1、解题思路:概率论,计算几何。

2、注意事项:题意理解圆心在m*n的矩形中运动;中间值用double类型记录;注意题干中的输出格式。

3、实现方法:

#include<iostream>
#include
<math.h>
using namespace std;
#define PI 3.141592653

int main()
{
int num,i;
double m,n,t,c;
double pro1,pro2,pro3,pro4;
cin
>>num;
for(i=1;i<=num;i++)
{
cin
>>m>>n>>t>>c;
double sq=m*n*t*t;
pro2
=(m-1)*n*t*c+(n-1)*m*t*c-2*(m-1)*(n-1)*c*c;
pro2
=pro2/sq;

pro3
=(m-1)*(n-1)*c*c*(1-PI/4);
pro3
=pro3/sq;

pro4
=(m-1)*(n-1)*c*c*PI/4;
pro4
=pro4/sq;

pro1
=1-(pro2+pro3+pro4);

cout
<<"Case "<<i<<":"<<endl;
cout.setf(ios::
fixed);
cout.precision(
4);
cout
<<"Probability of covering 1 tile = "<<pro1*100<<"%"<<endl;
cout
<<"Probability of covering 2 tiles = "<<pro2*100<<"%"<<endl;
cout
<<"Probability of covering 3 tiles = "<<pro3*100<<"%"<<endl;
cout
<<"Probability of covering 4 tiles = "<<pro4*100<<"%"<<endl;

if(i!=num)
cout
<<endl;
}
return 0;
}

 

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