Radix sort
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Radix sort is a non-comparative integer sorting algorithm that sorts data by grouping keys based on their individual digit positions and values, from least to most significant. It works by sorting the integers based on the ones place value first, then the tens place, hundreds place, and so on. The algorithm uses buckets to separate numbers into groups based on their digit values, then concatenates the buckets to sort the list.
![• def radix_sort(array, base=10):
• def list_to_buckets(array, base, iteration):
• buckets = [[] for _ in range(base)]
• for number in array:
• # Isolate the base-digit from the number
• digit = (number // (base ** iteration)) % base
• # Drop the number into the correct bucket buckets[digit].append(number)
• return buckets
• def buckets_to_list(buckets):
• numbers = []
• for bucket in buckets:
• # append the numbers in a bucket
• # sequentially to the returned array
• for number in bucket:
• numbers.append(number)
• return numbers
• maxval = max(array)
• it = 0
• # Iterate, sorting the array by each base-digit
• while base ** it <= maxval:
• array = buckets_to_list(list_to_buckets(array, base, it))
• it += 1
• return array](https://image.slidesharecdn.com/radixsort-180216014140/85/Radix-sort-4-320.jpg)
Radix sort
- 2. Radix Sort • radix sort is a non-comparative integer sorting algorithm that sorts data with integer keys by grouping keys by the individual digits which share the same significant position and value. A positional notation is required
- 3. • Most digital computers internally represent all of their data as electronic representations of binary numbers, so processing the digits of integer representations by groups of binary digit representations is most convenient. Two classifications of radix sorts are least significant digit (LSD) radix sorts and most significant digit (MSD) radix sorts. LSD radix sorts process the integer representations starting from the least digit and move towards the most significant digit. MSD radix sorts work the other way around. Radix Sort
- 4. • def radix_sort(array, base=10): • def list_to_buckets(array, base, iteration): • buckets = [[] for _ in range(base)] • for number in array: • # Isolate the base-digit from the number • digit = (number // (base ** iteration)) % base • # Drop the number into the correct bucket buckets[digit].append(number) • return buckets • def buckets_to_list(buckets): • numbers = [] • for bucket in buckets: • # append the numbers in a bucket • # sequentially to the returned array • for number in bucket: • numbers.append(number) • return numbers • maxval = max(array) • it = 0 • # Iterate, sorting the array by each base-digit • while base ** it <= maxval: • array = buckets_to_list(list_to_buckets(array, base, it)) • it += 1 • return array
- 6. sorting least significant digit (1's place)
- 7. sorting least significant digit (1's place)
- 8. Sorting by next digit (10's place)
- 9. Sorting by next digit (10's place)
- 10. Sorting by next digit (10's place)
- 11. Sorting by next digit (10's place)
- 12. Sorting by next digit (10's place)
- 13. Sorting by next digit (10's place)
- 14. Sorting by most significant digit (100's place)
- 15. Sorting by most significant digit (100's place)
- 16. Sorting by most significant digit (100's place)
- 17. Radix Sort