TopCoder Statistics - Problem Statement

Problem Statement

Maya has n volatiel dark matter particles in her research facility (particles are numbered as 0, 1, 2, ..., n-1). They are all kept in one giant jar as some particles, if separated far away, would explode.

Maya recently received a huge research grant, and built a new research facility on another planet. Maya wishes to transport exactly k of the particles to the new facility for further experiments. Maya needs to figure out which k particles she can safely transport to the new facility so that no particle would explode.

Maya has a list of pairs described by x and y such that if the two particles x[i] and y[i] are separated, they would explode (assume x[i] is not equal to y[i] for all i). In particular, if Maya transports only one of x[i] and y[i] to the new facility (thereby the other one remaining in the current facility), they would explode. Therefore Maya needs to keep both particles x[i] and y[i] in her current facility or to transport both particles to the new facility (for every i).

Given this information, please help Maya by determining whether it is possible to transport exactly k particles to the new facility without resulting in any explosion. If it is possible, return "Possible"; otherwise return "Impossible" (all quotes for clarity).

Definition

Class:: DarkMatterParticles
Method:: SplitParticles
Parameters:: int, int, int[], int[]
Returns:: String
Method signature:: String SplitParticles(int n, int k, int[] x, int[] y)
(be sure your method is public)

Constraints

n will be between 2 and 1,000, inclusive.
k will be between 1 and 1,000, inclusive.
x will contain between 1 and 2,500 elements, inclusive.
x and y will contain the same number of elements.
Each element in x will be between 0 and n-1, inclusive.
Each element in y will be between 0 and n-1, inclusive.
For each valid i, x[i] != y[i].

Examples

4

2

{0,1,2,3}

{1,2,3,0}

Returns: "Impossible"
4

4

{0,1,2,3}

{1,2,3,0}

Returns: "Possible"
4

2

{0,1,2,3}

{2,3,0,1}

Returns: "Possible"
4

3

{0,1,2,3}

{2,3,0,1}

Returns: "Impossible"
3

3

{0,1,2}

{1,2,0}

Returns: "Possible"
3

2

{0,1,2}

{1,2,0}

Returns: "Impossible"
6

1

{0,1,4}

{1,2,5}

Returns: "Possible"
6

2

{0,1,4}

{1,2,5}

Returns: "Possible"
6

3

{0,1,4}

{1,2,5}

Returns: "Possible"
6

6

{0,1,4}

{1,2,5}

Returns: "Possible"
6

1000

{0,1,4}

{1,2,5}

Returns: "Impossible"
9

9

{4,2,6,5,7,0,8,1,1,4,1,6,0,3,7,2}

{2,6,5,7,0,8,1,3,8,1,7,0,5,6,3,7}

Returns: "Possible"
9

5

{4,2,6,5,7,0,8,1,1,4,1,6,0,3,7,2}

{2,6,5,7,0,8,1,3,8,1,7,0,5,6,3,7}

Returns: "Impossible"
9

4

{4,2,6,5,7,0,8,1,1,4,1,6,0,3,7,2}

{2,6,5,7,0,8,1,3,8,1,7,0,5,6,3,7}

Returns: "Impossible"
20

4

{19,8,17,12,2,1,4,16,7,10,6,11,6,6,4,6,12,10,10,0,6,0,4,4,0,4,10,1,6,7,6,11,10,0,0,10,12}

{8,14,5,2,1,4,16,7,10,6,11,0,0,10,1,10,11,11,16,2,11,1,12,2,12,12,12,4,1,1,7,7,1,6,1,12,2}

Returns: "Possible"
20

15

{19,8,17,12,2,1,4,16,7,10,6,11,6,6,4,6,12,10,10,0,6,0,4,4,0,4,10,1,6,7,6,11,10,0,0,10,12}

{8,14,5,2,1,4,16,7,10,6,11,0,0,10,1,10,11,11,16,2,11,1,12,2,12,12,12,4,1,1,7,7,1,6,1,12,2}

Returns: "Possible"
20

3

{19,8,17,12,2,1,4,16,7,10,6,11,6,6,4,6,12,10,10,0,6,0,4,4,0,4,10,1,6,7,6,11,10,0,0,10,12}

{8,14,5,2,1,4,16,7,10,6,11,0,0,10,1,10,11,11,16,2,11,1,12,2,12,12,12,4,1,1,7,7,1,6,1,12,2}

Returns: "Possible"
6

6

{1}

{2}

Returns: "Possible"
6

3

{1}

{2}

Returns: "Possible"
6

5

{1}

{2}

Returns: "Possible"
23

5

{0,19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,19,7,5,16,2,0,22,2,16,3,19,1,2,13,16,13,19,1,7,12,15,12,12,19,15,22,1,12,16,16,20,12,20,7,16,17,12,5,9,12,12,10,7,3,9,12,1,3,13,22,7,16,17,15,20,17,17,5,17,7,0,10,10,22,15,11,22,19,19,22,16,16,13,10,10}

{19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,20,15,19,0,13,0,3,11,1,5,20,3,9,17,9,19,7,3,5,3,19,7,0,13,1,1,17,17,3,20,9,17,9,2,9,0,7,1,7,1,13,1,11,1,17,11,3,15,1,11,1,1,0,15,5,17,19,7,7,20,19,5,0,20,9,22,0,1,13,9,10,22,11,0,7,2}

Returns: "Possible"
23

19

{0,19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,19,7,5,16,2,0,22,2,16,3,19,1,2,13,16,13,19,1,7,12,15,12,12,19,15,22,1,12,16,16,20,12,20,7,16,17,12,5,9,12,12,10,7,3,9,12,1,3,13,22,7,16,17,15,20,17,17,5,17,7,0,10,10,22,15,11,22,19,19,22,16,16,13,10,10}

{19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,20,15,19,0,13,0,3,11,1,5,20,3,9,17,9,19,7,3,5,3,19,7,0,13,1,1,17,17,3,20,9,17,9,2,9,0,7,1,7,1,13,1,11,1,17,11,3,15,1,11,1,1,0,15,5,17,19,7,7,20,19,5,0,20,9,22,0,1,13,9,10,22,11,0,7,2}

Returns: "Possible"
23

20

{0,19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,19,7,5,16,2,0,22,2,16,3,19,1,2,13,16,13,19,1,7,12,15,12,12,19,15,22,1,12,16,16,20,12,20,7,16,17,12,5,9,12,12,10,7,3,9,12,1,3,13,22,7,16,17,15,20,17,17,5,17,7,0,10,10,22,15,11,22,19,19,22,16,16,13,10,10}

{19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,20,15,19,0,13,0,3,11,1,5,20,3,9,17,9,19,7,3,5,3,19,7,0,13,1,1,17,17,3,20,9,17,9,2,9,0,7,1,7,1,13,1,11,1,17,11,3,15,1,11,1,1,0,15,5,17,19,7,7,20,19,5,0,20,9,22,0,1,13,9,10,22,11,0,7,2}

Returns: "Possible"
23

9

{0,19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,19,7,5,16,2,0,22,2,16,3,19,1,2,13,16,13,19,1,7,12,15,12,12,19,15,22,1,12,16,16,20,12,20,7,16,17,12,5,9,12,12,10,7,3,9,12,1,3,13,22,7,16,17,15,20,17,17,5,17,7,0,10,10,22,15,11,22,19,19,22,16,16,13,10,10}

{19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,20,15,19,0,13,0,3,11,1,5,20,3,9,17,9,19,7,3,5,3,19,7,0,13,1,1,17,17,3,20,9,17,9,2,9,0,7,1,7,1,13,1,11,1,17,11,3,15,1,11,1,1,0,15,5,17,19,7,7,20,19,5,0,20,9,22,0,1,13,9,10,22,11,0,7,2}

Returns: "Impossible"
23

8

{0,19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,19,7,5,16,2,0,22,2,16,3,19,1,2,13,16,13,19,1,7,12,15,12,12,19,15,22,1,12,16,16,20,12,20,7,16,17,12,5,9,12,12,10,7,3,9,12,1,3,13,22,7,16,17,15,20,17,17,5,17,7,0,10,10,22,15,11,22,19,19,22,16,16,13,10,10}

{19,15,13,16,5,12,17,10,2,7,11,3,9,22,1,20,15,19,0,13,0,3,11,1,5,20,3,9,17,9,19,7,3,5,3,19,7,0,13,1,1,17,17,3,20,9,17,9,2,9,0,7,1,7,1,13,1,11,1,17,11,3,15,1,11,1,1,0,15,5,17,19,7,7,20,19,5,0,20,9,22,0,1,13,9,10,22,11,0,7,2}

Returns: "Impossible"
17

12

{7,10,3,8,2,9,3,3,7,2}

{10,3,9,2,12,7,10,9,3,8}

Returns: "Possible"
17

5

{7,10,3,8,2,9,3,3,7,2}

{10,3,9,2,12,7,10,9,3,8}

Returns: "Possible"
17

3

{7,10,3,8,2,9,3,3,7,2}

{10,3,9,2,12,7,10,9,3,8}

Returns: "Possible"
52

32

{2,31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,10,42,12,48,19,26,34,11,36,9,2,3,28,38,46,51,22,37,1,28,23,25,38,27,4,7,11,20,31,38,7,1,38,20,13,36,23,29,7,17,8,36,22,28,49,1,8,2,35,22,49,44,7,0,22,2,29,27,13,14,23,35,32,50,36,49,11,36,31,35,31,23,50,0,44,32,28,27,51,35,29,48,0,20,23,49,50,7,13,29,32,3,49,0,25,20,20,25,29,4,44,8,3,37,1,1,25,50,0,31,51,13,0,8,14,20,14,31,14,25,7,3,20,23,46,38,2,36,11,27,29,46,49,22,11,0,20,31,32,12,31,25,23,23,50,32,44,25,50,14,11,9,28,20,2,8,4,38,0,22,20,23,44,14,36,28,11,11,7,31,28,44,13,14,4,14,2,44,49,25,51,37,28,8,14,20,1,35,44,11,8,9,25,37,2,0,2,31,11,0,20,9,4,44,23,8,27,8,35,7,28,31,36,7,8,32,4,51,31,35,17,23,9,25,25,36,51,37,14,7,27,31,25,14,11,51}

{31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,49,42,12,48,17,43,39,21,37,3,51,22,0,46,49,2,32,31,7,4,3,51,22,14,8,49,46,1,14,3,25,38,8,20,1,9,11,51,8,0,42,20,32,37,4,11,20,27,40,50,37,11,46,49,38,23,38,50,9,38,0,49,28,9,9,32,9,3,46,40,9,36,14,3,51,37,40,13,51,25,3,20,10,32,29,29,7,14,22,28,49,22,9,13,40,28,23,9,40,28,37,3,40,13,9,50,49,31,51,29,25,32,35,25,46,2,50,36,27,49,51,28,7,31,25,44,35,1,38,40,13,13,13,4,46,36,31,1,29,14,42,40,29,2,4,11,46,8,38,14,49,32,4,40,36,36,23,51,44,49,50,7,44,23,8,2,51,46,28,3,3,40,32,14,38,35,35,4,23,44,49,40,29,4,38,27,11,3,51,49,31,9,28,7,44,1,51,28,1,36,31,35,7,28,40,8,49,25,11,51,8,40,36,50,22,29,50,50,20,51,46,12,1,29,44,51,31,23,9,22,40,32,25,32,23,32,23}

Returns: "Possible"
52

15

{2,31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,10,42,12,48,19,26,34,11,36,9,2,3,28,38,46,51,22,37,1,28,23,25,38,27,4,7,11,20,31,38,7,1,38,20,13,36,23,29,7,17,8,36,22,28,49,1,8,2,35,22,49,44,7,0,22,2,29,27,13,14,23,35,32,50,36,49,11,36,31,35,31,23,50,0,44,32,28,27,51,35,29,48,0,20,23,49,50,7,13,29,32,3,49,0,25,20,20,25,29,4,44,8,3,37,1,1,25,50,0,31,51,13,0,8,14,20,14,31,14,25,7,3,20,23,46,38,2,36,11,27,29,46,49,22,11,0,20,31,32,12,31,25,23,23,50,32,44,25,50,14,11,9,28,20,2,8,4,38,0,22,20,23,44,14,36,28,11,11,7,31,28,44,13,14,4,14,2,44,49,25,51,37,28,8,14,20,1,35,44,11,8,9,25,37,2,0,2,31,11,0,20,9,4,44,23,8,27,8,35,7,28,31,36,7,8,32,4,51,31,35,17,23,9,25,25,36,51,37,14,7,27,31,25,14,11,51}

{31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,49,42,12,48,17,43,39,21,37,3,51,22,0,46,49,2,32,31,7,4,3,51,22,14,8,49,46,1,14,3,25,38,8,20,1,9,11,51,8,0,42,20,32,37,4,11,20,27,40,50,37,11,46,49,38,23,38,50,9,38,0,49,28,9,9,32,9,3,46,40,9,36,14,3,51,37,40,13,51,25,3,20,10,32,29,29,7,14,22,28,49,22,9,13,40,28,23,9,40,28,37,3,40,13,9,50,49,31,51,29,25,32,35,25,46,2,50,36,27,49,51,28,7,31,25,44,35,1,38,40,13,13,13,4,46,36,31,1,29,14,42,40,29,2,4,11,46,8,38,14,49,32,4,40,36,36,23,51,44,49,50,7,44,23,8,2,51,46,28,3,3,40,32,14,38,35,35,4,23,44,49,40,29,4,38,27,11,3,51,49,31,9,28,7,44,1,51,28,1,36,31,35,7,28,40,8,49,25,11,51,8,40,36,50,22,29,50,50,20,51,46,12,1,29,44,51,31,23,9,22,40,32,25,32,23,32,23}

Returns: "Possible"
52

9

{2,31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,10,42,12,48,19,26,34,11,36,9,2,3,28,38,46,51,22,37,1,28,23,25,38,27,4,7,11,20,31,38,7,1,38,20,13,36,23,29,7,17,8,36,22,28,49,1,8,2,35,22,49,44,7,0,22,2,29,27,13,14,23,35,32,50,36,49,11,36,31,35,31,23,50,0,44,32,28,27,51,35,29,48,0,20,23,49,50,7,13,29,32,3,49,0,25,20,20,25,29,4,44,8,3,37,1,1,25,50,0,31,51,13,0,8,14,20,14,31,14,25,7,3,20,23,46,38,2,36,11,27,29,46,49,22,11,0,20,31,32,12,31,25,23,23,50,32,44,25,50,14,11,9,28,20,2,8,4,38,0,22,20,23,44,14,36,28,11,11,7,31,28,44,13,14,4,14,2,44,49,25,51,37,28,8,14,20,1,35,44,11,8,9,25,37,2,0,2,31,11,0,20,9,4,44,23,8,27,8,35,7,28,31,36,7,8,32,4,51,31,35,17,23,9,25,25,36,51,37,14,7,27,31,25,14,11,51}

{31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,49,42,12,48,17,43,39,21,37,3,51,22,0,46,49,2,32,31,7,4,3,51,22,14,8,49,46,1,14,3,25,38,8,20,1,9,11,51,8,0,42,20,32,37,4,11,20,27,40,50,37,11,46,49,38,23,38,50,9,38,0,49,28,9,9,32,9,3,46,40,9,36,14,3,51,37,40,13,51,25,3,20,10,32,29,29,7,14,22,28,49,22,9,13,40,28,23,9,40,28,37,3,40,13,9,50,49,31,51,29,25,32,35,25,46,2,50,36,27,49,51,28,7,31,25,44,35,1,38,40,13,13,13,4,46,36,31,1,29,14,42,40,29,2,4,11,46,8,38,14,49,32,4,40,36,36,23,51,44,49,50,7,44,23,8,2,51,46,28,3,3,40,32,14,38,35,35,4,23,44,49,40,29,4,38,27,11,3,51,49,31,9,28,7,44,1,51,28,1,36,31,35,7,28,40,8,49,25,11,51,8,40,36,50,22,29,50,50,20,51,46,12,1,29,44,51,31,23,9,22,40,32,25,32,23,32,23}

Returns: "Possible"
52

29

{2,31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,10,42,12,48,19,26,34,11,36,9,2,3,28,38,46,51,22,37,1,28,23,25,38,27,4,7,11,20,31,38,7,1,38,20,13,36,23,29,7,17,8,36,22,28,49,1,8,2,35,22,49,44,7,0,22,2,29,27,13,14,23,35,32,50,36,49,11,36,31,35,31,23,50,0,44,32,28,27,51,35,29,48,0,20,23,49,50,7,13,29,32,3,49,0,25,20,20,25,29,4,44,8,3,37,1,1,25,50,0,31,51,13,0,8,14,20,14,31,14,25,7,3,20,23,46,38,2,36,11,27,29,46,49,22,11,0,20,31,32,12,31,25,23,23,50,32,44,25,50,14,11,9,28,20,2,8,4,38,0,22,20,23,44,14,36,28,11,11,7,31,28,44,13,14,4,14,2,44,49,25,51,37,28,8,14,20,1,35,44,11,8,9,25,37,2,0,2,31,11,0,20,9,4,44,23,8,27,8,35,7,28,31,36,7,8,32,4,51,31,35,17,23,9,25,25,36,51,37,14,7,27,31,25,14,11,51}

{31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,49,42,12,48,17,43,39,21,37,3,51,22,0,46,49,2,32,31,7,4,3,51,22,14,8,49,46,1,14,3,25,38,8,20,1,9,11,51,8,0,42,20,32,37,4,11,20,27,40,50,37,11,46,49,38,23,38,50,9,38,0,49,28,9,9,32,9,3,46,40,9,36,14,3,51,37,40,13,51,25,3,20,10,32,29,29,7,14,22,28,49,22,9,13,40,28,23,9,40,28,37,3,40,13,9,50,49,31,51,29,25,32,35,25,46,2,50,36,27,49,51,28,7,31,25,44,35,1,38,40,13,13,13,4,46,36,31,1,29,14,42,40,29,2,4,11,46,8,38,14,49,32,4,40,36,36,23,51,44,49,50,7,44,23,8,2,51,46,28,3,3,40,32,14,38,35,35,4,23,44,49,40,29,4,38,27,11,3,51,49,31,9,28,7,44,1,51,28,1,36,31,35,7,28,40,8,49,25,11,51,8,40,36,50,22,29,50,50,20,51,46,12,1,29,44,51,31,23,9,22,40,32,25,32,23,32,23}

Returns: "Impossible"
52

27

{2,31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,10,42,12,48,19,26,34,11,36,9,2,3,28,38,46,51,22,37,1,28,23,25,38,27,4,7,11,20,31,38,7,1,38,20,13,36,23,29,7,17,8,36,22,28,49,1,8,2,35,22,49,44,7,0,22,2,29,27,13,14,23,35,32,50,36,49,11,36,31,35,31,23,50,0,44,32,28,27,51,35,29,48,0,20,23,49,50,7,13,29,32,3,49,0,25,20,20,25,29,4,44,8,3,37,1,1,25,50,0,31,51,13,0,8,14,20,14,31,14,25,7,3,20,23,46,38,2,36,11,27,29,46,49,22,11,0,20,31,32,12,31,25,23,23,50,32,44,25,50,14,11,9,28,20,2,8,4,38,0,22,20,23,44,14,36,28,11,11,7,31,28,44,13,14,4,14,2,44,49,25,51,37,28,8,14,20,1,35,44,11,8,9,25,37,2,0,2,31,11,0,20,9,4,44,23,8,27,8,35,7,28,31,36,7,8,32,4,51,31,35,17,23,9,25,25,36,51,37,14,7,27,31,25,14,11,51}

{31,44,29,35,23,28,7,22,11,32,51,4,20,3,38,36,46,14,8,9,25,1,50,37,0,13,27,40,49,42,12,48,17,43,39,21,37,3,51,22,0,46,49,2,32,31,7,4,3,51,22,14,8,49,46,1,14,3,25,38,8,20,1,9,11,51,8,0,42,20,32,37,4,11,20,27,40,50,37,11,46,49,38,23,38,50,9,38,0,49,28,9,9,32,9,3,46,40,9,36,14,3,51,37,40,13,51,25,3,20,10,32,29,29,7,14,22,28,49,22,9,13,40,28,23,9,40,28,37,3,40,13,9,50,49,31,51,29,25,32,35,25,46,2,50,36,27,49,51,28,7,31,25,44,35,1,38,40,13,13,13,4,46,36,31,1,29,14,42,40,29,2,4,11,46,8,38,14,49,32,4,40,36,36,23,51,44,49,50,7,44,23,8,2,51,46,28,3,3,40,32,14,38,35,35,4,23,44,49,40,29,4,38,27,11,3,51,49,31,9,28,7,44,1,51,28,1,36,31,35,7,28,40,8,49,25,11,51,8,40,36,50,22,29,50,50,20,51,46,12,1,29,44,51,31,23,9,22,40,32,25,32,23,32,23}

Returns: "Impossible"
103

61

{82,66,83,31,89,16,62,80,5,102,36,10,95,64,58,69,75,63,98,76,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,53,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,74,33,41,102,44,73,67,41,7,67,99,57,61,55,38,60,12,93,0,57,86,1,16,40,18,87,44,76,86,12,5,68,67,41,92,26,4,41,12,52,25,6,14,31,12,84,48,34,67,1,40,23,10,48,87,55,8,76,71,23,85,93,23,31,67,32,29,55,86,29,0,33,71,53,50,34,71,92,73,9,61,23,90,0,12,46,78,18,55,97,55,59,16,71,21,76,47,87,4,57,76,95,71,94,1,17,8,9,36,93,7,76,48,86,1,9,82,29,84,33,81,38,72,90,19,23,71,24,82,32,31,45,68,23,93,46,40,65,42,47,16,88,68,11,14,83,46,10,79,5,7,76,68,99,0,29,88,76,2,1,46,88,67,47,53,80,100,94,40,73,42,69,71,15,48,0,99,7,72,90,15,93,50,46,97,41,46,83,61,25,34,58,86,33,40,0,48,82,33,95,55,44,89,57,15,86,79,52,44,16,84,36,42,72,68,97,55,37,21,91,72,91,36,5,85,97,19,81,58,1,64,59,33,34,79,61,102,79,4,19,29,8,42,99,18,1,94,94,76,50,99,7,102,80,40,80,79,41,79,76,76,5,57,84,86,60,79,86,58,89,29,25,99,61,9,11,15,99,41,27,8,31,44,41,4,57,91,91,5,60,80,80,73,7,83,94,95,60,82,73,55,33,81,94,67,23,61,71,36,40,0,31,33,84,87,46,44,55,72,91,8,0,67,23,17,93,102,68,87,29,87,29,61,38,16,102,13,16,33,90,68,7,62,53,12,68,80,27,62,5,91,42,67,36,90,2,27,83,12,85,80,38,55,90,7,80,99,86,68,97,73,7,15,91,0,101,88,102,34,99,72,93,41,12,76,19,35,34,33,38,99,31,95,26,55,73,40,40,61,12,19,97,60,65,76,41,38,78,94,15,59,73,71,26,64,46,24,93,29,18,53,2,10,99,40,38,86,99,82,86,25,2,31,25,16,46,90,76,88,73,21,17,1,47,24,85,38,52,83,94,85,85,92,97,27,25,92,97,0,1,66,55,25,61,72,40,16,33,41,94,76,87,97,19,67,26,89,47,33,57,25,4,76,95,46,40,23,38,30,59,80,81,13,27,89,102,93,60,40,40,83,91,17,15,11,90,47,99,26,26,7,68,11,87,7,73,5,8,46,33,72,62,33,5,68,26,40,47,25,41,34,55,46,5,91,76,55,67,99,26,73,44,60,71,84,55,58,48,10,87,88,25}

{66,83,31,89,16,62,80,5,102,36,10,95,64,58,92,75,63,98,37,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,33,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,14,43,72,86,62,47,12,44,84,8,29,67,42,0,8,57,19,87,34,86,88,26,61,102,57,100,55,57,19,85,8,31,97,25,25,58,93,24,47,57,35,44,65,78,10,7,90,34,40,1,41,48,12,62,26,85,85,34,0,79,71,71,86,41,82,42,81,76,68,1,26,67,97,67,78,81,48,90,89,29,13,93,48,42,15,7,25,81,9,44,86,8,72,62,23,6,60,26,79,30,93,60,10,90,86,34,35,1,101,89,76,97,88,55,60,68,13,62,57,34,8,14,33,29,1,46,57,85,11,36,91,80,11,73,47,72,73,7,81,29,29,89,12,41,9,4,62,15,62,48,58,61,67,85,25,61,26,59,68,38,23,72,15,88,71,11,10,6,44,93,48,59,75,90,48,59,25,73,1,47,72,7,38,14,40,79,7,2,95,23,71,2,62,55,42,44,99,90,31,41,92,8,15,82,84,33,33,94,17,8,95,61,5,93,60,1,68,41,69,100,27,55,6,16,83,59,12,79,27,31,44,95,57,93,12,99,71,89,88,100,84,88,44,86,26,13,97,40,0,38,11,0,79,5,36,42,64,76,25,68,26,47,80,94,55,94,44,76,41,31,36,15,93,23,99,27,14,2,86,42,35,40,92,68,60,14,40,4,100,83,48,36,66,61,47,62,7,92,61,5,61,76,8,14,1,93,88,79,68,5,67,86,89,84,79,33,76,94,41,15,35,48,23,97,79,35,8,5,86,48,73,8,47,41,41,62,89,101,82,42,46,42,87,16,81,88,57,83,6,80,102,52,25,2,5,55,42,78,66,41,87,95,73,72,99,23,16,25,67,93,76,76,68,59,21,60,91,41,58,86,1,94,47,46,23,71,12,65,42,44,41,19,80,92,90,19,87,29,97,29,87,93,48,87,50,97,47,99,100,44,60,79,57,34,86,92,48,50,79,84,53,30,19,92,88,59,7,84,76,95,2,88,38,102,90,10,79,57,7,61,84,91,81,86,86,32,48,68,50,5,85,94,7,31,90,13,72,80,26,44,72,5,93,85,19,15,19,83,40,73,29,79,90,2,23,34,47,36,85,99,93,88,53,41,83,38,42,67,42,100,72,36,45,81,14,62,92,12,41,84,76,64,30,101,68,21,29,61,33,71,46,90,79,32,76,41,90,83,93,72,94,93,82,46,66,97,73,55,73,7,60,2,67,19,31,11,12,84,72,19,76,34,90,94,94,97,23,64,25,5,8,90,99}

Returns: "Possible"
103

99

{82,66,83,31,89,16,62,80,5,102,36,10,95,64,58,69,75,63,98,76,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,53,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,74,33,41,102,44,73,67,41,7,67,99,57,61,55,38,60,12,93,0,57,86,1,16,40,18,87,44,76,86,12,5,68,67,41,92,26,4,41,12,52,25,6,14,31,12,84,48,34,67,1,40,23,10,48,87,55,8,76,71,23,85,93,23,31,67,32,29,55,86,29,0,33,71,53,50,34,71,92,73,9,61,23,90,0,12,46,78,18,55,97,55,59,16,71,21,76,47,87,4,57,76,95,71,94,1,17,8,9,36,93,7,76,48,86,1,9,82,29,84,33,81,38,72,90,19,23,71,24,82,32,31,45,68,23,93,46,40,65,42,47,16,88,68,11,14,83,46,10,79,5,7,76,68,99,0,29,88,76,2,1,46,88,67,47,53,80,100,94,40,73,42,69,71,15,48,0,99,7,72,90,15,93,50,46,97,41,46,83,61,25,34,58,86,33,40,0,48,82,33,95,55,44,89,57,15,86,79,52,44,16,84,36,42,72,68,97,55,37,21,91,72,91,36,5,85,97,19,81,58,1,64,59,33,34,79,61,102,79,4,19,29,8,42,99,18,1,94,94,76,50,99,7,102,80,40,80,79,41,79,76,76,5,57,84,86,60,79,86,58,89,29,25,99,61,9,11,15,99,41,27,8,31,44,41,4,57,91,91,5,60,80,80,73,7,83,94,95,60,82,73,55,33,81,94,67,23,61,71,36,40,0,31,33,84,87,46,44,55,72,91,8,0,67,23,17,93,102,68,87,29,87,29,61,38,16,102,13,16,33,90,68,7,62,53,12,68,80,27,62,5,91,42,67,36,90,2,27,83,12,85,80,38,55,90,7,80,99,86,68,97,73,7,15,91,0,101,88,102,34,99,72,93,41,12,76,19,35,34,33,38,99,31,95,26,55,73,40,40,61,12,19,97,60,65,76,41,38,78,94,15,59,73,71,26,64,46,24,93,29,18,53,2,10,99,40,38,86,99,82,86,25,2,31,25,16,46,90,76,88,73,21,17,1,47,24,85,38,52,83,94,85,85,92,97,27,25,92,97,0,1,66,55,25,61,72,40,16,33,41,94,76,87,97,19,67,26,89,47,33,57,25,4,76,95,46,40,23,38,30,59,80,81,13,27,89,102,93,60,40,40,83,91,17,15,11,90,47,99,26,26,7,68,11,87,7,73,5,8,46,33,72,62,33,5,68,26,40,47,25,41,34,55,46,5,91,76,55,67,99,26,73,44,60,71,84,55,58,48,10,87,88,25}

{66,83,31,89,16,62,80,5,102,36,10,95,64,58,92,75,63,98,37,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,33,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,14,43,72,86,62,47,12,44,84,8,29,67,42,0,8,57,19,87,34,86,88,26,61,102,57,100,55,57,19,85,8,31,97,25,25,58,93,24,47,57,35,44,65,78,10,7,90,34,40,1,41,48,12,62,26,85,85,34,0,79,71,71,86,41,82,42,81,76,68,1,26,67,97,67,78,81,48,90,89,29,13,93,48,42,15,7,25,81,9,44,86,8,72,62,23,6,60,26,79,30,93,60,10,90,86,34,35,1,101,89,76,97,88,55,60,68,13,62,57,34,8,14,33,29,1,46,57,85,11,36,91,80,11,73,47,72,73,7,81,29,29,89,12,41,9,4,62,15,62,48,58,61,67,85,25,61,26,59,68,38,23,72,15,88,71,11,10,6,44,93,48,59,75,90,48,59,25,73,1,47,72,7,38,14,40,79,7,2,95,23,71,2,62,55,42,44,99,90,31,41,92,8,15,82,84,33,33,94,17,8,95,61,5,93,60,1,68,41,69,100,27,55,6,16,83,59,12,79,27,31,44,95,57,93,12,99,71,89,88,100,84,88,44,86,26,13,97,40,0,38,11,0,79,5,36,42,64,76,25,68,26,47,80,94,55,94,44,76,41,31,36,15,93,23,99,27,14,2,86,42,35,40,92,68,60,14,40,4,100,83,48,36,66,61,47,62,7,92,61,5,61,76,8,14,1,93,88,79,68,5,67,86,89,84,79,33,76,94,41,15,35,48,23,97,79,35,8,5,86,48,73,8,47,41,41,62,89,101,82,42,46,42,87,16,81,88,57,83,6,80,102,52,25,2,5,55,42,78,66,41,87,95,73,72,99,23,16,25,67,93,76,76,68,59,21,60,91,41,58,86,1,94,47,46,23,71,12,65,42,44,41,19,80,92,90,19,87,29,97,29,87,93,48,87,50,97,47,99,100,44,60,79,57,34,86,92,48,50,79,84,53,30,19,92,88,59,7,84,76,95,2,88,38,102,90,10,79,57,7,61,84,91,81,86,86,32,48,68,50,5,85,94,7,31,90,13,72,80,26,44,72,5,93,85,19,15,19,83,40,73,29,79,90,2,23,34,47,36,85,99,93,88,53,41,83,38,42,67,42,100,72,36,45,81,14,62,92,12,41,84,76,64,30,101,68,21,29,61,33,71,46,90,79,32,76,41,90,83,93,72,94,93,82,46,66,97,73,55,73,7,60,2,67,19,31,11,12,84,72,19,76,34,90,94,94,97,23,64,25,5,8,90,99}

Returns: "Possible"
103

18

{82,66,83,31,89,16,62,80,5,102,36,10,95,64,58,69,75,63,98,76,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,53,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,74,33,41,102,44,73,67,41,7,67,99,57,61,55,38,60,12,93,0,57,86,1,16,40,18,87,44,76,86,12,5,68,67,41,92,26,4,41,12,52,25,6,14,31,12,84,48,34,67,1,40,23,10,48,87,55,8,76,71,23,85,93,23,31,67,32,29,55,86,29,0,33,71,53,50,34,71,92,73,9,61,23,90,0,12,46,78,18,55,97,55,59,16,71,21,76,47,87,4,57,76,95,71,94,1,17,8,9,36,93,7,76,48,86,1,9,82,29,84,33,81,38,72,90,19,23,71,24,82,32,31,45,68,23,93,46,40,65,42,47,16,88,68,11,14,83,46,10,79,5,7,76,68,99,0,29,88,76,2,1,46,88,67,47,53,80,100,94,40,73,42,69,71,15,48,0,99,7,72,90,15,93,50,46,97,41,46,83,61,25,34,58,86,33,40,0,48,82,33,95,55,44,89,57,15,86,79,52,44,16,84,36,42,72,68,97,55,37,21,91,72,91,36,5,85,97,19,81,58,1,64,59,33,34,79,61,102,79,4,19,29,8,42,99,18,1,94,94,76,50,99,7,102,80,40,80,79,41,79,76,76,5,57,84,86,60,79,86,58,89,29,25,99,61,9,11,15,99,41,27,8,31,44,41,4,57,91,91,5,60,80,80,73,7,83,94,95,60,82,73,55,33,81,94,67,23,61,71,36,40,0,31,33,84,87,46,44,55,72,91,8,0,67,23,17,93,102,68,87,29,87,29,61,38,16,102,13,16,33,90,68,7,62,53,12,68,80,27,62,5,91,42,67,36,90,2,27,83,12,85,80,38,55,90,7,80,99,86,68,97,73,7,15,91,0,101,88,102,34,99,72,93,41,12,76,19,35,34,33,38,99,31,95,26,55,73,40,40,61,12,19,97,60,65,76,41,38,78,94,15,59,73,71,26,64,46,24,93,29,18,53,2,10,99,40,38,86,99,82,86,25,2,31,25,16,46,90,76,88,73,21,17,1,47,24,85,38,52,83,94,85,85,92,97,27,25,92,97,0,1,66,55,25,61,72,40,16,33,41,94,76,87,97,19,67,26,89,47,33,57,25,4,76,95,46,40,23,38,30,59,80,81,13,27,89,102,93,60,40,40,83,91,17,15,11,90,47,99,26,26,7,68,11,87,7,73,5,8,46,33,72,62,33,5,68,26,40,47,25,41,34,55,46,5,91,76,55,67,99,26,73,44,60,71,84,55,58,48,10,87,88,25}

{66,83,31,89,16,62,80,5,102,36,10,95,64,58,92,75,63,98,37,25,46,60,40,94,59,41,71,85,1,19,87,84,47,67,97,99,8,73,7,12,55,68,26,42,2,57,72,29,48,34,88,79,93,86,44,0,38,61,90,23,15,33,100,11,78,81,27,9,65,30,50,13,17,4,24,21,32,91,52,35,45,101,18,6,14,43,72,86,62,47,12,44,84,8,29,67,42,0,8,57,19,87,34,86,88,26,61,102,57,100,55,57,19,85,8,31,97,25,25,58,93,24,47,57,35,44,65,78,10,7,90,34,40,1,41,48,12,62,26,85,85,34,0,79,71,71,86,41,82,42,81,76,68,1,26,67,97,67,78,81,48,90,89,29,13,93,48,42,15,7,25,81,9,44,86,8,72,62,23,6,60,26,79,30,93,60,10,90,86,34,35,1,101,89,76,97,88,55,60,68,13,62,57,34,8,14,33,29,1,46,57,85,11,36,91,80,11,73,47,72,73,7,81,29,29,89,12,41,9,4,62,15,62,48,58,61,67,85,25,61,26,59,68,38,23,72,15,88,71,11,10,6,44,93,48,59,75,90,48,59,25,73,1,47,72,7,38,14,40,79,7,2,95,23,71,2,62,55,42,44,99,90,31,41,92,8,15,82,84,33,33,94,17,8,95,61,5,93,60,1,68,41,69,100,27,55,6,16,83,59,12,79,27,31,44,95,57,93,12,99,71,89,88,100,84,88,44,86,26,13,97,40,0,38,11,0,79,5,36,42,64,76,25,68,26,47,80,94,55,94,44,76,41,31,36,15,93,23,99,27,14,2,86,42,35,40,92,68,60,14,40,4,100,83,48,36,66,61,47,62,7,92,61,5,61,76,8,14,1,93,88,79,68,5,67,86,89,84,79,33,76,94,41,15,35,48,23,97,79,35,8,5,86,48,73,8,47,41,41,62,89,101,82,42,46,42,87,16,81,88,57,83,6,80,102,52,25,2,5,55,42,78,66,41,87,95,73,72,99,23,16,25,67,93,76,76,68,59,21,60,91,41,58,86,1,94,47,46,23,71,12,65,42,44,41,19,80,92,90,19,87,29,97,29,87,93,48,87,50,97,47,99,100,44,60,79,57,34,86,92,48,50,79,84,53,30,19,92,88,59,7,84,76,95,2,88,38,102,90,10,79,57,7,61,84,91,81,86,86,32,48,68,50,5,85,94,7,31,90,13,72,80,26,44,72,5,93,85,19,15,19,83,40,73,29,79,90,2,23,34,47,36,85,99,93,88,53,41,83,38,42,67,42,100,72,36,45,81,14,62,92,12,41,84,76,64,30,101,68,21,29,61,33,71,46,90,79,32,76,41,90,83,93,72,94,93,82,46,66,97,73,55,73,7,60,2,67,19,31,11,12,84,72,19,76,34,90,94,94,97,23,64,25,5,8,90,99}

Returns: "Possible"
152

131

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Returns: "Possible"
152

11

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Returns: "Possible"
152

24

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Returns: "Possible"
152

112

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Returns: "Impossible"
152

75

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Returns: "Impossible"
189

7

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Returns: "Possible"
189

51

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Returns: "Possible"
189

24

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Returns: "Possible"
189

122

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Returns: "Impossible"
189

74

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,132,89,26,167,47,112,121,3,53,105,34,166,28,129,2,64,131,22,15,54,34,70,176,89,87,71,161,150,76,63,103,130,53,58,180,155,159,111,95,77,89,35,81,183,176,45,171,18,170,126,101,116,24,57,3,104,45,109,121,33,101,75,80,31,147,105,73,124,187,85,24,16,90,72,45,26,54,16,0,165,188,137,130,13,170,89,29,88,104,62,71,158,33,21,93,122,158,181,151,1,23,28,137,147,155,2,45,28,117,181,140,49,21,137,147,70,165,159,161,183,140,97,89,10,21,136,49,158,0,18,70,18,175,84,7,165,80,117,155,124,54,169,61,77,77,92,93,169,6,25,25,29,21,165,140,81,23,53,104,26,181,148,78,49,83,67,61,95,169,83,160,145,51,126,77,115,42,65,139,6,187,85,164,18,16,97,25,98,13,181,33,170,72,67,98,160,101,81,66,160,148,165,23,53,61,24,151,130,174,82,136,12,141,53,87,160,56,121,97,77,148,151,112,122,85,46,60,53,54,6,137,125,22,83,121,167,149,12,89,111,126,79,87,98,61,113,158,97,126,164,76,69,129,165,19,28,136,80,88,130,167,94,23,94,125,16,59,30,136,81,139,95,84,187,90,122,65,140,186,141,76,117,71,155,160,155,56,178,62,163,112,1,65,54,163,152,0,124,187,27,79,75,93,139,70,169,35,67,83,81,49,62,141,53,10,183,175,107,176,121,124,29,111,172,61,47,152,56,66,16,172,7,112,144,28,84,137,166,6,34,180,112,126,21,3,45,44,46,33,24,187,175,124,178,3,147,54,12,158,163,80,64,13,75,63,139,29,87,13,170,44,168,22,123,73,1,27,98,188,73,147,42,155,107,15,121,168,186,187,21,24,113,24,129,94,105,88,24,101,25,83,76,70,42,164,1,29,31,60,15,158,181,152,83,71,148,149,23,70,117,180,178,67,16,92,112,176,81,98,146,147,51,54,148,15,123,148,90,13,0,81,115,6,15,117,75,33,71,25,62,0,168,18,38,65,83,159,161,111,34,122,12,83,13,65,161,1,81,12,61,57,104,56,49,92,88,1,158,129,163,26,31,3,10,47,111,122,76,36,112,98,49,83,113,125,51,126,3,63,63,124,129,10,53,47,124,21,109,108,61,167,131,151,12,1,109,61,137,88,76,3,141,66,101,73,165,117,15,31,63,109,2,62,164,169,175,113,136,75,121,176,61,31,131,130,93,93,70,165,172,103,76,2,72,178,136,163,151,76,94,98,101,94,172,181,115,175,93,123,89,83,29,158,144,180,146,77,175,117,38,42,186,152,103,90,13,144,56,61,14,83,89,167,15,83,161,109,58,188,66,73,181,90,155,7,60,70,187,132,71,81,6,113,174,26,28,49,0,59,178,12,90,109,145,87,103,67,125,131,57,18,98,121,51,147,7,112,13,146,172,51,113,97,158,13,53,115,167,81,67,169,23,178,105,63,54,126,79,104,54,61,84,151,144,103,76,166,95,148,168,82,33,145,63,170,12,15,59,18,73,76,70,80,16,187,2,92,183,140,186,147,97,107,175,2,101,158,160,58,26,16,149,92,27,77,87,51,66,80,172,18,166,1,76,160,188,64,101,101,170,171,108,137,165,158,160,54,161,171,84,30,3,14,93,79,167,95,49,88,109,12,87,186,65,183,54,34,54,18,103,30,115,21,58,18,12,105,165,81,115,141,180,27,172,139,162,159,47,108,139,22,76,10,71,147,152,130,97,149,158,53,51,58,0,167,44,49,109,180,59,145,67,19,15,103,104,172,105,2,10,94,58,140,143,115,28,79,65,180,172,109,79,136,171,64,79,3,159,76,123,16,139,19,84,66,73,26,97,72,101,111,90,144,171,111,29,111,2,123,81,167,172,23,129,163,63,21,125,162,45,67,88,137,33,163,56,101,145,72,145,90,89,149,87,151,121,144,66,25,28,59,61,87,97,38,140,117,3,107,186,88,101,155,98,13,47,109,163,85,56,66,31,181,77,115,122,165,29,166,161,97,168,75,7,61,61,107,59,172,35,47,80,181,27,76,166,174,130,134,178,80,54,147,178,18,56,66,103,170,19,186,141,186,148,82,52,129,100,147,62,30,141,72,144,166,1,58,132,57,77,58,79,47,131,123,30,159,158,13,163,95,31,141,151,155,59,67,14,42,141,47,166,163,113,64,77,115,28,170,93,95,88,66,30,59,33,73,151,158,76,46,57,104,132,126,22,105,188,10,80,35,34,18,146,122,13,1,66,131,122,56,188,85,115,168,90,186,93,160,58,73,140,49,19,161,58,54,95,129,19,7,136,73,170,76,88,6}

Returns: "Impossible"
45

21

{7,3,44,5,0,36,15,24,12,25,23,9,39,18,27,16,40,14,1,29,34,1,32,14,9,9,19,27,18,32,39,1,1,9,40,14,29,32,14,27,27,14,14,34,27,16,40,23,18,1}

{3,44,5,0,36,15,24,12,20,23,19,39,18,27,16,40,14,1,29,34,32,32,18,40,1,27,25,39,27,29,32,34,18,18,29,40,14,29,32,14,40,27,1,29,40,29,9,25,14,29}

Returns: "Possible"
45

28

{7,3,44,5,0,36,15,24,12,25,23,9,39,18,27,16,40,14,1,29,34,1,32,14,9,9,19,27,18,32,39,1,1,9,40,14,29,32,14,27,27,14,14,34,27,16,40,23,18,1}

{3,44,5,0,36,15,24,12,20,23,19,39,18,27,16,40,14,1,29,34,32,32,18,40,1,27,25,39,27,29,32,34,18,18,29,40,14,29,32,14,40,27,1,29,40,29,9,25,14,29}

Returns: "Possible"
45

39

{7,3,44,5,0,36,15,24,12,25,23,9,39,18,27,16,40,14,1,29,34,1,32,14,9,9,19,27,18,32,39,1,1,9,40,14,29,32,14,27,27,14,14,34,27,16,40,23,18,1}

{3,44,5,0,36,15,24,12,20,23,19,39,18,27,16,40,14,1,29,34,32,32,18,40,1,27,25,39,27,29,32,34,18,18,29,40,14,29,32,14,40,27,1,29,40,29,9,25,14,29}

Returns: "Possible"
23

1

{16,0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,21,10,17,20,13,4,14,12,19,12,12,12,14,16,4,3,19,11,15,6,17,2,9,20,6,12,11,14,10,10,10,18,14,2,9,3,19,17,17,12,16,18,12,14,2,22,8,6,12,10,16,10,13,20,12,4,8,14,22,15,6,18,10,19,5,0,16,3,20,9,4,22,12,20,17,0,22,17,13,11,10,9,8,20,20,16,16,10,8,2,16,12,19,18,3,20,14,12,13,12,0,22,6,4,10,12,14,11,9}

{0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,3,1,18,15,18,16,20,17,16,12,15,10,2,12,8,15,22,6,18,6,12,14,11,2,13,4,10,2,17,0,9,15,12,11,16,19,18,4,4,8,16,5,0,20,17,14,15,3,14,13,18,13,13,4,14,0,10,18,10,11,0,20,6,12,13,15,15,6,20,17,17,20,8,15,16,15,5,9,8,18,10,22,19,5,18,12,18,18,6,0,8,9,5,11,22,2,14,10,9,5,14,16,6,17,3,16,22,19,4,10}

Returns: "Possible"
23

2

{16,0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,21,10,17,20,13,4,14,12,19,12,12,12,14,16,4,3,19,11,15,6,17,2,9,20,6,12,11,14,10,10,10,18,14,2,9,3,19,17,17,12,16,18,12,14,2,22,8,6,12,10,16,10,13,20,12,4,8,14,22,15,6,18,10,19,5,0,16,3,20,9,4,22,12,20,17,0,22,17,13,11,10,9,8,20,20,16,16,10,8,2,16,12,19,18,3,20,14,12,13,12,0,22,6,4,10,12,14,11,9}

{0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,3,1,18,15,18,16,20,17,16,12,15,10,2,12,8,15,22,6,18,6,12,14,11,2,13,4,10,2,17,0,9,15,12,11,16,19,18,4,4,8,16,5,0,20,17,14,15,3,14,13,18,13,13,4,14,0,10,18,10,11,0,20,6,12,13,15,15,6,20,17,17,20,8,15,16,15,5,9,8,18,10,22,19,5,18,12,18,18,6,0,8,9,5,11,22,2,14,10,9,5,14,16,6,17,3,16,22,19,4,10}

Returns: "Possible"
23

21

{16,0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,21,10,17,20,13,4,14,12,19,12,12,12,14,16,4,3,19,11,15,6,17,2,9,20,6,12,11,14,10,10,10,18,14,2,9,3,19,17,17,12,16,18,12,14,2,22,8,6,12,10,16,10,13,20,12,4,8,14,22,15,6,18,10,19,5,0,16,3,20,9,4,22,12,20,17,0,22,17,13,11,10,9,8,20,20,16,16,10,8,2,16,12,19,18,3,20,14,12,13,12,0,22,6,4,10,12,14,11,9}

{0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,3,1,18,15,18,16,20,17,16,12,15,10,2,12,8,15,22,6,18,6,12,14,11,2,13,4,10,2,17,0,9,15,12,11,16,19,18,4,4,8,16,5,0,20,17,14,15,3,14,13,18,13,13,4,14,0,10,18,10,11,0,20,6,12,13,15,15,6,20,17,17,20,8,15,16,15,5,9,8,18,10,22,19,5,18,12,18,18,6,0,8,9,5,11,22,2,14,10,9,5,14,16,6,17,3,16,22,19,4,10}

Returns: "Possible"
23

5

{16,0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,21,10,17,20,13,4,14,12,19,12,12,12,14,16,4,3,19,11,15,6,17,2,9,20,6,12,11,14,10,10,10,18,14,2,9,3,19,17,17,12,16,18,12,14,2,22,8,6,12,10,16,10,13,20,12,4,8,14,22,15,6,18,10,19,5,0,16,3,20,9,4,22,12,20,17,0,22,17,13,11,10,9,8,20,20,16,16,10,8,2,16,12,19,18,3,20,14,12,13,12,0,22,6,4,10,12,14,11,9}

{0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,3,1,18,15,18,16,20,17,16,12,15,10,2,12,8,15,22,6,18,6,12,14,11,2,13,4,10,2,17,0,9,15,12,11,16,19,18,4,4,8,16,5,0,20,17,14,15,3,14,13,18,13,13,4,14,0,10,18,10,11,0,20,6,12,13,15,15,6,20,17,17,20,8,15,16,15,5,9,8,18,10,22,19,5,18,12,18,18,6,0,8,9,5,11,22,2,14,10,9,5,14,16,6,17,3,16,22,19,4,10}

Returns: "Impossible"
23

7

{16,0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,21,10,17,20,13,4,14,12,19,12,12,12,14,16,4,3,19,11,15,6,17,2,9,20,6,12,11,14,10,10,10,18,14,2,9,3,19,17,17,12,16,18,12,14,2,22,8,6,12,10,16,10,13,20,12,4,8,14,22,15,6,18,10,19,5,0,16,3,20,9,4,22,12,20,17,0,22,17,13,11,10,9,8,20,20,16,16,10,8,2,16,12,19,18,3,20,14,12,13,12,0,22,6,4,10,12,14,11,9}

{0,14,20,11,8,6,10,9,22,15,12,17,18,19,4,5,2,13,3,1,18,15,18,16,20,17,16,12,15,10,2,12,8,15,22,6,18,6,12,14,11,2,13,4,10,2,17,0,9,15,12,11,16,19,18,4,4,8,16,5,0,20,17,14,15,3,14,13,18,13,13,4,14,0,10,18,10,11,0,20,6,12,13,15,15,6,20,17,17,20,8,15,16,15,5,9,8,18,10,22,19,5,18,12,18,18,6,0,8,9,5,11,22,2,14,10,9,5,14,16,6,17,3,16,22,19,4,10}

Returns: "Impossible"
300

45

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Returns: "Possible"
300

37

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Returns: "Possible"
300

20

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Returns: "Possible"
300

159

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Returns: "Impossible"
300

51

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Returns: "Impossible"
411

166

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Returns: "Possible"
411

291

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Returns: "Possible"
411

184

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Returns: "Possible"
411

131

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Returns: "Impossible"
411

55

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Returns: "Impossible"
80

45

{46,8,39,21,7,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,9,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,24,15,61,38,33,53,68,69,50,33,6,27,48,51,24,79,25,48,57,0,24,37,5,36,29,25,62,58,29,57,23,67,64,25,15,41,45,66,9,7,37,52,52,17,25,60,10,23,60,72,25,32,51,64,4,43,18,64,73,45,75,66,33,72,68,78,54,54,75,37,18,75,79,71,12,36,55,4,59,55,72,66,7,60,45,0,10,59,60,43,37,36,72,0,0,48,52,79,72,59,7,51,64,5,25,74,45,27,27,55,64,36,10,75,54,75,73,23,38,18,11,66,41,53,25,74,7,45,60,30,10,5,29,64,32,37,54,29,79,58,43,6,37,51,79,43,75,18,74,73,23,7,36,0,29,51,60,10,73,60,57,11,75,30,66,66,58,50,52,79,45,15,15,37,59,55,6,18,62,73,58,73,7,43,10,55,18,49,73,21,57,6,71,38,64,79,1,73,73,43,27,12,37,75,41,51,45,55,36,43,11,5,37,64,54,1,51,18,23,43,64,10,75,37,18,18,52,59,32,43,75,64,71,66,60,32,58,52,45,1,51,5,43,53,6,57,10,5,66,13,11,79,0,3,64,37,72,17,13,79,58,54,1,34,57,72,59,59,11,43,59,29,36,36,77,23,66,51,57,6,38,34,24,23,75,58,58,60,72,75,57,59,43,59,75,58,33,7,6,60,29,52,71,73,45,0,32,59,38,17,59,45,25,54,60,0,73,72,43,66,54,72,32,59,23,12,51,74,65,53,60,7,23,45,51,11,68,48,23,5,10,22,64,59,45,51}

{8,39,21,35,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,23,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,63,15,61,38,33,53,68,49,50,14,24,55,34,63,59,38,10,7,76,79,60,38,10,7,52,36,73,56,36,0,45,36,4,29,6,53,27,55,6,22,23,52,66,79,62,75,23,64,29,37,5,37,52,29,66,17,64,29,55,25,18,55,18,53,64,38,56,55,64,58,60,0,11,37,70,9,79,37,9,6,29,45,7,59,73,55,36,25,43,32,59,7,25,6,55,7,41,66,58,23,7,51,37,45,54,58,17,54,13,12,54,25,23,25,29,11,58,72,10,15,72,51,18,13,38,43,67,37,18,43,65,72,32,66,58,51,23,60,18,55,54,57,5,10,60,10,51,29,52,78,32,25,72,10,25,72,10,25,64,0,36,18,52,6,2,60,7,60,14,11,37,11,38,53,29,0,79,7,55,67,60,79,25,73,72,73,6,55,61,6,46,43,25,62,68,29,52,22,7,0,29,71,28,57,11,77,73,5,59,79,37,72,55,64,36,59,62,45,51,32,7,32,79,59,75,55,60,37,51,73,29,25,73,13,18,66,75,55,73,52,71,72,32,18,33,57,18,45,60,0,41,58,25,32,76,55,58,79,78,77,25,64,55,67,2,60,18,57,51,79,75,75,60,43,32,41,66,18,5,66,7,68,62,68,29,73,23,60,43,55,29,37,36,51,58,66,66,15,60,72,66,59,5,62,66,11,54,57,75,15,41,54,75,36,5,55,18,37,36,5,25,59,64,25,57,43,70,66,2,63,24,5,58,0,59,18,66,53,22,32,64,6,4,66,54,66,55}

Returns: "Possible"
80

15

{46,8,39,21,7,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,9,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,24,15,61,38,33,53,68,69,50,33,6,27,48,51,24,79,25,48,57,0,24,37,5,36,29,25,62,58,29,57,23,67,64,25,15,41,45,66,9,7,37,52,52,17,25,60,10,23,60,72,25,32,51,64,4,43,18,64,73,45,75,66,33,72,68,78,54,54,75,37,18,75,79,71,12,36,55,4,59,55,72,66,7,60,45,0,10,59,60,43,37,36,72,0,0,48,52,79,72,59,7,51,64,5,25,74,45,27,27,55,64,36,10,75,54,75,73,23,38,18,11,66,41,53,25,74,7,45,60,30,10,5,29,64,32,37,54,29,79,58,43,6,37,51,79,43,75,18,74,73,23,7,36,0,29,51,60,10,73,60,57,11,75,30,66,66,58,50,52,79,45,15,15,37,59,55,6,18,62,73,58,73,7,43,10,55,18,49,73,21,57,6,71,38,64,79,1,73,73,43,27,12,37,75,41,51,45,55,36,43,11,5,37,64,54,1,51,18,23,43,64,10,75,37,18,18,52,59,32,43,75,64,71,66,60,32,58,52,45,1,51,5,43,53,6,57,10,5,66,13,11,79,0,3,64,37,72,17,13,79,58,54,1,34,57,72,59,59,11,43,59,29,36,36,77,23,66,51,57,6,38,34,24,23,75,58,58,60,72,75,57,59,43,59,75,58,33,7,6,60,29,52,71,73,45,0,32,59,38,17,59,45,25,54,60,0,73,72,43,66,54,72,32,59,23,12,51,74,65,53,60,7,23,45,51,11,68,48,23,5,10,22,64,59,45,51}

{8,39,21,35,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,23,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,63,15,61,38,33,53,68,49,50,14,24,55,34,63,59,38,10,7,76,79,60,38,10,7,52,36,73,56,36,0,45,36,4,29,6,53,27,55,6,22,23,52,66,79,62,75,23,64,29,37,5,37,52,29,66,17,64,29,55,25,18,55,18,53,64,38,56,55,64,58,60,0,11,37,70,9,79,37,9,6,29,45,7,59,73,55,36,25,43,32,59,7,25,6,55,7,41,66,58,23,7,51,37,45,54,58,17,54,13,12,54,25,23,25,29,11,58,72,10,15,72,51,18,13,38,43,67,37,18,43,65,72,32,66,58,51,23,60,18,55,54,57,5,10,60,10,51,29,52,78,32,25,72,10,25,72,10,25,64,0,36,18,52,6,2,60,7,60,14,11,37,11,38,53,29,0,79,7,55,67,60,79,25,73,72,73,6,55,61,6,46,43,25,62,68,29,52,22,7,0,29,71,28,57,11,77,73,5,59,79,37,72,55,64,36,59,62,45,51,32,7,32,79,59,75,55,60,37,51,73,29,25,73,13,18,66,75,55,73,52,71,72,32,18,33,57,18,45,60,0,41,58,25,32,76,55,58,79,78,77,25,64,55,67,2,60,18,57,51,79,75,75,60,43,32,41,66,18,5,66,7,68,62,68,29,73,23,60,43,55,29,37,36,51,58,66,66,15,60,72,66,59,5,62,66,11,54,57,75,15,41,54,75,36,5,55,18,37,36,5,25,59,64,25,57,43,70,66,2,63,24,5,58,0,59,18,66,53,22,32,64,6,4,66,54,66,55}

Returns: "Possible"
80

37

{46,8,39,21,7,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,9,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,24,15,61,38,33,53,68,69,50,33,6,27,48,51,24,79,25,48,57,0,24,37,5,36,29,25,62,58,29,57,23,67,64,25,15,41,45,66,9,7,37,52,52,17,25,60,10,23,60,72,25,32,51,64,4,43,18,64,73,45,75,66,33,72,68,78,54,54,75,37,18,75,79,71,12,36,55,4,59,55,72,66,7,60,45,0,10,59,60,43,37,36,72,0,0,48,52,79,72,59,7,51,64,5,25,74,45,27,27,55,64,36,10,75,54,75,73,23,38,18,11,66,41,53,25,74,7,45,60,30,10,5,29,64,32,37,54,29,79,58,43,6,37,51,79,43,75,18,74,73,23,7,36,0,29,51,60,10,73,60,57,11,75,30,66,66,58,50,52,79,45,15,15,37,59,55,6,18,62,73,58,73,7,43,10,55,18,49,73,21,57,6,71,38,64,79,1,73,73,43,27,12,37,75,41,51,45,55,36,43,11,5,37,64,54,1,51,18,23,43,64,10,75,37,18,18,52,59,32,43,75,64,71,66,60,32,58,52,45,1,51,5,43,53,6,57,10,5,66,13,11,79,0,3,64,37,72,17,13,79,58,54,1,34,57,72,59,59,11,43,59,29,36,36,77,23,66,51,57,6,38,34,24,23,75,58,58,60,72,75,57,59,43,59,75,58,33,7,6,60,29,52,71,73,45,0,32,59,38,17,59,45,25,54,60,0,73,72,43,66,54,72,32,59,23,12,51,74,65,53,60,7,23,45,51,11,68,48,23,5,10,22,64,59,45,51}

{8,39,21,35,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,23,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,63,15,61,38,33,53,68,49,50,14,24,55,34,63,59,38,10,7,76,79,60,38,10,7,52,36,73,56,36,0,45,36,4,29,6,53,27,55,6,22,23,52,66,79,62,75,23,64,29,37,5,37,52,29,66,17,64,29,55,25,18,55,18,53,64,38,56,55,64,58,60,0,11,37,70,9,79,37,9,6,29,45,7,59,73,55,36,25,43,32,59,7,25,6,55,7,41,66,58,23,7,51,37,45,54,58,17,54,13,12,54,25,23,25,29,11,58,72,10,15,72,51,18,13,38,43,67,37,18,43,65,72,32,66,58,51,23,60,18,55,54,57,5,10,60,10,51,29,52,78,32,25,72,10,25,72,10,25,64,0,36,18,52,6,2,60,7,60,14,11,37,11,38,53,29,0,79,7,55,67,60,79,25,73,72,73,6,55,61,6,46,43,25,62,68,29,52,22,7,0,29,71,28,57,11,77,73,5,59,79,37,72,55,64,36,59,62,45,51,32,7,32,79,59,75,55,60,37,51,73,29,25,73,13,18,66,75,55,73,52,71,72,32,18,33,57,18,45,60,0,41,58,25,32,76,55,58,79,78,77,25,64,55,67,2,60,18,57,51,79,75,75,60,43,32,41,66,18,5,66,7,68,62,68,29,73,23,60,43,55,29,37,36,51,58,66,66,15,60,72,66,59,5,62,66,11,54,57,75,15,41,54,75,36,5,55,18,37,36,5,25,59,64,25,57,43,70,66,2,63,24,5,58,0,59,18,66,53,22,32,64,6,4,66,54,66,55}

Returns: "Possible"
80

24

{46,8,39,21,7,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,9,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,24,15,61,38,33,53,68,69,50,33,6,27,48,51,24,79,25,48,57,0,24,37,5,36,29,25,62,58,29,57,23,67,64,25,15,41,45,66,9,7,37,52,52,17,25,60,10,23,60,72,25,32,51,64,4,43,18,64,73,45,75,66,33,72,68,78,54,54,75,37,18,75,79,71,12,36,55,4,59,55,72,66,7,60,45,0,10,59,60,43,37,36,72,0,0,48,52,79,72,59,7,51,64,5,25,74,45,27,27,55,64,36,10,75,54,75,73,23,38,18,11,66,41,53,25,74,7,45,60,30,10,5,29,64,32,37,54,29,79,58,43,6,37,51,79,43,75,18,74,73,23,7,36,0,29,51,60,10,73,60,57,11,75,30,66,66,58,50,52,79,45,15,15,37,59,55,6,18,62,73,58,73,7,43,10,55,18,49,73,21,57,6,71,38,64,79,1,73,73,43,27,12,37,75,41,51,45,55,36,43,11,5,37,64,54,1,51,18,23,43,64,10,75,37,18,18,52,59,32,43,75,64,71,66,60,32,58,52,45,1,51,5,43,53,6,57,10,5,66,13,11,79,0,3,64,37,72,17,13,79,58,54,1,34,57,72,59,59,11,43,59,29,36,36,77,23,66,51,57,6,38,34,24,23,75,58,58,60,72,75,57,59,43,59,75,58,33,7,6,60,29,52,71,73,45,0,32,59,38,17,59,45,25,54,60,0,73,72,43,66,54,72,32,59,23,12,51,74,65,53,60,7,23,45,51,11,68,48,23,5,10,22,64,59,45,51}

{8,39,21,35,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,23,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,63,15,61,38,33,53,68,49,50,14,24,55,34,63,59,38,10,7,76,79,60,38,10,7,52,36,73,56,36,0,45,36,4,29,6,53,27,55,6,22,23,52,66,79,62,75,23,64,29,37,5,37,52,29,66,17,64,29,55,25,18,55,18,53,64,38,56,55,64,58,60,0,11,37,70,9,79,37,9,6,29,45,7,59,73,55,36,25,43,32,59,7,25,6,55,7,41,66,58,23,7,51,37,45,54,58,17,54,13,12,54,25,23,25,29,11,58,72,10,15,72,51,18,13,38,43,67,37,18,43,65,72,32,66,58,51,23,60,18,55,54,57,5,10,60,10,51,29,52,78,32,25,72,10,25,72,10,25,64,0,36,18,52,6,2,60,7,60,14,11,37,11,38,53,29,0,79,7,55,67,60,79,25,73,72,73,6,55,61,6,46,43,25,62,68,29,52,22,7,0,29,71,28,57,11,77,73,5,59,79,37,72,55,64,36,59,62,45,51,32,7,32,79,59,75,55,60,37,51,73,29,25,73,13,18,66,75,55,73,52,71,72,32,18,33,57,18,45,60,0,41,58,25,32,76,55,58,79,78,77,25,64,55,67,2,60,18,57,51,79,75,75,60,43,32,41,66,18,5,66,7,68,62,68,29,73,23,60,43,55,29,37,36,51,58,66,66,15,60,72,66,59,5,62,66,11,54,57,75,15,41,54,75,36,5,55,18,37,36,5,25,59,64,25,57,43,70,66,2,63,24,5,58,0,59,18,66,53,22,32,64,6,4,66,54,66,55}

Returns: "Impossible"
80

26

{46,8,39,21,7,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,9,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,24,15,61,38,33,53,68,69,50,33,6,27,48,51,24,79,25,48,57,0,24,37,5,36,29,25,62,58,29,57,23,67,64,25,15,41,45,66,9,7,37,52,52,17,25,60,10,23,60,72,25,32,51,64,4,43,18,64,73,45,75,66,33,72,68,78,54,54,75,37,18,75,79,71,12,36,55,4,59,55,72,66,7,60,45,0,10,59,60,43,37,36,72,0,0,48,52,79,72,59,7,51,64,5,25,74,45,27,27,55,64,36,10,75,54,75,73,23,38,18,11,66,41,53,25,74,7,45,60,30,10,5,29,64,32,37,54,29,79,58,43,6,37,51,79,43,75,18,74,73,23,7,36,0,29,51,60,10,73,60,57,11,75,30,66,66,58,50,52,79,45,15,15,37,59,55,6,18,62,73,58,73,7,43,10,55,18,49,73,21,57,6,71,38,64,79,1,73,73,43,27,12,37,75,41,51,45,55,36,43,11,5,37,64,54,1,51,18,23,43,64,10,75,37,18,18,52,59,32,43,75,64,71,66,60,32,58,52,45,1,51,5,43,53,6,57,10,5,66,13,11,79,0,3,64,37,72,17,13,79,58,54,1,34,57,72,59,59,11,43,59,29,36,36,77,23,66,51,57,6,38,34,24,23,75,58,58,60,72,75,57,59,43,59,75,58,33,7,6,60,29,52,71,73,45,0,32,59,38,17,59,45,25,54,60,0,73,72,43,66,54,72,32,59,23,12,51,74,65,53,60,7,23,45,51,11,68,48,23,5,10,22,64,59,45,51}

{8,39,21,35,60,6,64,55,18,45,37,58,0,29,75,10,73,59,5,79,57,36,11,66,52,51,54,43,32,72,25,23,70,12,56,13,77,48,34,41,30,71,1,17,2,67,27,22,74,4,65,28,62,76,16,26,3,78,63,15,61,38,33,53,68,49,50,14,24,55,34,63,59,38,10,7,76,79,60,38,10,7,52,36,73,56,36,0,45,36,4,29,6,53,27,55,6,22,23,52,66,79,62,75,23,64,29,37,5,37,52,29,66,17,64,29,55,25,18,55,18,53,64,38,56,55,64,58,60,0,11,37,70,9,79,37,9,6,29,45,7,59,73,55,36,25,43,32,59,7,25,6,55,7,41,66,58,23,7,51,37,45,54,58,17,54,13,12,54,25,23,25,29,11,58,72,10,15,72,51,18,13,38,43,67,37,18,43,65,72,32,66,58,51,23,60,18,55,54,57,5,10,60,10,51,29,52,78,32,25,72,10,25,72,10,25,64,0,36,18,52,6,2,60,7,60,14,11,37,11,38,53,29,0,79,7,55,67,60,79,25,73,72,73,6,55,61,6,46,43,25,62,68,29,52,22,7,0,29,71,28,57,11,77,73,5,59,79,37,72,55,64,36,59,62,45,51,32,7,32,79,59,75,55,60,37,51,73,29,25,73,13,18,66,75,55,73,52,71,72,32,18,33,57,18,45,60,0,41,58,25,32,76,55,58,79,78,77,25,64,55,67,2,60,18,57,51,79,75,75,60,43,32,41,66,18,5,66,7,68,62,68,29,73,23,60,43,55,29,37,36,51,58,66,66,15,60,72,66,59,5,62,66,11,54,57,75,15,41,54,75,36,5,55,18,37,36,5,25,59,64,25,57,43,70,66,2,63,24,5,58,0,59,18,66,53,22,32,64,6,4,66,54,66,55}

Returns: "Impossible"
16

4

{14,13,0,11,7,12,11}

{13,0,11,7,12,1,12}

Returns: "Possible"
16

16

{14,13,0,11,7,12,11}

{13,0,11,7,12,1,12}

Returns: "Possible"
16

13

{14,13,0,11,7,12,11}

{13,0,11,7,12,1,12}

Returns: "Possible"
783

609

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Returns: "Possible"
783

257

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Returns: "Possible"
783

60

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Returns: "Possible"
783

161

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Returns: "Impossible"
783

629

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Returns: "Impossible"
454

19

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Returns: "Possible"
454

370

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Returns: "Possible"
454

306

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Returns: "Possible"
454

243

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Returns: "Impossible"
454

219

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Returns: "Impossible"
790

499

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Returns: "Possible"
790

665

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Returns: "Possible"
790

278

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Returns: "Possible"
790

683

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Returns: "Impossible"
790

689

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Returns: "Possible"
239

5

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Returns: "Possible"
239

19

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Returns: "Possible"
239

238

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Returns: "Possible"
239

58

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Returns: "Impossible"
239

132

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{17,226,162,192,179,44,50,75,187,229,63,84,189,67,33,176,144,174,171,107,4,56,125,93,177,126,21,235,168,25,121,12,78,132,124,30,91,228,85,0,161,169,150,74,53,37,193,16,134,156,142,1,157,216,87,31,236,118,106,81,217,77,65,212,7,223,99,129,210,3,215,32,231,100,206,23,28,175,90,18,149,219,158,145,54,48,86,191,122,39,83,22,101,185,72,35,147,19,135,46,66,20,141,220,116,208,60,153,155,104,114,203,123,69,201,115,194,51,40,186,59,14,170,43,57,143,209,183,224,225,172,58,103,110,166,204,151,180,9,64,76,38,108,148,119,163,111,211,109,178,207,227,102,95,198,89,160,15,195,45,11,112,133,131,146,120,138,68,197,13,152,6,221,52,190,24,113,105,164,73,117,2,230,80,127,137,88,55,218,42,71,181,213,92,70,205,199,26,136,167,159,5,238,41,188,202,97,237,82,27,61,79,232,98,222,200,140,97,78,109,72,191,13,198,5,231,231,65,35,169,134,33,148,127,227,84,149,52,52,4,91,149,102,159,216,119,187,171,99,126,174,166,32,238,136,226,42,125,150,17,185,75,35,223,53,11,116,145,117,18,104,117,119,53,193,63,188,9,206,120,144,12,76,225,25,116,54,99,6,120,131,113,57,227,170,101,32,1,82,28,39,147,89,124,30,26,11,235,171,8,3,99,192,108,111,114,192,112,51,33,50,56,16,210,134,26,35,78,45,174,156,8,191,189,209,58,219,15,145,194,124,6,108,167,146,152,118,205,21,16,35,108,38,194,213,17,229,231,129,152,186,77,229,108,48,220,160,50,197,216,143,195,92,163,6,162,109,132,9,144,5,13,121,45,134,108,222,179,2,110,195,91,235,170,180,86,113,40,210,142,43,9,72,3,197,17,60,104,225,89,151,48,161,103,166,89,132,160,210,167,123,2,204,45,106,20,45,226,215,212,126,6,19,86,65,183,63,41,7,141,57,23,38,1,169,162,41,43,206,53,187,142,28,144,6,175,223,219,78,178,178,156,20,223,103,109,149,5,230,195,105,194,142,189,137,58,28,31,50,209,166,72,73,90,58,87,217,5,22,11,138,204,211,219,134,199,218,125,202,94,151,138,153,107,15,153,20,104,32,156,172,174,217,9,118,74,163,57,127,18,83,88,216,230,183,135,193,152,83,22,78,23,186,39,143,208,18,18,19,39,13,81,170,172,120,87,119,60,68,177,194,81,45,213,166,18,56,52,171,57,89,55,90,122,220,85,63,50,164,28,48,225,108,32,119,135,204,65,12,225,84,85,201,208,106,146,95,199,204,13,219,67,177,164,22,99,112,21,178,13,35,20,203,88,136,103,33,229,15,148,73,230,134,31,157,127,21,39,163,66,199,155,206,213,107,155,169,145,223,135,48,52,32,224,217,9,201,31,90,24,108,212,174,83,110,5,20,185,115,28,114,210,148,147,126,55,215,190,219,75,190,21,156,235,82,175,63,89,21,65,144,208,183,199,88,203,208,160,33,74,107,231,134,116,120,150,213,211,57,13,87,97,7,207,116,55,70,174,44,201,200,30,100,219,20,7,168,90,174,66,179,27,21,81,63,1,195,84,24,153,185,146,152,189,78,107,147,228,12,112,54,225,169,168,30,75,194,161,45,89,191,21,197,46,75,230,162,230,94,97,51,45,50,124,76,20,191,220,74,155,127,135,23,156,116,33,76,190,225,160,171,42,113,229,54,51,63,190,6,23,185,7,230,59,81,186,199,72,69,54,191,77,0,17,118,191,118,110,110,125,52,217,201,54,101,25,25,43,219,144,67,220,5,111,157,158,229,120,74,19,236,200,189,23,216,73,187,150,175,7,52,110,25,114,4,201,39,19,76,44,228,116,119,172,168,110,213,84,183,236,162,95,77,129,220,188,77,170,171,50,122,59,180,104,166,8,5,132,211,146,50,22,176,136,197,179,225,11,1,55,74,65,146,33,50,208,169,235,138,53,67,149,25,206,201,206,123,65,223,16,220,150,209,58,65,216,46,32,81,84,18,164,37,99,54,131,75,176,17,177,126,143,186,112,121,163,135,51,53,6,12,133,101,226,189,180,78,113,158,223,228,12,114,235,217,108,183,166,126,56,112,150,44,122,93,125,153,215,125,178,227,141,39,44,134,50,157,132,116,146,230,143,58,155,63,44,33,177,168,235,177,53,22,153,141,148,81,163,53,155,37,164,129,94,102,189,147,166,169,3,57,136,229,114,223,116,105,110,158,94,216,120,224,46,15,190,112,178,149,213,15,35,104,133,12,0,126,238,142,102,176,146,133,134,97,176,122,67,171,194,129,43,112,3,101,78,46,32,168,197,146,45,65,16,81,111,33,125,27,94,188,65,219,80,164,202,100,126,45,7,153,27,223,114,215,119,169,187,102,146,195,103,40,54,129,143,158,115,3,99,44,129,215,201,203,65,51,112,109,23,48,43,201,192,67,6,231,108,72,83,219,178,70,177,219,151,57,21,197,69,94,172,158,45,137,224,24,147,170,0,16,194,178,129,52,64,46,11,46,124,50,2,211,122,121,132,13,183,138,65,168,63,236,143,174,204,58,175,106,209,231,148,207,238,190,65,65,104,126,158,31,169,238,123,40,108,197,207,229,176,116,190,8,54,19,205,33,44,73,6,148,72,166,56,144,143,183,50,109,124,211,9,13,113,155,212,66,35,22,138,101,105,194,209,170,156,75,128,183,63,91,160,85,64,224,210,135,203,206,9,176,112,64,81,1,88,74,144,78,23,134,110,1,116,199,231,170,213,193,66,67,223,28,31,212,124,174,28,194,172,65,37,106,43,44,170,171,179,54,77,141,119,123,90,75,53,123,52,106,236,110,157,33,152,83,33,158,195,68,177,208,84,88,63,117,105,183,90,115,91,158,33,41,121,193,12,74,201,160,9,94,5,128,132,126,40,116,220,45,185,15,201,175,180,31,24,52,95,179,220,66,118,33,134,19,117,138,91,197,162,110,164,183,4,220,224,217,192,60,210}

Returns: "Impossible"
204

167

{174,136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,198,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,62,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,13,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,187,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,61,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,37,87,17,91,177,182,7,104,92,180,20,114,53,155,9,115,16,34,5,51,141,172,103,175,83,13,52,103,107,4,112,114,76,34,9,179,166,168,199,147,92,15,142,126,150,134,14,24,147,9,160,94,21,190,142,98,141,42,77,14,41,100,140,200,155,115,86,40,173,102,21,76,67,193,99,56,180,178,135,39,13,155,71,180,83,171,11,67,77,20,149,78,164,57,123,172,164,81,75,14,201,54,150,192,41,76,36,56,146,11,65,123,96,178,163,13,25,13,163,162,198,115,65,101,0,40,61,67,41,32,47,99,26,53,36,34,141,83,56,191,106,68,71,27,16,103,141,160,124,117,43,126,15,98,38,41,83,57,110,142,126,158,53,158,54,65,59,2,72,40,111,102,192,78,70,114,194,146,180,82,176,108,189,124,120,159,111,179,3,114,168,102,149,199,131,133,42,164,164,70,16,33,161,88,88,3,6,98,79,55,11,28,174,81,14,203,5,165,129,180,26,180,40,77,109,150,15,150,67,154,69,176,96,106,78,159,124,111,81,84,99,184,124,26,112,155,165,141,71,108,129,192,114,27,32,107,15,94,39,176,34,153,193,82,88,96,172,13,83,150,156,11,125,13,76,166,155,149,64,166,59,190,96,181,69,96,179,149,56,185,99,133,134,14,102,100,178,28,109,6,177,101,1,143,113,160,166,26,141,147,62,64,112,126,103,149,41,153,76,81,94,59,33,176,85,103,28,183,199,83,126,133,78,127,88,3,127,64,5,113,156,56,174,126,2,191,163,33,162,78,108,45,94,61,162,174,32,69,86,109,142,171,160,124,9,82,72,26,125,111,168,52,47,41,65,191,28,59,115,103,184,48,160,6,129,99,184,166,192,15,83,81,36,27,150,9,161,15,24,77,30,54,188,114,180,187,55,124,97,199,203,41,61,88,190,25,59,15,159,123,36,168,168,163,189,36,174,81,106,129,134,92,114,79,109,184,77,166,79,54,5,12,54,176,69,65,71,179,6,125,193,170,143,162,192,56,155,156,133,72,110,149,6,115,143,142,59,180,142,94,106,107,51,181,168,149,43,149,34,80,191,26,188,124,78,83,168,82,183,100,86,2,54,199,103,116,98,36,64,123,56,4,119,176,142,11,4,167,20,163,156,41,142,61,159,188,73,57,140,72,81,88,120,129,184,33,40,70,55,186,137,67,101,2,161,120,72,199,181,168,101,175,178,119,96,158,166,13,76,101,39,169,52,43,71,143,161,167,0,141,113,62,146,113,123,33,112,140,34,2,5,203,146,29,143,189,69,40,14,43,61,153,180,170,140,167,163,57,30,174,121,21,141,83,186,76,176,147,126,71,167,60,15,140,160,2,43,71,103,26,189,12,103,79,199,70,110,6,124,176,33,4,4,94,124,60,47,52,52,49,71,15,12,191,124,56,123,113,170,120,73,13,133,65,143,184,85,5,88,40,146,136,134,156,184,88,86,187,152,119,106,203,172,36,6,114,77,149,119,156,186,175,54,198,6,114,20,73,109,120,4,36,141,181,52,78,117,32,27,114,52,15,167,106,102,53,114,61,126,65,181,96,41,101,32,183,191,156,193,198,143,4,184,168,3,14,173,186,108,86,134,149,12,98,168,15,110,161,110,113,24,201,92,54,181,171,6,134,83,123,167,124,69,164,81,53,53,159,64,188,67,150,162,121,70,115,12,100,61,123,198,15,101,147,171,188,91,119,159,172,134,38,181,59,199,41,83,6,83,94,33,120,167,201,190,123,125,14,101,167,76,149,164,201,199,164,100,1,40,170,88,124,126,36,78,123,125,141,99,70,100,180,200,170,176,171,13,85,21}

{136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,79,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,78,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,84,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,77,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,138,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,69,87,17,197,177,182,118,104,135,114,67,111,129,27,39,178,2,14,116,176,45,125,24,12,188,40,186,61,176,139,6,2,99,92,116,92,57,161,53,71,114,161,83,123,121,57,61,115,127,115,99,186,106,146,193,4,26,26,140,110,160,124,161,126,29,119,156,183,41,108,99,114,189,20,140,56,162,159,98,104,133,64,39,40,140,82,143,193,111,171,11,167,11,190,174,69,126,121,82,195,56,12,6,174,186,134,72,123,161,184,188,198,134,113,110,5,33,24,184,72,0,159,147,164,34,201,83,6,86,40,159,173,43,192,15,53,116,98,120,114,26,12,200,27,124,203,163,88,16,81,114,98,188,168,94,150,27,41,38,186,82,86,195,199,49,40,42,96,166,43,54,3,110,160,85,64,143,138,161,113,124,94,119,14,36,4,126,126,133,65,156,71,186,140,36,29,173,73,28,78,116,70,186,5,191,112,42,52,13,108,179,111,86,47,54,13,191,116,19,102,109,16,185,6,94,85,155,124,38,175,112,82,94,159,147,32,149,82,180,71,169,163,203,71,70,201,173,187,9,61,55,98,13,160,168,3,68,168,176,133,92,77,158,3,15,5,159,20,112,168,57,181,193,170,178,110,163,136,180,143,112,127,167,20,92,6,11,38,11,154,28,72,136,41,5,178,34,106,121,159,142,182,9,48,43,85,88,43,2,189,203,75,156,43,24,110,193,134,30,98,83,101,85,114,70,172,0,24,167,83,120,127,55,73,121,106,149,172,34,102,140,143,14,46,167,34,106,76,163,191,73,46,30,56,83,189,55,185,40,126,167,15,76,70,123,189,69,56,43,176,183,40,4,60,134,167,203,172,25,201,156,92,31,70,83,92,5,114,2,170,134,15,168,120,61,133,166,110,71,3,43,75,199,78,9,193,200,46,27,50,71,2,71,27,201,113,140,127,36,111,124,123,82,54,106,117,123,136,36,77,125,4,100,76,119,59,92,100,77,136,142,21,143,81,129,199,24,41,38,124,94,159,110,147,106,147,9,179,201,55,14,94,86,40,99,184,54,109,167,120,203,178,29,31,72,41,175,26,11,160,1,162,92,183,40,28,71,199,27,20,178,121,201,71,61,110,201,9,69,12,36,141,36,57,21,52,24,15,183,164,9,201,27,124,199,86,190,167,46,20,110,82,114,69,72,189,100,54,100,38,102,131,111,156,94,5,124,203,124,115,82,141,86,154,60,20,195,72,106,189,116,150,48,71,0,61,43,77,149,147,101,188,158,70,28,81,88,186,24,43,146,72,102,56,68,191,102,15,36,191,143,27,31,164,203,11,164,92,39,31,57,188,201,43,71,9,106,147,178,96,134,85,179,52,73,16,171,116,120,88,98,170,13,88,133,52,16,114,53,134,116,160,36,52,181,53,119,150,27,36,66,15,120,110,88,71,5,71,159,21,36,20,162,174,172,110,34,164,26,171,168,99,47,81,94,98,76,111,29,55,108,160,114,164,124,36,34,143,20,152,88,154,185,199,3,36,64,85,193,193,61,54,27,2,102,168,159,34,140,4,162,82,71,32,117,181,27,9,168,67,198,192,190,52,115,193,85,176,192,67,188,156,54,77,61,86,162,47,100,60,188,123,188,99,33,71,71,0,115,76,67,11,14,2,69,141,184,36,168,4,120,188,199,142,109,36,83,6,67,170,25,159,46,186,193,106,0,70,76,124,134,175,124,156,117,26,32,177,133,188,85,168,60,156,85,6,6,69,168,4,171,12,81,86,160,11,168,88,114,100,59,110,126,78,163,142,109,160,80,199,161,114,83,42,54,121,142,9,70,117,129,99,185,19,186,184,143,203,126,103}

Returns: "Possible"
204

106

{174,136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,198,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,62,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,13,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,187,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,61,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,37,87,17,91,177,182,7,104,92,180,20,114,53,155,9,115,16,34,5,51,141,172,103,175,83,13,52,103,107,4,112,114,76,34,9,179,166,168,199,147,92,15,142,126,150,134,14,24,147,9,160,94,21,190,142,98,141,42,77,14,41,100,140,200,155,115,86,40,173,102,21,76,67,193,99,56,180,178,135,39,13,155,71,180,83,171,11,67,77,20,149,78,164,57,123,172,164,81,75,14,201,54,150,192,41,76,36,56,146,11,65,123,96,178,163,13,25,13,163,162,198,115,65,101,0,40,61,67,41,32,47,99,26,53,36,34,141,83,56,191,106,68,71,27,16,103,141,160,124,117,43,126,15,98,38,41,83,57,110,142,126,158,53,158,54,65,59,2,72,40,111,102,192,78,70,114,194,146,180,82,176,108,189,124,120,159,111,179,3,114,168,102,149,199,131,133,42,164,164,70,16,33,161,88,88,3,6,98,79,55,11,28,174,81,14,203,5,165,129,180,26,180,40,77,109,150,15,150,67,154,69,176,96,106,78,159,124,111,81,84,99,184,124,26,112,155,165,141,71,108,129,192,114,27,32,107,15,94,39,176,34,153,193,82,88,96,172,13,83,150,156,11,125,13,76,166,155,149,64,166,59,190,96,181,69,96,179,149,56,185,99,133,134,14,102,100,178,28,109,6,177,101,1,143,113,160,166,26,141,147,62,64,112,126,103,149,41,153,76,81,94,59,33,176,85,103,28,183,199,83,126,133,78,127,88,3,127,64,5,113,156,56,174,126,2,191,163,33,162,78,108,45,94,61,162,174,32,69,86,109,142,171,160,124,9,82,72,26,125,111,168,52,47,41,65,191,28,59,115,103,184,48,160,6,129,99,184,166,192,15,83,81,36,27,150,9,161,15,24,77,30,54,188,114,180,187,55,124,97,199,203,41,61,88,190,25,59,15,159,123,36,168,168,163,189,36,174,81,106,129,134,92,114,79,109,184,77,166,79,54,5,12,54,176,69,65,71,179,6,125,193,170,143,162,192,56,155,156,133,72,110,149,6,115,143,142,59,180,142,94,106,107,51,181,168,149,43,149,34,80,191,26,188,124,78,83,168,82,183,100,86,2,54,199,103,116,98,36,64,123,56,4,119,176,142,11,4,167,20,163,156,41,142,61,159,188,73,57,140,72,81,88,120,129,184,33,40,70,55,186,137,67,101,2,161,120,72,199,181,168,101,175,178,119,96,158,166,13,76,101,39,169,52,43,71,143,161,167,0,141,113,62,146,113,123,33,112,140,34,2,5,203,146,29,143,189,69,40,14,43,61,153,180,170,140,167,163,57,30,174,121,21,141,83,186,76,176,147,126,71,167,60,15,140,160,2,43,71,103,26,189,12,103,79,199,70,110,6,124,176,33,4,4,94,124,60,47,52,52,49,71,15,12,191,124,56,123,113,170,120,73,13,133,65,143,184,85,5,88,40,146,136,134,156,184,88,86,187,152,119,106,203,172,36,6,114,77,149,119,156,186,175,54,198,6,114,20,73,109,120,4,36,141,181,52,78,117,32,27,114,52,15,167,106,102,53,114,61,126,65,181,96,41,101,32,183,191,156,193,198,143,4,184,168,3,14,173,186,108,86,134,149,12,98,168,15,110,161,110,113,24,201,92,54,181,171,6,134,83,123,167,124,69,164,81,53,53,159,64,188,67,150,162,121,70,115,12,100,61,123,198,15,101,147,171,188,91,119,159,172,134,38,181,59,199,41,83,6,83,94,33,120,167,201,190,123,125,14,101,167,76,149,164,201,199,164,100,1,40,170,88,124,126,36,78,123,125,141,99,70,100,180,200,170,176,171,13,85,21}

{136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,79,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,78,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,84,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,77,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,138,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,69,87,17,197,177,182,118,104,135,114,67,111,129,27,39,178,2,14,116,176,45,125,24,12,188,40,186,61,176,139,6,2,99,92,116,92,57,161,53,71,114,161,83,123,121,57,61,115,127,115,99,186,106,146,193,4,26,26,140,110,160,124,161,126,29,119,156,183,41,108,99,114,189,20,140,56,162,159,98,104,133,64,39,40,140,82,143,193,111,171,11,167,11,190,174,69,126,121,82,195,56,12,6,174,186,134,72,123,161,184,188,198,134,113,110,5,33,24,184,72,0,159,147,164,34,201,83,6,86,40,159,173,43,192,15,53,116,98,120,114,26,12,200,27,124,203,163,88,16,81,114,98,188,168,94,150,27,41,38,186,82,86,195,199,49,40,42,96,166,43,54,3,110,160,85,64,143,138,161,113,124,94,119,14,36,4,126,126,133,65,156,71,186,140,36,29,173,73,28,78,116,70,186,5,191,112,42,52,13,108,179,111,86,47,54,13,191,116,19,102,109,16,185,6,94,85,155,124,38,175,112,82,94,159,147,32,149,82,180,71,169,163,203,71,70,201,173,187,9,61,55,98,13,160,168,3,68,168,176,133,92,77,158,3,15,5,159,20,112,168,57,181,193,170,178,110,163,136,180,143,112,127,167,20,92,6,11,38,11,154,28,72,136,41,5,178,34,106,121,159,142,182,9,48,43,85,88,43,2,189,203,75,156,43,24,110,193,134,30,98,83,101,85,114,70,172,0,24,167,83,120,127,55,73,121,106,149,172,34,102,140,143,14,46,167,34,106,76,163,191,73,46,30,56,83,189,55,185,40,126,167,15,76,70,123,189,69,56,43,176,183,40,4,60,134,167,203,172,25,201,156,92,31,70,83,92,5,114,2,170,134,15,168,120,61,133,166,110,71,3,43,75,199,78,9,193,200,46,27,50,71,2,71,27,201,113,140,127,36,111,124,123,82,54,106,117,123,136,36,77,125,4,100,76,119,59,92,100,77,136,142,21,143,81,129,199,24,41,38,124,94,159,110,147,106,147,9,179,201,55,14,94,86,40,99,184,54,109,167,120,203,178,29,31,72,41,175,26,11,160,1,162,92,183,40,28,71,199,27,20,178,121,201,71,61,110,201,9,69,12,36,141,36,57,21,52,24,15,183,164,9,201,27,124,199,86,190,167,46,20,110,82,114,69,72,189,100,54,100,38,102,131,111,156,94,5,124,203,124,115,82,141,86,154,60,20,195,72,106,189,116,150,48,71,0,61,43,77,149,147,101,188,158,70,28,81,88,186,24,43,146,72,102,56,68,191,102,15,36,191,143,27,31,164,203,11,164,92,39,31,57,188,201,43,71,9,106,147,178,96,134,85,179,52,73,16,171,116,120,88,98,170,13,88,133,52,16,114,53,134,116,160,36,52,181,53,119,150,27,36,66,15,120,110,88,71,5,71,159,21,36,20,162,174,172,110,34,164,26,171,168,99,47,81,94,98,76,111,29,55,108,160,114,164,124,36,34,143,20,152,88,154,185,199,3,36,64,85,193,193,61,54,27,2,102,168,159,34,140,4,162,82,71,32,117,181,27,9,168,67,198,192,190,52,115,193,85,176,192,67,188,156,54,77,61,86,162,47,100,60,188,123,188,99,33,71,71,0,115,76,67,11,14,2,69,141,184,36,168,4,120,188,199,142,109,36,83,6,67,170,25,159,46,186,193,106,0,70,76,124,134,175,124,156,117,26,32,177,133,188,85,168,60,156,85,6,6,69,168,4,171,12,81,86,160,11,168,88,114,100,59,110,126,78,163,142,109,160,80,199,161,114,83,42,54,121,142,9,70,117,129,99,185,19,186,184,143,203,126,103}

Returns: "Possible"
204

75

{174,136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,198,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,62,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,13,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,187,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,61,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,37,87,17,91,177,182,7,104,92,180,20,114,53,155,9,115,16,34,5,51,141,172,103,175,83,13,52,103,107,4,112,114,76,34,9,179,166,168,199,147,92,15,142,126,150,134,14,24,147,9,160,94,21,190,142,98,141,42,77,14,41,100,140,200,155,115,86,40,173,102,21,76,67,193,99,56,180,178,135,39,13,155,71,180,83,171,11,67,77,20,149,78,164,57,123,172,164,81,75,14,201,54,150,192,41,76,36,56,146,11,65,123,96,178,163,13,25,13,163,162,198,115,65,101,0,40,61,67,41,32,47,99,26,53,36,34,141,83,56,191,106,68,71,27,16,103,141,160,124,117,43,126,15,98,38,41,83,57,110,142,126,158,53,158,54,65,59,2,72,40,111,102,192,78,70,114,194,146,180,82,176,108,189,124,120,159,111,179,3,114,168,102,149,199,131,133,42,164,164,70,16,33,161,88,88,3,6,98,79,55,11,28,174,81,14,203,5,165,129,180,26,180,40,77,109,150,15,150,67,154,69,176,96,106,78,159,124,111,81,84,99,184,124,26,112,155,165,141,71,108,129,192,114,27,32,107,15,94,39,176,34,153,193,82,88,96,172,13,83,150,156,11,125,13,76,166,155,149,64,166,59,190,96,181,69,96,179,149,56,185,99,133,134,14,102,100,178,28,109,6,177,101,1,143,113,160,166,26,141,147,62,64,112,126,103,149,41,153,76,81,94,59,33,176,85,103,28,183,199,83,126,133,78,127,88,3,127,64,5,113,156,56,174,126,2,191,163,33,162,78,108,45,94,61,162,174,32,69,86,109,142,171,160,124,9,82,72,26,125,111,168,52,47,41,65,191,28,59,115,103,184,48,160,6,129,99,184,166,192,15,83,81,36,27,150,9,161,15,24,77,30,54,188,114,180,187,55,124,97,199,203,41,61,88,190,25,59,15,159,123,36,168,168,163,189,36,174,81,106,129,134,92,114,79,109,184,77,166,79,54,5,12,54,176,69,65,71,179,6,125,193,170,143,162,192,56,155,156,133,72,110,149,6,115,143,142,59,180,142,94,106,107,51,181,168,149,43,149,34,80,191,26,188,124,78,83,168,82,183,100,86,2,54,199,103,116,98,36,64,123,56,4,119,176,142,11,4,167,20,163,156,41,142,61,159,188,73,57,140,72,81,88,120,129,184,33,40,70,55,186,137,67,101,2,161,120,72,199,181,168,101,175,178,119,96,158,166,13,76,101,39,169,52,43,71,143,161,167,0,141,113,62,146,113,123,33,112,140,34,2,5,203,146,29,143,189,69,40,14,43,61,153,180,170,140,167,163,57,30,174,121,21,141,83,186,76,176,147,126,71,167,60,15,140,160,2,43,71,103,26,189,12,103,79,199,70,110,6,124,176,33,4,4,94,124,60,47,52,52,49,71,15,12,191,124,56,123,113,170,120,73,13,133,65,143,184,85,5,88,40,146,136,134,156,184,88,86,187,152,119,106,203,172,36,6,114,77,149,119,156,186,175,54,198,6,114,20,73,109,120,4,36,141,181,52,78,117,32,27,114,52,15,167,106,102,53,114,61,126,65,181,96,41,101,32,183,191,156,193,198,143,4,184,168,3,14,173,186,108,86,134,149,12,98,168,15,110,161,110,113,24,201,92,54,181,171,6,134,83,123,167,124,69,164,81,53,53,159,64,188,67,150,162,121,70,115,12,100,61,123,198,15,101,147,171,188,91,119,159,172,134,38,181,59,199,41,83,6,83,94,33,120,167,201,190,123,125,14,101,167,76,149,164,201,199,164,100,1,40,170,88,124,126,36,78,123,125,141,99,70,100,180,200,170,176,171,13,85,21}

{136,119,133,46,39,179,173,55,152,60,155,38,47,57,150,108,79,175,111,121,96,140,20,3,164,167,67,11,73,172,113,86,59,65,127,109,85,24,28,42,159,25,32,193,180,188,190,183,149,126,185,78,158,48,49,144,45,51,169,75,31,66,153,30,195,80,1,84,21,114,0,92,186,64,125,176,100,201,70,88,34,12,101,156,14,161,189,203,170,154,166,99,94,163,141,98,129,72,43,171,9,192,26,115,2,103,162,16,106,76,56,102,112,184,117,178,191,181,143,160,147,110,5,33,116,146,77,194,97,68,137,130,107,63,19,50,29,90,200,58,139,89,165,131,196,138,81,120,83,15,142,168,52,123,53,54,41,40,6,199,27,36,4,134,71,82,124,69,87,17,197,177,182,118,104,135,114,67,111,129,27,39,178,2,14,116,176,45,125,24,12,188,40,186,61,176,139,6,2,99,92,116,92,57,161,53,71,114,161,83,123,121,57,61,115,127,115,99,186,106,146,193,4,26,26,140,110,160,124,161,126,29,119,156,183,41,108,99,114,189,20,140,56,162,159,98,104,133,64,39,40,140,82,143,193,111,171,11,167,11,190,174,69,126,121,82,195,56,12,6,174,186,134,72,123,161,184,188,198,134,113,110,5,33,24,184,72,0,159,147,164,34,201,83,6,86,40,159,173,43,192,15,53,116,98,120,114,26,12,200,27,124,203,163,88,16,81,114,98,188,168,94,150,27,41,38,186,82,86,195,199,49,40,42,96,166,43,54,3,110,160,85,64,143,138,161,113,124,94,119,14,36,4,126,126,133,65,156,71,186,140,36,29,173,73,28,78,116,70,186,5,191,112,42,52,13,108,179,111,86,47,54,13,191,116,19,102,109,16,185,6,94,85,155,124,38,175,112,82,94,159,147,32,149,82,180,71,169,163,203,71,70,201,173,187,9,61,55,98,13,160,168,3,68,168,176,133,92,77,158,3,15,5,159,20,112,168,57,181,193,170,178,110,163,136,180,143,112,127,167,20,92,6,11,38,11,154,28,72,136,41,5,178,34,106,121,159,142,182,9,48,43,85,88,43,2,189,203,75,156,43,24,110,193,134,30,98,83,101,85,114,70,172,0,24,167,83,120,127,55,73,121,106,149,172,34,102,140,143,14,46,167,34,106,76,163,191,73,46,30,56,83,189,55,185,40,126,167,15,76,70,123,189,69,56,43,176,183,40,4,60,134,167,203,172,25,201,156,92,31,70,83,92,5,114,2,170,134,15,168,120,61,133,166,110,71,3,43,75,199,78,9,193,200,46,27,50,71,2,71,27,201,113,140,127,36,111,124,123,82,54,106,117,123,136,36,77,125,4,100,76,119,59,92,100,77,136,142,21,143,81,129,199,24,41,38,124,94,159,110,147,106,147,9,179,201,55,14,94,86,40,99,184,54,109,167,120,203,178,29,31,72,41,175,26,11,160,1,162,92,183,40,28,71,199,27,20,178,121,201,71,61,110,201,9,69,12,36,141,36,57,21,52,24,15,183,164,9,201,27,124,199,86,190,167,46,20,110,82,114,69,72,189,100,54,100,38,102,131,111,156,94,5,124,203,124,115,82,141,86,154,60,20,195,72,106,189,116,150,48,71,0,61,43,77,149,147,101,188,158,70,28,81,88,186,24,43,146,72,102,56,68,191,102,15,36,191,143,27,31,164,203,11,164,92,39,31,57,188,201,43,71,9,106,147,178,96,134,85,179,52,73,16,171,116,120,88,98,170,13,88,133,52,16,114,53,134,116,160,36,52,181,53,119,150,27,36,66,15,120,110,88,71,5,71,159,21,36,20,162,174,172,110,34,164,26,171,168,99,47,81,94,98,76,111,29,55,108,160,114,164,124,36,34,143,20,152,88,154,185,199,3,36,64,85,193,193,61,54,27,2,102,168,159,34,140,4,162,82,71,32,117,181,27,9,168,67,198,192,190,52,115,193,85,176,192,67,188,156,54,77,61,86,162,47,100,60,188,123,188,99,33,71,71,0,115,76,67,11,14,2,69,141,184,36,168,4,120,188,199,142,109,36,83,6,67,170,25,159,46,186,193,106,0,70,76,124,134,175,124,156,117,26,32,177,133,188,85,168,60,156,85,6,6,69,168,4,171,12,81,86,160,11,168,88,114,100,59,110,126,78,163,142,109,160,80,199,161,114,83,42,54,121,142,9,70,117,129,99,185,19,186,184,143,203,126,103}

Returns: "Possible"
2

1

{0 }

{1 }

Returns: "Impossible"
3

3

{0 }

{1 }

Returns: "Possible"
4

2

{1, 2 }

{2, 3 }

Returns: "Impossible"
4

3

{1 }

{2 }

Returns: "Possible"
7

6

{0, 1, 4 }

{1, 2, 5 }

Returns: "Possible"
1000

999

{0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 190, 192, 194, 196, 198, 200, 202, 204, 206, 208, 210, 212, 214, 216, 218, 220, 222, 224, 226, 228, 230, 232, 234, 236, 238, 240, 242, 244, 246, 248, 250, 252, 254, 256, 258, 260, 262, 264, 266, 268, 270, 272, 274, 276, 278, 280, 282, 284, 286, 288, 290, 292, 294, 296, 298, 300, 302, 304, 306, 308, 310, 312, 314, 316, 318, 320, 322, 324, 326, 328, 330, 332, 334, 336, 338, 340, 342, 344, 346, 348, 350, 352, 354, 356, 358, 360, 362, 364, 366, 368, 370, 372, 374, 376, 378, 380, 382, 384, 386, 388, 390, 392, 394, 396, 398, 400, 402, 404, 406, 408, 410, 412, 414, 416, 418, 420, 422, 424, 426, 428, 430, 432, 434, 436, 438, 440, 442, 444, 446, 448, 450, 452, 454, 456, 458, 460, 462, 464, 466, 468, 470, 472, 474, 476, 478, 480, 482, 484, 486, 488, 490, 492, 494, 496, 498, 500, 502, 504, 506, 508, 510, 512, 514, 516, 518, 520, 522, 524, 526, 528, 530, 532, 534, 536, 538, 540, 542, 544, 546, 548, 550, 552, 554, 556, 558, 560, 562, 564, 566, 568, 570, 572, 574, 576, 578, 580, 582, 584, 586, 588, 590, 592, 594, 596, 598, 600, 602, 604, 606, 608, 610, 612, 614, 616, 618, 620, 622, 624, 626, 628, 630, 632, 634, 636, 638, 640, 642, 644, 646, 648, 650, 652, 654, 656, 658, 660, 662, 664, 666, 668, 670, 672, 674, 676, 678, 680, 682, 684, 686, 688, 690, 692, 694, 696, 698, 700, 702, 704, 706, 708, 710, 712, 714, 716, 718, 720, 722, 724, 726, 728, 730, 732, 734, 736, 738, 740, 742, 744, 746, 748, 750, 752, 754, 756, 758, 760, 762, 764, 766, 768, 770, 772, 774, 776, 778, 780, 782, 784, 786, 788, 790, 792, 794, 796, 798, 800, 802, 804, 806, 808, 810, 812, 814, 816, 818, 820, 822, 824, 826, 828, 830, 832, 834, 836, 838, 840, 842, 844, 846, 848, 850, 852, 854, 856, 858, 860, 862, 864, 866, 868, 870, 872, 874, 876, 878, 880, 882, 884, 886, 888, 890, 892, 894, 896, 898, 900, 902, 904, 906, 908, 910, 912, 914, 916, 918, 920, 922, 924, 926, 928, 930, 932, 934, 936, 938, 940, 942, 944, 946, 948, 950, 952, 954, 956, 958, 960, 962, 964, 966, 968, 970, 972, 974, 976, 978, 980, 982, 984, 986, 988, 990, 992, 994, 996, 998 }

{1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 233, 235, 237, 239, 241, 243, 245, 247, 249, 251, 253, 255, 257, 259, 261, 263, 265, 267, 269, 271, 273, 275, 277, 279, 281, 283, 285, 287, 289, 291, 293, 295, 297, 299, 301, 303, 305, 307, 309, 311, 313, 315, 317, 319, 321, 323, 325, 327, 329, 331, 333, 335, 337, 339, 341, 343, 345, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 369, 371, 373, 375, 377, 379, 381, 383, 385, 387, 389, 391, 393, 395, 397, 399, 401, 403, 405, 407, 409, 411, 413, 415, 417, 419, 421, 423, 425, 427, 429, 431, 433, 435, 437, 439, 441, 443, 445, 447, 449, 451, 453, 455, 457, 459, 461, 463, 465, 467, 469, 471, 473, 475, 477, 479, 481, 483, 485, 487, 489, 491, 493, 495, 497, 499, 501, 503, 505, 507, 509, 511, 513, 515, 517, 519, 521, 523, 525, 527, 529, 531, 533, 535, 537, 539, 541, 543, 545, 547, 549, 551, 553, 555, 557, 559, 561, 563, 565, 567, 569, 571, 573, 575, 577, 579, 581, 583, 585, 587, 589, 591, 593, 595, 597, 599, 601, 603, 605, 607, 609, 611, 613, 615, 617, 619, 621, 623, 625, 627, 629, 631, 633, 635, 637, 639, 641, 643, 645, 647, 649, 651, 653, 655, 657, 659, 661, 663, 665, 667, 669, 671, 673, 675, 677, 679, 681, 683, 685, 687, 689, 691, 693, 695, 697, 699, 701, 703, 705, 707, 709, 711, 713, 715, 717, 719, 721, 723, 725, 727, 729, 731, 733, 735, 737, 739, 741, 743, 745, 747, 749, 751, 753, 755, 757, 759, 761, 763, 765, 767, 769, 771, 773, 775, 777, 779, 781, 783, 785, 787, 789, 791, 793, 795, 797, 799, 801, 803, 805, 807, 809, 811, 813, 815, 817, 819, 821, 823, 825, 827, 829, 831, 833, 835, 837, 839, 841, 843, 845, 847, 849, 851, 853, 855, 857, 859, 861, 863, 865, 867, 869, 871, 873, 875, 877, 879, 881, 883, 885, 887, 889, 891, 893, 895, 897, 899, 901, 903, 905, 907, 909, 911, 913, 915, 917, 919, 921, 923, 925, 927, 929, 931, 933, 935, 937, 939, 941, 943, 945, 947, 949, 951, 953, 955, 957, 959, 961, 963, 965, 967, 969, 971, 973, 975, 977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999 }

Returns: "Impossible"
992

501

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Returns: "Impossible"
5

4

{0, 2, 3 }

{1, 3, 4 }

Returns: "Impossible"
1000

999

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Returns: "Impossible"

Statistics

Problem Statement for "DarkMatterParticles"

Problem Statement

Definition

Constraints

Examples