2
32
1
23
4
18
21
10
1
3
1
1
1
1
4
4
1
1
1
1
1
1
1
4
1
2
1
3
1
2
1
1
1
3
1
3
2
1
1
1
13
7
2
1
1
2
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
2
4
1
1
3
2
1
20
1
3
2
1
1
4
11
2
2
3
1
1
1
8
3
16
2
1
1
1
1
1
1
1
3
1
2
3
1
2
1
1
2
1
1
1
1
1
16
4
4
1
9
1
1
1
1
1
4
1
3
5
1
2
2
1
1
1
1
2
1
1
2
8
6
1
3
1
5
2
1
1
3
1
1
4
1
1
2
1
1
1
2
1
1
16
1
1
1
1
1
14
1
1
1
1
1
1
1
2
4
2
2
1
1
1
1
1
1
17
1
4
1
1
1
2
1
6
1
2
1
2
1
1
4
2
3
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
3
23
4
1
2
1
5
3
2
1
2
2
2
1
2
6
4
1
1
2
1
2
1
1
1
2
1
2
1
1
1
1
2
2
1
1
1
1
1
5
6
3
1
2
1
1
1
5
2
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
2
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
4
1
1
1
1
2
2
1
5
1
2
3
1
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
8
2
1
2
1
1
5
2
1
1
8
23
1
1
5
1
6
1
1
1
1
1
1
3
1
1
3
2
1
9
1
1
1
1
1
4
3
1
1
31
1
2
3
1
1
1
1
5
1
1
2
1
3
2
5
1
2
1
1
1
5
1
5
2
1
1
1
1
1
2
1
6
1
1
13
1
3
2
2
3
3
9
1
3
3
1
1
1
1
1
1
2
1
1
2
5
1
2
1
3
1
1
2
2
1
4
1
1
2
3
1
1
1
1
1
1
1
5
1
1
1
1
2
1
2
4
1
5
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
3
26
1
1
1
1
1
2
9
4
1
1
1
5
1
4
1
3
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
2
1
1
1
2
1
1
1
2
6
1
1
1
1
1
1
4
1
1
1
2
1
1
1
5
3
1
1
2
2
2
1
1
2
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
2
18
1
2
1
28
1
1
2
1
1
1
1
1
1
3
2
1
1
1
1
7
1
2
1
14
4
1
2
1
3
1
1
1
1
2
1
2
1
1
1
1
4
4
1
1
1
1
1
1
2
1
1
11
1
1
2
1
3
1
1
1
2
3
1
3
1
1
3
1
4
5
4
1
3
1
1
1
2
1
1
1
1
3
1
2
1
1
4
2
2
1
1
7
1
1
1
1
3
1
1
4
1
12
1
1
1
1
1
1
2
1
2
2
3
1
1
1
1
1
5
1
1
3
2
1
1
2
1
2
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
11
1
2
1
2
2
3
1
1
4
5
1
2
1
1
1
2
1
16
3
1
1
1
2
3
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
1
5
1
1
2
1
3
1
1
1
4
1
1
1
1
1
1
1
1
8
2
1
1
1
1
1
1
4
1
1
2
1
1
6
1
3
3
1
1
2
1
2
1
1
2
2
22
11
1
1
2
1
1
1
20
1
1
5
1
1
1
1
2
1
3
3
1
1
1
2
1
1
4
2
5
1
1
1
2
1
1
1
5
3
1
1
1
1
1
1
1
4
1
2
2
1
2
1
1
2
3
1
1
2
1
3
1
1
1
1
4
1
1
6
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
2
1
1
2
4
3
2
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
3
4
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
6
3
1
1
1
10
1
1
1
1
1
2
3
2
1
1
1
1
1
2
9
2
4
1
9
1
2
4
1
1
1
1
1
1
1
1
2
2
1
1
8
3
3
2
1
1
1
1
1
1
5
1
1
1
1
2
4
1
3
2
1
1
2
1
1
2
1
1
2
1
2
1
1
1
2
3
1
2
5
4
1
1
1
1
2
1
4
1
1
2
1
1
1
1
5
3
1
1
1
1
1
1
1
1
9
5
2
2
1
2
3
2
3
1
5
1
1
1
1
1
1
1
1
1
1
5
1
27
2
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
2
4
1
1
2
1
1
1
2
1
1
1
1
2
2
2
3
1
1
3
2
1
12
1
1
13
7
1
1
2
1
1
1
1
1
1
1
2
6
1
2
1
2
3
1
1
1
1
1
1
1
2
1
6
1
1
3
1
1
5
7
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
8
4
1
2
1
1
1
2
3
2
1
1
1
1
1
1
2
1
3
2
1
2
3
1
1
4
1
2
2
3
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
3
2
1
1
1
1
3
1
2
40
2
1
2
1
1
2
2
2
1
1
2
1
2
1
4
2
1
1
2
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
4
1
1
3
3
1
7
2
1
1
2
1
8
1
1
2
5
1
1
3
1
3
3
1
8
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
7
2
1
1
1
33
1
1
1
1
1
1
1
2
1
1
1
4
1
1
17
1
2
1
7
2
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
7
2
1
1
1
5
1
1
3
1
1
2
1
3
1
3
2
1
1
5
2
1
1
2
1
1
1
3
6
5
1
1
1
1
2
5
1
1
1
4
3
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
14
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
4
1
2
10
1
2
1
2
1
1
2
2
3
1
1
2
1
1
1
2
1
1
3
3
1
1
1
5
2
2
1
1
6
15
2
3
3
1
3
9
5
1
5
1
3
1
1
1
2
2
1
1
1
2
2
3
7
1
1
2
1
1
2
1
1
1
1
8
2
1
5
1
1
1
1
2
3
1
1
3
1
2
1
1
4
1
1
1
2
1
4
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
2
1
1
1
1
1
30
1
1
1
1
3
2
1
1
2
2
1
2
1
1
1
1
1
2
1
1
4
1
1
1
4
1
3
3
1
1
1
2
3
2
1
1
1
1
2
1
1
1
1
6
12
1
7
4
2
2
2
3
1
5
1
1
1
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
6
2
2
2
1
1
2
1
2
1
1
1
1
3
1
1
1
3
1
3
2
1
7
1
2
1
1
4
18
2
4
2
1
3
1
1
1
1
1
1
1
1
3
1
3
1
2
3
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
1
2
1
1
1
1
2
3
1
1
11
1
1
5
2
1
1
7
2
3
1
1
1
2
1
2
3
2
2
3
2
1
3
1
1
1
1
1
1
1
5
3
4
5
1
1
1
2
2
1
2
2
1
1
1
1
2
9
1
1
1
1
1
1
1
1
13
1
2
2
9
2
1
1
1
6
1
1
1
1
5
1
1
1
3
4
6
2
1
2
1
1
1
1
2
7
3
1
2
1
1
4
2
2
1
1
1
1
1
1
4
2
1
1
1
1
1
2
1
1
2
1
1
2
6
2
1
4
1
1
5
1
2
4
1
1
2
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
2
1
5
2
1
3
1
1
2
1
5
1
57
4
9
8
1
1
1
4
1
1
1
1
1
1
2
1
1
2
4
1
1
1
1
1
1
5
2
1
4
1
2
1
1
1
3
1
1
2
1
1
1
1
7
3
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
25
1
2
1
11
2
1
1
1
1
2
1
1
2
1
1
4
1
2
1
1
1
6
1
7
2
1
1
2
1
2
2
1
1
2
1
2
1
1
2
2
1
1
4
1
2
1
2
2
1
1
1
8
1
1
2
3
7
2
1
1
1
3
1
1
2
19
1
1
28
2
2
1
1
1
5
2
1
1
1
4
1
4
1
1
1
1
1
2
2
3
2
9
1
1
3
2
1
2
1
2
1
3
6
4
2
1
1
2
1
12
1
5
2
2
1
4
1
1
1
1
1
1
3
6
1
1
2
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
7
1
1
1
3
4
1
2
1
2
1
1
2
3
1
1
1
1
2
1
1
2
1
1
1
1
2
1
2
1
1
2
1
1
5
2
1
1
1
2
1
1
2
1
9
3
1
1
1
2
1
1
1
1
1
2
1
1
33
1
2
1
1
1
2
1
2
3
2
1
6
4
1
1
1
1
1
1
1
1
2
1
1
21
3
2
1
1
1
8
1
2
1
2
1
2
2
3
1
1
2
1
1
2
1
1
1
3
26
1
4
1
2
49
5
4
1
1
2
1
1
1
1
6
1
1
3
2
1
1
1
3
2
2
12
1
3
4
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
5
3
1
2
2
1
2
1
1
1
9
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
4
3
1
1
3
2
2
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
4
1
1
3
1
1
14
2
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
13
1
1
1
4
1
1
1
1
4
1
2
3
1
1
1
1
1
1
1
5
1
1
52
1
1
1
1
3
3
1
2
2
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
6
1
1
2
1
4
2
1
1
1
2
5
1
1
2
3
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
7
3
1
1
4
2
2
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
4
2
1
1
1
2
1
1
1
4
1
7
5
2
2
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
51
1
9
3
2122
1
1
2
3
2
1
1
1
1
2
2
1
1
1
5
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
23
7
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
5
1
1
1
5
1
1
3
2
6
1
4
3
2
1
1
1
1
1
2
1
4
6
1
1
2
1
3
2
1
5
1
1
1
2
1
1
1
1
1
1
2
1
1
3
5
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
46
1
1
3
1
1
1
19
1
1
1
1
1
1
1
1
2
1
1
6
1
7
1
1
1
4
2
1
1
1
6
1
1
9
1
1
1
4
12
1
1
3
1
3
1
1
1
9
1
2
1
1
1
1
3
2
1
1
1
1
16
1
1
1
1
2
1
5
4
1
1
1
2
1
1
1
1
1
3
34
1
4
5
1
2
1
3
1
2
1
1
1
1
5
1
3
8
2
1
1
2
2
1
6
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
5
1
1
8
1
3
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
5
1
1
1
6
1
1
4
1
5
3
1
1
10
1
1
1
2
1
1
1
1
1
1
2
1
2
2
3
1
1
1
1
1
1
4
2
8
2
1
3
1
2
5
7
6
7
4
1
1
1
1
2
1
1
1
1
1
2
6
1
1
1
2
1
1
4
2
1
1
1
1
5
8
1
1
1
1
1
25
1
1
1
1
2
1
3
1
2
7
6
1
1
1
1
3
1
1
1
2
2
1
1
1
2
1
1
1
1
2
1
4
3
1
1
1
1
1
2
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
6
3
1
3
2
4
3
1
1
1
1
6
1
2
6
8
9
1
2
1
1
1
1
2
1
1
1
2
2
1
1
1
2
1
2
1
1
1
2
3
1
2
1
5
1
1
2
1
1
1
1
1
1
1
6
6
6993
3
1
7
2
2
3
1
1
1
1
1
1
9
5
1
3
1
1
1
1
1
1
3
7
2
1
1
1
3
1
3
1
2
1
11
1
1
2
1
1
1
1
1
1
2
2
2
1
3
1
1
1
4
2
1
19
2
6
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
5
2
1
1
1
2
1
1
1
17
3
1
1
2
1
1
1
1
1
3
1
1
2
6
2
4
5
3
2
1
3
3
1
2
1
4
2
2
1
1
3
4
1
3
1
41
1
1
1
3
1
3
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
2
1
28
1
5
1
1
4
1
3
1
1
1
3
1
1
2
1
1
2
12
1
1
1
1
1
1
1
2
1
2
1
4
1
1
1
1
1
2
1
1
1
1
3
1
1
1
2
1
8
1
1
1
1
1
4
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
4
1
3
1
1
5
1
2
27
1
2
1
2
1
1
1
1
2
4
1
1
10
1
1
1
1
1
7
1
1
3
1
1
1
27
2
2
1
1
1
1
1
1
1
1
2
3
23
5
5
1
2
1
1
1
1
13
2
4
3
2
1
2
1
1
1
2
1
1
1
2
3
1
1
1
2
1
2
1
2
2
1
1
1
1
1
1
1
5
2
1
1
1
1
2
2
2
1
1
1
1
1
1
2
2
1
1
1
2
1
5
1
1
1
1
1
1
1
1
2
3
1
9
1
1
3
1
1
2
1
1
1
3
2
48
1
2
3
1
1
1
4
2
1
1
1
1
3
1
1
1
2
1
2
1
2
8
1
1
1
1
6
1
2
1
1
1
1
13
3
3
3
1
2
2
2
1
3
1
1
2
2
2
2
1
1
5
7
4
2
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
1
1
2
1
1
1
1
5
2
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
14
1
4
4
1
2
1
1
2
1
1
18
8
4
1
1
4
1
1
7
1
1
1
3
1
2
1
1
2
1
1
1
1
3
1
2
1
3
2
4
5
1
7
1
1
6
1
1
1
2
1
2
4
1
1
1
2
3
9
1
1
1
2
1
9
1
4
1
2
1
1
2
2
1
3
1
4
1
1
1
1
63
2
2
4
1
2
2
1
1
2
1
2
1
1
1
1
1
7
1
1
1
2
1
1
1
2
1
7
3
2
1
1
2
1
3
1
3
1
1
1
2
1
5
3
1
14
21
1
1
3
2
1
1
1
1
2
3
3
3
25
1
4
4
1
1
7
1
1
1
1
1
5
1
1
21
1
1
2
1
2
1
1
1
1
2
3
3
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
8
5
1
1
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
7
4
1
1
3
1
1
2
3
1
1
6
6
3
2
1
6
1
3
1
5
1
1
1
2
1
8
3
1
10
1
1
1
1
1
2
1
1
1
1
1
3
2
3
2
1
2
4
1
1
3
2
1
1
2
1
1
1
1
5
1
1
1
1
1
3
3
1
1
2
4
1
1
2
1
3
1
1
3
1
1
3
1
1
2
1
1
3
1
3
2
1
1
1
3
1
3
1
1
1
1
2
2
3
1
23
1
8
1
1
2
1
2
1
18
2
1
1
1
2
3
5
1
1
7
2
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
2
1
3
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
3
1
1
1
2
3
1
4
3
1
1
1
2
2
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
2
3
2
1
2
2
2
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
4
1
1
1
1
3
1
2
1
1
1
3
2
1
1
1
3
1
1
2
1
6
2
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
1
2
1
2
2
11
3
9
1
1
1
1
3
1
1
1
4
1
2
1
1
1
1
1
1
1
1
2
1
2
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
2
3
1
1
2
5
1
4
1
1
1
2
1
5
1
1
2
1
1
2
1
2
1
2
1
1
1
4
1
1
1
1
2
2
1
2
1
2
1
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
3
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
2
1
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
2
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
64
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
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
2
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
2
1
2
1
2
1
1
2
1
1
1
1
4
1
1
1
3
1
1
1
4
2
1
1
3
1
3
1
1
2
4
1
1
1
1
10
1
2
2
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
13
2
2
1
1
1
2
1
1
1
1
1
7
5
1
1
2
1
1
1
2
2
1
32
17
3
1
4
1
1
1
1
1
2
1
1
1
1
1
1
4
4
5
2
711
2
2
4
1
1
2
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
1
1
3
1
1
1
3
1
2
2
1
1
10
5
1
2
1
4
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
2
1
1
1
1
1
1
5
2
4
1
2
1
1
1
1
9
6
1
2
1
1
1
1
4
1
1
1
1
3
1
1
1
1
2
5
1
1
1
1
3
1
1
1
1
3
3
11
1
1
1
5
1
1
1
1
2
2
1
1
1
1
8
2
1
1
2
1
1
3
4
1
1
1
1
2
1
3
1
1
1
2
1
1
2
1
1
1
2
3
3
4
8
1
10
1
1
1
1
1
7
2
1
1
1
5
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
20
1
1
1
1
1
2
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
3
1
1
1
2
3
3
1
1
1
1
4
1
7
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
4
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
2
3
2
3
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
5
3
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
39
2
1
1
1
2
6
1
1
1
1
1
3
1
1
1
2
1
12
1
1
1
1
5
2
1
1
2
1
1
1
1
4
2
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
2
4
1
15
14
1
1
1
1
4
4
1
1
1
1
13
1
2
1
5
1
1
1
1
1
2
5
2
1
1
1
1
2
5
4
1
2
1
3
1
5
1
16
2
4
2
1
3
1
1
1
1
1
7
3
3
1
2
1
2
4
2
1
1
1
1
1
4
1
1
1
3
1
1
1
2
1
2
1
1
6
1
1
1
12
3
2
1
1
2
4
1
1
1
5
2
1
2
1
1
1
1
2
7
7
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
4
3
1
1
1
8
2
1
25
1
1
1
2
2
1
1
2
1
21
1
1
1
1
2
1
1
1
1
1
6
1
1
1
1
2
1
2
1
4
1
3
1
3
1
1
1
2
1
1
2
7
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
2
1
1
1
1
1
3
1
1
1
1
4
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
9
1
1
1
1
1
1
1
1
4
1
1
2
1
2
1
2
1
1
2
1
3
1
1
2
8
6
1
11
7
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
4
1
2
1
3
4
1
1
2
1
2
1
2
1
1
1
1
1
2
2
1
1
1
1
2
1
1
2
1
1
2
2
1
2
5
1
2
4
1
1
2
1
2
1
1
2
4
1
2
2
1
2
1
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
1
2
2
2
1
4
1
1
1
3
11
2
1
2
1
1
2
8
1
5
1
1
5
1
2
1
2
1
1
1
1
1
2
2
1
3
2
1
1
1
3
2
1
5
1
1
3
1
1
1
1
1
29
18
1
1
2
1
1
2
2
1
1
1
1
1
2
2
1
2
1
1
1
10
1
4
2
2
62
2
2
1
15
2
5
2
1
4
1
1
5
4
1
1
3
11
2
3
1
1
2
1
1
2
4
1
6
2
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
1
3
1
1
1
2
1
2
1
9
6
1
2
3
1
1
1
2
1
2
1
1
1
1
2
1
1
2
5
4
5
1
1
1
1
1
3
2
1
1
1
1
1
1
1
5
1
1
2
1
8
2
1
1
8
1
1
1
3
1
1
5
1
1
1
1
2
1
1
1
8
1
1
8
1
3
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
2
3
1
1
1
3
1
1
1
1
2
1
34
1
3
1
2
1
3
45
1
1
1
2
1
3
2
1
1
2
4
1
1
1
1
1
1
2
1
21
4
1
1
9
1
1
4
9
1
1
3
2
1
2
2
4
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
2
1
4
1
8
1
4
1
4
1
1
1
1
4
1
1
1
6
1
1
1
4
1
1
1
1
1
2
1
1
2
1
1
9
1
2
10
1
1
2
1
1
2
4
2
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
5
1
1
3
1
1
2
4
6
1
3
1
1
1
2
23
2
3
1
1
1
2
3
78
1
1
7
1
1
2
1
3
2
1
1
2
5
1
1
2
1
1
2
1
1
1
1
1
4
4
1
2
1
5
1
1
5
6
1
6
2
4
1
14
4
4
2
1
1
15
1
1
3
1
1
1
6
1
1
3
1
1
1
2
1
1
2
1
2
2
3
1
1
1
1
6
2
1
1
1
10
1
1
1
7
1
1
1
2
2
1
1
3
1
1
1
1
1
2
4
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
5
1
1
1
2
1
1
3
5
6
3
1
2
1
1
1
1
1
1
8
4
3
1
1
1
1
1
2
1
1
2
1
1
1
3
4
1
2
2
1
1
3
1
2
122
2
1
1
1
2
1
2
1
2
1
3
2
1
7
10
8
4
1
1
3
1
1
4
1
1
1
1
2
2
63
4
4
1
1
10
1
2
1
1
4
2
4
1
1
1
1
17
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
10
1
2
2
2
1
2
2
1
2
2
1
2
2
1
3
1
1
1
5
1
6
1
5
3
1
1
2
2
1
1
1
4
1
1
17
1
1
1
1
1
1
1
1
3
2
2
6
266
2
2
1
1
1
4
1
2
1
4
1
1
1
4
7
1
2
4
1
1
1
4
1
1
4
1
7
7
1
1
6
1
5
1
1
1
1
7
2
1
1
2
1
1
3
3
1
12
1
1
4
2
2
1
1
1
2
1
2
3
1
1
1
1
1
1
2
1
7
1
1
1
2
2
1
2
1
1
1
2
1
5
6
1
1
1
1
