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力扣链接:704. 二分查找,难度:简单

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 ,写一个函数搜索 nums 中的 target,如果目标值存在返回下标,否则返回 -1

示例 1:

输入: nums = [-1,0,3,5,9,12], target = 9

输出: 4

解释: 9 出现在 `nums` 中并且下标为 4

示例 2:

输入: nums = [-1,0,3,5,9,12], target = 2

输出: -1

解释: 2 不存在 `nums` 中因此返回 -1

约束:

  • 你可以假设 nums 中的所有元素是不重复的。
  • n 将在 [1, 10000] 之间。
  • nums 的每个元素都将在 [-9999, 9999] 之间。

思路

因为是已经排好序的数组,所以用中间的值进行比较,每次都可以排除掉一半的数字。

步骤

最快、最简单的方法是使用三个索引:leftrightmiddle
如果 nums[middle] > target,则 right = middle - 1,否则 left = middle + 1

复杂度

时间复杂度

O(log N)

空间复杂度

O(1)

Java #

class Solution {
    public int search(int[] nums, int target) {
        var left = 0;
        var right = nums.length - 1;

        while (left <= right) {
            var middle = (left + right) / 2;

            if (nums[middle] == target) {
                return middle;
            }

            if (nums[middle] > target) {
                right = middle - 1;
            } else {
                left = middle + 1;
            }
        }

        return -1;
    }
}

Python #

class Solution:
    def search(self, nums: List[int], target: int) -> int:
        left = 0
        right = len(nums) - 1

        while left <= right:
            middle = (left + right) // 2

            if nums[middle] == target:
                return middle

            if nums[middle] > target:
                right = middle - 1
            else:
                left = middle + 1

        return -1

C++ #

class Solution {
public:
    int search(vector<int>& nums, int target) {
        auto left = 0;
        int right = nums.size() - 1; // Should not use 'auto' here because 'auto' will make this variable become `unsigned long` which has no `-1`.

        while (left <= right) {
            auto middle = (left + right) / 2;

            if (nums[middle] == target) {
                return middle;
            }

            if (nums[middle] > target) {
                right = middle - 1;
            } else {
                left = middle + 1;
            }
        }

        return -1;
    }
};

JavaScript #

var search = function (nums, target) {
  let left = 0
  let right = nums.length - 1

  while (left <= right) {
    const middle = Math.floor((left + right) / 2)

    if (nums[middle] == target) {
      return middle
    }

    if (nums[middle] > target) {
      right = middle - 1
    } else {
      left = middle + 1
    }
  }

  return -1
};

C# #

public class Solution
{
    public int Search(int[] nums, int target)
    {
        int left = 0;
        int right = nums.Length - 1;

        while (left <= right)
        {
            int middle = (left + right) / 2;

            if (nums[middle] == target)
            {
                return middle;
            }

            if (nums[middle] > target)
            {
                right = middle - 1;
            } 
            else
            {
                left = middle + 1;
            }
        }

        return -1;
    }
}

Go #

func search(nums []int, target int) int {
    left := 0
    right := len(nums) - 1

    for left <= right {
        middle := (left + right) / 2

        if nums[middle] == target {
            return middle
        }

        if nums[middle] > target {
            right = middle - 1
        } else {
            left = middle + 1
        }
    }

    return -1
}

Ruby #

def search(nums, target)
  left = 0
  right = nums.size - 1

  while left <= right
    middle = (left + right) / 2

    return middle if nums[middle] == target

    if nums[middle] > target
      right = middle - 1
    else
      left = middle + 1
    end
  end

  -1
end

其它语言

欢迎贡献代码到我们的 GitHub 仓库,非常感谢!本题解位置在 704. 二分查找