16
1
2
1
1
1
1
1
2
1
1
2
1
2
2
2
1
1
6
1
1
4
1
1
1
1
1
3
2
1
3
2
3
1
1
1
2
1
1
1
1
1
14
7
1
2
4
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
2
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
7
1
2
1
1
1
2
1
2
2
3
1
5
1
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
1
34
1
1
1
1
3
1
2
2
1
1
1
2
6
1
1
1
1
1
1
1
3
2
2
23
1
1
1
1
1
1
1
2
34
3
1
2
1
1
4
1
5
1
1
1
2
24
3
3
1
1
1
1
2
10
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
2
1
1
5
2
1
1
1
1
1
6
1
17
1
1
1
2
1
1
1
2
2
4
4
1
1
1
5
1
1
2
1
1
1
1
4
2
1
2
3
1
1
1
1
1
4
1
1
1
3
1
11
1
1
3
1
2
1
1
2
2
5
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
5
2
8
2
1
1
1
1
1
3
4
1
1
2
1
1
1
1
1
1
5
1
1
2
1
1
1
49
2
3
1
7
2
2
1
1
1
1
1
1
2
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
5
1
1
1
10
2
1
1
1
1
1
2
1
2
2
1
1
13
6
1
2
3
2
2
2
1
1
6
1
1
4
1
4
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
2
2
2
2
1
1
1
1
1
1
1
2
18
2
1
2
1
1
1
1
1
16
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
2
2
1
6
2
1
1
1
1
2
4
1
1
2
1
3
3
1
1
1
2
1
10
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
13
5
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
2
1
1
4
1
1
1
9
1
2
1
1
3
10
4
1
4
1
4
1
1
1
1
1
1
9
1
1
1
1
1
2
3
1
1
200
1
1
1
1
2
1
1
1
1
2
1
1
1
1
5
1
1
5
3
1
7
1
1
1
1
1
1
1
2
1
1
6
2
5
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
1
1
32
1
1
1
1
1
1
2
1
1
2
1
7
2
2
1
2
1
1
1
1
1
1
1
3
44
1
1
9
1
2
1
1
1
1
1
1
1
1
2
1
1
1
4
6
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
10
7
2
1
2
2
6
1
1
3
2
1
1
1
14
1
1
1
1
1
6
1
2
1
1
1
1
1
2
1
2
2
2
1
1
1
2
1
1
4
2
1
1
6
2
1
1
3
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
48
3
1
1
2
1
2
2
1
2
2
1
1
1
1
3
1
1
1
1
24
1
1
1
2
3
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
2
1
2
3
1
1
2
1
1
2
1
1
1
2
1
1
1
2
5
1
1
1
1
8
1
2
5
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
3
1
2
2
7
1
1
1
1
3
5
1
2
1
1
2
2
45
1
1
4
2
1
1
1
2
5
1
6
1
1
1
2
1
4
3
1
1
1
1
1
1
7
6
1
1
1
1
4
1
1
7
1
1
2
24
1
11
1
1
1
2
1
2
6
2
4
1
1
1
1
1
3
1
1
1
1
1
1
4
3
2
1
1
2
1
1
4
2
16
1
1
3
1
2
3
3
4
99
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
14
1
1
1
1
1
1
2
1
4
1
1
1
4
1
1
1
1
3
2
1
1
3
1
6
16
1
1
1
2
1
1
1
3
1
1
1
4
1
5
1
1
1
1
1
1
3
1
4
1
1
1
1
3
1
1
1
1
32
1
1
2
1
1
1
1
1
1
4
1
1
1
3
2
7
1
1
1
1
1
1
10
1
8
1
5
1
2
33
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
5
6
2
3
3
1
1
8
1
1
1
1
5
2
4
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
2
21
1
7
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
9
1
1
1
1
1
1
2
2
1
1
2
1
3
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
1
1
4
2
1
47
1
2
1
1
1
1
2
1
1
1
1
1
3
5
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
2
1
2
2
1
1
4
2
1
9
1
1
1
2
1
1
1
2
1
1
4
2
3
3
3
49
3
2
1
1
5
1
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
8
5
1
20
13
1
1
1
1
1
2
1
1
2
1
1
1
1
1
9
1
1
1
4
1
7
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
2
2
1
1
12
3
2
1
1
5
2
2
4
1
3
1
2
1
1
1
11
1
5
1
1
1
1
1
1
1
1
42
1
1
2
1
1
2
1
2
1
10
5
1
1
3
1
1
1
1
1
2
1
1
1
2
1
3
1
5
1
3
2
1
1
2
4
2
1
1
3
2
3
1
1
1
1
1
1
2
1
4
2
7
1
4
4
1
3
1
1
9
3
2
1
2
1
1
1
4
1
4
1
1
1
1
13
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
4
1
2
2
1
1
1
5
3
1
1
1
1
1
1
1
1
2
3
4
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
2
1
3
1
1
1
1
1
1
1
6
4
1
1
5
3
1
1
1
1
4
4
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
11
1
4
2
1
1
1
4
1
1
1
1
2
3
5
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
4
6
2
1
2
2
1
1
1
3
1
1
2
1
1
3
3
2
1
1
4
1
2
12
9
1
1
2
1
2
1
1
1
1
6
3
2
1
1
5
3
1
1
1
2
2
1
1
8
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
23
1
4
1
1
15
1
1
4
1
3
1
1
1
2
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
3
1
9
14
13
1
1
6
1
1
3
1
1
1
2
2
1
1
2
1
1
3
1
10
5
1
1
1
1
1
8
5
1
2
6
4
1
1
1
9
7
3
1
1
20
1
2
2
1
1
1
2
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
2
14
1
1
1
1
2
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
4
1
1
1
1
1
6
1
2
2
1
1
1
1
1
1
1
1
11
2
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
2
1
2
1
1
2
4
1
3
4
1
8
1
1
2
1
1
1
6
1
8
1
2
1
2
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
7
1
1
1
1
3
1
2
4
2
1
1
1
2
1
2
3
1
1
1
1
1
1
4
11
1
2
1
1
15
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
5
1
1
2
1
1
1
1
2
1
2
1
27
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
5
1
1
1
1
6
2
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
4
1
1
1
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
2
2
1
4
3
1
1
1
4
1
1
1
2
1
4
1
1
2
1
1
1
1
2
2
2
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
2
1
4
1
1
1
1
1
1
6
1
1
1
1
1
2
2
2
4
1
1
3
1
1
1
2
1
1
1
1
1
1
2
4
1
7
1
1
1
5
2
1
1
1
3
1
18
1
2
1
2
1
2
2
2
1
1
2
1
1
1
1
1
1
2
1
2
5
1
2
3
2
1
1
8
1
2
1
1
1
3
1
64
1
1
1
2
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
2
19
1
18
1
3
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
26
1
1
4
1
3
1
1
1
1
20
1
1
4
11
2
3
1
1
3
2
1
1
4
1
1
1
8
1
2
1
1
13
7
2
1
1
6
1
1
1
2
1
1
1
2
2
1
2
3
2
1
4
1
1
1
1
4
2
2
1
1
1
1
4
1
1
4
1
5
4
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
3
1
1
1
18
1
1
2
1
1
11
1
3
1
3
1
1
1
2
2
56
1
1
1
1
1
2
1
1
11
5
2
1
3
7
5
1
4
2
8
4
2
1
1
1
1
7
7
2
1
1
1
4
1
1
1
1
9
2
2
2
2
2
4
1
1
1
1
4
1
1
1
1
3
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
3
1
1
1
1
5
2
1
1
3
1
1
1
7
1
5
1
1
5
1
1
1
2
1
5
1
1
1
1
2
1
1
1
1
37
1
2
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
2
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
2
1
1
1
1
1
1
2
1
4
2
2
1
1
1
2
2
1
1
2
2
1
1
1
1
9
1
1
1
1
4
2
2
1
11
3
1
1
1
4
1
1
1
1
4
1
1
1
1
1
2
2
4
1
1
1
1
1
5
1
2
1
1
3
13
9
1
1
1
1
6
1
1
4
1
1
3
1
1
3
1
1
2
1
1
1
1
4
1
4
1
1
2
1
1
7
1
2
1
1
8
22
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
5
3
2
2
1
2
3
1
2
1
2
1
6
1
2
2
1
1
1
2
2
1
1
1
1
3
4
1
1
1
3
1
4
1
1
309
1
3
1
1
1
1
5
1
1
3
9
1
3
3
1
68
1
1
1
1
3
2
1
1
2
3
1
1
3
1
8
2
1
2
5
1
2
1
1
1
2
1
1
1
1
20
1
1
4
1
1
14
1
1
2
2
1
1
3
2
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
4
3
2
1
5
1
1
1
1
1
2
1
1
1
1
3
4
1
1
1
1
1
1
1
2
2
2
1
5
1
2
1
2
1
1
8
1
1
1
1
6
2
4
1
6
2
1
1
1
2
2
2
1
1
1
1
1
1
10
1
1
1
1
1
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
3
1
1
4
1
3
1
2
3
1
1
2
1
4
1
1
1
2
1
1
1
11
1
32
1
2
1
1
1
2
1
3
1
1
1
1
1
3
2
7
1
2
1
1
1
84
1
1
2
1
3
1
1
1
4
4
1
1
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
2111
1
1
5
1
2
2
1
2
6
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
19
2
4
2
3
8
1
1
1
3
1
1
1
1
2
1
5
1
1
1
2
2
1
2
1
1
4
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
2
1
5
1
2
1
1
2
1
1
1
12
1
3
1
3
2
1
4
1
1
2
1
11
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
2
7
1
3
20
1
1
39
1
2
1
1
1
2
1
25
1
1
1
4
2
2
3
1
1
2
1
1
1
1
4
1
1
1
3
1
3
1
1
1
4
1
1
50
1
1
2
22
3
1
1
1
1
4
1
2
9
11
4
1
35
2
1
1
1
1
16
18
2
1
1
1
5
1
1
11
1
1
2
2
3
1
1
3
2
1
3
1
31
1
1
2
1
1
3
5
1
1
1
1
1
1
1
3
3
1
1
1
1
2
2
2
3
1
1
1
6
1
2
1
3
1
2
1
1
1
2
4
1
2
2
1
1
2
2
1
1
2
1
4
2
7
1
1
1
2
1
1
5
2
1
1
8
1
1
1
2
8
1
1
2
1
1
1
2
1
1
4
1
2
1
239
3
1
1
1
2
2
1
1
1
4
6
2
1
7
1
1
3
1
1
1
8
8
3
1
1
1
7
1
1
1
1
3
1
1
9
2
1
1
16
2
1
1
2
2
1
1
2
1
1
3
1
5
1
2
1
1
1
1
1
1
2
3
3
1
1
3
1
1
1
1
1
1
1
2
1
4
4
2
1
1
2
1
2
2
1
13
1
1
4
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
3
3
3
1
2
4
8
2
1
1
1
6
2
1
1
1
1
1
1
7
1
1
2
1
2
1
1
1
3
1
2
340
2
2
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
3
1
2
7
6
2
2
1
1
1
3
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
2
15
2
1
2
1
1
5
2
2
2
1
1
1
1
4
1
3
1
1
1
2
1
2
1
1
1
1
1
1
3
2
22
4
5
1
2
1
2
1
1
2
7
1
1
2
3
1
14861
2
3
2
1
1
1
1
3
2
3
1
4
1
1
2
1
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
2
1
1
1
8
4
1
1
1
1
2
1
3
2
1
1
1
1
1
1
2
6
2
2
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
4
1
1
1
3
4
3
1
1
3
1
1
1
1
1
3
1
1
1
1
8
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
5
2
1
4
1
2
5
1
1
1
1
1
4
2
1
2
2
2
1
1
1
1
1
1
1
2
2
20
1
2
2
2
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
2
1
3
5
1
5
1
1
1
1
1
11
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
6
3
1
1
1
8
1
1
1
1
1
1
1
1
9
1
1
1
1
2
2
3
1
2
1
7
1
11
1
1
5
1
12
1
4
1
1
2
1
1
2
3
1
2
1
1
1
3
2
1
2
2
4
2
1
1
9
2
1
1
2
1
1
2
6
26
5
1
5
1
2
1
11
1
1
1
1
3
1
7
1
3
3
2
1
3
1
1
64
3
2
2
1
2
1
1
4
2
1
1
9
3
1
2
4
3
3
2
1
1
3
1
1
8
1
5
1
2
10
1
1
1
1
1
1
1
1
12
6
1
2
1
1
1
1
4
2
1
1
1
8
1
31
5
1
1
1
2
1
2
1
4
1
1
1
1
1
2
4
3
1
1
54
1
4
1
1
3
163
1
1
3
2
2
4
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
13
1
18
1
1
1
1
1
1
6
2
1
1
12
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
11
1
1
1
1
1
5
3
1
1
1
1
1
1
1
13
6
5
1
1
1
1
2
1
1
4
1
1
1
1
3
1
1
3
1
1
1
2
1
1
2
1
2
10
1
1
1
1
1
1
1
1
6
4
1
1
2
1
2
6
16
3
2
3
1
5
5
1
1
1
1
1
1
1
2
2
1
1
2
2
1
1
1
2
1
1
2
1
3
2
1
6
1
2
2
1
3
1
1
1
2
1
12
1
1
4
1
2
4
2
1
1
3
1
1
1
1
3
1
10
1
2
1
1
1
21
1
1
1
1
2
1
1
3
1
15
5
1
1
2
1
1
4
1
1
2
3
1
8
1
1
1
1
2
1
9
1
3
1
1
2
1
1
2
1
8
2
2
1
1
8
1
3
1
2
3
1
1
1
1
1
1
1
1
12
1
1
1
5
3
1
2
5
10
1
1
1
1
1
1
2
1
1
4
1
1
2
1
4
1
1
34
1
3
1
1
2
1
3
2
40
1
1
1
1
1
1
1
1
1
4
1
1
3
1
21
2
1
1
2
2
8
2
1
1
3
1
1
4
1
1
1
1
1
2
2
1
2
1
3
1
1
1
1
2
1
1
1
1
1
7
3
1
3
1
1
2
3
1
1
1
2
1
1
2
1
1
1
1
1
2
1
2
1
3
2
1
2
20
1
7
2
1
1
4
1
7
3
1
8
2
3
5
16
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
6
3
3
1
1
12
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
1
10
2
6
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
5
7
1
4
1
1
1
1
1
1
1
3
5
1
1
1
1
6
6
1
8
2
1
1
1
1
1
3
1
1
4
2
1
21
1
1
1
1
1
1
1
2
1
1
3
1
2
1
2
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
71
1
1
1
4
1
1
1
1
1
3
2
1
14
1
1
2
14
1
1
1
4
1
4
1
1
1
1
1
1
1
1
1
1
3
2
3
3
5
7
2
3
1
1
1
1
1
1
1
1
1
2
1
1
1
5
6
2
1
10
1
1
1
1
3
4
2
1
11
11
4
4
1
1
1
1
1
1
7
4
1
2
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
2
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
2
1
1
3
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
2
7
3
1
1
1
1
2
1
1
1
1
6
1
1
3
1
1
2
1
2
1
1
1
2
2
2
1
1
1
2
1
1
1
1
5
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
4
1
2
2
1
1
1
1
1
1
1
3
2
4
1
1
1
5
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
5
4
2
1
2
1
1
7
2
4
1
3
1
1
1
1
1
1
6
1
3
1
1
1
1
3
1
2
2
3
1
1
1
1
1
2
3
2
1
1
2
4
2
1
2
1
1
2
3
2
1
1
1
5
1
1
1
2
2
1
2
1
2
1
2
1
4
1
1
2
1
1
1
4
1
1
1
1
3
2
2
2
1
2
2
1
2
1
1
1
1
5
1
1
1
1
2
4
3
2
1
1
3
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
4
6
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
5
2
1
2
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
3
1
2
6
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
2
1
1
1
2
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
2
4
1
1
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
2
4
1
4
1
1
1
1
1
1
10
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
7
5
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
2
5
1
1
1
1
1
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
2
1
1
1
2
1
1
1
2
3
1
1
1
1
2
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
140
1
1
1
1
2
1
2
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
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
2
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
2
3
2
4
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
4
4
2
26
1
4
25
1
1
1
2
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
2
1
1
1
1
1
9
6
3
1
1
2
1
5
1
3
1
2
13
2
28
1
1
1
1
2
1
3
1
2
13
49
53
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
13
5
2
19
19
3
1
1
1
1
1
1
6
1
1
1
1
1
1
26
2
4
1
1
2
1
1031
2
1
1
1
1
2
1
2
2
1
1
2
1
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
2
1
2
1
6
1
1
1
8
1
1
2
1
5
1
1
1
1
2
1
1
1
2
3
1
1
4
1
2
1
16
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
4
1
1
1
4
1
1
1
1
1
3
2
1
1
1
1
1
1
2
2
5
1
4
9
1
5
1
1
1
5
1
2
1
1
1
8
1
8
2
2
5
2
2
1
1
1
1
1
4
4
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
10
1
1
1
9
2
1
1
3
1
1
7
5
1
1
1
1
1
1
1
1
4
5
1
13
1
2
7
1
1
3
1
4
2
1
1
1
1
7
1
1
1
2
6
1
1
1
1
5
12
1
1
2
11
5
1
1
1
1
2
1
1
1
2
1
4
7
2
1
1
10
1
1
2
1
1
3
2
1
1
1
1
6
1
1
1
1
1
2
5
1
1
1
1
1
2
5
2
2
1
1
1
1
3
1
1
8
1
1
2
1
2
14
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
2
1
2
1
1
1
1
7
1
3
4
1
2
1
1
1
1
1
1
2
1
8
7
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
3
2
6
1
1
1
1
1
3
1
1
1
2
1
1
1
2
2
2
1
2
1
1
3
2
4
1
2
1
2
1
1
1
1
1
1
13
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
5
3
1
2
3
1
1
1
1
1
1
3
4
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
11
3
3
1
1
1
2
2
74
2
2
1
2
10
3
1
1
1
1
1
1
1
2
1
1
5
10
3
1
1
1
2
1
3
2
1
1
2
1
6
2
1
1
1
1
1
1
1
3
2
1
3
5
2
6
1
1
1
2
3
1
1
1
1
1
1
2
4
1
1
2
1
3
3
2
1
1
11
2
2
1
2
1
1
1
1
1
1
3
1
3
1
12
1
1
1
1
7
1
6
1
2
49
1
1
1
2
1
1
1
8
10
1
1
1
16
1
1
4
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
2
1
1
24
4
1
1
1
3
1
1
1
4
3
3
1
1
2
1
1
1
1
4
2
1
1
1
30
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
19
6
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
2
6
1
1
1
1
1
1
4
2
1
1
1
1
2
220
2
2
1
3
3
2
1
1
1
2
10
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
4
1
1
1
3
1
10
4
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
2
3
2
1
1
2
1
1
1
1
1
1
16
7
4
1
1
1
2
8
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
8
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
2
1
1
1
1
3
78
2
2
2
1
2
1
1
1
18
1
2
1
3
2
1
5
1
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
3
1
2
1
2
1
1
1
1
4
1
1
1
2
1
5
1
1
1
1
1
1
2
1
3
1
1
2
6
1
10
2
1
1
1
1
2
5
1
1
1
5
1
2
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
3
1
3
1
1
11
1
3
5
1
2
1
1
1
1
18
2
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
2
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
1
9
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
2
1
1
1
1
1
1
3
3
2
2
1
1
1
2
1
2
1
1
1
2
2
8
1
5
1
16
4
2
1
4
1
2
2
1
1
10
4
1
2
1
3
1
2
1
1
2
2
1
1
1
2
1
4
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
4
1
1
2
1
3
1
1
1
2
1
1
1
4
1
1
5
2
1
12
1
1
1
1
4
1
2
1
1
1
7
3
31
2
1
5
2
6
3
2
1
1
2
1
1
1
1
4
1
1
3
1
2
10
1
2
6
1
5
3
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
2
10
1
2
1
1
1
5
4
1
1
1
1
1
1
4
3
1
2
1
4
1
2
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
6
12
1
12
2
1
1
1
1
1
7
6
2
1
1
1
2
2
1
6
3
1
2
3
1
1
5
1
59
9
2
2
1
1
1
132
3
1
2
1
1
4
3
5
2
5
1
1
1
1
1
1
1
1
2
1
1
3
2
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
3
1
2
1
1
1
1
4
1
2
1
1
17
2
1
1
3
1
1
1
1
1
1
13
2
3
1
2
2
1
1
1
1
1
2
1
1
3
2
2
2
7
2
1
1
1
4
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
2
20
1
1
1
1
21
1
3
3
1
2
1
5
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
4
4
1
1
1
1
7
1
1
1
2
1
1
13
1
4
2
7
14
1
5
3
1
15
1
1
1
10
2
1
1
1
1
13
1
2
1
1
27
1
3
1
1
1
1
1
1
3
3
1
1
2
2
1
4
1
5
1
2
2
1
1
1
5
3
1
1
1
7
1
8
1
3
3
1
1
1
2
1
5
3
18
1
1
1
1
1
1
1
9
1
1
1
3
1
1
2
1
1
3
1
2
2
2
5
9
1
1
1
1
7
1
1
1
2
4
5
1
2
1
1
1
5
2
2
1
3
7
1
1
12
1
1
2
1
2
1
3
1
1
3
3
4
1
3
1
3
2
1
1
2
1
2
13
2
3
1
1
157
5
1
1
13
1
4
1
1
5
1
1
1
2
1
2
3
1
3
1
7
1
25
5
2
3
3
1
1
1
3
1
5
4
4
1
1
4
1
5
5
5
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
14
1
1
1
6
1
1
1
1
1
1
6
1
2
2
1
4
1
1
3
1
2
1
1
11
3
1
1
1
1
9
1
2
3
1
5
3
1
1
1
2
5
490
6
5
1
2
1
1
24
1
1
1
7
4
2
15
1
1
1
1
8
18
6
2
1
1
1
1
16
1
1
11
2
1
1
2
1
1
2
2
5
2
30
1
1
1
1
4
2
2
1
4
3
1
1
1
6
16
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
