Follow up for "Search in Rotated Sorted Array":
What if duplicates are allowed?
What if duplicates are allowed?
Would this affect the run-time complexity? How and why?
Write a function to determine if a given target is in the array.
Solution: binary search
解决的办法只能是对边缘移动一步,直到边缘和中间不在相等或者相遇,这就导致了会有不能切去一半的可能。所以最坏情况(比如全部都是一个元素,或者只有一个元素不同于其他元素,而他就在最后一个)就会出现每次移动一步,总共是n步,算法的时间复杂度变成O(n)。
public class Solution {
public boolean search(int[] nums, int target) {
if (nums == null || nums.length == 0) {
return false;
}
int left = 0;
int right = nums.length - 1;
while (left <= right) {
int mid = (left + right) / 2;
if (nums[mid] == target) {
return true;
}
if (nums[mid] > nums[left]) {
if (target < nums[mid] && target >= nums[left]) {
right = mid - 1;
} else {
left = mid;
}
} else if (nums[mid] < nums[left]) {
if (target > nums[mid] && target <= nums[right]) {
left = mid + 1;
} else {
right = mid;
}
} else {
left++; //处理中间和边缘相等情况,移动一步
}
}
return false;
}
}
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