Find Peak Element
There is an integer array which has the following features:
The numbers in adjacent positions are different. A[0] < A[1] && A[A.length - 2] > A[A.length - 1]. We define a position P is a peek if:
A[P] > A[P-1] && A[P] > A[P+1] Find a peak element in this array. Return the index of the peak.
Example:
Given [1, 2, 1, 3, 4, 5, 7, 6]
Return index 1 (which is number 2) or 6 (which is number 7)
Notes:
- The condition make sure the question has at least one solution
- Method 1: loop to compare with the adjacent items O(n) time
- Method 2: Binary search, keep half. The solution must not exist in the half which could not meet the condition.
public int findPeak(int[] nums) {
if (nums == null || nums.length <= 2) {
return -1;
}
int start = 1;
int end = nums.length-2;
while(start+1 < end) {
int mid = start + (end-start)/2;
if (nums[mid] < nums[mid+1]) {
start = mid;
} else if (nums[mid] < nums[mid-1]) {
end = mid;
} else {
return mid;
}
}
if (nums[start] > nums[end]) {
return start;
}
return end;
}