4968: Harmony Analysis
内存限制：256 MB
时间限制：2 S
题面：传统
评测方式：文本比较
上传者：
提交：4
通过：0
题目描述
C. Harmony Analysis
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
The semester is already ending, so Danil made an effort and decided to visit a lesson on harmony analysis to know how does the professor look like, at least. Danil was very bored on this lesson until the teacher gave the group a simple task: find 4 vectors in 4-dimensional space, such that every coordinate of every vector is 1 or -1 and any two vectors are orthogonal. Just as a reminder, two vectors in n-dimensional space are considered to be orthogonal if and only if their scalar product is equal to zero, that is:
.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
.
Danil quickly managed to come up with the solution for this problem and the teacher noticed that the problem can be solved in a more general case for 2k vectors in 2k-dimensinoal space. When Danil came home, he quickly came up with the solution for this problem. Can you cope with it?
Input
The only line of the input contains a single integer k (0≤k≤9).
Output
Print 2k lines consisting of 2k characters each. The j-th character of the i-th line must be equal to '*' if the j-th coordinate of the i-th vector is equal to -1, and must be equal to '+' if it's equal to +1. It's guaranteed that the answer always exists. If there are many correct answers, print any.
Examples
Input
2
Output
++** +*+* ++++ +**+
Note
Consider all scalar products in example: - Vectors 1 and 2: (+1)·(+1)+(+1)·(-1)+(-1)·(+1)+(-1)·(-1)=0
- Vectors 1 and 3: (+1)·(+1)+(+1)·(+1)+(-1)·(+1)+(-1)·(+1)=0
- Vectors 1 and 4: (+1)·(+1)+(+1)·(-1)+(-1)·(-1)+(-1)·(+1)=0
- Vectors 2 and 3: (+1)·(+1)+(-1)·(+1)+(+1)·(+1)+(-1)·(+1)=0
- Vectors 2 and 4: (+1)·(+1)+(-1)·(-1)+(+1)·(-1)+(-1)·(+1)=0
- Vectors 3 and 4: (+1)·(+1)+(+1)·(-1)+(+1)·(-1)+(+1)·(+1)=0
输入样例 复制
输出样例 复制