Factorial vs Power

题意

输入a，找到满足n!>a^n 最小的n。

数据

第一行T(1 <= T <= 1e5)，表示测试样例数.(2 <= a <= 1e6)。

输入

输出

这个东西一看就知道是二分求解的，但是我们还是不知道怎么求的，我们可以吧他们取对数然后我们很惊奇的发现原来真的是取对数啊，

最后原来的式子就变成了这个样子。。。

[ln(1)+ln(2)+ln(3)+....+ln(n)]>n*lna

然后因为ln(n)为正数所以我们就把ln(n)除过去，大不了我们n=1的时候特判一下啊。。。然后我们求一下导数，然后发现导数我不会求啊，所以我们只能两个式子相减然后发现这个东西真的是单调递增的啊。。。‘

时间： 2024-08-23 11:10:34

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