Pizza cut problem (Or Circle Division by Lines)

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<bits/stdc++.h>` `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

`<?php` `// PHP program to find maximum` `// no. of pieces by given` `// number of cuts` `// Function for finding maximum` `// pieces with n cuts.` `function` `findMaximumPieces(` `$n` `)` `{` ` ` `return` `1 + ` `$n` `* (` `$n` `+ 1) / 2;` `}` `// Driver code` `echo` `findMaximumPieces(3);` `// This code is contributed by nitin mittal.` `?>` |

## Javascript

`<script>` `// Javascript program to find maximum no of pieces` `// by given number of cuts` `// Function for finding maximum pieces` ` ` `// with n cuts.` ` ` `function` `findMaximumPieces(n)` ` ` `{` ` ` `return` `1 + n * (n + 1) / 2;` ` ` `}` `// Driver Code` ` ` `document.write(findMaximumPieces(3));` `</script>` |

**Output:**

7

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