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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`

item of food, return ^{th}*the number of different good meals you can make from this list modulo*

`10`^{9} + 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:4Explanation: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:15Explanation:The good meals are (1,1) with 3 ways, (1,3) with 9 ways, and (1,7) with 3 ways.

**Constraints:**

`1 <= deliciousness.length <= 10`

^{5}`0 <= deliciousness[i] <= 2`

^{20}