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Insert sort implementation basic concepts

The insertion sort is similar to our daily playing of cards, usually the cards in our hands are already in order, and when we get a new card, we insert it into the right place.

# # implementation principle

The following shows the execution of the insertion sort, assuming that | on the left side of iMagol I indicates that it has been sorted, and the one on the right is unordered.

9 | 1 6 2

1 9 | 6 2

1 6 9 | 2

1 2 6 9

In fact, the filtering process is equivalent to a right-to-left loop implementation, which uses the variable j to track the filtered element, as long as j is greater than 0 and the element does not reach the final position (the element is smaller than its precursor), otherwise the element is exchanged.

# # implementation process

For (int ionom0; i0) & arr [j-1] > arr [j]; Jmuri -) {

Int t = arr [j]

Arr [j] = ARR [j-1]

ARR [j-1] = temp

}

}

This is the program implementation process of insertion sorting. If we think about it a little bit, by adding variables, we can get the following insertion sorting algorithm.

For (int iTuno; i0mm & arr [j-1] > tten jmuri -) {

Arr [j] = ARR [j-1]

}

Arr [j] = t

}

As long as t is less than the array element of the sorted part, move the element to the right one position until the appropriate position is inserted. This algorithm is a little more complex than the previous one, but its performance is also higher than the previous one. In the worst case of time complexity, it is proportional to n ^ 2. The performance is very high for locally ordered arrays.

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