#K37342. Maximum Light Bulbs On in a Chandelier
Maximum Light Bulbs On in a Chandelier
Maximum Light Bulbs On in a Chandelier
You are given an integer N
representing the number of rows in a chandelier. The chandelier is designed such that the number of light bulbs that can be turned on is maximized when the bulbs are arranged in a triangular pattern. The total number of light bulbs that can be turned on is given by the formula:
\(\frac{N(N+1)}{2}\)
Your task is to compute this value given N
.
Example: When N = 3
, the maximum number of light bulbs that can be on is \(\frac{3(3+1)}{2} = 6\).
inputFormat
The input consists of a single integer N
provided via stdin.
Constraints: 1 ≤ N ≤ 105 (or possibly larger based on the problem context).
outputFormat
Output a single integer representing the maximum number of light bulbs that can be turned on, computed by the formula:
\(\frac{N(N+1)}{2}\)
The result should be printed to stdout.
## sample1
1