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Given a sorted array of integers, find the starting and ending position of a given target value.
Your algorithm‘s runtime complexity must be in the order of O(log n).
If the target is not found in the array, return [-1, -1]
.
For example,
Given [5, 7, 7, 8, 8, 10]
and target value 8,
return [3, 4]
.
思路:
以leetcode的风格,这个题目遍历数组是不可能通过的,给的题目分类果然是二分查找的。很容易想到,可以通过二分查找找到目标值,然后在找到值的下标左右分别顺序寻找边界。这样做还是超时了,因为算法在1 1 1 1 1这种会退化成O(n)的复杂度。
为了避免超时,那只能在找到后继续二分查找了。再进行二分查找时,主要是判断beg,end和mid的关系。我也是一点一点提交试出来的,没有一次性全部考虑到。
题解:
class Solution { public: int beg = -1; int end = -1; void find(int a[], int l, int r, int target) { if(l<=r) { int mid = (l+r)/2; if(a[mid]==target) { if(beg==-1 || mid<beg) beg = mid; if(end<mid) end = mid; find(a, l, mid-1, target); find(a, mid+1, r, target); } else if(a[mid]<target) find(a, mid+1, r, target); else find(a, l, mid-1, target); } } vector<int> searchRange(int A[], int n, int target) { vector<int> res; find(A, 0, n-1, target); res.push_back(beg); res.push_back(end); return res; } };
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原文地址:http://www.cnblogs.com/jiasaidongqi/p/4179874.html