bucket_sort.py

def bucket_sort(input_list):
    # Find maximum value in the list and use length of the list to determine which value in the list goes into which bucket 
    max_value = max(input_list)
    size = max_value/len(input_list)

    # Create n empty buckets where n is equal to the length of the input list
    buckets_list= []
    for x in range(len(input_list)):
        buckets_list.append([]) 

    # Put list elements into different buckets based on the size
    for i in range(len(input_list)):
        j = int (input_list[i] / size)
        if j != len (input_list):
            buckets_list[j].append(input_list[i])
        else:
            buckets_list[len(input_list) - 1].append(input_list[i])

    # Sort elements within the buckets using Insertion Sort
    for z in range(len(input_list)):
        insertion_sort(buckets_list[z])
            
    # Concatenate buckets with sorted elements into a single list
    final_output = []
    for x in range(len (input_list)):
        final_output = final_output + buckets_list[x]
    return final_output