153. Find Minimum in Rotated Sorted Array

Suppose a sorted array is rotated at some pivot unknown to you beforehand.

(i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).

Find the minimum element.

You may assume no duplicate exists in the array.

二分查找,如果mid小于最右侧,证明右边是sort好的,则最小值必定在左边。

如果mid大于等于最右侧,则证明左侧最小值被rotate到了右侧,则最小值必定在右侧。

public class Solution {
  public int findMin(int[] num) {
    if (num.length == 0) {
      return Integer.MIN_VALUE;
    }
    int left = 0;
    int right = num.length - 1;
    int min = num[0];
    while (left <= right) {
      int mid = left + (right - left) / 2;
      if (num[mid] <= num[right]) {
        right = mid - 1;
      } else {
        left = mid + 1;
      }
      min = Math.min(min, num[mid]);
    }
    return min;
  }
}

posted on 2015-04-15 02:03  shini  阅读(89)  评论(0编辑  收藏  举报

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