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Pseudo Code

Lesson 4 of 9 in Coddy's Radix Sort - DSA Series course.

countingSortByDigit(array, exp):
   n = length(array)
   output = array of size n
   count = array of 10 zeros
   for each x in array:                 # tally each digit
      count[(x / exp) % 10] += 1
   for d from 1 to 9:                   # running totals -> positions
      count[d] += count[d - 1]
   for k from n-1 down to 0:            # place from the back (stable)
      d = (array[k] / exp) % 10
      count[d] -= 1
      output[count[d]] = array[k]
   return output

radixSort(array):
   max = largest value in array
   exp = 1
   while max / exp > 0:
      array = countingSortByDigit(array, exp)
      exp = exp * 10
  • exp is the place value: 1 for ones, 10 for tens, 100 for hundreds. (x / exp) % 10 pulls out that digit.
  • countingSortByDigit is a stable sort on a single digit: it counts how many of each digit appear, turns those counts into positions, then places elements from back to front to preserve order.
  • radixSort just runs that pass once per digit, stopping when exp passes the largest number.

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