Red and blue points
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Read problems statements in Mandarin chinese, Russian and Vietnamese as well.
You are given N red points and M blue points on a 2D plane.
You are required to delete the minimum number of points(the deleted points can be of both colors) so that it's possible to draw a line such that all remaining red points are on one side of the line while all remaining blue points are on the other side of the line.
- The first line of the input contains an integer T denoting the number of test cases.
- The first line of each test case contains two space-separated integers N and M.
- Each of the next N lines contains two integers Xri, Yri describing the coordinates of the i-th red point.
- Each of the next M lines contains two integers Xbi, Ybi describing the coordinates of the i-th blue point.
For each test case, output a single line containing one integer denoting the minimum number of points to be deleted.
- 1 ≤ T ≤ 100
- 1 ≤ N, M ≤ 1,000
- 1 ≤ sum of N in all test cases ≤ 1,000
- 1 ≤ sum of M in all test cases ≤ 1,000
- -109 ≤ Xri, Yri, Xbi, Ybi ≤ 109
- No two points among both red and blue points have same coordinates
- No three points among both red and blue points are collinear
Subtask #1 (20 points): 1 ≤ sum of N in all test-cases, sum of M in all test-cases ≤ 100
Subtask #2 (80 points): original constraints
Input: 1 4 4 0 0 10 10 0 10 10 0 12 11 2 1 12 1 2 11 Output: 2
|Time Limit:||2 sec|
|Source Limit:||50000 Bytes|
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