3
1
8
1
7
1
10
7
3
8
5
1
3
1
1
4
1
16
1
7
2
1
1
1
2
2
4
5
7
2
1
2
1
2
1
1
18
4
1
1
1
2
1
1
5
7
10
2
1
2
4
1
17
7
8
2
4
1
3
1
1
3
1
3
1
1
20
16
5
3
6
8
1
1
1
1
1
1
31
14
1
1
1
1
2
2
8
15
2
6
4
1
1
1
1
10
2
1
6
3
2
1
1
2
1
4
5
1
1
2
2
1
2
1
1
3
6
2
1
1
3
1
1
1
1
2
1
10
1
1
2
9
1
1
5
1
1
3
2
1
1
2
1
4
8
3
1
6
10
1
3
4
8
1
9
5
1
1
1
1
2
1
1
1
2
1
1
38
73
72
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
12
1
4
1
1
1
1
1
1
1
4
2
12
5
2
1
1
5
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
9
1
2
3
1
1
15
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
13
9
2
1
1
1
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
3
2
1
1
1
8
1
1
2
2
1
1
2
1
1
2
2
1
1
1
1
2
3
2
1
3
1
1
1
16
4
1
8
1
2
1
1
1
4
2
2
6
4
1
2
2
1
2
1
1
1
1
3
1
4
3
3
4
3
1
2
11
7
5
1
1
32
1
1
1
1
3
12
1
3
1
1
1
5
1
1
1
1
1
1
4
4
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
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
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
1
2
5
1
1
1
1
1
1
1
5
1
1
1
1
15
1
4
28
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
2
1
5
2
1
2
8
5
3
6
1
1
61
1
2
3
25
10
3
12
1
3
1
13
1
1
1
1
2
6
7
1
1
1
1
1
12
1
2
1
1
1
1
10
1
1
1
1
3
1
5
1
5
1
5
1
6
1
3
25
6
27
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
6
2
1
1
1
49
1
2
2
1
3
1
2
1
1
2
1
3
1
1
2
8
1
2
1
1
1
1
3
1
10
1
1
1
1
1
1
1
3
1
1
1
3
1
1
11
1
1
1
3
1
2
2
5
8
2
1
1
3
1
2
1
13
7
1
3
4
1
1
3
1
1
2
10
1
4
1
24
15
19
1
6
2
1
1
41
1
2
1
1
1
7
4
1
1
1
1
2
2
1
1
1
1
7
1
1
2
2
11
1
10
7
5
1
1
1
1
1
1
7
7
3
1
28
1
1
2
3
17
22
10
25
4
5
1
3
4
2
1
4
10
2
2
1
12
9
2
1
7
3
1
1
1
1
3
5
2
1
2
1
1
5
1
4
9
3
5
2
30
1
1
4
1
28
1
5
15
12
11
3
7
4
38
1
1
1
1
1
7
6
2
3
1
4
1
1
4
1
3
1
1
3
1
1
1
1
1
1
6
5
1
17
1
3
2
3
12
3
1
6
1
2
2
3
3
1
3
6
5
10
2
4
5
5
3
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
10
3
1
3
1
1
1
1
2
1
1
1
2
1
1
5
1
2
1
1
1
1
2
2
1
2
3
1
1
1
5
7
8
1
6
4
1
1
3
2
4
3
1
4
1
20
1
1
1
1
1
1
1
1
4
2
2
1
1
1
1
1
11
4
1
8
1
2
38
3
1
1
6
2
9
8
1
1
1
2
1
1
1
1
1
1
1
2
1
3
4
15
17
6
1
2
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
69
1
1
1
6
2
1
1
1
6
20
1
1
2
3
1
2
1
1
1
1
1
3
9
12
1
4
1
1
1
1
1
2
9
13
5
1
2
1
1
3
1
8
13
1
1
3
1
1
1
1
3
8
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
2
1
2
1
2
8
1
4
8
1
1
1
1
1
1
1
1
1
4
5
1
15
14
2
8
1
4
2
1
2
1
1
1
1
1
14
2
2
2
3
1
9
9
1
32
3
3
1
1
19
2
3
2
1
1
19
1
1
1
1
1
1
1
1
1
1
1
1
3
3
2
3
1
1
1
1
1
1
2
7
1
2
2
1
1
6
1
1
1
1
1
1
1
1
9
1
5
2
1
1
1
2
2
1
2
1
2
1
2
1
1
1
3
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
5
3
4
3
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
11
7
3
1
1
1
3
3
1
1
1
9
1
1
1
6
4
2
1
1
2
2
34
28
24
2
6
1
1
1
1
2
4
1
1
5
1
1
36
16
50
1
2
1
1
1
1
16
18
13
24
2
2
1
1
1
10
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
5
8
1
1
1
1
1
1
1
1
1
1
8
5
1
3
1
1
1
1
1
1
8
13
1
1
1
1
2
1
2
4
1
1
3
1
1
2
22
18
1
1
1
2
1
5
5
1
8
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
23
2
5
1
1
3
4
1
2
17
2
7
1
2
2
2
4
4
9
3
1
1
1
1
1
1
1
1
2
1
5
1
18
1
6
3
1
2
36
1
2
8
6
1
1
1
4
2
1
1
9
1
6
2
3
1
2
8
1
1
1
8
2
1
1
2
2
2
1
1
2
1
1
1
1
1
8
4
1
1
2
1
2
4
3
1
1
1
3
1
1
1
2
1
7
1
1
1
1
2
1
1
1
2
1
2
1
1
14
1
2
1
1
7
4
1
4
2
1
1
1
3
4
2
3
2
1
3
1
1
1
1
1
1
1
1
1
2
2
3
1
1
1
3
3
1
1
4
1
2
1
1
2
1
4
3
1
1
1
1
2
1
1
1
4
6
3
1
1
1
1
1
1
1
1
1
1
2
4
2
7
8
1
15
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
23
1
2
2
9
4
1
5
4
7
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
10
4
2
1
1
8
1
1
1
2
1
1
1
1
1
1
3
27
30
7
1
1
1
4
2
3
4
2
1
1
2
1
2
2
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
10
30
1
1
1
6
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
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
4
18
1
1
3
1
1
1
4
1
1
1
1
1
20
25
19
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
19
14
15
6
2
1
1
1
1
3
1
1
1
2
1
9
6
1
1
1
2
1
40
1
1
2
2
1
2
1
4
7
5
1
3
1
11
4
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
2
1
1
1
17
1
15
23
9
19
1
1
2
1
3
2
1
1
6
1
1
10
5
3
2
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
2
1
3
1
1
3
1
1
17
6
4
1
1
15
1
28
1
1
1
1
7
4
1
1
1
15
13
1
1
1
8
5
2
9
2
3
1
2
1
7
1
2
1
1
1
1
1
35
2
1
1
1
1
17
1
5
6
2
18
14
7
3
6
1
1
1
18
1
2
3
1
1
1
8
11
1
13
4
3
1
1
1
3
2
40
37
1
2
2
1
1
2
1
1
2
4
1
1
1
7
1
1
1
6
1
1
1
1
1
1
1
1
1
1
7
8
1
1
1
1
3
4
1
1
1
3
2
2
1
4
5
3
1
1
1
1
1
1
1
1
3
4
4
6
1
1
2
1
1
5
41
1
16
4
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
2
1
1
1
1
6
12
1
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
1
5
2
1
3
1
1
1
3
1
1
1
6
7
3
1
1
1
1
1
1
1
1
8
5
27
2
1
1
20
1
1
4
1
3
8
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
6
1
4
2
2
8
1
7
2
3
3
2
3
1
1
4
3
1
1
1
1
4
2
1
1
1
1
1
1
2
2
2
7
1
2
1
1
1
3
3
2
1
1
1
1
1
1
2
2
1
1
2
8
1
19
1
1
1
1
1
1
1
3
4
3
1
1
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
8
1
1
1
1
9
5
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
4
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
6
1
1
1
1
1
2
1
1
1
1
1
1
1
56
1
1
1
1
1
1
1
1
1
5
8
3
5
1
1
5
1
1
1
1
4
1
6
1
1
1
1
1
1
5
4
3
1
1
1
1
2
1
5
7
3
1
1
9
1
11
4
2
1
3
2
1
1
2
1
14
1
3
1
8
1
3
1
1
1
6
1
2
1
1
2
1
1
22
1
1
1
1
2
1
1
1
2
1
2
1
1
1
5
2
1
1
16
3
1
1
3
3
19
4
17
1
8
1
1
1
1
1
3
3
2
2
1
1
1
14
6
5
1
2
3
1
1
2
21
1
2
3
3
13
1
23
13
1
7
1
2
6
4
1
1
23
15
18
1
3
2
6
1
6
1
2
1
4
4
20
1
3
3
1
1
1
1
1
1
2
3
13
10
2
4
6
3
3
2
1
1
2
1
1
11
1
1
1
4
2
2
7
1
5
1
2
3
1
4
1
1
1
1
1
1
1
5
3
8
1
1
1
2
1
2
1
3
1
1
19
1
2
1
2
1
1
1
1
1
1
2
1
15
2
1
2
1
1
55
6
3
1
30
25
2
4
3
2
1
6
4
1
3
1
23
2
2
1
2
1
1
7
3
1
1
1
1
1
1
14
9
63
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
6
7
4
3
1
1
1
1
1
1
1
1
4
1
8
4
1
1
1
8
9
1
2
2
7
1
1
2
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
12
1
1
2
6
1
1
1
4
1
1
1
6
2
1
1
4
6
1
1
2
1
1
1
1
1
2
1
1
1
2
54
1
2
25
12
5
1
1
8
2
1
1
1
1
1
1
1
1
1
1
1
1
7
2
1
2
2
1
1
1
1
38
2
2
1
1
1
2
1
3
6
11
7
12
13
1
7
1
1
2
4
1
1
11
1
14
11
29
1
1
3
7
3
2
1
1
24
2
1
1
5
18
11
1
1
1
1
18
14
1
1
1
1
4
1
1
2
1
1
1
1
3
1
1
1
5
4
3
1
1
1
1
1
6
1
1
1
1
1
1
2
8
4
1
5
1
4
2
1
4
2
9
14
19
3
14
19
1
2
1
1
1
8
1
11
1
9
11
1
1
1
1
7
1
1
3
1
1
2
1
1
1
1
1
1
1
4
2
13
5
1
1
1
1
1
1
11
1
1
2
3
1
11
1
1
1
1
1
2
1
1
2
1
1
3
2
3
1
2
3
1
2
3
1
29
20
3
2
2
1
1
2
1
1
1
1
9
1
1
1
2
1
3
11
5
1
1
9
2
7
1
1
1
2
2
1
1
3
4
1
1
1
1
2
1
1
1
3
1
1
1
2
1
2
1
1
1
1
4
5
1
5
6
4
3
1
1
1
2
11
9
2
4
2
9
2
1
1
1
2
1
3
1
2
1
1
2
1
8
3
14
6
2
3
12
15
4
1
1
2
4
4
1
6
5
1
1
1
11
3
1
1
1
1
2
4
1
3
1
1
1
6
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
56
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
1
1
1
1
1
3
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
2
1
1
1
4
1
1
1
1
5
3
1
1
1
1
2
2
2
17
10
7
2
1
1
1
1
1
4
1
1
7
20
27
1
2
1
8
6
3
2
3
7
12
1
2
1
5
1
4
5
5
2
3
5
1
2
1
1
1
1
8
1
1
1
1
1
1
1
1
2
1
2
2
2
1
5
8
1
2
1
1
1
1
1
1
4
5
1
1
1
1
5
7
32
3
2
1
1
1
1
1
1
1
1
1
1
7
8
1
1
1
8
2
12
1
2
1
3
1
7
28
27
1
1
1
1
4
1
9
1
2
1
3
1
1
1
1
7
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
4
3
1
2
1
2
1
1
1
2
1
1
5
1
2
1
1
1
1
1
1
13
3
1
1
2
2
1
1
1
1
1
1
1
21
9
25
1
1
3
8
3
8
7
1
1
1
1
1
3
4
7
1
1
1
1
1
2
7
2
1
4
1
1
1
1
1
1
1
2
2
2
1
1
4
1
5
9
9
1
1
3
10
11
1
3
1
1
3
2
2
2
1
1
5
8
1
1
5
1
1
1
1
41
16
12
3
32
10
1
1
1
2
1
1
1
8
3
4
2
1
1
1
2
4
1
1
1
4
2
1
2
3
2
2
1
1
4
1
3
1
1
1
1
5
2
1
1
2
1
1
10
4
13
5
1
1
1
1
1
5
2
2
18
2
4
4
5
1
1
1
1
104
1
1
2
1
1
27
2
3
1
1
2
1
4
1
1
1
1
14
19
4
4
1
2
1
1
1
1
1
1
1
1
1
1
6
1
56
2
3
1
1
1
1
1
5
6
1
2
1
4
1
1
2
1
1
1
1
1
1
1
29
2
1
1
3
6
9
1
2
2
2
1
1
1
1
4
1
8
6
2
1
1
2
1
1
1
1
4
18
59
1
4
2
2
2
2
1
2
2
3
1
1
3
2
1
1
3
1
3
1
2
19
3
1
3
2
2
2
1
1
2
1
1
1
1
2
1
1
1
1
4
5
3
3
1
1
1
1
6
13
10
5
1
4
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
7
5
5
5
3
4
1
9
2
1
1
1
1
7
7
1
2
2
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
8
1
3
2
1
1
7
1
6
8
1
1
1
1
1
101
1
2
1
1
1
4
4
1
9
1
1
1
4
1
1
2
1
1
1
8
1
10
7
1
1
1
1
1
3
3
1
14
1
1
1
1
1
1
2
1
1
3
15
6
12
5
7
12
1
1
1
1
1
1
3
2
1
1
1
1
1
1
2
1
1
2
1
1
1
4
1
1
1
18
14
1
4
11
1
58
1
6
10
1
1
5
2
4
1
1
1
1
1
1
3
2
5
2
2
1
2
1
1
1
1
1
1
1
1
1
3
6
36
1
4
6
1
2
1
1
1
1
1
1
1
1
3
1
1
5
2
2
1
9
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
2
1
1
2
1
4
2
1
2
1
1
1
1
3
1
1
2
1
1
1
2
1
8
2
4
6
2
1
1
4
1
1
1
1
7
4
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
6
2
1
1
39
29
1
7
1
13
17
1
1
1
1
2
2
2
1
1
1
7
1
1
1
1
3
13
1
1
1
6
23
2
1
5
1
1
1
1
4
5
16
1
6
24
3
1
45
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
4
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
4
11
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
7
1
4
13
3
6
4
9
2
1
1
1
5
1
5
10
1
1
2
1
6
2
1
3
1
1
1
1
1
1
11
2
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
2
1
2
1
2
2
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
6
1
4
4
5
1
7
7
1
3
2
5
1
1
1
1
1
7
3
1
2
2
4
4
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
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
14
17
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
7
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
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
5
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
2
1
1
1
1
1
2
10
7
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
4
1
2
1
1
1
2
1
1
1
8
2
3
3
1
3
2
4
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
4
4
1
6
4
5
3
1
1
5
1
5
1
1
1
1
25
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
16
5
2
1
2
9
1
9
4
1
1
1
2
3
7
3
10
1
1
2
1
3
1
1
1
8
4
3
1
3
3
4
19
14
1
1
1
1
1
1
1
6
21
8
5
3
1
4
2
1
1
3
7
6
9
1
1
1
6
1
1
1
14
2
1
1
1
1
1
1
1
1
1
21
14
14
1
2
1
1
1
1
1
1
1
1
1
1
1
1
28
26
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
6
1
1
1
1
1
1
1
1
1
1
4
22
15
3
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
9
6
1
1
2
3
1
2
8
4
1
9
4
4
5
62
4
5
1
2
1
1
1
1
1
1
1
1
4
1
1
3
4
1
4
2
6
5
4
12
1
6
1
2
1
1
1
1
1
1
2
18
5
4
1
1
1
8
1
1
1
1
1
1
1
7
1
1
15
10
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
4
2
1
1
3
4
1
1
1
1
1
1
1
19
4
1
2
1
1
11
3
4
3
1
2
1
1
3
3
1
1
2
1
6
1
1
1
4
2
2
1
1
1
1
1
8
2
1
1
20
8
4
1
15
1
1
1
49
2
1
1
4
6
16
14
1
1
1
1
11
4
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
69
2
1
1
1
1
1
1
2
1
1
6
3
1
1
1
16
10
3
9
5
1
1
1
3
2
39
1
3
1
42
30
1
1
1
1
5
1
1
4
25
1
1
1
6
2
1
5
5
1
7
28
23
10
27
24
4
1
3
10
7
4
1
1
14
13
3
1
1
1
1
4
3
1
1
3
1
3
5
2
5
1
7
3
1
1
4
1
4
3
2
1
8
1
3
3
2
22
15
13
6
2
1
1
1
17
2
1
3
2
8
1
8
1
1
3
4
5
4
1
1
1
14
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
12
1
1
1
1
13
1
20
8
3
4
4
14
13
17
1
11
5
19
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
4
1
1
1
3
3
1
1
3
1
1
5
1
1
7
1
4
1
1
1
1
1
1
1
6
7
7
1
1
2
1
3
4
1
1
1
89
30
14
6
1
1
4
5
1
7
6
1
1
2
1
1
1
1
2
1
1
1
1
2
1
6
21
1
2
1
2
2
14
15
4
10
14
3
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
4
2
1
1
1
1
1
1
1
1
1
4
1
1
1
15
12
5
19
16
1
1
2
1
3
7
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
250
1
1
1
2
1
1
2
1
2
1
1
2
1
1
1
1
1
7
40
3
4
1
1
2
1
1
1
1
2
1
2
3
1
1
2
1
2
3
1
1
3
5
1
1
1
1
2
2
3
1
2
3
1
1
13
16
4
7
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
6
1
18
1
1
4
1
1
1
1
1
1
90
1
4
1
2
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
9
1
1
19
3
2
1
6
5
1
1
1
1
4
1
3
7
1
4
1
3
2
1
1
1
4
1
1
2
6
5
11
11
10
1
1
1
15
34
8
1
1
1
5
1
1
2
1
4
1
1
5
23
3
2
1
4
4
17
1
1
2
3
2
4
2
1
1
1
1
1
4
2
5
3
2
3
12
2
3
1
2
1
15
2
1
2
4
2
1
1
1
2
1
4
2
1
1
1
1
4
2
1
3
2
11
1
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
9
2
3
1
1
2
1
1
1
1
1
1
1
3
1
2
1
10
1
147
2
1
2
1
1
2
2
1
1
1
1
1
7
2
9
1
1
1
2
1
1
1
1
1
1
1
1
24
3
2
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
18
15
1
1
1
1
1
8
4
1
1
21
1
2
1
5
1
1
3
1
1
1
11
1
2
4
1
1
1
1
1
1
1
1
4
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
15
9
4
3
1
1
1
1
2
23
1
1
3
1
2
1
1
5
2
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
2
1
3
1
1
1
11
2
3
2
1
1
1
1
2
1
1
1
1
1
4
1
1
13
1
5
2
3
1
1
4
1
8
9
2
1
1
1
1
1
2
1
1
1
5
8
2
1
1
1
1
3
6
1
1
2
1
4
1
14
6
1
5
1
2
6
1
14
1
3
23
1
2
1
2
1
2
12
1
6
3
1
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
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
3
25
2
1
1
4
7
1
2
1
1
1
1
1
1
1
1
9
2
1
5
4
1
1
1
1
19
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
2
2
1
2
1
2
1
1
3
3
2
1
1
1
1
1
1
1
2
1
2
1
4
1
6
1
3
8
7
12
2
1
3
1
1
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
3
3
3
10
1
5
1
1
68
1
3
4
3
5
1
1
1
5
2
1
5
1
1
1
1
9
12
4
2
1
1
1
2
1
1
2
1
6
1
3
1
1
1
1
3
1
1
7
1
1
2
1
1
1
1
4
8
6
5
7
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
14
1
12
1
1
4
1
2
2
1
1
1
1
1
1
1
13
2
7
1
6
2
3
1
5
1
1
1
1
21
7
3
1
2
1
2
3
22
16
22
25
1
6
1
2
7
2
2
3
1
3
1
1
3
18
3
3
1
1
1
1
1
2
14
4
1
1
1
1
1
1
1
1
1
10
1
1
1
2
5
2
1
1
1
2
35
3
1
8
2
2
1
4
24
4
1
1
9
16
6
3
10
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
5
4
2
1
2
2
12
20
13
60
70
2
1
9
3
1
1
1
5
3
1
1
1
1
2
1
4
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
6
12
2
1
1
5
3
2
1
1
1
1
1
1
1
4
7
2
2
1
28
1
3
2
1
1
1
1
1
16
4
1
2
2
1
1
1
1
1
1
1
1
6
7
4
1
1
1
10
9
4
1
2
8
4
7
14
3
1
8
3
1
1
1
1
1
4
1
1
1
2
1
1
7
4
2
1
1
2
2
1
1
1
1
6
1
1
15
13
16
5
1
2
1
2
1
1
1
1
2
3
3
4
2
1
1
1
1
1
1
13
20
16
1
3
1
1
2
1
1
3
6
2
1
3
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
2
2
1
1
4
1
2
1
1
1
1
1
1
4
1
1
1
3
1
1
1
3
35
18
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
2
3
1
1
2
3
1
22
3
15
22
7
1
1
4
1
1
10
1
1
1
1
1
3
1
1
1
3
16
3
1
2
1
5
2
4
4
1
1
2
1
1
1
1
1
1
19
1
1
3
2
9
1
1
1
1
1
1
1
1
11
1
1
2
1
1
1
1
1
1
21
7
14
22
2
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
1
13
14
5
5
1
4
1
8
5
1
1
1
17
1
2
3
51
2
10
10
2
1
1
5
2
1
3
2
1
3
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
2
1
1
3
1
6
13
1
1
10
1
1
1
1
5
5
3
1
11
21
27
1
3
2
1
2
5
11
1
1
1
1
1
1
5
1
1
1
37
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
2
3
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
11
8
1
1
1
2
1
3
3
1
11
17
1
2
5
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
6
1
4
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
22
2
3
6
4
5
2
1
1
1
2
1
1
4
1
1
11
2
1
1
1
1
2
2
60
43
39
2
22
2
3
1
1
1
1
26
1
1
3
3
1
1
16
3
2
5
2
2
1
1
1
5
3
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
15
12
13
2
1
2
1
1
5
1
2
1
3
3
1
1
1
1
1
1
1
1
1
7
2
3
6
4
2
4
1
14
5
1
2
2
3
1
3
3
1
1
2
1
1
1
1
7
6
13
1
3
6
1
1
1
16
1
1
1
1
2
2
1
1
1
9
4
2
1
6
8
1
1
1
1
1
2
2
1
3
1
15
11
9
2
1
1
47
1
1
1
1
2
2
29
1
1
1
1
2
40
2
2
1
1
1
8
5
1
2
2
1
9
1
1
7
20
1
13
3
1
4
1
10
2
1
5
1
2
2
1
1
3
1
69
2
1
1
1
1
2
2
1
1
12
14
4
1
4
1
1
1
9
1
30
13
1
3
1
2
1
3
6
6
2
1
8
15
1
1
1
1
1
31
35
1
1
1
3
1
1
5
1
2
2
2
1
1
3
5
3
4
3
1
4
22
2
3
2
1
2
4
1
1
82
9
1
1
1
1
1
1
1
1
3
2
7
1
7
6
1
3
2
1
4
1
1
1
1
1
1
1
4
1
4
1
8
4
1
1
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
2
1
1
1
6
1
1
55
1
1
1
2
1
159
2
1
2
2
1
1
1
7
6
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
11
3
8
2
1
1
3
1
1
17
12
7
1
1
1
8
2
1
3
1
1
6
1
7
26
20
1
2
1
2
7
1
1
2
1
1
1
1
1
11
1
3
1
1
1
1
6
1
4
1
2
1
1
1
21
23
7
4
1
3
1
1
1
5
2
5
3
19
15
12
1
1
2
1
1
1
1
10
2
3
1
2
1
9
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
4
7
1
1
2
4
1
1
7
15
1
1
1
25
1
2
1
2
2
1
2
1
1
1
1
1
1
1
1
2
30
14
9
2
30
25
1
1
3
5
1
1
1
1
1
1
1
1
2
6
2
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
7
11
1
1
1
1
1
1
6
2
1
1
1
1
2
2
1
2
1
1
12
10
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
3
14
10
4
4
1
1
2
2
1
1
5
3
1
1
1
1
1
1
1
25
8
1
1
2
16
1
1
1
1
1
1
2
7
1
2
1
1
1
2
1
1
1
1
1
1
2
2
6
5
6
4
1
1
1
1
1
2
1
1
2
1
1
6
1
1
3
3
1
1
1
1
1
2
33
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
9
1
3
1
3
2
1
2
1
1
1
20
5
13
9
7
1
5
5
11
2
16
1
1
5
1
4
2
1
8
2
2
8
2
1
10
4
2
7
3
12
11
3
2
3
5
5
4
2
8
2
8
3
3
2
4
1
1
1
3
16
1
15
5
1
1
1
1
1
1
7
1
1
1
6
5
1
1
2
10
2
1
1
3
8
1
2
14
3
2
7
1
2
8
4
12
1
1
1
7
1
1
1
1
1
1
7
3
2
2
1
14
6
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
2
6
1
1
8
3
1
2
3
7
1
15
2
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
2
1
1
1
1
6
1
1
60
35
2
1
2
1
1
1
1
1
18
6
6
1
1
17
1
50
2
1
1
1
2
1
1
1
1
7
1
1
2
3
4
2
1
5
3
1
1
2
3
2
34
24
20
2
4
2
1
1
3
3
3
1
1
2
2
15
13
1
3
1
11
35
9
3
1
13
7
7
1
1
6
1
1
1
3
2
2
1
1
1
1
1
1
1
2
1
1
1
2
3
1
41
2
1
1
1
1
1
1
1
1
1
1
1
1
4
2
5
11
1
1
1
1
1
1
1
1
1
1
1
1
5
7
1
1
1
1
6
1
1
2
1
1
1
1
1
8
1
1
1
1
1
1
14
13
16
9
8
1
4
1
1
1
2
1
10
7
20
1
2
1
2
33
9
2
3
1
1
3
6
8
8
3
1
1
1
12
9
38
7
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
7
1
20
3
13
18
1
1
1
1
1
1
6
1
27
28
1
1
4
3
2
1
1
1
3
1
1
1
1
1
1
18
14
11
16
1
2
2
1
1
2
1
1
1
1
1
2
3
2
2
3
1
2
4
1
1
2
31
2
5
9
6
3
24
1
10
21
7
3
4
6
2
3
1
2
2
5
4
1
1
1
1
2
1
3
51
1
1
5
5
1
1
1
19
9
2
1
1
3
1
2
2
5
1
11
4
10
1
1
17
9
1
1
1
8
14
12
9
1
1
1
1
1
1
1
2
3
1
3
13
1
1
4
10
1
1
5
1
1
2
1
8
5
8
2
1
1
2
1
1
1
2
6
3
16
11
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
2
29
1
1
11
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
14
16
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
3
1
1
1
3
1
1
2
1
1
1
2
1
2
15
3
1
11
10
1
1
2
1
2
1
1
1
1
2
3
1
19
2
1
1
1
4
5
3
1
1
1
1
11
1
5
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
10
8
8
2
1
1
1
2
4
1
1
1
1
1
8
4
3
15
1
1
7
1
1
1
1
4
2
2
11
2
3
1
2
1
1
1
1
1
2
1
1
12
6
2
3
1
2
3
1
18
6
12
2
1
33
1
1
1
4
11
2
1
7
1
1
1
3
1
2
34
36
2
2
1
1
3
1
1
1
1
10
9
3
1
1
1
2
5
1
1
1
1
1
9
1
3
5
1
1
10
10
2
2
1
1
4
11
13
3
1
1
1
1
2
1
6
1
3
1
2
1
3
2
310
3
1
4
1
1
3
1
1
8
8
1
2
1
1
1
6
1
34
1
1
32
18
14
1
2
4
1
7
2
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
29
1
1
61
1
1
2
3
3
4
3
9
1
1
1
1
1
1
1
1
1
2
1
3
18
19
1
12
7
2
1
1
1
1
1
1
7
1
1
2
1
1
1
2
9
1
1
1
1
1
4
4
1
1
1
8
7
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
12
1
1
4
1
1
1
8
8
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
8
1
1
3
1
1
6
1
1
1
1
1
1
4
1
2
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
7
7
6
2
1
3
1
1
1
2
7
1
1
1
4
9
1
1
1
1
1
4
3
47
1
2
1
1
1
9
1
2
2
7
8
4
1
1
1
3
2
1
1
1
2
1
5
1
2
1
2
1
2
5
8
2
1
1
1
1
3
1
2
3
3
1
3
1
1
10
4
2
6
13
1
1
2
1
2
1
3
11
6
10
2
1
8
2
5
2
3
3
3
1
1
1
2
1
2
1
1
6
4
2
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
5
1
3
4
8
1
2
1
2
2
2
1
1
76
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
8
6
5
2
1
8
2
1
1
5
1
3
5
1
2
1
1
1
1
1
1
5
1
22
23
1
1
1
1
1
12
1
1
1
1
1
2
1
24
1
2
1
1
1
1
1
1
2
1
7
6
5
14
2
2
9
6
1
8
3
4
1
1
2
1
7
1
3
13
18
16
3
3
1
1
1
1
1
1
2
30
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
165
7
2
1
1
1
2
3
10
2
4
2
1
1
1
1
2
10
1
2
1
3
7
1
5
1
1
1
1
1
5
1
3
1
1
1
8
1
1
1
1
4
2
6
1
2
3
1
1
30
3
1
22
16
7
1
1
10
6
23
19
14
1
1
1
1
1
2
2
3
1
75
1
1
5
5
1
4
1
1
17
14
5
2
1
29
1
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
10
1
1
2
2
2
1
1
2
1
1
20
2
1
2
1
3
10
2
1
1
1
2
1
2
1
1
1
1
14
1
1
8
1
1
2
1
2
1
1
2
1
1
34
34
5
2
1
8
2
1
2
1
9
2
4
3
16
46
60
39
29
408
7
6
12
8
1
2
12
21
5
1
2
1
14
5
2
1
1
1
6
1
1
4
2
3
1
2
1
1
1
1
1
1
20
2
1
1
2
5
1
4
1
2
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
13
18
3
15
2
32
43
25
1
1
1
1
1
1
1
1
1
1
8
1
1
2
5
3
1
2
2
5
7
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
5
1
1
5
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
30
30
6
6
1
1
1
1
1
2
2
1
4
1
4
11
1
2
1
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
1
1
1
1
2
1
2
1
3
2
2
4
1
1
1
1
1
2
5
1
1
3
4
2
2
2
1
2
1
1
1
5
8
1
6
5
1
4
5
4
5
2
1
3
1
1
2
1
1
3
4
1
1
1
9
3
3
15
1
4
4
1
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
9
5
4
1
1
6
1
1
1
2
2
1
2
1
1
1
1
13
1
1
2
3
3
3
827
10
1
24
23
3
5
1
1
1
1
3
3
4
1
1
1
25
2
3
28
25
5
1
1
1
1
25
16
22
1
1
5
1
3
1
1
2
12
18
1
1
31
5
1
2
4
6
1
1
63
3
3
14
14
1
1
26
4
2
1
3
1
5
5
1
1
5
2
2
1
2
1
1
5
1
2
1
1
3
1
13
1
2
2
1
7
2
8
3
1
3
3
8
4
1
1
1
1
1
1
1
1
1
2
1
2
4
2
2
1
1
1
2
1
2
19
20
2
2
7
99
600
1
2
3
1
2
5
3
1
1
22
1
3
1
1
8
11
9
1
1
4
4
4
1
1
1
1
22
1
2
2
2
1
1
1830
5
1
1
2
1
2
1
1
43
2
1
20
3
4
1
1
3
2
4
2
9
1
1
1
1
1
1
1
1
90
1
2
2
5
1
418
68
81
271
2
1
1
24
28
2
3
5
1
2
1
1
2
1
6
6
4
11
12
9
19
1
139
3
3
2
1
2
2
1
1
9
3
4
9
4
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
14
3
2
4
1
1
1
381
392
15
631
12
1
1
1
2
1
2
1
1
3
