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+For this problem, we will be writing a function which takes
+two rectangles, determines the region in which they overlap
+(which is also a rectangle), and returns that region.
+
+Before proceeding, think about what the corner case(s) [no pun intended!]
+in this problem might be.
+
+ 1. Open the provided file called "rectangle.c"
+
+ 2. In the "rectangle.c" file, define a struct for rectangles
+ which has 4 fields: x, y, width, and height. Each of these
+ fields should be an int. Use typedef so that the typename
+ "rectangle" refers to your struct.
+
+ 3. One corner we might have to deal with is if the rectangle's
+ representation is non-standard: if the width or height are
+ negative. One way to deal with inputs that come in non-standard
+ formats is to "canonicalize" them---convert them to the standard
+ (or "canonical") representation. First, write the function
+
+ rectangle canonicalize(rectangle r);
+
+ which takes a rectangle, and "fixes" its representation
+ by ensuring that the width and height are non-negative (and
+ appropriately adjusting the x and/or y co-ordinate). That is,
+ if your canonicalize function were passed a rectangle with
+ x=3, y=2, width=-2, height=4
+ then it should return a rectangle with
+ x=1, y=2, width=2, height=4
+ as these both describe the same rectangle, but the later is
+ in a canonical representation.
+
+ It may be a good idea to stop and test this function
+ before proceeding. Compile and run your code.
+ The main function we have provided should be useful,
+ as it canonicalizes the rectangles it prints.
+
+ 4. Now, write the function
+ rectangle intersection(rectangle r1, rectangle r2)
+ which takes two rectangles (r1, and r2), and returns
+ the rectangle representing the intersection of the two.
+
+ Note that there is a corner case where the correct answer
+ is "no intersection". We have not learned how to represent
+ "no such thing" yet, but we will consider a rectangle with
+ both width and height equal to 0 to mean "no such rectangle".
+
+ We will consider a rectangle to have one (but not the other)
+ of width or height equal to 0 to be an appropriate answer
+ when rectangles share an edge but do not overlap. For example,
+ x=0,y=0,width=1, height=1
+ and
+ x=-1,y=1,width=3,height=2
+ Should result in the "rectangle"
+ x=0,y=1,width=1,height=0
+ 5. We have provided a main function which tests your code,
+ as well as correct output (rectangle_ans.txt) to diff against.
+
+ 6. Submit your code
+
+Hint:
+ Do Step 1 (work an example yourself) four or five times.
+ Draw a variety of different ways that rectangles can overlap.
+ Use these to help you think abou the general algorithm for how
+ to determine their overlapping region.