汇总:
1. 冒泡排序
每轮循环确定最值;
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public void bubbleSort( int [] nums){ int temp; boolean isSort = false ; //优化,发现排序好就退出 for ( int i = 0 ; i < nums.length- 1 ; i++) { for ( int j = 0 ; j < nums.length- 1 -i; j++) { //每次排序后能确定较大值 if (nums[j] > nums[j+ 1 ]){ isSort = true ; temp = nums[j]; nums[j] = nums[j+ 1 ]; nums[j+ 1 ] = temp; } } if (!isSort){ return ; } else { isSort = false ; } } } |
2. 选择排序
每次选出最值,再交换到边上;
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public void selectSort( int [] nums){ for ( int i = 0 ; i < nums.length- 1 ; i++) { int index = i; int minNum = nums[i]; for ( int j = i+ 1 ; j < nums.length; j++) { if (nums[j] < minNum){ minNum = nums[j]; index = j; } } if (index != i){ nums[index] = nums[i]; nums[i] = minNum; } } } |
3. 插入排序
对循环的每个数找到属于自己的位置插入;
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public void insertionSort( int [] nums){ for ( int i = 1 ; i < nums.length; i++) { int j = i; int insertNum = nums[i]; while (j- 1 >= 0 && nums[j- 1 ] > insertNum){ nums[j] = nums[j- 1 ]; j--; } nums[j] = insertNum; } } |
4. 快速排序
选一个基本值,小于它的放一边,大于它的放另一边;
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public void quickSortDfs( int [] nums, int left, int right){ if (left > right){ return ; } int l = left; int r = right; int baseNum = nums[left]; while (l < r){ //必须右边先走 while (nums[r] >= baseNum && l < r){ r--; } while (nums[l] <= baseNum && l < r){ l++; } int temp = nums[l]; nums[l] = nums[r]; nums[r] = temp; } nums[left] = nums[l]; nums[l] = baseNum; quickSortDfs(nums, left, r- 1 ); quickSortDfs(nums, l+ 1 , right); } |
5. 归并排序
分治算法;
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//归 public void mergeSortDfs( int [] nums, int l, int r){ if (l >= r){ return ; } int m = (l+r)/ 2 ; mergeSortDfs(nums, l, m); mergeSortDfs(nums, m+ 1 , r); merge(nums, l, m, r); } //并 private void merge( int [] nums, int left, int mid, int right){ int [] temp = new int [right-left+ 1 ]; int l = left; int m = mid+ 1 ; int i = 0 ; while (l <= mid && m <= right){ if (nums[l] < nums[m]){ temp[i++] = nums[l++]; } else { temp[i++] = nums[m++]; } } while (l <= mid){ temp[i++] = nums[l++]; } while (m <= right){ temp[i++] = nums[m++]; } System.arraycopy(temp, 0 , nums, left, temp.length); } |
6. 希尔排序
引入步长减少数字交换次数提高效率;
6.1 希尔-冒泡排序(慢)
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public void shellBubbleSort( int [] nums){ for ( int step = nums.length/ 2 ; step > 0 ; step /= 2 ) { for ( int i = step; i < nums.length; i++) { for ( int j = i-step; j >= 0 ; j -= step) { if (nums[j] > nums[j+step]){ int temp = nums[j]; nums[j] = nums[j+step]; nums[j+step] = temp; } } } } } |
6.2 希尔-插入排序(快)
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public void shellInsertSort( int [] nums){ for ( int step = nums.length/ 2 ; step > 0 ; step /= 2 ) { for ( int i = step; i < nums.length; i++) { int j = i; int insertNum = nums[i]; while (j-step >= 0 && nums[j-step] > insertNum){ nums[j] = nums[j-step]; j-=step; } nums[j] = insertNum; } } } |
7. 堆排序
大顶堆实现升序,每次将最大值移到堆的最后一个位置上;
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public void heapSort2( int [] nums) { for ( int i = nums.length/ 2 - 1 ; i >= 0 ; i--){ sift(nums, i, nums.length); } for ( int i = nums.length- 1 ; i > 0 ; i--) { int temp = nums[ 0 ]; nums[ 0 ] = nums[i]; nums[i] = temp; sift(nums, 0 , i); } } private void sift( int [] nums, int parent, int len) { int value = nums[parent]; for ( int child = 2 *parent + 1 ; child < len; child = child* 2 + 1 ) { if (child+ 1 < len && nums[child+ 1 ] > nums[child]){ child++; } if (nums[child] > value){ nums[parent] = nums[child]; parent = child; } else { break ; } } nums[parent] = value; } |
8. 计数排序
按顺序统计每个数出现次数;
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public void countSort( int [] nums){ int max = Integer.MIN_VALUE; int min = Integer.MAX_VALUE; for ( int num : nums){ max = Math.max(max, num); min = Math.min(min, num); }
int [] countMap = new int [max-min+ 1 ]; for ( int num : nums){ countMap[num-min]++; } int i = 0 ; int j = 0 ; while (i < nums.length && j < countMap.length){ if (countMap[j] > 0 ){ nums[i] = j+min; i++; countMap[j]--; } else { j++; } } } |
9. 桶排序
类似计数排序,不同点在于统计的是某个区间(桶)里的数;
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public void bucketSort( int [] nums){ int max = Integer.MIN_VALUE; int min = Integer.MAX_VALUE; for ( int num : nums){ max = Math.max(max, num); min = Math.min(min, num); } int bucketCount = (max-min)/nums.length+ 1 ; List<List<Integer>> bucketList = new ArrayList<>(); for ( int i = 0 ; i < bucketCount; i++) { bucketList.add( new ArrayList<>()); }
for ( int num : nums){ int index = (num-min)/nums.length; bucketList.get(index).add(num); } for (List<Integer> bucket : bucketList){ Collections.sort(bucket); }
int j = 0 ; for (List<Integer> bucket : bucketList){ for ( int num : bucket){ nums[j] = num; j++; } } } |
10. 基数排序
按个、十、百位依次归类排序;
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public void radixSort( int [] nums){ int min = Integer.MAX_VALUE; int max = Integer.MIN_VALUE; for ( int num : nums) { min = Math.min(min, num); max = Math.max(max, num); } for ( int i = 0 ; i < nums.length; i++) { nums[i] -= min; } max -= min; int maxLen = (max+ "" ).length();
int [][] bucket = new int [nums.length][ 10 ]; int [] bucketCount = new int [ 10 ];
for ( int i = 0 , n = 1 ; i < maxLen; i++, n*= 10 ) { for ( int num : nums) { int digitVal = num / n % 10 ; bucket[bucketCount[digitVal]][digitVal] = num; bucketCount[digitVal]++; } int index = 0 ; for ( int j = 0 ; j < bucketCount.length; j++) { if (bucketCount[j] > 0 ){ for ( int k = 0 ; k < bucketCount[j]; k++) { nums[index] = bucket[k][j]; index++; } } bucketCount[j] = 0 ; } } for ( int i = 0 ; i < nums.length; i++) { nums[i] += min; } } |
11. 使用集合或 API
11.1 优先队列
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public void priorityQueueSort( int [] nums){ PriorityQueue<Integer> queue = new PriorityQueue<>(); for ( int num : nums){ queue.offer(num); } for ( int i = 0 ; i < nums.length; i++) { nums[i] = queue.poll(); } } |
11.2 Java API
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public void arraysApiSort( int [] nums){ Arrays.sort(nums); } |
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原文链接:https://blog.51cto测试数据/dlhjw/5136864