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Insertion Sort

This Insertion Sort lesson is for a beginner. Read the short notes, run each example, then change one name or number and run it again.

Insertion sort takes the next item and slides it left until it sits in order among the items already sorted.

It is quick when the list is short or already nearly sorted.

Example 1: Start here

The left side of i is always sorted.

def insertion(items): # define the function; it runs when you call it items = items[:] # a separate copy for i in range(1, len(items)): # repeat once per number; range stops before the last value = items[i] # the value at this position j = i - 1 # the result of this math while j >= 0 and items[j] > value: # keep repeating while this stays true items[j + 1] = items[j] # change this one field j -= 1 # update the stored value items[j + 1] = value # change this one field return items # send this value back to the caller print(insertion([4, 1, 3]))

Example 2: Walk the values

Insertion Sort starts by visiting one value at a time. Read the printed lines from top to bottom.

values = [27, 3, 11, 7] # a list; the values stay in this order for value in values: # repeat the indented lines once per value print(value)

Example 3: Keep the largest

Many data-structure lessons reduce a list to one answer. This one remembers the largest number seen so far.

values = [27, 3, 11, 7] # a list; the values stay in this order best = values[0] # the first value for value in values: # repeat the indented lines once per value if value > best: # run the indented lines only when this is true best = value # another name for the same value print(best)

Example 4: Search for a target

A search asks one yes-or-no question: is the target in the collection? Insertion Sort builds on that question.

values = [3, 27, 11] # a list; the values stay in this order target = 27 # a whole number print(target in values) # in is True when the value is found
The left side of i is always sorted.
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