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1814. Count Nice Pairs in an Array

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

Solutions (Rust)

1. Solution

use std::collections::HashMap;

impl Solution {
    pub fn count_nice_pairs(nums: Vec<i32>) -> i32 {
        let mut count = HashMap::new();

        for &num in &nums {
            count
                .entry(num - Self::rev(num))
                .and_modify(|x| *x += 1)
                .or_insert(1_i64);
        }

        (count.into_values().map(|x| (x - 1) * x / 2).sum::<i64>() % 1_000_000_007) as i32
    }

    pub fn rev(x: i32) -> i32 {
        let mut x = x;
        let mut ret = 0;

        while x > 0 {
            ret = ret * 10 + x % 10;
            x /= 10;
        }

        ret
    }
}