46
2
8
1
1
2
4
1
1
1
3
1
1
1
1
1
3
2
1
1
1
4
1
1
2
1
1
1
5
1
1
5
93
3
1
1
1
1
1
1
1
2
1
4
5
2
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
8
1
16
5
1
7
2
1
1
3
1
1
5
10
2
1
1
1
1
4
2
1
1
2
1
1
1
1
2
11
1
1
2
1
2
3
1
1
1
10
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
2
37
5
1
2
2
1
1
4
2
2
1
1
3
2
4
21
4
1
1
4
1
3
1
5
1
10
3
1
3
1
2
1
1
2
1
2
1
1
15
5
1
2
1
15
1
1
1
1
7
1
5
1
2
4
14
4
5
6
3
1
5
34
1
1
2
1
5
1
1
42
1
6
1
1
1
2
1
1
1
1
1
1
3
1
1
2
4
2
5
2
1
1
1
1
2
2
1
1
3
1
1
2
2
5
1
1
2
1
1
1
2
1
1
1
4
1
1
1
1
1
1
2
3
1
1
1
1
2
2
1
1
4
2
3
2
1
2
1
1
1
1
8
1
1
1
1
1
2
3
1
2
11
6
1
4
1
10
4
1
1
2
2
1
1
1
1
1
2
1
15
2
8
1
1
1
1
1
1
1
1
6
9
4
1
1
3
1
2
4
1
2
2
1
1
1
1
1
3
1
5
2
1
1
1
3
3
5
1
3
2
1
2
1
2
1
1
3
3
1
1
17
1
5
1
2
48
5
2
3
5
1
1
12
2
3
1
1
2
1
3
1
1
3
12
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
7
6
1
1
1
1
2
4
1
1
1
6
2
2
4
1
1
49
4
1
1
1
1
1
10
1
37
2
1
3
2
2
1
2
1
2
1
2
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
5
3
2
1
1
2
1
1
1
18
1
1
1
2
2
1
1
4
1
13
1
15
2
1
1
1
1
2
1
3
1
5
1
7
34
2
1
1
2
2
1
2
1
1
1
1
8
1
1
1
1
2
3
1
2
2
3
1
1
2
2
1
7
1
1
6
2
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
2602
1
2
1
1
1
4
8
3
2
1
6
1
2
1
1
1
4
1
2
1
1
3
2
1
1
8
1
1
12
2
1
1
1
1
1
5
3
1
1
1
3
1
1
4
1
2
1
2
1
1
3
4
1
1
3
1
2
1
1
1
1
1
2
2
1
2
3
1
1
2
1
1
1
1
1
1
4
8
1
2
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
4
8
1
1
5
1
1
5
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
11
3
1
8
1
1
1
1
1
3
2
1
2
2
1
1
1
1
2
3
1
1
1
1
2
5
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
4
3
1
1
5
3
5
1
7
1
1
5
1
1
1
1
2
1
8
3
1
1
1
1
1
1
1
1
1
2
1
3
3
4
1
5
1
1
3
2
1
13
1
1
2
1
1
2
12
1
3
2
3
1
1
6
1
1
1
1
6
2
1
4
1
3
1
2
2
1
1
5
3
5
2
4
3
1
1
1
1
1
1
2
20
2
4
8
1
1
1
1
3
1
1
1
1
8
1
2
64
5
3
1
1
4
9
1
1
3
2
1
2
3
1
3
1
1
2
1
8
1
2
6
3
5
7
1
4
1
1
2
2
1
3
2
3
2
1
1
1
2
3
1
2
5
1
1
1
1
1
2
1
1
2
3
1
1
1
1
1
4
3
3
1
1
1
1
6
7
4
1
3
4
1
3
1
2
1
1
1
2
1
15
4
1
1
1
1
5
1
2
1
9
1
2
1
1
2
1
2
1
3
1
1
1
3
1
1
1
2
1
1
2
4
1
1
1
1
2
1
5
1
1
2
1
3
3
8
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
6
4
1
3
1
1
2
1
1
2
3
1
13
11
4
1
1
1
6
2
1
1
2
3
1
1
2
1
6
2
8
8
2
1
1
1
2
1
1
2
1
2
1
1
1
1
5
4
1
1
2
1
1
2
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
2
12
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
3
2
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
8
1
2
1
4
2
1
1
3
2
3
7
7
3
7
3
1
1
1
1
5
5
27
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
10
53
4
1
1
3
2
1
2
1
2
2
2
2
1
1
6
1
3
9
3
1
2
1
3
1
1
1
1
1
3
2
3
3
10
1
1
1
1
2
2
1
1
1
2
1
1
3
2
14
7
1
1
1
7
16
2
3
2
1
1
14
2
1
1
7
4
7
3
1
56
1
1
1
4
5
20
1
18
2
1
1
6
1
3
4
2
1
1
1
5
1
1
1
1
1
1
1
39
11
1
12
1
1
1
1
1
1
3
8
1
1
1
4
2
1
11
11
3
1
1
1
1
2
2
5
3
1
3
1
4
1
4
1
1
1
1
2
2
2
3
5
6
1
2
3
1
2
167
1
1
1
2
1
1
1
1
1
1
1
1
3
1
10
1
1
2
1
1
1
1
1
2
1
4
1
2
1
3
1
1
5
2
1
1
10
8
5
1
1
1
2
2
1
1
1
1
2
11
2
1
1
21
1
1
1
7
1
1
1
2
3
1
2
3
1
1
2
3
2
3
2
4
1
1
6
2
1
20
2
1
4
2
1
1
4
1
1
19
1
1
1
1
16
1
1
11
1
10
1
1
3
3
5
1
1
1
1
2
4
2
1
3
25
2
1
1
1
3
1
32
1
1
1
2
1
9
1
1
1
1
4
1
3
1
1
2
2
1
1
2
1
2
5
2
1
16
1
1
1
3
6
3
3
2
1
1
1
2
1
1
2
1
1
1
1
2
1
2
2
1
7
10
2
2
1
1
58
3
10
1
1
3
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
8
1
1
1
2
2
2
1
1
1
2
1
4
1
1
2
2
1
1
1
4
6
1
1
2
3
1
1
1
2
2
1
1
3
1
2
1
1
1
1
3
7
1
2
1
1
1
1
1
1
48
4
1
1
1
1
1
1
20
1
1
1
2
10
1
3
1
1
1
1
2
1
3
3
1
1
4
1
2
3
1
1
1
1
1
1
11
1
1
1
1
2
5
1
1
1
1
1
1
1
3
1
5
1
1
1
9
3
6
2
1
1
11
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
5
2
22
1
1
1
2
26
1
2
2
15
2
1
1
1
2
11
4
4
2
1
1
24
1
14
2
2
1
33
1
1
1
1
2
1
2
1
3
1
1
1
1
1
5
2
1
1
2
1
1
1
1
1
5
3
1
1
1
1
5
1
1
8
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
3
6
1
2
1
1
2
27
1
3
1
4
3
1
1
1
1
1
1
5
1
1
1
4
1
1
1
4
2
1
2
3
62
1
2
1
2
1
1
1
2
1
1
2
1
2
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
9
4
1
1
3
5
2
4
1
1
1
1
1
3
8
2
3
2
1
4
1
1
2
1
1
4
3
1
1
2
1
2
1
3
1
2
1
2
39
1
1
1
1
1
1
1
1
3
1
2
2
1
1
4
1
1
1
6
3
1
2
1
16
1
1
1
1
1
2
2
4
5
1
2
2
2
1
1
4
2
2
1
1
2
2
2
1
1
1
2
2
8
4
1
1
2
1
3
60
8
2
2
2
1
6
2
1
4
7
3
1
1
1
1
62
1
1
1
1
5
2
1
3
1
1
1
1
1
3
1
3
1
6
3
2
8
1
1
1
2
4
1
1
1
2
3
1
1
5
1
1
1
1
1
5
5
3
1
2
10
1
2
2
1
17
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
2
1
1
1
2
2
6
1
2
15
3
2
1
1
1
2
16
2
2
1
1
1
1
1
1
1
1
1
3
1
1
2
3
1
4
1
5
1
1
1
1
1
1
5
2
3
1
1
1
1
1
1
2
2
1
2
2
2
1
1
1
2
1
11
1
1
2
1
1
2
1
2
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
1
3
2
2
1
1
18
1
1
2
3
17
1
1
1
7
1
1
1
1
1
14
3
1
1
2
1
1
3
1
3
1
3
1
2
1
1
1
6
3
4
9
2
1
1
1
58
1
1
2
1
1
3
1
1
3
1
1
1
3
2
1
1
3
1
2
1
1
4
2
1
15
1
3
15
4
3
1
10
15
4
3
1
1
1
5
1
1
7
2
1
1
1
1
16
2
3
14
1
1
4
2
2
1
12
1
1
4
2
1
4
2
1
1
2
5
1
1
2
2
4
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
2
1
2
1
3
2
2
47
2
1
1
1
2
18
1
2
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
1
2
2
1
6
1
1
3
1
1
2
4
1
1
1
1
2
2
1
3
1
11
1
1
7
1
14
3
72
2
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
3
3
1
4
3
4
2
3
1
1
1
1
1
1
170
3
1
1
1
1
3
4
2
2
1
1
3
1
2
1
7
1
2
1
3
1
1
1
2
1
4
1
1
4
2
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
2
16
4
1
1
2
6
2
1
13
1
1
3
8
2
1
1
1
2
5
1
3
2
1
1
18
1
1
1
1
9
1
2
1
1
1
10
1
1
1
1
7
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
17
1
1
2
8
1
1
3
1
1
2
1
1
1
1
4
1
1
7
1
2
1
3
1
1
2
24
8
6
1
1
1
1
21
1
1
1
8
1
1
2
6
2
1
7
16
3
2
3
1
1
2
1
1
1
1
1
8
1
11
1
2
7
1
1
7
4
4
7
1
1
1
2
1
19
1
1
1
2
5
1
4
2
1
1
1
1
1
1
4
2
6
1
1
1
1
5
2
1
25
1
1
1
1
1
1
1
3
1
1
6
12
2
2
1
1
1
1
3
3
2
2
3
1
1
6
2
1
3
21
1
1
5
1
3
7
18
1
1
1
1
4
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
3
3
2
2
2
2
2
2
3
3
1
4
1
2
2
1
11
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
3
1
1
1
6
1
2
1
1
1
2
78
2
4
1
2
1
1
1
1
13
1
3
1
1
7
1
2
1
1
11
3
1
1
5
1
1
5
1
3
2
1
1
1
3
1
1
14
4
11
1
1
1
1
1
7
19
2
1
3
1
5
7
1
1
1
1
4
1
1
1
1
2
7
2
1
7
1
1
6
5
3
2
1
1
9
2
1
1
2
1
3
1
1
1
1
1
2
8
2
14
1
5
1
1
1
1
1
1
3
1
2
2
1
1
9
6
1
1
1
3
2
1
1
1
1
1
7
2
2
1
1
3
1
1
1
1
2
1
5
1
1
1
10
2
1
1
1
3
2
2
8
3
1
1
1
1
1
2
1
6
1
1
1
1
5
2
3
1
1
1
4
1
1
1
5
1
1
1
3
1
8
1
1
2
1
3
1
2
2
4
2
1
1
1
2
1
2
1
6
2
26
4
1
2
1
1
1
1
1
1
1
1
1
5
1
2
29
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
4
3
2
8
1
2
1
1
1
21
1
1
7
1
1
1
1
2
4
1
3
1
1
8
1
1
1
1
2
2
1
6
1
29
3
1
1
9
4
7
2
17
1
14
1
4
1
1
2
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
16
1
3
2
1
1
3
1
1
2
1
2
1
1
1
2
1
1
1
2
1
1
2
1
4
1
2
1
1
1
1
20
12
1
1
2
2
1
1
7
1
2
1
2
1
1
2
1
2
3
6
2
3
3
2
1
2
1
1
1
1
1
11045
1
1
3
1
2
1
1
1
1
3
1
1
4
1
1
3
1
1
2
2
2
1
16
1
15
3
1
5
2
1
1
1
1
1
1
4
2
1
1
1
1
4
2
1
1
3
1
1
1
1
1
3
1
4
1
4
1
1
1
1
1
1
1
1
1
1
2
2
1
6
1
1
1
2
2
4
2
3
1
2
68
4
1
1
1
1
1
1
1
1
2
4
3
1
1
3
1
1
9
1
1
1
2
10
1
8
1
3
2
2
2
1
1
1
2
1
1
1
1
1
17
2
1
1
1
2
3
1
2
1
1
1
7
1
1
3
4
1
1
7
1
54
2
116
52
1
1
2
13
7
50
5
15
1
8
1
2
2
3
2
1
1
1
3
2
9
1
4
1
3
1
12
36
5
3
8
2
3
12
16
1
1
1
3
2
1
3
2
3
1
13
3
8
2
1
1
1
2
20
1
1
1
10
1
1
1
6
1
3
1
1
3
1
27
3
2
93
1
1
1
2
1
8
2
1
1
1
2
4
1
1
9
4
1
1
1
1
2
3
2
1
1
48
2
10
6
1
11
8
1
1
1
1
1
1
2
2
1
12
1
2
15
1
1
1
7
1
5
3
1
21
16
2
1
2
2
1
1
12
5
15
3
1
1
1
3
8
1
7
3
2
1
5
2
1
4
3
3
2
1
1
17
2
1
8
1
2
4
1
5
2
11
1
1
4
1
1
2
2
2
1
1
2
1
1
2
1
1
3
2
2
3
2
61
5
2
4
1
1
1
1
1
2
1
1
1
1
1
1
8
1
1
1
2
3
2
1
16
1
4
1
1
1
1
1
2
1
1
19
15
1
1
1
1
4
5
1
1
3
1
3
1
2
2
1
1
3
1
5
5
1
3
3
2
1
1
1
45
4
6
1
1
1
1
1
1
4
1
1
1
4
7
1
2
7
1
1
1
21
1
2
3
33
3
1
1
5
1
5
2
1
2
2
1
8
3
1
1
1
1
1
2
2
1
1
1
18
2
13
3
21
5
7
10
2
13
1
1
1
2
1
1
1
2
6
2
7
1
1
7
1
2
1
1
4
4
3
1
2
1
1
1
3
1
1
12
1
7
1
1
2
3
1
5
1
1
5
1
11
2
2
2
1
1
4
1
3
1
1
1
1
1
2
1
1
10
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
11
1
3
1
1
1
1
13
1
8
1
4
2
1
1
2
1
14
1
2
2
1
2
1
1
4
6
1
3
1
1
1
6
1
1
2
1
1
1
1
1
1
22
2
2
3
1
1
1
1
1
2
9
1
2
1
21
3
3
7
1
2
1
1
2
10
1
1
2
31
3
1
2
2
1
14
1
4
1
1
2
1
1
1
1
3
1
2
15199
3
1
1
1
32
3
1
3
9
2
1
2
1
1
6
1
3
1
1
3
1
1
1
4
1
2
3
2
5
6
3
1
1
4
51
2
1
5
1
1
1
1
1
4
1
2
2
1
1
39
1
4
1
2
4
1
1
1
3
5
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
2
3
4
17
1
1
2
2
2
1
2
1
3
1
9
1
1
7
5
1
23
7
2
1
1
15
1
1
2
1
1
1
1
5
2
1
1
1
1
1
1
2
2
1
1
1
1
7
1
1
3
1
2
1
3
2
2
1
1
1
6
15
9
1
1
2
6
1
1
1
1
1
1
1
18
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
3
1
1
8
6
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
8
1
1
3
1
5
1
25
3
8
1
2
1
1
1
9
3
1
1
1
1
1
1
1
2
2
5
3
1
2
1
1
1
4
3
1
51
4
1
2
2
1
1
206
1
1
2
1
2
1
1
5
1
2
1
1
2
2
1
1
5
1
1
1
1
8
1
1
1
1
1
3
1
1
3
1
2
84
1
1
2
6
3
10
1
8
8
8
4
1
1
1
5
1
9
1
11
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
8
2
1
1
1
2
1
1
1
1
4
6
1
7
1
4
12
1
1
1
4
4
1
1
1
1
1
5
1
1
5
7
5
1
1
3
1
1
1
1
1
5
311
1
1
1
2
1
6
3
1
1
4
1
2
2
1
1
1
3
2
1
1
1
1
3
1
9
1
8
2
1
3
1
1
1
1
2
1
1
2
1
3
2
1
14
7
2
1
2
1
2
1
23
2
13
6
2
1
5
1
3
1
1
1
1
1
1
2
1
1
1
4
1
10
7
17
7
2
1
1
6
6
1
1
1
1
5
1
2
5
1
6
1
1
4
3
2
4
1
1
2
2
1
1
1
1
4
1
1
5
8
1
1
2
2
1
1
1
2
1
1
3
2
5
5
1
1
1
12
1
4
12
2
8
1
2
2
1
3
2
1
3
3
1
1
1
2
1
1
1
1
1
3
4
1
1
3
1
1
9
20
1
17
1
5
4
2
4
3
1
1
1
1
1
1
1
1
16
3
31
3
1
3
2
1
3
1
36
1
3
1
1
2
1
1
1
1
2
1
1
1
11
18
1
3
18
1
1
1
5
1
15
2
1
46
1
2
6
1
4
3
3
1
1
4
1
3
1
2
1
3
3
1
2
3
1
1
2
1
3
21
1
1
1
1
1
2
1
7
5
4
1
1
1
1
3
1
2
1
2
4
1
2
2
1
2
1
1
1
2
2
1
4
3
3
1
5
1
1
1
1
5
1
6
1
1
1
4
2
1
1
1
2
2
1
2
1
1
6
1
3
1
8
2
1
5
7
2
5
1
1
1
2
3
1
16
3
12
5
2
1
4
3
2
2
2
1
5
1
1
1
1
1
1
1
7
1
2
1
5
1
2
1
1
3
1
25
1
1
8
2
1
1
1
2
2
1
1
1
1
10
1
7
1
1
2
1
1
2
1
1
2
38
1
3
2
7
1
1
2
1
1
1
1
6
4
3
2
1
2
2
2
1
11
1
1
3
1
4
1
1
11
1
1
1
1
1
3
16
10
10
14
1
1
5
1
3
1
1
1
1
3
1
1
1
1
4
1
4
1
1
16
1
1
1
2
2
4
2
1
1
2
9
1
1
1
1
1
1
1
1
8
9
2
1
2
2
1
1
1
1
5
2
108
5
1
1
1
2
2
2
1
2
4
3
1
1
5
1
1
2
1
1
1
1
2
1
4
5
1
1
1
5
1
22
1
1
2
2
1
2
1
2
14
2
3
1
1
1
2
2
1
1
2
1
4
1
6
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
1
1
1
1
1
2
1
3
1
1
1
1
3
2
1
3
2
1
1
1
1
3
1
1
2
2
1
1
1
4
1
1
1
4
2
1
1
2
1
1
3
3
2
3
1
7
1
2
1
1
1
2
1
2
1
2
1
4
1
2
1
1
1
1
1
1
1
2
1
2
2
2
2
1
5
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
2
1
3
1
1
1
2
1
3
1
1
2
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
8
1
1
2
1
2
1
1
1
1
1
1
2
1
1
2
1
2
2
2
1
1
3
1
1
2
1
2
1
4
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
3
2
1
1
2
1
1
2
1
4
1
1
2
1
1
2
1
1
2
1
2
2
1
1
1
1
8
2
1
2
1
1
1
1
1
2
1
4
2
2
1
1
2
4
1
1
2
4
1
1
3
1
2
1
3
3
2
1
4
1
2
1
1
2
2
1
8
1
1
1
4
1
1
1
2
1
1
3
1
1
4
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
2
4
1
1
1
2
1
3
1
2
1
2
2
1
1
1
1
3
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
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
3
3
2
1
1
1
1
2
1
1
1
1
1
2
1
1
5
4
2
1
1
1
5
1
2
1
3
1
2
1
1
1
1
1
2
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
4
1
1
1
1
2
1
3
1
1
1
1
2
1
1
5
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
2
1
1
1
2
1
1
2
1
1
6
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
2
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
2
1
2
1
1
1
1
1
2
1
1
1
1
2
5
1
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
2
8
1
1
1
1
11
2
1
1
2
2
1
1
2
1
1
2
1
1
1
1
1
4
1
1
2
1
1
1
1
2
5
1
1
1
3
2
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
2
14
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
3
1
1
2
3
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
74
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
2
14
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
2
1
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
2
1
1
1
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
3
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
2
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
2
5
1
10
4
5
1
28
1
1
2
1
3
1
9
1
1
1
1
1
1
2
1
2
4
2
1
2
35
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
18
3
4
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
2
2
2
1
1
1
1
1
1
1
1
1
5
1
2
1
2
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
2
1
1
1
1
4
1
5
1
7
1
1
2
1
1
1
1
2
1063
3
1
4
1
1
3
3
1
1
3
1
1
1
1
2
2
1
1
1
8
2
1
22
1
3
2
1
2
5
5
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
2
1
2
10
2
1
1
1
1
1
2
2
2
2
1
1
1
1
1
2
2
3
5
1
1
1
1
1
12
3
1
1
2
2
1
5
2
184
2
1
3
2
1
2
4
2
1
1
3
3
1
1
1
1
1
2
1
1
2
2
1
1
1
1
2
1
16
1
7
1
1
1
3
2
2
3
1
1
1
2
3
26
1
1
1
1
1
2
1
1
2
2
1
6
1
1
1
1
1
2
3
2
1
1
1
2
1
1
6
7
1
2
2
3
1
1
2
1
2
10
1
2
1
10
3
4
3
1
4
19
14
1
33
2
3
11
7
1
1
1
1
1
3
5
1
1
1
1
1
2
3
5
1
2
32
4
1
1
3
1
11
1
3
1
2
1
1
1
1
8
1
2
1
2
2
1
1
3
3
4
3
2
2
3
1
1
1
1
11
1
4
1
3
1
1
3
1
1
1
1
2
2
8
1
1
1
6
2
2
2
2
5
1
8
2
1
9
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
8
1
1
1
2
1
1
1
1
6
1
3
2
11
4
2
3
1
1
3
1
1
1
6
5
2
2
2
2
1
4
1
1
1
8
4
2
6
3
2
1
8
42
1
1
3
1
1
1
4
2
4
3
1
4
2
2
2
1
4
3
1
1
4
2
3
1
2
2
7
3
1
1
1
1
7
3
1
1
1
1
4
1
1
1
4
3
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
2
1
2
1
1
5
1
8
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
6
1
2
1
1
1
1
1
3
4
1
2
5
1
1
1
2
4
1
2
6
1
2
3
42
1
6
4
2
1
1
8
1
1
1
1
3
1
1
1
2
1
8
1
4
1
1
8
2
1
2
1
3
1
1
1
1
2
2
9
1
1
12
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
12
1
7
1
1
1
1
1
2
10
1
1
2
1
1
1
2
5
1
1
1
4
1
1
2
2
1
1
2
34
1
1
3
1
8
2
2
1
1
1
15
1
1
14
4
14
1
5
1
7
1
1
1
1
1
12
2
2
1
2
1
27
1
2
18
4
1
1
1
12
1
1
2
2
2
1
2
1
2
1
1
1
1
1
1
7
1
1
3
3
1
36
6
2
1
1
1
1
3
22
5
1
3
2
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
34
2
1
1
1
1
1
9
1
1
13
1
9
3
5
1
6
1
2
1
27
1
4
4
4
25
3
1
17
7
72
1
1
2
3
2
5
1
3
1
1
1
1
1
6
1
1
2
1
9
2
1
3
1
1
1
1
1
1
2
1
5
1
2
3
1
19
1
2
1
1
1
7
1
4
11
1
2
3
1
1
4
3
1
1
4
1
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
5
5
1
2
1
4
2
1
1
1
1
1
3
1
2
1
1
1
2
1
2
2
1
2
2
2
1
5
16
1
2
2
1
1
1
8
2
1
1
1
1
1
1
1
1
2
1
1
3
5
1
1
2
1
3
4
1
1
1
1
1
1
1
1
1
2
4
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
3
3
1
1
3
4
1
1
1
1
1
7
5
1
1
3
1
1
5
6
1
1
1
2
1
2
1
6
1
10
5
3
4
5
8
1
1
5
1
1
1
1
4
1
12
13
8
1
1
2
1
13
3
1
4
2
1
1
2
2
1
1
1
1
1
2
1
1
1
1
2
4
1
1
1
1
28
1
5
2
12
1
6
3
1
1
3
1
1
1
1
1
35
3
2
2
2
1
2
3
1
1
1
2
5
3
1
1
1
1
4
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
6
9
6
2
1
1
1
1
2
1
1
25
2
1
16
3
1
1
6
1
1
5
2
4
15
1
11
1
1
2
1
4
1
2
1
1
1
1
5
1
1
2
2
1
6
2
1
1
1
1
3
1
1
1
1
2
4
1
4
3
2
11
1
1
9
1
1
1
1
1
1
2
1
4
1
5
1
1
1
1
2
1
1
1
1
1
58
1
1
5
1
8
2
6
1
20
6
1
5
2
1
12
2
2
1
1
1
1
2
2
1
1
11
2
1
1
1
1
4
1
2
1
1
3
1
2
1
1
2
1
1
1
5
3
1
1
1
1
2
1
1
2
2
2
1
2
1
1
1
1
1
1
5
2
10
10
1
4
7
3
1
2
5
1
4
1
8
1
7
1
1
1
1
4
1
6
3
1
25
3
1
4
2
1
4
1
2
4
1
1
3
1
2
1
1
1
2
1
2
1
1
1
1
1
2
1
4
3
2
1
2
1
1
1
1
2
1
3
4
7
6
1
1
2
1
1
1
1
1
1
1
3
1
1
1
11
1
2
3
1
3
1
1
1
2
2
3
1
2
1
1
1
2
4
41
1
1
1
1
1
13
2
1
1
11
4
1
9
1
1
4
1
1
1
2
1
1
2
1
4
1
3
3
1
2
6
1
2
4
6
2
2
1
2
1
1
2
1
1
2
3
3
1
1
18
1
3
1
10
4
6
1
2
1
2
1
1
1
1
1
2
1
38
1
66
7
1
5
13
10
37
11
6
3
1
4
1
1
1
2
7
1
50
2
1
6
2
1
3
1
1
1
1
1
1
2
1
2
1
2
4
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
13
1
3
1
1
21
4
1
1
28
1
5
1
1
2
1
1
1
1
10
2
1
21
5
2
16
2
16
1
4
219
1
4
5
3
1
1
5
1
14
2
3
3
2
1
194
1
1
17
1
2
1
2
4
1
8
1
1
2
1
3
1
2
1
1
1
1
3
1
2
2
1
2
10
4
9
17
3
1
1
1
10
1
2
1
2
2
5
15
3
1
2
6
1
21
3
1
9
3
4
1
1
1
1
4
4
2
8
4
2
6
1
1
1
1
1
4
1
2
2
56
1
1
1
1
1
3
9
1
5
1
1
4
5
4
7
3
4
41
1
3
11
17
7
2
2
2
1
1
22
1
1
6
1
1
11
1
1
1
1
1
4
2
3
6
1
3
2
3
1
7
1
5
1
1
3
2
1
7
4
2
1
1
1
18
10
2
1
3
1
6
4
7
3
1
1
22
3
4
2
1
1
6
1
6
25
1
1
29
2
4
1
30
2
8
2
99
1
2
1
1
2
1
3
2
2
1
3
3
1
1
2
11
6
1
1
2
1
1
3
2
2
2
2
1
1
3
2
2
1
1
1
4
1
3
1
1
1
1
7
5
1
7
1
1
1
2
1
1
3
1
1
5
2
2
1
1
5
1
1
1
3
1
8
13
1
6
1
10
1
1
2
2
3
11
1
1
3
2
14
1
4
2
3
3
1
3
1
1
3
18
1
1
7
1
7
3
1
4
3
1
1
2
1
3
8
8
5
2
1
1
2
1
1
5
1
8
2
5
7
1
10
1
88
32
1
1
1
1
22
2
10
1
3
9
1
2
1
1
3
12
2
2
1
1
10
7
1
2
3
1
1
1
1
1
3
1
2
7
33
3
1
1
1
4
17
1
2
2
2
5
3
1
54
1
2
1
9
2
1
1
1
1
1
2
12
1
1
28
5
4
4
1
11
1
2
4
1
2
1
3
2
1
30
4
3
1
6
53
3
2
5
1
4
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
2
2
1
3
1
1
2
3
1
1
2
1
1
2
1
4
1
1
4
1
2
2
2
11
2
7
851
2
2
1
4
1
3
3
1
1
4
1
2
1
63
1
1
1
2
1
1
14
1
1
1
7
1
1
7
1
1
4
1
2
76
6
1
4
1
2
1
8
1
1
4
4
1
1
1
3
2
9
3
6
1
9
3
7
1
4
43
1
2
3
13
1
4
1
1
1
2
1
1
1
1
2
3
6
2
2
1
7
16
3
11
1
3
9
15
2
1
