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
return
Given
[5, 7, 7, 8, 8, 10]
and target value 8,return
[3, 4]
.
Straight forward solution. Binary search first followed by a local scanning around mid pointer.
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class Solution { | |
public: | |
int rBound(vector<int>& nums, int target, int l, int r){ | |
if(l>r) | |
return -1; | |
while(l<=r){ | |
int mid = (l+r)/2; | |
if(target<nums[mid]){ | |
r=mid-1; | |
continue; | |
} | |
if(target>nums[mid]){ | |
l=mid+1; | |
continue; | |
} | |
if(target==nums[mid]){ | |
if((mid+1<nums.size() && nums[mid]!=nums[mid+1]) || (mid==nums.size()-1)) | |
return mid; | |
else | |
l=mid+1; | |
} | |
} | |
return -1; | |
} | |
int lBound(vector<int>& nums, int target, int l, int r){ | |
if(l>r) | |
return -1; | |
while(l<=r){ | |
int mid = (l+r)/2; | |
if(target<nums[mid]){ | |
r=mid-1; | |
continue; | |
} | |
if(target>nums[mid]){ | |
l=mid+1; | |
continue; | |
} | |
if(target==nums[mid]){ | |
if((mid-1>=0 && nums[mid]!=nums[mid-1]) || (mid==0)) | |
return mid; | |
else | |
r=mid-1; | |
} | |
} | |
return -1; | |
} | |
vector<int> searchRange(vector<int>& nums, int target) { | |
vector<int> res; | |
if(nums.empty()) | |
return res; | |
int lb = lBound(nums, target, 0, nums.size()-1); | |
int rb = rBound(nums, target, 0, nums.size()-1); | |
res.push_back(lb); | |
res.push_back(rb); | |
return res; | |
} | |
}; |
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