{ "data": { "question": { "questionId": "1830", "questionFrontendId": "1711", "categoryTitle": "Algorithms", "boundTopicId": 543102, "title": "Count Good Meals", "titleSlug": "count-good-meals", "content": "

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

\n\n

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

\n\n

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.

\n\n

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

\n\n

 

\n

Example 1:

\n\n
\nInput: deliciousness = [1,3,5,7,9]\nOutput: 4\nExplanation: The good meals are (1,3), (1,7), (3,5) and, (7,9).\nTheir respective sums are 4, 8, 8, and 16, all of which are powers of 2.\n
\n\n

Example 2:

\n\n
\nInput: deliciousness = [1,1,1,3,3,3,7]\nOutput: 15\nExplanation: The good meals are (1,1) with 3 ways, (1,3) with 9 ways, and (1,7) with 3 ways.
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "大餐计数", "translatedContent": "

大餐 是指 恰好包含两道不同餐品 的一餐,其美味程度之和等于 2 的幂。

\n\n

你可以搭配 任意 两道餐品做一顿大餐。

\n\n

给你一个整数数组 deliciousness ,其中 deliciousness[i] 是第 i​​​​​​​​​​​​​​ 道餐品的美味程度,返回你可以用数组中的餐品做出的不同 大餐 的数量。结果需要对 109 + 7 取余。

\n\n

注意,只要餐品下标不同,就可以认为是不同的餐品,即便它们的美味程度相同。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:deliciousness = [1,3,5,7,9]\n输出:4\n解释:大餐的美味程度组合为 (1,3) 、(1,7) 、(3,5) 和 (7,9) 。\n它们各自的美味程度之和分别为 4 、8 、8 和 16 ,都是 2 的幂。\n
\n\n

示例 2:

\n\n
\n输入:deliciousness = [1,1,1,3,3,3,7]\n输出:15\n解释:大餐的美味程度组合为 3 种 (1,1) ,9 种 (1,3) ,和 3 种 (1,7) 。
\n\n

 

\n\n

提示:

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