package LeetCode_154
/**
* 154. Find Minimum in Rotated Sorted Array II
* https://leetcode.com/problems/find-minimum-in-rotated-sorted-array-ii/
*
* Suppose an array sorted in ascending order 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.
The array may contain duplicates.
Example 1:
Input: [1,3,5]
Output: 1
Example 2:
Input: [2,2,2,0,1]
Output: 0
Note:
1. This is a follow up problem to Find Minimum in Rotated Sorted Array.
2. Would allow duplicates affect the run-time complexity? How and why?
* */
class Solution {
/*
* solution: Divide and conquer, check left side and right side of array,
* Time complexity: O(logn), because at least half of array is sorted,
* Space complexity: O(logn), there are logn levels recursion,
* */
fun findMin(nums: IntArray): Int {
return findMin(nums, 0, nums.size - 1)
}
private fun findMin(nums: IntArray, left: Int, right: Int): Int {
//if just one or two elements
if (left == right) {
return nums[left]
}
//is sorted, because array contains duplicate, so cannot check if equals
if (nums[left] < nums[right]) {
return nums[left]
}
//compare left and right side
val mid = left + (right - left) / 2
val leftSide = findMin(nums, left, mid)
val rightSide = findMin(nums, mid + 1, right)
return Math.min(leftSide, rightSide)
}
}