Problem 1065. -- I Think I Need a Houseboat

HDU_1065: I Think I Need a Houseboat

Time Limit: 1000 MS  Memory Limit: 32 MB   64bit IO Format: %I64d
Submitted: 10  Accepted: 2
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Description


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.”

Notes:

1. No property will appear exactly on the semicircle boundary: it will either be inside or outside.

2. This problem will be judged automatically. Your answer must match exactly, including the capitalization, punctuation, and white-space. This includes the periods at the ends of the lines.

3. All locations are given in miles.

Sample Input

2 
1.0 1.0 
25.0 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. 

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