Given a list of people described by an identifier and a name, you must count three things:
Input
The input consists of several cases. Each case starts with a positive natural n in a separate line, which is the number of people. After that come n lines, each one with a natural number and a string, which are the identifier and name of a person. At the end there is a blank line.
Output
For each case, the output has three natural numbers in one line, the number of repetitions, conflicts and coincidences in the list of people at the input.
Observation
Evaluation over 10 points:
It is understood that a fast solution is correct, with nlog(n) cost and passes all test cases, both public and private. A slow solution is defined as one that is not fast, but it is correct and passes the public test cases.
Input
3 1 joel 1 joel 0 joel 11 0 anabel 4 maria 1 anabel 1 nestor 3 maria 4 anabel 2 anabel 4 maria 4 nestor 3 anabel 2 david 18 0 rosabel 2 robert 2 joan 1 silvia 5 rosabel 5 rosabel 3 silvia 1 silvia 5 silvia 5 silvia 1 silvia 4 joel 3 david 5 rosabel 5 joel 2 rosabel 3 joan 5 silvia 5 0 silvia 0 silvia 0 silvia 0 silvia 0 silvia 7 2 desi 4 desi 5 desi 6 desi 0 desi 1 desi 6 desi 3 0 anabel 0 sandra 0 silvia 2 0 nestor 1 nestor 13 0 ferran 2 aleix 0 maxtor 0 ferran 1 cesar 1 maxtor 2 maxtor 0 cesar 1 maxtor 2 maxtor 2 cesar 2 aleix 0 aleix 10 1 maria 0 maria 4 aleix 4 aleix 1 maria 0 maria 2 aleix 4 aleix 0 aleix 2 maria 14 0 nestor 1 nestor 2 nestor 2 nestor 0 silvia 2 marisa 1 marisa 0 silvia 2 marisa 0 nestor 2 marisa 1 silvia 0 nestor 1 nestor 16 2 robert 0 robert 2 laura 0 joan 1 joan 1 robert 1 laura 2 joan 0 joan 1 robert 2 joan 0 robert 1 robert 2 robert 0 joan 2 joan 7 1 rosabel 0 rosabel 0 rosabel 2 rosabel 0 rosabel 2 rosabel 1 rosabel 7 6 nuria 4 nuria 4 nuria 5 nuria 1 nuria 5 nuria 2 nuria 15 0 nestor 0 angels 2 david 2 angels 2 nestor 1 david 1 david 0 david 2 angels 0 angels 2 angels 1 david 1 nestor 0 robert 2 robert 19 16 sandra 16 robert 7 joel 10 joel 0 robert 4 robert 13 robert 11 marisa 2 robert 11 robert 7 marisa 7 marisa 13 joel 12 marisa 1 joel 13 marisa 9 sandra 12 marisa 10 marisa 6 0 david 0 david 0 david 0 david 0 david 0 david 4 0 oscar 0 oscar 0 oscar 0 oscar 16 5 nestor 3 oscar 5 robert 5 robert 5 robert 3 cesar 0 oscar 5 angels 4 robert 6 robert 7 oscar 2 angels 4 oscar 5 cesar 2 angels 0 cesar 11 2 robert 1 ferran 3 robert 3 robert 1 ferran 0 robert 0 robert 2 robert 1 ferran 2 robert 1 robert 11 4 arisa 5 arisa 3 oscar 7 oscar 7 arisa 1 arisa 6 oscar 3 arisa 4 oscar 9 oscar 0 oscar
Output
1 0 2 1 8 13 9 21 24 10 0 0 1 0 20 0 3 0 0 0 1 4 19 13 5 3 15 9 17 21 11 24 32 5 0 16 2 0 19 7 24 17 2 8 41 15 0 0 6 0 0 4 15 18 8 3 23 0 3 25