We define a number n is good if and only if there exists x ∈ [n2+1,n2+2n] satisfy xn4 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

备注:

1≤ m≤ 101000