81. Search in Rotated Sorted Array II LeetCode Solution

In this guide, you will get 81. Search in Rotated Sorted Array II LeetCode Solution with the best time and space complexity. The solution to Search in Rotated Sorted Array II problem is provided in various programming languages like C++, Java, and Python. This will be helpful for you if you are preparing for placements, hackathons, interviews, or practice purposes. The solutions provided here are very easy to follow and include detailed explanations.

Table of Contents

  1. Problem Statement
  2. Complexity Analysis
  3. Search in Rotated Sorted Array II solution in C++
  4. Search in Rotated Sorted Array II solution in Java
  5. Search in Rotated Sorted Array II solution in Python
  6. Additional Resources
81. Search in Rotated Sorted Array II LeetCode Solution image

Problem Statement of Search in Rotated Sorted Array II

There is an integer array nums sorted in non-decreasing order (not necessarily with distinct values).
Before being passed to your function, nums is rotated at an unknown pivot index k (0 <= k < nums.length) such that the resulting array is [nums[k], nums[k+1], …, nums[n-1], nums[0], nums[1], …, nums[k-1]] (0-indexed). For example, [0,1,2,4,4,4,5,6,6,7] might be rotated at pivot index 5 and become [4,5,6,6,7,0,1,2,4,4].
Given the array nums after the rotation and an integer target, return true if target is in nums, or false if it is not in nums.
You must decrease the overall operation steps as much as possible.

Example 1:
Input: nums = [2,5,6,0,0,1,2], target = 0
Output: true
Example 2:
Input: nums = [2,5,6,0,0,1,2], target = 3
Output: false

Constraints:

1 <= nums.length <= 5000
-104 <= nums[i] <= 104
nums is guaranteed to be rotated at some pivot.
-104 <= target <= 104

See also  129. Sum Root to Leaf Numbers LeetCode Solution

Follow up: This problem is similar to Search in Rotated Sorted Array, but nums may contain duplicates. Would this affect the runtime complexity? How and why?

Complexity Analysis

  • Time Complexity: O(\log n) \to O(n)
  • Space Complexity: O(1)

81. Search in Rotated Sorted Array II LeetCode Solution in C++

class Solution {
 public:
  bool search(vector<int>& nums, int target) {
    int l = 0;
    int r = nums.size() - 1;

    while (l <= r) {
      const int m = (l + r) / 2;
      if (nums[m] == target)
        return true;
      if (nums[l] == nums[m] && nums[m] == nums[r]) {
        ++l;
        --r;
      } else if (nums[l] <= nums[m]) {  // nums[l..m] are sorted
        if (nums[l] <= target && target < nums[m])
          r = m - 1;
        else
          l = m + 1;
      } else {  // nums[m..n - 1] are sorted
        if (nums[m] < target && target <= nums[r])
          l = m + 1;
        else
          r = m - 1;
      }
    }

    return false;
  }
};
/* code provided by PROGIEZ */

81. Search in Rotated Sorted Array II LeetCode Solution in Java

class Solution {
  public boolean search(int[] nums, int target) {
    int l = 0;
    int r = nums.length - 1;

    while (l <= r) {
      final int m = (l + r) / 2;
      if (nums[m] == target)
        return true;
      if (nums[l] == nums[m] && nums[m] == nums[r]) {
        ++l;
        --r;
      } else if (nums[l] <= nums[m]) { // nums[l..m] are sorted
        if (nums[l] <= target && target < nums[m])
          r = m - 1;
        else
          l = m + 1;
      } else { // nums[m..n - 1] are sorted
        if (nums[m] < target && target <= nums[r])
          l = m + 1;
        else
          r = m - 1;
      }
    }

    return false;
  }
}
// code provided by PROGIEZ

81. Search in Rotated Sorted Array II LeetCode Solution in Python

class Solution:
  def search(self, nums: list[int], target: int) -> bool:
    l = 0
    r = len(nums) - 1

    while l <= r:
      m = (l + r) // 2
      if nums[m] == target:
        return True
      if nums[l] == nums[m] == nums[r]:
        l += 1
        r -= 1
      elif nums[l] <= nums[m]:  # nums[l..m] are sorted
        if nums[l] <= target < nums[m]:
          r = m - 1
        else:
          l = m + 1
      else:  # nums[m..n - 1] are sorted
        if nums[m] < target <= nums[r]:
          l = m + 1
        else:
          r = m - 1

    return False
# code by PROGIEZ

Additional Resources

See also  101. Symmetric Tree LeetCode Solution

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