Minimum in a Rotated Sorted Array

medium binary search rotated array

Problem

An array of distinct values was originally sorted ascending and then rotated. Return the smallest value.

Inputnums = [4,5,6,7,0,1,2]
Output0
Compare nums[mid] with nums[hi]: if nums[mid] > nums[hi], the pivot lies to the right of mid; otherwise it is at or before mid.

def find_min(nums):
    lo, hi = 0, len(nums) - 1
    while lo < hi:
        mid = (lo + hi) // 2
        if nums[mid] > nums[hi]:
            lo = mid + 1
        else:
            hi = mid
    return nums[lo]
function findMin(nums) {
  let lo = 0, hi = nums.length - 1;
  while (lo < hi) {
    const mid = (lo + hi) >> 1;
    if (nums[mid] > nums[hi]) lo = mid + 1;
    else hi = mid;
  }
  return nums[lo];
}
class Solution {
    public int findMin(int[] nums) {
        int lo = 0, hi = nums.length - 1;
        while (lo < hi) {
            int mid = (lo + hi) >>> 1;
            if (nums[mid] > nums[hi]) lo = mid + 1;
            else hi = mid;
        }
        return nums[lo];
    }
}
int findMin(vector<int>& nums) {
    int lo = 0, hi = (int) nums.size() - 1;
    while (lo < hi) {
        int mid = (lo + hi) / 2;
        if (nums[mid] > nums[hi]) lo = mid + 1;
        else hi = mid;
    }
    return nums[lo];
}
Time: O(log n) Space: O(1)