8
18
1
39
6
1
1
4
1
5
1
1
5
1
1
2
3
1
12
1
1
1
5
10
1
1
4
1
1
2
3
5
4
1
3
1
1
2
3
11
1
1
4
1
12
3
5
1
2
21
17
11
1
1
1
5
2
1
1
2
1
19
1
6
4
1
4
2
3
1
6
2
3
2
10
1
1
1
2
1
4
3
1
1
2
1
2
1
7
37
1
2
2
1
1
1
1
6
1
4
2
2
72
7
1
2
6
5
4
1
1
1
35
5
1
3
1
5
1
14
1
2
2
1
2
1
2
1
1
7
1
1
1
1
1
1
1
1
6
2
1
1
1
15
1
23
51
3
1
40
1
8
8
1
1
1
1
36
3
1
1
3
17
16
4
11
5
1
3
6
15
13
2
1
17
1
1
1
1
1
5
3
1
11
21
1
33
1
4
9
2
1
2
1
1
1
2
3
1
1
1
3
2
1
1
1
1
1
1
1
3
1
1
17
1
1
1
2
6
1
1
1
1
1
1
1
43
16
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
22
4
1
1
5
1
1
2
1
1
1
4
1
1
1
12
3
2
1
1
3
221
19
7
2
1
3
2
3
1
2
1
4
1
1
1
2
1
17
1
1
1
10
1
4
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
13
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
2
1
3
8
2
2
1
1
1
1
1
4
1
2
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
2
7
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
6
1
3
1
1
1
30
3
10
3
3
1
4
1
1
1
1
3
3
1
1
1
1
10
1
1
3
1
1
1
6
37
1
1
1
1
1
1
1
1
1
1
2
2
25
1
1
1
1
1
4
3
1
1
2
1
1
1
1
1
1
1
8
9
2
1
1
1
29
1
1
1
1
1
1
2
12
25
9
1
2
1
1
4
4
1
61
2
2
7
1
1
7
1
1
1
1
4
1
2
1
43
7
1
1
1
5
2
3
38
1
2
4
1
1
1
2
1
2
1
2
3
1
1
1
2
2
1
1
1
1
10
2
3
2
2
1
1
3
2
8
1
4
6
1
2
79
3
2
1
2
3
4
43
10
1
1
2
1
2
3
1
2
5
1
13
1
3
64
3
1
2
2
1
1
2
1
4
1
1
3
7
3
1
33
3
17
1
7
1
1
2
53
1
1
14
2
1
1
1
3
1
4
2
4
1
1
9
1
1
1
2
1
1
1
5
5
2
27
1
1
1
1
1
1
7
1
1
19
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
31
1
1
1
1
7
1
1
1
1
1
1
1
2
1
1
2
1
1
1
4
2
7
3
2
1
1
1
1
1
1
1
11
1
2
1
1
1
1
6
1
1
1
1
1
1
1
2
4
1
17
19
2
1
1
20
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
116
1
1
1
1
3
1
1
1
1
1
14
1
2
1
1
1
2
8
4
28
1
1
1
1
1
6
7
1
39
9
9
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
36
20
1
2
1
1
1
1
1
1
1
4
3
1
1
2
12
1
1
5
1
1
1
1
1
5
1
1
1
1
4
5
2
1
3
1
4
2
2
2
4
1
1
1
1
3
1
1
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
24
1
1
1
1
1
1
1
3
59
1
1
3
1
1
1
1
2
1
1
1
1
100
1
1
6
3
8
2
1
6
3
1
100
21
25
12
1
10
4
2
1
2
1
17
1
1
1
43
2
1
1
6
1
1
1
1
2
3
1
2
4
1
2
1
1
119
1
1
5
1
2
4
4
61
3
1
2
3
7
3
9
1
2
1
1
2
2
1
1
1
1
1
1
1
9
4
6
1
1
1
1
1
1
2
1
3
5
6
1
1
1
1
1
8
1
7
3
163
1
4
2
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
5
1
1
1
1
1
2
1
3
1
1
2
1
1
1
2
1
3
1
1
2
3
2
1
1
2
3
7
1
1
1
1
1
1
1
5
1
2
3
1
3
1
1
1
1
2
3
1
1
1
17
7
1
1
1
4
1
1
3
2
5
1
1
1
7
1
3
7
1
1
2
3
2
43
2
3
1
100
1
4
4
1
1
1
1
5
1
4
1
1
2
1
1
2
1
1
1
2
2
1
1
1
6
1
1
2
1
13
1
3
2
17
1
1
2
1
1
4
1
1
2
3
1
3
5
7
2
11
4
2
2
1
1
3
3
4
2
4
1
5
1
169
1
33
4
1
100
4
1
11
1
6
1
18
1
1
1
1
1
1
4
8
1
2
1
1
2
69
1
4
5
1
1
1
1
10
2
1
2
8
1
1
67
5
1
1
1
2
2
3
1
1
1
1
1
4
4
1
1
1
2
1
1
6
2
1
2
2
1
1
1
35
1
1
1
1
3
2
1
2
1
1
1
19
2
1
1
1
1
1
1
2
23
1
1
1
1
1
2
2
1
1
1
2
1
2
3
1
5
31
1
1
1
50
7
1
1
6
1
1
1
1
1
1
1
1
1
3
1
10
2
1
1
1
1
1
3
7
6
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
68
62
3
1
21
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
6
16
1
1
1
1
12
3
1
1
1
4
2
1
1
30
2
76
65
3
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
44
4
1
5
34
46
4
1
1
1
1
1
2
2
1
3
6
1
4
1
4
1
1
1
1
35
4
4
1
15
1
1
1
1
1
1
1
1
1
1
1
6
1
1
2
2
1
1
3
17
1
1
1
1
2
3
1
1
10
8
11
1
1
3
3
7
4
2
1
2
2
7
23
1
1
1
8
2
1
1
1
1
1
1
1
1
1
1
1
1
34
8
9
1
2
5
2
1
2
7
1
1
1
1
2
2
4
4
3
4
5
1
1
5
3
3
1
1
1
2
5
1
1
2
1
3
1
1
1
1
1
1
6
1
2
4
1
1
17
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
5
1
3
2
1
9
83
1
2
2
6
3
2
15
1
1
2
2
7
3
3
1
1
5
2
1
11
1
23
3
1
1
1
1
1
2
1
1
44
1
2
1
1
2
1
3
9
2
1
1
71
1
1
1
1
1
1
1
35
2
5
37
1
1
1
1
1
1
1
1
2
1
1
8
5
14
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
8
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
2
2
1
5
4
8
1
1
1
1
4
1
1
1
1
9
6
3
1
1
1
1
1
1
1
1
2
31
1
5
1
1
17
2
1
1
1
1
1
1
1
1
15
16
11
2
1
1
1
1
1
1
1
9
1
3
3
1
2
1
1
1
5
1
1
7
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
9
2
2
1
1
1
1
1
1
1
1
1
1
17
14
11
1
1
1
1
1
2
1
1
19
2
1
1
1
1
1
5
3
2
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
10
1
7
17
1
1
1
1
1
1
1
30
16
130
6
1
1
1
1
1
1
1
2
1
2
1
1
23
1
1
1
1
2
1
1
1
4
1
1
1
1
1
8
10
3
2
1
1
1
2
2
16
1
1
1
1
17
11
3
1
9
2
2
1
1
1
2
10
1
1
4
16
100
2
23
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
26
2
1
2
1
1
7
3
1
1
7
1
1
7
1
1
2
1
21
1
1
2
2
1
1
2
1
7
1
5
1
1
12
1
2
3
2
1
3
3
3
1
12
1
1
1
3
1
1
1
1
1
3
1
1
8
1
1
29
2
1
1
1
1
6
1
1
1
16
1
1
3
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
6
2
1
1
1
2
1
1
1
1
1
1
5
1
32
1
16
8
1
1
5
5
1
1
1
1
1
2
1
1
23
9
1
1
1
1
1
1
1
1
2
2
1
1
1
17
4
1
1
1
1
2
1
1
1
1
5
1
2
1
1
1
1
1
2
1
1
4
43
1
3
1
2
1
1
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
97
13
1
2
1
2
2
2
1
1
8
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
6
1
1
1
1
1
1
5
1
14
2
21
27
3
3
1
1
1
1
1
1
3
5
1
13
1
4
1
84
4
1
2
1
1
1
1
1
1
1
1
1
1
9
1
1
1
14
1
12
1
2
3
1
1
5
1
1
1
2
1
2
10
1
1
5
2
13
84
1
6
1
3
17
2
2
7
1
2
1
1
1
15
1
1
1
6
7
1
11
2
1
46
1
1
1
1
38
2
1
16
1
1
1
3
2
1
3
1
28
1
1
1
1
1
1
2
1
1
2
1
1
8
19
6
1
1
1
4
1
1
7
1
1
1
9
2
1
2
1
24
1
234
10
1
1
1
3
2
1
1
1
22
2
2
3
1
1
15
1
1
1
1
1
1
1
2
1
2
1
1
1
1
3
1
1
3
3
1
2
135
1
1
1
1
1
1
1
27
3
1
1
1
3
2
1
1
114
1
24
33
4
1
1
1
20
6
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
2
2
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
5
1
1
1
1
1
1
2
1
6
1
2
1
2
1
1
1
1
1
1
1
1
2
1
2
1
5
56
1
1
2
1
1
3
1
22
3
2
1
1
1
1
1
3
1
11
3
1
205
18
23
15
1
1
1
18
1
1
1
2
1
1
1
7
1
5
4
5
3
6
1
1
1
5
4
11
1
2
4
1
1
3
2
1
1
2
5
1
1
1
1
1
1
2
1
1
5
1
1
3
2
1
44
1
1
4
1
1
1
1
1
9
1
11
1
1
9
1
2
1
1
155
1
1
1
1
1
1
1
6
1
2
8
1
2
1
5
1
2
39
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
4
1
8
1
1
1
3
2
1
1
1
1
2
1
1
5
1
2
2
1
1
2
1
2
1
1
10
2
3
1
3
3
1
1
1
1
1
31
25
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
39
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
100
2
1
1
4
1
1
1
2
3
1
1
1
2
2
3
2
3
3
1
1
1
1
1
2
10
1
1
12
1
1
1
4
1
3
1
1
1
1
1
5
1
1
1
1
2
1
6
26
5
1
1
1
1
1
1
5
8
11
27
9
5
23
7
231
9
1
1
1
37
1
2
2
4
22
8
2
4
1
2
1
3
42
1
1
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
13
1
1
1
1
1
4
5
5
21
1
5
1
1
2
73
5
1
1
16
3
3
31
1
1
1
3
4
2
129
1
32
2
1
3
1
1
10
3
4
1
1
2
1
1
1
2
1
1
3
15
1
1
1
1
2
1
1
9
2
18
8
3
5
4
1
1
5
2
2
1
2
1
2
5
2
1
6
1
1
6
1
1
1
1
1
1
11
1
5
21
1
3
44
21
3
1
1
2
1
1
1
2
1
1
1
1
16
1
1
2
2
1
2
1
1
1
1
1
1
1
1
3
7
1
3
1
1
1
4
3
4
1
1
4
1
4
1
1
82
1
1
1
1
1
3
1
47
1
1
1
1
1
9
1
1
3
1
1
2
1
1
849
55
1
1
7
1
3
1
3
5
2
2
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
3
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
5
1
4
1
3
8
1
100
2
1
1
1
1
1
28
1
1
1
35
1
2
2
1
1
2
1
1
1
1
10
1
1
1
2
1
1
1
1
2
1
1
1
3
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
1
1
1
3
28
12
1
1
40
2
1
1
100
2
1
2
1
2
6
6
1
1
1
2
1
2
1
2
1
3
1
1
2
1
1
1
2
1
4
17
5
3
1
1
1
1
3
2
4
1
2
1
2
1
1
1
1
6
22
69
8
1
1
1
2
1
1
2
1
6
14
27
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
7
1
1
1
30
28
1
1
1
2
1
3
1
1
1
1
1
1
3
1
4
1
5
1
2
2
10
2
1
1
14
100
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
50
1
1
1
1
1
1
1
36
3
1
1
9
1
2
10
1
12
1
1
1
1
2
24
3
1
1
4
15
22
1
1
2
106
1
1
1
1
9
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
6
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
47
1
1
1
1
1
1
1
1
1
1
1
1
1
1
100
23
1
3
1
1
1
9
10
7
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
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
6
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
5
2
1
10
1
1
1
1
1
1
1
1
1
1
1
156
2
1
1
10
4
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
5
12
3
1
1
47
20
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
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
2
4
1
1
1
1
2
61
16
1
1
18
2
1
6
2
1
1
12
125
16
33
1
1
1
54
1
1
4
1
1
1
1
1
1
16
6
3
1
1
1
6
1
1
1
3
2
1
1
22
1
1
1
1
11
1
1
6
1
10
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
3
1
109
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
15
1
1
7
2
1
1
1
1
1
1
1
8
1
1
1
23
1
1
1
100
2
3
1
1
1
9
2
1
9
12
26
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
13
4
1
1
1
1
1
1
12
2
1
1
2
1
2
7
1
3
3
1
1
1
1
1
1
1
1
14
1
3
6
1
1
1
1
1
1
1
1
2
2
2
2
1
9
4
2
1
8
1
1
1
1
1
1
7
1
4
6
8
7
2
2
2
3
26
1
2
3
1
2
1
1
1
2
1
3
1
1
13
2
8
2
1
2
1
2
1
1
1
1
5
5
1
1
4
7
1
1
129
1
1
4
15
1
172
1
1
23
1
1
43
1
1
1
4
1
4
1
1
2
1
1
1
1
1
1
1
1
23
3
1
3
1
1
2
3
1
5
1
2
3
1
147
1
7
1
43
2
16
2
1
4
2
1
3
3
3
1
8
15
21
6
97
3
1
1
4
1
2
1
2
1
2
23
4
3
1
12
4
4
21
17
37
10
2
1
1
1
9
1
1
4
21
2
3
6
21
1
3
2
1
1
1
1
1
1
25
1
1
2
12
8
4
1
4
3
1
1
1
1
1
4
1
2
1
2
1
1
1
1
1
1
1
2
8
15
27
16
51
45
26
2
2
1
1
5
1
1
1
151
1
1
1
1
1
1
13
14
14
9
1
7
1
1
1
1
6
2
1
1
1
1
1
1
1
2
1
1
6
3
1
1
1
1
1
1
80
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
2
2
2
1
1
1
1
2
1
2
14
2
1
5
2
8
1
1
1
3
1
10
2
1
7
5
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
2
39
1
1
1
1
5
1
3
1
100
1
1
1
1
8
1
4
1
1
1
2
1
1
3
210
2
1
1
1
1
1
1
1
1
1
1
1
1
10
1
3
1
1
1
1
1
1
16
4
3
1
1
2
2
1
1
3
1
32
1
20
1
1
1
2
1
1
2
1
22
11
1
1
1
2
2
1
3
2
3
1
8
2
1
6
21
1
1
1
2
1
1
1
11
1
1
1
1
8
18
1
1
1
1
20
1
3
1
2
1
4
125
1
1
1
2
79
4
1
1
3
3
1
1
2
1
6
4
1
2
1
2
1
7
4
1
2
4
4
14
1
34
12
7
2
1
1
2
1
1
1
10
4
5
1
2
1
1
1
1
26
46
2
5
3
2
8
1
32
1
1
1
1
1
1
1
1
1
56
4
5
3
4
1
1
4
1
1
1
1
1
1
1
3
14
2
2
1
3
1
1
9
3
1
3
1
2
6
3
1
1
1
1
1
1
1
1
44
1
1
1
1
1
1
1
1
1
1
1
1
1
1
51
1
1
1
1
1
1
1
69
3
1
1
1
1
1
1
5
1
12
1
2
1
1
1
1
1
1
1
2
1
1
1
1
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
1
1
1
1
6
27
24
1
1
1
1
1
23
39
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
4
1
1
1
1
1
2
1
1
1
4
2
1
1
1
5
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
40
14
2
1
1
2
1
3
4
93
3
1
3
26
1
3
1
1
2
35
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
8
4
21
1
3
1
1
1
10
2
4
2
2
43
1
1
6
2
1
38
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
8
3
1
5
2
2
1
1
1
1
1
5
5
8
1
1
1
1
8
2
9
1
9
10
1
4
1
6
6
9
1
1
1
2
1
2
1
1
1
1
1
9
1
1
3
3
1
1
1
1
1
1
1
9
1
2
1
1
2
26
1
1
1
2
4
33
1
1
32
3
1
1
1
5
4
4
1
1
1
1
23
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
3
1
2
6
1
1
1
11
2
1
1
1
2
1
1
1
3
1
4
15
4
3
2
1
1
1
4
1
17
1
1
5
1
1
1
2
1
1
1
1
1
17
1
3
5
1
1
2
10
1
10
1
1
34
1
3
1
1
2
5
3
4
6
4
1
1
2
3
2
3
1
3
1
8
2
1
1
1
2
1
1
1
1
6
9
13
2
8
1
2
1
1
10
11
1
1
1
1
7
2
12
119
3
4
1
2
2
1
1
1
1
1
1
1
1
1
1
1
4
4
1
2
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
5
5
4
1
1
1
7
9
7
3
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
8
1
90
17
5
3
1
6
12
1
1
1
1
1
2
1
1
28
1
2
1
1
1
5
1
23
2
1
1
1
1
1
10
3
3
2
11
7
1
1
1
2
1
1
2
1
1
31
2
1
6
1
1
1
1
5
2
9
35
3
1
6
1
1
1
1
3
5
5
1
1
12
7
1
8
8
1
21
26
3
6
1
1
1
3
2
1
9
6
3
1
1
5
3
1
1
1
1
1
2
4
6
9
5
5
4
2
30
4
1
1
1
1
1
2
1
3
2
5
1
1
1
1
1
1
1
1
1
1
1
4
18
5
2
2
61
7
26
97
1
1
1
1
39
1
2
1
6
1
1
1
1
3
1
11
1
4
1
1
1
3
2
2
1
3
10
1
5
1
1
1
1
2
1
6
25
2
15
1
7
1
1
1
1
2
1
2
1
1
3
1
1
8
3
1
1
1
28
235
1
3
2
9
1
1
4
1
1
1
1
7
1
1
2
1
1
3
1
1
2
1
10
2
1
9
1
1
1
3
10
5
1
1
1
1
11
1
4
1
1
1
2
1
4
8
95
225
2
1
1
1
2
2
1
1
3
1
1
1
4
1
4
1
2
3
5
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
5
3
1
1
1
1
1
2
1
1
1
1
1
11
1
1
17
1
2
2
1
1
1
2
1
5
7
1
15
3
2
5
2
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
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
3
1
1
2
1
1
1
1
1
4
32
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
13
2
1
1
1
4
1
2
1
1
1
7
1
1
1
1
2
1
1
1
1
1
1
1
62
1
1
1
3
5
4
1
3
1
1
1
4
2
2
1
2
1
1
2
3
1
3
1
1
1
4
2
1
1
23
2
5
1
1
1
1
1
1
1
7
1
1
8
2
1
1
1
1
1
1
1
3
1
2
1
1
2
2
1
1
3
1
367
1
1
2
1
1
4
6
1
1
1
2
2
1
6
1
1
1
1
1
9
1
1
11
6
4
2
1
2
4
11
1
1
1
6
2
23
3
2
12
18
9
1
1
2
1
4
2
1
1
8
105
1
1
1
1
1
3
3
1
2
15
1
1
1
1
1
6
3
77
1
1
4
9
1
1
5
4
1
1
6
1
2
3
11
1
2
6
1
1
3
2
84
16
5
2
1
9
1
14
1
1
1
2
1
4
65
1
1
3
1
5
3
1
1
1
1
2
1
1
1
62
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
10
1
2
1
1
3
13
1
1
6
1
1
1
3
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
1
1
1
1
1
4
2
6
1
1
2
1
1
1
1
1
2
1
1
16
1
1
1
1
1
2
18
2
1
1
1
2
42
3
1
1
9
1
1
1
1
3
3
25
4
1
1
1
17
47
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
34
1
1
1
3
1
3
31
1
1
2
80
1
1
1
1
1
3
1
1
1
5
69
34
1
1
1
1
1
28
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
3
6
1
2
3
1
1
1
1
1
1
1
1
7
6
1
1
23
1
1
1
4
19
1
8
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
5
21
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
100
1
2
1
7
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
2
2
1
2
1
1
1
2
1
2
9
1
1
1
1
1
1
1
59
1
1
1
1
3
5
1
1
11
23
3
2
2
3
1
4
5
4
1
1
1
8
4
3
1
1
1
4
2
3
9
1
2
10
1
15
4
9
4
30
7
1
1
2
1
1
12
2
1
1
6
21
2
1
53
1
22
1
1
3
275
1
1
1
1
1
1
1
5
5
1
2
2
40
3
3
1
3
2
4
2
50
1
1
1
1
1
94
1
1
1
7
1
2
1
1
18
2
1
1
1
1
3
1
1
4
1
2
1
9
11
3
22
3
1
1
1
1
2
1
7
1
14
16
1
1
1
1
2
1
1
1
5
1
3
3
5
1
3
1
1
1
1
1
4
2
1
1
1
1
1
2
1
1
36
100
57
12
2
1
1
1
2
1
1
1
1
5
1
1
1
1
1
51
1
1
51
1
1
1
1
13
3
1
1
1
7
6
26
6
14
2
1
2
1
1
8
1
1
1
1
1
72
4
1
1
1
2
2
2
1
2
2
1
13
1
1
1
1
6
1
1
1
1
1
1
5
1
2
7
1
1
1
3
1
1
1
1
2
9
7
17
4
1
1
1
1
1
33
3
44
3
3
1
3
1
1
2
7
14
1
1
1
11
8
2
63
9
1
1
1
1
1
1
1
3
15
2
1
1
1
1
1
1
1
1
1
1
1
1
6
2
2
2
11
2
2
1
3
1
2
12
1
1
47
1
1
1
1
1
1
1
2
1
1
1
1
1
64
1
1
3
1
1
1
6
4
5
1
3
1
1
1
1
1
1
1
1
1
38
27
9
3
4
19
37
62
1
32
1
1
3
1
1
2
1
1
1
1
5
6
1
3
1
3
4
2
1
1
1
1
2
1
1
4
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
56
2
1
1
1
3
6
1
10
1
38
19
1
1
1
1
10
1
17
1
3
2
18
1
1
3
1
1
2
2
1
1
1
1
1
2
1
1
2
13
11
17
3
5
1
1
1
1
1
2
1
30
2
1
1
1
3
1
1
1
3
2
1
1
1
1
2
14
1
1
1
3
26
1
4
3
1
7
1
2
1
1
19
1
3
1
5
3
12
1
3
4
6
1
4
3
2
1
1
1
3
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
101
1
5
7
2
9
1
3
4
1
2
1
50
1
1
1
1
1
1
1
1
1
8
7
1
1
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
2
3
1
1
1
1
1
2
81
19
1
1
3
1
1
1
2
1
10
23
1
2
1
1
1
1
1
1
1
6
1
6
1
2
1
6
1
4
1
23
3
3
1
2
2
1
11
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
3
1
1
1
1
6
1
22
6
25
12
1
5
1
1
1
1
2
2
1
1
1
2
29
1
1
2
1
1
1
1
25
2
1
8
42
2
2
3
2
1
10
1
2
1
1
3
1
1
1
19
1
9
2
1
1
1
1
1
5
1
1
26
3
1
3
18
2
2
1
2
8
1
1
2
2
1
2
1
19
5
5
1
3
1
2
7
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
2
1
3
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
66
1
1
100
2
2
1
1
1
1
1
1
1
1
23
1
2
5
1
1
3
1
1
2
1
1
1
1
88
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
2
2
3
1
1
1
287
1
1
1
2
1
1
1
1
1
1
3
3
2
1
1
1
1
2
1
3
5
1
2
2
1
1
4
1
1
19
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
3
4
16
2
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
1
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
49
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
3
6
1
2
1
1
1
1
1
1
1
1
80
1
2
2
1
1
1
1
1
1
1
1
1
107
2
6
5
1
1
4
1
9
4
1
1
1
1
2
1
1
1
321
2
1
1
1
1
1
1
2
4
1
22
1
14
9
2
1
2
1
1
1
1
3
1
1
1
1
12
1
2
1
1
1
1
1
1
1
2
1
1
3
2
3
1
1
17
1
1
30
1
1
4
3
1
1
1
1
1
1
4
1
1
1
1
1
9
2
1
1
1
3
1
1
30
1
2
1
2
8
3
2
1
1
1
1
1
2
1
61
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
9
126
6
3
8
1
1
1
3
1
1
2
1
1
5
2
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
4
1
3
1
1
1
18
41
2
1
40
2
1
1
1
22
1
1
2
2
19
1
1
1
2
1
3
28
1
1
1
4
1
2
5
9
1
1
1
1
1
1
1
1
2
1
2
1
2
2
15
98
4
1
3
20
1
13
1
1
1
4
1
17
2
5
1
3
1
1
1
1
14
2
1
1
13
5
1
1
3
1
1
1
1
1
1
1
7
1
1
3
1
1
2
2
9
1
1
2
1
1
2
1
1
6
1
1
2
4
27
120
1
1
157
1
1
1
3
17
1
1
1
1
1
3
4
10
2
2
5
2
1
6
1
4
3
1
5
1
12
1
1
1
1
1
6
1
1
1
7
1
67
1
1
1
1
1
1
1
1
1
1
1
2
10
1
7
3
1
1
1
1
2
1
1
1
194
2
2
481
1
22
2
2
3
1
4
1
4
1
100
3
1
1
8
27
1
2
1
1
1
2
1
1
1
1
10
1
1
1
1
3
1
1
1
1
1
1
13
1
1
1
8
4
1
1
1
1
2
3
1
1
1
1
1
1
1
90
1
3
1
1
2
1
1
4
3
28
1
5
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
1
4
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
37
35
4
1
2
1
2
1
1
1
6
1
1
1
9
5
1
5
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
1
2
6
5
1
1
1
1
1
1
1
1
1
1
1
3
1
11
2
1
5
24
1
2
2
1
1
1
1
1
1
1
1
4
6
5
1
6
2
2
19
1
1
1
1
1
2
3
1
2
1
3
1
1
2
1
3
1
1
1
1
35
1
1
1
1
1
10
28
2
1
1
1
1
1
1
1
1
2
1
1
1
3
10
2
1
18
3
5
1
1
57
5
463
7
3
3
3
3
2
1
1
1
1
1
2
1
1
7
1
4
30
3
1
1
2
1
11
12
1
1
1
1
4
100
2
9
5
1
5
2
3
1
1
22
1
1
16
2
3
1
3
2
20
67
1
6
1
2
1
1
1
1
1
7
3
1
2
1
1
2
1
1
1
1
3
2
1
9
32
1
1
1
1
1
1
4
14
288
1
4
6
2
1
93
23
3
1
1
5
10
7
3
1
1
14
1
1
9
1
16
1
1
11
1
50
1
6
4
1
1
3
38
6
1
2
1
2
2
1
3
1
2
2
16
3
1
5
3
1
1
28
1
31
1
1
1
2
336
154
8
1
2
5
10
1
3
2
1
3
1
2
2
1
1
1
1
1
2
1
2
2
1
6
9
1
1
16
5
1
5
3
10
2
5
3
2
1
2
2
1
1
1
1
1
1
2
1
1
1
397
10
18
4
23
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
