Can you solve this equation?
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Can you solve this equation?
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1308 Accepted Submission(s): 621Problem 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.
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
2100-4
Sample Output
1.6152No solution!
一道简单的二分,注意上下线的关系就行了
#include<cmath>#include <iostream>#include<stdio.h>using namespace std;double gg(double x){ return 8*pow(x,4)+7*pow(x,3)+2*pow(x,2)+3*x+6; }int main(){ int t; double n; cin>>t; while(t--) { cin>>n; double low=0,high=100,mid; if(gg(0)>n||gg(100)<n) cout<<"No solution!"<<endl; else { while(high-low>1e-10) { mid=(high+low)/2; if(gg(mid)<n) low=mid; else high=mid; } printf("%.4lf\n",mid); } } return 0;}
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