POJ 1005 I Think I Need a Houseboat

I Think I Need a Houseboat

Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 103534 Accepted: 45037

Description

Fred Mapper is considering purchasing some land in Louisiana to build his house on. In the process of investigating the land, he learned that the state of Louisiana is actually shrinking by 50 square miles each year, due to erosion caused by the Mississippi River. Since Fred is hoping to live in this house the rest of his life, he needs to know if his land is going to be lost to erosion. 

After doing more research, Fred has learned that the land that is being lost forms a semicircle. This semicircle is part of a circle centered at (0,0), with the line that bisects the circle being the X axis. Locations below the X axis are in the water. The semicircle has an area of 0 at the beginning of year 1. (Semicircle illustrated in the Figure.) 

Input

The first line of input will be a positive integer indicating how many data sets will be included (N). Each of the next N lines will contain the X and Y Cartesian coordinates of the land Fred is considering. These will be floating point numbers measured in miles. The Y coordinate will be non-negative. (0,0) will not be given.

Output

For each data set, a single line of output should appear. This line should take the form of: “Property N: This property will begin eroding in year Z.” Where N is the data set (counting from 1), and Z is the first year (start from 1) this property will be within the semicircle AT THE END OF YEAR Z. Z must be an integer. After the last data set, this should print out “END OF OUTPUT.” 

Sample Input

21.0 1.025.0 0.0

Sample Output

Property 1: This property will begin eroding in year 1.Property 2: This property will begin eroding in year 20.END OF OUTPUT.

//这道题意是由输入给定一个点，将原点到该点的长度作为目的半径或者以此半径为半圆，按照每一年增加50m^2半圆的方式，需要多少年。即年数=（目的面积／50（每年增加的面积）+1（第一年的增加的面积为0））
#include <iostream>#include <math.h>#define PI 3.141592654using namespace std;int main(int argc, const char * argv[]) {    double s,x,y;    int n;    cin>>n;    int i=0;    while(i<n)    {        cin>>x>>y;        s=(PI/2)*(x*x+y*y);        cout<<"Property "<<i+1<<": "<<"This property will begin eroding in year "<<(int)(s/50+1)<<"."<<endl;        i++;    }    cout<<"END OF OUTPUT.";    return 0;}