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A. Clear Symmetry

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputConsider 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 and/or 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*.

Input

The only line contains a single integer *x* (1 ≤ *x* ≤ 100) — the required sharpness of the matrix.

Output

Print a single number — the sought value of *n*.

Examples

Input

4

Output

3

Input

9

Output

5

Note

The figure below shows the matrices that correspond to the samples:

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

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