选择排序(排序算法--比较排序)

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第二篇算法。

选择排序,也是非常简单的排序算法,学校课本中学过。

定义如下:首先在未排序序列中找到最小(大)元素,存放到排序序列的起始位置,然后,再从剩余未排序元素中继续寻找最小(大)元素,然后放到已排序序列的末尾。以此类推,直到所有元素均排序完毕。(摘自维基百科)

Java语言实现:

        int[] arrays = {34, 32, 22, 82, 55, 89, 50, 37, 5, 3};        System.out.println("y: " + Arrays.toString(arrays));        int size = arrays.length;        for (int i = 0; i < size - 1; ++i){            int t = i;            for (int j = i+1; j < size ; ++j){                if (arrays[t] > arrays[j]){                    t = j;                }            }            int tmp = arrays[t];            arrays[t] = arrays[i];            arrays[i] = tmp;            System.out.println( i + ": " + Arrays.toString(arrays));        }
输出的结果为:

y: [34, 32, 22, 82, 55, 89, 50, 37, 5, 3]0: [3, 32, 22, 82, 55, 89, 50, 37, 5, 34]1: [3, 5, 22, 82, 55, 89, 50, 37, 32, 34]2: [3, 5, 22, 82, 55, 89, 50, 37, 32, 34]3: [3, 5, 22, 32, 55, 89, 50, 37, 82, 34]4: [3, 5, 22, 32, 34, 89, 50, 37, 82, 55]5: [3, 5, 22, 32, 34, 37, 50, 89, 82, 55]6: [3, 5, 22, 32, 34, 37, 50, 89, 82, 55]7: [3, 5, 22, 32, 34, 37, 50, 55, 82, 89]8: [3, 5, 22, 32, 34, 37, 50, 55, 82, 89]


如果想要将最大的排到最前面,需要将

if (arrays[t] > arrays[j])
改为:

if (arrays[t] < arrays[j])


修改后的输出如下:

y: [34, 32, 22, 82, 55, 89, 50, 37, 5, 3]0: [89, 32, 22, 82, 55, 34, 50, 37, 5, 3]1: [89, 82, 22, 32, 55, 34, 50, 37, 5, 3]2: [89, 82, 55, 32, 22, 34, 50, 37, 5, 3]3: [89, 82, 55, 50, 22, 34, 32, 37, 5, 3]4: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]5: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]6: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]7: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]8: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]
发现在 4 时就已经排好顺序了。

可以对此进行优化,加入flag的判断:

        int[] arrays = {34, 32, 22, 82, 55, 89, 50, 37, 5, 3};        System.out.println("y: " + Arrays.toString(arrays));        int size = arrays.length;        for (int i = 0; i < size - 1; ++i){            int t = i;            boolean flag = true;            for (int j = i+1; j < size ; ++j){                if (arrays[t] < arrays[j]){                    t = j;                    flag = false;                }            }            int tmp = arrays[t];            arrays[t] = arrays[i];            arrays[i] = tmp;            System.out.println( i + ": " + Arrays.toString(arrays));            if (flag){                break;            }        }

优化后的输出结果如下:

y: [34, 32, 22, 82, 55, 89, 50, 37, 5, 3]0: [89, 32, 22, 82, 55, 34, 50, 37, 5, 3]1: [89, 82, 22, 32, 55, 34, 50, 37, 5, 3]2: [89, 82, 55, 32, 22, 34, 50, 37, 5, 3]3: [89, 82, 55, 50, 22, 34, 32, 37, 5, 3]4: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]5: [89, 82, 55, 50, 37, 34, 32, 22, 5, 3]

可以看到,少几次的循环。

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