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57 lines
1.9 KiB
HTML
57 lines
1.9 KiB
HTML
<!DOCTYPE html>
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<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
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<h1>1011. Cut Rectangles (35)</h1>
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<div id="problemContent">
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<p>When a rectangle is cut by a straight line, we can easily obtain two polygons as the result. But the reversed problem is harder: given two polygons, your task is to check whether or not they could be obtained by cutting a rectangle.</p>
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<p>To give you more trouble, the input polygons are possibly moved, rotated (90 degrees, 180 degrees, or 270 degrees counter-clockwise), or even flipped (mirrored).</p>
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<p>
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It is assumed that the original rectangle's edges are parallel to the axis.
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</p>
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<p><b>
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Input Specification:
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</b></p>
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<p>Each input file contains one test case. For each case, the first line gives a positive integer N(<=20), and then N pairs of polygons are given. Each polygon is described in the format:</p>
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<p>
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k x<sub>1</sub> y<sub>1</sub> ... x<sub>k</sub> y<sub>k</sub>
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</p>
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<p>
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where k (2 < k <= 10) is the number of vertices on the polygon, and (x<sub>i</sub>, y<sub>i</sub>) (0 <= x<sub>i</sub>, y<sub>i</sub> <= 10<sup>8</sup>) are the coordinates of the vertices, given in either clockwise or counter-clockwise order.
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</p>
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<p>
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Note: there is no redundant vertex. That is, it is guaranteed that all the vertices are distinct for each polygon, and that no three consecutive vertices are on the same line.
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</p>
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<p><b>
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Output Specification:
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</b></p>
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<p>For each pair of polygons, print in a line either "YES" or "NO" as the answer.
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</p>
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<b>Sample Input:</b><pre>
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8
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3 0 0 1 0 1 1
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3 0 0 1 1 0 1
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3 0 0 1 0 1 1
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3 0 0 1 1 0 2
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4 0 4 1 4 1 0 0 0
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4 4 0 4 1 0 1 0 0
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3 0 0 1 1 0 1
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4 2 3 1 4 1 7 2 7
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5 10 10 10 12 12 12 14 11 14 10
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3 28 35 29 35 29 37
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3 7 9 8 11 8 9
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5 87 26 92 26 92 23 90 22 87 22
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5 0 0 2 0 1 1 1 2 0 2
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4 0 0 1 1 2 1 2 0
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4 0 0 0 1 1 1 2 0
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4 0 0 0 1 1 1 2 0
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</pre>
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<b>Sample Output:</b><pre>
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YES
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NO
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YES
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YES
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YES
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YES
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NO
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YES
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</pre>
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</div> |