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腾讯&字节&leetcode34:在排序数组中查找元素的第一个和最后一个位置 #84

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@sisterAn

给定一个按照升序排列的整数数组 nums ,和一个目标值 target 。找出给定目标值在数组中的开始位置和结束位置。

你的算法时间复杂度必须是 O(logn) 级别。

如果数组中不存在目标值,返回 [-1, -1] 。

示例 1:

输入: nums = [5,7,7,8,8,10], target = 8
输出: [3,4]

示例 2:

输入: nums = [5,7,7,8,8,10], target = 6
输出: [-1,-1]

附赠leetcode地址:leetcode

Activity

  1. Cxy56 commented on Jul 17, 2020

    @Cxy56
    var searchRange = function(nums, target) {
      let left = 0, right = nums.length -1
      let start = -1, end = -1
      while(left <= right) {
          if(nums[left] < target) left++
          // 找到第一个出现的位置,赋值给start
          if(nums[left] === target && start === -1) start = left++
          if(nums[right] > target) right--
          // 找到最后一个出现的位置,赋值给end
          if(nums[right] === target && end === -1) end = right--
          if(start > -1 && end > -1) break
      }
      return [start, end]
    };
  2. sisterAn commented on Jul 19, 2020

    @sisterAn
    OwnerAuthor

    解答一:findIndex、lastIndexOf

    findIndex() 方法返回数组中满足提供的测试函数的第一个元素的索引。若没有找到对应元素则返回-1。

    lastIndexOf() 方法返回指定元素(也即有效的 JavaScript 值或变量)在数组中的最后一个的索引,如果不存在则返回 -1。

    解答二:二分查找

    let searchRange = function(nums, target) {
        return [leftSearch(nums, target), rightSearch(nums, target)]
    }
    
    let leftSearch = function(nums, target) {
        let low = 0, 
            high = nums.length - 1,
            mid
        while (low <= high) {
            mid = Math.floor((low+high)/2)
            if (nums[mid] < target) {
                low = mid + 1
            } else if (nums[mid] > target) {
                high = mid - 1
            } else if (nums[mid] === target) {
                // 这里不返回,继续收缩左侧边界
                high = mid - 1
            }
        }
        // 最后检查 low 是否越界或命中
        if (low >= nums.length || nums[low] != target)
            return -1
        return low
    }
    
    
    let rightSearch = function (nums, target) {
        let low = 0, 
            high = nums.length - 1,
            mid
        while (low <= high) {
            mid = Math.floor((low+high)/2)
            if (nums[mid] < target) {
                low = mid + 1
            } else if (nums[mid] > target) {
                high = mid - 1
            } else if (nums[mid] === target) {
                // 这里不返回,继续收缩右侧边界
                low = mid + 1
            }
        }
        // 最后检查 high 是否越界或命中
        if (high < 0 || nums[high] != target)
            return -1
        return high
    }

    复杂度分析:

    • 时间复杂度:O(logn) 
    • 空间复杂度:O(1)
  3. Airfald commented on Sep 23, 2020

    @Airfald

    嗯,这算法可以, 但是在真正项目中我愿意用 findIndex , findLastIndex

  4. XW666 commented on Apr 14, 2021

    @XW666
    ###  const comfiles = (arr, val) => {
        let sta = -1, end = -1;
        let obj = {}
        arr.forEach((item, index) => {
          if (item === val) {
            if (obj[item]) {
              end = index
            } else {
              obj[item] = index
              sta = index
            }
          }
        })
        return [sta, end]
      }
    
  5. JYone223 commented on Apr 19, 2021

    @JYone223

    简化的二分查找

    var searchRange = function(nums, target) {
      let mid;
      let low = 0;
      let high = nums.length - 1;
    
      while (low <= high) {
        mid = Math.floor((low + high) / 2);
        if (nums[mid] === target) {
          let start = end = mid;
          while (nums[start] === target) start--;
          while (nums[end] === target) end++;
    
          return [start + 1, end - 1];
        }
    
        if (nums[mid] > target) {
          high = mid - 1;
        } else {
          low = mid + 1;
        }
      }
    
      return [-1, -1];
    }
    
  6. KylinLee commented on Apr 19, 2021

    @KylinLee

    二分查找找到后,双指针同时向前向后查找。

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