Problem Statement
The company currently offers several bidirectional flights. You are given the information about these flights in the
Fox Airline is too big, so Ciel has to split it into two new companies. After the split, each of the current flights will belong to one of the two new companies.
We say that a company services the entire region if it is possible to travel between all cities in the region by just using flights of that company. Fox Ciel wants to know whether it is possible to split her company in such a way that each of the two new companies will service the entire region (i.e., all n cities). Return "Possible" if it can be done, and "Impossible" otherwise.
Definition
- Class:
- FoxAirline2
- Method:
- isPossible
- Parameters:
- int, int[], int[]
- Returns:
- String
- Method signature:
- String isPossible(int n, int[] a, int[] b)
- (be sure your method is public)
Constraints
- n will be between 2 and 10, inclusive.
- a will contain between 1 and 50 elements, inclusive.
- a and b will contain the same number of elements.
- Each element in a will be between 0 and n-1, inclusive.
- Each element in b will be between 0 and n-1, inclusive.
- For each i, a[i] != b[i].
Examples
4
{0,0,0,1,1,2}
{1,2,3,2,3,3}
Returns: "Possible"
One possible solution is to assign the flights {(0,1), (0,2), (2,3)} to one company and the flights {(0,3), (1,2), (1,3)} to the other company.
6
{0,0,0,0,1,1,1,2,2,3,0}
{1,2,3,4,2,3,4,3,4,4,5}
Returns: "Impossible"
Note that Ciel's current company has only one flight that visits airport 5. Regardless of how we divide the flights between the two new companies, one of those companies won't have any flights that visit airport 5.
5
{0,0,0,1,1,2,2,3}
{1,2,4,2,4,3,4,4}
Returns: "Possible"
2
{0,1,1}
{1,0,0}
Returns: "Possible"
Note that there may be multiple flights between some pairs of airports.
10
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 6, 7, 8, 9, 7, 8, 9, 8, 9, 9}
Returns: "Possible"
2
{0}
{1}
Returns: "Impossible"
10
{3, 0, 7, 6, 6, 2, 9, 6, 7, 4, 0, 9, 6, 7, 8, 3, 2, 7, 7, 0, 9, 2, 3, 7, 1, 3, 6, 7, 0, 6, 4, 3, 9, 6, 5, 1, 0, 6, 4, 8, 7, 9, 7, 2, 9, 0, 8, 5, 7, 5}
{9, 1, 5, 1, 2, 5, 3, 9, 0, 9, 4, 8, 1, 2, 3, 7, 8, 3, 1, 4, 3, 1, 8, 5, 0, 5, 3, 6, 7, 2, 2, 1, 3, 2, 2, 4, 2, 8, 1, 0, 4, 7, 4, 3, 8, 9, 0, 4, 5, 7}
Returns: "Possible"
10
{0, 0, 3, 4, 5, 2, 7, 8, 6, 8, 8, 1, 6, 3, 7, 7, 7, 3, 8, 0, 7, 8, 5, 5, 4, 2, 4, 7, 0, 5, 3, 8, 1, 2, 7, 2, 1, 4, 4, 6, 0, 8, 6, 4, 4, 3, 0, 3, 7, 8}
{8, 2, 0, 6, 1, 1, 4, 4, 5, 2, 4, 7, 0, 5, 6, 5, 4, 5, 4, 7, 3, 1, 8, 2, 0, 0, 8, 4, 7, 3, 7, 6, 0, 0, 3, 6, 4, 5, 2, 0, 8, 2, 1, 7, 6, 5, 6, 4, 2, 4}
Returns: "Impossible"
10
{8, 7, 5, 9, 2, 9, 0, 1, 6, 2, 3, 0, 1, 3, 1, 2, 1, 8}
{5, 2, 4, 7, 5, 3, 1, 9, 8, 9, 9, 9, 7, 8, 8, 4, 5, 6}
Returns: "Possible"
10
{3, 1, 7, 6, 6, 5, 3, 1, 6, 6, 3, 2, 5, 1, 1, 5, 5, 4}
{1, 7, 4, 7, 2, 0, 0, 9, 8, 8, 7, 9, 7, 6, 2, 2, 0, 7}
Returns: "Possible"
10
{2, 0, 7, 9, 5, 3, 2, 3, 7, 9, 5, 1, 9, 4, 7, 0, 3, 6}
{9, 8, 3, 7, 0, 0, 1, 6, 4, 4, 2, 4, 6, 8, 3, 7, 2, 3}
Returns: "Possible"
10
{8, 6, 9, 9, 1, 7, 3, 8, 4, 7, 9, 5, 8, 7, 4, 4, 3, 6}
{0, 8, 2, 5, 0, 0, 2, 9, 6, 8, 2, 2, 6, 5, 2, 0, 7, 1}
Returns: "Possible"
10
{7, 7, 9, 0, 2, 4, 4, 2, 5, 6, 7, 5, 9, 2, 1, 3, 0, 0}
{3, 8, 1, 1, 4, 6, 7, 0, 2, 8, 5, 0, 2, 6, 6, 0, 6, 4}
Returns: "Possible"
10
{1, 2, 4, 2, 8, 7, 3, 1, 5, 3, 5, 9, 3, 8, 4, 9, 2, 6}
{9, 0, 8, 1, 7, 1, 1, 6, 7, 0, 9, 1, 9, 9, 9, 7, 9, 7}
Returns: "Possible"
10
{1, 5, 4, 1, 4, 3, 6, 6, 1, 4, 0, 7, 5, 8, 2, 6, 4, 7}
{0, 1, 1, 2, 9, 7, 9, 8, 7, 3, 3, 1, 0, 2, 9, 2, 7, 6}
Returns: "Possible"
10
{7, 5, 5, 6, 6, 4, 9, 0, 6, 0, 7, 4, 9, 3, 5, 1, 6, 8}
{3, 4, 2, 3, 5, 8, 0, 7, 1, 9, 4, 9, 2, 6, 7, 7, 4, 6}
Returns: "Possible"
10
{1, 8, 1, 1, 9, 2, 1, 3, 6, 4, 3, 2, 0, 4, 9, 7, 5, 1}
{0, 6, 7, 4, 4, 9, 5, 8, 1, 2, 1, 6, 9, 3, 3, 6, 8, 8}
Returns: "Possible"
10
{2, 5, 6, 9, 4, 1, 8, 9, 3, 6, 4, 9, 4, 6, 2, 1, 0, 3}
{7, 7, 1, 2, 5, 9, 0, 8, 4, 5, 0, 1, 8, 3, 7, 7, 9, 1}
Returns: "Possible"
10
{1, 3, 6, 7, 2, 4, 8, 2, 9, 2, 6, 4, 2, 3, 7, 6, 0, 5}
{6, 6, 0, 3, 7, 1, 3, 5, 5, 3, 7, 2, 1, 9, 5, 8, 3, 3}
Returns: "Possible"
10
{7, 6, 6, 9, 7, 3, 0, 5, 2, 9, 1, 0, 6, 4, 6, 7, 5, 2}
{6, 8, 2, 5, 4, 5, 3, 7, 1, 7, 3, 7, 3, 8, 9, 4, 6, 6}
Returns: "Possible"
10
{4, 5, 0, 0, 8, 0, 6, 3, 9, 4, 1, 0, 8, 1, 0, 3, 5, 9}
{0, 3, 1, 8, 9, 3, 3, 7, 2, 3, 7, 6, 6, 4, 1, 9, 9, 2}
Returns: "Possible"
10
{6, 0, 4, 0, 5, 5, 3, 2, 7, 8, 5, 8, 3, 2, 6, 8, 1, 5}
{0, 9, 2, 2, 8, 4, 5, 7, 1, 6, 9, 5, 8, 4, 7, 4, 5, 0}
Returns: "Possible"
10
{6, 2, 1, 3, 7, 6, 4, 2, 7, 5, 3, 1, 1, 3, 1, 2, 7, 6}
{0, 5, 6, 1, 9, 5, 0, 7, 8, 4, 6, 5, 8, 5, 0, 8, 6, 9}
Returns: "Possible"
10
{0, 2, 5, 1, 0, 2, 8, 9, 4, 2, 7, 7, 7, 8, 5, 8, 6, 5}
{1, 6, 1, 3, 7, 7, 5, 5, 9, 3, 9, 1, 4, 9, 1, 6, 3, 0}
Returns: "Possible"
10
{2, 9, 7, 3, 2, 4, 4, 9, 6, 0, 5, 5, 6, 3, 7, 9, 5, 5}
{5, 7, 0, 2, 0, 1, 3, 8, 2, 8, 3, 9, 8, 1, 5, 6, 4, 2}
Returns: "Possible"
10
{9, 3, 8, 7, 1, 0, 5, 9, 2, 0, 7, 0, 3, 7, 9, 8, 5, 3}
{6, 5, 6, 9, 7, 6, 1, 4, 5, 5, 1, 6, 4, 3, 2, 5, 3, 2}
Returns: "Possible"
10
{2, 2, 3, 2, 9, 7, 0, 5, 1, 2, 5, 8, 8, 5, 5, 3, 9, 7}
{4, 8, 8, 6, 4, 5, 2, 8, 3, 7, 8, 4, 0, 6, 1, 6, 7, 1}
Returns: "Possible"
10
{3, 1, 0, 9, 8, 1, 9, 5, 7, 7, 6, 7, 6, 0, 6, 6, 9, 8}
{4, 8, 9, 1, 4, 2, 6, 6, 5, 1, 1, 3, 4, 5, 5, 9, 2, 3}
Returns: "Possible"
10
{8, 4, 0, 5, 7, 8, 1, 8, 0, 2, 7, 3, 6, 6, 9, 4, 8, 5}
{4, 9, 2, 0, 9, 0, 0, 6, 3, 6, 6, 7, 1, 0, 3, 6, 7, 6}
Returns: "Possible"
10
{1, 1, 8, 4, 9, 9, 1, 8, 5, 9, 3, 4, 5, 7, 0, 5, 0, 2}
{3, 7, 2, 3, 4, 2, 5, 6, 0, 1, 2, 3, 3, 9, 1, 7, 8, 6}
Returns: "Possible"
10
{2, 6, 6, 7, 3, 4, 3, 7, 1, 7, 2, 5, 5, 8, 9, 2, 7, 1}
{5, 5, 0, 2, 9, 6, 7, 1, 8, 9, 6, 6, 3, 7, 3, 4, 0, 8}
Returns: "Possible"
10
{5, 1, 7, 3, 3, 8, 6, 9, 1, 6, 3, 4, 7, 4, 6, 8, 5, 9}
{6, 0, 4, 4, 2, 2, 4, 6, 8, 2, 4, 6, 0, 5, 0, 4, 9, 1}
Returns: "Possible"
10
{0, 4, 7, 9, 9, 2, 6, 5, 7, 3, 3, 1, 8, 0, 9, 8, 8, 5}
{7, 6, 2, 1, 3, 1, 9, 3, 8, 0, 1, 2, 3, 7, 7, 4, 6, 1}
Returns: "Possible"
10
{8, 7, 7, 0, 9, 5, 6, 8, 5, 4, 6, 8, 2, 7, 3, 1, 9, 0}
{4, 0, 6, 3, 5, 8, 8, 1, 2, 6, 5, 2, 4, 2, 2, 6, 1, 8}
Returns: "Possible"
10
{2, 3, 6, 9, 1, 4, 5, 7, 0, 0, 7, 6, 2, 5, 2, 1, 1, 3}
{7, 5, 4, 4, 5, 7, 8, 5, 6, 6, 8, 2, 4, 3, 8, 7, 9, 1}
Returns: "Possible"
10
{0, 6, 6, 3, 1, 8, 4, 6, 7, 1, 2, 9, 1, 0, 1, 4, 8, 0}
{1, 2, 9, 8, 2, 2, 3, 5, 0, 9, 7, 7, 5, 2, 6, 6, 5, 3}
Returns: "Possible"
10
{6, 6, 4, 0, 9, 8, 2, 9, 8, 7, 6, 8, 9, 5, 9, 0, 1, 4}
{2, 0, 1, 7, 0, 5, 4, 8, 3, 5, 3, 0, 3, 8, 1, 9, 2, 2}
Returns: "Possible"
10
{5, 4, 9, 4, 2, 7, 7, 0, 2, 5, 7, 3, 7, 2, 1, 8, 2, 9}
{9, 6, 6, 8, 3, 3, 6, 9, 1, 8, 6, 8, 1, 4, 0, 0, 8, 3}
Returns: "Possible"
10
{7, 1, 0, 7, 0, 6, 8, 3, 2, 0, 9, 0, 9, 1, 6, 5, 7, 2}
{9, 7, 4, 5, 5, 5, 5, 5, 8, 1, 8, 9, 3, 4, 7, 3, 1, 5}
Returns: "Possible"
10
{1, 2, 9, 9, 4, 5, 7, 5, 3, 6, 5, 8, 7, 8, 1, 6, 4, 9, 9, 6, 8, 1, 2, 9, 1}
{2, 6, 6, 8, 8, 1, 6, 3, 0, 3, 0, 2, 8, 0, 8, 1, 5, 1, 6, 1, 2, 8, 5, 0, 7}
Returns: "Possible"
10
{4, 3, 0, 9, 0, 7, 0, 1, 8, 9, 4, 7, 6, 3, 6, 8, 1, 3, 3, 6, 2, 8, 8, 8, 1, 0, 9, 3, 8, 4, 3, 9, 0, 0, 6, 9, 8, 3, 9, 3, 8, 2, 9, 0}
{6, 0, 4, 8, 9, 0, 5, 0, 2, 3, 0, 4, 5, 0, 2, 4, 7, 2, 8, 1, 0, 0, 0, 4, 8, 3, 3, 4, 2, 7, 0, 2, 6, 2, 1, 2, 0, 9, 2, 6, 2, 4, 5, 6}
Returns: "Possible"
10
{3, 8, 2, 1, 2, 8, 4, 0, 2, 3, 4, 9, 9, 0, 8, 5, 0, 7, 6, 5, 5, 5, 2, 7, 5, 3, 0, 8, 5, 9, 4, 0, 3, 0, 7, 4, 4, 9, 0, 5, 1, 3, 9, 2, 5, 0, 0}
{7, 2, 6, 8, 5, 7, 0, 9, 0, 8, 6, 1, 5, 3, 7, 2, 9, 4, 5, 7, 0, 4, 4, 9, 8, 2, 6, 7, 2, 4, 6, 1, 0, 8, 9, 6, 3, 8, 9, 3, 8, 5, 3, 9, 2, 8, 8}
Returns: "Possible"
10
{8, 7, 7, 7, 9, 2, 3, 7, 6, 9, 8, 3, 6, 7, 5, 0, 0, 2, 7}
{1, 0, 5, 8, 6, 6, 8, 4, 5, 7, 3, 0, 1, 5, 4, 1, 5, 9, 9}
Returns: "Possible"
10
{8, 5, 0, 9, 7, 7, 7, 5, 4, 7, 6, 9, 2, 4, 8, 6, 9, 9, 1, 9, 2, 0, 4, 8, 2, 7, 0, 2, 5, 9, 2, 8, 8, 2, 1, 7, 4, 2, 5}
{7, 7, 8, 5, 1, 2, 3, 6, 0, 5, 4, 0, 7, 5, 6, 0, 1, 3, 6, 7, 1, 5, 3, 5, 6, 2, 9, 8, 1, 7, 0, 2, 9, 6, 4, 6, 2, 9, 2}
Returns: "Possible"
10
{1, 9, 3, 9, 8, 0, 3, 0, 7, 7, 8, 5, 5, 4, 1, 6, 9, 7, 7, 0, 3, 0, 5, 0, 0, 3, 6, 0, 2, 4, 6, 7, 5, 9, 4, 0, 8, 5, 1, 8, 1, 2, 3, 4, 4, 6, 0, 8, 8}
{5, 2, 9, 4, 3, 9, 6, 5, 4, 2, 6, 8, 9, 1, 3, 7, 0, 1, 8, 3, 4, 8, 8, 5, 4, 6, 7, 8, 1, 3, 9, 6, 7, 7, 7, 5, 3, 7, 7, 5, 4, 4, 8, 6, 7, 7, 8, 4, 1}
Returns: "Possible"
10
{2, 5, 7, 5, 4, 0, 7, 1, 9, 2, 9, 6, 9, 5, 4, 0, 0, 9, 2, 3, 7, 4, 5, 4, 2, 5, 1, 4, 6, 7, 8, 6, 7, 0, 0, 4, 3, 3, 8, 3, 6, 3, 7, 5}
{8, 4, 0, 0, 2, 1, 3, 6, 3, 1, 5, 9, 4, 3, 8, 7, 5, 2, 0, 7, 3, 7, 3, 3, 9, 6, 4, 6, 2, 5, 7, 4, 5, 2, 5, 2, 9, 4, 3, 5, 9, 4, 0, 0}
Returns: "Possible"
10
{4, 9, 7, 8, 3, 3, 5, 7, 9, 7, 5, 4, 7, 0, 2, 2, 9, 8, 0, 3, 0, 4, 7, 0, 4, 1, 0, 2, 9, 2, 2, 4, 0, 1, 0, 3, 3, 4, 8, 5, 1, 4, 8, 6}
{9, 2, 9, 7, 0, 5, 2, 1, 6, 4, 3, 1, 5, 4, 9, 1, 6, 7, 6, 9, 8, 0, 4, 8, 9, 4, 8, 6, 0, 1, 0, 3, 9, 5, 7, 0, 5, 2, 2, 7, 0, 7, 9, 3}
Returns: "Possible"
10
{0, 3, 4, 2, 4, 1, 0, 5, 2, 8, 4, 3, 5, 6, 1, 3, 9, 1, 7, 5, 1, 8, 2, 6, 6, 7, 2, 6, 4, 3, 5, 3, 3}
{7, 0, 6, 4, 7, 8, 1, 0, 9, 5, 0, 7, 6, 7, 3, 4, 7, 2, 4, 8, 7, 9, 8, 1, 7, 3, 8, 0, 6, 9, 7, 8, 6}
Returns: "Possible"
10
{7, 6, 2, 7, 4, 1, 3, 4, 5, 3, 4, 5, 6, 4, 7, 9, 7, 0, 9, 5, 4, 3, 6, 4, 5, 5, 3, 4, 3, 9, 3, 0, 8, 1, 9, 5}
{8, 0, 0, 5, 3, 9, 5, 9, 0, 1, 2, 8, 0, 1, 1, 4, 5, 3, 1, 7, 1, 0, 9, 2, 4, 9, 1, 1, 5, 5, 8, 4, 3, 6, 1, 1}
Returns: "Possible"
10
{8, 8, 7, 8, 8, 3, 6, 9, 5, 4, 8, 5, 6, 9, 9, 5, 0, 3, 5, 7, 3, 1, 3, 5, 2, 7, 6, 1, 3}
{9, 0, 1, 6, 3, 5, 4, 1, 2, 3, 0, 7, 1, 2, 5, 6, 7, 8, 4, 0, 2, 0, 0, 9, 6, 3, 1, 8, 5}
Returns: "Possible"
10
{2, 7, 1, 1, 9, 2, 6, 3, 4, 2, 7, 4, 0, 2, 9, 0, 8, 1, 5, 0, 2, 3, 9, 8, 8, 1, 3}
{5, 0, 7, 8, 2, 8, 5, 1, 1, 3, 6, 5, 5, 7, 2, 3, 3, 9, 4, 3, 9, 8, 1, 1, 0, 9, 0}
Returns: "Possible"
10
{7, 3, 8, 1, 1, 6, 1, 7, 5, 1, 8, 1, 2, 8, 4, 6, 6, 7, 0, 5, 1, 1, 0, 6, 6}
{4, 0, 2, 5, 2, 0, 6, 3, 9, 5, 3, 2, 4, 0, 8, 8, 9, 0, 4, 8, 5, 2, 1, 4, 8}
Returns: "Possible"
10
{5, 5, 5, 9, 0, 3, 0, 5, 2, 8, 1, 6, 8, 4, 6, 8, 3, 2, 1, 9, 9, 7, 4, 4, 6, 1, 6, 4, 4, 4, 5, 6, 4, 6, 7, 0, 0, 0, 5, 0, 3, 3, 1, 6, 3, 1}
{2, 1, 6, 6, 6, 9, 4, 8, 7, 4, 7, 0, 1, 5, 7, 9, 8, 5, 3, 4, 0, 0, 9, 3, 7, 9, 3, 6, 6, 1, 3, 3, 7, 1, 1, 1, 5, 9, 3, 4, 0, 2, 9, 7, 9, 2}
Returns: "Possible"
10
{5, 5, 9, 0, 3, 3, 1, 2, 9, 6, 7, 7, 9, 9, 6, 4, 0, 2, 6, 7, 1, 0, 8, 2, 1, 0, 3, 3, 2, 5, 9, 4, 4, 7, 4, 1, 2, 2, 9, 4, 9, 4, 5, 7}
{4, 1, 8, 4, 4, 2, 7, 8, 6, 3, 4, 0, 5, 1, 2, 3, 8, 9, 1, 9, 9, 5, 6, 6, 7, 5, 2, 2, 1, 7, 0, 6, 5, 2, 6, 3, 5, 9, 3, 5, 4, 5, 6, 3}
Returns: "Possible"
10
{5, 3, 7, 4, 7, 3, 3, 2, 7, 8, 7, 3, 7, 1, 4, 0, 8, 0, 2, 6, 4, 6, 2, 9, 6, 5, 8, 6, 9, 4, 6, 3, 2, 5, 9, 8, 2}
{6, 5, 0, 3, 1, 9, 0, 5, 8, 7, 9, 6, 5, 0, 3, 3, 2, 9, 6, 2, 1, 4, 0, 2, 3, 2, 0, 3, 7, 2, 0, 4, 6, 8, 3, 0, 3}
Returns: "Possible"
10
{5, 6, 8, 0, 3, 0, 9, 1, 2, 8, 2, 4, 4, 4, 1, 5, 5, 7, 2, 1, 1, 0, 1, 7, 8, 7, 2, 1, 7, 2, 7, 9, 3, 1, 0, 7, 2, 4, 7, 6, 0, 0}
{4, 8, 4, 2, 5, 7, 2, 4, 4, 1, 8, 6, 9, 3, 4, 0, 1, 5, 1, 9, 4, 4, 4, 4, 1, 6, 8, 8, 6, 3, 0, 5, 6, 3, 8, 5, 9, 6, 6, 5, 6, 4}
Returns: "Possible"
10
{4, 6, 6, 2, 8, 8, 3, 9, 3, 0, 7, 7, 6, 8, 6, 6, 1, 5, 3, 5, 1, 4, 8, 2, 9, 5, 2, 6}
{9, 7, 4, 8, 1, 7, 0, 5, 1, 4, 6, 3, 1, 4, 5, 0, 2, 9, 4, 7, 6, 3, 6, 0, 7, 7, 8, 8}
Returns: "Possible"
10
{1, 2, 5, 9, 7, 0, 5, 9, 1, 9, 1, 3, 3, 9, 1, 5, 7, 0, 5, 5, 2, 1, 6}
{8, 4, 4, 2, 6, 4, 6, 3, 0, 0, 6, 6, 2, 4, 0, 7, 2, 8, 3, 6, 7, 6, 5}
Returns: "Possible"
10
{5, 2, 7, 4, 3, 4, 6, 1, 9, 2, 0, 3, 8, 1, 8, 2, 7, 9, 1, 4, 7, 7, 8, 0, 4, 7, 6, 0, 7, 9}
{8, 4, 6, 5, 4, 0, 3, 8, 0, 4, 5, 8, 0, 4, 1, 6, 5, 8, 3, 3, 6, 3, 7, 9, 0, 6, 9, 9, 1, 6}
Returns: "Possible"
10
{0, 4, 8, 7, 4, 2, 0, 9, 8, 7, 7, 1, 4, 2, 5, 3, 5, 6, 5, 2, 5, 6, 3, 2, 6, 9, 9, 7, 6, 2, 4, 8, 8, 9, 6, 3}
{2, 3, 5, 3, 8, 9, 6, 3, 1, 5, 2, 5, 0, 8, 4, 8, 6, 9, 3, 7, 8, 0, 7, 4, 3, 5, 5, 6, 3, 9, 2, 0, 0, 3, 5, 2}
Returns: "Possible"
10
{3, 5, 2, 2, 6, 4, 4, 8, 5, 6, 5, 5, 9, 4, 1, 7, 8, 6, 3, 0, 3, 1, 1, 6}
{6, 3, 8, 9, 2, 0, 8, 1, 7, 2, 1, 8, 2, 6, 7, 2, 3, 0, 1, 3, 2, 6, 5, 9}
Returns: "Possible"
10
{1, 9, 2, 7, 6, 3, 9, 0, 4, 4, 8, 5, 5, 3, 1, 3, 2, 0, 4, 3, 1, 0, 7, 3, 9, 9, 4, 5, 5, 9, 9, 9, 9, 6, 8, 4, 7, 0, 8, 4, 4}
{5, 8, 6, 0, 8, 8, 5, 9, 1, 3, 4, 4, 2, 7, 4, 0, 6, 9, 9, 6, 9, 9, 2, 1, 5, 4, 9, 3, 1, 4, 2, 2, 1, 8, 9, 0, 3, 1, 2, 6, 3}
Returns: "Possible"
10
{9, 0, 7, 8, 9, 1, 6, 8, 8, 3, 9, 1, 9, 7, 7, 2, 5, 8, 0, 5, 4, 8, 1, 7, 3, 2, 1, 2, 5, 8, 3, 3, 1, 9, 0, 3, 1, 0, 6, 8, 8, 7, 1, 8}
{2, 2, 4, 3, 3, 9, 4, 5, 7, 6, 2, 6, 0, 8, 3, 6, 7, 4, 8, 2, 5, 5, 7, 3, 1, 9, 3, 8, 3, 3, 8, 4, 9, 3, 8, 5, 8, 9, 7, 4, 3, 1, 2, 2}
Returns: "Possible"
10
{7, 0, 2, 3, 0, 1, 6, 4, 7, 0, 4, 5, 7, 3, 4, 6, 1, 1, 0, 9, 2, 9, 7, 2, 1, 3, 2, 8, 6, 9}
{8, 9, 7, 6, 7, 3, 5, 2, 5, 8, 7, 0, 5, 8, 2, 4, 9, 7, 6, 8, 7, 1, 3, 6, 2, 8, 7, 7, 4, 7}
Returns: "Possible"
10
{4, 1, 5, 9, 6, 2, 5, 3, 0, 6, 3, 2, 1, 6, 6, 2, 7, 4, 8, 6, 5, 6, 3, 6, 2, 5, 3, 1, 5, 3, 1, 7, 2, 8, 7, 4, 1, 7, 8, 2, 4, 9, 4, 8, 3, 1, 1, 9, 2}
{9, 8, 8, 7, 9, 1, 9, 6, 3, 9, 5, 1, 0, 5, 2, 8, 4, 1, 0, 1, 1, 9, 7, 1, 3, 0, 5, 7, 1, 1, 7, 4, 4, 7, 1, 7, 3, 0, 0, 9, 9, 1, 0, 3, 2, 4, 9, 3, 6}
Returns: "Possible"
10
{0, 3, 9, 5, 7, 3, 8, 9, 2, 7, 0, 5, 0, 8, 7, 6, 3, 1, 6, 5, 0, 8, 9, 2, 0, 6, 3, 1, 3, 0, 8, 3, 0, 7, 2, 2}
{3, 7, 0, 4, 4, 6, 7, 1, 8, 2, 5, 9, 2, 5, 4, 7, 7, 5, 0, 9, 8, 0, 4, 3, 6, 3, 5, 2, 6, 2, 4, 5, 7, 2, 1, 3}
Returns: "Possible"
10
{5, 0, 3, 9, 3, 5, 8, 2, 7, 2, 1, 3, 6, 5, 6, 3, 7, 4, 5, 5, 1, 4, 0, 1, 2, 6, 4, 4, 3, 2, 2, 4}
{4, 4, 1, 3, 0, 6, 5, 4, 3, 6, 5, 5, 0, 4, 5, 8, 1, 9, 3, 2, 8, 3, 3, 9, 8, 2, 6, 0, 5, 8, 6, 3}
Returns: "Possible"
10
{5, 6, 9, 0, 8, 2, 5, 0, 3, 2, 0, 4, 8, 0, 8, 1, 8, 1, 4, 0, 1, 5, 7, 0, 0, 0, 3, 7, 6, 6, 4, 1, 9, 1}
{4, 8, 5, 5, 7, 4, 1, 8, 2, 8, 5, 7, 5, 3, 9, 9, 7, 6, 5, 7, 2, 2, 2, 2, 8, 8, 1, 5, 7, 8, 2, 4, 1, 6}
Returns: "Possible"
10
{5, 4, 6, 4, 6, 2, 0, 0, 3, 3, 4, 0, 7, 0, 9, 9, 3, 1, 6, 6, 6, 3, 0, 7, 3, 5, 9, 3, 7}
{9, 1, 9, 2, 7, 5, 8, 6, 1, 1, 2, 6, 3, 2, 7, 4, 8, 5, 9, 7, 7, 2, 5, 5, 2, 2, 0, 6, 8}
Returns: "Possible"
5
{3, 3, 2, 1, 1, 2, 3, 1, 1, 2, 3, 0}
{1, 4, 0, 0, 3, 4, 2, 0, 2, 4, 1, 4}
Returns: "Possible"
2
{1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0}
{0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1}
Returns: "Possible"
3
{2, 1, 1, 0, 0, 2, 2, 2, 2, 1}
{1, 0, 2, 1, 2, 0, 0, 0, 0, 2}
Returns: "Possible"
2
{1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}
{0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1}
Returns: "Possible"
7
{1, 3, 1, 3, 5, 0, 2, 3, 5, 0, 6, 1, 0, 6, 5, 3, 5, 3, 0, 3, 3, 5, 6, 3, 5, 0, 0, 2, 2, 2}
{4, 4, 2, 0, 3, 6, 6, 5, 0, 4, 0, 4, 6, 3, 1, 6, 6, 2, 6, 1, 6, 1, 4, 4, 3, 1, 6, 3, 1, 4}
Returns: "Possible"
5
{3, 2, 2, 0, 4, 1, 1, 3, 1, 1, 1, 4, 1, 4, 3, 0, 3, 4, 2, 0, 4}
{0, 4, 0, 1, 0, 0, 2, 1, 4, 4, 4, 0, 4, 1, 1, 2, 4, 2, 4, 1, 2}
Returns: "Possible"
5
{4, 4, 3, 2, 0, 2, 4, 1, 3, 0, 1, 0, 1, 0, 0, 1, 4, 4, 2, 2, 2, 1, 4, 2, 2, 3, 2, 2, 0, 2, 0, 4, 1, 2, 2, 1, 2, 2, 1, 0, 4}
{0, 1, 1, 1, 3, 0, 2, 2, 1, 2, 4, 3, 0, 4, 3, 2, 2, 1, 4, 3, 0, 3, 0, 3, 1, 4, 3, 1, 1, 3, 3, 0, 0, 0, 4, 2, 0, 1, 3, 3, 0}
Returns: "Possible"
4
{1, 3, 3, 3, 3, 1, 2, 0, 2, 2, 1}
{2, 0, 1, 2, 1, 0, 3, 1, 0, 0, 3}
Returns: "Possible"
4
{2, 2, 0, 2, 1, 3, 0, 1, 2, 3}
{3, 1, 3, 1, 0, 0, 3, 0, 1, 2}
Returns: "Possible"
9
{6, 0, 6, 7, 5, 5, 7, 1, 2, 8, 6, 4, 4, 6, 7, 2, 3, 3, 1, 2, 6, 1, 3, 8, 6, 2, 6, 2, 5, 5, 0, 6, 4, 5, 0, 2, 3, 1, 5, 1, 8, 7, 7, 5, 2, 7, 4, 4}
{2, 8, 4, 8, 3, 8, 1, 2, 3, 1, 5, 5, 1, 2, 6, 0, 4, 7, 0, 6, 2, 2, 5, 2, 4, 8, 1, 5, 1, 3, 5, 3, 1, 2, 2, 0, 5, 3, 2, 4, 0, 4, 2, 1, 4, 5, 5, 0}
Returns: "Possible"
8
{7, 6, 1, 4, 6, 5, 1, 7, 6, 2, 0, 1, 5, 7, 2, 7, 2, 0, 0, 6, 7, 4, 5}
{6, 1, 2, 6, 0, 4, 3, 4, 0, 4, 3, 4, 3, 3, 7, 6, 3, 5, 1, 1, 0, 2, 0}
Returns: "Possible"
6
{0, 5, 3, 0, 4, 1, 0, 4, 4, 5, 2, 2, 3, 5, 1, 0, 4, 0, 2, 4, 1, 2, 0, 2, 2, 2, 3, 0, 4, 1, 1, 1, 3, 2, 1, 5, 2, 3, 4}
{2, 3, 0, 1, 3, 3, 4, 3, 5, 2, 4, 3, 0, 3, 5, 3, 3, 2, 5, 5, 3, 3, 1, 4, 5, 5, 1, 1, 2, 0, 0, 3, 0, 4, 0, 1, 1, 5, 5}
Returns: "Possible"
5
{2, 0, 3, 4, 2, 3, 0, 2, 3, 1, 3, 4, 0, 4, 0, 0, 0, 2, 2}
{0, 1, 2, 2, 0, 1, 1, 4, 1, 0, 4, 2, 2, 1, 1, 2, 2, 3, 0}
Returns: "Possible"
7
{4, 5, 1, 5, 3, 1, 1, 4, 1, 2, 5, 6, 0, 2, 1, 1, 6, 4, 0, 3, 6, 1, 4, 0, 4, 4, 3, 2, 5, 6, 3, 0, 0, 2, 0, 0, 1, 6, 1, 3, 0, 3, 0, 0, 3, 6, 5}
{0, 0, 0, 2, 5, 6, 6, 2, 3, 6, 6, 0, 4, 1, 6, 5, 5, 1, 6, 2, 0, 4, 6, 2, 2, 1, 0, 5, 1, 5, 2, 1, 5, 3, 2, 6, 5, 1, 6, 0, 5, 1, 6, 1, 0, 3, 3}
Returns: "Possible"
9
{4, 7, 8, 4, 1, 5, 2, 8, 3, 2, 4, 6, 3, 3, 8, 5, 5, 0, 1, 8, 8, 2}
{0, 8, 6, 2, 7, 0, 3, 0, 5, 5, 1, 5, 1, 0, 1, 7, 8, 3, 3, 1, 2, 1}
Returns: "Possible"
4
{3, 1, 3, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 3, 0, 3, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 3, 1, 1, 1}
{1, 0, 2, 0, 3, 3, 2, 2, 2, 3, 2, 3, 1, 0, 1, 0, 3, 3, 0, 0, 1, 3, 0, 1, 2, 0, 1, 0, 3, 3, 0, 3, 2, 1, 0, 3, 0}
Returns: "Possible"
2
{1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1}
{0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0}
Returns: "Possible"
2
{1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1}
{0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}
Returns: "Possible"
8
{1, 3, 1, 4, 5, 3, 4, 2, 7, 4, 7, 6, 3, 3, 0, 1, 4, 1, 5, 6, 3, 6, 4, 1, 7, 2, 2, 0, 4, 2, 4, 7, 2, 0, 2, 3, 6, 3, 2, 2, 6, 4, 0, 0, 0, 5, 3, 0}
{6, 0, 2, 3, 0, 7, 2, 7, 0, 2, 5, 2, 5, 1, 3, 2, 7, 5, 7, 5, 2, 2, 7, 6, 6, 7, 6, 6, 3, 0, 1, 6, 4, 6, 5, 0, 7, 7, 6, 0, 3, 7, 7, 5, 4, 0, 2, 4}
Returns: "Possible"
2
{0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0}
{1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1}
Returns: "Possible"
10
{3, 0, 8, 8, 7, 2, 8, 8, 1, 5, 3, 1, 9, 7, 6, 5, 0, 8, 8, 5, 6, 1, 9, 3, 0, 8, 8, 5, 7, 7, 8, 3, 0, 9, 9, 5, 3, 9, 8, 0, 1, 8, 7, 0, 3, 5, 9, 0, 8, 1}
{1, 7, 9, 3, 6, 5, 3, 0, 9, 8, 6, 7, 8, 9, 9, 9, 7, 5, 9, 9, 0, 6, 6, 0, 9, 5, 5, 9, 6, 5, 9, 8, 7, 1, 8, 8, 9, 8, 5, 1, 0, 0, 9, 3, 1, 3, 3, 9, 7, 0}
Returns: "Impossible"
10
{7, 3, 7, 1, 4, 5, 3, 9, 8, 0, 7, 9, 5, 6, 4, 5, 9, 2, 6, 5, 3, 6, 5, 7, 3, 0, 1, 5, 3, 2, 1, 3, 8, 7, 1, 7, 2, 6, 3, 5, 8, 7, 8, 6, 9, 9, 0, 7, 3, 8}
{3, 2, 4, 0, 3, 8, 4, 5, 7, 6, 3, 5, 3, 2, 5, 3, 5, 0, 2, 8, 4, 2, 3, 8, 9, 1, 6, 8, 5, 6, 0, 5, 7, 8, 2, 8, 1, 2, 4, 3, 9, 8, 4, 2, 7, 4, 1, 8, 9, 3}
Returns: "Impossible"
10
{8, 4, 2, 3, 6, 4, 8, 2, 4, 3, 9, 5, 1, 2, 9, 5, 9, 2, 3, 0, 7, 4, 5, 2, 9, 9, 7, 9, 2, 7, 1, 4, 7, 3, 7, 7, 2, 2, 2, 1, 7, 2, 3, 8, 6, 4, 2, 3, 2, 2}
{7, 3, 1, 7, 0, 7, 6, 9, 7, 4, 4, 9, 2, 7, 1, 4, 3, 5, 1, 6, 3, 5, 9, 9, 3, 4, 5, 2, 3, 4, 3, 5, 4, 4, 9, 3, 4, 3, 4, 7, 9, 5, 1, 6, 8, 1, 3, 4, 5, 7}
Returns: "Impossible"
10
{7, 4, 2, 7, 4, 4, 4, 6, 3, 3, 3, 9, 3, 4, 5, 5, 3, 4, 9, 8, 8, 5, 6, 1, 3, 7, 9, 5, 3, 9, 6, 2, 0, 2, 4, 9, 4, 3, 2, 5, 3, 3, 5, 0, 6, 7, 6, 4, 1, 7}
{8, 2, 4, 3, 8, 8, 8, 3, 6, 6, 7, 3, 9, 1, 6, 3, 5, 1, 7, 2, 4, 7, 3, 2, 6, 5, 3, 0, 9, 7, 0, 8, 9, 8, 1, 7, 1, 0, 8, 7, 9, 9, 3, 6, 0, 6, 3, 2, 8, 0}
Returns: "Impossible"
10
{3, 5, 1, 1, 0, 2, 7, 2, 9, 1, 0, 7, 0, 3, 6, 0, 1, 9, 3, 3, 1, 7, 0, 7, 9, 0, 0, 7, 5, 7, 8, 0, 4, 7, 5, 4, 4, 6, 1, 4, 6, 6, 6, 5, 2, 1, 5, 1, 0, 6}
{6, 1, 7, 5, 3, 5, 2, 7, 6, 5, 5, 2, 3, 2, 9, 5, 3, 4, 5, 7, 7, 3, 1, 2, 4, 7, 7, 5, 0, 5, 4, 2, 8, 0, 2, 9, 8, 8, 5, 6, 4, 9, 4, 1, 5, 3, 7, 3, 1, 8}
Returns: "Impossible"
10
{3, 3, 2, 9, 0, 2, 9, 1, 3, 8, 3, 1, 5, 8, 0, 1, 0, 4, 9, 9, 4, 8, 1, 3, 6, 9, 1, 6, 5, 9, 9, 3, 3, 5, 4, 5, 0, 6, 4, 1, 1, 1, 3, 5, 5, 5, 7, 1, 4, 6}
{9, 6, 4, 6, 8, 7, 6, 4, 9, 5, 0, 6, 6, 5, 6, 6, 6, 9, 6, 8, 3, 4, 9, 0, 8, 1, 4, 0, 0, 5, 3, 9, 4, 8, 1, 6, 4, 8, 1, 6, 0, 0, 9, 1, 3, 9, 2, 0, 9, 3}
Returns: "Impossible"
10
{5, 9, 5, 7, 3, 9, 2, 8, 4, 7, 1, 1, 2, 6, 1, 8, 8, 3, 8, 0, 2, 3, 0, 2, 6, 3, 6, 7, 3, 3, 1, 8, 5, 9, 6, 5, 9, 3, 3, 7, 2, 3, 9, 2, 7, 4, 8, 2, 7, 9}
{2, 0, 8, 5, 4, 7, 8, 7, 3, 5, 4, 4, 8, 8, 3, 9, 6, 4, 7, 4, 6, 4, 3, 7, 9, 0, 8, 6, 4, 1, 4, 2, 8, 8, 7, 2, 8, 0, 1, 2, 7, 1, 6, 9, 9, 0, 9, 5, 9, 8}
Returns: "Impossible"
10
{3, 9, 4, 8, 7, 1, 1, 8, 2, 3, 8, 1, 0, 6, 6, 4, 2, 5, 7, 6, 4, 0, 2, 0, 6, 5, 2, 2, 0, 9, 2, 9, 8, 9, 4, 3, 7, 6, 4, 4, 4, 2, 6, 0, 0, 3, 7, 9, 9, 0}
{5, 1, 1, 1, 2, 8, 4, 5, 6, 7, 9, 9, 6, 2, 0, 8, 7, 8, 3, 2, 8, 3, 0, 6, 7, 8, 6, 0, 3, 4, 7, 1, 9, 1, 5, 2, 2, 2, 9, 5, 9, 6, 2, 7, 7, 6, 6, 1, 1, 6}
Returns: "Impossible"
10
{2, 7, 6, 1, 7, 2, 7, 3, 5, 0, 3, 0, 7, 9, 9, 9, 5, 5, 3, 4, 9, 7, 1, 5, 4, 5, 4, 1, 6, 9, 9, 4, 0, 0, 9, 7, 3, 8, 4, 8, 9, 6, 3, 6, 4, 4, 8, 8, 3, 6}
{4, 8, 8, 9, 2, 3, 8, 4, 0, 8, 9, 6, 6, 2, 1, 1, 0, 7, 4, 9, 2, 0, 2, 0, 2, 7, 1, 4, 5, 3, 1, 3, 5, 5, 2, 0, 2, 0, 1, 5, 3, 7, 9, 8, 3, 9, 6, 6, 2, 7}
Returns: "Impossible"
10
{4, 2, 7, 7, 9, 1, 3, 0, 4, 6, 9, 6, 4, 4, 1, 1, 7, 1, 1, 4, 6, 8, 0, 4, 1, 4, 8, 1, 9, 3, 9, 6, 7, 4, 4, 6, 1, 0, 6, 6, 9, 1, 4, 5, 7, 1, 6, 8, 9, 1}
{1, 3, 1, 3, 1, 6, 8, 7, 0, 7, 1, 4, 1, 3, 4, 0, 9, 4, 9, 9, 7, 3, 9, 7, 3, 0, 4, 9, 7, 8, 6, 8, 9, 3, 6, 1, 3, 4, 4, 8, 6, 8, 3, 2, 3, 7, 7, 3, 6, 8}
Returns: "Impossible"
10
{3, 4, 0, 7, 1, 1, 8, 6, 3, 6, 8, 3, 7, 9, 7, 5, 8, 8, 3, 9, 1, 7, 6, 3, 4, 9, 5, 8, 5, 7, 4, 8, 3, 8, 7, 3, 5, 0, 0, 3, 8, 2, 8, 5, 6, 0, 3, 0, 3, 6}
{2, 7, 8, 4, 2, 9, 6, 8, 8, 8, 6, 4, 6, 2, 5, 4, 5, 4, 4, 1, 9, 8, 4, 6, 8, 1, 6, 0, 0, 6, 6, 4, 4, 7, 8, 8, 4, 5, 8, 7, 6, 9, 7, 3, 7, 7, 4, 6, 7, 0}
Returns: "Impossible"
10
{0, 7, 6, 1, 6, 6, 7, 0, 9, 9, 5, 0, 6, 8, 6, 6, 2, 9, 6, 2, 4, 6, 5, 6, 2, 7, 6, 1, 8, 1, 2, 3, 1, 5, 4, 5, 4, 1, 8, 6, 5, 7, 7, 2, 9, 4, 2, 4, 4, 6}
{3, 4, 7, 3, 7, 5, 5, 3, 2, 2, 1, 3, 7, 7, 5, 4, 5, 5, 9, 4, 9, 9, 6, 1, 7, 1, 8, 4, 1, 8, 5, 0, 9, 2, 5, 8, 5, 4, 2, 2, 8, 4, 8, 4, 8, 5, 1, 1, 9, 9}
Returns: "Impossible"
10
{6, 6, 9, 5, 4, 3, 0, 3, 1, 5, 7, 3, 5, 1, 8, 9, 4, 7, 1, 3, 1, 9, 4, 3, 3, 4, 7, 7, 6, 4, 8, 5, 9, 5, 1, 4, 8, 5, 5, 1, 3, 8, 6, 6, 9, 8, 0, 8, 7, 1}
{0, 1, 8, 2, 9, 7, 4, 5, 4, 4, 4, 8, 1, 5, 4, 7, 9, 1, 7, 0, 4, 8, 1, 1, 1, 6, 1, 9, 1, 8, 1, 0, 1, 6, 7, 0, 3, 6, 3, 4, 1, 3, 7, 1, 6, 9, 4, 7, 0, 3}
Returns: "Impossible"
10
{0, 9, 0, 4, 7, 4, 1, 5, 1, 9, 8, 3, 7, 5, 5, 9, 1, 8, 7, 8, 5, 1, 8, 0, 6, 4, 3, 2, 7, 1, 9, 4, 8, 1, 6, 5, 3, 7, 5, 9, 7, 6, 0, 4, 4, 2, 0, 8, 6, 9}
{9, 7, 7, 5, 6, 3, 3, 4, 0, 0, 1, 5, 8, 2, 3, 0, 7, 7, 1, 1, 3, 0, 9, 9, 7, 2, 2, 3, 9, 0, 1, 2, 1, 7, 8, 2, 5, 6, 3, 1, 0, 8, 6, 2, 2, 5, 1, 6, 1, 8}
Returns: "Impossible"
10
{6, 4, 9, 0, 8, 3, 2, 4, 3, 6, 2, 5, 2, 1, 9, 7, 1, 5, 7, 8, 6, 8, 5, 2, 5, 6, 0, 6, 8, 5, 9, 6, 8, 5, 5, 3, 5, 8, 1, 6, 8, 2, 9, 0, 6, 5, 3, 0, 5, 3}
{3, 1, 2, 3, 1, 7, 9, 9, 0, 4, 9, 0, 1, 2, 2, 3, 4, 0, 3, 6, 1, 1, 3, 8, 7, 4, 7, 9, 1, 3, 1, 8, 1, 7, 3, 7, 7, 4, 6, 9, 9, 1, 8, 7, 2, 7, 0, 7, 3, 0}
Returns: "Impossible"
10
{9, 4, 9, 4, 0, 9, 5, 8, 6, 4, 7, 9, 6, 8, 5, 3, 6, 0, 6, 8, 8, 8, 0, 9, 6, 2, 0, 7, 2, 9, 3, 7, 9, 6, 8, 7, 0, 5, 1, 4, 7, 7, 9, 2, 5, 1, 9, 0, 9, 1}
{1, 2, 3, 3, 1, 7, 8, 5, 5, 3, 0, 0, 1, 6, 9, 2, 0, 5, 0, 1, 0, 9, 7, 8, 0, 4, 6, 9, 3, 1, 4, 6, 0, 8, 7, 8, 1, 8, 5, 2, 9, 5, 6, 3, 0, 0, 8, 7, 5, 5}
Returns: "Impossible"
10
{1, 3, 0, 9, 0, 7, 8, 9, 4, 6, 8, 3, 9, 9, 5, 0, 2, 7, 2, 6, 3, 4, 5, 3, 8, 2, 0, 9, 9, 5, 7, 1, 9, 8, 5, 6, 2, 6, 1, 2, 1, 6, 4, 0, 3, 1, 0, 4, 8, 4}
{9, 2, 7, 0, 9, 9, 7, 2, 1, 4, 9, 0, 8, 8, 1, 7, 8, 0, 8, 4, 9, 6, 6, 9, 3, 7, 2, 3, 0, 1, 9, 4, 8, 7, 4, 1, 8, 5, 5, 3, 5, 5, 1, 2, 8, 4, 7, 1, 9, 5}
Returns: "Impossible"
10
{5, 7, 3, 7, 9, 8, 8, 6, 9, 2, 8, 3, 8, 5, 8, 7, 0, 3, 7, 1, 7, 4, 9, 5, 1, 5, 6, 8, 4, 2, 4, 3, 0, 1, 9, 5, 7, 8, 0, 9, 0, 6, 3, 9, 2, 3, 2, 4, 1, 9}
{6, 0, 5, 6, 6, 5, 1, 9, 0, 9, 4, 5, 4, 8, 1, 2, 6, 1, 0, 5, 0, 3, 7, 1, 5, 1, 2, 1, 3, 0, 1, 1, 2, 3, 6, 1, 9, 1, 7, 2, 9, 7, 5, 0, 6, 8, 7, 1, 5, 7}
Returns: "Impossible"
10
{2, 1, 2, 8, 2, 7, 6, 6, 6, 9, 1, 9, 1, 0, 1, 0, 6, 9, 5, 2, 8, 8, 9, 9, 6, 7, 5, 9, 6, 2, 4, 3, 6, 4, 7, 4, 2, 8, 7, 9, 9, 4, 7, 1, 8, 7, 0, 8, 6, 2}
{0, 8, 5, 5, 0, 8, 8, 8, 5, 7, 7, 4, 8, 3, 5, 2, 5, 5, 9, 3, 6, 1, 8, 4, 7, 5, 1, 5, 8, 0, 7, 0, 9, 7, 9, 9, 3, 1, 6, 1, 6, 5, 5, 6, 1, 8, 2, 6, 4, 3}
Returns: "Impossible"
10
{9, 7, 0, 6, 4, 3, 3, 3, 9, 4, 7, 2, 8, 6, 9, 9, 7, 2, 5, 7, 6, 6, 0, 2, 5, 4, 4, 3, 1, 6, 4, 2, 3, 4, 8, 2, 8, 7, 3, 9, 7, 5, 5, 3, 0, 4, 8, 3, 6, 6}
{7, 6, 1, 8, 3, 4, 7, 2, 4, 2, 2, 9, 1, 1, 4, 2, 3, 3, 1, 9, 5, 5, 6, 4, 8, 9, 9, 7, 0, 0, 9, 9, 4, 2, 1, 3, 1, 3, 7, 3, 4, 8, 8, 7, 6, 2, 0, 9, 1, 8}
Returns: "Impossible"
10
{7, 0, 0, 4, 2, 5, 1, 0, 3, 2, 7, 5, 5, 7, 2, 9, 6, 3, 5, 6, 3, 7, 1, 3, 1, 4, 5, 8, 7, 7, 4, 3, 9, 5, 1, 7, 7, 0, 5, 7, 8, 9, 9, 9, 1, 8, 9, 9, 9, 8}
{6, 2, 5, 0, 1, 9, 3, 5, 7, 6, 3, 0, 4, 3, 6, 5, 1, 1, 0, 7, 2, 1, 6, 7, 2, 9, 8, 4, 1, 2, 8, 1, 5, 8, 6, 1, 1, 9, 0, 3, 9, 8, 4, 5, 3, 0, 8, 4, 4, 4}
Returns: "Impossible"
10
{0, 2, 3, 8, 1, 0, 9, 4, 1, 1, 8, 9, 4, 5, 9, 4, 3, 0, 0, 2, 3, 2, 2, 5, 4, 2, 7, 0, 9, 6, 6, 6, 6, 2, 5, 5, 3, 2, 6, 7, 0, 4, 0, 1, 8, 5, 5, 2, 0, 7}
{2, 6, 2, 9, 2, 5, 3, 3, 2, 6, 3, 3, 8, 0, 4, 8, 4, 7, 1, 1, 4, 0, 6, 6, 9, 0, 5, 2, 3, 7, 7, 5, 1, 6, 0, 6, 9, 1, 0, 2, 5, 3, 5, 7, 9, 7, 0, 7, 5, 5}
Returns: "Impossible"
10
{0, 7, 2, 6, 8, 2, 5, 6, 4, 9, 9, 9, 3, 4, 4, 5, 6, 5, 1, 4, 3, 8, 4, 6, 5, 0, 4, 4, 0, 3, 8, 3, 5, 5, 4, 5, 7, 8, 5, 6, 5, 9, 2, 9, 0, 0, 9, 4, 2, 2}
{5, 0, 0, 7, 5, 0, 8, 7, 9, 4, 5, 8, 5, 0, 8, 8, 7, 9, 7, 0, 4, 2, 9, 7, 0, 5, 3, 9, 8, 5, 3, 4, 9, 3, 5, 8, 6, 5, 9, 7, 9, 8, 9, 0, 2, 2, 0, 8, 0, 0}
Returns: "Impossible"
10
{7, 2, 9, 4, 1, 5, 8, 1, 6, 2, 8, 1, 4, 1, 5, 2, 5, 3, 7, 8, 8, 7, 8, 1, 3, 5, 2, 9, 2, 3, 5, 5, 5, 1, 5, 7, 1, 9, 0, 1, 1, 2, 7, 9, 0, 7, 4, 7, 4, 9}
{0, 7, 7, 6, 8, 2, 5, 0, 3, 8, 1, 0, 3, 0, 2, 7, 7, 9, 8, 7, 5, 5, 7, 0, 4, 1, 7, 3, 1, 4, 0, 0, 7, 2, 7, 2, 5, 4, 2, 5, 8, 8, 0, 6, 7, 5, 9, 5, 6, 3}
Returns: "Impossible"
10
{2, 7, 4, 1, 2, 1, 4, 1, 8, 0, 4, 1, 6, 4, 0, 5, 8, 5, 4, 5, 1, 7, 5, 5, 2, 0, 1, 1, 7, 8, 3, 2, 0, 0, 7, 3, 7, 7, 5, 0, 2, 6, 2, 5, 0, 8, 3, 2, 1, 2}
{7, 6, 3, 2, 0, 3, 5, 3, 6, 4, 2, 4, 9, 5, 5, 2, 9, 2, 5, 0, 4, 3, 0, 1, 7, 2, 7, 5, 1, 6, 7, 7, 1, 3, 2, 5, 5, 0, 0, 4, 4, 8, 3, 0, 5, 6, 0, 0, 3, 0}
Returns: "Impossible"
10
{6, 7, 1, 2, 8, 0, 5, 8, 7, 3, 8, 3, 1, 5, 3, 0, 9, 8, 7, 5, 9, 8, 7, 3, 0, 8, 8, 1, 9, 3, 8, 3, 7, 6, 3, 0, 1, 0, 1, 0, 7, 6, 0, 8, 9, 2, 6, 6, 2, 1}
{9, 1, 7, 4, 3, 7, 2, 9, 1, 8, 1, 1, 7, 6, 9, 9, 3, 3, 0, 6, 0, 1, 9, 1, 1, 1, 9, 0, 1, 0, 3, 0, 9, 5, 1, 1, 7, 7, 3, 3, 0, 5, 8, 1, 8, 6, 4, 4, 4, 9}
Returns: "Impossible"
10
{4, 9, 0, 4, 0, 8, 0, 1, 2, 5, 5, 7, 5, 8, 2, 7, 8, 6, 9, 2, 2, 9, 4, 8, 1, 2, 4, 5, 9, 1, 9, 4, 6, 8, 4, 3, 0, 5, 2, 8, 3, 2, 1, 7, 6, 0, 4, 5, 2, 2}
{6, 8, 2, 7, 2, 6, 8, 3, 0, 6, 9, 4, 9, 2, 6, 1, 0, 2, 0, 6, 5, 5, 3, 2, 4, 9, 7, 6, 2, 3, 0, 1, 8, 2, 3, 4, 9, 8, 9, 9, 7, 0, 4, 1, 5, 2, 1, 8, 9, 0}
Returns: "Impossible"
10
{3, 7, 6, 5, 1, 2, 5, 8, 9, 4, 4, 9, 7, 6, 6, 8, 7, 5, 7, 0, 8, 0, 7, 8, 8, 7, 3, 0, 3, 9, 0, 9, 6, 4, 0, 2, 9, 9, 2, 4, 9, 9, 8, 4, 4, 2, 8, 7, 6, 0}
{5, 8, 0, 6, 2, 3, 6, 7, 8, 8, 0, 7, 9, 5, 4, 7, 8, 6, 0, 6, 0, 4, 6, 7, 4, 4, 2, 5, 1, 7, 7, 7, 5, 6, 6, 1, 4, 0, 3, 7, 7, 8, 0, 7, 8, 3, 6, 8, 0, 8}
Returns: "Impossible"
10
{2, 6, 7, 4, 7, 7, 6, 1, 0, 0, 9, 3, 6, 2, 6, 7, 7, 5, 0, 8, 9, 1, 4, 7, 1, 0, 8, 5, 1, 9, 0, 8, 9, 7, 9, 2, 4, 1, 1, 8, 6, 7, 4, 4, 0, 3, 9, 3, 4, 3}
{4, 9, 1, 2, 1, 1, 5, 3, 9, 2, 2, 5, 1, 9, 7, 1, 6, 7, 4, 0, 0, 3, 2, 1, 7, 8, 2, 6, 3, 4, 2, 2, 0, 3, 0, 8, 0, 5, 5, 2, 3, 3, 0, 9, 2, 1, 2, 7, 0, 6}
Returns: "Impossible"
10
{5, 4, 3, 8, 8, 8, 5, 6, 8, 2, 5, 9, 2, 4, 6, 6, 0, 3, 5, 9, 3, 8, 5, 8, 3, 8, 3, 5, 2, 8, 9, 5, 8, 6, 3, 7, 2, 8, 3, 3, 6, 0, 1, 2, 5, 8, 4, 2, 3, 5}
{1, 8, 4, 4, 3, 6, 6, 5, 4, 4, 2, 1, 6, 3, 3, 4, 7, 4, 2, 0, 8, 2, 2, 5, 4, 5, 4, 2, 3, 4, 7, 8, 5, 8, 8, 9, 3, 5, 6, 2, 3, 9, 0, 5, 6, 5, 5, 3, 2, 3}
Returns: "Impossible"
10
{8, 1, 1, 1, 7, 0, 6, 5, 8, 4, 1, 5, 0, 2, 0, 8, 0, 1, 0, 1, 0, 0, 5, 9, 5, 4, 2, 4, 7, 9, 3, 5, 7, 0, 3, 1, 1, 1, 8, 1, 4, 2, 4, 5, 2, 1, 3, 5, 3, 5}
{1, 3, 2, 9, 6, 5, 7, 3, 6, 9, 4, 1, 2, 0, 1, 7, 1, 0, 2, 0, 2, 9, 9, 4, 9, 3, 4, 2, 6, 0, 4, 9, 8, 3, 1, 2, 2, 5, 7, 9, 2, 5, 3, 4, 1, 3, 9, 4, 1, 1}
Returns: "Impossible"
10
{7, 2, 5, 8, 0, 0, 9, 5, 2, 1, 5, 5, 1, 2, 9, 2, 0, 2, 2, 5, 5, 1, 9, 1, 6, 2, 8, 1, 9, 0, 9, 3, 5, 2, 1, 3, 9, 3, 5, 9, 3, 8, 5, 8, 9, 6, 1, 6, 1, 9}
{8, 9, 9, 4, 5, 5, 7, 7, 5, 9, 0, 7, 9, 7, 7, 9, 1, 9, 1, 2, 2, 2, 0, 9, 8, 1, 3, 2, 5, 5, 2, 8, 1, 9, 2, 8, 1, 8, 2, 7, 6, 3, 0, 6, 0, 3, 0, 3, 7, 7}
Returns: "Impossible"
10
{9, 2, 9, 9, 6, 4, 8, 0, 7, 7, 1, 4, 0, 9, 9, 6, 8, 5, 7, 0, 5, 5, 4, 8, 0, 6, 5, 7, 7, 6, 8, 5, 9, 0, 0, 6, 7, 1, 9, 9, 4, 0, 7, 9, 7, 9, 0, 7, 1, 1}
{7, 9, 8, 6, 7, 0, 0, 9, 1, 5, 0, 5, 5, 8, 5, 8, 4, 6, 1, 4, 1, 8, 7, 0, 1, 9, 4, 0, 1, 0, 4, 9, 7, 6, 6, 5, 5, 0, 4, 1, 8, 9, 9, 4, 5, 6, 9, 8, 9, 5}
Returns: "Impossible"
10
{8, 5, 4, 8, 1, 6, 3, 1, 0, 0, 0, 9, 2, 6, 7, 9, 0, 0, 2, 1, 6, 9, 1, 4, 4, 1, 8, 6, 7, 6, 4, 9, 5, 8, 3, 3, 9, 7, 6, 2, 5, 8, 9, 2, 6, 8, 3, 3, 9, 6}
{0, 1, 0, 2, 4, 3, 7, 5, 9, 9, 9, 4, 6, 3, 8, 4, 9, 4, 3, 0, 8, 4, 4, 1, 5, 0, 6, 8, 3, 3, 9, 1, 9, 3, 7, 2, 5, 8, 8, 3, 1, 2, 0, 3, 7, 2, 6, 2, 4, 2}
Returns: "Impossible"
10
{7, 6, 6, 9, 7, 0, 9, 1, 9, 0, 7, 5, 0, 1, 4, 3, 7, 7, 8, 8, 9, 9, 7, 6, 2, 8, 7, 5, 7, 7, 6, 3, 7, 1, 6, 3, 1, 8, 5, 7, 3, 4, 0, 1, 0, 9, 3, 4, 1, 7}
{6, 7, 9, 8, 3, 6, 2, 2, 8, 6, 3, 2, 3, 5, 7, 0, 3, 6, 5, 1, 1, 1, 6, 7, 8, 9, 3, 1, 3, 4, 4, 0, 6, 5, 0, 4, 9, 1, 8, 6, 0, 3, 6, 5, 3, 8, 0, 3, 9, 3}
Returns: "Impossible"
10
{5, 7, 6, 4, 5, 5, 7, 6, 1, 7, 3, 4, 5, 9, 4, 2, 6, 2, 2, 3, 9, 8, 2, 4, 5, 7, 6, 8, 9, 5, 3, 2, 4, 6, 7, 8, 5, 2, 7, 5, 7, 4, 2, 6, 9, 2, 7, 9, 1, 0}
{2, 0, 9, 9, 2, 4, 9, 3, 3, 9, 8, 0, 7, 4, 5, 0, 1, 5, 9, 1, 2, 3, 0, 5, 7, 5, 3, 1, 4, 4, 1, 0, 0, 8, 4, 6, 0, 9, 9, 9, 2, 0, 0, 1, 7, 5, 9, 4, 3, 9}
Returns: "Impossible"
10
{6, 3, 2, 0, 6, 4, 5, 0, 6, 9, 1, 1, 9, 0, 5, 1, 7, 1, 1, 1, 8, 1, 5, 6, 9, 4, 6, 3, 7, 4, 3, 7, 1, 6, 2, 8, 7, 5, 3, 6, 8, 9, 3, 6, 7, 6, 5, 0, 2, 6}
{8, 2, 7, 1, 5, 7, 9, 2, 5, 5, 0, 7, 5, 2, 8, 0, 3, 2, 7, 0, 5, 7, 6, 9, 6, 8, 8, 7, 3, 5, 0, 1, 7, 8, 0, 6, 0, 6, 1, 5, 6, 4, 0, 4, 2, 9, 6, 7, 0, 4}
Returns: "Impossible"
10
{2, 0, 5, 5, 1, 1, 8, 1, 5, 9, 1, 9, 7, 9, 1, 7, 8, 3, 9, 4, 0, 7, 8, 9, 8, 7, 1, 5, 8, 8, 0, 6, 1, 6, 6, 7, 1, 6, 5, 7, 8, 4, 1, 1, 6, 1, 1, 5, 5, 8}
{0, 6, 7, 8, 8, 7, 6, 4, 1, 5, 5, 4, 1, 6, 6, 1, 7, 0, 8, 5, 2, 8, 6, 8, 5, 1, 7, 8, 7, 7, 3, 5, 8, 9, 8, 4, 8, 4, 8, 4, 9, 7, 4, 4, 7, 7, 8, 1, 7, 1}
Returns: "Impossible"
10
{9, 2, 6, 1, 8, 5, 4, 7, 4, 3, 9, 5, 4, 6, 5, 2, 5, 2, 7, 1, 4, 1, 9, 9, 1, 2, 8, 6, 6, 3, 0, 4, 2, 6, 1, 9, 5, 3, 7, 2, 1, 9, 3, 0, 1, 8, 5, 9, 4, 6}
{1, 9, 3, 6, 0, 4, 1, 0, 1, 9, 4, 3, 9, 3, 4, 7, 1, 7, 0, 4, 3, 4, 4, 3, 4, 8, 0, 9, 3, 4, 2, 6, 7, 4, 5, 1, 9, 4, 0, 0, 9, 3, 1, 2, 3, 2, 9, 4, 5, 9}
Returns: "Impossible"
10
{9, 4, 7, 3, 6, 3, 2, 0, 9, 7, 6, 6, 5, 4, 2, 7, 3, 2, 7, 4, 6, 2, 1, 5, 0, 9, 3, 0, 2, 3, 5, 1, 5, 9, 2, 2, 6, 4, 3, 6, 5, 3, 1, 4, 5, 9, 3, 2, 5, 0}
{4, 2, 4, 2, 7, 6, 0, 3, 1, 4, 5, 2, 4, 0, 3, 5, 7, 3, 0, 7, 0, 4, 8, 4, 5, 8, 6, 5, 3, 4, 0, 9, 6, 8, 7, 0, 0, 3, 6, 0, 2, 4, 9, 6, 6, 8, 6, 7, 0, 3}
Returns: "Impossible"
10
{7, 1, 2, 1, 5, 1, 7, 6, 8, 2, 0, 6, 8, 1, 2, 8, 1, 4, 7, 5, 1, 0, 1, 0, 7, 9, 7, 1, 2, 4, 9, 9, 1, 7, 6, 5, 0, 4, 3, 3, 9, 5, 9, 1, 2, 5, 3, 9, 2, 1}
{1, 0, 4, 7, 6, 7, 3, 8, 5, 3, 1, 5, 5, 2, 7, 9, 0, 8, 2, 9, 3, 2, 3, 2, 1, 8, 2, 3, 3, 9, 4, 4, 7, 0, 5, 4, 7, 9, 2, 7, 8, 4, 5, 7, 7, 9, 7, 4, 3, 2}
Returns: "Impossible"
3
{0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2}
{2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0}
Returns: "Impossible"
7
{0, 4, 1, 0, 5, 5, 6, 2, 6, 3, 2, 4, 0, 0, 0, 1, 5, 5, 1, 0, 0, 6, 2, 5, 0, 5, 2, 0, 0, 2, 5, 0, 4, 6, 2, 5, 6, 2, 2, 2, 6, 4, 5, 6, 5, 2, 4, 6, 4, 4}
{6, 6, 3, 1, 2, 4, 2, 4, 0, 1, 4, 5, 6, 6, 5, 3, 0, 2, 3, 6, 5, 2, 6, 4, 5, 0, 6, 5, 5, 6, 6, 4, 5, 2, 4, 4, 0, 0, 6, 0, 0, 0, 4, 4, 4, 0, 2, 0, 5, 2}
Returns: "Impossible"
4
{2, 1, 3, 0, 0, 2, 1, 2, 3, 3, 2, 3, 0, 1, 2, 0, 0, 0, 0, 3, 1, 2, 3, 2, 0, 0, 1, 2, 3, 3, 1, 0, 1, 1, 3, 0, 1, 0, 2, 2, 2, 2, 2, 0, 3, 1, 3, 0, 0, 3}
{3, 3, 1, 2, 2, 0, 3, 0, 1, 1, 0, 1, 2, 3, 0, 2, 2, 2, 2, 1, 3, 0, 1, 0, 2, 2, 3, 0, 1, 1, 3, 2, 3, 3, 1, 2, 3, 2, 0, 0, 0, 0, 0, 2, 1, 3, 1, 2, 2, 1}
Returns: "Impossible"
9
{8, 2, 6, 7, 0, 6, 2, 5, 1, 0, 7, 8, 5, 7, 1, 2, 0, 6, 7, 6, 5, 8, 5, 2, 5, 2, 6, 5, 5, 0, 6, 3, 2, 6, 0, 2, 6, 6, 6, 8, 1, 7, 6, 4, 8, 4, 2, 1, 1, 8}
{7, 0, 2, 5, 2, 0, 1, 1, 0, 6, 6, 4, 2, 1, 5, 0, 2, 0, 5, 1, 1, 3, 2, 6, 1, 7, 0, 1, 1, 5, 2, 8, 0, 5, 5, 6, 5, 1, 7, 4, 5, 6, 7, 3, 4, 8, 1, 2, 7, 3}
Returns: "Impossible"
9
{3, 4, 4, 8, 8, 2, 3, 1, 0, 1, 0, 0, 8, 2, 7, 8, 5, 5, 8, 1, 7, 7, 8, 1, 3, 1, 7, 5, 6, 6, 3, 6, 0, 8, 1, 7, 7, 6, 3, 2, 8, 3, 5, 0, 1, 5, 3, 6, 8, 8}
{8, 1, 6, 5, 5, 6, 7, 0, 7, 3, 8, 7, 3, 6, 1, 0, 0, 7, 0, 8, 0, 1, 7, 7, 5, 8, 0, 3, 4, 4, 8, 2, 8, 5, 5, 5, 8, 4, 1, 6, 7, 1, 1, 7, 0, 1, 7, 4, 3, 7}
Returns: "Impossible"
9
{2, 0, 2, 4, 4, 7, 3, 3, 2, 6, 6, 0, 6, 8, 6, 3, 2, 2, 4, 3, 0, 7, 4, 2, 8, 2, 4, 6, 0, 3, 3, 4, 6, 2, 7, 8, 8, 4, 0, 0, 8, 6, 5, 7, 4, 7, 4, 8, 0, 6}
{5, 7, 4, 3, 6, 2, 0, 4, 8, 7, 2, 7, 7, 2, 7, 0, 6, 7, 8, 0, 6, 4, 3, 8, 7, 0, 6, 8, 8, 0, 0, 2, 0, 0, 4, 0, 6, 6, 4, 7, 6, 3, 1, 4, 2, 4, 6, 6, 7, 3}
Returns: "Impossible"
8
{0, 7, 0, 1, 3, 6, 7, 5, 6, 1, 0, 5, 2, 3, 0, 6, 5, 2, 7, 1, 1, 3, 2, 5, 0, 6, 2, 5, 5, 2, 6, 7, 2, 6, 2, 1, 1, 7, 2, 1, 7, 6, 2, 6, 6, 6, 0, 3, 1, 1}
{3, 5, 6, 6, 4, 2, 1, 2, 1, 2, 7, 6, 7, 4, 1, 0, 2, 7, 5, 0, 5, 4, 1, 2, 5, 5, 0, 7, 7, 6, 1, 5, 7, 7, 0, 5, 2, 1, 0, 5, 2, 1, 6, 2, 7, 2, 5, 4, 6, 6}
Returns: "Impossible"
5
{4, 0, 4, 1, 4, 0, 1, 4, 2, 1, 4, 4, 4, 2, 4, 0, 1, 4, 0, 0, 1, 0, 1, 2, 4, 1, 0, 4, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 4, 2, 0, 1}
{1, 4, 2, 3, 2, 4, 2, 2, 4, 4, 2, 2, 0, 4, 2, 2, 4, 1, 4, 2, 0, 4, 2, 4, 0, 0, 1, 1, 4, 2, 4, 4, 4, 4, 4, 4, 1, 1, 0, 1, 2, 0, 0, 1, 4, 4, 0, 0, 1, 0}
Returns: "Impossible"
2
{1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0}
{0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1}
Returns: "Possible"
4
{1, 2, 2, 0, 3, 0, 2, 3, 0, 2, 2, 3, 3, 0, 0, 0, 3, 2, 3, 3, 3, 0, 2, 3, 3, 0, 3, 2, 2, 0, 2, 0, 3, 0, 2, 0, 2, 3, 2, 2, 2, 2, 3, 0, 2, 2, 3, 2, 0, 2}
{2, 3, 3, 3, 2, 3, 3, 2, 2, 0, 0, 2, 2, 3, 3, 3, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 3, 3, 2, 3, 2, 0, 3, 0, 2, 3, 2, 3, 0, 0, 0, 2, 3, 3, 3, 0, 3, 2, 3}
Returns: "Impossible"
4
{3, 2, 1, 2, 1, 0, 0, 1, 3, 1, 1, 2, 0, 1, 3, 2, 2, 3, 0, 2, 1, 0, 0, 0, 3, 3, 0, 0, 1, 0, 0, 1, 3, 3, 0, 0, 1, 0, 2, 0, 3, 2, 0, 3, 3, 2, 0, 3, 1, 2}
{1, 1, 2, 1, 2, 3, 3, 2, 0, 2, 2, 1, 3, 2, 0, 1, 1, 0, 3, 1, 2, 3, 3, 3, 0, 0, 3, 3, 2, 3, 3, 2, 0, 0, 3, 3, 2, 3, 1, 3, 0, 1, 3, 0, 0, 1, 3, 0, 2, 1}
Returns: "Impossible"
10
{0, 1, 6, 9, 5, 8, 2, 3, 5, 2, 2, 6, 7, 6, 4, 3, 7, 1, 1, 0, 3, 7, 4, 9, 2, 0, 3, 3, 8, 0, 9, 7, 8, 0, 2, 9, 5, 2, 5, 7, 2, 3, 1, 0, 3, 8, 2, 3, 1, 0}
{3, 3, 9, 5, 0, 1, 8, 7, 0, 3, 1, 0, 4, 0, 3, 1, 1, 8, 4, 6, 2, 8, 3, 5, 1, 6, 2, 8, 4, 9, 0, 4, 7, 6, 4, 0, 0, 1, 6, 1, 7, 4, 7, 5, 4, 7, 7, 8, 2, 9}
Returns: "Impossible"
10
{5, 6, 6, 1, 1, 5, 8, 8, 2, 4, 7, 0, 7, 7, 1, 4, 5, 7, 1, 8, 8, 7, 3, 5, 7, 2, 9, 9, 1, 8, 2, 3, 8, 5, 9, 2, 8, 4, 8, 7, 2, 3, 2, 4, 8, 8, 7, 5, 1, 4}
{3, 9, 5, 8, 8, 0, 1, 1, 4, 1, 8, 6, 1, 3, 8, 1, 9, 1, 8, 7, 2, 1, 7, 6, 1, 8, 6, 0, 7, 7, 7, 1, 2, 9, 0, 1, 3, 1, 1, 4, 4, 7, 3, 3, 4, 1, 4, 6, 8, 3}
Returns: "Impossible"
4
{2, 3, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 3, 1, 2, 2, 3, 3, 1, 1, 2, 1, 3, 3, 2, 2, 3, 3, 1, 1, 3, 1, 1, 3, 1, 2, 1, 3, 3, 1, 2}
{1, 0, 1, 1, 2, 2, 3, 1, 3, 3, 1, 2, 1, 3, 3, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 1, 1, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 3}
Returns: "Impossible"
9
{2, 5, 6, 0, 5, 4, 7, 8, 0, 2, 7, 8, 5, 7, 8, 4, 5, 1, 4, 0, 4, 0, 7, 2, 4, 8, 7, 8, 2, 6, 8, 2, 7, 5, 5, 0, 0, 5, 8, 8, 3, 4, 2, 1, 1, 3, 7, 4, 6, 3}
{5, 7, 3, 7, 1, 2, 0, 2, 5, 4, 0, 6, 7, 1, 2, 6, 7, 7, 6, 5, 3, 1, 5, 4, 8, 3, 0, 3, 8, 2, 6, 8, 0, 7, 1, 1, 7, 0, 3, 2, 6, 2, 3, 7, 5, 2, 1, 2, 8, 2}
Returns: "Impossible"
7
{6, 3, 5, 6, 0, 6, 6, 6, 2, 0, 2, 1, 4, 3, 6, 6, 2, 1, 2, 1, 1, 6, 3, 0, 1, 6, 2, 3, 6, 0, 3, 6, 1, 2, 2, 0, 2, 6, 1, 2, 2, 6, 3, 0, 4, 5, 6, 6, 3, 0}
{3, 4, 4, 0, 6, 2, 3, 0, 6, 3, 0, 6, 5, 6, 2, 3, 0, 6, 1, 3, 0, 2, 6, 1, 3, 1, 3, 0, 0, 3, 2, 0, 0, 6, 3, 1, 0, 1, 6, 6, 1, 3, 6, 2, 5, 4, 0, 3, 1, 6}
Returns: "Impossible"
10
{0, 0, 9, 3, 8, 8, 0, 6, 5, 8, 4, 1, 8, 6, 7, 7, 6, 3, 1, 9, 2, 7, 7, 2, 9, 0, 7, 1, 1, 6, 7, 8, 9, 8, 3, 1, 9, 9, 3, 8, 6, 6, 0, 6, 2, 8, 2, 8, 6, 0}
{4, 8, 7, 5, 7, 7, 7, 9, 3, 6, 5, 8, 0, 1, 6, 1, 2, 4, 0, 1, 1, 1, 8, 7, 7, 6, 8, 8, 9, 0, 9, 2, 0, 7, 4, 2, 2, 8, 5, 7, 7, 0, 2, 0, 7, 7, 8, 9, 2, 2}
Returns: "Impossible"
4
{0, 1, 3, 2, 1, 3, 3, 3, 3, 2, 1, 3, 2, 2, 1, 2, 3, 1, 1, 3, 3, 1, 1, 2, 1, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 1, 3, 3, 3, 3, 1, 3, 1, 3, 1, 2, 2, 3, 2, 3}
{2, 2, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 1, 3, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 1, 1, 1}
Returns: "Impossible"
9
{6, 4, 0, 7, 8, 5, 8, 4, 0, 2, 5, 0, 5, 5, 4, 0, 2, 6, 5, 2, 1, 5, 4, 3, 5, 2, 6, 2, 1, 5, 1, 5, 0, 7, 1, 7, 6, 7, 1, 4, 7, 5, 6, 6, 1, 8, 4, 3, 6, 8}
{2, 0, 5, 1, 3, 2, 7, 5, 5, 1, 1, 1, 4, 6, 2, 6, 5, 0, 4, 5, 4, 2, 5, 8, 6, 6, 2, 6, 0, 2, 6, 0, 5, 8, 2, 8, 1, 8, 2, 2, 3, 4, 5, 5, 2, 3, 5, 7, 1, 7}
Returns: "Impossible"
4
{0, 1, 2, 3, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 3, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 3, 3, 2, 2, 2, 0, 1, 3, 0, 2, 0, 0, 1}
{1, 3, 0, 1, 2, 3, 2, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 2, 0, 2, 2, 3, 1, 0, 0, 3, 2, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 2, 3, 1, 2, 0, 2, 2, 3}
Returns: "Impossible"
4
{1,0,3,1,2,1,1,0}
{0,1,1,0,3,2,0,1}
Returns: "Impossible"
5
{1,4,2,2,4,3,2,2,2,2}
{2,3,0,1,1,0,4,4,4,1}
Returns: "Impossible"
10
{5,4,1,8,4,1,1,2,2,5,0,4,4,8,8,3,8,4,0,7}
{7,8,9,5,2,2,5,5,9,1,6,5,6,5,7,2,3,1,8,5}
Returns: "Impossible"
10
{0,5,4,1,4,3,8,8,7,9,8,6,0,1,4,5,3,4,7,0,4,0}
{3,6,5,4,8,4,0,3,3,2,4,2,7,0,1,3,8,8,9,7,2,8}
Returns: "Impossible"
9
{0, 0, 1, 1, 0, 0, 3, 3, 4, 4, 3, 3, 6, 6, 7, 7, 6, 6, 0, 1, 5 }
{1, 1, 2, 2, 2, 2, 4, 4, 5, 5, 5, 5, 7, 7, 8, 8, 8, 8, 3, 7, 8 }
Returns: "Impossible"
4
{0, 0, 2, 1, 1, 1 }
{1, 3, 3, 2, 2, 2 }
Returns: "Impossible"
5
{0, 1, 2, 2, 2, 3, 3 }
{1, 2, 0, 3, 3, 4, 4 }
Returns: "Impossible"
10
{1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 3, 4, 5, 6, 4, 5, 6, 5, 6, 6, 7, 8, 7, 8 }
{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 9, 9 }
Returns: "Impossible"
4
{0, 0, 1, 2, 2, 2 }
{1, 2, 3, 3, 3, 3 }
Returns: "Impossible"
10
{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 }
{1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 6, 7, 8, 7, 8, 8, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7 }
Returns: "Impossible"
3
{0, 1, 2 }
{1, 2, 0 }
Returns: "Impossible"
8
{0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5 }
{1, 2, 3, 4, 6, 2, 3, 4, 3, 4, 4, 5, 7, 6, 7 }
Returns: "Impossible"
10
{0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 6, 7, 8, 7, 8, 8, 2, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }
Returns: "Impossible"
5
{1, 2, 3, 4, 0 }
{0, 1, 2, 3, 4 }
Returns: "Impossible"
6
{3, 3, 1, 4, 4, 2, 1, 3, 0, 0 }
{5, 4, 2, 5, 5, 4, 2, 5, 4, 1 }
Returns: "Impossible"
8
{2, 6, 3, 7, 2, 2, 2, 7, 2, 0, 0, 0, 4, 5, 6, 1, 1, 1, 0 }
{0, 2, 2, 2, 1, 3, 3, 3, 0, 1, 6, 7, 1, 4, 2, 0, 5, 3, 3 }
Returns: "Impossible"
3
{0, 0, 1 }
{1, 2, 2 }
Returns: "Impossible"
6
{0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5 }
{1, 2, 0, 4, 5, 3, 1, 2, 0, 4, 5, 3 }
Returns: "Impossible"
10
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 6, 7, 7, 8 }
{1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 5, 6, 7, 8, 9, 6, 7, 8, 9, 7, 8, 9, 8, 9, 9, 5, 6, 7, 8, 9, 6, 7, 8, 9, 7, 8, 9, 8, 9, 9, 9, 8, 9, 9 }
Returns: "Impossible"
4
{0, 0, 2, 2 }
{1, 1, 3, 3 }
Returns: "Impossible"
3
{1, 1 }
{2, 2 }
Returns: "Impossible"
4
{0, 1, 2, 3 }
{1, 2, 3, 0 }
Returns: "Impossible"
4
{0, 0, 1, 1, 1, 1 }
{1, 1, 2, 2, 3, 3 }
Returns: "Possible"
4
{2, 1, 0, 3, 3 }
{1, 2, 1, 1, 0 }
Returns: "Impossible"
6
{0, 0, 1, 1, 2, 3, 3, 4 }
{1, 2, 2, 3, 4, 4, 5, 5 }
Returns: "Impossible"
6
{0, 0, 0, 0, 0, 0, 1, 1, 1, 1 }
{1, 1, 2, 3, 4, 5, 2, 3, 4, 5 }
Returns: "Possible"
10
{0, 0, 0, 1, 1, 2, 0, 0, 0, 4, 4, 5, 6, 6, 6, 7, 7, 8 }
{1, 2, 3, 2, 3, 3, 4, 5, 6, 5, 6, 6, 7, 8, 9, 8, 9, 9 }
Returns: "Possible"
10
{0, 8, 4, 3, 0, 2, 1, 0, 3, 7, 2, 5, 7, 2, 5, 1, 8, 5, 5, 0, 1, 4, 8, 4, 8, 4, 7, 2, 0, 2, 5, 4, 4, 1, 0, 5, 1, 7, 7, 8, 9, 5, 2, 4, 8, 7, 1 }
{5, 0, 5, 9, 7, 8, 2, 2, 6, 5, 1, 6, 1, 5, 0, 5, 1, 4, 1, 4, 8, 0, 2, 3, 7, 7, 2, 0, 8, 4, 8, 1, 2, 7, 1, 7, 0, 4, 8, 5, 6, 2, 7, 8, 4, 0, 4 }
Returns: "Impossible"
5
{0, 0, 0, 0, 1, 1, 3, 3 }
{1, 1, 2, 2, 2, 2, 4, 4 }
Returns: "Impossible"
6
{0, 1, 0, 3, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }
{1, 2, 2, 4, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 }
Returns: "Impossible"
5
{0, 0, 0, 0, 0, 0, 1, 3 }
{1, 1, 2, 2, 3, 4, 2, 4 }
Returns: "Impossible"
4
{0, 0, 0, 0, 1, 1, 1 }
{1, 3, 3, 3, 2, 2, 2 }
Returns: "Impossible"
4
{0, 1, 2, 3, 3, 3 }
{1, 2, 3, 0, 0, 1 }
Returns: "Possible"
4
{0, 1, 2, 0, 1, 2 }
{3, 2, 3, 3, 2, 3 }
Returns: "Possible"
4
{0, 0, 0, 0, 0, 0 }
{1, 2, 3, 1, 2, 3 }
Returns: "Possible"
10
{0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 0, 6, 6, 7, 7, 8, 8, 1, 5, 7 }
{1, 1, 2, 2, 0, 0, 4, 4, 5, 5, 3, 3, 3, 7, 7, 8, 8, 6, 6, 9, 6, 9 }
Returns: "Impossible"
10
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4 }
{2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, 3, 4, 5, 6, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5 }
Returns: "Impossible"
6
{0, 1, 1, 2, 3, 3, 4, 5, 5, 5, 5, 5, 5, 5 }
{1, 2, 2, 3, 4, 4, 5, 0, 0, 0, 0, 0, 0, 0 }
Returns: "Impossible"
2
{0, 0 }
{1, 1 }
Returns: "Possible"
2
{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
Returns: "Possible"
8
{0, 1, 2, 3, 4, 5, 6, 0, 3, 6, 1, 4, 7, 2 }
{1, 2, 3, 4, 5, 6, 7, 3, 6, 1, 4, 7, 2, 5 }
Returns: "Possible"
4
{0, 0, 0, 1, 1, 2 }
{1, 2, 3, 2, 2, 3 }
Returns: "Possible"
10
{1, 6, 9, 8, 6, 2, 6, 0, 5, 3, 0, 9, 3, 7, 5, 2, 0, 8 }
{4, 8, 4, 5, 4, 4, 5, 8, 1, 0, 2, 2, 7, 2, 7, 3, 4, 1 }
Returns: "Possible"
10
{0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }
Returns: "Possible"
6
{0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5 }
{1, 1, 2, 2, 0, 0, 3, 4, 4, 5, 5, 3, 3 }
Returns: "Impossible"
6
{0, 1, 2, 3, 4, 5 }
{1, 2, 3, 4, 5, 0 }
Returns: "Impossible"
10
{0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 0, 0, 1, 2, 3, 4, 5, 6, 7 }
{1, 2, 3, 4, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 4, 5, 6, 7, 5, 6, 7, 6, 7, 7, 9, 8, 8, 8, 8, 8, 8, 8, 8 }
Returns: "Impossible"
8
{0, 1, 2, 3, 4, 5, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0 }
{1, 2, 0, 4, 5, 3, 6, 6, 7, 7, 6, 6, 7, 7, 3, 3 }
Returns: "Impossible"
5
{0, 0, 0, 1, 1, 2, 1, 0 }
{1, 2, 3, 4, 3, 3, 2, 4 }
Returns: "Possible"
10
{0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 0 }
{1, 2, 3, 4, 2, 3, 4, 3, 4, 4, 6, 7, 8, 9, 7, 8, 9, 8, 9, 9, 9 }
Returns: "Impossible"