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|1 초||128 MB||0||0||0||0.000%|
One of the participants of both regional contests which took place in St. Petersburg decided to determine overall rating for all teams that took part in at least one contest.
This participant assigned each team a unique team identifier, which was an integer from 1 to 100 inclusively. For each contest team identifiers of the participating teams were written in a column according to their place in that contest. Identifiers of the teams that had equal results were written on the same line. The participant started with the team(s) that was(were) the best in that contest (writing them on the first line) and continued in the order of decreasing results.
Definition: Let's say that the team has place K in the contest if exactly K −1 teams performed in that contest better.
Consider the following examples of two contests' results:
|Contest no. 1||Contest no. 2|
|place||team's id||place||team's id|
|2||7 1 4||2||5|
The overall rating for the teams which took part in both contests is defined in the following way:
In our example only teams 1, 4, 5, and 9 participated twice. Team 1 has the highest rating, teams 5 and 9 with the equal rating follow, and team 4 has the lowest rating.
For the teams that participated in one contest only the overall rating and their position in the resulting list cannot be always determined. They are included in the overall list (where the teams which participated twice already placed according to the rules above) if one of the following takes place:
|Teams that participated in both contests||Teams that participated in one contest only|
Your task is to write a program that will create the overall rating list using the result tables of two contests and the given rules.
The input file contains a description of the two contests, which are separated by an empty line. Each description starts with a line containing the single integer N (1 ≤ N ≤ 100) that indicates how many lines of the contest result table follow. Each line of the contest result table consists of one or more team identifiers separated by spaces.
Every team identifier occurs at most once in the description of each contest.
Write to the output file one or more lines with the team identifiers (separated by spaces) that represent the overall rating list. The order of the teams that share the same rating (thus written on the same line) is unimportant. The teams for which the overall rating is not determined should be absent in the output file.
6 9 7 1 4 5 15 8 31 18 17 8 3 5 1 10 6 9 19 4 20 21
3 1 10 5 9 19 4 20 15 8 31 18 17 21