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Task/Hailstone-sequence/Scheme/hailstone-sequence.ss
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28
Task/Hailstone-sequence/Scheme/hailstone-sequence.ss
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(define (collatz n)
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(if (= n 1) '(1)
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(cons n (collatz (if (even? n) (/ n 2) (+ 1 (* 3 n)))))))
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(define (collatz-length n)
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(let aux ((n n) (r 1)) (if (= n 1) r
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(aux (if (even? n) (/ n 2) (+ 1 (* 3 n))) (+ r 1)))))
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(define (collatz-max a b)
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(let aux ((i a) (j 0) (k 0))
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(if (> i b) (list j k)
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(let ((h (collatz-length i)))
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(if (> h k) (aux (+ i 1) i h) (aux (+ i 1) j k))))))
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(collatz 27)
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; (27 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182
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; 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395
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; 1186 593 1780 890 445 1336 668 334 167 502 251 754 377 1132 566 283
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; 850 425 1276 638 319 958 479 1438 719 2158 1079 3238 1619 4858 2429
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; 7288 3644 1822 911 2734 1367 4102 2051 6154 3077 9232 4616 2308 1154
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; 577 1732 866 433 1300 650 325 976 488 244 122 61 184 92 46 23 70 35
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; 106 53 160 80 40 20 10 5 16 8 4 2 1)
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(collatz-length 27)
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; 112
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(collatz-max 1 100000)
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; (77031 351)
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