
ZOJ Problem Set  2882
Dilworth is the world's most prominent collector of Russian nested dolls: he literally has thousands of them! You know, the wooden hollow dolls of different sizes of which the smallest doll is contained in the second smallest, and this doll is in turn contained in the next one and so forth. One day he wonders if there is another way of nesting them so he will end up with fewer nested dolls? After all, that would make his collection even more magnificent! He unpacks each nested doll and measures the width and height of each contained doll. A doll with width w_{1} and height h_{1} will fit in another doll of width w_{2} and height h_{2} if and only if w_{1} < w_{2} and h_{1} < h_{2}. Can you help him calculate the smallest number of nested dolls possible to assemble from his massive list of measurements? Input On the first line of input is a single positive integer 1 <= t <= 20 specifying the number of test cases to follow. Each test case begins with a positive integer 1 <= m <= 20000 on a line of itself telling the number of dolls in the test case. Next follow 2m positive integers w_{1}, h_{1},w_{2}, h_{2}, . . . ,w_{m}, h_{m}, where w_{i} is the width and h_{i} is the height of doll number i. 1 <= w_{i}, h_{i} <= 10000 for all i. Output For each test case there should be one line of output containing the minimum number of nested dolls possible. Sample Input
4 Sample Output
1 Source: The 2007 Nordic Collegiate Programming Contest 