Define a predicate same-digits? (a b) which returns #t if the integers a and b contain the same digits. If a digit occurs n times in a, it must also occur n times in b. For example, (same-digits? 133042 420313) → #t, but (same-digits? 133042 42013) → #f.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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  1. Define a predicate same-digits? (a b) which returns #t if the integers a and b contain the same digits. If a digit occurs n times in a, it must also occur n times in b. For example, (same-digits? 133042 420313) → #t, but (same-digits? 133042 42013) → #f.

     

To solve the problem, one technique would be to add some extra procedures for manipulating digits inside a number. Here are some hints:

  • To find the number of digits in a number, count how many times you need to divide it by 10 until you reach 0.
  • To extract the second digit of 5784: floor( 5784/102 ) mod 10=7. Note that mod in racket is modulo or remainder
  • To assemble the digits 3, 4, and 5 into a number: 3×102+4×101+5×10= 345

The standard Scheme procedures modulo and floor may prove useful. The solution only needs to consider non-negative integers.

Or..... you could "cheat" and convert each number to a list, sort, and check for equality.

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Expert Solution
Step 1

Given:-

# source_code

       # lang racket/base

      # lang racket/base

           (define(reverse_digit n)

            (define(loop n reserved_Num)

             (if (<=n 0 )

                  reversed_ Num

                    (let((lastDigit(modulo n  10)))

                 (loop(/(-n lastDigit)10)(+(*reversed_Num 10)lastDigit)))))

            (loop n 0)   

                (reserve_digit 397164)

           

 

Output:

              461793


    
 

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