InputRate.1-4.0 = 1 Solution.1-4.0 = AwAAABUBAAABAAMA/v8EAAMAAAEABAD+/wMAAAAAAQACAP7/BAADAAABAAMA/v8DAAMAAAEAAQD+/wQAAwAAAQACAP7/AwADAAABAAEA/v8DAAMAAAIA/f/+/wQAAAAABQD9////BAACAAABAPz//v8EAAEAAAIA/f/+/wUAAAAAAgD9//7/AwAAAAACAP7///8EAAAAAAUA/f///wMAAgAAAQD8//7/BQABAAABAPz//v8DAAEAAAIA/f/+/wYAAAAAAgD9//7/AgAAAAACAP7/AAAEAAAAAAIA/v///wMAAAAABQD9////AgACAAABAPv//v8FAAMAAAIA/P/+/wYAAAAAAQD8//7/AgABAAACAP3//v8BAAAAAAIA/v8BAAQAAAAAAgD9/wAAAgAAAAAFAP3///8BAAIAAAEA+v/+/wUAAwAAAgD7//7/BgAAAAAFAPv///8DAAMAAAEA/P/+/wEAAQAAAQD5//7/BAAAAAACAP7/AgAEAAAAAAIA/f8AAAEAAAAAAQD5//7/BQADAAACAPr//v8GAAAAAAIA+/8AAAMAAAAAAQD8//7/AAABAAACAPj//v8EAAAAAAEA+f/+/wMAAAAAAgD+/wMABAAAAAAIAP7/AgADAAMAAAIA/f8BAAEAAAAAAgD4//7/BQAAAAACAPn//v8GAAAAAAUA+v///wYAAQAAAgD6/wAAAwAAAAACAPz/AAADAAAAABIA/P/+////AgAABQD4////BAADAAACAPj//v8DAAAAAAEA+f/+/wIAAAAAIwD+/wQABAADAAAIAP7/AwADAAMAAAIA/f8CAAEAAAAABQD4////BQADAAACAPj//v8GAAAAAAIA+v8AAAYAAAAAAgD8/wAABAAAAAABAPz//v/+/wIAAAUA+P///wMAAwAAAgD4//7/AgAAAAABAPn//v8BAAAAABIA/v8EAAUAAgAAIwD+/wQAAwADAAACAP3/AwABAAAAAAgA/v8CAAEAAwAAAgD4/wAABQAAAAACAPn/AAAGAAAAAAIA/P8AAAUAAAAAAQD7//7//v8CAAACAPz//v/9/wAAAAIA+P/+/wEAAAAAAQD5//7/AAAAAAACAAIABAD//wAAABIA//8EAAUAAgAAAgD9/wQAAwAAAAASAP7/BAACAAIAAAIA/f8EAAEAAAAACAD+/wMAAQADAAACAPj/AQAFAAAAAAIA+P8AAAYAAAAAAgD8/wAABgAAAAABAPr//v/+/wIAAAIA+//+//3/AAAAAgD8/////f8AAAACAPj//v8AAAAAAAEA+f/+////AAAAAgABAAQA//8AAAACAAIABAAAAAAAABIA//8FAAUAAgAAAgD9/wQAAgAAAAABAP//BAACAAAAACMA/v8EAAEAAwAAAgD9/wQAAAAAAAACAPj/AgAFAAAAAAIA/P8AAAcAAAAAAQD5//7//v8AAAACAPr//v/9/wAAAAIA/P8AAP3/AAAAAgD4//7///8AAAACAAAABAD//wAAAAgAAQAEAAAAAgAAAgACAAQAAQAAAAACAP3/BAD//wAAAAIA+P8DAAUAAAAAAgD8/wAACAAAAAACAPj//v/+/wAAAAIA+f/+//3/AAAABQD6/////f8AAAACAPz/AQD9/wAAAAIA//8EAP//AAAAIwABAAUAAAACAAAIAAEAAwAAAAIAACMAAQAEAAEAAgAAAgACAAQAAgAAAAACAPz/BAD//wAAAAIA/v8EAP//AAAAAgD4/wQABQAAAAACAPz///8IAAAAAAIA+P/+//3/AAAABQD5/////f8AAAACAPz/AgD9/wAAAAEA//8EAAAAAAAAAgABAAYAAAAAAAAjAAEABQABAAIAAAgAAQADAAEAAgAACAABAAQAAgACAAACAAIABAADAAAAAAIA+/8EAP//AAAAAgD4/wQABAAAAAACAPz//v8IAAAAAAIA/P8DAP3/AAAAAgABAAgA//8AAAACAAEABgABAAAAACMAAQAFAAIAAgAACAABAAMAAgACAAAjAAEABAADAAIAAAIA+v8EAP//AAAAAgD8/wQA/f8AAAACAPj/BAADAAAAAAQA/f/+/wgAAwAAAgAAAAgA//8AAAACAAEABgACAAAAACMAAQAFAAMAAgAACAABAAMAAwACAAAIAAEABAAEAAIAAAIA+f8EAP//AAAAAgD8/wUA/f8AAAACAPj/BAACAAAAACcA/v/+/wgAAAAAAgD//wgA//8AAAACAAEABgADAAAAACMAAQAFAAQAAgAACAABAAMABAACAAACAAMADAD//wAAAAIA+P8EAP//AAAAAgD8/wYA/f8AAAACAPj/BAABAAAAABkA///+/wgAAAAAAgD+/wgA//8AAAACAAEABgAEAAAAAAIAAwANAP//AAAAAgADAAwAAAAAAAACAPj/BAAAAAAAAAIA/P8IAP7/AAAAAgD9/wgA//8AAAACAPz/BwD9/wAAABIA/////wgAAwAAAgADAA4A//8AAAACAAIADAAAAAAAAAIAAwAMAAEAAAAAAgD8/wgA//8AAAACAPz/CAD9/wAAABIA//8AAAgAAAAAIwABAAwAAAACAAACAAMADwD//wAAAAIAAwAMAAIAAAAAEgAAAAAACAAAAAACAAEADQAAAAAAACMAAQAMAAEAAgAAAgADABAA//8AAAACAAIADAACAAAAAAIAAwAMAAMAAAAAEgABAAAACAABAAACAAEADwD//wAAAAIAAQAOAAAAAAAAAgABAA0AAQAAAAAjAAEADAACAAIAAAIAAwARAP//AAAAAgADAAwABAAAAAASAAEAAAAHAAEAAAIAAQAPAAAAAAAAAgABAA0AAgAAAAAjAAEADAADAAIAAAIAAgASAP7/AAAAAgADABIA//8AAAACAAIADAAEAAAAABIAAQAAAAYAAQAAAgABABIA/v8AAAACAAEADQADAAAAACMAAQAMAAQAAgAABQACABMA/v8BAAABAAIAEgD9/wIAAAIAAwATAP//AAAAEQABAAAABQABAAAFAAEAEwD+/wEAAAIAAQASAP//AAAAAQABABIA/f8CAAACAAEADQAEAAAAAAEAAgASAPz/AAAAAgADABQA//8AAAASAAIAAAAFAAEAAAUAAAATAP7/AQAAAgAAABIA//8AAAABAAAAEgD9/wIAABIAAQANAAUAAgAAAQACABIA+/8AAAACAAIAFAD//wAAABEAAwAAAAUAAQAAAQD//xIA/f8CAAACAAAAFAD+/wAAAAIA//8SAP//AAAAEgAAAA0ABQACAAABAAIAEgD6/wAAAAIAAQAUAP//AAAAAgD9/xIA/v8AAAABAP7/EgD9/wEAAAIAAAAUAP//AAAAAgAAABQA/f8AAAACAP7/EgD//wAAAAEAAgASAPn/AAAAAgD9/xIA//8AAAACAP3/EgD9/wAAAAEA/v8SAPz/AQAAAgAAABQA/P8AAAABAAIAEgD4/wAAAAIA/f8SAPz/AAAAAQD+/xIA+/8BAAACAAAAFAD7/wAAAAEAAgASAPf/AAAAAgD9/xIA+/8AAAABAP7/EgD6/wEAAAIAAAAUAPr/AAAAAQABABIA9/8DAAASAAIAEwD3/wAAAAUA/f8TAPv/AwAAAgD9/xIA+v8AAAABAP7/EgD5/wEAAAIAAAAUAPn/AAAAEgAAABIA9/8BAAAFAP3/EwD6/wMAAAEA/v8SAPj/AQAAAQD//xIA9/8DAAACAP//FAD5/wAAAAUA/f8TAPn/AwAAAQD+/xIA9/8DAAASAP//EwD3/wEAAAIA/v8UAPn/AAAAAgD9/xQA+f8AAAAZAAAA//8EAAAAAAEAAAD//wUAAwAABAAAAP//BgABAAAFAAAA//8HAAAAABIA/P8AAAAAAgAAEgD8/wIAAAACAAACAPr/AAACAAAAAAIA+v8AAAEAAAAAAgD6/wAAAAAAAAACAPr/AAD//wAAAAIA+v8AAP3/AAAAAgD6/wAA/v8AAAACAAEAEAD//wAAAAIAAQARAP//AAAAAgABAAcAAAAAAAACAAEACAAAAAAAAA==