Fibonacci numbers in the analysis of Euclid's GCD algorithm Hn in the analysis of FIND-MAX Stanford Lecture by Knuth "People who analyze algorithms have double happiness. First of all they experience the sheer beauty of elegant math- ematical patterns that surround elegant computational pro- cedures. 4口¥0,43,t夏,里Q0 Hengfeng Wei (hfweiinju.cdu.cn2-2 The Efficiency of Algorithms March05,20205/43. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fibonacci numbers in the analysis of Euclid’s gcd algorithm Hn in the analysis of find-max @ Stanford Lecture by Knuth “People who analyze algorithms have double happiness. First of all they experience the sheer beauty of elegant mathematical patterns that surround elegant computational procedures. Then they receive a practical payoff when their theories make it possible to get other jobs done more quickly and more economically.” Hengfeng Wei (hfwei@nju.edu.cn) 2-2 The Efficiency of Algorithms March 05, 2020 5 / 43