【HD 2199】Can you solve this equation?
3724 ワード
Can you solve this equation?
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 16574 Accepted Submission(s): 7358
Problem Description Now,given the equation 8*x^4 + 7*x^3 + 2*x^2 + 3*x + 6 == Y,can you find its solution between 0 and 100; Now please try your lucky.
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 a real number Y (fabs(Y) <= 1e10);
Output For each test case, you should just output one real number(accurate up to 4 decimal places),which is the solution of the equation,or “No solution!”,if there is no solution for the equation between 0 and 100.
Sample Input 2 100 -4
Sample Output 1.6152 No solution!
Author Redow
Recommend lcy | We have carefully selected several similar problems for you: 2899 2289 2298 2141 3400
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簡単な二分問題で,Yを与え,方程式を与え,forの代わりに二分を用いてxに近づき,最後にxの値を見つけた.最初の2点問題は,記念に残しておく.
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コード:
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others) Total Submission(s): 16574 Accepted Submission(s): 7358
Problem Description Now,given the equation 8*x^4 + 7*x^3 + 2*x^2 + 3*x + 6 == Y,can you find its solution between 0 and 100; Now please try your lucky.
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 a real number Y (fabs(Y) <= 1e10);
Output For each test case, you should just output one real number(accurate up to 4 decimal places),which is the solution of the equation,or “No solution!”,if there is no solution for the equation between 0 and 100.
Sample Input 2 100 -4
Sample Output 1.6152 No solution!
Author Redow
Recommend lcy | We have carefully selected several similar problems for you: 2899 2289 2298 2141 3400
————————————————————————————————————————
簡単な二分問題で,Yを与え,方程式を与え,forの代わりに二分を用いてxに近づき,最後にxの値を見つけた.最初の2点問題は,記念に残しておく.
——————————————————————————————————————
コード:
#include<cstdio>
#include<algorithm>
#include<cmath>
using namespace std;
//8* X^4+ 7* X^3+ 2* X^2+ 3 * X +6= Y
double st( double x)
{
return 8*pow(x,4)+7*pow(x,3)+2*pow(x,2)+3*x+6;
}
int main()
{
int t,k;
double l,r;
double Y,mid;
scanf("%d",&t);
while( t-- )
{
l=0;r=100,mid=0;
scanf("%lf",&Y);
if( Y<st(0) || Y>st(100) )
{
printf("No solution!
");
continue;
}
else
{
int SCA = 1000;
while( SCA -- )
{
mid=(r+l)/2.0;
if( st(mid)>Y )
{
r=mid;
}
else
l=mid;
}
printf("%.4lf
",l);
}
}
return 0;
}