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|2 초||512 MB||142||45||36||30.000%|
Jousting is a medieval contest that involves people on horseback trying to strike each other with wooden lances while riding at high speed. A total of 2n knights have entered a jousting tournament – n knights from each of the two great rival houses. Upon arrival, each knight has challenged a single knight from the other house to a duel.
A kernel is defined as some subset S of knights with the following two properties:
Given the set of the challenges issued, find one kernel. It is guaranteed that a kernel always exists.
The first line contains an integer n (1 ≤ n ≤ 100 000) – the number of knights of each house. The knights from the first house are denoted with integers 1 through n, knights from the second house with integers n + 1 through 2n.
The following line contains integers f1, f2, . . . , fn – the k-th integer fk is the index of the knight challenged by knight k (n + 1 ≤ fk ≤ 2n).
The following line contains integers s1,s2, . . . ,sn – the k-th integer sk is the index of the knight challenged by knight n + k (1 ≤ sk ≤ n).
Output the indices of the knights in the kernel on a single line. If there is more than one solution, you may output any one.
4 5 6 7 7 1 3 2 3
1 2 4 8