1950 2.078353 0.481150 1.7034% 1949 2.937411 0.340436 -0.4250% 1948 0.739829 1.351664 6.7886% 1947 2.728513 0.366500 13.9149% 1946 0.092472 10.814135 22.7896% 1945 1.060414 0.943028 3.2661% 1944 0.095967 10.420237 1.3234% 1943 0.592165 1.688718 2.7232% 1942 0.369340 2.707533 -2.0001% 1925 1.898737 0.526666 0.6731% 1924 0.122833 8.141166 2.0549% 1923 0.091574 10.920161 -0.6823% 1927 0.973490 1.027232 0.0000% 1926 1.860761 0.537414 -2.0001% 1925 0.428573 2.333322 0.6731% 1924 2.013434 0.496664 2.0549% 1923 2.179154 0.458894 0.0000% 1928 1.000000 1.000000 3.3098% 1955 0.852673 1.172782 3.4226% 1954 0.697607 1.433471 1.5421% 1953 0.616672 1.621607 1.5703% 1952 0.472224 2.117640 1.5948% 1951 3.438405 0.290833 5.0183% 1950 0.766033 1.305427 1.7034% 1949 3.175631 0.314898 -0.4250% 1948 3.189185 0.313560 6.7886% 1947 3.027479 0.330308 13.9149% 1946 0.772936 1.293768 22.7896% 1945 1.144930 0.873416 3.2661% 1944 0.062338 16.041473 -13.0688% 1919 0.074578 13.408701 15.7925% 1918 1.245874 0.802649 14.2845% 1917 1.156552 0.864639 16.6637% 1916 1.461633 0.684166 20.0069% 1915 0.366775
simplifying