# Packaging Cupcakes – CodeChef Solution

What’s up coders, today we are going to solve Packaging Cupcakes CodeChef Solution whose Problem code is MUFFINS3.

## Problem

Now that Chef has finished baking and frosting his cupcakes, it’s time to package them. Chef hasÂ NÂ cupcakes, and needs to decide how many cupcakes to place in each package. Each package must contain the same number of cupcakes. Chef will choose an integerÂ AÂ between 1 andÂ N, inclusive, and place exactlyÂ AÂ cupcakes into each package. Chef makes as many packages as possible. Chef then gets to eat the remaining cupcakes. Chef enjoys eating cupcakes very much. Help Chef choose the package sizeÂ AÂ that will let him eat as many cupcakes as possible.

## Input

Input begins with an integerÂ T, the number of test cases. Each test case consists of a single integerÂ N, the number of cupcakes.

## Output

For each test case, output the package size that will maximize the number of leftover cupcakes. If multiple package sizes will result in the same number of leftover cupcakes, print the largest such size.

## Constraints

• 1 <= T <= 1000
• 2 <= N <= 100000000

Sample Input

```2
2
5```

Sample Output

```2
3```

Explanation

In the first test case, there will be no leftover cupcakes regardless of the size Chef chooses, so he chooses the largest possible size. In the second test case, there will be 2 leftover cupcakes.

## Solution – Packaging Cupcakes – CodeChef Solution

### Python 3

```#Solution Provided by CodingBroz
T = int(input())
for i in range(T):
n = int(input())
print((n // 2) + 1)```

Disclaimer: The above Problem (Packaging Cupcakes) is generated by CodeChef but the Solution is provided by CodingBroz. This tutorial is only for Educational and Learning purpose.