# Pizza cut problem (Or Circle Division by Lines)

• Difficulty Level : Easy
• Last Updated : 16 Jun, 2022

Given number of cuts, find the maximum number of possible pieces.
Examples:

```Input  : 2
Output : 4

Input  : 3
Output : 7```

This problem is nothing but The Lazy Caterer’s Problem and has below formula.
Maximum number of pieces = 1 + n*(n+1)/2
Refer this for proof.

## C++

 `// C++ program to find maximum no of pieces` `// by given number of cuts` `#include` `using` `namespace` `std;`   `// Function for finding maximum pieces` `// with n cuts.` `int` `findMaximumPieces(``int` `n)` `{` `   ``return` `1 + n*(n+1)/2;    ` `}`   `// Driver code` `int` `main()` `{` `   ``cout << findMaximumPieces(3);` `   ``return` `0;` `}`

## Java

 `// Java program to find maximum no of ` `// pieces by given number of cuts` `class` `GFG {` `    `  `    ``// Function for finding maximum pieces` `    ``// with n cuts.` `    ``static` `int` `findMaximumPieces(``int` `n) ` `    ``{` `        ``return` `1` `+ n * (n + ``1``) / ``2``; ` `    ``}` `    `  `    ``// Driver Program to test above function` `    ``public` `static` `void` `main(String arg[]) ` `    ``{` `        `  `        ``System.out.print(findMaximumPieces(``3``));` `    ``}` `}`   `// This code is contributed by Anant Agarwal.`

## Python3

 `# Python3 program to find maximum` `# no. of pieces by given` `# number of cuts`   `# Function for finding maximum` `# pieces with n cuts.` `def` `findMaximumPieces(n):` `    ``return` `int``(``1` `+` `n ``*` `(n ``+` `1``) ``/` `2``)`   `# Driver code` `print``(findMaximumPieces(``3``))`   `# This code is contributed 29AjayKumar`

## C#

 `// C# program to find maximum no of ` `// pieces by given number of cuts` `using` `System;`   `class` `GFG {` `     `  `    ``// Function for finding maximum pieces` `    ``// with n cuts.` `    ``static` `int` `findMaximumPieces(``int` `n) ` `    ``{` `        ``return` `1 + n * (n + 1) / 2; ` `    ``}` `     `  `    ``// Driver Program to test above function` `    ``public` `static` `void` `Main() ` `    ``{` `         `  `        ``Console.Write(findMaximumPieces(3));` `    ``}` `}` ` `  `// This code is contributed by nitin mittal.`

## PHP

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## Javascript

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Output:

`7`

Time Complexity: O(1)

Auxiliary Space: O(1)

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