GOT - Gao on a tree

There's a tree, with each vertex assigned a number. For each query (a, b, c), you are asked whether there is a vertex on the path from a to b, which is assigned number c?

Input

There are multiple cases, end by EOF.

For each case, the first line contains n (n <= 100000) and m (m <= 200000), representing the number of vertexes (numbered from 1 to n) and the number of queries.

Then n integers follows, representing the number assigned to the i-th vertex.

Then n-1 lines, each of which contains a edge of the tree.

Then m lines, each of which contains three integers a, b and c (0 <= c <= n), representing a query.

Output

You should output "Find" or "NotFind" for every query on one line.

Output a blank line AFTER every case.

Example

Input:
5 5
1 2 3 4 5
1 2
1 3
3 4
3 5
2 3 4
2 4 3
2 4 5
4 5 1
4 5 3

Output:
NotFind
Find
NotFind
NotFind
Find

Added by:lxyxynt
Date:2012-08-17
Time limit:0.602s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64

hide comments
2014-02-06 19:21:22 aristofanis
Be careful! Got AC with C++ 4.0.0-8 and for some reason the same code compiled with C++ 4.3.2 gave me SIGSEGV! I think it has to do with the maximum stack size, as I am using recursion...
2013-05-24 05:30:32 Hussain Kara Fallah
for who solved this problem
What is the worst complexity that passes?
2013-02-14 11:05:59 :D
I used b) per test case. Hopefully exact judge isn't used and that's not a problem.
2013-02-14 09:22:56 Luke Pebody
What does "Output a blank line AFTER every case." mean in this case?

Is the correct output for the sample
a) "NotFind\nFind\nNotFind\nNotFind\nFind\n"
b) "NotFind\nFind\nNotFind\nNotFind\nFind\n\n"
c) "NotFind\n\nFind\n\nNotFind\n\nNotFind\n\nFind\n\n"

Or something else?
2012-10-06 13:01:45 Buda IM (retired)
0<=c<=n
2012-09-18 05:03:06 [Hakuna Matata]
Then n integers follows, representing the number assigned to the ith vertex.!!

This integer are differents??
2012-08-18 07:00:50 lxyxynt
I'm sorry for my mistake..The dataset has the testcase number T, and i have deleted it and all submit has rejudged.
2012-10-05 21:31:07 Damian Straszak
getting SIGFPE on assertion "first vertex of edge" > n
Is everything OK with the input data?
2012-08-17 19:28:39 Damian Straszak
please specify constraints on numbers assigned to vertices
2012-10-05 21:31:52 lxyxynt
@Diaa Thx for reminding!
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