Integer Hulls, Z-Polyhedra and Presburger Arithmetic in Action
Rui-Juan JingYuzhuo LeiChristopher F. S. MaligecMarc Moreno MazaChirantan Mukherjeerjing@ujs.edu.cn
School of Mathematical Science,
Jiangsu University
Zhenjiang, Chinaylei83@uwo.caOntario Research Center for
Computer Algebra, University of
Western Ontario
London, Ontario, Canadacmaligec@uwo.caOntario Research Center for
Computer Algebra, University of
Western Ontario
London, Ontario, Canadamoreno@csd.uwo.caOntario Research Center for
Computer Algebra, University of
Western Ontario
London, Ontario, Canadacmukher@uwo.caOntario Research Center for
Computer Algebra, University of
Western Ontario
London, Ontario, Canada
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<Text-field style="Heading 1" layout="Heading 1"><Font foreground="[153,51,0]">IntegerHull and ZPolyhedra</Font></Text-field><Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">IntegerHull of a 3D tetrahedron</Font></Text-field>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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">ZPolyhedralSets and IntegerPointDecomposition: a 2D Example</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjRGKy1JI21pR0YkNiVRJmluZXFzRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRistRiw2LlEqJmNvbG9uZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRkYrLUkobWZlbmNlZEdGJDYmLUYjNkAtSSNtbkdGJDYkUSIzRidGLy1GLDYuUScmc2RvdDtGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZERkYtRkk2JVEieEYnRkxGT0YrLUYsNi5RKiZ1bWludXMwO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yMjIyMjIyZW1GJy9GRUZkb0ZGRistRmduNiRRIjJGJ0YvRmpuLUZJNiVRInlGJ0ZMRk9GKy1GLDYuUSYmbGVxO0YnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRkYrLUZnbjYkUSMxMkYnRi8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkZGYG9GZm9Gam5GXW8tRiw2LlEoJm1pbnVzO0YnRi9GMkY1RjdGOUY7Rj1GP0Zjb0Zlb0ZGRmZuRmpuRmlvRlxwLUZnbjYkUSMxMEYnRi9GYnBGaW9GXHBGYG8tRmduNiRRIjFGJ0YvRi9GLy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GLDYuUSI7RidGL0YyRmVwRjdGOUY7Rj1GP0ZBRlZGRi8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSJMRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi5RKSZBc3NpZ247RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRi1GSTYlUShMYXR0aWNlRidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNigtRkk2I1EhRictRiM2Ji1GSTYlUSdNYXRyaXhGJ0ZMRk8tRiw2LlEwJkFwcGx5RnVuY3Rpb247RidGL0YyRjVGN0Y5RjtGPUY/RkFGREZGLUZlbjYkLUZlbjYmLUYjNictRmVuNiYtRiM2Ji1JI21uR0YkNiRRIjJGJ0YvLUYsNi5RIixGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQS9GRVEsMC4zMzMzMzMzZW1GJ0ZGLUZfcDYkUSIzRidGL0YvRi8vJSVvcGVuR1EnJmxzcWI7RicvJSZjbG9zZUdRJyZyc3FiO0YnRmJwLUZlbjYmLUYjNiYtRl9wNiRRIjBGJ0YvRmJwLUZfcDYkUSIxRidGL0YvRi9GW3FGXnFGK0YvRi9GW3FGXnFGL0YvRmJwLUYjNiYtRkk2JVEnVmVjdG9yRidGTEZPRmFvLUZlbjYkLUZlbjYmLUYjNiZGZXFGYnBGZXFGL0YvRltxRl5xRi9GL0ZpbkYvRi9GKy1GLDYuUSI7RidGL0YyRmVwRjdGOUY7Rj1GP0ZBRlZGRi8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSR6cHNGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRiw2LlEpJkFzc2lnbjtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGVUZGLUZJNiVRL1pQb2x5aGVkcmFsU2V0RidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNiwtRkk2JVEmaW5lcXNGJ0ZMRk8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkYtRmVuNiYtRiM2Ji1GSTYlUSJ4RidGTEZPRlxvLUZJNiVRInlGJ0ZMRk9GL0YvLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRitGXG8tRmVuNiYtRiM2JS1GLDYuUSM6LUYnRi9GMkY1RjdGOUY7Rj1GP0ZBRkRGRi1GSTYlUShsYXR0aWNlRidGTEZPRi9GLy9GXXBRJyZhcG9zO0YnL0ZgcEZdcS1GLDYuUSkmZXF1YWxzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRi1GSTYlUSJMRidGTEZPRitGL0YvRistRiw2LlEiO0YnRi9GMkZfb0Y3RjlGO0Y9Rj9GQUZWRkYvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjRGK0YrLUkjbWlHRiQ2JVEkcmVzRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi5RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZVRkYtRkk2JVE6SW50ZWdlclBvaW50RGVjb21wb3NpdGlvbkYnRkxGTy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUZJNiVRJHpwc0YnRkxGT0YvRi8tRiw2LlEiO0YnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBRlZGRkYrLyUrZXhlY3V0YWJsZUdGNEYvLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSxkYXJrX3NoYWRvd0YnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YrLUYsNi5RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZVRkZGKy1GSTYlUTdFbnVtZXJhdGVJbnRlZ2VyUG9pbnRzRidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNiUtRkk2JVEkcmVzRidGTEZPLUZlbjYmLUYjNiQtSSNtbkdGJDYkUSIxRidGL0YvRi8vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGL0YvLUYsNi5RIjtGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQUZWRkYvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSZsc19wc0YnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YrLUYsNi5RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZVRkZGKy1JKG1mZW5jZWRHRiQ2Ji1GIzYlLUZJNiVRJHNlcUYnRkxGTy1GWDYkLUYjNiwtRkk2JVEuUG9seWhlZHJhbFNldEYnRkxGTy1GWDYkLUYjNiQtRkk2JVEicEYnRkxGT0YvRi8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkZGK0Zkb0YrLUYsNjBRI2luRicvJSVib2xkR0ZOL0YwUSVib2xkRicvJStmb250d2VpZ2h0R0ZjcEYyRjVGN0Y5RjtGPUY/RkFGREZGRistRkk2JVEsZGFya19zaGFkb3dGJ0ZMRk9GL0YvRi9GLy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GLDYuUSI6RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGRistRkk2JVEjcHNGJ0ZMRk9GUUYrRl1vLUZYNiQtRiM2Ji1GSTYlUSZpbmVxc0YnRkxGT0Znby1GWDYmLUYjNiYtRkk2JVEieEYnRkxGT0Znby1GSTYlUSJ5RidGTEZPRi9GL0ZpcEZccUYvRi9GX3FGKy8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjRGKy1JI21pR0YkNiVRJVBsb3RGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2LC1GUjYmLUYjNigtRkk2JVEjcHNGJ0ZMRk8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkYtRkk2JVEjb3BGJ0ZMRk8tRlI2JC1GIzYkLUZJNiVRJmxzX3BzRidGTEZPRi9GL0YrRi9GLy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0Znbi1GSTYlUSZjb2xvckYnRkxGTy1GLDYuUSkmZXF1YWxzO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZkcEZGLUZSNiYtRiM2KS1GSTYjUSFGJy1JI21zR0YkNiNRJHJlZEYnRmduLUZJNiVRJHNlcUYnRkxGTy1GUjYkLUYjNi5GanAtRl5xNiNRJWJsdWVGJ0Znbi1GSTYlUSJpRidGTEZPRistRiw2LlEiPUYnRi9GMkY1RjdGOUY7Rj1GP0ZjcEZlcEZGLUkjbW5HRiQ2JFEiMUYnRi8tRiw2LlEjLi5GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRidGREZGRistRkk2JVEpbnVtZWxlbXNGJ0ZMRk9GYG9GL0YvRitGL0YvRmdvRmpvRmduLUZJNiVRLXRyYW5zcGFyZW5jeUYnRkxGT0Zeci1GUjYmLUYjNictRmJyNiRRJDAuN0YnRi9GZ25GYXEtRlI2JC1GIzYtLUZicjYkUSQwLjFGJ0YvRmduRltyRitGXnJGYXJGZXJGK0ZqckZgb0YvRi9GL0YvRmdvRmpvRi9GLy1GLDYuUSI7RidGL0YyRmpuRjdGOUY7Rj1GP0ZBRmVwRkYvJStleGVjdXRhYmxlR0Y0Ri8=<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">ZPolyhedralSets and IntegerPointDecomposition: a 3D Example</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjRGKy1JI21pR0YkNiVRJmluZXFzRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi5RKSZBc3NpZ247RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRi1JKG1mZW5jZWRHRiQ2Ji1GIzY8LUZJNiNRIUYnLUYjNictSSNtbkdGJDYkUSIwRidGLy1GLDYuUSUmbGU7RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGLUYjNidGZm4tRiM2KEZmbi1GIzYlLUYsNi5RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRicvRkVGXHBGRi1GXG82JFEjMTZGJ0YvRi8tRiw2LlEnJnBsdXM7RidGL0YyRjVGN0Y5RjtGPUY/RltwRl1wRkYtRiM2Ji1GXG82JFEiMkYnRi8tRiw2LlExJkludmlzaWJsZVRpbWVzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZBRkRGRi1GSTYlUSJ5RidGTEZPRi9GZm5GL0ZhcC1GSTYlUSJ6RidGTEZPRi9GZm5GLy1GLDYuUSIsRidGL0YyL0Y2Rk5GN0Y5RjtGPUY/RkEvRkVRLDAuMzMzMzMzM2VtRidGRi1GIzYnRltvRl9vLUYjNihGZm4tRiM2KEZmbi1GIzYoRmZuLUYjNiVGaG8tRlxvNiRRIzcyRidGL0YvRmFwLUYjNiYtRlxvNiRRIjRGJ0YvRmlwLUZJNiVRInhGJ0ZMRk9GL0ZmbkYvRmFwLUYjNiZGZ3JGaXBGXHFGL0ZmbkYvRmFwLUYjNiYtRlxvNiRRIjNGJ0YvRmlwRl9xRi9GZm5GL0ZmbkYvRmJxLUYjNidGW29GX28tRiM2J0ZmbkZkcEZob0ZfcUYvRmZuRi9GYnEtRiM2J0Zbb0Zfby1GIzYoRmZuLUYjNihGZm4tRiM2KEZmbi1GIzYlRmhvLUZcbzYkUSMyNEYnRi9GL0ZhcEZlckZmbkYvRmFwRl1zRmZuRi9GaG9GX3NGZm5GL0ZmbkYvRmJxLUYjNidGW29GX28tRiM2KEZmbi1GIzYoRmZuLUYjNiZGaG9GZXJGZm5GL0ZhcEZdc0ZmbkYvRmFwRl9zRmZuRi9GZm5GL0ZicS1GIzYnRltvRl9vLUYjNihGZm4tRiM2KEZmbi1GIzYnLUZcbzYkUSM0OEYnRi9GaG9GZXJGZm5GL0ZhcEZdc0ZmbkYvRmhvRl9zRmZuRi9GZm5GL0ZicS1GIzYnRltvRl9vLUYjNihGZm4tRiM2KEZmbkZjdUZob0Zdc0ZmbkYvRmFwRl9zRmZuRi9GZm5GL0ZicS1GIzYnRltvRl9vLUYjNidGZm4tRiM2Jy1GXG82JFEiOEYnRi9GaG9GZHBGZm5GL0ZhcEZfcUYvRmZuRi9GYnEtRiM2J0Zbb0Zfby1GIzYoRmZuLUYjNihGZm5GXnRGaG9GXXNGZm5GL0ZhcEZfc0ZmbkYvRmZuRi9GYnEtRiM2J0Zbb0Zfby1GIzYnRmZuLUYjNidGYnRGaG9GZHBGZm5GL0Zob0ZfcUYvRmZuRi9GYnEtRiM2J0Zbb0Zfby1GIzYoRmZuLUYjNihGZm4tRiM2J0ZidEZhcEZlckZmbkYvRmhvRl1zRmZuRi9GaG9GX3NGZm5GL0ZmbkYvRmJxLUYjNidGW29GX28tRiM2KEZmbi1GIzYoRmZuLUYjNictRlxvNiRRIzk2RidGL0Zob0ZlckZmbkYvRmhvRl1zRmZuRi9GaG9GX3NGZm5GL0ZmbkYvRmZuRi9GLy8lJW9wZW5HUScmbHNxYjtGJy8lJmNsb3NlR1EnJnJzcWI7RidGKy1GLDYuUSI7RidGL0YyRmVxRjdGOUY7Rj1GP0ZBRlZGRi8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjRGKy1JI21pR0YkNiVRJXZhcnNGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRiw2LlEqJmNvbG9uZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRi1JKG1mZW5jZWRHRiQ2Ji1GIzYoLUZJNiVRInhGJ0ZMRk8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkYtRkk2JVEieUYnRkxGT0Zpbi1GSTYlUSJ6RidGTEZPRi9GLy8lJW9wZW5HUScmbHNxYjtGJy8lJmNsb3NlR1EnJnJzcWI7RictRiw2LlEiOkYnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRi1GSTYlUSJMRidGTEZPLUYsNi5RKSZBc3NpZ247RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGLUZJNiVRKExhdHRpY2VGJ0ZMRk8tRlg2JC1GIzYoLUZJNiNRIUYnLUYjNiYtRkk2JVEnTWF0cml4RidGTEZPLUYsNi5RMCZBcHBseUZ1bmN0aW9uO0YnRi9GMkY1RjdGOUY7Rj1GP0ZBRkRGRi1GWDYkLUZYNiYtRiM2KC1GWDYmLUYjNigtSSNtbkdGJDYkUSIxRidGL0Zpbi1GYXI2JFEiMEYnRi9GaW4tRmFyNiRRIjJGJ0YvRi9GL0Zlb0Zob0Zpbi1GWDYmLUYjNihGZHJGaW4tRiM2JS1GLDYuUSgmbWludXM7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjIyMjIyMjJlbUYnL0ZFRmRzRkZGYHJGL0ZpbkZgckYvRi9GZW9GaG9GaW4tRlg2Ji1GIzYoRmRyRmluRmRyRmluRmdyRi9GL0Zlb0Zob0YvRi9GZW9GaG9GL0YvRmluLUYjNiYtRkk2JVEnVmVjdG9yRidGTEZPRmNxLUZYNiQtRlg2Ji1GIzYoRmRyRmluRmRyRmluRmByRi9GL0Zlb0Zob0YvRi9GW3FGL0YvRistRiw2LlEiO0YnRi9GMkZcb0Y3RjlGO0Y9Rj9GQUZWRkYvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSVwb2x5RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRistRiw2LlEqJmNvbG9uZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRkYrLUZJNiVRLlBvbHloZWRyYWxTZXRGJ0ZMRk8tSShtZmVuY2VkR0YkNiQtRiM2Ji1GSTYlUSZpbmVxc0YnRkxGTy1GLDYuUSIsRidGL0YyL0Y2Rk5GN0Y5RjtGPUY/RkEvRkVRLDAuMzMzMzMzM2VtRidGRi1GSTYlUSV2YXJzRidGTEZPRi9GLy1GLDYuUSI7RidGL0YyRl9vRjdGOUY7Rj1GP0ZBRlZGRkYrLyUrZXhlY3V0YWJsZUdGNEYvLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSR6cHNGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRiw2LlEpJkFzc2lnbjtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGVUZGLUZJNiVRL1pQb2x5aGVkcmFsU2V0RidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNistRkk2JVEmaW5lcXNGJ0ZMRk8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkYtRkk2JVEldmFyc0YnRkxGT0Zcby1GZW42Ji1GIzYlLUYsNi5RIzotRidGL0YyRjVGN0Y5RjtGPUY/RkFGREZGLUZJNiVRKGxhdHRpY2VGJ0ZMRk9GL0YvLyUlb3BlbkdRJyZhcG9zO0YnLyUmY2xvc2VHRmFwLUYsNi5RKSZlcXVhbHM7RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGLUZJNiVRIkxGJ0ZMRk9GK0YvRi9GKy1GLDYuUSI7RidGL0YyRl9vRjdGOUY7Rj1GP0ZBRlZGRi8lK2V4ZWN1dGFibGVHRjRGLw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSRyZXNGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRiw2LlEqJmNvbG9uZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRi1GSTYlUTpJbnRlZ2VyUG9pbnREZWNvbXBvc2l0aW9uRidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNiQtRkk2JVEkenBzRidGTEZPRi9GLy1GLDYuUSI7RidGL0YyL0Y2Rk5GN0Y5RjtGPUY/RkFGVkZGRisvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSxkYXJrX3NoYWRvd0YnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YrLUYsNi5RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZVRkZGKy1GSTYlUTdFbnVtZXJhdGVJbnRlZ2VyUG9pbnRzRidGTEZPLUkobWZlbmNlZEdGJDYkLUYjNiUtRkk2JVEkcmVzRidGTEZPLUZlbjYmLUYjNiQtSSNtbkdGJDYkUSIxRidGL0YvRi8vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGL0YvLUYsNi5RIjtGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQUZWRkYvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSZsc19wc0YnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YrLUYsNi5RKiZjb2xvbmVxO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZVRkZGKy1JKG1mZW5jZWRHRiQ2Ji1GIzYlLUZJNiVRJHNlcUYnRkxGTy1GWDYkLUYjNiwtRkk2JVEuUG9seWhlZHJhbFNldEYnRkxGTy1GWDYkLUYjNiQtRkk2JVEicEYnRkxGT0YvRi8tRiw2LlEiLEYnRi9GMi9GNkZORjdGOUY7Rj1GP0ZBL0ZFUSwwLjMzMzMzMzNlbUYnRkZGK0Zkb0YrLUYsNjBRI2luRicvJSVib2xkR0ZOL0YwUSVib2xkRicvJStmb250d2VpZ2h0R0ZjcEYyRjVGN0Y5RjtGPUY/RkFGREZGRistRkk2JVEsZGFya19zaGFkb3dGJ0ZMRk9GL0YvRi9GLy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJy1GLDYuUSI6RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGRistRkk2JVEjcHNGJ0ZMRk9GUUYrRl1vLUZYNiQtRiM2Ji1GSTYlUSZpbmVxc0YnRkxGT0Znby1GSTYlUSV2YXJzRidGTEZPRi9GL0ZfcUYrLyUrZXhlY3V0YWJsZUdGNEYvLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSRwczFGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGKy1GLDYuUSomY29sb25lcTtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGVUZGRistRkk2JVEuUG9seWhlZHJhbFNldEYnRkxGTy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUZlbjYmLUYjNmp0LUZJNiVRInpGJ0ZMRk8tRiw2LlElJmxlO0YnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRi1JI21uR0YkNiRRIjlGJ0YvLUYsNi5RIixGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQS9GRVEsMC4zMzMzMzMzZW1GJ0ZGLUYsNi5RKiZ1bWludXMwO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yMjIyMjIyZW1GJy9GRUZhcEZGRl1vLUYsNi5RJiZsZXE7RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGRl1wLUZkbzYkUSI3RidGL0Znb0ZdcC1GZG82JFEiMkYnRi9GKy1GSTYlUSJ5RidGTEZPLUYsNi5RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj9GYHBGYnBGRkZdb0ZjcEZdcC1GZG82JFEjMTZGJ0YvRmdvRl1wRmlwRitGXHEtRiw2LlEiK0YnRi9GMkY1RjdGOUY7Rj1GP0ZgcEZicEZGRl1vRmNwLUZkbzYkUSIwRidGL0Znb0ZpcEYrRlxxRl9xRl1vRmNwLUZkbzYkUSI4RidGL0Znb0ZpcEYrRlxxRmVxRl1vRmNwLUZkbzYkUSMyNEYnRi9GZ29GXXAtRmRvNiRRIjRGJ0YvRistRkk2JVEieEYnRkxGT0ZfcUZhckYrRlxxRl9xLUZkbzYkUSIzRidGL0YrRl1vRmNwRl1wLUZkbzYkUSM3MkYnRi9GZ29GXXBGYXJGK0ZkckZfcUZhckYrRlxxRmVxRmdyRitGXW9GY3BGXXBGXnJGZ29GXXBGYXJGK0ZkckZlcUZhckYrRlxxRl9xRmdyRitGXW9GY3BGXXBGXnJGZ29GXXBGYXJGK0ZkckZlcUZhckYrRlxxRmVxRmdyRitGXW9GY3BGXnJGZ29GYXJGK0ZkckZfcUZhckYrRlxxRl9xRmdyRitGXW9GY3BGaHFGZ29GYXJGK0ZkckZfcUZhckYrRlxxRmVxRmdyRitGXW9GY3AtRmRvNiRRIzQ4RidGL0Znb0ZhckYrRmRyRmVxRmFyRitGXHFGX3FGZ3JGK0Zdb0ZjcEZdc0Znby1GIzYmRmFyLUYsNi5RMSZJbnZpc2libGVUaW1lcztGJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZERkZGZHJGLy1GLDYuUScmcGx1cztGJ0YvRjJGNUY3RjlGO0Y9Rj9GYHBGYnBGRi1GIzYmRmFyRmJzRlxxRi9GZXMtRiM2JkZnckZic0Zdb0YvRmBvLUZkbzYkUSM5NkYnRi9GL0YvLyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnRmdvLUZlbjYmLUYjNihGZHJGZ29GXHFGZ29GXW9GL0YvRl90RmJ0Ri9GLy1GLDYuUSI6RidGL0YyRjVGN0Y5RjtGPUY/RlRGVkZGRisvJStleGVjdXRhYmxlR0Y0Ri8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY0LUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSRwczFGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRictRiw2LlEqJmNvbG9uZXE7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjI3Nzc3NzhlbUYnL0ZFRlVGRkYrLUZJNiVRLlBvbHloZWRyYWxTZXRGJ0ZMRk8tSShtZmVuY2VkR0YkNiQtRiM2JC1GZW42Ji1GIzYuLUZJNiVRInhGJ0ZMRk8tRiw2LlEiPUYnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRi1JI21uR0YkNiRRIjlGJ0YvLUYsNi5RIixGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQS9GRVEsMC4zMzMzMzMzZW1GJ0ZGLUZJNiVRInlGJ0ZMRk9GYG8tRmRvNiRRIjZGJ0YvRmdvLUZJNiVRInpGJ0ZMRk9GYG8tRmRvNiRRIjVGJ0YvRi9GLy8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0YvRi8tRiw2LlEiOkYnRi9GMkY1RjdGOUY7Rj1GP0ZURlZGRkYrLUZJNiVRJHBzMkYnRkxGT0YrRlFGK0ZXLUZlbjYkLUYjNiUtRmVuNiYtRiM2LkZdb0Zgb0Zjb0Znb0ZdcEZgb0ZgcEZnb0ZjcEZgby1GZG82JFEjMTFGJ0YvRi9GL0ZpcEZccUYrRi9GL0ZfcUYrLyUrZXhlY3V0YWJsZUdGNEYvLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LlEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUpZXF1YWxpdHlHRjQtSSNtaUdGJDYlUSVQbG90RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNi8tRlI2Ji1GIzYrLUZJNiVRI3BzRidGTEZPLUYsNi5RIixGJ0YvRjIvRjZGTkY3RjlGO0Y9Rj9GQS9GRVEsMC4zMzMzMzMzZW1GJ0ZGLUZJNiVRI29wRidGTEZPLUZSNiQtRiM2JC1GSTYlUSZsc19wc0YnRkxGT0YvRi9GZ24tRkk2JVEkcHMxRidGTEZPRmduLUZJNiVRJHBzMkYnRkxGT0YvRi8vJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZ24tRkk2JVEmY29sb3JGJ0ZMRk8tRiw2LlEpJmVxdWFscztGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGanBGRi1GUjYmLUYjNi0tRkk2I1EhRictSSNtc0dGJDYjUSRyZWRGJ0Znbi1GSTYlUSRzZXFGJ0ZMRk8tRlI2JC1GIzYuRmBxLUZkcTYjUSVibHVlRidGZ24tRkk2JVEiaUYnRkxGT0YrLUYsNi5RIj1GJ0YvRjJGNUY3RjlGO0Y9Rj9GaXBGW3FGRi1JI21uR0YkNiRRIjFGJ0YvLUYsNi5RIy4uRidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjIyMjIyMjJlbUYnRkRGRkYrLUZJNiVRKW51bWVsZW1zRidGTEZPRmBvRi9GL0Znbi1GZHE2I1EmZ3JlZW5GJ0ZnbkZjc0ZgcUYvRi9GXXBGYHBGZ24tRkk2JVEtdHJhbnNwYXJlbmN5RidGTEZPRmRyLUZSNiYtRiM2Ky1GaHI2JFEkMC43RidGL0ZnbkZncS1GUjYkLUYjNi0tRmhyNiRRJDAuM0YnRi9GZ25GYXJGK0ZkckZnckZbc0YrRmBzRmBvRi9GL0ZnbkZkdEZnbkZkdEYvRi9GXXBGYHBGZ24tRiM2KC1GSTYlUS52ZXJ0ZXhvcHRpb25zRidGTEZPRitGZHJGKy1GUjYmLUYjNigtRkk2JVErc3ltYm9sc2l6ZUYnRkxGT0YrRmRyRistRmhyNiRRIzEwRidGL0YvRi9GXXBGYHBGL0ZgcUYvRi8tRiw2LlEiO0YnRi9GMkZqbkY3RjlGO0Y9Rj9GQUZbcUZGLyUrZXhlY3V0YWJsZUdGNEYv<Text-field style="Heading 1" layout="Heading 1"><Font foreground="[153,51,0]">Number of Integer Points</Font></Text-field><Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Number of integer point of a non-parametric polyhedron </Font></Text-field>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<Text-field style="Heading 2" foreground="[153,51,0]" layout="Heading 2"><Font foreground="[153,51,0]">Number of integer point of a parametric 2D polyhedron</Font></Text-field>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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Number of integer point of a parametric 3D polyhedron</Font></Text-field>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<Text-field style="Heading 1" layout="Heading 1"><Font foreground="[153,51,0]">Quantifier Elimination</Font></Text-field><Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination I (Warm-Up Example)</Font></Text-field>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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination II (Warm-Up Example)</Font></Text-field>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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination III (Equation 6.7 from Lecture notes of Thomas Sturm Page 56)</Font></Text-field>MFNWtKUb<ob<R=MDLCdNVZmk:@P>T:dW^Iy[C:CrV?TLcD<KB<KBYKBSK>mBWEDPcuNYeScuW=eVEmmtpqpplplsHPsPpltps\\pqLqqIjYu=`LtP>AdVEURcUTYeU;COMUUEmcPQq<LSXMJdntlPJDMRDmT<lRDMWDMSdMT<MJ<o`dyeqp\\CB`N\\@Nd\\QHmxXqLTEXfUwqqyYYQhAMCXNIHYCYnBUOLMvW\\nODW?tR;ITJQKTErK=XN\\p<pXr<QDLU;EObeJg@nO\\l<pq@`p\\dnBEOLMkNPNUElgpvODKYyMU<ufiUupmHyWFlROqv]eVg`VgHQQaUeesstyQDLK\\UV]UV;JxHOxyxQqo:XkEXkE:r_QYVUVHir?ir?:Xsq<ke]ss@qr@qr:Fy@FhGHAv<:i>Zk;Rx:X;ZQ<jr:FYmyIiHYmHOIDNSrtOw<[eNkbFYhQey`Ye<Qt[_cn;eeyHr;c[EE<YSqCulCfcOCNeT=[vfKdLIgEKeJqRD[xakEUsF@GFy_T_gGMKi`GRqcGj_EIkUJCFjmsAMi@SdQCxpKiBgBg=t;Os?EdNGyEqY\\MWRCgP[fj_BhiVesXkkd[=r^EIjauU?icwRk_SM[Gq=YAaG=ebdGe:sG<MDs]uigBP[CWaBi[UraUyyb[ME`;IxignAtU=hZ=g];wV]Dl?X;ytGeC]cr<_DwEwkEW:eEb?Hpwu\\aR>gV[AfiQUtObKoVhaiAYSK=Si=gEmgAif_OfMUmxXxctJcDm?]TRqYIArbHt<PpWaOx\\kfMUxxwwuPo=oTpKM\\Q^DS>iQ?Um_=wj@Y[isBywQarldSR]MqiWnhyDdUe=o=<o@YLYMUmQSmmpe@pZMm:tpdAwTuKopm@Xs`uuf\\rrmLkExXiKl@VbMOnTJZaJKLljusXUV<uPR=KiUV\\<yDAmj\\SHtsPusneJEHSYPm_AMsAJ<Qy?Alyll]PXs`S_QR;PXc@M?`yXhxaIntayTXSvUYftVNyO>@smpqYDJdtSYmwlUkCUmDDkZDYwlUDlnDatXlScEXpyJgMkjTuIYwRYsEEo[Qx_MwTTKJxl[=seyKK]NK@nR=O:mQixjvHjJdNLEKDLY=]TWhuwQtqHPgTd:?fL^twOvp_sAhdDabvqxmwxQ>glQao^aGQf<gw<Oj<GnJfZ=na\\?rJ?^q^aYy`xP[mO]PW`NXgIGgaq\\in^Nwc>>sYFsKgqWqnto_<oy:OjTXlayxEIyrpcS@lQ@mZgmxyjEWnM`stHaDg\\tyuXWyQXddw\\L^\\nQ`>>`NVau>`Q^`cw\\bf\\lI\\mQe]QhsVnho_rh^yigsO]ew]XIw_agBgslOjva[B^kYPf_q`GxuFYZSy]QXhTvpEa\\mYic^dbWdyxuapiuvb[@dSphA`vLpf]qaoXskRZ=sYOgMuXvsfuIWMGIGSskKxAKVNmWpGgWesJ=tY[fFUYpawe]GaeYdof<[v[MVNqiyOyuqFRmSU_dCeTc]ypaD?QeeiXgacdGrGayNyDF?T\\cd[_S`sRs_U;OXKsuhayAyd[wDRoyVqs\\MRoaU@OwUUBgMUHKT^Sd]?dQGFIwG>Eg<eeTiuhgIhSecKxuYTNawqIgYigL]sQ[fdieaAfEIWUOH;uI?SHoMWqWeN=c?;sYSiAuiS=t^ge]?cIYRxQrQue?eY_kvNyGa?GQqewSgNWgFGIUgBoSFFqVZ;HKWF<?XCUtt]bvwYASVH?cbEu_?EmQr@aulMSGaT:_Q\\]yCLWHuONpQ]asXHxw]v_iqq@PU=trPWytY@ymZpv^uY>yObMtnmNotOf]yXerl]S_Ac?VdgOmWOxwilkyxOhksHeqVb;vkIP\\eGfj@np_k[>^BgxSImYnqtV`dw^<_ldqwEajcft=o]\\OZ_Oungj_fcDFZ\\_aKNgHqguPulOuapfo@bc@nQqwayi]WfH@kbouIAdfVxGN]n_p^pg<Yh;H`aAxdYvLIweXulflCNdsar<_r^vv]vcfXiAWjaIqVP]Q`bmPgJ@]iOjPw]GQwKN[`okgN\\G?oZyqq`_YOtr@\\ZnrMNuKHZEHf@`ijId\\Acww_\\G`[pgm`cs`jgxcky`pnvB@kbot``df@x`h[tXw@axRPhx>\\vH\\dp]Fia`^dH>`uV[iFkxY]d?yvxcS@dfAfxwtIGiCYvGFdhxqy@kk@nhO^BG_ah[mPi>Pb?HswgfEaqGG`i>sQH]hgluVnt?k[n^rxqrXhsVp[WmdijFfjvoxm@yuQ]m_b>W[Tv\\\\_ltoj;wh=H`A_tG_gUVha`Z[QjTI\\Iyu=Am]p__neLAmUxxcVpL>bxhk\\gqbynoA^;^[s_ixO[>NZuv_yxthVtQH]YIplXcTptWhmDweDPyaOwtvw`>sEvawWp]?iKanJydpnvPfyNFy:Nx`NyeGbuF_ip^PxgcquhFgVX[J?^qnaJ_`mqf>@]j^\\ewwcft?Wl\\^[BY\\ewaiwjk_mmx\\nne>AmUOtn?u`pxjIyufZivsLp^?@^?Vsqodpyo:AaaYqVAmUOaaH\\XX`hvl]O_aqobyheHs`qsDxykGew@g@@sUH]XQemXamOiVO\\SqrVx_RNn:_nha_jgscXmBn]k^n``dH^ZiYiDQfTgN;dqcHVYgUacdGBJ[icwVhKRpIG_IYsSVhEHcYTugIxqFPsSPSrFcB\\cXtUGeQgA[U]WWQgUD=HAicnGUo;im?w\\IcowuJYxS?Ts;wYUE`UEP[tFceRiwYkVb;ebQulMWXqfR=HAUvuox_iFoYDXYfESrEqY<_IZ=GrasOSvSeHrQb@auFobgqHoyGWayrQgFAgXKCJmVrUufuvhIBJ]G_WbXoJr\\RMIvuLyv`yGEpN]T\\HXvxyrAK:YkNUn;@y?qQPlLNer<MoeXrNiPbPothxTDn\\Tp:\\YBxn_YyOyTiENUxyMtKjANKUo[LY`pov]q@PS><phXX=aXSEVH<lIuy@xsjYNS]ktTVGQjcXMr]JZIK_ElPpqheLQ=m]`QLhM;dnL`qaTLn\\pduMjAKSDxjqu[HXh\\kb`Jv\\yKUREuY@irSmx?dvJHkKExa\\yNMMW=wIAxD<UTlJo`O\\HxT\\pWxKR=S?QNrQULdR_isNqxGLVZxlHMn^pUsukvEL>QJFqviysyXNWto;UQblv_Ty]iXVpMQXMr@YGdKchj^eR?hJXDx@eJVeNwaqkDY;LS]pjI@VJlkiytG=RrLwAlqn=TcImalYwEKiTyN\\xHmMydne=TX]xdttZMRgiTJ`KaDtTYxaTv<iR^eo\\LlOdwrySyhNFUJ@@m@EPtxnI]kPLp_xqjAqtYmCDnLUS\\iWr`oT=TEHWN=uvLOuix@HKExS\\tqyDxm`LNPk@Lpo@Qr<mR\\Le=vDeNByxfqt@uJopuQ<NJtRR=uwAkOXvBTPI@yept:PyFXSjxOs\\KgdJo`xI=OpaxQ\\qBiXRMyBdov]L[Qvx`VJ<lhDsR\\Nm@q?]oWeL:dvL\\tHeK=@YLDXK<v\\iKn\\SuXJTPWAdM_uq@`M^`VV\\ubhjKQUr@KBtV]@LgyU;UMn=tdikZHMP<rl=L^@P\\Hx^LnUmsWPybHj;qpFLL\\@s@EQbhm@LMwdJ@<YBIsvLxkELfnnTQb_p`:pfk?\\=Ig^YplX`Zh_bhqP^lgFbAIck_rsg\\GPeEV^W>v?A_LHynNrQACQtk;Wo;tUCWjXjRlS\\TmHpU^AXeptLAOw]X>ySZtYb<nHQV<QlD@OWTpxas;LM=xJ:yl@MxHppVPTc@vIyR:lu^LpImtOxRvtm@HY^qQRMqDHldHrj@UBLnFDUtlMFTrNiLb=l[TKp=xFdRKIVCLP<yRyxW;ATO<OtHKH=lZDkV<JhusSpu<pob=jfDRrDXwdRo^q>@proqool[HbOg`bAv[FcL^r]nswpl[Pb=`ZCxpZhkt?dgF[KAorGl=OqXIoZXx?>ji^k^QubWfKngb?mQf_jOrwVZB`aAf[G`iEnfnxj=p_[_kj>yB>raFbv>w`PZ^FtE^yoy\\tWZ=FyfYuJWqqXf;W]G>fBFd>xe:YuXQtA?gOQ_b``x>rJN^Bydlyjw?mEP^Unc]nmgH^ep\\kabQnitQmepahOeZaZsAgZy[RoZNgt:@^E?vZObQ_\\bpZEF`VnjrOo]Xe@^`?GjdOhJPrq_\\JC:abhOu;oXrCT<_FguBy?H[_D]ASyqySsc;Uig]IEIbQCyawr^sF[_tEUbOwY<ywY]wqoExQySCtf?CogDwUb;mFHacEiER=sOoCLIt^KxlABG?XRchTAB[aXGKxZscmGXP[COSBO;d\\OtOWd`eCwGra=B;;SAmGZKS\\;EvMrbWH<gdFwiKCIqUI`OqKhN\\LYf]yvTqjeK=pT?dlTuJyMm\\LL?QsKHyE@jrMU@mQUhRedQ<MyDhJ]eUO=ndmJfllA@OEAlH@wsXwnax`yPQPwTiMr@PddOXTqeAm`LYSQNx\\Qfpy`=LbdPJhLh@OqiNkLQBytn<sGXV@in:`WapXjqoPUO<ESp@T[IJe]T>EsdLnq]XZtuhxXfdnAHt]<rBPvKdU\\LRN<jylQoAPJQOJpme`SxpPPpK_=n;XKAuSeinUYKAHnn=Te`TJAy=uJQLS]`Tu\\q[]WrdkrTy=Lx?aQ\\hkMYKfuRshVutw^IPEiRYPTxtO_pjAmYn@mJeP\\Iutlj\\YnNuX@UK\\LUHyNNeKk\\rrQVNewuDJwllMLo@`q>tS>PwMhJgtlmipYlLZinBeYM<R[EQYlwNhs>MsNuksAseYxgEQ`XYb\\TYPtnHM]tmQyRXus`UoWYqohtx@mpEO]yuvmvEhVblvI<T^lL[tydyPX@NOxXpQpIaMm`moDO`YVBlmJdlaTKT]SeaLmQjRtY@pmViSW]XcDpOuSYMnDesdEmDdvldtUYVThQ]uvrmUIDLmuxghwCdLVXYAarTypWdvTuJ<AOJUpYynheq:EPyTRXhmZ=MELMqTXNTKrEk;<OLamLuqJLNYxrEmM@qXtmK^qxHpvftNNek>DOPewMaXpdnkUP=EJIxjLdYaYvSAldij>dJw]K;DLdmwyTmSuXgAJViwqIoWmSK]NL\\pIxwgyMwAUHAoU=SJ]OM=ndepFEmBxkR<Yc<UREyT@u;iJLENyDY:AT^hQ_pX\\evNhw_XsH=Vg]YQeQUuRftu\\Ts[mjv@VbLpy]kLpTAeP:=KPuktIOHUs;TYFpMOLOQLPc<lyirHHUHIoX\\J[\\tvMxBmuthoX`JoywpArP`PYtPctLmYQxapkLOnxNaUwl@W@=ksmXJYnsdxmERliJm\\tXtScMPhUTd<rJxNNeUuATftVwMOaPR^YV:=x_AWrDWLMriiNiXXvXMXYVxAlELmNUV^yxAAoJawMApYanV]O\\aJOQYxIPEirrpSc@U<PX_QOOUKCLKrmXw=lQXl`dLLlS:ULY=klDqVdvDdwaxkpeSEaLB<uQYUHXKN<uCLQ_UwXhXWLmKLxwHj]mlaqr_QkSePBEjOPRUxXcDLB=tdapQapTLnZQyrmvkXVPXTuAQ^<R;XW]LPrtRfHjBdMgpujTVIiJXhX>iYrQnAaOadJyhMFUwcxOHyTgexKmwHpMITsSAldIMa]ysMJN@OqEwfIWmHmw]ooQtsDrlMTa@mYySkPWYpNMIKoYsKLxllygtuEYMnaPKiXtpx<mThAKeIPcyqqIX>yvkDOrIKrPvRPxfpSK@TSqqQTsCdL<HLdmmJmWIItulxkqXJxOq]whxscpMlxm]]wSTJBqX?LY[XVPXspdrR\\W^=uSlTgeV\\dsulsMlvnDWQHOK<xTIrrMRsLWXhktep^pY<YRjarHXswXPvtuRXRJPs=INoYu_MS>\\QH]V>YLy\\UnEO[iullSPMkZmu_`RZuTkXux]PZ<P;LOixmkAllToYYP[hmHYQixjpdXlaJbtvrTWgLqkhk;urrEONXX<>mqF_nORqrSswP=XJgcYYr\\wel]cCUYlMhKkBa_csgcmgGmoxuIUhwwYIfi;rhSshMVAAEG[Fl]dEebpKRCYE[OwGmuaWgbuSqmxcOX@ksdIuXusNOg[sCkSyMSyOuikabposguGc=ekwBYwrYSf<Qsk;YhaYQGuwSvwSgACcSYT>Stl=dLks^AXs?eMaWTuUI=Fp]csgvJOHxmbvYYxeFmqV^AS>gg?cxMmYDkwBscccd=kcmgXqER>UCTws`[TICIxSc[_COurmKepUXNCC_?w\\sERiv@AtyWcYMw\\wS??SBOR[WsYEc`iVM[HU=StAwRoIR]HWGXuMrRKUCKY`KxFsiswH\\]sKAi:mY@[r>kw[YVssfCUiZAsVuVF[XY?cfUi\\MTjgyfse[=Tf_vd=XewwgSukKVpic=GYWqxoEVv]DFaHCqcA=h^GWSqxWEuQGbmOYB_IXgiCGsl]SssIXwWFiSe_DnyFbWiOei?WF]uX<wwFeexQXCYHWuy`UVFIDKcsTIhGog:;CFwelmsdiuOmrVAiFEdekr^=GNSfdib\\wxVAiVEh]]sKgwUeDVUyPescgEUeBY=I`]sGIgWShaaBAaywmslgES=yRyveGHgISKuytOLkqRFHq?umLokxWipXtTQl`Wr`fvPGtYfa;NcNWyQn_vQax^jxQr?nqmWddVyWvq?ixuos\\ooiWiVieaxniXtox\\lplYVeUF[q>y_fceIke`x]?_L?qJynMIx;fqrx_IIoSV[LosS@jHWo[N[WXefFqSwwfovdxrGHn_X\\bg[N^i@XpfYeknv`pkyfniVtyoiN>x?althvNQaDVpiNxNH\\qHrpI^v@dQigkwZYHa=VjPW[GpbEVjIx[ayqDirKWg>AvooyvayeO]?Ij<PelPZhpt;OeRaiOQ`GWyfWx]ybnqtaq]s^oMWdwNgJ_xgPpqxx]fnfNkHXpPv^DYeUYrlNpO@owhkGYkUGyw_hbWa_ggDVx@Wpew]on_V`bRYpd`iEfpKIiYP[e?d=grsN^CY[eXnm__rouh>xEwo;Xh??gDPkGIo:@`DhoTNggH\\@fv:hyXylI>ysne>ithy_TwZgxQkyniYwMgFUD@WX\\[dwGvZ[hSIG\\_xagbbmIwWi_ws?ITckB;aIvIc\\miaavnYV[;IaQx>aWGcdbWXvcbIWFWcx:scdkRUuRieCOur]ogfaxSCHWwRRIg`SskAD>EybmsacgNgrueU@mirWigisAUvr;iwMU?CyHsb^MXuUCW]RvKwA;x?ciPACP;IjQb>Cus?EQcs]sGE;D]iHFkRg[F?gy<ucZocZ_I:;bYKx_GIkqe:QhfWgXudsCcS;TOws:;y]srbCBMaXDCISyUfyxYcGmiwrafWQcVEb`mGZMgOWrxUXckfDoU_CCSwDjiyIuy;ArDSfVie<utt=g>yGukeEkU:?BZYc\\ow_IDuoBP[G]ibjgX@Ee_IIj=Y>oghedDYCJ[I:;UScf@MELsVyqTFmF[CBrQfdSet;ew[vEwY<gSPoXIGYk\\N=qUvtKMdq\\EKt`mXIQL=s?UlBTP:YvAilixxw=LLhMnQX;\\ow<wXtQ[yt^Mx`tQmXWAiv_Uv^ayr`Q?tLhHnKlwZdUN=V;xRlhT<LSc]XHppExRlxVZEpJItEmUcTnfTrPXxfIKIqPPXpYypFyWYyvTXk\\hniDpjlRBquv]TGAjLIO\\lOkAyhyMyQriPOA@YoxkSHn\\Xly`s_XJJ<rmAJneLAlMktJR=JEAj[yp_mKiuvIhPNiOyDteaxniTtpx<]tTmLGxSUxqwHkTLWuqySyLkevr\\qn]OTMkwuKrmy\\XnBqVitk@tU;ES`EJwHjvuODPUxaSAIY@puk`mx=XvmQqHxwiPyHy;=KBHY?lv\\EKwHXuIlrUTU<nPhK==vYIvAyUt<P^`OTYL=LyZpjnijmaPX=v;AvKLwbQQI]raYyFIPLLpGpLL`ogaSWlkpmsxemIxPJUkG@xMyMI^i<yoyak\\>eO?`TY]VObtHj`Ht:PjjNxHpfq`hgw`six_fyaafjYZpwfxAil@ogy]mPZ^FZriy]>Zv>bWFg:_xnAxJwZ]hkknnI>tdAgZGf;weCOqAf\\]f]BpmRvj`Hp_aqAqgvWq>AgNnyYoa\\Y\\:^ihGnkNo:okXogvFogp\\xNZB^n]yspImSIj_wt=@rnvooAvn@`da[jAZXNrKXZEQbvF[kyvy@xk?t;AsDX^xons`]AIZj^g=Xrs?j\\?e@xvwy]ryp^Vbgh`JGcE?vra^lHtwq`fyl`PnKIy>>xK_]Fhr]NZHWwG>xcIt:W_WfrZWy]WkA?_>YZVhZ=>pGhdPhZ:AjQ^jMiksFjpN][Y`:>i_Ylwyvd>qbNg]hyUHhI^[bq^:>hAgwongoPamOdS>uiY`fytI_gex[dwjMniEAr:AZ:p]df`mAdSVkk_vqXpfvo`FnQWf\\_dFX^SWyMveXFZI?^;Ph]`ppYZxP[HXZEEFcCt;XNyHnIs\\KvW;EUucFQHN[XtKgwCBqscwSswOUlUUMGXaiGm=t:Av;GRrAe=_smei^igKKI]wBR]YCCxbqpMTKP`M<=KfXTiYYs]Ok@leeQn\\PStytAvr<twEy:`Wv@KxdY?EPlEL]dnruntdWmmYVmm@hjN]W[TMGMNu<MZhLGPnKUMZ\\mh@Rj@j=uw@mXm@Juet_]WYdrIyN?QjMyWRiYYxvQyrLUQb]kFhyqEnclJjAo[XTcHRYyo]tN[DmHtWCYKpqvp=Mw`O\\IuqAyeYK:tWJDodeJ_`Wrqj^<ufhmr@yKAj[=JaiJh`j\\PW[UtmdSbUjPLYt<jAUQ[ixMmlCInXpqHutX]jPURp`xkU\\Cx^<PcgniMp_KVpw>_SYudHhPVrjx\\;IuE^ylgsKNkO>nr>[=Xj;pcxhZkP`tOuBWqCwwforhhhNwai_kOow?WnR`e<HjKWn=XjRhdPPZgItPi_OnxJy]O?khq^Qwfio\\`N_dGtrNkYna]I\\F^yKPZTil\\NlLixwfkoomOHnU>q@W^Wi`:N[QnoZ`\\Y>fjoxU_aLhk@Na]xmjyr=>Zv>rJa[R?uU`ljO\\Lil@Nt`pjXW^E`ie_ZMx\\PY_?veAhe;XiXAfk@fbY];vgRNaFWrxI`Uf_\\P]?b=Iuaesl?rDaEVqHDeRCKF=[Yt]B:wBbMe;[WI=EIQfZgtsaBZ;bnMxBafcIIjMB>sG:wG:GgeAHkabx;u;ub`WI\\sxR_uJ[RBoEZYv=oCweWGcUKeh^UBWGd@?yuyijqyYuu]WtBAfPAg[cGwCHN]SOKwa=B;Ws<GcbQghuw\\oCt=Sx?evUH[?IEIeXCIHwfT?xoEXNSIHWC_kcaIv;;xZEUAUyEQWaqc]yip=HQSCdUfBweyAYvCxsyErysIyYV[iEaF>iU]mw`@TAmp[tJI=KSQS?DybInlMqFtRP`u[ePOATT=oo`L:Mk]DMO@rwxyBXKq`WI<t@MOXDp_=vYYL=ujpAJjIu@lJOxtDDxd<NWIw:el]@yOqLPAYvAyY\\NEmMjHsQMo<ISHykEYxB<SqMkRdjMAwBeQ^dvDLMKAP^yUHHMmuP<YKZIMZYNfXvplxdut=xqZMJvQrRPS=tQyayaIkIuQ\\yxYmY@ywuyWuQXJxXFHqUIPNHlg=s;YkREp@PSXmqk`uOQJqhXveQ`AMPpj;Un;pmHYNV`K]LO:TooXkeHqLutxdk;pTx`jypP[YOK\\OOqk>tXkDnH`XBDVcYwninOuUxMpKqLNPTKlRpxjrtViAtOAqLlJAMrQMM]HJFEQtmQrDt?<x<tKZYPfXnWLr<hVxLJZmtahsxpMTLQ_xmkqyNuuuYxQ]yl]VBpRr`xHHPqUPPpj;AwmlM;<P;`PddpLiw_QQmeyEusR]orXXnTSPLXR]uklvfdp;PmK`uGPrByrKxStExAXXayQyxS]@mNAtBtWqlu>PTEUNS]y=tmSALdXN?DYCuRX=y:xnHUXx`NUypqayKMrWimy<xK]Vmyt?eulxka<QwXXuAmSiseXy:hPdEnmIM:=PG@qjUV[tNKHLGTYjqyqyJvLO=<OPMMQxWRlohyl;durlnwhM=My[qrOpUjAkp\\TbEtLLpsQMx\\yoqMyQlA<Mn]Lnms_QYjdmuqWttrxms\\aMy\\YNIneArwupwtpiTnZ=nvLJjANTpqQ]lvTLtPoY=dU>eX_aTFnmwwUoxmQylObnFcl^^vqjyf[gAwohw?b;_DxQuskDR]rumDbuygUSAeGviExmVeAeIKhrMxp]uF?bfuVBkhLER_gx;sysyvq=W?KTbkTD=sXeWNIIIQbumrhuf_GfMgc]?gaGteiHfiRcGtsYTSsS[uEOIYnmDCqwvcgl]CQYWQUIYgCQkRg=T=oFwYYWCSiIv[IvlYwUOINeydGTCkSNsGRidsMVVmI?sDAUfkKRrCU=_HDYRdkXJEwWIt<evfAC@wExKIu_R<qwAqd[Wr:;vKOrikF`uG?wsH?RASIpkDNQf>wweMFtoViawCMdaQFOSYbYxO[TdcEvIxm<Pb`jJpOO@TDuji`lAmlm\\SrTYApwC\\sKELkaXILRg=jPmU:<VZHXEUJPiJXUneum@Aw^ElyApoDUnyvKAQpmkOaw[`T;LMI=wRTsJawbPwQTr;=uC`luMJpUprpXp`Xopj\\pl@Uo@YJPQWApwRpyQItcdt:ixXxWFIkl`J@tm[]WYPLUUV:AP;<R>=yhHyJlW[\\k@HRAhyIawZLsyaJ]`P;PTNpUHmwmHXnpRGuNTevu]yrqo=tYf@kDeNE@yoHnkdmx=rlutGYxiqmamkIqXJUKipyLItDyTZHpuhkktR?]Lo`NDDloXJTluauXwuqnPSNDvYxy:yvA=NJ]WZtY=qX_iykdmHYK:\\K>EyvPMKlp\\epxLo]XomEXBLXRlqOyMPqwdEu@ATnaoIan=aTKYoO=TeIoa\\j[hjKUo=x_>VtkYvUXeIolko[PFtfOthXx=AZopskFZjO[XNnbIZHgmOnpFWi_FuivmYisvFj[HgjFr<?kQ?`Ja`nY[[>iYva]yxnG\\=XhL^l]IrkB=ebtaVm=UaeFeYFtSIsOHpOe[oCj;tiwgyqCdArpydmqrKgi:QUxkY>MVIShA_xqyu]YyekUKQs_cIT=bb;H:[SVctA[YNCxZlj@dwZXrS<tnxO:\\N>uWlIXreJPYQ`awEqvEIJ:QK[]VUTJbqrNdydMK\\Hu;ysyayH\\qN`Rg=nYmQctPG=mI@J>Dx@iLvUKDmQDxmxUJLhp\\iS]IxRToOiueeY?lOf\\MvTJv\\kTuNvalG\\ktMsEAy_MKS]XtEMryWsioL]jvetr`lK]MW]TcXx]Qx<<UspjP]qA`hgyaa^uofu@@kj?uA>b=PiR@oINq`XvK^[^YjV^higZpWxiYcQ?lMF\\GypjN`F^cthf>iZGvwyiyI>[<`kfWf>Xsgy[aoi=AxJnmL^[@W[kAwy?nBg^NqwoP_vglhhi<Vh:PfxykGXmE^iBa`DwbIGpbio@nbVYtxQgdg^tglx_yxYyEVx?Hx\\hwQ_iPAkOIdEy[Jfo_G^fxhbQgBx]KhqPPd=WbM^gyiraOr@XvBV`:Yj`h]tydUO]Nf[:xat?l=pwGApXniifmUYl?v_aHdcIgjnf=_tmO`fHri>ykiM]cQCtKuGYgSUms@iCIYCQetZqw@au`qfS=TeCSNcD;SIpscKYRpsg]sucGfLQWZkhlwNtiLcQtDEmd<WnlPCiMqtrh]oQuXpmukMVolp<<WjDV^tmR@VDHtbqR;xYhAnPYuP@T`\\lDmyvXRv`m?mtChXlpQAqWQQWmuMvHX^Xrf<JGdpb`kYtYxiJytybTNTUQ\\]SRXJnLYI<JMLRtAo:lqZ`ka<V=iNNQLX=JI<yJga[A]yHgAptDQnr>`;>pBVa@@vaqeaA`bXk`@bw_fJ^s`xmxv]x_nI@wGP[@VokarD>kPoZbgnv@r=pkmX[YamF@qFu]yeb]hpqFSwRtSfNcC=YCZYVcSc@qy^[rbIFYEtkUbE_uHkhy_eACr^]D`uf;OMGdpPuKALx<QtJIs@ElxtyJ\\Wr@OdeyxLyQ]qTuLsUwm=l=QN:dMTIT?dOZDmHDjs]TJYuy=w`Pj;PKrMVsimZASYqOpmm=eTymnJTUGmunUYlqL_uRbLQ@eU_xnwdWJ@wT\\K:lYsuwRxlcHRKmkiAlhQn\\XPrakoxkGXj_aMOhqODtSTQYMYGXjC=ttER\\qtUuv^<nAylYIlIykpQwcERghvKYVQuRwIqEqTDyxsTnV@qjUJwPYBlmMxurDjV]rZQokEu=Ew\\XpHxSGXsaTm><JJTxW\\voaQlhqMdjRPQNdrhyWQQNaUpB<v;Tn;qqkuWZ]PJAJiMLsYVmHui=LEuT[@o@YPQTLr<Skev^`XP<J:<L:`N\\@NdPNtLk;Hyrhkv`W[XxiyYZyq?DMcqrBtSDhMEApW=M^AwMHkahs;uJDYv@yqAIYqQx]Im:IvRmqLutXXOREO_ExUqtKXQiMn;PSrAS]`p@Lt_xqVhRRYxBHuPiTtIpYyovDlyHt;hlJdlR<rJySxTN]hl?uRh@NiLJJQWbLoc]tHhN=\\P@<saUUJijgaqjusJYQV]MSAqA<TA<uqUKo`l;\\lAmJ;aWpqx:pUrhU^xuYTLTPnVDUNmqHlTBTNUUM:uPa@wQUlZitTlYtqmy@ubXPneMI@x\\\\qY\\K;QPZHWa]V>ixktPQEVgyPcHKpYnLpOaURdxnvqXdEJYmkPIlLxlMLOAdquDnNyVHmqm<Qc=KDTl_dWaYO=\\wv<RoqXMPKktqMxm>qKMeMcxKcMv>auWhT=TmtdJpPRUycgA\\@AZ;Fng@lmYvGOm=hqj>ne`iM>hlOsOnjmNehvvNysrytYy[Nx^U@tsXkga`AVusPfP^tIgg_HaZ_yN@_qFoWaoLo_P>n:iZ[>dqFaE`aNVe?atXhdc>kO?ouwvXoo<IhiXhgi]`IiU_pgahI^cbabBpxENsr@k_alTH`aq]tQ^Noe?dqwilSwMeHK[fBQIqQEKCt<OySsIk;VpQRgqscgEmQda[TWIsMWHgSyW_E@UhgQdgaIW;rH=cnIV@yXJkep]emiw@_FYufx?uGsdv_E`]en=DXMcOeevqYEIGoWH;SIVMHM;fFUiIUdsCDKaddGR`ee\\SFK=gMUiWahm=usYFNuud=rdcB@iTcgBPWVDAypwrYqtEYvqwgQagMEFOSfZ=H<ebxawCQFY]Eawi@kS@wGpWTr=H[OyHMSDGWo;SFqStKC\\Kf_cSdICDcrDaHx?Hx=xlwetSeEqcB?WskGM]GN?ftitcoIh?smshHeH\\YX<IiYycsAiGebRguYcI;_BOws^GGRwH=uRLQdf]VhwFLaIsuefmTcoH:mi>Ue`ShScStgTDag<IfAOgnceG=WtsF\\gVQqSQMr^kX=qWuCIgoXnYBGAgXKhAqGM;sKuXt?f_cGcmIfOT>yv^WXCgTcWIx[daSiG[XLIFrQHngE_wYMOU@GhMIbnSup_GH?yqeVkQrKWbHMc>gvfWSWyFLOTgKiCKxfybSuIvqDoYTp_UvmST=cuGx^AiVMTycv_swMEYfsDwMs>SRNKCXkvSWUoYDI=gtERrWy=YwISHxKVvCHTqsf=hVsvByY^cu;it]=YoaeIevlWF\\KeqIGQCcJMw\\_YkSiVueamc[?R[]YUoswCrlmH^oVHIsKWwGKTdaUTObcEe<;Vb[XxWDUivhWXQgbb_IVGtfMI^oV[cR;uggsulcyScSakxrci@uSYunX@oUanZUsPhpX]ugyQ>]REIyNpjGamMuuudnqIY@lXdloMDY@tLWMS>TPHMm=HMOYN[honeUeQLbMth<T^<L[PXmtR[`RqUlAHysPYamTa@lAHn:EVemsEUXdmRv\\r>LsnXQVqVNqS?=OlPS;lX;lXHhqmEwfpoQIyUxmXumamKXYrxQxvlLnDwPHOK\\xLTJ@`yKPJoxNaPM\\an=@x`mxLQUFamNmTaxraiT@aunHm[@UJYqklqppNKHnB]j\\DnJdJvYqYxolYoglj?tNaQJBYMFEu<tXPinV=sqXUPxO@ewSDtvXm\\typHV[ySJeYltnkmsyhxXMkTYp_dSUHkGMRiuNaTUj@P^hrfXSS@naunvuWb`S]irNPmC@rPmKq<L]YkJetK=uUqrVxPKmnd]rqht`hoVeX>]REpQ_qxhHrrYLU`U[UsSqRJdoGPQidjDtlqmx?AqDEKyxjRtUFPsGqNOXVxLVvHNDiXqxMdhWjaodAmr<wGXXdMQWHNlMOu`vMhVVUrLpnWQrtDVb\\QXMxATRNDk>@OR<xM=NLHntItKHQaHVoDR;tkQPJk`KOXs?LS?MjNLsnxpFDq?dSthJD@ypdY`@tVTtVpvn\\oaptCTYS@R<PoHHPmlssIseYKJ]OQunpupIewdMk<EnFQysdsAiWdpV<XwaavEhlcHQVhoeePeqVPQjyetYMw=QO?@MIDy]DOdtWaDXY]Kc`qMyVRLx@PPNqUo<VcuvZDKfPyfxP<EqtUmX`S=MPeQThLLZ@RjLRk`RDPPc`J?QN;Mxs=mWpyaIx?DOOmwLISsExdaObXmjqmX]RZLNTxKc@LkYTZlT`pXyXSgQXFPJ;`JOyKTDpjMXQemIyk_ulslnpUpFEKyQwxAyblTbXTuxYR`Tumv^AmspQYmsoDS=yPsMOShO_UYImlmis^iwrHTp@np]k[ts;MVNIOOUJeXynalKMRn@M`qPwylkIT^@taHuvUlA]tM\\OMAUULTwdpLhYXLK`MoNymhDWsdwLENlHlmDn<UYMyTQTVdprvYU]ur=EjFulTIMYDPXAN?QXoMwIuSeLrcuqHejBxWWmXjTTapwt@x_dSUYU]qWo@JLeMhiuEhJoYPeHxeINyMouMqYqOtaTHhJgarFqSsElNeynmQahvNPo;usUAP`qsFXs_Ap:EnopOa=seyKXhPb]w?urwUVhmRoit<qtXmOQYsSHTqtL^tYZdROqWYPqGaM?`y;MsnxnATvaQvk\\qVHtjhqWySRLxaLsNaWItKMPWuDyfqWCYXsEqktt`@uTuLfqO:]uGhvFPyoaK?`YFhmutxBUV`etZDPXaJWmPYymLUXwtTZ=sM<SKeYl@ncEQZavAlxKMnwIxdeQG]X_pow\\W?QQygsRvxK?^R^nZ?^:GZyxkvXitQ\\ZotsqfyP]EI`_aiFFyI`[LHgs>bFxtiap;YcFVvoxyY^[L?`bwpcgpCIvkIuywZqp\\=yw[xhPVvdfrvqiD`\\T`tgypcPmB>lyNd`Hv[@vZ`lQv\\_asU_ctatfpgIYj<_lexpcXijF\\tPbaywmgjkv`c^gnqcbHylVlaHy^gpbQgi?[W>pfYdDYsJ?vZvgZimGHqQqfsvmLAir^nCaguqrh>gtnwMAhlVixOfyX\\fA]mGm[F\\gFGurn[EHGw^aI\\IGPSTTsCuatymRSScSab@Yr[ccasfPmfQ[HUscQYiOwHXevHcVfQhVwScMHXKTywI^Gx^MSmYcTyiZGynMRMGsFovqeUd_eMaWlCfcawPwbj_heaHWexwgBgksNShVwScLP_Hu\\ivOdrlEPaHufmSi@XcXuRxpclvw@V<upRHuw]YttQg`X`eTDLypyThpmEAmlmyUmNVpxDdnalXSaViEqRXtvXm\\@R`iR``WUuLTHtjXQx\\oMaoDERiqyhuvtyRntmIHoVLkWpuc@usQyVpnMiQs\\qRHtnmprmp[PqV]sbMPS@tNIMvYs?YxEauj@nSaX<UlmeYFpln@mXQOalmt`yrAs>hveDXcAqv`nbHxkHSpQlPTxCdT=UYC@vihVstncAYBUrCaxFpQrhXFtmw@PoYTxXkpUopImPXj^IxX=mBLYs@nsaoCEpZEy@hMFYWR=tnxuaXrGYsCdLvyt`tXYMt\\mPWukKituUxcIqa]XsEuQAwTyyC\\O@HOlIym]x>I^qFhifqm@mG_ws?xSFqr@g@?SKiqieYwudWxQgUD=YwsDiKthkvmME`QbikWVyGaYVdqWgmDf?eqWV^iCNkcFwSl]xgIWWgx`gcswg?Ifksv\\QvlaUPSrFlrpyX>po^mQ^PX\\dX=IXBYPftVNiO^lkhpxYymsdXMEkatXxpUdQuGAU:PLI]wj`NhaYNYs_iWmulkEY@hv^`Sk`ujiVuatE`k[iNGUmSLSVEX^]ws\\sdIKDeuqaYQirFUo[XkVqQVmULhNGMs[LkV\\wDau=xtKYQEHXWPTCPPGtwSIlXMRaym\\EP^`UfuybAweDpbYTd<L[PyGxkYiP`qkjlsf]kstSdQnoePQtLQXKRxXm\\LUIxM`qHhvvMY`AkGio?psfuyhxLamRWaUDPsqetnull@n[EN@Ek`IwCqw\\=U_`ThXy>xqVXsyaRXXQhtSk`MQIOOHWXlMY]qqtOlljQ\\PuHyblso]SUHMDatatU_EL_muGAT^TX`AOkXseLpZHVhlRSpwwtm@YwcimsqyCekufbnoykn\\=O_aP[nXvw`xT_?cT]EHdoI=QcvyU>]RjEu<uR]KG\\yuY[eRMexaC@OS=PW^]XQtlieK]]T=eROHTCyqOAp\\yO?hJEQYsaL@trhXonLSJen\\LplIM;mVS=yDdlmEY]\\qBAqnUyNiRRmloaRXQuQHrRdtJUt=AO`xqLMrful]<mJMM_\\k>PNDHtu]N]qyTMYaYU=QjoQvc\\KHHn[hTV<jIyvkamAiwTTXu<MR\\LI`nE<Vs]rEhP^tqpmXLuLQtLQ:b=WWFIir?ir?AJsqJsEj^HvhlOhlOh:bQorokvV]mr@AZsqZkgksv\\Qv\\Q:r_Yme]CFH:mAjE:vL:@AZsUxysemUFQtO[cFEDKEwggfa_HZoCN=EUyWkMF<Qhj=d:=tLiLcmvHYYv`L?`XI`uHxXAajpLTZXUQlYWhLZtj?yWhDYbhne<MSLJ\\Px?tK;ATk<Tqmmn<U;mRR]Qfep[pKjXyOmK\\=U@@XCmTCUR;?r>`lFPbvgpf^lP^[o_ZWXk<o\\XxeHAcOIfT__rGd@?yOVy?hfb@]c_]\\Hf[QniYmtPZ_Qtayion^ngb;H_@Gx`arPYk\\Orn@ajwdpieMA`;IxYWy@GeJqZW>oV_\\CYcuaj_?bWFgZQn[?[iNeqxq[nnCVl]q[_yjcXbOahR@v[Fc\\itwgs_QZFg]@^ZVn[CW\\@HsWFiyihkf[GNqh?r>V[Hx\\ZN[vX`aQ`[Hw:@_vggSOvjgpxvqQp_xx_YwhHng:g]F@ndqnwvvDVcZyoXVxP^[__ZGxk\\wit?xlXx:XcrHbiauMNq<HgsB=;DVwD=AH>AHFIsyGBIcftYST_hm]DkYYB;BsQX]YWhCyt[Ga]tGiBCYhOqH:YSkoxvAsQubNaGa;sIAb:AyckThUtrAxeuW=gVUOFFWtXkrEEbJ]cLEgFcVlEIDiDl]dB[WySGJwHKif?ythWx?aGb]uFITf;VqYGimVrEuIqvwMG>]iucw@wF>excIdiocUaTGAIwQrUCf<UXBUh_iFQCULuH`uuUARsAS;yx`EI_oX[CR;uG==B=EhhiRO_IHaiIEiB]blcs[cSaWDduvfIHiICPEw_WUlSwQGGK[xLSBJSDcueiYcEIGoUsSghVEx^obqigFQVFesV]bvqEJ;v]_u^qi?yi_mdMqH_QHOMEXAFFkVWaE_OCwMydOFkMU`?B:=VL[x^ATRwCc_eDKdIGB;CDdmYuKBjYeZmtiST`?taGuHYimMEPWV^yC>AgVaWMUiTGfZwIBEepacXGFs_UpGUHEgUmcKwu]if]QfkmSwQXDOXgIueqtE?cbEI]GVwcR[seA?E@yR;ASFODC?C?cyXMxr]YN[c_?GOCxMwwXQHwqVh?tayxNirqUvG[s;yVGMS>ODNuEHCgWGX`aDKovX_UrsxuqIOUXkKCr=R:SRKohmuUYMYX;XGstbieQ;vdSVhMdmIDvGHdocaUeCotjSRX]wcKr_Qb`guVcBRgSameOUbiutRWF\\Kf_cSDSi@QGR?FOwFAyeDaFaYFI]guuH_YhVwSb=uiQTuguxKydqu\\EHHQgN;BBYDf;tjuyaYhtcbRgW=oF<esqOWNoe[muFcmRXN\\Lncdt=mmWUjHymsDPsemKePBATbpYWisShpM]LF\\Rb`QxeoKeq^pW<YxFeJlDnl=r=ErdaWeiq?dxmEJlQym]xTTNqEuIElaQL]ms[EtFDuDHv?]jrakdHryxlktpRtLbLLcTtCDpqELmqY@PVSxob=tgtrNmk><ORPWYmPS=UpIO_iXGHquQp^HWwlR[`ujuWVtOc]UB<L]IKKUXpHYqEPFAlIlQD]XyHR_\\x`@mMAqWunlmN\\uOrTvNHPA]Rn@nkEN@EoQaPbqVWMs><M<\\qNLOn__Hp_agid^jfirPo^KiiwPiwFroOyvq]t@yxaiwHaraldHb@`y?hlLfmKWaO^nJonugnH@uVytoH`aAxlXXQRhgtusX`QG]mWVGxM]gwwfgqcSSXHSd<=Vwiy_UI<]sUoH`AW]EUiuivECtkfYmDGAtOoB>IXPSd`cVVguB[esEYLeyeYCYsVByXNASUWTukhg]sj[Dfoi<qCLYSJiSJSXoGHqGH<sXhIxKid\\SU:_i_CfvMckmsqaG?KhbqFBYBycDxof[QHCIdiQC]mcVSviiV>?y<OuKkviYVFisT_Dkyu]ETaESMORJOb_IsUYucEUHGgVWuiYUMKGriU]mwX_GtGGlyEUisYOuE[cXatjugiHTo<J<xP?UrqttcmU=hNGujgMWItwoXQs@np]vcTVH@kbmRoAT:PPq`W=yUWenxdVvYmsqrCqXhtNNmKl\\r>QuiuSx]UBYXoExmEmqXXNmuUPWyeps<y^@Rx=ViElrqr\\`muQqi]sw`wv<vUAvt@JbLRNDwbivaeW_`VliLwijhajiLjR=jSaywIyq]n]iPbuJxuVfIjyduo@Mw`P^EyY=YiHxBxLdAWqyNRps`=mWDYchpjit_YU@HJpDU>MXiAyhHQBYNyyr=qvG@RXdkv@yvprveOXHxJ\\q[@M<mmGyuItMl@kaiLfqQdyvytvieJo=P<YJxpqYdjEyt:uR]dmAHlhHNwaw]qyf\\n\\ELveOCPnlEo=qwe=VZxlHMn^pq_PQwyK>AwZdmWDNVEs\\uUe@OGPMxLj;=QhtwCiT;DvbxMrQt;enaMv_AP[pxd<S@XlbEMIuYuixjDPdly>xmDUNVynqMp:Tsvdyo<KBul^]KLHUv@wguj?HTkTkqym:\\JD=W_irMQYOhlJ]o_ENRmtWpw?yuETSg@NXhw;uyTiLk=pndwxeX[uyhTpkXwsPO:LkV]oWuTt`T>eRtlyKhneNdn?ev@[Soa_A[cObQgdbPmCncN@^COr[X\\ohf:gdG>[l`ZHI[P?nT^?[E@IdRoDIUrC=GoQtZevY?xuyDuigAwixmRnSG<eW?uwQ[B<Ug[keviCt?d;uYNARniFviF_OFtKxXOtnoRbkVyurQgxUkI^QE_[er]SqWVS;TOcDTGVTIr^mSrSiTOi<cCl[V;qCvEfbKIfCR@=U\\ySBSYUIhREt;kULGFwSRTYh\\mEWODI?xyku]YD:;vKlyTtRLmTKYuq@jiErNAnR\\Q^iyH@WS<tNdJTHs;xL_<S<<JPXqXAWnMsKeSHLTRmYlYqdPn:UPS=KL`KsUuk`ul<ncQQNdxE<JXLq`PRmpToHpZEUP\\S=AJedrkxwQYYgYxmdP?Lk`aJPEl<yR=tsfqTUerBEtZExLLrq`JC=QQqweHP[hk@=TGmL\\`L@`pWDKAat[HMuhmKXL>unIYmJiP=ImR@XJ\\rMeYuYw[mxD@OxIO\\`ttXt\\pKQdRp\\m@]QUURPeOX\\SdySNQVeqQ;<JElUN<rTLMnimCpNAlU^Ir;<pppQUaui=Jj@neLMZTSH=RMTLDEPH`xiymkAMNAndPMrmXMmsxeQnHtBLo[axSXmNDsYiLELSc@ky<urNruiqVWbi?xS>b:NtKhdXGdLFrZY\\@gmK^o^_yxXf>atj>gO?dchhjyncN^K_oZ^y`VjPhqx^grfkrVy=Nx?aa\\hkwW^uqcRf]NPeYHZ:FnfOycGiZvfKx[ewbFHqOAun@ZH?j^VsAyvswdHY[Gge;PnTnhSPlg?glWyDqvNpaqooqGphnq^oeEV\\TPg:xl>?h@PkXAcAv]x^tyxZOAtu>cAyi;yeIneBNmDfk]GrlOZ>X^Mxouhs;ycPor:pnU>`NWZI@ZFge=PoSoxwhuKhtHWiiFihx`moqvWdQApgpqsFb>v[=NuhPvSatUQuvorlQ^pVtDhiwXpwqqDVcLH^l@jchkjNtf>xL?]lIoBPi`p[?Gd[XeV^bCOjnarVive^n`>`kNo>H^BGh^Wpc_yrykiI^BGiFpxPgjFgn;`hvVkTAb?pop?lIviAneFOn_agKHetAZO`hRNZqyurqaSQjdppJ`\\??skAax_yky]rw^@GtLygfPnJ`bexd:qs@fuiGc>Y]Tik?nw]GfJO_[y_>@dU^qJH^AVaDWvh_lGW[dG_ExxYx`iAiMg[N`vuQkigqMpj^n^KI`s>c\\v[mh\\A@^>ypXxjCfnOxbVOv;yiqYZDW^GVj\\?]\\@]?_asY^xIyw@ZsvirPbcokD@[EP`lY^M^_eGbg`^Kvob>ivobWGyjWZwPiBVmGNqi>y]f]?gv`ituW\\dwn<`gN_ZqyeiAlVywmNeEFsjO]gVd:@_l?`TFdjaeLfmepd?gcbhpr^bcVkPps<xfo_`LIhNvZAQ[k@noPpBxnE?]bPanqeCFxiAijItTntG_tA?goN]R>w:>n=Ggo>tb_`JWoOAdefvKvly?rynySpb=guVwydyvaO_b`b?^jEO]RGb<@rH@dNhZBGyKnkqfu:PdCVbrywiIxIy]yOrIxavXRMRRcD_QtUcX;UiiGReAFgKxruxIwEkYtIwy>yxYIXJStWgsDWf_MRccRkqwW<YadnIdVIHt<MTDTnrLPi]UgmtKQSE=v?@OpYqNHPbLNXtk]vuUikBYi?Saot=YbImIB?DpWyooClGxrgYggeQMEGWbUOs<mcDArAQEdSfEYUf]hLAdYii=YiqEXNqTAIFfSB=_YRqiqGtLkRUQUQQhiYcVgE:aBZEw][HDGSBQBAwwx=GhgxDgfpAtMyTQCTJIWo;tbecHsTFgxHKt\\?BsCe?mxawY\\ybqMB\\wHeKD:;hfIhDYCBmXpqeHQwxmFesBtywUgrV;fLIyFsSrKYrCVqcDbOI:;xJkcbaIPwhGSwAeS;iuncgxKR]SE@?ryWrySSd;yfuBMUR?ufRcY@]tLeDG_vkGXJsRpWXiOeyoN>eVIlQqMOilputVHPQJmM;<rIDy\\@SyMNlhrrlpyHoqQxBTkppW`AQ:Aw_IL`IY>Xk=hpVYqxmUbMVN]K]LULArDPL><OBYsV\\nLPqxayfpQyPSQtQwtoodp;LMsAQ^mmAYq^UKdPT;`OxukYtYtIL[aV]IKsqWZ]tM]MwMW<UMn@tb]PJYtpYwlums<yM@MDLUGpLtLkhaySIReHt:UnKYuCPLxEsmeYHtLoYMgpj^`xHtwXISBupnUUAUU`\\xgdYNETq`XqhV<Uo?Ixh\\U>PVXptu<pN]XDHSBaQAxwx=s\\xnd<o?eJBHvrLlylyMtQBPNLiqwqTT=tTESBHv\\\\LEhJe]pJpLyYKftO[\\MGXNS`S\\pXFunxTyZpvStmshWPuvoEMY=lLdxCXvm@pliuTYKjDPgPTJymZpwPEYpxQI<kC\\lqtvjyvoMK;\\J@yR;aSMpNELN\\hNGUs;UuIPwZaUxYLFUsN<KN<WgqnSqksdWUeJ>ExMmssTUx@W@=sqUoIaulxSCtsGdxumOMQP?lX<pm>AwB=rHyvktp=TofamqumQIOB<lqdtYQWiQl@HMYhwepvIHT[xwrQKFYqN@xTIraMwmhSkXsCEm<\\kIPTwiwHmpZpYDYY==JNTuamWmayP\\tIEyHMyDmxiPxSXULaYxTnxmry]rSAY;ewRxjvXQaQqaatF`rbQmrQOmPYB`QuqqJXskdvVtY>hwtpsUIPlijdYUx@jEMMutxWylUtWwtksdt=@NZ<RuHJuplNiSjtRvuOhXYxUrFxljxvIxPFEYC<KLqsKMYAyVHlMydrDdUTpsQ\\PYpKcPMmiMiYpalsDyUXqwm]ovmvRLx@TTNaMIAWk@mManWXUIXNyEVEyOfEt_`jaApgYopEy=htUhM]xVoaJ?PTSLkrAmW@kdUsCEm<`kMDloyyH=oYiwLutseKaXq]eVt\\QkIu\\HSKlvcuQ?UuI\\rhYVp]v\\UyyqyFqYJXkOUmE\\vuPYfmSVpYV<nlaWuqJNewpmWEyYahUgAmYPPH=V<hv\\mSmHWWIk\\YqaXl`ppiqJ<esMlQmmUlyRl]tqMnl\\OadJUyjTYm[XWT=p=apFElBMkLENiDPUytW]KcTva]mbHsYDWVyuvTmhqmYat\\MtYuYPyMYQvMePapX`LR[@TbQvQ]vdAv>lPEqqgxnIPyAaWAUYulx]urqpJX`LWAv[lqWUKThKU`lE@ygAS>qm:dNdxj;qPhmOWIW]lx\\<YmDraaJHLX^yw;uuvHqP`tHhMMXuAIp=XVv`mIxt^@vq]VAiWxEoEpYD`YjqwcyyGaUiuR@dUmtOV`LBys>tXnywl]m]@tTmVWXtaytcQvEmvoXs?am`eyFXn=TJNTOnHWtTMMeQOLnBEyLdqoPkvHw_`sCtmsXqHIri<VXuKW`k>LYOYX_hTyLqVyVhQxlylHaULHnBqSAdXnUJMLQjiNYhT=`LnMunmTiAtNPs;TQtxqiLl]pxNqouQVVXp_imyUVm=LSiyIykWIQaaohaJrEkNEWvDmJawBAMtexWHQhLU;uNeDQUepvLvcAOR\\Q<eTPUOXlNterL\\XsdkguxvlOT`RRHJXtQp=tUeYOxLZ<Y:<plLSG`pMxJDhjR`S<MJjiROmmomTQ=Sp=tEiJjpuZXYvajYUlCYuq]yP=MT\\xA<RDPSi@YVQSAUNUMrAixplL=@T_pXZySqaWflLfTs:xvqPK`AQjaKjiRMqpPMUR=K\\hyWDPUUR_Lw^ax]YvBuRw<r]PkKQYK\\SAUOYMrAEPEPvHxs`tjj]U@qt@LwG@XBpP@<ohUQJimnilvMKP\\Qi<NVlLH`tEAjhxQZYkt<uTiM\\ILIyUk]YQaw[tUvYLfMpnXwUarDAS@hquxuopRbdvA<LmHsghTbmLlMPDtO:xsWpLNXKTYrXdQapYGYxm@JPhJ]IvkhYL=rHyR`HRwlpRhO`Itb`r[LxV<Yk\\kvuW:PX:<r=yMb`pX@UwqqEUqqHvJdon<lPhJj]MIDOSUrbXl:xL:yn@eJeiRRmOHPVPyKvly?PUGeucDRceKZ\\wNyvT\\Xb<S]xtd=nQUk=QtWHT^]xJpkxQjy@vAmnQYRpyyaEVGPWbdXfaUiMU_tq_ToR=XVTKwHl?EpamwxTTo]J_ILZAy]uRHdMfHLNlp<HsvEK\\Tybiok<s[\\Le=VJAKYtyWtO:=JjiRKuoJXrLLxSAJ:xkbaWiQXBDS^eV@<yRQuByY:<PA<wRDW^imMiJftr==LqyS^\\UD@kvUo@@om]w?hlLAS@<JvETWhM_XwKeLXdlXUKgpSCLpsPlyMMTDsrluyMJ<hv;LQCyyI\\ok<R_PP:hrk=VOPLlYuehpVtJbdP^US]<Ufikx\\qPhyFqoseu<pPLEx:hQsyqhXj[uwT<pa\\UWxTAesgTLqhUXAjLIO\\lOkAyhyMyQriPOA@YoxkSHn\\XlIpUPxMnQje]KNEKgHsVTS\\TyXEwW\\n<EOnMY?=Siewvax?@x<tWIYr@MwMyUxHJMAX>`N=quZqx^PnLxyGtmwIW^yXnyQEDPYERLYKvMYYhR_eToYO`ijPpo=uYNIPRdWGaS^aOLYwADY@umYUnExOVxtl`MIDRHTR^=J:]Rt`l>@OBAsppRR\\LiYX>lxhXXjyVkevmeYKQxS]RmHSrAxBHTeUy>Xk>`Xt<JvLObewfAncAwoAQ^XtpIy=XxtuVoML;XRv`T=MtsLVHIsc]Rw=JxDoJuppeROpTAtm:IRRQLRMRldkjTJv<Wt<UCMrkXLQxoT`PV<r;arJhvgaV\\pnoPQITP<uVnAJExO[lMWqxKYpZEs[\\j:QJ`hjWeXjxt?IqgdnjaqTQRhhxJAt^]yeYj]iVpiv=LpkQNraxmMkoMwuQkXiq@uNEPvYXm=DkF=n>pRP=qyij>`P@lVtUxqhn]]tdIRu]jwDnr@nBlk]AJRls>Pj?\\xXLUymQ<YlLpKHpwVtPnlW:hLKxwn@nDyQ\\yPaAMdhweDOZ`XYXO:<LZTSX=vqxyZ\\OcAonPWBQsv<qbmLCYKE=PAdKFlMR\\j=yRvpKpyw?Pu;uwE<rPQvBpppxQm@N@PRJDUPllC\\uuTMrIrmYJE@XGujohPVhKoXjPAs:<VSYrsuK@XuqINNDlHqjjYsyxy>yr;AK@ET>IssQyWYuGqMrySjEtfLvXyukqyEAK=dLBxjgyx_`YKDlTyqjInOERi`t;]m=<J?do;@knEwPilMDJCitReL_<x=HpUHvM<J:<L:`N\\@Nd<JPPkD]QCxuy@YJDoI<tBTX:<Q>YpK]T<iKbdrKLko<nRxo;UW^INl`OrEOD`XLmjDinqMLSQU@hwapXZYNlXj>`X_UlrIuLQMBulR]T@DwMqJdVp]?`Rnp=^yCywgyppFm??orygvIudGbgndVviXW[`HyB>vMN]Gf\\?QmwqoXIg:acqp[I`xWa^PnxaNmvX\\F>stHtr@Z^`hTI_D_jBIwj@f\\_lGX^yIv;nq>w\\wPnw@nafnMAldFcn`pvnZ?Q[f`gKf_chjn@ZjOjF@ipnkPh^]niMhlDY^SQ]W__]om=HgRY\\XnxRwe\\gw?QjIynhivDwemxtaVoqNiS_rmxwkytQ>ZXA^LgtDNcSAxW`;UEPCvfEDVQYZ;GbkfU;dTcI>yGv]HtAfp=ISkhF[CF;BbIfLUHIcVU?EAmId[I]ouaIVWSRTAtgEUjuwUqhhyCIoFFUDrcGvwcZoXJYy>;FlwwA_BAAXlAvqwuyCVj;tJEdpgF;YtmQRPMC=MVxurYsIC=CegCnKSk=cf?cnmxcQWWefEwgSwthoYDYCi;tyuUdmCxUBqsIQyDdsUHQFU;yOsivIu:uRIUFiayBqUB?Y>yegoCnaWXqGEeWZWr_GHRywAyFiECm]vmmtPyGYwhoYc_aUIgbsgWuKXp]W?wC`Iws[xeWEmuS\\=wJqE:kIUArZaTnadQeR:MiMIbdsRkYwaSuRKYvAyY[FEmEjwhduRH]bbiBtUbK[sn]yXYXcYRFqElIyI;u>ygnYFUAsYkS:_GGSFOWRrqCSYwgcY>oTgWBOgdK_SAEFjsiuCR@mWbSSO=f<;vswDxWTv]EGoUSKevYCxQXfquIyi_CdqAB[YiFabR]beeEN[hrkymytiAyqyC=[HLcDnKES=sQkHGUEc?Y>QsZMIIGgcAy<kCcOsBcgjYhdkYa[Sbge@KE]SB\\]HG?gFYvQyinYcyesEMFv=yMseGUDaqv=sgLqWPMbfKBiyirSdMgX_SdbkFE?yjYUIcdPocrmU:gHdERKOtbgu]Wyl_Grkt:uFW_risY;kyVuCWgi?EExCe?SUeKVJUg[_dQ=dgCGb]TVgTWmxyIhquI[Kg^EWyAvygrnADH[HRsGv_ckQru;EGSBTUGg;EJQUcugn?V:UC@[hQMyh_cTEWi_XpmwnwTTYG]oT@ugFOUciUcibY;E?cCT=HZwXk;E?SB@iV`=tESrIAs?AV^Sx<YHEcsFeHwYecmuUGUoaY:mGQaC]kcKsF<Yx>]emaeAyc?]WUIUIWIwKx]awt=C^AHiARK]C^gXWsrAWuhwe\\cUTCCCEWbCxLkYxuf=eEPGf@gUj]cd[HcsbNgy]kYLiTRcTOCTQGCWUD[_x^YsPyy?=iZKc\\[GoccfycyOrOKgZWfguK^QxaHlpPsbNgbfdm@_NNwjfpAXwnYer?w]woUFiuWsdFsJ`ZZYrWi[Vhu?pwhoxWVi<_i:aib_o<Far?lbftKg_>x_Dx\\Hy^x^Zl?pZhnE?pEg=YhMqXu;EegFvixWIfKouiAxqwixWYnqgJOxy?WjsboYDYydDyEcSy_=BYCBR=Hg[UP[sGigoYdngY_UX;yEPGbYoI:QHg;vFaTEuC?STZWW@KfSyejYxYqiA=TE?RKeHNUdlIsmiwLwu\\ytQqgwKvmedoiFIWwMotiyRTEC[_y=yGJaXMcbLwEjWIbWE[]vLkHx]YaORqSCbCyW;EdGByOTxEbpWiECrb=D<YiY=tMiCrCxbQiXkg<kIq=YIAU^ihi;d:cv>gxIsyWiE\\wT;]c\\oueWFpGe@qy`qvjQxa?i<As@iIrGwNweK?W]aUH[cLEvxSHa;BrUXdKguMU[mcKeRsIu]CxQYB<Wfo=iNOINQWPCTsIYciyWgxWSFUqYhEuHUX?SSbagu?tg_u\\IIAOyKCHDOwJaRyOd:wSrGrAwex=rqoyr[tmSymMuHWBZqxfgYkOYlkxCkdoQxuiw^GYAcbjwESIVRcVooc<MxJmxfWFhqwfOc\\ItE?waIyXqGBOf:gw@iudiybEg:?BhxlteM=ur;ATULNRhkYeoklWeQKlxQwMjaln\\xTYYt?It_yjLmK=uOcAp=hNN`VoAv:`YZetRDL:XxtptsTVNUtd\\yoewFpOTYw`HvCXvoxn>=SdDSr=xKdMOAj=HQnQwJDtleM_axddYwpVr<X@hXbqY_eynYhaQj]gtKhy[iah_qAPq^IcBplEA\\OQ\\t?k\\Por>oPwhaPcsO[AVhm_kkAy<xt]`nCvvSgaWiaja^M_[\\NwA>huvrvwc`WZaog[o[:i]FpeVahEnlt>wPQ`B@if_quYwq@l_@_Nft:ay?qiXggRNcPfm^ppxO_xo_QNlWvZnPm]yx[ipVPnPNZJFgZop^xbywhnAyEgiKhlo?^gQiNY^\\Qa^@gVFZ:>rA?]eajRvvUwpY^_mwg<_[QXcVQyqQdlOeAAiRabh^v;iwaxmkyxiiyBv]F_soAvLxu\\ydSqow^vmhloifIXwMotivnE>kD>rAfd?A]:TO=USQHdibn[IriDdOI>[wX[tk=ED]y_mWiGsDobt]s=wStOB_WV;Ib=SSiWfaQS;egYkYrYxtQbsCS<_F:sH@obwISJqTSSYxSyCCFe;tuCIrqglOHQKf_QG\\mgI;yU]y<_w:uSZaCE=TpOtQmfJug@uxV=haAteiEroxGgXr?bWITJsyeYIBeFOCuecSl;GDUgNmwqSvkitl_eWSF_cHnQG;WGFgrUiV=aHaAB^[REeERoTYch>wDraxXcb<uv^ycA;buIhbsvFgWJcVCkW:SRwARPWRu=cHyVCUfaMfTsS]ywP]EoQWnIwq]sgiTqAEY=yrQIxssqqUqUymubKsuwGYcyTJMSrGbIOEdOiHcsFoUgQrysET;Hycu:Cb\\KIWWrW]EWMXTcx^AD_ct>wUcOFVIG[uHSOv=Qhl[FfoWP_EyODS=tMQCFQd@OtsSb=_WUkxg;BsASQ?u=evIWGBUY;wSWcDWSfHctK=TBSiZyTN[bjUbHOg=ugICDPmxWUsXEFMArRay>WEq]BoWVS[cWmYbctjKI_cEp=i>Odr]IJsIIgBgcyGkisqv<wTTUYLAYmEIbSBrgrvuW=stI?WNYcOAISyrocslcGVQR:=yKaEnuVJcyB<Wjlvm]kTiL^dVMtQxAxa=sl=y?LjttZtO]_GpDrDytSevwAUByfFGGumIaeuoATL_vQGu:wIEcFlOy?eyZotiSEm_wYuCi?h@AuQ_sreDFECBsweqwrMc_Mrn=Bk;e?OIn?HcevJ;XYQv=yum?GY?yCgi^yhrhWQqwmIqDQyLxroIoeyLM@TLpWZYnHdpQYROUlKMstIvDpoxukxLwT\\XWejO`TJlYTEoHUXsInbQQlIVS<wOEnbdNbqk<puRuRTmQvIpe\\JmuTdpYqUoKTneprKynY@Tr]Xq]r;AqX=RAiX^MrCyVQXvjyxKtM_HpyOhPNiavk:hyHvyK^x]NmgFnhhxZ_[A@]hIiGxmnal;abWGdqNqqNqKVoPyxXIsXXw?^lXYZLqrFHtHQihilEokjAdiIvM>ZkWxQFskodGPaaasiApuHrZ_]Kw`:x[dYnN`oqwcMn_XVt\\a]uO\\[Qbj`t=plRi]>ayVWhnOoUFwfinbN[Wf]sw]jWgGxsDWreykAGv;QqKXqmXaiyqIuAiDHWFf;BqwwE=Gfqh^iEMKU;UbmQDm=WgqwPUgAcy=iwdCr;qTo?XH[YZuIe=I@yR[KbLIcCkwySsqqX@?HF=rUoGgeCLsUKCdhSGjhKXIO?\\k]Hue`Urim[EKkawu\\YlaNZhXdxNt@QhpJtXOpEMOInB`XoDk[ESWymJyNRdRRiKVQUPIlULKp\\k<mLT]T=PYhaUdTwuLnaPjiiy<ATNtMjUt=ENWIjy`pH\\U_aPN@k:XmqMKDlVVLs?Utd`uGH]hwflX_wqpSiabFsyPvaYeiN`twZ?XdqFq^``dxx;@iSFfw`ZWQiHGZ^_nOq_thuEnedOxCw`W_vj_\\X?ZmWhyGj=Qk<@Zh?fnqhU>rm?]wV\\janK?iPYnPG\\;afCNyjokSAn?PbRIjxYrYHxiOHmTo;VWEvJosuCU^ubS=WOAxEyCK?yFmvPgbU=YJcciaUUees[SmQEI=W^[VeivOaXIuid?TDuF<GBUAROETQuHiutaaIhecW_FN;BZugLsXrMtJmeLuW@ixGoH?WCxahDSfXSb:GIfWDOgvLwu\\ysQqoJikxIOgMN:tmi`oiDYVumvpyOMNNtKxDRIqVk\\kQptgivZ\\L_<JvMtJhOstxCxSX]jw\\bPwbvXt=pnd@tNQaDGumnryqA[UXmVKaU_WI?[YnwFmAwwWinafhignaxUCWxuHLQViKiSgxN?B<CY]CIdgHU]tdmtbsEmITZstw=SOMifUT<=U_OIXQS_]IgggL=FuUxnWdWgxryXcufBiiicgrqxLuxc]wicSAwiIQXLqf\\MrquedAyJYsWGivCUmiUtStugXBCfTYfNOhEGSYOU?AudcDh[YN]eVyYROFeat]IfDAWqetAcu_wGQKBsMwHmfnCEn?gLWcJwTRufOweHEWnoseOIc_gLiy@khLAUiCgUOXM;BDghPsxiicdCbOyXkuRbOtWOt<?cPWthcD]SgcGCZYsJUhu;ImcynQIGeyHMSRyrEgCb?EJkeNOhsIfxwxqkuW?T_;xJoRwIvwCbvGimUt_yScGDkuuiYvpaV;USTMtfwU]?eqed\\SuM?gKUYjcf_cGc=dyWSCcw[?T`ORGqTEOeo_I_KB;KSoofucv:YfcYBXKTWsIXyBauEyGUmeelwt=Eh@Ab`WtKcXUCYD]BPUs?Kc=KeHoFe_TbyXcIsqUtrysTadlQYcChOmV\\gVuChDuhVOWieSuEXxyxxkVsoeT?r=EehqtOUc@edJCY<cRT[Ev;WEKWa[uumft=Y\\GWEODX[gMYVYCgoWdDcFDWeQeiCcHlCYdqGBod=OF_KBxKSwKiN_gMQHuWTNiuuiYP_HcgRPutbCr=EdTAwfOitSW@mxNyfE[ERocZEtD=d:CVyMyuMF\\KwMms=KBpmg_YcPQgXkgMEcisfgMWIkdUUsiuglMSo?BB;xLmyLwELgSEICOqtaYw]OIwgV:Ey>eWuMGGOSDOc=gFKQfEEiBwc<uSh[raaHZ_iQ[F>qC_?uYeScMFfaSkKhDurgIf>itaQs[KUHUyNasAAsaqB;YD\\_smkfc;UHKceIWC]BlqFTwSXOW^IheuSG=H_OUbedHcynUt[eIwacasRwigwQH_oR>=UaggYoU__TmoYXORhiTsOBqYt@[WgCR]oTXOV[_DosFUGWwYENCX=?vGAt`mdsivb?yrMs\\WSTibgaDsMFUyrkEuGEduuFOcyxyumYSxUci;WQqGTWgcgDX?I_Ksbeu@Sx_yBn_f?cCTeUTOtEch;ysjutH=uWot[exAYCHWGWiSk]BD_wFyWkwiW;XsQyQmCFuRjoQ^qSVLm<yv:ywHdsbHLSyxuLptpThqyhakDpQ<@v]@Uh@SoPU=PmGqNoPUgMWqyJnDUVlqjeQs<mUmSTaTelVb\\vSAKr\\YCLsQMmNyutpMiDWLqoJMra\\oaIkD\\oilnEMmnUWNHKBtxm=q_PWwixCep^HSeTR;tx`ambUoyxuiPYPyn@mNjpK<`uNLsOAouDUhPj]@maqq[tLclppaUjlXfLqNES>pT;trtUUk`S]AX=uYsDnT=swelZmw[`KmLmFpJNywqyxxpJMXKiDxEpP_lPqyM:Mjq<R[@TBPJ;@JsaYXMXETuyuJ\\tKmYVFQmNTquayc@naUtfhSSXq]eKqDyLdPdys``tFhoYYx>AokDmKAoW]nRxxhmSq`JOTm=LmKaktikFiyVlU<=N?ephaxherNyO@qMHHL>Lx>MONyW`@sg<YcLldLTmxQwDYKHUHLWNPkv\\JIqWi]jLep]DjNapCEKIiJ;aulMRWqV?PLquuGiM\\`U]hqhXjMLo>`Q^iK>AOQUWLUqUgkV_k\\Fo`ifmY\\gnZNWcrq`<fhqfZlggdgvv`^rObN@sq>ouweYofNisA?s]^gPYjRYrv@h>_bmH\\oP_Chh:w[lablatbycCp\\MNgQq]HYb[>l[PeqObEOeV?ivqlnNqEnZ:N\\vF\\Dip`^pR^oaal=@b;`eqgihwccXeF?d:Y^Jx^J@nVGpBGyFOj\\FlNfdpp_fV`dy`qwoef_T^aV?^HwiiYhpgxbHbS@lQ`uhw_?O`sO_PVhNPk??_PXaw_sPho>Fq=gkay`rq\\=NsA^jOihh^v]vukpbwYnZokBpfgNs_Omnfn_fkdFlwikuHc?PZ<xjpieLq\\wQ[_QxONoOVdN>x:@^>>whqyHQhLqn@WgnxvvXeJW_[>luntvOtvgfIVwjQd\\hqmpx_wllnq>fppamfYp;WkdGqJiiWWx`N_NawIwwQytGIiQyvGXmvGmpfSAbTSeEyrD_tT[GBoV=KWPSVqYxFOY\\CYdeevIFs]TTKWYiurYC??suETjsRngDBwxmaDsUD;aEKagSSFqWI;ubiCeMMWaYR^YC^=gPqwLUiSwfBwG>EiPav_uvWeUHEgUAsK]re;DvSum=WWgVPqf\\mgBehDmeLkIqCBhybZsVkKfPUfGUdasY;WW?SXEMenUUNAsAmweqgu[hd]cIkC?=hEqG_]I<cBdUiqeehwEFIDKCtf=RG_U^eDVURZscq;RK?UFOF[?BsaY[KSOSuuUbgiv^gRs?cQ_uXAC_McOKg^YTNCC_khyuDhcWQkpBYvoITbdT^pReXSgqT?PTK@MOTqmXqGpMsiQaXKyUkIupeuVwqJ_YVITxsmJldLdmXi\\Qilw<<moyWgeWn@YSpPrIMAIqOAsM]rmHpiQWGMWiaUAusulo=LWgmp?]YCLonTyndQSqKrTXwYQ`hpJDylUqmAbKW``YusHpuwdvXZyXaEI_oWgcNxCVqgWoKf`mIlghvUyxmysOo]pIu]xlAP^ANuexsY``vibg>gtF]KAglVyvXlewm]G`ZpxZQyqG\\Ygl_Qj`Wl@fr\\vlp>cQ^`W`cbopoWyaobMHscAfeahSpfnR]KEGuDeOIk_UJIdUgDQEhVcXcqiw;YggXhkfnCEG=Wtac<yGQSTTcc@]HSguG=ev?IvmefwxUaVpeeuqiIEhVgScMhmSu_QVtCiisyHQtn?eHmtYywScVxotqqUHqtQQfcIuoiWJwCJ]WqmfKYcGEgSSUGMwdYsqIWLAuV_wxucwErVCDgKysMsNqFn_waIGywxHeyLoR?ABsMTgYvaAwfgSsse:MRbORMWyCcvquebEtdqG`wFlMfQWrSkDmgi_IUFqetwUQ_hR_cXct=YwUeIwgD:KXAOGnKENCGj]XlguwErVcI>KvEqH_yxVstQIWDecBwvneuYmsbMHbYTy]hmYUkQvP[HcqXYGH;yHKcGa[tFEYC=UycvWeIoADbChuCekIu`]tFGiI_uoyYsShPMbvCb\\qywIhVGt^irTyUEKeH<oYighwijAxUpi<iyiquOos[ivwyqmxfnh`iNygnyVfwTivdhikaymQwmip;you_eYHqxivFpxpF]`WyywkhHgsNgJo_QanKah<Wn;wmthupfpUi_dgpT`tb`fb^vG`gGOhywveN^\\X\\wF`SitGFdGp\\JIqZxcm@mfXnQOikH^QxZr>`eIeNiyd^tAYZ=@]]wjRi]^XnW^fAP]Xpmuar@Hn>H\\yIxQ?kCp^@hmf^md?\\;IfSnhaF[Ro\\fihlQluWvLNvTO\\wPyhip<IrrPo:Wp;^bo^tqq^AY`[prO>m_q]dyr@QnSYbbPk<ftCP^fWwbAnFVrJo`l>\\HIn_Vvbinu>tIhkRqyGVmqOtBviyY\\xNim>wHf`>i_?NhL>t`Q_\\pk?VsKxh`nio>n>yjb^xDwklFaTqb;fj[X[hHiLNw]XvtQcGih^Xlw^fuOU]ScyW?aE@eHEORA]RVyW;eH^=g=eyF_GiwgBgu=mHTuRRuw;EY;IV:]ckWHRMG\\GVWCwkGB_Aro]VVes<ASeuxmAvWIYwEufsYa[U\\?CkQbQit`srxSe=GhT=RW]G]oyUiyokVfQWfUt:GHn?VuSXnQS_=UcQrmKBs;rNUdBmyrYwdSX_oiKGil]WZ]WU?tnHQ[qvwPOLQk@xxTPj^ERYIsvQw<=pNmjy]WVDSnXvAPtcPRdXOAYPfQk[=OtAM]eo>Pl`MrTQK^aWRdN?dq^pKgyXT<ssTrLLvcymjIXaTX_XVIDPpdWFdTWTUcyQfpKDDs<\\xqiX^Ut_\\XfhwoIkKQOD<PZ]YXPvYujNpj`hR[HOo]qrawutUF`jbEoAHp[PRctXZEUi]OJXX@AoaeT>dpHtJl]kwPJ=QYOtQiqsWUqcmu=pV?ElNxMyIkY`skXjVtrsQJ;]N]uWJXt;MTvqMqYX;TylAMFXwaTPHmM\\uxl@KxuxI\\YnaNJQMqmwUDkpuNCDwuyX:@v?MqmljpEwGpLUQj?huaPRu\\MMLYSUJNPwKaTBYYx<k[PU@AQRMjLlyWpu:Lpn]N=yY;YqImQ^Qq=yjXdKmeLKEyA\\yFDJ;Pj;HVoQtnYyp\\osXKlirMXPxEUHht;eqhUNXus\\ilIelvYQ]MRedxZdLDtjaHsZ]kwmTmqSLDriyu[YlUyjRMQE@YRMj^QX;Ipg\\kGTJ]]rKeTE<uqYxDIrVTVFhQUaMwPRTLkhERFtnKeTexsd]NSYXElp=<RViKv`OnQwt\\SyMMD]UxUMm]owqmRqLfTM:XS>`OgmMrtJ`pUAurHTNe`Q]mo?mrRTVyHUmUR?EqhHVrlpjtXV=lvqYriyK]NmHU^TrLIrYaYHlvRTVFHP@AM]]wGLvkTXFH@\\[fi[\\AfHH`@A=S^XA^HnvRVF>=SAZFLi;B@lH:S^X=JF^W:lBw@ZRBudqg@VHIM\\PUJIVyEwl=P@[FHpi^wGfZmWhnOpc_lAqsQp_BVfFH@RY]uyUThsdEyDyMsSWrvyvyErysrm=uJCxiwYn=xYwYjEvIscPSHkyiwYxY?yayy[UvIsYvyTvYwYsXQ?BZUej[syabfcyK;Xf[cyYc;Gvyiv:]d_[ykIV[[CEuymkyQwEyyXvyiLwEkyycyu[AuyIcy[yeyE[QijUYpgH>AuxyXvYiB;ImIHxIyYmbjcEKsyhcykITsywpgWGwbj[c[[gyyvI;y]_yiWE_Quq_uRSxyaX;]d>iglGB:kv]]xxIIAyEyyRcArt;E]];@usmOyMPaMWBuRm@tfEMxuqBHqTtj^ln[xWpiYn]OnMSc]nEQM@pnCTnXpRjyu^]jEmrwuLCIqKujLtx=]yQxoKtoHDVp]L>dvZLvcWvuyayWZy?qHXqA@hHAq=pkowx;I^ngc?PoS>pHquXhk[pd:O`bFbtYtq@_Un^tgnb^yxAaLHwiIxWy`lNr?VZuxsvqv=QaLItnNo@hZB@bi`\\>`_?GdlnpuNiTYbOFu^PjtwgFVgfXnJfyM^^yO]THqspbMfxry`rqwuxgJvoUx\\iqh@A]]_kkjgEnE`ObhljUlaTtYAYimRGAU<PMmxj_MqStM?POMhk_mNNEK:@JIdnTYkAhpoXL^qJBlm:dVdUJTeo\\MSGAmU@JqdNTUkGhTNDsA<L\\dSTAYqQjgiOcxmmQL:LXuQLN]wHEWC]RnTWMMs=LjJLn@aX]eowaQsaQkhoqql=`MsEJ<xPAUjuiSOAO^YSKqrQQn?UQ?mW:`j:ejXLSoTnPMrG=jAPLgHMklrRTf]SfIIh[YlsHAgVWAvMAiAwb[WWLKd??I>YiyQeO]DnEDcahyUvmmY^Svx;BY?tKqEX?bCOhvOyV=h:OY[[CC;BZSFSgC==rGkr=YHX?VWgiwsD^uydUCxefHOWVmUoUbNDlGXq;Xuk\\kuisGHTO]TrDsl\\LsIVgpojEKOaSBDlr]YWmTUdmLEMP=QE@qrApV@MIUNd<JqxMn]XhytcDNWIm]Epj@tCUSaxqQTVFHP@A=qcRyIF]wZCE[AfA;yAyuJcCT=gdeXbCVCKVVERtei>GucIvQYus[hf]Ewgg;cWLKFKCCJcEFIBBYEyMDpmRQGchgT^]vrsfMgevcVuUi>ET>;HYuWIiBFgHbyi<Crl=xKyxIUW=YyiQCAAbh]u:IdDAS@YwUWEAWDH?F<sDZugQIC:;X;]D;AE]][]SIqX[=HaQRnog]?W`CxqwUxMrIsupAf`OgJeT?Cvo=d\\ecg;RBOfNYwZcybSBBIuUGIUiTpwh=qHG]Y>;DxchxGi?Sx@;dNcDwOwh=vAAE]];pUHivC<T>AOdXRMdyDMJxDv@tMxMy;tutYvJeSA<jmPYthXeErlpoXmtwlU`UYHhw:<q?hVGySf<qtMXrtp`ykLxnjlrRTF@uEMqj<mmHfaAZ^^bEg]RpdYfp>x\\reAEfJIbGsD^CU<;x;KYiuyruHa]u=ustmWkwwv_spaRSmbU;rRuwv[VFaunsE]]IA;FC=d>;v@AtZ]wGov`AHtSRH[xRSVFjhpw\\aJbdmdpyJ<vBETNLQtLxx<vPQM]mKZ<MIPr=<v=EUSuQgXuvAYAdjdhJSmQkHmwHtIQYXqPAIutYxE]WIiLHMNhqJhuYcTRKesgyQUYRNUs@<N<<L]@kADJvMyCdj<YrnXKqUOWttE<wr`yIdq@ems\\SMxm\\IP@A=faYivWa_AQ_dXrGAh>_j^Q\\Zik`F^=>h?Ycbfj>>v`yfvA\\HV^WOd[XwT^tLO][AoD@fsVkuaqMpxd>`uhuCvgfWu@i_hQqunoCO`^FZ:Hu;wgH>aPwZWHnmGtpa]ag\\hggigs;hgUYoL_u_^eKVlbvl=?\\jWjqya>F\\FxfK?oe@oQg\\>Yn?>uSgZ;w\\:>sBqlm>x:>yoyrrNjKgZogcApoOIdBxZKh`m@_Yyns`pZpr__iwipF@qdgevXuSVfFH@^gEifmF]F?oLNxJx`JVnVgoCgwhWmTFqRfbLgcTf_qn\\U_xcP\\mQl:>\\:NZ>Nx>OhNQmv^_n@]nF_YFhipyh>ybfdeWtbGp^HgqPbCvmjPiYi]\\`e]qgxIq?fhmwheahMx_MqnSIuUYeJAoW_nRxhwyhiOjDhs;fsbobwqb@PZ<QwwG^JPnTwhtwySHbgFbxFvhgmZFrQPn@AfuoluNn_fcTG]D>qYnl=XuAGoTwmpxfMXmLW^\\>\\Z>d^WhlQa@A]]_kkjwDrQ]R>uc>NaphZEQhZQl_?s\\qynxkHau>HaYgk;Wan`s?Xe?hgT@mu`frivAIaxyoyha:nkGVsn@vBoirin]WwVg_aWb<xuifwI?scas[Oe:`ibywFH`@uRnh`x^AVHTFbisvlIHm]ckk:Vy\\AaRXfF\\]SfiC\\AVHGpkF@hq;]MFI@VF]?Zkjw:rR@E:][u;jkFP:@=q=Z]SfZXPrk?fuvet@\\fi^snpwinE@xl_gEVxYAxQYfI?fUAvdFrXOlwOw\\XvFIyqglwP^pI]oIt@h`fIn]Hgj^oengtQrmGj=Ha@q_nvtMAl?G\\;AfJFcGayLirsVm]_lJ`_S>aeQyZwxJ?cPG`vGlYndENetV[GQaiGgMgc\\VoIye\\@^A^s[_tO^ltWXgYoqdrkFtct^[yl=E_GxQoGFSY^mu;mHVkRrAwekctidIgeOYg<EgHCIRWViKsXkdKgGoAXjQWhAUJaD?KwryHqev_uWFWVdAGbKEHkT?UYFciJsbYye@eXF;yMGW>evMSGoSgBKixOrQuUWKYC?SpmtU[ijaUrQcB?wVyGAAEUSf^yy@sYmWHbyc]?GuYgBSE`Kg;yGWmgm;utKdxeCCIXICUcAy\\oTw[cjAiFSSEWroQB?EEQ_yBMIT[st=yrQyWoEloylKb@AD?Cy?KClAc?cIWgRicg=USX?uCuWDaE=ei=SrbARMqu]ytUuClcys[hbydhsDUQvR?HtSv=icWIh@cviUV^sgp]wV;edMEDGU:ufXDxTTo^]wBHYIEjLIS<MYU@us=J:<\\C_b;_ddprkxxDVwR@dmhfrf^GfjZYcvQyjnhVhafF^Wo\\KgwN@xrP[t>]eHe^Xcw>qLQ]tfx^^vmPocXj[PvA_dqG^Vnl[Nqpxa^Wm@nipPrbosu?sXieBx_sv\\BH`pGj;fvw@^rOhNyeH?oL>ZsO`WOexGw\\gm_GcgalA`i?ItChv@^lqQicvtyGrig`c@d:imZpt\\Ay\\Wp`_kVIl@fsXoo^V]P``ByZb>lY^qxXvsV]JWqOqnKIkwihTQjTG`J>VStyORs?uaiHBYdqQcAqWKqsJwGNUfCiXPuxuKhZoY_sRS_YEwxWirP_Hdkbb[TS\\YWhmo@OK<SKUymaUrIMu=PgMTFyL]pvXQqq@nxEP:MJ>LKNtJnEtIIxlXSs@UKpJuUOwQlTIOqDKkpv]iXXHYh<XqTS@qO\\?hJ?ZxFmjfgSniy@jIgqHnjYOqRwfkG^h`r[WgOc]sShiwHeEtWGCcFtQbqeRwIWbkyXKgAUicOeJQw=]bO_xxYIrwT`UE?[foEE_QxCwf?wU<Gg<EyEOBoIuwOYW=bE=i@EcH?hkkwNEdHof[gYHquk_wlSXWCU?ARnOg:yy_WslEbsATAEGSkbLYy<gbj_XNOsyKvYsYi;fh]iGoG;oc_=Re[rKcGwEwYUGQKb_OD^OYTcf=eyrifnKskIHlGUGktaeGUSywUhZoVE;eaUwuUYicsoaGLwYuAB>OgJYg[YstMHRQFlOWOCvwecEsfAciaAFVocykUaIeaQrYkGcSC]]S>MhJobaieHoSIqROmd;wS]=em=FtqBtevsOfDKth?GDCsfKfuUy@;IjOYW;SDAEiSum]T@MTCOfJMs\\cIHKRVYTNsrXSfaer[orysRayGMKW;UbWswZYhfmwq?spCtMQgboto]yfUyKOGOuu>IIkYy^AVRmG[ieeCcKYSXahsOEUSvHOcdehHosi;J``jtyLfQuhMwdlYkejJDlAAtOqMdHt^YOgQndAVx\\tKuoPEnxXpZlRl@OQyU;=whlr[`Rm@SddXbTvLquUHK;aWPLxQiNNPQC=wCytsxXSyWEhucDnnYpYdVguSG`pu<ONlu[qJX\\vXPX=\\SDTNv=vImSIuRIIK]pMYyy=HYHIq:yS`ohLhk[gaG@n^QjRfdkvkPIn__^Rftt^_C_ZZGffgicQ`XX_F`gTorixwA@pZQjEipwQjSYruyk;_fMY]QP_AabIgo<Gc@GvQ`yBWwPYrYaw[NoCwa>Gd<OxVak`VgLO`E@qmY[tonmAoVn_Qhkks?;S`uh<WGAQHZgTE;SAUbJgvrKwUSb=gekDwZ`JK]K]pY[YLftrbXnxIJBtrI\\QOXY[hYjYUZAU@\\T_LKSMyTtuOxrJ`LWTlsAMtEOHDyfhLvqrpiwj`j^PtuaoCaR`YRWLWcTkr]PBDuYhRiUV]qlP`jfDyqXlBDuw\\ToykjuR]YyUdNihvR@u`LQoaO<Ql>xWxxo=QxQHtUPURLW?\\jIQqK=pHLJO`N\\HRy\\v^ppklMkmkHmtIDSHmUraru=KOey:tWppKg`L?XtKEts`xC\\pmPqkITBurKlxEAkhmUj`M=djZ`JsLyV`JNUXFhxdLt;EMyqxgPJWqk]pQj@VSLOlHrmMJ]htxUO_UlBTslLjDuWeuqoQKK=s\\@KsTusMVwtX[\\MITJYLwbpMtMpcyk\\LwwajHeTaynm]wm<pZxtu<qkqjqqNlDmeiXnmQ;<x`DlN`KbhjfLtCaPLQSOLujIQCQtV<MtuKH=QGXJk`usuv<iNWmQSTywIUJuqPxnvMO>mW:@LdHtN@kBpnNQSsAsaixJ<v``TqIoeymKUOQTnB]NlmxelleuQi]KSan<EJr=OMiugaqw@nP]SZDNLauSuyLpLEHMGUyOLks=RJLRNUmLDLG=oPTKKMNQXnNMN=epwim;ykRuxMtqYynUlR?Mx;YSsHrhyRP\\pR]Sc=tB=lQ<NrQknLN\\Lmo@OOLkKmOQHn>Mo<eyEtrPhKlqU<\\qNxQr\\mjinpIrSPySLx:YxruYV]WCeo>@X?HPmUSTpxU`lIHyPuv?XQ:EoTul`xStQyY=YYqUWQl@elBdRliyeykoaQtlVhMRo@k:=j:EkPYrxPmpPL^IJB=SnxwAAOgTqcLX=\\LTewbiQx`wkDUHUqNAs?=se<jZ<Yb\\le=TymxFhWGQUN@x:@jJdPhyKDQjtHMiDJZ@S]ay]dpfyVBYN><opDN\\hVQPThEj<ekcYlDhpbyVpxo]]R>Us;dLwMJ;lQdlUt<NiEP[pX_TR[tsdpMrUVsMWHlmLUKQ`pR]ObmPcUTx\\v`<rGEkPakBpln<O@=ONPsKmOO@nVUxSTN@tR?Mx<\\vCixIdYSLW?aJ<LNnEr[IVfIWPdSDHKZDNPQumlLhERGAm:=JBlm:dnleLd]PU\\TEynb\\v;DJ<dJliyEqrJiuSuU=mkYUjHumE\\MFIPp]sf=R=HOKQpwPWvaWatKs=WF\\JlyLHljw=u:dplDLDdj<uVyPNSptmTMCXTd]j>LXalXhLUMQM?`J;PLAMpL`OTEKlUJ^isI<WNUSJMooMq^Ts]dWjhVyTRX<ybUQaTsLPyStspUJaIxaDoYXqE\\na\\tDeNbAWuMWs@nSIr@AvFPM[hu@pu[utXyJaEYoDrVak@do\\dN<lwoyKU=kltSHLvXTqfuuhDWpTUvpq^eP>]Rn@nxmO:mqNUl`tLO<X<el:@R<@XZij]IsemLg@MCtkhXTEMM^iYUEjUAobYYN\\xW\\y`tmgpqiDWTyWv\\uZ<Lv\\LsmWJtpkpwhmVO\\l^mph]qG=oLLxKmyfYxdEXY@oZqWi\\KlqULLJOxN`LRSdoLLg\\_po?_PfcDHil^xbqiUInLgct`duX[xwt;_eeIySQlPonGN[C>^>NgnN]NF_PXaXAgW_s`_prvnVYp@fbjPeiax:Q^IvtrYsEhsRibtI]lWZ^IuuGhW>dhg]nhrpW`]`cU^\\mwuWwlivqPg_uH_lW[aXuXvnHiZXV`AAukNdRFfr>`DqZh?v?o`sHaJWb>`^<>jIFxn?xCXf`^^^h`=Fwe_loageIxdOkDfiXpjlpinxaPgdvQvDOnw_fvOjR`_ZFwswjy?gc_f]idnax=gy<^]Fi[GfvLg\\`ohBVbSyqVX_d@^giyA^`OAbSgkhPqrNuW^tuvmJ>__wkFXumG^d`f[YykygbafM@hDi]n_vwgrjFncFgNnykIZq>Z>ve<fhWWjlhtOAgHVs@>ZKnomnjIfeuw]fGpA@tnxrmiisVvk^gr>]ehdNyjuhjN@\\HqnKni[If_VxHPj^Px]nisaZ:Y\\<onPgbSGkXHmPHyvvvgYeUVrto\\SQtu^YQBjuBJGTo=gcuySEcemv@OCwQbs]gxyiyYyyaryeyiyyA;YxYumwI<;r;gVSAyoiyy=FrkwZOUiWRCWsa]dIyC_WH@MxJEx@iV>uy\\]Evahbyx=Mru=U`gBACroqxf]cgsINOlxEQumqdaPaQuq<UouXWxOSuuiAmTLtCQJxMyoqJJ\\qB`vT@oPXpamX_`QAXKxAnY<yAyOj`os<XQPTCqPklLO\\lIdK`Euotw:ew:DSwDYY`lc\\ob<xePONIVCdxmutmuS@=ui<viyMaApf<vhxseXPXLrCUOBxmv\\Q]]t]ISNpuy]rg\\JrQV?]pdhN^xsdQSsmWKTtb\\rE<yEYqdLl?`NNquxIOflv@EKSaXWtwydu<<xZ\\lQEnQYlAXqTUk\\QOQTtVaj?\\wWmSNdR:tq\\mqs]sRTY;lsvetOMTVYYG]qU`QVmRj<qMuK_eJ_aWOtwyqyKdMOAjMdq^MQatJ@pt=XLftMhQVspXlaUr@QF`VfyXaIf>Vuq>hQycs^jMI_pyeWhbEP\\h?dZPpxxmv`wMosmPqefhdquLA^aieYIvx^q^QfLynxWaIGZ:PbangsfkDpa<Xa;gwoqaVh`\\^^VyheQa`g`o^Z>@]ovxhyy?fpmG[Dypa^`U_sbOtg@d>YZ<x^=Wuq>thqwthrHqaHxtXyZIvec@cx>foateawQ?jdvfyn\\rOyMHqOYtVhtW>s>ggjQfMibVPuqXt`OkLflxfc`W[TpkhQq;hwxfuwNpxaqqQrwYyiv\\hvyri^rQdnamXFgUfjynaoFrWYtHhkhXsEqiHPf?iwcq`TI[[wsMOo]VmwGotqiaXqtX_H>jvGo`i\\`@vr_gSqcvNidGad`rbVtwvi]WtT?k>vghwvtI`]pb>?ila\\ovhq_uYnk?alTFkNfmkAZN@gSQnR@phXf;`]ox_u_[vop?QqaOkqAt]^sCgkLFo@f[`X[ThcA^tFAyB?jj_nUv_Kf_UalJ>bjwfbxiZGluXgHiroIkkX[GQ]KNZ:ouwXfgNyeq`<qyYQu_WaoPwoFh^I_mqeqgunxcqnhHomE^m:fjkXd@i]nqa<nmrOiaIcKA]@AyPNbrnkbYli_jt>mUXfFxrQ^qFY_^pdJVlBqrWAyZptk^h:VqaPbyav?OeCpmrXo^aoANyXAnaX]AvZwQkxA_\\Hsb^ya_f;y[`WpB^unAdias;>mJatYHjjPjn`idYlH>Z;>qo>nqqxfY\\uxZm>eAgacyj^NcjyrE?wNY\\jwil>tSvgh>w<@_hoiqXtUiqpqarxviPrVghywutg_uH]rHv;ooy`iny`\\H`Dwm[FbW?pNIbqpl;_r]WvWyeyhjffb[@o@nvQgsFqidwuT?``Icbhnb^yL@[s>m>geiV^>xeKY`fXpp@\\hXeuox[IpQyiw@hsOZKQ\\Mqb>NZv>kOOyj`cWFuIIl>?dLH^sHZFiooOrDH`didANccWakxsdqwmXZaao]wx<hxwqcvp[]hd;O_ZIrixawyZxHl^_rENa@ydFQ^]Ql^?c:^_egmf@rLGdXnnKgaufigH[WW]=ocQ>pW@ZNObt@\\AXtKGpiQ`nOkfyl:^u:QmipafwhD?w>XsBwmmA^Dil>pfnFdF?yZQyjY^xxyTOjyFe?wvTvqKVqUPZjIp]XfvxviWvXXj<pnZ^_E@l^A`lPmHPjiq\\y`xFX^CNdPixD_\\IvxdGhPwtriyIWcRVqXFdNF^:>hpqeNffrif:>pkvuMGnWOlnpiPohhW]\\grk^`nqg<@cafvmn\\xnih>hjvrRI[PHfZydrH\\Gow^OaVNwbiinW^taos?tf>gcygjisqv\\vPtQAmuwr?@qL`jaYnHPiIabapu;ikifkfIkhObHApFPqe@jVx\\ratKAhOH_P`yc?_[>vaQq@Hp[PbwAv@_eComVyn`gqFV_U?bBvpj^pwFeOaeC_\\NFiei_Ky_=_\\hQqAquKHvQhZ:n``yf^gnuGlw?h<XsoPgFgmOy[ninBpi>Y[T^ksa]]ph?FcSarIxavI]l`]xPeJwhtwuD?cPnhHy`Sy[yXeRwh=Gi_RIcVO;GniSnQSKysRIRFMbfCBRWUj_E:agQ?pgPVqxvn`MNHJVQVhumh]xymmtqO\\<mhDRYTURhKT@O@iURlywyOeAnHUrjQMmiLDqYBAJheOElP`AtDeQ>UoSYxIhsJejdmJK=TXtR_QVv@jnXoAdx\\apP@j^TsRexp\\p:TqAPjdTnV=QqLxqERDtVKewR@mIUyb]v=AXtuyelqyQU@xQSMjxekb=uhIn^hJKMSs=jIhMbUY`HomyVqUJVEM;EU:XUNpKYaMnhWRyp:\\VyIr]=VUqK:DLl`xDpsgmxU`vLxTqTYfUuXYLJHsBtjw@J`APqiubDXf=u:\\joiP`aQepOPxP;`NHIk_qSXXKQ`QK\\VfyxbXmTyl?=W;ew>Xm>@R_ASLpkm]OcMQbQTqXY;YWjdqLMtAhTqIT;yLZtOpLqVmMfLw:PkC`QGllqukviuqIsLmLMHtXpw?dWDEKaiXKHmoTV^<r=mQYXmZqSWpMryQcHT\\Tt`hrtvlA`guWcT`k`vZqys\\h\\]vxX`f?VlD?fOitcxi\\Wqi>qInktg`C>dphs@f_dn^<VohNhX@\\_O]wynaVbs@iYqoGWgNNhA?gq_ety\\m`]JG`LVnTAw?NqvhmdqfCW[dorPiu;PuONk_NmuyxUA^IouAGkLoxrQdoimBplMqaoNxkNxC>^BneD`vU`x^`rFxxe^wLOsGNjqvcgpb<PfayxGonu`nFwkLpbg?]OfiuY`mqmlpaPnwNWlTImBfvYXm[^hsFnhg_AG\\iQ_]hniFdvobl^l?fhmG[d`chQlOggngrY_kb_hjAiF@_iYxJOow_fuxxo?xJIhRwt_G^;gwQIm_AkwqlfVueXw=?okxiBFrbg`>NfYi`Zgt?WtwXlvngCWtCavjOpZhxoAw^WqE@kHIaQ>aRL<ANaINZ<poljeMuD=lAYL[prolr;aY;ux]An>@txaWJXphdTlDYd]pU]TFhRb@YQAtR`Tb<JJ\\qCLooTWNxoGlx><TQ\\Pfqt]=yjpSOeqiQYo@MNAOMXoKUqWUn>]N=uX=eU`esBDK:DY\\dRdmPlaTs<Q@lVDekB=jlYyllSGUWNLJb<pixwtyvTyJAaUg<mUPTg\\jEprEem]EQgYTmtM]tmuQrFtlIQuqXO]PVBPbIYq_PhGWsKWkTXjap`Xxln@mGAgp?vofgiPw;Ip:_qYHhM>^JXuMVaLHvogi]v^PaiVAurg[oiiMQhtA\\V@[XOKorMSbtGDOpTSDwvDlDdUNTWiLuNPXiYmHiV=ap;EN[aykXmqqVGLK;\\J;iS;XJQqqaHUJAoWEnN=s=MJ>Lx?qsGLw``tHyVb@ufUTmtM[@Ugqw`Au:PXX=L>tM_MMGMo^YMATPopOuIQD\\rH\\uB=UUhP]tN@QqhprltQh]QI=oPDxLxwJikDlrXNltH]IIlUHsENwaaq>>ypogr`cbp\\L>sWFoggu^n]OOZ^>Z^qcoxx@^heHw[osWvwx?wV?i:IrVVfa`st`lIFiBi]BAdkPd[`i\\^b;@cXPuQQsAqy_foU>gUHopxpfxwXPZXNkggbhX[dwnvVoZY_PWaJA`t`n[wp^pgDiqTXwgAb:Q`ghjPWjFhuKNofoeFwlwOsuqdCf]<gr=Yd>_sTG]Dg`HfaoXeww][NpaqoVyfUyZA_au>mUOt^Xu\\pbxNbXhh\\H[q?_Agp`Wk@vtfxrEI_oW]eqjqx^?wrh_sMFtmvxgF\\GO]NPsnpiufkthxGgZVfiWv[`qdIGmwVwsGrHVmoVf^qhiIqMYyTNwuqeENmnX_NH[s?cJ^qNxwYoysqf^gaaou?x`[qfGA]shqsY\\w@`P^tD?qCYmu^i]IfihvdwmCFj\\fqNadDXpKiuM^h;PZapgv__u`lSwn[wx`opaa`Wp`]_v@>cjqnbh`w^xsIZOO\\sNaXxd`Gbg`j:ow=wqu^bqYhGpatOdspcPi^Vfmtpjkx^R`db>^r?wZatA``_pgxNbXvpIP\\sQ]oVmeHoNOZcpr]`nGwhqNsWIkwGrVQqwXvuVhDWl=wv<qZHnvRVaMQfpFnKAg>Wte`su_xp__`X\\TpwW@abGcmHwkHixpoWApUOtfO`_hquxisVat_ePXn@fvew^`QZVhpbFvSyia`wExw=piX`qhw]OvmwafhYhS?t^XuwVwcyrMxxgQnIglvinmAqwqtgFgN_[Jxw>aeZW_MOg>_aIxvGOnQ?dYycRhkTatw@qQ_rNPgKv__PuihnynwTQn?G[iIpa@oQYpVh[bhuyVf=Wkcfc`Xye?t\\OauNdqpfNq_`y[ANiqonoN[sO^AoqmQltH]iFiIft]ivegmYOlwhgeXwaxv:YtnXiEH_GPyWOwpwZnFaRqwR_]cqfs`n?ahl_vmXuEq]wv\\PAaRXfFhqJxsMApuffsFgKGppXh[^efnxX?]QfyVfjLvbhq\\Y_wo_WyHaEI\\oRkGhM[Gh;Wkqt`?CsOh?uIAEfRewvICfwVgKS?OHake\\_U\\ihPyx_cCdCDD_Di[YdmxLqdMKW>QRNWiXIBrQbP[tigDcghMEyPschMCFAgS?CJMwB]rq_E^IGNKYswFO_cWkH[oRfQC]uTi_vVYX;WhSMH@qU@WhT_IZasvyviSrLIfNorBkBW=HAWRFsb==E@ocLeXImxE=B\\]T?uFu[bLMIPOTuQBiGVY[yPAI`[tfeDp=uIsVvOI`WR]wBg?T?Gx_WspIuSAw^eVr_fbKCOaG\\gBAcVg?bmwV;=dLAtn?ODeMQ\\s]pYRYWdxwHHj<xU>@MP=TOMnBqKm@tdHvElNniY[TvtLr\\@KyMq>PRlDKwlo[pYpaxBtoOhk[EOEdsOdjfuoIIc=fao@Zg_qw`mKOdJYcdAtH^swVvRP]lhdQNowP_<yevAfkxuYvaNpcONdWGj`oiSYwRibaQraIkgF]]wqaVscAjTilRFi:NhAOkNqwYFsdaxLofWOsrwxGHaLnxpg_UQybwyrOtGXhvPkw?xUX`_pf<Ypq__SXaoapCWmYqpOw\\V>bZvcbvcWy^x>\\UocUadCy`Yh`@FwoitqI\\Ovt]Gg=FmPYtm`oXWu^pb[FZ>vpIPdGHti?nHq_c_dE`uIOyxhxlqvc?pk`uZHd^prk`v:Wtpf\\efghQaGqqvhv>PE?YtWsjYSs?xV=yD?kEeRO`kklrRTYCmKfUMvDplqUp\\WA]reXuolkGTuo]Vl`W@AMu@JATXFHP@AM]Wffi[\\I`m_kkZFdwGRV[skkrRSN]sU[r;aE]J@oX:TFY=ZFdw:nRx@:SNu;bkvG:lbp=J]sU:^KgAZ@mq:B]TI:G`i;J@oX:TFY=ZFdw:nRx@:SNu;bkvgJy]x`h;neTXfGFfFif>YrLYsg_fx^jXYpK^cAuWuVOOCmIh;SSFWFfsIvWWIWIbAUlKdCAF>yDdKwMGIH[Wr?FXgxwqTXmvuAIjob@[SuUxwCC;AYJscH?hgMrRKUjmHXQXCIV>eyioWiqy@awiwuIMUMaYBSrjCVSAbbCyKkcAGFY=TACE]]ckhyPhUjaVHIjcxlZ`rwAXwexOlqtQwe\\Y_QL[Dsl\\vGxl^LqPyYQDlgiqVErIXpk\\tD<S@dRvyXyMyPDUGaY;iWs<wbDTvivylq=MqxMVulkCdqNpRRMLkyWYaNKeMimjSlJDExiIxYtuAITTlqZEXY@Vhxn[Tk\\Lj;ANLxViYsQXyxlpcXnN`yHtuwuXqQy@NcInxXhfWHq;fdCOvuxwLUtGCUIum?Duoc]gxuQTP[xf]DCQg?CHRkRJiVZ_exqDyMd]At`yTeCH]][]s@uLZ`qQ\\J:`QsHrXiNPXtpdVvmWDepitUuiPGQmKhXsTyiLqWHWeTR[@RFPO=hvSTSiDoWPXM<NJMnwHqvQjtHyBdJ\\DYdqOXMo^xSkLn\\xK>tS@PympN?]uxLOHpssauEqYYhRytRx\\odIvdiv`@U]MpqEu_ojvnmVfwihofQqHftiYsPItIIiCimbGt`gtShpL_voajbppyA`mnrRVfFhyhaa[_sV`ZsguYhso?nuXlEoc\\PeBVZrQpIHb^Fd<@xSnp]vno^[AiaNPraaxyQh;OlpihmY\\KvoU>]Ufh>yeOw_:wZHXZ:n_:_[]n_yQ[gpuuVvBqqfyxKVnS_bwVmiauZii[Fk<HxrIyVXcpYbL`bjwwvxs[Adwqq:ae=GeuA[y_athtwvdDWwjpv=_\\vysUga]_kkBpYUkabZmsomT]?UDQgboRy?XmIeUuwQ=vA=Ib;BY_SRohFsiY=raoUAsg\\wFbWG:?U<yxJ;hYqyDwQaHnSUYPdyFhr\\us]aKu=MXQKJtOS<nCAM]][fyhbiZL>nr>`GH`^@whOn<vZmIxJVbMQj]QlZvZ]@[Y>s^?vFyrjF\\>?dl?fTf]FhmZNvkwySFcnndCx\\@p\\ZfZ=eAuEYCujor]]cGUE\\wIB?VJmIroYamW\\]IXSrl]r=ivpgSFsvLKruQde=Im=e=IF@qhB?Vn[YnYERqtJkde[cZqTpsCAktj]Ca;E@wu?hS=ljcARtLpIDVU=MHtT_mxATjBLsIeYTMN\\DUBUrmqSAunaUndTs:ynk\\ss<LwTNa`sOqqIgfeXoBOu[_yjYxGQwgxciIn^Vcjy[e@aeIbcIwi?ZEami_aC`h;OxEAhGydCGapVs\\Fy_>kRgtQXqyHklx]LqbsndoGs>hZCFrZ?\\xGwlPbXhdQFv:Q]IF`pvvj_eL^y[A`<XipXfUWbR@[]^_ipssHvJQj]vjKf[Dwl?vqQ^tiYvaimGVsn@fTn^hGhEvrlFfTx[yghVV]Hhg=q\\=AkAvhdYpgOrj`b>WjL>vR?]UVfRo_SFvbqm>AaaVs;A]]_kknxp^eyOg<vfBPiOAjoHyPHo]V]FN^gHm:@_;I`o>_;G\\lOpHHvwWjrok[pe?o`dyjnyg[_lFV\\tOuIxoyayQ^y_YqbNc@IxGQu@G[KwiRfZ=qjEivZ_eGW^Sg]\\qhYQp=g\\San<Pii_[e_o]@\\wY\\^viTNmsX\\wIa`Na?@a\\Qk@Hp]NbVXgBwyCOjyfo[gpbhkkT[_rwADyive]fOiu^AFpkroaFvIR?Ke_Qb^QhZoVM?GoqXtOBTqFtcx<Kd;ECLye\\AgHwwpwIxwSbCxawWO[X@YRNYvl[yKaFLyuyubieyx]VuSiSAFV;eTMExAWCSRAiBQaU=mtyyGjES;]R]IS^Wtc]tGWTW_Fg]CeIW>cFQ[rbOcs]hHcG]Crbot[ES\\;BESVeAuAygsiYH=XsIfn]X^aiIsWWqYrYELGuHkgOwF]mg_EDxQye]YwiXLcxuOI\\asKYG>ExoytYUveAYSkrvUVYOIP[hf=XuCGEPRa`l@MqfHVbMmjLwc]JyiS@=q^]wG]ulAsCQqrpUf]o\\DwILnZ=QJXjx=k`eLkEQrHpYuwLXJC=lxaxgLs@HkXEODtqylk^Myu]YqikF@X;AQmXjnImoYyhEwMuvWXV<ATO=W@QofpTIejdPoJUwo]tehVbDxblqwYxq=TplMwpsGPywIyQtoHDVp]L>dvZVtYuxysYArYkg]uHISsSyvySVFGH@xthQx[mXmLW>ptC<T\\eLdupUyKipT=PkCtOClq\\duaAsRhpbDv;DyDXNTaSA@pV\\vCyJJ@LbLtbES>]pZHun]RG@k:?lqNl]PuZOcMphXPfK`[opnAXcn`]O?_Z>icVpOHg]GbWakaIh<^lCgk<oqNfpqn\\W_pM_v@B<cDt=sg?H_oVFYRx_UyUFCSrfeUxCb\\csSCDgCWpSeLuHaYUOGIyge\\UVTAcJWuWSf`aWeYcMmuAgw>CDEiBGuf=KG@kTC_ILeuGihF=gloYYYEEYTeMhtas\\eiyAhswgiyxeWYeCy>ahKCF;;Fq]g@UbKAc`wRMKdf;gYUsMmIOlW:@LdFwtwinPdxNxsgauOsrXvDxuaAp;fvvH\\d_oqiwlOd]@kuW`[Nk:GnDQqHicd^\\D^mupuwobeYfP>nDah]iwcgk<OZBVeoqjB@g;go>xklwxCFhP^tGAyb^dSaedqgy>ibftxfl[nvVPqrpeaielPmGPpQfiZ>iqvqyQ_;A[:NhuQ\\N_wHwduIgPqnNxZ>F^>gkGyws?oNwvPyg\\X[HYa\\HdkghxfrTXuuivhFnKxgaVZIQnW@eOidI?jlfp;fshyxSXm:v`_NeUVws@nV^kknRrf?VH=x?AGMGsv[iLEHDCY>gc@CyLOySsC;SyTsbEKW_ktGGtGwIHOxeoR`=flmWmOWtOWNqwc=cgSuCKDpObsgBoWDhMx^MiUEb_cGUadJktGgxoQSPcg>Ci??spURO?cPWbDcr<EHdgW^mgVmh\\]FfqBmUcpcFVYymkYHKXXgiSqytGEqqeZyV;egR;CjQtp]grKUaeDGGt`UeqwemagPgufuwhKeNSD:=x`ySA[HmGBGkf>UsoUBqUi[aiZoW`eYvMx=KIOKbVUvuaEpgEFIDKcGtGElqW_=inQT`WIuORjsRncg?kxNYsScH]KB;kITQYuEt\\_RbUfxkSD_vMKRNUehugmMhHKU>_RUoc_iYvsihkcbODJ;SB[TpkieQyveD\\]tTAuBahP<Jb\\pM=oOIPMlkATw>uLPywmysuLn=IrVEwy@Ui=J:>ZC_b;_d?W_px`RXnKoio_u]gsgPas@inoeXodHnrRVfFHpQqwSWf`anrG]Tgia_kFae=_aswtWAhBfqqI[jwr[VsuxmPF\\Iob[^quwkYhxXnvDPpTVu\\Qh;>\\ZfaxArxodANuIypjwf<@uGOhaQuGwpcA]JikU>aLG]CAiwWxI>h<I\\>?v<Qg\\N`AfagxjUFqjX`PY[jgjE?wGVcaVk_wxN_xh_Z>WnuOdii]BWZt?iVPljxf;v\\^F\\:yru`gMXoiIfIig:n_RYmw_[?A^<P`jqupocqwmMPrBVr;Hdp>h=v_lHsZqvDpdUajIFxnIwC@rYxywo_]nrO_hdo^<yiwifWiqpY^xIlHW^bhmTvroOmVpdJF_wAjYh`GVvLg\\ehq\\Arpxg;^yDfdWVnNwewXgcQ_faopweYfsHw[ypuHIn_WvbigxwfAOb^N^;Nn=Ha:FiiqlgY[dQfJfnkXjLqragsXpjHhZZqt;hg=vZ@>lWY\\?G\\:a]HXvZAuK^qbpiYhiXiai?l]@pmIiKipdHnHie?PyFgvZ_kknRqIQWwa;RKOvJMtReHniWEkva;B<qyPIibyx=Mru]YVWURWv^UImuGa]I>AE:_FXGdx?VhErvGB^cR?ugT[Il?vRSRmqDJseXosXaH@Ai?iU]AymEX[;EGKRruxEKYtGBakEWtyd<Rluj]yk<luwqrbAMY@JImKcior<s;HWGIJ[lkZxyolPreUBlLt<tAHVvuyMyrOYUqtQ]yoSIPVQllaqOUSc=OkQLxmYaXRWll[pjW=XFPOnDOA`lwYNxMtO=MOeLKulCdUMDnnavuykTUVE<L\\@OoQQB?iqHmQxt?wr>wcOGtk`^>WtK_r_?vwynEwpuOnNwlNywmxsuX_Uiu[wed`]FH@HpQLXwaJb<\\S?shxml^oaH`rhm=QuQhk<_eyiuoaxZHskodCq\\fWyF``LVwu^xmWgxOvCfttIwJhf<Qi\\Yd\\Vuk?ZVqmQooeNlOf[oAmAvmngZDcZAr;gfQItmefZotMwv_]wUsXJYyB;Y\\IWfuHsurjkrq?D<IX>uUgMwyCCCeg=OSbUV@GrUWEVaIuei\\KdDMDX[Y>uRo;vZmCwOI>]hVuRscw=kIcAtFsBHAhHcui?Fsuiy]eOYd[WUEkdoadgqUPuDQEc:OdJiv<[ttECcAhvQFIIehKgYyVYpURYWctJ]][FtDmUZ;eUAFtIDnIBe?FZuSmIWWiwIYDFkEbQVpmr`[fOMEoYekAEuGi^sEK_FBMBjUVb=uY?tkmC]WH>WBSkYS;rGuCtqu?cERWVmAW=?TLoTIIEAqrrAsLuG:ivAOfyyyfiuw[W]AUpwGtyY]iE:Oe^QcqqFLIrG[r;kEZeCj=BcMFcMFcltC`rC`rH`rMDkWDmMDSMHOmtNLtNlTQLpNlTQLTOlTy_lTAmV?mT;tJjTKr@jREr?@UK@wuQJKAQI<Ui<lVeVEQynypeptI<LtHVE]v`DqcQvLquueOUtJ?EKjeKbMUElXfHrWLuJ]ngqPK\\K@<yB`NDQXkqXZ<vSAXydNKmtNXYGPnxTm>mMgtnAPUdUxUuXTaW?UjLHJxTQP\\m;HKeltZxLM<sdMMD<q>XVSApGuK?eovUvvhNJplLAJx<rpulqAtr=w<iKPewoujx@MpANQmyHtOYqjcTSqyQJiOfatyxpxxwX@ueEWATFvblwkZogEhhQwe^IndHa:vljWihimN^w;At=y^fIbKQ_qy]w>sQ?dHOZrAfWIcsxiwpd`YsT^_k`kDo]:yvY?neYkcFv]_[Gg]HO^E`Z^^d^a]:xsrynhXfj@tjArKIf?VwAW\\mhllNdRxary_voyeQ]XhjYxgr^tg`bX^[Oqb?IhKYpf^xfV\\gfpv@dmygwvuUNZBYnvWoJWe>vrbI^FipZ?_Ui[EiagYbkaggWvDixoGg?faaHkV@PiI`ehKQbWoBHUcJahw;vLibh?IBqh`YFJQd<cg^;vlie@cui?RU=GjudYwx?wCgeCPQVtYyJIbh]BEmtNoUUqiikRhgCiQCB]uTCwHoVEArpgh_YYqMwYY=_WkAUXMgW[ckkZwFlu_Zmwea`c@WeFwdDQww^`mOZhfmp^kUXnmGlEVrjIleoxZ_uRwlOvbK>jeHyywpZNsbwpl?\\jI[yVsO>]h?jB>bV>qbWmmPamwlXw[wvt=?\\E?dUih^@Zv_ysPjvGe=HumHfqacbilv^dYgbuP`E^dlPm;Pi@>rAymkyvfo]lpf:apF_pNP^^WqFfexQapf\\?G`hpvyiqP@_q@thf^;xsy@bcVwj_yBF`\\_j=V\\@XaunbIqpZAi;ayVnrBxvCyd\\YeIwukNnrQwtyii?kJnbmysWAysAtJGxqvh:VpOQjcOebixt?pgwZHAr=xq_YdwagW^dnWguHjgPbmQxjfwPnpUggnAaAYpL?]:y[w_[vhtwa^K_`Zaxd@qu>bQVfZhvkyjyfyCvqIQ_qOjKhhlPk@PjjgjIIgOfoDix]wiTNpPGj:>^ePgqosIOnLQbe@^:vlyHvaPfKNcEQjgwxZgpN^\\Eq\\ligogwTorgWy\\O^wV[\\q_WWZ`A^:?vI>teG]RhlRX[j^]@>xAXpxqhwfasGveyksapCYoiHZSQ[uhxiiwiYa:vehiy?I_VxtwA_T_wAYxKnyehj]Hk\\@[Qw`xvjWVu;A=SVFdxpxSvEQ_XkxINW\\TqASrQltiQ?e^`f]WpkQyinOhHwboQZ_Plu_pYAgLIfmHbOQbCPwAwvYWdCxci>oy?ea`uogoj`txf]Vf]MIu@hcIakcapsxcSFvegkk`dcAlHWqoNcDF]dftT`twf]GyxofnEXvUVy;>[CiadhhHGwHqo@gid_\\Lw`Lgua@on?taHtooemIw?fmnw[cPmspuHGjTvbwOaypabHsSfhhgmi`^_Q]wOah_fB?cO>ot?h>w^QV\\\\Htcfhuf`DisUy_^QwNIaxVnkah>w^WP]gisyomdf]JItcAkbOhHgu=PtfppP>bSTBeyicxTqCc_dtGeXwEqWuYIIUUe@sYpMII=wZ?d\\_VhoSGYr=MIboDbsTt;fxAW]yFayvgIxHwVCqrcwYJefVMWPucJKRDOXuicocXBsfnmXJWiWUyJ?cHqv_;H:CbdwrUmEQCDGQSd]VbOiRUEhMY<exwOGWsgdSgjCI_WrwasGoiZ;Td_trQTauW]gSwEdB?ch;gUeSwEuxMHQuf]WxCcUVkv`UyOKHNUIxARaiy`cwYuxSaSOOeWYHTStRoSIOwqkgSectsF]gCaOVEqywSI;UUVyX]MIeqEvewyGewMWXssTqXx]YBehwCv@iYpMS]KFT_eoEwZ_dVwx?gIdgXtaXxCeLAw^AddwhXyYWuYhubuyekkrR@uetx=DLKYl@Ukqdr[\\Yy\\RV@S]TmGuQ;apdHypiRCDUC]R\\lkJDR>@qnuRKLJy<R>hsgEk=uMx]l:`NCUOphp[HUK=Jy<kJ@SaElGuN`UNItKBalspXYURELqO@jPQO<DVB@PD@LAYp^\\MK=P:usD<ntUJbUUfLYEPRYDRRTRFuV[dnYQx^YpJTJq\\RxPXu`m<]L@@xTQPVdV:T_AXvEPb>OftqclFmb^[[nnQymRAanIvA@jbFcJpwKImpvx?A]K?\\Z^cB?sxGq`G`<wa:^nfnm\\Q`hqtyxpyxwXpteGgAVfFH`@Auwiai?`AqmP?f[`enHnFvdAVg=Wb?AbcIbQpmohfiXd^QbMaibqpxhfCqZ@A]]_kkbQYvcUhSMhaevSoBxUyVCV_QX=At?uGbSvCWDWkiGCfEodx[bfMXZsrRSVF\\kwhSvLPqiKCdMSDyy`q=yv^qMpiLOdl\\MMcaR<DXN<Vr<MZ=kD\\KEuRKXXv<VPhloDrMYwRTVFH`kx`EXjsxgF?aj@tpVijqj;NrrFjno`E`gp`[Sgd[v\\sggJVfFH@vuDn[`A]]_kkZfi;esVSVFB]TY=@QRXVFHP@oRxPBVhF<SNu;bkvG:lbp=J]sU:^KgAZ@mq:B]TI:G`i;J@oX:TFY=ZFdw:nRx@:SNu;bkvG:lbp=J]sU:^KgAZ@mq:B]TI:G`i;J@oX:TFY=SubkCv[CvsE[]Y]yb;ABhwEi_yFSVFB]]wceyEYSq;bwoWKWg\\sGyYDYog:;F?ORGub`ScjaSUCuXABOwdh=F]]ckRYIGXCe]UWrAwS=bS\\SAyVrlWPDLumJneu<=oT@tlxOWqQ@AM][ypiZN^tGw@?`@erkRF;FK?Sv_XE=EUISVsr:KDZqgEAE]]wsGxBaEUqSVSF\\iFluciKcJcinUEXeb:kVsyXriUxgc[YSqcbgeFH?iaQB:]wd?dxud@OvjIyZ]ckkxvAIRWVUcbpOBC]DKwsaIFqayQoWHqt@obFcWEyBf?um;FeqwmoBPEbe=Rm[iQGC`qBTKty[y:_Rt?C?Ut[Wwt[SqPLgDmkiWRuw;Pj`HNyXvAUr;HKWut[HWlLx\\yKrIvADLdXy^dovmN;LYDPkX=pWYqwUS@PWytvoXKk<Po\\pVALiDxwqsjhl?MvAx]FYsJa`WNqXQjM^q:Wb:>ZK^eEIraalFfcPvHSE=Yh`uxXofNCdH]y:wELcDRaEMKH@AEUIBa;R[UEFCVpwY;yFkocMIRScwf_cPmuAGheYDqYCBqD?=itgBYmW[eylqiBkSUaRf?yRixk]wxMVrqd<csQIvRgvaMuaiup;B:mTiIrheivQvAusl?xK=G[WgBUIymHWmt[mdauyiYSs]y[yW;Yc>CEIwR<mUlAFUoENShBghmsx\\uD@GD\\sIBuIMUu<;uDOCQEhKYdYWWYwXWEF=csl=VPsUfGCmCf=Ssw_R@etJmusMc_MB?es>awJKRNSsyQcyAyGsWvwwlkrRSYh]Ilsrp;cKsr:;d:[r\\KGLyRnaSqiSv;X^KsT[vBQbs;uJQUywB]=UvwrqSwqYDsKE^qUSktEgBluUwOcoIWkABPgyCCsDobAorAKfrQCHwvK[vOeD\\us:qf;gvJqH[ASdkwKSBYYRFsSQGV^gCRuGR;swExDkGo=VU=EVew;Etp[BWYEC?SBOr]chDGH@Auqab=GIpGRPcrv?Bvmx[yRLKhSEBYgUAkuEuHeUG?=gDMBpGV]ex^[hRkecMFf?OsmkBQOnHndUJNhKgUrbEvqYNleOrtmM@obMxExJqxo@mT;ploEVfhmPaw]xVt=OdMKXXNnPk@LQNTU<UqwAt:ivUEv=qwwxrOmS=px@lVd<P@AMuqPkaPEmp;@KSuTJPYaUrkUNRLl>\\YXLrIDjlYOrQXxUlvPo<MsqHnbpMlXsX@R]AL=tJJhmlYPv<n@AxTiOvXSBAQYiYHmtqLO>XVs<qFEoJAyV`uZDRPQsJYUd\\l[mMEqJVTvb=Kq<o:QYPxW[\\YRMYIDT?IYXxOwlu<ts<hx;=RcAS;`xLiW[]kklxWQvKHQp`R>tsN=lIuNZllg\\j_ULwPYTTJ=aRJpL;\\JRlJidu@iO_eLbEyJtqG\\YZDl:MvPYKB\\qq=yRpThuJLDpIttl<nCiV^UtS=Op=xoyXKxJ=ms<]LMAlqhsJEx_Yph\\KuY\\Eilgqb_QbANeKObt@gZ?ieonb_j;Hn:ol_?gIOlJp^<Atk@tLgfNf^CFiGiqkNpSNrOYsJ`bKNldaavFiE?v:Q]VGfigvTXnrYskpusGwHQmKvtQA^>hoDApvYyGOcHWsdN_kYirpiv@tiW\\B_^\\^[Wxx:`oXQ[hPbIqjcXob`v_>c?q\\@veh>dFvuPAdFWkJVptqs]VwkAr>Hy;>_PopSflEH`nff^WtL^l?arfFjGfcPH^enrGppwNnaPqqwwhA[=Vs@y^[`[GGeoioPA\\PPp^xuDQ`nVyOx^LPkW?glW[XYeRxcIA]]wuuNffqlCfmpo[bAnP?n^>bbBTCDKCtBoceUYnwdCEDJ_fTIswuhykf]qrxcdDefgwUuicxccY;X>UvhqICCsdcEImDxEHwCftMCNWIv?UviBGmF]MEWoELqYD[B[?RWGDKCt?cXpYCNeWn;gPegMuvfMiMUI`wFoKS<[TRgWfUbCcxeiFdgHd_ha[VbGXpixqsDAUyN_BB=soCWAqFveXTufNQsp_ScMHS?trQfIuB?_F;CSdoEIGcbMSaesLcDdeCd]td_tbqGXwhWiUVkvB;sKieE=Xg]u_gY;[B:_B;=ew?B<MXYocP_Y`]YN=YZuyv]V]qIOQCOMIt?iIibTOTyod^CvEiIrUrsUdpAXuwUJCDGuFMKeFwscAixwR<;RcOyCcSC?WlMtZORcoSGOYGOgASiYySauBSKBl[Xjmi?YeikCcuYyoSoQTD_bLudx_upUdMMWfIC>[f`iycqYHYeuUWTQxnsxhiEMoIOQdZ_VgwSeohneYywufYi:;Sb[ELIyWwCGEwrOGJ;hIeu?yiMuG^MXTAf<qy[cewOdpAH@AEUmcaGUlWu<uECCu>GFc;wwQxXSY_QxvMCK_B?qxZKgs]yuyIySrqeI>ed\\iyPAI?Ixv?shqxiyYB_hfOf\\Wgjcw:Kc`cYsIY^AUjMf<KuDQvrCU<KfRobRmW;qHw;Syki=GWt=GEmBvct;WhlYerygGiUPwT>yEFCXCCBcaxPSxMUf;KRSqbgsfk;b>SHVgD_kc@KE^eyQ]U`OWbYi@Kh;ABHwYw[rK?bN]gZsYwGyr;bq;E\\[ea;hKOsO[vqOiZEcSMFKCT@GWU;xlwI[ie[UVbcbbuRg=ipQy>iGk]EiEeReVBSstAB[_X>cX?AT_=vtAgrsDjWsSIyNUr:cISerJuh[gi?gRAGWSciX=CSmgZ;hf=EucsGmSFqtKkySQbo[ti]VJgck;Hu=yrwf<qUBqvR?D?]FJwbLYhk[xxAcyWu`[wP;vSMFfst:mYOiVCOR>?S]cinQr@?Etue:[DJgu\\Gy=uGGSrcEFYCUBKGxKR:KFv=UD_cYwI<cb=\\W?]Rj<Xj\\yLiXMAOPMkYutxij==qXaQeDW<MRkPlYQXW=vwuwWAM[=M=o\\qPMuRhgBaQH?cTe_gruYBsXRwRiamDmQwTYI=w:eTV<spUWoiXreR>Qp?tNN=ThTWj\\MMLpnqJTdsRTVYINHlvRiWcQND@kk<WI<XC`KNEy`QsxEXxApqxjDPlyxVlPkn\\lXAJDYVnhh>G]dg^;xqRp\\vgsRxck_[ZWmhNv\\hppV\\Z@_eAlMwwjysXPZoPf:ipQaaFn[t?gq`[rQoAHjpwxwGdrVmlolRur?GDAt^IuyqVmIuSmiluu<OFyacI?GZAtgIRHus<sFYQW=YgR;W_YRReGMKe_wsXkDMCC^;D<qtUAcoUE`iYXgr^cBteRAyciaCBQiFSsWeEBir;WCegt<GDq?DrKs@yb\\AYZErxaFZ_WfoSZIFDiWbyUHyT>sTMEvdcIRivAAUrgD;Yhu=xpoeeGyy=xyoymyy?yyvtyMtqUiVqDvJDVrYMxqyaaQ@dK=ll[pWS\\TIQPlPOSxY\\xVG<tppveQQ]tJ`XxSDqPPaGoqv^`w@ZmynYGtd`rJg]qGg:F\\An[ngb?ysiy_;>[BawqHteipPnt=qjBN^:>\\QpiCGhawsdPauymno\\SG`:_kBVZGojxYw_N`opaVpdXF[>YpxHupH^oXub`rH^xP_kXH`ynr>OZC@u?WcqIdcIebvgmOpP^gqww@?xFg\\dWwWnaXGZBovJwpf?eDohGwyG>fUWZVgfnh`eaaM>_eg_BxtQIapAtLg_^i_aIrSVeaWumIvRo_<hgYyaG>xYxyuyiZyuxywyqp]qg<_bYni;yelq]dqj?VbenaEOpWnrRVfu>icIn;oxTfmKIb@^jNWjhws\\QmIgZLnlFGevgv`xnoOc[VbGXtsay`Xk=Ou=@bOi_H^vfHl[>^CgxMhtMWp`v\\a`hTyaZ`]:gj]hvM?stid[oqWhuTqacqdcpuwFmIGdEAdgxiuWy]qwxfnlwZnOa[NmXx]LgqsoheOwQIcwPiqOwPQucolEVyiys`Xk_o[HqdyHgvocaxnWOoa?b<gxrgvNYpipfM?[K`oKwieH]iWdtvwfYtxIvsQugwwpfslQjHVhmHgjWeypy_wrqyusgnb@tvfnWogYXx`q][Fe_py^QyRVc^^iSparpx^?dC?qsfdtGrnakThttf]YxkcO`x@nMYndff:NcPwkQNuqobG`\\B>uYIxxxa]pfoAltYxcGrCi^MY[uipNfwOykc_c>Wn]PaW^mFogwoyZPiBWkmHgQycm`ebGr@Xiq_tgHdoAxNp_@Y\\TfmYwcenu]pvthgY_]Lo[EqnawolNnhgp>gkMihavgAIgPXlhflp_wuwylAnxW[<O`AgkxYb`^qmnrRViD^m:fjWi`n?vxOZLg\\_GvUxy[nZ=Y_BfrDnwy>`LV^nyjRn[q?isy[IaljV][Ay>VulG\\[njaOerAmNHnh_ogv\\IYgdie<ipAV_eYwCHulNslG]Si`_Pn`g`JQvWyfGp^:vp_@vaykC^\\tnsLPfGI[N_pvNigV]Koq?pl^Gn_qBiCv;T<;rasr@AXOYELIYNWslKsLqdU[cV;UHiFLMh@OsPcsEcWOKyJURigdy]rfWfS]h@_B\\gEXuyoWvuIc:UtM]HL=Rlst:Ix?=BIAugoiZmUOEdu_X[MI[;BYcIeyHZ?ggmggsXWysXYujMb_siX;YBuhg;GsaH>aXPcVGqRioe<ivZEhnAS\\mI<aDiAUYMH;?IjCfxaxekGmcXRqslGw?gRbeVIcGEyb^GEbKItki`aGC]IjoC\\qfuuH:AFNGVoOsBqf?=SsEE`gu@EBYCvHKbuswxoHfixjIRb;RuWHwSYS?C=cS?WFqAVwKsbMxV?g\\=h]uIvygWUygCD`wvG]vZ;Vi@KaIrjiXNyL^]kklXEtJm]wH@Vj<rA]NKmlQLPQIYp\\uIESNxMNutd<RIEy]lyryrWlUDuWuIw>UOODndTYr`Xf<QxXKMqynhTZDLueWRHKWdkF<xSIw[UTwIxo]nv`JZQK[]pE=XTDrmujraysQLSPqGtTYELFASD\\SsmxJ]mOaKNdmPlLMDKXYS^QnOYs]hTEEJY`MnqMcFrJqpj>qDAbKq`Q`jB`qP^lXG\\Ph^yHrcneknj`W]XGyRVbIQjl`pxnr@Fe?Ne;>yGaw[?aj@fw?mOavUwihNbnQe=>sgiiB>iIpuL@ghFdPGnWQkhP\\JPxL^ZkfqJ^gD?sDOZ:@[[q_wOsY>fbyi@ifl`jHXg[Pp\\Hr\\`g:WkTA`vF\\DHn:YgU?iF`eIXmiiun^fwGviGmNhbpF_:_\\Q_ZXGx:ndiY^>Pp@FeTAu<>y`Pjp@gZxnh_imY_N>rhWqBwhv^[gggeIo;akknrXx\\AVhfq[YY]<>s]`evHyZx\\;I`t?[mg_RNs=oyOwlZ@ea>asFu[ixBw[kIiOgBOyOcW_gBaQXE?R\\kxJqH\\]hFcETOhA[Ut?hVGUZkDsYrWWBFEgRmR@;RbyWuIsRki_SRsyva[FEeEroT_esBoS<KV_qv=EhFsgoAtAOvBkWEQb^DRMQOBEvM\\WemQ<ILGDPvxXj@QUdeOXtZh\\qfqOQjdxbbGutQxtFji`ebWoJiiWnog@vxIy]nfovv>x[`^\\gxjIGsD^pGV^DIbIwjUG`ZXgdN_C?v=hfGybOWjiX^WIk?afYF`vIf:`pv@a\\v_\\@eHQZB>viWiGY^QNmvydvqhOHbWqhZxow@iC^\\UggBpdEn_d>`n@[@HvgAaD>qZWouw`kwpxweZYrAG\\dQk\\OikAr<hysF[sWfjf[>pkDftMGtmnwS@_dibGytaPsHQwi>lRVfFhqD^m:jRhYedMWQmH<MRQOntOITXJQUM`X[UMm`kEPt=ppkuSSeJTEnGxmXyY>lxT@TQhJLDnETn_QRNXkB\\OE<Wu@O`<JbPOluYyYMXipN=mkEM;]T>HpemP?Qn<DQmyKRUr[LNfmSZTLsPMdtQwqjE]NKuWgULFasXLkAPWElocMrJaKbmjADYapR@<XnqPv`qF`wJajWhpZaV;`RPUjVHyalYphPberPLpx]KSAqauSRlxJYy:\\LtLstQYuElEdplYLXiY<\\u\\]Ka=tUEQtXxtdjRlrDLYwxjyEMkTsBQy]luw]JLek_ePsQVFTYt\\oj`kD@w<aMN=tmhN:LNNQSLtwxEpZHwS=WCtMCdsRmYItRH\\Oi`KMYqUUShTob@Oviwi@MHTJf]mEUMuAP_eJytY><TJItXQoDAYPLmK]j`XuBqxT=WsMOTmw`aNttpvLrwXQn`WZhV;eUtEr\\HY;XY_eVjxXglxT=obtqZYrOXjl]M]=vbxWe@pr]P>=Up@tUAQQxlklrRYkuMk?@YfikUtmJIR[dbsPaov[IFwZDbsTt;fxXJeUPwPJ]qwxDKeQlQ\\mW<T`mmbPVyqT[TpCdxeEO<<RchyHQltDT>]RwMoCToM<nVuwyDmfpWFMykdQiAT[DK<@l]PRhdppDnAAqUeqW`T_]YFektIPG@kbQnMUnVquHDKJmvoxx:DjldxUixBqRWIYwUqFekHxLxlPmDnhEWMMJNHOWpPl\\J[umtXWmEOV=TqHtZpVaAlTTySHUGapTuYX@m]]SahuhdmfDwIxohpsVYnSPtCeOsTSvI`XNmkf]iy^C>Z_vvCAhx@ay^n<@Z<@pAgkMhdafi<w^AfddoofxqpVwyQbcAg=gktH`oYwSHuwOdb>d`gdlilspigqhYamV`]JgqmGb>W^dqtE^pQOu[FZDYjhie\\NqrNnTayxHex?gm`jlVgMFZKF\\GXyNagnFom?IeXimTaGhn]HYQw^aeHwctaXq_wZYweWHAAE]]wg=vZmcg_HSsUJIysIIGoriuIBWu?aVnER]GslWVXOtr]HSUDb_WHkvBoRn]TDEtxQiBmVVyfTmBmasOWFtkg`CgtoFtYiM[sKCt^aXpATvcfKcEgywRgslMH\\WcKQxaKsCAWvoFMSvPCrVax^mTfEiTyu[Sf]aGMgVDCGdgeFmi^UDFmtIuwvWxUiC`qhjcEMAw\\]inauIuF]KUqUEY]XI;gsOHJYeUsEMeHoof:YIGEwvAh:MromvDYh`cvluX=GhUoD=GiSqHdUhZOXVyfTqYauffmdqqiquFa_Xr=tWMD^eYoKw^qVSoGqgS\\ES>]Hw?fheG=MRlmx_irrAg>=b:et]irWCXjsrRVy[i`m_g_F`WhbxvmA`lxqqP_cBPdPNtLQejG[^hngQkDvo`FbmhsSQyZhfs?d\\I^FFe;y_YPlbfhV_x^G\\k_\\]N[awgHVjZWoo`b\\Gu:p]qHtpabNvpHG`sgy[G[SGgsa`lFdT_cHHpU@sk@vXonZVgeqtyi_D?^iXqjQyDNrP`[ox`>_mVYj\\`uW`_rAplQxi_e\\f[cVmXOuyV\\\\`jOwpk?wR>hLi_Rv``Ap@IdnwxVonO^xfQ^VpdIVsPps?pkDFyiwwkghWHqLF\\\\@`Rhqqn[`ipdq`X^Zliop^^ehZQFiNxhVPsvwouw`XNrl^iN_[oqrNovBvpma\\GQ[VYnZhwP_oxFl?Pgu?hU?jcV_jfqRFsF`[_gfwOa@A=SuGsBm]KfDxv<mRaTu=Ng@nQYO]xnS@MXQYe=KUeoZyWiyoJHoUAXnaOLTxAMw[AVB@OnHVtHxWyJLAQ@]YaumC\\vUmJ^TooUNOYyWmyZ=jZuvTEKe`WDeUYLrk`UVmVN<WUat]<UZDs`lJ=uL@pVZ=LtApPttgdr[\\ygYO:XP:DneXRmUtbLk;\\QIYjaiKj<XF]pfAVc=v]llg<QdxJghP:isRuvtekRyn?`sOHX^IVbyRjao_eVgLvSuksXtcMpJgfrf_EnyDq[ONfr>xKfanXw@qafft:_dFQ^XNimDF[UnaX=SbUuraErxAGZ_fcsxRUyPoRsgv\\=Ij?fogE>CbGcV[eSX]EGCvsyTICyy[BbaG:;BB`N\\@Nd\\NFHP@qqQuOw\\PBAuq@VtLQ]py[qQ_@JDmlT`tydqRAQG@XtLwMIv;ul`Up?qnnmtFis`@oOpkheSgTQg]sPYyBDoddMYQmCtP[Xp]PQOPP<DKuUyNAQTMTJUYVynTmVCatgHTYpKIlKbAv@YomMy:Pj:YlELQwlQRhomYSOEomMX@uX`MWHPQN=JbuWgeR`YYfQynAwPIXV\\MnDoyXsN=qiat^aoCEQ[EU;@woUTctV@ynWLQbasEXtIpkcPm<DZbHhm@wqihKQh;?nVQb[ViTpeJwpkxcuOj:GmLgmtVcDNgIocU^pQ?qufcm_iTIerpuA`tYfuaa[F@oUgcgf_JhmfhmVAgialHOwcNblPq]Gtnic``hXigXqaPpfqgxTpa@A]]S\\yB\\KfQOC^CE]ut\\]b;=cR;bRodhufFuCA;htUR^gVGKxwKxmyr;=bBMdX]i@Uujgd?yEyqG\\WHlAfEuGVAEpAY\\GyNKs>?CccYm]hnkbiUejMf\\[Tg_YioyQkB[[RcEyNItaUDSAd_wE[Isa;CteDHUtIA]Qgj=Ha@A]]_kknrRVi=@iGa]]_kkjkfq;_]FI`@]kBpqBk=HAJFRi:F@k@ZRjX;RF\\G:kZw<jR>U:\\;u?ZkBp:>=pE:]Kf;bGKV>IXF?y_We;AE]]wPkC`AmRqO\\@J[]xLikZuoD]L[YUiQL=qTXtqMTObiJiduLlrXElr\\RnHvUlkbUty<MU]W=Hpo=QRXVFVuBhirnjF`oN_be?yLik[whsApNP^Dhroy__Il]Hl:i`ZH]XYs>Vh=f[cy]x?b\\fe>PncAtog]`X]xnyxOv;^oXybBffONknXwAhiRQqHfeQAnPh^^nirIZCPnC@vkYeCAumYk=^xnf[PAho_`PFig?ogv\\evwFi_pHrRQayQxLi[Z_kkxtg^jaWaR^[V^xtwq\\YvOO[?ylhO\\UO^GPndXbVG]OGijfty?fbyaP?uOVrq`\\boqHvrfVbv_ngpwTqZ:>sdiaRiofYtgifZGrxam>`oCyxrnsf^\\Maj<>ZkXjR_yEni[yfPoxg@\\E@tgF\\PPo<agoAnaY\\qou\\Fs`^k>pZGWZfVOcYIgWj^]FI@wWV=b;gw[ksEAg^uwmyc^ME?eR=ETK=F?syWsIxQybiC^uc<]RxOfZsi`yxHoxI[IPAfd]vb=dueVrkuEeBluU_KDIEyjyD;IhV[U`_DbedAkEcMR>YbTOwqAfUkE^ct:oUxEwmoyGKvmYYyCcf[HMmbVET[Cip[vuCtT;dh?ebuCDAdG_H@cgvkwVqBU]W=GhO=YTgF]]wUqDu=HOyEKQX<wBh=G;[F>wrbEtTEfaUf_sD[GiImiekXYEfGcTU;ff=WrMikAhQMFnGVswTBAGTKsiKIZ=D]=Vn?xIwYxacPUuxqh`GW@qIVUT=eRpCvy_U]kuZIyG?Hn]CbcV?cia;eW]iM_h<oX_=COewg?IqEC^YUg[fGeBgsW?Atnqrg=Hp_EASXF\\w?isYLSDHWBuYLIPJdLbXoA@mRYkDHvoXUrulJHnw`WnUxfLJUQriuTu=tnxLX`UVDqj`mBDqLEJCxuf<uitLoaQT@QR<rLYOJ`ry<RpPJ^itD\\nQPWFYUttqKxKQaTKmlLAy]PW=dLOdvQ=PLhlQeTBuqp@tlmTFevPTOJQs[\\OgeXJqqkUMFhO;IrVTVfIW?qQVUs:pNQHlGuV[@u;ytYiRX\\KsTKK]S=myXTt^iRx\\MMeRkdm@yMyQV\\<spHvHPJreQWdrgmMHmqoXXeipZTWhYp`TLCXj;LY`pK_PT>mTDYRyHygHyJARkdm@mUY\\YgUT^QrjxQ[DUh`WqLOQLQJQkLLt?UJqXxU\\RR<MD\\VSmjPYYDxNaAK=ur<HnCAOaYpJ`vXik>\\K[\\MoTkn`N=QUuXw[\\OeYJJ=tZ`or<uJit[TsliuQPVZ=xBxLl\\Xf<QkEMthW<esv=j_EYuxW=Yp[MwdLOsEKLEpoUnwEPvUU=EPgLRFQwRiYEYqBHLteQbQXPDwYyySLqU@jLYQA=wu@P^awWIwqUsp@peumWQr]emYUo_PnLms=Msd@Xi]PZ<wCAlLIUbpxwyjJQvZ=JEUO=MSyIJyquXLNgHur@KA@pUUu?Drk=P:usJInNXxJ`nD\\sUtP^]Qn@n^YtJdr\\\\suquHHulLsSxsj]kOUNUHKNTO?=v=HK]=p\\]XhUvp<MUMjRTVfISGEWlDMMAwnAlpYTZ<K?LwF@[W?dawq:gt@WjdgttfhHqnEyaw`yAYafqyRPo<>_q?ikAtGFtkgdZ>^?gxMyZhGgnObAgkLff>>\\>`\\ON]A_htnqIIjXyxVqcc_aX@t=wcgYvUPtsIfCPcAvnnninigY@dgF[TYgXx_Yygmvb:>_oWx\\qen?oJ`Z[ftZXwYpcIOgN`Zb@`uFtU^cbxeiFdgHd_ha[VbGXpUVmxNua`^:ObhHcyysjaltiyxayoObay`InitNnmXlUvqU`uriucgmLWmTQ`xnndO[>^\\bAwEqha^hLwsJ>Zdf]gpaMYtmpZ_?^Jqiqgtuo_bXl=FZZ>[<F[<@b<@Z<NdNWwiVyFI_OYlZ^vt^p`hrE_kbAoZ>dlph<Wd\\Nqr^sK@ldXtcqkW>itFmJafvocAixwN\\:NcOyfUYmV``b@ddXd]pe]Pw;wiswuUpcY>iy`kcayrHco`eL@ZJOhiPcGqy?fcpvijgjgYyfqfIXhxwvG>nHGcZ>bZPwkytG^kHXoNPZB?opyhvvkMO]WphcAfywkL@Z[Fm]Peaaj@wxtYhsFnCaf>wfAgdDAZ>hq`fmMF\\GxkcpdRyn@WnHgtTI^Wp_X_lcaj@YewiiX@tkqq:?bCpdXqdaicDAZNPgVpuyW]Fh_ZAfHH`pag`vrOOc<^ls>a]XxHgldwrepyoPmLAynAkTfjFQuAhsg`qT@fhOc]Xt]xoIf^<OkDwxHNvhQuhauH?wfXd_ha[oy:nmFIdwAy\\il?fhMNag_vbwoPinEh]Unhp?lSxZNVsXWp]oeX^sKFtbXb?>jJ?qW>gFWyoNsfyhy`anwmqvxhaabpox^lxf]GYjTXt@ojdhySyf`vnGHuo>cOAoynm?vxAXysNopocbawnXcGPiApsy`gx_cay^A_dEanbPusfqwA\\uhcjvbMOacx^C>cLgy^qvIy_bApjxbAvfeqaQP^^VoNyeOFhVx]KWxbak@WlixmsvaVynwqssQkxfhIAfhQvJPh<oveWeAiedF[COog`gRq^aatVYZ;?uapw?I[oNoGY]aYi;av<PyGQ_gifdYa>vbqvayocwYrTf\\LOrQ@^hAx;GbVi[UoxSikXFyvqcHxxC?qmwoGGwfAfiWsiFbB@k@ahp_u^Pwv>y?Oo:gxuqZkwhFGwnHl\\>^CgpMX[tnoOGwbGempnQ^tgxv`wiiHZLnxd`hnoqxamvguhQkq^kI@o>hxqAr@igjBZaWP_ckwV]Kst[vNYIvYP;PUkfpQxs_^kvw[x_v=YiyI[CfhUioA@]Ro`haldIkw>yQ?b^QejN\\Limc_cLgb=`ii`_QXajYiJ_fWvqv_q>^jFNcGp_FppthuNOsgfgmog=pm@V^PIv>BC?X:STMExIwE_]fmoIFgWPAw?kGFuVuIIBuyoyiyYDyYwquy@wIvycWkC>CH<?F<yrYuy=Cy[WB=aH[gThqUqgVlig;kbTQccYSkABtExagtMud^_GlGSZiYZYF:kiFUuD[yBcVWEyLGhlKCaUt>QD\\qDgKD_=WlawyUhsawfOd:wW;EdymrA]Dj=wpqvSUwd;TOSD`Gw\\kER?HoUBTUu=gVNCd:MEsQc@chfQFNUsJoXhQgCGuxwqwLjZ\\JhXL]xRxlj\\pjpQo_@XKXJEIyF`lfHVOMLEAUL=tHYkYmoG=We@t=dMHhp^TUYYJrml?tQeHrxpWeMU@pOeATftJ[`oXiSoqqKmMTpU:HyMyob_rJg]QVcmHrAIZvHf:@tY>v]_^iAqI@[=plFfrvi[Yxo:`fhpj=WoGfiEIoNXeSQpIqglAuaydFqfKpri@[vAZknouQb>HfJhjPQlPyiR>bbAgJhpYHxxY`:`d;fxHHjpphYpqyPc<ffGgrXysywj]PsBXuH^mufsD@vbi_FffUnqcN^lQiJatyHvaPkH`gJYeS`[B_\\??ZYF\\XaqQqgyHfPxbe^qwgspOu@VfEpetNm^_kwweHQ]SHybFr`xoRWyNW\\:gjgxb`qccHlTxkrfwjQuiqguiwmYZ@ovHOwYoqWiuehhcWrQXqqqpxauH@ou?ivWiDFuvYmwaupxuPxmNAcRIwvqyYWaYwk?yljxd]pw=wZOwfGxemfsL@kbQvEAgGyl;wpCwmdWyWNqsXyxgdRO`DipSanUgntwx>P]uOZ;FmuVtJvrWQ_Oykt`di_shHt?IdWp[Hoqp_lMPiGpwngtgpb`Ak`hydimKPlmYrwOoY`ohAk]qgC`Z^?okPftYxWXvufaZPdoAkPyedXiF`sGwccpmLnwF@tIwcU^lsQ`g@yXnrA_dLnwHPggVhk?m]^^qg]SX]Kwnjga<ne\\pvCAwCnb:ypeYpega?Iywp]wOqkogaxnGNuiomgghHnf]xumHwtdmmx>SThGcBoGbAHqsEWgUpUEFmccAX[=ihmHuIFmoVnSyeUuQmyugHgYTO=rTqynGXU[[M>njnrXHdvv_m_iCvtX>vkWgAvl[gj>Nn?xt^A]uQZJXavvrnGxq_bjgta?oa`dkF`rna>g_QPrAyexYZy_cE?obq`@xkTHw]Wtshc=otOXuYYxDGe^Wl<ayU@vg^df_rEos[QwQyyqXruwoYWdFpkD?\\JPrxIvcNZYqjta_syyMAsD?ZhPb>FZ:^rR^pf^nUypEy[BPf<>bF@iQqsU@ZVql<xmyn^J?wr>wgV_^f^c>`_w[gVsAodm>dnOer?bx@kiXqHWcBWZBNjjotiNZEfgIGjkPph_e:Vuti[QWiD^p\\q\\=I^xhZoh[nXiIxedH^lg_rFh?NqlWyvg^DQan`wJntta[hVoWweyxxpn]Vgp^G_CNmwOk]prxN`kygrYyyxyXNdXgjcqZI@yqwgupaupsM`mYap>`hL>bR^sMpwFFfTF`npdkWsKnhAv^WPaDGoBvwxQya>ccQ`nVg:@xKwy;Ak;>[:it:npu`vIFh<ojhHcqpi^nf_>k<@knQqyvlkaguPvDIluIyYIgK_ewNhtHhU^kWqr;a]]_wSarXW]`ObAW^=^ipOiRglJYwKg^jvi:@cvNwNyoWAkBY_g>u=AZ]YphNmO`ZvxivAaINwt?xXFv;himIqG?vHYp;?v=ybKrJQVJycc[XKqh:cyNybUQGySv^SFKKdNOBJKrIsVaYt:ocpQRjSF_iF:sTBSfWMFkACXWI>yvIydBatg=itQgc=cC;cOSBT]t@GvC?TFCEXUst=YgIHcSCC;rO=DZKRBoUEiRSAUmcYHyhZeiAKXToh`?CuaUbQROeUBiIMscYuVt[b]EIB=GtQdcoeS=gTED;gWWYFuaVBoUe=BsgiICBiItuMebmCCCgFcslED>wDrCwNIdG_WvixYyYI_XXEY^?fhUixSiTYTWwun[fn;bj;RJSBxGu<ATo;FiUuy[rfKGtuC=?H>IYyADl_v]yvYoyFCSdkIT=TaYeg]Bdoc<kgj;wssXmsY`kwxYYKCyxKffOBseS^_E?EH:CDLQgBwGD?DWEBJOheswygcUAVfEBASXFGhaIDu=WUCHTmbHcSSYBhsVoec:;FlybYISTkv>Kt?eD@Wv][EWOvBUs\\;hxYByMd^[dYKDNiumauHcGU;WS?TYUsl_cRYREEhJwws?HXsIl;ubcG_GBvmRbYIbeh<=W@evHyhaQTk_cF;bJyCp_ud]CYQd[_ymYDLgfH[UeqwpsWE=fRQW=]hT=XKEb[gRj[CiIVIky\\ixBEcIGb_GrHYEJytv;dtmdGwc<ECTOFgwuh]I>GfR;SUoHNiCieiQ?r@gHJ?fdev_GriMUKATC_WRmwhuVa;wcpTF<wTPkDMLrAVS=MHqY=HnyaJ?HPhXjM@VP\\mNML=\\p`IRWHvryKtppUaxSilX@wvQJLaY>AP:=vT<tALKFfixAsB@sEi_RqeBHxSI`nQfFrcysryTc?COQEZ;iiIcmiSnobd[CWUbT=DjeHj?HeouLSrYkgtoE;[We[bdMwemRwSF>Cva=RbKflOWgKWZYF>;hQ]UoiROqDUAVfElRXsCAMuqSGxSbApx=RAey]MWhylbHYwpy`QvJPX:DNMenHup=uJWhVeEOpeUmtp<Yn_UpvpU=TpuQYchp`^hLIgJG_]>\\>`[OP]AcgUXByCtsh>]Xk]RoOykqccKvYotnayROiauxY=TrCEIGWvOwoKwLeTRuh`mcbMYvSUUmF^sxP]fPyF\\KI]WbF;SRQHU=v^afxSS=oi[wuFWiOYuywEYST]mYwmGtcHDiwOuwwoVhYSpqRB[ddcEhosVAS>]HwCftMC^[TIwHVsuBoceGgiCUKUeUeUqguPasW]E`ASRUi`gWDufoaD_sHpgXDXqGLWVlMMuybpS_PUqmqGIKoYWm`SYhj=pOoUmGMQXMpmXygHmUuWvmXFesdaOMMVltTuxX@XsgQyfQXIxXxuwtdoaDKJ<OSPuYmmcLxXpn]XTdqMfYtXMXq`KQXlmpKOYMWLwqYQNeOOIwtEqbaWg=ObdTdMTqAw:pKQ]o]dMYttcpXnHOmywSdPL=Uumq@iuLDJu]ptysJqvg=Pp@k=HQ@AuMIQu<my<s`@WyAw`=PoDnxeWpANRPuiaor=qveO;auNpOHmkcAgCPdmanVFs<Wjtfu]Oau_mvFumW\\t@wYNdw@l\\FbBAt;Iw@xpy^vVqcHGwjAfqatyyoUih:Qpxiph>m]Xp@B:OHoYdowCLUvhqI_SdOMwi=IyUtmIYGyG[sR?_UdeWdGxuCrVcsLOcNYIQ[H_GDWxYB=PqDnhEWXujjUrg=PcyTcDk^dtPqNbLmLIyKUjTtjWLQfxlbdN:@lc]seQlGEWnMt_pwLyW^lXClvHAwZTlVUT]qWhaqCUY<EkPyqg]SAYymQyhEq=Xuo]rHyKc@N:@NfIT]aVsqRXPNRXqpdMyeKHMluiuWyqVEulxshDyZYNXxuupOHTXm`J`TOEysv<tn]RatRmyO;QdeXsa_sGPa?Helqn^GkHvg`fxSpmLIrXa_cHd[Hip`xVncIykbAnm`yqwpVx`cw[SNaRGmn>g<wrOGjLXyWitCgepng=thkC`AmX`t^]X;UnCQpy=m``PXdoe\\UwAU;aUYPWc`vHdxGpUXAyvxSaTU>qmqQQqXtmMQdmMg\\JsULT@xQArndQcXtXEV=AsODLKdkbA_opy;?iVynToZmasOX^tno`vqNImUOypi^;aufpgUgkTxfMNay^ar?bjv`\\pccqg@fs_foZpwx@`e>awXRCIscWLEFCKuu;I]Gwv]V[YS;mvUiCxwVKAxA=HWStbNtuOftF]KQqlwkIG]Fiig_rBpcuYe>^[Ex]UQqIqaaHe;WxwprcY`Fp_G?w\\av^Wk]ymLAy\\groomHHgnPn=^cinkcHuS?aHHs^GskgccanXHnFQq]o]o?oJP_gH]c`u\\W]Fh_;ih`A]]wcD_llX_PAh^>lXwdr>_Xx^VXusfgZQvh_fRIvM^o=Hi<Gwv`kDq\\iYusau@qafBJCGTKv[wHE]WJsRjie;[rpGbWUGceYMMRUpXFppMQUXUXfqLCLmgMVZtpZQswXqCYN\\INFDU;yOYPlbdXV]x^ELpHM]LK]<Jc]j;=JKMUbhmQtrBXvR<qoYt>LxgTJXPu<hmB]umTT^]KIAT[aLg=qEQPbmuN<QjpJQ=uMapOhXnplKTs@lJXmLTPo;mtDAS^Llb<olYnampv=l>MMLQk@dN>EWwMnW@wSLPo>cbVsLqgYHucxsxvmb?n=W]d@hVQxpYwqqwG_bpPpGyeEaZLIecgripvCVePfZp^pPA\\Ofe@xwGQt:ark?ZQik[H]dio]Wkwp\\Tqq<VijPwRXbnaxX^^MIr<OlFi]pHrXxd>@_Pvw`n[U?iI?vs?]tI^>QpDPpnhw`Xbrqi:@_KpjNhlJpeVybVN^<Oi=qqi?icAgLH`@UMItScxIsxccBJMhNafxIwwqtM?hUoRNiiXUvn?xDmtHmeZoBPYwqKwhYTD=sJehSafdqU[uvcgSMYchctdUcMEUAaXvse`QyoMwUAetgF;OdoWDT_cIGgs?HgkxfAgHefF?R<quxcHHosiqUEGXYOWSgFoAh`YFmEsdud@Ut?Ig]ESDmDT[XRAGJqUoUicYYmGgkEIt=slQtcAYnOVNWVDUdEosfMS]YSF_sWYsRoGHMiNuuM;CRYftux>osQiC[iQIdwmxS]MRwQY@`jNEkHlKealEitcerFhtqXVvMRoaslHoTQrWHLsIw?uldet`iwcYqq`SbapSenTuXoQmuhsUAVIIg\\AmHRaexoAeVWtkIrxcwgiwMUvbabhkdHAdSmxsWHdaTm]TboEJITqAetwbGKG_MHNMWX_uXOYuCI]oSwGRAUUHCim=HAAE]]wu_HxkgLMDZCFmwSAwxF]ilcEoIwjtXxdnjMSaesVDK:dNEupE<WYpP`EJX@ldPtwmlKdSAUnuXwfmRwMQv<QZXjUtoHIwRpVeyJaUw:PXoYvgPL>]YC]wL=Qt]v:Uw<pkUxpUAYj]rMAshYwkLyfYvUhSI\\J>LSOlKXqYZtpEHTYPmAhyoTwIxnnmXNan]hXQQW]qPRYXT`moDWyuYOat_IOWxMOAWiDm^`U]xq_yuPo_bXdJ>_OWwYqyuy`dAd;?\\hqcQxmX?tKgo@gmgNZtx]B@kp`]>YfFH`@qqcFhNFZ\\@yBg`BVf>Xx<au\\Oetha?o^V>rdU^gN^awm]sCXu`MkJyTkAR=`xaqMliuJloDYlvpUmxrgYpIhN@aoSuoehTFhw^<w[PTkHnF\\u_dNuMNFLU_]Txqw]TuV<VZ]LqUmHTwc=SyIoA`yk]JQEqoyk=\\o\\yq\\yNn=PlaXBuPyTLTAlelKNut@QqSMxV\\sklrR>=SVYIh:kTssCeOv[=utWi:qHngV^uYvubr?t;AtUuTi=Xs?uKGFxivW[f`IIvUFyUWyoVxyxrYW\\ESjsBZ=uDQfv[W[=wdwXxuXGWc@WH@AE]][uqg?ocEfoYQpJgl_FfT_v:wtYIvLF_bpjpwo^qcC`gKFe:v]gf]`xi]FoLxg]xx[FkLP_if[PQxdP[cytPNeHQw>ogV^sknRA=wwN=BUaXjEeckGGASSKu`[eIABlKH^ax:kdhORKgDbKe;oeqSeTuiKmT=GuRYbjEyUkyT]gZgHBCDAkCNEu>?un=vfOSmMegSfVGyFsrjGDf?unsBm]KFZxxcKAZHxh?F^U_elNaPFro_aVGZ:_w[xfHFjvG\\?G[B^myHvyny^Fnbx[jHq:NlBPpo>jWwm?^hywym`jnoqGFtlI`jntOXnBQnRh\\jgxXqjUn_ywZAVH>=@eMAh:vwD>\\MIw_FbOx[i?i?>b:qq[QrpPeJadGNqcWrmqkjxmvPrAxib>tAVuFxs_H^Uo`nam:>vDvlQx]ZGwg>a;QqIAkBWc\\>j[nZ=iviAvZokknrRjRTyhdr[aWd`V\\EWpltBDTF<JLLxsijNPlLpjpPm;<xSlko<uvdulLxZ]TN<YdAJQtNG]lL=rOyjYHxQPpFTQReykDTNDJVMNFllIdsk=PAA=:?GXgS]_UT=x]CHiCxL?UTMw_sUhKR:;XcYyREHEKXHybSEg:ASn?VeiR^UG@kB=YDV[DL?rawXJeDmevT?ieUg<gRHkvRnRfiQ`bK_j:>^Hxl?XcLNpL>Z>?[Q`_FXc^XtRhkQirewb`QfahkpYyRffGGrQHxw`h?nneWnXHZhpuU?pP_c]`bVVZJndPIh^AfHH@RFgQ_\\NCDW:DdTO\\JHcbn\\m>Z<?yxQlbc]@JBLTpeVW<Q:<K=@JQ@LKpeJHkO>wDq]:@\\[Qk[hqbNk;>kJPtEYt^@hjvrRVfFdkhYYPx_]LM@rO=LfdsDEUNeLfIvDlm]qusiYbyJr`RLdL_`Y]Ml`]k:yxieqQ]SaHNZLRJ\\uWYjRpL;\\naYN:Xk\\\\J[yV:=O\\PTVmuvmK`A=A=wo>eJd`m<\\y;ljEqvDmvU=pTDMVmqeUngiuvUjITqaINSMW=ATxpkThKGPNlxYrYJ^drsQLJIklpKoTX?Hjc]OfYrAXVIDlfDwRmTi`YPhSM<SP]LNxlIQp>yqfQXf`kklrR>=Syp]FJEWcAsSqFVsCb_dQsYySgKsXL?T[oTlACNeClmI;GfgMVZCeR;UTkW?IVmabdCcUGRUMfFSWJyBNcC_aiIcSQGdI]RR[xf[CLqBVqep_YTovJIrZYX@KWEmUSUchyB\\txvLX@AM]C]TY]QVFTU?]T<pPvUYo=v>@O:AXbYNFhRBEyvLpciv_aK<tQ>@mGqOWqSN<YRLyKLv>@KcTqdUMmpPsPWPLU\\xj[hpt@prtJm]kw`nbLR^LkquWJAO:AtI<L[dkvmQu`PWlOu=mr\\KJtn_hty=pSYvTEtQYvj=k[xM;DwfLxSaxLarJaw[=qiXP@Aup\\YReLGlYUijS]YsyYGPVIuRSuS:aMR<UQaMXUPAqqSUR=mj`aOUMstuTfIMJhxuXKUumL=vT<tFNrxVbF^[SFulp[Qy[KNi`N_sQ^nVaRaeFPlgg^H^eRPgXFgCwjuicV`t:fa?gbi>uhiuxh^=gpQyd=IifWcuQin^j_`vKxdu?]@H^@plD`iXGbiGw<hZpw]YqeYwfFtccV[GI@Kt`obXwylwYnSVywBOAS:AXQyBl=B:KVfYEocIgWT`sXBuDUsusCf]iyNcwquFIAtdKF\\GGW]EOEgn=XDUd?weYgHm]F^SSNiEWAWWIW=OHBATgwqFewuqbVXdyXiBwZo`]_FZ<@d_XvcYcqRVsvGiIDaEVGt@YrSoeJeIM=fHAwSKEoSu[QcxoY;uR__FCshhyscceqSX^[FqyWoyYpuCYAXYuVFGhasHw?f]qVMocAuGnwyKueTwbwMiRQxiqHASXfYEpmRACeFcHHuHViCQcEDifd_tymfRmWLygMqU[WXq;sv?wJmCZ_TwaX[Ifv]RW_MLeXTaXbte]Y`dy]qIwvIrQIw>PwCygfIZqQvJPhCQ_Wvgrv`]qwxf^EwbnaeYW[fPweYvhqaC>\\bPqRAvCwlpiZJOpt_cIixOQse_`sva[Xv]YpA?qHwuZweaSFgu<YtfCuq[gBcTC=rp[WfoeNmD=YHG]bOcCOwvR=TLKuJeh;Ks@QR`YF:ke_Mv=[BNgv\\QrtGFCcvDqEjIu@Gh_ahKiw>=EtkBNOh<oumqstWiYsu<ox]oBEyYbqbXmYX[y]Wsd;tloGFoutWd]YfaMYbKWDKtIIt`gdweuAusviDQ=G<mGi[unMVScdv;XsqsVQYTAwPMVYkgcGf\\Ser=XqIY@CbgWvAet>wxZiGwUbweekkrRiGVMe:gYMQxdOCcsu@Oft=shSYhGc=]CV;RpMsIAxRYD=pW[iU<mrsim\\ENx\\MqYL:`MlYSTLmGyV[<v]lJpAJkPNy\\ogHlItpa=rjdWvqL_ETeEMbtQEYtwTYtLL^eoFdq_PRSlvQpNFIk]HNVAn<TwSmqo@UMyt=IJVyK:LPs]ViaxuDKsaWD<YyqMHXM<utXltkTvZ=jXHW:ApxeRbdw=uPnivcxmSTVFHpqLkAmvRypgTo:UsA@yg=v=Dk>LLqpU:WiAxkcgZTisAnSIvTmBnCiF_WtSC?qCxoyhKxZ=sS=c\\MElqg=uBKWC=qy>_VsOXa]THCdAGV:;Bc=SEmeYUDcaH>=BQmiquwKgbr;E:QtDAdLyY:yiqwbBUWpkG<IFfqT_UgA[ur;EZwVbAlmAl^PKFYMCPO\\In?dNYpjblL[mq?HnIxTDyPO<oqTyUqKLQpDPSvqMhxMi\\xmaJLDkBTRaiQZToqpRZxmfQmhHweElQEot=J:<L:`^;_d]Iv:Vb:>cEWcA?[MYxBvsqqwWYtKNiw>wlo\\cyuyI]tXm:PtuvbbYqj^vfqdY_jjweyOg[^gOojoQrCnZRVffYe:Y^m_wShjjh`owny_rMFeWfaEoqaatjHyBhjX@bshg<Gqs>_KVqJgwYHlMid^yggAd<GdKGlGQZ;Pxq^y\\P_bn\\w>wLx[MGt[Ic__dDI`DxhAh\\PQkwV]=XsSA_UimANsj^brgZ:?\\K@ep>hlvccqys^[QacSfetxd>VZUnn[?nqYwA_e`VhbH]a>]bg\\BWaHvw_Nts?sT`jf@]:Gyci]xQonHdpi[^YbUNo`AbfndJos`GlaIdxXiEQwg_\\_gZdOr@wcPphuApbVbg`^[qZs?w`QrB^tjhjfyal>loPsgpqqadQahWweIXrJvl:>lROdLXZ:@aYndFPrJF\\jXbtfyJVbUaj[?eriv=i^LTOKUYIREmUXuvaeEhYwIeGGcrJEfBQCJYh[gGWoH;AE]]WU[EFIhayDAAc]iExGlEYYQ@SEQOdLqDTtH<nbMtQxmAmk?tNd<ng`OHhM^<NDHWBhvP\\WMYjnYvu<m`xjl`V:YTW<QDQya<qrlJLTSXhSvIrJtlJ<lHuOsaYvTYjeR\\erdtl>@QuIYVdsHur@yVY@LXay;qxWyjE=NO=RwXX<pxwLjrXmg=LMLNDPmGpuJMrYxYp@VrPO^qmGPpgQv@IoWMN@]yyypquY[Lo^UYx@vyxVhIM<qj@TvFdKt=q=lR;UZJYjKwcTwc@Gr:pwaf_r@noanaIcEnZnAr?fqiOrW>t<pZwvcT?`=OiZHbEnZn@v<ptMHdIoBYCScrg=HDWuZ]WbIrRasjkrXoWjKdhIvqsCTGedMWdGe`yEqqyw=RdaEm[CQ]gREvXuiBghxUChke;YhQ=BsoSMkfLSRFaW[WTBsEK;cr?DEiFZkYSaRMuGZOYmub<IbTuW[yTymBW?x`yRX;YHeEUkdgQbqur<ufqihoUuXmUIYuhKd_IX:;rOWVYkhVsbgWfQag\\OUiIvayxQ=XuYvb_Xe?sw;FBWigKr=Sw?qhZErEsGi;wpweqCbPUs<MFKSbSawZOs]eiSSVfIRr;e]usFYcNUS?MwssiL]SZSDmEveOYMkRhOiVXs>unx<jMlW\\dNWyxKQJLlmY<xaqTDDmReL=pshpKAXJEeW[`UdPrBAWJupFixkho?YPottpHKGmo?APDyXuPYixtWTUQ@qqEJkUoQXR\\txWlYxuk_=LQeRstnv\\QBXqU=UbDqF\\yYiYEpU`DJa`u=uSTipghKghdlGe?`uMyd<^ku?uTNeghsoyx:vbQIf=IjXao\\pogo]Fx\\[acDFvanw>cTaRaAco=txyekyY?yivixyaBIyYy]rQ?IP[CUarIwYvQBlAfBOYw_c>IbImGVMSHCGYyeKQWd?GqsdmARgqEdiiqACPoHX?RiwYlAhmMwR;W_QTb[ysyDv=BZ;y]AgqMUBIseiDyuUUuD?ivpWIiMtfkuQkXvCiUEyP;g__BLexY?xxQCjuBM?gnSsb[Er[dlAHAgtEWVpATBeVjiuIyE:;CjiREAWoOSuuv\\OItuBGeXmIUuWB=Uh:WG=cedeE`qv;AclKTScvCWdRAuJQIg;WAsC=;yyExIsYyySryhyUxiExQsrvec_WrloY<yhYMsJUhO]HeGEBaEBSH@AukmUtce`SVIIVx[SMwBeSsN[ce[vYdPtqL]`oI@JqdnuYqmUYIqr=MMpUxN\\Jb\\tRqmJ]qUtLPXySqp=pP?ejuMTBxklav=<KxQNWmwctw_EtI=JB<xJ]qpMknqvUakcPL>DRBPthivsqVnDMGDoYEkJ@JydLqiLvqVQiRlYJEYVr\\xO\\nDqy?dJQpjIlSQqQDYyH`OQyYq]vpYmiDjvEtTdUXDTHYs\\xmZqqWMW]MuB@lZ\\MlppVqqmMQ]pWplSsqwRpnmHOGXyOLkrmpiDmkuWUuwaxLeum?PMnhoBUfZFfs`bAiy`^dEf_eIsWFn\\wilxiWhqAFuMw_mI\\OVvcOgYocco`WVtjH\\av]HVeXGfTAkVvu`^isO]W^epyjphx_I`YVdhxuxnnWx_xwo<grGixBF]]_kgYrC>dRY`m?fSNangyBxlkAyn_yEx^PvwJIgH>f=IjPwg\\ydqOZS`rxXu:qslIa;yZFNadqs[we\\?b;PlJ?\\JnhiIgkv\\BIuxAb<_l[`Z:^eS?pp`uGvhfV\\P>Zq`oVicXPp;o_oAtihnKFxRAy[ykY?blQ_Bi`O?eafso>v:>\\:X_Ofm;qomY^<O[e>kcvbHvhE^d[__PArVWiGYyc?q[Ibp?ayXxqN^Wfnwg\\mOZ[QqshvuxwugyywbhwcZHyFfwrX]jwjJ_wU>`@fZBybvNgLX`S^Zy^[JwwS?ZF^pTxa;FvViqI?nQnxVXdu?Z=oo]pmB>reNiK>kO@texr[qiiPnaxoiOiiWeQXrEx^>plkwvcY_:>e`hZ:?jf`wu_keF^QI]\\HlGPraay>xgYqi@FcHAnx>`IV]XHijXyeirKg`rWsEanbnu:^lVwZg`pAv]NquXin?^qsfhEW]RXvl@wA^jrNqmi_gYrfXfm_pfIw?>dLykfwpyQh^qx>?nsA\\Sw[Zq[`GtXVmJQoDYrAprlnRIc\\AVHgImSDg_taAyvYx]kUcoDFyRyuWRCeNwEYKYG]xFGBdieq=x^KXBgwcaFuKUScXQEBSuEjqiQQbtAcXMf^SS:kgZEuUQijGBbKcI;b;cYEMXRStjCX?CB[YIe=tgEF@;De[hZOUPkGugD^[F=suwUPBMTraV;emKuO=asN<L<iLNqTiUWa`yNaUQYxCtXHiptAQRQUSdXedjxHn[PMMpkYLPR<S[tL<lYdxpZXoG]PyEX]llUym:=WiIQoeNJ=uR`O`lJ^<k<@YamkRiqgeuUTR\\\\J:QPjuxxdk?TrruK:mRfUXGLqg\\ULPjVUX:Td@wqPpb:qwZykiwa=xdHgmf>oUydin__VjVQenhw<`^E?\\>ww=VZMvtgyiyNw`pw:woQHncfgbQeMF_HOj<A]]w[<IrVVi`O\\LgsxNywY^Xw[HafspcHafJ^qtI\\_U<uw=wCc_uXgh_aEGcvdWbLeh:_UDyCv=EZGiV]hUqHnYf=[Sc[g:yB:QHpwYl[eEIFBwCJuBUscs;V;eER;bacb<quaCce_RBIcLKITgbcAgGORRIRaYeiCxuEGF_SMebsAtXogKuRCusZOm=mN^<vDeWhtLrmXZ=w@IkYPkvMVFpNldVQLo=pN\\uKh]xE`KhPridX^PXg\\qmurJXuQqWHDQapouHKf]W=AjW<S[DpkaTnqyppO[dlC@RrPtJYtpLUEho[=n=lwrEJSDwJYv?iwG\\KmEX=TN`QTKMU@dXOqu]Lu^IRoQNh]tEXJ=uP[iS^pwSXnBaoHmJ?Tn:HRadX<Iyv`kklxCLQ?AUGmrHYr>PM[DVktQ]utVYpcumdDwvdPthWdlR]\\TVduHIpELJ>tUVPWQdPDyt@UU`yvnEOc\\wXXPA]P\\`qI\\N>uOp]sEDmMAPeYN;iMapxDqO`YnvDy[InrUykYpYqvMHNW]v]`vqUjZIKKMqPynCIJmEW`UnTdnmhPdqXe]LI`ncxYwtMeQN<MJ:mmBElhLMsMonypVDubTSXXV`asgQPFU\\v^lw^i<AtpwtmY\\Kfn=nnFoaeHcqHb=YdFOhVhpcnwX_s?Ox^wjUwvLhadamhNcEgkB?llYMGI\\KuYqtiCgL[DB=cfwsUWEQQR^;i][tR_WwAtKmf]oHOSv;MX=[vHkFcOtWsEnsEeItoQHeUTVyevGem?yJsd?uI;=SLux[YirGGEYwfUwMMwY]XqosS_VFGHp]EHkvRyF_MYKcF;;fZqgfEEQIc@=v[?W]eXUGEoUdXgRaAYaMRDgY;au\\YyWqwrcXqmBJUDdqv=]vIkfcotgYTqQFIEDy=clgwkIWMWIFyFNyW^EG\\YDBkewiEIISg[R<QHKaR_]hLMdsAdlqy?MhE?Tk]hwWhvQU<Gisab@gw@cD]wtC]S>KxaSGnEtXKtrIWlsVv?fscxMoW<[YNXnxpMomSC@WTqSMMpkXqWmwgUwMINOTnxMK@YONqwqEoWEkM=PR`n@ivcUnHHynqx@ljuLYkxP:@YVeqFAoYxkYqu>LYZxb`qacppHA]]wmpxuJF\\w@w]Hb@qeSVun>fEP\\^XacgtW>e`XZKOuVndogoA`leY_Rhxc^pgVcM^_R@gdFfnQ`tnZSXi@Itsn\\Ffu:hvlQ^J>[Zwrloea>f=A]b?hN@uX`^Un[fVr<^^cqgS_]EnngNbTidBs;Yy?OcFifk=uLaBu?g?;SCGBLUB=ctaws:CxC;YrIIo]x`KSd_cliieAvW;uPiWMKehMBXAB^AbqIw`GcskFNIb?CIkwWgqiAwtEGtd;f_iG[OyjIHlWcwaT=ACQYBbAUg[rXchakrRSVYSIHkvRSISWR<GI:kTACg>ABSGREChIEFoUucObskxd;I@uB_IbQcf<QS`IRUqbgkWSuDhYDdUoXeLgtT@dnO@RHIpg=RViXmyjklrR>iV@Z?HpMGhPXsWvwV_[sGsUPbehnZhleXvBhxaxsQynj_kYP[mXjVGcA`_u@fbO]nfc=Pop?ddpwBAgtIknhhe?d:ogZibR_`[HgT^`GgjTYo]`tkFaJXfFH@CGxMHAAuC;I`ob;ufF_uy=yKkS^?cPEI=cVIQydmcSYRwoW]kTIaY^GUiaERMiDoUssbimYj?DFyhJusc;T<sfBiSDqeWgH:mFvqDymYqGyACBKYCmqu[_dYSXUuhoODNcvU]ylehsydZKG]yvSuyJGH@AuaWc=GI@AE]]ckkrRSI=]IFQdkkrRS>qsJsBmrRBpmbr;e]]ckk:tVBXjslBk:ge[kC`AE]TF@uSLvZm;];psJtJm];];Sqr<m]]kklBvfBXjsnrRVfF\\u:VF>U:Ja;\\;TAJ]kR;:u>^wRnpCVsxGw<?pQgrpHpoHcRq^nKOaKRqsmuLdaskiX@qQDmxXqXgawtiQsHu:QvYYLppj=HQ@AMu\\j]=nQeSZ<N?HTLyUt@PfqO=dsN=M[AxwyoNUsvDwqPm=POleTgUnmiV;eo`<LJMKR<MP\\OgpkR`M@mo]MjuAVu=xomrxLWHfsFN[WVhqq^Pw[_`cWNuh@kHI`KQs_AtNIyQajg^y@@kbinEFrRVfixl?foMYjdpxJQgwAkYwov>cIf_n`lQp_QVeaWbY^[Z_wvhngHnXHyM^w<i^FPovOjiYhZ_`M?sSfZnQwD^rOxxoPdRNcM_bMwdKHlPhnMWhJxqV>^VitJIcrwcjiyYV]xpsRyn<qjPOsZH_QItDGcUy`kVaBa\\n_vTgd>hrgviq_[nV`_?a_p\\DNpeI_EVsHAZAVH]w]sV<ewb=X^aB\\EbAay]wV]WDuiExoyKWISXt:DOkiOnaucMjsTqQHRrPO]xnO<LRey=HTA`y`ykjPt==mgdJqhOHaRWmyFtYnPtRLmg<OYdUyYwOlUamk@pV[HKWms[pmETv]Xolyl@ixuAK`LmDMJtEU?UTSqLghOh=JcdTSdm;mWwyP`QmOIR\\lt=mVJIJYyMtapkAPEmrRyrGItJusvekLusv]vH`U:XSrdRCpw_EWW\\lLDV^qJImyO]w[`oHLPsdLDexhuNEUWPIxE\\JbDkGqsg`J_lvAluq=TgimlMPRhKwxT?MSCEn_emjupAQY?xtShuePnniuYHxWEoDXlPEyEXYWtvvaMeyxoayxPSBal=AM^PXuTwH]TD=ssdN^Po@qxG\\qc\\l]MQlDmP\\saTOaTQA\\MFI@irgSIaEVi[fiKCJerNKHa?EC;sX?b=cgVMrIkg>KXqmEiGEbiCXIBB;RXQxnMGZsBZ;vDKWAeYvausSu:AfXGb\\CYkIY`WB>QHJ=yhayDSCWov:kSbKbJWH:UhqQdKowC_idWXxPwqiXxqqt`lFLLhxwK=OcUQxuK^\\NlDVRdvVqsZhUHaVZdyRMRcaU\\HWpaNr<m]]kwdOAArZHU?mO[@NZiKZdptDxUqtJeS><NDpU^lSV@m\\aORqJtexFLbX_ixidWnfZ`k;ar>ptd>^v?cafw]WoUgo>`bh?hyo^qX\\m_cOfotGZc@eRFZCob;Wecqdcid>hqX?s?fxp`cpAZOqsu>qO@uWInIop@fu>>Zi^ngvvIivoQb>>h_?gRIhihyZPxpVhD^^iY]vh_eAx`QaRVetNa_@]^XZyviNIxXX_mXj`p^\\fdhAnV@h;WgpokxOi[AmdNeOQZLOkFFcDHnxPljOrKYmBGsX?k\\?]oyjX`s]NskQwHIycPwqI_UQvexywglKV[uHxhXpuIs`xdCH^jgxMNooi]SAj<N[Nvuu_xdxrQyauAkJVfFhacHaGqfMOmFV_Nfx:@^>@opF^\\N]Mg_TNnrsLMHXofTAWxgyMYmw]rQypclO:PjOHx]uX>ewr@R:xjLYrAmwcMtapRpLRxDJ>Dr=EnfUj@XtA`MbYReqXHUtcakXTUoxnqtnEQS>PNsINGuSxxwxdNWANyExlUyqqL=`J:`QexNq]U]@lU\\JImlhxuWxxM`v@<On@obiX]QK?DJ<@l^fg??qfNlY>^rXtNyad`wmOmFv?yRwav@;ChAF_SWwMev;y>kEx]iAwwliXWuVQgRyCrQwfKCDKAGImIrIWeIgywhbSHTgs`[Hd]rCyBJ[y?Mi^KFTohcCEDOTpSe`?YlOR=IupYvr]uoixtwssISdyxCKs?]XXuiiWdT=c:Cb\\iuWUUqIGgqUngigyTPacTIT;?bBcHHuy]GsHaBAS`Xhsfh]av`:oqvAkhVgkOcpxhwYwmvncAp;GuJxk\\vkwy\\ditnO`aa`Sn`hWaaOjAP^Inw^_uo?eWqsb_dEXlY?Z[Gu;_cqxri`_bXmKA`U^^yOx<prAo\\f_lqIlZ>[uneEXfXq]FI\\Kan@G^:@\\dHt^gvgIiqFcx@w?feqytiVkxibaYowhnjwlsibaxuW`uX^oWaZuGhTIuqWemfnKWqBGxZXikoqvF^DwadXbyPv:Yvw>ueHqHAkboa\\`oI?ecVsRP_;GjvGu[YZUQyVpjSw[;ngDoxAatHorcH`Sipgak@w\\sOktQjI^[hosZamYPqxwcLoomaywgmqWv^^_qYqWAmDpiJ^jbfefAoBXupHi^Ibkxk@ygY_wK@^]_wMX^`N[B?ix?rYXec^f\\gdFNaUyrt@u@pZ=q`Zhyvq[h`s[Xiq@npVarXpnqk]HrrPZfIbMfdQ`HAi`crl=SvKGuqu;[cPKTCOBxwyoYBZ;yJCsX=fTmsVkHNyv:ubNigSQs[OwN;tmSUjEUdKws_CxaxoMBXAb;WbL[ITWBNYYAwccSyQwymywkyCyExq;YmyIVCXZ;XZMepkYwIxI;doqEdgxtKXkWiaiWUCi^ORIiwRgc`Agb[byGuw[DCMCZ;v@kYpcCR?rGAxoStjGfNKTqSSI;uPQVlQcE]uLMFQQVRcNupN>IQpQVh]kE]rpxkiPptEQ^LXYIvayx:\\Q[\\neeTNXXD\\nMePOYJIxXEEsXuwomXW]LopkXhL@ePmeQJlP:`S[\\klEnCdph@Np]Xk\\UJMXS<yyXyPdqFMJHEqApmnhWuTM`pn=qpn=oiaMVTQgTwoq]eqcXwqIh_QI]yqqt`e\\^e:^_MQj=^gsimmGreNZrPpZGe:qpDA\\?G\\:yoj`cE>ZI_mwa^w`hnFsRVyn`klpa<^uNpwiYq]Ou_`n:N[W^y^ogBGeIQxH@wKvobqoUimq_a\\Ik;waw@qU_[JxasGbQxbynxr^swihuFnEPcugirQvlqkr?hUAl;igtIcLnkdxuyWhnIyRaiCny^fevnx[ws\\@xqa[m`^Tgq=nimAtgot_`fnppp^qcX]Qnlo_q_w\\mTKEVkavgUu=Wi?AXngd[QYqAUvCB>CBXKcQqRI=HfaxjWvwWwOsUaUc=?fp]uGmwruXwIcHagEESqWe\\gwAoUvUVd_BiyY<MX]]d_ss=kbWkiXYXxOwcKwqId_QIayuQIVP_I:CCkqxHwFrUTd]R:=iagIWuhUWryig^uEUkS:OrRSY@mslSWQyBFkSKGtiec<of?=FTAYGQuBOC:=hlEcsqvYAcj;sVKYyKyKKVo=ggQCLpMvQywyMjIqQMRf@t;pYLaOMTydqtE`R[dpxuuPMKZ<vPllqmXI<LeArSQTAXqYuyt]rpxtiHQ`dkB\\Jr=Lg`K[MMW\\VhaVTDYDlU>\\N:tTP\\SM<JV<o_pNvhvoivA\\RKiJ:IjmhokQkl\\l:lWiQni=XfTLP<Jq`ofuUqLW?`UdInYUS]LvkHx=yMy@j^iTJXWd@pHmXKaMp]qqeq\\YwF<JfpKTXJQLT?@utYRFDP@`UD]jTawZIVsuLW<J<<X_Pnm<YT`xjtoqami@YLPyw]VspssyxOIUfyt_LkulRY\\UyqtBXka\\Xulx;<KEyu`lxcLvZCu\\Mg`ktXo:`oI<YYYW;eQg]PqhmeQYbQkeiJQdpODNaPSbAw`ln]XKNTVh<WyMytEucAW;UQ;mTiiyoUwtXQnxsn<VZ\\kF]wSPQTyjjpJbtP;PrJArZ`nvTvZHNKLl^IJZErjpLoIU?EJ_Ax@QWkMp><vDllwhoa@M:PnrAJR<tGXqGXun\\SVER:=yHQMnUuDXL:]oJQjdEUr`wP=lJ`KvuxGylJ`njIkt<yAhMiIrXeromJRhm`\\PcTp_EuBtLNPRDLlPaReIJSyNGPYSlV`@jJloZpptuSMhwmaKHIyMatiYVEiXxxqipsl=woxtedwRQr@hV=<LpxVBiJ:Tup=JB@lpmRu]w]ur;aM]]ws=QTLsOuJ_PW;DA@P:UXSxkSqPnyS^dolXKXAX@dtXHJeMP>UNQ<jSay=lqJ`NbtkcaXv<phex`uJbdtKHYgTtf\\MGdnNULlUW:PolayWTLi`v?<xXllKYRc`V[tTGhuSPn\\djO<y:<U@HqouM[aUHDRv=jt<uFeNhERW<M:xN?PR\\Am]UL[tND=wbmL`XnpLK[uJWxWx`riinjLPGeL`YNt<yA`MiIYKItfMMJXXshwmit<DQNLr@LUGiMcmuqEPdAOcIMNUKs\\V<MJh`t`lLSAwW<MtHX\\IL@<reiQaySNuqIpOQipmYywepFULQ=x:EkgAY@DwR=Pg<J[AMpxrppPFUww<N>HLEtMx=SfYNmal]=QSTVY@qcumdbTcMdlR]\\TvpS[aYWhtIyLaPu?eklipKqlsQJAqsSXu[aVSmx`\\TEDVqaYcxjTxSbxUEQT>yNJ\\JYdRlhKTdMl=sIPoUMNTtPbDmhuo_ukuEWmYspdUFpMxDv_mPWPtnuteMX;EX[qqsTX>UxpQNm`mZqxMMpuXw^\\kbtw=DKuTpfisc=moIlZqkMQW<YqsAOImYr=OxXP=Xw[qvMH>IlquQhTu[IVA?vWhqrihpv]`GsaqkLiiMqp`gwrFqwFeTnwcxoSAo@GwfgkthuTfr]Fgdy_qIaw@kJ@ZJx^L_nEpbXP_wi_Yox:Iamwxsg[aayNhxuOslguyXvQayuQaapgL?efvqjXoxprON[<?nBqsnIo]Nst?bhAiuAyF^pfYn;IrVVFMIQICY;v[?W]tNimRWanaEpp@TnpRQXUyINueO;auVprwqPoLxKLxftNSYq=EUdhUnHWnMlvEvQqVnlwP=OWF^;?xKoirxfmyrNiwf?cO`ykIoyyeqXs?O\\?haC@ahY[`AgNh^Y>bx`hyquHHtnQ^DogqiiEY[F?oUx[KxaRdPi?s;tSw`K>aY<ey@Qp]PwCMTqAuXau;xru=USmUtQQUXTyDw[tStxYyeMIyjNpxrHOsxnlpNo@t\\DuIXQ<elOiX>qv=MsuyLC=X<erKqxtUY<@VhqxuyUdamYppxuSQmo=eq<yuQIYYPtXDj<hpWytFanPLN;Y\\UqwS>\\KQhgQcYfvq_oMQsxf[V^sknRcHU_ccMHUqxIcsVofMWyPkTwcTjst__fAiiwEdayTdMYSifxIBwMvActgayLOE?qr@uF^mRmkigWSmqYT_y[OsHWeESg`[tB?YbKYkwfgmsa_HXcCc=YskfMcGqeh=ac@iyxIB_qUqXvw\\VauvqemWyWHUtkaVuIYUxScMXYIKwMsZmw@YOrtva\\xVhvteOyxoMqXV`Q;QvwtrvES?uywuSmyvNySuAsQhMlYTsxSVyWB@kX]VvuN]]kWyrcIN[lY?TotDjP=lXMqntMAtr:UPMmjWPs;ExhtNZ=Qp\\kXPKk`U?ITMEqxlPPuJc`RIDkXuJcXR`ALTeM^PL=\\V@dOvpnvIPATQpAYSIvNaMvxUd@sVmMrpY]YXseoaayopleAUAayxPu=\\VNPQ<im;LXulnEIMoeJcTn>dpshYxAn]hLZ`LV=oehtWTxcAuaPjQdKa]kwPQHHo[=tcMRuPJVpUMdQsTJ?EKVHYlmjQpV\\hlL=xGyKiIjiyqYUyEXQSyjoIKPmoSQk[\\mm<Lh\\n:pmDDo_pMXImnqnJQWs<s^QwjqpD<lIAnmdxbXv_uJj=VcQOtex;lu=QrZht;]Oa@RC\\qVeNyptmmyTUsoAXA]yxPQtLwSpN^qTiuVZtVo?djN[R^wD^vFp\\lfdQNo=n[^A]:yc`A=SVY_FeWd:=veyEZAy\\?GqMIbcbIwcbeEmwbteu@]gXGuXGviiDscrkQhmQxTussYWgstMYHJQGG;vg[DJSuK[iTMWWcXMERcSFiui;GWpATdABSOR<CBH[vR;IRWVF\\wMFpg?faQjwx]YxcgAiSYwwvV^kWX]HnvRVfFH`@A=SI=]ib=I]]ck^Kge[\\cFdkRfaCk=HAlBRat:F@^W]EFIH@AE]jmVJ\\kklBhm[RFVF>uSNvZ[R:WH>HA\\;TAJ]kR;:u>RFBu:Za;^KVAZ][R=:tFJFJu:]wMGv:QtO=gtgBaevWUSU;RqwCWyryOvYueZ_VFG`fAiV^skBpISj=fOOrB[YxiFx_yvyxrYCKmR\\_t>ufO=Rd?H:WFhyyvyIdYBviUwyY=OWwsRsEE]]cktMHlvRrc;ht;gUcBbYxskfQgUNMVh;wGQDleT=ChtEE[YYy[w:qyAUCHyIU=Hy;xmEI@AE]XWkYM\\LnQpO>TVFHpm<xIxyCtYuyqU@lmxyElyauwEuL@HP@orxWyLiZRys@H`JIZ?Gb:ixLifs^j=VcMGfrWfJ_nQp_EInXXnHh]RVjH^hknjN?yrqeZhO[xFECC_bFgi]GrRYFWWsoshrotNeu>WFD=CAQVB[I=Uvj]SGKgk=x>SHBOh<?hqidO]f]UrkEcreV_OVFGH@XNwpu[ml`AJOak<DsoYQvHYUmjt=YYIw_=m=\\tEDKBQvY=vqyU^<TOamwymsEWIIUAqRWDoqxY:ytDEJwXnepR?EOpiLxAxO]K_dwcLKAAJVxtotvbAoAQVbTmh<Y[PnvixU]qC\\nJYY@PPUdxNluxhYExpiuu\\dleTnXQwZxteIVj<T[pxd@sftypqxgYUvhSN@nTyoc\\VlHPb<sJdr:LJl]wvlYa@M]CUIwoqISWd\\=GocRROwQ;yhiuEuD`ABL]C?Oi<CslQvewwIaf=_xVgXfCGBeR=?XsUDJwchYuDAS^OFJaXSCc:YTNkc;;I]WWHIbPMS[_VaAV^_DB=C]=BACeH_BkIE\\qFEQh;;yJ_iR;fOGCf_IWQXZov<;ypeVUuYhGc<YWdUhPuB_yIwQBaku@odcIFJOs[[Wn?fvofrUdkkrRSVASYwwS`AB:iF<MIeGHomGBmumOGjYxOIhe[cLARAotDERtKy=QF\\eXOKiTuRfasdwxfae?iHaGfOIyO;DwWs[shh[BleIbMWoIE<ODUkd_ArYwwf]Bl=b]wdKWUGORReT>GI:;b?;SLCTJcdwCWNYs[YBAOHTAENKSR[ep?hqEIpQXCMBQ[rj]Clgt;exskEaMH@AE]]wC]ihAVhaEs?yPsH]uSDQHZwiyEhisb_abK=GfmBcmBdIitkYwGyyqW>YwOYbimIRggNKTGUDImyFuuUkbfIBh_S=kfR;bfii<OuKuexYYSSVF\\wC]Qr=m_hWb=tFTLpXv<xTP=nfUsv<VU<TGELD`w?\\MMLqdXrnESBTOllX`@rjhKbMoHTSF<NVlY:=V^AUJiPWlj_UJ\\=JDPN]qWhIJAllhXrC\\j[Dqf=MdPKWqX[<Ne<l_hOYIWU<tFEL[Euu@Sx=nS@X^DMD`Mr<VRul=TsjDppuwUiv?=VsAy=IpF<mpixUQL^hqu\\XZMwT\\X=Qj]Qx\\<LHTRxlPsPrKdXfAU@\\XWAjCtO^EU@=VayXSAPoeMtHV;ivOHNeDjgtvRIjcHM:=UXAYttv:Qto<W`hKKMl[tJ>=J\\imthpGeK`XOFDYEUvk]SWLoh=rl]UJPJ[]j_uwPyN\\lpcHr:=M[EKj]OWLm`MrKPrJmXfuqwATIHWIlPFdu<xTH<Rn`XnaTMlU_Djo`MjlpCdSMAVT=jEMlKlKAlpnHuOiso=WtHJAiN[<LHtwBMykeYx\\WBHJSLpfdwH]MmuWu=p[MMqXKFUkLQpfmpCTrtpYQiJKMlPYsfAmJaKQLrlxLppQ:ArjENV@TjPYseMXqpPYs\\UMt\\W:tTpHK=APZLJjEY=TMI]LQxtohv:Ln>DYaeQ;lphXrH<sJ@V<UMb=p^@MLLxhPulQNPuW\\<NgxqemPm=OyaYoUxyiuKPQdIo=QLwAU=`M\\EqYDx;DTRPq;TroPTIyP?`QhhkfavL=TBAykyviUQR<mc\\Jv@rOHn;AR<Lx=lXAAM]sMUXZoD\\=w>qBbmrhqy]yYvYdsSU=eH`CRcSEjESl[FQOcL=U<_UJuW<kDEeg]sDE;RviuU[rdOEFoUHKh^SFPOyDsUwEysKB[QInisUErHGbPmR@=FKabHCDhSg=OR\\sbHIDEWtTgeF[v:MCWS]:Y[uhl:`^_>tlvgEqudffZ@c\\niyIiCfaw?jV`w?Ymivq<ytYgq?yvYHkJXh=^_xPt;HabX^Q@l[ixxHb\\po;wg@A^wox?nuxgyonqtQvGniafrJwqm?^qGa`W[s@xU^qsWx@FplppX>u;IjPOdZvnT@`pel]x`KD;CE?ct;_FA;FTcT>aFSCeXIbO_XFeEukFtefNKT_qDnSr:OUIERxii>?XCer`AffSSeWF__fJeTG=R>kB_CELwT;EWSGR=IHO]HEEG>gFKsewETTuSfGvbAgAaD^aTACBs;BQoU?OvO?dMudyuhG[xdiJBqUruQEHndxWvEqgXnSPl[tvt<pVMN>UU=eQ_DretnJQqstPp\\pPixxlq:EUo<PbDOB\\J\\=S^pq<YuIiN>XKuqmH]MQqMfUV:pV[DjjxtExPcpLneoD@XZYXvexoyTJMTGiVUTpZpT]=KbdNbppBDTnHnPUVJ`njLXWhOIEWFIJdHK?DotpJUiN<qw^=NueN>QwtQupppPaR`Dl=eYZXrNYQb<OYHrU<S[hpSArHdWIlt:dJ_iKXaqK=TxHS:Uv:QtU@s>xuZisU@MdqrlpkNqLDEoj\\NkYP>Qwt\\x`]K;xsYQveyoy`RfEpKITgUWw`q`\\tPULgpkx@oyTW:pTmHk`UpCHjxUyCUpQ=jL<k[Pou<L?=rdiLZ@Yw@TDutQqP:TUAunXXRFmLkYqIYXbIM=\\v^AJx@ydYWveLHauM`nA]jVlUYlUCTo=PRcyNVajlMRBdv`mvjHv>qp@pu:QUfywDarZht>UpSYjpUTJYNUAsplkHpT`\\KiXs?@RCujVmW[@Mn<TiPw:xT:\\S=lv[xk`AYCHQ@AM]W`mHfbQ]nWhAw_Cpkn^st?[jYdkQh_iqnxj:@\\Oq^qxwGQqkOh=^ZI?lLipKfcC@kbObQFdqFZhOkqxfeViWPdqFw[F^NWnkai_iwkgk<OZB>kJWftxnZWt@fb>>lJvgMai_iqJ>bX`hyGyXak`Xvpfrw>^:icxAi?Py]I]Kfsb_uGQdJ?evx]s@eV>svo`_Hdk>c:>cjajbVikNncamboaWFdgNw[>Z>vePpjeffx`_tI[J>_Tqew>\\\\Hh_GpYvct?ceyiSHdunw]`hygyWYq@adkYjZIcMAxpYub@wAFrQ_nEiuY^qh`k]NwrobwapYPbOHxtyxAFb:xjLhuUYhqV]`IsiIkLWflWq_aiNh^YQphobn@oAIsrHbKGZ>^bcQf_atIO][N\\vYw_y]QObN`whV[svmKaflNn\\?hkogLhyoQachbVa^>PgnFewWiPin^xZ>vh^gnVWhTnfw_Z:`uxAaOVyMhrs?mhvpONbewrjhskfw[oaUPt^xqfxZq?l\\irpfkaV^d_n]^\\g`kbocmO]OVj^>q]`tXWgUytQAkAPvexiRphcFwmIdlgxwHeQPlh?\\J^nUXdonoK?sY`nOXd>WphOlVAZCFrDfuXHt]Ou=amtHh;t=Eu[QWSufnED;QuiIrfMIsgg]sYNOxQsdnCiv?ff]HDEyxQvTUIngWgaHhKdY;F>mGbUXeIUycSx;YbcuYeyEae@idJCC:CymWr?yV`YHT_cUYcmuCYcbLiDdyS`[Hf_rcKDi=tRoCoSfhMXsmwQwGyExLoxWeseqbNgx:?F^CguoxxIdg]NmYSt@saIOWDUNHtQxUX@ocumlHRyDyvLrWXWlUqyEnyMmxyPtysgQMOXsyIlTdyyQSMxyeymHPQDmrRTVFhQ>alTDL;PRuLj[XN=HqsdKmqQLlttDsQIJFXmLYoWdwEay\\XNUdUiAXGQuKML:Lx_yRqXYWlVCyJqiWAfkeqcXIZ;au^Qj\\pg;`iSilZGgXqnr@Z<QeawytwmeIraF\\Kax\\Nb<>bjy\\iWamgu^F[:FqiOZ<YwwwkbVwU_ZRFxOp[bqoZok`ggDXq;?ufAmGw_bNwIQtbwgiywLP_;Gj>@f_g^jImLW^>NjJfnGyoUahNg]IXk^y\\hqtIAqbyenOt]iu_geVOdKy_Jx_uNeYAl`^tHwjbNlgqoNYy_f\\wwh=HqKot=?\\PYuMfcUatRA[hWycwxW@fhotHXlUNr@ik;hfCNgEpsuXaXiqcwiMPeB@ZJ?g]ArPVyPn`<frWnkcw[mpx\\>jow^cqcoxcT^\\Lnp?vx>_hs`[P_aQy`DnvEX]`Vg;AulWt@_m<Gl\\f_\\wlSfh]qwOXmQvt_Wwhno=hlZxwRYghXmVq\\FisbQ^tp]FI\\KFdyfqBn]]v\\nwvlharhgWYfa?`q`qsHvYQhmWfx^nnxfm`oMNo?p\\;aexWpCv]bGdIxp;`u`isWXrfA[`qkdW^UishvbnnmMfklpa<^aNpeWAixGqvHc\\YnnwhYy[fVfFLiTvxAVhAs[mlh<OoULHho\\tNgluk`xHLUdhJ:IjwhVbpkjHPMDSneOaQksttUTQJUUW\\q==J[YvmmtYQll<MRqKFqnl@iHH[oht=Hh?>rkopFvblguCid\\ic^AnB>ZxgtZHuqVmgny]Qhgx]CX_F`e<yZZYZngtRyexF`;Pd@yZv?yKftPiwpqtZXZeFl=qycIjlNctXZAw_gvvp@ujnZg^xF?ZQo[fYyAynWfdAqbi?jYwoF_plF`>Qfqxo<pv?_^LFbR_hPVrOaxPNayPZlPpsVu@Obdhn;gg`ntAPmgGydAjLnjuQwa^i]vjKXggnv<GrUPbhWfF?xWykt>duVZv?jQNtPHsJOd\\fj:>jIVjH^twVbBabkWpGou]AmpAhwHjQOr`adFWgJIrIyd:`^EwhIhcH?^`YZjqqApkH>rKGtdiqAXeHVfmVsw`qFQvRV\\QVuo_tI>hnP`LV_ai_P@o=q[A?\\C@ik@qBwcngsgIvL`nuVx`v[hWeIFnq?tui\\:`psv^M>je^kNPv@>xenZ=hseitEFwrihfIZAwbsvxWngmydt?lfxmhVn`Idg_fAFdHV^ZQtKYdYIZhgZchtYN]Q@qRxhaIdJPdXgiDVd@A]]_kgGx:aZbn`nqcMfcOQbZnl;__firYpipv[uAwWpeCH[Wwy:>r?Fx>fyCvrNGtdxhZXq<Ac_OfJ`jiydl^sgI^@>^uGjYvugVj]ha_I[>XZJnynq[piyK`tLX[[QbCFn`y`rIqXgjT?g;GhS?wo`g^PmA_nX>hF^[Thcnaci^lNPjR`ZvAqqVpYIho_gdq^Z>_bf[t?cWylBXrj>xH>aZ>\\WicFg`KIdG^^xXySvuwIvm_hTHeNYmo_fpqZSn^FVhsVccWeFn^?>\\jWZy`ijFfT?r=nt=?aTI`gIrn^c:Vq<>s:^v:>jqo`FWt;^q@^kIVk:NxXolCVv=>vGi`k>oXyt``kMpemwrr^pggaBhf<aZjhq;?qJ>[E?rqyqfby]y\\yW@eI=OyDycEWITuRwCXqORgcS?gGe;CVCYvwRoGduqG<UV:Gri?buCeTACncSbqF:CGFCyskDbYVFGH@AuCiEY?B?Qw[?DH;F]gbKmWPITB]WEqlRlKfTYkyu=PV\\hmf=woaJ<LSWloVeMGQW@Lk^QQvTR[<jUpsg@N\\An_QvPhmeETv<xppqNPRsDv;luq=TgAU:Hu;uJc\\nH\\wQMudEKD=N;pkN=RmpU<MOvhvHhyPurNIpm@wvlUS@PGiQUMuH<je<m`YjYhn:<x\\ltNIVnUkBPy>\\YrIyu\\y[\\M:MWiMTQXwaToP\\SeUYaiYKyQwmr:hvRqx:<rTQUqmOBpO[EpitLhmmfTu`HqaDRBXXmxswEsVmSmesWTwjqpoAPEYwWaPppQWYXgtR?\\UyyxK]s`LX_yUPMlX`RJeW`pp^=XoDtcdPk=rmXyWpKdUNqiLOew[yLB<TLLstyw?Hn;uYI<yMLshaw<akklrRTYOqkFlvF\\T]EOvIsFHnXeQOuJ:]UHDXl<nX<lSLXQTqQXRfyky<rUMW\\TXfiOjYMPQvclS:ErHas^YoYIWSAq<XM[evJYqvQN\\enF\\yrPrIhttLYWpMVEm=tLKqpT=S>qq?pNQHTI]MnIkoxww\\qHhUjQSX=Jy@nmuVrLu<XnI<PjDJKMlZqJZxXtUsaLNUhVPIniIkCaO=AjGtL^`ROTJ=ARy@M;xvdiMxxsN@PrxpbpU>LJh=JQ=tOiO]asVTYK<orYrAdmEYTrlnw\\J<IJB<JXYWTqlHpq=TuxPJZtO@HRt?xD>rOpt;Afe?x_ObQig:Yw?xd:nabhoWVbEg_bhaGnsCposXvWnupp]^>^inmqHmtiwjFwOVkann<I\\QYwhn\\tFqLnithk^A\\fvtiojXxoKQwbOmXyZWAxtNoG`w^WbeIw:@nZFpk@wWHabAvQF^>`u[xhM@]]_kkbtsr?SX`ABWwUh?BQ?ipsufeXxYuXuXpCdZ?Gx=BY;HbwhpwB?;XpqwTUwF;xX;broUj;uQ=BVWBYsIbYBbww?[RlEg=kB[EuJuBt;vuWIyWwXMX;cvrWErihH_TW]R`CXR=SfuCt;thoDIeDhuiGqutsSkqg]QwRmcc;x:XSstj`qVtTYexj<et>`N;lojMJktPjexmEMspnkpYD`WGdtlPqq=odHufpu@<OhDKkPw:donxJrAV\\eP=TwpHQIPShdJY<jqeqH\\pGiKFdKtil:@ThTpyeyfXl>YPAipADPPXR<iKZylHLYUhQouRAPW:lwbmKcDK:@oZDLP<jItQZ@leaWVxQULWcPKW]L;DT;]S@<xxYYNLKUHWxiMbix<LYh@JVuKrpvVUsqawopJaErtLx[`w[hWeqUHqtyIKBEO^QN<<X_VwHYlWW]tpf:nmNNhUoj<o]=qwO>drIx=iwUnyVNm?h_g`sKIdDi`kYoqqwVIrowtgir;QwBPs]PuBqc@^`]Q[J`voYmTnkDPgwy\\rQ`OYq;?o]Grjnxwfu__kknrRYoj_elflEhftGiIfbUV>SdEMwqKxNsCtGC:cBEWFT_UHwDS[w@GUlaWEqVsEDW]fAwUGeErcwhsdE;DByex?fEIwV?c`]XSASLwytEi:OVQob]iusYhAEy?MusEFRwfxAY<UvKUedCuBCy>;DVIXduS`[XsCeKQWT[xrUYlUi=GyROEKuHsWFUCWCYyE_w??CPstlkSHqbSMxEkiG_DbytEuH:OFqivtqU`MfmuFI;sVyXW]ixQFw_IVIDd_Ca[HSsCcQfRofJQHoOYpwI[Gx_aVqqyHOg]IHOQR<QFuseu;SCQV=OugYCd]DM_DlyRcGhLWsx]iFQEC;C^yc`GGYUWJegLgfb=H>ero_DWWsFgYRuU<;VRgxK=hloe]GXNwxg]fKyiHeci;TveGguvFOySuIC;DbKTUeuAadTIXICi]SwcuxAid?mr>AvTMG?IIoYdEoxUcuLgDmqc]Mu=aw<OFQIEAshfQWTqSLwBZsSvgiLgxkmS]qR>_uX?IggHIITkEinmBBiO_`WkpRGPUKPt[tQ?UMqxrxTwaxLQiM>Lx?MpNUqbUTuQn@Eybxm<Huxiwo@Y^iPqDWflsm@LFYTq]Q[HcxftlHgDpZQvv_^dSNt^opb@lsQ`]yvTQ`[vpaGvZqpoXtoygEqlfqmnngJ_rGNjifcexn\\oiS_nZimeixtypZW^Uvvwov=ifPQteyt`Q`B^bnvmLifyHbciviQvxa[WxtSg`QXyTheLwpunnsf]QqbpXeXVnivcqH[uvnNycuIsWN_hGs\\Xa[pb^GhHW^uqtdAfFH`@uFkSv_H;iVgKhBKG:KDvCDDqhAaHUcGQGF:?R;aWY_cKiB_YFEocF[BycFeeUt_eGIWLygJ]uyeuKWCKmhkKicAfFyrQsHWweUwsW]xc?EN;sM[cLmhPiUp=IqeEaudLytuqbU_ykQEGsfMKiBoGYYxVuXNsWu;XKaVNOFKaH_YxSMcAObNKSY=t_qvQ]GuswhATVOdK?C_ShsMsaSfN[C@EgRyUWuBf]RgQUTObhiVWAy]aTs?EhwgymX]QdDoyG_H[YYGGw\\kYwoeO?RhAVTOEQWHTsT<WcZQRjITluSIqwbOIXgCcODoiG=ch?yXtMFSMWYIwfusb]TEwG=;beYVIMT]]XUIrWocTaTEqbhMuGwGXEfEGv\\_g]_iY_Ix?F?YxGKWqUyNqg_GGLCsXqXLuF=MibgFiMBSCFRofTUYnOtkgeLAhP_fZWu=Errmddcd\\cf]GFD_VUYG;_uFoGugRDoUqMrwEXdkUF?WDUTTkHLYGuqSLegyuYWkETqE`Wr@cv]oiUOiEkfe[XKyEYIwNyStiRDOyWavCcFcsUc?TxCE[?Tn?SUQckcEPCGdYDhusYWI>EuEgswmsc]uxgWAWcgayN_gGswfSDj]Tu=eYMT]efw;Cx?GOqRMMwagI^qx?=GW]WJuYfMt_iRkqxTsDvaDikHbWYsGDfaEVqhpcSb=YKUfn=wt_sXKc^YENqubwtsAiGEuBwWSmgDcTlISD_b\\aTSkgNAr^wSo_W^EErQbVIffctTYihwtUutq[BPUbssYj[R[?VJObxuIsaIhicyWbvsXPowrWWTqci_d_?S=ito?EI?W]SuFqROKct]u^ycQCgLEsMMHL[fBMy<ohQuHASXFGH@AumAeJuiP]f\\EXYYGEEDIqwZmwq[R>urxcsm]GMkf]KFZcuHWukgS=kdEMRZIXSATZUe@[SU;x@KBjQiPSrt_r=WHR=ujcCEkGc;XusR?IhZ=eH[i;CWsKvIAROmY=wyjYS>cccOcF[CRkhB?R:YiwCeBAF?stUyw[kVA?hTOx\\SEY_D:_xR_wimTEChRocloUAHTY\\XZUm`qRwTQj`k?EmHdotYVdAuk`KRlt\\mYViqAawRAPGTLHxPjApp<vR=PGTKH@OghpeXrSApFTLPXN<YMJpMS`laqMIEtX<XumSpqtm\\MRmj;TKXiugmXkxRRpjCTYiqXAipATul<VslUBMt\\=qiXVUAjblMS@WbEY^tjphoALXfUL@HW=ixZqPoaqVTwxyu\\XrUAsPiqiLuGXvTmmaYYELZY`luYuGVfFH`@q];ItKQ_Nwh^YbRa^<G_OIlUQ`Ioy;GrVIiUw[`QhuqnfhooouOXtN@nTnb@it;pdJpclxapakX@nw>`@A]]_kknxJv[VwfhYfj?vnqy]Nhu`wXyjCfcmFvD^jK>pU@_n`^N``cI\\u^finvNfw;H`@A=@uC\\Y<HrVixTTUpQNUMvXxNmmxlTL`hWUAXjhVGYx=<M_AMx@ypQYoEVqLnQlJXDmJukw@lM]pAlrRTVFRa?xiMs_QXsifECxV]E]wbygyqiVviehUBhwY@yIvyDMkcmYUvitYayokydqSRUW;UWwygryxyUI:yItsi?yWgcEyuyyUIryvy_dZsyIwYs]tqqy_yUwqDyugwyDRQvYAvYiygyy;wiEayoyfRcRYGiMihAkrRSVFGpWPra<QamkklrRrRpsYyyI\\Tb=XbDR=xLp<J:<J:`n\\tN\\tT[<P;;:1:\"\{\}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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination IV (Equation 8.26 from Lecture notes of Thomas Sturm Page 78)</Font></Text-field>MFNWtKUb<ob<R=MDLCdNfZOj:tS>T:dJZTxwJ<HQ[`Nd\\J>\\J>lQ>LP>kFLq\\\\OtHoqTPtXqjDqlvfhwgggfgVh]Oh_gfhWhbwgnww=vqxZc^h?k[Dql@Pt`pqtPJLonpplVdoogZN`q>^Dghf?^l>`lf`Z>`pNamFatF`o>^Jgc=F^sFE<\\C_b;_dr_mfiue^l\\FeUx`tyyqotfh\\r>hjI_RfZ]@kK?hN^k<XnZ_\\FTN[iDkR;Ain=tDKU;UGbeBiObP=tDKS;EGbcB_?cL=TD?S?]ftmcZqYEabFMxLeTyyuTehPmXMsdWCDuqDI]Rfiyy]R>=R>]R>:]X[wyaiiM@kBF<jx]OFLOLDLKDLKZ\\Xoj>oB_b>_b>;Xoj<oB]R>]R>;Wgj;gB]R>]R>ZWgj;gb\\N^\\N>JWej;eR\\LN\\L>BWeb;eR\\KF\\KF\\JneL@dLC@kBF<RneD@cDCbBJK;^Bje:\\Bbe:]:fEZ\\:dEJ\\:c=J>[b=R>jb;N>bb:L>rO:K>nOZK:p?JK:oglqH;eR]mb[UiHOVxSc^MHH?WvCc^MIE_YsocpAX@SVm?fHoWxschoy`CgteTTeIHsgEiByMiGGumsh[]s@?WQWhBOyM?gyAhaaRAAiUeRxkE>=irkYiarvKRAAhXwRv;w?Owl=r[QT[yc`ETYkubarUSHFSueWxJwExsYSwCembpMuIsdEYcrey]sUayrSKyRcutmECAhYCwhIw_mWKmhCoYokrj_cbOw<OEvIITAyIoSQQibwDM?CAWcrmUeMV:UwqCTHqrK[cPGfWqHs]x==y:iyqciE_YJebEec\\_InkeXmeB?cBoUI_i\\grnWF__bI]wD[J;PVOtpAyN[@T>MR;tmrhwDQwyYu?YLBDSBYVQdJXDOFmUmdTiEn]DPeQwRHVQ`sZQmouvLYO>]raapDPjoqPvMTTpqPMUYEsnhNS@laUYgIJkmUqMNXqs\\=N?@jO]w[PkFlnmEmnPT\\Iu^IUY`l`tsYaxbplJ@lIIO`]WIYjoDtsPYSxKi=lKtvtdy`AmnpuudQQEmBUNm=U`aLCdPHeOuQllhSnYoT=Sg\\nfMwqtsIxuByYJULc]n<MvkXmqtvTlxN`xh@u<QVJMlR=s]lXmqpwLjutN]xTEUPw=Qy<RyiWTMxfMt``JdMPyuw>DLKNy?hqLYmDpZ@ixr^dAyiZy]y_i<y`ExZCPcIVdwoj[wqEpfmpk`WqEHn`?fTYoZFnT>yvyxY?yeYxq^a:wjkYry^hn?reQdPxiThdbppeoto@rUpo]hugX^caiG`pwH\\U?\\sqfUfwvx[DYiahvKoZtHwjnyaygUNt?AaNWm?nkZG\\GQi>nDkEn=wi;sIogbEEGqwJcyLIymAXCQHYke=ebEaivYTkEgjeiiMWh_v:=IYuRq]I>eH^eYlEuaydgMfYedCkGQWVoyhOkGQSCHYwj=FV]W\\WuHYFZmYXqDFMWLct`uE]qW@kwUqFHoYNsqxYm?in<qqtYu[PqZEYQatJDLKdyTqU[<obXnUpx<eyixQkix;<TVIKnpjw]l]qURaSAYSUaqk]luYRnLLHiTair:awa<KdlNUYVnMMg\\x@iX>umkuy^MpsILnqQmqoZisS<MHdpMtyYQJQxuEtrUtn`QOmPOhQoYAJ?iJAqsoMp?XoRlxT<WnQuBqqrLR`MjEyMvMNJqXCQPY<m_LktAqApT]XjkuPwIpiHySmP>TrdYLEaqv`WMdyD`tvuM]pS=do;ALOAvCps:duFHs_yjYIx<iWbHVriwIuOAuQrTVFHvraTaXy]uxYaSxQPtYjPLMWHLtIyaPugylKyj=mKoMR>]RnAkUxJOdpl=M[yuy@v;>e=?opXsBnasWvgWbr`u@GaZoZZ?rrI]@YelFaZy[AFvwf\\CgqnW\\q^cHYgTh`]A[Yi[kO`P^y;y[\\othXnyEjCeZMuEUgCkHi=E[uwGOf@mFMYtaOvLgVx;HMgsE?VRyCAyCv=D`SDXoYmSv@cVU?wQYV;WsYkRJwgqqi;WUngFAgW\\cyv]XnUhK]fIiClMy;ygygSGKFfyY_yhNchdKfKQHx;uBOd>]jx\\lUqJOdplLvcySrxZjV^Jx_YGx`vk=Fx\\i]VQkkY\\voyvY[SvlKfkyYxAhiDXooyrEAZrF\\KF\\Ky_\\odIX^tYyQxxHorAifFFlGv^kyxIAx\\XZKF\\KY_tHfJGt:w`ywjIWwBfko^kfipYqZtPnBWi;fmKgrYVjXybt^m@ynuyxH?smG]RhsRYe^N^\\NnYwjk^_\\^]yY[YyuuF^YntFfs^?]yhi[YfaO^\\Nna`yEisp`fnGdhxgux^PAfVnyexaW@p[^iqwjmxul>]TNqGq^Thwx^pSp[R`gjHqv@[AWnBNoIhI=ERgxUAgQYyj]VmACUABFQybwTe?WpeHbqDAKbkaHLGRQIyigI`URNYwO]huQEnUr>SeEyivatMAt[EImkwFoIhQfSeW=aDIYFtAsZEY@agIoVoEigIe[Eb=yE@MHSkY^AYHkxm[W]GugQfYyE=UHF=XrObBoF]?xyKxWKg[gXKeGqIvBuVK[hS;tTiV^YgW]sFmU^SxSyfyCUQQuBuR]?ywYwlWroAfoCThssPwvIaf\\[EqQvfqFFcCWQWScthAEmcEjGi<?caUvjyIkIIcGHeYfWqw]wuiYVfGEjCIv?CAYvBSYgutwef]gXKeWIGV:ARy]idAHTSVnSs_=WeiVfKG<ItMsrjawv;Y]ut^WVm]iuaWxAI<qGMkVWQGTwf@aTt;IAKUu_cpohsIDd=IDgyiWrG;WwqFdiXWCr\\MDaoRsKHnoGTgxt[HimESui_EYVcxlKgGIF`=h:iDFMFUsxY_EyeXQoIfMfTeW\\WIXGBpsDvoUi[TiwExexDaijaSIedgYuWsvoiVUkrFcypeEGqXYSVGub[Mh:qvlYFVsc\\[wtseAuUVuFfUTGGXudvhhKcaYRlkoyYQYqRtsF<UVlU>Tvk]rIqKg<VZmtiMnTaJ\\Hyb\\MRHnYms]@uPAJA]LqEyb\\UAtji]stAWqTmbuXAAtnUJ`Tk=lOy=L[YSyTTYeUYPYueYXhqjQYw@xuiqj]QT]oi`SepQ>UqXuRmelH=mf=XsYjBxR]xkFMy]=ReqPKuoe=xPTpEqXOAM]hUWmnqmJU\\tjMLciqttt:ptgXnVuW]]ocAjGeRrdm?]yfeMoqLuAuXtyJql@mPvMv:hkSljWqNdhWMLl?AQV=JnIXMdt\\eMWeSAHs[yRrDm>]xcPqpIuQYxcUp[ULoQwRlou`O<ployYiPw\\TkElyj]MkAotASqlvDQXpUpptRAApSeRoHuApPm<VTetCDtU]YHpWb=wpTubyxuAwiPw^uYrlkb=UwTuI<P`URnUmO]pGESNTvEQSnmtixOeiXgEUI]RMIW>xXE<tf=k`eqDpVYUrFAP;IvIXNU`Kx@YBiKw=u@eqXaRy]Q=as:\\OptJvHrjLraljmAP@iWNUqTIx@mKuaKtALoQYYTuAql`<q<IXryKH=soiXvixoYv[HUqtkb]xyExsetwItTiTNxTslt^QK\\lyRAjVxsfyqwTogTYDHP=ApWuROUTKxSuySnhyIawuYM]]tMHV>yyvqpH]QdivoyNJqLrUnK]MOdqa]l;hstuObXoXXtilq`pKLyrG]TEiSniPWljCqJQxtI@VJeJn=reiQxxVThXE@qetx[MK`ElIXoYdyELY\\LNthlUhs]duC=kO<\\>>d^>dSxufWt\\V[SftLNvkP_\\w[^`nLQwCAfJYlPg^_naeQhyoxJoctvZu`eFP]LXc>^rggdPGwlWch_pJHc]F^XVxtfoUa`uXh=FeV@uuaqMH\\IHufnqFWb@Wt?`_`Y\\cid\\OvP?^JObLAuSGgkf]BWnJ@lJXudN[Z>jOO\\wXhAi`Qpe[^^pgrfnwRGbTfq;`[tg_cfnvOfoPi>yvXwnUy^_HwchtuOdBFa?QWMdBav^?TBAS\\;VYawq;TRyIXgrn=FGOTDMFXgXTaIL=ef[VJ=xCGYaaURWFgWdaIVqcuWOR<MVkseRyteIuwMDEgrPwyLeHScgQcE_]rsOU@IeS;sv=TL?dWEIrsxJ;ewMTTceUyuNMIs?bRiwXCc^KHL=G^aFMSxfOxUOFpAS?mRIwFruuZOFC?UFMVk?sdsy:=Bu?yPIwIgr^kdc=s^uW_wv_IrGGS;]IeWVooFtssYmvsCwR]S_WdlughGI>;XD]gp;dcQyVgsAMtDIypMsiQHiwC`SyAShRoC^oDmMC:ChAQEUgxaYfP_dLEDkagEIeLCd@qwDWxX_TlCHC;IGYeeiwe_S_EHd?SFIYVwDFqiL_eGQClCd@MrgkV?IGKOTEMYwocNQCkCXiOsmOVpWcUYDJ?Rb[F[?T>MC=WhUKIwmXeEbOIYL]FNAIriwcOhwUs]ail_WiuTEIS:qgBOvH=SgwHKGyvmGMoSCMFpittefKYGOICECenMWL=S>[rwoGMmsF_C`gECAyfwr_iED?iMcCSigPqv]odNMHKCxgWwASYDMYEGcNMRPiioqxUqdc_hlkIkOGPEx^KSLQwG[VJYwBeFMKDuOB;OVOsU`gFaOgIiwsSGB=rd?cOydKOUawFwoT?MT;Sy`uYPufA]Y;?d>OR[CC_TtveYTuLl<O?]rc@O\\akN`nmDmEaYxDlXeOk`WA]sXDsnqxIAxnXTL`Sf<NHUxphMb`sQLPc]n>YVw\\QY@Le]VomQadKCEyfPJbLnbTqsqscDk=PKdiOpINEHknQWsDk?\\mU`Q_qsgqvvijFMU?DS>`QEYW@<KfHKciO`PtCawPYSexYDIkw]qjQYxdVxLwBeNQTLYqnfUy^`PSet?uRsUM\\mx^mxdAvailmxlnHQMDOrxtgUXDMQMpj^\\uaLuW=m?imttTxlJLHXhplmuvHatOUwvPVQtUfdNsPR;MXc@s`pQpTqMLtRiurQV^dkVMR<mMuqnwLpaPY\\TxX`l\\lsWpPdeYghQLXMf\\R^mqdtQJ<ODqulukqxLI=mqanJLpEPfP@e[H^WHr:oZWPm^Q^eXwdoxBOnpxeaOs\\O_=PefWtiHZZnxBgb@Vt=Q]lG^Mqe_gdqQu_NdS>sXintPpHxiXgyrOr\\?^O`bFOf;hwsqptO^UpqIOnnXtbou\\xypasp`wvHqFOaOFs>aiUQy<ydSYaqx_gYyIWesFk?Q^UQaJGhD?fMyaFIcewo:aeSoZpqcGYcdQoeQy?ytQIbEyufpfq`^dWZSp_PN`Yp[^plla_QxxOpkeiksWb\\VmmYgQ`tSYiYN^\\NySauf>orF_rohTFwUq``VnLQpKYuVAtfQmp`^`we?^\\fIpwprxG`Y@s^_tK`s`X`gwlJ_sancIObDgo;`CaT`ce<_bpcEAscNoFASuY]h^kV??GaKEJIW_;F`eF^chGUrwcdXeg^cdLmR<SeUKhmER?ibnQHhETZmDIEVn]tcOepKFusHMuF<OcEGb^aI`Eh@OWACriGinKFeqS`GU<ehcqvyyCTcDc_DpUIOmWCeD\\MvE[V^OTCaW<[W`AuMEB>gXTKWLKUoMwN?T]axtSIWOTu=G`CBawRLcdX_SPKFEGyBMUSss`WR]_bdMXViEXWSaCvVmUUYbYsFOsupqr^kttChhYT`QTE[eC[bWkE@YHmAvpChqGCdkIucEEoc^[weaYxWeauHeSS_;x>=DU]R`ih:?GD=RdSwYyD=CWNOGLMs?oh;kv=YXs?eDaVl;d@QGZCC:]uK?er]exCSOMQjdmEaXNQlFxsvXliuSWes?`XLmsMDRCDlsUWa`qReYLTS_`NOPsBewDYqGYx;erELspioHXxdQpwpS\\eR<lvOMqttJU`W?qlayRkAS[MpWqugQw>HonQWOhv=DlWXwJ<XUirMTsCeoOgqXWcdVqyxohovPpbLQ_W^oiwcBG^_Yl:Oo^flVQ_B?[?OZUXhpFlT?sd>jSOZAg\\q@svxlToZfUfGfD_EiCF\\SdOIImoR^GhqEG@MdmAGUaX@ODLOS__FO=wBaySCWWwWHyyxYRbCDKoUDqiCKDfqr:yvMGdFmRGCSfWBu;XD=F\\YDI]FaccXAS`YCKCeI[fN;UaICu_rDeBCCiwMddgW=;EmIRcUeauC<WRiEhIGSaOF_OSCMDXgWjgyb_yHmFlKwO[rqosAoVY_r<mWkuRDKtbiS^MIY?K_eLNMJPHJeYmWusa`O^Mts\\OalSkiJVPVqiN^@TUmQVAWNpx=lL`uUcelaqmQmsXmt`aw>dLgpMkIQGQvFdn^@Tc=S]HTSqJGqtaYNMYQKmqYpKdlSUDLkXOhEsnqKHQvbtpcTYjmV^ULitUFeVlDMCuoJ<ufyufIKC=rM<lNenoPKFiO^MuD]WPyTvEQc`NvLvH`l^XPS]WpXtTaQbTPE]nkeYeyOmql^\\mDqSZQXQQR@UmZUkS]YAeYnhrp`u<LvFamG@oCera@ksApiUXoeMyamtIxCdmRqVUmqmeKxYSuyWIiWEqMmLWCEoLEl<]WaIRcIVJExPdYyEmDEsmpO=EKcamCmsOiVZew?eXOipwQva]t;Uj_ipy\\oehR`QtDHU?ExNpkUatceRvUw]mjSMVgXw<ir>]RnYvtHUJEXqXjo`Yd<Y]hKILPexnMyv=dMEpS\\ULJAPALWAeMjITHiqCUmwLXRIqSmJAdlmemepTF]saUj`UJCEQ=LXdIrjAVmmQHuJOtveaPuXPammlxSphMTXnZtstXRuMo]\\NueM;=uMMpyXy?`P\\TuHTko<pmUpwtMCUoKQlKinwYxeTjD@p@`nl]xDEvHikEIkUlw_=pbaUjin]DKeYSlau?HR?YM^IrU`JOtURpkgEQjTS^Ax>UkBQnKDUWANbtV=PYg@mO]oatuTUmBEVWxUIimEqupiW`erWPQxHLX`L>ikAMxManZlM_EY=umsLkb\\k^tpxHkptRHPxKinXTYMEXgIolhylXvvmYSqmP`YUPXWDQfasIUSU`q_YQd@ph=Ua<shEmvdy@EunppM<JXiKJUkB@SiUMvqjS]QutWJ`O`dMc]P@TmvdQcdohmmHqq?epUxvODxNlKQPU`yV:Ln>LWAEygmqctKapWfpoCUw<MM[hxsiQhuOPdkJQOIimhXrphWePX\\<q[LN]`uptSR^njOvohwgomWi[dvqgqaPVop`xvIyVXc?ypxvmAygOQkf^noH[>_mtvdifqXxcSiqHPkrO`anujP]Opp;Ht]PipQklox\\q`aw^b@[m`ZdVl]hxaflJqcs^aooaY@[dnoXNfRWfWX\\gIrvwwVgZdvZAF`i@cZWdIh]AnbPXwiWjJy^YN]HY_L>dHNZ[v\\UPcggpwWi\\ad:ghs`cCypxnZa`nHVn<WtgqyIqZsxvoF[RhwL@wgyv=xvqyuhvoYvmngfJGxtqyUYcHXx<VxTqxvy]>f\\qVqrGcYyyL@n\\YpEArEQwdxvqYkivo=ptoIyCaqkF_BxrM?akAnhG^]PcF_ihwk>pmrQb:@kBpihv`U@o?Atqwr^W`;ahMHjn^hNywDAytEjqRkMWBkNZMxaElpaOyqqyYQE`YyAvqUstDPP]JMHt]HxIdWdPqsyYTAYymM]URQIV:<YbqLKetHtxfPNXtX;aXd=QtTu]Uj[@WbpVe@y@<rWtS\\axjUkH<QVmvMYoeiSVilyHJhAPHmKwUvDLreeUwiyghk`AXqyRM\\OPhXTaWBpu?ypaYr\\QRj\\M>YN=qow@kwlYA@yKAVyLO<puOIXx<WJqxHuq@PwWULYiLODVyIk>Emv@xuelOyYvERmhoWaQGypDYZ<OaVGx^^iD>ZVYnSgghakoapTw`RvbRQ[:v[bwdUxrmNiUfgNWu`^jMxn@q_l@rladxH`So`]aksNnCYvkXrVNw`vux^snXnwysTixOA]Jo\\Vv\\iv\\<IdqQxIYy[Ny]y^LQx<vkQhgv`wrveJopgn_Onh:>dN?iIvrcP`Sp`QacYh]XHuUotCVasArSnblabshp?WkByZPgvpIvi_lUPuXQyU`nUXjrXciwr^O`s^yBvoAynlNqrXquajA>ZHAfracWN[rPlS_jNBX;xssYAoxXeUWyRwgiVsBRaVm_E_IWE=HDsydOWTsxAwR]MdX]eP=eZQxt?f:;TVOwKAYamfGUVcWRuCHi]d_UHPEe=kUyIckuYWKGNiXo;wDswIGRqGU^eY@orRkebSEiEhISd?QXp]e;itL;HSmTuCTv?S`sCMIV<OwYuw=UrRUIVuy_wtmIG`;UpcYCcDkaxCGx<aUC]diaIRmE?IVwSYcEIuGXUWVGSFUsXVcyiuRv_c\\=WWqxxERs_YWUfo[sYIviYYm[y[uwCqx:YEVucdWy:oWmWiYquR]GjcgichT[rkeH[EbEYiHUhSkyb=xrswR]UjegHiswAYv]uXeIT?y\\kwxQiA;V?=HtMGwABZURvSE?QhtgyDOxWeYyuEp?GlGtOeVvihHOXqAIAesdiVneEC]fwWIu=YKuygQttsvpqghyiw?wrsGjaVwMxloiyiFXwU@kULuTw_fY]YsUUiwghIwtivdkbAGUUID@]U?Ict[t>sTvOchAhIoVx;ydEYK?cBoIXWe?cDqYbBOIhMH;WhXqRwgiVOURawjeILARs;DHogtutrqb`eYywXlaVvUt\\UunmSFSVyqgHaftudq[gqyejyCiwEcqvxabQKWp?cMWdVuIpWt[EE_ysI;Bf?xdocmWcWWu>ougWfuABZ]eAwu`UbgAwY]DUIIm]HFsraqVrkh;Ix@ggxIi]IhRqtC?HjwHSSxfgc`yvA;v[wcnOYdAIW;SpwhmSxGwSWIsx_tGOxZybBubgKc^=XSYTw=WQGtv]fIcyJiG]uGPYb_iCLUuLcRlQyS;eh[hM;dl[c]oCeaWMCXSgeFkir[TQkdAuf=ui?eymmsEwCyaykmi^_WU_y?]caWFFoVW]fIKffMyr]isGfKyVIgeVwhbWDf=CaSbRuIlCEpwChMePyvQQVusIKgSyOc_iISOBQYFo=GfCR>gyeWEfwwg]tquWvicSqfxGH`MyK=dWkFoUXm[yZWEAyiYMeP=Bh_WYKub]Bg=eAwXiEI=SvGisfoC]aUOeyRSdcIs:oi?QVSeBt_cGis\\ybUyr?[GPStpuEAWirgroaiRIyEgwDor[iUwiyJyw\\aXE=xBEIugXUWVtkCT]gMADHmbqcvjYUqWcEYUJIFdiwi=BhItFWIH]tMmHbGugMYXkbwiw^;WQKhvCyNOWaIvLoIuOwtmCeiSveB:;IjAUoIVlyW=WIIcutKiuUIkCrYgc=IC:;y@OYsWYN[ycwTuATMGtwwbXsGhyiW=UaauTihwyhUixMueK?gEqYx]hiyynwDNGbQ_tOuHeyDykuPYivYsACVIsUxyDxuWVct[qWd[EBmdMyVYkvKCDKygaqVmwIUaUp;BeqE<aC]IEjQvPsVVyrjetpkIoqv]WROEV?yVvuBjiWv[bHWxmwGXerO_RxkT@yyqyvq;vuyFvqyYwy@Oiicb\\EII?wMUTfiekSwquTWKuaiu:ycuWRv;BJMb?]xEIrEKIHuWrSGkiGGSibYJe]LOqy[isrIK`xTrlsI@lAtWPpKELrCAPfxYwIkiyKY@ThXWBxnWTmoqVOaQdqjOlVvurwYra]leYV^TpUyP=Pw_qOVEslIsSemYQrpiK;IM@XrSlKaXsodoh=LhIvRaq;Qx]HYcEupDuVUQOqwFdyteL_QWUTPElXh]SXUP\\QYSTkdyjEtY[YP:xjSQPZ<XGiNMqj=iSeUxrISl@ROeM:yuYEJVyOmiSJIpTusl`qctiv^ku@]]NqCnZgxto@u:^i;^sHVuEVslH[pvtHWjbxkKaoPFdhOgj@m`?eYQZxvwDaeJq[go\\s?rl^kwggUixPVyrGnqfqXxkjHi[Pu;xcYAZbYsSajiPaOvgRqvR`q;?iOxakyx=RUmigyXKuhGuE\\wyO;BVASqSeBuISyDlcUymiiGIauTwcrPIHVkYWqw^IhwAeN=yO=vYwe:[IFGtYSBKiuFevDUFgYG\\yEYoEjuufKfcwBKcUY;wj_clAuIWibWViUdyOSyiwawIHydNGbQ_lXAoY]WEpvKpOtIxUylA\\uyEyMtywywG]L]eRNUkkYvSxoC@kbylqUpqdLWLoQltGyYWYVv\\tXmqKimaxs@YTimQRaMUYmLey>YlyxVm@NRew\\HLmMVwIR;yxIuq]yqxis;tYtHkkYPhQJoHvpiLkXwyTLq<PUuYx@WR@VsDy><yZyuUtuUiuDpQUeufU]MXv<Xvn`q<Ijx?kv>iu`hRPjC_bgYsyxaQWwuvg``[K__pInXi`K_ewOmtinTguxhfmPq;OcX^uZfq_vbrN[IQwMotxGqx_x`YkkPyN@ekabKnhvhhdqg[qb_WuRVnSxk<YwDVnrVdkwtfQnWokYfitixh`gH>uPi\\dnkYQcwOspUoIvCQxZAXskHyUwuug<UyKcCiOUgwWGYDYwGHqTY?uTEDHoetavyQY@ot?EHhybEye?AuKoRwWu@eIgoWT\\xLtWyeQIUp[Um_qmKIRrUspffaIZFIkqXrIQmgXtbXrj`mxWcewyYIqqh^YYjHfiphyuIxr_nGnkGgb_XbyNa;q`>Wtexphx]t@_PipGy_wQgWNijfkjqe:nvQGwyhy<vrsQnl>xvQqdistir`v_liw`NdXhxu`sqAylyvyWvYi]dNvOIvgWyq`b>_x=YqS?dKnuZ^quVb:n[UiyQx`tVa]AjWymRVfgwshAydv\\Fhplg]ANrOI^@ikN^iPicbG\\Ypiyycbpu^NuQo[?Qnioam@arauqQdepyAYjp^qtYl\\x]Cqnmxiynj`hqMO^xNcX^qSOav@c`vlY^g[YcSVw[_pnqfXfvS?]SAqQFtoy^kweeAopIZ:Abq`e?a_R`awIoyYek_nKg_A>f?>xjIaE@gpwnHH`@@_`Yur?p@>dfp^ynd:fwTv_fVutw`I@n=gbnpg=ieqxktOarh]=Xw]FuCysDhrpgxRYc`hmaH`Igk?hfTailVqunhZ>ZR@\\fntKPhebiAymkE?qSF=BmovWKgYeDrSDO]D=wGwCc@kb_AHVmgZKsBMfWyW\\SEpeiXYulDSiEYwtMIur`TYT`WrPyXpyGUuVhmnPuh@YuUtJyTOetFLummQUeYQUq]mYIqSFhss=pnqvGLqMYv@TU<HW>uT]ELymOipMNIMW]leARrdY\\iKwxU^xypYtYtvEPs:YxeQoqdwQTu<@Opyrbav<=piXMKYyi<ymyqw@T]xrIlXC@kbytoUqZPnc<k^=Yuqo\\YRq`qQASxTk]uVJIwkuykIxxmXXPpUiMiHXmpV<XNV]RQUM]hlEDrspma=vEyMBprexTGLLxhMe<wsTvBawFlLyipGpopaxTTwCqVx]PUIPtpjbmXi<QImre\\k_xxKMxZiKMIvDpNQuWviY=eqTij;dKOaYMlp^mL[UsliW@iVKmy@PYshK=uW]@UqDNT`qZYL`xT`QkqHPfiLJLpy<vmyWx=QVmY>Xn[=yOAPTpo\\LY]qPLxsVllZiyw`ofUwWaPvHryirYQqQdr`ExrMjRxk>AuxhT_AxY@mjQvClKQXVM<ONqrIxqoDVRlrdYx\\UPVUQieO<<JflYNTy=]PLlWRxqwijyQXs<vGlRKdKd@x`eX>YM]]KEyN`DkrPk;HVXyKiyQxQrqtRTdxd]x]mJtuY@tWleQYPpmqRUPwwpYr@kqlWmmt;MK?exYmQ\\es`]OtxJnUuwYKtyLapulYYilLr\\MeyNZyuk\\Y\\In>HpsDRamrY]PsIlHuwx<om<nqXsbUuL@SuukPly?Myiuq:IXx`pF\\QmpotUyxEpGlyfULTpt;EN\\qUGHrtAjiuyFXNT]Y?IMkAkB@wAPXu@n\\\\SBlVMAXixwnqMxDNYxq^Hnw\\Vfum>IQvAxipQOarqqOThyAmTMqrexn`mTrYrqXMoisbuMFQobMXZ<mgMVrlo[LpDUuwyuo]pi@wjTqNutdXTjAjxUxj=XiYKPyxhxkiYKDHyaltQYmBmREyTF<rxIXR`UhhtUtVI<yu@yNIPb=o@UvbxUyDjYYvx<RX\\qsMQVDT^tTMxTvuoQHthuvK]MuIlGuoPhPsIlVeY]dywHU@epT]bgi@KUhWVbURbQWHceKAE=qVKsXqeVnsrTKIVeyeKP:<L:`N\\@NdXoC=Yy=xQuqXxUphPNUtyxOa]kOUrUHV=tQfHxJLu=<JRILnyUVLsRAprYjU@VGYRqHkxYNaLWppmL`TkYNvMOITMtlrmTM\\hp;lN]qPDIyfLxoqQnHXUDyjXv_IjnIUWDuuxsr=JZuK@uug]SLyU@YWYusaDWUHuihQ[yVFAjtqlgmkkpmkxtF@VNyYs=TLIn<eUwTRxxoaITOqMWIK@irbLtQ`J:mu>HKXApqUxJMVRaWyLxJMV@dSUmSTXJo\\KyImEHwDxn[YUy<oeltKuOqHvr<mZhVm`wiLtyUycykmqL_=vSdXOYUoYkuIyfLuuxLGqvAMqx\\rrhlTeuaiQZYXoHsqhLC@kB<rGUjD@JVEWNuwvTmHQuqxQ\\@SXULgUj@pVLYKimXWYkPElHuoqxxGdsdIyHHsrxuYmKVywHUNuUsIUmFHPdhs]IUOdSH@OdhvRQWVDseqm<YUvIVbXoM`XYas]`oWHuoImoiWxAPVYoyxqwIlvtuSuP@@O@XpjLlCyTtHlWqmayJ]Iwa`sQusBlo@HLVuuVeYsXRvtQvTpIdMWaXNDYUMMkurOXyrMQKtwYxJimmHhmSuQiYmBxRe@RnTqqIWmxPS`U`IpuyqJpspInxPUXLqHAqTlRjPw?epShjYiv:Xr_PRoeq\\anEtWfIu_UUiYnwpqu@QolPTiP]inwHjkUqGxo:\\LIMy>YuvtLj]RKpKfpupLqiUntmpWHm[xqtDPpAy[Ay`=JnqOLqy^\\pnUL_AoDtj=iJOeT[Aq_AyfXrhLyeHkqlSGAPtavrHYnEqq@qXxScyPKiqA<VHDNwao@DwgQuVTnYqU`iSu]MSYn<IxRtO<YmcElyDNU`OYhMYMYPacnpo\\fiOqxYwl_^qxafS>ibqdIyZW_kxNq=?ZjV^Nhi^_eTWeNFwZQxv_iio^KpwuGlxV`xAxA_wyHwQ^hZwogyqwHskoqpgtspa?w^YQnvGfS>ihgeoqbwQf=Wg]pinnt]>fEn\\KgeyHmuOhPih=V`GWvRXk>_by@mUqZOFf<PmgXntpi?x[YAxa?uI`fw_yn?rc_eAOueibl_]Ag`yhqEah^VsBwoXwivqdyXawIcoHtAGqviZJ_mBalMybIwjGxntWbI_ujWgoQ`H_pg@`s`t_w^Mqw?xtkxyUpaUwoZ_]qorVFdVigt_pYHlGvnk_tYQtd@_qxwQyy;Hvhwg?i\\?o`npyvwvenyBNiKf_pHngo\\KInoXkBPiwAsUowJ_aUImyOgJPxa>mf>uF?suXySpl[Hfr^eW>tHIqwvhWnpyyyjaesGlHQypvgooixyey^qkQ_tYu=fjxng\\v]PG\\fOqJ_sYWarqq;fuRwsuPo]arwqa:XU=XiMHDWhaaykiVhUdHgFE=HsGEAKwXATKosX[eusTNCXIQxIyBVMH;UckWXxqS^IYZQb:qdkgCHyeDKTISxBoFyQb`wck[wIGHMyWY;Gm[CfmV\\iIQ=QTmpQUwwTyrtmUmpquNkdyLeRsuxOiQ]]k`iUkUPcqs]yPJxOfXLpqPoPmsqxbyyqH\\vQZbng^XsAXvYO]Uyco`[]IlUV\\UNn?aavWsBAaTxhaouRA]QGdfya:nxRNsAgx=pk`_aFxuy@wJyrw_[oHuOxmCheRptWH`lqqqVouwgoX]TW]qgrhQ_II]avoGIqtGgqf]UQi]ahXYueXiI__jq\\uAuGYwaXZcpZFhcw_iTpqsalwatHoetgaiH`=Iwipfa?oXidki[`?ylirgac:ybXv_awpfXwIYtJwsQIxWGh\\fdyf`E`wHgyp_dYVmJ^s`v`YonVyywy[rYjc_tAXpgi`Xh[KwcuIn@wjBn\\iqx=nbQ`dlVawQZwaulyc^Gqm`c;_vEHn_Yb[yjI?sYimxQo`odiVnsw[RWb__lYf[DPeJ^cAGfA>jAxZRpk`>gSIx\\pyUinoYv?^gUI`rfp[qcYbGChSWSjiFwyhUgxMusRisMwVHirEQyxqDRaGeIXHorUwhIGB=Sv[AE@YcDArEMwdWUoYcYOWeyVbmdIui?YwRec=;VpqEHCeZGfTkXZyyxYwyOr`QSXex?sDKCDwAv^iTFifQ=KaPJ;<^?_oX@m^QgWF]Gw\\UhnPVxC`[Tg^CabVQfO_o\\Ico`flOgmWt@`rVPk:>\\mx^_fmcqwIX\\c_rfQZ?I_kprchpQNtD@mqFwB^d`yrchOCTj_SeOveCshqvQccJ?GJ]rS?WCIvTWd<wRN;U_pPw<y_mOo@ttumJtScAxqELSxX^dvPmPEArdIlBmn^dlDeRDDmB@qgqMC<YpmYQ]s\\ax_\\Vm=kMqj>awutqiXtimPimk?awEIsZEXrXvC`LpTuO]NJEQKppEhwXtn\\lsBmSDenV`rvmQCeXPXQX^wVXeIGv>ixW@ccw^wnq]`xF_nLNpXf]a^\\m@mQIyEQ]LPsbAw:wmp@gC_stpu`heLgqAopkQnv>_lvg>_rvpcuIbXVq`GmQpn]wtZVvVogaNtrNsUQ^\\VtDxcNxbxwum@wfamEwn^oZappqhsEnvBWcHXp`GbvVw]y`A`nk?pMIig^pSwiyym\\NkSa_PWoW_mhwk>NfsFoGpmFGxcXjJpc<qqSqouv`tFpFYt_Wy_xrsaqlhaOPe:aqMoaVP\\Bh^^n\\kIkMQwN@e_`^KhxoI`uh^LPcB?_NXl_ifthfW@`J`kmWm`WoiV^gHsHObahaCIyFQZRi^lO_IpseO\\lvoQyxBGv>Q^uWkqOd\\I`iPwY@e]wqxGmhPwRWysPy[wagXiaQekVkSagOVoWI_hwe>Od_pskGiv``gXioa[>Gpua^P@cB_^Za\\eha^fjDObVXwYam[Fc^N^L>snotuFlT?fwggFQ\\cgmrnkcGcvWwt@tV>lTIkfxaDIqqVyqo]Onsq@uA@s^`vSayho[OqcNI_wFcSytaIswOvvo_^h\\Uqp?ns]PxsQreIi;pcFaqmg]=OdbacqhvuG`OpdDY^D^\\kwntv^HxwDQhpQntpiqpmlXcbP`RycIQf^fpRXdNfrgFkPImn_wWWxB``HPp?Qb@fZYqpGQaOq`YXcYA^mHsmAhaavrpnW?caFfw_`yFs\\H^KhhsYd<w^mav]qlcyphosKAgipoXxxlOvmv_eQuXibUq]Cosw`uPOvkpq>@smYyiwdPykIPen_^kXtyI[^OcLO_^`^ZIkCWfOh^X_uyWipwaoQZuHiBQmJpsC`ysQlxxqB@s^`vUqnMi]MPb_`^s@kAOZsHrdvovvpF^qnpotogy@ylQabGexaoLFoWnnwOqfXeFqacf]P^ucGgUyp;P^[XvDWjB@kxOdi`\\N_eSx[^PlDFkaabaPfMAjTguLNcN^noadJ?gkNlTO_Zncm^ZDhevGlR`r\\G^kAugPvF^n^ph\\gy?An\\FoBXiOIgVwhHhmL>k__npN\\KHiIOcC@tlWmuf[[X`J@l<QoAvqb_j>QgqWkUIgOVqu^^C`c;Oc_Prl>\\dgxBOnpXuKf]CW^QPlR?rsx]vAD?y\\CGCih`sRayfNSxfyfI;DmWH\\cf;aUTEHmQXWAU@MGWGskiSDah]cbBWyrWR]exBMfLYIRmYdce<]S<kSmIRa[rdkeBMRlcf=ivi[HdCcIaiywwNUWdKHgEShkDRICfsGIigWyDM_TgEuMCEOQTLSxSycIiTf_XJIcY?SeSXrgg_Qh;_TGmgHwEGOELWSW?IQkVa_B\\EGCaDHaBqweKwBagg<_f\\kIkwetsCsgVJ[vLgVXMeHWd`cFkAGaWB:OF\\KHi=SBaWQ_rkuWwux:cfJOcC=sgmIDYb[_rd_eGUIaKsSGUVIf>QgF]S_WTB=SZAfX?HuWRL?uEydMCW_mCIYtSwYDWTLcgEUH@aUtef_EiWYGEUwlGTU;s\\QdlgYmWvNWGEqxtee@_Fpqg=OFpARDME]gbB_G^WdTqBFEVI;Sc=HsebtCVaqVCIeJOScKFHeJPunA]QhUobToA\\SOHr;qlQTJcdN<MvppMnhLPup>PLcDOVltWXqepSTMlEdOIil\\uxB=OPTU?TTgQvE]T^AXQUq`YjL`RHTxhImymVYEWS\\yrmRTuvW`sd<ysXXHxPcOlVqs=n^ex_afqsQb@fpV`^<wZs?rdIlBO_q`_]Yk;`dlF`C>aINxMX`^FkFgc@VkoW]bIuiV`DhevGpN`\\TWvqNuAobLv^dy`a?^pHq[o]OQ`LVxSwxDql\\wxC__OGehYfNWlNIfs?eohkuxxeystpmQ?u@f\\wNlchv^>fQ_rfwhExr]a\\ePpFWhdp`t>iJ@x<ppqi^ogy\\_^G`e^sy_spEXu]Y\\YxrgrhmhDWILWuI;yigcTKdC]R>YNres=LLEeLHLjUXKSdtLMvuLw]IO\\aKW@uxap_djF]wZEy_mUBaolQr^hTJ`T^AnY]nRuTsIW\\LNMDW_qkIynSiMSavCYWFUQ?DksmlsusdqKB]NPTlB=rglTuxR\\ejeQjIYtLxSFyN=`natXvEYWty<PykIPMPUB]wuuvjlNoHs\\qpwypaap_ukRxxDMlC]j>iW?IroyKC]OMEucXlXmtqyUXxxX`VvlvwXvE\\vHTtveVS<UYtrEXgQaxExoiXjtF[u@uWqgkOugPvH^r^fleFcc@lK@mAQ_PwhFOcaV[TAblVwpPrfYlDav<X[D_b>wa?xy]N^<x`jpi?yipVm;wj?n`Uh[pvjENoEqh_y^ePanHvRNuFwZfn`r^ed^]iHaNwk[XrjFePHgnnfRv[AAtn?rlaonxmUyj@HvJWrfAfuPqpnj[Wh;qxNqcng[=IvRV`R?vj?qZAhRoupolXWb=wqunj[Gh:iN[fqIuuItkkEHsHayuoqW]EwwGXX[Yo_XR;t@OEfMgeaWxEt@WRR]ToYbFGUb=VRmc]SIFOfRoX:uegSwMGehWrJiCRXRYHwRHW]]xuxmjitKXrb=mwmraEjY<sOiVUArf]Q>AUm<VkEY[pwGUPfXReyxklPf=TwPwedlMINlpoyuriuU;<Qm<MFXxJexkLy=eWSuwu\\t=`PWAlkTUXXOWAjCqv:PwlEvCInnqVg]n]iVrlwlAx]UmY`XWAUxMaQI`Mi`FXyW_hy@]Bv``?oAxmSpyoWy[?mZQdwXy_gtRHfRy]<wpr@vOwu\\O`KxmNY_Ywsh_u<xyrYxX>jIfncw\\CWsfgt`FmhWua>alQptpuRhkknt`WslHxdfwnQqXIt;Vm=n_QY_pYZXGkkV]]?aPAnUv_rpl@A]=gs;RWEh`YIqyuFGuJcy[aCjGgjQgigdyExhyrsaYtkrwqInSrl]UiuwsOhF[udogtefxEh[Ww:gVsecFcU=AYrkj[Ej=eT[QYfArFdKWG`fNgJNwOYpNG\\KFtIPwGQjD`b>wsaXnUpx]^uHNnu^s=gil>eNgbJgg]FaeX^vq^cYn_X\\;grqqcLI]@AqD@pyV[MGhBpfnIoux]=fynPk^hoCHfpyjHVdyapXQvto]?f\\sWtF_bQOfUYb>sIqvYmuuCB>]RIEtdGT>wYyQBQEfsaX:ED:[Gp;uVkcmYhoMtigsbYFU[yi]yg]rJQCYMDSKH;qvjGr[UVNCw=MvoaF\\wE;SwdKF\\KyCcurmxaMF\\WUMAtfkyGWY:ShkoX;aGYoB@grvkVkavAgYEmcXydKiG\\OyG;b[GRuCIEww;cgH_WMibn=x]]C>;RuAYwCcbyR:QiD?cBoY@]CdKDKyBaEbGqf:;BxgyKkbyCU@uXfwEikVb=EpWsBMyO]Fo_GdGSAYu`Sd:;EjktKuU=AiZ;BvqIFmhOAiMuCY?dpyBKgWHCHuKSfGBw]u?eIYcbT[g<yUfKrIYytwCcighwv`sW=uusYeB?wl[Wu=cB?wa]rkcDC?w]YtdActYvryvqwbgyyM]gjWuf;HS_CbQyFsuywI:EhA;dhkdkuD`aVQsw<UG=ywtyBxcI:;Tv=GGWirAekgUWcyf=D;yuxSvxUxyaDRggp;ufkFRkbHcYpiEqyC`=i]EYNWcC=YsUTqIbwgroauSsGNkV>OETKe[mVDKFtoBUqE\\KnmIVJElBpYFlj@pWo@kleqIHn`HRUhYA\\SP=ufmKbpUyLjKAQ\\HRQyJSHotyL]xxK]SYInTqw\\uw_LTEXKxuqDtRjdkl]y]iYFpoITmbtle@WpyrJaPGtuG<rfEp;IvlQrYlK]LMGTruYnGUVuYKuemeIQ=UQYpRkPu?uTUIsVqNU\\TixLhdPDXqv=m]ypLDt?AupALKvmCVjD`b>_b>;LqDtrN]N\\LN\\L>rO=EN]F\\KF\\K>no<eB]R>]R>ZWgj;gb\\N^\\N>JWej;eR\\BKZnc;eR\\KF\\KF\\JneL@dLC@kBF<RneD@LLKDLKD<Nne@`b@c>_BC<vDZB<tDjB:u<bBZt<^BJt:>KBt:@;FT:?;DDZ>;X?J>;W?R>ZW;N>JW;L>BW:\\B>W:]:@GZ\\:??J\\:i<B\\Zh<F<jh:D<bh:C<^H:K>\\HZK:]@JKZ\\<BKZQ;>KJQ;@;RQ:?;NQZ>;LAZB<KAjBZK=bBJK_yEYia>jBpikOiQFybO]OImEFwdg\\CgtnYgaXjx?g@ptAWqUybyxa>asjFr`PyK^[AHvq?`yfqefiFphmHktgiFvisPkrXvSVmbyvKvcPGnsNlbvtMAxlQlLIa@pj[Aey`isWk=No=QxtGw[NnYPk[hhKggU>[aVjjhexP\\ths`NuWifyar\\Qd[y[AG\\pGphI^\\xLycB?suuF<?cxeUmOhQsyqyEYGB:KSZobSUIDwxbquv]dn=tIKsJAtFuRKsy]YHhycx]h<ydeMfSgxlsSwGhkeHH_XkgchydiAY:;BrGdUcCKgXWUi_GEDqyyYcy]Y<;B?kiDobh]y\\YUsKy?acmoGvYuiuUikUXqedIReKYYEH?]RnYHj[hhKsqEU^yyvaciqwVkR=aGhCWHah`MDKAyY;EuKVrWiEWreUBnoVXCu\\uD`?XScsd]EhkIbSF\\wV\\yvIaRnqgfkGOkxOyuHctoqW;udIOdHKyKCWbobw?yIQi;?V`_bDUf?oRg_bF]s=SG:;vukIwyWJCxtawWWtsYwkere?WqUuBUYNwDhEs<sdeeU==uZOxGqCtsrbYfRuiv;fB;UK[Cm;fB]RaIETuD_AiQkcyeyI[yIyeYGxwQcoexp]ExyyvYBYgWC[HugT^Wrx=YwoY>Uxg]XEqYFqysyujqBE?EyOUdIcbyVAyHOCcbiuGqbg]xouBvqyqiC`iYN_XJTkPmx=YUoQnXqs=yYJHX`esr\\qyIyalq;<ju@jCAPGtru\\nkyTQySu<xyqyxiKIyYMEL:\\XFTuW]sVlY>tQN=TKArj=Q=PotlusUM><J@UQDTUrxKyiUXDwZPKUhr>XTi<JSLYMDSiyyZYl_DjHpT@xmiEKKdqddYVaRotu@hvh`yfHNjluGaWsIomPMnYrkTq=xyYyY=yL:<q^iS?IUWDVoyqjytqUP\\dKGdxjIVUiP@mUwyPvywQ<rSHw[=mqqmfxoB@kXTrqdLC@wWIuNAN<yMZ<lqITLIRi`RiYnThs\\TmgxuhIkvHtAEphARoaR:EL:\\W[aQlpqOYUlUvxtu><y[HUZpJ=yMf<nr`KVujiqjjlusU=GEdir[KboqITGub[ydWChsb=kcMsyfMUQSrA;rT[cl]YHyfFSwBqVm?sPUyrOV^OS\\;B@[hpEDCtJfuypymrymyTyJyYnPkHqvA]QX\\jdUP;Qn@DnTuOYeXR]q=yUYIJRUrBmJIepWmO>Ylx<_vg_`GDIR?CDwSB=Oc>@wQAnqITxiwq\\yP]o]=YeXmDHmHtWx@kMhYo=J:hKdPqTTYIQV[YM:\\XUUvlLnkyY\\iRqIjq@u@dOSTPRDrlLs[yn@YuNItgpXkuKeLjKmqS\\xNTVVeRkypYAxUEm;xWt@l[HnUmS]<wl@vYuyyxy;yMY`XrLRS\\t@dU^xmoqntyrkEXwEVnHlitOAPVjTy=yVYlURay;ivUqkItmJ]OlItaDLWuk;eR\\rmEI<?ctuEuUXGAbxSUxWU]eC@ErKWtbqVnqILIvnkIWssF[xpWuZgGMOc^MuyaxUqwtuDOqww;VHKFDywXGchmrRgxKeSAGvlgyeky]yEyWviyg`;i]CInkRTkrGaI\\OwAQqsYWlLuO]pQeXuXsepmIlRt`Tbpv_ymYUmOmYKER>uTuylqqS:DLWMr:ptgMnXutZiO`ul]uOSTVnXo_]tU?m;qZo^m>OahijgwgWPaDixpnrTp[Rad>XtS_rYVwJG]m^xUihnRYSVGub[Mh:qvlYFVsc\\[YrIsYagIOYm=YlYT^sbykcZgWFOYwAvMeFEOcb]x>aCrorFSrpeEOeS?mIgyISIxKyrg]HegSRCtlKdd;BbAEpSgbstu?tnUDfMWRCwf]DuwbawcUAgQUwbqca=t[Abyke@MIfQIYIht]GWscVswKScD?XnuxT]WL]bkUiGowjwcxuYFcu^UbEyE?]IT[rSyGdchpKxqeTFgWK]uWib[AybwxYob;;eXCSVGf=ub?kdIOexyt\\]XKuwXYRkmFJeGXosUyFPMb;Wt]AhgsYPIfUkDRmYbYY]SBTUiDOXmWckas:Gs\\AbdyC];woCRAWCxiT;?tAgSNYyuwwJIUZob]?xhOCQGHfMfTyuyurHavDSFhyYdiSkSBmoYMctdUEweW@;uV=xAWdBwbY?ExARYKfSeg<UXWIFwmxoata]dmisdWVnWug]XugYFwV:grp_IiCtjwDpguFCfoGdHoRkYyQivVotIKUMcvlaWSwVFMG<IxMexIIbaaW=AtJiWpCtfux[gsn=r^UbGiv?=ITcRjItpgVFOyWmEGeU?MxhccasGIySHuwPEtwwBFIdbib]EGxQCoMBWucsQVgmHfWfRws]_yIyGRmrKasjuRl?iuWS][yEoSe]IfuXQuv<Eb=IxRefeQbdABxay<;veuEWIEZQy?YwbMFtOdJCtAgHgad^SDE;cMagB;B;[YLEei[VLASCwrDgtyYuxYh@MElcDKCen[F_YhD;fBOfbSIEAI_CtSweVytvwdM?bWED?ieJOUiMFmIyVmFWOd>]wJ;rdCbLASPSYe]G^mIcAS[[VWYuxMgoCdsQVsYyn=TJse<Cb\\adBmg`ceKqwxwvlCwN]FMSxCgUSegiYgBqUdqFgCG^OF\\YXTwTUyT^KtT=s\\]TK?eUaYn]yDWH[ces?cfkRLUSrgrF[EVsi\\Hm;Irk]UJpKKDlXMRf@jReu[Dk_LTLPSgqyEHkiuvt=u]eo]hxQHWpPkm<LM`Th@N?`U<otAifpAc`avoGmDGsqhcyXaqNasgwXirvO^wpb?OhC@kramPGdZo\\Ionm_iVYov@o:NZ?i_sHru`npGgL?\\I>^JObLWevfqrYsGinM@hDhtMHlHaxkiv@gm@`llF[CFiVPfP?^PAb;oZAHgV_[^P\\Uove?rfnqLavoQlxQo@OdCFu?Gh@_nNYmBaik@lcAo_Fq:hx>oaYXs^xdL@t``iSi^OYuwIidVnXWcDF\\uqnV@m]gm]hapQdeyuWQlU^k^P\\ko_mav[g]dYsCwwZV\\inv]FgOOhLV[rvdaq]\\Y_WpqZxsevvEYvfi\\<OvnVu?ylbFc]XtMHbihpcxeOViBOcU`[kvlHG^[FpRxcfYwnXuwO\\EhrPxyLg`sOq`@qpW]EF]OQ\\\\Ipdr=CGc_htMHR[x^PlTetwMkRYRsDQq=Y]`muUUIuJdLxbEXrIwGinKLPE<VP@SeaU?]xehtCtkU]t<TslQwcdylIYAHy\\utVmJG`m>]QPimtauflwBERTUlqDW^yu;uRLTg[XaqAcWwaOPliacuHi^o_o@rtGee`mbObCdAEHb?SnIbGyF]CeFOEL?XhUbpEbBwSvCdV_HtUf_=xhmIJOT:QicAI>QS?CCsgYLTMfMJvTx;ES<tkoMR`hLC<mQhmC`RauyahRelNP=RZ@Y^@PsDlBir:MXheVMIMC]XpMQlUjF@QOTq>QUalwntRgDOOMOL=ksxpWHr=AVXaY\\TnCARdTm:Hj\\lwJ=SvlqR`lTUJS`s?]R`QtEIYptPuqwNeRllQq`JleOSarjtvwDssmTqlxDxSdTteTt[LNLIkChuM=lMxnZxlLtv`qrvlNAujuLOC=rfmLYEvZ<Pu@wCMrxPUIExBEvbQrF`NaquClTxlue\\YMUx;URdepT`TDDOC<uOhSamQjXYlunGDkfiJyhmLHyOMjDXkK`t\\mSK=VPtXf@NWxrh=X`hQc]tTLTe`v^DvUqJcioKprHmQVDSCypU<SQmYRYM?IS;YND\\wuiX?@kBQnaDOaPNHYLS`VU\\LvTXm]PDIkuQnZPnW]YxTqReuKDsNPWLAWNanNHKCXTSqvMUpi@pMuRh\\VNAOCenL=l>qs=`kMHR?yVQXxs``VPnbngCg]@gv`hn_YjS>bZgkCqucVeNa^nPyGG[o^vSGetQrg_kDoakvwx>qTYc]Wc\\Wo]YdfI`cgmrf`UYxIFrSPinylkvgB?sFFjsN^GXha^yQVOwfj;grOrvEhnsECUgJSDYgYqIfkgTvChYGIR?ipEWJEhaCgoUi=shvcxFMiOCuXWs:evVYriKF\\WtR[T^Ky;[Wi=sNWvUkTKCdKmWU[tlSy^?HtkwNeCpSurkCHkSEmiwwH;sCx]U@KV:CxWWwb]clMvXuuROYPuH^Yc;_vVqVkmftscYawHYWL;YfiC;EDKoT^UDn[h@OWAyH^WcWoSP[gLKgWcG[ScP]WogC_aXAGwc_XnOVLKIO;SR]x^chCKyXOCZoc^?vK]BHacVtSUqmu=ksLttLQQUxXER\\lMq@Y\\tf?^xhqvghgJarX@e?na`NdC>u?YlcAsnGpJHwbx^wHtuv]:Y]>f<ahachV]RVqv=whZaDa_FTsdVqCIefpGYuyXuUFj;ss]rX;GBAVx?d?aXZci;avsER^wXqCd<wVS;VxcXMWHigb>IY\\KWrgYMiwF=TkMULsu?ER?=cwaRZ]Wk;GBwWmesNgyZAytEe@=WmAv[AIb?yvQXxcg>[rF[eFkfhyig_WQ_thQFieDN]E^md;uT?yFamUJad?uFkGY]ItV;gW?CvkX^SDltpilpmqr_yocmuBDkS<Lm]vLYWpYpQIKIUVJExNxUitUflNWDO_LJUyoD=J;PVOtSf`xrYjuxmDin;erP`rpdWTImQPJpupTTu@LnwtSg\\S>]X:XLo@LwAJfTm;apV<xtySFHKbAT[POexqWEvMXvAAQNixnuX]]KIlR[mpr`TRIJ:ET[iQV\\pIapWtoAumWHmY\\tOpRoqsGdJ:YraaOLhv[LqSAOhakrLosyN@Ilm@UXpMNqunhmottK\\x=IXnYqDtwtAxNdLKAxKQLjDqNittuKRtKoXwMIn`HXq]P]xn;pYplkYylMXw;QMeTnr=PHQmKqs]tysIJPuYRLwChsTaqX=QQuYYyXeAwYlNEYm@eqy\\Rypm?xy]pkE`VCLNY]K;aK:tudAOqeXbet^lwjujtmuITmCaJUXsEtw]XJDIMJQu?]rmhsEqrg`yJ`XFTq=]sFMO\\HxRLRhUwpynAxorYNTlrMYLeLuJdOXIra@J:yLNXsw=M]aQLhVALkoaPNUkClNUPKiPwrDTh`KbewlLpkAPvqUiLjKaNlhtxyJUhtQurlmuTxobpLuxRQQuL\\k\\<ydXrYEQKds@xk@QKnDoc]TiaQRmT]xKrYqr]QReqcIlSYqYhjJhpA=J:<L:`N\\@NdhUHikhLpSyqkuKILdavt>_qR_b>Yv>Xalwj^YmIQedXnxwd@ytA>ZXA_Hicd_glyfKpxfvyxxyuVkvIf?ofmY^Yaw]?ugP^cpyTXvUh_gxfwo`=y]w`hFhtQ`tCVauo]qFlIxvKiq;IdJybjQjvGfFAtgpfK`k@FvoQyKnkaGdhqsx>yFQutNmCA^xIxAyurqx:>bkPrQ@_[Xnc?wQWljyiRIZaxuIHpmGbYV]lQyjGZ=AyRIa;@kxn]H_t<_xm>`Spl=Fhyway@k?QfSoZwAf:wtG>faXmcOxQF`Xp^[HmVvbMF[bYvkqv@yeYhmeAgR@n`XoBwtw@ygYs=na_hqBNr?`hyv[ii^waaM>jAX[PXi^WZPVklAy@oh<pjtpi`^goAet^gdIdj@rbyfKvu@_\\Kg_@vk<VlwqfuGiSOw[?uTxnp^gfWZevuAA]d?jYIhpA_x^_E?`G@poy_vIywq]gYqbnfmVZSqgvAAsEk;foUsrWs`IxayviAbi_bvYXMCfIAfcyvuSr@ohtGWt=tkSEe=tXCckMefmcwIckkG\\EbqKeVIe[Iu:otxWRvkyUkqH<v[YPlIypLlOAv]Ir>tRNDsZmLYpytxrqPYPDvhpJAEpI@x]HR_IMTHXyLnymY?\\L?tKItK:yvIAyuymy=nTuO[XuFMv]]kOuw<xToTJYuwkixI@NvPYXdt\\MYmDxD\\OK]LYhm;lO[MQuDUJXNXpjyTyY=yuIJ:AqGpqXhQdxKG=JHeSN`yVQXh]Xe@WxuJZux<eXVHSkPm>eqY`YnAoXekXqRwePw=oSIvt]VlyLALrKuKxyvmyV:tuJaoIDTnqmDL\\?ig`giHF^xgsMOnagtCVc@AqCPvWi]lyyvQjug^>pboIucxionrFWrSqw?nlwwkA>Zj^`FxrT^kmhhSH[PvjgIwAflyVkaavEfqE`oy^kYqqVyyyawWY_jWubQrx>xaYy`asRw]lx[lx\\SgbPIbKIbKIbkQnbGdn@_T_\\W^\\iNkEPv_ofkQnrGdn@odNkuviJf\\OgbKGdN^\\Ofb?GDLo<PN]xxI\\WaQwrlXhms_IyGAY`tLSmY_TwtAww@NQXJthU:TqY=xkiqGtVOYjYQt@aKuxm@xvNmtAiN;MQquUjUVH=YhMJcqr>LlB@w\\ltN]NtEL@Aq:<QW`nE`WBYxbEo^@RsdqUqSJ\\XT=pnQOFqxsILVxRVelBMOTpSwxTUtnUiRQepXDp@MknDvOhvw\\Q?hs<\\PgxqJYkNTkRMXTAqt<Mf]jZ<wWEtGiPw\\J[=kjQseLRv=YBXr=YRVlMt@p^YqQdWd\\ndLW@EM:<XvXw=dKAdPsqvqhN;xjBMtKUP^]vhmmv]nRItkqvGYmeuUyQysySveJ:\\Y;YuyuUyduUxPi=VsxxKuULMjfxpZIYe@mcyOVIlaqUchkteT;lj_xxdmYXdY;=Nq@txpoD@UY]WU@oAqLvXjM\\VSmJkYv:TueYxbLJrLyVujsUXODsAMN;AWp@PQxJ:pOxhYrUkyAsD\\spxQwQMOhJGLyZtJeqNBPvkuurUywaQT\\kHIULxWXdosMM\\@J[uiPXmhY`_gd?AnhowqA_voronkYnsZ_taaeOamjpvsavAa:KhRybQSs]ic@kIoCGtktbYvkyiYqYciStixI]yvygKUtT;X\\Igh[s]SenUiB=tk_GriTASyaKBSmFjMXjWbGgrDKXrkrhye`KE;YTggfP=bKqXkoivsblmC:uxBsUxqyWsyKgVNUWp[yKEgnYgNMRcaxRSdWAEdkeOqSFIfJMYoChvCDWYD@Oc>]X`ScZqhF=WDGbpMf\\GwtAxfIXdUeoASdUDggrvuwQgu`KWHat]MbAKd[[WPAtxcg^?wVEWpauMOFHmBiAG:mGO?TtGvoaeicvnSsbiH]wRiGgbAIDMe;cUM=fcMsw[Gu_bvmGA_uowgmGGiwe`sbVmGyugowE^chCodSycUmc\\]r]]fgKdhERiywDMtGgU>[BbuX^=uhUvfGCRER@ehhQrUEg:;w\\YWAiiLaeqMWNOEVuWGSX=_BdWyGsEXqyFCUkCtHkfScRO?fBYbG_v`YejWHqwuIYd;udLCujwRwsS:MeVob=GuBOU:ABhkB]GWDATkQc;UtaaEnUxdegpYeFmXF=wIuFQEVbQGNOWOKsWueTaIZCSDyuj]SxSep]vnEYcitOaUU?Wu?ct;XJQbUqHHUWhWSlobTur=UWpsBZYIVuFv=vLsuX_nKupw]rCqQpptP@PU]sWpjExQEQPnTk[QvSDMTIwHuQbqX^QQclsT<xN<NEyssQSN@k`Hj[PNKDJ:LTyhJWmT[mXD=WtIJtdXWTLqETMTQbUY:mQA<JAAyVupJIY;Haf^g<Qgygwovrdn_HfgpauYPxnynr?eynki^sSYlhq_vWqmAwovs^Qi:``EAlWwxDptkV[:Fq?>acAkcQpNnoswmQftLNo@phTW\\m_oWQ_GwcU@yWFqp^qKw`>FdB>eGI^off_>oPHtehaV`rIO_^I_bg[rITvfJyqYnbqYuA^qwyk<fuHpnN>pCwv<Ax<^vkXopgupwayv\\VorKNva@ii^ihxcWYv^n]wxcYx[nnrFfqXgl;WtaaeOnvJyjJw`wxi<Xf<YpL?jcqn]nkAI]LwfxxhvamWAbvNwRvmtYfOAlyGd`>uhNljFjXa`A`tTgl[OewPgTIcta[hNuDN[FpJ;S\\]wgmg\\EX`sCnucjWyxyXvayMuIV]YLwBNyr^CRgoCdoua;S@mbgGGL_fYeFwsf\\OybiYqQDKYXAATK?cJOyo=WtyEraed=WugWbyhduFOCfgmHJ?UhKBumiQ[DVsY@egpAy[Qt=Os<]hgoHxoxLcRfKIpAdjsVZ?b;mRk]vIWtfiX>uYIwSWmDZGTmIfFyx@WfbqBW;iiKwEwiUCWJUIg?G]qvPgRc[utUDCOIQYWHMYfIrScXa?gNAtxogWaY[wysWFuYrUOd<obTuF>]imqCEYh=OWEwRrayuoIooFruf;AYkQyxkCiOigqYhceoSHukx[iI?QC<MhtmhWPjKipWusOqpfTsqITmAy_EQYaxsMxFEX<YV<dqLTlguL_Tp?PyodUWPSwqYqhVSmY:PXx\\lL\\TmhjH=mZAXa_of^dJxby^evW^=WpTAxXGhr@_eOeyhxBw\\K_adQjfxtIy_:>bo>nkAvG_bMNfb@cnQw?AhdyioqbqadG>wliw`Q\\o`_nV\\MnheP[?QpKQwoOm@XvIhhNqeJgh?ApgGnSYcNFdV_p[w[uXaFOb>F`:>_agsIoqq?txHnYpqf>o=ag@xcmH]^AcwpvZqmhAnMqpjVZ:fui>hVAiDivtOal`nQa]nveonsG^vl^editKAkg>ahW[wpgdVqjQaXiodO]`GhB@]:aoc_kWik;YrD@fqn_x>gb>gP^wZNrHQuVwqPQfi?nIxrQ@^HXi=PlNfxUxqaX`qxuIidGgwQAfwq[ah`t_vma_dWnpAuwWfDidNwZwO]VFyjwb_nnk_jR>ZJ_bOAvZf_QffahcYXoq@gtaiYxr>NisnwmWqBXrRfeNHnUxskwuO@dLa_nhuBFs;q`pnlaIdHi][wxwYevQx@ojtQe=ibGQwiw\\:_vI@qp`k<_jAAZJXrVgwc`ee>\\KYh<AdK@woXc=>i=XyNIfwQiGHtQydPnpZo`M>]pW[OG[:^fNamPnvl?Zj_jIhxtnbXyfyflegqUPsKfpZg`IQmwVupH`nqvjFxT@p]>ZJ@nSftx?gj_jIfpTipoxxl@s;Hg?@`ditefs]Wp^nq[xaVHwDQj`^_QWjWQtJ?dF?emfqyxwphgVhb=G`vAv_ajEYlCA\\rpat@oZptrHf^yvNYbwp]<QpeAd^f[PwyH@neipKIkIqvQFy;A]qnkSNjHxj]PvLNmIof>>nFFpYIjygnjiZbg[AfsSquiwle_wXhk@Gmpybixq^F]>NewxsrhlnxeU?`qVk@icYYt?QtWQiyv_bq^dhyvNxrYfGnvoWnF_^hNgPx[GaaYq_gao>huffq_QdYa`If\\oQyfIgjIwtnyoxmMfZ;wgZHtSPaTNyJhpQp^BxeewiaGmQygtao;amnH_:iqXV\\birrxtgQ^>wrwqjvaiMfkaAmcnm]FsO_tfw[kOpIxceYcRX_a@ytqygnisWd<PgxppjGd?goPYqZVwtq_vYgPfapauXA^pgbMf[mIsoHgZNna?j[P^KY`Jhurgbro_rYq`^ZvVwiq[QvwsxsI^mvit;hixHu[o\\;igpxc=Hn[hcmWpJfceHk>AgY_]f`bhHrhgxiobIpaZpdmwjqbIyuBqVSiHQsiaydc=wLiewIiUgCYuUQiGyAu_AcJQhTwVGqegUE@AtdqFC[iH]cLuyt_g^mHZeePaxsAbYeHWcGqKIUwYPSrqMWbOWo]foUyDuYJETuOcLySi=xM_g\\gx>mR_]s\\sEhwE]SBJgrH[SMibpmGJmHfoYl[xGqRmWd:;sJkhU?CX]V=?sRkiMqbgqBroHiCcf]HtCE`utt;WXmi[US==Yh=teySiSCKqHd=CgsBoqyBIwTgVpyRNuu?UgSYg;OdtiSnWfkKyfWSt;Wp]femR`se\\_tAgInoxl_C?ms=;sWWwEKga_fBiyT]cAAXUqss?BK;s\\sDoQiE_XJks?<wuywTDlWQjq]m=aWEIRwMrxdnheqYFmbotdVjqNvmyiO?gPh[iNctWyQO]]>wNIdOWgBOgg?eaywqan<IeMOymicMXpRFfrnfv``@aa^QmGPiy?ylywWpvs@r\\amf>jgwi?NhO^oTihVoewGeJAjTOyCvgxO_[PgyFm[VjXfc`ixUpaeotGiuE`a^I`;pmixZVq_Lwp?v^WxbUqpXpeqF]qhdJ?nQi]rIh<hqgh`fnsD?kx^q?y_Dg\\gAiTijuXkmgikquvWh:fnXqrlG]:IpEpxJynWG^fWiQ>bXVhGq^@haIN^\\NqK@^\\x^hyjRamII[:NZBYk?ycavdaFaVA\\mGanqnCysEhsYvdaFuYWmcys=NnlPqqoyGQfmoayOyy^vdNfxGgS__gnsCPckP^Ppug?k?QvZoumNfkgfS__f^oChqxGuxf_OhZlWh\\Wvj?eSyh>QhSvn_wmUwuQvdDwqqP_dVjIq_hVkgI^ExhjpauOexPxDqsJxsSy\\ehl;yvNfrLAlo_hlXpfNs=xsSheQvZMnl]wiwod^Qyyy_hngCH^e@evAaRY\\UWomO^yGgw_yRqeKV`=xwaaxOX\\saihaxaImOhw[VxVYaq`eJfr_iw[vmtAsHoaChnvwoFirDgbNVhsF`uppqGxugavw^`yZEYmEYklGqbnfPwhhpiqyvgw_CP^Z>`qH^@pgDwx[AfW_s<NZshZkHal@`]YaSQevfuhNh_IikPqoGhUvaVIeQVx_QnRXeUI]liyXhwUIqlgbNOxsFlYxur`pgowEhpSXpgonRo_DPvVQqRyqk`fAPfmGnlgxuHmtpypfmYx\\UVyQPcpYvM@edVb^qfPgrXiv<wmfAkOPxSqqJxoFYk_hv_FpjvdKfr\\aoRWuSQ\\EirmhxNomU_\\eXeAvniwaRAmeyiIGaKGeTQ\\QvatyjRYiq@_DIqv@mWg]piaoi[pHd:_sGFaZiUysImx>QyVmyLYyhks]=ykIvA?uV=sYoSMEUVUDUSEeMVcmWHDMp=NWLWFIYVlWChnDuWsLxmXO\\Uy<QvY<kghnl@Rh^_WXeay\\Qgushve`oGHpwqq^v^\\Wg[v_:`uJiw`QnANa`^mfOk?`eiAuqhhAinSpjMhssquxYauAjayjafw;vsOvaxFk_PsF@eSqqpAsqQfVnwfOkOir_Fpk?`gQlVquCqsDIuo`gxGdfgkk?oyIpmP_`WxJ>_h>kGY[u>tC@uSgwWWuPx\\qpecqq?_bqIj[P^KYlocwgsoChv?H]KxayWjScmOnDQmRauyDL\\aVI]qUeULTxO`u?XmJaY_ERftohMkwXL[lSpquChl?IUKmQyUpUXOEHq_hLkpycAnqITAXU\\EY`tY[qNp`QyPNppxI]jJtN\\UY_`YpyqlaqRAuuDLylhBhnsPhyqbw`_`ydpn_XAgX`wCxheVxQvaQFiKGeRG\\UXy<_yRIuJVoEY[\\onBXk_wmS?\\EWoiarXIkJvapouCht_IiKGqp`wy^rpqrDIql_mIvaQarPqqJNvjWefxesamV@oFy_EhtGh]KvkKokEF^S>^JXsC`u_xt?@\\ZvhoQbiyrXYak``U_qRoc:_vao\\?QypIvoFrIIkrapv>eqibk@qoa\\hNyqirTasS?swVpvhho>nONbfyoIixqXuV@mSo]]QfoIMOvsAh_=xDiDeKVpmXP]TdcDkshnoGpoxiWyXqS>qssgYe?IuOG@guQiefagXobOEyemfs_IYiyoIYksHn;cTohwChtSTPcdSGEKmGP]rVQtDppkHNpltPhrvEqbLOETw\\uvTPRY`wyXLExlPiXkmXsxXf\\LUQVs@mMDySHYk`qpHOpxofXxYLViUX?]OFaxqIrVETNmVaarVauf@oNTx\\`Qu`Nplpi=ulqWBdL?@qgqYh\\jrDQJTUexlIxlw@ntewMIroywUyuJTXsYkayjOxSMlw;UvHYv^uUfmoFYkDmqy]MX]ULTSEUK\\mpV]LOHyOpyqAPVIv`QrcIYf`qvhy>QjhyJpMp_lLlAMkAxgQr>yKm]SZ=orasw\\tsPv:]WhlsChngxtspTYxk=DxceYO]ofdxIxqQloqyv?QtDQoRUuRqMsxWV`wwXLEYpsElEysBhrOiXkHpkpNPxvEQNQXOEHyoHtiiN\\LqCyyBDN>ivTYk>]xTdVBMnJDTVHnZ@WJevmiWZLT>IR:@OeDROaTN@uvLvPQpr\\RRtNBenL\\L?EjV=qceV`@kvAJCES=eTsMNGXul`J[=M=MlO=O]lP@`PDDLQ\\LbXvf=PxhjLysiIXntp;XRypxjdSjPvp\\pqtWkXmU=r`Mw<aqqhwrdR^YyBLn>DO^\\LDdJBQkDdSOxrbyliTRVljB]NSLoLMqpMyfDkJdn?<oDisemNhAUbHy`\\MUuYLhSSQtnTR[xqWynk=kbLwiyKdPKs]kKHp]AP>]lD=lOXxUyUD@Q@\\vUxV:\\nkLnrDRL`nBanL\\V?EMshMYPMfUn:lvYiy:xVWuySUliyv=xP`<k<AKkMO;mTO<OqtKOlK^EP<tQ<md=GdOXuWvmaNmAOkr^kJv^c>dbFbPorsqu:`^nA\\`P[nPovQqTHw`G`<@^@o^CAtnHwVV\\JhhZ_\\xWrA__ZW_mGfFop>VdQhhn_\\xWyFpwfqZHVjANay^aswxwhe^@xeq^Vfs@XfDyxVodtOoLAsAx]@?cLG[?Fe;pncWfWvqC@k@Gfb@c>sniI@=gRgrB[iJCCD=tFcw?muRoFXeCPWg=IhGWgEyd`;SDcfQCiVyc\\aHN]s[EVecbe=xcQCwSDIaIN]RL;rGKDZ_f<uEe;e_GtL]BGSCgef?ocoeh=CufCS:OtoIr_ah^CdI?wHYvwgDZSWd[vaohj]R>usRyI`gU:KF\\KfAEFCAtFCYTifr=Hcwu:egMebgaCC[Dm?DgqbIcuhWHN]igWtkDsJaLXIlLdQTPl@TvSiN[xSOmZUQbUog;I]L>_\\nwZpucFnWAidwfD`\\xgeAygYXqq_mIa[Pqx=_``^]FXkB@khxrJGlB@k`p_GOlXAcsxtFpeHWn_GfENq[W^Kh\\RPeuQxyGl@G`DfoJfxc`lhifBqZUqfSwbOx`^`xV`^CNlh>jVwi^Ae`Ovipd^A]JY][NcdhjdXhsyqcNvJ>p<@wCng\\N\\^PlFTxWvOKbNMrrgiK=DKCtr=EdK\\MWl@o]Vwu=wnsI]W?ZRig]ptJ@fdO_ny\\Tabsqu?q[FPwY>uwnZjihQvuAhcMXmAq^uisTVd<pkcHrlQ[jfgqapyHp^nkKibHVpoQ]nHwP>lb_ac?[Qix[IuG_w<>bQybMQg[f`N?gtp[OhichqdFkeObyywa_];>aTiaTNaGogpg]ofxkWson]CnjMfaypnuab>wo:VyN_^\\N^\\Na_YnPOySviYFZ:G]EX]W^`o@]gVt<x^qHvuh`jhxmF\\KF\\KrJEdB?cB?w<_HbUfXAh[iBkkcZCff?WJYWG[HeeTPqe_KF\\KF\\Kw]=gB]R>]R>ZG_vywnW?Z\\N^\\N>JwtOFdLC@kBF<RnCD@Oc>R>jb;F<Rn:@;FT:]:@GZK:]@jBZK=R>jb;F<RntyRpX;<kB@kB@kXMnnLx[QqhLjbdR`dLJMTe@PGdMdESTpXKAkbilDQVYlkQHrbHwbdSu@PnQp^EPvpS>drLINYUxyuuoAv?DNL`N?LKl\\tdpK=Ao<mqIXd^^jaIijQjBFg`FnZ@gJih=NqT?qoa_MAa:xwsAx=@ZKO_[`nOAtd_dueMGFfaXJoTg[TYExHaxyKRBCHgQRJCDKCDKciRCUBSulCtrAxGsrQwyQWG\\miSIbmMYMMR>]xjQhRybWaWZgxxuDAUHe=uISEJmfW=GtEHl?g=OUGIRcGwZgX_CVEADtcHReXQCUOQRGag<eGC=S]sCpUs@yvNErLgw<qH_]uhSUFEDn_GRgsI?yXiivyiVKGEcWn]eTkrIqDm[rXgc`Uh?oshmB_Eh@OYwoCMUGWEGYmDs;hFuB_oTAcWwiXXgtSKGLCL\\LNtxOS=j@pT?ymYEj\\eR?PTL@l_HP<yoYIXpuoMXR_er==thPvpixa<kBpWPhrx\\m`UJGyxu@QT\\yKHn\\du]`reXRihjj`UIdXoQWf<MoXoJqu@<lQ?[TOu?Afhf[JwtxYjypqOHpnI_>XnIOiP_c[itn>]ywi=Nkm>dOPZ^`_;_\\xWrKIq:H`qVq@@ri?fBGxhf_FxkPhf[HysYaJGe>WukHdMqgbVd\\In`xtKp`v^hFGi<QxyvifYdK@kB@kB@wX_fjYWwIMOGPyh]]FK=BYyxK[bkKt=iWfwGNWyMiXkiwiOETGRpctLQDwoDc]v\\gWOAv>YthCs]SSv]XvaCTUsA]hqOcSGWQwbX]eNyg]OWr=tVsXb=fB_r@egkiBAIIWcs@oXooF\\ER=Uhs?bVki]iY=qRnCwaYiP[SA;HpkxJ_F[KBYybY[RBMt=[YTee=EhycUquhCOewKYhIWJqbhoyFwIxsYAEVxUB;=usGIJ]B:OdHSug=FgWwbGYcabE=xvIHN]>KFtwCCWb`uf:gTQiRwQTmyGc_T?euoIhksdiyy_YEtkS:krD_RIcF=]woGTeOsbcyeyTvgYY;FweWu[UcOCEQwoYvT=To=g?YeYQRnkhRIbc]y?[tV[heWr=yh>YwZ;w<;GCAGWUdIiDNegQUWpKxKkSNGs?=hUoINqhEoSGeiRUxYMd[whv;YeWHBIB:KiRihW[bQascSCU=toyhraY>[vautZIioWeeeHXwFU=XTMHtkf;WElWsQsb[OFKCDKClu=lrhM^lnGpnpeuW@kFTo_MVJuUkAOFDlvlT[AkXUkfljiut[XO?\\qsivglyxQl<mURer`qmIPyetWiYs[L^wIkJq`e?yFhZnVm=OgZnx_HcLYwtY^C@\\Yw\\RnfcIu=npCo`LAt;wZG>uoXwp_gCNgmH[]?xfv_H@\\GVij@lr@pFxajXiF>^yvkpwfFpfLYbN`o`^o<y\\NioParon_YX`@Pk>K\\vhPH^DhfnnjovwtvbLghbHqMypJFtwFsL@ZHgu:PdtWjYxiyY[YxqC?mS_e=qtx_kBig;aq=A[j`bnGd\\atKaugQnbot[_kRipDfjxgowqoIplWn[wfw_Fb:@]:^dWvtxVlUN^GXdNWmoHtwWjDO]dPgyyvhojfQc;NdrhxTnavwwwq`Mag=QlAy_=ibTNgoH]nwhU@pfAypX`sohRN_LZKfuS`jdWssHy`_bL@dbyunfv^GiFH\\ZXpKIu]ol\\fiwgE]RaOdjWb@Gg\\_xMyYjyuyoI\\YukmiYkF`;CucCRKC=aR\\WyO;fOayFWVNCVRWfY[fO_XMSXs;BbQveyE@KWhiftIycwb@UwEKib?VsgV;meZ_D?Sr@UYNMfSYeDcBcwy^sgbSRx_Is=u<Uv=uYBSfvQBTktWQgmSG@ocDKiRiWp;vwOdAsbFcDC?[\\NifFg<`^=>jVNo@ApUHP]vu?hUcHRKe<ObnyYJgxpKrEyHaCUBsrLETryiyMvYwyf;ftQcdeRJCBcKRqgBMUG;myqyWrYx=yTVSFIGe?iXvMIR[bC_WfYSnADlss@uvu;bVOcdiSgajo<ugHUnQUZtYAYyYePRlXB`L:LtJdO=aruaV@TsUmMfYWtiVvXmRDXLYM@LQYePZhUryU@togAvUuyq`UOajhdNBLQg\\tFUJtpW:apdAWslQ\\IX=LR?uRo@KZAs?UomQQt<Q[=oB]BKFt]FS=voQIgwsU;gSSRdIG`CD\\_Bb;GlKSLMc]qGj]xsiGnUs?IU?_rBkhXeryuuyerkuWhwcNMY\\GGEUFreWEcTs_byuytyBx[wXCfEOF`ud@CV\\eEt_sjCdbIv^=xukGH?B:mTkkSiOBDeu=Wil;EjcvukIxqg;egT?tOQGfEg@wSK=BUAdYkfrGW:sI<;bl[gtex\\Ybv_G:uruKIwihNOij[D?KY=IRJcRBcyI?yjqyi[ykyuYGx@mg\\GvIWtf;R?of^ABnEDrkue?wqCe[OFK^BYfBEvskEHGd=aWegHvwEdOd@Srn;VTeCRqYBgs?oujegAuETwf]KS@gGEcGcGcwwEa;Is[u=qsX]BioFyKuL=Dwkhfkx[utn=s_wY[ydqwwkivuuDBiDkSinGbgYbRCb=AHK?wk]RjYbXYvf;sDAEW=Y:;R;ctpwCyeXJUVkWciyUx;vmMT<etdGftAbuqWLIXZyX;_y<UCGWsWkH@IB<WtFEHAOb\\=fWkfBUvBCVRCFCuCkgipsb\\;BVcY;yeteDgWGGqBhSG:mwqEiJiCV]Bi?vSwE=eR\\KF\\KF\\wrJCIbEiAAsGihZacOKBP?VpWewqyboi<qh=[VKUCoSU@UiMubT=dZcdN=Wd_IlwSe_HlEtlOUjyw]EEBoEWMCqof]yxywI]YYQ;Rh?csgvG[WAIH<sv[UBCKFt_FG?D@iiYSx_OD@yWj_U:otfUrd_euYTqYEXyy`OfTuxYkf@uUP;fOqy<oWkEBpgWXEC:Uhb[wG;D=;BOOIVSuv?UmQTdCfTAxZigHaxEYyOcstWXpqee]d^IrZaHKKbQ=HF[xykfW=:KNIhOEMvxuu@xX[DnZtkuUTO@nMuW\\upj@kgpSw]xbelaIs`LWtUJYmQXTvuun;TrIHNqXjKXngmK^ElEpXmHkPyji@QHiOZUsStx=EkXpqQPL_lQxIpB@wHLlRdyhLK[DSM\\WkEXAllXUja`WZur;LuPeMYlqoEJVTVqyOWLUTIRZAM]mtv]]Bqo=qke>epa]RXb`_m_H_tYk<`qPgjtghL>ZL^t@W\\Enxi@yr_[nwqRAw>g`nnbV`rEfj;QiC?\\yPjpysFf\\C\\bilCGvTO[xWyVUX_X^GEfgwAWFimG@KVAQRg;Tkowu;EPid\\ixD;HfcEsycY;Xv]x?CbpGcb]cS[VkwCikd[=UT[eISbxwDCoe]OBFohEgxpUCguvEkiqucjiviyukyEaGcsSgCoVMQRo_xVUF@yrykDKcuCmdVoxiYGGGiUiVKgC]Oyu[YseC;uNd`JnMrd\\XEARgYrq\\XKirqyx`\\x<xkZhQt]PcIpEHMoHVoTVbqXjlt:<P]TJLQjHTpTXrAykW=JK\\yjdR]]rbPxaUw_TRPpVrEQI@R@XVmyV\\LN\\LNteV^<RL@lEivhqxDYS]eud\\V[UK`UN?esmETyHW^`s[enOiObIyxys?PrRepK`NsPK=uT[`Te@TlULy]NKYl\\DOtLwpxkrDeghp_^sPVh:waV_ySol[Hep^yuxdqYm<xrwn\\KfuWajUQedIn`xyHxsAg\\Niw@ncIGjLPZeX\\\\>eYxwoIeBp_xpy_GnSnu=G\\Mw]oWn?Fo_Yn]GsQqcP?_N>`rfa`GubXvATOqBmIw\\CShMEjgvfeCwsr]Ot^?EdKDKLN\\xT@MjcEqMltN<J:<L:`N\\@^GGl_GuWqec?jticoVj\\wZ`Ht;ptkAtLqgSAakfcKhxiIdH`eUnurVZJO\\w`b?fZ@Wr;?l>AuUae?QvFo]bq][wxwywrIyapir@]yvnUAyA_aPF\\WyZc@hTFmGp[\\Qi\\wn;xxYIZNhhRvdTy\\E?deq?eXjKHnyHn]eZqW_Ys<]hGSC[gv;YgcSf=;TSmbv;YUMeH_C:SC?WhPKBqcbdwvQYS[?xlYvxmbD_R>@kBpM<Mv<QtU=ORqMTYVntqTlO?XUiMNKUy]<TXTYj=mdLtexT<PWp@tCTLVlwvXrDQR?DYnYr?yPl\\PehKiIU?Xk>us>`O]`tipuQpnqdw]EM<uqyLTC`oVpJruLC=TUhORhqdQkrqM@=qwIMhLj]=MbAWW<YGdx`QMOPSOLUyhL:uPHpWV<j_xNAPRc]xsayf\\TNHNYyVaDlI]L=eR\\LN\\L^qi_oAdMY]BQmX^]w_rWgbT>rIpoyH`EgqtN]khZAig;A_=>bQneAYq=icQFtEO^[`nS?guH\\LXjg_gfvs]`muNrhYyq@y_ikFfl[Q^KiyL`\\bPhiyrhOlVAadWhpgvAHfmatJg]NQfvhh?qqRf]MAbUohZipnH\\Waj^>xwAynYhGHbYQ^Kxkj_rCh`GwZyadZxuJQwZF]FpsLXaUwdiF]=gb\\JKDtwMS=\\PnQQLPqApkctkR@P@XVo@LWutUiYdInXuK[Euo_^Gndifd>wteWnMv[`NsJFy;Vb@Oioa^sPkThw[ncpIxcgiCVh_a\\YwuyhrivgD?dGojE`bqYb?pegyde^k=Y]dwxC?dNFqyfg:H\\IysHglOffB?^RH^CXlKFq^O:GEbMSg;YpeX>=fRGFfUUjWd;aD?;woShQQCZ<RaQuP=JSLnjlJ:\\v`eORLxbhNBqs<eRoPkUqxtMxV@XnyV\\L^>swEs<]hGcEp[SnSHIkhweunEH<oc=shJQR^sxyqd@?xvaCDog;mRBohKURbEijWywSuemdCOsYuY\\YUquDgofAStKIByGcp]V;qgxKrlGDwsB?cBteu;oUiUFneWnOUg=iYku\\yDqWboAG:eUXoX;sf_SrcUgFacIGFbqxnSt:Exiyik]xw[RN?BTAcDAydgV[mfwyBxoEs?WuEGdorJ_dgcx[iB:;T;GWcuDyyd??WOUgrYVqAEsIuo;yxIi;qUtuW@wUQIVrgBNQEC[ueySt?cvuBHwg\\WDYgd;MgpCtX=wZyhIwrrAufEFnKUrOHXOUdIf]iE=;G=QWOqgcmrw;D;yCuUfswsTorGStx?D<?cB?cBduWIsx@uRxOD<J]mqlQVkYtCuyGyQ>qvvmS:<LsPX?]TlIQKxmYALAtLx<VY]oGaKXYmMdrlETNtvPirxAsldWDhjV\\JlUK\\Uw;pLU@wcXQVIuNToEXS\\UvZMu_DmXXlWhLKmMVTYlYk\\Uw^qvqALGtPrtL_ir\\ikULtC@uUumMDY:=nrtOplxhtSy=OpplDQJBIkSipWDX_mWaypU]L?QxHinsuoGqx`iQ`YovPpmEyM\\jr\\y^lledqmyW_EWeQtsuxA@yn`UK<RX]sgxgToqeVxTA\\m@j:ogX_qu^qcOvQHjGymC@kBD\\WIEEvOaXvqysAWvyhNgSNYg=OGKKD^efQeu]WywYELefHshmEi@]b<OiwOcS_E:[XKgdf[XVQIr;weCtbeFGaReWvZoFIUi^scgkbQqWZoWcAToyijiYjyv]yCj_TWkTwGbPgwYAuikEKiRDKWggFNCXFssoyRpudRYE[Iu==ioObsEsAywyqd[Geo[HTeGnKw`[X?EbcYsREuFCvq[hegUdKGtkBgggK]g<uIqMrEMI`Kgy]w\\AYfQXIAfPUthoys_f=qC<[iUMe?MyxyTbOcHSgKQRugTAGgc;HwCEeWU[[itis=wi>qg=?D:efPabsQC@CW;;byID<=ccuD<?cBD\\DA\\AH^LFc@PoNpowHiCQlBFdT?jd`kkwrLhhZ_<AxK<pOFfVYgsGkB@woOcZQ]dnioidforX^skPyH^sJ`j;NjjNbLHZLGn>FeKAncxtYxw:>Zc_Zy>cJOtd@dXNqIPrnNbZyjBPlNFmN?jfpdKgqc`iaPbn^lyWvIagCvm<wZtY_bycK>fb@c>CKCDw_UFcDciBBMFYCtWWgMiDZSWd[vUuchSS>uD^oEfct:=V@;CUuHQQvuEwLsRAOTEGVsEBTitQMdbKb=chJCDKCDKvcPwgZnjYqaqwwrvmS^ogyjb?py@Z\\XyK?t[Wqg>wthj`H]Zhh__jMxd^nhZgt=?ggytO>_<^[OFKKN>uOQMlZDw<<soyRxeY?yxvGqL@^O`fNXs]XihWqso`_^\\rhyMfueFcgXrgarJicMnkUIj_`q<imfFxJWtU@bEyjuQytng_WxaO^\\N^\\NnQv^GFvtpavVqCxqqwk;^vJGefOnh?oJahWNweQoBGb>_bI>_GVuj`_INmWIb=SIIC`ScV;UPuBlUs;UgtQS@mVs_b[OFK^BBWqUTKrcaFJYWtkUA]iPGFbaX:cu<YGDITi?Vb?S>]jB:U\\ahe:JKD<bXwD@Oc>]ZK:]PFd<F<Rn:@;FT:]:@GZK:]@jBZK=R>jb;F<Rn:@;FT:]:@gxUu?jBF\\KjbIj^EPvut?xvA@SlDK?dR?etjDVbdjculF@kXHQPaT^LN\\^BLY;PVqpJg`x@lRe\\RCupJUoS@tLuLoep>drn=L_UthDNKdQauy]\\:Z\\Ztxacxf;gy_iaxxdPHpW>ubpme@mRVat^tyqi@nvPI\\rihbVten^Kfa]_oc<C\\indTFqbWeo>akapEOxBPlH^_eiaxX^IhrPWw<?nB>Zlht@Wf@>axQxPnb]>Ze^_LFtg?`N_^\\JKNNGsJSYg]tdOHDuytiDiuuA;SYETlmDpWerAY>;fb=f`wCeYIKEbOUe=mC:yhpUBHMxBiB^KfQCb[OFK^BLYSLpRlqWujh`LjqvQxprYyEMKsEVOTmumQdyo_hkimv[hVyUJ:\\vepJnDWraV_PoXYWpauwQjpUQt]p\\ILKYs;ATK@;]ZwVgSO\\:IoU>dDwgjYxiyi[YxqF[mVke?uTykKFqg>mdYwSFwrVxV>iAiqYh\\GgroFm\\>nb@dmiqYvqsp[RV_LFt^@]d:]jXhlf]XY<YSMkndYfPpFuTLlXJAPO]lxMyIlyuytA]YulsqYr>aJ[un;TRseQ[Mv:=wsAw_Mks<slEW>alD\\Tsxy]yp:lQU@RMDt>@MdLLKbBdQcEO\\tu?hubHrJaLN\\nyYjfxpKlUHmLm@LHhn\\@HMNyIU:etHxnK=uA=l\\\\XU=PoPL^yYyqjytQverkLxRHUVuraXj;=mreWwaqQlO;=MWdxymO[`TTdpXLKbdm`mkKLJPeT^LnCD@CDKL^nal_F\\\\`Zb>_lNcLOk]q_j_xsi_nWs?Ie?`rBnpXgrywuygwQQduGj]Pl^H\\vpp?PoVOryxiwYZYnhI@t?G\\mXc=@`kp[WoigHf\\AbF@_X^yV?bc_f?gs<N[?`eyyv]^^kY_cpuD_bqqj[P^KjBFtModLAfRpZFWo;VuIFps@d>>ZVfibOrhythV[Uo\\TOdMViyncjOhrxjWhqBneGomXGmiIdPVyjXgt^vLyqjYsUyxrQxwX[^QkRheTArpIbF@r[?mrovvWtqG[Li[ehbtv@oiPoHmaRnuWRKO\\L^>CwSE_;egqF`QX:;xOkhW;FEOUbGulKuWOINQb>Cg^ORMeveWBn]VC[YaGbTGg=Utd?HfoBfuIsMvoMEM=iocEywywIEYYi:KX?]sgsWZUIHGDrcHNEE`kUKgeuQRiMCOssI=d_uSuUSZKfawvYSth;BKCDKC\\Iye@`^xxk:po:PlV?qx_rX?ZJhcNax@BYTFAjIHNq>`@g`ogcw_`dpZxayt_kVo[bqh;^wxGrAyxp^mOw[xWcUfySxcFYhdVw]QlZf\\:^xuhdvH`a^aqFjnWf<Fc>_HQeD_R>F<uX`Yf[oi;YeqsXvEWG[bqkYPEB@gf]sC:sRY=DBiGngcKUfvqFbAUP[ydWbwYD;_GM;Is;u;qr\\eBs[E]uxIUDG?vcotLUG:AWu?UYme=EIA;fu]bisYyqcyAslKgoSExMxNUswcG_PyK]sh]KOtsduN`ATRdu;TNKDtO\\KODkBR>pg>FcDI^QXq]YojnegG`CwpZxvuyaQN[RF]AfbW>abGrgW]R^[D`_CQ]dg]IfoSa]:xwjgmUXnFIgK`\\WfhUybV`w]WggG[mhrVIgr@ym`_=WpRn_XHl[H_=HrQOd^V^uHcvvuyQf;NpFAdK@k`VrJGlB@kB@KKimOGfaF=mdWIxOch[gcmIXcMcfwEJkEsoHvGD[ITLkFJYe`kgPiVNGVTMWiMenCevEdYSU;EbK@^>upsTk?IMwBtw:YqvYdrtigIV]dZoTOqyIICLGd[UWD_Fcqxx]sc?gdsCWmH\\Ptj\\T^^BCLtmTL=qoq^da]DLpAvF@SOTS`UKoeXryy^PR;DQ:LpftQ:EQYLSCLoSQRa\\Sj=qmqKeTKO\\vKyKQtuBAtfpPvxTVlODQm@PP:<nE@OXdLPtRBTvxykdHJGhLODkbMRFd<@kBfa]FoQwb]npZAqg>]_?ZbQreAiRFuLixTFhRVnEP`nWxT`tkIcM@dLa_nhuBFs;MEYhHi][wxwYevQx@ojtQEETmOyUiBJCy[ix=wB?EF<YV:;s[mg`=Rx]d<IDKYS<ATKD\\\\bbIiBeINYw[[GuoC?MtZexMYfhwt@uFX[SNGFlYbkKR@ADWsxUKxmiSnke]mfrmc^sTKUhw[rCqIxcgiCVh_e\\YwuyhrivGECdGyTQr?eDoOuF;BZWwu?xiGUnAumExO;BDoFTkvjGbxmwe]RmMFtEgRKGLBKLYdPtJlmU<NHAJ^ENTqb<Ws;gegihb@oSo^d>ZJiu?WoSYog@mticnXnUnZiGZJPqg>acaaTqpo^nyhraOoZ@biXajYv>ViUWgR_mO@\\w?iExeNP_TIxnX[qAiNPiUVs_?ZAq_Tqwjp^JI^fWiQ>bXVhGq^nYs]YZ_G^TOeCvawHyCf^ghjJHs\\F\\GFxyNbBF`gQbJF<@[KifcNatG[yhihQ^Qoo:oc]_^TW][xduvtNg`<Wcwy\\xAyD>Zs^\\EiZ:og:yxeA]snw@Ow;QtT>_RqaTitQhuSpeL^hJqgu?lUo[dOxnXcmAiLAn;feyY\\uPt<n`=w\\aglKV`>fkdNoyow\\`prhjZXfVg[OXjt^vyay?xw:>j\\nlqO\\RYfG@^>_biH[=;?KKYlNHNbXOrysYeybuVpeLWto?XsS<VP\\PZhTyarQqOJxmWeju\\VTXk\\]XFUKXHu;XVv@mtLkn\\RPLQbxtdAX\\DM@es<eTHALtpPVtMbpPW<QGPwjQUdHoATSsiJiyk:\\LQDpOdXZ]qfawS@khEj[PNKbBDdeVbVnjB_^SNoLOr_qddxnMg^KNnn@ZOGqc^^FGvQicrNmGvrNxws`onad_HlIvaF@l^P\\DNp<fcMA^YAuxna<x]^>_cgdb^[NFkb?[@Pk>CKC\\iPbD@n[Gng`pJIphp`HpsL`ZbfeY^eHWcLFyBpjoW[rFl<^fGgjvatPnkB@wSVfb@c>CKCLtExl\\jgULgDo?tn``UGl[WbHECgqRoIc?OcaeyDmuGaCPqx=]H@mXnCS>]RM?yAahE;R>]jBRISGl]CbicJcFOQROIivyuNCXB;U;]x>QB?=BJ?FO_VNWsq]Ex=UdCfjaxPkcB?wSUVGeR\\KN>]bX?p>i`[hytInyNliAhsHuo_b;gyVAoLab>_b]H`N_^\\N>?;Dt>myqMu?<N\\^b>;xv?Hn\\D<?;NmBVb?O>D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:o>bBZT<N>JG;D<b`:?;NMZ\\:dCJK:oFlQR<erNCXRKFVCyDGdHcYe]I\\iIKAxqacgCbQug<ETn;UW?wHUX\\KfUAsJ_bX[e@GCWQwZCepEXhaw_gGIiRc]v;IWR=tGUEkiYFAHE?voWWjKgd[DSmb\\oT[]tg]BicW?IDKYDOOFliEn_GWkRuqXQIbS=W=aTO;gtUCxiuhKScMBc]EZWthWrfotJIvtuBLuEgcU?OfT?h=aWTif[GX_EC\\su?urkGtpWIjQfQAiksfBSIg;UtoBOEd[SGdKo@LQ[YWVuLqTsLAKxun?PmKeRWympEWhyuwamMuwxmWyEX>YSjMpilQgxoChl?OnRXj:nswPh_G`q@q\\ntPyaCXj[www>y^ntQwl?ai_vihiisFdXXeNV_eWe\\wy^q[_QuUg\\OHrvVxEOvMi]`gb>Wlr>\\UXsmQf`@muVuixfQyjYVZXhjQppvvvgIkqWcQplgofG_wYihpxZUPfk`eNVheYa\\AxAIjRIeYX\\sqyvYhmVg\\wwxNkH_bn^s[y^kPqjV_DyvhHceVoqHadamBhs?Xp]WvfQy;iiQ`lHYykh_Pq_Yxkjv^pn[ahejHwu^uRhaWw^sHyGGx]Ou?NnKpcHnp>QuLaobnvlOnRooBPxcq`W_\\mywHnnW_qAYhlx^PyvEPnv@xH_wWnyJvZYpd>awZAqVXmMV]AVth>vMGhZnpPw\\?ae_@_lwvlAl?hocwleqqWIxVPiiwvpylaifNadN`<ei;oXa;RRqe=mwnyEs]GrCFvqSUcctoCs=uueVWcxPgCi[xkoHMYyMeV?yR^yXJqWR;T^WINWSPEf^YYykvNcDDiE`eR>UdJGVTqEvuhHGecuD_qUv_h_IIIeb_AYjii`kVmuHIeIX?DgSr<yBR?WOiHNOCl[htWCqEi<;BbqfC;UIQbBoEFESAUsoAvoosYUdXqb>cRKWyysD[?G_WIQcc@=GNEtj]I>GdEgvlahESxn_DNcD=gT\\SgDKCMeGGcUicbYQt[SG`[wNQbUsVBMvBCXLOVaef<;vBseeiCrug\\QFbSbYuHjqxmECoqh?chN=bfwh[qXPCT>;bhMcniTfwbk=sjKUW;yK=CaEfrcw<aIZWIXWTiiwVqylaiF?TkaeLOg\\aWmAd[Gg]mepaFOkbsSBZ_CWQtjudfCxNEr>uFTIraggg]RxeYr=gsac_Ewmagpke@mGT>AuymqYhWw^ifd;Wt[tvahELTSLrjlMtymaIqvTvc<oO=WqaXy`mthSnpqpUYIlXHqQ;dTUyrXyng\\WuiObuxmITIlkAale@qH=JZTRDYq[XS`hpHmoulVQ<nNeputUuIog@JuYuU=ynxL<ItiivdaX<utYXlX]o<pK=UYZYU@aO<=Mwtmw=UdPuBlxxDVeUYYDREeYJysDUrjirouwlAQ\\]XFeLtyMYHlceWrqWgawtPOGDLHLmxtMA<xXUREhs>IRMIyH\\vN<saqoiTS@XjjuVETUulMT\\okYXCEKtHxjXyqapGhYHeqpAMwuQaqxQpv?ijD@l^XX;@n>Pr>tkLQS_PL:PL^YYv]y`dln<w@eLlaPhXJYLTLIRgHvyTnTqQSLVihkTeT@EwYuq\\iwuAvxymHeQuhXlQQBusfuuE]UEnfrgwp_xVqla_iLiagVe@vq]YvR>bhQsFVcJgh=ftaQh:ovkfvdH_gXlRq`Z@_TN];afY`]ohhbNcOfojqiEYlsihNie@XoaicegmF`a`wuIY\\d?_OWZtPaWPeDx`WXlXO_cIbIopc^y@HktY`ea^m`ndA`dx[VWcknhZOmpne=ovowql^ZoWZPyjiAw\\PjTWqpo_nAkJqte@ywYxKwyqGwxo[GwcVOvo?\\nGtEqZh^_j`jLpf:Aqix^Sy_F`^[ijQQrUvvVPi=I`ti`fAbMNi;Hn\\ipy`uvqt<`jViqWAux`fC^utWZkPiIg`tv]Lo\\=ypeAtOdqsivgrYyUL=sESgRaumITywtaWTIAWW?tMiDSAHgwCvMRyuFkKfbAYTibrwBIAyROHrkwdeXryxtSvcigMCUiORtqhESigicy;bUmDZguxaciEeDOwwmIrySw]HdEBNkuJceSottCYcyrfydx_YMMdn]GRwYweepEHXoef[R=Ag[YxmQsTue>_GbWrvYweKi:KXmeXNyGVWXl[FcuxnyhVac?Sw_uT@UB:[r;]bhisMGDWEr]]x^qUX=gruBIqw@iWdKDrehd[sIKDnwFvURMgF;[etGB__x@sIyqyQkIyUdjShrobggyRCdUQbskWm?yk_IIgX<uSVMEZoWNIx_iF^IVMed\\kYpyX:ysmAeLgF;[e@IukutIuwmoH>adQIcfMfxsd=IhUqbukvpidteWnmi=SHoOuwiHqwS=[HnlyDePb]WphtmdooMH:gjj\\oI@QtHYLyT`DjUUPjyvQmr:UlEHvn\\MvuwyqnTLQhlm_dTn\\mG\\Oi\\OZEWoiM<tqkQKtIyIAl^\\SaHWl]Q@uuHyQ`heIicTFqj_gQFbVP^MPcJ_pd^hWgZL?bMal[v`JG]\\Ar?wnMPbiwtj^w;AdPVyjWaW^rTW[GPg[xdEYn]WrkWb^>_:Gte?gRgdNpgrXaEQl:no]ArGNf^OlFfbMAncP]dxxLaDEDsmCTgc`kIveI@KxE=gxCrmKTLkXJqWo?Vy=yDouo=XXSHEgCnSeo=EqMEouVRwfloSl[rxWCQixJ[rCKtFMR;mTJeHd=hnEytYetaG;wuk=tkQB^Ce>ORCeROAt[gdL]V_OGhalOMM<Ywn=vtIL\\aP=\\nL\\ldpKEaPiqPYYYctXiYiqOZ>IcD^lN?]oPafX]=PkNFlaQroai>Hh<`\\?^l^g\\Ogu:HnIpuAQpRyj]wZJXwG>w_`[kxf]hvrAc^f[opd=Ni`InhOmrYwUww\\OqUVqjhw^xxWIcd^[EWroinuhrlafCNZiXZQY[JfrcN`c@jLPd?HfS@`NXwP`^=O\\r?wnOZBikP^kL>j^>bAIhZQykNt<`[WQo]pnIVaHneN`jhNaHXkZNcJPc_>o@g[oWxhWyaO\\n?v@H_:@\\[wytNpUVqj_wnapvNl\\XrdPsQwlfF[ZIqh^qxeDeBSKSOub[=wJqRX;Ym[F;WCAiBFqdCCECKBugbpwD=KhCoVEaej=hiwfl]SS_s_YvhmgrSc_qTEcSeOI\\UiWstMEUacFRcHWcxisEKqX\\;UqkX>ad:ihW]EaqVKUHiIf:IUFsucEfKayUSiA=RhmU=Od[iXycCWovtCciAXFqs\\=yHgCADNCEjLPn=QWR=oHPQPaxIIo[EoHpjk\\YHYlYumXytliSr]MvhsoIRP@NniUrlm>PUUQjl<UXqXAlYV^^QGfNQg]v]RvueQys@`Yw]hXw<y[\\^^S>^O^fbOqCVsvPiWqmri_RpvY>ugyv`GpaArhyew^eqoiDWbInoiY^BN^>Im>FeKIfPasKhur_aNQp\\VcJNiW>akPkPgqtghxvpwqml@[WPm;Vwwyx;Qb]XfINm:w\\ZHm`noxgpqxq`V]UiohhfiywTGgfGlGpxQHbRVe;ghBqhN?td?pWQuwgIaX?qIVsG<mbFCRNyUaCU>stpGDIkfc;gj[s[srbaG@wwt?XwoyoahNMRCEtZ=e`[xKgdKmFrkBpygyWI;_c@Us:ECwWY>ocgArGSDZ?fZOWOITusYyqd_;CVuBHwDZkS:Ob\\WfPAg[OYxEBL?BWsHv?tLOf^GejkB_qS=[XtsDyyc<OCMathuii_uuiiXMcJiwZ;ivAvPMTZ=UO]dl?ChWvIcgssGQeGbYbO_YsEU_QGfWsuYuosvNYuVSfIeu`auxQdFUYrIwuuhyOGdsf=EfIIcGWrCkuughZKXQqiaaRfioMdrvakRmuVYLAxNaLvAIvX@uVEmODY:=VhURVxYUykwyS\\UV_ETFoxAh_Ii_DX[]PpyAuKvwPwl>ai_vit^^sauuXbkOpyqcffdHqjtv]vPxmW]\\wyTQjY@kwyhEDaQx\\mVsieRquSIDYougGc?GrvMX?ETXGeMSxESC\\EV[ERfciuoYHURaqiwOFdCIVEGM;B;Ovl?uX?WhuC[ybRYuTUDEWh?EducGUmUFaGhWcIuBasClIcImNs\\y^lT`Uk<DysDpthpalKy]yJtjuym>QyvET:DQKmUVaLATRYyp_lldDQK]mYuLUYyy\\rCIsIDpyhqhlLDIQ;\\L?QxgxLZaRfiWfLkDmOaLOEXM\\UyZyjrIx]ARfaWhTkS`M>LxmPVouvHtuCar_quPTs?qyqQPupOHlYfAkoHq\\AliioblLptoy<UV`wg=k?Imv@sOmL>Qu`qpRYuUYLuTUeQVsmpqxy`YOEPV]uw\\QXW`MhIkghkOXXUivf@Uy<wWtRlyvqiw?yyalQixOEhn_HQKmMviqvtNPplPPYihlGYXuqyWylayrHQmRxOaaRhmVS]WhaMBxMylYBXjgiKk@UhiqimY]uUVxULXlwiOkppvtO`mJAQPFAkohyMDXjhpflVmylytPalVPqx>ipYAxCqmrupRELs`U?]OfhWDhwwhQkXxcimRemiTk\\asV@mS\\simVg]rkqWrXjGilxQQUxL_IrxHUVhLEXjoAqn`NPxoVTyHdrahtsDTFiL?awlqjrapmxNpqXphruht?puvLX?EPqPyC]UXUlylxyDkqUoEPfsxqHOseNfaav:_qU?_X?eQVxiqiFhexy^m_cSVeiAqu`hhAqUX_HIk_ikgGhrwcAhuavpHocxFk_PfyYyxyyfiqe^l\\FePnpwqiyQyPQ[V^iDnbKVnZ_\\kN[TGrb>g?VnZ_\\FPjP?tDNu_XjP?`D@]?foZh\\FP^DGbe`nNFdD@_?_n\\Nd__n\\>duy\\VWluiplPotwaeGptVqBncfAaQhipIi]aeHheuN_Mx[ZF^VWudxaaQ`bNyYAyFhxI@\\ggwiwgYI`iYmav_NiaOyfihr^pmvAjXoZOIiygp[wpw>cOicqa`SFt]WnBGsjxfsaoxPvhvsroevOiexvuvuInmUv]F?gNI_MOadyemIwcOiV`kcXmINlmW`IfZIfnuXqvow_GyMichNvmia]QjCAkTFgYFu[anjGp=WrkY[w`kA^tDysLi\\vFgdaoUX`S>dgfm^`fRYpnImHwivgtyfdAV]?AxBgvbxjVpqbfnmibdvlmalHVqayqoOdr`qexowhhW?^\\Ni[HdqpbsafjgdHFrTfoXfwtQhTvhD`lForCywVgeMnepiu?Owf?]wGcFohXvvAQpqfkOps^_dpyid^^Jfr:>ZZRL@^_Ix<y\\^?d]`hlFcCafVPjEPy>v`?vt\\Gr^oqoH`pNmJApKp^yXdZvhrVcops]f[@vkNIo_STKBsWf?MunuGaWy:ee@cc\\cF=qIlmGTAci?S=IsROi?ihRgXg]CUkgHaGVsXaEHu;FJ?hxeemKSiUrvICw_ct_TFkgneBYEYwIGY=Wn;Y^oLret`dQsGvoofcf`<YhyV^J_poXv<XaHhxXojoNktvdIIgIn\\cXaTgx[Vv;Wvgpc\\IcLgou^nQx`qXi[Hfa@c;WaBNbJPk=HyiykoIoaAybYgtqxia\\Pf\\QIa^N_HnfcqgA^hi^tCOaC?xQwdHNgl>nPgp@gt\\_hO>lgOkDXlkfk@WZdg^wVo@y]IOlYY\\^`ggXc=HxF_]Dy_WXjWPnGhu=^tkW_HosWWjQHhGPrEqkFic[ahPPpSa_OVe]hmcaw_if>Wr[Al@fuvFyaqptYxWO]Fvjn^]Wpaboqsv_=OwNXlevfxv[n`yCYyCHkeXiyg[sO`^PpyoxfqmGQisQd]@pjvwFqp>inkf`<qh<haDgoGWdAhflY[pOcpw_m@w_XlVhhPObNPeUfbjAmow_ufuWgmRIhhFpugc>Xx>I_cyxJ?`UAn;Ai<_`sGn;W^sP\\g^mCOwfAopVlAayfXlnanqPZDNno@v;?xghh\\x_n>gOAoPoeIn^w_lgv^c>]HYdgplYoZunx^wfP>eHO]Nf\\Hh[Dxovom_xcRq\\Zw^EQpmYtt_]lFiSFtb?u_`qI?etQlbO`Bo]yOmdhm;fkXornNwPxd;?jZyndAkpHmFFoV^pM^ZYffYv`mNx?PqSili^q>_dVGt[`v\\vsYa[vo`SFd]NwvW\\vhqk@wkVaevh:`mKQuT?Zt^nHgp@gtfQuZGsWpnlo`BGvfgldgrs@^CFj<YivoxHoqDvmlOZu^yh@vHNdtpxrgpropwwoix_Iofx_sHGxWos\\gk;Qvth_aghxVlkAl@Xr[faPx\\;pqAPtgHZGvj=O]WQc;iaOxl;fhTf[d_esIgwneQWexPkvFa?yfiLq]PCEVIxmLipAMMG=k`tO=Mw^yT\\AoJdWvHxQUnhekdhpdQTbDueLOXXLYpufIyHyx=xl>yJiTnKdKYTsmHr[aY:plFPyByLiTTeIX>UvQHLwlt\\YoxuWQANsQrvIQfLOH=wkEtaeWCdX]LOuyvwur\\xYyUmjQPIQjuqJcTl;dLwqXlmRqtUFtqJUOx@Lf\\wUyOIVnh^[u^dghtb`mnioX_ui_xgx`cv^TVdOyiV?]u`_`VaIXcdQwGQf_Xxghn@?igxaXAx]viXotlifm_[xHrjPauGuiakqpp]AmkwjLpw?_oM`eM>qIIx;XfTvk@_`fqvCyqbWZhA^?YjxOk`Y]Ni]HHg<_bMHd]oy<x]>ViNPsOAasaycOownkaqi^Ob]pbvGog>qMYuix`afmrQcjVi]N_h>i^`ouAdu^ahN_Xyhfxbnno@vlxprMxuHgflAmWov;Xhia_RHZ_iuZvhpIhcYjIowMwckItQ_xgyue^_dnom?bN_]FY]CqsDi`dVlYyeXItKwo<Vkwp[gI`w`orPjiVqoq`hG`UIfy?ttPhHnygvvkFnAapuG_phwjiaaGpl_dXNuKqrqHiS>d]vm`hsQxoQQ`SfhcPmXAimX^rFsY`oLwxXQf\\qngv^`IsEAp?gvfOl\\HbyFy=IhDw\\U^`rpt=a[EXstHvHqgPnw:PxXHiwHki_tUxl@acj_uS^pG?oM`hM_qmGk;W\\dgbQFjG?mpv^cgcTGtsw^[YnWXlgnkkGlWYg\\^mZqNQuf=VMKw`geeoHlGejafEEWqkCEWBicGDwG<CWaMxgas>KeJUGx?sMCbVGvoCXdiVBeePub@WsQ;XaMcDwDvssrOEVMulgFD_ceWS[qFrWV@guj?wUmhqgUm;VAihjQHB;upYdMKE^yV=KDqMiuWySqUPusyiF>erKQFbEIjugOYHE[visWXexrsgUShtIvYUeo=HScXcgtT[U^KhWWwauU@gGdkFEwXYGejWsiQChAH_uw[kFhmuuafvCeJAgMefvMHDERywe<Ixnxu=qpsAnwAvF\\r?ak@uVTPqq\\wLpl;QqmDY<EYIqVIdNmioUqJmXjO=PyesA=kYLM\\imHISsMPSTTqpla`Xv\\SxuYJPnCaQOUq]iQxlxFlsNdL[akLeWrHYOQoipuo<R]Lmw@xs\\PMExl@ynaJHMwMpSoYjQarA>oP^eVYfuo`wFt>PaEGngWyqyl`ys[GdkgoinuKyjnWlHinBApONiYf]jpc`ixtwkbapXwnpnfGwugp_Jfo\\?pwhieih_ahL@orghFohDvt?QpQirDw\\jFwHQyUXj<OtsFwG>oK__LGhQynVondgo?gu;i[vyvLx\\dafmXuMhZh?lhIc\\PvZvaMVq?hyTHr^XmXoxuoxjWf]xWIc?sRNmxg[ywqWKYYW=TM[YsMux_VGUURihdMVGuTRiUQkbN]URAXK?gruvkoEKCt^WhdUruSVnYvIAR]OHsibWqHVSwMusOcDicwUyiq;yZodMCHGUC:;tQWwJegGwG?AELMDjGyIAb=kc]UEO;uVSsw_C>aR@CdGiIB[RCCBaawIIg[wWiYFZoh[_sq?Fk=ipsW`URZCD;awaysJeteqSi;TOoyfue<uV:Cd=uf@GedKe??C>utYIxiwUUYswishUbCoX`KbYoyuIBIUT:KbMCrneDWeUAuiXGIrwrFiIrcFI]xt]CLyuxIcYgv`[dykI\\YvAwukyuYmy?wiEECncxekWhQx<Yw>;Bu[i;CX]YSU[EmagROE`YutGWS?Ha?BXWuJwhH]EjGFN?cW=iIKeGku:wD<;B;YFgew_sVUmEeoW<ui^oSVUWq_d=YrPqUNmH>KR;;C:;ba=wUkbcQX;cxa;B<=CC?sXorfAc[?dkasxqYxiC?OipqFwurLICr?lJPjr`yWxLK@U>TYq@Pvlr?ts]AxD=X=<jZDNjHuP]WeXRo\\S]UuQ=uPdLDlc^O\\exvRXvL`n_yqcQu@ywGp`DflI?m<ikROgAqaFW`]A^xGomy`fp]Xn]xArN>jaN\\UYq[GqqVd:_d:>jcnaPp]Z`qc?cH^_m@tXFr=ocTgwWA_@@\\EHcQfp]Xdwao_hpKOcB?\\yqxI_yLawYpi\\FxS?ejNio_v\\nerpytyk_xuO^u[_fewkJih?fl=Xywou@XvsOfZhmL@vwIxa^dTP[xAyrI\\Yniyy_xgyqy[JP^l^pgqssQh^`[lniZOy;oueyqGqpFpxm>vH_fJNqSwl^XnYYmoox<?^lXhyovSn\\nqe?Fo:@kypyrY`xWwUVa\\Wle>pC?[>VjBnesI[Wgqsp_jOdX@mw^\\<nevYvYyq\\puxAjIx]yAryqiui\\yfy=YkJGnyWuvHa<XaoAjNqt`VoLN^;VyfyscpqmAlcVm=IhjwseXs\\uP]edyBiGcI[WjGI`eiT[b:KHSgsw?wf=dPWEgOwJaxqwixwSxAcB;SmOXmMSUqixEuYME`IyasVUgWv;sI=bikbWWuqEY]SskEBX_DngtoweXYhh[EcwbQqdMIGVuEMge<rOEhLiFbMCtYsMcFV<uTtKVHkGMR\\tl:@oDAy_ylY=xEyO_<O@XJhtl=lP=Uj\\tVJDyuyUZAL]<Onhxeqw?<rdiLJHyIeMoquQ`x@YKF]PY\\Vvmm<<K^<paUqT=u<eJ^aymxqYuQN<dYwypamR?t@Vu\\PuTa^>OZUIZ<XgGymBHl>npiF\\[i\\aii@HnWo`XPqDXaIhx:>rPNb`FvXhywIoHPqtHi;x\\C`tv@bxv`KwwioiI>gGQaNAb@FoWFZxIpxfxVo_gYuyx`R_dvF\\i?gPAj`xmxGbb>l<gyGPd`N^]vvhahLptT@`cGeUIr:HffVZPVhQI_QOdZG]bWe`i`Xxb=wwNHZGhn;GwS@x`NdB^ulhrXFvwop:ga[vcNQZ\\g^Z@xrnZSo\\fHsEnjg`a<ph:vcyX^OHoYx]jo_j_rJat@?]H`hbFkGpmJAt[h_DXulvuDn[hF[;v`:^a]yx>?ZKPl<figPfSQ^O^d\\vlS`vg^x[x[A@tOQt@wbbGbUoZIo^fXcdPvW`wpHqVV_kfsTwg[oZNpvA_c;>bnQvJpegfr\\>mqwiratNodUHbyhi:x_\\NmgyiX>rPNo:W]IF`nNIUEHSsNah_eIkccgAvhAWUSXr?hleTiUCRAWEAyjcBZ;SBcEJKsfuUdGFqYwJme;;R:wTLsxYuvB?FPKeIKdXgDnsH=ou?giHstKYbnoS]aHySWciIbKir]v:see=H[oHE;cCmGvivYsy@yYx[YXgE:QvCSFUAE:Ay<MV\\ac]IY\\WsC[vnaDNGt>kd_EbXmRbqd=AX<;YxAd=MflmwZOxJKFLCej[Bv]bfsW?Mi:[XnSGDkU[YR`SXbiwUIeRgIbSxAAd<UyqkTqKyD[HU]BS?ersYs?X]]ic[HueInqgvAG?WEVwbw]HI]CnSTc[x<eXFsF>Ss\\[S@ucborw;DjQcIwi`;TbyYsGbfqIQCvjeGTMd?WSHSGwuiraXHIcx=xXGx;Wr[UeQyXEkv@EdXyFy]R^_DWSf[ACteIlqhhIUt[h?AWtMYxYxRgi`KYM=BTEC[sdEkggwS<cs_?c^WROqTq;iueUrOhYWINmSAIio]SpweeMwdiHkOt_;EwqExsGxyrXKIvCw]aTfMF<Sc=qyfID^QSS[fLEE^QSlXytLy?uQjax;tqxYP<`uOmQNeR_tTAYLXEtiuwJmjhikc@nc`sIhxNdqALVTDLk`rV]r<YLTisGpqyqlk@vTeyRYYCQXPAkCXo@pxQLXQIpX<J:qjJmN;HueHjIAWDYqY=JHaYCYLTPXiUvuqQ^EUA]NM@y\\DXdgxgyuT^_dnmBX_KObHy`epqixmxWryxyhNbDgti_aEvwLVrVWs@VnoitgqbaAh[ox\\Ad:XwTfb=aw]xh<Aj@n`iN^k@\\^F_nXyGVwOAaJVonHdHwZ[q\\:^cYHxAyiyOrINnB@d@obiwjRNhqnk`Ik?fnLyb^Hu>ofKIaUa]jqrD?gqVljOZRpxdAdhHiuGvJFvOvl[I[nqeWfj>?[[`sTawVhofF[Z@dDps`?pHwmjIvQx][ix@?dJ_xU^s`?p;ivoqotfdMWbuPl;_^NVr=PfZGhpfu_wxsxmWYqu^ZoGex@j]AhZ@_?>^gnbjQgYvpN@`hFvJhopvlQnu_YmnWZwqfCFoB?[CPstagqXepX^Efa_o]fNq>Y]CxgQIneP_PXflXjpAaZf_?wrQYoaWiYfv>waeW\\=?k?_^rWb[>iiQnVFoJXhyPvywm`Grp^m;_vUVZRNm<dJoWtqbqAGAUx^wcDUT>_uh[g`Mgu[R>OXg=GSuC:GGxcHUyHgUdh?U@CDu;xsoU;qt^QCGmR_YvNKRjuxUKxEEhtQCtYTZuuCqeEUu<CH>MBX]B<sHtcynYG`AWX?WG]tKMRuODUms`?hCGB^MeDKSxEB:YDTYuM=FxGIxOuraXEWY@yBuIiYmyr;FtuTa[hTMi<CIQSRbkT:Qy>kgmueAUwc?e<;D\\cDniTOKwHwcxkE]]IXSVvktKucgOUtyhMuDhCvEmr^uwMuTIyr>uSSUx[MlHHmgul[xO`PlDXmmHtf=lleJ>]J:<yvhOjhmmuKstJSum_lyVYW]ATDml[PnYywiiybulNIXgxKomURxrXMWEPl>hv>DVGeqMQwJXLSUPpiYdAvQ<WYTxOEN:<xNqlYqrTmTYdnDPKAXXpTLjIqgtqSES^EOlLmP]KS@uqqM?dYW]YAPn\\QYAUXXeXXhUgUugAUfEJN`lpLpxIyNmTvPvMyWyqrYiRCDotYQttLcDjRaYPxyePTAUYMAL=ujkdJZukZdLt`qkEUwhRjqw@=vxLW[IsRaqK\\v^qMnUVBpTkDKyXTRMkExyJdR>LTYmRV]QXxNd\\TAmK?DWuPRsLNc\\RV@J`pvGluX]O`eLC=SodO>MODLYgQtXIWvAJZQSnDtepRaMrf<jcYtA\\ytYnQluBEJDpYghQmHmNelN=KXAT;LmRXRmxnZHmMpoXHQmuWuxuZMMjtvTPKfTvjUMqHkeUpJtuais[IURMMTin>LJXAMdlj>xjpuKD`mTQU`XXU\\XbQynAy_uUJTVspN]MKeAsnEKKYOhtyXIQU\\y@`YGmYpiK`pjxuoIdxEmqnHmm]PI]PO<Sw<VueNVhKLMOpTYMiWbypgYnWDL^QVH=vshkDYmHut<uoLara=KBduriKsQXC<qw<jJiK?QsiEm]EY\\=o@LNITqDIR>MNoTmHYVRxu;Qm^xoolQWYrwPv=hqVIQy]kxaWE@KcTn:IlLHtMMmb\\UVtWU=PPTuI@Up<QpmsN]uraoA@mYAUW=QExXBHsx@YWeQUdLDuYOtUsQVKXMoYQ@\\PgmxdithilpXV=Uud]ofeUTlLRdS^QOH\\lTHmSuQwatu<MAYwoaJx=y[yjwxmVPX;ENUXot]XflL>XSVevgHWxUugEw@]uqhYB@S^Mjm`pXXuJxtDytfuQZHW_<NqTTmPqmQu@eYSTkS@WEiWRQLS\\RxPjC]KymNxxQKEtkqxgitslsHQpf<RRew?up?XO<PSYURq@qLdPjQyCtqwYQ:DOKaQuMYwiWJ@xJaO<yWA<xtyQ^MVOhpw]TF]xXLOrYJh]r_QKptTBqm=QOruK[Lxo`Kb]MX]rDdXniKWTj@mMkumW<mxTv]yWyDvYtYSXkEPywqJ;yrmaN:PR_lpampBXVPus>DxthNkpj<`U:]baOyB>sw_x^a[<w^GgZmHrUHg=gwQAlXoZYXdvfiri\\yNc;^ltylpwlP^dsnZix`<F]S>_wq`DFpUosRHqQhuupg_WjgGtHi[WvjoaloylKv^fintqkRhqLN^\\`j>Wt?xjXw]Gae^AvlNneIeUpxyil>NfphpqvbAqxnNpgvleGZHXaIWpvQivagBflxw\\o`gRn]undifgx@jYgu^AgX@im>o^`rWyaX__]Nar`ocQ\\`Wcm_urgj\\vooiy`PZsHy>>u]?sWaxGFytQ\\jYuGabsqpsnmano>G[shaEGZgo[A^Z:NnbnU?xEOxOmraWeVYIx;I:iIlyrLAtFESjqyJ=bXSW<eTd;SVQVi?tsWYWOwdiVpeYMcX[QBx?WFmxHgXoaENixwaDw=S>]rUcFfGRWwSiaD_CXumTbof<Ueo]sB[GPYUUOENCi:OTUABFeDoaUFCdBMCuwhn_hJYGv;rFiTJ?kZ\\vVhuMEQj`XEqvL@vqYyqqYvXYAtwA<UUYSviXQIq?Twfxw=yX]iQsqqwlqFUyjerl=kR?re^\\shaYvab?lEgaBHq<Nf[`[Loa:>m<GlUYplYtU@lOF\\S`sGnpRGfHQvu^\\OfeJvlLFqkot@Am@pgV@pvvs?@d[h[Www\\`]qIf`VgFGxnYidqruq`WpkGO_Zxop?lINakQyAysB>kLN^C`Z\\GZCF_g^j@Ab?W`[nekwZGfqxytv>nkGbD_lJadG^kYVgBqbw>p]o_hnyO_bZfd;PhmIbjilsOfd?tG>bBf^jGxEfg]hk>`x]nymI\\BPsg_\\h>u>Qt[fnZvxo_[UFe>v\\KyveybvQ\\EAvvylxo\\NQdBFjYpyAx^kvj`gakw`kPwpphiIfwicqad=wyBWxXoq:AuoqdqY_;aw_A\\B`y<x[`?ZOph_WyZ?ou@f=QxFFoQgw\\hsSygG@wWgwqvnYFe@QfSotvG_Ah]XipSWkqxveQxmp`k^jNgb;pfF@tcpnaiwfquxghMXwlarTx[DiyC@ugYu^?^=`kI>mxId;`aqi[@Wq<pxe>vvHw;f_:^kxQhiAbi_^nqq=H]o@ZCqf=hwDyk]fnVwfAilsOnePa`@h]NlrHvxxliqsQy\\YporQhkIrxogSxat^vR?ZyQygY\\VFw`NmSFwjQhVYlkhopYcuaoZxnYvy?hfTXaPifwgsoGv<oqR_cpi`NitMA`tiy_qiDx`WQh=AtjVmb@gYIpiapCfn^VvM>ZrO`r?ltAlmF^rpyYyujYvIg\\nikXNhC`\\X^vyIv=yj`NmunepYedYZlOgFflF@[Z>jB?b:>`?weciwGxr>admAvlyvDi^MQt>ip=_dnX^EavQqso>hExe[@rvirrQjgYfkP_>VpgQrTpZZG__^dnA[DF]i>ZiN\\Svyfw]Sya`wjaIgGG]wiaA^pjvx_YyMf\\gGjoXj:^[bx^Y`o_ObgYg:`\\RIqCHhy`drWilyne^jVWd?ptCQrq@aW^pXqiqx`:pl_XbA_ZOyrK^pXg]_Pr=^vXp[wx^]F^WGwtqt=xxJYaI>gHNf=X_JPb_ho;A]oGdGwj[q\\XHxkypYHx]ye??cq`]>veSx^`Pt>wgdIb`IvLYlPHjxG_AxuYHZZ>pya\\vheRfcN^voqoMIZiOn<pm`PnTnmiA]laoZpihqvEqbMfjAHu`NuhAc\\ArcanQNhiVqqQ^[N\\T_s@`yFpu[@wXQeW`w_Ik>owuH_xirbAoaqymVa_qcDHv`w_nxk\\Nblq_lId?WqqqyEi[WFnOIjYVtXW]APoFHpbRBCFpUT_?WmqRYEgYghC?c^]VnaX=SrPEECuiMKBhavQuHsOGI]GnYeDkeWGSv[wUGsreDE?VpYHTgdX[Gb=gQmy:aDX[flSYH=Iy?DewgFyp^qRbQuMhQixp@lvnMkcilYTw\\iPmUXeloDYLOdspyVRYrI<OvuJTPvQqMYPJrxYv=HRD;Gv=Y?;VA=GpUupqwG[GluvMKG_gs=;Cp;HUAs^[v_?EliSNibEGy<EHSYIPitmAhJyUfyTGsFLsCcWhAYD@ugGge[Ce`oseadBCWWEHl_HnWXK[FxUY<[uK]tNOD^CH>_cVMr\\AhXeUoGFa?gJahHKgOqH^ar`usgGRHahK;gv[smqt@?R^mHe_WTYTHkr]uHA]C[DX\\xsmuKAtsDHtoHYuHX\\\\LuQYeerc\\my=SLQMY]pw]OPej:<mxIJspu=eqNajgdT:QVk<kRTsZmXXPvA]t_EMOxOr=RETxPxwI]T>XKk`tveKxlnbYsalSoytU@lOTM\\EoBqs;Xk_xwrDyM<jeLT;eQqtuNAtvLpAyrW@pNQK\\DpXLLgQQlDJKLnQMj^DYimXZLrU@vw\\N<<P[PotiWLtqMlPk\\jF`o:uP@@wNXlBLqG]Ytiwa]yryTQ\\n>ix=@veQx>UjVMTZQsPITt@YtLlHpyvmJIqwM]xHdmfxV\\xqeaPvTmQDm`eJ[EVxYymUYWdpAhrPqOupSnXQtxUCIThaVqYMPyYeUR^tPYYw?<rAQYmuyU]SomUY\\jZLXQtmrQqdXKMUWQas=XSRUS?aUC\\PutSLxuoyWqDr@@Rf\\pVHOkyRceYEpjgTL`yYVqsMpwvhlR@Rh\\QY\\mvPObxwWpud=nytsntXdtjumwsayoYySuJvHpVLwwUJ@An;PVVyJalmQaydEKDpXUQMneTX@MG]QndWBmteTQpYUvhK\\MVP\\sxdP_]pODMlyN:lqNLTqlklhT_xpTYQJMJZEWJuWVxtaTvw=Ri]P<AwDykPEkVeV@iPsMVpXSbXm[]T^YxADviEQIyVYEo]pwIuxhExciKuanuxrATysxRxAWEhWS<V;auK=pAxmaelipvHhsxaU[@MvUxyxmxYm;moqxrlTS?eNP=jOHsftJpyXYToVYugaOIlYRiTYqqJ]Spqkoexf\\oXLumURWHvA\\nJYRMmoZ`Td<nNMoZpuPuKfDLq<ti`RJLsgqLghKGUmYlVaXnXHkZlLE@NN<x<ivrYMLdSEDnfUJ=eoGvxootvwirG^>Pbcopl>r`nbJHsfwgiXfNYhJhrLNcew_cge[@sfpsypxjpihaswIlJXssyla@[qXwuibvgoYym_Ikivj<y\\TaoiQnTppp`nUatq_pnWcAQfUqtEPa_x_Wqa`Yo<?ZZYdcnj<wa:Pbh>plQnh@]lVpoNtraXWRwqFA[hVkxKYeVYgiuyPAyHcR?=rOOY:MWXYwFuIP;dbcwrcDseE=ERhkd=uUt=r=quD?WZgGeSIuKVkmIohQJLurUM`eoGhkghuOpwbARXQUg=PvXObXpt=s?qY@yM`HKgxo<uPFYmQmWoxPIlm>DK[Ds>uqNHRWAydmvKaM@Iv?]NQuRIuPj<WODLqYuZhyxYPx]x@@TKyOImxT`QKavF\\VQ`K_PLrPvgqxtqYkdYNYmeInOHKopU<UXkpN\\uT:DuiXnsXOTTXB@xt@J:YkJIqm\\UQQQlxvpeyGQP^USQ=xJEwGylKPUaDQcimVhWqQUuXuQqtfTWoHTmqv?LT;LXtmyTTxMeJITUaDN;<jCpX_hka<Kjyl^]V>iY@yMcUmptrdEmjQyl\\KEujt`QtHxDxvkhooUlYPwJxtYuJUMMTyKOhvCYYuPsaAwFQn=lqFILe\\OwMPxtyD`R`hqoxXGHnN=tX=w^qjpEuCmYmUQPHPGqu;@pEDkDEK;IyXeOgyJsuxZaReXnLym<lw^\\vLqvf]loYyRuTy@Ttqlvao=MSZ@tNEnIxMKUsAEvkxq\\YtiyqZyryhs>irpik>toEYx>ARmTT<hTbURxxl\\@K:l[^Ofp?voyh^O\\o_a;?bjVltHxFgfGfq?qnSOdBFZb@lMg^bxrHPovx\\pvZ>GdvpymgtUwseNXcD^QCTKDGqFhoe:QYDwsXUxEWyv=wdyuqirCWGykhu=rpESvMY<\\wMpSlYjQerAlLfTwjIVYmvlUmDHuoyWs`OymtEiVEhVWUm\\xNqtunyV@uq<Pll@ubqWAIN[loOqYfMqdhoLuPN=o@<JiMJ?@wdmRXyY]DJ^LODlTiQrGglDN\\;@\\DokA^dXakUowNw\\:xpwIwHQpxppV`]jGaPvnjiopax=^_bWkvOqc_cpxjeVfSYg\\gnm?`UQ`TYxdofpqi<yaxIx]nyoYtIAy_ylYGxEy_yVvYyyvYa>wg>fnpppp?]CpkXgq:@mQOb\\x\\=WpyXiU^]gGlsqm>Nc_Ds_U;cfDUDwcy?kd[OfWESvgIKKUYwwk?wGCvZAt;aTJ=GS=sOoHpYeQSBB;I;;vCciXqsb]w<[GRWstAWhiYQeG`]v_IccySGyBncxWESoIFEye:Cr=_iVWuTSwYoEEkwkIximGskviycrqFKMbqmuFoeTgFnwtWWdcOfXGG[whvyY]esi_gawcOUIWaHrYSFgxXAv?MWk=VEYwe[WCOr@uugAR^SDUweFiI?WwNWBTmc_IxksEG[u`wWyquZwwNGsjOS[uFB;B;KBsWfsMWnubnkefkGrEfKAf=etv]dvmXJ?vCUTa]iycihMuC=bMOvGGt@yH]MW>ew>SYJOg=iS]KiN_UTAv[_yZUIWIXg[S<kVQAu]iET_WX=HdSdymyw[wKMWw_WxuUWeYyqv];dZ;uCqwnMdUYv]?VncS_qsbUIwYfF=gKcDPGWtcehMCPsBa[fmkfdwE>;IccuwSy`wX_]yRAfv]ICetKifc[UTwF>UdAaI?Sr_MEVwUJSUFOsxiVWIBfavEoFcceFOdYiw^sYpGR_Ax<qRaCyMGUDmb]YhamEQEGB;dZysMYv@eYT_Clav;;sWowLqVOUIxAXWghtqCL[u;MS`WtNsCu=scqcLEiPoFIQvusSNOtcAI?WxWYtMyi>qwGoxMAukAT=_iaEWmgIXQuhsrCAddETqaIG?FOwBeIcF=WReCMWDpMx_uX_IuBOsxiTWECQqCrCEtEesQdsihX?YKOgOQF_Sb;MspuFq;YXGHoKrpidI?Dv[DHmfcCEIKdAIw[_VgOSkiRsIuw]DIqfcKEgKtZmyVgergYgIIpwWvQtREylCFRefGyFW_CD_vqwgdybWyD__WsoRoOUSOxCuIsgY;MxigtY;uWavIwtbUtgoE_mUQkVc]rqgY`QiGiufau`CbvCsPccPyiVsXcSwM;ChAGOqbuKEfYS=OfEyvkYTs]hwEscaUbYT`cCDOCZ;CKMWWUXuYWS_cbWUGQTRYhrmBuCY\\gRdeCIqx\\SwCoUbyVa[Hfsbc;imgIXqeCuHGms]cWlQIt_dV]tmCrHmSawclguMkWLiSHawTItPsiwmGFYDTCT]kE^_VeqTsKXVyVy_g?AY<wivqtAasgMghgxKCrWcY>AgdyUsisbUVeoUY]DYoubIyHmx=wT?yBI_douGxUwUIXIGCoMdHiVTqe\\YuAgifsY@_TniGhIw`_XqUrmaClWgxmBZsfykImGuaaFq=hBecvQgFau[aH_Ud[hxFapa<J:<\\C_b;_dw@wFp^WOcuvdcwjmiddplm`\\py^cGeovrgNctTSorlsufqxOAe[;UVQc_swQuDbiWYQwFUt`mdVUUH]R>Ufd=XoaYx_FOWWOMG@iyNkUqiyQer^uFjeTWeixkTtCckUc\\qWfetIgyYCb>CVOsu_SW=WBsUH`OWjArr_Xamd?IsH;djNiog\\wnfw^^BNrhys<qtUgxSwgDItGGuAYZIO`hGdlo]y@uwIedqqk>f>go^XmZ>ibFuTfgyqxVDVuhC=CMqcdIRicgbCuIkxSSVdgBQUvu_VaUxsoUbgDYehm;Iw]DGmfcCEGKdAqw^?Xo=hPSU;_wX?H_SseiW_MRWahuEywwWmgeXYYfwhEwd@cb?GeYEu[qHbevumxwuyPWVwMwckItqDwUyqqrqUGdKDKCtrIddGwZCi?gUHkXXEDVoIDwDU]HtKvoSicuHsgYxKxrge^YCaCGU]gLehVwf^wuCmSYMddWwwSyrWR_aWLOfxSyUYyscyNcSaIgk[F\\GXQOgcAGs]weqxRIsQcSMEhmKF\\GHoUscMCi]BOkXY]dLitAyHGwYRASygEFwEbaTvEyAYh?grAawVIiBkWDoTIUDIqi`ETkqDVMdaSd[ed\\IvgERfQX@_TEWiQab?=dWYD_OvVeEyEW?yT=gU;YhDKHAiTDKIw[vmIiCIwpYTvcU^OXoOS?aWN_IHuH?SxWWcu[xQoWxicj]B;ISxaXGoVksuJOcxgTwmX@Scaiv?IUpucbgdIWTjUfwACX?H_SxmCxbMHbGTpkwYevKQRFCCawVg]xgYdKAfPoeawVasSrkSCaVLOrxsHsgYKMGhECpYVdqdM_DpaWrAB;ISxAYTOxiMujQE=QG?stmyscyffuVvUiaIEq?GwqriCC^qCaEgo[eJCt>OiSiTZCBq=edWbCaIWuuUaXgqEDsFaqifivkubiSDBYDHUTsiW^mRMGV=Oh;uvUOIuSYcYT^owr=RsuCB=XtIGXggLuvFERd]tcSTpcIuESnqFI_u;McaWxN]WFsXpWtCAg=erbwWP;DugyNcS`sv<UgUObEQiuoy=GBOUtKMxssH@[YHuE?UtSMGqmRaEuw?v\\sIuihBOcEmFnKwNGGW[eulx^dXi@SgQlvDMoLlNlSYmw=qsa=RSussUJjXxRLTsEvqdm[MOXPwntqeETkQlvDY[pWp\\SCiOkhvTUTpAyfIXAPkCAPs]jGtUQ\\SLmXhAlAhkfdN=xWuAXBlWDlNe`xrQP[HR]tScAy`]Ke<la\\m^`WoXqfttmPvMYUwtu?lYjQlrAVRAsMMX]xsJ\\u;MS`UWn<mFYyN@qiEQBtU_IVXpL]yymPxaMPZPUxuTvqw]@WttSohVWUmJAnVlNaQYSAuw]LY]xgYnTdjQxsduNYqjIMMoLn^qYMTuaDokHQJDMqEovHyfUxl<SQqXAALqAoEtOIhTDyn]`vUAMa=uwETDmfDIvPfvnVsPybDYygyghH[QvhwVwsH`SImIai;gewhff`hBHh]FcXvpU`axA`?YlSO_PXsNgoPGoV_sMOaXn^yxfmnrThuAIwEPdpPusNaXi^TG[dnqMvuPp[EpqSixA`\\WHfK`iha^gGgZWh@gfYaaiXrQiqVX]p@oRhuKviUiaNnc`G_YowfA\\:@kbO`^pbp^aev];ic;AiLPlmIkTnmjolTVmivlIQx;Xbdg\\m`\\qYaqPuJOaYWmGhj@hoSWaUAoYnwjOhsnfRIua?awa\\Iq\\chpXhxivkNo[i_pAwfJPpgH\\Kfcbh\\O>cjOybNmgVdeIhnvgYw_nAeGQdl^wSAgaXxkWc]g\\=huo_oqXlCfhMpclxbUWi?Ax[oum_b^xawxc_NaZYnipwUyoGYkixlyYb>_jiq]MNiyx[Ow`Z?m`>ZU^gHHuXYj;FsoOtL^dEa`;vj=n`FqnIXgdpZ=Qh:_l^>iigpsGv?@mwP\\Lf^MFqDO[HVbAHfR@`GW\\`h`UogcOm@^c=wjTYdjItB>n`xxJPaaW^[Vs:pnT>hBOtSVynN]JXZyGrIw]W@cqg[BInmymeYo`auvFtU@c_OyBg`eVaHWip>fRpoOQ`]X`kfhONo`?r`NcJ`qiWwmHooAtQIZk>\\<xhSpq?VtlHfp?rZh:aTbMiC;iv?dvOFVstPuVEAb`OWJiGU[iL=B\\WvgyXduU?GwjQFZCcamGyqimguaOuZGWJeX=kdGIBQ?Gwgu>Qy`shJItiIWj_E\\[iq[uUcXgqBmaim?vjqBp[wYGyDeslERD[eMquIah:AtZOWt[Sr;vlQSJ_Up;BP[XGAbEYYheirGeK=TOeC@GW;qvLCFseiY=gHeghyYpweoOeBGIxibyIFDodOqRfqg@keAGgoGTQgS>OGcWsqKxxSHI]C_SbNUI<OivWv:[GMAb[AXwUeUwXUOEtQiGKtskImwd<WwYsi[IIRerrwdsqHYWyJsV_IcCoY[cbDwh>ovHWF[cG=ABVuf?QbuCiuwsxKXuYYAyfq_YxWi?yBAkWsusvIHo=gdoBMqF<MCf]eBSWb?wcoBfmu:KB\\qX:wVSKGtQg;;iH_c?mvqAHZAbbKY[KcHgiQqYGYVOWtkCfoYyJiGAqXWCu\\qckCuu[tOYe[EeJiXwmhnqukSulOv^AY@AdKKyEySrYBp]rukBTwrQQd\\gej=vYwi=CxPGc`]WQixt[vJ=BgadDcVYABnwe=?y=yYjapuquETLtPo;uPF=r[QjbilH`t;yoQTTeYROiOr\\qL\\qemY=ato=RNtou<LjYSqxKMUjdEY[dwElVFeKdHOXaXFmXlxk`=J:tYLDTkYy?AWa@LBEWBixuAsWdu^dR=?^<fo\\XbH^uWQpuHkDpjPYrCyjtww?IZk>^gggZ^iQ^kpN`SfZkFeXIpqGkCpi[IZToolomJYsj^[mi\\EPkYO]mxd:OohFnLwc:_uvQtLGdCixJFuTY[cYa`YiQf\\Ior<PeC?n^W_[pmkqgIN[nq^lfcQN_?XuX@vEA@pNS]xW<x[@QNETrDVfEULpy@xUxdwypUixRJ<o>@tMUKuYyZUS;MroYNxuY?\\mcqOFxwhmPDTrvuuvyuqqP:Hq<do>@S\\yPRDn@LPadkN`Uj=qPtJT]uUTVh\\yWQYmMTMdqV]JyQyj=Ym<w]amTIUXEkS_ebFj`h^;gk?>xjHxohfb?t_F]tymq_rAA`FinRnZFH_:Ffhyfyand@k_plJFkCA`>w_LFjDqvq@`of]HPlD`uu@eqqaRprvAjhXqWPwxigZht]?kN^dr`nNNboisigcbQ_JPwewiPqn=A`FVp@hjxWqqvAmX:IXDaTpST?awfeDA[UuorlKeF_ThYB>QTwAxEeIUaY?qte;xVqW\\wTCCF>qcSGVxGER]TvqbcYslkIGEHucXECc]WSFasXEBoUU@cSkqePEEbyHO[xTiDNye:;vOcw<MCOSF<CGJSRBYYguC[UbGiF<iwxOXR_VmeuyEW]gf\\_DC?vysea?BxKv]YthWcV?SDIheqfZWHFSxaQrNEthuxZ?sI;yB;BMqEXKT_;ekCC;?S^AxcYcYYEteEk?ti;yrQCZYtA]wnUh<=EG_briVgQYa[SGERuwfZGyjIVpMB]yrDKH?SELCBCCdR=vIeH]EtbuFJCyqyBvSBrmyraimQE;yU@mv\\ixsaC=AHYyB@ug<OSwgctUXKYcxIbA_RDKYfCbFmGlgi<;B`[t`_cDef<GuvscxKSSODJOSZCDKCV=GbXef:Or=yWrAyD;u_aEDkc<kELKtPYSVcUc?RhmHk_ioYXWCgRgCOCi<?upicSkbsQC[ivIyujKY_;byoyvID:;vFkVKMG_ADE[WhIdZMRiyxJqdE=doADdiwLKBymf;sF=AHFSrj[;BmUXR]Tvqdk_TBIhBkYtAhpqBX=h=Iwl=r[Ueg=uf]IyOVduxZKUJGFQKRyMgSMCFSrjl::iYZETkYeAQb`?sJgvpKYToCWuY<YGfAXt_Rref:KFk_BLCcJyds;d>GVRkb[=E@:GyM=r\\OF=AHFS::ls\\yyuuW=<M@HVR:Zmig;Qn\\Vrj^[==:IUj?gBZF:jm:B=:vF:l::I=ZF:jm:B=:vF:l::I=ZF:jm:B=:vFDx\\\\SbhsLLTK@J^toBDteDNN@OZHoTxwg=uY@J=LSh\\JixP:`TMUqgMtPHJOElK=S>=lcuUPmlPHo[xtfDNMTK[ttuhosul\\MWw=o@YYUEXY]kxeM?`T>DJCYKK]x\\<LCEnNqtZeu^dXELYyhKs@l<]N[TRy@yTlj[=M@:Hyx=yyxwg=rqtj_PnLTkZPVeDnWuTZATY<lBhyAtYvmy>xQTiYRPUIDMkiqG`yHHTe<swyvI\\Y@<xsTT<MNKuR^Qs^dox`kNEn<pUyYPXxnmxYEtmO@oHpX[@jDUqApyayVFQlJ<LGeUc=uO@UTUL?`SCLoqtjLEOjpx?HJOETJYPf=K_LLJ`MiyV]ixR@wOLNB]pw@lUiS^AnZ@LEEvqxKYHxkYRULWEuRmlXSYJTMoF`s=eMwpuA]QwpsyItaiY]\\TXPXGTrj\\K=;`YI@xFerm@pJYs?AxmyJQLXO`L^tl=LV^PjpUPHtN:\\SG=mfpNVyLKMjQqQuYTjQSjquZDSU=N=pVixj`MsmEoK=kOP]MadNYnHY]R_h=^`SFl:O[wAeMfasfj:XZ:^cbhxVNb\\@kyxymyurIya`[DgyiWq<Qmga[Lvqd@lDf\\>aqH>qvH[NilDNrp?Zj@fXGtZfgLoZoqhYNeiv[Yi\\QA`FVRHF^sqA[EPkaEo]INye:CrECtoOyauTfoCoIh?ot]Ob<iGNmG`uIH_BTOu]KIgoGnoUHKvGQDpEFNCdZ[USoR^kFWAsXWwbiTX;xAYg>_T\\mU[csxKGKCC;wYyyBy]saWVtSfO[d\\khq]hlQUn[dDsi]IEH;cXihSAc\\mBgehEoTawc`MsowyayF\\Ud\\=Cswgyob[=M=A@RxwFrEymIERKSMcyc;BugCpwHT]cGkg:]CkwXlWwIqbGiD:]vXCegUBf=rvEylibC=u:CvDaHhEb=Iv:;f\\OdeWRDIuZsfL=ygYxVQGuwCkQdFCIM;rqcilIUeURsaC:SegIDjGc[[r>YUWAWucyEqg[=E@@@JYyKfLOXHjXytXiUfLVRXTJPSDLQHPJD_]x?y;QjWY^[^mF>^LFk[n\\EFbvq[>>`EWdkWv]PiRnj[?=:mS>gR?Ydk@PraXamvUER>]NO@RmpuAhoVqRutN[YQJILYAVTpJE`yFTrj\\[[;GYakw`KGTmRYKSugC_wf;uHg;uVKFvGfBKVk?C<kg=Kx@Gg;EWQItpOVJWH;;BP[X_ocDUT;oV:kGckbFmG??rKggLaSOERuwt=uiiGRq_WJciK[FlCC>osWOf_wxJuTn;Uj?tQqvLkb_GfgSsJyDQAI^[rLCBf_Sl?VnYubwh;_RcCBKkBtQXCcD?uB>aBXKSC;YYAe[MRM]DnatxKyweC`gs?sWbCbNMF<swKgxcodKyb\\_xKywqIfcqDfMV:ChNMCk?beaGKCsLaDNYYtqxQSeIqVd?WpSyREseoHrUVc[bPQs=att=WqWubixo;EP;Vm=cB[RL;S_KRR@wG<ogqNdqVBdlN`PuxScPj`pV<iLu=RcdNghOOipZxxUAWpdS>MOS\\wUirjQPulPliRiInctP[@Wt\\osEq^MTKXmFaxuHUWdu?Ht@MON=joAt=PlJt_XQ]QhveaoWVsgq]nVf`y[^@dFFl:h[`^qBf]e@wEafn>_oq]n?Z`Pni^_<PeQH^ivxmfh[>lBhwrftTaj``pKqdt?doWZ`^]jGkLNbK@]\\G\\iy\\VO[xojWVgIYqHhcF@^OF\\;fe;geKyhVp`wq`I^_ohktwuRgiU>cZnx`VjHi_YV\\dgy;f^?Qbbvd<o^jici^na?]@HFG>tl:uPa]SW`YJ`m<XlvIwddXXtJn<YfQTgtM_tp:LjZanZmq=UvGxunUoSMkAdu^uJB<JCDxPdSXmMc`MoUljtyqhvAIMaprrusgyUXDoVF^ax_DGwvGlDivvfn=Ykn^mNn_I>glos]a[d_LGSDmF]aDnmGf=XM=HS_f^QvMwWKAcBoU@gEdgv]aDnUCmWwVIUt]eF?gPcXhGui;TroPS`y^=U]`nIISX@XLPp?QPOXkcMkt]wmXWgqYDyXYmxRlP`pWk\\ShupYPvcaQOXs?Msady^amYYrWtoKAxVxJW`kc=tBMlaeOYhukQMGlrUHkF=WvAU]@qumlIDxTAjPpLHmRNASuAsHtN?XkWLMHxUbiVv<nPmuImX:`JIMmttWXtv?pjWqJOTl[MxRyVqapaTQnDMq@OcILPQxFyR?IvftYeHurDyWXxiajrdppmQEIqp]scarQhxi\\UUDtZ`MXxvaYuI@vHPTo=puTXadkjaqhHKNduc]MWqqHpW_xu[`pAIS[QwjQmNmps`PYEWBepbXm>tSVPoIXNtEmF=Wv\\wJEPvTWQlq\\IMpmSXRIQuW]tauUpGGI=YggI`ScNIujyCMGROOvxSICkebcDUcUT[C@[xRQGMMuySS=qwCwwgST\\GB_iImQxqiDcuhowfVUXCgEMKEoOd^qUmyEx_WAobixtFmrn<W_Esi\\ooXubEmtTrkYut\\PSDt]ePDmS:nqffqoW_Q^lIYftgtp^wkOwVgd[G]@HF>=\\sq@sGhR?ILoLnHMJfaLhpkppqwEYFQlimQriX@UWnPq\\ij@Yr[dKdEt_AROwkMOtaYnbGp;gu[AmXor=Ng^hiEGjKImfqgEv_MHZOfypOh@W]eGgIQtigrQNrXhm\\XiOFs=_qJW^v?cFQ]LwnTWndo`rP]fWqMadHqZc^mgTeks?eTB[Dh]sA]x=QG?gwpMCPwbUKB:YF_gumaH>sIOwh@axi[tGUYB=Xash>]eKeGr_s]sXlWRuaFCiuF=wkSwXMcMkevqIc]v?OW;EbfIt@QUtYDt]stmVygCPuH>UvKcdwYclUwfoeo]t_OUgOS?AwdqepAYKOc[AF_SsoKGacImyVkYTSUEJUgTUfdEHtODRmXPWr?kXf;UMcDwErZCIWoYDmDe_tbehbGTHQTRii`[XtSfucbgYf\\OvWUwbawSSg[UIsSvgKincbWaUXwg]OhY_BrGGWiurqVlASSuc:mevAv\\Sc@eVyaIy_eNoYv;VsYVxmvq]IcMuPAwQaRyErAEyAiUdAug]R?XukQRg@qwEUqLlWiwnxj?uuL]XFpppAOvUnlDy[unrqj<<YCEyFMUepp<DNFepmaMGTrj\\;k:GyH;ic?grKgHiBgWBmcXPyByoyGehfMt\\?y\\mrGgIBerAisKOw]cVQKVUWHGuWo]b??F`yfWKY`CtjsiTgbaqsLIBGKVIHkDXOUtl<@Nfavilo`emGmRWMWopJmER`=S_uq:=x^IWQ`nllo@tt>ppqPRGYSalSHWdnHp]_^yFwLOisVnlo`=ywfnroN[iNsZwkg_xLAnjhuGGwqNrAQuwwhNxiqFwVO[gXeswafNliG_J?ibVqNv``^`t_gKWwkge<QeC>euXs[Q[unt>gbro`aWhKFtEY^_gieFfKI]Yq\\gw[EPkqqo]XpprWGTdeuV]vs_HYuD_ivSIUQsUTCTlaViCYLYD?erCuXXqEgaDYydcsGgKcUyDxeVU=gyGcb?YggEIGu_?ehquOwU]QE?sDi[WpeijEF\\wd@=efYUoQwLQxSCTeSE`siy[ScqrGwV>QHFSrj[C=JxHKxyqMtTCuMAQw[Iv[yKFEJrMNk<YqaU`isN<LO<JZMkIhnA<OeYm;HuV<pglx^UlL<SgewMiN[\\NCTpytmo=weyv`@mg]QByS:xO@@lrXw@IL>\\mmyqY`LnhtmlmgaOVTowqxfILv\\oW<l[UL==k?aNr@JRMSCdnIXTrTRkhmuMJtPJ;<Y`yYypxT@witqKITy=W]IUJ@LEdwRyrFqL:=Ojts]\\Y<UYsxwVIkrPLb\\N`IMoIqCDqqhqUUmKalKYLm<s?ltq<tMDLJ`w:<Ja`N[UXEYSUXVxeo[MrRAyHlKAQXYDQ[\\T:YRbEm]=L=DP>quf=ncAj]AvpiWQ=ukpjytT:qTpQQ<<oNYXEQXsmWQ=tx\\lBqNqqo]pRMDm<uMXQR?DpUxWkuXcmqT@mWxWnIMoQSITmAeMsLNC\\RhAY<`khtLJuY<<N>@lB`wCaLA]K?`sv`TYxY=EnxUymdnipp]<l;mrqTymIoctqoYm:<vDHNMLmoXyaqpFhw`UWZhUiYRFaVJ<YmywQplI@kReR;uqi@RH]wmqxFTrjnJkZRxWqX\\OVyoC_IE:[BreFkuyomcBKV[gbj;gZGi=]hTycGkc??Y;SC`QuIesXUDwGG:cg>?dEiBQqtaCb`Yx\\QWWKgpurM_eQkFt[UuuCh?wqgDvSBrmW@qXRQw<WGloXJ[smoBoExykb<oxAIGjcw]sFgQYHEDScVomFhofXWGJ?uJKG^ov<IuMKeluW]ADBcEGQYYKT`Ch[[EE?ScKI@UrK[xt]V]AhCcETQR;keT?hH[Vwgs_QilArFWuRIvjgwc;IcSbFwYxyxnwC_wYteywwXWcwQOCrAbBKXcCxfwuWor_GydiUDGdYwyUCRZCT;PqdAwB=nLMYeTXWqK=LSmYvfajbEtu=xjeMclL;XYxyxapnlhXjLsuYu[iR\\TvA@J:tsg]tOhstHV[EwrmUO<sgikiix`\\vX`jFql:<yXhv=APFTbR:mi_mWpMymogd?UdIFAsVXCIZCS\\;x[YH:wTbOg;[R>YgiygoaTFEBBCdDKyl]vrIsAybaWiWIEGcyxaGqObIKCdIc]yFoSuPST=atXaWPQfmCbtui>?rKyEX=xVouVKX;QCxMy]McQqX?cWmKb>QFScT@_g??xjWx>EVA[roWT\\eGWERwOF]GgSAvRUDdksKGdiSvXoXB?C?[u:yra;Bi?toUB:?YLyGiQUAeG?KXmICpAcvubSMcEUbh;sQUE\\uC_[BOwejyreaDYwYyIEy[h_]rEMHdCiJqtFwrUQf\\whNatWsbmYUD;RLky=wfc;BowCGsfPOwQWh=]S^=DDiY>ybcYGTQh<SHP?UCWiTeE_oEZah=ssiwgJMwg=EC_tlsYOEU@oDt=rpUhwuslI>==FY^c?Wfsp\\sO[EaafvtBpekGyqHgVQf@An?VrRXoTnlGnkWXp:q`xvhVOhs_]MNy<aer>^X@fiQbv>`GVfpVvCQZfOvCvscAq^IbW?c^Q^jXZ:apAPcMwexWtix`[oblwZ?X_]xeAo_\\ijNHdZAcCAwcfcNnhgftxX`qQp=_eUHkuOqjFiaQaTyg<c?[B\\Cb]QV_idVgeiouFKuDED;irLqwcyVvqymyIZKYM;gnywrSVRaHZmiHyyp_cggfwwWjGcJsdDKeCSxPoVWQsHsR<CeRaWPEvnwF]GiNKXg;G_OCnAT?cwAsydYYwExouCOOiC?ShkhumDjYYOwC=AHFSJRJ`Ym`qV\\PngeWs@ohhMXAWHqvjHVkXwYXvPMwXaUWImdQwGxlhlu=hlNdnittotmrYs?ySYePbyvwaxf\\MK`M`UUelSkIThMR=<JexJsHK>QXumVSIUTLmcDKXyMD<t]eSbPS?DKciM`QQWIuHTm=IpfxqhXp`ULHqymuktLooiTvTr?toqqk\\iwODydAKN<tMqMKekuqV\\eP:HwayukYxIlU>]VgqQmxTgmPRqL?dVbAPHlu>qpTysoAwxhmiiVAhKK`S<Tp`EyALwEdtJAW\\`tnHNK=SZ<lBANb<JRpY>eqsTmXDWpX_ph>qCfmUsqG_Yrj[C=^;VxGWhmFdKc\\QTbEtocxZaWVSsloVmgwZubqeWPQv_aggihrIU;uSykyESsnsuk=fvODEkeuewoWRRmx]msa_Gskd<odDoXiabS]RPGc]SDAuX]UC[sdUwETCxCmbVyhZMGl[DQmBsgeU]gcAd]EBvYwqwSj]fU?W`]fuwsRWuGiygAUOyUI[FcaToIwxgXNutn=BH;ihqfckuZsUWCB^Med[xAQELqy?ahrwVv=ycKb<IEuUTX_stagyGg@oyKgw?ud<giQMi[QtaYuTIVEcVJOeqSsIOhFcC:OUcCficvJ=CSqVAkh>mVl?vaOYWKGF[H_eBhgg=KUp=x_WsAGVRkjjZ`Ym`qf\\Pn]RPwfRsSueWVKE=OEEghyORBChJiW^sEi=VkuxI=gNoHIsDSArfUFM?eG;sYyBiKBXIi>SyNaR_UxJebG[gxmCCwBomXNSbQYIQKE`?ql]wS\\XNYLchp_MlaMUSPsGqVwDvCdsDULGEU;@qo=REau@en:PrAxT:lX>PV[xXL\\Ly`kWlr\\mXcxN@`rhXnuxxjuqtLW;aPf<Jt\\PwqQ\\ys_IydHRh\\PYamBdwB\\nZtxo\\QPTjmIUkuSbuPiIXVTq>@SbEPiqwmLYA`lVUSYmWC=vC`RpqmXuyxqXB=sflSDLyVaZcOnNw`KV_^pvxGr;@e`oqoGraq^^Gq<FqiF^qxx>pvqa_Ynj[c[Z`Ye`qhaxaEH[^QrmIjmYolXvnOt?nZtQsFO_kwnHvwGyhHnoJ_[xHyYycyisZvpio\\Yhn\\P\\e>rDafjojX^h]_gB^r<WxSvjIAywVl;WiI@xaGgo_^LO_\\Gqs@l]frJFeXv[uAjNGcWY^HGmbivL>_sPhr@yj>fQOZsHyfxnaqh@Fqx?ZshmA^p:NmLyrfWurV[`hpgGtkhipvg?iygAtaQnJh][Qbhaot^hIQatVaIxvOfsAP[NYa^gx_IydsueSfuIdWB;ORWSxg;BQWHkuWEgCK_U`mYLGIjIhXauiKtdOCNIG:CFB_U`qtXGvpoPQTSVHx>PY\\TjpXN?PrTXNohjlTxgXKX@xYaU?LUbtp]AjPhJQ]lIhV<utYYX@yP=A`@<TxX`uH]T>XKCPSCnh:>i?Wy[CEQSeWfLye<kw^[vLqvFwFeAs:ct<GiI]ijqFJ=choV=cyqKD:Mf\\?VoCXEabh_TJ?C>?Tl]IZOXpOecErnofEahfgiT;coOUh]WSUYQGbuOD?[fPKvZYxiAya=F<OTUUUWuWcAwOYHBcBl=HmMHlKv\\Yc:KX??vV=dVOv]yG[[BLeXnyt`=gSOUUcfR_bBUuEOsPmEYWb=CdVMBh=BRoS[UIn=REQX];icKYlYuSwS@ui<Odl?IU[yjIFRkds]iH[glqu<qdxgXeSIpiyuui>OtA<u=iLBIogiy>dOE<mhxyIQQqUo]pP>LR;\\spPtuiJyuXsELDhNJ@SFqQc`THdntPZoNwIi`sQgpA^iamhV_<Y_TIZB>l<wvEFiPQxJx^ewiu_lD>lMYx@pxcPjAhmmPjG_pefgvFb:xqnpuPqlqOeOfnoxc>WalgsG_wRXvDh_?qyQydZ^pcngUQbBa_PAcIggBhwu>n_GiUY[DyrN?llQqjytypyy>kCxpoIj[?]@L=kvISZXMmQtGQlYqK<\\JlaNU]PTuyl]u_`oI=NrXnNUMHmpy]QdTlI<N:\\JqmlXtph<MJmtmtyXlSDuXqLtRtpbDwPlvYyoxLjWqS<ayiUYj@S=hMqpQDan=ESaQNGuP_uMqaNlQtZ@owEXWxmDYnWylKdslQsa<V=qU;`wpEVsypiTu_xlgxUH@oPdXheQa\\JuDuQDwstx^IxSaKc@wUhQmMYYYPMDLGLp^IUmhrcykMMQWtnjxsCmwZElTDYyQxutXrdSSaVRPtgHuMhStDSlmOxUwCQt[XuJanupTHlMDyKhuVAdKlYsYQKxaOomRieKStQPHOfaJsTrOiQo=gtHgqQ`wwek?qwGswPwbYcAPlhist`pkIhaFomheSpc]Qvvg]Jou=Njw^cOistAaqHewhcXOq:>ZZ>ZC_b;_djivi>gMx_NA[EvjmQi;afBgpbaqV_w;O_IntmFf<Wrd?mV@piIge_bnnoL?hKqofIhdgwlhxNXghhp]gydibUHhaxhqxl[Gh`Ycqiiy`vlPxS``\\XstQ[>Fotna\\?`=A`FVrj^;VxWIhmGdK@kbO`dAdkNw]Va:OjUycKafLPlkA^s_mhO[`Xgn>uTF`I@oM_cM?i=_gkOy]algphc_c>WnPomLpyGF^GIwa@I=tUGhjAiEevrawXYeQqfeucAuBeYUFSUN]s`CGfIhygSIqw[?XlSSsQXamFVoS@[TGuRCyvVADF_exKc`WhNmwFoX`syl;gKMtiaUU;fIib_sUVOsWIHgyt=kRNIsAGsmGGDMChMCaUEn[iN]ITIrrOE^Sii?SA[VUKFT?tZ_E`svtgIpuE?YgmaIYctb[iNSUgavEuXb]If=Tpkwasx@YHRiI[MS`UcNQUyGvrWR_aWLdiUgvTfcaIok^q<qkoYuvndcf]paseyk:ocIxm<HrZFywnclOq=`lhh[p_t[x\\t_o`G_s`yWQnf^m^ykaH_YA]vh_AYeQIt?YlIVgNvufxnUvmZirdys_Hyt>nvxsGo]YxkVqcIfZMHednde`dgnnc^wpOlaNe`xrmo]rO`ZPexfckAnuWnGAaCy\\GWdpve_pwHybvGn;g_GGbq@b:hmvFvrf^MHCqIqCiwETdkX@UugeWRQfvMIHmyGoHwSgYgvSiYHEi`QUukXl;fvwrHErdAWIyx]Mg@cb=QVeQFWWSDyVnODKeBYEdpchwmb[=E@@PFB`xsyIN\\LukDjkqPRmJNeT=HVT=ps`RBmUi\\MYMw>tKMumWYMH<k\\xL\\@wrup=YRHErLiTbPq;Tt`QjQYw?@YdmRSmNndT?pW<lKKYKixto=YcXv?mrc=ToELLxx>Tm`IyhMu>=S;twUUUFdLwdt:hsU<R:]qUIP?ypkXrlD^o?]@HZMn[r`bi^nUWuvwntNgdQ_nfu>hs_ijbNqZAj;foQGb`Fxe^xNAZtgvDha=v_BydMapPx^YWmtP[GWmQYhCOrwXo;q`P^cGWjdX]j`gH>q>G[L@yXnm[Qiu^_Ggj[NcRyxmVcQGnu`^VVgpxlPxk_xxKYt:vgb>pQqZ@HfRJFJmiyluUKEl[=mipJ_Dv<eN\\PRSIpQ\\N=A`@<B`aEh=aFVrvg]R?`Fhk=@bFgZGga>`cFhZ?oj[?=\\;beIVKEd[mie[CNYFh[y_yGh;cKOBTOc<oV_SbJ_d=gTb_wyciUGVRkZR:\\sS<xlyV@Hyh@TK=xxiMypYXUyaTqIDwtUMl]SvuO]@M@HVRVrj:ayyiwWiINGWcMiA;xyiieqgogS>uRVAcC?iKSDkCDMCHKcEkCDMCtKEwBeSPEUcASo]RA]eb_X>uRn]rC?IKEIKEIKsFlWG\\OFU]xVABOMw=SYuqgdwyieGeeTqIVUAYyseqYwWGVJEdbieKUwaASVwTkKhs=vE[RJSS>Av]QgaMF\\KF\\K^bwjR^d^N^\\N^\\:HNVYTK@kB@kB:mbj;gB]R>@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jF:@;R@:]:F=ZK:`;jB:m:R>ZS:F<jFDyYXVYAJKDtx=WbqTe@T=DP>\\OeymUyWq=JIxKHTt[lwGpKGUwqHTimpKqWq=ndmNRaQ;\\j\\DL><y=Xw`HoW]XOeSqYxglKI\\MeUxXDlxLUyHkLeU=]NOLjGuyE@tfpTKuWHUxwhr_IRZLL=]r?ajsal@pYmPkdeqCpkdHJ`TMvDjBLNKltCxW?PuhDnfpJJpkrlkwUOnqrbhmSmuiqkZhslqYfLv=hwOaqiHnMmO]]LB=NZXqZlnIdReYnXmw<ilBDrk`vYYmOQQdiwH\\To]JR]MjaJ<=k>MJuHoi]tHLwoQQdgeF``M^_hv]<GnBNbXhdoqyBfyHw]]fqiIflHr_Qp[Oiu`sM>Z:F^\\VZ@QdEXe?agpV]t?aIQ]AqqkyfXYsaAe\\?i]Fybxd<IqP`[QaaoxdEAcJiwO@ixH^=x^QAqOPekv_sPfeIwyynqhfVYlDOtenf:?x\\IfOvy_QynNb\\N^=FsuilQoq=iFaGKQsrAuqcSiArrwtJ_UVYGP=RZqiNWUWwgeiTLOvoSRFqwr_vdcCcehTKXWGCDgUK]rScGDiGMwfB?cFwWigFciHyoeIggXEIe_xHgYE_h<AfO]d^wuhKCZkl@IpiujXQl[USlEVu@ODhTvyV?EooPULQo^aNhqPE\\oxEsnlUieyHxWEPLoUy_ao@qtkdQolqwplrxQr`Ngak_qnRtLqHuflsjIm^qoeLtb]t^PlyTlZhUK<mWQLypwCqvOUxJMUQHVkXOihpCeLkmjmQXm`n;yQh]NahWFdqIxVgEL`IKKlsN]Nl\\r>Tka<j:ASYaWWHTqpkIyu`<ty\\xk=Oiivm]q\\xU?MNNprbaqCPX<IjOUjXOh>nq>w\\CpfAFeYawSPeQftE``LydyOvuaZ:P\\>h^Lwb<X\\UouZpaDG\\YnyWqp[NmCY^^Yh:QnoIthxlJOyniZq?q=yvyajJ@hnGdGhi^Iv?g]th^NnaI_xyvuV>bf>rcncnHagxu>Gw\\a]Qvmx@vHAvewboaZ<vaxOrqwfLfk`Gv[optxsQ>jIi\\<xvYyy@xcWFnWac=ipmYayWanpg;F^YycraiiSqUy[Ahb=EoYirQywqYtabuwGrixAABNQSUcvBSsBYT\\ohE=sXwUZ?xsYIF[dFaRmcUVeb<;ysYcCCrvuBoad]mxyiYjiBv=hrqyHwUxIv=OUeAfNKYTABpCiL;GQiWBeb<;cGOwbsrVssikSY;dTuS][ddAFKeg]cwshyQiqDDNjYXUlkFULW`oiIpymLBDNLTk[dwuYQxeyQ=Jj`qFUXeikJuSsALsiwU<VoUreQp:anc@wpmq[qW<<JM\\YuYva<y<UNnXmaAYtUY]\\tEdV=ewFtVfLx^hw:aQ;lsN_pIw`Svn:>\\m_qk_wUGuDYmsa]=Pk>gw`GhYoubA]cQqOXcq^ZHakVasxysrqnbFdaPx^opOxaaxvTWqnnlXg_iFsrow[qqbW`w`qY_oXaknneSFmV^d\\Qfy?]k_sCwwZyhqqpnpsfQnRgylodf?sGiwg`xtgqQw]qhrj@m;Fd<ytVHZtIjGvgeNlEx^_@uUAx<Vj@`\\Eh`sH]FhfrWlKvxLHu;voypxTOrPIyfGuQQd[aofyZ>Imcg]r`iyf^qNlkW_\\ox`_nPYiti_FvglyceQbe_edw]hVbYpgW_avHqPPf_qbtWrk`xlqiKofyX\\aO_x?^]IjnPkaO\\w`gfOx\\GqCAqaHw`GcSPafhbaX`q`s[GqXo`sQoQ_LeXDMx]iDH[xFAhkmFHercCsQQEVQF\\Sbv?yO;CN?hvOUgScBAxt[ilcSh_YyQSR]sDWT\\GQIUuXXvX`tlly?HUBPkrUXIqox<OD=TK]rSdsCenoUNqxpixpiUYqhKCAq[<jMMPEQO?xKVxNR\\T^Lu]xPM\\kUUvG]YHHxG`UteLK]qsdmOHTimpVXtdDrVURhMOaMvX=mltorTrlEYBIWfYvX`PDxVL\\XHql[HuIano=qquQhHVEMkS`k^MPQqjULLEekUMX`yUOILX=UHYo>enpXoqiQtHpnlsvPvnMQ?IMglw`EwxAq`DXa=TliQWtwW`pD<nB=ytiqn<o@LtBiV^Tls`LhPJWuVfdqTmw[EO`<vPxvguxGaP^lWOyMN]mQyTjpr_Hp^LVr<mALVNtq^yXP]siINiiwKApLdLeXPs`qF`YBls\\im_IwoluTeUvUlKtv;MjDxPlEwqMkMIwN@vhMPpdW\\=tLXwF=UVqvSUUoLq;Uw_=YgDrSYwwXsdlxkURLXpvyWImPPpKx`KDHRkTmwQlaMlrAqteRCLm[lsmhv=`X=PvfpsWeTXpuXmSA<LO@nRTohmW_QtgmLyQt>=qJ\\RAYtCaN\\LNw`mQ]uCqrtIjjIYZ]xSYwY]QgYj`IK@dLCpxbiS>Tvn=QwysklmWYnWMlEQYKxoS\\P^tLILkMaQWht\\uXAdNT`qNPVgqxZUpfpr=plNtLT<kJ]wL\\QeLSeatu]nu`tEIkQTtK\\seiUGUMdit^QqoPyQ]WWHuaErA`nnlXnqpAuPf@SrmmP@vPXsW]PdmWihNaxN:qQiajRlWJlmlXMCocqyuvFu\\ywRqrwFg^ys^>yjVpGa_HAh@ooQhgX_fRYfaqhg?dk_eM@wffyUXnOhvm@\\aimQ>bVHmWfpvyxKxxpqfbvt[WyLHmVxkhw_Wy[=fgHinMW`XyjqVeQvuXn^b@y^wskViLOeYvhDxwK_[iO_lG]oqavqZDhteFsvWb@V]vq[IHytgdsf`PPeno\\Rw`ivmWo^LQlmVa>GxTvmWobiIrg`vvPsnobeQkdavpQhp>uqPow?aY>^KOj@Qy<v`SFhihgU^dXNu@vcuQ]=Gg^YklWn]iy`YjKXweQrIHmanyuw]EOoC@kHNoU?bdQwU>vFH^__fYv`U?ZC`jEn^Mx\\SpbYfyHg]_QrsN\\[v\\piq?PvbXd@o``Ij]yiyqkywylyZxPgp_ZIqokWnpIdyPc:yrgYopXvBF^`YeoY_d?]cXtGObgHnR^iAHqehqMWoQ?oYYZDPn:>yDPb[hqwibWG`^XbeY\\^pthVntwZbFj>^[iwj=wgHpnpHdDwbZQpwi\\yAycydvIyGaZq_xLflUqathtfNfevcT_uMiaOYcbxspXZnGyvVsqatoGiZI`IwyvqdgFnuXjqquEouUYmx^dEO]QFlOyqKX_ZYjooxqpncyasiygFfW_oApxjxvRPn:>yXgb[HyxVt=IgSFnUwq<OraWjgygyrIywY=HlWyK_sq?tiyhK=S?kdV?tvOSQctlytcye`uDvkc_usmCr_YegQEquu>Egs_WMeXYKTcsH`sUh;db[xGouFcikMWcccEwGM;U]EWfOgH]GPGU;MIcMFU=wZihLYRguhKyB:sSBkI=Cwt]tYCFjEdTeiyKhCyb:wVpyx>Ur]eX`ERZcd:YGU=Rxsiu[TEiWF=VA=G`IUmauIGea;EN]f_ahK[To]xdmragISutbut@=tsmhDITgwyRSiFuTTKwQCUvEe:ksB]CeQctiR]oVTCb>uDcOYMCu:IFt;r][XeWx@Kvy?xYwuyOvHEX\\[eSwXZMVRIYy[yW_fcgeMQebsHiIfrSdbcU?kTX;wm?x\\gtcqTUCVn]t=actAGQkI]MBuKD?_GvQCjiiV=r[MyxMETivdkwZ?FJSCcYCDYHgmGrcxngxBewNGXXSx:qxywYAyiyey=suhism?V\\OcHEyVCDQIx\\KsWOYMStROf<sb]eTn;W[WHwigGoftgwusEmswgMr=_XCur[cH`Ss=mUp=iVKIhWyPMtkIDdQvq_WNeR[OYI;e=AitOC=acu[TEctqCXpuu\\WrpgSq?foITi[fJ;XRAxyuyvIEYoiVIBpuILgrPKywqFDCGYqB;arSchGOyfkfBsbAkcOstk=iV;eHgiVYfWuwfcYXWGLKbMSDvEirsRwaFx?Rt[cpKhQsY\\qEP]R\\miOgwbUUbkByOB:SDveyI]BcOwmOSq]TAIYpYH`;X\\CeG=r[=vh[GKOBhotF;d;kDR]SDaxIUg=kC]gvuOU?EiwCBfIDfgccKv]mvCkBOCwCGTa_cfMF>sdGQBA=F?WcLUEmaWigxU?G^ORjAuf;HwydCkHQ=CaixgWU\\yEUAgIoXo_bfMG@?bEqBMyUf=xWwHY]HNahxeDcAbGkfy_y:wEfkE^udQiwAEfoYIbwdh?dHgbZIhS?xQSceiV?GB:egYWF^AH[yGy[y:Sc]chUoCQAgFWgdiE:SHvEBwyvrMWgYX>KVg]rdgT^otICTguReQfxeHe=FxAIg=FH]sH]bmcDVQgW]TmWIfArvWdnchYUFnStc]tWCENYe?gDmOw@=wpSgb[ea?DkIiZEHwiBH?tOKIIYtgot;EG[Ib_yGy;vAwEf;CVSW^MhM=R[YC:sVFCw>MBc?dS;ieOfJuI:utIUW]_IWofB?ulwGNGWmErUSSU=E[WTGQF`Yh;IxqwY[ydYyqw\\sjuRm=ooqv;ar]umpio\\XtWxmYAW=hW_uoUQJUYRFIpEpxpXTOtkSxxpASMUympPZXM[@reERTyPPpkIDUQtq]dylEJGIKZek_HlB]nKTp<txoQJDyNXiJrLWUaX=LUyHkLMQ>tlgyoryvIuq[YxqIKNTYJtVmAV\\MrAhoalspUuIXPmhWphtQYpSqM@dLhQaROymWq<?[RGZVidKhaoab;Wa]htE>_ywZZ@iJ>eQykl_nJ?stwf;OwiAynYnIFl<wfTqyUfhJhk>AxCgh]FecXnjxlCo]w_xOI[:>rV>kRneW`nPWsRprNfhh`gtAjsOvyokwWZnO^np_DGoRNtYpq<Wh@GhOww]fpJQpLWwc_j\\wq\\Yww>nRgmjHmyHViwI]ylys:;tdAFe]VXOxTMGTit`KyUqTdqFQKRKssXydkoW]]tiAfiGeZUXSAVdwcjCr>sUxEcZkvdQfX?eOexdeDCsuI?ywmuQMebuFqKIVywp=HlCUZQXR?TYcS:Gsq[yPSc:ItcUvvmDaYEoSTB[RxUrqGWSocCqcTcW]OYScsC;Br=vMYEV[Te?S>MCj_Un=Xxwr:OfPyW\\_XOgrOEnItmUlVqLnayLr@S?=pIHKwtw_dSgikPiRsdL;MvMPKQ]upTmt@p^>du@wd@j?iv:howNrwaZrxymyf>P\\H^hEIlSGuLib[^\\:ycYxwaygj?lIHxTph[`ki?dZyca@v<hZH`h>ntyna[PebPbG`>YI]SGv[GwmxAAhfefnSt`QbqOdpoRW]tEEU^ugDAyviYX=cSEvGwe]Qv\\cbJQgcmGAstAuhysyUQBUQslit<Sc?EBjCBjuBowI<khbeGVSHiiwMufXqrw;B_;e@MvoGHuwHLocIGTQsiYcuSaGVuFLCg:[S`;FO?X\\yhYmI]?TdQFomgy=HqAtHGupctIUbTqG]QGUgR[yci=eaQD?IE>Mw\\ScE?uhUykSfxuEmQwOEhRmTYUu\\Ab?;rq=BJUibYBEMslsCvmG?siWiSJqGOIf`kuhEeAMYc=WPWgMah^AxbQEFGX_Wwbox=;CwQyOSDvurYsIsAvcsRZQwQItoefJUwX]wigSkKW]Gu?;BuKDceieWd`qEQoIAMVtUrKwEjsSVSYMuRtCB=qd^]iMisresxauEgsDubgGuc?i`uhVhx`xymxlMtoltuFdqp`Ym\\xG`t^lyjHusqLITWluQalxGtW_Htb=wr]t^tMoPwy<v^=eCWy]q^RYtmqbtOdFNu?Ymc?sZ_aPHrgWcTwpuNuvqiIwm]_iMHirfbSa]g`cI^aSnd^NgqOclptMHxr?_qhoP`uhAgmYxT_ixHlnpuM^iANhWnpDPvIYciw`q@xFAe@fo\\`m?hm\\oeFwk`wp>w_eOhu?sGisIfm`p`oxk=PeXH]INelgiSfiVajyoyJ_mL`obIcFXtnWjaWmUxuVOi?q]FIsGAhfVv;iknpgtWahv[oO]Qqna^vxFufVix?sBxdlgqwpqsYrcxsxgQMiieFgmE^AfPWtEUU]qU=MxCAfRid?ai\\eDi]IiccXIfM=iXYbTmDUqCeYtvUVXuX:KvWqF=_EoswgItrgHEYfHEsbIu?qy^QtkICOiruahiYbTmWHarH;c\\@t`MmqIJPam<PYDmKWqPWuWbtPQylLdXUumnHSFqsj`VhxWp?p:qeHYyrqekUeGiQwepgs:CbskilgcwcW=[SUIXOwxLwhbebseEACRj?WZciHcfOGxxcGMgDa_riwxUuGFyCSEHAwg?AXPseYOyf=Hh?xKQx>SbDwEXuSDWx@=fwCGGwv_OrrGHe]TTiFXUUvyrUEinuix]Huqxh]FQxLyxYEyRrtqYXTQPWkyn?HnHxjXYTMxjO@xfQu`EkPqjLYO@drX\\OT<Kxek_xTEISvTTSuU:ywgYXFxLDLtZ`LATRc`RgQvOYXNlvjhNQylCEk@dq\\ixAhNxmlMPuDqKfuSlmus=V\\aSQMQVlt\\QV?XTHqxp]X[YpZ@qSiOkaUGmKXyKYHQbMmTatXYZAPttpsEo_qG_QxfkG[yVg>YbkQcHwc[GtUh`f>ZkxMCEY`LihQtPvN]rsHpnQWsEs>Yr\\yxteNRdSDmnRQPXApSEVreQwimgHxaXjvdqVxXpMUWqMIAnu=QoIuiLY]Mk\\tW^dWXLwnw^Opp@PhW^dPNxAhdvIsv``pFa`_ha^xAf\\]x[;?diQun@yJwc;NvXQvbpv]pvwhaT^\\=Pf@P^hacEwiawg]ahvvpEaawOeoGxXawo>orvgIIm_^y^AsPIiSFfO`f]iovGnA`gUPwjV[PqaCn^PogqAeQhcgnmbqgWwdch[lQvy?oANnLGtogea`qmYj\\Ic>_frg_;IiJpiW?htIqkWcHamrOuHvjS_qagkWppExevxmo^_QY]vHrv>^c_pvgybGi<XsYxarfpNPbtyku>Zp_^EwdroqGHbaQ_GxuxXZPAg;vdIoxCQp:Q`yycOgukQxnv[Lix`Ntufq`q[sQtbvd\\NqP>xnYcc^yvyrWQyansRObc_bfxiZYtWiady\\k>odpjmqnXh[eg`nYm?^eVxfaX]tVymAshXiCquxvjCFjNOZHyuxGrqHcMvdC@]@OgDftLQw_N`TwvDFn:ysraii@bKo^R`c:x?yIjIgJ=RlOu@EvOiYTatAivhmDUoccawW]dHYsRCyi?dXIwLgyO[SAiUX;YJaHo_sBeRyerCWETuUWof=IsBKWqwcxQc_]D`Se]UbGKsg;x?QTESyZ?Wbyti;dB]y<wsq=B`sUJgsPIddcbPuf[sRFCgJIIxsykuciivm]RTgYrkgTYGI]i=[TNUD;[rxcY=[D?SdCaBrQx?sYxqyUKS_aITgtNkhYQcHeRo?TAiIV?S_wexmBAMFG?rsyijyVs?bpmxduIa_Ui[GwmcR;UYIXLCWMUE[wgh?g;ahx[TgMyXWfxuDwqyDwEEaV=WVMiumySpcWwKI_gbHygmCr^EB`YWuqtXkTv?x>St@ivnIFlqe@cXXmRher<Se=QfiyXVctkmYxyFZys]_eWei;syMSE_WVZufsMYSWbPirA=yGqx[]TAEfvuBRUvBeRXox;KFcAEfwYxMRs?TAiTZKhsiIhWG=gxTUUxqElgWtGe=]g<yhRmEyWfosrdCBTQr`eB`StDyuRQxRIG>uy]]W[sxkGgw]sp?G>Gs^=F_qxEAS>OTbWilAWO?be_RTsiyUe:;iAydYURjicDAWQOFucUd[ug[fK=wuCdfwdJSHvEvsQtaUg;gfIYTYkGI]EuKgCurNQdmGulYhQud<oCeKDosGE?hi[sJSHAifk=cUiY=oWlkS=UHOcR>MUCUyf]V=EDymiaWwoSbPeRdegUEWWmSamR:yeYIwbuckysk?HMgDhixEuf@iCCMIWODiksQ_YFgVjUXgCSqaWsMeoKGowTAwWQkV\\;YmUwa=IWaV>IC?Mb?iYHgBIgfQAsEIUJIIwiGPsdVeEcmd>IhMaTisvxmH\\CisYFreiuwuhEXs[DfGSWevRAiLcYRGvewVScRiswQSq_YvLHt[uSTDqZ@UauqAqPm\\nXtu^mPMYxOaQjllT]utdmcuTUyS\\YmIqyjQwFUUEpkWpP_hxnmpBqPITr]hxIamLMuTtuPaNQ`xy@UxaYVHMEPYaMOXqQhtrT=UxUqFeOd`Q^hqGXsOXj^wjXQ\\`?_o@qW_\\qImnp`rQeFpn]Glwgp[okSw\\Y>xqVu]ac?Ifk>_D>^pYpQqnSastA\\D?dpPoPxgpWd@V_KidmAw`q[Oq`OYfZfoeak>hu`y^YXfYY`PvrO@x=oiRWyWhxlOvXxuUQM;tj?wy=GIUruQuAqbHur<miowecYgSmrqGYCKU[KcqQxkUgoGxg_D]Wc_]h\\kO@lVAyowusV@YGqTCtLuUmW=v[Ewm]UFpSDqybEY<xnytY^ewLLoYIJ:EjilLsEPu\\VNeOZPYI<rXLR^IykIwTQrcEkHttuyuv]x:`YC@KfYpyhSPdY]xQptU>DNYXKxtmeaRHlnkENP@XIqypDr`EUwljgpli@tIeTaxn=msYUvCHnJuOZ<W@<XQuRceuk]Ytln>\\XDiTvUjEDnw`mflPaMj]<l<iTwXkKuo@`ULyKuPJZqyelYyIyY@yehs=@UppqwIR>mJVtQGEmZmTN<OEuMIxsVmyVdJDPVXIwFhKMxv<DuRhXtyMqeYniXFmljdjL<KSxVyuoUavVdWVelW<ONusK<mimQgEXZ<lhPnxmv><P;ytlexkaN@iKoMK?\\Y;PjZMOpQsftQMLRc@MfAq=epJeu=InadscIoIAx\\lLtEyhYwVdQgMmF=Pg`SmuSLtvDyvgpmAIn]qTH=OgEmVEN^XKG]xOYUNmO]AxTeLZMXAxsyhy>xYr\\MjiND<Wdxru\\lbiXH<yVUxYYW>htMxm@=Mw\\yuhJHtr`EOcAPsus>TlceXTYtoAUMuKIiXEDP^Lu[\\TeyTjiWjipRTSAYTuIW=aMmpOx\\wimpYdYNXKG]SZqRtdyvXL:<Jx\\nLqWZMt>iTsxq?YyR@VSqxuMTNdmmhkI@tpdUDqJY]OEPWAeRiHT>IUJIKm<juyWy=vQxMyyKHtT>tv_qsHYwfUlEyxJmTGmR]htQyMoyMyiu[IUmPkZEX@\\NwxY@TUvTntLT[xmjyvWXLcQrslMHAsnDqJ@Oq=tHiJkdWGxSjihC^enohjWk]p^LIlf^cSq^DI[AqbQ@mYPyfg[?AfvGjUyrDY\\FN?;UqOuVoebiBA[Y;wv[EROctLUDM;B`uU:sG\\McgQHTWh]KsfIb:kSqawqwhAUYRMdoCRm?T@YuVGHgGVnAX]yUJ=GiOwTQWbaXW=IIeiLOcfED^KBD;bu=gioGYgURmbyoX[sbDoXuYEZ?iZQXfGiwiEkCIXEwRwuyeriyySwXbMgbqEZofskXTOX^WuRCWT[h_uchmCX=BJMrbccP]IIUE[OEUiV:=u>?R>yB_Ivy_XRccZgsX?YQeGZoidgRXiw:CcE[iVeE_MbaCD;WD:[txqXWoBggc<EyU;VH?Fw_WWubicbNWErwgQ;TXixIwuVoGwmbqkbBWrrYsIgepCvCQfuOGgMWg]VV?BZeRvoidIYT[tL=VuWYschngB:kDQKFaiFngtxkWhWHBOiGAr^qCYmIwaby]yiaGr?YBIDLgdF=x>kvggDOKwDAfaACdaYgqd\\IRZUd@]s;QxX=B?cXoMuMixbqgYMbgoTM;cVEUJ=WPkdXOvxodK_Xv=FAwgEwCqYegiSq_c<ydC[dZMEksreySkerLACdSDvEGNwHY[EmaVKIupYYLaHFOS[cmfATgUT]\\Sj]JL<qdxX[pxduq]Tkg<J:DkC`N\\@Nd<sIQjYyxYqy:yOyQyU\\WupKhLQv<xGQjxATOitomw<qxPmXIQwM=oYTwlynE]ocimldQhUsj@yUyOMyOWXvMyXvpQKEK`<YLiTNYPhIUu]yULs_pxpuxahXjeLC=nM@o]pmleWr\\vutUtaW@=O`]x>AwIxla<MN]y:QyITKviWjeQi]QHPmbtpahKhuSbIyxMQdLsSIukLxjMNP@uoUlaHkNhs>TlcUsAXOGhOE`n=YtTAQIeP[QKtDJ:TlpEMOypRdTfqU[dTpHNbqmOuK_PLP^hlF^Nhs\\>xdGieOmO^r`i^mFcf?hFYthAgWquXhycqyEPaaocfat=wrVgifAmYyi?ywyIyKvyqxwZQvuGcMWi\\OPGWt=ht;VUUejkRbofi;ft]yMIDOYytKSeOYFqgNkgPgcHOU`uwugvFuWgGU:exu;VI]fKKUTqVkEFKox=EevmR[UgScNdmlahX;XyOHuhYWkdWh<Qw`poalGlmRmL_qkDHRe@km@pMlVFQjExYo=rQ@q<ey>LjEpKYxWpTxoMjhQsG]kt@wnyVyMY\\TMGAsulXXYuoHTmdkJIyBtLoQp[hqKumWerRMQx\\p]mt?yWFUqJ=rQ=mKDS?qlQXNp@KLELm<xo@j<YUb=XY\\ogMqSTl]\\jNaQrimUpJyxNIDr?AthMjEpNILJxHuJMWyXplmnhuqUyrnmyBhL;@sThqatM<<OHxrpEQwxUHtJfUp^]PTUMRutJIWHQJrqKQQlpPnClmE`O`YkApqqMqU]noqODElBLsxPPdyvXhsQA\\eXtR?ksNjRYw?FrDw]gvcj>OpLQMKvtM^=tThTFUfWA[sqm`ajKgyVv\\yoceH]m_`EXxQqd?_g?Wj`hcjFmfGyRQinAxJa`no_L?oAPcbve_>v@>jCyfNPowY^YylKgeVgnD?hVglKOcIqf;hiePnvHtNoxxNqWYi:Q];YwuYvt>vkasd?^ooiZPrlVp_qg]fiEaeqYrlQp]oyJInkG^Lho\\XqMYiuw_cOgy_`oOqvyrV>kfhmKN`dxnkouI?nNgs\\NfA>jCNw_Qy@g[YfoYIbY>jqWlZ_u]i][PebPvHng^PdexwXq\\CWfTyxe^obabSf`YOyfqbFAxnfb`hs?wnQppPH`;qvE?vdPu?Pue?^Y`[<qoVIvEynYHxIyqt>vsnhjGtQ@mwwi:wpSIexViwXu;wvX>ZN>yMWmvwcAqsuWq_hpm@[_PqBgdEYcagn;>jPIg\\Xp\\FdhQ`WvwQIneQvqnbeOnJoyH>u]?civkRXZj@^Npk;qkiA_QNmanq>ywJhgMi_S_eB`naIriYc>guP_cxTHUbEocJKtUeBQcWB_F<StIyYy?HrOx<obHaYYWGu]CcgHeuIOIyZkc\\QbAIhkisKYU[MYvieaSw`]i\\EVsywdOR<av=Yr\\UbGWF;gYNWVK[UsKSbwVwUG`Cdb?WpSyesgnsUtaWHcrP_Ch[gpIvlarkwHo]f]Iw_aimgC>uUhMFxsuruy?Iv?SbeECIyHFuhAeflwemwu_=teISiUwAAXaUEwoWDAs;sF]qT@]uHavfUFRqe^qvUGSulLptRhIS]hp\\YSi]raXmnyMkAnPXuVxUVHtDaxwyj?EKHqPtyp@YMIxqAAn_dKwtVB\\xlQvO]LkqvPxQs=UCtspdjqUShxpdQVgHu`uyD@QIQMuUu>TubHXiHNsaVjIx:]JmXT<ImD`uhAv@tSsdSwDPy\\w:EKEIVqQPXTS]lgix]@gxFAp`FhaXehvfuXcqps`wZF@_XGivve^sgUf_WFgecagVfgHxgr`swlAh;_h\\WwqGEEUFcuD:QGCUfugSiStBmSMqrDYrmkdVisUESUOXmSIvYrdkBHYulkvNStPGD=YUcgv\\QvqwsIkIkScuKeMOuHqS<Atu=TEatgivfAVbSXVmdWwclAtxIhhsYHQSAqsuUInkiGIcYIwQ_utWRekBoCcASHEyCe=u?MIx;SXoYWqIeQvwOu=IRgSrSIVuKyHSYTgExMVHSS_abyWg=uhGuXe]G=oTKMH[uv=IFBMcw;GaerPqVsav[AFH=cqEU=IYVUdragViXioWVUcBAUdCvSEyiwvJaRtuDXKV?kxmghAKSGYyKWgI[ISKSk;idAxQGhFKY=gDwUy;_tLoWkmreSWlirRmWlERCogvCVd=Fsui\\;bSMfOgSdiwIwda;EN]yBqB?ECHQGOSXjEx>oiUwbM[DO?xoQR_UUK?immd;]g;ixG;TTEEFWEYqH^OtbIsR]R@ii\\_bgqSCmHXSCrwrZwgSMrQYBSoD<GXs_Wg?yXyCX[TVSSigTKOufgtw;g?irsaFRaINWwsEfd?yaGRyGxg_DMGEWcEXIhnOdpEHuUXeWIKWrD_bGYtZEvdQbyEvX=BkSuwODHoR_KIu]rMGECyThmcQ[WVsIeAeeAg^wUXMvgafcwFpQDN]wCUfRWdvef_SSISgwgsCwTkScqQx`iV]cVrUFoOSeMY<=wrqRlmYu?iQseqUxRIdmwreMHNCd[UF]CsvocHmrZ?GxUhWMvUmRwmfaOWUgFfwhasXuEGH=RFItDqS@[U`iCDeIWssqSepsxK[TvUBcUWmSRsGgVMSNYWWomKExhHMbIteEv^dUamVw=Ju]uJ`nwMmPPjQyo_`ksyWdmtwMvrYXAqsuUQMYOD=ud@kmLYcDyvmYcYNqEmNtqWayn<Jkxkn]Y>An\\YjW\\t?yJo@X<hyhMjDXJclJODj\\ylvpsYDVJxxEPJ?Mj?YnwQWIam:UunuS@iq@`vIQj\\am?dRGIxTqRQIw_iyMAJ_XxoIj<HroaW:quS`l@Quiav`MYL<yd@N_Ap_Dyr=U<Is\\`uX`T[<SUPMIyJPHvQhpSuypQTVQKPutUxK;qwQmJtyrqLXcimX`lhmUvdQtIx?QtrTXEPVoYsSmWseUPxsaavfLwPTxtHJ?Iycxs`Aof]LM]tMxNXIM@dLy<qXiXrmTZ<m?YYsTMwlmq=x;Dx`YY\\LPPXuDmRvYpKTOexxFMOwXnXqxKeuNTlL`SdIY>iNfqPypMFXMIYQCMkRemHEpdLsEAr@Avk]NOLkS]wpUorXPghtWLL=dKlimvmkUHifHeVpcu@_DYt:GrnYn@w]@od[opEhudatOIvWvu^_rgatmV]pOu:YZZnx^Qw`xyrhls?gBh_u?e=ytAYwFAkBaq]o]IvvPxsBFiGI[^HoGhw[>orno>wn;hkSAkxonlWy^YhHNesF[TeryGYUeoSHNWwZOHuegM]e`eRFIrvYhKorSawF[sxWXugTfoYwceFGbVubWwgAKHGCe?kRfGsOSfxwGYYIiyT>KSJmTH;tdQHYgI`adoGH?yhVoHqmEN]YECWeUY=oto_V\\GXSAH`ux>AY[;W\\wh;wIfeV>YW@?rTkdaGX?IhnOHXET:ChAXmGApFIpmquH`KdLLoxohxKY`QN@v<urkuScAyNLjDxKp\\oExKfIV`mOZLSj@qwArbuOilU?LVHtUeyqPaYjuxNmV^am>Uunus@iQchvLPLFaPp\\q:uShXrpEJNxloewZQU\\ptcArJinXHK^TjvaoGtLVMMVMw_iqIdV;=y^MK;MuHaqFxtmTmi]OqDqS=NUQMN`yE`Xo<lD]YTpMwxli`pwqLUIJjvnWiqk`uVOiYVxmpkAYwmF^Qnw`vwQfZJVhrPpSGmdX^I_qq^[dNlFNesxjShZDhugniihy[@vqXi=PvoXmah\\mxahvlIQa`y]IQrnof=vkQX`vqg_Qtw@pN__SGioH^pWai>j[@kuFo]XZ^Xq;oq]xsk@`Ui\\DXd\\hrQQtAwchXrmH_lQkWOn?ytxFwmVrT`^wIfKYxNy^qIn]ob;woL`mpo`QpiHg]EGfIOtkXtNq\\pI`MGhkofoaq=ifoOkQYwOvnMI_xAiHO_EwtohkYvlhIZ\\gx`oeWFoYvplVpKxdBHiCYhXxeqq`Q^\\yq[PxuIXeCGp=Nvn>mRwjQIfkVbSAi@pt=HyBfxLHeHvcwHvnHqmAn\\IwahoMAtMPehV^aGxZ@aYhlQqfa?d\\yfSFqFy`PoyhYvUPn^fq`GdFqgCpflOlIyeDO`bw\\?GpE?xlgxewdsNiXYu?HhEO`HWfg?Zm_hkXhoxnn_iLGb?Y\\p>gBoylV^CApuIeAOeKVqyn_aGmEGsOQiUfetO]^`pD_uJQdwIupX[aPtxOaOppcIsU>c]Q`fnh?G\\u?`cvlsaq^Q`KGxTg\\kVq]QdNIa_@pQxmH^trvsPx[>nkUVtlW\\DxdHnpd_mpqgRWmPHu`AiGwbv?fffqDIm>fwD@ZPGx@WlLHqv`lFIeNOjHWpbnhy`mWw_CX`Fv]QXv=Q]wOpOQr=aoTguIvxTHrjyr_xstxd]^a]x^I_qqvy_N^<N^:NmTibaXt?Gy\\njYwqF?Zmx]SPt?N^HV]Vn_Q^giyyn^x=QtN_htfiR`]X>qP_isXnhwZwWkEn]wva:W`;Vuyna[qsYxrZHmTIvCyme>oW_puQ]fo_InlYNjaHnYIw<n_I^]eqa@pt@o`Phj_Ve@Os_xaKixEFZroidQ^LWw]`plWfkIwwAoWq[tP_ZWhrpnaxxGPybwlLAkwau>?opNbc^nuioIwrUgcMgye>yxQymnqbFfVwkd@kgaofH][XufOnWidkNjCn\\EhZHr;ws]AtkwBnobxuf=ct^AbAiVUMyveSgQfuKh:YvTuyGaxEIC^Oek[dDCf=avGiILatHKuWIDFmHI[YhcEawUxgtnGcHksWuY=yGYagBwHN]d<SiroFMqt[cctgSnSIW=g]SDfkCQ[YxsuDOiD_xUiYtkIDUE@ouaWDcUexGCTuEgqVUcuxACTGs@sdIyBYQcvcyNagH_t\\AgoMSBcgbSUoGdDGdCqrxavuOf\\OEkAvAqfAstwQI\\MidqTGKWagcpufEcT=[SPSEVkGY[YXgHcmWNiRmgg<qvE;RIUhmUX][XUiEbOe?kGYwV=_xdwII]ia[CdKtmSxH[DZ?yE?wqSDf]twgFiei;mgoETBge=UibSFgIYXMce=TOeCpSulOtswcl]rA_btEbhUIoGvcwfg]fWEGRQOrtXg]X;\\QPmRUpqxmr^AjAyvREXlEu;`M\\dSceYnXwW<ojv_\\YiuGwPwZopm<OnTNbc@\\sGysqbd^dEhwWoihiqt>csw`G^cqwb`>a<F^rokXH^YOuAOuLWqG_hQi]aAqPhZHvmHpstFtVqcmaxuVoEHwropdWmhVq`w]gqhyWyMVpgo]>nxUFfSGcgfjZQcoIlbxpkg\\Zo_sAl@gh^^aK^p]ggnOpXhsIngxw^xNgX@yYXfYAZW@]ohk`ypcymHvuuawVYtcPw]`lrvbyaq>`wEpbU>nPyskgnW?^UFepQiANf_P`TIjRN\\?@ZTHooFd;gc?wem@r[Givw_ghe?WuKPbsWv:P^:^pKh[wY\\YpwqHq@>ZeO\\gfp:vuPxlsW\\Fo[rQ^HXfYirXakTDLev:KC_wT<oITuBQuvG]bDCWPwhaCs<sTZKbgOc>gITySTQE[GeHCvYuYHmhvWIqkGiuhS;f[Ku@Sw\\Mu?gWUqfE]Xi?Duyri?yxgvWIGKQCnOhKyHYIdxECC_XAkiewcO[I[wVfCFNKgS]b<ECV]rTyg`YdISv=svCkBOCwCcgSuRA;BZebi[rX?rUUHLeTF?B:UtpwEwaIbcDOAU:Cg`GCXoYbiV]iUeYfeobJewiGGZgG;[UOYCB]B\\;SRQebcRP_X_wRo]FVuy>yNP=yIQprtKS@tixljeT?lsUHuGtVslQVaJflKu\\w]hohLJRaxfDtWyqqXm`pS=ptCQNNDO:eXr@LmiUwtyQ]kthYRMpW\\nIPXquWUyRIUmuYSUmNR`WH<ugYUxUo`TMftnJ=kKYmkXuvdyxPw\\MQ@hMohSYUVl=r[upieYApNEIl<tLdeMc@t?<\\>g`_AaHiaJIsjFiLAoPXyBfr\\?_OWsB_qqh_<^xrAwsOvrXetNtcHmh_pFXttFnJptTnuPanRxaM@vvW\\U?u_>mCYckPttWZUhmIfnkovv?acxhSYrJqnrYj@`fvqgCvvQ`m<PuEyaV@hxvibnsbpwGGoyNjqhm`pc>wg[WprifInlopjkb<ah?uwDSxnceXgIngSYIckiWKMfXAf^MEFienatjqFaCVq=ThSUYSgkIrvCr=OUbIcxKC[?BlgU:kgm]HeYehYSA]XD[TnWCo=Wk_BXms:uE[gYO?Rt?tAGs_YbiKD=MIP;v`It>]R>]R>ugLAthsd;?T<kiIghtWdnQEo=TdSgBcfxKs;IXFYD:sCdEF\\KF\\K>^[tyw]wU]R>]R>Zwh_FN_LF\\KF\\K:]VBSbD_:]:@CZK:]>jBZK<R>jB;F<R^:@;FL:]:@CZK:]>jBZK<R>jB;F<R^:@;FL:]:@CZK:]>jBZK<R>jB;F<R^:@;FL:]:@CZK:]>jBZK<R>jB;F<R^:@;FL:]:@CZK:]>jBZK<R>jBwyIFxHIf;HfgI[c?Z:>Z:Fc?oc>oO;eZ2:\"\{\}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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination X (Example 5.2 from Rachid Seghir, Vincent Loechner, Benoit Meister)</Font></Text-field>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<Text-field style="Heading 2" layout="Heading 2"><Font foreground="[153,51,0]">Quantifier Elimination XI (Example 3.3 from Rachid Seghir, Vincent Loechner, Benoit Meister)</Font></Text-field>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TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNjE4MjgzNzY1NjYyNDEyWCwlKWFueXRoaW5nRzYjJSlpZGVudGl0eUc2IltnbCEiIiEhISMhIiMiI0Yn