solve 7. Reverse Integer in racket
(Ignore the 32bit digit constraint)
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#+title: 7 Reverse Integer
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* Subject
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Given a signed 32-bit integer x, return x with its digits reversed. If reversing x causes the value to go outside the signed 32-bit integer range \([-2^{31}, 2^{31} - 1]\), then return 0.
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Assume the environment does not allow you to store 64-bit integers (signed or unsigned).
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** Example 1:
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Input: x = 123
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Output: 321
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** Example 2:
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Input: x = -123
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Output: -321
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** Example 3:
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Input: x = 120
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Output: 21
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** Constraints:
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-231 <= x <= 231 - 1
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* Solution
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#+name: lang
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#+begin_src racket
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#lang racket
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#+end_src
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#+RESULTS: lang
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#+begin_src racket
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#lang racket/base
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(for/list ([i (in-naturals)]
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#:break (> i 10))
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i)
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#+end_src
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#+RESULTS:
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| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
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#+name: ten-power-below
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#+begin_src racket
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(define/contract (ten-power-below x)
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(-> exact-integer? exact-integer?)
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(let ((power-of-ten 1))
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(for/list ([exponent (in-naturals)])
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#:break (> power-of-ten x)
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(set! power-of-ten (* 10 power-of-ten)))
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(/ power-of-ten 10)))
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#+end_src
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#+RESULTS: ten-power-below
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#+begin_src racket :noweb yes
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#lang racket
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<<ten-power-below>>
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(ten-power-below 11)
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#+end_src
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#+RESULTS:
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: 10
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#+begin_src racket :noweb yes
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#lang racket
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<<ten-power-below>>
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(ten-power-below 100)
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#+end_src
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#+RESULTS:
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: 100
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#+begin_src racket :noweb yes
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#lang racket
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<<ten-power-below>>
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(ten-power-below 1111)
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#+end_src
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#+RESULTS:
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: 1000
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#+begin_src racket :noweb yes
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<<ten-power-below>>
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(for/list ([i (list 1 100 271091029 (- 123001))])
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(ten-power-below i))
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#+end_src
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#+RESULTS:
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| 1 | 100 | 1000000000 | 1 |
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#+name: reverse
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#+begin_src racket :noweb yes
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<<ten-power-below>>
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(define/contract (reverse x)
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(-> exact-integer? exact-integer?)
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(cond ((= x 0) 0)
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((< x 0) (- (reverse (- x))))
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(#t (let* ((remains x)
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(previous remains)
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(number 0)
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(power-of-ten (ten-power-below x))
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(current-number-power-of-ten 1)
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(digit 0))
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(for/list ([i (in-naturals)]
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#:break (< power-of-ten 1))
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(set! previous remains)
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(set! remains (modulo remains power-of-ten))
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(set! digit (/ (- previous remains) power-of-ten))
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(set! number (+ number (* digit current-number-power-of-ten)))
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(set! power-of-ten (/ power-of-ten 10))
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(set! current-number-power-of-ten (* current-number-power-of-ten 10))
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)
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number))))
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#+end_src
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#+RESULTS: reverse
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse 123)
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#+end_src
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#+RESULTS:
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: 321
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse 21)
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#+end_src
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#+RESULTS:
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: 12
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse -1)
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#+end_src
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#+RESULTS:
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: -1
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse -124)
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#+end_src
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#+RESULTS:
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: -421
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse 123456789012345678901234567890)
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#+end_src
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#+RESULTS:
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: 98765432109876543210987654321
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#+begin_src racket :noweb yes
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#lang racket
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<<reverse>>
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(reverse 10)
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#+end_src
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#+RESULTS:
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: 1
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* Reference
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https://leetcode.com/problems/reverse-integer/
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