Maximum Transplants

You are given an integer N representing the size of a square grid (an N x N grid). You need to determine the maximum number of transplants that can be planted in the grid such that no two transplants have overlapping roots.

It is guaranteed that when a transplant is planted in a cell, its root system prevents another transplant from being planted in the adjacent cells in a way that they would overlap. After careful observation, you can deduce that the maximum number of transplants that can be planted follows the formula:

$$\lceil N/2 \rceil$$

Given this, your task is to output the maximum number of transplants for a given N.

inputFormat

The input consists of a single integer N (1 \le N \le 10^9), which is provided via standard input.

outputFormat

Output a single integer representing the maximum number of transplants that can be planted on the grid, computed as \lceil N/2 \rceil.

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