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</style></head><body><div class = "content"><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S3">Session 5: Design of controllers in the frequency domain</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">The practices of the Automatic Control subject consist in the study of a servomechanism of angular positioning (LJ Technical Systems) controlled by a PC. The laboratory sessions P1 and P2 focus on the experimental analysis of the temporal and frequency responses of the system, respectively. Sessions P3 and P4 are dedicated to the design of PID controllers. Finally, in session P5 controllers will be designed in the frequency domain.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">OBJECTIVE: Design a controller in the frequency domain for the position output of the plant studied in previous sessions so that the closed-loop system meets certain specifications in the frequency domain.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">In this session the student has to:</span></span></div><ul class = "S5"><li class = "S6"><span class = "S0"><span class="S3">Design a controller by phase advance.</span></span></li><li class = "S6"><span class = "S0"><span class="S3">Experimentally verify the designed control system.</span></span></li></ul><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Alternate between the experiment data and the directory Results</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% If you want to use the data in the directory Results = false</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% If you want to use your own data = true</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span><span class="S0">useExperimentalData = </span></span><span>false</span><span class = "S9"><span class="S0">;</span></span></div></div></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Introduction</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">In this practice, the phase advance and delay controllers are presented. These controllers are set to be in series (cascade) with the plant to be controlled and aim to modify the behavior of the system in closed loop. The control system must satisfy certain specifications defined in the frequency domain by means of a gain margin and/or a phase margin. For the design of controllers in the frequency domain, the discrete time systems are transformed into similar systems of continuous time and are then is antitransformed to have a digital controller. The methodology for the design of advance or phase delay controllers for continuous time systems is detailed below; then four exercises are proposed.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">The generic transfer function in s of an advance or phase delay controller is given by</span></span></div><div class = "S4"><span style="vertical-align:-35px"><img src="data:image/png;base64,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" width="109" height="69.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">The relation </span></span><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="46" height="37.5" /></span><span class = "S2"><span class="S0"> for the case of </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="52" height="19.5" /></span><span class = "S2"><span class="S0">, or </span></span><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="46" height="37.5" /></span><span class = "S2"><span class="S0"> for the case of </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="52" height="19.5" /></span><span class = "S2"><span class="S0"> it's called controller length.</span></span></div><div class = "S4"><span class = "S2"><span class="S3">PHASE ADVANCE CONTROLLERS</span></span></div><div class = "S4"><span class = "S2"><span class="S0">They correspond to the case in which </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="52" height="19.5" /></span><span class = "S2"><span class="S0"> and they serve to improve the transient response. In a certain range of frequencies, they increase (</span></span><span class = "S2"><span class="S11">advance</span></span><span class = "S2"><span class="S0">) the phase of the controlled system. The following procedure allows to determine how much the phase will increase and on what frequency the controller action should focus.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">The equations that must be verified so that </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="27" height="19.5" /></span><span class = "S2"><span class="S0"> be the phase margin of the feedback system are:</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="262" height="42.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Taking </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARQAAAAuCAYAAADp5uYGAAAMqklEQVR4Xu2dBdA0RxGG30Cw4Ba0kEKCFBJcg7u7u7sFt8KtcPfgbgnubgWFa1G4uwQPCfVQ3R/zzz97O3s3u7d3X29VKoFvd3a2e+bt7re75/ZRXCGBkEBIoJEE9mk0TgwTEggJhAQUgBKLICQQEmgmgQCUZqKMgUICIYEAlFgDIYGQQDMJBKA0E2UMFBIICQSgzGcNHEvSYyW9S9JH5zOtmMkWS+ACkm4r6f6S/triOwNQWkixzRgo9zGSXiTp922G3IhR/iTpyxsx0+2aJAbscZIOl/SRFT/tY/58AMqKkmz0+L6SHiXpmJIObjTmpgzDYrz0pkx2i+Z5bltzp5B00RW/awdHAlBWlGSjx88p6UmSHiLpJI3G3JRh/hgeyuSqcgP2a0kA+olWnMFOiB6AsqIkGzx+dEmPlMTGerqkoxqMGUOEBBZJwA3Y3SX9sKWoAlBaSnO5sQ6Q9FRJ95D0g+WGiKdCAtUSGNWABaBU62GUG1HuA2zkJ0v6zyhviUFDAv+XwKgGLABlvUvtjJKeL+l+kr6x3qnE23eBBEY3YAEo61tFyP4+RoiR4QnvZH262C1vxoA92wzYd8b46ACUMaRaN+YZJD1H0gPDO6kTWNy1kgQmMWABKCvpaOmHkfvtJQEqZHiOWHqkeDAkUCeBSQxYAEqdMlrfdSqriCXU+ULrwWO8kEAmAfb5PSXtP7YBC0BZz9q7nSQqFcnw/HM9U4i37iIJnMbCa7zhr4753QEoY0q3PDbeyYslPVrS56d/fbxxF0oAA3Z2SQ8d24DVAsrRJJ1S0pkkkXr6uqTfmmL43+eybAUdi99s1bm4pYq/maRLWobn7wO+kXLp0xrvAufyFUl/sedp9DpQ0rGt4hYd/GvA2KVbQ+dlAa5bLuiani/XfZ+aJzVgfYCC8C4r6RFWxUlF57c7FuuJJd3LKj4fZlY4yMY91Y2M6CZ+gaQP9a2EBCyuay3mPMOzPyoQuejy1BYjHyTpwZLevkQpf+i8G0jWvRcw6nQIoyPK5muOHFgmvAa0LiPpVpL+YWvtzJJeKOnN5lTcQBKhFN3irzdDtvBM2eNasxoNa/zztAp3iQX9Gknnl3QLSe+o3DQ1tz3cwoSae7vuwarfSNIoOfiKiQEM1xiwGE5uZfnXlnRXSa+VdGTPe+BmUDpW7PoDSd+56Tz9VDy7V1fIuO+WS0j6VN9N2d/XLReMBR3Bd7CNjm5ZE30hMyTscyU9peJe/+TzSaJq+2SS7ibp0/YHspIYQ3g/DBu6IIxin7Pn/9eD1uWhIEAGZRG/0ryOP9vAuN4UZLHB+edZiRU8jjW43cn+/aAGrrd/6KYDCt4JVbHwJzXeCW3lWIRrSXp8xs6jHywVh+PkwH1SU/CVJN3X9FCzf+ao8zkAyhzkcinrQufwLYhVDDzRQh8nggG74oDwmve8woSOd7JzzokkiuJeZ3/DQ76hpDdJYq//wRVVAhSvkQCNflFAQhb4qyQd3xY84OJcQAoo75OEVfldzWrekHuQDRvVN+2QaaPYm1hY6ODc9by3l7NwPmfPeeOgpwCfYQ8TjnIwk18poABIqX663hc6L0tmjnK5kIWydKcTdnS1bLgBe56kj1csVLyNl0u6sHkhRCRp9fYJJb3EvF6GAxtuLunD6dglQHEkYmC8jzS1mQIG41BHwT/ecr/NgEJceUfzDD4oidh0B5l7FHYCSc+0hVATBvqigVCjzyc91gBXFEC/cmJJ8CJXAZTQeVmBc5RLuscwOF1NpUPCaz+9jbXG6W14vT/LRJLv/aKHVAIUXBiIPy68kUOTgU9vcfzFOv6eWkfQDJL2bxXoOPdbIMP4FmJvCOdzSLpOZejCt11O0p0NkPpAiKwZHgekKlYAzuWLiYDgpw6TBNiU/k436RsknacA+F1yDp2XJTNXubCe3mYZVbze/NiLoeE156MQvuCl5AbMJZN6KN+SdONSTUsOKIQxkDggFGTMTS2j4INeRNL7LdzJXXHuOZukN1oaeUj8PmdAgVGH8f6SMdrEsM4d1RSmEYPTswMIvLXiQ53Y5lhEyFXIMJh0vyCVYdW5WFS5p0SGx2Pf3CCUXh86LytlznIBMAhnCXnwmjHe6cFcQ8Jrvv6Wxp2Qir5KB2ntZP9ZJN074053JJgDSrqYcathedN898UlfdKeLrlb17TMTol7qdhLC2+ZCymLYH1DL4ph/WPY4ByehCw5cq/vShX3BAOvNJZNsx3EsDDs6QVnQvxbAvzSu+es83S+U2d55i4XQpq3SCL8BhDYc1weXkOgYvz7rtQjxhPG8/he9pAfe0By4BPmaPy0NHAOKKm7XFrMDii4/izm9Pi4dGKHDEiN9n2w/30ugEK8SdxKb8SiGJZ5+72UO7+08kNT0CZMwhKVNtZeDLt5ju5hEjbVHIswZ52vE1DmLhdCXrizy0u6XuL9Eg6RXr5LJcdXw3sSCgFQhNELky05oKQcSZ49QLmOiqVwxgks+Iah9Q+Ve202t/XFsD5RyFXkiILdgvR9RMqR5B6It6BDiJXCGSdzv18A/K73hs7LktkEuRDuEu546Et19JDwmi+npuWJlg0sgUWaNud+PCKoEDKRcEwcrr5T8Z0Disf7t5aUeygABZO/mllm/u6Xpzlx7bGqoNk2H7ZMDIvHATELx1HyPpw5p4guj3EXgUpqeXIPJbUUuKaQr37h6nJ4DrUEeQ3BoveFzsvS2QS5uBH3JMG/rXas1jvxL3dgykMe8AHSlyQNNTDURsGTsu4JzUm47BFyl7I8XtyClfP0ESW2pC7JfcMo45azkX5pbj0ZEIgaMhO8oKvk/nSWteC9/PdnLYu0iSX6uXXIszf+uyeUSOcpuEUbPFUilgeQpm4FJp7wh58s2E/S8cyqUH4NgUihG2QcesDS5IDO/YBcfsGRUYVJQVNrnR9D0nmtd4k+MMjiX0nCYFEFDEnNeplrx/UYe4EQA/3lF5tzSG8Xz6ceK20W7COMeQ35n74/LaJ0kpexCaUInVl3L7OiOji6n1gFNgZvD16wq7CNRjOqXFmoFM7g/kFEvtNmAUFG7MYC5F76e7COXUfy48HwDMhGuAQoMTFc92VKofvChin+nluHtPo1/d2TtJK4dl7eT4MO+BVBwiU2IFW2bEqsJ1YIkPm5JMqlqR/AU/pN4SVpxiL9M+NRbUmjZ2ud+3tYY2TGmO/XjH+Cg+O9GKASsVwrp7HvY+4t5ZLyjOncsf5wcuynoVea8qXEg/C6hvzP38P6wnhR0k+GlzX4Y+Np+DcXCQYKXiFkcSL2Kqrraw4c+nGl+93isjmIuT5jN5ERwtOh4ItNsWlXynznBYAoGbBkE83hpzEgGAFzqibxdlg8LAgAhTLqMS8HMxYj8niveU+etSmR/2POZ51jU5QIcNCCgZHAMJD9wxiltUZD5phWVXeF30PGW+neKQDF2fIPWFHYXN3bZQTp1oFnPYU86u+eLDNJI9BYeHSOeqMbbvGyi3jINFz/NLLhlXqHrNc+EKJBJO6GQ7qx+hwxQXiDPvAI8O4dZIfINb2X38XG88dIlDzUZccd/NwUgOLVhleV9J7BM5z3A2kK2dO0tHnjsWCJ1tXV3CW1lou4VjNem5R2pXpmAWJ5r36Q2oE3+D72Hd8OuFDvtYkcYlH8YwMKAsP1v4Klkkc9fm5NCyxNIZNOIwblt2JrakCmnDK6Jp2PdQTY+45BaDE350/oTE1LtZ1/Igan1BuyfzddhH8cGk2Wbps89oXnobRQ8CJAwfVGmJuOzmkKmQpVwqA5/nAXixhynSzAVDL3/g/CGbgCOs/xkuDTrm7/3xRhV4u13GoMUv90rJM5GZrVaTWH0cYZ20Nh4p5epTaCyj7eSXMhfUGQhNsgVP9Gvjc/u2Q05Q0YmLQwHA9eU9oXNGCIpW71NgJ6kqh0JpWNFwe40AdFG8c21yvlQqMPBp6DSmvPnCwl2Lk+NAWg4IkcbP0GVNlRr0Hqk3MUtsXdm3OVcHrOBRkdL3qjIpd+FcKfsTwWz+S824r7IA8JueANtnJDLdjoaa0HtT9eAMra4agQ6kg23rhOAShzBdOW8/ICIzZo3ylaLd9bMxaxOl4JoRn1IBc0PgPuB1CBPKbWpfXlxCvnsK7z2M3W37XseAAKF5kevJTbWOEotIAb3K46rmXfOflzASiTi3ytL0TfZ5XE0QiHW9XtkCreIZP3bl3GJ8SZMtQaMs913Uv1OVwK/BIV49/dhvAvAGVdy2n730vRIuEUhWtdp4ptvxR22RcGoOwyhU/0ufA2FKwRbnG2BoVr1ORMkaqe6BPjNSUJBKDEuggJhASaSeC/LByHXGYJ0QgAAAAASUVORK5CYII=" width="138" height="23" /></span><span class = "S2"><span class="S0"> can be written as</span></span></div><div class = "S4"><span style="vertical-align:-27px"><img src="data:image/png;base64,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" width="292.5" height="63" /></span></div><div class = "S4"><span class = "S2"><span class="S0">The design of the controller is done by looking for an approximate solution of the previous system of equations and finally verifying that the closed loop system satisfies the specifications. It is a method of solution by trial and error. The approximate solution is obtained by solving:</span></span></div><div class = "S4"><span style="vertical-align:-48px"><img src="data:image/png;base64,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" width="128" height="103" /></span></div><div class = "S4"><span class = "S2"><span class="S0">where </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="29" height="19.5" /></span><span class = "S2"><span class="S0"> is the phase margin of the open-loop system multiplied by the stationary gain of the controller and </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal;">Δ</span><span class = "S2"><span class="S0"> it is an additional margin of security that it introduces since an approximate system of equations is solved and no part of the system is exact. The solution provides the maximum phase advance provided by the controller, </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="14.5" height="19.5" /></span><span class = "S2"><span class="S0">, the length of the controller </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">α</span><span class = "S2"><span class="S0"> and the central frequency </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="19.5" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">The pulsations </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17" height="19.5" /></span><span class = "S2"><span class="S0"> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="19.5" height="19.5" /></span><span class = "S2"><span class="S0"> are obtained from </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">α</span><span class = "S2"><span class="S0"> and </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="19.5" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,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" width="194.5" height="37.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0"></span></span></div><div class = "S4"><span class = "S2"><span class="S0">COMMENTS:</span></span></div><div class = "S4"><span class = "S2"><span class="S0">In case of obtaining </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="48.5" height="19.5" /></span><span class = "S2"><span class="S0"> is taken </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">k</span><span class = "S2"><span class="S0"> so that </span></span><span style="vertical-align:-16px"><img src="data:image/png;base64,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" width="56" height="35.5" /></span><span class = "S2"><span class="S0">, the controller is designed with </span></span><span style="vertical-align:-16px"><img src="data:image/png;base64,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" width="22.5" height="35.5" /></span><span class = "S2"><span class="S0"> and it applies</span></span></div><div class = "S4"><span style="vertical-align:-35px"><img src="data:image/png;base64,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" width="108.5" height="78.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Previously, the above equation should be rewritten as</span></span></div><div class = "S4"><span style="vertical-align:-21px"><img src="data:image/png;base64,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" width="125.5" height="39.5" /></span></div><div class = "S4"><span class = "S2"><span class="S3">PHASE DELAY CONTROLLERS</span></span></div><div class = "S4"><span class = "S2"><span class="S0">In this case </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="52" height="19.5" /></span><span class = "S2"><span class="S0"> and serve to improve the accuracy in steady state. The qualifier of phase delay comes from the fact that, in a certain frequency interval, the controller reduces (</span></span><span class = "S2"><span class="S11">delays</span></span><span class = "S2"><span class="S0">) the phase of the controlled system. As in the previous case, the equations that the controlled system must satisfy are:</span></span></div><div class = "S4"><span style="vertical-align:-17px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgwAAABVCAYAAAAlmLwZAAAgAElEQVR4Xu2dBdQ1OZGGX9wWd/fFFofF3d3dFoeFwd3dXRZ3d3d3GWBwnwUGd3fb8+xJcerPdHeSlnvvd2/lnP8wfLe7k1SSqrc0h1C0oEBQICgQFAgKBAWCAgUKHCIoFBQICgQFggJBgaBAUKBEgRJguG36wFNKH4rfN5oCJ5H0MEn3knTQwEhrn9voycbgRlEg1n4U2eKloMDuUKAEGO6bSPHg3SHJVs70NJKeJOl2kr42MMPa57aSSDs+qVj7Hd8AMf2gQIkC2wgYzijpb5K+Upr8Hvz9dJIOLekLjWOvFQa1zzV2v3GPH0PSWSW9T9I/Nm500wa09B6ZNrp4OygQFNizFNgmwMBcriLppJKenEDDnl2YnoEfThJuoi9Lerukf1ZOsBYI1D5X2e1GPnZqSftJeqikH2/kCKcNauk9Mm108XZQICiwZymwFGDguyeSdHlJl5Z05iTIIdQBkj4n6R2SPijpz4mBYxF4xUhK0t+1JJ1Y0uNHgIXjJpBxMUm3SeOoFcYjhzz6NSwMCLyvNoCGWiBQ+5wN3q/zJSWh3fKNfJ3fL+nvkh4o6SWSPpKeObekq0q6onvPvv0eSe+U9EJJP0p/RNjfSNLFJZ0ro+AnJL1b0gskfaOHuoztTpLuNwIsHCmBjJtIwkU3Zp+NXvTGF5fcI41DWfnjACb2x3Uk3V7Sz1c+gugwKLClFFgCMJwsCYYbStpf0hMkvU3SLxMNjy7pMpLuIOmc6W8w+KtL+vxIOp8vCVEYxBitEbDx8tT3WyTdwI135JAWfe3Ykh4p6dGVrpdaIFD7HJNjnRG8rNtfJb1I0qskfT2Z+Y+SgMBNJeEmsnZ+BxjsbydM718k/YEAzfsPAL+jSnqqpOul5wEVgKjfDFAdmj1R0jMkfWDE6gBuADBHlvRpSdeW9M0R31nVK0vtkVWNv7UfAwp3l3SBpJCwPwIwtFIyng8K9FBgTsCAVsMBfZwkfMRokwi03/f0jesApn85Sa+WdDNJvx6xUjBGXBDPlPTeEe/zyqkkPV/SmSQ9IAkWNOJNbheUdIskKA2M9Y23FgjUPMeeuZCkpyerAEIUoIbFo6uhmd81AQB+v5KkN2YPHiFp7LdMf79+skQM0Z+A3AelBwAuQ4G5h0qWBYTKI0ZYoOjG9hngEhBMxskfN3mDSFpij2zilAEIV5Z0YDoTWDSxYAZg2MTVijHtWQrMBRhgxJh60Qxp95D02ArGjAvgdZJI20QAjBHSaLBYKu44kYEfUtLhJf1hj6wmNH9Usso8pzDmGiDAJ2qeAyxg9gfwvUESQr5k1QFMsicQ6l1gYGnAcIYEKm9dyBIpLT3nhbECFDbVZeXnsMQeKdFo1b+zJuwvrFz8N5Yp/gVgWPVKRH9bT4E5AAOH9c5Jc4Ngz0rCu8+y4Il6rGSKflqH1llD/OMnHzeC8101L2zZM5eQdDdJuH9+ODC3GiBQAxiOJ+nZySpEfwj/WquOuR0AN8Qx+LYkYMC6gABhn44FpXt528y9RzadFmZ5CsCw6SsV49tzFJgDMFxU0oslIbwJXMS3WxuLgEaPZQDf9xh/MMFyvI/p8Qd7jvrTB3yCJHxxybx2BYABaw6AgYYLh4yNGmBoQ+P9P60YMGAJeWlyNe0iqJx7j0zftct+IQDDsvSNr+8wBaYChuMkiwKCm4bJmdiFMa6F1mU4bLJqYHbFwoEgGtPQbtGcTy+JbAkyNVqEoO+TYLx/l4TfHjO9rwWB4Dp5og1Bnvw+1awN4ML1Q6YJJv+/9BBgDgsDwapYB0hdpdXEGeTDYc3Q+HPf/5IWBvYmMQ5TghQZN3sdOhLvghvtJ2M2m6S9vkdGTntlrwVgWBmpo6Ndo8BUwEBK3GsS0TBRXyFFkK+CjqY5EUBHiltrO4uky6a0T4KmaA8faba2jAFAB6Dpwz0BnAge0kypukjaIEL+p60Dz57HwsI8rjvwrTkAAwGhBKeS2vhbSaRRfnzi2O31pQAD4IT1YMxjgmoBeddMwYOkCNPIBiH1Fhq0tG3ZIy1zXsezARjWQfXocycoMAUw5Ex+LCMdS2gTYHcZGf9g/ZKSiYCnoYW21IKwYlFkhnw2CZLvFyZkQuyeyTpw72QhGEsHNOjHFNJS5wAM9EOQI406GmQLDJWZbpnPUoCBFEgycX5WsMCUxgr92BdE35MdAbCsbdu2R/rm7bNWammTPzfHvgrAMJb68V5QoECBKYDBfMPnTX2QJTFG0x+7SKSMkU/fldff8k0ThK21IKAdxWFIL/xeR+wG4yPVk3gOMgl86iMxF8R9fDRZBr7TMuDsWQM8ZC9QCKurzQEYbMx8nwJJQxYNnjlMqsOACb+rUYyJ2BWyUnLA0EqOvrRKUiGJX4AuU+5DObukN6U4HSwrtbEQ27hHAjC07s54PiiwJRSYAhh8IRvIUWKkmIXR4InaNhcA72HaxTxvVfp+V0lbBBjR71MKPjF/NHyESWvBJiwcFHuiuiExFIAli0nA/AwgQJh3aU1e+E4FPLYOpAzm2QdGyrkBQ0sEOmAAtwmlmGnQg8JY/j6MHDBQX2IoiJPvAFDR9ml9gMEsA2ThULBpbLP1ai3YtI17ZCwNV/VeWBhWRenoZ+coMAUweBN1S/yCaX2Ub6UhHIi8bw0AhIlTEGiKadxM1giwlvgFy2/n9kdKEmNp+JbbPSVtfE7AYEKRIllLAgZfDbNVcHq3D4I7r5mxlEuihjalQ+9dSC1ut23dIyV6rfv3AAzrXoHof2spMBdgaPE9eldGl7CtJfYcgAFzOVYCTM4t8Qs+ABDLgs9QsOwNhCIt/52/GVNDyyaorq9KYg0taoTiHBYGb1FqAYjM4bSSXplKRO81wEB2CECBiqQt8Qvbukdq9uQ6nwnAsE7qR99bTYEpgMELkBbBh7bJ3RJo91gWKCs8prriHC4J3COUNm6NXyAmgdgFWl7q2AsYfr9aZl4/Yio9TdT+lJLYtjFNex8CPHMABstKuXDquCWt0gcNrgMwTHFJeMFfcrt5ZrGte2TTGWIAhk1foRjfnqXAFMCQC5ChoDsjEP2heVM7gDYlUHKOoEfGQoZDS/yCN1F3AY1jJtfApVL2xs2znH1vYcljH8ZsJAMMQ7EQcwAGq5gIQ6a1FG5aF2CYI+jRXG8tbpht3iN9ezSyJMac3ngnKLCHKDAFMOQCpKZoE0VrsCoQqEiwI7dW2lXHrWSbmlY5Nn7B+9u5tjmvMmmAgewRYiMsFdHmZ1YNijpdQ9KXWieePU//3NA35NqYAzDQLYGrmOe5Wpr165pf13TWBRimplWOjV/Y5j0SgGHigY3XgwJ7lQJTAEMuQIhjIPjPVzfM6eLNu13CtoWOdg8FLoUx6Zxe028xr/sYha5sAao5vkzSdzuKBflAOK73poBTa7BnTiPqOWBlGLqSey7AQN9YTnArQD9iUG5cccX2ugCDZcFQP2FM4SYPcNGgyfSoWa9t3iMtZ3Qdz4ZLYh1Ujz53ggJTAQPvEz1PcRyutMa0TxW8rroC/sZCiNsVDNhCdNP+6HfMTZXm0miNX2CMdqdCDnr8HLvcHPjAiVtAS+fSqLElqI1OpkF/u1CSe07AwJoDGrjime8CFMlWITX2Hz0LaPNmvHPEMPhbCely6HprLDpkkIzJpvHBmi3xC9u8R1rO6DqeDcCwDqpHnztBgamAASLxjfMkAcI1079IQX0ITAQZ7ZRJA75RuoYWgYnAsd+7iM19DLgsTpF+pB9uwuT71rge+0HpXgOf1lizeBa/8PY0NqoB1jbunEDwcfEW7hWsHFgPCODkrgXcLtRFABRwmyNjJ8aDQEkEK0zNz8P3WzNvex6BTSolLgm+29fmBAzWBzEs0JDgPoDAmyU9V9L+7q4ILiSjfDh0Adi9MNXOyNfdrDK4OmjcPkp9jL/1TAi3DzS+cvqd7+4n6Tcdz9uNpgQ+lmo75K9b/EJLFpB9Y8k9wl4D8J41nSdiNZgfVq28zb1Has/IOp7DIoTygptuSgbWOsYefQYFNp4CcwAGmyR+Wxg+ApPCTDAzawdI+pikt0r6UA9j98Q6m6RHJlBBRsU5JL0+MUVfsc8uRKJIUosw8D7mlvoLfowwaQQhd0NgaTiJpM+kC5oAH9ACawulohGuMHkAA9Up+zTx2nnbOLB0oO3nlSS7hAbuD+pGDJVzrgUW/vtcygRwYhyY/m3diXGgXPaBknDdQKP8wi0ybQAUCGb69g0AxD0hgBAr5kUMBaCTGh4GLuwdBIQV/8JqZM0CbXGhAOC4qKum+aJeLfUXlt4jzINAXc4S+569hQsMWndZ2ubeIzW0W/UzKBXsIfaSLwrHvkNxoaIq9FnFpXirnnv0FxRYGQXmBAxzDZrKic9LmjNaE1omDIGMCur5Azh8I62R2Ak0el9+eWg8PsMjT4ucax6t32mdN2CJ0tNYXbBwDLVaIFD7XOvc1v08lTexCGG1+FTlYHxQ7JRsnsruqh4zqwUg7D7JkoO1hTogBA9TvtoLxSX2SNVA46GgQFBg+yiwaYDBNH9ufbxhwWVhq4EJH2sE9f3zjIS+FbNaENSP4E6EKXc5zLErxswbsysaOlpzfl10PqZaIFD73BxzXuU37E4HrB8I2horgwVqYkFZ5S2sfXQhZoe1JrgVKwuun1JbYo+U+ozfgwJBgS2lwKYBBsuieF3Bh50vB6ZqAtsIvvPmaHuOYETm+tf0v1YLoiYVdBVL3zpvrBEPSXdYDMWB2NhrgUDtc6ugydx9AMoAlpinqe6Zt0OmC7MMTNjV7S31JuYes/+eWcVwceHq+nWhs6X2yJJzjG8HBYICG0yBTQMMdl/BrUZcFkR5Z5j8I1KNACM7Pl+YPuZZrAmUNX5O8v2irXUBjFUvWcu8CR4kyBG/+hcrB1oLBGqfq+x24x7rox1748kpyJYgVkAFgZe4q9DSx9YKmZMAVln1KSlodsgfv+QemXNO8a2gQFBgD1FgrwAG8toxyZZM7wQNUoqZSpKWhWBXE/8qFTdCm39A8vtiyajJq196SfsAQz5vBAHVIbmyuaXgUy0QqH1uaXos+X2jIUGyVG+kWU2OM6agXeJmiA0hUJRA1b5sjSXHmX+7DzBgPSOg1lJ0l94jq5xz9BUUCApsEAVKgOG2SUijka+inUHSq5JGZ3dMHE8S44CB18QaEASGefmnacAwVCLFMePi98U0/RhJZG5sAlhgmLXzPlFaj583LgYZHKSfUuQJC0tfq32usfuNexwBS7ol+4k9wDnAmkA9h89LsvQ8UmL7MlpWPSlLD6VfLGXsbwIz2dfE7xj4WXqPrHre0V9QICiwIRQoAYZVD9MYN1HfWAQ+me5hIG2sVUiueuxT+tvVeU+h2S6+i5WB2JWjpAvciLcgtfKgXSRGzDkoEBRYLQU2DTCsdvbRW1AgKBAUCAoEBYICVRQIwFBFpngoKBAUCAoEBYICu02BAAy7vf4x+6BAUCAoEBQIClRRIABDFZnioaBAUCAoEBQICuw2BQIw7Pb6x+yDAkGBoEBQIChQRYEADFVkioeCAkGBoEBQICiw2xQIwLDb6x+zDwoEBYICQYGgQBUFAjBUkSkeCgoEBYICQYGgwG5TIADDbq9/zD4oEBQICgQFggJVFAjAUEWmeCgoEBQICgQFggK7TYEADLu9/jH7oEBQICgQFAgKVFEgAEMVmeKhoEBQICgQFAgK7DYFAjDs9vrH7IMCQYGgQFAgKFBFgQAMVWSKh4ICQYGgQFAgKLDbFAjAsNvrH7MPCgQFggJBgaBAFQUCMFSRKR4KCgQFggJBgaDAblMgAMNur3/MPigQFAgKBAWCAlUUCMBQRaatfog9cC5J35f03Q2f6Rkl/U3SVzZ8nK3DO6Ski0g6QNIvKl4+vKQLSvqQpD9WPB+PjKfAESRdQNIHJf1p/Gc28s1tnlvrGTmxpBNK+oSkf27kam3AoAIwbMAirHEIh5Z0yySkXr7BB4V9ehVJJ5X05AQa1ki2RbqGWd1Z0hMlfaeih/+QdANJj6wEGRWfjEcyChxb0n0kPX0LQeo2z82WseWMANqvK+kwkl60pTxm8gGvBQwQ87ySbiHpoZK+VuiZ59Fary3ptJL4/0dPGtRzE4r7x8A32Mw3lMSCHyTpdKnP50j69uRZxwegAGDh9pJ+IKkFLLCWp5F0BUkXlXROScdIJP24pM9IequkT0o6nKT7SnqeJH4b09ij15KEBvD4EQf5uAlkXEzSbSS9YoOBEWO9ewNo4Fz8V4CGMduq+A5r8QBJT6oEC0dJloirJ5537tQD4O9zkt4n6Z2Jf10j7eeHpGf+TdKNJF1cEvv0yG50vM95ekv6x0+HlXQ1SZeRdDl3/vgNCxXPvk3SayT9pWOmrXPzn7Dz+FRJ75G0n6QfF6m5vgdazghzQ2ZhnQjQ0LFmJcBgQOFOScNj48O8hwDDkRKo4MCwmT6VGDTCg4PCIXmapMd2MH/GcylJT5D0MkmPSiZXhNt/S2Ic/HvdBjP99R2Ntp45GOdPAur3Fa+yNmeV9EBJl5f0jiTYMNXyPr/DiFhjBDOggvZ+SddLwKSim4M9cr60jwA3YxgT+xVARIORopX/csxAVvQO82Vt7pHoWuqWZ0+RzgrummjTKYCpHssNIBc+NGSiht+hSLE/sYC9WRJK0f6Od6E83TydGxvd/SQ9OBsqZ+hmkp6Z/o7rjfX9/MCUAA0ACtpvJQFYACZ9rWVuXd9A8UOYAlRojA8Qvsmt5YxAH5Ri1vG9mzypdYxtCDCcQdL1k28bbfKSCSkPAQa+d7sk8C+bUK6f16Ek3V/SHRLjfkM2aZjlSyT9b/odv7o1EDzm6AslNP6BdRBsS/o8ddLW71qpPXGIMJffLc3/jpJeLOnPPfQ4uyQ0EBglVgGEX5emUyInlibWHAY69vCeStLzJZ0paYyY/P9e6niNv3NGoPMfknZb8qeyNo+T9HZJ+Xla4zT2dNcImAunPT8EpnEjsb8ByVgCOE9o9V3WU5QvhDvnAmDRdy7ggR9O1AOUA7Z/PkBNgDkC+8wV/NkEfM3c+rpkfwKOsL4AZLBwfXPDV7v1jEBTACNyKizabnGHAANmL2PyuAdeULEhYfAvlcT/9gELgrUQ9vmBAbk+Ix0+hBO/58zyqulAvjEh9p9M3KiYnu4t6T8l3UvSpyd+by+8bqCNYDksOCXhiXmUw3PrpMHcqkLrgg43lfRsSTzPuo5pfAOXBwBlSnAfzJq1RgjvhXbyZIXjHHypYsDsXzRWtNgfVjxf+wiWi4dL+k0CMZtsmamdU+m540t6VjobWM/6GtY09vWVEljApVCjxODGA2zDw7r29ZKAoXZuJRrxO+cJi9ZesWq1nBHkImtztGRRLfHIGnptxTMll4RNEpTLJi+5JAztHif5uLsEsB0IDps/MPjucDXQQOIf6aCwR9P48F47cRVAngATAv8wz3f1ObGLjXsdyxEaOwBgyNTJwDG3AipwB9GIR3hEJZNgrdDsbzsSiMHcXpj6f9fGUXHZAQHqMFfDjHEBlRgWoA7NFYFFnM9czc7bjyo03bn6XPd3AKlYMXGrYeLvarhIsZqZS6HlXPAua3rMNQCGmrmtm/5L9d96RrBI4jrH3VQD2pca90Z9d27AcILkUsDkhcbepcEinIk6JhYBYU0zBnlPSR9N0apdkeJHTVorfroccIwh7C4CBkAasQhDDBFasjcAivgraQRt4f/3bqIhmmMxuksylw+ZVPu+ccXEUKfEP4zZE5vyziWSQLqOpG9VDIpzRfwPQmEuS8CuAQbjL+8uWMUA3a9KwdjEGeCSaBEqvM86Yd3MLWdLWRhq51ax1fbsIy1nxADGZ3us3XuWCFMGPjdgwI0B6sYHi8DPAxSPlwT+sZLw+UYavAcCQ4FpXsBPDaaj6yUAAxoE1grcJ/w3DOFsyc/3lKTV564WxoG//8YJTH0x+UMR6gAo6Gi0YtzEcyBICTxCUzGBbtkJffECRmcyGTA1DzVvzeE5grHm1F6H+mYfYckgUBaz/Nj8d+jKnjt9CsjE11sT4JmPDZcG3zllAresz8/SQ4Bd6kNgvuTbXx7ZR94nsRcEaz4oma9L55wgY57H8jaXa20JwDDmfGCxBAxhzgeE4vJ8WMoqICaFvWLrCk/DpcPZIcsKSxW8iIh+3AD4pPsytIi9IQaBGIa+rB4zVxO0TRujuLCfsN79rsPtuhRgqJlbaY9ZthuuKjRwLM4EtY9p7IMTSTpZsqTxLbPocO5RanB7/CqdqTExUPm4Ws8ICiy8G9736zGT3LZ35gYM0IeAOrRSBCAbAIaHaQfEhsUBzZPgoK86YhpzZFOXDiDmP76Jr5ZgzCnMcW7AwPdgZMRvEDBqgXoGlGBg3teJRQYGCLggEIp2aUlo1+YG4G98i2BQoy/Ag0AjC46j6A+R2fYNI20eic0hf3XqE+bZ13KmOGT1WeJMmKWKMZoVqqWfs0gi6BZaUnSHBkBi75TM+74fGCRCCjqi5SMk2LddzIt9TTAYmUHk7uMHn+LfNXCH5ooJuxT8yNoTP8T5wZUzR5sbMLSeD9YOsGyphgQBEsH+6MRfmKN3k1q9DgAEQXlkOAA++QbnMm+5GxINlHgt8vH7amGY5om1jYYltQS+W9ZiKcBQM7e+cR4xWVHOk/6XNGoUGCy9Jbdm/k3AAPwOGQCIw9oMrfOzwlrCBwiSJ+4N4f36inMwROvWMwIfJqvvmpm8alnPVT4LCCOOiTGTVouy5TPLoCdng/gb4v+wcFG2oLotARjonNxXcu8BDTSyHtAASJfs0vKo1fDKpKnVAga+OzXuYG7AwGFnodBi8k1mrpj/cVozRUIQYJgnLZUKcygMCCAEICCoineJr7BMEQ6uP6xewENrIpfRdMliQIuxhpmb4NUS0MICBOhD4NLGCNvqTdjxYC2wKfXhmW9r+hcaIMLA/pGJ0JcVYuMwoAPwRaBMyVowKwtrUXIf0b8BDBh5KzDqo+PcgKHlfEBrGCBnlEwZBDmCBcsijA7BDXCArwDSfpq0XqwsaL2eZoA5rGMU/8KVAEjnPRQaA3/mFkXhGdIoTehQl4bmwXxpP9b8vgRgqJ1baXyeX45JUcYyBOi+clKIALhD9XgYj/ECzgM8b6xFY8wZ4Ry/KSl5rXFUFvdXomnp9xYZB48DUNOwAiE7TDFkDwCcUdrZ96P401KAgQFb6hCH1BpaMIedICrf/CFpAQxTD+vcgAFEipBgQUhD9WZN20BdqVJ+/n0ZItCLSF9QNsWW2Bw+nckOFgyvTzjCdNk0pVoadlAw59L8xitt8Dl+t0yalsPS1a+tR6s25IM90dYRSGQK0BBixIEglPlHYR/T/v1+mpJOanPh+9ACjReBONSsb0t7myMjZG7AMPZ8eKsiwoaiYHnzoNmDcnvOADtAPD87PIMWbSm3Q1k5uauOAMmhbAq+jVmbokxd/BbAQvC2WTQ8L2g9S31B6bVzK/XnXcetSoTPKsHag+XArApWu+cmHYIMlyvWVVxSPu6tNNau31vPiK01ykKr1W7VgAFQTDYbfAcQhmLOP7N+IR8A0yjzLUG6+9BxKcDAdxE6aAD4nzkEVr0MTZlaDfjRrXkB1QIYpgqyuQED38OHDCBCE/JmtlrAMCQkh7JV/MHqKgoDrdkomNhLgYS+2FGNsMU3SDEnBAL+fGs1Vee6Djbjg6GMMXna99iDgFNialq0IV88B7dXLqDYc1hf2M/5XvX7qSaHvsT0MMOyFiWAx3fw96K9EWdRyt0v9Wu/zw0Yxp4PAwxDNPW07+IhXhB3nTE7P/ClIQtNDhhqQa25t0g1NtchlkD2ktey/Tgx2ZOWPBTEiiaJ9YRz1wcYaudW2hd+7i0WO8sMwVrHXQ0+kNfX7qH/nHd5vlaSDaXxt54Rc5WjBOZFtkp9rfp3lEnAABZkOwsEqDNufzaYC+B5TBG8TsTbx8Br0ip510qH4kMEqXPI8SlbhUCeYdMQ4GeXCPmNWNoUxjz4Ts1h9c+PXcRSOmnfd2ESBNwRt4A/FhdNycJQAxi6hLjfFH1+VWgBQyoJFNYNVE1riV/wrqWaqnN9dGN8+DhrBGXfN7yvuUUbImAO3zdrhfUAt5C5IjyN6Zc97eML5gYMrXSoXV+jmWfGY88G75XO7NTz0QoYEMK5G8d4DAI2t/4xPqMFCs2QcPDxVrzXIjg9vft4yhIuidq5lfYALk2qSNYoEf5bZhnFYplbUHP3J7zSa/NzAgbG1HJG5qJbia5L/M48aexlU3JQ4GrrhXSOaQkLAwcIf3xursXshBBAc6RZjj6+RJ+OWWI+xjy6zP5dk1wHYCCwBxMktQ6IaYCBETcA6JoCGOzAMs+8DoUXVn2Wl9rD4gFDi6bsLUXU1Bib4tcqKLvW3TP2FqZupmu+mdMx91/nv3vmhiZJEOQU10ArHWrXd92AofV81AAGn5qda7HM1wAD/KYrqLFWOOSlkVvM5OYaIEZiLwIGLF64E1osdn5dugLVPc/o+t0rkzlAHyNoW85I7Z4YM46l32GexLNhpYIXkVFH5UrvQm0ew9yAwYrt4K/qiiz1BU/85qhNqzSTEhkELZpvH2HmdknQD1o2rhhoi5Zjvsk5XBK+GmbuWzfQha+dSNmuKphjXBIEYdb40Jm799tNOdxzuCTGaEPeKtG1v3C9oGHxXJdQ8haWFkHStz9ZL0BJl889f8f2Mqlqc92XMbdLYuz5qAEMfPscKQsIYEfBHRilxZfYfuirD1NrtvcCkD5LCo5fJ89v1gEYSu6WIQEy1mLnlUEytPKAUu/+7FIyLJ6pC8C3CrzWM2L738cCtPa5ruc5M1iCkMUkG5C1hSJYk1bOZWhc9gc/I6WZ2MO/MpG5AYOhRVJt+sze3uRrmp/3N9cWbvIWirGLMjdgsOwQgA1+OnO5eGE6xcLAd3wwKUIZ1wGZFlhvoH+esgIioikAAA09SURBVOppUxv06AMov1CZVoTWSAQu8SlTD/ccQY9mJWnRhjxz6zJre3Nxl+CxoL6u2Icxe7RFG7K9TD9TS2nbWOcGDGPPRy1ggI/Y5XWcQYJVsfCdJAU0wpdIK+uq4NgSGGhVaRGiLYWb1gUYWubWt0+9da3FYud5SZdr0CsZXUHsdo67AHrrmWo9I7b/UQAtrb22z1UHPfpxcQ6w5BP7gsUUJdKHAJTmAGAgAJUg4H3WZG7AYAx1yIztzXJ+MHYISQPsS/vzZuY5CgnNCRjsjgaYW5c5eg4Lgy00dAAYUIWMVEsYIBkZMMSh3P/atErcR9R6ICiLVkNrz1DGxnzY/KamVY7Vhrz5s4u52f7Gz83e9RfTeM1zTjBbm/VgGjL7oKZuQ4lp8PucgGHK+agFDKYEEajKWmHdg998V9KHJH1vII+/JfUQvgE4puw5jWBTAmxLabfrAgwtc+vbF2MsdnzLg+yue2WML5LuinDzAZ7+HOOLrymTPrSvW8+Ijb0mEybvd52AgX32mFTiHLBce/+PnwNrQbwJFqAD7Ie5AYMJDRa6r9iFAQZ8Kh4YWI0BtOC+C4tMg+ti2DUMMH9mTsDgfZtdgMF841MtDBR/wuUAgqQKWkszAUAk8lDhJjvooGrWFC0d0JCnw/q+fXxFl3beMk4LhML8P6ZwkwcvLam3/r2uTBO7/KzL3WCWM4p0Tc0Xh1a2n9jrNYWBDEyjDc113fCcgGHK+agFDAQZ4z4D8GKCLeX4dzF53J1DhZvsHVw/FB2CjwHYa5jyugADY0aA1c6t66yaps+tqLi8rNJp6Vz7GIX8LPpU2K64KwuWxBefA/RSv12/t54RhCWKWY1LcMx4lnrHA61aMOvHYvuUEIN93NtzAwafPtPnK8QsSRQ6WqjPb/dCit9yP7wBCuo64J8kp3RqmxMw+DgMNBs2G2Y0aIxvleIzRN6b9m01FHAnlFK+bJ6UUSVwkrmTa97KEG0jfT0V+BiqHujrDfAeDJgLd4i0zRsMGsHOmtGm+u9NI6Ki3Bjzurk0WqO5vWUltzBYtU4ERJ6FYvue/VwjOGr2reVN800Cl0oNwIYJsfVeg6HvzgkYppyPWsCA0GHdUDrGFPgxmrOPay6i8+5BX9W2z0/MddiAaSqzzhXD4ONmhix7rXPz+8JbhVsyjviGxbURBJ4rgiYLuJo7d3MYv0e7nxTZ7ybSckaMBzF+LEk1vv/SGV3V73ZrNBavkqLXNSZTfuA7vl5GVQwDzJDqUaSX1fhmYfKYj9gAoDPAgV2wQkqTRWnm9yMwcIQr5kQ2JfmkVl2PMbBp+C6Rumi+U8ruGpHmBAx5PjGClQNMH5hEMbmRL43wxcTD36DBgalUKjXsaUMaMcLqzek5+/7/B6OkvrjkCeSPFtB3SRSZC3ynJoMBjQ2tmlKjCI+vpSAvvk9QJb9zkQ4AjpgNgBIZMoCLoUJDmMmwLkEz/hszOhYPv6a4qCgBDj1qLl/yG3+sNsQ3YFDsPbQau2wLRg8gwqLDWAB4dhCJ3SAbggjk0t4EkHATK+fA9ju06gJhaIS4hBB+pSurLQaIGgxzMrc5AcPY84EbwWJjhgQiVVPhU/AcGnvVAo7JVCHgjyJJ3ANCjZQuAWCAkbgd1rtUjpt+ON9YU1l76MW7nHOsYxZ4zDOABMAf17Xvn0AnpeM96M9LsgN49zEJZ9yd57FmUSWXNpTKPGZu1t1Yi53tcXgD1hiCGk1JhG8QMMpaAEjwm1tQHjyStST9lXOFVbZrLZg/gImKtKwtFgQK21FIK3++9YyYlZNAzVXdoTMXoMAyQ1A8FiW7nmDo2/AwlCx4H3TDdUOGH7zfbpD+F8Pq+xAEI3WPgjz8s8Zmh4gfSxXXuvx2CHi0aRgeBUU4sAg2KhQCIPAn5re0+XEgRGCUoGIYN+Y/Ck1whS8Mu+Yg1xB/TsBgzAPthIWCeYDQ2GxsYoQrhwDhwt+5b4ALTZgnB8qKuSA8cGlQkhQa+7sPDIz5eya65sk3yNDANJ3TCvRI2W4AYFfFvK7vgfapIwFzoiw1c7OGsOcmSxgkFpWhdWVfIAixEgGWWEuYBGazvP6ElfPFotJyjblf01ZtyBgcF99gTYFxcZcDa4NVx8Aac0BjYm/yLPdLYEHyMQ05Han2RyU2IpYJxMPqxL7gnpU879+YOzEqNWlQaEHETWB1mlKOOh/znICh9XzgEmIPQGv4jxV+g/9QUhiACf19g8bQC0A31LAeAJgBFXmDSQJSawC1f5d9B89DyLGXqT1jY0ZBALxw/TjnBAufB8cISxQi9pTdm2Hf5j0ulUMAWOVYyiTDmwGfgH/4grWhYmlj52YlvXFJjimmZkWrzEIJAEYLBixDE/Y7AgoQgYxgHeEp8M4+xQN642Mnmh9eSmAfwBKh11W/pfWMsA5YtpBhQ+e6Rs6s8hkLPu+jQz4W1oFAYBRY3JmAN84Xfz8YHWtdEquc8Cr7IpKaYCUQGWbmKRdZrWLcFgWOKQ/Gw6IS2c+hsQbYQqgjuLt8sabp8U5NoNZc86JfgBFMg3gOwBCNuBQYEuZ0mIVvmJh5B2ZSe2Wzz3SYWgl0rrlbdgCWMQACwgIrA6AJUAeA9o39SIAXVoya68QRBMw1d/FNHT9jBHTBjAGYtWswtd+x7yNEoAHBv1jbALqAHhPcmJkxfyPYAaHsxfwiMUAKa4RiMyf4GjunOd8bOzeLv+pKi5xzfLXfQvEALACWiP7HSsva8t9ox1gu8viuljNiQhdrlE/NrR3fOp/DUoByM5SpaOOzct1YwgzMmTsDXnwwfrLrgGGdC9vat7ll8MOVBKjFFGBa7/LFslEQ0ETSjvH1to6d501b5RIXNIJSRDnvMA+0ct6pZd6mDWEargleGzOXlnfM4kHFT6xJJW2F53HFoXnVxOmQJ01GC+tZ43dvGfteehYtG00Ji1DJKgOAw4KB+wZgkTe0MywMWAM3HSS1rlHr3LzFbmpsUutY+543oYjFFldH6Qba1jPC97Hi2qVmc4176e/4xIFSOrldRgXIYq+bAmcZaljz4Sv70DYAw9JLON/3MXWC8GFypYtQ2AxYDzB5910/i2DFbQFTLF1sNMcsTEvh2mlM8rWNy7QwleGbxqebN4AU+xiXl/cBz5GGVTvGoefsAOILZE2GYm/MCoObowZUmabFfS0lITnHXDb1GxZ0SlxMzVXEWKFwhREj01WTwZgp87U6J5s699Zx1cwNyyuAHnemBcAhjOYMqG0dtz1vwYi4RobiO+z51jOyDmVqLC3y93x9kK4L2PzzuH+Iq/twVtAJ8GAxiAe7VC0Aw1xLtex37KpjuyURTWpI8KBFADBgiH2aPGtPsBCaL0iyRuMfO0ur0Il1ZIwPlNQsTIp50R1iC/DdY2rFmoBvFL8nAoGAxS6AMXYOY9+zSnZ9qcL+u33z7Op7les3du6res+C8hBuxB8MBXohQNCUiV8YslqhWRNwR1wO/vS54qZWRZOhfvrmZtVpKf+M9RENHlcXAdm4pDYBPFl6LtbH0iV6rWdkL6+5lxGsfckaZHUifI0dixs7mgv43mcfBWDYhONbHoPXnNGI8NFhiiMgyoADgVMIfwQnQUZc/tUVfe97s5gItGCC9oYCFsuj7H9iCDBw8AErpawXAqEI9CJA0uZlOd74K9EsmQfzxh+HRr8JTL4PMHDA0ZaM5syFeA4YdZfW27VumNbRJJYEe1PWfVXvGqMjmBYggBuLoEj2CXuA84Bvm9gegtgACjWZVj4moi9Sf1VznLufrrl5oYOWCZ/BNE0MCzEDq7BElubZBxjgZfBAsl/IPPHxXjVnxOhBIDjuwE3gHSVa+N/9PTY12YyWqoxiicvXZzHh3iSdksQH4kP+1QIwtCzJep8lcIvATIRhXyOCHGZJNH+LEKHGAIKLrI2lGqYuAojsNjr23nklcT8DB7oGrHAoYP7GuNAW+S6uFeZuFc6ISt+UA2+mP+IL7DIq6I1riShxQB/AgQDDgyrXjaAsanJgQWmtxbHU+q77u6TXwehggH2NQEbOB2662v3BfoPWrE0J1K6bBq39d80NFyA0AjzAQzBLc243pQ6BrxhqFRgt/ZvzzxqzTq1nBOHIOzVBxq10XsXzvvooMgLFami/mosYVy+gkODyCyfLAuAQNyfWtX0SAQIwrGIp5+uD9cL8ShwA+dyY3olmRViSz5yna83X8/QvYUm4Swr840IrgslA8piPW8DN9JGs9gusGWZdDjGWEDQYopJhbF0Bd6sd3Xb1ZuncCBLOByli1G6gBgPng9TsWqCwXZTZrtkQyY+7lSwJ/PAIN+KiuIdolwE0wAlrbs0NuZZOyZ0RAAPANmnKBMp/OdXeOZjiFYBhuw5SzCYoEBQICgQFggKLUCAAwyJkjY8GBYICQYGgQFBguygQgGG71jNmExQICgQFggJBgUUoEIBhEbLGR4MCQYGgQFAgKLBdFAjAsF3rGbMJCgQFggJBgaDAIhQIwLAIWeOjQYGgQFAgKBAU2C4K/B99iqUZKAVPcAAAAABJRU5ErkJggg==" width="262" height="42.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">In this case the frequency is determined </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="19.5" /></span><span class = "S2"><span class="S0"> that would provide the desired phase margin of the control system and is calculated </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">α</span><span class = "S2"><span class="S0"> so that </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="19.5" /></span><span class = "S2"><span class="S0"> be the cutoff frequency to 0dB of this system. The controller is centered enough to the left of </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="17.5" height="19.5" /></span><span class = "S2"><span class="S0"> so that its effect is negligible in the phase of </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="87" height="19.5" /></span><span class = "S2"><span class="S0">. As in the case of controllers by phase advance, the procedure is not exact but approximate, which is why you have to introduce an additional margin of security and do a check at the end.</span></span></div><div class = "S4"><span class = "S2"><span class="S0">The variables </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAAnCAYAAABdRFVFAAAE40lEQVRoQ+2ZVcgtVRiGn6NiBxxbxLgQWzGwC7HBOih2oIKFHdhii2IHigF2YyEiNpigoGLgjXGhIoLdzXP4FizGmdmz9plz2ODsq5/9r3jXu971frGnMHwaGZgycNPMwEBOizoGcgZyxjOPQTk9KmcOYA1gA2AB4F3gBeCn8e5msmd1VY7jNgSuBF4ELgVWA24F3gIOBb6c7KOWo+tCjmN2BS4HngBODqWonOuA/YBjgauBf8ohTO6MLuRsDtwGfBREfJYd50zgXOBB4BDgu8k9ajmyUeSsANwBrBLEPFrZIpHzCrA38Gk5hMmd0UbOfMAlwBHAA+Er3zSQ8zawB/Dh5B61HFkbOTuHalxVX6mqZk7gYuA44H9FzmLATcBOwMPAwUBVNfMAV4SiDOf7AJ+X389YM0wplgaWA/6My/khVpoLWAuYG/gWeB/4fZxdmpQzDXgoFjw+SKiuvyhwN7BVRDHVVSVwHExtczy42E4CngVuCJ+ToPzjuZYCzgY2A04FHimNpnXk6DXXAgcCHwC7A+/VIF4JuB9YHbgeOAH4tW82svW8jMuAXcIHvZi/R+xnwmok1QJ2A94owVdHTlowRaojgSTZfG2fXPKhJnWVYGkbuzhwI6APXhiKSGrxMi8ADqrxxoWBu4BtgWKMdeToHXcWnEriTBKV+cz46C/nAKcBrwN7AR/HRuI/OjJ3vzoLOC8DkZMjuQaPX7qCrJKTRyAPvT3wcs1iCwE3h1SfAfYHvui6aeG49cIvloynaxBImfgiEVG3izUPAG6fWeTkh26LQG2AC8/eOnz2UIKGKvk7Am9mM9YBHgckru7/KwL3AWuG+lRg5xKnqpw8AjXJUMBGAbPjNsPugyQjjp6xRUOJYuJ5b2xUl3IYqSyU/ehXj5WAqpKTM119v2nd5YF7gPXDB8yi/yrZtGBsHhwuigvJ98r9cd8gMl9ej7FgrnpVJwil5Kgaq3IjxvM1hWinTQsGbQy8FOMPi4iVT0/k1JU3eddAk/ZJFV1ilZxcxnXKWTfkLUDNL0m24LzMBuhtfwA/jpiYe0pVGWJXGeY+dU8m+aLdBOd+UgLSsVVyzEB9JoZHo9ExwM+xaMo1NgXMfTS6zuYWaxiWTRatyYyG3qjRp5rhpnNotEYfs/CqclaO563Z7hl40rwFgWsA2y3jXuJ/yHHxpA7rklRpLxGk6QEe7rkRxCwTkUXy/fu1MEMVk5Iy9xpVsDrfvMYyQcM9CvgeWDWemBF1XmD+UJHtWp+TSeE20YR7qgVrE87pl1WXBPqdhdspsZGlw7IBzoy4rV+sMvQBk0IzUpO1JP1NwhhV5enA1Lhmv6/LpZIKfIZbBp6vI2QbVS2MfdZmyIcHYRa+a4cf3gJ81fCURuGcjmdUs6vkmaZbllR7yq/GZMsMjfWqStXuAa3h9LZZ2QfqjLNPclIa8DRwBvDbCGZVg3nI+S2eU3I5Xcd2xtknOapFb9gBeHIEUs1U7/J5zepfLTrj7IscG0uG1K2j3nqnhRz9zPaBP/M0eUJXFZSOK8HZm+e0baph+sSawnXpAWdkfBHOvpQjYFup5kapMnbtjeLXUZthnVsFM3L6DnM74+yTHBVyYrQvbGPYMjXUmhONMucOZ+ptSGecfZLTG/pJWWggp+UmBnIGcsZ7qINyWnj7F9dPJTcsubDsAAAAAElFTkSuQmCC" width="35.5" height="19.5" /></span><span class = "S2"><span class="S0"> and </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">α</span><span class = "S2"><span class="S0"> are obtained by solving the equations:</span></span></div><div class = "S4"><span style="vertical-align:-29px"><img src="data:image/png;base64,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" width="122.5" height="65.5" /></span></div><div class = "S4"><span class = "S2"><span class="S0">Finally,</span></span></div><div class = "S4"><span style="vertical-align:-15px"><img src="data:image/png;base64,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" width="114.5" height="36" /></span></div><div class = "S4"><span class = "S2"><span class="S0">COMMENTS:</span></span></div><ul class = "S5"><li class = "S6"><span class = "S0"><span class="S0">The algorithm can only be applied if the equation </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" width="122.5" height="19.5" /></span><span class = "S0"><span class="S0"> has a solution.</span></span></li><li class = "S6"><span class = "S0"><span class="S0">In the case that </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="45" height="18" /></span><span class = "S0"><span class="S0"> is designed with </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="53" height="29" /></span><span class = "S0"><span class="S0"> for </span></span><span style="font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal;">k</span><span class = "S0"><span class="S0"> natural sufficiently large and is applied</span></span></li></ul><div class = "S4"><span style="vertical-align:-35px"><img src="data:image/png;base64,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" width="108.5" height="78.5" /></span></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Exercise 16: Determination of the system's gain and phase margins.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Consider the laboratory plant with position output. Using MATLAB, check that the gain and phase margins of the digital system and the equivalent system that results from applying the bilinear transformation match.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Parameters of the plant </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kpot=1.62;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">N=9;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82/0.017;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">planta=tf(</span><span class="S0">[</span><span class="S0">Kpot*K0/N],[tau0,1,0])</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="4B534F71" data-testid="output_0" data-width="1046" data-height="100" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">planta =<br> <br> 8.682<br> ------------<br> 0.26 s^2 + s<br> <br>Continuous-time transfer function.</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Discrete time model</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plantad=c2d(planta,Ts,</span><span class="S14">'zoh'</span><span class="S0">) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Bilinear transform</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plantaw=d2c(plantad,</span><span class="S14">'tustin'</span><span class="S0">) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Verification of the coincidence in the calculation of margins</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">display</span><span class="S0">(</span><span class="S14">'Margins of the bilineal plant'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="076C26F5" data-testid="output_1" data-width="1046" data-height="18" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Margins of the bilineal plant</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[Gmw,Pmw,Wcgw,Wcpw]=margin(plantaw)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="AD85B2AE" data-testid="output_2" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Gmw = 23.1838</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="43F15059" data-testid="output_3" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Pmw = 35.1259</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="0EB633BB" data-testid="output_4" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcgw = 27.8243</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="DBE8D9C7" data-testid="output_5" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcpw = 5.1783</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">display</span><span class="S0">(</span><span class="S14">'Margins of the discrete plant'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="B6191962" data-testid="output_6" data-width="1046" data-height="18" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Margins of the discrete plant</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[Gmd,Pmd,Wcgd,Wcpd]=margin(plantad)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="8897151F" data-testid="output_7" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Gmd = 23.1858</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="53BE4908" data-testid="output_8" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Pmd = 35.1258</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="4FC50220" data-testid="output_9" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcgd = 27.6481</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="BB483925" data-testid="output_10" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcpd = 5.1772</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(plantaw)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(plantad)</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'bilineal system'</span><span class="S0">,</span><span class="S14">'discrete system'</span><span class="S0">,</span><span class="S14">'Location'</span><span class="S0">, </span><span class="S14">'SouthEast'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S15"><span class = "S2"><span class="S0">As it can be seen, the margins obtained by the </span></span><span class = "S2"><span class="S11">margin()</span></span><span class = "S2"><span class="S0"> command of the two systems to be analyzed are exactly the same</span></span></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Exercise 17: Design of a phase advance controller.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">With the help of MATLAB, design a phase advance controller that makes the closed loop system, for the position control of the </span></span></div><div class = "S4"><span class = "S2"><span class="S0">laboratory plant, with a sampling period Ts = 0.01, have a phase margin of 45º and a static error of the 10% in front of a ramp input. Consider an additional safety phase margin of </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="52" height="18" /></span><span class = "S2"><span class="S0">.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Parameters of the plant</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kpot=1.62;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">N=9;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">K0=0.82/0.017;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tau0=0.26;</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">planta=tf(</span><span class="S0">[</span><span class="S0">Kpot*K0/N],[tau0,1,0])</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="DCC5D609" data-testid="output_12" data-width="1046" data-height="100" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">planta =<br> <br> 8.682<br> ------------<br> 0.26 s^2 + s<br> <br>Continuous-time transfer function.</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Discrete time model</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Ts=0.01;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plantad=c2d(planta,Ts,</span><span class="S14">'zoh'</span><span class="S0">) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Bilinear transform</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plantaw=d2c(plantad,</span><span class="S14">'tustin'</span><span class="S0">) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculation of the necessary gain</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Velocity error coefficient</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">errordes=0.1;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kv=(1/errordes);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculation of the gain increase needed</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% (Controller gain)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kvplanta=Kpot*K0/N;</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kcontrolador=Kv/Kvplanta</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="3C6A0C6E" data-testid="output_13" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Kcontrolador = 1.1518</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculation of the phase margin</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[Gm,Pm,Wcg,Wcp]=margin(Kcontrolador*plantaw)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="95E3D097" data-testid="output_14" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Gm = 20.1290</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="EFB25C90" data-testid="output_15" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Pm = 32.6959</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="82A9D64F" data-testid="output_16" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcg = 27.8243</div></div><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="29443FA7" data-testid="output_17" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Wcp = 5.6375</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculation of the phase that the controller must add</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">gamma=45;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">delta=15;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">theta=(gamma+delta-Pm)* pi /180;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Calculation of the alpha parameter</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">alpha=(1+sin(theta))/(1-sin(theta));</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Search for the point where the system has the gain 1/sqrt(alpha)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">[aux1,aux2,aux3,wc]=margin(Kcontrolador*plantaw*sqrt(alpha));</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wc</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="921DD469" data-testid="output_18" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">wc = 7.4975</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Pole and zero placement</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wz=wc/sqrt(alpha); </span><span class="S10">%Avance</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">wp=wz*alpha ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Construction of the controller</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Gcw=tf([1/wz,1],[1/wp,1]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Reverse Bilinear: obtaining the Controller</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Gcz=c2d(Gcw,Ts,</span><span class="S14">'tustin'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="A114FF32" data-testid="output_19" data-width="1046" data-height="114" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Gcz =<br> <br> 2.597 z - 2.481<br> ---------------<br> z - 0.8841<br> <br>Sample time: 0.01 seconds<br>Discrete-time transfer function.</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Frequency response in open-loop</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% (Verifying the fulfillment of the specifications)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Gczplantad=series(Kcontrolador*Gcz,plantad);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Gczplantaw=d2c(Gczplantad,</span><span class="S14">'tustin'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(Kcontrolador*plantaw)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(Gczplantaw)</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">grid</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="96B696DB" data-testid="output_20" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="figureElement" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><img class="figureImage figureContainingNode" 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/+ciRMncq8aGhpwc3MjMjKSf7elS5ei1WrRarVotVq0Wi1arZZx48bxm9/8hsOHD/NjkZycTHh4OOHh4YSHhxMeHk54eDiRkZH0VlZWRlhYGIMHD2bw4MGEhoZy8OBB7sWBAwd49tlnGTx4MP/1X//F888/z9WrV/muTCYTWq0WnU7HDykqKgo3NzcuX77Md5GXl0d/Tp06RXh4OOHh4YSHhxMeHk54eDjh4eGEh4cTHh7OqVOnuJvk5GTCw8MJDw8nPDyc8PBwwsPDiYyM5IdiMpnQarXodDr6stvt/PznP2fixIncq4aGBtzc3IiMjET4YagQhP+nsrKSxx9/nC1btnDt2jUUPT091NTU8PzzzxMVFcV/uuzsbIKCgvj4449pa2ujra0Ni8XCM888Q35+PrJr165RVFREUVERRUVFFBUVUVRURFFREUVFRRQVFXHt2jXul9Vqpbm5mZaWFnprb2+nubmZ5uZmmpubaW5uprm5mWvXrvHZZ5/xxhtv8PTTT2O327mbqqoqdu7cyaxZs/D09OR+nDhxgokTJ7JixQruxzfffMPKlSuxWq1YrVb6+vDDD/n1r3/NwYMHaWtro62tjQ8//JDJkyfzxRdf0J/s7GyCgoL4+OOPaWtro62tDYvFwjPPPEN+fj4/FKvVSnNzMy0tLfRVU1PDrVu38PPz416NGjWK2bNnk5uby+eff86/U3t7O83NzTQ3N9Pc3ExzczPNzc2cPn2agoICZs6cSX5+Pj8GmZmZFBUVUVRURFFREUVFRRQVFVFSUoIiOzuboKAgPv74Y9ra2mhra8NisfDMM8+Qn59PfwoLC5k1axaffvopbW1t1NfXk5mZyeTJk2lpaeG7sFqtNDc309LSwg+lqqqKnTt3MmvWLDw9PbkfJ06cYOLEiaxYsYL+XLt2jaKiIoqKiigqKqKoqIiioiKKioooKiqiqKiIa9eucTeZmZkUFRVRVFREUVERRUVFFBUVUVJSwg/FarXS3NxMS0sLfdXU1HDr1i38/Py4V6NGjWL27Nnk5uby+eefI3z/VAjCPzU1NTFnzhxaW1txdHRk/fr1VFdX09zczM6dO/nv//5vZNu3b2ffvn38p7Lb7bzyyivIpk6dyrlz5zh9+jSPP/44sri4OGQjR44kJiaGmJgYYmJiiImJISYmhmHDhiHz9/dn2rRp/Ks5OztjsViwWCxYLBY+/vhj5s2bh6y6upqCggLuZu3atciioqK4XxkZGdTU1HC/jEYjra2t3Mmf/vQnZIGBgVy/fp36+noeffRRurq6SE5O5k7sdjuvvPIKsqlTp3Lu3DlOnz7N448/jiwuLo7/RJWVlcj0ej33IyoqCtm6dev4Pjg7O2OxWPj4448pKipi3bp1KOLi4vhPZ7PZqKurQzZr1iyMRiNGoxGj0UhERAQyu93OK6+8gmzq1KmcO3eO06dP8/jjjyOLi4ujP/Hx8chmz57NlStX+OSTT3BwcODy5cukp6fzY7V27VpkUVFR3K+MjAxqamq4m5EjRxITE0NMTAwxMTHExMQQExPDsGHDkPn7+zNt2jT6Y7PZqKurQzZr1iyMRiNGoxGj0UhERAT/iSorK5Hp9XruR1RUFLJ169YhfP9UCMI/JScnc+3aNWR79uzhtdde48knn2TIkCEsWrSIv/71rzg4OPDQQw9x/vx5FCUlJRQXF9PQ0EBLSwvp6enExcWxf/9+FIcPH2bt2rVs3LiRuro6+tPQ0EBOTg45OTnk5OSQk5NDTk4OOTk55OTkkJOTQ1lZGXdSU1OD1WpFlpCQgE6nw8fHh9WrVyO7cuUKNpsNnU7H1q1b2bp1K1u3bmXr1q3MnTuXxsZG3N3dKSwsZMCAAfTHbreTn5/PqlWryMjIoLW1lbtRq9Xo9Xr0ej16vZ7Q0FA++OADFO3t7fSntraWQ4cO4ejoyNy5c+nt6tWr7Nq1ixUrVmAymcjJyaGhoQFFVVUVFy9eRHbr1i2Ki4v54osvuJuMjAwOHjyIo6Mjd/LVV18hW7ZsGe7u7owYMYLp06cjs1qt3ElNTQ1WqxVZQkICOp0OHx8fVq9ejezKlSvYbDbu5PPPP6e4uJhLly5x6tQp1qxZQ05ODjabDdnVq1fZtWsXK1aswGQykZOTQ0NDA33Z7Xby8/NZtWoVGRkZtLa20p9Dhw4hmzp1Kora2lrS09MxmUwkJCRQWFiIzWajN4PBgKOjI+Xl5dTW1vLvplar0ev1hIaGMmfOHBITE1m8eDGyK1euUFdXh6ykpITi4mIaGhpoaWkhPT2duLg49u/fj+Lw4cOsXbuWjRs3UldXx900NDSQk5NDTk4OOTk55OTkkJOTQ05ODjk5OeTk5FBWVkZ/ysvLUezdu5fs7Gyys7PJzs7mvffeQ1ZTU4PVakWWkJCATqfDx8eH1atXI7ty5Qo2m43bsdvtLFiwAIPBwNtvv83DDz/Ms88+y4gRI5B99dVX3I3dbic/P59Vq1aRkZFBa2srd7N3717Wrl3L66+/TkVFBbdjt9vJz89n1apVZGRk0NLSwqVLlyguLmb//v30p7a2lkOHDuHo6MjcuXPp7erVq+zatYsVK1ZgMpnIycmhoaEBRVVVFRcvXkR269YtiouL+eKLL7gdnU7H1q1b2bp1K1u3bmXr1q3MnTuXxsZG3N3dKSwsZMCAAfSnvLwcxd69e8nOziY7O5vs7Gzee+89+vP5559TXFzMpUuXOHXqFGvWrCEnJwebzYbs6tWr7Nq1ixUrVmAymcjJyaGhoYG+7HY7+fn5rFq1ioyMDFpbW+nPoUOHkE2dOhVFbW0t6enpmEwmEhISKCwsxGaz0ZvBYMDR0ZHy8nJqa2sRvl8qBOGf8vPzkU2YMIE5c+bQ15gxY7hx4wb/+Mc/WLNmDYrIyEgMBgPvvPMOOp2OF198kdTUVGbPns3y5ctZunQpM2fOJDk5mfj4eHx8fDhx4gR3cvLkSYxGI0ajEaPRiNFoxGg0YjQaMRqNGI1GUlJSuBNfX1++/fZburq6ePbZZ1FcuXIFmaOjI2q1mr46OztZunQpspSUFDw8POhPU1MT48ePZ8GCBaSlpREbG4tOp+P8+fPcr/LychQ6nY7+5OXlIQsODkatVqOoqKjAy8uLxYsXs3nzZsxmM0ajES8vL8rKypAlJydz8OBBZFarFYPBgNlspj91dXWsWbMGJycnfv/733MnQUFByD766CNknZ2dfPHFF8jGjh3Lnfj6+vLtt9/S1dXFs88+i+LKlSvIHB0dUavV3Mn69esxGAykpqYydepUUlJSiI6Oxm63U1FRgZeXF4sXL2bz5s2YzWaMRiNeXl6UlZWhaGpqYvz48SxYsIC0tDRiY2PR6XScP3+eOzl48CAjR45k1KhRyP785z/zyCOP8OKLL2I2m0lKSmLu3Lk8+uijfPPNNyjUajXBwcHIdu3axQ/B3d0dRXd3N7LIyEgMBgPvvPMOOp2OF198kdTUVGbPns3y5ctZunQpM2fOJDk5mfj4eHx8fDhx4gT9OXnyJEajEaPRiNFoxGg0YjQaMRqNGI1GjEYjKSkp9OfSpUvInJ2dSU9PJyoqijfffJOGhgYUvr6+fPvtt3R1dfHss8+iuHLlCjJHR0fUajW3o1KpSExMpLCwEB8fH2QnTpygoaEBWVBQEP1pampi/PjxLFiwgLS0NGJjY9HpdJw/f57baWpqYsqUKTz33HMkJyezfv16AgMD0ev1dHZ2omhqamLy5MksWLCAtLQ0YmNjGTt2LGlpaRgMBqKjo+lPXl4esuDgYNRqNYqKigq8vLxYvHgxmzdvxmw2YzQa8fLyoqysDFlycjIHDx5EZrVaMRgMmM1m7kVnZydLly5FlpKSgoeHB3dz6dIlZM7OzqSnpxMVFcWbb75JQ0MDd7N+/XoMBgOpqalMnTqVlJQUoqOjsdvtVFRU4OXlxeLFi9m8eTNmsxmj0YiXlxdlZWUompqaGD9+PAsWLCAtLY3Y2Fh0Oh3nz5/nTg4ePMjIkSMZNWoUsj//+c888sgjvPjii5jNZpKSkpg7dy6PPvoo33zzDQq1Wk1wcDCyXbt2IXy/VAg/eTabjfr6emQTJkzgTlxcXLiTtLQ0wsLC2LNnD/7+/si2bNlCfn4+KSkpbN68GScnJzo6OkhOTuZOhgwZQnBwMMHBwQQHBxMcHExwcDDBwcEEBwcTHBzMhAkTuBu1Wo1arUbW1NTEpk2bkIWGhqJSqegrJSWF+vp6Hn/8caKiorib2NhYTp8+jWzdunXk5uYybtw4qqur6U9nZyehoaGEhoYSGhrKpEmTCAsLQ7Z69Wr8/Pzoz5EjR5CNGTOG3qKjo7Farfj7+7N79262bdvGsGHD6OjoIDU1FdnMmTPx8vJC5uTkhNFoxN/fn/5ERkZy8+ZNXn/9dcaOHcudmM1mHn/8cT788EMGDhzIz3/+c6qrqwkKCuKPf/wjd6NWq1Gr1ciamprYtGkTstDQUFQqFXeTlpaGh4cHc+fOJSIiggEDBhAdHY3VasXf35/du3ezbds2hg0bRkdHB6mpqShiY2M5ffo0snXr1pGbm8u4ceOorq7mds6ePUtbWxuBgYHImpqaWLNmDbKUlBQsFgu5ubkMGzaMuro6Xn31VXrT6XTIjhw5wveps7OT4uJidu7ciczd3Z0xY8bQW1paGmFhYezZswd/f39kW7ZsIT8/n5SUFDZv3oyTkxMdHR0kJyfTnyFDhhAcHExwcDDBwcEEBwcTHBxMcHAwwcHBBAcHM2HCBPpTXl6OrKOjg5dffpnt27fzxz/+kUcffZSysjJ6U6vVqNVqZE1NTWzatAlZaGgoKpWKezF27FimTJlCT08PL730EpGRkfQnNjaW06dPI1u3bh25ubmMGzeO6upqbicyMpLq6mqGDh3Kli1b2Lx5M0OHDuWTTz5h3bp1KOLi4jhx4gSyV199ldzcXHx8fEhNTeVeHDlyBNmYMWPoLTo6GqvVir+/P7t372bbtm0MGzaMjo4OUlNTkc2cORMvLy9kTk5OGI1G/P39uRcpKSnU19fz+OOPExUVxb0oLy9H1tHRwcsvv8z27dv54x//yKOPPkpZWRn3Ii0tDQ8PD+bOnUtERAQDBgwgOjoaq9WKv78/u3fvZtu2bQwbNoyOjg5SU1NRxMbGcvr0aWTr1q0jNzeXcePGUV1dze2cPXuWtrY2AgMDkTU1NbFmzRpkKSkpWCwWcnNzGTZsGHV1dbz66qv0ptPpkB05cgTh+6VC+Mmz2WwonJyc6G3RokUMGjSIQYMGMWjQIAYNGsSIESPoa+rUqWRlZTFv3jzi4+NRJCQkEBcXh8lkQq/XI7t06RJ3MmXKFEpLSyktLaW0tJTS0lJKS0spLS2ltLSU0tJS3nzzTe5VU1MTM2bMoLGxEVdXVzZs2EBf3d3dbNq0CVl8fDx3Y7PZKC4uRrZy5UoSExNZuHAhFouFkSNH0p+uri4sFgsWiwWLxcKJEyfo6elh6NChDBs2jLupqqpC9uSTT9JbdnY2O3fuJDc3l4iICKKjo9Hr9ciOHTuGbMWKFcyYMQOZm5sb2dnZREVFcSfJyckcOXKEqVOn8rvf/Y7+qNVqPDw8kN28eZOOjg5kDz30ELdu3eJeNTU1MWPGDBobG3F1dWXDhg3cC0dHR44fP85f/vIXcnJykGVnZ7Nz505yc3OJiIggOjoavV6P7NixY8hsNhvFxcXIVq5cSWJiIgsXLsRisTBy5Ehup6qqCllwcDCy8+fP09PTg6yrq4sJEyawcOFC9u3bx5dffklWVha9TZgwAVlVVRX/blarlZ/97Gf87Gc/w9nZGYPBQGtrK7L169ejUqnoberUqWRlZTFv3jzi4+NRJCQkEBcXh8lkQq/XI7t06RL9mTJlCqWlpZSWllJaWkppaSmlpaWUlpZSWlpKaWkpb775Jv05f/48skceeYT333+f999/n+HDh2O1Wvntb3+LzWajr6amJmbMmEFjYyOurq5s2LCBe2Gz2c6/sJMAACAASURBVDh37hw9PT04ODjQ0tJCU1MTd2Kz2SguLka2cuVKEhMTWbhwIRaLhZEjR9JXbW0tn3zyCbJ3332XF154AZPJxNtvv40sPT0du92OzWYjLy8PWXx8PG+++SYLFy7k008/xdPTk3tRVVWF7Mknn6S37Oxsdu7cSW5uLhEREURHR6PX65EdO3YM2YoVK5gxYwYyNzc3srOziYqK4m66u7vZtGkTsvj4eO7V+fPnkT3yyCO8//77vP/++wwfPhyr1cpvf/tbbDYbd+Po6Mjx48f5y1/+Qk5ODrLs7Gx27txJbm4uERERREdHo9frkR07dgyZzWajuLgY2cqVK0lMTGThwoVYLBZGjhzJ7VRVVSELDg5Gdv78eXp6epB1dXUxYcIEFi5cyL59+/jyyy/JysqitwkTJiCrqqpC+H6pEH7yNBoNips3b9JbR0cHVqsVq9WK1WrFarVitVrpS6fTodBoNCieeOIJFK6ursjq6+u5k7Nnz2IymTCZTJhMJkwmEyaTCZPJhMlkwmQykZ6ezr1oaGhg8uTJnDt3Dllubi7e3t70lZeXx7Vr1/jFL37BokWLuJvy8nJ6enqQBQUFodBoNEybNo3+ODs7s3v3bnbv3s3OnTvZvn078+bN49q1a8THx7NmzRruxG63Y7Vakbm6utKbn58fer2e6upqTCYTAQEBZGdnI+vu7uZ+nT17ltdeew0nJyeys7O5m/DwcA4ePIi/vz/nzp2jpqaGxx57jKKiIhYtWsS9aGhoYPLkyZw7dw5Zbm4u3t7e3IugoCCGDBlCb35+fuj1eqqrqzGZTAQEBJCdnY2su7sbWXl5OT09PciCgoJQaDQapk2bxu0cOHAAmZ+fHzI/Pz+GDx+ObO3atQwfPpxf/vKXZGRk0NbWRl+urq7Ibt68yQ/hv//7v9myZQsrVqygL51Oh0Kj0aB44oknULi6uiKrr6+nP2fPnsVkMmEymTCZTJhMJkwmEyaTCZPJhMlkIj09nf5UVFRQXV1NZWUly5YtY9myZWzduhVZY2Mj+/bto7eGhgYmT57MuXPnkOXm5uLt7c29UKvVdHV10djYiI+PD7m5ucyZM4c7KS8vp6enB1lQUBAKjUbDtGnT6KumpgZFfX09WVlZZGVlUVdXh+zWrVtUVlZSXl5OT08PssDAQBRqtZpp06ZxN3a7HavViszV1ZXe/Pz80Ov1VFdXYzKZCAgIIDs7G1l3dzf/F3l5eVy7do1f/OIXLFq0iHtVUVFBdXU1lZWVLFu2jGXLlrF161ZkjY2N7Nu3j7sJCgpiyJAh9Obn54der6e6uhqTyURAQADZ2dnIuru7kZWXl9PT04MsKCgIhUajYdq0adzOgQMHkPn5+SHz8/Nj+PDhyNauXcvw4cP55S9/SUZGBm1tbfTl6uqK7ObNmwjfLxXCT55Go2H48OHIampq6C0hIQGLxYLFYsHf3587UavV3I5arUahUqm4m4sXL2I2mzGbzZjNZsxmM2azGbPZjNlsxmw2U1JSwt188803+Pv7c/HiRZydnbFYLISFhXE7H374IbKwsDBUKhV3Y7PZUKjVanrTaDT0R61WExERQUREBIsWLSIyMpI9e/YQEhKCbNOmTdjtdm6nu7sbhUqloreNGzfi4eHB/PnzyczMxMXFBU9PT76rxMREbt26xZAhQ4iLiyM0NJTk5GQUoaGhbNq0Cdn58+c5evQosoSEBHQ6HePHj+eNN95A9umnn3L16lX688033+Dv78/FixdxdnbGYrEQFhbGvRo0aBB9bdy4EQ8PD+bPn09mZiYuLi54enrSm81mQ6FWq+lNo9FwO+Xl5bi7u6PT6ZCp1WrKysqYPXs2Dg4OyC5evMi2bdvw9/dn1apV9KZSqVDY7Xb+ndzc3LBarVitVqxWK11dXVy6dIkXXniB21Gr1dyOWq1GoVKpuBcXL17EbDZjNpsxm82YzWbMZjNmsxmz2YzZbKakpIT+aDQannzySdzd3VEEBQWhaGtrQ/HNN9/g7+/PxYsXcXZ2xmKxEBYWxr1SqVSo1Wo8PDz4/e9/j+zo0aOcP3+e27HZbCjUajW9aTQa+rLZbCjWrl1LTEwMMTExvPHGGyja2tqw2WwoVCoVvanVau6mu7sbhUqloreNGzfi4eHB/PnzyczMxMXFBU9PT/4VPvzwQ2RhYWGoVCrulUaj4cknn8Td3R1FUFAQira2Nu5m0KBB9LVx40Y8PDyYP38+mZmZuLi44OnpSW82mw2FWq2mN41Gw+2Ul5fj7u6OTqdDplarKSsrY/bs2Tg4OCC7ePEi27Ztw9/fn1WrVtGbSqVCYbfbEb4/KgThnxYuXIjs9OnT7N+/H4Wvry96vR69Xo+Hhwf/bh4eHhgMBgwGAwaDAYPBgMFgwGAwYDAYMBgM+Pn50Z/W1laeeuopLl++jJubGxaLBb1ez+3Y7Xb279+PLCQkhHvh6emJorW1ld5aWlr4Ltzd3ZF1dXXR3d3N7Wg0GhwcHJDZ7XYUZ86cIT4+nq6uLpKSkujs7KS0tJQZM2Yg02g03C+73Y7sypUrWCwWLBYLNTU1KCwWC6dPn0ZWV1eHwtnZGYVGo0Fx+fJl7qS1tZWnnnqKy5cv4+bmhsViQa/Xcz8cHBzo7cyZM8THx9PV1UVSUhKdnZ2UlpYyY8YMZBqNBpmnpyeK1tZWemtpaaGvv//971y5coXg4GB68/b2pqSkhOvXr1NQUEBsbCzDhw9HlpaWhs1mQ9HV1YXMyckJlUrFv9vAgQMZOHAgAwcORK1W833x8PDAYDBgMBgwGAwYDAYMBgMGgwGDwYDBYMDPz487uXHjBvn5+SQnJ3PmzBkUV65cQeHi4oKstbWVp556isuXL+Pm5obFYkGv13M3DQ0N/OEPfyAyMpLW1lYUKpUKRVNTE7fj6emJorW1ld5aWlroy83NDcXXX3+NJElIkoQkSUiShCRJ6PV6vL29UVy8eJHevvrqK+5Go9Hg4OCAzG63ozhz5gzx8fF0dXWRlJREZ2cnpaWlzJgxA5lGo+G7stvt7N+/H1lISAj36saNG+Tn55OcnMyZM2dQXLlyBYWLiwt34+DgQG9nzpwhPj6erq4ukpKS6OzspLS0lBkzZiDTaDTIPD09UbS2ttJbS0sLff3973/nypUrBAcH05u3tzclJSVcv36dgoICYmNjGT58OLK0tDRsNhuKrq4uZE5OTqhUKoTvjwpB+KfVq1fj7u6ObP78+bz33nt0dnYi++KLL3j++ecpKiri383X15fCwkIKCwspLCyksLCQwsJCCgsLKSwspLCwkISEBPpjMpm4cOECsoULF9LR0UFJSQklJSWUlJTQ3d2NorKykq6uLmR+fn7cC51Ox8iRI5GlpqbS2dmJrKqqiv3799Of7u5uKioqqKiooKKigsOHD5OZmUlBQQGy0aNHo9FouJNRo0Yha2xsRFFbW4vCYDCgUqmQnTp1CpndbqevW7du0Z/ly5ezY8cOduzYwY4dO9ixYwcvvvgiih07dvA///M/yKZMmYKioKAARUFBATJHR0d8fX2RHTx4kKysLA4cOIDCZDJx4cIFZAsXLqSjo4OSkhJKSkooKSmhu7ub+1VbW4vCYDCgUqmQnTp1Cpndbkem0+kYOXIkstTUVDo7O5FVVVWxf/9++jp69CiywMBAFHv37mXixIm4uLjQ2tpKeHg46enpbNiwAYXdbkfR1NSEzNPTk/4cOHCArKwsDh48yI+Rr68vhYWFFBYWUlhYSGFhIYWFhRQWFlJYWEhhYSEJCQnciYuLC1FRUaxdu5ZXX30VRUZGBjIHBwemTZuGzGQyceHCBWQLFy6ko6ODkpISSkpKKCkpobu7G9nBgwfJysriwIEDKN566y127NjBm2++icxms5Geno7Mzc2NgIAAbken0zFy5EhkqampdHZ2IquqqmL//v30FRAQgIODA7KsrCwUGzduZPz48SxatIju7m7GjBmDl5cXssTERM6ePYvdbmfjxo2Ul5dzL0aNGoWssbERRW1tLQqDwYBKpUJ26tQpZHa7nb5u3brFvaisrKSrqwuZn58fd3Lw4EGysrI4cOAAMhcXF6Kioli7di2vvvoqioyMDGQODg5MmzaN+1VbW4vCYDCgUqmQnTp1Cpndbkem0+kYOXIkstTUVDo7O5FVVVWxf/9++jp69CiywMBAFHv37mXixIm4uLjQ2tpKeHg46enpbNiwAYXdbkfR1NSEzNPTE+H7pUIQ/unhhx9mz549uLq6YrVaeemll3B2duZnP/sZEyZMIDMzE8VLL73Ef6ra2lpyc3NRZGZmEhISQkhICCEhIYSEhNDZ2Ymivr4emZOTEw8//DD3av369chOnDiBl5cXYWFhTJ8+Ha1WS386OjoIDAwkMDCQwMBAZs6cyfPPP09HRweyDRs20J+pU6ciO3bsGAofHx8Uc+bMYfny5UyaNInq6mpkN2/eRDF69GhkVquVwYMHExUVxe1Mnz6dJUuWsGTJEpYsWcKSJUuYPn06iiVLluDn54dsyJAhLFu2DJnZbMbHx4exY8eyfft2ZHFxcahUKmTp6enExMSwadMmZLW1teTm5qLIzMwkJCSEkJAQQkJCCAkJobOzk/vl4+ODYs6cOSxfvpxJkyZRXV2N7ObNmyjWr1+P7MSJE3h5eREWFsb06dPRarX0tX//fmR+fn4opkyZQkNDAx0dHUydOpWoqCgiIyNZuXIlslmzZjFgwAAUVVVVyJ588kn6s2nTJmJiYkhPT+enSK1Wk5CQgOyjjz7iV7/6FePHj+edd95BlpCQwIgRI6itrSU3NxdFZmYmISEhhISEEBISQkhICJ2dncjS09OJiYlh06ZNyEaMGEFsbCyy1NRUHn74YX7xi19w6NAhZElJSahUKu5k/fr1yE6cOIGXlxdhYWFMnz4drVZLX1qtlri4OGRJSUk8/fTT/OY3vyE+Pp6TJ08ycOBA1Go1snfffRfZlStXeOyxx3BwcCA+Pp6RI0dyL6ZOnYrs2LFjKHx8fFDMmTOH5cuXM2nSJKqrq5HdvHkTxejRo5FZrVYGDx5MVFQU/amvr0fm5OTEww8/zJ2kp6cTExPDpk2bkKnVahISEpB99NFH/OpXv2L8+PG88847yBISEhgxYgT3y8fHB8WcOXNYvnw5kyZNorq6GtnNmzdRrF+/HtmJEyfw8vIiLCyM6dOno9Vq6Wv//v3I/Pz8UEyZMoWGhgY6OjqYOnUqUVFRREZGsnLlSmSzZs1iwIABKKqqqpA9+eSTCN8vFYLw/wQHB/PFF19gNBpxdHSkt4ceeohly5bx5ZdfkpiYyH+qAwcOcD/a2tqQubi4cD+io6NJSUnBycmJ+vp6SkpKWLJkCUlJSdwPJycnXF1dCQoKoqioiIiICPoTGhqK7OTJkyi8vb3Ztm0bTk5OXLhwgS1btuDo6MiePXuQWa1Wzp49i2zx4sWMHj0aWVtbG21tbfwrmM1m4uPjcXR05Msvv+TcuXM4Ojqybt06NmzYwJ0cOHCAfwdvb2+2bduGk5MTFy5cYMuWLTg6OrJnzx5kVquVs2fPIouOjiYlJQUnJyfq6+spKSlhyZIlJCUl0VdVVRXOzs74+vqi8PDw4PDhw0ybNo3Gxka2b9/Ojh07uHHjBkajkby8PHo7ffo0smeffZZ7oVar+alKSEjgrbfewtXVlbq6Ok6ePImrqytvvfUWr7/+OrIDBw7wf5Gens7vfvc7HB0daWxsxGq1MnToULZt24bJZKI/0dHRpKSk4OTkRH19PSUlJSxZsoSkpCRu5+2332bdunU4Ozvz2WefUVBQgKOjIy+99BJmsxlFaGgoH330EU888QSOjo54eXlRUFBAUFAQMnd3d/oTGhqK7OTJkyi8vb3Ztm0bTk5OXLhwgS1btuDo6MiePXuQWa1Wzp49i2zx4sWMHj0aWVtbG21tbfSnra0NmYuLC/crISGBt956C1dXV+rq6jh58iSurq689dZbvP7663wX3t7ebNu2DScnJy5cuMCWLVtwdHRkz549yKxWK2fPnkUWHR1NSkoKTk5O1NfXU1JSwpIlS0hKSqKvqqoqnJ2d8fX1ReHh4cHhw4eZNm0ajY2NbN++nR07dnDjxg2MRiN5eXn0dvr0aWTPPvsswvdLhSD0MmbMGLKzs+ns7OTChQt89tlnNDY28o9//IP333+fsWPH0ltTUxOSJLF161YUer0eSZKQJIng4GAU2dnZSJJEQ0MD/y4mkwlJkpAkCUmSkCQJSZKQJAlJkpAkiYEDB6JYtmwZkiRx/fp17ldcXBzt7e2Ul5dz/fp1srKyiIqKQpIkmpqa6C0vLw9JkpAkCUmSkCQJSZLo7Oykvb2dv/71r8yZM4e7mTt3Lq6urtTU1NDS0oIiOjqa9vZ2jhw5QmNjI5WVlcybNw9JkpAkibFjxyIbNWoUX3/9NcePH+fChQsUFhZyryIiIpAkCUmS6EutVvP222/T2dnJ3/72N44cOUJnZyeJiYn0VlhYiCRJ7Nu3D5nJZEKSJCRJQpIkJElCkiQkSUKSJCRJYuDAgdxJaWkpkiSRl5dHX9HR0bS3t3PkyBEaGxuprKxk3rx5SJKEJEmMHTsWRVxcHO3t7ZSXl3P9+nWysrKIiopCkiSamppQbNq0iYqKCvrS6XRUVFRw69YtDh06xN/+9jdsNhvZ2dm4u7ujaG1t5dSpUzg7O/Pcc8/Rn3379rF48WJcXV25X3l5eUiSxI0bN7gXTU1NSJLE1q1bUej1eiRJQpIkgoODUWRnZyNJEg0NDXwfEhISuHHjBidPnuT48ePcuHGDhIQEFCaTCUmSkCQJSZKQJAlJkpAkCUmSkCSJgQMHIissLESSJPbt20dvGzZsoLOzk6NHj3Lu3DmuXr1KdHQ09yIuLo729nbKy8u5fv06WVlZREVFIUkSTU1N9JWYmEh7ezs1NTUcPXqUb7/9lk2bNqFWq1Hs3buXhx56iKNHj2Kz2aitrSU8PBybzYbM09OT/sydOxdXV1dqampoaWlBER0dTXt7O0eOHKGxsZHKykrmzZuHJElIksTYsWORjRo1iq+//prjx49z4cIFCgsL6c+yZcuQJInr16/Tn8LCQiRJYt++ffSWkJDAjRs3OHnyJMePH+fGjRskJCRwN6WlpUiSRF5eHn1FR0fT3t7OkSNHaGxspLKyknnz5iFJEpIkMXbsWBRxcXG0t7dTXl7O9evXycrKIioqCkmSaGpqQrFp0yYqKiroS6fTUVFRwa1btzh06BB/+9vfsNlsZGdn4+7ujqK1tZVTp07h7OzMc889h/D9UiEIt6FSqfD29uapp57Cw8MD4fbUajXTp09n0KBBfB80Gg3Lli1DVlBQQG9qtZqAgAA8PDzoj0qlwtfXF29vb/7VVCoVU6ZMISAgAJVKxQ9NrVYTEBCAh4cHd6NWq5k+fTqDBg3iToKDg/H19eVONBoNM2bMYMqUKahUKvoqLCykp6eHZcuW4eLiQn+ys7P58MMPeeGFF/ipU6lUjBs3Dl9fX1QqFf8OKpUKPz8/dDod90utVjN9+nQGDRrEvVCpVIwfPx4/Pz/UajV9vfLKK8ycOZPBgwdTWVlJe3s7JSUlfPrpp8h0Oh390Wg0LFu2DFlBQQG9qdVqAgIC8PDwoD8qlQpfX1+8vb35PqhUKsaNG4evry8qlYp/BbVaTUBAAB4eHtyNWq1m+vTpDBo0iDsJDg7G19eXO9FoNMyYMYMpU6agUqnoq7CwkJ6eHpYtW4aLiwvC90uFIAg/KvHx8Tg7O5ORkYHw47JlyxZcXV2Jj4/nbmpra9m9ezdTpkxB+Gn5wx/+gKyrqwt/f3/c3NwICQmhtbWVoUOH8vLLL3M38fHxODs7k5GRgfCfYcuWLbi6uhIfH4/w/VMhCMKPysMPP4zZbGb48OHU1dUh/DjU1dUxbNgw0tLSGDFiBHeTmJjInDlzEH56Fi1axPHjx4mNjeW5/489+IG19a7rPf9m04OlIXToB+uhnJP+4VKiR/6MCKdC6whRG+t6BLE5MtFJ6MDNh41o4B7IGNG0VYkzwQ0I2PL1eiOYm4nuFMLFCvEPqQ6IKYQgzSlcqnTXHAucOh+0BTqYHmGycrOSJ8951l5r7bI2HPp7vV70In7yJ3+Sn/7pn+Y3f/M3+fSnP82TnvQkFnnSk57E7/7u73LRRRdx991303xr3X333Rw8eJDf+Z3f4clPfjLN/tugaZqzznXXXcett97KZZddRnN2uOyyy7j11lt5+ctfTtMs8uxnP5ubbrqJ973vfdx66628973v5Q1veAOSWNZ1113HrbfeymWXXUbzrXXZZZdx66238vKXv5zmW2ODpmmapmmapvkOtkHTNE3TNE3TfAfboGmapmmapmm+g23Q7Kuvf/3rfPazn+XLX/4yTdM0TdM0zfpt0HxT/NIv/RK2sY1tbGObz3zmM8x88IMf5NWvfjVvfvObed3rXsfb3vY2HnzwQZqmaZqmaZr12aB52O6//37+7d/+jR/90R/luuuu47rrruO6667juuuu46KLLmLq4x//OO973/v4uZ/7Od75znfyK7/yK9x777384R/+IU3TNE3TNM36bNA8bDs7O0z9+I//OFdccQVXXHEFV1xxBVdccQXnn38+Ux/84Ad5+tOfzvOf/3we9ahHcfHFF/OSl7yET37yk5w6dYqmaZqmaZpmPTZoHrZ/+qd/4rGPfSznn38+Yx566CHuvfdenvnMZ9L37Gc/m6nPfOYzNE3TNE3TNOuxQfOw3XvvvTzxiU/kLW95C5ubm2xubrK1tcWpU6eY+vu//3umzj//fPrOOeccDhw4wMmTJ2mapmmapmnWY4PmYdvZ2eGLX/wiT3va0/iFX/gFfv7nf55//ud/5k1vehP/+q//yte//nWmzjnnHIYe/ehHc/r0aRbZ2trCNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGObra0tmv9hg+Zhe+lLX8rrX/96rrnmGr7/+7+f5z//+bzmNa/hy1/+Mn/5l3/JN8Ndd91FVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVMVVVVBVVRVVRVVQVVUVVUVVUFVVFVTFVVVQVVUVVUVVUFVVFVVFVTFUVVUVVUVVUFVXFVFVRVVQVVUVVMVVVVBVVRVUxVVVUFVVFVTFVVVQVU1VFVVFVTFUVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVxVRVUVVUFVVFVVFVVBVVRVVRVVQVVcVUVVFVVBVVRVVRVVQVVcVUVVFVVBVVRVVRVVQVU1VFVVFVVBVVxVRVUVVUFVXFVFVRVVQVU1VFVVFVTFUVVcVUVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVMVRVVRVVRVVQVVUVVUVVUFVVFVVFVTFUVVUVVUVVUFVVFVVFVVBVTVUVVUVVUFVVFVTFVVVQVVUVVUVVMVRVVRVVRVUxVFVVFVTFVVVQVVcVUVVFVVBVTVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVxVRVUVVUFVVFVVFVVBVVRVVRVVQVVUVVMVVVVBVVRVVRVVQVVUVVMVVVVBVVRVVRVVQVVcVUVVFVVBVVxVRVUVVUFVVFVTFVVVQVVcVUVVFVVBVTVUVVMVVVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVNVRVVRVVQVVUVVUVVUFVVFVVFVVBVTVUVVUVVUFVVFVVFVVBVVxVRVUVVUFVVFVVFVTFUVVUVVUVVUFVNVRVVRVVQVU1VFVVFVTFUVVUVVMVVVVBVVxVRVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVUxVVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVMVRVVRVVRVVQVVUVVUVVMVRVVRVVRVVQVVcVUVVFVVBVVRVUxVVVUl8eouAAAIABJREFUFVVFVTFVVVQVVUVVMVVVVBVVxVRVUVVMVRVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVXFVFVRVVQVVUVVUVVUFVVFVVFVVBVVxVRVUVVUFVVFVVFVVBVVxVRVUVVUFVVFVVFVVBVTVUVVUVVUFVXFVFVRVVQVVcVUVVFVVBVTVUVVUVVMVRVVxV133UXzP2zQPGzPetazuPjii+k7ePAgF110EadOneLAgQNMnT59mqF///d/55xzzuFbZTKZsKrJZMIyJpMJ80wmE8ZMJhOGJpMJQ5PJhJnJZMJ+mUwmrGoymbDIZDJhN5PJhDGTyYShyWRC32QyoW8ymTAzmUxYl8lkwqomkwnLmEwmzDOZTBgzmUwYmkwm9E0mE/omkwn7YTKZsBeTyYRFJpMJu5lMJgxNJhPGTCYT+iaTCX2TyYSZyWTCukwmE1Y1mUxYxmQyYZ7JZMKYyWTC0GQyoW8ymdA3mUzYD5PJhL2YTCYsMplMmGcymTBmMpkwNJlMGJpMJvRNJhNmJpMJ6zKZTFjVZDJhkclkwm4mkwljJpMJQ5PJhL7JZELfZDKhOdMGzcPy1a9+lTvvvJP777+fMY9+9KN5ylOewtRXv/pV+k6fPs1DDz3EJZdcwrdK13Wsqus6ltF1HfN0XceYrusY6rqOoa7rmOm6jv3SdR2r6rqORbquYzdd1zGm6zqGuq6jr+s6+rquY6brOtal6zpW1XUdy+i6jnm6rmNM13UMdV1HX9d19HVdx37ouo696LqORbquYzdd1zHUdR1juq6jr+s6+rquY6brOtal6zpW1XUdy+i6jnm6rmNM13UMdV1HX9d19HVdx37ouo696LqORbquY56u6xjTdR1DXdcx1HUdfV3XMdN1HevSdR2r6rqORbquYzdd1zGm6zqGuq6jr+s6+rquoznTBs3D8uUvf5m3ve1tfPjDH6YvCV/84hc5fPgw55xzDocPH+aTn/wkfZ/4xCeYuvzyy/lWScKqkrCMJMyThDFJGErCUBJmkrBfkrCqJCyShN0kYUwShpLQl4S+JMwkYV2SsKokLCMJ8yRhTBKGktCXhL4k7Ick7EUSFknCbpIwlIQxSehLQl8SZpKwLklYVRKWkYR5kjAmCUNJ6EtCXxL2QxL2IgmLJGGeJIxJwlAShpLQl4SZJKxLElaVhEWSsJskjEnCUBL6ktCXhOZMGzQPy8GDB3nGM57BX/zFX3DHHXcw9YUvfIGbb76Z888/nxe84AVMXX311XzqU5/iQx/6EN/4xje45557eO9738szn/lMvud7vofmm+fKK6+kadbhyiuvpGnW4corr6RpmvXZoHnYrrvuOp7xjGdw8803Y5sbbriB7/qu7+J1r3sd5513HlPPec5zeNGLXsR73vMeXvnKV/Jbv/VbHDp0iJe97GV8K0liVZJYhiTmkcQYSQxJYkgSM5Lou+qqq1gXSaxKEotIYjeSGCOJIUn0SaJPEjOSWBdJrEoSy5DEPJIYI4khSfRJok8SfVdddRXrIIm9kMQiktiNJIYkMUYSfZLok8SMJNZFEquSxDIkMY8kxkhiSBJ9kuiTRN9VV13FOkhiLySxiCTmkcQYSQxJYkgSfZKYkcS6SGJVklhEEruRxBhJDEmiTxJ9kmjOtEHzsJ133nm8/OUv5+abb6aqqCpe//rX88QnPpG+a665hptuuomqoqr4xV/8Rc477zyapmmapmma9dmgeURLwqqSsIwkzJOEMUkYSsJQEmaSsF+SsKokLJKE3SRhTBKGktCXhL4kzCRhXZKwqiQsIwnzJGFMEoaS0JeEviTshyTsRRIWScJukjCUhDFJ6EtCXxJmkrAuSVhVEpaRhHmSMCYJQ0noS0JfEvZDEvYiCYskYZ4kjEnCUBKGktCXhJkkrEsSVpWERZKwmySMScJQEvqS0JeE5kwbNE3TNE3TNM13sA2aRzRJrEoSy5DEPJIYI4khSQxJYkYS+0USq5LEIpLYjSTGSGJIEn2S6JPEjCTWRRKrksQyJDGPJMZIYkgSfZLok8R+kMReSGIRSexGEkOSGCOJPkn0SWJGEusiiVVJYhmSmEcSYyQxJIk+SfRJYj9IYi8ksYgk5pHEGEkMSWJIEn2SmJHEukhiVZJYRBK7kcQYSQxJok8SfZJozrRB0zRN0zRN03wH26B5REvCqpKwjCTMk4QxSRhKwlASZpKwX5KwqiQskoTdJGFMEoaS0JeEviTMJGFdkrCqJCwjCfMkYUwShpLQl4S+JOyHJOxFEhZJwm6SMJSEMUnoS0JfEmaSsC5JWFUSlpGEeZIwJglDSehLQl8S9kMS9iIJiyRhniSMScJQEoaS0JeEmSSsSxJWlYRFkrCbJIxJwlAS+pLQl4TmTBs0Z4X/+C8fIttbPHDbNk3TNE3TNM3yNmjOCn98/g8xdf9f/TE7m0fJ9hYP3vlRHi5JrEoSy5DEPJIYI4khSQxJYkYS+0USq5LEIpLYjSTGSGJIEn2S6JPEjCTWRRKrksQyJDGPJMZIYkgSfZLok8R+kMReSGIRSexGEkOSGCOJPkn0SWJGEusiiVVJYhmSmEcSYyQxJIk+SfRJYj9IYi8ksYgk5pHEGEkMSWJIEn2SmJHEukhiVZJYRBK7kcQYSQxJok8SfZJozrRBc1Z4YOM8dOw4h298D4duvIWpU+94LTubR8n2Fg/dd5KmaZqmaZrmTBs0Z50DFx5Gx45z6c23c+jGW5jaedVRdjaPku0tVpGEVSVhGUmYJwljkjCUhKEkzCRhvyRhVUlYJAm7ScKYJAwloS8JfUmYScK6JGFVSVhGEuZJwpgkDCWhLwl9SdgPSdiLJCyShN0kYSgJY5LQl4S+JMwkYV2SsKokLCMJ8yRhTBKGktCXhL4k7Ick7EUSFknCPEkYk4ShJAwloS8JM0lYlySsKgmLJGE3SRiThKEk9CWhLwnNmTZozmoHLjyMjh3n8ls+z6Ebb2HqrmsvYmfzKNneommapmma5pFug+Y7xoELD6Njx7n8ls/zPa9+Cw/dd5K7rr2Ik9f/DA/cts0YSaxKEsuQxDySGCOJIUkMSWJGEvtFEquSxCKS2I0kxkhiSBJ9kuiTxIwk1kUSq5LEMiQxjyTGSGJIEn2S6JPEfpDEXkhiEUnsRhJDkhgjiT5J9EliRhLrIolVSWIZkphHEmMkMSSJPkn0SWI/SGIvJLGIJOaRxBhJDEliSBJ9kpiRxLpIYlWSWEQSu5HEGEkMSaJPEn2SaM60QfMd6bwjz+Pgq9/KpTfdznlHnsf9f/XH7GweJdtbPHjnR2mapmmapnmk2KD5jnbgwsPo2HEO3/geDt14C1On3vFadjaPku0t8g93sqokLCMJ8yRhTBKGkjCUhJkk7JckrCoJiyRhN0kYk4ShJPQloS8JM0lYlySsKgnLSMI8SRiThKEk9CWhLwn7IQl7kYRFkrCbJAwlYUwS+pLQl4SZJKxLElaVhGUkYZ4kjEnCUBL6ktCXhP2QhL1IwiJJmCcJY5IwlIShJPQlYSYJ65KEVSVhkSTsJgljkjCUhL4k9CWhOdMGzSPGgQsPo2PHufTm2zl04y1MPbD1v7OzeZRsb/HQfSdpmqZpmqb5TrNB84h04MLD6NhxLr35dg7deAtTO686ys7mUbK9xW4ksQxJzCOJMZIYksSQJGYksV8ksSpJLCKJ3UhijCSGJNEniT5JzEhiXSSxKkksQxLzSGKMJIYk0SeJPknsB0nshSQWkcRuJDEkiTGS6JNEnyRmJLEukliVJJYhiXkkMUYSQ5Lok0SfJPaDJPZCEotIYh5JjJHEkCSGJNEniRlJrIskViWJRSSxG0mMkcSQJPok0SeJ5kwbNI94By48jI4d5/JbPs+hG29h6q5rL2Jn8yjZ3qJpmqZpmuZstkHziJaEvgMXHkbHjvOY37ubx7/gGA/dd5KdzaNke4sHbttmKgnLSMI8SRiThKEkDCVhJgn7JQmrSsIiSdhNEsYkYSgJfUnoS8JMEtYlCatKwjKSME8SxiRhKAl9SehLwn5Iwl4kYZEk7CYJQ0kYk4S+JPQlYSYJ65KEVSVhGUmYJwljkjCUhL4k9CVhPyRhL5KwSBLmScKYJAwlYSgJfUmYScK6JGFVSVgkCbtJwpgkDCWhLwl9SWjOtEHTjLjkgnPRseMcfPVbOXTjLUzd8d53s7N5lGxv8eCdH6VpmqZpmuZssEHziCaJRQ5ceBgdO86Vb/9TDt14C5I49Y7XsrN5lGxv8dB9JxkjiXkkMUYSQ5IYksSMJPaLJFYliUUksRtJjJHEkCT6JNEniRlJrIskViWJZUhiHkmMkcSQJPok0SeJ/SCJvZDEIpLYjSSGJDFGEn2S6JPEjCTWRRKrksQyJDGPJMZIYkgSfZLok8R+kMReSGIRScwjiTGSGJLEkCT6JDEjiXWRxKoksYgkdiOJMZIYkkSfJPok0Zxpg6ZZwYELD6Njx7n05ts5dOMtTO286ig7m0fJ9hZN0zRN0zTfbjZoHtGSsKokTB248DA6dpzLb/k8h268ham7rr2Inc2jZHuLJMyThDFJGErCUBJmkrBfkrCqJCyShN0kYUwShpLQl4S+JMwkYV2SsKokLCMJ8yRhTBKGktCXhL4k7Ick7EUSFknCbpIwlIQxSehLQl8SZpKwLklYVRKWkYR5kjAmCUNJ6EtCXxL2QxL2IgmLJGGeJIxJwlAShpLQl4SZJKxLElaVhEWSsJskjEnCUBL6ktCXhOZMGzTNN8GBCw+jY8d5zO/dzX//iet56L6TxE/n5PU/wwO3bdM0TdM0TfOtskHziCaJVUlinksuOJef+KlrOPjqt3LpTbdz3pHnccd7383O5lGyvcWDd36UKUmMkcSQJIYkMSOJ/SKJVUliEUnsRhJjJDEkiT5J9EliRhLrIolVSWIZkphHEmMkMSSJPkn0SWI/SGIvJLGIJHYjiSFJjJFEnyT6JDEjiXWRxKoksQxJzCOJMZIYkkSfJPoksR8ksReSWEQS80hijCSGJDEkiT5JzEhiXSSxKkksIondSGKMJIYk0SeJPkk0Z9qgadbkwIWH0bHjXPn2P+XQjbcwdeodr2Vn8yjZ3uKh+07SNE3TNE2zbhs0j2hJWFUSlpGEmQMXHkbHjnPpzbdz6MZbSMLOq46ys3mUbG8xk4ShJAwlYSYJ+yUJq0rCIknYTRLGJGEoCX1J6EvCTBLWJQmrSsIykjBPEsYkYSgJfUnoS8J+SMJeJGGRJOwmCUNJGJOEviT0JWEmCeuShFUlYRlJmCcJY5IwlIS+JPQlYT8kYS+SsEgS5knCmCQMJWEoCX1JmEnCuiRhVUlYJAm7ScKYJAwloS8JfUlozrRB0+yzAxceRseOc/ktn+f0a/4r93zpa9x17UXsbB4l21s0TdM0TdN8M23QPKJJYlWSWIYk5pHE1FOf9lSe/co38Jjfu5v//hPX86X/90vcde1FnLz+Z3jgtm2mJDEkiRlJ7BdJrEoSi0hiN5IYI4khSfRJok8SM5JYF0msShLLkMQ8khgjiSFJ9EmiTxL7QRJ7IYlFJLEbSQxJYowk+iTRJ4kZSayLJFYliWVIYh5JjJHEkCT6JNEnif0gib2QxCKSmEcSYyQxJIkhSfRJYkYS6yKJVUliEUnsRhJjJDEkiT5J9EmiOdMGTfNt4JILzuUnfuoarvi1d3LpTbdz3pHnccd7383O5lGyvcWDd36UpmmapmmavdigeURLwqqSsIwkzJOEMUk4cOFhdOw4V779Tzl04y0k4fbfeCU7m0fJ9hYP3XeSJMwkYb8kYVVJWCQJu0nCmCQMJaEvCX1JmEnCuiRhVUlYRhLmScKYJAwloS8JfUnYD0nYiyQskoTdJGEoCWOS0JeEviTMJGFdkrCqJCwjCfMkYUwShpLQl4S+JOyHJOxFEhZJwjxJGJOEoSQMJaEvCTNJWJckrCoJiyRhN0kYk4ShJPQloS8JzZk2aJpvYwcuPIyOHecFf3QHp1/zX7nnS19j51VHyS//GNneommapmmaZpENmkc0SaxKEsuQxDySGCOJIUlMPfVpT+XZr3wDj/m9u/l/fvqdvOvjX+Cuay/igV+9hmxvsR8ksSpJLCKJ3UhijCSGJNEniT5JzEhiXSSxKkksQxLzSGKMJIYk0SeJPknsB0nshSQWkcRuJDEkiTGS6JNEnyRmJLEukliVJJYhiXkkMUYSQ5Lok0SfJPaDJPZCEotIYh5JjJHEkCSGJNEniRlJrIskViWJRSSxG0mMkcSQJPok0SeJ5kwbNM1Z5pILzuUV1zyX42/6bR7ze3fz5R97Fb//gY9x17UXke0tvv7xD9A0TdM0TTOzQfOIloRVJWEZSZgnCWOSMJSEoSRMXXLBuTz5f5nwf7zrj7n0ptuZ+sf3vJOdzaNke4uH7jvJN1MSVpWERZKwmySMScJQEvqS0JeEmSSsSxJWlYRlJGGeJIxJwlAS+pLQl4T9kIS9SMIiSdhNEoaSMCYJfUnoS8JMEtYlCatKwjKSME8SxiRhKAl9SehLwn5Iwl4kYZEkzJOEMUkYSsJQEvqSMJOEdUnCqpKwSBJ2k4QxSRhKQl8S+pLQnGmDs9ypU6f4h3/4Bz796U9z9913k4TmkenAhYfRseMc+JX38qHu7bzr41/gI7/0k+xsHiXbWzRN0zRN88i0wVno9ttv5/LLL+dRj3oUBw8e5KlPfSpHjhzhKU95Ck984hN53OMex0te8hJOnTpFsztJrEoSy5DEPJIYI4khSQxJYkYSfYcefw6vuOa5HH/Tb3PpTR/jQ93bueHPdrjr2ovY2TxKtrfYK0msShKLSGI3khgjiSFJ9EmiTxIzklgXSaxKEsuQxDySGCOJIUn0SaJPEvtBEnshiUUksRtJDElijCT6JNEniRlJrIskViWJZUhiHkmMkcSQJPok0SeJ/SCJvZDEIpKYRxJjJDEkiSFJ9EliRhLrIolVSWIRSexGEmMkMSSJPkn0SaI50wZnkb/+67/mggsu4IorruCrX/0qXdfxyU9+ks9+9rN87nOf47Of/Sx/8id/wmWXXcaf//mfc/DgQY4ePcoDDzxA88h0yQXn8oprnsvb/8s7+Pz/dSdfeuZP8fsf+Bg7m0fJ9hYP3vlRmqZpmqb5zrbBWeLFL34xP/IjP8JrX/ta7r//fu69917e//7386xnPYvLL7+cyy67jMsvv5zJZMIdd9zBV77yFe655x42NjY4//zzeec730lzpiSsKgnLSMI8SRiThKEkDCVhJgnL+JGnPIFnv/IN/Oyb382Hurfzro9/gdt/45XsbB4l21s8dN9JFknCqpKwSBJ2k4QxSRhKQl8S+pIwk4R1ScKqkrCMJMyThDFJGEpCXxL6krAfkrAXSVgkCbtJwlASxiShLwl9SZhJwrokYVVJWEYS5knCmCQMJaEvCX1J2A9J2IskLJKEeZIwJglDSRhKQl8SZpKwLklYVRIWScJukjAmCUNJ6EtCXxKaM21wFvjKV77CJZdcwje+8Q1+7dd+jcc//vEs4+KLL+Zv//Zvue+++/jABz5A00xdcsG5vOKa53L8Tb/NpTd9jA91b+eGP9th51VH2dk8Sra3aJqmaZrmO8cGZ4HHPe5xvPWtb2Wvvvu7v5v3v//9NGeSxKoksQxJzCOJMZIYksSQJGYksVeXXHAur7jmuRx/02/zf//Hv+F/O/gGfv8DH+Ouay8i21s8eOdH6ZPEqiSxiCR2I4kxkhiSRJ8k+iQxI4l1kcSqJLEMScwjiTGSGJJEnyT6JLEfJLEXklhEEruRxJAkxkiiTxJ9kpiRxLpIYlWSWIYk5pHEGEkMSaJPEn2S2A+S2AtJLCKJeSQxRhJDkhiSRJ8kZiSxLpJYlSQWkcRuJDFGEkOS6JNEnySaM23QNA2XXHAuN1x9KR+5/qf42Te/mz988R9xw5/tcPtvvJKdzaNke4uH7jtJ0zRN0zRnnw3OMnfffTef+MQnOHXqFDOve93rOPfcc3nUox7Fk5/8ZD784Q/TLCcJq0rCMpIwTxLGJGEoCUNJmEnCN9MlF5zLb/78D3P8Tb/NX1/337jqMf+JG/5sh51XHWVn8yjZ3mIVSVgkCbtJwpgkDCWhLwl9SZhJwrokYVVJWEYS5knCmCQMJaEvCX1J2A9J2IskLJKE3SRhKAljktCXhL4kzCRhXZKwqiQsIwnzJGFMEoaS0JeEviTshyTsRRIWScI8SRiThKEkDCWhLwkzSViXJKwqCYskYTdJGJOEoST0JaEvCc2ZNjiLXHXVVTzlKU/hB3/wBzl48CDXX389b3zjG9na2uL888/nsssu4/Of/zw//MM/zN/93d/RNA/HJRecyw1XX8o//c7PomPHufp/voXjX/8Jfv8DH2Nn8yjZ3uKh+07SNE3TNM23tw3OEtdffz0f+chHeO1rX8s999zDW97yFn7913+dX/3VX2Vzc5NTp07xuc99jvvvv5+pY8eO0SwmiVVJYhmSmEcSYyQxJIkhScxIYt1uuPpSdt7wPN78W7/M//e//p9c9Zj/xA1/tsNHfukn2dk8Sra3mEcSi0hiN5IYI4khSfRJok8SM5JYF0msShLLkMQ8khgjiSFJ9EmiTxL7QRJ7IYlFJLEbSQxJYowk+iTRJ4kZSayLJFYliWVIYh5JjJHEkCT6JNEnif0gib2QxCKSmEcSYyQxJIkhSfRJYkYS6yKJVUliEUnsRhJjJDEkiT5J9EmiOdMGZ4l3vetdHDp0iDe/+c1cfPHFvOY1r+HpT386UzfeeCMzj3/843nuc5/LF7/4RZrmm+2SC87lhqsv5SPXvwgdO84Ln/xWfu17f4N7vvQ17rr2IrK9xYN3fpSmaZqmab59bHCWuP/++3nCE55A38te9jKmnvCEJ9B33nnn8eCDD9IsloRVJWEZSZgnCWOSMJSEoSTMJGG/JGHqkgvO5YarL+UbWy/kPzztqVybF/DCJ7+Fd338C5x6x2vZ2TxKtreYSsIiSdhNEsYkYSgJfUnoS8JMEtYlCatKwjKSME8SxiRhKAl9SehLwn5Iwl4kYZEk7CYJQ0kYk4S+JPQlYSYJ65KEVSVhGUmYJwljkjCUhL4k9CVhPyRhL5KwSBLmScKYJAwlYSgJfUmYScK6JGFVSVgkCbtJwpgkDCWhLwl9SWjOtMFZZGNjg77nPOc5NM232g1XX8rOG57HK655Lu/4n17CCw+9hf/y/Dcxdde1F5F6PQ/ctk3TNE3TNN8aGzSPaJJYlSSWIYl5JDFGEkOSGJLEjCT2iyTmueHqS9l5w/O4bfMH+JsHHscP/v0P8Ycv/iP0H46Q7S12No+S7S3GSGI3khgjiSFJ9EmiTxIzklgXSaxKEsuQxDySGCOJIUn0SaJPEvtBEnshiUUksRtJDElijCT6JNEniRlJrIskViWJZUhiHkmMkcSQJPok0SeJ/SCJvZDEIpKYRxJjJDEkiSFJ9EliRhLrIolVSWIRSexGEmMkMSSJPkn0SaI50wZnmdOnT3P69GlOnz7N6dOnmTp9+jSnT5/m9OnTnD59mqb5VrrkgnO57VU/wG2bP8C953w3P/j3P8S7X/xHHLrxFqbuuvYisr3FQ/edpGmapmma9dvgLPKpT32KAwcOcODAAQ4cOMALX/hCph772Mdy4MABDhw4wIEDB/irv/ormuUkYVVJWEYS5knCmCQMJWEoCTNJ2C9JWNYlF5zLH7z0e7nl2MX84798jcv/80nefv5LuPSm25n6p+uvZWfzKNneIgm7ScKYJAwloS8JfUmYScK6JGFVSVhGEuZJwpgkDCWhLwl9SdgPSdiLJCyShN0kYSgJY5LQl4S+JMwkYV2SsKokLCMJ8yRhTBKGktCXhL4k7Ick7EUSFknCPEkYk4ShJAwloS8JM0lYlySsKgmLJGE3SRiThKEk9CWhLwnNmTY4Sxw5coQjR45w5MgRjhw5wpEjRzhy5AhHjhzhyJEjHDlyhCNHjnDkyBGOHDnC933f99E03w4uueBc/uCl38ttmz/AP/7L17j8P5/k7ee/hEtvvp1DN97CQ/edJL/8Y2R7i4fuO0nTNE3TNN9cG5wl/uZv/oYTJ05w4sQJTpw4wYkTJzhx4gQnTpzgxIkTnDhxghMnTnDixAlOnDjBHXfcQbOYJFYliWVIYh5JjJHEkCSGJDEjif0iiVVJYuqSC87lD176vdy2+QP84798jUvf+FHe+MnTHHz1W7n0jf+NqZ1XHWVn8ygP3LZNnyTGSGJIEn2S6JPEjCTWRRKrksQyJDGPJMZIYkgSfZLok8R+kMReSGKR/589+I+x+67vPf9ksMG1QlLntTcGapP36US5k4QpXFPW/Zpq+aZ3b723cheJIpdbFNWWug02YQV1V9s2rOIsdT5biTRVb+Tgv+wFlc21QkHt3tJ0hZxIdLYpLSHbdRI3dc47JAGC84rBhyZB+bUarY7uV1+fM2fOlBni8H08JLEUSbRJYhRJNEmiSRJDklgtkpiWJJZDEuNIYhRJtEmiSRJNklgLklgJSUwiiXEkMYok2iTRJokmSQxJYrVIYlqSmEQSS5HEKJJok0STJJok0TnfDJ1OZ03FpRs4+sGrOLFvG/eePkvv0AJ/8tg6tPsAV971TS6+djc+fiv9fdvx8VvpdDqdTqfzLzPDBWL79u3Mzc0xNzfH3Nwcc3NzzM3NMTc3x9zcHHNzc8zNzTE3N8fc3BxXX301nclsMy3bLIdtxrHNKLZps02bbYZss1ZsMy3bjBKXbuDE/m0c/eBVfOI//yO9Qwvcc/os2n2A3h33seXmu1jU37cdH7+VF77zOG22abNNk22abDNkm9Vim2nZZjlsM45tRrFNm22abNNkm7Vgm5WwzSS2WYpt2mwzim2abNNkmyHbrBbbTMs2y2GbcWwzim3abNNkmybbrAXbrIRtJrHIWKBvAAAgAElEQVTNOLYZxTZttmmzTZNthmyzWmwzLdtMYpul2GYU27TZpsk2TbbpnG+GC8TTTz+NbWxjG9ucOnWKU6dO8dxzz/GDH/yAwWDAqVOnOHXqFC+++CKvRi+//DKnTp1iMBjQ6SyqZzfxwEffzk2/2GPvnQ9x7eGvkc88z/rLtqLdB9hy810s6u/fTn/fds6dOE6n0+l0Op3lm+ECcfr0ac6cOcOZM2c4c+YM69at4yMf+QgvvfQSjz32GP1+nyeffJLBYMCmTZuoqopXmy996UvccMMN/OEf/iG//du/zR//8R/z7LPP8qMkiWlJYjkkMY4kRpFEmyTaJDEkibUiiWlJYhJJ7Hn3W+jfuIP3zm6id2iBg3f3WbT+sq1o9wGuvOubXHztbnz8Vvr7tuPjtyKJNkk0SaJJEkOSWC2SmJYklkMS40hiFEm0SaJJEk2SWAuSWAlJTCKJpUiiTRKjSKJJEk2SGJLEapHEtCSxHJIYRxKjSKJNEk2SaJLEWpDESkhiEkmMI4lRJNEmiTZJNEliSBKrRRLTksQkkliKJEaRRJskmiTRJInO+Wa4AH3961/nueee4/bbb2dmZoamiy66iAceeIDPfOYzPP/887xafPWrX+WLX/wiH/rQh/j0pz/N7/3e7/Hkk0/ymc98hk6n6eDOHv0bd7Cod2iBg3f3GdLuA/TuuI8tN9/FC995nP6+7fj4rXQ6nU6n0xlvhgvQgQMHuOSSSxjnoosuYtH3vvc9Xi2+9KUvMT8/z3ve8x5e97rXcfnll/P+97+f+++/n6eeeoofFdtMyzbLYZtxbDOKbdps02abIdusFdtMyzaT2KYpLt3AwZ09Tuzbxr2nz9I7tMA9p88ytP6yrbz5hj/iJ/7HIyz6xw+8FR+/lRe+8zi2abJNk22GbLNabDMt2yyHbcaxzSi2abNNk22abLMWbLMStpnENkuxTZttRrFNk22abDNkm9Vim2nZZjlsM45tRrFNm22abNNkm7Vgm5WwzSS2Gcc2o9imzTZttmmyzZBtVottpmWbSWyzFNuMYps22zTZpsk2nfPNcAG65ZZb+MY3vsFTTz3FKJ/61KdYtHnzZl4NXnjhBZ588kne8Y530PSud72LRQ899BCdzihx6QZO7N/G4f8+2HvnQ1x7+GvkM88ztP6yrWj3AXqH72NRf/92fPxWXvjO43Q6nU6n0/n/zXAB2r59O2984xt585vfzM0338yjjz7K448/zoMPPsh73vMebrnlFj7xiU/wavHII4+w6JJLLqFp3bp1rF+/nscff5xJ/vzP/5zrr7+e66+/nuuvv563vvWtfPaznyUzyUyqqiIzyUwyk6qqyEwyk8ykqioyk8wkM6mqisxkMBiQmVRVRWaSmWQmVVWRmWQmmUlVVWQmmclgMKCqKjKTzCQzqaqKzCQzyUyqqmIwGJCZZCZVVZGZZCaZya5du8hMMpPMpKoqMpPBYEBmUlUVmUlmMhgMqKqKzCQzyUx27dpFZpKZDAYDqqoiM8lMnnjiCaqqIjPJTDKTqqrITDKTzKSqKjKTzCQzqaqKzCQzyUyqqiIzyUwyk6qqyEwGgwGZSVVVZCaZSWZSVRWZSWaSmVRVRWaSmQwGA6qqIjPJTDKTqqrITDKTzGTXrl1kJplJZlJVFZlJZpKZ/K+/+Suc+NBbeadeR+/QAtVv3UFmMhgMyEz+m/ftZvBf/wrrf+/zvP71r6e/fzuP/A/v4tEv/ymDwYCqqshMMpPBYEBVVWQmg8GAzKSqKjKTzCQzqaqKzCQzyUyqqiIzyUwyk6qqyEwyk8ykqioyk8wkM6mqisFgQGaSmVRVRWaSmWQmVVWRmWQmX/nKV6iqisxkMBiQmVRVRWaSmWQmVVWRmWQmmcmuXbvITDKTzKSqKr7yla/wla98hcFgQFVVZCaZSWZSVRWDwYDMJDOpqorMZDAYkJlUVUVmMhgMyEyqqiIzGQwGZCZVVZGZPPHEE2QmVVWRmWQmmUlVVWQmmUlmUlUVmUlmkplUVUVmkplkJlVVkZlkJpnJrl27yEwyk8ykqioyk8wkM6mqiswkM8lMqqoiMxkMBmQmVVWRmWQmmUlVVWQmmclgMKCqKjKTzCQzqaqKzCQzGQwGVFVFZpKZZCa7du0iM8lMMpOqqshMBoMBmUlVVWQmg8GAzKSqKjKTwWBAZlJVFYPBgMwkM6mqiswkM8lMqqoiM8lMMpOqqshMMpPMpKoqMpPMJDOpqorMJDPJTHbt2kVmkplkJlVVkZlkJplJVVVkJplJZlJVFYPBgMwkM6mqiswkM8lMqqoiM8lMBoMBVVWRmWQmmUlVVWQmg8GAzKSqKjKTzCQz2bVrF5lJZpKZVFXFYDAgM8lMqqpiMBiQmWQmVVUxGAzITDKTqqp44oknyEwyk6qqyEwyk8ykqioyk8wkM6mqiswkM8lMqqoiM8lMMpOqqshMMpPBYEBVVWQmmUlmUlUVmUlmkplUVUVmkplkJlVVMRgMyEwyk6qqyEwyk8ykqioyk8FgQGZSVRWZSWaSmVRVxWAwIDPJTKqqIjPJTAaDAVVVkZlkJpnJrl27yEwyk8ykqioGgwGZSWZSVRWDwYDMJDPZtWsXmUlmkplUVUVmkplkJlVVkZlkJplJVVVkJplJZlJVFZlJZpKZVFVFZpKZDAYDqqoiM8lMMpOqqshMMpPMpKoqMpPMJDPZtWsXmUlmkplUVUVmkplkJlVVMRgMyEwyk6qqyEwyk8ykqioGgwGZSWZSVRWZSWYyGAyoqorMJDPJTHbt2kVmkplkJrt27SIz+exnP8v111/P/Pw8119/Pddffz2d/2KGC9S5c+e46qqrOHjwILOzs7ztbW/jmmuuYWFhgYMHD/LJT36SV4uXX36ZRevWraPt9a9/PS+++CKTvOtd7+LIkSMcOXKEI0eO8LnPfY7rrruOiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBFu2bKGUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISK47Vf/Df0bd7Bz53/HtX/yTe4580YiglIKEUFvW8Xsb36Sb97wOS79d7/G6+76A175g1/ld3f+GyKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRARbtmzh29/+NhFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilsGXLFq677joiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYhgy5YtRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSClu2bCEiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIrrvuOo4cOcLnPvc5jhw5wpEjR+j8FzNcoN7whjfw4IMP8vTTT3Py5Enuv/9+HnnkEV555RVuuukmXmve+ta30lTXNU11XdNU1zVNdV3TVNc1i2yzqK5rmuq6pqmua4ZsU9c1TXVd01TXNbYZquuapvn5eZrqumaRbRbVdc2Qbeq6pml+fp4h29R1TVNd1zTVdU1TXdc01XVNU13XNNV1zSLbLKrrmqa6rmmq65oh29R1TVNd1zTNz8/TVNc1TfPz8wzFpRs4uLPHiX3b+MR//keuPfw14md+jiHb1HWNdh+gd8d9vPAz/5b5p/6e/r7tnDtxHNvUdc0i2yyq65qmuq5pquuaprquaarrmqa6rrHNUF3XNNV1zSi2WVTXNU11XdM0Pz9PU13XDNmmrmua6rrGNkN1XbPINovqumaRbRbVdc0i2yyq65qmuq5pquuaprquaarrmqa6rmman5+nqa5rmuq6pqmuaxbZZlFd1zTVdc2Qbeq6pqmua4ZsU9c1TfPz8zTVdc0i2yyq65pFtllU1zWLbLOormtsM1TXNU11XdNU1zVNdV3TVNc1TfPz8zTVdU1TXdc01XWNbYbquqaprmuGbFPXNU11XbPINovquqZpfn6eprqusc1QXdfYZqiua2wzVNc1TXVd01TXNU11XdNU1zVNdV0zZJu6rmmq65qmuq5pqusa2wzVdU1TXdcsss2iuq5pqusa2wzVdc2Qbeq6pml+fp6muq6xzVBd19hmaH5+nqa6rmmq65qmuq5pquuaprquGbJNXdc01XVNU13XNM3Pz9NU1zVNdV1jm6G6rmmq6xrbDNV1zZBt6rqmaX5+nqb5+Xma5ufn6ZxvhgucJK6++mre+c53csUVVzDOt771LX5U1q9fz6IXX3yRtpdeeol169bR6SzXsWPH2Lt3L3HpBh746Nt57+wmeocWOHh3n6HMpNfrsUi7D9C74z4233AbPn4r/p1/x7kTx+l0Op1O58fFDBeA73//+6xbt44/+qM/Ylrnzp3j/e9/Pzt27OBHZXZ2lkX//M//TNOLL77ICy+8QETwoyKJaUliOSQxjiRGkUSbJNokMSSJtSKJaUliEkksRRJDe/bs4ejRoyySxMGdPfo37uDe02fpHVrgH747Q0TQ7/dZJIlFG6/ZQe+O+9jysdvx8Vvp79vO+v/ny6wWSUxLEsshiXEkMYok2iTRJIkmSawFSayEJCaRxFIk0SaJUSTRJIkmSQxJYrVIYlqSWA5JjCOJUSTRJokmSTRJYi1IYiUkMYkkxpHEKJJok0SbJJokMSSJ1SKJaUliEkksRRKjSKJNEk2SaJJE53wzXAAuuugiHn74YQ4dOsTGjRvZu3cvjz32GON8//vf59577+XKK6/kkksu4dlnn6Xf7/Ojsm7dOrZu3cr9999P09///d+z6Morr6TT+ZeISzdwYv82jn7wKvbe+RB773yIcTZes4PeHfex+Ybb8PFb6e/bzrMnF+h0Op1O57VqhgvEFVdcwZkzZzhy5Ahf+MIXiAhe97rXsXnzZi6//HJmZ2fp9Xr85E/+JG9605uo65qXXnqJzOQv//Iv+VHbuXMnDzzwAF/+8pd55ZVXyEz+9E//lHe84x1s3ryZHxXbTMs2y2GbcWwzim3abNNmmyHbrBXbTMs2k9hmKbYZxTZN9ewm/u7D/5rLN22gd2iBY1/9FrZpss2ijdfs4OLf/ws233AbT93+cfr7tvPsyQV+WGwzLdssh23Gsc0otmmzTZNtmmyzFmyzEraZxDZLsU2bbUaxTZNtmmwzZJvVYptp2WY5bDOObUaxTZttmmzTZJu1YJuVsM0kthnHNqPYps02bbZpss2QbVaLbaZlm0lssxTbjGKbNts02abJNp3zzXCBue666/jud7/LI488wq/92q+xceNGBoMBtnn++ed585vfzB133MEzzzzD6dOnufzyy3k1ePe738373vc+Pv/5z/PhD3+YUgpbtmxhz549dDrTOHbsGHv37mUpe/716+D4b/G/f/Vb/NKxh8lnnmecjdfsoHfHfVx87W6euv3jPH7Tr/DCdx6n0+l0Op3XihkuUFdccQV/8id/Qr/f55lnnuG73/0u3/rWt3j44Yf58Ic/zKZNm3i1+aVf+iUOHz7MkSNHOHLkCB/96EfZuHEjP0qSmJYklkMS40hiFEm0SaJNEkOSWCuSmJYkJpHEUiQxtGfPHo4ePcoiSbRJIiLoP/A3nNi/jX//9rfSO7TAwbv7LJLEkCSGtPsAvTvuY+M1O+jv3863b/8YL3zncVZKEtOSxHJIYhxJjCKJNkk0SaJJEmtBEishiUkksRRJtEliFEk0SaJJEkOSWC2SmJYklkMS40hiFEm0SaJJEk2SWAuSWAlJTCKJcSQxiiTaJNEmiSZJDElitUhiWpKYRBJLkcQokmiTRJMkmiTROd8MnU7nNe3gzh79G3dw7+mz9A4tkM88z1K0+wBX3vVN1l+2lf7+7fj4rXQ6nU6ncyGbofNjzTbTss1y2GYc24ximzbbtNlmyDZrxTbTss0ktlmKbUaxTZttmmwTl27gxP5t/PrPvoXeoQUO3t1nkW3G0e4D9A7fx6L+vu34+K1MwzbTss1y2GYc24ximzbbNNmmyTZrwTYrYZtJbLMU27TZZhTbNNmmyTZDtlkttpmWbZbDNuPYZhTbtNmmyTZNtlkLtlkJ20xim3FsM4pt2mzTZpsm2wzZZrXYZlq2mcQ2S7HNKLZps02TbZps0znfDJ1O54Jy7Ngx9u7dy1Iyk16vR9vBnT0e+Og13Hv6LL1DC9xz+ixLWX/ZVrT7AFtuvotnTy7Q37edcyeO0+l0Op3OhWSGzo81SUxLEsshiXEkMYok2iTRJokhSawVSUxLEpNIYimSGNqzZw9Hjx5lkSTaJBER9Pt9Fkmi6WdiMyf2b+OmX+zxgf/0DQ7e3WeS9ZdtZevNn2fLzXfh47fS37edZ08usBRJTEsSyyGJcSQxiiTaJNEkiSZJrAVJrIQkJpHEUiTRJolRJNEkiSZJDElitUhiWpJYDkmMI4lRJNEmiSZJNEliLUhiJSQxiSTGkcQokmiTRJskmiQxJInVIolpSWISSSxFEqNIok0STZJokkTnfDN0Op0fS3ve/Rb6N+7g3tNn6R1a4J7TZ5lk/WVb6d1xHxdfu5snbvoAPn4rnU6n0+m82s3Q+bFmm2nZZjlsM45tRrFNm23abDNkm7Vim2nZZhLbLMU2o9imzTZNtmmyzdCbXvlnTuzfxk2/2OPaw/dz8O4+y6HdB+gdvo9F/X3b8fFbabPNtGyzHLYZxzaj2KbNNk22abLNWrDNSthmEtssxTZtthnFNk22abLNkG1Wi22mZZvlsM04thnFNm22abJNk23Wgm1WwjaT2GYc24ximzbbtNmmyTZDtlkttpmWbSaxzVJsM4pt2mzTZJsm23TON8MF7uWXX+bJJ5/kscceY9H3v/99Op3XsmPHjrF3716Wkpn0ej2Wa8+730L/xh3ce/osvUML3HP6LJOsv2wr2n2ALTffxbMnF+jv286zJxfodDqdTufVZoYL2Ac+8AFe//rXs2XLFn7hF36BRVu2bOFDH/oQneWRxLQksRySGEcSo0iiTRJtkhiSxFqRxLQkMYkkliKJoT179nD06FEWSaJNEhFBv99nkSSaJDEkiaG4dAMn9m/jpl/sce3h+zl4d5/lWH/ZVrbe/Hk233AbT93+cb59+8dYJIlpSWI5JDGOJEaRRJskmiTRJIm1IImVkMQkkliKJNokMYokmiTRJIkhSawWSUxLEsshiXEkMYok2iTRJIkmSawFSayEJCaRxDiSGEUSbZJok0STJIYksVokMS1JTCKJpUhiFEm0SaJJEk2S6JxvhgvUO9/5Tj7/+c/zvve9j5/7uZ9jaMeOHXzuc59j7969dDqd6e1591vo37iDe0+fpXdogXzmeZZj4zU76N1xH+sv20p/33Z8/FY6nU6n03k1mOEC9E//9E888MAD/MM//ANf/OIXafqLv/gLfv/3f59jx47x8ssv01mabaZlm+WwzTi2GcU2bbZps82QbdaKbaZlm0lssxTbjGKbNts02abJNkO2GSUu3cCJ/dv49Z99C71DCxy8u89yafcBttx8F/7ql+nv286zJxdYLtssh23Gsc0otmmzTZNtmmyzFmyzEraZxDZLsU2bbUaxTZNtmmwzZJvVYptp2WY5bDOObUaxTZttmmzTZJu1YJuVsM0kthnHNqPYps02bbZpss2QbVaLbaZlm0lssxTbjGKbNts02abJNp3zzXAB+sM//EO2bNnC29/+dkbZv38/i86cOUOn81pz7Ngx9u7dy1Iyk16vx7/UwZ09+jfu4N7TZ7n28NfIZ55nOdZfthX9zmfR7gM8cdMH8PFb6XQ6nU7nR2WGC9DMzAwvv/wy47z88sssWrduHZ2lSWJaklgOSYwjiVEk0SaJNkkMSWKtSGJakphEEkuRxNCePXs4evQoiyTRJomIoN/vs0gSTZIYksQkcekGTuzfxntnN9E7tMDBu/sshyQuvnY3vcP3sai/bzvPnlxgKZJYDkmMI4lRJNEmiSZJNEliLUhiJSQxiSSWIok2SYwiiSZJNEliSBKrRRLTksRySGIcSYwiiTZJNEmiSRJrQRIrIYlJJDGOJEaRRJsk2iTRJIkhSawWSUxLEpNIYimSGEUSbZJokkSTJDrnm+EC9LGPfYxvfvOb/PVf/zWj3HDDDbzxjW9EEp1O54fj4M4e/Rt3cO/ps1x7+Gss1/rLtqLdB9hy8108dfvHefymX+GF7zxOp9PpdDprZYYL0BVXXMG73vUufv7nf573v//9DP3VX/0VvV6PO++8k5tuuonOZLaZlm2Wwzbj2GYU27TZps02Q7ZZK7aZlm0msc1SbDOKbdps02SbJtsM2WYacekGTuzfxntnN9E7tMA9p88yjm2a1l+2ld4d97Hxmh3092/Hx2+lzTbLYZtxbDOKbdps02SbJtusBdushG0msc1SbNNmm1Fs02SbJtsM2Wa12GZatlkO24xjm1Fs02abJts02WYt2GYlbDOJbcaxzSi2abNNm22abDNkm9Vim2nZZhLbLMU2o9imzTZNtmmyTed8M1yg/u7v/o5f/uVf5gtf+AJ/8zd/w6OPPsrOnTvJTG699VZ+93d/l07ntejYsWPs3buXpWQmvV6P1XJwZ48T+7Zx8919rj38Naah3QfoHb6PZ08u0N+3nRfOPE6n0+l0OqtphgvYn/3Zn/Hcc89x+vRpHnroITKTV155hd/6rd+iszySmJYklkMS40hiFEm0SaJNEkOSWCuSmJYkJpHEUiQxtGfPHo4ePcoiSbRJIiLo9/sskkSTJIYksVJx6QZO7N/Ge2c30Tu0wD2nz9IkiXHWX7aVrTd/nouv3c0rf/Cr7PqJp1kkieWQxDiSGEUSbZJokkSTJNaCJFZCEpNIYimSaJPEKJJokkSTJIYksVokMS1JLIckxpHEKJJok0STJJoksRYksRKSmEQS40hiFEm0SaJNEk2SGJLEapHEtCQxiSSWIolRJNEmiSZJNEmic74ZLnAbNmzgp3/6p5mbm+Pyyy+n0+msrYM7exz94FXsvfMh9t75ENPQ7gO87n/+T2z/V2+kv287z55coNPpdDqdH7YZLhDbt29nbm6Oubk55ubmmJubY25ujrm5Oebm5pibm2Nubo65uTnm5ua4+uqr6Uxmm2nZZjlsM45tRrFNm23abDNkm7Vim2nZZhLbLMU2o9imzTZNtmmyzZBtfhjq2U30b9zB5Zs20Du0wD2nz2Kb5Vj/r7byv3zjTWy+4TaeuOkD+PitTGKbcWwzim3abNNkmybbrAXbrIRtJrHNUmzTZptRbNNkmybbDNlmtdhmWrZZDtuMY5tRbNNmmybbNNlmLdhmJWwziW3Gsc0otmmzTZttmmwzZJvVYptp2WYS2yzFNqPYps02TbZpsk3nfDNcIJ5++mlsYxvb2ObUqVOcOnWK5557jh/84AcMBgNOnTrFqVOnePHFF+l0XouOHTvG3r17WUpm0uv1WGsHd/Y4+sGruPbw/Ry8u880Nl6zA/1v/xeL+vu28+zJBTqdTqfT+WGY4QJx+vRpzpw5w5kzZzhz5gzr1q3jIx/5CC+99BKPPfYY/X6fJ598ksFgwKZNm6iqis5kkpiWJJZDEuNIYhRJtEmiTRJDklgrkpiWJCaRxFIkMbRnzx6OHj3KIkm0SSIi6Pf7LJJEkySGJPHDVs9uon/jDv7f787QO7TAPafPsly64hq0+wCbb7iNJ276AD5+K6NIYhxJjCKJNkk0SaJJEmtBEishiUkksRRJtEliFEk0SaJJEkOSWC2SmJYklkMS40hiFEm0SaJJEk2SWAuSWAlJTCKJcSQxiiTaJNEmiSZJDElitUhiWpKYRBJLkcQokmiTRJMkmiTROd8MF6Cvf/3rPPfcc9x+++3MzMzQdNFFF/HAAw/wmc98hueff55Op7P24tINnNi/jZt+sce1h+/n4N19prHxmh30Dt/Hov6+7Tx7coFOp9PpdFZqhgvQgQMHuOSSSxjnoosuYtH3vvc9OkuzzbRssxy2Gcc2o9imzTZtthmyzVqxzbRsM4ltlmKbUWzTZpsm2zTZZsg2q8U2e979FsDM0kAAACAASURBVPo37uDe02e59vDXyGeeZym2GVp/2Va0+wCbb7iNp27/ON++/WMM2WYc24ximzbbNNmmyTZrwTYrYZtJbLMU27TZZhTbNNmmyTZDtlkttpmWbZbDNuPYZhTbtNmmyTZNtlkLtlkJ20xim3FsM4pt2mzTZpsm2wzZZrXYZlq2mcQ2S7HNKLZps02TbZps0znfDBegW265hW984xs89dRTjPKpT32KRZs3b6bTea05duwYe/fuZSmZSa/X49UgLt3Aif3beO/sJq6942scvLvPNDZes4PeHfex/rKt9Pdt59mTC3Q6nU6nM40ZLkDbt2/njW98I29+85u5+eabefTRR3n88cd58MEHec973sMtt9zCJz7xCTqTSWJaklgOSYwjiVEk0SaJNkkMSWKtSGJakphEEkuRxNCePXs4evQoiyTRJomIoN/vs0gSTZIYksRqkUTTwZ09Tuzbxr2nz3Lt4a8xiiTG0e4DbL7hNp66/eO88H98knEkMYok2iTRJIkmSawFSayEJCaRxFIk0SaJUSTRJIkmSQxJYrVIYlqSWA5JjCOJUSTRJokmSTRJYi1IYiUkMYkkxpHEKJJok0SbJJokMSSJ1SKJaUliEkksRRKjSKJNEk2SaJJE53wzXKDOnTvHVVddxcGDB5mdneVtb3sb11xzDQsLCxw8eJBPfvKTdDqdV5e4dAMn9m/jvbOb6B1a4J7TZ5nGxmt20LvjPtZftpX+vu08e3KBTqfT6XQmmeEC9YY3vIEHH3yQp59+mpMnT3L//ffzyCOP8Morr3DTTTfRWR7bTMs2y2GbcWwzim3abNNmmyHbrBXbTMs2k9hmKbYZxTZttmmyTZNthmyzWmwzzsGdPY5+8Cr23vkQx069wpBtluXf7mHzDbfx1O0f59u3f4wm24ximzbbNNmmyTZrwTYrYZtJbLMU27TZZhTbNNmmyTZDtlkttpmWbZbDNuPYZhTbtNmmyTZNtlkLtlkJ20xim3FsM4pt2mzTZpsm2wzZZrXYZlq2mcQ2S7HNKLZps02TbZps0znfDBc4SVx99dW8853v5IorrqDTea07duwYe/fuZSmZSa/X49Wsnt3EiX3beOyxJP/bQ9xz+izT2HjNDnp33Mf6y7bS37ed507+33Q6nU6nM8oMF6CHH36Y2dlZZmdnmZ2dZXZ2ltnZWWZnZ5mdnWV2dpYrr7ySzmSSmJYklkMS40hiFEm0SaJNEkOSWCuSmJYkJpHEUiQxtGfPHo4ePcoiSbRJIiLo9/sskkSTJIYksVokMUlcuoGjv3ktJ37n33Pt4fv5j393juWQxJB2H2DzDbex4f/8Iz78X30XSYwiiTZJNEmiSRJrQRIrIYlJJLEUSbRJYhRJNEmiSRJDklgtkpiWJJZDEuNIYhRJtEmiSRJNklgLklgJSUwiiXEkMYok2iTRJokmSQxJYrVIYlqSmEQSS5HEKJJok0STJJok0TnfDBeoc+fOce7cOc6dO8e5c+c4d+4cZ86c4dFHH+XRRx9l3bp1dDqdC0M9u4n+jTu49/RZeocWyGeeZxobr9lB7477+I3/6RP0923n2ZMLdDqdTqczNMMFaG5ujjNnznDmzBnOnDnDmTNnOHPmDOfOneN73/seb3rTm/iN3/gNOpPZZlq2WQ7bjGObUWzTZps22wzZZq3YZlq2mcQ2S7HNKLZps02TbZpsM2Sb1WKbacSlG7jrVy/n13/2LfQOLXDw7j7j2GYU7T7Auv/wCZ66/eN8+/aP0WSbNts02abJNmvBNithm0lssxTbtNlmFNs02abJNkO2WS22mZZtlsM249hmFNu02abJNk22WQu2WQnbTGKbcWwzim3abNNmmybbDNlmtdhmWraZxDZLsc0otmmzTZNtmmzTOd8MrzEXX3wxf/u3f8uBAwfodF6Ljh07xt69e1lKZtLr9bgQZCa9Xo+hgzt79G/cwb2nz3Lt4a+xXJlJr9dj4zU76N1xH+sv20p/33aePblAp9PpdH68zfAatGnTJhY99dRTdJYmiWlJYjkkMY4kRpFEmyTaJDEkibUiiWlJYhJJLEUSQ3v27OHo0aMskkSbJCKCfr/PIkk0SWJIEqtFEssREfT7fRZJYlFcuoET+7fx3tlN9A4tcM/pszRJoi0i6Pf7SGKRdh9g8w238dTtH+fbt38MSbRJokkSTZJYC5JYCUlMIomlSKJNEqNIokkSTZIYksRqkcS0JLEckhhHEqNIok0STZJoksRakMRKSGISSYwjiVEk0SaJNkk0SWJIEqtFEtOSxCSSWIokRpFEmySaJNEkic75ZngN+vSnP82in/iJn6DT6Vy4Du7scWLfNvbe+RB773yIaW28Zge9O+5j/WVb6e/bzrMnF+h0Op3Oj58ZLkAPP/wws7OzzM7OMjs7y+zsLLOzs/R6PX7qp36KgwcPsmPHDi6++GI6S7PNtGyzHLYZxzaj2KbNNm22GbLNWrHNtGwziW2WYptRbNNmmybbNNlmyDarxTbTsk1bXLqB/o07uHzTBnqHFrjn9FlsM45t2rT7AOv+wyd46vaP8+3bP8aQbZps02SbtWCblbDNJLZZim3abDOKbZps02SbIdusFttMyzbLYZtxbDOKbdps02SbJtusBdushG0msc04thnFNm22abNNk22GbP9/7MFhjJ0Hfe/5L5NMMBaNZf+CEwcP/j+4mzoNhDmmkYPJ3Th3e2spbyoVcCO1UT1CV2bcUEoc1CtSiXG7Fr2lBpob2fWbjm9ZqWBM232xRdm2TFDBqpMCGkJIWpqev89xasf0h3FCTMDTeHVeHN1nH5+Zc86EGZjwfD4sFdsMyzb92GYhtunFNlW2KbNNmW1qVxphhbp48SIXL17k4sWLXLx4kYsXL/LSSy9x9dVXMzk5yZe//GVqtVejo0ePMjExwUIyk6IoWAkyk6Io6GdqZ8H0PTdz16GvMfVIk6rMpCgK5rP6lu0Uh08yun6M5uQ2Lj55glqtVqv9dBhhBdqyZQtnzpzhzJkznDlzhjNnznDmzBnOnDnDqVOnOHToELXBSGJYkhiEJOYjiV4kUSWJKkl0SWK5SGJYkuhHEguRRNfu3buZnp6mQxJVkogIms0mHZIok0SXJJaKJAYRETSbTToksZAdm9fSfHA73/juCMWBEzz6zHm6IoJms4kkepFEh3bt4/r7PsFzD3+QS3/++5RJokwSy0ESiyGJfiSxEElUSaIXSZRJokwSXZJYKpIYliQGIYn5SKIXSVRJokwSZZJYDpJYDEn0I4n5SKIXSVRJokoSZZLoksRSkcSwJNGPJBYiiV4kUSWJMkmUSaJ2pRFWoKeffpo777yT+XzlK19hbGyMl19+mVqt9uoS61Yxs3cr0/fczF2HvsbUI02GtfqW7RSHTzK6fozm5DYuPnmCWq1Wq716jbBCzM3NMTc3x9zcHHNzc8zOzjI3N8fc3Bxzc3PMzc0xNzfHD3/4Qx5//HFOnz7NSy+9RG1hthmWbQZhm/nYphfbVNmmyjZdtlkuthmWbfqxzUJs04ttqmxTZpsy23TZZqnYZli2GYRtdmxeS/PB7XzxmfMUB06Q33mJDtv0Ypsr/B+72bj/OM89/EHaH3kXtimzzXKwzWLYph/bLMQ2VbbpxTZltimzTZdtlopthmWbQdhmPrbpxTZVtimzTZltloNtFsM2/dhmPrbpxTZVtqmyTZltumyzVGwzLNv0Y5uF2KYX21TZpsw2ZbapXWmEFeIb3/gGo6OjjI6O8ta3vpULFy4wOjrK6Ogoo6OjjI6OMjo6ymtf+1omJydZs2YNq1evplZ7tTl69CgTExMsJDMpioKVIDMpioLFiHWrmNm7ld/4hQ0UB07wmu2/wbBG149RHD7J6lu24//2X3h+5hi1Wq1We3UZYYUYHx/nAx/4ADt27GDHjh107Nixgx07drBjxw527NjBjh07+J3f+R1OnDjBuXPnqPUniWFJYhCSmI8kepFElSSqJNElieUiiWFJoh9JLEQSXbt372Z6epoOSVRJIiJoNpt0SKJMEl2SWCqSGERE0Gw26ZDEICRRNrWzoPngdnb8+gd492dOkd95iSpJVEmiS7v2URz4v7nw6Gdof+RddEhiOUhiMSTRjyQWIokqSfQiiTJJlEmiSxJLRRLDksQgJDEfSfQiiSpJlEmiTBLLQRKLIYl+JDEfSfQiiSpJVEmiTBJdklgqkhiWJPqRxEIk0YskqiRRJokySdSuNMIK8slPfpKZmRkOHz7M9u3bmZmZYWZmhpmZGWZmZpiZmeEP/uAPeMc73sE111xDrVb76RHrVjGzdyt3bl7LXYe/ytQjTYY1un6Msf2fY/Ut22lObsPHDlKr1Wq1lW+EFWjLli18+ctfpvbK2WZYthmEbeZjm15sU2WbKtt02Wa52GZYtunHNguxTS+2qbJNmW3KbNNlm6Vim2HZZhC2mc/7f+FaZia38sVnznPXoa/SZZsq25TZpkO79rFx/3H8+N/RnNzGpXNtlpJtFsM2/dhmIbapsk0vtimzTZltumyzVGwzLNsMwjbzsU0vtqmyTZltymyzHGyzGLbpxzbzsU0vtqmyTZVtymzTZZulYpth2aYf2yzENr3Ypso2ZbYps03tSiOsEG95y1vYsmULHU8//TRjY2OMjY0xNjbG2NgYY2NjjI2NMTY2xtjYGJs2baJWezU6evQoExMTLCQzKYqClSAzKYqCVyozKYqCjli3ipm9W7lz81qKAyd49JnzDGt0/Rj6b5/i2rt20dy7DR87SK1Wq9VWphFqP9UkMSxJDEIS85FEL5KokkSVJLoksVwkMSxJ9COJhUiia/fu3UxPT9MhiSpJRATNZpMOSZRJoksSS0USg4gIms0mHZIYhCSqIoJms4kkuqZ2FsxMbmXi00/x7s+cokoSZZIok4R27aM4dJKLT57g0oF3cfHJE/yoSWIxJNGPJBYiiSpJ9CKJMkmUSaJLEktFEsOSxCAkMR9J9CKJKkmUSaJMEstBEoshiX4kMR9J9CKJKklUSaJMEl2SWCqSGJYk+pHEQiTRiySqJFEmiTJJ1K40wgrxjW98g6effpqOLVu20G63abfbtNtt2u027XabdrtNu92m3W5z6tQparVaLdatovngdu7cvJbiwAkefeY8wxpdP8bY/s9x1T0Pcvoj78bHDlKr1Wq1lWOE2k812wzLNoOwzXxs04ttqmxTZZsu2ywX2wzLNv3YZiG26cU2VbYps02Zbbpss1RsMyzbDMI287FNL+//hWuZvudmJj79FBOffooO25TZpsw2ZSObt1IcOklHc3Ibz88c40fBNothm35ssxDbVNmmF9uU2abMNl22WSq2GZZtBmGb+dimF9tU2abMNmW2WQ62WQzb9GOb+dimF9tU2abKNmW26bLNUrHNsGzTj20WYptebFNlmzLblNmmdqURVijbvOMd76AoCoqioCgKiqKgKAqKomDz5s3Uaq9GR48eZWJigoVkJkVRsBJkJkVR8EplJkVRsJAdm9fSfHA7m9auojhwgkefOc+wRtePoV372Lj/OBce/Qztj7yLS+fa1Gq1Wu0n1wgr0NzcHNdddx3/8A//wPe+9z3m5uaYm5tjbm6Oubk55ubmmJubo9afJIYliUFIYj6S6EUSVZKokkSXJJaLJIYliX4ksRBJdO3evZvp6Wk6JFEliYig2WzSIYkySXRJYqlIYhARQbPZpEMSg5BEVUTQbDaRRC+S6JraWTB9z8088DfnmPj0U3RJokwS8xldP8bY/s+x+pbtNPduw8cOsliSWAxJ9COJhUiiShK9SKJMEmWS6JLEUpHEsCQxCEnMRxK9SKJKEmWSKJPEcpDEYkiiH0nMRxK9SKJKElWSKJNElySWiiSGJYl+JLEQSfQiiSpJlEmiTBK1K42wAv31X/81HY899hjf/va3abfbtNtt2u027XabdrvNqVOnqNVqtfns2LyW5oPb2bR2FcWBEzz6zHkWQ7v2URw6yaVzbZqT27j45AlqtVqt9pNlhBXoT//0T7nuuuu47bbbqL0ythmWbQZhm/nYphfbVNmmyjZdtlkuthmWbfqxzUJs04ttqmxTZpsy23TZZqnYZli2GYRt5mObXmxTZZupnQXT99zMxKefYuLTT1Fmm0GMrh/jhvs+yfX3fYLnHv4g7Y+8i0vn2gzKNothm35ssxDbVNmmF9uU2abMNl22WSq2GZZtBmGb+dimF9tU2abMNmW2WQ62WQzb9GOb+dimF9tU2abKNmW26bLNUrHNsGzTj20WYptebFNlmzLblNmmdqURVqCpqSlefPFFarWfRkePHmViYoKFZCZFUbASZCZFUfBKZSZFUbAYOzavpfngdjatXUVx4ASPPnOexVh9y3aKwydZfct2mnu34WMHqdVqtdqP3wgr0Pj4OKtWreKjH/0otVdGEsOSxCAkMR9J9CKJKklUSaJLEstFEsOSRD+SWIgkunbv3s309DQdkqiSRETQbDbpkESZJLoksVQkMYiIoNls0iGJQUiiKiJoNptIohdJVEmibGpnwfQ9NzPx6ae469BXkcRiaNc+ikMn6WhObsPHDrIQSSyGJPqRxEIkUSWJXiRRJokySXRJYqlIYliSGIQk5iOJXiRRJYkySZRJYjlIYjEk0Y8k5iOJXiRRJYkqSZRJoksSS0USw5JEP5JYiCR6kUSVJMokUSaJ2pVGWIGefvpp3vzmN/PhD3+Y17/+9WzatImiKCiKgqIoKIqCzZs3U6vVasPasXktzQe3c+fmtRQHTjD1SJPFGF0/hnbtY+P+41x88gTNyW1cfPIEtVqtVlt+I6xQzz33HBs3bmTt2rW8/PLLzM3NMTc3x9zcHHNzc8zNzfGT6OWXX+af/umfeOGFF/hJYJth2WYQtpmPbXqxTZVtqmzTZZvlYpth2aYf2yzENr3Ypso2ZbYps02XbZaKbYZlm0HYZj626cU2VbYps03X1M6C47s28cVnznPXoa+yWKPrxxjb/zm0ax/PPfxB2h95F5fOtSmzzWLYph/bLMQ2VbbpxTZltimzTZdtlopthmWbQdhmPrbpxTZVtimzTZltloNtFsM2/dhmPrbpxTZVtqmyTZltumyzVGwzLNv0Y5uF2KYX21TZpsw2ZbapXWmEFWjLli20223a7Tbtdpt2u0273abdbtNut2m325w6dYrl9Fu/9Vvs2bOHPXv2sGfPHvbs2cOePXt46qmn6Pr85z/Pfffdx8c//nEeeOABHnroIS5evEitNoyjR48yMTHBQjKToihYCTKToih4pTKToij4UYp1q5jZu5U7N6/lNfu+wB+fPM9iXXvXLorDJ1l9y3aae7fhYwep1Wq12vIYofaKXbhwgR/84Af84i/+IhMTE0xMTDAxMcHExAQ33ngjHY8//jh/9Vd/xa/92q/xJ3/yJ3z4wx/m2Wef5c/+7M/4cZLEsCQxCEnMRxK9SKJKElWS6JLEcpHEsCTRjyQWIomu3bt3Mz09TYckqiQRETSbTTokUSaJLkksFUkMIiJoNpt0SGIQkqiKCJrNJpLoRRJVkiiTRJkkOqZ2FjQf3M4/PPt9igMnePSZ8yyWdu2jOHSSjubkNnzsIJJYDEn0I4mFSKJKEr1IokwSZZLoksRSkcSwJDEIScxHEr1IokoSZZIok8RykMRiSKIfScxHEr1IokoSVZIok0SXJJaKJIYliX4ksRBJ9CKJKkmUSaJMErUrjVB7xZrNJh2/9Eu/xO23387tt9/O7bffzu23386aNWvo+PznP89b3/pW3vnOd/Ka17yGTZs28Su/8it87Wtf47nnnqNWq/1ki3Wr+PNfuZHf+IUN3HXoa0w90mSxRtePoV372Lj/OJfOtWlObsPHDlKr1Wq1pTHCCvT000+zYcMGNmzYwIYNG9iwYQMbNmxgw4YNbNiwgQ0bNjA2NsaWLVvYv38/S+306dO87nWvY82aNfRy6dIlnn32Wd72trdR9va3v52Op556ih8X2wzLNoOwzXxs04ttqmxTZZsu2ywX2wzLNv3YZiG26cU2VbYps02Zbbpss1RsMyzbDMI287FNL7apsk2ZbcpsUzW1s6D54HZOnX+J4sAJHn3mPIs1un6MG+77JK/7rSNcfPIEzclt+NhBBmWbfmyzENtU2aYX25TZpsw2XbZZKrYZlm0GYZv52KYX21TZpsw2ZbZZDrZZDNv0Y5v52KYX21TZpso2Zbbpss1Ssc2wbNOPbRZim15sU2WbMtuU2aZ2pRFWqDVr1nD27FkuXLjAmjVrWLt2LSMjI5w9e5azZ8/y8ssvc+7cOaampti0aRNL6dlnn+W6667jE5/4BJOTk0xOTnLw4EGee+45Or71rW/RsWbNGsquvvpqRkdHabfbDGLPnj3s2bOHPXv2sGfPHj71qU+RmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlm0mq1yEwyk8wkM8lMMpPMJDPJTDKTzCQzabVaZCaZSWaSmWQmmUlmkplkJq1Wi8wkM8lMMpPMJDNptVpkJplJZpKZZCatVovMJDPJTDKTVqtFZpKZZCaZSavVIjPJTFqtFplJZpKZnD59mswkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzabVaZCaZSWaSmWQmmUlmkplkJplJZpKZtFotMpPMJDPJTDKTzCQzyUxarRaZSWaSmWQmmUlmkpm0Wi0yk8zkj/7oj3jPe95DZtJqtchMMpPMJDNptVp86UtfYmxsjMyk1WqRmWQmmUmr1SIzyUxarRaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZtJqtchMMpPMJDPJTDKTzCQzyUy+9KUvMTY2RmbSarXITDKTzCQzyUwyk8wkM8lMWq0WmUlmkplkJl/60pcYGxuj1WqRmWQmmUlmkpm0Wi0yk8wkM8lMWq0WmUlmkpm0Wi0yk8wkM2m1WmQmmUlmcvr0aTITnj/LR25/HR/dsZZ7/68neMfHT5CZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZyZmXLvMfEwfhv36S73zlC3zrv76df/3sITKTzCQzyUwyk8wkM8lMWq0WmUlmkplkJplJZpKZZCatVovMJDPJTDKTzCQzyUxarRaZSWaSmWQmrVaLzCQzyUwyk8yk1WqRmWQmmUmr1SIzyUwyk1arRWaSmbRaLTKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMpNVqkZlkJplJZpKZZCaZSWaSmWQmmUlm0mq1yEwyk8wkM8lMMpPMJDPJTFqtFplJZpKZZCaZSWbSarXITDKTzCQzyUxarRaZSWaSmWQmrVaLzCQzyUxarRaZSWaSmbRaLTKTzCQzOX36NJlJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUmr1SIzyUwyk8wkM8lMMpPMJDPJTDKTzCQzabVaZCaZSWaSmWQmmUlmkpm0Wi0yk8wkM8lMMpPMpNVqkZlkJplJZpKZtFotMpPMJDPJTFqtFplJZpKZZCatVovMJDPJTFqtFplJZtJqtchMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk1arRWaSmWQmmUlmkplkJplJZpKZZCaZSavVIjPJTDKTzCQzyUwyk8yk1WqRmWQmmUlmkplkJplJq9UiM8lMMpPMJDNptVpkJplJZpKZtFotMpPMJDNptVpkJp/61KfYs2cPH/7wh9mzZw979uyh9r+MsAJt2bKFf/mXf+F3f/d3uXjxIk8//TTf/OY3efbZZzl9+jQdf/iHf8h3vvMdHnvsMVqtFocOHWKpNJtNzp49y8/93M/xm7/5m/z6r/863/72t/nYxz7Gd7/7XV5++WU6rr76aqquuuoq5ubmGMSRI0c4cuQIR44c4ciRI9x7771EBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARNBoNIoKIICKICCKCiCAiiAgigoggIogIGo0GEUFEEBFEBBFBRBARRAQRQaPRICKICCKCiCAiiAgajQYRQUQQEUQEEUGj0SAiiAgigoig0WgQEUQEEUFE0Gg0iAgigkajQUQQEUQEGzduJCKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIGo0GEUFEEBFEBBFBRBARRAQRQUQQEUQEjUaDiCAiiAgigoggIogIIoJGo0FEEBFEBBFBRBARRASNRoOIICJ44IEH+OxnP0tE0Gg0iAgigoggImg0Gtxxxx20220igkajQUQQEUQEjUaDiCAiaDQaRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBo9EgIogIIoKIICKICCKCiCAiuOOOO2i320QEjUaDiCAiiAgigoggIogIIoKIoNFoEBFEBBFBRHDHHXfQbrdpNBpEBBFBRBARRASNRoOIICKICCKCRqNBRBARRASNRoOIICKICBqNBhFBRBARbNy4kYggIogI7nnnzbQ/8r+z85YNFP/jXzn6T5eJCCKCiCAiiAgigoggIogIIoKIICKICBqNBhFBsfUd/G///f8hDvwVo9/4Oy7/919lXfMxIoKIICKICCKCiKDRaBARRAQRQUQQEUQEEUFE0Gg0iAgigoggIogIIoKIoNFoEBFEBBFBRNBoNIgIIoKIICKICBqNBhFBRBARNBoNIoKIICJoNBpEBBFBo9EgIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgajQYRQUQQEUQEEUFEEBFEBBFBRBARRASNRoOIICKICCKCiCAiiAgigoig0WgQEUQEEUFEEBFEBI1Gg4ggIogIIoKIoNFoEBFEBBFBRNBoNIgIIoKIoNFoHL8uTwAAIABJREFUEBFEBBFBo9EgIogIIoKNGzcSEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARNBoNIoKIICKICCKCiCAiiAgigoggIogIIoJGo0FEEBFEBBFBRBARRAQRQaPRICKICCKCiCAiiAgajQYRQUQQEUQEEUGj0SAiiAgigoig0WgQEUQEEUFE0Gg0iAgigoig0WgQEUQEjUaDiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICJoNBpEBBFBRBARRAQRQUQQEUQEEUFEEBE0Gg0igoggIogIIoKIICKICBqNBhFBRBARRAQRQUQQETQaDSKCiCAiiAgigkajQUQQEUQEEUGj0SAiiAgigkajQURw7733cuTIEY4cOcKRI0c4cuQItf9lhBXos5/9LK9//ev5/d//fare+MY3cvjwYd7//vfTcdttt/G2t72Nhx9+mFdibm6OF198kRdffJEXX3yRF198ka577rmHD33oQ9x999285S1v4Z3vfCe//du/zQsvvMDf/u3fUqvVXt2mdhY0H9zOF585T3HgBI8+c55XYnT9GGP7P8f1930CHztIc3IbPnaQWq1Wqy3OCCvQww8/zJo1a5jPHXfcwfPPP0/XmjVr+P73v88rcfLkSe6//37uv/9+7r//fu6//35+8IMf0DE+Ps6mTZsou+GGG7jxxht57rnnGB0dpWNubo6q//iP/+Dqq6/mx8U2w7LNIGwzH9v0Ypsq21TZpss2y8U2w7JNP7ZZiG16sU2VbcpsU2abLtssFdsMyzaDsM18bNOLbapsU2abMtsMKtatYmbvVqbvuZmJTz/FXYe+yqBs08vqW7ZTHD7Jxv3HufjkCZqT2/Cxg3TZph/bLMQ2VbbpxTZltimzTZdtlopthmWbQdhmPrbpxTZVtimzTZltloNtFsM2/dhmPrbpxTZVtqmyTZltumyzVGwzLNv0Y5uF2KYX21TZpsw2ZbapXWmEFejjH/84rVaLM2fO0Mt73/te3vCGN9B15swZfuZnfoZXYsuWLUxOTjI5Ocnk5CSTk5OMjo7y4osv8uSTT3LhwgV6ueqqq9i8eTMdL774ImVzc3NcunSJiKBWG9TRo0eZmJhgIZlJURSsBJlJURS8UplJURT8uO3YvJbmg9u5c/NaXrPvC0w90uSVGl0/xtj+z7Fx/3EuPnmC5uQ2fOwgtVqtVhvMCCvQ29/+dl772tdy44038tBDD3Hq1CmeffZZvvnNb3LTTTfx2GOP8dBDD9Fx9913861vfYs//uM/5pWQxPj4OOPj44yPjzM+Ps7IyAgvvPACDz30EH//939PmW3Onj3L2NgYV199NWNjY3zta1+j7Ctf+QodN910Ez8ukhiWJAYhiflIohdJVEmiShJdklgukhiWJPqRxEIk0bV7926mp6fpkESVJCKCZrNJhyTKJNEliaUiiUFEBM1mkw5JDEISVRFBs9lEEr1IokoSZZIok8RiTe0saD64nVPnX6I4cIKjj59hPpIYxOj6Mcb2f46N+49z6Vyb53/3bnzsIAuRxEIkUSWJXiRRJokySXRJYqlIYliSGIQk5iOJXiRRJYkySZRJYjlIYjEk0Y8k5iOJXiRRJYkqSZRJoksSS0USw5JEP5JYiCR6kUSVJMokUSaJ2pVGWKGef/55br75Zj7wgQ8QEWzcuJFbbrmFf/3Xf+Xw4cO85z3vwTaf//zn2b17N3fddRdL4YYbbuDWW2/lb/7mb/j6179Ox5kzZzh8+DBr1qzhrrvuomPnzp3Mzs7yd3/3d1y+fJnM5C/+4i9429vexvXXX0+tVnv1iXWrmL7nZmYmt7L//21SHDjBo8+c55UaXT/GDfd9ko37j9Pxz+++ER87yKVzbWq1Wq12pRFWqGuuuYZvfvObnDt3jtnZWf7xH/+Rb33rW8zNzfG+972PDklcunSJ6elpltLExAS33norhw8fZs+ePUxNTfHa176WBx54gNWrV9Nx22238cu//Mt87nOf433vex8f/ehH2bhxI7t37+bHyTbDss0gbDMf2/RimyrbVNmmyzbLxTbDsk0/tlmIbXqxTZVtymxTZpsu2ywV2wzLNoOwzXxs04ttqmxTZpsy2/woxLpVNB/czm/8wgbuOvQ1ph5pUmabxXj+qtVo1z6KQyfpaO7dRnNyG8/PHKPLNguxTZVterFNmW3KbNNlm6Vim2HZZhC2mY9terFNlW3KbFNmm+Vgm8WwTT+2mY9terFNlW2qbFNmmy7bLBXbDMs2/dhmIbbpxTZVtimzTZltalcaYYV7wxvewK233srb3/52fvZnf5aul19+mY6rr76apbZ69Wre+973cvjwYY4cOcKRI0f40Ic+xHXXXUfZ3XffzaFDhzhy5AhHjhzh/e9/P6tXr6ZWG8bRo0eZmJhgIZlJURSsBJlJURS8UplJURT8JJvaWXD54H+m4zX7vsDUI01+FEbXj6Fd+7jp+L9x7V278LGDNCe34WMHqdVqtRqMsEK1221uvfVWiqKgKAqKoqAoCjZt2sSGDRu45pprqPUniWFJYhCSmI8kepFElSSqJNElieUiiWFJoh9JLEQSXbt372Z6epoOSVRJIiJoNpt0SKJMEl2SWCqSGERE0Gw26ZDEICRRFRE0m00k0YskqiRRJokySSyFqZ0FzQe301EcOMH/+MfnWQxJVGnXPorDJ9m4/ziXzrV5/nfvxscOculcm14kUSWJXiRRJokySXRJYqlIYliSGIQk5iOJXiRRJYkySZRJYjlIYjEk0Y8k5iOJXiRRJYkqSZRJoksSS0USw5JEP5JYiCR6kUSVJMokUSaJ2pVGWIF++MMf8qY3vYknnniCixcvkpl873vf4/z587RaLc6ePcuv/uqvUqvVaj+pYt0qpnYWzExu5dT5lygOnGDqkSY/KqPrx7jhvk+ycf9xOpp7t9Gc3MbzM8eo1Wq1nzYjrEBPPPEEHadPn+a5557jzW9+M/feey/f/e53uXDhAq973ev4T//pP1HrzzbDss0gbDMf2/RimyrbVNmmyzbLxTbDsk0/tlmIbXqxTZVtymxTZpsu2ywV2wzLNoOwzXxs04ttqmxTZpsy2yy1WLeKP/ov65mZ3MoXnzlPceAEU480GYRt+nn+qtVo1z5uOv5vXHvXLnzsIM3JbfjYQTpsU2WbXmxTZpsy23TZZqnYZli2GYRt5mObXmxTZZsy25TZZjnYZjFs049t5mObXmxTZZsq25TZpss2S8U2w7JNP7ZZiG16sU2VbcpsU2ab2pVGWIEefPBBbrzxRt74xjfScfPNN/OXf/mXdFx77bU89thj3H///dRqr0ZHjx5lYmKChWQmRVGwEmQmRVHwSmUmRVGwUsW6Vczs3crM5Fa++Mx5igMnOPr4GX6UtGsfxeGTbNx/nI5/fveN+MiHeH7mGLVarfZqNsIKtGnTJq655hq69u/fj226brrpJr7//e9jm9rCJDEsSQxCEvORRC+SqJJElSS6JLFcJDEsSfQjiYVIomv37t1MT0/TIYkqSUQEzWaTDkmUSaJLEktFEoOICJrNJh2SGIQkqiKCZrOJJHqRRJUkyiRRJonlIImuWLeKmb1bmZncyv98/AzFgRMcffwMvUiiH0lUja4fQ7v2URw6iX72FnzsIM3JbfjYQTok0YskyiRRJokuSSwVSQxLEoOQxHwk0YskqiRRJokySSwHSSyGJPqRxHwk0YskqiRRJYkySXRJYqlIYliS6EcSC5FEL5KokkSZJMokUbvSCCvQBz7wATKTl19+mY7rrruOF154gYsXL9Lx0ksv0TE3N0etVqutRLFuFTN7tzIzuZX/+fgZigMnmHqkyY/S6PoxtGsfxeGTbNx/nI5/fveNtD/yLp6fOUatVqu9WoywAv38z/88o6OjvP71r+fQoUNs2rSJq666ittvv51vfOMb3HHHHXRcf/311BZmm2HZZhC2mY9terFNlW2qbNNlm+Vim2HZph/bLMQ2vdimyjZltimzTZdtlopthmWbQdhmPrbpxTZVtimzTZltloNt5hPrVjGzdyszk1v54jPnKQ6cYOqRJh226cc2C7FNx+j6MbRrH8Whk3z/hp/Dxw7SnNyGjx3k0rk2HbYps02Zbbpss1RsMyzbDMI287FNL7apsk2Zbcpssxxssxi26cc287FNL7apsk2Vbcps02WbpWKbYdmmH9ssxDa92KbKNmW2KbNN7UojrFCnTp1izZo13HbbbXRMT0/zxBNP8Na3vpUnnniCj33sY9Rqr0ZHjx5lYmKChWQmRVGwEmQmRVHwSmUmRVHwahXrVjGzdyszk1s5df4ligMnmHqkyY/a6PoxtGsfxeGTbNx/nI7m3m00J7fhYwep1Wq1lWiEFWrDhg2cOXOG2267jY57772XCxcu8NRTT3Hu3DkeeOABav1JYliSGIQk5iOJXiRRJYkqSXRJYrlIYliS6EcSC5FE1+7du5menqZDElWSiAiazSYdkiiTRJcklookBhERNJtNOiQxCElURQTNZhNJ9CKJKkmUSaJMEstBEoOKdauYvudmZia3IoniwAmmHmkyH0ksRBJVkugYXT+Gdu3jpuP/xvX3fYJr/+Mizclt+NhBLj55AkmUSaJLEktFEsOSxCAkMR9J9CKJKkmUSaJMEstBEoshiX4kMR9J9CKJKklUSaJMEl2SWCqSGJYk+pHEQiTRiySqJFEmiTJJ1K40wqvItddey5YtW3jDG95ArVarvZrFulVM7SyYmdxKx2v2fYGpR5rkd15iKay+ZTs33PdJNu4/TsdzD3+Q5uQ2fOwgtVqt9pNuhBXizjvvZHx8nPHxccbHxxkfH2d8fJzx8XHGx8cZHx9nfHyc8fFxxsfH2bp1K7X+bDMs2wzCNvOxTS+2qbJNlW26bLNcbDMs2/Rjm4XYphfbVNmmzDZltumyzVKxzbBsMwjbzMc2vdimyjZltimzzXKwzWLYJtatYmpnQfPB7XTcdfirFAdOMPVIkw7bLMQ2VbbpxTaj68fQrn0Uh0/yut86Qsc/v/tGmpPb8LGDdNlmqdhmWLYZhG3mY5tebFNlmzLblNlmOdhmMWzTj23mY5tebFNlmyrblNmmyzZLxTbDsk0/tlmIbXqxTZVtymxTZpvalUZYIWZnZ5mdnWV2dpbZ2VlmZ2eZnZ1ldnaW2dlZZmdnmZ2dZXZ2ltnZWb7+9a9Tq70aHT16lImJCRaSmRRFwUqQmRRFwSuVmRRFwU+rWLeKqZ0FzQe3M33PzXzxmfMUB04w9UiTpTK6fgzt2sdNx/+N6+/7BJfOtWlObsPHDnLxyRPUarXaT4oRVog3velNdKxdu5YPfvCDnD17lsuXL3P58mUuX77M5cuXuXz5MpcvX+by5cvMzc1R608Sw5LEICQxH0n0IokqSVRJoksSy0USw5JEP5JYiCS6du/ezfT0NB2SqJJERNBsNumQRJkkuiSxVCQxiIig2WzSIYlBSKIqImg2m0iiF0lUSaJMEmWSWA6SWAxJ9LJj81pm9m5lZnIrknjNvi8w9UiT/M5LVEmiShK9SKJMEl2rb9nODfd9ko37j9Mx9+f/J83JbfjYQS6da/OjJIlhSWIQkpiPJHqRRJUkyiRRJonlIInFkEQ/kpiPJHqRRJUkqiRRJokuSSwVSQxLEv1IYiGS6EUSVZIok0SZJGpXGmGF+PrXv86FCxf4vd/7PT7zmc9www03cP3117N//35sU6vVarX/v1i3iqmdBc0Ht9Nx1+GvUhw4wdQjTZbK6PoxtGsfxeGTbNx/nI7m3m00J7fhYwep1Wq1H4cRVpBrr72W++67j2effZZ///d/Z+/evTz88MNcd911jI2N8fDDD/O9732P2uBsMyzbDMI287FNL7apsk2Vbbpss1xsMyzb9GObhdimF9tU2abMNmW26bLNUrHNsGwzCNvMxza92KbKNmW2KbPNcrDNYtimH9vEulVM7Sxo/n/swXFsn4d95/e3aDHVeWhS61MoLiv+8n3mAxfPco0pvQmnbGlk3J2GAgesCctzEQSVsD80ZmqQmhkwxDmIBKp2TcfUSDIr2j9UExRICApLsQYGscV0lo6D4IMfLVfBMAPv+Qay6VjNx2ocWHUgxR5+OPzWB49/5I8/2mSi+Hm9HjnKyvRhvn/9NYqzq8wuV3w3X6LJNv3Yps42dbbpsc3ogXE0NcPE0joH55boWpsco5o+ghfn2S7bDMs2W2GbjdimH9s02abONnW22Q222Q7bDGKbjdimH9s02abJNnW26bHNTrHNsGwziG02Y5t+bNNkmzrb1Nmm9WYj3KYkcebMGf7u7/6O9fV1fvd3f5fPfvaz/PIv/zJFUfCXf/mXtFq/iC5cuMDJkyfZTGZSFAW3g8ykKAreqsykKApam4v9+1h46F5Wpg/T9cAXr1CcXWV2uWInjR4YR1MzTCyt8+5jU9y8dpVq+ghenOfGlVVarVZrJ43wC+DXfu3X+PznP88Pf/hDFhcXyUx+//d/n9ZgkhiWJLZCEhuRRD+SaJJEkyR6JLFbJDEsSQwiic1IoufEiRMsLCzQJYkmSUQEVVXRJYk6SfRIYqdIYisigqqq6JLEVkiiKSKoqgpJ9COJJknUSaJOErtBEtshiUEk0U/s38fs8YI35h9k4aF7+f711yjOrjK7XPHjPf8R/UiiThJ1kuiRxEY0NcPdpx/l4NwSXS996Q+ppo/gxXluXrvKIJIYliS2QhIbkUQ/kmiSRJ0k6iSxGySxHZIYRBIbkUQ/kmiSRJMk6iTRI4mdIolhSWIQSWxGEv1IokkSdZKok0TrzUa4zb3++ut85zvf4f3vfz+jo6NMTU0xNjbGo48+SqvVarUG+/A9d7Hw0L2sTB+mqzi7SnF2ldnlip00emAcTc1QnLvEwbkluqpPHKGaPoIX52m1Wq23ywi3oVu3bvGd73yH97///dxxxx186EMf4kc/+hF/9md/xssvv8wLL7zA6dOnaQ1mm2HZZitssxHb9GObJts02abHNrvFNsOyzSC22Yxt+rFNk23qbFNnmx7b7BTbDMs2W2GbjdimH9s02abONnW22Q222Q7bDGKbzdimJ/bvY/Z4wQ8/8wAr04f5/vXX2DPzBLPLFU8+dx3b1NmmzjY9thnG6IFxNDXDxNI6B+eW6FqbHKOaPoIX56mzzbBssxW22Yht+rFNk23qbFNnm91gm+2wzSC22Yht+rFNk22abFNnmx7b7BTbDMs2g9hmM7bpxzZNtqmzTZ1tWm82wm3i1q1bfPvb3+b9738/o6OjfOhDH+L69evMzs7ywx/+kBdffJFPf/rT3HXXXbRav8guXLjAyZMn2UxmUhQFt4PMpCgK3qrMpCgKWm+P2L+PhYfupXrkKF0nv/YMD3zxb5ldrthpowfG0dQME0vrvPf0n3Pz2lXWJse4euajvLKySKvVag1rhNvEr/7qr/LhD38Y23z2s5/lBz/4AS+99BJnzpxBEq3tkcSwJLEVktiIJPqRRJMkmiTRI4ndIolhSWIQSWxGEj0nTpxgYWGBLkk0SSIiqKqKLknUSaJHEjtFElsREVRVRZcktkISTRFBVVVIoh9JNEmiThJ1ktgNktgOSQwiic1IokkSPbF/H7PHC6pHjvI3nzxC156ZJyjOrvLFf/cKdZLokcTb4c77jnL36UcpHrvEnfcd5UdPfp1XPvvbeHGeG1dW2SpJbIUkNiKJfiTRJIk6SdRJYjdIYjskMYgkNiKJfiTRJIkmSdRJokcSO0USw5LEIJLYjCT6kUSTJOokUSeJ1puNcJu5fv06f/Inf8Kv//qvs3fvXvbu3cvevXvZu3cve/fuZe/evezdu5d3vetdtFqtVuvtE/v3MXu84I35Bznzrwq+f/01irOrzC5XPPncdXbS6IFxNDXD+NxFDs4t0fXSl/6QavoIXpzn5rWrtFqt1kZGuE088MADPPDAAxw6dIhDhw5x6NAhDh06xKFDhzh06BCHDh3i0KFDHDp0iEOHDnHo0CFag9lmWLbZCttsxDb92KbJNk226bHNbrHNsGwziG02Y5t+bNNkmzrb1NmmxzY7xTbDss1W2GYjtunHNk22qbNNnW12g222wzaD2GYztmmyTT+26Tnxz36N/+lfHmBl+jBdJ7/2DMXZVWaXK/Ll17DNTnnljjvR1AzFuUscnFui6/kzk1TTR/DiPP3YZitssxHb9GObJtvU2abONrvBNtthm0FssxHb9GObJts02abONj222Sm2GZZtBrHNZmzTj22abFNnmzrbtN5shNvEt7/9bS5fvszly5e5fPkyly9f5vLly1y+fJnLly9z+fJlLl++zOXLl7l8+TJPP/00rdYvogsXLnDy5Ek2k5kURcHtIDMpioK3KjMpioLW7or9+5g9XlA9cpS/+tg9dBVnV3ngi3/L7HLFThs9MI6mZijOXeLg3BJda5NjVNNH8OI8rVar1TVC6x1NEsOSxFZIYiOS6EcSTZJokkSPJHaLJIYliUEksRlJ9Jw4cYKFhQW6JNEkiYigqiq6JFEniR5J7BRJbEVEUFUVXZLYCkk0RQRVVSGJfiTRJIk6SdRJYjdIYjskMYgkNiOJJkn0I4k6SdT9RryX2eMFb8w/yN988gjfv/4ae2aeYHa54sJTL/J2kUQ/owfG0dQME0vrHJxbomttcoxq+gh86wJbIYmNSKIfSTRJok4SdZLYDZLYDkkMIomNSKIfSTRJokkSdZLokcROkcSwJDGIJDYjiX4k0SSJOknUSaL1ZiO0Wq1Wq/U2i/37WHjoXqpHjtL1F0+9SHF2ldnlinz5NXba6IFxNDVD8dgl3n1sipvXrlJNH8GL87yyskir1XpnGaH1jmabYdlmK2yzEdv0Y5sm2zTZpsc2u8U2w7LNILbZjG36sU2TbepsU2ebHtvsFNsMyzZbYZuN2KYf2zTZps42dbbZDbbZDtsMYpvN2KbJNv3Yps42dbbpsU1X7N/H7PGClU8cZmX6MF3Hzj1NcXaV2eWK7bDNVo0eGEdTM4z+3r/l4NwSXT968utU00fw4jw3rqxSZ5uN2KYf2zTZps42dbbZDbbZDtsMYpuN2KYf2zTZpsk2dbbpsc1Osc2wbDOIbTZjm35s02SbOtvU2ab1ZiO0Wq3byoULFzh58iSbyUyKouB2kJkURcFblZkURUHr51fs38fs8YLqkaOsTB+ma8/MExRnV5ldrthpowfG0dQM43MXOTi3RNdLX/pDqukjeHGem9eu0mq1fjGN0HpHk8SwJLEVktiIJPqRRJMkmiTRI4ndIolhSWIQSWxGEj0nTpxgYWGBLkk0SSIiqKqKLknUSaJHEjtFElsREVRVRZcktkISTRFBVVVIoh9JNEmiThJ1ktgNktgOSQwiic1IokkS/UiiThJ1kuiRxGZi/z5mjxe8Mf8gCw/dy/evv8aemSc49tjTXHjqRTYjiWFJom70wDiamqE4d4mDc0t0/eB//hSvfPa38eI8N69dpUkS/UiiSRJ1kqiTxG6QxHZIYhBJbEQS/UiiSRJNkqiTRI8kdookhiWJQSSxGUn0I4kmSdRJok4SrTcbodVqtVqtn6EP33MXCw/dS/XIUX7rnrv4i6depDi7yuxyxZPPXWenjR4YR1MzjM9d5ODcEl3VJ45QTR/Bi/O0Wq3b3witdzTbDMs2W2GbjdimH9s02abJNj222S22GZZtBrHNZmzTj22abFNnmzrb9Nhmp9hmWLbZCttsxDb92KbJNnW2qbPNbrDNdthmENtsxjZNtunHNnW2qbNNj22GFfv3MXu8YOUTh1mZPkzXya89Q3F2ldnlinz5NbpsMyzbbMUrd9yJpmaYWFrn4NwSXWuTY1TTR/DiPP3Ypsk2dbaps81usM122GYQ22zENv3Ypsk2Tbaps02PbXaKbYZlm0Fssxnb9GObJtvU2abONq03G6HVat1WLly4wMmTJ9lMZlIUBbeDzKQoCt6qzKQoClq/GGL/PmaPF1SPHGVl+jBdxdlVirOrzC5X7IbRA+NoaoaJpXXee/rP6VqbHKOaPoIX52m1WrePEVrvaJIYliS2QhIbkUQ/kmiSRJMkeiSxWyQxLEkMIonNSKLnxIkTLCws0CWJJklEBFVV0SWJOkn0SGKnSGIrIoKqquiSxFZIoikiqKoKSfQjiSZJ1EmiThK7QRLbIYlBJLEZSTRJoh9J1EmiThI9kni7xP59zB4veGP+QVamDyOJPTNPUJxdZXa5YisksRWS6OfO+46iqRkmltZ597Epbl67ytrkGFfPfBS+dYEmSdRJok4Su0ES2yGJQSSxEUn0I4kmSTRJok4SPZLYKZIYliQGkcRmJNGPJJokUSeJOkm03myEVqvVarVuE7F/H7PHC96Yf5CFh+7l+9dfY8/MExx77GkuPPUiu0FTM9x9+lGKxy5x531HuXntKmuTY3hxnldWFmm1Wj9/Rmi9o9lmWLbZCttsxDb92KbJNk226bHNbrHNsGwziG02Y5t+bNNkmzrb1NmmxzY7xTbDss1W2GYjtunHNk22qbNNnW12g222wzaD2GYztmmyTT+2qbNNnW16bLNTbNP14XvuYuGhe6keOcpv3XMXf/HUixRnV5ldrnjyuevU2WYrbLMR29SNHhhHUzOM/t6/pXjsEl0/evLrVNNH8OI8r6ws0mObOtvsBttsh20Gsc1GbNOPbZps02SbOtv02Gan2GZYthnENpuxTT+2abJNnW3qbNN6sxFardZt5cKFC5w8eZLNZCZFUXA7yEyKouCtykyKoqD1zhP79zF7vGDlE4dZmT5M18mvPUNxdpXZ5Yp8+TV22uiBcTQ1w/jcRQ7OLdH1oye/TjV9BC/O88rKIq1W62dnhNY7miSGJYmtkMRGJNGPJJok0SSJHknsFkkMSxKDSGIzkug5ceIECwtSvyyFAAAgAElEQVQLdEmiSRIRQVVVdEmiThI9ktgpktiKiKCqKroksRWSaIoIqqpCEv1IokkSdZKok8RukMR2SGIQSWxGEk2S6EcSdZKok0SPJHaKJDYS+/cxe7ygeuQoK9OH6Tp27ml+88vPMrtckS+/xmYksRFJ9COJutED42hqhvG5ixycW6Jr77//P6imj+DFeV5ZWUQSu0ES2yGJQSSxEUn0I4kmSTRJok4SPZLYKZIYliQGkcRmJNGPJJokUSeJOkm03myEVqvVarV+AcX+fcweL6geOcrK9GG6irOrFGdXmV2u2A2jB8bR1Azjcxc5OLdE14+e/DrV9BG8OM8rK4u0Wq2dN0LrHc02w7LNVthmI7bpxzZNtmmyTY9tdotthmWbQWyzGdv0Y5sm29TZps42PbbZKbYZlm22wjYbsU0/tmmyTZ1t6myzG2yzHbYZxDabsU2TbfqxTZ1t6mzTY5udYpth/fIbrzJ7vOCN+QdZmT5M156ZJyjOrjK7XNFjm43Yph/bNNmmzjajB8bR1Azjcxf5J588T9ePnvw6a5Nj3Dz33+HFed5uttkO2wxim43Yph/bNNmmyTZ1tumxzU6xzbBsM4htNmObfmzTZJs629TZpvVmI7RardvKhQsXOHnyJJvJTIqi4HaQmRRFwVuVmRRFQas1SOzfx+zxgjfmH2ThoXv5/vXX2DPzBMcee5rZ5YrdMHpgHE3NMD53keKxS4zcc5ib166yNjlGNX0EL87TarXePiO03tEkMSxJbIUkNiKJfiTRJIkmSfRIYrdIYliSGEQSm5FEz4kTJ1hYWKBLEk2SiAiqqqJLEnWS6JHETpHEVkQEVVXRJYmtkERTRFBVFZLoRxJNkqiTRJ0kdoMktkMSg0hiM5JokkQ/kqiTRJ0keiSxUyQxLEn08+F77mLhoXupHjnKb91zF3/79yMUZ1eZXa648NSL1EmiH0k0SaJOEnWS6Bk9MM4d/+q/4e7TjzKxtM57T/85XWuTY1TTR/DiPDevXWU7JLEdkhhEEhuRRD+SaJJEkyTqJNEjiZ0iiWFJYhBJbEYS/UiiSRJ1kqiTROvNRmi1Wq1W6x0u9u9j9njByicOszJ9mK6/eOpFirOrzC5XPPncdXbLnfcdRVMzTCytc3Buia7nz0xSTR/Bi/PcuLJKq9UazgitdzTbDMs2W2GbjdimH9s02abJNj222S22GZZtBrHNZmzTj22abFNnmzrb9Nhmp9hmWLbZCttsxDb92KbJNnW2qbPNbrDNdthmENtsxjZNtunHNnW2qbNNj212im2GZZutsE3s38fs8YKVTxxmZfowXSe/9gzF2VVmlyuefO46dbZpsk2dbepssxWjB8bR1AzFuUscnFuiy4vzrE2OcfXMR/HiPDevXWUjttkO2wxim43Yph/bNNmmyTZ1tumxzU6xzbBsM4htNmObfmzTZJs629TZpvVmI7RardvKhQsXOHnyJJvJTIqi4HaQmRRFwVuVmRRFQav1dor9+5g9XlA9cpS/+tg9dJ382jMUZ1eZXa7Il19jt4weGEdTM4zPXaR47BLv+fC/oav6xBGq6SN4cZ4bV1ZptVpvNkLrHU0Sw5LEVkhiI5LoRxJNkmiSRI8kdoskhiWJQSSxGUn0nDhxgoWFBbok0SSJiKCqKrokUSeJHknsFElsRURQVRVdktgKSTRFBFVVIYl+JNEkiTpJ1EliN0hiOyQxiCQ2I4kmSfQjiTpJ1EmiRxI7RRLDksRWSGIjvxHvZfZ4QfXIUVamD9N17NzT/OaXn2V2uSJffo0eSdRJok4Sb8XogXHefWwKTc0wsbTOwbklurw4z9rkGNX0Ebw4zz/5wbNshyQGkcRGJNGPJJok0SSJOkn0SGKnSGJYkhhEEpuRRD+SaJJEnSTqJNF6sxFarVar1WoNJfbvY/Z4QfXIUVamD9NVnF2lOLvK7HJFvvwau2n0wDiammF87iITS+scnFuiy4vzrE2OUU0fwYvz3LiySqv1TjRC6x3NNsOyzVbYZiO26cc2TbZpsk2PbXaLbYZlm0Fssxnb9GObJtvU2abONj222Sm2GZZttsI2G7FNP7Zpsk2dbepssxtssx22GcQ2m7FNk236sU2dbeps02ObnWKbYdlmK2yzEdv088tvvMrs8YI35h9kZfowXcXZVYqzq8wuV+TLr2GbOtvspNED42hqhjs/+b8wsbTOe0//OV1enGdtcoxq+ghenMeL89y4skqTbQaxzUZs049tmmzTZJs62/TYZqfYZli2GcQ2m7FNP7Zpsk2dbeps03qzEVqt1m3lwoULnDx5ks1kJkVRcDvITIqi4K3KTIqioNX6WYr9+5g9XvDDzzzAyvRhuoqzqzzwxb9ldrkiX36Nn4U77zuKpmYYn7vIxNI6B+eW6PHiPGuTY1TTR/DiPF6c58aVVVqtXyQjtN7RJDEsSWyFJDYiiX4k0SSJJkn0SGK3SGJYkhhEEpuRRM+JEydYWFigSxJNkogIqqqiSxJ1kuiRxE6RxFZEBFVV0SWJrZBEU0RQVRWS6EcSTZKok0SdJHaDJLZDEoNIYjOSaJJEP5Kok0SdJHoksVMkMSxJbIUkNiKJfiTRJInYv4/Z4wVvzD/I33zyCF3F2VWKs6t88d+9Qr78GjtNEv2MHhhHUzNoaobxuYsUj13i4NwS/79vXWBtcoxq+gg/+NKn8OI8r6wscuPKKj2S2Igk+pFEkySaJFEniR5J7BRJDEsSg0hiM5LoRxJNkqiTRJ0kWm82QqvVarVarR0V+/cxe7zgjfkHWZk+TFdxdpXi7CqzyxXPv3KLn6XRA+OMHhhHUzNoaobxuYtMLK1zcG6JO+87SteNK6t4cZ61yTGq6SNU00f4wZc+hRfn8eI8N66scvPaVVqtn0cjtN7RbDMs22yFbTZim35s02SbJtv02Ga32GZYthnENpuxTT+2abJNnW3qbNNjm51im2HZZitssxHb9GObJtvU2abONrvBNtthm0FssxnbNNmmH9vU2abONj222Sm2GZZttsI2G7FNP7Zpsk2dbXpi/z7+4DffzRvzD7IyfZiu3/tf1ynOrjK7XPHkc9d5u9hmO2zTNXpgnHcfm0JTM9x9+lHG5y4ysbTOwbkl9v7eZ7nzvqP0eHGe589MsjY5xtrkGNX0Ea6e+Sg/+NKn8OI8XpzHi/O8srLIjSur3Liyys1rV7FNk23qbNNjm51im2HZZhDbbMY2/dimyTZ1tqmzTevNRmi1WreVCxcucPLkSTaTmRRFwe0gMymKgrcqMymKglbrdhL79zF7vOA7v99hZfowXSe/9gzF2VVmlyuefO46P49GD4xz531HefexKTQ1g6ZmGJ+7SHHuEhNL6+h//N85OLeEpma4876j1N24sooX5/HiPM+fmcSn7mdtcoy1yTGq6SNU00fw//AvuXrmo1w981GunvkoPv/f84MvfYoffOlTeHEeL87jxXm8OI8X53llZZFXVhZ5ZWWRV1YWeWVlkRtXVrlxZZUbV1a5cWWVG1dWuXFllRtXVrlxZZUbV1a5ee0qN69d5ea1q9y8dpWb165y89pVbl67ys1rV7l57So3r13l5rWr3Lx2lZvXrnLz2lVuXrvKzWtXuXntKq3bwwitoayvr/PjH/+Yfl5//XWeffZZfvzjH7OR119/nWeffZYf//jH/DyQxLAksRWS2Igk+pFEkySaJNEjid0iiWFJYhBJbEYSPSdOnGBhYYEuSTRJIiKoqoouSdRJokcSO0USWxERVFVFlyS2QhJNEUFVVUiiH0k0SaJOEnWS2A2S2A5JDCKJzUiiSRL9SKJOEnWS6JHETpHEsCSxFZLYiCT6kUSTJOokUSeJpti/j9njBdUjR1mZPkzX3HJFcXaVY489zexyxbAksR2SGEQSG9E/vY/RA+Pced9R3n1sCk3NoKkZNDXD3acfZXzuIuNzFynOXWJiaZ2JpXUmltY5OLfEwbklirN/haZm0NQMmprh7n/+X3HnfUcZPTCOJJpuXFnlxpVVblxZ5caVVW5cWcWL83hxHi/O48V5vDiPF+fx4jxenMeL8zx/ZpLnz0zy/JlJnj8zyT984RTPn5nk+TOTPH9mkufPTPL8mUmePzPJ82cmef7MJM+fmeT5M5M8f2aS589M4lP3szY5xtrkGGuTY6xNjrE2Ocba5Bhrk2OsTY7hU/ezNjnG2uQYa5NjrE2OsTY5xtrkGGuTY/jU/axNjrE2Ocba5Bhrk2OsTY7hU/ezNjnG2uQYa5NjrE2O4VP3szY5xtrkGGuTY/jU/axNjrE2Ocba5Bg+dT9rk2OsTY4x4/+N1n8wQmvLbPO5z32O5557jqbHH3+c06dP8/nPf55Pf/rTfOELX+DGjRvUPf7445w+fZrPf/7zfPrTn+YLX/gCN27coNVqtVqtuti/j9njBSufOMzK9GF+65676Noz8wTF2VVmlyuefO46v2hGD4wzemCc0QPj3HnfUe687yh33neUdx+b4t3HptDUDJqaQVMzaGoGTc2gqRnuPv0od59+lLtPP8rdpx/l7tOPMj53kfG5i4zPXWR87iLjcxcZn7vI+NxFxucuMj53keLcJYpzlyjOXaI4d4ni3CWKc5cozl2iOHeJ4twlinOXKM5dojh3ieLcJYpzlyjOXaI4d4ni3CUmltaZWFpnYmmdiaV1JpbWmVhaZ2JpnYmldSaW1plYWmdiaZ2JpXUmltaZWFpnYmmdiaV1JpbWmVhaZ2JpnYmldSaW1plYWmdiaZ2JpXUmltaZWFpnYmmdiaV1JpbWmVhaZ2JpnYmldSaW1plYWmdiaZ2JpXUmltaZWFpnYmmdef1rWv/BCK0tefHFF/nc5z7HP/zDP9D01FNP8Y1vfIOPfexjfPnLX+Yzn/kML7zwAl/5ylfoeeqpp/jGN77Bxz72Mb785S/zmc98hhdeeIGvfOUr/CzZZli22QrbbMQ2/dimyTZNtumxzW6xzbBsM4htNmObfmzTZJs629TZpsc2O8U2w7LNVthmI7bpxzZNtqmzTZ1tdoNttsM2g9hmM7Zpsk0/tqmzTZ1temyzU2wzLNtshW02Ypt+bNNkmzrb1Nlmq2L/PmaPF8weL3hj/kFWpg/TdfJrz1CcXWV2uWJ2uaIf22yHbQaxzUZs049tmmzTZJs62/TYZqfYZli2GcQ2m7FNP7Zpsk2dbeps03qzEVqbunXrFn/913/NH/3RH/Erv/Ir9PP4449z//3388EPfpA9e/bwvve9j4985COUZclLL71E1+OPP87999/PBz/4Qfbs2cP73vc+PvKRj1CWJS+99BKt1lZduHCBkydPspnMpCgKbgeZSVEUvFWZSVEUtFq/6GL/PmaPF1SPHGVl+jBd37/+GntmnqA4u8rscsWTz12n1Wr9oxFam/rJT37Ct771LX7nd36HT37ykzTdvHmTF154gQceeIC6D3zgA3Q988wz3Lx5kxdeeIEHHniAug984AN0PfPMM/ysSGJYktgKSWxEEv1IokkSTZLokcRukcSwJDGIJDYjiZ4TJ06wsLBAlySaJBERVFVFlyTqJNEjiZ0iia2ICKqqoksSWyGJpoigqiok0Y8kmiRRJ4k6SewGSWyHJAaRxGYk0SSJfiRRJ4k6SfRIYqdIYliS2ApJbEQS/UiiSRJ1kqiTxNsh9u9j9njBwkP38sb8g6xMH6Zrbrliz8wT/OaXn2V2ueLJ564zDEkMIomNSKIfSTRJokkSdZLokcROkcSwJDGIJDYjiX4k0SSJOknUSaL1ZiO0NvVLv/RL/Omf/in/4l/8C/r53ve+R9d73vMe6vbu3cvo6ChXr17le9/7Hl3vec97qNu7dy+jo6NcvXqVVqvVarXeqti/j9njBSufOMwb8w+yMn2Yrrnlij0zT1CcXWV2ueLCUy/Sar2TjNDa1N69e3nXu97FRl5//XW69u7dS9Mdd9zBrVu3eP311+nau3cvTXfccQe3bt1iK06dOsWpU6c4deoUp06d4qtf/SqZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmZVmSmWQmmUlmkplkJplJZpKZZCaZSWZSliWZSWaSmWQmmUlmkplkJplJWZZkJplJZpKZZCaZSVmWZCaZSWaSmWQmZVmSmWQmmUlmUpYlmUlmkplkJmVZkplkJmVZkplkJpnJN7/5TTKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMpCxLMpPMJDPJTDKTzCQzyUwyk8wkM8lMyrIkM8lMMpPMJDPJTDKTzKQsSzKTzCQzyUwyk8wkMynLkswkM8lMMpPMpCxLMpPMJDPJTMqyJDPJTDKTsizJTDKTzKQsSzKTzKQsSzKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMpCxLMpPMJDPJTDKTzCQzyUwyk8wkM8lMyrIkM8lMMpPMJDPJTDKTzCQzKcuSzCQzyUwyk8wkMynLkswkM8lMMpPMpCxLMpPMJDPJTMqyJDPJTDKTsizJTDKTzKQsSzKTzCQz+eY3v0lmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWZSliWZSWaSmWQmmUlmkplkJplJZpKZZCaZSVmWZCaZSWaSmWQmmUlmkpmUZUlmkplkJplJZpKZZCZlWZKZZCaZSWZSliWZSWaSmWQmmUlZlmQmmUlmUpYlmUlmkpmUZUlmkpmUZUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmZRlSWaSmWQmmUlmkplkJplJZpKZZCaZSVmWZCaZSWaSmWQmmUlmkplkJmVZkplkJplJZpKZZCZlWZKZZCaZSWaSmZRlSWaSmWQmmUlZlmQmmUlmUpYlmUlmkpmUZUlmkplkJt/85jfJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMrn//GU78J3tY+O39VH/wH/PVf32AH/3933P+OxV7Zp5gfO7/5J9/fpU//HrJ1/6vZ8hMMpOyLMlMMpPMJDPJTDKTzCQzKcuSzCQzyUwyk8wkMynLkswkM8lMMpPMpCxLMpPMJDPJTMqyJDPJTDKTzKQsSzKTzCQzKcuSzCQzKcuSzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDMpy5LMJDPJTDKTzCQzyUwyk8wkM8lMMpOyLMlMMpPMJDPJTDKTzCQzKcuSzCQzyUwyk8wkM8lMyrIkM8lMMpPMJDMpy5LMJDPJTDKTsizJTDKTzKQsSzKTr371q5w6dYpTp05x6tQpTp06ResfjdDi1q1bvPrqq7z66qu8+uqrvPrqq/w8On/+POfPn+f8+fOcP3+ej3/840QEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBF0Oh0igoggIogIIoKIICKICCKCiCAiiAg6nQ4RQUQQEUQEEUFEEBFEBBFBp9MhIogIIoKIICKICDqdDhFBRBARRAQRQafTISKICCKCiKDT6RARRAQRQUTQ6XSICCKCTqdDRBARRATf/e53iQgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCTqdDRBARRAQRQUQQEUQEEUFEEBFEBBFBp9MhIogIIoKIICKICCKCiKDT6RARRAQRQUQQEUQEEUGn0yEiiAiefPJJ5ubmiAg6nQ4RQUQQEUQEnU6HrmPHjhERdDodIoKIICLodDpEBBFBp9MhIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAg6nQ4RQUQQEUQEEUFEEBFEBBFB17Fjx4gIOp0OEUFEEBFEBBFBRBARRAQRQafTISKICCKCiKDr2LFjdDodIoKIICKICCKCTqdDRBARRAQRQafTISKICCKCTqdDRBARRASdToeIICKICL773e8SEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARdDodIoKIICKICCKCiCAiiAgigoggIogIIoJOp0NEEBFEBBFBRBARRAQRQafTISKICCKCiCAiiAgigk6nQ0QQEUQEEUGn0yEiiAgigoggIuh0OkQEEUFE0Ol0iAgigoig0+kQEUQEnU6HiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICLodDpEBBFBRBARRAQRQUQQEUQEEUFEEBF0Oh0igoggIogIIoKIICKICCKCTqdDRBARRAQRQUQQEXQ6HSKCiCAiiAgigk6nQ0QQEUQEEUGn0yEiiAgigk6nQ0QQEUQEnU6HiCAiiAi++93vEhFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEXQ6HSKCiCAi+C9+45/y5//mP+P/fvgob8w/yHf+4D/n1H9Z8J5f+RXO/z//QPHF/5djf7nOf/vEDS48+wZP/t0vkT99DxFBRBARRAQRQafTISKICCKCiCAiiAg6nQ4RQUQQEUQEEUGn0yEiiAgigoig0+kQEUQEEUFE0Ol0iAgigoig0+kQEUQEnU6HiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICLodDpEBBFBRBARRAQRQUQQEUQEEUFEEBF0Oh0igoggIogIIoKIICKICDqdDhFBRBARRAQRQUQQEXQ6HSKCiCAiiAgigk6nQ0QQEUQEEUGn0yEiiAgigk6nQ0Tw8Y9/nPPnz/PHf/zHnD9/nvPnz9P6RyO0uHTpEg8//DAPP/wwDz/8MA8//DA/+clP2IrR0VG6bt26RdNPf/pT9u7dy+joKF23bt2i6ac//Sl79+7lZ0USw5LEVkhiI5LoRxJNkmiSRI8kdoskhiWJQSSxGUn0nDhxgoWFBbok0SSJiKCqKrokUSeJHknsFElsRURQVRVdktgKSTRFBFVVIYl+JNEkiTpJ1EliN0hiOyQxiCQ2I4kmSfQjiTpJ1EmiRxI7RRLDksRWSGIjkuhHEk2SqJNEnSR2gyQ2E/v3ceKf/RqzxwtWPnGYN+YfZGX6MH/6X/+ndH37ub/n5NeeYc/MExRnVzn22NPMLlfMLlf8+78fIV9+jX4k0Y/+P/bgB9jv+q7z/ZNTQlOq0eRzBwyS8f27uSZ2mArFxFCEkeCtZ8z9fsVpMWXR3EnsjC/C9iDtce70pdPLybgd1Lmn0hRp364Y/DMsRuhWv1+3k90pwVnNpX8otpar0EtPdmnpn9mP7OKSthKbO79xztzf/Hryjxpc6/fxKIVppRSmlVKYVEphWSmFc6WUwtkqpXA6pRROpZTCSkopTCulMKmUwqRSCoNvNMOA7/u+72Pv3r3s3buXvXv3snfvXlatWsWZ2LhxI2MvvPACk44fP86LL75IRLBx40bGXnjhBSYdP36cF198kYjgH0vXdZytrus4E13XcTJd17GSruuY1nUd07quY1nXdbxcuq7jbHVdx+l0XcepdF3HSrquY1rXdUzquo5JXdexrOs6zpWu6zhbXddxJrqu42S6rmMlXdcxres6JnVdx6Su63g5dF3HS9F1HafTdR2n0nUd07quYyVd1zGp6zomdV3Hsq7rOFe6ruNsdV3Hmei6jpPpuo6VdF3HtK7rmNR1HZO6ruPl0HUdZyvWreZv/p8/ZWF2xIGbXsPSL17NicXrObz3Su6YHbHs5vceYvv7PsF58w8zetcRtt/zCfY88JcsHFpi4dAS933sCzzy9HMc/euvsqzrOqZ1Xce0ruuY1HUdy7qu41zpuo6z1XUdp9N1HafSdR0r6bqOaV3XManrOiZ1XcfgG80woJTCFVdcwRVXXMEVV1zBFVdcwczMDGfi/PPPZ8OGDTz++ONMeuyxxxjbtGkT559/Phs2bODxxx9n0mOPPcbYpk2b+MfS9z1nq+97zkTf95xM3/espO97pvV9z7S+71nW9z0vl77vOVt933M6fd9zKn3fs5K+75nW9z2T+r5nUt/3LOv7nnOl73vOVt/3nIm+7zmZvu9ZSd/3TOv7nkl93zOp73teDn3f81L0fc/p9H3PqfR9z7S+71lJ3/dM6vueSX3fs6zve86Vvu85W33fcyb6vudk+r5nJX3fM63veyb1fc+kvu95OfR9z0vR9z3TYt1qrtu4loXZEQuzI9qvHGbpF6/mxOL1HN57JXfMjvjhjd/JWN93/MnT/5V9h5bY/r5PcN78w5w3/zA/9TCM3nWE7fd8gu33fII9D/wl+/79EguHllg4tMR9H/sC933sC/zGhz7KI08/xyNPP8cjTz/Hv/njwxz9668y1vc950rf95ytvu85nb7vOZW+71lJ3/dM6/ueSX3fM6nvewbfaIbBN212dpZPfvKTfPjDH+bEiRMcPXqUD3zgA1x++eVcfPHFjM3OzvLJT36SD3/4w5w4cYKjR4/ygQ98gMsvv5yLL76Y09m0aROSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhiTFJSEISkpCEJCQhCUlIQhKSGJOEJCQhCUlIQhKSkMSYJCQhCUlIQhJjkpCEJCQhiTFJSEISkhiThCQkIYkxSUhiTBKSkMSYJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISY5KQhCQkIQlJSEISkpCEJCQxJglJSEISkpCEJCQxJglJSEISkpCEJMYkIYnt27ezefNmJDEmCUlIQhJjN998M2vWrEESY5KQhCTGJCGJMUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJMYkIQlJSEISkpCEJCRx8803s2bNGiQxJglJSEISkpCEJCQhiTFJSEISkrj55ptZs2YNY5KQhCQkIYkxSUhCEpIYk4QkJDEmCUlIYkwSkpDEmCQkIQlJSEISkpCEJCQhCUlIQhKSkJDED1YAACAASURBVIQkJCEJSUhiTBKSkIQkJCEJSUhCEpKQhCQkMSYJSUhCEpKQhCQkMSYJSUhCEpKQhCTGJCEJSUhiTBKSkIQkJDEmCUlIYkwSkpDEmCQkMSYJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkMSYJCQhCUlIQhKSkIQkJCEJSYxJQhKSkIQkJCEJSUhiTBKSkIQkJCGJMUlIQhKSkMSYJCQhCUmMSUISkhiThCQkMSYJSUhiTBKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQxJglJSEISkpCEJCQhCUlIQhKSGJOEJCQhCUlIQhKSGJOEJO70z/FvfvUd/N+/ucAXPvDL/MDfPsEFh+9i0yeTH/3Pv83P/vff52f/++/TfOUwP/qff5tv+/S/5ds+/W85+h//kLG+7+j7jjt/999x5+/+Ox674DJufu8hbn7vIW5+7yH6V23n+3/pP3De/MP8xre9mfPmH+a8+Yc5b/5h1rytY83bOta8rWPN2zrWvK1jzds6Lrn9AS65/QEuuf0BLrn9AS65/QEuuf0BLrn9AS65/QE233Yvm2+7l8233cvm2+5l82338sgrf5DNt93L5tvuZfNt97L5tnvZfNu9bL7tXjbfdi+bb7uXzbfdy+bb7mXzbfeyZW4/j11wGVvm9rNlbj9b5vazZW4/W+b2s2VuP1vm9rNlbj+PXXAZW+b2s2VuP1vm9rNlbj9b5vazZW4/W+b289gFl7Flbj9b5vazZW4/W+b2s2VuP49dcBlb5vazZW4/W+b2s2VuP49dcBlb5vazZW4/W+b289gFl7Flbj9b5vazZW4/j11wGVvm9rNlbj+PXXAZg783w+CbtnXrVm644QYeeughbrnlFu68804uvfRSdu/ezbKtW7dyww038NBDD3HLLbdw5513cumll7J7927OxPz8PJlJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmcvjwYZ588kkyk8wkM8lMMpPMJDO5//77ef7558lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTO6//36ef/55MpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTO6//36ef/55MpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTO5//7vJTLp7fonunl/i8K+/g4+/9zY+/t7b+Ph7b+PJ/W/hyf1v4dm7buLZu27i2btu4tm7buL5X2t5/tdaTixez4nF6zmxeD0nFq/nxOL1fOqdb+BT73wDn3rnG/jUO9/Ap975Bj71zjdw/9ws98/Ncv/cLPfPzXL/3Cz3z81y/9ws98/N4l078K4deNcOvGsH3rUD79qBd+3Au3bgXTvwrh141w68awfetQPv2oF37cC7duBdO2ialqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpamaWmalqZpaZqWpmlpmpbB35thcMZe/epXk5lcccUVTNuxYwf33HMPmUlmMjc3x4UXXsikHTt2cM8995CZZCZzc3NceOGFDAaDwWAweGli3Wpi3Wpi3Wpi3Wpi3Wpi3Wqu27iW6zau5bqNa7lu41qu27iW6zau5bqNa7lu41p2b13P7q3r2b11Pbu3rmf31vXs3rqe3VvXs3vrenZvXc/urevZvXU9u7euZ/fW9ezeup7dW9eze+t6dm9dz8LsiIXZEQuzIxZmRyzMjliYHbEwO2JhdsTC7IiF2RELsyMWZkcszI5YmB2xMDtiYXbEwuyIhdkRC7MjFmZHLMyOWJgdsTA7YmF2xMLsiIXZEQuzIxZmRyzMjliYHbEwO2JhdsTC7IiF2RELsyMWZkcszI5YmB2xMDtiYXbEwuyIwd+bYTAYDAaDwWAw+BY2w2AwGAwGg8Fg8C1shsFgMBgMBoPB4FvYDIPBYDAYDAaDwbewGQaDwWAwGAwGg29hMwwGg8FgMBgMBt/CZhgMBoPBYDAYDL6FzTAYDAaDwWAwGHwLm2EwGAwGg8FgMPgWNsPgjBw/fpwnn3ySL37xi3yzvv71r/Pkk0/yN3/zNwwGg8FgMBgMzq0ZBqf0ta99jd/6rd9ibm6Od7/73dxxxx3Y5sknn2TsM5/5DJKQhCQkIQlJSOI3f/M3mfShD32It771rbz73e/m53/+59m/fz/Hjh1jMBgMBoPBYHBuzDA4pd/7vd/jU5/6FLfccgvvf//7+eVf/mUuvvhifv3Xf51aKxdffDF79uxhz5497Nmzhz179rBnzx5+8Ad/kLHXvva1LPvYxz7GBz/4QX7qp36K97///fzCL/wCn//85/md3/kdBoPBYDAYDAbnxgyDkzp+/Dgf//jHmZ2d5fLLL+e8885j7dq1vOUtb+FrX/sajz32GGvWrOGqq67iqquu4qqrruKqq65i8+bNfPrTn2b79u1s27aNZR/60Id47Wtfyw/90A9x3nnn8T3f8z288Y1v5PHHH+dLX/oSg8FgMBgMBoN/eDMMTupv//Zvectb3sJVV13FpFe/+tWMHTt2jJX87u/+Lq961at405vexLIXX3yRz3/+81x++eVM+oEf+AHG/vIv/5JTWVxcRBKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhicXFRQZ/b4bBSV144YVs2bKFtWvXMumRRx5h7LLLLmPapz/9aZ544gl+8id/klWrVrHsM5/5DGPf8R3fwaTzzz+fVatW8cwzz3AqTz31FNOuueYabGMb29jGNraxjW1sYxvb2MY2trGNbcZsYxvb2MY2trGNbWxjG9vYZsw2trGNbWxjG9vYxjZjtrGNbWxjG9uM2cY2trGNbcZsYxvb2GbMNraxjW3GbGObMdvYxjZjtrGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvbjNnGNraxjW1sYxvb2MY2trHNmG1sYxvb2MY2trHNmG1sYxvb2MY2thmzjW1sYxvbjNnGNraxzZhtbGObMdvYxjZjtrHNmG1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNmO2sY1tbGMb29jGNraxjW1sM2Yb29jGNraxjW1sY5sx29jGNraxjW3GbGMb29jGNmO2sY1tbDNmG9vYZsw2trHNmG1sY5sx29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sc2YbWxjG9vYxja2sY1tbGMb29hmzDa2sY1tbGMb29hmzDa2sY1tbGMb24zZxja2sc2YbWxjG9vYZsw2trHNmG1sY5sx29hmzDa2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjmzHb2MY2trGNbWxjG9vYxja2GbONbWxjG9vYxja2sc2YbWxjG9vYxjZjtrGNbWxjmzHb2MY2thmzjW1sM2Yb29hmzDa2sc2YbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2GbMNraxjW1sYxvb2MY2trGNbWwzZhvb2MY2trGNbWwzZhvb2MY2trHNmG1sYxvb2GbMNraxjW3GbGMb29hmzDa2sc2YbWwzZhvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxzZhtbGMb29jGNraxjW1sYxvbjNnGNraxjW1sYxvbjNnGNraxjW1sY5sx29jGNraxzZhtbGMb24zZxja2GbPNNddcw7SnnnqKwd+bYXBWlpaW+MM//ENe97rX8b3f+71M++AHP8iGDRt43etex6Svf/3rjJ1//vlMe8UrXsHx48c5mRe//AzzteMdM3/OO2b+nHfM/DnvmPlzrjlyNyd+5c284sA8rzgwzysOzPOKA/Os7u9idX8Xq/u7WN3fxbd/9CG+/aMP8e0ffYhv/+hDrFv6KOuWPsq6pY/yI6PCRS88y0UvPMt3X/gKvvvCVxARRAQRQUQQEUQEEUFE0DQNEUFEEBFEBBFBRBARRAQRQdM0RAQRQUQQEUQEEUHTNEQEEUFEEBFEBE3TEBFEBBFBRNA0DRFBRBARRARN0xARRARN0xARRAQRwVhEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQETRNQ0QQEUQEEUFEEBFEBBFBRBARRAQRQdM0RAQRQUQQEUQEEUFEEBE0TUNEEBFEBBFBRBARRARN0xARRASPPPII+/btIyJomoaIICKICCKCpmkY2759OxFB0zREBBFBRNA0DRFBRNA0DRFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFE0DQNEUFEEBFEBBFBRBARRAQRwdj27duJCJqmISKICCKCiCAiiAgigoggImiahoggIogIIoKx7du30zQNEUFEEBFEBBFB0zREBBFBRBARNE1DRBARRARN0xARRAQRQdM0RAQRQUQwFhFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQETRNQ0QQEUQEEUFEEBFEBBFBRBARRAQRQUTQNA0RQUQQEUQEEUFEEBFEBE3TEBFEBBFBRBARRAQRQdM0RAQRQUQQETRNQ0QQEUQEEUFE0DQNEUFEEBE0TUNEEBFEBE3TEBFEBE3TEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQETdMQEUQEEUFEEBFEBBFBRBARRAQRQUTQNA0RQUQQEUQEEUFEEBFEBBFB0zREBBFBRBARRAQRQdM0RAQRQUQQEUQETdMQEUQEEUFE0DQNEUFEEBE0TUNEEBFEBE3TEBFEBBHBWEQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRNA0DRFBRBARRAQRQUQQEUQEEUFEEBFEBBFB0zREBBFBRBARRAQRQUQQETRNQ0QQEUQEEUFEEBE0TUNEEBFEBBFBRNA0DRFBRBARRARN0xARRAQRQUTQNA0RQUQQETRNQ0QQETRNQ0QQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARNE1DRBARRAQRQUQQEUQEEUFEEBFEBBFB0zREBBFBRBARRAQRQUQQETRNQ0QQEUQEEUFEEBFEBE3TEBFEBBFBRBARNE1DRBARRAQRQdM0RAQRQUTQNA0Rwa5du8hMmqYhM8lMBv+/GQZn7DOf+Qzvec97+O7v/m727NnDtM9+9rM888wz/MiP/Aj/kFZdtIEtG5JrL3g7117wdq694O1ce8HbufaCt3PtBW/nxv9yPTf+l+v5+a/v4Oe/voNf/fx6fvXz6zn4lREHvzLikaef45Gnn+PoX3+VsWNPHOHYE0c49sQRXv+VJ6kHF6kHF/ncHTfyuTtu5KkbL+GpGy9hae82lvZuY2nvNp654008c8eb+OLdt3P1V56iHlykHlzk+cMHOfbEEY49cYQXv/wMk9q25WTatmUlbdsyrW1bprVty7K2bXm5tG3L2WrbltNp25ZTaduWZbt37+bAgQOMtW3LtLZtiQiWlpYYa9uWSW3bsqxtW86Vtm05ExHB0tISY23bcibatmVaRLC0tETbtqykbVumtW3LpLZtmdS2LS+Htm15Kdq25XTatuVU2rZlWtu2rKRtWya1bcuktm1Z1rYt50rbtpyttm05E23bcjJt27KStm2Z1rYtk9q2ZVLbtrwc2rblpWjbltNp25aTaduWlbRty7S2bZnWti2T2rZlWdu2nCtt23K22rbldNq25VTatmUlbdsyrW1bJrVty6S2bRl8oxkGZ+TRRx/lrrvuYuPGjfzcz/0cr3zlK5n26KOP8spXvpJt27YxbdWqVYwdP36caX/3d3/H+eefz6n8i2M9n3vPm/nce97M597zZj73njfzp3fcwJ/ecQO//0tv4VfefjM/9uM7+LEf38Ga63ay5rqdPL7hR3l8w49y93e8kbu/443cWLfzP33kdaxf+nFe/9928vr/tpP//eJf5P98zb/i3qv/L377Jx7gT37mgzz7K09wwW98lkv3Pcil+x7k0n0PUnbOU3bOc+FlV1NrZdmxJ45QDy5SDy7yuTtu5KkbL+GpGy9hae82lvZu45k73sQX776denCRenCR5w8f5NgTR6j/7xOspNbKtFor02qtLKu18nKptXK2aq2cTq2VU6m1spJaK9NqrUyqtTKp1sqyWivnSq2Vs1Vr5UzUWjmZWisrqbUyrdbKpFork2qtvBxqrbwUtVZOp9bKqdRamVZrZSW1VibVWplUa2VZrZVzpdbK2aq1ciZqrZxMrZWV1FqZVmtlUq2VSbVWXg61Vl6KWiunU2vlZGqtrKTWyrRaK9NqrUyqtbKs1sq5UmvlbNVaOZ1aK6dSa2UltVam1VqZVGtlUq2VwTeaYXBaf/zHf8yBAwd4/etfz9zcHK985StZyeOPP873f//3MzMzw7SNGzcy9sILLzDp+PHjvPjii0QEZyvWrSbWrSbWrea6jWvZvXU9u7euZ2F2xMLsiAM3vYYDN72Gw7deyeFbr2TpF6/mxOL1nFi8nsN7r+Tw3iv5P679Ln5443ey7E+e/q/sO7TE9vd9ggt+5TNs+tfPsOlfP8O//Iu1/Orn1vPuv93KX/zAz/A3/+u/pOyc57veehcb9j3Ehn0PMXrfR9j04LNsevBZLt33IGvmf4uyc54LL7uaZceeOEI9uMjziz/DUzdewtLebSzt3cYX776denCRenCRY08c4dgTR3iprrnmGgaDc+Gaa65hMDgXrrnmGgaDwbkzw+CUHnnkEf7oj/6In/iJn+Cnf/qnOZkvf/nLPP/887z2ta9lJeeffz4bNmzg8ccfZ9Jjjz3G2KZNm3g5xbrVxLrV/NhrL2H31vUszI5YmB1x4KbXcPjWK1n6xas5sXg9h/deyYGbXsMPb/xOlt398ecZvesI580/zOhdR9h+zydYOLTEwqElHnn6OcZWXbSB8r9cxoWXXc2a7TspO+cpO+f5rrfexYZ9DzF630fY9OCzXLrvQS7d9yAXXnY1Y6UU6sFFvnT323jqxktY2ruNY/t/lnpwkXpwkWNPHGGslMKyUgqTrr32Ws6VUgpnq5TC6ZRSOJVSCsvuu+8+9uzZw1gphWmlFI4ePcpoNGKslMKkUgrLSimcK6UUzsTRo0cZjUaMlVI4E6UUph09epTRaEQphZWUUphWSmFSKYVJpRQmXXvttZwLpRReilIKp1NK4VRKKUwrpbCSUgqTSilMKqWwrJTCuVJK4WyVUjgTpRROppTCSkopTCulMKmUwqRSCpOuvfZazoVSCi9FKYXTKaVwMqUUVlJKYVophWmlFCaVUlhWSuFcKaVwtkopnE4phVMppbCSUgrTSilMKqUwqZTC4BvNMDip5557jj/4gz9g/fr1rF27lkcffZRHH32URx99lEcffZTPfvazLHvmmWcYW7duHSczOzvLJz/5ST784Q9z4sQJjh49ygc+8AEuv/xyLr74Yv5HFOtWc93Gtezeup6F2RELsyMO33olJxav58Ti9RzeeyV3zI4Y+0/PfZV9h5Y4b/5hRu86wvZ7PsHCoSUeefo5TmbVRRtYddEG1mzfSdk5T9k5z4Z9DzF630fY9OCzXLrvQcrOeZbVg4s8deMlLO3dxtLebdSDi9SDixx74gj/XOzevZsDBw5wKhHB0tIS/xREBEtLS3yzIoKlpSUGg8FgMJg2w+Ck/uqv/orjx4/zhS98gQMHDnDgwAEOHDjAgQMHOHDgAH/2Z3/GsmPHjjE2Go04ma1bt3LDDTfw0EMPccstt3DnnXdy6aWXsnv3bv6x1Fo5W7VWlsW61Vy3cS0LsyMO3PQaDt96JScWr+fw3itp/ucLGNt3aInz5h9m9K4jbL/nEywcWuJDf/EsK6m1MmnVRRv4yndtpuycp+ycZ8O+h9j04LO86rbk4rf+GmO1VurBRZ668RKW9m7j7/79vdSDixx74gj/0GqtnK1aK6dTa+VUaq2spNbKtFork2qtTKq1sqzWyrlSa+Vs1Vo5E7VWTqbWykpqrUyrtTKp1sqkWisvh1orL0WtldOptXIqtVam1VpZSa2VSbVWJtVaWVZr5VyptXK2aq2ciVorJ1NrZSW1VqbVWplUa2VSrZWXQ62Vl6LWyunUWjmZWisrqbUyrdbKtFork2qtLKu1cq7UWjlbtVZOp9bKqdRaWUmtlWm1VibVWplUa2XwjWYYnNTrX/96MpPMJDPJTDKTzCQz2bVrF8uuvfZaMpPzzz+fU9mxYwf33HMPmUlmMjc3x4UXXsi3mli3mt1b17MwO+LwrVdyYvF6Du+9kjtmR4z96n/8IufNP8zoXUdYOLTEI08/x9lYddEGLrzsasrOecrOeTbse4hNDz7LpfseZNmX7n4bS3u38cwdb6IeXOTYE0cYDAaDwWDwz88Mg3/WSimcrVIKZ6KUwqRYt5rrNq5lYXbE4Vuv5MTi9RzeeyVj+w4tcd78w2x5/5MsHFrikaefY1kphWmlFJaVUli26qINvOJH30LZOc/ofR/h0n0PUnbOM1YPLvLUjZewtHcb9eAix544wtkqpXC2SimcTimFUymlsOy+++5jz549jJVSmFZK4ejRo4xGI8ZKKUwqpbCslMK5UkrhTBw9epTRaMRYKYUzUUph2tGjRxmNRpRSWEkphWmlFCaVUphUSuHlUErhpSilcDqlFE6llMK0UgorKaUwqZTCpFIKy0opnCulFM5WKYUzUUrhZEoprKSUwrRSCpNKKUwqpfByKKXwUpRSOJ1SCidTSmElpRSmlVKYVkphUimFZaUUzpVSCmerlMLplFI4lVIKKymlMK2UwqRSCpNKKQy+0QyDwT+iWLeahdkRh2+9khOL13N475WM7Tu0xOhdR9h+zydYOLTES7Xqog1ceNnVlJ3zbNj3EKN7PsLFb/01xr5099tY2ruNL959O/XgIv9U7N69mwMHDnAqEcHS0hL/FEQES0tLfLMigqWlJQaDwWAwmDbD4J+1Witnq9bKmai1cjK1Vlby7SdeYGF2xOFbr+Tw3iv54Y1rqbVy3vzDjN51hIVDS4zVWllWa+VMrbpoAxdedjVl5zyj932ES/c9yKqLNjD21I2XsLR3G/XgIi9++RlWUmvlbNVaOZ1aK6dSa2UltVam1VqZVGtlUq2VZbVWzpVaKKnE4wAAIABJREFUK2er1sqZqLVyMrVWVlJrZVqtlUm1VibVWnk51Fp5KWqtnE6tlVOptTKt1spKaq1MqrUyqdbKslor50qtlbNVa+VM1Fo5mVorK6m1Mq3WyqRaK5Nqrbwcaq28FLVWTqfWysnUWllJrZVptVam1VqZVGtlWa2Vc6XWytmqtXI6tVZOpdbKSmqtTKu1MqnWyqRaK4NvNMNg8D+oWLeahdkRC7MjTixez4GbXsPYefMPc/l7P83CoSW+Wasu2kDZOU/ZOc+mB5/l0n0PMrZ06zaW9m6jHlzkxS8/w2AwGAwGg3+6Zhj8s1ZK4WyVUjgTpRROppTCSkopTCulMHbdxrUszI44sXg9/+p/28R/eu6rjN51hPd+/HmO/vVX+Yew6qINlJ3zbHrwWS7d9yBjS7duY2nvNurBRUopnK1SCqdTSuFUSiksu++++9izZw9jpRSmlVI4evQoo9GIsVIKk0opLCulcK6UUjgTR48eZTQaMVZK4UyUUph29OhRRqMRpRRWUkphWimFSaUUJpVSeDmUUngpSimcTimFUyml/H/swX+w3QV97vu3WymYWjLhUSCYjM+SSuXE4w+qN5h6b01vK1OnnnqVZrhTnWYPf8RQqDronFrbSZiWuZ32oOjQ4P6nO706vRbhtNLRDrbnEKc1DRZhpINCFdZHEyXgPKSwNIrm6p19O2v6nW/W2mutDXtXwvf1ok0So0iiSRJNkhiSxGqRxKwkMQ1JjCOJUSTRJokmSTRJYi1IYiUkMYkkxpHEKJJok0SbJJokMSSJ1SKJWUliEkksRxKjSKJNEk2SaJJE52RzdDpPQztfs5HFyy7k9t0XsWT7jXfRu/Yge2/r81Q57ezNaMfVXHDzN9l0zc0s+ZdLz6O/eyu56Tr+o+zcuZPFxUWWY5t+v8/TgW36/T5Plm36/T6dTqfT6bTN0XlGS8KskjCNJIyThFGS0JaEtiQs8VlncNWrz6T//m3cvvsivnbse/yvf/Z19t7W56l02tmb0Y6r0cI/ox1X84NHDtPfvZXcdB0/eOQwy0nCJElYThJGSUJbEpqS0JSEoSSsliTMKgnTSMI4SRglCW1JaEpCUxLWQhJWIgmTJGE5SWhLwihJaEpCUxKGkrBakjCrJEwjCeMkYZQktCWhKQlNSVgLSViJJEyShHGSMEoS2pLQloSmJAwlYbUkYVZJmCQJy0nCKEloS0JTEpqS0DnZHJ3OKcJnncHiZRfy//wf57HkWVf/T/be1qce/R5PpTO37+DcK69n0zU3s6R/xVb6u7fy+O030el0Op1O58fPHJ1nNEnMShLTkMQ4khhFEm2SaJPEkCSaNp35HPZe0qP//m0s6V17kO377qIe/R5PliSGTjt7M9pxNRfc/E3OufKDPHbgL+jv3kpuuo4mSUwiieVIYmj//v3Mz8+zRBJtkqgqer0eSyTRJIkhSawWSUyjquj1eiyRxDQk0VZV9Ho9JDGKJNok0SSJJkmsBUmshCQmkcRyJNEmiVEk0SSJJkkMSWK1SGJWkpiGJMaRxCiSaJNEkySaJLEWJLESkphEEuNIYhRJtEmiTRJNkhiSxGqRxKwkMYkkliOJUSTRJokmSTRJonOyOTqdU5TPOoO9l/T40XW/wM+fv4HetQfZvu8u6tHv8VRbt2Ubm6+5hU3X3MySf7n0PHLTdfzgkcM81Xbu3Mni4iLLsU2/3+fpwDb9fp8nyzb9fp9Op9PpdNrm6DyjJWFWSZhGEsZJwihJaEtCWxKGkjDJ3kt6/Oi6X+Dnz99A79qD7L2tz0okYTmnnb0Z7bia3r47WNK/YitHb3gXP3jkMMtJwnKSMEoS2pLQlISmJAwlYbUkYVZJmEYSxknCKEloS0JTEpqSsBaSsBJJmCQJy0lCWxJGSUJTEpqSMJSE1ZKEWSVhGkkYJwmjJKEtCU1JaErCWkjCSiRhkiSMk4RRktCWhLYkNCVhKAmrJQmzSsIkSVhOEkZJQlsSmpLQlITOyebodJ5B9l7S40fX/QJLnnX1/2TvbX1Ww2lnb0Y7ruaCm7/JaWdvpn/FVvq7t3L83oN0Op1Op9NZW3N0ntEkMStJTEMS40hiFEm0SaJNEkOSmNXeS3r037+Nrx37Hr1rD7L3tj7TkMSstONqLrj5m5y5fQcP3/Bu+ru3cvzegzRJYjmSGNq/fz/z8/MskUSbJKqKXq/HEkk0SWJIEqtFEtOoKnq9HkskMQ1JtFUVvV4PSYwiiTZJNEmiSRJrQRIrIYlJJLEcSbRJYhRJNEmiSRJDklgtkpiVJKYhiXEkMYok2iTRJIkmSawFSayEJCaRxDiSGEUSbZJok0STJIYksVokMStJTCKJ5UhiFEm0SaJJEk2S6Jxsjk7nGcpnncHiZRdy++6L+OwDx+hde5B69HusFu24mt6Nd3Dm9h0c2XMph/e8lR88cphZ7dy5k8XFRZZjm36/z9OBbfr9Pk+Wbfr9Pp1Op9PptM3ReUZLwqySMI0kjJOEUZLQloS2JAwl4cnwWWdw+xUX8Ruv3kjv2oPsva3POEmYVRKatONqLrj5m6zbso3+FVs5vOet5Kv3spwkjJKEtiQ0JaEpCUNJWC1JmFUSppGEcZIwShLaktCUhKYkrIUkrEQSJknCcpLQloRRktCUhKYkDCVhtSRhVkmYRhLGScIoSWhLQlMSmpKwFpKwEkmYJAnjJGGUJLQloS0JTUkYSsJqScKskjBJEpaThFGS0JaEpiQ0JaFzsjk6nc7/b+8lPfrv38ZnHzhG79qDHHjgGKtJO67mgpu/ybot28hv/xK56To6nU6n0+k89eboPKNJYlaSmIYkxpHEKJJok0SbJIYk8VTxWWdw+xUXsXjZhWzfdzd7b+vTJIlZSWI52nE1vX13sKS/eyu56TraJDG0f/9+5ufnWSKJNklUFb1ejyWSaJLEkCRWiySmUVX0ej2WSGIakmirKnq9HpIYRRJtkmiSRJMk1oIkVkISk0hiOZJok8QokmiSRJMkhiSxWiQxK0lMQxLjSGIUSbRJokkSTZJYC5JYCUlMIolxJDGKJNok0SaJJkkMSWK1SGJWkphEEsuRxCiSaJNEkySaJNE52RydTuckrz9/A/33b+OzDxyjd+1BDjxwjNV02tmb0Y6r2XTNzRy/9yCH97yV4/ceZJSdO3eyuLjIcmzT7/d5OrBNv9/nybJNv9+n0+l0Op22OTrPaEmYVRKmkYRxkjBKEtqS0JaEoSSsBp91BrdfcRF73tBj+7672XtbnyTMKgmTJGHJaWdvZvM1t6AdV/PwDe/m8J63siQJoyShLQlNSWhKwlASVksSZpWEaSRhnCSMkoS2JDQloSkJayEJK5GESZKwnCS0JWGUJDQloSkJQ0lYLUmYVRKmkYRxkjBKEtqS0JSEpiSshSSsRBImScI4SRglCW1JaEtCUxKGkrBakjCrJEyShOUkYZQktCWhKQlNSeicbI5Op7Osna/ZSP/92/jsA8d44/77WAvrtmyjd+MdrNuyjf7ureSm6+h0Op1Op7Myc3Se0SQxK0lMQxLjSGIUSbRJok0SQ5JYbT7rDG6/4iJ++WXn0bv2IAceOMa0JDGJJEbRjqvZdM3NPPfo/fR3b+X4vQfZv38/8/PzLJFEmySqil6vxxJJNEliSBKrRRLTqCp6vR5LJDENSbRVFb1eD0mMIok2STRJokkSa0ESKyGJSSSxHEm0SWIUSTRJokkSQ5JYLZKYlSSmIYlxJDGKJNok0SSJJkmsBUmshCQmkcQ4khhFEm2SaJNEkySGJLFaJDErSUwiieVIYhRJtEmiSRJNkuicbI5OpzO1vZf0WLzsQrbvu5u9t/VZC6edvZnN19yCdlzNkT2X8qZ1YXFxkeXYpt/v83Rgm36/z5Nlm36/T6fT6XQ6bXN0ntGSMKskTCMJ4yRhlCS0JaEtCUNJWCtJeP35G+i/fxuffeAY2/fdxSRJmCQJy0nCmdt30Nt3B8fvPUh/91aO33uQJLQloSkJTUkYSsJqScKskjCNJIyThFGS0JaEpiQ0JWEtJGElkjBJEpaThLYkjJKEpiQ0JWEoCaslCbNKwjSSME4SRklCWxKaktCUhLWQhJVIwiRJGCcJoyShLQltSWhKwlASVksSZpWESZKwnCSMkoS2JDQloSkJnZPN0el0ZuazzuD2Ky7i58/fQO/agxx44Bhr4bSzN7P5mlvQjqs5sudSctN1dDqdTqfTWd4cnWc0ScxKEtOQxDiSGEUSbZJok8SQJNaKJJr2XtJj8bIL2b7vbg48cIxRJDGJJJYjiaH9+/fzzv/7b+jtu4PnHr2f/u6t/OCRwwxJoqro9XoskUSTJIYksVokMY2qotfrsUQS05BEW1XR6/WQxCiSaJNEkySaJLEWJLESkphEEsuRRJskRpFEkySaJDEkidUiiVlJYhqSGEcSo0iiTRJNkmiSxFqQxEpIYhJJjCOJUSTRJok2STRJYkgSq0USs5LEJJJYjiRGkUSbJJok0SSJzsnm6HQ6T8rrz99A//3bmP/4l9l7W5/VtnPnThYXFznt7M1svuYWtONq+ldsJTddx5Bt+v0+Twe26ff7PFm26ff7dDqdTqfTNkfnGS0Js0rCNJIwThJGSUJbEtqSMJSEtZKEUXzWGdy++yI++8Axtu+7i6YkTJKE5SRhlCScuX0HvX13cPzegxze81aS0JSEpiQMJWG1JGFWSZhGEsZJwihJaEtCUxKakrAWkrASSZgkCctJQlsSRklCUxKakjCUhNWShFklYRpJGCcJoyShLQlNSWhKwlpIwkokYZIkjJOEUZLQloS2JDQlYSgJqyUJs0rCJElYThJGSUJbEpqS0JSEzsnm6HQ6TwmfdQa3X3ERPuu59K49SD36PdbKaWdvZvM1t7Buyzby27/E8XsP0ul0Op1O59/M0XlGk8SsJDENSYwjiVEk0SaJNkkMSWKtSGKSxcsuZM8bemy/8S4OPHAMSUwiieVIYmj//v3Mz8+zRBJN2nE1m951A0f2XMpV/+mnWCKJJkkMSWK1SGIaVUWv12OJJKYhibaqotfrIYlRJNEmiSZJNEliLUhiJSQxiSSWI4k2SYwiiSZJNEliSBKrRRKzksQ0JDGOJEaRRJskmiTRJIm1IImVkMQkkhhHEqNIok0SbZJoksSQJFaLJGYliUkksRxJjCKJNkk0SaJJEp2TzdHpdJ5yO1+zkcXLLmT7vrs58MAxnko7d+5kcXGRcdZt2caz/utfsPUFp3P0hnfx4842/X6fJ8s2/X6fTqfT6XTa5uhM5cSJE9x///0cPXqUcU6cOMH999/P0aNHebpIwqySMI0kjJOEUZLQloS2JAwlYa0kYVqvP38D/fdvY/u+u9l7W5/lJGE5SRglCW1JOO0Fm/m9r/8US/q7t/KDRw4zlIShJKyWJMwqCdNIwjhJGCUJbUloSkJTEtZCElYiCZMkYTlJaEvCKEloSkJTEoaSsFqSMKskTCMJ4yRhlCS0JaEpCU1JWAtJWIkkTJKEcZIwShLaktCWhKYkDCVhtSRhVkmYJAnLScIoSWhLQlMSmpLQOdkcp6iHH36Yr371q3zpS1/iwQcfJAkr8cQTT/Cnf/qnXHXVVXzgAx9gz549vO997+P+++9n6IknnuBP//RPueqqq/jABz7Anj17eN/73sf9999P22/91m+xa9cudu3axa5du9i1axe7du3iy1/+Mp1Tj886gy9etYXPPnCM+Y9/mbV27pXXc+Zbfosjey7l+L0H6XQ6nU7nmWiOU8gdd9zBBRdcwLOe9SzOPfdcXvKSl7BlyxbOP/98nv/85/O85z2Pt7zlLTz88MNM62Mf+xj33HMP73jHO/jIRz7CH/7hH3LOOefwJ3/yJyRhycc+9jHuuece3vGOd/CRj3yEP/zDP+Scc87hT/7kT0jC0GOPPcYTTzzBL/7iLzI/P8/8/Dzz8/PMz89z3nnn8R9BErOSxDQkMY4kRpFEmyTaJDEkibUiiVm93Odw+xUXUY9+l+377mIUSSxHEkP79+9nfn6eJZJok0STfunXOefKD3Jkz6XkpuuQxJAkVoskplFV9Ho9lkhiGpJoqyp6vR6SGEUSbZJokkSTJNaCJFZCEpNIYjmSaJPEKJJokkSTJIYksVokMStJTEMS40hiFEm0SaJJEk2SWAuSWAlJTCKJcSQxiiTaJNEmiSZJDElitUhiVpKYRBLLkcQokmiTRJMkmiTROdkcp4DPfvaznHXWWVx88cV85zvf4U1vehN33303999/Pw888AD3338/f/3Xf82LX/xiPvOZz3DuueeydetWHn/8cZZz4sQJ7rzzTi655BJe8YpX8KxnPYsNGzZw+eWX88QTT/CFL3yBEydOcOedd3LJJZfwile8gmc961ls2LCByy+/nCeeeIIvfOELDPX7fZa84Q1v4OKLL+biiy/m4osv5uKLL2b9+vV0Tm23X3ERS7bvu4snY+fOnSwuLjKLdVu20dt3B8fvPcjRG97FjxPb9Pt9nizb9Pt9Op1Op9Npm+Np7s1vfjOvf/3refe7381jjz3GN77xDW699VZe+cpXcsEFF/DiF7+YCy64gF/5lV/hnnvu4dvf/jZVxdzcHOvXr+cjH/kI43z/+9/n8ssv5+KLL6bpJ3/yJ1ly/Phxvv/973P55Zdz8cUX0/STP/mTLDl+/DhDR44c4bnPfS7r16/nx0USZpWEaSRhnCSMkoS2JLQlYSgJayUJs0rC0O1XXMTPn7+B3rUHqUe/x1ASlpOEUZLQloSmJCw57ezNbL7mFh7/2r9weM9bWZKE1ZKEWSVhGkkYJwmjJKEtCU1JaErCWkjCSiRhkiQsJwltSRglCU1JaErCUBJWSxJmlYRpJGGcJIyShLYkNCWhKQlrIQkrkYRJkjBOEkZJQlsS2pLQlIShJKyWJMwqCZMkYTlJGCUJbUloSkJTEjonm+Np7Nvf/ja2+dGPfsTv/d7vceaZZzKNF73oRfzjP/4jjzzyCJ/+9KcZZ926dbz61a9mw4YNNB04cIAlW7ZsYd26dbz61a9mw4YNNB04cIAlW7ZsYegb3/gGz3/+8/ngBz/I7t272b17N9dddx0PP/wwnWeOvZf02POGHttvvIsDDxxjrem3P8q6Ldvo797K8XsP0ul0Op3OqW6Op7HnPe95XH/99azUC17wAm699VZm0e/3+eQnP8mrXvUqXvKSlzBKv9/nk5/8JK961at4yUtewlC/3+fo0aP8zM/8DL/5m7/J2972Nr71rW/xx3/8x/zrv/4rk+zatYtdu3axa9cudu3axUc/+lGqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqBoMBVUVVUVVUFVVFVVFVVBVVRVVRVVQVg8GAqqKqqCqqiqqiqqgqqoqqYjAYUFVUFVVFVVFVVBWDwYCqoqqoKqqKqmIwGFBVVBVVRVUxGAyoKqqKqqKqGAwGVBVVxWAwoKqoKqqKI0eOUFVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVg8GAqqKqqCqqiqqiqqgqqoqqoqqoKqqKwWBAVVFVVBVVxetf8AT/1+s3sH3f3Xz8c19mMBhQVVQVVUVVUVVUFVXFYDCgqqgq/tt/+2/82q/9GlXFYDCgqqgqqoqqYjAYcOTIEU6cOEFVMRgMqCqqiqpiMBgw+F/eyo8u/a9898O7ePB//HeqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKqqKwWBAVVFVVBVVRVVRVVQVVUVV8Q//8A9s3ryZqmIwGFBVVBVVRVVRVVQVVUVVUVUMBgOqiqqiqqgq/uEf/oHNmzczGAyoKqqKqqKqqCoGgwFVRVVRVVQVg8GAqqKqqCoGgwFVRVVRVQwGA6qKqqKqOHLkCFVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVcVgMKCqqCqqiqqiqqgqqoqqoqqoKqqKqqKqGAwGVBVVRVVRVVQVVUVVUVUMBgOqiqqiqqgqqoqqoqoYDAZUFVVFVVFVDAYDqoqqoqqoKqqKwWBAVVFVVBWDwYCqoqqoKgaDAVVFVTEYDKgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqisFgQFVRVVQVVUVVUVVUFVVFVVFVVBVVxWAwoKqoKqqKqqKqqCqqiqqiqhgMBlQVVUVVUVVUFVXFYDCgqqgqqoqqoqoYDAZUFVVFVVFVDAYDqoqqoqoYDAZUFVVFVTEYDKgqqoqq4siRI1QVVUVVUVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBWDwYCqoqqoKqqKqqKqqCqqiqqiqqgqqoqqYjAYUFVUFVVFVVFVVBVVRVUxGAyoKqqKqqKqqCqqisFgQFVRVVQVVUVVMRgMqCqqiqqiqhgMBlQVVUVVUVUMBgOqiqqiqhgMBlQVVcVgMKCqqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKgaDAVVFVVFVVBVVRVVRVVQVVUVVUVVUFYPBgKqiqqgqqoqqoqqoKqqKwWBAVVFVVBVVRVVRVVQVg8GAqqKqqCqqiqpiMBhQVVQVVUVVMRgMqCqqiqpiMBhQVXz0ox9l165d/M7v/A67du1i165ddP7dHJ2pfeUrX+FDH/oQL3zhC5mfn2eUr3zlK3zoQx/ihS98IfPz8zRddtllvPe97+WNb3wjL3vZy/i5n/s53vWudzEYDPi7v/s7JllYWGBhYYGFhQUWFhZ4+9vfjm1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29hm06ZN2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jmsp+7kNuveBX/539/iPp/12Mb29jGNraxjW1sYxvbvOc97+ETn/gEtrGNbWxjG9vYZtOmTTznOc/BNraxjW1sYxvbvPh/fwubrrmZEzdeyVn9z2Mb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxzete9zoOHz6MbWxjG9vYxja2sY1tbGMb29jGNraxzete9zoOHz6MbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2ttm0aRO2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb22zatAnb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sY5u3v/3tLCwssLCwwMLCAgsLC3T+3RydqRw6dIjrr7+e888/n3e+852cfvrptB06dIjrr7+e888/n3e+852cfvrpNL3yla/kRS96EU3nnnsu5513Hg8//DD/EZIwqyRMIwnjJGGUJLQloS0JQ0lYK0mYVRLGef35G+i/fxvb993N/n96iHGSMEoS2pLQlISmJAx999yfobfvDnLTdeSm63gqJWFWSZhGEsZJwihJaEtCUxKakrAWkrASSZgkCctJQlsSRklCUxKakjCUhNWShFklYRpJGCcJoyShLQlNSWhKwlpIwkokYZIkjJOEUZLQloS2JDQlYSgJqyUJs0rCJElYThJGSUJbEpqS0JSEzsnmOIXcd999bNy4kY0bN7Jx40Y2btzIxo0b2bhxIxs3bmTjxo1s3ryZl770pVxzzTVM61Of+hSLi4u89rWv5aqrruL000+n7VOf+hSLi4u89rWv5aqrruL000+n6Tvf+Q733nsvjz32GKM8+9nPpvPM5LPO4ItXbeHP/ukh5j/+ZdbaaWdvZtM1N3P83oMc3vNWOp1Op9M51cxxilm/fj1Hjx7lscceY/369WzYsIG5uTmOHj3K0aNH+eEPf8gjjzzC3r17edGLXsQkBw4c4NZbb+XNb34zb3vb2xjlwIED3Hrrrbz5zW/mbW97G6MMBgM+/OEP8/d///c0JeHo0aNs3ryZ/wiSmJUkpiGJcSQxiiTaJNEmiSFJrBVJzEoSk7zc57B42X+iHv0u2/fdRZskhvbv38/8/DxLJNEmiSZJNEliSBJLTjt7M5uvuYUlh/e8laeCJKZRVfR6PZZIYhqSaKsqer0ekhhFEm2SaJJEkyTWgiRWQhKTSGI5kmiTxCiSaJJEkySGJLFaJDErSUxDEuNIYhRJtEmiSRJNklgLklgJSUwiiXEkMYok2iTRJokmSQxJYrVIYlaSmEQSy5HEKJJok0STJJok0TnZHKeQl770pXz1q1/ld3/3dzl+/Dj33XcfX/rSl/jGN77BkSNHWPJHf/RHPProo3z+85/n61//Ovv27WOcY8eO8YlPfIKNGzeyYcMGDh06xKFDhzh06BCHDh3iwQcf5NixY3ziE59g48aNbNgs8I3rAAAgAElEQVSwgUOHDnHo0CEOHTrEoUOHePDBB1ly7rnn8vKXv5y//du/5Z577mHJQw89xI033sj69evZvn07nWc2n3UGt19xEUu277uLcXbu3Mni4iKrYfM1t3DaCzbT372VtWKbfr/Pk2Wbfr9Pp9PpdDptc5xCPvGJT/C85z2P3//936fthS98ITfeeCNXXXUVS17zmtfwile8ghtuuIFx7rvvPk6cOMFDDz3E4uIii4uLLC4usri4yOLiIp/73Oe47777OHHiBA899BCLi4ssLi6yuLjI4uIii4uLfO5zn2Nofn6el7/85dx4443s2rWLvXv3cvrpp/Oe97yHdevW8R8hCbNKwjSSME4SRklCWxLakjCUhLWShFklYZIkDN1+xUX4rOfSu/YgQ0kYJQltSWhKQlMShpLQdu6V13Pm9h30d2/l+L0HWakkzCoJ00jCOEkYJQltSWhKQlMS1kISViIJkyRhOUloS8IoSWhKQlMShpKwWpIwqyRMIwnjJGGUJLQloSkJTUlYC0lYiSRMkoRxkjBKEtqS0JaEpiQMJWG1JGFWSZgkCctJwihJaEtCUxKaktA52RynkBtuuIH169czzute9zoef/xxhtavX893v/tdxnnta1/LwsICCwsLLCwssLCwwMLCAgsLCywsLPD2t7+d1772tSwsLLCwsMDCwgILCwssLCywsLDAwsICb3/72xlat24dl19+OTfeeCMLCwssLCzw3ve+l+c///l0Ok2Ll13Ib7x6I71rD3LggWOsNe24Gu24modveDfH7z1Ip9PpdDpPZ3OcQj7wgQ/w9a9/nYceeohRLr/8cl7wghcw9NBDD/FTP/VTPJNJYlaSmIYkxpHEKJJok0SbJIYksVYkMStJTCKJtr2X9Fi87ELmP/5l/vlf5xjav38/8/PzLJFEmySaJNEkiSFJjHPm9h2cc+UHObLnUo7fe5BZSWIaVUWv12OJJKYhibaqotfrIYlRJNEmiSZJNEliLUhiJSQxiSSWI4k2SYwiiSZJNEliSBKrRRKzksQ0JDGOJEaRRJskmiTRJIm1IImVkMQkkhhHEqNIok0SbZJoksSQJFaLJGYliUkksRxJjCKJNkk0SaJJEp2TzXEK+dmf/VlOP/10zjvvPD784Q/zta99jW984xt86Utf4oILLuDzn/88H/7wh1nyxje+ka985St86EMfotP5cfX68zeweNmFbN93NwceOMaSnTt3sri4yFpYt2Ubm665mSN7LuX4vQdZDbbp9/s8Wbbp9/t0Op1Op9M2xynm8ccf58ILL+Sd73wnttm0aRNbtmzhwQcf5MYbb+TXfu3XSMLf/M3fsHPnTrZv384zWRJmlYRpJGGcJIyShLYktCVhKAlrJQmzSsIkSRjn9edv4M53/Azb993N3tv6NCWhLQlNSWhKwlASJlm3ZRu9fXdwZM+lPH77TUwrCbNKwjSSME4SRklCWxKaktCUhLWQhJVIwiRJWE4S2pIwShKaktCUhKEkrJYkzCoJ00jCOEkYJQltSWhKQlMS1kISViIJkyRhnCSMkoS2JLQloSkJQ0lYLUmYVRImScJykjBKEtqS0JSEpiR0TjbHKeYnfuIn+NKXvsQjjzzCF7/4Re68806+8pWvcOLECd7xjnewRBI/+MEPWFxcpNN5OvBZZ9B//zY++8Ax5j/+ZdbaaWdvprfvDh478BccveFddDqdTqfzdDLHKUoSknj+85/PT//0T/Ptb3+bpuc85zl0QBKzksQ0JDGOJEaRRJsk2iQxJIm1IolZSWISSSxHEj7rDG6/4iLq0e+yfd9dLJFEmySaJNEkiSFJTOu0szdz7m9ezw++dZijN7yLSSQxjaqi1+uxRBLTkERbVdHr9ZDEKJJok0STJJoksRYksRKSmEQSy5FEmyRGkUSTJJokMSSJ1SKJWUliGpIYRxKjSKJNEk2SaJLEWpDESkhiEkmMI4lRJNEmiTZJNEliSBKrRRKzksQkkliOJEaRRJskmiTRJInOyeY4BV166aU8+9nPZtOmTfzCL/wCSzZt2sSv//qv0+k83f3Guns4cOtf0Lv2IGvttLM3s/maW/jBtw5zeM9beSrYpt/v82TZpt/v0+l0Op1O2xynmFe+8pXccsst/Oqv/ioXX3wxQ9u2bePP//zPmZ+fp/PvkjCrJEwjCeMkYZQktCWhLQlDSVgrSZhVEiZJwnKS0LRz4yPseUOP3rUHOfDAMZqS0JSEpiQMJWElNl9zC0sO73kr4yRhVkmYRhLGScIoSWhLQlMSmpKwFpKwEkmYJAnLSUJbEkZJQlMSmpIwlITVkoRZJWEaSRgnCaMkoS0JTUloSsJaSMJKJGGSJIyThFGS0JaEtiQ0JWEoCaslCbNKwiRJWE4SRklCWxKaktCUhM7J5jiFfPWrX+WLX/wi//zP/8xf/dVf0fTpT3+aP/iDP2D//v388Ic/pNN5utv5mo3s+y9m+7672f9PD7HWNl9zC6e9YDP93VvpdDqdTufH2RynkA984ANs2rSJl73sZYxyxRVXsORb3/oWnX8jiVlJYhqSGEcSo0iiTRJtkhiSxFqRxKwkMYkkliOJUX75P59H//3b+LN/eoj5j3+ZJZJokkSTJIYk8WSce+X1aMfV9Hdv5fi9B2mSxDSqil6vxxJJTEMSbVVFr9dDEqNIok0STZJoksRakMRKSGISSSxHEm2SGEUSTZJoksSQJFaLJGYliWlIYhxJjCKJNkk0SaJJEmtBEishiUkkMY4kRpFEmyTaJNEkiSFJrBZJzEoSk0hiOZIYRRJtkmiSRJMkOieb4xQyNzfHD3/4Q8b54Q9/yJLnPOc5dDqnCp91BrdfcRH16HfZvu8u1tqZ23dwzpUf5OEb3s3xew8yK9v0+32eLNv0+306nU6n02mb4xTyrne9i29+85t87nOfY5Qrr7yS008/HUl0/k0SZpWEaSRhnCSMkoS2JLQlYSgJayUJs0rCJElYThJGScLQ7VdcxM+fv4HetQc58MC/MpSEpiQMJeGpsG7LNs658oMc2XMpx+89yJIkzCoJ00jCOEkYJQltSWhKQlMS1kISViIJkyRhOUloS8IoSWhKQlMShpKwWpIwqyRMIwnjJGGUJLQloSkJTUlYC0lYiSRMkoRxkjBKEtqS0JaEpiQMJWG1JGFWSZgkCctJwihJaEtCUxKaktA52RynkJ/+6Z/mZ3/2Z3nd617HW97yFoY+85nP0Ov1+PjHP86ePXvodE5Vey/pse+/mPlPP0pt/N9YS+u2bGPTNTdzZM+lPH77TXQ6nU6n8+NijlPMnXfeyZve9Cb+8i//kkOHDvHggw9yySWXUFVcd911vO9976Pz7yQxK0lMQxLjSGIUSbRJok0SQ5JYK5KYlSQmkcRyJDGKJNp++T+fx+2/fh5seiXb992FJJokMSSJp9K6Ldvo7buD3HQd/I/9TKOq6PV6LJH+P/bgB8jvu77v/JO1hIVi9MF+TWS50eL3z/JQGRXD2FA3m+SwnF51l4NjinUKU8YD7mRqbLSpvxFJSJyZ/SqRyEAjcBNXRmlnoGHSoTqUMEwSaloq+266h4YE4+MUo4DYt7MylmW/LFs/szaR/9zsML/h269/+094lyK+j4dYDEm0ZSa9Xg9JDCOJNkk0SaJJEitBEudCEguRxHwk0SaJYSTRJIkmSQxIYrlIYqkksRiSmIskhpFEmySaJNEkiZUgiXMhiYVIYi6SGEYSbZJok0STJAYksVwksVSSWIgk5iOJYSTRJokmSTRJovNSI5yHPve5z/HMM89w/PhxHnzwQTKTF198kV/5lV+h0/lxEJesIb78+8Qlr6K3d5J7j59mpaxeP8rG3Z9h5ugkJ++6nYVEBFNTU/ygIoKpqSk6nU6n02kb4Ty1Zs0arrjiCjZv3szll19OZzjbLJVtFsM2c7HNMLZps02bbQZss1Jss1S2WYht5mObYWzTZpuBT7zrKnZeu46t+++nvmeKWbYZsM1yWL1+lLW//IecfWya6YkbWSzbLIZt5mKbYWzTZpsm2zTZZiXY5lzYZiG2mY9t2mwzjG2abNNkmwHbLBfbLJVtFsM2c7HNMLZps02TbZpssxJscy5ssxDbzMU2w9imzTZttmmyzYBtlottlso2C7HNfGwzjG3abNNkmybbdF5qhB9x1113HZs3b2bz5s1s3ryZzZs3s3nzZjZv3szmzZvZvHkzmzdvZvPmzWzevJnXv/71dDo/Tt77lsuYumOM+46fZuv+r7CSRncfYvVPjjI9cSOdTqfT6fywjPAj7vHHH8c2trGNbY4dO8axY8d45pln+O53v0u/3+fYsWMcO3aM5557js73SWKpJLEYkpiLJIaRRJsk2iQxIImVIomlksRCJDEfSQwjiTZJNEkiLlnD4duu4a2bLubNHz/GvcdPM0sSy0USszbsvJO1W8aYuvU6Zo5O0paZ9Ho9ZkliMSTRlpn0ej0kMYwk2iTRJIkmSawESZwLSSxEEvORRJskhpFEkySaJDEgieUiiaWSxGJIYi6SGEYSbZJokkSTJFaCJM6FJBYiiblIYhhJtEmiTRJNkhiQxHKRxFJJYiGSmI8khpFEmySaJNEkic5LjfAj7vjx4zz22GM89thjPPbYY6xatYr3v//9PP/88zz00ENMTU3x8MMP0+/3ufjii/npn/5pOp0fV/W2Hp9411Vs3X8/9T1TrBTt2MWlOz/Go3dVzBydpCkimJqa4gcVEUxNTdHpdDqdTtsI55GvfvWrPPPMM9x1112MjIzQdNFFF/HAAw/wR3/0Rzz77LN0vsc2S2WbxbDNXGwzjG3abNNmmwHbrBTbLJVtFmKb+dhmGNu02abJNk1veM0LTN0xxkOnn6W3d5J7j59mOdimae2WMS7d+TFOTGxn5ugkw9hmMWwzF9sMY5s22zTZpsk2K8E258I2C7HNfGzTZpthbNNkmybbDNhmudhmqWyzGLaZi22GsU2bbZps02SblWCbc2GbhdhmLrYZxjZttmmzTZNtBmyzXGyzVLZZiG3mY5thbNNmmybbNNmm81IjnEd27dpFKYW5XHTRRcx66qmn6HR+nMUla/jEu65i//8ebN1/P/U9U6yEtVvG6O0/wqN3VfjgPjqdTqfTWQkjnEc+9KEP8bd/+7c8+uijDPN7v/d7zLr00kvpfI8klkoSiyGJuUhiGEm0SaJNEgOSWCmSWCpJLEQS85HEMJJok0STJJokMfC/vuHvMXXHGLN6eye59/hpXi6SGGb1+lE27v4MM0cnmZ64kcyk1+sxSxKLIYm2zKTX6yGJYSTRJokmSTRJYiVI4lxIYiGSmI8k2iQxjCSaJNEkiQFJLBdJLJUkFkMSc5HEMJJok0STJJoksRIkcS4ksRBJzEUSw0iiTRJtkmiSxIAklosklkoSC5HEfCQxjCTaJNEkiSZJdF5qhPPIddddx4UXXsiGDRvYvXs33/rWt5ienuav//qv+Zmf+Rk+9KEP8Vu/9Vt0Op3vi0vWUG/r8Yl3XcXNn36Qrfu/wnJbvX6U0d2HmHXBJ3YxNTXFDyoimJqaotPpdDqdthHOM2fOnOGqq66irms2bdrEa1/7WrZs2cLk5CR1XfM7v/M7dL7PNktlm8WwzVxsM4xt2mzTZpsB26wU2yyVbRZim/nYZhjbtNmmyTZNthmwzcD1my5m6o4x3rrpYnp7J6nvmeIHYZuFjO4+xNotY0zdeh0zRyexzWLYZi62GcY2bbZpsk2TbVaCbc6FbRZim/nYps02w9imyTZNthmwzXKxzVLZZjFsMxfbDGObNts02abJNivBNufCNguxzVxsM4xt2mzTZpsm2wzYZrnYZqlssxDbzMc2w9imzTZNtmmyTeelRjjPvPKVr+Sv//qvefzxxzl69Cj3338/3/jGN3jxxReZmJig0+nMr97W4/Ct13Df8dP09k5y7/HTLCft2MWlOz/GiYntzBydpNPpdDqdl9sI5ylJvP71r+dNb3oTV155JXN55JFH+HEmiaWSxGJIYi6SGEYSbZJok8SAJFaKJJZKEguRxHwkMYwk2iTRJIkmSQxIYpi4ZA2Hb7uGT7zrKrbuv5+t+79CPvEsSyGJxchMtrzt3fT2H+GZ378FH9zHQiTRlpn0ej0kMYwk2iTRJIkmSawESZwLSSxEEvORRJskhpFEkySaJDEgieUiiaWSxGJIYi6SGEYSbZJokkSTJFaCJM6FJBYiiblIYhhJtEmiTRJNkhiQxHKRxFJJYiGSmI8khpFEmySaJNEkic5LjfAj7Omnn2bVqlXceeedLNWZM2d45zvfydjYGJ1OZ7jrN13Mi/tu4K2bLqa3d5L6nilebhHB1NQUq9eP0tt/hJmjk0xP3MhSRQRTU1N0Op1Op9M2wo+wiy66iK9//evs3buXtWvXcvPNN/PQQw8xl6effpr77ruP173udZRSmJmZYWpqih9ntlkq2yyGbeZim2Fs02abNtsM2Gal2GapbLMQ28zHNsPYps02TbZpss2AbRaj3tZj6o4xZvX2TlLfM8VCbLNUZy5Yy+juQ6z+yVGmbr2Os6emGcY2c7HNMLZps02TbZpssxJscy5ssxDbzMc2bbYZxjZNtmmyzYBtlottlso2i2GbudhmGNu02abJNk22WQm2ORe2WYht5mKbYWzTZps22zTZZsA2y8U2S2WbhdhmPrYZxjZttmmyTZNtOi81wo+4K6+8kscee4wDBw7wp3/6p0QEr3jFK7j00ku5/PLL2bRpE71ej9e85jW8+tWv5vrrr+f5558nM/lP/+k/0el0FicuWUO9rcfhW6/hvuOn6e2d5JNffoTlsGHnnWjHLk5MbGfm6CSdTqfT6fwgRjhP3HTTTTz55JN84xvf4J/9s3/G2rVr6ff72ObZZ59lw4YN3H333TzxxBMcP36cyy+/nA5IYqkksRiSmIskhpFEmyTaJDEgiZUiiaWSxEIkMR9JDCOJNkk0SaJJEgOSWKq4ZA2Hb7uGw7dew7//8iP09k5y7/HTtEliMTKTXq/HLEkMrNu6g0t3fowTE9vxwX00SaItM+n1ekhiGEm0SaJJEk2SWAmSOBeSWIgk5iOJNkkMI4kmSTRJYkASy0USSyWJxZDEXCQxjCTaJNEkiSZJrARJnAtJLEQSc5HEMJJok0SbJJokMSCJ5SKJpZLEQiQxH0kMI4k2STRJokkSnZca4Txz5ZVX8sd//MdMTU3xxBNP8OSTT/LII4/w9a9/nfe9731cfPHFdDqdH1xcsobDt13DJ951FTd/+kF6eye59/hplioimJqaYpi1W8bo7T/CzNFJpiduZD4RwdTUFJ1Op9PptI3Q+bFmm6WyzWLYZi62GcY2bbZps82AbVaKbZbKNguxzXxsM4xt2mzTZJsm2wzY5gd1/aaLmbpjjPe8+TJu/vSD9PZOcu/x09hmqWzTtnr9KKO7D7H6J0eZuvU6zp6axjZzsc0wtmmzTZNtmmyzEmxzLmyzENvMxzZtthnGNk22abLNgG2Wi22WyjaLYZu52GYY27TZpsk2TbZZCbY5F7ZZiG3mYpthbNNmmzbbNNlmwDbLxTZLZZuF2GY+thnGNm22abJNk206LzVCZ0m+/e1v0+/3Gea5557j2LFjPPnkk8znhRde4NixY/T7fTqd80W9rcfUHWO8582XcfOnH+SNf/D/ce/x07xcNuy8E+3YxYmJ7cwcnaTT6XQ6ncUaobNotvnIRz7C8ePHafvMZz7D+Pg4H/3oR/n1X/91PvShD/Hkk0/S9vnPf56dO3fy0Y9+lA984AP8/u//PjMzM/ywSGKpJLEYkpiLJIaRRJsk2iQxIImVIomlksRCJDEfSQwjiTZJNEmiSRIDkni51dt6TN0xxi/99Gu5+dMP0ts7ySe//AhzyUx6vR6zJDGfdVt3cOnOj/HM79+CD+6jKTPp9XpIYhhJtEmiSRJNklgJkjgXkliIJOYjiTZJDCOJJkk0SWJAEstFEkslicWQxFwkMYwk2iTRJIkmSawESZwLSSxEEnORxDCSaJNEmySaJDEgieUiiaWSxEIkMR9JDCOJNkk0SaJJEp2XGqGzKI888ggf+chHeOaZZ2j7whe+wH/+z/+Zm266iY9//OPUdc13vvMd/uAP/oCmL3/5y3z2s5/l3e9+Nx//+Mf5zd/8TR5++GH+6I/+iE7nfFNv6zF1xxifeNdV7P7CFL29k3zyy4/QFhFMTU2xWGu3jNHbf4SZo5NMT9zIQEQwNTVFp9PpdDptI3Tm9dxzz/Fnf/Zn7Nmzh9e85jUMc+zYMa666irGxsZ4xStewWWXXcbb3/52Tpw4wcmTJxn4/Oc/zxve8AZ+5md+hle84hVcfvnlvPOd7+T+++/n0Ucf5YfBNktlm8WwzVxsM4xt2mzTZpsB26wU2yyVbRZim/nYZhjbtNmmyTZNthmwzXKxzazrN13M1B1jfOJdV/Hvv/wIvb2T1PdMMYxtFuPMBWsZ3X2ItVvGmLr1OmaOTjJgm2Fs02abJts02WYl2OZc2GYhtpmPbdpsM4xtmmzTZJsB2ywX2yyVbRbDNnOxzTC2abNNk22abLMSbHMubLMQ28zFNsPYps02bbZpss2AbZaLbZbKNguxzXxsM4xt2mzTZJsm23ReaoTz1AsvvMDDDz/MQw89xKynn36ac/Hd736XL37xi/zTf/pP+eVf/mWGGRkZ4bvf/S5NzzzzDLMuvPBCZp09e5aHH36YN77xjTRde+21zHrwwQfpdM5n12+6mMO3XcPhW6/hodPP0ts7SX3PFD8I7diFduzixMR2Zo5O0ul0Op3OMCOch7Zv384FF1zAxo0bueGGG5i1ceNG3v3ud7NUF154IR/+8If5x//4HzOXrVu38tBDD3Ho0CH+5m/+hr/8y7/kz//8z7n22mu5+OKLmfWNb3yDWaUUmlatWsXq1auZnp5mPn/1V3/FLbfcwi233MItt9zCm9/8Zj71qU+RmWQmVVWRmWQmmUlVVWQmmUlmUlUVmUlmkplUVUVm0u/3yUyqqiIzyUwyk6qqyEwyk8ykqioyk8yk3+9TVRWZSWaSmVRVRWaSmWQmVVXR7/fJTDKTqqrITDKTzGTPnj1kJplJZlJVFZlJv98nM6mqiswkM+n3+1RVRWaSmWQme/bsITPJTPr9PlVVkZlkJidOnKCqKjKTzCQzqaqKzCQzyUyqqiIzyUwyk6qqyEwyk8ykqioyk8wkM6mqisyk3++TmVRVRWaSmWQmVVWRmWQmmUlVVWQmmUm/36eqKjKTzCQzqaqKzCQzyUz27NlDZpKZZCZVVZGZZCaZyZ49e8hMMpPHH3+cr3/962Qm/X6fzKSqKjKTzKTf7/Ov//W/5rnnniMz6ff7VFVFZpKZ9Pt9qqoiM+n3+2QmVVWRmWQmmUlVVWQmmUlmUlUVmUlmkplUVUVmkplkJlVVkZlkJplJVVX0+30yk8ykqioyk8yEMyd5zZE/5FNvX8/R6ccZ3f1/8Yqx95CZ9Pt9MpOqqshMMpPMpKoqMpPMJDPZs2cPmUlm8kTvH7L/J/4nHr5znPHXv5p+v09VVWQmmUlmUlUV/X6fzCQzqaqKzKTf75OZVFVFZtLv98lMqqoiM+n3+2QmVVWRmZw4cYLMpKoqMpPMJDOpqorMJDPJTKqqIjPJTDKTqqrITDKTzKSqKjKTzCQz2bNnD5lJZpKZVFVFZpKZZCZVVZGZZCaZSVVVZCb9fp/MpKoqMpPMJDOpqorMJDPp9/tUVUVmkplkJlVVkZlkJv1+n6qqyEwyk8xkz549ZCaZSWZSVRWZSb/fJzOpqorMpN/vk5lUVUVm0u/3yUyqqqLf75OZZCZVVZGZZCaZSVVVZCaZSWZSVRWZSWaSmVRVRWaSmWQmVVWRmWQmmcmePXvITDKTzKSqKjKTzCQzqaqKzCQzyUyqqqLf75OZZCZVVZGZZCaZSVVVZCaZSb/fp6oqMpPMJDOpqorMpN/vk5lUVUVmkplkJnv27CEzyUwyk6qq6Pf7ZCaZSVVV9Pt9MpPMpKoq+v0+mUlmUlUVJ06cIDPJTKqqIjPJTDKTqqrITDKTzKSqKjKTzCQzqaqKzCQzyUyqqiIzyUz6/T5VVZGZZCaZSVVVZCaZSWZSVRWZSWaSmVRVRb/fJzPJTKqqIjPJTDKTqqrITPr9PplJVVVkJplJZlJVFf1+n8wkM6mqiswkM+n3+1RVRWaSmWQme/bsITPJTDKTqqro9/tkJplJVVX0+30yk8xkz549ZCaZSWZSVRWZSWaSmVRVRWaSmWQmVVWRmWQmmUlVVWQmmUlmUlUVmUlm0u/3qaqKzCQzyUyqqiIzyUwyk6qqyEwyk8xkz549ZCaZSWZSVRWZSWaSmVRVRb/fJzPJTKqqIjPJTDKTqqro9/tkJplJVVVkJplJv9+nqioyk8wkM9mzZw+ZSWaSmezZs4fM5FOf+hS33HIL27Zt45ZbbuGWW26h830jnGfe9KY3cejQId7xjnfwj/7RP2JgbGyM//Af/gM333wzS7Fq1Spe+cpXMp/Xv/71bN26lS984Qvs27ePf/tv/y0XXXQR73rXuxh44YUXmLVq1SraLrjgAp577jkWcuDAAQ4cOMCBAwd429vexk033UREEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCjRs3UkohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEH+Zl3SAAACAASURBVPjAB9i2bRsRQUQQEZRSiAgigoiglML09DQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgo/e/WV/J+/9Bb+7/F/yMREzdY//jafPPYiEUEphYggIogISilEBBFBRFBKISKICCKC1/Q2E3s/y6/9H/+ECz6xi1IKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYhg48aNRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChs3biQiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIIoKIoJRCRBARRASlFCKCiCAiKKUQEUQEEUEphYggIogISilEBBFBRFBKISKICCKCUgoRQUQQEZRSiAgigoiglEJEEBFEBKUUIoKIICIopRARRAQRQSmFiCAiiAhKKUQEEUFEUEohIogIIoJSChFBRBARlFKICCKCiKCUQkQQEUQEpRQigoggIiilEBFEBBFBKYWIICKICEopRAQRQURQSiEiiAgiglIKEUFEEBGUUogIbrrpJg4cOMDb3vY2Dhw4wIEDB+h83wjnkW9+85s88MADfO1rX+Ozn/0sTX/xF3/Bnj17+OQnP8kLL7zAy+nf/bt/x+TkJLfeeiv/5t/8G+q65tWvfjW//du/zZkzZ3g5XHvttTTVdU1TXdc01XVNU13XNNV1zSzbzKrrmqa6rmmq65oB29R1TVNd1zTVdY1tBuq6pml8fJymuq6ZZZtZdV0zYJu6rmkaHx9nwDZ1XdNU1zVNdV3TVNc1TXVd01TXNU11XTPLNrPquqaprmua6rpmwDZ1XdNU1zVN4+PjNNV1TdP4+DhNdV0zyzaz6rpmwDZ1XTNgm7quGbBNXdfMss2suq5pquuaprquaarrmqa6rmmq6xrbDNR1TVNd1wzEJWuot/U4fOs12OYVu/4r/PR7yCeeZaCua5rGx8dpquua1etHGd19iGc2/H3e8+jnmTk6yUBd19hmoK5rZtlmVl3XzLLNrLqumWWbWXVd01TXNU11XdNU1zVNdV3TVNc1TePj4zTVdU1TXdc01XXNLNvMquuaprquGbBNXdc01XXNgG3quqZpfHycprqumWWbWXVdM8s2s+q6ZpZtZtV1jW0G6rqmqa5rmuq6pqmua5rquqZpfHycprquaarrmqa6rrHNQF3XNNV1zYBt6rqmqa5rZtlmVl3XNI2Pj9NU1zW2GajrGtsM1HWNbQbquqaprmua6rqmqa5rmuq6pqmuawZsU9c1TXVd01TXNU11XWObgbquaarrmlm2mVXXNU11XWObgbquGbBNXdc0jY+P01TXNbYZqOsa2wyMj4/TVNc1TXVd01TXNU11XdNU1zUDtqnrmqa6rmmq65qm8fFxmuq6pqmua2wzUNc1TXVdY5uBuq4ZsE1d1zSNj49z9tQ0Z09NM3N0kvH/7ec4c/ggZw4fxAf3Mf76V3Pyrts5edft7DgzSed7RjiPfPSjH2Xjxo38g3/wDxjmtttuY9Zjjz3Gy+WRRx7hy1/+Mu94xzt405vexKpVq7jssst4//vfz8zMDP/lv/wXZq1evZpZzz33HG3PP/88q1atotP5cRaXrKHe1mPqjjFm9fZOcvOnHySfeJal0I5dXLrzY5yY2I4P7qPT6XR+FJw9Nc3M0UnOHD7ImcMH8cF9+MCvcvKu25meuJHpiRuZuvU6fMsbODGxnRMT2/HBfcz82X5mjk4yc3SSgbVbxli7ZYz/51V/n873jHAeGRkZ4YUXXmAuL7zwArNWrVrFy+XUqVPMWr9+PU1r1qzhiiuu4IknnmDWpk2bmPWd73yHpueee46zZ88SEfwwSGKpJLEYkpiLJIaRRJsk2iQxIImVIomlksRCJDEfSQwjiTZJNEmiSRIDklguklgqScQla6i39Xhx3w1cfvEaensn2br/K+QTzzIgiblIYu2WMXr7jzBzdJKTd93OLEm0SaJJEk2SWAmSOBeSWIgk5iOJNkkMI4kmSTRJYkASy0USSyWJxZDEXCQxjCTaJNEkiSZJrARJnAtJLEQSc5HEMJJok0SbJJokMSCJ5SKJpZLEQtY9P8PZU9PMHJ3kzOGDnLzrdk7edTvTEzcydet1+JY3cGJiOz64j6fu/Y/MHJ1k1oaf/l9Yu2UM7diFduxi4+7P8LrPfJve3Ufo3X2E0d2HGN19iA0772TDzjvRjl1oxy7Wbd3Buq07mF4tOt8zwnnk9ttv59vf/jb/7b/9N4bZuXMnF154IZJ4uVx66aXMevTRR2n6u7/7O6ampiilMGvVqlWMjo5y//330/RXf/VXzHrd615Hp9P579Xbery47wbeuulitt79FXp7J7n3+GkWY/X6UUZ3H+LsY9NM3XodZ09N0+l0Osvp7Klpzhw+yJnDBzl51+1MT9zI1K3XcWJiOycmtuOD+5g5OsnaLWOs3TKGduxi4+7P8LrPfJve3UcY3X2I0d2H2LDzTrRjF+u27mDd1h2s3TLG2i1jrF4/SufcjHAeufLKK7n22mv52Z/9Wd75zncy8IUvfIFer8enP/1pJiYmeDlt2LCBq6++ms997nN89atf5cUXX+T06dP84R/+IRdccAFvfetbGdi2bRsPPPAAX/ziF3nxxRfJTP7kT/6EN77xjVx66aX8MNhmqWyzGLaZi22GsU2bbdpsM2CblWKbpbLNQmwzH9sMY5s22zTZpsk2A7ZZLrZZKtsMU2/rMXXHGO9582Xc/OkH6e2d5N7jpxnGNk2juw+xbusOTkxsZ+boJE22abJNk21Wgm3OhW0WYpv52KbNNsPYpsk2TbYZsM1ysc1S2WYxbDMX2wxjmzbbNNmmyTYrwTbnwjYLsc1cbDOMbdps02abJtsM2Ga52GYxzp6aZuboJGcOH+TkXbczPXEjf7P973FiYjtP3fsfmTk6ydotY2jHLjbu/gzr9vwFvbuPMLr7EBt23sm6rTtYt3UHa7eMsXr9KLYZxjZttmmyTZNtOi81wnnmL//yL3n729/On/7pn/KlL32Jb33rW2zbto3MZN++ffzGb/wGL7df+qVf4uqrr+bAgQO8733v44Mf/CCPP/44//Jf/kvWr1/PwFve8hbe8Y53cOjQId73vvfxu7/7u2zcuJH3vve9dDqdhdXbekzdMcZ73nwZN3/6QXp7J7n3+GkWoh27WPfPP8SJie344D46nU5nsc6emmbm6CRnDh/k5F23M3XrdZyY2I4P7mPm6CSr//5b0I5dvO4z36Z39xFGdx9iw847Wbd1B2u3jLF6/SidH74RzkOf+9zneOaZZzh+/DgPPvggmcmLL77Ir/zKr/CD+Imf+AkOHDjAm970JpouvPBCbr75Zu6++24OHDjAgQMHqOuaTZs20fYLv/AL7N+/nwMHDnDgwAHGx8dZu3YtPyySWCpJLIYk5iKJYSTRJok2SQxIYqVIYqkksRBJzEcSw0iiTRJNkmiSxIAklosklkoSi1Fv6zF1xxjvefNl3PzpB9m6/yvkE88ySxLD6C0/T2//EWaOTjI9cSOzJNEkiSZJrARJnAtJLEQS85FEmySGkUSTJJokMSCJ5SKJpZLEYkhiLpIYRhJtkmiSRJMkVoIkzoUkFiKJuUhiGEm0SaJNEk2SGJDEcpHE2VPTnDl8kJN33c70xI2cmNiOD+5j5ugka7eMcenOj9G7+wijuw+xYeed6H9+N2u3jDEfScxHEsNIok0STZJokkTnpUY4T61Zs4YrrriCzZs3s2rVKr71rW/R6XTOL/W2HlN3jPHWTRfT2zvJ1v1fIZ94lrmsXj/K6O5DzJq69To6nU7n7KlpZo5OcvKu25meuJETE9uZOTrJ2i1jaMcuencfYXT3ITbsvJN1W3ewdssYnR89I5xnDh8+zE/91E9x+vRpZn3gAx9g48aNbNq0iVe+8pU8+uijdL7PNktlm8WwzVxsM4xt2mzTZpsB26wU2yyVbRZim/nYZhjbtNmmyTZNthmwzXKxzVLZZjFs01Rv6/Hivht466aL6e2dpL5nijbbDIzuPsS6rTuYuvU6Zo5OMmCbJtusBNucC9ssxDbzsU2bbYaxTZNtmmwzYJvlYpulss1i2GYuthnGNm22abJNk21Wgm3OhW0WYpu52GYY27TZps02TbYZsM0P6uypac4cPsj0xI2cmNiOD+5j9fpR+Pn30rv7CBt23sm6rTtYu2WMhdhmIbaZj22GsU2bbZps02SbzkuNcB559tlnueGGG3jqqac4c+YMTz/9NPv27eOKK67g2LFjXHzxxVx99dV0Op3zU72txwPjW5j1il3/lfqeKeaiHbtY988/xImJ7Zw5fJBOp3N+O3tqGh/cx/TEjZyY2M7M0UnK9b9I7+4jjO4+hHbsYu2WMTrnpxHOIw888AAXXHABTz/9NJdffjlf+tKXmHXPPffwute9jq9+9aucOnWKp59+ms73SGKpJLEYkpiLJIaRRJsk2iQxIImVIomlksRCJDEfSQwjiTZJNEmiSRIDklguklgqSSyGJOZydVxKva3H1B1jPHT6WXp7J6nvmUISbXrLz9Pbf4Sn7v2PnLzrdiTRJImVIIlzIYmFSGI+kmiTxDCSaJJEkyQGJLFcJLFUklgMScxFEsNIok0STZJoksRKkMS5kMRCJDEXSQwjiTZJtEmiSRIDkliss6em8cF9TE/cyImJ7Zw9NY127KJ39xE27LyTdVt30CSJpZLEQiQxH0kMI4k2STRJokkSnZca4Tzya7/2a4yOjjJw++23M+uKK65g1qtf/Wpmfec736HT6Zzf4pI1fOJdV3H41mu47/hpensnuff4adpWrx9lw/vv5Oxj00xP3Ein0/nRdvbUNGcOH2R64kZOTGzn7KlptGMXvbuPsGHnnazdMkbnx88I55Hrr7+eZ599loFvfvObRAQjIyPMOnXqFLNe9apX0fke2yyVbRbDNnOxzTC2abNNm20GbLNSbLNUtlmIbeZjm2Fs02abJts02WbANsvFNktlm8WwzVxs0xSXrOHwbdew89p1bN1/P/U9UwzYZtbq9aOM7j7EMxcWpm69jrOnppllm5Vgm3Nhm4XYZj62abPNMLZpsk2TbQZss1xss1S2WQzbzMU2w9imzTZNtmmyzUqwzbmwzUJsMxfbDGObNtu02abJNgO2GebsqWl8cB9Tt13HzNFJyvW/SO/uI2zYeSdrt4yxGLZZKtssxDbzsc0wtmmzTZNtmmzTeakRziP/4l/8C06ePMmHP/xhPvjBD/Ld736Xffv2Meub3/wmmzZtYv369axbt45Op/Pj5b1vuYypO8aY1ds7SX3PFG265V+hHbs4MbGdmaOTdDqd//GdOXyQ6YkbOTGxnVm9/UfYsPNO1m3dQaczMMJ55Kd+6qf41V/9VT74wQ/y4Q9/mBtuuIF3vvOdzLr66quZdd9999H5PkkslSQWQxJzkcQwkmiTRJskBiSxUiSxVJJYiCTmI4lhJNEmiSZJNEliQBLLRRJLJYnFkMRcJDGMJOKSNdTbehy+9RruO36aN3/8GPnEswxIYt3WHVy682OcmNjOq04eYyVI4lxIYiGSmI8k2iQxjCSaJNEkiQFJLBdJLJUkFkMSc5HEMJJok0STJJoksRIkcS4ksRBJzEUSw0iiTRJtkmiSxIAkzp6a5szhg0xP3IgP7qNc/4v07j6Cduxi9fpRzpUklkoSC5HEfCQxjCTaJNEkiSZJdF5qhPPMRz7yEfr9Pk899RRf/OIXGfjSl77E888/z+bNm+l0Oj/e4pI1HL7tGt7z5svo7Z2kvmeKprVbxujtP8KJie344D46nc7/GM6emsYH93FiYjv/75/8e7RjF727j7Bu6w46nfmMcB666KKLWLduHU1XX301IyMjdP57tlkq2yyGbeZim2Fs02abNtsM2Gal2GapbLMQ28zHNsPYps02TbZpss2AbZaLbZbKNothm7nYZhjbtI2/eR1Td4xx3/HT9PZO8vmvfZuB1etHWfc7f8HM0UlO3nU7y8k258I2C7HNfGzTZpthbNNkmybbDNhmudhmqWyzGLaZi22GsU2bbZps02SblWCbc2GbhdhmLrYZxjZttmmzTZO/eRQf3MeR33kf/uZRLt35MX72D/6ctVvGeDnZZqlssxDbzMc2w9imzTZNtmmyTeelRvgx88ILL9DpdDoDcckaDt92DRP/pMcvfPLr1PdMMbB6/Sijuw9x9rFppidupNPprKyzp6Y5c/gg/vBNnD01zTXvuwPd8q9Yu2WMTmcpRjjPTE9Pc/XVV9Pr9ej1evR6PXq9HpdffjmXXXYZr3zlK+l8nySWShKLIYm5SGIYSbRJok0SA5JYKZJYKkksRBLzkcQwkmiTRJMkmiQxIInlIomlksRiSGIukhhGEm2SGHjvWy5j6o4x7jt+mt7eSfKJZ5HErNHdh1j9k6Oc3Xsjy0ES50ISC5HEfCTRJolhJNEkiSZJDEhiuUhiqSSxGJKYiySGkUSbJJok0SSJlSCJcyGJhUhiLpIYRhJtkmiTxJnDBzkxsR0f3MfG2+9iw847WbtlDEksF0kslSQWIon5SGIYSbRJokkSTZLovNQI55G/+7u/47WvfS1f+9rXmJmZITN5+umnOX36NH/7t3/LyZMn+cVf/EU6nU5nmLhkDYdvu4aJf9Kjt3eS+p4pBjbsvJORt/wCU7dex8zRSTqdzvI4e2qak3fdjg/uQzt20bv7CGu3jNHp/CBGOI987WtfY9aJEyd49NFHueKKK7jpppt48skneeqpp3jVq17Fz/3cz9H5PtsslW0WwzZzsc0wtv9/9uAHWO+DrvP9m0NTQuGX0nxKWyBn+z0W/9QKss32tkZRwiIozugqmdyOY5XadbOp3NoauOxsF08roHcpES6UxrN7tbrsqnum6L2OolzF4MCGDWYBhdjZ5TL5MM/RtmE/1qYxLZ5Y7pzZ+wy/+8vznOc8oedI09/rRVcSupIwlISNkoRpJWGSJKwmCaMkoSsJbUloS8JQEtZLEqaVhLVIwjhJGCUJXUloS8KK11/zAo7dvoPf++xfsvOeTzL0zFffhHbv46G7b+PU0UM8WZJwNpIwSRJWk4SuJIyShLYktCVhKAnrJQnTSsJaJGGcJIyShK4ktCWhLQkbIQlnIwmTJGGcJIyShK4krFg+PiCL+1ma38Vjmy9k7sBhtuzczYokDCVhvSRhWkmYJAmrScIoSehKQlsS2pLQO9MM55Dbb7+dF77whbzoRS9ixZVXXslv/dZvsWLLli184hOf4Kd/+qfp9Xq9SWrrZj74+m/iu664iLm3H+Ijn3+YFVt27ubSN7yLpfldnDp6iF6v99U7cXCRpfldLB8fsO3O+9jyg7fQ6z2ZZjiHXH755Zx//vkM3XnnnSRh6Bu+4Rt47LHHSELvf5DEtCSxFpIYRxKjSKJLEl2SGJLERpHEtCQxiSRWI4lRJNEliTZJtEliSBLrRRLTksRaSGIcSYwiiS5JtEmiTRJ3vGaOe6+/kp33fIr//fDDrLjgqh1su/M+luZ3ceroIb5akjgbkphEEquRRJckRpFEmyTaJDEkifUiiWlJYi0kMY4kRpFElyTaJNEmiY0gibMhiUkkMY4kRpFE2/LxAXz4V8jifi59w7u47A3vZtMls0iiTRJDklgvkpiWJCaRxGokMYokuiTRJok2SfTONMM55Kd+6qewzRNPPMGKiy++mEcffZRTp06x4vHHH2fF6dOn6fV6vbV6xRUXcez2Hfznv3iMnfd8khUXXLWDuXsOszS/ixMHF+n1etM5cXCRB993KyvmDhzmgqt20OutlxnOId/8zd/Mpk2beO5zn8s999zD5ZdfzjOf+Uyuu+46PvvZz/Id3/EdrLj00kvp/Q9JmFYS1iIJ4yRhlCR0JaErCUNJ2ChJmFYSJknCapIwShK6ktCWhLYkDCVhvSRhWklYiySMk4RRktCVhLYktCVhqLZu5td/6IV81xUXMff2Q3zk8w+z6ZJZ5u45zCMf+Y9kcT9nKwlnIwmTJGE1SehKwihJaEtCWxKGkrBekjCtJKxFEsZJwihJ6EpCWxLakrARknA2kjBJEsZJwihJWD4+IIv7yeJ+Hv/h/w3+8evpSkJbEoaSsF6SMK0kTJKE1SRhlCR0JaEtCW1J6J1phnPMF77wBS688EKuueYaVtx777185jOf4SUveQmf+cxnuOuuu+j1er2zdcdr5rj3+ivZec+n+JU/eYBNl8xy2U++m1NHD/Hg3bfS6/XGO3X0EA++71ZWzB04zNd/49fT622EGc4xL3jBC3jggQe45pprWHHDDTfwyCOPcP/993P8+HHe+MY30vsKSUxLEmshiXEkMYokuiTRJYkhSWwUSUxLEpNIYjWSGEUSXZJok0SbJIYksV4kMS1JrIUkxpHEKJLokkSbJNokMcorrriIY7fv4Ff/5AFu/I372XTJLLN3foDlLw4YzL+OaUnibEhiEkmsRhJdkhhFEm2SaJPEkCTWiySmJYm1kMQ4khhFEl2SaJNEmyQ2giTOhiQmkcQ4kmhbPj4gi/s5/etvQ7v3od37GJJElyTaJDEkifUiiWlJYhJJrEYSo0iiSxJtkmiTRO9MMzwNbNmyhW/6pm/i+c9/Pr1er/dkqK2bOXjz1fivHmPnPZ9kxeydH2DFYP519Hq9/2H5+ICl+V2smDtwmAuu2kGvt9FmOMecOHGCq6++mtnZWWZnZ5mdnWV2dpbZ2VlmZ2e5/PLL6X1FEqaVhLVIwjhJGCUJXUnoSsJQEjZKEqaVhEmSsJokjJKEriS0JaEtCUNJWC9JmFYS1iIJ4yRhlCR0JaEtCW1JmOTgzVfzXVdcxNzbD/GRzz/M7J0fYMVg/nWsVRLORhImScJqktCVhFGS0JaEtiQMJWG9JGFaSViLJIyThFGS0JWEtiS0JWEjJOFsJGGSJIyThBV/9pu/ytL8Lrbs3I127yMJXUnoSkJbEoaSsF6SMK0kTJKE1SRhlCR0JaEtCW1J6J1phnPIE088wYUXXsinPvUp/vZv/5Zer9fbCHe8Zo57r7+Snfd8io98/mFm7/wAKwbzr6PXezpaPj4gi/tp/uAett15H9q9j17v79MM55CPfvSjrPjMZz7DQw89xGAwYDAYMBgMGAwGDAYDvvCFL9D7CklMSxJrIYlxJDGKJLok0SWJIUlsFElMSxKTSGI1khhFEl2SaJNEmySGJLFeJDEtSayFJMaRxCiS6JJEmyTaJLFWr7jiIo7dvoOd93yKOz50jNk7P8Cm588ymH8dk0jibEhiEkmsRhJdkhhFEm2SaJPEkCTWiySmJYm1kMQ4khhFEl2SaJNEmyQ2giTOhiQmkcQoy8cHPPaePayYO3CYTZfMMiSJLkl0SaJNEkOSWC+SmJYkJpHEaiQxiiS6JNEmiTZJ9M40wznkZ37mZ7jsssv4lm/5Fnq9Xm+j1dbNHLt9B3/8+Ye58Tfu57I3vJtNz5/l2N5r6fWeDk4dPcTS/C627NyNdu+j1/taMcM55Bd+4Rd45JFH6K1dEqaVhLVIwjhJGCUJXUnoSsJQEjZKEqaVhEmSsJokjJKEriS0JaEtCUNJWC9JmFYS1iIJ4yRhlCR0JaEtCW1JmFZt3czBm6/Gf/UYO+/5JJe94d1o9z6O7b2WcZJwNpIwSRJWk4SuJIyShLYktCVhKAnrJQnTSsJaJGGcJIyShK4ktCWhLQkbIQlnIwmTJGFo+fiALO7nobtvY9ud98E/fj2jJKErCV1JaEvCUBLWSxKmlYRJkrCaJIyShK4ktCWhLQm9M81wDtm+fTvnnXce8/Pz9Hq93t+ngzdfTW19NnNvP8Rffev3o937OLb3WpaPD+j1ziXLxwec+MgiJw4usu3O+9h0ySy93teaGZ7iXvaylzE3N8fc3Bxzc3NI4md/9me54IILuPzyy5mbm2Nubo65uTnm5ua44oor6H2FJKYlibWQxDiSGEUSXZLoksSQJDaKJKYliUkksRpJjCKJLkm0SaJNEkOSWC+SmJYk1kIS40hiFEl0SaJNEm2S+Grce/2VzL96jp0HPskn/8F3o937WJrfxamjh2iTxNmQxCSSWI0kuiQxiiTaJNEmiSFJrBdJTEsSayGJcSQxiiS6JNEmiTZJbARJnA1JTCKJ5eMDluZ3sWLuwGE2XTLLCkmMIokuSXRJok0SQ5JYL5KYliQmkcRqJDGKJLok0SaJNkn0zjTDU9zp06c5ffo0p0+f5vTp05w+fZpt27YhiSeeeILTp09z+vRpTp8+zenTpzl9+jS9Xq+3UV5/zQu49/or2XnPp/jkP/hutHsfD919G6eOHqLXeyo7dfQQS/O72LJzN9q9j17va9kMT3Gf/exnGQwGDAYDBoMBg8GAwWDAYDBgMBgwGAwYDAYMBgMGgwFf+MIX6H1FEqaVhLVIwjhJGCUJXUnoSsJQEjZKEqaVhEmSsJokjJKEriS0JaEtR60A2AAAIABJREFUCUNJWC9JmFYS1iIJ4yRhlCR0JaEtCW1JeDK84oqLOHjzP2TnPZ/iN5/7ci59w7t46O7bOHX0ECuScDaSMEkSVpOEriSMkoS2JLQlYSgJ6yUJ00rCWiRhnCSMkoSuJLQloS0JGyEJZyMJq8nifpbe/QYe/+GfR7v30ZWEUZLQlYSuJLQlYSgJ6yUJ00rCJElYTRJGSUJXEtqS0JaE3plmOIc89NBDfPGLX6TX6/W+1rziios4dvsOfvVPHuAdSy/g0je8i6X5XZw6eohe76li+fiALO7nxMFF9Ob3c+XLX0mv91Qwwzngne98J+eddx6XXXYZl1xyCVu3buXjH/846+Ev//IvefTRRxnl1KlT3H///Zw6dYqnCklMSxJrIYlxJDGKJLok0SWJIUlsFElMSxKTSGI1khhFEl2SaJNEmySGJLFeJDEtSayFJMaRxCiS6JJEmyTaJPFkqq2buff6b+aPP/8wP/mZi9h2530sze/i2Q/+V86GJCaRxGok0SWJUSTRJok2SQxJYr1IYlqSWAtJjCOJUSTRJYk2SbRJYiNI4mxIomv5+IAs7ufU0UPMHTiMXnwV40hiFEl0SaJLEm2SGJLEepHEtCQxiSRWI4lRJNEliTZJtEmid6YZnuI+/vGP86Y3vYnNmzdz3XXXsX37dh5++GF27NjBww8/zJMpCe94xzv4/Oc/T9vy8jK//Mu/zG233ca73/1ubrvtNhYWFjh16hRdt9xyC3v27GHPnj3s2bOHPXv2sGfPHu6//356vd65r7Zu5uDNV+O/eozv++PNbLvzPpbmd3Hq6CF6va9Vy8cHLM3vYtMls8ze+QF6vaeaGZ7ibrrpJjZt2sTJkyf5+Mc/zpEjR/jc5z7Hire+9a08WR544AHe8Y538Nhjj9F133338elPf5pbbrmFhYUF3vzmN/O5z32O97///bQ98sgjfOlLX+JVr3oVN954IzfeeCM33ngjN954Iy984Qv5+5CEaSVhLZIwThJGSUJXErqSMJSEjZKEaSVhkiSsJgmjJKErCW1JaEvCUBLWSxKmlYS1SMI4SRglCV1JaEtCWxLWy8Gbr6a2Ppur/k949i0LLM3v4tTRQ0wjCZMkYTVJ6ErCKEloS0JbEoaSsF6SMK0krEUSxknCKEnoSkJbEtqSsBGScDaSMLR8fMCD77uVLTt3o937GErCOEkYJQldSehKQlsShpKwXpIwrSRMkoTVJGGUJHQloS0JbUnonWmGp7gkvPjFL6btxS9+MRdffDG///u/z1fr9OnT/M7v/A5ve9vbeN7znkfXE088wUc/+lFe+cpXctVVV7Hi677u69i5cyef/vSn+fKXv8zQsWPHWPHqV7+a6667juuuu47rrruO6667jgsvvJBer/f0cu/1V/Jj/+gFfNsfbeEL+z7E0vwuTh09RK/3tSKL+1ma38XD3/r9aPc+er2nqhme4r70pS9x/vnn0/Xc5z6Xxx57jK/Wl770JT784Q/zgz/4g9xyyy10zczM8J73vIfv+Z7voW15eZlnPOMZtC0tLfHsZz+bCy+8kK8VkpiWJNZCEuNIYhRJdEmiSxJDktgokpiWJCaRxGokMYokuiTRJok2SQxJYr1IYlqSWAtJjCOJUSTRJYk2SbRJYr3d8Zo53vZ938A/+6NH+cK+D7E0v4sTBxdZC0lMIonVSKJLEqNIok0SbZIYksR6kcS0JLEWkhhHEqNIoksSbZJok8RGkMTZkEQW93Pi4CLb7ryPl/7Qj9EliXEkMYokuiTRJYk2SQxJYr1IYlqSmEQSq5HEKJLokkSbJNok0TvTDL1VPetZz+Jf/+t/zate9SrGOe+889i8eTNf/vKXOXXqFB/5yEc4ePAg3/u938sznvEMhv7iL/6Ciy++mHe9613s3buXvXv3sn//fh566CHWYs+ePezZs4c9e/awZ88e3v/+92Mb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2WVpawja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGObpaUlbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxjaveP6X+PlXXMSr7/si/+XH/gMP/f6v8vl/8xZsYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvbLC0tYRvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9sc++TH+fy/eQt/9Qe/Bj/xbv7i1N9hG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGOb97///ezZs4c9e/awZ88e9uzZQ+8rZuit6rzzzuP8889nLf78z/+c2267jV//9V9n69atfNu3fRttx44d48EHH+Qbv/Eb+cmf/El+5Ed+hC9+8Yvcdddd/PVf/zWTLCwssLCwwMLCAgsLC9xwww1UFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVNE1DVVFVVBVVRVVRVVQVVUVVUVVUFVVF0zRUFVVFVVFVVBVVRVVRVVQVTdNQVVQVVUVVUVVUFU3TUFVUFVVFVVFVNE1DVVFVVBVVRdM0VBVVRVVRVTRNQ1VRVTRNQ1VRVVQV27Zto6qoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqmqahqqgqqoqqoqqoKqqKqqKqqCqqiqqiaRqqiqqiqqgqqoqqoqqoKpqmoaqoKqqKqqKqqCqqiqZpqCqqiqqiqqgqmqahqqgqqoqqomkaqoqqoqpomoaqoqqoKpqmoaqoKpqmoaqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqmqahqqgqqoqqoqqoKqqKqqKqqCqqiqqiaRqqiqqiqqgqqoqqoqqoKqqKpmmoKqqKqqKqqCqqiqZpqCqqiqqiqqgqmqahqqgqqoqqomkaqoqqoqpomoaqoqqoKpqmoaqoKqqKbdu2UVVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVTRNw/XffiXHbt/BD3/ky/zxd81z/l/8OZt/591UFVVFVVFVVBVVRVXRNA1VRVVRVVQVVUVVUVVUFU3TUFVUFVVFVVFVVBVVRdM0VBVVRVVRVTRNQ1VRVVQVVUVV0TQNVUVVUVU0TUNVUVVUFU3TUFVUFU3TUFVUFVVFVVFVVBVVRVVRVVQVVUVVUVVUFVVFVVFVVBVVRVVRVVQVTdNQVVQVVUVVUVVUFVVFVVFVVBVVRVXRNA1VRVVRVVQVVUVVUVVUFVVF0zRUFVVFVVFVVBVVRdM0VBVVRVVRVVQVTdNQVVQVVUVV0TQNVUVVUVU0TUNVUVVUFU3TUFVUFVXFtm3bqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKpqmoaqoKqqKqqKqqCqqiqqiqqgqqooXXfBMzvu/3snMI8f5+n/7X5i7+tuoKqqKqqKqqCqqiqZpqCqqiqqiqqgqqoqmaagqqoqqoqqoKpqmoaqoKqqKqqJpGqqKqqKqqCqapqGqqCqqiqZpqCqqiqZpqCqqiqqiqqgqqoqqoqqoKqqKqqKqqCqqiqqiqqgqqoqqoqqoKqqKpmmoKqqKqqKqqCqqiqqiqqgqqoqqoqpomoaqoqqoKqqKqqKqqCqqiqZpqCqqiqqiqqgqqoqqomkaqoqqoqqoKqqKpmmoKqqKqqKqaJqGqqKqqCqapqGquOGGG1hYWODnfu7nWFhYYGFhgd5XzHCOOHnyJCdPnuTkyZOcPHmSoZMnT3Ly5ElOnjzJyZMnOXnyJOulqrj77rv5V//qX/HsZz+bt7/97fz3//7fGbr++ut505vexGtf+1q+5Vu+hW//9m/n1ltv5dFHH+UP//AP6fV6T2+1dTPHbt/Bf/B5/MyVb2P5iwMevPtWer2NsHx8wOG3/nMuuGoHW3785+j1ziUznAP+9E//lKZpaJqGpmlomgbb2KZpGpqmoWkamqbhec97HuvlOc95Dps2bWJ2dpa9e/fy+OOPc/DgQYZe9rKXcfnll9N22WWX8cIXvpCHHnqIvw+SmJYk1kIS40hiFEl0SaJLEkOS2CiSmJYkJpHEaiQxiiS6JNEmiTZJDElivUhiWpJYC0mMI4lRJNEliTZJtEliI0hiqLZu5t7rvxn/1WP86KW3s/zFAYP51zGKJCaRxGok0SWJUSTRJok2SQxJYr1IYlqSWAtJjCOJUSTRJYk2SbRJYiNIYi1OHT3E0vwurnz5K9HufUhiEkmMI4lRJNEliS5JtEliSBLrRRLTksQkkliNJEaRRJck2iTRJonemWZ4itu+fTvbt29n+/btbN++ne3bt7N9+3a2b9/O9u3b2b59O9u3b2f79u1s376d7du382T6m7/5Gz796U/z13/917Q1TcP555/PI488woq/+Zu/4ejRozzyyCOM8sxnPpNer9dbUVs3c/Dmq1nxo5fezorB/Ovo9dZDFvfz0N238fgP/zzavY9e71w0w1Pchz/8YY4cOcKRI0c4cuQIR44c4ciRIxw5coQjR45w5MgRjhw5wpEjRzhy5AiHDx/myfT4449z4MABPvGJT9D28MMP8/jjj/P85z+fFY8++ijvec97+OhHP0pbEh588EFmZ2f5+5CEaSVhLZIwThJGSUJXErqSMJSEjZKEaSVhkiSsJgmjJKErCW1JaEvCUBLWSxKmlYS1SMI4SRglCV1JaEtCWxI2QhJGOXjz1XzXFRfxnefv4xObr+TY3mtpS8IkSVhNErqSMEoS2pLQloShJKyXJEwrCWuRhHGSMEoSupLQloS2JGyEJIyzfHxAFvdz4uAi2+68jytf/kqGkjBJEsZJwihJ6EpCVxLakjCUhPWShGklYZIkrCYJoyShKwltSWhLQu9MM/S+KpL41m/9Vn73d3+Xz372s6x44IEHeN/73kfTNOzcuZMVl112GS996Uv5gz/4A/7sz/6MFQ888AAHDhzgwgsvZOfOnfR6vV7XHa+ZY/7Vc7zxidfyme0/zrG913Lq6CF6va/G8vEBJz6yyP0f/SPmDhxm0yWz9Hrnshl6X7WbbrqJl770pbz3ve9lz5493HHHHczMzPDGN76RLVu2MHTjjTfy0pe+lAMHDrBnzx7uuOMOnvWsZ/HGN76RCy64gL8PkpiWJNZCEuNIYhRJdEmiSxJDktgokpiWJCaRxGokMYokuiTRJok2SQxJYr1IYlqSWAtJjCOJUSTRJYk2SbRJYiNIYjWvv+YF3Hv9lfzA/V/P71/7Zpbmd3Hq6CEkMYkkViOJLkmMIok2SbRJYkgS60US05LEWkhiHEmMIokuSbRJok0SG0ESXcvHByzN72LFd7z3dxlFEpNIYhxJjCKJLkl0SaJNEkOSWC+SmJYkJpHEaiQxiiS6JNEmiTZJ9M40Q2/NnvOc57CwsMDLXvYy2p71rGdx0003sbCwwMLCAgsLC/zLf/kvueyyy2i74IILuOmmmzhw4AALCwssLCzwpje9iYsvvpher9dbzSuuuIhjt+9g8VTxlivfytL8Lk4cXKTXm8apo4dYmt/Flp270e599HpPFzP0ntaSMK0krEUSxknCKEnoSkJXEoaSsFGSMK0kTJKE1SRhlCR0JaEtCW1JGErCeknCtJKwFkkYJwmjJKErCW1JaEvCRkjCWtTWzdx7/Tdz/AX/kB9/yS/y4Ad/hQfvvpXVJGE1SehKwihJaEtCWxKGkrBekjCtJKxFEsZJwihJ6EpCWxLakrARkjCUxf08dPdtbLvzPrR7H6tJwiRJGCcJoyShKwldSWhLwlAS1ksSppWESZKwmiSMkoSuJLQloS0JvTPN0Ov1er2njNq6mYM3X82rrnsJr3zOm/nD//wZBvOvo9cbZ/n4gCzu58TBRbbdeR+bLpml13u6maH3tCaJaUliLSQxjiRGkUSXJLokMSSJjSKJaUliEkmsRhKjSKJLEm2SaJPEkCTWiySmJYm1kMQ4khhFEl2SaJNEmyQ2giSmdcdr5vj3N7yUGy69nU9svpJje69l+fiALkmsRhJdkhhFEm2SaJPEkCTWiySmJYm1kMQ4khhFEl2SaJNEmyQ2wpa/O8XS/C5WzB04zKZLZlkLSUwiiXEkMYokuiTRJYk2SQxJYr1IYlqSmEQSq5HEKJLokkSbJNok0TvTDL1er9d7SnrFFRdx7PYdvPGJ1/Le5/0Qx26+llNHD9Hrrcjifpbmd7Fl5260ex+93tPZDL2ntSRMKwlrkYRxkjBKErqS0JWEoSRslCRMKwmTJGE1SRglCV1JaEtCWxKGkrBekjCtJKxFEsZJwihJ6EpCWxLakrARknA2klBbN3Nw79V8ava7eeWL3sXht/5zsrifoSSsJgldSRglCW1JaEvCUBLWSxKmlYS1SMI4SRglCV1JaEtCWxLWy/LxAVncz4mDizz7lgW0ex/TSsIkSRgnCaMkoSsJXUloS8JQEtZLEqaVhEmSsJokjJKEriS0JaEtCb0zzdDr9Xq9p7TaupmDN1/NP33t/8QNl97O7/32BxnMv47e08/y8QFL87tYMXfgMJsumaXX68EMvac1SUxLEmshiXEkMYokuiTRJYkhSWwUSUxLEpNIYjWSGEUSXZJok0SbJIYksV4kMS1JrIUkxpHEKJLokkSbJNoksREkcTYk0XbHa+b42PwP8JYr38o7ll7Asb3X8uwH/yurkUSXJEaRRJsk2iQxJIn1IolpSWItJDGOJEaRRJck2iTRJokn0/LxAVncz9L8Lrbs3I1272OFJM6GJCaRxDiSGEUSXZLokkSbJIYksV4kMS1JTCKJ1UhiFEl0SaJNEm2S6J1phl6v1+udM2rrZo7dvoPPbv9xrp/5UZbmd5HF/fTOXcvHBzz4vls5cXCRbXfeh3bvo9fr/f/N0HtaS8K0krAWSRgnCaMkoSsJXUkYSsJGScK0kjBJElaThFGS0JWEtiS0JWEoCeslCdNKwlokYZwkjJKEriS0JaEtCRshCWcjCeMcvPlq9r7+h3jli97F7/32Bzm291pOHT1EVxK6kjBKEtqS0JaEoSSslyRMKwlrkYRxkjBKErqS0JaEtiQ8GbK4n6X5XVxw1Q7mDhxm0yWztCXhbCRhkiSMk4RRktCVhK4ktCVhKAnrJQnTSsIkSVhNEkZJQlcS2pLQloTemWbo9Xq93jnp9de8gA/e9gp+acddXD/zoyzN7yKL++k99S0fH5DF/Zw4uMi2O+9Du/fR6/XGm6H3tCaJaUliLSQxjiRGkUSXJLokMSSJjSKJaUliEkmsRhKjSKJLEm2SaJPEkCTWiySmJYm1kMQ4khhFEl2SaJNEmyQ2giTOhiQmeWldysGbr2bv63+IV77oXfzeb3+QY3uv5dTRQ6yQRJckRpFEmyTaJDEkifUiiWlJYi0kMY4kRpFElyTaJNEmibOxfHxAFvezNL+LFXMHDrPpklnGkcTZkMQkkhhHEqNIoksSXZJok8SQJNaLJKYliUkksRpJjCKJLkm0SaJNEr0zzdDr9Xq9c97rr3kBH5v/AX5px13se+J7WZrfRRb303vqWD4+4MH33cqJg4tsu/M+tHsfvV5vbWboPa0lYVpJWIskjJOEUZLQlYSuJAwlYaMkYVpJmCQJq0nCKEnoSkJbEtqSMJSE9ZKEaSVhLZIwThJGSUJXEtqS0JaEjZCEs5GESZIwVFs3c/Dmq7nlf/0pfvwlv8gdHzrGsb3XcuroIdqSMEoS2pLQloShJKyXJEwrCWuRhHGSMEoSupLQloS2JKzV8vEBWdzP0vwuLrhqB3MHDrPpklnWIglnIwmTJGGcJIyShK4kdCWhLQlDSVgvSZhWEiZJwmqSMEoSupLQloS2JPTONEOv1+v1nlZeccVFfGz++9Hufbz8/J/m8Fv/Ocf2Xsvy8QG9rx3LxwdkcT9L87tY8Yy3/zHavY9erze9GXpPa5KYliTWQhLjSGIUSXRJoksSQ5LYKJKYliQmkcRqJDGKJLok0SaJNkkMSWK9SGJaklgLSYwjiVEk0SWJNkm0SWIjSOJsSGISSYxzx2vm+Nj8D/Dv/sl/5Bf+9hqO3XwtD959K1v+7hSjSKJNEm2SGJLEepHEtCSxFpIYRxKjSKJLEm2SaJPEak4cXGRpfhef+6+fY9ud96Hd+6itm5mWJM6GJCaRxDiSGEUSXZLokkSbJIYksV4kMS1JTCKJ1UhiFEl0SaJNEm2S6J1phl6v1+s9bdXWzdx7/ZXsu+ud7Hnl7/D2T53m2M3XksX99DbeiYOLDOZfRxb3c+kb3sV1b/lFNl0yS6/X++rM0HtaS8K0krAWSRgnCaMkoSsJXUkYSsJGScK0kjBJElaThFGS0JWEtiS0JWEoCeslCdNKwlokYZwkjJKEriS0JaEtCRshCWcjCZMkYTVJWFFbN3Pw5qvZd9c7+RfX3MMdHzrGf9v1QrK4n+XjA1YkoS0JbUkYSsJ6ScK0krAWSRgnCaMkoSsJbUloS8LQ8vEBT/zJBzm291qyuJ8LX/E/M3fgMBdctYOvVhLORhImScI4SRglCV1J6EpCWxKGkrBekjCtJEyShNUkYZQkdCWhLQltSeidaYZer9fr9f4/tXUz//afvpx9d72Tn/3OX+GODx3j2M3XksX9LB8f0HvyLB8fcOLgIkvzu/i7//uXePyHf565A4fZsnM3vV7vyTVD72lNEtOSxFpIYhxJjCKJLkl0SWJIEhtFEtOSxCSSWI0kRpFElyTaJNEmiSFJrBdJTEsSayGJcSQxiiS6JNEmiTZJbARJnA1JTCKJ1UiiSxK1dTP//pZXs++ud/Lv/slvcMeHjnHiLa/l2N5rOXFwkRWSaJPEkCTWiySmJYm1kMQ4khhFEl2SaJPE0PLxAXz4V/jYLd/Hn3/sj7j0De9i0+0f4MqXv5InmyTOhiQmkcQ4khhFEl2S6JJEmySGJLFeJDEtSUwiidVIYhRJdEmiTRJtkuidaYZer9fr9caorZt52498J/vueie/9hP/iV/422v47V9a4Njea8nifnprs3x8wImDiwzmX8fS/C5WfMd7fpfr3vKLXHDVDnq93vqaofe0loRpJWEtkjBOEkZJQlcSupIwlISNkoRpJWGSJKwmCaMkoSsJbUloS8JQEtZLEqaVhLVIwjhJGCUJXUloS0JbEjZCEs5GEiZJwmqS0JWErtq6mf/lH23hvb90N//PDf8Hv/Ttd3HHh47x33a9kGN7ryWL+0nCUBLWSxKmlYS1SMI4SRglCV1JWD4+4NTRQzx496187Jbv489+81d5+Fu/n7kDh+Efv55Nl8yy3pJwNpIwSRLGScIoSehKQlcS2pIwlIT1koRpJWGSJKwmCaMkoSsJbUloS0LvTDP0er1erzeFO14zx9t+5Dv5ibe8hV/7if/Ev7j4n3HHh46RPS/h2N5ryeJ+nq6Wjw84dfQQWXgTS/O7eOju29h0ySx68/v5jvf+v+zBDbTVdZ33/TebzYNwBO0nMSEEyIg5huAwRBNy2xgjeZqJIKebhhkBCfHhaDRSN2pc2kTzXeADk5LxmaUWPsRQ41nU/hvIgLEU0hMiqCiCl/o1nkL9DeWBI3g2m3vtda2zrr12h0fFFH6v18OcO2Y8SZK8/3IkJ7QQAkcqhMDhCCFwICEEWhNCoFoIgWohBFqEEHi/hBA4UiEEDiWEwMGEEGhNCIFqIQQqhRCoFEKgRQiBYyWEwJEKIXA4QggcSAiB1oQQqBZCoFIIgUohBN4PIQSORgiBQwkhcDAhBKqFEGhNCIFK5/bpzs0j+7Lwu5O47pZb+cnkVdTXDOfuX/6GOGUAr145lPjT22h6/te8l0IIHKkQAocjhMCBhBBoTZd9Tbz1q5/yu7lTWXntF3h63vcIf34O3evm0PeHDYSvXMe55w2kUgiB90MIgaMRQuBQQggcSAiB1oQQqBZCoFoIgUohBFqEEDhWQggcqRAChxJC4GBCCLQmhEC1EAKVQghUCiGQ/LEcSZIkSfIu9flIR24e2ZfrbrmV//f2+fxk8iruGXYLNz/yKvU2g1evHMrmm75M/OltND3/az7Mml/fzFu/+im/mzuVV68cypabLuGFlY/S6ZzP0Peu33D+nQ8TvnIdnc75DEmSfDDkSE5oMUaOVIyRwxFj5EBijLQmxki1GCPVYoy0iDHyfokxcqRijBxKjJGDiTHSmhgj1WKMVIoxUinGSIsYI8dKjJEjFWPkcMQYOZAYI62JMVItxkilGCOVYoy8H2KMHI0YI4dhso8BAAAgAElEQVQSY+RgYoxUizHSmhgjlWKMVIoxUtbnIx255q+6MPOf/h/uvGcu59/xMMv//k7mdh3DzY+8Sr3NYNMlPXj1yqHEn95G/OltND3/aw5XjJEjFWPkcMQYadH8+maaX9/MW7/6Kb+bO5XNN32ZTZf0YMtNl9D0/K95vcd5dK+bQ5eZv+TTM+bR5W++Qp+PdKQsxkilGCOVYoy8H2KMHI0YI4cSY+RAYoy0JsZItRgj1WKMVIox0iLGyLESY+RIxRg5lBgjBxNjpDUxRqrFGKkUY6RSjJHkj+VIkiRJkmOoz0c68rXaTzHrX8Zx5z1zOf+Oh/n1/7eG5X9/Jyte3snNj7xKvc1g0yU9ePXKoWy+6cv8bu5U4k9vI/70Npqe/zXNr2/mvdb8+maaX99M0/O/5q1f/ZS3fvVTor7J5pu+zKtXDmXltV9gy02X8MLKR/lNx7PZ+dnL2Tbrefr+sIE/q/t3zh0znk7nfIYkST74ciQntBACRyqEwOEIIXAgIQRaE0KgWgiBaiEEWoQQeL+EEDhSIQQOJYTAwYQQaE0IgWohBCqFEKgUQqBFCIFjJYTAkQohcDhCCBxICIHWhBCoFkKgUgiBSiEE3g8hBI5GCIFDCSFwMCEEqoUQaE0IgUohBCqFEGgRQuBA+nykIxOGfIyv1X6KL18/kzvvmcv5dzxM+/94hf996d2sHzyJ33Q8mxUv7+THq7dTbzNYee0X2HRJDzZd0oO3vl3Lq1cOZfNNX2bzTV9m801f5ndzp/K7uVP53dyp/G7uVH43dyq/mzuV382dyuabvkzTHZez+aYv8+qVQ3n1yqFsuqQHK6/9AltuuoSn532PF1Y+StPzv+bFjw5l14irKU59gL/5z2fp+8MGPj1jHl/82hTO/ZuRfLbfqVQLIVAthEClEAKVQgi8H0IIHI0QAocSQuBAQgi0JoRAtRAC1UIIVAoh0CKEwLESQuBIhRA4lBACBxNCoDUhBKqFEKgUQqBSCIHkj+VIkiRJkj+xPh/pSJ+PdORv/3oAF3+xli9+bQpfvn4m191yK//0wHL63vUb2v/HK2yb9TzFqQ/wvy+9m10jrmb94EmsHzyJ13ucx+s9zuP1Hufxeo/zeL3Hebze4zxe73Ee6wdPYteIq9k14mqKUx+gOPUBts16nr/5z2fp+8MGzr/zYT49Yx5/VvfvfPFrUzh7+IWcedaZJEly/MiRnNBijBypGCOHI8bIgcQYaU2MkWoxRqrFGGkRY+T9EmPkSMUYOZQYIwcTY6Q1MUaqxRipFGOkUoyRFjFGjpUYI0cqxsjhiDFyIDFGWhNjpFqMkUoxRirFGHk/xBg5GjFGDiXGyMHEGKkWY6Q1MUYqxRipFGOkRYyR91Kfj3Skz0c68tl+p/KR0z7C3/71AM4efiEXf7GWi79Yy7ljxnPumPGcO2Y8544Zz7ljxnPumPGcO2Y8F3+xlo/+xUDOHn4hZ551JmeedSaf7XcqrYkxciAxRloTY6RajJFKMUYqxRh5P8QYORoxRg4lxsiBxBhpTYyRajFGqsUYqRRjpEWMkWMlxsiRijFyKDFGDibGSGtijFSLMVIpxkilGCPJH8uRJEmSJEmSJMexHMl7Zu/evWzcuJE9e/ZwIKVSiY0bN9LY2MgHQQiBIxVC4HCEEDiQEAKtCSFQLYRAtRACLUIIvF9CCBypEAKHEkLgYEIItCaEQLUQApVCCFQKIdAihMCxEkLgSIUQOBwhBA4khEBrQghUCyFQKYRApRAC74cQAkcjhMChhBA4mBAC1UIItCaEQKUQApVCCLQIIXCshBA4UiEEDkcIgQMJIdCaEALVQghUCiFQKYTA+yGEwNEIIXAoIQQOJIRAa0IIVAshUC2EQKUQAi1CCBwrIQSOVAiBQwkhcDAhBFoTQqBaCIFKIQQqhRBI/liO5F1rbm5m/vz5TJ06ldtvv51vfOMb3HPPPTQ1NVFp8eLF1NXVcfvttzNt2jTuuOMOmpqaSJIkSZIkSY6dHMm79sADD/Dkk0/yT//0T8ybN4+bbrqJbdu2IYkWq1evZtGiRYwbN4558+Zxww03sHXrVu677z7+lGKMHKkYI4cjxsiBxBhpTYyRajFGqsUYaRFjpNLjjz/OsRJj5EjFGDmUGCMHE2OkNTFGqsUYqRRjpFKMkRYxRo6VGCNHKsbI4YgxciAxRloTY6RajJFKMUYqxRip9Pjjj3MsxBg5GjFGDiXGyMHEGKkWY6Q1MUYqxRipFGOkRYyRYyXGyJGKMXI4YowcSIyR1sQYqRZjpFKMkUoxRio9/vjjHAsxRo5GjJFDiTFyIDFGWhNjpFqMkWoxRirFGGkRY+RYiTFypGKMHEqMkYOJMdKaGCPVYoxUijFSKcZI8sdyJO/KW2+9xZNPPsnnP/95hg0bRps2bfizP/szJk2axIsvvsjGjRspW7x4MQMGDGDYsGG0adOG3r17M2bMGNauXcuOHTtI3jsrV64kSY6FlStXkiTHwsqVK0mS5NjJkbwrv/3tbynr168flXr06EHbtm1Zv349zc3NbN26lYEDB1Jp8ODBlG3YsIE/lRACRyqEwOEIIXAgIQRaE0KgWgiBaiEEWoQQeL+EEDhSIQQOJYTAwYQQaE0IgWohBCqFEKgUQqBFCIFjJYTAkQohcDhCCBxICIHWhBCoFkKgUgiBSiEE3g8hBI5GCIFDCSFwMCEEqoUQaE0IgUohBCqFEGgRQuBYCSFwpEIIHI4QAgcSQqA1IQSqhRCoFEKgUgiB90MIgaMRQuBQQggcSAiB1oQQqBZCoFoIgUohBFqEEDhWQggcqRAChxJC4GBCCLQmhEC1EAKVQghUCiGQ/LEcybvSpk0bykqlEpX279/P/v37+f3vf89LL71EWdeuXamUz+dp164dmzdv5k+lUChwpAqFAoejUChwIIVCgdYUCgWqFQoFqhUKBVoUCgXeL4VCgSNVKBQ4lEKhwMEUCgVaUygUqFYoFKhUKBSoVCgUaFEoFDhWCoUCR6pQKHA4CoUCB1IoFGhNoVCgWqFQoFKhUKBSoVDg/VAoFDgahUKBQykUChxMoVCgWqFQoDWFQoFKhUKBSoVCgRaFQoFjpVAocKQKhQKHo1AocCCFQoHWFAoFqhUKBSoVCgUqFQoF3g+FQoGjUSgUOJRCocCBFAoFWlMoFKhWKBSoVigUqFQoFGhRKBQ4VgqFAkeqUChwKIVCgYMpFAq0plAoUK1QKFCpUChQqVAokPyxHMm7ctZZZ5HP53nyySep9OSTT1IqlWhubqZUKlGWz+ep1rZtW4rFIodjypQpTJkyhSlTpjBlyhTuv/9+3B13x91xd9wdd8fdcXfcHXfH3XF33B13x91xd7Isw91xd9wdd8fdcXfcHXfH3XF33B13J8sy3B13x91xd9wdd8fdcXfcnSzLcHfcHXfH3XF33J0sy3B33B13x91xd7Isw91xd9wddyfLMtwdd8fdcXeyLMPdcXeyLMPdcXfcnTJ3x91xd9wdd8fdcXfcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3cmyDHfH3XF33B13x91xd9wdd8fdcXfcnSzLcHfcHXfH3XF33B13x93Jsgx3x91xd9wdd8fdcXeyLMPdcXfcHXfH3cmyDHfH3XF33J0sy3B33B13J8sy3B13x93Jsgx3x93Jsgx3x91xd9wdd8fdcXfcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3cmyDHfH3XF33B13x91xd9wdd8fdcXfcnSzLcHfcHXfH3XF33B13x91xd7Isw91xd9wdd8fdcXeyLMPdcXfcHXfH3cmyDHfH3XF33J0sy3B33B13J8sy3B13x93Jsgx3x91xd8rcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3XF33B13x91xd9ydLMtwd9wdd8fdcXfcHXfH3XF33B13x91xd7Isw91xd9wdd8fdcXfcHXcnyzLcHXfH3XF33B13x93Jsgx3x91xd9ydLMtwd9wdd8fdcXeyLMPdcXfcnSzLcHfcHXcnyzLcHXcnyzLcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3XF33B13x91xd9wddyfLMtwdd8fdcXfcHXfH3XF33B13x91xd7Isw91xd9wdd8fdcXfcHXfH3cmyDHfH3XF33B13x93Jsgx3x91xd9wddyfLMtwdd8fdcXeyLMPdcXfcnSzLcHfcHXcnyzLcHXfH3Slzd9wdd8fdcXfcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3XF3sizD3XF33B13x91xd9wdd8fdcXfcHXfH3cmyDHfH3XF33B13x91xd9ydLMtwd9wdd8fdcXfcnSzLcHfcHXfH3XF3sizD3XF33B13J8sy3B13x91xd7Isw91xd9ydLMtwd9ydLMtwd9wdd8fdcXfcHXfH3XF33B13x91xd9wdd8fdcXfcHXfH3XF33J0sy3B33B13x91xd9wdd8fdcXfcHXfH3cmyDHfH3XF33B13x91xd9ydLMtwd9wdd8fdcXfcHXcnyzLcHXfH3XF33J0sy3B33B13x93Jsgx3x91xd7Isw925//77mTJlClmWMWXKFKZMmULyf+VI3pV8Ps/o0aNZs2YNt912G48++igPPPAA9fX19OrVi1wux3uhf//+VFu5ciVmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZWaGmWFmmBlmhplhZpgZZoaZYWaYGWVmhplhZpgZZoaZYWaYGWZGmZlhZpgZZoaZYWaUmRlmhplhZpgZZWaGmWFmmBllZoaZYWaYGWVmhplRZmaYGWZGmZlhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmlJkZZoaZYWaYGWaGmWFmmBlmhplhZpSZGWaGmWFmmBlmhplhZpSZGWaGmWFmmBlmhplRZmaYGWaGmWFmlJkZZoaZYWaUmRlmhplRZmaYGWZGmZlhZpSZGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZkaZmWFmmBlmhplhZpgZZoaZYWaYGWZGmZlhZpgZZoaZYWaYGWaGmVFmZpgZZoaZYWaYGWVmhplhZpgZZkaZmWFmmBlmRpmZYWaYGWVmhplhZpSZGWaGmVFmZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmlJkZZoaZYWaYGWaGmWFmmBlmhplhZpgZZWaGmWFmmBlmhplhZpgZZWaGmWFmmBlmhplhZpSZGWaGmWFmlJkZZoaZYWaYGWVmhplhZpSZGWaGmVFmZpgZZWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZUWZmmBlmhplhZpgZZoaZYWaYGWaGmVFmZpgZZoaZYWaYGWaGmWFmlJkZZoaZYWaYGWZGmZlhZpgZZoaZUWZmmBlmhplRZmaYGWZGmZlhZpgZZWaGmWFmlJkZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBllZoaZYWaYGWaGmWFmmBlmhplhZpgZZkaZmWFmmBlmhplhZpgZZkaZmWFmmBlmhplhZpSZGWaGmWFmmBllZoaZYWaYGWVmhplhZpgZZWaGmWFmlJkZZkaZmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaUmRlmhplhZpgZZoaZYWaYGWaGmWFmlJkZZoaZYWaYGWaGmWFmlJkZZoaZYWaYGWaGmVFmZpgZZoaZYWaUmRlmhplhZpSZGWaGmVFmZqxcuZJq/fv3J/k/ciTv2ogRI/ja175G27ZtWbZsGaVSiRtuuIH9+/fToUMH2rVrR1mxWKTavn37yOfzHMp1112HJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEIS1113Hcn/kSN5TwwZMoSpU6fyb//2b1x66aV07dqVbdu20bt3b/r160fZ7t27qVQsFmlubqZPnz4kSZIkSZIkx0aO5F27/vrrWb58OZWeeOIJSqUSn/zkJ8nn8/Tq1Yu1a9dSac2aNZT179+fJEmSJEmS5NjIkbxrZ555JkuWLGHz5s2UrV+/nv/6r//iggsu4LTTTqNs5MiRPPPMMyxfvpz9+/fj7tTX1zNw4EC6d+9OkiRJkiRJcmzkSN61sWPH8vGPf5yZM2cyZcoUfvCDHzB06FDGjh1LiyFDhjBq1CgeeughrrjiCsyMnj17MmHCBJIkSZIkSZJjJ0fyrnXq1IlrrrkGSUjihz/8IWPHjiWXy1GptraWu+66C0lI4pprrqFTp04kSZIkSZIkx06OJEmSJEmSJDmO5UiSJEmSJEmS41iOJEmSJEmSJDmO5UiSJEmSJEmS41iOJEmSJEmSJDmO5UiSE8ibb77JunXr2LJlC0nyXtq+fTvr1q3j5ZdfJkmOhVdffZU//OEPJMl7pbGxkWeeeYaNGzdyvMuRJCeIhoYGZs2axdNPP81dd93Fz3/+c5LkvfCf//mf3HnnnTz99NP85Cc/4ZZbbqG5uZkkea9s376dW2+9lVdffZUkeS+sX7+e73znOzz11FPU19dz6623sn//fo5XOZLkBFAqlfjJT37Cv/zLv3DZZZdx/fXXs3z5cnbs2EGSvBubN2/m8ccf58Ybb+Syyy5jxowZvP322/zmN78hSd4LxWKRu+++my5dupAk74VSqcSPf/xjLr/8ciZNmsT111/P7t27efrppzle5UiSE8D69evp3LkzH/vYxyg7+eSTOeecc3jhhRdIknejpqaGuro6OnfuTIvu3bvzP//zPyTJe2HRokUMGjSI008/nSR5Lzz33HOEEOjfvz8tbrrpJgYPHszxKkeSnAB2795Nz549qXTSSSexdetWkuTdOPXUUzn77LNp8frrr/Pss88yaNAgkuTd2rRpE5s2beLv//7vSZL3yu7du+nWrRsPPPAAdXV1fP3rX2fp0qUcz3IkyYfItm3baGxspDWlUomNGzfS2NhItVKpRC6Xo1KbNm3Yv38/SVK2bds2GhsbaU2pVGLjxo00NjZyML///e+ZM2cOX/jCF+jVqxdJUrZt2zYaGxtpTalUYuPGjTQ2NlKtqamJBx54gEmTJpEkrdm2bRuNjY20plQqsXHjRhobG6m2bds2nn76aXr37s3cuXP55je/yeLFi3nhhRc4XuVIkg+JGCOzZ8/m5ZdfptrixYupq6vj9ttvZ9q0adxxxx00NTXRIp/Ps2/fPirt37+ftm3bkiQxRmbPns3LL79MtcWLF1NXV8ftt9/OtGnTuOOOO2hqaqKauzNz5kw+97nPUVtbS5KUxRiZPXs2L7/8MtUWL15MXV0dt99+O9OmTeOOO+6gqamJFg899BAf//jHeeONN1i/fj2NjY289tprbNmyhSSJMTJ79mxefvllqi1evJi6ujpuv/12pk2bxh133EFTUxMtPvrRj/LRj36U4cOHU9azZ0/OO+88nnrqKY5XOZLkQ2D79u3Mnj2bt99+m2qrV69m0aJFjBs3jnnz5nHDDTewdetW7rvvPlqccsop/Pa3v6VSY2Mj/fr1Izmxbd++ndmzZ/P2229TbfXq1SxatIhx48Yxb948brjhBrZu3cp9991HpQ0bNvD973+fcePGMWLECJKkbPv27cyePZu3336baqtXr2bRokWMGzeOefPmccMNN7B161buu+8+WnTp0oU9e/awYsUKVqxYQYyR559/nhdffJHkxLZ9+3Zmz57N22+/TbXVq1ezaNEixo0bx7x587jhhhvYunUr9913Hy1OPvlkqrVp04Y2bdpwvMqRJB9gxWKRLMuYOXMmp5xyCq1ZvHgxAwYMYNiwYbRp04bevXszZswY1q5dy44dOyjr378/ZevXr6ds27ZtbNiwgbPPPpvkxFQsFsmyjJkzZ3LKKafQmsWLFzNgwACGDRtGmzZt6N27N2PGjGHt2rXs2LGDsjfffJN58+YxceJEBgwYQLFYpFgsUiqVSE5MxWKRLMuYOXMmp5xyCq1ZvHgxAwYMYNiwYbRp04bevXszZswY1q5dy44dOygbNWoUdXV11NXVUVdXR58+faitrWXEiBEkJ6ZisUiWZcycOZNTTjmF1ixevJgBAwYwbNgw2rRpQ+/evRkzZgxr165lx44dlA0YMIDGxkaeffZZyhobG3n++ef51Kc+xfEqR5J8gO3du5fly5czevRorr32Wqo1NzezdetWBg4cSKXBgwdTtmHDBsratGnDZZddxvz585kzZw6zZ89m4sSJdOnSheTEtHfvXpYvX87o0aO59tprqdbc3MzWrVsZOHAglQYPHkzZhg0bKFuxYgV79uzhBz/4AVdffTVXX301V199NQsXLiQ5Me3du5fly5czevRorr32Wqo1NzezdetWBg4cSKXBgwdTtmHDBpKkNXv37mX58uWMHj2aa6+9lmrNzc1s3bqVgQMHUmnw4MGUbdiwgbJ8Ps8VV1zBggULmD17NjNmzGD48OGcddZZHK9yJMkHWIcOHZg1axYjRoygNS+99BJlXbt2pVI+n6ddu3Zs3ryZFmeddRa33HILV111FXPmzGHw4MEkJ64OHTowa9YsRowYQWteeuklyrp27UqlfD5Pu3bt2Lx5M2WXXHIJkpCEJCQhia9+9askJ6YOHTowa9YsRowYQWteeuklyrp27UqlfD5Pu3bt2Lx5M62pq6tj0KBBJCeuDh06MGvWLEaMGEFrXnrpJcq6du1KpXw+T7t27di8eTMtzjzzTMyMqVOncvvtt/OFL3yB41mOJPkAy+fztG/fngMplUqU5fN5qrVt25ZisUi1Dh060KZNG5ITWz6fp3379hxIqVSiLJ/PU61t27YUi0WSpDX5fJ727dtzIKVSibJ8Pk+1tm3bUiwWSZLW5PN52rdvz4GUSiXK8vk81dq2bUuxWKRa+/btyeVyHO9yJEmSJEmSJMlxLEeSfIi1a9eOsmKxSLV9+/aRz+dJkqPRrl07yorFItX27dtHPp8nSY5Gu3btKCsWi1Tbt28f+XyeJDka7dq1o6xYLFJt37595PN5TlQ5kuRDrF+/fpTt3r2bSsVikebmZvr06UOSHI1+/fpRtnv3bioVi0Wam5vp06cPSXI0+vXrR9nu3bupVCwWaW5upk+fPiTJ0ejXrx9lu3fvplKxWKS5uZk+ffpwosqRJB9i+XyeXr16sXbtWiqtWbOGsv79+5MkRyOfz9OrVy/Wrl1LpTVr1lDWv39/kuRo5PN5evXqxdq1a6m0Zs0ayvr370+SHI18Pk+vXr1Yu3YtldasWUNZ//79OVHlSJIPuZEjR/LMM8+wfPly9u/fj7tTX1/PwIED6d69O0lytEaOHMkzzzzD8uXL2b9/P+5OfX09AwcOpHv37iTJ0Ro5ciTPPPMMy5cvZ//+/bg79fX1DBw4kO7du5MkR2vkyJE888wzLF++nP379+Pu1NfXM3DgQLp3786JKkeSfMgNGTKEUaNG8dBDD3HFFVdgZvTs2ZMJEyaQJO/GkCFDGDVqFA899BBXXHEFZkbPnj2ZMGECSfJuDBkyhFGjRvHQQw9xxRVXYGb07NmTCRMmkCTvxpAhQxg1ahQPPfQQV1xxBWZGz549mTBhAieyHEnyIdG5c2ckMWjQIKrV1tYyd+5cpk+fzpw5c7jmmmvo1KkTSXI4OnfujCQGDRpEtdraWubOncv06dOZM2cO11xzDZ06dSJJDkfnzp2RxKBBg6hWW1vL3LlzmT59OnPmzOGaa66hU6dOJMnh6Ny5M5IYNGgQ1Wpra5k7dy7Tp09nzpw5XHPNNXTq1IkTWY4kOU7kcjn69u1Lp06dSJL3Ui6Xo2/fvnTq1IkkeS/lcjn69u1Lp06dSJL3Ui6Xo2/fvnTq1IkEciRJkiRJkiTJcSxHkiRJkiRJkhzHciRJkiRJkiTJcSxHkiRJkiRJkhzHciRJkiRJkiTJcSxHkiRJkiRJkhzHciRJkiTJIfI51/UAAA9gSURBVOzZs4discifQrFYZNeuXRyJXbt2USwWSZIkKcuRJEnyATR9+nS6detGt27d6NatG926daNbt25069aNbt260a1bNxoaGkiOvYaGBvr27UtTUxPH0ic+8QnGjx9Ptbvvvpvzzz+fIzFz5kwmTpxIkiRJWY4kSZIPoF27dvHmm28yePBgamtrqa2tpba2ltraWmpra6mtreXUU08lObZKpRITJ07k+uuvp0uXLhxLMUYaGxuptmTJEi666CKOxA033MDDDz/ML3/5S5IkSXIkSZJ8gN14443Mnz+f+fPnM3/+fObPn8/8+fOZP38+/fv3Jzm25s6dyx/+8Afq6ur4UyiVSvzyl79kxIgRHIkuXbrw9a9/nWnTppEkSZIjSZLkQ27VqlWsW7eOTZs2MX36dBYsWECpVKLF0qVLmTFjBjNmzGDp0qW05p133mHhwoXU1dVxzz33sGfPHhoaGmhoaKDSkiVLaGhooNovf/lLGhoaqLZ06VJmzJjBjBkzWLp0KdVWrVrFmjVr2LNnDwsXLqSuro7/+I//4I033qA1S5Ys4cYbb+TGG29k2bJltFi9ejWLFi2iVCpR7YknnuCJJ57gaNx2221MmDCBXC5Hi1WrVrFu3To2bdrE9OnTWbBgAaVSibI9e/bws5/9jBkzZlBXV8f999/Pjh07qLZnzx4efPBB6urquP/++3nnnXdozaOPPko+n2fEiBG0WLNmDbNmzaKuro4HH3yQHTt20JrLL7+cDRs2UF9fT5IkJ7YcSZIkH3I333wz3/72txk2bBizZs1i/PjxNDU18dZbb3HBBRcwcuRIli1bxooVKxg5ciSf+9zn2LVrFy22bt3K2Wefzfjx49myZQu33HILf/mXf8m3vvUtZs2aRaVJkyYxa9Ysqo0fP55Zs2bR4q233uKCCy5g5MiRLFu2jBUrVjBy5Eg+97nPsWvXLlrcfPPNzJgxg3PPPZdJkyaxdOlSpkyZwllnncWLL75IizfeeIOhQ4dy8cUXs2LFCh555BH+9m//li996UuUrV+/ntGjR7Ns2TIqNTU1ccEFF5BlGUdq2bJl/Pa3v+Xv/u7vqHTzzTfz7W9/m2HDhjFr1izGjx9PU1MT69ato3fv3owbN47Vq1ezevVqJk6cyJlnnsm6deto8dprr3HOOecwfvx4Nm7cyPTp0/nUpz7F3r17qbZkyRI+//nPk8vlKPvOd77DX/3VX7FgwQLcnauvvpp+/frxq1/9imof+9jH+PSnP83dd99NkiQnthxJkiQfYI8++igLFy5k4cKFLFy4kIULF7Jw4UJ27NhBpYcffpjx48fT2NjIqlWrqKmp4eqrr6ahoYHHHnuMJ554gscff5wnn3yShoYGrrvuOlpMmDCBXbt2sXHjRhYtWsSLL77IX//1X/PYY49xtK6++moaGhp47LHHeOKJJ3j88cd58sknaWho4LrrrqPS4sWLGTduHG+99RabNm1ixYoV7Ny5k9tuu40WU6dO5bnnnmPlypWsWrWKp556Ckn8/Oc/55577mHcuHGcdNJJPPjgg1RasGABzc3NjB8/niP1i1/8gnbt2jF06FCqPfzww4wfP57GxkZWrVpFTU0Nl112GTU1NezYsYMlS5bQ0NDAU089RVNTE7fccgstJkyYwK5du3jxxRf57//+bzZv3szgwYNpbGyk2tKlS7noooso27VrF9/97nf59re/zbp168iyjC1bttCjRw+uu+46WjN06FCWLVtGqVQiSZITV44kSZIPsJtvvpmxY8cyduxYxo4dy9ixYxk7dizPPfcclTp37sytt95KTU0NQ4YMYefOnSxYsIDLL7+c4cOH02Lo0KFceuml/OhHP6JYLLJ9+3aWLVvGVVddRe/evWnxgx/8gA4dOnA0du7cyYIFC7j88ssZPnw4LYYOHcqll17Kj370I4rFIi26du3KTTfdRC6Xo+yCCy7gjDPOYMeOHZQ1NTWxcOFCvva1rzFs2DBaXH755Vx55ZX079+f9u3b89WvfpWFCxfyzjvv0OLHP/4xn/nMZ+jfvz9H6pVXXuETn/gEuVyOap07d+bWW2+lpqaGIUOGUPaNb3yD73//+5x66qm0GDRoEKeeeiq7d++m7JVXXmHFihVMnTqVP//zP6csl8tx55130q5dOypt376d5557jgsvvJCynTt3sm/fPv7whz/Qoqamhvr6ehYvXkxrBg8eTHNzMw0NDSRJcuLKkSRJ8gH2yCOP0NjYSGNjI42NjTQ2NtLY2MhnP/tZKp1//vlUWrVqFfv27eO5555j8uTJTJ48mcmTJzN58mSef/55mpubWbVqFatXr6Zs8ODBVOrYsSMXXnghR2PVqlXs27eP5557jsmTJzN58mQmT57M5MmTef7552lubmbVqlW0OP/886l2xhlnUCqVKHvsscfYt28fw4YNo9pdd93F8OHDKZswYQJ79+5l4cKFlL3yyiusXLmS8ePHczQaGho444wzaM35559PtX/+53/m85//PEuXLmXBggVMmzaN2tpa3nzzTYrFImXPPvssZQMGDKBSp06dGD58OJWWLFnCGWecQf/+/Snr1asXF198MXfeeSddunThq1/9Kvfffz8f+9jH6N69O63p2rUrZW+88QZJkpy4ciRJknyAnXTSSdTU1FBTU0NNTQ01NTXU1NSQz+eplM/nqVQsFil75513iDESYyTGSIyREAKjR4+mpqaGvXv3UpbL5ajWsWNHjkaxWKTsnXfeIcZIjJEYIzFGQgiMHj2ampoaDlepVKKsQ4cOHMzw4cM544wzWLBgAWUPPvgg7dq14x//8R85Gnv37iWXy9GafD5PtYULF3LaaacxcuRIpkyZwosvvsiQIUM4+eSTabF3717K2rdvT7WTTjqJSkuXLmXkyJFUyrIMSXzmM5/hoYce4tJLL6V79+5897vfpTX5fJ6yUqlEkiQnrhxJkiTHoY4dO1J21VVXUV9fT319PfX19dTX11NfX099fT2DBw/mtNNOo6yxsZFqMUZaUyqVqLZ3715adOzYkbKrrrqK+vp66uvrqa+vp76+nvr6eurr6xk8eDCH69RTT6Vs586dVFu1ahUNDQ20mDBhAkuXLiXGyIMPPsg//MM/UFNTw9Ho0aMHe/bs4XC89tprjBs3joEDB7JlyxbeeustsizjO9/5Dvl8nhYnn3wyZbt27aJajJEWpVKJhx9+mIsuuohKuVyOyy+/nCVLltDU1MTDDz/MkCFD+F//63/x7LPPUm3Pnj2UtW/fniRJTlw5kiRJjkMjRoygc+fO3HvvvVSbNGkSp59+Ok1NTQwfPpxTTz2VBQsWUGn79u2sWrWKagMGDMDdqfTaa6/R2NhIixEjRtC5c2fuvfdeqk2aNInTTz+dpqYmDtfQoUPp2rUrCxcupNI777zDl770JebOnUuLCRMmsG/fPv793/+djRs3MnHiRI7WJz/5SZ588kkOx9q1a9m3bx91dXWcfvrptHjllVfYuXMnLS666CJOOukkfvazn1Fp8+bNrF69mhZPPPEEe/bsoba2lhbLli2jS5cuLFu2jLJ8Pk9tbS3f/OY3KduyZQvVtmzZQtk555xDkiQnrhxJkiTHoXw+z4033sijjz7KxIkT2bRpEzt27OB73/se9957L6NGjaJTp07k83n+9V//lZ///OdMmzaNHTt2sG7dOr70pS+xb98+qp177rk888wz3HjjjTQ0NPCLX/yCiy++mNNOO40W+XyeG2+8kUcffZSJEyeyadMmduzYwfe+9z3uvfdeRo0aRadOnThcuVyOm2++mUceeYRvfetbbN26lRdeeIGvfOUr7Ny5k29+85u06NWrFxdeeCGzZs2iZ8+ejBgxgqP16U9/mp07d7Jz504O5S/+4i8ou+uuu9i+fTulUolly5ZRW1tLu3btaGz8/9uDn5Cm+ziA429+fgkpLzKVFUIgsskUUbxsys9Qh1QQCKIeJL2EyhAU2WWI+AcZlChjiNNDh0512kb8WuJERcLpIQpEQW8SCZqO6Bk7GOiDB2EMfXwe7PCon9frL04ppejv7+fdu3cMDAzw48cP1tbWePbsGanm5+fRdZ07d+5wxm63o5Sis7OTxcVFkskksViM0dFRzGYztbW1pIvFYuTl5fHw4UOEELeXhhBC3FAej4exsTFCoRBWqxWz2czw8DA9PT34/X7OdHd3Mz4+zvT0NGazmfLycioqKsjJySGdx+PhyZMneL1e7HY7zc3NdHR0oOs6qTweD2NjY4RCIaxWK2azmeHhYXp6evD7/fxXvb29eL1epqamyM/Pp7i4mM+fP/P+/XtKS0tJ1dbWxu/fv2lra+MqGhoaODU7O8tlLBYLgUCAWCzGgwcPyMjIoL29nb6+PlwuF7FYjEQiwan+/n6GhoZ4+fIleXl52O12KioqePz4MWfm5uaor68nVVZWFh8+fCAjI4Pa2lru3btHZWUlx8fHfPz4kczMTNItLCzQ0tKCEOJ20xBCiP+hyclJTk5O0HWdy0SjUQzD4Dxut5t4PM7GxgYrKyskk0l8Ph9KKVL19fXx8+dPPn36RDweZ2pqivNkZ2cTiUQ4ODhgaWmJRCJBb28vwWCQYDBIKrfbTTweZ2Njg5WVFZLJJD6fD6UUZ6LRKIZhkC4ajWIYBqk8Hg+/fv3iy5cvrK+v8+3bN54+fUq6u3fvcqq9vZ2rKCwsxOl08vbtW1JFo1EMwyBdV1cXiUSC5eVltra2+P79Ox0dHfh8Po6OjsjKyuLM4OAgyWSS5eVlDg4OeP36NYZhEAwGOTU6OsqLFy9I53A42N7eZnd3l4WFBfb39/n69StlZWWkW1xcZH9/H5fLhRDidtMQQogbTtM0bDYbDocDpRQXUUpRVVVFdnY2lzGZTDx69AilFP9E0zRsNhsOhwOlFFelaRplZWWUlJRwkYmJCaqrq7FYLFzVyMgIkUiEnZ0d/g2lFLquY7FYuIxSCl3XMZlMpKupqcFkMnGR+/fvU1NTQ25uLhcJBAI0NjZSVFSEEOJ20xBCCHHtHR8fU1dXh81mY3V1Fa/Xy5/gcDhoamrC6/VynWxubhKJRHj16hVCCKEhhBDiXM+fP8fpdHIdaJpGfn4+FouFUChEVVUVf4rf72dvb4/Dw0Oui0gkwszMDAUFBQghhIYQQohzTUxM4HK5uC7evHlDOBymoaGBPyk3N5dwOIzJZOK6cLvdtLa2IoQQpzSEEEIIIYS4wTSEEEIIIYS4wf4GBcWhSyxtrvMAAAAASUVORK5CYII=" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">disp(</span><span class="S14">'see if you like the new phase margin ; press any key'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="3ABEFBF1" data-testid="output_21" data-width="1046" data-height="18" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">see if you like the new phase margin ; press any key</div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">pause</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Construction of the closed-loop system</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">closed=feedback(Gczplantad,1);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">err=1-closed;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Verification of the temporary response</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">grao=tf([1 0],[1,-1],Ts);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">step(minreal(err*grao)*Ts) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">grid</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'error in the ramp response'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="B0609C2E" data-testid="output_22" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="figureElement" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><img class="figureImage figureContainingNode" 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Preparation of data for Simulink </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">disp(</span><span class="S14">'coefficients of the transfer function of the unit gain controller in z'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsTextElement" uid="68A805AE" data-testid="output_23" data-width="1046" data-height="18" style="width: 1076px; max-height: 261px; white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="textElement" style="white-space: pre; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">coefficients of the transfer function of the unit gain controller in z</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Kc=dcgain(Gcz)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="1ADA8167" data-testid="output_24" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Kc = 1</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Zc=zero(Gcz)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="303685E9" data-testid="output_25" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Zc = 0.9553</div></div></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">Pc=pole(Gcz)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsVariableElement" uid="B51AFBF4" data-testid="output_26" style="width: 1076px; white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="variableElement" style="white-space: pre-wrap; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;">Pc = 0.8841</div></div></div></div></div></div><div class = "S0"></div><div class = 'SectionBlock containment'><h1 class = "S1"><span class = "S2"><span class="S0">Exercise 18: Simulation analysis.</span></span></h1><ul class = "S5"><li class = "S6"><span class = "S0"><span class="S0">Compare the bode diagrams of the open-loop system with the designed controller by adding delays of one, two, three, ... sampling periods. </span></span></li><li class = "S6"><span class = "S0"><span class="S0">How many periods of delay can the system sustain while maintaining stability?</span></span></li></ul><div class = "S4"><span class = "S2"><span class="S0">Execute the model P5_Ex19.slx, define the parameters of the designed controller. See the temporary response of the system.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Delays generation</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">unret=tf(</span><span class="S0">[</span><span class="S0">1],[1 0],Ts) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">dosret=tf(</span><span class="S0">[</span><span class="S0">1],[1 0 0],Ts) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">tresret=tf(</span><span class="S0">[</span><span class="S0">1],[1 0 0 0],Ts) ;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S10">% Visualization of the different Bode diagrams</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(unret*Gcz*plantad*Kcontrolador)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">all</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(dosret*Gcz*plantad*Kcontrolador)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">margin(tresret*Gcz*plantad*Kcontrolador)</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'one'</span><span class="S0">,</span><span class="S14">'two'</span><span class="S0">,</span><span class="S14">'three'</span><span class="S0">)</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="01ADC9B3" data-testid="output_27" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="figureElement" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><img class="figureImage figureContainingNode" 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S15"><span class = "S2"><span class="S0">On one hand, by creating more delays, we can observe how the system becomes unstable from delays of 13 sampling periods. On the other hand, simulating the model P5_Ex19.slx we can see how in the response to a ramp type input we get an error of 0.01.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S16">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Use Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S0">o</span><span class="S0">pen </span><span class="S14">P5_Ex19.slx</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">P5_Ex19.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S16">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FileName = </span><span class="S14">'P5_real_ideal.mat'</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> cd(</span><span class="S14">'..'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> FolderName = [pwd filesep </span><span class="S14">'Common' </span><span class="S0">filesep </span><span class="S14">'Resultados' </span><span class="S0">filesep </span><span class="S14">'Prac5'</span><span class="S0">];</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> File = fullfile(FolderName, FileName);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> load(File); </span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S16">end</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"></span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(P5_real_ideal.time,</span><span class="S0">[</span><span class="S0">P5_real_ideal.signals.values(:,2,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">plot(P5_real_ideal.time,</span><span class="S0">[</span><span class="S0">P5_real_ideal.signals.values(:,3,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlim([10 39]); ylim([-3.1 2.1]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">xlabel(</span><span class="S14">'Time (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">ylabel(</span><span class="S14">'Voltage (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0">title(</span><span class="S14">'Reference and ideal position output'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S0">legend(</span><span class="S14">'Reference'</span><span class="S0">,</span><span class="S14">'Ideal Response'</span><span class="S0">);</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div class="inlineElement eoOutputWrapper embeddedOutputsFigure" uid="3C8B82CF" data-testid="output_28" style="width: 1076px; white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><div class="figureElement" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"><img class="figureImage figureContainingNode" 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aJs1KhR7Nq1ixtuuIGKrq4uKvbs2UNbWxttbW3s3r2bst7eXjo6Ong7XV1dVOzZs4e2tjba2trYvXs3Zb29vXR0dDDQeeedx+/93u9R0dXVRcWePXtoa2ujra2N3bt3U9bb20tHRwcDTZgwgWHDhlExcuRIyvr7+yl77LHH6O3tpeyss86i4pRTTuGBBx6gra2N0047ja6uLir27NlDW1sbbW1t7N69m7Le3l46Ojp4OxMmTKChoYEdO3bQ1NREfX0969ato+zo0aMca8KECQwbNoyKkSNHUtbf30/Z1q1beeONNyg777zzqKitrWXixIkcj61bt/LGG29Qdt5551FRW1vLxIkTOVZXVxcVe/bsoa2tjba2Nnbv3k1Zb28vHR0dlE2YMIGGhgZ27NhBU1MT9fX1rFu3jrKjR49yvC644AJOPvlkKurr66l47LHH6OjoYP/+/ZTNnj2bgaZMmULZkSNH2L59OxMmTODUU0+lbOHChZx66qn8wR/8AWvXrqW7u5tfp46ODvbv30/Z7NmzGWjKlCmUHTlyhO3btzPQhAkTGDZsGBUjR46krL+/n7fS0dHB/v37KZs9ezYDTZkyhbIjR46wfft2fhMuuOACTj75ZCrq6+upeOyxxygUCm+uikKh8CsbMmQI69ato729nU2bNlG2Z88ePvWpT3Hw4EEq+vr6qFi4cCGzZ89m9uzZ3HjjjVR0d3fzdvr6+qhYuHAhs2fPZvbs2dx4441UdHd3M9BJJ53EQH19fVQsXLiQ2bNnM3v2bG688UYquru7GWjo0KEMVFNTw0AHDx6kora2lrfS19dHxcKFC5k9ezazZ8/mxhtvpKK7u5u3s3z5ckaOHMmll17KP/7jP/K+972PD33oQ7yVoUOHMlBNTQ0D9fX1UVFdXc1AtbW1HI++vj4qqqurGai2tpZj9fX1UbFw4UJmz57N7NmzufHGG6no7u6mbPny5YwcOZJLL72Uf/zHf+R973sfH/rQh/hVVVdXM9DgwYOpOHr0KN3d3VTU1tYyUG1tLRV9fX1UV1ezZcsWPvWpTzFo0CDKMpPbb7+ds846i/nz5/Pr0t3dTUVtbS0D1dbWUtHX18dAQ4cOZaCamhp+me7ubipqa2sZqLa2loq+vj5+mb6+Pt6t6upqBho8eDAVR48e5e309fVRKPxvVUWhUPi1+su//EsWLFhA2XPPPccXv/hFKoYPH07Frl27KJVKlEolSqUSpVKJUqlEQ0MDb2f48OFU7Nq1i1KpRKlUolQqUSqVKJVKNDQ0MNCgQYMYaPjw4VTs2rWLUqlEqVSiVCpRKpUolUo0NDTwbpx++ulU7N27l4Gam5tpb2/nxRdfZPjw4VTs2rWLUqlEqVSiVCpRKpUolUo0NDTwVp599lkWLFjAkSNHWLp0KYcPH+bBBx9k8uTJlNXW1vJufehDH6Li4MGDDHTgwAGOx4c+9CEqDh48yEAHDhzgWMOHD6di165dlEolSqUSpVKJUqlEqVSioaGBZ599lgULFnDkyBGWLl3K4cOHefDBB5k8eTJltbW1HK8XX3yRgXp6eqg4+eSTGTNmDBV79uxhoAMHDlBRV1dH2ZgxY7j//vv52c9+xt13382cOXM49dRTKVu5ciV9fX38OowZM4aKPXv2MNCBAweoqKur41c1ZswYKvbs2cNABw4coKKuro5j9ff3M9DBgwd5t1588UUG6unpoeLkk09moP7+fgY6ePAghcL/VlUUCoVfu3/4h3/gjDPOoOyuu+7i3nvvpay+vp5BgwZR1tbWRsXy5csZN24cV1xxBUePHuXt1NfXM2jQIMra2tqoWL58OePGjeOKK67g6NGjvJ36+noGDRpEWVtbGxXLly9n3LhxXHHFFRw9epR34/TTT+f3f//3KVu5ciWHDh2i7IEHHuC6666jsbGRZ599lvr6egYNGkRZW1sbFcuXL2fcuHFcccUVHD16lLeyc+dOKhobG6mqqqLs6aefpqy/v593a+zYsYwaNYqyW265hcOHD1PW2dnJAw88wPEYO3Yso0aNouyWW27h8OHDlHV2dvLAAw9wrPr6egYNGkRZW1sbFcuXL2fcuHFcccUVHD16lJ07d1LR2NhIVVUVZU8//TRl/f39HK+uri42bdpEWX9/P2vXrqVs+PDhTJo0idNPP50zzjiDsubmZl5++WXKDhw4QHNzM2URQX19Pffeey/jx4/nfe97HwcPHuSzn/0st912G1//+tep6O/v553o7e3l7Zx++umcccYZlDU3N/Pyyy9TduDAAZqbmymLCOrr6/lVnX766ZxxxhmUNTc38/LLL1N24MABmpubKYsI6uvrqaitraWsq6uLo0ePUvbCCy/Q2dnJW+nt7eXNdHV1sWnTJsr6+/tZu3YtZcOHD2fSpEmU1dbWUtbV1cXRo0cpe+GFF+js7OSt9Pb2UiicyKooFAq/drW1taxbt46KOXPmcOjQIerq6rjmmmsoW7p0Keeffz4XX3wxCxYs4KmnnmLYsGFUV1fzdurq6rjmmmsoW7p0Keeffz4XX3wxCxYs4KmnnmLYsGFUV1fzdurq6rjmmmsoW7p0Keeffz4XX3wxCxYs4KmnnmLYsGFUV1fzbi1fvpyyp556ilGjRjFp0iT+6q/+irKPfOQjXHjhhdTV1XHNNddQtnTpUs4//3wuvvhiFixYwFNPPcWwYcOorq7mrfzRH/0RFZ/5zGf40pe+xMc+9jF27NhB2S9+8QuOx5IlSyh74oknGD16NBdeeCGTJk2irq6O47VkyRLKnnjiCUaPHs2FF17IpEmTqKur41h1dXVcc801lC1dupTzzz+fiy++mAULFvDUU08xbNgwqqur+aM/+iMqPvOZz/ClL32Jj33sY+zYsYOyX/ziFxyvQYMG8dd//ddMmjSJ0aNHs3nzZsquvfZaqqqqKFuzZg2DBg3ipZde4rTTTmPy5Ml88IMf5JlnnqGmpoZvf/vblJ155pn85Cc/4fXXX+fP//zPmTlzJjNmzOCqq66i7JOf/CRDhgzh7UQEZT09Pbz//e9n5syZvJU1a9YwaNAgXnrpJU477TQmT57MBz/4QZ555hlqamr49re/za/LmjVrGDRoEC+99BKnnXYakydP5oMf/CDPPPMMNTU1fPvb32agiRMnUvbSSy8xbtw4Lr74YsaPH8+QIUM4VkRQ1tPTw/vf/35mzpzJQIMGDeKv//qvmTRpEqNHj2bz5s2UXXvttVRVVVE2ceJEyl566SXGjRvHxRdfzPjx4xkyZAjHigjKenp6eP/738/MmTMpFE5EVRQKhd+IP/uzP2PRokWU/c///A/XXXcdZcuWLWPRokUMHTqUhx56iLvvvpuamhrmzp1La2sr78SyZctYtGgRQ4cO5aGHHuLuu++mpqaGuXPn0trayjuxbNkyFi1axNChQ3nooYe4++67qampYe7cubS2tnI8LrnkEtavX8+oUaPo7u5m+/btvPHGG3zyk5/kX//1X6mqqqJs2bJlLFq0iKFDh/LQQw9x9913U1NTw9y5c2ltbeXtjBkzhttvv53BgwdjmzVr1lBTU8MPf/hDynp6enj++ed5t2bNmsXNN9/M4MGD2bNnD/fffz/Tpk1j6dKlHK9Zs2Zx8803M3jwYPbs2cP999/PtGnTWLp0KW9m2bJlLFq0iKFDh/LQQw9x9913U1NTw9y5c2ltbaVszJgx3H777QwePBjbrFmzhpqaGn74wx9S1tPTw/PPP8/xuOSSS7j66qvp6Ohg9+7d1NTUsGTJEhYvXkzF5MmTeeSRR/j4xz/OkSNH2Lp1K729vXz4wx9my5YtnHvuuZSNHDmSRx55hIkTJ/LTn/6Uf/qnf+KOO+7g1VdfZfr06WzYsIFfZurUqUQEZd3d3XR3d/NWJk+ezCOPPMLHP/5xjhw5wtatW+nt7eXDH/4wW7Zs4dxzz+XXZfLkyTzyyCN8/OMf58iRI2zdupXe3l4+/OEPs2XLFs4991wGampq4pJLLqHsueeeY9OmTSxevJgpU6ZwrKlTpxIRlHV3d9Pd3c1Al1xyCVdffTUdHR3s3r2bmpoalixZwuLFi6loamrikksuoey5555j06ZNLF68mClTpnCsqVOnEhGUdXd3093dTaFwIqqiUCgctw0bNlAqlXj11Vd5M83NzZRKJUqlEt/4xjeoaG5u5tChQ3R1dfHoo4/y2muvceutt1JdXU3FtGnTKJVKlEol3kxzczOHDh2iq6uLRx99lNdee41bb72V6upqKh588EFKpRIbNmzgzTQ3N3Po0CG6urp49NFHee2117j11luprq6mYuPGjZRKJTZt2sRAGzZsoFQqsWnTJgaaMmUK//3f/81//ud/8tBDD9Hb28sDDzzAKaecwkDNzc0cOnSIrq4uHn30UV577TVuvfVWqqur+WVmzZrFoUOH2L59Oz/96U/p6OjgkksuoVQqUSqV+MM//EPKNm7cSKlUYtOmTQy0YcMGSqUSmzZtYqBrrrmGQ4cOsXXrVn72s5/R1tbGzJkzKZVK7Nu3j7ezceNGSqUSmzZtYqBrrrmGQ4cOsXXrVn72s5/R1tbGzJkzKZVK7Nu3j2M1Nzdz6NAhurq6ePTRR3nttde49dZbqa6upmLWrFkcOnSI7du389Of/pSOjg4uueQSSqUSpVKJP/zDP6Rs48aNlEolNm3axDu1YsUKfv7zn7N161Zee+01rr/+eo5VX19PZ2cn3d3dPPzww7zyyis8++yz1NfXM9DYsWPZtm0bvb29PPzww/z7v/87fX19rFu3jpNPPpmBNm7cSKlUYtOmTVScdtpp7Nq1i8cffxzbbNy4kbKNGzdSKpXYtGkTA9XX19PZ2Ul3dzcPP/wwr7zyCs8++yz19fUMtHHjRkqlEps2bWKgDRs2UCqV2LRpE79MfX09nZ2ddHd38/DDD/PKK6/w7LPPUl9fz7Fqa2v54Q9/yCuvvMLWrVs5dOgQixcv5lvf+halUomNGzdScdppp7Fr1y4ef/xxbLNx40aOtWLFCn7+85+zdetWXnvtNa6//noGqq2t5Yc//CGvvPIKW7du5dChQyxevJhvfetblEolNm7cSMVpp53Grl27ePzxx7HNxo0bKRRORFUUCoX/J6qqqhg3bhwTJkygurqa41FVVcW4ceOYMGEC1dXVHI+qqirGjRvHhAkTqK6u5tfl9NNP59xzz6W2tpa3UlVVxbhx45gwYQLV1dW8G9XV1dTX1zNy5Eh+naqrq5k0aRInnXQSvy7V1dVMmjSJk046iXeiqqqKcePGMWHCBKqrq3kz1dXV1NfXM3LkSH7dhg0bxqRJk6iurubtnHTSSUyePJm6ujreTm1tLZMnT+bMM8+kqqqKd6OqqoqPfvSjjBkzhnfqpJNOYvLkydTV1fGbdtJJJzF58mTq6ur4Zerq6pg0aRLV1dW8naqqKj760Y8yZswY3sqwYcOYNGkS1dXVvJW6ujomTZpEdXU1b6eqqoqPfvSjjBkzhkLhRFVFoVAoFAqFQqFwAquiUCgUCv+rNTQ08OUvf5kLLriAwm+nhoYGvvzlL3PBBRdQKBTevSoKhUKh8L/al770JVavXs3MmTMp/Hb60pe+xOrVq5k5cyaFQuHdq6JQKBQKhUKhUDiBVVEoFAqFQqFQKJzAqigUCoVCoVAoFE5gVRTeM9OmTUMSkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQsu+/AwAACAASURBVBKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJDFt2jQK/1cVhffMjh07sI1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjmzLb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxTZltbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9uU2cY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW3KbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxjZltrGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2ttmxYweF/6uKwrt25MgROjs72b17N4VCoVAoFAqF325VFN6x1157jQULFvAnf/InTJ8+nU996lOce+65dHZ2UigUCoVCoVD47VRF4R372te+xpYtW1i9ejX/8R//wcMPP0xE8MUvfpH/+Z//oVAoFAqFQqHw26eKwjty5MgR7r//fj7/+c9z3nnnUVVVxSmnnMLNN9/M66+/zubNmyn89pk6dSqF997UqVMpvLemTp1K4b03depUCu+9qVOnUii8G1UU3pHXX3+d5cuXc+GFFzLQ7/7u71L26quvUvjtM23aNArvvWnTplF4b02bNo3Ce2/atGkU3nvTpk2jUHg3qii8IyeddBINDQ2ccsopDPS9732PskmTJlEoFAqFQqFQ+O1TReG4PfXUU3zjG9/gL/7iL/jYxz7GOyEJSUhCEn//939PZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZ7Nm+naobbyQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMZM/27fR961tkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmfR961vs2b6dzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lM9mzfTt+3vkVmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZyU+//316/s//ITPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8zk7//+75GEJCQhicL/r4rCcXn88ceZNWsWY8aMYdmyZbxTtrGNbWzzd3/3d0QEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEcGoo0f5/e98h4ggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCUX/3d5y6cycRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBEEMGbpUkYdPUpEEBFEBBFBRBARRAQRQUQQEUQEEUFEEBFEBBHx/7EHN7B61/X9/5/fy95Ju1pxZ9CW2teO2jcDR3BGYGt6zvdnEOZpU0rDsh/HuWt4RidzfwOkKfltg1JYMkuJZoupWavSA6bTelNoBqbpotfliFq8gVq28dYzfDEFbI461h617Tq//5wlZ2MOtMX2GjefxwNJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISZ42N0X/nnUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkMSZf/VXLHr0USQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSOLGG28kM8lMMpPMpPgvLYoTds8993DVVVfxhje8gQ9/+MOcdtppFM9DnQ7F/wKbosdsiv8Fo6MUPWZDp0NRnKgWxQnZvHkz69at4/LLL2fr1q2cdtppFM9T3S5Fj3U6YFP0WKdD0WM2dDoUPWZTFM9Fi+K4bd++nb/4i7/g+uuv55ZbbqF4HrPBpuixTgckih7rdil6zAaJosc2bKAonosWxXF58skn+fM//3Ne85rXcOaZZ3LPPfdwzz33cM8993DPPffw4IMPUjyPdDogUfRYtwt1TdFDNtgcvugiip/P29/+diKCiCAiiAgigoggIogIIoKIIP7gD4gZMzj3tNOICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggnniCWLKEC++7j4ggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigre//e0Uz12L4rh88Ytf5OjRo/zTP/0T69atY926daxbt45169axbt06PvnJT1I8j4yOwvr1FD1kgw2DgxQ9tG0b1DXFz++BBx4gM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwykwceeIDiuWtRHJfLL7+czCQzyUwyk8wkM8lM/uzP/oyfxoaDBy+n6AEbbKhrtvF72BS9YIOEEX/27RGKHul2od3GiG0dURRFUfxPLYqe+d73/j+KHrBBwoaruINt2yh6YcMGGBxkm2s2fvE3sSlONRtsqGuu4g66j4miKIrif2pR9IQE//ZvCyl6oNOBwUFs/sNjj1H0gg11TbdL0Ss2SNjwxS/OotOhKIqieAYtiuLFptuFumbDBvg9tlH0gM0kq8Yd83tso9OhONU6HRgcpNOBmg42RVEUxTNoUfTM9OmPY1OcSjbYWDWdDgzSxaY41bZtg3YbG4QpeqTbhbpmdBTWs4GiKIrimbUoiheTTgckbJBAmKIHul2oa0ZHYVCm6AEbbKwaGy666DBFURTFM2tR9My0aY9jU5xKo6Owfj2dDrTbIIxNcSrZYENdY0Ndw2KMTXEqdTrQbmODxH8QxqYojsuGDRtYvXo1q1evZvXq1axevZorrriCkZERvvSlL3EiHn/8cQYHB5k3bx5/8id/QlE837Qoemb69MexKU4VGzodkOh2oa5BGJviVLJBwgYb6kGKXhgdhbqm04HBQYrihN1///1873vfY/ny5Sxfvpzly5dz0UUX8fDDD3PBBRfwhS98geN1yy23MD4+zp133smVV15JUTzftCiKFwsbJIywoa4pemHDBhgcZNs2qGv+g3iMxx6jOFVssKGu6XahrvkPwtgUxXFbsmQJIyMjjIyMMDIywtq1a9m7dy/nnnsu73//+zle4+PjvOlNb2LlypW8/vWvpyieb1oUxYtFpwPtNjZIFL1iQ13T7UK7TdELNkjYYENdUxQn1atf/WoOHTrElMOHD7Nu3ToWLVrEvHnzWLVqFWNjY0y68sor+cIXvsBnPvMZVqxYweHDhzl8+DDr1q1j0aJFzJs3j1WrVjE2NsbTrVixgr/927/ll3/5lznvvPOYmJjg8OHDrFu3jkWLFjFv3jxWrVrF2NgYU1asWMGuXbt4y1vewty5cznvvPO4++67mTIxMcH111/PwoULmTdvHldeeSWPP/44Uw4fPsy6detYtGgR8+bNY9WqVYyNjVG8+LUoiheLbhfqmg0bYP16/pMENsWpYDPJqrGhril6odOBwUE6HZD4TxLYFCfTzTdDVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVUFVQVVBVcHNN3M8jh07xh133MGnP/1p6rpmyvDwMPfddx/bt29n3759LFiwgKVLlzI+Ps7IyAj9/f0sWbKEP/zDP2TatGkMDw9z3333sX37dvbt28eCBQtYunQp4+PjTLn33nu59tprue6663jb297GnDlzGB4e5r777mP79u3s27ePBQsWsHTpUsbHx5l07733cs011zA8PMwnPvEJ3vjGN3LFFVfw5JNPMumKK67gM5/5DJ/4xCd44IEH+MEPfsBb3vIWpgwPD3Pfffexfft29u3bx4IFC1i6dCnj4+MUL24tip6ZPv3b2BSngg02Vk2nAxJFL2zbBnWNDRL/6ayzjmFTnCrdLtQ1o6Owfj3FqXTzzdA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA00DTQNNA0cPPNPJMPfvCDVFVFVVVUVcX06dO57rrruOWWW7j++uuZ9NBDD7Fz50527NjBsmXLWLx4MZs3b6avr48tW7Zw8cUXc8YZZ3DWWWcxNDTEww8/zM6dO9mxYwfLli1j8eLFbN68mb6+PrZs2cLTve1tb+Pd7343N9xwAw899BA7d+5kx44dLFu2jMWLF7N582b6+vrYsmULU6677jquuuoqLrnkEj7wgQ/w7//+7zz44IM8/PDD7N69m+3bt/Prv/7rLFmyhK1bt/KmN72J8fFxHnroIXbu3MmOHTtYtmwZixcvZvPmzfT19bFlyxaKF7cWRfFiYIOEDRJIFL3Q7UK7zegoDA5S9IINNlaNDXVNUTxnb33rW9mzZw+7d+/mPe95D694xSt43/vex4033siU/fv3M2njxo20223a7TbtdptDhw6xb98+ftL+/fuZtHHjRtrtNu12m3a7zaFDh9i3bx9Pd+655zJl//79TNq4cSPtdpt2u0273ebQoUPs27ePKa997WuZMmvWLCYdPXqUf/zHf2TmzJmcc845TDnjjDMYHR2lr6+P/fv3M2njxo20223a7TbtdptDhw6xb98+ihe3FkXPTJ/+OI89RnEqbNgA69fT6UC7TdELNthQ19hQ1xS90OmAhA0SRfFzWbhwIRdffDGXXHIJN9xwA+95z3t4xzvewcc+9jGmHDt2jJkzZzIwMMDAwAADAwMMDAxw0003sWbNGn7SsWPHmDlzJgMDAwwMDDAwMMDAwAA33XQTa9as4emmTZvGlGPHjjFz5kwGBgYYGBhgYGCAgYEBbrrpJtasWcPPcvToUVqtFs/m2LFjzJw5k4GBAQYGBhgYGGBgYICbbrqJNWvWULy4tSiKFzobOh2Q6HahrvlvJLApTjYbJGywoa75T2eddQyb4lQYHYX16+l0YHCQ/2axwKYonrN3vvOdXHrppVxzzTUcOHCASX19fRw5coShoSFGRkYYGRlhZGSE+fPnM3v2bH5SX18fR44cYWhoiJGREUZGRhgZGWH+/PnMnj2bZ9PX18eRI0cYGhpiZGSEkZERRkZGmD9/PrNnz+ZnOeuss/jRj37EgQMHmHLs2DHe8pa38KUvfYm+vj6OHDnC0NAQIyMjjIyMMDIywvz585k9ezbFi1uLonihs0HCCBvqmqIXRkdhcJBt26CuKXrBBhvqmm4X6pqiOOm2bt3K0aNHufbaa5k0NDREf38/V199NRMTE0zatWsXy5cvZ3x8nJ80NDREf38/V199NRMTE0zatWsXy5cvZ3x8nGczNDREf38/V199NRMTE0zatWsXy5cvZ3x8nJ9lcHCQX/mVX+Haa6/l6NGjTPrTP/1THn74YX71V3+VoaEh+vv7ufrqq5mYmGDSrl27WL58OePj4xQvbi2K4oWu04F2Gxskil6xoa7pdqHdpugFGyRssKGuKYqTbtGiRdxyyy189KMfZdeuXbRaLfbs2cP4+Dinn346c+bMYXh4mE2bNrFy5Up+UqvVYs+ePYyPj3P66aczZ84choeH2bRpEytXruTZtFot9uzZw/j4OKeffjpz5sxheHiYTZs2sXLlSo7H3/zN3/CNb3yDuXPnctppp/Gxj32MT33qU8yaNYtWq8WePXsYHx/n9NNPZ86cOQwPD7Np0yZWrlxJ8eLWouiZadMex6Y42bpdqGs2bIB2m/9BApviZLLBxqqxoa75b8466xg2xcnW6cDgIJ0OSPwPEjz2GEVxXPbs2cPWrVt5Jtdffz1N07By5Uom9ff3s3fvXiYmJshMDh48yNq1a5nyqU99itHRUab09/ezd+9eJiYmyEwOHjzI2rVrebqmaRgaGuLp+vv72bt3LxMTE2QmBw8eZO3atUxpmoZVq1bxdE3TsGrVKib19/fz5S9/maeeeopvfvObfPOb3+TXf/3XmdLf38/evXuZmJggMzl48CBr166lePFrURQvZDbYWDWdDkgUvbBtG9Q1NkgUvdLtQl0zOgrr11MUPTdjxgwWLlxIq9XieMyYMYOFCxfSarU4ETNmzGDhwoW0Wi2ei1mzZnHGGWfwbGbMmMHChQtptVoULw0tiuKFzAYJGySoa4pe6Hah3WZ0FAYHKXrBBhurxoa6piiKojhOLYrihWzDBmi36XSg3aboBRtsqGtsqGuKXuh0QMIGiaIoiuIEtCh6Zvr0x7EpTqZOByS6XahrntHixWBTnCw2SNhgQ13zjCSwKU6WbhfWr6fTgcFBiqIoihPQoiheqDodkLBqbKhril4YHYXBQbZtg7qm6AUbOh2oa7pdqGuekRaDTVEURfETWhTFC1WnA+02NkgUvWJDXdPtQrtN0Qs2SNhgQ11TFEVRnIAWRc9Mn/44NsXJ0u1CXbNhA7TbFL1gg41VY0NdU/RCpwODg3Q6IFEURVGcoBZF8UJkgw11TacDEs9KgsceozgZtm2DusYGiZ9KApviZOh2oa4ZHYX163lWEtgURVEUP6FFUbwQ2SDR6YAEdU3RC90utNuMjsLgIEUv2GBj1dhQ1xTFSbF582Y2bNjAT7N69Wq+8pWvcLKsXr2ar3zlKzybDRs2sHr1alavXs3q1atZvXo1V1xxBSMjI3zpS1+iKJ6rFkXxQrRhA7TbdDrQblP0gg021DU21DVFL3Q6IGGDRFGcNA8++CD3338/P83OnTs5cOAAJ8vOnTs5cOAAz+b+++/ne9/7HsuXL2f58uUsX76ciy66iIcffpgLLriAL3zhCxTFc9Gi4Bvf+Abf//73KV5AOh2Q6Hahril6wQYJG2yoa4peGB2F9evpdGBwkKJ40VuyZAkjIyOMjIwwMjLC2rVr2bt3L+eeey7vf//7KYrnosVL3BNPPMGVV17JV7/6VY7H+eefT0QQEUQEEUFE8PnPf57jIYFN8fPodEDCqrGhril6odOBwUG2bYO65meSwKb4edjQ6UBd0+1CXfNTSWBTFM/J+Pg4V111FfPmzePss8/m7rvv5icdPnyYdevWsWjRIubNm8eqVasYGxtjymOPPUa73aavr4+5c+fya7/2a9x1112cDK9+9as5dOgQUw4fPsy6detYtGgR8+bNY9WqVYyNjTFl165dXHjhhcydO5clS5Zw6623MmXFihX89V//NUuXLmXu3LksW7aMr3zlKzzdwYMHufbaa5k/fz7z5s1j1apVPPLII0xZsWIFu3bt4i1veQtz587ltEUA9AAAIABJREFUvPPO4+6772bKrl27uPDCC5k7dy5Llizh1ltv5ekOHz7MunXrWLRoEfPmzWPVqlWMjY1RnBotXsLGxsb47d/+bQ4dOsTxGB8f50c/+hG/93u/x2233cZtt93Gbbfdxm233cbrXvc6ih7pdKDdxgaJn0kCm+Ln1e1CXdPtQrtN0Qs21DU22FDXFMUps2LFCh599FE6nQ5bt27lj//4j/lJw8PD3HfffWzfvp19+/axYMECli5dyvj4OD/+8Y9585vfzA9+8AP27NnDl7/8ZQYGBvjd3/1dHn30UZ6rY8eOcccdd/DpT3+auq6ZMjw8zH333cf27dvZt28fCxYsYOnSpYyPjzM2NsZll13GmjVr+Pa3v8173/teNm3axIc+9CEm3XvvvbzrXe/ihhtu4IknnuDCCy/k//yf/8Pjjz/OlLe+9a3cf//97Nixg89//vO88pWv5Dd+4zf41re+xaR7772Xa665huHhYT7xiU/wxje+kSuuuIInn3ySsbExLrvsMtasWcO3v/1t3vve97Jp0yY+9KEPMWV4eJj77ruP7du3s2/fPhYsWMDSpUsZHx+nOPlavAT927/9G+9///u5/PLLOfPMMzle+/btY9Lv//7vc9lll3HZZZdx2WWXcdlll9HX10fRI90u1DUbNkC7TdELNthYNTbUNUUvdDowOEinAxLF/4Kbb4aqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgqqCqoKqgptv5qf6u7/7Ox544AE+8pGPcP7557Ns2TK2b9/O0z300EPs3LmTHTt2sGzZMhYvXszmzZvp6+tjy5Yt/Ou//iuXX345H/jABzj//PNZsmQJ733ve5n0yCOPcLw++MEPUlUVVVVRVRXTp0/nuuuu45ZbbuH6669n0kMPPcTOnTvZsWMHy5YtY/HixWzevJm+vj62bNnC17/+dV72spdx8cUXM3fuXFasWMHu3bt505vexJQ//uM/ZuXKlcyZM4fbb7+dV7/61Xzwgx9k0mc/+1k+//nP88lPfpJly5ZxzjnncMcdd7BgwQLe9773MeW6667jqquu4pJLLuEDH/gA//7v/86DDz7I17/+dV72spdx8cUXM3fuXFasWMHu3bt505vexKSHHnqInTt3smPHDpYtW8bixYvZvHkzfX19bNmyheLka/ES9IMf/IDR0VGuv/56tm7dyvF65JFH+IVf+AX6+voo/pfYYENd0+mARNEL27ZBXWODRNEr3S7UNaOjsH49xf+Cm2+GpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGmgaaBpoGbb+anGhsb45WvfCWLFi1iyvnnn8/06dOZsn//fiZt3LiRdrtNu92m3W5z6NAh9u3bxytf+Upuv/12HnzwQf7yL/+Sq666iqVLl3Ki3vrWt7Jnzx52797Ne97zHl7xilfwvve9jxtvvJEp+/fvZ9LGjRtpt9u0223a7TaHDh1i3759XHLJJZx//vm85jWvYenSpaxfv56Xv/zlnHfeeUw5//zzebo3vOEN7N+/n0m2eeUrX8nixYt5ugsvvJCxsTGmvPa1r2XKrFmzmHT06FEuueQSzj//fF7zmtewdOlS1q9fz8tf/nLOO+88Ju3fv59JGzdupN1u0263abfbHDp0iH379lGcfC1egmbPns3nPvc5rrrqKk7E17/+dRYtWkS73eacc87hnHPO4e1vfzu2KXrEBolOBySoa4pe6Hah3abTgcFBil6wwcaq6XSgrimKnps2bRpTjh07xsyZMxkYGGBgYICBgQEGBga46aabWLNmDT/84Q/5tV/7NUZGRvjSl77Er/7qr3LbbbdxohYuXMjFF1/MJZdcwg033MB73vMe3vGOd/Cxj32MKceOHWPmzJkMDAwwMDDAwMAAAwMD3HTTTaxZs4Zp06bxwAMPcPfdd3P22Wdz55138oY3vIHbb7+dKdOnT+fZHDlyhJe97GU8V9OmTeOBBx7g7rvv5uyzz+bOO+/kDW94A7fffjuTjh07xsyZMxkYGGBgYICBgQEGBga46aabWLNmDcXJ1+IlaPr06bz85S/nRO3bt49HH32Uiy66iA984APccsst/PM//zPDw8McOHCA43HgwAMsW/Z2IoKI4NZbb8U2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trHN4f/3/3jq/PO5556nWLXqKWxjG9vYxja2sY1tJk2b9m3Gxo5hG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sc2377+fY2NjWGL37sOcffZ3sI1tbGMb29jGNt/97nf5wQ9+wMTEBN/97nexjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2Oa7n/gEh888ky9+8TtcdNFhbGMb29jGNraxjW2OHDnCd77zHSbdf/+3sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb29jGNraxjW1sYxvb2MY2trGNbWxjG9vYxja2sY1tbGMb27yUnXHGGRw8eJCDBw8yZXx8nB/96EdM6evr48iRIwwNDTEyMsLIyAgjIyPMnz+f2bNns3PnTr72ta/x0EMPcdddd3H99dfT39/Pz+ud73wnl156Kddccw0HDhxgUl9fH0eOHGFoaIiRkRFGRkYYGRlh/vz5zJ49m0ceeYSPf/zjrFixgg996EN885vf5LrrrmPjxo1MeeKJJ3i6sbEx+vv7mfRLv/RL/Mu//AsHDx7k6cbGxujr6+NneeSRR/j4xz/OihUr+NCHPsQ3v/lNrrvuOjZu3Mikvr4+jhw5wtDQECMjI4yMjDAyMsL8+fOZPXs2z8Y2trGNbWxjG9vceuutRAQRQUQQERT/pUVx3G688Ua2b9/ONddcw+DgIFdccQV33HEH3/ve99i2bRvH48ILL+Cuu+4iM8lMbrzxRiQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUnM+s53mHfZZTz00Dwuu2wekpCEJCQhCUlIQhKTzjrrLKZNm4YkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEmcdO8a0174WEN/5ziz+7/89E0lIQhKSkIQkJPGLv/iLzJ49m3PPncPExC8iCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkMQv3nsvs/78z3nkkTO59NJZSEISkpCEJCQhCUnMnDmTM888EwnOOussJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEi9lv/mbv8nixYu55pprOHbsGEePHuXd7343Tzc0NER/fz9XX301ExMTTNq1axfLly9nfHycadOmMenAgQNMOnjwIO9617uYdOzYMX4eW7du5ejRo1x77bVMGhoaor+/n6uvvpqJiQkm7dq1i+XLlzM+Ps6BAwd429vexmc/+1km/fjHP2ZsbIzXv/71TLn11lt58sknmbRlyxa+8pWv8I53vINJK1euZOHChfzBH/wBhw8fZtKWLVv43Oc+xx/+4R/ysxw4cIC3ve1tfPazn2XSj3/8Y8bGxnj961/PpKGhIfr7+7n66quZmJhg0q5du1i+fDnj4+M8G0lIQhKSkIQkJHHjjTeSmWQmmUlmUvyXFsVxu/jiizn33HN5uv7+fl73utdhm+IUs5lk1dhQ1xS90OnA4CDbtkFdU/SCDTbUNd0u1DVFcUq1Wi0+/elPs3//fubMmcPcuXOZP38+M2fOZEqr1WLPnj2Mj49z+umnM2fOHIaHh9m0aRMrV67k8ssvZ2hoiPPOO4++vj4igje/+c2ce+65/OM//iM/j0WLFnHLLbfw0Y9+lF27dtFqtdizZw/j4+OcfvrpzJkzh+HhYTZt2sTKlSsZHBzkxhtv5NJLL2XOnDmcdtppPPHEE9x5551Mef3rX09EMGfOHNavX8+nPvUpzj77bCZNmzaN3bt3k5nMnTuX0047jVtvvZUdO3bwxje+kZ9lcHCQG2+8kUsvvZQ5c+Zw2mmn8cQTT3DnnXcyqdVqsWfPHsbHxzn99NOZM2cOw8PDbNq0iZUrV1KcfC2K4/LUU0/xd3/3d4yPj/NMXvayl1GcYtu2QbuNDRJFr3S7UNd0u9BuU/SCDRI22FDXFMVJt3XrVvbs2cOUJUuW8LWvfY3HH3+cgwcP8t73vpfDhw8zNDTElP7+fvbu3cvExASZycGDB1m7di2TZsyYwa5du/jhD3/IP/zDP/Dkk0/y7ne/m4cffpgbbriBSU3TMDQ0xLPZs2cPW7du5Zlcf/31NE3DypUrmdTf38/evXuZmJggMzl48CBr165lyvr16zl8+DCZyVNPPcWXv/xlFi1axJTh4WG+//3v80//9E88+eSTrFixgqc7++yz+epXv8rBgwf51re+xbe+9S1+67d+iylN07Bq1SqermkaVq1axaT169dz+PBhMpOnnnqKL3/5yyxatIgp/f397N27l4mJCTKTgwcPsnbtWopTo0VxXL7//e/z+7//+3zsYx/j6Z544gkeffRRzjnnHIpTrNuFumbDBhgcpOgFG2ysGhvqmqIXOh0YHMQGiaLoqVe96lXMmDGDn2bGjBksXLiQVqvFT5oxYwZ9fX30yowZM1i4cCGtVouf1Gq1WLhwIbNmzeKZTJs2jTPOOIOfZtasWbzqVa/iuWi1WixcuJBZs2bxbGbMmMHChQtptVoUp06L4hl9/vOf54/+6I/4+7//eyb19/fz5je/mQ9/+MN89rOfZdLY2Bjvete76Ovr43d+53c4HhLYFCfKBhvqGhvqmuMmgU3xXGzbBnWNDRInRILHHqN4LrpdqGs2bID16yl6waZ46Zg5cyatVovipaNF8YyeeOIJ9uzZw3e/+12mbNy4kTe/+c28613vIiJYvnw5L3/5y/nIRz7C3LlzKU4hGyRs/kNdU/RCtwvtNp0ODA5S9IINNlZNpwMSJ0QCm+JEbdtG8dJx+PBhVq5cSfHS0eIlbt68eWQmF198MU93xRVXkJkMDg4yZe7cudx+++38wz/8A5lJZrJ9+3YWLVpEcYpt2ACDg2zbBnVN0Qs2/6Gu6Xahril6wQYJGySQKHqh26UoihevFkXxQmBDXdPtQrtN0Qs2k2ywoa4pemHDBli/nk4H2m2KXrDBpiiKF68WRfF8ZzPJqrGhril6odOBwUE6HZAoesGGTgckul2oa4pesEHiggsuICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoKIICKICCKCiCAiiAgigoggIogIIoILLriA4rlrURTPd9u2QbuNDRJFr3S7UNeMjsL69RS9YIOEETbUNUUvjI7C4CCvec1d/MZvJJlJZpKZZCaZSWaSmWQmmUlmkrt38/c//CG7dydHjyaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmWQmmUlmkplkJplJZpKZZCaZSWaSmeTu3eTRo2QmCxYkf/VXSWaSmWQmmUlmkplkJplJZpKZ5JVXsndoiCuvTK68MslMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk8wkM8lMMpPMJDPJTDKTzCQzyUwyk7vuuoviuWtR9NTixWBTnIhuF+qaTgcGB3lOJLApjpcNNlZNpwN1zQmTwKY4EZ0OtNvYIPGcSGBTnAgb6ppuF9ptTpgENsWJsEHCBhvqmhMmwWOPURTHpUVRPJ/ZYENd0+1CXVP0QqcDdY0NdU3RK489BnXNhg3QblP0gg02Vo0NdU3RC50ODA7S6YBEUZxyLYri+cwGCRtsqGuKXhgdhXabTgcGByl6wYZOB+qaTgckil7Ytg3qGhskil7pdqGuGR2F9espilOuRVE8n23YAIODbNsGdU3RCzbYUNd0u1DXFP8/e/AXsut5EOj+ms8E0zbaHKTOgkZyIZVVKjg9KFIZ4b0RIZ5lBMHqUB+7FTyQfeKBMEJ5+ezJJgeCIEgQZn8v+3QQBpyD4iD343RKq4O0J9rUIleGVJaYKUlNx5SuwjbtgKX0T5omT0LX/fsdoUApUBiD5Qj7DtvGnHA6sRyhoMjBnDAGy/Kau2JZ3ujGYN9h21iOUKAUFIzBcoTrazifubmBbWM5QkHBGOw7jMFyhDlBKVCW5RBXLIdSePpplpejoMhBwRgsR5gTTicKlOUIBXOCsu8wBssRCpSCgjFYjnC5wPnMnLBtLMshrliWN6qbGxiDAuW7olAsL8e+wxhcX8P5zCumUCwvR4ESUjAGr9ijj0KxvByXC5xOzAlj8F1RKJZvp6BgDPYdxuAVUyiW5WW5YlneqPYdto054XRiOUJBkYM5QVmOMCeczxQoy1EKxuBygW1jOUKBUlAwBstyiCuW5Y2ooGAM9h3GYDnCnKAUKCjLEfYdlMsFTieWIxQUOSgYg+UIc8LpRIGyLIe5YlneiAqUgoIxWI5wucD5zJywbSxHKCgYg4IxWI5wcwNjUKAsR9l3GIPra9g2luUwVyzLG9HlAqcTc4KyHKGgYAz2HcZgOUKBUlAwBssR9h22jTnhdGI5QkHBGMwJyrIc5orlUArF8u0UjMHlAucz3zWFYvlWCpSCgjH4rigUy7dzfQ3bxs0NjMF3TeHpp1m+lYKCMdh3GIPlCHOCMicojMGyHOaKZXmjKShyMCeMwXKEOeF0okBZjjInKPsO28ZyhIIxKCgYg++aQrF8K5cLnM/MCdvGd02hWJaX5YpleaO5uYExKBiD5Sj7DmNwfQ3bxnKEOUHJQcEYLEeYEx59lDlBWY5QMCeMwb7DGCwHePuXvsTyVVcsyxvNvsO2MSecTixHKCgYgzlBWY4wJ2wbBcpylH2HMbhc4HxmOULBGBQUjMFygP/nzh24uWGBK5bljaZgDPYdxmA5wpygFCiMwXKEfYcxmBNOJ5YjFBQ5mBPGYDnCnHA6UaAsB/mJf/onUBa4YlneSOYEpaBgDJYjXC5wPnNzA9vGcpSCMdh3GIPlCDc3MAYFY7AcZd9hDK6v4XRiOcKcfPb++2EMFrhiOZRCsXwzc8LpxJygvGoefRSK5RspmBPGYN9hDF41CsXyjcwJSkHBGCxH2HfYNuaE04nlCAUFY1AwBssR5uSPfvAHWb7qimV5I9l3GIPLBc5nliMUjEFBwRgsR7i+hm1jThiDV41CsXwjBQVjsO8wBq8ahWL5RuYEpfiKMXhVKBTLN7Pv/Pmb3sTyVVcsyxtFQZGDOWEMliPMCacTBcpylDlBuVxg21iOUKAUFIzBcoTLBc5nbm5g21iOUFD8+ZvfzPJVVyzLG8XNDYxBwRgsR9l3GIPrazidWI4wJyg5KBiD5QhzwulEgbIcoWBOGIN9hzFYjlCgLP/iimV5o9h32DbmhNOJ5QgFBWNQMAbLEeaEbaNAWY6y7zAG19dwPrMcoWAMCgrGYDnC9TWcTvzv//0TFMs/u2JZ3ggKCsZg32EMliPMCUrxFWOwHGHfYQzmhNOJ5QgFRQ7mBGU5wpxwOlGgLEcpGIP/9b/+b4rln12xHEqhWL5egVJQMAavKoWnn2b5epcLnM/c3MC2sRyhoGAM9h3GYDnCzQ2MQYGCshxh32EMrq/hdGI5QvGSHNy9+3bGYPlnVyzLG8GccDoxJyjLEQrmhDHYdxiDV51CsXytAqWgYAxeVQrF8vX2HbaNOWHbeNU9+igUy9cqKBiDgjF41SkUy9e6uYFto+C++z7L8lVXLK/Y3/zN3/C5z32O5VWw7zAGlwuczyxHKBiDgoIxWI5wfQ2nE3PCGCxHKCgYg32HMViOMCcoxVeMwXKEfYcxmBPe/OaPs3zVFcsr8nd/93f84i/+In/5l3/J8l0qKHIwJ4zBcoQ54XSiQFmOUjAGlwtsG8sRCpSCgjFYjnC5wPnMzQ2MwXKEgoIx2Hd405v+nOWrrli+Y5/5zGf4hV/4Bf7xH/+R5VVwcwNjUDAGy1H2Hcbg+hpOJ5YjFC/JQcEYLEcoOJ2YE5TlCAVzwhjsO2wbyxEKlIKCN7/5z1m+6orlZfvSl77E7//+7/NzP/dz3Lp1i+VVsu+wbcwJpxPLEQoKxqBgDJYj3NzAtlGgLEe5XGAMLhc4n1mOUKAUFIzBcoTrazidmBPGYPkaVywv2xe+8AUulwu/+Zu/yR/+4R+yvAoKCsZg32EMliPMCUrxFWOwHGHfYQzmhNOJ5QgFRQ7mhDFYjjAnbBsFynKUgjG4XGDbWL7GFcvL9pa3vIU/+7M/4wMf+ACv1O3bt7n//s/yIz/y09y+fZsPfehDVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRU3PnYx3jx1i0+8pFn+Mxn7qJRUVFRUVFRUVFRUVFRUVFRUVFR8ZKKZ599lhdeeIGKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiooXn3ySO7/+6/ze7z3Hv/t3z1FRUVFRUVFRUVFRUVFRUVFRUVHx7LPP8oUvfIGKhx9+gf/xP56loqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouKZj3yEu5/5DCkf/vCLvPOdd6ioqKioqKioqKioqKioqKioqKj44he/yJ07d4AoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioePY//SdeeM97+NjH7vDe975IRUVFRUVFRUVFRUVFRUVFRUVFxTPPPMPdu3epeP7553j++eeoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKh48cMf5s4738l/+A8v8u53P0dFRUVFRUVFRUVFRUVFRUVFRUXFc88/z+eff56Ku3fv8swzz1BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFR8f+ez3z2s5/lR/6v3+G///fP8uu/fpvlX1yxvGz3338/b3rTm/huPPXUU7z97W/nT//0T3nqqaf44Ac/iIqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKyq1PfYoHHnuMz3zmEd7xjvtQUVFRUVFRUVFRUVFRUVFRUVFRUXmJynve8zDPPvsgKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioCD3zsY9x673v5xCce4vHHH0JFRUVFRUVFRUVFRUVFRUVFRUXl4Ycf5i1veQsqDz74IA8//DAqKioqKioqKioqKipbqnisAAAgAElEQVQqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKo/cvct973gHIHfuPMD73ncLFRUVFRUVFRUVFRUVFRUVFRUVle///u/n1q1bqLxERUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXl4f/yX3jwN36DT33qFo899gAqKioqKioqKioqKioqKioqKioqjzzyCPfddx8q/+bfPMRzzz2EioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorAA3fucOt97+NjH3uAxx9/CBUVFRUVFRUVFRUVFRUVFRUVFZWH3vpWfvCtb0XlHe+4j7t3H0FFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF5QP/6l/x9n//7/mP//FP+bf/9u089dRTLP/iimV5Pe07jMHlAuczyxEKlJCCMViOcH0NpxM3NzAGyxEKCsZg32EMliMUKHOCwhgsR9h32DbmhNOJ5etcsSyvl4IiBwVjsBxhTtg2CpTlKAVjsO+wbSxHKFAKCsZgOcL1NZzPzAnbxnKEgoIx2HcYg+XrXLEsr5c5YQwKlOUo+w5jcH0N28ZyhOIlOSgYg+UIc8LpxJygLEcomBOUfYcxWI5QoBQUjMHyda5YltfL5QLbxpxwOrEcoaDIwZygLEe4uYExKFCWo+w7jMHlAuczyxEKlJCCMViOcLnA6cTNDYzB8g1csSyvh4KCMdh3GIPlCAVKgcIYLEfYd9g2Lhc4nViOUFDkoGAMliPMCdtGgbIcpWAMnn4ato3lG7hiOZxCcW8rUAoKxuA1pVAs19dwPjMnbBuvuUcfheLeVlAwBnPCGLzmFIp725ygFCjLUfYdxuD6Gs5nXnMKxb2toMjBnDAGyzdwxfKKPPTQQzz11FP8zM/8DMsrMCecTswJY7AcoWBOUPYdxmA5QoFSfMUYLEe4XOB8Zk44nXjNKRT3toIiB3OCshzh5gbGoEBZvokrluX1sO8wBpcLbBvLEQqUkIIxWI5wucDpxM0NbBvLEQoKxmDfYQyWIxQoBWOAshxh32HbuL6G04nlm7hiWY5WUOSgYAyWI8wJ28acoCxHKRiDfYcxWI5QoBQUjMFyhOtr2DbmhNOJ5QgFBWMwJ4zB8k1csSxHmxOUAmU5yr7DGFwucD6zHKGgyEHBGCxHmBNOJ25uYAyWo8wJyr7DGCxHKFDmBIUxWL6JK5blaJcLnM9cLnA6sRyhoMhBwRgsR7i5gTEoUJaj7DuMwb7DtrEcYU5QclAwBssRLhc4nZgTto3lW7hiOZxCcW8qKBiDgjE4hEJx7ypQCpTlKPsO28b1NZzPLEcoKHJQMAbLEeaEbWNOUJajFIzBvsMYLN/CFctypAKloGAMliNcX8P5zJxwOnEYhaef5t5UUORgTlAOo1Dcm+YEpUA5jEJx79p3GIPLBc5nliMUFDkoGIPlW7hiWY40J5xO3NzAtrEcZU5esu8wBssRCpQCBWU5wuUC5zPX13A6sRyhoMhBwRgc5tFHobg33dzAGMwJyvJtXLEsR9p3GIN9hzFYjjAnKDkoGIPlCJcLnE7MCdvGcoSCgjEoGIPlCAVKgbIcZd9h27hc4Hxm+TauWJajFBQ5KBiD5QhzwrZxcwNjsBylYAz2HcZgOUKBMidfMQbLEa6vYduYE04nliMUFDmYE8Zg+TauWJajzAlKgbIcZd9hDPYdto3lCAVFDgrGYDnCnHA6MSdsG8tR5gRl32EMliMUKAVjsLwMVyzLUS4XOJ+5voZtYzlCQZGDgjFYjnBzA2MwJyjLUfYdxmDfYQyWI8wJSg4KxmA5wpxwOjEnnE4sL8MVyzE+8AF+7vOf555VUORgThiD5QgFSoGyHGXfYdu4XOB8ZjlCQZGDgjFYjjAnbBs3NzAGy1H2HcZg32EMlpfhiuVwjz4Kxb2lQClQUA6nUNxbrq9h27hc4HTicArFvaWgyEHBGBxOobi3zAlKgXI4heLes+8wBvsO28ZyhIIiBwVjsLwMVyzLEeaE04k5YdtYjjInKAVjsByhQClQlqNcLnA+c30N5zPLEQqKHBSMweEUnn6ae8vNDYzBnKAsL9MVy3KEfYcx2HcYg+UIc4KSg4IxWI4wJ5xOzAmnE8sRCuYkB3OCshyhQClQlqPsO2wblwuczywv0xXL8lorKHJQMAbLEeaEbePmBsZgOcq+wxjsO4zBcoSCMShQUJYjXF/D6cT1NZxOLEcoKHJQMAbLy3TFsrzW5gRlTlCWo+w7jMG+w7axHKGgyEHBGCxHmBNOJ+aEbWM5ypwwBgVjsByhQClQlu/AFcvyWrtc4HzmcoHzmeUIBUUOCsZgOcLNDYzBnDAGy1H2HcZg32EMliPMCUoOXjIGyxHmhNOJOeF0YvkOXLEcTuHpp7k3FMxJDuYEZTlCgVKgLEfZd9g2LhfYNpYjFBQ5KBiD5QhzwrZxcwNjsBxl32EM9h3GYPkOXLEsr6WCMShQUF43CsW94foaTieur+F04nWjUNwbCoocFIzBcoQ5QSlQlqPsO4zBvsO2sRyhoMhBwRgs34ErluW1NCecTswJ28ZylIIxKBiD5QgFSoHyunr0USjuDZcLnM9cX8P5zOtKofjeV1DkoGAMXjcKxb1hThiDOUFZvkNXLMtrad9hDPYdxmA5QvGSHLxkDJYjzAmnE3PC6cRyhII5ycGcoCxHKFAKlOUolwtsG5cLnM8s36ErluW1UlDkoGAMliPc3MC2cXMDY7AcZd9hDPYdxmA5QsEYFCgoyxGur+F04nKB04nlCAVFDgrGYPkOXbEsr5U5QSlQlqPsO4zBvsO2sRyhoMhBwRgsR5gTTifmhG1jOUrBGBSMwXKEAqVAWV6BK5bltXK5wPnM9TVsG8sRCoocFIzBcoQ5YQzmBGU5yr7DGOw7jMFyhOIlOSgYg+UIc8LpxJxwOrG8Alcsx3j0Ud7+pS9xzyiYE8agQFmOUKAUKMtRLhfYNi4XOJ9ZjlBQ5KBgDJYj3NzAtnFzA2OwHGXfYQz2HcZgeQWuWA6nUHxvK1CKrxiD151C8b3t+hpOJ+aE04nXnULxva2gyMGcoLzuFJ5+mu9tc4JSoCxH2XcYg32HbWM5QkGRg4IxWF6BK+5hX/7yl/n4xz/O5z73OZZX2ZywbdzcwBgsRykYg32HMViOUKAUKCjLES4XOJ+ZE04n3hAUiu9dBUUOCsbgdadQfG+bE8agQFleoSvuUU8++SQ//uM/zi//8i/zkz/5k/zqr/4qn//85/l23v3ud3P79m1u377N7du3uX37Nrdv3+ajH/0oy9d4+mkYg32HbWM5QvGSHBSMwXKEOeF0Yk7YNpYjFMwJyr7DGCxHKFAKlOUolwtsG9fXcDqxvEJX3IP++I//mN/93d/l+vqav/7rv+aP/uiP+PSnP81v//Zv8638wz/8A//0T//Er/zKr/DEE0/wxBNP8MQTT/DEE0/woz/6oyz/R8Gc5KBgDJYj3NzAtjEnKMtR9h3GYN9hDJYjFCghBWOwHOFygdOJOeF0YjlCQcEYFIzB8gpdcQ968sknGWPw8z//81xdXfFjP/Zj/NZv/RZ/8id/QsU388lPfpKX/Nqv/RqPP/44jz/+OI8//jiPP/44b3vb21j+jwKlQFmOsu8wBpcLnM8sRygoclAwBssR5oRtY05QlqMUjMG+wxgsRyhQiq8Yg+UVuuIe88UvfpFPf/rT/PRP/zRf62d/9md5yUc/+lG+mU996lP8wA/8AG9729tYvoXrazifmRNOJ5YjFBSMwZwsR5kTxqBAWY6y7zAGlwuczyxHKChyUDAGyxHmhNOJmxsYg+W7cMU95i/+4i94yQ/90A/xte6//34eeOAB/uqv/opv5tOf/jQ//MM/zLZtvOtd7+Jd73oX73//+6l4uW7fvs373/9+Pv7xP+f27dt86EMfoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKi4pmPfATm5Jn77uPDH36Rd77zDhUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUvqah44YUXePbZZ6moqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouPOxj/HirVt85CPP8Mgjd9GoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKh49tln+cIXvkBFxUsqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKipefPJJ7jz2GP/5Pz/Hu9/9HBUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRVf/OIXuXPnDhXPPvssL7zwAhUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVz3zkI9z9zGf4yH3vYE64775nqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioeOaZZ7h79y4VFS+++CJ37tyhoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouK53/s9XnjPe/jYx+5w69aLVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVDz3/PN8/vnnqXjmmWe4e/cuFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVL374w9x55zv58Idf5LHH7lBRUVFRUVHxoQ99iNu3b3P79m1u377N7du3Wf7FFfeYL3/5y7zk/vvv5+t93/d9H1/60pf4Zj75yU/yt3/7t7z3ve/lD/7gD/id3/kd/uf//J/80i/9En//93/Py/HUU0/x3/7b/8e//tc/wVNPPcUHP/hBVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUHrl7F5S7j/wUd+48wPvedwsVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWVu488goDKgw8+yMMPP4yKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKyq0nn+SBxx7jv/7XR/jVX70PFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlYcffpi3vOUtqKi8REVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF4IE7d7j1vvfxiU88xOOPP4SKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorK93//93Pr1i1UHn74YR588EFUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVB65e5f73vEO7t59BIWf+qlHUFFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFReeSRR7jvvvtQUXnggQe4desWKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioPfeITPPgbv8GnPnWLxx57ABUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZWH3vpWfvCtb0XlkUce4b777kNFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF/f/Zg9tYTcv6XsNnHpk6WkBjQSmFzC9GuwSi4lvUjvH+M1K2jTb0A1ZNizcGG6OOrW1aU23I8sEPW4kx2ZGWUqOuJzEa04a09Q0F5bqVUgTaaK0vixB7TkWCdSRTggjhJXsvE1LT2B3RmXvWDNdxkIQkJCEJSUhCEpKQhCQkIQkBdt5+O/e84FVcf/1OXvWqk0hCEpKQhCQkIQkXXXQRm5ubbG5usrm5yebmJt1/WdD91C666CI+8pGP8IY3vIFhGDjvvPP40Ic+xPe//302Njbo/p/WYBxRSNhWdu0C5ehVxTRBFdtKAsrRRyFBQaGKbg7LJayv0xqMI9tKAsrRR0GhimmCKraNBJSjU2uQoFBF93Na8Aizc+dOttx33338dw888AA7duzgf3L22Wdzxhln8OOe/OQn89SnPhWV7v+ZJqhiuYRhoJuDgmIKhSq6ObQGw4BCwraSgHL0UWgNEqYJqujmoJCgoFBFN4fVCtbXaQ2Gge7ntOAR5tnPfjZbDhw4wI+77777uOeee3j605/OT3LgwAG++MUv8r3vfY+f5FGPehSPeAoKVWypopvDxgZUoZDQzWWaoIrlEoaBbg4KCRIUqujmsFrBMNAaJHRzUFCoYpqgiu7ntOARZseOHZx++ulcddVV/Lgrr7ySLc9//vP5Se644w5e97rX8bGPfYwfd9ttt/Gtb32L008/nUc8hQQFhSq6OUwTjCOtwTDQzUFBoQqFKro5tAbjiEJCNxeFKlYrWF+nm4NCgoJCFd3PacEj0IUXXsjnPvc5VqsVDz74IF/96le55JJLeMlLXkIStlx33XXs3buXr33ta2x58pOfzJ49e/jgBz/INddcw5ZbbrmFN73pTZx44on87u/+Lo94yyWsr9MaJHRzUFCoYpqgim4OrUGC8iNVdHOYJqiiNRgGujkoP1JFa3RzaQ2GAYWE7iBY8Aj08pe/nLe85S1ccsklnHbaaZx33nk87WlP413vehcPue2227jqqqvYv38/D3n3u9/Nnj17eNOb3sTa2hove9nLeMxjHsOHP/xhjj/+eB7RFFqDhNUK1tfp5qCQoKBQRTeH1QrW19nYgCq6OSgoVDFNUEU3h40NSFBIoIpuDtMEVbQGw0B3ECx4hHrDG97A1772NTY3N9nc3OT9738/xx9/PA8577zz2NzcZBgGHnL88cfznve8h69//etsbm6yubnJRz7yEU499VQejgSUo4tCAgmtQUI3h9UKhgGFhG4OCgpVTBOMI90cFBIUFKro5jBNMI5sbEAV3RwUFKqYJqiiOwgWdN3B0BqMIwoJJGw7Cezbx9FFoYrWYBjo5qCQoNAaJHRzWC5hHFFI6OagoFDFNME40s2hNUhQUKiiOwgWdN3BME1QxcYGVNHNQUGhimmCKralBJSjR2swDCgkkLDtJKAcXVqDhNZgGNiWdu0C5eihkKDQGlSxLSWgHD1WK1hfRyGhO0gWdN3PS0GhimmCcaSbw8YGVKGgUEU3h2mCKlqDcaSbQ2uQQBXTBFV0c2gNhgGFhG4OCq1BFcslDAPdQbKg635eCgkKrUEV3RymCcYRhYRuDgoKVUwTVNHNoTUYRxQUqujmME1QRWswjnRzUKjiIVV0B8mCrvt5LZcwjihU0c1BQaGK5RKGgW4OrUGCgkIV3RymCapQSOjmoKBQxTRBFd0cWoNhQEGhiu4gWdB1P6/WIKE1GAa6OSgkPKSKbg6rFayvo5DQzUFBoYrlEtbX6eawsQFVKD9SRTeHaYIqWoOE7iBa0HU/j9YggSqmCaro5tAaDAMKClVsHwnH3HorRx2F1qCK1mAY6OagkLBF6eYyTTCOKN1cFBSqWK1gfZ3uIFrQHRYJKEe+1mAcUVCoopvDNEEVrUFCNweFKrZME1TRzWG5hHFE+ZEqukNNQaGK1mAY6ObQGiRsaQ0SuoNoQdf9PKYJqlBI2NYSUI58CgpVrFawvs62loBy5GsNhgEFhSq2rQSUo0NrkLCxAVV0c1BI2DJNUEU3h9UK1tdRSCChO4gWdN3PSkGhitZgGOjmsLEBVSi0BgndHKYJqlBI6ObQGiRQxTTBOLKtJbBvH0e+1mAYUFCoYltLQDmyKbQGVWxsQBXdQbag635WCglbpgmq6OYwTTCOKCSQ0B1qCgpVtAbDQDeH1mAcUWgNqujmME1QhUJCNweFKrZME4wj3UG2oOt+VssljCMKClV0h5qCQhWtwTjSzaE1SNgyTVBFN4dpgioUqujmoKBQxXIJw0A3h9ZgGFBQqKI7yBZ03c+qNUhQSOjmoJCwZZqgim4OqxWsr6OgUEV3qCkoVNEaDAPdHDY2oIqHVNHNYZqgCoWE7hBY0HU/i9YggSqWSxhHujm0BsOAgkIV3aGm0BpU0RokdHNQSNgyTVBFN4dpgnFEQaGK7lBTUKiiNRgGukNgQdf9LFqDcWRLa5DQzWGaoAqFhG4OClVsWa1gfZ1uDsslDAMKClV0h5qCQhUbG1BFN4fWIGHLNEEV3SGwoOt+FtMEVSgkUEV3qCkoVNEaDAPdHFqDYUChNaiim4NCFQoJ3RwUErZME4wj3RxWK1hfR0Ghiu4QWNAdFgkoRyYFhSo2NmAcOSIkoBy5Njagii3TBFUcEXbtAuXINU1QhULCESMB5cik/EgVyyUMA90cWoNhQEGhiiNCAsqRSaE1SFBI6A6RBV33cCkkbJkmqKKbwzTBOKKgUEV3qCkoVNEajCPdHDY2YBzZolDFESEB5cg1TVCFQkI3B4UEEpZLWF+nO0QWdN3DtVzCMKCgUEV3qCkoVNEaVNHNoTVI2DJNUEU3h2mCKpQfqaI71BQUqmgNhoFuDq3BOKLQGiR0h8iCrnu4FKpQSOjmoJCwZbWCcaSbw2oF6+soKFSxbd1/yimgHPEUFKrY2IBxpJtDa1DFlmmCKro5TBNUoZBAQneILOi6h0P5kSqWSxhHujm0BsOAgkIV3aGm0BoktAYJ3RwUErZME1TRzWG1gnFEQaGK7lBTUKiiNRhHukNoQdc9HBsbMI4otAYJ3RymCapQSOjmoJBAwmoF6+t0c1guYRhQUKiiO9QUFKrY2IAqujkoJGyZJqiiO4QWdN3DMU1QhUICVXSHmoJCFcslDAPdHFqDcURBoYpuDgpVtAYJ3RwUErZME4wj3RyWS1hfR0Ghiu4QWtAdFgkoRxYFhSpag3HkiJKAcuRpDapQaA2qOKIksG8fR55pgioUEro5KD9SxWoF6+t0c2gNhgEFhSq6Q02hNUjY2IAqukNsQdf9tBQStkwTVNHNYbWCcUQhgSq6Q01BoYrlEoaBI04CypFlYwOqUFCo4oiSgHLkmSaoojVI6OagkEDCNME40h1iC7rup7VcwjCg/EgV3aGmoFBFazCOdHNQSFBoDaro5jBNMI4oJHRzUFCoYrWC9XWOOLt2gXJkaQ3GEQWFKrpDbEHX/bQUqtjYgGGgm4NCwpZpgiq6OSyXsL6OQhVU0R1qCgpVLJcwjnRzaA2qUFCoopvDNEEVrUFCN4MF3cP2wAMP8KUvfYk77riDRwzlR6qYJqiim0NrMAy0BgpVdIeaQmuQsFrBMNDNQSFBQeGCC+jmsFrBOKJQRTcHBYUqVitYX6ebwYJtav/+/ezbt49bbrmFb3/72xw4cIDt4PLLL+cZz3gGr3nNa3jhC1/IhRdeyJ133slRb2MDqlBQqKKbwzRBFa3BONLNQSFBwsYGVNHNYbWCYUAhoZuDgkIVyyWMI90cFKpQUKiim8GCbeQrX/kK55xzDmtra+zevZtzzjmHl73sZZx99tk8//nP58wzz2Tv3r3s37+fw+ETn/gE733ve1kul3zjG9/giiuu4Oabb+btb387R71pgnFkYwPGkW4OCooppgmq6ObQGowjClVQRTcHhSqWSxhHujkoJCgoVNHNYbmEYaA1SOhmsmAbuOGGG3je857Hb//2b/PDH/6QPXv28Ld/+7d85jOf4eqrr+Yzn/kMf/mXf8mpp57Ktddey+7du3nFK17BXXfdxZwuv/xyqorzzjuPxWLBGWecwVvf+lauuuoqVI5aCgpVTBNU0c2hNUhQUKiim8M0QRXLJYwj3RwUFFMoXHAB3Rxag2GgNUjo5tIaJKxWsL5ON5MFh9kb3/hGzj//fF772tfyT//0T3zxi1/ksssu47TTTiMJp556Kkk466yz+PjHP86Xv/xlrrnmGhaLBc95znP46Ec/yhzuvfdebr75Zvbs2cOPe+lLX8qW6667jodj1y5QjgwKCa2BQhVHrASUI8NqBevrrFYwjnRzUFBMoXDBBRyxElCODBsbUEVrkNDNZZqgitUK1tfp5tAaJJhCoYpuJgsOo7vvvptf+ZVfYXNzkze+8Y0ce+yx/DROPvlkPvaxj/GP//iPfOELX2AON954I1ue+MQn8uN27NjBzp07+frXv85PY21tjbW1NS699H1ceun7eOc734mKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorKXX/+5xw480z+/M/v4rd+6wAqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioq999/P7feeisqKvfffz+33norKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKrdeey3333IL1x7zFK6++n7OPvtWVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbr/9du69915UVHbuvJ1vfvMeVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRuv/567jnpJK6//nZOOukeVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVH7wgx+wf/9+VFTuuusu9u/fj4qKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiqnvY7UAACAASURBVIqKioqKiorKPZ/5DLf/r//F5Zffw+tffzsqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiq33nor999/PyoqIAoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKrdeey3333IL1x7zFG655X4SUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFROfCf/8md//mfqKgce+x+vva1u1BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFROfB3f8eB3/ot/s//OcBzn3sXKioqKioqKioqKioqKioqKioqKu985ztZW1tjbW2NtbU11tbW6P7LgsPosY99LH/2Z3/Gz+oJT3gCl112GXN44IEH2LJjxw7+u0c96lHcd999/DQ2NzfZ3Nxk7943s3fvm7noootIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJOHb/fg4881xuuulYzj338SQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJOOaYYzjllFNIQhKOOeYYTjnlFJKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhJOuf9+jnnKU7j//lN4ylOO4UUvOoUkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCThpJNO4tGPfjRJSMJJJ53Ezp07SUISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUjCSZdfzs7Xv57LLz+J//2/d5KEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQk4Rd/8Rc54YQTSEISjj32WE444QSSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISAuy8/XbuecGruP32nbzqVSeRhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQknPKiF7Hz9ttJQhKSsCUJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCafccgvHPOUpXH31KZx99jEkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSXj84x7H8Y97HElIwgknnMCxxx5LEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhIe/+Uv8/hzz+XLX348b3rTsSQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJuOiii9jc3GRzc5PNzU02Nzfp/suCrvv/UVBMkUAV3RwUhoHlEtbX6eag0BoSFKro5qCQsLEBVXRzWa1gfZ1pgnGkm4OC0igUquhmtOAwe8UrXsG3vvUttrudO3ey5b777uO/e+CBB9ixYwdHpY0NqGK5hPV1urmsVphCoYpuDgoJGxZVdHNZrWAYmCYYR7o5KCiNQqGKbg4KCasVjCPdzBYcZv/2b//Gb/zGb3DmmWfy7ne/mzvvvJPt6NnPfjZbDhw4wI+77777uOeee3j605/OUWmacBhRqKKbg4KyYVFFN5fWYByZJhhHurkojUKhim4OCgmrFayv081lucRhpDW44AK6mS04zG666SY+8IEP8IQnPIEPfvCDPO95z2PPnj3ccMMNbCc7duzg9NNP56qrruLHXXnllWx5/vOfz1FHQdmwGEe6ubQGCdME40g3l2miUShU0c1BQVntK8aRbi6tYQZagyq6ubRG2xcSSOhmtmAbeNGLXsTnP/95brzxRt785jdz5513cv7553PGGWfwJ3/yJ+zfv5/t4MILL+Rzn/scq9WKBx98kK9+9atccsklvOQlLyEJD0cC+/axvSkkTBNU0c1ltaIN6yhU0c1BQVntK8aRbi4bG5iiNbjgArq5TBONIoGEbg6tQcLKYn2d7jBYsI0cf/zx7N27l5tuuolrrrmGF7zgBfz93/89u3fvZhgGPvvZz3I4vfzlL+ctb3kLl1xyCaeddhrnnXceT3va03jXu97FUWm1ojGgUMVRIQFl+1JQVvuKceSokICyvSkSWoMLLqCbyzTRMpJAQjcHBWVlsb5ON5fWsEYUqugOgwXb1Mknn8wHPvABNjc3+ehHP8pjHvMY3vzmN3P66adzOL3hDW/ga1/7Gpubm2xubvL+97+f448/nqOSsrIYR7q5KBJagyq6uSyXWCMJJBwVdu0CZftSUFYW6+scNRJQtq/WkKBQxVEhAWV7myY2LKroDpMFR4Bf+qVf4sQTT2Tnzp10M1FssmFRRTeX1jADCVTRzaU1lhthfZ1uLooEhSq6uaxWbGSdKrq5KCgTxTjSHSYLtqnvfve7/NEf/RHPfOYzOeecc/jGN77B7/3e73HDDTfQzWBjA1NUQRXdXKaJZSvW1+nm0hoSTFFFN5fWaAxU0c1FoTUminGkm4vSDApVdIfJgm3kzjvv5NJLL+UFL3gBL37xi/nkJz/Jr/7qr3L11Vdz0003sXfvXo499li6GUwTS0fGkW4uik1MUUU3l9ZoGUno5jRNrCzGkW4uiikUqujmslzSGBhHusNowWF233338alPfYqzzjqL5z3vebzvfe9jsVhw8cUX86//+q/89V//NaeeeirdjBSbmOKCC+jm0hqNIqGb0zSxslhfp5uLYhNTVNHNpTU2HBhHujm1xkRRRXcYLTjMXvjCF/KHf/iH3Hbbbfz6r/86X/jCF7juuut45StfyY4dO+gOA0VCQjen1YoVI+vrdHNRbGKKKrq5bGywwUgV3ZymiYmiim4uSqMwRRXdYbTgMPvlX/5l/uqv/orNzU0uvfRSnvSkJ9EdZq2xZJ1hoJuLYhNTVNHNRWkUCd2cpomJYhzp5qLYxBRVdHPZ2KAxMI50h9mCw+zjH/84wzDws/re977HkSgBZVty2kejqOKok4Cy/SgSEo46CSjb03LJipH1dY46Cezbx/aj2MQUVXRzaY0NRqro5jRNTBRVdIfZgsPo7rvv5vTTT2e1WvFw3XXXXezdu5dXvvKVdAeRYpMEqujm0hpL1hkGuhkpmKKKbi6KhISjUgLK9rNaMVGMI0edBJTtR1EwRRXdYbbgMHrsYx/Lpz/9aS677DKe+cxn8ra3vY3bbruN/8ndd9/NDTfcwDnnnMNznvMcfvjDH/L5z3+e7iDa2KAxMI50c5omJFTRzUVRSOjm1BpL1llfp5uLYhNTVNHNRWmGhG4bWHCY7dq1i+uvv56LL76Yq666irPOOou1tTV+7dd+jbPOOouzzz6bPXv28NznPpdnPetZnH/++Tz44INcc801fOADH6A7yKaJiaKKbi6KTUioopvLxgaNgWGgm9M00SgSurkoEhK6OS2XrBhZX6fbBhZsE+eeey433XQTn/3sZ/nN3/xNdu7cyV133cWBAwe49957OeGEE3jHO97BjTfeyNVXX83JJ59Md5ApNjFFFd1cWmODkSq6OU0TE0UV3VyU1iCBhG4urdEYGAa6GSk0iiq6bWDBNrNr1y7e85738PnPf54bb7yRm266iX/4h3/gyiuv5NWvfjXHH3883SGiSEjo5rRaMVGMI91cFJuYoopuLq3RGBhHujlNExNFFd1cFIWEbptY0HUPaY3GwDDQzUWxSaOoopuLIiGhm9NqxURRRTcXxSamqKKby8YGjYFxpNsmFnTdQ6aJiaKKbi4KCQndnJZLGgPDQDcXxSaNoopuLq0hIaGb0zQxUVTRbRMLusMiAWX7UGxiiiqOWrt2gbJ9tMaGA1Uc1RJQtg9loqiim4tCQsJRLQFl+1itaLXOMHDUSkDZPhSURlFFt00s6LotrWGKhG5O08REMY50c1EUTFHFUSsBZftojQ0HqujmotAak6GKbi6KhIRuG1nQdVtWK1pGhoFuLgqKKboZbWxgjSR0c5omJopxpJuLIkFCFd1clksaAwndNrJgm3rwwQf57ne/y2233caWu+++m+4QUVAmiiq6uSgStlTRzWWaaBTDQDcXBYUquhm1hjWS0M1JWVmMI902smAb+v3f/31OO+00XvziF/Oa17yGLS9+8Yv54z/+Y7pDQCGhNUjo5rJc4rhOQjcXBWWiqKKbS2uYQqGKbi7TRKMYBrq5KD9SRUK3jSzYZs4991w+85nP8JKXvIQzzzyThzzrWc/i4x//OG9729voDrLWMAMJJHRzUGiNti8MA91cFBIUErq5rFY4jCR0c1FQJooqji4Jx9x6K9vSxgamUKii20YWbCP79u3jm9/8Jp/4xCf4i7/4C37c+9//ft7ylrdwxRVX8OCDD9IdRNOEu4qEbi4KCZOhim4uyyVmYEtCNwcFpVEMA91cFBK6mU0TDiMJ3TazYBv50Ic+xEknncRTn/pUfpLf+Z3fYcsdd9zBkS4B5fBTUBrFMHDUS2DfPg6/1mAcaQ0Suhm5q0jo5qKQME1QRTeX5RLHdRSq6OagoDSKYaDbZhZsI4vFggcffJD/yYMPPsiWY445hu4gaQ2qmCaoopvLNGGKBBKOegkoh5eC0iiGgaNeAsrh1xoMA8ojwq5doBxeCq0hIeERIQHl8FJImCaoottmFmwj4zjyH//xH/zzP/8zP8nFF1/ML/zCL/D4xz+e7iBZrWAcaQ2q6OagoJgioZvLxgZUMU1QRTeXacIUW6ro5qCQ0AzDQDeX1QqGgW57WrCN7Nq1izPOOINXv/rV7N27l4dce+217Nmzh09+8pPs3buX7iBRUEyR0M1FIaE1GAa6uUwTjCMKCd0cFBRTJHRzaQ3GkWmCKrq5KKZQqKLbZhZsM1dccQV79uzhqquu4stf/jLf/va3ufDCC/nOd77Dn/7pn/L617+e7iBRSFBI6OayXML6OtMEVXRzUFBMsSWhm0NrkNAaDAPdXKYJquhmpKCYotueFmxDl112Gf/yL//C1Vdfzac//WmuueYaNjc3ee1rX0t3ELUGw0BrMAx0c1BoDRKUbi4KCQoJ3VxWK1hfZ5ogoZuDgmIKhSq6OWxsQBUKCd02tGCbevSjH82pp57Kk5/8ZE4++WQOlQceeIAvfelL3HHHHTziTBNUMU1QRTcHhQQJW6ro5rBawTDQGgwD3RwUFKrYktDNQSFB6eY0TTCOKAwD3Ta0YBv51re+xe7du9m9eze7d+9m9+7d7N69m927d7N79252797NMAy89KUv5dJLL+Xndfnll/OMZzyD17zmNbzwhS/kwgsv5M477+T/58wzz2RtbY21tTXW1tZYW1tjbW2N6667jiOKgkIV3Yxag3FEIaGbi0IV+/ZBQjcHhQSF1qCKbg7LJYwjWxK6OSgoVDFNUEW3DS3YZo477jj279/PXXfdxXHHHcfjHvc4FosF+/fvZ//+/Tz44IN8//vf533vex9nnXUWP6tPfOITvPe972W5XPKNb3yDK664gptvvpm3v/3t/E++973v8cMf/pALLriASy65hEsuuYRLLrmESy65hKc+9ak8XAkoh0drkKCgUEU3h2mCKlqDhEeMBJTDQ0GhCoWER4QElMOnNRgGtiR0c2kNElqDYaCbg0LCltYgoduGFmwjT37yk/n3f/933vjGN/KVr3yFK6+8kk996lN88Ytf5Atf+AJb3vrWt3LjjTfyN3/zN9x222185CMf4Wdx+eWXU1Wcd955LBYLzjjjDN761rdy1VVXofKTfOUrX2HL6173Os4991zOPfdczj33XM4991xOPPFEjiirFayvozyiJKAcHgoKVWzZtYtuDhsbUMWW1qCKbg7TBFUoJDxiJLBvH4dHa5BAFdMEVXRzaA2GAYUEErptaME2cuWVV/LYxz6WP/iDP+C/e9KTnsQ73vEOLr74YrY8/elP52lPexof/vCHebjuvfdebr75Zvbs2cOPe+lLX8qW6667jp/km9/8JscddxwnnngiRzQFhSq2JHRzUEjYMk1QRTeHaYJxRCGhm4OCQhWtwTDQzaE1GEe2KCQ8YiSgHB7TBFUoJHTb1IJt5MMf/jDHHXcc/5PnPve5/OAHP+Ahxx13HPfccw8P14033siWJz7xify4HTt2sHPnTr7+9a/zk9x8882ceuqpjOPI6aefzumnn87555+Pyk9rbW2NtbU11tbW+M53vsOHPvQhVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG6//nruOekkVP7u7w5w5pkHUFFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRuf/++7n11ltRUbn99tu55557UFFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG5521vY//LXoZKa3DMMbeioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKionL77bdz7733oqKictddd7F//35UVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbr32Wu6/5RZMuP762znppHtQUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVH5wQ9+wP79+1FR+b/swX+sn3dhmO1bTjKMkqGUmdWjQb7flNXFKWrp2pi1qN9PsrOwDjbUiY7S0R5bjD+6hmlD26T9YI5bTbQVmjSNbNpQ63OaiTKtqkarlgLd8nwBQ9dB1bHBOGkUbk9palYPeTTBQbHR+x5nTo7j8K7YOY5Nnuuq2FRRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRceIXf5FHd++m4gMfeJRv/dbjVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbKqoqDhx4gQPP/wwFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWPfuADHP/Wb+WjH32Q06dPA1FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRceLECR555BEqKioeffRRjh8/TkVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRcWDH/0op++/n5T3ve8k3/EdJ6moqKioqKioqKioqKioqKioqKioqKioqKioqKioqPjJn/xJ9u7dy969e9m7dy979+5l9qQdXEH+/t//+zz00EP8wR/8AU/nH/yDf8A3fMM3cM7//J//k+uvv56v1ZkzZ9h03XXX8VTXXHMNjz32GE/nv/yX/8IDDzzAK1/5Sv7lv/yX/MRP/AT/43/8D374h3+Yz3/+8/xRbGxssLGxwcbGBt/0Td/EwYMHUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUdn92c+y89WvRuV3fudGXve6G1FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbn22mu56aabUFHZvXs3O3fuREVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVl52/+Jru+67sAUXjVq25CRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWX37t0873nPQ0VF5YYbbmDXrl2oqKioqKioqKioqKioqKioqKioqKioqKioqKio3HT6NNe+9KWofPazu3n1q3eioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqJy/fXXs2vXLlRUVDapqKioqKioqKioqKioqKioqKioqKioqKioqKioqOz61V9l5zvegcrOnTvZvXs3KioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqm1RUVHbt2sUNN9yAioqKioqKioqKioqKioqKioqKioqKioqKioqKisDO48fZ/UM/xOnTN/HSl16LioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorKrl27uP7661FRUdm5cye7d+9GRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVF5abf+A2uXVlB5eTJG/n2b78RFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWVt7/97WxsbLCxscHGxgYbGxvMnrSDK8gtt9zCH/tjf4xXvepV/PzP/zwPPfQQn//857n//vu54447+NSnPsXb3/52Nr3lLW/h2LFj/KN/9I/4ah577DFOnjzJyZMnOXnyJCdPnuRSvP3tb+c973kPP/ZjP8ZiseD1r389R44c4X/9r//F2toaV43lEsZgU4Ey227TBApjUKDMLodpgsWCTcsljMFsuxUUjEFBwRjMtluBsmmaQJldDsslrK6yqUCZXaF2cIX57d/+bb75m7+Zf/JP/gm33XYb3/d938drXvMaHnzwQe666y7+wl/4C5w8eZIPf/jD/JW/8lfYv38/X8373vc+9u/fz/79+9m/fz/79+/nS1/6Ejt37mTTY489xlOdOXOG6667jqezsrLCLbfcwlY333wzf/pP/2kqrgoFBWNQnKXMtts0weoqm6YJFgtml8NyCWMwu4wKlNlldvgwrK5yzp49zLZbQcEYbJomGIPZFWoHV5jrrruOX/u1X+PjH/84v/zLv8wv/dIv8cEPfpDPfOYzvPGNb2TTjTfeyGc+8xne8Y538P/ne77ne7j77ru5++67ufvuu7n77rt53vOex3d+53ey6eTJk2z12GOP8eijj/Lyl7+cpzp58iQf+chH+IM/+AOezjXXXMNVYZpA2VSgzC6H5RLGYNOxY8wuh4KCMdg0TTAGs+02TbBYsKlAmV0O0wTKpuUSxmC23QqUTQXK7Aq2gyvUC1/4Qvbu3cstt9zCnj17OOcrX/kKm6655hr+b1784hezsrLCysoKKysrrKyscM0113Ddddexb98+PvShD7HVr//6r7Np//79PNUXvvAF/vpf/+v823/7b9nqoYce4oEHHmDfvn18rRSKy2t9HQ4dYlPxnKNQXF4FBWOwqWAMZtttbQ3GYFOBMrsclksYg03TBIsFs+02TaAwBpsKlNl2myZYLNhUoMyuYDu4wvz+7/8+f+kv/SVuv/12br/9dm6//XZuv/12brvtNr73e7+Xb/u2b+OZ8OY3v5n/8B/+A+vr63zlK1/hv/7X/8rP/MzP8Of+3J9DZdPHPvYx7rzzTj796U9z8803c/vtt/NzP/dz3HvvvWy6//77+fEf/3Fe9KIX8aY3vYkrXsE0wRhsKlgsmG23AuWcaQLlOWXPHigur+USVlfZVKA85ygUl09BwRhsWi5hDJ5TFIrLa5pgdZVNxVnKc4pCcXktlzAGm6YJFgtmV7AdXEEee+wxxhjcd999PProo/ze7/0eX/rSl/jiF7/IQw89xIkTJ/iLf/Ev8kx47Wtfy9/6W3+Ln/mZn+FlL3sZr3/96/nWb/1WfuqnfopzHnroIT70oQ9x4sQJNv30T/80t99+Oz/+4z/O3r17ec1rXsPzn/98/s2/+Te84AUv4IpXMAbnLJcwBrPtdvgwrK6yqUBBmW2ngoIx2DRNsFgw227TBMrsMlsuYQw2FSiz7VZQMAabjh0DZXYF28EV5L777mPThz/8YT72sY/xkpe8hNe97nV84hOf4JOf/CQ7d+7kz/yZP8Mz5cd+7Mf49Kc/zcbGBhsbG7z73e/mBS94Aee8/vWvZ2Njg8ViwaYXvOAFvPOd7+Qzn/kMGxsbbGxs8J73vIeXvOQlXBWmCRYLzilQZtttmkDZVKDMtluBcs5yCcpsu62vw6FDbCooGIPZdiooGINNBcpsu62twRicU6DMrmA7uIL803/6T/mTf/JP8o3f+I1s+uZv/mY+9KEPsemGG27gF3/xF/mpn/opZhdpuYQx2FScpcy20zSBwhhsmiZYLJhtt2mCxYKtlNl2KpgmGIPZZVSgnFOwZw+z7bZcwuoq50wTjMHsCraDK8g3fdM3cd1113HO3/ybf5OTJ09yjsqjjz7KyZMnmX2NCgrGYFMxuxymCVZXmV1myyWMwTnTBGMw204FY3BOgTLbbocPw2LBOcsljMFsOxUUjMGmAmV2hdvBFeRHf/RH+b3f+z2+8pWvsOkbvuEbeOSRRzh16hSbvvzlL7Pp9OnTzL5G0wTKVspsuy2XMAbnLJcwBrPtVFAwBpsKlNl2myZYXeWcaYLFgtl2KxiDcwqU2XYqUM4pUGZXuB1cQV760pdy7bXX8opXvIL3vOc9vPjFL+aaa67hr/7Vv8rv/u7v8sY3vpFNu3bt4uuBQnF5rK/DoUOcM02wWPCco1BcHgUFY3BOgTLbTtMEY3BOgTLbbsslKOcslzAGs+1UnDUGm4qzlNl2miZYXeWcaYLFgtkVbgdXmGmauOGGG3j5y1/Opne84x3cd999vPa1r+W+++7j7/29v8fsa1QwTTAG5yyXMAaz7VSgnFOcpTznKBw7xuWxvg6rq5wzTbBYMNtOBQVjMLuM1tZgdZVzUOJklgAAIABJREFUCpTZdlsuQTnn2DFmV4EdXGFe9KIXcfToUV7+8pez6XWvex2f/OQnef/738/HP/5x3vzmNzP7GhWMwVbFbLsdPgyLBecUKLPtVFAwBuccOwbKc5JCsf2mCZRzCgrG4DlHobg8lksYg3OK56w9e6DYfgUFY3BOwRjMrnA7uArccMMN3HzzzbzwhS9kdhGmCRYLzinOGoPZdioYg3OmCZTZdipQtipQZttpfR0OHWJ2GRUUjME5BYsFs+00TTAGW00TKLMr3A6uIA888ABvetOb+Go+/elPs1gs+MpXvsLscQV33QXTxFe3XMIYnFPMLtE0wcGDUDy94qwx2GrPHmYXqeDgQTh4kK9ummCxYKtpgjGYXaSC226DaeLpFUwTKOcUKLNLcNddcNttfHUFylbLJYzB7CIVHDwIa2t8devrsLrKOQUKyuwKt4Nn2ZkzZzhz5gxnzpzhzJkzfPazn+XMmTOcOXOGM2fOcObMGc6cOcNjjz3Gpz71KY4fP86Xv/xlZo87eJCzbrsNigsVFIzBVsrsIhUcPMhZhw/z9NbWYHWVrZZLGIPZRZomziqYJp7ecgljcE6BMrsEBw/CYgEHD/L0ChSUc6YJFgtmF6lgfZ2zDh7k6R0+DIsFWxUos4u0tsZZBw9CcaGCgjE4p0CZXQV28Cy777772LdvH/v27eO1r30tf/iHf8i+ffvYt28f+/btY9++fezbt49v+7Zv46677uKP//E/zvOf/3xmUFBw111w4ABMExeaJlC2miZYLJhdpAKFI0dgbQ2KCy2XMAZbTRMos4u0vg6rq7C6CuvrXKigYAzOKVBmF6mg4K67QGFtjQtNE6yustVyCWMwu0hra7C6CkeOwNoaT69gDM4pzlJmF2m5hNVVOHAADh/mQgXKVtMEiwWzq8AOnmUve9nL+NEf/VFuvfVWbr31Vjbdeuut3Hrrrdx6663ceuut3HrrrbzlLW/hve99Lx//+MeZPa5AOWuxgOWSC62vw6FDbLVcwhjMLtL6OiwWnHXgAEwT5ysoGINzChSU2UUoKBgDDhyAtTUuNE0wBltNEywWzC5SgXLW6iosl1xouYQxmD1zlksYAxQUponzFWeNwTkFyuwiFRSMAUeOwNoaF5omWCzY6tgxUGZXgR1cAf7hP/yH3HPPPRw+fJhXvOIV3HPPPdxzzz3cc8893HPPPdxzzz38nb/zd3jFK17Bddddx9eT4qJNEywWnHXgAKytQfGkgmkCZasC5TlLobhoBWNw1mIByyXnK1C2KlBmz5AxYG2N862vw+oqWy2XMAazizRNsFhw1oEDsLbG+QoKxuCcgoIxmF2kaYIxOOvQIVhf53xrazAGW00TLBbMLlKB8gSF4nzLJYzBVgXK7CqwgyvIzTffzHvf+16eK/bs4ZIcOwbKEw4cgGniSQUKyjnFWcrsIk0TjMFZBw7A2hrnO3wYFgu2miZYLHjOUiguWoHyhNVVWC55UkHBGMyepFBctOUSxuAJCsWTCpStCpTnLIXiohUo55kmzrdcwuoqWx07xnOawrFjXLRpgsWCJ4wB08STCgrG4JyCaYIxmF0FdvAs+4Ef+AFWVlZYWVlhZWWFlZUVVlZWWFlZYWVlhZWVFVZWVlhZWWFlZYU77riD2eMKlCcsFrBc8qRpgtVVtipQZhepQDmPQvGkgjHYarmEMZhdpGmCxYInKKyt8aQCZauCgjGYXaQC5QljwDTxpMOH4dAhtpomZpegQHnCgQOcVTyuoGAMtioYg9lFWi5hDJ6wWMByyZOmCZSnUmZXiR08y06dOsWpU6c4deoUp06d4tSpU5w6dYpTp05x6tQpTp06xalTpzh16hSnTp3i1KlTzB5XoDxBYW2NJy2XMAZbTRMsFswuUoFynjFgmnhccdYYzJ45yyWMwRPGAIXicdMEiwVbFbNLUJylPGGxgOWSxxVMEyhPtVgwu0jTBIsF5xkDponHFShPNU0wBrNnyIEDsLbGk9bX4dAhtipQZleJHTzLfv3Xf52jR49y9OhRjh49ytGjRzl69ChHjx7l6NGjHD16lKNHj3L06FGOHj3KRz7yEWZQnKU8YQxQKKCgYAy2Wi5hDGYXaZpgseA8iwUslzxubQ3GYKuCgjGYPYPGgGniccsljMFW0wTK7Bl04ACsrfG4AgVlq+USxmD2DFosYLnkcevrsFiwVYEyuwTTBGNwHoUCCgrGYKtpgsWC2VViB1eoL33pSxw7doz777+fhx56iNkfzRgwTUCBMtt+Bw7A2hqPWy5hdZWtCpTZJShQzrNYwHIJFBSMwVbHjsFiwewiFSgXUChgmmB1la0KpgnGYHaRlksYg/MoFI8rGIOtCpTZRSpQLjAGTBNQoDzVcgljMLtK7OAK9MM//MO84hWv4I477uA1r3kNt912G3v37uWf/bN/xuxxBcoFFgtYLoHDh+HQIbYqKBiD2UVaLmEMLqDQFBSMwVbTBIsFs4tUnKWcR2GagGkC5akKxmB2kaYJFgsuMAZME7Bcwhg8lTJ7ho0B0wRNQcEYbDVNsFgwe4YtFrBcAtMEiwVPNU0wBrOrxA6uMHfccQef/OQn+Wt/7a/x/ve/nw9+8IP80i/9Env27OFf/It/wZEjR5hBgXIBhbU1YJpA2apAmW2DMWBaD5SnWi5hDGbPsDGgoMPrcOgQWxUUjMHsGbZYwHI9KBiDrdbWQJldggLlAgcOwHRwDcbgqZZLGIPZRSpQLnDgAKytAcsljMFWBcrsKrKDK8ixY8c4duwYv/ALv8A//sf/mJtvvpk9e/Zwyy238MEPfpA3vOENvPOd7+TrhcKxY1yUgj17uMAYoJADlK2mCRYLnvMUiotSoFxgsYDlWrBYMLuQQnFRCpSndeAATCxgDLYqUGaX4NgxUC5w4ACsTYLyVMslHDrE7CIVFCgXWCxgmbC6ylYFBWMwu0gFytNSKGAMtpomUGZXkR1cQe655x52797Nd37nd/J03va2t3H69Gm+8IUv8Fx37BgoT2sMmFaP8FTLJYzB7BIUKBc4cADWOABjsFVBwRjMLlKB8rQWC1h6gKeaJlgseM7bsweKi1KgPC2FVg8xe3oKxUVRvqo1DsAYbFWgzC5BwZ49PK0xYHKVp1pfh0OHmF1FdnAV2rFjB891BcrTWrTG8phsVVAwBrOLVKA8vUJiYrBVgTK7BAV79vC0DnQXa5M81XIJYzDbDsVojbUGWxUUjMHsIhUoT+uAExLFeaYJFgue8xSKi3LsGChPa9EaSw/wVMXsKrODK8ib3vQmjh8/zsbGBk/n7rvv5pprruHGG29k9lUUBzrM2hrnKVBm22VtjVXWWF/nPIcPw6FDzLbLcolE8YSCgjGYXYIC5ULFgiXHjnGeaQJltl3W1xlMTBPnWS5hDGaXoEC5UHGgw6ytcZ7irDGYXUV2cAVR2b17N3/5L/9l3vnOd/LQQw/x+7//+zzwwAP84A/+ID//8z/P3/gbf4MZFCgXKlAUpoknrK/DYsHsEhQoT2+5ZBwarK3xhIKCMZhdgmPHQLlQQTEOyNoaTyhQZpeoQLnQNHHg0B6mCYonrK/DoUPMLkGB8vSKxQFZLnlCQcEYzLZDgXLgAKyt8YS1NRiD2VVmB1eY5XLJt3zLt/Dud7+b2267jTEG3//938+nPvUp3vrWt3LnnXcygwLlQocPw+oqhw7B+jpnFaytwRjMtkNBMe4aKEwTZxUos0tUoFxomkBZXYXDh3nC4cNw6BCzS1CgPL3lEsZgDFhb46zirDGYXYKCPXu4UEFx4MhgmqA4a5pgDGaXqEC50DTBYsFiAcslT1guYXWV2VVmB1egX/mVX+E//af/xPvf/37+/b//93zgAx/gM5/5DHfeeSczKFAuVDBNoBw4AGtrME0wTTAGjMHsEkwTLBZcqEDZdOgQHD4MBYcPw6FDzLbL+jocOsQYMAasrUFBwRjMtkNBwRgcOgSHD3PW4cOgzLbL2hqMwabVVTh8GAoOH4bVVWaXqEC50HIJY3DgAEwTTBOsrUHBGMyuMjt4lv3gD/4gDzzwAE914403cvPNN/Oyl70MlWuuuYbZ/0WBwhhsuvdeOHgQDh+GI0eY/R8KxTNnfR0WCzYdOMBZt90GCmMwu0QFyvkKCsZg06FDcPgwHD4Mhw4xu0QFyoUKlE0Khw7B//P/wDTBkSPMLtGxY6BcaLmE1VU23XUXFNx2G4wBYzDbDgUFY7DpyBE4eBDW1+HIEWZXoR08yz73uc/x/d///XzHd3wHP/3TP80Xv/hFria/+7u/yxe+8AUuhkLxNStQLjRNsLrKOWPAvffC5z4HyuwSHTsGyoUKxuCce++Fe++FI0eY/R8KxUUpUM5XoJwzBnzuc7C6CgcOMPs/FI4d45lz+DCsrnLOXXfBvffC5z7H7BlQoJyvoGAMzjlyBO69F44cYXaJCpQLTRMo54wBn/scHDkCYzC7Cu3gWfaJT3yCn/3Zn+WFL3whP/dzP8d3f/d3c/vtt/Nbv/VbXOkeeugh3vjGN/Lbv/3bXBGWSxiDrZTZM6S4UEHBGGylzJ4BBcqFpgkWC55qDGbPgALlQtMEylbK7CkUimdGgbKVgjLbQqF45qyvw6FDPJUyu0rt4Arwqle9iv/4H/8j//k//2fe+ta38sUvfpEf+ZEf4ZZbbuHv/t2/y4kTJ7jS3H///bzhDW/gD//wD7ncCpTzFRSMwWz7KOdbW4MxmF1myyWMwWx7FOzZw/mmCRTGYLY9CpTzTRMsFsy2R4FyvoJpgjGYff3YwRXkBS94AXfeeSef+MQnuPfee3nlK1/JL//yL/O93/u9LBYLPvjBD/Jse+yxx3jXu97FD/zAD7B7926eDQV79nC+AmV2mS2XsLrK7DIqKBiD2WU0TbC6ymz7FCjnWy5hDGaXUcEYzL6+7OAK9eIXv5if/dmfZWNjg1/4hV/g+c9/Pm9961vZt28fz6ZHHnmE9fV13va2t/Hud7+bK8bhw3DoELPtU6A8qThrDGbbo0A53zSBMts+x46Bcr7lEsZgdhkVFIzBbHsUKOebJlgsmH192cFV4E/8iT/Bi170Inbu3Mmz7frrr+fDH/4wBw8e5IoyTcy2V4HypGL2LFhfh0OHmG2fAuVJBQVjMNseBcr51tZgDGbbp2DPHs63XMIYzL6+7OAK9fnPf563ve1tfPu3fzt33HEH//2//3fe8pa38Fu/9Vs8m6677jqe//znc7H27t3L3r172bt3Lz/yIz/Co48+SkVFRUVFRUVFRUVFxac//TA33HCCiorj730vp2+6iZSKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKitOnT/Pggw9SUVHx8MMPc+LECSoqKioqKioqKioqKjZVVFScfN/7OPkd30FFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFxfHjx/nyl79MRUVFxaaKioqKioqKioqKiopPfOIEu3Y9TEXFgx/9KEwTKRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVjzzyCCdOnKCiouLEiRM8/PDDVFRUVFRUVFRUVFRUPProoxw/fpyKiuO/+Zs8uns3FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVmyoqKioeffRRjh8/TkVFRUVFRUVFRUXFgw8+yOnTp6moqHj0Ax/g+KtfTUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXFiRMneOSRR6ioqHjwwQc5ffo0FRUVFRUVFRUVFRUV//t/n+R//++TVFQ8+NGPcvr++0mpqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqPjJn/xJ9u7dy969e9m7dy979+5l9qQdXEG++MUv8q53vYtXvvKVfN/3fR+/+qu/yrd8y7fwG7/xG3ziE5/gzjvv5IYbbmC7PfbYY5w8eZKTJ09y8uRJTp48yTNlY2ODjY0NNjY2+MhH7uH48Z2oqKioqKioqKioqKicOHED3/Vdu1BR2f3Zz3Ltm9+MioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorKtddey0033YSKisott9zAww/vQkVFRUVFRUVFRUUFREFFReXG3/kdbnzd61BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFR2b17N8973vNQUVFRUf4/oqKioqKioqKioqLy8MO7uOWWG1BRuen0aRgDFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRWV66+/nl27dqGiorJr1y5uuOEGVFRUVFRUVFRUVFRUjh/fyStfuRsVld3/6l+x89WvRkVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZZOKiorKzp072b17NyoqKioqKioqKioqp0/fxEtfei0qKgI7jx9n9w/9ECoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqu3bt4vrrr0dFReWmm27i2muvRUVFRUVFRUVFRUVF5eTJG/n2b78RFZWb7r+fa1/6UlRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVN7+9rezsbHBxsYGGxsbbGxsMHvSDp5ljz32GL/2a7/Gbbfdxnd/93fzz//5P2fHjh38xE/8BP/tv/03/t2/+3e85CUv4XJ63/vex/79+9m/fz/79+9n//79fOlLX+KKtVzCGMwuo4KCMZhdRtMEiwWzPxqF4tIVjMHsj0ahuDQFyuyPRqH4mhXnW1+HQ4eYff3ZwbPsz/7ZP8vf/tt/m4ceeog//+f/PB/+8If52Mc+xhve8Aauu+46ng3f8z3fw913383dd9/N3Xffzd13383znvc8rhQFyuMKCsZgtn0KlCetrcEYzLbXsWOgPGm5hDGYba8C5XHFWWMw2z4FypOmCRYLZttPeVzBNMEYzL7+7OBZ9qf+1J/iX//rf83Gxgbvete7+MZv/EaebS9+8YtZWVlhZWWFlZUVVlZWuOaaa7giFSizy2y5hNVVZpdRQcEYzLZPcb61NVhdZXaZLZcwBrPLqGAMZl+fdvAs+5Vf+RUWiwWzP7oC5XGHD8NiwWx7FU8qKBiD2fYqUB43TaDMtp/ypOUSxmC2vQr27OFxBQVjMNteBcrj/l/24D/U87wg9P+T45Srbu7CXWH0u3KeWHbE/qggvhtifF7JxKWCFkHIG+VRUiLs+4/Qwv1jHUaDaDEorlt/CDYHSghuf+wft4j+8P2pi+glCv/oxymT54lhm3CSsVbd2uHyZVwWt3V3nJk95z27M6/HY1lgs2G6Pe0wvbwtC4zBdPKUpxUo08oODuDsWaYVFRSMwbSiZYExmFa23cIYTLenHaabdu+993J4eMiZM2dYS4HytAKFMZhOVsHuLk9bFthsmE5egQIFywJjMJ2sAuVpBcp08o6OQHnawQHs7zOdvAIFCgrGYLo97TDdMgrFzTt/Hvb3mW6MwtERN2+7hTGYVlQwBtPKzp2DzYZpRQUFYzCtaFlAmW5fO0wvKwXK07ZbGIPp5B0dgQIFBWMw3RiF4oYUKLAssNkw3RiF4sUZg+nG7O5CcUMKFChQphunUFy3AuVpBwdw9izT7WuH6eWpoGAMphUtC4zBtLLtFsZgOnkFChQUjMG0omWBzYZpRQXLAsp0+9phenkqUKZ1FChwcAD7+0wnr0CBgoIxmE5ewe4ucP487O8zrWy7hTGYTl6BAgUKynT72mF6WSlQ4Nw52GyYVlRQMAbTigqUaWXbLYzBtI4CCQrGYFrRssD+PtPtbYfp5algDKYVFSjTys6dg7NnmVZ0FBSMwbSOAltgDKaVbbcwBtPtbYfpZaVgl/iGMZjWUeDRApsN0zoKJFgWUKZ1HB2BBMq0soMD2N9nWkeBBAVjMN3edphefs6fh/19ppUtWxiDaUUFCsq0ovMHsNkwraNAgoIxmNZRQIEy3f52mG4pheK6HR2BHMEYTDdHobghBRKMwXRzFIrrViDB/j7TzVEobkiBBGMw3RyFoyNunDKta7cFzp5luv3tML38uAtjMK1sDKZbYAymlSmMwbSyzYbp5ikUN06Zbn87TC8rBcq0ogIJ9veZ1lOwKzAG08rGhmk9BRKMwbSeoyNQQJlufztMLz+bwbQyhTGYVqZM6ypwfzCtTGEMppXtv5fpzrDD9PIzBtOKiukW2C6wGUwrKihQphUVKNO6Chwy3Rl2mF4+ipZQphW1hDKtqThaQpnWVIQo04o6WFCmNRUsC9OdY4fp5eP8eaZbYLswrayYboGDA6aVFSxbppUV051lh+mWUiiuz9ERIcr0IigU16dg2TK9eLu7UFyfZSFEmV4kheK6FCjTmorYZXeXaU3nzhGiTHeIHaaXh4JlYVrZshCiTGvabplWVrAsTC+eQnF9loXpeCgU12dZmO4sO0wvDwXKtLKDA3jvPtOKCgrGYFrR+fMwBtPKtlsYg2lFywIKynTn2GF6eTg4IDco01oKinYHu7tMaylQCpRpLdstbfZRprUUFEcOlGktywL7+xQo0x1ih+nloWAzmFZUoEwrO3cO9veZVlRQMAbTipYFlGll2y2MwXRn2WF66SsoGINpRcsCmw3TypYFlAJlWkOBMq3s4ADOnqVAmdZQUORAme4gO0wvfefPwxgUKNNatlsYg6MjUKY1LAsojMG0ooMD2GwoUKY1FBSMwbSiAmW68+ww3VIKxbVtt7C/z3Q8FIprKygYg+l4KBwdcW3LAvv7TCsrGINpRQXKtLJz52B/n+nOs8P00lZQMAbTipYFlKsKlGkN2y2MQYEyHQOF4oUVFIxBwe4u04ukUFzbssBmw1UFyvQi7e5CcW3LAkqBMt1Bdphe2gqUqwqUaQ0HB3D2LNOKCgrGYFrR+fMwBtPKtlsYg2lFywIKYzDdeXaYXtqWBTYbphUVLAuMwbSiAmVa2XYL+/tMKyooGINpRcsC+/tMd6Ydppe27Rbe+16uKtjdZTppBWPwjAJlOmnnzsH+PlcVKNNJKygYg6uOjkCZTtqygPKMAmU6adstjMFVBcp0B9lh+oa///u/58tf/jIvKQUFyrSiZYHNhmllywLKtKICZVrZwQGcPcu0ooKCMZjuTDtMPP744/y3//bf+Iu/+Au+nR/4gR9gb2+Pvb099vb22NvbY29vj8985jMcu/PnYQymlW23MAbTipYFFMZgWtGywGbDMwqU6SQVLAuMwVUFynTSCpRnFOzuMt1BdrjDfeELX+Cnf/qn+bd/+ze+nS996Ut8/etf573vfS+PPPIIjzzyCI888giPPPIIb37zm7kZu7tQPL/tFvb3ecbRESjTMVAovlVBwRg8o0CZTtKywP4+zyhQpmOgUDy/7RbGYDpeCsXzKxiDaWXnzsFmw3Tn2uEO9dRTT/Hxj3+cd77znZw+fZrr8fnPf56r3v/+9/Pggw/y4IMP8uCDD/Lggw/yute9jmNVUDAG04qWBZTp+CkUz2+7hTGYVlRQMAbTipYFNhum46dwdMTzKxiD6c61wx3qq1/9KgcHB3zoQx/iE5/4BNfjb//2b/mu7/ouXve613HiCpRnK1Cmk3RwAGfP8owCZTpJxTeMwTMKdneZTtL58zAG08q2WxiDZxQo00kqvmEMpjvXDneo17zmNfzpn/4p73vf+7hef/d3f8cb3/hG9vf3eetb38pb3/pWfu7nfo6KY7cssNkwrahgWWAMphUV0y2w3cL+Ps9WoEwnpaBgDKYVnT8P+/s829ERKNMdZIc71Hd8x3fwqle9ihvx+c9/ni9+8Yv88A//ML/927/NRz7yEf7xH/+Rn/mZn+Gf//mfuR57e3vs7e2xt7fH3t4eH//4/+ArX7lMRUVFxZN//MdcfMtbqKioePLJJ7l48SIVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRVXrlzhwoULVFRUVFy5coULFy5QUVFx8bOf5ckf/mEqKiouXLjAlStXqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouHjxIv/+7/9ORUVFxcWLF3nyySepqKioePK//3cu/8APUFFR8ZWvXOYrX7lMRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXFV7/6VS5dukRFRUXFE088waVLl6ioqLjwv/83V77wBVIqKiquXLnChQsXqKioqKioqKioqKioqKioqKioqKioqKioqKioqKhzju4UAAAgAElEQVSoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouKqioqKi4qqKioqKS//zf/Lk6dNUVFRcvHiRJ598koqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKikuXLvHVr36VioqKikuXLvHEE09QUVFR8eQf/zEX3/IWKioqnnjiCS5dukRFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRcVHP/pR9vb22NvbY29vj729PaZv2uE29tRTT3H58mUuX77M5cuXuXz5Mi/Gww8/zKc+9Sl+8Rd/kc1mw7ve9S5+53d+h3/5l3/h/PnzXI/Dw0MODw85PDzk8PCQX/ql/4977rkXFRUVgbsuXuT0u9+NiorKXXfdxenTp1FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUTl16hT3338/KioqKqdOneL+++9HRUXl9N/+LXf91/+KiorK/fffz6lTp1BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUTl9+jSvfOUrUVFRUTl9+jR33XUXKioqKnddvMi9Dz6IiorKPffcyz333IuKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisprXvMa7rvvPlRUVFTuvvtu7rvvPlRUVO6/coVT3/M9qKioqFy4cIq3v/1+VFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUrlJRUVFRuUpFRUXlvv/1v7jrV38VFRWV06dPc9ddd6GioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKionLffffxmte8BhUVFZX77ruPu+++GxUVFYG7Ll7k9LvfjYqKyqVLd/NDP3QfKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqDz/8MIeHhxweHnJ4eMjh4SHTN+1wG3vsscd44IEHeOCBB3jggQd44IEH+NrXvsbNOnPmDN/3fd/Hs73pTW/izW9+MxU3Q+HoiP/s/HkYg+cqUKaTst3CGDxbgTKdlOIbxuDZjo5AmU7KssBmw7SigmUB5dkKlOmkFCjTtMNt7G1vexuPPvoojz76KI8++iiPPvoor3zlK7kZly9f5s/+7M/40pe+xPN5xStewbHZbmF/n+nkKBTfVFAwBtPJUCj+s/PnYX+f6eTs7kLxn223MAbTigoUlGlF587BZsM07XAbe8Mb3sCZM2c4c+YMZ86c4cyZM7ziFa/gZnz5y1/m/e9/P7//+7/Psz3++ON88Ytf5K1vfSvHoqBgDKYVLQso08q2WxiD5ypQppNQUDAGz1agTMdEofimZYH9fZ6rYHeX6RgoFP9ZwRg8V4Ey3UF2mF7QZz7zGX7pl36Jv/qrv+JNb3oT73jHO/jkJz/Jpz/9aa76whe+wAc/+EFe97rX8bM/+7MciwLl+RQo00k4OICzZ3muAmU6CQUFYzCtaFlgDKaVbbcwBtOKim8Yg2naYXpBjz/+OH/yJ3/CpUuXuOrXfu3XeMc73sEHP/hB9vb2+Mmf/Ele9apX8bu/+7u89rWv5VgsC2w2TCsqWBZQphUVKNPKDg5gf59pRQUFYzCt6Px5GINpumqHiXvvvZfDw0POnDnDs73rXe/i8PCQzWbDVa997Wv52Mc+xl//9V9zeHjI4eEhn/rUp3jjG9/IsdluYQyeq0CZTkKBgvJcBbu7TCfh3DnYbJhWVFAwBs9VoEwnoUB5PkdHoEwnYbuF/X2eT4Ey3UF2mF46CgrGYFrRssDZs0wrKxiD51OgTMetQJlWdu4cnD3LtKKCgjGYpqt2mF46lgXGYDp5CsXTtltQppOlUDyt+IYxmFa0LLDZMK2oYFlAmVZUoEzTM3aYbimF4mkHB7C/z7SigoIxmFZ0/jyMwQspUKZjoHB0xNO2WxiD6eQpFFCgoDyfAmU6BgrF0w4OYLPh+RQo0x1mh+mloaBgDJ5PgTIdtwLlhRwdgTIdt+0W9veZVlRQMAbPp0CZjtuywP4+08oKxmCanrHD9NJQoEwrO3cOzp5lWlFBwRhMK1oWUKaVbbcwBtOKCgrGYJqescP00rAssNkwrahgWUB5IQXKdJwKlBdSoEzH7eAAzp7lhRTs7jIdp4KCMZhWdP48jMELKVCmO8wO00vDdgtj8EIKlOk4HQUKyrSigwPYbJhWVFAwBtOKCpRrKVCm47Tdwv4+0/RsO0y3XkHBGEwrWhbY32daWcEYTCsqUKaVnTsH+/tMKyooGINperYdpltKoQBlWs/uLhQwBtN6FAoYg2lFBZsN03oUQlCupUCZjoFCCMo0PdcO00vD2bNcS8HuLtNxUhiDaylQpuM0NlxLgTIdE4UQxuBajo5AmY6TuzAG08o2G66lQJnuMDtMt57CGEwrU6ZbYP+9TCtTGINpZfvvZboFxmCanmuH6dYqpltgu8BmMK2ooECZVlSgfDsFynRcCpRrKVCm41J8wxhcS8HuLtMdZofp1loWrsfRESjTcVkWrkeBMh2H4noUKNNxOTjPtLKCZWFa2fnzTNML2WG6tbZbppUtC9MtcHDAtLKCZcu0smK6BbZbpumF7DDdOoUtFNOalgWFoyOuqZiOUzGtrJhugXPnQJlWVFBM0wvZYbp1lgWU61GgTMdhu4UxuB7KdBwKCocU11Swu8t0HJYF37uh+LYKlOk4LAu7QnFNBcp0HAoUheKajo5Ame4wO0y3zsEBnD3LtKKCgs1gWtH58zAG08q2W9gMphUtCyhsBtOKlgU2G6bpheww3RoFBWMwrahAmVa23cL+PtOKCgrGYFrRssD+PtPKtlsYg+tRoEx3mB2mW6NAmVZ27hzs73M9CpTpxSooGIPrcXQEyvRiLQso16tAmV6s7RbG4HoUKNOLVVAwBtP0QnaYbo1lgc2G61WgTC/WsoAyrahAmVZ2cABnzzKtqKBgDKYVnT8PYzBN17LDdGtstzAGVykU00lbFlAYg2lFywKbDVcpFNNJK1gWGAOFYlpDgTKtbLuF/X2m6Vp2mNZXUDAG16tAmV6MZYH9fa5SKKY1bLcwBterQJlejIIxuF4FyvRinTsHmw1XKRwdcU0Fu7tML0ZBwRhcrwJlusPsMK1vWUCZVrbdwhhcrwJlejEKCsZgWtGywGbDtLJlgTGYVlSgPEOhmKZvscO0voMDOHuWaUUFBWMwrej8eRiDaWXbLYzBtKIChTGYVrQssNkwTd/ODtO6CpYFxuB6FSjTi1Gg3IiC3V2mF2O7hf19phUVFIzB9SpQphfj/HnY3+dGHB2BMr0Y2y2MwY0oUKY7zA7TugrGYFrZwQFsNkwrKigYgxtRoEw3a1lAmVa23cIYTCsqKBiDafp2dpjWtSyw2fBsCsV0ks6fhzF4hkIxnaQCZVrZwQGcPcu0ooKCMZhWtCwwBtN0PXaYbspTTz3F5z73Ob74xS9yQ7ZbGINpRQUKYzCtaFlgs+HZdnehmE5KwbLAGDybQjGdlALlRhUo0806OID9fZ5NoXhBBcp0B9phuiFf+9rX+OVf/mW+//u/n/e85z38+I//OD/6oz/K5z73Ob6d+596CgrG4EYUKNPNOjiA/X1u1NERKNPN2m5hDG5UgTLdjKMjGIMbVaBMN+vcOdhseDaFYjohpy5cgIIxmKbrscN0Qz784Q/z6U9/mo9//OP8zd/8DcuyoPILv/ALPP7441zL//v1r4MyrWxZYAym9Zy6cAEKxmBa0bLAZsO0soIxmNZz6sIFUKbpeu0wXbennnqKP/zDP+QDH/gA73jHO9jZ2eH1r389v/7rv87Xv/51/uiP/ohr+X+eegp+53eYboExmNZz6sIFGIMbVaBMN6tgDKZbYAym9Zy6cAE2G6bpeu0wXbevf/3rfOxjH+OnfuqneLZ77rmHq/71X/+Vb0uZVqbcjAJluln7+0wrUxiDG1Wwu8t0s/b3uRkFynSzxuBGFSjTHWiH6bq99rWv5Sd+4id4/etfz7P93u/9Hlf9yI/8CNfyf171Kp6PQvGCCpTpZm02PJdCMZ2QK/ffD2PwXApHR0wnRZlugTGY1nXl/vthDKbpeu0wvSif//zn+Y3f+A1+7Md+jB/6oR/iBY3B//gv/4W9vT329vbY29tjb2+Pj370ozzxxBNcunSJioqKioqKS5cu8cQTT1BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFR8fiP/RgX3/IWKioqKiquqqioqKioqHjyySe5ePEiFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRdOneKL73kPFRUVFRWXLl3iiSeeoKKioqKi4sKFC1y5coWKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKise/93u58NGPUlFRUVFx+vSTfPazF6moqKioqPjKVy7zla9cpqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqLiH9/3PlIqKioqTp26wBe+cIWKioqKioqKK1eucOHCBSoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiou3nUXX3zPe6ioqKiouPfey3z+85epqKioqKi4ePEiTz75JBUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVH/3oR9nb22Nvb4+9vT329vaYvmmH6Vs89dRTXL58mcuXL3P58mUuX77M8/nzP/9zfv7nf57v/d7v5ZFHHuGaxuD/vPrVHB4ecnh4yOHhIYeHhzz88MPcfffd3HfffaioqKioqDzxxH183/fdjYqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorK//3whzn97nejoqKionKVioqKioqKyl133cXp06dRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRuf/tb+c7P/ABVFRUVFTuu+8+7r77blRUVFRUVK5cuZ/v+Z5TqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKh85wc+wP1vfzsqKioqKnfddRenT59GRUVFRUXl8uV7+f7vvxcVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlf/74Q+joqKionL//fdz6tQpVFRUVFRUVC5cOMXb334/KioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKqff/W6+8wMfQEVFRUXlnnvu5Z577kVFRUVFReXJJ0/zlrfchYqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiorKww8/zOHhIYeHhxweHnJ4eMj0TTtM3+Kxxx7jgQce4IEHHuCBBx7ggQce4Gtf+xrP9thjj/G+972PH/zBH+STn/wkr371q5luLwXKNE3TNE0vcztM3+Jtb3sbjz76KI8++iiPPvoojz76KK985St5xm/91m/x0EMP8c53vpNPfOITvPrVr2aapmmapml6adph+hZveMMbOHPmDGfOnOHMmTOcOXOGV7ziFVz1qU99it/8zd/kQx/6EB/5yEeYpml6uStQphUVKNPKCnZ3me5AO0zX7Z/+6Z/41V/9Vb77u7+b06dP89hjj/HYY4/x2GOP8dhjj/GXf/mX3IzdXShe0NERKNMxUyheUIEyrahAmY6ZQjGtSKGYpuklYofpun32s5/lP/7jP/iHf/gHHnroIR566CEeeughHnroIR566CH+4A/+gGmaXphCMU3TdCIUjo6Ypm+xw3Td3vnOd3J4eMjh4SGHh4ccHh5yeHjI4eEhh4eH/Mqv/ArT7aFAmaZpOhEFyrSyoyOmO9QO00tegTJNt72C3V2mlRUo03RHUKY70A7TNE3TNE3TdBvbYbrlFI6OmKZpmqbpBBUo0x1oh+klr0CZjplC8bwKlOmYKRQv6OgIlOmY7e5C8YIKlOmYKRTPq0CZpmklO0zTNE3TNN0GFIpp+hY7TNM0TdM0TdNtbIfpJa9AmabbXoEyrahAmVZWsLvLtLICZboD7TBNdyiF4nkVKNMxUyimaZqmaVU7TLecQjFN03QiFI6OmP5/9uAv5BP8Puj9u08qiWFNgyaQhinPm9j6wRSpBdMNJWVjHC+0YIzkQrRaS1uLRkSk3StXsBFK10gV3HqhVMuuwSKKC6IXLXSDGC0UNIJ/PlLD+9EhTckqkyVNUhPLYfdwtslJPG3azC9zZr6v1/HAUyiO4wtccdzXCpTjwgqurzmOB16BctwDCsUXdXMDynFhBcrxELriOI7jPlGgHMdxHMeX1RXHcRzHcRzH8QC74jiO4ziOiypQjgsqUI6H1BXHV5xC8UUVKMc9cH0NxRd1cwPKcQ8oFF9UgXJcUIFy3AMKxXFBCsVxfIErjuM4jgeaQnEcx/HQuuI4juM+UKAcF1Zwfc1xPPAKlOMhdcVxXytQjgsrUI7jOO6JAuU4jgu54viKUyiO4ziO4ziOe+CK43hIKdzccFyYQnFckEJxXNj1NRTHhSkUx/F5rjjuawXX1xwXVqAcF1SgHBd2cwPKcWEFynFBBcrxkLriOI7jOI7jOB5gVxzHcRzHcTEFynFhxfEQu+K4LygUX+DmBpTjwgqU4x5QKL5AgXLcAwrFF1WgHMdD4fqa4yF1xXE8pBSK4ziOe0Lh5objwhSK4/g8VxzHcRzHcRzHA+yK475WoBwXVKAcF1Zwfc1xYQXKcUEFynFhNzegHA+pK47jOI7jOI7jAXbFcV9QKI4LUiiOC7u+huK4MIXiOB54CsUXKFCOh9QVD7nPfOYz/MzP/Awf/vCHOY4XFSjHhd3cgHJcWIFy3AMKxRcoUI7juKArHlKf/OQn+YEf+AG+6Zu+iT/5J/8kf+AP/AF+7+/9vfzMz/wM/19+9+/+3cwMM8PMMDPMDB/84Ae5FwqU4ziO4ziO49fpiofUX/7Lf5mf/umf5m/9rb/Ff/pP/4nnnnsOle/7vu/jIx/5CF/Mxz72MT71qU/xp/7Un+LJJ5/kySef5Mknn+TJJ5/kG77hGziO4/j/k+I4juOhcMVD6DOf+Qz//J//c773e7+Xd7zjHVxdXfG1X/u1/PW//tf51Kc+xb/4F/+CL+ZDH/oQL/qe7/ke3vnOd/LOd76Td77znbzzne/k9a9/Pb8RCsUXKFCOe0ChOC5M4eaGL1CgHBemHBdWcH3NcWEFyvGQuuIh9KlPfYr3ve99/KE/9If4XF/zNV/Di1544QW+mP/8n/8zv+W3/BZe//rXczy4CpTjeKAoFMcFKRTHhV1fQ3Ecn+eKh9BrXvMa/uAf/IN87dd+LZ/rH/yDf8CLvu3bvo0v5r/8l//C133d1/Gd3/mdvPnNb+bNb34zf+JP/Akqfq1mhplhZpgZ3vve91LxiU98gueff56KioqKF1VUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFTcuXOHioqKioqKihdVVFRUPP/883ziE5+goqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKi4s6dO1RUVFRUVDz//PN84hOfoKKiouLTn/40H/3oR6moqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqLhz5w4VFRUVFRUVn/70p/noRz9KRUXFnTt3+OxnP0tFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXFnTt3qKioqKiouHPnDp/97GepqKio+PjH7/Lxj9+loqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKi4s6dO1RUVFRUVHz843f5+MfvUlFRUfHZz36WO3fuUFFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFR8d73vpeZYWaYGWaG41dccbzkQx/6EH/jb/wNfv/v//38nt/ze/hiPvShD/HhD3+Yt771rfztv/23+cEf/EH+23/7b/yxP/bH+IVf+AV+LXaX3WV32V2eeOIJVB555BFe97rXoaKiAqKgoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKicuvWLVRUVFRUVFRepKKiovKJT7yOb/zGR1BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG5desWKioqKioqr3vd63jkkUdQUVFR+ehHX8Vb3/oGVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbt26hYqKioqKisqrXvUq3vCGN6CiovLZz97i67/+q1FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG5desWKioqKioqt27d4qu/+qtRUVFRuXv3tXzTN70WFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVlVu3bqGioqKiovI1X/NavuZrXouKiorKnTtfzdvedgsVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFZUnnniC3WV32V12l+NXXPEA+8xnPsPdu3e5e/cud+/e5e7du3wxP/uzP8t3f/d38zt+x+/gySef5P/kiSee4P3vfz9/5s/8GR577DHe/e538/f+3t/jf/yP/8Hf//t/n9+I62sojgtTKI7jgadQHBekUBzHcR+44gH27LPP8uijj/Loo4/y6KOP8uijj/LJT36Sz/Xss8/yXd/1XXzzN38zP/ZjP8arX/1q/k9u377NN37jN/K53vSmN/EN3/ANVBzH8atTKI7joVWgHPeIws0Nn6dAOR5iVzzAvvVbv5WnnnqKp556iqeeeoqnnnqKV77ylfw/fvRHf5THH3+cd73rXfydv/N3ePWrX83/yd27d/mX//Jf8rGPfYwv5hWveAVfbgXKcWE3N6AcF1agHBdUoBzHcTzwrniAvfGNb+T27dvcvn2b27dvc/v2bV7xilfwove///38zb/5N/mLf/Ev8oM/+IP8av7n//yffM/3fA8/8RM/wef6yEc+woc//GHe/OY3cxzHcRzHcdx/rngI/fzP/zw/9EM/xG//7b+dN7zhDTz77LM8++yzPPvsszz77LP823/7b3nRBz/4Qf7cn/tz/If/8B9405vexDve8Q5+7Md+jJ/+6Z/mRT/3cz/He97zHl7/+tfzHd/xHfxGKNzccNwHCpTjHlEoPk+BclxYwfU1x/HAK1COh9gVD6F/82/+Df/rf/0v/ut//a88/vjjPP744zz++OM8/vjjPP744/zjf/yPedFHPvIRfvInf5MpMYcAACAASURBVJLnn3+eF/3wD/8w73jHO3jPe97DzPDt3/7t/Obf/Jt55plneM1rXsOXW4Fy3EMKxXE88K6voTguTKH4PAXKcY8oFMfxea54CL3rXe9id9lddpfdZXfZXXaXv/pX/yoveve7383u8thjj/Gi17zmNbzvfe/jP/7H/8jusru8//3v5+u+7us4juM4juM47k9XHPetgutrjuOBV6AcF3ZzA8pxYQXKcUHF8ZC74rgvKBTHhSkUn6dAOe4RheK4MIWbG47jgadQfAHleIhdcRzHcRzHPaFQvKxAOY7jwq447ls3N6AcF1agHBdUoBwXVqAcxwOv4Pqa4yF2xXFfUCiO46GgUBzHA0+hOC5IoTiOz3PFcd8qUI576PoaipcVKMeFFVxfc9xDCsXxFVagHBd2c8PxkLviOI7jeCgVKMfxUFCOh9gVx31BoTguTOHmhuM4juMBVqAcD7ErjuN4WYFy3GMKxctubkA57iGF4vMUKMc9dH0NxcsKlOMeUyiO42VXHPetAuU4juM4juP4DbjiOI7jK6B4WYFy3EMKxcsKlOPCCq6vOS6sOB5yVxz3DYXiZQXKcQ8pFC8rUI57TDmOh4LCzQ3HV0DxeZTjIXbFcV8qjuM4juP4dVA+T4FyPMSuOO5bynFhBdfXHBdWoBwXVKAcF3ZzA8pxHBd2xXHfUCiOC1Iojgu7vobiuDCF4rggheJlBcpxjykULylQjofcFcd9qUA5LuzmBpTjwgqU44IKlOM4jofCFcd9Q6E4LkihOC5M4eaG4ziO47iIK47jeFmBclxQgXJcgELxkoLra457TKF4WYFy3GPX11C8pEA5HnJXHPelAuU4juPLqjgurDiO4yvsiuO+cX0NxUsKrq85LkCheEmBctxjCsVLCpTjApSX3dyActxjyucpUI57TOHmhpcUKMdD7orjOI7joVOgHBdUoBwXVhwHVxz3DYWbG15ycwPKcQEKxUsKlOMeUyheUqAcF3B9DcVxYQrF8RV0fc3xkLviuC8VKMcFFSjHhRVcX3Mcx/Flo1Acx8uuOO4bCsVxYQrFcUEKxXFhCjc3vKRAOS5AoaBAOS5AoXjJzQ0ox0PuiuM4XlKgHBd2cwPKcWEFynE88AqU4yF3xXHfUCheUqAcF3B9DcVxYQoFBcpxAQoFBcpxIQoFzz0Hjz3GcQEKxXG87IrjvqFQvKRAOS5A4eYGCpTjOI7jAVKgHA+5K45flxdeeIEPfvCDvPDCC3y5FSjHhRVcX3NciEJBgXJcwNvfDs89BwXKcSHX11BwcwPKcSEKBQXK8ZC74viS/NIv/RI/8AM/wFve8ha+67u+i7e85S38+T//53nhhRf4clB47jlQjgtRKLi54bgghYIC5TgeWAo3N1CgHBei8NxzoBwHVxxfkh/+4R/mJ3/yJ/m7f/fvsrv8w3/4D/nZn/1Z/tJf+kt8OSgUxwUpFBS8/e0cF3J9DR/4ACjHBSn8+I/DY49xHA80hQ98AJTj4Irj1+x//+//zU/8xE/wnd/5nXzbt30bL/rmb/5mvuM7voOf+qmf4pd/+Zf5jVL48R+Hxx7juBCF4rgwheeeA+W4IIXnngPluJC3vx2eew6eew7e/naOC7m+huI4XnLF8Wv2ile8gn/37/4d3/u938vn+qVf+iW+6qu+ii+Hxx6Dgre/neOCFAre/naOC1EoeOwxjgtSKFCOC1FeohwXpPDcc/DYYxwHVxxfkt/0m34TjzzyCL/8y7/MCy+8wPvf/36efvppvu/7vo+rqyt+NTPDzDAzzAzvfe97qaio+Pqvv8Nf+At30aioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqLhz5w4VFRUVFRUVFRXvec/z/OE/fJeKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKO3fuUFFRUVFRUVGh8df+2vPcvn2HioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKO3fuUFFRUVFRUVFR8d3ffYd3v/sTaFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVNy5c4eKioqKioqKioof+qGP8p73PE9FRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUXFnTt3qKioqKioqKh4+9vjrW/9NLdv36GioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKiouK9730vM8PMMDPMDMevuOL4dflX/+pf8Za3vIW/8lf+Cm984xt517vexa/F7rK77C67yxNPPIGKisrb3naLH/mR16KioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqJy69YtVFRUVFRUVFRUvv/7X8eP/MhrUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUbl16xYqKioqKioqKirf//2v421vu4WKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKisqtW7dQUVFRUVFRUVF529tu8Y/+0SOoqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKio3Lp1CxUVFRUVFRUVlT/6R9/A93//61BRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVFRUVG5desWKioqKioqKioq//pfv4q3ve0WKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqTzzxBLvL7rK77C7Hr7ji+AKf+cxnuHv3Lnfv3uXu3bvcvXuX/7ff9bt+F//+3/97/uk//ac88sgj/JE/8kf47//9v3Mcx3Ecx3HcX644vsCzzz7Lo48+yqOPPsqjjz7Ko48+yic/+Uk+12tf+1pe+cpX8jt/5+/kR3/0R/nFX/xFnnnmGY77y9NPP81xeU8//TTHZT399NMcl/f0009zXN7TTz/NcXwprji+wLd+67fy1FNP8dRTT/HUU0/x1FNP8cpXvpK7d+/yUz/1U/zCL/wCn+u3/tbfyqte9So+9rGPcdxfnnnmGY7Le+aZZzgu65lnnuG4vGeeeYbj8p555hmO40txxfEF3vjGN3L79m1u377N7du3uX37Nq94xSv45Cc/yXve8x7+2T/7Z3yun//5n+cXf/EXub6+5jiO4ziO47i/XHH8mr3xjW/k9/2+38dTTz3FBz7wAV70cz/3c/zZP/tn+W2/7bfxx//4H+c4juM4juO4v1xxfEne97738Y53vIM//af/NDPDt3/7t/NVX/VVPPPMM7zuda/jOI7jOI7juL9ccXxJXv3qV/O+972P3WV32V3+yT/5J7zpTW/iV/Mt3/ItzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDO8aGaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZnjRzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8OLZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhhfNDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wMM8PMMDPMDDPDzDAzzAwzw8wwM8wML5oZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZZoaZYWaYGWaGmWFmmBlmhplhZpgZvuVbvoXj/3bFcTFPP/00u8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+6yu+wuu8vusrvsLrvL7rK77C67y+7yf7UHPzBVF/r/x59+TmcCITkTUzeWo/AkXEW8Oag7L4a0TLty8bJ5UxMdmlfZWuPOs5sX2+R2l5yRSy9hRFcyiYveq4t76S+WaUZy/XtoZS8ixmoXcyRxj1eIjod9d/ab2xnT+xPTvsn3/XhIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKSkIQkJCEJSUhCEpKQhCQkIQlJSEISkpCEJCQhCUlIQhKS2LlzJ+b/cTDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDXzWeffUZ3dzeXEgqFaG5upru7G3NtffbZZ3R3d2Ouv2AwSHNzM+3t7VxOKBSiubmZ7u5uzLURDAZpbm6mvb0d88MIBAI0NTURCAS4nFAoRHNzM93d3ZhrIxAI0NTURCAQwJjvw8FcF52dnTz88MMcP36cwSorK5k2bRrLli3jnnvuoaCggEAggPn+Ojs7efjhhzl+/DiDTZ8+HY/Hg8fjwePx4PF48Hg8NDU1YYamt7eXdevWkZqayrJly3jwwQe57777aG5uJlJlZSXTpk1j2bJl3HPPPRQUFBAIBDBXp7e3l3Xr1pGamsqyZct48MEHue+++2hubibS9OnT8Xg8eDwePB4PHo8Hj8dDU1MTZmj6+/tZt24dM2fOZMWKFcycOZPHHnuMQCBApMrKSqZNm8ayZcu45557KCgoIBAIYK5Of38/69atY+bMmaxYsYKZM2fy2GOPEQgEiDR9+nQ8Hg8ejwePx4PH48Hj8dDU1IQxkRzMNdfW1saiRYs4d+4cgzU0NLB582Y2btzIqVOn2Lt3L62traxfvx7z/bS1tbFo0SLOnTvHYF1dXfT19bF8+XJ8Ph8+nw+fz4fP5yMpKQkzNE8++ST79++nvLycU6dO8d577zFp0iRWr15NZ2cnYQ0NDWzevJmNGzdy6tQp9u7dS2trK+vXr8dcnSeffJL9+/dTXl7OqVOneO+995g0aRKrV6+ms7OTsK6uLvr6+li+fDk+nw+fz4fP58Pn85GUlIQZmtLSUhobG3nxxReRRF1dHUePHqW4uJiLGhoa2Lx5Mxs3buTUqVPs3buX1tZW1q9fj7k6paWlNDY28uKLLyKJuro6jh49SnFxMRd1dXXR19fH8uXL8fl8+Hw+fD4fPp+PpKQkjInkYK6ZYDBIeXk5ubm5jB8/nkuprKxk9uzZ5OXl4TgOKSkpeL1eGhsb6ejowAxdMBikvLyc3Nxcxo8fz6X4/X7CVq5cSU5ODjk5OeTk5JCTk0N8fDzmygWDQV5//XVWrVpFVlYWjuMwYcIEnnnmGfr6+njjjTcIq6ysZPbs2eTl5eE4DikpKXi9XhobG+no6MAMTTAY5PXXX2fVqlVkZWXhOA4TJkzgmWeeoa+vjzfeeIMwv99P2MqVK8nJySEnJ4ecnBxycnKIj4/HXLlQKMSuXbvIz89n1qxZhKWlpbF06VL27dvHwMAAYZWVlcyePZu8vDwcxyElJQWv10tjYyMdHR2YoQmFQuzatYv8/HxmzZpFWFpaGkuXLmXfvn0MDAwQ5vf7CVu5ciU5OTnk5OSQk5NDTk4O8fHxGBPJwVwz58+fZ8eOHRQVFVFVVcVg/f39tLa2kpWVRaS5c+cS1tTUhBm68+fPs2PHDoqKiqiqquJSPv30U0aNGkV8fDzm++nr66OsrIwFCxYQ6ZZbbiEsEAjQ399Pa2srWVlZRJo7dy5hTU1NmKHp6+ujrKyMBQsWEOmWW24hLBAIEPbpp58yatQo4uPjMd+Py+Xi5MmTrFq1ikj9/f2MGDGCsP7+flpbW8nKyiLS3LlzCWtqasIMjcvl4uTJk6xatYpI/f39jBgxgos+/fRTRo0aRXx8PMb8/ziYa+bmm2/m4MGDrFixgks5cuQIYePGjSOS2+0mKiqKTz75BDN0N998MwcPHmTFihVcTmtrKwkJCeTn55OcnExycjKPPPIIHR0dmKGJi4tj3rx5TJgwgUivvPIKYbNmzeLIkSOEjRs3jkhut5uoqCg++eQTzNDExcUxb948JkyYQKRXXnmFsFmzZhHW2tpKQkIC+fn5JCcnk5yczCOPPEJHRwdm6NxuN7GxsQwMDBAIBKitrWXnzp2sXr0ax3E4cuQIYePGjSOS2+0mKiqKTz75BDN0breb2NhYBgYGCAQC1NbWsnPnTlavXo3jOIS1traSkJBAfn4+ycnJJCcn88gjj9DR0YExgzmYa8btdhMdHc3lhEIhwtxuN4O5XC6CwSBm6NxuN9HR0fw3fr+f9vZ2MjIy2LZtGyUlJXzxxRcsXryYM2fOYL4fv9/Ps88+y/3338/dd99NKBQizO12M5jL5SIYDGK+P7/fz7PPPsv999/P3XffTZjf76e9vZ2MjAy2bdtGSUkJX3zxBYsXL+bMmTOYq/PBBx8wc+ZMNm7cyMSJE8nNzSUsFAoR5na7GczlchEMBjFX74MPPmDmzJls3LiRiRMnkpuby0V+v5/29nYyMjLYtm0bJSUlfPHFFyxevJgzZ85gTCQHY/4P2LBhA7W1taxZs4bMzEzy8vKorq7m7NmzvPTSS5ird/ToUQoKCpg8eTI+nw/zwzh69CgFBQVMnjwZn8/HRRs2bKC2tpY1a9aQmZlJXl4e1dXVnD17lpdeeglzdaZOnUpLSwuvvvoqsbGxLFy4kC+//BJzfU2dOpWWlhZeffVVYmNjWbhwIV9++SVhGzZsoLa2ljVr1pCZmUleXh7V1dWcPXuWl156CWMiOZgfTFRUFGHBYJDBQqEQbrcbc31kZ2eTkpJCpMTERJKSkujo6MBcnfr6elasWEFaWhrbt28nJiaGsKioKMKCwSCDhUIh3G435urV19ezYsUK0tLS2L59OzExMVyUnZ1NSkoKkRITE0lKSqKjowNzdUaPHs3IkSOZMmUKFRUVnD9/npqaGqKioggLBoMMFgqFcLvdmKs3evRoRo4cyZQpU6ioqOD8+fPU1NQQlp2dTUpKCpESExNJSkqio6MDYyI5mB/MjBkzCOvp6SFSMBjk22+/ZerUqZhrr6enh/fff5+uri4uxeVyYYauoqICr9dLbm4uVVVVxMTEcNGMGTMI6+npIVIwGOTbb79l6tSpmKtTUVGB1+slNzeXqqoqYmJiuKinp4f333+frq4uLsXlcmGuXE9PD/v27ePMmTNEGjNmDFFRUXR1dTFjxgzCenp6iBQMBvn222+ZOnUqZmh6enrYt28fZ86cIdKYMWOIioqiq6uLnp4e3n//fbq6urgUl8uFMZEczA/G7XaTnJxMY2Mjkd58803C0tPTMdded3c3K1euZNeuXUTq7Oykvb2d5ORkzNDU1tayZcsWioqKKCkpYTC3201ycjKNjY1EevPNNwlLT0/HDF1tbS1btmyhqKiIkpISBuvu7mblypXs2rWLSJ2dnbS3t5OcnIy5cr29vRQWFtLQ0ECk06dPc/78eW6//XbcbjfJyck0NjYS6c033yQsPT0dMzS9vb0UFhbS0NBApNOnT3P+/Hluv/12uru7WblyJbt27SJSZ2cn7e3tJCcnY0wkB/ODKigo4J133mHHjh0MDAzw0Ucf4fP5mDNnDpMmTcJce4mJiWRlZbF9+3b2799PWFtbG4WFhcTHx7N06VLMlTt9+jRPP/00d9xxB+PHj6e+vp76+nrq6+upr6/nxIkThBUUFPDOO++wY8cOBgYG+Oijj/D5fMyZM4dJkyZhhub06dM8/fTT3HHHHYwfP576+nrq6+upr6+nvr6eEydOkJiYSFZWFtu3b2f//v2EtbW1UVhYSHx8PEuXLsVcuYkTJzJnzhyee+45Dhw4QFhbWxtr167l1ltvZcmSJYQVFBTwzjvvsGPHDgYGBvjoo4/w+XzMmTOHSZMmYYZm4sSJzJkzh+eee44DBw4Q1tbWxtq1a7n11ltZsmQJiYmJZGVlsX37dvbv309YW1sbhYWFxMfHs3TpUoyJ5GB+UA899BCPP/44Pp+PKVOmkJeXx1133cWmTZsw109paSlZWVkUFhbi8XiYP38+0dHR1NTUEBcXh7lyhw8f5rvvvuPzzz/H6/Xi9Xrxer14vV68Xi979uwh7KGHHuLxxx/H5/MxZcoU8vLyuOuuu9i0aRNm6A4fPsx3333H559/jtfrxev14vV68Xq9eL1e9uzZQ1hpaSlZWVkUFhbi8XiYP38+0dHR1NTUEBcXhxmasrIysrKyePTRR/F4PMyfP58RI0ZQU1PD2LFjCXvooYd4/PHH8fl8TJkyhby8PO666y42bdqEuTplZWVkZWXx6KOP4vF4mD9/PiNGjKCmpoaxY8cSVlpaSlZWFoWFhXg8HubPn090dDQ1NTXExcVhTCQHc12MHj0aSWRnZzPYmjVraGlpYffu3Rw5coSqqiri4uIw39/o0aORRHZ2NpHi4uIoKyvD7/dTV1fHsWPHqK2tJSEhATM0ubm5SEISkpCEJCQhiaeeeoqL1qxZQ0tLC7t3ZbVbzwAAB8pJREFU7+bIkSNUVVURFxeHGbrc3FwkIQlJSEISkpDEU089RVhcXBxlZWX4/X7q6uo4duwYtbW1JCQkYIYuJiaGsrIyWlpaePnll/nwww/Zu3cviYmJRFqzZg0tLS3s3r2bI0eOUFVVRVxcHObqxMTEUFZWRktLCy+//DIffvghe/fuJTExkYvi4uIoKyvD7/dTV1fHsWPHqK2tJSEhAWMGczD/K1wuF6mpqcTFxWF+OG63m7S0NGJjYzE/DJfLRWpqKnFxcZgfjtvtJi0tjdjYWMz3N3LkSNLT0xkzZgyX43K5SE1NJS4uDnNtjBw5kvT0dMaMGcPluN1u0tLSiI2NxZjLcTDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGGOMMWYYczDGGDPs9ff3EwqFuFK9vb2EQiGMMWY4cDDGGHNZTz/9NBkZGWRkZJCRkUFGRgYZGRlkZGSQkZFBRkYGGRkZlJSUEFZUVERRURE/Jn6/n6ysLPr6+rhSFRUV/O53v8MYY4YDB2OMMZc1efJkMjMzyczMJDMzk6SkJL755hvuvPNOMjMzyczMJDMzE4/HQ9iFCxe4cOECPxYDAwM88cQTrF69mtjYWK7Ub37zG9577z0OHDiAMcbc6ByMMcZc1q9+9StKS0spLS2ltLSU/Px8whYvXkxpaSmlpaWUlpayaNEiwrZu3crWrVv5saipqeHcuXMsXbqUoYiNjSU/P5/S0lKMMeZG52CMMeaaOXHiBCdOnOCi48eP8/HHH9Pb28uePXsoKSmhoaGBgYEBwiSxdetWtm7diiQu59ChQ2zZsoUtW7Zw6NAhrlR1dTULFy7EcRwiffzxx1RVVVFSUsI//vEPvv76awZbtGgRn3/+OW+//TbGGHMjczDGGHPNPP/88zz//PNc9Kc//YnNmzezYMEC/vjHP/LWW2/x29/+ltWrV/OXv/yF3Nxc/v73v1NZWcmCBQtoamoi0n/+8x+WLl1KQUEBTU1NNDc3U1BQQH5+Pr29vfw3TU1NdHZ2Mnv2bCKVl5ezcOFCGhoa+Ne//sXGjRvJzs6mubmZSPHx8UyfPp2//vWvGGPMjczBGGPMdXXo0CEWLlzI8ePH+eCDD1iyZAkHDx6kurqa/fv3s2/fPt59912io6Opq6sj0saNG/H7/bzyyivs2rWL2tpadu/ejd/vZ9OmTfw37777LjfddBOpqalc1NvbS0VFBWvXrqW+vp7KykoOHjzIuHHj2LRpE4NNmzaNpqYmBgYGMMaYG5WDMcaY6yo6Opq1a9dy0axZswhbvnw5t912G2G33XYb6enpnDt3josCgQCvvfYaixYt4u677+ai1NRUfvnLX7Jnzx5CoRCX8+WXX5KYmIjjOFz073//m1AoxLlz57goJiaG5557jqqqKgb7yU9+woULF/D7/RhjzI3KwRhjzHX105/+lEiO4xA2btw4IrndbiIdO3aMUCiEJIqLiykuLqa4uJji4mLa2tq4cOECx44d43L8fj8JCQlEmjBhAj//+c/ZuXMnM2bMoKioiPr6euLj4xk7diyDjRo1irBvvvkGY4y5UTkYY4y5rm666SauRigUIiwYDNLT00NPTw89PT309PQwevRo7r//fm6++WYu57vvvsNxHAarrKykpKSEtLQ03nrrLbxeL/feey8VFRUM5nK5CBsYGMAYY25UDsYYY36URo4cSdiSJUsoLy+nvLyc8vJyysvLKS8vp7y8nJSUFC5n3Lhx9Pf3M5jjOCxatIg///nPtLS08MILLzB16lS2bNmCJCL19/cT5na7McaYG5WDMcaYH6V7772X6Oho/va3vzHY+vXrmTVrFn19fVzO5MmTOXnyJJGampqYMWMGTU1NhLlcLjIzMykoKCDsq6++ItJXX31FWFJSEsYYc6NyMMYY86PkcrlYs2YNhw8f5oknnqCjo4Ovv/6abdu2sWfPHubMmUN0dDSXk5qaSiAQIBAIcNH06dNxuVw8+eSTNDc309fXx4kTJ9i2bRtjx44lIyODSCdPnuTWW29l4sSJGGPMjcrBGGPMj9bq1avxer00NjbywAMP8LOf/Yzy8nKWLVvGhg0b+G+ys7MJO3jwIBfFxMTwwgsv4DgOy5YtY/r06fz6179mYGCAF198kZEjRxLp8OHDzJs3D2OMuZE5GGOMuWLZ2dlIYt68eVxKZWUllZWVXFRdXU1lZSWRMjMzkUR2djaRysvLqa6uZrCCggL++c9/8tprr1FXV0dLSwu///3vcblc/De333479957L6+99hqR0tLSePvttzl06BAvv/wyH374IfX19UyZMoVIzc3NnD17lsWLF2OMMTcyB2OMMT96juNw5513kpaWhsvl4ko99thjHDhwgM7OTgaLj48nPT2dMWPGcCm1tbU88MADJCYmYowxNzIHY4wxw1ZaWhpz587l+eefZyja2to4cOAA69atwxhjbnQOxhhjhrXi4mK+/vprenp6uFIHDhzgD3/4AwkJCRhjzI3OwRhjzLA2ZswYKioqGD16NFeqoKCAX/ziFxhjzHDgYIwxxhhjzDDmYIwxxhhjzDDmYIwxxhhjzDDmYIwxxhhjzDDmYIwxxhhjzDD2P+iQC/TBay+EAAAAAElFTkSuQmCC" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div></div><div class = "S0"></div><div class = 'SectionBlock containment active'><h1 class = "S1"><span class = "S2"><span class="S0">Exercise 19: Implementation of the phase advance controller.</span></span></h1><div class = "S4"><span class = "S2"><span class="S0">Execute model P5_Ex20.slx and visualize the behavior of the experimental control system and check the specification relative to the velocity constant.</span></span></div><div class = 'CodeBlock contiguous'><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S16">if </span><span class="S0">useExperimentalData</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S10">% Use Simulink</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> </span><span class="S0">o</span><span class="S0">pen </span><span class="S14">P5_Ex19.slx</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> run </span><span class="S14">P5_Ex19.slx</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S16">else</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> figure</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> plot(P5_real_ideal.time,</span><span class="S0">[</span><span class="S0">P5_real_ideal.signals.values(:,2,:)],</span><span class="S14">'r'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> hold </span><span class="S14">on</span><span class="S0">; grid </span><span class="S14">on</span><span class="S0">;</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> plot(P5_real_ideal.time,</span><span class="S0">[</span><span class="S0">P5_real_ideal.signals.values(:,3,:)],</span><span class="S14">'b'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> plot(P5_real_ideal.time,</span><span class="S0">[</span><span class="S0">P5_real_ideal.signals.values(:,1,:)],</span><span class="S14">'g'</span><span class="S0">)</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> xlim([10 39]); ylim([-3.1 2.1]);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> xlabel(</span><span class="S14">'Time (s)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> ylabel(</span><span class="S14">'Voltage (V)'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> title(</span><span class="S14">'Reference and real and ideal position output'</span><span class="S0">);</span></span></div></div><div class = 'inlineWrapper'><div class = "S8 lineNode"><span class = "S9"><span class="S0"> legend(</span><span class="S14">'Reference'</span><span class="S0">,</span><span class="S14">'Ideal Response'</span><span class="S0">,</span><span class="S14">'Real Response'</span><span class="S0">); </span></span></div></div><div class = 'inlineWrapper outputs'><div class = "S8 lineNode"><span class = "S9"><span class="S16">end</span></span></div><div class="outputParagraph" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 13.9999990463257px;"><div 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" style="white-space: normal; font-style: normal; color: rgb(64, 64, 64); font-size: 12px;"></div></div></div></div></div><div class = "S15"><span class = "S2"><span class="S0">As it can be seen, the real output has a constant error in front of a ramp-type input, but the real response is not the same as the ideal, this difference comes from the unmodelled dynamics of the system.</span></span></div></div></div><br><!-- <br>##### SOURCE BEGIN #####<br>%% *Session 5: Design of controllers in the frequency domain*<br>% The practices of the Automatic Control subject consist in the study of a servomechanism <br>% of angular positioning (LJ Technical Systems) controlled by a PC. The laboratory <br>% sessions P1 and P2 focus on the experimental analysis of the temporal and frequency <br>% responses of the system, respectively. Sessions P3 and P4 are dedicated to the <br>% design of PID controllers. Finally, in session P5 controllers will be designed <br>% in the frequency domain.<br>% <br>% *OBJECTIVE: Design a controller in the frequency domain for the position <br>% output of the plant studied in previous sessions so that the closed-loop system <br>% meets certain specifications in the frequency domain.*<br>% <br>% *In this session the student has to:*<br>% <br>% * *Design a controller by phase advance.*<br>% * *Experimentally verify the designed control system.*<br><br>% Alternate between the experiment data and the directory Results<br>% If you want to use the data in the directory Results = false<br>% If you want to use your own data = true<br>useExperimentalData = false;<br>%% Introduction<br>% In this practice, the phase advance and delay controllers are presented. These <br>% controllers are set to be in series (cascade) with the plant to be controlled <br>% and aim to modify the behavior of the system in closed loop. The control system <br>% must satisfy certain specifications defined in the frequency domain by means <br>% of a gain margin and/or a phase margin. For the design of controllers in the <br>% frequency domain, the discrete time systems are transformed into similar systems <br>% of continuous time and are then is antitransformed to have a digital controller. <br>% The methodology for the design of advance or phase delay controllers for continuous <br>% time systems is detailed below; then four exercises are proposed.<br>% <br>% The generic transfer function in s of an advance or phase delay controller <br>% is given by<br>% <br>% $$G_c \left(s\right)=K\frac{\frac{s}{\omega_z }+1}{\frac{s}{\omega_p }+1}$$<br>% <br>% The relation $\alpha =\frac{\omega_p }{\omega_z }$ for the case of $\omega_p <br>% >\omega_z$, or $\alpha =\frac{\omega_z }{\omega_p }$ for the case of $\omega_p <br>% <\omega_z$ it's called controller length.<br>% <br>% *PHASE ADVANCE CONTROLLERS*<br>% <br>% They correspond to the case in which $\omega_z <\omega_p$ and they serve <br>% to improve the transient response. In a certain range of frequencies, they increase <br>% (_advance_) the phase of the controlled system. The following procedure allows <br>% to determine how much the phase will increase and on what frequency the controller <br>% action should focus.<br>% <br>% The equations that must be verified so that $\Phi_{\mathrm{md}}$ be the <br>% phase margin of the feedback system are:<br>% <br>% $$\begin{array}{l}|G_c \left(j\;\omega_c \right)||\mathrm{GH}\left(j\;\omega_c <br>% \right)|=1\\180+\mathrm{arg}\left(G_c \left(j\;\omega_c \right)\right)+\mathrm{arg}\left(\mathrm{GH}\left(j\;\omega_c <br>% \right)\right)=\gamma_d \end{array}$$<br>% <br>% Taking $\omega_c =\sqrt{\omega_z \omega_p }=\omega_z \sqrt{\alpha }$ can <br>% be written as<br>% <br>% $$\begin{array}{l}|G_c \left(j\;\omega_z \sqrt{\alpha }\right)||\mathrm{GH}\left(j\;\omega_z <br>% \sqrt{\alpha }\right)|=1\\180+\mathrm{arg}\left(\frac{\alpha -1}{2\sqrt{\alpha <br>% }}\right)+\mathrm{arg}\left(\mathrm{GH}\left(j\;\omega_z \sqrt{\alpha }\right)\right)=\Phi_{\mathrm{md}} <br>% \end{array}$$<br>% <br>% The design of the controller is done by looking for an approximate solution <br>% of the previous system of equations and finally verifying that the closed loop <br>% system satisfies the specifications. It is a method of solution by trial and <br>% error. The approximate solution is obtained by solving:<br>% <br>% $$\begin{array}{l}\theta_c =\Phi_{\mathrm{md}} +\Delta -\Phi_{\mathrm{GH}} <br>% \\\alpha =\frac{1+\mathrm{sin}\;\theta_c }{1-\mathrm{sin}\;\theta_c }\\|\mathrm{GH}\left(j\;\omega_c <br>% \right)|=\frac{1}{\sqrt{\alpha }}\end{array}$$<br>% <br>% where $\Phi_{\mathrm{GH}}$ is the phase margin of the open-loop system <br>% multiplied by the stationary gain of the controller and $\Delta$ it is an additional <br>% margin of security that it introduces since an approximate system of equations <br>% is solved and no part of the system is exact. The solution provides the maximum <br>% phase advance provided by the controller, $\theta_c$, the length of the controller <br>% $\alpha$ and the central frequency $\omega_c$.<br>% <br>% The pulsations $\omega_z$ and $\omega_p$ are obtained from $\alpha$ and <br>% $\omega_c$.<br>% <br>% $$\omega_z =\frac{\omega_c }{\sqrt{\alpha }},\;\;\;\;\;\omega_p =\omega_c <br>% \sqrt{\alpha }=\omega_z \alpha$$<br>% <br>% <br>% <br>% COMMENTS:<br>% <br>% In case of obtaining $\theta_c >60$ is taken $k$ so that $\frac{\theta_c <br>% }{k}<60$, the controller is designed with $\frac{\theta_c }{k}$ and it applies<br>% <br>% $$G_c ={\left(\frac{\frac{s}{\omega_z }+1}{\frac{s}{\omega_p }+1}\right)}^k$$<br>% <br>% Previously, the above equation should be rewritten as<br>% <br>% $$|\mathrm{GH}\left(j\;\omega_c \right)|=\frac{1}{{\left(\sqrt{\alpha }\right)}^k <br>% }$$<br>% <br>% *PHASE DELAY CONTROLLERS*<br>% <br>% In this case $\omega_p <\omega_z$ and serve to improve the accuracy in <br>% steady state. The qualifier of phase delay comes from the fact that, in a certain <br>% frequency interval, the controller reduces (_delays_) the phase of the controlled <br>% system. As in the previous case, the equations that the controlled system must <br>% satisfy are:<br>% <br>% $$\begin{array}{l}|G_c \left(j\;\omega_c \right)||\mathrm{GH}\left(j\;\omega_c <br>% \right)|=1\\180+\mathrm{arg}\left(G_c \left(j\;\omega_c \right)\right)+\mathrm{arg}\left(\mathrm{GH}\left(j\;\omega_c <br>% \right)\right)=\gamma_d \end{array}$$<br>% <br>% In this case the frequency is determined $\omega_c$ that would provide <br>% the desired phase margin of the control system and is calculated $\alpha$ so <br>% that $\omega_c$ be the cutoff frequency to 0dB of this system. The controller <br>% is centered enough to the left of $\omega_c$ so that its effect is negligible <br>% in the phase of $|G_c \mathrm{GH}\left(j\;\omega_c \right)|$. As in the case <br>% of controllers by phase advance, the procedure is not exact but approximate, <br>% which is why you have to introduce an additional margin of security and do a <br>% check at the end.<br>% <br>% The variables $\theta_c ,\omega_c$ and $\alpha$ are obtained by solving <br>% the equations:<br>% <br>% $$\begin{array}{l}\theta_c =\gamma_d +\Delta -180\\\mathrm{arg}\left(\mathrm{GH}\left(j\;\omega_c <br>% \right)\right)=\theta_c \\\alpha =|\mathrm{GH}\left(j\;\omega_c \right)|\end{array}$$<br>% <br>% Finally,<br>% <br>% $$\omega_z =\frac{\omega_c }{10},\;\;\omega_p =\frac{\omega_z }{\alpha <br>% }$$<br>% <br>% COMMENTS:<br>% <br>% * The algorithm can only be applied if the equation $\arg \left(\textrm{GH}\left(j\;\omega_c <br>% \right)\right)=\theta_c$ has a solution.<br>% * In the case that $\alpha >12$ is designed with $\alpha^{\wedge } =\sqrt[k]{\alpha <br>% }$ for $k$ natural sufficiently large and is applied<br>% <br>% $$G_c ={\left(\frac{\frac{s}{\omega_z }+1}{\frac{s}{\omega_p }+1}\right)}^k$$<br>%% Exercise 16: Determination of the system's gain and phase margins.<br>% Consider the laboratory plant with position output. Using MATLAB, check that <br>% the gain and phase margins of the digital system and the equivalent system that <br>% results from applying the bilinear transformation match.<br>%%<br>% Parameters of the plant <br>Kpot=1.62;<br>N=9;<br>K0=0.82/0.017;<br>tau0=0.26;<br>planta=tf([Kpot*K0/N],[tau0,1,0])<br>% Discrete time model<br>Ts=0.01;<br>plantad=c2d(planta,Ts,'zoh') ;<br><br>% Bilinear transform<br>plantaw=d2c(plantad,'tustin') ;<br><br>% Verification of the coincidence in the calculation of margins<br>display('Margins of the bilineal plant')<br>[Gmw,Pmw,Wcgw,Wcpw]=margin(plantaw)<br>display('Margins of the discrete plant')<br>[Gmd,Pmd,Wcgd,Wcpd]=margin(plantad)<br>margin(plantaw)<br>hold on<br>margin(plantad)<br>legend('bilineal system','discrete system','Location', 'SouthEast')<br>%% <br>% As it can be seen, the margins obtained by the _margin()_ command of the <br>% two systems to be analyzed are exactly the same<br>%% Exercise 17: Design of a phase advance controller.<br>% With the help of MATLAB, design a phase advance controller that makes the <br>% closed loop system, for the position control of the <br>% <br>% laboratory plant, with a sampling period Ts = 0.01, have a phase margin <br>% of 45º and a static error of the 10% in front of a ramp input. Consider an additional <br>% safety phase margin of $\Delta =15º$.<br>%%<br>% Parameters of the plant<br>Kpot=1.62;<br>N=9;<br>K0=0.82/0.017;<br>tau0=0.26;<br>planta=tf([Kpot*K0/N],[tau0,1,0])<br>% Discrete time model<br>Ts=0.01;<br>plantad=c2d(planta,Ts,'zoh') ;<br><br>% Bilinear transform<br>plantaw=d2c(plantad,'tustin') ;<br><br>% Calculation of the necessary gain<br>% Velocity error coefficient<br>errordes=0.1;<br>Kv=(1/errordes);<br><br>% Calculation of the gain increase needed<br>% (Controller gain)<br>Kvplanta=Kpot*K0/N;<br>Kcontrolador=Kv/Kvplanta<br>% Calculation of the phase margin<br>[Gm,Pm,Wcg,Wcp]=margin(Kcontrolador*plantaw)<br>% Calculation of the phase that the controller must add<br>gamma=45;<br>delta=15;<br>theta=(gamma+delta-Pm)* pi /180;<br><br>% Calculation of the alpha parameter<br>alpha=(1+sin(theta))/(1-sin(theta));<br><br>% Search for the point where the system has the gain 1/sqrt(alpha)<br>[aux1,aux2,aux3,wc]=margin(Kcontrolador*plantaw*sqrt(alpha));<br>wc<br>% Pole and zero placement<br>wz=wc/sqrt(alpha); %Avance<br>wp=wz*alpha ;<br><br>% Construction of the controller<br>Gcw=tf([1/wz,1],[1/wp,1]);<br><br>% Reverse Bilinear: obtaining the Controller<br>Gcz=c2d(Gcw,Ts,'tustin')<br>% Frequency response in open-loop<br>% (Verifying the fulfillment of the specifications)<br>figure<br>Gczplantad=series(Kcontrolador*Gcz,plantad);<br>Gczplantaw=d2c(Gczplantad,'tustin');<br>margin(Kcontrolador*plantaw)<br>hold on<br><br><br>margin(Gczplantaw)<br>grid<br>disp('see if you like the new phase margin ; press any key')<br>pause<br><br>% Construction of the closed-loop system<br>closed=feedback(Gczplantad,1);<br>err=1-closed;<br><br>% Verification of the temporary response<br>figure<br>grao=tf([1 0],[1,-1],Ts);<br>step(minreal(err*grao)*Ts) ;<br>grid<br>title('error in the ramp response')<br>% Preparation of data for Simulink <br><br>disp('coefficients of the transfer function of the unit gain controller in z')<br>Kc=dcgain(Gcz)<br>Zc=zero(Gcz)<br>Pc=pole(Gcz)<br>%% Exercise 18: Simulation analysis.<br>% * Compare the bode diagrams of the open-loop system with the designed controller <br>% by adding delays of one, two, three, ... sampling periods. <br>% * How many periods of delay can the system sustain while maintaining stability?<br>% <br>% Execute the model P5_Ex19.slx, define the parameters of the designed controller. <br>% See the temporary response of the system.<br>%%<br>% Delays generation<br>unret=tf([1],[1 0],Ts) ;<br>dosret=tf([1],[1 0 0],Ts) ;<br>tresret=tf([1],[1 0 0 0],Ts) ;<br><br>% Visualization of the different Bode diagrams<br>figure<br>margin(unret*Gcz*plantad*Kcontrolador)<br>hold all<br>margin(dosret*Gcz*plantad*Kcontrolador)<br>margin(tresret*Gcz*plantad*Kcontrolador)<br>legend('one','two','three')<br>%% <br>% On one hand, by creating more delays, we can observe how the system becomes <br>% unstable from delays of 13 sampling periods. On the other hand, simulating the <br>% model P5_Ex19.slx we can see how in the response to a ramp type input we get <br>% an error of 0.01.<br><br>if useExperimentalData<br> % Use Simulink<br> open P5_Ex19.slx<br> run P5_Ex19.slx;<br>else<br> FileName = 'P5_real_ideal.mat';<br> cd('..')<br> FolderName = [pwd filesep 'Common' filesep 'Resultados' filesep 'Prac5'];<br> File = fullfile(FolderName, FileName);<br> load(File); <br>end<br><br>figure<br>plot(P5_real_ideal.time,[P5_real_ideal.signals.values(:,2,:)],'r')<br>hold on; grid on;<br>plot(P5_real_ideal.time,[P5_real_ideal.signals.values(:,3,:)],'b')<br>xlim([10 39]); ylim([-3.1 2.1]);<br>xlabel('Time (s)');<br>ylabel('Voltage (V)');<br>title('Reference and ideal position output');<br>legend('Reference','Ideal Response');<br>%% Exercise 19: Implementation of the phase advance controller.<br>% Execute model P5_Ex20.slx and visualize the behavior of the experimental control <br>% system and check the specification relative to the velocity constant.<br>%%<br>if useExperimentalData<br> % Use Simulink<br> open P5_Ex19.slx<br> run P5_Ex19.slx;<br>else<br> figure<br> plot(P5_real_ideal.time,[P5_real_ideal.signals.values(:,2,:)],'r')<br> hold on; grid on;<br> plot(P5_real_ideal.time,[P5_real_ideal.signals.values(:,3,:)],'b')<br> plot(P5_real_ideal.time,[P5_real_ideal.signals.values(:,1,:)],'g')<br> xlim([10 39]); ylim([-3.1 2.1]);<br> xlabel('Time (s)');<br> ylabel('Voltage (V)');<br> title('Reference and real and ideal position output');<br> legend('Reference','Ideal Response','Real Response'); <br>end<br>%% <br>% As it can be seen, the real output has a constant error in front of a <br>% ramp-type input, but the real response is not the same as the ideal, this difference <br>% comes from the unmodelled dynamics of the system.<br>##### SOURCE END #####<br>--></body></html>