十大经典排序算法视频讲解
代码仓库
代码仓库包含了完整的代码实现和测试,其中 Java 版本是官方实现,其他语言版本来自社区贡献。对于每一种排序算法,如果有多种实现方法,都会尽量提供。另外代码仓库中还提供了完备的测试用例,以此确保实现的排序算法覆盖了每一种可能的情况。
GitHub 链接:https://github.com/HawsteinStudio/algocasts-sorting-algorithms
冒泡排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/AEpoDvWQ
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代码:
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public class BubbleSort {
private void swap(int[] arr, int i, int j) {
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
// Time: O(n^2), Space: O(1)
public void sort(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
for (int end = n-1; end > 0; --end) {
for (int i = 0; i < end; ++i) {
if (arr[i] > arr[i+1]) {
int tmp = arr[i];
arr[i] = arr[i+1];
arr[i+1] = tmp;
}
}
}
}
// Time: O(n^2), Space: O(1)
public void sortShort(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
for (int end = n-1; end > 0; --end)
for (int i = 0; i < end; ++i)
if (arr[i] > arr[i+1])
swap(arr, i, i+1);
}
// Time: O(n^2), Space: O(1)
public void sortEarlyReturn(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
boolean swapped;
for (int end = n-1; end > 0; --end) {
swapped = false;
for (int i = 0; i < end; ++i) {
if (arr[i] > arr[i+1]) {
swap(arr, i, i+1);
swapped = true;
}
}
if (!swapped) return;
}
}
// Time: O(n^2), Space: O(1)
public void sortSkip(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
int newEnd;
for (int end = n-1; end > 0;) {
newEnd = 0;
for (int i = 0; i < end; ++i) {
if (arr[i] > arr[i+1]) {
swap(arr, i, i+1);
newEnd = i;
}
}
end = newEnd;
}
}
}
选择排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/Z5mzdwpd
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public class SelectionSort {
private void swap(int[] arr, int i, int j) {
if (i == j) return;
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
// Time: O(n^2), Space: O(1)
public void sort(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
for (int i = 0; i < n; ++i) {
int minIdx = i;
for (int j = i+1; j < n; ++j)
if (arr[j] < arr[minIdx])
minIdx = j;
swap(arr, i, minIdx);
}
}
// Time: O(n^2), Space: O(1)
public void sortFromEnd(int[] arr) {
if (arr == null || arr.length == 0) return;
int n = arr.length;
for (int i = n-1; i > 0; --i) {
int maxIdx = i;
for (int j = 0; j < i; ++j)
if (arr[j] > arr[maxIdx])
maxIdx = j;
swap(arr, i, maxIdx);
}
}
}
插入排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/dbGY9eG5
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public class InsertionSort {
// Time: O(n^2), Space: O(1)
public void sort(int[] arr) {
if (arr == null || arr.length == 0) return;
for (int i = 1; i < arr.length; ++i) {
int cur = arr[i];
int j = i - 1;
while (j >= 0 && arr[j] > cur) {
arr[j+1] = arr[j];
--j;
}
arr[j+1] = cur;
}
}
}
希尔排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/zbmKZgWZ
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public class ShellSort {
// Time: O(n^2), Space: O(1)
public void sort(int[] arr) {
if (arr == null || arr.length == 0) return;
for (int gap = arr.length>>1; gap > 0; gap >>= 1) {
for (int i = gap; i < arr.length; ++i) {
int cur = arr[i];
int j = i - gap;
while (j >= 0 && arr[j] > cur) {
arr[j+gap] = arr[j];
j -= gap;
}
arr[j+gap] = cur;
}
}
}
// Time: O(n^2), Space: O(1)
public void insertionSort(int[] arr) {
if (arr == null || arr.length == 0) return;
for (int i = 1; i < arr.length; ++i) {
int cur = arr[i];
int j = i - 1;
while (j >= 0 && arr[j] > cur) {
arr[j + 1] = arr[j];
j -= 1;
}
arr[j + 1] = cur;
}
}
}
快速排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/kVG9Pxmg
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public class QuickSort {
private void swap(int[] arr, int i, int j) {
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
// [ ... elem < pivot ... | ... elem >= pivot ... | unprocessed elements ]
// i j
private int lomutoPartition(int[] arr, int low, int high) {
int pivot = arr[high];
int i = low;
for (int j = low; j < high; ++j) {
if (arr[j] < pivot) {
swap(arr, i, j);
++i;
}
}
swap(arr, i, high);
return i;
}
// lomuto partition 的另一种实现,可以把最后的 swap 合并到循环中。
private int lomutoPartition2(int[] arr, int low, int high) {
int pivot = arr[high];
int i = low;
for (int j = low; j <= high; ++j) {
if (arr[j] <= pivot) {
swap(arr, i, j);
++i;
}
}
return i-1;
}
private void lomutoSort(int[] arr, int low, int high) {
if (low < high) {
int k = lomutoPartition(arr, low, high);
lomutoSort(arr, low, k-1);
lomutoSort(arr, k+1, high);
}
}
private int hoarePartitionDoWhile(int[] arr, int low, int high) {
int pivot = arr[low + (high-low)/2];
int i = low-1, j = high+1;
while (true) {
do {
++i;
} while (arr[i] < pivot);
do {
--j;
} while (arr[j] > pivot);
if (i >= j) return j;
swap(arr, i, j);
}
}
// [ ... elem <= pivot ... | unprocessed elements | ... elem >= pivot ... ]
// i j
private int hoarePartition(int[] arr, int low, int high) {
int pivot = arr[low + (high-low)/2];
int i = low, j = high;
while (true) {
while (arr[i] < pivot) ++i;
while (arr[j] > pivot) --j;
if (i >= j) return j;
swap(arr, i++, j--);
}
}
private void hoareSort(int[] arr, int low, int high) {
if (low < high) {
int k = hoarePartition(arr, low, high);
hoareSort(arr, low, k);
hoareSort(arr, k+1, high);
}
}
// Time: O(n*log(n)), Space: O(n)
public void lomutoSort(int[] arr) {
if (arr == null || arr.length == 0) return;
lomutoSort(arr, 0, arr.length-1);
}
// Time: O(n*log(n)), Space: O(n)
public void hoareSort(int[] arr) {
if (arr == null || arr.length == 0) return;
hoareSort(arr, 0, arr.length-1);
}
}
归并排序
视频链接:https://algocasts.io/series/sorting-algorithms/episodes/M0G2k7pz
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代码:
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public class MergeSort {
// sorted sub-array 1: arr[low ... mid]
// sorted sub-array 2: arr[mid+1 ... high]
private void merge(int[] arr, int low, int mid, int high, int[] tmp) {
int i = low, j = mid + 1, k = 0;
while (i <= mid && j <= high) {
if (arr[i] <= arr[j]) tmp[k++] = arr[i++];
else tmp[k++] = arr[j++];
}
while (i <= mid) tmp[k++] = arr[i++];
while (j <= high) tmp[k++] = arr[j++];
System.arraycopy(tmp, 0, arr, low, k);
}
private void mergeSort(int[] arr, int low, int high, int[] tmp) {
if (low < high) {
int mid = low + (high - low) / 2;
mergeSort(arr, low, mid, tmp);
mergeSort(arr
文章来源:
Author:Hawstein's Blog
link:http://hawstein.com/2019/09/16/sorting-algorithms-episodes/