题目描述
给你一个按照非递减顺序排列的整数数组 nums,和一个目标值 target。请你找出给定目标值在数组中的开始位置和结束位置。
如果数组中不存在目标值 target,返回 [-1, -1]。
你必须设计并实现时间复杂度为 O(log n) 的算法解决此问题。
示例:
输入:nums = [5,7,7,8,8,10], target = 8
输出:[3,4]
题目分析
两次二分查找。
查找 first 时,找到目标值后让 right = mid – 1;
查找 last 时,找到目标值后让 left = mid + 1;
Java
public int[] searchRange(int[] nums, int target) {
int left = 0, right = nums.length - 1;
int first = -1;
while (left <= right) {
int mid = (left + right) / 2;
if (nums[mid] < target) {
left = mid + 1;
} else if (nums[mid] > target) {
right = mid - 1;
} else {
first = mid;
right = mid - 1;
}
}
int last = -1;
left = 0;
right = nums.length - 1;
while (left <= right) {
int mid = (left + right) / 2;
if (nums[mid] < target) {
left = mid + 1;
} else if (nums[mid] > target) {
right = mid - 1;
} else {
last = mid;
left = mid + 1;
}
}
return new int[]{first, last};
}
Kotlin
fun searchRange(nums: IntArray, target: Int): IntArray {
var first = -1
var left = 0
var right = nums.size - 1
while (left <= right) {
val mid = (left + right) / 2
if (nums[mid] < target) {
left = mid + 1
} else if (nums[mid] > target) {
right = mid - 1
} else {
first = mid
right = mid - 1
}
}
var last = -1
left = 0
right = nums.size - 1
while (left <= right) {
val mid = (left + right) / 2
if (nums[mid] < target) {
left = mid + 1
} else if (nums[mid] > target) {
right = mid - 1
} else {
last = mid
left = mid + 1
}
}
return intArrayOf(first, last)
}