1
1
1
1
6
1
3
1
5
1
1
1
1
2
1
1
5
1
2
1
5
1
1
1
2
1
1
1
1
1
12
1
1
1
1
1
1
2
2
1
1
1
1
1
5
1
1
1
2
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
1
2
2
1
1
1
1
2
1
2
1
1
1
7
1
1
1
1
2
5
1
1
1
1
1
1
2
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
5
4
3
1
4
1
3
3
2
1
1
1
1
1
1
5
2
1
3
1
3
1
1
1
2
12
1
3
1
1
1
1
4
1
1
1
2
1
1
3
1
2
1
1
1
5
1
1
1
4
1
1
1
1
1
1
3
2
3
1
3
1
2
1
1
1
2
1
1
2
1
1
7
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
2
2
4
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
4
9
1
1
3
5
1
1
5
1
1
2
1
1
1
2
1
3
1
4
1
1
1
1
1
1
1
2
1
4
2
1
1
1
2
1
6
1
3
1
4
2
1
2
1
9
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
2
4
1
1
1
1
27
1
1
1
1
1
2
3
2
1
1
1
1
2
1
1
2
2
1
1
2
1
2
1
1
4
1
2
10
1
1
1
5
1
1
3
72
1
1
2
1
5
1
3
1
1
3
1
1
11
1
1
1
1
7
1
1
2
1
1
2
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
11
5
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
2
2
1
1
1
1
1
4
1
1
1
2
1
2
11
1
1
1
2
1
1
1
3
2
1
2
4
2
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
17
1
2
1
3
1
1
5
2
1
7
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
2
1
3
2
1
1
1
1
1
1
3
6
3
2
1
1
3
1
1
1
2
2
1
1
3
1
3
1
2
1
1
1
1
4
1
1
1
1
2
1
2
1
2
1
8
1
1
1
1
1
2
1
1
5
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
4
2
1
3
1
1
1
2
2
4
1
1
1
2
1
1
4
1
2
1
1
4
2
1
1
1
3
1
2
1
1
1
1
1
1
1
1
9
2
7
5
4
6
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
2
1
1
8
1
2
1
1
1
2
1
1
1
3
1
1
2
1
4
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
2
3
1
1
5
1
1
5
1
1
3
1
1
1
11
5
1
1
1
1
2
1
7
1
1
1
1
1
1
1
51
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
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
10
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
6
1
1
1
1
1
14
1
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
14
1
2
2
3
1
1
1
3
13
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
2
1
1
1
1
1
1
37
1
1
16
1
1
1
1
1
2
1
1
1
1
1
1
2
3
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
1
19
1
1
1
10
2
1
1
1
1
1
1
3
11
1
1
1
1
1
1
1
1
2
4
2
4
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
6
2
1
16
1
1
3
1
3
3
1
2
1
6
2
1
2
1
1
1
2
1
1
2
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
16
1
1
5
1
1
2
1
1
1
1
7
5
1
1
1
1
5
3
1
1
1
1
1
3
4
3
5
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
2
5
1
1
6
2
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
3
1
6
2
9
3
1
2
4
1
1
1
6
4
34
1
1
1
1
1
2
1
2
1
5
1
3
2
1
1
1
1
1
1
1
1
1
3
8
31
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
8
2
1
1
3
1
1
2
10
4
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
2
1
54
1
1
2
1
1
1
2
1
1
2
1
3
4
1
1
1
3
1
1
1
1
1
2
3
1
2
1
1
1
1
9
1
3
1
1
1
4
1
2
1
1
5
1
2
1
1
1
3
1
1
2
1
1
1
2
2
1
1
2
2
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
2
1
1
4
1
4
2
1
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
1
1
2
2
1
1
2
1
4
1
1
1
1
1
1
6
2
1
2
1
2
1
1
1
2
1
2
1
2
3
1
2
1
1
18
1
1
3
34
1
1
1
4
1
1
3
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
5
1
2
1
1
1
3
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
59
3
2
5
2
1
5
1
12
3
3
6
2
1
3004
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
5
1
1
2
1
2
3
1
3
1
1
1
1
2
2
1
4
1
43
2
1
3
1
1
1
1
1
1
1
14
2
1
1
2
3
2
2
4
1
3
6
2
12
1
1
4
1
1
1
2
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
46
5
4
1
1
1
1
1
1
2
1
1
1
1
138
3
1
2
1
1
2
1
1
1
1
1
1
1
6
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
2
7
1
3
2
1
1
3
1
3
1
2
2
1
1
2
1
1
1
1
1
1
1
27
4
1
3
1
1
5
1
1
1
2
1
1
1
1
2
1
10
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
4
1
1
1
1
7
1
1
5
9
1
1
3
1
1
1
1
1
5
1
2
1
1
2
1
1
1
1
4
1
1
2
1
1
1
4
1
7
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
2
1
3
1
1
5
1
2
1
2
1
1
1
3
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
4
1
1
2
1
2
1
2
1
4
1
1
2
1
2
1
21
2
4
1
1
1
6
1
1
1
1
1
1
1
4
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
3
1
4
1
2
1
1
2
1
1
1
1
4
1
1
10
1
6
7
2
1
1
1
7
1
6
1
6
1
1
2
2
1
2
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
3
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
4
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
1
2
1
1
1
1
2
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
5
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
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
73
1
1
2
1
1
1
1
1
1
1
1
1
2
2
2
2
1
2
1
1
2
5
3
4
2
1
2
1
1
1
1
1
3
1
1
1
2
1
2
1
1
2
2
1
1
1
1
1
1
1
8
1
2
2
1
7
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
3
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
369
1
1
1
2
3
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
4
1
1
1
1
1
4
2
7
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
2
2
1
1
2
1
6
2
1
7
1
12
1
13
1
2
1
1
1
2
1
1
2
2
1
1
1
1
3
1
2
1
1
1
3
1
2
1
1
1
3
4
3
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
2
1
1
3
6
8
3
1
3
2
10
3
3
2
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
14
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
2
1
1
1
2
3
1
2
1
4
1
3
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
3
1
9
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
4
3
1
7
1
2
2
1
3
1
1
2
4
1
1
1
53
1
1
1
16
2
1
1
1
1
2
1
2
1
1
4
1
4
4
1
5
1
1
1
1
1
1
1
1
1
1
11
1
2
1
2
1
2
2
1
2
3
1
4
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
5
1
1
1
1
3
1
1
1
2
1
2
2
1
1
1
1
1
4
2
4
5
7
1
1
2
8
7
1
3
1
1
4
1
5
3
1
3
5
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
17
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
5
1
1
1
1
1
2
1
2
1
3
1
3
1
1
2
2
1
1
1
1
1
1
1
5
2
1
1
1
2
3
1
1
1
1
3
1
2
2
1
1
1
8
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
4
1
2
3
1
1
2
4
2
3
1
1
1
1
1
1
1
10
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
3
5
2
1
1
1
1
1
1
1
1
4
1
4
1
2
1
1
1
1
3
1
1
1
1
17
20
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
5
2
2
1
1
1
13
3
4
1
1
1
2
2
2
1
1
1
2
7
3
3
7
9
1
3
1
1
1
4
1
1
2
2
3
2
1
1
1
20
1
1
1
1
1
1
1
1
1
6
14
2
1
1
1
3
1
1
1
3
4
12
1
1
2
1
1
2
2
2
4
1
1
1
1
4
5
2
11
2
1
4
2
1
1
4
1
1
2
1
6
1
1
1
1
4
2
1
1
32
2
1
2
1
1
7
3
1
1
1
4
1
1
1
4
1
1
2
1
2
2
1
1
3
5
1
8
1
1
2
1
1
1
2
1
1
1
16
1
1
1
1
2
1
85
4
11
1
1
3
4
2
1
1
2
2
3
1
2
2
1
2
3
1
14
3
1
1
1
1
1
1
2
1
3
1
1
1
3
