Natural History of Brain Arteriovenous Malformations in Hereditary Hemorrhagic Telangiectasia: A Longitudinal Neuroimaging Study | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Natural History of Brain Arteriovenous Malformations in Hereditary Hemorrhagic Telangiectasia: A Longitudinal Neuroimaging Study Boyi Li, Karen Smith, Brayan Corona-Macedo, Bilal Battal, Raj Kasthuri, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7454851/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Purpose: The natural history of brain arteriovenous malformations (bAVMs) in Hereditary Hemorrhagic Telangiectasia (HHT) remains poorly understood and it has been suggested that they may have a benign course different from sporadic bAVMs. Here, we present a single-center longitudinal study evaluating the growth of bAVMs over time as assessed by serial MRIs. Methods: We performed a retrospective analysis of 44 patients with suspected bAVMs followed at an HHT Center of Excellence from 2014 to 2024. We excluded patients that did not have serial MRIs and/or poor-quality MRIs, and patients without radiographic bAVMs. Primary outcome was growth of bAVM as measured by largest dimension on T1 post-contrasted weighted sequences of serial MRIs. Secondary outcome was hemorrhage from bAVM rupture. Results: Twelve patients (3 male, 9 female) met our criteria. Average age at first MRI was 39.9 years (range 6 -65 years). Ten patients had micro-bAVMs and 3/10 of these patients had multiple micro-bAVMs. None of the micro-bAVMs showed any growth on serial MRIs. The other two patients in our study had bAVMs with niduses >1 cm and showed an average rate of growth of 1.61 mm/year. Ultimately, none of our patients had rupture of bAVMs over an average radiographic follow-up of 4.15 years and a total of 49.78 patient years. Conclusion: Our study suggests that bAVMs in HHT patients may have a benign natural history. We found no hemorrhages and noted minimal growth of bAVMs on serial MRIs. Our results suggest HHT patients with bAVMs may not warrant frequent surveillance imaging. hereditary hemorrhagic telangiectasia brain arteriovenous malformation magnetic resonance imaging Figures Figure 1 Figure 2 Introduction Hereditary hemorrhagic telangiectasia (HHT) is a rare autosomal dominant, multisystem vasculopathy that causes vascular malformations [1] Patients may have arteriovenous malformations (AVMs) of the brain, lungs, liver, gastrointestinal tract, and telangiectasias over the skin and mucous membranes [2–4]. The disease is caused by mutations in the transforming growth factor-β-bone morphogenetic protein signaling pathway ( ENG , ACVRL1 , or MADH4 ) and is diagnosed using the Curacao clinical criteria or by genetic testing for pathogenic variants in the involved genes [5]. Previous studies have shown that the prevalence of brain AVMs (bAVMs) in the HHT population is about 10%, with HHT patients more commonly having multiple bAVMs and micro bAVMs [3]. The natural history of bAVMs in HHT patients is thought to be different than that of sporadic bAVMs, with a lower intracranial hemorrhage rate of 0.7-1% per year, compared to 2–4% per year for sporadic bAVMs [6,7]. Sporadic bAVMs have also been demonstrated to grow at varying rates [8]. However, the natural history of bAVMs in HHT patients remains poorly understood. There is limited literature regarding growth rates of bAVMs in HHT patients. Here, we present a single-center longitudinal study evaluating the growth of bAVMs over time as assessed by serial magnetic resonance imaging (MRI) of the brain. Methods Our institution’s HHT Center of Excellence cared for 889 patients with a formal diagnosis of HHT from the years 2014 through 2024. Of these 889 patients, 77 patients had suspected bAVMs. Data was collected retrospectively via medical records. We excluded patients that did not have confirmed bAVMs on brain MRI, patients that did not have serial brain MRIs, and patients that had poor-quality MRIs on which it was not possible to accurately measure the dimensions of the bAVM. Twelve patients ultimately met our criteria. Baseline patient data including demographics, clinical characteristics, and gene mutations were collected. Data regarding the bAVM itself was collected, including location and nidus dimensions, measured specifically on T1 post-contrasted sequences by a neuroradiologist. Rupture of the bAVM and type of treatment undergone, if any, were also noted. Primary outcome was growth of bAVM as measured by largest dimension of nidus on serial MRIs over time in units of millimeters per year. Secondary outcome was hemorrhage from bAVM rupture. Results Twelve patients met our criteria, 3 males and 9 females (Table 1). Average age at first MRI was 39.9 years (range 6–65 years). Only two of our patients were pediatric, being age 6 and age 13 at first MRI. Ten out of twelve patients underwent genetic testing and all ten of them had the ENG mutation – the other two did not undergo genetic testing. None of our patients had an initial hemorrhage presentation, all their bAVMs were found on HHT workup. Nine out of the twelve patients had more than one AVM, with the highest number of multiple bAVMs identified being 6. Ten out of the twelve patients had micro-bAVMs and 3/10 of these patients had multiple micro-bAVMs. None of the micro-bAVMs showed any growth on serial MRIs. One adult with a micro-bAVM underwent craniotomy for resection. Table 1. Baseline demographics and outcome measures. Two out of twelve patients had bAVMs with niduses > 1 cm and these an average rate of growth of 1.61 mm/year. One of these patients was a pediatric patient whose bAVM was in a surgically unfavorable location, showed significant growth on follow-up MRI, 0.29 cm/year, and was subsequently treated with stereotatic radiosurgery (Fig. 1 ). The other of these patients was an adult whose bAVM showed very minimal growth and is still being conservatively managed with observation (Fig. 2 ). Ultimately none of our patients had rupture of bAVMs over an average radiographic follow-up of 4.15 years (range 1.3-9.0) and a total of 49.78 patient years. Discussion Our study examines the natural history of bAVMs in HHT patients by assessing quantitative growth over time on serial imaging. Our results, which demonstrate no hemorrhages and minimal growth of bAVMs on serial MRIs, suggest that bAVMs in HHT patients may have a benign natural history. Much of the current literature on bAVMs in HHT patients has been thanks to the efforts of the brain Vascular Malformation Consortium (BVMC) [9–11]. Prior studies have reported a hemorrhage rate of 0.4-1% per year, which is significantly lower than the risk of hemorrhage for sporadic AVMs, which has been reported to be 1–3% for unruptured, and 4.5% for ruptured AVMs [6, 7, 12–14]. Compared to sporadic bAVMs, a significant portion of bAVMs in the HHT population tend to be micro-AVMs or smaller than 3 cm with a low Spetzler Martin grade, and tend to have multiplicity, which is a predictive factor for diagnosis of HHT[ 3–5, 7]. It is well known that sporadic bAVMs have a propensity for spontaneous growth and/or remodeling over time [8, 15]. Our study suggests that the spontaneous growth rate of bAVMs in HHT patients per year is minimal, if any. This is supported by a study by the BVMC that followed 409 HHT patients with bAVMs and found that over various follow-up lengths, only three patients developed de novo bAVMs and only one pediatric patient had growth of an existing bAVM at about 0.28 cm/year. This is very similar to the growth rate in our pediatric patient at 0.29 cm/year [10]. However, their study did not review brain MRIs for all 409 of their patients to assess growth and were limited by only seven subjects with suspected new bAVMs having prior imaging for comparison [10]. The reasons for the differences in growth and in hemorrhage rates between sporadic bAVMs and bAVMs in the HHT population are not well understood. One possible explanation is that HHT patients tend to undergo regular MRI surveillance, facilitating earlier detection of bAVMs. Another hypothesis is that bAVMs in HHT patients form during embryogenesis secondary to the gene mutations affecting the TBGβ-BMP receptor complex [15]. Ongoing research focusing on expression of angiogenic factors such as vascular endothelial growth factor, fibroblast growth factor, transforming growth factor β, angiopoietins, fibronectin, laminin, integrin, and matrix metalloproteinases have provided insight into how bAVMs in general grow and remodel [16, 17]. The difference in the growth of bAVMs in HHT patients suggests a different pathophysiology of development and possibly less active angiogenesis. Notably, the only patient in our study that demonstrated significant growth in his bAVM was our youngest pediatric patient, at age six and in the BVMC study, the only patient to demonstrate growth of their bAVM was between the age of three to eight [10]. Another report has also described substantial growth and regression of a bAVM in a pediatric HHT patient with the ENG mutation [17]. It is possible that there is an age dependent relationship with angiogenesis and that if bAVMs in HHT patients are to grow, it will primarily be in the pediatric population. Our study has implications for the frequency and interval for surveillance imaging for bAVMs in HHT patients. Currently, the HHT guidelines recommend screening children for bAVMs at diagnosis of HHT and to treat bAVMs with high-risk features [18]. However, there are no guidelines on surveillance imaging in patients once bAVMs are identified on screening imaging studies. Practice and recommendations appear to differ between North America and Europe, and within the two regions there tends to be further variation still that appears provider dependent. A survey of North American HHT centers of excellence published in 2024 then showed that 89.3% reported rescreening children and 13.3% reported identifying brain AVMs in patients after the initial screening scan was negative [19]. The intervals for rescreening in pediatric patients vary widely from 1 to 5 to 10 years [19]. There are no data on practices in surveillance imaging frequency after discovering an asymptomatic bAVM on screening. It has been suggested that this is left up to the neurosurgery team or the HHT provider team, which again, can vary widely. If future studies support our finding,, they will help develop guidance on the interval between surveillance imaging in asymptomatic bAVMs found in HHT patients. The relatively minimal growth, even in pediatric patients which appear to show more propensity for growth, could argue that re-screening should be done at longer intervals, particularly in patients with micro-bAVMs and bAVMs found in adults as these seem unlikely to grow or rupture/become symptomatic. However, further research in this regard is warranted in order to inform more useful recommendations. Our study has several limitations. Firstly, our study population is very small, not powered to perform any statistical analyses, and in conjunction with the retrospective nature of our study, can be affected by inherent biases. There was significant variability in frequency and interval of serial imaging, as well as in total length of follow-up, which was perhaps too short in certain patients to see any change in their bAVMs. This variability is related to another limitation, which is that the patients were sometimes followed by neurosurgeons and sometimes not followed by neurosurgeons. There were three different neurosurgeons that managed some of the patients in our study, and thus treatment strategies and other management practices varied. Ideally, future studies on the natural history of bAVMs should have larger patient cohorts, be prospective in nature, and have consistent follow-up > 5 years, with consistency in treatment team personnel. Conclusions The natural history of bAVMs in HHT patients is still relatively unknown. Our small retrospective study shows that when followed longitudinally with serial MRIs, bAVMs in HHT patients demonstrate minimal growth, particularly micro-bAVMs show neither growth nor rupture. Declarations Statements and Declarations: The authors have no financial or non-financial interests to declare. Human Ethics and Consent to Participate Declarations: Study approved by our institution’s Internal Review Board (IRB) and per the IRB committee, no consents were necessary for this study. Funding: none Author Contribution BL, KS, and BCM obtained the data. BB and SCH reviewed images. BL wrote the main manuscript and prepared table 1 and prepared figures 1-2. RK and SCH provided guidance and reviewed and edited the manuscript. References Hermann R, Shovlin CL, Kasthuri RS, et al. Hereditary haemorrhagic telangiectasia. Nat Rev Dis Primers . 2025;11(1):1. doi:10.1038/s41572-024-00585-z Kritharis A, Al-Samkari H, Kuter DJ. Hereditary hemorrhagic telangiectasia: diagnosis and management from the hematologist’s perspective. Haematologica . 2018;103(9):1433–1443. doi:10.3324/haematol.2018.193003 Brinjikji W, Iyer VN, Lanzino G, Thielen KR, Wood CP. Natural history of brain capillary vascular malformations in hereditary hemorrhagic telangiectasia patients. J Neurointerv Surg . 2017;9(1):26–28. doi:10.1136/neurintsurg-2015-012252 Brinjikji W, Iyer VN, Wood CP, Lanzino G. Prevalence and characteristics of brain arteriovenous malformations in hereditary hemorrhagic telangiectasia: a systematic review and meta-analysis. J Neurosurg . 2017;127(2):302–310. doi:10.3171/2016.7.JNS16847 Bharatha A, Faughnan ME, Kim H, et al. Brain Arteriovenous Malformation Multiplicity Predicts the Diagnosis of Hereditary Hemorrhagic Telangiectasia. Stroke . 2012;43(1):72–78. doi:10.1161/STROKEAHA.111.629865 Kim H, Nelson J, Krings T, et al. Hemorrhage Rates From Brain Arteriovenous Malformation in Patients With Hereditary Hemorrhagic Telangiectasia. Stroke . 2015;46(5):1362–1364. doi:10.1161/STROKEAHA.114.007367 Yang W, Liu A, Hung AL, et al. Lower Risk of Intracranial Arteriovenous Malformation Hemorrhage in Patients With Hereditary Hemorrhagic Telangiectasia. Neurosurgery . 2016;78(5):684–693. doi:10.1227/NEU.0000000000001103 Mendelow AD, Erfurth A, Grossart K, Macpherson P. Do cerebral arteriovenous malformations increase in size? J Neurol Neurosurg Psychiatry . 1987;50(8):980–987. doi:10.1136/jnnp.50.8.980 Akers AL, Ball KL, Clancy M, et al. Brain Vascular Malformation Consortium: Overview, Progress and Future Directions. J Rare Disord . 2013;1(1):5. Beslow LA, Krings T, Kim H, et al. De Novo Brain Vascular Malformations in Hereditary Hemorrhagic Telangiectasia. Pediatr Neurol . 2024;155:120–125. doi:10.1016/j.pediatrneurol.2024.03.013 Kilian A, Latino GA, White AJ, et al. Comparing Characteristics and Treatment of Brain Vascular Malformations in Children and Adults with HHT. J Clin Med . 2023;12(7):2704. doi:10.3390/jcm12072704 Willemse RB, Mager JJ, Westermann CJ, Overtoom TT, Mauser H, Wolbers JG. Bleeding risk of cerebrovascular malformations in hereditary hemorrhagic telangiectasia. J Neurosurg . 2000;92(5):779–784. doi:10.3171/jns.2000.92.5.0779 Rutledge WC, Ko NU, Lawton MT, Kim H. Hemorrhage Rates and Risk Factors in the Natural History Course of Brain Arteriovenous Malformations. Transl Stroke Res . 2014;5(5):538–542. doi:10.1007/s12975-014-0351-0 Gross BA, Du R. Natural history of cerebral arteriovenous malformations: a meta-analysis. J Neurosurg . 2013;118(2):437–443. doi:10.3171/2012.10.JNS121280 Minakawa T, Tanaka R, Koike T, Takeuchi S, Sasaki O. Angiographic follow-up study of cerebral arteriovenous malformations with reference to their enlargement and regression. Neurosurgery . 1989;24(1):68–74. doi:10.1227/00006123-198901000-00011 Moftakhar P, Hauptman JS, Malkasian D, Martin NA. Cerebral arteriovenous malformations. Part 1: cellular and molecular biology. Published online May 1, 2009. doi:10.3171/2009.2.FOCUS09316 Du R, Hashimoto T, Tihan T, Young WL, Perry V, Lawton MT. Growth and regression of arteriovenous malformations in a patient with hereditary hemorrhagic telangiectasia. Published online March 1, 2007. doi:10.3171/jns.2007.106.3.470 Kilian A, Clancy MS, Olitsky S, Gossage JR, Faughnan ME. Screening for pulmonary and brain vascular malformations is the North American standard of care for patients with hereditary hemorrhagic telangiectasia (HHT): A survey of HHT Centers of Excellence. Vasc Med . 2021;26(1):53–55. doi:10.1177/1358863X20974452 Beslow LA, Kim H, Hetts SW, et al. Brain and lung arteriovenous malformation rescreening practices for children and adults with hereditary hemorrhagic telangiectasia. Orphanet Journal of Rare Diseases . 2024;19(1):421. doi:10.1186/s13023-024-03402-8 Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7454851","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":517298784,"identity":"13bb9e5d-df34-464b-b4fe-238fc6baeaeb","order_by":0,"name":"Boyi Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVRIiWNgGAWjYBACAyA+wFAgIQek2YDYAiwCAowNeLUYSBhDtUhIEKUFRCY2EK3FnL3HEGiLRfqG283PHnyokagzZ+Axe/CDwUZ2wwHsWix7zhiAHJa74c4xc8MZxyQkLBt4zA17GNKMcWkxuJED1XIjh02ahw3osAM8ZtIMDIcTCWlJNwBp+fMPruU/QS0JYC2MbXAtB3Bqsew5VnAgwUDCcOaNNDPJ3j4JyQ2H2cokewySjWfi0GLO3rz5w4eKOnm+G8nPJH58s+E3ON68TeJHhZ1sHw4tDAwcBgwJKALMYAfjUg4C7A/wyY6CUTAKRsEoYGAAAM7hV+WES2n6AAAAAElFTkSuQmCC","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":true,"prefix":"","firstName":"Boyi","middleName":"","lastName":"Li","suffix":""},{"id":517298786,"identity":"e83c2989-838c-45c8-bab1-5d6366209f9e","order_by":1,"name":"Karen Smith","email":"","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":false,"prefix":"","firstName":"Karen","middleName":"","lastName":"Smith","suffix":""},{"id":517298788,"identity":"311d8022-929b-42ec-8717-3a4ead7dd5f5","order_by":2,"name":"Brayan Corona-Macedo","email":"","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":false,"prefix":"","firstName":"Brayan","middleName":"","lastName":"Corona-Macedo","suffix":""},{"id":517298790,"identity":"5ec2c0c8-4875-41a5-b71c-c767c516a5ec","order_by":3,"name":"Bilal Battal","email":"","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":false,"prefix":"","firstName":"Bilal","middleName":"","lastName":"Battal","suffix":""},{"id":517298792,"identity":"e0717a44-0fdf-4054-8672-30a3b2ca2525","order_by":4,"name":"Raj Kasthuri","email":"","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":false,"prefix":"","firstName":"Raj","middleName":"","lastName":"Kasthuri","suffix":""},{"id":517298793,"identity":"d0d6e201-b0ce-49a0-bcf8-98fdc491cbe8","order_by":5,"name":"Sheng-Che Hung","email":"","orcid":"","institution":"University of North Carolina at Chapel Hill","correspondingAuthor":false,"prefix":"","firstName":"Sheng-Che","middleName":"","lastName":"Hung","suffix":""}],"badges":[],"createdAt":"2025-08-25 14:38:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7454851/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7454851/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":92194657,"identity":"9fa1badf-c9a4-4d62-8311-5b49a8b45773","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2144297,"visible":true,"origin":"","legend":"","description":"","filename":"NeuroradiologymanuscriptAVMsinHHT.docx","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/7f32876bc192b3cecedc3a11.docx"},{"id":92196472,"identity":"0fd3c8d2-06c1-4f45-9ada-d74893aefaea","added_by":"auto","created_at":"2025-09-25 15:56:06","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":7386,"visible":true,"origin":"","legend":"","description":"","filename":"0974c20cb9a3440c9605bf51e569bd60.json","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/54748033b415117c4805b46d.json"},{"id":92196473,"identity":"c8489cea-5054-4ce8-afd8-93a616fbc0d0","added_by":"auto","created_at":"2025-09-25 15:56:06","extension":"xml","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":31148,"visible":true,"origin":"","legend":"","description":"","filename":"0974c20cb9a3440c9605bf51e569bd601enriched.xml","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/8e0f30e0e896dddc5c382d5f.xml"},{"id":92194658,"identity":"f85e7147-746a-4be5-926a-55c1f5542695","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"png","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":49606,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/83db31aa2117d430a1b1579d.png"},{"id":92194661,"identity":"b6096838-7bff-4753-84a7-06b54d99c5b9","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"jpeg","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":403772,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage2.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/47d3248312d6f91fa7937188.jpeg"},{"id":92195243,"identity":"5281bd31-bf15-40ac-a23c-180df7cfa6c6","added_by":"auto","created_at":"2025-09-25 15:48:06","extension":"jpeg","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":403810,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage3.jpeg","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/0ef83a5f1c8551baedfa0410.jpeg"},{"id":92194664,"identity":"fc675369-ed49-4e1b-a63a-500774f5db7a","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"png","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":15729,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/2e870029ba2b707cf7634cd3.png"},{"id":92195244,"identity":"e6240efd-580b-4ec7-a160-0a4fde9a3bbf","added_by":"auto","created_at":"2025-09-25 15:48:06","extension":"png","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":138857,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/bed6298351c0cabe1fb73f89.png"},{"id":92194665,"identity":"f5894142-bed0-4149-810d-4a2828e6ca27","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"png","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":142059,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/5d706144ccc108fe95062296.png"},{"id":92194668,"identity":"608db9fe-0a5a-4399-98b9-20c47af410af","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"xml","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":29058,"visible":true,"origin":"","legend":"","description":"","filename":"0974c20cb9a3440c9605bf51e569bd601structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/f0d61d73b33e3679e3711adb.xml"},{"id":92194667,"identity":"52780ee5-7a04-4d29-9855-897215ef3e75","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"html","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":34610,"visible":true,"origin":"","legend":"","description":"","filename":"earlyproof.html","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/a081ba8b0817bc2f568987ad.html"},{"id":92194660,"identity":"7bf86b33-285b-42d0-a310-582c6ed85601","added_by":"auto","created_at":"2025-09-25 15:40:06","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":411552,"visible":true,"origin":"","legend":"\u003cp\u003ePatient 1 – Postcontrast T1-weighted images of brain MRI revealed a left pontine bAVM, with the largest dimension of nidus measuring 0.7 cm on the initial scan (A), and increasing to 1.2 cm on a follow-up surveillance scan 21 months later (B)\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/d39dc8e4b6cf43387c31a751.png"},{"id":92195242,"identity":"48cbf135-0bc1-4c07-b5f3-67761ea7dc98","added_by":"auto","created_at":"2025-09-25 15:48:06","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":406218,"visible":true,"origin":"","legend":"\u003cp\u003ePatient 8 – Postcontrast T1-weighted images of brain MRI revealed a left occipital bAVM, with the largest dimension of nidus measuring 1.9 cm on the initial scan (A), and minimally increasing to 2.0 cm on the last surveillance scan 58 months later (B).\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/e4b8f6f1b88816b4ac3dd989.png"},{"id":92196474,"identity":"5815954f-a588-4705-977e-321f44102142","added_by":"auto","created_at":"2025-09-25 15:56:11","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1361447,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7454851/v1/36b7f028-bbcf-4b24-8474-47be9a7667c4.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Natural History of Brain Arteriovenous Malformations in Hereditary Hemorrhagic Telangiectasia: A Longitudinal Neuroimaging Study","fulltext":[{"header":"Introduction","content":"\u003cp\u003eHereditary hemorrhagic telangiectasia (HHT) is a rare autosomal dominant, multisystem vasculopathy that causes vascular malformations [1] Patients may have arteriovenous malformations (AVMs) of the brain, lungs, liver, gastrointestinal tract, and telangiectasias over the skin and mucous membranes [2–4]. The disease is caused by mutations in the transforming growth factor-β-bone morphogenetic protein signaling pathway (\u003cem\u003eENG\u003c/em\u003e, \u003cem\u003eACVRL1\u003c/em\u003e, or \u003cem\u003eMADH4\u003c/em\u003e) and is diagnosed using the Curacao clinical criteria or by genetic testing for pathogenic variants in the involved genes [5].\u003c/p\u003e\u003cp\u003ePrevious studies have shown that the prevalence of brain AVMs (bAVMs) in the HHT population is about 10%, with HHT patients more commonly having multiple bAVMs and micro bAVMs [3]. The natural history of bAVMs in HHT patients is thought to be different than that of sporadic bAVMs, with a lower intracranial hemorrhage rate of 0.7-1% per year, compared to 2–4% per year for sporadic bAVMs [6,7]. Sporadic bAVMs have also been demonstrated to grow at varying rates [8]. However, the natural history of bAVMs in HHT patients remains poorly understood. There is limited literature regarding growth rates of bAVMs in HHT patients. Here, we present a single-center longitudinal study evaluating the growth of bAVMs over time as assessed by serial magnetic resonance imaging (MRI) of the brain.\u003c/p\u003e"},{"header":"Methods","content":"\u003cp\u003e Our institution’s HHT Center of Excellence cared for 889 patients with a formal diagnosis of HHT from the years 2014 through 2024. Of these 889 patients, 77 patients had suspected bAVMs. Data was collected retrospectively via medical records. We excluded patients that did not have confirmed bAVMs on brain MRI, patients that did not have serial brain MRIs, and patients that had poor-quality MRIs on which it was not possible to accurately measure the dimensions of the bAVM. Twelve patients ultimately met our criteria.\u003c/p\u003e\u003cp\u003eBaseline patient data including demographics, clinical characteristics, and gene mutations were collected. Data regarding the bAVM itself was collected, including location and nidus dimensions, measured specifically on T1 post-contrasted sequences by a neuroradiologist. Rupture of the bAVM and type of treatment undergone, if any, were also noted. Primary outcome was growth of bAVM as measured by largest dimension of nidus on serial MRIs over time in units of millimeters per year. Secondary outcome was hemorrhage from bAVM rupture.\u003c/p\u003e"},{"header":"Results","content":"\u003cp\u003eTwelve patients met our criteria, 3 males and 9 females (Table\u0026nbsp;1). Average age at first MRI was 39.9 years (range 6\u0026ndash;65 years). Only two of our patients were pediatric, being age 6 and age 13 at first MRI. Ten out of twelve patients underwent genetic testing and all ten of them had the ENG mutation \u0026ndash; the other two did not undergo genetic testing. None of our patients had an initial hemorrhage presentation, all their bAVMs were found on HHT workup. Nine out of the twelve patients had more than one AVM, with the highest number of multiple bAVMs identified being 6. Ten out of the twelve patients had micro-bAVMs and 3/10 of these patients had multiple micro-bAVMs. None of the micro-bAVMs showed any growth on serial MRIs. One adult with a micro-bAVM underwent craniotomy for resection.\u003c/p\u003e\n\u003cp\u003eTable\u0026nbsp;1. Baseline demographics and outcome measures.\u003c/p\u003e\n\u003cp\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA7cAAAEYCAYAAACHsQERAAAQAElEQVR4Aey9B3xV15nu/a5z1IU6EkX03o1NtXEB9457iROX2HFJJsncJDNzJ/d+8935bvnduTN3JpNJr44d97hjwAXbYHozGEzvVTQhCfWCvue/xAGBKaqgI23Zi93WXnutZ739XXufUOfO2bUJnbJq45KzauODEmAQ0EBAAwENBDQQ0EBAAwENBDQQ0EBAAwENBDQQhTQQ+sNzL9s1T/zBxj74Oxv/0O+D8hUMAkwCughoIKCBgAYCGghoIKCBgAYCGghoIKCBgAbaOg2EuufmWnJ6d0tI7W6Jad2CEmDQeBoIMAswC2ggoIGABgIaCGggoIGABgIaCGggoIELTAOhqspKO1qtUlNlR4MSYBDQQKvQQMBbgXwJaCCggYAGAhoIaCCggYAGAhoIaKB1aSBkwV+AQIBAgMCFRyDoQYBAgECAQIBAG0Ggto30I+hGgECAQIBAYxEInNvGIhbUDxAIEAgQuCAIBA8NEAgQaKsI4AzW6p+j+kf/+25Gtqbz+t+fa8g/3OfbaUBl2q3lhgbUbWgV35wa9tuG3tQC9XgexeN17Pn+uAXaPl0TtK3H8LjTXQ7OBQi0SwQ8zfNPK43uqNrW/41u3fOjbtT/1lyZFji3jYY/uCFAIEAgQCBAoE0iEHQqQOACIIBR1jk1zvrnJlu/bsnWt2uS9e+erJJkackxlp0RZwN0HBsTapAj5ZxZt8xE65mdaDFhHZxlTFl6bl8981z1ztLESZcwKhPiQzaib4oN6dXJEuJa30zEkU9OCFuvLokGhoP13EE9k61TYtjONvo6I/ik7jf4gDmLj3U2pGcnG9YrxeJiXIPmpsEPCCoGCLQhBOCVOMmfPuKxwT062dDenaxnTp18gRdaoqu+HT0oKzXW+kkGJsaHG9Usci8nI97GDEy37p0TjONGNVCvcqjefrAbIBAgECAQIBAgECDQjhEIhtayCGDQ4RB2yYy3+6/uYX91Vz+75dIuds2YbHvgmh42ZnCGTRqRZU/c2lvGZIL5rIYMwLr7TvRFp5StMKuuqbUR/VLtbx8cYNeMzbH4uLC/J1IzUo/7w3J8xw/JsK9f19N6yBjkXs5HyvF7dBPnIsf1t5z3RSe9k5kYY9eNybFHbuzly6CeKXq+GtD11vr/6FGzFAUBwO2v7uhrN0/sYt/QmL5zZz8b2ifFP5Ye+MI//oxZrcCkzxxyOjIOjk8t/hqVdIH5Cslyvmp0Z3v0pl72zVt62ZDeKYYjTT1VCf4PEGhfCIj2YxTAuUTy6NvisSdu6WPDRPPhEFR/YqjQPyVyhv365Svnj51Q81ZZfdS6SQ597+5+9uC1PaxzWpwdFY8eq3LShvq+3WNna1Svtxzvu67oZs/c0cemTupmGZ1iz3j/sdvOuAmc2zNCE1wIEAgQCBAIEAgQCBDoYAg0arjykcw5Z1v3lpgSI9ZD2dYVmwvtsy8OWV5+hVVWHbXdB8ttzbYjVlJWYwnKFsbKyAzJ+tJt8tD0v6w8TMzwsXOl5dWWkhRrvbIT1CZXMAVVTz3jiHu16w2/Pfnltm7HEauoOWrpMgbJtNIuNmvdXWbU55wew22+sM91nhmiss6qCeuqzMk1l+TY1j2lNmflITtQUGFO/+lyq/0f1vP3C6vqGrN+yn5v3Vtqa7YX26XDM72jHSdgcWSdehASRtr4IMAwOb5jBqf77DJOLteow7ioEykch/SM0LF7GWdiQsimjM62/MJK+3QF46z01cHJ7wT/BAi0IwSg69LyGtueV2q52YmWoezqhl3FViH5xDUvD8QoYhOrO661kHaQJ/AnvKNDO15PvMQ5IMKBjY8N2WXi164K8lVV19pAZYeT4mMke5zuUcNUPFZow2k/TBvaEmySb2sj+qZan27J9tnKfFu+ocjKK4+qL9RUpUb+r6YbeUdQPUAgQCBAIEAgQCBAIEAgQOA4AvlFVZZ/pMo7XZhjLM3D4Dusc6MHpnnHs1eXJHv4+l72XWV3yUo+M7WvjMBk656VYPdM7q4MYm+fhXXO2eY9Jd551a73ajEA+3VLsm/e3Nv++p7+dq/q56TH20XK8makxlmfLsl2/5Rc+9atfeyvlPF8SJnPQTIw77yiu/3o/gH2fWVThipTQ98wJMNh88bot27rY0/d1ttnS+nHJYPSrWcXOdVywFdsKpBjXmbGTVb/r2X3GeORsmo7KEe6tKLGkhLDlpES643borIqGcdmLL0mMw5mt1zaVRnxdPv69T3t3qtybayyUQ9M6WE/uG+AfefOvkZGCoMbzAgkYHR/W9mqp27razeMzzGWPl4+ItP6dk/yS5GXbzhsuw6U+ee07MiC1gIE2g4CVcqs5h0ut2LxWmFxte07XGFkTOGVODmn143Ltr++t7/96IEBdsVFne3aMdleVj0ztY/nrVsmdrHU5BjxXpo9Ljn0nTv62SPiwbuv6mZ3KuP62E297WLJuk27Siw1KcY4/4P7+tsUBcti5MmyQgPHtnNarF/l8ox48uEbetlwBalYeTJ2cLp1SY/zMgeepJ/IhqYgGGrKTcE9AQIBAgECAQIBAgECAQIBAnUIhEPO72AkDu+bJiMv3dKSY70hiaM7uFeK4YyOlDPaNTPBZ1AG9+xkk0Zm2WVytEb2TTXnnE0YlmG8r4vBSb6DYvrDMBzWJ9VGD0gz3rMd1T/VYsPOyNbyPi/LonFaMT5p09Sd8UPS7ZpLsi0uNmw42BzHKAtKNnlA907eIKVdHLupl3ezSepHVU2tdyoPFVWq70qlqiE1pR607v8hjR0MY8MhG90/za6UcV1YXKkM+EH138nYzrSeymSnKTs9+aIsy5YRHK9xYZyPEKa3X9ZV2e4Yw4GfMDTDO6pkaMHygatzfRZqi7Lrk5WtJSNcpqwQmayC4iqNs9pfVxdabpBBSwECbQwB55xfCeJcHUfDczib8nklr1Lttsu6WWZKnPXtmmzXSm4M75dirI4oVsa3WtlYeHL8kAy7+8rulqmAWnlljfH6xaQRWRYfF/KluKzGjxo5snN/mZeBtIXMqpawiceJHtvFrpPjvHVvqaV2irEHr+1pXTLirbi82ghyIXsqJYdcyPm2mvJP4Nw2BbXgngCBAIEAgQCBAIEAgQCBYwjwvisOaZkMwY+WHrDnP9xpHy8/YAcKK2zvoXILy6DMyy9XtqTSZ2VnLtpnOFadEmNsX36F7VGdAbnJltYpzhLjw1YtT1W2oLK35rOLut0qZEyy5aNLyboPx5e2sQGXrjtsKzcXeqNzzbYiW7Qm32eEWVY4f9Uh++20bfb5pkK1V+sLznBudqLt2FdqS9YXWKKM057ZSXaooNJKlNnZub8uw3NseK2+qcHKli1LdumDpfttw84i65QUqzEkGud27CvzS7x75SRZanKc4ZiyZJrlzJlyeMFsydrD9vwHO+3zjQUWEihg1VnZ7e6dj41TGMl3tt7KoO88UOrxzxP2xaUyyPXsVh9k8ICTEAgOzi8CLN3HkQ2FzNjHOUVmDemVbFeO6mzw0ZrtR+zZmTvs/SXwYIkdKqqyOSsPiqcKJSPCxoffEhNiDN6CL4+UVttfZu+1L7ccMfho94FyL68KjlTZvNWHbGteqf8wXGyMU5bYjPd+B/RItoS4sG9zmxxcVmUkJoQlJyvskO5DHlYrMtUclgydX2iDpwUIBAgECAQIBAgECAQItC8E+HhKmjK1cbHOumTEWVFJlS2Ss4WBliGHlcwG2Yuk+JCcsxhlHuOVkQxrP9ZnR8iKlCjrERt2xvLjVDl2ZGFTEsNGGziyiXJ6N+0qto27Srwh2jUr3tLl2GEo9pBjet3YbP/O784DZUYmlo80OVl5/bonKzMZMu53zhnG7f6CChmT5YaTO6x3qh2Vf7f7YJn6VFcvR2Ogz3Ye/vBrGS8fkIlTZicpNmyzVxxUn83IyA5V1vuifmk2XJnrI6VVlpESY52VOSJrm5UWZyXK+GhYxjiThRHjBC+6frCw0vYdLjfeBWSczjnbpYxScnyMESDITI21BN1D3aAECLQxBFq0O/HirdzOCZYQF7IE7cMvE4Zl2jO397WeCviQNe3TNdGSdD1ZcictKcbLjGwFiFKSwhYv2RVW0OiIZNs4ZXBHD0i3hV8e9kG1EgXEYmPN+nRNsizxJnyclRpvyXKEec0gSc6rM1Ogqta27Ckx3vVl5UoPBdgI0OEMd0qMtfTkWEtLifXBQFVv8v+hJt8Z3BggECAQIBAgECAQIBAg0IERwDHj3c5hfVKUbT2qjGOx/9pxTka8kX1Il6FGdmTz7mL/UzeHi6uUgay1iwakybksU/awUlnbCn9foa6RfXQyIEvLq3StyjLlfAEvhuG+wxXKuJgdLKq0mcqsFBypNvlqur/chvXupOfV2rodxcbyZzIqb83Ls/mr8623DM5LBqbpuUd1/1GLiwnbxp0l9uZney0pPsZG9Uu1WcoyL16X7w1f3vdleSKGJs/l+a1ZapSi7pWTaOFwyL7YXGR9uifZ7oMV9tGyA3Jca+T8p9pmZYBw2sngLt9QYMUyptdsLfLblbrnA+EB5sP7pspwrjXWJQtGIxjwyqzdyhiFbMygdFu6rkBBh3zLVTZ3t5zc2JiQXzrJB6tac4xB2wECFxIB5BTBNxzKlRsLfUb16kuybfLozlZRXWvTFuR5mZKgjOq4oRkWFvPAGwSC+nVLtqTEGO+UsmoEh5QVKhVKA2elxVrPnATLyy+3lZuKjGBZWAG6zXuKFWxKsrKKGtutYBvOLdnbisqj9v7i/X5VC68T8Jy/fLrLipQBNldr+ZJtXeRMx8nBps/nxuz0NQLn9vS4BGcDBAIEAgQCBAIEAgQCBM6KAM5lSIYgTtkv3txq//vFjfbnD3fagcOVhnGYd6jCfvvedvvX1zbbix/tsl++vdVYIvzJ5we03W5/mF63BPD/vLTRfjNtm/3q3a32y7e22s/U1n+8scU7q7RPwan748wd9sfp2+312XtkoJbY8x/usp/8ZbO9/PFu+4Xu+6cXN+jeLX5p4edyAv+s6//22ib7/YzttkrOoPxIC8nyqzlaawu+zLfnP1B7uvbqJ7tt14Fy+0hOLn3xY1DWk/GdFYAWuBijDu2UAfzc+zvsn1/eaL8TXht3a2wf7DT68ta8vfbh4n32f1/d5K/95C9b7LNV+d75/YXwnLvqkIHLv+o621VbCjVGJ8ff+UzRPI3zWY3xWbX/5md7lMmtsNkrD9m/qP4LwueAstghzWELDCVoIkCgTSIAH+NA/kVy4/++utl+/tYWe178gMz5X39ebx8rkDRdDu6/SU795t1t9snyg/aKZMK/S7a8NXevvaPyE11bsanQcF75Ovw2BZwG9uxkUy7ONt6R/YPk0q/e2SqZtt3+Vc94Z26eZN5O++eXNtmXW4oMRzYk2XOwsMJelUP7J2TZjO22eF2B7csvt+dm7tR9m7xcQj7R56aCqcc09db2d18wogCBAIEAh8LkUAAAEABJREFUgQCBAIEAgQCBxiLAMjs+iFJSXm0lZTWGcUYbbEvKa5SB1HmuHStlFUd9VoPMBh94KvHna3TuaL26NcaHWWiHUqUMS1FJtRWqsI+jSgYlcm/dttpnM8vVvvxXK1fm5FBhlR0prfGZXdqhYDjW1NTaEfWV9ug/58ms0A7vtJJx5lyrF2e+bzyTZ5OVBTdwAVPOV2rsXAOvUo2Ja5FzYEG/GSf41McsMs5ijZN3nCPjLK+smxPa41mtPsbgAQECFxgB+BleKq2o9u+sHymrNpb5F2tbLVkAH/HF9wLJF/gE3ihRXbZl4pdS8R38xesLm/eU2tY9JbZ+R7EyuqXGvdxDW/BpiWQe9cskh+BheDUyfOecVVbVGm0Viy+RUxSeQ13a8S/uRm5owjZwbpsAWge+JRh6gECAQIBAgECAQIDAKQjIXrOQ/qFoc9LVkJy3kE46506qo0NlF80Xrod8PTteh2NnJ/6ozzkK+1xhG9I/+r/efc636VTBn5elF9KB/teZE//7azrJlsIVtiH9o/85PG9F3fB95tmU+sf0heLP60JIhWNKSP/o/7p7zzJO6oSO3ceg6o6dv4/joAQIdAQEInQf0k79okPPCyFnkiPm9zkX0j/6X+ecz7ySuWW1A69QJMaHjVUTrELhY3cxYefrcU/I2VfasHp/tHm8HDvPcUj/6P9jZ5q+kSho+s3BnQECAQKnIhAcBwgECAQIBAgECAQIBAgECAQItC8EeM921ZYi+8uc3faX2btt6foCn7UNheTNtqGhBs5tG5qMoCutjwAvqPPxD7Yt/TTarG3pRpvRnu/PaTp0pvONeRRtNKb+SXXPcUDblHNUO+Nl7j1TOeNN57hAe+eo0uzLrfkM2qY0u5NBA20OAeY1Us7WOeqcep1zpxERvhrnKf7gHP/QzjmqNPoybVIiN7J/tv4g1yN12fr6uuFsW+rVL5G69c81Zp/7z1Sfa+rO8cv+WCfOtj1e+dhO/brHTp11Q/1TK3COcur5jnLM2AV7RxluMM4AgdMigLw8Ex/U5xH26zeAC8u7s3z8jYJT2xKZ1vrPaIn9wLltCRSDNto8AjAov+tV6xfyO/OMfSbObsJoaN+33YJtNqEbX7mlpcfJA46PlYMWLnVtm2ZJaDYRS92p+yNt1B3xb1O7Sp+aem9D7+NdmPp9bOh9DalH/z0dCBX2G3JPUCe6EDjX/DLv0Bfbr4zsNHzGKd/maW84uQWq+LZPPt2so+NtsqOWIv2R4NbRV/+nWl2dumt1x+oVOzoVMb50RkeSDTpfNz5/6P/RKTVPK/6w0f805H6eWb9h+uOfiMWo4vePVaAuOuvYod9wnXv8QQP+qat/ckXu5/zJZzvGEeNm/BKFHWPAwSgDBE6DgJdVOn+6L4QjdyI8Qj1VO+3/ElcWKaetcIFPBs7tBZ6A4PGtjwAMGhKld06Nt7GD023KxVl2ycB04/cBUXbN6QFtY4Dwe4Tjh2YYv3XYnPZa4l76lBAXspF9U2y0xpnbOcELIT4ekpESayP6pdglg9ItU/t1gqxxT81Oj7OLB6QZP+bNs5qLYeTptJUQH7JxmqNJI7KsU2JIxqYM0UiFc2wZH/hfOjzTRvRJsf7dk43P1g/M7WSXDsu0YTrHp+iZr1ObYgw8/9TzHHfJiLeR/VL9772dqQ71mlowvPltuLGak7iYujE3ta1T76O/zDm/oTl+SIYlxBHYObVWVB53+E7Du4lxYRvcq5ONHZLuabxbVrx4Bmo+AQ/1cjLidD3DUpJjdF08pSrwAffyW4d8/RJaidwFTfbMTrKRfdNEM2F/T+Ra/a2asc5eHqRbp/i6epyrX6ex+/QjXnTK7yhCt8hp+gMvjxAfnsojBIYSE8J22fAsy0qNNeoi8yYNz7RxwmVU/1Tr3SXJhov/4YHhkosXD0yzYdoib+gfWMAn/DwPvM4zG/ORIfpMW6PVLvKCNusXPtbSu0ui5EiaxYZDFh8btpHq18RhmTZmUJoN7tHJ93Hs4DTJ7DSjj2MkB7tnJWg8dTzrXK317ZZkF0umD8hN1nnm8fRo059QyNlFkvW+DaONWs1lyEZoTscLlzRPC6e/v37f28M+o2SOk+PDNqx3ivXMTjTn6jBpD+MLxhAg0FAE4IP0lBibfFFnyZ50yYSwBEnd3fBJanKct49zZPd0lmxHFkVsvbpa0fGvTP7o6GjQywCBpiCAkufHpK8a3dn+7qGBdv3YLtavWye7d0quPXJTT0tJjDGcIr70VlV91H/hEubHsMEg4RxbmJ62qmqOGuci1+NinDdWEAS3X9ZNhkOKf+m+qrpW9eoK7TWl7029h34myOgdMzjDvndXP3vmjr7GfvXRWkvWeG8Y18WuuaSzxceFjK/SYRwyRgr7kbFVCQ8K56s0nsqqoxYTdnbH5d3sgWt6GL9bVllV4/EDH8ZZdewe2tDjPJ7cT6k/nrq6dfhQl8K5G8d38e3fNCHHBvVMkQGiuxiQNuf6n2f0yknU/d3thvE59sQtve0/3TvA7tNc33lFNzn1qfXm5qj/Oid95LkxMgQThAfPoC9VNbUem06JYT/WeyfnytmWY6CQP92hUI9nMma2nGNLAUe2FPapS5vUpXC+SpiCf056vD16Yy+7XbiGw2aVwpD69IV7q3RM8X09ah7vKt0bqUM9CsdV1FXfuY9jgi63XdbVKDdO6GI9spPM3HFdZsFf9CIAPcTGOjk7aaL1PnbLpV0VgInxdF1HX0cNmqMewZM7ruhufeRghUXryC1onqDPpBGZliSjvwrZpsJXZHEO/9O9/TxNdpLMwEEGKfi8fttiB+udk2Q3TexiPAMeQJ5Sh8KzoUNPl6JZeI12IoVj6nGd+6iLXLppQle7VeO5UXKAIFUfOad/fW9/u35sjpdBldU1Bo3zPJy4IT072Tdv7m1XSs4TwMI5vfnSLvb07X0NBxK5NUbBxzslBy7qn2YPXdfTvn93f7tcYzf9pSXF2n2Tu9t37uhnV4zKkvMZMvqmS+f8H2yoS9++eVNvj0PVMT6kf3zROFly5PpxOfbA1bnWU3PgZHkN7JHs+f5r1/T0AYKUpBi7eWJX//wJ6ut3JbsfvqGX5XaO15wetaG9U+2p2/vY19X3npJztM18sAW3CI5VwrlGJxMVKJxycY4CmWkWkSsJcqqR/XeIFtKTY72M414K94MpY6mSDPHtMIHnRKDlKvBs+lEl/NjSL1/Un2rGpf6cqFPr9YtOeZlYLdo9UequVXOfzjP/0P1lIzPtydv6+sBCjSamUm0KqpYbQNBSgEAbRgAZmy17496rcr3MvnpMtuXIgcUOgVfiwiHJ3S721G19ZH8l2/2yne6T7ZPWKdaQDVXilyrxZo2YDr5hWy3+OlFO8B3X6kPBcbX4kXboB/ucoyBDOUbucL3+fU3dl4ht6q3BfQECbR8BlH9fRbtvn9TNeskgmL4wz175ZJfNWLTPf4ZcwVs5aTHeIOmvDF+qDIxUGToDlPXr1z3J+A0vH4kXJ/ObhWQAMLYwDNIU+cZguVYCAkdv4+5i219Q6UHpmhkvY6STEWFPSYz1587XP4wpv6jSFq09bBh6w/uk2kPX9jAymnn55bbrQJlt31cqIzHkMWEsPbITrZuyBBhY3TITvGAbqvsG9ugk4yrBMMTInMTHhqywpMqyUuNtkK4N7pXiDTOEU2J8WJmFZOsn7FKFY6Ic7EEyOon85ap9059g9FkgrvUTvoN1PTM1zpxz1lWRwsmKJpaUV9v7iw8Yv6GmW/w1tmcrtMtYKyqP2pwVB43fcuPT9Yxp9dYi/5uG/I4abXTV+Og3BiJGfoIMvstk5N4pwxcc0mT09RPNUGIk7I+UVhtZHQwk7qeAQ99uycb4wIj7eH53ZcmZe5QBxj60k6r2oL0hvZJtaJ8Ujw/1hvbu5PEn6FBcXmO9ZMAPEZ7QTKpoq0pKI1X3Qm+9uyZZgrBP6xRjQ5V5GKZ2cqSkGDc0Ll1jKdCtaJj6nYQ/16DjsQpybN5dYtMX7LN9hyvMaQAUbYL/oxiBkHimqLTG9h+utM5p8dpW+NJPdAmvDlJGt4foMVFBmyoZJet2FFuZ+IMs722TunpezTtcbjv2lxqBq8yUOIN24ItK1TsoGZKVGutlCDBBZzjEdfIhRYGSRCNwWCljZ/OeErVdYzwX+qQNCjIBR5Pzfbom+iwB7dAeRgw0jUwd3DPFstKQA2bdlX2eghwokxxYtN9oGx48fKTSesqRHqJxDRCdI3MxjAhK4Qz2ltN4mbK1qeKDtTuO2LL1hZYjXodX9x4qN7J22/eV2ecbC/wXPft372STL84W38QIiyS7XkE/gpR5+RV2QHI8JtRQ88h5nsqTbE1KiDHkARjA4ziV1XKiCCqwsmeYHNSh4vuKihqbveKQl6U5yqoXHKkyZDZylA+0IKORU+OGZBi8ju65SphcPCDdJJJs465ib2w65xRcdX4uIrj0lexirHGxYdtzqMz2Hiz3MrdbZqJ1FbZxMSFLl3zJFN69JHOYH57VS/oxRXKDQAf9HSzZDF3pEUxXqxfmEnrprXkEQ2QnfctWP8FgqOQe+4nSK8hWxpuVGieaChn9z+2caNBSL9EIch/52ENj4vykkVl2z5XdfVSPaUWeDhbN9ZReAo9WH1zwgACBNoBAWMmJ4eKjy0Zk2dptR2zOykMKiIZtiM51Fp8RFDtQUGHYHQmSH/xEWJocW2RhjBI5vcSbg8Q31MXeYYvt01tyBL5D5sG3vVQvR/YcQ8YOQdZTF36jbezBXOmmDLUNr7OScoCCfQQxI7YL9zanhJpzc3BvgEBbRwDFPFjGEAbTF5sLbdOeUkXBa22DjIP3F+9XxiLGrhubrSh+P/tvjw62r8kJvEERdrIE35naz757Zz975MaeMqoS7TI5QD+8b4D954cG2cM6R3bwbkW1iLZfp4zCFVKgMDQO8YPX5CpC3Md+eH9/Gz80XcZFxKRrfcQYc5UiZPkyBtfJyJu36pB3XIn6j+qXZoeLq7xRhcL//j0DbMKwDLtdxu637+ijvmbY/Vfn2t88MFDRu972I22/o2wGmcW/fXCgcQ+GZoIM5vtU7+++NtAeU9YRo/iaS3LsR/cPsL9Xhpw2LlcG5D8p2/KPjw31EUDnnBF1594pF3e2Z4TvI7qXzCoOHRkWshoIv/0yuuuMvYbhpaYtFHK2bmexzVyyz7bI2C48Um0I1b0yOt9buM/mflGHw6PK2JPlefyW3jZJQn6IHMo7lcm4fVJ3HWfaHXJy77+6h8/04xjyO3BVMuDdsa4wkxiQf3VnXz/e72j7vbv7GcsepyqIAlYX9Uu1h2/o6QsG9xO39rG/fWCQzySBKceP3dTLvqv7BsuIPFRYadlyULj3Pwu/qcrioiTYMhc//vogH2nFAP+7rw2yf3xsiF2v7DQGIWNMTQrb3Vd28+0zH2RquX/M4HTLzU7wCmzr3hIFdBrMy2sAABAASURBVKqOjSLYRDsC0HyN6LJUwSBoIF8OUm85kN+RzIIev317P/u2X7WRbpPFb2MGpRu0zsqLqaL1axSUmzI62zukvbskG9lMsoLPTO1rveUg5cnJq6kx4zmmvxo5aTgej4puoX2i+xgoE+VQYpwQHLxLDgQ8Dc0iby4emGr3KEuA3PxvkgPXXpJtOBM1isbEyEtDnnxLWYLHbu7leWWwDKeRklG5OQnWTY7pgcIK7/SVVVRb3qEKwwH75s197L88PMhuVWYWRyxDTjmOT754qHtWoncGyyuO2pJ1BbZJAcf+uUk2TA5lijLQa7YVyZkvs/ziStupAB/juVJyqo/GW151lES0lVfWKON99Pi4rYF/+UVV/r6rNcYfPjDAy1DwZpwDe6QY/Mg8IYNx5HFgFysA6SS3xilTi4PG7+Oukp5Cxu6R3KpSUAIZNEE6hLFWab4V87JSOcfIITqcLSPyG9f39HL3mal97K/v6W+XSleNG5JuVymT3V1OX18FHJ+8rbc9dG1PI+hRruAFMvcZZbavUX/JViOrkcvIq78SDT2ttm6f1NViNU/I7QbC0KRqGMCxcrqvFp1+U3L5r0S30Nc3lKW+U7L5x18fbP/vo0PsDu1PUUDicclTZCWZ8EsGptldkn1gzvigeWgUDB5R5vuuq7pLNnZXne7eaIc2eAXkW2rj+/f0E0908k6vBX8BAu0YAXgsRcErXr3A0UyX3OwuB/O+KT3sm8hfyZD+CowWFFdbRVWNbFazw9IpZHXDYfO24ZPIasl/VpSwAoaVdt+7u789eE0Pb+8+Id4l2fOkeOuy4Vm+DWQWbYwZmGHflm65dHiG3TA+21iZcq1s72/d2tt+KDvzabX9I8lNbJdU9RMd0ZzpCDXn5uDeAIG2jgAOSWpirAwVp4wlEexaGynHAwcA5+KBa3INBi1WlmBrXqkNVWSdaG/Ksej/x8sPWi9Fpa6V88oSDQyVrXtLrZ+EgOwz47e+NsuR2qZCJiE7Pc6mylHMVGbzZ29s8ZGxMhla5xsnxh2W0VRcVmPTlK1+c+4eQ6AhSC4ZkKZsTMhH7hBwcbEhW6Mo3qDcFEvvFOcz2WR4fvfudsM5ztKYpi3IswJlbK+6KMu3Q0Tvrc/2Kvtw0EarPW9EyMAorzpqOw+Uy2BIEW4JyorEKgNbovaLJOhqVcxnSTCwt8nZev6DHT67PUVGzXYZmwdloJJlxCE1cxYxrK2Bf9WaFIQi93njz5npf0PAyjb3c42B/MKHOwyHEsc6Oz3WisuqbLvmv0xGYzdl3ZnjtOQ4v8w8TpkCNYsdafyRXQmFzHKUOQWHWcsPaJwxxvt2e5Ql6SKjvKCk2r7cesTIbifLqAbXAxrbn2busBJlaWPCZr+Ztt0vDR+n7Ay0Q8SUjPMWZVlxAh6/qbdNlnGap2xrsehzvAzg3M7xmjtnPlCzq8QYJ33CAL5HRtyitfn2yYoDdrUMwHEybsF0v+5ft/OI5SvY4RxocEdQ2gsCIfG5n1ZZL7HhkBFphw75mYbOCpggq5BTWZJJOG4FCm6R0Vu27rDVyFNipcLI/imSaUlyBkuMIMtAZTVxxMSxFiH8GgXMkIW5Mojg00xF3UPig/yiCr9knwzprgNltkN8TOYMfiISjwO7RTKzRE74CMnepPiQjKejPugyVcGgPDlxL83a5eXyzRO7WIEcz3wZVWu2H7HdkiX0A0KPk/OzY3+ZMa4DylbfP7mH5EwnG6zgUK0mc7PkSaLaxoiC53YqI710bYH16ZrsX0M5pH5uEm/hRJGZfmveXt3lDL5h1cgHCorBHTwnMmZVaPD/mgbhWWuzVx60afPzbGBusrFUuZ8cZxzJHfvL7aD6wLu+ONPIkaVywA8qS3ydjLwpF2cZq0yOiNeTlQHeuL3YFq/LN+TrAwq2rd1eZARl6b9z9FRTozlnDwffOWcff37QioUzgYwjmmdkYRfJs7uu6CbdluJ/vmP5hgILK4OzTXNSqfknIMs53sfuJyd4iLI4LKPOU7Y7Q3Mcq7pNwaPBwKlitfrRp2uSXasAaZ6CGKu2FtnE4Zk2oEcnI8PM+8xL1h8W3dQYy813icZ+9e5W6ZJk/8oNK1J6ZidZkeR4YnzYoL9Sydki6axluq+kvEpZ7HJPT2CyakuhvSKaQ/8N75fi8YCGrGl/wV0BAm0eAYkHKxVPYBMgvw9LzhLU2i/74NkZO3yQ8xYFDFM7xVjE3kH+V0vud1PQ8D4lcrCPXv1kt/UVr16v4DpBuNTkWMO2CcmmwXZGVmMrblJgkW8IXH1JZ7tkUJr4r8xilRRJlj20eM1hIxCJbV4oWV+m4OXcVfmyw6rt5vFdfQCO1UTNAVWqqTm3B/cGCLRtBKT75dSW+mV3g5UVwLDCAEOR98pJsjI5M7wsXyBDAGft1U92Gb/hRbZukwyh9XIKMOrSxcAskYKZP/n8gL366W7bqCwhTtNhOQ04Y7wTFCPjEqcnSQr2iBzLz77It+37SvwyuPOJFIqascfIMEGgTZu/z16TUGIMGJt8XIu+H62te49WdqM5SYNSGUZ5MmowhllmXaCxYSAckAFGZgLDL07OcI2MkS3Kgn+xpUiZjqOGcZUig+ywshczF+2z1+fssc83FvpM4YIv82XwHfLDxxBLkLOIAYKxu0fPqlAWIUUCD4OW+SiRACazYFT2dzX8H25xutE5ZyFZm86MI+PP6ThFEUGcXJZyHlRWKDFeg1YNnlmise+U8YzgH9wz2Uf5E+NjLEZtgSWY+nb0z15ltQ4VVdr+ggofJChVnxlXNY3rOriLFMx0b77qURcsyShDW4fk6PKc4tIav9w4VvPE8s71O4q9g6EbLScjwV+DXl/R3BFgWC+a45kfLNlvZH1Cap8CDcfFhn2wZZ/6Zho4SuewVxw1Bt2ipFTdgr/2hYCm2g8oJFKGn3DicDCRY9AUdAutMfdlolPojwzhdtF6kWRUjYyX/aIZnMxhcmwyUuMsMUGWSm1dy9zvHyCigj8JtOCI4HQkSc4hO2mbIB/LZXHkkJs4asiZWNH2zn1lhgH18fIDclBq1ZL591pxougTznipgoBE7OElZMIROXnlZBD0cHoSUjtcw+nFccZQwpEf2CPZlm8o9IHEvXKU++UmGSsreC0BJylPYxuhbDBbnGOW0+HcgQ+BNAIAxcKFAB88C+/W6plN+l83sgx4xaYiKy6tNmQCfSF49YZkIkGpBAnbUX3TFBCLlcFX7vVNqoKpwxRYZTk1si9BuDL+ZXJEWYWDLFi/s8QvO48JgYYepA4653x2JU/jLvIBtSJD3hBoIOvNPDOezmlxFtJ9hapzQLJct1q1LNijmvuw2qCO06wg56hTqYzxMPUxPSXWkiUzTdesFf+cc14X8xuaZLgJxGwXzRD8/GJToR8jrxStFK6J0h9l0tsEPioUTE2UwYyuQR/zsS2w7qLAI0HrPQfLbKOCgNDNEcnaMhnRBBWg/fW7imUX1PrXc1pxaEHTHoHgn7aAQJXsNuQ1jiMF+V1WWW27xSel4ilsBuQ1cgA+IajFNi7WyR6KMeQyr3hQl8AXwTZsmglDMyxNyQDsuIlDM43AGfLvagWrbr2sm7K+mT6Qjw0SlhwKh0Mmljf497Bs72LpobmrDtmiNfnmQubtHomnZkGmZpp1f3BzgECbR2C1spI4AhhBLL1jqRbZiUJFdb/YXGS7xNhE04lisUyD940yUuL88jaWlWXK2GOQq7cVWd/uScZy297K5mKEwORkglmWl6aIV5eMODknxdY1K8GentrXiIT1yE40c3be/sh08BEYlqTyfsQECRvJEntTmdbXZ+8xxs1HW3DmcMgvG55pfJWUewYpC9KrS6JlaczjlFHsmlm3P6R3J+usc+nK7IYlfTCGrmE528gsb3BhtG7NK/GY8W4v71YM7ZViONO9uyRL8MVITtaac84wxDAkeedtqgQfmYj1ctp6C1PmBeO0s4wTn+a1xv3V6ik4rAjbIXJQMS5HDUg12quW47lShhIC9sYJXWyEjDcMH4RzkYw+3vlgyQ7LbbL1fJwAljQydr5Ci+FPbxD83TW/nZUVy1UWi3bSZQQyZgIGGFssbQc/smJDenWy7LRYI0NS95XqOOvROcmGy5HIFJ2lKnBSLUmeJEebpe7D+qTYGmVpPly631BEZGGgry7pCcby784yVMmwxCnIwHjp00YFYjYoEHPxoHQjC14gpxZHGUy7KpM8SPPK/NJ36gcl+hEgAwXdDdTcxsvgJ3jHEtus1HhjiTC0TDAHZxMaZL+b6JZVGbwPy7Jk6Di3c6J/Dxy+hV+RHyP6piprlmwE6nrlHJNfIp4EORLQOHRZayaDJ9agyYyUGP9l4pvGdzFoLVYCB+ciRkZRUWmVTRyRqQxbmoJgsZIBZuGQM5ysVZK/9IWlaHFhZ19KViNjMsRP8EG2+FAiQ/c4Q1ZliY/gLRzGxTKEektWjVI2+ICCTJ+Lt6F72rtJ/N1TwcstyuauVQZ4lxx5nB8NwUb0SbXBwmzCsEw5loUG7+w+WG4j1Q44juiXYr3ULuPUEBv8fygcsqOSPxcPTLPrlYlFN+zNLzPkK9iv3loo3VDqnUp0CO/QMjYyizikq7YUSpZWWpeMeBvRN8WYP3Ck34vXHfYylPnrnB5nvMIRFobQQGZqrDGP6KlR/dOss+QS+gf5w/v/zCmOfFj4fv3anjZecp1nZCgrWyKnflifFCNjjnxCVqQlx1ixAguFyuzwDEqDQWhiRQxoMEqUDGRuMzXPnykDzrzlSn9CD8M1b8UKQK6RHibzffdV3RU8CBnvkmNwf6TASVJ82LbnlfnVA5miSWiiWIYz8p12ebWIcQ5SRpivVaOzydojSzV1Tex9cFuAQAsg0MpNIPsSxR+9ZWdlyYZAtpOggL/uvKKbJcbFSD4VGzYY/Daqf6oNlxzCfs2SnbJkbYFkS5zdMrGL/zApttT2vFJbuv6w0R523QbZceZqfWKDFWcE5X/77jabsWi/waP89BC22Q3jsg3dxSsVMn0sU+3fMrGrDZHNiMO884CyvDGuWYiEmnV3cHOAQBtHAOPhoCLVL8/aZX/+YKeP1KIAP/vikL09b6+t3Fxor3y8yxZ+ediOivsxuLZLORIlJgtSLCVPJnLhmsP24ke7jIwZ0XCMKa7zLudKGWh5yg68PnuvrZFxNn2hMpdyIg/J4CKLRnvyq84rUmQnMM7ImpYqWh0vR+iIMgnTlVV97v0dMuqK/MeF3p6719YrI8CSvjeUWeAjThhCZKfjdA+Zj4+WHjDGvFDG5PtL9tlSZRPeXZBnR8qqjGwrWdrpi/Ls+Q922ZwvDiqTW+PbJlv03sI8/0EYbyDJGg5J4oAVQo+2OQZT+smXl2eonTVbj1hErGlKGocbz9Ckx8eFbOHaw/aS5pZlN/ESlEpS+/6xTJu5JrP0mjLwm/eW2iefH7RPVxy0rdp/X1lRIog2s8hjAAAQAElEQVQvfbTTzzdCnD5WVNb4DLya98sPPxAW9LtUEU+ukz3CoZwujFkmB47TNf7dyk7PXnnI5q0+ZNw7R/soBPrw6YoDRsRy/up8H3xgWTfG2uuiH/rxouiWfhJl3Xmg1Jif9xfvNzLBOAMRnFAqv5223cg8Fypow/04yMzBzMX7bM+BcosRBiYLrtGYNm4GgtrnEYGYcMjIer4sOscx5NEEmnDownJ+ZkgWIZM27ym11z7dZcgsaPbjzw+Ihs3mES2X47RGDsNrs3fbAsm518QTLG+Hfj9att+g75AIl2exvHjlliJbvrFQ/L7DNir7tW1fqb23YJ8VKUDEawx/+XSPZMoR76iyGgZe37S72I7WmAycCv+KQGxMSLKj0l5XwA0ZjIGDLPpUfAhtT/f9Lha/ODnCIf8FcWT2B+JNov1L1Oc/f7jLtim7N1+yu0COGA7SAu2/pueTuUbOkz2YpTEg83aKBxLiwtIBR8Xrh7StsWUaB9jBV/AK2eV124t9VrmhfCJofD8PFlbYu/PzDIzKJBNenLXT47t2R7EtFK7JCTEaf7nn81nLDli1sihgumlPib0gPkemwudkHsF1geQtzvo78/cacpQA2DzJiXekt+hbKFTH/bXKsBO8fU+YgQ37fF+AeftIzyGriSxB/zH/GI/gyD4yb8n6AmPsb8/NM+ad7ChybP6X+faW9MN+6THGaK34JygsWwZ3Vmq8fy0mQ8buxYPSbJScdYxi+oYjnl9UZcg2ZCKGOuNAfpZJNi8VTbzw4U579ZPdxjL310THyMNyXQMHXh85qPvBfpOCgcA3Q/IZOmdodWiyF5QAgfaJQIyIfrccR+QUdgay5ItNRV7GwgvYfduUpEAW71I97CH0CftvfLbHFkgmwKvvy8aZITuE1SUrFFR8UbL4Vemglz/ZJf7c7b9rgCzj1TPkzd5DZQrcVRi2CLpp78EKL1vWKyBfVVNryDIcahJN8PcOyfW4mNBXJqExJ5p3d2OeFNQNELhACKCYI1Gkf//LZvuNIkm/fmerwbQsV8Ip+ZWO/+3VzUa2DOfnd+9tN5gVx/b307fLGDpgm2TI/ertrfYfb2xWJGqfce9cOSq09dwHO+yXuvbOvDzbtLvUXhGT/9trmwyDkaVy9OF8DR9BgVOOgPr5W1skbPZ4ZxOHr1hR7JkSSjhT5ZVH/Th+9uZm++20bb7/OPovyqn7s4wEsHhLDu8fZ2w3jINXPt5tz87c4Q0gjI1nZ+y0Z3VtkQy3yqpaGbwF9rM3ttjP39oqHA8YgvN3crhek7GBIeXcCfNh464Se1HGH9jOkKDML6q0uasP2a/f3WYv6PkIU+ecjMbGoeac8++0zlp+0H7+5lb77Tvb7OVZu71gjVXmorT8qH245ID9UXP6Jzn5a2TISt7bF1sKNa9bbKYc1tc1Zub/L7P32B9Ujz7+QnOLcURvwBfjir4+9/5Omy4D6bmZO+35D3cYS+m47xdvb7HfTd/mcYWOntezXjwWHHlFSgB6mSdDFZxfn73byMxw/Vk9D6N9gwIOGop3uv/99c0eF+bsL+oTcwVmxcq6OHcCI5Yw0u4fpu+wz+S0MCfvazy/UN8J5BSX1gjPE/UZS1CiFwGc10OFlcf4bJv97r1txvzDk/DwR8v2GzTOe97QH/xAEGfVliL7veTbn2Zutz+If3F65q7KFy/v0Hnxi+iT67SDrFy2vsCDFCP+wdh5WY7Yc5ID70rW7VVQ7x05Rb95Z5vnW56PHPyFeO958cZGycyPlu63/xAN/0znlm8skFNXKzo0GVTOtivyj3z43bRt9qYcKZbSLlJQ6jc6/qN4YYeui8SNd2R55/IF8RDn2bLi4qOlBzyPzV5xyMu41+TQ/Fr0/qJkCG3DqytkvOHM4+zhAPNe6s8lF1+QQbZZTs5nkuFscXLBEJ7fKPmEvPQDb8A/9JEgGl8kf1bYgN9MZSvWbi8xltbSHxwqxk/76IwPhUuZAo8EDjE2NyjrQTsEKwgU/sfrWxRsyJdBeVhB02Lj/Vw/J+9sMwKRZNiRaTv2l9pzki88c7qCjjh3PAN5Ao44qMhfsPmp5uE/JKN/IRn9heiA/vwSWSW82b4iGT9r+X5PFy8Ja2ROTXXdfDUAhmZViYsN+y9uL16bb+gUVhSwagacfqU+viOnniAGwYNX1U9oZpqCKugOeAHn923RJMY0svBdXSOgyTUM8J+/ucX+BM2LrpiTWcsPeH0G3aHLzTWr+8HNAQJtGgFkS7GSNQTB4AX46UsFNV+fs9vLUL5BsHN/uWy9g4Z8eF7JIOQ8+7MlIwnY4+AiI1+XjXRAQS+SJgTgkDnrJb/WKDGB7UXgnuchf+E/Ss1RM3juZ+JDbKNfSga/L1sUH5bVPa/ITvyDbBd4tSWA7KDObUtAF7QRTQjAXETE45SNjAmH/LIKovgwIOfYjxQiwizhTFKknXef2Oca2Qa2kcK9GEBcJypft6wq7D/4Q9YgKTHG2Ibxns4zWCF1jnHwDgRbhExtrSnzaN6ojChyrjHOxPgYY1zsUxgPx4kJ4WNYhRRRD/sPx8RJGiUoM8r7cnwcAAz0OJ/tSFBmJFElQddpG2zA/VQMyCwnqF58bFjPDfnIHfvU59mn1rdG/NGXBM0z88Fn5Xm+H7/a8NfUt3g9Oyk+bHE+m2nahsxjdex8pB9sKVyjv3bsD1rgPO+6Mk6PhegFB4B2E+NjrK6EhVuMx5Bx0Qb9YT9efWSbpPvihGldO6orzMHH9JegviYIoyT1lfpseW6C+slYVOX4/1znPO2wz3WO6TvnOD5eOdhpFwiEpMGZW2iCAj3Bk2yZe39Ocohz8EOC6Alai5z3W9FbvM5zT91xjOdz7uEY+QhYEh8GfSeI9jjHc2NCTnQeNviM+yk8xx8nhiULQ+LvsMVBwzrm2Vbvz7cn2kbO0h58D+1Cs/AUS2l9dVfHo9A//eI5MTG0HfJ9pf/cC2/xbHgqcm+seDxez1dXfVMJGivtU5fncy9b2mS8tM8x8tLf0MB/eD5tIRNog/HwbNql0Cbj5xn0MUE4OudM//t3zGLCIf+ksDpKG+AYLxlBQU7FaT9yL21TOTInPK+T8AVHxkU9nunHKXxjfJsxHivaTtSc0xcK9RIlg+gP7fqt+oaM49nmeFLrFuj4UFGFnPgjhnOP4UymfrECHaYOpCTHejoLCSxwjNeY4mNP6A7Tny55HcR1+h4bDpluNf4YJ3gyVrBii1xlC01xL/WCEiDQnhFwznk+ghfgdfgEfkducByjAGYC8jEpxuANeIW6nAuHnJflkbocIyNDOo9sigmHvLynTWdf/dOj/f20i7xJjI8xAlgJkjXFpdU2vE+Knhm2uBjxrTX/r2VaaX4/ghbaGgLttD8wGOV0wzvT+fp1G1InUv90DB65dqG39fvGvi/808yONRafxtRvZtdOur0FhnpSe6ce0D7l1PNNOW4MRi31zKb0M7in4yDQGJoEFeiSwv7pytmuna5+cK55CJyKN8enzumpx8174tnvxiBes+2I/UWZ9y+1ZTnxzMX7/Lt7vF5D/+q3wPG5+neu6/XbC/YDBDoyAvBTQ8d/urr1ee10109tmzrcw3dNeLWAlSesyIicP7V+U44D57YpqAX3BAiYWQBCgECAQIBAgECAQIBA8xDAqK2uqfXv6rEsceWmQuM96KrztCS6eb0P7g4QCBBoCgKFytjyhXi+u7B1b4nx7YWmtHO6e77i3LLMJVJOd0NDz9FGQ+vWr8d9lMg59kl9M2j2I+dbc3u+ntOaY2jptpkDSnPbvVDYnum5ZzrflHG2ZFtNef7p7jlbn069xnGkRNri+HT79c/VrxM5f2x7wTZn6tOp5zmmnK6jnKec7lpHOcf4feGfjjLodj7OtjaV9IfSzmFv8vDAhtLkBqLoxnDI+aXvLClnn+xOc7rPhxxbwm5pTh+aei9zTmnq/dF83+nGfbpz0TzGoO/m3xqAz1nSzNZa8M87txBNSHvxsSGLj6l7j4X35hAsOJWNfR73sW46xE5Db3bm12snqA+UujXczr+Lwrs3qUlho398+p4PKVgr/SEIwaBRfT9DX+hrSONiHfsZqjT5NHPGUp6QHtBaeIAFY4jRM3ifJyk+7PvLeb/TiH8Eg19LnxgXqnvnsxH3NrdqbNh52mEckb5HttApdOUZC1Cb+DBIHbpl28QmWvQ2PpxSa7Wef0Kh0zedEBs+PheMPzEu7HFKEA/Cf+CSoDrsg1NcOGSRP6ACw9gIttpyLnL9Qmx5fki0GukvkhMc6AvX6L4fh8bHu3DwT4L2GbduM37vkzGFdUAbfvzChDZpo3VK22zV46A5BRswSkoIST7DxdZifzwD2UhpsUaDho4jAP1Cy5ETyCbon/lsDk3zsRDmjPbgq0j759pCPfBchCepj36JO0Zn0ANtcz6aC+NjnODTmHE458RjoePZC4+HDLDInNU5ao1BvDFPbzt1oQHkMzTa1NHWtRGyLpnxhv3Y1HYiqGhqDJ3AnFAi51t6y3NiwyFPB/Ap8tc5Z/BJc8dgUfIH7yQcsxOlik3D9wGPJJ3jWpQMo013E/6ggzGSvWxbskCnBKdiRceR57Rk+w1tK0RFmDU1Kcb4DTB+l5PfkbtxfI7xO5b8HhqdpV79Ipnrv3p4audpi8+4Xzcm2wb2SDYUGnXr38s+zMoyFOpTYkIhG6T6/P4kv1E3aXimXT4y026f1M1untDFrh2TY7de2tX4Dbn4uHBTfgLTzvVHP3DgrhydZfyOGvVPN3bOn6swPj7cwG/p9e6a1OT+0qfTPQuHdkjPFOM3oxLiw1Zzpoqnu7kB52guRoQ/uFcnu25cjjEnt03q4uckRbTC9VOb4dzp8IJG+LgSvyN74/guhsI5Xb0z3X/qcxp7zG/TXj82x48jOz1OLp8ZApPfvaM/V4zMss5pcQamdsoffYJOT0fDVMUhqq45avxmGLTKb0rSNvdxvX7h3OnGXb9OS+yDN4btpcMy7bqx2ZaaFHsS/TGWuJiQXatr/I5ZSBqE3/7jt8f4vcmrRne2/t2SbHjfVLvl0hybNCLTJl/c2dNAD37zkk5qIF2z4g1Zcc0lnY3fSjsdflQ9X4XnE4SZMDTdbp6Y438rEhrG2ExJDNuVGtdNE3Js9IA0XUuVXMmxG0SP14/LtsmXZGsMCf6DW/zW8ZSLsw0sLhueYYnxIeGnAVvH+UN+pXeKscmShbdP6mrwCR9/8DTcTCigzyrxDM9gLpALfPiG+TstwsHJRiEAvacmx4h+uxkf6QiLv6trai1RevNyybqrReudU2MN/BvTsNflEh7dMhO8rYB+Q/41pA3mFoPnUun1njlJPpAEb6Ynx9rogelexvTITvB9hMYa0mZbrANt99L4JmqcjK+hGFMPPC+VvOkqh4z5Qoanp8Ta+CEZXs/nCp/Y2NaxfdoKltAJNuck0Sk0DC5N6Rv4DZHt8thNT1in/wAAEABJREFUvaxPF+yvpgkt7qJPMeGQYSf066626BAX2LZgoUn08tA+naRrc6SbcgzdNEUyGNnrzHnb5XSPhGfg+1OvgR/l1PP1j3lu/eMLue+cs0sGpdkdl3ezKdLXk6WHJ2t7tbZTL+9u/bonm3PCoZGdZg6hCXBqyvhOdx/naBOeb0qbF+oesAhLJ4yUfUcJgWcTOsP4T3cbOqFrRoLsrSzj92vPRX+na6MlztU5t2qJqOAAEc6jN/aWA5Nlg3p2sqdu72t3icgwGPn9tLKKGiuvOGq8B4HgzkqNs9hwSMdH/Sfc+dR+VfVRS4wN2bA+KdZbQoWB8fuV/A5Z5DoEgSDHeBKu3nA8WnvUUqXopl7eVYzdxTC2xw/NsIeu6+l/64x6owek2g/uG2jXyHGO1TMaSd92tj8m6qj+Gdwr2e65Mtcw2DH6ERicPz7+yho/XgikUmP1mFQePclQUDPCxckgzLHbL+vq96kHNpVVR40CBhW6j/O0LZvBt1Gu9jnHdYikWkYgP9kSuYdrlMqqWiObguGJIoiVI8pzzzbGxl67WELm+3f39w4SQhej5PGb+9jQ3p0MTCJ9pf/VMp5q1NfKY/3nGnXoU4XGyTUCE7cID37Prrq61hhH2TF6gk6qdX+F7qe9lppbnp8UHyMnrYs9LXq+flyOHBhnGSlx9uA1PQzld5GcHX5DsFTPrtY4mNdy9Zn5qpU6yegUq4ymUzDnqDEW+l2l/lMPR58vU/L1S9rBsHECulxtlYpfKjXf4AC9VGt8J/A5KrpXxVb4X4+xFDm091yVq3F3M6KgJWXVnu7Ag/7h2N97VXe7U/ydJkMYOh/Qo5M9ckMvu/KiLKsQbWNMXX1JjvVRcOaqizrb47f0trv4sW8FUxLinE3VXH7rtj52+ajOPgPMWBkz2DGfrTC0BjU5uGeKPXRtT/vWLX2sp5dBJgMx074ztZ/dLUxSFZxBvjyssd48sYv1zE60R67vZc/oOufJGkyWQgWLblkJnt9PyK+WoswGDeWCVXJ6MvOJMfE1YTmqX5qXT9CJLol2a62iqsbzcIV4hflGRqNHOC4r1zXxAOdxZMvFC2AID8SEQpbRKc7LxVxhP6x3is+ulItX4K1y3VctPgTpahEz/eA8tAXf8fyg1CGA3gAjZCb4gBOyNU7Bq5HSl8wfTiXnq4QpOvRa6c9UyYfi0hqrAl/xOpjX6DrzxT5tId/qnlL3LwHUdMnCqdLRlwxM10ln1KFt6iMzOKYvx88doxGOaXuI7Iq7JHcy5LSlqa0bFWy668pudpP48Bs39LQhvVJEW2o6Cv9Hzuekx0vGdLehGieyFjwYO4V9CvKRY49ZPXxqpWsuFq7o9KSEsCGLblVAP4LP16/v6W0qnhOF8Jyzy4wrTTbg7Zd1s7GD0i1koi/JlhNYHfX0Vp++yoUf9Ipsgb54CHScKhk/UfYjfLDzQJns1hqrEp1TKtRmtWg9IleYD+QWz684JoOoR3vV4g+ul0sm9eySaPdfnWs9FeA9qrniWS1aJPDoAzrn/qt7yH7sYt2lf5j3b97cy7LTYr28pT/0jb5S6Ct8rNutQmMrV1+rNT7Od0qM8V/IZqyR89xDASfqcQ2MabNKdg371OW4Rcd3jsbglxjZsThcYwZmGIH3R27safgAY4ekG0HQnIw46SHZYZF5YpwqZbIj6TfjQUdFxlQhPBhTfGzYspTACEmxca1cGPHzT9AN++irCtUFf8YNxrTHvbRZLTqo4B7pMbCr1jMZDnIMGsO+47itF2iEPo6WzfvwDT0sQz5cmcYNJhTGVqWxsWX85boGHowvcg4ZxjkwALNy4QItseWeCt0jt9D7kbdc2sXTH7jy3PNZQjyMCd9XUGHLNxUaht3mPaU2Z+UhqxIBDeyRbOnJcZbbOdHGicBGSWGS/SKbg7E7Wscw4yUD0m3isAzr1jnBwjHOf9J9a16J9ZAgmKgM0gQJGqK2udkJlqPsGQLsgWtyrXfXRG8YA+La7UfscFGVHSmtNn73jd+jw2DiwwL8rtvP3thiRSVVNlXZ3B56DkRM/1ui1B4TVuOHZhqZm5F90xR1iDWEXoIi3kMUBZw4PNNGysjrqcgsn8hmO17jGi1CQShH+gGTjuqnzJAU9trtxVZYXC0HPdVjOKhnsg1WWzkZ8TZUAYAJwzJssBRhXKyzNBkco/qn2djB6Ub0NlPMeOmwTMPQHiIDsLOOxyqKyzN75CQYv03Ib7pdrwxc367J6muEdCM9adoWg4k5Bufumnd+L/XZmTuM3219Y+4eK9B4khNiPBYT1X+ylQQ6LhqYZszxhKGZdpHGQRac+RsgGhqQ28lKJRjCOuGcs86iAcY5Xlm2bsoAZqfF22WK1k4enS3nOcViIMqmdf+ku6CRjbtLbO+hcr+s6PIRWdZFArKv6M4r0JAZGKpLNm5whq7FW38FeUb0TbFs9ZFxoFyg4Uw5xMM0Z2PFBz2yE40Mxr1TuttdV3b3gRl+W2/L3hJjZcFI0Qk8MlBzmyj6IXAzTnNHOxOGZSpzmKL+uFYx5MC4SDy04Mt879iOET1NGplpOHomOkfwEGhIl4MxtHeq9RKPbssrM367jN9Bw/nIFx/WihDW7Thi7y3YZ3y9EtlA33tJyXf12ZvOFqPG+I3IHftKra9wY/5HSyZgXMAHJ01GKx+ERTP0m99bky4Sf6XaaNEhRjS0xs9JHDhcYUvWFdjqrUd8QK6guMoWrjls+yX/mHPk19a9Zbb3YJnhFHy+odDCLmRjB2XYZeJ/DJtWHkabaJ6x5+VX2srNRd4wXLO9yDbvLjbnnO8f8z5YQQRk4oh+KaL/GB88SVKGHKNk0qhMGyNDHeOqe1aijRHPjJaOyBKfT1R2CqNlnHif3wbl9zahVwJDEyQ7LpFhmy3e40l9JNeQMZxnZVGu5P6xLvh+dOR/kPYJcSHvEGLIT5B8gc6zpVviY8O2anOhwQtghNxChxFAMAELnSPHmJt+3ZJtpORVtjAnk3pR/3S7dFim9VVQi3sjfFwl5+DyUVn+efxeYf6RSuujOhOHZdhlqk9wfIho4lLxCfUu1blhki/jpSPHSLayzJLfm0V3Xzs2R/rKbISeO0bzjZwdIx5LkVOi2AePbenSqu2BEbYCK8xypTPfX7rfMAb7C1vwmCAMwJNADnoBfCaI1sFnovBDHmNczl550Os/DHkMxjGS3XU2QYaN7JtirEAJtVMGqK4xmzg8QzSRah8vP2h788tlHyb5rDWyd5B06WCVS4UX+HFueJ9U2aUZks/p5m0wMQWGd1/hPlK0tWJjof85voske3op0EmwZ1jfFK/b2WdeRspWS4wPWYJ4ZqhsMzLl1EV2jZZtRzJlWJ8Ue3/xPuEfazcoQB4XE5YmbVmSYlrL5KRtkr1yVMRUcKTa5kuHH5Quhm7gawKxrMbA3qJPQxQMys1OtEmya1idNl50Rp8zFTzKUfaMAPedV3Qz6GiobMgc2T7cPzA32dJUZ4jGO0WB3EuHZ0qGx8r2jTffhmw5bBY7z3/ocHTOv7++2X7+1hY7UFBp+w6X2x9nbLdXPt5lB6WnkTNXX9zZJsle7JYZb10l75B79BsbmaXL/ZRh5xgbO1ty7bpx2fbYjb3s4kHp3hZnvFcoiD9WxyP6ptokyTXwhAZSZYcjj9Bt6Psc3T9OfEh78CqYEXwaOyTNHlFAbrz0WEK86EG0d57havTjjsqm65GdYPdc1d2OlNXYxl3FNkzJKuQ49hu00U14YgPDGxf1T/XOKTYtvDFO9NVXOjlFGI0emGpXX9LZCHRmyjcZKX4Ds8FKEG6WHfzJ5wdtrHTSGCXJlLtsdF+be0Mo0oD0nTJTtV4g43BeLuMEJbhkQ4FBMHdf1c1wPL49ta9NFmGR3WGiEbz3TM41IkvfU5bvUWVDrrkk21jKOkSMR6bs23f0tbuv7G5kyYhIsQzpKrVxiaIzKNeYGJb9yewWcThXZ/Dj6TMRFPpYq87s2F9ufFErRQqwiyYAIV/LxRYqOWpzoLJXCJhsCYEJmkiMB4yG+6f0sFsVhXhKmaonb+2tzG62PSJm+ebNve27d/U1ItAwpmSSd1pGyUCICYds9ZYiL1jICk2QUEZp3T6pq5Exeub2Ph4T8Jms7NfNav82ZcOIDt6qiO0kCZxv39lX7fezqcqw3TA+x76lZ3/tmh42cVimj+JhpCOEB0noY5CiZK25f2qkhwQmAh7jc48cQ4TloB6dbNveUp9xmSyB+DT91/jZ0rdHhQeZvDuv7GZPCifmGUOXyBv0gBNMtCcrNdbuvqK7PaZ7Gfs3FJHm/u/d1c++e3c/u25sjjCsowlrgT+nNorFyKu3FlmmIlUsc0f57T5YLqoyOWjOBnTvZN8R1swPyoGxgDEGNUJ0lJj8Ns0bigLBcJfGOHF4hl0lZ5xo+xUjMu02zR/zMFlC88FrchVp7GwPKALL/WR1n1bm+NGbetvdV3XXPPZRUCPFP19wq4ct+L8GjFOPcUWAgeVUzAu0w7ySfSHYUCjHLlaBqLEyPFmdwe8LEjDpLgeC7E62shC79pfZgcIKHzEHP3gO5X5R/zTbfajs+PJCeOdrokt4nDFjMFfjYbbgsBrSlMSHDxhsk3A9KEXI/LGsi2gjkdp4OQMR45kIJXLkxgnK3srBx8ndnldqYlszNcS8wFOXS/FBqw9cnesNm1DIGfLJOsKfQEDGaiNjznlsNXzDGGdlD7Ke4A6GFXSFoXS3ZP3NE7tKJ/T2S8uQZdeP7WKsAkFvXCk84a2RCiDC9xMky4ZKVzx6Uy+Dx27RvXdJPkCrN4zvYk9L50y9oqs9LnkB72DESkd3BPTPOkacH4zce6V/0UtkP9FH8O74oel+VQYG7VgZZg9LNk+WXELuMZdgi+y9TllcZBvYwiuXS+8/omwJMnmqdA4diMx/goJ08H1hSbURLMQggudvEv/cNyXXyzqCfU/c0ttYxk6fkDk3yhn41m297UrpjPyiSv87psjY1KSwHZRsyZfxTpDpoAxZHGj6Z1H2R3A8RXbJRdITeXLKDmmcQ/ukGKsewOJr1/aQQZnrjx+7qQ4f9A16huvoy7Fy7sH18JEqbzBiMB84XGlgk6/28nW+Dh9mpDUAunBtws+Jcc5GSa+Q3Nil4GIvBfDvF11B1/dN7m7QGrT+xK19vBz+5s197EntY2NyDrqPiw1ZohyNUTK0ya5+vqnAsOmwLaDDcTK2b5cex2F9SvbLN0WrfyW9f71sDvT0nZI79+qZPGeMHJ/Hbuxt/+m+Aca5iqpa7wwMlUOYLYen1ehU01tVbdZFQX/kaK6yt0vWF9h2BaCxNR6TnBwhB32c9Db0M1l8hY3FWO4WTs/c0c/uuKKbXTo8w6/CIqh4zSU59ozk6AgFA8CLgP3Ifql2n+yTv753gD0s+XDpsAzPw/AvKyRvUXIGPAkWnA/KkMq1cmUBl64/bDv2l+qRzrD/CQaeYT0AABAASURBVNYfKa1RwOOA4ezeqsz+jx4Y6PXB1fI1mJtHJbPQL9ALCQx8kinyMcAKmw6MmHtsemQd8g0cvj21n3EPtAE9TJTNjTx7QnY2tAUW8OdTst3ACNsPzJFfV8pmv0xBhf5K3ODsRoNNgO6mv326JNsy0VR30dZTt/WVvM6xMXJCkfnX42fIfse/+SvZ5NjLrNyDJ6aKd/BPxg9JN3D4a/HG/df08Hr+cfHS1yXnoNnaWueD4aWyu0f0SbPEhJDmUlN6Hv8PHX+WN4hNDu5Ri5OziVH7woe7bNbyAz6bGxYqRH0xBjOVwULg7j1YYSXlNYZAP1hYaUvWHjaWd3KNdnWLVShFjeD67ItD9qWyJSPEXLFhZ4XKwG5RhpisGhFLPd6oz3Mgcn9sIWNL4RoGe7VS5rKyjDY55hrPak6BKEN6KISvrtnmPcVyeEISDpmWrYjEaEWxcAIWrM63tE4xxpJWIhwXD0g1ss1rlJ2N0Y1qQsZfraHkeB+RDOee/DLvkMfJiejbLclHB1FYwxRFI3OGQY1Cy9RzcFIxwBPjYwzHkghUOBSyZRsOixAPG9kyAg0I704JYT8vKD0wzpVDkhAvAqqVZGwOGMfuxahnnkqVbaV9lt1OvjjbE/QNIv7rFQmLl7FDdpC5Zy7iRDfsz1q2XziYjVREDEFBZn/6gjyNo1Ct1yoz2skukzOYJ6d5kWgGxwP84qSYlqw7bLTJOfDUDc3+n7YrqmpsxsI8nz2+QQYzffrk8wPmnBOOIW9wgXemnN8tcoySE2MsKSHGG3GHRNs79pWpH87Kq+CPsGHYHZGRV6DsBZFWCvdniTeukrKprK61P72/XXRaawiGFLXH+Fgi9bF4irkepIw2OIOdGm/x/xk3GbFpyrySrRwvxT5cc4JjmyADYKMycSxJQcl1UZS3uKxaWcx8jwkOSYqic8sV3II34MtZyw4og1sqhdnZRsmIm6XsBMtQyBIxPiLISWqXsSXIiTRXF7Bq8YGdrUGRP3S7ZvsRm7cq3zDuCZZsVjScbGyCaJaxhNRGWHOPgwDdxov2tiv7jPKMjFdVJAecIfPSkmOUBQ9bqgzYmBADsw7x55zTNDrPz9ApBaPr2rHZ1jM7wd6Zv9cIEpE5IBJ+g2QDxvnzH+y09xbtM90u/nJ+mTs8l6PMLdfBebEy6IUy2JNEKzhgOFbzVx+yRWvzbZwCi9AlsrlSRuXHyuQwp8xnlmQlOqBDTMA5BllNAMmZj8K/8dkeIxAFf9fpYGeZys4QgMjS9nnpc35mBRVBIKtauhQstypgmRAXsqzUeNF6gtdvCeKTtORYQz6Z/jAy+VZCluTjAQWN0L8YhzhwMxfvt5eVVSFLRvaN+X31k10+84YM/WTFQUOvESRGRh7Q/Zmpscqexdtc2QVkc+dLt05flGc4hrVRNrngSZdzxQ8pkhN5hytkQzm7VUGaXl0S7e25e+w1//utRULSpGvKfBYKTKTevY0VDoWU5UgzguPoG2QOsuajZfvts5WHbLYw/HDJfgUDKn0b7e0f6KuzZEOW6IugZKX0LPYGMgC98+Ks3bIfCvzSYoIrrwrPbXklxuttYFMge3KcDG6cDFa9jZLjhs7DSd4ifV6h9gbL5iKIuy+/wsioD1ZC4EsFvDfvKbF08Qe8Qj30JrZaioIvyK9124vsk+UHjFd78hVkgKaxt1jZ5Oe+hScjJP0SloKqrj7q6SgxPiy9W2b5xZW2X1nMRNklYVXg51MIKPJ4MDsie2TW0gMGf+G8x6oO9tiGnUdsvQryl4DurgPlxn5M2JkeZTsPlNn0hfuMlTM4z+t3Ftv6HcWWKJkQpoKd3z94ANwpPNk55/UIMgeZhS1eoPl+V7oHXT9ucLptVVCaAEBIY+qswAN6vUI2GM4bsgyZBC5bNNehcEhBihJ7QTqqUvITepom25BMNQ7x1cpGllVU27zVh6y4vBrW9qvxSOzMEh1gt9MuSZ9DCsytk/1fJOyZN/rbVgu0Ghcb9itIqwTmLtHBDiUvSjXW/kruZHSKVZa8wi+FHyiH/YtjK3+w/TMlr1ld61zIyGZzLkY4YlfNkWyCJ8AEnwD7Lz7Wed+wUPNE4iO9U5ydryBJBH+xkJkzk1Ct9cvKnHOesP/0/k5DWeZJEABKshgKBRknIzBBRM+7t6xX5x3CBClCjOQZi/f56MouMQvCibT3dhFdkSYeAYITFxYg5XI0cJgwpsvlHOvx3niqEqHp8R4E2sOwiVX9VCkMlCIfeRoiAZUvh2Kvska1ig5wb3MLz0mQYzhWkTqWgbz88W7jt5eIcPTPTTEYI7dzok1QVOdQYZW9NW+vFHeFJcXHGH2ZvnCvrdpc5McAmBA5BUaEUTfsKvHtXTo8y8jgbZExIdryhsMGCRKWYO9QpCpWjJkl4Q5xILRZllMo4uA331iqUaT9TWorQcKum/qTJmJEKciet5iYkIUBj4PmAqJ2mEOM1l7KaPVQ2Xuowg4qsg5hV0loQAfIvS8VsHhPjusqZagLNc842zh6JRIKMWFnKXLqkkQfYMzyErrHXEIztPORHKSPZbhCH2VypD+XM4VDVSXB3txhRO7HII8RHSG0wRIG3C8DaxOCToPQcGV810iI1RrzFicsnXMGPR4prbYKKUa28EmmnFc/PxpXpfoIHR8prbJ9aq9KuFTJYASball5BxR1h084PqDrRcLngJQTY6VNp2dH+tiiW4HsRIhhtQ99MJcsK2ZsYN8/N0mBpiJ7adYuW7rusEFzI5RlQCEg/NdsK7LsjHgrLqsy5pK+MQbaWbK2wGi3SJHUtVKAYBsOS37ombtEwxgOGAq5CrbEC0euc//5KE4Pgc4YJ/M154uDdkT9DGkuN+464hVVrGiyUvNUqbljTNA4gZf9MkjJYrFcq1R0qKa84keOFYkGtkmOJWvOczITLEOCXvBae/4TZD7QWSWZHJKWAK8SRWFxhjDacyV/kGGHJQ+PCB/oCmcIYytd+MD/BK+qhTWyLFOyCuyTFJRDScI3eZLhh4urxGfiO80L9AKPIG9jwyGjD7ulfAsl9zbvKjbaC4WcufYMfCPGJshE39W2Xzr6sHTi2m1HvK6qlSQ7pIBchfSsps8S48PSVWELhcwbvvB5tS4gG0ICGXln2mJ8oHe3y2mIUzAWJ4Hgrqk9sbfFqgGnNqrEO6punRVkSFUADL5AP+BY75d8K9J8EShCv8M7EdmHjmJ4PAd6Kas4qkDGYTl/e+0tOYDvzsszdCN9ol60lRhNiDPpDeETDoXq8JHtEif9t0f6E52DEwLNYxeVV1YbAXAcELACE+Slx0d2FgEKnP7X5+zxr2m9O3+fD7aGQi7aoGlAf2stDH4aG4Y3N6CXUhVgQd8SjMH+wB49An1JHhdJ74LbAdklhUeqDVzAEBsxUXIGR4/lkOitBWvybYB/bSbLB+Og4fjYsGHgvzs/z9ZJl0HTyC+ex3MLpa/3q22uzVPwBd6gjqZYAbuQuIJetmxh/qtFP/AKOvsd8QS8zDLcvl2SrPSYbooRH8bLDqc/2E3wGdd4NWqdArtgUa4saIVKsWxsZAE8DI3C2yHdWCBHfV9+uTLCpTZbgf5SOTnIajB+Y85u43URZIRzjaO35iLC49DjBA9oq1YdZ76cw2GSvJOupt+z1Od92ke+oZvekV1OcLRcCbUUBaGzFLDAzoyRfQJGtIG+Z8UaPLd9X4kcsGo7JBwOyUktUXA/UXyXLHmJ3T5v1SGbqQAtjn6JMMwTVpt3l3o/if6h97APuEZfzy9KINP4ElInw8KDeaXsVYKJoADJmmvH5Ng+6RLoBdsI2gdTVuxB7BlK7KUmh71NH8FwkxIkC8VbReIVljhTr4tsJBxa5o1nhMXXMSrokcb3uOl3iEXMZI97b/2KUZkWK6NihKJek5RZS9BEO3Fydnq8z9RkyvFCoPCuYbkMfl6w50vAvFt7iVLaj93Yyy7qn2ZjB2cYkaFLh2fY5WonJyPOWBZAporIWYa8+CIJKCJt44dleEHBu1qTlOJHYVJYTsAyEzLBo9TmD+/v75dVQICvz96jCG+lhFnTBx65EyLNkOF1y8QuRhQ6RuPHQYNoEyQ87ri8q/9CG0ZZF+FAFBAHYMXGAjm4ZXbzhK523+QeRqZVUBkF4YsSS4MQxGQl5VU+G2n6g7k2KzO8WBnLZBnLD13b01gS0z0r0b9rgmCukFFC5pfx0zeW90J8BBhiRCSlchxLVCrExBiUCKT9YnKEL0JNj2nW/5Ihwrfc3pBShfhZDsQSKpa68dwv5fwskLDPER5fv66nTVFGlznPlUPTVxGgq0ZnGzQDbZCFqZCAZfkHyxV4p6tSjt86RRInaO4fubG3QQdjFX3rpADKhKGZ1lvRbvrQrEEcuzmkhsjIk32fOqmbrVA06suthQZeV4zsbCgSlh/R1z0HK4z3eFh6wrscAzSWYhn0zD19Hdgz2Ub0TTFoJl2MnibD5YgE4qXDM+26MdmWLjrqmZNgzG1acpx97+5+PruFAwlNd82ME42l+q8upurewb06KTscrguKHOtvi22cyWk4aiHRy32TczVHnW2uhHWSgjh8MZUtgqxcNNRJBipLUcYJ+0Lx5eei7e0KwKzcVORXYlws3h4lmXCv2mEpMkvtN+w4Ip7OMoQgUb4rRmZanDQu9AcmJTJccX4Ef4sN6VwN4YARiLlUMoesUpyih6x6IOPXS4ZBtiK68ZJpzO/Vl2T7/vYRrZFxYQVGtrLXj93cy1jS1UsBnSo5Zjcp+9IzO9HXJYhRIl7mWwTn6ku0Xyf4MlyBxBvH53idME4y/a/v7W9/fU9//64TKywwCFjexjWCW6xIgPZH9UuzH90/0G7SvT27JtlIHaM7DpdU+qhvlYy3bOkEZAcrCVgiiyHHyp8bxuUY32NARq5XRHxk31Rjfq4Wf/EeUKrkKXImJM2F8ox2nJvT/yopblZcoFd7d0syXmnpoaBDb9H6NTJUkEc9JI/g53AoZD9+aLDdeGzVSifhuFORe97Fu3dKd0PeDVYmK0uBCXi6RIZusXQMepA+Ikf3ynHFichQgA9jjmwW8oLlaSyJZDXOkN6d/Hc3rh/bxesA2h0/NNN41QF9kSteyhGflaptdAv6bNfBciPwWGtm4ZDTv9H1v5dx6vbu/eVWKiM4S/hUSOcRuMW5eub2vgatXyb7pl9usn+PlNd0UiR3+3RN9PqPTC1zyfxlS69iHx1QgAJ8tinY4J1+0XwoCvFpyGyGQyGvk1nJgY0Q0jjRV/lFFcYSUpZtXya5PqxPqrGC7bpxXbzNClYThmaIvuItW5nfIdKplwxMEz0d8RlJno2jQtKCZEGp9PVWBbXnyn4plHM89fJuxjJlZBDvHA6RzCO4gH5kFUpv6YERkkG8UhUOmWXKBq6WXsDRCenYzz0PaYGCY5sqZ36MZG1IDQ/s0cmw+9Yoc9xdfP3U7X0MO6JctHXbZd1HAmU3AAAQAElEQVTsrsu7G6spcnUNPmUMT6sO3yyYtyrfCOQjazmG1nA80G1Xjc6yTDl+vCYwpFeKDZJdQ8YWZxaeREbcO7m70R72bOsYKGcHDBnxoGxj+tCtc7zdMKGL4SR11hwPkpzqlZNkrIjbI+cM/wP/Ap9hWK9UQ3ezFBt7skaTT1uF6B7JxVsv6yr6iTdWAF0/rqtlyBdhf4xoJlvBOvwNEluDREeP3dzbsO0ukf2TJbzwQy4fJewkI5GxrNpLlx14pfymTN1bg8Fz9mFFrl6QrUjKJ2ryFGiLkx3Ex7AIdC7fcNgITJYqcIKDim4HrzvEG9hKfYRbf8mtkfLDQiII/CJ8k1zZ++gM8OuUFDL8xQrZ9sXiK9pKjA8ZuqKguFJBvCoLhdx5HXcoJjZWRBNrtS7GVm0ts5++ud3ennfACkprLRTmWoyt2FJiv3lvl72/JN9+NW2XvTX/gM1dXWh/mLHbPtP2pVn77JVP99kXW0ttpcqS9UfsTx/s8XUWrDtiz76/177cXqa6Rfa76bts1bZSm7bwoL06e5/tPlRl5sIW1rP25Ffr+m57YVaebd9fZYvUzk/e2GZ//kiZUfXts1WF/vq8LwtldIfUvxjd2rzCc49ajG3Nq7TfaTzrdpbJ2Q/bh0vz7d/+ss14VlZagsXExljV0bCN7J9uN07oZgePHLWfvbXT3l1w0I+Z+2rVTozGUVET9uO1UKzqZ1pyYoLlFx+1PflVHpN9BTU2+4sC+8XbO2z+2iJbtb3Ulm0stj/M3G3PfbjHXhWWv5++2+Z/WWS/n7lHfShSZrDaPl552OauKbI3NT/TFx2yGlN/BmTKiQnZpj0VVqP+hWKah4cLx9Thqr4vWV+sPu60mZp35unjFYf9/H++qcRm6Nwv391pi9er/5pP5v7PmrfX5+xTX8rt5U/y7D3N8fwvj9gf3t9jH36ebx8tP2x/0Hg+XVlgL87aay+qzqptJZ5uFq49Yr94Z4cfa3k1cxvb7Ln1Y4mJtd2iq5c+zrMvd5TZGtEh/dywu9yWbyq2fxe9z1h8yPIO1/g+v/7ZfpsjOntWfZ4rOtu4p9zTH31+5ZN99jvNy+tz9tuvxQdrdpTbm3MP2NvzD9rCdXX9596PlhfYuxr79v2Vxlx9ovEyP9z7nuaNZ//5w7326YoCq6kV7auPLtT8eWO8lLBooFa0sXxjif1RNLVUtDXr88PGM1dsLjH6vGJLqcXFx9oi9fvnb2/3/S0ul3npYoRLif1GfEo/ExPi7XBxrcGrC0SrW/Iq7IWP93qa37Sn0v7jrR32ujBbqfZmiT6QC2C9ZMMRL1NCjE00Rb9au4T1rCrx3hzxFny5v/CoH+vMpYdsx8EqL4cY1ybN6aa9Fer7dntesmWjeIf5+rn4cfYXheK1Gntj7n77yevbbJnGMW9Noeiy0N5ZcMDgzcOlZmHxeWuP50K2HyMsq0Wb81YX2U/f2u5lT57kFvQCHU9beEh47ra1kpcfLj9k7y06KFleLbz3e70wV3rhI9HcB8L+95Kr7wq7n725w/4iWpknufac9MMX28r8fa9JZixdf8TLhoXaIvfRJzulG+aJ5p77YK9t3F0hmVlofxJfbj8gRSn8Q+eJri7kPJzt2bGxcVZcYTZNMuXlj/cZ9D5dsgw8l208Yj9/e6d9ID2G7ILu2SIHXvhor62VLJymOXn50zz7TDSPvHt/2SGP8VzNzzvSa2B9uESSRFiHpf9KK5z0WqllpiVZ16xO9rlkya+kA96SPlogWYl8n7k43/4i+bj7ULXk4gEvOzeK317/bJ+9KBkcpz736pJi63aW2yHp0LD0TFxcrMXHx1lIcuts423L15AHhWVma3aUWm5OJ0tLSbR50tW/eGen5ueg1/vg/45sJ3hhT36NvaQ5e232ftsg2n5RuhO7Kj010bIzk3w7hWAfGys5HacS2yL6sK1iyNyXVzmNu8wyhAEYYlNgb74hHbtQcuCDZfn2vuTJq3P2KYNd7e2SOvldbtAgdmJKpwRLT02yBWuOWIywQyegw4rLzXZJBywXzWIPrJRN+9M3dqi9fFstOfT55mJ7R3r8WelL6PcX4p3Z0tuvykadseSQHdHcdk5Psv490mzbvkqvI0Lii5bEk/bEBAa//GbaTvuzbCT0Lbrs59JN8OUu8dUrsps+FBZzVhfY72WPYMcw1loL+X7Bh2/N22+7D0sei96ww76QfoZXP5YNNk22CbYmdhx8/vqcA54XN8omQla/J1kO9quES7VsSjBsyXGeta2Q7CAVbNmtwhm59Lxspd2auxjJh7JK5+f9j9IDe2XXMRfohzc13tXivRVbS+x9YfPLd3fYh8vz7Vfv7jJk3izZWr+TTbNIdia26Ue6tr9QPCgskZFbeJZ0ErYMugf/BRpZJdt2ueyo383Y5WXpBmEEzc0Xb6+RDKMfy2QPV8pmRQacdWxtQF8ddTG2WTbcHmF3yeDOnteQ62CJbt8uv2u1xvwL0Rv6YLXs5c/FK2/KHvq1bN63RU/wJLIMnKBNcFwoXD9dVeDnhvPYjP1z0yQH4239rnIrke6ARhuOj+igmXiF8g8dtMqSQ3bwwD77dPFGe/fTtfbenLX25fodVq7zVWX5tn3Hbvtg3nqdX2efLtpk85Zttg2bd/q685dvsdXrtttbs9bYSzNX2ZIvtthcXZ+mdmbO3WAfzN9gM+asszlLNtlnSzfZO5+stTUbdtgqtf/mx2vsi7XbrezIISspPGhLVm21abPX+vKe7pk5V8+cvc4/57UPVtu0T9f5+qWqT78qSvLV92aW0nwrOHTA5n++xT9n4Yottn3nHvtU/X1XY5ijPu/fv88+WbjB/vD2Clu9fod1ijlitRUFtkh1X35/lb2lcazbtNMqhFel2qsqPWSLhcOshRutT1al3XyJIk+j42ztxh32hbAqLz5kB/bn2ftz19lLM1bZh8IIPBcIy7fVFve9P2+DzdD4p2suPlm0UX3aa8tXb/M4fzR/o23YsssGdK603JQy+3DBevtyw3arKjvUfDyOYVqlcZQeOWgr1myzv3z0pf3lgzX25qy1fv7BY2/eXtHDWs35avtY/WO89HWmxjRP8/++6IW5p+4CYfv6h1/a6x+uNsYHhms27NTxl/bq+1/aQl2HPqZpzmcJ571781psHMxJBLeZwnP3nr32uXDcJpoG1/dEX9M/W28bRc/MzV+O9RHa/Ew0sH/fPqPep4s32fIvt/n+f7hgg/hhg23auss+Fz7vfrLGZqgNaHvu0s22R8+Yu2yT6GKtvzcvL8/WaO7fEW1/MG+d558Zn62zj0UfBfkHNG+iYeFdeQz7Zm/VVplobMv2Xfbxgo02XbjOUP82b9vl6fcd0TVzlJe3zxas2Ox5kuvrhUGl7t21e6+n7UMH91u1+H/Nhh3ivbWa/zW2Y8ce0cR226Yt/Dxdbb8nDOct3+z5Hl4At33CjXubPZZGYHK0/LDlCWt453XRLPMDz63buNNWrtkuflpn09XXD8Rb9PE99f1dzclSyZ0vN+zwcztN17kG7XIdHlwoPuf8+5Jna9QW8hKczufYzvezwHLHrj2SietshnCaIfqBvsH1I8mbvcIZ+YeMBBf4yVUVeLqYrvrI68VfbLWNklMfiV+mz1lv8NAc8dGGLTsN+YCsp13a375zr60T/bH/nuYEmiuWToD3OP5M/AS9vatr6+vJ2vONS1t6Xk15viErP5i/3vP4/M83G7IYrOEB5gbMd0keIV9flWxDvsH/zAv8/rrk8tvSycg79Mqy1Vv9fM/UfH+xbod5OpdMYNxHKw+r/Q22WXJvWPdqq60s8LKMNuEX5CfbD6XPkCs8Gx6Cf6CRD9XPrMQS27l7jyEzKqUnKyVfaDvqizCqkv6dKR2Tty/PhufWWEnRIft0yUaDF6BjdCnz8tGCjbZQchddN0P6ctHKLdKl62y+ZGhOcqkhr5BRzG/U49II+V1TcdhmCy/ocli3aoupKbQFsg2gL3CFvqAtCvQ1R/oZebFA8hlMZwj7LaLNTxZt8Pq2SvRVXpxvvTMq7P5JyVZadNDAGlvzSMFBb4++LJsVWkSmrFy7zeCNjySvPhANvzd7vSGf4IXdu/Psol61VnT4gE2TTeb1tua8RedH7dE+fZwu++Bt2RWLV2611Rt2SA6vlZ5eY+hwzmGTTZM9/JbqfC67pEL6fpP0+0zZXfDcdulnZDi2D9it27TDZsneeP2jNdJz6ww5iv3BtemS12s27hA+h7wN/ur7q6Xr19p63YOtWql+teg4z0YTPEvlgGzujzQH2BPonbmyKbH3sSeZn3c07mWy45iHlfIhXpMce3XmagMLdAdjmi4ZxpjR7xs37xJ+a226cH1f+p+xgzO0hD1HnWmz13l6Wyv98vbHa+1ltYc9N19yFUyhCXh0xpx1Nk+8im3I/eilQ4f219lxZxtbG7hWLZ7ALnpTdJAcPmJTRsTYnRMTray4jh9Kig4YvDFv2RZ7ecZqj9naDTtshTBmLsCAMU+XPocv0ONelwizdz9dZ5zHTs6IK/YykPmYK6y8rD/P4w898dhD9uHvv2VLX3rKlqgse/lp7T9ti198yhb++Ulf2F/6ks6//JSuPeXrcY66S3TPYorqL3nxaVvCVsdLfTt19ZfqPupRuId7qbdMbbK/8IUnjeLP6T7q0B8K+5ESaWcR9Y/1LdLHM20bdF7t+WerP/SR9nn2yteesem/fMweu/8G+/bDN9tv/t/77emv32xPPnSTvfkfD9vyV562xS885cfsx3GsT4t07tPfP27/+enb7DuP3GT/9z/fYz/+9u3219+8Re09aoybOkteOvl+nr1U55aC37HC2DlefKyP9HPxi0/acl1/498fticeutH+8Xt32qe/f8IWCfsGjfdYP89VdxHP1HN4JvNDPyicX6wxMt912zoM6vr+tC3RPUuPjYO63FN3XHdtsfq5RHWO36t9jsGFLfecq2+Nuc7zIjjSdt0z1Gc9N3KeOoxzqfq9hHKsj9RfqnoUf130yT7l+D3HztHWEtVdpPnhGsUfC0f2Gd9S2lYd+GOJtrTfmLE0pu4i5kjP4DmR/vp+qL+cW6R+MSb67a+rPu1znnpsOWaf/lJvEbioLNYYaYNzEb6krcX+2lPiiyeNe89nWSC6ps+MhX5BX8f7o355/I+N3fddc7FUhTr0nXu4d4kwY3v8WPdSh0K98zmmC/WsOiyfMuaWuQcPSh0mT/v5BSePifBiS1/Zcn6pcAUrjrnPt6N6S1TqzkmfaL/umtqDnurhTJ3IXPJ82uJens81ntXRS90cPSmdLCzRscLP43kMV7DiGD5g6+mfedF1MKQsPXYcwZct5yns18eY43d/9qh975s32//4wZ0297lv2XLxU/02eA6FumzpA/vUW6Ln/svf3W1Pfv1Ge+X/fv0kG6P+c6J1H8z+8m/fsGe+cZP969/fI/knfITvUpUlQMiYBgAAEABJREFUGjs4gAnlxP7Txj62xPznn7T/7z/d6W2Gt3/6sC3RnEYrFk3pN/i99/NH7fuyk/6/799pc5594qz0BaZLRX/gt0xYgeuf/vdD9r9+eJfsocdt0QtPicaetNd+8g37f/5qqn3n0Zvt+X/6mnHfIuk+6sMbHPPsunaeFj9J7mm+vMxSu9Au9s9P/+u99s0HbrA//a8H1faTmt/WKfRjqWgGfl2ifnAMHy3VuUh/2V+ia9SZ/ccn7AdP3GL33X6tvfuzR2yp5ADjYQ64149T59hyjy/Y6rqfc4zT1xcm1Gef82xp40IU5od+Mm4K/aIfnKdvkXMcc83jwpg0Tvq9VFhRj+Kv6zz3cExZorFznn0K+1yPnOfYt0k9laXH2uN8hOZ4duTeRbI96F9bL4vEEwuee9J+8uN77JH7rrN//rt77L99/w77q0dutj/9768d802ePMYjTxnjBU+24MN4fRFfQDfgwnUKdRZLj8MvH/3ucfubJ2+z7z92q00XTy8W/ucbm1BpSYklx5RbSlxQTsUgNb7C4l2pFR8pMFdTYikJFdoWW0VpkSXo/Kn1TzrWvaGaYis5UuDvLzh82KorjtRhHd8CWKuN0NESKy4qsHBtiaXoOCW2Se3aSf0O6CDAI6CBgAYCGgho4FQakH7ppHM10mPl0oHJ4TLzekfnzqlDpJ866f6KsiJlOIosWfvnvKch7balOhoT46oqL7JKjZPxNhSfVOGTHFNm5SWFBr6d4iqsw+lz4ddJ83m08oiVlRZakugLXBpDJ9hrcVZqtBO5z1UX2+HD+R7bxJBoVs+IXGvQVnPTKbbMz2k5/Wpj9nKS6Aa+wk5NYHzqb4PG1VgcgvrWLnAVfcSHSq20uFClwPBNyiR34LeGyquz4QDPwoclxQV2tOpIHS+Kt892T2tcC/35z3+2F198MSgBBgENnJEGAv4IZERAAwENBDQQ0EBAAwENBDQQ0EBAA22dBkIDBgywgQMHBiXAIKCBgAaaTgMBdgF2AQ0ENBDQQEADAQ0ENBDQQEADF5gGQhUVFUaprKy0oAQYBDQQ0EBAA61DAwGuAa4BDQQ0ENBAQAMBDQQ0ENBA69JAyIK/AIEAgQCBAIEAgQuPQNCDAIEAgQCBAIEAgTaLgHOuzfYt6NgJBALn9gQWwV6AQIBAgECAQIBAG0Yg6FqAQIBAgECAwIVAoLa21q9wZXshnh88s+EIBM5tw7EKagYIBAgECAQIBAgECLRlBIK+BQgECEQ1As45c84dH4Nz7ivHxy9qx7nGXdctFgqdcH+c++r9zjmq+eKc88/fs2ePLV261KqqqvwxF51zbILSxhA4MbttrGNBdwIEAgQCBAIEAgQCBAIEAgRaFoGgtQCBtoqAc87C4bDFxsb6LVnS4uJi70zikMbExPjz7Jv+6h875/w17o9cd855RzZyzrm64yNHjtjRo0ePX6Md59xXnuOcs5KSEqupqbHk5GTLzs7295j+aJP72Oow+L8NIRA4t21oMoKuBAgECAQIBAgECAQIBAgECFxQBIKHXwAEnHNWXV1tq1atsmnTptn27dtt06ZN9sILL9jatWvt8OHDtmLFCps3b54dPHjQ9/DLL7/02VS2RUVFtnnzZpszZ45t3brVXy8vL7fVq1fbokWL7NChQ955zc/Pt5dfftnmz59v7C9fvtxmz55tONF8YPeLL76wDz/80Hbu3Omf8+qrr9pnn31mtF9aWurbxdndsGGDffzxx/6Zzjnftr8Y/HPBEQic2ws+BUEHAgQCBAIEAgQCBAIEAgQCBAIEogWBlu8nWdodO3Ycd0RxPLds2WKff/657d+/33BCKTi/n376qa1fv95eeuklmzlzpu3atctwcHFCcYpnzJhh3IvTunHjRsvJybGFCxd6R5d2WV68bds2W7duna+H84xT/MEHH/h2WHpMX/bu3WvLli3z7eNo4xCTyV28eLHNnTvXO7w8D6e45REJWmwqAoFz21TkgvsCBAIEAgQCBAIEAgQCBAIEAgQCBJqNgHPOWOZLVhZHkmXDWVlZ1rVrV+vevbvPkKanp9v48eNt0KBBlpGR4ZcvDxkyxC6//HLvpHLPyJEjbcKECVZQUOAzvji2w4cP98dkWzt16mSZmZnWt29fo/0uXbr4n0QlY0uWl6XH1113nXEP13nm4MGDrXfv3r5/tIujzDLlK6+80kaPHu2XQ+OcnwRCcHDBEAhdsCcHDw4QCBAIEAgQCBAIEAgQCBAIEAgQ6PAI4Bzi3N50003WrVs3vwSZjCjnKTiuHOfm5lrPnj0tPj7eEhISLCUlxTu6cXFxVlZWZqmpqTZgwABLSkryzi+ZVpYT0wbtcx6weS+XZctkhnF4WRLN/QcOHPBfRea9X9qkLsuQKfw+Lf1wzvklzfSHerRNvaA0DoHWqh04t62FbNBugECAQIBAgECAQIBAgECAQIBAgECDEOBDTywRJivar18/S1emFoeTJcj9+/f3S5OfffZZ7/jy9WIcV5Yd79692y666CLLy8uz559/3liWjNM7atQo/+4u78bSFse0jWOMU8s7vGRiyRbzYSiysyxZ/tWvfuWXI9NpnGGWJi9ZssQKCwt9lpaMLcuen1VfWJ6M04uzTP2gXHgE2pFze+HBDHoQIBAgECAQIBAgECAQIBAgECAQINB4BPr06WM4jlOmTDm+/PgHP/iBXXbZZTZp0iT7zne+Y/fcc4+NHTvWcH6/+93v2oMPPuiztRw/88wz/phlxWR/WZ58++23+yXGtNmjRw//teNvf/vbvp2bb77ZnnjiCXvkkUfs8ccft/vvv9++973v2dSpU43lxix9fvLJJ33dW265xZ5++mmfVcZJ/v73v2/33nuvTZw40WeQyeg2fsTBHa2BQODctgaqbbXNoF8BAgECAQIBAgECAQIBAgECAQJtEAEyqrwDi2NKxpRlwSxD5t1Xjsms8q4sWVmWJPN+LO/PsjSYJce8m8uSZOqTiaU93rnt3Lmz/ykfzrGEOPIM7udZ1OHdXpY0138G9SPXaJP69Iln4SjTl3Rll4OsbdsipsC5bVvzEfTmAiMQPD5AIEAgQCBAIEAgQCBAIEDg/COA4xkpZELZ511Y9im898qWErnGOfYp7HONwjFbSmSfLaOiHoVrbE8tnKdQn2vss6UvnKNwzHkKbQal7SAQOLdtZy6CngQIRAMCQR8DBAIEAgQCBAIEAgQCBAIEAgTaJAKBc9smpyXoVIBAgED0IhD0PEAgQCBAIEAgQCBAoDURcM61ZvNB21GMwFecW+ecOeeieEjN67pzrkOPvz56zjn/4r3V+3PO+XPOOYuWP+fc8T475/z8Onfy1ur9OVd3LXLKuRPHzp3Yj1xvy1vnoqu/LYGlc3Vj5h0Y51xLNBm00QIIOFdvLlqgvaCJEwg457xcO3HG/DE8ECnOOQv+Wh8B506Ps3POz4lzrvU7EaVPcM4dx8g5d9IonHPHr3HBuZOPOReUjouAc+6cg3fu3HXO2Ug7qOCcO4mXIkNyznlbGZ3hnLNo/jvJuXXO+QGzljyaB9WcvjOp3M+6erYdtfAOgXPuOKHbsT/w4UV6tsdOtfmNc87oM4V+U/hIgHMnn48MxDnnx236c875z75XVVUZv33Gb6Vxv3POouWvI/Iz78JQmOdomaf23k9kCj+X0BHpsSlz29B7kEfoK0p9euc8Mi9S6l9raNtBvcYh4Jyz09E3c+Fcnc4I5uHMmDrnDF0Lhs7V4UVt8KNwHvycc8f1MnKeaxb8dRgEmO/i4mLbtm2b8dNBzjmrqKgwdMzZQIC2oBfnTtDW2eq3x2tg51ydnIrwUmScXOMcx+gT+I39aCzHnVvnnDHp77zzjr322mueUJzrOATgnPMODb97NX36dO/IWAf9c84Zv/n1pz/9yf7pn/7J+A0xCN45Z6tWrbL/8T/+h/GbYRC/c22bRpxzxm+m/eu//qv99re/tTlz5tj7779vb731lh/LL37xC/v1r3/tx8vX9g4fPmzvvvuuv15eXu7Pv/TSS/bpp58av2n26quv2ptvvmkIVgRBWyUR55wPVC1atMiYx6KiIn/cVvvbUv1iTjZv3ux/5+4f//Ef/XxDuy3Vfkdrx7k6OnLOfWXozrmv0JRzdeecc8frMycoSeTIRx99ZPxmIeecc/5+59zxuuw45/x59oNydgScc14+g+t7771nq1ev9noMvDn3X//rf7Uf/vCH9uMf/9jLNVoDe7btoLSpIYDr9u3bvZ7ZunWrnwfnnN+uX7/efvazn9k///M/G/OCke2cs+DvBALoX+yvDz74wKZNm2b79+/3Dizye+/evR7Xf/mXf/H6F908f/58e/vttw2dvGHDBo/zidaie88552Wgc+6kgTjn/PmTTrbDA+fqxumc86Nzzp00bmhlz549hr/C3Ofn5xvyj3PQi3Mn6jvnPB2VlJTYZ599Zps2bTpOK86dqGfH/pyrO+ecO3am/WyQUWD0xz/+0f7P//k/9sorr/jgAOfBbdasWfbf//t/9zY+uDrnTsI9mpDwzq1zzkc8yEzhvOzevdsfR9NAmtNX5+rGD+EvWLDA+Bw4n/xuTpvRfm9aWprxefOFCxfa8uXLfeADgwl8MKDAB2Zo6+N0zhmfj0c5YlDwiXc+E8+n4zt16mRsYeg33njDCgoK/G+l8cn4xMREr1yfe+45H4kfNGiQDRkyxEaOHGncR5TQOddmh89cMR4cewwtxu5c2+1vSwDpXF301jlnI0aM8EIZQU7bzrXvsTPGlizOOU/3GJE4oxF6Rwk657x+wFggE8s5Cs+nHoEfzjvnjADYrl27jLr8XmD//v2Nn1GAPqnLebbc61xduzyP+5wL5gxczlTAvLCw0HCcMPbAds2aNT6bwT0JCQn+9yInT55s/OwFcpDzYM82KC2HgHPO4BVk7bp164wVPs45L4MImB46dMj/Lic/HbJy5UqDJ5izluvBmVqKjvPYEshqHA/sDn6OhQA6uIHlzp07bfDgwb4QJMMBxhGGppOTkw27BJxZpRAdIz59L52roxnkJ7IRWUhN5xwbT2PQGbzvXN05f6Ed/eOc89l79AI4MDT2oQP2GTv2DHYY++gb7LWBAwd6+4069evj+OLTQBu9evXyNh91kIPgS13oz7k6PHkmbYKzc3XnqB/txTnnA8t5eXmej7BlSQQgr5xzXlYx5n79+tmUKVOMn0dyznk7IBrHHqrf6a5du9rQoUO98e6cq3+p3e+TqURgIlQxws61vKE9AwLTozD4/a6JEycaimXHjh1G9g8hgGML4bNP3baOBcoShxVhyLjoN799hpN70UUX2eWXX24wOCsWWL2AEoUGMEI4P2HCBKMutIHTNH78eO8wU9e5tssnBCiGDRvmhTlKIBrmqjm0xPhQYBiQjB2Fx5Z54lpz2u5o90IvBEc+/PBDQy7OnTvXvvjiC0PxowC//PJLf0x0F4qJNggAABAASURBVOMBZ5Tr1CVYRH2MkX379hmBo6VLlxpKlcxW5H7qfvLJJz67zrN4Ju1yjhUHGB3OtV3+utA0gRwju0VQumfPnnbxxRcbcwHG8MEll1xi119/vXeq+vTpY5dddpk3YAJeaPmZA1MwR0/wO5vs8xTOE2TAriLIwHWCO1wLygkEwIsgDU4FGKG3VqxY4VfQgR+Bm6uuuso4j0PLUlQcE4LTBKxxjDkHT5xotYF7baSac84HDXHwye6zygxZigylizgiJBqwSQjWQ1vOtS/56JzzmUT0DgWdgmOK/kAvMM8EMUjCIefAgDnHNkUXQQME/JYsWWKzZ8/2gT6SVuigiB3LdWwCcCRAAt0hQ7H5wZ6gCrjzfM471z4wjmDVt29fH/TEucVGcu7E+NDv6GJ0NLg6d+IaNBhNxTu3DNo5Zxj+KSkp0dT/ZvfVuTqBguDAEM7NzfXGHMtQYQDnondymwMONIFxeumll/ooGsJk2bJlBmNAJxiz1GnOM87nvcwly4oXL15s8+bNM5QDjI1AGzNmjN1+++1+qTUOLmMjaoqgw5HHOWasGI5ggEDEUKdN59oufeDAQ9M4DecT6wv5LMbKvKAAEdIoOZQg5y9kv6Lt2eCFc4lxAd+QQfnJT37iMyTIAniIIBB1ZsyYYQS/4B2MEHQISwbJsKAkMUioB8+RWcRYYzkhbcBftIdhsm3bNs+DPIt5oz64Odd2eYz+XajCHIEvcposIE4TBj/HzjnDKQB3Ardc4/hC9bUjPJf5QN6CtXMnaBY5DJ1jVCOLcNQIRpB96gi4NGSMYIe8xriGlnF20bfQL3hmZ2d7OwRZlJOTY7fccosRsMZuw/lBl1MPPd2Q57XFOs45v8IlEvRjtQX0gkOLbERm4nAw1pdfftk7/hyfj7Gcz2cwVsaHrQZNsPoMGYbNhdPJ8mMSDxGaYc5xbjlHsA9nlfrQBXoI3QQtwW9cox3aZOk7th32HkvbuQeHltWKYE+gFX3Gc5w7wc/nE4uWfhZ8RUAIPsO5Z58ViWBIgc+QV9AadIg+Yfwt3Y/z0Z53bus/iAFyHK0Dou+NLYwZwofQWX5KgbAhgI6EQ33cnHM+S0O2EmUMk2NsYrhG6jkXPQyPwsQYv/LKK+26664zor0YGzi3KAiiwl/72teM6CDGOvSAgMPQRsBCB2RzMcJ5XxfnCUEB7UTwaIvbSP/of1vsX0v3ifES2Sfb/uijjxqCGoXnXPTQaktj0pT24IsI748aNcruvfdeb0xC/zijyEoUIcoRIwLDknos+5o0aZJf2YDBwWog+Gj48OGGHKEv3INCJZBIXYxUgkkEjmhn9OjRNnXqVL/igPnknqB8FQGwwWGNBBtxapFJGL/Udq7OWEZugzdzyj1cC0rrIAC+FHRK5Ans46RhaMNTBIyRx9SL1OnoW2gTmYK8RvdCy9gaHIMVAUvkDjiiw7l23333GYFploL36dPHv0ZFvWjFEgzgZXiV4AfjZFzIRsaOE4bdgnNPRhEnjfE61350m3POWF7M6gdssmuvvdbAAF0BTZBwwFllBR1zD07MN/WRe/AUeon6ZHHBFLyox8oWdA84sioAO4HznKNNAoWsDIgsy0V3YSPSfgNKVFRxzvlXDEnQYNfeeOONBm50HqxY3YMdjP4lcEQd+I/r0VaOO7fO1TkzRDhgHAjDufbDNGeaGJgB5QNBIzgRlAgTCJ5J5fqZ7m2v552rWxoCFjA9wgZnjuWeYITDR0GwRgMGLHVCSFEYB0yMw0PkjmOMPyJURIMpvL+D4mBJNoKSaB5RLoQrTjLGOOfbMn04V7ciAeEEP7Olv9EwX03tI+NjHqFb3mlj3PA1Cow5b2q7HfU+HCVwg1fAE8Mc5xU80Q/IBviHoA98gTMb4TWuQ3Ngh8wgewtPcR35SmEfnuQ+6mOEcEw9ZAulI8pfMGtIAR9kEVlBAgxkLsAQw59sDxgzfxhtzFFD2gzqNB0B5+r0JrqR1QkY0fAIc8GHb1hqTzACJ5fzBHKa/rT2dSdYsRwZ547sLKs+xo0b59/ZZxUHGTv0NfhhmLMCBLsNeYFxTmCNe+GJaEYGfoVvkY3IT2QjhQAh8phMLvIYHkceO+ei9p3IM80T+oLEEuNmPsmospISfgEfgh9kXpF56A0KdaAF7kV/sCQZWgFH7Db0FDyHf4ONgPNLO+DJOex9nF3q0x5tsaXQlzP1NZrOO+f86gdeGcKmZcyszEIusQVT8AA/cGaVJhi2nA4+v2id5NzCVCyr4X1KCOD8duXCPc05Z0RpiAYhUOgJ72HCTNE6sYyhOQWmxmCFyMHmzjvvNDLaCBu20AfXmvOM83Ev84dxh2OO8sPoQChC6/Sfawgv5h3n6Oabb/ZLnogEYsST/UPooWyJZPHeLpF3jEraPh9jaMoznHM+886YGAfz5Vz7DlYxVuaTeWL5EfMzevRoz9vsNwXHjnoPeIEnxgKOKRFzsuFEy8eOHWs4uShCjNIrrrjCkBXwBnyDsUCGAeML/AgwcA4jg33mCOOsj7ItGGoEitA7vAOEQmX+MHCRNc61b5oFn6YW8CHbRbaBfeaJDDm4I6/geXQY+hzDmDlt6rOC+86NgHPOG4/QNXxBQd9gNGI0k4WErtE/zJdzAW1HUAUPHA5WV4EVcofMJTqaVXQEKtHDBNlYtorORnbghFAPeQTekfaiceuc8858QkKCl68E3bFZcGyxuXD2GS+FjCZ8HY3jPFufkVHYZtABOgWnFNogaIczRlYb/YPji55Ab4AR9dAd8Bi0A2bYaFznXuQkvEeQj0IWF1kJDeHk3nDDDX61EfKSe5Gl3A/G0NrZ+hxN18AGWxec4CUw4Zgt+pyVWSRywBwfCPzYj6YxRvp63LlFiEBMGPdPPPGEYRBzLlKxLW1bui+ME+U/efJku+aaa4xUPczlXPuLijUEOwQMAoHlCbfddpv/0iZfT8PJZdnCD37wA//xEiKnDWnvQtZhLNDyI488Yvfff7/h7FBw1nnPduLEicZ8IzhRjigWeIBxQhPQwUMPPWQY8Bjm4HH11Vf799mgmws5trM9m74554yPXz399NP+Q3GM72z3RPs1xsc8MlcEINhGlsJG+9guRP9xblFuGAHQPAYAWUIwhmcwEDC4MDjS09MNeQGPwTPf/OY3DXmK4XH33Xf7DxvxcaNvfOMb/uNsd911l8FX8NSDDz7ov86IU/bAAw8YASXkMM9i3PAw26CcHgFoHEMEvHF0Ob7jjjsMIw55RtAWo+30dwdnWwoBZG6fPn3sW9/6ljEX2FMEg1jS/+ijjxp6E77gOllKDM2WenZ7aAcjmgwszir8T6AMer7nnnu8bPnRj35kjz/+uKHP+Fga8oF6rCxDVkW7nKD/OB3IyYcfftgIyLM8FDsF+TpZ9ikFmkLuUheaaw9zHxkDGOBQfvvb3zZsLeYYXY6OgA7YsroOPoJO0DfYath0zzzzjF+mzqsu1KM+S9ex58ATWwgdRXvoGnQYdcGSD4sSPEHHwa8EZ6kL9qwMoF+RPkbrljGgjxkTsuixxx6zJ5980idzwJTX9cB0omxi9gk2RetY6fdx55YDCgIGIxEgOO4ohfEydgQGTluUC40WmTYwABcaY58tSqT+lv22XnBSKfTdubpoOXPNMQINhsf4Y6wU55x3Xp1z/v0EzlEPgeic8180bOtjjvSPvnckfma8zGVEIUXoNoJHsG0YAvAGEV2+MEn2iZUcYEsBU7ZgTGscs4WnKJH9yHnnnP+dQe6pf73+PnW5TsEh4/kW/DUIAbCD5sEN/LgJHeZcnaxD9nEuKK2PAPgjb5kTnuacM/CH1usX6nE9KCcjAG7YYGDGvnMn8APXCIbcRT3kBPU4bi+F8TBOxhPZh144B59Hxsw56rTHwlwzdsbGeAkURfY5j3zjHDTAFizAhy31oR/qU48t59iP1KEe+9zvXJ1NxznapnAPW+qw355KZFyMjcIx2FDAIxrt3NPNT8g5538ewLmOt40A4tyJsXPOuRPHznWs/YaMvyF1nLuwuNFHinN1/WCf4lzdsXOOw+PFOXcSH3DBuRPnOKY4d+Kcc21vnz5SnGt7fXOudfrEeCnO1bXPPsW5umPngq1zDccA7FD0KDsi2vyMCecozp1o59Rj505cc+7k/daq69zJz3Gu/R+DJcW5k8d6unPOOU6fJNucc8FxC2HgwdU/zp0ZU10O8D4DPmBDce4EfhxTnKs7V3/fubpzzjlOtwtc/UCO/eOcO+uYqObc2es4F33XGRfFudP3/XTXOEdx7qv3nO58Q88599X2nIvec4w7Upw78zgiddg6d+Z6zrXta/SfooBGyH8Fk3XmHa2QjSNS0dHGfabxErEh4sU7cGeqEw3nWVJNFoP3+qKhvy3ZR6KYLCVtkTa7dPFL0tt6Wyy/ZNzMe1vva1vvH0uOkYlgyvJilgmzjImlrgG+bYMfmBvova3TUkfoH++Zs/In4I2m8Qa6ihUg0W5zNIfWebcTu4ttc9qJ5nvhIbLS0TyGttp3eItANbq9rfaxJfsFHxGc95lbnAAcm45WYCaMhI427jONF2cfJjjT9Wg6z7zi4EZTn1uir8wf89gSbUVLG4wX4+BCyLFowaih/cTIqI8lmFIaen9QL9VaGwPoHT5v7ecE7Z99LuELAkEdUc+0FG1Ay+hqsGypNqOtHQIkyjIZ22jre0v1Fz5C77RUe0E7J2QXvNWR6Ivx+swt/+Dlsg1Kx0agvdFBextPQ6mzo47bOddQiIJ65w+B4EktjEBH5e8WhrHZzTlXJ2+C+Wg6lAF2J7DryFh05LGfoIDW3esoGEfG+ZUPSrUuvEHrAQJtGwEYgxfs23Yvg94FCJw/BOAJfr6ntX4SgfYp529Ebe1JQX8CBAIEAgQCBAIEAgRaCoGTnFt+X2rVqlW2YsUK43fFOprBwRfa1qxZY/wmIwDz+1f87tPy5cuN34TqSE4Pxiy/FcpvzDF2fgfr888/N36rEmzaY+HrsMz1wYMH283w+P03fqO0I/3sBF/2Xb16tS1dutTa01xeCKJE5uXl5dm8efOM3+tsaQeX3yv84osvjN8bvBDjaw/PRG/zG4X87iN4njomfjeU66eej6rjKOksdhO6Ep15ui4jj6jT0Wyr02FxunPo4G3bthn0ij0WqYPc4dzWrVsNnRbgF0Em2AYINA4BbPt169bZsmXLbMeOHf4XQWgB3sP3W7BggS1ZssTwfeA7rkVjOe7cMmCclxdffNF+9rOf2WuvvWaFhYXROKYm9ZlPYuPM/cM//IM3ihGeGFzvvvuu/fKXv7SXXnrJonmiGwOKc84rkH/+53828Pjss89s0aJF9uyzz/qgR2Paiqa6KM4//OEPnqmjqd9n6isO7Xvvvef5+dChQ2eq1q7Ow8cbN240xv2P//iPftuuBnieB4MhvnDhQiNAgpPb0jJw9+7dhs4hGIHMPc/Di/rH4QB6fvPNAAAQAElEQVSgt2fNmmWffvqpMVfo8sjAuD579mz7xS9+ETkVbFsJgbKyMvvggw/8PMyYMcM7aMijyOMIDD///PP20UcfGfMSOd9S22hvB9lCEO3jjz828COwToIBuUDg5tVXX/VBtjlz5nj7JNrHG/Q/QOB8IwA/4dji3/3mN7+x3//+9z5xB48RZP7Vr35l//qv/2r/83/+T38tmu3G484t0TCi9D/4wQ/s4YcfNoyObYqgnW/wL9TzMAgw5HjxmhfbUT7OOXvwwQfttttu8x8JuVB9O9/PhdC7du1q3bt3t379+tmNN95ot9xyi/HlVL7Ueb7705znMRYyFxgWOHtEp5hrmJwM/Z49e3x2DyNk+PDhxhfluI6iZQsdcA/1MO6pR384D+NTOEd92qNQn/NsyaSQSWTLOSL6HNMv2mmtQvs8n8KH06Dr1npWW2qXeYF2H3vsMZs0aZL/fdW21L9o6wuOE0G+O++8066//nof5YXGoWdoDL5CbrJlbJzDyIfWiQpH6nGM0coWXuEe9pExubm5gbEPeE0oZAIx/Pm5prvuussHIVh9FWkKmUVwkt8rjpwLti2LgHN1796S9YAPrrrqKuNL43/+858N+udp6B5Whc2dO/f4Oc4H5QQCZLzRs+PHj/ey++233/aZJWxT5FDPnj29DALTxYsXn7ix4XtRURPbhDHv3bvXr2hBp9FxtshMrmFzcK49FnQIq1GQbfgh7HOOwj66A9uMsXMOnqMuMi5iW3EeOkF3RepSvyMX55xfeYkseuKJJ+yHP/yhgRMrsqCnPn36+GTW7373O+M6dj8f5opWzI47t3wuesKECYbzAjFkZWX5/WgdWGP7zVf7LrvsMsPQYsL5gh+fp0agMPkYZDBWY9uN1vrOOeMrkBiq2xTkQJkgRHD8o2lMzB/LKz755BNDMbDkggzH+++/b2RpyXgQxSJry5wzPlYsEB3GGGHpxnPPPWczZ840jJWVK1d6AUGGhGw22X4U7759+2z69On21ltv+Sz3G2+8YeDGMud33nnHZ71ZBTBt2jSfTcTpbE0cnXMGT+Pg8QXc1nxWW2obR55PwYM9yo6+dSS+ZbwtVZCD8AXOEkYnNP7b3/7WyD5B++AL/5B1hU9wsqBreODNN980aJ0thgdt/PSnPzX4jwgxmRmu0y4811GCLy01N5F2MPQo6O309HQDfxxarmPEIMMwWqLZSGEs0VDQDSQImAvwxtlFf8JHrCZhnkaNGmXomWgYz/nqo3N1wQH0NM4JAWYClGSYcOTQ26wcIRAGjWOfEjg7X/07X89xzhk8i+3xxz/+0bBZyFZjY0BHnEd+ktHGrsAmbfm+XdgW4RXkF6sECW5gO2GrMX4cXfQNMg17FB0PT73yyite10TsK2iGJAI2GPdj72G7XtiRXfingy1fEh49erTBXwRRsJfwc5xz1qNHD5/Qcs75oMqgQYMsmm3H484tBgaf44YoMFouvfRSP9ALPyXnpwfOOWOinasTtDwVg8s5Z926dfMRcdahc76jFH5uAqFA9IvsZwSPaBo/Y6C/GODsO+cMZxTjHIPjoosu8gYh1zFMGCfRdcbM7+8RTSa4QSQeZUL2CaXLUj/oonfv3n6ZGQKZT/mjdGgHox3hAWa0iUHvnLORI0f651OffrVm4dkdzZByro5/Ecp9FInE6cJoak2c22vb0DEKEUOd36Mk6DN//nzDACUYiDGB80vWEL3BqxsYFmBOUOnyyy83DHwMU9qBH5gX7kfXwBM4BFxrrxi29rjAmQKv8yyMY3Bm7jAKkWVk2jEMeQedutQLSssjgNPlnDPmgkwIutP0B/YEc9A30D7G+fmQ/3p0VP0P7UK34IdMAD/oFSyh6YguQw+DdVQNrgGddc4Z44Q+0FkXX3yxP8ZeQU7CzwSsCZ68/PLLPqvdgGajqgrzTjAURx57nJWD6BOy2ARD4Zthw4b5V8def/11/5ocji60MXbsWAMn9A1OMH4MuouAHzTTYkBEcUPwFroXjNEH2L/YttjGXIP+0OXQGY5wFA/VQvU7TxSECDvLQlii2VEJAkcfXJxzPpN7zTXXWN++fY3oEec7SoHgcRDI6N90002GsEWIRNP4navLQDvn/O/IoRiIVOFksswJxmaLEo2Mi4ggY0ewjhs3zs99//79jYLCJYOFws3JyfHZbQwWFDPGPA4uji0GJZlh55xf1j5kyBAbMGCADRw40HAMECKR57Xm1jnnl+YiuKyD/EGj4M0yTVagtEdD6HxMJTwAb8AHRHqhX6K5GBHQMUYEWRayKchMAkHwF8YH9dAhOLPwBvNAIXNFWxgxBI8YB0YMc8Z+UBqHAMYbgQfkCY4B8oc5gd85x5xxngAbKxjAvXFPCGo3FAF0JbhjN1GwGaBxdAu6olevXj6QynJJrje03fZeL0KTZGbRjWCDTiWTBG1D48gMcIOmExISDDzbGy7ggLwkWEjQHBmLzQH9YJPAx4wbeYt9QWlvGMA/8E1k7Mgv5hvZhX5hVRb0gL7hA2PYcuh69A1b+A06YRUR2F133XXe/uJ8e8OqqePB2cexBePJkyf7ZqA9drCV0Otg2RznlrYudPHOrXPOiIj8/Oc/9x/3INrLS8VEkC50B8/n83FKYCCWfSA4iB7xgQiyDwhXnLzz2Z8L+SyECdEysitkZzB0EaoIlQvZr8Y+2znnl1YQuGE5JRE9MrFkalEYCEgysUT5mHsyTzi+RNpZ7kK2nvETzeI+ttACAhc+gVYQuAhZjMprr73Wf2mO6Bj0hGLCuOcZCA2WU/EcMsMRgdLYMTW0PsoQIU8fGWtrP6+h/WrNevAt2XXmhuw8DhbOVms+s722TQAHekUGsIVmoV3oGHkArUNfLJUjqztx4kQfAERvUAea4zpz4pzz33FgiRgf1CEDjMMFf0X4Cnptr1i21riQRbxKQ3aHJXgEIwgWvPDCC0ZQlu9nEHTD+ONd0CCI0PIzEZGr2AfQMHYD8v6ee+7xmSSycPfee6/dfvvtRmCIgqPb8j2J7hYxqHFckCfIbwLqyA6OoV8SL8gPdC8JmOge7Vd775zz8hN6Qc5ia6C7kb04vDi+yE3kKw4gzv9XW4nuM/ASthhLsbG70CGseCCxxCtWnEevk2Qg8YDegdeoQ130DXWhF14TY2kzshEbLLqRaX7vnXP+I8Fk/Vn2Dj/h82HnUsiAo/PBiiCpc3Wr4Jr/5AvTgndueTTGCmuxb7jhBv/xJLx6okRcu3Dl/D4Zx+3rX/+6kV0ggoSRgLLCceF9XAyJ89ujC/M055z/cAzGEdkvCP3C9KRlnsoSi5tvvtm/g4rjevXVVxsGHx/JIaJ35ZVXGoYJDikGyNSpU/2HxKB/Iqh8UAzHFeHKPWSy+MAWy5KJbt16662GUQnNwEMcY1R+73vfMxQ2z6ANHC0CBGBKuy0zujO34pwzsgl33323/1DWmWu2nyvIMQp8i4Lj9Qqi/+1nhOdvJM45b4zjxJJRAdf777/foHFoesqUKUbkl2sYGtAZhidyg+VOOFL33XefYZjhgD3++OOeDgk2YLjibCFXqQ9vOBfdyvT8zcyJJ2Hwgj18jiwCT4xeZDaGIjWRV8gt9oPSegh07drVfwiJFQrQPMEenDX0inPOnHPGORwzeKn1ehKdLaNjoV9whJ6vuOIKA0tWgyBz0NHQdXsODjjnDNmJDYL9yZiRk+gyeBjeJpj+ta99zbBLo3Omz95r5Bh6Bh4im4+9hP5A12CDoWPYYoNBD9h22FnIQupyHzqLrC06iPpsz/7UjnEVGxXfDszAGbsVXgNHcKLg/3At2hE57tziANxxxx326KOP2kMPPeTL+TDA2xKAODNEW3F80tPTvcOD4XXJJZcYkVYIoy311/elBf9xzvnWMIogdgIdCFGWhkSjMnaubjwY3xjiKAccTwxrvvyKcIS52UepMsc4t2PGjDHGztfiOI8gwEBEWHIvzhLGOAIWRYSwQCgAHsqY+zDgUUooagrKCqUMluxzj3N1/eO+1ijOOR+ogaZ5rnOt+7zWGENj22RuMIrgYfAG+8a2EdSvQwB5h3EFT8AnyEccWLCFpygEhsAZhQjtY6DCI9wHP8FzGBuc58vz8AS8CH+hb7gOH/LKA8+re3Lwb2MQIMiG0zR58mSvp5gr5Bw6jHYwiDH22A9K6yHgnDPkPvwB/aMToGvkEcEg5+q+uUCANaD1unlw7oROcs75X2dAr4IZgQFeG4KusU/BFX2Mo0cioq6F9vMvdhd0wvjhXxw7AvHITM5ja4ABW/R5NNpk55ot5+o+bITNgt2N7kBPIMMiuh37DAzQKTj4JA6oyzJk6oINMpEEA8FV6oPfuZ7dEa7jtOLT4Odh2+ProY/R2SNGjPCv2WGbEiiIVjycq5Mp3rmFqTpiiUzemcbOdaKuKKIz1Wlv5xkzY2LMCE/2OUdhP1oK/aXQ30hhTKeei1xryhZ8aLP+vbSP4uU8W47rX2/tfZ5Hae3ntLX264+ZeSFS29b6GC39qY/lufpMXfBme666zjn/sR14g2L6Y3uu+4Lrtf4nGyI4CDb/f+SYLbKGwj4X688JGEeucT0oJ+PZXDzAO9IG+8getpxjC/7sU5gXCvtBqZsHMKJE8IBWnXOe5jkfwY99sHWu7lqkfnvYMraGjAPaca59jr8hGFAHDBqCFXWhF7YNqd+e64ABq9nONEYwjfAZW+qfqW40nKf/IdZY824g6/o7WuGjBazdP9u4eSeTcrY67eUaX1DjYw6868GYKdE4Nt7Z4J1h3p+t3/+WHg/tUeo/g33ORQrH57Mwf8xjI5/pv7wYrffwPjXviUT6f6Gwjzw/mrd8e4F3lhqjE8C7IWOmXv3CPRyzDcqOBvPgqfQOduBIYZ9y6n79Y64HpeF4nw0rPl7De3/165yKdf1j9in163fkfX7mh3fv0dkRHE7Fp/4x+5RI3faw5dsmfCiL7bnG097GHhkvfMTHjCLHZ9s2BoPG1D3bM6P5Gl9r59svfAj1TOMAJwrXI1v2o7FguzjnLIQXDlFh0HS0woTj3He0cZ9pvAhY6OFM16PpPPPKeKKpzy3R1444bhx6xt26cqzMf+yjJeaoLbcBlkR4Ayzb7nwzR+1FTrdlXmhI39Ax2BEBvzSNX6Dlji67oR34mQBtQ2iuPdaBh6CD9ji2Cz2mCH3Baxe6L+fj+fCR6c8vS3bOnbRcjLR0RyjOOf+Rh44w1oaM0Tln/DWkbluv45zrkHPrXMcbt3Mdb8ytxX/OOURA0/RBKBTcdx4wcC6Yo9ai/8a265zrkHqmsTidqb5zAX5gg9B1znVY+elcQAfQQWsV059zrkPQl3PO+PPOLTv1i3N1F+uf6yj7zn117M599VxHwSMyTuecV+KR4462dc55weCcs+Cv7SPgnOvQ9Nr2Z+irPUSxO+e+eqEdnWmtoTjnAnpvLXAb2a5zrpF3BNUbioBzAbYNxSqoCidB4wAAEABJREFUFyBwNgSca9+8dJJz65w7bsDzgrF1sD/n3PHxm/4wtigs02OrUx3mf+ec8TI+hbGzbIYSjQDQfz5SQWEf2qawzzmKcycYnfNcZ6zOOWMfGuD9bJbOcGxR8sdYKM6dGF+UdL3J3XSubqzOOT93FvydVwSQE5TGPpTlRPBXY+/r6PWdO/GBGXg9ggf7yG8KPysSJXIr0v2o3II5tM/WuRNyCB3DPESKc3XXonKQrdhpcKN5thT2Kc45b5udiq0FfwECAQKNQsA553nJ9FdfJ8BvEfnEFpnlXPTKKe/cOue8EVhQUGDz5s2zDz/80LZs2XIcAOsAf845w3n55JNPjBewmWg+OPX555/b8uXLbd26dce/3tfe4XDOGR95+Oyzz2zWrFl+7F9++aV9/PHH/nx9hmjrWDjnjBfp58yZYwsXLvR0zVyuXr3aePEcel+0aJF/n5Jx8U4A11atWmW8B8LxihUrbO3atbZ582abP3++cY33F5xru4zvnPOZHD4OEBmfc66tT1ez++ecMz5SsmDBAnvvvfds69atHUqONRvAZjTgnDMc1PXr13ueQzmerjnnTtChc3X78OLMmTOND1qd6b7TtdXRzzlXR+9r1qyxL774wuOO7sIJ2LBhg02fPt3efvttmzZtmiHDwcu5OszZD0rLIYD+QN6gH9AXvI/LXGBHoHveeuste+eddwwbAxlF/aY9vX3eBd9je0X0Lx+FBD9wwjaDvrnGx6eg7/aJwsmjcq5j86pzDR+/cw2vezLKHecIfoKvlixZYu+//77XGSRu4DF070cffeT1xbvvvuvtZexf7olGhLxzS8cx5Pfv3+8NQ5w5DHrOO9f+CcY5ZzgrOD0vv/yy4RCABxhgJIMLyokvhyGAwaU9F+fq5hzixzDiq8O8lL5t2zZjG03E7pwzvmaJo8McYmhQ+CI040JZ/upXv7K5c+f64AVKE0MbR5b7MLiXLl3q6YPfCOOrfhjvtNHWcaCPBCiYR4wD5+rmtb3SrnPOByT4mixzN3v2bFu8eLF38p1r32NvjTl1zvmgJ4oPWnfuBIYcc9455/Fln2L6I/sKH2nXBxY4T33nnKFIkSHOnbiPayhcjH6+GEp97g3K2RFwri6YgNOKbEaeEYzFcQJ/HC3kHM4AMgxnl/POubM3HFxtNALOOQP/ZcuWGfYCWK9cudLLIwLFJAuQSxs3bjTqULcj2BINBdK5uoD6ihUrfNAZeoZm0VvIDPAEN+Q6wQOc4LPi19AHt8F6zrnTyl3nnJenyEvn2jcPM0b0AFuKHftjn+LcifFzTF0K+1R1znmsOOfcibrWwf/gpfz8fKMgkz799FNv28JL6F58H7bILniRYLVz0YnfSc5tbm6uXXrppdavXz/Lzs72xIEybO/0EBljenq6pauQkscxIPoKDmPHjvWOD0KVa85F52Q3dB7BIzMz0zp37mzQxMUXX2xDhw61cePGWVJSkmG8NrSttlAvJyfHj6V3797GWEaNGmXsDxo0yC677DLLysoyoupkOBn3yJEj/XUMETIezD+lf//+duONN9pVV13lcQCntjC+0/UBIYbAYmzMmXPO0/Dp6ranc8xJjx497JJLLrEBAwYYc+9cxxh7S84jRgIOJ9kSgp0E/lB08fHx3plFMbKKgcguxjuZw02bNvnMIXSHUcEWRwuHCyfLOedXTsyYMcMbsNyHwYoh261bN0tNTY062dKSmDe2LfBlVQrY9u3b16688kqPK/MA/mPGjLHHH3/cHnjgAS+7L7/88g6j0xuLZXPqO+c8T8AnZGtHjx5tffr0MQKj2BHo0VtuucW+973vef0xYcIE6969u1G3Oc9tT/dCywSNMbqHDRtmF110kRGYhb4JKCNfevbs6fU3Mge5lJCQ0J4g8GNB7hL8AwsSK8hOjsGHcYMDdgmVqYu+Y78ppS3e45zzjj0JBhwskg44W87V8RhBDc5DJ+giMIBGoAdWFhLIc84Zfzhq4EcgiXqc6+gFuxAbd+LEiYbOwL6HtpBFHH/ta1+zb37zm57P0CckdLgnGnEL0WkYBELp1KmTz1qSzUJBQkAoSeq095KYmGiDBw+2tLQ0n13AIcDgIlsLo5HJjTanrjlzBk1A9AgOlu6yvI2IdDQKCeecN5pRCowlsuw+PT3dv1eMw4pC/d3vfmc4uNACChVjBYMbpepc3fI/hCtZfgx9BIJzdYK0OVi3xr3OOcvIyPAOHu/btcYz2lqb0CzBJ4we5prgFI4Tcsy5tjlPbQ3DSH+Q+2RJCO6wVAlH9qc//alfno9jC28Q7MOgeOONN+w3v/mNz5JjlBENJmvI/Rj4ZM9Z5gTv4CTTFluWRmGosKICo4S5cy6Yp8gcnGuLLAZjCjSPIUJAAmOO+YsEdqB/DOSuXbv6JuETvxP80yIIOFdHs6z2wRBMTk427ClkDzqCY/QIWUiCPchjbC3qtkgHorwR55xhayAfwAjbC1rmGIcOmsYGQ59B5+jegwcP+kBNlA/9pO475/yrcawye+mll4xloqw+QkbC48hQ5CT8TB1wAbeTGmkHB+iGX//6194WQ5988MEH/nU4HHsCHtji6BRsNRzY5557zuse+A19g51KG7wCQPYfe48gE/KykfC0u+roBWQPdj3YgBn7DBT+Qm5Ba/AXiRGOo1VfeOeWgTEAhC0ZLSKLRIMxUBDEXG/vhfHDNDiwzjmfmZs0aZKNHz/ewALjgMgGdajb3vFgfAhOHD2InrFjLCEgonH8EaZmLGTjUZ4YHsw3AY0HH3zQyOQ+//zzhjJhnhkr16nH/eCBIf7CCy8YQQ+ug1NbLfAz/XfOtTtDwM7y55zzczllyhQfrMMZa+tzdZbhXJBL8Di8n64AEDqB1QoYGhgVGKBdunTxSy7hA3gFx5TMIAFCDFDoDl5BcQ4cONAozAG8RtaK+1GcZLUwXDHY4C/n6hyFCzLoKHwomFHoOvMAz3MM1swBBjDLYVl1wnXmlbpBaTkEIphC9845HxxHZ0TmgSc55wzHhDmA/pknzgfF/IoiMMTWRM+yTwAZGuYY2YKsADMKdM156rU3/BgzNMK4rr/+er/yCLohmMjSbOQo8pgAIeep51z7kZnOOZ9wILnA6gd0Cs4qeoSgKTzF6jucVV5jgc+wzXv16mW33nqrf60Shxd84Mfhw4f71YfQCgW8OnqBh9C/2EfgRxIAXMEHvkOns+qNoBy8dna82u5V79w657yhgiLE6Id5KHj40Ty4xsDOxDLRRAopjBtHaMSIEf49U4yyIUOGeJwa02601oUBiJAiIKAFluXi/EWYIJrGxbxSmEOWrLLsGMOdLC5jRFAy19/61rf8crHXX3/diFwxZgQnBj3GN8zOuPnwGtHlto4FNM344GuElnPtRwkyD6cW55zP0DNm5hrliNJDjoHFqfWD4zMjAF7wPkuY0AmsXsAox8iE7lGAGJ3s46BSUIhsMdDgN3iHdmhj9OjRftkxbXEP/MayZBxb6uMwM28Ydtxz5p4FVyIIoKMIPlDI1mLsQvdkCcn6gCWYcg25F+AaQa51tuhHWsYYB3Nef4EP0CXQOMsrmROCq9QLygkEwAVZjV4GL7AiUIaswB5jFR0ODoEaZBDyiHtOtBD9e/AnDj4yFJ2F3AQP5ChjRd6yxTaDnqhPif6RnzwCdAMFe4stcg45Ri3nnF/OHxk/sg6cwItMI3WgF+pTh2W3rMqDjrjW0Qu0Az7odhJW8BzYwVvYwWDNProe/KkfrZiFnHM+q8NyGZagkcpneQ2CpU+fPp6Q7Dz8XchHOOd89BDjABzIUGBskZ7nK7v07dprrzUETXsUJozv1IJyZvwsW4AeUNKMH4Fxat22fMx8Yegxryy1x1Elo4RjS3SPc3yQhSVQGB0PP/ywwfCMF6F4//33G8s3WAbElrbgC7LYtN1Wx848IeChacbGKoz2LuCJ5mMYsYSewtIk3hVHiEezkL4QNAZtQy/IAJZ/8U46BibBPiLjyEhkBLIBGYGTyrIxnF5ojWBQJMLOR/p4zxbliWGK8mR5GcuaoU14in3mjvsw5pxr34GYlphTDF3kEMFHluGz/I5955y9+OKLPosBT2AUU1rimUEbX0UAXqHwnj9GI/oFPuB1FzJu0D76hDuhf/iK/aCcQABaJjiADuY9ST5mQ2YJ+UCGjmvso7MxxgmWod9OtBD9e87VLUtGnmKvIBMjspTx81oBspj3S3knGcfNuTrbNfpHXzcC+IiVkugI5ptXJAlooBPI4nIeekCf804oiQbqYedAN9SFlkhggBXLu+HHjhDcr0PwzP8654xEB/i9+eabfoUi/EZQgNWIyCr0BbYjcsq56NbBIYgJQiH6AfFgkLAcF+ZBCHP9zHC1jyuMkYLx9g//8A929913GxE0DAKydywPIZJBVOMCjvi8PRosmPtvfOMb9uMf//j4kkLo5Lx1ooUexFhQAt/5znfsscce8x+qgLYfeOABu/fee/2HVphfFCYCkOUajz76qE2ePNkHM9g+9dRTvh6GJPfcd999RgaqLePBuIEQnv77v/97Y3lOxMDifHss8CeRXj6WgPFzzTXX+A8jQMvtcbznY0zQOYFOliXzsQk+NsiH5fhQEfIB3oCX/vZv/9Ywvgj8PP3003b11VcbvMT1r3/96/4YHcP9nKM97mO1xDPPPGO8FvBf/st/sSuuuMJ/nCdCv+djjNH8DIwRaB1DD17nlSICOrfddpv/fgQBST4shbESYNp6Mw222AwEwbGfrrvuOv/BFuYDmkZX4KAQHKIupfV6E50tY1SDHXQMftAx2W/kOPtTp071r4lxnYwdmEbnSE/fa2giISHB7rjjDv/xMezRhx56yCjYn3fddZdNmTLF4Gc+UIbN0h4xQEdgd8JL+CM/+tGP/AdN4R1sc2jihhtu8LqdDP53v/tdoy4rh/7mb/7G4DleJ/y7v/s7u/322z3NgBX4nh75jnGW8bPiEP0NDYERH1RFZ4MTNiI8yDVWA0U7bfllyQwawUzGCgJhWURHVIYYAmCAUcYkc4xjxESDUcdggbpRImTJAkAPjB886q605X9P3zeW6iEwmVuiVBSUBUv1EI6MEWXJHOMgEc3iunPOf+iCOmT/qE/BgWrreDAW5+o+KsW4GV+0C6vTz+6Js4wZOcZ8IbA7qhw7gUjT95xz/icCWMFCkA8sKQQK4B/wRTbCOxhh0BiKkwKP4MjydOpglHCOdpCp3At/MU/cB29F9pE1zkV3xJhxn68CzaOrwRlcwR9DjndskeE4v9Egr84XXq35HDJG6BpomkCPc87/6gS075zzAVGut2Yforlt9BO0C35gFqFdZANyHZnBNTCE7qN5rGfqO2MmiM74WRaKbI3Yo8hGzmOfcM259pW1jWDC2LA90TPILuYfuQY24AEdgEVEn3Ad3YSNAz4EZJGJBGVZfQde2GvtlWYiuDVkC4bIJvQ2mIE1vOcdarEAABAASURBVIV9zLFzdTYj2MKPDWmzrdY57twimMnsMCC2HLPfngvETomMkTGz/IHlLvXPgQdOT+Rce92CBYTK+Nhn3OARjWOn/xTGQiErS2GOGRdzzHGkTmRLXa5Hxkx96nIebLiHErnO+bZUGAcl0ifGwhyy9eePHvUfPIlcbw9bxkVhLMwLc8Y+Y47scxyUc889OEYK78TizKIQWZ4coXswBVuOIwUa4zyFfa4zF1xnn8Ix1+ufYz9SeBeIesE8nX2emB9kUQQnMD21gCl4U4drbINydlybgg9zQeFettAvuNffss91zlPYD0rdXIAZJYIHWIFR/S370DA0TT2O2banEuFnxs44kaHsY3tQ2Oc8OFDAgHPtBQNogMJ4GB/jZ7yMk33OUTjHlvNsKVyPnGc/cg3cuM4x7XbkAn2BLzQTwSOCDeci+IERx2yjtTBOxquARsjw3ol2UIicse0IhYgFEYqOMNaGjJFIvwjC2gMNMK9E7841bsZKaal652qnta/jiDCPrf2cttQ+2UDGXb9PDZnT+vXr73fkfSLkOLTQEBlVlhCzHJnMYH090ZExutBjh96R0xe6H8HzU/zrS9gRARYpPjPdWByQM+jq+vK6/v6p7Z3t2ql1o+UYueqcO8kOj5a+t1Q/4aFTdXhz24ZWKM1tJ9rvBwPnnP8FmMhYOBfZb29bbJjjzi1paoyXjlaYYIRrRxv3mcbLUkIUDcs+zlQnGs7TfwxAli9FQ39bso8oCeaxJdts622xfIlABvPe1vva1vvHEi54h6Vw9JVlXmxPKf7nFYJzuRcEB+gdPg/wvzD418cdHcNyyED2NG0u0FU4dyw3rY9rR9pH1mJ3se1I464/VhyswBZvGg/Vx/F0+/h3BKzR7ae73t7OMV6yt8eXJePpdrQCAB1tzGcbb3vDo72N52xzV/9aRx13fQyC/aYjENBP07E7cWfr7QXz03rYNrZl5oLS2PuC+icQCPCrw6Ij49CRx143+63/b0fBODJO79y2PqzBEwIEAgQCBAIEAgQCBAIEjiEQbDo8AhFDtMMDEQDw/7N3H+B2HeW98N/Xz5cbkwARsXEBF7l3W+7dltx7A3dcMM0YMMWkQBoJT3pyQxIgdBtMMe69F7l3W+69YYMxGGMg5OaS3CeffrNZ0tbxkXSOtI/OXnvPeTRabdasef/z9pm1dkWgItBTBGpw21M4B7cxRkgZXAoXTJmX8P2Gmg8WLLhmvdoPCAwzr042/s2HKMbbDx+t8hGQ8d63oPo///nPw2+O+n2/0eqRax/O0mdfhp5fvdHu7adz+l95vj9GpI7F4o3DgvDzEZzFa73eXRFoKwK97zebQd66W/ZBKee7z7Vx/zXBra9mXXfddXHzzTcHIttI1KL0mZNzySWXxKc//en4x3/8x3jmmWfCABv4e+65J1yDzaK03cZ7BHL/9E//VPC49NJL44ILLoi//uu/jhdffLFV5ODhhx56KP7hH/4hvvCFLwTeRs+5554b9913X/zLv/xLOf/yyy8Xun7605/GeeedF2effXb4eutLL70U3/zmN+PKK6+MRx55JL761a+WaxzickOf/od30fKlL30p/uzP/izOPPPMGIbAHN1PPPFEGVO/j3f99df36QgNZrcEk1dddVU8+uijYyaQjr333nvj7/7u7+Lxxx8f831jqfjkk0/G6aefHrYj65OHs846K+iD559/Pv75n/852sYv+B1mF198caDlgQceKF9DRytc6bJPfepTQQ84V8vEIcDW3HjjjcV+GA/8ZXwU/Ie/jMUNN9wwVL7VWBGHHz1w4YUXBvvMB8HD8GOH8Tc/7M4774xeJ8HG2sdaryLQdgReeOGF4Nv7TeCvfe1r8eqrrxaSxEC33357XHTRRUX+XnnllSB75WJb/uvq5zzBLeXy3HPPxbe+9a0QEFAsXXUHdhfdzz77bHEKNt544zCogiAK9Cc/+UkJDG699dahMkhe7uc0PfbYY+F31/yGoq2vdLaJETIzMjMefvjhEOx52dzHP3zEwkeIlO985zuF5wm5Dzv40Bg6f/jDH8YXv/jF+MUvfhF+X89vg6277rrhmlmefsbBDJRgHL0+CnTHHXcEx6Gf+9yLvlHQ5Nlv3Bk3gW4v2h3GNuCIjyRyJHq6MeC4m2llI9Rz3bnMDPzm9wnVd839xsWx9r7//e8X59S9rkka+qDIU089FT/60Y9Ue00xY0PmjCm97Fnk1XmVtSGwbo6ds0/Om7ruU895/SXHjDfd70ud9IN99+ov+mwd92tB8/33319sk997lIhtaICPj0/5kIhkA7z7lY5B6Bfc2Rm/wYnnBGl4Fs/how022KA4i+qRi0GguZc0kH28zPdglwWyks4wnDVrVrDH7BmfhH/ay2f3U1vkFP/QP/QjHaV/tvQnPOw7N6iFvKAVBvYbOskSG0CHN+fsq0t/u96cp+/hV2WtQaSzhQm8ttxyy6CTyJsrP/jBD4qfzP9lDy+//PISC7nWxjJPcEu5mLHkaPgaY2a2kaZx95mT4weMp0+fHrvttlusvPLKJSCiRAQIBp+yHXfDLb4BD/iKmq8Y+oofflhvvfXKzwS1iSxj64uMAtrG0ePw+sKlnzrZYYcdwrjLWH33u98t477JJpsEIypDLCjccccdY8MNNww4qI9HKIB+NjDGa4011oi99tortt122/IzA92Kv01jOJ6+Usqrrrpq4FvjTq6rcRsPgnPrCo4YODObZjQ5npwuAdXdd98dV1xxRUiGcuhle8mKIMosKKeEfDz44INx9dVXx2233VZWDkiwfP3rXw/13CuJ6Bx9Y6wyX2tzOCmed9lll8U111xTZlfJpuBBO5511113leeoJ3Dl6OivZ+AJRcaak8yIe6bZNHyy9NJLF71GR6iHRjRxrjnS3c7VXHT6Y89KGvSstdZasdVWW4XZLnTpnZ9E4LxINKCtn+nQ37aWzA7PsiGZGRLkdC/54Ej6UqnksOQoPjcebaV1IvtN5sgynt1ss83illtuCbwtwKVH+B9sMzvmeCL7MhltZ2ZJUpFfK8XoRjxk1lrA+/TTTwe9J7AX6Ds3Gf2cyGeyGWTG6oZrr722rKqhs+ku5622cwwjx4I0tmXmzJllxhE+9L8AGP+wF/By/0T2u01tw5iNgwlf2ISO/pMp5xv5u+mmm+abbFa/38uc4FYgRzkLcGWAMQ5C+52AXvQvM4PBYXgoUgp20003LQ6Y4NZMBEaAUS+e15Y2ML331ShZyhY2gsVO/9vzf2aG7B4lRwlytmXP0ULQBbeHHXZYCG4VlHHgOcdmPQTFmVlmfjnwZkc4lf0cNAluBeOZGWi1v8UWWyBtoIvgBIGMvxlCClqA41wt40OAvoMfOZD0/MQnPhGWXQoozbKSgfPPPz+sfDj11FPLqxyCK/LBKRVMui7YtVQZH9o3Hq5xRLTBCbFKhL4ZrYf0jmX1HBU2iYyqzzALvAW5HCFBsACYzj7nnHPKqzUcYatvMjMEGXSZwFf/3Kc9esBzOYv20cbRtoKHrtBH1/uxsNMcOfKu782xvgraHcOaU4h2+s61WnqHQGaWpCh9g4fwsbHAY/wGOklxTI688qVu73rQ7pYysxDA9ySPeNlkAh3uWABDB0gow9E5ibdy0wD9l5nB7/BKFP3lZ6b4LPiFHyYpyI+hx7785S8HTAaI/EIK+fFqhSX87IVjS/zRSn9ZQWkVHUy8ciHIhQW5MmEhIek+19kCMsc2wLU8oP4XfupPslPi1usqbCmc2W72kvwpkipkra2QLaXjmVneSZItYdgx0PXXXx8yRa4PQ2H0KUwCJNihWAgKR4zzpcgYDQMW3TTKOM+YMSOOPPLIsoSB0e6+3oZ9Y8vhkJHaddddy2zmaqutFgSZUDOk++yzTxx33HHlvTXvFzMilmFzjClGbUh+cNy9p8AQZ3aM8nwxmOQLaBOIcH4POOCAoLAmuUtL5PGU9/bbbx8f/ehHS0AjoFoiDx6wh0yZMiUs75YUOfroo0sCUNAnqDRTKEjkvJtRsbLhkEMOiW222SYkg/Aee0JfWP4kecSgckzMrFveb3bLbC3HhRHltKk/EkYz8GuvvXaY+dpll13CPr209957l8yygFvyZtq0aXHEEUcEPc6O4QGzmZK1+sM51l/PQZtg2LM8MzPL6wb2OUnoJvMMvHuiT//MzhoPiTY0cv7xv77rMtrf8Y53xOabbx6S1+o4X0vvEIC1IhEKf2OBt/AYXvMkupccvfvd7w62qJ8TJvo7GcUEg4QM2yugJYdss3OwhKlrmRn4fjL6OJHPJJto5qfQk9ttt13RdfSZpLoZyalTpwZ9yKYJeCeyP5PRNvlhF/hncKC34MLf4oNbaUPX09OSrniGLdpoo42C356ZIXEkcUqHswF8u0Hkl0UdH7z1rne9K97znvcEWyy4pbNgSU+RMYltvOh4UZ8z2feV4JZiXn311eNDH/pQnHDCCWHWkiJG+GR3cEk8n/BQFJ/73OfKR4QMrOyRYOekk04KS1EJj7Ik+tMPz+DQyfoL7DA+w03htI3Z8bbxNBuPHkaTc8GhlrwwO2Nmg+HkgAsCnWc8BMIMidkhWS5YMLaUgMCXgu2HsRqtD+ixXMcsF2fXzA2FP1rdyTzX62dzACTlZGw5BQzfsOixXmNJTjKzvHfDuRC0CpbIkFlUfEW28JpEET1hn0yRNTqD3MkIk5vMLMkGyRayZGmwkpnlQ3XGy33GTkaeXkaTdpvneLYxFgyrrx3Or3vUoZ8c019mPQQR2nSf4FY/yTJ9717Bq/7oMxrVVczYeoZno6Hpi/70U4ExXYQey8o4f/STRKz3zc1oSNBJ1u60004lgO+n/g9CX9gYdPCb8AlnET/uvvvuJdHCCTcW7AzepZO88uOeWqK8hwwHSSsyKjElKSswycyy1J5/SifAVjJnEH2xzCzffcEjdJlCN9E/5Jw+5pfQVXASfMBtkApZorsbDOht9Au42B66jBypIzEqGFZXgRWdTsfDhu5znk0gl4OE06LSAkc20ew2nPCVwF/S2uQNm07+rH4if64v6rMm+74S3OoEYRG8MI6yJd55oERcG/SC8WV7ODUcMUEBp4cwMULeoTEjwUEYdCzQl5lBqXjvVHDHieTkUSSZ/T1bqf/dhbIkxPiacSDUZuONMxopTgoRjZziQw89NA466KDyzqYM4kc+8pGy5IzjSOg56TvvvHN5/zazf7HgmHOoBBscBYEt5d+NzSDuG1OJKQ4lw7b11luXd+hbTOukdZ28c7DwkUDRTIKZULgygoIoMkOuZNPJEPzZDQaTzjTTIIAVbJFDDokgmQzSKfbpVfwqo6xdY3faaacFfYx4z9MeGebYMcJmxAR0nN4999yzzIZZdcNIa8d75hxhxb3qc3IEFp6t7cZwCw7pAbNDznmGuujjJJEhNkJf+q3Qz+yTcSLnAix4mqWls7yDzBmEk/HL7F8XtKJDAAAQAElEQVSd1W/Yjrc/zWoEvoTE53777ReW1hoL/E8OjJOJA37FeNsf9Pr8LatA2Ga6xIwbncFmT5s2rSynFLDwU60UGUQ80Evv4g96iG6lMwXz9KmkPGzwFj03aBjw1+hm9MOB7rXih12wUofuxw9oP/DAA0OQy4bAwUoi9zk2i8u+mO3lt2lXnWEv8IIHXCR5vXLJz+UfsuXkj84yBnvttVdZhdVWzOYEtw0BnADLUDnw9pvzg7xFJ4PzyU9+sixl/OAHPxiW4RnszAwfMSBIHJ5BxqGhjSLgEB5//PHhPbv111+/zLg019u0zczg2J188slhKYYlksb68MMPL0sYLXMU0HJqM7MIsyXYPhplvDmO733ve0MWnvPivn333bd8oKmfcWAE0PWnf/qn8YEPfCBOOeWUsmynn/vci75x9o2dcTXzTlkzkr1oe9ja4KBzFCQ7YSrpw9EQOJ544olhuStdacXDhz/84ZJEmDp1alh6yX4IDK0EkiAiM4JF19///veHgPSYY44JsqUNbX3sYx8L2WLOHNmTZYa5Phx77LFB9sijZ0+fPj0kYK022mOPPYJ8e65+6uP+++8ffuqAE4j/fRQuM4NMWI5FF7j3iCOOKHrAEjj1LK2mI/SLDdB39LMR+tJvBW/jcXiila0yAwZPzoliLAS2EnP91v9B6g98zY7DfI899gg2hawcddRRgf/xJj60XLJf+Wkyx0MgR/YaXhbATJs2LcgyG37wwQcHnS7Ik0CbzL5O1LP5Xeil46w4ovPoVzoQX+EjPEWm+acT1Y/JapfNEWz5GT82nK9GT9Np8KCfraR0zTkJEViJWehBddkFyQ/+PPuj/qDyy3jHCc9I+Itn2AT6SLKIzwtrto7uwoMSBezLeJ/RL/VLcJuZZWmIoEahZBT7g1wMQmaHdvSavW6KTJHr6GeIGK7m2LlBLJlzs/rwoGgpBfttol1flcwOPfqPFmPKaVbsE3TjzQk3vsbUfa6jOzPLrK266pgRse+6eur3W9EvJTNLpht9TdHvfutvr/qDZm1ldt7HMn7oZSydr+V/5tHxC8KjwdJsptlRy3XNXMIzM8ssaSNPcCZHjmHNGDYy4hn2JVpsM7Msi1XXPc4pjput+wXBXg8wk6qNzAz1FbpYfX1p5No5/SCf5Diz00fPdQ/+V19brqurDcV1RRuOXdeu/jivrmP39kuJX/81/YG7/uo//BT91n8YuPb//X//35jHv2m3bhcuM5kdG9FghVca7A0TvjMuxoANcWy8mvrDvs3s4AcrWDS8Cy/n4GkfZviZLJNVdQeloLO70EFohgWaHbveYOHYtUGhHx3os1XQRmbICprtO5fZsQPodz4ziz2Blbr4Ql1b/IJXGpmL2X/aHsYym/TyLzPLFlZsLHsJR1jBzT6c6S+YqtxGvDI7dC7FabHMwZT+sBVLHpRho3t+9FqKYCnH/K635bzlPJb3WALWlj73qp9muywN7VV7bWgH36K7DX3t9z5aum7pksDW8kCvJpg18K7Tkui755t9nzp7BnhY7dLCcK78/tPy5fqF4TTe64tSn42xbL7y6qKNCV72SsIw40fX8ruGGQM8UG34osnQwvQWvhLn4bOF1R2E6+jNzCjBrWDAWv5hK4ySIGjY6J4fvRxLCoYjO786bTiv/5IWgrw29LeXfTR+xrGXbfZ7W96ZFpAZ937va7/3j2GgExm5zAzLLL3H6dyS6rugWllSz2vbc/A7OW9bvwexv4JbZRBpG4Wm8vMzvTzPVrHVw6y76domuO0ltm1qiy/Ohrepz23pq/gOfwlu29LnxekneYrZf2VZ8uxt/VcRqAhUBCoCFYF5EMjsLPGZ5+QSOLAcagk8pj6iIlARqAj0EIHaVEWgItAPCNTgth9GofahIlARqAj0IQI1yOzDQaldqghUBCoCbUWg9rsisAQQmCe4zex8iMOLxV4yXgLP76tHeJnay+hKZpaPCTkHC6WvOjvBncnM8oVkvNBgYDvBj52Q5jOzfATHuKKhKcbUOSUz5zy7ue5EZhYcMrP8Bl1mhuvRkj80tqm/vYQV3ejvZZu1rYpAvyGQmeXDKnhdia4/uo0Ot+06XXcnCAH4K3RP9yOcMw6K/e5rdX8uArDJzGJjM+fa5My559SJ+lcRGGAEJpK0zJwjX6Ppqcy516PFf3OC28wML3X7DSm/Dei3jqzTzpyrYFpM50K7nplhbbrfdHz++efDO01ewrb2+6WXXgrvhmQODxbesfvBD34Qvpbq/bcXX3wxYOP9mLYZF+9E+a1HNBhjY4omH7Nw3tdgzVBlZvndNMeuO4dxHLsXFn4jzDW8kdnf/JCZhW+NI37O7O/+wrpXhdI2zt6/yBweunuFX9NOZpYkX3O8sG3m+OovrL16fcEIZGbQyew1OffuWrd+dp7efvrpp4t9X3Br9eriIAB370OzFXSP48yOPLBBfqPVb0sak2HTx2PBFV6+kwEfPhcb61xmBl/UOdiy286Ppc1apyJQEZiLQGaW2IYsiXO8695cJVNkq5E//q9zzfU+2y60OyW4zczweegnn3wyPv/5z8eXv/zluP322wsImbnQRtpeIbMTBFx55ZXxzW9+M774xS/GQw89FAb5sssui5tuuqkUL2RnDgceaP3Xf/3X+Ju/+Zu4+eab44477ohvfetbJQHQplmAzAx8/ZnPfCZOPfXUuOuuu+KWW26Jq666Kh555JE47bTT4h//8R9D0EoGJDGuueaaMO4M7aOPPhrf/e5349577y2045GLL744ODGZ/csLmZ1AfebMmYXGfu9vL3UIhczJN7boN1uS2b9j1Uvae9lW5lzMMrPMDkoaKPHrP1g7ts2cW9+xkpnlvmZfXfrD1rlmG/VvkRDggDz88MNxww03lHLPPfeExCRcNXjOOefEZz/72TjvvPNCgAVz52vpLQKZnZU9zThcffXVxX/wFPpHUPu5z30uvvKVrwyVb4X+sZbMLH7GjTfeWOyzhIwAFy9zxC+66KK47bbbCn5s86DycmaWmTV6Usns6NXMzvlBpTu6/tCIdsV+c8k+fsjsYOJ8c05d15xT7CuuO64lys/B8WnPP//8uPXWW4MvawIARmSNfIl3+LnPPvvsnNWKbcRuKZ1mIJXMDF/G/OAHPxi77757+W1BBKszqCVn04xGWe911103TjrppFhrrbXizjvvLAEuh2DttdcOyvS5554rS1QHFYuGLrzgJ0D8FtZyyy0XO+ywQ0yfPj323HPPeMMb3lCyqE3dft9mZrz1rW8Nv+m12mqrxXbbbVdomTZtWjj2NVgzsmeeeWaYxX3zm98cm2++eeAFWeKvfvWrseaaa8aMGTNis802i0MOOSQ22WSTvhd6YyigNYOAv42Tc7aDXDKzJOUeeOCBkpSRicycawgHmfZe05aZRSY4mQImhSGUAPIsBtFqH9lf+jFzbn116E73GAP1zFZJmqmPN13Dn+7VXi3jQ4DjBj9OyNSpU2PXXXcN+1ZeZXaCrRVWWCGOO+64OP7448NPLDW6YHxPqrUXhEBmltUNDz74YFkps8UWW8TKK68cgjG8T04UvtXJJ58cu+22W/gdyToWc1EVmNAzZpQ22GCD2HjjjUOCwDH9YLIB/2677bYlsSzZ7PdO57YwGHuZWfwr+tEKMSvNzFpnds7Tn3RrZofnBoPqeanIzJCcZmusmrPf1LDvPNtB/2VmWZHiK/8Nr2RmqU721LWyJbNzrlwY0v8yM2BCT/n9X74vHUS2TOxY4cM282/JoEkePAjnNkJWgtvMLMqZ88EwIkqm0XFmtpGuMfeZw5+Zseqqq4YBFdA595a3vCXsy4pfeumlQamstNJKJagZc+Mtroih/bAz5udAyfZQsowQfNpEmsw5Q8hIEl5JCkbDGC+//PKxzz77lFmNr3/960FBLrvsssXA3H333cVZ2WijjYIy8Kl6TomgeOmlly5BVGb/yofEhID89a9/fZHvNo3Z4vTV+NJdklScysz+HaPFoXMi7yX/nIJrr722OOkSQLK6Vjw4x+kgQ2ZZrr/++iArDCfbcckll4TkglksCSM61L333XdfnH322cVpvfDCC8sKCjPrVobQr8ZqImkatLaNEX2mcPwFVJxiOgyWmRnGyTjI0ks2ZFZZmCg+4CSyjWyK8bj//vvLknFjwXbwqQRsto4z61g0Y4GXBbdstATziiuuGHxR/CyYk7Rxjm0W2JjJZdeb+wdhm5nFpxC4W2lhBo0uRTt7ZlUGPcsXs+rMObw1CLQ3NGRm+bmpCy64oNiJK664oiSpyYtAix1BO/tiZaWgVh125/LLLw+2iB1Sl6yxVyaq8ExmlTc4Z2ZZ3YN3yB0Z49dbvcjmd8sfLDPbiVsJbhEscOEMb7311uW9Qw4Mx2TQFAhaRyuCFtmLWbNmlY8Pmb0T0CyzzDJlOSqHgSBhiNHuH7RzjDTGZ2zMagtwnctsH6PrtyDd+KGFYSS0xpuBEAQdccQR8f3vfz8EuGg102TMzVQL8rUBC0uaKVFtaDOz4NGXw2/8BOGZORTBLQXNmecUCMaMGYXNCNrvy0Hq804xdnQe2fCqin3Zc6saBKYcDckeupINITf4zrFgVtCamSXYNRZeEeCgGh+vCFgVIxmhDIut6dWQZ3acYTrMuGjXeHEE8XtmllUmggJjR3c159WtpTcIZGZpiH2wYyzYBse2ioDXCihONrkhT/SV+rVEsU90Bx0Cv5j9JxnjWMHXjX6AoePZVQbuH9okSSRANtxwwzKD6ViCEN9ImvBJJQf5Mpkd3hskIASmbDiaTDrxyfli6Gd3rKqTCPHqGHsveKXXzPZLKHm3na5jU/h42sNbmYOHFYzGWmD027/928Um8AslScjYlClTShMwoqsyOzi5RvYyO8elUov+K8EtohExderUOPjgg2PfffcNDj2m4Ki0iJ5F6mpmlvfCZAplwffYY4/yzgOFQpA+9rGPlWWtnDEKNrOdgx3j+GNgjL3Z6q222qosSV5//fULLvhlHE1NelW0mLm1vNiyJsurV1999aD80MjJMMP53ve+NyjGM844oyxDV58Top5xt8RPlsv7x4wQxUkZTDqBC+hAZhbe1v+Y1L+Jf7hxNi5oVcwsSmjI/E/80wfrCfjajD+n3IwgDDM7r61Ymi8RSj9a7m+JP7nidDm/yiqrlFcBtEFG1JEkoks5K5ZnNqtkbBlcATNZHCwUJ5Ya+MLOOAlwYShJC2+yQAZ22WWX8iqFMZKIcE/m4NuviUV+3tYbe2glEB6mgziKjjmRmVlebeFb7bfffmG86CZ2Z96WhvcIX0p6wUtyhmNtBglWeJxucQ6f42ur6twzSIjhI7RK+HmVassttywrCuHBB0EvnoIT/rHk1rnMwZHnzM4qSrEIH41fxoZIFAlo8QEM+HMwccxPW2ONNcorZ/QfH81sN1tj6S1/Xn34DhK/LAotmVlWqL797W8PZWtG8gAAEABJREFU/ANXkzuZGWw9rMmY8+SPPLYVtxLcZmZZlinb4UViQR4nhYAhdFFAbNM9Bs8sw7/927+VLwKbtZYZo1gJCqEy8ARuGPAwdpxZyQ0zLWYpMzMoEoYFXuq0pUhYyHKixfsGZpCapT8UJKdPZpAx8X6agNaxoN4MvqVBlrtQmAwsuRDo9jP9mZ1ZHasv8K8x5Hj1c58Xt2+cSsmYo446KszEM46y34xfZgscgMUFoMf3C5Bg6l0cupAcWf5Fdjhc3s2RKbeEju3g0DuvPsMpYWrZsmXHZMd5ciiBZN8KCbLoWNvuzazjNNZhhC87rZjpue666+Y4KOyXJYzGy8yGcdxmm21Koqtt+nuseExWvQZPtsKYSH7iaU41X8prTWai+Fb4ntNoNh2/T1af++25/CrJL3rGTJ0luDvuuGPQC/jX6hBY2heomKUbxNlbOpSupCcb3WjlEfoFHmSarOMfck9HN/zXb2O6qP0xG2tlD9+Fz2YLF/YGNnjAyrv11luvTEI4x7+BS1NXQpbdYZe0Qf9lVttiTMQ05AuGfFw+PRsuUWJS0zU2nvxJpNBp7mtbKcFt02nKVkZIRlHGhAA511wfxG1mli+IURI+BGEwDbJAFgayGo4JEoUKj0FTJqONK8OB/u233758RAuDw6FttOuzseXYGUP9pygF6oIfmVL76DXzQdhPOOGEEBQ5L9g10ySoFeyblfJxKbMj2h4Nu345h1cZQEqKQ4D2funbRPUDjQp+xbtk1r5zE/XMQWwXXnCzWkOhB31kkIMl8cUI7rzzzuVjcxwHxT3kZp111imvdvjAkSQQHqRbJYWMiey6GVuyRjbpGfoWvy4My3p9LgL0j2AAj7NbsKSr4G3sjIexoruMn+Ars2Pv5rZS93qBgLEwo8QBN9shyYbn+VLGgn0RqEkwmkWXLBfQ9eLZg9AG/Cy5hY1VHmyvV+ToGRjSF/QKHqeP2OFB0xeZHdkUyNKT5NYsLp7iq/gQGTzoYCsAJEngNgjj39CAHuM9ffr0IEP2+S/0m4+B4gN+mu+gsC/8GnZEXTJmppYtUZdeNANJ/rRDHzbPGeYtW63A0IorWJAl/ITX8Bj9BFf7xkSdtpUS3Bp0RJi54rhTyhikbcQsSn/Rnpkh8DnyyCPLjM/hhx9evjxJ2XpPxiBTqIyW+ovynDbdg0b8QHkceuihgRcYZefbREfTV041YyCTbpwpSMv1OOcca1vGtBFiTiAjy5AS+L322isoAQ4ipcuBZGD6GQ9903+0Wg7HOFLyDSaDvEU7ZW3MKOvqRC7aaDOA5AX/c9zJjBlx8kIuOKEHHHBAHHjggcFm0BHqW/ZP5iSUXHe/V10ck0FOqnNsDb7ce++9y1IpvTR2trWMDQE6SwKBzuLQrbLKKmVJOHzxPmdPkNDos4rv2HBdlFp0Dv6HN3mQxOFAkhu8T26ME3uaWWeRRmIMP4Edf4vulkBmcwV67LNzfFTnMgcPP7IpWMMr5NfkEp4R3OElwRoMJBCtRqJv3TMSx7Yfsx1efaGzzObvv//+JdDFD+in18gV/1wizwdB1cU7/DxLlGHHn2ebXBsW330sY89ukyP8lJnhnVs2G0/RTa7BWeKUfRlLm/1YpwS3OkZIOMOCmn533PV3IgoMmmJQ7XtOo0SaY+cGveAFJTPLUrbM9hoTdCiZWT5cEbP/jGVmlt93pviazF5z3vHsauXr2M4xOgxMZie76lobir43pQ397WUfjSHZ7WWbw9gW2UE3nWgJk+OGp+yTjcxUpRTn7KiTmUXm7I8s2us+555axo8ADPG6Yl8LzRiw5fSbc7U0CEzsFubwNxaZWeynY6uEXHM+6t+oCMCmW8eoBDvnMzv22rlBLmhV0GhLT9q3Zc8y2+WD6Pt4C7oV99k2JTPLSsLmuPt6977r+Ia8OV/LXATwkAKj5iysFOdg1uw319u4XSqz43xkdrYNEZmd48zB3aI1cy59jpuSOfd85vDsoz9zLr0jjzPnXsvs3/3x9HssddVRMvuX5szUxRJMZOacrZOZc48zB29/GGjMXDLjNh4s1VUyx9a3pm6zzUy7c3g1M+v+GDAAWmbFKnPyMRg5Fo6VzHn75pySOe/5zD48nsQ+LQijBV3LbC+Og0pX5tjGZCT93cfd+5mvba/7+sj97uPM196bORzn4KBkLpzesdbLXHhbmZNTBw2zA/SlwrImSwGGrZh2Nxs3bHTPj17LPGRNLUGcX522nLcCwTKWtvS3V/2UdfMlyV6114Z2LFkzezgIfDvZeFtuvPTSS5cPE012X+rz31qWGI/EAb+T85Hn6/HoeE0kLn7ySqm6Z9Gw53Ow1ZaRTuQ4TUTbvWrT+438Lttetdm2diyVrTpt0WRoYWNNtqzqGRb+QqcZ6DJzK8CjYIatGHDT88NG9/zopVxmZzui7fyg/8aVwZgfrYN6Ht0CvUGlbzS60ItvR7tWz/1W+Vm3seIgsKUXydBY76n1xofx4uJV+X3J4r2g8WJjlAXVqdfmP158jmHXN3RuZrbe7xqFz8dse/AA32Vx2qj3ji5nDX+xG8OAEd+lzNz6T5RrO4xlmGkfOd6DhsWg0TNyvEY7RrMy2rV6riIwFgQq/4wFpcmrU8dn8rAf+WRjoYw8X4/HhgDslLHVHuxa3qkdbAorda9FYMmdGRY5a+hcajRoXWzKaNcH9RyafVG2W8k459h2UOkejS70NmXk9fmdH1mvn46bPndv9a85tt+Ukecc4wGfmscfjpu6/b7VV33v9372un9oVnrdbm1v4QjAHd8tvObcGur7Wqp7556te2NFAG7KaPVhO79ro9Wv5xYdgQZr29FacV4Z7Vo910EAr46GkXPzu9a5s/5fEagIjAWBRpZG1m3Ok7OR1ybteBEf/Jrg1m9rPfbYY/G9730vhuknNAzqU089Fddee23cdNNN8fOf/zwEMw8//HA8+OCD8f3vf798OXcRcW7VbZkZfh/xzjvvjBtvvDH8Pl9DwI9//OOYOXNmPP30063Aw7j+6Ec/iltuuSXQ88wzz8Tjjz8exvWHP/xh3HbbbXH33XfHf/7nfxYS8b9rDz30UOF/v6l2//33l/qPPPJIwcM1P5NSbujz/1544YVCN7r6vKs96Z7xxqPG+4orrmgNn/aE+D5ohM589NFHg2yNtTvGjH696KKLip4d6321XgeBV155pein++67L+i6ztm5/7/88ssxa9asuSfq3oQggI+fe+65YC/IwEj/yXX259lnn22F7ZwQkBbQKHxefPHF4m/xubptlt8rfeCBB8q1H/zgBxW/BeBYL1UEFoQAOeO/33DDDXP8XvUFtPTXddddF8q///u/O93aMk9wK6BD1M033xwI8x5bayl7bcfne8ZgU55PPPFEMD5nnXVWMECCIHg8//zzJQgy8PNtZMAumEW544474lOf+lTgBxgpAoZ/+Id/KAGi434nWx852qeddlpcdtll8dJLLwUDyvmwJeB/8Rd/UYTZrKyg1TWO4quvvhoc7muuuaYE+N5ZwAuCZNf6nXbyfOmll8YZZ5wRP/vZz/q9uz3pn6QMJ0iCTqLqnHPOGVeg1ZNODHEjDCRdSo5Gg8F118hl9/Wf/vSnce655xb9232+7i8YAUk5yTnBgASBpE53MtJ1OuDUU09dcEP16mIjIMnAnvAh7rnnnlDwetOwcfnKV75SEqRsTXO+bjsI0N233npr8S3ws33n+CISznwxPC4hzQ537qr/VwQqAmNFgN3lu7K1X/3qV0uc19wrmSTGEfd8+ctfjrbL2DzBLWVywQUXhB89XmeddcIL3g3hg77NzPBj4TvssEOgPTPj9ttvL1+r9CPaBt6M7mDj0KGOAPji7jbbbBO+zMnQcD45pma3BXlrrrlmK/hDgmbZZZctX39de+21Y4sttij8vd5668Vaa60Ve+yxR/hSH+fvrrvuCl++3HrrrUNdBvW02UHxVlttFdtuu205d8ghh8Ree+0VfrOwg1Z//m8MjZcvRnvBPjP7s6M97hW6V1pppTj00EPjgAMOCLO4Mv09fsxQNEfnmYW69957Q7KgccjxleQfe2Flg8SJhBCn3swhefIRCyDRG7NmzSoJJcdPPvlknH/++WFMBMHatkpo1VVXLbLHkVWvlrEhIFkHd/pqt912C86JlSXN3cbJ2HFomnN121sEMju6lf2wcoGNWWONNeLMM88sK8A8TaKRPTEeEg7O1dJBILODH6caP2+88cbB5kpGW3kkKUBPTJ06NbbbbrugN2DduXvw/qdTTbTQr3QnnkKlLR5ybeSqANcHqZiQYHv43HiCXVdMSOAFdqWh18oUPqpJCMkP9VxjV9Sl+5pzzg97gQW/0MelMjuyB5PMDLInDlp33XWLX+x8W8uc4BYDmK0SCHAIZcnM3raVsPH0OzNLsCKYJ0yUByw4BYI7PxnEIBGW8bTb5rqCQllnAQLlYTbMslwBIeeVgLSFPrRwzPVfwoIS5IwL0pXDDz+8JDT+7u/+Loy7YJA8mLEW7K622mrhq46c/VdeeSUyM2CjzX7FIDNjypQpsemmm4ZAo03jtTiYUtocfYqb/C633HLBKVqcNof1Xk7lt7/97TD7ffnll8df/dVfheBUgssMFfmwkuO73/1ukB0z5ZyJCy+8MMgXJ1SG+Oqrr45vfetbZcmx2ayLL764yBld67UH9wnKfHU2c66xHVbcx0O3MVLYKLpMEOVYG5xk47D++usHuaiJA6j0vmRmsQmSChI/7CMbIlgTkLATghKzkII2fD4s+ng8aFsqyedkc9kuSRv8LJChH+hyeh1fC3LG03Yb6vJT0E9nfuELXwh+KF1qZQbeOfvss4teFfBbjcEfaQNd4+kj+WG3//7v/z7YDasHzzvvvPKaHBlih2DE/sBFsuhzn/tcqSsYhhHeUJftEsfA0D3j6ceg1s3M8PNbG220UeC3zJxDqgmbzCyvsYl18B/9NadCy3ZKcJuZ5V0d2SCZMZ/lFgAIBlpGz2J3V9bV70Zx3AiaBm1hI/h1PCyFETGLzahwRCkas2IMN0zagkNmFkHm/Ok754MgczoUv+35vve9L1ZZZZX4l3/5l+J4N8FrZoY6MfuPQ0IuGB4OvuPZp/v6Hzp0MHOuEnM8kWWy2yarkjHGbZ999imrDya7T218fiMrK6+8cpkxoRNnzpxZZqP8lpxgiUNv5tb+ZpttVpJEEkGOLZHloEo2mJklL4IsOoTMMa50C6dWdp7Tnzk8fBo9+GOTFNhqDs/D1fH5s2fIOYB0lUDLck7jol4tvUMA1gq+z8ywD+fMLKubOIrshsSQYtZRgBL1bx4EyH/Dy/BzES/zR2HL51AaHnd90Ap6BfSCil133TXoR8GepLzXoawIoD8vueSS8urcoNGPHmNsBpY/ts022xQ6BaxoJlvsDHshaOWjmnxRl613H3tC3jIzNtxwwzBh5z5t19JBgI9kD7/ZNqd/rEQAABAASURBVIUMbr755mFlppUTsG2utW1bgludlikT0cu2YxREyha5NgylCQIMqiWrHDLFMjuCZPbLrOUwYIFGzG8GQHbQ7B8nibMLB+ca46Nuvxd9ZRA55JZbUJicbEt+jLusnmunnHJKCYS8i2D1gkQPx11Qbys41o4llXBgiPuddvQxAMaz3/vai/4Zaxlcy5SMHz1GhnvRdg/baEVTZklWWGGF4mCZ/VtttdVKkgjvcyJgSyY4WwJgjsRb3vKWcJ6cmHHJzPJqx4wZM4psed2BHuG0WQ1j+Rnn1b6x49hUR2Ts7MFmW11kpQmd1RzD3phYqky3GRP1RjozY39SrbkwBMiIOuwme8EJx8+K11os9yMv5IoMqFtLlGQAHOgXSWf4CWbg6TgzAy/TFd5rpn8ky9wzSAWf4Av+Nz0pKJsyZUr5sCmfS4CfmWWVALrpS9tBKvQTfbXiiiuWGUb6LDODDyPghwGfhu/l2HU2B1ZsivthJUFAzkzOeM2M/hsknBaHFvYVdjDFQ2w1uWIzMjMkUMgeu842L86zJvPeEtwiFnNgBJl4ETunRpA3mZ1bUs/m+Fsu573LK6+8snx8Z++9946dd945ZL0thaB0pk+fvqS6NGnPyewoT9nm66+/vnz8wkz2JptsEgJD/GE2xpIFuE1aR8f4YAZDcCNTbskxmsxCG1PFDJ/gVcCKzhNPPLG8n0tBmsV/5zvfWZa8WO4ic2p5FCNM+WbmGHsxOdXQbpxkfm0dT05PltxTBV2nnXZaGC8fRbCU1tLMJdeDwXkSh4DRs7TL+4OcB1ld/GQWUNJPEgG+9KRimZhznFMOvYDLSgcf6ROAcU7Uueqqq8pX6a0Ook/M8pItstrRK4OD40RSwhG07F6iznJGuok9/7d/+7dYffXVw/ciOCr22XNO4UT2Zxjbhje6t9xyy5LYMWtERrz3771JNofcSBIbA3ZUosE9tcxFwGQCP9QKEa8r7L///sFue/UBblYf8M8EvJZ3z71zMPYEZiaU6ER0m+WnS9k0iUOyDhd+jMSJIHgwKJ9LBR+FPTD7amvM2Qv+mESdffaIjXBsZpFvo/BNXZco9d0g/h3bM3PmzJIgmPuU4d4T2MIWxjDj+/rQ3Re/+MXynQBL3tn2vfbaq8x6txWtEtzqPMEyo3XsscfG7rvvHocddlisMDtr79qgFwbfrKzMKqHYc889S/bCuSOOOKIsyYOJLNGgY8FQKxzZD3/4w3H00UcXLD70oQ8FA7PLLrvEv/7rv4ZsGJ7pdzwyM2R5//AP/zA+8IEPhPHlZLzjHe8otOF5iQzvrKGFE/jxj388CLZzBx54YHzsYx8r9DIu5ONd73pXTJkyRfW+LpkZxkuAJzmR2d/BeC/ANEbG+dOf/nS8+93vjo9+9KOB9l60PYxteP+NM77TTjvF+9///hAoCVo/8pGPhEQQfI877rjwxXHJIcGVFRDkx2wLWTr++OPDEjv6UwLVdXx5wgknhHaaOn/7t38bHJY2Z4uXKI/MfphkwTbbbFPwNUbTp08P71MJDOgoOtrxSSedNGfGZ/Zt9d8EIOB1l/32268kxffdd99iL9lJCQazSMaCXCgSRxPQhVY3CSN6Ag9bYiqAY6v5Xuw2XwyedIQguNXEjtJ5fhcMfAPkj/7oj8psNRv2nve8p7wyxffwAUzyfuSRR4bZ3VGaafWpzCwf+mQLyBBb8+d//udlebHkEb8NTxx88MFFzvh2n/jEJwK/sE3sEHmbMWNG8AH4bxIhfLmofwUBNoOekgD1ASmJNlj7vg6syB3crGIVG5WbWvhfCW4zO06v2UkEYRLvRGV2zreQrjF3OTOL0TfAhAb9aGd8DCzhEdRRppk55nbbWDFzLn2UgUyqYA9fcEyXXnrpEigyNBxZxrqf6czMOWMr88lJt4TFrKtxlrzgbBt3hiIzy7JLdTjp6KMI4LDBBhuUmRD3CfzxRvThX2aHZl3LzLKkFN3GLzOdHuiCV40ppd0UTv5AE91j4jI7fGLJkiwvp528S3bSi+SHjbB8SeKAjoC5eoJhMqKubtmXNCRDlmSadXFvcw/dSjZd1wbdm9l5vvtreS0CmfPiA1M4w9UY4He8z1F2N90GZ/vDViaa3swsNqZ5Dv6lb/kNmRmW9rEz5Cazc0yWMrO5Zai3mTkPfniXHsDPklzwpBvodTbZNb5aZg4cbpkZaJYURD9dalWGGVrnYYGX8I9rAwfAbIIys3w1nwyxIWg2/uiFATzwAR+MTPFTYcIm8XHUpe/oPkGaRAA83Tu7+aH+l9mRGX4tvPi0MIOVffZDgSfs1WsjYJm/plO2yNpr0/7DVixtsN582OieH73eZbAspO38oP/GlXM+P1qb8+oqlrI052yds22KY45+c9yvW3S3oZ+9xA+9+LaXbQ5rW+SAXsTv3nGDg+8wWJ5sv5b/iMnGoPL75I9BwwNsjNIct3A7qfzM52j0zViwo5fGUq9NdejcYfbDjRUe4LvYr6W3+q3hL3ZjGLClIwTlS3EKOTHW9Q9b8SEhQAwb3fOjlwPLUFuDP786bTlPiH3Uoy397VU/OQs+DNCr9trQjg+QUNyDwLeTjbd3ZBlD79xwOCxP8u0BunKy+1af//3yc0r4nZxXPDp4TCYOPlyjVN2zaGPB52CrvaM/meO44GcvGm1jbZOu5XfZjvWeQavnXeOq0yaGz8gWWz4s/IXOzIylZIyGtcTsv2GlfX50z4akfL1wftfbcn5Q6Bgv3pXu/xkI/h3vuPeyfsNDtpZzNUvwe/mM2tbi8amxqRguHoa9wq+ORX+MQ6/GczLaaT0P/c/i8cCw0z/RPAdfZaKf0y/to7W8c2unlopARaAiUBGoCHQjwFh1H9f9ikBFoCJQEagIVATGh0CtvWQRqMHtksW7Pq0iUBGoCFQEKgIVgYpARaAiUBGoCFQEOgj09P8a3PYUztpYRaAiUBGoCHQj4KuLzdLm7vOj7aubmeULqvZHq7Oo5zIz9KPX7cbsv8wsbWdm1L+KQEWgIlARqAhUBCYPgcEMbicPz/rkikBFoCJQEfg1ApY1v/rqq+GjhT5emDn/4E9dH4HzYRHFx2acy5z/Pb9+zAI3mVl+4suHsp555pnwwTXtRg//fOmz+dBT5uL1t4fdqk1VBCoCFYGKQEVg6BCowe3QDXmH4Pp/RaAiUBEYCwJmOpXMTtCWmSVYzJz3uKmT2bnuWEB75513xqWXXhoCQDOn0fWnjpKZ8dhjj8U555wTzz33XNx+++1x5plnhoDUPZlZZnMzO1v3NCUzS38cZ2aM/BPIvvzyy6XN2267rbTvXHf9zCxtZM69P7NzbmS9zJzTF32L2X8PP/xwfOMb3whfavQRrtmn6r+KQEWgIlARqAhUBCYBgRrcTgLo9ZGtQKB2siIw1AhkdoI4s6h+Mk1wKtATsAo6bR0LFNVR1HHsumPB32/91m/Fj370o/BzTa65J7PTtnPqZWZMmTIl/KSKZ7nv8ccfD9e06Vl+zsBPZmjDvns9xzVb940csMwMdW+99dYSKG+55Zax8sorl0BbW65lZtj3kyTa0j/Fc5t2m/N+EskstPv0wzNdQ+PTTz8dfhbGvSP7UY8rAhWBikBFoCJQEVgyCNTgdsngXJ9SERhABCpJg4yAIM3SYLOdV1xxRfhtRQHfI488EldffXXcfffdJWA103rllVfGHXfcUWZF1bv++uvjhhtuCMuMl1122fLzTGY377///nJO8Go2VR1F8Kveb//2b8dv/MZvxO/+7u/Gb/7mb8Yvf/nLeOCBB+J73/tePP/88+WZnnfLLbeU9i+//PK4995748Ybb4zLLrsstNk9JplZ+jhr1qzShvYFzPpvdthsseXE9913X+n/Cy+8UAJfQe1NN90U11xzTVx88cXx1FNPFRruueeeOOuss8qxPrn+4IMPhnYVzxb02tZSEagIVAQqAhWBisCSR6AGt0se8/rEikBFYFgQaCmdgk+zkJYTCyoFnALQhx56qASSglaBpYBVUHn22WeXJbkCWwGfINNyZMGg2c1f/OIXYWbUtdNPPz0Ekdo2O/vkk0+GeoLOzCxBpNlQ0OmHugLI3/md3wnP89zzzjuvvMerH5Yyq//qq6+GoNqMrsDc/Qo61HNeERh/85vfjCeeeKLMKOuTZ5jVFfC6rj9f+MIXQnBvVheNZmvN2sLBDLNA3XVBvvvrcmRo11IRqAhUBCoCFYHJRaAGt5OLf316RaAiUBHoOwQEamYmn3322Vh11VVjjz32iM0226y8Fyvg3GSTTeKQQw6JqVOnlrL66qvH4YcfXr4YLJB0fNBBB8W6665baDMTu/XWW8eOO+5YAsq77rqrzMSus846MWPGjNhwww1LvczOcuXMLG3ph+cJMLXxute9rszqrrTSSrH++uuX9pZZZpmyv9FGG5XZZYGue+LXf5Y7r7DCCrHeeuvFaqutFmuvvXasuOKKpf+WKAvIl19++dBnM9Pofstb3hLu0a8tttiizDb/r//1v8J596y55ppl/w1veEO5JjDXV0G1Zyu/fnzdVAQqAhWBikBFoCKwBBGowe0SBLs+qiJQEagItAEBAeIb3/jGELBZhmyW08zo61//+jKb6cNJZnPVE3haxmv7pje9qbwnayYTnYI8M57uNeNpBtcM7Jvf/ObyUSZfLxYYCgrNiprx9TXjF198MSwXdk1QKQC1tFgd772aBTYLa9/MsOXLZlH1y0ywmVV91wfPd901dR27V5/RqD/a1RfBrWNLi92j6LM+eZY20WI22FJmM8/aQa++C+wtm/b+bWYnUNeHxSz19opARaAiUBGoCFQExohADW7HCFStVhGoCFQEhgUBgaoZ2+233768x+qdVjOa06ZNKzOnZl4FdwI/ganZU0GlWc211lorBH0333xz+dkdAbFZV0uLBZ3bbLNNmA3daqutyuytpcA//vGPS13v3QqYBZVTZ88KC0Tf+ta3lkDYUmGBrgBTe8ZCwCygFngqyy23XHiupcvqqSOQNeMqsFVfMGrmVzCrb2aUPdPy4lVWWSU23XTT0JY6gmsBK7oEtJ7l3VrBq7bNCvuYlLbVcU47Z5xxRvlIVWY6VcuEI1AfUBGoCFQEKgIVgQ4CNbjt4FD/rwhUBCoCFYEuBASWO++8c5xyyilx3HHHlaDPct73vOc98aEPfSgOO+ywsiT5gAMOiD/4gz8IS3UFfpYjf+xjHyv3WAq8xhprxEknnRS77LJLHHroobHDDjuUGeE999wz/viP/ziOOeaYsMxZsOu+nXbaKbTxR3/0RyHYtIz4gx/8YBx//PHlue985zvj5JNPDoH37rvvHh/+8IfD+7L6Y199QbAA3QysWeITTzwx3ve+94WAddttt40/+ZM/CVvLnC1nPvDAA0sb6BUIO/fpT3+69Fm/f+/3fq8sU9b2+9///th3330Lfe9617tKn+DzyU9+srQpGDf76/nA12+QAAAQAElEQVRdcNbdisDkIlCfXhGoCFQEhgSBGtwOyUBXMisCFYGKwHgRMKMpUPTlYoGi48wMs5WOFecEwk3bzgkazZy6ZmmyNtzTnFPHEmDnFcfqOtdstel8U8wQN9eaes1xszXTKoA1O5zZ+TiV+9Xvbs++e/TZVr/QaF99W3XsK+5XV9EPBV22ivPqKwLb6dOnBwzc61otFYGKQP8jUHtYEagIDAYCNbgdjHGsVFQEKgIVgZ4jIDgT6NkqHuBYcdyU5th157qPm3PON6U519Rrzncf22/qNdebrWsj953zHrDZVUuqBZruV1xT377tyGPnmqKO0tRxvtl33vFoRR2Brtnm5kNa6rmnlopARaAiMAAIVBIqAq1AoAa3rRim2smKQEWgIlARaAMCmfU92zaMU+1jRaAiUBHoPQK1xX5AoAa3/TAKtQ8VgYpARaAiUBGoCFQEKgIVgYpARWCQEVgCtM0JbjOzfOTDsi7FO0iZw5mB9i5VZpYvdNq31ExZAuPRN4/InMsPaFdg0TcdHEdHMju04OmGDrTYd07JzDktuqY4kZnl9zYzO+/vuae5Fi3502dlWJZIotUYGVf7LRmmgepmZgbsM+fKVYz4y8yiY0ecnudwYW00lTOz2Z3vNjMX+rz53tzHFzKzYA0rJUb8OaeMOF0PJwABODdlZPOZOceWRP0bFYEGO9vMnFMnMwuPZ3a2Uf8qAhWBxUIgM4tMxSh//KfMufI3SpW+P1WC28wM7yf5OYZnn302/OSD3/3zEwqZfU1gzwHOzHjllVcKHoIBPwPh+D/+4z8G0jGaH4C+9Ikf8MGrr74a9p977rlW/ryFn/7Q/5dffjn8dAl6fvrTn4Yx9dMgxtdYZ3bkwLHrzsHHvnuff/75gIFj79dl9rdsZGbhWT9ros9kHD2DXDIzjLefnKHHjHFmDjLJfUkb/fH9738//KRP5mvxJ1tkiqwhIDMLr9pvijr0zwsvvBDkrTnfvc3sJJ1eeumleOKJJ8KHnzKzu8qcfbLvJ3wGiScys+hkWNJlI222IAG9cHZtDhh1p+cIwBq/Gwc2xnFmhxft42f+hJ+UWhCf9rxjLWkQRn5Si63Gr/DKzKIXyL9zruFndVtCVu1mRaDvECA/7AG/sLtzmR17Ss58nDEzuy+3an+pzCzRO4X8jW98I/7yL/8y/uIv/iL+6Z/+KZ566qnwBckYgr/MLFlVTtJ3vvOdEswZ4Isvvjiuu+66uOmmm8pvH2a2bbBj3H8YH9P/67/+a/zVX/1VXH/99YX+U089NThRZvbH3egk3ZCZ8fjjj8f//t//O772ta/FbbfdVui57LLL4qGHHoqvfOUr8ZnPfKYkdNDF8bjiiivCuDOinOEzzjgj7rjjjiAjl1xySVx44YUlSM7sX17IzDlyjZ577rkn/Blb20EsmVmCmwcffDC+9a1vxT/8wz/EpZdeGhymzP4dq34fCzyjZM7FMDOLvnQ+fv1nv5kt59zPnDkzBKfkSiZYUSczg2G9++67iww25zKzOLKOfUFZgHz11VfHVVddNWpwm5mFx7WlHr3tHs+LX/9ldlZtaBNfkGU6Xl8U51XNzEJPc875Zj+z06/MLM/L7Bw312MS/wQAjzzySMD62muvjXvvvbckZnUJDcbBefZLciszXaqlxwhkdpzCG264ofgLV155ZbGVHpOZha/ZEvbjscceG5Wf1R3mgl/vuuuugt/ll18ezz77bIGDnEmUXXDBBXHzzTcXWyyBqX6pMGD/ZWbRM+hW4td/mVnODyrd0fWXmfPo4/j1X2aW85kZzR884KTY7z7vOHNu3ebaMG9hotx6661x/vnnF3uR2cHIeRMDX/jCF+bY7rZitRTjqAhid9111/Dbfn67b7vttovf/d3fLc5iW4kbT78zM2QqGKdZs2aV4MVMgFmvtdZaKwQ9zzzzTFm6PZ5221gXPyy//PLlpyz8rIWf1fDbk/jD71jKOreFrswMv8259NJLh9+v9FuaO+64Y/gdS1813XrrrePRRx+NM888Mzi9yyyzTGyyySax5pprlmPB78orrxzu2XTTTWO//fYLX0Ltd0eRopfpFogbqy233DIEDDLgjgexUMySMmg8/PDDY6+99iqJDU6Sa4NI80TTRBdI8tCDcM3sGEH8L3AyU6UPmVmSCM4JNt/4xjfGzjvvHCussEKZvaU/tcEpVR8vbrbZZrHhhhsW4yqRKhD2PMkI7ahDRunlkTonM0uAQEdr0xeSta8/jj0jM0vbnq0NcosP9M919RV0CYrN7KrrfjTjJfcprivO64t98uV5+qy9JV0aGWeX3vrWtwYdLYCCiSSDMRIk/OQnPwn2nO6erL4uaWyW5PMyswSvkgx4hv3A9xdddFFJiEu2PPzww3HOOefEm9/85th4443DuToWc0cJv9LTHOt11lkn1ltvvbjmmmuKDSZzEtFveMMbYosttggYS+LQD3NbGIy9zI5eQ7NZfjoJn2Rm8cXpK9cyczAIHoWKzI4vjnZ2oNHXmXPP0210udvpZ7jgC7rbOcW+8+o6rqWDQGaGVYgmPayKavgrs2PDBb0mQ+DWYNy5s13/L6W7iJsyZUpxNDjylIaAgIJGoDqDXDKzOEEG9E1velMst9xysfTsYMjvMlKqlCxBExxxbAYZi4Y2xpcx4UBREJbj2scb+KWp14atxI2xpAQ5o4JY44nX/SamIIgDePrppwdlKrDPzMAPznNWBL1olfBhfLXXr7KR2eFnvMvZXXbZZcusM4c8c9GMItr7vQhSJGMkLtZYY42S4eXQK23j2cnGOrPDJwKnO++8MzjnnHeOFX1gJcONN95YVnSQGcbSCg+rXNR98cUXw+wV43n//ffHt7/97bjlllvCLCKeFMCaTXzggQfKDNe5554bjG3zPPcKeOlhjm9mpz9wycwSTJBjs7VWY9BL+mY2WL9co6sfnZ24MvNrRsi9r3vd6wIvCKTVo9ut7NB3wYgZYAEhA2/1Bh1w3333hYQn5+n2228P9ChWBeg/WjJT80u00MdW0ihkfLXVVitJWLTpiGX5xkJAZdUJZ8/5WiYGAbygZTYF5niGY67gP/xpnPAm25G55HlG//qx4OUnn3yyJML4nmwz2RXgSTjRGRI4fFJ2nD/CR+lHWhanT/gCH0lKz5w5M8z00610mZUn+IhMw4q9a3PwMRpOmVmSF3QrvW1Lv8OFL8buwIdvQ+/x4+hwehtWbAp9LPHI1rAjdLj7M6u84Re2QCKJH8u+OteMBb7iL/Fznc9sL2ZzgluEUDAUL+dF5t05jkBD+CBuM7M4OxSGJS8EQ6FMX//615fZa8qFwyAwgskg4jCSJuOOHxgWggCDNgdHDAFlyHkmwIwmh5jSkyU+7LDDyjt7lua7hgc45uQAH7gfFpxeytQ15zL7T/jxqL6ikwLTT8uwGYVBdAga3sWz6KOcOT/41uwgR8m1pt4EbQeqWQElnSdY5VitvvrqgYc4V5x2Aa/ZUskExpIjwnZY5YL/OPRmEAW+eFGgRZbMzJx33nkliaR9yw21T+YkoQSQZE+bAk779NBIcI0n2dW2vmqD3SLT2uQQebZnCOr01766jvGGfqorYEUXHSeJxRkSiKy66qohWMZLnCl8xZlyTh00ZWaZQR7ZvyVxnJnlfVt6GUboQRtc4EHeBQT0F+eP4we3zP7TWUsCr4l6RmYHT7zhGcYBznjTsdebXDPraJ/Dzn7QVa4Pe8nMstyWzOFd+MXsP/KMjxV6gH6YfbqssMPnmR3cnRuEkpmFNrPSkmdsN71IjgX6ZJgONRFlibYEYuZgYWAc0YVWvCDRQd+yB4J9OpqNYVskIel0fruEB7zoZT6eRKo62iNreCtz8LBC31hLZpbkER/WqxFsBn3EBrKL8IIbuYMnnqO3MtuJWwluG3AQyPmgTGQfOcXNtUHeolPgY6ZSxocgGXwOzfrrrx8f+9jHgmPDCeI8ZbZzsMczhgwM5hcYWMq79957l6VCzjHc42lrsutmZnl3nDNued4ee+wRnHW8jh5OhuXJluPLjlqiTBmaCaFo1VPHjC4+MePjOl6YbNoW9Hx9loGzDI5sC0psMweTf/ElvhXUSFZtv/32sc0225QAwLUFYVWvzYsAucD3dCEHgx6Q3BPQMYJmQC3z3X333YtjykCyGfC2BF5gyBEzHmZbyNL2228fu+22WzGwnmYljOtWy5jR4px4HUAw5vkMLH5timeSuWYstUsmtU13W8JMvh1zCrUrWCUHbFpmluWgstVm1rSVmeFeM/36vO222xbdoC06QeDYPA89gnn14SEQh4VAHj1LurBbVpCwTehrAgD9hJ9if4MNNghY0VvugfmS7usgP6/hDxjDFs/gCcdLL710eZXJFs9NmzatfMiQvODLQcZlrLTBD1+SVQGsoAYvs114W7HP5uJz+oAcumesz2hDPTiglZ9Cl9JFdBlesooFLvSOlYWCEr6IezIHx55nZtDD6GYL2BLjLciia/EIbOhumOALultdr47hH3rZtalTp5ZXNdgo8gerNvDBRPUxM8vHNtlxeEgUsO94CZ5mxj2b7eRDSRKQucx28tdSiOkulIpjxNsOesHwDNL06dPjhBNOiLe97W0hM8QxJjiyr2YkOGIK5TromKBP9gazm+GQHeMoMc4UDczUaUPRV8oODYTVEkROu+DHO1CcDDOcaDXmxxxzTDhWn6MuuWG5i2yX+zguZkM4LujXvm0/FUaf8bc81/gJavVTQM9A2u+n/vaqL3jTWBtXM3Hk1rJVY07Ge/WcYWiHnuNECB5lcCV9BFIcBo6HlS2WEcuaw9Zsglley8DIlutki/4UpNqXVeegCBzxoHExXpw3RtR9nuW7B+5jfMkiJ879Zh4lHTOzLEumk9RzDz5nqNWz5Qwx0DLRnuk5llWT62afXJsB8hyzs56jHZl+bXi2rb66z4oNCU/XOZjecXUPPsvM3rDFOFoh5/qh6Ct86CVBkyV5HD44mPngsHi/2VihZxyPqVUXgkCDp28yGBN8jo8kcowLR9sYWd7eyJFkDl28kKaH5jK7KrkluDNTCSv2mAzbp3dgaVaTb4qX6Y1BAwhNdBh9QydJJgo+BHzkGhb4iS+mZGZZeThIOPDFYGBiAQa2bAhfjK42qy1Ao9/ob/pYHf4d3NSVkLWEWV1tOZe55HV0P40L3STha5XiO9/5zthhhx2CzLHHVpOId0466aQ46KCDyvdpZsyYUV7RdF8/0THWvswT3FIwlC7nXQON0rY/DIWzJPMjYw8D71oaeIGegJfxIiTDgIskB2UCA8zN2W0r3fqPDgYCXQymcZasMOZmhDjXFCWDeuyxx4ZZKbIg4WHsObGUJCdFhpCS0G4/yoVx4sTKaApwOVHolwUl4/3Y5170KTPLLK1AyzhJRsBBUNaL9oepDXzCQfBRKIkSAaEM+LRp02LzzTcPOpJDQS7gbTUE+eJ8cDzICel9ewAAEABJREFUhuSQ4JjuIFvaIGuCQvIn2ULOJCWsDjEj6rlmGs1eKO53rD3Bm9lH7WVmeafafbLOnGJ9dc3Y010C36mzs/fuZ8S1Tw5szQ6jgYyYDdEP9TzfawpmCMgNWh1zpukNmKjHCfVcDoAkAJmLJfyHVrToG/rpNqs0OCmCWc6vZfn6Bus999yzzLLDcgl3taeP68fGYIqP8Aa88SD+wkN8BnoYL+Iv5+0734+0TEaf4Idf8a8gDj+bubRP1uDaYEYvSLDBdjL6OlHPzMzyigOdR27pGzxFdwnk6Df2DFb77LNPqwOP+WGItswMeh0/0HF0MBsjGKOvra6kryWP+G/0H19NIk9d+pgfR+cJdvnv6pHL+T13mM7jIVjgLTijnb0gZ66RPR+PhSn8XW9jmSe4xVgcfkqkjcQsbp/Rz9GiRCzn4tTtsssuZWkj48QxwxSL+5x+vx+NAgLO0NFHHx0USluVA1oou4MPPrh86ZgiNJZoM7beg7LlEBp/ws2oMi5o5szuv//+JcslyKVQKQSOrbb7dSwpJWMokMDPAg1Kq5/7vLhYcnYEJQceeGAcd9xxceSRR8ZRRx0VHCFju7jtD9v9eIhTxangdE6bNi0EhXQjjA855JAiF2SHAyYptO+++5YPEwou6Q5OKQeVs0+mJIY4HRwX9+NNfDl9+vTw6gM+9YE3+8ZO0KyoT461YxyMp6KuAFPAYLz11772JCbJubZkq9XTb/JPxsk1J9E5/dYXThNdgVa6Qh/Vd92X0g844IDQpkQRXNAJj8mSKxhIxKK5wVaSAc0ScDBHl8KeTVY/jdmgF/KCVyyNZyPwNT4yNniRnaGPJVgkdyZwLFoJtcCf/NIBgpNGr8CM/JM3uJJRdnrQ8EMPviDH9Ay55m/QW2y5wA0udLGEG1/VPa0c7AV0mp4/4ogjShKVfqWDBWL4AS+YZFLYghVWWCHob34cu9KsvIQde2QWkg4cFt99AbDOuYRnBLJ0EpkiW+wFnnIeVmwdvMnknBtbtjNPcKvvlIZif1gLBQMDTGArkBk2LAR2lKctDDLbu6QDDSNpycwy80OQGQ4OuPFW1McDMfuP84h+S6E4K/Znn27FP7ToL1oyc+CWL81vEDKzLFvN7GznV6+eXzgCeIhskB/7TcFX5MF5rThPT5KnzLm4k59maZmlmo7VVzLn1tMeuVO0aau9zA7fOhaQKup6njbsq2+bmU6V2cnMLDzgPgUN6pQKs/9rztm6PzNnn+38y5y774xnZWbRF9rI7Oyj1f0xyX/6Bytybl930GSrOK+fzTXnauk9Ag2+8Ia/Y/zS7BsD1zLn5a/e96TdLcKowSwzyzvLKIIfO5zZC/y02J8lM4vu0rvMtCkFP5HzBptycsD/y8w5WKCfPMHAvoL8zLSZU68czP4PTnR0Zuf67FP1368RgF2DpVOwIl/OOx4EOVsqsw68wewuzQA7Z1+xP4xlkGjvpqXZt1W6x9ax0pyz3xTn7Nu2oeir0oa+9qqP6O0uvWp3WNuB5UjanVO6zztWmnPNvtmrd7zjHWG5XXNOHfuK/ZHF+e7C2JqRlE0eWbc5Vr/ZH7ltrjXb5rrj7uK8Y1ul2e/edu+r0w9Fn5TR+uK8Mtq1eq73CMBaGa3l+Z0fre6wnpsfRs4rg44LGhV02ir2FfuK/Qkvk/iAbhpH7ncf62L38cj97mN1a5kXgfnhM7/z897d30ezg/elwtS+afxhK2YeZHaGje750ctxNMNhafr86rThvP4bV8vw2tDfXvZRVtNyxF622e9tWYos22/c+72v/d4/S5SWXnrpEoj2oq+Wk1lKZ5mdpWTatNTfdjzF2DbL0MZz3yDWxe/kfBBpaxtNlqR77xl/tq3v/dBfPoeVU4uiE/qh/73og6SfmTPbXrTXxja87sKGt63vbeiv+A5/se1t6O/i9pEcCc7LzC3lItAbtiKQM+jDRvf86KVcZmc7YhD4wbhyAOdH66Cet7REcDKo9I1GF3rx7WjX6rnfLj9jNlYcJIXwUC91AL1CHrWtHxwZ21rGNzYNXpXfFw23Br9ebtkYpZdtDlNbdAM/rJf6pm340Yvsl23b+t6r/uIBdqdX7dV25upIspWZMUn8NS7/oxfjhl5zyuWdW1Gug2Esw0z7yPEeNCwGjZ6R4zXaMZqV0a7VcxWBikD7Eajy3T9jaCyU/ulRu3oCO6VdvZ6Y3lYcJgbX2moHgWHhr4bOEtx2SJ/7f3Nx7pk+2FuCXUC/0v1Ix0r3uWHaR3v3x2CGiXa0ot9PN7QRA31HwzAVNCvDRHO/0UpWFjQGrikL6rc2fIV2QXXqtSgfi5sfljCc37WKXe8RmB/Wziu9f+JgtQgjZSRVzind5x0rI891H9f9ikBF4LUIkJumdF91rvu4rfvzBLd+J+qxxx6LJ554Ivxw9KAQOZbBQasfCb/hhhvC7yn+6Ec/Kg4Dx8rXPn3pU3AzlrYmq04vn/sf//Efcc8998Rtt90WTz31VDzyyCNx4403Bh7p5XMmui3j+pOf/CTuvvvuuO++++J73/tePP300/H4448XHkfjAw88ED6Bri//5//8n3LNdT8t4zzayYUCD9fa8on0F198sdCNLvQNQ/H7gHfddVdce+218f3vf38YSO47GumPe++9t8jYaJ0jW+SILI523Tm698EHHyx6iBw6V8trEYAlnOip7quCWrZ81qxZRX/Thd3X635vEYAvfuY/0D/dOpdOMj5sCHukbm+f3v7WYMLvevTRR4sN/s///M85RMESdjD026V4+6WXXopbb721lJ///OflN2Ldy0+5//77g1zMaaDuVAQqAgUBv/vLH77uuuuCbWCrXWhkis1gm5vzrrWxzAluOQ8cfcEdBXLLLbcEJdxGohalzxThzJkzi0NMMWIAAQwH7corr4wf/OAH5ScmFqXtNt7DmHz1q1+Nz372syXZIUhgtBmRNtHDYL7wwgvxxS9+Mc4777wS3D7zzDMl4Hv++efj8ssvjz/7sz8rCQ3CTQ4Ewbfffnv87Gc/K9cvvfTSMv6ZGQws4/nTn/6072GQiLjkkkviG9/4RnCu+r7DPeggmZXA4OR8/etfD7Lbg2ZrE+NEQCKQo0qPjHYrWWNfGn1i3Mhqd1116F96ue2GtpuuXu7DiG6m3y688MI5TcNSoOWcwJceIBPOz6lUd3qKADtzxx13lGDrm9/8Ztx8882Br9kUwS67IYHOtrzyyis9ffYgNPbLX/4y+J2SzfCCpXMw5JNeccUVJTEtwcyGm3CgH2CNt01CwJYPy+ax45XfB4EzKg29RMCEB3tAxkxciX20z9+lsx566KGiw+68886Yn/1Wv9/LnOBWlvzhhx8OStfXpjjDw+RQUIKZGZtsskkceuihMXXq1KAsTz311PAlRD8E7aX3fh/QXvXPF3d9Xc3Pb/ja6dZbbx177rln+Dpkr56xJNrxoQZ0KOuss074EXg/hr7hhhuGH4zfY489yu9XfuUrXwlJDV++RKsfipe9+vKXv1x+TBwGzuEN93g5f0n0f1GfgZ8pLR/sUDLH+pNfi/rE/rgP3SuttFLh1Y022ih8jbM/etbOXuAhTiTnErYNFYJSxo+zzvl0nnMvI/zyyy8HXWkcyJMZFg6ruvbVVXz92Jd/ObBXXXVVcWzN1gjW1Ce7ZDQzy6yMe2qZF4FmTHxkCubNVWMimPKRlhkzZsSyyy4bAl3BcFOnbnuDQGZHt0qIsy/HH398rLbaamXVE37mTLIl66+/fmy55ZbFr3Dcm6cPTitmjGDFB4MjB5xO4ZMKYldZZZXYYYcdyuoxQSx7vvfee8d6661XPlojibDrrruGnx2jdwTHbeR3dNC5Jpv45BKFMfuPTMNIYE8vzz41sP/YEAkLNkYSFKF0nRWlknXsj3OKiQbyJDDrti94CX6S/OrV0kGATPDjyc4+++wzx6cXyMLcB5nYEyskGt7r3Nmu/+cEtwjijMiS//M//3NxJjgf7SJn0XubmUVpXnPNNWWWjzKV2RD0c7I4CgL+RX9Cu+5Es69Amn3hsF522WVBcXCW2kVJlBl3ipFhmDVrVllebQZWgIrvjzzyyPCTJX/7t39bZmZ9sU0Wy5irw8EWIHJUKErntIc3+hWLzAwJCs5U099+7Wsv+4VnOTayj4wgY9htCHvyrCFphDNlJoUjCUfBEWdTOffcc8vSQTJiVYt6F1xwQUkQ0Z2cDQkjcsbJ/MIXvlBmsk4//fQym06+zjrrrDDLQsecffbZc1bNOHf11VeXa4wrXTQkkI+bTPpYAnL11VePbn3kPHvO8ePk0VeSCLbjfki9YYEINJgKsgS1JgU45Ntuu21wEtlNPM6foov5EZz3BTY6RBczs1Ar+YVH/YSfpKRZJVjhYQGdnzRhmznh9Ac9LyFNx9BJa6+9dvgZEffQG9tss02x/aXxFvxHz+Gdiy66qPigaDvvvPPK0lGJk0a/Cny9cgOHFpA1ri4KvKw4+cxnPhN8TrYA3fwu/GH2ni1idyRArb770pe+VFbYmdE/55xzQlDG/nz7298O9S+++OLi24+rIwNcGcZWt5122mnBHtNVyJ0yZUpkZpjQYY/5vYJg19pY5gS3HHeZ32nTpoUM2bPPPhsURhuJWpQ+cwbMyB1xxBFFIVIwGGC77bYrWcHrr7++OGeL0nZb7/HzHfpOGBgczE8BO9e2ktkxoBwRYy0IQheHkNE86aSTyiwfpWqWinGUQSUT7kGvumaYLAEUKDfnXevXIkDRt8wO/fYHvRgXOoxzyUHg/Aw6zRNBHydDkMkplyTB+15NkCHneO62226xxRZblNU+HBEytfvuu4dgi+NJfsgRB58cqctpFSRzVtTntLmuvpkYssmgus9z8C89lDk8/LsoY0mXdetmOLJdZsA4gGbDN95447JKZVHar/eMDQF8zX5ssMEGYbUPvjcuxoNeMk7syNhaG65aMMrsyLmZSXhlZvHHXHOsuBaz/zIzJHWmTp0a9JSEgVleuonu58tmdtqbXb0V/9AnGSJ432WXXYLPZfbRDCZ9iF5JK0EvH70VRI2zk4J2wakVk/QXX0uCjt0Qp7BF9BkMyNtzzz0XK664YpiJhEljt9gQNsUEBrkbZzcGtjqsrG6YPn16SVBbvk+m4M7W013stKS0RFFbgZgT3BImjIGZ3vve9waHQka+rYSNt9+UylprrVWcNRk/DpeB5lxRnoI7AjbedttaHx6MsGWDnCKOrC1j3Taa0IEeRgENO+64Y1imbHavEWrXTjnllJJpl7liKC1PZiwtD5JRpiTVJycccwa337HQX0oeBv3e1170rzFiAiwOjiC3jTzbCywWtw08T/9ZtYDXMzPMLJhJyczye9iW6pMFdeFMZ3LAGEfHxoOsedWFfiVT5Eh7glh8aTZGcEvXSDQxqJlZPgiDd7VBfheXnj67v2fdgQ2cFFiReasV2DAOMlsu0bDzzjuXzH8nd64AABAASURBVHzPHlwbmgcBGPvAEZ6WWDDbKHnz+te/PvC22VvHAhZyMs/NQ3yAf5FPZ9MF5B9WAhPY0S/ss3Ou4WsOOt1kdslrRgIhzjn86RVLmwVF5EHbbSj6SjfSn3QmmmzJNf+cPoUFecZj+K0NdI2njxJB6LaSjs1QnDO2Aln4wAkGbA65wjf4AY84T8b4beSs8ffYsPH0Y1DrkjUy5ZUtyTevSrDp8KWv8Nphhx0WJvkkGNj6tmIxJ7gVvGEQU/2WoQnoCFlbCRtPvwmLgfz85z8fZmxl/jgFHDFZIBkjdRyPp9221s3M4BwJ5mV1zHwRCg4op7RNdBk3mVABqeWSM2fOLO/2+UiUcTWzh98lciwpe//7319m6hkT433UUUeFupZQWqauHYqXE56ZfQ0F2o2d5bn423Ffd7gHneMAGSvLk4yXd6s5ST1oeuiasMxP8Eo+zIxwHjbddNMwI2KJmGX8PubCoRC4nnnmmWHlgyVzsr54z3hwQiSSLGW2zIzjyZhaykw2OWky8l4JMTtshsKqGa9DWGpG5jgsQzcAYySYA2L2wjjZmulhy6y8gp+Z24MOOqgk9MbYZJ9Ua0c3Mjt2AP/6AKMlfX/zN38T//Iv/xJ4nh5abbXVwvioQ46qTnrt2MJEUoyOYKe9D4iHrQqhh/C1ZaYCYEHN1772tbBkFX/vtNNO4R58Tw996lOfijPOOGOepfqvfWJ/nRHECeDYazqPzeafkOlmNg02/BjBicRtf1Gw+L3howiy0M7GsCG29L9vB9hnX9gLyTpLaq2UUA9urrMt7L7lyFbZWXWp/uL3rv0tCGTZch+LhUtmlsSb14bwnOQBuwxHMuVbDW2lek5wKxs2ffY0NSPI+dhrr73K+wttJWw8/c7MEKxY7kBhwEHGh8N27LHHhiysbAYFM55221pXICuIfec73xl/+qd/Wpb+ULxtpcd7OB/5yEfihBNOCJkqhvKQQw6Jt73tbcFZnzFjRngXCn0c+t///d8PS9QF84cffnhYssyYSAD5oBRcGGH1+7lkZvkAx5/8yZ8UujM7Tlg/93lx+yZrb6yMowSV7GQztovb9rDdL8O7//77F1mA53HHHRecBsHt7/3e74UVEJYac9bpRysfJIQ4qcbgL//yLwv/CX7NQJA9K0D23XffYls+9KEPxTHHHFM+aPHud787yKRVM+95z3tC+fjHPx7eh3/f+95XA7MFMB+H5MQTT4w//uM/Lo6KmQ86jf4yqyFIYNMX0ES9tBgIsJdu5x984hOfKLyLb9/1rneVDxjyK/gQlk2yN5zGKVOmuGXxywC1IGils624sbWKkL6hw33Q8+CDDw5+WeOfmbGlU9Slb9T7oz/6ozj++ONLYavpnrZAhI+WXnrpQCddyic9+uijg96dOnVq8EXpXDwk6d4GH2S82GdmoFVywisuxp1MGWd8wc54t/2AAw4I4863++hHPxo+JLbGGmvEJz/5yeKvszN/8Ad/EPQgnsFb4+3LINY3g82Ww1PCTZwHH4kCtttHY23pKD4wf6qtOJTgNrPj9HLeEUpJc0YyO+fbStxY+p2ZZamWj+8wQBSmwecQWwbCUSNgZrHbHOCNFYumHoeJEqVQzOgLdptrbdlmZnlfxxIwhhI9nD2FMVQYT8IsE5yZ5Z00yhUPGG/KgGPoXufcY+a2X/HI7PBzzP7LzBB44GnLezJz9tnB/odv6TDjRXlz8Aeb4t5TlzmXTzhQ7IHlf5wtOpEDBl+GkDxwHMgPB4ORJF+cDk69eyyTpU8lDiUMOfbGhV51TMYknATKttomc9rybM6Mce09pe1sMXPu+KDAeMAI3pwR2XY6jU1jtxTjpm4tvUUgM4v/oFV8z4cQZPmqb8PPeJpvxdaQFzKlfi1RsMvM8JeZ5avecCL3luBK1NDndAwet8+WwZNNd8zGqUtHwV4RBKqfmaHtNhR9behAFz5BA7+D/MICNuwafdsGmsbbRxigm89CntgRyVS6DDZkiU9uzOk9fMBW8NnwhbpiF4lZAZoAWNALv/H2ZdDqw1ayhz2gn+giPAUrssSvZa/xHozJXBsxQKd+l+C2WRZm6n6YivcWlG6aOWLdx8O07x0W2UP8YO19m2k3rs1Yomd+tKCzKd11Rt6jTtNed71+27esR1/7rV8T2R/04tuJfMawtA1LsjOS/xeVfsvJLD3WpnfgLIta1Lbqff8ZMDBGY+H3Xo2hZ9bSwX4kDmzmeOxCHZN5cWzw68ale38k3iOvjTweWb8Nx2ggz7aT1N+iVybz2ewD32Uy+zCoz8ZX+IvdaGi0T/aa40HaoleAuxSm8m6ldxuGrXC8rM8fNrrnR6/3FzC9L9HNr04bzuu/cfXxiTb0t5d9NH7ewetlm/3eFr6l0Ix7v/e13/vnHVmGzs8p9KKv2pNt93VGs7Xebe9Fu8Pcho/d4fdhxqBfaPdtCqXqnhfKr2uMd1zobgmvYdYLkn8CjV7p3PGOQT/U965xf+u0RePvfsBWfCcBxxb3Q38mug/kqMzciugFuMNY0K4MI+2j0QwLTDHatbadQ4vStn4vbn/RLAO6uO206X70ortNfe7nvvYSS2NjSZhlyZb59zPdbemb8RkUPd0WzOfXT2OhzO96Pf//yked5ocD/TDs+MFg2OUZDyjz45N6fsFytDB88Bc+W1i9xbr+/xavj716NjrRW5Ylm8IdxgIAZRhpH41mWCijXWvbOXQobev34vYXzcrittOm+9GrtKnP/dzXXmPJaWkMTj/T3Za+GR+lLf0d5H4aB2WQaZxo2oYdP/QrE41zP7ePfqWf+9jmvsFWaTMNY+07OpUS3NppStNAczwJ20l/JAwmvRN92IFhxwX9Sh8OTe3SKAjUsRoFlHGe6gWGvWhjnN0eyuoLwnlB14YSrAkkumK9eOBW/BYPv3p3RWBxECB/yuK00Q/3zhPcWj7WfAXWfj90cEn1wWD6+povh/l6Z3PsPTFfoHQeJmYhllSf5v+cib9iCaGvpaHbV+ocK3CZ+Kf39gm+EIcWX1xFi/E11sbTuWbJpKeir7luH82u2//Zz35Wlli57lj9fi9oR3Nb+tsLPNFsjIybbS/aHMY2esEz2vAeeDNzO4w4TjTN+J2eUui0kc9zvrHrI6/V494hwDeAP55vtiNbNw7KyPP1OAJ+eBkW8MO39hWYObcgbNWrpSJQERgbAuSrkTd3NLJFDskamXO+raUEt4hCiB+L9iPZV111VfjxaOfbSth4+o1OzpcfNf7c5z4Xp512WvhhaFj84z/+Y/z93/99+JFjPxI9DIECPHyUyI+g+6H0m2++OW666ab41re+Fa+88kp0C8R4cF6idX/9MLQ888wzpe/nnntu3HXXXYWWa6+9Nny99bvf/W5ccMEF4YMG6PJxkJkzZ8Y111wTPnDgo2OXX3553HrrraX+RRddFO71wSpt//oxfbfRN+Whhx4KfUaH477raI87hEbjbVw///nPl/GmrHv8mIFvDo4+cnLPPfcUXei4u3QD0JwfeY5NwX8XX3xx+LgbYzpa3e776v74EICnD3Tccsstcd1118XTTz9dfv6saQXmPnZEn9lXv7lWt71FgEN43333xQ033BBsJvlp8LZ1fdasWfHAAw+Un8Dp7dPb3xrf6vHHHy/2eeZsG8wW0yGKxDL+hivfrP3ULpgC/NKU7pqjneu+Pij7DZ22I2ma37mR5x0rI++vxxF0EVtx4403htinwWnWbP1E9s4777zwASo2o614LaXjCKM8EMpQUsqCAF+wA4I6g1zQzwF+6qmnwiyD39kS6Ah4/I6WfV8co2wNtrqDjgdDc/vttxcjzbiY+YSNl77h1Rb69RU/c/4Es+gymyc4RY+vNZ5++ukhgPWVWNddE9wL5M8666x49tlnwwy+31wzk+38L3/5y3mcyH7DA4/i1zvuuCPQjjZYdPdz0PbJJprpMGNMp3HqOfeuDRq9E00PfjH7rdj3PPLvy4v2m+JYwXOK8wymfecfe+yx8EVUY+C8NtSpZfEQgCc9JOlKX7HV9957b7Dbrhkzukyy+tJLLy1JSecW76n17tEQgCsfQeCK530BVyAmQWos2FB66Oyzzy7BrXOjtTOs5+DBFsMPz/K9+KP0OTwlyZ588smAo+DWPn4fRLzwEj3Jb6ErHTfFsQIv5waVfnShEwbsiOOGXvzguMHA+e66jhX3Oa+uY9taosgQe3H++eeXRBxeE+N873vfC/4inUWXmdAyKQLnNuK2lEFXOIIi9RVXXDH8UDSjSRkjuo2EjbfPBMEgW64qiPHjxtOnTw8/YbH77rvHlltuWXAREI237bbVh8WUKVMCBrDwo+F+GBtfWMbbKIy20KXv+Frxw+B+AHy55ZYLP46+zTbbxAYbbFCC+CuvvDIERX7EGt0PP/xwCQzV8UPh7t9xxx1DgQN+6WcMBCXo9QPoFJRx7ef+Lm7f0EdfrbnmmrHvvvvGFltsUZaRc5YWse2hvo2cswOMHSfDah4rGGbOnlWRCAQOI+mcGSsO/aOPPho+xe86R1VykC5hYyRY1JM45bziSW3UsmgIcPTZbHjT0dtvv334mSArFxpsZeebxEJzbtGeVu+aHwJ4W7HKQR22YvXVVy8rfGAvCPvxj38cxsV146C+/Vo6CNDbkmD0AnsMQ4423PimrsHUebqIbWarO3cP1v9kGu2S0hIkzaoX+pX+hIWgf7Co7lBDLvjYbMdtt91WVqNIZLDtzpugYIfEJuyTQJfNufPOO+Pqq68O+86xWdpgmwRt7u88Ybj/p3vIGPsME8cwt2VH4LbGGmvERhttVLDEZ661EbUyc4vIZZddNpZffvkgODK/GIfxbCNRi9JnAywY4Kx95zvfKcsZzdJRpAaYgXIMq0Vpv233oBPNMjgyqAI/mdW28gR+xttooQQtwTee6BGscgwtZXUN3TJWZkQ45uQCf5ixpWhhwuDgDef7dWzNtgvIOQ792sde9gvPkmHjJfHAEErQrLLKKuV9rl4+a9DbYtAkBcwECpA4DZ/97GfDDAqH00oHRvK+++6L559/PtSlHzidlhY6JkuukSfHHDYyqA1OmvODjuNE0meM6CnjICkr4SYZ4ZheMk5kYOWVVy5JO/pqIvszrG3DGu14nd6hg/A2B5yjrZALge5aa61VlgGyR+6ppYMAOyyooycErXiZsy0hpuBlq6esrHLMT8P/nbsH43/0kN8LL7ywvCrFntGTdLDA1lJRso13rAAQ9A+ibScrX/rSl4IdQSM7wt+6++67Q8DLJxPMWpXFNll5ZzZf8Kuu+AVuXisUxFnOzoeH72BwyqJTQT9JsvFhBbAwoZ/w1NSpU8vrEg3uZLLRbYv+xMm7cykChGAKee+9944ZM2aUZZiM5QorrBAIn7zuLZkno98g77XXXmWmVnaQM4d2wiWoMfDqLZke9cdTMLYZTkJgFhsGzvVH78bXC4IqyDG2m20yt1IDAAAQAElEQVS2WUnkUIaEmiE94IADAo1nnnlmma1tznNIZLPwh3pmnbx7zPC2wbA0PKv/40OsnbXxJ7mV8TZrSKfRbfRcOymanF7Dy4f0vKJBFtgCziXnfLvttguBrJ5x4skER14d/EaurBaw5Yg2vEd+6BCOihnG5rx2BrpMEHHGiLPPVje443/HAllOslkOM4oSdZdcckn5joA6E9SloWzWOCCcfLAz5IXNMA7kgzPpPVxOe+OgS/KoW8cCcp2PSdEP+Bkv0xv22VgYukavK+5wrcHd8SAU9OAZyVn6c9dddw2rzAT2+IYfalWShLUApEmmDBoPoZ/tZmtMOkh4wMAsLFychxW9JhGyzDLLhHP8d3LntSR4SWzz9zbffPPySsYg8Mji0MDestszZ84MugiejX2gs+B+0EEHBTwloM3g0mnkcXGeO1n3lplbwoFZzGRhKorFMidC1CiTyergknouAVIoU4PMqWN8BDfwMLO9pPrSD88x7vCwxeAY3bIghqZtzG780ILPGY+Gr72LJlPaONrHHHNMWX7uAziCV8uRKQSZPwrTPvrxhewhXiE3/TBeI/uAVuOEPsGErXMj6w3SMfoYN4GtGSvLzmV2LUtybZBoXRK04B+yo+B5DqXnwhLOZg3pxR122CEEt7CWSGBAyY/7zDSopy2FQ6IN8ij41ZbjWsaPADzZKQ6fWS88zzGhr30nYNttt42jjz46pk2bFhIPtvRXP+qs8VPfP3c0eK6//vplVpa+YVO23nrrMGOEz9/2trfFIYccEl4TaXwr49fc2z/UTE5P+BlwWXrppYsusbJKYAIfs7SCPDqGHRbQ8EckcCantxPzVLTyMdDnCfbxCF0puOdvCHDZcjipN2j6Ez3sDFobDNgRYy02gQUMBGMwgYO67oMXWVOc4/eoQ/e5Dl9tDmvBS2I8Cf/DDz881llnneALK+wFncWWwIo8brrppiHB7b42YlaC26bjlj6Yzqc4ttpqq/LBnGFhCM6BZQ6WPVAe3tcjIARmypQp5SXsBqdh2DLKFIfx56hSGBwjjN8m+vXf7DtDYFxlzGWtZNNlPgm0sVcs4yX0eJ8SkA0U8FKmllS6j6ATeu/x2u9XLIyTMUMzPhZw4OV+7W8v+iUA4wgZJ06QDyL4AjojN+i09wK/7jbwD55p+MdSL/qAc8HJ5GjAlWzhLzMKkoIcCVl2M4WcFIEtvSHI1QYnRX3tGivPUbqfXffHhgAHTzBLTxkrtts+XYf3jYfvJKy33nohULBypcrB2LAdby12BtZWOnl1RVJ8t912K6vgHEu0kRF1vFPKp3DPOJ4z0FXx8mqrrRZTp04trznQFVYR0htmkfAwh9uMJb6GoQTbIIFCD6KJzqRr8Q19S1+uu+66oUgg8lvMaPouCB5SBgUHtLALbAcZkiiCBdu+8847l9eL6DlB1y677BICX7SzJ/BSV0DLf2eHzFJahclXg6+6w1zgQw/RR5Jxvi/T2Av4CXLFgVYykkW4tRWvOcEtIihcCsWyM9lf59pK2Hj77b2kPffcszgBMDCwFC7ngWNAuAjeeNttY310Ui5HHnlkfPzjHy9LPjhFbeQHtMj6nnjiiXHssceG2QvlsMMOC9l02XXLWaZMmVK+lG17xBFHxE477VQ+l+5DYu9+97uDMdGOe/bff/8Q/PYzHvpGmZPlU045pXw0Cz+3kR/H2mf0cS5POOGE+P3f//145zvfGR/4wAeCEndtrO3UelE+xCWBc/zxx8d+++1XHKtPfOITsccee5QPdX30ox8t5yR6vLPO0TArZcn/u971rpAkUocOIT/qcfaNjetHHXXUnKwwGa2Yjx8BuJFx/E1fcf7gLyNveZkEBAfRuNB3Egv0wvifVO9YGALGgo00BoolpWZE2Bdj436BCn1sRr3qI4jMLfBzxN7Ci54R7HK+fdDThAs9ZDWVIhHd3OO+Tmn3/+gRfPAv+CuCV3qU7NLFPpJIzwrcZsyYEVbJDJo8w8C48zvRSp996EMfKrOMeODAAw8M58gXvcdvh5W6Ensnn3xyWIbMx+P38NfIoIB30LBaFG6HLxzoIgEuXpMsYi8k3uApDpJIYVvUXZTn9MM9JbhFMEIIFqedknauHzq4pPqAZlPyK6ywQlEazXNlzWQ24NOcG4at4FaCgxFpO/0NX1NwaEGb2STHxtzSSoYCzxNm9TmGeMI593TXwxNt4QF9RW9DS1v6vSj9NFbkFL3GUDF2aF+U9ob9ngZLsiK5B0v73TwFa7LBbsAf1nQG2YK/+or7yVijU9QZdnx7Rb9xMpMhMQdnBc62xgT+rtnv1TNrO69FAL5kg+3A62qQmYbX2Rb7imu1zIsA/OgP+DUYwdM+HocpXeOcuvPePThH5JVeJb/2FdQ5Jtf0qn3nxl1acAMeQL9xRqd946/raGdrXHPsvOuOFVi533k60eSU647Vr6WDAF0EFxjBC6bkjIzRWeRL6dRu5/8luNV1hCiIth2Ggm6lobWhvdk254dpOxKPtmLRTYfxQ8eCijpNaeqNPG7O2zbX+m2LbqXpl74qzfEgbtGrNLSh18yIYr85X7f/U5Z1LQgHOCpNHfg1pRvP5lz3trmnqddsu+t07zf163bh49KNkfFRus+NxNXxyOvdx3V/fJjPDy/joDTX4d4U57r3Rzt2bpgL7JRuDEbDzPWR550blNKNQTedo+13nxsk+heEQUNnQ7vtaOea87bd9qepO5btINbpxrabPjg5tlWafds2F/TODtqXClldGY5hK7JAshfddPtAR/fxMO3L3sh+tR0D/TeuMlHDNH5oNX7G0f6wFNlsdBv3YaF5ouiUyZX9NkMyUc+o7S5Tvki5qDiQb/y+qPfX+xYP/278zHQo3efq/tjxxctmioZZd/O/zVDaDivv8MWrThu73IyHT9hy/GVFxHjuW0DdxbJfE90uOZoT3CJ+oh/Yj+0TKIq1H/s2GX3i2BKCyXh2L59pmbFxHcbgVmDCYeglnv3eluAW3f3ezzb0jwGUGGIg2tDfYewjPV0dwYlxBMfLT2yM4HaYg7PxYtZdHy/zw4YZP/43v8u2G5th2idD7M4w0bykaCVbs2cxh2YSkxyZdZ6zLNma9CVeMiNz8oroHgiZk9eHzP55NixgomT2T78yx9cX/VfQkzm+ezPbXX8Yac5Mwz2puiQzB+b5wMwcHHoyB4sW46NkDhZdme2jh76tY7Ho49YshRxmDNGu4KXMRccys733ol/JbC8Nmf3Zd7gqw8JfaFXmBLcOauk/BGqPKgIVgYpARaAiUBGoCFQEKgIVgYpARWDhCNTgduEY1Rr9jUDtXUWgIjAkCPhIiDIk5FYyKwIVgYpARaAiUBEYJwI1uB0nYLV6RaB9CNQeVwSWDAICz1dffTX+4z/+Y1wP9Lt7jz32WPzsZz+b733q3H///fHoo4/Gr371q/nWW5QL//Vf/xXPPPNM/PCHP1yU2+s9FYGKQEWgIlARqAj0CQI1uO2TgajdqAhUBCYRgfroniDw7//+7zFz5sx44oknRm3Pez/es+u+6HjWrFnx13/91yVw7b7W7At6r7vuurj++utL27/85S+bS+Peet7Im55//vn4p3/6p7j22mtHXqrHFYGKQEWgIlARqAi0CIEa3LZosGpXKwIVgYrAkkLAbOaPf/zjeOmll+KVV16JJigUoAo2f/CDH8R///d/x//9v/83fvKTn5RZV3U22mijeOtb31q6+Z//+Z/xox/9KAS9TmjnwQcfjF/84heh/eba1KlTXZ5Trxx0/XfHHXfEPffcE/vvv3/svPPO5Yq29EMfzOqaddVuuTj7P7O7L7/8cnz/+98vfZt9qrT/wAMPBLrMMmtD35dbbrnwlXXtqVdLRaAiUBGoCFQEKgLtRKAGt+0ct9rrikBFoCIwoQgI+s4888w466yz4rLLLouLLrooBIuC3RtvvLGcu/fee8tM7Ve/+tUws+r4tttuCzOhgk71Lrnkkrj00kvjpz/9aQhSv/71r8d9990XlhhfccUVcdNNN5Vlxn4WJDNfQ5N2zATfddddYcZWAHrGGWfEd77znbj99tvj6aefLm08/vjj8dBDD5Xlxeror/5ffvnloQ8///nP47nnnovTTjstbr311rAM2kztNddcU+hqfjLhNR0Y+4lasyJQEagIVAQqAhWBSUagBreTPAD18RWBikBFoB8RMEP7ve99LwSFfoPwM5/5TFm2++yzz5ZZV8HvlVdeGTfccEMpfqvR7w0LbF0zQztz5swwm+t9VoGxd3HN2Jpp1bZnCFqffPLJ8Nuto+EguDUD7Pcwf+u3fqu8Fytw1Q+/3yc4njVrVmy55ZYlSD7//PPjxRdfjAsuuKAEumussUbcfPPN4Rna0ofMLMubPd87vGaF9T3ztcH1aH2q5xYVgXpfRaAiUBGoCFQEJhaBGtxOLL619YpARaAi0EoEfud3fifWX3/92HzzzeOQQw6JtddeuwSWyyyzTLzpTW8qgeRv//ZvxxZbbFECy3322Sc23XTTsMQ3M8MsruvbbLNNvOc974lVV101VlpppVh55ZVjww03jFVWWSUElAJOQabgVrAqGFYa0AS1b3nLW0KQuvrqq8cmm2xS+rXffvuV51la/OY3vzkE4GZfLTl+wxveEDvssEO5Z6uttgqzwgJk/bZkGl1rrrlmCJY93/ME583zLVnWp6YPdVsRWGII1AdVBCoCFYGKwGIhUIPbxYKv3lwRqAhUBAYTAcGeWVszsGZXBYiCQu/aWuYrEDRDaqbWObO1ihlVS5A32GCD8m6rWVOzo5YUZ2aZVXVsVle7ZlItEbbc2X32b7nllvI+L2TN9OqHds32Cl7NAluGLABdd911y3vB7tMP7+8KVs0Wq+sebXu/V3u+5vzwww8Huq666qoQ9D711FOhnuXMnmM5taBZ/VoqAhWB/kKg9qYiUBGoCCwIgRrcLgideq0iUBGoCAwpAoJXpFtC7KNRBx54YJnFNaO79dZbx7Rp02LjjTcOweUuu+xSlh+bfd1ss81itdVWKzOsM2bMCO0IYAXLZmu33XbbsG8mePvtty8zv2Z199prr3KfD0BZWiyg9XzFc3bffffyDPfuvffeMXXq1PjN3/zN0J7ZWR+TMmusHTO3ZpSd9/w999yzzBhPmTIlfJDqda97XZiBNrtrObNZXDPUinYse/aeb9S/ikBFoCLQPgRqjysCQ41ADW6Hevgr8RWBikBFYHQEMrMs511vvfVCMCuIFBz6GrJAd4899ohDDz00BLaWLS+//PKx4oorhuXCAl+Bp6XKxxxzTAkoBZzqHHTQQbHddtuFINTXj9/2treF4PPtb397WW4seBYEW7KsZ7YC0KOPPjoEtJ7heQLn17/+9WEp8o477hiCan2z7Fkb+rjrrruGwFV9fdIHfRLgTp8+PdTRnwMOOCD23XffspTZvdpQ1/NrqQhUBCoCFYFBQ6DS3gkMuQAAEABJREFUM8gI1OB2kEe30lYRqAhUBBYRAct4H3nkkfJRJj/lY8Y0M8usq4DTLK33XG0dZ2aZpXWsbsz+sy/Iba5nZnnP1nnnRhb3mcUV8HYHl86raxZWsa+NzIzMLB+jck69zLnn1GnqN9fUU1yzbYpjdQTwBx98cKy11lqzKaj/KgIVgYpARaAiMIQItJjkGty2ePBq1ysCFYGKwEQh4GNQZjUtB7aMd6Ke092u4NLSYh996j6/pPYzMwS3AmyB+5J6bn1ORaAiUBGoCFQEKgK9QWBJBbe96W1tpSJQEagIVASWCAKW526zzTbl3VlfFV4iD60PqQhUBCoCFYGKQEWgIrAYCNTgdjHA6+2ttbWKQEWgIlARqAhUBCoCFYGKQEWgIlARWFQExhTc+rmFRX1AW+/rprl7v630DES/J5EIPPDf//3f5Wutk9iN+uiKwNAh4Gd9lIkivJHt//f//t9CH6Fu0xdbZaE3LYEK+qUsgUfVRywEgToOCwFoIZcXhN+Cri2k2Xq5IlAR6EJgYbK0sOtdTfXl7muCW7/x5ycQOPJ6/MMf/jAc+83A5pzzg1r8zuLTTz8dfg7iV7/6Vfigyu233x5w6RdHZqKxz8zwm5RonzVrVnT/JIffiLznnnvihRdeaEWgR0CN6f333x9+29LPjDz33HNhjP0m5wMPPBB+c9NYw9VvXuJ1v3vJ2XUe/z/55JPhdzTR7t5+lQU0jCyvvPJKfO9732vFeI3s+6Ic41F8e9ttt8UPfvCDwAOL0k69Z/IR8BNEZJTsTlRvyMd1111X9MOCnkHmH3rooVLvZz/7Wdx8881BLyzoniVxjX6mkx5//PGg6zwTzz///PNxyy23xA033BC33npr+TCYa7VMDAIwf/HFF4u/xF9w7El+BuvBBx+M66+/Pm688cZgQ/CPa7XMRQBebDLbq5D95iq7jMfJ249//OOhsWUN/XVbEegVAvQRe8omkCl+btM2GWRDyB8/qs0xz5zgFlGM/Ne//vU488wzgzIR4FxzzTVx9913hwCPYWfgGyAGbSuQv/TSS+Ouu+4Kv+1IiaL7ggsuiPPOOy8EOoNG80h6MrOcMvZXXHFFfPKTnyyOkZN4BD98+tOfjvvuu68VBkafBbOf//zn46yzzgpCK0i98847S8LiwgsvjE996lOFvwmycb/jjjuK48ppvPbaa8NvXnJW8P69994bzlEAMOn3gp5zzjknzj777OhWYv3e70XtH74V2N50001xxhlnFLpffvnl7ubq/jgQIBOTyTfskIDg+tmBAVkeR9fHXNWXoGfOnFmCjgXd9F//9V8lWNQXtpJc0RULumeir7FJdJJ+CKA4LAInYya5c8kll8T5558f7Logd6IwnGg629A+e4GPGv3DgWQzfHWc3bz44osDz/CvJIfbQNOS7CNbJRnD38THkgAccRiy2fCTcHftpZdeWpJdq8+qCAwEAuyCOIeMiXW++93vBhlDHNsgOXfllVcG/5jt9UsDrrWxzBPcIjKz87MKiDHbxYj7jcHVV189BHmcR9cGrRjIb3zjGyXg2X777WOZZZYpP1nhNxv9JuOyyy5bfnJi0OgeSQ8GV9Drdy0xt0CW4XaeA+Uevx3ppzPs93PR/ze/+c3ltzD9tIff61Q23njjWGONNWK33XYriYwvf/nLZWb2jW98Y/iIjt/2NGP7b//2b6Gu39HcYIMN4vDDDy+/69mGL6kKTGTmJGsEeMYvBvxPtt/vnh555JHh51zMXkluDDjZPSZvbnNkn8NpJQsdaeaEs463GEpOOsfTigjOKf3gOn3hPP5zrK5W8aDZGbOM7I1zikSiNjitgkgGWHCw9NJLx8orrxwcXPVGK2wSp9c4e45i3PVV8Oce7ZvFb9rXB/ega4UVVghfR1aHvWvucZ/r2hEw6gudoS++qPyWt7ylJIFdcx/6OQdox4f6Q4egSzKMsw4L7faqaE/Cjj7ea6+9yooUuNF7W2yxRfz+7/9+nHzyyeEau9ar59Z2XouAJINEyVZbbRWrrbZaSa7hhTe96U1xxBFHxB//8R/Hu9/97mI/Vlxxxdc2MORn8DEZZW/xrmCWfiE7sPUF9R122CHIG5s2qHDRf3AwmQQT+gat9Nqzzz5bVs3Zd25Qi1lDtsOqHfvoZDvwAp1K5zun0NFwoV/pdecUPg/d3W1nnB/mwm7zcffff//g3/Pz2QqYsHsCXnZr1113Db9a4Hxby5zgFoErrbRSbLbZZuU3Ax1jLELEkPspCM4KB6etxM6v3wacIHEKOC/o5BwJigiOLAahYajm18agnTf+lMkBBxwQHCjYwIgT+PrXv75Vgb6fFzE+lhtzaM3GU5B+6oSgH3300cEB+Zu/+ZuydA99xtrsnwB+nXXWCY4t4ee0qqtNfKPdfizGjrOOlzfZZJPwm6H93N9eYSiw5RwZI0uxJakEIb1qf5jawetm/qxa4WRZ5eD43HPPLUsvzWB+7nOfi8svvzy+9rWvhfMC4csuuyzMVH3mM58pK16sGuCoctLoENfoVzOyglwO7Gc/+9n40pe+FGSOk2KZsHboXvfRR6NhTzep1zxXUGzmTD/127M845//+Z/jK1/5SlmFwmlEixUYZtIEpuycfuiTmTUBKadIPcU5tiAzy2/5LrVUx3TSAxxRfdAXNpODIBHsmZ5h1tTqD8uY9UuAHT3648CRc3rMF605gvoBLwGWL14LugVdAuDM7NGTazMNApkdTCWC6FiYsyF4AfaOl19++XDO2PClnGvuH/ZtZgc/ckrG+Jt8LzYaP/O96B8JAXYMpvTHoOFGZtFGn9KFVl5YbYaP6CI6xowbnOgS+nnQMCA/zz33XLAHbIZZRLqT/np2dmBvNaHr7AQc6N5TTz016FW6ls6nD9mZ73znO+U83LqD4UHDbDz0/MZv/EaZuKOHrOSRKCJz/EW2k8yRM7zHXzYe42m/n+p2LHRXjxj55jCzo3Qysyxp5GQ01wZpiy6O8Nprrx0cAIEcgRLI/+Zv/masv/76ZTmrpV+DRPfCaKFQN9xww2CIOY+K4JYT1UamlxGl5BgQhoRAG3tJnQ9+8INhNpZDzpAKZAm9oDazIwfOUbZf/epXg2LtZwwE55xyjjylJain8Bc25oNw3bgI6iluM/M1uF20USUfZJ1jLvATaMKS80k3CqwYyWnTpgVHy+zKTjvtFJxRDgjZYigFXoJDY8LRIH9WT9C5lsziVTqXTNIvZJQT6xmeqW1B5GhUcHI4f9rTD2Mu6JaUkqgks9ozo0yX649ZH/2m1z1Tf/SVnpOt1qYgV2DM2K+yyiplFY/+wCSzow8ysyT56AgzBNqQVKE/0M/x2nTTTcvrLALaJlHoHX/tjEbPeM+NbEcf8H/TDtoECFZeNeeW1HbYnpOZc0g2DnypzLnnyIvzZAjfzalcd+YgkJlFpuDEXruQ2TlnH787383jzg9KQZcgjs3eZZddQgLeCkpBreBttdVWC/4KfUrHDArd3XSwBxJFZhVNtvFhrIjhz7hmZQTaJU3N5LIdkth77LFH8cvo36uvvrrM8E+dOrU0jZ/KTv2vvE6Ir9gmSVx2m64SzEoqwYzd+/a3v10mttoK2WuCW0yAUAQxiJwKDMVICv44CK4NUmFoOCWZWWbwzNRxRjhVlqxZCmNJq3qDRPeCaGFEBHfqcBoFtplZZgDxCCXsWhsKWowdod18883nLAvjbON1DjCjccopp5Tlj7KmHHRLozgknGe8wOG25ZySC6Wf6ce7jAPaOQS2/dzfXvQNXzJugpnp06cXR8DMXC/aHrY2BG2CPY4D/Z+ZwSZwIgSOdCJHi11Q1LN00H2CYsuJ1SdH9KvAkzPCsGZmWQ0hIy/gFECqZ5WBYzZHO+TTmMKeHNu3dazI0tuasd9mm22CfaK3OEY777xzzJgxo/RZXzhFkpeCXbIscWd5lmCdbDDsXj3QF8+XDDLL5pzA1D364/lK0xdJMbqAjAmqzdChGx3rrrtuwEbbAnf983x97kWBq6JNdAvQjYNAXP/gy5bpTy+eV9uYPwLkAR/BXME3+IJ9wS8ccjxCZjJTQ7XMRgA2szfl9QN6Ax+zv2SVzJFBeoUtds0xDN0zSIW80o3oZrvpIVv8g3a6BT70DT+EzA8S/WghP8aWrjTm9LbZRvYHT+AHMgULtoRepdvUs4UNHqHzXGNT2AB6V/u1REkeSbDxj9gmePLpYUu22E5+soQ2Oxgt/ZsnuGUQOe6yRBQxAjGRLIhMCkeA4W4prfPtNho5IZSsZQ9oFezYl70Q2GEG7x7Pt5EBupCZ5eu6V111VVgeSMkqgn5ZMpk0M5cEot/JZjBkQQU8+NqMjGXJZpAsoxS4+kCFOgT9/e9/f/m6LkXqXetDDjmkfJBFltD95AIvcFwz+9dBMVvmPbs999wzBAxoE9z3+3gtbv8oZB8P8zEpsvupT30qBLqL2+6w3s+xskxY0MTBkviRQZflJQ/kCr5mQ2FPnsw0sCWWDrIdZkLxnplSM6x0hw/vCHY5H2RNe+TSM+hfs6Zk0jPM3mrLs04//fTysQtybUzYKDJpGZvlaZw+xtlyY8f67j6zIeRccEEWLMnynr3+MeD64jn0AudIYCKIp+vUowvNxKrjec7LeMt8cw7Qa0WH56LfNTPT8HCP5ztvyTS69EP/F7dwfjl2cKKj7GdmWC7OwROM09McxMV9Vr1/dAT4Da7gbft4BX+87W1vKx8qNC4CETySmWWFkPq1zIsAH0yiycoLfsc+++wTL7zwQvDD+B5kyb5AZRB9MYEd3YN36CyzZ3Qh3eEbIGw6bGbNmhWwIuvzItj+I3qdfhWHWA1jaxICLlYFwcQMtlWFviHAXsBLHfxhS9bgZfWl12Us4SZ77Udn8SjIzLCKxxJuS7bZQ4lQK7N8WwaWeAy++Mw7ua4t3lMn7+6luh/NSMtQW6IpY8+h2XfffYtzzNE3jS0Q7L5nUPbR6qMPZrpkNOBAQGSRZPjNAmCEQaF3QXQw0Jj8qKOOCsGRjNhHP/rR4PDB58///M/LPmW8oHb65RoBfd/73lc+6sHJlhXkuDKextiMD+cvMwtdf/AHfxBeqIfBscceG8cff3z5QIisFnlwzkxRv9A3Wj8ysyylJK8cAY6WrOZodQfpHDlG63ve854gs5ITZlQGicYlSYulcfQi3f+hD30odt999+BokinOBVshWKQr3vWud5UPM73zne8sH6vAe7Lv5MsHvjiuVsGQO8kyW8vG6VWrJg488MDyXqKVIto47LDDwta9CpkTGAqmm+CQbpaQElgInunrgw46KNzr2HMko8j03nvvXV6xYMt82Ifso0W7ErdokNT0LEGz6+9973vDx+TwkH6Sf+/o0yFo99EyM6fO0Sn0JRzw3cc//vGCB/zwpJkE7eFLtrYX42h2G+2SBPqrbeNBT5sFgrkZ60FMSvcCv162gQ/wAJ7kiBsDY6GwLykqz14AABAASURBVHgNb2f2b1K0l3iMty0zR9OnTw8Y0RnkFHa+oQBLsmdWE7aSy+Ntv9/r87vYaEnpD3zgA+XdSHrERyz5YO94xzuikXP6hj4qNA3Qf5kZ9LUP4dG7ZOnDH/5wWf3imF8+derUoMvp2hVWWCFOPPHEYFfo+o985CNB37FTJ510UuElq4zMeA8QTItECv5iL9gudpl9JG94i31n49hj/qIt28afWqSH9cFNJbjN7ChbCnijjTYqxpzgZGZgGMxCwbjeB33uaRcyO7Rr1CBTqhSI4B7NFCkm4Jhkzq2r/qCVzLn0MdSMCywYHVlCzhJlQ6kQhH4PbjOzfPyFISTEnHH9VvA0IWY0OYTN+HLIGVRjzgEV0MpgcSBlS93HwKoXffiXOXcMm+5x+PFyv49X09/F2VLGDB0HAZ9yNo3/4rQ5zPdyJOhA8sEAvv3tby+BK/0omKIvGUtbssRokhVOR2aW4I4sOQ9HTgbnlZ2hbx3TNWRTQEnXkDNjSD6Nn7bxL8OsLaWRP+c8T2BsKyHlWYJVwbNn6Iv29J8845HGeGvXPfqDXzzTOe3qr/sYebRNmTIl9F07ZMo1CT8zSbDgUHHA6E316Q319Ev7+NA1zhbdov1FKZnzyrjgXJ88zzhJPMyYMSPQhQ42XB8X5Vn1ngUjkJllmZ9amRnkBQ+xk8YYL7Oh8DcuHHd1a+kgkDkvfmSEHlBgRreQH7xM9mDJFxlUW4ZmvEPnkWV6hD4S9OItuEiS0GmZ2QFxgP7PzPKVXjaHH4ZmtgEWsMEDdCkdSpfTffSeuvS+umSMjqf/2QH2An4DBNMikZLZeRUIP7FT+IgdZ3P5x2wl+ePjslNTpkxZpOdM9k2ZHbkowa2lZ8NYLNmyDGJBtFvStaDrg3QNrbI7g0CTcTW+aDHLYztaQXNTuq87132srTZgg+6Rfe+mYxD3jW8bxqYN2DdY2i5qfy0NtiQXH3on1pKyRW2r+77MDI6ugJI8dl/r1f7i0N2rPiysHX2s/P6r8qGuhWE1kdfxOR4fyYvGZyKfO0htN/h1Y9a9P5JW9Ueea/sxesmzbdtpWdT+kyG+y6LeX++bvz7EVwJO2wanUeRo0vVp07debNG7FKbyJTLvNA1b8dEHa/eHje750evdNwLgPbL51WnDee/+GVfvF7Shv73sI8VgHHvZZr+35V0RjqZx7/e+9nv/fEXYxzsWxyYYB7OxXgUQiApwe0G3Jcnep+pVe73o02S0gd/J+WQ8uz7z+WgwwOfe11bsN+frdi5GC8OCrSLTbfc5Fkbngq7Ta4IN2wXVG+RrfHE2fJBpnCzafCsCf7Htk9WHJflccpSZsZSMEcJ7Vv77v8sXZ9vQHtqVNvR1SfRRomNQ8EAHepYEbv30DHTLgPZTnya6L+hF90Q/Z1ja7wWWXmGxrMlSMuPTC+wk3gR1tr1or61twLMXY9RW+vup32yM8einPrWpL/CrvPzf5SOWbRq3XveVDFU+mLjYadiwjdl/ZVlyZpb3RjKHazub/vIvc8nSndm/zwNIZv/2L3NsfRsUOjLHRm9mpx66lczOcebgb9GrZA4+rZkTT2MvsGRMG8e1F+1lTjzdme14BjyVzHb0N3Ow+1nHYvHGt+KXIBhKHzwzC90FgNn/ZXaOM+s2s3cYzIa24JzZuzYz+7ct9Jbg1s6CSmYu6PJAXsscPpoXNpCZSwyThXVlwq5nZlECE/aA2vASQyAzl9iz6oPmj0Bmlg+7xRj+MnOO/A3qR2PGAMMiVcnM+d6XOf9r872pXlgkBDIr1osEXL2pIlARqAj0CIF5gtvMLL/B5stimR0FzcFw7Mt/PXpmXzdjOR16LZNoOop2X+c0G9GcG/Stcfd1ZD8hAQ8YKJkdvhhE+o1xs9ym/+kbWw8bfs4c3HGbHxLGU5nf9Xp+4hGgM71L5aNS9jPnz4f0iyXHdG9mht8mdM/E97LdT8Dj9DX8yPtIalxTZ+T5etxbBPAq/DM7flTma3ndOBin3j55MFqDH3zwKxxtG8pgxg9xzrXM12Lb1K3bikBFYOEIkCny1l2TbJGxRta6r7Vtf6mmw5kdZXH77beHH/DlZCCSU3LZZZfFM888Myej3twzSNvMDAONTj9u7EMH6IOBc/fcc0+57tygl8yMn/3sZ3HBBRfEGWecEXfeeWfcdtttcfbZZ4ePNMFpEDDIzMLTmZ2tL7z64W8ftyD4DY2ZneuZ2Zyas82cey4zS3suZqbNPCUz51yf58IEHGR2nuVHza+66qrw0Y7MnIAn9V+TmRnG79Zbb40HHnig7Ef9W2QEMvM1fJuZ87SXOfqxQJX+uOKKK8q3GOjT7hszs7SdmfHkk0/GJZdcEj7Oc9dddwVZ9I6tsey+p9nP7NzrOHPuvuNhKfD08S8Y33TTTUGHOdfQb/+ll16KG2+8scyeZ2ZzqW57jADH8OGHHy628o477piH3zMzXH/ooYfikUceKWPR48e3vjkO9dNPPx180FtuuSX4nmRf8dGum2++uVx74oknWk/rwgjIzDl6sbtuZnYfDvR+ZhYMRhKZmSNPlXqZo59/TeV6ougitoKseX0oM4ufRLb4+mSNz0j2oqV/JbjNzPJCu69QckIQ18xgIZbDweFHY+ZrGcj5NpfMDv0Mz7XXXluUqg+hGFhK9eKLLy4Bv+M20znWvmdmYfSZM2eGwMjMCydJwM/ZzGwXD8gIx+w/WyUzizK0T7BtM7M4I/fdd1+QA/TOvmWeehz1zM69mRmO3Z+ZqpZjbSmuKfbLxdn/OVZ/9u6E//NczgEnAU/7Am5mp58T/vBJfEBmljGjuL/2ta/FrFmzSlIqMyexV/376IX1LHMun6ub2cERLzfHmVnsh2MlM+fIAjkyA/v4448X+XKsZGYZJ+3g1cwMsmG8XnnllfjpT38aeJfuyUzNlmc0dTM7z3C/i7ZKZqeuc4Ne4Oir8BI4vhApIX333XeHYDYzC76wp8MlKiUlM3PQYZkU+jKz4H7vvfcW/4H+4Tiyl8aJ72CMzjzzzKKTMus4dA8UjF599dVgf8m+L7uaZGDD6AUJgQcffDDwuK0JB8mC7jYGZT8zi65Dd6PTMrPIs+NGBw4KvSPpyJxLKwya65lZdptzmVkwycxib0aeVxlemWm3ll8jQBeZvDr//PODb4ifyB+7y/6SObqK/vIVa9d+fWurNiW41WMEWoK68sorh61zmRlvfvObY/nlly8OonODWDKzGCQOABzWX3/9+J3f+Z2yLE5wb4DR3dZB1vfxFBj40ukKK6wQK620Uqy99tplu+mmm4alyo0SGU+bk1lXYubZZ58ts9GPPvpo+DQ6B5AjyICaJZKlQqufMOEwukcdSuD+++8PmSxFsgMtAn3JEO3hD/czzApHnpKQhX7qqafC7Km6zlkVgadgmDmxSleCBk3GEu8aV30f5JKZQUn79DzHEq2ZE4uzZwxiwTN4mzMp4cnhxEON447PJUHJiZkqPG4W0U/VkC38LqmCBwVWHFIyQb60zYiqIyAgZ6uuumrRu2Zw2CH8634zup7N4JI3z9Mn9wmAXbeypls+ezgefdsUJwUWcFl99dVjxx13DNjTOa7pOMwFDcYN5s7V0lsEMrM42fgRzuyk8bj66quD/OB99sK4NMmazOxtJ1reGozYSXrAz4dNmzYt2GZy7xy5X2211QK29DpdQz+0nOzXdD8zA6/gJfQLMPgcmZ3zEln0Lr2YOXg8lJklCWq8+WU33HBDWTUKKIkN+gwGdB5Z40eRK/pfoNb4VupKiLBLfDn31xJlxQhfFWZ4CIaZWeI7q06c22ijjWLjjTcuK1DwYlvtRgluGwIFsiuuuGJR1BiBwuGYvOENb5hzTl3XBqVkZpkx4HRRmgI6RskyL06cJXKCO1lCWaBBoXssdDAenFXL3S6//PKidNvI6IIdji/HwnhanfDtb387zj333OJ8MCKcZWOcmWXm1mwHRaruWWedVWjn4FO2HMgrr7wyOI0wwi9wYnA52wIrmHHSOZ/aOv300+dkpR1rY6KxJLdvfetbyxKUsYx32+tkZsnsU9x01zrrrFMM5aDprCUxTniTvHAYOBP4W4KITFx33XVlCTG54EBY2XPqqaeGJJA6VnxwVMkOB4Ve5aCSvQsvvLDIndkZckOmOHCcEIGy56KPrs3MMoPBmZM0ErAJmr0mQ37JLCfIqxOcHX0hfxybph1tDWpBowQB5/d1r3tdkHfBlOPMzqslZGHq1KnhOkwnBovhbjUzCwDPPfdcmUH6rd/6rfLtEv4DnoY7eZDUWXfddUvdqpMKDHP+I9t0DOcar0qik2krD5xjR004sLf0EpuO/+c0MAA76CG/dOQ555wT6KY/JQAFGWba6E30813IPjs3AKTPQ4Ig60tf+lLwp/AAO8F+sAH0O/liL/hi/PZvfOMb5fUjeo9v5R62gc/KPrjfNfjO86AhPKCL6CXyJFGEf+iiRv7YavJngtMkEPlrK24luG3GGJGIz8wS4dt3TmkrgTGGP/RRlm95y1uCQ/zGN74xKBhLiDhMskKUDEcMDpkdYzaGpltdJTPjd3/3d8vM7TbbbBNmU9DfJqIyszgalKNgk4HkcBBeZcaMGTFlypQS0BJw9a655prACzJYkj2cxp133jkEipxFjoqMMqdRhp7D7z7ZLoFtEyTjHYpYO3jKzNRuu+1W3n9lxCYaR3xNhj2nbeOmz+MtcKe4jZ+AyTgxgowlLMbb3jDXhyW+5iRIcO6xxx6BjzkYDJ6E3w477FBW9ljtQE+87W1vK8EoJ5WuMJNIZmBP7rbYYovSBoeDk2JLJjbbbLNYZZVVSmDQjTmebYwvR27ZZZctSVbnyCRdvd1225VXKKy2MeMjEOb8ZWZ3UwO5D1dY0GvkHN3OORbgc4AlA8wCcRQlIdTJHHxsluSAw9zz6Ho2xGwSJ9E4GB9ydM1sm0KWBCr8CLpJ3cw6FrCD4dJLL10SsXgZfvBR6CION1wV15133yAVGAje+SN8k9133z34H4I1cmy7xhprFN+EPLN1sBgkDDKz+Jxkh2/FxghM+VsmDOh9CSL6jY0nXxIh6u61117Ft4ILu89ebLjhhqEMIr+Md9zZU3GOYF8imh6yxVt4D47wxFNsPLlzz3if0y/1l2o6ktmZwTRljZkaI2jLseCMAyBzsJQxmgwgB86Aop9iUTh0Bx98cBAcM7ocMPWVBrdB3TIi8MjMoCQ4jmuuueYc49MmuhvDSEEKQik6SpIgM6iZnS+zyqwbW9csbyEHnHIGR1FfNhW/aINcuMe+6xz+9dZbLzgxMq0+iEMJC3o5Pu73PME1uZpIDDM7s176iw7bzMGS3ZH44dllllkm9t1339hzzz1D0CVJ4bWKkXXr8YIRIAf4mqEzW2DL4cjM4HjiZzpB0oa8KMstt1x5pQXPu58TYjWQe40N/m8cN4bTObJAr7qXjSFP9I59PKsdsuVYttl5N0q6AAAQAElEQVQ5/SBHzuuHfe2RS/rb8xdM3WBchaukAj63EsQshmNjYimepMGhhx4aAn9yYTyMAUwHA4H+oKLBk+43JrCn/yVzGn7cb7/9QuFHSPiwqe5T+oOKye0FPSBZTJYlxySJ6RcyzX7R42aSXCP3fLJBk3O8QD7pUvoMnXQwfei8wudw7LqSmSXhN7mj19un0+kK+mDA3ij8OGMOA090TUDW1HUdH6nrOltBN+IrOMLX+WEtdBOsdtlllzjooIMCLuyzYtUJX5dtJWNWWZE/59zXRszmCW4pEQyBOUT4GIKSRpjAwPnMdDhQJTPDDIIsmdkEgzt9+vTYfPPNwwArZi1cHxYBEQQyLBQpYy0Yw/iZ7Rr/zCxBDqH2xVAzrxxoChJ/C2LxPEfbkkoK0rirY0kmocfssu/kg0JlaPGLd/0EspwaDgtFu/XWW5dl7gLatdZaq7yj7FmUrq2ZJbhq3zMzJwbPzAxjZum05wgMPBctg1rQSRnDnrxy6skuh39QaZ4oujgR3nGbNm1aWR5mJYuVCHClA8mG5fw+voav8bcssBlbgaqsuqX7+I7eYCCd04bx2WqrrUKwJWusLcaUnsnM8v0DOpjM0j+ML3ukHhlUjLXAgTzb9xwOMflkpzxvorDpl3bRLUgym4N+WEpAwhtWdJIAlwwYN/XovH7p/yD1g0zAWBKBD4FHJcfxp1la14yDWSRb9YaBR8c6xngZf9If7DC7ywmXWLNahI0l72Ys6QN4sm9jbb8N9TKzfOcFzZkZfAV8pO/oX3PNNcs5voiVdPwQ1/Ce7SAUtIg5yAba0ZqZJYC3es6Y03NsAx+dH+WcuuSOj0P/8eHM4JqlxDPsU2YOAkSLRQP/ll9EfugiWwkly7k1bJKPX8uWWtXIdyKbrrWtzAluMZPMkJnKk08+uXxACEOssMIK4Xj//fdv5azdWAaEQHGKZFYpVDM/nAL3cvIwgSUP8HBu0As8ZM2OOuqo+L3f+70QpGXma5YNtgEHfG0m4+ijj463v/3t8Y53vCNOOOGEsn3/+99flkMec8wxccABB5RM1gc+8IE4aHZW68QTTwzLLC0Net/73leWZmvDeQoAP+y0005lyQslIEPoWQIC9cwcHnfcceU+TqZ2d91113JMnqbNDhrgB2vbXhd9yczYfvvt4+Mf/3hJ0rRVSY0HG3iik8EzjtNnJ6nI8HjaqHWjLC8WCOHz9773vbH33nuHYNSMCfk57LDDAj+TBddOOeWUslzOzCy5OfbYY8O96nNateEdH+cszSeTZI5ckBWrHhhasrHtttuWmfc//MM/LK8CcOze/e53l5kvski+TjrppBAgW7amDQGz9sg05xcfDPo4otEYsU+WgCucOsu12WuJHskBibjDDz+8vI9OLww6LpNBn7HgP3HA6Vx+BNnYcsstiw7WJ0lU1yylr+MAkbkFfpkZksNkmt3ld9AJsLRPvsk8/SCRPGgYwoAfSnbpMcErPatYfeQ8e0bG4QMDtm4uiu3fg8HUqVOL34nWadOmxYc//OHyuiC9xqZvsskmwYbgDTIGKz6YxN7JJ58cVkywNWzSgQceGGQQVoPGL4sy2vCFA13EnuMpyWixD6xhRT+xyXzZzCy+wKI8a7LvmRPc6khmlg9PYASKGhAyIY5F95mp2kAWtMr4yFRw0DgNCHVelsg5+84NQ6FkGyyMPT5oM93GED2cavzs2NaY20ejgL77nPMyXbZNPfuwUFdAa/k6WYENpeG82RTteJ77XHesLbjaV889E108v3neMPGvsYA/B3+Y6O4lP8EN7zJ+SsOzZIjjhffpSXzd8FhmBhlx3eyU+/G8gFMhM9rRtvMrzE6eOo9PFe3Yksemfc/wTPdasqf9pp42mn39cI189hKHfm4LjvCBDbxhq+B92JMDGMFY3X6mpe19gy+s6X+8ix78SAfZNxb4WFHXuVrmIgCThndhlJlBD8APj5N92MJ47l2DtZeZc3xwWOAfGKAS3fxQ+o5sOzeIBW3khz5Hcze99vGD8/Q8vnDOMbthH27O04dWW2onc3Bjl3HzwOwb6CJ81dgJ9gNOsIMbjDPbjVkJbimVpsgEKYjvPtd93Jxv+3b2GJd/DR0Njehvztk25+0PcilgzP6voRHdI7ForvX7djYZ5V/TT3Q09NhvSnPOVnG+2dpvSvc5bTq2Vbr3HTfF+aaMbMf5pl4vt4Xo2f81bXqOZ9s25wZxO5vkkmEcSdug0z2S3l4cd2MJv4Z/7Gu/Oe7eNvvN9ea4uafZNuebes4358ayr25T1FccN1v72h7kYnyUhka0K46b7UgcmvPq1PI/o+qKXuDS4Ny9bfa1b1+xX0tnHEbjZRg1BU728bSt4twglW4M0Kmgs9mi1b6t84r9QSnoVxp60Kqgs9m65ti2+1yz79r89t0zzKUb2wYHeCmObbtLg6NrbSzonZ38WKr8tqDIfZylvMvY5ntke2QqummQGes+bvbnd765PghbWUIZr4bWZts22vTbuMpEdffd+e7jxd3XnjKyHeeaMvLaRB/LehrHiX5OP7Uvy4tumHf3a+Rx97W6/6ZR9bfZEbIjc9uN0UgsRx531232u+vYV5przXa0c821kdvx1B157yAdm52gp0fStCB8FnRtZDv1eHTZGA0XNkbpxrd7f7R76rm5+OJlM24LwmxB1wYBS7PU5Nl2YfQMKhZ8cTZ8YfS7Ph4MxlNX24NY2PLZgV75qbj50TdIOKF3TnBrGtpyj2ErjBKhmji6ly1fGm5L+5iCgrGErS19Hq2f+m/JhaBntOuDfE5gwkgOMo0jacO36B55vh6PX/8wfnSi5UoVv/HjtyQwq/zeP+PCxgjQ2JwlMfaD9gy8zFYPqw9qPNEuuLU/rEVCXpJjWOmfaLrxF9s+0c/ph/b5LiW49Z8ish+2gm5l2OieH72WH8BDmV+dnp9faqnodZuZnXcF0NPrtvu9PTRnZs8x7We6Mzvj3c99bEvfMjsfkMgcLh5qy/joZ/z6z34tvbcf48GUvlUyc6h07ngwWlBd2MXsv8wcWvzi13+WhS4Iq0G+9msIhpYHJnJsG2xtJ/I5/dI2OumV8s6tg1oqAhWB/kSg9qoiUBGoCFQEKgIVgYpARaAiUBFYOAI1uF04RrVGRaAi0N8I1N5VBCoCFYGKQEWgIlAR6BsEzCCake+bDg1RR2pwO0SDXUmtCFQEhhWBSndFoCJQEagIVASGA4Ff/epX8Ytf/CImK7gU2L700ktx3333xauvvjocoPcRlTW47aPBqF2pCFQEKgIVgUlCoD62IlARqAhUBFqPgIB21qxZcdVVV8Uvf/nL+dIjAJ3vxf+fvTsP8qMo+wD+NIW63AslICoYTjlEERWj3LciICqCJaiJilJqlVD+IX+8vhRFFX9QFG9x3/d9JxAgCQSWADm4j5Bws9wU9xHO8FLm05tJ/XbJsSS75DezvbX965menp5+vt39HP309CzmhaeeeirGjh0bkydPjqeffnoxSyu3f1YEinH7WREr+QsCBYGCQEGgIFAQKAgUBAoCBYEBR4Bx+uqrr4Ywa9as7H19/fXX46233ooPPvggfIf1lVdeibfffjs/+7333ovXXnstXnrppXw9pRRrrrlmbLrppmH3f0ase+VRnpuUM2PGjHj55Zdzee+//35+nnTX3aNcz1UuTzAPrDo5lq5MdVBudZ971e+qq64KO2Hvsccesc4664Sy3Pvhhx/KkoM0ZSrDPTmxRj/tXNVi3LZz65S6FQQKAgWBgkBBoCBQECgIFASGAAKMvzvvvDO6urri5ptvjmeffTamTZsWp5xySowbNy4efPDBeOSRR7JX9Pbbb4+HH344GJKujRkzJqQxNOW59957s7H76KOPxm233RaM2enTp8fMmTPjhRdeiDPOOCMmTZoUzzzzTNxyyy35OZ7FmJXn2muvDWUqX3zrrbfG+PHj81Ljm266KT9LfmUwdKvmcTx16tR47rnnsnGtrIkTJ8ZDDz2Un8GgtmR69OjRcemll+Zy5KnuL/HiI9Amxu3iE1JKKAgUBAoCBYGCQEGgIFAQKAgUBOqHAI8tA/TCCy+Mzs7OWH311fN7s1OmTImLL744eEt5PxmrqLvrrrvi+uuvz9d4XnlKb7zxxuzh5U194okn4vnnn4/LLrssG7Q8qJYqew+WB5fXlDE9YcKEuOeee+Jb3/pWNpYZte6X7pkrrLBCNoTlVUeGLe8tA5rHdemllw7feFUngeHq+he+8IXsXb766qvjgQceyOUzzi1X9uxRo0bldJ/R8S1a95YwMAgU43ZgcBz8UsoTCgIFgYJAQaAgUBAoCBQECgINRODjjz8Ohitjcb311outttoqvv3tb+d43XXXjV/+8pfxwx/+MIYNGxYdHR3ZK7vhhhtmo3GjjTaKTTbZJFJKYUmx/IxL77syJJXHSGWMMnjXWGONXM6qq64ajGDXV1lllXBPd3d3rLzyyvG9730vh5/+9KfhOuNYYLh6HsOXwfu1r30tWo3Tr3/963lZ9De/+c1cl8ceeyw22GCDXKbyvY/LGP7BD34Qyt5ll11i+eWXb2CLLjmSinG75LAvTx5gBEpxBYGCQEGgIFAQKAgUBAoC9UOAgchw9Q6q5b88s5YIC5b6WkrMmLRk+Y477sjv4lpSbJmvd3AFBqeYQcn7yojkAeYxZVR+8YtfDMZnSineeOON/K4uw/XJJ5/My5YtaWYYM2AZwcpm/CpTeZYa2wWZZ5kBzBhnKLeira4Maob1MsssEwxh9eHpVe7aa68d6FCO8ha06VVrueW4/wgU47b/WJWcBYG6I1DqXxAoCBQECgIFgYJAQaDtEGDc2gRq9913z17ZF198McfLLbdc7Lnnntk7yrvLOP3ud7+bjUae1y233DJWW221WHbZZcMxzy8v7eabbx7f+MY3Ytddd81eU0uXt9566+zpZeRuscUWwVu7ww475LIYpDzBPKnA2XjjjeMrX/lKNqK32WabnFf+4cOHB+OWV5nHVf3krwLvsDItk1YPz19//fWzMa3MnXfeOWdFA68vmnJC+RkwBIpxO2BQloIKAgWB+iNQKCgIFAQKAgWBgkBBYEkgwNO52267xQEHHBA/+clPYq211spLgw888MBgGDIGGbp777137LvvvsEQ3n///cMSX8amNMuBd9xxx9hrr73yu7DepbX8l7HLoFxxxRXzRk+WOTNaGcCeydi1FJknlmHqfsugv//978fIkSNjs802i2233Tb22WefDE1HR0cMn23o2pE5J8z54S3eb7/9YqeddgrPUmflq6OyGMwrrbRSoIHh63jOrSUaIASKcTtAQJZiCgIFgYLAkECgEFkQKAgUBAoCBYFBQsB7qYxcRiNvLk9sdWzzJV5XQZpYkEdex2JlCCmlqO5x7lrM+ZNXmutiQTkppbn3OBc8y73yWFpsUylLlRmu0qPlL6UUVdkppfwecHUuvCWgjgAAEABJREFUb0q901JKLXeXw4FAYKmBKKSUURAoCBQECgIFgYJADwLltyBQECgIFASaiQADlXeYJ5b3tplU1puqYtzWu/1K7QsCBYGCQEGgIFA3BEp9CwIFgYJALRHgVbbU2bu/DN1aEtHwShfjtuENXMgrCBQECgIFgYJAQaBuCJT6FgQKAgWBgsCiIFCM2/mg5jtZ87lUkocgAvqDHfDEQ5D8QnJBYNAR+OSTT/I3AQf9QeUBBYGCQC0R+JT8rSUVpdJLGoHSj+bfAk3B5lPGrW8u+RYURR75tuK+77774qGHHspbcktrcvB9Kt+mmjlzZv4O1fTp08P3tHyfynepmkx7K22+9TVjxox44IEHouoT+oGt1Fvztfuxgfrmm2+GdvQ9Mv352WefDW3sG2fSfcNs1qxZmRRt7Fp3d3cYA9J9/8y575Tdf//9+d66bN3uu2yPP/547suZwCHw4xt5+JVv5PmO3BAguW1ItNGG8aPf9bdSxqj8t99+e9igo7/3lXw9CJBVMMenyC+pMPVNyDvvvDMmT54cYt+DdK2EwUEA5r6JqR3IGOeeRGY+/PDDMWnSpJgyZUr43uY777zjUgktCMCLTKZ/krd4SXW5VS7jFSbCqmslXjAC5WpvBIxHutxQHYPox4/uueeeXrqsMYV/0Rddl683cvU6m2vcYiyMgHPOOScuueSSQNirr74at956a4wZMybOOuusLCQp/PUisf+1pViNHTs2CyD0Y7SXXXZZXHPNNaEj1MWg6T/F889p4J988slx9NFHB6OWETh69Oh4/fXX539TG17RrwnK448/Pi666KIwSTFt2rTclxm1V1xxRRx22GG5fQ3ud999Nysht9xyS1Aab7vtthg1alQwjN97773cN2644YYwVtqQ3F5VUt/rrrsuTj/99Px9tV4XG3qCZv31xhtvDLzsyiuvDMpQQ8ltO7JMBjGi8M55Vc54NM76XnPPGWecEQRr32vlfP4IwFt/ZzjdfffdmT/h3eS0yYLLL7888z08wO6e8J9/aeXK4iBAXtx88815IoH8oEDTGUywXX/99XHppZfG+eefn4P+vjjPauK9JtRNxEydOjXrnSbWpenL+AI9zOSyPHS1JmJQaBo8BPA+soeOQJ/DJ+c8bUhEKaXs5GC40o+uuuqquOCCC7KBCxu6PfvH+KI3cQ6YVKorOL2MWx4PxKTUsy01K96OYH/+859j/fXXD8ISs6krsQuqN7ovvPDCbMT86Ec/yt/GwlRXXXXV+M1vfhN77LFHLLvssgsqolHXfOPLt7d8j2urrbYKwXfCVlhhhVrRaYt3bYiWddddN3+TTPv6Hto666yTv0NmEufUU08NM8a+Sea7ZhtttFGYgWcUb7LJJrH11lvHpptumvsCLNp9EwHMChM3Xh3HEPkzKbX88svHb3/72/ANOxMY2nWIkD+gZPKcPP/880ERf+mll3qVbcKAwkl518fICmmOjStjzg3O3U+2OLdyghwhSBlmrjGE3WPXSe0nXwn9Q4CSz4iC3y677JInB0xE4nubbbZZHHLIIXHQQQeF70Xia/0rteRaFAQYXvq5HVR9N9NkKgW6s7Mzfv3rX8ehhx4af/3rX2P77bcPcnVRntHke/Bpq8TIZt8aZcw6xx84F1ZbbbUsh51TvJuKBZ5qXOOvVgDQQ9HKMMOP8eIqTXoTA/lApojhYUUKfYxOg15OCHyOPIEL/V3/kb/Sd+SFIbkkzfi0giWlFDaDoutVZVX3OhfIPitfGMH0Q/dLr3uAE7zYNCNGjMjGLhr1J3ii2Xd4fQuYAawNemiu3+9c45YwXGuttQJjdowUCv53vvOd/I0mncm5bzy51qSgsXn3MND11lsvMJRq0PD0mW0dN25cGCxNontBtOgDHR0dQVhjEBRSQqXdjbp50aTO6DFwMTGeDjFDneKx//7752+SHXnkkUF4MITNwk+cODEwNf3exAYG4PyrX/1qzq/fzOt57ZCWUsoTND/+8Y9jueWWy3S0Q70Guw4mZTbffPMQUwJWWWWVKIrkoqFOwTr77LOzp+nqq6+O8847L3ihKJwTJkwIaWZ5zfZa4YFHWnY5atSo/BoLQeqacx5ESgavDI/6vffemz1cVgVVQtR3AFNKi1bZIXqXNhLwMcoaJVC/x+9MSK+88spBUavkd0oF34HuKin1YKpPkwlVW/A8mqxxbldVcsUYwI+lDXQ96lpeSj340bVMBuizDFnndA6Y0UF8T1Qfh6lJsbrSO796G7MmA62wOO2004L3/+KLL86vVEnHc/FPRohVGsb1/Mqqazr9ig523HHHBQysSOFpJEOsfjDhoe2lOzfG6Opkz7XXXhtW4tHt6PCOu7q68io9PJIMsioVdmSQVzkYb3DV1xi/XsXT5+Qj+5TrPvnqimlVb9gaPyaO6EfsGfYcfVbfw5fouOjvmKP717mPzTVuKwAw55RSNmhTSmF2XcNjONttt11W6qu8ixK34z1mhgwIyoAZcJ2f0sWg+cUvfhG815anMn7bsf6DVaell146L0/HGAgUyidDcbCeN5jlGtgEJyZFWBrEnqftzbL/4x//yO+UH3vssdlTRTE3yPWBimYYjB8/Pi93JWyNFWW0c1BHtKeU2rmaA1o39PLY6re8JBTLAX3AECnM+DcOCLphw4ZlI5chSpmQRjZ4bcUyf3gTkquvvnrmGQQnfomX8uIaZ8afsUTJx0uML8KWQkFhIWhTGjr9dCC6kfEtpNSDm/ZyXpVNKWbwmriu0ko8OAhUuKeU8n4N2gIvqp7Gq2TMGCMp9bRXda3EkTGDV0opYAk/sTQxBdwxDCv53TTc8EnGK2eL1WJ4okkTgaG15pprBj5rOSme2TT6tS+HiklT7W8SyJ43jFWOJ/zMOLKnhkk8MoqMYfTD5ktf+lKQT/R3RrHJfen6j7xf/vKXw4Q32aN8zyG7hg8fHj7vw5DlBOHh9eqZdB5jhnCTsOaNZsxb3cO+MbasUOSxpSOT6fQmDqC60Z1SD2+dp3GrI1QEGVSE44477pg9lwZfda0psYalcGEkZgw33njjvA7d+TbbbBOW41rSymvxOdDcNo/AaDBS3vzddtstDAQMom0q2M+KoINSjTlamrfTTjuFgYupuUZQGuD/+te/8ru0Zgwxv2qgU74JVIo4Dwim4D5l9rMKSyybsayuS6wCn/OD0UoQYc477LBDfp0C//qcq9GIxxFsJn422GCDMLHpmIFqHJjRxQtM/ri+4YYbBkXCMV4KABOGeKjl/HvvvXdQ6hm6grHoXhNG+K9+Kk6pRzC5v4SFIwDrzs7OLJtNKGgbs/LktLFgBQol0MTtwksrORYHARPjZII+TU6QKSZxyBdtYTwYNyYa9PXFeVaT7oUNeshk3iP9mPw1oaY/e82EHiLNNRNrTVyNgweiX7/hpdafYKLPMLhSSmG845v6FyMQbk0KxoV2N0boauQE+Y2n0cf23HPPbNyTKYxRuhjnmz6Bx7lOzjCG9R1lyUuvZ9i6tvbaa+dXDI1LE+DwJKdgy6Ct2mCNNdYIzycH6X9NwZnxaiUmjLfYYovQl8gL8pxuLB2m9H6ypW50zx4ms52zEb2MW7MiFHkGraVnXP9HHHFE3lDnxBNPjGOOOSYL0boRu7D6alTKGSZisyADRqc2q2P5AhwMHssdF1ZWU65TYjEI3hdGoMHPew+rJU9j/2tAYJiU4Gk1w6dN9W8eWBt82LnSUkp5vIdx4IEH5qXYGIB3axn1ZvO8fK9fwASDxPhSSv2vyBLIiXZMCr3eq3C+BKrxuT7SkqYTTjghLOeyKcLhhx+ed/z+XCvRkIcZ64S9VSs2kyPkvQ+nT1kSxmiyLMwsOrlhbAh4BvlBGXn66afzSgdeB8oY5cX9Nt6RZuyZGfcMZVDiCNqGQDjoZOBDFGC8zTI8xx560kknBR4GSx4KRpb0EgYegco4o4zDmw5hcu1Xv/pV/tKCdqFAMsw8nXdJXEJvBOhgDBLLcS3N5VTAD+Bp0owcI7f1ZUp577vrf4Y36ic8t3QufBF/NSnC4GXke1XKa1X0UwZw/anuTYGxRIbzXJMjzhn5lg6fe+65eaMxsgVOJjzoNHCA0ZlnnhmWJjNE6eqWJNszhazCAxmzvMDkDplF5+OtFFuBJI1jyxiucCereIC1h2f1rm29zlJKeXNNONosFqZexbPXkA0HGbzoJEusGoChsVYXKj/66P9j1Pin4qTzpsXMdz+O2eNpqdlWbo+SbtZx5513jhEjRgRDxgz77373u7AZBUWFVd8kxjybeADktkOvTR8wEYzzZz/7WRg0ljCY8dluu+1i2LBhOW9Tfyo8Ukr5HU0b8vzlL38J/aBuNKeU5ratWT/92KZgZvDQM3z48NCmGCeFXd9PKYV+/u9//zt47Ds7O+OAAw4IXif3wMcy1/322y8vbYk2/KvoiNl1SynlTbBsYmI2LqWecT77UqP+U0pz29osLD6lzQiqbbfdNngco/z1GwH9XGaxST3jAC8cMWJEWL1Bsdp3331j9913D69t2MjIpoOMX2MN9ngoZfX3v/99GF8UEW1jdt1mFmbPd91117zxl/za6e9//3t4HyilZvZTmA5E0C6CsngvGFUm5iy/w7esMsLXyGrGAkx5I+QvYWAR0A4p9fRXMsJqEdjr/4LJBn3fRJG+z4uUUk/+ga1JPUtLKWXenVKPV1L/Zcja64WCjXfDk6KNr8Nyyy23zLpZNOQvpZQxiNl/+gleiNfip3gkbyRM8E37f+Cd9gmhy8y+pRH/xpGAGDzr4IMPDmPJsT5B5zKRx2OvD5BHdPW99tor6Op/+MMf8iZRrsMFbvSeYcOG5RVD9CJpP//5z0N/4sSgH+hn5Bi5BVvX3U++7bPPPqG8kSNHhk2W1K2uAbYppSATyIs//vGPWS7bXNXY0qfYQB0dHQETuJpMqQu9H836JN5656OYdPeLMWZCdzhfyvp1MyFmSsyYaFhKiaU1rHaNikkzBjS+9ezyNiFYdy5UtFAUDAaGAC825kKZc85zyStR5W1ibAYLHrwtlgBRknR8jEHfqAvN6m+5iaDNzLiZoSMgDFjBYCY4MUr92syed1jQiaFidsYFPCglGKLB7x6KohnldsTD+8TVGIUDgwLtKaX8LnE71nlx66Qt8DH0WnGAf+FZltVQ7M3+zusZJa07uru7ewV9HpZiYwd21UoF48KY0v8pFnglw5UCbwyRGcYR41ce40keyolYuVX7GHfGlLwMM7yGskG4em53n3qV8+657VT19+45GPEIUsLgafURzwNMLefTXhRmvL3KX+LuuVh2z8FwUWO4CniP/k55pC+YECdLOmdPkJp0kIdHyXha1Gc18T6yioyFnUBW4yeMFysP6F14h1Uf+jgs6SP4U1PwQAu5LdZPTJLgh8YyLNANJ7zROT7MC6nPNQUDfEo/QBM5QhagVZq2p4daSUcWkTHGF36nf8Teph4AAAJ1SURBVFhdpI9sv/32eRmxVzHIGo4Khhw84Ue/pwvBU/n6kefS9dg99EIe4Ur31ddSSvnVpkqe1RFv/Ur/wo/E+BNc2HYCnOlMlmUzguFjVVadaB097rH4vzOnx3MvfhArrbhMvP32W7HUP//5zzAzUYURs2fnFxSqfE2IeRvM7lS0oLv1eEHnVb6mxX/7299yf6hoF1ehTrSamTM7pe5VvR33DdU1cXXNcRX6plXn4ipPO8Xo/tOf/pTbUL3UszVIa1rQztU4bqW19bhpNA8WPfqO1Rpzyg/Luo466qjcn+aHZ2t63+OqHHHfa9W5a0Lfc2kljMzYt+KgvxvnVRrcWo+rc3FrqPKU+NOYLiomdIhqvMC6tZzWc8dVaM0z1I/hZ3VUhY24wsRxa+ibXp03IW7Vu1pp7ntc0Sq9Om5CrB9UPA1t8wrobE13LlRpjoW+561p1bW+cX/zyFe3gFarotTbcX+D/HUJx55wTkycNCNeeOG5ePnFJ+J///OfWMouY95xsD59qAVrzL1P20q3d8GEKs2xUJ03OfbegXfgKhrrTLd29R4fWtAhOO4bpFehuladi/umVeftGnunWDu2a/0Go17oRfdglD3UyvROl7FDJgjeOfIOmONWLIyNKrSm9z2u8oj7XqvOXROq83rFXdHV1fW5hnn1d/gJXXPq0npcpZW4a8DbiQ4hdLXgDntBmlhwXELXp/DXlyt+09UHw+q8iuEoVOdNifFWepd4YTShX1hYvrpdN4YWJsP70u1cqGh1LPQ9b02rrvWN+5On7z11Odev9C+yvS51/qz1nDLh2Lh7/EEx5bqDY/LY/4k7pk6M/wIAAP//BAYZ4wAAAAZJREFUAwCNbYf6wPRIdQAAAABJRU5ErkJggg==\"\u003e\u003c/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003c/p\u003e\n\u003cp\u003eTwo out of twelve patients had bAVMs with niduses\u0026thinsp;\u0026gt;\u0026thinsp;1 cm and these an average rate of growth of 1.61 mm/year. One of these patients was a pediatric patient whose bAVM was in a surgically unfavorable location, showed significant growth on follow-up MRI, 0.29 cm/year, and was subsequently treated with stereotatic radiosurgery (Fig. \u003cspan class=\"InternalRef\"\u003e1\u003c/span\u003e). The other of these patients was an adult whose bAVM showed very minimal growth and is still being conservatively managed with observation (Fig. \u003cspan class=\"InternalRef\"\u003e2\u003c/span\u003e). Ultimately none of our patients had rupture of bAVMs over an average radiographic follow-up of 4.15 years (range 1.3-9.0) and a total of 49.78 patient years.\u003c/p\u003e"},{"header":"Discussion","content":"\u003cp\u003eOur study examines the natural history of bAVMs in HHT patients by assessing quantitative growth over time on serial imaging. Our results, which demonstrate no hemorrhages and minimal growth of bAVMs on serial MRIs, suggest that bAVMs in HHT patients may have a benign natural history. Much of the current literature on bAVMs in HHT patients has been thanks to the efforts of the brain Vascular Malformation Consortium (BVMC) [9\u0026ndash;11]. Prior studies have reported a hemorrhage rate of 0.4-1% per year, which is significantly lower than the risk of hemorrhage for sporadic AVMs, which has been reported to be 1\u0026ndash;3% for unruptured, and 4.5% for ruptured AVMs [6, 7, 12\u0026ndash;14]. Compared to sporadic bAVMs, a significant portion of bAVMs in the HHT population tend to be micro-AVMs or smaller than 3 cm with a low Spetzler Martin grade, and tend to have multiplicity, which is a predictive factor for diagnosis of HHT[ 3\u0026ndash;5, 7]. It is well known that sporadic bAVMs have a propensity for spontaneous growth and/or remodeling over time [8, 15]. Our study suggests that the spontaneous growth rate of bAVMs in HHT patients per year is minimal, if any. This is supported by a study by the BVMC that followed 409 HHT patients with bAVMs and found that over various follow-up lengths, only three patients developed de novo bAVMs and only one pediatric patient had growth of an existing bAVM at about 0.28 cm/year. This is very similar to the growth rate in our pediatric patient at 0.29 cm/year [10]. However, their study did not review brain MRIs for all 409 of their patients to assess growth and were limited by only seven subjects with suspected new bAVMs having prior imaging for comparison [10].\u003c/p\u003e\u003cp\u003eThe reasons for the differences in growth and in hemorrhage rates between sporadic bAVMs and bAVMs in the HHT population are not well understood. One possible explanation is that HHT patients tend to undergo regular MRI surveillance, facilitating earlier detection of bAVMs. Another hypothesis is that bAVMs in HHT patients form during embryogenesis secondary to the gene mutations affecting the TBGβ-BMP receptor complex [15]. Ongoing research focusing on expression of angiogenic factors such as vascular endothelial growth factor, fibroblast growth factor, transforming growth factor β, angiopoietins, fibronectin, laminin, integrin, and matrix metalloproteinases have provided insight into how bAVMs in general grow and remodel [16, 17]. The difference in the growth of bAVMs in HHT patients suggests a different pathophysiology of development and possibly less active angiogenesis. Notably, the only patient in our study that demonstrated significant growth in his bAVM was our youngest pediatric patient, at age six and in the BVMC study, the only patient to demonstrate growth of their bAVM was between the age of three to eight [10]. Another report has also described substantial growth and regression of a bAVM in a pediatric HHT patient with the ENG mutation [17]. It is possible that there is an age dependent relationship with angiogenesis and that if bAVMs in HHT patients are to grow, it will primarily be in the pediatric population.\u003c/p\u003e\u003cp\u003eOur study has implications for the frequency and interval for surveillance imaging for bAVMs in HHT patients. Currently, the HHT guidelines recommend screening children for bAVMs at diagnosis of HHT and to treat bAVMs with high-risk features [18]. However, there are no guidelines on surveillance imaging in patients once bAVMs are identified on screening imaging studies. Practice and recommendations appear to differ between North America and Europe, and within the two regions there tends to be further variation still that appears provider dependent. A survey of North American HHT centers of excellence published in 2024 then showed that 89.3% reported rescreening children and 13.3% reported identifying brain AVMs in patients after the initial screening scan was negative [19]. The intervals for rescreening in pediatric patients vary widely from 1 to 5 to 10 years [19]. There are no data on practices in surveillance imaging frequency after discovering an asymptomatic bAVM on screening. It has been suggested that this is left up to the neurosurgery team or the HHT provider team, which again, can vary widely. If future studies support our finding,, they will help develop guidance on the interval between surveillance imaging in asymptomatic bAVMs found in HHT patients. The relatively minimal growth, even in pediatric patients which appear to show more propensity for growth, could argue that re-screening should be done at longer intervals, particularly in patients with micro-bAVMs and bAVMs found in adults as these seem unlikely to grow or rupture/become symptomatic. However, further research in this regard is warranted in order to inform more useful recommendations.\u003c/p\u003e\u003cp\u003eOur study has several limitations. Firstly, our study population is very small, not powered to perform any statistical analyses, and in conjunction with the retrospective nature of our study, can be affected by inherent biases. There was significant variability in frequency and interval of serial imaging, as well as in total length of follow-up, which was perhaps too short in certain patients to see any change in their bAVMs. This variability is related to another limitation, which is that the patients were sometimes followed by neurosurgeons and sometimes not followed by neurosurgeons. There were three different neurosurgeons that managed some of the patients in our study, and thus treatment strategies and other management practices varied. Ideally, future studies on the natural history of bAVMs should have larger patient cohorts, be prospective in nature, and have consistent follow-up \u0026gt;\u0026thinsp;5 years, with consistency in treatment team personnel.\u003c/p\u003e"},{"header":"Conclusions","content":"\u003cp\u003eThe natural history of bAVMs in HHT patients is still relatively unknown. Our small retrospective study shows that when followed longitudinally with serial MRIs, bAVMs in HHT patients demonstrate minimal growth, particularly micro-bAVMs show neither growth nor rupture.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003eStatements and Declarations: The authors have no financial or non-financial interests to declare. \u0026nbsp;\u003c/p\u003e\n\u003cp\u003eHuman Ethics and Consent to Participate Declarations: Study approved by our institution’s Internal Review Board (IRB) and per the IRB committee, no consents were necessary for this study.\u0026nbsp\u003c/p\u003e\n\u003cp\u003eFunding: none\u003c/p\u003e\u003ch2\u003eAuthor Contribution\u003c/h2\u003e\u003cp\u003eBL, KS, and BCM obtained the data. BB and SCH reviewed images. BL wrote the main manuscript and prepared table 1 and prepared figures 1-2. RK and SCH provided guidance and reviewed and edited the manuscript.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003e Hermann R, Shovlin CL, Kasthuri RS, et al. Hereditary haemorrhagic telangiectasia. \u003cem\u003eNat Rev Dis Primers\u003c/em\u003e. 2025;11(1):1. doi:10.1038/s41572-024-00585-z\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Kritharis A, Al-Samkari H, Kuter DJ. Hereditary hemorrhagic telangiectasia: diagnosis and management from the hematologist\u0026rsquo;s perspective. \u003cem\u003eHaematologica\u003c/em\u003e. 2018;103(9):1433\u0026ndash;1443. doi:10.3324/haematol.2018.193003\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Brinjikji W, Iyer VN, Lanzino G, Thielen KR, Wood CP. Natural history of brain capillary vascular malformations in hereditary hemorrhagic telangiectasia patients. \u003cem\u003eJ Neurointerv Surg\u003c/em\u003e. 2017;9(1):26\u0026ndash;28. doi:10.1136/neurintsurg-2015-012252\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Brinjikji W, Iyer VN, Wood CP, Lanzino G. Prevalence and characteristics of brain arteriovenous malformations in hereditary hemorrhagic telangiectasia: a systematic review and meta-analysis. \u003cem\u003eJ Neurosurg\u003c/em\u003e. 2017;127(2):302\u0026ndash;310. doi:10.3171/2016.7.JNS16847\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Bharatha A, Faughnan ME, Kim H, et al. Brain Arteriovenous Malformation Multiplicity Predicts the Diagnosis of Hereditary Hemorrhagic Telangiectasia. \u003cem\u003eStroke\u003c/em\u003e. 2012;43(1):72\u0026ndash;78. doi:10.1161/STROKEAHA.111.629865\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Kim H, Nelson J, Krings T, et al. Hemorrhage Rates From Brain Arteriovenous Malformation in Patients With Hereditary Hemorrhagic Telangiectasia. \u003cem\u003eStroke\u003c/em\u003e. 2015;46(5):1362\u0026ndash;1364. doi:10.1161/STROKEAHA.114.007367\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Yang W, Liu A, Hung AL, et al. Lower Risk of Intracranial Arteriovenous Malformation Hemorrhage in Patients With Hereditary Hemorrhagic Telangiectasia. \u003cem\u003eNeurosurgery\u003c/em\u003e. 2016;78(5):684\u0026ndash;693. doi:10.1227/NEU.0000000000001103\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Mendelow AD, Erfurth A, Grossart K, Macpherson P. Do cerebral arteriovenous malformations increase in size? \u003cem\u003eJ Neurol Neurosurg Psychiatry\u003c/em\u003e. 1987;50(8):980\u0026ndash;987. doi:10.1136/jnnp.50.8.980\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Akers AL, Ball KL, Clancy M, et al. Brain Vascular Malformation Consortium: Overview, Progress and Future Directions. \u003cem\u003eJ Rare Disord\u003c/em\u003e. 2013;1(1):5.\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Beslow LA, Krings T, Kim H, et al. De Novo Brain Vascular Malformations in Hereditary Hemorrhagic Telangiectasia. \u003cem\u003ePediatr Neurol\u003c/em\u003e. 2024;155:120\u0026ndash;125. doi:10.1016/j.pediatrneurol.2024.03.013\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Kilian A, Latino GA, White AJ, et al. Comparing Characteristics and Treatment of Brain Vascular Malformations in Children and Adults with HHT. \u003cem\u003eJ Clin Med\u003c/em\u003e. 2023;12(7):2704. doi:10.3390/jcm12072704\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Willemse RB, Mager JJ, Westermann CJ, Overtoom TT, Mauser H, Wolbers JG. Bleeding risk of cerebrovascular malformations in hereditary hemorrhagic telangiectasia. \u003cem\u003eJ Neurosurg\u003c/em\u003e. 2000;92(5):779\u0026ndash;784. doi:10.3171/jns.2000.92.5.0779\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Rutledge WC, Ko NU, Lawton MT, Kim H. Hemorrhage Rates and Risk Factors in the Natural History Course of Brain Arteriovenous Malformations. \u003cem\u003eTransl Stroke Res\u003c/em\u003e. 2014;5(5):538\u0026ndash;542. doi:10.1007/s12975-014-0351-0\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Gross BA, Du R. Natural history of cerebral arteriovenous malformations: a meta-analysis. \u003cem\u003eJ Neurosurg\u003c/em\u003e. 2013;118(2):437\u0026ndash;443. doi:10.3171/2012.10.JNS121280\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Minakawa T, Tanaka R, Koike T, Takeuchi S, Sasaki O. Angiographic follow-up study of cerebral arteriovenous malformations with reference to their enlargement and regression. \u003cem\u003eNeurosurgery\u003c/em\u003e. 1989;24(1):68\u0026ndash;74. doi:10.1227/00006123-198901000-00011\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Moftakhar P, Hauptman JS, Malkasian D, Martin NA. Cerebral arteriovenous malformations. Part 1: cellular and molecular biology. Published online May 1, 2009. doi:10.3171/2009.2.FOCUS09316\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Du R, Hashimoto T, Tihan T, Young WL, Perry V, Lawton MT. Growth and regression of arteriovenous malformations in a patient with hereditary hemorrhagic telangiectasia. Published online March 1, 2007. doi:10.3171/jns.2007.106.3.470\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Kilian A, Clancy MS, Olitsky S, Gossage JR, Faughnan ME. Screening for pulmonary and brain vascular malformations is the North American standard of care for patients with hereditary hemorrhagic telangiectasia (HHT): A survey of HHT Centers of Excellence. \u003cem\u003eVasc Med\u003c/em\u003e. 2021;26(1):53\u0026ndash;55. doi:10.1177/1358863X20974452\u003c/span\u003e\u003c/li\u003e\u003cli\u003e\u003cspan\u003e Beslow LA, Kim H, Hetts SW, et al. Brain and lung arteriovenous malformation rescreening practices for children and adults with hereditary hemorrhagic telangiectasia. \u003cem\u003eOrphanet Journal of Rare Diseases\u003c/em\u003e. 2024;19(1):421. doi:10.1186/s13023-024-03402-8\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"hereditary hemorrhagic telangiectasia, brain, arteriovenous malformation, magnetic resonance imaging","lastPublishedDoi":"10.21203/rs.3.rs-7454851/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7454851/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003ePurpose: The natural history of brain arteriovenous malformations (bAVMs) in Hereditary Hemorrhagic Telangiectasia (HHT) remains poorly understood and it has been suggested that they may have a benign course different from sporadic bAVMs. Here, we present a single-center longitudinal study evaluating the growth of bAVMs over time as assessed by serial MRIs.\u003c/p\u003e\n\u003cp\u003eMethods: We performed a retrospective analysis of 44 patients with suspected bAVMs followed at an HHT Center of Excellence from 2014 to 2024. We excluded patients that did not have serial MRIs and/or poor-quality MRIs, and patients without radiographic bAVMs. Primary outcome was growth of bAVM as measured by largest dimension on T1 post-contrasted weighted sequences of serial MRIs. Secondary outcome was hemorrhage from bAVM rupture.\u003c/p\u003e\n\u003cp\u003eResults: Twelve patients (3 male, 9 female) met our criteria. Average age at first MRI was 39.9 years (range 6 -65 years). Ten patients had micro-bAVMs and 3/10 of these patients had multiple micro-bAVMs. None of the micro-bAVMs showed any growth on serial MRIs. The other two patients in our study had bAVMs with niduses \u0026gt;1 cm and showed an average rate of growth of 1.61 mm/year. Ultimately, none of our patients had rupture of bAVMs over an average radiographic follow-up of 4.15 years and a total of 49.78 patient years.\u003c/p\u003e\n\u003cp\u003eConclusion: Our study suggests that bAVMs in HHT patients may have a benign natural history. We found no hemorrhages and noted minimal growth of bAVMs on serial MRIs. Our results suggest HHT patients with bAVMs may not warrant frequent surveillance imaging.\u003c/p\u003e","manuscriptTitle":"Natural History of Brain Arteriovenous Malformations in Hereditary Hemorrhagic Telangiectasia: A Longitudinal Neuroimaging Study","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-25 15:40:01","doi":"10.21203/rs.3.rs-7454851/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"7000d501-7eea-4ed7-b0d5-2993656b8e8f","owner":[],"postedDate":"September 25th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2025-09-25T15:40:02+00:00","versionOfRecord":[],"versionCreatedAt":"2025-09-25 15:40:01","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7454851","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7454851","identity":"rs-7454851","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.