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HDU 1969 高精度

2019-11-11 03:59:58
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My birthday is coming up and traditionally I'm serving pie. Not just one pie, no, I have a number N of them, of various tastes and of various sizes. F of my friends are coming to my party and each of them gets a piece of pie. This should be one piece of one pie, not several small pieces since that looks messy. This piece can be one whole pie though.My friends are very annoying and if one of them gets a bigger piece than the others, they start complaining. Therefore all of them should get equally sized (but not necessarily equally shaped) pieces, even if this leads to some pie getting spoiled (which is better than spoiling the party). Of course, I want a piece of pie for myself too, and that piece should also be of the same size.What is the largest possible piece size all of us can get? All the pies are cylindrical in shape and they all have the same height 1, but the radii of the pies can be different.InputOne line with a positive integer: the number of test cases. Then for each test case:One line with two integers N and F with 1 ≤ N, F ≤ 10 000: the number of pies and the number of friends.One line with N integers ri with 1 ≤ ri ≤ 10 000: the radii of the pies.OutputFor each test case, output one line with the largest possible volume V such that me and my friends can all get a pie piece of size V. The answer should be given as a floating point number with an absolute error of at most 10?3.Sample Input
33 34 3 31 24510 51 4 2 3 4 5 6 5 4 2Sample Output
25.13273.141650.2655
思路:二分法,但此題對(duì)精度要求很高
#include<stdio.h>#include<cstdlib>#include<math.h>#define pi acos(-1.0)//3.1415926過(guò)不了,此題對(duì)精度要求很高#define exp 1e-7//時(shí)間復(fù)雜度的大小也與精度的大小有關(guān)int N,F;using namespace std;int str[10005];int judge(double mid){   long long  sum=0;    for(int i=1;i<=N;i++)            sum+=(int)(1.0*str[i]*str[i]*pi/mid);     return sum>=(F+1)? 1:0;//關(guān)鍵是在等于時(shí)候的判斷}int main(){    //freopen("e://in.txt","r",stdin);    int V;    scanf("%d",&V);    while(V--)    {        double   sum=0.0;        scanf("%d%d",&N,&F);        for(int i=1;i<=N;i++)          {              scanf("%d",&str[i]);              sum+=1.0*str[i]*str[i]*pi;          }  sum/=1.0*(F+1);          double left=0.0,right=sum,mid;          while(right-left>=exp)          {             mid=(left+right)/2.0;            if(judge(mid))                left=mid;             else                right=mid;          }          PRintf("%.4lf/n",left);    }}總結(jié):1.pi =acos(-1.0),3.1415926不夠精確
     2.精度也影響著時(shí)間復(fù)雜度
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