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1608. Special Array With X Elements Greater Than or Equal X

You are given an array nums of non-negative integers. nums is considered special if there exists a number x such that there are exactly x numbers in nums that are greater than or equal to x.

Notice that x does not have to be an element in nums.

Return x if the array is special, otherwise, return -1. It can be proven that if nums is special, the value for x is unique.

Example 1:

Input: nums = [3,5]
Output: 2
Explanation: There are 2 values (3 and 5) that are greater than or equal to 2.

Example 2:

Input: nums = [0,0]
Output: -1
Explanation: No numbers fit the criteria for x.
If x = 0, there should be 0 numbers >= x, but there are 2.
If x = 1, there should be 1 number >= x, but there are 0.
If x = 2, there should be 2 numbers >= x, but there are 0.
x cannot be greater since there are only 2 numbers in nums.

Example 3:

Input: nums = [0,4,3,0,4]
Output: 3
Explanation: There are 3 values that are greater than or equal to 3.

Example 4:

Input: nums = [3,6,7,7,0]
Output: -1

Constraints:

  • 1 <= nums.length <= 100
  • 0 <= nums[i] <= 1000

Solutions (Rust)

1. Sort

impl Solution {
    pub fn special_array(mut nums: Vec<i32>) -> i32 {
        nums.sort_unstable_by(|a, b| b.cmp(a));

        for x in 1..=nums.len() {
            if nums[x - 1] >= x as i32 && (x == nums.len() || nums[x] < x as i32) {
                return x as i32;
            }
        }

        -1
    }
}