfiBptQiIgAiIgAiIgAi4jIA7hEVUFBAqYcF0s7SYqF2UAMVFn6v6oEhUETw/43mcOuffynR39btBgdH5t87Yf2r/RfvWDiIgAiIgAiIgAiIgAuFNwB3CghP7UAmLI0eAvHnD+y6G0egiEIGejXuiXL5y6Da9G06cPeF3dHSJomvU09OexoHTB/zupw0iIAIiIAIiIAIiIALhT8A9wiJUMRbHjgH58oX/nQyzEfa4vAdqFq6JrtO74uiZo35H175me9xU+SZruTgUe8jvftogAiIgAiIgAiIgAiIQ3gTcIyxCZbGQsEjzE/zcZc+hYfGGVjQkJy4eqPkA2lZsa2MuJC7SjFsHioAIiIAIiIAIiEBICbhHWDDWIRTtqHnbLotFmsl3rt8ZLcu1RMdfOybr7vRw7YdxfcXrbSraI2eM+5maCIiACIiACIiACIiAqwi4Q1jkzw8cPBgasLJYBMz90TqPol2ldlZc7Dm5x29/HWp3QItyLay4SM7C4bcDbRABERABERABERABEQgZAXcIi5gY4FCI/O9ZmE8Wi4AfUMZSMMUsLRc7ju/w29/jdR/HVaWvQtdpXXHsrIlvURMBERABERABERABEXAFAXcIi0KFQmOxOGEyGjEjVUSEK25muA+S6WVpvWBxvC1Ht/gdbsd6HdGoRCObVer42RBVXPc7Om0QAREQAREQAREQARFIioA7hEWoLBa0VtANSy1oBJgBqkuDLugyrQvWH17vt1/u06BYA3y1+qtk62H47UAbREAEREAEREAEREAEMpSAO4RFzpxAZCTAiX5Gtn37AFpL1IJK4Nry16J7o+54ZvozWHlgpd++uzboisOxh/Hs789KXPilpA0iIAIiIAIiIAIiEB4E3CEsyCoUVgsKi6JFw+NOZbJRNCvTDK83eR0vzHgBy/Yt83t13Rt2R8UCFe1+sedDlBnM7+i0QQREQAREQAREQAREwCEgYeGQSOpz/36gSJGktmhdEAg0LtkY/a7ph5f/eBl/7fnLb48vX/4ySuUthe4zu+NM3Bm/+2mDCIiACIiACIiACIhA6Ai4R1iEIoBbFot0fzIvLXYpBjYbiN5ze2POzjl+z/da49dQLLoYhvw1BOc95/3upw0iIAIiIAIiIAIiIAKhIeAeYVG4MHD4cMZSkrDIEN51i9TF4BaD0X9+f0zbOs3vOV9t/CqOxh61Fg6JC7+YtEEEREAEREAEREAEQkLAPcKieHFgh//6B+lCj8JCrlDpgjZhp1ULVsWIViOsRWLypskJN9vf2ZANb1z1BrJFZEPPOT1luUiSklaKgAiIgAiIgAiIQGgIuEdYlCwJ7NqVsZRkschQ3gzSHt1mND5c/iEmrZ2U5LmzR2THW03fwtnzZzFm2Rh4zH9qIiACIiACIiACIiACoScgYZHcPZCwSI5Oumwrk7cMRrceja/XfI0JKyckeQ5aLvpf0x+rD65Gv/n9ktxHK0VABERABERABERABDKWgISFP94nTwLZs3srb/vbR+vThQCDtMe0GYNfNv2C95e9n+Q5cmbLiUHNBmHH8R0YsHBAkvtopQiIgAiIgAiIgAiIQMYRcI+wYFaoEyeA2AyqZbBlC1CmTMbdCZ3pAgKFcheyblELdi3AZ6s+u2Cb8yMyeyQGNx9sK3gPWTzEWa1PERABERABERABERCBEBBwj7AgnIyMs9i+XcIiBA+k7ynz58qPka1HYt7OeXhz/puIM/8lbFE5ojCs5TD8ve9vfLry04Sb9VsEREAEREAEREAERCCDCEhY+AO9bRtQtqy/rVqfQQSic0RjSIsh2H9qP16b/RrOec4lOjPFBff5ZfMv+OifjxJt1woREAEREAEREAEREIH0J+AuYVG6NLB7d/pT4RlkscgYzik4C+Mp3mn+jt3zxRkvJll9m9aN4a2GW3HxxeovUtCrdhEBERABERABERABEQgmgRzB7Czd+ypVCti6Nd1PY09AYXHrrRlzLp3logRyROTAm1e/abNAjV02Fo/UeQR5cua54LiYyBibUeqpX58CLR23Vknl/Tt0CNi0ySteKWCZFYxFGY8dA44e9cb3MMbnnLGanDfVv+OMa1YO80eIQf6Rkd5A/zxmTAUKADEx3hooJUp4XeoYr8M4IbXMQ+DIEWDDBu9LCP594TwvfGYYD3bmDHD2rPd5yWbe4fBZyZUL4DOSP7/3OSlWDHCekcqVvd8zDyFdiQiIgAiIQBYjEOExzTXXPG8e8PXXwJAh6T/ktm2Bzz7TZDD9Saf6DAzUXrJnCYa2HIqCkQUTHb/75G50nNoRT9Z7Em0rmvuYVKM4WL4cWLIEWLoUWL/eKxSqVgWKFvVO8Chk8+X738IJISeHXHLmBPhHhwLDERoUH5xQcuEk8+BBb1FHTjp37vSOokYNoHZt4NJLgTp1vKIkqfFpXfgRoJCYPRtYsABYudJ7nytW9ArH8uW9QtIRlXxunOeEopMiw/c5oVjlwto8fFYoaClSTp8G6tYF6tcHrrkGYL9qIiACIiACIuAOAhPcJSz4j3CnTsD336cvXk4Mb74ZmDYtfc+j3tNMYNzycfh1y68Y2WokikQVSdTPtmPb0Pm3znjusufQslxL73aKgFmzgN9/ByhSOWnjBP+yy4BKldK/yjonkOvWAYsXexcKjquuAq67DrjiCiAiItF1aEWICfCZmTkT+O47771r1Aho2hSgQCxXLviDozjl87FsGTB9utcKdsstwI03AnnzBv986lEEREAEREAEgkfAZcKCF96iBTB5MhAVFTwMCXvi5K9/f+DjjxNu0e8wIsAiet+s+cZaLlhYL2HbdGQTnpn+DF5r8CKumLUF+PZb72SwpREarVp5LREJD8rI33SZociZMgXYvx+4/36Ak0haQ9RCT4D35aOPgOLFgdtvB5o1y3gL04oV3ud2/nyva+ZDDwG5c4eejUYgAiIgAiIgAokJuFBYdOgA9OgB1KyZ+HKCtYYTCv5D/sYbwepR/aQTgcmbJmP00tF4r8V7qFKwSqKzbPnPJ9jRrwcqNr8dJZ94HqCrUzg2itmxY70uMc+bcV55ZTiOMmuMac8eoF8/r/tS587AJZeE/rr37gXGjfO67vXq5XWjC/2oNAIREAEREAER8CUwwUQUuqzRp5n+yOnZ6G9fJfEkNT1Pqb7TRoAxFN0bdUfXaV2x4oB5u+vbTCxO+S9/RqEBw/DoFZuxstBZ363h9Z2CZ9Ag4NVXgW7dgAkTwmt8WWU0dLfs2NEb4/C+qfoeDqKC7Bnk/corwJNPemMwVq3KKndE1ykCIiACIuAiAu4TFhUqAKyKnZ6NQZQSFulJOKh9NyvTDH2v7ouXZr6E+buMpYlt4EBvHIV5y1ujxT1446o38OLMF7HhiLm34dwaNPC6R02aBAwbFs4jzXxjY4A1LaH33AM8+mh4Xl+bNt44oZdeAv76KzzHqFGJgAiIgAhkWQLuFBayWGTZB9bfhTcs3hCDmg1C33l9sXy0cRUx2XU8X36Bfv8MtWLj8hKXW8vGs9OfxfbjJmg6nBuDdCdO9GYfmjo1nEeaucb2+uvAbbcB994b3td19dVA797eODCmP1YTAREQAREQgTAh4D5hwew9mzenHz7WMmDueaYcVXMVgVqFa2HkVe8idtz7WHjjJXh6ele8tfAtvDn/TXsdLcq2QMd6HdHlty7Yd8pkaArnxhSlPXsCdMdhZiK19CXADF3MxDRmTPqeJ1i9M5MZ61788kuwelQ/IiACIiACIhAwAfcJi7JlvRl0jh8P+OKT7EBuUEliccvKCqv3oOaVt6L7usH4cvWXOHHmBBbtWoTft/1uL6FdpXZoX6u9zRZ19MzR8L4spjQtYlLpss6GWvoSYH0Kpv1lATu3tHbtvHU13DJejVMEREAERCDTE3CfsOAtqV4dWL06fW6OArfTh2tG9bptGxblOYhVB1bh8GmTztW0vSf34vU5r+O8x/vm/65qd9naFkxFe/LcyYwaWdrOU6tW+icrSNvIMtdRa9d6a1O46aqqVdOz4ab7pbGKgAiIQBYg4E5hwTe5a9akz+2RsEgfrhnU64a9q/Dl5u+x/6SpC+HTKDS+3/B9/Jon6j6BOkXq2IDvM3EmaDdcGivLM60oa1ywMVlBTIz9qv+lIwEWJ3RbgULWO2E1bzUREAEREAERCBMC7hQWzNySXukW6QoVrrUOwuShCedhVK5xFV4seS9alGuBknlLmsmid7QHTh1A37l9EXs+Nn743Rt2t1W7Ry0dBY/5L+SNtQqeew5gHQtmh3r4YW89BVro1NKXQOnSwMaN6XuOQHufNg0oaZ7p//zHW2ODldxV7yRQqjpeBERABEQgiATcKSzSyxXKZBKygeESFkF8xDK4q6uuQpWVezH9lin46faf8FS9p1AufznkzpEbGw9vxISVEy4YUM8mPbH16Fb0X2AqrYe6xcV5Yyry5PE+h6xl8c8/QOvW3kDu5ctDPcLMe37Wq1i8OHyvj3833XgjsHu3NxXupZcCTz8NsK6PmgiIgAiIgAiECYEIj2lhMpbUDaNlS+D//g9gas5gtSVLgFGjgA8+CFaP6icUBPr0sW92zz3yiPEoOoyNezfim/Xf4OttX2P7qe2YUH4C4k7G4eTJkzhx4gSOnzqOP8x/UWeiUOVoFZwx9QxiTRpPLudNRiYucWbS77vwsvg7W7ZsiZbs2bMjR44cJg44FyJNdid+OktUVBRy586NPEY8cImOjo7/ni9fPhTInx9FjDte3h9+QLbPPvNmhGKiAnMeszMwfTrQqFEoqGbuc1LUsX7Fm296Y7gSXO0543K020zq9xqr0oEDB+xzdchkkDt69CiOHDlinyU+T1z43HB/Lnx2+FdshHGz4nPhLHwGuPD+c7H3vkABFCxY0Hi+xdilePHiKFGiBPjM2MbUw7RosYgfs9eZ/lCuHNC+PfD440D58glGrZ8iIAIiIAIikKEEJrhXWHTqBDz2GNCwYfCIcSJnJg228nHwelVPQSbAydsuM7nas2ePneTtMy4h+/fvt9856Ttmvpc0Qdx/mwlZHjNJK2AmbIUKFUJknkgcz3scVXJXiZ/Mc1KX14jTnMZf3VcE+H7n8DkhdCaHjpjgekdsOBNIfnK/0+YNMwWK7+JMOI8dO2YFDUWNI264P0UQJ6nOcqXZXtAIk+vMhLaSua4okwb5P/36IcpY1IqadMiJJp4ckFraCZjUrSc//hh/du5sanBuscvWrVvts8Z7UsxUvy5tXKb4PDmTfz5XjkDks0QRwN/Os8Lnhs+WIzL4fHA5a+7lcSMYef9PnTplPw8ePGj0wiG7ULDs3LnTihmK1FKlSqGsyYhXwbhCXWae/doffYQc5vgIs59Rsd7K3J9+CvCFi5oIiIAIiIAIhIbABPMvkksb4yyYGSqYwoJuJ6xsqxZyAhQLnNRx2bFjh10oJrhwUlamTBk7uS5cuLDJyFrEhMVURePGje06vvXl5I8TPTc3Cg9OaCk4Vppn/YSZ7B4y17Tu77+tkKKY2m7qL/DNd0kz4eRCLpyEljNvssubN9ic+KolTYCT9yXGSrncuJitNnzXmIQQlc0kvaipel7cZFyqV68ebr31Vms14DMWqsZxUkRvMoVB+efhWzOQz83fe7Hm+4Pm2ahhBEkuWt6MKCkcqkHqvCIgAiIgAiJgCLjXYkGXEAYzmje4QWv0Yf7wQ5hXwUHrUh0lT4BvbNeaVJ9c1hsXoM2bN2ODCaDnW1++oeUEmQtdQpzJM0WD2v8I8C03BRdddfjpCDKKDlpJKpmikhWNL36VKlVQzUyYKcIoRrJao6VgsYmjmDNnDv7880/Li+KhgQmUJ5caJttcfuOK5pbGe7tu3TrsMn8X7pk3D18bCwataQ2N6LjSBHVfccUV1hrnluvROEVABERABFxPwMWuUOZtLR54APj55+DcBfNG0LpW/fhjcPpTL4kI0NecE6F/jGXIeUvMN7HVTTB+ZVNF2Jn4UkjQPUktcAJ8202xRu4UbhRtFHG0bHAiXadOHdStW9fyD/xs4dcDxcT8+fNNgepf7CcFFifdXPi80WUpMzVa9yie/vjjD2uNqWksu9dee63xkGppxXpmulZdiwiIgAiIQNgRcLGwIMs77wTefTc4QYu0gJjJBwYMCLu75OYB8e05J3Z//fWXnfAwNqB+/fqoZQq/cUJLEZHZJnfhfr8YF0K3Ggq8lStXmsLeS63LFd/cX3755XZhLIGbG603EydOxJQpU6xL2HWmqjYn126ySATKn/E9ixYtwuTJk7FgwQJcZTKm3X333ahdu3agXet4ERABERABEUiKgMuFRd++ANNE3nJLUheXunXDh8M4pHszrKTuSO2dgMDfJgZguhFqc+fOtYGqzmT1UpMiU25MCWCFyU/GcSxcuDDeVYgWo6uvvtpOxvnW2y2NQdfvv/++fVt/00032Yk0xWxWb3Q5/Omnn/C1KcBIcfXUU09ZV6mszkXXLwIiIAIiEFQCLhcWJiWnmUEAr78eOJVHH/VmgzI+12qpJ8A3xP8xhbv4hpjioXnz5nah64ma+wjQder333/HzJkzbWardu3amTIKN9pA+XC8Grp8DR061IrZR82f5Ztvvtlm+QrHsYZ6TIwxGW5epDCw/6WXXkKFChVCPSSdXwREQAREIHMQcLmwMG42ePZZ4LvvArsdJqMKzNtN/PqrNzd8YL1lqaOZSWf8+PHWneaGG24AJ6AMFlbLPASYMYnuNL/99pt1k3rYVAQPJ8E4a9YsDBw40D57Dz30y/wRnwAAQABJREFUkOuzgWXEk0N3OL4EGDFihLXqPGJqvqiJgAiIgAiIQIAEXC4sjHkfbdt6LRYmGwpMfQCTEN67GP9i86qVhQa8jBikyYJSzPkeGektNmYyD5nKVMDGjYCZnGD0aJhKZgEyzRqH00LBt56rVq3C/fffb9NyMt++WuYlwHoL//73v/HVV1+ZGn2NTOHnp0OezvZX8zLgvffew9tvv228Io1bpFqqCDB5Ql/jUsp0ur169VK8U6roaWcREAEREIEEBFwiLIybg4kyhUltA5PWBiafJkwCf5iStt5PkyrSRCR6RQKFAsUBq9VSSFBwcMJrquDaZlI0mhyc3oX90loxY4a3wjFTcDKVqakHYPwDYF7Leqvw0sc8C6bn9AJL/H9nMnfffffh3nvvtQXAEu8VmjXMfMRAcaexqBljPJi+lu4yfEvLKti33Xab3cVZxx9OQLlzLF2BWrRo4fxM1SeL4NGnnbU06JaTmRqL+U2YMMEUvv8/vPzyyzYWIxTX9+WXX2LUqFH4/vvvwXomKW2zZ8+2dVG4PxMH0MLG+B+manWeHwavM8aEzVnH782bN7eFCfmdLZBnxNvDhf9nIL3Dlc9pRjRaLzqbooAsCkl3MjUREAEREAERSCOBCWZuHobt3DmPZ+FCj2fwYI/nvvs8nuuu83i6dPF4Ro/2eCZP9nhWr/Z4jhzxDvzrrz2ed94J7CIefNDjWbHC28ehQx7P0qUezw8/eDzvvuvxdOrk8bRo4fE89pjHM2bM//YL7IyuPdpMpIyag8e4QIXlNZjc/p577rnHY95ee0wAuad9+/YeUyjOY4J67XjNG3c7/n79+sWP/4MPPvBcf/31HlMJOX6dmTx7jCjxmLSd8etS88VUALfn7t69e2oOc9W+K8yfGSPGPEbIBXXcp8+d9oxaMsqz9tBav/2aBAGetm3bevbu3et3H38bTKC6x7hyeYxLl8cITY/JhmX+iLfwmAm2x6Sn9Tz33HMeY33zzJgxw3ZhsivZfc0bfbvd6dcU1/OYeCKPEZHOqoA/TQY1+3z6PosBd5qCDnjtRoB7vvvuuxTsrV1EQAREQAREIEkC483r/DBqJt8+3nkHxlka+Phjb6G63r29tSqYtaljR8D48ZvCBzCpTbwDZ+VtUxwqzY1Wi507YZL6e7swVZtNyV2YSFXg+edhXokCU6cCXbt6rR8syHf77cC4cTDlj9N8WjceSEvAuya9L1PIsqBYMBurSJ9zrEr/7ZiVp30bf/PtKvc1j7PvJmN48u7Lt7ysz0BLBa0No417G6t4/8BAf9NYEI1pbnv27GmtF1zH/Vi1m1YNp33zzTe2iveQIUOcVfaTdRHoEmSEgx2L70ZaKZzGwFiHEcfMauHO9fGT/bDx7T+b77Hs37fxWKYOdZrDgYXx2NiH893Zh+Njn855uN5h5OwT6CctPHSLuuyyy2zl6kD7c46fv2s+es3thRZft0DTr5rig78/wI7jO5zN9nPs2LEmvOpZe48u2JCCH0wuwDTHLBRoBKX5K+cda3lg6l1aLfh8MBMWU7Nu27bNWuSuueYa+5xwu9PGmb8DaCn5mH9X+TTn/jjPKe8BLWO8hyxqx++8p05jxiYubCxqlzD9su994z3lb6dP5/nhsTvN32MJnx2uT0njOWkpIde09pGS82gfERABERCBzE3gf/9KhvI6TYpI/Otf3qxMZkJoooG9E3rju29mZ8mPjIHCdG0yhaHS1Og2Y+oqWJcpfx3QlYpi4/HHgc8/94ofTmQffBAmahRmlunvyEy1nu4vnMyxInawGgWCeXNsg0jpfkLXKlaM7t+/v/X9pi8/C7r9aAoXMm3oY489BtYk+BefF9OY4aZPnz6mpMmdeOWVVy4YFidfdFXhZK5p06bx2+jC9cwzz9jYELq55MyZ03jNGbc5n0Y3Jk6amemKBebYzBt6W1SNaUwZpM6J9UYTn8NJfLdu3fDZZ5+BffNY38Z9OJHlOdmYiWfkyJFWpLEwIN1QWFuA2YyeeOIJGyvwxRdf2H0//fRTGz/A8Zu3yeB6ViHneRhTwMktr5vBy8OGDbPHMN0qjzPWGlvHgEXTehuBzjG2adPmArFhDwjgf5yEf27+TDjjDaCrRIfuOLYDs7bPQrfp3dDk8ya44dsb8MXqL7DtwDZbf6NVq1aJjkntCk7Mp5oXBywYyHvhNLJkgPrt5iUC90n4jPCe8/kyFinLneKRLannlKKB/fCZZjpcCjEKVzaKGiY/YMYtfvo29pnwzwHjIfjsUZwwUL0rX3iYxudm2rRp8e5bvv2k9Hvx4sVtsUoW2FMTAREQAREQgbQQMDPmEDb+Y8x/TPmPLLOS0Brg80YwxSMzb5tNBSivJSHFB/13RwoL8w99qhrFjJmkWaFhJtvmX3igSxevNSVVHblrZ1oqgh0gS2HAAHBOqjgB5lt+pjo1bijgxJFvdo2rEgYNGmQnd/TpZ5B48+bN7YSblgdWFubEfPDgwXaiR6rMZMS3zhQVxmXFvoX2pc3+WG/j1ltvtbn9fbexngN97lmVulmzZnbiyL55DuNWZW7741YA3WLqp7AuAH3TaYXo1KmTHX8X8yxw8uc0VnjmuB2rCSea3Jdvw9966y0bBM+346wtwCxbnJyOGTPGlGe5xV43BUKpUqXs9bLYYIcOHazo4sSXYu9BI3ApvjhJpXjhBJNv0ikweP18C21chuwbek5ofzbV6n3H54wzrZ+09gxcMhBL/r3kol1kj8iO8x6vtcbfzkfOHLlg06lzp7Dt2Da7UGicOHsCD5Z+0FoXLtgxlT/4hp78GUtBa1xunzgq3lMKuYbGItrRWEpbmuJ6vu3DDz80f2U9YsUl7y3vGWNpKBAoQhI+pxQTbHy+KUjZ+PyxSOEnn3xiLRW7du2y653/MdVvwj8HHAefz5iYGPts0srCRgFMqwpjTgJpFMAM6FYTAREQAREQgbQQCK2wMP8g28xNfDtr/qFMczPBuSYXZtqEBetgpLXAHl1nzATRvEKHmYnCzEC9IiPNFxLeB9K9iG9cg1lwjJNuWgQ4GeZbYE54KTKaNGmCHj162MWhQjcUujoxINpxCeEki5M6ruPE2ml0h6IbE11L5hlXOb5Z920UJ5xkc+JIKwgnhE6jkKEFg2/485lkAJxEvvHGG/Y7x+C4THFCShFEQURxw8Zxc5JP0eDbKEZoWaEFpaBxt+Pkk2Nw3oRTCDgTWxanMz72MPEddgJJDr6NDHgveCwn9b2NNYIWDYoINr7VpgWHwoyTUwoJZk2iy1fCvnz7Tet3Cs5rI67FwNuM9S4Ibeb2mbjr/+66oKciUUVQMLIg2lZui+tKXIdRMwKbQLNzCgEKPGa3ohsRmfo2irlvv/3WilgKVef5oqWCzxzvOxtdqvisOUH6CZ9T3z59v1MMMBsTG4Vswsb7lvDPAZMPJNVouaLgpPCYNGlSUrukaN3Bgwetu2CKdtZOIiACIiACIpCAQLYEvzPup3kDjCPmzSR92AMRFRyxmTyaV47ezE6puQK+IeQYzMQgoEYLBieSJv7AvH4MqKtwPpgTJ7p+OLECwRgrJ9R0f6I/OifwfJvLLE4TJ060QoMWC8fFxzmfE1/BCT7f2jsuJBQnzKrDY+hGQgsD39bTXYSZgNg4YT/Ce24az82MQsuXL7e/+T9OMDlx5Nt+ZsjhOChaODanOW4vy5YtsxYP1u+g5YWNfVPUJHQX41g5geWEn+l52Zzr4Hee0/c31/EtN0WRMz7Gizi++M6+tGbccccdMAHI8cfz7TutNJyU8hrI86OPPrI+/pwMM5tSsBr9/cmK7mHBbHGeOBTMXRAVClRAhzod8MWNX+CfR/7B0BZD0bZmWyu4eI1pbc4zwsk4GdI6xFgcNt9nhAzptraAFtH/NqbcpRsS2XJhjAUFI5893+bcI66jCHTuHT95v6+88kr7fFGI8pwJYzWS+nOQVD/sn0Kb1q4NJmses7alpXFcjrUuLcfrGBEQAREQARHgZCTj29SpHpOGx2NSrATv3I884vGYLC2pahMnejw+2YFSdWxSO5tsM5527Tye9euT2pop1hnXEZvtyAR4BuV6jBuUJyoqymMsCh7z1t1jLAMeM1m158ifP7/N/MMMVGbiZrPlGJHh4WKCTT3mbbzHuLPYDD9GRHjMm3qPcS2xGaGMVcAk9jKZvUwzE3qPEREeM6G2GaPMG+YLMhkZdybPm2++aRKNHfGYt/we4x4VnyHKxGB4jEuUx1hpTKKyhTZ7UOvWrT1GrHiM37yHGYPMW16TvOw+j5lkekzsh800ZOJEPGbiaDPtmDf6dhzGxcRjxIL9zv8ZdyybfciIHs+LL77oMQLGw+8m5sJTsmRJjxEU5vHs5+G1GOuIx7zh9hihYzkYK4Xtx0yMPdWrV/c8//zzNkORifPwGOuL54UXXvAYtyiPKR7nIWMeb97Aex544AGPiRmIH0MgX0zAuB2LcdsKpJtEx+47uc9z43c3er5f/73nSOx/s78l2MtMnj3GfcxjRG6CLRf/aawNHj5bzAZlxKHlwftirAYeZg3jdyMWL8g4xXtClrwnzCjF58VpzBxmXKc8xjrmMRaOJJ9TPju8j3y22L+JibBjN/FF9r7fddddNnOZERfxTJP6c2Am/x7jrmT/rDArFv/M8LkyMSL2eTIiyT6PzthS8zlgwADbR2qO0b4iIAIiIAIi4ENgfAR/ZLi+Mm8JjTO4130oWCc3PukmnQrw5JMp7/G552BeOcM4K6f8mIvtaQJ+sWmTNxj9Yvu6dDvdPn6f8zu6PN8FbZq0CegqGPDM4Fi67TAglcGqnxirjxEb9i0sXZEu1mhB4RtoHpPWxjfGdEG6WKOrCeMYmpsYD7o0+Ta6cjEbVMKsPs4+dG2i6xRdr1LTaBWg1cRfv7x2vskmB7pX0aLCt888xjeLEd9qp4RnSsZGCxDjVBijEqqqza+++qq1MtCSkzD4PiXXkJp9yJZWBsZepLUx2xLd3dgX75fT6MKWXL8J7xvH4dxr57p5z/mcpPX+sq4Lj2VsTyB/jpxr0qcIiIAIiECWJDAh42MsmE2JvslJ+BQHdAvoDsUYh5QKCzOZNdGTMDPZgE6b6GATQGkcsxOtduuK7ce3Y+vRrXbZcnQLth4z38tvxc48O9FzfE9M/W5qfBBrWq7xNxMbw6BVTo7ppkOXHmdik9JJEifTXAJpKREVnNDRB53BrQlFBc9N16qkGsUE3Z8YG8GYh9Q2J6bD33HOJNVhQDGR1PWklKe/83A93X3oFsb0tow7qc+MaiFqxpqD3ia+hJnKGL/CgOb0asF4xpzn2rlfzliTExXcJ+F9o5hwBIXTB+95wv2cbcl9UqDQTY5xMkwMkHBsyR2rbSIgAiIgAiKQkEBgs7GEvaXkt3krbWZlKdkzdftwgsOJhXkra16Bw0S+ApMne9PWJvWWcdEimLQ/3grdqTtT8ntzcvlfH/7kdwyfrafPnwZFw+Yjm72fR83nkS3YeWInCucujHL5y9mlWqFqaF2+tf1eNKoozj963ua+f+2112zWIqbUZGaa1ExOOEldZO4FYyw4+WaNgXBtzOBjiqfZ4dE64U9IJBw/KzszJaxxoQpYACXsOyN+8406YwiYJYkxJIxLYMpfX2tIRowjqXNQWPAtO+MkGJjOLF5qKSPAeIzXX38dTPNMC1Rq/tym7AzaSwREQAREIKsRyHhXKBb6atsWJsLQ67oULOIma4uZ9cG8/vbWleDknllyTPCuKZSQ+CwDBgAVKgD33JN4WyBrWJOD2a6CGCAbyHB8jz1+9jg2HdkUv1BI8Pfh2MNWLFTIX8EGy/KzfIHyKJ+/PHJEXFx70g2Dbj4MhGb6S06gmaWIwafhMPn0ZaDvKSNA6wzfYDspT2mZoNsTg5n9uWSlrOf02YuBy8yGRfcvWjCclK7pczZ398ogdaalpaBn5jP+eQ3He+puyhq9CIiACGRJAhMyXliQMwvNsYo2q2YH2igcjI+1cbaG8VGBcT6G8RPwVu02riemahlw1VWJz2IyHNmq2qYwVlAbYyyYIerFF4PabWo6O3nuJDYc3mAtEOsPr48XElxfqUAlKx4qFqhov1M8lMxTMjXdJ7svLQ90b+IbbqaRZbpXFrmjyGABLrXwJcDChMy0xLfXdHliKmCmqGX8S3q6GQWLCAUuMyIxExhTx7I2CMev5iVA0c+ij8z8RDbMxkYhpiYCIiACIiACQSIQImFhcsDbuhNMNRtIo5AwZnwTVWldmkzaFXiMK9RW8w/mJpPyc5sJpD1tfPedQEcGTjK4towJoqxuKhNHmQJZQW0UNSadqCkaAJNzNKhdJ9XZmbgzVjxQRGw8shEbD2+0guLomaOoXLAyqhSsYq0OFBFcikVfmKc/qT6DuY5uM0yXyjffTIFKX/J6poI54yhYvM630nEwz6u+UkaAaU5ZnJBigsXaaKVwRCBToSYVp5GynkO7F6+DFjTWKdm9e7cVRnTdYr2JrNbossd6GL/88gsYPG6yT9laMReL28lqnHS9IiACIiACQSEQImFBIcBK28znf/31ab4SJrQ6aPz6z5g6BD8bgTHVuFlFliiBkpUro2DRorb4FIMcKSj4jyoDhOkGcNQIkk3Gv/iQ2Z+1DujmwdiAgCe6LNDG4PRevdJ8Tf4O3H1yN9YfWg9aIJzPXSd2WeFAK0SlgpWsmOD3YFog/I0nLetZXI9vwnut6YV159Yh6nAUyuYsi7pF6+KSspegUZVGaFyrMSJzpj3zTlrGldmP4XNv0ubahX71fHO9ceNGa0FidXEWD6TYo699Zmt85jip5sIYArpyXWUsmLzehAHQmeXaea9NalzMnTsXtEIxgxkLOPKa1URABERABEQgHQmESFjwipiS1RQMQ8+eLFecqmtk9iD687MKLQNo+Q8n34RzgpSaAESm5OTbWhY6Y3E1xgPQj5xVmFMdRGzejtp4DlM8y6RnSdX1+O58Nu6stT6sPbgW6w6vsyJi7aG1yJMzj7VAVImpcoE1InuEcftyWXvu9+cw5K//WatMTidEeiLhOeuxb83P5D6Dlw68ZIvMmZz99rOEEYx0b1HMRtI3m25AzFbFN/ScTLPyNxcKCGayYsE+vrGvVq2a/WQRPydLUdI9Zr61nHCzkCEXciEDvlRg1WtycaOFxtRRsddCwe78XUa3NVqcuPD6MquAynxPqK5IBERABFxPIITCguyYmemJJ7zVqs0/gBdrfPvG1Ij0EWa1Y2YhMoXELnZYirczAHTSpEn2bV+7du1MzPfDMIW0vMcbEWJKIQMffABcffWFfRoxETtiCLZ/PhKVS5hMUylsDKamaFh3aB3WHFxjv28/tt0GUleNqYqqBauiRuEaNhYif67/jiOFfYfrbrzmYUuGoc/cPog9Z4LrfVquHLlQNm9Z3Ff+PrTO1dqmwGQaTFbDppjkBNkUqrP3nG/X+b1IkSLxC0Umf2e2QFSKBrq00NrGGBbnO3+TDReu57WTiymWZoVEBZOcoHz58nZdZmPi89ik6Strp3AyzoVuYPyzzwk5XfRYzd1hR35OGt80nSiIB/HvP4pGLoxfWm0SVlA8cqy0vNIiQSGR0mxlQRyauhIBERABERABEgixsOAQGOjM2hOm2FWiCTu3m0afaQoKprtkWkn6CV8s97v3yLT9nzn6x48fj6lTp6JTp0646aabYMwYMCYSmFkbjHkDJrLV27kJDp8zbRyevHInzmWLwJrH1iR50hNnT2DlgZVYfXC1FRH8PBR7CNViqqF6oepWRFBM0KUpJZmYkjxJGK087zlvU9cy6xTFE+NA6MJ17OwxUCQt2LUAu46bDF5sEQZr3jK4p8Y9ePnyl1Ekqoh3fYL/8zngG3nWveAn39BzQu27MK6D/uOsM0Grk7Nw0sj1DFb1/eR3vqmmpYt1JnyXBKdP00++UfZdmLqVhcxoLeOn852/WSCQ43eWw4cP23XcxuugcKCYcgQUg+FpyTEVta01R2+m03SL4g/iJJ1xJ7RsOBN4ija+XPBlzWeLsVrOp/M80QLE5yeljYLRuf8UOhSMvOf8+4fPAM/t+5zzvtOCR7HDFMa0stB9M1yET0qvW/uJgAiIgAhkWgJhICzI1vxjbhL9w+QohZnJw8zy4onv3bvX1gDghOr555+3E6v4jen8hRMMFuFi/EX76tURaYLCbXE/pss1Qmf/r9+j1+qh+K7Efuw+tRdl85fF7Ptm2yDpVQdWWRFBMcHvDKimcKhRqAZqFa5lv5fLVy6dryD9u/fAgx3Hd9jAcdbCoPWFgeS0vJTMW9IKJgaO04WLweSM/zhy5gjqflIX245uQ9Hooriy1JXof01/yyXQETPuxpmYO5+crLF6MX87E3rnkxM7Tuq4OAKAk3+nmrUjYDlppxuWs3Ayx4lhwoXih9YB9ufbhyNYOPlkzI8jcDgpdcQNPykgEooirlMLDQE+T7QMOW5m/KQA4OSfz5XzbPF54sL7z/vIZ4DPDBfeez4L3OYs/M3njfvyWaC45X13lmP5j2FZjmXoXKMzapWrZYVNatw8Q0NLZxUBERABEcjiBMJEWPAuHD8ODBwI45MAU7UJxrZvJ4N0dRo8eLAxahirRggaJwLvvfceVqxYgXHGWpHdjMVjLBPftCyM11vHYfPZPThj4iLYCuYuiPrFvC5ddGOqXaS2FRI1C9eE20WEr4BwamFQQLAqNy0MFA/MRMVPWl1YCyNntv8JxIS3rt74ejh97jSGtx6Oa8tfm3BzWPzmxI8ZxfgMJBQQnHByXULBQeHBdRQeqXl7HRYXrEEETIDPCkWlIyD4/PA5cZ4LR2xQsF5MKEzeNBljl43FB9d9ABakVBMBERABERCBMCcQRsLCIcWK2WYif8jkn3/AZHJ57LHHbCyFszlUnwNMQb1fTcD4p7vX4omWBzG/YjYcyB2XaDid6nfC8FbD4cagal4Mg8e3HttqK29vNhW4WURv27FtthaGIyAoHnwFRGT21GdxonWjRJ4SSMuxiaBrhQhkUgIT107Ed+u+w5g2Y6wLYSa9TF2WCIiACIhA5iAQhsLCgI01vuZDTQG72qbIHIOow6W99NJLGFz0HRQ5GYFs5+NwMm9OHM1+Dnx77bSmZZpi5r0znZ9h+8kgalocthwxgaBGQHCiTxGx79Q+G+/gVN6m5YEigoX0JALC9nZqYJmYwAfLP8CcHXMwqvUoROdQQbtMfKt1aSIgAiLgdgLhKSyGDx9ug1ZfZUB3GDW6NDz81MN4ev82ZF86G3tK5MGuZx7B2tI549/sM2h5UXuT7SoMWuz5WGttoLsSrQ60RDCugd/jPHE2+1SFAiZzkBENFBD8LJW3lGutLWGAXEMQgXQhMGTxEOTNmRcP1344WRfDdDm5OhUBERABERCBlBEIP2HBDD8PPvggvvrqKxvImrLryLi9GGsx0FguPjGxIBEmyBczZsCkZsm4ASQ4E12Xdh7fie3Ht2PHsR3W8uAIiMOxh1EmXxkrIMrmK2vjPBhgzu8xkTEJetJPERCBcCbwxrw3cOzMMQxoOkDiP5xvlMYmAiIgAlmXQPgJi08++cSmD+3evXvY3pYnTO2NJ0362Uasa8H0s+ncTp07Za0MzLS084Sp6WAEBD9piTh4+qCNVaBY4GKFhMk2RQFRIrpEOo9M3YuACGQUAVpD/zXrX4jKEYXeV/Y2WZpNnmY1ERABERABEQgfAuEnLB599FG88MILtuBT+HC6cCSs+s3iVC+//PKFG9L4iy5Lu0+Y+gwndmHPyT02VSutEM7CCQVdlCgaSuUphdL5SlsRUTpvaRTPUxwmCWoaz6zDREAE3ESAfxd0m94NDUs0RIfaHdw0dI1VBERABEQg8xOYkCOcrpGpGVlRltVvU9PoPsX8776FopgnnkHVTspP1itgDQFWb2ahKd9KxNzGfPIpbXXr1rXF+lK6Pwvh7T251y4sCkfxQCGx7+Q+WwOCgdTMkMQaDxQL/F6jXA0rJigoCuRSHYOUstZ+IpCZCTDb3KBmg/D0tKdtuuaO9Tpm5svVtYmACIiACLiMQFgJCxYxY6Eo5nxPSaNw6NChAypWrIjRo0ejhUlRy5oX06ZNswLlp59+AjM5UVzcfffduOeee/D333+jTZs2ePvttzFnzhy777x589CgQQP0798/Jae1IoZVkln0jq5IB04dsJ/MqLT/pKkEfWo/Dpw+gD0n9tgsS3ly5rFF8ygYikcXt1aG2oVrWwFBi0Ph3IVTdF7tJAIiIAJ0hRrWchg6/toRBSIL4L4a9wmKCIiACIiACIQFgQgzOf9frtQQD4nVbB944AFQEKSkzZ4921bjXrhwIRj3UK1aNXTu3BlNmjRB+/btsWDBAmzfvh3czurF/KRVo3nz5ti2bRtatmyJa6+91sZ0jBgxAjt37kShQoUuempW4m35WkuUalMKhaIKWWHAGg+FowrbYnH87giGYtHFlMXlokS1gwiIQGoJ8AXGU78+ZTNF3Vz55tQerv1FQAREQAREINgEwssVKn/+/Dh16pStWssKtRdrVapUsZYJWigOHDhga178YQrsxcTEoEePHhccTisILRfR0dG2ojfdnyg0fvzxR7vunXfeuWD/5H4cPnwYl56+FOPvHJ/cbtomAiIgAulGgC8wWIzzqalP2VS0Lcu1TLdzqWMREAEREAERSAmBlPkcpaSnIOxDMVGpUiUwpWtKGmMl7r33Xmtx+PDDD1GrVi1cZjI10bVp+fLltgu6SJ08eTK+O8dAw5gKulCNH+8VBxQnS5cujd8vuS90p6pdu3Zyu2ibCIiACKQ7ASZzoLgY/NdgLNy9MN3PpxOIgAiIgAiIQHIEwkpYcKB0U5o8eXJyY47ftmHDBowbNw79+vXDrbfeij59+qBYsWLo3bs3mjZtimuuuQalS5e2lglaGWidmDhxoi2+R8sGYyoGDRqEOnXqWDFSv379+L6T+0JXLY5TTQREQARCTYDFLQc2HYhec3rh7/1/h3o4Or8IiIAIiEAWJhBWMRa8D8zaxPiIzz///KLxDp999hlOnz6NVq1aWbFAocA6GMz+RFcnuj35Zn9K6j4zExUzSPGYlLQlS5bYwO8vv/wyxUHmKelX+4iACIhAIAT+3PMnes7uiWGthqFqwaqBdKVjRUAEREAERCAtBCaEncWCwdO33XYbhgwZctEL+u2336wF4ueff7afzOzkCAS6Ol1MVPAEDOZ2jrnYCc+fPw/GYnTq1Emi4mKwtF0ERCBDCTQs3hCvNH4FL8x4AduPb8/Qc+tkIiACIiACIkACYWex4KDOnDmDJ5980qaA7datG1cl2TjRX7RokY2xoNsTMz+lZ2OK2tjYWPTq1Ss9T6O+RUAERCDNBKZsmoIxy8Zg7LVjbZrrNHekA0VABERABEQgdQTCr/K2M36mnmUg96hRo3DffaHP0/7aa6+BaWaHDRuGyMhIZ5j6FAEREIGwIzBx7URMXDPRiouCkQXDbnwakAiIgAiIQKYkEH6uUA5mpozdsmULJk2aFJ+5ydmWkZ+Mv2Bw+LJly6zIkajISPo6lwiIQFoI3FXtLlxX4Tp0m94NJ86eSEsXOkYEREAEREAEUk0g7GIsfK+AdS2Y9Yn1Jp599lns2LHDd3O6f2fK2ocffhhxcXH4/vvvkZLaGuk+KJ1ABERABFJA4LG6j6F+sfroPrM7Ys/HpuAI7SICIiACIiACgREIyxiLhJfE2hNffPEFPv30U5tWltW58+bNm3C3oP3evXs3PvroI8yfP98KGlboVhMBERABNxLoM68PjsQewcBmA5E94uKFR914jRqzCIiACIhAWBAI3xiLpPAwxoHiYurUqeBk/84777RxGEntm9p1FC8skEfXq8WLF9u+77///hRnjErt+bS/CIiACGQEAQ88eGXWKyiVtxS6NuiaEafUOURABERABLImAXcJC+ce7d+/3xa7Y8E7ppRlsbpLLrkELHCXL18+Z7eLflKosC4FBcWMGTNscb1bbrkF119/vQTFRelpBxEQAbcQOBt3Fs/9/hzK5iuLHv/P3nnAR1XlX/wEEhJ6770LYqGIIkixoa4Fu2sD6/5VFEVEEFEUVFZAVGzrKjZ014plLahUpSmCKCCCVKmht4SEkv89d3KHSQyQMuXNzLl8Hu/Nm1fu/b5R7nm/1v7+aOm2+ikCIiACIhBdBKJTWAQyXrp0KWbMmGHFwaJFi2xdigYNGqBy5cq2wF6JEiWQkpKCtLQ0sBheamqqLcLHqt2sX3HcccfZtLadOnVCjRo1Ai+tbREQARGIGQLp+9PRe2JvtKvRDredcFvMjEsDEQEREAER8AyB6BcWuVHSmrFmzRqbGnb79u227gQFRVJSkhUYLMBXpUoV1K9fHwwOVxMBERCBeCGwM3MnbvvmNpzb6Fxc2+LaeBm2xikCIiACIhAeArEnLMLDTXcRAREQgegksGXvFvzj63/g2pbXokeTHtE5CPVaBERABETAiwS8W8fCi7TUJxEQARGIdgKVUypjzBlj8Oqvr2Li6onRPhz1XwREQAREwEMEPF3HwkOc1BUREAERiBkCNUvXxHNnPIfRP43G7PWzY2ZcGogIiIAIiEBkCUhYRJa/7i4CIiACESFQv1x9PNn5SQyZMQTzN82PSB90UxEQAREQgdgiIGERW89ToxEBERCBfBNoWbklhnUahgHTBmDJtiX5Pk8HioAIiIAIiEBeBCQs8qKifSIgAiIQJwTaVm+LB055AH2n9MXqXavjZNQapgiIgAiIQCgISFiEgqquKQIiIAJRROC02qehd+veuGviXdiYtjGKeq6uioAIiIAIeImAhIWXnob6IgIiIAIRInBOg3NsCto7J96JbRnbItQL3VYEREAERCCaCUhYRPPTU99FQAREIIgELmt2Gc5rdB76Tu4LVupWEwEREAEREIGCEJCwKAgtHSsCIiACMU6g17G9cEK1E3DP5HuQcSAjxker4YmACIiACASTgIRFMGnqWiIgAiIQAwTubnM3apetjYHfDcSBrAMxMCINQQREQAREIBwEJCzCQVn3EAEREIEoIzDolEFIKpZk61xkISvKeq/uioAIiIAIRIKAhEUkqOueIiACIuBxAsVQzNa42J6xHU/+8KTHe6vuiYAIiIAIeIGAhIUXnoL6IAIiIAIeJECLxYguI2zxvBd+fsGDPVSXREAEREAEvERAwsJLT0N9EQEREAGPEUgpnoKnT38a09dOx1uL3vJY79QdERABERABLxGQsPDS01BfREAERMCDBMomlcXzZz6Pz5Z9hk+WfeLBHqpLIiACIiACXiAgYeGFp6A+iIAIiIDHCVRIroBnTn8GY38di29WfePx3qp7IiACIiACkSAgYREJ6rqnCIiACEQhgZqla1px8fRPT2PGuhlROAJ1WQREQAREIJQEJCxCSVfXFgEREIEYI9CgXAOM7DoSQ2cOxc+bfo6x0Wk4IiACIiACRSEgYVEUejpXBERABOKQQItKLfDYaY9h4LSBNmNUHCLQkEVABERABPIgIGGRBxTtEgEREAERODKBNtXagEX0+k7pi1U7Vx35YH0rAiIgAiIQFwQkLOLiMWuQIiACIhB8Ap1qd8Kdre+04iI1LTX4N9AVRUAEREAEooqAhEVUPS51VgREQAS8RaB7g+64usXVuGPiHdiWsc1bnVNvREAEREAEwkpAwiKsuHUzERABEYg9Apc2vRTnNTwPfSb1we59u2NvgBqRCIiACIhAvghIWOQLkw4SAREQARE4EoEbWt2AttXb4t4p9yLjQMaRDtV3IiACIiACMUpAwiJGH6yGJQIiIALhJtCnTR/UK1cPA6YNwP6s/eG+ve4nAiIgAiIQYQISFhF+ALq9CIiACMQSgYEnD0RKYgoenv4wsswfNREQAREQgfghIGERP89aIxUBERCBkBMohmIY2mkodmXuwvDZw0N+P91ABERABETAOwQkLLzzLNQTERABEYgJAokJiXiyy5NYvmM5npv3XEyMSYMQAREQARE4OgEJi6Mz0hEiIAIiIAIFJJBSPAWju43GzHUz8cbCNwp4tg4XAREQARGIRgISFtH41NRnERABEYgCAmWSyuC5M5/DZ8s+w/g/xkdBj9VFERABERCBohCQsCgKPZ0rAiIgAiJwRAIVkytacfH6gtfx9aqvj3isvhQBERABEYhuAhIW0f381HsREAER8DyBGqVq4NnTn8UzPz2D6eume76/6qAIiIAIiEDhCEhYFI6bzhIBERABESgAgfrl6mNU11EYNnMY5qXOK8CZOlQEREAERCBaCEhYRMuTUj9FQAREIMoJHFPpGDx+2uN44LsH8Pu236N8NOq+CIiACIhAbgISFrmJ6LMIiIAIiEDICLSu1hqDOwzGfVPvw+pdq0N2H11YBERABEQg/AQkLMLPXHcUAREQgbgmcGqtU9G7dW/cOfFObEjbENcsNHgREAERiCUCEhax9DQ1FhEQARGIEgJn1z8bPY/tid7f9sa2jG1R0mt1UwREQARE4EgEJCyOREffiYAIiIAIhIzAJU0vwfmNz8ddE+/C7n27Q3YfXVgEREAERCA8BCQswsNZdxEBERABEciDQK9je+GkGieh7+S+yDiQkccR2iUCIiACIhAtBCQsouVJqZ8iIAIiEKME7mpzF+qXr4/7p92P/Vn7Y3SUGpYIiIAIxD4BCYvYf8YaoQiIgAh4nsADJz+A0kmlMXz2cGSZP2oiIAIiIALRR0DCIvqemXosAiIgAjFHIAEJeKTjI9icvhlPzH4i5sanAYmACIhAPBCQsIiHp6wxioAIiEAUEEhMSMQ/O/8TK3aswJh5Y6Kgx+qiCIiACIhAIAEJi0Aa2hYBERABEYgogeTiyRjdbTR+WP8DXl/4ekT7opuLgAiIgAgUjICERcF46WgREAEREIEQEyiTVAbPnvEsPl/+OT5c+mGI76bLi4AIiIAIBIuAhEWwSOo6IiACIiACQSNQMbkixpwxBm8tfAsTVk4I2nV1IREQAREQgdARkLAIHVtdWQREQAREoAgEapSqgWdOfwbPzn0W09dNL8KVdKoIiIAIiEA4CEhYhIOy7iECIiACIlAoAvXL1bcxF4/Pehw/b/q5UNfQSSIgAiIgAuEhIGERHs66iwiIgAiIQCEJNKvYDI+d9hgGThuIxVsXF/IqOk0EREAERCDUBCQsQk1Y1xcBERABESgygROrnojBHQbj3in3YuXOlUW+ni4gAiIgAiIQfAISFsFnqiuKgAiIgAiEgMCptU7F3W3vxl2T7sKGtA0huIMuKQIiIAIiUBQCEhZFoadzRUAEREAEwkrgrPpn4YZWN6D3t72xde/WsN5bNxMBERABETgyAQmLI/PRtyIgAiIgAh4jcHGTi3FB4wus5WLXvl0e6526IwIiIALxS0DCIn6fvUYuAiIgAlFLoOexPdGhVge8u/hdZBzIiNpxqOMiIAIiEEsEJCxi6WlqLCIgAiIQRwTuOPEOpKalov+0/tiftT+ORq6hioAIiIA3CUhYePO5qFciIAIiIAL5IDDw5IEok1QGD01/CAfNHzUREAEREIHIEZCwiBx73VkEREAERKCIBBKQgEc7Poq0fWl4YvYTRbyaThcBERABESgKAQmLotDTuSIgAiIgAhEnUDyhOP7Z+Z9YtWMVnp37bMT7ow6IgAiIQLwSkLCI1yevcYuACIhADBFILp6M0d1G48cNP+K1Ba/F0Mg0FBEQARGIHgISFtHzrNRTERABERCBIxAonVQaz535HL5a+RU+WvrREY7UVyIgAiIgAqEgIGERCqq6pgiIgAiIQEQIlC9RHs+e/izeXPimFRgR6YRuKgIiIAJxSiAxTsetYYuACIiACMQogeqlquPZM57Fbd/cZjNGdardqegjTU8H1qwBNmwAtm/3LTt3ApmZwL59wIEDwEGTlSrR/LOalASULAmUKweULQtUq+ZbatcGkpOL3hddQQREQAQ8SiAhyzSP9k3dEgEREAEREIFCE1i6fSnumXwPhnYcitbVWuf/OvtNTYx584BffgF++w34/Xdg926gTh3fQsFQoYJvoZDgQsFAYcFz+c/qLlMRnMuePcD69cCWLcDq1UDlykDTpsCxxwInnuhbF5PzQP4fjo4UARHwMIE3JSw8/HTUNREQAREQgaIRmL9pPgZMG4Cnuj2FFpVaHP5itDjMmAF8/jkwZw7QrBlwwglAC3MORQAFQVEbBcfatcCyZcD8+b6FnzsZi8o55wDt2hX1DjpfBERABCJJQMIikvR1bxEQAREQgdATmLl+JobOHIoXznwBDco1yHlDujJ9+inw1ltArVpAjx5Ahw4+N6acR4bm0+bNwNSpPkGzdy9w/fVA9+5AQkJo7qerioAIiEDoCEhYhI6triwCIiACIuAVApNWT7I1Ll46+yXUKFXD1625c4Hhw4H69YHbbwcaNoxsd2kpGTvWF7cxaFDk+xNZGrq7CIhA9BGQsIi+Z6Yei4AIiIAIFIbA+D/G4+1Fb+Pls19Gpc8nA2+8ATzwAHDKKYW5XOjO+eIL4PnngWHDgNYFiA0JXY90ZREQARHIDwEJi/xQ0jEiIAIiIAKxQWDcb+Ow7qPX0XfyQSS+9wFQqZI3B8bAccZ4/Por0KqVN/uoXomACIhATgJvKhVFTiD6JAIiIAIiEMMErs1qgztHzkL/W2thb/lSdqTjl423Fbs9NezjjwcmTQIGDAAYh6EmAiIgAlFAQFmhouAhqYsiIAIiIAJBInDPPTYL0xN1lmBD2ga0r9Ee/ab2Q9mkspjfcz5KJpr6E15qL70EpKUBfft6qVfqiwiIgAjkRUAWi7yoaJ8IiIAIiEAMEmBBuwULgIsvxsCTB6JciXLoO6UvNuzegNS0VHy2/DPvDfryy4FvvvHVyPBe79QjERABEchBQK5QOXDogwiIgAiIQMwSYNwCg6FNQbpHZjyCf/38L6TuSbXD3ZGxA6PnjEaW+eOpxvoZpUsDGzd6qlvqjAiIgAjkRUDCIi8q2icCIiACIhB7BOhSVKaMHdeQGUOwae+mHGNcsWMFpq+dnmOfJz6UNO5Z7LuaCIiACHicgISFxx+QuicCIiACIhAkAlWrAuvX24vN7zUflza9FDXKZNe0MHs37tloa10E6W6Fu8y2bUCdOkDPnsDXXwPbt/sK9zVuXLjr6SwREAERCCMBCYswwtatREAEREAEIkigWTNg+XIgIwPHVzkeH1z4AcZfNB7dG3ZHtdLVbMdmrpuJpduXRq6Tr73mc3t6803gmmuAli2ByabmxqxZwIEDkeuX7iwCIiAC+SCgrFD5gKRDREAEREAEYoTA3XcDf/sbcNZZOQbEytwPz3gYCzYtwAUNLsAjrR7Bjh07sGvXLuOFlIa9e/ciPT3drjOMMMnMzDTz/AM4ePCgXWdlmegMsxQvXtyEcBTzr5OTk8ElJSUFJY1LE9dljDtW2bJlUa5cOf/C82wz10b//sDnn/usFVu2+PbXMJYVxlv06wf06uXbp79FQAREwFsEVCDPW89DvREBERABEQgVAYqBTdOmIWnkSEy74QZsNPUhUlNTTZmIzXbZsm0L1ldYj7019+KUzafYSX/FihX9wsCJg9ImmDohIcGKBwoCLomJiX6RQbGxf/9++5lrJ0wCxcl24+JE4bLTZKriwmtWqVLFLpWNgKhRoQJO+PNPnPjWWyhurl3cHJNgRI65GUynvVvYL1QPT9cVARGIBgISFtHwlNRHERABERCB/BOgRWHZsmV2WbFihfF+Wo5Vq1Zh69atqGHe/NeuXRu1atWya07i3YS+qonBoFUhEo2WkU2bNh0SOcZSsW7dOqxduxbbV65E/aVL0ctkhlrRvDmWXn89GjVqhMYm7qJhw4ZW2ESiz7qnCIiACOQiIGGRC4g+ioAIiIAIRBmBP82b/Z9//hkLFy7EokWLwM+cdDdo0MBOvDkJ51KtWjVraYiy4dnu0u1qw4YN+OOPP+DEEtdr1qxBkyZNTChGS7Rq1QonnngiKJDUREAERCACBCQsIgBdtxQBERABESgCAboRzZgxA7Nnz8bcuXOtG9JJJ52EY445Bi1atEDTpk3tviLcImpOpXvV4sWL8dtvv9n1Dz/8YOM32rRpg5NPPtkupUqViprxqKMiIAJRTUDCIqofnzovAiIgAnFCgG5CX5v0q1OnTrVv7Dt06GAnzZxA16xZM04o5G+YdP2iBef777/H/Pnzcdxxx6Fbt244/fTTrejI31V0lAiIgAgUmICERYGR6QQREAEREIGwEKD7z6RJk0yCpM/t2/izTCanzp07g2LCn0UpLD2J3pvQokHLzmSTspZWHlp2LrzwQivKondU6rkIiIBHCUhYePTBqFsiIAIiELcEmL3p/fffx3vvvWdjJc4//3x06tQJJUqUiFsmwRj4nj17MHHiRHz88cc2U9V1112Hc88916bHDcb1dQ0REIG4JyBhEfc/AQEQAREQAQ8RoHXipZdeQtu2bXGDSQlbv359D/Uudrryyy+/4DVTjI8B4XfddRfoWqYmAiIgAkUkIGFRRIA6XQREQAREIAgENppUqsOGDbOF5+677z6b6SgIl9UljkLgxx9/xKhRo6zl4rLLLrP1NI5yir4WAREQgcMReLPY4b7RfhEQAREQAREIBwHWcLjiiius//+//vUviYpwQM++B2Muxo0bZ2to/OMf/wDdpdREQAREoLAEErJMK+zJOk8EREAEREAEikKArjgUFQMHDrRvzQt6LVat/vLLL/2nlSlTxgoU1qxgY2YkFplr3bo1mjVrZvcxiJm1Ltguv/xyf4zBr7/+agvnsWheuBqzN3366acYMGBAxGNI2IcJEyaAKWuTkpLChUD3EQERiB0CsljEzrPUSERABEQg+ggMHToULoi4ML0vV64cUlNTcfXVV9sCeBQHrEbtxAYzSD3zzDM444wz7HG8BwvJPfLII7aQXLFihwz3gwcPxgsvvFCYbthzWJyvoO/qWCX84Ycfxr59+wp932CdOHz4cGsteuWVV4J1SV1HBEQgzggc+j9qnA1cwxUBERABEYgsAVaRZn2KW265pUgdYZ0GCgTWauBbdwZ+jx071l6TxeFYMK9ixYpgDAEn8BQj7du3R9euXf33XblyJVj/gcKCWalyt23btuHgwYN2N6/hhABT4nKbMSIXXHBBDlcipnrdv39/jkvt3r3bZmRKS0uz+1nELiEhIccx69aty/E5PT3diiJ3Ld6P96ULmWs8JhjtjTfewPjx420fg3E9XUMERCC+CEhYxNfz1mhFQAREwDME+IafLkrBbAsXLsSyZctyiAamqWWKVX53zz332NvR1SfQWsFMVB988IGtj/Huu+/6u0RBMWTIEHz44Ye2qjeDnc8++2ycdtppdmLPLFZXXnmlrRFBYTJmzBg7KR80aBBeffVV9O7dG08++SRYLbx79+7o2LEjLr30UjRo0ACfffaZ/z7coOhgETu6b1100UVWrNAt6f7778fo0aNtkDXrUdSuXRu33XabFVIURxwT+9OnT58c1yvMBwoxWnzIUE0EREAECkogsaAn6HgREAEREAERCAYBTu7dm/+iXo9v82mx+O6772z9i0suuSTHJRs1agQKhnPOOcdaNAK/5Nt+xmEwBoMBzJzE0z2L7a233rIioFevXihfvrytXM3veS9aGlatWoWHHnrIWkV4PGNF5s6d6xcyvDZjNq699lqb0pUxJRQxvMZzzz1nrRw8j43HdunSxfbxqaeewpw5c2yV8VmzZuGrr77C0qVLbWG7lJQU3H777dali9vvvPMO6FLGCuR0+ypqI8vERE0PispR54tAPBKQxSIen7rGLAIiIAIeIEBrBatCB0NccCL8v//9D8ccc4y1LuQ1vDPPPNNaD/i2f968ef5DODGn2xLf+K9Zswas8TBt2jT7/SeffIIqVarYbQZ68/onnniidaViLMKCBQvsZx7gXJpYhM4FipcsWRInnHCCLUxHC0np0qXttVjwb8WKFXbb/VW1alXr4sT0rzyP8RfXX3896tSpYwsF8jMbx8rvuabY4TaD1mnxKGqjaxpdsZo0aVLUS+l8ERCBOCQgYRGHD11DFgEREAEvEKhRowbatWtn3X6K0h8KEwZN042HLkt0MaL7kWt0Q3IxDX379rWZoJiNiY3nffTRR9aawbf9THfbo0cP0GLAduqpp+LFF18EXaIYE/LFF1/Y/XRPopXg2GOPtZ8pKngtxj6wmjUzT7lA7h07doCihs3FacyfP9/ex+7M/ovuWqw4zsDy4sWL2/N5P7pojRgxwlpDeKi7Lrd5v8DP3FeUxnHRtUtZoYpCUeeKQPwSkLCI32evkYuACIhAxAnQjYjuQSyOV5hG0UAxwAn2Y489hubNm9vA7QceeMB+ZirXqVOnWncld/2XX37ZChp+ZrA34wmc9YB1HGhZoKXi9ddft4HlFCUMAH/22Wdx1lln2cswFqKBiZNgNio2ihoGhDM2Ijk5GTfddJM/NuLmm2+2bko8jjEZDz74oL32HXfcYdcUBm+//ba1SpAFr0lhQcsF40I40d+yZYs/loNuW+wfRQdFy5tvvmkFCa9PYVXYRisK41F69uxZ2EvoPBEQgTgnoDoWcf4D0PBFQAREINIEWIuCbkgMGmbVbbr2hLrRbYjuQ/ltdEOiYHCNE3qmp6XYcI3WCMYncHLOxnvQXYlxEGyPPvqoFQIM7K5UqZLdl/svZqRy5/NaFDncx7Xbn/ucon7evHmztZJwfCNHjizq5XS+CIhA/BJ4UxaL+H34GrkIiIAIeIIA07/S3ai6mUgPNS5D35hA5VC3gogK9iVQVHTt2tVmYWLGp8CWe/LPezhRweNYb2P9+vU29W3geYHbgeKBooTX5DUC9wceX5RtWnkY0M7AdFpbAt3HinJdnSsCIhC/BGSxiN9nr5GLgAiIQGQIMAiZ6UxNliO7cHvJEpgCE9hi3uQPMpPpdPOWnhNeZkni5NrfWGPCxAGYghGAcWmKRJs0aZJ1W6pfv36+b886F8zsxMa4Ehebke8LBPFAWl9YQJAZr+jiRZesunXrBvEOupQIiECcEnhTwiJOn7yGLQIiIAJhIWBiILB4MUzks088UESYGAHj9wSTeggmfZJvadwYxjfJ3yWmWB03bpzNUMRgaC7MjmRytcIUh4Apsw3MnAkUYHLvv3icbvz+++9WUEyYMMHWD2FK3RYtWsQpDQ1bBEQgBAQkLEIAVZcUAREQgfgkYFK1WssDrQ9caJEw7jZWQJg34+b1OEx0NVCvHkx0cr4YMbCaAc+cDNNCcIEJmD7L1IBIZOVqUyXapFbK13Xi9SDWvmBtDwawMzD9vPPOw/nnn290mRFmaiIgAiIQXAISFsHlqauJgAiIQBwQoFgwVaatcKA1ggKCQqJCBZhCDzB+Qj4BQSERpAksA6NZhXqaqTx9nckgVdMIi4Unn4ztJhPUCWZd0JiJWH1KW7dutQX6WKdj+vTpNjaDVbm7mriQ4447LlaHrXGJgAh4g4CEhTeeg3ohAiIgAh4lYArHWeFg3GhsXMRvvwErVwK1a/tEBMWDc2cKcGUKyWhMKlZ771tugalMh0wT1PywicP4wYgapn6lWw8L2HHdmOImxhvFFt2bfjPPhAtT0zItLQsPtmnTxlbpLkgcSIzj0vBEQARCT0DCIvSMdQcREAERiBICrNxMAcGFVghaI0zQsY2HoAsTrRGMi+CSnVI1pCMzFaBhCslhzhyYUtkweVeBiy/2bTNw2xTYw/ff44AROYtNXzmx5nrRokVgBWlOqpnCtlGjRnapVasWuERb8TcGW7MiOCtis0gfa24sNxYj1rNg0HXLli2tmGJAuCpmh17ALxUAAEAASURBVPQXqYuLgAgcmYCExZH56FsREAERiFECppK0X0TQjYkigoHWtD44EUFrhLEE5DceosikVq0CWBGbIoKLKRyHtm2BE0+EeQ3vi83gTX79FSaaG9i167BxFnuNpYWTby6ciK8y1/7zzz9tMb4KxmWLAqO2ESSVK1dGlSpV7Lp69eomMVU5lC9fHmXLlgWraYeyMd0ra3hwYaG/uX/ORcquFLCuBF2anJhgPQwGrlNE0DJDoUTBxIUpadVEQAREwCMEJCw88iDUDREQAREIHQHz9t7GQFA8OBFBFydaIJyIoKBg1qVwNYoGWkV++QUmKMAnJEqX9gmIE07wrelulVdjjAf7zQxTf/878M47eR2V5z5WuWY9Cb79Z5VrWjY4kacLEdec4LP43S4jWkqb/lCEsI4EFxbu45pVtpkCl9Wx3cIJPl2TKBZcoTz3mZW709PTQbHDhdu8D7edkGHBvI01jHXIJMa6uPrFqFqlqq3WTQFE8aMmAiIgAlFAQMIiCh6SuigCIiAC+SdgJs3G4d5njXAigpN4JyCYXpSWCLoRhbNRDFDYUETQvYmCwlgKrDXCWSSqVs1/j/r3B8aPZzlrn7jI/5n5PpLigtYCZlMKFAZ0TWI1bCciuKZg4UKh4UQH1yysxyVQmDDQnBYRCpTAlnkwE30n90XppNJ4tOOjSC6eHPi1tkVABETA6wQkLLz+hNQ/ERABETgsAQYzc7LuFsZGMI0rLRFcKCJoiSjIhP2wNyvgF+atPAOsrUsThQTFjnHdwfHH+8QErRLMIqWWg8CBrAP45w//xJJtSzCiywhULVkAsZXjSvogAiIgAmEnIGERduS6oQiIgAgUhgBFBCfnFBF0ITKByuZV+CERQYsEF1oBItEYs0ErBGMkKCRWroSJKvYJCYoIpjrN9YY+Et2Mlnv+d/F/8fZvb2Nk15FoXtE8VzUREAER8D4BCQvvPyP1UAREIO4IOEuEc2nimiKCFgiKB65pkahYMXJomLGJAdYUEhQUFBYUEM4iwT4qsLhIz+f7td/jsVmPYeDJA9G5TuciXUsni4AIiEAYCEhYhAGybiECIiAChyfAdK4UDs4KQYsEU7k6dybn0hRJEcEYDbpZudgIril0WrXyuTVRTMRB3YjDP8TQfbN0+1L0n9ofFze9GNe3vD50N9KVRUAERKDoBCQsis5QVxABERCBfBJgdiYKB+fSxDXf6vPtPt2GGFTNbZMhKKLNZDGyrlYUEFwoKkwqVr9FgpYJflYLC4FtGdtsUHfjCo2t9aJ4gomjURMBERAB7xGQsPDeM1GPREAEYoIAXYMoIkyxNr+QMOlI/W5Mzp0pUjERgZApeJw1gjUiWE+ClhIKCOfepPiIQGJh3844kIEhM4ZgR8YODO88HOVKlAt7H3RDERABETgKAQmLowDS1yIgAiJwdAKmwJkVD7RAOGsE60TQVYhZmZw7U7VqR79WqI+gW5Op3mzjIhgAzjgJkz7VLyAoJBjHwexSap4j8K9f/oVvVn6DUV1HoX65+p7rnzokAiIQ1wQkLOL68WvwIiACBSfANKq0QjhrBNcUFpyM053JiYiaNQt+7VCcwf5SQNASQasE13RjckHWFD/hLIwXijHG2TW/XPElxswbg2GdhqFNtTZxNnoNVwREwMMEJCw8/HDUNREQgUgT4Jt8FpkLFBKmQrONhXACgi5NdetGuqeH7s+MUqwf4Vyb/vzTJ3pYhI4igoLCFGdTi24C8zfNx6DvB+GW42/BRY0viu7BqPciIAKxQkDCIlaepMYhAiJQRAKsDM3MTM6diWtOypntiOLBLY0aFfFGQTydfWZgNdO90hLBha5OdGdyIkJuTUEE7q1LbUjbgD6T+uDUWqeiT5s+3uqceiMCIhCPBCQs4vGpa8wiEPcEOPleseJQPARdhZYvB+rVOxRcTbemJk28FWtAlyuKBwoJLhQVdGOiFYILi9B5xQUr7n9k4QGwZ98eDPxuIE6oegKubnE1SiaWDM+NdRcREAER+CsBCYu/MtEeERCBmCOwdu0hSwTdmjghr1rVFxPhAqwZZM3aDF5qFDt0a6KY4HrzZuDYYw8JCYofZWvy0hOLSF8OZB3AqDmj8MumX2xQd/VSJoZGTQREQATCT0DCIvzMdUcREIGQEmAMBN2YKCDcwsk3J+HOnYnr0qVD2o0CX5y1I9hf59ZEIcF6FhQ+tETQvalBAyAhocCX1gnxQeDd39/FuEXjMKLLCBxTyaQLVhMBERCB8BKQsAgvb91NBEQgqAT27DkkIpyYyMz0TcYZW0ABQUERyarVhxvwmjW+bE1OSPAz++xcmigmypc/3NnaLwJ5EpixbgaGzRqGfu364fR6p+d5jHaKgAiIQIgISFiECKwuKwIiEGwCFAzM0OQEBN/us7Cby85EAcHFizEGzC7F/tIKwYVigm5XtELQtYkigq5Yqh0R7F9NXF5vxY4VuGfyPbioyUW4odUNcclAgxYBEYgIAQmLiGDXTUVABI5MgBWqGVzNyTiFBJeVK4GGDQ9ZIWiN4GcvugYx5avL0kQhwb4zuxQFhHNtYoyHmgiEiMC2jG3oN6Uf6pWrh0GnDEJiQmKI7qTLioAIiICfgISFH4U2REAEIkeAE3GKCGZnoogIDK6mFYJv9ZmhKSkpcn083J1pSWGRPBdgzTEw6xRFhBMStKp4se+HG5P2xwSBzIOZeHTGo9iUvgn/7PxPVEiuEBPj0iBEQAQ8S0DCwrOPRh0TgVglwJSpFA+cgFNMcEk0b1OdKxPXXgyuds/DFaCjJYJigpmbWNvCiQjGSFSr5o7WWgQiTuDVX1/FFyu+sBmjGpRrEPH+qAMiIAIxS0DCImYfrQYmAl4g4CpXB4qIHTt8Fgi+xXciwqtuQew/rSfOGkExwUZ3JufSxHGUKOHbr79FwKMEvl71NUbPGY1HOj6C9jXae7SX6pYIiECUE5CwiPIHqO6LgHcIuKJzgSJi9Wrf2/xAa0T9+t7pc+6erF+fU0QwzoMuWHTFcmKiRo3cZ+mzCEQFgV83/4oB0wbgluNvQY8mPaKiz+qkCIhAVBGQsIiqx6XOioCXCDAjU6CIoHtTlSq+SbgTEsx0RDcnLzaXqYnWCI6Da/bVuTRRSCg2wotPTn0qAoENaRtw7+R70a5GO/Rp2wfFzB81ERABEQgSAQmLIIHUZUQgtgmweBuFgwuw5vrAgUMiwk3Cy5TxLgdaT+jKRBHBsTA2gsKHQsKlfPWqS5Z3qapnUUggfX86Bn43EMUTimNop6EolVgqCkehLouACHiQgISFBx+KuiQCkSVAwcBJNyfgziJBFyEWb6MlgpNwrr3sEsTCeU5EcM2lbFlf311shOpGRPZ3prtHlMBBHMRTc57CvI3zMKrbKNQoJRe/iD4Q3VwEYoOAhEVsPEeNQgSKQCAw1SstEQxWZpG5QBHBGgxeLd7mYjsCA6w3bjzUfxcb4cXq20V4bDpVBIJB4IMlH+CNhW9geOfhOLayeWmgJgIiIAKFJyBhUXh2OlMEopDA7t05XZpokShmfKxphXCWCKZ6LeVh14ht23wWCGeRoBiqXv3QGOjaxPSvHJeaCIjAUQnMWj8Lj8x4BH3b9cVZ9c866vE6QAREQAQOQ0DC4jBgtFsEop8AXZqWLTvkzsQ3+gy4dmlenZjwclzBvn0+C4pzy6KYoDhyVgg3Bi/HdkT/L0kjiAMCK3asQN8pfXFB4wtwY6sb42DEGqIIiEAICEhYhACqLikCkSEQ6NLEifiSJUCtWr43+XyLT0sE3+QnJESmf/m567p1OYUQhVGDBoesERQUdevm50o6RgREoIAEtmdsx/3T7kf1UtXxYIcHUaKY6rMUEKEOF4F4JyBhEe+/AI0/Sgmkpx/K0OTe5lMwuDf4XFNIlCzp3QEywNplmeIYaI1ITs4phGhd4T41ERCBsBDYn7Ufj854FOv2rMOILiNQMbliWO6rm4iACMQEAQmLmHiMGkRsE2BwMrM0uZgCTsIZnNy0ac4A5WrVvMvh4MFDbllOCHEMFA6BYoh1MNREQAQiTmDsgrH4bNlnGNl1JBqXN8kb1ERABETg6AQkLI7OSEeIQJgJbN2aU0TwrT5FA92A3CScosLLLk2ueB5FxOLFPvemwExTHIsCrMP8w9LtRKBgBCaunoiRP47EQ6c+hA41OxTsZB0tAiIQjwQkLOLxqWvMHiKQmekLTqZ4cBWgWYwuUERQTHg5OJn9deLBWSNooXAiiGPxeqYpD/0k1BUR8BKBRVsW2biL61pehyuaX+GlrqkvIiAC3iMgYeG9Z6IexTSBNWt8b+85Aadr04oVQMOGwPHH+ybfnIzXqeNdBBQMgcXzOA4Wz2OxOSckvF48z7t01TMR8CSBjWkb0XdyX7Su3hr3trsXCeaPmgiIgAjkQUDCIg8o2iUCwSHAN/m0RFBAuPgIBiI7awTXrGZdwsOZV1JTDwkhiggWz2PFbYoIV0DPy8XzgvMkdRURiHsC6fvTMej7QcgyMV/DOg1D6aTScc9EAERABP5CQMLiL0i0QwQKQ8BVf3aWCK6ZOpXCgQLCiQkvBydTCP322yEhQVHEcQWKCIoJLxfPK8yz0zkiIAL5IpCFLIyZOwYz1s3A6G6jUbN0zXydp4NEQATihoCERdw8ag00uAR27sxpiaCQqFzZNwmniHDVn4sXD+59g3W1wOJ5jI+gRYUuTRRCzhIhl6Zg0dZ1RCCmCIz/Yzxe+eUVDO88HMdVMTVy1ERABETAR0DCQr8EETgqARdX8Msvh1yatmw5FFPgLBLlyh31UhE7YO1anyWCVgguS5cCtWv7RAT7z7SvcmmK2OPRjUUg2gj8uOFHPDT9IfRp2wfnNDgn2rqv/oqACISGgIRFaLjqqlFNYNu2Q9YIvsmne5CrYO1cmhhw7dV0r9u3+8SDExFcp6QccmmiJYJZmrhPTQREQAQKSWDVzlXoO6UvujfojluPv7WQV9FpIiACMURAwiKGHqaGUhgCdAni23sXYM013ZycFcKtvRpXkJFxKF0t3bEoInbt8lkiKCDcUqlSYejoHBEQARE4IoGdmTtx39T7ULVkVQzuMBjJxZOPeLy+FAERiGkCEhYx/Xg1uL8SoDWC9SIoIDgRpzWCLkFOQHBdv/5fz/PCHleB21ki2H+mr2WhOQoIF2Rdt64Xeqs+iIAIxAmB/Vn78disx0ALxqiuo1AxuWKcjFzDFAERyEVAwiIXEH2MJQK0RvzxxyEh4awRDKymgDjhBF9sgVetERs2+ArPsd8UEwyyrl79kBWCYoIVuBMTY+mpaSwiIAJRSuCNhW/g4z8+xoguI9CkQpMoHYW6LQIiUAQCEhZFgKdTvUaAsQWchNMiwYUTccZGOCHhZWsE3a+cJcKtmVGKfWZgtbNGeFUEee23oP6IgAhEhMC0NdPwxOwn8GCHB9GxVseI9EE3FQERiBgBCYuIodeNi0aAmZqWLcspJHbs8FWw5pt8iglOxr04Ed+71yd66IZFEcE1+86AahcTwe2qVYvGSGeLgAiIQAQILN662MZdXNPiGlx1zFUR6IFuKQIiECECEhYRAq/bFpQAA5IDrRGckNMtiG/0KSK4NGhQ0KuG/njnjuUEBCtX//mnL7VroIioVy/0fdEdREAERCBMBDalb0LfyX3Rqkor9DupH4oneLSmT5h46DYiECcEYkRY7N4N0A2Gk889e4D0dCAzE9i3D+CbbQa90q2EvuhckpJ8b7LLlgXKlAHKlwdKloyTZx4lw1y50ufOxNoRnJQz3oAWCCciKCj47LzWVq06ZIWgJYIxHnXq+KwRtEJwDKoX4bWnpv6IgAiEgMDeA3vx4PcPYu/+vXii8xMom2T+zVUTARGIZQJRJCy2bvW5jyxfDqxeDbDg18aNwKZNQLJJb8d0mnR7oUgoUcKXo59iolgxn6igyNi/37dQbNCnnYKEYoRrig++Aa9WzTcRZJ0CLk1MABoFiFroCNA1iBmOXGwE13yOTkQwyNqLdSModmiBcGleGdNR0WRDcS5NXDM+gr9PNREQARGIQwJZyMJz857Dd2u+w1PdnkKdMuZFi5oIiECsEvCwsKCQmD4d+PFH34STFghmwGne3JcelCk1KQJq1vSJh6I+Ilo6KFRSU32ihW+aV6wAKGTo687Jbfv2wCmnqLBYUVlzQk63pvnzfc+WQrFZs0NCgoKCE3QvNaapde5MLjaC1i9aICgeKCK4eLn6tpd4qi8iIAJxReCzZZ/hxfkv4onTnsAJVc2/p2oiIAKxSMBjwoIuTN98A3zxBUCXkg4dgLZtfUuNGpF5ALRksIDazz8DP/wAzJsHtGkD9Ojh6x8tImqHJ8AYA77Vp0uTs0iQ6YknHnJtolj0UspUWrBofQgUEvxtBloiuF2lyuHHrW9EQAREQARyEJibOheDvx+M20+8HX9r9Lcc3+mDCIhATBDwiLCgteCdd4CPPgLatQPOPddnGfDipD0tzWdJee89gFaVXr2A887zuVvFxG+iiIOgaxlFhBMSnKAzxuD4430LrRG0MnmluQxN7CctERRBdK+j2AkUEkxbqyYCIiACIlAkAmt2r8E9k+/B6fVOx20n3Faka+lkERABzxHwgLCYMgV46imgY0fghht87k2e43SYDtGSMXq0L17jkUd8QbmHOTRmdzPDkRMSXG/Z4kuZSiFBEeGllK90p+Mzo4BwQmLdOl8cDUWEqxfBDE0JCTH7yDQwERABEYgkgZ2ZO3H/tPtRIbkChpw6BMnFFYcWyeehe4tAEAlEWFi8+CJAYfHoo743xEEcWVgv9cknPtcoTqw5mY7VxgB4TsidkKBrU0rKIWsExQSD3b3QXJpXioglS3wB1ozlaNAgZ0xEo0ayNnnheakPIiACcUXgQNYBW0jvj+1/YGSXkahSUq6lcfUD0GBjlUAEhQVjKa67zlfkrHTp6AfMyeu99/qWrl2jfzwcATNnUTy4IGu6CXFi7tyaGCfBbFyRbszyxSD7QEsEPzPAn1YI1ougaxOD/5lqWE0EREAERMATBMb9Ng7v/f6eFRfNKjbzRJ/UCREQgUITiJCwmDsXuOgi36S1QoVC995zJ7IS9N13A+PG+dKleq6DR+kQU/hSRDBjE4PVGWtAVyZmxKKI4AQ90qlTGfi9cqUvFsIFVzODF+M2XHYmrpllKtJ9PQpufS0CIiACIgBMWzMNj89+HA+c/AA61+ksJCIgAtFLIELC4s47gQsvBM46K3rRHa7ndO+iG07v3oc7whv72UdaWZxFgoKCmZlojWjd2lfRmm5NkYw1oIhgdjC6X7mFfWb6X2eFoIigNUIFDr3xu1IvREAERKAQBJZsW4J+U/vhiuZX4NoW1xbiCjpFBETAAwQiICwYQMusT19/HZu+7QwOHjIEePttDzzfgC4w+xEtEYyPYMpcvu1npiNaIhgXQqsECwRGsjEGwrkzUUjQ9YopXSkeAhcWQlQTAREQARGIKQKb0zdbcVG/XH081OEhFE8wRW7VREAEoolABIQFi9DddRfw7rvRBCr/fd2+3Rc78tln+T8nFEeyH05E0BrBYn+cnLMGR6tWPjFRpkwo7py/a9ISQeHgLBHcrlzZZ30IFBGxEH+TPyI6SgREQATinkDGgQwMmTEEOzJ2YHjn4ShXolzcMxEAEYgiAm8a35cwN7qscNIbq40VmiPxRn39el98BGMjuLDGhrNGMO6DrkORKkKX252JIoJB305A3HijT1CULRurvwqNSwREQAREIB8EmHqW1blf+PkF3DThJjzV9SnULWsScaiJgAhEBYHwC4ty5u1D+fK+egLM0hNrjS5G4RgXA5jp0sSFFglmRqI1gm5Nl13mq6kR7vgIxkTQMkIrBGMhuGZAOwP0nYi46SbfdiStJbH2m9N4REAERCDGCLA6N12ibv36Vjx22mNoU838+6YmAiLgeQIJWaaFvZfMmsS32IMGBe3We0z17h07dmCXqfzM7TRTIXv//v12OWgm3cWLFzcv7BPtUspYFMqYiW1Z84a8gpn0prAWQ0Ebq4W/9BJQv75vIu/O79kTuOMOoH17t6foa4oGTtQpImiNoJDgZJ0igoHWjI+oXbvo9ynIFRj87UQELRBcKCJcTAQDqp2YiIQFpyBj0bEiIAIiIAKeJPDzpp/xwHcP2CrdFzS+wJN9VKdEQAT8BCIQY8F7m0k/rrnGF+TMSXE+2xZT1XmJmWCvMqKEy1qTHnWjidlITU214qC08cenWChnrCLJJtWoExIlSpRARkaGFRnUURQfgUuxYsVMoqGqqFGjhil9UBf1TOXl+kYwNDeTYwqQPNspp/hiGBgAzXiRtm2Bt94CmEqX1biL0owgskHMvBaFBDM3UTgwYxPdm7gwHiFcjYXxmNLVCQgGqFNEcOwUEG5h9WqleA3XU9F9REAERCAuCKzZvQb3TrkXnWp3Qu/WvZFg/qiJgAh4kkCEhAVZzJ4NPP448PTTQMOGedL53Uxkf/rpJzO3/tnMs3+zwqCliRVwk/8GDRqYF+RVUK1atcJZHbLvSpFBcbJ582bzEn6FFS1//vmnvWclEwvAe7Y2loF27dqhTp06vrM40e5s8m0ztoHVm1k9fOZMGLMJMHmyz7rAtKj5acyUtXDhIdcmulOZsflFBMUXXcjC0Zg9itYRigiuKSJWrvRZZpyAoCWCqWglIsLxRHQPERABEYh7Arv27cLAaQNROqk0Hu34KBiLoSYCIuA5AhEUFmTxySdAjx4+tyhjJaBVYdasWZg6dSpmzJhhXspXNmEDbeyEntYDWhTC2WjdWG1SoFLU/Pjjj1bk0KWqU6dO6NKlC1obEZLADFfr1vnqKIwaBfTvD6OAgH/9C7j++ry7SyFBKwStEUY42VgEFnSjgKA1gutwuA8ZQeW3QjhrhBFXVihRRLBPFBEUTpEK/M6boPaKgAiIgAjEGYEDWQfw5A9P4vdtv2NElxGoWjKfL+/ijJOGKwIRJBBhYcGRf/stdj75JF4680xMnDjRFHo+1k7cu3btahIHmcxBHmsUGpONReL777/Hhg0b8KAJkD5pwgQUo1ig5YUhK3zDf9VVwH/+4+s9XYkoJBgj4YQEA7zpPkUhQRenwsR5FISNscj4rRDOIpGe7rM8OBHBNS0lZkxqIiACIiACIuBFAu/+/i7GLRpnxcUxlczLLzUREAGvEIissKBVYpwJ5K5uXH8ampSj5513nnVt8gqdo/WDcR4TTHzFBrP0MZP18rt3wwR5wARwwPhMAQ8/7Eut+8UXvixNxpXKH2wdKjciBnozMJ7iwS20RjDNL8UMrRBuYYyEmgiIgAiIgAhEGYHp66Zj2Mxh6N++P7rV7RZlvVd3RSBmCURGWNC1aMyYMTZ703XXXYczzjjDvCSP3rfkdOH60YiIliZepIzJlpRkXKES6MrUpw/w97/7rAKc2Ae70eLAWA8XWE0hwUxNNWv67umEBC0RzCKlJgIiIAIiIAIxQuCP7X+g35R+uLjpxeh5bM8YGZWGIQJRTSC8wiLTuAu9+uqr+Oqrr3DzzTfjggtiKHWccYE6YGIsZixYgGOMC1Qlprh9/nng1luD8wthxXIKCAZTc6GIYDxE48a+rEwMpqaQ4DrUblXBGZGuIgIiIAIiIAJFIrB171b0m9oPDcs3xMCTByIxIbFI19PJIiACRSIQPmHBt/q9e/e2AdkPPvjg4dO4Fmk83jg508SJlDDuXYtM4HNzIzQY8J3vxlgNWh0oHpyQWL7cFzxN4cCFFggKChPwrniIfJPVgSIgAiIgAjFIIONABh6Z+Qi2pG/Bk12eRPkS5WNwlBqSCEQFgfAIi507d5pERyege/fupqbcS1FBpkid7NvX1rLYYepq9LnwQrz+zjt5X84Ef9t6EKwJ4YQE09c2aODLxOSEBNesVq4mAiIgAiIgAiKQJ4GXf3kZX6/8Gk91ewr1ypoXb2oiIALhJhB6YUFLxf/93//ZgnNDhgwJ9wAjcz9TAwPnngsMG4YWAwfisssuw1Cz+EUELRB0ZWLxPVoeKBy45kJRURALR2RGqLuKgAiIgAiIgOcIfLXyK4yZOwZDTh2Ck2qc5Ln+qUMiEOMEQi8sXn75ZaxZs8bUjzMF5ArZGJPBatqsafHNN9/YbdaRiIZ2wARz32xSzz5uCs/VNPUvrHhgHARFBDNIqYmACIiACIiACASNwILNCzDguwG4+bib0aNJj6BdVxcSARE4KoE3ix31kCIcsH37dnz00Ue47777inAVxihvxrZt27DP1IOgUGGa2mhpjK/oZyw1d5ssUQfJgZYL1q7IFhVp+9MwafUk9PyqJzakGdcoNREQAREQAREQgUITaFWlFV4++2X8Z/F/8PTcp5Fl/qiJgAiEh0BIhcW0adNw6qmnmjl0wd/M7zK1IJhFas+ePbj22mttpWtepyndhkxLS0uzQiMQE8/J3daZqtjpTMsa0HIfR8FCy0Lg/tzn8HT2pTCNRf8STeXqJXR/Mm3t7rX47+//xRWfXYGWY1viqv9dhf/+9l8rMApzfZ0jAiIgAiIgAiJwiECt0rUwtvtYrNixAvdNvQ98iacmAiIQegIhzcvGKtWN6fJTwHb33Xfjk08+MTXm6tiCeZz0NzHuQ0899ZS90nvvvYfx48cj1VSTZoG9Fi1aWFerY0wWJooZCpG//e1vuOWWW9C5c2c8bepL/GQqXs+dOxfvmEDqeiab0nfffYfHHnsMa9euxZVXXokePXrY78uYuIfWrVvb7zt27IhnnnkG06dPt1XBZ86cab97/PHHCzgiej41xn0z78P2n7dj1Y5V2JaxDbszTUG97FamRBmUTAxBrQt3A61FQAREQAREII4IlE4qjae6PoVRc0bh1q9vxaiuo1C9VPU4IqChikD4CSRkmRaq244YMcJaGDhpL0j7/vvvcZWJS6AwoagYPny4dYWisOhrMi6VKFHC7uvfv7/JzLoCHTp0MHHRy/C8qRsxceJEm9aWRfiqVauGkSNHmuyszXHyySfjQpOhiQX5Lr/8cgwePNi6WL344otWaHz66ado1aqVKQGRYu/LmI6aptAcrRinn346zj77bHv8c889B1pBKlWqVJAh4cknn8RDxR9CxdIVkbonFQezDuY4v2JKRdQoXcMupZJKWZHB/ylSbHBdKrGUXVOApBRP8e0zx/G7MkllwHO48LPbl4DoLTqYA44+iIAIiIAIiEARCLz3+3t4a9Fb+Gfnf6Jl5ZZFuJJOFQEROAKBN0Nqsahevbq1CByhA3l+xcl9lSpVUKxYMf8SeCC/Y2OBvdtvv926RXHiz0aRQZejP01mpldeeQW9evWywuD999/HpEmTMHToUHtcJxNIzXPZ6KZU0lTG5rq8SevKbVoudu/ebd2ffvjhB/zvf/9DKRMnQaFSmEYxMuWqKSjbtKz9n9sHv3+AzembsSNjh71cUrEkvHTWS2hfsz3S9qVZs+3e/Xuxe99u+3nPvj2H9hlLR2paqv3M/en707Ercxe47Raem1gs8ZDQMIKEgqNsUlm/AKEgsSLEfFe2RFn/sW6b37NfaiIgAiIgAiIQzQSuaH4F6pari3un3Iv+7fujW91u0Twc9V0EPEsgpMKCb/o5eeeSkFCwt+eBhhRuB352NFetWmXdmCpUqGBdoPr06YMdO3aALlF169a1+37//Xdrbfj2229xzjnnWLcm1tTYunWrravBawVemxaSwM+lTS2Khg0b4o033sBtt91mLSKVK1c28dcmADufbdOmTWA/TjrpJFssb/hpwzH4lMH4fMXneHHei1iyfYm1zNA6QWsEl0rmT1Hb3gNGmBgR4sQG1/Qz3Zmx079vY9pGLNuxDOn70rEzc6cVMjyHgobHF0solkNwODFSrkQ5vyjhPooRWlPcfvvZ7Jd7V1Gfos4XAREQAREIBoEONTvg+TOfR/+pxtvBxF7c2OrGYFxW1xABEQggEFJhwRgJBlszruGaa64JuO3hNzmpf/PNN63VYcKECWDg89dff20tB7RCcHJOlycKCLo7vfDCC0hKSrKZop599llsMEXnRo0aZW8wYMAArDcF53iNdu3aWSsI4yPoSrXIVMamWxUzTDHOgjEddIXidXn/2rVr22t8+OGH4DkULbwvXbRYObwgbcyYMbj44otzVOCmpeCKZlfY5dfNv+LjpR/j+KrHF+SyRz3WipSSxvpT0mfhOeoJeRyw7+A+aw2h0HCCw4kVChGKj1Xpq6wQodWE1hZaYXg8P2ceyLSio3xyeWspcYIjcF0uuZx15+I+t5/7KFKKJxTPo1faJQIiIAIiIAIFJ9CofCO80v0V9JvaD6t3rsagUwbJMl9wjDpDBA5LIKQxFrwr4yT4pp/xEMGqPXHw4EErNHJnm9qyZYuNfXDWkcMdRwtC1apVDwslry/2799vs1DRTaog7a3338LYCWMxasgoNKzaEBWTKxbk9Kg/9kDWAb8VhELDLU54WDFirCjb9273i5HAY2gxsYLDuHA54cE1hYqzlPAzhYg7jt9RuCUXT456fhqACIiACIhA8AlkHszE0JlDsWHPBozoMgIVkisE/ya6ogjEH4HQF8gj05UrV1p3IloHGAMRL+2DDz7AqBdHoXXf1kgvng66HTEeonJKZVQrVc0u1UtXt1kqaFWoWqqq3cfv1XwEMg5kWBctig0nRpwrFy0ju/btsq5dToy44/gdc5fT6sHFiRIrSLJdttw+9z3X/J77ZSnRL1AEREAEYp/AK7++gs+Xf26zRzUs3zD2B6wRikBoCYRHWHAMDIAeMmQI7rzzTpx77rmhHVaEr05Lyauvvmpdqr744oscdTz2Z+23b0g2pW2yAdgUGwzi3rhnIzal+/bR1YhZoqqWrGrFBgUHU+RVLln50D7znd7IH/lB042L7loUIhQgVnQYttsztvstJ9wXeAzZ83sGrVtRku2SRbHBN1oujoSfA793goTZu9REQAREQASih8A3q77BU3OewsOnPoxTap4SPR1XT0XAewTCJyw4dqaEpbhgMDQFRkHdkbzH7689Wrp0KZhml25ajMWoWLHgrk8HcdCKDooPJ0C27N3iFx92vxEhnMRWSqmEKqWq2DgKChFaQOw+YwFxQkRv3//6nI62h5YlCg4nPOzaCBQrQrLFitvmd1xoJWE2LhcfkpfwCNyXe/tofdL3IiACIiACoSGwcMtCDJg2AL1a9cKlTS8NzU10VRGIfQLhFRbkyViFsWPHgkHRV1xxha0pwZoR0d4YNM7MUSy8949//MOmwg31mOgaxLSztHhwoeCgAPHvS9tsP/NteqDYoNsVF1pBaBmhAOHnxISQxvKHGocnrs+YEmcBCRQmzhIS+F3gNoPeWYckUGzwudnPdOcylpPcn/kdLSeqV+KJR69OiIAIRDmBDWkb0G9KP7Sp3gZ3t70bJuF9lI9I3ReBsBMIv7BwQ2QA9b///W9MnTrVTsJZk6J+/fru66hZ//rrr1YkzZo1C5dccomt+s16F15qOzJ3/EVsUIhsSd9i3a82ZwsQBjzT6lGpZCUbB0Kx4Swidr+xjlCEyN0nNE/XCo0AawgtIIHiw/85+xh+ZlYu65aV7bLlFx8UIiWMMAkQJO47rvUMQ/MMdVUREIHoJkBr9cDvBtpBPH7a4/p/ZXQ/TvU+/AQiJyzcWJnJicXrPv/8c1vp+rzzzkPHjh097SbF+hm0THz22We2gB9TyVIYFTRjlGPglTUFCMWGs4BwmxYQrrft3WbFCT+zajgDzJ2rFa0eToRwn9tfIaWC3viE+OEyQJ3igs+HIsSJD67dNmNMcn9Hly0KDC6MHaE4CRQe7jtaRdx+Pk9ZtUL8QHV5ERCBiBOgO/LTPz2NHzf8iKe7PW2t+xHvlDogAtFBIPLCwnFiwDPf+k+cONEWsatXrx7atm1rFxa0Y62KSLW0tDTMmTMHc+fOxezZs5Genm5T57LaN2tkxFtj4T2Kj617t2Jr+tZDQsSIDn6m+GD6WB7DN+ZOhND6wYUZsThJ5bb7jhNYtfARcC5bFB+MD6Ew8QuRbIHixInbzzWruecWHRQmfM5cOxHijqHVhJYwNREQARGINgIfLf0Iry14DbRcHFfluGjrvvorApEg4B1hETh6Vr+eP3++fzLPgGgW22vRooWtqk3RwaVKlcIXfgu8X+A2C+rRIsFifAsXLsTixYuxefNmHHfccVbktG/fHs2aNQs8RduHIcC36cywZC0f2dYPTmApSJwrFrf5vU3Da6wdtH44AWKFh9nHNS0inLjSTausqWmhFhkCfE60bOW2gjhh4hcj2cfwM8+h0HACxIoOIzic+KCo5HO3blvZ+7kt/+bIPGPdVQRE4BABWi0emv4Q7ml3D86uf/ahL7QlAiKQFwFvCovcPc3MzMQff/xhJ/kUGayLwcJ7+/btQ+XKpiZEtWqoXr26zcRUpkwZMBg8OTkZiYmJ1tJBawevweNZ2XvXLlMTYbepDG3WXBh4nZqaCrpl8VzGejRo0ADNmze3S6NGjeCK7uXumz4HhwDT8HJyGmgJsaIj2wpCgcJ0vDyGbjxWfBiRQcHBooMUHIGCxIkSFtFTiywBZx2hFYuixFpAjHuW2+ZnZzXhc3afaelw4sOtrTjJds9yFhJ+57aVAS2yz1p3F4FYJLBy50r0ndwX5zY6F7ccd0ssDlFjEoFgEYgOYXG40dJFiYKAC60KO3aYCYoRCty/Z88e0PJBMUE3q+LFi/uFBmMhmA6WIoTpYGn5oDjhUqJEicPdTvs9QoD1KehuRbcrTkT9YiTbNcu6aJltfsf4gxyCI1uA0AXLuWM5Kwknp8qw5JGHbLrhgtkDBQlFh3/JFin8nnVKKDpTiqf4xYgTG054BLpruX08RmLEO89cPREBrxLgvyf9p/ZH04pN0adtH5QoprmCV5+V+hVRAtEtLCKKTjePCgK0hFCAOLHh1pyc+gWJ+X5bhgl+Nm/ROeGkFYRrChInOtyagemcjPI7FtFT8xYBCklaQgLFSOC2EyXOMsI1C03ymVp3rFzWEIpPJ1Dcmr8NuWl567mrNyIQDgJ8qfX47MexeudqjOw60lrLw3Ff3UMEooiAhEUUPSx1NcQEmAmEk1BONhn3QRHCt+B2bYQHBQoFiBMqnJByMupER+Ca7lmBnxWcHuKHV4TLp+1Ps8+c7lh81laIGOEZKD4CtylA6aZF0cHgdLvOdsdy4iP3Ws+/CA9Ip4qAxwgwoPuTPz7B6G6j0bB8w+D2ztT6wvLlMP7eMH7avsV4ZBiXDGPG3Qnjxw1kZLAoGIxLhu/eCQkwLhkwPuAw6SmB0iZhRvnyQKVKMC4ZMCk3gbp1YYJTgRo1gttfXS08BIw7P1asgAkCBtauhXHT8S1bt8K46MC46/h+F8ZTx/+74G/CLcZDx7jpwPj7+34bJnzA/i5q14apWg2TijVY45CwCBZJXSf+CLBAIYWHExtcO0uIX5Dwe7Nw8korh7OEcOLpRImLEQkUIxQtat4l4NL3BgoOPnt+9u/LjimhUKElJdAVi88/t/igQOFvwFlJ6NalJgIi4E0Ck1ZPwsg5IzG4w2B0qNmh8J3cvh0mUw3w00/AL78Aa9b4REDjxjD+2T4hQDHASaFx4UaFCocmi27SSIHBCSXFBieYnGhSgJh6YeDEk9c0CWnsmvuPOQZo3RomIw1MZhqYINLC919nhoYAhaTJQmrSkQKmXhpMYiGTxQjg74K/By4mxtj+HigiKShTzL8ZzKBqXP9NLQSY4GKfyODvYu9enzjldfkboDjhNSleTeyyiRmAyUzk+12YJEX2N1K434WERWh+EbqqCOQkwADmQNHByadflGRbRuznbAsJkwU4oUEBwpgQvxChlSTbIuIEiuIEcvL22idaw/Jyw8ptHaFgobWMvw/+ZgKFBkUpfwPOSuLEiV0bUUKriH4HXnvy6k8sE1i8dTHum3ofrm15La5sfmX+h0qLw5dfwuTXB5YsAU480TfJ50SfhYIpGELVtm0Dfv/dJ2bmzQPWrQO6dQMuvNA3mQzVfXXdoxMwpQwwYYJvWbkSOOkkoE0bmLoGQJMmoRWAtICYJEn44QefoKHgPess4JxzCvq7kLA4+pPWESIQfgKsFeKEBi0h3OaEk9ucjLp93M9JaMnEkn7XKyc2rBAJcMnyT0wVIxD+B1qIO2YezPS75vEZ2yXbVY/bfgtJ9j6KElZU53Pnb8A9bys8aCHJjhexn7O3ZRUpxIPRKSIQQGBj2kbcO+VedKrdCbccf8uRxT0njm+8AXzyCdCuHXDmmUCnTr43zAHXDOsm31hPngx8+CFMNhvg5puBk08Oaxfi/ma0Mo0bB3z6qe93wcn8KadE9nexcSNM5WqfyKE7Xc+eAC0ZR28SFkdnpCNEwPsEXFYkJzRcfAgnoNzHSagTJowRYKVtNwG1AiR7MspJJ1223CTUHaNsWd7/DbCHLpOWixUJfP7+bRPc7n4TB7MO+n8HfPbut2BFSYBblhMjqiETHb8D9TK8BFirh7UuMg5k4InTnsi7KOjUqcDIkcBppwHXXgvUqhXeTh7tbiYVP6ZNA15+2Wc1ufden6vN0c7T90UjQAvFmDFA167ADTd4kzn7+PrrQNOmwN13+2J3Dj9qCYvDs9E3IhC7BJg5iZNLJ0QC1zm2jYWE8QGBb8Kd2Mi9djECnJTKJSc6fjucCLnYIPfcKTyZzpmWsdxihBMoKzKyLSCBrlpuP38XLp6IvwWJ0uj4LaiXRSfwzNxnMGPdDBvUXat0gHB47TXf2+jHH4ep9Fv0G4X6CiNGAIMGweTy9/nwh/p+8Xr9UaMAuqM98ogvdsLLHBiD8dJLwFdfAW+/7Yv3ybu/EhZ5c9FeERCBQAKcYLpJZuC2m4y6Nb+jdYRCxAkNFi9kXAAnnPZNeIB1xIkTpe4NpO3dbcZ9BD5/ux3gnuV+B85CxkxbDFoPFCDumVOIcNt95pq/D6Xy9e7zV8+OTuCTZZ/g5fkvY3jn4TiuigmM5tvou+7yBVLTpSRa2hdfAM89Bzz/vC9rULT0O1r6+dFHAK1Cixf7snlFS7/5u6AQ+vhjX1apv/ZbwuKvTLRHBESgqATokuMmoG6S6T4Hvgl3+xKLJf5l8unECN9+u8mpEyYULmreJ5CFLN/vIMD64Z65EyFcu23+VsqUKGOTFbhnHSg8nEBxa4oTWUS8/zuItx7O2TjHukYNxlno8M504J138P5KE1dhvI0ub3559OBggPm77wKvvhpZf//oIZa/njKm5ZZbgAULfJmc8neWd456801f4gH+Lv6aaEDCwjtPSj0Rgfgl4GpJuMB0Jz44CeVk08YM0GqSPUHNPJDpjwPh5NIugcHJ2W/DOTl1wkRvwqPj9+VEqcuO5URH7rgRunC5eKHccUHMohYYJ0QhQoGieiLR8RuIhV6u3rkKKy7qjE23Xo0yp3ZBzy96okxSGcy6ZhaqlqwaPUO8807goot8gebR02vv9pSxLFdfDQwcCBx/vHf7ebSeURgxVqhLl9xHvpmYe48+i4AIiEC4CdACwSWHX/IROsGK6m7CSeHBbbs2k83lO5b7v6MQ4USV37uidk6IUHQEChL7htxMQN1+Hq8WfgKc/HOpV9YU8zpKo0XEPX+KUD5nFzPyx7Y/rLUkMJEB44X4zHNYQeiOlS083P7KJY0wMcfJMnaUB6CvD0ug3tYs1KzcBteUXYbZE95B6p5UbC++HcNmDsMzpz9z2PM890WPHsC330pYBOvBLFvmu1I0iwqOgL+LSZPyEhaQsAjWj0XXEQERCBuBxIRE+9avIG/+KDA4CXWuOBQdDGLnm/Hl25fn3G+OY2CzExmME+Fk133mpNNtB65V2DBsPwF7I7pBWXFonkd+mosRcaI0UHQs2rLIJ0yyxQm/239wvxUdfP5OfDjRQRHi9nGbVhMlLcjPU4iTY0xBuox6tbFo8xSs3rnaDpqW1g+WfoBerXqhdbXW0QGieXPg3/+Ojr5GQy9ZUZ2F6KK9sbDiW2/lOQoJizyxaKcIiECsEXBvwuuWrZuvodEq4sRH4Ftxbq/etRrbN/mEiT0mW7AUSyhmBYhzwwkUHW4CbPcZty1X6I4iSS08BDjxp5sUl/w0lzXLWkIoOMxCYbopbROWbFtiPweKE9aTqVKyihWdFBpOcLi120dBIotYfp5AFB9jKh//d8E4/FZ7V45BrNu1Dv2n9seEyyd4M1EB61qwjgJdXVggjVWcGzbMMQZ9KAIBVkgvXEXrItw0vKfqX7Tw8tbdREAEooQAJ/ycJHLJb2NhQwqPQMuI26aLFkWIixtx6xLFS9i37oEiJHDbChIjRDgZZRA7v1O8SH6fSNGOowWqRqkadsnPlQLjQyhCrOgw7nlLty2124wJ2ZS+yQqSfQf3+a0hTnBYUWIyqNFC4vZxzd+AgtTz8wQ8dEyNGriiXCd83iQJczbMsc89Y3+G7eDc1Ln4YMkHuKLZFR7qcHZXmBJ3/nygb1+gWjXfJJjF/JgW9YQTACOY1IpAoE4dgFW1o72xenujRnmOQsIiTyzaKQIiIAIFJ8BK1imlUlC9VPV8nxwYuE7XLCtEst20NmzdYN21XG0Jfsdtvu2mwHALJ55um2v/ZzNJpfWE+yRG8v1ICn2gs4rlJz6EldUpPLamb7VxIVxTbG5I2wC6ZTlLCNdM22tdr+h+le12RcHhxAcFCZ+5+yyXrEI/wuCdaN7yl9ufiPGtn8GaSsXw4ZIP8dqC17Bxz0Zs2LMBD33/ELo36G4tl8G7aRCudP31wI8/AmvWAJs3A3v3AmvXArNn+2paMEXqjTcG4UZxegm6lm3ZAqxb570iiQV5JNOn+6qE53FOQpZpeezXLhEQAREQAY8S4Jtx+3Y8W4BQcDjLCIUHJ6hc3DYnpimJKVZgONERGDNiLSEBIoTf8TjVF/HGD+AgDtrnuzl9s9/9yokSrvnsnSWElpKyJcr6RQZFR6AYYYyIEyD8TpaQ4D7j9PR07Nq1yy7F338fxX77DYv+/ndw/570PVi0exGm7ZmGXw78glMyT0G73e2QmZlpl3379v1lvX//fhw0xckOGBcaTte47RZ+TjBuNVwXM5YEt3Cf20406UC5lChRAklJSXYJ3C5VqpT9juuSJUv6l8o7dqC+ERP1TL2FhORkFN+5E8XS0pBljkvYsye40OLtaiyYuH498MADBR55mnkGf/zxB1atWmX03lpsMK5rW4xQ2WGeF393e40Q5O+Iv4nixo2Nz7pMmTIoW7YsKlasiKpVq5qi77VQu3ZtNGnSBHVoQTlS47P+v//z1a5wFgr2/aabgPfeg7l47rOVbjY3EX0WAREQgVgksGvfLjsBdSLEv862kvg/U6Rk7+Obb2cBodBwrliMD+F+J0jsMcYyQkGiTEqR//VQVFrhYUQHhQYTFLjPgdsUp3xe1vqR7X7F+BO6YllBYtzvAoVIPIqQjIwMbNq0yU7eOIHbutUw3bYtx8JJnZvYcfJerlw5/2SuQoUKdrKekpJi124Cn5WchZSSKahWtpp/Aph74s9JYbKZ1AcKB4oGThgDxcPhRAcFCM91k83cwoWihePjZJXCh2se67b5HceVYCpw11uxAucYkfRB9eqYbCal5cuXt5PVSpVMLJGZsAYu3Fe5cmVUMQUBuc2+qgUQMJxxzTXAQw8BrY8cxM/f3A8//IC5c+fil19+sb/Fxo0bW1FQ3TwLCgP+xrjwGTgxwTUFK585nyl/t7t377ZiZJ2xlqw34mCxKc630wjGY445Bm3atLHL8SZbFUWpbbSqdOgAo1586w8+gHmwPqHRvTtwySUBg/JvSlj4UWhDBERABEQgB4H0/el+kUHh4awgVoQECJJA64mtMUIRkp1Fi6LDCo9sYZJjvxEoFCfcJ/edHOjD9iFQhFB8OOFBQUILifvMZ063OgoPWkAoOKwIMS5Zdtt8phihSGG9hmhp27dvN14p6+yEi5OtjRs32oVvgjcbVyBOyviWt5qJN3CTt9yTaX7mW2EKCk7oYr1Z64t5k52XyKLoohhJNWKE/LhNflw4Ea5hYk+41KxZ0//mnBaVuGs//eSzAowdC6PAcgyfXL/66iuTzXUSVpssUh3M5P7EE0+0E/969eoFVahRTFKwzDMxNBQvvF+nTp3Q3QiH9u3bA6NH+/pJMXTSScBll8GYzHxVw3P02v9BwsKPQhsiIAIiIAJFJuBSujoLCEUHt7nmZJVrumgFihN+ZkYlCpBAK4jb5oSW7j20lNh9PM6IkWiawBYZbIQvQHcsPj8nOJwI2bLXvMU38SFc8ztmzGL8CEWHExxMC+3EiBMfXHMJhxWEb+bpOrJy5Uq7cHuNiSHgJIqT2rp16/onu3QR4Zt2Tn45EaZgUCs8AVpT+NadQo2ijdYfsqeI4z6KOgozTpj5HOrXr4+GJj6FC60eMd2Mm5l1J2LAvHEz+vXXXzFu3Dg7yT/jjDPApbWxaIRTrPL5TDfxE59++qkVjpddeimuNC5xSaZ6PIwINwoRmDnzsIHb5nlJWMT0j1aDEwEREIEoIcDidc4FywkRJ0CsRcS49wTu5760fWk+wZEtNAKFSaAA4aSWIoT7KEjkrhXaHwXT9AYKDwqO1LRUu49WEH7HNbOklSlRxm/poNCgGKlWqprNmFWllE98UKTkt0YM3T1+My47S5Yswe8mc83y5cvtRJZ+5c6nvEGDBuDCfRIOof0tHO3qdNei4KDYcOKPgo9xBHTjamQm3E2bNjWlH5pZlx0KjphyrZoyBejWDffefDNWGWtPz549cfbZZ1sXuKOxC/X3K4z721umVsUMIzTGmrosNU1xvwTjWmVMJ8D48TBKMK8uSFjkRUX7REAEREAEvE+Ab9EDxQfFhhUfxgLi36aFxCycxHLNZd+BfX6R4VyznOjgZytKsq0jjC3h5FeCJDS/B1ZKdy5XdLviNvfR8sFtt1BY0PLh4j+sCDGCI3GPCUxeW8JkSJ2PBQsWWPcb+oy3bNkS9EVvbrLw8E14XLrbhOaRhe2qdKNaunSpf1m4cKF9i06hcZwp0Eb3IMYElC5dOmx9CuaNKIKfe+457P7sM3R88EFTPuQcT4omCr8xY8aglYmxuNRYmZJMXIZNPcwUxH9tEhZ/ZaI9IiACIiACsUyAxQ8pSJzQCBQj3Bf4mRm1bGyJ2c/4ESc8nCChi5bdly1IuO320VLC1MD8HA6Xn1h+Zkw+QJer5anL8d3c7zBvyTwsWbsExZKK4e81/o5WrVqZuc4J1qUmpt5ox/JDLcTYGBNAgUG3IS6MD6D1ifEAjEXg78AffFyI64frFFoD7rvvPhO2cBLuvvtuT1gojjZ2ivf5JsPZ5calMIUJBL75BjjllNynSVjkJqLPIiACIiACIpAXAcaPWDGSLUr8oiNApFCwcD+P45oihW5eTmA4ywjdtpwAybFmEURjLXFWkvy6AOXV31jZRx/9b8wkZurUqVhm3DE4iTz55JPNnOYUGxQcK+PUOApOgDEcixYtMm7/M232pD+Ny85pp52GM888007awxmfkN/e8zdMt7zxxp2oR48e+T3NE8elmTiLqYbvt+a/wVGvvppXnyQs8qKifSIgAiIgAiIQLAJZyLIiwwkOio/d+3b7Y0YC91OQUIi4DFw811lEKEAoSCg6coiRbCuJ/c7EktjvjEBh9XivNI5rza41aFm5Zb67NG3aNDv5YsxE586dre95uINZ891ZHegJAgw+/v777/Hll1/aAPFzzz3XZEW9xAbje6GDzL70gKlfMWzYMLRt29YLXSpwHxgXwyxfN5laFk888UTu4HIJiwIT1QkiIAIiIAIiECYC+w7u81tJ6A60O3O3FR0UI25x1hF+xwB4K1SMeClerLgVGWWSE1moAAATyUlEQVSTcgoSCg/us+tssUKLirOSMNCdWbqC2e6efDdemPcCzmxwJnq37o0z65+JEsVK5HkLptoca9JwMi//pSYrDbPjePHNc56d107PEGDGqY8//hiffPKJdZO62QRIH7UgXAh7z1S8DM6mqGBsSLS3e+65x1oP/27cowKahEUADG2KgAiIgAiIQMwQYHYmJzps1q3stL8UIFaUGKFC6wm/c8c5sUJBQ0sJxQaFhhMhbpvWkVJJpex+t49runpxnbtq+3VfXIdxi8ZZtsz8VL1Uddx0/E24usXVqFGqht3PTEB8A8rCcLfffrsN0C3qw+DEkoXe2FiAjkG/DP5l4/1+MvUEmGKWufsD93G7a9euNuUstxlITBcWFhILV2OmJE6Ku3TpYmMHgnHfI/Hg9V988UXrnsPAYr71v+uuu4Jx24heg3U3PvzwQ7xjUqbS9eiGG26wv4Vwd+ohUxCPWa14/0g28njmmWdw//33FylYnL+RK6+80gZ2M3tXdnvTO3ZS1yWtRUAEREAEREAEikzAZVJiNqWCNsaT0F3LxYxQcPBz4Hrt7rXWghK4L21/mnXx4v0oRigyKE4Wb13s7wKzP3EZ9N0gPPPTMzij3hm4qOpFeLrf0zag9bzzzvMfW9QNTngY1M2JFIuy0f2kb9++GDJkiE1l+sILL9iJ0bfffmsn8KyjwDfKDAi+/PLL/bd/7bXX8JnJ3jNx4kT/voJssMIxl4K8MWf8ALMGsS8MSg5GOxIPXp9ihhNPrhlcHAvComTJkrj22mtx4YUX4nFTM+L111+3k/tgZgqj6+Lz8563Qrlh+YZ/eVTkyQJ0gwYN+st3odjBuJMWLVrkKRxY14UpfYvamKqZXFl7g6LJ30yeYDUREAEREAEREAERCBoBYy3JMuIha+WOlVkLNy/Maj+ufRZGmICRXEvl5ypnVXq2UlbF3hWzTCxF0O4feCEz4ckyfvd21+DBg7NMATz/18blKstYMbJMZe0sM9my+1955ZWsKVOm+I8xPuVZRuxkGYtHlslC5N/vNvbs2ZPFhW3fvn1ZmZmZWTyHC7e5XHTRRVmff/55lhEL9jh+Z9742m33lxEe9ntTsdrtyurWrVvW//73P/9nfmeqgfs/83rsN+/hmhEGWVzcPm7zfq4diQevZzIvZRkLTZaxHNlTjAuPO9W/Zl8DW179yGuM7Iu7B883k1x/P931cnNx+4O1Nm/Zs4zVIFiXs9d5+ZeXs5JGJWXVealOVrd3u2WNXTA2a/2e9f57/Oc//8kaPny4/3N+N3bt2mV/W+73xfPIhwxNhW7/ZQKfhyk8mGUEZBbPdS03U17P/SbcuSY+xR2e77VJrJB11lln2eeYfdIbxfwKQxsiIAIiIAIiIAIiEAQCjJ+olFIJ9cvVtwHbTNXLlpyYjNpla+PYKseib7u++M/5/8FVK6/C86c+bwugBeHWh70Es0uxqjBdnALbs88+a11UGORrJu3WTSYwpoMuQbReXHzxxXj66acDT8XIkSPxxhtv4Pzzz7frgQMH2krSK0w6Ufr4M3vVrFmzMGfOHBuIzsJ9//3vf/HII4/Yc+kWw3vSisKaG3QtYR0OWlRyNwbLvvfee2CsADNkmckh6N9OS8r1118P3pMZs9jXyy67zFo6HjT1EbhNdyozucxxydw8mE6U92YGLjYjknDFFVdYy06vXr3sPr5179evH2jB4X04ntz94IG5x2gmwbjuuutw6qmn4sYbb7SWm3vvvRe8Lt3TmDbWTHStRWHo0KE2oxOvHYrGvtFCRTe4YDa6DzJBweTVk9F7Ym+0f6s9Lhh/Ad5f8j5+Xvwz2rVrl+/bbTfZl7p3746OHTvaOCNarfic6c7FqvB87ozTyOt5zJgxwxaGZO0JPnNaaQKZvvvuu9bFzwgPa2ng746/QyZGYHxTQRqrprNSPbNxuSZXKEdCaxEQAREQAREQgZAQYOzFuY3OxaVNL0WnOp3QvGJz/32eX/Y8zhp4lv9zKDaMpQKTJ0/GgAED/jJpT05OxkcffWQnfv/3f/+H008/PUcXOJkzVgxbcM+8nbVxIMbCYSfDLMpH1xoKiPXr11s3KrqGUFSUL1/eTviZ/pRuWHQboSsSJ/mcSFevXt2mRmUcBd10vvjiC7z//vtg5iAeQ5ES2HhPXoNuLsaKgcqVK1sRwCxDnLTSf5/CgO5effr0sQKKhQLp2sXvWYncZSLKiwddxlhM0DXGpHDcFA68Ll2jKHgoECgqmIFp9OjRuOOOO3L0w1hK7P0Dx0ixYqwv4GSWvHgdMmJlZwoVfk+hYyxFNlifoubf//43RowY4boT1DVFzeA5g7FvuakkHdCKJRSDsTUF7AHysy81PTXHOWmZaeDy564/8d2a77CjzA5cWenKHMcc6UOFChVswLmxPuCll16ynOkWR5FLMUahwOfN5Aa5nwfFLht/P/zN58X0mmuuscdQLPMZM1kCl7ffftsW6rNf5vMvZojis6P4YZOwsBj0lwiIgAiIgAiIQKgITL1y6mEvzcnspEmT7Nvxwx5UxC84EeNElcHLnHBRTAS2WrVq2QBfWjMWL15srQn8npWfaQlgoCsbM1VxokefcgoCvq1lCwzqZlwCJ3eMi+AE3zUW7qNVgJNmigo2Bo1//fXXNluQqyDNN8d8e8/JWmBzxdRKlSplA9J5fd6LooZB77RWMG4gJSXFnkbhwfgCNvrDB1osDscjsLgchUW5cqYSvVkoTJj2l8+J57Kx7wyyZ8B3YD84zrzGSLHk+sO+MUsSm+sb35azyB1ZO972gBD8RXH28I0PW3bBuPy/f/03bp1wq/9S5MikBDVK18A1La/Bik9X+MfrP+goG7yG+02QNTlzH5MbUGTyWef1PHhZVyTycEzd97wenzM/8zlQ+BW0Gfc8K3LdeXKFciS0FgEREAEREAERCDsBpq2kC1CgO0WwOsEJLhsn6pyYUVBcffXV9jP3c7LNjE9snNQ+//zzmD17tv3Mv+gmxTfsDP7mwuBbBnzTfYluPbQw0GWH16F7ENttt91m3xLTgsG3uWycuDFolqKBfeDElo0uQnR5YWMf2ZitipYGih3XUlNTrfsLrQ8UJcaf3bryXHXVVaDrC4VF7kmh8cO3x7lrcH00Hrwul9yNIoBB9eecc451J+P3ru90KQrsB4u/5TXGwOvm1TcKI/KkoGI/yT4UjddlXyjUgt0oJFir5aEOD+HLy77ET9f9hL5t+6Jdo3bWSlXQ+7nfBAVpYDE99p+/qbyeB/fzezI+HFN+zyWw5f4c+N3htvmbo1WFmdVcK27MUUPcB61FQAREQAREQAREIJwEaAXgG3G+Cae/N92GgtXoX053EBOQbAvsmSBqMO6Abjq8jwmoBd2Zzj77bPt2mJYHuvjQ759xEZwiMX6iQbabB91KaPVYu3at392Hb+v5Np9uVHR/osWAWYD+9re/2fFwLBQLFC2NGzdGV2MVYVzGxo0brZsRhQivxwkvBQsFDGMwOMFmTAcniBdccIGNr5gwYYJFwzfRzZo1s2Ph22taFTiJ5HgocngfnmsCc8FMV/S359tpulkdjgfdb2iNYXre/2/vjnGkSLIADPeuu8LCGJzlAjhIOBiLNANcBAMsDM6AxkVzhzkCV8BB4LBCuAiw5gDgb/+5mzPRtVXT1dENFMyXUlJZRWZ11pdpxMt4L6LfXE5/Q+wWMFVrUc9IQ/WWvtT31tjtt3ee9Vys59G+jX41/sbSd548eXL0+vXrpW4gi4KrvrO/+f79+yWlqs9KrSpYevjw4Ykn4ee9Jwrs6kkqeGn42bGO5rzf/cM/fjj67eNvR7/c/uXo53/9fPTTP39ahlRev7eeh1KNqnfpOuyzVEfTeXafdM91basNKV2pnp/uo23Xo8CzlKmnT58u1+3t27cnTI8HEVhS/7pG1Wh0L5Xi1/l1f5Qe1X28z1IKW/fnGhwfH/Pvvx1HKCdDln2+yT4ECBAgQIAAgQsUePny5fLk/fr160cPHjz4arMl1wCtsbSZLrXrp9YQ39y3AusazOOQpgU3pTG19CS6At2KX1uaZbyemxr97TMet+xw/M/69LqGaedYw7jPCkbWlJl134t6LYAoRWazMVzwtfbG1Izcdh6bv3Hfc+op+KVLl/bd/dT9Or8a5PVYdW89evRoCcROPfCCd6hAv5SmBgnYZ3n8+PHSm1Yv2Xqf7DpuvB7tk333SGlTLRdt2nfWq1RPYw8Erl271kct5rH4r4N/CRAgQIAAga8pUGpKhdKN2tPIQb2vOPVLz1Jco35bw36XzRhUVBTck+aetm9+xxpU9D011MfGYqlO5ar3JHrzuPXvjo37dZ+Ci88VVPR36wnZtqxBRf9X6s2289j8jdu+Z9tnFxVUFMj1NL57qvOt9+lL30vj76tIvZG9qo2pt+m0pXuidLN69E5bxuvRvtmvQUXvL8q071qX0vJKBxyCiuW/9FisQl4JECBAgACBgxA4nu/gqJSNUkFqJN25c2dJ1xhHLTqIE904iVJ5esp/8+bNjf/Z/bYn6qUX9Vp6Sr/VMifQiFSlsBVQvHjxYkm1Kv2o1LZDWEqlqy6i+6QRwnYtpT/1G1pKE9xsvO867kt9XgpcPXWl7a2DBfzvb/8qsPhSV8HfIUCAAAECBM4s8ObNm2U40hplPdHvKWkN9wqh1yf3Z/5SB3w3AvX0VJNR0X1rM04XnLV+jif154Ur8Kn3orqXQwl49v1NpQj+eFzb0UhSBf7rKF/D8QKLAcMmAQIECBAgcMACjcDUJHc1IBsKdp23oSe6pblsaegc8K9xajMCFXpXBF7RfY30ercqXG9UrwLOXelbM3/rcx1TPVEF+vWmVNj+LSyN2tYwyw16UF3FjuJ3gcW3cDGdIwECBAgQIHBSoFSMV69eLaMTNcpTE8A1r0RPrAs4GjGnUabG2oaT3+DdoQvUmC2AbC19qGtcMXlP+pvQr2LsdcSuQ/8tm+dXulPDBDeUbwXl9cAd4lLg1iR6jTTVCGaNUPYni8DiT3D8FwECBAgQIPCNCFSj0NCaDf3a8K5NdNdrDdFmKW5+hWo0rl69ujRGG17V8vUFGr2oWbjfvXt39OHDh2XtutUzUeFyAWJrAWPze+w7FOrX/2X7ncGzZ8+WtKiC4nv37n2W+TX2O5OTezWSVIXvTQTZ5Ib3798/MeDAyb1/fyew+J3CBgECBAgQIPDdCTSBVwFHDddm0a7x2jwTDdNasXTBRmP/l+LRRF/Nx9D7AhLL+QUK+BrhqLVrURDR5IFtdy2aByP7NeirqLlAsLk4xhG3zn8mh/sN1S40i3YN+Yr/m2/l9u3by/35Jc+64vcmPCyYaI6L5ndpQslxssZTzkdgcQqQ/yZAgAABAgS+Q4FPnz4tAUYN3bGxW6O3RnAN4suXLy9DlRZs1MPRE/RxbcjYnjT/FYvIm7G8NJ51bWjUtvu8eRVaK6zufWYZFkBcuXJleS2oq8Ha+3Eo3e/wVjvTT6qOqMLoAo2Kz2/durWkfTV548YITGf63l07F2w3MV6BxPPnz5f0wUauunv37kzNksBiF7TPCRAgQIAAgb+uQLnlBRg1jnuq3ro2onsdG9JNSFYjsLWejgqI2+61gvLWaj1qGPY6flZQ0pwDjbSzvrbduqNA9kwXpVSjnkQ3odn6Om4XYDXnQz04vfa7W9u3oKCUmM21/Zo/Ywyy2i7QWtcCruZX6LW5LixnF6iupMZ+tURtF+iWFlZvTgFZwVnupYd1v21buv7dr13DguZmea+3qJTBZlbv2Oo7bty4sRTAn7P4XWCx7SL4jAABAgQIECCwr0CF5B8/fvy/Bnifta6N9c3XjqtBPzb0a9CvwUAN8npOCjDa7sn+OiHd+tq+7VNws669L71mPWYMWsbgpQCnYGcNdNbXgp/WgocxUBoDp31t7HcxAl3T6k7q0SiFrAChQKEAt1ncu4+6P9agtPfdG907XbcCkAK9eokKSApOmqhvV0AyedYCi0k4hxEgQIAAAQIECBAg8IfAr3//Y9sWAQIECBAgQIAAAQIE5gQEFnNujiJAgAABAgQIECBAYBAQWAwYNgkQIECAAAECBAgQmBMQWMy5OYoAAQIECBAgQIAAgUFAYDFg2CRAgAABAgQIECBAYE5AYDHn5igCBAgQIECAAAECBAYBgcWAYZMAAQIECBAgQIAAgTkBgcWcm6MIECBAgAABAgQIEBgEBBYDhk0CBAgQIECAAAECBOYEBBZzbo4iQIAAAQIECBAgQGAQEFgMGDYJECBAgAABAgQIEJgTEFjMuTmKAAECBAgQIECAAIFBQGAxYNgkQIAAAQIECBAgQGBOQGAx5+YoAgQIECBAgAABAgQGAYHFgGGTAAECBAgQIECAAIE5AYHFnJujCBAgQIAAAQIECBAYBAQWA4ZNAgQIECBAgAABAgTmBAQWc26OIkCAAAECBAgQIEBgEBBYDBg2CRAgQIAAAQIECBCYExBYzLk5igABAgQIECBAgACBQUBgMWDYJECAAAECBAgQIEBgTkBgMefmKAIECBAgQIAAAQIEBgGBxYBhkwABAgQIECBAgACBOQGBxZybowgQIECAAAECBAgQGAQEFgOGTQIECBAgQIAAAQIE5gQEFnNujiJAgAABAgQIECBAYBAQWAwYNgkQIECAAAECBAgQmBMQWMy5OYoAAQIECBAgQIAAgUFAYDFg2CRAgAABAgQIECBAYE5AYDHn5igCBAgQIECAAAECBAaB/wCF8a5hAiQclAAAAABJRU5ErkJggg==)
 
%% Cell type:markdown id: tags:
 
### Differential semantics
* interpretration by Ordinary Differential Equation (ODE)
 
%% Cell type:code id: tags:
 
```
list_ode.
```
 
%%%% Output: display_data
 
\begin{align*}
{protein}_0 &= 0\\
{ribosome}_0 &= 10\\
{RNAcytoplasmRibosome}_0 &= 0\\
{RNAcytoplasm}_0 &= 0\\
{RNAnucleus}_0 &= 0\\
{RNApolymerase}_0 &= 10\\
{gene}_0 &= 1\\
{geneRNApolymerase}_0 &= 0\\
k1 &= 1\\
k2 &= 1\\
k3 &= 1\\
k4 &= 1\\
k5 &= 1\\
k6 &= 1\\
k7 &= 0.1\\
nbgene &= 1\\
nbRNApolymerase &= 10\\
nbribosome &= 10\\
\frac{dprotein}{dt} &= k6*RNAcytoplasmRibosome-k7*protein\\
\frac{dribosome}{dt} &= k6*RNAcytoplasmRibosome-k5*RNAcytoplasm*ribosome\\
\frac{dRNAcytoplasmRibosome}{dt} &= k5*RNAcytoplasm*ribosome-k6*RNAcytoplasmRibosome\\
\frac{dRNAcytoplasm}{dt} &= k4*RNAnucleus-k5*RNAcytoplasm*ribosome\\
\frac{dRNAnucleus}{dt} &= k3*geneRNApolymerase-k4*RNAnucleus\\
\frac{dRNApolymerase}{dt} &= k2*geneRNApolymerase-k1*gene*RNApolymerase\\
\frac{dgene}{dt} &= k2*geneRNApolymerase-k1*gene*RNApolymerase\\
\frac{dgeneRNApolymerase}{dt} &= k1*gene*RNApolymerase-k2*geneRNApolymerase\\
\end{align*}
 
%% Cell type:code id: tags:
 
```
option(method:bsimp, time:50). numerical_simulation. plot.
```
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%% Cell type:code id: tags:
 
```
%slider k1 k2 k3 k4 k5 k6 k7 nbgene nbribosome nbRNApolymerase
```
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%% Cell type:markdown id: tags:
 
### Stochastic semantics
* interpretation by continuous time Markov chain (CTMC)
* Stochastic simulation algorithm (SSA)
* numbers of molecules with conversion factor from concentration (100 by default) here 1 for gene in single copy
* reaction rates as propensities to react give probabilities of reactions after normalization
* time of next reaction given by exponential law
 
%% Cell type:code id: tags:
 
```
option(stochastic_conversion:1, method:ssa). % stochastic simulation with 1 molecule for 1 concentration unit
```
 
%% Cell type:code id: tags:
 
```
numerical_simulation. plot.
```
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%% Cell type:code id: tags:
 
```
%slider k1 k2 k3 k4 k5 k6 k7 nbgene nbribosome nbRNApolymerase
```
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%% Cell type:markdown id: tags:
 
## The high level of noise due to stochasticity
* may make us prefer to reason in the differential semantics
* but with the risk of missing qualitative behaviors only visible in the stochastic semantics
 
%% Cell type:code id: tags:
 
```
option(method:bsimp). % implicit method of integration for the differential semantics
numerical_simulation. plot.
```
 
%%%% Output: display_data
 
 
%%%% Output: display_data
 
 
%% Cell type:markdown id: tags:
 
# Part II: Gene expression control
* A *gene promotion factor* is a protein which binds to the gene (gene+promoter => genepromoter)
and which promotes the binding of RNApolymerase with a faster binding rate (genepromoter+RNApolymerase => geneRNApolymerase)
* A *gene inhibitor* is a protein which binds to the gene (gene+inhibitor => geneinhibitor) but prevents (instead of promoting) the binding of the RNA polymerase simply by the absence of binding rule of the RNA polymerase to the inhibited gene
 
%% Cell type:markdown id: tags:
 
# Question 2) Add reactions for promotion factor and inhibitor
* show how to control the expression of the gene by changing the concentraiton of promotion factor and inhibitor
* compare inhibition and absence of promotor
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Question 3) Find parameters to maintain a protein concentration equal to 5
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Question 4) Give a control law to obtain oscillations of the protein with a period of 24 time units
* the control can be implemented with time events
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Part III: Autocatalysis
* when the synthesized protein is (transformed to) the promoter of its own gene (protein => promoter)
 
%% Cell type:markdown id: tags:
 
# Question 5) Implement autocatalysis
* show the effect of autocatalysis in presence of an inhibitor
* both in the differential and stochastic semantics
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Part IV: Example of virus phage T7
The bacteriophage T7 is a virus that infects a cell with its DNA and uses the gene expression machinery of the cell to reproduce itself:
* after translocation of the DNA of the virus through the membrane of the cell
* the infected DNA of the cell can
* replicate the DNA of the virus
* and synthesize the structure proteins of the virus
* to form a new virus that may leave the cell and infect other cells
 
<img src="t7entry.jpg" alt="t7entry.jpg" style="width: 600px;"/>
 
### This is one example where you will show that the differential and stochastic behaviors may be qualitatively very different (explaining why some of you would survive and some would not)
 
%% Cell type:code id: tags:
 
```
load(T7).
```
 
%% Cell type:code id: tags:
 
```
list_model.
```
 
%%%% Output: execute_result
 
MA(c1) for DNA=>infectedDNA.
MA(c2) for infectedDNA=>_.
MA(c3) for infectedDNA=>DNA+infectedDNA.
MA(c4) for infectedDNA=>struc+infectedDNA.
MA(c5) for DNA+struc=>virus.
MA(c6) for struc=>_.
present(DNA).
parameter(
c1 = 0.025,
c2 = 0.25,
c3 = 1,
c4 = 1000,
c5 = 7.5e-6,
c6 = 1.99
).
 
%% Cell type:code id: tags:
 
```
draw_reactions.
```
 
%%%% Output: display_data
 
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)
 
%% Cell type:markdown id: tags:
 
# Question 6) Show and explain the differential dynamics of the virus
.
 
.
 
.
 
.
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Question 7) Show and explain the different stochastic behaviors of the virus
Use stochastic_conversion 1 and time horizon 20 for efficiency reasons
 
.
 
.
 
.
 
.
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Part V: Competitive autocatalysis
 
Let us consider now the following diagram where two contiguous autocatalyzed genes share the same promotion site
 
<img src="genetic_switch.png" alt="genetic_switch.png" style="width: 800px;"/>
 
%% Cell type:code id: tags:
 
```
clear_model.
```
 
%% Cell type:markdown id: tags:
 
# Question 8) Implement the genetic circuit above
* compare the differential and stochastic semantics
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Question 9) Compare the behaviors with low and high binding rates
 
* show the switching behaviors
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:markdown id: tags:
 
# Question 10) Give a control law to switch every 12 units of time
* Biocham events can be used to change the values of some parameters once a condition gets satisfied
* example add_time_event(Time>10, k1=0, k2=1).
 
%% Cell type:code id: tags:
 
```
```
 
%% Cell type:code id: tags:
 
```
```
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