InputRate.10-5.0 = 8
Solution.10-5.0 = AwAAAJgAAAASAAgACgDf/wAAABIACAAJAN//AAAAEgAIAAkA3f8BAAASAAgACgDd/wEAABIACAAJANz/AAAAEgAHAAkA3P8CAAASAAkACQDc/wIAABIACAALAN3/AQAAAQAIAAoA3P8DAAASAAYACQDc/wIAABIABwAKANz/AgAAEgAKAAkA3P8CAACKAAkACgDc/wAAAAQACAAMAN3/AQAAEgAHAAsA3f8BAAASAAUACQDc/wIAAAEABgAKANz/AwAAEgAKAAoA3P8CAAASAAQACQDc/wIAABIAAwAJANz/AgAAEgACAAkA3P8CAAASAAIACgDc/wIAABIABAAJANn/AgAAEgAEAAoA2f8CAAASAAQACwDZ/wIAABIACgAOAOD/AAAAEgAEAAwA2f8CAAASAAoADgDh/wAAABIACgAOAN//AAAAEgAKAA4A3f8AAAASAAMACQDW/wEAABIABAANANn/AgAAEgAKAA4A4v8DAAASAAoADgDe/wAAAAEACgAOANz/AwAAEgD7/wkA4f8AAAASAAMADQDZ/wIAAAEABAANANr/AAAAEgAKAA8A4v8DAACKAPv/CgDh/wAAABIAAgANANn/AgAAJwAEAA0A2/8AAAAAAAoAEADc/wAAABIAAQANANn/AgAAEgACAA0A2v8CAAABAAUADQDb/wAAABIACQAQANz/AAAAEgAAAA0A2f8CAAASAAIADgDa/wIAABIABAAMANb/AQAAEgAIABAA3P8AAAASAP//DQDZ/wIAAAEABAANANb/AAAAAAAHABAA3P8DAAASAP7/DQDZ/wEAABIAAgANANb/AAAAAQD9/w0A2f8DAAASAP7/DQDa/wIAABIABAAPANb/AgAAEgD9/w0A2v8CAAASAP3/DQDY/wAAABIA/v8NANv/AgAAEgAEAA8A1/8CAAABAP3/DQDb/wEAABIA/f8NANf/AAAAAQD+/w0A3P8CAACDAAQADwDY/wAAABIA/f8NANz/AgAAEgD9/w0A1v8AAACDAAQADwDZ/wAAAAEA+/8NANb/AAAAEgD7/w0A1/8AAAASAPX/DgDh/wMAABIA+/8NANj/AAAAEgD2/w4A4f8DAAASAPv/DQDZ/wAAABIA9f8QAOH/AwAAEgD3/w4A4f8DAAASAPv/DQDa/wAAABIA9v8QAOH/AwAAEgD4/w4A4f8DAAASAPv/DQDb/wAAABIA9/8QAOH/AwAAEgD5/w4A4f8DAAASAPv/DQDc/wAAABIA+P8QAOH/AwAAEgD6/w4A4f8DAAASAPv/DQDd/wAAABIA+f8QAOH/AwAAEgD6/w0A4f8CAAASAPv/DQDe/wIAABIA+v8QAOH/AwAAEgD7/w0A4f8CAAASAPv/DQDf/wIAABIA+/8QAOH/AwAAEgD7/w0A4P8CAAASAAgACwDf/wAAABIABwALAN//AAAABAAIAAwA3/8AAAASAAgADADg/wIAABIACAANAOD/AgAAAQAIAA4A4P8DAAASAPv/EQDg/wAAABIA+/8RAN//AAAAEgD6/xEA3/8BAAASAPr/EADf/wEAABIA+v8RAN7/AAAAEgD6/xEA3f8AAAASAPr/EADd/wEAABIA+v8RANz/AAAAEgD6/xEA2/8AAAASAPr/EADb/wAAABIA+v8RANr/AAAAEgD7/xEA2v8BAAASAPr/EQDZ/wAAABIA/P8RANr/AQAAEgD6/xAA2f8AAAASAPr/EQDY/wAAABIA/f8RANr/AQAAEgD6/xEA1/8BAAASAP3/EADa/wEAABIA/v8RANr/AgAAEgD6/xAA1/8BAAASAP3/EADb/wEAABIA//8RANr/AgAAEgAAABEA2v8CAAASAAEAEQDa/wIAABIAAQARANn/AwAAEgABABEA2P8DAAASAAEAEQDX/wAAABIAAQAQANf/AAAAEgAFABAA3f8CAAASAAQAEQDd/wIAABIABAAQAN3/AgAAEgAEABEA3P8DAAAEAAMAEADd/wMAABIAAwARANz/AwAADwADAA8A3f8BBQASAAIAEQDc/wMAABIAAgAQANz/AwAAEgACAA8A3P8AAAASAAIADgDc/wAAABIAAgANANz/AAAAEgACAAwA3P8AAAASAAYAEADd/wIAABIABgAQAN7/AgAAEgAGAA8A3v8CAAASAAcADwDe/wIAABIABwAOAN7/AgAADwAHAA8A3/8BBgAPAAcADwDd/wAFABIABwANAN7/AgAA