Sunday, October 4, 2020

LeetCode [1608] Special Array With X Elements Greater Than or Equal X

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

Easy

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
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class Solution {
    public int specialArray(int[] nums) {
        int n = nums.length, l = 0, r = n-1;
        Arrays.sort(nums);
        while(l<=r){
            int m = (l+r)/2;
           // System.out.println(l+" "+m+" "+r);
            int x = n-m;
            if(nums[m]>=x && (m==0 || nums[m-1]<x)) return x;
            if(nums[m]<x){
                l = m+1;
            }else{
                r = m-1;
            }
        }
        return -1;
    }
}

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