Augment Cushioning and Stability in Jump-Landing: Biomechanical Assessment of Auxetic Lattice Structures in Athletic Footwear Midsoles

Augment Cushioning and Stability in Jump-Landing: Biomechanical Assessment of Auxetic Lattice Structures in Athletic Footwear Midsoles | 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 Article Augment Cushioning and Stability in Jump-Landing: Biomechanical Assessment of Auxetic Lattice Structures in Athletic Footwear Midsoles Jifa Zhang, Runhua Huang, Yibing Chen, Yangbo He, Qi Wu, Yadie Yang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9424953/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract High-impact forces during jump landing pose a risk for lower limb injuries, highlighting the importance of shoe midsole cushioning, where the effectiveness of midsole hardness remains controversial. This study evaluated the biomechanical performance of three-dimensional auxetic lattice structure midsoles during jump landing, examining their cushioning mechanisms and stability. Four midsoles were tested: two auxetic lattices (A60 and A75), a non-auxetic structure (N90), and a traditional polyurethane (PU) midsole, using plantar pressure measurements (Pedar‑X system) and finite element simulations. Results showed that auxetic midsoles significantly improved overall performance, reducing peak plantar pressure and impact loading rate compared to non-auxetic designs. Specifically, A60 provided optimal forefoot pressure reduction, while A75 offered superior stability, with both enhancing pressure distribution uniformity through increased foot-shoe contact area. These findings demonstrate that auxetic lattice structures enhance athletic shoe cushioning, suggesting A60 for high-impact areas and A75 for stability-focused applications, thereby offering a theoretical basis for zoned cushioning design in athletic footwear. Physical sciences/Engineering Health sciences/Health care Auxetic Lattice Structures Athletic footwear midsoles Cushioning Stability Jump-landing biomechanics Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Introduction Jump landing is typical for athletes, requiring maximum vertical jumping in place. Frequent jump-landing activities involve various sports, such as volleyball, basketball, and handball. The combination of high-impact forces during the landing phase and the short time to reach the peak increases the mechanical demand on the lower limbs [ 1 ] and elevates the risk of knee anterior cruciate ligament injuries [ 2 ] and knee articular injuries [ 3 ]. Additionally, jump-landing tasks are adopted in the final stage of rehabilitation programs after ligament injuries [ 4 ]. Research on footwear products in jump scenarios has primarily investigated the effects of footwear characteristics on foot-ground impact characteristics, such as time to peak force (TPF) and vertical impact loading rate (VILR). Findings on the impact of midsole hardness on plantar cushioning have been inconsistent. Some studies suggest that softer midsoles can reduce VILR in repetitive activities requiring multiple impacts, such as running [ 5 ] and skipping rope [ 6 ]. WK Lam, et al. [ 7 ] reported better rearfoot cushioning but worse forefoot cushioning with soft midsoles. However, DZ Nin, et al. [ 8 ] proposed that midsole hardness had no significant effect on plantar cushioning. These discrepancies may stem from differences in sports. R Zhang, et al. [ 9 ] designed a bionic forefoot cushioning midsole based on the shock absorption mechanism of ostrich toe pads to improve impact absorption. Kangoo Jumps® uses spring structures to dissipate impact forces and prolong the TPF [ 10 ]. The advantages of auxetic materials in terms of surface conformity and energy dissipation have led to their recent utilization in personal protective equipment and shock absorption pads. [ 11 , 12 ]. Auxetic materials display zero/negative Poisson’s ratios, expanding sideways during tension and compacting during compression [ 13 ]. Unlike standard seat structures, auxetic-configurated frames demonstrate reduced pressure concentration during body contact, directly enhancing ergonomic comfort [ 14 ]. According to C Yang, et al. [ 15 ], auxetic materials represent an optimal solution for impact-protective gear, offering injury prevention for vulnerable populations including seniors, industrial laborers, security forces, military personnel, and sports competitors without sacrificing comfort. Impact testing reveals auxetic materials attenuate peak acceleration magnitudes to one-sixth of those observed in conventional foam absorbers [ 16 ]. Beyond energy absorption and dissipation, auxetic materials also feature excellent properties meeting footwear requirements, such as fatigue toughness [ 17 ], lightweight characteristics [ 18 ] and fracture resistance [ 19 ]. Therefore, auxetic materials demonstrates extensive potential for application in the field of sport. As parametric tools and additive processes permeate shoe production, researchers continuously assess the ergonomic implications of unit cell topology and mechanical behavior in auxetic-structured shoe components. RR Ford, et al. [ 20 ] applied mass-tunable auxetic geometry to shoe midsoles to reduce peak ground reaction forces and mitigate foot injury risks during intense exercise. Auxetic soles with negative Poisson’s ratio exhibit higher strain energy and energy absorption capacity than traditional soles, contributing to reducing spinal fatigue during walking [ 21 , 22 ] and enhancing wearing comfort during walking or running [ 23 ]. MS-h Leung, et al. [ 24 ] designed auxetic re-entrant honeycomb structured round heel pads, which reduced peak contact force and average pressure in the heel compared to traditional PU foam heel pads. During vertical drop jumps, auxetic shoes may reduce the anterior-posterior distance between the ground reaction force center of pressure (CoP) and the heel, thereby decreasing the required external flexor moment and lumbosacral compression force at the lumbosacral joint, aiding in lumbar protection [ 25 ]. The mediolateral deviation of the plantar CoP is closely related to gait stability during jumping activities [ 26 ]. Stability and comfort are fundamental functional requirements for footwear to meet sports needs and ensure foot protection [ 27 ]. Highly cushioned shoes are designed to increase shock absorption upon impact, theoretically reducing injury risks associated with VILR [ 28 ]. A sports shoe primarily consists of an outsole, midsole, insole, upper, and several reinforcements. As the main supporting structure of the shoe, the midsole acts on various plantar regions, and designers/engineers can optimize the overall pressure reduction and cushioning performance by adjusting the midsole design to prevent injuries in high-intensity sports like jumping. This research introduces a novel midsole architecture utilizing 3D re-entrant auxetic lattices synthesized from cross-stacked 2D concave hexagonal honeycombs featuring sub-90° internal angles. Through controlled angular variation of lattice units, three midsole variants were engineered and validated: two auxetic configurations with distinct acute angles and one non-auxetic benchmark. The study investigates the stability and pressure reduction cushioning performance of auxetic lattice midsoles during jump landings, addressing the following research questions: 1) Effects of different midsole types on plantar pressures; 2) Effects of different midsole types on VILR; 3) Effects of different midsole types on total mediolateral CoP deviation; 4) Effects of different midsole types on contact area. The study employs dual experimental verification via finite element analysis (FEA) and in-shoe pressure system testing to determine the human factors performance of auxetic midsoles in jump-landing scenarios. A common existing polyurethane (PU) sole was used as a control in actual plantar pressure testing to verify whether auxetic lattice-structured soles contribute to pressure reduction and cushioning during jumping. Biomechanical evaluation of the interaction between the foot and shoe under jump-landing conditions, analyzing the impact of shoe design characteristics on foot variables, also helps identify optimization directions for jump-cushioning footwear design. Shoe midsoles with this special cushioning structure may help prevent injuries caused by high plantar impact forces during fatigue or unconscious states. Materials and methods Experimental Shoe Midsoles Design The 3D re-entrant hexagonal lattice structure proposed by KE Evans, et al. [ 29 ] is a typical auxetic structure exhibiting negative Poisson's ratios when loaded in all three orthogonal directions. For biomechanical benchmarking, midsoles with re-entrant auxetic lattices (60° and 75° internal angles) and a conventional lattice (90°) were designed and engineered, contrasting with a standard PU midsole control. All four midsoles were size 42. Since midsole thickness may affect ground reaction force and VILR, all experimental midsoles were ensured to have the same thickness. Each lattice-structured midsole had two layers of uniformly arranged lattice units in the longitudinal direction. The 3D structure and geometric characteristics of lattice units for the three designed midsole types are shown in Fig. 1 . Each lattice unit featured ribs with a diameter of 2.4 mm and a height of 12 mm. Based on multiple attempts at sample fabrication, it is determined that setting the rib height of the lattice unit to 12mm provides sufficient space for lattice deformation when the shoe midsole is under compression. To isolate structural effects, the three lattice midsoles maintained near-identical material volumes (125 ± 0.88 cm³) and constant volume occupancy ratios, effectively controlling relative density variables. Specimens were digitally modeled via parametric algorithms in Rhino 7® with Grasshopper® 3.5, then additively manufactured using Tiertime UP300 FDM equipment (Beijing, China). Fabrication employed elastic thermoplastic polyurethane (TPU 95A) under precise deposition control—achieving nozzle positioning accuracies of (x,y,z) = (2,2,0.5) µm and 0.1 mm layer resolution. Research Process The study performed plantar pressure system testing from January 4th to 14th, 2026, to obtain real plantar biomechanical parameters, including CoP displacement, impact force, contact area, and plantar pressure. Since measurements of plantar biomechanical parameters (e.g., impact force) may be affected by individual motor skills [ 30 ], FEA was also performed to validate the effectiveness of plantar pressure measurement results and ensure that individual physical characteristics did not influence experimental outcomes. Ethical approval of this study was obtained from the Academic Ethics and Scientific Technology Ethics Special Committee of Guangdong University of Technology. This study strictly adhered to the ethical guidelines of the Declaration of Helsinki. All participants voluntarily signed informed consent forms after fully understanding the purpose, procedures, potential risks, and benefits of the study. They were explicitly informed of their right to withdraw unconditionally at any stage of the research without incurring any unfair treatment or loss. Wear Trial of Proposed Midsoles Participants Twenty healthy male subjects (mean age: 21 ± 1.3 years) wearing standardized EU-42 footwear were enrolled based on stringent inclusion criteria: 1) no prior lower-extremity orthopedic interventions or fractures; 2) pain-free locomotion; 3) absence of musculoskeletal deformities (hallux valgus, pes planus, genu varum); 4) physiologically normal gait patterns; and 5) non-athlete status with no specialized motor training. Based on these criteria, participants aged 19–23 years had an average height of (169 ± 1.9) cm, average mass of (69 ± 4.6) kg, and foot length of (253 ± 2.0) mm. Biomechanical Experiments Regional plantar loading analysis provides a validated methodology for assessing footwear cushioning performance [ 31 ]. This investigation employed the Pedar-X system (Novel GmbH, Munich, Germany) to quantify in-shoe biomechanical parameters across midsole variants. The instrumented insoles incorporate 99 capacitive sensors with 1.9 mm thickness, operating at 50 Hz sampling frequency within a 15-1200 kPa measurement range. An EU size 42/43 Pedar insole was selected for the experiment. The pressure measurement system divided the plantar foot into seven regions: hallux, toes 2–5, metatarsal heads (MTH 1, MTH 2, MTH 3–5), midfoot, and hindfoot (Fig. 2 ). According to F Alirezaei Noghondar and E Bressel [ 32 ], participants were required to warm up and perform vertical jump-reach activities to familiarize themselves with the vertical jumping motion before starting pressure testing for each midsole. Through plantar pressure measurement experiments, peak pressure in each plantar region, the maximum foot-shoe contact area, VILR and the CoP displacement were obtained. The VILR quantified as the derivative of vertical ground reaction force between initial foot-ground contact and impact peak [ 33 ], and expressed in N/ms. All 3D-printed midsoles maintained structural integrity through 100 consecutive jump tests without permanent deformation, demonstrating compressive durability and impact resistance. Written informed consent was acquired from all experimental participants prior to biomechanical assessments. Additionally, based on the CoP displacement trajectory during jump landing obtained from plantar pressure measurement experiments, the total mediolateral COP deviation was derived using the calculation method of HF Leong, et al. [ 34 ]. First, the origin Xi was defined as the most posterior point of the COP trajectory. Next, the mediolateral deviation was determined in relation to the x-axis, which is perpendicular to the longitudinal foot axis. The x coordinates (mediolateral locations of COP) throughout the stance phase of the selected jump-landing steps were extracted. The total COP mediolateral deviation was then calculated by summing the absolute differences between the x coordinates and the COP path, i.e., |X2 − X1|+|X3 − X2|+...+|Xi − Xi−1|. Finite Element Analysis Preparation Mechanical characterization of 3D-printed TPU specimens was conducted using an Inspekt Table Blue 5KN universal testing system (Hegewald & Peschke, Germany). Tensile and compressive behaviors were evaluated following ASTM D638-14 and D395-03 standard test methods, respectively. Uniaxial testing yielded stress-strain data for hyperelastic material modeling. A digital foot model was developed from 3D scans of a male subject (height: 175 cm, shoe size: EU 42) acquired using an eFoot 350 medical scanner (Stereo3D Technology, China; accuracy: ±0.5 mm). To enhance anatomical fidelity, a bone model matching the foot dimensions was integrated into the soft tissue reconstruction. Footwear interaction dynamics were simulated during motion, with kinematic data captured at 300 Hz using a NOKOV Mars 9H optical system. Reflective markers were positioned at key anatomical landmarks (heel, toe, medial/lateral malleoli, abdomen, and hip) to track center of mass trajectory during jump-landing, calculated as 40% of the abdomen-hip distance per W Erdman [ 35 ]. Simulation Analysis Material mechanical properties, foot models, and motion trajectory data collected above were imported into ABAQUS FEA software (Dassault, France, version 2021) for simulation and mechanical analysis of the foot–footwear interface. The finite element model (FEM) consisted of five parts: foot soft tissue, bones, insole, midsole, and ground. The position of each component in the FEM is shown in Fig. 3A. ABAQUS processed the 3D models by meshing them into grids with a finite number of ‘elements’ with the mesh size set to 2 mm. The hyperelastic constitutive model for TPU midsole components in mechanical simulation was based on the Yeoh formulation [36]: $$\:\text{W}={\sum\:}_{\text{i}=1}^{3}{\text{C}}_{\text{i}0}{({\overline{\text{I}}}_{1}-3)}^{\text{i}}+{\sum\:}_{\text{i}=1}^{3}\frac{1}{{\text{D}}_{\text{i}}}{({\text{J}}_{\text{e}\text{l}}-1)}^{2\text{i}}$$ 1 Table 1 details material properties and element formulations for each FEM component. The ground surface was subjected to rigid constraints with complete translational/rotational fixation. A tie interface connected the foot and insole domains, while midsole-floor interaction employed frictional contact. Model kinematics were driven by motion-captured y-axis nodal displacements, with coordinate updates at 10 ms intervals during dynamic simulation. A body weight force of 69.8 kg was applied as a concentrated load at the center of gravity of the human body FEM, with a gravitational acceleration of 9.8 m/s² defined globally as Figure 3B. The FEM assumed a rigid connection between the center of mass and the ankle. Based on this setup, the impact force and extreme pressure on the plantar during jump landing were simulated and predicted as Figure 3C showed. 1 TPU: thermoplastic polyurethane. Table 1. Material properties and element types of different parts of the FEM Data Analysis A one-way ANOVA evaluated intervention effects across four midsole conditions: auxetic designs A60/A75, non-auxetic N90, and traditional polyurethane. Dependent variables included peak plantar pressure (PPP), VILR, total mediolateral center-of-pressure deviation, and contact area. Post hoc analyses employed Tukey's HSD test for inter-group comparisons, with statistical significance set as p < 0.05. All statistical analyses were executed in SPSS 23.0 (IBM Corp., USA). Results: the impact of midsole structure on plantar biomechanics Peak Plantar Pressures Figure 4 compares the PPPs in different plantar regions when wearing various midsoles during jumping. The experiment verified the influence of midsole types on plantar pressure in different regions by examining differences in data between groups (A60, A75, N90, and PU). The F-value, a key statistic in ANOVA, represents the ratio of between-group variance to within-group variance. F-values surpassing the critical threshold (F₀=2.70) denoted significant inter-group differences, with magnitude directly proportional to effect size. ANOVA revealed midsole design significantly influenced peak landing pressures across all plantar regions (p < 0.001): hallux [F(3, 76) = 1181, p < 0.001], toes 2–5 [F(3, 76) = 449, p < 0.001], MTH 1 [F(3, 76) = 265, p < 0.001], MTH 2 [F(3, 76) = 237, p < 0.001], MTH 3–5 [F(3, 76) = 302, p < 0.001], midfoot [F(3, 76) = 49, p < 0.001], and hindfoot [F(3, 76) = 404, p < 0.001]. Tukey's HSD post hoc analysis confirmed both auxetic configurations (A60, A75) generated significantly lower regional pressures versus the non-auxetic N90 reference (p < 0.05). Table 2 compares the mean peak pressures of different midsoles in each plantar region and calculates the mean differences. The p-values indicate the significance of pairwise comparisons of sample means. The percentages in brackets in Table 2 represent the extent to which pressure in the first sample decreases compared to the second sample in paired comparisons. According to Table 2, 3D-printed lattice midsoles with auxetic structures significantly reduced peak pressure in all plantar regions and optimized foot pressure distribution during jump landing compared to non-auxetic midsoles. The comparison also revealed that the A60 midsole showed better forefoot pressure reduction than the A75, while the A75 midsole exhibited better pressure reduction in the midfoot and heel regions than the A60. The FEA result showed peak pressures of 472 kPa, 477 kPa, and 481 kPa for A60, A75, and N90, respectively. Discrepancies between experimental measurements and finite element predictions likely stem from variations in soft tissue mechanical properties (elasticity, hardness) between computational foot models and real feet [24]. Nevertheless, the results still verify that lattice midsoles with auxetic structures have better pressure reduction performance than non-auxetic structured midsoles. Table 2 . Mean difference in PPPs between four different types of shoe midsoles. Vertical Impact Loading Rate Figures 5A and 5B separately show the TPF and VILR of the plantar after landing from jumps while wearing different midsole types. ANOVA results also showed that midsole type had a significant effect on TPF [F(3, 76) = 11.9, p < 0.01] and VILR [F(3, 76) = 11.3, p < 0.01] during jump landing. Post hoc comparisons showed that 3D-printed midsoles significantly prolonged the time to peak plantar impact force compared to the PU midsole. Among them, auxetic lattice midsoles A60 and A75 showed significantly lower VILRs than PU, indicating more effective cushioning of auxetic lattice midsoles. Table 3 shows the means of peak impact force (PIF), TPF, and VILR. Although there were slight differences in the mean PIF values under the four midsole conditions, ANOVA verified that PIF did not significantly affect TPF and VILR. Table 3 Peak impact force, time to peak force, and vertical impact loading rate during landing after jumping for different shoe midsole types. Midsole type Peak impact force (N) Time to peak force (ms) VILR (N/ms) ave std ave std ave std A60 893.00 138.65 96.0 12.7 9.3 1.2 A75 947.97 145.87 89.5 7.6 10.6 1.2 N90 998.22 153.60 87.5 6.4 11.4 1.5 PU 928.08 184.52 76.5 13.5 12.3 2.3 Mediolateral Deviation of the Center of Pressure Figure 6 illustrates the variation in total displacement of the COP in the x-axis direction during landing after jumping, while wearing different midsole types. ANOVA results indicated that midsole type had a significant effect on COP displacement during jump landing [F(3, 76) = 27.6, p < 0.01]. Post hoc comparisons showed that the total mediolateral COP deviations of A75 and N90 among 3D-printed midsoles were significantly smaller than that of A60 and PU midsoles. Among 3D-printed auxetic midsoles, the COP displacement of A75 was significantly smaller than that of A60. Contact Area ANOVA demonstrated significant effects of midsole design on plantar contact area during jump-landing events across multiple regions (p < 0.01): hallux [F(3, 76) = 272.2, p < 0.01], toes 2–5 [F(3, 76) = 128.8, p < 0.01], MTH 1 [F(3, 76) = 14.4, p < 0.01], MTH 3–5 [F(3, 76) = 20.2, p < 0.01], midfoot [F(3, 76) = 172.1, p < 0.01], and hindfoot [F(3, 76) = 117.3, p < 0.01]. Table 4 compares the mean contact areas of different midsole types in each plantar region, calculates the mean differences, and provides p-values indicating the significance of pairwise comparisons of sample means. In terms of mean values, auxetic midsoles (A60 and A75) had larger contact areas in all plantar regions than non-auxetic midsoles (N90 and PU), especially in the toes, midfoot, and heel. The auxetic midsole A60 had significantly larger contact areas in almost all plantar regions than non-auxetic midsoles (N90 and PU), except for the MTH 2 region. During jump landing, the 60° internal angle of the auxetic lattice caused more midsole deformation and a significantly larger plantar contact area. Table 4 Mean difference in contact areas (cm2) between four different types of shoe midsoles. Variable A60-N90 A75-N90 A60-PU A75-PU N90-PU Hallux 3.394*** 2.850*** 1.607*** 1.064*** -1.787*** (67.22%) (1.75%) (23.51%) (0.54%) (0.91%) Toes 2–5 5.493*** 4.310*** 3.383*** 2.200*** -2.110*** (33.25%) (2.37%) (18.16%) (1.26%) (1.21%) MTH 1 1.038*** 0.857*** 0.586** 0.404 -0.453 (8.52%) (0.43%) (4.63%) (0.19%) (0.22%) MTH 2 0.043 0.040 0.026 0.023 -0.017 (0.31%) (0.02%) (0.19%) (0.01%) (0.01%) MTH 3–5 1.265*** 0.351 0.892*** -0.022 -0.373 (9.08%) (0.16%) (6.24%) (0.01%) (0.22%) Midfoot 9.559*** 4.990*** 10.889*** 6.319*** 1.330 (34.25%) (4.38%) (40.97%) (5.61%) (1.18%) Hindfoot 9.852*** 5.020*** 10.649*** 5.818*** 0.797 (30.85%) (2.18%) (34.20%) (4.04%) (0.55%) Discussion Based on the experimental results, auxetic lattice-structured midsoles (A60 and A75) exhibited more substantial pressure reduction and cushioning performance during jump landing compared to non-auxetic (N90) or PU midsoles. According to Tables 2 and Table 4 , statistical significance (p < 0.01) was observed for the comparison between PPPs and contact area across various plantar regions. A75 significantly reduced plantar pressure by 8.79% to 46.33% and increased plantar contact area by 0.43% to 4.38% compared to the non-auxetic lattice-structured midsole N90; A60 significantly reduced plantar pressure by 11.73% to 69.96% and increased contact area by 8.52% to 67.22%. Compared to the control PU sole, A75 significantly reduced plantar pressure by 4.90% to 42.47% and increased contact area by 0.54% to 5.61%; A60 significantly reduced plantar pressure by 10.94% to 68.68% and increased contact area by 4.63% to 40.97%. During jump landing, auxetic lattice-structured midsoles effectively reduced peak pressure in different plantar regions, and the closer fit between the foot and shoe resulted in a more uniform distribution of foot pressure. The results are consistent with existing studies on the pressure reduction characteristics of auxetic materials [ 38 ]. The reduction in unit load in each plantar region is related to the increase in plantar contact area [ 39 , 40 ] because auxetic materials can conform to curved surfaces such as the human body by forming synclastic curvatures [ 41 ]. The reduction in plantar extreme pressure helps improve shoe comfort during jumping and reduce plantar tissue damage from impacts [ 23 ]. According to Fig. 5 A, compared to non-auxetic lattice midsoles (N90 and PU), auxetic lattice midsoles (A60 and A75) significantly or non-significantly prolonged the time to PIF. The attenuation of VILRs corroborates established findings on the energy-dissipating characteristics of auxetic structures. These lattice-based midsoles collectively attenuated plantar pressure and enhanced impact cushioning during landing maneuvers, with the A60 configuration exhibiting optimal cushioning performance. However, experimental results showed that A60 had the most significant CoP deviation among all midsole types, possibly because the 60° internal angle lattice structure made the A60 midsole too soft. As softer midsoles have larger CoP deviations than harder ones [ 34 ], this may be a contributing factor. The 75° internal angle lattice structure was relatively stable, and its auxetic structure provided conformability, resulting in the minor CoP deviation for A75 among all midsole types. CoP deviation is often related to jump landing stability [ 26 ], indicating that the A75 midsole has the strongest stability during jump landing. Basketball shoe design advocates using soft cushioned soles to mitigate impacts in passive or unexpected situations [ 42 ]. Based on the view of W-K Lam, et al. [ 43 ] that "using a softer sole in the forefoot region may be a feasible remedy to reduce high plantar loads on basketball players," this study proposes that the A60 auxetic lattice structure is particularly suitable for the forefoot region of basketball shoes because pressure test results in Section 3.1 show that A60 has superior pressure reduction performance in the forefoot compared to other midsoles. Given the excellent cushioning performance of auxetic lattice midsoles, incorporating auxetic lattice-structured soles into specialized footwear for sports that require frequent jumping, such as badminton and volleyball, is feasible for reducing foot injuries [ 44 ]. However, footwear for sports emphasizing balance and stability is recommended to adopt the A75 lattice structure design. Although A75 has slightly lower cushioning than A60, it exhibits more substantial pressure reduction in the midfoot and heel regions. In particular, compared to other midsoles, including A60, A75 has a significantly smaller COP offset and more stable jump landing, making it suitable for sports requiring dynamic postural stability, such as dance [ 45 ] or single-leg jump landings [ 46 ]. This research examines midsole structural impacts on jump-landing biomechanics independent of shoe categorization. The physical characteristics of auxetic lattice designs demonstrated herein provide actionable references for sports footwear innovation. As comfort-stability integration is essential for injury mitigation and foot health maintenance, manufacturers may implement scenario-specific midsole structural optimization guided by these findings. Conclusions This study confirms that auxetic lattice-structured midsoles effectively enhance cushioning performance during jump landing. Their negative Poisson ratio and deformation adaptability significantly increase foot-shoe contact area and disperse impact loads. Furthermore, the study reveals the regulatory mechanism of lattice angles on function—smaller angles (60°) enhance forefoot cushioning, while larger angles (75°) balance cushioning and stability. In midsole design, a zonal application strategy is proposed based on sports scenario requirements. Auxetic 60° lattice structures are recommended for the forefoot in high-impact sports (e.g., basketball sport), while auxetic 75° lattice structures are proposed for stability-priority scenarios (e.g., dance). These findings offer new insights for customized sports midsole design and the development of injury prevention equipment. Although previous studies have measured comfort perception during sports shoe wear, measuring stability perception may have accuracy issues. This study infers wearing comfort and stability of different test midsoles from biomechanical parameters without conducting sensory experience measurements. Declarations Author Contributions Jifa Zhang: Conceptualization, Methodology, Formal analysis, Investigation, Writing – Original Draft. Runhua Huang: Software, Validation, Data Curation, Visualization. Yibing Chen: Supervision, Funding acquisition, Project administration, Resources, Writing – Review & Editing. Yangbo He: Formal analysis, Software, Visualization. Qi Wu: Investigation, Resources. Yadie Yang: Methodology, Validation, Writing – Review & Editing Additional Information The authors have declared that no competing interests exist. Funding This research is supported by funds from Guangdong Office of Philosophy and Social Science (GD22CYS01). Acknowledgements The authors extend their sincere gratitude to Prof. Huang of Guangzhou Sport University for supplying the plantar pressure measurement system and offering technical guidance on its operation. Appreciation is also extended to the Experimental Center of the School of Art and Design and the Instrumental Analysis Center at Guangdong University of Technology for their valuable support. Data Avaliability Statement The data that support the findings of this study are available from Guangzhou Sport University but restrictions apply to the availability of these data, which were used under license for the current study, and so are not publicly available. Data are however available from the authors upon reasonable request and with permission of Guangzhou Sport University. References Bates, N. A., Ford, K. R., Myer, G. D. & Hewett, T. E. Timing Differences in the Generation of Ground Reaction Forces between the Initial and Secondary Landing Phases of the Drop Vertical Jump. Clin. Biomech. Elsevier Ltd . 28 (7), 796–799 (2013). Ali, N., Robertson, D. G. E. & Rouhi, G. 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Efficacy of Auxetic Lattice Structured Shoe Sole in Advancing Footwear Comfort—from the Perspective of Plantar Pressure and Contact Area. Front. public. health . 12 , 1412518 (2024). Leung, M. S., Yick, K., Sun, Y. & Chow, L. Ng S.-p. 3d Printed Auxetic Heel Pads for Patients with Diabetic Mellitus. Computers Biology Med. 146 , 105582 (2022). Dehaghani, M. R., Nourani, A. & Arjmand, N. Effects of Auxetic Shoe on Lumbar Spine Kinematics and Kinetics During Gait and Drop Vertical Jump by a Combined in Vivo and Modeling Investigation. Sci. Rep. 12 (1), 18326 (2022). Fort, A., Romero, D., Bagur, C. & Guerra, M. Effects of Whole-Body Vibration Training on Explosive Strength and Postural Control in Young Female Athletes. J. Strength. Conditioning Res. 26 (4), 926–936 (2012). Zhang, X. et al. Shoe Cushioning Effects on Foot Loading and Comfort Perception During Typical Basketball Maneuvers. Appl. Sci. 9 (18), 3893 (2019). Ruder, M., Atimetin, P., Futrell, E. & Davis, I. Effect of Highly Cushioned Shoes on Ground Reaction Forces During Running. Med. Sci. Sports Exerc. 47 (5S), 293–294 (2015). Evans, K. E., Nkansah, M. & Hutchinson, I. Auxetic Foams: Modelling Negative Poisson's Ratios. Acta Metall. Mater. 42 (4), 1289–1294 (1994). Krauss, P. T. G. Improving Vertical Jump Performance with Biomechanical Feedback (California State University, 2017). Orendurff, M. S., Rohr, E. S., Segal, A. D., Medley, J. W. & Green, J. R. III Kadel N.J. Regional Foot Pressure During Running, Cutting, Jumping, and Landing. Am. J. Sports Med. 36 (3), 566–571 (2008). Alirezaei Noghondar, F. & Bressel, E. Effect of Shoe Insole Density on Impact Characteristics and Performance During a Jump-Landing Task. Footwear Sci. 9 (2), 95–101 (2017). Van Alsenoy, K., Ryu, J. H. & Girard, O. The Effect of Eva and Tpu Custom Foot Orthoses on Running Economy, Running Mechanics, and Comfort. Front. sports Act. living . 1 , 34 (2019). Leong, H. F., Lam, W. K., Ng, W. X. & Kong, P. W. Center of Pressure and Perceived Stability in Basketball Shoes with Soft and Hard Midsoles. J. Appl. Biomech. 34 (4), 284–290 (2018). Erdman, W. Center of Mass of the Human Body Helps in Analysis of Balance and Movement. MOJ Appl. Bionics Biomech. 2 (2). (2018). Shahzad, M., Kamran, A., Siddiqui, M. Z. & Farhan, M. Mechanical Characterization and Fe Modelling of a Hyperelastic Material. Mater. Res. 18 (5), 918–924 (2015). Zhang, J. et al. Pressure-Reducing Design of 3d-Printed Diabetic Shoe Midsole Utilizing Auxetic Lattice Structure. Appl. Sci. 14 (12), 5291 (2024). Critchley, R. et al. Blast Mitigation Using Polymeric 3d Printed Auxetic Re-Entrant Honeycomb Structures: A Preliminary Study. Int. J. Protective Struct. 13 (3), 469–486 (2022). Tawk, C., Mutlu, R. & Alici, G. A 3d Printed Modular Soft Gripper Integrated with Metamaterials for Conformal Grasping. Front. Rob. AI . 8 , 799230 (2022). Fernández-Seguín, L. M. et al. Comparison of Plantar Pressures and Contact Area between Normal and Cavus Foot. Gait posture . 39 (2), 789–792 (2014). Wallbanks, M., Khan, M. F., Bodaghi, M., Triantaphyllou, A. & Serjouei, A. On the Design Workflow of Auxetic Metamaterials for Structural Applications. Smart Mater. Struct. 31 (2), 023002 (2021). Lam, W. K., Kan, W. H., Chia, J. S. & Kong, P. W. Effect of Shoe Modifications on Biomechanical Changes in Basketball: A Systematic Review. Sports Biomech. 21 (5), 577–603 (2022). Lam, W. K., Ng, W. X. & Kong, P. W. Influence of Shoe Midsole Hardness on Plantar Pressure Distribution in Four Basketball-Related Movements. Res. Sports Med. 25 (1), 37–47 (2017). Zhao, X. & Li, S. A. Biomechanical Analysis of Lower Limb Movement on the Backcourt Forehand Clear Stroke among Badminton Players of Different Levels. Appl. Bionics Biomech. 2019 (1), 7048345 (2019). Wyon, M. A., Cloak, R., Lucas, J. & Clarke, F. Effect of Midsole Thickness of Dance Shoes on Dynamic Postural Stability. Med. Probl. Perform. Artist. 28 (4), 195–198 (2013). Bowser, B. J. et al. Effect of Footwear on Dynamic Stability During Single-Leg Jump Landings. Int. J. Sports Med. 38 (06), 481–486 (2017). Additional Declarations No competing interests reported. Supplementary Files srepchecklistforinitialsubmissions.pdf Cite Share Download PDF Status: Under Review Version 1 posted Reviewers invited by journal 05 May, 2026 Editor assigned by journal 05 May, 2026 Editor invited by journal 04 May, 2026 Submission checks completed at journal 22 Apr, 2026 First submitted to journal 22 Apr, 2026 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. 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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-9424953","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":634971519,"identity":"95e4f62f-c927-4438-a181-66c427bd0ab8","order_by":0,"name":"Jifa Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAuklEQVRIiWNgGAWjYBACxmbGBwwfGJjBHAkitTAbMM4AauEhWgsDA7MBMw9JWpjbmRk/2/yyTtzPwHzwNg+DXR4xDmOWzu1LT+xhYEu25mFILiZCC/8B6dyew0AtPGbSPAwHEhuIseW3JVgL/zeitbBJM/wA28JGvBbL3oZ0457DbMaWcwySCWsx7D/MfOPHH2vZ9vbmhzfeVNgRoQWkgrENSIATgAEh9UAgDyb/EKFyFIyCUTAKRi4AALPTNIHO649uAAAAAElFTkSuQmCC","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Jifa","middleName":"","lastName":"Zhang","suffix":""},{"id":634971520,"identity":"38d38f49-7f2f-4926-82f4-c458bf9679dc","order_by":1,"name":"Runhua Huang","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Runhua","middleName":"","lastName":"Huang","suffix":""},{"id":634971521,"identity":"0c6961a4-2748-4b19-8ffe-223bdce44bd5","order_by":2,"name":"Yibing Chen","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yibing","middleName":"","lastName":"Chen","suffix":""},{"id":634971524,"identity":"72d99671-48da-456b-be9e-a00e36c3c1c7","order_by":3,"name":"Yangbo He","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yangbo","middleName":"","lastName":"He","suffix":""},{"id":634971529,"identity":"43c259fe-aa8a-4ce8-9100-f76a952b57f0","order_by":4,"name":"Qi Wu","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Qi","middleName":"","lastName":"Wu","suffix":""},{"id":634971530,"identity":"aa1b052b-9338-446a-babd-caaee6cd7922","order_by":5,"name":"Yadie Yang","email":"","orcid":"","institution":"The Hong Kong Polytechnic University","correspondingAuthor":false,"prefix":"","firstName":"Yadie","middleName":"","lastName":"Yang","suffix":""}],"badges":[],"createdAt":"2026-04-15 09:57:57","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9424953/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9424953/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":109189403,"identity":"32b7c338-14b4-4185-8c8d-2991c1a67d80","added_by":"auto","created_at":"2026-05-13 11:44:52","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":665424,"visible":true,"origin":"","legend":"\u003cp\u003eThree lattice midsole designs (A, B, C) and a PU midsole control (D): (A) Auxetic 60° (A60) midsole. (B) Auxetic 75° (A75) midsole. (C) Non-auxetic 75° (N90) midsole. (D) PU midsole.\u003c/p\u003e","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/96d14aae0e342ad5b4bf400b.png"},{"id":109189398,"identity":"4b40fa9b-4ca5-43ca-af40-7e436fff2557","added_by":"auto","created_at":"2026-05-13 11:44:47","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":152833,"visible":true,"origin":"","legend":"\u003cp\u003eInstrumented plantar zones for peak pressure and contact area analysis. (A) Hallux. (B) Second–fifth toe (Toes 2-5). (C) First metatarsal head (MTH 1). (D) Second metatarsal head (MTH 2). (E) Third–fifth metatarsal head (MTH 3–5). (F) Midfoot. (G) Hindfoot.\u003c/p\u003e","description":"","filename":"floatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/1a360b59a6723c140efca0e7.png"},{"id":109189404,"identity":"164c9065-cf1c-473f-bb13-c2f96bd8bfb6","added_by":"auto","created_at":"2026-05-13 11:44:52","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":173181,"visible":true,"origin":"","legend":"\u003cp\u003eFinite element analysis. (A) Finite element model implementation for foot-shoe interaction analysis. (B) The body weight and the center of gravity. (C) Demonstrative simulation results.\u003c/p\u003e","description":"","filename":"floatimage3.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/a77ef2f5756ca1fa346c1465.png"},{"id":109189400,"identity":"08f6cca7-7f63-49e6-849d-3a23052d49d4","added_by":"auto","created_at":"2026-05-13 11:44:47","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":150363,"visible":true,"origin":"","legend":"\u003cp\u003ePPPs in different plantar regions with four different types of shoe midsoles.\u003c/p\u003e","description":"","filename":"floatimage4.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/e4bf3389f9d594354fd95d58.png"},{"id":109205546,"identity":"7ad799fc-f84a-4d14-a2d0-04db9e969993","added_by":"auto","created_at":"2026-05-13 15:05:37","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":253366,"visible":true,"origin":"","legend":"\u003cp\u003eThe vertical impact loading parameters between four different types of shoe midsoles. (A) Time to peak force. (B) Vertical impact loading rate.\u003c/p\u003e","description":"","filename":"floatimage5.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/fc08edb6d9e059265a85ced9.png"},{"id":109189401,"identity":"65722c73-997d-4571-8f68-17c6cbef393f","added_by":"auto","created_at":"2026-05-13 11:44:47","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":52382,"visible":true,"origin":"","legend":"\u003cp\u003eComparison of COP mediolateral deviations during landing after jumping for different shoe midsole types.\u003c/p\u003e","description":"","filename":"floatimage6.png","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/15c094c0251bbebd60e18dc7.png"},{"id":109207307,"identity":"c74de312-fd9c-4f7e-b3d0-5da13366c4c2","added_by":"auto","created_at":"2026-05-13 15:19:14","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1860077,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/8ff39104-9876-4856-b4c3-1b2b6ec25183.pdf"},{"id":109205111,"identity":"44da2fd6-ad8a-4d19-bc98-69c89c0ee9cf","added_by":"auto","created_at":"2026-05-13 15:03:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":157939,"visible":true,"origin":"","legend":"","description":"","filename":"srepchecklistforinitialsubmissions.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9424953/v1/b36c6f4c5834a7e0aa9b4e83.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eAugment Cushioning and Stability in Jump-Landing: Biomechanical Assessment of Auxetic Lattice Structures in Athletic Footwear Midsoles\u003c/p\u003e","fulltext":[{"header":"Introduction","content":"\u003cp\u003eJump landing is typical for athletes, requiring maximum vertical jumping in place. Frequent jump-landing activities involve various sports, such as volleyball, basketball, and handball. The combination of high-impact forces during the landing phase and the short time to reach the peak increases the mechanical demand on the lower limbs [\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e] and elevates the risk of knee anterior cruciate ligament injuries [\u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e] and knee articular injuries [\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e]. Additionally, jump-landing tasks are adopted in the final stage of rehabilitation programs after ligament injuries [\u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]. Research on footwear products in jump scenarios has primarily investigated the effects of footwear characteristics on foot-ground impact characteristics, such as time to peak force (TPF) and vertical impact loading rate (VILR). Findings on the impact of midsole hardness on plantar cushioning have been inconsistent. Some studies suggest that softer midsoles can reduce VILR in repetitive activities requiring multiple impacts, such as running [\u003cspan citationid=\"CR5\" class=\"CitationRef\"\u003e5\u003c/span\u003e] and skipping rope [\u003cspan citationid=\"CR6\" class=\"CitationRef\"\u003e6\u003c/span\u003e]. WK Lam, et al. [\u003cspan citationid=\"CR7\" class=\"CitationRef\"\u003e7\u003c/span\u003e] reported better rearfoot cushioning but worse forefoot cushioning with soft midsoles. However, DZ Nin, et al. [\u003cspan citationid=\"CR8\" class=\"CitationRef\"\u003e8\u003c/span\u003e] proposed that midsole hardness had no significant effect on plantar cushioning. These discrepancies may stem from differences in sports. R Zhang, et al. [\u003cspan citationid=\"CR9\" class=\"CitationRef\"\u003e9\u003c/span\u003e] designed a bionic forefoot cushioning midsole based on the shock absorption mechanism of ostrich toe pads to improve impact absorption. Kangoo Jumps\u0026reg; uses spring structures to dissipate impact forces and prolong the TPF [\u003cspan citationid=\"CR10\" class=\"CitationRef\"\u003e10\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThe advantages of auxetic materials in terms of surface conformity and energy dissipation have led to their recent utilization in personal protective equipment and shock absorption pads. [\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e, \u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e]. Auxetic materials display zero/negative Poisson\u0026rsquo;s ratios, expanding sideways during tension and compacting during compression [\u003cspan citationid=\"CR13\" class=\"CitationRef\"\u003e13\u003c/span\u003e]. Unlike standard seat structures, auxetic-configurated frames demonstrate reduced pressure concentration during body contact, directly enhancing ergonomic comfort [\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e]. According to C Yang, et al. [\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e], auxetic materials represent an optimal solution for impact-protective gear, offering injury prevention for vulnerable populations including seniors, industrial laborers, security forces, military personnel, and sports competitors without sacrificing comfort. Impact testing reveals auxetic materials attenuate peak acceleration magnitudes to one-sixth of those observed in conventional foam absorbers [\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e]. Beyond energy absorption and dissipation, auxetic materials also feature excellent properties meeting footwear requirements, such as fatigue toughness [\u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e], lightweight characteristics [\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e] and fracture resistance [\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e]. Therefore, auxetic materials demonstrates extensive potential for application in the field of sport.\u003c/p\u003e \u003cp\u003eAs parametric tools and additive processes permeate shoe production, researchers continuously assess the ergonomic implications of unit cell topology and mechanical behavior in auxetic-structured shoe components. RR Ford, et al. [\u003cspan citationid=\"CR20\" class=\"CitationRef\"\u003e20\u003c/span\u003e] applied mass-tunable auxetic geometry to shoe midsoles to reduce peak ground reaction forces and mitigate foot injury risks during intense exercise. Auxetic soles with negative Poisson\u0026rsquo;s ratio exhibit higher strain energy and energy absorption capacity than traditional soles, contributing to reducing spinal fatigue during walking [\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e21\u003c/span\u003e, \u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e22\u003c/span\u003e] and enhancing wearing comfort during walking or running [\u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e]. MS-h Leung, et al. [\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e24\u003c/span\u003e] designed auxetic re-entrant honeycomb structured round heel pads, which reduced peak contact force and average pressure in the heel compared to traditional PU foam heel pads. During vertical drop jumps, auxetic shoes may reduce the anterior-posterior distance between the ground reaction force center of pressure (CoP) and the heel, thereby decreasing the required external flexor moment and lumbosacral compression force at the lumbosacral joint, aiding in lumbar protection [\u003cspan citationid=\"CR25\" class=\"CitationRef\"\u003e25\u003c/span\u003e]. The mediolateral deviation of the plantar CoP is closely related to gait stability during jumping activities [\u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eStability and comfort are fundamental functional requirements for footwear to meet sports needs and ensure foot protection [\u003cspan citationid=\"CR27\" class=\"CitationRef\"\u003e27\u003c/span\u003e]. Highly cushioned shoes are designed to increase shock absorption upon impact, theoretically reducing injury risks associated with VILR [\u003cspan citationid=\"CR28\" class=\"CitationRef\"\u003e28\u003c/span\u003e]. A sports shoe primarily consists of an outsole, midsole, insole, upper, and several reinforcements. As the main supporting structure of the shoe, the midsole acts on various plantar regions, and designers/engineers can optimize the overall pressure reduction and cushioning performance by adjusting the midsole design to prevent injuries in high-intensity sports like jumping. This research introduces a novel midsole architecture utilizing 3D re-entrant auxetic lattices synthesized from cross-stacked 2D concave hexagonal honeycombs featuring sub-90\u0026deg; internal angles. Through controlled angular variation of lattice units, three midsole variants were engineered and validated: two auxetic configurations with distinct acute angles and one non-auxetic benchmark. The study investigates the stability and pressure reduction cushioning performance of auxetic lattice midsoles during jump landings, addressing the following research questions: 1) Effects of different midsole types on plantar pressures; 2) Effects of different midsole types on VILR; 3) Effects of different midsole types on total mediolateral CoP deviation; 4) Effects of different midsole types on contact area.\u003c/p\u003e \u003cp\u003eThe study employs dual experimental verification via finite element analysis (FEA) and in-shoe pressure system testing to determine the human factors performance of auxetic midsoles in jump-landing scenarios. A common existing polyurethane (PU) sole was used as a control in actual plantar pressure testing to verify whether auxetic lattice-structured soles contribute to pressure reduction and cushioning during jumping. Biomechanical evaluation of the interaction between the foot and shoe under jump-landing conditions, analyzing the impact of shoe design characteristics on foot variables, also helps identify optimization directions for jump-cushioning footwear design. Shoe midsoles with this special cushioning structure may help prevent injuries caused by high plantar impact forces during fatigue or unconscious states.\u003c/p\u003e"},{"header":"Materials and methods","content":"\u003cdiv id=\"Sec3\" class=\"Section2\"\u003e \u003ch2\u003eExperimental Shoe Midsoles Design\u003c/h2\u003e \u003cp\u003eThe 3D re-entrant hexagonal lattice structure proposed by KE Evans, et al. [\u003cspan citationid=\"CR29\" class=\"CitationRef\"\u003e29\u003c/span\u003e] is a typical auxetic structure exhibiting negative Poisson's ratios when loaded in all three orthogonal directions. For biomechanical benchmarking, midsoles with re-entrant auxetic lattices (60\u0026deg; and 75\u0026deg; internal angles) and a conventional lattice (90\u0026deg;) were designed and engineered, contrasting with a standard PU midsole control. All four midsoles were size 42. Since midsole thickness may affect ground reaction force and VILR, all experimental midsoles were ensured to have the same thickness. Each lattice-structured midsole had two layers of uniformly arranged lattice units in the longitudinal direction.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThe 3D structure and geometric characteristics of lattice units for the three designed midsole types are shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e. Each lattice unit featured ribs with a diameter of 2.4 mm and a height of 12 mm. Based on multiple attempts at sample fabrication, it is determined that setting the rib height of the lattice unit to 12mm provides sufficient space for lattice deformation when the shoe midsole is under compression. To isolate structural effects, the three lattice midsoles maintained near-identical material volumes (125\u0026thinsp;\u0026plusmn;\u0026thinsp;0.88 cm\u0026sup3;) and constant volume occupancy ratios, effectively controlling relative density variables. Specimens were digitally modeled via parametric algorithms in Rhino 7\u0026reg; with Grasshopper\u0026reg; 3.5, then additively manufactured using Tiertime UP300 FDM equipment (Beijing, China). Fabrication employed elastic thermoplastic polyurethane (TPU 95A) under precise deposition control\u0026mdash;achieving nozzle positioning accuracies of (x,y,z) = (2,2,0.5) \u0026micro;m and 0.1 mm layer resolution.\u003c/p\u003e \u003c/div\u003e\n\u003ch3\u003eResearch Process\u003c/h3\u003e\n\u003cp\u003eThe study performed plantar pressure system testing from January 4th to 14th, 2026, to obtain real plantar biomechanical parameters, including CoP displacement, impact force, contact area, and plantar pressure. Since measurements of plantar biomechanical parameters (e.g., impact force) may be affected by individual motor skills [\u003cspan citationid=\"CR30\" class=\"CitationRef\"\u003e30\u003c/span\u003e], FEA was also performed to validate the effectiveness of plantar pressure measurement results and ensure that individual physical characteristics did not influence experimental outcomes. Ethical approval of this study was obtained from the Academic Ethics and Scientific Technology Ethics Special Committee of Guangdong University of Technology. This study strictly adhered to the ethical guidelines of the Declaration of Helsinki. All participants voluntarily signed informed consent forms after fully understanding the purpose, procedures, potential risks, and benefits of the study. They were explicitly informed of their right to withdraw unconditionally at any stage of the research without incurring any unfair treatment or loss.\u003c/p\u003e\n\u003ch3\u003eWear Trial of Proposed Midsoles\u003c/h3\u003e\n\u003cdiv id=\"Sec6\" class=\"Section2\"\u003e \u003ch2\u003eParticipants\u003c/h2\u003e \u003cp\u003eTwenty healthy male subjects (mean age: 21\u0026thinsp;\u0026plusmn;\u0026thinsp;1.3 years) wearing standardized EU-42 footwear were enrolled based on stringent inclusion criteria: 1) no prior lower-extremity orthopedic interventions or fractures; 2) pain-free locomotion; 3) absence of musculoskeletal deformities (hallux valgus, pes planus, genu varum); 4) physiologically normal gait patterns; and 5) non-athlete status with no specialized motor training. Based on these criteria, participants aged 19\u0026ndash;23 years had an average height of (169\u0026thinsp;\u0026plusmn;\u0026thinsp;1.9) cm, average mass of (69\u0026thinsp;\u0026plusmn;\u0026thinsp;4.6) kg, and foot length of (253\u0026thinsp;\u0026plusmn;\u0026thinsp;2.0) mm.\u003c/p\u003e \u003c/div\u003e\n\u003ch3\u003eBiomechanical Experiments\u003c/h3\u003e\n\u003cp\u003eRegional plantar loading analysis provides a validated methodology for assessing footwear cushioning performance [\u003cspan citationid=\"CR31\" class=\"CitationRef\"\u003e31\u003c/span\u003e]. This investigation employed the Pedar-X system (Novel GmbH, Munich, Germany) to quantify in-shoe biomechanical parameters across midsole variants. The instrumented insoles incorporate 99 capacitive sensors with 1.9 mm thickness, operating at 50 Hz sampling frequency within a 15-1200 kPa measurement range. An EU size 42/43 Pedar insole was selected for the experiment. The pressure measurement system divided the plantar foot into seven regions: hallux, toes 2\u0026ndash;5, metatarsal heads (MTH 1, MTH 2, MTH 3\u0026ndash;5), midfoot, and hindfoot (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e). According to F Alirezaei Noghondar and E Bressel [\u003cspan citationid=\"CR32\" class=\"CitationRef\"\u003e32\u003c/span\u003e], participants were required to warm up and perform vertical jump-reach activities to familiarize themselves with the vertical jumping motion before starting pressure testing for each midsole.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThrough plantar pressure measurement experiments, peak pressure in each plantar region, the maximum foot-shoe contact area, VILR and the CoP displacement were obtained. The VILR quantified as the derivative of vertical ground reaction force between initial foot-ground contact and impact peak [\u003cspan citationid=\"CR33\" class=\"CitationRef\"\u003e33\u003c/span\u003e], and expressed in N/ms. All 3D-printed midsoles maintained structural integrity through 100 consecutive jump tests without permanent deformation, demonstrating compressive durability and impact resistance. Written informed consent was acquired from all experimental participants prior to biomechanical assessments. Additionally, based on the CoP displacement trajectory during jump landing obtained from plantar pressure measurement experiments, the total mediolateral COP deviation was derived using the calculation method of HF Leong, et al. [\u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e]. First, the origin Xi was defined as the most posterior point of the COP trajectory. Next, the mediolateral deviation was determined in relation to the x-axis, which is perpendicular to the longitudinal foot axis. The x coordinates (mediolateral locations of COP) throughout the stance phase of the selected jump-landing steps were extracted. The total COP mediolateral deviation was then calculated by summing the absolute differences between the x coordinates and the COP path, i.e., |X2\u0026thinsp;\u0026minus;\u0026thinsp;X1|+|X3\u0026thinsp;\u0026minus;\u0026thinsp;X2|+...+|Xi\u0026thinsp;\u0026minus;\u0026thinsp;Xi\u0026minus;1|.\u003c/p\u003e \u003cdiv id=\"Sec8\" class=\"Section2\"\u003e \u003ch2\u003eFinite Element Analysis\u003c/h2\u003e \u003cdiv id=\"Sec9\" class=\"Section3\"\u003e \u003ch2\u003ePreparation\u003c/h2\u003e \u003cp\u003eMechanical characterization of 3D-printed TPU specimens was conducted using an Inspekt Table Blue 5KN universal testing system (Hegewald \u0026amp; Peschke, Germany). Tensile and compressive behaviors were evaluated following ASTM D638-14 and D395-03 standard test methods, respectively. Uniaxial testing yielded stress-strain data for hyperelastic material modeling.\u003c/p\u003e \u003cp\u003eA digital foot model was developed from 3D scans of a male subject (height: 175 cm, shoe size: EU 42) acquired using an eFoot 350 medical scanner (Stereo3D Technology, China; accuracy: \u0026plusmn;0.5 mm). To enhance anatomical fidelity, a bone model matching the foot dimensions was integrated into the soft tissue reconstruction. Footwear interaction dynamics were simulated during motion, with kinematic data captured at 300 Hz using a NOKOV Mars 9H optical system. Reflective markers were positioned at key anatomical landmarks (heel, toe, medial/lateral malleoli, abdomen, and hip) to track center of mass trajectory during jump-landing, calculated as 40% of the abdomen-hip distance per W Erdman [\u003cspan citationid=\"CR35\" class=\"CitationRef\"\u003e35\u003c/span\u003e].\u003c/p\u003e \u003c/div\u003e \u003c/div\u003e\n\u003ch3\u003eSimulation Analysis\u003c/h3\u003e\n\u003cp\u003eMaterial mechanical properties, foot models, and motion trajectory data collected above were imported into ABAQUS FEA software (Dassault, France, version 2021) for simulation and mechanical analysis of the foot–footwear interface. The finite element model (FEM) consisted of five parts: foot soft tissue, bones, insole, midsole, and ground. The position of each component in the FEM is shown in Fig. 3A. ABAQUS processed the 3D models by meshing them into grids with a finite number of ‘elements’ with the mesh size set to 2 mm. The hyperelastic constitutive model for TPU midsole components in mechanical simulation was based on the Yeoh formulation [36]:\u003c/p\u003e\n\u003cdiv id=\"Equ1\"\u003e\n \u003cdiv format=\"TEX\" id=\"FileID_Equ1\" name=\"EquationSource\"\u003e$$\\:\\text{W}={\\sum\\:}_{\\text{i}=1}^{3}{\\text{C}}_{\\text{i}0}{({\\overline{\\text{I}}}_{1}-3)}^{\\text{i}}+{\\sum\\:}_{\\text{i}=1}^{3}\\frac{1}{{\\text{D}}_{\\text{i}}}{({\\text{J}}_{\\text{e}\\text{l}}-1)}^{2\\text{i}}$$\u003c/div\u003e\n \u003cdiv\u003e1\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv\u003e\n \u003cdiv align=\"left\" colname=\"c6\" colnum=\"6\"\u003e\u003cbr\u003eTable 1 details material properties and element formulations for each FEM component. The ground surface was subjected to rigid constraints with complete translational/rotational fixation. A tie interface connected the foot and insole domains, while midsole-floor interaction employed frictional contact. Model kinematics were driven by motion-captured y-axis nodal displacements, with coordinate updates at 10 ms intervals during dynamic simulation. A body weight force of 69.8 kg was applied as a concentrated load at the center of gravity of the human body FEM, with a gravitational acceleration of 9.8 m/s² defined globally as Figure 3B. The FEM assumed a rigid connection between the center of mass and the ankle. Based on this setup, the impact force and extreme pressure on the plantar during jump landing were simulated and predicted as Figure 3C showed.\u003c/div\u003e\n\u003c/div\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003c/p\u003e\n\u003cp\u003e\u003csup\u003e1\u0026nbsp;\u003c/sup\u003eTPU: thermoplastic polyurethane.\u003c/p\u003e\n\u003cdiv\u003e\n \u003cp\u003eTable 1. Material properties and element types of different parts of the FEM\u003c/p\u003e\n\u003c/div\u003e\n\u003cdiv id=\"Sec11\"\u003e\n \u003ch2\u003eData Analysis\u003c/h2\u003e\n \u003cp\u003eA one-way ANOVA evaluated intervention effects across four midsole conditions: auxetic designs A60/A75, non-auxetic N90, and traditional polyurethane. Dependent variables included peak plantar pressure (PPP), VILR, total mediolateral center-of-pressure deviation, and contact area. Post hoc analyses employed Tukey's HSD test for inter-group comparisons, with statistical significance set as p \u0026lt; 0.05. All statistical analyses were executed in SPSS 23.0 (IBM Corp., USA).\u003c/p\u003e\n\u003c/div\u003e"},{"header":"Results: the impact of midsole structure on plantar biomechanics","content":"\u003cdiv id=\"Sec12\"\u003e\n \u003cdiv id=\"Sec13\"\u003e\n \u003ch2\u003ePeak Plantar Pressures\u003c/h2\u003e\n \u003cp\u003eFigure 4 compares the PPPs in different plantar regions when wearing various midsoles during jumping. The experiment verified the influence of midsole types on plantar pressure in different regions by examining differences in data between groups (A60, A75, N90, and PU). The F-value, a key statistic in ANOVA, represents the ratio of between-group variance to within-group variance. F-values surpassing the critical threshold (F₀=2.70) denoted significant inter-group differences, with magnitude directly proportional to effect size. ANOVA revealed midsole design significantly influenced peak landing pressures across all plantar regions (p\u0026thinsp;\u0026lt;\u0026thinsp;0.001): hallux [F(3, 76)\u0026thinsp;=\u0026thinsp;1181, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], toes 2\u0026ndash;5 [F(3, 76)\u0026thinsp;=\u0026thinsp;449, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], MTH 1 [F(3, 76)\u0026thinsp;=\u0026thinsp;265, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], MTH 2 [F(3, 76)\u0026thinsp;=\u0026thinsp;237, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], MTH 3\u0026ndash;5 [F(3, 76)\u0026thinsp;=\u0026thinsp;302, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], midfoot [F(3, 76)\u0026thinsp;=\u0026thinsp;49, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001], and hindfoot [F(3, 76)\u0026thinsp;=\u0026thinsp;404, p\u0026thinsp;\u0026lt;\u0026thinsp;0.001]. Tukey\u0026apos;s HSD post hoc analysis confirmed both auxetic configurations (A60, A75) generated significantly lower regional pressures versus the non-auxetic N90 reference (p\u0026thinsp;\u0026lt;\u0026thinsp;0.05).\u003c/p\u003e\n \u003cdiv\u003e\n \u003cdiv align=\"left\" colname=\"c1\" colnum=\"1\"\u003eTable 2 compares the mean peak pressures of different midsoles in each plantar region and calculates the mean differences. The p-values indicate the significance of pairwise comparisons of sample means. The percentages in brackets in Table 2 represent the extent to which pressure in the first sample decreases compared to the second sample in paired comparisons. According to Table 2, 3D-printed lattice midsoles with auxetic structures significantly reduced peak pressure in all plantar regions and optimized foot pressure distribution during jump landing compared to non-auxetic midsoles. The comparison also revealed that the A60 midsole showed better forefoot pressure reduction than the A75, while the A75 midsole exhibited better pressure reduction in the midfoot and heel regions than the A60. The FEA result showed peak pressures of 472 kPa, 477 kPa, and 481 kPa for A60, A75, and N90, respectively. Discrepancies between experimental measurements and finite element predictions likely stem from variations in soft tissue mechanical properties (elasticity, hardness) between computational foot models and real feet [24]. Nevertheless, the results still verify that lattice midsoles with auxetic structures have better pressure reduction performance than non-auxetic structured midsoles.\u003c/div\u003e\n \u003cdiv align=\"char\" char=\".\" colname=\"c3\" colnum=\"3\"\u003e\u003cbr\u003e\u003c/div\u003e\n \u003cdiv align=\"char\" char=\".\" colname=\"c4\" colnum=\"4\"\u003e\u003cimg 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R4boZ3aREyra3+weAhGWOuF5KacHjBUyLmi07bbb5si+mT/18bMkeqO0c6SHBacEkoBv9+4JYMi7D+9UVVX+doZuNNPMPgOj5TkErSwfhG3oVbrTB8z0PcxT6jWTaeOHzS18hnnqfZuFoyvItNlXM+eixVXV/WW6Q4EvpliDRIkCv6ZbAM8S2VFubaHpdsrUVLuvFuUPbSLEPCZRCGtSgKjBtTVARC0dm9UDpEUhRaolUVEfDzSr21nzeIKUpwiQhfGSaJFpK3Ti4Xn2QgP5riXKU3vgBhCieEt95YwuJcibBHZE+ySRRoZTnXoS2SdQBItHq+9STsg4LQSTQ8RA4w3gRvFL7lfqf/LJJ/mUR5tP4k+i2KyP5azgsyTPMiEgE/8aycThscyhzvd6HQ4i58P40N5YwuOSXNfrOwdgzfBYYwb8WqYCTCnr1atXIuOWP4lC0QXAt3WJwBueGxdmGdSnnBlj7TyDvO6VftjbMGCWfzF6ZlHwmM4TSfexWpG7Qit0K3cQ/cUHgFjwQJtSXx1jRTt1LIkqMgc2bwAAEABJREFUPAaUBCHUkTixZFUQwPjxgTGeKysJ34yXcl2OdX1f8uLYnAIcUvpSoAifJTSn+8hd3RkpPZAn8kzXlrz6saqq/IEi26Y9+1b47GiWoF7fV/ycKLN0Zg2Nm3q5c/041pPxIFBVz4vzoaOAqDz8Q77xs7Sii82Y4xOZt0OWICEbKaCA5+SXQ1PawFvkHDay3ElbyVp+mKbUs5wM0DZDCFRb0822l3LHtmSabVbeVVOHA18RJGDXNKrIFOLWicW75HlgkKnaetnQnANg/fv3z1tema5nSAfXzqAwlS563FjP9JA8QKIINvBI0cvvKonBAhysgzbVWZLpaxHtEiUqU2O33npr66sBH7xJQmW7IwaR0VUB3az75ZwQGh/KAKwS56CZgtTOlCj+At/WdcoriUDydgEmhl1kuChxQMkUkPuqTzirqkoAs+tIKe+QAWgWHjuKCIjgAyoAZSOdTGGaaWnML9d4rh0+UKBAMB6XZPag1K0fRZhEAkUpRC/qDpPI09577508kz6BXR94iEyJLlG49ADgZOwaJ8bNkOS5fv/uek7HMXbkF39LYiQ5hvjt3Tn+nEI61bVEntGYHia3ZJvxVMYwOsdP8szwFh770LS+JEL9thKwwwBzZtyvXs9zc6breXHeNgXYHjqx8NiRzHASLV9C48bWpqkb7WpjHXzhvAC/ljIVPjuagW2s39Z1WfbGxtTrGKOujS/HSD+MApxD31ZYssnZqbc2422JJt2KzvSlmRx1LJXgcFga4xqfOUjW/JJpdhePJcEHdl29ISU6gy7hdHG86/VhCPalnjdM5yOwUYcDX4YLIAVeeJI8mPr7yheN4NECYLwPUzo+iLJ2FyNNtVDS2vFACD9AKo+RBmaF8eVjusFBoetXG33yckUWeT2AuEiIMp6t+jxtytuaKkpfpNpAMxhLXfU7e0IfoAN4oOTqz2vaSrkoERoD+gSKciU4jKhogw8KrRkyBSLyw7CiHQcDnRhIwkaB2m5Fsu6asAAuoo2WSriX+8tHc7THJ3kl4Y212/oEfm2dU8rcG2+tQ8ZbMwbWLHd1oSvv92OPIuT4BdDU++KA4Int4xjSehk+GxeMYMnHU+vr8RnPTIvjE8engBr9lQS0aksGTbGSH9eSe3NefNgIPMuTjEf3ZtRtS0fGyjNwQkUw7KRipoG865veAIi178nJ2kwAkgGs08FHpwwmueAUAiW77LJL3taIcysKJGJHtkyLAr/0mlkxM1m+XRDVA6DJqI8LC4/Jdonq4AU9bc19/f7lXD3gyViT5OOjyJWv0S2fkhdp8BTw3QldaKldvaaIHudT4IiurpcBIWTEsqGSzyYCw3aD4HyaVWUPff9ivACnhc+Oxo227CWZpetdN0u2LNOeHvbhlTp0uNk8OoODKy/S4CkA15iRq8++AJr0Yp2XpRdLBi01wkv2uwBYcuq7JDNpQKroPX5Y3mJckHs8ljjG8Jg+2VXyTK5dNyZ63FIp9xIVVk6H2/XBB5eW38jrqqnDgW9VVXlPX4Cy2QL5tdZaK2+xAvCYerVujPBhCqAsikSZMoqITICtd8FkfTLiBoRoCKZbNyqipC9CTvHauonQM6T6FJ2k6HlWjLBIozyGwpS9KXzGFxCnQIpicP/OnhhBUyNAahmwnpkwiAr4UNA5QM9rZ5QYRteMF/qgIWWLjr4KZzBFhdCEQ9JogPVfkiiRSDPa2l6u5APKBEa+fuXjGdDG+aDw+/btm/f5VSbpC3/wlTHwDJ6ntFenpyYGz1ilyPAMTwstbA0IxAKovHyplFlS5ENPgLbkWUtPztCWk2fc40VRrqVe/WjaTaQZmBWloJBLOQAFSItMyPNsgC1+a2NcUtjGmHIKeosttshba2nj2c0mRKQw5f1vARh0JtucfTSzRIFjaGYK0KELySc9ylgxoH369Mn7peMFfkvkjx4gT6JAADKnVZ+NCTimO80QMHp0qKhjYz3ySM96Trqa08zQAuwcM6CtsU1cD0wB9syYB4Twhk4sNXysDWgKzPjIDY9LGYfHOMCDkldVVRLUoH/xj/ODP0BQVTVfv0me6X2BC/qWTDcDwMCTIBLdzJ7itXWing3Y6tWrV3mMOLZBAcv+zGais5m3euAAnqH/RGw151zQlYIJ6M22orkyiUyTdZFfgS26FUhuywHh6ALW6tAhZhJ8D6KvemJXYCK2wy5Y7snRNmtrXFl3XK/f1c47HPgiCADKK2lmSDEI4THCFCkmUp6Util2wicxmPoyze1awgSACgAQZXQP0UCKgmdqUAB6Bos1U0Abpa8fSaRDP5KlGDwu/YmCqm/K0KBTt6skINb7SABOeW6KCo3lSwAlRQh88N7Qj0CKupY2jmhoXTCQLPJKocpvK+m7pLqCLvV9OGVrLdcUpTVHIutt0RkQstOAqW+bd2sXKSXLVAAdtBb5xd9CF5uYyy8JICllxjbZKteOlJxxQ8maCaDwePzK2kqcmNI/eSvR21KfQ0NRM8ieDZg2GwM8lTr1I9kD0IAtUQUGu17eU885NYXOorn0E1oAGhzcUmY5FiOqzOyK6CGAIsIrr57MvOA1uTKO6mX1c7q5roPdS9/1OuVc1Nez+iBSPf17vsH1X9rGMWWgCgihHRmo60MgSH5J6FpoBtCydeXasaqqvKMHnQ5Ak3/fayhrK9Xl2X1E64GdZvXJOgBOJ6tL/n0IB7Q1qx95A1MAzkG3kgTpvq+RUq9evRKHUR5HAw/pTraZnMlvTDAQUAsT1cdOYz02n44v93a0vrixnmvPZfaX7lYPJrIssdhvdbpqGi7At6sSJ547KBAUCAoEBYICQYGgQFCg+1AggG/34WW8STekQLxSUCAoEBQICgQFggLtR4EAvu1Hy+gpKBAUCAoEBYICQYH2pUD0FhRoVwoE8G1XckZnQYGgQFAgKBAUCAoEBYICnZUCAXw7K2fiudqmQJQEBYICQYGgQFAgKBAUGAYKBPAdBqJFk6BAUCAoEBQICoxICsS9gwJBgWGjQCvwtRWYjeQjTZiCBkGDGAMxBmIMxBiIMRBjIMZA9xsDrcD3qKOOSn6hJ9I7XZQO8dwxdmMMxBiIMRBjIMZAjIEYA4MbA63Ad9gCxtEqKBAUCAoEBYICnYQC8RhBgaBAUGAIFAjgOwQCRXFQICgQFAgKBAWCAkGBoED3oEB3B77dg0vxFkGBoEBQICgQFAgKBAWCAj+aAgF8fzQJo4OgQFAgKNCZKRDPFhQICgQFggKFAgF8CyXiGBQICgQFggJBgaBAUCAo0P0oUHujAL41YsRpUCAoEBQICgQFggJBgaBA96VAAN/uy9t4s6BAUKBtCkRJUCAoEBQICvRACgTw7YFMj1cOCgQFggJBgaBAUKCnU6Bnvn8A357J93jroEBQICgQFAgKBAWCAj2OAgF8exzLu8YLv/baa2m99dZr82Hvu+++tPvuuzct//LLL5NfIrziiiualkdm2xQYESUXX3xxOvzww9u8tbJLL720afnbb7+dVltttfTee+81LY/MrkGBF198Me2zzz7p3XffHeSBv/3224T/f/nLXxLZbqwg75BDDkl33nlnY1FcjwAK3HHHHen3v/99m3c+9thj0/HHH9+0/IMPPkgLLrhgev3115uWR2bnoYBfRttqq63Sxx9/3PShnnzyybTXXnulf/7zn4OUf/311+mMM87IyfkgFTo4I4BvBxO4s3R/9dVXp8kmmyz98pe/zGm00UZLP/3pT9Pf/va31ke8//77c1mpc/rpp7eW1U+++eabdMMNN6TFF188jTvuuGn55ZdPjz/+eGKg1Pvoo4/SEUcckaaeeuo09thjpwMOOCD94x//UJTTF198kU4++eQ05ZRTpsknnzxdeOGF6b///W8u0/dDDz2U3nrrrcQYMmr6/vTTT3O564cffji9+uqrCTj+17/+lR555JGknQqPPvpoLtP2ww8/zH288MILinpM+u6779JFF12Ufv3rX2d+TjTRRKl///6t7//888+nlVZaKU0wwQSpX79+CXhsLWw42WOPPZKxUsaEczzDEzwdb7zx8j1K+c9//vO0yiqr5F4otMsuuyzNMMMMaZxxxsnj5KmnnsplntE5HuEP4OqIpyrgJ8X5ySefpMceeywrV/fEb+XaPfvss8lRuaP6ZRyp090T+nLuVl555YSn9fdFh3PPPTfNNNNMeRyccsop6bPPPstV0J6MLb300mn88cfP/DFe9JcrNPxh2Lbddts04YQTpv/7v/9LBx98cKZ7qaZfMv6b3/wm/epXv0pA6H/+859cjI8cm+mnnz6NMsooeWw88cQTyTOo8NVXX6W77rorMaIvvfRSNpKuPb9yPJYPCL355ptZ5rVX5nkfeOCBRDcYS8YjHaZP5d0lAQ5bbLFFmnjiidOkk06a9WmdvjfeeGOabbbZsq793e9+19Q5KLTAj1tuuSXXJ8eciUJrPKE/V1hhhazXZ5111nTOOee06lbldMXaa6+dx81aa62V8Ebfyl555ZWER+TY8Y033mgtZxvUxWdjD8BV7/3339c8ff755wkP6QE89M5PP/1065jNlYbfnxFyJ7rttNNOy3aTXhXYYUs9DPoa68stt1waY4wxElm74IILEluqvDHh6XXXXZediNFHHz2ts846rbxQFz/+/ve/53I2/KCDDkrlXsqNA3qlV69eGTfUbbS29957b+Kk4qFnUJ/8pZZ/5E9gyhh4+eWXk/dyTV5bihM9Ld94MR4c8VrZ8EoBfIcXpUfgfYBFg/RPf/pTVmSUGWC6wAILJErOozEewLEyyUAvAEZ5PT344IMJKGbsKCpKd4cddkgGMwE9o8WTA2AoMMJ6++23pz//+c9ZAJT3798/Ebrrr78+3XzzzenUU09NABKlTCHutNNOybMwlscdd1zaddddWw27/rwHQQOcnesbUPaMxxxzTNptt90yqAeGNthgg3TJJZco6jEJDRkdygwv0bvwGZ0YUc4KUIEo22yzTQIwndcTRWbc/PWvf20dN4Dw7LPPngEV5feHP/yhtcy9ZpxxxrT11lvnbvBW/SuvvDIDmzXWWCNJCv/973+ns846K2244YbZYDN0eAkkKfcOIkPypp122sx/46JE9YAf9/YMjMDZZ5+dowuUsPY9IQEhQOfdd9890OuSI3QEZs8777x0zz33JLJGphkfvAZON9lkk+z0kA/10HKgjv53gf8M8Yknnpj69u2bgS39wbiqQv4YMO3dB1+NPeCMwbvqqqsyb7QBflZfffXs2GoL7OArAD/VVFMl8m7MqKfcmNp8880zIGZwt99++3TSSScpSmWM77vvvhkI3HrrrUlfHOFcoZv88f4CCJwb73bbbbcljozXAyLoWjqU7rv22msTXiprlvAC/bVHr8svvzwBv+oCKiJ49AH5089RRx2VnnvuOcU5Crv++uun+eefP9Edv/3tb9POO++c9bqx4N6bbbZZdtwEkPwAABAASURBVJSBsz333DPbCTof+DnzzDMTeZ5mmmkyOHd+zTXXZCfIWN5ll12S55tzzjmTvpRzePLNu/kfYxv4G2ussRKe7LfffokMs3denS1jE1dcccWsN2eeeeaE9qLr6KtOPbHL2uAfPuobqC51yCq5LbKGn+ST/pTY8CWWWCIHqPB5yy23bA2SAchsLDkvuvePf/xjDlDoXyAC79h4Mn3ggQem/fffP73aEqxS7jnobgCZHTDmjA1lwyuNNLxuFPcZcRQgVMsss0yilAiORMBEfMpT8Q6BSWBnuummS+qPOeaYpbj1qK+bbropKzeDfqSRRkprtXj+2gG6xehSXrxFUQXgk0FkHAkpQzrffPNlT7J3795p0UUXzcBXH6KQFK8oE2+S4G+88cY5KuUhKF1T24SIQZfHgItuOuclizQTZJEN7+r+yoY5dbGGDBql47HnnnvuRIGJ1LlmIBk1Tg3+UHxorI3yegKSKK0111wzoaPEEKG/evgPaMiXOEDy55prLocMTIwPUeKf/exnybjKBS1/Rh111NS3b9+krrEnQq+9aFJLcY5GA8WihAw9fhuTffr0UZyAb+0ZSs8pciQqKfKcK/SAP8b8NC0govFVgQzGDu/JgkjtUkstlWcByBiQgo/4UlVVjuSKJJLtxr5cL7zwwnlZER4DtMYTXeE+DCwQtcgiiyQ6BY9Nc+MpQCYPUOXwMJ7ADZBDtvUtqihKaUyK9DK65L+8l7LFFlssAfcMqvqcbG0na5nBAgrxHwDgpK277rqJoVbeXRJakwOzKeQYDehZ7+d60003zRFczqwIvgiessbEuQSOyS/5MX7o7n322Sc7QIIfnCIgW1vlooXlXmb5yBl9i6+caWCcbvdsopFmAQUx8N6z4EdVVTlKaQyYEaBrADF8YoOqqsozBXhtVse4FFzBW/bDs3T3xC5OMcUU2e6SIbQ0WzPyyCPnV0cT+q7YcHqZM8opaSa39KDxQKfqC63p+9xZyx+BK+OEHeakoD3+4id+k2HyimeWpZixYydamubZgB133DHP0nJcRfCNQTZfuaNnJefklr4RbBGoUm6W0fOYueUYW9rifsqGVwrgO7woPQLvQ2kyfpY2eAyRGANWxLdcAygMyHbbbZeBLK+TACivJwJKqf3kJz9JVVXlIgLIs6OslAMx5V4qAEgUKg/UYOcxMmzuWVVVjh5SeJQqwyzCq0+Cz+gedthhrd6k6DFDqj0DrP9DDz00T4E6J5DFQK600kqJgJ9wwgmKekziNAAQvO5ll102g4by8oAv2jFc8hg5BooCcl1PFKNU8vCNc0ORymOU6nxm0IBVSlc5oCoiyVCKMFhWg3fKzEIceeSROfLP+FoOAbyITivnJIlWAFcUuDEk+sfpUs7p0V4EyjOYBhYlcT/lPTmZNiaLDA2Hg5wBtowk8APMzDvvvGnvvfdOhS8AMoPVjG5AUsn/xS9+kUTggSIGE5/QHA9KHWCG0eOsqKtNKXMfdY0deYwm4GU5DnBu7HBen3nmGcV57bfIlzLPbIxYN6hQVNisk3c0zoGqo48+Oke4lXeXJHLKuaDLREjJNjnzft7Z8bXXXkveHe0FEuQ1JsEADs+SSy7ZWjTLLLPkpSLkmg4HQkxx0/9mAkyRkz08xiugrIAxYwqYsqSG7TD1jlfkHZ9FkC1pYxOAapE+toEDZUyZEQKSlZvuNgvBWTNGObj0OiDW+rDd+IQ9pYvRFo1E4YFWyWsLFPRuCRI5lwSl8Ese+ZZXT/iiDjlkP4Hj+jcz+ItH+tUOPqA38IF+oDvkS5wr1+q7xp9+/folzg6dYcxY/kSXKGdL3NOzGWvqmZUpzi49jffaGatmBPFe2+GVAvgOL0p3ovtQSASN8fJYhM30l6kUisY0CqPoXHk9VdWACJFlDQCWMtMVAAoDV1VVInA8egCbUlPmnIBS2gwfD1ZbiWCY9gC0ATLPAewQIJ6oKVvPpC5h8aELoMQD5Y0CtpSwctM1wB1FyyDyOIe3N+k5RmTiXYv4SmjAEDF4nonSAnSdl6QOIFqu2zpSVvhS512pi6+mJ5WXPGBG1N2U9Kqrrpqno3n6yo0VAEefAJkxANjit3KK2EdtgLLlDaJ7xgEApBwIEu0FrICkvn375g8lKG3lPTkxclVV5VmZQgcyB5wo4wibJmXIGB6AZqONNkr0QKnf1lEfnGYyRYdwUNXl0JJf/Rf9olxZSXQBQI7vRV4BIHzkpJJ3SxkALnzVjiNrDau29Mz555+fp02ViZABg4wuOe/Tp0+eJp5nnnkUd5vEMRTl5sjSdd63V69ere+H7mbFAEUy2Exvq1x0bOGZPLLvSD+TSX0AzxxKQMbMENnEV+3pZ/UlY4pOB5icA+N4xeERxADeBDGqaoBNEO3HL/KsP4DZfaqqyt96AM6AEr1uBgGIBrrdq6ckvCOTaGemi2PZ7N3ZNzLEUaiqAQGoxnpmQNgCQJPDyCaju3r4XR9D+ChfdNaxnvRD/jgs8jm8wKooL3k2I8hmF7mj4y1dWrhlpohD5f6WogHq2sMWZJzNMXa1NTaUDa8UwHd4UXo43YdhMqhKEhmr39oAJlyUnOmLeplzET4DdZJJJskfjcmrJwIiuvLll18mETfTXAwXY2jamrGzfkf0j/ACNoSAkNYVbr3PxvPeLZ6tuiWy6FkY61IPCFKHcpTn2lFyH8rZszCevFXLJ5R1t8TYFz6bWi6OSHlPRgPtRRJMI5f8YTlSUowaANusPfCKD3VQDQy7r6UmEqMq6lOUq2gVgwn8SMaeZy39l3J89i7lWjmAa4xwshhnY1nU1/hT3p1S4bEjY/hj342xEX0BFBkhzgnDIzo0uL7pFvdnAK3lVpdzY32faVKgjD6wXo/MAqbqlMQBYrBNYZc8RzMQeInPnCrX8iX9k2F5okvGh3GgTBKJMoa0bXZPdbpKsl4XjyU6lQPh2dGN3rVOUhDB9LPlD8okYx7gBUZE8JQDo8p+SDIuzJbRlyJ2AKilUHg2NP3gIf6JCuMH2STTpa1z5QCRSGa5Vs4ecXaBMZFJZZ5jaJwx7btawuOSgNLy/JxR0XvrZ+lzNpbuLeWOHBB8YofRXF6zhH5m2eht8mN2hFPSrG5beXS4sWjskb1SD4hlZwUi8IhMGnv1crJrHHCc1C9l5FRbM7pmHPRLd5fy4XEM4Ds8qDwc78E4MTwlAZ712/P4AF8DjrKpl5VzCojy4hWWvPpRWwKpjjV+EiNn7VlVVQnIEanRPyE1dWOdHkE0xUnBEurSJ6/W4K8Ljmh0mdIs9epHQMl6p3peOSeIIoCigiWvOx5FdAufKVFLSRrfk2IUJS+8FDk3nVWvh/7q1fMaz00rA5f411hmTFHEHA08L+WWJVC6ooMiPxwi09pAV6njaEmEqIHzZgmfrUVrVkbhMtKiEM3Ku0Ne4bEjgDOkd2JoGBbLi0pd4IXzqMy5vgBJa7RNkXNc6Qq8LG3qR3rFVDk6Ayb1shKNBMAYaVEg8l43ZsamWQdRIssZ6u2dc5rwGch1XU9AnygkBwfIrZc5N+a0NQvkerimdryZqDm+SCLbRU5FwelOH436wBD9LAMqDqRHwFeODL1LVuv6VblEfo2B0q88su9I5wNcPih1H7NEdDxeWo5Ap9IRdefIsjRR+Dqo0RdZNRXuvFkyBuozQ/U6HGdR4WbjoF6vq5/jcUmcxcb3AWrxgG1lL0s5+RLMomuH1r6JwBZbWsYFPS6SW++XrSbfJY/zROZ9V8NRKfnlaEyahai3KWWOnpFc1u26fMlMgyAK4Ey+5Q3PFMB3eFJ7ONyLETDVX5IPReq3pSxFCoHUen79nDLjeQO49fxyTskCnqal55hjjiRiZCE8EKIOQaDYKFDTqATKVBylywvkfTK0jKkItOkQgkXpaR9p6CiAt4XPpj+Bh2Yt8RPIUWZK2zIVuzu4traaYi3rveU1S6I/lKXx1Vhu+QQDKioL/JRyESwRHm1EaH3oYvyJYJU6cRwyBQqPHQHVIbVAc8bO1CZDiebOzYKQa04QgwZA6ct0KTk2JowFefVERjmvyshpvcw53lqqwNmkC1wDPvSEcs8gQgmYur+8SINSABDAYwmwxS+1TAWLgDonY2QYeBWNk1dP6tHDgGw937nouPaigK4lyw7UN17IsCUKADJgYupaAsjJsDECVBeHigMLSHkefUUaegrgcUkcx8aW9KiIOZlxrpwcsd3sp6CTvKFN+qK/BZi0Ia8CYIWX7IBIbHFi2Gw6ggNizGjTnVIA3/bl5gjvraqq/NUlBSgZ8PWHokRtE8Z7L/kGPUHwJTgv3vS4KRdTEeoAr6Y2RYRcM5zaWKsnmiia54OIIqC8VJEp3pxpHJ6tJQja8u58fS8SqA9T9PpnNIshVi/SkCmAt3gsUWiMFYcC3/BQBMf0FieEAtUjI0W5WXIAmPqYUbRVlEa5td48fN6+a0mEECgyBgqP5ZeE3z58E/UveY6MpnV6tsZhVK3hY1QBLeWRho4C+FuSSG5pRQ4BUkfghGFUBvhab2mZiYidI9klY8aMCIzkwyMRPE4NZwiwMYYYPPLvQyoRYDJsSYTIn2VQokfGjX7dD1hSBrhxsoy9AnCNGxF/8g7MifjTG47lefURKeU12YXP5ATYRBfyie7k1Xp2+tTuCXiJjiKotjnj3HCALXkokXGgSkCBcyrPlLUIozqcFLyyzZ2ILr3AyRHQoDusuTaufODmOUQhgS7rw5X7ENWyl2bOkPqR2qZA4bMjWcEfOzXgJ/kjt9ZY471xQB+TV9+3WFJEHtldDiYHiCOED9ZN46E1tbYJ0wdemdWxdLAER0ST6XUybrbObh9mcuhwjjJdLeKPx56JzNrCzH3afquuUxLAt+vwql2eFLC1nU29Mx4/AEuofEHs2lY1FKV6QJVrUxuEihHz4ZF8QKvsrqAuQ6kMwBaRtPaP4lVWkik50WCG0PohQlmiG6VOHIeNAhwMBopx9CU4vllnVe/NXqnAkq2pLEuh2Eo53nBYCu/li8wDQgyj68YEwIgYiQ7Uy6zlM2ULIOE3o208MNj1enE+bBQgh4CLZQU+/ANQS0+cDobR1DhjSK4XWmihXIz+jBonhhPKMTFjg/cqmLHhyIoAiegZR4yhvZMlAAy4NibUZ2CBKEtZTJX36tVLdk74T+cA6NpKoobGJIOeK8WfwVKAfuS8Aq3FkQVoNcJn9LV+3nIn4ElgQ5lkpseaXw6Na5FCS6SMG+MC4CG7ygRD6A3jw7ptzjHdUBxVM3a+27CEBfgFgq0N1zbSj6MAx0Nk1bcSACZZZj9LwEJ0VrSXo0qGJHXZTTMrgkbGSAG2+gKILQOzfShHmEyXpyTbxoqIv/18LZEBfJXT03Z94MS6jyTPLAJsoE5XTwF8uzoHf+Dziw7UFaPmokgUHePJcJn2JkzKJB+SUbjaVVWVf4GLsRT1aQS1IrqUMHAFgGnfmAi5CDO5HGhIAAAQAElEQVQlS5GKNDXWiethowAFCNAyggylKG1jT9ZPU3p2UaAQRf9KHdE53n0dlHBwOEuOpV79KMIsUlzPK+fAr0iF53FP9y5lcfxxFGDozNKgrQQAlx4BHV+H+0gG/YFeecqrqkpAC5kWkQds6+WWI9leCF9FHvWh/3oytkSr9KcPAMoX+fVxo8z61Ho7556ZjlEeacgUAEQ5KJwIkTx7XQOhWgo6FJr6EM26SvkliRjS6aW+fMvUTLPje3F25EscZ/pbn+qQX/klTTDBBMl98NAzNTq7pV4cfxgF2FszJpwRtGdbLU0ovViaiObK6kk0XpCCLHJSOEJVVSUOj2ituvJFg0tfjuy0PLsikW+6hF1WRu61a0yCF+6lTldPwwX4dnUixfMHBYICQYGgQFAgKBAUCAp0fQoE8O36PIw3CAoEBTo/BeIJgwJBgaBAUKATUKBTA197Flpcb+E+WllnZqG2XQAszJYXKSgQFAgKBAWCAkGBoEBQoLNToHM8X7sDXx+6WLtpjUpJ1iV5XWtUSp5jfVsV5Y3JBt7WmvkQQ5kvG22gbiF2d/m60HtFCgoEBYICQYGgQFAgKBAU6HgKtDvw9QGFBdZAqoXTPowqHzLYMsnXhj628BFEW/vEltf2haKvCEV65dkf0qbNEe1FjUhBga5PgXiDoEBQICgQFAgKDE8KtDvw9bWgbY9sm+ILQEDVl6Jeyhfdvh70laqviF3LFyW2jx1AawsNW2bJB47rX6PafsdX68okdbUBsrWx6XL9upTLs31TKbeEwmbs+ogUFAgKBAWCAkGBoEBQYARRIG47nCnQ7sD3hz6/ze8tXbCfqM2wbZtkM/Wh6cf+dKLI9ir183uWQdSv/fShPQrtP2fPWPteAuH2m7RWeGjuEXWCAkGBoEBQICgQFAgKBAW6BwU6HPhan2uP2JLsKVcnnV8p8cshNun2ayE2ZbbJfb1OW+f2HAWaS7lfs/Hb0eXaxuo2cLf/rCUYflxBuU2d63vklfpxDAp0CgrEQwQFggJBgaBAUCAo0CEU6HDgu8wyy6T111+/Ndmkuf4mNlEWubUc4Ygjjkh++tR5vc7gzv34Qr288drPr/oJRuuK/TSnaG9sul2nWJwHBYICQYGgQFCgc1EgniYo0FEU6HDg62M2vzpSUvkJvvJC1u1eeOGFadddd01+JcbShFLWHkfrjJdeeunkl4puuummJPLbHv1GH0GBoEBQICgQFAgKBAWCAl2LAh0OfIdEDqDXb4f7ecSlllpqSNWblvuwTVL49ddfO7QmH775PWrrh4FeSy5+SES5taM4GcEUiNsHBYICQYGgQFAgKBAU+HEU6BDgC3wCnMDo+++/P9AT+pjNLg4ffvhhsrOCvXpFZYHSp59+Oi91eOutt5IP3JS/8847ye4M+tORj9hc25nB9RhjjJH0YRkDgPv8888nO0S8+uqr6bPPPkvHHHNMstOEj+cOOuigBGDbZk0d7SMFBYICQYGgQFCgS1AgHjIoEBT40RRod+D7xRdfpD322CP95S9/SbYQ22abbdLuu++eH3TfffdNa621Vvrkk0/Sbrvtlo499tgkygsMb7zxxunjjz9OM844Y3rppZcScHzAAQekSy65JN1yyy25j/vuuy+tueaaCahV349YzDTTTGnmmWdO22+/fXrooYeSXRt69eqVQbWP2A488MBktwfg2lIH/fpRDB+9eb78YPEnKBAUCAoEBYICQYGgQFCg21Og3YHvqKOOmkRW33777WQXBZHb/fffPxNyzz33TCKyIrmvv/566tevX5pjjjmSnyW+4oorkg/RfOh2zTXXpGmnnTap/49//CNZmmB3COt/7foAvOrHD1z4UO2iiy5KL774YvLhGmBt2zJ9Adqivscdd1zr/UWhAW+7O4w88sg5vwv/iUcPCgQFggJBgaBAUCAoEBQYSgq0O/AdyvtGtaBAUCAoEBQICrQDBaKLoEBQICgw9BQI4Dv0tIqaQYGgQFAgKBAUCAoEBYICXZgC3RL4dmF+xKMHBYICQYGgQFAgKBAUCAp0EAUC+HYQYUd0t9Yyf/DBB6l///7Jx4P157H22s4Y1lrX88v5f//73+QjRXVKXrOjtdZ215DU16967v3VV18lO3FIdvmQX5Jr+fpXt+SXo/L6s5133nl5l49mdUubnnzEh7vuuis9+OCDeV09PvhwE1/Q2HUjfdBYu8b8Ztfq4pdU54u6+naPcq86j5wr086YUr+etDVOSp5tDaXGe5TynnxES987kIU33nijlRR4iPYSGVTvf4V5LKC9MqlO61KnHNEcr9Qzdur9lDqOpZ5+jYuS594SnsqrJ/WkknfGGWekJ598Mj9fyYvj9xRA48cffzx/lI2/35ekhI54VM8jW/ghX/22eFdv49x98Mx5SWUM6KukUke/xoZ89yltyhHv62Ps0UcfTdddd13yfKVOHL+nAHr6wa4zzzwz+SaqlOAxOqNnyWs8oim+SPppLC/X+IFfkjGC56VMO/24V8krR/XU13+z5/CMUql/1llnJd9f6bPkdeZjAN/OzJ1hfDYD1Q4Yp59+eurbt28af/zxB+rJ1m8+FASU6gUG8u23354/KvRre35UpF5ePydIO+20U5prrrlyWnvttdNrr72Wq9htwweOfrXPrht20fCRoUKC8ec//zn5BT8/LPLYY4/Jbk2EDVh/6qmnWvP8sMn111+fjWVrZpxkClBc+Mxg+VDU1n12QfHh6IILLpj69OmTrrzyyly3/AGgzj777LThhhtmB6fkNzvim91R1l133byjCl762FRdxg+I8VEpftpxxUeqnkm55zAuVlpppbT33nsnH5XKl4y1G264IZ1//vkuc1pkkUWSbQ594Oq+OTP+JDLDqOAzmfnVr36VqYJGW265ZZY/coifDGkubPlzzz33pCWWWCKXk3e/XskQthQN9B+/rr766rTFFlukeeedN5Hb2267baA6dIoPiv265lZbbZXsqvPII4/kOieddFKW52WXXTbhac783x9G1XPffffd/8tJeRx5NttPGgetBXGSgW3RfwsttFD6xS9+0UoV8maXorHHHrs1z/ae9PSSSy6Z/DgUGbzjjjtay9s6QXcfhU8++eStVWw9uvzyy+fxYjxJU0wxRVp55ZVzHfz2K6hk3bhz71zQ8sf4uP/++9O5557bcjXg/yyzzJL8QNXRRx+d6JwBufEXBcg054Zs4NlEE00kO3/ITyeuscYaye5VObP2B9/Izj777JP69u2bdtxxx7x7Vq1K6ymbYLzMPffcmaf4xuFUAb/wjy1eb731ZA2U7Li12mqrJTItqFIv1K/nruOHFVZYId16660JttB3vf6IPW9+9wC+zenSpXMNaADEoG18EfsXU06NQsX42d/YvscUqCOhaGxfrhkyoJaSltSdZJJJspG2Hd1yyy2XCIet7IAsRlNbu3xcdtlliUACtLa1k1+SbeYoW32XvAkmmCC5tkUeD7TkxzEltERvRhI9bAnIyPihFnyhUO2IoqwkionjYkaAAi75zY6ArqgN2gM4ANIJJ5yQq1KI+raV4OWXX56VJBDM6TLOjCfbFaoPuBWlq/ETTzyRjFNK33VJFL4ZigsuuCBvSVjye/LRmEff6aabLo055pitpLB7DRnCZwmvxhprrFxuDKDxfvvtl5SJKnFCfv7zn+fy+h/joKqq7PCqC6yQ2VLHGGHkOLMM7y677JJle84550z2XD/44IOTXXI4R2UHndKWER933HETJ6zk2U3HeDV2OcklP44pmfHAVyClTg8ROICH/NXzbdHp11E5JHTway3Bh9///vd5L/t6vcZzdLdVaN0ZpZs32mijPF6MA4kzvfPOO2dwRSZtF2osClC4d+lXxNJ44zSVPMfFF1/cIW9dysbki/iTgwDoOM8886S6THIURxlllPTss88OQiWyR44PP/zwxGHB76OOOiqpP0jllgwRd/r/lFNOyTxV1y/YthRlOy1IQgdzoOWVZMctut62tH74i9yXMkfjgq0HqF1L9JJrkV/6W15nTgF8OzN3huHZGCkev8E88cQTD9IDAGPw2wauXkihShToWmutlbRlAOt1yrmokinXiy++OG9FRwinmmqq/HPQVVUlAjD77LNn4WTgRhtttMT4ac9QUuKutakrT4rg17/+9UBGUhuJkSWQntF1pJR/7AXgoJz8AAyaoDXjM/XUU2dnYcopp0wAk7KSRIwoxNKm5DceGTMKkBE2HiRj45xzzsmAh+EcZ5xxEsNL+ZolMO7wEbAWvcVPShHYLgoROKeUF1544YEiWuX+HDZ8dv+S117HrtgPI8iZmH766VNVVfkV/LAPcHrppZcmsyNkiRwWmQVUTzvttPS3v/0tgxbyiO+5ccMfugBA4XDONttsSV/OSzU8FbVbYIEF0nbbbZeMLdtWKsdTIGjCCSdMQJGtKeVLZo9ELDnBruvJs7rGZ8dIKYPVQw89NM/E1MEQ2gC0r776apY11yWJ9G666aY5orfKKqukTTbZJIMmOrrUaTyyEddee21iB8htKRfwWH311XNfor0TtAQcOClmAUSbOUj0tjbGDKBc2uqP3lde8srRTAI+l+BHye/JR9FzW7DSz1U1QKbRw+wsPeu8MbHrdK5tWs3u0K1t6XD6V0SfsyIK27t374Tf5FG/9IR7jTfeeK06Rb5EtwDgysmpIJd8yYwO3ptJcl1P7Axdgdf1/M54HsC3M3LlRzwTr5pwMEJ+yKN0RdkxRAAPEMnbK2UAhullAicqJGq00kortS5dKPXKkedJSRrkIoumx+pLFkYfffSsxEWdRfREhMr0bLkvIAQAEyLPpr1f4DO9YjrWdIryck+GwD1FH9Qv+T35eNVVVyVKyp7VhQ4UG8PEwRDtM51W9tEudYb2CGwBNcBQaWPsMKrAGNCDF5JyYAiYpRzxWcJD5X5ABg/x3XMbn8CS/hlV7UsC0EQiPHvJ68lHsukXKosMoQUZwQuyK8JHzgqwIJ8Ai2gdJ4UjYU90kWNtG5O6xg0gY+qUw2I5Q6knikM+LTeiIxhROgYv8biqqrxeF689p3ZAml/iBKg9j3s7KpOMBwCbY2V8yOvpCcAgV5az1GmBbhyKWWedNXE062V1oIkXnEx74E822WT1aq3naG3pE9pLVfU96PrlL385UPSRcwpYGxs60L/2UlVVOdJoDJhBZGvcl94GmtTRRtIvnUQvuI6UEqcV74DLoaGHGRwzqAIb5B29yRant1l7sljGgKUw9PK9996bI70ppWZNWvOA4qoaINPGnjGlkH4xu8iRhTPItPsok4Bw4JrzVue/ss6WAvh2No78yOcxECnPYoBKd88880xef8NTLHnlCCQRIF4+zx3gocBMdZQ69SNhNb3NAyVMAI8pb5G8Us96LwZblMDyBVPdykQPCMeFF16YeKOALPBGsVtLdvPNNydRB4nR1qYkBtcUnbVoJa8nULsCHwAAEABJREFUH0UNAJFGGgCSIn1+CAZ4RH8RgMZ6Q3tN2Tar61cWGUegiCIEiI0joHaClmgRwGWZBD4zmgytZ6qqKkcN8d7SBusGy/hwH4bWPUW5jGd5PTkBRI2AB40tOSCrZIYRsrSEIwFUis5aYkJeTFWKwuNFWwbJ0hTG2Do9smuJAh2A7vjHYebA6k9Uca+99krqWce52GKLpRJdMiNgrFm/S9YZSs4sebZ8yvPpU+L4ANn0j+uenl544YVElzbSQQSNo+MXShvL6tf4ZbkBvVvPr58bS+o0gut6HefGk19CFd13DfyI8pFvuhtf8ZcNoI+BMEtt8Fmim7QriT7gDAHFJa8nH9k7QZ+hpQHbKnJL3szyWDYG/Lbl0OKXX82lG/CR7aQHBBSGdE8Os+g9Pksi9u7P1i+66KJ5lrfIdON3A5ZAcMbZ9CHdZ0SWB/AdkdTvgHvzwA3uulAZtAwkYNnslrxJipUiA5hNXfP0h8ZDt/bWQnsfPAG5pX/GEHAV0aEkGUb3AIAYbOBGlGqzzTZLhNM0iUjz5ptvnj9+EXkC2Cjg0qdy5xStY09P6Fqfki70EMHz8Qmac1Csu7Q+sJQPchzGDE4URbjDDjskStXyFzsOiAjoskzBAq+eQ4SYUqQ0gTBjxjOK8PpITj3tADezBkCR8SyvJyeOLJDYFg18uEam0N4sTL2eaBs+ADqcFDJYLy/nDCUjCuRaq2tJFGdZOSMt2iiCRD/4sI1zJaKr3MePgDmwLRplpkc0yzSuNf6iTdYjWtZkzGoj4TFeB/BFjZS/7K/rbbkAJLBJZly3lciOen369EmAS7N6nBYgyCxds/J6HlmtqirhecnnyC611FJ5JtCHzUC66XqOKwdb38aN8chJ4gyXtnQ35yqA7wCK4AUZGXA15L/soPXYAClamv2hZ4FRsji4HthzTklVVclywcHVLWVmC+kE/Db7I2BhaQVga/wYC5ZcWO4Ib5R22rDxAXwLReI4wiggIme6mydOKfXt2zcrWQbMNBUFJhJUBMjAJVymPIbmoUUdCYQ+6vUZXVECgBu4ppyVW6u47bbbJmtCRYaAYNPpDLeogCUNhIywF+OrXaQfRgE84fWLsFOaP6x1ylFZY0AkqrRlXE1bigCKIjB0lKqlMRwfa8JE/dSnBIFjO0yI+DCSxYDrk/I2PWY8KGMYtYv0wyhAXkWA2zKkHCEy1Sifze6Cf8ArmRa5Vcc4wlvnEn2Bt6U/fNSGPsFX4LtPnz55hw7LJ8wkcW4sdQHi9RFp6CggqOCDJk4F3c25BCjJkahf6cXsCCdRwKHkNR4tT/G1Pt7oS994BUz5oK5en4Ni3JDzkm8Whi73XQFHiOPjGw76wIwNR8a4EEDRvj5mSh+d+diZn43sSGyi5yTzIr7yXA8pmaUl20Vmh1RfQGXrrbdOsAKH2ZIHfAVyyTR7TafrryvKdER8hzQCulg5oMII8ijLo5sesU6P0rMkwQcqIguOBjPDBhzZforyNJgpRFFffcjjqRfgSgiAZPUkkTtTYoyl+qJK6jjXhsLkdVKQ8koiMJZWmO4GgES1PL8pcyCIgq9HHDxTVVWDrHMr/fW0ow+W8AwPyrujN/rjmfyqqhIHBH9KHUdlpY7rkvAVr10DpJIvzdXVt/W5ovzW86nj4whTsBSiMtPljJ+ykihr68s9r3FHWYsQAuP6ZSApceNEG/cxbQssUfDyenLy5beIWp0GZAOf8VEiMyJ96OgaH4sM4ieaAk+cTOXySrkyfeGFsqqq8haI9IJ7WvfPMWHwXLs3/tEZrksCvkTyTY26D/4BT6KH7oenpU9tjAv3JPeue3qiIwFIPCi0EHmzdIHeluyOIUouwo+W6oqYc0iB0aqq8r65hbf4iu7q0bNmVvQj4Sud7NyypXJPdUWayTW9XPLLUbklE/grqi8fDy1jcT/RPs6R4Ikyie42W2BcuO7pCb3Zv2Z0QN+SSjm9SX/aSYdsK0fv+eabL38g7JqMFb6TafXIlzJOLF1tuVnp01FZqeO6MXFgRHsBYHpbH45mXcmvewhSlXbu4xzQduysKYBvZ+XMMD4XpUg5AhWUkG4oIAC3JAqNQSJ8vXv3ThSoJQa2F7I0wfQzb14UR3sen6iA9X8ERbkIn6/GARpTXHYW4PETOJEfUQGgVpRBtNeyBn2VJLpr7ZrpkpJHMZpGMVVqHZPIBIEv5Z5DhIGSLXkdd+z8PeMzwwRYlKcVQccLX+H7GOmAAw5I9mnE81IHQME3xg1/GM5SJkLL4aFU5dm6RhTPljjWaFp+YNpaGTDEoXIP9ewIYkwpqyfPZLyJOsrn3FDYxgWlahmGnSgoVOXuTYEC3erK68nJx6OFJujAuOEHICMayDHBU9OP6MwRJYOWC4nkoTEgYsmB9uhuz+RTTz01bxnHYRGlt7TIcgRrg9dZZ528K4v6liMxePhu7bhyINrHdcolwNt4sx2Wa4kjYz2w9cUSPSOSpEwyrjhQdcMpv6cmDiUwSTcWGpCnorcdBReqqkpAEPpyNOhi9OVwSBtssEHrfrq+00BzwBOd9VESZ5i94FiJ3pV7AjR0A0eq5NWPls15xjKelJWlanQ6nUDnANXKJIEYAZh6nvyemuhYPOGU1GlAp7Kblieys0W3GxfkkMNhLT9+05vkDU3JP3tg6QEbTY4tbyLTdD3ZNEugH/djpznTljHhJx1Atysryb09iwBZyRNEsfTB/eEFOt2YLOVwg2gwWS95nfEYwLczcuVHPBOgYF0OQ8kANuvKoLRGiyJUTvmZwuL5i7SKwAG9BSypz4jyFquqSkALZcvYqQ9olb5E6IBcHh9lB7j6iKlXr15u1Zp4irbfAZZbM1tO9t5778SgEiZRjZas/J+SoBQo8pwRf5LpSkaL4irkYIAAJU4PxQUcSaXc0bgwhWltrkgtICRfAnxNcRUQKqoH0OqPoWXUGFJ1ef2SSJOxwynBf2X1RDFb8mKclXzT3xS5iII1gkBbKQPEjSfvUvJ68tFaPrS3PhodyLiPidAU/0Rg1SkOIeMEcJJbMsO5Ja+cJO2BYPstA0D4hX+AMBnDT0uQ9K2upF9jANiy9AjvGMMyRtTxDHYXsezBdUn0iGdzH+MNgFYmOkU/MNyuI6W87SCHgiPTFj3QkqOpHHgR4ABogNiSAA/jQx26wJIGDpHrelLPR4r1POd4yfHJS2dkNCQ6n6NUj94aY/QGh5XTJUJYmokAV1WVBDJKXk8/cvSrqkrkrU4LOlsASOCoqqq8O5Jy8oOn9KwIrbW6aAzsVlWV2FlBI7KsviMekmkgmn0v0Xnl+gB02RC7PgDOeKesJDqfHigyW/JhAfqC7fac9I0yDpNZIcsYXXfmFMC3M3NnGJ6tqqoMiAzWtqZSePfABoNWbsEoiuoCxIyVSEMBKvrywQswor6j9upSrKY95UtVVSV5yniGhLUIhvKSCGF9GUPJB5JELESgGe6Sb4pHXwxDyevpR2BIZJe3DsyiB2OF7ugPxIqayq8nkSXlJfHaS7kogbXgxkPJ4wBZK4wnDFzJB5yAGb/aw9Ep+Y1HPKMk6/nGFqCkvXvW72e7JR9keZd6m556bukSp0J0RrS3qqq8127hM0eX4Sv0QVuGyQeFPnIEcOogFQjinBoHVVUl8gy0GA/knINb+nKsqgF1gGl18At4VlYSncJRce+S5wgcAUn6F92tqgHbZ5nSp3/0pV6klPAFCLGjhqBCM5rgK5lRpr7lCnhST4AJ2qpDxjiYdf7Ll8g9B8h5PQlSANj1vPo5MKROPQ8woyeAHo42vpdyMwXW+RvHJa+nH8kK+bPDBhBa6CGohL+Fn3VZJFtkmVzjG0e06E1gmZxZLlNVVWKz6VD9AL2N+lk7Y0m5RD7rut3zcGI5U3jruiTjjp6gWwRBqmqATJuRNaYGt8689DGijwF8RzQHOuD+hIDX7UMI3l473mKEdMUr5rnycAn/CHmITnpTDoofmLCDhkhNJ33MoX4sU+kUslRVAxTqUDfuphWBFrMjwKIIbld/TbM99gQFvhnorv4+7fn8gI4dUvw6V+M0eHveZ3j1ddttt+UfNBKVbgRQw+sZOuN9BHg4LbaDKzM5nfE5h/aZ2GczdZa4wB9D225E1QvgO6Io38H35fFbC1SPBHXwLTuse8ZRFDIigM1JLOIn+seLb16j6+SKHlv/1nWeePg8qXX6pqUtPRk+d+y4u4gGkmezPh13l47suWP7Nk194IEH5h+I6Ng7dXzvZirwuuPv1PXuYKbUjjj1mc2u9xYDntiMHj6LEg/I6dx/A/h2bv7E0wUFggJBgaBAUCAoEBQICrQTBQL4tgMho4ugQFAgKBAUCAoEBYICQYHOT4EAvp2fR/GEQYGgQFCgs1Mgni8oEBQICnQJCgTw7RJsiocMCgQFggJBgaBAUCAoEBT4sRRoBb42Hr755ptTu6XoK2gZYyDGQIyBGAMxBmIMxBiIMdCJxkAr8LUPoz3bIk2dggZBgxgDMQbaYwxEHzGOYgzEGIgx0LnGQCvwte2VrSgi/SoFDYIGMQZiDMQYiDEQYyDGQIyBHz0GOh2magW+P3bNRLQPCgQFggJBgaBAUCAoEBQICnRmCgTw7czciWcLCnRHCsQ7BQWCAkGBoEBQYARRIIDvCCJ83DYoEBQICgQFggJBgZ5JgXjrEUeBAL4jjvZx56BAUCAoEBQICgQFggJBgeFIgQC+w5HYcaugQNsUiJKgQFAgKBAUCAoEBTqaAgF8O5rC0X9QICgQFAgKBAWCAkOmQNQICgwHCgTwHQ5EjlsEBYICQYGgQFAgKBAUCAqMeAoE8B3xPIgnaJsCbZZ899136dtvv22zXJk6bVUYUnlb7SK//SmAF1JbPSuT2ir/5ptv2iqK/C5CAbI6OB4rk9p6HWX6aKs88tuXAmQu6N2+NI3ehh8FAvgOP1p3iju9++676bnnnktffvnlQM/zz3/+Mz300EP5ZxUfeOCB9I9//CM1U2xffPFFevLJJ9Ptt9+e3nrrrYH6KBeU4htvvJHuuOOO9Pe//z29/vrrTUHq119/nV577bV0zz33pEceeWSQZ9Lfo48+ml588UWnrenf//53uuGGG1Lfvn1znut80vLH+WeffZZ22mmn1L9///Tf//53oH7/9a9/pZdffjn97ne/S0899VRy3dKs2/3Hp2eeeSbzsfHl8Of555/PvL755psz/dGtsV65Rn/8vvPOO9P7779fsluP77zzTmtf+kN/he7zyiuvpNtuuy0ndAdQlEn/+c9/8hg7/vjjM7+++uqrzC9lUinv169f5mW5VmbsqK/PmWeeOY+xerk6PSF9+OGHWR7xu/F9jX3yRd4byz7//PP02GOPpVtuuSXdf//9qfCssV651tfjjz/eymfyiv6lvBz1Y6zUn0f/xkU9kWs81M6z6HuzzTbLfHQtX6KnpFNOOSXttdde+TnxWZnkPsbu1ltvnQLMKc0AABAASURBVK677rrkWn53St9991169tlnM6/IEn06pPejfwu96eCi59D8pZdeyvJI737wwQeDdPXJJ5+08lkfrlUiz4X2yyyzTLYXaK8s0g+jAPuKtvWEtx9//PEQO8Lb++67b6B69CpdQOfjU73w1VdfHYif7nnXXXdlWarX60nnAXx7ELcpzEsuuSTtvPPOqa7wPv3003T66aenP//5z+mQQw5J6623XjrwwAMTQaqTh8IEKE866aR04403JiC6Xl7OGcWjjz46g1730+buu+8eCPxSxCeffHI66KCD0hVXXJEYPgau9OFI2a+22mqJ0XMtPfHEE2m//fbLgNkv6lx55ZXpsMMOS++9957idPDBB+d3GWmkkdJPf/rTXPecc85J/gFh22+/faI0JphggsT4ugaelHeXxDgxagAjZ6bxvfD+yCOPTIceemhOZ5999kDOQb3+rbfemscEpXzaaaelP/zhD+mFF16oV0nHHnts7kd/+F6AC8cHf40r7TbeeOMEPKeWf3iNr3/5y1/SL3/5y/STn/wkOb/wwgtbSlP66KOPcr+XXnpp8quSAJWxCUSpYIztv//+eRxr7z2N2XJvdbp7MuavueaahK5vvvnmQK8LlJJXYBHd6oVof+655yZ8xw88wrfBGV08P+KIIzKfydvf/va35B71fl3j4UorrZQBrDI6ZNNNN83tjA9pu+22S8YSA63fnVv0EfmfaKKJshO26667trZXTxuG/ec//3mie4466ihdp7fffjsZA9dff30ad9xxE0DgfZ9++ulc3l3+cPLRnizSu3/6059yoKCt90Mr/EQ3iXwWh4Duo5PPPPPM9Mc//jHttttug3Rz3HHHtfILrcmeSvQxetPB44wzTgbju+++exrcuNEu0qAUuPrqq7Ozjz/Svvvum+3yqy0gddDa3+dwQjh5m2+++feZLWcCEhdccEHuo/C6JTv/xyN8cx+J/dxiiy26bdAnv/QQ/ow0hPIo7oQUGNZH6tWrV5p44okHAayMEyAIODA0W265ZTaKwES5l+gQRTnddNOlHXfcMRGm2WefvRS3HildSpUR22WXXRIgOv744ydRPfdREeg9/PDDM9glxAzd+uuvn8YYYwzFOVGm1157bWK8c8b//njOqqpylOq1lmixOhNOOGEGT6p4JtFMIPemm27KEc/f/OY3itJYY42VPBcDQsGITGkLWOUK3eQPwI9OlCR+NL4W8Ljkkktm8IHf++yzTzI2Guvhwe9///u02GKLZYUKQIn+7rHHHgm4Vh8NOSD6kQAT9wZAOUbGEt6fcMIJORpnTGjnGaeYYoqEVw8++GA2ooDLZJNNpjiNOuqoCW9EJDkmnBT31LcKgM4vfvGL1L9//8xXvJ5kkknSz372M8U9IgH83pkcNL4wR8JYB3KlerkIMIeCg0uO8ZPRFDFtNl4AWrM8G2ywQR4zp556anaA3L/e760tTtLDDz9cz8pO5jHHHJPbGR+SCP2yyy6b8A+AIpecJDIpOonvZTxOO+20eZaB4wzQelft3YS+8I6AL3k3rvU53njjKe42aYcddkhzzDFHwqc999wzy8VVV13V5vuh4fTTT99Kc7KHJgAsXuIj5wX4wfN6R3S+oAE+SYIT5FsdenLMMcdMJ554Yo4Wojd5JKvKIw09BUTKzzvvvFYe4esss8ySJp988jY7wbuLL744GeuNlciCBPTWZ2rp1xVWWCHrSfyU1lprrbT44ovncdTYT0+5DuDbUzjd8p4EY/TRR285G/g/ALLmmmsmoIOSW3HFFRODIzKopmkZinLppZdOPE3gWfRFWWMSxRENYpDUcb/lllsuATelP4qZgQR43YcBpWxLX6ZVRXLnnXfektV6ZCgZewIuKqjAc4822mhOE2DunpQ8L9iz9u7dO5dR2lNPPXWeTgfC3WeqqaZK8nOFbvIHqAQc2gKB/fr1S8Cu6CoAiabNXt2SF0oWzfTFeHJQGEfRNm1EzDk3In1AE9AiHz8o2FlnnTX/Tvs888yTKGDAWTlg1rt37xzNtVSCMwQATTrppIrTKKOMkpSrZ9zgt749gwrqKteWogeK8dK7K+8JCY3JdLN3RTdlzUAJZ5Gcckirqkr4O+OMM+YoYiNI1rcZIc4u4CXCTLaNL2UlmU0yJn7729+WrHwEcPv06ZPIrETWAdX55psvl+uH/nFfMum58JEMq6DMcyrjyKk/zTTTKMrOLqCA/8aIMWD8jD322Lm8u/zBQzIH+JBDtKKn23o/zqYgBgdFfeBUXTRdeOGFk2vyI+GNspIEJCSzABxfdUsZPTlZi2Mq35iwbAKvRh555FIljkNJAct60I5MSJw+cmh8t9WF5Qn0NZlorGOMkHdyXy/T5xprrJHIhftIIv4rr7xyvVqPOw/g2+NYPuQXBgh//etf5yiD2qbHJBG5VVZZJc0999wJ4AE6lDcm3iygwiApo2D1yXABR6btAF2AaYEFFkiLLrpoXhbB6KkvskOIZ5ppJpcDJc/B+HqGRRZZJInmWqZRpnoPOOCAHI0QIQHSTOWKQOvEVJ0pQBEjHi9jbxrQuijlPSGJwgIw3p1hBEBMMzd7dzyTD5Q6SmiHtyJvHKKdW6apAVqRo+WXXz6JvKrXmPCdwRZBVsaI//Wvf83rxNddd9081owvEQ3lpvFNxQNZHK4555wzrxmn/JVznChw0TB9AVyiU/VnVS/SoBRAr5KUAkcADeMLPMqrJ/wWqccLDjDZEUkqdfDV0ppZZpklDc5wq88pNnMEhLkWSRaFMlNjZkGk0lR7cZAshxHtp3cWWmihvLwBMNPWGDSGOc9mMDhZxoSxoby7JBFW0VUOK/3lffv27dv09QQDTJvTqZdddllaaqml8vKRemV6mO4VibeUrJQJFogGW5rC6V177bXzzF8pp5ctkRH8oJvpXvoTCC514vjDKUDP4i8911ZrtpbupucawW1bbZrlW1pUVVVid5uV95S87gN8ewrHOvg9gVUGZcEFF8wRYICFEhR1WXXVVdPll1+egEsL5EVuGh8HoGWATFGLADGa1oQRVtEewgto6p8BM2XHC6WERW1EE0xrAq6ifo39z90CugFZHixFbO0oQ6kPdYFq0UzKGJAW1bScQhmDYT0xBeOZGAXXosTKe0ISwdloo40S0MmImb60LhKfGt9fZE00WD0gl8EUrTedbDxwaIwJxtjUuaiu9Zs+lGzsy4eQANYmm2ySi8wGmGa3NALIMT6sOxYJUUH/llaINFrP6xrI4ewoNxtgHHgGY8rHNvoqgEqdSM0pwIlgSDmFjC6nkTwYG/jS2IqsmRa3Vh7NgWYyB/CqS9ZF2meYYQaXbSZj7KKLLkpml0olDhiwip9A8Oqrr57IrGhYavmH/5azaMuhJt/WK7YU5SgWYAyoWYoFjHlGIFp5d0mcTWCTHJxxxhl5OrzQvvEdRbsBVsuL0BpP8A6oLXXpRrLMSURPYEgZ2aETyR0HhWwrJ/vKPYcgw8ItUWPOCEeEoyoSrDzSsFFA4AEvmkVyS4/0K5kgoyVvWI5mUtdZZ51hadqt2gTw7VbsTHntJYVUkuUEP+QVKUTJVIgpLECYYTRlYlqxqqo022yzJaCIsWnsG4ARUbTMQB+m3KzfAzpNU5s6N0ULHAO2gJepGOsORStElIDbwU3lATs81vJhhuvyHM579eqVREcocVNAFHopB6D0rW3vlql216Wsqx1FWwufgQkOxdC+A6AyyyyzJIZNO1PJjW1FAZUzcowgY+qjDPlTTjlla3XOjjzPI2pr2ru1sOUEUBJNXGmllQZaV4ZP2or4MuzGBX61NMn/GVTleIWX5Voh8M2Rcl+RYXw0S6C+8u6UCo8dt9lmm8G+2tAUivIzfnhrOQpjSP6MBzLZVh9AMedGRNGYAaBEfkVYOZPGVFtt5ZtxoQPwzHVJpm/pE3xW7rqU4alxARADuK6Nm1IO6HlmbQF616Wsqx05bngsmUXhZHoHQQZr5o1zMgTIWh+qrK1EDuhsTq3dawQhSl2OjA+cLE8SbHAsZeU4wQQTJLMz9DnHVD7HlQw6pwsAMfrWdaRhpwBe4jf6NuuFY4gfbGaz8qHNI68cXDMrQ9umu9YL4NvNOEtRWVdXEpA6tK9IMHiWjExRaFVV5TWaIkSiLvpi4AAPhtB1Y2JYRYNN34i+Aj1AsDWalKWIYF0RAzv6pKBFG0RsKG5J375EZfQ8n2sJYK6DL3kloQGQXjegpcyRodTWfV131cTQFz6LwhSj9EPeR0Soqqq8A0ZjO3Q0FWoamxFmdAEdPG3G+94tjoQ2jQpcRAO/ROQKT+v3sg6bMa7n1c/xqi1e4qEx3njPevuufl547Giq88e+D0cQILLunlHFN8sYLGFoxp/G+5khwWfJjh0i95wQbcmpCKHxaDan3tYyGOOpnlfOtcfnZuOqqqr8USqHtaqq0qT16L7a1gFxa2EXOhEcwGMJL+hLj88xNENmaQG+WXYi8i4CrnxwCV2qqhrko090pmc5LKL+zfrgTOKLuo3lIvUcksb8uP5hFBCJF5kXuGirpaAAm0zHGetklk6df/7588fBbbVrzOes0sFm8RrLutn1EF8ngO8QSdS1KhAO292U1GhoTJFRdI7lzSxn4NUDvRSuiB2wagqMoJmGBFQZSm1EZn3YYB2Za9FCyyFEJVzrT9RYpHDDDTdMhE1UVxmhI7CAlH48i6/2RXABZlHketKmb9++icKnhF1HGkABUdjCZ1Eg4GVASUqWeeADJ6PkOYq6SfiPX9ZLAyulrelmETzt1Zfw13Q2HlgbiH/yRXcpYA6R/ixRsZSBgVYuXzTRel1gy7gypswGKI80dBQoPHa0E0O9lWg6PqN1Pd85HpIv06jO5ZUkH/8sDbDEBG+t61eur3vvvTdvKeeaQ2p3FW0YajM4Isaiq2Z36vLKKRKVtZSGTGsvGQOWpIjsuo40KAWAWzyWRPYBYbUEBYAWMiZxcIFOPMVbu2kUmTKjRiaBYuu1b7vttrwDh0AAvpJ9dfHSET+LjXCtrT7pd3y1tMgSB88Rqf0pwDm0HWFjz5a1sMlkm7zhRUnsrmi+JUBFZs3M4imd7tjYn7GiTzMqzRyZxvrd/TqAb3fncO39fM1tTRxQ66tdSxgIDIGwVtb6LcBFsg70rLPOyq3nmmuuvJuDj4f23nvvZK2l6TjTniowktbRAjYE1fY5ptLcS+THeQGtgLTlF5SrSJH1etoBXyJ/Ign1pH/CKtojwuQ60uApYJ004IHPpiRNoZYWPnjhSOyzzz5JpIHzYUqzlBsXPhhjNE2DWqoicYpEnvzwR6kL6Bon+GntIQfGlLNyjo8PXxhxe4EaU5I+jDt1hlvqpjcSicdbsmRWhMNSXpUBJL9mXfDJdDbwqRz4IceWFSnHpz59+ijKiTxaa10cXf2QT+PAGn86wxIJlcllXV7JMDm1nAFAU0dixE3XcnxdRxp6CpBJdKcrCB9eAAAQAElEQVQv8Q0/t9pqq7yrBZmza0756JODyjlS19IIzg39627kWXtt6V1T7Ka96WjlHBx2wLpqupsTTFcoi9T+FKBjOSbNor32vscDDogZlrqMmdmwDFE039GTseHklONCt7uWXxJ9bCZGEIoNLvk99RjAtwdx3jKDfv36JVMldjxgmKpqwFIG6zMpSApToiBNsSAP0ArgMHyUpI8nABhRPOUiwkCx6eqqqhJATJgBImBHe/VKMsXG6FLQvsamiK0vLOX1o2hGHWzVy+K8OQUs5TBdyrCJ5FkSUWoCND4qVC7Cjk9FeapjP0kfq8kTVRKFwmu8tGsDUKOeZN0tQCXyrC9LIYwpZdrjrS/SjaeS8J3yVSfSj6MA0ImfdtQgI2VqXK+iOj4QBYx9gIQ/RQ6BT1Pc5BsAauSHKBJHhsOrL2CIbjAbJNpv2ZL+lTUm40qUXx/1MtFLUeLyDPWyOB88BdAN+LUOFH0B0yWWWCI38kGUH7ggpzLwRuDBEc/thkEfKDM+yKFoMtnUH5lVJuE33cCpocN9MGqMKYvU/hQQyWeP2eXG3q2/N4tnBrexzBp7gY16PofTbinlo0S8rpez1eytSHE9v6eeB/DtQZznIYrUlkQYvL6IqmnJkl+OZacEdaylZCCVOdYNmPWbpsPUqaoqf/xGiRJGbRsT8EShUsxAMyFtywt1P9N0jX3EddsUYOiAXbSTrIEttYEedJco3EYAY5mC6AIe4Segw1HBI3mlH0cg14eIxo5tqOpjAvDlzLh/Y6LwtY/04yhAPvGn0BePSo8MpvXbpQwPOTLKjQHtlBcdIL8kfDdmyjp//apPVkVyB8c/UV1jSx+lP0c6wvNW1aBrdJVHapsCeGmJCDnDB2uyiyziKb5YdqIHPEN/9TgbdT6QdTw3JrTBS31rJ+kL35WTXX1VVfALbToikSN8Lbys3wOf8KeqBqW/CDB5rte3HhvfSiKH9XK854z6Nqee31PPA/j2VM7He/dwCsTrBwWCAkGBoEBQoOdRIIBvz+N5vHFQICgQFAgKBAWCAkGBHkmBAL49ku3x0kGBoEBQICgQFAgKBAV6HgU6BPjaIseazbaShfW2thke5Pbhh7WMnsVHWX6VbEj3tUWQRefWP2lnTavfSh9Suyjv8hSIFwgKBAWCAkGBoEBQoBtToN2Br+2sbDZv5wAA0t6APpbxdbEyP13qS3Jb4nQ0XW3V4wtXX6TbfxR49aXq4EC357IliH1N7ZMHxPvK3Tt09PNG/0GBoEBQICgQFBixFIi7BwW6NwXaHfgCjr5UtPWNrxYbyedrwxVXXDGVr03tRWkLFb8A5EcN6vXtc2f/QvvS2dPOPoTK5dt431Y8xx13XGpsp47k/ueff36yFZf9RO0xal9D+1gqb5aAdVuCAMe+qrTdiy28fBXZrH7kBQWCAkGBoEBQICgQFAgKdA0KtDvwtTWHbTPqWxvVSVFVVbL1iq2Q7C8pmmoLJUB4++23zz+OoD5wa786m6lbagDoAq7KgOUbb7wx2dLDr5TYiF9+Y7I1i62dSr6oLTBsK62S13gUlbbRs5/XBJht7g8EN9brSdfxrkGBoEBQICgQFAgKBAW6AwXaHfgOLVH8DKpfJ7EBu1+e8SMG9qCzLAHY9RO4fnbRZts24/bTt3496umnn05+gci+kH66b8stt0w2Zh6a+/oJXeDapt9t1QeUjznmmKSuTdtFf23qD4i31SbygwJBgaBAUKBbUyBeLigQFOgmFBhhwNd623/+85+p/uMEq622WgIwH3vsseQn96699trkpzQB4iOPPDLZJP/jjz9ONnd+/vnnE2AKCPvxhCHx45133kmWOWy77ba5qvtYA3z77bcnyc81ih4rrKoq+ahtjTXWSOeee2565pln0iuvvJLiX1AgKBAUCAoEBYICQYGgQNelwAgDvoVkZd2ua9HWqqqS3RRc+/Upv2Vd0vXXX5+suwV8faxmycIhhxyS/Gzqp59+qknTZOnCCy+8kCxbKL9UJOIssms5hWQt8BdffDFIe79M5ReHvvzyy4HL4iooEBQICgQFggJBgaBAUKBLUWCEAV8/u+hnTevrcy1t8BGZ35P287p33HFHuuuuu1oJesUVV+RzSyHU3XzzzZN1vzfffHOOEOfChj8Aqwiyn/mztrgU+4k/oPm0005LkiUVzdYli0r7iU/rlkvbOAYFggJBgaBASkGDoEBQICjQ1SjQ4cDXkoQnnngivfnmmwkILQTyQdvGG2+cP2azK4MI7GGHHZb++Mc/5uUPCy64YD7aHcJHZtYCW3Iw8cQTJ8skjjrqqASUfv3116mqquRjudJ3OX7yySdphx12SCLGp59+erJzxIEHHpj23nvv9M033yR9TTrppEkab7zxkg/zRIFXX331ZL9fz2x9r2eyprj0G8egQFAgKBAUCAoEBYICQYGuR4F2Br4DE8CHYT5gm2+++fKWYwBkvYZtyoDdgw46KG85BnDusssuuYroq+UHf/jDH9Krr76aQWppb+mBD9yWX375vM7XVmWzzjprblf/c8QRR+SP1OzQ4FkkIHv++edPos31uuXcmmJbmm2yySY5EgwoTzbZZKU4jkGBoEBQICgQFAgKBAWCAl2UAh0KfFdYYYVkuUJJ1uI20mnTTTdNtia78sorB9mdQRQWKL7llltylHaMMcbIza39tURCJPeyyy5LdnfIBQ1/rN0t9y5HIHixxRZrqPn9pa3TLKlQb6+99kr2Hf6+NM6CAkGBoMAQKBDFQYGgQFAgKNBpKdChwLfTvnU8WFAgKBAUCAoEBYICQYGgQIdQoDN3GsC3M3Mnni0oEBQICgQFggJBgaBAUKDdKBDAt91IGR0FBYICbVMgSoICQYGgQFAgKDDiKRDAd8TzoMOewC4ajz76aPrXv/7VYfcYHh0/+eSTeQeP4XGvrniPb7/9Nr311lvp7bffTt99912nfYXPP/88+dEYPx7TaR+yEz+Yj267gyzQSR999FEnpvSIfzS7HL366qvJrkUj/mmaPwE5tlWorUWb14jcQSjQkEGm0fCzzz5rKOlclzYT8FsIdsPqXE82bE8TwHfY6NbpWzEsp5xyShp33HFbfxDEQwNGfhXPbhvLLrts8st38v0i3kknnZSWWGKJtO666+b9kwc3yG1R169fv1x/9913z6BLP43Jh4lbb7116tu3b6LIld96661prbXWSvZOtiWdvHrShnEseX5R7+qrr062pyt5cfyeArb3u++++9Joo42Wt/bzgy0+7Fx66aXTKquskj8e/b72wGcULp7Xk3HhFwtLzVNPPTX5VcU111wzf6xa8hm8ww8/PC2zzDLp+OOPT4BtKXMsz+Fc8sM0VVUlWwYymvIiDR0F8OnCCy/MWy7a67ze6uWXX84f/6600kqJbCnj7J5xxhnJzjf4aa/yZrKmbj35QSE89auV9AfnmR7wATK9YJz4xUyGsLSjCzbccMPkQ2XPUvLL8e67705kulz7ESE77HDWSl4cv6cAgHH55ZcnH3P7BdHvS1KyZz15q+c1nr/44ot5G0+82nvvvQcJGii3leiqq66arrvuutbmeN2/f/+s033YTX5bC1tOjMH6B+q2//R8tvxs9uNPLU3i/2Ao4Ee3zjrrrEQeGmWarUNXstNWF+yp3zFYaqmlEn6yAWxlY32yeuihhya7Zp1zzjl5K1e/ROsHveh08tvYxi/Z+si/5Hs+QQsJhij5XfUYwLercm4wz23wAyIzzjhj3gbuF7/4RWttAx+IsUUboZt22mkTAGPbNj8MYneNRRZZJP/K3b333tvarn5Ccapvj2XCwdjtuOOOSZSi1KMIGcKtttoqLbnkksm2dfZLZkT32GOPtM4662SwDFSVNo768qMldtdwLc0yyyw58nHJJZe47E7pR78Lh2X//ffPxqrsZW2bQFHg8847L/mRFvSuG7j6TS+99NKseBdeeOFUkvGDV+rh8/XXX5+OO+64BEAxujfccIOiZCzZHhAQsguKyEUu+N+fE044ITtR/7tMlOccc8yRevfuneoGtJTHsTkF8BJQxBc/7jPyyCO3VrzmmmvS7LPPnkYZZZR07LHHJvufixKS7TvvvDPZv9y5XW3++te/Jn20Nm444UDhD0DK6DKmdAdH+eCDD06c5auuuir3YWvJAqTXW2+91KdPnzTWWGPlLSDr3doL/cwzz0wLLbRQa/YUU0yRJOMHQG8tiJMMUjmrdLS94wHLQpZ333032boT+C15jUezPgsssEAeB3QrnpLZwquXXnopzTDDDGnFFVfMP/5kn/sCrsgwfQ78Aj7XXnvtQN0bg2xKyeTI6mu55ZbLQLvkx3HIFCCjxj+ZYYvJWb0VR/OAAw5I77//fj279Zzep9sdyRbe+b2DR1tmeFsrtZzgrR/v4sSwEwJOHBbyTA+zrWUL2Zbqrf/9TgIcUDI8J/vQv3//pK+S31WPI3XVB4/nbpsClB2BYCRLLd68wU4ZEpItttgiUaxVVaXnnnsu8fqAUQIoEgB4iviU9uXI2wN8GF/7MzO4lCfjSMjU48nuuuuuOWLBCxV1EnmuqipHkgFt+y67D9CkjcQztX3ddtttl+oKv6qqDOzOPvvs5AdR1I2UMgARTWck7XtdaIK/s802W/5Rl6mmmipRYIxmKa8f8Y9DQflJW265ZTL9xqBxQowZ/LCt3wYbbJCdGFEGEQmG0daC00wzTfLLhvhPoXNuRPjwmHKt36+qqjTvvPPmmYZGJV2vF+ffU+Cdd95Jt99+ewJKGS0lACxQy6FEd6D0V7/6VZYbso62008/fQajjJYxwDHFG+3riUwDxhwm+sH+5/hf7sUR5VTRJ5wXDq0ZJVH7hx9+OP840TzzzJNllLNV+qaDODiesS7Pymeeeeasd4Bz15FSdu6BHQ5Hr169BiIJ4Ere6r8+OlCF/11wNv3qqa1EySR9es8996SLL74464vtt98+6wPAl44QqQeGBCpE88j5RBNNlIGzMVccE/bBeNDmf7fKh6qqslNjtsfz5cwf/KfnNeCAmG1lZ6uqGogAjz/+eP7dA/wbqKDhgsOJ3/S2gBV5ZG/JOGdZwALYVWYc+NEwPNQNJwboXXnllbNN9izy8ZHOZ9NFouWVZFzQC2YDSl5XPQbw7aqca+O5DXpRGYAGsC3VROZ4axtttFECdCxrELlVbnpTZKYIBaXLs2fwlNcTgbLOkAEsxoxAMIqMLSMqCqUOwWX4RJpEker9lHMG3Lln8FyWTZiyl1dP448/fv6FPUJZz+/J5w8++GCyj3XjvtQcEtPcIrB4gkaAiWNjMqVdz7vggguSqTNAhzIEZI2lUoeRxCuguOSVo7Hh3LgyewAUlzElvyRTuKJFwJbxWvLj2JwClvkArSJDpQYgcvLJJ+elDACHaC9eoyfnldPB4IkcAc4igSJD6F76KEdT2EcffXSacMIJs0NiWpTjwkFV57e//W16TwlBLQAAEABJREFU4403ksixCJSoIINpjCivJ+PFdQFqxkujAVWu7eSTT57oJNeRUnYELHEQ8a3Tg04ly3QgPVsvazznBKFtyQdUOJ9ALLkUOKjL/FxzzZUdF4CptClH8uzeAhJsAR1Sd7BLPUfPZVYJcHIdafAUINOAKttZrylAwX6z04JL9bL6OdtOz5c8/XCM6daqqnKkmE4wo8uh8au1nExOcWlTP9Ib5N1z0dtAcr28nNMFnCjAveR1xWMA367ItcE8M8NDSfnxDwZQVd68AQ1QMm6igAyiaCGj99Of/jQ5Mq7qS4CtqJ7zeqqqKo066qhZsAiKMgCYQRXppSytRWTsTGeKPvgFPlEfESBRKAINaBNEIEs/t912W2Kse/Xqlaz9Jfim2/RfksgiYOZ9Sl5PPqIZWuJpnQ6WnchHQ1HyzTbbLLWlyOrt0JWTsvbaa+dsfK6qKtVBLhBsjDFwFK3ZAiBHHbzWBwfGdCtwJtpverY+toxLMwCW0rSliPMDxJ9MAQBWpK+ADvTnNJC3iSeeOJEpjma/fv2StXvkGTBlpERutt1224QfliM0c0Q4OIAPYM3hFfEXGaQjyLMon1+yNANkVsgyGJFCfMRzz2a9oVkfMsyIPvDAAznazPnFfwD41ltvTfrLL9XyRz/GMN3Tctnj/wO35Add6sQQNBBZx0N6uV7WeG6MkEn9lDJyTPeWKD0+lzKzAc6BW+BVPWCXU80xcX7UUUclIEvZ+uuvn/r27ZuXqWlXktkG+rou56UsjoNSwKzpOOOMk21pKaVTLT2z7pZMlfyhObKhwC/nhD02lvCD/Ikqs+WWJ8EGeFocHnw2Bnr37p3ogKqqcrSfI0yHAOHkuTwDfSNYJZBW8rriMYBvV+TaYJ6ZUWTICEGpRuHx9kUGrcs1zWXtrXoEEEDlGfroiHLzcQWDRGBKH+VIqPr06ZMYNmCaEAGwjB6jybCJLlCU1n6ZhncvYIhR5qkCYj7EocxFhEWqCC4gZfqGQvBhhuUS5b6OhFg9IMt1T0+iO0BJIx0ozbnnnjsBJbx+jkfdEDbWL9f4oU0xvPjBSbKWDO9ee+21ZHqdA8Uo4iuQxGBqs/DCCydrgvEWKNOOw8PwylfXvQAm0atnnnkmT7/Ki9Q2BRgZfCg1RIpMh1rba/28xInFY7Mt6nEgTVuTP9Fb4IVsK2tMQDTniZNiSYSfiecoMXqMMSCN39YPv/rqq4ljZSzoR4TJdKvlDyLCe++9d44gGkvGgxkcawJ9SMOYcni1k4wB+sM4cN3TE+cFsPgfHVoPeGuZkWBCa2YbJxwSsmo2AL/pd3peFK80wc9yXj+SW2OGc8uZdU8ReR9FiSKbCeAUA02/+93v8rchpT35NybIfcmLY9sU4PQDm/UalqiRM6mePzTnggxAL/2tvuUt+meDyTTnl4yz2fSw5QqWNO288855Xb4lLcYJjGC5k3qcZnXq9hauMH4AZvfpqmmkrvrg8dxtU4Axqarv1w0Bo7w2A7+qBuQTLoqUIQIoLSEQtbU2DLgRAWiccit3JEjqA1QiOYRYX0W56gd4raoq7zJAKYpAMthVVSXKWf/aAdKOPpzilRI4/VsDaDrF85X7VlWVT71fPunhf9AB/RrJwIGZZJJJ0kUXXZR8WCQxYOo31i3XxgjFy7CVPKBGBEIUj6GzfIKTwvFhoBlDDo2I3ZFHHpnwkVH0MQUlyskRCRKpAm5Mk5e+HQf3PMojDaAA3lTVgLE/ICdlh4GMlQggECmZKuX82pWDzFmPLXJreYrdGoDj0kc5MoScGfyWxzEBfAFW0R3fDADBPpL0YRXZNCsjEqn+oosumsEu4yuayHCKDIrmG1MAFX1D/jng2khVVWX9EOMANVLTrQjxzBKVZ599NgEzlq2gFzkkdwNafv+XzjZrY5aAA2Odpygw/Wo8iPjX25XxwDk1Bjgn+ESuLVdiMzjXxhUniJOLn8C19P2dBzy/Z6vnxXlzCqBTVVWtheyciCs7TY8KJAnyiN4ra63YcKI+OylbpLiqBvRJpskzniozBgS4ROTpEzwlr/o2M2S5lGCV6K+P7si0NcDaCWTpQ6qqAf3rw3VXTQF8uwrnhvI5q6rKH5XVPW+Dmfcn8lO6YRwNXtOk8oAbA94g5/UzYBScssZESYrMiiaIJBEm14wbIGZdGaGiQLV1H30Cx65LYlgBMttuAUlFCTO8wLO+eKKlPiPsXETCsacnQEeUpZEOlpqUCCFlaJra1Bcg0li3XDNs1oECtSXPEU+tB7f2ENDi8fuYQllJ+CsCaRyIMMh3r6qqMrDBL7wz5pSp79o4qqpKVqTBUADN604D+eBciKoW+UBTCTAhdwwnfpEjsu0DRUC1yFj9dgwfQFUMKKOMV+7rXsAu0MTR4cRyckR9GsceQGXsmSIl757DM2kLcGkDPJV7u4fyYpxLfk890tOitPX3x198tkuPBPACO5Ywkdl63XIuUotndubgaIjqATqcGfwTXCh1zRq5rzFQ8hyBXmAb6HZNXt0XH8kt3pFxZZJzfMZj15EGTwGyaSa21EJb6+gFk/AZf9lHgBQQLvXqRzzAI3qXY1MvMxtkdobMyy8yLciFh/IkAJnMcnA4tPJgh8JLdY1B+ZL6+gKqXXfVFMC3q3KujeemeBg6howwqcZrEwkgJCeeeGKipIBg0+G8PHUYLR4nkCTCY5qDMCiz9EHEjzF1LYnYmtr0oYQlDtaTAjjAqoiupRISIbG2z72AaW0lz0DITZ9auytPFJGCthjf+iRgmJeqTDLl4plEEV339DT//PMn4KMOJtCEUhWxwVN8AmhMgQFBIq+cFEBY3ZLw3HIXQKfklaNxwXha3kIpc6JKmSNjbWwwkiUCCYCJ4CvjTOG9db3qU56eC3jzTPIitU0BSxlEZoAPtci4JUuuyTM5N/WI72ZL0BRI9REaw4fe+E52GDTjwtSnKC7gSeYYPTM9eGZMSZwYIMfYsZzJPdQ3VvCZ4+V5JM8iuojP+pOH36JGQFh5fuNCmcTR4gzXZVz+4FJ3LqNHyTL+lPe0LtMMTkmWj+C/6Ds5FHUFeshYaUP30612+iCT1n4rQ2vLJgAd8u9DN3rCThJ1XtLZPlQzg4eH2io3FownOwIYS+6vTALagGpLbFxHGjwF2D3jH3hV0wxd4bGjpQhoblmg7eg4kWTdR2rkWTszOXgB4Jrds6OKOuqyt/hj9sU1XpNtQSb6wT0lwSv4gD5xLXFcrQWGF+jvghGUeWb6xjI41101BfDtqpxr47kpRetjRQNMlagGjPqIzLovU2eUFjBD4QGrIgqmqH3Qoi1hYQi1016UCBDlCVKKBBO4phx98GJKDUhVt6qqBAyLMBFa0RzCQwlTvOpIpkAJpvu6ljy7KTrerqjiPvvsM9CPb3hOirsZONO+pyW8QjNRnfq7W9cLpIjY4SOwYfs63jvlJ2qEp6UNRUoxitTXlSLFx/ChuZkB0X11SrtypHzdRzSh5NmyzDIYxhyvrfU0FpQbl4Avoxy8RJHBJ3QU/ZHUrKoqAZf2VhYR6tWrV16nZ+0tpxBNrb9m0DgXeMg4kkl5jCYgjAfkmexai+1cex+wcY6s96uqKgHA1nn6NgAPjS/bJJkN8DySGR7jiDPmWjLerP+lazjelj/UQa5pXH3SQer39EQX+ijZWt9CCzpTRLYkjosyjg1ZBZLR15pc+fQsvgBFIr5Ab52+6A0cOXKoBDo233xzTVuTHzuhM4ydqhowI4Nv9LkP29gNfPVMpREdZEx6/pIXx7YpAFyK1Ba+kRX0LElEVR5543AAm5wckXhyKnBFL+AxWSWzIv0cEHZbEImtN1Pkmw9Lk/DaOuCqGsBTy9HoFI4TO1KeFuimU8g/uafbS5kgiucxdkpeVzx2ceDbFUnesc9s0IsKUJg8/3K3qqryfouit4AocAsYKaewGEJRHWs8KdSqGiAcyg18ZabBq6pKokU8P0sjRGvdU72SGF6/8kRIASyKUjSqlDsSNt5nVX1/H/lAuakdzwMYyZM8N6XPoLuOlBL+cQ6AH2Cm0MRHiRwIRpEDBPAYD8opPobV0bUkesfpqXv98vHW2lCRXhF/xlZ+Y7LvaGMEwJgAdChWwFc0qLQryljUQ72SH8fmFBA1RV9AkdFTq6qqDH6t+8Rn29pxSqpqgDyRIx+OclYZV2CHMdSWcQWMGELGVR6nxVpwfXGaGLaqGtAXuTOGRPs4LdrW76U9HcL41kGWfHIv4ksX0AnFwBqXopuMtXqRUgJQAFU714igN6OJj43MlpUysg5AcU7k+aAUj4BX46ZRvqqqSkAXRwiQIruNdXyoaI1nVQ3gv36rasBe6gCucUg3yJfoeM8AJLEd8iINngKWlnAm8KBZTWVsYFluCADjraAT+0pXk23jpJ7YWvpcn2ZqRPTJGfvNnlbV9zzl2NDRjTJLJwiS0f2CHoWnbAzdAGxzlt2jq6YAvl2Vc4N5btONPigCiCjBwVTtEkUUq6l0QtgW+OoSL9IBD8kRoPgAIFGBDrhFu3Zp2o0SNgMBbLVr5920M06LHRc4IIzRIK/ZxTKMU1PtZizqAKqLvUaHPK41+XQc3Q1odMhN2rFTINw0O6AMhLdj1926K7Mwxr8dVTimnf1lOdxmAEV7Obid/XmH9HwBfIdEoS5YzmMzTWG9X4mwdMHXaH1k7wDIW7fUmhknmQIUkWUMQGRVfe/N58JO+MfYFHkwK9EJH69TPlJVVXmPa1E9/O6UD/kDHqqqqgQkAUuiVz+gabevKrpu9sWHaFXVNeTZbIRt87o9c9rxBUXZzboJAJQIbTt23yFdWXNs1qaz6qAf8tIBfH8ItbpQXQbFdGSZpuhCjz7Io1IMpm4dBymMjCR6YCkBZdrZyWE8moIDgDv7s3am50M36y6t0e1MzzUsz2KckmfTt8PSvru3sb4T8O0KMiIoYf2/Y3fnS3u/H3tmxoOz0959t3d/VVVlO9PVlzgUugTwLZSIY1AgKNCNKBCvEhQICgQFggJBgUEpEMB3UJpETlAgKBAUCAoEBYICQYGuTYF4+qYUCODblCyRGRQICgQFggJBgaBAUCAo0N0o0Ap8bWZ+4IEHpkhBgxgD3XYMhHyHjosxEGMgxkCMgR49BlqBry+Gd9111xQpaBBjIMZAjIEYAzEGYgx0zzEQfO3pfG0Fvt0tlB3vExQICgQFggJBgaBAUCAoEBSoUyCAb50acd4jKRAvHRQICgQFggJBgaBAz6BAAN+ewed4y6BAUCAoEBQICrRFgcgPCvQYCgTw7TGsjhcNCgQFggJBgaBAUCAo0LMpEMC3Z/O/7bePkqBAUCAoEBQICgQFggLdjAIBfLsZQ+N1ggJBgaBAUKB9KBC9BAWCAt2PAgF8ux9P442CAkGBoEBQICgQFAgKBAWaUCCAbxOitJ0VJUGBoEBQICgQFAgKBAWCAl2VAgF8uyrnuvlz/+Mf/0jnnXdem3sR7rEAABAASURBVG/5+uuvp+uuu65p+ddff53uuOOO9NRTTzUtj8zORYHHH3883X777W0+lLInn3yyafk///nPdOaZZ6bPPvusaXlkdgAFhqHLzz//PF111VXp448/btr6ww8/TDfeeGNTPn733XfpiSeeSHfffXci2007iMxOQ4FXXnklXXbZZW0+z1133ZXuueeepuXGyQknnJA++eSTpuWR2XkoQPdeeuml6Ysvvmj6UO+++2664YYb0pdfftm0fERmBvAdkdQfjvd++OGHU9++fdMKK6wwUKKEPAagedxxx+Wy9dZbL/3tb38bqgH79ttvp0MPPTStvfba6dprr9VVTo8++mj6/e9/n1ZcccUMUL/66quc78/LL7+c9thjj7Tyyiun3/3ud9moyS+JwLz22mvpiCOOyFkffPDBQM/yzjvvpEceeSSdddZZudx1Pmn5o613ueiii9K9996bCGdbxralerf8//TTT6c//OEPmZfojN71F33wwQfTlltumct333339NZbb9WLBzl/4IEH0sYbb5w22GCDTPd6hZtvvjmXrbrqqunYY48dBNiU8rXWWivhSR24vP/+++mbb77J4+PKK6/Mxg6/Sv+l/PTTT0/3339/KtfKKVt8Nv7233//BDhJ3377reIekR566KHUr1+/tNJKK6XDDjss06D+4sDFpptumtZcc810yy23pP/+97/14oHO33jjjbTffvtlmdRn45gplY2d3XbbLW244YbJuJB/22235bFU1y2bb755q+PJScWbk08+OfPwvffeS//+9781zUn5q6++ms4444yEp65zQcsf7YyJW2+9NQPnTz/9NPfRUtQj/6PDKqusMtC7G/NHHnlkIoOOg3MCyQ1HcY011si6l46sd0aX7rXXXpmfdHNj+XPPPZfwFq//+Mc/phdffLG1ObD6n//8Jwcd/vrXv6Z//etfSV6p4BzfyfP111+fy1wrZx8++uijRH/r1xiht+Ur70mJg3fUUUdlWtTfm03ce++9s02lv8lfXZ/W6xoTjz32WNpuu+1yff2hb71OOcfjnXbaKevxerCIDth2223zWFipRceceOKJrTrkzTffzM/3l7/8JfOZbsb70qdyY8VYw2PXpawzHEdqh4eILroABf7+97+nn/70p2nOOefMacYZZ0zPPvtsmmuuubIROuSQQxIQcfbZZ6edd945nXbaaTkCM7hXo4SnnXba7PFRlosuumiuTngAqsUWWyyD14MOOihdccUVuYxAAmPA7G9+85t08cUXZ0AFKKtA2GabbbYMhhZYYIFcPt988yX3Uq7+QgstlJ5//vm04IILJkpy+eWXT8Ce8iWXXDIb5XHGGSf98pe/TN5z++23V9QjEuAA7PzsZz9Lk046aTr88MPT6quvnhg0BAAqtthii5yH12ONNVZaf/31BwGs6krouu666yaJQ4S+IrTKjKk//elPafLJJ08///nP05577pm23nprRTlRqCLvq622Whp77LGT+4rcKQRmXOPlzDPPnMcmg04BKzcO1moBy/rr06dPYggXX3zxDI6Uix7OMccciaGcaqqp0gUXXJCMF8ZSeXdPeEBmOZYcVg7svvvum42Qdwd6XXNI0dR5kSHl9QQoHXjggZlHp556ao6qbrbZZknkrtQDQMgxB2iGGWZI5H3WWWfNxXTFZJNNlvUK/TL99NNncDruuONmpwp/ObHzzDNPjtpqj18ai/KS92uuuSYZC8cff3zWScaOcuBr3nnnTaONNlp+Ps4ygKespyUygJdXX331QK+OJ+QKf+jRjTbaaKDy+gW6A7+AL2enb9++rcWAKb6PN954iW6gNzjQr7Y4JSq99NJLaauttsq6o3///gmfXYvIAz3uT1fL/9WvfpXr4p9yDgwQ5dnwefTRR0/A1J///OeknM0wPu68885kfAjUzD333Ilz5949JeHffffdl0466aRsV8t702ucW/qO3jMGNtlkkwTcljr1I3qLtrKR6EhX6LNeB8/8dDGe65NMTzPNNLkKJxkvRhpppCzXePPb3/42sSvGDdk3BvDbfWafffYkeKGxZ3NPOsn96ZY+ffokPFXeGdJIneEh4hk6lgLAEBDKQAKdEpBK+RnIhIriXHjhhdMYY4yRpptuugTQUrTNnkyUzlQWY2oaeu8WL5TAAD+A7SmnnJImnnji5B5AEcVMkQJfwDXAw3s8+OCDE+EAxvTjXuqb6uLdii4BuuoRIOVAFLBLiDwD4RVx9szK5c0yyyzZwIosUMwHHHCAoh6R0OX8889PDIoIrOUi6EuJIQA6U2oUE15vs802GTwCP8rrCdhh/PBRWmKJJXJknyNh+krCP04OJYjPorrup5+RRx45iQ4us8wyaccdd8xOiLGmzL0pRGCWQha9MP6MTeXGgUiuMeUdRPgB+nXWWUdxWmqppZJygMp4fOGFF5IxBcjnCsP9z/C7If4xMpNMMklijBzxEXgkx6aLySDACTTONNNMiXN4RktEVcS08UmBTNEZdTgo5BoIuvzyyzMIdj+AFDgxEwRM4w9Hmo7A96OPPjrP4uAfY0h/AFD0wCWXXJJvKfrPYWHAC3jFf1FKoEo9Bpv8z90CejTSL55feOGF2RFnQMtMj/KekkRP8Zfc1N8Zj84555wcAJh66qmzTBgb+FSv55yzKdBB/9Kj/fr1S4CNMomjQ47Q233I46ijjpqdTuWcrZ/85Cdp/vnnT//3f/+XFllkkTyjpoysm+HjIOOvpUkTTTRRYhuqqkoCEUC7ceN5OcRkWPS4qqpsb4wDkWBj0HvRYXS5/ntK8r5AJp1Wf2d21cwNHUfG8Bc/yW5jXe1EWckpR3GXXXbJ8k+mlUnK8UmklvNJzwuU4K9y4JZO4KgYJ3gH7Crj1JBBNgMfBbUAa3pe+bLLLptnjwRNLIWgc8gxB1d5Z0gBfDsDFzr4GYABAkU5uZXpEVPHjKbrMcccM3vvpi142JSfum0NVApSXUYI8GGoAC4GkoDyAAFRyrOqqkQhi9ACvYy0yJz7SsoIlOisa9EIa3ddTzjhhGmKKaZIt7VMpWqr3L15xKJJ2sq79dZb8xSpc96mugyuyAPwLPqlrCckAPXXv/5166uKCAIo6ClTRA6PgE1LHM4999w8Fc4wKa8n0YfXXnstifKWfP0bH5Ta0ksvnYwTZb/4xS9yxFU/o4wyiqxkzHGsKFc8MJ6AMIXGIKVpqlS9CSaYIEcY8Us5pa4c+DaW8Bv4dW/lnku5PhlvY+2mm24aaEmMet0xcTgYJTT37t4RoGCQOBBAkulSsx14gf9khWzXjZ92EnlSB69cawN4PvPMM3k2SDsOjf4YXKAaUFV3/PHHT/SA85I4Ksstt1y+9KyMH+PMsPbu3TuZKRDRV8EYxDf8MwPE0SH/xoxyjhowr0x78k+/KOspSUSULHIk0KH+3kAH2REllW8M0JmAo+t6QmM6UR46ihYCNq4lutk4EeXl5BgXInlTTjml4iS4AewIJJA/QJizVFVVolP0Jw+4pgcAHn14fgEKNsd0u2dwL7IPIOucQ0yP013GjHdwzRFS3tMTetbtJvuGziLnVVUNQh6ygsb0KPupAlvgKNGd5I5uFSgRJMJTZRI9a+miaLBZPfZdvoSX9ACQbLyZ7bGUKgc8Wio4uifnyHhSz706Ey8D+LYwqqf9Z1QMXgrIuwNFBriBau2e9UDWcBWQok5JlBgFRkgAUwIGBFlLRIkpFwUiqKUNcATA8DJLXjlSpL169UrFeBIS0y6iDRSniC2Arg9tRCDUpZDdS/RCdKkYbYZYNAmYZ6h5st5L256YACSOhcif92c4ee+ia6Y5AScRXFPJyusJKGHQKNCSz/jiJUNV8srRmBB5BFJLnqNIhaiDMVdVA5S0+07QAnY9A/5Q5KITZdzgpyUMpvM8g7EqOsh467OMA4bXc5o2xW/9Ku/OqaqqBPSaQcEL71qAK75wQAFcDq8yCX8B4lJfXknKyJo28qqqSsAv2eSgWK+pTwYOb4Ety1pEhdSvJ4CY40mG5eMH+aRP9EE2ya97KifX5BtvybNZKI6Q91Mu+ic6aSwYL86NQWU9JaEnp0+klWNQf28ABX3recBIM96UOkCtqK6ARb0/vMVXy9DIpQizKC4eaAvEiDZyZET58ZrdUFZVVV6KQt/SF8YjufcsVVXlyDJb4b74jJfGhHumln+eg1Muj6PjyPmS31Ic/xsoQJeKqKMRGWsozpd0wd4ts7F0KJ4X3alQxFY7jgYemFHh0FhKoZzNsOyJXefMiPqy88rYaLNJIvZsuqVyxiadodzRrE8B6r4NoZs7Ey9H8qCRehYFKKyqqhKQWN4c8HBtnaXlBWUtWCkvR0pLVI6yNbVhWkOEgBBRlOpVVZUIRxqKfzxNypNRVZ3BE4WgMBlKz7XWWmslQq7cMxI0yphRBs4pWOBdOcMINDsngBSxNWWue2KyFMA0FEegvL/oEMUF6FiKUKJvpbzxODS8pDBF6xnKWvt8KqpsrZ8ogelLmcaLsSOCLBoIAIkSmuZTjnfALAAlAgTE4TPjqVyEE2+105fIBd67Vt6dk3dkaERRRE/JiQhLcXK8O56hi/MhJUtY8I/MM2RAlggOGuOD6CHHA2gli5aoKBdVbuybATXdTY6VcWA4p6KF5BVoBapE9JSTY2MDWPIeAK7p7zJeAWLjgN5hOBlboEjbnpKADtPWhSaN740ujXmDu+b8+ugIMLGu01R3qa9MIKIAH3wuZcaUcvoDWLJ0rkQCq6pKZJdNIM/q0ruWQ2jvGellS9bIs3HFaQWIlHN4yS/97pr+d228uI40MAU4BxxG8jJwyfdX+OiD1X322Sf5uMxRUEoNsypmy9h7zojABPttZkE5uisn78YHJxguUEam2WwzAWSWE8MmF91sbADb8pXDCmS+Drz1MyJTAN8RSf0OuDfwASyWBETWbyN6ZgqT4SlRF20AJIqQcFivaZrDutx6W+cMEMXFYJX2lBbPkfFUh1JTx7lEEVZVNRAYJhA8SIDFVHpVDYgEppZ/DDaFaE1gy2WOFlTVwOVAkohFKXeUtAWCvQ+gVFVVbp+64T/R+cJnnj/AUl5TZM+6Xh47WpZ8U5w8e5EAkTvAk1HlDJU65YiPzoEhR8lYQWOGzLWkXOSJAm1mnM0MUKyUo7GljaQfR46TcVdVVaqqSlZOpRyfPWO5VlhVVa4LkHlvyrZerk53SYXHjgwVUCE67sMU69sBTSCUTHIU0IFxImOFBs61U1byyhGYAWKsFwRuLS/AZ2MKyCbLgIj2VVUl5wAKx6n04SgKxUhyaFyXpB39wAFiqD1DVVWlOOsFRhafvaP6pVBd0UMzCZw0gFpeKe9ORw6F95fILEfR7JsIuQiucW62jg6mO63lNtVtOrtOByDFjEg9r36OnvjgGwB0B4KVixD6mJQsuq+jCDCnSjkdAUhZ6mKplHGnvqlt5VVVZZkkq5a7VNV1n+SYAAAQAElEQVSAa2VSVQ24tkzOLFNVDbhWJuEru2RKHA1cV1WlqIunQR/f+5XETg1ao3kO+02HcyLRuarapg/6sdH4ZH0/HW1WTs/6EUxSp6qqBLQCysaO8pKqqkrGkoCGsVfytQN8OcVF91bV98+iHJ4g02yC69K2MxwD+HYGLrTjMzAMpjFKAirq3RMYa7HK1LcyU1uiRaIuVVUlURWAuXjz6pRkAFPKdoSwXks+IQJue/funUGmAQ9cA1/KKUyGkgfomhGW51lEm+RF+uEU8JFf4bPdG0To9ILu+IPmQI28knw8goeUFcXnoyXnpsJKnXK0hoxTYz1YydNeOw6LPGDHeDJ2KE95bSXLU0xjt1Ue+c0pUHjsCOyqJXpiGRDA6+NPIEikFC8ZOxF9Mk3GyKY19sCOdtrXEyAk+sbZ9eGRJRQiraLK6nGORILqRpFz6V7KS7LeXxuOTsmL49BTAADCY4lciujRsRwRPJYsM8NPwFMUjwNk/bx67gQ0Wldr/b3rwSVjgeMoIqeeMSJ4YUkDsGM5A1vgYznl1o8bW4CMZO2nyKA14MojDT0F8LgkS8+GpiVZJtN49ENnPehms6N47l5zzz133hGC3nDNmTKrZtmZ68ZERzTaksY6Xek6gG9X4tZQPKtoiemlkhqBBjAL+IjalO4YsaqqkkXujJsIgi1sGEp1gFRb0QA4VVXlbYcoRtsYERigSZ9ArKPIn6kY4JcRNUUiksTD1R9Fbp2YcrswmGKV7D6hvLun9no/4Kbw2ZoqxkjfIkVAjAgRjxxf0RtvKS8gRhSHIsVTxzIeLIsQnRXlowRF2bS1HEI7HzmZehVdFPHzZbClL8rwEnBSR8SQYsd7RllUCIAW6fGMkYaeAoXHjiK6pSXZEsmxp6f1kaYlReLJs2Ug6I3u5NfsiQgR42Yc7LDDDnnfbU6r/qzxNW769u2b1/cyxuoqK1E944DTaokFcGtqW7lkDJkW5/S6jvTDKSDaiccSOnJc8QkILokTAoSYseHoAr4AjfWYIraiqaK4lgl4AkvJzAyRR2uFRfbNBBkDHBV8U64uR4ZM229ZfeNLmzLmPA/7wfkFvukE48EyFu0jDT0F8Lgk/Kq3xEcBhXqEFZ/IMBnFE7rWsiI2mK62hEEghG1lk30YaG0+5wiv1edIAcDuxUn2TQ47gZdkl8PDpii3PImN8BzKYAKOmbLukAL4dgcu/oB3ADCtmTMVWpoBOCJJPH4AiCIFoqzTUcdHMRReAabAk6UEAA8AZP9G0SfRg6qqkq3TCAmwyzha12UrKkaZ0uSt2jJJVNk0DGMLOIkmuF+kYaeAqW8fE1i7h67oizemuAAivLBPszVaDB0gqk1ReCIKeEHRegpjwP69lLR+8R1vKULTz7YUE/lxHwmfRYk5QMaTqJFx4Xl8uKQf/UYadgqI6FuuIrrKOOEJQ2WqUq+cX4BItA6/yZulQegPNOEth8dHgYyknVBE8C1DYTxNcRcnVX/6IOOmv40ZwJfDA/wql0ShyLd+XEdqHwrQw3RsSWX5EaeEDscPH6qK/KM9OeegkEFPIIAhIoznVVXlLeEsLaPjgR56v/AakLb8AWAyqyPqz1YUEG0cWDpljOifrJPrYQS+Hi9SAwUEHgSOyCb6k01VyDn9it6WjDnnsHA+qqrKu9kIdADA6tPPPkQ0JvRnWYK19GX8mBEQ1NAfXtIH5N659hwa67XZb0srtBXdV9YdUgDf7sDFH/AO9koUNag3qaoqUV6iczx+68kAU8pWPaBIlKBPnz4u83IGebYV4p1aFG/qBNhRwbpAIMl2NRQvgFSmWChd0ys8SVEFyRpRhpXh1D7SsFMACEXTOn3xiMGqqiqvp+RwAKUcGQbTspfCO0aPQSxOCKCEf/jo616GELDCTxFd0Qb3KwkvfcRiDFgPSAEDRSJPotLapvj3oyhAThgtkVz84ljgU71T/BMJFvGx7IUDw/FRB2iyFhdwwQ9rchlagMkHSfpXryR9M5QMK/1gmr1EjkodS12sBy0gquTHsX0pwMkhc/VeLTGzXp+cGQ+CF6UcmCHr5JWjoh79C8xwWut1q6rK+0Jb643PnGCRQfzXn7HCeTLDR3dY+sChqqrv13aqF2nYKWCmBe1FYUVqyabe2GzLWOp6na7lAJNXa+hFZs30VFWVf22NTNO/lqpwfjlK+pK0EZgqvOTUkmFlkkiycULmBS8soZTfXVIA3+7Cya7+HvH8QYGgQFAgKBAUCAoEBTqYAgF8O5jA0X1QICgQFAgKBAWGhgJRJygQFOh4CgTw7Xgaxx2CAkGBoEBQICgQFAgKBAU6AQXaHfj6WMLaEGuIfNlvjUmz9/Q1sX3lrBv0db/1K46u20rWNjWW+WLcwn2L+utl8pvd1/P5WMvaNwu4m9XpPHnxJEGBoEBQICgQFAgKBAWCAu1FgQ4Bvr4s9LGSbVDsL9rsYX2YYeG2j6J8LOEjGx/R2I7FwmpfLfqgwvmJJ56YfJzhoyt1fTjli2b7GtrI24JvH2v4it09ffgBRDe7r0X5Fvjb39Z2Lc3qRF5QICgQFAgKdBIKxGMEBYICQYF2pEC7A19fh9sWxTYajvaZ9HVo/ZlFWu0EYPsd27X4xRpbavnK1D6DRx99dPIFuPbOjznmmGSXAV8W2pUAYPaFqjz7Hfpa2RfKtvmwv6wtOgDj+j3Lua8Z1fHlpKhzyY9jUCAoEBQICgQFggJBgaBA96ZAuwPfOrn8zJ3Nlm1lVM+395z95GyJAygDojZXlupbbpQ2tlPx4wj/2yonAa/yAOFSx9GWLfoDhF03S8rsVdfsPs3qR15QICgQFAgKBAWCAkGBoED3oECHAl/AFvj1ayLW8yKZ9bj2CbTxNqAqTwJEq6rt/QDtIQjUqitZ72t/SuuIS7JuV1mkoEBQICjQvSkQbxcUCAoEBYICw0KBDgW+HsgvfvjAzS+PAL0+LHvttdfS7LPPrniYk7W65557bjrllFNaE4A9zB1Gw6BAUCAoEBQICgQFggJBga5BgWF8yg4Hvn5Vxprc888/PwGrfu3Fr4zUfyVkWJ59ggkmyOt+rf8tyU/zDUtf0SYoEBQICgQFggJBgaBAUKD7U6DDga+fLl1xxRWTHRREZO3a4Lq+bKH7kzneMCgQFBgOFIhbBAWCAkGBoEBQYLAU6BDga69cOzfYZszdZ5llljTPPPOkzTbbLK2xxhpprLHGSpY9KC911StJ26+++io5fvPNNyW79ShPe6k1s+XEul/9adty2eZ/7dVtbN9mgygICgQFggJBgaBAUCAo0OkpEA84JAq0O/AFVm1Vdt1116Wzzz479e/fP9m1YZVVVkkA8EorrZQ+/vjjXGbd72effZYsVbDu18MCw9bt2tf3+eefT8cee2zyYxjKpOOPPz6JHNstwv6+Pmz797//ndzzkksuSc5FleWr35j0ZW2wH7vQ3rGxTlwHBYICQYGgQFAgKBAUCAp0Pwq0O/CtqirZLmzLLbdM9tW1ewOyLbjggsmevECwrcis8z3qqKOSrc6mmWaaVLYmswRi6qmnTvb0Pfnkk9Nkk02WLJfQh2Rt8NZbb53bzTnnnBlUayOK7J7A9uKLL57z1W9M+rI1mh/C8OMZnqexTlwHBboTBeJdggJBgaBAUCAoEBQYQIF2B75Arf14V1tttST5sM2t7J8744wzOk22MVtkkUVyeanjYzWF9uhdbLHFWsusB/ZjFcok9etpiimmyKDZUorGfPUbk77q9aaccsrGKnEdFAgKBAWCAkGBoED3oUC8SVCglQLtDnxbe46ToEBQICgQFAgKBAWCAkGBoEAnokAA307EjHiU4UiBuFVQICgQFAgKBAWCAj2OAgF8exzL44WDAkGBoEBQICiQUtAgKNATKRDAtxtz3S/m+djv/fff79JvefHFF6e33nqrS79DRz68bfkefPDB9PDDD6dvv/22I2/VoX3b5cVuLh16ky7c+eeff57IwptvvtmF3yKlc845J73wwgtd+h06+uGfe+65dMcddyTbbnb0vTqqfzsm3XLLLR3Vfbfo1y/Z2mXK7xx05hd66qmn0vXXX5+GtFVsZ36H+rMF8K1To5uc28v46aefTocffnhab7310njjjZc+/PDDvDXcTDPNlHwQuOeee6ZPPvkkvzGw9OSTT6YddtghTT/99GmOOeZIdtSw1Vyu0PDH4L/iiiuSjxDVt0vGVVddlfddLlX1acs5O3kss8wyackll0wvvvhi8my2pHOP+eefP7300kulST7q+4wzzkj33XdfvvbH7huXX375IHWV9fRkT+qLLrooOwazzTZbssMJ2j/66KNp3XXXTTfffHObJHr99dfTxBNPnNC7WSX9ML4rrLBCsjvLzDPPnE477bSBlJ/tC++88860ySabDMQz/T300ENp6aWXTjPMMEPab7/9EiUvX9K3bQltV+haWmihhZJxeN5553Vpg+9d2jvhFblZeOGFk51t6v2/9957iYydeuqpOZuMvfrqq2mHHXZIU001VfIBb//+/QfiW67Y5A+gtcUWW6T6r2DqzxaUtn9ce+21B2l14YUXJjLqo2bjpV7B+AB0bTdZ8m1tabtL48M4KPlxTNlxvfLKKxPAuMACC+QPt9GFntxmm22y0+C6JE4v3eiD7d/85jdp5ZVXTmS/GV3lcY7xlk2wm9Jhhx2WbCGqP7+s2qdPnzT++OO3ptFHHz3zVrntRTfYYIOknR2UjAn5kjHy2GOPJWPUtcTWqGPc2GZUXqQBFEAvPGUfyYOP7pXgxeqrr95K/6WWWipxeJXVk/acx9133z3Ry2h95JFH5q1i1VPOeSLLNhVYbrnl0j333JPYC+W33XZbssEA+33ZZZfJGihdffXVecvZkmmnLXjg0ksvzb/BUPK76jGAb1fl3GCeG8hlbChB1ShHQJhitNcxg8hYvfzyy4rTBx98kAgNgAJ4UIYixermCg1/9HXWWWelAw88MPEEd9ttt8RrZZxVpWBF7v70pz/lX+zTH+FigIHhM888Mx133HFp3nnnTQC4NiXpp1evXokRLXkMPWVLgVIMJT+OKf39739PgCeAWegBvDA4+FQUXSkrx48++ijhg7FS8hqP9tam6GxLCPDOOuusiSKtg2mzChQiJWuclT6++OKL7HhxigDzRx55JI+VUs6IPvPMM2nTTTctWfm4+eabJ3twc6zaevZcsQf9ARpEesnA//3f/w305njNUbjrrrta8zmPaGtHHHIHrJKdIu+tFRtOgFQOrHvVixhR/OS4No4XumOnnXZKe++9d3ayyXW9LQPqGQHzkj/KKKMkAP6CCy5Ib7zxRsnuPMcR+CQcfkGHvn37tj4F+pu1I49krbWg5QTf6XP0f+CBBxIAtOqqqyay31I80H99cEA4shwhOy4dcMAByRhRkUwC0HR/SbYhpaONKXkTTTRR4rC8++67WfdoJ3G+7r///mTMuS7Js5ihi7+b5gAAEABJREFU4JTV9UMp76lHfDT+55tvvlbnBi3wp0+fPhl0oje7TF6U1RO9y8kYe+yxMz9sC6utIAY6k9O99torO72cHXoWr/FYP7aL5cSoIyhRgmDK1FcPAHct/exnP0t0uTHGtsvryimAb1fmXpNnpyQpQ4Jhr2RVqqrKCpGHJwJEsHh69jRWzqBRlHPNNVeqqioD0llmmSUBx8obEw+UEiUMynirIoLOJdEmPyJCwe677745ilz2S+blEkyRRvcoSlc7gIrxrRtJ+ZLt6gAiQM91pJQoq+233z5HeWwDWGhCUXJyRhtttJI10JERo7zst237wYEKaxe2IGT0KEC8PPjgg5M+ja9SjeIFyNQteY6ejZPjOdynqqoclVb26aefJkYS+CljUH5J7gV8GWMlrycfRXbuvffeJHJTVdVApEAntCdPpQBPybKIIWcWPcmfeqVOs6MxwbHEs3q5WQTO56STTpp+8pOf1IsycKVrevfunSOB9bEBIDHAZp0GatRyQQ+5l8hvy2X8b6GAGZFDDjkkbbTRRgPtXV9VVaatgEBLtYH+AzyTTTZZnlWxTei2226b6F8Ox0AVWy7oBZHatdZaK88QCFjgQ+GBmcCNN9442QdfMnbsrw/8cr4AWOOMDphgggkS56ql2/yf7ga62YKcUfvTr1+/xDkbkuNVa9LtTy0DAS5FUqtqgExb7nDGGWckQQTOolmUaaedNs/iNRKEbiSvZk7JO9qbMRMwIFei7+htVpadFmRyNJMgoCDAhZfa+VGvErQydvCS44X39fsaXwJSwHI9vyueB/AdMte6VA2gUpTOoPajHh6esaI0CQiBE5UxhULRKadwRQgZONcGPIEATlw3JoaRIRT9I0DW/iy66KKJ8RPt5amKCJx//vkJ+CZ81qA29uOaMnakREWPCRwBlVdPDPd0002Xdtlll3p2jz5Hd0qSI/NDCEHB4o8fgKmqAUq3WXvOTBlDyhk7YwSocv1DkrFnHGrD0JpONQNQVYPen/G0ppujo35PT2ZXyCRZqtOCzHBCRe7Qt5ShM4dEmTHC+dx1112TaF2p03g0HgAbS5LqTlRjvSFdF0cG/8i8Z2vWn/cBuvyQ0JD67Cnl9K1o2/LLLz/UryyQgJalAb5zeG699daS1Xocc8wxk/KSYfaA/qW75XFQ6VnnEvC08MILp2YOkzFW9PTll1+uel4iRz/ki9of/RqfN910Uy23Z59yBPCDTi2U4EAKItx44435x784MXR1Ka8fOSKi7IXeeME+AtMCG/qwnIWe1Y6zwnEVsVUur57IKAzAZosE1/V+vR5niF4Gjuv5Xe08gG9X49gQnpc3B0DyzqpqYFDx7LPPpjXXXDNPbZnSLF6euiKtQKz2BEO0jlJMTf5RZKZKCC5P0rQ5BUkIAd9rr702EbKjjjoqT7kxuKILpjWt6wXKRW5N9Vi3Jipk/ZFpMsZcZFq/vNf67UU2CJ371fN76jkjCZwyKkNLA2BIlNDSiLqRG5r2lCYjKYI4pPp4LlIkwnDbbbflnxLnaFkDit8iFZwYUUwRLuOt9MmQSyIRxlPJ76lHS1mAFPJVaGCJwQ033JCsD2yL/5Yq7bjjjnntNXAiSlTa14/kHVAiX2S7Xvb9efMz68r/n737gLOrqP4APhdRFFtQQUCRIKIIgiBY6IlUQXqXFjoKYqiCtIQivQrSISgdRWmCIBB6kT9NUFRKABsgErEr6n+/E2a9+/J2s0k22ff2nXwye9+dmTv3vnPmnPM7Z86dpwA17gG0iTh5ZvWWdDnZnCxL+NrKSBwcOgjoLnWdfARa8BKI6S8dACW6Ex3pbkEMkT6BjimNwR64HtBp7ItPxhVx1EbXA9SuUU8Pc4BF9aUxrbfeeumUU05JeG7FzjO4rhQgzMqiSGap6+QjXQpc1mVaQEnEnw2UhiaiK6IvmNVIK7obWMUH8st+A8LmT1VV+X0bTqg+rq2qKkeOy1jS16TVSIlcYoklEtkHZqVeGEPkn272PEB2ev0fIF1VVeLUvl7VlocAvm3Jtt4fmvIDMAGixl6UHFB8+umn52VnOUL6qAeI1Uu2l35gyRKY1d5Y5PuJHBMO+UEM8JFHHpm8HCHVggK3TCNCxWCPGjUqUZjADUEXfXI9cCs/jdH94Ac/mF/C8+KFnMSxY8fmHFEKuNy/GGXjlLpOPkpPKYapP3SgHIEPyk3Evj/XlD5SF/CQIix1Uzp+5StfSQwwECR6gZeiWuaDpViAxxK+aMTZZ5/d/eIFw8/QUuTm85TuM9TbH3744TTffPN1f018RFMgg3x1NzR8AGg4HZxUESDObjN6Ai+MJ3DaMES/TukRwAu4Ic9AMOMpOuScs3veeecljmwdEJkbeC13tV83GuKd0AENp+Zr7rbbbslyuTxrYEnETrSdg9rXOMAMPW3Vrlk/sldVVX4RurTL18VT93Ff0Uryy7kSHebUcqq9bDVmzJgeL0GxR+yD+5bxOvlopY7j1xsNBCb222+/DDCbOQuuFTCQjnjCCSdk2RJkEFAQNOht3FJPH9MFxqZ7AWjnrpfSBiBznOkNAZZynRUD0X5OTKlrx+MMAL7tSIbOeWbA0xuegC7g4ZvzPPfYY4/8FrhoLPAK3AKg2hsLjxRYHTFiRCJAcn54p0B1VVVJBJlAleuMz0Mt0Tt5QnacoKwBYIAIUAZogTkvUQHCckEp5zJOHKePAqIMojKcG7yVH4xPHB7L6b2NzljhgxwykYHe+jXWU5Ii/SL/DCbjaKcJihOItioA+DCU5pRoVeMYcT45Bax4cDSPO+64vHOHFwI5u5waL4fWryB7cmylG5F3xq3e7vOuu+6aX04FlM0LMsjxZVD7wxMpC8ccc0yiB0Sigds11lgjv2FuLMAXoMN3Bt89owwMBcgOp8JLacAQOZJC1NeqDP1OVwt4SGlr9iRWWwAoKzelnV6XI0xfSImhuwVHpELgKweWM2PFDt/N03JtHKeOAhxH7+GgJ341Xo3WnBarZnQyXllJswIk0ssZEqyw4uJaet6KD36SQ4EP8kpu9ee0cJas8l599dVJNN+4AhAi/MYYSiWA71DiZtd3MalNboaw67Tpf31McBGj0oFh4mXy6kXjRAUtVZf2+lEuECEinFVVZSERkRIlAKxdRykSPNfxHinjErFVp0yYMCF549/LU4SvRK8sxwPDrrO0oq8CjDuWfj53crEUBaD0lwZ4ZPsw4EaxLI2HnA7ORm/jWBIT3XF9VfVMn+ntmno9pUuxel78dE/bJOEzpU45c4wob9cBZ/hP6ZtP6tquDOADk1OApgzJGNnGyBZy+MjYASUcSsay9CtHNER3zmRZ+ixtjqJzX/rSl5KxFNE5TokXSjkm+vSnyEeU7rDjjjvmlyA9E17LXRSlFlXmDJWx8Biv3a/UdfIRf6YlkmbVh96uqipZfRP1pc97o6U0M7yhk/GnsR+Z5KTKGS0y2djHyg3wBTxr42DhJ51N75tn2rUpdDeArN55pxdpDVPitQg5O9wbD9DcS4iCWFZz8FNQi7xLS8EHwSS0JoOcGU5onQccW7suGaPIoeCXoBN+0t10hzEUOlsAC8Zw3q4lgG+7cq6X5wZqCQuhYWx04wlKL/CGPhDj5SJGSlqBdhNcnpY3SgkMo6d/UVyWOkQG5ADpDwDx5kUaePq2USFsog+OIlDyheUniewBt7ZC4UG6XvFM8ot4nUWwCfI222yTjEeByz2qCx0wDQQQTGN0eqHEKCG0rNMCwMAXio8TYwlVO75RjKJByoiuiL35AvSKyOqzySabJHOAgqMsLXsBy4rt6SxrivoUx8rcMT/w2dwS8TNOvVhK1899qqpKjK2IAqUs8sQQixJxflzHSLo3g+751HVykTOJHuiCDpxW/CtFdBUYJn8Kx1SU11ZI+CKCw8AZx/XaOTsid4BnGaccGUARIcCXbAJC9IU5JbcPP41nrFI4L1IZ6BTPp55zIxLpZVsOmmeU561N8WLW8OHDE8DnvNMLxxAgRes6LdAfrcgLB9LqS2kXgJBaQo+K0NtNh5yVdvLKaS3zx7K2fo5W3LTjUX1M+oMsk9EyTv1oHki/Abroe21kFaCiC9gFcwnQ1aZYBeCUcXCdd3qxAlPAJVrQj9IGpS+QFVFW6UP0NeeTPrYqq11ftl16AhtqJY6cit4KFhiPTOGBl+jYYulI5heboV0Bar1nY8w6kOVQewZ2mCNTvwZ4ZnPYDmNMqbRqewDfVuXMND4XUMEQEirKzjAUEMDI4I0bNy5Rll4qKwBSpFZulqVQOz7ICaSAXauIHkiGB5ycl6VNhphxpdQoUMKmnVGlgClwy9yAOGHybNoVStwLEUVQ1SkAljrPKs9XneJeFC7w7jxKShQSwAqI1OkB8Mrt1E652WWj3l4+o7M8bctipY6iBX4pW1FGb/oDQoBNKfLAylzAY3lg5hzjyWCWscoRGBZdNmapsyogumh/YNEGUf/SZj5atmUoS10nH8kJ2SGfzegAaKJfib45lz9PXjizrj3ooINyvrXrORhoz5mtqskj+Hhl2VNfhaEzxxhBIEmOJyCmrRSONh1Td261SXUBxl0v3xdf1QNXxpDv7TxKytvVLbXUUskPu9Tpgf4CASJ6nAmpSqWdnNPddC/dTq5Km6NzgQiglANMV5PdIsuO5LmuA9gNwKzwyjj1gpcCFOZRqfdsHGLPaeVQfn9pEyQxd9odLJXvMxBHMoYmJWiBP4JDVkWlneGVffhL4IcMC0jQsz6z73JwAVHBCSls9Hl5NjpAChP7wBZ73wawFlwqffCFjtWn1DlKR1OAb6kUAmHqFTbBfLG65LxdSwDfduVcL89dVZP24SVAZSmFgmKwgFpRHrl8ogBlCBPb5tYiABRvqS9H0R/AtihHUTjGzBKpjfEZVcKj3jWOhIMHqt1uDY2ePqNL6PSvFyCdsBFSyrS0yU8VgZBbVuo6/cg5Eb2xzFWPwHFUOA1orwAfzWjFsFGYInul3dzgFFHElJs5Y4x64cSU/oBOvQ1wLm3liP+TlHKpSQkIFpGglDlVIhal1YqEiGV9jpa2TjyKkjJ6omwitI00IDNkkKOjjdGTuoAvcoGlQgBM2hSyCJhwSEvETn0pe+65Z/4lvnJOnvHVeArgRf5LuyPDSj7x1XkpnkWkii7w8ly5H9DLCJsDpW+nH62w0X2icJzXQg/0twKH9gqZKW0cHnWAKHku9eUIYNnOjg0QlTUf9K8XL1GV/o4cXQ6xz82KqL4+9TbPaP7RR977wPfSLtpoPAGTUtfpR9FX9k8utIg+uaBvpR3gjb2W2fBCJ/qRHAsSAL7a2F8pT3X9Xfo7SivaeeedE5sPBDfyTJRXkMp4+tcL4CtoJZrs2bRxkjg95hMdoq5dyyzt+uDx3L1TQA4s4CDSV1egvV/R2i28YpFFuYMUQGs/7cx9OsaGcpLXZ/lr5t594O9mKzxOEaBVFO7A36W9RrWo4VIAABAASURBVARaGD2pPiJ27fX0kz+tVQjLr5zxsuo0ea/OrJGmwPHkXFjSbncqWDIXYRbZB47b/fsMyPN3DcJZtbImzYtt66pq6f8cbqt5ovbNgmMt/fBNHi6AbxOitHtVVVU5b66kDbT79+Hd8oAp0Hb/LgP9/MAhAOEnKRujbQN9r5kxnmVSS3zNohAz4/6teg/RbxGeoRA147yKVIp6VdXkqRatyoOZ8VxVVSU7JcjZ5fDMjHvOyHtYVQB6h4JuGmg6sWfSFEReB3rsgR6P0yL9RaqFzwM9/sweL4DvzKZ43C8o0JMCcRYUCAoEBYICQYGgwEyiQADfmUTouE1QICgQFAgKBAWCAs0oEHVBgZlHgQC+M4/WcaegQFAgKBAUCAoEBYICQYFBpEAA30Ekfty6dwpES1AgKBAUCAoEBYICQYGBpkA38LVvnM2nozyYggZBg5gDMQdiDsQcGOQ5ELbowZiDMQcHfg50A19v6nnzMsob8x6jQYegQ8yBmAMxB2IOxByIORBzYGjNgW7g60cKbC8TZbH8CzotSYfF4tmCLzEHYg7EHIg5EHMg5kDMgWmdA93Ad6BzKGK8oEBQICgQFAgKDDQFYrygQFAgKDA9FAjgOz3Ui2uDAkGBoEBQICgQFAgKBAXahgJDAPi2Da3jQYMCQYGgQFAgKBAUCAoEBQaRAgF8B5H4ceugQFAgKDAgFIhBggJBgaBAUKBfFAjg2y8yRaegQFAgKBAUCAoEBYICQYFWpUB/nyuAb38pFf2CAkGBoEBQICgQFAgKBAXamgIBfNuaffHwQYGgQO8UiJagQFAgKBAUCAr0pEAA3570iLOgQFAgKBAUCAoEBYICQ4MC8S0mo0AA38lIMnQr/vznP6fnn38+PfPMM+nll19O//nPf7q/7L///e9c9/TTT6fnnnsu/eUvf0n//e9/u9sbP/z9739Pv/rVr5L+v/71r5Pz0se16uvl2WefTf/4xz9yF/f6/e9/n59Dnz/+8Y897vWvf/0rPfHEE2mZZZbJ/V977bXJ2m+66aY0atSo3K5//tD1R1/3/+pXv5rGjRuX3Evpauqo/2iA5ug7YcKE9Oqrr3Z/f3z961//ml566aUedO3uUPtgjhRe4XPhYa1L5qs+zdr0M9c8h+JZjKkerzzL6aefnvbZZ5/JeFXa99hjj3Teeeelcu5aY+Crubz44ovnea1dW6cUPCTP6Pqb3/wm/fOf/+zXV//Tn/6UZZf8NtLMuXlh7vzhD3/I84N8uUe94CN90q8bRqd+UwAPyZl5/cILL2SZqF+M5niunVyRg3p7/TP5IJf4hp+NepbONm+0/+53v0v4XL++fNbvt7/9bdbXPqs3tnvvsMMO6cwzz8y2RJ02xTzyfKusskp66KGH8vfQX5viXjfffHPW4eqdq++UQu+RQ7YW/V955ZUsa/Xvjyb497e//a1e3fTzxIkTEx5PmDAhGQtN6x2dq3dP9663+Yxf7kWnOC/FddrMty222CI99dRTPfQMnis/+tGP0tZbb53oDP3L9T6735577pnOPvvsHjq89BmMYwDfwaD6INyTMj322GPTkUcemb72ta+l0aNHp/vuuy8/icl5yy23pKOPPjoddthhaffdd8+fKcPcoeEPEHXBBRekgw8+OB1++OHpgAMOSN/+9rcTpWySX3rppWmttdZKm266aS7rrLNO2mCDDTJINtSPf/zjNGbMmHTooYemgw46KI/x+OOPa8oA7dRTT00///nP07vf/e58DYEheDpQEmeccUY23O9617vSPffck0ERodZ+zjnnpGuuuSYr2qqq0rnnnpuuvfZaTR1TGM/vfOc7iaLCg+233z7ddddd5ftnB+eiiy5KX/ziF9OUlOq9996bTj755LTLLrukddddN5100knd4/iA57fddlvadddds4FTVy/a999//zwPPIu5xXhS6ldccUX6/ve/n6qqSrPMMku67LLL0o033pj8M8c84+23355mnXXWRCEDvz/72c80J0e8Zly1c5Sc65c7DPE/DMxZZ52VZZDMksHLL788OyG9fXVyDmyQuzFjxqRvfOMbiSEs/Rk+skautTNm+IQHq622WjcPN9poo/S5z30u3XnnneXSOA4ABcjiD3/4w6wbgQjycscdd3SPDKQed9xxWYfj91e+8pWs/7o71D4AI7feemvW53Q0fjr+8pe/zL3wnc5WZ/6Q7yuvvLJHAENHevmoo47Kz3TIIYekCV3ASv3VV1+dfvCDH2QQNGzYsCy75pb7aieLdEdVVVm+nf/f//2fpkSX0+EAPB2uHz1ddHjuNMT/oCN7jP577bVX4tw/8MAD2YHw1cnd/fffnzgW9TmgrbE8+eSTSaBn1KhR6bOf/Wyi7xtl8xe/+EXCv/PPPz+Dz/oYAhZ4Yw6Q+XrbY489lk455ZRsb9/ylrekn/zkJ+n444/PgTH94Aa8o9Pf8IY3JHMOr7WZYxdffHFiH7TpQ4f/9Kc/1TyoJYDvoJJ/5twcEBo3blwGpsccc0z20Oecc84MgAETClX7CiuskEEkAQGKAY9mTwhkACi8OBP5y1/+cjaCxgF8eYkErJT99tsvjRw5Mr3vfe/Lgu1eCy20UGK4CQ2huOGGG7pvZRzG9k1velOiIJ/tihaXxqqqMuihJEQ1KW8goKqq3KWqqkQBv/jiiwnApgCqalJb7tABf0SKGJETTzwx4cE3v/nNtNJKK3V/c0ARjyZOnJjwq7uh4YMIkUgPhSqqA+yYPw3d0tve9rbknsXo1duBWcrYcyinnXZamn322XMXQIxTIuqBx3juuXJj1x/P53pglgJ++OGHu5+3qqrsHAH4c889d3ZugOCuyzriP6PI6RvTBWDJ4DbbbJOsgqBZMwKg9bguHQDYLr300tnpZHTnmGOO3J3McXxFdBhODs4mm2ySyCAnw7X4p3CERNmXWGKJfG38GRgKkANAEE/J23ve8548r41Oh3/rW9/KgQEySC+a9wAwHa5PvdCJ5oVVM0dODjmiD/W7++670/jx4xPwjKcCEwANYKNd0cccEYDYe++9s91YeOGFNWVH9Prrr89H8wO4qcs/x1X7W9/61sQhM25VTdLDVTVJh9PPnunCCy/MkcI88Ez7M7g3EjgCBE844YSso9EJ/enR8mRvfvObE/1bp2tpqx8FegSX8JhsirBzZurzgo3lWOFL/Vqfq6pKQK02z6SulKqqEtAsSAGMA8b61dthBQDY+HSQfqWdDcF/fOZE0eF1HV/6zezjLDP7hnG/mU8BS5eU2Ic//OEMUt7xjnfkiA0jR2mJojp+6EMfyt45o6bw6ps9LUEUQebRaQd8KGxGUuROpPEzn/lM+tjHPpYWXXTR7B0Cum9/+9t1z8qSgBOQ2WabLUd2S5tnW3755XMfESjG4FOf+lSaZ5558rULLLBA8mwUO7Ck8tOf/nQSdfB51VVXTUA94MsTdn+GXlunFJEb6QPf/e53M8j8yEc+ko/l+6MVGgHApa7ZEV8///nPpwUXXDANHz48feADH0h4k2r/9MEbSrpWnT/i35guYMa5AdQ4PvPNN19ue+Mb35g++clP5jE5UvpqX3LJJXO7eaBdP/MUvz/60Y/mZ9Hh/e9/f75e9IAipeQ9m/mkfagXMihixqBUVZUYTgCFgWv23dFfdN0Ky8Ybb5zmnXfehLb6kkPgA7gSnScv73znOzXlAlSjLXlWOFXzzz9/mmuuuXJ7/BkYCizQpdsAVXLgM/oWoEk+rNrQo2SOfHBEJ0yYkMhAsycwR4qOJOuuUzi7gAqwAzy7VtCDQ/rggw86TRwhkT6rPFaG3Ff/3Nj1Z6mllkp0Nj1LfrXTtWX+cbTJJSBlzE984hPdskuXfPzjH89g1/N3DZfo8OKEOR/qRVDpgx/8YLbHw4YNS1tttVUSzGHvfHeySa/2R59tt912eYWVbFpp3WmnnXLaQx2gmlP4ZezGwm7TB3RIYxteseXSohT8lb5S+rLFeGkOcrrVr7zyynkY96NLjF90uPkMZ+QOg/gngO8gEn9m3ZpB440xcOWewAwlSJlqB2IpSu0mtwnKS3feWCg4YNQyjOUuUbv11lsvERJ9KVBHRaQJABXxraoqL2lbxrvkkktyOgVwTTkyrqnrH4Bj2YZwEKgvfOELSYSD8uxqTpZSStQKKGPsv/71r+flM+2iz+5HWEeNGpUstYheaeurDKW29773vWnZZZdNgC+DgtaFt1PzPc0DipfRRcPvfe97mWf9HYO3bxmvqqq8FEe5c3hcb3lNhFG0QIQRyKX4rQJo51hZ1mUALK0ztKK/ZWXA8p9nEonSn9K3UlFX9uqHajG/yYiorIiP6B2HU5Sw8TsDxyK2nFI0IqeATomw44kII36RY87JbrvtlvOmjcWAOSrAzHXXXZfc13jqogwMBQAENAUiOIxoveaaa+bB6ehGHQ444U2J4uaOr//h2HJwRIaltnF69KczdSEndAIQ7Bzo5Mw88sgjTpOUC8EQABmo5TxbwvYMOlhFAnTYAUDLnBCRpu+1u6e5CNRJldBfH23mqvkGFHkeOlxkWQqE9k4odCpaFfqjFX3bW3phXzSpO6nmDycHbYHZvq7rTxv+s690MEBrjtLX5o/rrRZYURg9enQSmIAjpG1o4zyJYvterqfDRY6LDtdnsEoA38Gi/Ey8L8Gg1Ew4HjoATKmZpCILhA7AsVwFkJjUvHgRh2aPKdoAYALAO++8c14KYUwp6sb+lDgh117agDI5oQCzdAlRDgKrXeSYQbY8Lu/IEg6FCRhpB6AtoVHilsos6QC3vod2Bt5yumVv3wWwp4S1dUrZbLPN8vIZfnIcGNHenJj+0MRcwBP5gegNKPXnOs4Vhcg5EoVmKEUcXWu+yXEzB8qzSVsBlLWLUADBwDGQK/px1VVXpbXXXltzzmWTbmO+iBptuOGGyT3M9dxhiP8BFjiIovBk0ZIoGhVDWv/6gC9wxJFEU3K1yCKL5PxPsklGyN/666+fHUt0VCcKTIbqY3EqzQeORr0+Pg8cBeg7ANS8ByyMbF7ToQBp0eH4QFfThfo0FqAZSCEnggf6cST1w39Lz8ZwbvXgueeeyysB5hDd4X5ADEAqJcKyvLmjP6AK1Ggjf3SyeQh0abe8veOOO2bnSR0AZX5pGzFiRGKLOG50+NixY3OOcNHh+gz1IgJOxsgtGRMRdeTITM9357ziK50/PeOUa1dfffVktZj9tWr0pS99Kb8vAgPoYzXAPPXs5qV5IZqtDfDm4Jh7+sATHDA2XftglgC+g0n9GXBvE3DbbbdNpcj54XWLqPIwLYsAEyKtbr/iiism3vwuu+ySo6PaLU2LsFrS0KexEC4TWcRXFIDSBGiaeauEYI011si5gmUcYwM+ACohYMCBIxEIfQgIpVuEl5HnaWpTtBNEQlfOHRWRDtELUWXLbaLavr+2oVZEPAuf7YogZaX+HSmeI444Ii222GIhdB5qAAAQAElEQVSJIa23Tc1ny9wcCgqM4uK1T831DJ8IIycHeC3XcrgALsupXuShTOuKX7toAT673jxw7nrLrsCAlAcA2pwAgo2nfSiVwmNHL6f6bgArcEJ2zAM50AAE2dReL6KFHEHGFo3QlQMB9ABOjhyNJZZYIr9IaL6MHDkyv8gCNNfHojdEe5ulttT7xedppwBZBnjJBEeFfjXX6TTBBfNAFJUsOafnGu9Gl1odIxfGIj9eWqS3q6pKQLHABb1tDnFA3UcE11jyOoFj0V7nXm70DAImzsmqZW2A2Fyhz7VrU8iqeeaegi6lvzbFc4lKku2qqjoubQbdrW6yu17m5ghYaVHQZ1qKgBZwyuGQ1jgtYzReQ87xUUoM/Y1vdEXph690Nt0imFX0S2k3D+hsfDZPy3lpH6xjAN/BovwMum9VVckkLYUyAgYoPiCUkFkCkxNJQIBECgyIBWgApSW6DCAh2nrrrZs+pQgdz9/SBY8QIBIF5GnWLxBRtsMDYFPqKWoRWmDbMrz7UfCWa/Uv/TwXZVvOG48Aj+XexnrngBZgPHz4cKdDtqBR4TPl5Hs3flnAnwGrqkkvljS29/ecguOkMHIit/29rt7PUhgDWa/zWb0553Ozgs+9RYM4NUDcm9/85maXDom6wmNH39eXEsGVv8ng4As5In8icNrrxbyQflT4VlVVzgnmPOgnakwfAMHO6Qv8rqoq5/yrU4Bgjg/g5TzKjKOA6L2VG7qZ44Inyy23XBKFFzCgM73cK1BBDzQ+ieibYIL5wZGxk4dIq3QlfckTh0mQQ6RWYEHfIocAGGBWUhu00yVVVbm8uwicGKu7ovbB/GIfAKNadfdHAIpsV1XPMbs7DOEP7DFeeiFNChiHQoBIVH5avjZHh/OLb1ZUp2WMvq7BQ7w2H5v1K/ela5q14/O0frdm401vXQDf6aVgi11PQYkKlSLP1SPyukxeyot3bzkL8NWmuI4CraoqUazARFGCFK98Hbm4+ooqA7oUr3NRVp5gOVenWLLbfPPNUyMo8bIdIwwEawN8jE14XRelfxQQxS98FrUBYDgshVfoKwKItgBrfVRt+jrW6/FG5N78wHfnjJ9+gI9rKO36NdqsJij1elFGL0Lhq+ss53Va2kmdHtP6ufDYUeTEOHhCBh2BIqCY/JJBvCNfeIc3jJXUIUuWwExp53gC0iL6gK+VGLzCd04ox9a17qe4Hu+BaOedUmbW98Q7MoP++MYRESCQMuQZig6nx+lW8ia/Vpv+VgHw17k258bQRu8LBKjXbs7gLQdHIINDIy2JHq+qKlntk6bGudLf/NAXOHYeZfoogP7oyTmwUsP+SiPA4zIyvpFV9rbUOTr3ohm97hxP7ZZA11rlI7vkn77WrhjHePSw82aF7BtL32btQ6kugO9Q4mYv34UitcQl2muJxYtDlspEFVxC2fI+bX9lmc0ymGWLEp0TSfISAsOnv9wsQqu/bVlEDYxl6Uq7QjgpZ5Fk56VUVZVEAeSAefHC7gPyv0SFGeHSL47TRgFvBeOVNBG5ml5sE1HgkZcR7ZEsGmTbG0upAGlps8+uSBOlabnTZ1smyb/FZ+eWrEp/4MrcEW0Q3aeAS5uX09zbiy0MK+MZ0cJCnek7ckrJtTxLaSiWs+XdWr5WL5pnGRrwAVQ5uaKAVmf0JctehrM0aSnaMmaRSe1k3wspJSeUQaRD+lqFmb5vFFfL3yUvUne8mGr5e999982EwVNRfjr8wAMPzD8yRIeLmuqAz/qK7DoXjOCkCGLQs14IJu8lz1aEUf4l0EWuRR7rkUKBD5Fi84uONzfsmCNIYfwo00cBwScyKhBg+R+NOa5lVOBVH7ZamxXR0oaPnFX7H3N88U/KBH6Sc8W5+VKuMbc4trYjM16pL0ersOyC7SHla5f6oXoM4DvVnG2/C3hwvD3pASLAlkVFB8s30c442pqEYbR85ry0M4yS1i2ZqwOiACtLH65lbAEm3qb2Utyr5IiVuqqqkheu9AeeRR0oe2+T173d0j+OU0cBPPYCmkgRHnIoGLD6KKINjCKjBvjgYWnn8AC6gI8IET653lje6hVlLn3L0VwSjSz5gaWeArYky6ExNxhT45b2OE47BeTwkUlRWaOIxAG6aA2sAjh4iW9VVeWt3zgieKmdzOGnuSDatOWWWyb7bYsM4qflb0djl8Ihrju3pT6OA0MBEXjyBcyKBNKTdZkip+RbH2/a08vlzvgsyICv6qyk0b/4aCxRYi8il5UfYwFa9C5HhyPlulKsINgBRDvb4TpjG6v0ieO0U4DcWfons2wpXjSOZncegSqpTHhQ2q0ACDoVe0yHixZLlSjFy771uWM+CDqYI83srPlB/uloz1buNVSPAXyHKmdr3wvYEKXzUgrl2qi85IeK7ogUAju1S/NHgsXoUYYqCAajyLhSrsAVhaxeu+KeDKvPjYWSBpopUtcz2oxvY784n3oKoLu9HCk5PBOJbxyFM6K9FBH80kckQWRHrhYQhLf6yQsHmuo8do3IkvZS6gaUYsdjRX4iJ8c1UaafAowX+uILGSK75LOqqrxloB0c0LzIlf74LsqLH5xcADi9/o9McoaAKjxvnDfmA93BQOZL4s+AUwDg5SgWfuIvvrkRPuIPHS5fslGHaxexLY6Qa8jviBEj8ovO+G6P7MJzoAmwZhd64yngZS6Qbf1CflF1YAodTXab6VR3wBP2Fe0VfFCv0LnapKWYB8bRp17UcYL1V9iCeru6eqm3Ac/1tqH4OYDvUORqfKegQFAgKBAUCAoEBYICQYHJKDBQwHeygaMiKBAUCAoEBYICQYGgQFAgKNBKFAjg20rciGcJCgQF2pgC8ehBgaBAUCAo0OoUGHDga0sMe7zKU/IChrcImxHBW+PyVuQX+uUuP3coh8l5b8UG/Y1t3ja3hYttfupt9qxtdl+J/HKkvAHtrVjbPTXrF3VBgaBAUCAoEBQICgQFggJTQYE26DrgwFcyvgR7L7nYPscb4rZiqdPCG6UA8QMPPJBs22ELDW8gSqoGmp988sm8j6AXLHx+9NFHEyBtbNsmefMQwLZdkxc1vHxlWywvaNnb8pRTTkmS+ev39NnWTgCxFzj8wIE3Y735bCztUYICQYGgQFAgKBAUCAoEBYYuBQYc+NZJ5U1j+wUCqPV6+8aqB469LextVhsr20DbL43V+/rsjWPA15uO3ir3tqK6xi1AvLXsrVVvw7qusdgvD+AWHba3oT1J7WcKLDf2jfOgQFBgQCgQgwQFggJBgaBAUKBlKDBDga/IrO06RHSlI/jWor0ivcAuIKpO0a+v7VJslyWyq++0lvrm67Z9kvJgaxD7yU7rmHFdUCAoEBQICgQFggJBgd4pEC2tRIEZCnxFZf3KDKBbftFJbq+fQrTBvujstBJDCoS9YEV5S/ErKFMz3iOPPJL80o39DqfmuugbFAgKBAWCAkGBoEBQICjQfhSYocAXOWyqLZp71VVXJb9FLvLrN6VtoK59WosX2W6//fb0y1/+srvI2e3PeKLOfp7PBt02DO/PNdEnKDCQFIixggJBgaBAUCAoEBSY+RSY4cBXXi5wKbcWSL3ggguSn+CTajDzv25KQO/vf//79Jvf/Cb5OcfBeIa4Z1AgKBAUCAoEBTqcAvH1gwKDQoEZDny9jOZnE+X0Snv485//nLzUNijftuumti8T7fUMQHlXVfwPCgQFggJBgaBAUCAoEBToAArMEOBr+7Lf/va3SR4uGs4777zJb1M/+OCD6Utf+lKS2yvl4fHHH0+vvfZajr7qV4po7LPPPpvrAdVS7/if//wnTZw4Mbne7hDqSnE/u0M888wzparH8Xe/+13aa6+9ki3TvHB39tlnp+OPPz5dfvnlPfrFySBRIG4bFAgKBAWCAkGBoEBQYAZSYMCBr4iubcnslwtU2i9X1NePVdgz9wMf+ED6xS9+keyl+6tf/SqDYNue3XLLLflrArXafvKTn6R//OMf6dOf/nS66aabcps/cnuvuOKKZE9f140bNy6D4O233z75MQvboe24447JD2LoXwqgvN1226Uf/vCH6dhjj01jx47N5ZxzzkmLLLJI6RbHoEBQICgQFAgKDBoF4sZBgaDAjKXAgANfOyR885vfTECt8uMf/zh/g+HDhyc/ZuHEL7pdc8013X1Egj/72c9qSsOGDctA17XKE088kVZdddXc5o+6erG/r23Ozj333O7xtG+99da6dxd97NmrrV7sJ+xX3Lo7xoegQFAgKBAUCAoEBYICQYEhSYEBB75DkkqD+qXi5kGBoEBQICgQFAgKBAWCAgNBgQC+A0HFGCMoEBQICgQFZhwFYuSgQFAgKDBAFAjgO0CEjGGCAkGBoEBQICgQFAgKBAVamwLtCnxbm6ot8nR2uHjqqafS3//+9xZ5oml7jAkTJiS/+DdtVw/9q8re1HY58bldv7FdV1588cV2ffwZ/tx2wGkHWXj11VfT888/n/7973/PcJoM1RvYzeiFF15oaxp6odzuTkOVRwPxvdjop59+uu3tm520bGwwEDSZGWME8J0ZVB6Ee1CctmkjWLaAs8XcrbfemvbYY4+09957J7toqCuPpv+FF16Ydtlll9x+8803p3p76dd4NLbdNK6//vrGpnzu5cYjjzwyHXTQQXl7OpV+wvqrX/1qOuqoo/Kv+amrF9fYa7nUUZ5+AOVPf/pTqYpjjQK2Bbz77rt7GEkgEl+8HFrrmj/6yfDDDz8881qfv/3tb7m+2Z/rrrsu9zMvSvHT4M8991yP7oy0+WPnFju6aATETzjhhPSVr3wl4R/gpr4UY3jJtZxrd/7YY4+Vqji+TgGOHxkDJsjcpOqU/CBQ4YudashxaWs8Mkx2tbn44osbm3qcX3XVVcnLwqXSD/4cc8wxWS80442XhT1b6Y+P9957byLn9Wct7XHsmwLkgtyho55kyw5J+ExnCmaoL8UuSQcffHD+QabLLrusVPd5ZBfw6Otf/3r64he/mH7961/n/i+99FI65ZRTsszT2Q8//HCu94dDc9555+U2Oys12gdOq/mlr4L3t912W6LPnUfpSQHyePXVV2cbWA9YnHnmmZnG+H3EEUfk3a16XpmSOXDyyScnc6OxrX5ui9fTTz89mVP1ep/pCvrZfZQzzjgjeSZtbAo9z06Qf3X1YkOCRx55pLuKXsJ7x+7KFv4QwLeFmTOtj0apnX/++WmOOeZICy+8cJp99tkTJcdofepTn0qA5OjRo7v3WRYR/sY3vpG0A8a2iSMElNaUngGI8gt4BKHe15j77bdfBj3vf//700YbbZTe/e53J8rwkEMOSR/5yEfyMxWQVK4loED5fPPNV6rS0ksvnV555ZV07bXXdtfFh0kUoLyOPvrovO3fXHPNlaqqysrr9ttvTyeddFKOvE3qOekvA7fbbrslO5lssskmCd/xqTfwa2xbB/qxF6WqqsSBcq9JI6Y8b2xBaC7YCv0KEAAAEABJREFUtnCVVVbJTe4vErDiiitmIIW3uaHrDwX73e9+Ny2++OJdZ5P+myfrrbdeOvXUU5NfeZxUG3/JDKPCyOGbnXNQBeC54447Er4o888/f94eUltjAZw5Qccdd1yqg9TGfqJPtobk+JY2oIvxcw9ObKkvR8bZc5VzO+jYhvL73/9+N6AqbXHsmwKc+2233TYtv/zyyY8+4dtmm22W8AU4smPSaqut1i3Xzz77bKLrP/jBD2bdKqDQF3/d3ThkjB4mx6NHj07vec97El3iM/vBDnz84x/P+96L3rvO3vccbM931llnJVuOqldsPWrbUTbHuWLMz33uc3mv/DqA1tbpxWrIlVdemYNLiy66aHrrW9+aSQJw1mV6gQUWSLaDzY21Pxwd/MCzWnWPj3S9sfCZ/PZo7Dq5//7787wi17aBNd/e8pa3dLWktOeee+b5Rw8LjuTK1//4nQXPvuCCC75ek5IfBPOc3/ve9/J36m6YGR+m4R4BfKeBaK1+CQALZFBcnhWoYYworM033zwRBBP9L3/5i+ZEKCi0NddcMwPSlVZaKdkvecKECbm9tz+iijzGueeeu0cX9yOYDLXIxVZbbZU8y2yzzZbuvPPO7KXaog7w2n///buvdZ0fGPEjJ8B6afCDJ8AUME6YS32nHwGifffdNwGW733ve7vJARgtt9xyiRJj5Lobuj4AKQVg2kLQntaiN/jS1dzj/6OPPpoY2tNOOy3vfa0voLrBBhukN7/5zbmvOcKpAZbGjBmTGGXPQjlSugyf5/OsxVD6LAK82GKLJft654Fe/8M5WnnllZN5ZT68Xt3RB/LJGeQAvulNb8q0KIaz0J2DMmrUqOzk5g4Nf8iT69Eb/Rua86kIPRnTJ1e8/gf/V1hhhbTFFltk+aVfNIlIcm522mmnVHdUtRnDFpYAlvMoU6YAvpx44omJXKKfKx566KFuGRQJBDjJHIChnZ7njOC9qDzZE+XT1qzgmUgu51X0docddsg6n252neisVRuBCXJunonoA1h0BD3OqdEO6JZ7kG1jf+ITnyhV+cjOAFH77LNPEjHOlfEnR2D9kBZ6AYxIgn4CQXQ6XUqmv/CFL/RwZvHDD28JRjTqdmPUCyD7mc98pikQFUjiONMfhx56aHKvtddeO/8+wn333Zd/a2GNNdZIG264YeIsl3EFtPwCr2dkZ0q952FzBKdsEVvqW/UYwLdVOTONz0Uw7FdsIgIRhgGARGRMVBOeklpmmWUSAKT9He94R1pooYUSpSoqJIow66yzJsBEe7MiMgEwEQIeY+lDGClEChuAEalSGO/Sp34s4IZitWxraaU+XulLiD1vXQhLW6ceAVPeOLDZXxowmPhd+nNy8Lq+bFXagFzzppxTehQzBanOsuiWW26Z8BkQtmwnYqGtsVDq5qZ684/TxYBWVaWqR1lyySVzxLee7tKjQ98nQ66VkyDqtkBX9Kd8OeeiaDvvvHMCXhgcUfTSPrVHckhOgVtgpa/rLXGLCgJPABp+Neu/1FJLJfMNcGrWHnU9KSCqe+mll6aNN964u4HT+NGPfrT7HBipqqrb8eSQaKSPASk60qqLumZFlNAqj33uBTvoaj8ape+8886brBqIGlupoRPcux7Z008hy+aAz8C36OFaa62V6BJ19WKVEei966676tUd/ZmssXnsWiGE9AVOpUCR9JMbb7wxkcvS7ohnaE/nOp/WImglNY3uEGzCPzq62XjlGegXqTRS1+o2pFxj9cD84TyXulY9BvBtVc5M43OZvOPHj0+UGDBSH4YB8qt2orFVVXVHh0xinh9F5tftRGkoWBGi+vXlM8PH6PH+Gb5S7yhqIYcQ2Daee4pEGJPyo0RFrUSDgWOK3TKZpXngmyKQx+YZKQJjlkIJW9YDwEpdJx8tR4uGUzb9pYPIH57gYbmGowHElvPejvgFfEmf0YfyZmw5SCK8ckPNL2kvw4YNy3OQE8XpoTznnHPOnOdt7ogOmKfSLoB3c8CYirmDx5wwjpS6Ti5SQtCuDkg5taJoondWc6yccDzI/9TSiszimXlAxhqv9+ub+CtCRKeI5HJwrL5YueEAWyJnqMl8uZ4OMra87VIXx94pQJYAWD/w1Fsvsov+0tFKHzS2kiNSiz9kvLTVj/Sv4AZn1jXArdU/PyxF3uaZZ54kr5NDRY6lqgA5AA2ZBKrJMqeV4+U56A2/kgqIkVcgCrAm7/V7m68iiUBbvb5TP1sJFZ0XjCo0cE6eyTIbKarKMcErfThGbKIosPO+S9+t9IkgEseZHMvxLY4JHe+5pEQC4uSfXpEu6Tp8d625IohR19FWiqVBSNHp+wkGtzWA7+DSf8DvTrHItWxMP3AjOVdjx47NETrglEFVr5iwiijcJZdckl9+q4MRfUphACm8ZsCYEMgNNo7oEYNoGY53SdEyhgRX2sU999yTLJUSLlEHUejdd9895/NSApZgyj0dATzK21Kf804vFJGo7NTQQRqJl47kAaI58MoJ4XRMaRwKTTSi9OOsWCIV9RU5sOTKIFKKjK+XKM0lESzzwT3wW0SKEtdmHjACwFMZ15jAnPlC4Zb6Tj1yFBij+vcHUkVU0RbokTaEhqJI9X79+UymLGPLK2VwG6/hiIr0A9rFKOsP7Jg/nNqRI0fmFSO6p1xPhvHSPC11ceydAmiHZr33SInMSD+iR0u/qqoSHUvfSi8CYkpb/UjmgBwpDHLp5fG6xouMnFp9zSkA13MAtKXevCDnntHyvD54ro9UJ9eK9JkTnsELcupKEdAA2oHmUtfJR05AY3qQYAGQKaebzHEq8ZsdRjdpKPhD9qeXdrCA4AO9jf9SV9wLYOXocGA4UpxWq7B0sVQYOmLMmDE5N1gARPob/VGeB585PQB6qWvFYwDfVuTKdDwT4Cnq0mzJSTRAIr18HorPrg9uRbAoKuBEbqXP48aNS5bdtNcLYA2oiBqITgBN7kcwnbu/PsOHD0+UpefQ1xiWSqqqSqJ8PEXGU8TYUq4Is+dwX7nGI0aMyG+FG9+1irEc3c+x04soDZ72hw6lD4Umui+S44U0UWMgE+9Ln2ZHS2Pe2pYzVtoBZ9Fe0QGpNYyhdtFAfRhI4JhjIyWGEt10001zPijFL8JkblgKlcPq+7iuqqqcaxZ8TvkfQ0KW8kmTPwwmecYHMtSkS59V5J0TaxWAvDniBf6KNjHG+IivwA8HiMPFcHOgGVA5+JwdMl1uZk5UVdX22ymW7zOjj+hedFzjvfBB6gGw2ZjaVFVVAkK8pMo5sfIC5DaOAdRwJIEn88lqkVQJ95WuQH8LPIgAiwzT015cJqvGEonmXElBAr6BYvPAveV1mnvmEWfMM9D3rlN8L3bB93De6QWt0L83OgCm8mu1oxveWz0DSulhYJN+lJc/PTSVX+xe+C6YZY64J0fKPQWn8FjgSsCCfecEr7POOoncA7iCHa5R8NnRnHJs1RLAt1U5M43PVVWTUhgA0d6GsGwFsCyyyCK5C2PHkwdWq6pKJrgco6LwcqfX/5j4ljQtc4jcigBSsnJ/eI4EiYIEbMvkJ5iEi2F8fZh8oBhdw7O1hFK2QvGGK0BHiDxb7tz1h9LuOiRRJMdOL96gpgSnlg6i/qLmnBw85vWbD32Nw8gBQOZO6cfIyQ2jMEsdnovslnNHiluU2RygRPGRkcXnqqryrgQULmOgvznmGsa5qibPAdank4plYiC0r+9MxjiR5Kavfs3arNDY1oo8K3SBXEIvWpHRcg2+ifC6lxQl9ZZDzUMy6d71uaA/XuKzvlH6pgDHhVw09kJDOlb9lOQUGDEOZ1b/ejE/1Mu7LvXkzGdOK75zcNkFPAN6pVTUVwb1Vbztb27QAc69O4L/dDZHjB6o2yBzQRtnSP9BKi1zW+mFzXhdf0B8lxqIZlKRyB75VETXOSBeHKzTuX791HwGwq0iNNpoY4vqC0wJVFhRIv+en8zT0XUbhM/uay44tmoJ4NuqnJnG56Jc5N5aVjJBDUPA5P+NHz8+7xlo2YL3SKlpB2b0Fck10RWTmaLULhpw2GGHJTlchJD3V4oX0izDWmoVQQR8RYVEfoAqwmuJRlQPsDaeQjHKIQOSRAbViSDJMZRjJp3Ckg4QrU3xHMCT5RTnnV4sO4m0iAg20gKIFBEAcBvb5GuK9sujXn311ZMlrdLHG8O2r8KfUif65z74bH6Vei+5SY+x1A6Y6SMCMHr06NIlHy2vivpKZaFgKUxLa+agZzRP8J3BdoFnp2DNF/NNXScXET4yW4wKsGKVROSFsyjqg754KQ9YPy+74SWHotAOXYEVcuRzqS+yXI54gVdWBQpP9CXH9IKdYZwrng1INs+AJs6RegUINo/IvvMofVOAU4if9G+9p9QBUXbyIvIu8AC8Apv4LOgg99a16kVsgU9jAK1eViPDc889d7Lior/0GXPDWOuvv37ygqJrjKldf2OSQ/PBWKV4PvMP6OX0qCfP6ukBdsQ1HDZtCgeJfmdrnHd6EWnHT7KMFvSgFTERddFcssQG0rH0JZta5NNRbi7bKK2Mk0IHSDUjo2yuMRU8cQ4POC/lnHPOSV6CZzvIrjkmylsHvp4J2DZv6APXAr94S2d7/qqq8q4g2hS2hQ6Slui8VUsA31blzDQ+F2AigspAmdSGAWpNbMCUYbI9kXQCwqedggJWvFxhGcx2OsYhCNopQzmhhLGqqmTy1wuvj4GkBKuqSnKUKFgRAxEKSyHGp1iNpwDGhMyzOleMY+lUAbTliNY9R16v6CRB13+6S5sPYHkZkASK6l+FQqIY7fogxaDk4OkDzNhiTN6lpUypD3V6esGBMaT09FcYVHNJJKiq/heBZezkhbkfcGMVwIuMRUm6VpEyIxIlb9B5VVWJ00WhSo1wL3wtIJey9llaTlX9736u7cTCqQQolPL9ySQZQT/GD298RjfGVITeMiXaugYPySA5FqUnoyJG2uqy7DNDC6CIDnJk9QGW5fh5c1+7OkWeqOVXqRb28uSMqVfMC8+D186j9E0BQNLKFwey9OSg4pWcTy+cAUB2ZABc6Vw0lrcvBYIsCyKQ63K9IALwywGh063keaGNHnCNeSStgS4WXbQaxD4AwpbaRfbp8jKeIxk31/R3rgi2sCfSHARIxowZ02OHB4Bo2WWX7VHnuk4tVlWBVUGpQgOOIqeFjZZKgpcKGWQ7yWYpwCV7ab5o59DecMMNCYgt45kj8r214bsARWmzkqqN/TU/yCiel3ZHc8e8YWecK+yNbfXoEdHmbbfdNhW9rl06lHljbjpv1RLAt1U5M43PRQi8YMA4ESTDEBJJ6JSk5SyGEhAxibW7htK11Q2lBQBb+rT8pZ1SE9WRd+u8XihTXiaBLfWEFOglOCJRBM4G61X1PxADXHvJgmEs1zm6l3xP92NM1SnAswiFHDbnUVJCU8Cj/uYvuvC21QGrHCB8Va/4tR+5W9IcAFTzRH0pcqx5+XUwbMuzKUYAABAASURBVAkMf0V8Sz9H80aUSpRJdMKRQ9XIU28nywOsqv/xn7Ml11xKjFWDehTf85mPgLX7dHoBMgBb0XS0QN8CMNBdpIfDyhBqx1Nvh9unleyrA2L9gpNokmgvXvVGXwaT8+m6Uqz+SGsCckudI1lnCMm5l1HL/USZOF52iSl6RP8ovVMAqLEnMiAiWKEnpwdo5LgAK4oAhLxs+ttqDQBFjux4I3pbDxZwjjgslqaNR66BILwRtQOoyaI2unyNNdZIosrAN8eJfgGKtZcCHJtv5L/UGVdftgMAq4Ni41i9YXNK/04/chDpPHYNLfCSrJBnDilZYgvVa28sgliCR6K+2uh8KUv0QlVN0rMjR47M78lwhK260eH6Kj5zZo3BYbLyWuenPgA4p4sT7LwUukhwxPyhE8wbbeYmR4oj5ryVSwDfVubOND6bSQw4AJA8tmkcpmUus+xGeYpSiCq3zIO1wIN4oYVhBBaLsWyBx5rmR6CgGV2OUwFy0zzYELkQmBSRYWgYllb/WkAvJ9syuehkqz9vKz0f8MM5sUIHsLTSs03Ls3C8AXlObiOAmpbxhso1nBzAFPC0wtXu38vKkvc4OGqNAZJW/G4BfFuRK9P5TDwwhtIEnHowNJ03nwGXM6SWYfzYwgwYvq2HtKTEwxYFbOsv8vrDi0aKZsgHfL2q4w9VVSVR3yntvNFKhOK0MIL1ZdBWer5WfRbRVWkCIn30Xqs+Z3+fCyCSdiUY099rOqGf6Crga8VsKPDZdxB9lhZh7rY6DwP4tjqHpvH5LD0RrPqy1zQONeiXiRRQnI6D/jAt+ACWuShQyrQFH2+qHkn6hu8zVRd1QGfpC4BvO6x4VFWVf7wEH6tq0rJr27FoEB9Y3uZQyYe1nE93DyI5W/bW7Jn0D8GLln3Ifj4YRxefvZDez0sGtVsA30Elf9w8KBAUCAoEBYICQYGgQFBgZlEggG//KB29ggJBgaBAUCAoEBQICgQF2pwCAXzbnIHx+EGBoEBQYOZQIO4SFAgKBAXanwLdwNcWNra7iXJ6ChoEDWIOxByIORBzIOZAzIGYA0NvDnQDXy9C2d9vakr0/WIKGgQNYg7EHIg5EHMg5kDMgZgD7TEHuoFv+wev4xsEBYICQYGZToG4YVAgKBAUCAq0EQUC+LYRs+JRgwJBgaBAUCAoEBQICrQWBdrraQL4the/4mmDAkGBoEBQICgQFAgKBAWmkQIBfKeRcHFZUCAo0DsFoiUoEBQICgQFggKtSIEAvq3IlXimoEBQICgQFAgKBAXamQLx7C1KgQC+LcqYeKygQFAgKBAUCAoEBYICQYGBpUAA34GlZ4wWFOidAtESFAgKBAWCAkGBoMCgUiCA76CSP24eFAgKBAWCAkGBzqFAfNOgwGBTIIDvYHMg7j9NFHjppZfSgw8+2PTaf//73+nxxx9Pzz33XNP2v/71r+mRRx5Jr776atP2qJy5FJgwYUJ67LHHer2ptmeffbZpO17ecsst6W9/+1vT9qhsDQr8/e9/T/fff3/605/+1PSByOLDDz/clI///e9/E/7/7Gc/S2S76QBR2TIUeOGFF9I999zT6/P89Kc/TU888UTTdvPkBz/4QfrLX/7StD0qB4cC9Oz//d//9coX9lj7v/71r6YPSIfT800bB6EygO8gEH0wb/nAAw+k73znO2nixImTPcZdd92V9t9//3TYYYclRuY///nPZH1M8HHjxuV++k/W4fUKgnL77benb33rW6/XND889dRT6bjjjkuvvPJKdwfGjfLbc8890+jRo/PzPPPMM93tv//979N9992XTjjhhFznPH/o+vPyyy+nP/7xj+nss89OP/rRj7KgOu9qyv9/85vfJOXEE0/MwNjn3DCE/gAX3/72t9O+++6bDj300PT00083/Xb/+Mc/0pgxYzIgadqhq/IPf/hDOuOMMzIfjj322PTzn/+8q3bSf9ebL3hUL2eeeeakDl1/9XcP7cap89nY5th3v/vddMEFF2RQVDd4pf3kk09ON998cyrnXcMmBhJY+tWvfpW+9KUvJcZ24sSJyXjaO6VcfPHFmTfoe9RRR+W5X777n//850y3K664olT160j26nKLtsavF3OLoTMgYIrPhx9+eNpvv/3Sj3/8Y9Xd5Xe/+1168cUX09e//vX061//OpFRc6d0+O1vf5uefPLJLM/0i/PShqe+x7XXXpsuvPDC7KyaB6W9E47k2Xffe++9E73VqLPIwKmnnprnwbnnnpt13pToAqDg0/HHH5+vq9Mcrb/61a+mU045JfOrPhYAwz7ss88+idzS86Xdc+IrWcVrzqi6xvZvfOMb6dJLL83yrr92z0NPe45NNtkk+U7O1WsfisX3Q+MiV+PGjWvKO3b0mGOO6RcJ6Ppzzjkn4d+dd96Zr7npppsyj8t9HOnk559/Prf7A5TiqTbl3nvvVZ3wh7yac0cccUQiy0pu7PqDv+SzzCWyqXQ15f/0PXtOh3uOcp4bB/FPAN9BJP7MvrUo56233pq++c1vJpO1fv/rr78+HX300WmllVZK8847bzrkkEMSYaj3IQwjR45Mv/jFL9LKK6+cPvKRj9Sbuz8TFn0INZDd3dDwwTPssMMO3UqwNBOyu+++O7322mu56s1vfnN6xzvekT/fcMMNaaONNsqGcumll87GdNSoUflchy222CIBzO985zvTW97ylrT66qtn4KyNcHru733ve2mppZZKFLxzkSjtQ6VQMhwXdKKEtttuu6YRFqAJmNW32XcHQrfffvv0cFckzuezzjorrbXWWjn6pj8nigPicynjx48vH7Pz5PrFFlssfeELX8hG1E96pq5/eA8kbb755mmhhRZKs846a9p5550zP7uas1Oy6667ZmD+iU98InFujHHllVdqzk7N2muvnQHvfPPNl3m54YYb9gB+ueMQ/vPLX/4yiXaXr/ie97wnvfGNb8ynAAkwir/XXHNNruvPHzJvvpCz0v+6665LTz31VDlN//znP9NPfvKT7nMG9IADDkjvfe9702c+85nsiJR5ADSvssoqCSD7+Mc/nldpVl111VSeifO8xhpr5O9Bni+66KL0+c9/Ps85N2DA8XW22WZLZNoc2WmnndKQ+9fHF0I78oK/wBGZKt05CuT8rW99a6bb97///bTjjjs2BVDlGo4KJ3RMl9PrOvpzjjnmyM2cVuCaXgRSOLa5oesP5wR4WXDBBRNAyvkp84/OB7433njjNHz48DTPPPOkAw88MAdI3M9YBx98cALel1hiieS+npNO0c5erLfeetkJ/+AHP5hX7JzX51nXIwyp/+wpGfWl3vCGNyQ8MM+dl8IWohNdXeqaHYFLvKdfgVEytvDCC+eu7Dp9kE+6/tDlZPrd735319mk/5dddlmq98E/LWyksTi5S3Tx7fzzz0/OybV2PCe/VVWlOeecM+vvzTbbTFOiF+o63BygwzlMucMg/gngO4jEn9m3ZniACJ54/d6ECxhmoEziTTfdNBsZSlY/ionCM4kpYd68vhSx9sZCeAnJ/PPP3+vSJEEVlS0CVh/j0UcfTR/96EcTL5cS5okWIfV8BAvgYpxFBgDdD33oQ3kI3wNw1y6KCBxp1/jJT34yUfaAHsGndCjjT33qU5qHRGGcfO+tt946+V4nnXRSjpIxMIyTL4mfDz30UHYWinOhvrHgw9ixY3PEF68YRd6+6JO+onGig+6hiB4x0Giu/Yc//GGaffbZ0/rrr5+fhdIzj7S97W1vyw7KIosskswzTgmem2PaP/CBD6Qvf/nLGcheddVVCcgGuoEi7SuuuGLaZZddEmDHaPg+eFkcJH2GchHZ5sChgUgvOeFEorfv7ci5e9/73terDOpXL/jJkDXKpHsBqnisADTDhg1LH/7wh/PlX/va11JVVcmcA1bwmbE1HjDMAfYZyOUI77777tkhdfFyyy2XwRCAYy4B2MZfosvIaj/ooIMSZ9x1QBZjboVIWycUEdBlllkmz3WOImBzxx13dH91+niWWWZJ2267baKTycDll1+eyEx3p9oHepdMC3TQCeYPWgsuCIyYR+6z2mqrJfeSklCi/xyeLbfcMjux+OK5SjoZnS/oMGLEiBwpdh0njDxXVZVBnfn59re/PZm35oL7iu5WVZWAaaDYc9PfgNgee+yR7UDt8YfMRwGJCRMmJPRh5+jOddddNwcAypekS63cvetd7ypVvR5vu+22vGIiYDV69Og8F9hnPLUyitdkV2EXOJN0hAE5HVZiyJXn0Ift1mYekFf8cA+gWju51s4Jw0PBFvZUAEO7NgEJOtw1+EqHf+5zn0vFPugzWCWA72BRvu/7ztRWnplJu+yyy+b7AiWMGg9SBeVmMpvgIm/FQFGi2qe2uE4O2AILLJAWX3zxHpcDZZbBLKvwdClJHmrpBHh5VtEfClI9o0lJ+Ey4KBVAGXgCBClhbTxO7ZT0+9///uTIk9Vf+1AowAEg6LuV7wMsWgLz/dUBIRQifjNO6poVhq3On89+9rPpTW96Uy76A6IMps8KxWjMwhfXyucTrRCZskwKHOlrDsjDZtjNA0BKFAG/tIs+aAfMKVD8Boo4adotnWtnMBl+Stx3EonSPtQLmTSXRWfJCSewLidT+/2ljpBrwAYv6tcDLPXzq6++OpkbQIy5BEQtv/zyWZ7045RITeJg4ofVG+B5rrnmylFhfCLH+lpGtaKAf0A6wyl337jazZlnn302aXO9OcLJ0dYJhRPy6U9/Oq9+AUpoAXSW7y6toA6MOPcATx0cl76O9CkgZM6gM5m15K7NfKJHRfScozf5Amqcc1JF9cwzOpWO9Wza6G0894xsBwdUP6BKO9DsMxBEL7uW7Ps+2t2XHje+OTP33HPnVQXpTNqHWgE0pSRss802OS2BDNCJ5XvSe1IVgFRzoNQ3O9KJVlysbpIbckw/6CvYRQ/7rAh+CFyss846TnOxysKxFa0HkNn43ND1h7wJgOCH4hnZbjzqas4rQeyxeYLn9LZ5pE2Ajf7Xt+hwdsjzah/MEsB3MKnfIvcGiAga41MeifIEiCk0qQCUFpBDUREUUVR1pf/UHEVpLdMykI3XVVWVIw2iPlIVdtttt7xMSnj0JUwUclHwlvk8o+fXDhBpA74YYxEiykAboa+qKi/V+H6W84Am9dqHQgFMfZ86mGdkGBC08x0tQwObxatX159CCVLCFGRjf/wBgOrL0OgvaiP6J2rvehF31+IZIwgoi/RSnJQ0A6gdP4El0QHGkPJmMAE07b6L7yW6CFRbCTCma7QP9QLskEF0JZeWnS1LotvUfnc0AyY5vHjR1/XoDjzhi34MGVDDsDlXfAamgFpjA0ArrLBCApTJqyVdBlJf/PT8orr4LCKk3pgppZzXveiii+bUJHPEilXdMOs71It5LUUNWOV0FLDpe5N3IAcdnSucBLrb53ohb6effnpCT3zEc6kMZNL1xqEX69cIEOiKJwKGAAAQAElEQVRXrxMB/MpXvpJztcmgNs+Ipx/72MeSlBUgCE/xUZt5YG7S+fQ3XnoO7a6nP8wDKwZA9QYbbJDTIUq7PkOpiJiK9G611VbJ9xV5t0pZviMnn/xYtWGjSn2zo/QDvKMTAE051KLnHJHG/pxO8smJKW1W5AS2RODND46V+aEdTznCdD75pdPV4ad2dkVqCrnVbgWH7GvDb0BZ4IVsS3ljc8w17YNZAvgOJvVb6N4if80EzATnwUkl4CV6kYiRZXwAnan9CpTgjTfemJe+GcBm1wNDAI1lbADYUptIgr4AG4NPeRIwUUhLcoRTO+BFSAkdo0BBFyPNYx3btXRPAIF9R+fAnGuHQhk5cmRC40suuSSnCYigigZStKKmvHUKVcROZHhqvjOj68WW4cOHT3aZCAaFxvCVRvRfc801E+cDQPKSFfCrXWQPjyl+BlmE2nKtpTXtDKdzUQzPy8Byggowo7idc9YYR8bWPOAsuX6oF/SRT4t+HAuAwXIkQzS13901okuMFj70dT0nGDhiwOr98LN+Xj4bz/KrZyWvjK6ldLKnD5DG0IoSkkl8FL0i39rJMlDAgJqvvq8ombZOKVVVJU4h4AtciPJb7fD90UfEDe/RV3Qd+NFfe72QQXIKVFrqxgdpY/J9RRz1xS/Hvgq5M4bVMiBLX7ZDpNjqAHlmNwAqpaqqBNT67L5sB3vje9D1rqefLPtzboEuYMq5+aF9qBXzm672HQFXDoaVTt/dd5X+JW2EnDvvq0htcb3VNGkO0lUEN8qKbf1aTiu9W68DeKVZsLVWWulpcq4PfW6ekFvyyW5IpynzRPCIjWVzFLZWHr5rzdVRo0alNdZYIztJgLnvS3drH8zSVsB3MAnVLvcWXWH8S6EYp/TslJY+Jq6jQnGVehPexAc+tDF6PHaK1PnUFEtzgApBZXCBJUbNczvWxwLUgJm5u5a9RPVKG6EjYHJO1Tl3VIAtyoLwU+oMMiWrTUEXL1O5FiBzrr4dC+Pj+RXfRZ4s3liusoRpmcyLBKLrImVVVeWXD8wJCpaB8r158Pjgc7NiXohKUIIUZLM+DDHnCBAt7e4rx8uSnlUCio8SLNFovKqqKokK230Cr5RyfWnHK8q6nGsHgvBV1EgUg+Gst+szVAr+lgJcNH4vdBVJ9cJQX3xsvK6cy4tn0NAeeOI0klHzAu9LP5+9XIgXRTfgQ1VVPXbTIMdVVeW8X9cCPQANww7g4lO5vrSbn/gM6OivXsFj8m0eMczml+u1DbXCASh8ph/lNZfvCChJNQNcgFdOqDbAQo43Z0HUjbzT3eRMe71YTcFXegFN0XHEiBH5zX0reXji2vo1eGle1OuWXHLJJK8bAJbGZF5o188Ycn3x2txQp03xWTugbaWinGtTj9fsCv3A3jhXr32oFjRi38xvQQEyJxIsWm4FhjyKhuMDG9nIH3SRMsLRIf9oKjhAzhojvlZD9SXrrmss5I5dFWUWcdaO/uYJ3c65Yl/006a4n+K68847L78bpL82xeeqqhLZlkZVzrUNZgngO5jUnwH3ptCAjFKAiindhlECFsvyGEGTW2dZo6qqBPAAPhSSsQifwkg5n5oi/4hStPyheBFLVJLipnwbx6KoAW5Rpsa2Tj9nPAqfLVUxGmgiagoEW6JkSNXbPQFApFjRXRG9B5Rc6+U11zYrltEoXcqVom7sYwz5nEAoxVbaRRxcw4FhyCg/aSeeo/SJ45QpUHjseMABBzS9APhAY/LftEMflVZuLHmbE4qcPlsoif4U58jlcvPoAbndzhX8tQIgQkQnqLONIJ3CwXQepX8U4KjjsQIc1lMayghWp6SNSOUqdXS89DFOidxpkWF9Sns54gkniVyWOoDKZ+MBxIBR0fOcY8vvwLU+jUX6kQh9Y32cTz0FyC0ATF9LayF7ZFHxIiAQS99zehpHp+/1qcsqwGqu1PuK6gO1AHK9vv6Z06tdxL1eP9Q+B/AdYhzlfYkEllKWksrX5EECP46ljsEkPJZMABwCIlrnjU0CRIkyrCUCAahW1aRcWWOI9nkjlNJ1rgDP7gM0AUbqFAYW8C0FICNkojmew1IdEGY5TEQYMBa90Mf1Uf5HAZ574TMaMWpa5fjaKscSMwBsKVwESe6zt4QL7b3BS+GKqlsmc60lNsuXHA7nAI3+QA8jSCkzsNIPtCt4ZVVAVMB5KaKwABSgS6Eyqu5HwZc+cZwyBQqPHUXogBV8IK/oDqhwVEWDORllRDwkz0CROVHqyaUVEcYSWMXferEUSW8AVKJO5TqrNQxxOS9HqU/mCb3gXoCbfgBx6RPHKVOA44jHCvrRh1K86EPvU+AlHpBzS8xlRLJotxS5uuQcaCptIsOWpulgQMjKgMidl9/MAy/DupeIO/0AbIsgA1F2ZTHOXnvtlbcvc43dcNyPbqZbpL9VVaVblKmgALuGZ/gi4EN+pPFY0RA5rcsjnoi04i/dqb/PbLRb0t/k2EtrxsMXOkIUVrtC/qXAGEckXZ1iXkkptHrrWmmIUp7YFu2tW6bvyQL4Th/92upq4FR+rMku14qx9AV4eKJ/oqoMniU3CrIoVxFfubAElcfIaBJS0R7XE0RRhAKmKU395QqJEFlaF0XSV5K7SHEpIs0E0b0dAWxATW4n4MYIMwQAveuj9E0BdOaoALXSH/BcDper8Flkp9De8mlVTdpqqAAmuWFekuK4iM5bnqIYKVc8V/C6DohEI/CH0XWfUuSdSo2Qo8moUtZenrAMV/rEcdooIPWHjHlZyFv6aEp28cGIALEXXOR3M6ryYouhZAS9xS1KT97KfChHS5kMMJnk+BpP9M/ckpfovF7kbnK85HeaH8C5pdt69L/ePz73nwLobkVGlF1E2M4HZLvIGt6jN2cU0LFyVmTZXYAg6QicIHNDjqWcTXmZeGb5G7CmG/DbVpWW3C21A1JSGuzXbp4IcLAf2uyvDJizE+4TZeoowKGRC4uv9KnAE+fDKByUIouOosBsI33tKIDgHQ580v8zn/lM/hEoc8BnqUtHHnlkYju1K1baOE6cq6r6n6OCr+aH5xDoMt+sGAhQuG6olgC+Q5WzTb4XQ0jgTG6AFKAt3QgYT190jrG0vEUZaidsXiITAfBCA6EjqOq1e4HJyzEUpHNJ7X7FSSQQgGJkLYtpayyUsJfnLMNp422KHLkPgC3dYqgLoe89UAWdAR1OB0Um6trb2HLB5P0BRaWPiC8+4z2+cpLwUSSvFC8b1nkCaANhDGsZx5FTI5LvhTppF/ITgeFm6RL6T0/ppGvRT74nIAIIkTXL1HWeeHG07J9L3kWQSuqBNpE+QNVYjbQTTWYM6/WMLyeqrjNKu7lCt4juu5ZM18FX6RfHqacAGcVnTgs96uUlgLOMBIiaAxxK4IXMlTZHL6PSp6WebrYrg63M8EuQoa4j6HDRSO1W+IxpHE4MB9aLdAIm7iegYS5pjzJ1FBDUEWUVweeECFIUJ7NxJHywClvqgVt8YBvVkWF8EpjSz8tyHOL6eHjMKZL25ppS8Jtu5gRbqREQK3Ol9BmKxwC+Q5Gr8Z2CAkGBoEBQICgQFOgkCsR37ScFAvj2k1DRLSgQFAgKBAWCAkGBoEBQoL0pEMC3vfkXTx8U6J0C0RIUCAoEBYICQYGgQA8KzBDg641CeWVecvI2d487vn4iqdpbpfrIM5R8L/naeW/Fm4uNbXJIjVXuV9rVv36rHgfP4z7u6SWPHo19nOhbxna979hH92gKCgQFggJBgaBAUGCQKRC3Dwo0UmDAgS9A6IUYbwbaf9XWSI03de5FGXsAepPULzR5I9EuAhLmbZDuJQrb4fjsRQ5vPNpUedNNN82/YiNZW0K3F3EAUm+3entdsr0XsSR6u0+9ALtezDKmLUK8gVzfgqvet/7ZG9LebpVUXq7zLPU+8TkoEBQICgQFggJBgaBAUKC1KTDgwNcbht5EBWq9fertT9td1ckg6mqrJLsC2JPw3HPPTQsssECy3ZGtPby96ldobMfhs70IbbNimx1vhgO/tnPxi1D2IPQWojcWbQ/iDWNvM3sjvX5Pn23H4zq7BdgixtvmdjDQ1lsRTfbWrO9kfz1vvNoqJPaV7Y1irV4fzxcUCAoEBYICQYGgQKdSYMCBb52QtlPyAwa2P6rXA8Iiwza8t+UG4ApYrrLKKgm4rff1GUAGcEV5q6rKfdTZYkd7KSLMgLeob6mrH+1hZx9KoNV+tECy7TzqfRo/29QZwLZZvC1E9Fcat25qvC7OgwJBgaBAUCAo0JIUiIcKCnQwBWYo8F1sscXSFltskexVB+ymrn/ydEVapTgMGzasq2bSf+C3LzAJ5NpLcFLvlIwjR1i+bSnycEt7s6O9JV1n3zq/RmNfQukLzfqWuqqqEqAsncIm/vYstadiaY9jUCAoEBQICgQFggJBgaBAe1BghgJfJLA5s18a8QMHorwApB9REHHVPq1FjrBfG5P2UMqZZ545xeG8BOeXavxAgs36/UpVXxeJQEvBANblEwPrNuWX99vXdW3WFo8bFAgKBAWCAkGBoEBQYMhTYIYDX+kMfuXrsssuS37S1q++iPZ6cW16qOuXvgpwBV4Vv0gzpTGlN5x88snJzzF6hn333TcBsS+//HLyy2XOFWOLJNfH80sp8of1BbzrbfE5KBAUCAoEBdqZAvHsQYGgQCdQYIYDXykK66+/frILgqipl93WWWedJBd3sAgsP3jxxRdPotEvvPBCksfrhTtHEWHFZ2kRjc8o7WHeeedNXnprbIvzoEBQICgQFAgKBAWCAkGB1qXADAO+gCHgWFVV8jvythqT7+s3pAtw1I40+jqW4lybo1Lqy1FdKaXO0TWO2hwbi7197ResvRQv1c0zzzzJi3NSGmy/psj/ffvb354AYrnDpb/tz+aaa6704Q9/uHH4OA8KBAWCAkGBoEBQICgQFGhhCgw48AUUf/zjH6c77rgj2ZrslltuSW9729vSBhtskMGiPXTtpytf9vbbb0/SCaRBvPTSS5lMwKkty4xhP2CfX3zxxdzmj23QvJz2m9/8Jo//7LPPJmBWzu7111+fRGsvvfTSpF7/ejn00EPTZpttltMcpEbYqeHiiy+ud5ns87e//e1kazVHL+m5Zp999sk7S0zWOSqCAkGBoMDQokB8m6BAUCAoMKQoMODAV9RVVNRuCaKptgBDMT8qceyxx2YQLIL6+9//Ptl31w9D/OEPf0heetPPC3Cvvvpq2nzzzdPee++dnn/++eRcmwIML7fccsl10hHk27rGtmnuOXbs2CSP15j618t6662X9HENsHzIIYek+eefv95lss+rrrpq2nDDDZNr3G+33XbL0eHJOkZFUCAoEBQICgQFggJBgaBAS1Ng6oHvFL6OLcfWXnvt5AUxxRZgLrG37korreRjst/ulltu2d3H7gxyZzXaRWHUqFHdbfJwvSCnTTFmvfhFt5JHXK9fcsklde9RDYW5DQAAEABJREFU7CShz+jRozOYleLQo0OTEz94seuuu6Y99tgj2UvYlmhNukVVUCAoEBQICgQFggJBgaBAi1NgwIFvi3/feLygQFAgKDDdFIgBggJBgaBAUKA9KRDAtz35Fk8dFAgKBAWCAkGBoEBQYLAo0Lb3DeDbtqyLBw8KBAWCAkGBoEBQICgQFJgaCgTwnRpqtVlfu2dcffXV+cW8Nnv0Ho97ww03JPst96iMk24KeLnzJz/5SXr88ceTbfe6G2b2h+m83/33358efPDB6Rxl6F5uxxqy4OXhdv6WdNKECRPa+SvM8Gd/5pln0gMPPJB3LJrhN5tBN3jiiSfSvffeO4NGHxrD/vWvf03XXHNNKrtateu3uu6661I7/ahXAN92nWlTeG67YdiX2I+FeJmw3v3JJ59MXjS87777crUdLrzw54c9Spl11lmnuOOFHTyALVvEzT333Omss87K4wFftpb7+Mc/nmafffb0zW9+MwHhGrVddNFFeWw7bNS3qtNuTFvM3XbbbU5z+chHPpJsedfuBj9/mQH+g57AkF9EXHTRRVNVVd130HbcccclL3WWSiDZvMCvd7zjHcnOJnYsKe2Nx1/+8pd5Oz/zwgujthM0rn6OthY0l7xg+slPfjLZolC9dj9aYzcX889z2M1FfSkM+2GHHVZO837fP/rRj5KtBssY3Y0d/sEuOCeddFLyMi/e2WGGnCy00ELJfuNe2tWnkIkcfec738lbSPqlTL9EyciW9sYjevtFy2HDhiW89suY5pV+9MP555+fvGSMz5tsskn+QSJtii0ryehiiy2WzAd1pRjXlpS2gSx1K6+8cvJsgFGpi+P/KEAvX3HFFWnppZdOXhanY0eOHJn58ulPfzrdeuut3Q4u+jon++aBF7HJ+P9Gm/yTLUeNg88KG6GXsR5++OG0zDLLZL3tJfUJEyZoysUWol5K9wI6e2Er0tzw+h87OJFz46haeOGFEx7T9+ajuk4o/f2OgjlHH310Ig9zzjlnIp/nnXdeIns2Axg7dmyaOHFiHg5N8WbNNdfMW6mSN9vF0gO5Qx9/XGuTgC9/+cvdvdzrtNNOy3aYTNtQoL4FLDBO3ukbeKH7wq4PxjM/9ek6zf/NJ3UctlzR4n8C+LY4g6bl8QgLEAqQNl5PUBhMyrW0AZR+wOOcc85J2pQddtgh72RR+jQeX3nllQxod9xxx0RxijjutNNOudtNN92U2/xKH2VJMRubAbXN3KmnnprsiwyQjRkzJl9T/vAcKWZgqtQtsMACacEFF0xnnnlmss9zqY9jylEhIMI+2XV6MDR+KZEhqtebF+aHH2mxnSCwAzQ1oyve2ft63XXXTfhnhxO8tke3MQFbO50cfvjhef9sYwFFlB+Q61rbAY4fPz7dddddOSLtOoVBvfvuu9Nee+3ltLt4FuAX6PIduhs6+ANacvz8aA4Qy/AAGVVVZQAJEIui3njjjZlKgM93v/vdLGOOwOhVV12VGCaylTs1/GHc3IcxJP+A7rLLLpt7kV97owO4os6rrbZaspc5HWCrSfPomGOOSVtttVUyr/JFr//hCJkn5sXrVXm7Scb+wgsvTL/97W9LdRy7KMCB3W+//ZJtM7tOk206ASD735Nde+Kjv9UR7fr/9Kc/TePGjUunnHJKwmd01dZbOfvssxN+4LNi/ugrWAJcGcdcoavpXG3mDVDmx5sEKzjE5oU2hfOM1xtttFEP53vUqFGJHnIf81LfKCn/fsEFF1yQbM0KeNJ1bCj+soECAhyGEjFHX3oe8GU7AV87Td15553dTlAzuuKbYAXe1dsFF/DP+GRaUGPMmDF569g//vGPebtYdtr9gPP6tfSzCDXHqNTTSxw1eoNeKPWtegzg26qcmcbnYhQpGpN3+PDhk40i+kIYKLDSKPK3zTbbJGXjjTdOJvu73vWuHpHC0teRoBCkRx55JInkUMo8Vm2U27e+9a0caeItiiDZk5lCBqREL4AsYJbQ6+s6xY+W/OxnP0ubbrqp0x5lhRVWyOAJWOrR0PInM+4B7X0t8sLYzDbbbD1uZL9rtPzYxz7Wo37xxRdPDB0+H3HEEXlbP/OFkevRsesELwHnXXbZJc8NBtEe2RRfV3PiMAE+nCbnxp5lllnyrx1S1CIIov4ilG94wxu6f1RG9B8QFsWi9F1bL+uvv34GbcZI8S9xJMx7tERfMj7vvPNmh1OdfcbJmkgcconEARpWVETd3ve+9+WoPVnl9OhTL+TRDwqJztEFnBXA1Gf9OCnui/fOySIdwlgDzOYOQ8x4lrmhn/lHRxQQp64Uz+W6ev/S1qlHUbijjjoqbb/99jniig5oDIAIMGy77bZJMEFdcT5LlNdqi3lgXtC5rm1WOCHHH398dj4WWWSRRNbKVqJkESA21iqrrJJE8QAx45hTTz/9dKK3zQv73+OtNuW2225LVh9EK53XCyB/xhln5D356/Wd/JkdpKP91kFVVRm84gMwaeUEX8h20etkmxNBluhuPLSSRsbMh95oCdhKQSCf9T4cKqu6VmTV43WRaXqAjsbPT33qUwlm0Ed59NFHE4C+3XbbOe1RyD99YC70aGjBk1la8JnikaaDAiavJRBA1HJJfSgTlqcmYmDSlzaKksIs5wAqI2epo9TVj4RNVIHSpaT9sp2IkGgyIRQZEp0irK6jDH/9619noOS8Xiy1OaeQCal9n4uwqy+FsjXmwQcfXKo6/shj94uFI0aM6EELRopiFbHDo3ojZ6OcW0YFVkVyG+eKPvPNN1+PH2th9ADYAqYpOuDKHBg/fnw699xzE8PdzOECnBTjmh/2wy5KX129MKqiT6JZ9fpO/Uy2gF10QQN0JN9kFCgVpWU0V1xxRc05rYgTyXCRL/3xhNxyiHOn2h86A+jSbqnccjZdUboAwpZlRfZF+qQu+XEheqP0KUf381l/YN0KQdED6ksBsjyf6GOp6/SjyDyH0ApLoQW+1YMUdGBVVakAGe36khegGGDFL3XNivlC5gEnAYl64MGcAoTMEU4Sx5dT3WycqqqSeZW6/nFeOOFSJEpdV3X3f/oldZ2R+65D/O+igIg6uSi/JUCvoj+54GCQC/pV6eqef/irbo/JnjlARzejuWsEJthVPHQvdaWYJ1aNRHPNCdFkoLrRXuhfZBqAFiTZYostcrqFtnrhJJHpE044oV7dkp8D+LYkW6b9oSgry1UEgzCVkQBeYHX33XdvOmlLPwYW4CBMBLHUl6N2aRIM5ciRI5MlaV4qQ0hp6yelAbDxWfEcnouBBbwIF2BmGXbrrbfOyyuAk0gzTxOYAooaPUeCL9JBMRu30wtwwyEAgOq0kDtr2RoN6/WNn/ESPcd0LXEBwY3tjed4tsQSS+RlUm3uawme04R3xmNMjaVOxMKSrMiG6B7gJmJgHLm/Y8eOzfmpgLPIsTEVStr8YwA4Uuo6uZAN8lwMUKGF6Ao6Sikhe8CmNjTDC4bIueJakV1tzuuFsZViwqhZmWEQnZec4eHDhyfG7Oabb06igaI9or7kWqSZY0vnSLWQouQ+lmCBNM8gesxAi0LTAeXeItHmQkT2J1FEpA1/6MdJNZP/BY45tHRuaUVTq2QHHnhgwiMApbQ1HvHiyiuvzClSa6yxRpL3acx6P8CGTFoiN8e00ed4DUhJT6Fj6AKyLc2G3Eu3sLpjXPLuulLYEo6VuVHqOvlI1sh0PQCFHuaAKKsAAsexN9ngaJA7zkZVVS7tUeh/Domovshwj8auE1FlK34AL3Atmuy+ZFr01yoeXS0lgvMqqCWVhfzTzZxszjZ9Yc52DZn/0/GCMa2e7hDAN7Nr6PwBMC2NUkDlW0lNkIguB6/U9XY0iRk++TqNQuka7YwVpQegVlWVl1xFEfrj0ROsAw88MPFoGT65TAQKUBIZIGQiTiISDHpdURJGz2CZxrHTC7ABXNbpIL2Aw9CY81vv4zM+As6cF4ZUXV+Fo0NZiy6Wfgyu5U4v1sj5lA8oNULEWZ+vfe1reTeOY489NpVIPmeHsaUwAVtGtKqqZFzP5DogTaqNVQLzWV0nF44mI9NIA44gGqIpGUfnugPR2L8/54ygFSPjcYBd4zMwtcsuuySrRZZagZ0im6KGrpk4cWI66KCDck6nOUCH+FVOhlT/Sy65JHleYyp4zEkq4EpdJxd0KBHAZnQAdjiqF1xwQY9metrqjxeKgRLL5HjWo1PDCSCLV+utt95kednADmDrHYzRo0cn93U5QAysjRo1Kkm7EHFkV6wE0EWCIJ6Pw/PVr3411WWXPeJImRfG6vRiRYUz2EgHKUDoJEhF/5144okJiK33I3fobaW12MR6u8/0Mn1Knp03FjzlKAtYcWLxluNKp+vrfQ3yyl4LUHBk6WVAWt/VV189p6NZZZDz7RqFg+Oaupyrb7USwLfVODIDnofnxjBJPD/ggAPyi2c8MpPWhK7fkkAAvr0JTFVVSYTINVU1ydMU1THhKbWqqvLyeN3jB5oo5HKdqANjLWcUSCc4PEhLM7xFnqclE1FqEQb3itI/CliqZkA5FHjtxRepK16MKdEDCtHyFiUHzExpZIpXtGbEiBGJYi79zRPRYktkDN2RRx6ZASwjrA+lbI6Ze64VwRBJokA91/CuSCLgAyABWeaP66JMHQVE2721TY5EZtAXsKmDYJ9F0tF7SqOL2pB/fNcXP0UFgR38xEMvsZFd7aJH0jE4s1Z7AHXL9VZmXEfeC6ATIXRNFBTofyEbooECA1KOGq+UHmb5er/99ktoTHc29mk8F1nmyHBYGtsEMoCiqqoSAKZdOhR5lw8uOAEc461VJ7pAmgRnBiADvOo2wPVR+k8BzouXRqWw0NPlSjJpFY3Ty2aW+saj6D/bbtcedkBAROBCigXgjIfqvNcjRY0DRLYLrzmr0l3U4SP9L5LPhthyElgG3DlY0p8a79/q5wF8W51DU/l8ACbAIZJWLmV0GEdg0mSVM8Yr06+A0dKXQOjnLc1SVz9WVZW3VAJcGFptPHsGT/TR/SlDgkJZW3IVIRYd8Bz6lyKKxGAScsvmFKc2wk3YATSgWp1CyBwZdcdOLyIrlFCdDmgpgovPCrADCHFM8FxfQJi3L6JT6tT3VoCXYcOG5RdbqmqSs5O6/nFKGE3GDu8svwJMQGxXc/d/c8NSvDkgqm+OMNTqzQ/89owiVy7Cd3UMqr7qOrmIsqB1bzRAIzzQD7/JEueRjKIjQ+czB6M/skOejUEPuKfoEj7RFZZNAWDtRf71UYAtL8KMGjUquQ8eezZg3Jhk2jzRV/FseO3ZnXd6Ia/NVrPQSISQ3ra83Red5p577mQlzbGvfqVNsMHLyeW8fiTznomDWq/3mU7gRJlzzs0N/PWs+E2v4L82he7Ge9c47/TCeWnG60IX9ONocCqLXqQvOZX4wTEpfZsdrfhJTcE/hX7l6JDLqqryC2pkE4/YBqvB7gnk1sczP4BlqSyup1+qqspRaCjc5VcAABAASURBVDKN33RBuQbv6QrPXupa8RjAt4W4MhCPQkgYPROYIjImZSmyV4pkd6CCcAA/+igmrDf+eX/OSxGF9UKTnKGqqpLlcSCGV8l43XbbbfktYdEDwsQwAj+EVJTCUijBks5QxgSKLY1bIi9CQgABdCkTrhV5ApTKNYw3Y+z7lLpOPsqXRkfgs9BBNK7w2dESOboCxJQe71x0UN6ovE1RWvmcIvDGMDfKuJSabcx4/bx/W1bpL6os2sfRESEQBbKCYJmTgRYZMFYpnCCOmHlpflDCUmWMIafbEqkIA+PpGkbSeOYYZayuk4sIGnlmVNDBEe/Q3ZIinlpy9lY/ueYsiuSI1HI6ya9lcIAUmBG1kavnJTXGi7yRaRF5DhEdYJs6c8f9zAf5npbA8UaOKL6IOmlXPBMDyfkx39SRa06wiL8oZFVVeS9gbYpVB33JtPNOL3Qs2cCfQgsyiE/kUI60l5G+/vWv5+3kBA5E9KSTiLhyjqz0mAsFYNouEGAW8Qdi8Nl4Pks/0Ubm3Q//bGMpkmu5nX62mwSwo70UDg9bYLm73MdKEAeLU211Sa63uViuIescdeC31HXyER/INDCLDviDr/SrKK9VWvrULhvAKfkaN25cIkvsqX7kXyqKFVX0FXQwR9hxur9e2F7zi42GEdh9Ol9OuLGlntEbQLLnUci6rdPojRII4/jiO31C1+MxEK+/QhcZo+gOda1YAvi2Ilem45lMaoaS8pS20Gwok3X55ZfPUZl6O0GUr1m8+NLGgHlTmJFSJ5rAODJYDJ3dGCyxiTRo56VSyBQgcLz//vunRjBNaCyHNkZ77F0ocjR+/PhEyRtPoSAY8djVATUmFcqTc2BZcVLN5H+BU6BSC4CML+YFUFQKsAMI6eNliREjRiTARrsIHtDqcymcEcrOvSln4NfLNRQzZbrEEksYqruIDgFlxUhqoIDNHQ6RucVZUq8wugxy4zzU1okFMOHE4pPvT8YZFpFYxk0uHmcE77Qr5JvcAUJSisiNF+G0MaQAqTGqqkpAC1AyZsyYnO+Jl/L39VUsa3rZRm4pmQW25QDO3RVd1K4w1l6mpBOcl8JZArZtZ8XBMne0+T5ScgB057XSsR8BF3Pe6kghAocDQBUdLPIn0ED20JIziY7SEixZ4xP9W64n/5wYc4Yel58NPHnJGQ/wuvTlyAA7cvPNBQ6s4EhpL0erdJbhi6OqHu+BZu9lkH/zTb1C3xiXvnIeJSX2UNCCnUYPMjl8+PCcHy94YS9foLZEdgWSODSOZR5wVJdYYon8IyeirlJdgE7jNRb6XSCh1MMI+OzdCukzbAMwXQCufuYVnWKeOS9FIAS49mIzPpNvbRwfDpjUN+etXAL4tjJ3puHZqqpKjB5AyQtsNgQjx2tk8OrtvDmRhXqdzwykJHtK1LlCGABTCfGMG6WpXqFkgScKEhBaa621EsHWVgrDaum1nJejqKR9K4EoHmqpB54o12aKuPTptCND5oUmkThef7Pvz4CJ8GjTX0QAz+oFoClRdBEib/uK8gBHFHC9r88AlfEUPJHbqR7PRBLU10s9YlDqgWCgh2Hfc889e+w0IgoB7JljpX8nH8mrqCtnUQSQfDGcAAy6Mz74UKeRyCHgwnHBc0ZRnT4iOwCSdhF40SDRPWN5UalRL5T7iQjqQ94bDSzAC9jgq3uU4l7mKCNJJ7ifNtFec4xD5DxKyjucyJVHK2ARTYBWNK8X6WgFXNCt2oAiEcO6znS9XXPsuS7SSgeLDutvBYcuVa+fAngLPGing8l/Iz/1A5rNGZ9L4ShbraPvAaj6uPQCeW6co+XaTjyypegBKAKReCPlhJOD/nRs3aaylXisrV7oVvIpUEDOOKlV9b90tEJb9rvMGXVkj9Nj9cZ4HORGnnKgYAm8dU0pUh6MZ64IqlTVpPtZ3ZU+2Q4y3frAt1A7jv2mgMlHqTFUllD6fWGLdrTszVA2Rhla9HFn6mMxNqL0FKYIzky9+Qy4mR0+5IJTno0Kdwbcri2GFFmTqiLC64WUtnjoPh7S6o3IFfAuctlH145rAlzQRfRWGlm7E8A7COTYri7F8Wr37zQQzy/Aw0aL3kodGYgxB3MM0WvpTMB7WRkezOeZ0r0D+E6JQm3YXlVV4lHyvKU1tOFX6PHIIpW80/pSTY8OHXzC2+f1b7bZZsnndieFN5W9MV6PGLX7d5re56+qKkktkTbkOL3jDfb1oojAnWgRUDTYz9NK90cP6QijR4+ebJWslZ6zv8/iBStRZlHC/l7TCf3INHs2duzYvAtSu39nqRaCFVIvyqpOK3+nAL6tzJ14tqBAUCAoEBQICgQFggJBgQGjQADfASNlDBQUCAoEBYICQYGgQFAgKNDKFAjg28rciWcLCgQFeqdAtAQFggJBgaBAUGAqKRDAdyoJFt2DAkGBoEBQICgQFAgKtAIF4hmmngLdwNfeqba/ivJMChoEDWIOxByIORBzIOZAzIGYA0NvDnQDXz9eYBPyKM+noEHQoH3nQPAueBdzIOZAzIGYAzEHepsD3cDX1hq2EoqyYgoaBA1iDsQciDkQcyDmQJvOgRXjuWPu9j4HuoHv1GdJxBVBgaBAUCAoEBQICgQFggJBgfahQADf9uFVPOm0UyCuDAoEBYICQYGgQFAgKJAC+MYkCAoEBYICQYGgwJCnQHzBoEBQAAUC+KJClKBAUCAoEBQICgQFggJBgSFPgQC+Q57FvX/BaAkKBAWCAkGBoEBQICjQSRQI4NtJ3I7vGhQICgQFggJ1CsTnoEBQoMMoEMC3wxgeXzcoEBQICgQFggJBgaBAp1IggG8j5+M8KBAUCAoEBYICQYGgQFBgSFIggO+QZGv7f6lf/OIXadlll+31i9x8881p2223bdr+97//Pe2///5p3LhxTdujsrUocNZZZ6V99tmn14fSdt555zVtf/bZZ9MSSyyRfvWrXzVtj8ppo8BAX/Xb3/42bbrppumJJ55oOvRjjz2Wdt555/Tcc89N1v6f//wnnXvuuemQQw5JZHuyDlHRUhT4wQ9+kNZee+1en+mggw5KY8aMadpunsw555zpySefbNoelUGBgaBAAN+BoGKbjPHqq69mA7LNNtv0AAr//ve/00MPPZR22WWXtNhii6Wll146ffe7303/+te/mn6zP/3pT+nSSy/Nym3BBRdMm222WXr88cd79GWsfv7zn6cjjzwybbzxxtnoPfPMM7mPvnvuuWdabbXV0nLLLZe+/vWvpz/84Q+57W9/+1u6/PLL04QJE9Lss8+eXnzxxXTVVVclClEH557tN7/5TXrzm9+cfvnLX+b2v/zlL5rz57vuuisZ57///W+6/vrr05133pnbOuXPa6+9ln784x+nTTbZJHEQ6t8bcDj11FPTuuuum0aMGJH5cvXVV/fK66985Stp+PDhCZ+V+eefP/mVR46JcY03fvz4tPXWW6f77rtPVXf585//nE477bS00UYbpRVWWCFtvvnm6dFHH83tnvGmm25K999/f+ZVVVXplltuyec64N8NN9yQfvrTn6a//vWv6Z///Ge65pprkp+g1G4uXXfddXneGAtg0v6Pf/xDc0cUc/6KK65Iq6++eir8KF+cTKPJvvvum3baaadS3fSo74033phGjRqVPvvZz6aRI0cm4+KBC+6+++4099xzd8+BBRZYIJkH5o32Uozzne98J73rXe/qBrj48a1vfSs/3xve8Ib0xz/+MY/99NNP58vI/be//e3MV+2//vWvk3P9dDAnzBPflU4hy4CVtk4qHIYvfvGL6cILL+zxtTl+7373u7t5Q0bf+c53pr333rtHv3ICUB566KHp05/+dPr4xz+ejj/++NKU6PVvfvObWVaHDx+eRnTpB7o3NfnH0aRDvvGNb+RWvKFzbr/99szj2WabLeuDO+64I7ezJfSyPhMnTkx4TTeRbx1efvnldO211+Z5QJ5feeWVfE7fax9qBb1+97vfpaOOOirbxyl9P3Tccccd06KLLpqWWWaZbNfKNXTwGWeckXX5Zz7zmaz36VXyWPrQu2yt+aEcfvjhpakjj7P071tHr6FAAcZk1llnzUao/n0oohdeeCF96UtfSgwXAaFgGaV6v/IZ6KRcTzrppHT++eenCRMmpB/+8IelORE4xoqCnWWWWTKwveCCCxKDSeBPOOGE9KEPfSgDGZE8hsw4jCRjC9BQinPNNVeiiAEaitANPKdnfPDBBzMwPvHEExOlwDBqf/jhh9O4ceMyWAIGTj/99AyOtXVKQX/K8Kmnnsq8qH/ve+65J51zzjkJ+B3fBVj32GOPdPDBB6eXXnqp3i1/5mzMMcccCY+AFwUQFon/8Ic/nPu4j/uZAwxWrnz9z2WXXZaNF+OIh8AT5W1c13CA8A/P8RXfOEsuV+dZTznllPS2t70tA2DOFmCknaHkIAHHQBhn6Ec/+lGvAN41Q61wLAAIc77xu6FvVVUZgBbZaOxTzvGO4eS8kNvddtstO6xADOfx//7v/xI5wn/F3GFgP/GJT5Qh8pFxpTfyyet/yPStt96awe7b3/72dOWVVybzAr91wUdzAx85uq4Hwukq7ebDmWeemSPB9JHI709+8hNNHVPwAK/JjWP9iwM4J598csKXUsgZJ7Pez2cyBWiuueaa2bkQkCBf2pRHHnkk4RcwxmHFL6stRffqUwodXJ939DpnxjzCp6qqst7Qx/NzXH3Gy7e+9a3p97//fX5mQFy7OQr4cqYAcnPC58bvW+7f7kffGc2e7VqxEpDq6/uwzxyN0aNHZ76JiAsWlWvQii489thjEznitHz5y1/uETXXhxNc5sguXUGucn0nHgP4dhDX55tvvvT+979/sm9Mwfld78UXXzwBNCK+73nPe9Jb3vKWyfqqMI7IEM8RSF5kkUXSe9/7Xk25AFzAFeUrsrvQQgvl6KxGig6godxEBdxPxOq2227L0TvRog022CBRBoRdpIOiBppdLyK90korJd4y4KROO5Ds81ZbbZU8n2iXKLbnM762Tino+sEPfrAp/xgSEVQGDj0oSc4QAOW8XgBOkSO8RkflgQceSBtuuGF3t2HDhiX3Alq6K7s+AC6iRebSPPPMk/T7whe+kIEYR8UzrrHGGmnhhRfOUV6A1jxZeeWVu65OOWqIb/oxyPgNbElr0MG8cb25BOQxDuZNb3PWNdNdWmwAMveBD3yg6VO96U1vynLASDbtUKvkMJA3vDAPVl111awnROjME3Rdf/318+qMOfDGN74xzTvvvDkKXIYRmQN8C39K/Tve8Y5EJo1LL1ih+fznP58+9rGP5S54blkc/6Q7lPuV76VtqaWWStpcr7+UiXxxh/ypqipHdNGy8SvT21tuuWU3bziqZICebOyLb6K4ZJL8LLnkknmFr/QTTRRVxmM6FTiiK8hm6eMoCo9PdIdzhQ4RiTQ2+ebYeJZVVlklVVWVgF33pqcBYIDvox/9aI4qCxSdAAAQAElEQVQ8V1WV1OM18PzmrpU8Do95QncYf6gV8lBkqKqqPr8eeqAN/nA22VurbuUiUXu2mMzQs9L80I9u1Ac/2GPRdnMDn9h3bZ1aAvh2Kudr35uRBFyAlYsvvjhHYkUCmylal+kLkACxPMsCVrXxYkV3RRBFE/RjuIoQAjCWvapqkrBXVZVzeX/2s5/lKIDrRJ7e9773JUDHctpee+2VyvWiw5ZpGFhL6O7pWRlUnzfbbLPcl/LedtttEy947NixmqJ0UYACpfS23377nALC0F100UU9HJeubvk/hwj4zSddfxgzESMGqeu0z/8iOMAUBV86fvKTn0zmGsMpUvzVr341ff/7388rDdrwFr/0Zxj322+/7AABThwl80nEULvIpOvxnkFnhH0XAEp7lP5TQPqIlRnFVQwtA8uxBHzIovpS8Em0ENhRx/EQFV5ggQUy2FZXCn5wUET8pDb5LKIsuqcPoyy3V9QeoKVzRo0alazoaBdxPPvss/MyruulLu2www6aonRRgPPTdej+jz6ADznrrnz9A36hr2gjHoqu6/t6cwJU8d55VVUJiMLT4qSoF3UW7RXUqN+DTrc6J1+f3AqiALFHHHFEcj9RYJFkc0qqHcD+ve99L0eFtQNqIpqAsjlDT5FtzpT7dnLBE3pYlJx+RJPjjjuumyRsH96WCnwEkosMuU6qmWi7oJHV1dJ3Wo5D4ZoAvkOBiwP0HSyDWDYT1ZNn12yJq9wKgAVALWOKGElNsNQN+FqqFJkhYBSeKMCBBx6YgBnRQUaQ9+lo+Y0ypGQJuAgVECziIApMwd577705ouHe6uWSGt9SPWVLiTvXDkiVpVRjixJRvtqiTKIABcjzF7n93Oc+lxqBzaRek/+VgsIpmbxl8hqpMCIaAA5nBjgCmhlI9XjtOcw1y7WMHz6OGTMmDwYIWb4TqWDMPSOQBBzpAECJHJkvVgWAY/OB0tcepf8UYCSlL4mqkl8OsBxqtKwbVCNaSZHzy/F0rqA/kMNRdV4v5BqoscwqP5fhZag5tPoxyOSfM0WHADv4Cnhr5+xYufFM0iLMBYBNW5SeFEAfOpNM92zpeQY4HXbYYTlAQAbp6J49UqLL8Ulgo7QBpFJNANhSV46cTzzGK06Q1Tp9pTlVVZVXcNgW6Up4yDG2LA/sVlWVRH8FN5ZffvmE/3KQ6fn6PCv36sSjQIGglCAFQMvB4JSihSAP2rGv9CugS07lfmu3WsO2k1OparvvvnsOemjr1BLAd4hx3sSXW1sKENjfr0jJUUoEQ2QNKOnt2rnnnjvJyaTILKtRcMAwAMMIiuABKwyfJW7RYdECdV62sQzuGUtupuUbkUj3A4z0k3PsXFRD5NhnRZsohOhuOXdUXOueDCnADYCVcbUPpYL2aKgACI1Lks2+K2cAQBQNF0mXb3300UfnF1ua9S91lCzgIhJT6iYdm/+1tInPALb5xMBecsklOYfQUrqrzCERYakU0hoALfzSppR2fLZqUM61Gd9KgyVS6TSOSola6jNUCv6WYjVloL+X9BJA0xwyH+gAjqmondWd+v3kCor2lnoyLXLHIalHAOvXiBriFaeJLFq+Ltfrp116Ej6TXefqFY6NOWF5tswR80DbUCuAf+GziB6HYGq+o5QgfBTV7es6qydWTABYQFlEvbE/vhrH3NAGeFmpEZFVr66x4DF5/9SnPpWkX1gxItOlX2k3V4yrTX/t5o65oVihw2Of63pfv04tAgX0KLvJTns3QioSeqAXkGsFDC/pWUElNlh7KfqIxgsayJ8u9Z14DOA7xLguYgMAlSLaNjVfkXCIsooC9RXxLWNSogAOBUU5VlWVGCq5pKUPRQmoAMVVVSWCC2xZuhSp9ayAquvKNcCuJbFy3niUo+aaxnrnlCjhBo6dD9XCs0c7haGi7Kb0XUXnRQfWW2+9RJECpCK5IjV9XetFQekEzXLEe7tONE/U3/wQueEQrbPOOolxrl8jUjhy5Mh6VY/P+My56lH5+gmwK8WhDqRebxoyB/wtRbrJQH8x4JI8MopeXOQ8kEU8qUd8yTeQO2rUqO5HMH/GjRuXUxGAGYDN7gCcEfOsdDSe1CT6pdTVj8AwPgNL9XqfPY8IoOVxjpK6oVikBhU+i8BzNvv7PUVoRUhFTPtzjaVz/OCEksv6NaLrovT4Wfglmmh1DV/VsxEij150BLjq15NVY9fr6p/XWmutnN5WryufgWPjNZsHpU9LHmfSQ1kJE7BgN0X43VauNjmkB8mJgJVAAf2rvV7wXb0AWb2+0z4H8B1iHAdAvVlbyq677jrV35ChATwJV38uBjSlMAwbNiy5VgRP9KEAZ0IGqAIpxgOEeaPAEPAlQkBRulZ7lP5RAG8Ln73lW4+U9TYCI2eZ0TwRRbD0DMx6Oam3a9QzqiLtrnPenwKk2L0DYAGcFc87NWP05z5DvQ+alSLndaC/b1VVCfAEegGdr33ta8mSKABTv5cosDpAudSL3tn1wx67CsdGFA847q/+KGN1+pEzWvjshSU6sr80sdrG8e2PDihjcmroXA5OqQO+pRgBt5yVUk/2pbaJEuPz6NGj80utQKxIfekXxxlPAXobgK3LFz1LlwtgSDU0j3pzHqScicjP+Cdt3TsE8G1d3kzzk1VVld+krapJxzIQ0CMnVzRBlE9kRpvtgSgvy5yMm/QIXqS8K+08eyDVUpyIsvwiS+X6Wf42lgiApSmK1MsqcrxEA2yJJJ3BErmIoaivZTZboUmBcF9Roqqq3GqolJnyPaqqaspn6QyAqmg/I0YZlgfCB1FDRsxcwAfReKBHH0CGAgWOnSscGNEFcwB/1ZViDpkXlmUpXJGh0iZXW16a3D/3kq/LOSrtcewfBaqqOZ9FB8ePH5+37pPbDvyUETmbci05G5ZE5eUWnsrplDpgizK513grvxqgsd2c5VJyWcZy1A8PraQ4L4WO4NiUwsEFqKRJ0AelXxynTIGqas5nOpMOtu0cGcPPxtHodnSXIlBvI3vSvwBa7zvIhbc0bvtJDovdAPCaXpf7u9122+UXC6WZiSDS835wAtCyMlP4LLJIlgFttqJ+z/g8ZQqQJ/qR7fUOizQSOdTlSsEjO+pwZqSjcDDIK3m3/SSeierqbxy5v5wR47DJdnjQRkdwVseMGZP3Sbc6492Ocq0+nVgC+HYQ1yW3Ay5SCAiEJS1fn2Lk4RM8BhLAkY/Hsyzt3sQW1a2qKonQ8jaBHS/BUI4Uob6KpWyASmTP0rrltC222CJvWk6JU9yiQqIHXmYBvFwXZWAoYImU4wHE4i3FWkbGQ8AGbwEZPOLw6KcPheqteVF854rIrRco8Nx5vZgzXqQwB/CWAS7tov6MtYiSnDRpMVVVleY4TicFOBl4TYakFpHpMiSDySCiPVn2whAnRTvZs1UVOaYPRPsBK6BV3rhcWv3qhaGWMz+lKCQQxGAH6K1Tb/o+A6VeNBsxYkTeBo5ObRxRpJ6ebdSlHBWpA+TcKp5zvMRvedX0urHcg+MkPUxEvxR9gGV96kU0WNSw7/lQvyI+1ymAB3Sld1usenJSOaSlj1138Iru5VySY+lsorW2FyTTpS89yw6TW+CYM1PayOEBBxyQ8JdjQwebJ6W9U48BfDuI83ZEKC9POFri9vUpTZEedZY45YkBRtoUUQRgiHdfVVUCjC2H6k8pqtevFMLKyxRt0McLEWU8hpb3KSpMyZZr4jhwFMBPyhTtFZGb+uh4A5yUNsvcpd0bwHjqLe1SJzVFFNix1JUjw2icUijo0gZEmydyN+Xulfo4DgwFROlFfwrt61EcAAgwKW0ieOTYnQFfzq/+VTXpjXq7rnBOiwOkX71whOiPKfGR04vnDG79+vg87RSgTzkqhZci842jeSeDI9NYL3JIpwO+orZ4bBzbmAFA5olrRIu9c0E3a68XDpE+9QL4mkOiwPX6+Nw/CpAnUdxCZylMghLlanxiN/FeimDR1+SY/S39HOlZ8ms3D3xRVwq+a3cfEWGOKRtc2jv1GMC3Uzk/CN87bhkUCAoEBYICQYGgQFBgMCkQwHcwqR/3DgoEBYICQYFOokB816BAUGCQKdBSwNd2OfaSlM/USBcva6i3R5081NIud0Wuqa1W/KqJ/NHSFsegQFAgKBAUCAoEBYICQYGgQKHAgANfSduAqBwiydb1vRzLTR2BXPkq8orkoPj1JnXe8PcSlj714mUNvw9uH0FvOZY2YPi0007L2/F4kcYesd5aL+1TewSwPf/UXjfN/ePCoEBQICgQFAgKBAWCAkGBmUKBAQe+krG9qeitUNtqeKO02TexzdV3vvOd/POE9iD1duiwYcOSNx0lfTdeIwlfAr+tlepttkvyNqQ9EP16mG2cJIPX+0zNZxt32xpoaq6JvkGBoEBQICgw7RSIK4MCQYGgwMyiwIADXw9eVVX+IQNbZNlC49prr031f7bRsl+st4q9Pe5tRikLAKwIri2SSn9RXmBU5Nj2PKVedNgvlNhKyS9YSX/Q13i29rE/nrrHHnsslf0rXWvLJduCiDDb5kmUWJRamy1FNtlkk2SbIHufGk99lKBAUCAoEBQICgQFggJBgfanwAwBvoUsUhj8aIG8XBtoqwc8yx6Ctl1Sp9hjUrTWDyHcddddqnIR0T366KPTFVdckfyaTa7s+gPM2ocUUPaDDDZgB3ht3m8vuwsvvDD54QTbfMgbBqq7LkvSGOQCi+p+61vfSrbVuuGGG9Jrr72WjAXsAtrSKeyR6ZooQYGgQFAgKBAUCAoEBYIC7U+BGQp8/WSePR1FV22yjFyAqWisn9izx5w6ZfbZZ88/jCDVwbniOqB3p512SkceeWSyN6l6BWi29519Cv1K0BFHHJGkV/hlGykW9i70AwnyiP1CjV88cZ3cY3uP2gtRu035ba4vcgyoO7e/oT3v5phjDpdECQoEBYICM58CccegQFAgKBAUGHAKzFDg62mByPnnnz+JyEpPEKn1C0M2Otdeig2dgdly7njZZZcl4NOvggHJfnVEfV/F7g7uZyN2aQ82efdDCXZ7UOQW2+jbeDbk9zKcKLDS17jRFhQICgQFggJBgaBAUCAoMPMoMCPuNMOBL3ApfeGaa65JflbvoosuSl5eK7/k1deXkgvsRbWqqvrq1qNNyoLr5Axr8CslfrGmqqokzUJ9SbvQXsB2VfX/Hq6LEhQICgQFggJBgaBAUCAo0F4UmOHA1y4PfsbUT1hKW3jqqadSf3/mEGh++OGH08svv9wrVeXk1hu9KPf8888nL7CpB3YdRYA/8IEPpKqqkpfiAGT1otCiytIknEcJCgQFWpkC8WxBgaBAUCAoEBSYdgrMEOBrL9yXXnop747g0aQerLHGGumHP/xh+uIXv5ikNYjKepkMAH3xxRd1SwCrHRZ+97vf5XM7LHhhTS6ul9PkBovYaneuTe6uY4nibrfddsl4XmwDiuUWu5dcYMBXvvD3v//9y4Io1gAAEABJREFUDH5d4wW35ZdfPi222GL5niLRdnXwbPKRc2X8CQoEBYICQYGgQFAgKNAKFIhnmC4KDDjwtTsD8Cm6u8cee6QFF1wwifpusMEGacstt0z2+LUt2ec///nkJTQA2R6+cnNHjBiR7KRw6KGHJjstyO211+9NN92UvMBmuzGRYy+nPfnkk0mesG3Rrr/++rTiiitm4Cx/1y4O5557bnrnO9+ZDj744GSf4JIffNhhhyV7/rq/ZwO0jznmmOTlOpT0Utt1112XrrzyyhwdVhclKBAUCAoEBYICQYGgQFCg/Skw4MDXTg7f/va38/ZgIr9SG5Dpwx/+cLKNmM8f/ehH0x133JFEbxURVrsv6Cs1QeRXhLiqqiRNQrrDr371qzRq1Khk67K999477wDxi1/8Io8BvOoDEAPZ9g8W6ZXG8KMf/Sh5ua2qJuXwvuUtb0kHHXRQsvcv0O2zH87wXMqILvDtHn54Q/RXXZSgQItTIB4vKBAUCAoEBYICQYF+UGDAgW8/7hldggJBgaBAUCAoEBQICgwgBWKooED/KBDAt390il5BgaBAUCAoEBQICgQFggJtToEAvm3OwHj83ikQLUGBoEBQICgQFAgKBAXqFAjgW6fGEPss99kOF3Kt2/mrycf+5z//2c5fYYY+u7x4O5soM/RGM3hwu6/YaWUG36ZthyfPQ0EWvFsRO+b0PQ3Rhyx4B6bvnlNsHbQOfqyKTA/aA7TBjck0eWh1+2bTgVdeeSX/FkIbkHWKjxjAd4okas8OQJDt4yZMmJC85Fe+xU9/+tNklwy7b5S6cnSNX7a79957S1XTIwG48MILk5076sUv47nA/Yxz4oknJjtsPPHEE6q7i109TjvttOQlSAq+u+H1D9qfe+65189Sso2dlyEJX3dlfOimwNNPP51fFsUXIFiD7f7sjOLFUefNihdGbft30kknJS+HNutTr/My6QknnFCvyrw5/fTT0/HHH5/srmIOlQ6M3iWXXJLMA7uvUPKlzfGFF17IO7v4rHDS/NCN7+M8yv8oQKbsgkOW6nLgheCrrroq4ff/ek/6hF9nnHFGpr9fpmyk/6RePf/SC/h46qmnJltF2m7SdXbU+cY3vpHMlQcffLDHRebRmWeemeykw4j3aOw6sTUkme76mP8799Kx+Zor4k8PCtiu88Ybb8zbchbgC0TiR52O5SIyb2/6oou9RM5BKu31oy0+i24+66yzEl7U2/Hk6quvzrrdVp+epbR7hmuvvTa33XLLLfkF9tLm6Nr77rvPx1wmTpyYbU2zZ84dOvwPOb711luTHarqdpDc2lkK/foiEVm74oor8qYBZ599dqILyGqza/CL3S9trr3gggsSOSe/pb4c/bpuXc7pF9ebL+Zb6deuxwC+7cq5Pp6bsbr88ssTRWV7Nztt6A703nDDDem4445LQIm6Uhg87QcccEAGMKW+2ZGgAjSMMCGl2C699NJEUAkFgaEACfPFF1+c9t9//1SALEVuSzkA6bLLLkv2VK7fww+P/OAHP0hvfetbu6ttawfAMZbdlfEhUwDfAMuPfOQjya4mVVVlvgNJ6Iw/uWPtD+UIFNtuEC/nnnvuVH7BsNatx0fzxX7a++67b3c9Pn/ta19Ljz32WN6je/fdd0/6lA7nnHNOotjf+MY3JtsV2i2ltFH6eO9HakrdQgstlH/cRl/8LvWdfiQzt912WyJvSy+9dCq70EyYMCHdfPPNab/99su71NTpBOjiBXnU//DDD0/Aa71P42dzZdttt83yjy/zzDNP3tLx5z//eQYw9Angs8suuyS6oly/1157JYbSnKMHSr0jADZu3LjuZ1ZHnh3xn47wOcokCqDx6NGj8zagH/rQh9Kss86ao2x33313Ovnkk1MJLkzqPemv+cHpwD8FL2abbbZJjQ1/AWpyS/7ocDJbutDJY8aMSeaOXZjwc5999kkiz/oAY9/73vfSAgsskDjA9L56RcSSrNf5+b73vS/LM6fY3NUvyiQK0MEcTLyynautV7XQx+zc2LFjmzqz+ij0PrCLJ+TTlq177rlnwn/t9fLss8+m7bffPnFoSj1H9dFHH828pidKfTlyiuo22A+A2Y2LM+TepV+7HgP4tivn+nhuk59havyFvIUXXjj/UEdRZPUh/KzzUkstlfczJpT1tvpnStbEJziEQ0SJkK699trJ+AytqAJQZUs4HilFSsCNQ4F7vs022yxtuummibCqL4VRZXzrQMweyyNHjsyRK55n6RvHlIBboNcvFhZ6oNcSSyyRT/Ejf6j9ueeee9IRRxyRf0wG/fEBaK516fHRfBAxaIzEMmYUoSig/bb9EIxoE15zYChl88IP0TC0Dz/8cPe4jOT73//+vNVgd2XXB3tre3ZjMqZdVR3/n9Nh9ca+5fUtFv0gD1o1ygTwQTbJtL3Tt9hii7Toooum888/PwE3zQiKl0DQuuuumx1j15lXtocU5QFugSCOrL6iS8bBU+C7yDOnRX0pgJRxgehSZ0y6afz48YnxLfUz89iq98I3MoBf5Rmrqsp71uOnoEapL0d7zq+xxhqJLlYENkqwo/RxFJGdc84502677ZY4S/Qz3axNEQm2uobP66+/fqLDbQvKgTUHgWb76W+88cbJ3OM8u06h0zk5yy67rNPuQsbNJVuQmpfdDR3+gX5kCzmynJtCDnrcbw5MnDixVDU9cpDMEfPFipvoLb3OQWajy0Xk/cgjj0y2cS11jq5ZffXV81zgAOGfeoUOX2uttRL5d67MMsssWVcbp1HGtbdbCeDbbhybwvOa9BQSsFIHjy4zeRWfG0tVVfmHRqqqSn39c71fwaPQRPKUEs2da665knYg1ZHQUawEuQiR5zO+dgaQMnZOKQLTfrzkXe96l6oeRZTBj5dYbu3R0MEnPH1LVRRYnQxVVfXKSyBJlHa99dbLUTiG7uWXX059/ROF4CxZPcC30vcLX/hCmmOOOZI5IEIINAHdjDPAjdd4XFVVkmeuuJaSZSSXW265PF/U1YuIoHkDcNXrO/WzNB+0AIjqNMALpV7nM6MIxHBkASC/lMlIihYWedOvFE6JeURGFWCU84KP+uAr46wf0KuPKJU2PMZrz4HXAJJ6TgtniFP13ve+V1WPAoABT4B0j4YOPrF//XnnnZcDAlXVUw+jb1X1rEMqdBZ9BWJ33XXXJKVIfbNCVjkceCl4IY0BiC19H3rooZwWp12dCB+HGB+d43V5Djyns9XTKRzjddZZJ/8qq7p6GTFiRJLWNKUUuvo1Q/0zx19qFzta/67oS47qdc0+z921SkcuyTb9i1cCD/iiuEYAygqMedFoU/GyqqpsJ3wm2+QdH41N16eGf1VVpRVWWCGnR0wJmDdc2nKnAXwzS4bOH+BCLg6FBYTM6G9GaCx5+ZEQRrbcT6QAwNp5553TaqutliPJ2ix/EVTKEgBiQClvxl2bJTa5v5ZxGF/XlOIeDDSBLnWdfBQFpCTRrL90EL155plncndK0bKq6E8jrXOHrj+AjIge4yXi1FXV6395Y4DO/PPPn/TlqDCuxjAvGV6A1/wEbqVIWAblqGkvA4sqUMRWLYoSL22deBSRAR4bjVdvtJAPLK2k7vgOGzYsAb3aGq8zH+RWWx7HGxGfL37xi0neaKG/tArpEjvuuGPyK5wcHeN4LrzGV0uq5iKdIBLsCHCbZ3L66YkynmtFt+QnN3sm7Z1W7r///gRQiKr297ujnYielTI8wB8R4L6uB7BF8OlSQYnSF+iilwugVc85wUtzQ2DD82kH2uhr58A60KVOYMIqX6OONnc5XuaEcTu9SBmxClJSHKaXHmwowEqvsgkCX+RXHVDcOD7Zow/IvpQGz0IfW9XbaKONcuqa1Bq8r/PMfDDnrOY1jtlO5wF824lb/XhWE56BoaT60X26uxAKnrzoUn0wER3eIcNn2ZonqZ3AWf6meC11+rlokUsAyc9OS5tgAEQItLmmFIBKdJLiLnWdfJRH7SfAp4YGQIh8LT8rDshYFpW3Cfg0G0c7ZYr2zdpLHYMJ+MrnVgcY+TVGRhCI8pxyeEX1RXopXc7N8OHDk3QJed2uUxhZQI1SNp/VdXKxfMngTA0NRO2U/lzD6WSA11133ZyPT+44Il585IAYAz9FC5dccsmcr33RRRepTsCPaOMhhxyS1HGkACCRR/JsCbbMLS+6assXdv0BmoEoKwpdpx3/n97mLE4NIfCFUyqdxPL1mmuumaQqkMfexgF0rNqxEfI7ASR96XCA1fK5iLDAhCiw9AUpNpxazqhIoyCH+3pPQzunFpDmtKrDd2OWYp7Q21YjSl0nH9k4enigaGBFiGyyt8YkZ0ArmW2mB7yrMW7cuMQGCFDp4x2AVVddNckxls4AQHthkhNtTAVAVq+v83YtAXzblXO9PLeICmMFPPTSZUCrLZUDJwBtfWBLOBQl4wnciOpRelVVJUIn0V5yvyUV3uMqq6ySLxcBpFgtm4k01hV4+U6MZe7c4X+kHzB8U0MGHj0Dx1BZJhNxX2CBBZq+FIFH8kqVvu6B/wyivMA6QJbyIvokqkfBiiYyliL3XpzxDHLJ5KmaA6IW7iPyZFVAZMF8VtfJhZMwI1dvRPuBUDKM9owbg8nxAITQXvR4vfXWy07KSiutlESsimxa1QFuOS/klqMr5xQ4ssJgXnB2zT3FeIr55370gvNOL+hQdNzU0gId8ZDjCajIIe1tDNFXaUpyvs0rkT196eAxY8bk/P/FFlssL2kbZ9ttt9WcyKlr8B44Bozp+WWWWSa/JGU+4DN+2/Wnrqd9L/JNV+TBOvwPx4KTMBBkoB+syOATOhuT3hV46s2Rwie2mU4mv44CExxsDhQQLTebjRGpN6Zi/Kqqkud33q6lL+Dbrt+po5+7qqqcZ1UM1owmhpcpRo0ald/+brxXVVVJpIAXaTkUmNGHd0nhUtZlmYz3S8lSjIwso6kf4+saRXTZUb1jpxc0pJimhg4jR45MXqooRqmqqpyji+aN43iZRTRAtNZymWVMeWAieV6k0N850Itf+qgrpaqq/FKFOSBnl6IHtEUTLcsO61p+Fz2gnC2ZMvyuBXbxOviMGimnjXBmJ51N+a+I3sILL5y3N0JH9AQ4Rd3wqXEERs6KS8nV1+4a/KnzoKom6RZLoXjJCOqLh+aio3xQBlc+stUZzovlVnPANaJ+rlHKsxW9oK6TC3qi1/TQAO9F7/Gur3GqqkqAMl6ZF/rSx9tss03eRk0ut4AFp9fLkdqrqsr63D04S4Cu1aCqqhKwrZ4zw3EiywCZ6xR63fxwD+edXsjC9PKa/KC7FRs2uC6rou8CT3SyYicPKzKCTu6LD57BnLOixI7Q61VVJSsPZJau0IfuKPzCR5/x2bFdyyzt+uDx3M0pQLnw1hkxgtHYywtnJr5jYxuwDBABJQBNaZd2wNOXw1fqHAmdNAdvpjpX3FP0Tr4QgGOPQMbO0lpdWI1THcIAABAASURBVIwv4gsQyw9zrWghZQskETbGktBqUyhbCr0oanWdXBgtS5H41kgH0RU05kzU26Qf6M/bd8Qn7Z/73OcckuisF47w7uCDD06ieKWIAJhfojlyAxk3qQxSLoxl+U4kt4DiPGDXH/PHc1oSNQcoW9EF88J9tNm6qUSvPTtFLE/d/bqGGMT/g39rjqN0oGJ06k+EB+rrIINMibySTYCWnDKOG264YX4ZkYzLo0d3AFd0V2qSqC2ALWXFdSKAwIxUGMvhrsNLY6233no9thz0DBwqvBPF94yMpyiyeWHp1fUAuTaFnjEXrDg47/Qit5e80s+NtEBftMWbeptoHFnmOJIZqzReEC46cvz48Ul+tWvNEStvQC1emFP4vfnmm3cPyS4APqLAVvMOOuig7rbywbVS1zwvp1W9Fx5FAeXze3GL42NOaVPwX3ADkHLe6UW6l51R8LWRFnhAL6JlaXOO5nQxve4679HQ13hAxuhdffTVr17YUVFeKYZkrowLELMBW221ValKbIF6UWTzinNTGvHRven/UteOxwC+7ci1Pp6Z17fyyisnCrJRgVqeGtO1lCWnbocddkgUXxnKhP7yl7+cCJP9NeXa8ui1U8ZyM4FR56UAriIEPMNSx5ACTkCSpRf5m5Y9gbTSx1EOIKXLGDtXAF33kSMm5cESjEiSNoWhtkRXAJK6Ti74jN/NHBIGi4Hz4ou8y0KnESNG5DxO4FVKiVwuWw0VRcaIcnIYSjmAQEkpUhOqqspbGRnPS1AUqbfKR40alUZ1FbnDwJH2UiyNGt+yqDrRBjtR4KOohHm29dZb5zeMtZsXjvLV9PW5k4sIK1BTN4TowegdeOCBeZ9VsitCr14EFV2BD3Ju+yqOBtlh9AAXKy3ALEdV5I9esHTtXpbLGTv5ohwPjiw5VyyDMtr6uVcpjLh56JpSx8kBwgAhecAAvGcq7e43oms+mlelrpOPUpCAxbpeRg9AhxMqMme/XqkE6hXBAFE84NV+3nQxnmtT5GvSpWwBJ0levQguoEMuyR3Z1BdoUk+eAVRzS3qDtnphR/DRSlCpB4I9v3lIt+O3eVjaBUDMqXpdaevEIxBK7wG59e/vRVZ76XM8BSk4r9rpY/aWEwp4soXso3cw8JvuZW/pADJddHY54id9S9arqjJk3lvfap2tCLXnyq4/5hMd4YVJPMuBra56/8k5uSbLztu1BPBtV8718twMlUkJMPDw690YLtEaQJbnL8pW2ilcuXkUFGBsibsYJEqN8bIUUvo7UppeqvC5FPennEX+gFigSuSIwS19HC15M86EyHkp+vrxDUumxi/1wJRCGZe6Tj+KngGaeFOnhUgb44SXwI3NzUs7w8MpYfTQmJGjhPFNH4ZR1KjucKhX7P5AWftMUToHXkQbShEpMJ4+pVDMltPNyVInmuvFCYoeCBMxKm0AO6OqlLpOPpI7BkwEpk4HIJMxxBOgRRpLaTcHGFAReU4OIFKigORaNIixxHeFY8pJJXslfYmhNB69IKrPIcJzwAv/tZVClwBU8kdLnaNosjEVDpgIsnog3vy0C4HzKCk7lGjIoanTg3ML4HiBSXROtL60CxzYfg6f8dgOOnWdCjC7BiDGf8vdALSXz+zhbRWmjGWemSteQrQFFnBbl9nSDyDS17wpdeYUwOTlWbpFikRpc3/zQm54qev0I1kVqWWL67TAT++2CFzJuy2gkz629zrnhi2lT8m8QFXRvXQ9R1N7fUyfjWUO+VyKQIT5JsBR6hyHDx+e5OYLgHGIix7QBnDvtNNOSR/n7VoC+LYr5/p4bpEyoAH4FC0oXQmEZdBS6oqrqqq85VhpY9iqapJnSPk5r/c3JhBFKftcLyK3xmHk3LOqJo1T7+O6xvG0V1WV80IJemm3dGNfUpErBl2/KCnnVQO1lB+jKNqeuv7hF/rhgeJzV3X3f+34qQ2vqup//MEvbVX1v7pyIYPqmpRSvrdrnTeWwrf6dVXV+3juWVWT2i2tcc4YZeOXMTr5CDQAucBnPUJE/uq0d16nk3MyqJC30lZVk2RMe70OvY1nvtR5iD/qjaNPVU3iVbnW0Zyq30OdUlWT7uXa0m6emrNAVx0g6d/JpaqqJGIqCueNfJG7Qg88wYNSSj0+oa16vMGH0uZIZl1bVVUPmXWNtqqqdMsFf9STf+PmyiZ/zIfG++hmPpXrq2rSuNIfpFqIOntG/aKkBHRK8ZOeIE2s0ARP0KkUPNFWVVV+dwftneNP6VM/ul57Y8HTcm1pw8MyfqkrR33xEk/VkVnpk4JPHNiqmsRfbe1YZmnHh45n7psCJrONyU1sSyR99279VorBUq1oRus/7cx9Qt44Y0kh1Q3lzH2KgbubKKBIpGjTwI3a3iORYxE2UV/L1e39bVKyVGveykMGytr9+wzk8wMxInPkAJ0GcuzBGItesiTvvZPBuP+Mvee0jw64yqX1UrG0gmkfaeZcCfhKQZNOQXZnzl1n3F0C+M442g7qyCYn8DsUDAtjINfMcVCJ2qI39+KC6AFl2qKP2O/HstWZ79PvCzqkIzmWKy9Hr92/MsecPFvqbffvMiOeXzTw85//fN5tZUaMPzPHlAKD1zPznu1yLxFVzp8Xtlv9mTnfUusEJKqqvaO9aB3AFxWiBAUGgAIxRFAgKBAUCAoEBYICrU2BAL6tzZ94uqBAUCAoEBQICrQLBeI5gwItT4EAvi3PonjAoEBQICgQFAgKBAWCAkGBgaBAAN+BoGKM0TsFoiUoEBQICgQFggJBgaBAi1CgG/japPyoo45KUYIGMQdiDsQciDkQc2Dg5kDQMmgZc6B15kA38PUzk/vtt1+KEjSIORBzIOZAzIGYAzEHYg7EHBiKc6Ab+LZIBLpDHiO+ZlAgKBAUCAoEBYICQYGgwMymQADfmU3xuF9QICgQFAgKpBQ0CAoEBYICg0CBAL6DQPS4ZVAgKBAUCAoEBYICQYGgwMynQCsB35n/7eOOQYGgQFAgKBAUCAoEBYICHUOBAL4dw+r4okGBoEDrUyCeMCgQFAgKBAVmJAUC+M5I6sbYQYGgQFAgKBAUCAoEBYIC/afADO4ZwHcGEziGDwoEBYICQYGgQFAgKBAUaA0KBPBtDT7EUwQFggK9UyBaggJBgaBAUCAoMCAUCOA7IGSMQQaaAhMnTkyXX355r8M+//zz6aabbmra/tprr6W77ror/exnP2vaHpXtRYE777wzPf74400f+k9/+lO6+OKL05///Oem7Q888EC6/fbbm7ZF5YyhwN///vd0/fXXpz/84Q9Nb/Diiy+ma6+9Nv3tb39r2k52H3rooaZtUdn6FJgwYUK6+uqre33Qe+65J913331N2//yl7+ks846K9H/TTt0dOXgfflXX3013XjjjemPf/xj04dgj7X/4x//aNpOhz/22GNN2wajMoDvYFB9EO7JkOywww5pww037FHuvvvu7qf54f+zdx9QfhXVH8DvWBGkigoKGqRKkW6hBqlSo3QQCCDSexOCEHqH0ASkhSYgCCjCAUVJDhYOIlKUA4gQUEAUj6hHD0eP8t/PJLP/l192k03Yzf5+u5OT2fd7M/PmvXdn7r3fe+fOvPvui1133TX222+/ePTRR+O///1vd1nzx7///e9Qd/To0bHNNttkQfX66693VyG8brzxxth5551DHYqsu7DrB7By7bXX5vLddtstg9Su7O7/f/zjH4PwPOecc3Len//853DPfNL1R7n3GT9+fNdZhPP8o+vPa6+9loUm0EzAuldvCrir+pD9//LLL8ell14aTz755DTviB6nnXZabLfddqEf/vWvf01TR95dd90VBx54YBxwwAGBrtNUamS88sorcdlll+U2L7/88u4SgPTkk0+OHXbYIa688sr4z3/+010G+Lj/l7/85dh7771j4sSJU405/W4MXnXVVVlRlnMNuPaNN94I7zl27NhQZgz+73//Uxz63Ti86aab4s477+w+z4Ud+AeYfOCBB+KCCy7o8en181e/+tXM22jtnXuqiCatMmDbbbeNa665Zqrq7keRHXbYYYFH0VkF11988cWx0047xcEHHxyPP/647Jxcox/UGTduXLz66qu5f3Jh1x99QnE+++yzcckll2RgrH5XUf5vXOJz/e1dy3kuHMZ/8NbXv/713Le+ovX0009PRQ1j/sILL8w85ojOU1Xo4QSd8dtRRx2VZfhLL73UXavI7uOOOy7L4e6CKT84FIyX1ufAj8bAgw8+GFdccUUYB/KmXJblsvKrr746G0bKnCsnF/Q3WX7IIYdkeePccyofasl7MQ732GOP3K+FH1rfE43QGm/Th731rXqnn356lr/qo32zLfqcjN1zzz2D7myWkdHnnXdefg7P09TX5CxDVfrGN74RZCyQW67Hz0DxE088kWWIPlO3lONvMlyf08flvJQP1rEC38Gi/Gy+749//ON46623YoUVVshpqaWWyqBotdVWy0/yne98J84666yg6DbccMM45phj4ne/+10ua/1DYGLUj370o/H+978/DjrooDjzzDMDWHIP1p0BvtVWWwUmOfTQQ6MISeUY85e//GVg1E033TR23333bu/tCy+8EKuvvnoG1muuuWbcfvvtse6668aECRPyYzhfb7314plnnom11147jjzyyHAfwliFL3zhC7m9D3zgAzHnnHPGSiutlOsoGy6JINJHgC/w0fre+otAO+mkk+K6666LE044YaoqhNnhhx+eldfGG28cp556anzwgx+cqk7z5LHHHsvK8w9/+EOmNSCrnEDdfPPNs9Fy7LHHZmVHwCqTjBmG14knnhif+cxnMsB+6KGHFMXzzz/fDa70P+DtWa6//vpczmPoGvlLLLFE3HrrrTFy5Mj461//mkHumDFjwnMst9xy8bGPfSx23HHHcJ+iaHMjHfLHDAawqK+8d+tjeyc8Z7zjb2N++eWXb62Wz++9997Mp+qVBFgtvPDCudwf7RkTFO0aa6wR48aNi4UWWkhR7L///vHiiy8GY+ZDH/pQAM2Ft++555749Kc/nXl5rbXWymNr1VVXzTLAxWSGc78XXXTRYHytv/76TjNA3muvvWLffffN/O6dt9hii2xM5Qqz8U873Qovo4OjcWz8k4uTJk3qfkx0w4PHH398kKscHN2FPfwgg88+++wApo0VHlayXFU6AMABsOedd95s+Mov6amnngr3Vu8vf/lLyQ5jBj+vs846seyyy8YiiyyS+ZkTxf0ApkMOOSQAK3J77rnnzkDr3HPPDeVmdLwX0OV64Mw5wNZ9kyH0g3zmCEATRgJdix/o0PKazz33XHzpS1/KjqFddtkl9tlnn6xvS3nzyDkBFJPpjH19W8rxJ2NYW5wdm222WQCqpZyzi9xkVOO/7bffPshl5bfddlusuOKK+ZwsUGfllVfO/KqcDnf+zne+M8iQo48+OjbaaCNFQZeTwfSNcWG8bLLJJtnZkivMR/0uAAAQAElEQVQM4p8KfAeR+LPr1qywz3/+89nLMrbLOyYZnJTWe97znqyYMCGmIAiVfeITn8geutZn5F1wzfjx4zMgYsnxGmDkArIWWGCBwNDau+GGGzIQKRYoxuZRwIQEuTqAjXqYb7HFFgseJcKVEOe5PeWUUzLI9Syu42kiEO/s8uRpF/N98pOfVBwYlULHuJ6RpUxJ58Jh8meeeebJ4MGx9ZUZHb/4xS+ycbDMMssE7yzQSOGoq3+OOOKIcC0lC7hSgO94R8+igqeRR5ChBCwxWuaaay5N5fGj3Pj41Kc+lT2EQDQjhaLjUVa2+OKLZ+8/sAZwu9j4A1QJ1Jtvvjl7KRhIBLhyINg4pjiNSYYQYDXffPMFpWqMENgMuh/96EcZWANtc8wxh8s7Kr3rXe8K9DOu0aP14RkclBvvPMUDtDAGWuuVc54mtJMYjkAVwKqcQaQPGD9CSMzozD///OG+PHlmeihVfcZIZvhqw7X6hPJGc4a2sYQHgVzlAJmxhZ95GLUJzCsDvBhHZAfFbSqcZ9rYUj5cE6CJHgDH+eefH+Qk7953v/vdTBJHNNQXACNZRy7irVyh5Q+Aqq52yVaeezTXF8KC6AEA1lgDUgFWBnRpxj04F3gsS54jvgKa8CdQjb8//OEPZ3CdUooFF1wwG8UjRozIoUnGEgeLMZFSCrKIocUwU/eOO+7IzhQ8rP2hlsjbhbqMSXoL/RnmDNASKgD04gfAkYxmLOC1lNI0pDBrxmHAm4uODBd6kDGsnwBZOhZ/SnQuZ5QysmPChAmxwQYbZGOF/CYLOB7caNSoUdlBZUzh/ZRS3HLLLYFflRtLZC3j2JjiICE3lNHlY7vwxrvf/e4gw+ls/OxdlQ9m6lmbDeYTtd29O/+BMBarjHDyNrwpDz/8cAYDznllf/vb30bx/gIuPMI9CU8ACBNp07XOMSVvEwWdUsoeW/fgGaIECUrtqS/OBxAHnp2nlDJIA1zkU7ymWDE5wQAAEZIFVAPEgBsGK8pdDCdloD2CU92PfOQj2fOA2ShRZTVFAL4MDnRFDzR83/veF2jsnII1JUUgU7IUUKGt8mYiqAlb3j0KktI0rtRhkOgXyg0QlQfYEoKEqLFhWhPAVvbe9743jwNT56bKeC8oB8KZMKcMlfGMqA84KTeujUHtmB6nOEyb8oAZB8ad9zXGeTlMu7l+KCUg07uPHj06e1GL0urpHYHJZr6+wJ+Fn/Uhr/LnPve5rOAoUHzpGmBGv6K1c+OG9wh/MVrRmAFM4aF5Sinuvvvu7A1Un2JUl3LVhn4qcfpAsrGj3409vK8+ueDa4Zo++9nPhjFc3t9sV0opG6byAF8AE285R3e8jW+dtyagBFACgMyeAb94Vz3AFzDGz87Nmi255JJx0UUXOZ1uYnwycsl3esS1jCeymkdXu9rn9dO/gBNe1scaNn7IC0YSHjaGyKTybOoMpWTmgzzTf94dcOVwonu9p5kx/IF2gOz999+fQ0eUtaZiXDJGlZHp2sGLZB6diceVSZxg9D1+pkfxOrlPZkr6Tp66rgWM9YdEr3tmfaRcfXzLYeY6/AsgK/ObA0rdIsM9D1CvfDBTBb6DSf1BujdgAWCaBvYIPD4YjCJzLs0333wBmPg9veQ6wskUBmVV6mIWMUW8gPKBE2UAsilwoRDOJYAck2AQ9Vj5I7umreXxIqyyyipRgLK6psAIDnVN82F0oFtbFDgr1fPzkgmDoGSV1RQ5JpNibNKCR8+YkCi5pZdeOntoKDMhA2eccUbom+Y1fhNwlJ2+IGgJch52wJnSA5iKMFZf3+gzoFd/AsEEsDJJGymlHK/LA0XQ8vKmlIJiNybUUdc4MPW25ZZbBgCunz239lNKAQx88YtfzOEu3k85IZ/StB4T7XVyAmJ4hXiHAFnTnnhyRu8EjPAm4iF1gRLT3oAJJYaWZlPEer755puB5vKafYa3GBOUN+OFt8jUqbY9l7Zco328zxDiXaLU9YkpcWXqAD3eIaUUxiggoH3lNU2mAN4BRs3EyBECwwvrd0nALyOknJcjAxboxUv6F/8BPLx/DA+GIgOz1HfER2YT/J5RMjNE9n784x/P8tqMounvlFLoX84I3ke/5Qtzw5vR9Y/8Bp6MCeDZkdz3jF3FQ+4/55H3FzLCecATjjbkIqPeLJw89Gds8qzytAKercQAJptyVrn+FQbGo4s/8ZZ8SZv4j4zAs+LC6X7eWPc1Y1Taw/P0LYPZvRm69K0+1BYHlfdQR1/pN/peGRnuHRjkKaXsiGK4uUb5YKYKfAeT+oN0b5Z2SinKAPUYBE8ZzM77mjAVQUVhYaJyHS8wqxUwMYVVPBAsP4KbNxFjigPiYQJygFVtEASEN28fhrVIjodA254Zg2JszMvjZ+qkMBNhy6JVFzPvsMMOgdmc1zSZAgTU5F9T/yVAAVbT24SZ+Dy0Jgx7Un48MnPMMUeOpUV3U9iUq6nO0nJv9zKVSria+gZcKWpT8PrMGAGShLUAUkAUBWlaliDVtmv1rfunlIIRR3E4N5YJYsCLsHbufcQEz8oYd792ToAGD41pY8qRAcIomdEz87YBOhSZuvqYMtSX6MWI2X333bPn19hgeOBRfcZwVV9cL17ULxIlB9ToM55Kxi9lrn0Gkj7zm1LkzdRnzvWbe+o3RrlZAuOQMaO8pskUEH4kvIwRNzknMsgsv6d3JPeBW1PdHBXkrGQamjfWtb3xq7LpJXzFEBWPjOecr7feelFiuI0Bv+XpX3wOJHFyaNc4NBaAMs4U8r+cKx9qiXzDH2JfeUWFbHE8eE+eWnpw1KhRAWjiN154OrTUUa+ZZtRv+K1Zv/mbLJUYqQxocriUkw3GiH7h/GA0CRkr98PDhafJWe+j31zvHTkfyF3ygAynq+l65YOZZhX4DuYz13tPhwIsd4qnJMClWZ0Xj8LiUSneszKIgdhS1yDHfOW8p6N7Aa28ssVzU+q5lifCCm0eHlOc6ruXqRuMSPDxQJiapRQpUNcrA4zEZjonRFP6f0+dch6PEnvmXD3Jb0oT6MaArpWUDbXEs1b6GUAU1jGjd+RB0w/NeqWvCSdKB4BBM7TkmZDPe9u8xm8KDDCh1FKaHMdnGlt/6mf5vBXqSu6jfUqPIBXLzaAxDsQv8iQCWu6rvmdw1M8EZjmXl1LKXiSA10IYQKC1PKWU4wTFmaWUIqUUQ/kfuuE5C2EAnOm9q34QA8g4SGkyXfQP+UDZoaX2AGoGJoVrXAhdUo9CE6vP4whwq59Syn2Cj02HMnC1EVP+pZRyuTElhAKIdl1M+ed3SinvRgJ0l/MpxUP+IP698LNxjYblpYFJ08rknj4p+Qx+M2Pl3NGMGh7zu5n0IxmPZ/UL+gpLkGd2j8zmbGheg8fdo5nX22/tpZTyQlIzCSml3N8x5V8pJ//FkZdzxSmlXBcAY3yRC83yGGL/hHUwJskmfEhW8rSadSGfGYKcPCmlACjJd06JpjwtJOlJpus3/WkcpJS6w41co/2UUjaY9LcZH2OKLua0MA4tuFM3pdTdL/qUQWLsxJR/+khi8AiTonudTynO1/pNhnNgNcvkD1Z6x2DduN53YChgsPMKlGSRWfNOBCiPEM9KyedVpax4X+VRbLxBI0eOdNpj4tnDuIBOK+htXpBSyiu9WfTAkDJWIy8D5sdImBNTeHblNfWNAqa/Sj8D+pTGjK4EUnh3hLeoS+HxtrLKWfysdPFkyiSCkRAGVJ03k74HOnlsSz6QDHwBoqYqGS/Gk3LAXHu8GM7djzdZrC7PD2Blml5ZZ6T2fEqgljdpek/HkMHvTTkA8JquZsyWa4ElirfwOANVHD2vEEDkemOq1K/HWacAQ73wM3CIJ7WmP8VF6ge8Ja8kBgiPof6UBziJF23GdMqXyFpymPHiXKIPHM0aAFeuL0YTQI1nefzUqan/KMCrCyTiIXwn5AEgRXv97jdDp9wRHwoVA3JLXjlahCiWush0M6nCJYBZMppud79SX1w9A4txRfYbDwwg+pfjQRKbX+oPxWMFvkOsV1ljPKwlCQVoviKgklIKYLfkE4imGXlwCDtMxPtWBB4PnjgwQNc1hCPrD2MCUTwTFk2J7eQxEjNksQ3AYwU/EM0iLMAXOCKcrQYHsmzDMyNF7b41TU0BMXGln02FAS2lBhoDmfqx5DkCKQSuDeZ5VoQnCEth5FB+prFMl+tLxo3FMBQy4cyLIPyheAN4aoFXq/wpXgYVBc2b41480saKKToxoNrisQKWlGvPNeLAAWRA3lhUVtPUFKD4ePKA1abXx/66+gRf4128aCrRlLIW8K5+sEOK85LwJePE9GPJE4PJ+2PBkwVzFCmlyNuun9Vzb2ND7LeFL7ZPopCV1fT2KIDHCj/zivP4adFiXwaixUgMDnHcADLeAnzNjplZw4MAM5kvTMS1vHiAEV5jvJoB5G0XomI8kQPC1BieQJKpavKYd9HiZvoEX2qrJMDKODALUPLqceYogNesgzH7yrChI4FasyCMm6KP8ZiwIl5h8haINcuCT62vcFf96zpylkznsSVjyQC8yZOsjCygw40lDjFGEF1gXBg35Ad5AjQbQ9ruU+rAShX4dmCnvZ1HBmowUAGh2uLRA3jEVlKaACnGIgSVYwgrNwlW02K2TAJuJJ5aCYBiMWJioFZsLyuSQNYekKYt1/PsaYNH0GIasWHKauofChBwwAowZLswsXWlZVOI4sn0C+FmHFjQRnDyKAE0wLHreQx4kQFTU3G8Q7xLBUwLlwG0KEnT2vpZu/rV/YAlnn1xY/IoUVuO8fATwBYvAW2UgCk2no52mQrz/O2SGDDoY5sphgWgw2vj+dBSjD3DBQhKKeW9Uik05QwO3h5GjHMJD+rDESNGTLUvqP63NRFDxhgAhLRjvOBtxqx+NB7wNgVr2lybNQ0MBQBXINY2cRwRZK1QFvKY0WIvZUDWrIlxwTBirDBqPJG4XqCJ4YT/yHWOCXurksny8ScdwHC2HsN1HBEMVWOu6SSxEwS+BnqBaNPb6tc0cxQQZ232RKiRPgRM6UTymazV32QvAEtOWhTKQMGj9LA+ZZi6q2tsJ2askOkppQBkjQ/leNmY0Q4jWNvkuzLjhKErFJE8sD7GOPIsyodqqsB3qPZsL+9lSpxXobUYk1BoLEYeHQuLKDv1eAMIVsqV8CTsTMWw+nkNJAKWUlROYALLLFJKEygqgEa56XXKmOA01ZPS5BhD96rp7VMAIKUYKTV9xJvabNWCBCDGNJfYWsCzlBO6vAE8DbyCwGwZB0AQL79pOfVTSsFLTPHyPvFMrbHGGt2xtCmlAJ7di0ImnI0z19pxw+I448r+s7wOZYwor+n/KaBP7OmpL4FWhg1FqAaPjpAhxofZEwan+sokytVOAE3jBw+azrRYMKWpec+1FKV72EqM9w8o0hYPkjz9TIG6d0pTX69eTf1HATKSLOWxJWcl54zVwi/4nReYt87CLg+42gAAEABJREFUNzxZnoBHnoeQN1EeQ1e/M6AkxgvjSZnEy2xGh1dXyEurU4JeALzM7AFexorrapo5CpCD+gZv8ujywgoBTGkyPwHDZLM+5cAAevWdu5DfZDNQ7FwSpmKWhky3U0dTpgPLZKz+Jr8tXpXnupRS/qCVGQAyHH8DvYXn1RmKqQLfodir9Z0qBSoFKgUqBSoFKgUGiQL1tu1MgQp827l36rNVClQKVApUClQKVApUClQK9BsFKvDtN1LWhioFeqdALakUqBSoFKgUqBSoFBh8CvQ78BX7Iy7FKsWSnHtV2x6VPEdxRBZuiC21CEcck3ozk+xAIFBcDJy4U9faTUCAv3gk8U+jR48OXzBRNivJO1kl7zgr19drKgUqBSoFKgUqBYY5BerrVwq0BQX6HfgCsgKlLX6wgMVXR8oKZMHXttawmnSfffYJKxMF6AvMtgimBFzPDGUsilHffR0lKxStNrey0ZYsVqFaEKBsVpK99SzEmRVgPiv3q9dUClQKVApUClQKVApUClQK9D8F+h34Wg1o2xUrB60QBnR5XD26lYm2R7F1klWGtt8Bdm1o73dZtahuX5N97Vqvs2sAoCvfJs1WKQK/fW2zWc8WTlatA+nN/Pq7HyhQm6gUqBSoFKgUqBSoFKgUmI0U6Hfg69l5cW2BlFKK5lYpymyrAuzaxko9+0naN9LWHcIJeFfLuW2Q7CVpP1lberhesu2GOrZtsU1Pc3P2rbfeOnzu0kbfwK7tXVxjeyZ72fliib3qbPFkayBlvMU8w7YJsSceUG5bEGW2dBFGYX9DYRPNeymvqVKgUqBSoFKgUmBWKVCvqxSoFJi9FBgQ4Nt8Bft32nOuJHvJNcvF5QKZAK+PH9ir0rnPYvqqCUAMRPO6Asbid+0Hai9B+8TajNkm7aVNsb0+iuCTje7pqyZAL6+vjcC17WgDb15c9wSSfdjBl8sAW/vq+VqNPW19aQrwtfG3vS3ti1nuVY+VApUClQKVApUClQKVApUCnUOBAQe+vgpis+2Sige2kIhXlue2nPtkqS+I+GyfzbvF//ocKxBqQ34gVqwwQMt77GtPPu9Yrm89WpBmg3deZu048gr7POR1110X4nY9I2+vr5aJGQZybfTsE5Gt7Q38eb1DpUClQKVApUClQKVApUClwEBQYMCBL0+rRWYl8dD25UXE56Y0+Ssm6vPCAr6+ECZ22JdN5EvqOvaUhDP4OkpKKXyxKLr++UyfL5v4SokYXm3OOeecIfQipRTCHRZccMFwXVf1+r9SoFKgUqBSYHZSoN6rUqBSoFJggCgw4MC3v58bUBUe4dONM9O20AixvK4BcIFgccbOhU+IGwaSnSuXWuOTldVUKVApUClQKVApUClQKVAp0JkUGBDgK262gMgCNgt5nAs/cFRPAmYlvyW/lavnurfeeivkS0IheH/t36uO+zi6hkfYuXLnrucNFi4hdEH8rvK//e1vATiPGjUqxA9b7CZ8wl6/7iFmmMd3lVVWcftIKYW2tSk0ImfWP5UClQKVApUClQKVApUClQIdRYF+B74A4n333ReAJEB61VVXhR0UUGXChAlhYdobb7wRN910U/zsZz8LAHbixInx05/+NOy/+8gjj4R64nLtxev8oYceCrs/WIQmJtiuDddcc02cccYZ+T7aA0htY+aam2++OZ544olw7z/96U8B+O69994h3OKCCy6ISy+9NIQ6+MCFsImdd945eH9ttXbZZZeFNmyvJuSB59duDhbK/eAHPwj38C41VQpUClQKzF4K1LtVClQKVApUCrxdCvQ78E0phUVn9uy1eGzDDTcM8bMeVOiARWRA61ZbbRVzzTVXrrv//vvHIYccEvPPP3/MPffc4fzII48McbwAqUVuY8aMiYUWWih7aPfbb7+wndlSSy0ViyyySJxyyikhb9FFFw17BPsNFFs0J6RBu9o/+OCDM+BdeeWVw2+xvimlWGmlleKss86KDTbYIBZYYIEY1eUJ3n777WOOOebIcb8bb7xxeB7tLbbYYl6lpkqBSoFKgUqBSoFKgUqBSoHZSYF+uFe/A1+7Jqyxxhqx4447didfZfOsdmBo5q/UBTh93a3ktZ4Dos1y59oBrIUn7LDDDrHaaquFdldcccUMsOWX9hx94MI18847bwa2rgFk7d6Q0uTFc7y6AC0PMMDLQwyku04CnG2PJt95TZUClQKVApUClQKVApUClQKdR4F+B76dR4L6xJUClQIdTIH66JUClQKVApUClQJ9pkAFvn0mVa1YKVApUClQKVApUClQKdBuFKjPMzMUqMB3ZqhV61YKVApUClQKVApUClQKVAp0LAUq8O3Yrpvxg//jH/+Ib33rW2FnixnXbt8aPkP98ssvt+8DDvKT2aLPVn2/+tWvwhZ+HqcTk51cfv7zn3fio8+WZ/7nP/8ZQ4EX7Ojz3HPPzRaadepNnn322fjJT34S9pjv1Hews9KECRM69fFny3PbVtUuVK+++upsud9A3eSWW26JSZMmDVTz/d5uBb79TtLBb9BexE8//XScffbZsdNOO+XdMXyg46KLLorll18+LOQbO3Zs2AauPC2QrL4FhhYn3njjjeFDIaW89WirukMPPTTsjCG5hrBW79e//nXY1cOOG3bmOP/88+P1119XlPdjtmWcnTXWXHPNeOGFF3J++aNdu4HYwq7kWVR4xx13TFO3lA/nI9B76623xu9///tAUws1Cz1sLXjcccfFqquuWrLy0fiwl/Vtt92Wx4cFpIRvLmz58/zzz4cdUWzpZ19r/VCqaP+HP/xhjBw5Mn/t0MLRppEFiG+yySZhC0I7rwBu5VoA/cEHHwzbC5a8ddZZJx5//PEgRI2Dkl+PEfYYv+SSS7ppjSZAkf7YYostovCefMn2jnbPwZd4/uKLLw77kytrTfrCdpL6b7nllgt8aetG/dta11cubfP4ve99r7sIGMejkna6C7p+2Puc8f3973+/62zy/1GjRsU999wTxod7T86tf1EAPe6+++68Behaa62VdzGSjw8POuig7Mhw3lOyf/3aa68d55xzTk/FOY8D4fjjjw87IunrK664IueXP/QEfl9hhRVis802i/vvv78U5S1Fd9lll1hiiSXyLkrN8USmALrGaLmAXCH3v/nNb8abb75ZsmfnsW3vhV76lPyzw9XCCy+cnxWdtt122269utFGGwW5qT5jkTzXb5Jrm32QG2j5Qw7YLnaPPfbIesCWrnjSdRdeeGGQDyNGjIjDDz88yxj30cQNN9yQNw6wCxeZLK8kckF52aZWvt277rrrrnjqqaeyjpfXzqkC33bunVl8NsLm+uuvD7tUaMJA/81vfpOF3e233x5HHHFE3kcZ4ykHcDERwUXQYQ5AaHrWuj2XMQwGkAg8270R3JTcuuuum/dRBoBtFQecAWks2/Hjx+c9le32QQh7hpKAHlvaYbiSZ5u6ZZZZJu+/TNmX/HqMmDBhQvCUbrrpplORA62VXXvttVPlO3nllVfi5JNPDqD1gAMOiIkTJwbQo6yZCM0HHngg7HTy7W9/OwNrWwWWOsCWscagYswYY7x5yo0phhTBbcw9+uijoVyZZF9u5/bkdl7SPvvskwERYOUdSv5wPlKG+AcP2GGm0ALt8cPDDz9csvIRv+svAOrqq6/O/QyQ4mlKK1dq/AGqx40bF7vuumve/3yvvfaKY489Nu+tXhSh6vYwx+eMZOeSZ7DV44knnpiNXWNBfkkArrGw+eabl6ywY47ddzyPe3cX1B95X3vyd/fdd++mhj4gNzkJ/v73v3fnN38AR/gMTzbzm7+NFQ4FuyMxerfccsu8FWip4+umnBnqkQl4Ub8ydhiidIr97x977LEgQ+zVX65l8NIJQFzJc9xmm22yJ9Ce+salvJoi8BBdB3jaNrXQxLcKGC90qoQv8Yt+Ny5stwqI0qFkJCdRb3TFm67heGIc33vvvdlgsfMW3tOObxb4nsKkSZPipJNOCoaPvjz99NPzFq+uszVseT7HO++80yHWX3/9fPTHczF86RttyGvnVIFvO/fOLDwbIWkgYxRfudNESilY8JQNS9+RF8hX65TzFrLWABxfrGNNLrvsssFjpLw18RRTrBgHA9tOjrdReymlYLFSnraNO/XUU4OnkAeaQGW1YlTeYPm8RaV9IKtVSZYyINn9msK2lPX5OMQq8toedthh2cDxIZbm6wGVlCVvazPf7/POOy8IP15YgrcJppSXlFIKyhHtbRvIE8jbU8p5840ZY2u99dbLe2pTjMqNEcoRWDOmUkrZo6DMcwNrrmkKfWUS5Wl8EcDOh3tiJAAs6Nz06PO8Nvuj0AkIQj/Go3JbN/LIAEY8PaVeOeIp+WZ77HvOYDaLA/wAPOrhSx4ecsN5SS+99FLoT7NIxhqAXcoYO6+99loG1CWvHJdccsk8o+RjRyVvuB9NewMZQG+TL1JKQR73xqdkPtnIUJ1vvvl6JWNKKUZ2zc6YWeGNBbCWXnrp7vo+JkUG2yMfkDFmyHTyQtuMFHLb3vo8lD7qVC42NozPwv8l3xGYNoMIuDuvKeLJJ5+MZ555JjujUkqZJOQ14IhOjH7yVr/jeXxErwOXZDde1ZdAKL2aG2j8kWemhdHCGPVBLjxdqjBEjAF5+owDhAOFM8z98TtHlj5t8qhQNLJiu+22K011H7VnRoFDpTuzTX9U4NumHTOrjwVUUnAGcxGUlJnfPt+M4ViBQCml6D6UF6YrQFk9ionHUHlr4oHCMIStKRTTX8XTkFKKxRdfvPsSgtO5qXKWa3fBlB8lDzD2bIS++08p7j742AkhwBPVnTnMfxBI6Ma73iQFY4RQBWrRrVnGA8d7CFS6Dk2dN+uU35SvftbfxpTZAF89LOXKCGUKkWcCOLbfdSlvHglr41Ce53atMZbSZKEvvyRjlwA1HkrecD7ytOEJiqgvdACgxHzjO3TXR67Fowzi1jYoO3UkZfpdeIxpSwpQHkNKvvHivLeE35UxegApnt5Wo0y5evrfTIHzmiJ7e/UbY3Nm6GGWjaxmSKJrb9fqB/vaK2fs8Pry1juXGKPkMf5zrr8BH7MGzpsJLxtb8ngePcPqq6+eP/gkr5nwurrkRzN/OP82M+bbAgyIQge8yTHFM0unCjmhl5WTwcBv4VHygIOKnC/GqXolcWYJMQGAORIYODy/7qEOY1qf+C0xXFNKOWTOeTMZE855hYUncWwZS/KaST2ODjN9zfx2/F2Bbzv2ytt4JpaiGFtMldLUoAJI4s0BdAAggMWtXGPQNgczwQZEK29NvqAnRIGQZt0Bzueee24UpmrW5ykgFMX1pZRC3Bpm503ilfKVPlMjrFkCn3ImwHmreKGbbWFOYFv9Zv5w/Y3+vKmEYJMGYmcJtWLYNMtMjVFoBx54YKC5GHBeYx6bZr3mb1Pm6lBcpsj0abNcfBhjigLkmVRGeepr/ex5ACjGjwU7BDjPBeY1thcAAA02SURBVCOGl5DxVAS8aylvY5GgNXbkDeeEZjxwRenNiBY8gPgXT5e6rkVLZSWvHAFkYQxmY5TrK33ki5uuYyQZazyFrWPNrA3vEyBl2lRcKCWtz80C8T4zstUTT0oRl/saIy+++GK4V8kbzkeyD98a+32lA1qbogZGpuftbbbHIDEjh68ZtPpIOXnPQeJ3SZ5Hn9En+BnQcr2wOEAXEHLOo8iz6ENSwq7wbmnD0ewQsKUt58M9oZn+wl+FFsCpsECedLOtZKeQBv2Cl/UF3S5cScKX+DylqfW89hgxxoa+cK8zzzwzxPTiUXKAIazv6Gz63wydcWDsmcEFwHn/jY+dd945h2aQQ2YJ3Fe4jP7nyfd87ikJSzSOxZs7b9dUgW+79swsPpdBzNpjZbc2wRojuHhZ1BGvF9Faa+bOMQnQy8NDeTavZomyXglFjKYMo48ZMyZ7N4Cfo446KngrgFqA2tf2JDGoFmk0BWV5J/fS1nBPPHKtHjiCkeAEQHqiD2HKUwCUELymIQFNfdBTfXlbb711iN8TG65PLKiSXxLhx0gBbClUU9/KtM3jDBQB2saDqTJAVxw4sPvII4/kmE+giEB2HXDl2Ywn41necE4UVJmNGQg6mNIGfgEX3mUeeUYRbx9lq3+FuxT+a30GswCmVIFzHkRGFIXsekaRKVtTuJSueuV6fayvW0FSKR9uR3QAEPv63gAHr62ZHd7zvl4HsBhTZCxj1bR3X64Vr0uH8CRyWDBchLYcffTReVEq2QIomfI+4YQTwvOVdo0dU+StRnMpH25HTij06+29AdZjjjkm60k6kLNo9OjRwfFgPQ55S66aZQNWW9sxW2ZM0M94ceTIkdnphK/JYToYQBXLqy0hh5woRU/z2prloZfpaCAYv3KmWJdhZo+8wNdNw5UMoOM5w1qfqZ3OK/Btp96YDc9iUApYF5tZAKQBLZ+npzwC0IHZyvn0jpQmS68AF3UxF0uTR68ZBK+MNxfz8vhhUPelWD0PZuMdwnCsUMzpmpr6RoF99903rMjfc889w3QZTx2FKp6XgKKA0Lu0BpgyOHgQSl5PR3GiVpUTtK19AhyZGjc1x9Kn4LRhWtXMgB0FKEOLYix2JIgJfmAO8OExBNaFaLiuprdHAYoQ7S1WKi3pEx5cRk7JK0f9z3i1wNHCUuPDuBAKA9jwFDF4jCfxnzxJpk0BXG3wDrme59FsDM8xxej++JmnGKAjY1rHjuvbInXgQxQnhkVQ+gb/cWiYRhcrPL1XmmeeeQKQst6DDFZX/C7+9bskYTAMGOeuEQvKSNW/Zt/Mzon59SyOPMbaZJQbC66raeYpQKaKp6ebzcKgLdkOhNLLZKjFa2ZwzeC13sF1ZHoxPsgEsl+eumZgTzvttLz2R59xmADHdLly8hqPM2AmTZoUnBT61fjA03S48aK9TuTpCnz18hBKGIIlSQD29lrqUIIApjpAK28dYOKcx44g46l1PqNkigTDAEfqYgaAC2O0eiSVl4ShhF2YpsO8mFWZ9li5mJbClCdRyI4Y1XG4J4KRBd+kA8FoNTaBKAE16GqaUp8LbbB4wbRjuc54MEVZzns76iMJyO2pDsXIY2A8Ncv1palvz+t5CPUCsAh1gNdUXgFlvLzAlecGlpptDcffvPMMhb6+O9BKMQEf6MgIpawYl2ja2g4a43/8TuFZzGQMMUjkOzeWJFOc+k9bypptUY4W2/D6ewZ9rK7pVDLBc/AIlWs8m76mkEvecD4y9pse8RnRgoeO506/SLyEQhIAVfw+o+uBITLB9LW6jFqGKIeFc3H2ZPTBBx/sdKqkjj7mAVZAJutPMpv+0I5yZRLZ7dw9nQ/3JKxhRn3NWOXNL3IR79geUuiBmVQ6Vww9/m2lJ/7Xd0KJlHFKkcNksL7RpjFCHwhh0Nf6WR+pX5JwSN5gO74YK2S8+1lHoD08bRyW+jz6ZHozr5S107EC3557o2NzgRjMgmkoGy/CMuRdHTt2bACkPIIGukGv3Orw3XbbLe8RaerZ9JnrLTRTbnU2hcjDY1CLE6UkxXzy1JlyEZ9L+GEEHghhFOI+TYOZIueNALi0J/EGqMcjCEzJw9g8gpha2+5ZwLRyngkgAKB2PtwTwQU46N9CC958fVOSvgV2WPOACEADnLL2eWz0EyHFA6ANq3UpQsYHQ4gyvfLKK/NUJs+fseUe6vLa6y/jQl39bWwYg8pLMn4IRIZWSinvKGG6lYefgWX8eL4yDtQFlswWtLZV2hxOR32AHujSfG8AQx/KtyJbHeWUF28eugthwe9CTORRXDyxpkCFKBg/+ppcsAMLPjYFLhwF7U1tlrHkyAsMzFKsgJr7SYwXoQy8xhSkPPcCyITGiP02/ihrZRLFz+vfCqCVDccEsPLsmW1rvj+ZC8TIB1J4YZWTjTyv+kWydSCaAzdkgzpCTxibxgZPPDmPj4U6CGthdAA16pKtysXzixHl2dX/xoLykhjNxosQGWNEPgAMUBmPFsMBZN5FmeSZhViVsSFvOCezoPiXsYAOjvjOTB1eEVoGtKIjutLlDFnefPIZ+BQPTOe6nm7lkFBuvJC1eFlsL71JBuB1C930mfHESMWv+lrIC72grZI8H8eUsBaOCfl0idli9Y1FuhgPK5MY6GaAWttS1k6pAt926o1+eBZKiVVo0BJ2miSAeG8ITvG9AIdpa4NWuQT4EHjKeYtNjRfFRjgCyeqnlILSZLGKNzL4xYCKJ9IOwAw8AzHArSRkgVBvem9Zku6JkVxXEvBEcZuWN3Va8il3TAUol7zhfqTcKBMApzda8NARdqUcvS2YIJzEaKWUArAtgo0i1Z/Gkf4Wh00Qi/PUx036Az/AjEWKDBUeAwK33KscjTtgmQAveQAUAQp4ix30u5Tpe9N505stKHWHwxGfUHQ8qs33pbAAEMaKPgI6Srl+EyNoAZPYSyEKYm2V4030BpBSSvnjF8AK0KS++6kXMe1fRpJp9aayUwuYBpxaQWzZcN/MBBCmX9VnIANDxbiWN9wTQx94YcQ0acFbJyYezfUdMNMsL7/JeQCYrC15ZAQwhffIce1bmEYGAKEcE6Wuo7j8vffeO8sE40GIi/xmAsoYUZ6l5JMNjGrPCYBrp5QZG4CbsIiSN9yP5CEeoB/RgiecIYHm5DEjRV8yWpTTobYnE1ag/8nNAnqVuw6I1Q/OyWWzAYAzQ4eDSrx90el0N55k9PDolvu4tiRymJw2g1zyHIXRmNUTHuEe7i2fB9hzwxbO2zlV4NvOvTMLz5ZSyl9joaAMQk0QUJQjUMuKJ7SKAlIuYTyeJUzHM0x4sgyVGeRf+9rXAth17mjwq2tak1dRvsQLgSmVNRPhC9CqI5lap3j9bibCm7LkkSxMrJyS5yUE6p3XFGFa0zQ0ZWPqqSeasNabYFUd/QUU6R8fpGgKUECEd95UmDFkLKjHuwAUA8TakBhAvIaXX355/iiK/kwpKZoqEeDNeyikiAEs1xqP7idf4vE3ndc6RpUNx8TrxssD2PLaFBpQlAxF/SOpU8r0k3PGjYUqQhPQXDnAw8hVDlADrHjWAsQRI0ao0mviyVGXId2sJN94KPcoZe5lxsc4BcbdTxlvr/HLK+W8pgjykZz1YQNAp9CEHGa46GMJz5Sy5lFctw9O2EWj5DN6efIZtugNlGjDbA0DF0AqdR3VM4tjAZsxQvbLbyblTSeGMs8ollu7QK925EtkBLliHDuvKXJsLaeFECQeWnzBkSCuVv+QfwyVQiu/OaPE3Jp1K/nlqO8ZlsJVUposg+WR73Q+gNrUp8YZmU7nkxWlneaRc4Qjw7M188s4JVcYaylNvp93IT+A7Wb9dvw9U8C3HV+gPtO0FDDgeWhZiE0BOm3Nzsgxlc/b9ZWvfCWaAKkznn5gnxJ44dWhLHlVBvZuA9+6HQUoBMKzVeAO/N3b8w4MVyEDgC8vaXs+Zd+fiqeLkuTpN6vQ9yuHfk1AwyImBovp705/Y15FHkPGbW8Aq9PfcVaen8HBGWW3BLptVtpop2s4XjjaAHYhi+30bD09SwW+PVGlw/NSSsG6Zn2b2u7w1wmeR9M4vEqd/i79/fzAIQHKo97qbevve82O9nireKLa+F1mBxmmuQfvN+9702szTaUOyTC7BPQ2vUUd8ugD/pj4WXgSDy+DZ8BvOMA34J3k7a0Oi2kJLXTFdmIMg2lLOyvHTC09ZDY4pcke4HZ+gwp827l36rNVClQKVApUClQKVApUCrQVBTr7YSrw7ez+q09fKVApUClQKVApUClQKVAp0EcKVODbR0LVapUClQK9U6CWVApUClQKVApUCnQCBbqBrwVE9oKr6YWoNKg0qGOgjoE6BuoYqGOgjoGZGAMVO7zQGeOlG/jakNgGyjWdHJUGlQZ1DNQxUMdAHQN1DNQxUMfA0BsD3cDX11lsYl7T1VFpUGnQL2Pg6krHSsc6BuoYqGOgjoE6BtppDHQD306Iy6jPWClQKVApUClQKVAp0DkUqE9aKdBuFPg/AAAA//+dBWhPAAAABklEQVQDACw0NL1xHgpiAAAAAElFTkSuQmCC\"\u003e\u003c/div\u003e\n \u003cdiv align=\"char\" char=\".\" colname=\"c5\" colnum=\"5\"\u003e\u003cbr\u003e\u003c/div\u003e\n \u003cdiv align=\"char\" char=\".\" colname=\"c6\" colnum=\"6\"\u003e\u003cstrong\u003eTable\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003cstrong\u003e.\u003c/strong\u003e Mean difference in PPPs between four different types of shoe midsoles.\u003c/div\u003e\n \u003c/div\u003e\n \u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv id=\"Sec14\"\u003e\n \u003ch2\u003eVertical Impact Loading Rate\u003c/h2\u003e\n \u003cp\u003eFigures 5A and 5B separately show the TPF and VILR of the plantar after landing from jumps while wearing different midsole types. ANOVA results also showed that midsole type had a significant effect on TPF [F(3, 76)\u0026thinsp;=\u0026thinsp;11.9, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01] and VILR [F(3, 76)\u0026thinsp;=\u0026thinsp;11.3, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01] during jump landing. Post hoc comparisons showed that 3D-printed midsoles significantly prolonged the time to peak plantar impact force compared to the PU midsole. Among them, auxetic lattice midsoles A60 and A75 showed significantly lower VILRs than PU, indicating more effective cushioning of auxetic lattice midsoles. Table 3 shows the means of peak impact force (PIF), TPF, and VILR. Although there were slight differences in the mean PIF values under the four midsole conditions, ANOVA verified that PIF did not significantly affect TPF and VILR.\u003c/p\u003e\n \u003cdiv\u003e\u0026nbsp;\u003ctable float=\"Yes\" id=\"Tab3\" border=\"1\"\u003e\n \u003ccaption language=\"En\"\u003e\n \u003cdiv\u003eTable 3\u003c/div\u003e\n \u003cdiv\u003e\n \u003cp\u003ePeak impact force, time to peak force, and vertical impact loading rate during landing after jumping for different shoe midsole types.\u003c/p\u003e\n \u003c/div\u003e\n \u003c/caption\u003e\n \u003cthead\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eMidsole type\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\" nameend=\"c3\" namest=\"c2\"\u003e\n \u003cp\u003ePeak impact force (N)\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\" nameend=\"c6\" namest=\"c5\"\u003e\n \u003cp\u003eTime to peak force (ms)\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\" nameend=\"c9\" namest=\"c8\"\u003e\n \u003cp\u003eVILR (N/ms)\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" colname=\"c2\"\u003e\n \u003cp\u003eave\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c3\"\u003e\n \u003cp\u003estd\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/th\u003e\n \u003cth align=\"left\" colname=\"c5\"\u003e\n \u003cp\u003eave\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c6\"\u003e\n \u003cp\u003estd\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/th\u003e\n \u003cth align=\"left\" colname=\"c8\"\u003e\n \u003cp\u003eave\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c9\"\u003e\n \u003cp\u003estd\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003c/thead\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\"\u003e\n \u003cp\u003eA60\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e893.00\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e138.65\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e96.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e12.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e\n \u003cp\u003e9.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e\n \u003cp\u003e1.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\"\u003e\n \u003cp\u003eA75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e947.97\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e145.87\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e89.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e7.6\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e\n \u003cp\u003e10.6\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e\n \u003cp\u003e1.2\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\"\u003e\n \u003cp\u003eN90\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e998.22\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e153.60\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e87.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e6.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e\n \u003cp\u003e11.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e\n \u003cp\u003e1.5\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\"\u003e\n \u003cp\u003ePU\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e928.08\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e184.52\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c4\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e76.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e13.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\" colname=\"c7\"\u003e\u0026nbsp;\u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c8\"\u003e\n \u003cp\u003e12.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c9\"\u003e\n \u003cp\u003e2.3\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n \u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv id=\"Sec15\"\u003e\n \u003ch2\u003eMediolateral Deviation of the Center of Pressure\u003c/h2\u003e\n \u003cp\u003eFigure 6 illustrates the variation in total displacement of the COP in the x-axis direction during landing after jumping, while wearing different midsole types. ANOVA results indicated that midsole type had a significant effect on COP displacement during jump landing [F(3, 76)\u0026thinsp;=\u0026thinsp;27.6, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01]. Post hoc comparisons showed that the total mediolateral COP deviations of A75 and N90 among 3D-printed midsoles were significantly smaller than that of A60 and PU midsoles. Among 3D-printed auxetic midsoles, the COP displacement of A75 was significantly smaller than that of A60.\u003c/p\u003e\n\u003c/div\u003e\n\u003cdiv id=\"Sec16\"\u003e\n \u003ch2\u003eContact Area\u003c/h2\u003e\n \u003cp\u003eANOVA demonstrated significant effects of midsole design on plantar contact area during jump-landing events across multiple regions (p\u0026thinsp;\u0026lt;\u0026thinsp;0.01): hallux [F(3, 76)\u0026thinsp;=\u0026thinsp;272.2, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01], toes 2\u0026ndash;5 [F(3, 76)\u0026thinsp;=\u0026thinsp;128.8, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01], MTH 1 [F(3, 76)\u0026thinsp;=\u0026thinsp;14.4, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01], MTH 3\u0026ndash;5 [F(3, 76)\u0026thinsp;=\u0026thinsp;20.2, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01], midfoot [F(3, 76)\u0026thinsp;=\u0026thinsp;172.1, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01], and hindfoot [F(3, 76)\u0026thinsp;=\u0026thinsp;117.3, p\u0026thinsp;\u0026lt;\u0026thinsp;0.01]. Table 4 compares the mean contact areas of different midsole types in each plantar region, calculates the mean differences, and provides p-values indicating the significance of pairwise comparisons of sample means. In terms of mean values, auxetic midsoles (A60 and A75) had larger contact areas in all plantar regions than non-auxetic midsoles (N90 and PU), especially in the toes, midfoot, and heel. The auxetic midsole A60 had significantly larger contact areas in almost all plantar regions than non-auxetic midsoles (N90 and PU), except for the MTH 2 region. During jump landing, the 60\u0026deg; internal angle of the auxetic lattice caused more midsole deformation and a significantly larger plantar contact area. \u0026nbsp;\u003c/p\u003e\n \u003ctable float=\"Yes\" id=\"Tab4\" border=\"1\"\u003e\n \u003ccaption language=\"En\"\u003e\n \u003cdiv\u003eTable 4\u003c/div\u003e\n \u003cdiv\u003e\n \u003cp\u003eMean difference in contact areas (cm2) between four different types of shoe midsoles.\u003c/p\u003e\n \u003c/div\u003e\n \u003c/caption\u003e\n \u003cthead\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" colname=\"c1\"\u003e\n \u003cp\u003eVariable\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c2\"\u003e\n \u003cp\u003eA60-N90\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c3\"\u003e\n \u003cp\u003eA75-N90\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c4\"\u003e\n \u003cp\u003eA60-PU\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c5\"\u003e\n \u003cp\u003eA75-PU\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colname=\"c6\"\u003e\n \u003cp\u003eN90-PU\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003c/thead\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eHallux\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e3.394***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e2.850***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e1.607***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e1.064***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e-1.787***\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(67.22%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(1.75%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(23.51%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(0.54%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(0.91%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eToes 2\u0026ndash;5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e5.493***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e4.310***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e3.383***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e2.200***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e-2.110***\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(33.25%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(2.37%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(18.16%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(1.26%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(1.21%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eMTH 1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e1.038***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e0.857***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e0.586**\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e0.404\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e-0.453\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(8.52%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(0.43%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(4.63%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(0.19%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(0.22%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eMTH 2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e0.043\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e0.040\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e0.026\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e0.023\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e-0.017\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(0.31%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(0.02%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(0.19%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(0.01%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(0.01%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eMTH 3\u0026ndash;5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e1.265***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e0.351\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e0.892***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e-0.022\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e-0.373\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(9.08%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(0.16%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(6.24%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(0.01%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(0.22%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eMidfoot\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e9.559***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e4.990***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e10.889***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e6.319***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e1.330\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(34.25%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(4.38%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(40.97%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(5.61%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(1.18%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\" colname=\"c1\" morerows=\"1\" rowspan=\"2\"\u003e\n \u003cp\u003eHindfoot\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e9.852***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e5.020***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e10.649***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e5.818***\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e0.797\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c2\"\u003e\n \u003cp\u003e(30.85%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c3\"\u003e\n \u003cp\u003e(2.18%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c4\"\u003e\n \u003cp\u003e(34.20%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c5\"\u003e\n \u003cp\u003e(4.04%)\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\" char=\".\" colname=\"c6\"\u003e\n \u003cp\u003e(0.55%)\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e"},{"header":"Discussion","content":"\u003cp\u003eBased on the experimental results, auxetic lattice-structured midsoles (A60 and A75) exhibited more substantial pressure reduction and cushioning performance during jump landing compared to non-auxetic (N90) or PU midsoles. According to Tables\u0026nbsp;\u003cspan refid=\"Tab2\" class=\"InternalRef\"\u003e2\u003c/span\u003e and Table\u0026nbsp;\u003cspan refid=\"Tab4\" class=\"InternalRef\"\u003e4\u003c/span\u003e, statistical significance (p\u0026thinsp;\u0026lt;\u0026thinsp;0.01) was observed for the comparison between PPPs and contact area across various plantar regions. A75 significantly reduced plantar pressure by 8.79% to 46.33% and increased plantar contact area by 0.43% to 4.38% compared to the non-auxetic lattice-structured midsole N90; A60 significantly reduced plantar pressure by 11.73% to 69.96% and increased contact area by 8.52% to 67.22%. Compared to the control PU sole, A75 significantly reduced plantar pressure by 4.90% to 42.47% and increased contact area by 0.54% to 5.61%; A60 significantly reduced plantar pressure by 10.94% to 68.68% and increased contact area by 4.63% to 40.97%. During jump landing, auxetic lattice-structured midsoles effectively reduced peak pressure in different plantar regions, and the closer fit between the foot and shoe resulted in a more uniform distribution of foot pressure. The results are consistent with existing studies on the pressure reduction characteristics of auxetic materials [\u003cspan citationid=\"CR38\" class=\"CitationRef\"\u003e38\u003c/span\u003e]. The reduction in unit load in each plantar region is related to the increase in plantar contact area [\u003cspan citationid=\"CR39\" class=\"CitationRef\"\u003e39\u003c/span\u003e, \u003cspan citationid=\"CR40\" class=\"CitationRef\"\u003e40\u003c/span\u003e] because auxetic materials can conform to curved surfaces such as the human body by forming synclastic curvatures [\u003cspan citationid=\"CR41\" class=\"CitationRef\"\u003e41\u003c/span\u003e]. The reduction in plantar extreme pressure helps improve shoe comfort during jumping and reduce plantar tissue damage from impacts [\u003cspan citationid=\"CR23\" class=\"CitationRef\"\u003e23\u003c/span\u003e]. According to Fig.\u0026nbsp;\u003cspan refid=\"Fig5\" class=\"InternalRef\"\u003e5\u003c/span\u003eA, compared to non-auxetic lattice midsoles (N90 and PU), auxetic lattice midsoles (A60 and A75) significantly or non-significantly prolonged the time to PIF. The attenuation of VILRs corroborates established findings on the energy-dissipating characteristics of auxetic structures. These lattice-based midsoles collectively attenuated plantar pressure and enhanced impact cushioning during landing maneuvers, with the A60 configuration exhibiting optimal cushioning performance.\u003c/p\u003e \u003cp\u003eHowever, experimental results showed that A60 had the most significant CoP deviation among all midsole types, possibly because the 60\u0026deg; internal angle lattice structure made the A60 midsole too soft. As softer midsoles have larger CoP deviations than harder ones [\u003cspan citationid=\"CR34\" class=\"CitationRef\"\u003e34\u003c/span\u003e], this may be a contributing factor. The 75\u0026deg; internal angle lattice structure was relatively stable, and its auxetic structure provided conformability, resulting in the minor CoP deviation for A75 among all midsole types. CoP deviation is often related to jump landing stability [\u003cspan citationid=\"CR26\" class=\"CitationRef\"\u003e26\u003c/span\u003e], indicating that the A75 midsole has the strongest stability during jump landing.\u003c/p\u003e \u003cp\u003eBasketball shoe design advocates using soft cushioned soles to mitigate impacts in passive or unexpected situations [\u003cspan citationid=\"CR42\" class=\"CitationRef\"\u003e42\u003c/span\u003e]. Based on the view of W-K Lam, et al. [\u003cspan citationid=\"CR43\" class=\"CitationRef\"\u003e43\u003c/span\u003e] that \"using a softer sole in the forefoot region may be a feasible remedy to reduce high plantar loads on basketball players,\" this study proposes that the A60 auxetic lattice structure is particularly suitable for the forefoot region of basketball shoes because pressure test results in Section 3.1 show that A60 has superior pressure reduction performance in the forefoot compared to other midsoles. Given the excellent cushioning performance of auxetic lattice midsoles, incorporating auxetic lattice-structured soles into specialized footwear for sports that require frequent jumping, such as badminton and volleyball, is feasible for reducing foot injuries [\u003cspan citationid=\"CR44\" class=\"CitationRef\"\u003e44\u003c/span\u003e]. However, footwear for sports emphasizing balance and stability is recommended to adopt the A75 lattice structure design. Although A75 has slightly lower cushioning than A60, it exhibits more substantial pressure reduction in the midfoot and heel regions. In particular, compared to other midsoles, including A60, A75 has a significantly smaller COP offset and more stable jump landing, making it suitable for sports requiring dynamic postural stability, such as dance [\u003cspan citationid=\"CR45\" class=\"CitationRef\"\u003e45\u003c/span\u003e] or single-leg jump landings [\u003cspan citationid=\"CR46\" class=\"CitationRef\"\u003e46\u003c/span\u003e].\u003c/p\u003e \u003cp\u003eThis research examines midsole structural impacts on jump-landing biomechanics independent of shoe categorization. The physical characteristics of auxetic lattice designs demonstrated herein provide actionable references for sports footwear innovation. As comfort-stability integration is essential for injury mitigation and foot health maintenance, manufacturers may implement scenario-specific midsole structural optimization guided by these findings.\u003c/p\u003e"},{"header":"Conclusions","content":"\u003cp\u003eThis study confirms that auxetic lattice-structured midsoles effectively enhance cushioning performance during jump landing. Their negative Poisson ratio and deformation adaptability significantly increase foot-shoe contact area and disperse impact loads. Furthermore, the study reveals the regulatory mechanism of lattice angles on function\u0026mdash;smaller angles (60\u0026deg;) enhance forefoot cushioning, while larger angles (75\u0026deg;) balance cushioning and stability. In midsole design, a zonal application strategy is proposed based on sports scenario requirements. Auxetic 60\u0026deg; lattice structures are recommended for the forefoot in high-impact sports (e.g., basketball sport), while auxetic 75\u0026deg; lattice structures are proposed for stability-priority scenarios (e.g., dance). These findings offer new insights for customized sports midsole design and the development of injury prevention equipment. Although previous studies have measured comfort perception during sports shoe wear, measuring stability perception may have accuracy issues. This study infers wearing comfort and stability of different test midsoles from biomechanical parameters without conducting sensory experience measurements.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eAuthor Contributions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eJifa Zhang: Conceptualization, Methodology, Formal analysis, Investigation, Writing \u0026ndash; Original Draft. Runhua Huang: Software, Validation, Data Curation, Visualization. Yibing Chen: Supervision, Funding acquisition, Project administration, Resources, Writing \u0026ndash; Review \u0026amp; Editing. Yangbo He: Formal analysis, Software, Visualization. Qi Wu: Investigation, Resources. Yadie Yang: Methodology, Validation, Writing \u0026ndash; Review \u0026amp; Editing\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAdditional Information\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors have declared that no competing interests exist.\u003c/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThis research is supported by funds from Guangdong Office of Philosophy and Social Science (GD22CYS01). \u003c/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eAcknowledgements\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe authors extend their sincere gratitude to Prof. Huang of Guangzhou Sport University for supplying the plantar pressure measurement system and offering technical guidance on its operation. Appreciation is also extended to the Experimental Center of the School of Art and Design and the Instrumental Analysis Center at Guangdong University of Technology for their valuable support. \u003c/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eData Avaliability Statement\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe data that support the findings of this study are available from Guangzhou Sport University but restrictions apply to the availability of these data, which were used under license for the current study, and so are not publicly available. Data are however available from the authors upon reasonable request and with permission of Guangzhou Sport University.\u003c/p\u003e\n"},{"header":"References","content":"\u003col\u003e\u003cli\u003e\u003cspan\u003eBates, N. A., Ford, K. R., Myer, G. D. \u0026amp; Hewett, T. E. Timing Differences in the Generation of Ground Reaction Forces between the Initial and Secondary Landing Phases of the Drop Vertical Jump. \u003cem\u003eClin. 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Sports Med.\u003c/em\u003e \u003cb\u003e38\u003c/b\u003e (06), 481\u0026ndash;486 (2017).\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Auxetic Lattice Structures, Athletic footwear midsoles, Cushioning, Stability, Jump-landing biomechanics","lastPublishedDoi":"10.21203/rs.3.rs-9424953/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9424953/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eHigh-impact forces during jump landing pose a risk for lower limb injuries, highlighting the importance of shoe midsole cushioning, where the effectiveness of midsole hardness remains controversial. This study evaluated the biomechanical performance of three-dimensional auxetic lattice structure midsoles during jump landing, examining their cushioning mechanisms and stability. Four midsoles were tested: two auxetic lattices (A60 and A75), a non-auxetic structure (N90), and a traditional polyurethane (PU) midsole, using plantar pressure measurements (Pedar‑X system) and finite element simulations. Results showed that auxetic midsoles significantly improved overall performance, reducing peak plantar pressure and impact loading rate compared to non-auxetic designs. Specifically, A60 provided optimal forefoot pressure reduction, while A75 offered superior stability, with both enhancing pressure distribution uniformity through increased foot-shoe contact area. These findings demonstrate that auxetic lattice structures enhance athletic shoe cushioning, suggesting A60 for high-impact areas and A75 for stability-focused applications, thereby offering a theoretical basis for zoned cushioning design in athletic footwear.\u003c/p\u003e","manuscriptTitle":"Augment Cushioning and Stability in Jump-Landing: Biomechanical Assessment of Auxetic Lattice Structures in Athletic Footwear Midsoles","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-05-13 11:43:27","doi":"10.21203/rs.3.rs-9424953/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"reviewersInvited","content":"","date":"2026-05-05T14:25:49+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-05-05T14:20:52+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2026-05-04T13:56:09+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2026-04-22T15:24:48+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2026-04-22T14:03:04+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"587ef53c-775d-4440-aac7-25867671c8bf","owner":[],"postedDate":"May 13th, 2026","published":true,"recentEditorialEvents":[{"type":"reviewersInvited","content":"7","date":"2026-05-05T14:25:49+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-05-05T14:20:52+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2026-05-04T13:56:09+00:00","index":"","fulltext":""}],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[{"id":68088826,"name":"Physical sciences/Engineering"},{"id":68088827,"name":"Health sciences/Health care"}],"tags":[],"updatedAt":"2026-05-13T11:43:28+00:00","versionOfRecord":[],"versionCreatedAt":"2026-05-13 11:43:27","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-9424953","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-9424953","identity":"rs-9424953","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}