P20949 [GeeksforGeeks] The modulo task1736
普及-
题目描述

Given an integer N. FInd an integer K for which N%K is the largest ( 1 <= K < N).

Example 1:
Input:
N = 3
Output:
2
Explanation:
3%1 = 0
3%2 = 1
So, the modulo is highest for 2.
Example 2:
Input:
N = 4
Output:
3
Explanation:
4%1 = 0
4%2 = 0
4%3 = 1
So, the modulo is highest for 3.

Your Task:
You don't need to read input or print anything. Your task is to complete the function modTask() which takes a Integer N as input and returns an integer K(1 <= K < N) for which N%K is largest.

Expected Time Complexity: O(1)
Expected Auxiliary Space: O(1)

Constraints:
1 <= N <= 10^{18}

输入格式

见题面

输出格式

见题面

样例输入
N = 3
样例输出
2