2
1
1
1
6
1
2
4
22
1
1
2
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
12
1
4
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
22
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
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
3
1
4
1
15
1
24
3
1
11
1
6
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
6
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
11
1
6
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
28
1
1
1
1
1
1
1
4
2
1
2
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
3
2
3
3
1
2
2
1
1
1
1
1
3
2
2
1
1
6
1
3
1
1
2
6
1
7
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
4
24
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
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
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
8
1
1
1
2
1
1
1
1
2
14
1
4
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
3
8
3
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
1
1
23
5
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
9
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
5
1
1
1
1
3
1
42
1
3
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
16
1
1
1
1
1
12
2
1
1
7
1
3
1
1
1
1
1
1
1
3
1
1
43
2
1
10
1
4
1
1
1
2
1
1
12
1
1
1
1
1
1
1
1
1
1
6
1
1
1
27
38
2
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
4
2
2
1
2
1
1
1
1
3
3
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
5
3
1
1
1
1
1
3
8
4
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
17
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
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
2
2
2
1
1
1
1
5
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
141
3
1
6
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
1
1
5
6
1
6
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
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
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
2
1
1
2
1
1
1
1
5
2
1
1
1
1
1
1
1
1
3
6
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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
5
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
1
1
2
1
1
1
1
1
1
2
1
1
2
3
3
1
3
4
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
8
2
2
1
1
1
1
1
1
1
1
4
8
5
1
1
1
1
1
1
1
1
1
1
1
3
7
18
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
1
1
1
1
1
1
2
1
8
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
9
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
2
1
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
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
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
15
5
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
2
1
1
1
1
4
2
1
4
1
12
5
1
1
2
2
1
11
1
1
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
74
14
9
6
1
1
1
1
1
1
2
1
3
3
7
1
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
10
1
1
1
1
1
6
1
4
1
1
1
1
2
7
1
1
1
1
1
1
2
1
1
1
1
7
13
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
16
2
1
1
1
1
2
10
2
23
2
1
1
1
1
1
1
3
11
1
4
2
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
3
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
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
4
1
2
1
28
1
1
1
1
1
1
3
7
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
13
1
8
1
2
1
6
2
1
1
1
2
1
1
2
1
1
1
1
1
2
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
8
1
2
2
1
1
1
1
2
6
2
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
14
5
8
6
1
59
22
8
1
1
1
2
1
1
3
1
1
1
1
1
1
1
15
3
2
2
3
2
11
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
1
15
1
5
7
1
1
1
1
1
1
3
8
6
1
1
3
1
1
3
4
23
49
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
22
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
14
4
23
1
1
3
1
1
2
1
1
1
2
1
1
2
1
4
5
3
1
1
1
17
1
41
1
1
1
3
1
1
1
1
1
1
2
56
14
6
3
2
1
1
2
19
1
1
1
53
3
1
12
2
9
1
1
1
1
4
1
94
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
7
2
1
1
1
1
1
1
1
64
53
1
1
1
2
1
1
1
1
1
22
1
1
1
1
1
2
6
1
18
2
2
1
4
1
2
1
59
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
1
2
1
8
1
1
19
2
2
1
1
1
1
1
5
2
5
2
2
2
2
2
7
1
1
1
2
1
1
11
21
1
1
1
1
1
1
1
1
1
1
1
1
235
45
11
1
1
2
1
1
