Bestcoder round 18-B 문제(1 원 3 차 방정식 확정 구간 의 최대 값(극치 비교 포함)

2671 단어 round
Math Problem
Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 0    Accepted Submission(s): 0
Problem Description
Here has an function:
  
f(x)=|a∗x3+b∗x2+c∗x+d|(L≤x≤R)Please figure out the maximum result of f(x).
 
Input
Multiple test cases(less than 100). For each test case, there will be only 1 line contains 6 numbers a, b, c, d, L and R.
(−10≤a,b,c,d≤10,−100≤L≤R≤100)
 
Output
For each test case, print the answer that was rounded to 2 digits after decimal point in 1 line.
 
Sample Input
1.00 2.00 3.00 4.00 5.00 6.00
 
Sample Output
310.00
 
 
코드:
#include <math.h>

#include <string.h>

#include <stdio.h>

#include <iostream>

#include <string>

#include <algorithm>



using namespace std;



// f(x)=|a∗x3+b∗x2+c∗x+d|(L≤x≤R)



int main()

{

    double a, b, c, d, ll, r;

    double mm, dd, ff;

    double gg, hh;



    while(cin>>a)

    {

        cin>>b>>c>>d>>ll>>r;



        dd=(a*pow(ll, 3.0)+b*pow(ll, 2.0)+c*ll+d);

        if(dd<0)

          dd=-dd;

        ff=(a*pow(r, 3.0)+b*pow(r, 2.0)+c*r+d);

        if(ff<0)

          ff=-ff;

        mm=max(dd, ff);



        if((4*b*b - 12*a*c)<0)

        {

            //  

            printf("%.2lf
", mm); continue; } else if( (4*b*b - 12*a*c)==0 ) { // if( (-(b)/(3*a))>=ll && (-(b)/(3*a))<=r ) { gg=-1*(b/3*a); hh=a*pow(gg,3)+b*pow(gg, 2)+c*gg+d; if(hh<0) hh=-hh; if(hh>mm) mm=hh; printf("%.2lf
", mm); continue; } } else { // 2 gg=(-b+sqrt(b*b-4*a*c))/2*a; if( gg>=ll && gg<=r ) { double q; q=a*pow(gg,3)+b*pow(gg, 2)+c*gg+d; if(q<0) q=-q; if(q>mm) mm=q; } hh=(-b*sqrt(b*b-4*a*c))/2*a; if(hh>=ll && hh<=r) { double w; w=a*pow(hh,3)+b*pow(hh, 2)+c*hh+d; if(w<0) w=-w; if(w>mm) mm=w; } printf("%.2lf
", mm); } } return 0; }

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