racket solutions for problems 6 7 and 8
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4
6/euler6.rkt
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6/euler6.rkt
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#lang racket
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(- (* (apply + (range 1 101)) (apply + (range 1 101)))
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(foldl + 0 (map (λ (x) (* x x)) (range 1 101))))
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12
7/euler7.rkt
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7/euler7.rkt
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#lang racket
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(require math/number-theory)
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(define (nth-prime it n primes)
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(if (equal? n (length primes))
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(car primes)
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(if (prime? it)
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(nth-prime (+ it 2) n (cons it primes))
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(nth-prime (+ it 2) n primes))))
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(nth-prime 3 10001 (list 2))
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8/euler8.rkt
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8/euler8.rkt
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#lang racket
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(define num
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(map (λ (x) (- (char->integer x) 48))
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(string->list
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(string-replace
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"73167176531330624919225119674426574742355349194934
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96983520312774506326239578318016984801869478851843
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85861560789112949495459501737958331952853208805511
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12540698747158523863050715693290963295227443043557
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66896648950445244523161731856403098711121722383113
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62229893423380308135336276614282806444486645238749
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30358907296290491560440772390713810515859307960866
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70172427121883998797908792274921901699720888093776
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65727333001053367881220235421809751254540594752243
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52584907711670556013604839586446706324415722155397
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53697817977846174064955149290862569321978468622482
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83972241375657056057490261407972968652414535100474
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82166370484403199890008895243450658541227588666881
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16427171479924442928230863465674813919123162824586
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17866458359124566529476545682848912883142607690042
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24219022671055626321111109370544217506941658960408
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07198403850962455444362981230987879927244284909188
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84580156166097919133875499200524063689912560717606
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05886116467109405077541002256983155200055935729725
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71636269561882670428252483600823257530420752963450" "\n" ""))))
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(define pivot 0)
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(define (find-max-product n)
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(if (< (length n) 13)
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pivot
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(if (> (apply * (take n 13)) pivot)
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(begin
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(set! pivot (apply * (take n 13)))
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(find-max-product (cdr n)))
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(find-max-product (cdr n)))))
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(find-max-product num)
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