Boring Class
Description:
Mr. Zstu and Mr. Hdu are taking a boring class , Mr. Zstu comes up with a problem to kill time, Mr. Hdu thinks it’s too easy, he solved it very quickly, what about you guys?
Here is the problem:
Give you two sequences L1,L2,...,Ln and R1,R2,...,Rn.
Your task is to find a longest subsequence v1,v2,...vm satisfies
v1≥1,vm≤n,vi<vi+1 .(for i from 1 to m - 1)
Lvi≥Lvi+1,Rvi≤Rvi+1(for i from 1 to m - 1)
If there are many longest subsequence satisfy the condition, output the sequence which has the smallest lexicographic order.
Input:
There are several test cases, each test case begins with an integer n.
1≤n≤50000
Both of the following two lines contain n integers describe the two sequences.
1≤Li,Ri≤109
Output:
For each test case ,output the an integer m indicates the length of the longest subsequence as described.
Output m integers in the next line.
Output m integers in the next line.
Sample Input:
5 5 4 3 2 1 6 7 8 9 10 2 1 2 3 4
Sample Output:
5 1 2 3 4 5 1 1
Source:
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