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// @link Problem definition [[docs/hackerrank/projecteuler/euler001.md]]

namespace algorithm_exercises_csharp.hackerrank.prohecteuler;

using System.Diagnostics.CodeAnalysis;
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# [Multiples of 3 and 5](https://www.hackerrank.com/contests/projecteuler/challenges/euler001)

- Difficulty: #easy
- Category: #ProjectEuler+

If we list all the natural numbers below $ 10 $ that are multiples of
$ 3 $ or $ 5 $, we get $ 3, 5, 6 $ and $ 9 $.
The sum of these multiples
is $ 23 $.

Find the sum of all the multiples of $ 3 $ or $ 5 $ below $ N $.

## Input Format

First line contains $ T $ that denotes the number of test cases.
This is followed by $ T $ lines, each containing an integer, $ N $.

## Constraints

- 1 $ \leq T \leq 10^5 $
- 1 $ \leq N \leq 10^9 $

## Output Format

For each test case, print an integer that denotes the sum of all the multiples
of $ 3 $ or $ 5 $ below $ N $.

## Sample Input 0

```text
2
10
100
```

## Sample Output 0

```text
23
2318
```

## Explanation 0

For $ N = 10 $, if we list all the natural numbers below $ 10 $ that are
multiples of $ 3 $ or $ 5 $, we get $ 3, 5, 6 $ and $ 9 $.
The sum of these multiples is $ 23 $.

Similarly for $ N = 100 $, we get $ 2318 $.