一:用法

1、有序、无反复的数组
2、当有反复时,能够先用二分法查找到,而后应用左右滑动来找到边界
3、二分法例子:

  • 给定一个n个元素有序的(升序)整型数组nums和一个目标值target,写一个函数搜寻nums中的target,如果目标值存在返回下标,否则返回-1。
public class Search {    public static void main(String[] args) {        int[] nums = {-1, 0, 3, 5, 9, 12};//        int target = 9;        int target = 2;        //办法一:暴力循环        int i = method1(nums, target);        System.out.println(i);        //办法二:target【】双闭区间        int get2 = method2(nums, target);        System.out.println(get2);        //办法三:【)左闭右开区间        int get3 = method3(nums, target);        System.out.println(get3);    }    private static int method3(int[] nums, int target) {        int left = 0;        int right = nums.length;//[)        while (left < right) {            int mid = left + ((right - left) >> 1);            if (nums[mid] > target) {                right = mid;            } else if (nums[mid] < target) {                left =mid+1;            } else if (nums[mid] == target) {                return mid;            }        }        return -1;    }    private static int method2(int[] nums, int target) {        int left = 0;        int right = nums.length - 1; //因为此处是-1,所以要用双闭区间        while (left <= right) {            int mid = left + ((right - left) >> 1);            if (nums[mid] > target) {                right = mid - 1;            } else if (nums[mid] < target) {                left = mid + 1;            } else if (nums[mid] == target) {                return mid;            }        }        //未找到指标        return -1;    }    private static int method1(int[] nums, int target) {        int get = -1;        for (int i = 0; i < nums.length; i++) {            if (nums[i] == target) {                get = i;                break;            }        }        return get;    }}

二:区间

2.1: