Cutting a material

3.9

170 votes
Basic Math, Algorithms, Math
Problem

You are given a disk-shaped or circular material. Determine the maximum number of pieces in which the material can be cut into by using exactly N straight cuts.

You must perform the task for T tasks separately.

Input format

  • The first line contains T denoting the number of test cases.
  • Next T lines contain a single integer N.

Output format

Print T separate lines each containing answer for each test case.

Note: Use a 64-bit variable to store and read all the variables.

Constraints

1T1050N108

Time Limit: 1
Memory Limit: 256
Source Limit:
Explanation

For the first case where N = 0, using 0 cuts you can get a maximum of 1 piece of the material.

For the second case where N = 4, using exactly 4 straight cuts you can get 11 pieces of material.

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