Find Minimum in Rotated Sorted Array
Problem statement
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 rotated4times.[0,1,2,4,5,6,7]if it was rotated7times.
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: 1Explanation: The original array was [1,2,3,4,5] rotated 3 times.
Example 2:
Input: nums = [4,5,6,7,0,1,2]Output: 0Explanation: 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: 11Explanation: The original array was [11,13,15,17] and it was rotated 4 times.
Constraints:
n == nums.length1 <= n <= 5000-5000 <= nums[i] <= 5000- All the integers of
numsare unique. numsis sorted and rotated between1andntimes.
My solution
/**
* @param {number[]} nums
* @return {number}
*/
var findMin = function(nums) {
const len = nums.length;
if (len === 1) {
return nums[0]
}
let left = 0;
let right = len - 1;
while (left < right) {
const mid = Math.floor((right + left) / 2);
const num = nums[mid];
const lNum = nums[left];
const rNum = nums[right];
if (num > lNum && num > rNum) {
if (lNum < rNum) {
right = mid - 1
} else {
left = mid + 1;
}
} else {
if (num > nums[mid + 1]) {
left = mid + 1
} else {
right = mid;
}
}
}
return nums[left];
};