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#F2777. Clear Symmetry

    ID: 2783 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 5 上传者: 标签>构造动态规划数学算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Clear Symmetry

题目描述

A. Clear Symmetry
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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 Ai,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,jn) both of the following conditions must be met: Ai,j=An-i+1,j and Ai,j=Ai,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:


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2445 题。保留原作者与原赛事署名。