题号：NC239346
时间限制：C/C++/Rust/Pascal 3秒，其他语言6秒
空间限制：C/C++/Rust/Pascal 256 M，其他语言512 M
Special Judge, 64bit IO Format: %lld
时间限制：C/C++/Rust/Pascal 3秒，其他语言6秒
空间限制：C/C++/Rust/Pascal 256 M，其他语言512 M
Special Judge, 64bit IO Format: %lld
题目描述
In a virtual world, namely Jianghu, there are 
Kungfu masters with their own unique skills. However, due to the lack of exercise, they were no longer skilled masters and were even getting fat! To deal with this problem, they decided to hold a Kungfu conference titled "let fat tension"(LFT, IF: 0.053), where they can deeply learn from each other to practice their skills.
The
-th Kungfu master has two attributes, which are the attribute of ability and the attribute of skill. The -th master's attribute of ability can be represented as a vector 
of length 
while his attribute of skill can be represented as a vector 
of length 
.
In the Kungfu conference, a master will deeply learn from every other Kungfu master to enhance their skills.
The learning efficiency between-th master and 
-th master is defined as )
, which is the cosine similarity between their attribute of ability and 
. Formally, we have:
%3D%5Cfrac%7BX_i%5Ccdot%20X_j%7D%7B%7CX_i%7C%7CX_j%7C%7D)
where "
" denotes dot-product between two vectors and "
" denotes the magnitude of a vector. Note that %3D1)
always holds.
After deeply learning from others, the-th master's attribute of skill will become:
*Y_j)
The learning process for Kungfu masters happens simultaneously.
Please calculate the new attribute of skill for all Kungfu master.
Supplementary material:
The dot-product of two vectors
and 
with length 
is defined as 
.
The magnitude of a vector with length is defined as 
.
The
In the Kungfu conference, a master will deeply learn from every other Kungfu master to enhance their skills.
The learning efficiency between
where "
After deeply learning from others, the
The learning process for
Please calculate the new attribute of skill for all Kungfu master.
Supplementary material:
The dot-product of two vectors
The magnitude of a vector
输入描述:
The first line contains three integers------ the number of Kungfu masters, the length of
In the following
In the following
It's guaranteed that the number in bothand
.
输出描述:
Your output should contain.
Your answer is considered correct if its absolute or relative error does not exceed.
Formally, let your answer be, and the jury's answer be
. Your answer is accepted if and only if
.