ZOJ 3913 Bob wants to pour water

ZOJ Monthly, October 2015 K题

二分答案+验证

#include<iostream>
#include<algorithm>
#include<string.h>
#include<stdio.h>
#include<math.h>
using namespace std;

const double pi=3.1415926535898;
const int maxn=100000+10;
struct cuboids
{
    double z;
    double width,length,height;
}c[maxn];
struct sphere
{
    double r;
    double z;
}s[maxn];
double W,L,V;
int T,m,n;
double Min,Max,Mid;
double qiu(double r1,double h)
{
    return pi/6*h*(3*(r1*r1+r1*r1-h*h)+h*h);
}
int main()
{
    scanf("%d",&T);
    while(T--)
    {
        scanf("%lf%lf%lf",&W,&L,&V);
        scanf("%d%d",&m,&n);
        double vNow=0;
        for(int i=1;i<=m;i++)
            scanf("%lf%lf%lf%lf",&c[i].z,&c[i].width,&c[i].length,&c[i].height);
        for(int i=1;i<=n;i++)
            scanf("%lf%lf",&s[i].z,&s[i].r);

        Min=0;
        Max=V;
        for(int i=1;i<=m;i++)
            Max=Max+c[i].width*c[i].length*c[i].height;
        for(int i=1;i<=n;i++)
            Max=Max+4.0/3.0*pi*s[i].r*s[i].r*s[i].r;
        Max=Max/(W*L);
        Mid=(Min+Max)/2.0;
        int t=500;
        while(t--)
        {
            vNow=W*L*Mid;

            for(int i=1;i<=m;i++)
            {
                if(c[i].z-c[i].height/2>=Mid)
                    continue;
                else if(c[i].z+c[i].height/2<=Mid)
                    vNow=vNow-c[i].width*c[i].length*c[i].height;
                else
                    vNow=vNow-c[i].width*c[i].length*(Mid-(c[i].z-c[i].height/2));
            }
            for(int i=1;i<=n;i++)
            {
                if(Mid<=s[i].z-s[i].r) continue;
                else if(Mid>=s[i].z+s[i].r)
                    vNow=vNow-4.0/3.0*pi*s[i].r*s[i].r*s[i].r;
                else if(Mid>s[i].z-s[i].r&&Mid<=s[i].z)
                {
                    vNow-=pi*s[i].r*s[i].r*s[i].r*4/3/2;
                    vNow+=qiu(s[i].r,s[i].z-Mid);
                }
                else
                {
                    vNow-=pi*s[i].r*s[i].r*s[i].r*4/3/2;
                    vNow-=qiu(s[i].r,Mid-s[i].z);
                }
            }
            if(Max-Mid<1e-8) break;
            if(vNow>V)
            {
                Max=Mid;
                Mid=(Min+Max)/2.0;
            }
            else
            {
                Min=Mid;
                Mid=(Min+Max)/2.0;
            }
        }
        printf("%.6lf
",Mid);
    }
    return 0;
}