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  • HDU 5432 Pyramid Split

    题意:有n个底面是正方形的四棱锥,用一个水平截面将所有四棱锥分成两半,要求上一半体积的和等于下一半,求水平截面的高度,输出整数部分。

    解法:二分截面高度。比赛的时候二分写不明白了orz……

    代码:

    #include<stdio.h>
    #include<iostream>
    #include<algorithm>
    #include<string>
    #include<string.h>
    #include<math.h>
    #include<limits.h>
    #include<time.h>
    #include<stdlib.h>
    #include<map>
    #include<queue>
    #include<set>
    #include<stack>
    #include<vector>
    #define LL long long
    using namespace std;
    double const eps = 1e-3;
    double a[10005], b[10005];
    int n;
    int cal(double mid)
    {
        double sum1 = 0.0, sum2 = 0.0;
        for(int i = 0; i < n; i++)
        {
            if(mid > a[i])
            {
                sum2 += a[i] * b[i] * b[i] / 3.0;
                continue;
            }
            double vsum = a[i] * b[i] * b[i] / 3.0;
            double x = (a[i] - mid) * b[i] / a[i];
            double lvsum = (a[i] - mid) * x * x / 3.0;
            sum1 += lvsum;
            sum2 += vsum - lvsum;
        }
        if(fabs(sum1 - sum2) < eps) return 0;
        if(sum1 > sum2) return 1;
        return -1;
    }
    int solve()
    {
        double l = 0.0, r = 1000.0;
        double mid;
        while((r-l)>= eps)
        {
            mid = (l + r) / 2.0;
            int tmp = cal(mid);
            if(tmp == 0) return mid;
            else if(tmp == 1) l = mid + eps;
            else r = mid - eps;
        }
        return mid;
    }
    int main()
    {
        int T;
        while(~scanf("%d", &T))
        {
            while(T--)
            {
                scanf("%d", &n);
                for(int i = 0; i < n; i++)
                    scanf("%lf", &a[i]);
                for(int i = 0; i < n; i++)
                    scanf("%lf", &b[i]);
                printf("%d
    ", (int)solve());
            }
        }
        return 0;
    }

      

    while(r - l > 1)
    {
        LL mid = (l + r) >> 1;
        if(judge(mid)) l = mid;
        else
           r = mid;
    }
    cout << l << endl;
    /*贴一个实验室大神的二分模板*/
    

      

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  • 原文地址:https://www.cnblogs.com/Apro/p/4810075.html
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