10
24
1
45
6
1
1
6
1
5
1
1
7
1
1
2
3
1
1
12
1
1
2
5
14
1
1
7
1
1
2
3
5
1
4
1
3
1
1
1
2
3
11
1
1
4
1
20
3
5
1
2
23
17
11
1
1
1
7
2
1
1
2
1
3
23
3
9
4
1
6
2
3
2
1
6
2
3
2
11
2
1
1
2
1
4
5
1
1
5
1
2
1
10
43
1
3
2
1
1
1
1
6
1
5
2
2
1
100
7
1
2
6
8
4
1
1
1
35
5
1
3
1
11
1
14
1
2
2
1
2
1
2
1
1
9
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
18
1
23
1
64
3
1
1
41
1
8
9
1
1
1
1
40
3
1
1
3
22
23
4
11
5
1
3
6
15
13
2
2
20
1
1
1
1
1
1
5
1
3
1
11
23
1
40
1
4
11
2
1
2
2
1
1
1
2
1
3
1
1
1
9
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
17
1
1
1
2
9
1
1
1
1
1
1
1
43
16
1
1
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
4
1
3
1
1
1
2
1
3
1
1
29
4
1
1
6
1
1
2
2
1
1
5
1
1
1
1
12
3
2
1
1
3
285
19
8
4
1
1
3
2
3
1
2
2
4
1
1
1
2
1
1
19
1
1
1
1
1
10
1
4
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
13
1
1
1
1
2
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
4
1
9
2
2
1
1
1
1
1
1
1
7
1
2
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
2
9
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
6
1
3
1
1
1
30
3
10
3
3
1
4
1
1
1
1
1
3
3
1
1
1
1
13
1
1
3
1
1
1
1
1
7
46
1
1
1
1
1
2
1
1
1
1
1
2
2
2
33
1
1
1
1
1
4
3
1
1
3
1
1
1
1
1
1
1
8
9
2
3
1
1
1
30
1
1
1
1
1
1
1
2
13
32
12
1
2
1
1
4
6
1
65
2
2
13
1
1
7
1
1
1
1
1
1
2
5
1
4
1
43
11
1
1
1
1
6
3
4
38
1
2
1
4
1
1
1
2
1
2
1
2
3
1
1
1
1
2
2
2
2
1
1
1
1
11
2
3
2
2
1
2
4
5
8
1
4
6
1
1
2
101
3
4
2
1
2
8
4
73
10
1
1
2
1
2
3
1
2
5
1
13
1
3
80
3
1
2
2
1
1
2
1
4
1
1
3
7
6
1
33
3
22
1
7
1
1
2
57
1
1
14
1
2
1
1
1
5
1
4
3
1
4
1
1
12
1
1
1
1
2
3
1
1
1
8
7
2
27
1
1
1
2
1
1
1
1
1
10
1
1
25
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
31
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
4
1
2
1
1
13
4
3
3
1
1
1
1
1
1
1
2
11
1
2
1
1
1
1
7
1
1
1
2
1
1
1
5
4
1
24
22
2
1
1
1
21
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
120
1
1
1
1
1
3
1
1
1
1
1
2
1
16
1
2
1
1
1
2
10
6
32
1
1
1
2
1
6
7
1
1
46
9
9
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
44
21
1
3
1
1
1
1
1
1
1
5
3
1
1
2
12
1
1
5
1
1
1
1
1
3
5
1
1
1
1
1
5
5
2
1
1
1
3
1
4
2
2
2
6
1
1
1
1
3
1
1
3
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
1
1
1
1
3
79
1
1
1
6
2
2
1
1
2
1
1
1
1
1
1
100
1
1
6
4
12
2
1
6
7
1
100
40
29
12
1
10
4
2
1
2
1
17
1
1
1
48
2
1
1
6
1
1
1
1
2
4
1
2
4
1
2
1
1
132
1
1
1
8
1
2
4
4
75
3
1
2
3
12
6
13
1
1
1
2
1
1
1
2
2
1
1
2
1
1
1
1
9
6
6
2
1
1
1
1
1
1
1
2
1
1
4
5
6
1
1
1
1
1
1
8
1
7
6
168
1
4
2
1
1
1
1
1
1
1
1
2
2
2
1
1
2
1
1
6
1
1
1
1
2
2
1
3
1
1
2
1
1
1
2
1
1
3
1
1
2
3
2
1
1
2
3
7
1
1
1
2
1
1
1
1
5
1
3
3
1
4
1
1
1
1
2
1
5
1
1
1
28
7
1
1
1
4
1
1
7
2
1
5
1
1
1
1
8
1
6
7
1
1
2
3
2
43
2
3
1
100
1
4
5
1
1
1
1
6
1
4
1
1
2
1
1
2
2
1
2
1
3
2
1
2
1
1
9
1
1
2
1
13
1
4
2
24
1
1
3
1
1
5
1
1
2
3
2
3
5
7
3
14
4
2
3
1
1
4
3
4
3
5
1
1
5
1
221
1
42
4
1
100
4
1
14
1
6
1
20
1
1
1
1
1
1
1
5
9
1
2
1
1
1
1
4
86
1
4
5
1
1
1
2
10
5
1
2
1
8
1
1
77
5
1
1
2
1
1
2
2
3
1
1
1
1
1
1
1
4
4
1
1
1
2
1
1
6
1
2
1
2
2
1
1
1
1
35
1
1
1
1
3
2
1
2
1
1
1
22
2
1
1
1
1
1
2
1
1
1
1
2
23
1
1
1
1
1
2
2
1
1
1
3
1
2
4
1
7
1
39
1
1
1
62
7
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
1
14
1
3
1
1
1
1
1
1
1
5
7
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
85
79
3
1
21
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
1
1
1
1
1
1
1
1
2
1
1
1
2
7
17
1
1
1
1
14
3
1
1
1
4
2
1
1
40
3
87
75
3
6
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
52
6
1
5
36
52
4
1
1
1
1
1
3
2
1
3
6
1
4
1
4
1
1
1
1
1
47
6
4
1
15
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
3
2
1
1
3
22
1
1
2
1
1
1
2
3
1
1
10
8
11
1
1
1
7
4
9
4
2
1
2
2
10
23
1
2
1
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
2
44
8
9
1
2
5
2
1
2
9
1
1
3
1
1
1
3
2
4
4
3
4
5
2
1
6
3
3
1
1
1
2
5
1
1
2
1
3
1
1
1
1
1
2
7
1
2
4
1
1
17
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
4
1
6
1
3
2
1
13
89
1
2
2
6
3
2
18
1
1
2
2
9
3
4
1
1
6
2
1
11
1
27
4
1
1
1
1
2
2
1
1
45
1
2
1
1
3
1
5
9
2
1
1
72
1
1
1
1
1
1
1
1
40
2
5
48
1
1
1
1
1
1
1
1
2
1
1
1
8
6
15
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
9
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
2
3
1
6
4
10
1
1
1
1
4
1
1
1
1
9
6
3
1
1
1
2
1
1
1
1
1
2
34
1
5
1
1
17
2
1
1
1
1
1
1
1
1
1
1
1
1
15
16
25
2
1
1
1
1
1
1
1
1
1
12
1
1
3
3
1
2
1
1
1
6
1
1
7
1
1
1
5
1
1
1
4
1
1
1
1
8
1
1
1
1
1
1
1
13
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
14
11
1
2
1
1
1
1
4
1
1
19
3
1
1
1
1
1
1
1
1
5
3
2
1
2
1
1
1
1
7
1
1
1
1
1
1
3
1
1
2
1
1
1
1
11
1
1
1
3
2
2
1
1
1
1
1
1
2
1
1
16
1
7
19
2
1
1
1
1
1
1
1
1
31
16
148
9
1
1
1
1
1
1
1
2
1
2
1
1
24
1
1
1
1
2
1
1
1
4
1
1
1
1
1
10
13
3
3
1
1
1
2
2
21
1
1
1
1
24
13
3
1
17
2
2
1
1
1
1
4
10
1
1
1
5
21
120
2
23
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
26
2
1
2
1
2
1
8
3
1
1
7
1
1
10
1
1
2
1
21
1
1
1
2
2
1
1
1
2
1
7
1
5
1
1
12
1
2
3
2
1
3
3
1
3
1
13
1
1
1
3
1
1
1
1
1
3
1
1
1
8
1
1
32
2
1
1
1
1
11
1
1
1
20
1
1
3
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
6
2
1
1
1
1
2
1
1
1
1
1
1
7
1
36
1
17
9
1
1
5
5
1
1
1
1
1
1
1
1
2
1
1
25
12
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
31
4
1
1
1
1
1
2
1
1
1
1
1
5
1
2
1
1
1
1
1
1
2
2
1
1
4
54
1
3
1
2
1
1
1
1
2
3
8
1
1
2
2
1
1
1
1
1
1
1
1
113
13
1
2
1
2
2
2
1
1
8
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
5
1
1
1
6
1
1
1
1
1
1
1
5
1
15
2
1
25
35
3
3
1
1
1
1
1
1
1
1
3
5
1
14
1
4
1
102
5
1
2
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
22
1
12
1
2
3
2
2
5
1
2
1
2
1
2
10
1
1
8
2
17
111
1
8
1
4
17
2
2
9
1
3
1
1
1
2
16
1
1
1
7
13
1
13
2
1
51
1
1
1
1
47
2
1
1
16
1
1
1
1
3
3
1
3
2
35
1
1
3
1
1
1
1
2
1
1
1
3
1
1
8
37
6
1
1
1
1
4
1
1
8
1
1
1
1
9
2
1
2
1
28
1
309
13
1
4
1
1
3
2
1
1
1
22
2
2
3
1
1
15
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
1
1
3
3
1
2
135
1
1
1
1
1
1
1
32
3
1
1
1
3
3
1
2
3
147
1
32
33
1
4
1
1
1
21
6
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
2
4
1
1
1
1
1
1
1
2
1
1
1
3
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
4
1
6
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
5
56
1
1
2
1
1
4
1
23
4
2
1
1
1
1
1
1
3
1
16
3
1
213
18
23
17
1
1
1
1
20
1
1
1
1
1
2
1
1
1
7
1
5
4
5
3
6
1
1
1
6
4
11
1
2
5
1
1
3
4
1
1
2
5
1
1
2
1
1
1
2
1
1
6
1
1
3
1
1
2
1
1
58
1
1
4
1
1
1
1
1
1
13
1
11
1
1
9
1
2
1
1
159
1
1
1
1
1
1
1
6
2
2
13
1
2
1
1
6
1
3
46
15
1
20
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
4
1
11
1
1
1
1
1
4
2
1
1
1
1
1
1
2
1
1
8
1
1
3
2
1
1
2
1
2
1
1
1
1
14
2
3
1
3
3
1
1
1
2
1
1
2
1
1
39
31
1
1
2
1
1
1
1
2
1
1
1
2
1
3
1
1
1
4
1
2
1
2
1
1
1
2
1
1
1
2
1
1
49
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
100
2
1
1
4
1
1
1
2
3
1
1
1
2
2
5
3
3
3
2
1
2
1
1
2
12
1
1
17
1
1
1
6
1
3
1
1
1
1
1
1
6
1
1
2
1
1
2
1
1
7
1
29
7
1
1
1
1
1
1
1
1
5
8
12
29
10
5
23
7
235
10
1
1
1
1
44
1
2
2
4
22
9
2
4
1
2
1
1
3
50
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
1
1
2
1
1
1
1
1
1
1
2
1
1
1
13
1
1
1
1
1
5
8
6
23
1
9
1
1
2
80
5
1
1
21
4
3
31
1
1
1
4
4
2
155
1
32
2
1
3
1
1
11
4
4
2
1
2
1
1
1
2
1
1
3
20
1
1
1
1
2
1
1
1
1
1
12
2
18
8
3
5
4
1
1
5
2
2
1
1
2
1
1
1
5
5
1
1
3
1
7
1
2
1
1
1
1
1
10
1
1
1
1
1
1
11
1
5
27
1
4
53
22
3
1
3
1
2
1
1
1
2
1
1
1
1
16
1
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
7
1
4
1
1
1
4
3
6
1
1
4
1
4
1
1
82
1
1
1
1
1
3
1
1
47
1
1
1
1
1
11
1
2
3
1
1
2
1
1
1
907
68
1
1
9
1
1
3
1
3
5
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
33
1
2
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
7
1
1
7
1
3
8
1
100
1
2
1
1
1
1
1
37
1
1
1
41
1
2
2
1
1
1
2
1
1
1
1
1
12
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
47
2
4
1
1
1
1
2
1
4
11
1
3
7
1
1
1
1
2
1
1
2
1
1
3
28
12
1
1
55
2
1
1
1
100
3
1
2
1
3
6
8
1
1
1
1
2
1
2
1
2
1
4
1
1
2
2
1
2
1
2
1
6
20
6
9
1
1
1
1
4
2
4
1
2
1
2
1
1
1
3
6
22
72
9
1
1
1
1
2
1
1
2
2
7
16
34
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
1
30
28
1
1
1
2
1
1
4
2
1
1
1
1
1
5
1
4
1
5
1
2
2
10
2
1
1
15
1
100
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
4
2
3
1
1
1
1
1
61
1
1
1
1
1
2
1
47
3
1
1
11
1
1
2
10
1
2
12
1
1
1
1
2
25
3
1
1
1
7
16
24
1
1
2
135
1
1
1
1
10
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
67
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
100
24
1
6
1
1
1
10
14
7
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
1
6
1
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
12
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
8
2
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
176
2
1
1
10
4
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
9
22
3
1
1
52
1
1
26
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
75
17
1
1
21
2
1
6
2
1
3
14
137
16
36
3
2
1
62
2
1
4
1
1
1
1
3
1
1
20
6
4
1
1
2
12
1
2
1
3
1
1
2
1
1
23
1
1
1
1
12
1
1
6
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
4
1
1
1
3
1
130
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
15
1
2
7
1
2
1
1
1
1
1
1
1
1
8
1
2
1
1
24
1
1
1
1
1
1
1
100
3
3
1
1
1
9
2
1
9
12
29
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
2
13
4
1
1
1
1
1
1
1
1
15
2
1
1
2
1
1
1
2
7
1
3
3
1
1
1
1
1
1
1
1
1
15
1
3
6
1
1
1
1
1
1
1
1
1
1
2
3
2
3
1
9
4
2
1
1
8
3
1
2
1
1
1
7
1
1
4
7
9
7
2
2
2
3
30
1
2
3
1
2
1
1
1
3
1
3
1
1
15
2
10
2
1
1
1
2
1
2
1
1
1
1
5
6
1
1
1
1
1
5
7
1
1
131
1
1
1
4
16
1
216
1
1
1
28
1
1
1
46
1
1
1
4
4
1
9
1
1
2
1
1
1
1
1
1
1
1
27
3
1
3
1
1
1
1
2
3
1
5
1
2
1
3
1
158
1
7
1
44
2
16
2
1
4
2
1
6
3
7
1
10
17
26
6
112
4
1
1
4
1
2
1
2
1
2
33
4
3
1
12
4
7
21
22
38
12
2
1
1
1
10
1
1
4
33
2
3
7
23
1
3
2
1
1
1
1
1
1
25
2
1
2
13
10
1
4
1
4
4
1
1
1
1
1
1
6
1
2
1
2
1
1
1
1
1
1
1
1
1
3
9
15
28
18
63
66
28
2
2
1
1
5
1
1
1
1
1
1
175
1
1
1
1
1
1
1
16
14
14
10
1
7
1
1
3
1
6
1
2
1
1
1
1
1
1
1
2
1
1
1
10
3
1
1
1
1
1
1
1
1
83
1
1
1
1
1
1
1
1
1
1
1
40
1
1
1
2
2
2
1
1
1
1
2
1
2
14
2
1
7
4
12
1
1
3
3
1
1
10
2
1
11
6
1
1
1
1
2
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
2
50
1
1
1
1
8
1
3
1
100
1
1
1
1
12
1
6
1
1
1
2
1
1
6
210
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
4
1
1
1
4
1
1
1
1
1
20
4
3
1
1
2
2
1
1
3
1
1
35
1
21
2
1
1
1
1
1
2
1
1
1
3
1
1
28
11
1
1
1
2
2
1
1
3
3
6
1
10
2
1
6
31
1
1
1
1
2
1
1
1
1
1
3
1
15
1
1
1
1
1
10
23
1
1
1
1
1
1
20
1
3
1
2
3
1
1
4
130
1
1
1
2
79
7
1
1
1
3
6
1
1
2
1
10
4
1
2
1
2
1
7
4
1
3
4
4
14
1
40
15
7
2
1
1
2
1
1
1
13
5
5
1
2
1
1
1
1
39
56
2
5
3
2
8
1
35
1
1
1
1
1
1
1
1
1
1
3
1
65
4
10
3
10
1
1
4
1
1
1
1
1
1
1
3
15
4
2
1
3
1
1
9
3
1
3
1
2
7
4
1
1
1
1
1
1
1
1
44
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
63
1
1
1
1
1
1
1
87
3
1
1
1
1
1
1
5
1
2
12
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
4
2
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
2
1
1
1
1
1
1
1
1
1
1
8
27
24
1
1
1
2
1
28
39
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
4
1
1
1
1
1
1
2
1
1
1
4
2
1
1
1
1
9
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
52
14
2
1
2
2
1
3
1
4
128
3
1
3
29
1
9
1
1
1
2
37
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
10
5
29
1
3
1
1
1
1
10
2
4
2
2
61
1
1
14
2
1
1
51
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
10
3
1
5
2
2
1
1
1
1
1
1
1
1
7
11
8
1
1
1
1
1
8
2
9
1
9
12
1
4
1
1
6
6
9
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
10
1
1
2
1
1
1
3
1
26
1
1
1
1
1
2
4
45
1
1
42
3
2
1
1
1
1
5
5
4
1
1
1
1
23
1
1
2
2
1
1
1
1
1
1
2
1
1
2
2
1
4
1
1
1
1
3
1
2
9
1
1
1
12
3
1
1
1
2
1
1
1
3
1
4
19
4
3
2
3
1
1
1
4
1
21
1
1
8
1
1
1
1
3
1
1
1
1
1
20
1
3
5
1
1
2
1
13
1
10
1
1
1
39
1
3
1
2
2
1
5
3
4
6
5
1
1
2
3
3
6
1
6
1
18
2
1
1
1
2
1
1
1
1
6
10
17
2
1
1
10
1
2
1
1
10
15
1
1
1
1
1
1
1
7
2
12
153
3
4
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
7
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
2
4
1
1
5
5
4
1
1
1
8
10
9
4
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
8
1
90
17
5
3
1
6
20
1
1
1
1
1
1
2
1
1
38
1
1
2
1
1
1
1
5
1
23
2
1
1
1
1
1
1
10
3
3
2
14
7
2
1
1
3
1
1
2
2
1
42
1
2
2
7
1
1
1
1
1
5
3
9
1
41
3
1
8
1
1
2
1
3
5
5
1
1
15
7
1
8
8
1
22
33
3
9
1
1
1
3
2
1
9
8
3
1
1
5
3
1
1
1
1
1
3
6
6
1
9
5
5
4
2
34
4
1
1
1
1
1
2
1
3
2
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
20
5
2
3
62
7
34
143
1
1
1
1
1
1
2
48
1
2
1
10
1
1
1
1
1
3
1
1
15
1
4
1
1
1
3
2
2
1
1
3
11
1
5
1
1
1
1
2
1
7
25
2
16
1
7
1
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
9
3
1
3
1
28
302
1
3
2
12
1
1
4
1
1
1
1
7
1
1
2
1
1
7
1
1
1
2
1
10
2
1
13
2
1
1
3
11
5
1
1
1
1
2
11
1
4
1
1
1
1
1
2
3
4
8
95
231
1
2
1
1
1
1
2
2
1
1
6
1
1
1
4
1
5
1
5
1
3
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
5
3
1
1
1
1
1
1
2
1
1
1
1
1
13
1
1
17
1
2
2
1
1
1
2
1
6
9
1
17
3
2
5
2
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
68
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
2
1
1
1
1
1
4
34
2
1
2
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
13
3
1
1
1
4
1
2
1
1
1
8
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
70
1
1
1
3
9
4
1
5
1
1
1
7
2
2
1
2
1
1
2
1
4
1
3
3
1
1
1
1
1
4
4
1
1
34
2
5
1
1
1
1
1
1
1
1
7
1
1
9
2
1
1
1
1
1
2
1
4
1
2
1
1
2
2
1
1
3
1
434
1
1
2
1
1
5
7
1
1
1
2
2
1
1
1
6
1
1
1
1
1
10
1
1
1
13
6
4
2
1
2
4
11
1
1
1
7
2
23
3
2
17
20
9
1
1
2
1
4
2
1
1
9
105
1
1
1
4
1
4
3
1
4
21
1
1
1
1
2
1
1
1
6
3
88
2
2
5
16
1
1
5
5
1
1
6
1
2
3
11
2
2
7
1
1
4
2
1
84
20
5
2
1
10
1
24
1
1
1
2
1
4
79
1
1
2
1
3
1
7
1
3
1
1
1
1
1
5
1
3
1
77
3
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
10
1
2
1
1
3
14
1
1
6
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
4
1
2
1
2
1
1
1
4
1
1
1
1
3
1
1
1
1
9
2
1
9
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
24
1
1
1
1
1
2
23
2
1
1
1
1
2
58
3
1
1
9
1
1
1
1
1
1
4
1
3
30
4
1
1
1
23
53
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
38
1
1
1
4
1
3
43
1
1
3
82
1
1
1
1
1
1
1
3
1
1
1
1
5
70
43
1
1
1
3
1
29
4
1
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
4
1
1
3
1
6
1
2
3
1
1
1
1
1
1
1
1
1
1
8
6
1
1
23
2
1
1
1
1
1
4
26
1
9
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
2
1
2
1
2
1
1
1
1
3
3
1
1
2
1
1
1
1
5
21
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
100
1
2
1
9
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
23
1
1
1
3
3
1
2
1
1
1
2
1
1
2
12
1
1
1
1
1
1
1
1
1
60
1
1
1
1
1
4
9
1
1
13
32
3
2
2
4
2
4
10
4
1
1
1
8
4
3
2
1
1
5
2
3
9
1
2
12
1
17
6
14
5
39
9
1
1
2
1
1
12
3
1
1
7
27
2
1
73
1
22
1
1
3
287
1
1
2
1
1
1
1
11
9
1
2
2
50
3
3
1
3
3
4
2
1
50
1
2
1
1
1
94
1
2
1
7
1
2
1
1
21
3
1
1
1
1
3
1
1
4
1
3
1
9
15
3
29
3
1
1
1
1
2
1
1
1
7
1
14
16
1
1
1
1
1
2
1
1
1
1
5
1
3
3
5
1
3
1
1
1
1
1
4
2
1
1
2
1
1
1
3
1
1
38
100
57
14
2
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
51
1
1
58
1
1
1
1
1
18
3
1
1
2
7
6
26
6
1
16
2
1
1
2
1
1
8
1
1
1
1
1
1
72
4
1
1
1
2
5
2
1
2
2
1
14
1
1
1
1
1
7
1
1
1
1
1
1
6
1
2
7
1
1
1
3
1
1
1
1
1
2
9
7
17
4
1
1
1
1
1
1
33
1
3
45
3
3
1
4
1
2
1
2
7
1
16
1
1
1
1
13
8
2
69
11
1
1
3
1
1
1
1
3
18
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
2
3
2
12
3
2
1
3
1
2
15
2
1
1
1
50
1
1
1
1
1
1
1
2
1
1
1
1
1
1
75
1
1
1
3
1
2
1
1
6
5
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
47
30
1
11
3
5
26
38
74
1
38
1
1
5
1
1
1
1
1
2
1
1
1
1
5
6
1
3
1
6
4
2
1
1
1
1
1
1
1
2
1
2
1
4
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
2
64
2
1
1
2
1
3
8
1
1
10
1
43
31
1
1
1
1
13
1
17
1
1
3
2
20
1
1
3
1
1
3
2
1
1
1
1
1
2
1
1
2
14
11
17
4
6
1
1
1
1
1
1
2
1
33
2
1
1
1
1
6
1
1
1
3
1
5
2
1
1
1
2
16
1
1
1
7
31
1
4
3
1
1
7
1
2
2
1
1
1
19
1
3
2
1
5
4
13
1
5
4
9
1
4
3
2
1
1
1
4
1
1
3
2
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
110
1
7
7
2
9
1
4
4
1
5
1
52
1
1
1
1
1
1
1
1
1
11
7
1
1
1
1
1
1
1
1
1
2
4
1
5
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
81
19
3
1
3
1
1
1
2
1
11
28
1
1
2
1
1
1
1
1
1
1
1
6
1
6
1
2
1
8
1
4
1
1
1
26
3
3
1
2
2
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
7
3
1
1
1
1
6
1
27
6
27
14
1
5
1
1
1
1
2
2
1
1
1
1
1
1
2
33
1
1
2
1
1
1
1
30
2
1
10
51
2
2
3
1
3
1
11
2
5
1
1
3
1
1
1
1
1
20
1
11
2
1
1
1
1
1
10
1
1
36
5
1
3
18
9
2
1
2
9
1
1
2
2
1
2
1
30
5
6
1
3
1
2
8
1
1
2
1
1
1
1
3
1
1
1
1
1
10
1
4
2
1
3
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
2
1
1
84
1
1
100
2
2
1
1
1
1
1
1
1
1
25
1
2
9
1
1
1
4
1
1
3
1
1
1
1
88
1
1
1
3
2
3
1
1
2
1
1
1
2
1
1
1
1
2
1
14
1
1
1
1
1
1
1
3
2
2
3
1
1
1
299
1
1
1
2
1
1
1
1
1
1
1
2
1
3
3
2
1
1
1
1
2
1
4
5
1
2
1
2
5
2
2
4
1
1
20
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
24
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
10
5
1
1
1
1
2
1
1
1
2
4
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
57
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
5
8
1
2
1
1
1
1
1
1
1
1
1
105
1
2
2
1
1
1
1
1
1
1
1
1
1
141
2
6
5
1
1
4
1
9
4
1
1
1
1
1
3
1
1
1
406
2
1
1
1
1
1
1
2
4
1
1
29
1
15
13
2
1
1
1
2
1
4
1
1
3
1
1
1
1
16
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
3
2
3
1
1
28
1
1
43
1
1
1
5
3
1
2
1
1
1
1
4
1
1
1
1
1
11
2
1
1
1
3
1
1
1
42
1
2
1
2
8
3
4
1
1
1
1
1
2
1
65
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
9
153
6
3
8
1
1
1
6
1
1
2
1
2
5
1
2
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
4
1
5
1
1
1
18
41
2
1
40
2
1
2
3
22
1
1
2
2
19
1
1
1
2
1
3
30
1
2
1
1
7
1
2
5
14
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
17
135
4
1
4
23
1
21
1
1
1
5
1
1
22
2
5
1
3
1
1
1
1
1
1
20
2
1
1
13
7
1
1
3
1
1
1
1
1
1
1
9
1
1
1
4
1
1
2
2
10
1
1
2
1
1
2
1
1
7
1
1
2
4
27
155
1
1
195
1
1
1
3
27
1
1
1
1
1
3
4
10
3
3
5
2
1
6
1
4
3
1
5
1
12
1
1
1
1
1
1
6
1
1
1
1
1
1
9
1
1
73
1
3
1
1
1
1
1
1
1
1
1
1
4
10
1
11
3
1
1
1
1
2
1
1
1
209
2
2
528
1
22
2
2
7
1
4
1
4
1
100
3
1
1
8
27
1
2
1
1
1
1
1
2
1
1
1
1
10
1
1
1
1
3
1
3
1
1
1
1
1
18
1
1
1
8
4
1
1
1
1
1
5
4
3
1
1
1
1
1
1
107
1
3
1
1
2
1
1
1
6
3
30
1
5
1
1
1
1
1
1
1
1
1
3
2
3
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
5
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
39
43
4
1
2
1
1
2
1
1
1
8
1
1
1
2
10
8
1
5
5
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
4
1
2
8
5
1
1
1
1
1
1
1
1
1
1
1
3
1
14
2
1
1
5
27
1
2
2
1
1
1
1
1
2
1
1
5
6
7
1
6
2
4
19
1
1
1
1
1
1
2
1
3
1
3
1
1
4
1
2
3
1
3
1
1
1
1
35
1
1
1
1
1
1
1
14
35
2
1
1
1
1
1
1
1
1
1
2
1
1
2
3
11
2
1
20
3
5
1
1
57
6
544
7
3
3
1
4
3
1
4
1
1
1
1
1
1
2
1
1
8
1
1
6
33
1
3
1
1
2
1
11
15
1
1
1
1
4
100
2
9
5
1
5
2
3
1
1
23
1
1
23
4
4
1
3
2
20
67
1
8
1
2
1
1
1
1
1
7
1
3
1
2
1
1
2
1
1
1
1
3
2
1
9
40
2
1
1
1
1
1
4
14
303
2
4
6
2
1
94
33
3
1
1
5
10
9
3
1
1
14
1
1
9
1
20
1
1
11
1
50
1
6
4
1
1
4
1
46
9
1
2
1
2
2
1
3
1
2
2
18
3
1
5
3
1
1
36
1
31
1
1
1
2
355
154
8
1
2
5
10
1
3
2
1
3
1
2
2
1
1
1
1
1
3
1
2
2
1
7
9
1
1
16
7
1
5
3
12
1
1
2
5
3
2
1
2
2
1
1
1
2
1
1
1
2
1
1
1
450
10
18
4
32
4
2
1
4
6
1
6
20
1
5
3
1
99
11
9
1
8
1
1
1
22
1
4
1
1
1
1
1
