InputRate.3-2.0 = 1
Solution.3-2.0 = AwAAAPAAAAASAOr/BQD7/wIAAIoA6/8GAPr/AAAACADq/wQA+/8BAACKAOr/AwD7/wAAAAEA6/8DAPv/AgAAEgDr/wMA/P8BAAASAOv/AgD8/wAAAAEA6/8DAP3/AQAAEgDr/wEA/P8AAAAjAOv/AQD9/wEAAAIA6/8AAP3/AAAAEgDr/wEA/v8CAAACAOv////9/wAAAAQA6/8BAP//AAAAAgDr/////v8AAAACAOv/AgD//wAAAAIA6///////AAAAAQDr/wMA//8BAAACAOv/AgAAAAAAAAIA6//+////AAAAAQDr/wMAAAABAAACAOv/AgABAAAAABIA6//9////AAAAAQDr/wMAAQABAAACAOv/AgACAAAAABIA6//8////AwAAAgDr/wMAAgAAAACKAOv//P8AAAAAAAUA6/8EAAIAAQAAAQDr//z/AQABAAASAOv/BQACAAAAAAEA6//8/wIAAQAAAQDr/wYAAgABAAARAOv/BQADAAAAAAEA6//8/wMAAQAAAQDr/wYAAwABAAAFAOv//f8DAAAAAAEA6//8/wQAAQAAAQDr/wYABAABAAABAOv//P8FAAEAAAEA6//8/wYAAQAAAQDr//z/BwABAAABAOv//P8IAAEAABIA6//8/wkAAgAAEgDr//3/CQACAAASAOv//v8JAAIAABIA6////wkAAgAAEgDr/wAACQACAAASAOv/AQAJAAIAAAEA6/8CAAkAAQAAEgDr/wIACgABAACKAOv/AgAIAAAAABIA6/8CAAsAAQAAEgDr/wIADAABAAASAOv/AgANAAEAAAEA6/8CAA4AAQAAAQDs/wIADgACAAABAO3/AgAOAAIAAAEA7v8CAA4AAgAAAQDv/wIADgACAAABAPD/AgAOAAIAAAEA8f8CAA4AAgAAAQDy/wIADgACAAABAPP/AgAOAAIAAAEA9P8CAA4AAgAAEgD1/wIADgAAAAASAPX/AwAOAAAAABIA9f8EAA4AAAAAEgD1/wUADgAAAAARAPX/BgAOAAIAAAEA9f8HAA4AAgAAAQD2/wcADgACAAABAPf/BwAOAAIAABIA9/8GAA4AAAAAAQD4/wYADgACAAABAPn/BgAOAAIAAAEA+v8GAA4AAgAAAQD7/wYADgACAAABAPz/BgAOAAIAAIoA+v8DAA4AAAAAEgAAAAYADgAAAAAEAAAABwAOAAIAAAIAAAAIAA4AAAAAAgAAAAkADgAAAAACAAAACgAOAAAAAAIAAAALAA4AAAAAAgAAAAwADgAAAAAEAP//CwAOAAIAAAIA//8MAA4AAAAAAQD+/wsADgADAAACAPz/CQAOAAAAAJUA/v8MAA4AAQAAAgD8/woADgAAAAACAPz/CAAOAAAAAAIA/P8LAA4AAAAABAD7/wgADgACAAACAPz/DAAOAAAAAAIA/P8NAA4AAAAABAD7/wwADgACAAACAPz/DgAOAAAAAAIA/P8PAA4AAAAAAgD8/xAADgAAAAACAPz/EQAOAAAAAAIA/P8SAA4AAAAABAD7/xEADgACAAACAPv/EgAOAAAAAJUA+v8SAA4AAQAAEgD5/xIADgACAAASAPj/EgAOAAIAABIA9/8SAA4AAgAAEgD2/xIADgACAAASAPX/EgAOAAIAABIA9P8SAA4AAgAAEgDz/xIADgACAAASAPL/EgAOAAIAABIA8f8SAA4AAgAAEgDw/xIADgACAAASAO//EgAOAAIAABIA7v8SAA4AAgAAEgDu/xEADgABAAASAO7/EAAOAAEAABIA7v8PAA4AAQAAEgDu/w4ADgABAAASAO7/DQAOAAEAABEA7v8MAA4AAwAAEgDu/wsADgAAAAASAO7/CgAOAAAAABIA7v8JAA4AAgAAEgDu/wgADgACAAASAO7/BwAOAAIAABIA7v8GAA4AAgAAEgDt/wYADgACAAASAOz/BgAOAAIAABIA6/8GAA4AAQAAgwDr/wYADQAAAACDAOv/BgAMAAAAABIA6/8GAAsAAQAAEgDr/wYACgABAAACAOv/BwAKAAAAABIA6/8GAAkAAAAAAgDr/wgACgAAAAAEAOv/BwAJAAEAAAIA6/8JAAoAAAAABADr/wgACQABAAACAOv/CgAKAAAAAAQA6/8JAAkAAQAAAgDr/woACQAAAACVAOv/CgAIAAEAABIA6/8KAAcAAQAAEgDr/woABgABAAASAOv/CgAFAAEAABIA6/8KAAQAAQAAEgDr/woAAwABAAASAOv/CgACAAEAABIA6/8KAAEAAQAAEgDr/woAAAABAAASAOv/CgD//wEAABIA6/8KAP7/AQAAAgDr/woA/f8AAAACAOv/CwD9/wAAAAIA6/8JAP3/AAAAAgDr/w0A/f8AAAACAOv/CAD9/wAAAAIA6/8HAP3/AAAAAgDr/wYA/f8AAACVAOv/BQD9/wAAAAIA6/8MAP3/AAAAAQDw/wQADgACAAABAO//BAAOAAIAABIA8f8EAA4AAAAAAQDu/wQADgACAAASAPH/BQAOAAAAAAEA7f8EAA4AAgAAEQDx/wYADgADAAABAOz/BAAOAAIAABIA8f8HAA4AAAAAAQDr/wQADgABAAASAPH/CAAOAAAAAIMA6/8EAA0AAAAABADx/wkADgADAACDAOv/BAAMAAAAAAIA8f8KAA4AAAAAAQDy/wkADgACAAASAOv/BAALAAEAAAEA8f8LAA4AAgAAlQDy/woADgABAAASAOv/BAAKAAEAAAEA8v8LAA4AAgAAAQDr/wQACQABAAABAPP/CwAOAAIAAAEA9P8LAA4AAgAAAQD1/wsADgACAAABAPb/CwAOAAIAAAEA9/8LAA4AAgAAEQDy/w0ADgACAAASAPP/DQAOAAEAABEA8/8OAA4AAgAABAD0/w0ADgADAAASAPP/DwAOAAEAAAIA9P8OAA4AAAAAAQD1/w0ADgACAAABAPP/EAAOAAIAAJUA9f8OAA4AAQAAAQD0/xAADgACAAABAPX/EAAOAAIAAAEA9v8QAA4AAgAAAQD3/xAADgACAAAEAOv//v8BAAAAAAIA6////wEAAAAAAQDr//7/AgAAAAABAOv/AAABAAAAAJUA6////wIAAAAAAQDr/wAAAgAAAAABAOv/AAADAAAAAAEA6/8AAAQAAAAAAQDr/wAABQAAAAABAOv/AAAGAAAAAAEA6/8AAAcAAAAAEgDr/w0A+v8BAAASAOv/DQD7/wEAABIA6/8MAPv/AQAAEgDr/wsA+/8BAAASAOv/CgD7/wEAABIA6/8JAPv/AQAAEgDr/wgA+/8BAAAIAOv/BwD7/wEAAAQA6/8NAPj/AAAAAgDr/w4A+P8AAAAEAOv/DgD3/wAAAAIA6/8PAPf/AAAAAgDr/xAA9/8AAAACAOv/EAD4/wAAAAIA6/8QAPn/AAAAAgDr/xAA+v8AAAACAOv/EAD7/wAAAAIA6/8QAPz/AAAAAgDr/xAA/f8AAACVAOv/DgD5/wMAABIA6/8EAP//AQAAEgDr/wQA/v8BAAA=