33 Search in Rotated Sorted Array
1. Question
Suppose an array sorted in ascending order is rotated at some pivot unknown to you beforehand.
(i.e.,0 1 2 4 5 6 7
might become4 5 6 7 0 1 2
).
You are given a target value to search. If found in the array return its index, otherwise return -1.
You may assume no duplicate exists in the array.
2. Implementation
(1) Binary Search
class Solution {
public int search(int[] nums, int target) {
if (nums == null || nums.length == 0) {
return -1;
}
int start = 0, end = nums.length - 1, mid = 0;
while (start + 1 < end) {
mid = start + (end - start) / 2;
if (nums[mid] == target) {
return mid;
}
else if (nums[mid] < nums[end]) {
if (nums[mid] < target && target <= nums[end]) {
start = mid + 1;
}
else {
end = mid - 1;
}
}
else {
if (nums[start] <= target && target < nums[mid]) {
end = mid - 1;
}
else {
start = mid + 1;
}
}
}
if (nums[start] == target) {
return start;
}
else if (nums[end] == target) {
return end;
}
else {
return -1;
}
}
}
3. Time & Space Complexity
时间复杂度O(logn), 空间复杂度O(1)
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