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1814. Count Nice Pairs in an Array

Difficulty Topics

Description

You are given an array nums that consists of non-negative integers. Let us define rev(x) as the reverse of the non-negative integer x. For example, rev(123) = 321, and rev(120) = 21. A pair of indices (i, j) is nice if it satisfies all of the following conditions:

  • 0 <= i < j < nums.length
  • nums[i] + rev(nums[j]) == nums[j] + rev(nums[i])

Return the number of nice pairs of indices. Since that number can be too large, return it modulo 109 + 7.

 

Example 1:

Input: nums = [42,11,1,97]
Output: 2
Explanation: The two pairs are:
 - (0,3) : 42 + rev(97) = 42 + 79 = 121, 97 + rev(42) = 97 + 24 = 121.
 - (1,2) : 11 + rev(1) = 11 + 1 = 12, 1 + rev(11) = 1 + 11 = 12.

Example 2:

Input: nums = [13,10,35,24,76]
Output: 4

 

Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 109

Solution

count-nice-pairs-in-an-array.py
class Solution:
    def countNicePairs(self, nums: List[int]) -> int:
        count = Counter(num - int(str(num)[::-1]) for num in nums)

        return sum((c * (c-1) // 2) for c in count.values()) % (10 ** 9 + 7)