153.Find Minimum in Rotated Sorted Array

1 -`

和Search in Rotated Sorted Array I这题换汤不换药。同样可以根据A[mid]和A[end]来判断右半数组是否sorted:
原数组:0 1 2 4 5 6 7
情况1:  6 7 0 1 2 4 5   
情况2:  2 4 5 6 7 0 1  
(1) A[mid] < A[end]:A[mid : end] sorted => min不在A[mid+1 : end]中
搜索A[start : mid]
(2) A[mid] > A[end]:A[start : mid] sorted且又因为该情况下A[end]<A[start] => min不在A[start : mid]中
搜索A[mid+1 : end]
(3) base case:
a. start =  end,必然A[start]为min,为搜寻结束条件。
b. start + 1 = end,此时A[mid] =  A[start],而min = min(A[mid], A[end])。而这个条件可以合并到(1)和(2)中。
class Solution {
    public int findMin(int[] nums) {
        int left = 0;
        int right = nums.length - 1;
        while(left < right){
            int mid = left + (right - left) / 2;
            if(nums[mid] < nums[right]){
                right = mid;
            }
            else {
                left = mid + 1;
            }
        }
        return nums[left];
    }
}

results matching ""

    No results matching ""