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2
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1
1
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0
2
1
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1
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1
1
1
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1
0
2
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1
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0
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0
2
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0
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0
0
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0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
2
1
1
3
1
0
0
0
0
1
1
1
1
0
0
0
2
0
1
0
2
1
2
0
0
0
0
1
0
2
2
0
1
0
1
1
0
2
0
1
1
1
1
1
1
2
1
4
0
3
2
0
1
1
2
3
1
2
5
3
2
6
3
2
4
6
4
4
3
5
3
9
3
5
4
2
7
10
11
5
7
11
10
8
9
9
4
7
15
13
13
14
11
11
11
8
11
9
7
8
8
11
6
13
16
16
12
10
16
15
17
13
16
17
12
16
13
11
20
8
11
15
14
10
21
7
12
20
17
13
15
19
11
11
9
9
7
10
6
7
7
8
5
11
6
5
2
5
0
4
2
6
4
1
3
1
1
2
2
1
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
3
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
2
1
0
1
0
1
0
0
0
1
1
0
1
0
1
0
2
0
0
0
1
0
1
0
0
0
0
2
0
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1
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0
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1
0
0
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1
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1
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0
0
0
0
0
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0
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0
1
0
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0
0
0
0
0
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0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
1
0
0
0
0
2
0
0
3
0
2
4
1
1
0
0
1
0
0
1
2
1
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
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1
0
0
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0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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0
0
0
0
0
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0
0
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0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
2
0
0
1
0
0
1
1
0
1
0
0
0
0
1
1
0
3
1
1
0
2
0
0
0
0
0
1
0
0
2
0
1
1
0
0
1
1
0
1
0
1
0
0
2
0
1
1
0
1
0
0
0
1
1
1
1
0
1
1
0
1
0
4
0
2
0
1
2
2
0
1
0
1
1
2
1
2
1
0
4
0
2
3
0
2
4
0
1
3
2
4
3
1
3
0
1
1
3
4
3
1
1
0
2
1
1
4
4
0
0
3
2
2
1
4
2
1
6
0
1
1
2
1
3
1
0
3
0
0
1
0
0
1
0
0
3
0
1
1
0
0
3
0
1
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
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0
0
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0
0
0
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0
0
0
0
0
0
0
1
0
0
0
0
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0
0
0
0
0
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0
0
0
0
0
0
0
1
0
0
0
0
0
0
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0
0
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0
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0
0
0
0
0
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0
0
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0
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0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
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0
0
0
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0
0
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1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
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0
0
0
0
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0
0
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0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
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0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
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0
1
0
0
0
0
0
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0
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1
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1
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1
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1
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1
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1
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1
1
0
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1
1
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0
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0
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0
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1
1
0
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1
1
0
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1
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1
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1
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1
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0
0
0
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0
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1
0
0
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0
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0
1
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0
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0
0
0
1
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1
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0
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1
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1
0
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1
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1
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1
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2
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1
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0
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0
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1
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0
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0
0
0
2
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1
0
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1
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0
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0
1
1
1
0
1
0
0
0
0
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1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
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0
1
0
0
0
0
1
0
1
2
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
1
0
0
1
0
1
0
0
0
0
2
0
1
0
0
1
1
1
1
1
0
1
2
1
0
0
3
0
0
1
0
0
0
1
1
1
1
0
1
0
1
0
0
0
2
1
1
1
1
0
0
0
2
1
0
0
1
1
2
0
0
0
0
1
1
1
0
2
0
1
3
0
1
0
1
1
1
1
5
1
0
2
3
1
2
3
1
0
0
2
0
1
1
0
0
0
3
0
3
2
2
1
0
2
1
2
2
3
2
5
3
0
1
3
1
2
0
1
3
1
1
3
1
2
1
4
2
3
4
4
1
0
6
4
3
5
2
2
3
2
2
2
3
2
3
5
7
6
6
4
9
4
0
3
6
4
6
6
3
3
4
7
1
8
5
2
9
9
2
4
7
10
3
9
6
3
7
2
5
9
11
6
10
5
4
9
5
7
10
9
2
9
5
6
9
3
8
10
5
14
9
3
14
6
12
9
14
9
11
13
8
17
17
9
13
12
11
19
14
17
11
15
15
14
22
16
22
20
22
18
33
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