[编程题]div
We define a number n is good if and only if there exists x ∈ [n2+1,n2+2n] satisfy x|n4
Give a positive number m , you need to find the smallest good number no less than m


输入描述:
The first line has a positive integer m


输出描述:
Output the smallest good number no less than m
示例1

输入

4

输出

6

备注:
1≤ m≤ 101000

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