Softmax Regression
题号:NC207635
时间限制:C/C++/Rust/Pascal 1秒,其他语言2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

Softmax function is a widely used model in the multi-class classification problem. Assuming that you have an array V, the length of V is n, Vi is the i-th element of the V, So the softmax-value of this Vi  is

Now given an array V, and please compute the softmax-value of all of V. The results should keep 6 decimal places.

输入描述:

There are 2 lines. The first line is n(1<=n<=1000), the length of the array, the second line has n integers, are Vi(0<=Vi<10).

输出描述:

Output 1 line, the softmax-value of V, The results should keep 6 decimal places.

示例1

输入

复制
4
9 8 3 1

输出

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0.729558 0.268389 0.001808 0.000245
示例2

输入

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2
2 7

输出

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0.006693 0.993307