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Suppose an array of length n sorted in ascending order is rotated between 1 and n times. For example, the array nums = [0,1,2,4,5,6,7] might become:
[4,5,6,7,0,1,2] if it was rotated 4 times.[0,1,2,4,5,6,7] if it was rotated 7 times.Notice that rotating an array [a[0], a[1], a[2], ..., a[n-1]] 1 time results in the array [a[n-1], a[0], a[1], a[2], ..., a[n-2]].
Given the sorted rotated array nums of unique elements, return the minimum element of this array.
You must write an algorithm that runs in O(log n) time.
Example 1:
Input: nums = [3,4,5,1,2] Output: 1 Explanation: The original array was [1,2,3,4,5] rotated 3 times.
Example 2:
Input: nums = [4,5,6,7,0,1,2] Output: 0 Explanation: The original array was [0,1,2,4,5,6,7] and it was rotated 4 times.
Example 3:
Input: nums = [11,13,15,17] Output: 11 Explanation: The original array was [11,13,15,17] and it was rotated 4 times.
Constraints:
n == nums.length1 <= n <= 5000-5000 <= nums[i] <= 5000nums are unique.nums is sorted and rotated between 1 and n times.class Solution:
def findMin(self, nums: List[int]) -> int:
if nums[0] <= nums[-1]:
return nums[0]
left, right = 0, len(nums) - 1
while left < right:
mid = (left + right) >> 1
if nums[0] <= nums[mid]:
left = mid + 1
else:
right = mid
return nums[left]
class Solution {
public int findMin(int[] nums) {
int n = nums.length;
if (nums[0] <= nums[n - 1]) {
return nums[0];
}
int left = 0, right = n - 1;
while (left < right) {
int mid = (left + right) >> 1;
if (nums[0] <= nums[mid]) {
left = mid + 1;
} else {
right = mid;
}
}
return nums[left];
}
}
class Solution {
public:
int findMin(vector<int>& nums) {
int n = nums.size();
if (nums[0] <= nums[n - 1]) return nums[0];
int left = 0, right = n - 1;
while (left < right) {
int mid = (left + right) >> 1;
if (nums[0] <= nums[mid])
left = mid + 1;
else
right = mid;
}
return nums[left];
}
};
func findMin(nums []int) int {
n := len(nums)
if nums[0] <= nums[n-1] {
return nums[0]
}
left, right := 0, n-1
for left < right {
mid := (left + right) >> 1
if nums[0] <= nums[mid] {
left = mid + 1
} else {
right = mid
}
}
return nums[left]
}
function findMin(nums: number[]): number {
let left = 0;
let right = nums.length - 1;
while (left < right) {
const mid = (left + right) >>> 1;
if (nums[mid] > nums[right]) {
left = mid + 1;
} else {
right = mid;
}
}
return nums[left];
}
impl Solution {
pub fn find_min(nums: Vec<i32>) -> i32 {
let mut left = 0;
let mut right = nums.len() - 1;
while left < right {
let mid = left + (right - left) / 2;
if nums[mid] > nums[right] {
left = mid + 1;
} else {
right = mid;
}
}
nums[left]
}
}
/**
* @param {number[]} nums
* @return {number}
*/
var findMin = function (nums) {
let l = 0,
r = nums.length - 1;
if (nums[l] < nums[r]) return nums[0];
while (l < r) {
const m = (l + r) >> 1;
if (nums[m] > nums[r]) l = m + 1;
else r = m;
}
return nums[l];
};
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