8
1
1
1
9
8
2
3
6
1
1
2
2
1
1
18
1
1
1
1
1
1
1
1
1
1
2
1
3
2
10
4
3
1
12
12
3
12
1
2
3
11
1
6
4
1
1
1
1
1
48
17
2
1
1
1
2
3
52
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
4
4
2
10
1
3
4
2
7
3
4
1
93
61
1
1
1
1
1
7
1
1
1
1
1
1
13
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
20
2
1
1
1
2
4
4
1
1
14
1
1
1
1
3
11
1
1
1
3
2
1
1
1
2
1
16
1
1
1
18
9
1
1
1
1
1
3
1
12
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
18
1
2
1
1
1
1
1
1
1
1
1
1
2
6
1
7
2
1
9
8
1
2
6
1
12
10
1
1
1
1
1
4
1
1
1
2
3
1
1
1
1
1
36
1
4
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
40
1
42
2
1
1
1
1
15
26
1
1
1
1
1
1
6
7
40
1
1
3
12
12
2
13
17
1
2
1
3
12
10
1
1
2
1
3
1
2
1
5
23
12
1
2
1
1
7
4
1
1
2
2
3
4
1
3
1
1
2
6
7
3
1
30
2
1
3
1
1
7
2
1
1
1
1
1
1
2
40
1
1
1
1
3
1
1
1
3
7
7
1
1
1
1
1
1
1
1
4
5
3
1
1
8
5
6
1
2
1
1
1
19
1
13
1
4
15
20
3
1
1
1
1
1
1
1
1
1
1
1
1
3
97
1
1
1
3
2
4
1
1
1
1
5
1
1
13
9
1
1
6
8
1
1
7
9
8
15
1
2
1
1
5
1
1
1
4
47
5
1
2
2
1
1
2
3
4
11
8
1
2
10
14
18
8
1
1
2
2
1
1
1
2
1
1
1
1
5
4
1
2
1
1
7
1
1
1
2
1
1
34
1
2
1
1
1
2
5
1
1
1
1
16
1
3
4
1
1
17
46
43
2
1
1
1
1
26
23
1
1
1
1
7
8
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
2
1
1
2
2
7
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
6
3
6
30
7
10
1
2
1
1
3
4
3
2
9
1
1
1
1
4
18
1
36
1
1
6
1
4
2
1
1
1
1
1
1
1
3
1
13
10
1
1
1
1
77
6
7
3
7
1
1
11
1
1
2
2
1
2
2
1
1
1
1
1
1
1
19
1
1
1
1
4
3
1
1
2
2
1
1
1
5
1
1
1
1
2
1
1
1
1
2
6
2
1
7
14
1
1
1
1
1
1
1
1
2
1
39
1
9
1
4
1
1
1
1
1
1
2
1
1
19
1
1
9
6
1
1
1
1
1
15
13
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
51
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
5
1
1
1
1
1
81
1
1
1
1
1
1
1
15
1
8
13
1
1
1
1
1
1
3
1
38
1
1
3
4
1
30
1
6
4
2
14
1
3
2
1
1
1
1
41
1
27
8
6
1
1
1
2
1
2
1
1
1
5
1
5
1
1
16
3
1
1
1
1
1
1
1
1
9
1
42
3
5
1
1
4
1
1
1
1
6
1
9
2
1
12
11
1
6
3
3
2
5
12
6
11
4
3
1
3
1
11
10
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
13
9
6
4
2
4
4
1
18
8
2
2
33
18
2
3
2
1
7
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
23
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
7
1
1
2
1
1
1
1
27
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
11
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
10
7
5
1
2
1
7
1
1
1
4
2
2
2
1
1
1
1
1
25
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
21
5
1
3
2
1
2
1
2
3
1
12
9
5
5
2
1
1
1
1
1
1
1
1
7
1
1
1
2
29
1
2
1
22
5
9
1
1
2
1
11
1
1
3
1
9
6
27
22
15
5
2
31
22
1
3
4
2
1
1
1
1
4
2
2
1
1
1
1
1
5
1
1
1
2
1
1
1
9
2
2
2
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
2
6
1
1
1
22
1
1
1
1
40
5
7
1
11
15
1
8
1
1
5
1
1
1
1
20
22
27
5
3
1
1
1
10
1
1
1
1
1
1
1
1
1
1
11
9
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
11
1
3
1
2
2
40
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
5
5
7
2
1
1
4
1
3
5
1
7
6
3
18
12
1
1
1
1
1
1
1
1
1
1
2
14
1
2
1
4
2
9
18
19
1
1
2
1
1
10
28
31
1
1
1
1
3
1
38
3
1
1
1
1
11
2
15
6
1
1
9
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
3
1
2
6
4
5
1
1
1
1
1
2
2
2
2
1
1
4
6
2
2
1
1
1
1
1
7
1
1
2
4
1
1
1
1
1
7
1
1
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
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
13
7
2
1
1
1
1
1
1
1
9
2
2
1
4
4
2
2
3
3
1
5
2
2
2
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
5
4
1
6
7
1
22
1
8
1
4
1
7
10
1
1
1
5
4
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
15
2
1
1
1
1
1
1
1
1
1
22
1
5
6
1
10
1
7
1
1
1
1
1
1
1
1
1
8
13
4
13
11
3
5
1
1
5
142
8
3
2
2
1
1
1
1
1
2
2
4
3
10
2
1
1
4
1
1
1
2
2
2
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
8
7
5
9
1
3
1
1
1
17
3
5
1
12
3
1
1
1
2
38
3
1
1
1
1
1
1
1
2
26
1
2
1
1
1
1
5
9
1
1
1
1
1
3
2
1
7
3
23
3
1
38
5
1
1
6
2
47
1
3
3
3
1
2
1
1
1
1
1
28
1
1
1
3
2
1
1
1
2
23
26
2
1
1
1
1
1
2
4
1
1
1
1
1
1
10
11
2
19
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
3
1
10
8
3
1
1
8
1
1
1
10
3
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
28
5
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
66
5
1
1
2
3
40
6
4
5
1
1
1
1
1
42
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
2
1
1
12
15
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
5
11
2
1
1
1
1
1
1
1
1
2
2
23
1
26
4
1
1
1
1
1
1
2
1
1
11
1
1
1
1
1
1
1
1
1
1
5
1
22
1
1
1
4
7
10
1
1
1
2
1
1
9
2
23
3
4
10
8
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
18
1
4
1
1
1
1
1
1
1
3
1
6
1
1
3
6
1
1
1
1
4
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
12
3
1
2
1
1
1
10
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
11
1
2
1
1
2
1
1
1
1
1
1
1
1
1
6
7
1
1
1
2
1
2
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
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
2
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
3
4
1
8
33
1
3
7
13
8
1
1
12
6
3
1
3
4
1
1
23
6
8
1
1
8
3
5
1
10
1
1
5
1
1
1
1
43
64
44
1
1
1
1
1
2
1
1
1
1
1
1
1
10
10
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
2
12
12
1
4
2
1
1
1
1
7
5
4
1
8
4
3
1
14
26
1
1
1
1
1
1
1
44
34
1
1
6
1
24
6
3
1
1
1
1
3
2
2
2
2
1
6
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
4
48
1
1
1
3
1
3
7
1
2
3
3
1
1
8
9
1
11
2
1
12
30
6
4
16
19
32
5
5
1
3
5
1
1
1
1
1
1
1
1
1
26
2
2
1
10
1
17
1
3
1
1
11
1
1
2
40
41
1
17
1
3
3
1
1
20
1
1
2
1
1
1
12
11
1
2
2
1
1
1
1
17
57
4
1
2
1
1
1
1
32
1
1
1
1
1
1
1
1
4
23
1
1
1
1
1
13
11
1
3
2
1
1
1
1
11
2
1
1
1
18
17
1
54
12
5
5
1
1
1
2
1
1
3
1
1
2
2
16
1
1
1
1
1
1
1
1
3
11
17
1
4
1
5
6
1
1
1
1
1
1
1
1
1
1
1
147
1
1
1
1
1
1
2
3
8
1
1
1
1
1
2
1
7
20
1
2
5
2
2
2
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
5
1
1
14
1
1
2
1
1
2
2
1
1
5
1
1
3
2
1
4
29
1
1
2
1
1
5
36
2
1
10
5
1
2
1
1
1
3
15
1
4
1
2
1
1
1
1
1
13
2
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
14
1
1
1
3
6
1
1
1
9
8
2
1
1
1
1
1
1
1
10
1
1
19
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
2
1
1
1
1
1
1
1
3
20
19
1
1
1
14
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
7
18
1
1
7
1
1
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
4
1
1
1
1
1
3
3
6
6
6
1
1
1
1
2
1
13
2
1
1
1
7
2
1
2
1
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
2
2
4
7
29
36
1
2
1
1
1
1
1
1
1
1
5
1
1
17
3
1
1
1
1
1
4
10
2
3
9
1
2
1
1
7
2
8
4
2
2
36
1
1
1
1
8
1
1
1
1
1
1
5
3
3
2
1
1
84
1
2
1
3
4
1
1
1
2
2
9
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
29
19
1
1
1
1
1
1
1
1
1
39
1
7
1
1
1
5
2
2
3
1
6
1
1
7
1
1
1
2
1
1
1
1
1
1
2
9
1
1
1
1
1
7
1
1
70
64
1
33
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
6
9
8
5
1
1
1
3
3
4
9
4
5
3
9
3
1
1
1
5
1
1
1
14
16
17
1
1
1
1
4
5
4
1
25
1
1
1
8
6
33
1
1
1
1
4
8
3
3
2
1
1
10
1
1
1
1
2
5
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
1
8
1
1
2
1
2
1
3
1
1
13
1
2
1
1
1
1
13
1
1
1
1
4
1
22
1
1
1
2
2
2
1
1
4
1
11
15
1
1
7
1
1
8
3
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
7
1
1
1
7
35
17
1
2
1
14
9
7
2
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
2
1
1
18
19
1
1
1
1
1
2
1
19
1
1
5
4
3
1
1
1
1
1
8
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
3
3
9
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
89
77
3
2
8
1
2
1
7
1
1
1
1
1
1
10
1
1
1
1
3
2
2
2
1
1
2
1
3
1
1
13
7
1
1
1
6
9
1
1
2
1
1
8
1
2
1
1
2
2
1
6
7
2
6
1
1
15
17
19
2
1
3
2
19
30
1
1
1
1
1
1
14
9
1
2
4
11
1
8
1
11
1
2
1
2
2
1
1
1
1
1
2
2
4
4
1
37
25
2
15
2
2
4
1
1
1
1
7
5
3
7
4
1
10
33
1
1
4
1
1
1
3
1
1
1
1
3
8
7
8
1
5
4
1
1
1
1
9
1
1
1
1
1
1
2
1
1
3
4
1
3
1
1
1
54
1
1
1
15
2
1
1
4
13
2
1
8
1
1
2
1
3
7
6
3
1
1
1
1
11
1
1
1
1
3
2
1
11
10
1
1
1
1
1
2
1
2
6
5
8
6
1
1
3
51
8
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
1
3
1
13
1
1
1
1
1
35
1
37
32
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
20
13
1
2
1
1
1
1
2
1
4
1
4
6
1
1
1
1
1
1
1
1
10
8
2
1
1
2
14
8
1
1
41
1
9
1
16
1
1
4
1
1
1
1
3
6
6
5
1
2
8
2
5
2
3
1
1
48
12
11
2
1
1
31
1
1
1
2
1
1
1
1
1
1
1
6
2
1
24
2
1
1
1
9
1
3
32
2
28
21
58
1
1
1
1
2
1
3
1
2
3
2
2
8
9
10
3
3
1
1
7
4
1
8
10
2
1
1
1
2
1
7
3
1
4
3
2
1
3
1
1
1
1
1
6
1
1
1
1
1
22
25
1
1
1
1
1
1
1
2
1
9
11
1
3
3
9
5
1
1
1
1
1
1
1
1
1
1
1
5
1
36
35
3
4
1
2
1
4
2
1
1
2
1
3
1
1
1
11
1
1
1
1
1
1
54
1
1
13
9
1
13
4
1
1
4
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
12
10
1
1
1
1
37
1
3
4
1
1
1
12
19
22
3
1
6
1
1
1
8
5
1
1
1
13
5
21
3
2
1
2
1
1
1
1
43
21
27
1
1
3
1
9
8
6
3
3
2
7
1
4
2
12
1
8
9
12
6
1
1
1
1
2
1
1
2
7
2
1
2
1
1
17
3
2
3
1
1
1
1
1
9
17
4
3
1
1
2
1
1
1
1
2
3
3
2
10
5
1
4
2
5
4
2
30
1
1
9
7
8
5
1
1
1
1
2
1
1
1
1
11
6
4
1
1
2
3
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
8
8
1
1
1
1
2
2
1
4
1
4
1
1
1
11
1
1
3
1
1
1
1
1
1
1
1
7
4
1
1
1
6
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
7
3
2
14
7
10
10
8
8
2
3
1
1
1
1
1
19
11
1
1
14
4
5
2
1
4
3
1
2
1
11
7
1
11
9
1
30
34
1
2
2
2
1
5
4
1
1
7
1
1
1
1
3
1
1
1
1
8
1
1
1
1
5
1
1
1
1
2
2
4
9
1
1
9
9
1
1
8
42
22
5
1
3
1
37
2
1
1
1
1
1
269
1
1
18
21
1
1
4
1
1
1
1
1
1
1
10
2
1
17
10
1
1
6
1
1
1
1
1
1
1
5
1
4
1
1
1
1
1
1
1
1
1
1
1
11
3
1
14
12
2
1
5
14
1
1
2
1
1
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
5
2
1
3
1
2
1
2
1
1
3
1
2
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
9
6
1
27
1
2
2
1
1
1
1
9
34
27
1
1
11
10
2
1
1
1
1
1
1
1
1
2
1
1
1
1
6
4
1
1
1
1
4
19
1
2
1
1
4
1
3
1
52
1
1
1
1
1
2
1
1
7
3
6
1
5
1
1
11
1
18
1
1
14
2
1
3
2
2
1
1
1
1
1
10
1
1
17
1
1
1
1
16
16
3
5
3
1
2
1
1
6
25
18
17
3
1
1
1
1
27
1
3
1
1
1
1
1
1
1
153
7
1
1
2
1
3
4
1
2
1
5
1
2
1
1
1
5
9
8
2
1
36
1
1
1
1
3
1
1
16
1
13
7
1
5
2
1
4
1
94
1
1
4
5
2
2
9
36
30
63
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
4
4
2
4
2
1
1
1
1
1
16
27
3
2
1
1
1
13
12
15
1
49
47
443
6
12
12
12
2
1
1
5
1
6
1
1
20
1
1
1
1
1
1
18
5
2
1
1
12
1
1
1
4
1
2
1
1
1
1
1
2
2
1
36
145
2
1
1
1
1
1
6
1
1
8
1
5
2
1
1
1
1
1
2
2
2
1
1
3
1
1
1
1
1
1
1
1
10
5
6
1
1
1
12
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
4
1
1
6
1
13
12
1
1
6
4
6
1
1
3
2
5
1
1
1
1
1
11
1
1
2
2
1
21
38
5
2
7
1
1
1
1
8
1
2
2
1
1
1
1
884
14
21
1
6
2
30
18
1
7
7
3
3
7
1
6
4
45
4
3
3
5
1
36
19
1
1
1
6
6
5
2
4
1
3
1
6
4
1
1
2
1
7
1
1
1
1
1
2
1
1
1
3
1
3
50
44
406
3
6
3
21
3
2
22
17
1524
1
3
1
36
14
14
1
2
2
2
4
3
1
2
1
1
1
50
3
1
418
61
57
182
1
1
28
22
10
1
4
13
5
2
1
3
2
12
2
3
1
2
1
8
1
1
1
1
1
1
1
159
568
1
314
335
2
1
1
1
