2
28
2
27
3
15
19
10
1
3
1
1
2
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
3
1
1
4
1
2
1
1
2
1
1
1
19
7
1
3
3
3
1
1
2
2
1
2
1
3
1
1
1
1
1
1
1
1
1
5
4
1
1
1
4
3
2
21
1
1
1
1
1
1
1
2
1
1
15
5
1
1
1
1
5
2
1
1
20
2
3
1
2
1
2
1
4
1
3
1
1
1
2
4
1
1
26
1
2
1
8
5
1
1
1
2
1
4
4
1
1
3
1
4
1
4
1
2
2
2
1
1
1
1
3
1
12
1
10
1
3
1
1
1
1
1
4
1
1
2
3
1
1
3
7
2
1
2
2
31
1
1
1
1
3
13
1
1
1
4
1
1
2
1
1
1
5
1
3
1
1
28
1
5
1
1
1
3
1
1
15
1
1
2
1
3
3
4
1
1
1
1
1
1
4
5
2
1
4
1
1
23
5
2
1
1
3
6
1
7
1
1
1
1
1
1
1
11
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
1
6
1
2
3
2
2
1
1
1
3
3
1
2
3
1
1
1
3
1
1
1
1
2
1
2
4
1
1
1
1
2
2
1
3
1
2
2
2
1
1
1
1
4
1
1
1
1
2
2
4
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
2
1
1
5
1
1
1
1
4
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
2
2
2
1
11
4
45
4
2
1
1
1
4
2
3
1
7
1
3
3
2
9
1
3
4
4
1
1
4
1
7
2
1
2
1
6
1
1
2
1
8
1
1
1
2
1
2
2
1
1
1
1
2
4
1
4
1
1
1
2
1
1
1
1
6
1
1
1
1
2
1
1
1
5
2
1
8
3
1
2
2
2
1
1
11
1
1
2
1
2
1
2
1
2
3
1
2
2
3
1
1
2
1
1
1
3
1
1
1
2
3
1
3
1
2
1
2
3
1
2
1
1
4
1
1
1
1
1
2
1
1
3
2
1
1
4
1
5
2
1
1
1
4
2
1
1
1
1
7
1
1
1
7
1
1
1
1
8
1
27
1
3
1
1
1
1
1
1
3
11
3
2
2
1
2
1
2
1
4
6
3
3
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
2
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
9
3
1
5
1
1
1
5
1
6
1
4
1
2
1
1
1
1
2
2
1
1
2
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
2
1
2
5
1
2
1
1
1
1
1
1
1
1
2
1
2
2
17
1
2
1
22
1
1
2
1
1
3
1
1
1
1
12
1
1
1
1
1
1
9
4
2
1
4
2
5
2
1
3
1
1
1
1
2
1
1
1
11
9
1
4
1
1
3
3
2
2
1
14
1
7
1
1
2
3
1
1
1
1
1
4
1
1
2
2
2
1
4
1
5
2
1
3
4
2
1
1
2
2
1
2
2
1
1
1
1
1
3
4
1
1
5
5
2
1
2
1
2
2
29
3
1
2
1
1
1
1
1
2
1
5
4
1
1
1
1
3
1
1
5
1
3
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
8
4
2
5
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
20
1
1
1
1
1
2
2
1
3
1
2
2
1
1
6
1
2
2
2
1
1
5
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
3
5
1
1
1
3
1
1
1
5
1
3
1
2
1
1
1
2
6
3
2
4
1
1
1
1
5
1
5
2
1
1
1
1
1
1
22
21
1
15
1
1
5
1
3
1
1
1
5
1
2
2
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
1
5
1
1
1
1
2
11
2
1
1
1
2
2
1
1
1
3
1
1
1
9
2
1
3
2
1
2
3
1
3
1
1
1
1
1
1
1
5
5
1
1
1
1
1
6
3
2
1
1
1
1
2
2
4
13
1
1
1
1
1
1
1
1
3
4
1
1
1
6
12
1
1
1
2
1
1
2
3
1
1
2
6
1
1
2
1
1
1
1
10
2
1
12
1
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
8
3
2
1
1
10
7
3
1
1
2
1
1
1
1
1
1
18
1
4
1
1
6
1
1
1
1
3
1
3
6
1
1
4
1
2
1
4
1
4
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
2
9
1
2
1
6
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
2
2
6
6
1
1
1
1
1
1
3
1
4
2
1
3
1
1
1
1
3
1
6
1
14
1
3
1
1
1
30
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
7
8
3
1
1
2
2
1
1
2
2
1
2
3
4
2
2
1
2
2
1
1
2
12
1
1
11
2
4
1
2
1
1
1
1
2
1
3
1
5
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
2
1
5
2
6
1
1
1
7
1
5
1
2
1
3
1
1
1
1
2
1
1
1
1
1
2
1
8
1
1
1
3
1
1
1
3
2
1
1
1
2
1
2
1
2
1
1
1
1
2
1
2
2
4
2
2
1
3
1
1
1
1
1
1
2
1
1
7
3
2
1
1
1
1
2
1
1
1
56
2
2
1
1
5
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
3
2
2
4
1
1
1
1
1
1
2
2
2
2
3
9
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
3
3
1
2
2
2
6
7
32
2
2
1
1
1
1
1
1
13
5
2
1
2
2
1
1
12
1
1
2
1
1
1
3
1
1
1
1
22
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
25
3
1
1
6
1
1
3
1
1
1
1
1
1
2
1
1
3
2
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
2
6
1
1
1
1
1
7
5
2
1
1
1
3
2
1
1
2
1
1
10
1
4
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
11
1
1
8
3
1
1
2
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
13
1
1
1
2
3
1
2
1
2
4
1
2
2
1
1
2
1
1
1
1
1
4
3
4
9
21
3
12
1
1
1
1
1
1
2
1
1
1
4
4
2
1
1
1
1
2
1
2
2
3
1
1
1
5
1
1
2
1
2
1
7
1
9
5
1
1
1
1
11
4
1
21
1
1
2
1
10
3
6
2
3
1
1
10
1
1
1
7
1
1
1
4
1
3
1
5
3
9
3
2
1
14
4
1
4
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
4
1
1
1
1
3
2
1
1
1
1
1
2
5
1
1
1
1
2
1
1
2
1
68
2
1
1
1
2
1
2
4
5
1
2
1
1
1
2
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
1
1
1
1
31
1
3
1
2
1
2
4
1
1
3
3
8
1
4
2
2
1
2
2
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
11
1
1
3
2
1
2
2
4
1
2
1
1
1
1
6
1
1
1
3
1
9
1
9
1
2
1
1
3
1
3
31
2
17
2
2
1
2
3
1
1
1
2
1
1
1
1
32
1
2
2
1
1
11
2
1
1
1
1
1
1
2
1
3
3
2
1
1
4
2
1
1
2
1
1
2
1
2
1
1
2
1
3
3
1
1
1
2
1
1
1
1
5
3
4
1
2
1
3
3
1
1
2
1
1
1
3
1
2
3
1
1
1
2
1
1
1
1
10
1
7
3
2
1
1
4
2
1
1
2
2
1
17
1
1
1
2
4
1
1
2
1
18
1
1
3
14
1
3
3
1
1
1
1
4
2
1
10
1
4
3
1
1
3
1
2
2
3
1
1
4
1
1
1
1
4
2
1
1
2
1
8
1
3
1
2
1
1
3
4
2
1
2
1
1
1
2
1
5
1
2
1
1
1
2
1
2
1
10
6
10
1
1
1
1
23
2
1
1
1
7
3
3
1
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
3
1
8
1
1
1
2
1
1
1
1
1
2
6
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
7
2
1
2
54
7
4
10
1
2
4
1
1
2
1
1
1
2
2
2
1
1
2
3
1
4
1
6
1
6
1
1
9
3
4
2
2
1
1
2
1
1
11
1
2
5
1
2
1
1
2
1
1
1
3
1
2
1
1
1
3
1
1
1
4
60
3
1
14
1
5
1
2
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
5
11
3
1
2
1
1
3
1
4
2
1
2
1
1
1
1
1
3
1
1
2
1
3
3
2
2
3
1
1
1
5
1
4
3
1
7
1
1
1
4
2
5
1
1
1
1
2
1
1
1
1
4
16
1
1
1
3
1
32
3
1
1
1
2
1
2
2
1
2
1
1
1
1
1
2
1
2
1
1
3
1
2
1
1
1
2
2
1
1
1
1
21
1
1
1
1
2
1
1
2
1
1
1
1
1
5
10
9
4
1
1
1
3
1
1
2
1
1
8
1
3
1
1
1
2
2
3
2
1
1
2
11
1
7
2
1
5
1
4
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
4
2
1
2
1
1
2
1
1
2
1
8
1
1
2
2
5
3
2
2
2
1
3
1
1
1
1
2
1
3
1
2
1
1
1
1
2
2
1
3
2
1
1
1
3
2
1
1
1
2
1
3
2
1
6
1
1
1
1
1
1
2
2
3
1
2
3
5
23
1
1
1
2
1
1
6
4
1
8
1
1
2
2
1
2
1
1
2
1
1
2
1
1
1
1
2
3
24
3
1
3
1
6
2
1
1
2
7
2
1
4
3
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
3
43
1
1
9
1
1
59
16
3
1
1
1
1
1
1
1
1
1
1
4
3
1
1
3
1
2
1
3
1
2
1
2
1
1
1
9
2
5
10
1
2
3
1
5
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
2
4
1
3
3
1
1
1
1
1
3
3
2
2
1
29
2
1
1
2
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
3
1
1
2
1
2
1
1
2
2
2
2
3
1
1
1
1
1
1
6
5
1
1
1
3
4
2
1
2
2
2
1
2
1
3
1
2
3
2
4
4
1
1
2
2
4
2
1
27
7
10
1
1
1
1
1
1
2
1
1
1
1
1
2
1
11
4
2
3
2
1
5
5
1
1
1
3
1
4
1
1
3
1
1
1
1
2
1
1
2
1
2
71
1
1
1
1
2
1
1
1
1
2
2
2
1
3
3
3
4
3
4
4
1
3
1
2
6
1
1
11
5
4
1
5
1
1
1
1
1
2
1
1
9
2
4
1
2
1
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
3
3
6
1
1
1
1
1
5
2
4
3
1
2
5
3
2
2
1
2
1
1
5
1
1
1
1
1
2
2
5
1
1
1
1
4
1
2
1
1
1
1
1
2
1
2
2
1
1
11
2
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
43
1
1
1
1
13
1
1
2089
3
1
1
1
2
3
1
1
1
1
1
2
1
1
4
2
1
3
1
1
1
1
1
2
1
2
1
2
2
3
1
2
1
19
2
8
3
2
1
2
1
2
1
1
1
4
1
4
2
3
1
2
3
2
3
1
4
1
2
1
2
1
1
1
1
2
3
1
1
4
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
5
1
1
1
1
2
1
1
2
1
1
1
2
5
3
1
5
2
2
2
1
2
2
7
2
6
1
2
1
4
1
4
1
80
1
2
1
1
1
2
2
20
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
4
18
1
1
4
1
1
1
2
6
6
1
1
2
1
1
10
5
4
1
1
1
1
1
16
1
1
1
1
2
1
1
1
1
1
2
2
15
1
1
1
7
12
3
1
1
1
2
1
1
1
1
3
41
1
8
1
1
2
8
2
4
2
1
1
5
1
1
2
1
2
1
1
11
3
3
1
1
1
1
3
2
2
2
1
9
2
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
2
1
1
3
8
3
6
1
4
1
1
1
2
7
2
1
2
4
2
4
1
4
1
1
2
1
1
1
3
12
6
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
9
1
1
1
16
1
1
1
1
10
2
2
1
1
2
1
1
1
1
1
1
1
1
4
1
2
2
1
3
1
2
1
1
1
4
4
1
7
2
1
1
1
1
1
9
1
1
2
1
2
1
1
1
36
2
1
1
3
6
10
1
1
2
1
2
1
1
3
2
1
1
1
1
2
1
1
1
2
5
1
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
2
1
4
1
2
4
12
4
1
1
1
1
1
1
6
1
1
1
7
7
7
2
2
1
1
1
1
2
1
1
3
2
5
1
1
1
2
1
3
2
2
1
1
4
2
3
1
3
1
3
1
1
1
3
2
2
1
1
1
1
13
1
1
8
9299
1
5
11
1
1
3
2
2
1
1
1
1
1
2
2
7
4
1
3
1
7
1
1
1
1
1
2
3
3
1
1
1
1
1
7
3
1
1
2
5
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
2
3
1
1
1
2
4
4
44
2
7
1
1
1
2
1
1
1
1
2
3
4
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
31
5
2
1
1
1
2
1
1
1
1
1
2
1
1
7
1
2
7
3
1
7
1
1
1
4
1
1
6
2
6
1
2
1
1
1
2
1
7
1
1
1
3
3
41
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
2
4
1
1
2
1
1
1
1
2
1
1
6
1
1
2
1
1
2
6
26
1
1
2
2
1
2
2
3
1
1
1
8
2
2
4
3
2
1
4
1
1
5
1
1
1
1
1
2
1
1
2
2
3
1
3
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
2
1
1
4
1
1
1
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
8
3
8
1
2
1
1
44
1
1
2
1
1
2
1
3
1
1
2
1
3
2
1
2
1
7
1
1
1
1
1
1
1
3
2
5
2
2
3
30
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
37
5
2
1
2
5
2
2
1
1
1
1
1
1
2
1
1
1
1
17
1
1
1
2
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
2
1
1
1
2
1
2
1
1
2
1
2
2
5
1
1
2
1
1
2
1
3
1
1
4
2
1
1
1
4
2
1
1
1
2
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
2
1
7
10
6
1
2
1
1
1
1
5
43
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
4
2
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
2
1
1
1
22
1
1
1
1
2
1
1
1
3
2
2
1
1
2
2
1
1
1
1
2
2
3
16
7
1
1
1
5
1
2
2
1
4
2
1
1
1
1
1
1
1
1
1
1
2
2
1
2
7
4
1
5
6
1
6
1
2
1
1
1
1
2
1
1
1
4
5
6
4
2
1
1
1
2
1
2
2
2
5
1
1
1
1
1
3
1
3
3
2
2
1
1
1
1
3
1
1
1
4
2
2
1
2
3
25
2
6
3
2
2
1
1
2
1
25
5
5
1
1
5
1
1
10
1
1
1
4
1
1
1
5
1
1
2
1
1
1
1
4
1
8
2
15
1
15
1
4
2
1
1
6
1
1
1
5
1
1
3
1
1
2
1
1
1
1
1
1
6
13
1
1
1
1
7
1
7
1
1
2
1
1
2
1
2
2
2
1
5
1
60
2
1
4
1
5
1
1
1
2
1
2
1
4
1
1
1
1
4
2
1
1
5
1
1
3
1
1
3
1
5
7
4
1
1
1
1
1
3
1
1
7
3
1
1
3
1
3
3
1
1
1
1
2
16
19
4
1
1
1
1
3
1
1
6
1
3
1
1
1
1
4
12
1
1
7
3
1
27
1
1
4
10
3
2
1
2
3
2
1
2
1
5
6
1
1
1
21
1
2
2
3
2
1
1
11
10
1
1
1
1
3
1
1
2
1
1
1
2
1
1
2
1
2
1
3
1
1
1
1
1
2
11
1
1
1
1
3
1
2
3
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
2
2
1
1
1
1
1
3
2
2
3
1
1
1
1
1
1
2
4
1
2
4
6
1
1
1
1
2
1
4
6
1
1
1
7
1
1
1
1
1
1
2
1
1
1
3
2
2
1
1
1
2
2
1
6
1
5
1
1
2
1
1
4
1
1
1
1
1
2
1
1
1
1
2
1
8
1
1
3
1
2
2
6
1
1
1
5
4
4
1
2
3
1
1
1
1
4
1
1
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
4
9
3
1
1
25
2
15
3
1
1
1
2
2
17
1
1
1
2
1
1
4
1
1
3
1
3
1
1
1
2
2
6
1
1
1
1
1
2
2
1
1
1
4
3
1
3
1
1
1
2
2
4
1
1
1
2
1
1
3
3
1
3
2
1
4
1
1
2
1
2
3
1
1
1
4
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
2
1
2
5
1
1
5
1
2
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
5
1
1
5
1
2
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
3
2
1
2
2
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
5
2
1
2
3
2
1
1
2
1
1
1
2
1
1
1
3
2
1
1
1
1
1
3
2
1
1
5
3
5
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
7
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
3
1
2
2
1
1
2
1
1
11
1
3
5
1
2
3
2
1
1
1
2
1
2
2
1
1
3
1
1
1
1
2
2
1
6
1
1
1
1
1
2
2
1
2
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
4
1
1
1
1
3
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
3
2
2
1
3
1
2
1
2
3
2
1
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
4
2
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
4
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
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
2
1
1
1
1
1
3
1
1
1
1
1
2
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
3
5
1
1
2
5
2
1
1
1
1
1
1
2
1
1
2
1
1
2
1
3
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
2
1
1
1
1
2
1
1
2
3
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
2
1
1
1
1
1
1
1
79
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
2
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
11
1
1
1
1
1
1
1
2
2
1
3
1
1
2
2
1
2
1
6
2
1
1
1
1
3
2
2
1
2
2
1
1
4
1
1
1
1
1
1
3
1
2
1
5
1
1
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
19
1
2
3
1
1
1
1
1
1
1
9
7
1
1
1
1
2
1
1
2
2
1
31
5
3
1
2
2
2
1
1
2
2
4
1
1
1
1
1
1
818
3
1
2
2
1
4
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
6
5
2
1
1
1
1
2
5
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
2
1
1
4
2
2
1
1
2
1
1
2
1
1
1
1
3
7
1
1
1
7
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
8
3
1
1
1
1
1
1
2
1
1
1
9
1
1
2
1
1
1
2
2
2
1
3
5
2
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
2
2
2
4
1
1
1
1
4
2
2
1
1
3
1
6
3
1
1
1
3
2
1
6
1
1
1
1
1
2
1
11
2
2
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
15
1
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
5
3
1
1
5
10
1
1
1
1
2
1
1
2
1
1
1
8
1
1
1
1
1
1
1
2
3
2
1
1
1
1
4
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
4
4
1
1
2
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
1
1
1
3
1
1
5
4
1
2
3
1
2
2
1
2
1
1
1
1
1
1
3
4
1
1
1
27
7
1
1
2
4
1
1
1
1
7
2
1
1
2
3
2
3
1
1
1
3
2
1
1
1
33
8
1
2
1
1
1
1
1
1
2
1
3
1
5
2
2
1
2
3
5
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
1
4
1
4
2
2
1
1
1
1
2
1
2
1
1
1
4
1
1
1
20
13
1
1
1
1
4
2
1
1
1
1
1
1
1
14
2
3
1
7
1
1
1
2
2
3
1
3
1
1
2
1
1
4
4
1
1
1
1
1
1
5
3
1
22
4
1
1
1
3
1
9
2
1
1
6
1
2
2
2
1
1
4
1
2
1
4
1
1
1
1
1
1
3
1
3
4
5
1
3
1
1
2
1
2
1
14
1
1
1
1
4
1
1
1
1
1
1
4
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
3
2
1
1
2
1
7
1
2
1
1
1
1
29
1
2
5
1
1
31
1
2
1
1
1
1
2
1
1
2
1
3
3
1
1
2
16
4
1
1
1
1
3
1
2
1
3
7
1
1
1
1
1
1
1
1
2
2
1
1
9
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
5
1
1
9
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
1
2
1
1
4
1
2
1
1
2
5
2
1
13
2
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
9
1
1
2
1
1
3
3
1
2
1
1
1
1
1
1
1
3
1
1
1
13
3
1
1
1
1
1
1
1
2
4
2
1
1
1
6
6
1
2
1
3
1
1
1
4
1
1
1
1
1
1
2
2
1
1
1
4
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
4
1
3
6
1
1
1
1
1
4
4
2
1
1
1
4
20
3
2
1
1
1
1
5
1
1
1
1
1
1
3
2
1
1
2
1
4
7
1
4
1
2
1
6
1
3
9
1
3
1
1
3
2
1
1
1
1
1
4
1
4
2
13
2
1
1
1
1
2
2
2
4
1
1
2
3
1
1
3
2
7
11
1
8
2
1
1
1
1
1
1
1
2
2
1
6
1
4
1
1
1
1
3
3
1
1
2
2
2
1
1
5
1
1
2
1
1
1
1
1
1
34
25
1
4
1
1
3
1
1
1
4
2
5
3
1
2
1
1
2
1
1
7
1
3
1
3
82
1
2
14
1
4
1
1
1
12
1
1
1
1
1
7
3
7
5
1
2
15
1
1
1
1
1
1
1
1
1
1
1
7
1
6
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
8
1
2
1
1
3
1
2
1
1
1
1
14
19
3
3
4
1
1
1
1
1
1
2
1
1
2
1
4
4
3
1
4
1
2
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
21
1
2
9
2
2
5
1
3
1
2
5
1
1
1
5
12
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
2
3
2
2
1
1
1
2
3
1
1
2
1
1
1
57
2
3
4
1
3
43
1
1
1
1
1
1
5
1
1
1
1
3
7
5
1
1
1
9
1
2
13
2
1
1
3
2
2
1
6
9
1
8
1
3
1
1
2
5
1
1
3
7
2
1
1
1
1
1
1
2
3
1
2
2
1
1
11
2
5
1
3
1
2
4
3
1
4
2
2
3
1
11
1
7
1
1
1
2
2
1
1
1
1
11
4
1
10
1
6
1
1
5
1
1
3
1
1
4
1
1
3
1
1
1
1
1
4
2
1
1
3
2
1
3
1
3
6
1
1
1
9
1
1
1
5
2
4
1
5
1
1
1
1
1
2
2
9
2
1
2
1
1
2
1
2
1
89
1
1
2
1
1
10
2
1
1
2
1
2
1
1
4
1
1
2
3
1
1
2
2
2
1
1
7
1
2
1
2
5
2
13
1
1
2
7
1
1
15
1
3
1
1
10
1
1
4
1
1
2
2
4
3
4
1
1
2
1
4
2
2
2
1
3
6
1
1
4
1
1
2
1
1
1
1
2
4
1
2
2
1
1
1
2
4
1
7
3
1
1
16
1
1
1
2
2
1
1
2
4
7
1
3
8
1
2
4
2
2
1
1
2
1
2
2
1
3
1
1
1
1
1
10
3
2
2
1
7
7
5
1
1
4
1
1
12
4
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
2
167
1
1
3
3
1
9
2
2
4
14
9
2
2
3
2
1
4
1
2
3
2
2
4
1
2
1
1
1
2
1
4
1
1
1
9
4
1
1
1
1
22
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
4
1
5
1
3
1
1
1
3
2
2
1
2
1
15
2
1
1
1
3
5
3
1
1
2
2
1
1
1
6
5
1
1
1
2
1
1
5
2
8
1
2
1
3
2
1
4
1
1
1
19
1
1
6
3
2
1
1
1
2
1
1
1
1
1
1
1
1
6
413
1
2
1
1
1
3
4
3
9
8
2
1
8
15
1
5
1
2
1
1
1
1
1
1
2
5
1
7
1
9
9
9
4
7
5
8
3
2
1
1
2
1
9
1
1
1
1
1
1
1
3
1
1
1
2
1
14
1
4
7
1
1
1
2
3
1
2
1
2
1
2
1
1
1
1
1
1
9
1
1
1
2
4
2
5
1
1
2
1
5
1
3
1
1
1
4
3
1
1
1
1
1
1
