Saturday, July 11, 2015

Find Peak Element

Find Peak Element

44%
Accepted
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.
Have you met this question in a real interview? 
Yes
Example
Given [1, 2, 1, 3, 4, 5, 7, 6]
Return index 1 (which is number 2) or 6 (which is number 7)
Note
The array may contains multiple peeks, find any of them.
Challenge
Time complexity O(logN)

class Solution {
    /**
     * @param A: An integers array.
     * @return: return any of peek positions.
     */
    public int findPeak(int[] A) {
        // write your code here
        
        int l = 0, r = A.length-1;
        
        while(l <= r){
            if(l == r) return l;
            int mid = (l+r)/2;
            if(A[mid] > A[mid+1]){
                r = mid;
            } else l = mid+1;
        }
        return l;
    }
}
class Solution {
    /**
     * @param A: An integers array.
     * @return: return any of peek positions.
     */
    public int findPeak(int[] A) {
        // write your code here
        
        for(int i = 1; i < A.length; i++){
            if(A[i] < A[i-1]){
                return i-1;
            }
        }
        return A.length+1;
    }
}

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