LOOKUP = {"000000" => 10.0, "000001" => 9.9, "000010" => 9.8, "000011" => 9.5, "000020" => 9.5, "000021" => 9.2, "000100" => 10.0, "000101" => 9.6, "000110" => 9.3, "000111" => 8.7, "000120" => 9.1, "000121" => 8.1, "000200" => 9.3, "000201" => 9.0, "000210" => 8.9, "000211" => 8.0, "000220" => 8.1, "000221" => 6.8, "001000" => 9.8, "001001" => 9.5, "001010" => 9.5, "001011" => 9.2, "001020" => 9.0, "001021" => 8.4, "001100" => 9.3, "001101" => 9.2, "001110" => 8.9, "001111" => 8.1, "001120" => 8.1, "001121" => 6.5, "001200" => 8.8, "001201" => 8.0, "001210" => 7.8, "001211" => 7.0, "001220" => 6.9, "001221" => 4.8, "002001" => 9.2, "002011" => 8.2, "002021" => 7.2, "002101" => 7.9, "002111" => 6.9, "002121" => 5.0, "002201" => 6.9, "002211" => 5.5, "002221" => 2.7, "010000" => 9.9, "010001" => 9.7, "010010" => 9.5, "010011" => 9.2, "010020" => 9.2, "010021" => 8.5, "010100" => 9.5, "010101" => 9.1, "010110" => 9.0, "010111" => 8.3, "010120" => 8.4, "010121" => 7.1, "010200" => 9.2, "010201" => 8.1, "010210" => 8.2, "010211" => 7.1, "010220" => 7.2, "010221" => 5.3, "011000" => 9.5, "011001" => 9.3, "011010" => 9.2, "011011" => 8.5, "011020" => 8.5, "011021" => 7.3, "011100" => 9.2, "011101" => 8.2, "011110" => 8.0, "011111" => 7.2, "011120" => 7.0, "011121" => 5.9, "011200" => 8.4, "011201" => 7.0, "011210" => 7.1, "011211" => 5.2, "011220" => 5.0, "011221" => 3.0, "012001" => 8.6, "012011" => 7.5, "012021" => 5.2, "012101" => 7.1, "012111" => 5.2, "012121" => 2.9, "012201" => 6.3, "012211" => 2.9, "012221" => 1.7, "100000" => 9.8, "100001" => 9.5, "100010" => 9.4, "100011" => 8.7, "100020" => 9.1, "100021" => 8.1, "100100" => 9.4, "100101" => 8.9, "100110" => 8.6, "100111" => 7.4, "100120" => 7.7, "100121" => 6.4, "100200" => 8.7, "100201" => 7.5, "100210" => 7.4, "100211" => 6.3, "100220" => 6.3, "100221" => 4.9, "101000" => 9.4, "101001" => 8.9, "101010" => 8.8, "101011" => 7.7, "101020" => 7.6, "101021" => 6.7, "101100" => 8.6, "101101" => 7.6, "101110" => 7.4, "101111" => 5.8, "101120" => 5.9, "101121" => 5.0, "101200" => 7.2, "101201" => 5.7, "101210" => 5.7, "101211" => 5.2, "101220" => 5.2, "101221" => 2.5, "102001" => 8.3, "102011" => 7.0, "102021" => 5.4, "102101" => 6.5, "102111" => 5.8, "102121" => 2.6, "102201" => 5.3, "102211" => 2.1, "102221" => 1.3, "110000" => 9.5, "110001" => 9.0, "110010" => 8.8, "110011" => 7.6, "110020" => 7.6, "110021" => 7.0, "110100" => 9.0, "110101" => 7.7, "110110" => 7.5, "110111" => 6.2, "110120" => 6.1, "110121" => 5.3, "110200" => 7.7, "110201" => 6.6, "110210" => 6.8, "110211" => 5.9, "110220" => 5.2, "110221" => 3.0, "111000" => 8.9, "111001" => 7.8, "111010" => 7.6, "111011" => 6.7, "111020" => 6.2, "111021" => 5.8, "111100" => 7.4, "111101" => 5.9, "111110" => 5.7, "111111" => 5.7, "111120" => 4.7, "111121" => 2.3, "111200" => 6.1, "111201" => 5.2, "111210" => 5.7, "111211" => 2.9, "111220" => 2.4, "111221" => 1.6, "112001" => 7.1, "112011" => 5.9, "112021" => 3.0, "112101" => 5.8, "112111" => 2.6, "112121" => 1.5, "112201" => 2.3, "112211" => 1.3, "112221" => 0.6, "200000" => 9.3, "200001" => 8.7, "200010" => 8.6, "200011" => 7.2, "200020" => 7.5, "200021" => 5.8, "200100" => 8.6, "200101" => 7.4, "200110" => 7.4, "200111" => 6.1, "200120" => 5.6, "200121" => 3.4, "200200" => 7.0, "200201" => 5.4, "200210" => 5.2, "200211" => 4.0, "200220" => 4.0, "200221" => 2.2, "201000" => 8.5, "201001" => 7.5, "201010" => 7.4, "201011" => 5.5, "201020" => 6.2, "201021" => 5.1, "201100" => 7.2, "201101" => 5.7, "201110" => 5.5, "201111" => 4.1, "201120" => 4.6, "201121" => 1.9, "201200" => 5.3, "201201" => 3.6, "201210" => 3.4, "201211" => 1.9, "201220" => 1.9, "201221" => 0.8, "202001" => 6.4, "202011" => 5.1, "202021" => 2.0, "202101" => 4.7, "202111" => 2.1, "202121" => 1.1, "202201" => 2.4, "202211" => 0.9, "202221" => 0.4, "210000" => 8.8, "210001" => 7.5, "210010" => 7.3, "210011" => 5.3, "210020" => 6.0, "210021" => 5.0, "210100" => 7.3, "210101" => 5.5, "210110" => 5.9, "210111" => 4.0, "210120" => 4.1, "210121" => 2.0, "210200" => 5.4, "210201" => 4.3, "210210" => 4.5, "210211" => 2.2, "210220" => 2.0, "210221" => 1.1, "211000" => 7.5, "211001" => 5.5, "211010" => 5.8, "211011" => 4.5, "211020" => 4.0, "211021" => 2.1, "211100" => 6.1, "211101" => 5.1, "211110" => 4.8, "211111" => 1.8, "211120" => 2.0, "211121" => 0.9, "211200" => 4.6, "211201" => 1.8, "211210" => 1.7, "211211" => 0.7, "211220" => 0.8, "211221" => 0.2, "212001" => 5.3, "212011" => 2.4, "212021" => 1.4, "212101" => 2.4, "212111" => 1.2, "212121" => 0.5, "212201" => 1.0, "212211" => 0.3, "212221" => 0.1} of
String =>
Float64