LA 3635 Pie 派 NWERC 2006

时间:2021-04-19 22:53:37

有 f + 1 个人来分 n 个圆形派,每个人得到的必须是一整块派,而不是几块拼在一起,并且面积要相同。求每个人最多能得到多大面积的派(不必是圆形)。

这题很好做,使用二分法就OK。

首先在读取所有派的半径后处理出所有派的面积,并且记录最大的那个派的面积。然后从 0 ~ maxsize 二分枚举一下,就能得到答案。

此外,这道题最后输出保留小数位数可以是 3, 4, 5,都可以。

附AC代码:

   1: #include <stdio.h>

   2: #include <math.h>

   3: #include <iostream>

   4: #include <cstdarg>

   5: #include <algorithm>

   6: #include <string.h>

   7: #include <stdlib.h>

   8: #include <string>

   9: #include <list>

  10: #include <vector>

  11: #include <map>

  12: #define LL long long

  13: #define M(a) memset(a, 0, sizeof(a))

  14: using namespace std;

  15: void Clean(int count, ...)

  16: {

  17:     va_list arg_ptr;

  18:     va_start (arg_ptr, count);

  19:     for (int i = 0; i < count; i++)

  20:         M(va_arg(arg_ptr, int*));

  21:     va_end(arg_ptr);

  22: }

  23:  

  24: const double PI = acos(-1.0);

  25: double buf[10009];

  26: int n, f;

  27:  

  28: bool Deal(double size)

  29: {

  30:     int res = 0;

  31:     for (int i = 1; i <= n; i++)

  32:         res += floor(buf[i] / size);

  33:     return (res >= (f + 1));

  34: }

  35:  

  36: int main()

  37: {

  38:     int T;

  39:     scanf("%d", &T);

  40:     while (T--)

  41:     {

  42:         double m = -1;

  43:         scanf("%d%d", &n, &f);

  44:         for (int i = 1; i <= n; i++)

  45:         {

  46:             int r;

  47:             scanf("%d", &r);

  48:             buf[i] = PI * r * r;

  49:             m = max(m, buf[i]);

  50:         }

  51:         double tmp = 0.0;

  52:         while (m - tmp > 1e-5)

  53:         {

  54:             double p = (m + tmp) / 2.0;

  55:             if (Deal(p)) tmp = p;

  56:             else m = p;

  57:         }

  58:         printf("%.5lf\n", tmp);

  59:     }

  60:     return 0;

  61: }