The code takes an input list [a(0), a(1), ..., a(n)]...

December 8, 2023 at 01:54 AM

transform([a(0), a(1), …, a(n)]) s = a(0) k = 1 while (k <= n) s = 5*s + a(k) k = k + 1 k = 0 while (s > 0) b(k) = s mod 7 s = floor(s/7) k = k + 1 return [b(0), b(1), …, b(k-1)] Trace transform([3, 1, 4, 0])

The code takes an input list [a(0), a(1), ..., a(n)] and performs the following operations:

  1. Initialize a variable s with the value of a(0).
  2. Initialize a variable k with 1.
  3. Enter a while loop that continues as long as k is less than or equal to n.
  4. Inside the loop, update the value of s by multiplying it by 5 and adding the value of a(k).
  5. Increment the value of k by 1.
  6. After exiting the first while loop, reset the value of k to 0.
  7. Enter a second while loop that continues as long as s is greater than 0.
  8. Inside the loop, compute the remainder of s divided by 7 and assign it to b(k).
  9. Update the value of s by dividing it by 7 and taking the floor.
  10. Increment the value of k by 1.
  11. Finally, return the list [b(0), b(1), ..., b(k-1)].

For example, if the input is [3, 1, 4, 0], the output will be [0, 0, 2, 1].

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