By Monirul Hasan Tomal, Southeast University Bangladesh
The task is simple. Through some critical points in 2D, you have to draw a wave like curve. Your goal is to include as many points as possible.
Two consecutive points on the curve should have a difference of 2 in their y coordinate.
There will be no more than 222 test cases. Each test case starts with an integer N, the number of points in the test case. In the next N lines, there will be N pair of integers giving the x and y coordinate of the points. There will be no more than 1000 points in each test case. All coordinates are integers -- they'd fit in a signed 2 byte integer data type. The data must be read of default input.
For each test case print a number -- the maximum number of critical points that can be included in a curve drawn from the given points.
|Input Sample||Output Sample|