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Minimum Element In A Sorted And Rotated Array Problem

Minimum Element In A Sorted And Rotated Array Problem Statement

Find the minimum element in an array that has been sorted in ascending order and rotated by an unknown pivot.

Example

{
"arr": [4, 5, 6, 7, 8, 1, 2, 3]
}

Output:

1

The array is sorted in the ascending order and right rotated by pivot 5. The minimum value 1 is at index 5.

Notes

Constraints:

  • 1 <= number of array elements <= 105
  • -109 <= any array element <= 109
  • Array elements are unique.

Code For Minimum Element In A Sorted And Rotated Array Solution: Binary Search

/*
Asymptotic complexity in terms of the size of the input list \`n\`:
* Time: O(log n).
* Auxiliary space: O(1).
* Total space: O(n).
*/

int find_minimum(vector<int> &arr) {
    if (arr.size() == 1) {
        return arr[0];
    }

    int left = 0, right = arr.size() - 1;
    if (arr[right] > arr[0]) {
        return arr[0];
    }

    // Binary search.
    while (right >= left) {
        int mid = left + (right - left) / 2;
        if (arr[mid] > arr[mid + 1]) {
            return arr[mid + 1];
        }
        if (arr[mid - 1] > arr[mid]) {
            return arr[mid];
        }
        if (arr[mid] > arr[0]) {
            left = mid + 1;
        }
        else {
            right = mid - 1;
        }
    }
    return -1;
}

We hope that these solutions to find minimum in rotated sorted array problem have helped you level up your coding skills. You can expect problems like these at top tech companies like Amazon and Google.

If you are preparing for a tech interview at FAANG or any other Tier-1 tech company, register for Interview Kickstart's FREE webinar to understand the best way to prepare.

Interview Kickstart offers interview preparation courses taught by FAANG+ tech leads and seasoned hiring managers. Our programs include a comprehensive curriculum, unmatched teaching methods, and career coaching to help you nail your next tech interview.

We offer 18 interview preparation courses, each tailored to a specific engineering domain or role, including the most in-demand and highest-paying domains and roles, such as:

‍To learn more, register for the FREE webinar.

Try yourself in the Editor

Note: Input and Output will already be taken care of.

Minimum Element In A Sorted And Rotated Array Problem

Minimum Element In A Sorted And Rotated Array Problem Statement

Find the minimum element in an array that has been sorted in ascending order and rotated by an unknown pivot.

Example

{
"arr": [4, 5, 6, 7, 8, 1, 2, 3]
}

Output:

1

The array is sorted in the ascending order and right rotated by pivot 5. The minimum value 1 is at index 5.

Notes

Constraints:

  • 1 <= number of array elements <= 105
  • -109 <= any array element <= 109
  • Array elements are unique.

Code For Minimum Element In A Sorted And Rotated Array Solution: Binary Search

/*
Asymptotic complexity in terms of the size of the input list \`n\`:
* Time: O(log n).
* Auxiliary space: O(1).
* Total space: O(n).
*/

int find_minimum(vector<int> &arr) {
    if (arr.size() == 1) {
        return arr[0];
    }

    int left = 0, right = arr.size() - 1;
    if (arr[right] > arr[0]) {
        return arr[0];
    }

    // Binary search.
    while (right >= left) {
        int mid = left + (right - left) / 2;
        if (arr[mid] > arr[mid + 1]) {
            return arr[mid + 1];
        }
        if (arr[mid - 1] > arr[mid]) {
            return arr[mid];
        }
        if (arr[mid] > arr[0]) {
            left = mid + 1;
        }
        else {
            right = mid - 1;
        }
    }
    return -1;
}

We hope that these solutions to find minimum in rotated sorted array problem have helped you level up your coding skills. You can expect problems like these at top tech companies like Amazon and Google.

If you are preparing for a tech interview at FAANG or any other Tier-1 tech company, register for Interview Kickstart's FREE webinar to understand the best way to prepare.

Interview Kickstart offers interview preparation courses taught by FAANG+ tech leads and seasoned hiring managers. Our programs include a comprehensive curriculum, unmatched teaching methods, and career coaching to help you nail your next tech interview.

We offer 18 interview preparation courses, each tailored to a specific engineering domain or role, including the most in-demand and highest-paying domains and roles, such as:

‍To learn more, register for the FREE webinar.

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