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34. Find First and Last Position of Element in Sorted Array

Given an array of integers nums sorted in non-decreasing order, find the starting and ending position of a given target value.

If target is not found in the array, return [-1, -1].

You must write an algorithm with O(log n) runtime complexity.

Example 1:

Input: nums = [5,7,7,8,8,10], target = 8
Output: [3,4]

Example 2:

Input: nums = [5,7,7,8,8,10], target = 6
Output: [-1,-1]

Example 3:

Input: nums = [], target = 0
Output: [-1,-1]

Constraints:

  • 0 <= nums.length <= 105
  • -109 <= nums[i] <= 109
  • nums is a non-decreasing array.
  • -109 <= target <= 109

Solutions (Rust)

1. Solution

impl Solution {
    pub fn search_range(nums: Vec<i32>, target: i32) -> Vec<i32> {
        if nums.is_empty() {
            return vec![-1, -1];
        }

        let n = nums.len();
        let mut left = 0;
        let mut right = n - 1;
        let mut ret = vec![-1, -1];

        while left < right {
            let mid = (left + right) / 2;

            if nums[mid] < target {
                left = mid + 1;
            } else {
                right = mid;
            }
        }

        if nums[left] != target {
            return vec![-1, -1];
        }

        ret[0] = left as i32;
        left = 0;
        right = n - 1;

        while left < right {
            let mid = (left + right + 1) / 2;

            if nums[mid] <= target {
                left = mid;
            } else {
                right = mid - 1;
            }
        }

        ret[1] = left as i32;

        ret
    }
}