Study on the Evolution Law of Overlying Strata Movement Inducing Surface Subsidence Under Different Mining Sequences of Multiple Coal Seams: A Case Study

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Taking the on-site conditions of a mine in Fengfeng Mining Area as the engineering background, this study uses numerical simulation to research the evolution law of overlying strata movement closely related to surface subsidence under different mining sequences of multiple coal seams due to the deficiencies of existing research. The research results are as follows: ① The evolution law of overlying strata fractures is obtained. The key strata play a major role in inhibiting the vertical fracture propagation of overlying strata and thus controlling surface subsidence. The overlying strata will form a trapezoidal propagation structure with the horizontal fractures of the key strata as the upper base and the vertical fractures as the sides. When multiple key strata all inhibit vertical fracture propagation, the relatively higher key stratum plays the main inhibitory role, and the overlying strata fracture propagation process of the three key strata is determined. ② Compared with downward mining, upward mining not only results in smaller surface subsidence after the first coal seam mining but also smaller total subsidence after the two coal seams mining. The explanation for this phenomenon is that the key strata weaken in strength while inhibiting fracture propagation. The degree of fracture propagation inhibition (degree of surface subsidence control) by the key strata is proportional to the degree of strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, the final total weakening degree is lower when the key strata strength first experiences a small weakening stage. Upward mining first mines the coal seam farther from the key strata, and the key strata strength is less weakened during the mining of this coal seam, leading to a lower final total weakening degree and thus smaller final surface subsidence. ③ The evolution law of overlying strata bed separation is determined. The maximum values of bed separation space under the three key strata appear in the order of increasing stratum position, and grouting should be carried out in turn during bed separation grouting. The bed separation space during the second coal seam mining in upward mining is significantly larger than that during the first coal seam mining, so the grouting volume should be mainly concentrated in the second coal seam mining process; while the difference in downward mining is small, and the grouting volume should be implemented evenly. The bed separation space and grouting timing under the two mining sequences are obtained. Physical sciences/Energy science and technology Physical sciences/Engineering Earth and environmental sciences/Natural hazards Earth and environmental sciences/Solid earth sciences Subsidence-reducing mining Upward mining Key stratum of overlying strata Fracture evolution Bed separation space Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Highlights The evolution law of the trapezoidal structure of overlying strata fractures with the horizontal fractures of key strata as the upper base is found. The conclusion that upward mining reduces the total surface subsidence is determined and explained. The bed separation grouting timing and grouting volume distribution scheme under different mining sequences are proposed. 1 Introduction Reducing surface subsidence caused by coal mining is one of the core contents of green coal mining, and it is an important part for humans to achieve harmony with nature in the process of coal resource mining [ 1 , 2 ] . Especially in recent decades, with the rapid increase of coal output, severe environmental problems such as large-area surface water accumulation [ 3 , 4 ] , soil and water loss in mining areas [5,6] and building damage [7,8] have appeared in the subsidence areas after coal mining, which greatly restricts the high-quality development of China's economy and society. Minimizing surface subsidence caused by coal mining has become a long-term difficult problem [9,10] . Among the existing subsidence-reducing mining technologies, backfill mining technology has obvious advantages in scenarios that require strict control of surface subsidence (such as "mining under three conditions"), but its high cost and complex engineering implementation requirements limit its large-scale application [ 11 ] . Therefore, under conventional geological and mining conditions, most researches and practices tend to adopt the subsidence-reducing technology system dominated by overlying strata bed separation grouting and supplemented by mining process optimization. Based on this, this paper will focus on the latter, and backfill mining technology is not within the scope of this study. The evolution law of overlying strata movement is the foundation of all subsidence-reducing mining technologies, and the core influence of key overlying strata is an industry consensus. In the research on overlying strata bed separation grouting, Wang used a similar simulation method and proved that bed separation grouting can significantly reduce subsidence [ 12 ] . He established a triangular calculation model that can identify the bed separation position and analyze overlying strata breakage, and gave the discrimination principle and related calculation formulas of the model [13] . Gao found that grouting in the bed separation area forms a dense support body, which compacts the overlying rock strata, thereby preventing the key strata from breaking under its own gravity and minimizing surface subsidence caused by coal mining [ 14 ] . Zheng used numerical simulation and found that bed separation exists in the upper, middle and lower parts of the overlying strata: the bed separation in the lower overlying strata occurs first and the middle part last, so the bed separation grouting operation should be started before the bed separation in the middle overlying strata closes [ 15 ] . Teng proposed to comprehensively evaluate the dynamic process of surface subsidence using maximum subsidence, horizontal displacement and subsidence rate, and found that the three indicators decreased significantly after bed separation grouting through on-site measurement [ 16 ] . Xuan evaluated the effect of overlying strata bed separation grouting through two surface boreholes and found that the injected fly ash was compacted after 7 months; the central cavity area endured the maximum possible compression and became the foundation supported by cement slurry, which enables the cement slurry to inhibit the deformation of the strata above it and thus reduce surface subsidence [ 17 ] . Ma studied the separation process and distribution of overlying strata in view of the difficulty in forming large-scale bed separation space under the condition of no obvious key strata, and effectively controlled surface subsidence by increasing the number of boreholes and grouting layers [ 18 ] . Wang proposed an analysis method for the effect of bed separation grouting mining technology, conducted detailed analysis on three grouting working faces in Linhuan Coal Mine, and found that the surface subsidence reduction rate related to grouting ratio was consistent with the actual situation, which can be used for grouting working face design and surface subsidence prediction [ 19 ] . In the research on optimizing mining technology, Zhang used numerical simulation and found that increasing mining depth would reduce the maximum surface subsidence, subsidence coefficient and surface crack opening size [ 20 ] . Liu proposed to slow down surface subsidence from the source by optimizing working face parameters such as working face length and height, and provided a basis for working face optimal design and surface ecological management timing selection through on-site investigation in Shangwan Coal Mine [ 21 ] . The above studies focus on reducing surface subsidence through overlying strata bed separation grouting during single coal seam mining. However, the evolution law of overlying strata movement under multi-coal seam occurrence conditions is more complex, and the subsidence-reducing mining technology based on this is more challenging. Wang used numerical simulation to study the influence of coal seam spacing under the subgrade, grouting range and grouting timing on the subsidence control effect of multi-layer goaf [22] . Ji analyzed the evolution law of bed separation area under four conditions: single key stratum between coal seams, key stratum above all coal seams, multiple key strata all above all coal seams, and multiple key strata alternately distributed with coal seams. He found that the bed separation space mainly occurs below the highest key stratum; when the key stratum is above all coal seams, if the seam spacing is less than four times the mining height of the lower coal seam, fractures will penetrate the upper coal seam; if the key stratum is not completely broken during the mining of the upper coal seam, secondary bed separation may occur [ 23 ] . Sun discussed the influence of staggered spacing on surface subsidence in multi-coal seam mining, and found that the optimal staggered spacing between the 2nd and 3rd coal seams is 40m, while the most unfavorable is 0m. Sheng established a numerical relationship between rock mass movement and deformation after multiple mining disturbances and coal seam spacing, and constructed a two-dimensional calculation model for the final state of rock mass movement in multi-coal seam mining, which can obtain the position and degree of bed separation development in multi-coal seam mining [24] . The above research provides sufficient research basis and theoretical support for this study, but there are still deficiencies in the research on subsidence-reducing mining technology under multi-coal seam conditions, and some problems that are expected to significantly improve the subsidence-reducing effect have not yet reached conclusions. For example: ① During multi-coal seam mining, the subsidence change characteristics of key overlying strata are an important part of the overlying strata movement law, and the relationship between them, bed separation space and surface subsidence change has not been solved, which is crucial for further exploring the evolution mechanism of surface subsidence and adopting more scientific subsidence-reducing measures; ② The subsidence-reducing effect of upward mining in the first coal seam mining is unquestionable, but it remains unclear whether the surface subsidence after multi-coal seam mining is still significantly lower than that of downward mining. If so, choosing upward mining under the condition of ensuring the stability of interlayer rock strata will also become one of the subsidence-reducing mining technologies based on optimized mining technology. This paper will carry out research based on the on-site conditions of two mining coal seams and three key strata in a mine in Fengfeng Mining Area, which will provide a scientific basis for surface subsidence control of the mine and improve China's subsidence-reducing technology system dominated by overlying strata bed separation grouting and supplemented by mining process optimization. 2 Engineering Background The on-site conditions of a mine in Fengfeng Mining Area are selected as the engineering background. The mining area of the mine is mainly located under villages, which puts forward high requirements for surface subsidence caused by mining. The main coal-bearing strata in the mine field are the Shanxi Formation of the Lower Permian and the Taiyuan Formation of the Upper Carboniferous. Among them, the 2 # coal seam of the Shanxi Formation and the 4 # coal seam of the Taiyuan Formation are the main mining coal seams of the mine. The 2 # coal seam has a thickness of 7m and a buried depth of 570.1m. It adopts the strike longwall retreating, light hydraulic support fully mechanized top-coal caving mining technology, and the full caving method is used to manage the roof. The lithology of the roof and floor of this coal seam is siltstone. The 4 # coal seam has a thickness of 3m and a buried depth of 610.29m. It adopts the strike longwall retreating and high-grade conventional mining technology, and the full caving method is used to manage the roof. The lithology of the roof and floor of this coal seam is Yeqing limestone and argillaceous sandstone respectively. The borehole column diagram of the mine rock strata is shown in Fig. 1 . 3 Establishment of Numerical Model The UDEC numerical simulation software is selected for modeling. UDEC is a two-dimensional discrete element analysis software based on the Lagrangian algorithm, which is suitable for analyzing the mechanical properties of discontinuous media. In UDEC, the blocks are set as deformable bodies, and the rock blocks show continuous medium mechanical properties under external forces. Joints are set between adjacent blocks, and the rock blocks are connected through joint surfaces. Under external forces, the joint surfaces will be deformed by force; when the deformation reaches its own limit, the joints will undergo shear dislocation or sliding instability failure, which can just simulate the rock mass failure phenomenon. A model as shown in Fig. 2 is established, with a size of 1100m×624m. The thicknesses of the 2 # and 4 # coal seams are taken as 3m and 7m respectively. The rock strata are regarded as elastic blocks, and the rock strata are discretized by setting joints between the blocks. The rock strata failure is simulated by the failure of the joints. The upper surface of the model is the ground surface, which is a free boundary condition without applying stress and displacement conditions. The side boundary conditions of the model adopt rolling support, that is, limiting the displacement in the x-direction at the model boundary and limiting the displacement in the y-direction at the model bottom boundary. According to the surface borehole column diagram, it is determined that there are 3 key layers in the overlying strata, and their distribution is shown in Fig. 2 . Two groups of numerical calculation tests are carried out: ① upward mining (mining 4 # coal seam first, then 2 # coal seam), ② downward mining (mining 2 # coal seam first, then 4 # coal seam). By monitoring the characteristics of key strata subsidence change, overlying strata bed separation space change and surface subsidence change during coal seam mining, the study on the evolution law of overlying strata movement under different mining sequences is realized. 4 Evolution Law of Overlying Strata Fractures During the simulated mining process, the overlying strata fracture distribution at different stages was monitored. It was found that the overlying strata fractures present a trapezoidal propagation structure with the horizontal fractures of the key strata as the upper base and the vertical fractures as the sides: the main overlying strata fractures first propagate vertically along the fracture angle direction, and it is difficult to continue expanding upward when they extend to the key strata, turning into horizontal propagation fractures along the key strata. At the same time, vertical fractures mirrored by the midline of the horizontal fractures are formed in the advance area, showing a trapezoidal structure as a whole. The differences in trapezoidal fracture evolution under different mining sequences are analyzed below. Figure 3 shows the overlying strata fracture distribution during upward mining. It can be seen from the figure that when the lower 4 # coal seam is mined first, the vertical fractures form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum, and two trapezoidal fracture structures are formed in the third key stratum (a small number of vertical fractures extend to the ground in the second time). When continuing to mine the upper 2 # coal seam, the vertical fractures still form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum, and two trapezoidal fracture structures are still formed in the Main Key Stratum (the number of vertical fractures extending to the ground increases significantly in the second time). This indicates that the key strata are the main structure inhibiting the upward propagation of vertical fractures. After suffering mining damage from the lower 4 # coal seam, the three key strata still retain residual strength to inhibit the upward propagation of vertical fractures again when mining the upper 2 # coal seam. Figure 4 shows the overlying strata fracture distribution during downward mining. It can be seen from the figure that when the upper 2 # coal seam is mined first, the vertical fractures form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum. Similarly, two trapezoidal fracture structures are formed in the third key stratum (a small number of vertical fractures extend to the ground in the second time). However, when continuing to mine the lower 4 # coal seam, no obvious trapezoidal fracture structures are formed when the vertical fractures extend to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum. Moreover, the number of vertical fractures extending to the ground is significantly more than the results in Fig. 3 (e), (f) and (g). This indicates that after suffering mining damage from the upper 2 # coal seam, the residual strength of the three key strata is difficult to inhibit the upward propagation of vertical fractures again when mining the lower 4 # coal seam. 5 Evolution Law of Overlying Strata Movement 5.1 Analysis of Key Strata Subsidence Differences The strength of key strata is the main reason for their ability to inhibit vertical fracture propagation. However, their strength weakens synchronously while inhibiting propagation, which is reflected in the weakened part of the key stratum forming horizontal fractures and subsiding downward. Therefore, the degree of inhibition of vertical fracture propagation by key strata and the degree of strength weakening during this process can be judged according to the subsidence of key strata. To accurately verify the phenomena observed in Section 4, measuring points are arranged on the three key strata and the ground surface. By analyzing the differences in key strata subsidence at different stages, the key stratum that plays a major role in inhibiting vertical fracture propagation at each Stageis determined. (1) Upward Mining Figure 5 shows the variation curve of measuring point subsidence during upward mining. In the figure, the coal seam starts to advance forward from the 300m position of the measuring point. It can be seen from the figure: Stage①: The 4 # coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). Sub-key Stratum 1 subsides at the measuring point from 300m to 500m, and the horizontal fractures of this key stratum form the trapezoidal fracture structure shown in Fig. 3 (a). This indicates that Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation at this stage, and its strength weakens and subsidence occurs during this process. Stage②: The 4 # coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). All three key strata and the ground surface subside at the measuring point from 300m to 700m, and the subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 is significantly higher than that of the Main Key Stratum and the ground surface, indicating that Sub-key Stratum 1 and Sub-key Stratum 2 play a role in inhibiting vertical fracture propagation at this stage. Combined with Fig. 3 (b), a trapezoidal structure dominated by the horizontal fractures of Sub-key Stratum 2 is formed, and the inhibition of vertical fracture propagation at this Stageis mainly dominated by the relatively higher Sub-key Stratum 2. Stage③: The 4 # coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The subsidence of the three key strata and the ground surface continues to increase, mainly concentrated in the range of 300m to 900m of the measuring point. The subsidence of the Main Key Stratum and the ground surface increases especially significantly, and all three key strata play a role in inhibiting vertical fracture propagation at this stage. Combined with Fig. 3 (c), a trapezoidal structure dominated by the horizontal fractures of the Main Key Stratum is formed, indicating that the inhibition of vertical fracture propagation at this Stageis mainly dominated by the relatively higher Main Key Stratum. Stage④: The 4 # coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The subsidence of the three key strata and the ground surface does not change significantly, but the subsidence range increases significantly. Combined with the result of the increased horizontal range of the trapezoidal structure in Fig. 3 (d), it indicates that this Stagecontinues the mode where all three key strata play a role in inhibiting vertical fracture propagation, but dominated by the higher Main Key Stratum. Stage⑤: The 2 # coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 at the 400m measuring point increases significantly, while there is no obvious change at other measuring points, indicating that Sub-key Stratum 1 still has residual strength under the influence of repeated mining of the upper 2 # coal seam. Combined with Fig. 3 (e), a trapezoidal structure with the horizontal fractures of Sub-key Stratum 1 as the upper base is formed again at this stage, indicating that Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Stage⑥: The 2 # coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 in the range of 300m to 700m of the measuring point increases significantly, indicating that the two key strata still have residual strength and both play a role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Combined with Fig. 3 (f), a trapezoidal structure with the horizontal fractures of Sub-key Stratum 2 as the upper base is formed again at this stage, indicating that Sub-key Stratum 2 plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Stage⑦: The 2 # coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 increases slightly, and the subsidence of the Main Key Stratum and the ground surface increases significantly, indicating that all three key strata still have residual strength and all play a role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Combined with Fig. 3 (g), only one trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base is formed at this stage, indicating that the Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Stage⑧: The 2 # coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). There is no obvious increase in the secondary subsidence, but the secondary subsidence range expands to 300m to 1100m. In Fig. 3 (h), this is reflected in the increased horizontal range of the trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base, indicating that this Stagecontinues the mode where all three key strata play a role in inhibiting vertical fracture propagation caused by repeated mining, but dominated by the higher Main Key Stratum. (2) Downward Mining Figure 6 shows the distribution curve of measuring point subsidence during downward mining. In the figure, the coal seam starts to advance forward from the 300m position of the measuring point. It can be seen from the figure: Stage①: The 2 # coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The law is generally the same as Stage① during upward mining, and Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation at this stage. The difference is that the subsidence at this Stageis significantly greater than that at Stage① of upward mining, which is related to the fact that the 2 # coal seam is closer to Sub-key Stratum 1 than the 4 # coal seam. It can be inferred that the closer the mining horizon is to the key stratum that inhibits vertical fracture propagation, the greater the damage to the key stratum. Stage②: The 2 # coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The law is generally the same as Stage② during upward mining. Sub-key Stratum 1 and Sub-key Stratum 2 play a role in inhibiting vertical fracture propagation at this stage, with Sub-key Stratum 2 playing the main role. The difference is that the subsidence of both key strata is significantly greater than that at Stage② of upward mining, which further verifies the inference that the closer the mining horizon is to the key stratum that inhibits vertical fracture propagation, the greater the degree of strength weakening of the key stratum. Stage③: The 2 # coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The law is generally the same as Stage③ during upward mining. All three key strata play a role in inhibiting vertical fracture propagation at this stage, with the Main Key Stratum playing the main role. The difference is that at this stage, the subsidence is still dominated by the Main Key Stratum and the ground surface, but the subsidence is also significantly greater than that at Stage③ of upward mining. This difference is also mainly related to the fact that the 2 # coal seam in downward mining is closer to the key strata, leading to greater weakening of the key strata strength. Stage④: The 2 # coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The law is generally the same as Stage④ during upward mining, continuing the mode where all three key strata play a role in inhibiting vertical fracture propagation but dominated by the higher Main Key Stratum, which is reflected in no obvious change in subsidence but an increase in subsidence range. The difference is that the 2 # coal seam in downward mining is closer to the key strata, leading to greater weakening of the key strata strength and thus significantly greater subsidence than that at Stage④ of upward mining. Stage⑤: The 4 # coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The law is generally the same as Stage⑤ during upward mining. The subsidence of Sub-key Stratum 1 at the 400m measuring point increases significantly, while there is no obvious change at other measuring points. This indicates that although no obvious trapezoidal structure with the horizontal fractures of Sub-key Stratum 1 as the upper base is observed in Fig. 4 (e), the measuring point deformation results show that it still has residual strength and plays a certain role in inhibiting vertical propagation caused by repeated mining at this stage. Stage⑥: The 4 # coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The law is generally the same as Stage⑥ during upward mining. Sub-key Stratum 1 and Sub-key Stratum 2 undergo secondary subsidence, playing a certain role in inhibiting vertical fracture propagation caused by repeated mining at this stage. The difference is that the secondary subsidence of both key strata is significantly reduced, as shown in Table 1. This indicates that although Sub-key Stratum 1 and Sub-key Stratum 2 inhibit vertical fracture propagation caused by repeated mining to a certain extent, the degree is far lower than that at Stage⑥ of upward mining, which is also the reason why no trapezoidal structure with the horizontal fractures of Sub-key Stratum 2 as the upper base is observed in Fig. 4 (f). Table.1 Differences in secondary subsidence of measurement points at Stage⑥ Measuring point position Sub key stratum 1 Sub key stratum 2 Downward /m Upward /m Downward /m Upward /m 300m 0.02 0.24 0.02 0.05 400m 1.38 4.93 0.87 3.75 500m 1.85 5.52 1.78 4.97 600m 1.93 4.32 1.21 2.05 700m 0.49 0.37 0.49 0.39 Stage⑦: The 4 # coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The law is generally the same as Stage⑦ during upward mining. The Main Key Stratum and the ground surface undergo secondary subsidence, and the Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage. The difference is that the secondary subsidence of the Main Key Stratum and the ground surface is significantly reduced, as shown in Table 2. This indicates that the strength of the Main Key Stratum in inhibiting vertical fracture propagation is significantly weaker than that at Stage⑦ of upward mining, which is confirmed by the fact that no trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base is observed in Fig. 4 (g). Table.2 Differences in secondary subsidence of measurement points at Stage⑦ Measuring point position Main key stratum Surface Downward /m Upward /m Downward /m Upward /m 300m 0.02 0.02 0.02 0.01 400m 0.03 0.02 0.02 0.04 500m 1.19 3.17 0.5 1.83 600m 1.4 2.75 1.46 2.75 700m 1.18 1.93 1.07 1.55 800m 0.95 0.63 0.9 0.63 900m 0.7 0.38 0.7 0.38 Stage⑧: The 4 # coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The law is generally the same as Stage⑧ during upward mining: there is no obvious increase in the secondary subsidence, but the secondary subsidence range expands. The Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining, but its subsidence is significantly lower than that at Stage⑧ of upward mining, as shown in Table 3. This indicates that its inhibition degree is significantly lower than that at Stage⑧ of upward mining. Table.3 Differences in secondary subsidence of measurement points at Stage⑧ Measuring point position Main key stratum Surface Downward /m Upward /m Downward /m Upward /m 300m 0.02 0 0.02 0 400m 0.04 0 0.04 0 500m 0.29 0.57 0.39 0.35 600m 0.49 0.7 0.49 0.7 700m 0.89 2.48 0.97 2.21 800m 1.1 3.05 1.15 2.45 900m 1.09 0.91 1.02 0.91 1000m 0.86 0.69 0.78 0.69 1100m 0.76 0.58 0.77 0.59 In summary, the following conclusions can be drawn: ① Key strata play a major role in inhibiting the propagation of vertical fractures in overlying strata and thus controlling surface subsidence. The overlying strata will form a trapezoidal propagation structure with the horizontal fractures of key strata as the upper base and vertical fractures as the sides. When multiple key strata all play a role in inhibiting the propagation of vertical fractures, the relatively higher key stratum plays a major inhibitory role. The propagation process of overlying strata fractures in the three key strata is shown in Fig. 7 . ② While key strata inhibit the propagation of vertical fractures in overlying strata, their strength will also be weakened. The degree of key strata inhibiting fracture propagation (the degree of controlling surface subsidence) is proportional to the degree of strength weakening, and both are proportional to the distance from the mined coal seam. Compared with downward mining, after the first coal seam is mined in upward mining, the key strata have higher strength, resulting in a stronger inhibitory effect on the propagation of vertical fractures caused by repeated mining when mining the second coal seam. 5.2 Analysis of Key Strata Subsidence Process This section is based on the fact that the subsidence of key strata reflects the degree of inhibition of vertical fracture propagation and the degree of strength weakening during this process. By analyzing the subsidence curves of key strata and the ground surface at different stages, it is judged whether the surface subsidence after multi-coal seam mining in upward mining is significantly lower than that in downward mining, and the evolution mechanism closely related to the degree of strength weakening of key strata is explored. Figure 8 shows the final subsidence distribution of the surface survey line. It can be seen from the figure that the surface subsidence of upward mining after the first and second coal seam mining is lower than that of downward mining. Among them, for the surface subsidence after the first coal seam mining, the maximum surface subsidence of upward mining is 2.64m, that of downward mining is 5.93m, which is reduced by 3.29m; for the surface subsidence after the second coal seam mining, the maximum surface subsidence of upward mining is 8.21m, that of downward mining is 9.04m, which is reduced by 0.83m. It can be concluded that under the engineering background of this paper, the surface subsidence of upward mining is significantly lower than that of downward mining, and upward mining can reduce surface subsidence. Figure 9 shows the subsidence distribution curve of the key stratum survey line at different stages during the excavation process. It can be seen from the figure: ① The excavation of each coal seam will cause a primary subsidence of the key strata. The key strata in upward mining undergo a change of small subsidence first and then large subsidence, while the opposite is true for downward mining. From another perspective, the excavation of the 2 # coal seam leads to a large amount of subsidence of the key strata, while the 4 # coal seam leads to a small amount of subsidence. This verifies the conclusion in Section 5.1 that the subsidence of key strata (i.e., the degree of strength weakening of key strata) has a close positive correlation with the distance from the excavated coal seam. ② After the excavation of the two coal seams, the final subsidence of the key strata in upward mining is less than that in downward mining. Combined with the phenomenon in ① that the key strata in upward mining undergo small subsidence first and then large subsidence, while the opposite is true for downward mining, it indicates that the final subsidence of the key strata is smaller when they first undergo small subsidence. Since the subsidence of key strata reflects the degree of their strength weakening, this conclusion can be converted into: when the strength of key strata first experiences a Stageof slight weakening, the final total degree of weakening is lower. Synthesizing the above results, the following explanation can be drawn for the phenomenon that upward mining reduces the final surface subsidence: Key strata play a major role in inhibiting the propagation of vertical fractures in overlying strata and thus controlling surface subsidence, and their strength will also be weakened during this process. The degree of key strata inhibiting fracture propagation (the degree of controlling surface subsidence) is proportional to the degree of strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, when the strength of key strata first experiences a Stageof slight weakening, the final total degree of weakening is lower. In upward mining, the coal seam farther from the key strata is mined first; the strength of the key strata is weakened less during the mining of this coal seam, leading to a lower final total degree of weakening and thus a smaller final surface subsidence. 6 Evolution Law of Overlying Strata Bed Separation Based on the aforementioned weakening mechanism of key stratum strength, the bed separation space under the key strata was statistically analyzed according to the grid distribution of the numerical model, and the results are presented in Fig. 10. It can be seen from the figure that the maximum values of the bed separation space under the three key strata appear in the order of ascending stratum position, and grouting operations should be implemented sequentially during bed separation grouting. For upward mining, the bed separation space formed during the mining of the second coal seam is significantly larger than that during the mining of the first coal seam, indicating that the grouting volume should be mainly concentrated in the mining process of the second coal seam. In contrast, the bed separation space generated during downward mining shows little difference between the two coal seams, so the grouting volume should be evenly applied. The grouting timings for the two mining sequences are shown in Table 4, and the grouting space is presented in Table 5. 7 Conclusions Taking a mine in the Fengfeng Mining Area as the engineering background, a study was conducted on the evolution law of overlying strata movement induced by surface subsidence under different mining sequences, and the following conclusions were drawn: (1) The evolution law of overlying strata fractures was revealed: Key strata play a dominant role in inhibiting the propagation of vertical fractures in overlying strata and thereby controlling surface subsidence, and the overlying strata form a trapezoidal propagation structure with horizontal fractures of key strata as the upper base and vertical fractures as the lateral sides. When multiple key strata all exert an inhibitory effect on vertical fracture propagation, the relatively higher-lying key stratum acts as the main controlling body. In addition, the propagation process of overlying strata fractures in the three key strata was clarified. (2) It was confirmed that compared with downward mining, upward mining results in a smaller surface subsidence not only after the mining of the first coal seam but also a lower total subsidence after the mining of both coal seams. The mechanism underlying this phenomenon was elucidated as follows: The strength of key strata is weakened while they inhibit fracture propagation. The degree of fracture propagation inhibition by key strata (i.e., the degree of surface subsidence control) is positively proportional to the degree of their strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, the final total degree of strength weakening of key strata is lower when their strength first undergoes a Stageof slight weakening. In upward mining, the coal seam farther from the key strata is mined first, during which the strength of key strata is weakened to a lesser extent, leading to a lower final total degree of strength weakening and thus a smaller final surface subsidence. (3) The evolution law of overlying strata bed separation was determined: The maximum bed separation space under the three key strata appears in the order of ascending stratum position, and sequential implementation is recommended for bed separation grouting accordingly. For upward mining, the bed separation space formed during the mining of the second coal seam is significantly larger than that during the mining of the first coal seam, meaning the grouting volume should be mainly concentrated in the mining process of the second coal seam; in contrast, the bed separation space shows little difference between the two coal seams in downward mining, so the grouting volume should be evenly applied. Furthermore, the bed separation space and optimal grouting timings under the two mining sequences were obtained. Declarations Author Contribution Yiqi Chen: Methodology, Validation, Project administration, Funding acquisition, Writing – review & editing. Fei Wu: Methodology, Data curation, Project administration, Writing – original draft. Jianning Hu: Data curation, Validation, Translation. Fan Li: Data curation, Validation. Shuo Cao: Data curation, Validation. Kaiqiang Sun: Data curation, Validation. Data availability statements The datasets used and/or analysed during the current study available from the corresponding author on reasonable request. Declaration of interests The authors declare that no conflict of interest exists in this manuscript, and the work is original research that has not been published previously or under consideration for publication elsewhere, in whole or in part. Funding Declaration This work was supported by the funded projects: National Natural Science Foundation of China (52504151), China Postdoctoral Science Foundation-CCTEG Joint Support Program (2025T026ZGMK), Fundamental Research Funds for the Central Universities (2025QN1003). References Jialin Xu. Research and progress of coal mine green mining in 20 years. Coal Science and Technology. 48, 1-15(2020) DOI: 10.13199/j.cnki.cst.2020.09.001 Minggao Qian, Jialin Xu, Jiachen Wang. Further on the sustainable mining of coal. Journal of China Coal Society. 43, 1-13(2018) DOI: 10.13225/j.cnki.jccs.2017.4400 Xiaofei Wang, et al. Coal production capacity allocation based on efficiency perspective‐taking production mines in shandong province as an example. Energy Policy. 171, 113270 (2022) DOI: 10.1016/j.enpol.2022.113270 Jinfeng Ju, Jialin Xu. Surface stepped subsidence related to top‐coal caving longwall mining of extremely thick coal seam under shallow cover. International Journal of Rock Mechanics and Mining Sciences. 78, 27-35(2015) DOI: 10.1016/j.ijrmms.2015.05.003 Zhaorui Jing, Jinman Wang, Yucheng Zhu, Yu Feng. Effects of land subsidence resulted from coal mining on soil nutrient distributions in a loess area of China. Journal of Cleaner Production. 177, 350-361(2018) DOI: 10.1016/j.jclepro.2017.12.191 Zhuozhi Ouyang, Liangmin Gao, Xiaoqing Chen, Suping Yao, Shihui Deng. Distribution, source apportionment and ecological risk assessment of polycyclic aromatic hydrocarbons in the surface sediments of coal mining subsidence waters. RSC Advances. 6, 71441-71449(2016) DOI:10.1039/c6ra11286b Shaojie Chen, et al. A case of large buildings construction above old mine goaf in shandong province. Journal of China Coal Society. 47, 1017–1030(2022) DOI: 10.13225/j.cnki.jccs.xr21.1687 Liming Wang, Bingnan Hu, Youxing Zhao. Stability analysis of the foundation of engineering works in coal‐mining subsidence areas. Coal Science and Technology. 34,72-75(2006) DOI: 10.13199/j.cst.2006.03.76.wangml.023 Wenbing Guo, et al. Research status and progress of overburden separation grouting technology in China coal mines. Journal of China Coal Society. 1-25; 10.13225/j.cnki.jccs.2025.1499 (2026). Jialin Xu, Dayang Xuan, Jian Li, Binglong Wang. Innovation and Development from Bedding Separation Grouting to Overburden Isolated Grouting. Journal of China Coal Society. 1-15; 10.13225/j.cnki.jccs.2025.1281 (2025) Qiang Sun, Hongzhen Nie, Yong Han, Rui Zhao. Mechanical, transportation, and microstructural characteristics and application of high-porosity coal mine solid waste filling materials: a case study. Materials . 18, 5098(2025) DOI: 10.3390/ma18225098 Yue Wang, et al. Law and mechanism of subsidence reduction of grouting in mining goaf area. Thermal science. 29, 1489-1495(2025) DOI: 10.2298/TSCI2502489W Jianghui He, Wenping Li, Wei Qiao. A rock mechanics calculation model for identifying bed separation position and analyzing overburden breakage in mining. Arabian Journal of Geosciences. 13, 920(2020) DOI: 10.1007/s12517-020-05912-8 Zhiyou Gao, Ning Jiang, Haiyang Pan, Zhenzu Qu, Chao Gong. The overburden structure characteristics and subsidence reduction mechanism of mining by overburden bed separation grouting. Energy Science & Engineering. 13, 6415-6429(2025) DOI: 10.1002/ese3.70328 Jun Zheng, Guoqing Zhou, Yuliang Zhou, Dongfeng Yuan, Tielin Zhao. Bed separation characteristics of an LTCC panel and subsidence controlling grouting: case study of Longquan coal mine, China. Shock and vibration . 2022, 3837625(2022) DOI: 10.1155/2022/3837625 Hao Teng, Jialin Xu, Dayang Xuan, Binglong Wang. Surface subsidence characteristics of grout injection into overburden: case study of Yuandian No. 2 coalmine, China. Environmental Earth Sciences. 75, 530(2016) DOI: 10.1007/s12665-016-5556-y Dayang Xuan, Jialin Xu, Binglong Wang, Hao Teng. Borehole investigation of the effectiveness of grout injection technology on coal mine subsidence control. Rock Mechanics and Rock Engineering. 48, 2435-2445(2015) DOI: 10.1007/s00603-015-0710-5 Hewen Ma, Wanghua Sui, Jianming Ni. Environmentally sustainable mining: a case study on surface subsidence control of grouting into overburden. Environmental Earth Sciences. 78, 1-15(2019) DOI: 10.1007/s12665-019-8313-1 Jian Wang, Jun Ma, Keming Yang, Shuyi Yao, Xiaoyu Shi. Effects and laws analysis for the mining technique of grouting into the overburden bedding separation. Journal of Cleaner Production. 288, 125121(2021) DOI: 10.1016/j.jclepro.2020.125121 Shichuan Zhang, et al. Spatial evolution of overburden fractures and the development of surface fractures. Applied sciences-basel . 15, 11329(2025) DOI: 10.3390/app152111329 Xinjie Liu, et al. Surface damage reduction effect of ultra-high working face in Shangwan coal mine. Scientific reports . 14, 21196(2024) DOI: 10.1038/s41598-024-72261-x Hai Wang, Yan Qin, Yuxi Guo, Nengxiong Xu. A numerical simulation of the subsidence reduction effect of different grouting schemes in multi-coal seam goafs. Applied sciences-basel . 13, 5522(2023) DOI: 10.3390/app13095522 Jianshuai Ji, et al. Research on formation mechanism and evolution pattern of bed separation zone during repeated mining in multiple coal seams. Geofluids. 2022, 1-19(2022) DOI: 10.1155/2022/4290063 Xueyang Sun, Mingjiao Lu, Cheng Li. Optimization of staggered distance of coal pillars in multiseam mining: Theoretical analysis and numerical simulation. Energy Science & Engineering, 9, 357-374(2021) DOI: 10.1002/ese3.824 Additional Declarations No competing interests reported. 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strata\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/1bd99c15a3e603f8c3773473.png"},{"id":103178380,"identity":"fbe86ad2-8860-4194-a34d-6704b8864b13","added_by":"auto","created_at":"2026-02-22 17:00:21","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":466574,"visible":true,"origin":"","legend":"\u003cp\u003eNumerical calculation model and boundary conditions\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/19a21eaf35c24a2b653c4a2c.png"},{"id":103504890,"identity":"0a770d56-c8a4-4865-975b-71f7f24a4a31","added_by":"auto","created_at":"2026-02-26 13:21:57","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":689819,"visible":true,"origin":"","legend":"\u003cp\u003eOverlying strata fracture distribution during upward mining\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/ff96ab5a3e9f16afb5dd1d79.png"},{"id":103505098,"identity":"34692c64-795a-4771-b3fe-bf7ed47c7ec3","added_by":"auto","created_at":"2026-02-26 13:23:46","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":754327,"visible":true,"origin":"","legend":"\u003cp\u003eOverlying strata fracture distribution during downward mining\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/16e9693bbd3be888ce6e5fa6.png"},{"id":103178379,"identity":"3faab663-74ae-4aa2-b8d0-3be5a7f601b6","added_by":"auto","created_at":"2026-02-22 17:00:20","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":70558,"visible":true,"origin":"","legend":"\u003cp\u003eSubsidence variation curve of key strata during upward mining\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/a7003a504375dadf2aad56d5.png"},{"id":103505160,"identity":"c6a291c1-c131-4c27-a4d3-96dcd3b91a34","added_by":"auto","created_at":"2026-02-26 13:25:39","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":61029,"visible":true,"origin":"","legend":"\u003cp\u003eSubsidence variation curve of key strata during downward mining\u003c/p\u003e","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/6fc1a8f345d93263a0da3394.png"},{"id":103178373,"identity":"53731b44-8f6e-4e4f-8f52-11263c78f1a1","added_by":"auto","created_at":"2026-02-22 17:00:20","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":137235,"visible":true,"origin":"","legend":"\u003cp\u003eTrapezoidal propagation structure of overlying strata fractures\u003c/p\u003e","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/94fbfdaab9d8f62a1bd82869.png"},{"id":103504922,"identity":"3be40426-716d-483f-a315-e02120250512","added_by":"auto","created_at":"2026-02-26 13:22:08","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":26819,"visible":true,"origin":"","legend":"\u003cp\u003eFinal subsidence distribution of surface measurement lines\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/d0582001d74e36b8aec57a82.png"},{"id":104397282,"identity":"fe648399-91a5-47ee-b868-ebbdf8815d92","added_by":"auto","created_at":"2026-03-11 11:45:58","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":55091,"visible":true,"origin":"","legend":"\u003cp\u003eSubsidence distribution curves of key strata measurement lines at different stages\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/f076b855182a279bf8dd458d.png"},{"id":103178376,"identity":"28f4dac1-c6e9-4c45-a0f6-e1fbef8f1656","added_by":"auto","created_at":"2026-02-22 17:00:20","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":54878,"visible":true,"origin":"","legend":"\u003cp\u003eBed separation space distribution curves under key strata\u003c/p\u003e","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/6dff17cfc1c0d18381690d89.png"},{"id":106809431,"identity":"96a993bd-af60-407c-9e9a-b8f4a6202174","added_by":"auto","created_at":"2026-04-13 16:10:48","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2964213,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8825625/v1/665be826-46b3-4332-bd29-1519ddab661a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Study on the Evolution Law of Overlying Strata Movement Inducing Surface Subsidence Under Different Mining Sequences of Multiple Coal Seams: A Case Study","fulltext":[{"header":"Highlights","content":"\u003cul start=\"50\"\u003e\n \u003cli\u003eThe evolution law of the trapezoidal structure of overlying strata fractures with the horizontal fractures of key strata as the upper base is found.\u003c/li\u003e\n \u003cli\u003eThe conclusion that upward mining reduces the total surface subsidence is determined and explained.\u003c/li\u003e\n \u003cli\u003eThe bed separation grouting timing and grouting volume distribution scheme under different mining sequences are proposed.\u003c/li\u003e\n\u003c/ul\u003e"},{"header":"1 Introduction","content":"\u003cp\u003eReducing surface subsidence caused by coal mining is one of the core contents of green coal mining, and it is an important part for humans to achieve harmony with nature in the process of coal resource mining\u003csup\u003e[\u003cspan citationid=\"CR1\" class=\"CitationRef\"\u003e1\u003c/span\u003e, \u003cspan citationid=\"CR2\" class=\"CitationRef\"\u003e2\u003c/span\u003e]\u003c/sup\u003e. Especially in recent decades, with the rapid increase of coal output, severe environmental problems such as large-area surface water accumulation\u003csup\u003e[\u003cspan citationid=\"CR3\" class=\"CitationRef\"\u003e3\u003c/span\u003e, \u003cspan citationid=\"CR4\" class=\"CitationRef\"\u003e4\u003c/span\u003e]\u003c/sup\u003e, soil and water loss in mining areas\u003csup\u003e[5,6]\u003c/sup\u003e and building damage\u003csup\u003e[7,8]\u003c/sup\u003e have appeared in the subsidence areas after coal mining, which greatly restricts the high-quality development of China's economy and society. Minimizing surface subsidence caused by coal mining has become a long-term difficult problem\u003csup\u003e[9,10]\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eAmong the existing subsidence-reducing mining technologies, backfill mining technology has obvious advantages in scenarios that require strict control of surface subsidence (such as \"mining under three conditions\"), but its high cost and complex engineering implementation requirements limit its large-scale application\u003csup\u003e[\u003cspan citationid=\"CR11\" class=\"CitationRef\"\u003e11\u003c/span\u003e]\u003c/sup\u003e. Therefore, under conventional geological and mining conditions, most researches and practices tend to adopt the subsidence-reducing technology system dominated by overlying strata bed separation grouting and supplemented by mining process optimization. Based on this, this paper will focus on the latter, and backfill mining technology is not within the scope of this study.\u003c/p\u003e \u003cp\u003eThe evolution law of overlying strata movement is the foundation of all subsidence-reducing mining technologies, and the core influence of key overlying strata is an industry consensus. In the research on overlying strata bed separation grouting, Wang used a similar simulation method and proved that bed separation grouting can significantly reduce subsidence\u003csup\u003e[\u003cspan citationid=\"CR12\" class=\"CitationRef\"\u003e12\u003c/span\u003e]\u003c/sup\u003e. He established a triangular calculation model that can identify the bed separation position and analyze overlying strata breakage, and gave the discrimination principle and related calculation formulas of the model\u003csup\u003e[13]\u003c/sup\u003e. Gao found that grouting in the bed separation area forms a dense support body, which compacts the overlying rock strata, thereby preventing the key strata from breaking under its own gravity and minimizing surface subsidence caused by coal mining\u003csup\u003e[\u003cspan citationid=\"CR14\" class=\"CitationRef\"\u003e14\u003c/span\u003e]\u003c/sup\u003e. Zheng used numerical simulation and found that bed separation exists in the upper, middle and lower parts of the overlying strata: the bed separation in the lower overlying strata occurs first and the middle part last, so the bed separation grouting operation should be started before the bed separation in the middle overlying strata closes\u003csup\u003e[\u003cspan citationid=\"CR15\" class=\"CitationRef\"\u003e15\u003c/span\u003e]\u003c/sup\u003e. Teng proposed to comprehensively evaluate the dynamic process of surface subsidence using maximum subsidence, horizontal displacement and subsidence rate, and found that the three indicators decreased significantly after bed separation grouting through on-site measurement\u003csup\u003e[\u003cspan citationid=\"CR16\" class=\"CitationRef\"\u003e16\u003c/span\u003e]\u003c/sup\u003e. Xuan evaluated the effect of overlying strata bed separation grouting through two surface boreholes and found that the injected fly ash was compacted after 7 months; the central cavity area endured the maximum possible compression and became the foundation supported by cement slurry, which enables the cement slurry to inhibit the deformation of the strata above it and thus reduce surface subsidence\u003csup\u003e[\u003cspan citationid=\"CR17\" class=\"CitationRef\"\u003e17\u003c/span\u003e]\u003c/sup\u003e. Ma studied the separation process and distribution of overlying strata in view of the difficulty in forming large-scale bed separation space under the condition of no obvious key strata, and effectively controlled surface subsidence by increasing the number of boreholes and grouting layers\u003csup\u003e[\u003cspan citationid=\"CR18\" class=\"CitationRef\"\u003e18\u003c/span\u003e]\u003c/sup\u003e. Wang proposed an analysis method for the effect of bed separation grouting mining technology, conducted detailed analysis on three grouting working faces in Linhuan Coal Mine, and found that the surface subsidence reduction rate related to grouting ratio was consistent with the actual situation, which can be used for grouting working face design and surface subsidence prediction\u003csup\u003e[\u003cspan citationid=\"CR19\" class=\"CitationRef\"\u003e19\u003c/span\u003e]\u003c/sup\u003e. In the research on optimizing mining technology, Zhang used numerical simulation and found that increasing mining depth would reduce the maximum surface subsidence, subsidence coefficient and surface crack opening size\u003csup\u003e[\u003cspan citationid=\"CR21\" class=\"CitationRef\"\u003e20\u003c/span\u003e]\u003c/sup\u003e. Liu proposed to slow down surface subsidence from the source by optimizing working face parameters such as working face length and height, and provided a basis for working face optimal design and surface ecological management timing selection through on-site investigation in Shangwan Coal Mine\u003csup\u003e[\u003cspan citationid=\"CR22\" class=\"CitationRef\"\u003e21\u003c/span\u003e]\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eThe above studies focus on reducing surface subsidence through overlying strata bed separation grouting during single coal seam mining. However, the evolution law of overlying strata movement under multi-coal seam occurrence conditions is more complex, and the subsidence-reducing mining technology based on this is more challenging. Wang used numerical simulation to study the influence of coal seam spacing under the subgrade, grouting range and grouting timing on the subsidence control effect of multi-layer goaf\u003csup\u003e[22]\u003c/sup\u003e. Ji analyzed the evolution law of bed separation area under four conditions: single key stratum between coal seams, key stratum above all coal seams, multiple key strata all above all coal seams, and multiple key strata alternately distributed with coal seams. He found that the bed separation space mainly occurs below the highest key stratum; when the key stratum is above all coal seams, if the seam spacing is less than four times the mining height of the lower coal seam, fractures will penetrate the upper coal seam; if the key stratum is not completely broken during the mining of the upper coal seam, secondary bed separation may occur\u003csup\u003e[\u003cspan citationid=\"CR24\" class=\"CitationRef\"\u003e23\u003c/span\u003e]\u003c/sup\u003e. Sun discussed the influence of staggered spacing on surface subsidence in multi-coal seam mining, and found that the optimal staggered spacing between the 2nd and 3rd coal seams is 40m, while the most unfavorable is 0m. Sheng established a numerical relationship between rock mass movement and deformation after multiple mining disturbances and coal seam spacing, and constructed a two-dimensional calculation model for the final state of rock mass movement in multi-coal seam mining, which can obtain the position and degree of bed separation development in multi-coal seam mining\u003csup\u003e[24]\u003c/sup\u003e.\u003c/p\u003e \u003cp\u003eThe above research provides sufficient research basis and theoretical support for this study, but there are still deficiencies in the research on subsidence-reducing mining technology under multi-coal seam conditions, and some problems that are expected to significantly improve the subsidence-reducing effect have not yet reached conclusions. For example: ① During multi-coal seam mining, the subsidence change characteristics of key overlying strata are an important part of the overlying strata movement law, and the relationship between them, bed separation space and surface subsidence change has not been solved, which is crucial for further exploring the evolution mechanism of surface subsidence and adopting more scientific subsidence-reducing measures; ② The subsidence-reducing effect of upward mining in the first coal seam mining is unquestionable, but it remains unclear whether the surface subsidence after multi-coal seam mining is still significantly lower than that of downward mining. If so, choosing upward mining under the condition of ensuring the stability of interlayer rock strata will also become one of the subsidence-reducing mining technologies based on optimized mining technology. This paper will carry out research based on the on-site conditions of two mining coal seams and three key strata in a mine in Fengfeng Mining Area, which will provide a scientific basis for surface subsidence control of the mine and improve China's subsidence-reducing technology system dominated by overlying strata bed separation grouting and supplemented by mining process optimization.\u003c/p\u003e"},{"header":"2 Engineering Background","content":"\u003cp\u003eThe on-site conditions of a mine in Fengfeng Mining Area are selected as the engineering background. The mining area of the mine is mainly located under villages, which puts forward high requirements for surface subsidence caused by mining. The main coal-bearing strata in the mine field are the Shanxi Formation of the Lower Permian and the Taiyuan Formation of the Upper Carboniferous. Among them, the 2\u003csup\u003e#\u003c/sup\u003e coal seam of the Shanxi Formation and the 4\u003csup\u003e#\u003c/sup\u003e coal seam of the Taiyuan Formation are the main mining coal seams of the mine. The 2\u003csup\u003e#\u003c/sup\u003e coal seam has a thickness of 7m and a buried depth of 570.1m. It adopts the strike longwall retreating, light hydraulic support fully mechanized top-coal caving mining technology, and the full caving method is used to manage the roof. The lithology of the roof and floor of this coal seam is siltstone. The 4\u003csup\u003e#\u003c/sup\u003e coal seam has a thickness of 3m and a buried depth of 610.29m. It adopts the strike longwall retreating and high-grade conventional mining technology, and the full caving method is used to manage the roof. The lithology of the roof and floor of this coal seam is Yeqing limestone and argillaceous sandstone respectively. The borehole column diagram of the mine rock strata is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e"},{"header":"3 Establishment of Numerical Model","content":"\u003cp\u003eThe UDEC numerical simulation software is selected for modeling. UDEC is a two-dimensional discrete element analysis software based on the Lagrangian algorithm, which is suitable for analyzing the mechanical properties of discontinuous media. In UDEC, the blocks are set as deformable bodies, and the rock blocks show continuous medium mechanical properties under external forces. Joints are set between adjacent blocks, and the rock blocks are connected through joint surfaces. Under external forces, the joint surfaces will be deformed by force; when the deformation reaches its own limit, the joints will undergo shear dislocation or sliding instability failure, which can just simulate the rock mass failure phenomenon.\u003c/p\u003e \u003cp\u003eA model as shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e is established, with a size of 1100m\u0026times;624m. The thicknesses of the 2\u003csup\u003e#\u003c/sup\u003e and 4\u003csup\u003e#\u003c/sup\u003e coal seams are taken as 3m and 7m respectively. The rock strata are regarded as elastic blocks, and the rock strata are discretized by setting joints between the blocks. The rock strata failure is simulated by the failure of the joints. The upper surface of the model is the ground surface, which is a free boundary condition without applying stress and displacement conditions. The side boundary conditions of the model adopt rolling support, that is, limiting the displacement in the x-direction at the model boundary and limiting the displacement in the y-direction at the model bottom boundary. According to the surface borehole column diagram, it is determined that there are 3 key layers in the overlying strata, and their distribution is shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e.\u003c/p\u003e\u003cp\u003eTwo groups of numerical calculation tests are carried out: ① upward mining (mining 4\u003csup\u003e#\u003c/sup\u003e coal seam first, then 2\u003csup\u003e#\u003c/sup\u003e coal seam), ② downward mining (mining 2\u003csup\u003e#\u003c/sup\u003e coal seam first, then 4\u003csup\u003e#\u003c/sup\u003e coal seam). By monitoring the characteristics of key strata subsidence change, overlying strata bed separation space change and surface subsidence change during coal seam mining, the study on the evolution law of overlying strata movement under different mining sequences is realized.\u003c/p\u003e"},{"header":"4 Evolution Law of Overlying Strata Fractures","content":"\u003cp\u003eDuring the simulated mining process, the overlying strata fracture distribution at different stages was monitored. It was found that the overlying strata fractures present a trapezoidal propagation structure with the horizontal fractures of the key strata as the upper base and the vertical fractures as the sides: the main overlying strata fractures first propagate vertically along the fracture angle direction, and it is difficult to continue expanding upward when they extend to the key strata, turning into horizontal propagation fractures along the key strata. At the same time, vertical fractures mirrored by the midline of the horizontal fractures are formed in the advance area, showing a trapezoidal structure as a whole. The differences in trapezoidal fracture evolution under different mining sequences are analyzed below.\u003c/p\u003e\n\u003cp\u003eFigure\u0026nbsp;3 shows the overlying strata fracture distribution during upward mining. It can be seen from the figure that when the lower 4\u003csup\u003e#\u003c/sup\u003e coal seam is mined first, the vertical fractures form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum, and two trapezoidal fracture structures are formed in the third key stratum (a small number of vertical fractures extend to the ground in the second time). When continuing to mine the upper 2\u003csup\u003e#\u003c/sup\u003e coal seam, the vertical fractures still form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum, and two trapezoidal fracture structures are still formed in the Main Key Stratum (the number of vertical fractures extending to the ground increases significantly in the second time). This indicates that the key strata are the main structure inhibiting the upward propagation of vertical fractures. After suffering mining damage from the lower 4\u003csup\u003e#\u003c/sup\u003e coal seam, the three key strata still retain residual strength to inhibit the upward propagation of vertical fractures again when mining the upper 2\u003csup\u003e#\u003c/sup\u003e coal seam.\u003c/p\u003e\n\u003cp\u003eFigure\u0026nbsp;4 shows the overlying strata fracture distribution during downward mining. It can be seen from the figure that when the upper 2\u003csup\u003e#\u003c/sup\u003e coal seam is mined first, the vertical fractures form trapezoidal fracture structures when extending to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum. Similarly, two trapezoidal fracture structures are formed in the third key stratum (a small number of vertical fractures extend to the ground in the second time). However, when continuing to mine the lower 4\u003csup\u003e#\u003c/sup\u003e coal seam, no obvious trapezoidal fracture structures are formed when the vertical fractures extend to Sub-key Stratum 1, Sub-key Stratum 2 and the Main Key Stratum. Moreover, the number of vertical fractures extending to the ground is significantly more than the results in Fig. 3 (e), (f) and (g). This indicates that after suffering mining damage from the upper 2\u003csup\u003e#\u003c/sup\u003e coal seam, the residual strength of the three key strata is difficult to inhibit the upward propagation of vertical fractures again when mining the lower 4\u003csup\u003e#\u003c/sup\u003e coal seam.\u003c/p\u003e"},{"header":"5 Evolution Law of Overlying Strata Movement","content":"\u003cdiv id=\"Sec6\" class=\"Section2\"\u003e\n \u003ch2\u003e5.1 Analysis of Key Strata Subsidence Differences\u003c/h2\u003e\n \u003cp\u003eThe strength of key strata is the main reason for their ability to inhibit vertical fracture propagation. However, their strength weakens synchronously while inhibiting propagation, which is reflected in the weakened part of the key stratum forming horizontal fractures and subsiding downward. Therefore, the degree of inhibition of vertical fracture propagation by key strata and the degree of strength weakening during this process can be judged according to the subsidence of key strata. To accurately verify the phenomena observed in Section 4, measuring points are arranged on the three key strata and the ground surface. By analyzing the differences in key strata subsidence at different stages, the key stratum that plays a major role in inhibiting vertical fracture propagation at each Stageis determined.\u003c/p\u003e\n \u003cp\u003e(1) Upward Mining\u003c/p\u003e\n \u003cp\u003eFigure\u0026nbsp;5 shows the variation curve of measuring point subsidence during upward mining. In the figure, the coal seam starts to advance forward from the 300m position of the measuring point. It can be seen from the figure:\u003c/p\u003e\n \u003cp\u003eStage①: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). Sub-key Stratum 1 subsides at the measuring point from 300m to 500m, and the horizontal fractures of this key stratum form the trapezoidal fracture structure shown in Fig. 3 (a). This indicates that Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation at this stage, and its strength weakens and subsidence occurs during this process.\u003c/p\u003e\n \u003cp\u003eStage②: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). All three key strata and the ground surface subside at the measuring point from 300m to 700m, and the subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 is significantly higher than that of the Main Key Stratum and the ground surface, indicating that Sub-key Stratum 1 and Sub-key Stratum 2 play a role in inhibiting vertical fracture propagation at this stage. Combined with Fig. 3 (b), a trapezoidal structure dominated by the horizontal fractures of Sub-key Stratum 2 is formed, and the inhibition of vertical fracture propagation at this Stageis mainly dominated by the relatively higher Sub-key Stratum 2.\u003c/p\u003e\n \u003cp\u003eStage③: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The subsidence of the three key strata and the ground surface continues to increase, mainly concentrated in the range of 300m to 900m of the measuring point. The subsidence of the Main Key Stratum and the ground surface increases especially significantly, and all three key strata play a role in inhibiting vertical fracture propagation at this stage. Combined with Fig. 3 (c), a trapezoidal structure dominated by the horizontal fractures of the Main Key Stratum is formed, indicating that the inhibition of vertical fracture propagation at this Stageis mainly dominated by the relatively higher Main Key Stratum.\u003c/p\u003e\n \u003cp\u003eStage④: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The subsidence of the three key strata and the ground surface does not change significantly, but the subsidence range increases significantly. Combined with the result of the increased horizontal range of the trapezoidal structure in Fig. 3 (d), it indicates that this Stagecontinues the mode where all three key strata play a role in inhibiting vertical fracture propagation, but dominated by the higher Main Key Stratum.\u003c/p\u003e\n \u003cp\u003eStage⑤: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 at the 400m measuring point increases significantly, while there is no obvious change at other measuring points, indicating that Sub-key Stratum 1 still has residual strength under the influence of repeated mining of the upper 2\u003csup\u003e#\u003c/sup\u003e coal seam. Combined with Fig. 3 (e), a trapezoidal structure with the horizontal fractures of Sub-key Stratum 1 as the upper base is formed again at this stage, indicating that Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage.\u003c/p\u003e\n \u003cp\u003eStage⑥: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 in the range of 300m to 700m of the measuring point increases significantly, indicating that the two key strata still have residual strength and both play a role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Combined with Fig. 3 (f), a trapezoidal structure with the horizontal fractures of Sub-key Stratum 2 as the upper base is formed again at this stage, indicating that Sub-key Stratum 2 plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage.\u003c/p\u003e\n \u003cp\u003eStage⑦: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The subsidence of Sub-key Stratum 1 and Sub-key Stratum 2 increases slightly, and the subsidence of the Main Key Stratum and the ground surface increases significantly, indicating that all three key strata still have residual strength and all play a role in inhibiting vertical fracture propagation caused by repeated mining at this stage. Combined with Fig. 3 (g), only one trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base is formed at this stage, indicating that the Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage.\u003c/p\u003e\n \u003cp\u003eStage⑧: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). There is no obvious increase in the secondary subsidence, but the secondary subsidence range expands to 300m to 1100m. In Fig. 3 (h), this is reflected in the increased horizontal range of the trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base, indicating that this Stagecontinues the mode where all three key strata play a role in inhibiting vertical fracture propagation caused by repeated mining, but dominated by the higher Main Key Stratum.\u003c/p\u003e\n \u003cp\u003e(2) Downward Mining\u003c/p\u003e\n \u003cp\u003eFigure\u0026nbsp;6 shows the distribution curve of measuring point subsidence during downward mining. In the figure, the coal seam starts to advance forward from the 300m position of the measuring point. It can be seen from the figure:\u003c/p\u003e\n \u003cp\u003eStage①: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The law is generally the same as Stage① during upward mining, and Sub-key Stratum 1 plays a major role in inhibiting vertical fracture propagation at this stage. The difference is that the subsidence at this Stageis significantly greater than that at Stage① of upward mining, which is related to the fact that the 2\u003csup\u003e#\u003c/sup\u003e coal seam is closer to Sub-key Stratum 1 than the 4\u003csup\u003e#\u003c/sup\u003e coal seam. It can be inferred that the closer the mining horizon is to the key stratum that inhibits vertical fracture propagation, the greater the damage to the key stratum.\u003c/p\u003e\n \u003cp\u003eStage②: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The law is generally the same as Stage② during upward mining. Sub-key Stratum 1 and Sub-key Stratum 2 play a role in inhibiting vertical fracture propagation at this stage, with Sub-key Stratum 2 playing the main role. The difference is that the subsidence of both key strata is significantly greater than that at Stage② of upward mining, which further verifies the inference that the closer the mining horizon is to the key stratum that inhibits vertical fracture propagation, the greater the degree of strength weakening of the key stratum.\u003c/p\u003e\n \u003cp\u003eStage③: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The law is generally the same as Stage③ during upward mining. All three key strata play a role in inhibiting vertical fracture propagation at this stage, with the Main Key Stratum playing the main role. The difference is that at this stage, the subsidence is still dominated by the Main Key Stratum and the ground surface, but the subsidence is also significantly greater than that at Stage③ of upward mining. This difference is also mainly related to the fact that the 2\u003csup\u003e#\u003c/sup\u003e coal seam in downward mining is closer to the key strata, leading to greater weakening of the key strata strength.\u003c/p\u003e\n \u003cp\u003eStage④: The 2\u003csup\u003e#\u003c/sup\u003e coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The law is generally the same as Stage④ during upward mining, continuing the mode where all three key strata play a role in inhibiting vertical fracture propagation but dominated by the higher Main Key Stratum, which is reflected in no obvious change in subsidence but an increase in subsidence range. The difference is that the 2\u003csup\u003e#\u003c/sup\u003e coal seam in downward mining is closer to the key strata, leading to greater weakening of the key strata strength and thus significantly greater subsidence than that at Stage④ of upward mining.\u003c/p\u003e\n \u003cp\u003eStage⑤: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 200m (the coal from 300m to 500m of the measuring point is excavated). The law is generally the same as Stage⑤ during upward mining. The subsidence of Sub-key Stratum 1 at the 400m measuring point increases significantly, while there is no obvious change at other measuring points. This indicates that although no obvious trapezoidal structure with the horizontal fractures of Sub-key Stratum 1 as the upper base is observed in Fig. 4 (e), the measuring point deformation results show that it still has residual strength and plays a certain role in inhibiting vertical propagation caused by repeated mining at this stage.\u003c/p\u003e\n \u003cp\u003eStage⑥: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 400m (the coal from 300m to 700m of the measuring point is excavated). The law is generally the same as Stage⑥ during upward mining. Sub-key Stratum 1 and Sub-key Stratum 2 undergo secondary subsidence, playing a certain role in inhibiting vertical fracture propagation caused by repeated mining at this stage. The difference is that the secondary subsidence of both key strata is significantly reduced, as shown in Table 1. This indicates that although Sub-key Stratum 1 and Sub-key Stratum 2 inhibit vertical fracture propagation caused by repeated mining to a certain extent, the degree is far lower than that at Stage⑥ of upward mining, which is also the reason why no trapezoidal structure with the horizontal fractures of Sub-key Stratum 2 as the upper base is observed in Fig. 4 (f).\u003c/p\u003e\n \u003cp\u003eTable.1 Differences in secondary subsidence of measurement points at Stage⑥\u003c/p\u003e\n \u003cdiv class=\"gridtable\"\u003e\n \u003ctable id=\"Tabd\" border=\"1\"\u003e\n \u003cthead\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" rowspan=\"2\"\u003e\n \u003cp\u003eMeasuring\u003c/p\u003e\n \u003cp\u003epoint position\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eSub key stratum 1\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eSub key stratum 2\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\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\"\u003e\n \u003cp\u003e300m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.24\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.05\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e400m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.38\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e4.93\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.87\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e3.75\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e500m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.85\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e5.52\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.78\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e4.97\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e600m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.93\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e4.32\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.21\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.05\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e700m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.49\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.37\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.49\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.39\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n \u003c/div\u003e\n \u003cp\u003e\u003cbr\u003e\u003c/p\u003e\n \u003cp\u003eStage⑦: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 600m (the coal from 300m to 900m of the measuring point is excavated). The law is generally the same as Stage⑦ during upward mining. The Main Key Stratum and the ground surface undergo secondary subsidence, and the Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining at this stage. The difference is that the secondary subsidence of the Main Key Stratum and the ground surface is significantly reduced, as shown in Table 2. This indicates that the strength of the Main Key Stratum in inhibiting vertical fracture propagation is significantly weaker than that at Stage⑦ of upward mining, which is confirmed by the fact that no trapezoidal structure with the horizontal fractures of the Main Key Stratum as the upper base is observed in Fig. 4 (g).\u003c/p\u003e\n \u003cp\u003eTable.2 Differences in secondary subsidence of measurement points at Stage⑦\u003c/p\u003e\n \u003ctable id=\"Tabe\" border=\"1\"\u003e\n \u003cthead\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" rowspan=\"2\"\u003e\n \u003cp\u003eMeasuring\u003c/p\u003e\n \u003cp\u003epoint position\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eMain key stratum\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eSurface\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\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\"\u003e\n \u003cp\u003e300m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.01\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e400m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.03\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.04\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e500m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.19\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e3.17\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e1.83\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e600m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.4\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.75\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.46\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.75\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e700m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.18\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e1.93\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e\u003cstrong\u003e1.55\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e800m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.95\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.63\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.9\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.63\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e900m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.38\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.38\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n \u003cp\u003e\u003c/p\u003e\n \u003cp\u003e\u003cbr\u003e\u003c/p\u003e\n \u003cp\u003eStage⑧: The 4\u003csup\u003e#\u003c/sup\u003e coal seam advances 800m (the coal from 300m to 1100m of the measuring point is excavated). The law is generally the same as Stage⑧ during upward mining: there is no obvious increase in the secondary subsidence, but the secondary subsidence range expands. The Main Key Stratum plays a major role in inhibiting vertical fracture propagation caused by repeated mining, but its subsidence is significantly lower than that at Stage⑧ of upward mining, as shown in Table 3. This indicates that its inhibition degree is significantly lower than that at Stage⑧ of upward mining.\u003c/p\u003e\n \u003cp\u003eTable.3 Differences in secondary subsidence of measurement points at Stage⑧\u003c/p\u003e\n \u003ctable id=\"Tabf\" border=\"1\"\u003e\n \u003cthead\u003e\n \u003ctr\u003e\n \u003cth align=\"left\" rowspan=\"2\"\u003e\n \u003cp\u003eMeasuring\u003c/p\u003e\n \u003cp\u003epoint position\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eMain key stratum\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\" colspan=\"2\"\u003e\n \u003cp\u003eSurface\u003c/p\u003e\n \u003c/th\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eDownward /m\u003c/p\u003e\n \u003c/th\u003e\n \u003cth align=\"left\"\u003e\n \u003cp\u003eUpward /m\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\"\u003e\n \u003cp\u003e300m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e400m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.04\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.04\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e500m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.29\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e0.57\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.39\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e0.35\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e600m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.49\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e0.7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.49\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e0.7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e700m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.89\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.48\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.97\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.21\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e800m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e3.05\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e\u003cstrong\u003e2.45\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e900m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.09\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e1.02\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.91\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e1000m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.86\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.69\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.78\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.69\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e1100m\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.76\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.58\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"char\"\u003e\n \u003cp\u003e0.77\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd align=\"left\"\u003e\n \u003cp\u003e0.59\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n \u003cp\u003e\u003c/p\u003e\n \u003cp\u003e\u003cbr\u003e\u003c/p\u003e\n \u003cp\u003eIn summary, the following conclusions can be drawn:\u003c/p\u003e\n \u003cp\u003e① Key strata play a major role in inhibiting the propagation of vertical fractures in overlying strata and thus controlling surface subsidence. The overlying strata will form a trapezoidal propagation structure with the horizontal fractures of key strata as the upper base and vertical fractures as the sides. When multiple key strata all play a role in inhibiting the propagation of vertical fractures, the relatively higher key stratum plays a major inhibitory role. The propagation process of overlying strata fractures in the three key strata is shown in Fig. \u003cspan class=\"InternalRef\"\u003e7\u003c/span\u003e.\u003c/p\u003e\n \u003cp\u003e② While key strata inhibit the propagation of vertical fractures in overlying strata, their strength will also be weakened. The degree of key strata inhibiting fracture propagation (the degree of controlling surface subsidence) is proportional to the degree of strength weakening, and both are proportional to the distance from the mined coal seam. Compared with downward mining, after the first coal seam is mined in upward mining, the key strata have higher strength, resulting in a stronger inhibitory effect on the propagation of vertical fractures caused by repeated mining when mining the second coal seam.\u003c/p\u003e\n\u003c/div\u003e\n\u003cdiv id=\"Sec7\" class=\"Section2\"\u003e\n \u003ch2\u003e5.2 Analysis of Key Strata Subsidence Process\u003c/h2\u003e\n \u003cp\u003eThis section is based on the fact that the subsidence of key strata reflects the degree of inhibition of vertical fracture propagation and the degree of strength weakening during this process. By analyzing the subsidence curves of key strata and the ground surface at different stages, it is judged whether the surface subsidence after multi-coal seam mining in upward mining is significantly lower than that in downward mining, and the evolution mechanism closely related to the degree of strength weakening of key strata is explored.\u003c/p\u003e\n \u003cp\u003eFigure \u003cspan class=\"InternalRef\"\u003e8\u003c/span\u003e shows the final subsidence distribution of the surface survey line. It can be seen from the figure that the surface subsidence of upward mining after the first and second coal seam mining is lower than that of downward mining. Among them, for the surface subsidence after the first coal seam mining, the maximum surface subsidence of upward mining is 2.64m, that of downward mining is 5.93m, which is reduced by 3.29m; for the surface subsidence after the second coal seam mining, the maximum surface subsidence of upward mining is 8.21m, that of downward mining is 9.04m, which is reduced by 0.83m. It can be concluded that under the engineering background of this paper, the surface subsidence of upward mining is significantly lower than that of downward mining, and upward mining can reduce surface subsidence.\u003c/p\u003e\n \u003cp\u003eFigure\u0026nbsp;9 shows the subsidence distribution curve of the key stratum survey line at different stages during the excavation process. It can be seen from the figure:\u003c/p\u003e\n \u003cp\u003e① The excavation of each coal seam will cause a primary subsidence of the key strata. The key strata in upward mining undergo a change of small subsidence first and then large subsidence, while the opposite is true for downward mining. From another perspective, the excavation of the 2\u003csup\u003e#\u003c/sup\u003e coal seam leads to a large amount of subsidence of the key strata, while the 4\u003csup\u003e#\u003c/sup\u003e coal seam leads to a small amount of subsidence. This verifies the conclusion in Section 5.1 that the subsidence of key strata (i.e., the degree of strength weakening of key strata) has a close positive correlation with the distance from the excavated coal seam.\u003c/p\u003e\n \u003cp\u003e② After the excavation of the two coal seams, the final subsidence of the key strata in upward mining is less than that in downward mining. Combined with the phenomenon in ① that the key strata in upward mining undergo small subsidence first and then large subsidence, while the opposite is true for downward mining, it indicates that the final subsidence of the key strata is smaller when they first undergo small subsidence. Since the subsidence of key strata reflects the degree of their strength weakening, this conclusion can be converted into: when the strength of key strata first experiences a Stageof slight weakening, the final total degree of weakening is lower.\u003c/p\u003e\n \u003cp\u003eSynthesizing the above results, the following explanation can be drawn for the phenomenon that upward mining reduces the final surface subsidence: Key strata play a major role in inhibiting the propagation of vertical fractures in overlying strata and thus controlling surface subsidence, and their strength will also be weakened during this process. The degree of key strata inhibiting fracture propagation (the degree of controlling surface subsidence) is proportional to the degree of strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, when the strength of key strata first experiences a Stageof slight weakening, the final total degree of weakening is lower. In upward mining, the coal seam farther from the key strata is mined first; the strength of the key strata is weakened less during the mining of this coal seam, leading to a lower final total degree of weakening and thus a smaller final surface subsidence.\u003c/p\u003e\n\u003c/div\u003e"},{"header":"6 Evolution Law of Overlying Strata Bed Separation","content":"\u003cp\u003eBased on the aforementioned weakening mechanism of key stratum strength, the bed separation space under the key strata was statistically analyzed according to the grid distribution of the numerical model, and the results are presented in Fig.\u0026nbsp;10. It can be seen from the figure that the maximum values of the bed separation space under the three key strata appear in the order of ascending stratum position, and grouting operations should be implemented sequentially during bed separation grouting. For upward mining, the bed separation space formed during the mining of the second coal seam is significantly larger than that during the mining of the first coal seam, indicating that the grouting volume should be mainly concentrated in the mining process of the second coal seam. In contrast, the bed separation space generated during downward mining shows little difference between the two coal seams, so the grouting volume should be evenly applied. The grouting timings for the two mining sequences are shown in Table\u0026nbsp;4, and the grouting space is presented in Table\u0026nbsp;5.\u003c/p\u003e \u003cp\u003e\u003cimg 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N5BXEzANI7MfLQJNgzh9DcpFy/LDH/6wnPi7SweBMMGZiBrjmSCQfe0lmFRMjnVNlmdMeDSOiJ5zk5G2ow020bg2uQAXBAp5oG2Blb5UJ07IByFAWtIWH5lxLk8uHPLrbXt6vquAnNbvmTD1N6SDsKGc8POLwJhc6/EH8xgGFT7yNfkj0a4jxTBDHgmJCCdhQbzehqIoArmvntNezNQIIg2jdqjuISjVMQ0poVZfEpBl5AN+VZzelAkBQ9y9w/qk/okMG68cIzIIkzprN30JFvJCjBF81gPnAxHkVSeO8CHYdJWXMU/fqu5rJ/VAvtTBGErbjEwizupfxa1+EU/vwNixY4M7gjHZPWMLwcZ12BOsCK/yNF4i7/U29UxPAvzqYwQiTfDwbnq+cXw3tiOm3hd4yF8846jx2ztPWNFXlVMwThNYvVuIrPam7TWfNBMEpZehsxBIYjol7dmBz5pw+PIYcEj/BsnuqmkgMiA3i2PSZKKmiasCKbse16AlDhMQbQczpoGKKezQQw+tR514bHA0GCM3zHRIxU5DWAAAEABJREFUL0LBFCe9iRH/e2CQRizdYyqihfjvrR79ILWIr3SUzyDaowcnRDLZTPiZ+J+fLS0AraV0aGSQxYkRenlg4qNRoblGIjfZZJNuUzAZFUVRugA0i2iSqdrKr4miIoP1+CYiZszqGhKAlBRFUV3q9tckiVTw92WGRHRNQsrX1YPyrBNqE1dRFNFV/+sqnd5eRx5gS9vKTYKZVRq0YgOdt3x6G7wLMEVMaJ+4JzindeptWt3FR1C9U8hTV/FoZPWjKrA4NOtPXT3feJ2GkWDEvxbR4ZrC+sF6ow8ioNUzyKsyOteG+ksrtpfy1QOtJ2Jm/KORRsi4ZHi/6vEcGwNZKkaOHFmawJnoXRcIDMbWCnuaTPh4b5nJxelLIKhXafqlcW1GmhvT9v7W8yWUaiPxaMW5DklPYNqnweZKQPAgWCGn3MrMTZ7J0LkITNW5Vcua9QUBmlJaUn5vzCrdpUFTyqeJJrQxHg2TCQsBq+7RaDQSNfdM8F/84heDyVkwINEQkKrdbwzMPIhYdZ25ySBs4Kuu1X8rk6J8aLnq93pyzH+PKQ9hN9Eh0ZN7jkmadM9HqorLz8ugakKl0WHCo0k1oVZxevsLB2ZxacGrKLonhrS22rWZpop5krmfpqYqhwU31XH1S1OKXGiHSvulrQkdJn/xnMPKcbOgH8CI75hFGxZ0MaMSZprFNwEzx9P2VPdpB2kG64SrmujkLVRxp/SXEEHjxpyovAhqT/Ce0nz78jzsvcNIHMHNO0iwYprvKj2Cnufcp7XzO7mgH9AQ8n1tFpf2kiDm/anuc+9pRrCq+81+69eMC0zEiAuySUNIi2qBFm0cLbsyuW5sotH1vL6gvxgnnLdyQBwJavwzjR+sKl2V2/tsTCE4jRkzprSYWDhlXDHeGGfUVdsaf5F6JJAmWx9xr1moC4DcCKo4XLxgTztfXUMkq+Oufo2F0lQmwoxxg5+xMqib8rhXPc/65V2mVSXccPfgmsI65NkqXv52JgJJTDuzXbutlYGMWdKE4tgAbtDwkIHdYIF0ML0hUTSFFgcURVH6biJmBhKTHkmef5zBVDoGHc8iHbSTtJh8rCwkIPGKa8DhH4aUFEURzHv8lgQaP+QRsaU5UKbGgCSQ/qvyMYUzY5mwiqIoNWgmV+VmFqLVpVVB4vhfMjHSDJswldeEZtBGYJFbpmGmeBjJW14mAJMFkxRzvGdMzNJwXfrSgKd0EKnK3cDCKf5cFlJ4FhHlo2cC4XdFQ4zkq4NJwGQib4O/8ilDPaiPvDxHA0QLQcOsTWAvjUrAQCCZ3rQNUucY+ZSuehrkkQeaV8KB8i+77LLlanra02ZtgNRqW5OEfqEOcIA/0qEuJhnpawN9o15+x8yTFnwgTHzjaH2Z7Pi+6n/amHYEgRWf8EFTQzvEV46JUH1M3siwfou48oF0nZ8essV3GZbaSjvR0sAKtvJSd30fgVFu/cW59lFu/QA24svLBEmLhTBY3Adr5asHxAiO6q/f6FMmYQucaMs9o176kjLQiMFJ+eQjX/e9J7BVnuq+8ntOf3PN+ymedKQLOyRE/b2btNAIC7ccfUC56mV1jKgoH+2aePKWD4FH+0rPsXzkKw33tTVtmX4NG/VDKAgX4jHT6kv6haAsMKb94nqiXfg7eleVozFoMxp0/QCWcBCHZcV1Qom8pEtLvPjii0dRvCWYEZb1XWMOnIwRMNLHpVEP0lUe9VM+v94l1/QLhFa7iGfc8L5V92GlfasxpYqnnV2Xnnzhq30dayPn2tbzzgWkUTBOwdTCJxYauxNw0xG3Xm7H0mPZMmYoqzah2Wfp4l5D4wgvi5y0CY2pfiEP/snmAD7I0qqC55j+abeN38YK9VV347b6E9RZDozd/Ff1WRgY0+DtndG+3kF1pWwwnnBhUhbvu/5onkB29RNjivRp+fU777wFZN5576FA2NHmVVnztzMRmKozq9XKtRr6shlYEBTkChk0GVercpEpg5kByyBmIKFJoy0yABmsTOYmMQPN/vvvX1bIgGQgRixNigZoAwwzuwnKgGmAFRkxox1jynXeGKqBSrzGe85pB0ntBkATI0LntzKJ8+E06PKZNLjZAovJ3EpYCyqQRAN3NZHRftESkuqZP9XDpGcyNgn/3//9X7k1FM2FfGhekSDE3GShrsiCYDKxSMexCYEmB2li6uISoE6It2PkzWBrooCxwZmbgskJsbXCnqZHnetB+YuiCGWDLZKEkJqklM9kofzKqJ3hySxo4qCBMHEptzbT3og0QiFPBBNZNBkjjNqpnrdjZJhpmPaQtkTa0kE+TBpIgDrA3aSiHTxXD/LSn2i2EF31ROL0EcSRds8kpM08J09406xawCJdk5i+6r42h4t+ZsK3Gh7G8IEFkiIujZ0+AWf3EGTlVX/90YTonNCjTfR192Bm4tR23gv1U3fvifzrAUnS9voFEoYEmKRpsawq1+4EAunQSKs3gum+fq2d9G3lQdwQAu2lz+oT+ijyq0/BR5n1WTh692ClrhYx0TAicdoa8UeA6mV1rN28O8rJYuFYHyAAqZ/3Tf7M53A3ZiDB3g+k0FiAdKkLnOFuvPCuEYKYl7ULDbN+g+jCgMCqPIRF5WgMCBLyo08SPhBVcaSN2Ph17j2Wp7ZxLsAWlrT4+ow8aLrrccQT4IeMEoa9u8ZCfYgQqb7qpk+qm/ZDALWRtBFIdVEn/cx959qbZcLYRJDXf5A0ApU2dS5v/cw5fLSbvLWZ8Ur+CB3BhaCpv3kvPVcF1gLvCQKu3xIs9AuEz7gGF2ORvoCU0zLr94RKQivS6HqVnl9KBPnrd8YS4x0lgvaEH4HYOKcs2sf4YhwzhtJqKoP3C/EklDtH6r2/2k3fgbXxRR+TJ3cT+fKthat4rnNpIJQQOPUBQpY6uJehcxFIYtq5bdtlzQyCiJsJvgoGEA+YVJEDg4mJ0CRkUDBAmuCcI2gIqgnNMwICw19QegZJk0YVn2bM5GQwEhfpoHmSlvPGgHDQAojXeM8504+B3SAlP5OHAayKb4BHTEzE8kTQEGzlNogzezHLG7ylZ+BFrpAk96Qp0FYgWiY2k4d6IN6eERAvkwWfVaRSOTzHdGrlt/ob9G3nYlI0WXrOYKx+MJSGCcgziAmNsjQEpN9g7Jl6MBGoC78y5ZMW7KVlkqYBQQI8YwUwsio9ddaOrps05em6eqmD67RnrhMo9AkEyPXGgCQgMDQa4prA4C4e7KVbBQTL9SrQkCFj2gypqeJJx+Qt3erat7/97eqxIEjB3z1YmwTrk5T6aydEXf1pNqu8EUT11w+0jQlVOoL218aOhcZzBNVkrFxIhjiCid9EOrGA/z1QJkIbLRf8ae/EF5QN0XMsNJ67ZmGK3yrUz8Vnuq7uNTtH5PQ9fUT/FFe59Q2E+L/FnPjjvfGOwxRuNNPeQcSQxszzgnZFIBwLBDaJwIt/oLJoH7/IDyEM+fGe6ic0ZYQ/7Qg7aQjaUTqNQX/yDOGOMFHd904gTtJ3zbkyOJ4YJhwgivqPPOSnPt6XCbcm+a++4ggWC9XPXTMO+q2C97Q6Zk1Rlvq596Z+jmRV596z+jkBoHo/xTEm6qfeae3nGhLJz9K729jfkDjjtXhwMjZUlfOOV/U33hrbq3swN/64712urvv1riD1xkTjJUJJ8DSOuo8Mu+9541VRFOVWbMpQBQJOdeyXOd54S5h1zjeYwC49gaAqH/2EsKNPum78lE/jGOpehs5FIIlp57Zt1iwRaEkEaOxpipjCaSNpzWhXaJdoZlqt0MySNJEIgvLSjtEI0X4h5K1WXiSaJpV2nCmZds8xQlGRi1Yrc5bnLQRobmmmCVj6mPajtafxJuRUhO2t2P3zlwaTwEID2j8pZiqJwJQhkMR0yvAbrKczn0SgYxCgsaSRp+miYaNRpC2ldaedarWKMpHT7PI5pNGiDUT0mMtpsVqtvLSDNP+09LTxtGK09DScMG+18mZ5/ocAqwpXAG46NNTeCSSVT6e2LIq3fGj/98SUHXHf8M7RmtIWc3mYshTz6URgyhFIYjrlGGYKiUAi0EsEaO+QPX6YfPaYkZmam5lae5l0v0dXJq4atKbKa2EW8sf82O+Z9UOCzPhcFmh0+a7SRCOqTOP9kHwHJ9EaVUMUudd4L/h5cs1hUh+I0kmX/7B+IiDAA5FPppkI9AaBJKa9QSvjJgKJQCKQCCQCiUAikAgMGAJ9JqbMQxzSMyxUOn63Ig5Zpmyb7APZB7IPZB/IPpB9YCj7gMVwvWGxfSamHKVtAZHhpUgM/oeB/Q1tT5KY/A+TTsPCVknMfp1Wr6xP5/bZAWzbHP9fyn6T/av7PmAnlkEhprYEsldbhsciMfgfBnzvbHNks+3E5X+4dBIWtnqynVAn1Snr0pl9Nds12zX7wND3AbuZDAox7U0mGbeNEJjCotq/0fYmJ598ctgWaAqTy8cTgUQgEUgEEoFEYBgh0GdT/jDCKKvaCwRs6mwTZV+nsR9fLx7NqIlAIpAIDAsEspKJQCLQNQJJTLvGJu/0EQFO1r7iYW9Kn9hr/FpJH5PNxxKBRCARSAQSgUSgwxFIYtrhDTw41Xt7Lvbi+8EPfhA+pUdz+vrrr789Ul5JBBKBRCARSAQSgUSghkAS0xoYedi/CPiOM2LqKzkXXHBB+Oxd/+aQqSUCiUAiMEwQyGomAsMEgSSmw6Shh6qaH/3oR2P77bePs846K6699tqhKkbmmwgkAolAIpAIJAJtgEAS0zZopHYv4hJLLBFbb711HHTQQeEze2+++aYqZUgEEoFEIBFIBBKBRGASBJKYTgJHngwUAssvv3zsvPPOYcU+zWmS04FCOtNNBBKBRKBCIH8TgfZDIIlp+7VZ25Z41VVXjd122y1OOumkNOu3bStmwROBRCARSAQSgYFDIInpwGGbKTdBYLnllostttgixo8fH/fee2+TGN1fyruJQCKQCCQCiUAi0LkIJDHt3LZt2Zotu+yyMWrUqBg3bly88MILLVvOLFgikAgkAsMQgaxyIjCkCCQxHVL4h2/ma621Vnz2s5+Nr3zlK3HnnXcOXyCy5olAIpAIJAKJQCIwEYEkphOhyIPBRuAzn/lMbLnllvGjH/0obrnlloHLPlNOBBKBRCARSAQSgbZAIIlpWzRT5xZyzTXXjA033DCOPfbYeOihhzq3olmzRCARSAQ6GIGsWiLQXwgkMe0vJDOdPiNgtf4qq6wS3/ve9+If//hHn9PJBxOBRCARSAQSgUSgvRFIYtre7dcxpf/c5z4XyyyzTOyyyy5x//33t0C9sgiJQCKQCCQCiUAiMNgIJDEdbMQzv6YITDXVVKW/6corrxyHHXZYr7aSsu3UjjvuGPVgr9RXXnklLrzwwkmui9O0AHkxEUgEEoFEYHARyNwSgSYIJDFtAkpeGhoE3vnOd8Zmm20WtpM68sgj4/HHH+9RQeacc86wkOqSSy6Jo446KqaddrkJwgcAABAASURBVNpYbbXVYuqpp44lllgipplmmnJT/3e84x2x/fbb9yjNgYiEQN9www1TnPQ///nPkE5utTXFUGYCiUAikAgkAi2GQBLTFmuQ4V4c5NFiqHnmmScOPvjgoPWcHCbvfe97Y/XVV4911103iqIoN/Cfa665QlpI6TPPPBM/+MEPyvQWW2yxySU3Jfe7fPb111+P4447rl/2bb377rvjN7/5TfznP//pMr+8kQgkAolAIpAItCMCSUzbsdU6vMzvfve7Y9ttt43pp58+dt999x5rThthueeee8rnbea/9dZbx7ve9a7GKPHEE0/E73//+5LoXXvttfHaa6/F008/HaeddtrEcNNNN5XPvfjii3HGGWeU17va3op/7Jlnnhlnn312XHnllfH3v/89XnrppdI9wdeuaHXPPffcMt/HHnssLrjggnjqqafiuuuuK8uBiCuD89/+9rdlXvJHbBXiqquuih122CEuvfTSOOuss+Lyyy8v4yiv/WDffPPN0kfXufCvf/0r3njjjTK/iy66KJw//PDDoQznn39+IO2u3XzzzSG/yy67rIwjrwyJQCKQCLQeAlmiTkcgiWmnt3Cb1m+66aYrF0LNNtts8f3vfz8effTRHteEJvHGG28MRPDzn/98bLDBBqVZvzEBxPW73/1u3HHHHSWJ/PrXvx7HH398qaU95ZRT4otf/GKZN2Lp2X//+98lIdx///3j2WefdWmS8OCDD8aee+4Z0r311ltjjz32KPdn9ZxAg/vcc8+VxPdvf/tbuX/r5ptvHmeeeWbst99+MXr06LjvvvvK84MOOqhMB2lGRP/0pz+VeT3//POBuL/66qsl6ZUeErvTTjuVRBUJffnll0uyusUWWwSz/5NPPhnHHHNMWR/EFmH9wx/+EOqrLq6dc845Zb5bbbVVSVDLzPJPIpAIJAKJQCIwyAgkMR1kwDO7niPwvve9L3bdddf40Ic+VJrhm5HBZqndOIGUMt37utTIkSObRQnEDildccUVy69P7bvvvjH//PPHd77znVLD6HyhhRaKBRZYIMSRyAc+8IHgImDngJVWWsmlScLvfve7mGmmmWLMmDEl6eP3iozOOOOMscYaa8QMM8xQkmQfFVhqqaXK/JBexPiAAw6In/70pzHvvPPGT37yk0DIEcdDDz20JLK0nTJbZ511YvHFF48FF1wwvvzlL5fpIaWuuS8suuiiYZeD97///U5DuUeMGFFqgxFfZFj9bNElL5rg7bbbLg4//PDgFvHDH/6wfC7/JAKJQCKQCCQCg41AEtPBRjzz6xUCfESZ9YuiiCOOOCIqk3Z3iYwfP740VTNPdxWfRlNAXBEzJvQPfvCD4Zh5nC8qYsl0zzwvPybvo48+uvyUql0EXKsHmsxf/epXwfTuuk+uKr/jxuA6VwXXEdWFF144kE4LtxzLvyiK0mdWvK7q4XkuChZ6ORaKoijdFqoyKhdSjCQrE9IrzTnmmKMkq+utt15JqBFoeedeslDMkAgkAh2EQFaljRBIYtpGjTVci0rzxyxulf4+++zT1Ixex4Y53QKqvffeO8Tnw1m/75h/JxL61a9+tfTZZC63qAhxQ9rE+dKXvhTypklEDC042nTTTctr7jcGLgM0oxtvvHGp6ZXHJz7xicZokz2X3worrBDcCXx0oCLGk30wIyQCiUAikAgkAm2OQBLTNm/A4VL8WWedtfTD5FPJ59Sina7qThM4bty4WH/99YOJHEFFEuvxLTAqiiJ+9rOflf6Y/C6r4Dlx55577kBOLRS65pprgjl9m222catpoIm08l7efEiZ2PmPNo3czUULouxIgAzL78Mf/vDbY+eVRCARSAQSgUSgAxFIYtqBjdqpVUL8DjzwwGCiplXkn9lVXW03dcghh4T4TPsWF9XJLL9VK9itnm9MAwmtriG1zPwWCTGz89Ws7jX7pWG1F+uxxx4biO32vdw31SIvfrUf//jH4wtf+ELMN998zbLJa4lAIpAIJAIDjEAmPzQIJDEdGtwz1z4igPh94xvfCCvNTzzxxLDaPSb8sxq9OqZpRDotRBLXgiZE0WIim9KLx5cSebVy/Re/+EW5vyhtLC2nRVcTkiz/M+tbqX7xxRcHsshPs7zR5I9FQzbRlzdSutFGG5Ur/EUtirf8RWlqEWruBXYPcE++nnH8yCOPlIud+KC6xt/TfXE9K05RFGW91ZP7QVEU5Z6t4oljJf5DDz1Ursi3sIpvLHykB7eY8M+xaxMOJ24P5VxwT37uZUgEEoFEIBFIBAYTgSSmg4l25tUvCMwyyyzltky+fmRVORJGK2pVPFJFm3r11VdPJFyImowRWSvR3bftkk+fWl3Pz3S55ZaLT3/602HRkVXt4ldh7bXXLr8kteSSS5aLkarrjb80srZ8QoJPPvnkYJL3JSrxfJ2KttVOABZU+VQqMz8CiNBef/31ooW87Q5gkZWvX3keGbdQi3YXqbai3z6q8vnrX/8aFjb5wIAtn/iknnrqqSXRnnfeecv9Wf/4xz+WZXnxxRdDXraXEmxBJX/P3H777eF56dnblX8rUlwWKv8kAolAIpAIJAKDhEAS00ECOrPpXwSQvL322isQOmTLRvY777xzSbwsOEJGaf/kyudUHMFG+7SgzPNI6EknnVRuk2QLKFtM2QHAM/WAGFqMRAtav954zDf1m9/8ZrndlIVVNK22ZhLPin8LsZzL1zZUyy+/fJm3z6fSdIpn/1Z7jtoKim/pjjvuGPY05WuKRPtsq3xogZdeeunya1dW5FuUNXbs2KAFptmVj62mYIKgfuxjHyvToSlGytXfhwfsdDD77LOXHwFAemmVpU1j61yZMiQCiUAikAj0EIGMNsUIJDGdYggzgaFCADm1uAmBQjbtxckUL1gdb5skZXNeD0geguYeIodAurbyyis31YjaF1V8pNEzXQVEEWmUl1X+q666aukPW8Vfdtllg3YWcUSexasC4lvFk47nbePEr1W5fCiAj604NKRcEKr7rs0888zl3qXqgYTSusIAIV5kkUWiysev69J0LMDtk5/8ZLkNlnPBPqjykXaGRCARSAQSgURgsBBIYjpYSGc+A4IAP9Lddtut1Jz6xGalJZ2SzLgDWMUv0Hz6VOmaa67ZlLROST5t8mwWMxFIBBKBRCARGDQEkpgOGtSZ0UAhUH2NybZO5513XvCbnJK8mLn5n37kIx8pV8bTTNp8fkrSzGcTgUQgEUgEEoHmCOTVOgJJTOto5HHbIoBEjhkzptyT9PTTTy/9PPtaGS4AVtTbS5QfK21pX9PK5xKBRCARSAQSgUSg5wgkMe05VhmzxRFATi1guvTSS8tPkva1uLaEWmaZZcpv0fMH7Ws6w/m5rHsikAgkAolAItAXBJKY9gW1fKZlEbAC38p4WzHxDW3ZgmbBEoFEIBFIBBKBviPQsU8mMe3Yph2+FbM9klXtP//5zyPJ6fDtB1nzRCARSAQSgfZDIIlp+7VZlrgHCDDB2wvU3qU2mO/BIxllqBHI/BOBRCARSASGPQJJTId9F+hcAOwH6ktLvsLE77Rza5o1SwQSgUQgEUgEJo9AO8RIYtoOrZRl7DMCNtDffffd44QTToibb765z+nkg4lAIpAIJAKJQCIw8AgkMR14jDOHIUbAV5tGjx4dxx57bNx6661DXJrMvn8RyNQSgUQgEUgEOgmBJKad1JpZly4RWGmllcpPbu63335xzTXXdBkvbyQCiUAikAgkAolADYFBPkxiOsiAZ3ZDg8BUU00Vq622WthK6vDDD4/rrrtuaAqSuSYCiUAikAgkAolAlwgkMe0SmrzRaQggpxZEbb/99nHkkUfG3Xff3WlVzPr0DIGMlQgkAolAItCiCCQxbdGGyWINHAIrrLBCrL322nHEEUfE3/72t4HLKFMetgj861//KvvWueeeO2wxyIpPisCrr74ad911V5x99tmT3sizYYvA3//+9/Irhc8880wHYtD3KiUx7Tt2+WSbIvCud70rRo0aFcsuu2xp2r/tttvatCZZ7IFA4D//+U+5SO6QQw6JXXfdNfzecsstISAXk8vT8zfddFN85zvfKf2aJxc/77c+AgQNH+v43ve+F1//+tfjqKOOinvuuafHH/B47bXXyrhjxoyJz33uc61f4SxhvPDCC+V6hH322accB84666zwbjeD5o033ghbEu62225l/9BPekI2//rXv8bGG28ct99+e7Nkh+21JKbDtumHd8WnmWaackDYbLPN4tvf/nbceeedwxuQrP1EBG688cZyctFHNt1001hggQVi//33DyT1pZdemhivqwMuIwsuuGCYrF5//fWuouX1NkHgzTffjN///vcxbty4mHvuuWOLLbaIGWaYoewj++67b49qQRhebLHF4umnn+5R/Iw09Ai8973vDe/x1FNPHYcddli55WBX7ffiiy+W9wmxhFKKj+mmm26ylVhuueXiyiuvjCWXXHKycYdThCSmw6m1s66TIGDA+exnP1tqMKzWf+ihhya5nyfDEwGT0Lzzzhu+HOYLYhtssEFJTOeff/5AUiaHSlEUMf3004eJbXJx837rI0Bbevzxx4edPQgqSy21VGy++eZBkzbDBILakxoQVj7wgQ+EMacn8TPO0CNAmJhpppli9dVXj3e84x1xySWXBKG1WckefvjhkmBOO+208Y1vfCM+8pGPxLvf/e5mUSe59r73vS8WX3zx6AmJneTBzj0pa5bEtIQh/wxnBJBTBOSAAw6Ixx57bDhDkXWfgEDVB+pmO5qT//u//yuJhfu/+93vQnBMM3rHHXeU565NSGKS///85z/LXSDOP//80h0A0ZkkQp60NAKEEb6A2lmoCmvMWHnllUth5b777pvY/s8++2xo4xtuuKG8ds4551SPTPxlJr766qtDn2Ct+fe//z3xXh60HgJrrLFGzDnnnPGb3/wmmllBvPef/OQn3yaMcuFAZt3X1tzGqj7k98knnyxdAPQHtf7HP/5RuhH5GIxrV1xxRemTPNzWQiQx1RsyDGsEaLa23nrr8JWor371q5Ga02HdHUqz2nnnnVf6lj7yyCMTwWB2oxFhzv/tb38bX/ziF+Oqq64qiclTTz0VBx98cHzmM5+ZGL88mPDn5z//eflxh1122SW23HLLOO200yZczf/tggBtJ3eOk046KY4++uhAPKuyr7XWWuUhf8ITTjghNtlkk9ItCOnQd7gJNfqUuvezn/0sjjnmmLBDyFZbbRV/+MMfynTyT2siMMccc8R6661XksTG3VwefPDBUpNKs1ovPeHk5JNPjj322KP86uCpp55atnflT0qo1Qf4mCKeL7/8cklSWWooSfSJiy++uHQZ4buqj9XT7+TjJKad3LpZtx4j8P73vz923HHHWHXVVWPnnXeORx99tMfPZsTOQmCnnXaKhRdeOEwOiObpp58er7zySpicmPcWWmihIMAQZNScmY/mzE4PzUysyf6gAAAQAElEQVS1iyyySIwdOzbGjx8fSC2/RJOZZzO0PgLvfOc7Q58glOy9997BteOCCy4I2jB9oCiKWGaZZWLbbbcN5no1YsZdd911Q79w3hg+8YlPhAUyJ554YrnwhfsI7VljvDxvDQTe8573BCGEEsN7XC8VgUWf4L5Tv06AOeWUU8L7j5wy8bOe0JyKx01A/zEmONdnLMi1qO7+++8vTfyEWeMQ7Tptq3jDIfSWmA4HTLKOwxQBgw5SypfMQgfmu2EKxbCu9ogRI+LXv/51uWMDTQa/wk9/+tOl1oNZFzgmESTVsVAURWnmL4rC6STBhx0++MEPlrtAWET1+OOPx5///OfIf+2BQFEUwWzPJD969Oi4/vrrS3JqEVQlYBRFERbLEVKqWtG0NhNUXLdlnT6xyiqrlALQvffeWxLU6tn8bT0E7IH94Q9/uLSkII5KSIFBU64vOK8HAg1BhXCizfmRmmNoRsVDdmecccYoirfGDPFnnnnmEPdjH/tYyIvCZK655ioFWruCeG44hKmGQyWzjolAbxBgSjFp/PCHP4znnnuuN49m3A5BwIRBO0a7wRTLD/ALX/hC6f81JVW0gIqPWvfuIlOSQz47UAjMPvvsYUywN+0666wTFsMQWphkpyRP2nlas9SYTgmKA/8skmhuIIDYA9t7zKXHIrhmudOI/uIXv4hFF100aE4PP/zwIIA0i5vXJkUgiemkeORZIlCuqN5hhx3KlZhMsEwyCcvwQeCaa66ZWFkm1+OOO67cKkg/QEwm3uzjAa0as3AfH8/HBhkBi+AsRqmy5e7z4x//uFx9TWDpjz5B+06DVuWRv62JAD9SRNP2YX/6059Kf+JPfepTTQvLx9RiKQKuhUwE3Pnmm69p3Lw4KQKDQkwnzTLPEoHWR2CWWWYJ/j22g6kGltYvdZawPxDg98entEqLpsTODUsssUQ0Lnyo4vT0l48ZNwB+Zz19JuMNLQJWzJ955pmlT2lVEuMDDTrLSrWYpbrX21+mXSZf/oa9fTbjDy4C/Eh9YIHFY6+99gpjwgxdbBlm8/wf/OAHsf7668d2220XrCXM9YNb4vbMLYlpe7ZblnoQEDAI8TU1aTDD2MpjELLNLIYYAZOO1bQ0HorCr5TGA6nkE+gaP7CiKMoV2oiLvuE5x8x1Vl6LJ1gkIw3p/eQnPykX2I0cOdKt/gyZ1gAiYOsnq6S1r2y0p1XS2tQ2Yq5VfcIm7OLpMw888EC5awNf1HqfYAaWhl9ji4U1SI50MrQWAiwl2k57KZmPsnDreOKJJ8JHEyqyWcXRJ8Rznz85IcazxgjtTQMvjmuCuPqLX2n4Fae6V12rft3v9JDEtNNbOOs3xQh87WtfCwMHTVpPPkk5xRlmAkOKAJMqP0ImWvsP0pbZCsoEw8dM4T70oQ+FBSx8zdxjsjOR0HohtYiIxRIWMWyzzTZh5S7tCZJqBbY0MrQPAtwv+Asy4VsE9atf/SoOOuigsHelBVFqwsRrdb4torTx2WefHTZQp1XVP/iQEmxsPWVM+eUvfxn8E/kzf/Ob35REhhZC4Pnnn4/LLrus/OqTz9H6JGm15uBb3/pW2NtUmysyf2PvvQWz3nPnvhLmPrcw7kDGEV+IuvDCC8N2dBYzGWeQVNuQcRc544wzyh1A5MtdwB6orpl3Lr/88rBfsnFGnp0cWpeYdjLqWbe2QoATu/0GrcA88sgjm26w3FYVysJ2iwCSYCKxEtvq2wcmaL1MQsiGycbDCIdPlHL3oFG3zYt9TY866qhy2yBfjrJ9kBW7K664YtCu+RoMYlOlIZ0MrY8A/08EkmbTSml+pUimPUsPPfTQknyqhX7w/e9/vzTbzjrrrEErbo9Sbc7sb7sx6djD1Nd+aFaXX375IPDSwEkjQ+sggAzalYM22yI3pLNy8bEVGIHTOKDEtKP2OSascPvxHOHVGgVby5lD7GFs6yd7ZotLK2rhm23DfJKUdpVVxjPGDiTYwjqr8vUrQtDzE8hyElOIZ0gEEoEwOPAtsmm27yEbVBKWzkSA1ot2lHaLZgv5NNkgFkXx1tYuao5g0qCaRBAWRHbNNdeMimQgNMyz7ktjww03LL+x7tlWCVmOySPARE/zrf0JKPaj1C9sIYaM1lOgDbUfMhJCU2qhlAUztgESj38xgkHQHTNmTLlp+zTTTONWhhZDwHtMsNDeAiLq60+K6Z733bGAuIpTBeQTGSWUevcJMbPNNlsgtMYMggsyWsW3TSECrN9U16Rp9wfPV9cQWv1Rnp0cUmPaya2bdetXBAw0TLckW1/zSXLar/BmYolAIpAIJAKJQHQYMc0WTQQGHgE+ZBa42MNuODmkDzyymUMikAgkAonAcEcgiWmTHmAVHh+zq666qsndri9xaOYvYrPkrmP1/x0O1Rzyjz/++ImJ26qCX4q6TLzYpgecwPljtUrxmWRs/+HrPRzeW6VcWY5EYFAQyEwSgUQgERhABDqOmNqOwQpICxFsjr3nnnt2C59NcsWrgsi2+bDqErlz3tNgJR1Cy4G5p89MaTzmZKSU0/X48eMnJmdvPU736jLxYpseaAufc2ul4lvcYvHLH//4x/jpT3/aSkXLsiQCiUAikAgkAm2LQMcRU98mtlCB07nNsBFFK9uatZDVbQcddFD85S9/iQUXXDBo5sRDOi6++OKwms55T4MVd7aJoVHr6TNTGs82Juutt165eS+SWqW3+eabhxXF6lJd6+7X9hZWnXcXZyju2XLFApJWXCDAAd6qawLJaaedFmnWH4oeknkmAolAIpAIdBICHUdMq8axIhIps6mthSrNSANTbGXqtt2L/eSq59vp15YVVhH3tcwW89jCpBWJqa1UrFbsa90G4znuGz5jef755yc5HQzAM482RCCLnAgkAolAzxDoWGKq+jSJtvmgCbXNj2tVYPL3FRbm2OqaX1pURM1myja3dY1pnsmfqdxG66effnpYAOPXfUEcG+DaXNe5QGOLFN90003hyyHjxo2L/fffv9Rkui/I7+GHHw6a3T322CN23333icGGvuI0C0899VTQ1olvb01fnani2bBXnjb+rl/jMyu+cjA/S0P4zne+Exby2FDcxsH26FMfPrPiu//rX/86Kt9Zv+5dcMEFgfjDBR60zFV+fu0Dd+mll5Z1Hjt2bNB+ul4FZa7y5B8L9+qeX/d9rm+hhRYq877oootKszmfWuZ9edqkWj401fYZVF6bIXt+sAIhyPYgvgxjw+TByjfzSQQSgUQgEUgEOg2Bjiam/BLtD4ak+dpC3dSNKPqUGE1pvVGROqQUkfIlBs8w9X/3u98NJBOBQpaQJvta3nrrreEZcRC4igwyo1fEEelDlmw3hDzZB9MXYOTrFyGV3mqrrRZ33XVXIGvVHojiNAYLgZBLxPkzn/lMIJfqJx6ie99994VyqINrgvKpl334uC0gk8jc+9///vILFtNPP31wf+AG8d73vjfEPfDAA8t79m6zMTQyKn0EDB6+SKGs0oeD/fsqn1Zk0eIrX86RrjRtXH7ssceKHsqIxNuE2L5+8mv0ByYMbLHFFhO/hAEnJnNf0bH5MMzsJ6hNfFXDF3v4Be+2227lFzLKjAbpzyKLLBLqT9hRlkHKNrNJBBKBRCARSAQ6CoGOJqZaav311w+bHvMDpOlzDbmiRbXpLXLqWhX4qG6wwQbBT1Q8Ppw22raBNqJqw1ub4CKGNku2+AWJFMd3cxFZaXEj+NznPhcIlGs+W4e4IFIIpa9IiIe43XbbbbHxxhuHzblpP6XH9YAPozj14Dqii5TRDiLWX/nKV8IXRMQriiJ8TcJXR+p1U06EFDH1rV+b9yJyfDdd9+vLNDYXpxVGCtXHd6A32mij8KUSGuGiKMKG0TBVbhtFq5sNgH0VA0bKwU2CxhdZ9+lGWCO/iDdtNZJvg+FRo0bFqAlBmRBdAoPnYX/FFVeE68ppY2KCxnXXXRdrr712yNdXdrhiWOwmfSvlLfjyqTfxpDNYoSiK0k8Z4aeNRt7VYbDyb/d8fNGE1YAQ1O51adXyGzsIjH5btYz1cv39738PwvGIESPql/O4HxAwNlGoGLNZxxy71g9JD3oS+nM1B1AADXoBMsN+R6DjiSlNHS0gEyutHgTvueee8BLScjnvaUDcaPjq8a+88sr66duOkUMEDPGrbiKrldkaUVNGpM19XwhBFJnIEUTX6sEAwqwuTRpY93x9hDnZcVdBuZHBM888MywGo8Xs6hll9YUJpBSJ9Hk1xKEx7SWWWCLkXb+OkCoj4r/oootOvC9/fpg+6+jzbTSbTPK0sMIDDzwQvmhRmftpVOFQT9uxr23MN998DoO218HSSy9dChKOR4wY4WfIAjz222+/0jWCG4N+NmSFaZOMTSz6JNcQ2v9WKjYLgDClZSIUC1OaTl+e1we9c95/48ZgC219KbOxz5hAcO8P/PtShq6eMX4bn7u639PrhGqCQk/j92c8CoCtttoquElNO+204ZOprGpw7898BiMtShoKkVYjpfot62p/YNDoitgfabZyGh1PTGkfLZ7xCTCaLNpLpn1EqSJ2g9ZATTKaf/75A+nj1+m2ScREjTTSyLpWD8qP4FnwpG7uiUeb6Lir4PN5G264YXBtoGFF0j3XLD4NZfXZtL333jss6qk0vM3iN17zMlpIVRHHxvsmaIO7AYV2U0DM+bdWml8DJ//gxmfb4fyjH/1o0ODa45TmuR3KPJRlJJAQ+mzZxkIxlGVpzBuZI8g2Xu/NuXea9v/qq6/uzWP9Flf+hEDjHvedfkt4ABMi0LPetOIYwFIzpTgax2n5CP0DCGOXSR999NFBMUMjzcWKEL3vvvtGpTDp8sEWvEEZwZLZSkUzh7OaeeemtFzWoHBXm9J02un5jiemGoNpG+FhAr/++uvjzjvvjKWWWioqYifOUAWkmduAQYoUzldUuVw3ODeWyyQjXuP1yZ0j5nwvmddpZS36qi/eqj9Paj711FOD5k85bD0Fw3qcnhzTBjeLpw7MR8gyd4R6oKVlXjKRIufNnm/1a8gV9wUuH/xmuZG0epmzfG9HgJWFhv/td3p3hebPzg20wr17sn9iI/5ckT71qU8F7Vj/pNq6qQxkyfjCc7ea0jxoJ6VDKTGlafX2eWSJksJ8QIBGSLliWbyqr/Y2vYz/dgRwDHuLT6kFiKBgYa3ft+fSuVeGBTGlTbRIiP8orZzFQ8zQrdCstqjih8kMMffcc4fFURYI8elsVj6TDPOLDfRpHas4yF513OyXhE4TipCbbBFOUnOzuAilOAatVVddNWiWka1mcZtdm2GGGWKeeeYJUri0qjikSHVj7lZXJnwkuLrv2Gp7L6HyItPVvep3cvWs4g31L6FixRVXDNoV5JSLQ7uUfaixkz/TMyKlv9Ps83P23uoXtJjeAf1op512Ctp81hACXVEUQfsOd+kwW3vevVNOOcWlSYI+aacMfZzwxe3HMwRE+xjTE4M0kQAAEABJREFUVmjHlVZaKVgq+BBbrMeKwNfZe8oky9/aGMNKMMOE/o+IMuV5Xj1oS/lAc9vhS24sKoqiXATIguCDIPrMyiuvXJaPYKa83FYIccYF/re08YiFdEePHl0STdj0hOBIvyiKMv12/IM00azrE9yNLD5lnbGA1ILSESNGlGOV8dTYaLFkVWfYcWNSb7t7wF+gqHCtHqS3yy67hLFZ+/LH174Ws7qObHAfGjVqVBiHLQB1zA3JdX7/2p6b18iRI0ObE7L5vxO6aeClyVJkwSthQR/TR4virfZhTdK/jLsEeOV75plnQhoUC47V0zvAvQkREvjiq5e1DF0pMNSJhlE86Xo/aKeL4q28XWv3oJ1gp47wVx/vOjc49TdGWNfBZczYDIOiKEpllUW74usb4upDY8aMcWmS4L007njfbdfoPdfmtOnWthhH5CF/eeh/5l/j1TbbbBPeZZZB/cnYoC31OW2nffUB1/VX2zlKR99iLRV+9KMfleUxdug7lG/6gHp6xvoMwoYtF60J4RpnzuWehwcpt/U03pUyoRb605HEVMPQTpgw+DvC28TC59HCo89//vMulYHJ2YGBvYrrV+PpQO4hTM696AYW1wxe8tE53Tdhuuda1dDOkRGTjOuec1yl75xvDIJIuvIi6OgWTv3P90is/wUd0ORpMZMV6sroRUDmlM9uANL3vDxN8J5mCtAplcmgToPCjcA9L7CXD2YCMql+XloY3nvvveXKf4OtCdFkAI+qLtIQHwauOfeSehF0fPnaquqYY44J5TKwmoDV1eTC3C2Q3C24UmYvoRdVWoL04ax+jl2DvV9lVGfHsBfPZK88rg1lYIrkDoEoET70h6EsT7vkjSjS6iB7+oYJxUBqtwnvjAnAQM8CYCAXzwcuCF9f+tKXJn4cw6SN1NlFwmLExvoThIwJTKrSq3y5LBLUZiYw+TPF65PMc94PRNNgbyIxhuy1117lokOTjHdNX7dYkADmWWOPa/osUmuhF4FZeUwyxgD1da6PeJ+r8vhFbEww+j4NignHjhXIqzLRvnm2k8Mcc8wR6mz8NukfeuihgVCw7BhXEHaCAywJBjSCgrENsUAe4WOhqmeMP80UFAQfY4e+4Fi6nmMBqfI0VmsX8wZ/en3SNf1NH+QqZfInNBiXlUP/REqNixZ6GucRCOOpX0RTfeTF1YwrECLj3JhmnGfJMsYZU60DoME1PqufMVaettDTr7uyiEmvMehXBC79tfFeO5571/UT4wP8tSdMjMHeHb/mTpZDfYDF0ju27bbbhmvqTMhADLWdMcS1evBeWythW0gEU//UNpQy3knCs/byzsP10ksvLXfdMa6Ye8XTb7nNaUN9w44z+qV3XR/gY20sNKZJh3BsXKmXQ1zjW3XNHK1+6mms0af0E64bSDdCq+94zrjnXamebZXfPhPTO+64o9x7E3AkPy9XK1RKQx9xxBFhEtDZ7HVJqqXJ4FuJoPJlU1adDTFybIDXATU+vxukTAchJbunM5iQSOEGBenr2Dok7aKJRhzEjwZG3iYLhImUaxAzqZKqTTryRgJNZEy9ymbC0UlpgQycJCZlqweDLKd1xE+HElfnM7DQMCqjDumFUBZaH+2D7MlffWGifl5Cac8+++zhJYSbz5vS0piY1R9ZhJ/B1ktoQjDw6/i+FsUMb+LW2Ul5BlzPkcCZh7wUJDcDp5fWi06KHT16dJBqDb4Gb9tRydcErg5eamUTDP7wrV5eLyHM/JrE1d991/jQ6oteOuXy/FAHWmd76tKsmMCGujytnr++TGOpnEievuTYBOBd0ucq4YamyYBPYNGnTDL6qz7gGUE/RfoIdc7rAZnQH12jMUUwHTcLhAwCFUHOwE5LZ/L3/hDakAhCnzGGFoyGt1k6njdRIb3VfSQVQXVeFEW5KEUeyqz+JlrvpGOEybFAM+O9oSnxbKcGAq+xiduTMZkAq65Io3PjCjy9Z9pBmxuPjDvw0XfMDZ4xJj/44INBW6ktXIvaH5M/3I0t0ho7dmzt7qSHtFTcdsSn4fSOE6K0JTKJ7NHwiuccSZo0hbfOjJOIinH2rStRamz1J+fGfWURiqII5JomleaTVs8YqS8oi75CYFJHz/YkGNsRd+SqJ/FbOY5+or3NXdoE/uZq8yK8ED3CAfwIFeYV77X64zVIrPoZQ2jKq3nStXpAAKWrbbzPFpD5rcepjmnszQP6hTbCNZBF77M8jWPKxZqizc2B1bONvxYwNl6TfnVNP1IX/U36CLp+yE0Op4CBvoJDmGfN6dWzrfLbZ2JqMDZImAQQGpoxKmUkDUEwUA9FJQ0QBmzEDznRKNXLpkEMHNVEZGBCbmg/qMqZrt3bYYcdAvkkLVOdG1SQLRMgf0uDInJIKkI4NfDICSYbkipySrI2QSKBNDukbAOKcpHoaTtJZQZSJJm6n0RE2ibV6LykXz6xzTCkqbEHKBKI3OmESKc6KIcJlAaWRMexfa655gqmA3VXNgMXyVq9pK8dSfPazsBuoGN+Vjf1pKH1rBfJVlHMUOoqf2Un/SHspH44SVc7yMvEbbW1silrNfAyfSgbAiIfJn4EVnm4GaiDY4GmyksFD22lPAYWbeucEKBcriHiMNf+XjrPD3XQpwwEym3wok0Z6jK1cv6EPgIvLagJtiqryRPZcB1pE0w2CAdBi4ZdP0Q2vaue8z56n5h5nTcG7aIP6uf6jcnDO9gYr36ORHgHtSuCrIz6r/fbJEMrYdKqPzMlx/p19bxJy0Tona6uGUeq4078ZZ0xnplrCLEwqOppjEMOjFv6g6CfEIIJ/sY2Yx0hlWbcc0irdqvmBdfqwfhIGWF7P4Ik8zhyW4/TeKwPaBN9w9imzcwf+pLyENyrBa6Nz/blnDateg4eBCF1qq7p89Xx5H5p6pAz85/yTy5+q94n0MK8msdYBauysqoZKwgq+ghyqE08o18QDM2j+ox53XPaXv+pkz7Xq4AgGneMR8Yrcz7htrrf1S8lEIGIBcg8af7COYwZ+AhC3NWzvblu3lR+xLwo3nJT0E9dk47xS3DcaqHPxFQFNaSJgFYDkWNSU0FElf+EDkBrhlDQ2BlgsHgmZtKouP0dNLi8EUqBxKCs8vHy1l9o5EecejDo18+RG8SruoZISkOnrK7Jj+9TdS5dA5m8q2smRh23Over49BeIqUkfoOvl8XETN3f1YRTFEUYhHRwkhAhQZlISgapOeaYI6QvuG/C9nIpp2vqIK66wkXHJelJz2BdFEW5/RKijKQa5NxXZ5pnxFw6gvQ947gKBmPp6vQGaNc9A3/Xq2AwgInyiCe+e8qqHo4F16UpHcEz4vh1LrjvmuMqwMXzrRAM+LR2BAACHIl4oN6BVqjvlJbBYG2BSD0dA7d+QmgjkAjGFZMOwiIuoqmPEkpp2RBGmlTjgvuNgabEIif+i7RQLBXaqjFed+feI+8ywYswatIzZnT3TN7rOQJFUYS5wzxD41N/EqEyBukLVSC8IAyEdHEJsCZ7AjAhhsXH3GXcc78x0KT5UAbNKYWCMdkY1Bivu3Pjlz7nnae50ycQ1+6eGYp7CLw+i7yzuA1FGforT++tfkIIIVjUx1eWUAIDbXbVT1hZcBHKpqIownxnXkRepUNQNa931fbmS8oaaRt/kMuurCTd1dHcZc6nmJGmvtNd/OFwr8/EtBEcjQdUg7NJxYBBS4Z0MHczsdLaMdmaLKjbOQST1jQmwtqYZqef8+8wgZKoDaQGVJMssxzMmAQ7HYPhVj+mJcIadxEaoPrgOdyw6Kq+iDvtIxLPJFfFM3HCzLtSXfNr7KhbaLjSeH/4azFxTu49IkDS9ldWB+0j3Z4GrjkmM8IoIRzB7emzGW/yCNAqMaeawFlZ6ppHfoHaupGw0oQho1I30Zt/uPyYm5AOhNO9ZqEoikBOWf74fepPlAZvj9v1FSZg1hvEVJ9AerqOPTR3zDcUShRJ+u7QlKJ/c2WRIoiyUtJ8GhvkoA+YW8259TFXP0HOxaEIoiAi7HqeEEOZUxSF200DDSkB2jxOw0qwlWbTyE0uypvftHGN4ESwJug2iTqsLvUbMW1EDVE1kJAkNBbTLzW1F54vhQmHf4fJQycgVfIfY+Y28fSmcRvzbpdzE60Bk3mfj6mBDA46KMd40lu71CXL2XMEmH74FNHENE6oPU+lc2OycNDimBj4kzLVqi3NmAmGzx9th2sCjSdtqmOBWwdzFaLJPOlaV8EYxBdbnt5BrimE5sb4xiPBdRMbP0XHAsGS+wBCqny0MFVc9xsDslxdk7djvzQv9XuuC+75Hc6BxYlfHqGdlc6EDg9trZ+YQxAK15AR7cp/3znNJd897WJ85ZfvelfBOgDtpw/RJBImuYQ0xtde8nJd2tWx/sHFQHn0Cff5Ldb7jGv1YLFmdS5dx64h0Qik83pQvvp5b48pg7hYsYJVpFT5KIuUv7fptUp8lguCBEHAGgyuNcqGc6gnbTmlmWvq610nWDoXuJHBhMXSe0fwcb1ZYPXi7+0eNy2uHwQS6bpWD3XBWbrVPaRWGfAkZdSu3eHPR9l9/U3fqNLRRzxbv6Y/6ndVnHb6HTBi2ggCqVcj8z80+NMwCCRhEoMBhireC20Vs8nbAELrauCvN2Zj2u16zkROIldHLxNXCNIe0z43iMGWnNoVx3YrNz9b74DBc/vttw+rututDv1dXgOqidyAy4TKTcPYwC+MicwEwGeM6wtzHMJJu0HQRQr5fFZlQjJpHpBEfuTV9Wa/drZAdJAYGjaCgklGXBoUpIagSKNqIjKpIQ4m8GoCMqEgSggyMyLtGjcCWhCrgqXBn0y9kAHl5WYimAAtPqC5kgaBnaCKaNMMmlw8pzzGQD5wJqDKT1kcEyvy7li8ZkFZWaeQuGqybhavla4pq7rBQH2RPG3OTKsfqDNXI8IL07t3Cjngb2rhT910rn9w29AnkNTu6slPnrZee2hH7ycNvme0tckemaCR007aDPYWmbonHvcpfYnvoT6hfPoXIuKauc74Lw3KGISGMkKfo8BhRtb39TXp6vOwEBATi77kI03lq7SBrukjsPHOKL9rjQFpM+8wIbNyCt6pZgS88dlWPNcO6k2pxc2NEAMXazkIscz41jzwJ+XGwXrLhG8RL6GnqhN3M/3JeEQQdl7da/zlx07Q4Qbk/TJ+GdNxHUFbwlMbe8eVxztsPKnSUi7jA99YcRHnqs25LCGcXOWMAQQmfcEYaXw0JnlGf9VX1d27YSzT/wkfNMTiq48+YQyAlfyl7Tn91zOutUoYNGLaWGGNwRcMWeXHYdDRcTQ07arV2iYXje6lEYfk6qXVIQCqMxgIAN+YfrucIykmXOZEZFSHo0ntyv+pXeqV5eweAZK9XRiQIOTUxNb9E51712BNGLWzgnHBYpNx48YF0oiEIQH8BfmG0aTyNTTIM816Z4wZCEeFEGsNtyL4IhLV9Wa/Jh6kgI828sLEy81CXJ5D3uoAABAASURBVFptYxBLjvZBOGm5lQlZtv2MePyn5cVFySRBwCRomyj4m5uguCfQ4pls3POMulhASAA3DrIwSVe+SINFHEVRBCEdeSbAW7hDk4Z8mcT4LhojTVDyNS4qUz0gL3b7MEmboJA7Js96nFY7RrRgqo2N8/oE7JlMlRU+cDTJ0qDrA7Sp4lvkClP9QFxBO/M9hy9S6FpXge+7dBAC8w5tlrYSX9qIrT5ojEZu7ICif/BlJXQUxVur5pWZ6xr3AeVBWm655ZbQvrR32lU9kG5lMwdS1tD+WkBnXhAPydKPvCP6C9KDXOmnFusRlggb+oSy8G9GYFkjLWJV7npQJn0H+UWYkVMB0fE+FUXXput6Oq1ybGGudlAeixgtDIYDYu698F55Vy3atVOO9weO1k14J4zFnq2Cd95YoJ2qa81+zd2UZnaSoV1H/Lyn+pdzRF8+hBHtoQ8ZO+RJgJIm7SytPLcR5SZo6xc0o+4bv4wDSCaBhvBijGQNMgaaO7gTGE/wI3W04Fj/0D/lw2Kt7+BO+BL3SjuKsNAaTxBU44jxSp6tEIaMmE6u8jQMVmIbcBBREqLJSoPz2aFNATrJz3YhpBKdxCBNSmxnsjo5bPJ+5yBAcjcYGSgMpJ1Ts57XxABvUKYhEwyU3nvkwLlg8qXxkiqSBysaKRYH1+qBhs2gbXKpE9Z6nOqYf51V+fKQL5JT3fOLONAmmPBM9OJVAVEUB+kxURh3aD6QXIsiEBITCcsHYkiLoV6eESx2kDbCTTuDkJiElBt5qPJh3oePSa66RgvE9QAu1TWTMW2xtOtB+YyRVTy/6lKP02rHNI4UFMoqIKBIGxLnXODTh4TB12SPHJpckcDG+iAE+gyBpfFe47m20ybyQDa4W9Xj0IzTPCEwBA3xqmDSF5c2HMYIhnblq0gwQWjVTZ/XxupF8eIZQR0JaoQxhIrGXZ9EPpDIKh/aQf62NH7VNQIWMlSd+0XmpVsP5lH3GoN+NjkyVk+nVY61T70uiB7M69cq4or0GTcIPsZcSqDGeuAShA/t1Hivfm4cQjoJft59gil+Ig6hSFvKi3bfWFEvT71dkFlpsJoQRvR7fId1WVqsPsYz7a9fuUaAoP1llUEqq50kCDDGhXpe+pnxo37N+2K8qK7pz94labdCaFli2ggO7aqX3gBvMjHQWqRQNR4HeBIFjYVGIHEaYEiFXmKSQmOaed4PCGQSU4yAQYs5icaw7os0xQkPswSQAAIprSENBetDUbSX9meYNdmAVxdhkAmTJs0YDaTzDIlAHQHCLBM6AYYwinTW7+fx4CLQNsS0ERaDjK1jmHNoM0gAJGX+mXyNmE0MSrSrVNZMpiQXWgdStY7YmGaeJwJDgQDTIdMq3yjCFil2KMrRznl615kt7Snsl2mcqa6d65RlnzIEmD+5AzBx2teYBpIlbspSHZqnM9eBRYA2kisEKwbLDEvHwOaYqXeHQNsS08ZK8buhetehOMRbXUelzcSGnPKpoebmUE6dT2WuE7rOJMR8gqzSuHAub0w/zxOBgUTAQgg+gggVExDJfSDz67S0i6IIvogWBzBzMd3xxeq0emZ9eo4AHztCHhM3gYV51rWep5AxhwsCRVEEtxhjBx/s4VLvVq1nxxDTyQFshSZNqlWwiKhVtaRpBIBfF3MqrSu/E47SnKb5M/HtQFonl37e7w0CGbcrBPgDMTdy6E+zflcovf06Ym8BBxM+q8nbY+SV4YYARYWVzPz8KCOGW/2zvj1HwCIiPuAsVnyWe/5kxhwIBIYNMW0EzzYN3AA4nvMp4ZuKqDL3WARhwZVVwSY7WzkhrBYzWGDFh60xvTxPBPoLARK7wdFCGlrA/ko300kEEoFhhEBWNRFoUwSGLTGtt1dRFMH3iKnfFh9cAKx49GsLqw022CC4CFgJyxeFY7RtGWzXYQWf1aD19PI4EZgSBGwvxG/atiaEonQtmRI089lEIBFIBBKBdkIgiWmT1iqKImwzY+sHC6zsBmDxFFM/n1Sa07322iuYD22GbbsGpNYiKxvcMgnwV7UTAJ/VJlnkpd4jMKyeICjpY3aUsL1L9qNh1fxZ2UQgEUgEhi0CSUz70PQWWtl42WbNPgRgY2dfc/B1EF9RsC+ZVdb2U0Nk7UXHp9U9++LZ5LoP2eYjwxABGnrmfHvk2Q5pGEKQVU4EEoFBQyAzSgSGHoEkpv3QBvwBLVjhYG/xiv1TLajacMMNg9bVHno+Rei6PVh9gYHvqmtIrf3T+qEYmUSHIkBTb/Nr2nia+A6tZlYrEUgEEoFEIBGIJKYD0AlsU+MLDb7m4jN1tgHyOTKLWmxR5YtWPhjgqxG+yeyrDe7RivkmLt/CASjWsEyyEyptdbEPS9x1111BoEmf005o1axDIpAIJAKJQDMEkpg2Q6Wfr9k7jz+qLau4APjsm30W+RBaee3btkz/Vvv7/Jw4I0eODJ9b9Bk7uwTQlPEzTFLSz43TJsn5dJ7PWfpsHQEm+0GbNFwWMxHofASyholAvyKQxLRf4exbYr5ihazySWXev+eee8KXSnwEwKr/bbbZJgSLYGxthazecMMNYZcAZNYiq77lnE+1EwL6iT12b7zxxjjxxBMj99dtp9bLsiYCiUAikAj0BIEkpj1BaZDj2BHAd75tS2X/1FNPPTX23nvvWG211cLCK3up/u53vwvaVvf5rJ5wwgnhowA2k6ZdTY3aFDRaCz/KBcTiOh9/sDtECiUt3FhZtEQgEUgEEoFeI5DEtNeQDf4DU089dbmP6iqrrBLI6m677Rb8Vn3hZqONNgraViv9aVvtv+qbv7vvvnvYMeD222+PJKqD32YDmeOIESOCz+mFF14Y3EAGMq9MOxFIBBKBgUAg00wEukKg44gpP0yhqwp3wnWLq2acccZAUOyfSpPK1P+9730vaFet3ra3KnP/6NGjw0Is+7AeeuihYcGV7Ydo2uCUmtX26xFFUcRCCy0UXDsE5DTbsf3aMUucCCQCiUAi8HYEBoWYIkD270SULrroovC5z5tuuimsPreBeH9sl4Ro8b2z6t1Xc95e1eFzxebsvlZ18MEHx7XXXhu2q7IrwLvf/e44/vjjw7ZWO+20U/hyFa3qFVdcEbfccks88sgjkXtl9rWfDP5zH/rQh+Kcc86JX/7yl3HGGWfEa6+9NviFyBwTgUQgEUgEEoF+RGDAiSntnJXEe+65Z1i4c/HFFwciZCLdb7/9YpdddomHH344pvQf8ivcfPPN8eqrr05pch31PL/ElVZaKXyZ6rjjjgsLaHbcccdYYoklSiKqTWjdfvzjH8cPfvCDOOigg+K0004rtasECto4oaNA6ZDK2D/X7g7cOLxn3oEOqVpWIxFIBBKBSRHIs2GBwIATU4t0+D3OM888sccee5TmRyR15513Dvt8Xnnllf1CTC0KWmqppUqz9bBouSmo5LTTThu2pPrUpz4V9k+1GwCiyn911KhRsfDCCwdNNm3qtttuG/ZitcCKdo4QgaQKU1CEfLQfEVh88cVLn1OL4QgZ/Zh0JpUIJAKJQCKQCAwqAgNKTK0Q33rrrcO2RxbrfPCDHwxfSeIjOfPMM4cvIzEnN2o4aX2EZuTHNfeq0Be06mk4bkyjSrvZPde6uu+eIL3GOK5X19xvpWBx1SyzzBILLLBAfPzjHw+Lp7SXr1f99re/LU3+2s4q8FVXXTUWXHDBsPBq/Pjxce+99wY3CnVTx1aqVxuUpV+K6H1adtllY+zYseU7Rdjrl4QzkUQgEUgEEoFEYJARGFBi+qMf/ahcEb7uuuuGDeab1c2inDnnnLO85bOLRx99dLnyfOTIkSVBYl5+4YUXyvt8UZmZfTlp5ZVXLk3RtESIURmhB3/4UTJpr7nmmiFvJMxnQT0q/RNOOCGQ6eWXXz6sgj/77LNL4iUPq6D5biobAmfB0YsvvhhWxF966aWxzjrrlGZwz2y55ZYx//zzl/uP2m/0pz/9aXiO6VUeXBzk2Q5BmUePHl26YiCi6uprVY8//ngwI2+88cbxjW98I3xuFXn19SpfKXryySfT73EQG5jFwL63FkT98Y9/jHbqY4MIU2aVCCQCwwqBrGy7ITBgxPTll18uF2ZYcLPooot2ics000wTJlTk7oADDggaOr6nfObWX3/9GDNmTNDM2fLoT3/6UzApcwngT7f00kuXxAgB6jKDhhv8XBHhc889NywOQjirKL/+9a/jsssuC6vbkcu55547mLiRrKeffjq4ILhmg3tfZRIHEVB2pNoCIj6u0nN/hx12iJNOOqncbxRJtfBo7bXXDoT9gQceEK0tA+3ppz/96eACYAcAXyLyJSuLcR588MHQdtwAjjrqqNh///3L+nIDuO2220qf1tSsDlyzc4/xftidwftCkz1wuWXKiUAikAgkAolA/yIwYMT0qaeeKlfdMzP61vfkiu1rR0jO9ttvX+7Z6Ss3tI60lrRw3AJoNKXFP9KCnuWWW678+g2t5eTSr+7TXiJP3AeYrmn63EM8aWtpS+eYY45g2ka+nnjiiajIJwJK0/qe97wnbNNEC8wXc7rppivPlZl2kebUdj6rr756FEVR1kc9uDS4px6IrHw7IXDLICTQQFvMZp9VvqubbrppwNB9G8IfeeSRpanZHpw//OEPyw8C0IYnUe1dL5hcbNaETTbZJAgMcJ9c/LyfCCQCiUAikAi0CgIDRkxpIntDOK6++up49tlng0ayAoe21R6dd999d9xxxx0xatSo8jOcSKnV5d///verqD3+tZWUVencC5icpW+xD7KKhJrUkWnhC1/4QtA4MV8rl+2omP6vu+66QL64BTRmPNNMM4VnXZ9qqqlKYjr99NOHY9f4c/rt5GBxFa30IossEnwfkSRaPESJtvkrX/lK6eJhX9V55523XAS36667xllnnVX2AX0H7r3pP52MZ2/rxo+buwshywcY9N/eppHxE4FEIBEYxghk1YcQgakGKm/aSCZffm7NCFxjvrSIyIjf+j2aR0TPZOveiSeeGMgl8kK7Wo/bk2NfSWJWpnlFTu3vyRWA5o67gD0/pV0F5Wd6d/7nP/85mOd/8pOfBNM1zWpP8sw4kyJAuwr3M888sySifG6XWWaZICgQBmjK+a7yL+YWcP3115d7sRJc9JFJU8uzrhCg3eeuwuXir3/9aylkdRU3rycCiUAikAgkAq2AwIARU5Wz1RBfU6bwrjb/Zh7nwzn77LMHbWLjimLPMQXPNttsQUu6zz77xLe//e2gdXNdPr0JNJe0ovxWTdo2J0c8pU9Dy8e1nh5Cyo2A/yh/UyvSmaT5xSLL9bh53DcEaFZpVWnA+f765YvLRQIpteUY8nr44YeH9ucnbFukSohIzWrXuBO+bAM2fvz4YNZPrLrGKu8kAolAIpAIDD0CA0pM7X/JVG6z9ksuuaSpxsYiGQQPWZxrrrnC+XPPPTcRGVpKGjaaU+QEeVxyySXL+zSo5UHV/zYwAAAQAElEQVQv/hxzzDHhOZ/03GKLLcqV+Vbl0/DOO8GsXG2RhDBLFgFCSpnvuRTY+xOBdr+Z9k7ansvQdwS4TdBs00oTQmhXbU9lJ4DKb9citXHjxsUaa6wR7hM0aAURL6HvuXfek2uttVaMHDkyLEbj+915NcwaJQKJQCIw9AhkCfoHgQElphYHWR1sRTrzLFLIlxNxQPYsjvnEJz5RbqtEY2pVPn+4sWPHBtO6Z2kwbdBvwRFzrw3efZ0IgUR4aVTFQ0oQWoubaDgtpmoGEfMxIuOLRrY78hUqi3YQXuWzkIr2zupmuwnIC2lGWvlO2mqKL+QhhxwS0rAtjzLS+r7yyivBh1Ia6njfffeVW/Yg5e65hmhbaIUMcx1oVsa8NikCfHR9oMGCMwSLKwdSSlBh6regTL+x96oFaIQHuzdoWxpvAgTsJ011+JwRpD7zmc+U259551gxhk/ts6aJQCKQCCQC7YTAgBJTQMwwwwzl5y2Zv2+44YYYPXp02AsUobP4xQp78QQEA9FA+Cx0stjooosuCtpS9/kd2kLqL3/5S7kZPCJpv1G+rMy+zPsjRowIW1AhJnxHPVcP4iMrFoXwUbU1lclaHPnYYofpk2nfdUQWwV5hhRVKzRztLvMyTZ54s846ayC1SBKta1EUYasoGjx7rPoUKBMqv1TEG0lVZ+ZoJFq+GfqOAOwt9LEt1eWXXx6Ek3333bfcVcEuD0gqlxL3bd2FrBKKCDgvvfRS3zNuwyc322yz4MNr5wT1n3wVMkYikAgkAolAIjC4CEw1GNkhp4igTeYRMz6DtJbNFg/5shBzvni0lYhmVUb7ZCIbZ5xxRrn5Po0m/1XbD/H9dM9zAmKIXFbPVr98FJFEcfgz0pZW9/xK030EGcFESl1Hdm0thSgjPsrFN1WdEGpaW2kKtkLaaqutQvrOBZ9gtTLdcRWUWdoZ+g8B7UTbjYza/stCNxp312wR5iMJNO3a2McaCAvazq4QNOg0q0L/lai1UtIvV1111dJfuyeLElur9FmaRCARSAQ6DIGsztsQGBRi+rZc80IiMEgI0KjaP9YKdV/qonUnJNB209wvtthi8cwzz5QfdhgzZkzpc8yVxN65XDGQVGGQijso2RDGLDgjQHExGZRMM5NEIBFIBBKBRKAHCCQx7QFIGaVzEOCKYTcHbhcW1fkAAL/hAw88MOxvS8uKtNGsIq7cRLh0cBvx5apO8FdF1i0sUzfWhn4m3p3TWbImiUAikAgkAoOOQBLTQYc8M2xlBLiXWPyGoPIN5ueMvNltgdmf7zONq63GuARwAfDxB24A7aZ9VI8lllii/FhErtZv5V6ZZUsEEoFEoI5AZx8nMe3s9s3aTSECs8wyS7kllS9T+biDgKjyD37sscfi/PPPD77NvmrFJ9oiP7s23HTTTfH8889Hq2sjfcHMoj/l9+WzKYQrH08EEoFEIBFIBKYIgSSmUwRfPjzcELCQb/HFFy93lrA9la8q+RoYLasdAGhcbVVmUZwt0uxCYWsxrgF2m2hFvOzna7s25NQCsaEoY+aZCCQCiUAikAhAIIkpFDIkAn1EwP66yCi/1OWWWy58BMDuDUcccUTYasyOAOIgqvZhtdjKtmb8WVtFQ6l8PmDg87sWh7W6lrePTZWPJQKJQCIwnBFom7onMW2bpsqCthMCRVFEURRh+zFElLmfHyozv69VWUhlSyvbqCGvfFrPO++8sEeu3QB8hGEwP8BgUdjee+8d8rS3r/1gI/8lAolAIpAIJAKDjEAS00EGPLMb3gj4CprtmuyFaz9fmlVfZfKJXF8vo2X1sQa+qt/73vfi+OOPDx+j8DlcXzkbSPSs1pdnURTx4x//uNxGayDzm+K0M4FEIBFIBBKBjkMgiWnHNWlWqJ0Q4AbABcCWVHvuuWe5Qt7iqg033DBWXHHF8DnRa665JnwMgJvAjjvuGD4OcO2114adAvq7rsz6fGZff/318HUyv/2dR6aXCCQCiUAi0B4IDEUpk5gOBeqZZyLQBIGiKOL9739/+MIZf9TVVlstfAjAF8hoMPmlMv3b2sm1eeedN1ZeeeXgF0qr+o9//CP64599XhHgW265JY466qj+SDLTSAQSgUQgEUgEeoRAEtMewZSREoGhQ6AoitJf9b3vfW9JRL/97W+HT/E++OCD4etN3AN8/tbOAIisz+7+/Oc/D5++vfnmm+Ohhx6KF154If7zn//0uBJcC2hp//SnP8Xhhx8eL730Uo+fbe2IWbpEIBFIBBKBVkYgiWkrt06WLRHoBoFpppkmbJBvSyrk8YwzzoixY8eW5NUXqq644orwEQA7Ahx22GFh26qTTz45rrzyynj44YfDKvxuko/ZZpstLMqy/RVf1xdffLG76HkvEUgEEoFEIBGImEIMkphOIYD5eCLQKghYvDTffPPF6quvHltvvXXwWR0zZkzpDrDuuuuGraqQS6v/7b+62WablXG4CPh6VTN/UuTUrgH33ntvnHTSSZMls62CRZYjEUgEEoFEoD0RSGLanu2WpU4EJouALaBmmmmmYOr/+Mc/Huuss05st912YTsoX7Cy8v+Tn/xkWEjlYwC+ZmWHANpV21ZVuwDMM888sfvuuweN7Omnnz7ZfDswQlYpEUgEEoFEYJAQmKqv+TDvMRVmuCISg8SgXfoAn1GmfME7/IEPfCBGjRpVmvkRVQT2qquuCv6qFmFZXOULVxdddFFsvPHGYe9VpNbnWNulzlnOfD+zD2QfyD4wdH3gL3/5Sw+o5v+i9JmYHnDAAaUvm4krw8qJxcqJQbu/BxtssEFY7U8rynRv9b/B3AIrX4bafvvtw8r/gw8+uNSetnt9s/z5zmYfyD6QfWDg+wBFx/9o5+SP+kxMv/71r5cbf9umJsMfE4s/JgbD5T2wdRUt63Cpb1/rmc/lmJB9IPtA9oE/Bivb5Ono/2L0mZh+5CMfCZ9WzLBG4rBGYjCc3oNll1025p577uz32e+zD2QfyD6QfWCyfWCFFVb4H+vswVEviGkPUssoiUAikAgkAolAIpAIJAKJQB8RSGLaR+DysUQgEUgE+h2BTDARSAQSgWGOQBLTYd4BsvqJQCKQCCQCiUAikAi0CgIDTUxbpZ5ZjkQgEUgEEoFEIBFIBBKBFkcgiekQNdCrr74aDz74YFxzzTX9WoI333wz7DF5++23R7VBek8yeOmll8Km6s8991xPog9onH/+859x/vnnl/Xw66tEA5phF4n7EtJDDz0UsOwiSl5OBFoAgSxCIpAIJAKdg0BbENNnnnkmxo8fH9/97ncnCU8//fTElrjgggsmuXfhhRe27OcTX3nllfJrOzvttFOstdZaE+vQHweI6WmnnRa77bZb2IcyevgP+dtoo43iz3/+cw+f6J9oynvqqafGrbfeOjFBe2W+613vive///1xyy23xAc/+MGJ9wbr4N///ndJ1HfYYYfYcccdByvbzKdFEHjiiSfKMed73/tenHLKKW97l7zDPlJw0EEHhT2djT8vv/zy20r/+OOPx09+8pOw9+vll1/esmPS2wqeF7pF4K677gr7/Rqrqoj/+te/wscpDjnkkPjBD34Qv/jFL+LJJ5+sbk/8Jewee+yxceihh8Z111038XoetCcCxoKrr746jjvuuPjpT38aFBqNNaFsMS/rN/V74vroifHBOKFvmBPrcYbj8VStWOnGMk0zzTSxyCKLxA033FBuAP7b3/42FlpooXjPe94zMeo888wTM844Y0lOkQpfrZlqqtas3jvf+c5YcMEFw+Q3sQL9dFAURXzmM5+J/fbbL2aZZZYepwrPE044IXz5p8cP9UPEc889N/bcc8+46aabytR+/etfx+c///n45je/WX6R6Pjjj4+jjjqqvDeYf/SdESNGxIsvvtgrzfNgljHzGhgEWA0OP/zwkmRccsklQYBEUJ9//vkyQ+PLGWecUQp/v/rVr8oxxxexjjnmmGAJKSNN+HPnnXfGVlttVZLa+eabL9z/3e9+N+FO/m9nBLQ/Jcn4CcoS40NVl3POOafsC3POOWd89KMfLecr41h13+9f//rXoABAVOaaa67Ye++947LLLnMrQxsiQPCguBgzZkw8/PDD5TZ673jHO95WE8T1q1/9atx2220T7yGl9oQ2tugLxpd99913QHjBxEzb5KA1mVsDeNNOO2188pOfjD322COmnnrqknh97nOfC9erqIgr7ZZru+yyS3z4wx+OZh2kij+Uv7SBc8wxRyyzzDL9XoyiKAIpX2qppQKh72kG008/fay44oox88wz9/SRKY5Hm4R0vvDCCxPT2nDDDePoo4+OffbZp5Q+Tezf+MY3Jt4frAPEVBvBZbDyzHxaAwEbYvsKFiLJlUQf/MMf/hCVtgNx5fZCw8EV59prr435558/TCp///vfy0pwoznssMNK4fBb3/pWOWZ96lOfil133bWcwMpIQ/snc+8jAvoEy9Ibb7wxMQVKBpuIjx49OjbZZJP49Kc/XVpaKFP0HRGR0d133z2WXnrpQGQQ1JEjR5bxPS9OhvZBgMvcl7/85TjzzDPjZz/7Wfn+r7nmmk15x/e///2o9xe1RFKNIWPHji37wDbbbBOPPvpo0Li7P5zDVO1UeWShKIrwG03+FUVR3mMCjgn/TCC0FiYL0ozBhGauMrndd999pVaE+eWBBx4Ig4PjKjCF60z33HNPGY9ZmZpduiRf8W688cYg6UzIrvyPZPmcozylb+KqpGoqf5Ob56TlvHyoyR/5ykf6zEXKZgKUr/RIW9Inid19990TTYTK54X529/+NtGkIL6XQDrPPvtsaT6SjnNZe0Yc5nS+pq6ZWGHGxO/Yr7yYGtyvB9eUTb2qIH0DcT1e/VjeRxxxRAj16+opDb9Mn7Tg999/fz3KJMe0F9pO/sxiXux6BG2t7tL0q571++qrrO77bbxfj9vVsX5S5Q93bV/FhQEfVenDt97mTH9V3/L8gw8+GNrCszRv0lIfacC/Hkc7IkeuPf/88x7J0E8IrL322rHccsuVEwzrBmFJuwiyYKlBKhZddNFwf+GFFw5EgyD8l7/8RZTSNcX7wlXHeFUURay22mrxn//8pxS8ykj5p+0Q8B6edNJJ8cUvfnGSshuPjTXe/aIoynvvfe97gxKiPJnwx3hmLNCfqj7x2c9+ttSoc2eaECX/twkC5nmCqPH74osvDmOBNm0svrkT8dxss81KIbW6r79w/zGmGD+KoogZZpgh/u///i9+9KMfDXvhta2IadWoTX8bLiIzzHHMwhoaAaJyN+nQyCFGyIKBwUBx6aWXBoJDS+IrBbR0zhFE/qpf+tKXgvkOCWAmlzafkS233DJoRhAcZIEpmoblhz/8YRx44IGx6qqrlgt53Kcd5I/G/OeXb0lDsSeeIilHHnlkKXmfd955YeBSB5oc+SnvL3/5yyCJbbHFFsHfzcNI6rhx40oTEd9cg6V46ikdpkTpsJts3AAAEABJREFUfuELXwjl8Iw6GWzFQZi9NAgPEyYcLrrootLPjnQIB4Ov5wT50gLwt1Iu2G288cYT6yxOY0AmvZReyAUWWGCS28j2WWedVWqn4I0cI4yTRPrviZeeKYRfD5cA9VZGZF4UBJ2bgLpJ69vf/nZpftWu7qs3U5u20G7bbbdd6SoiXfd7EqTBrKcv8EXUx37/+9+Xj7rHd0je/M2Ye/kkSh8Gnvna174WfvmkkZiRUfeZkMVXP9h6ninIhIiQKi+fps0337w0H+rPZab5Z4oReN/73jdJGkytSCV3Fzemm266krg6rgISwnWGS5Fr2lFfZrlxLvhaFouPvuodcy1D+yBgPKUZM/6/+93vnqTgM800U3zsYx8rSYV303iPsCy//PKlJUpkShFjp68mOheMf+YYfcyY4FqG1keAwommdOedd47FFlusywJz73ATD/BbBfMyIYV1k0BbXWd5IewSYqprw/G3Y4kprenss89eEhyLpJC3n//85+FzihzPTe5IK2JgUCHxuIdM8rNceeWVy4FGJzG4IJtf+cpX4uabbw6mGefikoSQPWSH6ZyZBqmjRUN0EFQDFnIiHhKHnDDp0Z501eloCqWn7LSHo0aNKp3lmdtPPvnkQESQMCSzmuxo42aYYYZS8qJtlTaJnUlafJpNpiPlphEygIpDAwQDcZyT/AyYSCGiO9tss4UXEAFDiNVPPC8XojrrrLOWZgzEW/25AyCnnhOvMRAaSJo+49l4D+4wRRaZReRJO9UYz/kVV1wR/HM2mWA646vFhQMp9FIjd8geggBrx1//+tdL9wDPuG9wQfy0E0xgjOwRCqTfk2Dy4ZJAekaMaciq5xBV7YfgM88QihBV+RJiEGq+xvJm7kWkCQ8GKiRHHMKTiUw/5cpC668f6wew4b6C2NIGV/nmb/8g4B0mgPJp9655J7tKmVZ7iSWWiHnnnbe0XujfrmnHxmeQE32m8Xo7nA/XMiKNBETuV97ZRhy4kBlHCB+EU8fIKcGY0GJsJagQSMxLjc8b4xHfxut53poIUBRw89LG2prrBsVMNe8qtTGAhh1vcF4P+oN7H/jAB0orb/2eYy4gfodr6Fhiimh94hOfKH1SESCTBsnGZI4YIVdIGy0V8sDkrxPoKCZ9ZjjEgKodoaMJQcCQNkTPueeRTiZZRMcAZJHDDBPIIYLCz9OEJk2klI8ZrQsiqTzIsDybBWkYwJAU2poRI0YEooekSM8AycleMFAiiQZPE6FQpSkvq9pJ+OpVpYM80gSLhwBLR1znyLg6uk7jox7iqxvpHlkSD+kz2CLu4sKH1lVZTOriNAZ40pZqG+Vqdt/EDdvuiIDnEGEDAhzhRCpFzmkWlQuJ1r7wkN5KK60UtJCu0wzDRB7qqO7IOGGBGV36PQkwpwnhvkGThoSapNQBMUWytSXyj7TrJyRtactzlVVWKc198CZMMRFV+HtGmxGUYMuPWj21vb6sXoQpZUCCpJmhfxDgdrH++usHiwEXEUIH4bNZ6vo7QZfw6930jnTXHt4B/aBZWnmtNREg+Hk3mVq7KqFxmM+gd5+Fi4BsjBHfO9rduGLcQVrFzdD6CJx99tllIQmilEOsrpQjrJr4gLamLTU3GrvLyLU/2ru7McKYUos+7A47lphqyaJ4y9cHmXQuIGCLL7540Fi89tpr5QIqhBFJY3rVIUhBBhfEywQiLnLmeeSGBgVp1SFp31xvDEXxVt5FUZT7cdI8Ih9VvKIoykVK1Xl3v/Xyi1cUxSRSVlG8lVdM5l9RTBrPBDqZR6IoijLU45lYnSNOygYn54J7BmPSpPPGwC0AaUW4Gu85L4oiaAcdb7rppn6aBsKCgCxXEYqiCHkjb8wkVkwihfX7BgqCiIkGkeXDqTxcOBDdnmBSpedX30EYaXX32muvICUjNPI2kdGeyFPYf//9y4UPFYk3cCGZhBYCkz4izXpQl/q5Y5j7FYqi8JOhnxFA/Gm2aahHjx4dhBkuJghGNPzjV0rwGTlyZHmnKIpuFx4WRff3y0TyT8sggGSYHyzAJcg2K5hxj5aLa5B1BCw+FtHRmJpPvMcE0WbPuua+sctxhtZHwNi++uqrl4sazYOsr9z6zCG0ppQVuAMFTLPaGMPNA83uuUbJ4Xe4hqnareKIAzX4lJbbIKBz+KVR1ZEQUKZgJl0T0wknnBDMK8wsfEHkibxS2TOnkpYQD9e7Cwa2/ihzd3kMxT0aRhpSAzCS6IXkN4u8w6axTAggbaaB2h5+/GOZ2OGDnMG78ZnJnXdldjcokEqR0HoaymUSMChoS4KFwYRUiwjrE/X4kzum5WT+Vy9+oQgqjag6kZy5jdAw14N6Izh8DZnwkWgSd51kTy7fvD84CNByc7XQpwkz2rWeM025sQN51RfcQ0C8G37r8WlIjF+sD9V4In7HhzavIKGEnz4NqHfXmOVdZ5WxfoH1zVjimFDKAsN8yxeVEoMvP79lVjbWEFadCpJqXqC0MAZV1/O3tRHAGwQCqZJqX4KLeYdlZezYsWFsoLzSZyg+cInf/OY35boQxFM/MUd4vgrGCEJOV4S2itfpv21FTL28JnQaumZmj0ceeSQmN7lrdAFBMXEgIksuuWS5JyqCZSsQRJUPpmP+nCYnREZnQGJIzwYeZuRqMnKvq6ATkrRNbF3FadfrfCe9lEzY/E3hb5ERKbKxTgZkE7zB2KBeBW2K/CO3jc90dW4QZzLnX+mFr8ej6eLrRWurTev3vPiuzzvvvMH/12Tyne98JxBDZth63J4ec7HYfvvtY/z48eXKS6Tbs/qGLWQc1wPNigVa/FL1NeZiWleTVj1eHrcGAlx0uNAglPU24v5jYR53Df2tXlrEExGpv/N8to1btOz1uHnc2gggGyxmhOBqzCLwsq4hIY7NPTTnxj+1MTZx7WAZsibBNS5HxhjvvnMBeTEHWTTqPEN7IMACZt6p7+Jinte+rLL2JVWTqr/oO/qRec41/QMxNYbUySmrmfMkptBrk4CYIjYaVmgsNumE1qt+HQlFRqprnqO1QDYNCK7Tbhg0SDkmGSSULxFpyOIYi1bEEy655JJyixjEqCiKoP1zvR5MPnVNiY7K/8hil/pExRxQf66r43r5u4ozVNct5LIwykIqflV8bKqXsrFMJmsaxHogSXqht95663Kj/cZnujrXRqNGjQqTAq0j0isuoso/WPvy5+XzRRPunsB8bpJhQqfd1T/43bpnonHuuKdBfU0uCIt+ZP9V7crHGZlRPxq3qg1JzDSkJjREvCKkBi0EvTHf+sDXeC/PBwcB7zMtO1O9fidX7WehGv9vvr6uCXxR/bK48P+lFXcu8FWVDqHWeYb2QGC99daLxjGLIGsTfSZ7ggZh1zjPd72qFfKhvY01rvEntxMJDapzweJJZMYCTucZ2gMBu6EQRLhuKTHrHJKJnxBg6/3FMVct/YMCwzltq3Uo5i2cRBrGetp3cao5yfXhGNpKY1oURTlA0MbRcjGvICFMp/wSaTaQpHpDmvCZ3cUxSfABsiAGcaniVZ3EIhODjOsmFsHipYrAus50jVyagGw7RSOHHCFEiA6tGbOO/Ky68wySYvW0rSD4pXAFoK2zCMuAph6eEbcKJCyDFukJ6UOuLMhwzXMIDs0j1wNaGx3axIf08ItzzEEbSbrssstKAmcxjpfH4CktedEI00CLowwV0bLinZ8tEzS/UHmqq2cs9FA3fpTINjJm5btAOLA9E8mPACB+FYqiKEk9ElcP7hvABcc9DVZDWsVvxwNtZQLgEmCBk0mBKY1Uysyu7EgqbSXzfVEUQeAgQEiHJhwG8kaw1RuOcKINsSIXcXW/HpBJg5T21za+VMXfiEaWTymNifwskiMFazeE2gSFyI4ePbrcnNkqTxI47Yr8tSt81ceWXNpf+vITVxsiR/LVbtqaq0S9bHncNwRsyWUs0LeZ6bUprbi2lCKBwg4P3n9WEwRUIHiZoMShLbcDh/fAO8Gkq10JKfqGOBm6Q6B17hn/6+OVY9eKoij3unWMdNCQ6hO2lGL2twOHccj4EhP+mQdcMxbpU95j77d+0ZUwP+Gx/N+CCOABhFLzRjXvs9ThFviEPlIP1dymr7iuSuYr8VnMLAg29+Iwdl9xfziHtiKmGsqEjsj58hOS5cVGFEm1JgJx6oG5HiFAMEg4yBPiUo/jGMFBIBxXweSDOFTnfmlUObTTmJq8SMzM2EyyOh8yoWMx6dCkeUaw0IYvIoKK4OiUNuXWsddZZ51yiyfxqqC8NMQ6rXSldemll5ZfwFImWwshJEgLMk3DiywiUwgPszoyiVwizsgZQo/ImywROeWEHWJLo6dsyDNSC1taAYOq+8xPiDCMaRzlZWERkmV1vfK4pj0MziREWFT16eq3KN5a7ERj3VWcrq4b9E342oBvp3YgjbruGcKH+wgFUucabQV8HHNWR15NKvBgWocJXyHkAQ408NoceYe35+pB37J1mG3ETDjwgJE40iUM6FfSUT4aVBpi2lyrOH0+FpkhAI0bNy70Y5pW/roIrvvalGQuf31SvfQPedLgSddgiNjKN8OUIUBj4Z2s3jlmO++GSUPKBADtp32811UgoAjiCPo0Ic27pb0IxcYt9zK0LwJFUZTjsPb3LqsJskHrSenAZYNgSTjx7vsVRzDuE3L1IfHEp6xwL0P7IMA1z2JXGlKWE+O1OY9LRlEUb6sIBRQSatyobuIm1qgY0wkyOAXXOPN+FWe4/rYdMS2KIhAhEz1SwbGYTyNiaJJubEgSisGAhnXs2LFhwjGJN8ajEUE069dNOK7XryFjtLI6JVLCDCN/xJBfqvJUAcmonvWLUNAuKou4JilxdHL364EmpkrHrxdAJ3ZcBThUx36ZCJnEHVcBCauO/SJRCKdjwctUPzeQGmC9RO4LyDGCpOzOBRIj7az0+WkiXDRMtAW0AQQI2tp6nZodF0VRfgzA9lnN7k/uGvyROmWi6apIafWcgcCL7746IYvVPc8SVNSLmY3GCx4+YmBwQOY9JyAVzbQa2gWRqfoinOr90JZf2sV9HzXgjyt/biIECnhX5aJx2W233cr9c5VLvoLyE5z0G+eC/m+hheedC9wCpJ1hyhBARAkpMGWJoQ01iVSpGifcaxb0tyqeXwIqQcV4oa8gMK5naF8EiqIIbWksrZNO7/TIkSPDeGIcoQCpjzdVjb2nlBtckKxvqK7nb3shYGzXB4zB5kjKDUqkZrUw1xjHCav1+7iIuV4alEDmoKJ4O7GtPzMcjtuOmPamUWgmexM/4/YOARo/2j4+NQg8vxiaRuQdMUXuepdixk4EEoFEoM8I5IOJQCLQAQh0LDHlf8esy0eTCbwnZuUOaM9BrQJNtC2eaBj5U9KYWpFOe0oDynwxqAXKzBKBRCARSAQSgUSgrRHoWGLKJ9IWLj5TSV3OR7DtWqrFC8y8jZgya/E/tSiEjyqTBc1pixc/i5cIJAKJQFMV3KcAABAASURBVCKQCCQCLYZAxxJTi1BshFwFPp0thn3bF4cvJZ8q/jVwtniH9pQ/TdtXLiuQCCQCwwKBrGQikAi0FgIdS0xbC+YsTSKQCCQCiUAikAgkAonA5BBIYjo5hNrufhY4EUgEEoFEIBFIBBKB9kQgiWl7tluWOhFIBBKBRGCoEMh8E4FEYMAQSGI6YNBmwolAIpAIJAKJQCKQCCQCvUEgiWlv0OrcuC1Vs1dffTXOP//8eOSRR+Kqq64KX6dqqQJmYRKBRCARSAQSgURgQBBoC2KKqPjcpU+K1oPrFSoPPvhg1O/53Nsbb7xR3W6p33//+99xyy23hC8G9fden+rsm7u+JgGDnlb82muvDVs9+WZvT5/pa7zXX3897rvvvrj++uvD5059nk+5q/R8wtHnH31VxXeIbd5f3RusX+Xx6VZt5Kteg5Vv5jP0CLz55pvx4osvlgKRz9L6wtlLL700ScHE8bnfm266Kao4npkk0oQTH/kgWN1www3x6KOPhn414XL+b3MEfILSJ2vtk11VRds+/vjj5ZimT/iss7Gsuh/x1pG+ZPyvxr63rubfdkLglVdeKeevOudw7D330ZnGuhgHbFmpzR977LGJt8V17rlbb7019I2JN4fxQVsQUwP+RRddFD7t+IlPfCI22mijOPHEE8vJo2o7DevTmCussEL4VKAJQ6NX91vpFzEzoF155ZX9XqyiKGKppZYKnxmtPn/Zk0x8pcmnMQd6/1ET+i9/+cvw6VSfNV1xxRXDZx8RYwO730MOOSTsj3rUUUfFZZddFn/+8597UoV+jaPvGExobJtNLv2aWSbWUgggnD4R6BO3Phu75pprhu3QkI6qoISWcePGxU9+8pP41a9+FT4scfDBB08ysYjvwxOHH354/OIXvwifOdW/qzTytz0RMDYYo+zXrK9UtUBMfGp0/Pjxceqpp5Z95sgjj6xul78UKHvssUcY28xhPjN81113lffyT/sgcMkll8Raa61VchF8RFh33XXDZ6cb54t77rmnfPd9mviHP/xhqZRSUwqqP/7xj6HPmO/wF+H55593e1iHqdqh9rPOOmv4TrxPYPoeMdJlYHC9Kr9vlGt0ZMwkoZOIW91vpV/aQORR6O9yFcVb33H+0pe+FDPMMEOPk/cxAgNm47e+u0ugL/fuv//+uPDCC8Pep6ecckrss88+ce6558aPf/zjoIWYaaaZYp555inDBz/4waAtnWuuufqS1RQ9o+8sueSS8aEPfWiK0smH2w8B/XOqqaYKRPOMM86I1VZbLYwtZ511VphMWGpOPvnk8OEO5PTAAw+MMWPGlG4nBCk1JngirQTksWPHlsIyi4R3rE5mxM3QXggQLn73u9+VfaEq+bPPPluOYYssskjZ1gcccEBsu+22oZ+wDIn32muvBYGHixIhxfG0005bWs48L06G9kCAIsyXJQmlVaBsIcgaF6paiDd69OjSmksBY0wh6LpPg6qfrLrqqkHw9cGaSy+9tFTKuD+cQ1sQ06qB5pxzzjBhIC9TTz11dXniL7P4O9/5zpLUTLzYwgdIdAsXb0CKdvHFF0flarD88svHrrvuGl/96leD9piGyeS9+OKLxxprrBGIoZfa500HpDCZaCLQBAFfMUMcTBirrLJKIJ6ESKSTNgTBYKZlZTDmFEVRjjmOH3jggTJFWhICF6sAwcpk5eMTrp900kllnPzTfgiw3u0xQeM5atSoSQr/wgsvBKF7gQUWCIqHd7zjHUHI94uAiEyjSkOGsFKqvOc97wla+SuuuCLOOeccUZqFvNZiCFCgGA8oyFhwBQKJsWHkyJFRcRPv+k477RQsbzTorIO4S1EUQevObe7JJ5+M9ddfP/SFeeedN1h8aVD1pxar9qAWp62IaU+RKYqiNPP//Oc/DxMLbQeTCe3Xhz/84aD5oNGg7SCxCqTX0047LXSwoigCCT777LPDJEQF72tGm266afAtOeaYY8p0dc6PfvSjMX78+JAeTcpvf/vbGDVqVDDhbLfdduUgpQO671caCNc666zTrYn66aefDuka6LgxSE9+Cy64YCmF81HaZZddSr9QUpqJEj7PPPNMqCuzPKLHbUCZPvnJTwZS+Otf/zqWXXbZsp7nnXeeR8IL9Zvf/CY+/vGPl1ofLw1/F64TNM8k/q222ioMptKFQfnghD/85hBLnyVVtqIoAuE2CfMjnRBlkv9f/vKXY+aZZ46iKMrrBm4TPH9SkzfzFoy80NKgWd1rr73KuI1/lPPqq68OkiatFlw9V2mkDAi0sptttlnp3gAnmlmTi7S07U9/+tNYeeWVSxKsLZ1L1/2eBGkcdNBBZRqrTpB8N99889Js61n3zjzzzBg9enQg2zDSp6TPbcFE9fnPf74sm7xpuWlO3Ic5HPbbb79gNpKGgctEpl3VS9/WT2nm9C95ZphyBBAHAm6Vki+c0dzPOOOMob/qpwsvvHDZztoQ9vwNTUiVNsSkxNxP0KrSQVSkRcOi/avr+dseCBjfuYmZK4xX9VKzTnk/jQXa3rh78803l/NI1Sf4nT7xxBMlYa2eNWbpCxZ7+q2u52/rImAcMH8XxVtzmJKad82L1ftuTjWXcNMwVps7xasC4Vf/MPexzrleFEU5TxRFUc7Vrg3X0JHEVGMaAJA1/ok6wGKLLRYGDQMKlwDEi/ltiy22mEjukAREYsSIEaUka9GLSUgcanoDkoUM/EAQJgtzSDhHH310KS1zXEYqEEkT1sgJ0hNyYTJDLpAM55dffnlpvkHqlLVZQKqYAS1guvHGGwNxQbQREWp/xEW5mIqYhkhkBkOkhTO1IF3XHCOJyuQFOe6440piKr0qDt8nwTlzJVJ16QSzgmcF5JymwDNMWeKJYxInQSJcFXYmbT5U1Usq7sTQcMDnVDpIsckf8SIw0KCSHOUFt4bHylPkfMstt4zVV189fv/734cyyhf5VgeEjbbr29/+dqmR5Qe0ww47lP5d7sOQ8LDzzjsHrQVi6Vh9ywx68Oeaa64JOBF2DEC0ZtVjysS3cOzYseVAQ+jRjyymIRHTyiFA+pG+qY/QnCA62lG766eOaZaRbqRGHaebbrrQ7/RZ/cEAWOWbv/2LAMLgHSbQ0Wwgl5/73OeCsKr/sQDQpupL+rwxgPbs+eefD2NJY2m80xb8NV7P89ZFQB/wPht/l1tuubcVFFnhX4i8UkyYI4wvxi5jgjGO5hR5oWyoJ2AM1Cf0l/r1PG4fBB566KFS2cIlTqlpQs2JlAesKBRLlCIWcetL5neCK2uKscUz9WDsr58Pt+OOJaY0owYIpn8mY6Rk4403Lv1/TOI0bTR7HNgRKxOJxuffyIysAyGaBg0kd4kllij9DUk61PG0H0w2Vr+TjmjhZpllltIEjWzQwsnTwgdSMQJpYqO2ly/t3aKLLirLpkE5PKf8TAUjJ5BcWjfkSfrSWnrppUttm+smOoPfRz7ykRCqRBEY2lKEXLwqHeXnSyceaV9aNMfOkXHnBlt1JPEjm3CBB+zE8zLSAiPw0lAfEzbckClxehKsVNQ2cJE+jBGAZi9sPT0EW10RU1KntjAYrL322mGghzkyp1zSo80UB4Gk4VJOdUaK4WTCgaH+UM+nu2PCBe22SWX22WcPpBpxQTxJzLSgIyYIOvoMKdt1GmwCg0nMNRgro+dh6nltj/joU/oRwQTO2h7WnvOMPq7MlZa4u7Lmvb4hQGCjDfXueR+lAnvaM+1Oo++d8E7ps4QefUK8ZsHEZLxodi+vtSYC5gdzAitOVyVkEeFDSPCk/KAwmG+++croCKm+Up40+WM8QFaa3OrTpXxocBGwSHaZZZYprYVyphTDM8wrRVGEsZ2/OsWEvqS9uxsjEFvpDNfQscRUgyJYJhKkwK9rOg/SSoOIGFhgg4TRViFEtB0GCNo4kz3tlU6CGJh0DD6V5HzCCSeUZmTp1oNJTJ7iI1tIGu2nyayKJ45yVOdd/RZFEdKq7iMm00wzzcQXwHX19Du5gGjW43Q3UFbxkKB6+ohjNakabMWDl19BWYuiKE2e0YN/P/vZzwL+iHxRFKXUydzvURphv82CQZ8GGEGHiTiwRjxNBiRO5JQGyz1BPRA6ZNKziDbtKE0tLStHdO0vbk+DNOAhX0RY/ZFFbY5kIurKJXApMCDR4NNcW0BBg05ytgiMdrQxXwNaVT/9yX3PVsf6gmsZBg4BixxYBowVVS4EDO+//ktTb9KhuSakVnHytzMQMCZcdtllQTivNGLNama+oCll7WH5Ydng9tUsbl7rLAT+8Ic/BAVQVSuKIooFcxjFjnmAlZWSi3Wsipe/zRFoO2KKGCGLzasz+atFUZSkCVEtiiJM7LZ94P9jYGF+4a/I9M8MS6tG+kF2YsI/eTO3MuHRrH3rW9+acLX7/wivuEVRTBKxKCY9n+RmG5x87GMfK10MkHo40dzRRNIc8Tftrgq0RjC3atFeodqjik/76bgiZBHOJg2e1xdgO+mdt84QBG1F+Hjrylt/CRiO5EezZcLZZJNNgnRrMnHd/Z4GJFF/4NJh4NGX9BdkVd4IMmwEZVLm008/Pfwy8XhGH6INhVtP8814A48AIYLrBO219i2Kt95X/YpLC6GNtl77cRmxDRrhhACExBAekJqqpPqbdiek9EQorZ7L36FFgPsWwYP1wvwgEIwJJ4RMigvvNg26/sBCx+2L+43twowP+grLifFFP6hqpC85lnZ3pFecDK2JAFcsljecoSphURTl+hLXtXlRFEEpZl60toMmlWuXeax6xq/+YIww3jgfrqGtiKmX20tNFe63sdEsHPGCN16vn2t0gW8HraXJQ4dBIpjjkFHSjYVGFgSRhJiLdSTp8KNknmci5o84ufw8Y6JirqWpc95J4fjjjw+E3kBsCy8aSL6hJt+u6ullZO5CYkmPXt6u4nZ1nWuC9kPyGskpbThplfke8ayngWwoG+2XxW7IqEVkzLGuFcVb5KP+zOSOaWUtsKM9oyndbbfdSuFHvUxojc8zDfM340aibyA0NMbq0xg3z4cGAeMB/2HvPcGpXgpChtXVBAl9TBsy0VkoaNIR16IGQV90LiAz+t9wn3Rg0U6B8GyMMa4hmwKXIab9yn+cdUZ/4RakbuYq8WjRjDOuGSf4mxKCnQv6R1EU5eJL50MaMvM+IWAtAytZ/WFCBpJJYKmu6xPGE7/4AEGFVa0uvFbchtKnem44/rYVMbWqnjkcoTHINzYYUmk/0/p1JJQmr7qGOCBGtCBIqeukGOnSehhIdBwaLIMRwsEfVDwBiaBlJR2RhCpztntVQJp1yurcBGVQUj6kpLpeN4FX15r91svf7P5QXmMSt1IfXgg+J28+sd2ViQaCEEC74AUVl0bZojDHPQnaiL+sQZ7JrMLIIia+s9wDLDJgbiWwVGmSbkmq2t+CMX1BOu4jI/qL454GggoyjqDoJyYvk5QBSJsz7ZmYqvIx81mQx2zPt9ZKcyz5AAAQAElEQVR2QvqT/lIfoKr86wNbdS1/BxYB768FjFxdmOGq3Lj3cLvw3iOj2l27uY9wWBhD4HVuPEFSuP04F2jX/DYSXdcytC4C6623XhA6q8B3vPL7tme2995cQrBELKqaUFqwqFR9gvBpTOJjXsXhm0jItoixupa/7YMAbTnllbmsXmoWEVZWc1o1RjDvm+fsdmO+4LPu+YrLGOtZEbmbUYbV0xtux1O1U4WZePnskDKZz0wUiAWiSvvEbMrpvF4nZIPZzTM0lnzFTDb2FKvimVSY701ItuVx3UIYC5AQVdo31wSLoPiLStMqO8FWEbSryoOo6Xyk54p4zj777GHhjXg6sP0N+a2Jj7CQuJo5QpsElcnKdHkLnkGuETLn0qR9s0UJ8zE8ECPEh6kY0dL5TbIIkWdofGg5HSOJfqWpvJWGjy+MF4XZyvPiSM8vKQ8h94ydDQy0Jl1pwRk+7ovbGJQXkR0/fny5ATVBwsCPzCpjY/zuzpnB+c2OGzeu3K6Jv6mdA2i8Z5111nCsHraT0iYWalnJbqWsycDLzxz33e9+t5x4mGHhZYW9CQNOJhplhmezsqgvVwD4i1+RYsKOciGb+pT+pk/RpuoD+gRyrd96hgAEX8SZFlifJhi5p13lrV21L22dtnHNQCYe7GnjXMswZQjYVo0WncCDgOijfIlpRQkcNO76GIJimx/vKE2pfl/5R/NbpjEj/IijPZEY74u+PmUlzKcHEwF+44TMenCNRYTWyxhEQ8bP3LxknDX+GU+MnTZWV15xaVhZlwjQxlYWI+/+cNeQwacdAzc2605whXr5CaksqlyBLr300nJLRkobfcZag6IoAjHFRcyH5mNKL/MNX3Vcp57ecDtuK2KqcfjvmKy95LZnMcjbR3PhhRcuv87S2KCkWJMELYUOYVNc2/SQcKVXBZ3EgFFdpxWxoprJvorjl7TDj5AmhERscuK3SJvLtGNg4gZAUkI+PVMURSAvyKwBjCsAsmuFPh8kA5q9PcWtgjiIlAELcbUpt+1IECGDIrLFHM58iJggXvYv9TLQyimbsiPKFtaQ3uwR6r60kXhaRXVE1AyQXi7ltr3S2LFjS3M0ad8WS7A57LDDyl0A+FCaZJE7WgCkzUvHlC89Eh/SqExVfapfE7OJHCFHtAQEF2ZwrOL15BcOiDp/XwRQ30D6Xfe8dlIfhJdGF4E2SNBkuQ8Lq2z1J+0OA1pffQh++hXJFhmBiXp7rh70LSQU+dSHTF4Ijf6jTyKatCHSZMJlAlQ+Glvpk6YRUX2ZWwFNHEHJZOUZRBSm2t+KX5o4/Uy/UV5aeFoYRJ8wVC9bHvceAYKMvq5vE0j0T0Ef0q8JE/oKwgp/77h+h4QQiqs+XBRFEEYscNMftC/Sqs/pG70vWT7RSgh477133lHl8t4a24y1BGJjATciihRxxSmKIvQh4zph2HhtzPTeF0XvXYikOfRheJcAkTQvF8Wk7VcURblxvjHCuE0ZYay3k4yxBWpIqgW3OAkOQAGFT9C2uj+cQ9sR06Ioyu2QOJrTatEYIYk0oQhEY2OaRGg8aJkMFAaPynxcj4u4IYr1azQkiEb9GrM8yQaZkS7iRpWP+JqslKcKNCb1Z5FIEpayiGsiQ+BIV/V4jpWzSsevzo+cOK4CjV917BfxpRF0XAXEvTr2i/Dwp3QskO7r54isQdOE675AG8xErezOBUTNxM0MjmwhfconmIgtXKItUJd6cN/zjYFkaYPqetyeHMPf4C89ZBlxqD+HDCJ+7hsU+AVW9/mUqpt6IbdIBTxMLMgmIu85gRYV0ayerX6tujSYEAbEg0u9H5q8kEZ91QCFlHrWREZwMBjBWrkMYvJBommupScov/bXb5wLyBPtq/I6FwgJ0s7QdwRosgkv8GwMhLVq7CDwev9pSrUhAYF1pZF0EoIsfuEaoK94ru+lyydbAQFt7H00lhJgqzJxyfEhEuMJIbFxvKnieU+RU5p0RLW6nr/thwBFFItfs5Ib43EK/ITrGk1o41xvPDHXG0MooMxBRTEpyW2Wdqdfazti2psGYcbvTfyM2zsE+OTSfCJVNLtIKk0BMkhbRCvcuxSHPnaWIBFIBBKBRCARSASGDoGOJqbMaMzG9QVHQwd15+XMz5GWj2aZho9USHtIE0y7WNcmdF7ts0aJQCKQCCQCfUAgH0kEukWgY4kptTnTJ588K7NtoN4tEnmz1wgwZTGjW/XOtMzv1SIu5uw0SfQaznwgEUgEEoFEIBEY9gh0LDHlJ2jVYxX4dA771u5nAPhSWvTDvxTOVpr6Cg7fzX7OqrWTy9IlAolAIpAIJAKJQL8g0LHEtF/QyUQSgUQgEUgEEoFEYMgRyAIMHwSSmA6fts6aJgKJQCKQCCQCiUAi0NIIJDFt6ebJwnUuAlmzRCARSAQSgUQgEWhEIIlpIyJ5nggkAolAIpAIJALtj0DWoC0RSGLals2Wha4jYFsw576y5JOijjMkAolAIpAIJAKJQPshkMS0xdvMpzateve1kL/+9a/9WlrfYPcpUCvpe5ow4ucLFb4V7lONPX1uIOP5Rv0jjzwSvjc8kPl0lba9cn2ByZeA7EzQVbx+uJ5JJAKJQCKQCCQCHY3AkBJTn4P0xSDbDvl8l2/ELrnkkuGab8t++ctfjpNPPjmeeuqpQIg6uiW6qNyNN94YyA5tIJLaRbQ+XfZpPVs79fYLTe973/tittlmC58d7VPGPXzoH//4R/zoRz8Ke9H63J/Pq/qMn69Nvf7663HXXXeFz32+/PLLgRi6JvQw+X6LhuD7LKt28j3kfks4ExoSBHw4wud9l1566fDJQJ/+9clR16sC2a/XXskrrbRSEO7WWmut8LldfbOKI779k31i1udKfUK2VYS5qoz523MEjL/77LNP+NZ5Fb7+9a+XCbzxxhthrPaxEfemn3762GGHHeJvf/tbeb/6Q4j2ERJfyFt++eVj3Lhx8fzzz1e387clEOh5Icw31157bXzjG98IyqPPf/7z4b3HV+68887wzi+xxBLx8Y9/PDbeeOO4/PLLQ1+Rg9977rmnjGNuW3PNNcN4UR9DxBuOYUiJ6Wc/+9m46qqrYt11140PfehDcfrppwetIJLhi0Je7m233Ta8/Pfff/9wbJ8wOa6//vox44wz9nv9CQTM4L3RmBZFEZtsskkcddRRMcccc/R7meoJIgde5G222aZ8eRFVmtoLL7wwkFFk8LDDDos77rijJAVIq4G/nsZgHCP26623Xsw888yDkV3mMcAIXHbZZaGPmUj22muv8t0z8ZxzzjnlpEL4OOWUU+KWW26JE088Ma677rqwbzJLwg033FCWDokR5+CDDw4EVnqufec734mh6KNlofLPFCFw++23B9Jw4IEHRhW23377Ms3HHnus7Au+dnfAAQfEqFGjguLF3FVGmPCHZYWgbewU9Cdpfutb3yrHswlR8n8bIWAOIrCaD/UL7T5+/PhSmH3hhRdKpcp73vOeuPTSS0ueg3juv//+8cwzz5S1fPzxx8tx4x3veEdccMEF8d3vfjd+/OMfx3nnnVfeH85/hpSYAn7qqaeOhRZaKPya4F3TmLQQY8eODV8R8oKbAF555RW3h12AByl8OFWcWX6GGWYIX5YaM2ZM+MypL03pA15+RB1ZWHHFFQM53WWXXYI2I8nh23tJXukdAg8++GA5SehfSMPhhx8eCIcvydGG6IOEZ9adueeeO1geHM8000xBayY3mlHElCBFuGRlQHQvuuiiIFCJk6F9EEA8kIcNNtggtp9ARqvAyqcW+gWN2bgJGlCaUmPSpptuGvoMzZk4BGhEZueddw5aePMdodt4RhgSJ0N7IEBT+qtf/Sp88fArX/lKfP/734/lllsupp122rICtOA333xzmJ/MY/iN+0jpE088UQq4F198cegb+oO+sMQEzSprsTEH6S0TGqZ/hpyYdoe7wZzGdLHFFgsvNJO++DoFE//iiy8es846a2y33XYTTSZMbBq5CsysBozqfMEFF5REMKeYVJiypX3sscfGZpttFq+++mroKLSBX/va18q49913X6y99tohjbnmmqvUzm211VbluWtMMiYkHdG5ID15I1Ty8Rzy9Nxzz5Vp+ozn0UcfXbot3H333cHcN3r06PIejYp78803X2kyP+6448pylTcb/jAZMAd89atfjVNPPTUc00AvsMACceSRR5YvwJlnnhkmTjjedtttE1O49dZbY9dddy0nYReVFy5bbLFF0Pwor8l2yy23nOi/yfygbCZtEp/8r7766uBfSXP0+9//vhx0mS6YOKRbBXmvttpqE3GDk0AjXMWpfuVrYPfr2rve9a7wrGPEgE/pyJEjy3aUBo2lOnanWWdqX2ONNco+s84665R1lJ4gTVqM+eefP7SXz6tW/c19EjCJFvHVN/TLRx991K0ehyeffLLsY0iOsutftG8S0O/0Gf1Tn0Syq75C02IQW2WVVQIeyyyzTNC2VM+a1JQH/r/85S9DOzMNqa/2oaXT//Qv+cgvQ9cIeLdHjBhREk6xtAnhGd7w5MKiH5x11llhAhLHr3EJ7s6REBpVbijOBe1mgvKOOc/QPggwybPomRuQEO9yvfTGW+MulzTXjUlIhnELqXWNdZDAgoA4F1ZdddVSC0v54jxDeyDw0EMPlWQULzD3TjfddJMUXD8QjNNV+1O2sAwLBBnCLdKK53hYX0Fk9RF9xbXhGlqamGoUEojGQg6ZPQz+hx56aDBBI1w33XRTMPFSpyNlGpq6HIFC6GgakVjkkb/Y9ddfL9ngC7TCCivETjvtFPPMM0/QbvBZRA64GLhOkkUIdCRSsEmF7+sXvvCFQM4+/elPl4MKza7BxkAkT0SLdoTkQ6q65pprglnasedMcOoifaTU4iYE22SGhBxxxBFB/Y/k6aDKRcoqC97wh3mQBubcc88NRFA+SCOii1y5BzsmRXkYCJETBJ7bBG0QUiZZ2MAKKVVvZA9ZI/Uzk4vD11W5kFoYm5DlTRMkDrKq/F42dfWMID5MvvjFL8aDEzRSNA7KwWVDW4pTD7RQCED9mro6p7VA3mgl+OTAUhomi3nnnVeUSYLnkHb95mc/+1kgyNxE9Bn3EPI99tgjCBZ/+ctfSi0HUqG8CKk+Bwf1JOHCFOk74YQTSuI/SWZdnGhXZmFCEkJLyja4wRAO+o3y6wPKSFiSp/Ih29ryS1/6Uikg0MAhySbLe++9tzT9MP/ow8oKf++NOEyOH/3oR0vTo7Zz3kUR8/J/ETCh/Pdw4g9zG2JpDBFGjRpV+r6bmOBqLNKfjAHIq8mFYEMzViWiTxdFUfpGV0JHdS9/WxcB7UlZQLhDMg455JAwdxjvjOVKrm2bjVeLLLJIUKB4j72r0jFXeEbQr6Rv7nLPtQytj4B5x9xgPjWOmzu888Z5pSe4brjhhuUaGVpxc+pll10WlBE4CY2oeZkipN5v9IeiKEqXxhjGjhaVmgAAEABJREFU/1qemHrhkQhtZDCnKSO5IodICO0VKVYnYe7XyLRhJm+dxXNIDP8OBIDU4pr4OggCagGDwUP6iNPICZo4kwzN1h/+8IcgyXzqU58qHZiROdIO87p8DTg6mDQFJAnpYmpGbnRcA5o0EUPkT3rINu2Kjmhyq3xLENUzzjgjEBeaGlpTpuxmk6X81BdRo+EpiqI0LcjLS+HlgBetKELtmnorr3swlEYVlFU8mNMs0lAyRSo/woT0wEr61TPqicjDSnuMHj261P6qH3JdxUNmDeLuI61IH8Jfj1PF7eoXSaeJJRCIYzAncCDW0u4KIwRBn5EnbShthnJsvvnmURRFEG6Qeu3m3sILL1wuXCAQIJ/qTTCQl/pqFxMTYmhSUZbJBbgjtXAi4NAww7coikBU9Svtoz2ZfCymIbiYCAle8tFHtY12Ux5CAU2NesHAc+qlHfVXBFw+7msjWj8+u5Mra3k//0xEQP/Rt2isva9u6N/77bdfIBs0Zd4p/dK7rb+YrMRrFkxe1TjU7H5eay0EiqIIYzWtJoGUn6g5hW++Mb5ZaREPRMUCXveRToKn42bB++t9bnYvr7UeApRM5nNKA3MLJRSLK4UOZYNxgOURvxDXOIzHGKOLogjtTUHTVc3MLV3dGw7XW56YNjYCqcPAj5BW90gdTGYWH7iGSBlIaP9M6q7RpCKRJnvn1OhIGO2Hc2HOOecszcyOq2DCcYxMMGnriDQkrhlsTPZ8j2jd+I+YqJiU3aedQipdpwWjTXS9HhARWhYaLmZaplgr0JE88YqiCPVBJJ13FxCq6r50i6IoTfjVNUS8Ou7uV1ka8+N6gNh39xxyXL9ff/EQM/hX9xE89fSCVte6+zVon3baacHPVDuJS/hQztlnn71cGe1as2CCQAoRyqIoArlA/JjLET3tqSz6SPz3nzY0+WhDQghTuUAoUQ5E9r9Re/QDe2TGZEZzioxutNFGpdCjjxGAaLoRSAMaLbXrCKj+bTJEQrlN0K42Zip95S2KojRB669IsL4TE/6pg2sTDvN/LxGgiSbs1t8v74I2pGlHTGnkCTGu9zL5jN5GCCAXBD0LXbxP3tNmxa8IK+tZs/t5rb0RoIAyHlDc7LnnnsEiSXg1p5gj1A4nwFVo2ClhjOG4AuLqvpChOQItT0w1Ik2m4iM+iCEyIbgmIHS2L6okUtIK4qGD0MiZQGjpEMvjjz++1FAx2Vpg5fmeBlKPzsdvxDPM18zVOumNN94YOh2tiTjuL7vssoFIM4m7Vic+7jcL/AQRJ8Syuu9cnarzdvxl0vKiVmSVJhBRpe2dXH1omJhKaWsJHFV8hM0x0qUPOG4W5IUwwLHZfVpl/akoiom3ETrtpe94riKFCCuBpFr0MPGByRxoP/7GtOxM9DT4+gZNKOJME4x065/cMQhOBBpuJkinYBBk4qcRnUx2ebufEPBO08bDvnonjUm0JA888EC5EIYvN+27SYllAGGp+mazYkzufrNn8lrrIFAURXDr8B4aOxpLZrzSb1hACM7uI7TGFMfNwuTuN3smrw0dAtqYIsD4XBRFIKnce1i+aDtxDy5VFGjWwNhKjmKEWZ81hUKsuzGit9xk6JAYmJxbnpianJFL+wDSItLmMa3ZnqMREp2juia+joM4MmkiL0ygTCwWH9C60ShV8Xvya2JCLJBHHQ2ZYF5FYJBUfn5cAKRFE0gDhmjQsFlQoezudRdMWjo9Sau7eO12j88r/0qO4sxhtNleTG0yubpoPyZ2BB+BnFz8xvuIpQnEgFC/h6wK+oZ7lQBUj0ObbZAh9Sozf2HmuWrCqced3DGtrP7DnQPJ5reMgOo/CLCyqGcVCDPqy9XAc7BCgpRpcnkNzf3OyZXQpN8hn3zWvftV7Qgm3nWTB0JB+8+UxzWD5rQoinIVP2GpbiVx7L3WfvpklV7+th8C3kvC6uwTrDX10rPQEVpo0c0NRfGWsFsURZiPzAHGouoZ/asoiiDoSrO6nr+tjQAhwzxtnFDSonjLsmnspghh6TJuGyMoJSjVrOBHVPkmm3Okgd8QdKUh6BvSZYl1PlxDSxNTRMEKSFo2vp/IAJOahiSZGOQ1HDOvBraK27mg4fnbXXLJJaXWEmll+jUpIBgGCFpUcXsTmF8tHKLBs7AB2UCYaLKcV2nRoHKQ5iuqA9K6KHd1v/qlMavq4RpNmsGKP6UO6prnqmPnXQV5dHVvqK8XRVH6ntI88dUymSNZkysXoYQZnnaClCk+/GkZHfckmDwMEFw9CDWeQTb5/kiLPy1XA+Y37eE+H0AEBHlEGgkXNObIhvaoBiRxexJMWHxWPUvA2nfffctt0vgk6TcEJn2Iy4T0CDYWxWlTeSMyXAFMXvX+Iq6gf/S2TJ7L8HYE4GixggV7rCxVDJMGqwysjTfGHXHdZ7GxyMwk5FybWuRCYHUu8NPW/gQb5xnaFwFjg7GDMFLVwrl5AamgtKius4w49v4iKJXFzTX9zFxFu+o8Q3sgwJ+UpZRCQ4m91/gKZQvroDHaHKWfVHMKjSnhpCiKclsp/cE6CWOJNDyD11S7qrjWNAyDi0NOTGmJSBZ1rE3StGpWsNFM0jwihAZ9UioCyu/ryiuvDJME7YUJm29ePR2+QF56G8lb9OIejR1NFAnVZO8aklKZmRES13QypIDkgyS4JlDdk4R1MISTJkUHUzY+q+IISK9rysltwK+0dUSDUeU/qPx1f0XkR1n5NhrkTI5WnCsj8xCSLv16cM8kWccRwSG5wUhcx14ULwk/WNdocJybMGHuGlcJWKi3c8fSQty8OOKrhxfSJC2OvD1v4ZZzbeqaYyTbr7LTVNMOWkRCUBCnSkOcxmAApymkpbR7gMUmghXqytQYv6tz7WTgh4W+YxcFTunypjknsBAImNJpybS39jKQGIC0I1O61fjuV+2ibnxDlUVdtIM8mpXDfWSUtCyeoM9Wmn3l46Ooz1blg7M4pHCDoIVL0idY6Z/aW19iPRBXm2gf7eS+tqzaURkNkvpdNRA2K2dei3JFrC22CEV8x/Q5fmS0ovq5d5swSjNG442cesf1/2oM4lNm5w9ChXvaiIsGH2J9LXFuHwSM0fzC7XJBSDUWGpuMD4QPNfG+sapYuOqePiPwSzf2iYOwbL/99mF3EOOIcdguMOY5CyvFydAeCFTvOeWT/mGetn0clx6cgzKEVcx6AHO2MZmbj3sWOxvXKUQIMCwy+pT7lDA+yCFeeyAxMKUcUmKKdNIe2Ybn/9m7E7jLp/oP4N+fvyTCIGtiyC4iWYoYsu9lJxpC9r2Q0qgoWbNlK1rIUhFSkgxly5qdlLGmEkJp7z/vn864c91n5plnnuXe537nNee5v+X8zvI53985n+/3fM/5sSaxZrKK6tR9McM0mcHYZ71cB4EGs+DAp78IAYLIKmowl5Y4JXhGR8BKV0ioKWUCwbohHhIiL1NwOh0dDV8xlhIWEqQIKS4DPAupAUcaCK80kGWLnGhLzgWdEGsbi5jyi8PaS6tWV50WwonEsQYjPZ5DohA4Zbc9kHjSopnzb1Rf8UpAcLwAXgwLu5BaX5lRfmSFXyOyQ9i9AMg2sofcGSARGXnreBFsOxsgz0i29JQbAWO9Q+pgYZsmdWDFRJT41rBEInvy0j6sk8rIUulZ9UGEtZlggJYfyxIlRNzGoN0pJOrFJxMOJWgLWmVj/EkdU0RYqdSRRio9lgvtqINQNoMOHAUWDyTeNYQUeUVQEQxl1wbkCMnjemGAIY/kx3SNFfE9lQc22ggR5W+EpCM6ZIQMIUM+KkCWdH4UH1g5t7sCXJRbGjox8bULxUN6Bkfyi1Ahw0g3yzSFzLM6Sf7XfnsqYzdf986TZ++Q97DInG3N4ML9R5trA/2Kd9T0nD1/tZd3QjztRibIkJkbckXWpVcs/+JlaH8E9BHeeT6D+h3vKgMFI4LxiLWMyxbC2UhKtTUZ8q6rJbnhb2is8k5TbsiQc+OKOBk6AwFyYDZXn+r9N95637lb4Rq4i48DMYBZF0FeGBSMQfiNWpplMZaSIeMsw8iRRx4Zo0aNcrurw5ASU43IeoMs0TpYdRA315AAAyrrpBe6sZU0qMGXFQJJ0SmwwFXVa/48jXERBZptuYaEGLwJj2uEgtaKIOpgkAvCgRCxhCgb4kYDEl8nhXjoVJwLBA0BNmg5F6SPWKkX8kAjRtaQM0QC6aNFyZOzdEmvqqp6031TgKyVppsRV5YXC6ukK/0SDHIIiHyQE4QKaWYdkzbiLQ14IbGIKFLCIlumrpVDp2p1ujSkRYMzoGoTOLhuBSorkTRdE8e2ScopL9YkebFuwlNenrfAyctrkEZCvaDaVjwDu+NSn/LLHxXxkq7yNQYW8mYcynM9/eookAflQdh1EKblxa+qqt7LVifB8sHySEaQP/fJn/ZFvlkpkXbWTxZJxzoeGMAENsVC4tkSDGx2XIA5+baVmc6MNVYclmQWOfLGkuu4yBMSbTpQ/q5TnqSjzShV2hrW3AXInA6ztDXZoDCwAMMQnnykdZTyzTAxAtoJOdWW8CpBu1CkKRGe8MvSRUa1i3fHO1zaUxzk1DXWMUqMttPO7g1RyGz7gIA+H6HUzvoHW/vpz0tbu4+s6iPJSZEZv+SIVaxk6xlKLsXeTBWLqv6l3M/fzkBAm5vtYlQznjB4UEy5CKpBVVX1h1oYhMiNcd/Yic9U1Ws8paqq+gM6FB5pGF+NJ/oNaXRzGFJi2s3Ad1Pdi/KAULGgIqoWgwkst4hdN+GRdU0EEoFEIBFIBBKB1gh0NjFtXae82mYIsOSxEHIl4J9pYRjfSBbE4lfZZkXO4iQCiUAikAgkAonAECCQxHQIQO+2LPlHml42RWG6g1+l3QpMe5siL1Pm3YZL1jcR6AQEsoyJQCKQCAwmAklMBxPtLs2LP6hPsfEtZT3lm2pRmQVJZQFZl0KT1U4EEoFEIBFIBBKBBgS6kJg21D4PE4FEIBFIBBKBRCARSATaBoEkpm3TFFmQRCARSASGCQJZjUQgEUgE+ohAEtM+ApePJQKJQCKQCCQCiUAikAj0LwJJTHuHZ8ZKBBKBRCARSAQSgUQgERhgBJKYDjDAmfzAI2D7Kbn4YpXfDIlAItCJCGSZE4FEIBGISGLa5lLgSz033XRT+LKIr8f0Z3F9HchXgc4999xeJ+sLQ75s5CtOvtLV6wcHMKKvbiiLvVKVbwCzapm0r7v4kotPEPrKT8tIeTERSAQSgUQgEUgEJovAkBLTb3/72zHnnHO2DL4t7TOaNmKfbC3aNEJ/FMu2SjahP+mkk8Ln8PojzZKGz+chmYhdudab30cffTR+8YtfxF/+8pfeRO+3OJdeemktK40J3nrrrTHffPOFz76NHDkyqqpqvD0ox88//3yceeaZ4dNyv//97wclz8xk4BCgDF5//fXh84Bzzz13rLXWWkE57ClHn6I8+uijQ3DcGI81f9SoUbHQQgvFMXEUGWMAABAASURBVMccE/bubbyfx52DwHXXXRc+RUomfKJ03LhxPRaeovqpT30qFl544bB3c2NEsmT7vMUWWyy+9rWvNd7K4w5F4Dvf+U7Y/rCnMfpPf/pT7LjjjuETpo1VtH3iCSecEPb6tr/3zTffHENhXGksUzscDykx9cKafvX9WPtZXnHFFTXBQHwOPfTQ+PnPfx6rrrpqHHbYYWHwjy78pyPccsstY/rpp+/32s8yyywB/5NPPrnXaVdVFXvvvXf86Ec/igUWWKDXz01tRNZiVlrfFJaWbw9vscUWsf7668f+++9f/2699dbxxBNPuD2oYY455gh5v+1tbxvUfDOzgUHgtttuC6Ri1llnDd85v/fee2OHHXaIa6+9tuWgIf4pp5xSK2plUPF79dVXx4c//OE4+OCDQ5xf/epX4dvZFMKBKXlXpjrgldaWv/zlL+P73/9+bLfddrHNNtvExRdfHEceeWS8+OKLE+X/t7/9rY6nX3ryySfjnHPOCQYYkSg8F154YWy22Wa1HCC65513Xq3Q/utf/xIlQwciYGzCUV566aXQxq2q8L3vfS/s492ouNrP+8ADD4yxY8fWXEefc/jhh0e3G+PgN6TEVAHe8pa31Fqo37e//e0uxcwzzxwbbrhh0EI22WSTOOuss+Kiiy6Kf/zjH/X9bvsz00wzRTeTHlqlThwOpe3nmWee+O53vxvbbrttmD7/+te/HojA/PPPX6LkbyLQJwTuuOOO+PKXvxxIxJVXXllbww0ojhGPxkRZ6g04zXJHgTrjjDNqhWWjjTaK2WefPUaPHh3klMLdmEYetzcCiCl3HaSBUn788cfHfvvtF/fdd99EBhOuUWeffXbstttutfXs9NNPj1HjreWldoiqZz/5yU8G69i8885bK/mf+cxngsyVePnbOQiwkH71q1+NxRdfvMdCU2xZyY1ZJRKZ0g+4zmJKFsjEyJEj49DxRjn9TYnbjb9DTkwnBfpcc80VPmWJlNEs+RGKT7ukZey11161Bsta8eyzz7oVtBDWqxJ0FjqCcr7rrrvW8ZCYj370o7V5/Wc/+1lcddVV9WCE/BpQtt9++3pAEpl17ogjjqgHGZYT8U888cT6XLoHHXRQ/Pa3v41x48ZNuCY9edOWmfA9h2AjWdJ8+eWXa7O+Ojz99NOh0yOgMf6m6T4m/5133rmuH+ukco2/9Yb/BPyZZ54JneANN9wQjseMGRMf+9jHggXafdMDfEn32GOPiSyKjz/+eK3RG4AlrLxwOfbYY4MWqLzqpzOFqzjSM0CbgipW7Iceeii+8IUv1NZXHezuu+9ed9ymszxTAmsmzVKajeFzn/tcidLy13Q9K9O73vWuCffJghdYeaVlGtVgUeRgQsSGAwSWVorMak+W+XIbvuoFN3KBQLz44ovldm0NoxyxlrD0kznTMxMi9OJAegiP/A855JBavsiyR+VPZkwHkRdyU2TFoMja5hl1ZSFmwSnP6vhYvVm/EXjtLI76aq9vfvObtcWPfMlHfhl6RmC99daLVVZZJaaddto6kgFj+eWXDzJXMHcDSfVurLnmmmFAca0E2HORWWGFFcqlWgH3FTTv1YSLedD2CEwzzTS15Xzuueeuy+qc+xA3NAaV+uL4Pz/5yU9qdw1jjL6oUZEef7t2fzJOcFNzLqy77rrhPadkO8/QOQjoS7/1rW/FyiuvHIv3QEwpqFx4jCtmhUvtjPHG6xlmmCHwHNfNilJkbrzxxtDfu9atoa2JqUaZe3xnwNcL4UF0DNLnn39+GGSRPdNkSJwBnfVC4y666KJx2WWX1dO7Og5E4KmnngoNbnCX7mqrrRZM7zPOOGNNOhBgRA7hnG222WqrLRIl3xEjRgRr7jXXXFNP5fEPkqaByjOm21lMdFbrrLNOICDLLLNMGLRM9+ik1lhjjUDAEA4ki+8oTdnCI8KN7CItpgIQxVNPPTVYWPbcc8962qgnwgUPJIrw6xiRUi8J0ggfpPQHP/hBGCAd6whj/D++kMqOwND8x18KZN8CHuUxVWWq/z3veU9dD9OY4vz0pz8NpMy0lpcLOeNfqew6V755XlQ+qAi+ZwT4I/teRFPyfqWhbffdd19RegwsUizo2rJEMs268cYbB6VDnWGMnJtWL3Eaf5Vfe26++ea1EnD33XfX1lb40U61lXpbZFaIKaXBfWSEny+Z+/SnP11P5ZET7aS9GvOZ1LE2QmYQf9qzdinpmx0gA/AnK8rqmvRZWkz5eBf4sVIoEGvXH3zwwYAzefF7++23B/nUDvIj1+RxqaWWqtuNrEyqjHkvan/QRhyqqoo3v/nNAUP9S7mnP9AmZLhcK7/kXfvoB8o1AxNi6t0fbP/sUob8fQ2BKf37pje9acIj+m/vl36ikAr94CWXXFKPD/oj48qEB/53QIFnYaPk/O9SGFsoj6Zv9Q3lev62PwLGELKwwQYb9FhYYyU5wQ0aIzECMYwsssgiExRg9425FB+uP867NUzT7hXXkXv5DeAsl8igAZhVCQFCnJAJA7KOwQCCALmOnFVVFcstt1yYTkNApKXO0jVQ8PlCcMRBfJG5rbbaql4Fj6AafBAi+SG8jz32WOikDEhIirR0LKwrAkE94IAD6gU5iN+KK64YOiJE1nQe8uj5tddeu7ageN59VlF1oGEhH0gR8sxywzJYVZWobwjylPaCCy4YBkPWGFY9VjP1s7hJHZVfoLGz5sDBtBRyWRL1ggk6yFHjp6BY51iDkXJWOSTJQhAWJe3hOXWCGULIBQOBGj16dEgHGRRHoCiwmCLjFgSwqvJRVWedszjNgUYKY2QS8W+8r/0oFny5pptuuvrlFsf1xniODRqshmSAXCDuntMJuP/AAw8Ekqjs7rGAsXpQeFyHEfLO33CJJZao/Z5HjceHRUzbS2NyQbsi62RNJ6V9yK/nyLUpHf5rCKv6Kh/CT2aVn1WdpYXcIeFklSKmPLRxabAoay/yT4aVX1sh/uTJYgvKgzwz9B4BJFK/An/vrie9R6zWZN9A4loJ2kz7eF9ayaP3S3uW+PnbGQggExRz7mWUwyWXXLImokrv3MyO/p4CS1b0yRRIFlHKoTj6C322ZxqDGTR9ROO1PG5fBHALygkjAiNLc0m1M4uocdE43nyfTFBUWvUP4hpv/XZraHti2twwrH4adeTIkRNusWSwCPL1cBHhQfZY/QwSrr3jHe8Ilq9iMaKhsiwVciIO4snXw3EJLKaOCzklMMXMjohxM2D5M9gYwFgdWVA9s9NOOwWS4DoNSOfjemMw0CGpyBnCwjpoENTpiVdVVejg5OO8dXjtKhL72lEEsmbAREzKNS9JOZ7UL2skvBrjcBGAe+O15mOL2BqvwaqcI1GNU1sIGOLseonT/IvYaz8kt/meczgpJwUC6XKtVUCIkfFll122XrVvYEAMDTI6BqRQWo34GFislGTddU8bbbrpprWfM9lhDWuVV0/X1JV8IZXILiwRUO1P2WFFo0SQ4fPOO692DSF7BjRYccVQV4SILDXnQz6QVG2uTix73oOCC+zJcPNzeT55BLhYsHxSTMT2rpMd77l3xbUMwx8BygRXGe8YtxmzWaxeak551M9QuhkAuBgxUJjJMJskTobhg4DZLe8+Y0CrWpEHPqRrjJ8pNX60ipPXekag7YkpzcMgrgp8euxVaeBFLlwTWO1YAJEP5wZglj2dBoscIUHUTLkhps4RAeRD/N4Gq+N1SoiFZwxOpucRMFY3GpJdBBBW95GfqqqC+wCSUayM7vUUxo4dW1tkG4VZ2dWpp2c64TpSxdpdiCjLMotSK21SfVicKAB8b523CiybrusgkEjHrQL5QfDg2Oq+vMiTti33KSiUFiTUc1wJyJ1tYlhGKDklbm9+tZ/peUoUC6ZBjdZdVVWwpLiPGCPZZJnFlqsAbVxZWHsNckgrS3Fv8sw4U4+A9/aRRx6pfbbLO2kKj8+1d51MNOdC2aBMNF8v52RtUvdLvPxtLwQWGT/tSlG10t5WhsYXBEUp9e36NNZUM0zeWwSVgeG0006rFVrjlLitgviTut/qmbw2NAhQShgzNttss9oA1KoUFBMGpWIYaI6jL5lUH0DBaX6mm87bnpiyTpgyY23ij+HlRzKQy9JQBgINrUMo10y1GuRNbSMeBn7TxyxOLJwsSAb8Er83v4iD6Va+qqb45ceKhqSYpuUTiFCUtCxIoTWbakVSlafc6+mXdbWne518nW+rl43lj5+VFxfhQ9Ba1cv2Gvw4Ta2bvhb4kIrrmJ+m494GC9Pk2yq+9kOYEdhyn8WRXLE6us83mL8wJUN7kscSt7e/6m+aj5woC5cLnRxCjOCQWe4TjQE55qKBzBq4uBtwB+htnhmv7wiwkFE+kZDGd5cc8AXWH5FFsnD55ZfX2/6QF8qz66zkCGwpgT6LLImj/ynX87ezEDBuICUrrbTShMWk+gpjkN9SG7NgXMT0K/p1z4nj3S9xrB2oqioo7shpuZ6/7YsAYxR3QtZS77lgNwYzfGatKCu4Blc57eo+Fw+KjLHDOT5ihpR7CONbqS3jDSVHOuVaN/62NTHlY2gQZ91ECFmSTE3r4PlnsLhpNI1rmpxVybmgU/AMgoNI2uCaFRW5RBiRomLZFL+3YfTo0fXqe4TX1DUnd/6AFsew6Op4pMVSi4QgMjon+bneKpR6uMcKY0Dk01iuE1zB/UmFEn9ScRruDeqhtvOiIvNWOWtTmCGArQqinU866aRgoSihuCo4Z/1u9Vyra9rci86/kr+oOAgCHyFypDysloJ7AqskpYgMuW6K3TELSE9l9lxPQX5IimdNAZNBmPCLXnrppWv/YOXhuiANnRO/Y4oYK79yf+hDH6oXS1TVG/2NtX1vZETaGSaNABy1OeWT4oRgekI/ox1cozSRQ4HfNEv4qFGj6r0ttSuFiqxQWON//yjF2pMl7X+X8qdDEUBAjR9cxlQBAdHPN7a3d9IYRiFlPeNTjpw2+t6baWNBT2UTip0R+JVb1OTdL0HbIqpm+LS1sYvxpNzn+8+wYAxxjWLKNcisIKVFzcmL2Vf3eppJFK8bwpATUx01i1Aj2AZn2oUpEMSOZYmvpkEdGeRziHB6qTUmv1PE1DRrYzqecc4axqrhmI+fPHUWOhfXdB4GHIRXOq4ZhJADBEV81wQDEMEzWNF4pMGPBJlEpsQRDG5++QOOGzeu/nKMtJSFLxJHd0RFHiy64gr8DquqCtO2yC3fTotsCC9XBdO/4jWGUn4DX7kuPjJk2yfXHNPUlUversnfuYUzMHeNxoaQKatzx9KCjzTEZwFQjhLHPc9b6e8ZeMHPMUz98s2y3ZJB2UIkC7ooDyUNcRqDRUq0y8ag7cVxzX3HvQnaiczYzcG2VjRb210hfuSCr7GOhdarHeFpkZo2ZqlUZ4ElTHuY3teG6kYG4aO+niO3rcrEMmIRmjTEY4FTf7JksOKWwBJnFb1tq5TPlLF8BW3EuqqbqJtlAAAQAElEQVQ9+S7Jz3ujHNrRLIJ2FVc7ua8tC77KqC3FcdyqjHntNQT4/NrRwLvKPccisssuu6zeCcQ9JIIMlmCg4kpCPimupuj0L95l/RSSq33M1CAyXIJeyyn/dgIC+mjvpFke7egd0zfrV/Qd6uCYYcS6BjtleAfN9N155531FlLi6LNYWim5+hHyZSbGc2aUxMnQ/gjYeae8++WXcUFfbitBv+V6+TULxuWMQcU1M2T4grjGJWOocQVRNU4gp+2PxMCVcEiJKZM3osJnEyGwctgKc1qF/Sb58nEct0eljh4MpjuQGtNhSCZB8LztopBGcUow1ebLK74QhEC6zgeIxYp24xxJMEWMiBj07R1KUBAYRAuxZLpH6sRHjg1EBMw0a1VVwTpiCp9VThzBsWl+VkGEA0lwDXnUYSHdNGdkwZZXrnmOlYVg6rhMB7DMIBLKq7Mj0OKVgBByF2D5s3DK1hQIDa0McVIP6bE8m36QhnuscPDTySJqzu1uwKqojKbcTWOqK2KtrZAmaelMWXTFQcxoiQhPyQvB0ybK6HmKgzqoo4FbUE73tB/CLe5ABQSTfFBUWCptkaUTIHum0RFDdSAjykUGWNnJGevX3HPPHciIOmkrA4qBSLkRFXJjuhd5JK8saK3qoo3INfnWZiy1CDNN2rZXBicYKp82NGApE/9W5fSsAVJ5WerhacGUnQsQUM8iP4i/NrJAS120r+2w+EsaNLkDqEOrMnb7Ne+pfsh7CzNyI3i/9QVIZ28wMnNiADJLo629y9517w+lpDdpZJz2QIDxwwI47lj6EO+b957BRN+glMYlMoJseJf1bcYV7Y7IiOOdZWhhKdN3UnrN5rCuGUvEydA9CJjFHTNmTP2lJ+Og3XhwFTuqdA8KrWs6pMSUtomgITkGbdvjIGKueakRHIOC6d9SfAM0ywSLIiImPn8vHUKr6XLp6AjK8wgtASgaiYF/p512CiSY9Um6yCtTPYKGeBlYSseBGCLPrB7KIl0ChjQ0DlrIECKHtBx33HH1l6yUtxAO5AM5YvWyl6lVv9KSPksLUqgzlK4pcN+J19mVcogrqLMFMayuBk7ECAFGUFhqTA+zJNPUkUuEF/H2AphqQKZY8XS4Ok1kh2VOHASedg8HFgJETecsTdeQHwqDRTryYoGUl5fMlJa0EV5TXAIckXx4ay9T81VV1Zvzq8vkAsInzcnFa3VfOdVXeyDK3CzgJK6pNAvhlFWdEBLlLOXTlgYblmvEFpYGE+RVPaTDUmKwUm9tK93GQDa0k0DGPA9vVtOqek25kTYFjWO9slJGquq17c5YnBFMZIfsaScDpHZjlYMLP0fkVtuK7xrZYo01EGpnMk4xQYYby5fHryHAqqGNyAnrhTYXTLEh/NrrtZiv/zWlq++yuA0hLXdgTNlzT9tSHCie5X7+dgYCxgj9qn7DTAbFjnLt/dRfl1pw5dJf60e838YZiq4+usSh6Opb9KvGGMTENnflfv52JgI4CPc+/UerGmhjM10MEeU+2SkcCOchL74aZrwpcbr1d0iJKQdgGmerYPsb5FHjNTcOQkj79JILyFqreJ7TyI33PCtd94SqqsLzpQzSc58mW66xcHhOfEFH0zgASV9dGuOIR4uWhgFK52YA03mxuhrg3BPKNc8I0iPg7vkt8eXrfmOoqirEK0H5la2c+5WGOjkW5KcsjXV0DnP3SyjlL+fqIa1y7leZ/JbgvrTKuV/TFAZ1pAnpZ6n1IgtILct2Y516Oi516On+pK5XVRXqo+4C+amq1301tV1JH4aOXStpal/PwUydPV+Ota16lgCn8lz51abkzDPi+Z1++unL7XobK+WTt3ykX1Wvlc+zZNC9Is/aShnFk14J7jfjL452KXE8K80JmefBBATgAueCVeOv9quq19pkwgPjD6qqCu8z7Ktq4vtkRVs3t+n4x/J/ByGgbYtceL+9u1U1cVurjuvaW1zvHKXX9cagfyYP4ulXGu/97zh/OgwBfbE+oHHMaKyCfkW/Sz4ar1dVFZ7Vz+jjjSWN97v1eEiJabeC3m315hLBV880NCsUKzHLHauf6XHT5N2GSdY3EUgEEoFEIBFIBN6IQBLTN2KSV/oZgfnmmy+4IXABMAXmmE+nlfmm2H0coZ+zzOQSgUQgEUgEEoFEoAMRSGLagY3WaUU2DYaMmrbnN8vXlo+nxQKN/r+dVq8sbyKQCCQC7YJAliMRGC4I9JmY2v7GgpsMD0diMHkMLCYxpW/1uGC7KdP5id3ksWs3jOzSYJeKditXlqfzZCnbLNssZWD4y4DF0lNCmvtMTK0Itk1ShsUjMRgIDDLNdpUrC9jsXtCu5cty5buTMpAykDLQPjKw9tprTwkvjT4TU9OwpmQzXBCJQWKQMpAykDKQMtBxMnBBtlm22cDLgO3TpoSZ9pmYrrTSSmE/zwzbJg7bJgb5HqQMpAykDKQMpAykDLxRBqZ0550+E9MpYb8ZNxEYJAQym0QgEUgEEoFEIBHoYASSmHZw42XRE4FEIBFIBBKBwUUgc0sEBhaBJKYDi2+mnggkAolAIpAIJAKJQCLQSwSSmPYSqIw2fBHImiUCiUAikAgkAolAeyCQxLQ92iFLkQgkAolAIpAIDFcEsl6JQK8RSGLaa6gyYiKQCCQCiUAikAgkAonAQCKQxHQg0c20hy8CWbNEIBFIBBKBRCAR6HcEkpj2O6SZYCKQCCQCiUAikAhMLQL5fHcikMS0O9s9a50IJAKJQCKQCCQCiUDbIZDEtO2aJAs0fBHImiUCiUAikAgkAonApBBIYjopdPJeIpAIJAKJQCKQCHQOAlnSjkcgiWnHN2FWIBFIBBKBRCARSAQSgeGBQBLT4dGOWYvhi0DWLBFIBBKBRCAR6BoEkph2TVNnRROBRCARSAQSgUTgjQjklXZCIIlpO7VGliURSAQSgUQgEUgEEoEuRiCJaRc3flZ9+CKQNUsEEoFEIBFIBDoRgSSmndhqWeZEIBFIBBKBRCARGEoEMu8BQiCJ6QABm8kmAolAIpAIJAKJQCKQCEwZAklMpwyvjJ0IDF8EsmaJQCKQCCQCicAQI5DEdIgbILNPBBKBRCARSAQSge5AIGs5eQSSmE4eo4yRCCQCiUAikAgkAolAIjAICCQxHQSQM4tEYPgikDVLBBKBRCARSAT6D4Ekpv2HZaaUCCQCiUAikAgkAolA/yLQZaklMe2yBs/qJgKJQCKQCCQCiUAi0K4IJDFt15bJciUCwxeBrFkikAgkAolAItASgSSmLWHJi4lAIpAIJAKJQCKQCHQqAp1b7iSmndt2WfJEIBFIBBKBRCARSASGFQJJTIdVc2ZlEoHhi0DWLBFIBBKBRGD4I5DEdPi3cdYwEUgEEoFEIBFIBBKBySHQFveTmLZFM2QhEoFEIBFIBBKBRCARSASSmKYMJAKJwPBFIGuWCCQCiUAi0FEIJDHtqObKwiYCiUAikAgkAolAItA+CPR3SZKY9jeimV4ikAgkAolAIpAIJAKJQJ8QSGLaJ9jyoUQgERi+CGTNEoFEIBFIBIYKgSSmQ4V85psIJAKJQCKQCCQCiUA3IjCJOicxnQQ4eSsRSAQSgUQgEUgEEoFEYPAQSGI6eFhnTolAIjB8EciaJQKJQCKQCPQDAklM+wHETCIRSAQSgUQgEUgEEoFEYOoR6JmYTn3amUIikAgkAolAIpAIJAKJQCLQawSSmPYaqoyYCCQCiUD/IpCpJQKJQCKQCEyMQBLTifHIs0QgEUgEEoFEIBFIBBKBIUKgn4npENUis00EEoFEIBFIBBKBRCAR6HgEkph2fBNmBRKBRKCrEMjKJgKJQCIwjBFIYjqMGzerlggkAolAIpAIJAKJQCch0A7EtJPwyrImAolAIpAIJAKJQCKQCAwQAklMBwjYTDYRSAQSgfZBIEuSCCQCiUBnIJDEtDPaKUuZCCQCiUAikAgkAonAsEegY4npsG+ZrGAikAgkAolAIpAIJAJdhkAS0y5r8KxuIpAIJAK9RCCjJQKJQCIw6AgkMR10yDPDRCARSAQSgUQgEUgEEoFWCHQXMW2FQF6bCIH//ve/0VOYKGLDye9///v4zne+E9/73vcarr5++Ic//GGS91+POemjUq5Jx3rt7pTEfe2J3v099dRT4+KLL+5d5P/F+s9//hM/+tGP4tvf/nb8+9///t/VKf95/PHH42tf+1qN5ZQ//foTf/vb3+Kaa64Jdfn73//++o3/HTXed/y/y/32A4977703Pv/5z8fuu+8eF110UbQqR79lOIUJ/fnPf46vfOUr8eCDD07hkxldX3DJJZfEKaecEnAcroh4j7///e/XstubOv71r3+Nr3/963H99df3JnrGSQS6GoEkpl3d/K9X/rbbbos11lgjllhiiTosvvjiIZTz9dZbLx599NHXH/jfEQL49NNP1x30dddd97+rE/+88sor8cMf/jB+9rOfTXyjl2f/+te/4uSTT453vetdddnWWmutuOOOO1o+rTxf/OIXY+WVV47VV189zjrrrPj1r389Ufzf/va38cwzz7R8vvkiQtl47Sc/+UnccsstjZdaHv/mN7+JP/7xj/U9ROxXv/pV/OIXvwjH9cU+/Hn55Zfj9NNPj5tuuqnHp7XF5AjVCy+8ED/+8Y/jm9/8Zvzzn/98Q1oGXXkgGK3uv+GBKbygjGeccUYtbwsttFB8+ctfjnvuuWcKU+m/6EhDY/7O4dNbGem/knR+ShSMm2++OS699NL4y1/+0i8Vuvrqq/slnf5MxHusz1TX3qT7j3/8I8aOHZvKTm/Ayjhdj0AS064XgdcAePXVV2OHHXaIhx56KHS2K664YiCAzm+99dbYaKONXovY9Leqqlh66aVj4YUX7pF0IR+Czrzp8V6dPvbYY/H888/X1rV99923/l1yySVbPnvAAQfUVgnWDGQYydp8881D/Tzg98wzz2xJyNwvAcF95JFHaqtiueb38ssvjxNOOMFhjwGB/MEPfhDjxo2r40w77bRx6KGHBjL2pje9qb7Wlz+I+fzzz9/jowY/VkjkoMdI42/MM888scIKK8RMM800/uyN/2ecccZYdtll4y1vecsbb/bDFVaj3/3ud7Xi88lPfrJWGpSnH5LuUxIUlfPPP3/Cs/ChkHzwgx+ccC0PeocA+Zx55pl77At6l8rrsbxLn/jEJ16/0CZH3mMK8EknndSrEo0YMaJWBHcfP0PQqwcyUiLQxQgkMZ1s43dHhDnnnDM+9KEPtazsLLPMEptuumnMMMMMtdXvggsuqC0iTzzxRB1fJ11IzLhx4+qp7p/+9Kfx4osv1vdb/UEQf/nLX4a0EMhnn322VbT6mmlnVlMW3Y997GOxxRZb9EiaTCGqx9vf/vaaeO2xxx71lLGE/vSnP9UE8cILLwzE8eGHH3Y57rzzzvjud79bl/vuu++ur7mHBD/11FP1PeTF86wkjdZaljZ1QFjvRoN0HQAAEABJREFUu+++2g3i7LPPri21LD2sxCzGLKbSLuTcFLlrXCCQaLiVeyzTl112WY3Nz3/+88mSaAWWB+J77rnn1m4DrLMIqnpIy3T5jTfeOMGV4M1vfnNoN9Ot7sPjySefrMsvveaA4CPq0mFJZYUu5W2OK19ty+VBuqzHJY66ssbKi+sH62m5V37lJX1WN9iWAHduIRQluFOg4I6QF3kqbSvPko7ntYW6asPG8wceeKBWdJTXddZScq2MRSa1Bys5CyoMYXD//fdPIF/yUR64SKMEaTdjpKzeDeVklVV/ZZee+pEDmF1xxRWBvFOQpOG6ukqbTDVaI7U9a5w0vSvqWbCEl/S0BTlvZQGXpgBzz1177bW17JVzsg9rZfUrH/VVb/GVj2xoW7LknXG9BJiaTZGHX/LhfS51Uhftc9ddd4Xr5Tl477PPPqEtPXvllVdGwfiGG26o31vXBfWGI0y9U1xFpGN2gJKhzOrVU58EM23sHVV+sie+snNPcK5NyI90X3rppVBe77Bzz5MZWMFJfO2sbu57rtx3rl2k/9xzzwU50f/AFjbuw/Txxx+v+1n1K0G93W8O6ksuYaSPKvelT27c897od8o9MzrKKO0yEwQv+LmmjcUlW43nrjEUaDPX9TXkClbKoY3LfTg49oxAVr1DntMuyue64Fj7uSdN7em6NiNXMLrqqqsm9GHuZRieCCQxHZ7tOsW1Wnz81P2ss87a43MsIaxKp512Wj0NrvM68sgjJ4pvQNdx6MhYCPlDThThfyc6Xx2WAZZFxJQyK6RO8X9RJvoxaBsUdt111zj88MNDpz5RhIaTD3/4w/Gtb30rdGQ6SrdYfll0DaQItF8DBpJw++2312kqO0se4mtwqaoqkDcDpc5UWgbSww47rPYVlS4ievzxxwcCo7M1MEubhfT//u//wjM6VwMVsiq4L19x+Zwa4AwcY8aMCfEMYAcffHA96CIG6gxP+U0qIDCIpjjyNQB5/uMf/3htBYehsiM/4ggGU3kbyI499thw33PuNQaDpPohN9pIu33qU59q6drhOYOguAYkgy9yAWf34K794erYr+uNgZWe5deAjfDAAOFWNiTxkEMOCXJoEBMP/gYtMmUQ044ssYiYvBCCI444osYX/o3nBtS3vvWtNfnXzgI8PvOZz4T2haX0tIkywI98feELX6jbXblhw3pGPqS90047BYIgbfcbA4JENrWz9pceAvaNb3yjlkN1QJI/+9nP1i4O3g8yop6IC7KiLNKQrvIdc8wxgVggVN4PZXFPebxXZBsW2gw5ca8xICjqi6S4rt3gVcieOpmJ4CMJG+8+eVVu8bWRc7/aTllcF8i/8qmnmY9Pf/rTYcbCdX0F+RT/8vEzEdrQdc8JZIMy7Fi7kD047bzzziEt2EjLORkgp3AlH+qE2MON7COX4ionuZNmCd4d5JdLifiUOYqTclP2rr/++toth0+2MorvPiVYeZx7144++uh6hkW9kDPl0Gbuk2Xt4n1wrj1KH0l+kLT99tsv9D0x/p+2UxbkVz0OPPDA0H94Z8ffnui/snh/9YvycyyC/sR7ov1hoO7eXffgoT7IOGz1wSzT4jr/3Oc+N2HNgDZRFnX3LPy4VnEZgtVee+1VKwyw55tNdoockzkYek57nXjiiYHQKutXv/rV2kXLO4mUeh+UU93JsT7SvYMOOqh29SHfMGz1Xkk/w/BBYJrhU5WsyUAjgCDx3dx///1j++23D51sY56srttss03o0N03zaUzaYzjWMejQ9tqq61it912C4MT4qlzd785HDmeACNQH/3oR+vpMB0sktIcz7nBh2/p3nvvHR/5yEfCQGpwm3vuuUP5Nt5445h99tlju+22q10QWDwMgMiTzpCVAIlabLHFYqmllop3vOMdMXr06PrYVDrCKR/BIIy8sqwa2E1HV1UV66yzTv0ckrzhhhvGggsuGHPNNVeUMhvQDRAsu+qPeLE06NgNsAZ4g62By7Sojlx+kwqm5dUbOeW6gIzLRxmRCp379NNPP5Gfryn7DTbYIAweBhODoHZozgcxMuCtttpqdXsZwJQVkTFwNMY3GBrglUHdEDgDm8HJwMRdZI011qgx2XHHHWOBBRZofLw+Rmo9w9qtbGTJVCh/5/e85z21pdK5ehm8tB9LmrYlS4hbVVW1gsKFRDp1wuP/kIE999xz/NFr/9/97neHQDFTXrKx3HLLxTTTvNY1at+VVlopYPC+970vKC4GaUQGUZKKwXaOOeaI/ce/F1/60pdi2WWXDe0m3ZKOeAKSM2rUqFAmMjPbbLPVsrLIIosEwrLJJpvU7aHtWToLOUZYtt1229COygd76XkHBURc/vBBit1DpN/73vfW75f0RoyfTkZG3GsMu+yySyy//PITLpGJcq7+q666aiD83HvU/7jjjqutmGTAQ6anlUl7KMPaa6/tch0QNPHEITfrr79+wEh6pe3VnZx4nkzWD47/QxmW53TTTVfLHTnwLEznm2+++MAHPhD6Bu/kMsssE55ddNFFa4JPVhEpbYQ46Q+8U/oRMzTjk5/wv6qqMMPi3dH+73//++v2IW/6pHXXXbdud+8/pauqqtp1iSJPyayqqm5DCo7nyb72IHvaraqqUEfvqPelqqoYOXJkPQPlV5+JeMJaeckBpYCCQJ4RVvIi/dIuEwo//gCZRNbINeXSuz/+cm1thRO5hj3lXP/oHuUKyYWL+2QLAXZPf7TKKqs4rIM2azyHIeVb2eQHa77vrpld08+ZYVMnfSHrp4QoON4b9dHfSpOipL7uUbLUwfs7avw74p1GYClz+gplJSPykV6G4YvANMO3akNas2GZuQ7J4MBiwlLYTDoRHwOtDtjgpCNl4WkGA3kxuOmYdJzIioEfkWqO6/xtb3tbTWAMbvI2vY28udcc5G+wEg8RUg4dqMGxOa5zAy0iZHA3gBk4dPLuNYaqqmoLqkGyXOdby9qBqOjU+SQaJMv98usZoZzrbFn+kOWqqgIOLEoIDTLsGEHVsbO0sPqVZ6fk16BgYES+kW6EuzEtHbyB1ICOdCHhrCDNeRgs4bnlllvWAzBCQLFQD3g1xkcU4WcQRCAQNAOvemj3xrg9HbNqG/ANcMroXBkN3GSMooFIIFrKbHBjxXGtqqpaCVBGJBDBbcRens3nrpWg/eTn1zW/8pM3Uqsc8iWr2lwc92BUVVUon+fJrHvNga82eWEdkg4SpDyeg1VpDwTTu8EaNu+88wYrnLajlBmwYSxtltMFxys+0oIVBQCZZTE0LU2m3SdX3hvEwHPNASkr16qqqt08nGvDVvXX9spG8WH9Q17hoB7axLOCPkNdKXrKwUoGQ9iJW1VVvagRyYOZ/DzXKriHHHqnySNCIy0EEmEkiyx1W2+9da1IIDsIofbQjhQ3xMmzzemrvzjKJL5zxzD1jHuukSfPqqt2cyw4Flcd9EHK5XnvnvuO3XcslHNtrL8UXxolvvQRNe+BvLUB+XDd842BUuXdQu61O4s90qldWG3hLo53U5t5Vr+F5JIb5/pqvyUoSzn2q+5+BaSWJd47/s53vjOkq20oG8pHhuGgToKZDc/p16QjT3VSNko3XBBxll5pKu8555xTrwvQh+uj9f3kV58mvvQyDF8Ephm+Vcua9ScCOn2DIM0dyfPbOAA156VD0gn11IkYoFkndaiCAY6lpjmd5nPkT2eIiDTfc65jlydiUgZFHZoBuwzm4pUgX9YNgxhrjGfLvcn9GmxZhAws0jDVBqfJPec+0tVYHsTcoGdKyzQuKwErhvqK35dAcWBxVC4WYtbuntIx8BkstVmrOAY2g4i2ElhpWMda4cWCaTqwpCNtA5dQrk3qlyXd4H7eeefV22PJCykmUz09ZxCHn/sGPXn6dT7QgTUKabQDhKlTefODbpUvK7l6IY0sR8Wa1ByXTAmuI72mME0br7nmmsFC73oJ7pdjvwZzwTGrofYqodlaKM7UBLhXVVUrbT2lQzEs+fs1O0Ceeoo/uessZ8j3XXfdFRRU08d8L1mR9UmIT0nD+1SOEU7y2pOMl3hD/VtVVb3wVF34WyLS+jWzL411K+VEBLlZIYUs6lwMyrtAJmFeAgLoObj0tq8SvzmYYSlp+kU+Wbib4zWfF7ks1yk4FAxtI03EWXoCH3RWdW4D2twMgHdNf1Cez9/hicA0w7NaWav+RkBHZoredClCQtOfVB46GIMADbg5Hs1f52Jw1im5r+Pl9+S4XHPcHBAenXNPnSAtvHTKOjsE2FQUn7RyvTFNll8k8dBDDw1Es/He5I4NjvKAB7LAT4slcXLPeYZ1gQWBX5xgsGZFQv508qZ5WaF6S+Za5cl6xDLCOs0yZ+BqFc812CM4pp+dNwblRUDGjh1b+2K6xxLL6tvcVjBEsrWteALSxtrIKlbO/fYUpMlqYirUMWsvS0lP8U2HsmCadhUfnvI0rVssPwZhhFka6uK3v0JVVcHCOWLEiHoKH96s363SpySZ9mY1NU1NoWkVz/tGLuHAxQL2ZKxM05ZnYARrSp5r6m9AR465F7BQUuJcRwq4kIjXKsAMduKy1LWK03wNeRaXNb75nnMEFDkmK84FrgZT0wZmGORr+lj68GTxQ2DIuTwoMWSO1Vz9XVM/csA1w3k7B+VkHUbM9HkshpSaVsoWbPUTpsBNrVNG9Sfch1irPa9N4UD+1Fsf7DmYOG8VtKtyeNZxiUO2uZlQfF1zn4I+qbTEI4+suJQJ59Ik12ROW1EsvMfukQ8yrS9xXT/uvXLORUycDMMXgSSmbdS27VIU00E6LWROp6NcOigdCeKlc7BAw0DHUqEDEceUKgukaWjWndGjR9f+nDpEA+24ceNqPzoWTwSGzygne9YgmrzBRH6se3zhEAlTdHyePEu7tniCH5ItfeTZHHR0BnvxpYX86dj4fxq85KGjVjfT1uqClLECi6eTRDgNtAZ3x7R38T2HUDtHctUVgfSsgdKznjF4SFcnayAQF6aeFQepZ71EuEyJ8VE0gCI2OmSERF2VQb6ekw4MEX4DgjSb687i6ZoFBFwoEF11kzfir9yuIaxVVYU42k+erHhIKX8xbe05+fJzY700DWpg4I/IIsNXDZbqKs8SxFM31g3Py5PlmgWRZUebIN+IOfkpzzX+GrxMF1oQwkcYueZqoZymKE1HwwbGnkNOEBJ1kJ+295w8tTkLmTYyHS5N5YGvOGRaPWCrrZVZXL9w017ycyzITxk8VwZiRIvFyuDM8s4fV3uJI35jYAET3EP4yUu5ry087x7LpmlodXOuHWCmbeGjfcRXR7LgnUDMkFdywE2Ej7NyrLfeevUHA9xjhYumf9qQ0uAdlCbC5x2Wl34A4YeJax5trD+lgGWfPJBhyo228a6Qr80226xeaW963VQzKzH5RUTIIlk3FSzdVgE+5BH5pgyZZaBgmV2Rl/o457esHblzSMc12Ci390tcCh954FMpTmPQlme9Eg8AABAASURBVPopMkZGld+z3j/n8lVWMqsdmu97Th76R/GVWbtpG+fS1obeX/l6nsyJ71xfJ750nKurPpC8klOWdUqF59xvDHA020OmEU5l1Z4Uci40o0aNqtsfcYWLZyl6FqeyqOojyZvrJXhXySKZYJHWZuRAnwk/7wS3Lv2Xc3Ujd94/pBhO0irlda5vgL8ZEX2ImSF1rqrX/PI9yz+XLFHcyJ6+h+KvD5A+WdXO0s4wfBFIYjp827ZPNdNR6MgMKgYDGjsCxs/NNBHCYYBj7eG3hoxaeDB69OjQEZpqtFiAZccUnk7ZVBQ3AOTIQKLTNEhZ6KETQgg8rxNSaJbWqqoc1v5nOk7pInKc3+XNQlBHaPrDv1SHyT9T2U0BIbOc5z1D2x81vqM2WCEGOkcDhHgsDAZxnTCLLN9XZWVN1RkiyMiJQYLW7p7OmsUGYWOtkCfiadpN54qwsmAhIwZ6ZNxzyqmjVg6DEz8q9TdljbTDw8CoDAYrz6gTsgtzxwbIxuqznhl8LD7SqXO3QG509jp97UKJ0F5cHSxAUDeWGYOZMimv8owZMyakz/fUucFH2sgHZcHiBr59jfk7NvBRSsiLPJAj2FA24I/8wo9MsXzB3nONgZUd/gZkA6ZBF258K6VpkKdEGFSVGzZIM4uM8iJK8iVfVVUFkgYL1kMDHFngH4xUGegMlLCWvjQM2upO3hEDeXsvyBUSihSRUfKAaCDiZAk2ykve1BlRbayXY21Edrw7Fpqpg+sCZcvKboobQmRqE9GAE8WKjCDdFvEgMnwfyQrCNf3009ertllu+fRKTzmRG6QLafcOWQzlXmPwLL9ExEob8+HkQqKsCDCZRNDlz/pJedHO+gEEBZEly3BirYOHd5Qsed8pIt4JfQfCg2h4pxEeecsTzo1lKsfeR23qXdKXUDK0mbrAQXrO9TfeGb6N5Vmywn9cm5E7ZT/nnHPqbeRKHL9kyDtD3igv3jkKp2NKABz4PEoLAdOHUJyky5otvpkXx1xwnFO2KQXaxjkCJy0YaBNT0voSsuLcuwhL6ZBTMqvNGQDIFKzIrXdLmRuDWQHPaluyj+g71k6UFZiRMxi45llpaU/9D1efct09QVvCVZ8GW30mmYWv90Z/5r6y6k/UUR6IrHbSP6gjzNXFOSUDGaaAq4/+brPNNqsXGtqXGkZkRj+k/yB38vA+kE/lJ/P6bGXMMHwRSGI6fNu2TzXTySE/JbAcsdpITOfjukFOp28g1vm4p/NANt1HQHWQBq+qqsIg7bqA9IlvoOL36RprkylL16uqqldTW7Rh8NcZ6tBZEHSgiJ94PQVT+QZGnbOys14hHohDeUbnaCpKB6tDlL5zZMVgY9Bh0ZEX7b+cI9jKK+iwDd4GDedIPDJUVVW9xyoSbaAziNkdQBzBwKUc0oYjwqhDR4pd12kjLMgnIokc6eyRR64C0hAMCOJ6pjEglPBXNqSApdE5kmJwZwXRVgZ0VjZEFbY6ewRPWjCRRwlwMWAgFIgRYqn9xW0VDDjalnKjHghiiSe/kq5fA1255xcBlD4yytojDplBDMgTQuOagNAYdD3HUiZPRFGeBkKy7B7yw4quPGQU6WU1RaYMfOQbiTAgkhNpl0DBKMd+TSn6LYHC4j0gP6YoXVcGBE1d5N8YvC/IhniIDxJe7lMiyJ/nta/B2T3YIzRkUXlYApFeA7X7pqYRdfcN4K6VAAf5kU/vLwzLvcZfC2HIBmsnmSUPZA8pVtYS5F2O/cIOvkgF2VBuZAtZJbMFX/ggT8i2fJEu74c0yB+l1vXmgJgjtpQ7clvuqzu3Ium7pvxk3HFjQJBtiaQv8B5z72i875gMIWjKIpj+bjynJFBs3BPUs/FcfPV3T3COYDoWms8pwYi4e0LzuWl7JNcvxVcc7wCZVd7moP3Jknj6Mm1e4lCy9IHeJemRV/e8694F2HtvyJjrJZBFFlrl0I76O+1KcROHm5H7yodUu6Z/UAbBPYuZHAvO9fmUeO8axdm7wILqWX09ZYMciy9N76J7ZMe7pR1YWsV1PcPwRSCJaae3bZY/ERhGCLBcGuSRS4OeKUCDkmlUhLndBiUDPsUC+UN+WMGUF2FqZVFu1VSsnyyTpj1NAbeKk9e6BwHWaTNJCBz5YoH0LpiqR7QHAgkuByzHZHEg0s80E4EpQSCJ6ZSglXETgURgQBFgQT3qqKPCFCjrIN9BlmWWLkSvql5z8RjQQkxB4qbOWZJMmSoriyLrHqt9mQWYXHKsQKaSERG+spOLn/cHH4HBzJHLCws/i7KpbhZLVk2zAqzZ/V0WVlauOnxVTZ8jxv2dR6aXCEwJAklMpwStjJsIJAIDioBpVf6oprRZHk0t2w3C1K17A5p5HxLnN2dBD5cJU9Wm9fknmqJnNe1NkvymWcNYTPnz9uaZjDN8EaiqKihl/PK9A3zT+SWzlg7EO0C5Yu3nemJqHzEevuhmzToBgSSmndBK/V7GTDARSAQSgUQgEUgEEoH2Q6DPxJRDt8UTGfaMxCAxSBlIGUgZSBmYSAb2TDwSj5QBMlAWPfaWAveZmNov0grMDF+NxCAxSBlIGUgZSBlIGUgZSBl4owzYeae3pFS8PhNT27dYLZjhv/Wm8V2Aw4R6WjltD0dbE1kt3U11z7r+N2z5ZDuXxKL73v1s82zzlIGUgSmVAf73CGdvQ5+JaW8zyHjDDwH7VPpikz047Xdoi5zhV8usUSKQCCQCg41A5pcIJAJJTFMG+oSAr3nY1se+i75WY1PkPiWUDyUCiUAikAgkAolAIvA/BJKY/g+I/JlyBHwFhMXU3pO+8uFzfc2p5HkikAgkAolAIpAIJAK9RSCJaW+RyngtEfBJOf6G9tc77rjjgs9py4h5MRFIBBKBRGAgEMg0E4FhhUAS02HVnENTmZlnnjkOOeSQ8Ek7X8HxBZGhKUnmmggkAolAIpAIJAKdjEAS005uvTYq++yzzx6HH354zDrrrOHzir4k0ufi5YOJQCKQCCQCiUAi0JUIJDHtymYfmEqPGDEiDjzwwHjnO98ZJ5xwQvjM4sDklKkmAolAIpAITA0C+Wwi0K4IJDFt15bp0HK95S1viZ133jksjGI5ffXVVzu0JlnsRCARSAQSgUQgERhsBJKYDjbiXZDfDDPMEPvuu2+woB566KHx5JNPDkKtM4tEIBFIBBKBRCAR6HQEkph2egu2aflnmmmmOOCAA2KRRRaJ448/Pn7729+2aUmzWIlAIpAIJAK9QiAjJQKDgEAS00EAuVuzmHHGGWO33XaL5ZdfPk466aTI1frdKglZ70QgEUgEEoFEoHcIJDHtHU4Zq48ITDfddLH11lvHYostFl/84hfjL3/5Sx9TGpDHMtFEIBFIBBKBRCARaCMEkpi2UWMM16Igp7vsskssvPDCcfDBB8djjz02XKua9UoEEoFEIBGYCIE8SQSmDIEkplOGV8buIwJvfvObY/fdd49VVlmlntZ/6KGH+phSPpYIJAKJQCKQCCQCwxWBJKbDtWXbsF4sp9tuu2188IMfjNNOO61jV+u3IbRZpEQgEUgEEoFEYFggkMR0WDRj51Ti//7v/2KjjTaKlVdeOb7whS/EK6+80jmFz5ImAolAIpAIDAYCmUcXI5DEtIsbf6iqPs000wTL6fvf//7Yf//949e//vVUFeW5556L73//+xOFO+64I/75z3/WaTffm6rM8uFEIBFIBBKBRCARGDAEphmwlDPhRGASCCCnO+64Y2yyySZx6qmnxn333TeJ2JO+9fe//71+HsndfPPN49vf/na88MIL8Z///Cdefvnl+OY3vxk77LBDnHvuufHUU09NOrGBujs+3WeffbZf9nNVX/vC/vWvfx2fav5PBBKBRCARSASGDwJJTIdPW3ZcTaqqqonppptuGl/96ldj3LhxfarD29/+9jjssMNi4403rp+38n+ttdYKC67e8573xJxzzhn77LNPnHnmmfUXqepIQ/AHYX7iiSemOmf7wbIC/+1vf5vqtDKBRCARSASGCwJZj+GBQBLT4dGOHV2LNddcM9ZZZ50YM2ZMn31O3/SmN8Vb3/rWqKoqfHUKIIjb3nvvHe9617vis5/9bMw777wuTxRM9//5z3+uLaz2WP3vf/8b//rXv+L555+fEIpl8t///veEa6+++upE6ZQT1kzW2hdffLG21krLc5dddll85StfqfNxT77/+Mc/Qt6O5e2YlVdwLh3lkL9yyYNP7n777Rc33XRTnRaLsDiC+oqjDM6F8pw8XnrppXAuX2WQn/K5Jg/5Sc+5dDIkAolAIpAIJAKDjUAS08FGPPNriQCr6QYbbBB77LFHTO1WUojdM888U38Kdemll66tpG95y1vekC/fVG4EPp26xRZbxFZbbRXXXnttPPzww7H66qvHXHPNFcsss0xcdNFF4d/TTz8dH/rQh2qie/HFF7s0UUDsEOCPfexjseuuu8aHP/zh+PnPfx6m8MVHBn2e9ROf+ETceOONtQUXab700kvDM8suu2w91X/rrbfWW2vtvPPOsf766weXh+LqYDeD+++/P2677bZAUKXHfWGBBRaoiS8SLE9kn6UYGZXv17/+9VhxxRVrbL/xjW/E9ttvX5+fc8459bVjjjkmNtxww1httdXqtCeqWJ4kAolAIpAIJAKDhEAS00ECOrOZPAKI4Uc+8pE4/fTT4+677578Az3E4H+JsC244IL1J1FbRWNBPPnkk4Ol8IQTTghkraqq2GuvvWL22WevSd7IkSPDAq2ddtqpTmL++eevF21xC0Ds6osNf6666qrw8QA+rdwGllpqqdqCy9UAifTLKnz22WeHe0gj0nr77bfHZpttFh/96EfDZ1yVx9Zapv7PP//8mihefvnldU6HHHJITSBXXXXV2nd2zHgrM3K57LLL1vf9QUoPOuigmHnmmZ3WAWmW180331znfdJJJ9Wk2/OILsKtXEjsUUcdVT+TfxKBRCARGPYIZAXbDoEkpm3XJN1doHXXXTdYL88666x49NFH+wQGUogc2pqqqqqWadgJ4Kc//WmY6h8xYkTMN998scIKK9R5Im8f+MAHamulOH/84x8npHHKKafUFsxpp512wrVy8Kc//akm1KbQZ5ttttoK2iqe+HPMMUcstthiNXFdb731amstP9l55pknlHuJJZaoSaqvZc0999yBMHquVeDCMGJ8Hco9C8tc497gmnvy4nNrD1lke5FFFokll1wylBnmiC2yzML8+OOPeyxDIpAIJAKJQCIw6AgkMR10yDPDySFgOtlq/c985jO1n+bk4jff5w6AdO22225x4YUX1j6jzXHGjRsXpuZZVZFIgQ/oLLPMUl9H6qTDosqSyO/ymmuuqckry2dzes6VmRuBPVpZffm0smy6N6kgb2QScRTvO9/5Tm25ZUk1xX/nnXe63NswyXjqVyLI03HxyXXMUus3QyKQCCQCiUAiMBQIJDEdCtQzz8ljdwJ3AAAQAElEQVQiwIq43XbbxS677BL33ntvvWhnsg/9L8JCCy0UpsOtyLdfKiunafP/3a5/LPJhSUROWTgbAyuqSKyWfDxNpz/44INx5ZVX1j6w7rUKI8dP/f/iF7+op/vlyS3hnnvuaRV1ktc888lPfjIuuOCC+PjHP16T4Uk+kDcTgUQgEUgEBhGBzGogEUhiOpDoZtpThYDtn1gtTevfcsstU0ROl19++TjxxBNrv83Pf/7z9UIjZLQUyMIm54hkuVZ+H3nkkXIYFgWZRuezajU7sjvhZosD6X7xi18MZUaGWTxbROvxEoJsu6tZZ501lNuCpR4j541EIBFIBBKBRGCYIZDEdJg16HCrzqhRo4Ll1OIklsQpqR+/SYt8LKqyoOe4446rN92XBmuoVes777xzjB071qU6fOlLX5poy6pFF120Xmxkel16PfmMepjbAJ9N0+GrrLJKSLvVIi4E11ZNnhEat576zW9+E6bu5WshlPsItN9Wwe4D5brtorgcWJn/hz/8IaTbeF88ZNlvc8jzRCARSAQSgUSgHRCYph0KkWVIBCaFwPve977YZptt4sgjj6y/3IR8Nca3Fycrp4VK7tl8HkF0PGLEiLBKHRH83Oc+F2uvvXaIxyJ57LHHBqJmmyoWVguCELpmq+jWW29dL1Rivayq1ouplMeWTtJCLH1hytZThx9+uFshP76ctqe67LLL6m2k7rrrrpooI7QspSJa7GTxk+2dkGHbTtnT9IEHHojzzjuv/szqO97xjvCs+9/97nfr1fcWLZn6t7WV1fy23JIfq+vPfvazelGXPVCt7uc3a5W+xWV8YuGF1NrNwFZZLMT8W91TpgyJQCKQCCQCU41AJtBLBJKY9hKojDa0CIwabzk1rW+rJpvLI6OlREipbZRs57TZZpsFKyWShoCJg8C5LthCCcGzj6iV99ddd13tE8qCKg1WVc80Bivl7bNqr9DG683Hyy23XG1dRQZNx0vfAi7xWEDtl4p0WnSEJCKb3BV8DeqKK64QrSawZ5xxRli1jzh++ctfjk996lP13qkWUrHY2qrKl62QWX6s9mi10Mu+qT/60Y/qZ5Fp9bHSH0GHmY8YIMsWc33ve9+rLcMWbCG3yOnXvva1QIzVw33bS9WFyj+JQCKQCCQCicAgIZDEdJCAzmymHgHWTouCWAQRykJOrcC3SX1jQGDLVHjjdceeX2ONNeoCsY4iZK5ZaIU01jca/thaipWS9bXh8hsObXR/xBFHhDxsqI9II6IlIpcEhM92WCzA4pVgD9MSD8Fk+URqWVqVi68r0lhVVSDKLK/uW9HvOQuv+LaqB6utnQH23XffYEm1RVTJx689VaXpWEDilY27g3NBWnYVkHaPIW8kAolAIpAIJAL9jEAS034GNJMbWARM6/PdRPzsNzpQufHrNL0t/RtuuKH+ZGor0up+hkQgEUgEEoFEYCAQ6MY0k5h2Y6t3eJ1thI+cWqjEr7O/fSH5dPINtTgKEX7Xu94VLKYdDlsWPxFIBBKBRCARaHsEkpi2fRNlAVshgDAeeuihYWr/Jz/5SVjp3ipeX65ZVc8/1Gc6fdqzfJK0L2nlM80I5HkikAgkAolAItAzAklMe8Ym77Q5AsijhUZ8Im1+31/k1Fefttxyy7BFFX/QNochi5cIJAKJQCKQCLyOQIcfJTHt8Abs9uLb5skiI8SU5bTb8cj6JwKJQCKQCCQCnYxAEtNObr0se42Aje+twreZvi859bfPaZ1J/hlKBDLvRCARSAQSgS5BIIlplzT0cK+mvTdtcWQTflsy+erRcK9z1i8RSAQSgUQgEegfBNonlSSm7dMWWZKpRMBqfVZTU/qXXHJJJDmdSkDz8UQgEUgEEoFEYJARSGI6yIBndgOLwFJLLRX7779/+AynT3/66tHA5piptysCWa5EIBFIBBKBzkMgiWnntVmWeDIIIKe2kfrqV78aP/zhD+Pf//73ZJ7I24lAIpAIJAKJQCIwhQgMSPQkpgMCayY61AgsueSScfrpp8eXv/zletsnm+YPdZky/0QgEUgEEoFEIBGYNAJJTCeNT97tYAR8senrX/96WKl/3nnnRZLTDm7MwSp65pMIJAKJQCIwpAgkMR1S+DPzgUZg4YUXjkMOOSRuvfXWOP/88yN9Tgca8Uw/EUgEEoFEIBHoGYHJ3UliOjmE8n7HI7DYYovFmDFj4pvf/GZccMEF6XPa8S3a/hWgAP3zn/9MK337N9WglZBM+DrdK6+8Mmh5ZkbtjYD1D2by/LZ3SQe3dElMBxfvzG2IEFhooYXCdP7Xvva1OOOMM+Lll18eopJktu2OAALx+9//Pn7+85/Xi+f8PvvssyH861//alH8iS/5wMNvfvObOOyww2LOOeec+GaedSQCiMOTTz4Z1113XS0TN998c/zpT38K13pTIXJz3333ha/UzT777L15JOMMMQJ/+9vf4oknnohrrrmmbvMHHnggvNutiqXP+O1vfxtXXXVV+AohOfnrX//aKupE16699tqYa6654qabbproerefJDHtdgnoovqb1v/GN74RBggENclpFzX+FFQVqWRhv/zyy8NgxEf5uOOOq63uf/7znyebkkFKpAcffDB6MziJm6F9EdCet99+e3zhC1+oSYp2tR3dUUcdVV/rTckRmv/7v/+LX/7yl72JnnHaAAHKhPf9O9/5Tmy88cbhAy4vvvhiy5Kxen7lK1+p41FIkVQzJi0jN1xcdNFF4+ijj44FF1yw4WoetiSmCUsiMFwReMc73hG2kvr1r39dW1ANOsO1rlmvviFgmzED0sEHHxzCfvvtF2uvvXa89NJLvXIDQUAoQSwhfStBPtVOCCAoZ555ZowYMaLuO8jEPvvsEyuvvHI899xzvSrqdNNNF3YKmXnmmXsVPyMNPQJvfetbY+mll44ddtihXpswduzYoJS0Ktnvfve72pr+5je/OT7xiU/Exz72sZhllllaRZ3o2siRI2PfffeN+eabb6Lr3X6SxLTbJaAL6087Pfzww+Pqq68OJMQ0XRfCkFXuAYG77767HihMw1dVFTPMMEOsu+66sf7668e0004biAoLieBYMnwHnQvOGwPl5+9//3ttPRXPeUQ0RsnjNkaAtZMii0QUsoFgbrXVVvH+97+/LjnrmLYX9CfaWJs7F+pIDX+kaaqYRT1logGYNjx8y1veEmussUZoY1P1fpuLaSxh9JhppplijjnmmHC7UQ5KW0+4Of6ArPhCIXkYf1q7CpAHsuOae+SnVZ7iD9eQxHS4tmzWa5IIzDvvvLWvKf+hU045JXqaoplkInlzWCLA0vnjH/84fDmM5bRUcsUVV6xJKv/C1VdfPd72trfVcQwaFtXZnszAVOKXX4MWC8riiy8eW2yxRU7nFmA65LeqqkBEL7roouATiGCUoq+55pq1NY3bx0orrRSzzjprvQMIMmFq953vfGc0+5QiK5deemlst9124f5HP/rRuPfee0uS+duGCLBoencvvvji2te8sYjGDj6ipvsbryOW/NO33377+NCHPhRrrbVWbX19+umn62h8lM8+++zakv6rX/0qEFJ9y7bbbhu77757LWt+KURm+Rrlrk5gGP+Zpt/qlgklAh2GgM7GFJ1pGD6nOpgOq0IWdwAQ2H///aOqqthrr73qqVuDhUHD7g7TTz99rLrqqnHCCSeEAUP2b3rTm+oBZ8cddwxTtq41hmeeeSZ23nnn+PSnPx18FU31/fGPf2yMksdtjID2tWjpqaeeil122aVux7vuuqu2oC233HK1rCAeRx55ZMw222x1TUwDH3DAAbHBBhvU541/EFMkgzuAreyQ2i996UupHDeC1GbH2vODH/xgvcvGhRdeOFHpkFVT/hTaxhsvvvhi3U+wuP7gBz8IbYyAWhwlHjl44YUXwvjjnPV0xhlnrAnp448/XvclZAopveSSS+L+++8XrStCEtOuaOasZE8ImK7lQ4gonHPOOfVUSk9x83p3ILD88svHueeeW0/ff/vb3w4WD2TVCl0IVFVVW8YMIs4FfqWsatNM88YulQWEZQ055Z/IOtbXRTDyyjC4CFRVVfsYn3feeYGImmHZZptt4rOf/Ww8//zzdWG0Ows6H8P6wvg/CG2Z+h9/OuG/uNwATA9TfsgWhaUn/8UJD+bBkCFQVVXttmGxkq8J/uEPf6jLwurpC4N77rlnfd74h5uP2RT+6cgp6zjyWogoeVliiSVC3+E5cZZddtkgN29/+9tjlVVWqZXf1VZbrd5F5p577hGtK8Ibe9GuqHZWMhF4HQHT+rTSu+++O4499theLXB5/ek8Gm4IGCje85731OSUNcRAcdZZZwWLaBmQpqTOBhzx+acaZPgWJgmBSOcEhJOl3BS8/ZBZ0BEUygZL15TWRHqeIVuIC4LLSuZahvZEAKmkpFoEaaaNxdPuDBZHtVJAGD1YRymmdoKxroGlvTe1o/TqL0pcbgH6jXI+3H+HmJgOd3izfp2CgCk4PmEPPfRQHH/88RMsIZ1S/ixn/yHQuDflhhtuGDfccEM9pU9xISNTm1NVVfU03dSmk88PDgIIiD1sS26IBl9TpPQnP/lJsKCWe339pQw1EpG+ppPPDSwCm2yySTBkUFBMrf/oRz8K8tAqV2TyzjvvDC4dXH88u9RSS7WKmteaEJim6TxPE4GuRcAihZNOOimsiDStz4rRtWB0ccXt1MAiViBgKTFVt8IKK4Q9Tcv1vvySLdYy20n15fk+PZMPTRUCpmPtZem3JOSDHQcddFAssMACwWpWrvfll0ywuPF578vz+czgIVD6AvuU2sfW1HvjKvzGktjJwZ6m7utTbC/Wyge98Zk8fg2BJKav4ZB/E4EaAQOEhQ4GIZ1JX6bp6oTyT8ciYFN9lrDGCrBo8Q1cZpllGi/XW0C5gMj6WhS/skbrmnuNwUp/g5kp/cbredy+CLCY3nbbbfXCtcZSsnBWVRXcPhqvW5Hv3NQrf0LP80V0rVU4//zz433ve1+8+93vbnU7rw0xAqU9SzF222234J5zyy231Puccsco9xp/H3nkkfpjLnyJKaPGlBxPGhHq+bgTiWnPtck7iUA/IMAp3YIEg8oRRxxR71sZ+a9rELBFlAVxp512WjhmOT/xxBPr1bMWqwCCdWv++ecPX4Qyrfetb32r3mzdAGRRjAVOlBznVuE/+uijwS9NXAqPVb7SydAZCPgaGELCcmpvSe4en/vc52qCYoN0tbBrg77D7gvf//73gy+q64IV2axsZmWqqqq/9uPcV398vnLMmDF1WuJmaA8ETMVTLr7xjW8Ekml3Dde81wceeGDYHqwoE/oJW0PxQT/jjDPCc6b8WUvJxw9/+MMwG6fNuQaRI4rsww8/XI8vVu0jrvKh3FKE5Efh1Zf4feyxxyYowu2B0MCVIonpwGGbKXcwApzPLW6wrYtP0Vm138HVyaJPAQLIJx9CW0ONHj067DPJuP0T0AAAEABJREFUQmIhlFW5krJfJTLx3ve+N1hB7VG60UYbhek9U7y2jyE33/ve94LsGMhsN2RQElca7R2ydAUB1nLb9tiyh+Vz8803r7/W40tO2p5/urhzzz137W9qep/8sILajeGkk06KvffeO0z/IyQIK6s8mfCc4wUXXNBhhjZCgDK5//771wonq+inPvWpQCQVcdNNNw07K5S2p6RYn+AjHAimPgQp1RfYeH/s2LH19nNI6siRI8OeyLfeemtcf/31YRsq5NPqfrJCbrgMWOtw8sknh+3ExCEnCCziqgzDOSQxHc6tm3WbKgR88Qe5YN2yETKCMVUJ5sMdgYCNtA0eNsVn4bziiiviyCOPDITSdH6phGn9r3/968GiYmuXD3/4wzVhKeQVsbV4yjZDBpfPf/7z9cKJ8nz+dgYCpuzXW2+9uv0RTF//IRf2IEU6GmvhS1AUGNZ2ygkrK9cgZFU8Ci9CYxsypBbZafVRBnEzDC0C3mPWT+0teI9t76RU7nnfHQtIpDgl2BfbjIqdPPQfdnvhV37ooYeGPsPWURZDlfgUWLM0yGm5Jk3by+k7yjULrcijPIdz6BpiOpwbMes2cAggFwiKAcXq227QVgcOzUw5EUgEEoFEIBGYNAJJTCeNT97tQAQsNjCdws/H79RWwcbpLCXStfVHktOpRTSfH6YIZLUSgUQgEZhqBJKYTjWE/ZcAx2e+KLYP6b9UOzMlm03z5+pL6ceNGxcWnPgcoE8FWsTUl3Qanyl+ZhY3mNbluN54P48TgUQgEUgEEoFEYOoR6Dpiytpl9ZyNsvn3+BrDd7/73bDK8g17FE49vlOUwrnnnhsf+chH4oUXXpii54ZbZCsQ+dVwPu9L3Z577rl6sYE0PM+fy+/UBv6FVlzzHbLCOsnp1CKazycCiUAikAgkAhMj0FXE9JVXXgmrbMeMGVN/j9YKOitpbQfz8Y9/PGwNNDE8A3dmK4hf/epXE2VgE29kypYiE93oshOEz7R588KC3sLg6xoczS1a2nrrrUN6vX22N/EoD75lbAshik5vnsk4iUAi0BqBvJoIJAKJQCMCXUNMX3rppbBC7pe//GW9Kg4J/MAHPlBvbGzlpAUutmxoBGegjpEu2z6Yum/MAxGzWbOtKRqvd9uxbXX4h9puoy91t5q+PPf000+HldHlvD9+bR1EXmwV4rc//Fj7o1yZRiKQCCQCiUAi0OkIdAUxNTVsU2t7y9mOoWzd0dh49qbbbLPNJlxCZO+5557g64go8f0sljfpPfjgg/HTn/40XBenWM6uvvrquPrqq+Ouu+4K8Vx3LiBJvvxgLzsbc998881xzTXX1BY95EY69jUrheBjeeedd9Ybe/OTtBGz/Jqn+k1dc0OQR2NQ7pJW46+62UNN3DvuuCN8Os19vq3I8t133127E9x0003hCzh8NpVbHEE9xo4dW9fT1y9Yol0vgQWaAuBZ920+XO75feKJJ2rctIe8YeR6CTYSthUPgm6LJu0AC+4WPv934403hnPPaQf5iAPvkoZfeKqPL2847+/wyU9+sv7yB5cQ7dPf6Wd6iUAikAgkAolAtyHQFcQUEbIPGEK61lpr9djGNsN18+WXXw57j+2000711zvsQbbDDjsEX1QE0lde7GuJfLlmxfaPf/zjcM81e4/xRUQgETppmf5FoHw5wjS+X+VCApGs+++/P3xXd8stt1SEelNu+di37IILLghfjpCX+/ZWk5eIL774YsjrwgsvrL/ZvPPOO8c222wT9tJDWMVpDPK1UbSAzJ566qn1V0iUFVG0mThr8kUXXRTuWTxkU2DllA5SamGRfdeQavXib1nK4/4xxxwTSDRSuuuuu4avnqij57kv2OMPKYfh6NGja3LunsCajIwjpoiotHffffeABRyVW5qu20vwyiuvDHiIg0hLQ0BKtYn95JwPVNDW73rXu+oyaNeByifTTQQSgQYE8jARSASGLQJdQUxZ/FjWVl111Uk2pA20RbB3JR9FZIrPJxcAltZ11lknEE8battc99BDD61Joa/AIF/PPvtsuOarENIRfJIQcZWec1ZAllnT9laNI3k27R05cmTYONcUtnj8I31ZxCfMWA3XXnvt+qsyNmdGuFglxbNZLyLnCxW+PmETb+Ru9dVXj2WXXVaUiQIC6XN5iDZC6/N5ymT6W3xkGTFffPHFw5ePfKWEFRdR/ctf/lJ/hcIXKPbZZ5/4whe+EKuttlpIr5BgK9Y9r84Wlik3Uu1TbZ439e1rKAidr1qoh69d+FVQ5A7+c889d8BVOXxRAy42JLbhPdy0QVVVQXnwWT+fidNW6o5k+8KOza6rqgpkWNtIfyACP1btywoO34HIY7inSTYoHtp4uNc169c7BMy0mF0ym9W7JzJWtyJgQbPxzNjUrRgMp3p3BTFFVJA7voHNjWda2+fBbAdUVVUgaAgG/0ZEEYFbfvnlY+ONN45FFlkkWPnsa+lThFZpiycOi6cp5qqqwmbsjflIR2i81nhcVVWMGDEikKtyXVnnnHPOkMcKK6wQrL3izDPPPIHksQiK+6Mf/Sj4OiJGSDBrqQ69uB2I0xwQdcTNVLh0kWzPzjvvvGHhkIU9o0aNivnmmy+QaAvEEHJEHVm0Kl3ZEFqf2UPGpGVaHlFGnmEA0xNOOCFMsyPfXB9M00ub5VZ9WRt/85vfBMVBOfnesmqrN3JeCCp/YOWBwcjxJF4ZtJvtm2CizMiNNPgMs6rCDcnVntJxbyCCPMiANmDRhsdA5DNc0zSrQHmgCFFi2qmeFB1hasskDWFq0+nr8943sxQrrbRSrVz3NZ3Beo5bjhkQijb3ncHKtzf5wLI/2rK/0ulNmZvjGEMYB/SnVVUFtyRjZHO8Tji/77776q+vmVVrdisbyvKTEaE/yqCP7I90OiWNriCmSBfy0MrnEslEmBA6jcZCaErdcatgOn266aYL6ZX7yBHSZOq6XBusX8QYudbRyBMpQuiQVefNAZk0Ne8rRqbhEVvf5m2OV84RRCScJdNLDyfk8/bbbw9T9lwGStzbbrutPoRHfdD0hzbrBWMVK0HZEUzl4uPKMuu86dEpOjXdz8Jagg5rihLoY2QuEOuuu27o8Lkh9Fen1MfidMxjFBjWbZbwSSlwQ1EhswH8sKcmb3KAZCGGU5NOX5/1zsnfzILZlb6mM5jP6WPtmkKJ7b98+yel888/P/RlU5MamaCEmxGbmnT6+qyZJwYBu9FQ+rlGcWXrRHLKuMEY0VcsBuI57cs1jsI9tekzNJldnNp0Oun5aTqpsH0tK6vgYostVvs9vvjii29IBjktWzQhmG+I0HCBVQ7h8VsuI4I0z5lmmqlcGrTfXXbZJRBGi5GQUp0dFwADfatCIJr8SPl5Iq+mwvnQlqn0Vs+4xoKLNPAhHTNmTO3PakqetdX9xlBIcuM1x6b4YWXK3cKrEvjQIqMsqx/84Adrq7X4nRj22GOPWHnllcNiO5bpTqxDlvk1BJA4A/hrZ33/630gD2YU+p5K359E/Lkx6SvMUvQ9pXzSTBOCP7VIWJSJDJKNqU1rSp8322amizsU44L+mJGCi9hQEeUprUO7x2cEs/aBa9zUlNVsr/GWO9vUpNNpz3YFMfUSrrLKKoGUTq3mwXeTVknwSmObxkYKLdgp1wbjVx4IqE7FQiXWBVqawZTbgfutAmsv309Tp8cff3ycd9550ZM1h+aHiMPQoGaKnKZt6gcBY40ueYhjego5Ltf8wuvhhx8Omi3Lqx0BXC/By6dDtKBKXcr1Tv1F1t/97ncHwk/mOrUeQ1lubiP77bdfeG8FvtsFSwMov0NKjA9lUHjInHiC68WSz7LlmkARalUnsySe2WKLLYJftEGA68pee+0VFv3xixa468ibdYYMszCNHj065G8AUkY+19JiVfvrX/9a77ghjpkWPtnKIV2/AkVPPHsoO2d1V8ZXX321Vv6Ka4j62PaMywh3GD7dfMr1R3zrpOG5SQXKJcV0UnHa+Z6+w4wNnARuQnBiEbb4k7uVfs2MDjzMCoknwG7s2LF19czsuCYUF6L6xv/+SM84scYaa8T2228f/OZhbqGl9kEq9VPaH8ljVTfLxipN0WeFZLgge+LLR9k8z0WBrJAhC0T9UhrIl3iCYvCJN7Pl3AyMa+RMGmYWGCMQW/WlcJAjszQHHnhg/c4ovxkozzUH7ljyY5Bxj1Fls802C7NXPT0jXicFe0zDroRSdjKw3XbbxahRo+p9y+HMFaDE8+tDN+KTDe3vmnHStcagLbkekRPtAHtbTtqhxSJkbWWc9Ly+g6uf69qRQuBdJktwN1Yw9HBjI7faV9n0Rwhu6d8Ylbzz4hkvlaf0HeSOPLpmVyByq//SZxmTuNjp14zpFGX9lD7Lu+KZdgp9IqaImOAFVsl2qlCrsrBk2tJn2WWXDQJmMY+yl7jqIJRzv+XcYFiOXdeQBi5C5rpAGEyplynxqqpCYyOriBprJHJGYJ1LR3AMR9edS2tSv433HAsET0enk6PNe6m8KKwk7jcHZTrqqKNC3jokHT3CqCMtcXVO5Vz5CDOLJquywR2x1anBsOAjPf5rCLEXxkIWeUnL4iZxS7mQWwN7ua8T9bIaNJHbUg6/MFEGA5BzwbUSnAvN564NVUDWLYiChw4B8R6qsnRqvmTN+2TAtUDP4kLySrZ01GTGTgyf+cxnwn2yRVHiYkJB1Amru9kD8kaBMxi51hi48di5gQuJhYjnnHNOPQNB3qWr73BfQAYNIEimHSHIMMKoP1AOMsw1Bmk2INn1Yq655qr93xZddNF61w39BjJttw0uApQ+fu0HHHBAiGuQ9C759Z7KxwIgpMO76v1DflxbcMEFQz2VSbkb6zUcj/mSG+TJBKUaEUC2KRb6P32f941cGNwRELNl+i+DeWn/5ZZbLixQhaf+qhkrJEDbXnbZZRZX1otA9ed87Q855JD64yy+Jmcs0f8yBCCnXIgQE/e0rfLx27cwh6Lq3Nfs+McjTmbnyDI5YVggo8qqPHzijVn6PQRJX6lMZJIMUHyqqgqKi3pbjEomKEZ2UiE7+mBpNQd9N5lrvM51wnsj38brnXpsobIxx7tiXFQPu+LASrsJ3mPkzWwqUmfaHUdARsW3LoJrljGJEuJaY6DgeD+5imk/igijDTmlNCw4/v0kG955Y4I42k3eiKryIKbeff0IudEv6Dv0R9rComt9EHmVDis3RZQsFN5AQVVfskdelMNaGH2WX9cpIngKuUBk9THkn0KnL22sVzscTzExRVgAS5vTOQCaFmIaVueJ6bdDxZrLYHGMQa10LgTNi+slJ0QsdogEqyCyRRNCKHR6Bi8ES5o6N41MiAi5Dkm6rhFI0918dmj3LCS0d9ZI+XtBbLFkgH3nO98ZBhPT2ISUkBtU5XPWWWfVPkw0LqRM+vClkXseyVVumpZO1Asmfx2yeumUlZmQKnNj8LLK16ICW2gRXqSa1vrC2CAAABAASURBVF7imXI0eBpkCb1OjKambvJQTh2kzlWbW2ilU1QunTMMaYbw1NnyUUUQ4ONlrKoqaP0GGfeXXnrpQN59XKCUwa9yqLt04cxqQROEowHBy6ytdOw6FQqH+J5thwAzHaOOBnnRGbRDudq9DGRee+pIyTxfQ2VGSCiGiJj3yaBM6ycb3jcdvMHA9ChrhmcEg73BxuDgvDHoA8gnFxPyigA33m88Rm7k6R2ySNC7aBBAfgww5NmiP+TIO6O8jc+XY++R3SYafbFZsbjWiENBs3CPlU2ZkSfvNQsLAq6/YDFxzvoqfwOVZ4dr0C9qR5Z0Ay2s1VW/baBlWYInVxrY6ReNVfo5uFIqyJVn/EpnvfXWq3dCca0xIBtIGtILZ9atxvuNxwgDIkjBIKf6IEoF8kcmEQbtyaceudVfNT5fjuVFpshhuYaYkCfnfPCVRXBOCWNtFcgttyHKMMsnWfEcORG3NwH5ZfXzXvUmfjvHMTtnvQeewprMSGN84bJAkYMrAmq3HeO78Qsv0I7GGkYO9dOHUDAoI86bA3wZaYznyK13UdrN8ZxbGIsIes8pJniBMUx7GhP1LZQYypS2wwc81yqwrDZfxyfKNWMtRYWsWbhNISKbSC8uQmaVVZ9IScMlyrPt8jvFxBRoKi2olJeNRmhwQKhoCAImTjg0ertU1hZNBBHpYiXUgSBZOj0NpUOiJbF86Ew0KGLBpE5jVQ+CqCM0RUOIETPaFsH2AoiDYJlmMkiygugwdBa0FRqYDhSxN3WIrOlIDWIGImlLQ0ejs0IMlZV2pEP2vAFY+XS8rDME0bly6mB0yrQqdZNWY3jTm94UBncvE5LnOR2vl6LEc2yw8+J4oRAB19xnGWJZgqXOVlsrj07NAKBDR7bF85LxZfXCe1YwsGoDA4npMPcN5MoDB3FKgC3SLK4O02Ci09GpyFPHoa0QEXnoaNwvz7fDL/JgAKS5IjGl02uHsrVrGSiFZIRceD9KOfUnOltWA4qRYLZAH0TuWaD0S1ZxG1A857r3wjvivDkgOBQcMk55MOVL1prjNZ7rAxED7+fIkSODRcM7QX69x94/CxYan5maY5bj8jzigqzqp8q1ngbDcr/TfxFJii9FWV8L71InygEF3dhDHgQkRN9MNgzY+nbxSt+gH9Xn659LOo2/DAtkTN8kDcqIXUga4zQfk1MyRjakSxaVhXxQqJEP/XXzc305r6oqWGDLs/BAePTZ5ZoxphxP7tf7oa8fPXr0G3aUmdyz7XTfGM1yzq3CjId3u5TPGEF5M8Ybm4yPDGoUCv2K8QdhMyYKniMv3nEy5Lw5GBsRPVZXY61xf/HFF2+O9oZzygPllMzgE57HEYxvFGWy+YaH+nBBnZQdLzHOy8s47prkKM/q57jdwhQTUxVQIR2jAZfGRqOwbyXBRpS8NDRUHT4LmwYnCKZGEC5pDFXQSDRMmhQBRnr4srHgERTlQrrUxz0BuTAguCcgYEilets/lMWFoLknaGzYuI9sGjikT3txX0Dq+Q4hdCyMhFVegs5XfPedCwip645L0CGZCjJFgAjrnFlA+Ywi1AZseTUG9ZeOOktH+xDWxjjqR5uCjzZtvK8uSDXLhOlJnSGSqG4FA+0vjvIbwBvTdqzTQPrFKffhIS33S6AZKmMJcKZ1lnO/2kpdHZdQnm+XXzKgk6TBN/omt0v52q0cCLzZAgSjqqoJxdN3kD/afwmmoVj+i8WflZqMm14zY+D9oACZqpyQUMMBhZLyZ+oMEaZgl36gIdokD73vFC79HcXSAOndnORDebPXCJhpQJy0M2W08UHkwUBb5MGvGSGGEQq9uFw5EBMypW1Mj3onS38lTmPQx5jxITvkA4GhIDfGmdwxYmhanQWe8i6+cdNvOwVkecyYMfVHWeDYTmWb0rJ47ykdyCmXicbnjYXa3gwLGREQVLNv2glx04d4943bZkXMxLFiUwQb0yrHFEa8hiXWeGnmlayW+739JWvKjUtQsqrq9T6vt2kMt3h9IqbNIOj0vYgEm9aAVCF2yJKOHnFi6uaE60VHQDSkF5/VkkZMEDRqWpSa0e35nBWAJYE2b+rIoI1E6kRp7jDv+ek33oE9rc3vG+/mlb4i4P1AeljjKCAswX1Nqxueo2iQYwO6jrrUGY58uCjFiH4JFE39j3gUSNZLZII7i+lf2LvXKiAL8rNokCJkcGA9bRW3p2vclyhxpm4RZdOF3r+e4uf1KUNAuxu8EQvWJeNESYEVCAnhDlTkwa9xiMIvnv6QcYElm9WMRQxBca9V0JdSqk1xsoB5lttWq7g9XSMLDAB8pRkMjInK2lP8obiun0fgzf6NGjWq3jN7KMrRX3kil95lhhHkkoJb0nZPX8KSTT4aA/kQz/iJl7CgUlSR9mWXXbZHXCikZg0pR9qaaxvjAzmVXm+CNjCbiguZuWQw64kI9ya94RKnX4jppMCoqipYtUzrAp9mYLBgiaPF2PxcR86ChsiyOnANQFhNi4kzqfS7+R6Lpekj1lQDKiwpAbR0Lxvce4sPf1rY2yKHVY/W+fqUQm9TyXiTQoCVnVWXK4WpZsrYpOJ36z2KVhlYWDMNELBgaTe4k3Hy6prA/5pPqmPBrI0OnzXDNKxrPQWkhmLM5QYhpTizfDTHF6exvRqPDWSmavVjCKm8xW9Oo5ybPizHJZ7BTGi8V+K4Xo679Vc/Z2aGm4f+jTUcFpQJ/ZSpdwqCa4ir94sS45xllEJoPLGgyNS+6z0FREO7jBw5MhBSig/f+eb42kVermvzxmPWXRZ+MuG+e40y41pjUIdyLl3Hrnmm1RiofOL0NUjTtDGrMvcr6chL3++4U4OZCm1GuTB7wRVDXcwCUnatxzCb65o2wUUoKs4F7WXc5JvMDdGx662CdJBd9xji9OsUXO3mWmNofK9L+7pPgaa4UKaVTxu43lMwY0DWhMa42pNMNF5TP/F6Squdrw84MW2ufFVV9epTU9jIKCHiCGzxDgufxuYjpiNAZO0ZRwtheUWaTO81p9mt56YZvGim5Qm1F8KLScOHr6mN3mJTfDW9kJyk+R15CXr7fMbrHQKsd/yJyLzBs1M7jt7VtvexdKr8R+GBLJoaZ/0wLYsweu8Nosi9RZeIK79dJIVCZRam5MZKBWfTt4hmud7ql5VDW/AJ1ZF7FgEWlzWVpcVCBIMXouG9MMjwR1Vm8bxnSJH+yXWWOQOWQZ7vmTQQVov5EGiB/5cgrgU8yK3ZCouoDFaOlclAQ0mXj/cRDga2YnUXB0mXn2PxWgXpKLtnEbRWcdrtmvqSCWVXZkqGd4dlSdurM9JoJsJCUz6dXJmMGaZoKRulTpR4C0wQFemU661+KUP6VQqRvFnSWGTFZZEnJ95dpAZ54f+vDfiSuiceMmws0/6Irtkt5AFZds19FjeyQLHS7nPOOWe9hzMffc9In1xpf76M8hDKOyIffT6ZEI+8uyYObMhQIfCuNwbjrjGWXCP1gnFWvaXfGLcTjtVVvbUHhUIbwllfAReGGn0CC7HxkvLp3ccrrLovdeSri5dIB2H3jpZ7zb98nrmF8Gd2T3sak7WtPkH/wcdd+wraiUxzERBfsKjNr3deXO4m+hdySiaMy8qg7yBz5IKM6e+0nWcYkVjo9TfS0fZkDx6ui6+vcl0f4J48yQwZJ7+T6jvEHeww6MS0uYJVVdWf4yQE/H5oswYd0wsIFv9UgmNQMIDwIdM5meYjGIBvTrObzgmo6Qfamo6ZJZpLxZRiYKWghSPSEJBTJHdK08n4k0eAf5OgY0RkJv/E8I5hcLWvngVPOlCzKwZKna7O00wAP1EdtffewGJAsZgQGeDnbkApKLGq2u3Be0FhK9db/SIe3GEocgiOaWNEWFw+zfzI5G+mxyDEuqGDN/3GSiqevovlzsBuwLOKHonmF2mA8h4hyMrMSuW+AUxfxvrLWmLA4t9mitlUnjIhX64j6BbisLYbhAxw3nM7UKgjGTLLhJwZyJSpMSAnFE4WZPflx6+wMU67HcMYueD+ZfC0sBGJtxLaPeVnzDCgwpCVnMwgrchsc/9FPkzfcgkw0E+qvuRRW2sL44/FTNrbMxQm07sW0BrQTfkjO3aQMJ1r+riqqnovUW3MxcPONY6lY8sf1jyWONPnym4lv/7Xoivl1j4ULrKIUJFLeesvYIBomPLlR81/FnEVXEOAzaB5L5RLOT3bGMgwWSCPLMgs0QJCTzarqrN8HE27mzHU7tpJP4LwI6Q4g74WxtoetngD/1JxcIni8lEwwju0FUWmXGv1S05gqH30H95DllPvL9ci7aAsZBix9A6SXcRXnyJNLif6Nm2pbyOblC18h3xJCx8i99Ki4FJ0lZ8ibJ2G9wMZ5+Kk3MgtWaQIiUdZY+Qjawg3xYzy4/2iwFGWlIHyp0ztEIacmLYCwcBC26XlWulqxbXGBKwXUwN7YXXeXmZ+QF5QDQdkg42XtxM1v1Z4dOi1LHYPCNCSERWDLR8lg1kPUbviss6XUqQj9t6ydCCb3mdEFTk1NWqBHIsmQkrr13kjggb1RqCqqqr3IuVrxmrReK/5WIeN7LFOsTbYaq2sykcodfL6FIMa4kkRVibX+A1KT5mQABYL5AF5MRghjsqsfkglawelz7Qi64pBkmVEPCQIEXWMDBvgpAcPBJfCjjAbfFk9TRkiY8rHwuK6+8qsTI1BXogcsqLsLNLOG+O02zHyhmgj4fpzxMKiJPXWr7vO4sdnkPKBSLIQUV4M+kh+Y52qqgr34dx4vdUxq6EBmxWbbLC6cS8RF3EgK6xXrPdIJ4sZkoKYUEjEQ/AoLmQUAfCe828lb8Y1RNl45t0n+8iRtlN2hIpFE0FRX4tZyYR0yL36s7ohUN4RigdyYhEOgsTCrzzSYbBQnsbg3ZKOZ+BYAhlCshrjdsIxcundgov2p/BRCBAzQVtZjKztKBLqCxvYeT+ramIi7j2h2Db3K81YUATIgkA+Ef6SHgKJ6JMJ2wVSIM2MeP8oMcohPf0TpRxhVR5kmG88uXBMOaGAIZSUDEa6qqrqxWqssBQRYwlFlazokyj2noeHfgo30p/oa1zTn4hDrr0T+hMKc+n3lGuoQ1sS00mBQlvwYhMKDUkT0QHQbHXkNISidWpIHb1pEALCjO2FnVT6eS8RGCwEaPIGJ6SFxUunNVh5D8d8WBd1vDpbU90sW/qL4VjXrFPvECj9PVLAet2X2aTe5TRUsTLf/kCAAoig6YMpp8htf6SbafQNgY4jps3VNPDQbGgNpiVosKa9kFPXaQlWV7Kuuk4LJ3g0BNNzpraa08zzRGCwEDDdY8suShZyilgNVt7DKR+WEdN2rKmmdFnc7DM4nOqYdZkyBPTtLJCmSPkhkwczbVOWSsbuBgQYt+z4YFbEDAg3nm6od7vWseOJaTOwVVWFzodgcXbme2LKjM8F8zVTNzcBpm5E1So8ZnBTcKZtmPmb08zzwUOgG3Pin0icggPoAAAQAElEQVQObTVkGq4bMZjaOrN2mBnxHiOpprlNg01tuvl85yLAWmp686STTqo/gmAan9W0c2uUJR8oBPizW2hpVpW/7UDlk+n2DoFhR0ybq11VVf01C35InIP56iABHIr5+9h+BHnVYZlW5aTOT4RTMV+j4vfG1J/WrGZ087w/EOBzyjeMHzXLP5+l/ki3m9Lgo8dSanWumRNWj26qf9b1jQhYgGKHF/55fHRZ0d8YqyuvZKWbEEBGkVKKLcNV0+08HWQEhj0xnRyeXAH4oiGi/FGtTDPt42sQVu3p0Dguc6bmYM8FAHHg28rpnaVmcnnk/USgNwhYyGeVp/33LJ7hM9mb5zJOIpAIJAKJQCIwXBDoemLa3JCIqhWVVlxa/Y+s8juxQTMrDJM/K6vtHUy9imNlMD9WKwOtkGxOM88HGIFhlLzP4rHm286D3xNL/TCqXlYlEUgEEoFEIBGYJAJJTCcJT0RVVcENgAuA7Ur4q9rqwZYbtqlYZ511alcBVlTbL9gdgD+rLSD4vNmSI/JfIjAFCLCc2p6IhZ7f8xQ8mlETgUQgERgQBDLRRGCwEEhiOoVIV1VVO9LbP8+edSxcNqe1TZWNbG3ea6sJe8LZd87eYPZEs5+cvRhtCM0Kxl9VmMLsM3oXIODLITbftoOEzZD5yXVBtbOKiUAikAgkAolAJDHtZyGwiAoR5ZOKpFrlb6ofibWBt22sEFdE1obafAl9wcE+e+Iirf1cpEyuJQLtf9FXQZBSlngflrDKuP1LnSVMBBKBRCARSAT6jkAS075j16sn+awuvfTSwaqKYPBPZQnjAuCLLEgp0uHrHlYE+lSc/RgREl9t8NWTXmWUkYYlAhbm+UqPr7qQnVRchmUzZ6USgeGJQNYqEegDAklM+wDa1DxSVVUssMACYdW/T8qxrNqqwmfHLLiy116M/8e6yhVgrbXWCttZ+UQdEuvLFONv5/8uQmCFFVYIPs0+EuETlF1U9axqIpAIJAKJQJchkMR0iBu8qqrwDV9k1be9+RZa+IKU2pfRymx7W5rqR2BZWZFXX6mwMAZRTV/VQWvEIcmIe8hKK60ULO2UFBb2ISlIZpoIJAKJQCKQCAwwAklMBxjgqU3e5uuspraluv7668NXbb70pS+FxVf2vPRJS9ZW073cAVha7b/6+OOPh4VWU5t/Pt8+CCy22GJhWzKfL73kkkvib3/7W/sULkuSCCQCiUC/IJCJdDsCSUw7TAIQVVO7yOgpp5wSFk/50o0thvgfsqLae9UOAccdd1xtZbPn6s9//vN48sknO6y2WdxmBOyxyw+ZksJymj7IzQjleSKQCCQCiUAnI5DEtJNbb3zZEdWFF144TO9zAfDVoP322y9Gjx4dH/rQhwKJZWW1VZWN29dff/2wdRV/xQceeGB8Cvl/oBHo7/Tt8GCvXLs+sJz2d/qZXiKQCCQCiUAiMFQIDCti+tRTT8WBBx4YCNpQATrU+fJH9IWqhRZaKGw3ZKofifniF78YviaEkNrO6vbbb48dd9wxZp555uDDeuyxx4aPBAx1+TP/ySNQdno46qij4phjjolvf/vbk38oYyQCiUAiMHwRyJoNIwQGnJiaXn7ooYfCtPJWW20VNqRHlnbdddcwxXz44YfHww8/PNWQ8re7++67gwUpv7bUM5wWWm2yySZx/PHHB3L69NNP1xZUi6rOOeec0DZWgB999NFx/vnnxy9+8Yu47777Aul/+eWXe0447ww6Aj7eYAspfqfa6tVXXx30MmSGiUAikAgkAolAfyIw4MT01ltvjb322ivuv//+OOigg+Kaa66JK664Iqww//Wvfx327PzTn/401XWafvrpa8sfH7ypTqyLEphppplqZWHvvfeOs846Ky699NK6bZZbbrlARO0KcPHFF9f3WFVZ6C666KK45ZZb4tlnn+0ipAa5qr3Mbt555w3uG5QyvsXpc9pL4DJaIpAIJAKJQFsiMKDE9A9/+ENNSllNDZ4rrrhisMxNN910seSSS9aWuj333DP6g5i2JbodWKgZZpghllhiieCLuvvuu4cvVO2zzz5hz1WW1qWWWir++Mc/BhLk+mabbRYW49ghwAcBOrDKHV9kPsbcNW6++eaw321uH9bxTZoVSAQSgUFAILNoTwQGlJjyfTON/+EPfzgWXHDBqKpqIhSQID6hfsuNG2+8MVZZZZXgR7fhhhu+we/Rgg8Dsfu+qDSlfpGm/BEqBNnzO+20UyhjyZ8l0Ap36SNntl0q90xnb7755nXZ5pxzznrFe7n34IMP1uTtK1/5Sl3mNdZYI/h62ubpH//4R+0H6BnTr1bIl+fa/dfiqjnmmCNYot/73vfWVmnWVV+xYkk9/fTTY/HFF4+f/vSnsemmmwYL3tZbbx2nnXZa3HPPPYEkCe1ez04uX1VV4Z2wzyk/4jPPPLPGvZPrlGVPBBKBRCAR6E4EBoyY/vOf/wwbxL/5zW+uraM9wTvjjDPWK8pNQZrW53t68sknxwsvvFATHqvNv/vd7warKxLKT9U+nr///e8DyUOCpsTiyqKEbD333HPBp/K2226bULRrr722tv7ZasmG9q+88kqst956wQ9TebbffvuwuOjFF18MhJPfLNeE559/Pmzfw9fvkUceCZYr97fZZpvgq8mfU/0uu+yyekGSVfGdvnVTVVW1ooGIbrvttoGg8kVFRrUhBUC9N95440BkuQEgsrCxG8AzzzxT78k6Afw8mGoEZp111iBj9rEl5+lrPdWQZgKJQCKQCCQCg4zAgBFT/ofIHBJoM/jJ1QtR47/I93T55ZePWWaZpfadYwlCFBHRxx57rL5uCyRWPBa6l156qZ5anlz65T6LKAttVVXhazqf/vSn61v8KVkBkahFF100Ro4cWa/uHzduXPCzlA8CbAsmK9lZRN/2trcFS+lss80W66yzTlhYhECbArfI66Mf/WhNqJFzpNZqeNcQW/jUGQ+zPzDxQQD+xBQTFjzTzKyq2pDF+8ILLwxWPe190kknBTeAO+64IygLwwyOQa8O2STT48bLLV9gCuKgFyIzTAQSgURguCKQ9RpwBAaMmLKYIWm9rQHCyCfVHo3lGeQU+UT+BISH9XTWWWeNK6+8Mgy8JW5vfzfYYIPw5ZyDDz44TOHbKmn++ecPA7ndAUyHrrnmmiGw+BnYWQHnnnvuOO+88+pV66yiFgrxtWzOFwFDRF1HyrkEILnTTjutS2GxUX3QJX8QpWWWWSZYTrlQ+BgAv+Ltttuu9mOF/eOPP17v0MDSyvpqayv7rnKd4AYgdAlc/VJNVmzKEflmyU78+gXWTCQRSAQSgURgEBAYMGLKJ5EfpylsU92TqwtSigSaKm+Ma3X43//+97AVDp9Nq+/5nv7sZz8LVsvGuL053mKLLeKEE04I2+xYyINssqCy5skHIeIvKSCk/EPFRzbVCWli9WRVHTFiRG+yzDgNCGg/JN/nNVdeeeXgf7z//vvHiSeeWC+o+tznPhdzzTVXve3X6quvXvu22pfW1LTFVUiW0JBkHjYhUFVV7etLyeLPzOVkEpg1PZ2niUAikAgkAonA0CEwYMRUlSws8tUhC5oQVNeag+umyN/61rfW/puNPp/isrqykJoiRiatDOejiSz2xkVAGo0B8UVO+TpaeGXa06c95cHCyU+UlbMEz5rm52qw5ZZbhml4vqist3YXcD/D1CFQVa/5q8Ic+W8komPHjg3txSf1sMMOq79mhchyAeBPye+YpZtiwUo/dSUZXk+TT369sOE6wWd6eNUwa5MIJAKJQCcgkGWcEgQGlJiOHj06WBb5Gd51110tVwojHqZyrYQvlrLGRRsWyrBsIiwWFLFuspiqJGum3ykJFit5znSn9EaNGhU33HBDbZlzzap65Phf//pXney9995b79nJQuv6fvvtF8rgfisrFKtr/WD+6RcEKB/a24cYkCwL1nyx6h3veEewoNoT1+bypqwtirMbgGva7c9//nNLmeuXgnVIIsg+7Mxa2CXDrESHFD2LmQgkAolAItCFCAwoMUX0EAmWG4TuBz/4QbDewNlCJlONfC/5lfqE5r777ltvtcR/k6X1uuuuqxfG7LHHHmGBETJiyt9nNfmamm430Ir36KOPBovQ7373uxDHSnr5NIevfvWrYdU/0sIS6hcp5gvJesovD6Hmo8dyZzU5v1H5q4dnb7rpprCAx+Iui3Z8HYlFFeHlK6vs8lUWBNbm5+65Jn15is9a7FqG3iPAcm5xnG27LLBiPbe4ym4Na6+9drjPH5mF0N6r2pCbACs3n2DKhND7HDs/ptkAX/Oy4K6/pvU7H5WsQSKQCCQCiUA7IjCgxFSFraBHSK1mtxG7LZ7s52kFvIUu/AgRPlPsvhBlBT6rF6Jo8REfUAuRpMX/0HWExPS/FfwslBbJIJnvfve76wVNtm5ab7314oknnvDYRAERZmHjr8rPUbksyhHJQig+pqb0kV9Tw6aMLdDhz8qNwJZWysU30vNIp6lkbgssv5dddllYYDVmzJiwwAcxRcA/+clP1qv8uQ8gzdwC+LDKN0PfEbDdGJliVbf/LYL6iU98olY+ylestOfZZ58d5EOw84KFc9wDkFSh7yXojCcRdu8fBc5vN9S5M1omS5kIJAKJQEsEuvbigBNTyJqitwre/oqIGosmy+U73/lOtyeEqqoCWTV4imflvU3wSwRfJLJ6HqFgJbMlE2J61FFHhUVSpnYNuPxSTeUilOXZ8ms6mFuB9E1vstJWVVVu15v7I5vcCbggGNDd5AOL3HjOV49YeVlO1eljH/tY2Pe05M09ATHlj1quIbhILSupa36VWdoZ+g+Bqqrq/VVNYVN27AiAiLJwkxtklaJz//33B6t4IbKUIT7Md955Z+0iYOsq1vj+K9nQp1RVVVD8vB/8qilzQ1+qLEEikAgkAolAIvA6AoNCTF/PLo8SgaFFgDLEDYD1/fLLL68tq865arBgI67f+MY3AnHzcQTKiAVxXDC4aFAqhrYGU587i7LZALMRxcVk6lPtRQoZJRFIBBKBRCARmAwCSUwnA1DeHt4IzDPPPPG+972vttRb9c/lYpdddglklZuJ7a1uv/32YPG2O4A9WC204lfM4oioCp2Ekv2B1VH5LQDstPJ3EtZZ1kQgEUgEBhOB4ZBXEtPh0IpZh35DwAcQuIBwARg1alR85CMfCR8FQEYvu+yysIctNw+L4hZccMGa1CKzrK/FdaMTiB4LMSKuLny1O6HM/dbImVAikAgkAolA2yKQxLRtmyYL1g4IVNXrPqsW6fkogKlwC/qscuezueyyy4aN7PlHW/CGyHIBsBMAH2Q7UNjBgV9xO9SplKGqqvpjE/yoLUZErMu99vnNkiQCiUAikAh0EwJJTLuptbOu/YqAHR7sBrD99tsHC6r9U4855pj6U6u+FObDEpdcckn4apX9cd3j12lPXAv1LNzr1wL1MTELAJFuZJoFDgswqwAAEABJREFUtY/J5GOJQCKQCCQCnYhAm5U5iWmbNUgWp3MRQFS5Aay22mrhIwD2xbUbha3ENt1003jve98bVsSzrlpYtfXWW4dpdLs18GMti6sGe1rdFmzKaCcDm/G/+uqrndsIWfJEIBFIBBKBjkYgiWlHN18Wvp0RQPRGjBgRfFFtDbbOOusEAviZz3wmfETC6v+NN944fGyBv+fCCy8ctrKy1ZiPR1ichKQKMcD/lNMeuzbj90ELJHmAsxzI5DPtRCARSAQSgQ5FIIlphzZcFrszEaiqKhBWe6xaHY+I2vDep3Lt3+vLTKyufFhZVH29ClHlAnD99dfHfffdV384wtfD+ttntaqqUBZ79H7xi18MPrSR/xKBRCARSAQSgTcgMHAXkpgOHLaZciIwRQjMMMMMsfzyy4cPNthH1Z6qSOkHPvCB8GGH6667Lnwo4Jxzzqm3rzrhhBPCV8y4BvjKWX/tSerDA77OdsYZZ4QPDUxRJTJyIpAIJAKJQCIwFQhMMxXP5qOJQCIwgAhYQGV6f6211gr7jvJZ5ZPKf3XDDTeMJZdcMl555ZXwAYAjjjgiLMI69NBDwxfLfPnMJvrcAIQpKaavnMnDZ3ttheXzv1PyfKfGzXInAolAIpAIDD0CSUyHvg2yBIlArxCwuApZRFYtpEJOd9tttzjyyCODFfXUU08Nn+n1BSsfAlhsscWCD6utoHw+l98okipMLkNuBnvttVfYz5UFN8np5BDL+4lAIpAIJAKTQaBXt5OY9gqmjJQItCcCVVUFf1Wkda655oqNNtoovvSlL9X7qtpD1aIqHw2wZdWWW25ZuwkcddRRtVXVdlYPPPBAPP3002GhlR0DouEfX9j9998/WGw9M27cuOgNqW1IIg8TgUQgEUgEEoEpQiCJ6RTBlZETgc5BwEr7VVZZJVhP7VF68cUXh48D8GO1mT4XANP+dgg48cQTw16r9l299dZb43e/+13t16q2dhJYZJFF4rTTTounnnrKpQwFgfxNBBKBRCAR6FcEkpj2K5yZWCLQvgjMOOOMscQSS9QfAEBW+azaXN/XqmxltdBCC8Xvf//7sOjK/qtlR4Af//jHsdJKK4XdAvi4Jjlt3zbOkiUCiUAi0OkINBPTTq9Plj8RSAR6iYCvPVl9zxd15ZVXjk022aS2rpq2tz2VL1VZYGXV/6677hqsqr/97W8Dke1lFhktEUgEEoFEIBGYIgT6TEytEq6qKqoqQ1UlBlWVGFRVZ2PAp7T4qyKtCyywQNhL1RT/nXfeGY899ljcddddwQ3AdlZV1dn1raqhKn/mW1WJQVUlBlWVGFTV8Mfgne985+AQ0w022CAsrMhwWOJwWGLQTe+BVfr8VLupzlnXfMdTBlIGUgb6JgP2xp4SZtpni+mHP/zh8L1vIcPRicXRiUG3vAf77bdfvP/970+ZT5lPGUgZSBlIGZisDFh0OyjEdEoyybiJQCKQCCQCU4VAPpwIJAKJQFcg0GeLaVegk5VMBBKBRCARSAQSgUQgERg0BIaOmA5aFTOjRCARSAQSgUQgEUgEEoFOQCCJaSe0UpYxEUgEEoE+IJCPJAKJQCLQaQgkMe20FuuC8v7tb3+Lq666Kp588sm46aab4r777uuCWmcVE4FEIBFIBBKBRKAjiOmrr75ak5Nbbrklbrnl9eB6aUJ7LDbee/zxx+M///lPud1Wv//617/innvuiY9//OMxyyyz9GvZ1Nm+kxtuuGFN7Hqb+C9/+cuw15iv/PT2mf6K99BDD8Vzzz03Ibm//vWv4StFsPnFL34Rc88994R7g3UAx4cffjh22223WHvttQcr28ynDRD473//G3/+85/j3nvvjVtvvbX+femll95QMgoU2RXn0UcfjX/84x8Txfn3v/9dv4O33XZbeL/E9cxEkfKkIxAgE3/605/i7rvvrsegBx98MP7yl7/0WHZj07hx4+L2228P/UhjRGnZF7iMV+TnlVdeaYySx22OgPHhD3/4Q5R21MZ///vfJyq1cd4HSbSv/Z//+Mc/hrYvkYxz+pgiB42/ZK3E68bfjiCmL7/8ctxwww3h84nve9/76i/PfOc73wnXS6MhemeeeWasvvrqcdxxx9VE1sBQ7rfTrwFM2VgD+7tcVVXFe9/73thyyy1j5pln7nXy88wzT9hrzGcpe/1QP0T0YtvE/eqrr65T83Iee+yxce6558bJJ58cY8eOjZtvvrm+N5h/tI/BRaeiAxnMvDOvoUXAAOLrV6NHjw4K3vrrrx9f+tKX4plnnplQMB8Z0N/oa77//e/HCSecED/4wQ/in//854Q4+qxDDjkk9FXf/e536y1VTj/99An32/YgC/YGBH7zm9/Epz/96SAT5MFX0k499dRagWmO/Lvf/S6++MUv1vtbMxLo0xrjmAHafvvt63HMV9R8rOaFF15ojJLHbY7AAw88ELZA2mGHHeKDH/xg2D7T1/IKJ0FKjV36kYMOOig+9KEPxac+9al44oknJtSMskoOtt122wmysMUWW8Qqq6wSlNgJEbvwoCOIqc8m7rnnnvGZz3wm3vSmN8Xmm28eyIvrpc023XTT0Am89a1vjeOPP74eUMQt99vpd4YZZojlllsubFLe3+WqqqoWbB0oi2Nv03/HO95Rv2iLLrpobx+Z6njPP/98nHTSSfHUU09NSEubstwiyAsuuGAgzPPPP/+E+4N1QHaWXXbZgMtg5Zn5tAcC11xzTd3PIJtIp4GHkoR4GnBYS372s5/FD3/4w9h7771rErLeeuvFGWecESxpavH73/8+EBeKssHJHrfeSdd+9atfiZKhQxCgpP70pz8NX0I77bTT4nvf+174VC9lxYxOYzVYyLSz+DvttFM9Fn30ox9tjBLkQToXX3xxCN/+9rezn5kIofY/Of/882PFFVeMr33ta+F49tlnj8997nP1l/GUnnKrL9hrr73i61//enzyk58MyqnPO+s/GKcougceeGAtA+RAQF7J1kBwA+XqlNARxLSAOe+884bPJs4222zhk4nlevllIZx22mnrDqRci4i2PUSi27Zwg1AwysU+++wzUU4I6dJLL11roe9+97tDp+438l8iMEgImKI98sgj69mX1VZbLY455ph6FoIFlPWcVcQgstRSSwVFTp9kkNInGagUk2sK68gSSywRb3nLW0K/9K53vSsQW9fFydAZCCASiAcLGWvWmmuuGZ///OfrcabM9KjJs88+G76Kdvf46X4zPlyAKNrulUChedvb3hbSMLMlZP9W0Omc30UWWST22GOPWHnllYNRjMJpKt8sqHd8jjnmqMeu97znPXUfwWKKbCKspvO5bjC47LjjjrHCCivU/QtZYKSh0Ew//fSdA8YAlLSjiOmU1J+PGE2FxYK1wzQMjddActlll9VTbjQcvowIIovGJZdcUmvCVVXF29/+9rjyyiuDsB166KGhYzLtYnrXdNyoUaNqYUKidEI0IP5jLCybbbZZnHLKKbUPKevoj370o9r/zK80CKhPujZP8TTWz8Am3YUXXjiuvfbaOj3POaehcV2gbXlBWGtoZ57nm6Kuu+66a5hSUi5lMnBK56KLLgruEAZMFh/PGGxZAaTvxWIh4Pvixdtoo43ijjvuiJ133jl0sqadYOA5wYtEK4TzYostFlVV1S4EXkTWA3Gag45eWeaaa643WI2/9a1v1dMavi4kDZrmEUcc0ZxEfa6cymu6dK211qqt0CxYfH9E8PLDynSJlx5Opl+Lv6C2PeeccwL5UPdlllkmnEvX870J0kCwR42XB4ON9mUB8ax7sNfRsL5+4AMfiMsvvzykDwNTOaZulE3e4rEiuw/zbbbZph4ADWbuIe2mjrTrBRdcEPKkrJ111lm1fMkzw9QjwK8YkSwpGSTI/qyzzhr/93//V7sQIams+Szr4vGDFhDWMjAZeLyLpoG9h9p78cUXr9vNM8MrDN/aaGOuUdq+1NKYQR4QENe0uf6aL6F3s/SF7pWgPzj77LPD+KH/19d4l8v9/O0cBIyHFFIlrqqqXhPh/R8xYkRtPNN/MJS5L3DVID/GYb+Ma6uuumod130BaTWur7POOk67OgxbYoqc/PrXv64XL2hsAz9/MNPbiA7ihfwY6A34SIvO59JLLw1TyK4jO29+85sDsaEJm4K5//77wzQMvxGDE7Lx1a9+NcaNGxeIEG0I6eL0jqh4Vsd23XXXxRe+8IWadI0dO7bWtpjye5I+ZJEvkpXppv5o1Tq++eabr7bg6AA/8pGP1NMITz/9dCCcBj9au86upF2uWRymTAZT5Mx0gfTkL458iiVHJyuon3Skh/wddthhwY+G36XndLQGcf52pjlhN3LkyNApUwbgKl5zkJ4FIeuuu27zrYD7mDFjwpSHPJF3CsQbIo6/oF1ZVE21Iv0UCJ0+BUP5DQLcOg4//PA6Pb6sXEIoDXwB4cGvlhxcf/31scYaa4RjdR6ffK/+83/1rLrzJdThlActJLvwwgtDfZBLmJMjMgQzVhdWNjgjt9KhDCmbdlQ/ckqWyRsfa8SHdq7TU9etttqqlodHHnmkZJu//YwAJcJgwjrC+uldIcMUK+92Y3bazX1ElhKn7bSRNuOXRvZmmmmmxkfyuAMR0L8walBqFV+b/+QnP6mtY0iJMUIfyIfefUGfThFleUVqTNtSpPXf7mfoXAQYExBTLnrattTE2GphlL6aQYgBpNxr/rWAkvHMGNp8r9vOhy0xZUnkoE5ITL/oEBBPllGDOEJhgDjggAOCNoO4aXyCgZAaRFjWEE2DDWLIAoJ8mopBvlhDOcLrcMR1HUnSMemw5MlPjbUMaSGYLJDyRYRNBcqzVZCXPJWfliU95JqVzGBokDRN4EVw3QCIKLKECiVNmr3n5Sm9kg7LMQItHi1PWjpa58i4dF13zZSU+qobPJBF8RBZU1nwEhfxUmdTnTATpzl4HkmXvzZqdR/GCIB6Nt9vPEewYUgBEJcVghXYr7LBXMevXNJjzbSYBYnXCchH/XQWcIIpDMlDYz6TOkZiabqIJqLy2c9+NljYnLPYs3SSKYSVrJATJBb5ZGF3jRwpo+eV2/NkhkUGwYGpaWD4k62SlmdMIymzMkyqnHmv7wjY4YMCQXHxPpolmFRqZjvcZ/k48cQTa78zckHevNfuZehcBPRhFqfoE/W9akImGBDMrJlR4pte/EzNfojjfbY+gmuIvouhwjhkDHI/Q+ciwMhh/NBPN9YC3zDuGAuMm4wS5KcxjmPKL2OTMVH/71o3h2FLTDUqgmUgMZD7dY0/hw7FNDNiwAJpKpVFC6Gi+RhAWCsNMAiEhQym7FlNEDuasSlU1kPar3Qbg0FMnuIjhKwrOi1EosRDpJCzct7Tb1VVIa1yHzFRL0SqXHNejif1q2NsvI88NZ63OmZhbkzfS4VciasD9gsvv4KOuaqqesozWvyjALAQGrTVpTlKVVXBDcF1FmG/rQILRekMSocEmFYAABAASURBVDqwRvRYvOEtjoVU5Xn1QEwNIp5FqBFohJAl0mIG7V/i9+YXaYcHMsxtQP25IGhzJNNqTeRXMDVPg2YFRThZR3VaFCVWfDLXnCctvNSPPLlv+rAcZycGkYENZkRs7YZsTElOZODLX/5ymCHh3mOldpmlmJJ0hnHcjqyaMYFyPXr06Ch9Kr9kCi1FWN+28cYbB2WE0cIsSXNFuYqxqFNcL7vsstAvNsfJ885AQLszNpg91M83ltoso3HBPQvlWNIZEhrjOMY9jBeIbenvXe/W0HHEFDHSMfS1waqqqv06ENWqqmrrlo4EUUFEabcscASEvyOBYYov09KIhWlrU8j8WE3HxGT+IW6Et6qqiWJW1cTnE93sgBPWAkEnjZwh+iyR/Ohofs1V0EkjmyxPLNJ87kzpmxbjh0eb9Ex5MQv5cq05kAMBts33nMuLnCiT8xK0a1VVtQzIl9XYdh3IoTYlFzEF/5BEBJPCwh+WLKkbuZE3gmzQEpwrs9WZftXZFD1XA24NFKYpyDqjDjAC3nXWdRb197///RNyo9xSLFk5tKMbFBqBUuq+94FrCVJCNriUILf8wim2nsnQeQh4h/mQkwfGilKDqqrqPoViqg+pqqr2nzejw/+/1XS9eIgpGdI/RP7rOAT082ZF9OOtZkMYQ4yHlNL9998/uHeRoeaKmvFi6Mkx4DVkOoqYjhgxol7VSrtEKl6rwut/LRxhiXr9yhuPdAICS6lBBPkx1U2LsZAGGTV1amqbFkSQWDqLhdJiFttS8fezohwxmZBLDweEkybFUtdDlI69zIHfgitTFvwkWYmQddbL5krpnGFuGguJE/iRIpGm3flkNT/T0zkfS7jyJ20mp8ixAcL0Pb/NxjSQDWXT/qykrB7IgkUqrlXVlCsLrLK2vWINY11XL3KlzZHQxvwd80dGSuWrjGSOrzJs3M8w9AgYPEyzkjOEsrFE2kyfwI2D8uMexVOwoME5RcfqbG5EzvVLFBDPUWRcy9BZCOhnKOEs59zCGktvZon/PoLReN3sjVkNMtN4vRzrp4xr3MDKtfztDATwDVZQsyGm8SdVau3PPc4YQyFpjquvcM3snd9uDx1FTGkkNFDEoxXJM8ATksZGRUKRznLNYMLSQUiQB9dZ96SLWPED1VGwfNFiLVpgzRJPsOJSRyM+AaPluN4YkOYyYLmuw0JemPT5q7kmSN/v5EJj+ScXd7DvWwhl6h1GrAgWd7AYtSqHDt12Oo0BsUXgpGGf2lbPtbqmjewEgABoo4IRNwFWUFYuOxhwt9CBlDQsqkIOKB6sYWSBRct9ZIS8OO5toLyQKR0PmUHKuRAgv9pc2RDgUj4dGUsx67DOiLySJ/LC4tacb29lpPm5PO87AtqCfyCrJ3ePkpLFaOQNCTFVq/0oVe7rj5CSQmJZVCkaFmC6L+gHEBC/zjP0DYGheEo/b8pdX8V9p5SB8kLRtGCFSxhFudzzzps9MUvU6I5V7vsV33Qvlx3nGToDAUqK/Y61q/UApdQW4Wr3cl5+jTNmWLma6e/L9fLLgMJAps8o17r5t6OIqc6etQ0xZWnjq6fBnXMgN23KV6+xQZENjscsVCx2CBACUSwb4rKKmL5HKE3nukYDsmjFL+FzTUBo5CNNZbFVDxcA2y0pD9LBcqLDKqRCp2N1PsuiaWwWE35r4hPikob0G4NBUJmkWa4bHFklOd+7Jm/+suIaSOHBV4W/og4T0WLF40+KRHrG9IPFUo7F8ytN5S0WPr6XBl2uDY7FkZ5f6euoPQN3dTdIK5uBGD7ui9sYvJDIWmPgIkFBoCnSJhvjT+6Yfy8fryOPPDK0pxfb9CmLN0u2Dl/dxdMmOg2rI62GRxwpFzoLixCQZYoDvAxAN954Y70tEGy1W8GpuUzuW+0Pf7iapkWKKTt2E9AerLIsZyuttFL9EQNkh0wg16Z3dHCs8PBFXA1WcNT5FYIkX4RXeuJrG9e4QshX+ViDXcswdQiwipFrShbLGOXBwjPT8mZOyLH9B71DLP3aiQJicaGBR+6m5PQznrEyWxy7RGg3voXiZOgMBLxz2tmuLPzQyYNAofX+Mpjov8ygUXwpw/o/7zSluIxJFj3p48y6uc/Iob+xE0hnIJGlLAgY+82ykQnrCMgDo5Y2JS/a2CLkb3zjG/Usr35dsOtMM/k0NunTyVNJv9t/O4qYaixEkUWMNcw+m851CKxgBhLkVbwSCAELhW2CaK5IBMLA2lni+EUYTUcjSc7dt1cZZ3bnJUjHinqEQWeE0NCYaMzIImGlOSM2hNdzVVWFfE31mtpRTlM4VlQfffTRYaU+S4q4JejUkBxpy4NfE9KMvBTSRRuXhsEOKWVx1FFa/adsOjy+s4gbvKThvrSRYpZNRB0x4wOnbMotHc/AkpXTPqV8ZDynbkgYvxqEntVSORA+1wy6FhgdfPDB9W4HpT6T+mW9hsek4rS6R2FQD35aVVXV+5FeddVV9Z6z4iMGBgrYsOjaQ/T666+vfb/c545hoRIioq62E0MeEQ9Tr+QKEVFPmGhfzzUGBJMPEQKCvCCkHNyrqqq3zdIZWfQkTR0PpUS51ZlsGZhYXXffffd6Q2aWV2RbGlwVqqqqN+3WdnZ44NfG51mHqLwGTCTIbIF2byxbHk85ApQwsq4NKHOs4QLyz0pKmZCqdmbtp+yRLQsZPUfhcV97W/xCOfIuiENWtZf3V5wMnYGAWS4EQ9syBJAHgdED0TBWVFVVfxREH28Ngr6AIcR2cfpiNUVgGECQW3259Cg4ZcwRJ0P7I+CdN9umj9BfkAXBjJdFsPptRg99tX7cOKRvZhAxDjfXkFEHpzDWNt/r1vOOI6ZVVdWb4BuYDfqsiSxhCJZpluaG9NLTZmxrhIAgI7bnaY7Hcmd7qcbriCnrXuM1RARJQBqla3UlP1RTeKwrylMCH8LGZxFQpFpZ7G2I7IhjhX9jPMdIZUnHL1Ktc3RcAjJejv2y4rLcOC4B+SzHfk866aT6m8+OBZZdZNqx4KXzArHoOhdYRA2wyu5cMGWtk0ZMr7jiiqAhwgVB8jIieqyV6jKpoFNH8r2Yk4rX0z34I8XKhKgV4lDicy9ggXRfnZC4cs+zLMTqZYDQkcCDjyjiwfLhOQF5REDLs+WXJZwlDAEWDy7IbLmvI9IuZJWrSCHgOi/EVIel/MplBbd8WFRLmaXpWPuTG+cC+Ud4lNe5gPiWfPO3bwh4v/UT8GwOLF+NfUeREcocmaFwNOZKyaDI2vFDHD7UOfg0IjSIx1ORFYWdQtssD869w41Jjxo1KrzD1itQ5BvHD/LyzW9+MzzHvYeiQ0Yan8/j9keA8UIbtgoW0hrT9OfaWBzvv/7BeNOqdoxixuVW97r1WscR0ylpKBrtlMTPuFOGACLFFYG1CKlDjHTMyKCp6+aBespSz9iJQCKQCCQCiUAi0G0IDGtiakqFj+a4ceOGW7u2RX0Qf+SUZZnlkfWO2wFLMP+anLJsi2bKQiQCiUAikAgkAh2DwLAlphzNmdBZ8kwxmw7tmFbpkIKaquJHawERvC08slCIa0DZL7RDqpLFTAQSgUSgCYE8TQQSgaFAYNgSU6v2rVgugf/nUAA8nPPkS8mJnw8qnPlh8aWx8nQ41zvrlggkAolAIpAIJAIDg8CwJaYDA1dnp5qlTwQSgUQgEUgEEoFEoJ0RSGLazq2TZUsEEoFEIBHoJASyrIlAIjCVCCQxnUoA8/FEIBFIBBKBRCARSAQSgf5BIIlp/+A4fFPJmiUCiUAikAgkAolAIjBICCQxHSSgM5veI+DTmhZT/fGPfwxflfLlld4/nTETgUQgEegsBLK0iUAi8DoCSUxfx2JQj5AtX1jq7xXs//nPf8IXjuxC4JN4va3UHXfcEe9+97vDV5h6+8xAxXv11VfDHqm+HuWrXtNOO+1AZTXJdH25yudafUpwkhHzZiKQCCQCiUAikAj0CwIdQUwfe+yxGD16dPjmcFVVMcsss9QkyvWCgu8P29TdJ0h9Bs5325Gbcr+dfu37ef/994dPXvoGd3+XDT7zzDNPTAmh84nMBRZYIBo/udj3ck36yRtvvDF8jm/22Wev29KG/E8++WT897//DWTQ/TvvvDMefPDBeOKJJ+Kf//znpBMcgLu+aKUM55xzTl2mAcgik2xTBHyU4yc/+UlQ7lZYYYUQPvWpT8VvfvObWkZLsf/yl7/EqFGjahn2zs0666zx/e9/v9ye8Ot993lCH6KwrzJ5n3AzDzoCgVtvvTV8ZnLmmWee0N4zzjhjTD/99PHrX/+6lgvGhiOPPDJ8+Y7M7LHHHvWMT6kgo4F+f7vttqvHsiWXXDJOPfXUIG8lTv62JwL//ve/Q/sed9xx8ba3ve0NhTSOn3HGGbHsssuGz8wus8wyceGFFwYjS4msvxBn3XXXjfe85z2x5pprxsknnxyvvPJKHcVMoU+a6ksaAwPNeuutV8fplj/TdEJFfasYiWO9QjwNGL5F7Hopv83dr7nmmtBx+ArRAQccUHca5X47/RK6DTbYIJZbbrl+L5bv9Or4CDwi39sMbIh/+eWX151qb5/pS7w//OEP9cvoxfzsZz8bXjgb9ftWsJdbx639xo4dWxP3u+66K37xi1/0JaupegZRX3/99QMuU5VQPtxxCCCgZHLrrbcOXzNjtTeomIloVHavuOKKWHvttePYY4+twwknnBDrrLNONP6jaJFzX0gj82TbTEljnDxubwQQSuRTf6AdS3vvsMMOsfrqq4dv4L/wwgvhIyN+r7zyyihj0f777x/PPPNMXUFy5d7mm28eZ599dt23+BjJvffeW9+f4j/5wKAhwDhCBi699NJ4/vnn35Cvj/ngJDvuuGMcccQRtYHnwAMPrGcgGVwQW+Prj3/849BP3H777XHaaaeFPcB/8IMf1Ok99NBDtcJy9NFH1/1JkbO555479EV1pC750xHEtLSFjp0VkEWUtlqul1/T4rQLVolyrZ1/CVw7l28gyoZw7rfffqFD3nfffeP000+vrade7N/97ne1Frn33nuHDt2LffDBB8dHPvKRgShKppkItESApf6vf/1rvPe9761nHVhI3ve+99WWsWIBQTgffvjh2GmnnWK33Xarg2MfnSiJPvfcc3HQQQeFAemoo46Kj3/847XVrdzP385AADE13jCM7L777nVbs37rvzfZZJO6EmThl7/8ZSAms802W4wYMSK23377GDduXHzrW9+q47CkjR49OhBTz+nfzBrdfffd9f38074IsIyvtdZasdpqqwXjWHNJGVwQSuPWYYcdFscff3wtA2ZeWEIFM3C4C0WGAckMr2OGFzJmlu5jH/tY7LnnnrWM6Vc++MEP1n0QeWnOczifdxQx7U1DVFVVN6S4hIKm8Z3vfCdM9c8777yxyiqrxK9+9Su3a/LDeikQprPOOmvCNI1rF1xwQe3raEBxzhpCgGg9yy+/fB13pZVWimuk3vw5AAAQAElEQVSvvbZOz58bbrghdF6m7gipzosm5d6jjz4atOySloU9rrcKBkbllz6rIQ175MiR9bSiqe5nn3029tlnn1r4dXYGQenQzE455ZRA6MShrYlv6lwHeNVVV9WDo/LT2jxDG/RysAiYsnLNFLrBdKuttqqnMFipdaKuuV8CPExfcQNQrxIoEQb4Eq/8brbZZmGQp0C4Js0VV1zRdH0o+0knnVS//BtuuGEoI+vvLrvsImrLQHvVdrAx1eb5xoj33XdfeKmVa6ONNorSFiXOLbfcUmPqvvxgVe719pecLLjggjWu2vyiiy6a8CgLsDpLn5Wc1l1uIjc6H/fmn3/+WtMu03rjxg9orP60a5o0/GFsGlgc7UgB81yj/JW087fvCLz97W8P7wpZId/w5mpi6rW4urjnPTOQaG8W1eYcvbOm9lnSWFaLzDfHy/P2RoAxRP/ZrHSQiZVXXrku/EsvvRRmfIp8uGi2Rf9mut45uWqcxUJwqqqKVVdd1e0MHYAAgtqqmKPHKxwMYwin+wjnwgsvXI9rzr37XH0uueSSCRZ0MsMYY9bQc8bMpZZaKqqq8kgdfE1R30GO6gtd8mfYEdPSbgjHueeeW1srDOI0ll133bW2eiCOplUQGiRpoYUWCr4dSEJZ/MM/yKIXgogAOkYSaMY0XZYQ5I12zHTP/0RA7AgfE717c8wxRzzyyCNhugYptcDot7/9bWy66aaBcJbyNv8isdwXkGgE1dSyge7FF18M5EcefFW++c1v1sRYXQ2iCKZpJKQQKTW1pP4E3C8Cq6OcaaaZamulfJE7Vh3TlsihQVZ5v/a1rwVN8Oqrr67zRBLHjBkThdCKqyzyVG9TEvI0gHuGRij9xjDddNNN9OKJr9zcGpB46ZniMP1l6pT/DT/PxjTK8VNPPRVrrLFGPZWGvLG0apszzzwzpKk8NE5tJS7sDQKIpPtIq3NywV9ZR4I82g2g5DG533vuuaeelkNo4StNRN9z/8/enQDbUVR9AO9OfWwiGlBARCEgIDtBZBcIO8i+SRSRBBRZRIIgi1CQiKwi4MYiFgRZRBEIAiUlW4LIIosohQgiBoTCjRIKEVQsv/ebR4d5l/teXpK33PvuSaXf3Jnp6ek+ffqc/1lmBp0YNYA7gGqs8or0xbh4jPECPmI46fdNN91U5RwBm9OmTav4lZFT+FG9c889t8p3NI/ANAtbO+4ZZd4psNJKK1VeLcadNWftWEfkAHlAlihoj2/IjV133TWZe3OsB+aDActgkXNo/q0pa835KO1FAeC03mNrGAjl7HA855wcIy/tK8BGzjkVeZLzm4ADILGuyQcgRv0o7UsBwLPee3KA4QFfOId/OEY4UDbZZJNEtnOYMXjoHNeqj2f8VhjEd9xxRyJb7HdSGbHAlCULgGIQoMfDCwAC7wUl8bOf/SwtscQSSf4XsFeeYGfl8tYBRsJ2rqeUACAKSz15rEAOTxfB4uEGwodHC8iRhyYMeOyxxyagEgil4Hj0KDvWz4QuC4t11BuzSZ5mSTkP4AkRsZx4gHlTeX4xujrGSkEClJheuMF1CnC82267VQnbwgilHQtG+FwdVry2hJ/sC1uhgQeoKNLx48dXnmZjA+iAUPXQCIi0cIDKcePGJR5W9CCk1elPAdzdDz3R24JEY/Tv63qAlXIAmAGGPffcswLQ6ExBCKcApfLAAPFjjjkmjR07NskfNI9oBvCbW3QiJNCQ0ujrvvVzPGvANuGDvsCi3+bIb4ASr7CmJ06cWD1IJU+Jd4XHVJ+N23wCMcALz4x5pfReeOGFdPTRR1cpDvvtt19yL8fwnXHZ6jOjqN6v+D33FDAfUk3wCtDvN94wH1o1B9Yh44sRyFizFo4//viE99VhKDEOrXH1Lr300mTNM0Z42tSJ0p4UIKNEPshHstwo8AaAKeqGFxguHA90BxmjTimcFoceemjiaSdfOQvKudjOMQVa8gLRSh5SRmkBm3Q6/EGH0qkcOkApfdFsEDO7omY550F/7qPZvYf72IgFpggLjLBUAAZbxwAgOWM8n3I6ANExXSFyTAIIEToECW8XsAkkATG8aRQSkOuJf4KIUpo6dapmexTAotQnvIAk7QGQpSLwB0CV/d62mFpb5TwARnECk47lnJNx+j27Ypz1Ov0BM0LFQGK5Dn3Qwz6ha1tfWPpq4fGmOje7QmlbwBQ/izHnnABc15kr22bF3KA/rzGaqIPWvNqu52m2sHm1nFOMA4h13HtSgXMPowDVUjAoDH1Xt79FqgU68qYB+uaUYQDc8qBRVLvuumvatavgG3ThzQeEeT8ZLeh5xRVXVG8gaLwvYVbGh/+cZ6iU33jBsSgDRwE8wIttrcsrlHJjrhhQjXd5//vfX6XUMEIBEUavOowHhVEoDUMKDCOJRzwefkKh9i3WMPnC4CzrkNOCgcIYATqk3IhCAZ7kTH205BQnA1khxx5YqZ+P3+1PAc4HOk00toyGsUI+SP9h8NJ9ol8cWaVOfctJwVlR5H/93Ej/PaKBabPJAzopc6CUApKQzjslFAtoUUiEDA+XJygxDQYRntYeQAGISWwHjOSdOt5X0S6g4t71eu5d32+337xBwB6gVfoub4YXob4gy7nGrXAnwSz8DqiX8wwJv+Vk2TYrjAhz0xsNgQJeS3NVv77ks/JYMlCAPIoEMAREcn4z3Fa/rrffeEU6BQuZ13nChAnJWNyfJ9PrQXjLFKFdior3HC+gH8MGaEVHHvzU243i+JBRgCFp3ngzvvjFL1YPr5ABQCq+aewIo9eDEWSEde482aIwXBiO5puXVVTFU/7hJUOl9iycFfihbvQCqHLZGbje1iC9SzQHv4hS1UfKiybSwWMqr1BkRfSkXid+ty8FzD+ZgB84W8pI4AUOMPpO9NYzBB6M47AodcqWbsNjY8eObdm3C5W+Dsa2rYAp4U4oAI88d40EATZ7Ayr1uq6V+wm0YCBhVAoFIwhNC7lSMsCKJ+l4RUaPHl014clLuYyeyjzttNMSi6Y60ccfXk/3AVT6qNZ2pyy6yy+/vMo5Bc4AL7kzQs8AfG8DQn9ATn0LE0DsrW5vxykCdJVHWnI6S13hVLyC5iXtoJyzpTB4ST3AIuUCYJDfufLKK/fIf1V3diXnnIBdwsg77uSZSnnAW/oItDOE6oXHBTAR5sdP8oh41vRrdveL84NPgRkzZiQGltAsHgJQ5aMDHY436wGjgieszCEwqjCgSn3rZWyXorFPjtlGaT8KiLKQ+2RIvffkEaPUWhdF4dhgmIjS1Ov5rS4ZycFBHjbKMHWiDB4FBqNla9ozB9LYpP9Y7+U+dD9gypEhoko2iLKJmHmWotQrWw4Mzg0RyHKsk7ZtBUx50gh/DwbxajROFHDA+9l4HMOUY7yXBIEwDPDgOGYBRIFSgJXAESIWYgU26l5R+4TPuHHjqtdGcM9ro154SoCPckzYfcyYMckDS5itHAeky+++tvX+91VvOM4JM3idE2MBCENDi62vvsixE8ag8AlxdXk3pVf43Z9ijsyhB7aA00Ij4Vb7PBFo7kEnQqG0KbxOqXiiXQ6quSoejblRDgwXOcoEjfAMUC5cg7ekQXifrLSB0j+5aR5sQiuAVAiYoMIv+lL6Wbb95ZFSP7bzTgHeK/xYQCVwitd4O3trnfcfTzJS1OGJJ1Okh9hX8BelJTdYXceitB8FGOGbb755rx3HP7xgeIiXvdeKXSd4xjwQKULXtRv/25QC5DsnAx1Wf4sMAwVWsfY5TADOIufJfc+E0KGNw3ad+lIGG891wn5bAVPeUAsdMKXwPbwCZEo25/FikQAG9Ymj2HmxeESBQtcDLcIppR6Pnaez5ZLxYjlun7AQYq2HpSkUSshDTdqVR8SLIhVA7iLGxFAAEKGjLWBavoljQji8eKxpIArDCu25Rt16AYwBFkCnHDdmzA3cOebevI/qEoSYXv6lvhCQ6gDjngL3QIZ9CheY8tsCsNWm/noozL5r7KO1346V9iw0gNw1nkhGf2Fpyhu90Md51zQW/WVNMiK8SWDKlCnVa5J4GdG/sX5f+96HanGbc0/z2/cwm5A8UCiXRy6Y1/oYvzxfOZ/qWfC8XECrpyMBZfyDfsCuvqAT2uozejbrC3DpwTr0V1/ojqcNz3jAAX151z30oo/6B7ToN4GEb4FbrxVyL3NtDtBUe4SdeXVv86p/6uNrx/DQq6++Wr3Si3B0LMq8UYBxi5aiAdYAulvvZIbIiX3GmLdWOG9NOi90J1/a3c2/t3CICPC0mkuAxrWMEXWitB8FyFByHJhs7D05iQ8AEzLQy/h9AarU8xQ+eUlX4C9hXVE6uqzUiW3rUoActtbJYPNb7ylHA9k+ffr05H2m9JqHbekGc81xQa6Ixsgz1wbZjV/Uq7flt3Y4T4o8cayTSlsBUxMjLALQAEzCJMIhPBAU+Ze//OVEIahXCnc6QAVoAk4YxBcVKJhSR1hFMrqHE3hMHVdPzqBj9ksBMHj5gCFgRL4IECY0C9x4PRGw6WGJyZMnV5cJ6QK8HoDwgIzQMaDDc+dJa+56gK6q/MYf4M14tA1gyUNipVN0vG7662EL4wWogGRhIQ9aeOqcAGWNWQjCxPqnD87Lm7v44ourOwFxQgquBTgtKCCRUgXqLB75c/Jh5E8yBPRBG2ir3/JEXa+YC+FxD3gAfdVNan8ob15MIX8LmKEgJcK9ALpa1dn+9OAa4S7VQk4gYYHujuublAzKAMBgZKApkIoeGjeXrjU2IRhz4TrKwhx6+AqNgVT91kfXNRbXMnYYIMCl0IyQLk87IQSAyjEl1NCFhx6N5JZKF9EvD0h40Al4ZkRRYNrlXUVT/dY/QEj75hIPSiuhEHlr8UFj32J/zimAD0VGpHrgG3JDKwwa0RLzST7gG3MJoFI65BH+UVcqiTkEQm15W6Wu4EVGnDpR2o8C5Kx12wgYyAlRNDLeureu7ZP9ZZR4hhNCNM6DT/SFtU/+lzqxbU0KkN2bbbZZoruASngCDtFb0UJ6lW7n+KDTFBE5egBGIRd8WAFeoNc9h+ENNuQGI1c79YJP6G/YpH68U363HTAVIrXgJY4DUpQyoAZQCZk3TpwwHKDlvaXCaEIsPKSN9YACyr5+HLAEOOrHKK2HH364emeddikZYATg4A3lmQPeAAggqVyr315fxcsIlAIUHnwBMrSZc8+HbjA2L4u2WGrq884BqryoPHNAJU8rEKV4B6unAd271AFq9Mli0o50AiCXx03b+gP0AJGljodzeHRZeo49+OCDCd0Acde4Fvi12IBs4JcHlPdP26xEgLZ4dQsNbFmC2lX0uRReCIBSnf6WnHMCGtxfe/oAAOTcTUtz73VM2uYhBgwsdv12D55LBo75A7QBf/0xBu0SNOioAImOua5eGC7AMePHPQgmXnV1CBWAUygffaUYSEfJOSceU4ILLSk7oIb3HS8TWBSdMSmuZzzgm0J/hgWPmBnIswAAEABJREFUDD4wR+bWBxLcN8q8USDn7rxhRgWDjtELQJR5BTCsW550SslaNa/mu35na55RyUgkq6w9XpCcu/mzXjd+twcFAAuGeGNvyWKGK1lkreKVnHvOs/VJJpLH9BGdwTBubCv2W48CnEjkMP1LBpMJHB96KjrHmUBP0B+lkN10KUNWPfrI+9LJdrgFjuAAYsQ6Xy+iLCUtqH68U363HTCdk4nBIHNSP+rOGQUIaIAI+OIptsh4VQF2XgXepTlrMWoPIQXiVkGBoEBQICgQFGg5CoxoYCpXjxXDm9VylB8BHeIh4AXy7lBeQ+/wE57iNZRiwGswAoYZQwgKBAWCAkGBoMBcUCAumRsKjFhgKjTrJcfC2h468ZWguSFQXNM7BYSihZ3RVq4Mr6mwtKft5VAKZfZ+dZwJCgQFggJBgaBAUCAo0JMCIxaYesCpnqPpScmeQ4+9eaUAj6jcXg8HyZuSdyP3VN5tyeOc13vE9a1FgehNUCAoEBQICgQFBpMCIxaYDibRou2gQFAgKBAUCAoEBYICg0CBjm8ygGnHs0AQICgQFAgKBAWCAkGBoEBrUCCAaWvMQ/QiKDByKRAjCwoEBYICQYGgQD8pEMC0n4SKakGBoEBQICgQFAgKBAVakQIjqU8BTEfSbHboWLyo2NC9nN42SlAgKBAUCAoEBYIC7UmBAKYtPm++6uPbykcddVTytZCB7K6X4/uilE8q9rddX73wuTRfu/Hd7/5eN5j1fEnDF3p8nUn/BvNezdr2rtzHH388+dScr0w1qxPH5pQCUT8oEBQICgQFOpECwwpML7vssuTzoM3KxhtvnE488cT00EMPdeK8zBrzvffem773ve8lr2HyGbNZJwbghy9jeSG+F+XPSXMAMrAM2M7JdXNT95ZbbkkbbLBBxSe+JuWznPV27rvvvuSzfj756LNxOff8DGC97mD99lnXCy64IH3jG99I+jFY94l2h44C1sS2226bllhiieSztl6JVr+7T8n+6Ec/SmPHjk1em+ZzxF6XVq9TfjMuGU0+Z4lXDznkkHIqtm1GAZ9vrusrhn0ZgtcTnnvuucnnafHELrvskh555JFyuseW7L377rsTvll88cUTQ79HhdhpaQpwRtCdPnFt/tZZZ530wx/+MPlkab3jPiPuu/pjxoxJZ511VvIZ4/p5r1n0PnC6S1v33HNPGlLnSr0zLfR7WIHpvvvuW3kBP/ShD6V3vOMdycvZeb7+8Ic/pOOPPz5ZuCb12GOPTZR/C9FtyLqy0UYbpb322istuOCCA37Pd77znUn4G6Dqb+M550QY85ouu+yy/b1srupdc8016aCDDkorrrhi8sL+O++8M6211lrpwQcfTM8//3zae++90w477JAofNuPf/zj6Y9//ONc3WteLiKYxo8fX4HneWknrm0NCjz11FPpoosuSttvv33y/mN85yMdzz77bNVBoGLq1KnJF84YjQy1hRdeuOLV5557rqpT/gAr6u62227Jb8rrvPPOK6dj20YUIFvuv//+ylBhrCh0mCG8/vrrlfPgpz/9acIvM2fOTNtss02aMGFCevnll1WZVQoYce1iiy2WGN8nnHDCrPPxo/UpIErHmPjSl76UfFny29/+dlLMP2DJGL3++usrHHPaaacl9X/7298mhgv5YYQvvvhiOuKII5IvVHL0+CAQ3PPAAw843dFlWIEpyi+00EJpww03TLbvfe97HUqLLLJI8vWgK664IrE6KYAf/OAHb7FGqsod8Ac9WOkdMNRZQyTMn3jiiWSh86xfe+216dRTT60szgsvvDAttdRSCU8Ap7xRvj7FsOGRmtVI/Og0CgzIeP/0pz8lX46bNGlSxXP4bubMmemZZ56p2he5wHtAxxprrJGAUgCWgiKzqkpdfwAQkQ6RH23xjJB1Xafif5tRAPAkX8y56Egp66+/fjUSPDNjxozKkFl66aUrRwJjxHW8ZlWlrj8vvfRSlfIztcuwOfnkk9OUKVPS2LFju87E/3aiwI9//OPKYbLpppumUaNGVQ6T9dZbLwGY5vyFF15Il156adppp50qfLPooosmET9RFgAVeL3rrrsSDylPKuyjrTFdntXjjjsuici0Ez0Guq/DDkz7GtCSSy6ZWBs8UpdcckniTVXfxFvsQmI8VTx+BINzFj4PYynCzZRM2T/ggANUS9zwLNZPfvKT6fbbb0833XRTOv300yvwe/7556dPfOITifBRmXeORauNffbZJ912222JkrGv8NjxmvD02le05948Ku7jOoCKstIm4HXjjTemgw8+OPGyYEZtOuc65yZOnJiMj0BsDBGop2BwIUTW2owZM5LfFKFrLR7neZ4PPfTQKmz09NNPu6wqlC3Q//3vf7/ad190OfPMM9OTTz6Z9NdYLBx0VUl7N9xwQ+VRKl7sxx57rBK2vK+8mQceeGA67LDDkrxL15Ti3sccc0zlAdZuKZMnTy5VZm19Oeozn/lMFRZz8G1ve1ua0OV9yDlXAAEvHH300dU8aueUU05Jn//851PhA9c0Fvmf6AzMsk6NsdRBX+NCN/Ml75ZFW86/8sor6aqrrko+wYo3AA7Cp5zvz1Z7eMz99R1/4WXXuj+ewZ94EhgvvCJsJLRc+Ng4pTCUa4UL9QeQty54mdUxXvNFQOI//OU+7heldwqsu+66qR4NEGajWEaPHl1dZJ1Y78L8OefqmPDt8ssvn8ip6kDXH8aUL9CRU+YVD3cdjv9tSAHech4w65JRYi3Xh0FezT///JU8KsfJjP/7v/+rAEw5Rt5KB2Co7LHHHsk15Vxs24cC1jKAiS/0miwGJjlGANWZXYYsfbzyyisnPKDOqquuWhmx9K3oCc+6duAc50VFx40bV0WKyXvHWrMMfq9aGpgavknbcsstq/AtRqCkL7/88nT22WdXQOXYrjA/4Ebw81jwvK6yyioJKNtxxx0rTyylDFyyTrjKtbvZZpslgkMKgS0ADBhol3eSEgJiAC2/l1lmmQqQYjr5r8ADYOYauSEUGaYU/gM6hZwBOg/EAK5bb711Bd70nStfX4AjoAF4nT59egIIhQAIvm9961tp//33r8DW1Vdf3SvgQg8gyrVCQieddFJabbXVEiAJYAGlBCpPzS9+8Yskb8740QoQE0p49NFHHUpAjf7qo5AjZUxJAzS33nprVcc99G3atGlVaBI4I2yNVT8tRvRxX8CruqjrjwVsHnh/zzjjjPT2t789aUN/9KGrSo//Fqx5qB+0cO1vscUWSQiMRwLQ5XnQBiDNiFGnsei/+QRi0cjCH98Vfkc/AkX/jVsdvARgMBqcJ3R4OPDG5MmTk3EIyQCq5qvxXr3tA6WA4TnnnJN4VfBoaf/KK6+s6M87h1f0wzHtCyEan2sYIPYZH7aMAoaUOTF+YSDpL8JDeEJ7eAE/qnPxxRf31r04/gYF5ptvvjd+dW+sT8bIBz/4weoAsC+XGO9XB7r+LLDAApWXrBhj5A3+4E314CJ+7qoW/9uQAuYb0OAxByrIZalDDMIyHHoKqCA3yQfzj28YiMCJegxhwJaeIGPwjONR2o8CsAWHEueJLZCZc66cLowUWMXar+sj+oshQocybvGDNLUCXFFBeh2MIWXEfqeWlgemJtmip6B5wzwJTgHvt99+iet87NixVdjNQ1KAkYmnRCQj86rlnJM6BAkAUsCOyQeOAFLudnmuPE6f+tSnKuaiTN71rndV+T/ALpC30korJflnGEmfAEuMA1w4pgAeQMT73ve+ygsr1LP22mtX+ZDuLTRN8ck/AuBcD/zJ2QSCKTzeLx5HgBegBL5z7vbMqF8v7mm8yy23XAL+5MbxyPGaAYE8oIAgIG1svLqAqP67x2uvvTarOTRSHNt8880r7yBQbSy8b+YAaNpuu+2SMbsQjdDGArSo1Dc3UjF4ltVRgFBAiueZZ0n/xnSFLXj+XKfO7IrF7j4AqfkTUmUIoCc66Cd+aWwHgKAkzLO5MI/6B9yqix5Aor47R8EQODfffHMFnlm36pgn4MS8oY+8IUpLG7Mr+FaYh0ATtjF+c+s6SoyhYh7Ni/GZB4Afz+o/TzjAyUs3adKkhFfxCiNMGNnaWH311dORRx6Z5Nry7DKa0Idy5LXTd6Ek94zyJgWa/bIGhNoYMubNA3iF5ykY4IIhR8bgAR40Bi6+1J6HpQAXc8YgwTP4nrxRT50o7UGBnHMiE8hA4FTkghyVaw9cGIV5Z8haiwxK/EIeMX5z7pbdjHUymmFNd5An5DZ9RsZoJ0p7UIDc5cww/35z/nBa0E9GAI/gCcV+vXAeiIbRZ830lbpkh22nlpYHpo0TQ4GbVKCmnOMh9HAMz5FjvJeAJuuVYneMIuH5Kh4jIBAwqIMi1gvQoH4p6vkNnAJcGObhhx92qPL6AZse0iFY9IvHULsqsKyBNooIAGt8Ik8doGqrrbZKo0ePTgQZocaSxuzO55wT4eU+9vsqlF85D6BbFEBkOdafNtTlKUUvv0sBjIyv7Dfb8srVj6NV2QeiAOWyL0eURQmwlWN9bVmYwCWvn3lS15ygGYAJUDrWrFAmgCUDJedchVYAQ0YCwYCn0LwIFW0wCgAJKQLOMSTkCDE88IQ21etvYQQBhocffni67rrrqgcihPLMPyWnD4Ck8fGAE3juA3yjFTBqToSQvamh8b7mFs+Yc2MCnqwD91TX/dHL7yizp4BoCCBBZgCp0lOsYSCUMcbAAlhFYKxZ3nbKqPAhQ0ERvnMtI4exg5+Ecmffg6jRihRgGIq4MBp5yni/Sj8ZLmQgxwB5zklgXZfznBqiF4xjjg9OA0YooxEPlXqxbX0KkAPkMp3AwIABREhmpyNbf2SD1sM5arjlgSkGKJPNmwTsULw8ZGWkFIVzvBSOUcDAHiXOJc6rAag5JkTLA0W582ao39/Ce0Lxs45cIzwsjMySdm/hU21KD3Deq0B4GVnYwKzfjvdVAFtgBRgq9fTdmMp+O26BKvMghUD/pTOgh4Rv+30VAl8eMEGw8847z6rKa2kHkJbj53ezgn8oBHRsdl74FT+Z23KegcJo4RV1HQ9rzjkBGVIi9L3U7c/W/PF8r7nmmgnIpIzQI+echAmFet0THwPbgDPDCnh3nOcToJFSwNDpzz2jztxTAM3lAfNmoTv+AS4ZuviBLPDAHYMFWDF/Unh233336qYArcJz7dVBjDLywDpgHDczUqsL40/LUyDnnHg9RY/IDh0214AJeSGFCc8wBhmipU6RefLYGZIMajKBbBDti3WNku1RzClZzPlEDlj3IpOwAX3FKdDbSES26Hf6rLc6K6ywQm+nOuJ4ywNT3gqeCp4fk2VxC5sBl2WGCpCTg1eOAS0AK8tW2NPipxhYrawb4JHyKfX7syVM5A/xlPC2ARDeGkAoCfuxeoVySltC8sL67gtoEETlXG/bkSqceG7Nn/QBXkDeAgreQ1m90aIcF/4CDKQjWNDl+JxsgQ2MTuAAABAASURBVD/3bXaN+ePRBWDLeR5HfEXAOC83bMqUKcnrQcxx8dqW+v3ZGr98XTnExsOzgjcZWgovLcBTL8Cx8aMbjy5Pi3SA/twv6sw7BYBO4FNqhagBXtDqQgstlKTp8HqLkDB0yRi84TzeVvCQfcX6F9kBYM2/Y1HakwIMEVE5WyNgcIuE8KDxlnJQyCUXSQNc1CFTGMD4wr6Cv6Sk4YeRKvuNc6QVGMLc4wERTbn8nlsh20XVyHrYxe8ydvPrmDRDsgJ+EAnkfCt1OCsAW9GvcqwTty0NTHkngD3AtOTf8RwJs3noo3itTC5hL4ewTCKF7hpPxgKNPGo8pgQBa5ZwAE5L/f5uhfOFcYVphG0wJ2+ah5h4RgpwkkdCMLGI1XO/3u5RxuE8gQaI8AyX4xhXcb6vUur3VWe4zgFVcrI8RCZfy5wKzRd69dYv+ZdArIekeEbVs7gtcr/7U9xbSJVXAq+4BsDwwJk8H/3xxgDg1TmFoqBUGCLO8YL47UGG2fXZ9Y2FQaVN18o/Y7SwmOV8euWQsCBvubG5Vv881Oc6HjbHKT18nXN3zpp6pZj7/vBIqR/b/lOAJ52sKJ6O+pVklDmUhmGtF+OYIY1XRFVKfXOkvnM8p+V4bNuPAtalVA2yQ++lJInQARX28YyQvfdQy613DAAVEfHGFfsKngBe8Ard5FiU1qcATGHuisylY+gofOG49EKOMY4H+0bEsBUp4XgQQWGkegi36DL16H2ypj+RRG2O1FKA6bCNz0SWhVs6QXh79ZB8O8LewxxAAYtTKBQQZLHIGzSZcsEAU57J0oata2xZIcXDJbRC6bNoijeDYABCeGG14xrMQsgAE/romILh5LdiLBaPNggnAIpXUB2lMCwAJocQI2uLZQ3o8NDZdw/gyDWKlzbznhm7NASARe6a/kgZ0Ef16qX0nze4HFffOOUqOuY3QK9f7u2Y+9u3YNDcMbQCgpyz77e20Ecb6qORtkod51xvbK5BrwIAS389KCLUZU6EQIRJLUAL1TXNikXrgS1ty9XyFgHFk+lo0eyaZsfME55h5HjrgHALwwLglRPI46U4xihATx5x/eOpLG3qD1rJ/TSHaIUH0cd4XYdvS/36Fm08+KIN9YBsnhV5rDz3QoP6JgdR/3hZvJ8VvRX3JeTMJwDrftaNfogg8AZTjuqaJ33SvzJH9s2lua97hut9jN/dFGAQeFjPnKGnNBxbnlPrXS08aT68qs5DEOQKhVPOkzeMaKkA6lkT5o3ikZ+qjSjtQQEymjcUoLTOyDtpW9at/EKjYGjI8ZdrDLBag+Q6+ec5A3XU9YYZ6V/WLR5i0JDbjbpL/SitSwHRLul7IiUwCFlhnfOackJxOkjZYJjS4fQlfeM5B9FcOp58IP9F4/AUvUI/eFgSvmjd0Q9+z4YVmHpqW3jWE9EAgacaTbgnGYVMeR29B5CbnMcTOeTcAavAIWXAK+p6DxbwiqlTCvAp1KYUhcGrCoTwUqkHJAA6gAiLd8KECQmj+KoDZtMHIVwCSX3gmKABJIr3itvd/Vm96ij6IsyvrXI9UAukylF0T0wLLHiSGoB1nbYwJqAr/O+1RECI/loAQkHqlUK4oQMPMuClb/KcCD9C0TgAIud4/QhM4McDNkAXhUvg2tcPXkV0cE5iPyDJkyjH03XmgvAFDHlAATOvNgKK3NN56RMUuz66nuFgDIA2+io8z+be/GlL3XqhwIWtvYZDm3I7SyHM0bdev6/fcr2EWN0P3aVXEABAL88GIeIhFt5Mx/RPn/EZD4eCb/AZGhkrzy/BhDbo5Slbc+YVTb0BD3lJ+Bp/68O4ceOqD0mwrAF1ho258nYA4xeyx7e25t215ooSNCb0lPeo74wF9Gew8d6bI8CVcNRv4AkvU5baB1D7olknnzP3+B/vyg9HNzlk1ia6MAQcN8/WM/60Fsyj8wrFYl1SQngG702dOjW5ptO9IejTboVxIjecvOI0ILeldzAwjcXW2y/IaHIK78g5pHvkoqojlYPxybmCv8ga69VDu8K76kRpDwrQ7TAAXV3kOWyAP8hsv82vucY38AHeIKuF8Y1SCoAn+eki14miMW4V5zu5DCswFebgUaDgeZqAI2F2xxQeLO97Y5mWSco5V19ZADDkc/BYAF/c6CyVUq9sff6Py7zsA7Suodgdw0TuQckDx8CbJyVdB3RQ5BQLEKo+S4cH10MNQI1jrB6gAcCxrwDQmJbiEtInxIBDXjAgR5sYkicMeGVJuU77lCDQzsKiyCg9QI9yK/1QVzFmIIQnjcXlXZsAMDACmPDUAvza5LFhzfNc6r9+Ad+AIUBr0WiDBa+OtAJzgA68tqUv2nRMHR5HoUz3Au491GNB8nBqW7ie0BXWAojMFZDIg0lBA1yOGUu9CHdqX7voVC+8FxR/vf7sfjNsGDnmg2GATsWQ0AdjFTJ3TwICyMOfOefq7QuAoz7gO/yBdsYITAIsUkZ4QRwzt439wcMAo7nGY/jcO1jNZ845Ga/74gdGir6ax5xzQjtpBzx5BByvOn4Fhs0bDytaA+yscMYdQO+Y+0lhIRwZEXgc+K2DqMa+dvq+dYDfrVfrGr/yduETtOFJp1DMI8BvPUvpca5eyAN8JEIAzJA7lJg1W68Xv1ubAmQy49vatoZ5N4FNqVul53QB54F5JkesbzKCzK7Pt5x1fKCOun7jH3qotBXb1qeA500Yp/jBPJpvMpbToPReaoY6sAxZ4W0ORaarg6+kddEp6miDfC/YRJ1OLfMETOeVaCwHk9essC5NkMlrvE/OOVEE8jpcS1E0q+c6ALF+LuduoOGcknNOrteOok33pbjtK6xhgkd9haBR/FacYyHZ2i+ljM/1lBowhaHVrd/TMd66cp3+CvO6N+BS6tfvWermnJN6pei/emXfVlvG5LfifvpSH6N9NHe+lNL/sm8c2ir7tgSqbSnOa6vs2wojA6hCoYQwbwHPgeKF1UBZGU/ZGkO9f9opBU1Kvf5uc87VxxaMXcE/Ob+Zq2nuCo3Q0G/HSvvmwHX6ZMz4ym/9tF/6ZotO5bqy1ZY5d406tvU5z7mbp51zn3r/XIuu+uW++MNc6aN6rinFecfLvq06aOa34t7aKH2LbU8K4Hu0Rit0tp9zT15xXEHbnN8817OlVL10H721Zw6C7o0Uao99698c4gnr2Jpv7HnOudJL1q961iy531gPP6mjPW1Z3411Yr/1KUB+kwHm2hrHIzn3lAXqlLk27zn3PJ9zNx7RBr3RjK9anxID38NhBaYDP5xosRUpIGzMg8eLK82AF5R3UX4OTzCw2or9jj4FBVqAAtGFoEBQICjQURQIYNpR0z08g/XwkfC+BwbkbwpvCZEKqfOW1lMthqeHcdegQFAgKBAUCAoEBVqBAkMPTFth1NGHIaWA0DIw6oXx8lBt5VbJp/EeuCHtTNwsKBAUCAoEBYICQYGWpUAA05admpHVMblW8qk84a7IyZFzM7JGGaMJCrQGBaIXQYGgQFCgXSkQwLRdZy76HRQICgQFggJBgaBAUGCEUaBNgOkIo3oMJygQFAgKBAWCAkGBoEBQ4C0UCGD6FpLEgaBAUCAo0IEUiCEHBYICQYEWoEAA0xaYhOjCvFHA59600NfnTZ2PEhQICgQFggJBgaBAa1NgJAPT1qZ8P3v3v//9L/3+979Pvq7017/+tZ9X9a/av//97+QF9z//+c/7d8EbtXwpyleG/vGPf7xxZHg3nvLXF1/KQq+h7o1Pzfmi1o033ph8uWmo7x/3CwoEBYICQYGgwEihwLAC09tvvz35vGez4lNe5VObI4XYczOOxx57LPlUq1creSn93LTR2zWvvvpqOvHEE5NPu/ZWp/E44OfzmD7D9sILLzSeHtT9u+++u+KX+k0ef/zx5DNwzz33XPLZz5x7flmjXnewfvPU+rKVb2X7hO1g3SfaHToK+HStT776hvWpp56annnmmR43/89//pN8ItZ7eZVp06YlxlGPSm/sMFy0993vfjftt99+yScI3zg1AjadMYTXX389kT+TJk2qZBCemDlzZo/B/+tf/0r44NOf/nTyejxftmusUy7473//m8j2b37zmwmPXXXVVeVUbNuAAtb0Qw89lI4++uiKHw4//PDkPd34pN79X//61wmWmThxYrr22mvTP//5z/rp9MADD1Tn99lnnzRlypT0u9/9LtGxPSp14M6wAtMNNtggnXTSSdVk3HXXXWn8+PHp7LPPro6ttNJK6fTTT0/jxo1L559/frLoO3B+0gorrJDWX3/9BEQO9Pi9vomw/cpXvtLvpnPOySK74oorkhfn9/vCeazIW+yl/EWAA6Lbbrtt2njjjZOX92+yySZp1113Tb0pgnm8fZ+Xo+O6666b4nOTfZKpbU7iNWsC0ARAAYxjjjkm/e1vf6vGQCnxjl955ZWVMXT//fcnYOS6665LzlWVan/Ito9+9KPphhtuSLaUUO10/GxxCgAKQMfBBx+cfBTknnvuSXjioIMO6mGwkIlf+9rX0mc/+9l08sknJyAFXzQOT3vXXHNN2nHHHRPeofd22GGHxmqx38IUYGgeeeSRyQdizjrrrDSuC6cwZO+7775ZvRaJxDN0w1FHHZXMuQglo0QlupfDCQ88+OCDibHDSefLiM53chlWYOo708svv3yyKCn3ddZZJy211FJp5ZVXTibMJyx9X9oiFzpuJvQHevJarb35558/vec976noMtB9yzmnxRdfPKH9nLS98MILp8UWW2zIgBgBzzsFKJR+Lr300knofu+99048t5dddlnl0RgzZkypMmTbUaNGJbwcwHTISD6oN7r33nsTD8g555yTrr766kTh/PKXv6wMaDd++eWXkzQYnk/KZPr06ZUBSRHVDUh8C4zuueeeaeutt0686vh19OjRmonSJhQAJH71q18loBNAlVrFC2beySDDkMLDMDniiCMSILLccstVxsqf//znyrOujoJvGDQ8r0DrhRdemHbeeee0yCKLOB2lTSjAQWKOGRV00TbbbJPWXnvtaq4Zs6JoU6dOTZtttlnabbfd0mqrrZZ22mmn5MMyf/nLXyrP6cMPP1wZMCLH5MvkyZPTE088kVzXJmQYtG6OGrSWB6BhoJWFAZBedNFFFQDRLEEhhGuBO25iX3rpJacqz6LFXgpBID+z7FMOKj766KPp4osvrorw6yOPPJJuvvnmysqdMWNGEna78847VU3avv7665M2hNXVv+WWW6p9xygvXhYeFfuK9tybknMf12mveH5fe+21xM3Pyn7xxRcToaZNN3Sdc5deemkyPjmdxuxcs+L66dOnV0ztN0DvWsKUdU6QoqPUiPKgkHYAOoKWxWbffdGFsDUe/f3Od76T9KsoXO3pGy/QK6+84rIkv5LhYMFJN3AfC5dQriq88ce9hTPQp14o7zeqNN1YwEApw6VUsM8C1V9t4QHzTCCUOo3bojzQ1Hzqb6mz/E6JAAAQAElEQVQDRBgXupkvIKMedjFv6IQe5tL9yvhLG7Pbag+Pub++oy/edp35xTP40/3xjXs6p86zzz5bWdzuL/WCxe6487zH+oPe1gWeUsd4nefh0Wfz6D6ORemdAltuuWVac801Z1WgXBZYYIGkOMiQ451nNNtnlOBNH4xgpDimWJOHHHJI5SWd3KV0Sn3nOry01fBzzmnTTTdNW221VWWMM0CF6seOHZt+85vfVGOxFq2tsu9gzjlxLNTnndw5qMvTuu+++6ZDDz004Rl1o7QXBehKeo++1fOcc8UbDIycc6IHf/KTnyQ84uMyqevfWmutleabb74Et9CjW2yxRdpuu+0SmYEPxndFjNdYY43KwdJVvaP/j2r10X/gAx+oBAIABWARALfddlviPgdCMMi5556bhN4wifMUwmGHHZYo6ZxzZZ18/etfT8cff3zKOVdDJjCmTp1a5QQBN0IzZ555ZvWQkf0iQJ588skqPCefhDse4MJchJMUA54V/bKvyBsCHoAKdV0DhDo+adKkBJgAQUCj/hBOQKl7y1HUf+P76le/mv7+978n3hlABlCsOt7whzAEyL7whS9UwEWfAOdLLrkkHXDAAVUeE5Di/qeddlr63Oc+V7WAVvrCajdWB4UTpkyZkqRX6BNADCAZo606LDt9RXNtmANgTshi2rRp1fgIZ/dCX9coQLtQ/B133JEsVH02drTmgVWntwL4b7DBBqku4C1mQLcAiAUXXDCxXB1v1g5wKzUEPdH4ggsuqPKD/GbhugcPGIEBsJ9yyimVh8R5NOaxBS7sA3zmleBRv9n9mh3j1QUOCSH0REP31r45N0/OmSu84POt2gegzQuA6fOujCaeOkBU2AfoFGrWvjl1vf7LA9YmAOxaXh59bta3OPYmBQDNN/dSErYX1RG2czznPAuk2jc/Co8IPnQMb1qD5JO5EGFwPEr7UYBcb/x0Mh1gra666qrVgESePvzhD1cOjSK7Gdy8oTyoKj3//PNJTuno0aOTMDADx/Eo7UcBxis5CzfQF/QLPc9gpd9gD3p+iSWWmIU56C+6jhPHVmRY3TJ6hi9csuGGG5ZDHbsd1eojJwCAU96pmTNnJkDIwpd3CVQd1GV9sl4pAUqfUrHoV1lllaS4Xk4XhgFa/DbmFVdcscoPo7zl+vhEJrDIqtl///2rfA+MduuttyaCBFCQU5lzTvqz+eabVyG+Smh96ENVaHvRRRet8kGBRIIMSKSQ5BwBZZQUz6VrxnZZ20L07qHPQAWAZx+zCw0AkYq8E8f1u7FoC2jThsUBIOorMMmTpk1tuL8wIsBp0RCKaAJ4lzaFIiwWIHK5rlAUOgBPFgxvoXoE8eqrrz7rQQ9A6SMf+UhlLfIsmwsPVOk/wewaxW8KHjicOHFiBQoBSf1nOarTrJx33nnVPOpb/bzxmkPglidjvfXWS7wQ+lOv5zcwCry5nwcN3J+ymD59egL8nnrqqeQ+e+yxR5WvyoAgeOQ7A3Q8nfjg3e9+dwX28Rw6OQaousfsCpoyVFyLB4877riExq4j2ABf4d699tqrSoaXY02J4RlAmEdUSEj/zS2Az4sq9QX9GAPmydi0vcsuuyQGEoXJSGO44UU86Z5RZk8B6weYB/atBcqk8Sp5YgceeGA1l9Zhzt2GL6UlH1HuGY8+A4o3hEHW2Ebstx8FyGNrq4AIa4/cJVfIv+233z6RRXQRsGGEeIXslRt/xhlnVHKNnrCWnY/SPhSAP8hhkS/rnm474YQTqpxTo5Brykgtc+9YKaKN5Xd9S8/AKHRA/Xgn/h7VDoM2WfoJBABfFDVBz9oAbDbaaKMqrwfIzDlXzAH4CWnzRqlDKbBguNG1RZEDWMsss0zl/cBAgKyCoSgh9+XJyjknwBVApGyEUXPOCYhVx+uK3Ef7GJXgcVwf/AZ+eMbcF9DIOVf3JMwUgNFDTsAVxaUuxjc+/XIfoML1zQrLXV0AbfTo0Un/gWSgHEABQh0DhNBQP/XPGOvtqaMYa6EDAKhtXmFGgf4q5TrtuL8tIa1NbSjC4aUemi255JLJeXV5n/TRU4ilTuMWGAbYJkyYUIU7Gs8//fTTCYDTJpCfczcoaKzniWoebyFZY0FT4J+hgzfMqWsYHPqGboyVZZddtvLEu8ZvADznnBhJOecq7cN1/SloRlHJVwQo9dncaFs/eKfxiRwjISJ9ZGgRVq4DlIFQKQw554TfzKXrzRHLnFI019rGL3gbHzmPPix2nvz+9LfT65gHgJ4xwXiT8867X6cLYwcolQICfDKYARZ18Bz+tDY8iQ98kFMMC2tcnShzRoFWqW3dAZnWG/lT+kX2MgrJOQCUXhDVKOfxDyNUuJfxy7Dl7GCQio6UerFtfQqQzxwFdArHhxQsqVjkst7TsbbNCv3eeNx1Ils87Bwujec7bX9Uqw+Ysi7K1IIGdgAHjFH6TglTzCbWMfU27/JoCv8La1PmhAkwxINon9UCNKrf3wKYYiB5kq4BHFjJFBPlJRQO7PKsOc87hXGFtP3uLRyvbimAGFAHXJRjlBvAUfbbcQuEMigsYv1HR3PLYLDfWIAzgl3IvfFc2afwc84J6JLjV443boVVKYgFu8L9jefsA634CUi1rwCBgBxvGfrzggOm0ip45wFJ9fpb8KQ2hHx5U3hj3QMQ5rFV5JZ6wEJKAR4HegBTyk9qBMEnjM/r3t/7Rr25owCaW+fAg1fCABW8/gzL0qJUGUaNdAm8AagCpM6rRwHxuDJ4GHvHHnts9SYL3uuSs61ulPaiAGPaPIsOkRt6T78wPjhH6B0Pzqkn5YfsUYceI/fMv1fcieDwnDIu6Qfn1YvS+hTgXJAeyGBlaHL6kBPmHi9Y772NwmsNG8/BD/ABZwXZ33i+0/ZbHpgS8BSyRQxY8kjwWPHelcniEeJVqjMD76F9QJT3AzDgeqdIKBtKg3AobfRny5LR7owZM5JcS9cIJQthA8y8K5SV44rcTWAEowFRAJTj3aX5XyHf5mfa+yiPn/HzKjEMeEMBQaHtZiOTr2qe5E4KfSvCJer6zTPtd38L5eC+zepTCPJl62CBIQDIMngoE33hZeX5ZCnLJ2vWVl/HGEuALWHGmy/FQ7gYj48ZM6Z6jx3PW73gezwBmPLSCBtJYenrPnFu4ChA5pAb+JfyMFf11skexqensfEzL6nzwIbivH2F8hLpYZwwlhyL0l4UYDCTQ0Apw7L0nieUYQlY0CucGNYsOedhUPXoAYZo3ekgMsWZQT4Vo13dKK1NAUYqfeKhOEYpZ4LUDk4LMkLKm23dcwq7wB1ebVgfHTxDv3gQSpSrfq5Tf7c8MAX4hDmAAUpaOIy1IjRcJg0DABcURDmmLs8URiEcWCm777579eCNh3coDF68Ur+/Wzmc8sdYS8AJby3GlCIA2BBK2uJRk9cpJEyIUUoUl3N9FUIKEPFQS1/12u2ccfEe8WATxrxLHmATIm82Fh4rD5ygWymMC3Xtz8nc8XwSGjwavLTaUPRFSoc8L8YLi9VxpQgR753EbzwbQnfemcoDRsmoN6fFtYwZPEjJ8bahB+8Kvqr3zwNSBJv8Y/nPjB7AtNBhTu8d9eeOAowRfCrsWjxk9ZZyzkn41nnz6xxDQzFv9ksR7iUzGGnlWGwHkQID2DTwyCAWySCf6k2TESJm+MBxPCMsO27cuOrF646JDomm0Uf2S+FAYQDji3Istq1NAQ/LMjDgCD01txwmHA1kNpnOMKXHi0ynXzhA6BTXKMAtZ43nPRitDBfHO70MOzDl9haurE+EY6xHD3x4hYIwLY8jRgBMAQRPF3vK0aRT6sLEwuqlnZxzcg1vJkGAcSgVwNJ1FA3hob778YoBtywaxzCXtu0775gij5I3jZVT2pAjBECzeNRReER4dYFmIIfgslVcW+6lbQLPNYoHcAAWYEQ/gV0MjUbG4jr16kUb+g/QluOl/xjfMWPRF7/1wdbYbN1DG35rX1vlnN/astWGOva1Va/j+tKu3+qoqz1bc4BGvIFSH4TpgazShjr14oEeIa96KYaHY87X6/f1G2CgIAgAXmzCgxLxYBePGKtXjq8+mRv95xFHFzmhtrxcxqygMwFjbObEWBU0wrfN+mL+PWDFs0L44GHWMWOF0eQ9d3IavapL/6QXSCPQJt5GW/fWvpxU98MT+ouG5llxb/PkOv1zzjH1HdOO345FaU4B9DZfaKWG9Zdzrt4OQoagH8MYH+AVNDYn5AADyDUejjPHQrvmTD3hX6E+IX3zrl6U9qAAniAvgAdy3RoFOhjY8kkBUsY34xffWIPWp8LANkryjrwhv6xb65EXXlqZKAi5oF6U1qeANEDpV+SAuSZryV8P6XJacFB97GMfS+bW+ie76UCGCSebEZIr9Av9Yx+PkTuwjSf3HevUMqzAlMcKUJHLRdHzOgp1ehrZS/W9ZsUkyr/hnTRJQvYEOzBngasPxLFCKAJ1SrHPbQ7sFRDqQSMPJREi6lEyAIBPg/Fy8oR6og5I8bomAEX/CBj1hXe1AeiwcHPOCej1UIOHlNRRuPLd32t9eAYxG2Dt4S25qd41CahhaN44DO46wktekj4B2nIK5c4SfPfdd9+sr8+oq+i/8RNwcl14iAlMnjj955nTlns5r7427QNKFKbQlFACb4AFIRzpHA8exapvgJzws3EAT+iiDvAsVAW4mUv3YlBoX/+Esyxgc42OwtiKNwVYlGhjQao7WMU8EfyMGoYOReGVWH4DCAwMKRfA4JQpU6qn2dHPOyh5Z3kzzLd8V/01RkIIDdDC+OR9EjRyR4HfZmNx3CvC0FQOGq8+4SUkKD+Jh03feNn1gyceEJI+Yk6lErgPPgWG0FnKA+UIJEnAN0/4BY/xBrsPrx3amwN9Vp+wbNbHOJaqB94oHvS2ZqwLa7vIIPPMGyYSQjapg7b4qXizecFETOQne0ob75AFnrgVuQk6tw8FOBnIKqF66Td4Q6FbrD9gk3wW0bAmyTyykFx3jm4wWuudcUwu0294x1YkyRpXJ0p7UIDcFonzlhkYhJylB3hNyWw4hZ5jpDhHL5C9ntyHA+AdMp6eoQvxk0LP2Jf21R6UGJxeDisw5epmQVAAAJSFyzXuGCvCIqbEKYUyfEDCIpbTwYNGEcjr8Zoc15Z6ZcvK1VbZJyiAEmDDsZxzEl4rIJClw+IBXAFkysT5nLuf+HZOOBdg1n9tAC8AB8+XfcUYMK3+A5uUESBnHzAWCvIEJyDps5qlLe3LaQMeXcNCF/olxLyyBo20Xy/GBDABV2iARhiccEQXoNxioEiBF/lyFg9ABlRSnMYIdMuVQzN91CchR7QGltFMHW0ah3lh5XubgFcTCUe4lzkhwLVtnPrD6+0LODyDaAMgA6TArvvVx9Pbb3lb2uztfF/HPZ1uPl1vrvAb4OcafQYYzI9xA7LmmPDJuZs/0BaNjZmhY24ZRjy36vOko5MwHxppt17UwXcMKKCFsMVN2QAABNxJREFU4YLuQCka4mXXl/5Rao7lnBMFCEyiH3CtL5QkerPQ1XMdwWZeCUX9dwz98RTF6f7myT1z7ubneh/jdzcFrD9zg1etJ8YC2pd5NX94yevJrBseeWsCrbtb6P5bZIj5Mf8ACsWkze4a8bc1KdCzV+SXtQVckB3ktsJxAliqXeqQZeYdaAEuGJxkrzoKOUS2k5nkoAietgpvqROl9SlA5zNAGKjkLXkOUNIPOXfLVnoZtuG4kuKDF+gL8h6/wDEwTp2ngFWYoNNlxLACU+FTFkazwmsk96++qAu7Ur4YAXAAVoCCZvXUxxT1c64FPpxTMAhlX/rAG+q+lH45hoF4PtRXgLU6CMVEvlIF4DhfCkVFGRFqlBkPKrDJMwYUlfYBHYC4XAfYEWrGRqkBkMCr+5Y6ZQs8lnZs9V/f/C5FWwBM2adk9aU+RoKSAi51bD3sZVuKcVhYZd8W4LEtxb0I37Jv/ASwd4ZS3hYhAc/KVHhrgdQynr62ZQx91entnHk2HmMHQvEP2pX6FAO+0F98hQfKfBIkBItrGUEAOuWDfsZvfGW8tuhU2i1bPILPCDJ1tGNec+4WYvon/GvO3cdvgNL1rmVM6Jf74g8AF9g3Du2Vgt8dL/u26uAjvxV9IEy1HeWtFKBQrCO0Qmd8U+cVMoTh57zCcMADb20pJWsdn/CmMpCD7s2o1NrHgExrz1w3FjKj9B6PMGbIF+uY3miWC08v0AN4gtOiyJnSTmxbnwI55+qDLnQmnUGeA6t0Rb339Lq5xhPkCh5xngwnFxr5yT45oU4nl2EFpp1M+KEc+3DfS/6dMLbcWblV+mMBS2PwGh5g17EoQYGgQFAgKBAUCAp0NgUCmHb2/A/J6HkYeSAnT56chLp5TYXSeUzlTvKOD0lH4iZBgaBAUGBwKBCtBgWCAgNEgQCmA0TIaKZ3CnhSWR6V/CshD6FmD5IIbwhd9H5lnAkKBAWCAkGBoEBQoJMoEMC0k2Z7TsY6wHU9JCLH0gNYCi+pvM0Bvk00FxQICgQFggJBgaBAG1NgroGp1+/knFPOUXIOGuQcNMi5M2jgTRGeSs+5M8abc4wz56BBzgNPg5yjzZyDBjmPbBrMqRNqroGpp8q9ty3KASloEDQIHggeCB4IHggeCB4IHngrD3irxZw4cOcamE6YMCF5H1uU7wYdvltoENtYD8EDwQPBA8EDwQPBA2/ygHe+DgkwnZObRN2gQFAgKBAUCAoEBQaAAtFEUGCEU2CuPaYjnC4xvKBAUCAoEBQICgQFggJBgSGmQADTISZ43O4tFIgDQYGgQFAgKBAUCAoEBSoKBDCtyBB/ggJBgaBAUCAoMFIpEOMKCrQPBQKYts9cRU+DAkGBoEBQICgQFAgKjGgKBDAd0dM7cgcXIwsKBAWCAkGBoEBQYORRIIDpyJvTGFFQICgQFAgKBAXmlQJxfVBgWCgQwHRYyB43DQoEBYICQYGgQFAgKBAUaKRAANNGisT+yKVAjCwoEBQICgQFggJBgZamQADTlp6e6FxQICgQFAgKBAXahwLR06DAvFIggOm8UjCuDwoEBYICQYGgQFAgKBAUGBAKBDAdEDJGIyOXAjGyoEBQICgQFAgKBAWGigIBTIeK0nGfoEBQICgQFAgKBAXeSoE4EhSoUeD/AQAA//+SznUqAAAABklEQVQDALfUM2eb+hFqAAAAAElFTkSuQmCC\" width=\"609\" height=\"558\"\u003e\u003c/p\u003e"},{"header":"7 Conclusions","content":"\u003cp\u003eTaking a mine in the Fengfeng Mining Area as the engineering background, a study was conducted on the evolution law of overlying strata movement induced by surface subsidence under different mining sequences, and the following conclusions were drawn:\u003c/p\u003e \u003cp\u003e(1) The evolution law of overlying strata fractures was revealed: Key strata play a dominant role in inhibiting the propagation of vertical fractures in overlying strata and thereby controlling surface subsidence, and the overlying strata form a trapezoidal propagation structure with horizontal fractures of key strata as the upper base and vertical fractures as the lateral sides. When multiple key strata all exert an inhibitory effect on vertical fracture propagation, the relatively higher-lying key stratum acts as the main controlling body. In addition, the propagation process of overlying strata fractures in the three key strata was clarified.\u003c/p\u003e \u003cp\u003e(2) It was confirmed that compared with downward mining, upward mining results in a smaller surface subsidence not only after the mining of the first coal seam but also a lower total subsidence after the mining of both coal seams. The mechanism underlying this phenomenon was elucidated as follows: The strength of key strata is weakened while they inhibit fracture propagation. The degree of fracture propagation inhibition by key strata (i.e., the degree of surface subsidence control) is positively proportional to the degree of their strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, the final total degree of strength weakening of key strata is lower when their strength first undergoes a Stageof slight weakening. In upward mining, the coal seam farther from the key strata is mined first, during which the strength of key strata is weakened to a lesser extent, leading to a lower final total degree of strength weakening and thus a smaller final surface subsidence.\u003c/p\u003e \u003cp\u003e(3) The evolution law of overlying strata bed separation was determined: The maximum bed separation space under the three key strata appears in the order of ascending stratum position, and sequential implementation is recommended for bed separation grouting accordingly. For upward mining, the bed separation space formed during the mining of the second coal seam is significantly larger than that during the mining of the first coal seam, meaning the grouting volume should be mainly concentrated in the mining process of the second coal seam; in contrast, the bed separation space shows little difference between the two coal seams in downward mining, so the grouting volume should be evenly applied. Furthermore, the bed separation space and optimal grouting timings under the two mining sequences were obtained.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003eAuthor Contribution\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eYiqi Chen:\u003c/strong\u003e Methodology, Validation, Project administration, Funding acquisition, Writing \u0026ndash; review \u0026amp; editing. \u003cstrong\u003eFei Wu:\u003c/strong\u003e Methodology, Data curation, Project administration, Writing \u0026ndash; original draft. \u003cstrong\u003eJianning Hu:\u003c/strong\u003e Data curation, Validation, Translation. \u003cstrong\u003eFan Li:\u003c/strong\u003e Data curation, Validation. \u003cstrong\u003eShuo Cao:\u003c/strong\u003e Data curation, Validation. \u003cstrong\u003eKaiqiang Sun:\u003c/strong\u003e Data curation, Validation.\u003c/p\u003e\n\u003cp\u003eData availability\u0026nbsp;statements\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe datasets used and/or analysed during the current study available from the corresponding author on reasonable request.\u003c/p\u003e\n\u003cp\u003eDeclaration of interests\u003c/p\u003e\n\u003cp\u003eThe authors declare that no conflict of interest exists in this manuscript, and the work is original research that has not been published previously or under consideration for publication elsewhere, in whole or in part.\u003c/p\u003e\n\u003cp\u003eFunding Declaration\u003c/p\u003e\n\u003cp\u003eThis work was supported by the funded projects: National Natural Science Foundation of China (52504151), China Postdoctoral Science Foundation-CCTEG Joint Support Program (2025T026ZGMK), Fundamental Research Funds for the Central Universities (2025QN1003).\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eJialin Xu. 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Optimization of staggered distance of coal pillars in multiseam mining: Theoretical analysis and numerical simulation. \u003cem\u003eEnergy Science \u0026amp; Engineering,\u003c/em\u003e \u003cstrong\u003e9,\u003c/strong\u003e357-374(2021) DOI: 10.1002/ese3.824\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"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":"Subsidence-reducing mining, Upward mining, Key stratum of overlying strata, Fracture evolution, Bed separation space","lastPublishedDoi":"10.21203/rs.3.rs-8825625/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8825625/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eReducing surface subsidence caused by coal mining is important for the coordinated development of efficient coal resource development and ecological environmental protection and it is a long-term difficult problem. Taking the on-site conditions of a mine in Fengfeng Mining Area as the engineering background, this study uses numerical simulation to research the evolution law of overlying strata movement closely related to surface subsidence under different mining sequences of multiple coal seams due to the deficiencies of existing research. The research results are as follows: ① The evolution law of overlying strata fractures is obtained. The key strata play a major role in inhibiting the vertical fracture propagation of overlying strata and thus controlling surface subsidence. The overlying strata will form a trapezoidal propagation structure with the horizontal fractures of the key strata as the upper base and the vertical fractures as the sides. When multiple key strata all inhibit vertical fracture propagation, the relatively higher key stratum plays the main inhibitory role, and the overlying strata fracture propagation process of the three key strata is determined. ② Compared with downward mining, upward mining not only results in smaller surface subsidence after the first coal seam mining but also smaller total subsidence after the two coal seams mining. The explanation for this phenomenon is that the key strata weaken in strength while inhibiting fracture propagation. The degree of fracture propagation inhibition (degree of surface subsidence control) by the key strata is proportional to the degree of strength weakening, and both are inversely proportional to the distance from the mined coal seam. Under multi-coal seam mining conditions, the final total weakening degree is lower when the key strata strength first experiences a small weakening stage. Upward mining first mines the coal seam farther from the key strata, and the key strata strength is less weakened during the mining of this coal seam, leading to a lower final total weakening degree and thus smaller final surface subsidence. ③ The evolution law of overlying strata bed separation is determined. The maximum values of bed separation space under the three key strata appear in the order of increasing stratum position, and grouting should be carried out in turn during bed separation grouting. The bed separation space during the second coal seam mining in upward mining is significantly larger than that during the first coal seam mining, so the grouting volume should be mainly concentrated in the second coal seam mining process; while the difference in downward mining is small, and the grouting volume should be implemented evenly. The bed separation space and grouting timing under the two mining sequences are obtained.\u003c/p\u003e","manuscriptTitle":"Study on the Evolution Law of Overlying Strata Movement Inducing Surface Subsidence Under Different Mining Sequences of Multiple Coal Seams: A Case Study","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-02-22 17:00:14","doi":"10.21203/rs.3.rs-8825625/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2026-03-09T06:55:16+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-03-08T03:12:33+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"268911629961346212861651792869868508586","date":"2026-03-06T15:52:04+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"118089797560978289986787784263012863176","date":"2026-03-06T15:34:21+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-02-26T10:29:55+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"315704248022809088820093023145391575609","date":"2026-02-19T01:06:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"19455999388501215378803075984408160961","date":"2026-02-18T11:10:07+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"36330734839641251979205435690229995427","date":"2026-02-18T10:48:59+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-02-18T10:25:33+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-02-18T07:18:25+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2026-02-18T07:04:17+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2026-02-13T09:13:40+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2026-02-13T09:05:14+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":"f2e766a5-c096-4230-ba17-c807958084cf","owner":[],"postedDate":"February 22nd, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":63164543,"name":"Physical sciences/Energy science and technology"},{"id":63164544,"name":"Physical sciences/Engineering"},{"id":63164545,"name":"Earth and environmental sciences/Natural hazards"},{"id":63164546,"name":"Earth and environmental sciences/Solid earth sciences"}],"tags":[],"updatedAt":"2026-04-13T16:06:28+00:00","versionOfRecord":{"articleIdentity":"rs-8825625","link":"https://doi.org/10.1038/s41598-026-46354-8","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2026-04-11 15:58:58","publishedOnDateReadable":"April 11th, 2026"},"versionCreatedAt":"2026-02-22 17:00:14","video":"","vorDoi":"10.1038/s41598-026-46354-8","vorDoiUrl":"https://doi.org/10.1038/s41598-026-46354-8","workflowStages":[]},"version":"v1","identity":"rs-8825625","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8825625","identity":"rs-8825625","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}