Calculate Smallest Bounding Rectangle Area - Cartesian Coordinates Program

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SUMMARY

The discussion focuses on calculating the area of the smallest bounding rectangle that encompasses a set of 2-dimensional points defined by Cartesian coordinates. The program must handle multiple test cases, where each test case starts with a positive integer n, followed by n pairs of real numbers representing the x and y coordinates. The output for each test case is the area of the bounding rectangle, rounded to four decimal places. Sample inputs and outputs demonstrate the expected functionality, with specific examples yielding areas of 80.0000 and 100.0000.

PREREQUISITES
  • Understanding of Cartesian coordinates
  • Basic programming skills in a language capable of handling floating-point arithmetic
  • Familiarity with input/output operations in programming
  • Knowledge of geometric concepts related to rectangles
NEXT STEPS
  • Implement a function to read and parse input data for multiple test cases
  • Learn how to calculate the minimum and maximum x and y coordinates from a set of points
  • Explore rounding techniques in programming to ensure output precision
  • Investigate performance considerations for handling larger datasets in geometric calculations
USEFUL FOR

Students, software developers, and data analysts interested in computational geometry and algorithms for bounding shapes in 2D space.

s_chaursia
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Given the Cartesian coordinates of n (> 0) 2-dimensional points, write a program that
computes the area of their smallest bounding rectangle (smallest rectangle containing all the
given points).
Input
The input file may contain multiple test cases. Each test case begins with a line
containing a positive integer n (< 1001) indicating the number of points in this test case.
Then follows n lines each containing two real numbers giving respectively the x- and y
coordinates of a point. The input terminates with a test case containing a value 0 for n which
must not be processed.
Output
For each test case in the input print a line containing the area of the smallest bounding
Rectangle rounded to the 4th digit after the decimal point.
Sample Input
3
-3.000 5.000
17.000 9.000
17.000 5.000
4
10.000 10.000
10.000 20.000
20.000 20.000
20.000 10.000
0
Sample Output
80.0000
100.0000
 
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