8
1
1
1
11
10
4
4
2
2
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
5
5
3
13
10
3
11
1
3
4
8
1
6
5
1
1
50
19
2
1
1
2
3
46
1
1
2
2
1
1
1
2
1
1
1
1
2
2
4
2
1
7
1
3
7
2
3
1
1
1
106
76
1
1
1
1
1
1
1
8
1
1
1
1
1
13
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
19
1
1
2
1
1
1
1
3
3
1
1
14
2
1
1
1
1
7
1
1
1
3
1
1
1
3
1
2
1
13
1
1
1
1
1
18
7
1
1
1
1
1
1
1
1
2
16
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
1
1
1
1
1
1
4
1
1
1
1
5
1
5
1
1
1
1
1
1
15
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
6
2
1
9
8
2
3
1
10
9
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
37
1
5
1
1
6
1
1
5
1
1
1
1
1
1
41
38
2
1
1
1
1
8
1
1
34
1
1
2
1
1
1
5
7
51
2
1
4
19
13
2
13
17
1
2
1
1
10
10
2
1
2
1
2
1
3
2
2
33
11
1
2
1
1
6
4
1
1
2
2
3
2
1
3
1
1
1
6
7
3
1
1
25
1
3
7
1
1
1
1
1
1
1
1
1
1
1
33
1
1
1
1
1
2
1
1
1
3
3
5
6
1
1
1
1
1
1
5
4
2
1
8
5
1
2
1
6
3
2
1
1
1
20
1
11
1
1
1
1
1
1
1
2
18
22
2
1
1
1
1
1
1
1
1
2
1
1
4
99
1
3
2
5
1
2
5
1
1
1
1
1
11
6
1
5
8
5
7
1
42
8
14
1
1
1
1
1
1
1
1
1
5
1
1
1
1
4
44
2
1
2
2
1
3
3
4
1
5
7
9
1
2
9
10
19
13
1
1
1
2
2
1
1
1
2
1
1
1
1
3
4
1
1
1
4
2
1
1
25
1
2
1
1
2
6
1
1
1
17
1
4
4
1
1
16
41
44
2
1
1
1
1
1
38
30
1
1
1
1
1
1
10
9
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
3
2
1
4
3
2
1
1
1
1
1
5
3
2
1
1
1
1
2
2
3
1
1
1
1
1
1
1
6
2
7
24
8
10
1
1
3
1
6
4
2
3
6
1
1
1
1
1
1
1
2
13
1
1
1
32
2
1
4
4
1
1
2
1
1
1
1
1
2
8
20
1
1
1
1
52
5
8
3
7
1
1
11
1
1
1
2
2
2
1
1
1
1
1
1
1
1
9
1
4
2
1
4
4
1
1
1
2
3
2
1
1
7
1
1
1
1
1
1
1
2
7
14
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
2
34
1
7
2
1
1
1
1
1
1
1
1
19
1
1
5
4
1
1
1
11
10
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
43
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
4
1
1
6
1
1
85
1
1
1
1
1
1
1
15
1
8
13
1
1
1
1
1
1
3
1
41
1
1
3
3
2
1
34
2
4
3
1
6
3
2
1
1
1
1
28
25
5
8
1
1
1
1
1
2
1
1
5
1
4
1
2
17
3
1
1
1
1
1
1
5
1
1
35
11
4
1
1
5
1
1
1
1
1
1
1
5
1
8
2
1
1
12
11
1
1
3
1
5
12
6
11
3
1
1
1
2
1
11
9
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
12
8
6
2
2
4
4
1
1
17
12
2
2
31
1
18
3
1
1
7
1
1
1
1
1
2
1
4
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
23
13
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
2
1
1
10
4
1
1
2
1
1
1
1
23
1
1
10
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
7
6
5
1
1
1
1
2
2
4
2
2
1
2
1
2
1
1
1
1
23
1
1
1
5
3
1
1
1
1
5
1
2
1
1
1
1
1
1
18
6
1
3
3
1
3
2
1
1
1
2
3
1
8
1
1
6
4
5
2
1
1
1
1
1
1
1
1
9
1
3
1
28
1
1
16
6
8
1
1
2
8
1
1
2
2
2
10
8
21
21
20
5
1
3
30
27
1
4
2
1
1
1
1
5
2
2
1
2
1
7
1
1
1
2
1
1
12
2
2
2
1
1
1
5
1
1
1
2
1
2
1
1
1
5
1
1
2
20
1
2
1
1
42
1
4
1
11
14
6
1
1
5
4
2
1
1
1
1
19
21
13
2
3
1
1
10
1
1
1
1
1
1
1
1
1
1
2
1
1
13
11
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
7
4
1
1
2
1
31
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
21
1
5
6
1
9
2
1
1
4
2
2
2
2
1
7
8
2
1
19
14
1
1
1
1
1
1
1
1
1
14
1
1
2
1
4
3
8
17
20
1
1
1
1
1
14
28
31
1
1
1
1
1
1
32
4
1
1
1
10
2
12
3
1
1
4
1
1
1
1
1
1
16
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
2
3
3
3
2
1
1
1
1
2
1
1
1
4
1
3
6
2
2
1
1
1
1
1
1
1
5
1
6
1
1
1
1
1
8
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
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
3
2
1
1
2
12
6
2
2
1
1
1
1
1
1
1
1
1
1
9
2
2
4
4
1
4
3
1
6
3
1
1
3
1
2
1
1
3
1
1
1
1
1
2
1
5
4
1
1
1
1
1
6
6
1
1
1
18
1
11
1
1
4
1
11
17
1
1
1
1
1
7
8
1
1
1
3
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
1
15
1
3
1
1
1
1
1
1
19
1
1
1
5
4
1
10
1
6
1
3
7
1
1
1
1
1
5
12
8
11
10
3
4
1
5
136
11
4
1
1
1
1
1
1
1
1
2
2
3
3
8
1
1
1
1
4
1
2
3
2
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
10
7
1
4
1
12
1
2
1
17
3
5
1
1
1
8
1
1
2
35
3
1
2
1
1
1
1
2
24
2
1
1
1
1
1
5
10
1
1
1
4
1
1
1
1
6
3
1
19
5
1
37
3
1
1
1
11
2
47
2
3
3
2
1
2
3
1
1
1
2
25
1
5
1
1
2
3
2
1
1
1
1
1
24
26
1
2
3
1
1
1
1
1
1
4
1
1
1
1
1
1
11
14
1
1
23
1
5
5
2
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
2
2
1
1
10
8
1
1
4
1
1
1
1
9
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
27
1
4
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
63
3
1
1
1
2
3
39
10
4
7
1
1
1
1
1
38
1
1
1
1
1
1
1
2
1
1
3
1
1
5
1
1
1
1
2
2
2
1
1
1
11
15
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
4
8
1
1
1
1
1
1
1
2
23
1
26
1
3
2
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
2
5
16
3
1
2
1
1
4
7
7
1
1
1
1
1
1
7
2
2
1
27
5
8
8
3
2
2
4
1
1
1
2
1
1
1
1
1
18
1
1
5
1
1
1
1
1
1
1
1
5
2
1
9
1
1
1
5
2
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
5
10
3
1
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
13
1
2
5
1
1
1
1
1
1
1
9
1
6
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
6
1
1
1
1
1
1
2
1
2
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
3
4
1
10
39
1
1
1
3
7
12
7
1
1
1
10
6
4
1
5
3
1
1
18
6
9
1
1
1
6
3
4
1
9
1
1
1
1
6
1
1
1
2
38
64
41
1
1
1
2
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
2
1
1
1
1
1
17
13
1
1
4
2
1
1
1
1
1
7
5
3
1
9
3
4
15
26
1
1
1
1
2
43
34
1
1
2
8
1
1
1
23
1
1
3
1
2
1
1
1
4
1
2
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
3
46
1
1
3
1
3
1
3
8
1
2
2
2
3
1
1
8
8
1
7
2
1
6
38
6
3
18
22
24
4
3
1
3
4
1
1
1
1
1
2
1
2
2
1
1
22
2
1
1
1
1
1
9
16
3
1
1
10
1
1
3
40
44
2
17
1
3
3
1
15
1
1
3
1
1
19
13
1
2
2
1
1
1
2
1
1
1
11
56
1
2
3
2
2
3
3
1
1
1
1
29
1
1
1
1
1
1
1
2
15
1
1
1
2
1
14
12
1
1
3
2
1
1
1
1
12
2
1
1
1
23
19
51
12
5
5
1
1
2
3
2
2
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
3
11
17
1
5
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
135
1
1
1
1
1
2
1
3
2
1
3
1
1
1
1
1
1
1
7
1
16
1
3
2
3
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
2
1
4
1
1
1
19
1
1
2
1
1
5
2
1
2
1
1
4
1
1
3
2
4
28
1
1
1
1
1
1
2
1
1
3
35
3
1
8
5
1
2
1
1
1
1
1
1
3
16
2
1
3
1
1
2
1
2
1
1
1
1
9
1
1
13
2
1
1
1
2
1
1
1
1
1
1
14
2
1
1
4
6
1
1
1
1
6
13
3
1
1
1
1
1
10
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
4
20
18
1
1
11
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
6
14
1
1
9
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
2
1
1
1
1
1
2
2
1
1
1
3
3
1
1
1
1
1
1
1
1
4
2
7
6
5
1
1
1
1
1
1
1
11
1
2
1
3
1
1
7
1
1
1
4
1
1
3
1
1
1
1
1
1
1
2
2
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
1
1
1
1
2
2
1
3
4
30
37
1
1
1
1
1
1
1
4
1
16
2
2
1
1
1
1
4
12
1
1
2
11
1
1
1
1
1
6
1
7
4
2
2
1
36
1
1
1
1
8
1
2
1
1
4
3
1
1
2
1
75
1
1
1
3
1
1
1
1
2
2
7
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
29
1
19
1
1
1
1
1
1
1
1
33
2
5
1
1
1
1
1
3
3
1
2
1
1
1
4
1
1
12
1
1
1
1
1
1
1
1
2
6
1
2
1
1
11
1
1
1
1
10
1
2
70
64
1
1
34
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
6
9
9
5
1
1
1
1
3
3
5
3
1
3
5
3
1
8
3
2
2
1
1
1
1
1
11
16
16
1
1
1
1
4
5
4
23
1
1
1
5
3
30
1
1
2
1
8
5
7
3
2
1
1
9
1
1
1
3
6
1
1
1
1
1
1
1
3
1
1
26
1
1
1
1
1
1
1
1
1
1
1
11
1
1
3
1
3
1
2
1
1
11
1
1
1
1
1
1
8
1
1
4
2
18
1
1
2
2
4
1
1
5
1
1
10
13
1
1
12
1
2
1
6
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
8
24
39
1
2
1
14
7
5
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
20
18
1
2
2
2
1
1
2
15
1
1
1
8
5
2
1
1
1
1
1
1
5
2
1
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
6
4
1
9
1
14
1
1
1
1
1
1
1
1
1
4
1
1
87
70
2
2
1
4
1
2
7
1
1
2
1
1
2
9
1
1
1
1
7
2
2
2
1
1
2
1
3
1
1
1
13
3
1
1
5
7
2
3
1
1
5
2
1
1
4
1
6
8
2
5
12
11
11
2
1
1
4
2
1
15
3
1
24
1
1
1
1
1
1
15
12
1
2
1
10
12
1
8
10
2
1
2
2
2
1
1
3
4
1
3
4
1
1
26
30
4
23
3
4
9
1
1
1
17
12
3
8
2
1
1
1
7
20
1
1
3
1
1
2
1
1
5
8
9
6
1
1
5
4
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
57
1
14
1
1
1
1
3
8
1
1
1
7
1
1
1
3
11
8
1
3
1
1
1
9
1
1
2
2
1
11
18
1
1
1
1
1
1
1
1
2
7
5
2
9
6
1
1
3
47
1
8
1
2
2
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
11
1
1
52
1
32
1
1
37
32
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
19
23
1
9
1
1
2
1
3
1
1
1
1
8
4
1
1
1
5
4
1
1
3
13
8
3
1
1
1
60
1
8
1
16
1
1
1
4
1
1
6
8
1
5
8
2
5
1
3
4
1
3
1
117
13
10
2
2
1
1
39
1
1
1
2
1
1
1
1
1
1
6
2
1
1
1
29
1
1
1
1
9
3
1
1
6
35
3
28
22
48
1
1
1
1
1
1
3
1
6
2
3
3
2
6
8
10
3
3
1
6
4
1
10
6
1
1
1
2
1
6
8
4
1
8
3
2
1
4
1
1
1
1
1
1
1
1
4
1
1
1
1
22
22
1
1
1
1
1
1
1
4
2
8
8
1
2
2
10
4
1
1
1
1
1
1
1
2
4
1
2
29
1
1
1
4
1
1
2
1
1
2
1
1
1
1
1
2
2
2
1
1
13
1
1
1
1
1
49
1
1
12
9
1
10
7
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
12
10
2
3
1
1
2
28
5
3
4
1
1
1
10
18
28
2
1
3
1
2
1
1
9
6
1
1
1
11
6
24
4
2
1
1
1
1
1
1
1
40
22
31
1
3
1
6
1
7
3
3
3
1
6
1
4
1
12
1
6
7
10
3
1
1
1
2
1
1
2
6
2
2
3
1
2
1
17
3
1
3
1
1
1
1
10
26
2
3
1
1
1
1
1
1
1
3
2
1
10
7
4
2
5
4
3
24
1
9
10
7
4
1
2
1
2
1
1
1
1
13
6
4
1
1
2
4
4
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
5
7
1
1
2
1
1
1
3
4
1
1
2
1
2
3
1
1
1
9
1
1
4
2
1
1
1
1
1
6
3
1
4
1
5
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
7
2
14
6
12
10
8
7
1
2
2
1
1
1
1
1
14
9
1
1
12
2
5
2
2
3
1
2
1
17
7
12
9
34
42
2
2
2
5
4
1
1
3
1
1
1
1
1
1
1
8
1
1
1
6
1
1
1
5
1
3
9
1
1
9
9
1
9
39
24
1
3
1
3
1
1
37
2
1
1
1
1
269
1
18
21
1
3
1
1
1
1
1
1
7
1
1
17
10
1
1
1
7
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
5
1
1
13
14
1
2
1
1
4
1
4
1
2
1
1
1
2
1
1
1
1
1
4
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
5
2
1
3
2
2
2
1
1
1
1
4
1
1
1
2
1
1
1
1
11
1
2
1
1
1
1
1
1
1
1
1
9
3
1
27
1
1
3
1
1
1
8
31
27
1
1
7
12
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
6
3
1
1
1
1
5
21
2
2
1
1
3
1
3
2
1
35
1
1
1
1
1
1
1
1
4
1
3
5
1
8
1
1
1
11
23
1
1
14
2
4
1
3
1
1
1
1
8
1
1
1
1
18
1
1
1
1
1
16
16
3
1
1
4
4
1
2
3
3
25
19
18
3
1
1
1
23
1
3
1
1
1
1
148
7
1
1
2
2
3
4
5
5
1
1
2
1
1
1
1
1
3
9
7
1
1
37
1
1
1
1
1
2
1
14
1
17
12
1
5
1
4
1
106
4
5
1
2
3
8
30
31
67
1
1
1
1
1
1
4
1
1
1
3
1
1
2
1
1
8
2
2
5
2
1
1
1
26
15
3
1
1
6
1
1
1
18
21
20
1
54
54
430
4
12
12
11
1
1
1
1
5
1
5
1
20
1
1
1
1
18
3
2
1
14
1
1
4
1
1
1
2
1
1
1
1
1
2
1
31
133
2
2
1
1
1
1
6
1
1
1
8
6
2
1
2
1
1
1
2
5
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
9
5
6
1
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
6
1
1
1
13
14
1
1
1
6
4
6
1
2
3
3
5
1
1
1
1
1
13
1
1
1
2
2
1
1
20
29
1
4
1
3
6
1
1
1
1
1
5
1
2
2
1
1
709
1
26
25
1
6
2
26
21
1
1
11
9
4
1
2
1
8
10
42
4
1
3
4
1
44
19
1
11
5
5
1
5
5
1
3
4
1
2
1
1
1
6
1
2
1
2
1
1
1
7
1
2
1
1
45
40
466
2
3
4
20
3
1
1
1
20
18
1579
1
1
36
11
13
2
1
2
4
9
2
1
2
2
64
3
1
408
55
61
173
1
28
22
17
1
4
14
5
2
1
3
2
9
2
3
2
6
1
1
1
1
1
1
1
1
150
494
1
325
357
2
1
1
1
1
1
1
1
