1711. Count Good Meals

Problem Link

Description

---

A good meal is a meal that contains exactly two different food items with a sum of deliciousness equal to a power of two.

You can pick any two different foods to make a good meal.

Given an array of integers deliciousness where deliciousness[i] is the deliciousness of the i​​​​​​th​​​​​​​​ item of food, return the number of different good meals you can make from this list modulo 109 + 7.

Note that items with different indices are considered different even if they have the same deliciousness value.

 

Example 1:

Input: deliciousness = [1,3,5,7,9]
Output: 4
Explanation: The good meals are (1,3), (1,7), (3,5) and, (7,9).
Their respective sums are 4, 8, 8, and 16, all of which are powers of 2.

Example 2:

Input: deliciousness = [1,1,1,3,3,3,7]
Output: 15
Explanation: The good meals are (1,1) with 3 ways, (1,3) with 9 ways, and (1,7) with 3 ways.

 

Constraints:

• 1 <= deliciousness.length <= 105
• 0 <= deliciousness[i] <= 220

Solution

---

Python3

class Solution:
    def countPairs(self, A: List[int]) -> int:
        M = 10 ** 9 + 7
        res = 0
        mp = Counter(A)
        
        for i in range(22):
            p = 1 << i
            for v in mp:
                target = p - v
                if v == target:
                    res += mp[v] * (mp[v]-1)
                else:
                    res += mp[v] * mp[target]
        
        res //= 2
        
        return res % M