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Output a single line for each test case. If it is impossible to choose a subset of the roads in such a way that for each pair of cities, there is exactly one path of roads connecting them, output a single line containing "Impossible" (quotes for clarity and starts with an uppercase 'I') for that test case. Otherwise, output a single line containing two space-separated integers: the maximum profit Chef can gain and the minimum total cost of the chosen roads that yields the maximum profit.
Input: 2 3 2 1 0 1 5 1 2 4 0 1 10 3 1 1 0 1 1 0 1 3 Output: 10 14 Impossible
1 ≤ T ≤ 5
2 ≤ N ≤ 5,000
1 ≤ M1 ≤ 20,000
1 ≤ M2 ≤ 20,000
For each proposed road, the end points will be two different cities.
There may be several proposed roads between the same pair of cities.
For each proposed road, 0 ≤ c ≤ 1,000,000,000
Each input file will not be larger than 4 MB (4,000,000,000 bytes) in size.
|Tags||cook26, easy, kruskal, yellow_agony|
|Time Limit:||2 sec|
|Source Limit:||50000 Bytes|
|Languages:||C, CPP14, JAVA, PYTH, PYTH 3.6, 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, PYP3, CLOJ, FS|
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