在排序数组中查找元素的第一个和最后一个位置
2020-05-22 本文已影响0人
windUtterance
题目描述:
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(log n) 级别。
如果数组中不存在目标值,返回 [-1, -1]。
示例:
输入: nums = [5,7,7,8,8,10], target = 8
输出: [3,4]
class Solution {
public int binary_search(int[] nums, int target) {
int left = 0, right = nums.length - 1;
int mid;
while(left <= right) {
mid = left + (right - left) / 2;
if(target == nums[mid]) return mid;
else if(target < nums[mid]) right = mid - 1;
else if(target > nums[mid]) left = mid + 1;
}
return -1;
}
public int left_bound(int[] nums, int target) {
int left = 0, right = nums.length - 1;
int mid;
while(left <= right) {
mid = left + (right - left) / 2;
if(target == nums[mid]) right = mid - 1;
else if(target < nums[mid]) right = mid - 1;
else if(target > nums[mid]) left = mid + 1;
}
if(left >= nums.length || nums[left] != target) return -1;
return left;
}
public int right_bound(int[] nums, int target) {
int left = 0, right = nums.length - 1;
int mid;
while(left <= right) {
mid = left + (right - left) / 2;
if(target == nums[mid]) left = mid + 1;
else if(target < nums[mid]) right = mid - 1;
else if(target > nums[mid]) left = mid + 1;
}
if(right < 0 || nums[right] != target) return -1;
return right;
}
public int[] searchRange(int[] nums, int target) {
if(nums.length == 0) return new int[]{-1,-1};
int left = left_bound(nums, target);
int right = right_bound(nums, target);
return new int[]{left, right};
}
}