InputRate.4-5.1 = 5 Solution.4-5.1 = AwAAAKsBAAACAAIABAD7/wAAAAIAAgAEAPr/AAAAAgACAAQA+f8AAAACAAIAAwD5/wAAAAIAAgACAPn/AAAAAgADAAIA+f8AAAACAAQAAgD5/wAAAAIABQACAPn/AAAAAgAFAAEA+f8AAAACAAUAAAD5/wAAAAIABQD///n/AAAAAgAFAP7/+f8AAAACAAUA/f/5/wAAAAIABQD9//j/AAAAAgAFAP3/9/8AAAACAAYA/f/3/wAAAAEABwD9//f/AgAAGQAEAP3/+/8DAAAEAAcA/v/3/wAAAAIACAD9//f/AAAAAgAIAP3/+P8AAAAEAAcA/v/4/wAAAAIACAD9//b/AAAAAgAFAP//9/8AAAABAAcA/v/5/wAAAAIACAD9//X/AAAAAgAGAP//9/8AAAACAAUAAAD3/wAAABIACwD9//n/AgAAAgAIAP3/9P8AAAACAAUAAQD3/wAAAAEAAQD9//z/AgAAEgALAP7/+f8AAAACAAkA/f/0/wAAAAIABQACAPf/AAAAAQAAAP3//P8CAAABAAsA/v/6/wAAAAEADQD9//n/AwAAAgAKAP3/9P8AAAACAAUAAwD3/wAAAAIABAD9/wEAAAAABAANAP7/+f8AAAACAA4A/f/5/wAAAAIACgD+//T/AAAAAgALAP3/9P8AAAACAAUABAD3/wAAACcAAQD9////AwAAAgAEAP3/AgAAAAAIAA0A/v/6/wAAAAIADwD9//n/AAAAAgAKAP//9P8AAAACAAwA/f/0/wAAAAIABAAEAPf/AAAAAgACAP3/AQAAAAACAAMA/f8CAAAAAAEADgD+//r/AAAAAgAPAP3/+P8AAAACAAoAAAD0/wAAAAIADQD9//T/AAAAAgAEAAQA+P8AAAACAAIA/f8CAAAAACcABAD9/wQAAAAAAgAPAP3/9/8AAAACAAoAAQD0/wAAAAIADgD9//T/AAAAAgAEAAQA+f8AAAACAAIA/f8DAAAAAAIADwD9//b/AAAAAQAIAP3/AwACAAACAAoAAQD1/wAAAAIADwD9//T/AAAAAgAFAAQA+f8AAAACAAIA/f8EAAAAAAIADwD9//X/AAAAAgAKAAIA9f8AAACVAAYABAD5/wAAAAIABQAEAPr/AAAAAgACAP3/BQAAAAACAAoAAwD1/wAAAJUABgAEAPr/AAAAAgAGAAQA+P8AAAACAAIA/f8GAAAAAAEACwD9/wMAAgAAAgAKAAQA9f8AAAACAAwAAQD0/wAAAAIABgAGAPn/AAAAAgAGAAUA+v8AAAACAAcABAD4/wAAAAIAAgD9/wcAAAAAAgAJAP3/BgAAAAACAAoABQD1/wAAAAIADAAAAPT/AAAAAgAMAAEA9f8AAAACAAcABgD5/wAAAAIABgAGAPr/AAAAAgAIAAQA+P8AAAACAAIA/f8IAAAAAAQACQD+/wYAAQAAAgAJAP3/BwAAAAACAAoABgD1/wAAAAIADAD///T/AAAAAgANAAEA9f8AAAACAA4AAgD1/wAAAAIACAAGAPn/AAAAAgAJAAQA+P8AAAACAAIA/f8JAAAAAAEAEQD///T/AQAACAAJAP7/BQABAAACAAkA/f8IAAAAAAIABQD9/wwAAAAAAgAKAAYA9v8AAAACAA4AAwD1/wAAAAIADAD///X/AAAAAgAOAAEA9f8AAAACAA8AAQD0/wAAAAIACQAGAPn/AAAAAgAKAAQA+P8AAAACAAIA/f8KAAAAAAIABAD9/wwAAAAAEgAPAP////8AAAACAA8AAQD1/wAAAAEAEgD///T/AgAAEgARAP//8/8AAAASAA0A/f8FAAAAAAgACQD//wUAAQAAAgAJAP3/CQAAAAACAAYA/f8MAAAAAAIACgAGAPf/AAAAAgAOAAQA9f8AAAACAA8AAAD0/wAAAAIACgAGAPn/AAAAAgALAAQA+P8AAAACAAIA/f8LAAAAAAIAAwD9/wwAAAAAAQAPAAAA//8AAAABAA4A/////wEAAAEAEgD///P/AAAAEgAQAP//8/8AAAABABEA///y/wAAAAIADgD///H/AAAABAANAP7/BQABAAACAAoA/f8JAAAAAAIABwD9/wwAAAAAAgAKAAYA+P8AAAACAA4ABAD2/wAAAAIADwAAAPP/AAAAAgAOAAEA8f8AAAACAAwABAD4/wAAAAIAAgD9/wwAAAAABAAPAAMA/f8BAAASAA0A/////wAAABIADgD///7/AgAAAQASAP//8v8CAAAEABAAAADz/wMAAAEADgD9/wYAAwAAAgAOAAAA8f8AAAACAA4A///y/wAAAAIADQD//wUAAAAACAAMAP7/BQABAAACAAsA/f8JAAAAAAIABwD+/wwAAAAAAgAOAAQA9/8AAAACABEAAQDz/wAAAAIADwABAPH/AAAAAgANAAQA+P8AAAACAA8ABAD9/wAAAAEADwAAAAEAAgAAEgAMAP////8AAAABAA0A///+/wMAABIAEgAAAPL/AAAAEgAPAP3/BgAAAAACAA4A///z/wAAAAgADAD//wUAAQAAAgANAP//BgAAAAABAA0A//8EAAIAAAIADAD9/wkAAAAAAQALAP3/CgAAAAABAAkA/f8MAAMAAAIABwD//wwAAAAAAgAOAAQA+P8AAACVABIAAQDz/wAAAAIAEQABAPL/AAAAAgAQAAEA8f8AAAACAA8ABQD9/wAAABIADgAAAAEAAAAAAQALAP////8BAAACAA4A///0/wAAAAIADQD//wcAAAAAAgAMAP3/CgAAAAASAAsA/v8KAAAAAAEACwD9/wsAAAAAAQAKAP3/DAADAAABAAkA/f8NAAEAAAIACAD//wwAAAAAAgAOAAUA+P8AAAACABEAAQDx/wAAAAEAEQAJAPr/AQAAAgAPAAYA/f8AAAASAA8AAgABAAMAABIADQAAAAEAAAAAAQAKAP////8BAAASAAsA///+/wIAAAEAEQAJAPj/AQAAIwAPAP7/BQABAAACAA4A///1/wAAAAIADQD//wgAAAAAAgAMAP3/CwAAAAABAAsA/f8MAAMAAAEACgD9/w0AAgAAlQAJAP//DAAAAAACAAgA//8NAAAAAAIACAD//wsAAAAAAgAOAAYA+P8AAAABABEACQD2/wMAAAEAEgAJAPr/AgAAAQARAAkA+f8BAAACAA4ABgD9/wAAAAIADwAEAAAAAAAABAAPAAMAAQABAAASAA4AAgABAAMAAAEADQAAAAAAAgAAAQAPAAAABAACAAASAAoA///+/wIAAAEAEgAJAPj/AAAAAQARAAkA9/8BAAACAA4A///2/wAAAAIADQD//wkAAAAABQAMAP7/CwAAAAABAAwA/f8MAAMAAAEACwD9/w0AAgAAlQAKAP//DAAAAACVAAkA//8NAAAAAAIACQD//wsAAAAAAgAOAAYA+f8AAAABABIACQD2/wAAABIAEwAJAPr/AAAAAQASAAkA+f8AAAACABAACQD9/wAAAAIADgAGAPz/AAAAAgAPAAUAAAAAAAACAA8ABAABAAAAAAQADwADAAIAAAAAJwANAAIAAQAAAAABAAwAAAAAAAIAAAEADgAAAAQAAgAAAgATAAkA+P8AAAABABIACQD3/wAAAAIADgD+//b/AAAAAgANAAAACQAAAAABAA0A/f8MAAAAAAIADAD//wsAAAAAAQAMAP3/DQACAACVAAoA//8NAAAAAAIACgD//wsAAAAAAgAOAAYA+v8AAAABABQACQD6/wEAABIAEwAJAPv/AAAAEgATAAkA+f8AAAACABEACQD9/wAAAAIAEAAJAP7/AAAAAgAPAAgA/v8AAAACAA4ABgD7/wAAAAIADwAGAAAAAAAAAgAOAAMAAgAAAAABAAwAAgABAAIAAJUADQACAAIAAAAAAQANAAIAAAAAAAASAAsAAAAAAAAAAAQAEwAKAPj/AgAAAgAUAAkA+P8AAAACABMACQD3/wAAAAIADQD+//b/AAAAAgANAAEACQAAAAABAA0A/f8NAAIAAAIADAD//wwAAAAAAgAKAAAADQAAAAACABUACQD6/wAAABIAFAAJAPv/AAAAEgAUAAkA+f8AAAACABMACQD8/wAAAAIAEQAKAP3/AAAAAgAPAAkA/v8AAAACAA8ACAD//wAAAAIADwAHAAAAAAAAAgAPAAUAAgAAAAACAA4ABAACAAAAABkACwACAAEAAAAAAgAMAAIAAgAAAACVAAwAAgAAAAAAAAEACgAAAAAAAAAAAgATAAoA9/8AAAACABUACQD4/wAAAAIADAD+//b/AAAAAgANAAEACgAAAAACAAwA//8NAAAAAAIACgABAA0AAAAAAgAKAAEACwAAAAACABUACQD7/wAAAAIAFQAJAPn/AAAAAgAUAAkA/P8AAAAEABMACgD8/wEAAAIAEQALAP3/AAAAAQARAAkA//8AAAACAA8ACAAAAAAAAAEAEAAJAAAAAwAAAgAPAAYAAgAAAAACAA4ABQACAAAAABIACgACAAEAAAAAAQALAAIAAgACAAAEAAwAAQACAAEAAAIAEwALAPf/AAAAAgAMAP7/9/8AAAACAA0AAQALAAAAAAIADQD//w0AAAAAAgAKAAEADAAAAAACAAsAAQALAAAAAAIAFQAJAPz/AAAABAAVAAoA+f8CAAAEABQACgD8/wEAAAEAEwALAPz/AQAAAgARAAwA/f8AAAASABEACgD//wAAAAEAEQAJAAAAAAAAAQAQAAkAAQABAAACAA8ABwACAAAAAAEACQACAAEAAAAAAgASAAsA9/8AAAACAAwA/v/4/wAAAAIADAABAAsAAAAAAgAOAP//DQAAAAAFABMADAD8/wIAAAIAEQAMAPz/AAAAAQARAAkAAQAAAAACAA8ACQABAAAAAAEAEAAJAAIAAQAAAgAPAAgAAgAAAAASAAkAAgAAAAMAAJUAEgALAPb/AAAABAAOAP7/DQACAAACABEADAD7/wAAAAEAEQAJAAIAAAAAAgAPAAoAAQAAAAACAA8ACQACAAAAAAEAEAAJAAMAAQAAEgAJAAEAAAADAAACABEADAD6/wAAAAEAEQAJAAMAAAAAAgAPAAsAAQAAAAASAA8ACQADAAIAAAEAEAAJAAQAAQAAEgAIAAEAAAADAACVABEACwD6/wAAAAIAEgAMAPr/AAAAAQARAAkABAACAAACAA8ADAABAAAAAJUAEAALAAEAAgAABAAPAAoAAwADAAASAAgAAQD//wMAAJUAEgALAPr/AAAAAgATAAwA+v8AAAACABAADAABAAAAAJUAEAALAAIAAgAAAgAPAAoABAAAAAACABMACwD6/wAAAAIAEAAMAAIAAAAAlQARAAsAAgACAAACAA8ACwAEAAAAAAIAEwALAPn/AAAAAgARAAwAAgAAAAACABAADAADAAAAAJUAEQALAAMAAgAAAgAQAAsABAAAAAACABEADAADAAAAAJUAEQALAAQAAgAAAgARAAwABAAAAACVAAoABAD8/wAAAAIAAgAEAPz/AAAABAAIAAAA9v8AAAAEAAgAAAD3/wAAAAgACAAAAPj/AAAACAAIAAEA+P8AAAAIAAgAAgD4/wAAAAQADAAAAPb/AAAABAAMAAAA9/8AAAAIAAwAAAD4/wAAAAgADAABAPj/AAAAEgASAA0A+f8AAAAFABQACwD7/wIAABkAAgD+/wAAAwAABAADAP7/AAACAAAEAAQA/v8AAAIAAJUADgAAAAYAAAAAEgAIAAcA//8DAAASAAkABwD//wAAABIACgAHAP//AAAAEgALAAcA//8AAAAEAAwABwD//wMAAAEADQAHAP//AgAAEgAMAAcA/v8AAAASAAwACAD+/wAAABIACQABAPz/AAAAAQAKAAEA/P8CAAASAAkAAQD9/wIAABIACwABAPz/AgAAEgAJAAEA/v8CAAASAAkAAgD+/wIAABIACgACAP7/AAAAEgALAAMA/f8AAAASAAwAAwD9/wAAABIACwADAP7/AwAAEgAMAAIA/f8CAAABAAwAAgD8/wIAAAgADQAAAPz/AQAAAQAOAAAA/P8CAAASAA4AAAD9/wIAABIADgABAP3/AgAAEgANAAEA/f8CAAASAA0AAQD+/wIAABIADwAAAPn/AgAAIwAPAAIA+/8DAAACAAMABAD8/wAAAAIABAAEAPz/AAAAAgAFAAQA/P8AAAACAAYABAD8/wAAAAIABwAEAPz/AAAAAgAIAAQA/P8AAAACAAkABAD8/wAAAA==