Consider some square matrix A with side n consisting of zeros and ones. There are n rows numbered from 1 to n from top to bottom and n columns numbered from 1 to n from left to right in this matrix. We'll denote the element of the matrix which is located at the intersection of the i -row and the j -th column as A i, j . Let's call matrix A clear if no two cells containing ones have a common side. Let's call matrix A symmetrical if it matches the matrices formed from it by a horizontal andor a vertical reflection. Formally, for each pair (i, j) (1 ≤ i, j ≤ n) both of the following conditions must be met: A i, j = A n - i + 1, j and A i, j = A i, n - j + 1 . Let's define the sharpness of matrix A as the number of ones in it. Given integer x , your task is to find the smallest positive integer n such that there exists a clear symmetrical matrix A with side n and sharpness x .
输入描述:
The only line contains a single integer x (1 ≤ x ≤ 100) — the required sharpness of the matrix.


输出描述:
Print a single number — the sought value of n.
示例1

输入

4
9

输出

3
5

备注:
The figure below shows the matrices that correspond to the samples:
加载中...