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LintCode Find Peak Element(查找峰值)

2016-06-21 01:38 323 查看
原题网址:http://www.lintcode.com/en/problem/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.


Notice


The array may contains multiple peeks, find any of them.

Example

Given
[1, 2, 1, 3, 4, 5, 7,
6]

Return index
1
(which
is number 2) or
6
(which is number 7)

方法:二分法。答案可能不唯一,只需要得到一个即可。

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