Problem Description Given a positive integer N,y

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Problem Description Given a positive integer N,y
Problem Description
Given a positive integer N,you should output the leftmost digit of N^N.
Input
The input contains several test cases.The first line of the input is a single integer T which is the number of test cases.T test cases follow.
Each test case contains a single positive integer N(1

大概的意思就是输入整形n,带入x的表达式求出x,再调用函数floor(x)以及pow函数求出最高位数字a,最后输出a的值
再问：那为什么要先求x=n*log(10)n,再求a=pow(10,x-floor(x))?
我有点疑惑，这样有什么意义？

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