InputRate.8-3.0 = 1
Solution.8-3.0 = 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APH//P8TAAIAAAIA8f/8/xUAAAAAAgD///z/FQAAAAACAO3/9v/7/wAAAAIA7f/7//z/AAAACADz////BAABAAABAO3//P///wMAAAIA7f/9//z/AAAACADz//7/+/8AAAACAPb////v/wAAABIA8////+7/AQAAAQDz//7/7f8AAAAJAPX/AADt/wAAAAEA6f/y/wwAAgAAAgD2//P/FAAAAAACAPP/+f8XAAAAAAEA7//+/xQAAgAAAQDw//z/EwACAAACAPD//f8SAAAAAAUA8v/8/xMAAwAAAgDx//z/EgAAAAACAPD//P8VAAAAAAIA///7/xUAAAAAAgDs//b/+/8AAAACAO3/+//9/wAAAAIA7f/7////AAAAAQDs//z///8DAAABAO3//P8AAAEAAAIA7f/+//z/AAAACADz////+/8AAAAJAPb/AADv/wAAABIA8v/+/+3/AwAAAQDo//L/DAAAAAABAOn/8v8NAAEAAAIA9v/0/xQAAAAAAgDy//n/FwAAAAASAO///v8TAAMAAIoA7//8/xMAAwAABADv//3/EgACAAASAPL/+/8TAAEAAAUA8v/8/xIAAwAAAgDv//z/FQAAAAACAP//+v8VAAAAAAIA7P/2//r/AAAAGQDt//b/+f8AAAAZAPH/9v/1/wAAAAIA7f/7//7/AAAAAgDt//v/AAAAAAABAOv//P///wMAABIA7P/8/wAAAAAAAQDt//z/AQABAAACAO7//v/8/wAAABIA8/8AAPv/AAAAEgDy////+/8AAAAFAPL////t/wMAAAEA6P/y/w0AAAAAAQDp//L/DgABAAACAPb/9f8UAAAAAAIA8v/6/xcAAAAAAQDv////EwADAAABAO///v8SAAIAAAEA8//7/xMAAQAAAgDv//v/FQAAAAAjAO7//P8VAAEAAAIA///5/xUAAAAAAgDr//b/+v8AAAACAO3/+/8BAAAAAAEA6//8/wAAAQAAEgDr//z//v8CAAARAOz//f8AAAAAAAEA7f/8/wIAAgAAAgDv//7//P8AAAACAO7//v/9/wAAABIA8/8AAPz/AAAAEgDy/////P8AAAAJAPL/AADt/wAAAAIA8f///+3/AAAAAQDo//L/DgAAAAASAOn/8/8OAAAAAAEA6f/y/w8AAQAAAgD2//b/FAAAAAACAPL/+/8XAAAAAAEA9P/7/xMAAgAAAQDz//v/EgADAAACAO7/+/8VAAAAAAgA7v/9/xUAAQAAAQDt//z/FQAAAAACAP//+P8VAAAAAAIA6v/2//r/AAAAAgDs//b/+P8AAAAJAPD/+v/w/wAAAA8A7//7//D/AgYAAgDt//v/AgAAAAABAOv//P8BAAEAABIA6//9//7/AgAAAgDt//z/AwAAAAACAPD//v/8/wAAAAIA7v/+//7/AAAAAgDw////7f8AAAASAOf/8v8OAAIAAAEA6P/y/w8AAwAABAD1//b/FAABAAACAPf/9v8UAAAAAAIA8v/8/xcAAAAAEgD0//z/EwAAAAABAPT/+/8SAAAAAAIA7f/7/xUAAAAACADu//7/FQABAAASAOz//P8VAAAAAAEA7f/8/xYAAgAAAQDt//z/FAAAAAACAAAA+P8VAAAAAAIA6f/2//r/AAAAAgDr//b/+P8AAAACAOz/9v/3/wAAAAkA8P/5//D/AAAAAgDv//r/8P8AAAACAO3/+/8DAAAAAAEA6//8/wIAAQAADwDr//7//v8BAgABAOv//f/9/wEAAAIA7f/8/wQAAAAABADx//7//P8AAAACAO7//v///wAAAAkA8P8AAO3/AAAADwDn//P/DgADCQAnAPX/9v8TAAAAAAIA+P/2/xQAAAAAAgDy//3/FwAAAAACAO3/+/8UAAAAAAgA7v///xUAAQAAAQDr//z/FQAAAAAIAO3//P8XAAIAAAEA7f/8/xMAAAAAAgABAPj/FQAAAAACAOj/9v/6/wAAAAIA6v/2//j/AAAAAgDs//b/9v8AAAAJAPD/+P/w/wAAAAIA7//5//D/AAAAAQDu//r/8P8CAAASAOr//P8CAAIAAAQA6/////7/AwAAAQDr//3//P8AAAACAO3//P8FAAAAAAAA8f/+//3/AQAAAgDu//7/AAAAAAACAOf/9P8OAAAAAA8A5//z/w0AAwkAEgDo//L/EQABAAAZAPX/9v8SAAAAAAIA+f/2/xQAAAAAAgDt//v/EwAAAAABAOv//P8WAAIAAAEA7P/8/xcAAgAAAQDu//z/FwABAAABAO3//P8YAAAAAAIA7P/8/xMAAAAAAQDt//z/EgAAAAACAAEA+P8UAAAAAAIA5//2//r/AAAAAgDp//b/+P8AAAACAOz/9v/1/wAAAAIA7//4//D/AAAAAQDt//r/8P8DAAASAOr//f8CAAIAABkA7P////7/AAAAEgDr//7//P8AAAACAO7//P8FAAAAAAAA8v/+//3/AQAAAADx//7//v8BAAAjAO7//f8AAAMAAAgA7v/+/wEAAwAAAgDn//X/DgAAAAACAOf/9P8NAAAAAAEA6P/z/xEAAQAAEgD1//f/EgADAAACAPr/9v8UAAAAAAIA7P/7/xMAAAAAAgDt//v/EgAAAAAEAOz//P8YAAEAAAEA7v/8/xgAAQAAAQDt//z/GQADAAAEAOv//P8TAAIAAAIAAQD4/xMAAAAAAgDm//b/+v8AAAACAOj/9v/4/wAAAAIA7P/2//T/AAAAJwDt/////v8AAAACAO///P8FAAAAAAAA8v/+//7/AQAACADu//3/AQADAAAAAO7//v8CAAIAABIA6//+//H/AgAAigDn/+7/BgAAAAACAOf/9v8OAAAAAAEA5//z/xEAAwAABADo//P/EgADAAABAOj/8/8QAAIAABIA9f/4/xIAAQAAAgD7//b/FAAAAAACAO3/+/8RAAAAAAIA7P/7/xgAAAAAEgDr//z/GAABAAABAOz//P8ZAAMAAIoA7v/8/xkAAQAAAQDt//z/GgACAAABAOr//P8TAAIAAAIAAQD4/xIAAAAAAgDl//b/+v8AAAACAOf/9v/4/wAAAAkA6//4//j/AAAAAgDs//b/8/8AAAASAO3/AAD+/wMAAAQA8P/8/wUAAQAAEgDu////AgAAAAAIAO7//v8DAAMAABIA6/////H/AgAABADo//b/DgADAAABAOb/8/8RAAMAAAEA5//z/xAAAgAADwDo//T/EgABAgCKAOn/8/8SAAEAABIA6P/0/xAAAgAAEgD1//j/EQABAAACAPv/9v8TAAAAAAIA7v/7/xEAAAAAAgDs//v/GQAAAAARAOv//f8YAAEAAAEA6v/8/xgAAAAAAQDr//z/GQADAAABAOz//P8aAAIAABIA7//8/xkAAQAAAgDt//z/GwAAAAABAOr//P8UAAAAABIA6v/8/xIAAQAAAgABAPj/EQAAAAACAOT/9v/6/wAAAAIA4//1//r/AAAAAgDm//b/+P8AAAACAOr/+P/4/wAAAAkA6//5//j/AAAAAgDs//b/8v8AAAASAO7/AAD+/wMAAAEA8P/8/wQAAQAACQDu/wAAAgADAAASAO////8CAAIAAAgA7v/9/wMAAwAAEgDr/wAA8f8CAAAZAOn/9v8OAAAAAAEA5v/z/xAAAAAADwDn//T/EgABAgASAPX/+P8QAAEAAAIA+//2/xIAAAAAIwDu//z/EQAAAAACAOz/+/8aAAAAAAEA6f/8/xgAAAAAAQDq//z/GQADAAABAOr//P8XAAAAAAEA6//8/xoAAgAAEgDv//3/GQABAAAPAO3//f8bAAAGAAIA7f/7/xsAAAAAEgDu//z/GwABAAABAO3//P8cAAMAAAIAAQD4/xAAAAAAAgDj//T/+v8AAAACAOP/9v/6/wAAAAIA5f/2//j/AAAAAgDq//n/+P8AAAAJAOv/+v/4/wAAAAIA7P/2//H/AAAACQDs//f/8P8DAAASAO//AAD+/wMAAAUA7v8AAAEAAwAAAQDw////AgADAAAZAOv/AQDx/wAAABIA6v/2/w4AAgAAAgDn//X/EgAAAAAPAOb/9P8SAAECABIA9f/4/w8AAQAAAgD7//b/EQAAAAAIAO7//f8RAAAAAAIA7P/7/xsAAAAAAQDo//z/GAAAAAABAOn//P8ZAAMAAAEA6f/8/xcAAAAAAQDq//z/GgACAAABAO///v8ZAAIAAAQA7v/9/xsAAQAAAQDu//z/HAACAAAFAAEA+P8PAAEAAAIA4//0//n/AAAAAgDk//b/+P8AAAACAOr/+v/4/wAAAAIA7P/2//D/AAAAEgDw/wAA/v8DAAASAOv/9v8OAAIAAAIA5//2/xIAAAAAAgDm//X/EgAAAAASAPX/+P8OAAEAAAIA+//2/xAAAAAACADu//7/EQAAAAASAOz/+v8bAAIAAAEA7P/7/xwAAQAAAgDo//v/GAAAAAABAOj//P8ZAAAAAAEA6P/8/xcAAAAAAQDp//z/GgABAAABAOn//P8WAAAAAAEA8P/+/xkAAgAACADu//3/GgABAAASAO///P8cAAMAAAIA4//0//j/AAAAAgDj//b/+P8AAAABAOn/+v/4/wIAAA8A6v/7//j/AgYAEgDx/wAA/v8BAAASAOz/9v8OAAIAABIA5//3/xIAAAAABADo//b/EgADAAASAPb/+P8OAAMAAAQA+//2/w8AAgAACADu////EQAAAAASAOz/+v8cAAIAACcA6//7/xwAAAAAEgDs//v/HQAAAAACAOf/+/8YAAAAAAIA6P/7/xcAAAAAAgDn//z/GQAAAAABAOj//P8aAAMAAAEA6P/8/xYAAAAAAQDw//7/GAAAAAAIAO7//v8aAAEAABIA8P/8/xwAAwAADwDj//P/+P8BAgACAOL/9P/4/wAAAAIA4//0//f/AAAAAgDj//b/9/8AAAABAOj/+v/4/wMAABIA8f8AAP//AAAAEgDt//b/DgACAAABAOb/9/8SAAIAABkA6f/2/xIAAAAAEgD2//f/DgAAAAASAPf/+P8OAAMAAAQA9v/4/w0AAQAAGQD6//b/DwAAAAABAOv//P8cAAMAAAEA6//7/x0AAwAAAgDn//v/GQAAAAACAOj/+/8WAAAAAAIA5//9/xkAAAAAEgDo//v/GgABAAABAOf//P8WAAMAAAEA6P/8/xUAAAAACADu////GgABAAASAPH//P8cAAMAAA8A4v/z//j/AQIAAgDj//T/9v8AAAACAOP/9v/2/wAAABIA8f8AAAAAAAAAJwDu//b/DgAAAAABAOX/9/8SAAMAABIA5v/3/xMAAgAAEgD2//f/DQAAAAASAPj/+P8OAAMAAIMA9v/4/wwAAwAAJwD5//b/DwAAAAABAOr//P8cAAMAAAIA5//7/xoAAAAAAgDo//v/FQAAAAACAOf//v8ZAAAAABIA6P/7/xsAAQAAAQDm//z/FgADAAASAOf//P8VAAEAAAEA6P/8/xQAAAAAEgDt////GgABAAASAO7///8bAAEAABIA8f/9/xwAAwAAAQDj//L/9/8BAAACAOP/9P/1/wAAAAIA4//2//X/AAAACADx/wAAAQAAAAAEAOX/9/8TAAAAAA8A5v/4/xMAAQYAEgD2//f/DAABAAASAPj/+P8PAAMAAIMA9v/4/wsAAwAAEgD5//f/DwADAAABAOn//P8cAAMAAAIA5v/7/xoAAAAAAgDo//v/FAAAAAACAOj//v8ZAAAAABIA5f/8/xYAAAAAAQDm//z/FQAAAAARAOf//f8VAAEAAAEA6P/8/xMAAgAAEgDt////GQABAAASAPH//v8cAAAAAAEA4v/y//f/AwAAAQDj//L/9v8CAAAPAOP/8//1/wACAAIA4v/0//X/AAAAAQDj//T/9P8BAAACAOP/9v/0/wAAAAgA8f8BAAEAAAAAEgDp//v/5/8BAAAPAOX/+P8TAAEGABIA5f/3/xQAAAAABADn//j/EwADAAASAPn/+P8PAAMAAAEA6P/8/xwAAwAAAgDl//v/GgAAAAACAOj/+/8TAAAAAAIA6f/+/xkAAAAAEgDl//z/FwAAAAABAOb//P8UAAAAAAIA6P/8/xIAAAAADwDx////HAABAgABAPD//v8cAAIAABIA8f/+/x0AAgAAAQDx//7/GwADAAABAOH/8v/3/wMAAAEA4v/y//b/AgAADwDi//P/9f8AAgABAOL/9P/0/wMAAAEA4//0//P/AQAAAgDi//b/9P8AAAACAOP/9v/z/wAAABIA6f/7/+b/AQAAEgDl//f/FQAAAAASAOj/+P8TAAIAAAEA5//8/xwAAwAAAgDk//v/GgAAAAACAOj/+/8SAAAAAAIA6v/+/xkAAAAAAgDp//7/GAAAAAASAOX//f8XAAAAABIA5f/8/xgAAAAAAQDm//z/EwAAAAACAOj//P8RAAAAAAkA8f8AABwAAQAAEgDx////GwAAAAABAO///v8cAAMAABIA8P/+/x0AAgAAEQDw//7/GwABAAABAPL//v8bAAIAAAEA4f/y//b/AAAAAQDh//T/9P8BAAABAOL/9P/z/wAAAAEA4//0//L/AQAAAgDi//b/8/8AAAACAOP/9v/y/wAAABIA4//7/+v/AwAAEgDp//v/5f8BAAAnAOX/9/8WAAAAAAgA6P/4/xQAAwAACADo//j/EgADAAAFAOb//P8cAAIAAAEA5//8/x0AAQAAAQDn//z/GwAAAAACAOP/+/8aAAAAAAIA6//+/xkAAAAAAgDp//7/FwAAAAABAOX//v8XAAEAABIA5f/8/xkAAAAAEgDl//z/EwACAAACAOj//P8QAAAAAAkA8f8BABwAAAAAEgDv////HAACAAASAO///v8dAAIAAA8A8P///x0AAQIAAQDg//T/9P8DAAABAOH/9P/z/wEAAAEA4v/0//L/AAAAAQDj//T/8f8BAAACAOL/9v/y/wAAABIA4v/7/+v/AwAAEgDp//v/5P8BAAAZAOX/9/8XAAAAAAgA6P/5/xQAAwAAEgDo//j/FQACAAAIAOj/+f8SAAMAABEA6P/4/xEAAwAACQDm//3/HAACAAASAOX//P8cAAEAAAEA5v/8/x0AAwAAAQDm//z/GwADAAACAOP/+v8aAAAAAAQA7P/+/xkAAQAAAgDp//7/FgAAAAASAOb//v8XAAIAAAEA5f/+/xYAAAAAEgDk//z/GQACAAASAOX//f8TAAIAAAIA6f/8/xAAAAAAAgDx/wIAHAAAAAAPAO////8dAAECABIA7v/+/x0AAgAACQDw/wAAHQABAAABAOD/9P/z/wAAAAEA4f/0//L/AQAAAQDi//T/8f8AAAABAOP/9P/w/wEAAAIA4f/2//L/AAAAAgDi//b/8f8AAAASAOH/+//r/wMAAIoA6f/8/+T/AQAAEgDl//j/FwAAAAAIAOj/+P8WAAMAABIA5P/8/xwAAQAAAQDl//z/HQADAAABAOX//P8bAAMAAAIA4//5/xoAAAAAAADs//7/GAAAAAACAOn//v8VAAAAAAQA5v///xcAAwAAEgDj//z/GQACAAACAOr//P8QAAAAAAIA8f8DABwAAAAAEgDx/wIAGwADAAAJAO//AAAdAAEAABIA7f/+/x0AAgAAAQDg//T/8v8AAAABAOH/9P/x/wEAAAEA4v/0//D/AAAAAQDj//T/7/8CAAACAOH/9v/x/wAAAAEA4v/3//H/AwAAAgDi//b/8P8AAAASAOD/+//r/wMAACcA6f/9/+T/AAAAEgDl//j/GAAAAAAIAOj/+f8WAAMAACcA4//8/xwAAAAAAQDk//z/HQADAAABAOT//P8bAAMAAAIA4//4/xoAAAAAAADt//7/GAAAAAAAAOz//v8XAAAAACMA6f/9/xUAAwAACADp//7/FAADAAAnAOf///8XAAAAAA8A5v///xYAAgIAEgDj//3/GQAAAAAEAOv//P8QAAAAAJUA8f8DABsAAAAAEgDt////HQABAAABAOD/9P/x/wAAAAEA4f/0//D/AwAAAQDi//T/7/8CAAACAOH/9v/w/wAAABIA3//7/+v/AwAAEgDm//j/GAACAAACAOP/9/8aAAAAAAAA7f/+/xcAAAAACADp//3/FAADAAAAAOn//v8TAAIAABkA6P///xcAAAAAEgDj//7/GQAAAAABAOv//P8RAAAAAA8A7f8AAB0AAgIAAQDs////HQACAAABAOD/9P/w/wAAAAEA4f/0/+//AQAAAgDh//f/8P8AAAACAOD/9v/w/wAAABIA3v/7/+v/AwAAEgDn//j/GAACAAACAOT/9/8aAAAAABIA6f///xMAAgAACADp//7/EgADAAASAOj/AAAXAAIAABIA4////xkAAQAACQDt/wAAHAABAAABAOv///8dAAMAABIA7P///xwAAAAAAQDg//T/7/8AAAABAOH/9P/u/wEAAAUA4P/3//D/AgAAAgDh//f/7/8AAAASAN3/+//r/wMAABIA6P/4/xgAAgAAAgDl//f/GgAAAAAJAOn/AAATAAMAABIA6v///xMAAgAACADp//3/EgADAAASAOn/AAAXAAIAABIA4/8AABkAAQAACQDs/wAAHAABAAABAOD/9P/u/wMAAAEA4f/0/+3/AQAAAgDh//f/7v8AAAASANz/+//r/wMAABIA6f/4/xgAAgAAAgDm//f/GgAAAAAFAOn/AAAUAAMAAAEA6////xMAAwAAEgDq/wAAFwACAAASAOP/AAAaAAEAABIA3//0/+7/AgAAAQDg//T/7f8AAAABAOH/9P/s/wIAAAIA4f/2/+7/AAAAEgDb//v/6/8DAAASAOr/+P8YAAIAAAIA5//3/xoAAAAAEgDr/wAAFwACAAAnAOP/AAAbAAAAAAIA3//1/+7/AAAAAQDg//T/7P8AAAASANr/+//r/wMAABIA6//4/xgAAgAAAgDo//f/GgAAAAASAOz/AAAXAAEAACcA4v8AABsAAAAAAADf//b/7v8AAAACAN7/9f/u/wAAAA8A3//1/+3/AwgAEgDZ//v/6/8BAAASAOz/+P8YAAIAAAIA6f/3/xoAAAAAEgDs/wAAFgABAAASAOL/AQAbAAAAAAQA3v/2/+7/AwAAEgDZ//z/6/8BAAASANn/+//s/wEAAAgA7P/4/xcAAQAAAgDq//f/GgAAAAASAOz/AAAVAAEAACcA4v8BABwAAgAAEgDi/wEAGgABAAASANn//f/r/wEAABIA2f/7/+3/AQAACADs//n/FwABAAASAO3/+P8XAAMAAAIA6//3/xoAAAAACADs/wAAFAABAAABAOP/AQAcAAIAABIA4v8BABkAAQAAJwDZ//7/6/8AAAASANn/+//u/wEAABIA7v/4/xcAAwAAAgDs//f/GgAAAAAIAOz/AQAUAAEAABIA4v8BABgAAQAAJwDa//7/6/8AAAASANn/+//v/wEAABIA7//4/xcAAwAAAgDt//f/GgAAAAASAOL/AQAXAAEAABIA2v///+v/AgAAEgDZ//v/8P8BAAAIAO//+P8WAAIAAAIA7v/3/xoAAAAAEgDi/wEAFgABAAASANv////r/wMAABkA2v///+r/AAAAigDZ//z/8P8BAAAIAO//+f8WAAIAABIA7//4/xUAAAAAAgDv//f/GgAAAAASAOL/AQAVAAEAABIA3P///+v/AwAAGQDb////6v8AAAAnANn//f/w/wAAAAgA7//4/xQAAgAAAgDw//f/GgAAAAASAOL/AQAUAAAAABIA3f///+v/AwAAJwDZ//3/8f8AAAAIAO//+f8UAAIAABIA7//4/xMAAAAAAgDx//f/GgAAAAASAOL/AQATAAAAABIA3v///+v/AwAACADv//j/EgACAAACAPL/9/8aAAAAABIA4v8BABIAAAAAEgDf////6/8DAAAIAO//+f8SAAIAAAEA7//3/xIAAQAAAgDz//f/GgAAAAASAOL/AQARAAAAABIA4P///+v/AwAABADw//f/EgACAAACAPT/9/8aAAAAABIA4v8BABAAAQAAEgDh////6/8DAAAPAPD/9v8SAAMGAAIA9f/3/xoAAAAAEgDi/wEADwABAAASAOL////r/wMAAAIA8P/2/xEAAAAAAgD2//f/GgAAAAASAOL/AQAOAAEAABIA4////+v/AwAAAgDw//X/EQAAAAACAPf/9/8aAAAAABIA4v8BAA0AAQAAEgDk////6/8DAAACAPD/9P8RAAAAAAEA8f/1/xEAAAAAAgD4//f/GgAAAAASAOL/AQAMAAEAABIA5f///+v/AwAABADw//P/EQACAAASAPL/9f8RAAAAAAEA8f/1/xIAAQAAAgD5//f/GgAAAAASAOL/AQALAAEAABIA5v///+v/AwAAigDv//P/EQAAAAASAPL/9v8RAAAAAAIA+v/3/xoAAAAAEgDi/wEACgABAAASAOf////r/wMAABIA7v/z/xEAAAAAGQDy//f/EQAAAAACAPv/9/8aAAAAABIA4v8BAAkAAQAAEgDo////6/8DAAACAPz/9/8aAAAAABIA4v8BAAgAAQAAEgDp////6/8DAAACAP3/9/8aAAAAACcA4v8BAAcAAAAAEgDq////6/8DAAACAP7/9/8aAAAAACcA4f8BAAcAAAAAEgDr////6/8DAAACAP//9/8aAAAAABIA4P8BAAcAAgAAEgDh/wEABgACAAASAOz////r/wMAAAIAAAD3/xoAAAAAEgDf/wEABwACAAASAOH/AQAFAAEAABIA7f///+v/AwAAAgABAPf/GgAAAAASAN7/AQAHAAIAABIA4f8BAAQAAQAAEgDu////6/8DAAACAAIA9/8aAAAAABIA3f8BAAcAAgAAEgDh/wEAAwABAAASAO/////r/wMAAAIAAwD3/xoAAAAAEgDc/wEABwACAAASAOH/AQACAAEAABIA8P///+v/AwAAAgAEAPf/GgAAAAASANv/AQAHAAIAABIA4f8BAAEAAAAAEgDx////6/8DAAACAAUA9/8aAAAAABIA2v8BAAcAAgAAEgDh/wEAAAAAAAASAPL////r/wMAAAIABgD3/xoAAAAAJwDZ/wEABwAAAAASAOH/AQD//wAAABIA8////+v/AwAAAgAGAPj/GgAAAAABANj/AQAHAAAAABIA4f8BAP7/AAAAEgD0////6/8DAAACAAYA+f8aAAAAACcA4f8BAP3/AAAAEgD1////6/8DAAACAAYA+v8aAAAAABIA9v///+v/AwAAAgAGAPv/GgAAAAASAPf////r/wMAAAIABgD8/xoAAAAAEgD4////6/8DAAACAAYA/f8aAAAAABIA+f///+v/AgAAAgAGAP3/GQAAAAASAPr////r/wIAAAIABgD9/xgAAAAAEgD7////6/8CAAACAAYA/f8XAAAAABIA/P///+v/AgAAAgAGAP3/FgAAAAASAP3////r/wIAAAIABgD9/xUAAAAAEgD+////6/8CAAACAAYA/f8UAAAAABIA/v///+r/AQAAAgAGAP3/EwAAAAASAP7////p/wEAAAIABgD9/xIAAAAAEgD+////6P8BAAACAAYA/f8RAAAAABIA/v///+f/AAAAAgAGAP3/EAAAAAASAP7////m/wAAAAIABgD9/w8AAAAAEgD+////5f8AAAACAAYA/f8OAAAAABIA/v///+T/AAAAAgAGAP3/DQAAAAASAP7////j/wAAAAIABgD9/wwAAAAAEgD+////4v8AAAACAAYA/f8LAAAAABIA/v///+H/AAAAAgAGAP3/CgAAAAASAP7////g/wAAAAIABgD9/wkAAAAAEgD+////3/8AAAACAAYA/f8IAAAAABIA/v///97/AAAAAgAGAP3/BwAAAAASAP7////d/wAAAAIABgD9/wYAAAAAEgD+////3P8BAAACAAYA/f8FAAAAABIA/v8AANz/AQAAAgAGAP3/BAAAAAAnAP7/AQDc/wAAAAIABgD9/wMAAAAAGQD//wEA3P8AAAACAAYA/f8CAAAAAAIABgD9/wEAAAAAAgAGAP3/AAAAAAACAAYA/f///wAAAAIABgD9//7/AAAAAgAGAP3//f8AAAAFAAYA/f/8/wEAABIA/v8AAA4AAQAAAQD+/wAADwABAAASAP7/AQAPAAAAABIA/v8AABAAAQAAEgD+/wIADwAAAAASAP7/AAARAAEAABIA/v8DAA8AAAAAEgD+/wAAEgAAAAASAP7/AwAQAAAAABIA/v8AABMAAAAAEgD+/wMAEQABAAASAP7/AAAUAAMAABIA/v8DABIAAQAAEgD+/wAAFQADAAASAP7/AwATAAEAABIA/v8AABYAAwAAEgD+/wMAFAABAAASAP3/AAAWAAMAABIA/v8DABUAAQAAEgD8/wAAFgADAAASAP7/AwAWAAIAABIA+/8AABYAAAAAEgD+/wMAFwABAAASAPr/AAAWAAAAABIA/v8DABgAAQAAEgD6/wAAFwAAAAASAP7/AwAZAAEAABIA+v8AABgAAAAAEgD+/wMAGgADAAABAPr///8YAAEAABIA/f8DABoAAwAAEgD8/wMAGgADAAASAPv/AwAaAAMAABIA+v8DABoAAwAAEgD5/wMAGgADAAASAPj/AwAaAAMAABIA8P/8/wkAAAAAEgDv//z/CQAAAAASAO///f8JAAAAABIA7//+/wkAAAAAEgDv////CQAAAAASAO//AAAJAAIAABIA8P8AAAkAAgAAgwDz//r/BQAAAACDAPT/+v8FAAAAABIA9P/5/wUAAAAABAD1//r/BQACAAASAPX/+f8FAAEAABIA9v/6/wUAAwAAEgD2//n/BQABAAASAPf/+v8FAAIAABIA9//6/wYAAQAAEgD1//n/AAADAAAIAPX/+f8BAAIAAAgA9f/5////AgAACAD1//r/AQACAAASAPX/+f8CAAMAAAgA9f/6////AgAABAD2//n///8CAAAIAPX/+f8DAAIAAAgA9f/6/wMAAgAAAQD2////AAACAAABAPb///8BAAEAAAEA9v//////AQAAAQD2////AgACAAABAPb////+/wEAAAEA9v///wMAAQAAEgD3/////v8BAAABAPb////9/wEAABIA+P////7/AwAAAQD2/////P8BAAAEAPj////9/wAAAAEA9v////v/AgAABAD4//f/BAACAAAZAPf/9/8EAAAAACcA9v/3/wQAAAAAEgD4//n///8AAAAnAPT/9/8DAAAAAAQA9f/3/wMAAgAAEgD3//X/EwABAAASAPD/9//5/wEAACcA7//3//n/AAAAGQDx//f/+f8AAAASAO//9//6/wIAACMA7v/3//r/AwAAIwDt//f/+v8DAAAnAPT/9////wAAACMA9f/3////AgAAEgDu//X/EQAAAAASAO7/9v8RAAAAACcA7v/3/xEAAAAAIwDs//f//f8DAAAnAO3/9//9/wAAACcA7f/3//7/AAAAEgDu//7/8P8DAAASAOH//P/2/wAAAJUA4v/7//H/AgAAAQD6/wYAAAABAAAZAPv/BgAAAAAAAAEA+/8GAAEAAgAAJwD7/wYA//8AAAABAPj/BgAXAAIAACcA+P8GABgAAAAAAQD3/wYAGAAAAAAZAPj/BgAZAAAAAAIA9v/7////AAAAEgD4/wMA/v8DAAASAPf/AwD+/wMAABIA+f8DAP7/AwAAEgD2/wMA/v8BAAASAPr/AwD+/wMAABIA9v8DAP//AQAAEgD2/wMAAAABAAAIAPb/AwABAAAAAAgA9f8DAAEAAAAAEgD9/wIA/f8DAAASAOj//v/4/wEAABkA6P/4/wYAAAAABADn//j/BgADAAAnAOn/+P8GAAAAAA8A5//5/wYAAgYAAQDm//j/BgACAAABAOX/+P8GAAMAABIA5f/5/wYAAgAAEgDy/wQA+f8CAAASAPD/BQADAAMAAAQA8P8GAAMAAwAAEgDv/wUAAwADAAASAPH/BQADAAEAAIMA8f8GAAMAAQAAEgDu/wUAAwADAACDAPL/BgADAAEAAIMA8f8GAAQAAQAABQDx/wYAAgAAAAASAO3/BQADAAIAABIA8f8HAAIAAgAAEgDs/wUAAwACAAASAPL/BwACAAEAABIA6/8FAAMAAgAAEgDy/wgAAgADAAASAOv/BQACAAEAABIA8v8JAAIAAwAAEgDr/wUAAQABAAASAPP/CQACAAMAABIA6/8FAAAAAQAAEgD0/wkAAgADAAASAOv/BQD//wEAABIA9f8JAAIAAwAAEgDr/wUA/v8BAAASAPb/CQACAAMAABIA6/8FAP3/AQAAEgD3/wkAAgADAAASAOv/BQD8/wEAABIA+P8JAAIAAwAAEgDr/wUA+/8BAAASAPn/CQACAAMAABIA6/8FAPr/AQAAEgD6/wkAAgADAAASAOv/BQD5/wEAABIA+v8JAAEAAgAAEgDr/wUA+P8BAAASAPr/CQAAAAEAABIA6/8FAPf/AQAAEgD6/wkA//8DAAASAOv/BQD2/wEAABIA+/8JAP//AwAAEgDr/wUA9f8BAAASAOv/BQD0/wEAABIA6/8FAPP/AQAAEgDr/wUA8v8BAAASAOr/BQDy/wAAABIA6/8FAPH/AQAAEgDp/wUA8v8AAAASAOn/BQDx/wEAABIA6f8FAPD/AQAAEgDp/wUA7/8BAAASAOn/BQDu/wEAABIA6f8FAO3/AQAAEgDp/wUA7P8BAAASAOn/BQDr/wEAABIA6f8FAOr/AQAAEgDp/wUA6f8BAAASAOn/BQDo/wEAABIA6f8FAOf/AQAAEgDp/wUA5v8BAAASAOn/BQDl/wEAABIA6f8FAOT/AQAAEgDp/wUA4/8BAAASAOn/BQDi/wEAABIA6f8FAOH/AQAAEgDp/wUA4P8BAAASAOn/BQDf/wEAABIA6f8FAN7/AgAAEgDo/wUA3v8CAAASAOf/BQDe/wIAABIA5v8FAN7/AgAAEgDl/wUA3v8CAAASAOT/BQDe/wIAABIA4/8FAN7/AgAAEgDi/wUA3v8CAAASAAYA+v8HAAAAAIoA5//z/wYAAAAAJwD6//7/FgAAAAABAPv//v8WAAAAAAEA/P/+/xYAAgAAEgDx//j/EgAAAAABAOj//f8bAAMAAAEA6f/9/xsAAQAAEgDl//n/EgACAACKANj/+v/2/wEAAIoA2P/7//b/AQAAEgDY//z/9v8AAAASANj//f/2/wAAABIA2P/+//b/AAAAEgDY//7/9/8AAAASAN//+f/w/wAAABIA3//6//D/AAAAEgDf//v/8P8AAAASAN///P/w/wAAABIA3//9//D/AAAAEgDs/wIAHQABAAASAO7/BAAcAAEAABIA7P8HABMAAgAAEgDs/wgAEwABAAASAO3/CAATAAEAABIA7f8IABQAAQAAEgDt/wkAFAABAAASAO3/CgAUAAEAABIA7v8KABQAAwAAEgDv/woAFAADAAASAPD/CgAUAAMAABIA8f8KABQAAwAAEgDy/woAFAADAAASAPP/CgAUAAMAABIA9P8KABQAAwAAEgD1/woAFAADAAASAPb/CgAUAAMAABIA9/8KABQAAQAAEgD3/woAFQABAAASAPf/CgAWAAEAABIA9/8KABcAAQAAEgD3/woAGAABAAASAPf/CgAZAAEAABIA+P8KABkAAAAAEgDu/wAAEwAAAAASAOP/BAAYAAAAABIA4/8EABkAAwAAEgDj/wQAFwAAAAASAOP/BAAaAAMAABIA4/8EABYAAQAAEgDj/wQAGwAAAAASAOP/BAAVAAAAAAQA4/8FABsAAAAAEgDj/wQAHAAAAAASAOP/BAAUAAAAAIMA4/8FABwAAgAAEgDj/wQAEwADAACDAOT/BQAcAAIAAIMA4/8FAB0AAgAAEgDi/wQAEwACAAASAOP/BAASAAEAACcA4v8DABMAAAAAEgDh/wQAEwADAAASAOP/BAARAAEAABIA4P8EABMAAwAAEgDj/wQAEAABAAASAN//BAATAAMAABIA4/8EAA8AAQAAEgDe/wQAEwADAAASAOT/BAAPAAEAABIA3f8EABMAAwAAEgDc/wQAEwADAAASANv/BAATAAMAABIA2v8EABMAAQAAEgDa/wQAEgABAAASANr/BAARAAEAABIA2v8EABAAAQAAEgDa/wQADwABAAASANr/BAAOAAEAABIA2v8EAA0AAQAAEgDa/wQADAABAAASANr/BAALAAEAABIA2v8EAAoAAAAAEgDa/wQACQAAAAASANr/BAAIAAIAABIA2v8EAAcAAQAAEgDa/wQABgABAAASANr/BAAFAAEAABIA2v8EAAQAAQAAEgDa/wQAAwABAAASANr/BAACAAEAABIA2v8EAAEAAQAAEgDa/wQAAAABAAASANr/BAD//wEAABIA2v8EAP7/AQAAEgDa/wQA/f8BAAASAOX/AAAXAAAAAIoA2f/5/xMAAAAAigDZ//r/EwAAAAASANn/+/8TAAEAABIA2f/8/xMAAQAAEgDZ//3/EwAAAAASANn//f8SAAAAAAEA8P8AABIAAgAAAQDw/wAAEwAAAAABAPD/AAAUAAIAAAEA8P8AABUAAAAAAQDw/wAAFgAAAAASAPH/AAAWAAAAAAEA8P8AABcAAAAAEgDy/wAAFgAAAAAEAPL/AAAXAAEAAAgA8P8EABQAAQAACADx/wQAFAABAAASAPH/BAAVAAAAABIA8f8EABYAAAAAEgDy/wQAFgADAAASAPP/BAAWAAMAABIA9P8EABYAAwAAEgD1/wQAFgADAAAEAO7/CQAaAAEAAJUA7v8JABsAAAAACADv/wkAGwACAAAIAO//CAAbAAIAABIA7P/6/wMAAwAAEgDs//n/AwACAAASAO3/+f8DAAIAAAgA7v/5/wMAAwAACADu//j/AwADAAASAO7/+f8CAAIAAAgA7v/5/wEAAwAACADu//j/AQADAAASAO7/+f8AAAIAAAgA7v/5////AwAACADu//j///8DAAASAO7/+f/+/wIAABIA7//5//7/AgAAEgDv//j//v8CAAASAPD/+P/+/wIAAAgA8f/4//7/AAAACADx//n//v8AAAASAOv/+v8DAAAAABIA6//6/wQAAAAAEgDr//r/BQAAAAASAOv/+v8GAAIAABIA6v/6/wYAAgAAEgDp//r/BgACAAA=