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Output:
3
IMPOSSIBLE
1
1
2
3
3
1
1
2
2
1
2
1
2
1
1
2
3
1
1
2
6
8
4
4
1
1
1
10
5
4
1
1
1
6
4
1
2
1
1
2
7
5
4
1
1
3
1
4
2
2
3
3
1
1
4
1
1
4
8
7
4
2
3
3
1
8
1
1
2
1
6
1
6
1
8
3
2
1
IMPOSSIBLE
1
1
1
2
1
1
1
1
1
3
3
1
2
1
2
3
2
1
1
1
2
1
3
1
3
1
5
5
2
2
3
3
2
3
2
1
1
3
1
4
1
1
5
2
1
7
2
4
6
1
4
1
2
6
5
1
3
1
6
1
5
2
3
18
1
2
1
1
4
1
1
IMPOSSIBLE
2
1
2
1
4
1
1
8
1
1
2
1
3
1
3
1
5
2
8
1
1
1
1
1
2
1
4
2
2
1
2
1
2
6
1
2
3
4
1
1
2
2
1
2
1
1
1
1
1
1
1
2
9
1
6
1
1
6
4
1
IMPOSSIBLE
1
1
7
10
2
6
9
1
1
2
7
2
1
1
1
1
4
15
1
7
2
4
2
1
2
4
1
1
3
1
4
2
1
1
1
1
2
1
1
1
1
1
2
5
1
1
4
8
3
5
1
4
3
1
7
1
5
6
1
1
IMPOSSIBLE
2
3
1
2
5
1
1
2
1
1
1
4
1
1
6
1
2
1
3
4
1
1
2
3
1
3
1
1
9
1
1
2
2
1
1
2
1
8
6
2
1
1
8
3
9
1
3
11
1
1
1
5
5
5
1
2
4
2
4
2
1
3
3
10
3
4
5
1
1
7
1
3
1
1
3
3
4
1
1
1
1
2
2
2
2
2
1
1
1
1
12
3
1
1
1
7
1
6
1
3
2
5
1
1
IMPOSSIBLE
2
7
3
8
1
1
7
1
7
1
1
1
1
2
5
4
1
1
3
4
1
1
4
2
2
1
1
6
2
1
7
2
5
1
6
2
1
1
4
1
7
3
2
2
1
9
3
1
1
1
2
5
1
1
1
4
2
4
1
9
1
5
3
1
1
1
1
5
2
6
2
1
1
4
1
2
1
4
2
5
1
2
1
2
2
1
1
3
2
1
1
3
3
1
3
1
1
1
1
3
1
1
2
1
1
9
4
1
1
1
2
1
1
6
2
1
4
2
4
1
1
3
4
1
2
1
1
1
5
1
1
3
2
5
2
2
IMPOSSIBLE
4
6
1
1
1
8
8
17
1
3
1
1
2
6
5
1
1
1
1
2
1
9
6
1
1
1
3
1
5
3
2
3
3
1
3
6
1
2
1
1
2
1
1
1
1
1
1
1
IMPOSSIBLE
3
1
6
1
12
2
6
1
2
2
3
3
1
1
1
3
1
1
1
7
1
2
1
9
1
1
3
1
3
2
2
2
1
2
1
1
2
2
1
1
2
1
1
6
1
2
1
3
2
3
1
3
4
1
2
1
3
2
5
1
1
1
6
3
7
7
1
1
6
1
1
1
7
1
1
5
1
1
1
2
3
4
3
4
2
1
1
2
1
3
5
2
1
2
2
7
6
1
1
5
3
3