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Now, here is a fuction:
F(x) = 6 * x ^ 7+8x^ 6+ 7x ^ 3+5x^2-yx (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 Input2100200
Sample Output
-74.4291-178.8534
解题思路:这个题就是给一个函数式,然后由x在区间0-100之间取值求最小值。 利用函数求导为:42*x^6+48 *x ^5+21 *x^2+10 *x-y==0,利用二分求x的值,使倒数为0,则函数值最小。
#include#include double l=0.00000001;int main(){ double x,m,n,k,y,sum; int T; scanf("%d",&T); while(T--) { scanf("%lf",&y); n=0.00; m=100.00;//x的区间是0-100 while(m-n>l)//让n和m无限接近,使得导函数为0 { k=(m+n)/2; if(42*pow(k,6)+48*pow(k,5)+21*pow(k,2)+10*k-y>0) m=k; else n=k; } sum=6*pow(k,7)+8*pow(k,6)+7*pow(k,3)+5*pow(k,2)-y*k; printf("%.4f\n",sum); } return 0;}
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