QTREE - Query on a tree


You are given a tree (an acyclic undirected connected graph) with N nodes, and edges numbered 1, 2, 3...N-1.

We will ask you to perfrom some instructions of the following form:

  • CHANGE i ti : change the cost of the i-th edge to ti
    or
  • QUERY a b : ask for the maximum edge cost on the path from node a to node b

Input

The first line of input contains an integer t, the number of test cases (t <= 20). t test cases follow.

For each test case:

  • In the first line there is an integer N (N <= 10000),
  • In the next N-1 lines, the i-th line describes the i-th edge: a line with three integers a b c denotes an edge between a, b of cost c (c <= 1000000),
  • The next lines contain instructions "CHANGE i ti" or "QUERY a b",
  • The end of each test case is signified by the string "DONE".

There is one blank line between successive tests.

Output

For each "QUERY" operation, write one integer representing its result.

Example

Input:
1

3
1 2 1
2 3 2
QUERY 1 2
CHANGE 1 3
QUERY 1 2
DONE

Output:
1
3

hide comments
pshishod2645: 2018-07-24 16:41:37

Time limit is too strict.
. don't use c++ max function or preprocessor for max. Instead use if or ( ? : ;)
. use char s[], instead of c++ string

dynamite_iit: 2018-04-20 16:48:59

<snip>
Cpp working Solution.

Last edit: 2023-06-07 12:08:22
lukamercep: 2018-04-01 14:52:54

Don't use c++ MIN and MAX functions from algorithm, they are very slow, us IF instead!

siva2697: 2018-02-23 17:59:22

Very Nice Problem Learnt New Concept C++ working LCA with DP too

Last edit: 2018-02-23 18:52:18
sagar2009kumsr: 2017-12-28 07:32:37

Is c++ solution is submitting on this ??

ganeshjadhav: 2017-12-25 19:11:29

Credit goes to Anudeep such a nice blog HLD+segment tree.

labo: 2017-09-06 20:51:43

Did anyone solve this in Python ? Get TLE with HLD…

coderbond007: 2017-07-10 17:24:42

Java got TLE. Same code in C++ passed. :(

ankit mathur: 2017-07-08 20:03:34

what the fuck...submitted same code 3 times...1 time it got accepted...2 times it got tle...what the fuck spoj..

kr_abhinav: 2017-07-07 10:10:40

Guys try to avoid LCA using dp, try doing it with HLD itself, took me 9 submissions to AC


Added by:Thanh-Vy Hua
Date:2005-06-08
Time limit:1s
Source limit:15000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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