Chef and Graph Queries
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Read problems statements in Mandarin Chinese and Russian.
Chef has a undirected graph G. This graph consists of N vertices and M edges. Each vertex of the graph has an unique index from 1 to N, also each edge of the graph has an unique index from 1 to M.
Also Chef has Q pairs of integers: Li, Ri (1 ≤ Li ≤ Ri ≤ M). For each pair Li, Ri, Chef wants to know: how many connected components will contain graph G if Chef erase all the edges from the graph, except the edges with indies X, where Li ≤ X ≤ Ri. Please, help Chef with these queries.
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains three integers N, M, Q. Each of the next M lines contains a pair of integers Vi, Ui - the current edge of graph G. Each of the next Q lines contains a pair of integers Li, Ri - the current query.
For each query of each test case print the required number of connected components.
- 1 ≤ T ≤ 1000.
- 1 ≤ N, M, Q ≤ 200000.
- 1 ≤ Ui, Vi ≤ N.
- 1 ≤ Li ≤ Ri ≤ M.
- Sum of all values of N for test cases is not greater than 200000. Sum of all values of M for test cases is not greater than 200000. Sum of all values of Q for test cases is not greater than 200000.
- Graph G can contain self-loops and multiple edges.
Input: 2 3 5 4 1 3 1 2 2 1 3 2 2 2 2 3 1 5 5 5 1 2 1 1 1 1 1 1 1 Output: 2 1 3 1 1
|Tags||decomposition, gerald, link-cut-tree, march14, medium-hard|
|Time Limit:||8 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.5, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS|
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