题目:
假设按升序排序的数组在未知的某处旋转。(即[0,1,2,4,5,6,7]可能变为[4,5,6,7,0,1,2])。使用时间复杂度为O(logN)的方法查询数组内有没有target。
思路1:利用stl的map
int search(vector<int>& nums, int target) {//利用map,99%
map<int,int> a, b;
int temp = INT32_MIN;
int i = 0, sz = nums.size();
if (!sz)
return -1;
auto it = a.begin();
for (; nums[i] > temp; ++i) {
a.insert(pair<int, int>(nums[i], i));
temp = nums[i];
}
for (; i < sz; ++i) {
b.insert(pair<int, int>(nums[i], i));
}
if (target >= a.begin()->first ){
if ((it = a.find(target)) != a.end())
return it->second;
else
return -1;
}
else {
if ((it = b.find(target)) != b.end())
return it->second;
else
return -1;
}
}
思路2:二分查找
int search(vector<int>& nums, int target) {//二分法
int l = 0, r = nums.size() - 1, mid;
while (l <= r) {
mid = (r + l) / 2;
if (nums[mid] == target)
return mid;
else if (nums[mid] < nums[r]) {//旋转位置在mid左边
if (nums[mid] < target && target <= nums[r])
l = mid + 1;
else
r = mid - 1;
}
else {//旋转位置在mid右边
if (nums[mid] > target && target >= nums[l])
r = mid - 1;
else
l = mid + 1;
}
}
return -1;
}