Strange fuction

Now, here is a fuction: F(x) = 6 * x^7+8*x^6+7*x^3+5*x^2-y*x (0 <= x <=100) Can you find the minimum value when x is between 0 and 100.

Input

The first line of the input contains an integer T(1<=T<=100) which means the number of test cases. Then T lines follow, each line has only one real numbers Y.(0 < Y <1e10)

Output

Just the minimum value (accurate up to 4 decimal places),when x is between 0 and 100.

Sample Input

2 100 200

Sample Output

-74.4291 -178.8534

這題有兩個(gè)思路，都需要一點(diǎn)數(shù)學(xué) 一個(gè)思路是可以明顯看出這個(gè)函數(shù)在[0,100]上是一個(gè)凹函數(shù)，那么由此可以使用三分 另一個(gè)思路是利用最值點(diǎn)導(dǎo)數(shù)值為0這一性質(zhì)，于是我們也可以采用二分 我用的是后一種思路，不多說(shuō)直接上代碼吧

代碼