InputRate.2-1.0 = 1
Solution.2-1.0 = AwAAAEgBAAASAPf/AQD4/wAAABIA9v8BAPj/AAAAEgD3/wEA+f8AAAASAPf/AQD3/wAAABIA+P8BAPr/AQAAEgD2/wEA+f8AAAASAPb/AQD3/wAAABIA9/8BAPr/AgAAEgD3/wEA9v8AAAASAPj/AQD7/wMAABIA9v8BAPr/AgAAEgD2/wEA9v8AAAASAPf/AQD1/wIAABIA+v8BAPr/AwAAEgD4/wEA/P8AAAASAPb/AQD1/wIAABIA9/8BAPT/AgAAEgD7/wEA+v8DAAASAPr/AQD7/wMAABIA+P8BAP3/AAAAEgD2/wEA9P8CAAASAPv/AQD7/wMAABIA+v8BAPz/AgAAEgD4/wEA/v8AAAASAPz/AQD7/wMAABIA+/8BAPz/AgAAEgD6/wEA/f8DAAASAPj/AQD//wAAABIA/f8BAPv/AwAAEgD8/wEA/P8CAAASAPv/AQD9/wMAABIA+v8BAP7/AgAAEgD4/wEAAAAAAAASAP7/AQD7/wMAABIA/f8BAPz/AgAAEgD8/wEA/f8DAAASAPv/AQD+/wIAABIA+v8BAP//AwAAEgD//wEA+/8DAAASAP7/AQD8/wIAABIA/f8BAP3/AwAAEgD8/wEA/v8CAAASAPv/AQD//wMAABIA+v8BAAAAAgAAEgD3/wEAAQACAAASAAAAAQD7/wMAABIA//8BAPz/AgAAEgD+/wEA/f8DAAASAP3/AQD+/wIAABIA/P8BAP//AwAAEgD7/wEAAAACAAASAPb/AQABAAIAABIAAQABAPv/AwAAEgAAAAEA/P8CAAASAP//AQD9/wMAABIA/v8BAP7/AgAAEgD9/wEA//8DAAASAPz/AQAAAAIAABIA9f8BAAEAAgAAEgACAAEA+/8DAAASAAEAAQD8/wIAABIAAAABAP3/AwAAEgD//wEA/v8CAAASAP7/AQD//wMAABIA/f8BAAAAAgAAEgD0/wEAAQACAAASAAMAAQD7/wMAABIAAgABAPz/AgAAEgABAAEA/f8DAAASAAAAAQD+/wIAABIA//8BAP//AwAAEgD+/wEAAAACAAASAPP/AQABAAIAABIABAABAPv/AwAAEgADAAEA/P8CAAASAAIAAQD9/wMAABIAAQABAP7/AgAAEgAAAAEA//8DAAASAP//AQAAAAIAABIA8v8BAAEAAgAAEgAHAAEA+P8BAAASAAUAAQD7/wMAABIABAABAPz/AgAAEgADAAEA/f8DAAASAAIAAQD+/wIAABIAAQABAP//AwAAEgAAAAEAAAACAAASAPH/AQABAAIAABIA8v8BAAAAAQAAEgAHAAEA+f8BAAASAAcAAQD3/wEAABIABgABAPr/AwAAEgAGAAEA+/8DAAASAAUAAQD8/wIAABIABAABAP3/AwAAEgADAAEA/v8CAAASAAIAAQD//wMAABIAAQABAAAAAgAAEgDy/wEA//8BAAASAAcAAQD6/wMAABIABwABAPb/AQAAEgAHAAEA+/8DAAASAAYAAQD8/wMAABIABQABAP3/AwAAEgAEAAEA/v8CAAASAAMAAQD//wMAABIAAgABAAAAAgAAEgDy/wEA/v8BAAASAAgAAQD6/wAAABIABwABAPX/AQAAEgAIAAEA+/8AAAASAAcAAQD8/wAAABIABgABAP3/AwAAEgAFAAEA/v8CAAASAAQAAQD//wMAABIAAwABAAAAAgAAEgDy/wEA/f8BAAASAAgAAQD8/wAAABIABwABAP3/AAAAEgAGAAEA/v8CAAASAAUAAQD//wMAABIABAABAAAAAgAAEgDy/wEA/P8BAAASAAgAAQD9/wAAABIABwABAP7/AAAAEgAGAAEA//8DAAASAAUAAQAAAAIAABIA//8FAAIAAQAAEgDy/wEA+/8BAAASAAgAAQD+/wAAABIABwABAP//AAAAEgAGAAEAAAACAAASAP//BgACAAEAABIACAABAP//AAAAEgAHAAEAAAAAAAABAP//BwACAAMAABIACAABAAAAAAAAEgAHAAEAAQAAAAASAAgAAQABAAAAABIABwABAAIAAAAAEgAIAAEAAgAAAAASAAgAAQADAAAAABIA+P8HAPn/AwAAEgD5/wcA+f8DAAASAPr/BwD5/wMAABIA+/8HAPn/AwAAEgD8/wcA+f8AAAASAPz/BwD4/wAAABIA/P8HAPf/AAAAEgD8/wcA9v8AAAASAPz/BwD1/wAAABIA/P8HAPT/AAAAEgD8/wcA8/8AAAASAPz/BwDy/wAAABIA/P8HAPH/AAAAEgD8/wcA8P8AAAASAPz/BwDv/wAAABIA/P8HAO7/AgAAEgD9/wcA7v8CAAASAP7/BwDu/wIAABIA//8HAO7/AgAAEgAAAAcA7v8BAAASAAEABwDu/wMAABIAAgAHAO7/AwAAEgADAAcA7v8DAAASAAQABwDu/wMAABIABQAHAO7/AwAAEgAGAAcA7v8DAAASAAcABwDu/wMAABIABwAHAO3/AQAAEgAHAAcA7P8BAAASAAcABwDr/wEAABIABwAHAOr/AQAAEgAHAAcA6f8BAAASAAcABwDo/wAAABIABwAHAOf/AAAAEgAHAAcA5v8AAAASAAcABwDl/wAAABIABwAGAOX/AQAAEgAHAAUA5f8BAAASAAcABADl/wEAABIABwADAOX/AQAAEgAHAAMA5v8BAAASAAcAAwDn/wEAABIABwADAOj/AQAAEgAHAAMA6f8CAAASAAcAAwDq/wEAABIABwADAOv/AQAAEgAHAAMA7P8BAAASAAcAAwDt/wEAABIABwADAO7/AAAAEgAHAAMA7/8AAAASAAcAAwDw/wAAABIABwADAPH/AAAAEgAHAAMA8v8AAAASAAcAAwDz/wAAABIABwADAPT/AQAAEgAHAAMA9f8BAAASAAcAAwD2/wEAABIABwADAPf/AQAAEgDw/wUA+/8BAAASAO//BQD7/wIAABIA8P8FAPz/AQAAEgDu/wUA+/8CAAASAPD/BQD9/wEAABIA7f8FAPv/AgAAEgDw/wUA/v8BAAASAO3/BQD6/wIAABIA8P8FAP//AQAAEgDw/wUAAAACAAASAPD/BgAAAAIAABIA8P8HAAAAAgAAEgDw/wgAAAACAAASAPH/CAAAAAMAABIA8v8IAAAAAwAAEgDy/wkAAAADAAASAPP/CAAAAAMAABIA8v8KAAAAAwAAEgD0/wgAAAADAAASAPL/CwAAAAMAABIA9f8IAAAAAwAAEgDy/wsAAQADAAASAPb/CAAAAAMAABIA8v8LAAIAAgAAEgDx/wsAAgACAAASAPP/CwACAAIAABIA8P8LAAIAAgAAEgD0/wsAAgACAAASAO//CwACAAIAABIA9f8LAAIAAgAAEgDu/wsAAgACAAASAPb/CwACAAIAABIA7f8LAAIAAgAAEgD3/wsAAgACAAASAOz/CwACAAIAABIA+P8LAAIAAAAAEgDr/wsAAgACAAASAPn/CwACAAMAABIA6v8LAAIAAgAAEgD6/wsAAgADAAASAPv/CwACAAMAABIA/P8LAAIAAwAAEgD9/wsAAgADAAASAP7/CwACAAMAABIA//8LAAIAAwAAEgD0/wUA9P8CAAASAPX/BQD0/wIAABIA9P8FAPX/AgAAEgD2/wUA9P8CAAASAPT/BgD1/wIAABIA9v8EAPT/AgAAEgD0/wcA9f8CAAASAPb/AwD0/wIAABIA9f8HAPX/AgAAEgAFAAMA+f8AAAASAAYAAwD5/wAAABIABgADAPr/AwAAEgAHAAMA+v8DAAASAAgAAwD6/wMAABIACQADAPr/AwAAEgAKAAMA+v8DAAASAAsAAwD6/wMAABIADAADAPr/AwAAEgALAAMA+f8BAAASAA0AAwD6/wMAABIADAADAPn/AwAAEgANAAcA+f8DAAASAA0ACAD5/wAAABIADQAIAPj/AAAAEgANAAgA9/8AAAASAA0ACAD2/wAAABIADQAIAPX/AAAAEgANAAkA9f8BAAASAA0ACgD1/wEAABIADQALAPX/AQAAEgANAAwA9f8BAAASAA0ADQD1/wEAABIADAANAPX/AwAAEgALAA0A9f8DAAASAAoADQD1/wMAABIACQANAPX/AwAAEgAIAA0A9f8DAAASAAcADQD1/wMAABIABgANAPX/AwAAEgAFAA0A9f8DAAASAAQADQD1/wMAABIAAwANAPX/AwAAEgACAA0A9f8DAAASAAEADQD1/wMAABIAAAANAPX/AwAAEgD//w0A9f8DAAASAP7/DQD1/wMAABIA/f8NAPX/AwAAEgD8/w0A9f8DAAASAPv/DQD1/wMAABIA+v8NAPX/AwAAEgD5/w0A9f8DAAASAPj/DQD1/wMAABIA+P8MAPX/AwAAEgD4/wwA9P8DAAASAPf/DAD0/wMAABIA9/8LAPT/AwAAEgD3/woA9P8DAAASAPb/CwD0/wIAABIA9/8JAPT/AwAAEgD1/wsA9P8CAAASAPf/CAD0/wEAABIA9P8LAPT/AgAAEgD3/wgA9f8BAAASAPP/CwD0/wIAABIA9/8IAPb/AQAAEgDz/wsA9f8CAAASAPf/CAD3/wEAABIA9/8IAPj/AQAAEgD3/wgA+f8BAAASAPf/CAD6/wIAABIA+P8IAPr/AgAAEgD5/wgA+v8CAAASAPj/BgD8/wEAABIA+P8GAP3/AQAAEgD4/wYA+/8BAAASAPj/BgD+/wEAABIA+P8GAP//AQAAEgD4/wYAAAADAAASAPj/BwAAAAMAABIA+P8IAAAAAwAAEgD4/wkAAAADAAASAPf/CQAAAAMAAA==