1
5
1
1
4
1
6
1
4
7
1
3
2
1
2
1
2
1
11
1
4
5
3
1
1
1
4
6
7
1
1
1
1
10
2
2
2
1
2
6
1
1
1
1
14
1
7
5
1
9
10
4
7
1
1
11
4
4
1
5
2
1
2
1
1
1
2
46
16
5
5
10
4
5
2
2
3
1
13
3
1
3
3
1
3
2
1
1
1
3
1
1
1
1
8
1
1
1
2
1
1
1
4
1
1
3
1
2
1
1
1
1
2
3
1
1
1
3
1
7
8
4
1
2
5
1
1
5
1
4
2
2
1
60
53
42
2
1
1
2
1
1
1
1
2
4
3
2
7
1
1
2
1
1
1
1
1
1
1
1
2
1
10
9
2
2
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
2
3
1
1
1
1
10
2
1
1
1
1
1
1
1
1
1
1
2
1
1
17
4
13
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
1
2
1
5
1
12
1
6
1
1
1
1
1
1
2
4
2
5
2
1
1
1
1
2
2
4
1
2
2
1
8
6
1
1
28
1
7
2
1
1
1
1
6
1
6
6
1
1
1
1
3
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
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
4
5
2
1
1
1
1
2
1
1
2
1
1
3
1
1
11
1
1
16
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
3
2
1
4
8
1
1
2
1
1
1
33
1
1
1
1
2
1
11
13
22
2
1
1
1
12
1
1
1
3
10
4
1
1
4
4
1
1
1
1
8
1
1
2
2
2
1
3
1
1
6
1
1
2
1
4
1
2
2
23
1
23
1
1
1
1
4
3
1
1
1
1
2
2
1
2
1
1
1
1
1
16
1
1
2
2
1
6
1
1
1
2
3
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
6
5
1
6
9
4
2
1
1
1
1
1
1
1
1
6
12
1
2
5
2
3
3
1
1
15
22
17
3
1
1
1
1
43
1
2
1
3
1
1
3
6
1
1
1
1
1
3
1
1
13
6
5
5
2
1
1
2
1
7
6
1
38
1
1
15
15
7
16
5
2
8
8
4
7
1
1
1
4
5
1
1
3
1
1
4
4
3
2
2
1
1
1
1
2
4
2
1
11
23
1
1
4
1
23
1
5
5
9
8
8
4
2
40
2
1
4
5
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
4
6
1
16
1
1
2
1
2
11
1
5
1
2
1
5
1
7
4
1
4
1
4
1
1
1
1
3
1
1
1
1
1
2
1
1
7
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
4
1
1
8
1
1
3
3
3
1
5
1
1
1
2
1
1
3
1
8
8
1
1
4
1
1
4
1
1
1
1
1
1
1
4
1
1
1
4
4
1
1
1
1
1
1
1
1
2
1
4
4
15
13
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
87
1
1
2
1
6
22
4
3
1
8
8
4
3
1
1
7
7
9
1
1
2
2
108
1
2
5
2
1
2
2
1
8
1
8
1
2
2
1
1
1
1
2
3
4
1
1
1
1
1
4
1
1
4
1
3
2
2
1
1
9
1
1
1
1
8
1
3
1
1
3
6
1
2
3
4
14
14
1
4
1
1
1
1
1
1
1
12
2
1
1
3
2
2
1
4
8
7
1
1
42
7
10
2
15
1
2
1
1
1
1
1
1
1
28
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
6
1
2
2
2
1
1
2
1
1
1
2
1
1
1
1
10
1
1
1
1
3
1
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
7
3
2
1
1
3
1
2
1
1
1
1
8
1
1
1
2
8
8
2
1
1
1
1
1
1
1
1
1
1
1
7
1
3
6
2
2
1
1
1
3
1
1
22
35
44
1
7
1
1
1
1
1
1
1
2
1
4
1
48
34
14
1
1
1
1
1
2
10
17
17
11
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
3
5
2
1
3
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
6
4
3
2
1
2
1
1
1
1
1
1
1
2
3
20
18
1
1
3
1
3
6
1
1
2
1
1
1
2
1
1
1
1
1
8
1
1
1
1
1
1
1
1
2
1
1
20
2
1
1
1
8
1
1
1
1
1
2
9
11
4
1
3
1
1
1
5
4
1
1
1
1
1
1
1
1
1
3
11
1
2
2
1
1
21
1
9
4
2
3
5
1
5
1
2
1
5
2
1
3
1
1
1
1
1
1
1
7
7
2
1
1
2
1
1
2
3
3
2
1
1
1
1
1
1
4
6
1
3
1
10
2
1
4
1
1
1
2
8
1
1
1
2
1
1
6
1
4
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
2
1
1
1
1
20
1
1
1
3
1
1
1
9
8
1
2
1
2
1
1
2
3
1
1
1
3
1
3
3
2
8
9
2
1
1
1
1
1
2
2
2
1
3
1
1
1
1
1
31
1
1
2
2
3
5
4
6
4
1
1
1
1
1
2
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
7
6
1
1
1
1
8
1
1
2
1
6
5
18
21
1
1
2
4
1
2
1
1
1
1
2
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
26
22
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
3
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
3
1
1
17
1
1
1
2
21
27
1
24
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
3
1
9
12
13
7
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
4
3
1
1
1
1
21
1
1
1
1
3
3
3
10
3
1
3
2
1
6
2
2
1
2
2
2
3
1
2
2
2
3
1
1
1
17
1
8
25
12
16
1
1
2
4
2
1
1
2
1
1
1
1
1
4
2
1
2
4
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
4
8
10
3
1
1
1
1
7
3
1
3
1
1
2
8
16
1
1
6
4
8
2
7
1
1
2
2
1
7
1
1
1
1
1
1
1
1
1
1
1
15
5
6
1
4
4
3
5
3
3
19
3
1
1
1
1
1
1
2
9
6
3
3
2
1
1
1
1
1
24
31
1
1
2
1
1
1
2
1
3
6
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
2
1
3
2
2
1
5
4
1
1
4
3
1
2
1
1
1
1
1
1
2
1
2
6
6
11
6
1
1
1
35
16
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
2
1
4
24
3
5
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
8
1
1
1
1
2
2
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
11
1
31
1
2
13
1
2
5
2
1
2
1
1
1
2
1
1
1
1
8
1
1
6
2
1
3
2
1
1
1
5
1
1
1
3
1
1
1
8
1
3
1
1
3
1
2
1
2
4
2
1
2
1
1
2
1
1
1
1
2
1
2
1
1
1
7
1
9
1
1
1
3
1
1
1
1
2
2
1
1
1
4
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
12
1
1
3
1
2
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
4
1
2
4
4
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
3
4
1
1
1
1
1
1
1
2
2
2
2
1
1
1
1
13
2
1
1
1
1
1
1
1
1
9
5
1
1
1
4
1
1
2
1
1
8
1
1
1
1
4
1
3
7
1
1
4
4
2
1
1
7
8
1
3
2
3
1
1
1
6
1
3
7
1
1
1
2
5
1
1
1
15
1
1
2
2
8
2
2
2
1
4
1
1
1
1
1
11
2
2
1
1
1
3
2
1
9
3
1
1
35
2
5
1
1
1
1
1
1
7
8
1
2
1
1
1
1
1
3
3
1
13
1
1
1
1
25
1
2
9
6
1
12
4
2
2
1
1
1
16
20
8
2
5
2
1
2
1
1
4
6
1
1
1
1
1
1
1
1
1
2
1
3
8
9
1
3
3
2
1
1
2
5
1
1
9
1
18
2
3
1
2
4
1
1
1
13
1
1
1
2
1
2
1
1
1
10
1
1
1
1
1
1
20
1
1
1
2
2
1
29
4
4
1
1
23
22
1
1
1
1
6
3
2
1
4
5
1
16
1
1
1
1
3
2
1
1
1
1
10
17
1
34
1
1
1
1
1
1
1
1
1
1
1
1
3
5
7
8
1
1
1
2
1
1
1
1
10
6
5
1
1
1
1
2
6
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
8
1
2
1
3
1
1
1
1
4
3
1
3
1
1
4
1
9
1
1
1
1
38
4
23
2
6
2
1
5
5
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
22
1
1
1
1
2
2
1
3
6
12
6
5
5
1
1
1
1
2
4
1
14
1
1
1
11
8
22
1
2
1
1
2
1
1
3
1
15
2
1
4
17
14
1
1
9
11
1
1
1
4
1
1
1
1
2
2
1
1
1
8
2
2
2
6
10
2
1
2
1
1
3
1
2
3
2
6
2
5
8
6
18
5
1
14
9
2
1
1
1
3
1
7
15
2
17
9
1
1
7
1
1
3
1
2
2
1
1
4
10
1
1
1
1
11
1
3
3
6
2
1
1
1
1
1
1
1
1
1
5
7
2
1
1
1
1
18
9
2
2
2
1
1
1
14
3
1
1
3
8
12
9
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
1
1
5
5
1
1
1
1
3
7
7
1
2
2
2
1
1
2
3
1
1
3
2
4
1
6
1
3
6
1
2
5
3
3
3
2
1
1
1
1
2
8
3
2
2
1
1
2
1
3
2
1
2
3
1
2
1
3
1
1
12
4
2
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
5
1
1
2
1
2
1
1
1
14
10
1
8
2
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
6
10
9
2
2
1
6
3
2
1
3
5
4
3
1
2
1
3
1
1
1
7
3
1
6
2
4
4
1
2
2
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
7
1
1
1
1
1
4
6
1
1
3
6
30
1
6
1
1
1
1
1
1
14
7
2
1
1
1
1
1
6
12
1
1
12
16
4
1
1
1
1
3
5
3
1
1
1
1
2
2
1
1
8
1
1
1
2
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
9
1
1
2
1
1
1
1
1
1
1
1
16
25
7
1
1
2
6
9
5
7
1
1
4
1
1
1
3
4
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
2
1
1
1
15
2
1
1
5
1
2
1
1
1
1
1
4
1
4
1
1
1
1
38
9
8
1
12
9
1
5
3
3
1
3
2
2
2
1
1
1
1
1
3
2
4
1
1
1
2
1
2
1
1
2
3
1
1
4
1
1
1
1
6
2
1
1
1
1
1
18
1
5
2
3
1
5
1
5
2
11
7
1
1
1
2
53
2
2
1
1
2
1
3
23
4
1
1
1
2
2
3
1
17
10
7
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
35
1
1
1
1
2
1
1
2
3
1
6
2
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
12
2
4
9
4
1
13
1
1
2
1
2
5
3
20
2
7
1
1
1
2
1
1
2
1
9
7
55
2
2
2
1
4
1
1
3
1
4
13
4
1
1
5
3
3
1
2
1
1
1
1
1
1
2
1
1
4
5
1
1
2
7
5
10
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
8
4
10
1
2
12
4
2
1
5
4
2
2
1
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
8
9
4
1
1
1
1
1
1
111
3
1
1
4
5
9
1
1
2
1
1
1
1
1
6
6
3
1
1
1
3
2
6
1
1
1
1
1
2
1
1
1
17
10
2
4
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
14
15
3
8
5
64
6
1
11
1
1
1
1
1
1
1
1
2
5
2
1
2
1
1
3
1
1
1
1
3
4
2
3
5
1
1
4
4
1
1
1
2
1
1
1
3
3
1
1
4
3
1
1
1
7
1
1
1
1
8
1
1
1
1
2
1
1
1
1
6
4
1
1
2
1
2
4
1
1
1
1
5
1
1
6
8
6
8
2
3
2
7
4
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
4
17
17
1
1
1
3
9
13
1
1
1
1
2
3
1
6
3
3
1
5
21
1
3
3
1
1
1
4
2
10
10
5
11
3
2
1
44
3
1
2
1
1
1
1
1
1
1
14
3
1
3
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
8
1
1
1
5
1
1
1
4
1
1
2
2
4
1
3
1
2
3
8
1
8
1
1
1
8
1
1
2
2
4
1
2
1
1
1
3
1
1
7
1
5
2
1
1
8
1
1
2
1
1
1
1
1
4
2
2
2
2
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
2
3
1
5
7
1
1
1
2
1
1
2
1
6
6
3
1
1
1
8
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
11
1
1
1
11
13
1
4
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
3
1
1
1
1
2
1
2
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
7
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
1
1
3
4
1
1
1
1
1
1
1
1
1
2
7
2
2
2
1
1
1
1
1
3
1
9
1
1
3
1
3
5
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
2
1
1
5
1
1
1
1
2
1
2
1
1
1
1
1
16
1
3
1
1
1
1
2
1
1
1
1
12
4
2
34
1
8
7
1
1
1
5
16
9
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
3
2
2
13
20
2
1
7
10
6
5
3
1
6
3
1
1
2
2
6
11
1
6
1
5
10
2
1
1
1
27
23
29
1
1
1
1
1
1
2
1
1
1
1
1
28
36
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
10
11
1
1
1
1
5
1
1
1
3
2
1
2
1
1
1
1
1
1
11
5
1
1
3
3
1
1
4
17
7
60
2
8
1
3
1
1
1
1
1
1
1
1
2
1
38
40
1
2
2
7
3
1
3
4
3
1
1
2
1
1
1
1
2
1
24
3
1
1
1
1
1
1
1
1
8
1
1
2
1
1
1
1
6
6
1
1
1
1
1
1
1
1
2
2
2
1
11
4
1
1
4
11
2
1
1
1
1
1
1
1
1
3
5
1
3
1
2
2
5
1
1
1
33
28
4
12
1
51
1
1
1
1
16
15
1
9
4
1
1
3
3
1
2
1
1
1
3
1
1
1
6
1
3
1
1
1
1
61
3
1
1
3
1
1
1
1
1
1
1
4
1
7
1
2
1
1
1
6
5
2
3
1
1
1
1
1
34
3
14
24
1
1
3
1
2
4
47
1
1
3
6
1
3
5
1
11
27
27
23
14
4
1
1
6
2
8
6
2
14
10
2
1
1
1
1
2
1
1
1
1
3
1
1
8
2
1
4
2
1
5
4
2
2
3
15
15
7
6
1
1
1
1
1
1
11
1
1
1
4
1
9
2
1
1
9
3
1
1
3
1
9
4
3
7
1
14
1
1
3
1
1
1
2
1
1
1
6
1
18
1
1
12
4
1
1
13
15
13
11
8
5
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
6
1
1
7
1
5
1
1
2
1
1
1
3
5
12
2
1
1
1
1
3
2
15
82
7
10
1
1
1
1
8
2
1
1
3
2
1
1
1
1
1
1
6
2
1
9
3
15
10
15
3
5
1
1
1
1
2
2
1
1
1
2
1
1
2
1
1
4
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
7
8
19
17
1
1
1
1
12
8
1
7
6
1
1
1
1
2
1
131
4
1
1
1
2
2
3
1
1
1
1
1
1
1
1
89
4
2
1
1
1
2
1
1
2
2
1
1
1
1
1
1
2
2
1
2
3
2
2
4
1
5
11
1
2
1
4
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
11
1
1
1
1
2
1
1
71
2
1
1
1
1
6
3
1
1
1
2
3
2
14
4
1
1
1
1
6
1
1
1
1
1
2
1
2
3
1
1
1
2
7
1
11
14
1
1
10
1
1
1
1
1
5
27
1
1
3
1
3
3
1
2
1
2
1
12
1
1
1
2
3
1
19
2
1
4
5
12
2
6
2
9
5
1
1
1
1
1
3
3
1
5
1
1
1
2
2
1
2
1
5
1
1
1
1
1
1
4
1
1
2
1
2
3
1
1
12
1
1
1
1
1
1
11
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
13
1
1
2
1
4
1
1
1
4
1
1
1
1
1
1
1
151
1
1
1
1
1
1
1
2
1
2
6
1
2
1
1
1
1
1
1
1
1
1
1
25
4
1
1
1
1
1
1
1
3
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
7
10
1
2
9
4
1
16
1
4
2
1
1
1
1
8
3
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
6
8
4
1
20
3
1
1
1
1
6
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
2
3
7
2
1
1
1
1
1
1
1
3
5
1
1
1
6
1
2
6
5
2
1
1
1
3
1
2
1
1
3
3
1
1
2
2
4
1
1
7
6
1
1
1
2
6
3
2
3
1
4
1
1
1
5
1
9
1
2
1
33
1
1
1
6
6
7
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
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
13
1
3
1
15
16
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
18
1
1
1
1
1
1
1
1
1
2
2
1
1
1
4
1
3
4
1
1
1
1
1
1
1
4
2
2
2
3
3
1
1
2
17
1
1
1
1
1
1
1
1
5
1
1
1
5
2
2
2
1
3
7
1
1
4
1
1
51
1
1
1
2
1
7
2
1
1
1
1
3
2
2
2
5
7
1
3
1
1
1
1
1
2
2
1
2
2
1
1
2
1
1
1
1
2
3
3
1
1
1
2
4
7
7
9
4
5
1
1
1
3
1
1
1
1
2
16
1
9
1
1
3
2
1
1
1
1
5
12
4
2
2
3
3
3
1
2
1
1
5
4
1
2
1
3
2
18
21
16
18
1
5
1
6
1
2
1
3
3
1
3
4
12
1
1
1
1
1
2
1
1
1
4
1
1
4
1
1
1
1
1
1
4
1
1
1
5
11
2
1
2
3
4
5
1
1
1
25
4
1
13
1
2
2
1
2
27
1
3
1
9
12
5
5
5
1
1
21
2
1
1
1
1
1
1
1
1
1
4
7
2
1
3
1
1
1
15
10
10
1
1
1
1
1
14
4
1
1
3
2
1
4
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
10
1
1
1
1
1
5
6
5
3
1
1
1
1
1
1
5
6
1
24
1
1
3
1
1
1
17
1
3
2
4
1
1
1
1
1
1
1
1
5
4
3
1
1
1
9
9
1
3
1
3
10
10
6
9
1
1
2
4
1
1
1
1
5
1
2
6
1
1
7
1
1
1
1
1
1
1
1
3
3
1
16
13
8
4
1
1
3
1
2
1
1
1
3
1
6
5
1
1
1
3
12
19
14
2
2
2
1
1
1
2
3
3
5
2
2
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
3
1
1
1
1
1
1
1
2
1
1
1
1
21
13
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
3
1
1
13
1
12
15
8
1
2
5
1
1
2
15
2
1
1
1
1
4
1
5
2
2
2
1
1
1
7
5
12
1
2
1
1
1
1
12
1
1
1
2
1
1
2
1
1
1
1
12
9
12
1
15
1
1
1
3
3
2
2
1
1
2
1
1
1
1
3
1
11
7
9
1
10
5
2
9
1
1
1
28
1
7
1
1
1
3
2
1
1
1
2
5
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
6
15
1
2
1
1
1
2
1
1
1
1
18
36
43
1
5
1
5
4
2
1
1
2
1
1
27
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
6
1
1
1
1
2
1
1
1
2
1
1
1
1
1
5
3
2
5
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
33
4
4
4
2
1
3
1
1
4
1
1
1
8
1
3
1
3
3
49
2
17
39
36
1
1
2
18
4
2
1
1
2
1
1
13
1
2
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
8
13
7
2
1
1
1
1
1
6
1
2
1
1
1
3
1
1
2
4
2
4
4
14
7
1
1
1
4
2
1
1
1
1
12
6
1
1
1
9
1
1
1
1
1
1
5
2
1
6
9
1
1
1
1
1
1
1
1
4
2
10
13
6
1
3
1
1
32
1
1
1
1
20
1
2
2
24
1
1
1
1
6
5
5
2
1
1
3
5
10
5
1
1
1
1
2
4
2
2
1
1
4
1
1
1
1
1
1
2
1
106
2
1
1
1
1
1
2
1
2
4
1
1
1
2
3
2
1
9
16
1
8
5
3
6
2
1
2
2
1
4
12
1
1
1
1
23
22
2
4
1
5
1
1
1
1
1
3
12
1
1
8
8
1
124
1
3
1
2
1
1
1
6
9
13
6
3
1
1
1
2
2
4
2
1
1
1
5
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
3
1
52
2
30
1
3
1
1
3
1
4
1
1
2
1
1
1
1
3
1
1
1
5
2
8
6
7
6
1
1
1
1
12
1
2
2
1
1
1
3
1
9
9
1
1
1
2
4
1
1
1
1
1
6
2
1
1
1
3
23
13
6
4
1
1
1
1
1
2
2
2
12
8
3
11
3
2
1
10
1
1
1
1
2
1
10
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
2
2
1
1
1
5
10
14
1
1
1
1
1
1
1
1
8
25
6
1
1
15
14
1
3
5
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
4
3
1
10
9
1
2
1
2
1
1
1
2
1
5
12
12
1
1
2
1
2
2
6
1
1
7
7
8
3
1
1
1
1
1
4
2
1
1
1
1
1
19
1
8
1
3
1
13
1
1
1
2
2
1
1
1
1
6
3
1
1
1
2
5
5
6
1
1
1
1
2
1
1
6
6
6
2
2
2
2
2
1
1
45
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
2
2
1
1
1
1
1
1
1
1
15
10
5
3
4
1
22
15
7
1
1
16
1
3
5
3
3
2
2
1
1
5
2
1
1
5
5
1
2
5
5
1
1
1
1
3
1
5
1
1
1
1
3
2
2
1
1
1
2
3
7
3
11
1
1
1
1
1
1
5
6
1
1
6
3
1
1
1
6
3
1
2
2
1
1
9
2
1
1
1
1
6
2
4
2
1
4
1
5
1
1
1
5
3
1
2
1
16
5
1
3
7
2
1
1
2
1
1
1
1
2
1
1
4
2
4
7
3
2
2
1
14
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
3
1
2
3
43
21
1
1
1
1
1
1
10
8
7
1
1
2
7
1
1
1
22
2
1
11
6
7
1
1
1
1
1
1
1
7
1
2
1
2
2
1
1
11
16
22
1
2
3
1
1
3
1
2
3
1
1
1
13
9
1
3
8
20
9
2
2
1
1
1
16
7
8
1
2
7
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
4
1
2
1
45
2
1
1
1
2
1
1
1
2
2
3
6
1
1
1
1
1
1
1
3
1
8
8
1
1
4
1
3
1
1
19
11
6
9
7
4
1
1
1
4
2
1
2
1
1
1
13
12
14
1
3
1
8
3
10
1
1
1
5
4
7
1
1
1
1
1
2
1
1
9
8
1
17
2
1
1
1
1
1
1
1
1
1
1
1
16
9
2
19
17
1
1
2
10
25
12
1
1
3
1
6
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
10
18
8
1
23
3
1
1
2
2
2
1
1
1
3
1
9
1
3
1
28
9
2
3
1
17
1
2
9
10
5
1
3
1
2
3
2
1
1
1
2
8
1
2
40
2
1
1
4
4
1
1
1
17
1
7
1
1
1
1
2
1
1
2
2
2
2
1
3
8
5
1
1
7
5
1
6
8
1
2
1
1
1
1
5
1
5
22
1
5
9
1
1
3
1
4
4
1
6
3
1
2
1
1
1
1
1
1
4
2
7
8
1
1
1
2
3
1
1
1
1
1
1
4
5
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
2
10
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
2
1
1
1
1
1
1
1
1
1
1
4
20
1
1
2
1
11
5
1
1
4
1
1
1
1
1
5
1
20
2
1
1
1
4
2
1
5
1
2
1
6
1
7
1
4
1
2
1
4
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
8
3
2
1
6
7
2
2
1
2
1
1
1
1
1
1
1
1
1
5
1
2
11
1
1
4
1
1
1
1
8
1
10
2
1
1
2
1
2
7
1
4
1
1
1
1
2
14
7
1
1
10
1
4
7
6
1
2
1
4
1
26
31
2
3
1
1
1
4
7
3
1
1
9
1
7
4
2
8
9
1
1
1
4
12
11
1
1
5
1
1
1
1
1
1
3
4
1
257
2
5
48
4
5
8
9
1
1
1
1
6
20
20
25
1
1
1
6
2
2
1
1
1
1
1
1
1
36
2
1
41
1
2
2
3
7
1
1
3
1
1
1
1
1
1
1
1
329
20
19
1
1
1
1
2
2
1
9
2
1
1
1
1
1
5
1
1
1
5
1
2
4
1
1
1
1
5
2
1
2
3
1
1
3
1
1
1
1
1
2
1
1
9
2
4
3
3
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
2
18
3
1
1
3
5
6
2
1
1
6
1
1
1
1
2
3
5
7
1
1
1
2
3
2
1
1
1
4
3
1
2
7
3
1
1
4
1
2
1
1
1
1
1
2
1
2
1
2
1
1
1
1
2
1
1
2
8
4
1
6
19
1
1
1
2
1
1
4
17
21
10
1
7
8
9
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
1
1
1
1
1
1
1
2
5
2
2
4
4
1
2
3
3
49
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
2
4
1
1
11
3
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
6
15
12
1
1
1
5
1
1
12
1
1
1
1
1
2
10
6
3
11
1
3
5
1
4
16
1
2
3
4
1
16
14
14
2
2
1
2
1
1
1
1
1
16
1
2
5
2
3
2
1
1
2
1
1
1
1
1
1
1
1
142
8
2
1
1
1
2
5
2
2
3
1
2
9
1
1
1
1
9
1
1
1
1
4
3
2
1
1
1
4
2
26
1
1
1
16
15
8
7
1
1
5
13
6
12
1
7
1
1
1
1
1
1
98
1
1
1
3
4
1
1
1
1
20
4
6
3
12
64
1
2
1
1
1
1
3
2
1
4
1
2
1
2
1
1
1
16
1
1
2
5
8
5
11
2
1
2
1
1
2
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
2
1
19
17
1
2
1
7
1
1
1
1
6
6
1
8
45
44
33
35
397
1
11
9
7
1
1
1
13
19
2
2
2
1
1
2
3
1
1
1
1
1
3
3
1
1
1
1
12
1
1
5
1
1
1
9
1
1
4
2
6
1
1
1
1
2
3
1
2
1
1
1
1
1
1
4
1
1
1
1
7
17
18
3
1
21
38
16
1
2
1
1
1
1
1
1
1
1
6
1
2
1
2
7
1
1
2
2
2
1
1
2
1
1
1
1
1
1
2
1
1
3
3
1
5
2
1
1
3
2
8
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
10
6
22
6
1
1
1
1
8
9
4
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
2
3
6
2
1
1
1
1
1
1
1
2
2
1
1
1
5
5
1
5
1
2
1
2
3
2
1
1
1
1
11
8
1
2
1
1
2
4
7
5
3
1
5
5
3
1
1
1
1
3
1
1
1
2
1
4
2
1
8
4
2
12
1
4
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
6
3
5
1
1
4
1
1
1
1
1
1
1
1
3
1
1
21
5
1
1
4
2
1
476
8
1
1
1
15
14
4
1
1
2
2
2
1
1
22
8
2
15
11
1
1
1
1
1
1
24
1
18
11
4
2
1
1
1
9
8
1
1
47
3
4
3
3
1
1
1
48
1
3
11
9
1
2
2
2
3
4
1
2
4
1
4
1
5
2
2
5
1
14
1
1
4
1
4
3
2
1
5
4
3
1
1
1
1
1
3
1
1
1
3
2
2
2
4
16
4
4
1
3
1
1
1
84
490
2
1
2
1
2
1
23
1
1
7
8
2
1
3
7
1
1
3
1
1
1
1
1
1356
1
2
1
1
6
2
1
1
1
1
35
2
28
1
7
1
1
5
1
1
6
1
1
62
1
1
8
366
42
46
195
2
1
19
24
2
4
7
3
1
1
1
1
6
5
3
11
5
3
206
4
3
2
1
2
1
4
3
2
4
7
5
3
3
8
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
286
312
20
540
2
2
1
1
2
1
1
1
1
