1
1
1
1
1
2
1
2
9
6
14
1
1
8
1
24
1
1
1
2
1
2
6
2
1
1
1
2
1
2
1
1
9
5
1
3
1
2
1
1
2
1
1
1
8
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
33
1
1
1
1
1
1
1
1
2
1
2
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
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
6
1
1
1
35
1
1
1
1
6
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
1
1
6
3
1
13
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
5
1
5
1
1
1
4
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
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
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
5
1
1
6
5
1
3
3
1
3
1
1
1
2
7
1
1
1
2
1
1
1
24
1
2
1
2
3
1
1
1
1
2
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
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
1
1
1
1
1
1
1
1
1
1
13
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
12
2
1
3
1
4
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
2
5
5
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
1
1
1
2
1
1
2
1
1
1
1
2
1
1
46
5
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
2
1
1
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
3
1
10
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
2
5
1
1
1
1
12
1
1
1
19
1
1
5
1
3
1
4
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
53
1
10
4
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
9
1
1
1
1
65
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
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
3
1
1
1
1
1
1
3
3
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
4
1
1
1
3
1
1
1
4
1
1
5
2
1
1
3
1
2
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
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
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
4
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
2
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
2
1
11
1
1
1
1
1
3
2
3
3
4
1
2
1
1
1
1
1
1
6
1
1
1
1
1
100
1
6
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
3
1
1
1
2
1
1
1
2
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
3
1
1
5
13
1
3
1
2
4
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
3
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
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
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
2
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
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
3
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
5
1
1
1
1
5
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
1
1
1
1
1
1
1
1
3
66
1
1
1
1
1
1
2
1
1
1
2
2
1
6
2
1
4
1
4
2
2
1
2
18
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
62
2
1
1
3
4
29
4
1
4
1
1
2
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
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
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
2
1
1
1
1
3
1
3
1
1
1
1
1
5
2
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
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
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
22
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
16
2
5
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
2
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
7
4
1
1
1
3
1
1
1
1
4
7
1
1
1
1
10
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
31
32
1
1
1
1
1
1
1
1
1
1
1
3
1
4
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
1
1
2
1
1
5
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
24
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
8
1
1
1
2
1
1
1
1
1
1
1
1
2
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
2
1
2
1
1
2
3
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
9
4
1
1
1
1
1
1
1
1
38
1
1
1
1
1
1
1
7
1
1
13
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
12
1
1
2
3
1
1
1
1
1
1
1
3
1
1
2
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
2
3
3
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
44
10
82
5
6
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
6
1
1
5
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
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
2
1
1
2
25
7
6
1
2
1
1
1
1
2
11
1
1
1
1
1
1
1
1
1
6
13
48
1
1
5
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
2
1
1
1
1
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
1
1
2
2
1
3
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
8
1
1
1
2
74
1
1
1
3
1
3
3
1
22
100
3
1
3
1
1
5
16
1
1
1
2
28
1
1
1
1
1
5
2
17
1
1
1
1
1
1
1
1
2
1
1
1
107
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
2
1
1
1
6
9
1
1
2
1
1
3
3
12
2
1
1
1
1
1
1
38
1
32
15
1
1
1
66
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
1
1
12
1
1
15
1
1
1
1
1
1
1
3
2
1
14
3
2
7
1
1
23
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
481
6
1
1
1
