4
$\begingroup$

Tom has written numbers 1, 2, 3, 4, 5, 6, and 7 in one sequence, but in such an order that if we cross out any three numbers, there will always remain four numbers, which do not form a descending nor an ascending sequence.

Can you possibly recreate the sequence given by Tom?

Is there but only one way of forming such a sequence?

$\endgroup$
6
$\begingroup$

There are plenty of ways, so no, we cannot recreate the sequence.

Any sequence will work, as long as it has exactly three increasing parts, and the parts are ordered so that no later part has an element greater than the parts before. Similar logic works for making the parts decreasing.

 3 2 1 4 7 6 5 (monotonous parts of length 3-1-3)
 5 6 7 4 1 2 3 (ditto)
6 7 3 4 5 1 2 (2-3-2) 2 1 5 4 3 7 6 (ditto)
3 2 1 6 5 4 7 (3-3-1) 5 6 7 2 3 4 1
2 1 4 3 7 6 5 (2-2-3) and so on, you get the point.

There are several other solutions too:

you can also intersperse the monotonous sequences:

 7 4 1 5 2 6 3 (the parts are 7, 4-5-6 and 1-2-3 (also found by Sneftel.))
 3 6 2 5 1 4 7 (its reverse)
 7 4 5 1 2 6 3 (you can also intersperse only a little. This is 7, 4-5-6 and 1-2-3, where the 6 was moved 2 places to the right)
 
When interspersing, you don't always even have to keep all the parts in order:
 6 1 7 4 2 5 3 (6-7, 1-2-3 and 4-5 creatively interspersed)
 
You must be careful with this method though, it's easy to accidentally complete the three-length part to four.

Finally, you can mix all the approaches:
 6 7 1 4 2 5 3 (1-2-3 interspersed with 4-5, preceded by 6-7)
 3 2 1 7 5 6 4 (3-2-1, followed by interspersed 7-6 and 5-4.)

There may be other solutions, but I couldn't find them.

NB. most of these methods should work even if Tom had added the numbers 8 and 9.

$\endgroup$
  • 1
    $\begingroup$ You forgot to include the obvious condition that each of the parts must consist of fewer than 4 digits. This is also the real reason why you can't use fewer than three parts. $\endgroup$ – Jaap Scherphuis Dec 1 '17 at 9:25
  • $\begingroup$ @Bass After plugging this into a quick python program, out of the 5040 possible arrangements of [1,2,3,4,5,6,7] 2127 of them are possible solutions. The way i looked at this is if the longest increasing or decreasing sub-sequence is greater than 4 the arrangement will not work. $\endgroup$ – lPlant Dec 1 '17 at 17:49
2
$\begingroup$

Well,

1 4 7 3 6 2 5 (cycling around in increments of 3)

seems to fit the bill.

5 2 6 3 7 4 1 (the reverse of the first sequence) does as well. Naturally, any valid sequence could not be unique, because its reverse would work. I have my doubts there are any others than these two, though.

EDIT:

Nope, there's also 7 4 1 5 2 6 3 (8-n of the first sequence) and its reverse.

$\endgroup$
  • $\begingroup$ +1, but Bass's is more descriptive. $\endgroup$ – prog_SAHIL Dec 1 '17 at 12:37
0
$\begingroup$

Since this did not say no computers I wrote a program to get all arrangements. A permutation of [1,2,3,4,5,6,7] is valid if the longest increasing and decreasing sub sequences are at most length 3.

There are 2127 valid solutions to this, here are a bunch of them.
(Format) List: Longest Ascending, Longest Descending
(5, 4, 2, 6, 1, 7, 3) : [2, 6, 7] [5, 4, 2]
(5, 4, 2, 6, 3, 1, 7) : [2, 3, 7] [5, 4, 2]
(5, 4, 2, 6, 3, 7, 1) : [2, 3, 7] [5, 4, 2]
(5, 4, 2, 6, 7, 1, 3) : [2, 6, 7] [5, 4, 2]
(5, 4, 2, 6, 7, 3, 1) : [2, 6, 7] [5, 4, 2]
(5, 4, 2, 7, 1, 3, 6) : [1, 3, 6] [5, 4, 2]
(5, 4, 2, 7, 1, 6, 3) : [1, 3] [5, 4, 2]
(5, 4, 2, 7, 3, 1, 6) : [2, 3, 6] [5, 4, 2]
(5, 4, 2, 7, 3, 6, 1) : [2, 3, 6] [5, 4, 2]
(5, 4, 2, 7, 6, 1, 3) : [1, 3] [5, 4, 2]
(5, 4, 3, 6, 1, 2, 7) : [1, 2, 7] [5, 4, 3]
(5, 4, 3, 6, 1, 7, 2) : [3, 6, 7] [5, 4, 3]
(5, 4, 3, 6, 2, 1, 7) : [3, 6, 7] [5, 4, 3]
(5, 4, 3, 6, 2, 7, 1) : [3, 6, 7] [5, 4, 3]
(5, 4, 3, 6, 7, 1, 2) : [3, 6, 7] [5, 4, 3]
(5, 4, 3, 6, 7, 2, 1) : [3, 6, 7] [5, 4, 3]
(5, 4, 3, 7, 1, 2, 6) : [1, 2, 6] [5, 4, 3]
(5, 4, 3, 7, 1, 6, 2) : [1, 2] [5, 4, 3]
(5, 4, 3, 7, 2, 1, 6) : [1, 6] [5, 4, 3]
(5, 4, 3, 7, 2, 6, 1) : [2, 6] [5, 4, 3]
(5, 4, 3, 7, 6, 1, 2) : [1, 2] [5, 4, 3]
(5, 4, 6, 1, 2, 7, 3) : [1, 2, 3] [5, 4]
(5, 4, 6, 1, 3, 2, 7) : [1, 2, 7] [5, 4]
(5, 4, 6, 1, 3, 7, 2) : [1, 3, 7] [5, 4]
(5, 4, 6, 1, 7, 2, 3) : [1, 2, 3] [5, 4]
(5, 4, 6, 1, 7, 3, 2) : [4, 6, 7] [7, 3, 2]
(5, 4, 6, 2, 1, 3, 7) : [1, 3, 7] [6, 2, 1]
(5, 4, 6, 2, 1, 7, 3) : [4, 6, 7] [6, 2, 1]
(5, 4, 6, 2, 3, 1, 7) : [2, 3, 7] [5, 4]
(5, 4, 6, 2, 3, 7, 1) : [2, 3, 7] [5, 4]
(5, 4, 6, 2, 7, 1, 3) : [4, 6, 7] [5, 4]
(5, 4, 6, 2, 7, 3, 1) : [4, 6, 7] [7, 3, 1]
(5, 4, 6, 3, 1, 2, 7) : [1, 2, 7] [6, 3, 1]
(5, 4, 6, 3, 1, 7, 2) : [4, 6, 7] [6, 3, 1]
(5, 4, 6, 3, 2, 7, 1) : [4, 6, 7] [6, 3, 2]
(5, 4, 6, 3, 7, 1, 2) : [4, 6, 7] [5, 4]
(5, 4, 6, 3, 7, 2, 1) : [4, 6, 7] [7, 2, 1]
(5, 4, 6, 7, 1, 2, 3) : [1, 2, 3] [5, 4]
(5, 4, 6, 7, 1, 3, 2) : [4, 6, 7] [5, 4]
(5, 4, 6, 7, 2, 1, 3) : [4, 6, 7] [7, 2, 1]
(5, 4, 6, 7, 2, 3, 1) : [4, 6, 7] [5, 4]
(5, 4, 6, 7, 3, 1, 2) : [4, 6, 7] [7, 3, 1]
(5, 4, 7, 1, 2, 6, 3) : [1, 2, 3] [5, 4]
(5, 4, 7, 1, 3, 2, 6) : [1, 2, 6] [5, 4]
(5, 4, 7, 1, 3, 6, 2) : [1, 3, 6] [5, 4]
(5, 4, 7, 1, 6, 2, 3) : [1, 2, 3] [5, 4]
(5, 4, 7, 1, 6, 3, 2) : [1, 2] [6, 3, 2]
(5, 4, 7, 2, 1, 3, 6) : [1, 3, 6] [7, 2, 1]
(5, 4, 7, 2, 1, 6, 3) : [1, 3] [7, 2, 1]
(5, 4, 7, 2, 3, 1, 6) : [2, 3, 6] [5, 4]
(5, 4, 7, 2, 3, 6, 1) : [2, 3, 6] [5, 4]
(5, 4, 7, 2, 6, 1, 3) : [1, 3] [5, 4]
(5, 4, 7, 2, 6, 3, 1) : [2, 3] [6, 3, 1]
(5, 4, 7, 3, 1, 2, 6) : [1, 2, 6] [7, 3, 1]
(5, 4, 7, 3, 1, 6, 2) : [1, 2] [7, 3, 1]
(5, 4, 7, 3, 2, 6, 1) : [2, 6] [7, 3, 2]
(5, 4, 7, 3, 6, 1, 2) : [1, 2] [5, 4]
(5, 4, 7, 3, 6, 2, 1) : [3, 6] [6, 2, 1]
(5, 4, 7, 6, 1, 2, 3) : [1, 2, 3] [7, 6, 1]
(5, 4, 7, 6, 1, 3, 2) : [1, 2] [7, 6, 1]
(5, 4, 7, 6, 2, 3, 1) : [2, 3] [7, 6, 2]
(5, 6, 1, 2, 7, 4, 3) : [1, 2, 3] [7, 4, 3]
(5, 6, 1, 3, 2, 7, 4) : [1, 2, 4] [6, 1]
(5, 6, 1, 3, 7, 2, 4) : [1, 2, 4] [6, 1]
(5, 6, 1, 3, 7, 4, 2) : [1, 3, 4] [7, 4, 2]
(5, 6, 1, 4, 2, 7, 3) : [1, 2, 3] [6, 1]
(5, 6, 1, 4, 3, 2, 7) : [1, 2, 7] [4, 3, 2]
(5, 6, 1, 4, 3, 7, 2) : [1, 3, 7] [6, 1]
(5, 6, 1, 4, 7, 2, 3) : [1, 2, 3] [6, 1]
(5, 6, 1, 4, 7, 3, 2) : [1, 4, 7] [7, 3, 2]
(5, 6, 1, 7, 2, 4, 3) : [1, 2, 3] [6, 1]
(5, 6, 1, 7, 3, 2, 4) : [1, 2, 4] [7, 3, 2]
(5, 6, 1, 7, 3, 4, 2) : [1, 3, 4] [6, 1]
(5, 6, 1, 7, 4, 2, 3) : [1, 2, 3] [7, 4, 2]
(5, 6, 2, 1, 3, 7, 4) : [1, 3, 4] [6, 2, 1]
(5, 6, 2, 1, 4, 3, 7) : [1, 3, 7] [6, 2, 1]
(5, 6, 2, 1, 4, 7, 3) : [1, 4, 7] [6, 2, 1]
(5, 6, 2, 1, 7, 3, 4) : [1, 3, 4] [6, 2, 1]
(5, 6, 2, 1, 7, 4, 3) : [5, 6, 7] [6, 2, 1]
(5, 6, 2, 3, 1, 7, 4) : [2, 3, 4] [6, 2]
(5, 6, 2, 3, 7, 1, 4) : [2, 3, 4] [6, 2]
(5, 6, 2, 3, 7, 4, 1) : [2, 3, 4] [7, 4, 1]
(5, 6, 2, 4, 1, 3, 7) : [1, 3, 7] [6, 2]
(5, 6, 2, 4, 1, 7, 3) : [2, 4, 7] [6, 2]
(5, 6, 2, 4, 3, 1, 7) : [2, 3, 7] [4, 3, 1]
(5, 6, 2, 4, 3, 7, 1) : [2, 3, 7] [6, 2]
(5, 6, 2, 4, 7, 1, 3) : [2, 4, 7] [6, 2]
(5, 6, 2, 4, 7, 3, 1) : [2, 4, 7] [7, 3, 1]
(5, 6, 2, 7, 1, 3, 4) : [1, 3, 4] [6, 2]
(5, 6, 2, 7, 1, 4, 3) : [5, 6, 7] [6, 2]
(5, 6, 2, 7, 3, 1, 4) : [2, 3, 4] [7, 3, 1]
(5, 6, 2, 7, 3, 4, 1) : [2, 3, 4] [6, 2]
(5, 6, 2, 7, 4, 1, 3) : [5, 6, 7] [7, 4, 1]
(5, 6, 3, 1, 2, 7, 4) : [1, 2, 4] [6, 3, 1]
(5, 6, 3, 1, 4, 2, 7) : [1, 2, 7] [6, 3, 1]
(5, 6, 3, 1, 4, 7, 2) : [1, 4, 7] [6, 3, 1]
(5, 6, 3, 1, 7, 2, 4) : [1, 2, 4] [6, 3, 1]
(5, 6, 3, 1, 7, 4, 2) : [5, 6, 7] [6, 3, 1]
(5, 6, 3, 2, 4, 1, 7) : [2, 4, 7] [6, 3, 2]
(5, 6, 3, 2, 4, 7, 1) : [2, 4, 7] [6, 3, 2]
(5, 6, 3, 2, 7, 1, 4) : [5, 6, 7] [6, 3, 2]
(5, 6, 3, 2, 7, 4, 1) : [5, 6, 7] [6, 3, 2]
(5, 6, 3, 4, 1, 2, 7) : [1, 2, 7] [6, 3]
(5, 6, 3, 4, 1, 7, 2) : [3, 4, 7] [6, 3]
(5, 6, 3, 4, 2, 1, 7) : [3, 4, 7] [4, 2, 1]
(5, 6, 3, 4, 2, 7, 1) : [3, 4, 7] [6, 3]
(5, 6, 3, 4, 7, 1, 2) : [3, 4, 7] [6, 3]
(5, 6, 3, 4, 7, 2, 1) : [3, 4, 7] [7, 2, 1]
(5, 6, 3, 7, 1, 2, 4) : [1, 2, 4] [6, 3]
(5, 6, 3, 7, 1, 4, 2) : [5, 6, 7] [6, 3]
(5, 6, 3, 7, 2, 1, 4) : [5, 6, 7] [7, 2, 1]
(5, 6, 3, 7, 2, 4, 1) : [5, 6, 7] [6, 3]
(5, 6, 3, 7, 4, 1, 2) : [5, 6, 7] [7, 4, 1]
(5, 6, 4, 1, 2, 7, 3) : [1, 2, 3] [6, 4, 1]
(5, 6, 4, 1, 3, 2, 7) : [1, 2, 7] [6, 4, 1]
(5, 6, 4, 1, 3, 7, 2) : [1, 3, 7] [6, 4, 1]
(5, 6, 4, 1, 7, 2, 3) : [1, 2, 3] [6, 4, 1]
(5, 6, 4, 1, 7, 3, 2) : [5, 6, 7] [6, 4, 1]
(5, 6, 4, 2, 3, 1, 7) : [2, 3, 7] [6, 4, 2]
(5, 6, 4, 2, 3, 7, 1) : [2, 3, 7] [6, 4, 2]
(5, 6, 4, 2, 7, 1, 3) : [5, 6, 7] [6, 4, 2]
(5, 6, 4, 2, 7, 3, 1) : [5, 6, 7] [6, 4, 2]
(5, 6, 4, 3, 7, 1, 2) : [5, 6, 7] [6, 4, 3]
(5, 6, 4, 3, 7, 2, 1) : [5, 6, 7] [6, 4, 3]
(5, 6, 4, 7, 1, 2, 3) : [1, 2, 3] [6, 4]
(5, 6, 4, 7, 1, 3, 2) : [5, 6, 7] [6, 4]
(5, 6, 4, 7, 2, 1, 3) : [5, 6, 7] [7, 2, 1]
(5, 6, 4, 7, 2, 3, 1) : [5, 6, 7] [6, 4]
(5, 6, 4, 7, 3, 1, 2) : [5, 6, 7] [7, 3, 1]
(5, 6, 7, 1, 2, 4, 3) : [1, 2, 3] [7, 1]
(5, 6, 7, 1, 3, 2, 4) : [1, 2, 4] [7, 1]
(5, 6, 7, 1, 3, 4, 2) : [1, 3, 4] [7, 1]
(5, 6, 7, 1, 4, 2, 3) : [1, 2, 3] [7, 1]
(5, 6, 7, 1, 4, 3, 2) : [5, 6, 7] [4, 3, 2]
(5, 6, 7, 2, 1, 3, 4) : [1, 3, 4] [7, 2, 1]
(5, 6, 7, 2, 1, 4, 3) : [5, 6, 7] [7, 2, 1]
(5, 6, 7, 2, 3, 1, 4) : [2, 3, 4] [7, 2]
(5, 6, 7, 2, 3, 4, 1) : [2, 3, 4] [7, 2]
(5, 6, 7, 2, 4, 1, 3) : [5, 6, 7] [7, 2]
(5, 6, 7, 2, 4, 3, 1) : [5, 6, 7] [4, 3, 1]
(5, 6, 7, 3, 1, 2, 4) : [1, 2, 4] [7, 3, 1]
(5, 6, 7, 3, 1, 4, 2) : [5, 6, 7] [7, 3, 1]
(5, 6, 7, 3, 2, 4, 1) : [5, 6, 7] [7, 3, 2]
(5, 6, 7, 3, 4, 1, 2) : [5, 6, 7] [7, 3]
(5, 6, 7, 3, 4, 2, 1) : [5, 6, 7] [4, 2, 1]
(5, 6, 7, 4, 1, 2, 3) : [1, 2, 3] [7, 4, 1]
(5, 6, 7, 4, 1, 3, 2) : [5, 6, 7] [7, 4, 1]
(5, 6, 7, 4, 2, 3, 1) : [5, 6, 7] [7, 4, 2]
(5, 7, 1, 2, 6, 4, 3) : [1, 2, 3] [6, 4, 3]
(5, 7, 1, 3, 2, 6, 4) : [1, 2, 4] [7, 1]
(5, 7, 1, 3, 6, 2, 4) : [1, 2, 4] [7, 1]
(5, 7, 1, 3, 6, 4, 2) : [1, 3, 4] [6, 4, 2]
(5, 7, 1, 4, 2, 6, 3) : [1, 2, 3] [7, 1]
(5, 7, 1, 4, 3, 2, 6) : [1, 2, 6] [4, 3, 2]
(5, 7, 1, 4, 3, 6, 2) : [1, 3, 6] [7, 1]
(5, 7, 1, 4, 6, 2, 3) : [1, 2, 3] [7, 1]
(5, 7, 1, 4, 6, 3, 2) : [1, 4, 6] [6, 3, 2]
(5, 7, 1, 6, 2, 4, 3) : [1, 2, 3] [7, 1]
(5, 7, 1, 6, 3, 2, 4) : [1, 2, 4] [6, 3, 2]
(5, 7, 1, 6, 3, 4, 2) : [1, 3, 4] [7, 1]
(5, 7, 1, 6, 4, 2, 3) : [1, 2, 3] [6, 4, 2]
(5, 7, 2, 1, 3, 6, 4) : [1, 3, 4] [7, 2, 1]
(5, 7, 2, 1, 4, 3, 6) : [1, 3, 6] [7, 2, 1]
(5, 7, 2, 1, 4, 6, 3) : [1, 4, 6] [7, 2, 1]
(5, 7, 2, 1, 6, 3, 4) : [1, 3, 4] [7, 2, 1]
(5, 7, 2, 1, 6, 4, 3) : [1, 3] [7, 2, 1]
(5, 7, 2, 3, 1, 6, 4) : [2, 3, 4] [7, 2]
(5, 7, 2, 3, 6, 1, 4) : [2, 3, 4] [7, 2]
(5, 7, 2, 3, 6, 4, 1) : [2, 3, 4] [6, 4, 1]
(5, 7, 2, 4, 1, 3, 6) : [1, 3, 6] [7, 2]
(5, 7, 2, 4, 1, 6, 3) : [2, 4, 6] [7, 2]
(5, 7, 2, 4, 3, 1, 6) : [2, 3, 6] [4, 3, 1]
(5, 7, 2, 4, 3, 6, 1) : [2, 3, 6] [7, 2]
(5, 7, 2, 4, 6, 1, 3) : [2, 4, 6] [7, 2]
(5, 7, 2, 4, 6, 3, 1) : [2, 4, 6] [6, 3, 1]
(5, 7, 2, 6, 1, 3, 4) : [1, 3, 4] [7, 2]
(5, 7, 2, 6, 1, 4, 3) : [1, 3] [7, 2]
(5, 7, 2, 6, 3, 1, 4) : [2, 3, 4] [6, 3, 1]
(5, 7, 2, 6, 3, 4, 1) : [2, 3, 4] [7, 2]
(5, 7, 2, 6, 4, 1, 3) : [1, 3] [6, 4, 1]
(5, 7, 3, 1, 2, 6, 4) : [1, 2, 4] [7, 3, 1]
(5, 7, 3, 1, 4, 2, 6) : [1, 2, 6] [7, 3, 1]
(5, 7, 3, 1, 4, 6, 2) : [1, 4, 6] [7, 3, 1]
(5, 7, 3, 1, 6, 2, 4) : [1, 2, 4] [7, 3, 1]
(5, 7, 3, 1, 6, 4, 2) : [1, 2] [7, 3, 1]
(5, 7, 3, 2, 4, 1, 6) : [2, 4, 6] [7, 3, 2]
(5, 7, 3, 2, 4, 6, 1) : [2, 4, 6] [7, 3, 2]
(5, 7, 3, 2, 6, 1, 4) : [1, 4] [7, 3, 2]
(5, 7, 3, 2, 6, 4, 1) : [2, 4] [7, 3, 2]
(5, 7, 3, 4, 1, 2, 6) : [1, 2, 6] [7, 3]
(5, 7, 3, 4, 1, 6, 2) : [3, 4, 6] [7, 3]
(5, 7, 3, 4, 2, 1, 6) : [3, 4, 6] [4, 2, 1]
(5, 7, 3, 4, 2, 6, 1) : [3, 4, 6] [7, 3]
(5, 7, 3, 4, 6, 1, 2) : [3, 4, 6] [7, 3]
(5, 7, 3, 4, 6, 2, 1) : [3, 4, 6] [6, 2, 1]
(5, 7, 3, 6, 1, 2, 4) : [1, 2, 4] [7, 3]
(5, 7, 3, 6, 1, 4, 2) : [1, 2] [7, 3]
(5, 7, 3, 6, 2, 1, 4) : [1, 4] [6, 2, 1]
(5, 7, 3, 6, 2, 4, 1) : [2, 4] [7, 3]
(5, 7, 3, 6, 4, 1, 2) : [1, 2] [6, 4, 1]
(5, 7, 4, 1, 2, 6, 3) : [1, 2, 3] [7, 4, 1]
(5, 7, 4, 1, 3, 2, 6) : [1, 2, 6] [7, 4, 1]
(5, 7, 4, 1, 3, 6, 2) : [1, 3, 6] [7, 4, 1]
(5, 7, 4, 1, 6, 2, 3) : [1, 2, 3] [7, 4, 1]
(5, 7, 4, 1, 6, 3, 2) : [1, 2] [7, 4, 1]
(5, 7, 4, 2, 3, 1, 6) : [2, 3, 6] [7, 4, 2]
(5, 7, 4, 2, 3, 6, 1) : [2, 3, 6] [7, 4, 2]
(5, 7, 4, 2, 6, 1, 3) : [1, 3] [7, 4, 2]
(5, 7, 4, 2, 6, 3, 1) : [2, 3] [7, 4, 2]
(5, 7, 4, 3, 6, 1, 2) : [1, 2] [7, 4, 3]
(5, 7, 4, 3, 6, 2, 1) : [3, 6] [7, 4, 3]
(5, 7, 4, 6, 1, 2, 3) : [1, 2, 3] [7, 4]
(5, 7, 4, 6, 1, 3, 2) : [1, 2] [7, 4]
(5, 7, 4, 6, 2, 1, 3) : [1, 3] [6, 2, 1]
(5, 7, 4, 6, 2, 3, 1) : [2, 3] [7, 4]
(5, 7, 4, 6, 3, 1, 2) : [1, 2] [6, 3, 1]
(5, 7, 6, 1, 2, 4, 3) : [1, 2, 3] [7, 6, 1]
(5, 7, 6, 1, 3, 2, 4) : [1, 2, 4] [7, 6, 1]
(5, 7, 6, 1, 3, 4, 2) : [1, 3, 4] [7, 6, 1]
(5, 7, 6, 1, 4, 2, 3) : [1, 2, 3] [7, 6, 1]
(5, 7, 6, 1, 4, 3, 2) : [1, 2] [7, 6, 1]
(5, 7, 6, 2, 3, 1, 4) : [2, 3, 4] [7, 6, 2]
(5, 7, 6, 2, 3, 4, 1) : [2, 3, 4] [7, 6, 2]
(5, 7, 6, 2, 4, 1, 3) : [1, 3] [7, 6, 2]
(5, 7, 6, 2, 4, 3, 1) : [2, 3] [7, 6, 2]
(5, 7, 6, 3, 4, 1, 2) : [1, 2] [7, 6, 3]
(5, 7, 6, 3, 4, 2, 1) : [3, 4] [7, 6, 3]
(6, 1, 3, 2, 7, 5, 4) : [1, 2, 4] [7, 5, 4]
(6, 1, 3, 7, 2, 5, 4) : [1, 2, 4] [6, 1]
(6, 1, 3, 7, 5, 2, 4) : [1, 2, 4] [7, 5, 2]
(6, 1, 4, 2, 7, 5, 3) : [1, 2, 3] [7, 5, 3]
(6, 1, 4, 3, 2, 7, 5) : [1, 2, 5] [4, 3, 2]
(6, 1, 4, 3, 7, 2, 5) : [1, 2, 5] [6, 1]
(6, 1, 4, 3, 7, 5, 2) : [1, 3, 5] [7, 5, 2]
(6, 1, 4, 7, 2, 5, 3) : [1, 2, 3] [6, 1]
(6, 1, 4, 7, 3, 2, 5) : [1, 2, 5] [7, 3, 2]
(6, 1, 4, 7, 3, 5, 2) : [1, 3, 5] [6, 1]
(6, 1, 4, 7, 5, 2, 3) : [1, 2, 3] [7, 5, 2]
(6, 1, 5, 2, 7, 4, 3) : [1, 2, 3] [7, 4, 3]
(6, 1, 5, 3, 2, 7, 4) : [1, 2, 4] [5, 3, 2]
(6, 1, 5, 3, 7, 2, 4) : [1, 2, 4] [6, 1]
(6, 1, 5, 3, 7, 4, 2) : [1, 3, 4] [7, 4, 2]
(6, 1, 5, 4, 2, 7, 3) : [1, 2, 3] [5, 4, 2]
(6, 1, 5, 4, 3, 7, 2) : [1, 3, 7] [5, 4, 3]
(6, 1, 5, 4, 7, 2, 3) : [1, 2, 3] [6, 1]
(6, 1, 5, 4, 7, 3, 2) : [1, 4, 7] [7, 3, 2]
(6, 1, 5, 7, 2, 4, 3) : [1, 2, 3] [6, 1]
(6, 1, 5, 7, 3, 2, 4) : [1, 2, 4] [7, 3, 2]
(6, 1, 5, 7, 3, 4, 2) : [1, 3, 4] [6, 1]
(6, 1, 5, 7, 4, 2, 3) : [1, 2, 3] [7, 4, 2]
(6, 1, 7, 2, 5, 4, 3) : [1, 2, 3] [5, 4, 3]
(6, 1, 7, 3, 2, 5, 4) : [1, 2, 4] [7, 3, 2]
(6, 1, 7, 3, 5, 2, 4) : [1, 2, 4] [6, 1]
(6, 1, 7, 3, 5, 4, 2) : [1, 3, 4] [5, 4, 2]
(6, 1, 7, 4, 2, 5, 3) : [1, 2, 3] [7, 4, 2]
(6, 1, 7, 4, 3, 5, 2) : [1, 3, 5] [7, 4, 3]
(6, 1, 7, 4, 5, 2, 3) : [1, 2, 3] [6, 1]
(6, 1, 7, 4, 5, 3, 2) : [1, 4, 5] [5, 3, 2]
(6, 1, 7, 5, 2, 4, 3) : [1, 2, 3] [7, 5, 2]
(6, 1, 7, 5, 3, 4, 2) : [1, 3, 4] [7, 5, 3]
(6, 2, 1, 3, 7, 5, 4) : [1, 3, 4] [6, 2, 1]
(6, 2, 1, 4, 3, 7, 5) : [1, 3, 5] [6, 2, 1]
(6, 2, 1, 4, 7, 3, 5) : [1, 3, 5] [6, 2, 1]
(6, 2, 1, 4, 7, 5, 3) : [1, 4, 5] [6, 2, 1]
(6, 2, 1, 5, 3, 7, 4) : [1, 3, 4] [6, 2, 1]
(6, 2, 1, 5, 4, 3, 7) : [1, 3, 7] [6, 2, 1]
(6, 2, 1, 5, 4, 7, 3) : [1, 4, 7] [6, 2, 1]
(6, 2, 1, 5, 7, 3, 4) : [1, 3, 4] [6, 2, 1]
(6, 2, 1, 5, 7, 4, 3) : [1, 5, 7] [6, 2, 1]
(6, 2, 1, 7, 3, 5, 4) : [1, 3, 4] [6, 2, 1]
(6, 2, 1, 7, 4, 3, 5) : [1, 3, 5] [6, 2, 1]
(6, 2, 1, 7, 4, 5, 3) : [1, 4, 5] [6, 2, 1]
(6, 2, 1, 7, 5, 3, 4) : [1, 3, 4] [6, 2, 1]
(6, 2, 3, 1, 7, 5, 4) : [2, 3, 4] [7, 5, 4]
(6, 2, 3, 7, 1, 5, 4) : [2, 3, 4] [6, 2]
(6, 2, 3, 7, 5, 1, 4) : [2, 3, 4] [7, 5, 1]
(6, 2, 4, 1, 3, 7, 5) : [1, 3, 5] [6, 2]
(6, 2, 4, 1, 7, 3, 5) : [1, 3, 5] [6, 2]
(6, 2, 4, 1, 7, 5, 3) : [2, 4, 5] [7, 5, 3]
(6, 2, 4, 3, 1, 7, 5) : [2, 3, 5] [4, 3, 1]
(6, 2, 4, 3, 7, 1, 5) : [2, 3, 5] [6, 2]
(6, 2, 4, 3, 7, 5, 1) : [2, 3, 5] [7, 5, 1]
(6, 2, 4, 7, 1, 3, 5) : [1, 3, 5] [6, 2]
(6, 2, 4, 7, 1, 5, 3) : [2, 4, 5] [6, 2]
(6, 2, 4, 7, 3, 1, 5) : [2, 3, 5] [7, 3, 1]
(6, 2, 4, 7, 3, 5, 1) : [2, 3, 5] [6, 2]
(6, 2, 4, 7, 5, 1, 3) : [2, 4, 5] [7, 5, 1]
(6, 2, 5, 1, 3, 7, 4) : [1, 3, 4] [6, 2]
(6, 2, 5, 1, 4, 3, 7) : [1, 3, 7] [6, 2]
(6, 2, 5, 1, 4, 7, 3) : [1, 4, 7] [6, 2]
(6, 2, 5, 1, 7, 3, 4) : [1, 3, 4] [6, 2]
(6, 2, 5, 1, 7, 4, 3) : [2, 5, 7] [7, 4, 3]
(6, 2, 5, 3, 1, 7, 4) : [2, 3, 4] [5, 3, 1]
(6, 2, 5, 3, 7, 1, 4) : [2, 3, 4] [6, 2]
(6, 2, 5, 3, 7, 4, 1) : [2, 3, 4] [7, 4, 1]
(6, 2, 5, 4, 1, 3, 7) : [1, 3, 7] [5, 4, 1]
(6, 2, 5, 4, 1, 7, 3) : [2, 4, 7] [5, 4, 1]
(6, 2, 5, 4, 3, 7, 1) : [2, 3, 7] [5, 4, 3]
(6, 2, 5, 4, 7, 1, 3) : [2, 4, 7] [6, 2]
(6, 2, 5, 4, 7, 3, 1) : [2, 4, 7] [7, 3, 1]
(6, 2, 5, 7, 1, 3, 4) : [1, 3, 4] [6, 2]
(6, 2, 5, 7, 1, 4, 3) : [2, 5, 7] [6, 2]
(6, 2, 5, 7, 3, 1, 4) : [2, 3, 4] [7, 3, 1]
(6, 2, 5, 7, 3, 4, 1) : [2, 3, 4] [6, 2]
(6, 2, 5, 7, 4, 1, 3) : [2, 5, 7] [7, 4, 1]
(6, 2, 7, 1, 3, 5, 4) : [1, 3, 4] [6, 2]
(6, 2, 7, 1, 4, 3, 5) : [1, 3, 5] [6, 2]
(6, 2, 7, 1, 4, 5, 3) : [1, 4, 5] [6, 2]
(6, 2, 7, 1, 5, 3, 4) : [1, 3, 4] [6, 2]
(6, 2, 7, 1, 5, 4, 3) : [1, 3] [5, 4, 3]
(6, 2, 7, 3, 1, 5, 4) : [2, 3, 4] [7, 3, 1]
(6, 2, 7, 3, 5, 1, 4) : [2, 3, 4] [6, 2]
(6, 2, 7, 3, 5, 4, 1) : [2, 3, 4] [5, 4, 1]
(6, 2, 7, 4, 1, 3, 5) : [1, 3, 5] [7, 4, 1]
(6, 2, 7, 4, 1, 5, 3) : [2, 4, 5] [7, 4, 1]
(6, 2, 7, 4, 3, 5, 1) : [2, 3, 5] [7, 4, 3]
(6, 2, 7, 4, 5, 1, 3) : [2, 4, 5] [6, 2]
(6, 2, 7, 4, 5, 3, 1) : [2, 4, 5] [5, 3, 1]
(6, 2, 7, 5, 1, 3, 4) : [1, 3, 4] [7, 5, 1]
(6, 2, 7, 5, 1, 4, 3) : [1, 3] [7, 5, 1]
(6, 2, 7, 5, 3, 4, 1) : [2, 3, 4] [7, 5, 3]
(6, 3, 1, 2, 7, 5, 4) : [1, 2, 4] [6, 3, 1]
(6, 3, 1, 4, 2, 7, 5) : [1, 2, 5] [6, 3, 1]
(6, 3, 1, 4, 7, 2, 5) : [1, 2, 5] [6, 3, 1]
(6, 3, 1, 4, 7, 5, 2) : [1, 4, 5] [6, 3, 1]
(6, 3, 1, 5, 2, 7, 4) : [1, 2, 4] [6, 3, 1]
(6, 3, 1, 5, 4, 2, 7) : [1, 2, 7] [6, 3, 1]
(6, 3, 1, 5, 4, 7, 2) : [1, 4, 7] [6, 3, 1]
(6, 3, 1, 5, 7, 2, 4) : [1, 2, 4] [6, 3, 1]
(6, 3, 1, 5, 7, 4, 2) : [1, 5, 7] [6, 3, 1]
(6, 3, 1, 7, 2, 5, 4) : [1, 2, 4] [6, 3, 1]
(6, 3, 1, 7, 4, 2, 5) : [1, 2, 5] [6, 3, 1]
(6, 3, 1, 7, 4, 5, 2) : [1, 4, 5] [6, 3, 1]
(6, 3, 1, 7, 5, 2, 4) : [1, 2, 4] [6, 3, 1]
(6, 3, 2, 4, 1, 7, 5) : [2, 4, 5] [6, 3, 2]
(6, 3, 2, 4, 7, 1, 5) : [2, 4, 5] [6, 3, 2]
(6, 3, 2, 4, 7, 5, 1) : [2, 4, 5] [6, 3, 2]
(6, 3, 2, 5, 1, 4, 7) : [1, 4, 7] [6, 3, 2]
(6, 3, 2, 5, 1, 7, 4) : [2, 5, 7] [6, 3, 2]
(6, 3, 2, 5, 4, 1, 7) : [2, 4, 7] [6, 3, 2]
(6, 3, 2, 5, 4, 7, 1) : [2, 4, 7] [6, 3, 2]
(6, 3, 2, 5, 7, 1, 4) : [2, 5, 7] [6, 3, 2]
(6, 3, 2, 5, 7, 4, 1) : [2, 5, 7] [6, 3, 2]
(6, 3, 2, 7, 1, 4, 5) : [1, 4, 5] [6, 3, 2]
(6, 3, 2, 7, 1, 5, 4) : [1, 4] [6, 3, 2]
(6, 3, 2, 7, 4, 1, 5) : [2, 4, 5] [6, 3, 2]
(6, 3, 2, 7, 4, 5, 1) : [2, 4, 5] [6, 3, 2]
(6, 3, 2, 7, 5, 1, 4) : [1, 4] [6, 3, 2]
(6, 3, 4, 1, 2, 7, 5) : [1, 2, 5] [6, 3]
(6, 3, 4, 1, 7, 2, 5) : [1, 2, 5] [6, 3]
(6, 3, 4, 1, 7, 5, 2) : [3, 4, 5] [7, 5, 2]
(6, 3, 4, 2, 1, 7, 5) : [3, 4, 5] [4, 2, 1]
(6, 3, 4, 2, 7, 1, 5) : [3, 4, 5] [6, 3]
(6, 3, 4, 2, 7, 5, 1) : [3, 4, 5] [7, 5, 1]
(6, 3, 4, 7, 1, 2, 5) : [1, 2, 5] [6, 3]
(6, 3, 4, 7, 1, 5, 2) : [3, 4, 5] [6, 3]
(6, 3, 4, 7, 2, 1, 5) : [3, 4, 5] [7, 2, 1]
(6, 3, 4, 7, 2, 5, 1) : [3, 4, 5] [6, 3]
(6, 3, 4, 7, 5, 1, 2) : [3, 4, 5] [7, 5, 1]
(6, 3, 5, 1, 2, 7, 4) : [1, 2, 4] [6, 3]
(6, 3, 5, 1, 4, 2, 7) : [1, 2, 7] [6, 3]
(6, 3, 5, 1, 4, 7, 2) : [1, 4, 7] [6, 3]
(6, 3, 5, 1, 7, 2, 4) : [1, 2, 4] [6, 3]
(6, 3, 5, 1, 7, 4, 2) : [3, 5, 7] [7, 4, 2]
(6, 3, 5, 2, 1, 4, 7) : [1, 4, 7] [5, 2, 1]
(6, 3, 5, 2, 1, 7, 4) : [3, 5, 7] [5, 2, 1]
(6, 3, 5, 2, 4, 1, 7) : [2, 4, 7] [6, 3]
(6, 3, 5, 2, 4, 7, 1) : [2, 4, 7] [6, 3]
(6, 3, 5, 2, 7, 1, 4) : [3, 5, 7] [6, 3]
(6, 3, 5, 2, 7, 4, 1) : [3, 5, 7] [7, 4, 1]
(6, 3, 5, 4, 1, 2, 7) : [1, 2, 7] [5, 4, 1]
(6, 3, 5, 4, 1, 7, 2) : [3, 4, 7] [5, 4, 1]
(6, 3, 5, 4, 2, 7, 1) : [3, 4, 7] [5, 4, 2]
(6, 3, 5, 4, 7, 1, 2) : [3, 4, 7] [6, 3]
(6, 3, 5, 4, 7, 2, 1) : [3, 4, 7] [7, 2, 1]
(6, 3, 5, 7, 1, 2, 4) : [1, 2, 4] [6, 3]
(6, 3, 5, 7, 1, 4, 2) : [3, 5, 7] [6, 3]
(6, 3, 5, 7, 2, 1, 4) : [3, 5, 7] [7, 2, 1]
(6, 3, 5, 7, 2, 4, 1) : [3, 5, 7] [6, 3]
(6, 3, 5, 7, 4, 1, 2) : [3, 5, 7] [7, 4, 1]
(6, 3, 7, 1, 2, 5, 4) : [1, 2, 4] [6, 3]
(6, 3, 7, 1, 4, 2, 5) : [1, 2, 5] [6, 3]
(6, 3, 7, 1, 4, 5, 2) : [1, 4, 5] [6, 3]
(6, 3, 7, 1, 5, 2, 4) : [1, 2, 4] [6, 3]
(6, 3, 7, 1, 5, 4, 2) : [1, 2] [5, 4, 2]
(6, 3, 7, 2, 1, 4, 5) : [1, 4, 5] [7, 2, 1]
(6, 3, 7, 2, 1, 5, 4) : [1, 4] [7, 2, 1]
(6, 3, 7, 2, 4, 1, 5) : [2, 4, 5] [6, 3]
(6, 3, 7, 2, 4, 5, 1) : [2, 4, 5] [6, 3]
(6, 3, 7, 2, 5, 1, 4) : [1, 4] [6, 3]
(6, 3, 7, 2, 5, 4, 1) : [2, 4] [5, 4, 1]
(6, 3, 7, 4, 1, 2, 5) : [1, 2, 5] [7, 4, 1]
(6, 3, 7, 4, 1, 5, 2) : [3, 4, 5] [7, 4, 1]
(6, 3, 7, 4, 2, 5, 1) : [3, 4, 5] [7, 4, 2]
(6, 3, 7, 4, 5, 1, 2) : [3, 4, 5] [6, 3]
(6, 3, 7, 4, 5, 2, 1) : [3, 4, 5] [5, 2, 1]
(6, 3, 7, 5, 1, 2, 4) : [1, 2, 4] [7, 5, 1]
(6, 3, 7, 5, 1, 4, 2) : [1, 2] [7, 5, 1]
(6, 3, 7, 5, 2, 4, 1) : [2, 4] [7, 5, 2]
(6, 4, 1, 2, 7, 5, 3) : [1, 2, 3] [6, 4, 1]
(6, 4, 1, 3, 2, 7, 5) : [1, 2, 5] [6, 4, 1]
(6, 4, 1, 3, 7, 2, 5) : [1, 2, 5] [6, 4, 1]
(6, 4, 1, 3, 7, 5, 2) : [1, 3, 5] [6, 4, 1]
(6, 4, 1, 5, 2, 7, 3) : [1, 2, 3] [6, 4, 1]
(6, 4, 1, 5, 3, 2, 7) : [1, 2, 7] [6, 4, 1]
(6, 4, 1, 5, 3, 7, 2) : [1, 3, 7] [6, 4, 1]
(6, 4, 1, 5, 7, 2, 3) : [1, 2, 3] [6, 4, 1]
(6, 4, 1, 5, 7, 3, 2) : [1, 5, 7] [6, 4, 1]
(6, 4, 1, 7, 2, 5, 3) : [1, 2, 3] [6, 4, 1]
(6, 4, 1, 7, 3, 2, 5) : [1, 2, 5] [6, 4, 1]
(6, 4, 1, 7, 3, 5, 2) : [1, 3, 5] [6, 4, 1]
(6, 4, 1, 7, 5, 2, 3) : [1, 2, 3] [6, 4, 1]
(6, 4, 2, 3, 1, 7, 5) : [2, 3, 5] [6, 4, 2]
(6, 4, 2, 3, 7, 1, 5) : [2, 3, 5] [6, 4, 2]
(6, 4, 2, 3, 7, 5, 1) : [2, 3, 5] [6, 4, 2]
(6, 4, 2, 5, 1, 3, 7) : [1, 3, 7] [6, 4, 2]
(6, 4, 2, 5, 1, 7, 3) : [2, 5, 7] [6, 4, 2]
(6, 4, 2, 5, 3, 1, 7) : [2, 3, 7] [6, 4, 2]
(6, 4, 2, 5, 3, 7, 1) : [2, 3, 7] [6, 4, 2]
(6, 4, 2, 5, 7, 1, 3) : [2, 5, 7] [6, 4, 2]
(6, 4, 2, 5, 7, 3, 1) : [2, 5, 7] [6, 4, 2]
(6, 4, 2, 7, 1, 3, 5) : [1, 3, 5] [6, 4, 2]
(6, 4, 2, 7, 1, 5, 3) : [1, 3] [6, 4, 2]
(6, 4, 2, 7, 3, 1, 5) : [2, 3, 5] [6, 4, 2]
(6, 4, 2, 7, 3, 5, 1) : [2, 3, 5] [6, 4, 2]
(6, 4, 2, 7, 5, 1, 3) : [1, 3] [6, 4, 2]
(6, 4, 3, 5, 1, 2, 7) : [1, 2, 7] [6, 4, 3]
(6, 4, 3, 5, 1, 7, 2) : [3, 5, 7] [6, 4, 3]
(6, 4, 3, 5, 2, 1, 7) : [3, 5, 7] [6, 4, 3]
(6, 4, 3, 5, 2, 7, 1) : [3, 5, 7] [6, 4, 3]
(6, 4, 3, 5, 7, 1, 2) : [3, 5, 7] [6, 4, 3]
(6, 4, 3, 5, 7, 2, 1) : [3, 5, 7] [6, 4, 3]
(6, 4, 3, 7, 1, 2, 5) : [1, 2, 5] [6, 4, 3]
(6, 4, 3, 7, 1, 5, 2) : [1, 2] [6, 4, 3]
(6, 4, 3, 7, 2, 1, 5) : [1, 5] [6, 4, 3]
(6, 4, 3, 7, 2, 5, 1) : [2, 5] [6, 4, 3]
(6, 4, 3, 7, 5, 1, 2) : [1, 2] [6, 4, 3]
(6, 4, 5, 1, 2, 7, 3) : [1, 2, 3] [6, 4]
(6, 4, 5, 1, 3, 2, 7) : [1, 2, 7] [6, 4]
(6, 4, 5, 1, 3, 7, 2) : [1, 3, 7] [6, 4]
(6, 4, 5, 1, 7, 2, 3) : [1, 2, 3] [6, 4]
(6, 4, 5, 1, 7, 3, 2) : [4, 5, 7] [7, 3, 2]
(6, 4, 5, 2, 1, 3, 7) : [1, 3, 7] [5, 2, 1]
(6, 4, 5, 2, 1, 7, 3) : [4, 5, 7] [5, 2, 1]
(6, 4, 5, 2, 3, 1, 7) : [2, 3, 7] [6, 4]
(6, 4, 5, 2, 3, 7, 1) : [2, 3, 7] [6, 4]
(6, 4, 5, 2, 7, 1, 3) : [4, 5, 7] [6, 4]
(6, 4, 5, 2, 7, 3, 1) : [4, 5, 7] [7, 3, 1]
(6, 4, 5, 3, 1, 2, 7) : [1, 2, 7] [5, 3, 1]
(6, 4, 5, 3, 1, 7, 2) : [4, 5, 7] [5, 3, 1]
(6, 4, 5, 3, 2, 7, 1) : [4, 5, 7] [5, 3, 2]
(6, 4, 5, 3, 7, 1, 2) : [4, 5, 7] [6, 4]
(6, 4, 5, 3, 7, 2, 1) : [4, 5, 7] [7, 2, 1]
(6, 4, 5, 7, 1, 2, 3) : [1, 2, 3] [6, 4]
(6, 4, 5, 7, 1, 3, 2) : [4, 5, 7] [6, 4]
(6, 4, 5, 7, 2, 1, 3) : [4, 5, 7] [7, 2, 1]
(6, 4, 5, 7, 2, 3, 1) : [4, 5, 7] [6, 4]
(6, 4, 5, 7, 3, 1, 2) : [4, 5, 7] [7, 3, 1]
(6, 4, 7, 1, 2, 5, 3) : [1, 2, 3] [6, 4]
(6, 4, 7, 1, 3, 2, 5) : [1, 2, 5] [6, 4]
(6, 4, 7, 1, 3, 5, 2) : [1, 3, 5] [6, 4]
(6, 4, 7, 1, 5, 2, 3) : [1, 2, 3] [6, 4]
(6, 4, 7, 1, 5, 3, 2) : [1, 2] [5, 3, 2]
(6, 4, 7, 2, 1, 3, 5) : [1, 3, 5] [7, 2, 1]
(6, 4, 7, 2, 1, 5, 3) : [1, 3] [7, 2, 1]
(6, 4, 7, 2, 3, 1, 5) : [2, 3, 5] [6, 4]
(6, 4, 7, 2, 3, 5, 1) : [2, 3, 5] [6, 4]
(6, 4, 7, 2, 5, 1, 3) : [1, 3] [6, 4]
(6, 4, 7, 2, 5, 3, 1) : [2, 3] [5, 3, 1]
(6, 4, 7, 3, 1, 2, 5) : [1, 2, 5] [7, 3, 1]
(6, 4, 7, 3, 1, 5, 2) : [1, 2] [7, 3, 1]
(6, 4, 7, 3, 2, 5, 1) : [2, 5] [7, 3, 2]
(6, 4, 7, 3, 5, 1, 2) : [1, 2] [6, 4]
(6, 4, 7, 3, 5, 2, 1) : [3, 5] [5, 2, 1]
(6, 4, 7, 5, 1, 2, 3) : [1, 2, 3] [7, 5, 1]
(6, 4, 7, 5, 1, 3, 2) : [1, 2] [7, 5, 1]
(6, 4, 7, 5, 2, 3, 1) : [2, 3] [7, 5, 2]
(6, 5, 1, 2, 7, 4, 3) : [1, 2, 3] [6, 5, 1]
(6, 5, 1, 3, 2, 7, 4) : [1, 2, 4] [6, 5, 1]
(6, 5, 1, 3, 7, 2, 4) : [1, 2, 4] [6, 5, 1]
(6, 5, 1, 3, 7, 4, 2) : [1, 3, 4] [6, 5, 1]
(6, 5, 1, 4, 2, 7, 3) : [1, 2, 3] [6, 5, 1]
(6, 5, 1, 4, 3, 2, 7) : [1, 2, 7] [6, 5, 1]
(6, 5, 1, 4, 3, 7, 2) : [1, 3, 7] [6, 5, 1]
(6, 5, 1, 4, 7, 2, 3) : [1, 2, 3] [6, 5, 1]
(6, 5, 1, 4, 7, 3, 2) : [1, 4, 7] [6, 5, 1]

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.