1
1
1
3
1
1
2
1
1
2
1
1
2
1
2
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
16
1
1
1
1
1
1
2
5
1
3
1
1
14
1
3
1
1
1
1
1
1
3
2
1
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
17
1
1
1
1
2
3
1
1
1
1
3
1
7
1
1
1
2
1
2
1
2
4
1
13
4
7
1
1
2
1
1
1
1
2
3
1
5
2
1
1
2
1
2
1
2
1
2
4
2
1
2
17
1
1
1
1
1
2
2
10
1
2
1
8
1
7
1
5
3
1
1
1
2
1
1
1
2
2
1
1
1
1
3
2
2
1
3
3
2
2
2
1
1
1
1
5
4
2
1
4
3
1
16
7
2
24
12
2
5
1
1
2
1
1
6
1
1
34
2
3
1
1
1
21
1
1
1
1
1
1
1
11
1
1
2
1
18
3
1
1
1
1
1
2
1
17
1
1
1
15
3
1
1
2
3
4
1
1
4
1
10
1
4
3
2
2
1
1
1
1
4
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
23
6
2
1
3
1
6
1
1
1
1
2
2
1
1
12
3
4
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
8
5
2
2
1
1
28
3
3
1
1
2
1
3
2
1
1
2
1
3
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
2
1
1
1
2
1
1
2
1
1
3
1
2
1
1
1
2
1
1
5
2
3
1
1
1
1
1
3
5
1
7
1
1
1
2
1
1
8
1
2
10
2
2
2
2
1
1
1
2
1
1
1
1
1
1
1
5
1
1
2
1
1
1
3
1
1
1
1
1
1
2
9
1
2
1
1
7
1
1
11
1
2
2
33
3
1
5
2
1
2
1
1
1
2
3
1
1
1
1
4
6
1
1
6
1
1
1
1
1
3
2
5
2
1
1
1
25
1
4
1
1
1
8
1
1
2
1
2
1
1
4
1
2
2
1
1
3
5
1
1
4
1
1
1
1
8
2
1
1
1
4
2
17
2
3
2
1
1
1
1
2
1
4
5
1
1
2
1
5
1
1
1
1
1
1
2
9
1
2
3
1
5
4
1
30
1
1
3
1
1
2
1
1
16
1
1
1
1
1
6
1
1
1
1
1
2
1
2
1
1
3
1
1
1
3
9
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
2
2
1
1
1
1
1
4
1
1
2
2
1
5
1
1
3
1
6
1
1
1
2
1
4
1
2
6
1
5
1
1
1
1
1
8
1
2
1
1
1
1
1
1
1
5
12
205
1
2
1
1
1
2
5
16
3
1
1
1
1
1
2
1
6
18
1
1
1
2
1
1
1
2
11
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
2
2
1
5
1
1
3
1
1
5
1
2
5
1
1
9
1
2
2
1
3
1
1
4
1
1
1
2
11
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
2
1
1
2
1
1
2
5
1
1
5
11
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
8
1
1
1
17
4
4
2
6
1
1
2
1
1
1
1
1
1
7
4
2
3
7
1
2
1
1
1
1
2
1
1
1
6
3
1
1
21
1
5
1
1
3
2
5
2
1
1
1
1
3
3
1
1
1
1
2
2
1
2
1
3
1
1
1
3
1
1
1
4
5
4
3
3
1
1
1
1
1
1
1
1
1
2
1
4
1
2
1
2
1
2
1
3
2
2
2
2
2
2
1
1
3
3
1
1
3
2
3
4
1
2
4
6
1
4
1
1
2
1
1
1
1
3
2
1
1
1
1
3
1
10
1
2
1
10
2
2
2
1
1
1
2
1
1
5
1
1
1
1
1
1
1
12
2
3
1
1
1
7
2
1
2
2
1
1
3
1
2
1
1
1
8
1
1
1
2
1
1
1
2
1
6
2
1
2
9
5
1
1
1
1
1
1
6
1
1
3
1
1
1
3
1
1
1
4
2
1
1
2
1
1
1
3
3
1
1
1
1
1
4
1
1
1
1
2
4
1
1
1
1
4
1
2
1
2
1
1
1
1
5
1
1
1
1
1
1
2
1
2
1
2
1
1
1
2
1
1
2
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
6
5
1
2
1
1
1
1
1
1
1
1
1
2
3
1
2
2
1
1
1
1
1
1
1
1
2
2
8
2
1
2
13
3
1
1
2
2
1
1
1
1
1
1
4
1
2
1
2
7
2
1
1
1
1
1
5
1
1
3
7
3
2
1
1
1
1
1
1
13
1
1
1
2
2
1
1
1
1
1
2
1
2
2
1
1
4
1
3
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
8
3
2
5
1
1
3
1
1
8
1
1
1
1
1
5
1
1
1
4
1
6
4
3
2
1
1
1
2
2
8
1
1
1
2
3
3
2
6
6
1
3
3
1
14
2
1
3
1
4
1
1
3
1
1
1
9
8
1
1
2
2
1
1
1
1
1
3
1
1
1
7
4
3
2
1
1
2
4
1
2
2
1
1
2
23
2
2
1
1
1
1
2
3
4
3
1
1
2
1
1
2
11
4
4
1
3
1
2
2
1
1
1
1
1
2
4
1
7
1
2
1
9
5
5
1
1
1
1
1
1
1
40
1
1
1
7
1
1
2
2
2
1
5
2
1
1
1
1
4
3
12
1
1
1
1
4
1
10
2
2
1
1
1
2
8
2
2
1
2
5
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
2
1
3
2
1
1
1
2
2
10
2
3
1
1
1
1
3
3
5
4
5
9
6
1
1
3
1
1
1
9
1
1
2
2
1
1
2
6
1
2
4
2
1
5
1
1
1
1
1
30
1
2
1
1
1
1
2
1
1
1
7
1
1
1
1
2
3
2
1
1
1
3
2
1
1
1
2
1
1
1
2
6
4
1
19
1
3
2
1
1
1
1
1
1
2
1
1
2
4
3
1
3
1
1
2
1
1
1
1
3
1
1
1
2
4
7
2
1
1
8
6
3
1
2
2
1
1
1
1
2
1
3
1
1
1
1
1
10
1
1
1
3
8
2
2
1
1
2
1
1
4
2
6
3
1
1
5
1
1
1
1
1
1
4
1
1
2
3
2
1
1
11
1
2
1
1
2
2
1
1
2
1
1
1
1
1
1
9
2
1
2
1
3
1
1
1
1
2
2
1
1
5
1
2
1
1
1
2
1
2
1
1
3
1
1
2
1
3
1
2
2
1
2
1
1
1
2
2
1
1
1
1
3
2
2
6
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
1
1
1
2
2
11
1
1
1
1
1
1
1
1
1
1
4
4
1
1
3
7
1
66
1
1
4
1
2
3
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
4
1
1
1
1
1
1
5
8
1
2
1
1
7
2
1
4
6
1
1
2
1
1
2
1
1
1
2
3
1
4
1
1
1
1
2
2
1
1
1
1
3
2
1
3
2
1
1
6
1
1
1
2
6
3
3
1
1
1
1
7
1
8
1
5
1
2
4
5
6
1
5
1
5
8
11
2
1
1
1
1
1
2
6
4
1
1
2
1
16
1
1
1
2
1
1
4
1
2
1
1
5
1
5
1
36
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
9
1
13
1
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
2
1
3
3
3
2
1
1
1
1
1
2
1
1
1
1
7
5
3
2
1
1
1
1
1
2
1
2
1
1
1
2
1
1
2
1
4
2
1
1
1
3
2
1
3
2
1
5
2
4
3
1
1
1
1
1
1
1
1
3
6
1
2
3
2
1
1
3
1
1
4
1
3
1
1
1
1
2
1
2
1
1
1
2
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
2
5
4
1
1
8
10
1
1
1
1
1
11
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
3
4
3
8
1
1
1
2
3
1
1
3
5
2
1
1
3
5
10
2
1
1
1
6
5
1
5
1
2
2
1
2
3
4
1
2
1
1
2
1
1
1
1
1
1
7
3
2
10
1
5
1
1
1
1
2
1
1
6
3
2
2
1
3
2
3
2
5
1
1
3
1
2
1
1
1
1
1
3
1
1
1
16
1
1
6
1
8
1
1
1
2
4
1
1
2
1
4
1
3
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
31
5
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
2
2
3
1
2
1
1
1
1
1
1
1
9
1
1
1
2
4
2
1
1
4
4
2
1
2
1
1
1
1
1
1
1
21
1
2
1
1
1
1
2
1
1
2
1
1
1
1
16
5
3
1
2
1
1
1
1
1
1
3
1
1
3
1
1
9
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
3
6
1
1
1
2
3
2
2
1
1
1
1
4
3
2
1
1
1
1
1
1
5
2
1
3
1
1
1
1
1
11
1
1
1
1
9
2
1
2
1
2
1
1
5
18
18
1
1
1
1
1
1
1
3
2
1
1
2
1
58
2
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
2
3
4
4
1
1
1
6
1
20
1
1
2
1
1
2
2
1
2
1
1
2
1
1
2
2
2
4
3
4
1
1
3
2
1
1
1
3
1
1
4
2
1
1
1
2
1
1
3
4
2
1
2
3
1
1
2
1
3
4
1
1
2
1
2
6
1
2
1
1
1
10
1
1
1
1
8
4
1
1
1
2
1
1
1
1
11
5
1
1
3
1
4
1
1
8
8
1
5
2
5
1
1
7
1
9
3
1
5
3
2
2
1
3
16
1
1
2
1
1
10
1
3
1
1
9
1
1
2
1
1
1
1
2
2
2
1
1
11
2
1
1
4
1
9
1
1
1
1
1
2
1
1
1
1
2
1
2
2
1
1
1
5
3
1
1
1
4
1
1
1
4
3
1
1
1
1
1
1
1
1
2
9
2
3
1
7
2
1
3
1
3
1
13
2
2
1
1
1
1
1
1
2
2
1
1
1
1
2
2
1
8
1
1
1
2
1
1
1
1
1
10
2
8
1
2
10
1
1
2
1
1
2
1
1
1
1
2
1
11
1
1
1
3
1
1
2
1
16
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
2
2
2
2
1
1
1
4
1
2
52
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
10
1
1
1
1
1
55
4
12
8
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
10
1
1
4
6
3
1
1
1
1
1
2
2
3
1
1
1
2
1
3
4
1
1
1
1
2
1
1
2
1
2
4
1
1
1
27
3
9
1
2
1
2
2
6
1
2
1
1
1
1
4
26
3
1
1
12
1
2
1
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
3
8
3
1
1
1
1
1
1
2
3
1
2
1
1
1
1
1
1
1
2
2
3
1
7
1
1
2
2
1
1
3
1
1
1
1
5
1
1
1
3
4
2
1
1
1
3
1
4
3
1
1
4
5
1
7
1
1
1
2
1
1
5
1
1
1
1
1
1
2
22
12
1
2
35
8
1
2
1
2
5
1
1
1
1
1
1
3
1
1
1
1
2
1
1
5
1
1
4
1
4
2
1
1
1
7
1
9
1
1
1
2
1
2
3
1
12
1
1
5
1
4
1
1
11
2
8
3
1
7
2
1
2
1
1
1
2
14
1
1
1
1
1
6
1
2
3
3
2
2
2
4
1
1
1
1
1
1
1
1
1
1
4
1
4
1
1
1
2
1
1
1
1
1
8
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
9
2
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
2
1
2
2
2
2
3
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
21
1
1
1
1
1
1
1
1
4
1
1
1
1
1
6
1
3
2
5
1
1
2
1
1
1
1
2
1
1
1
1
2
3
1
1
1
20
2
1
1
1
4
6
3
5
14
5
1
1
1
2
5
1
3
1
1
1
2
4
2
1
1
1
1
3
19
3
1
2
1
3
14
2
2
86
1
1
11
1
1
3
1
1
1
5
1
5
1
4
1
2
1
6
1
1
1
1
1
1
1
1
3
1
42
4
1
3
1
1
4
1
9
1
1
1
1
1
1
1
1
5
1
1
4
3
1
7
1
1
1
1
3
1
1
1
2
2
6
4
1
5
3
4
1
4
2
2
1
8
1
1
1
1
2
4
3
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
4
1
1
1
3
1
11
7
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
3
1
1
2
26
4
1
1
1
2
1
3
1
3
2
5
1
1
4
1
3
1
1
3
1
1
1
1
10
2
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
3
2
1
1
19
5
2
6
3
2
1
2
7
1
1
1
1
1
1
1
1
1
2
1
5
2
1
1
1
16
2
1
2
4
2
6
1
7
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
3
1
64
1
1
2
1
2
2
1
2
3
4
1
1
1
3
1
11
11
1
1
1
1
26
1
1
2
1
6
2
12
1
1
3
2
3
1
1
2
5
1
5
3
2
2
1
2
1
2
1
3
4
1
9
1
3
1
1
1
1
8
1
2
7
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
2
3
1
1
1
1
2
1
1
2
1
1
3
2
6
5
1
2
1
1
1
3
2
1
4
1
2
2
3
1
1
11
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
8
1
1
1
1
1
4
1
1
3
1
1
1
2
2
1
1
1
2
1
1
1
1
1
5
1
15
3
1
1
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
1
1
1
1
1
1
1
3
1
1
1
1
1
1
8
1
1
1
1
2
1
1
1
2
1
2
2
2
1
1
1
4
3
1
1
2
6
6
6
1
1
3
17
1
1
2
1
1
1
4
3
1
1
1
8
1
25
1
1
5
1
1
2
3
3
1
1
10
1
1
1
5
1
4
1
2
2
1
1
3
1
1
9
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
2
3
4
2
2
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
2
1
1
1
1
2
2
1
1
6
4
1
5
3
7
4
4
1
1
2
5
1
3
1
4
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
2
1
3
1
1
45
1
1
1
5
1
6
3
3
1
1
2
19
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
2
2
1
3
1
1
1
5
1
1
2
1
1
2
1
6
1
1
1
4
2
1
1
5
2
2
11
4
5
1
1
3
5
3
9
5
1
1
21
3
1
2
1
4
3
1
3
1
14
2
1
1
1
1
2
3
1
1
1
1
25
1
1
1
2
1
5
1
8
1
21
2
8
1
1
2
1
2
1
1
2
19
1
4
8
5
1
3
3
1
1
2
2
35
10
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
10
1
3
6
2
1
1
1
1
3
1
9
1
7
2
1
2
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
4
1
4
3
2
2
2
1
1
1
1
1
1
8
1
1
6
1
7
2
1
1
2
1
1
3
2
4
3
1
1
1
1
3
5
1
1
1
1
1
1
2
10
2
5
6
1
1
2
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
4
1
1
1
2
3
4
1
1
1
1
1
2
1
1
1
3
1
2
1
2
1
1
2
1
4
1
1
1
3
4
6
2
2
6
1
9
2
1
1
2
1
8
1
1
2
1
1
1
1
1
1
1
1
1
1
6
1
1
1
7
8
1
1
6
1
11
1
1
1
1
1
3
1
5
1
9
2
1
1
4
1
1
2
4
12
1
2
1
1
3
1
1
1
1
1
1
32
1
1
1
1
1
1
5
8
1
1
3
1
1
2
1
5
2
1
2
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
5
1
2
1
5
14
2
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
3
3
4
2
1
1
3
1
1
1
1
2
2
1
7
1
1
1
3
2
3
1
3
1
13
2
8
3
1
1
2
1
1
6
4
2
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
9
9
1
1
1
1
1
4
5
5
2
1
1
1
1
1
2
1
2
1
2
1
11
1
4
14918
1
1
3
1
1
9
1
2
5
7
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
9
1
1
1
1
2
1
11
3
1
5
1
1
1
5
3
1
1
1
1
1
1
1
2
3
2
3
1
5
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
4
1
56
2
1
2
1
1
1
1
1
1
2
1
4
2
1
1
1
1
1
1
1
4
2
1
29
11
1
1
1
2
1
14
3
3
1
3
1
1
1
1
1
1
1
1
2
5
1
1
1
11
1
1
1
1
2
5
1
1
3
7
3
1
1
8
1
2
7
1
1
1
1
53
1
1
2
1
3
2
1
2
9
6
1
3
1
1
7
1
6
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
43
1
3
2
1
1
1
10
2
1
8
1
2
1
1
1
1
8
4
1
1
5
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
4
2
1
1
1
1
1
1
1
2
1
8
1
1
1
1
1
2
2
2
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
7
3
1
11
1
1
4
1
4
1
2
71
1
2
1
1
1
1
1
1
1
1
1
1
1
1
6
2
3
3
1
2
1
2
1
3
1
2
1
3
7
1
5
1
1
1
1
2
1
2
1
1
2
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
2
1
2
3
1
10
4
2
42
6
4
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
21
1
2
2
1
1
4
7
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
3
2
2
1
1
4
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
4
2
1
1
2
1
1
1
1
2
2
1
1
1
3
1
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
5
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
95
1
1
1
2
1
1
1
1
2
1
1
1
3
2
1
1
3
2
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
6
2
1
2
6
5
1
1
1
1
3
1
1
5
3
1
14
3
2
1
1
1
2
12
1
2
1
3
1
1
6
1
2
1
3
3
1
1
3
1
2
5
14
1
1
3
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
2
3
1
1
1
3
1
5
1
1
3
2
3
1
2
1
1
2
1
1
3
1
2
4
8
2
1
1
1
2
1
1
2
1
1
1
1
2
2
2
4
1
1
1
2
4
1
2
5
5
1
2
1
1
2
1
1
2
1
2
2
3
1
1
1
2
1
1
1
3
1
6
1
1
1
1
31
1
1
9
3
2
1
4
1
1
1
2
2
23
3
4
2
2
9
1
6
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
2
6
1
1
2
1
1
1
1
1
4
1
1
3
3
9
9
8
10
1
6
2
2
3
1
1
6
1
1
7
1
1
1
1
1
2
10
2
1
2
3
1
2
1
14
3
7
1
1
1
1
3
1
6
1
1
1
3
1
2
1
2
1
60
1
1
4
1
4
1
1
1
1
4
5
1
1
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
5
4
1
1
3
1
1
1
5
1
1
1
1
1
4
1
17
3
1
4
1
1
1
1
1
2
4
1
2
23
20
1
1
1
2
5
2
2
1
4
1
1
3
1
4
2
4
1
5
3
1
1
8
5
17
1
4
4
1
2
2
10
1
6
2
4
1
1
6
2
1
1
1
1
1
36
1
3
2
1
2
1
1
1
1
2
1
1
10
7
4
3
1
1
7
1
2
5
1
1
3
2
2
1
3
1
1
2
4
1
2
3
1
2
1
1
1
1
2
1
1
1
1
2
1
5
5
2
3
1
1
1
1
1
3
2
1
1
2
1
4
1
3
1
1
1
1
9
1
1
5
1
3
1
3
1
1
1
4
5
2
7
1
5
1
1
5
1
10
6
2
2
6
1
1
2
1
1
1
2
1
1
6
1
1
3
1
4
2
5
2
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
2
5
1
4
1
3
1
4
6
2
1
1
3
4
1
1
3
1
1
1
1
1
3
3
2
5
3
1
1
1
2
3
2
1
2
3
1
1
1
1
2
1
3
4
2
1
5
1
2
1
1
2
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
6
2
1
7
2
1
2
1
22
1
1
5
2
2
1
1
48
1
3
2
1
1
1
1
1
4
2
1
1
3
1
1
2
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
5
11
2
5
2
2
1
1
7
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
7
1
1
4
1
1
4
1
1
1
2
4
2
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
3
1
1
1
2
2
5
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
2
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
2
1
2
1
1
2
1
2
2
2
1
1
1
1
1
1
1
1
4
1
1
1
5
1
2
2
1
2
1
1
2
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
3
2
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
4
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
4
4
1
2
2
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
2
1
1
1
1
1
1
3
1
4
2
2
2
4
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
2
1
2
1
2
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
2
1
1
1
2
1
2
1
2
1
1
3
1
2
1
6
3
2
6
2
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
3
1
4
1
1
4
1
2
7
1
1
1
1
1
1
1
3
5
1
1
3
1
2
2
2
1
3
5
1
4
2
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
2
2
1
1
1
1
1
4
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
5
1
2
2
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
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
2
1
1
2
1
1
1
1
1
1
1
3
1
1
5
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
2
1
1
1
1
6
2
1
1
1
3
2
1
1
1
2
1
1
1
2
1
1
2
2
3
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
4
1
2
1
1
2
1
1
1
2
1
1
1
1
1
2
1
4
4
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
3
2
1
1
2
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
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
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
82
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
2
1
2
2
2
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
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
2
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
2
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
2
1
1
5
1
1
1
2
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
2
2
4
1
1
9
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
2
4
2
1
2
5
1
1
1
1
1
1
1
4
1
1
1
5
6
2
1
1
1
1
1
1
2
2
1
1
1
15
1
2
2
1
3
9
3
1
1
1
2
18
2
2
1
1
1
1
1
1
2
1
4
1
2
1
1
1
1
1
5
1
3
20
15
7
1
1
1
1
1
1
1
2
1
1
3
2
2
2
1
826
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
3
1
4
2
1
5
2
2
1
2
2
2
1
1
2
1
1
1
2
1
1
1
2
1
4
2
1
7
1
5
1
1
1
2
1
1
1
3
1
1
2
1
2
1
1
6
1
7
1
1
1
1
1
3
1
3
2
2
1
1
1
2
1
1
1
13
2
1
2
1
2
5
1
1
2
5
2
1
1
2
1
2
1
2
1
8
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
3
1
2
6
2
2
2
1
1
4
1
3
1
1
4
4
3
4
2
1
2
2
1
1
2
1
1
1
1
2
1
1
1
1
2
2
2
1
3
2
5
9
1
1
1
2
1
2
1
1
4
2
1
1
1
1
1
3
1
3
2
2
1
1
1
1
9
2
1
3
2
7
4
1
6
1
1
2
1
1
1
1
1
6
1
9
2
1
1
1
2
7
1
5
15
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
3
3
5
2
5
1
2
1
1
2
2
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
27
14
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
5
4
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
5
1
1
5
6
1
1
1
1
1
1
1
1
1
7
1
11
1
1
5
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
1
2
1
1
1
3
1
1
1
1
4
1
3
1
1
1
1
2
2
1
1
1
3
1
1
1
1
1
2
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
1
3
2
12
1
4
2
2
3
3
2
4
1
1
2
3
2
1
1
1
2
1
1
2
6
5
2
1
1
1
1
3
5
1
1
1
11
1
2
3
1
1
1
1
1
1
2
2
8
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
2
1
1
2
1
1
3
1
1
2
2
1
9
15
4
1
1
8
2
1
4
1
1
1
3
1
2
12
7
2
1
3
1
1
1
1
5
9
3
3
2
2
9
8
1
3
2
1
1
4
1
1
1
4
1
1
1
1
14
1
1
1
15
16
1
2
1
1
1
4
1
8
3
1
1
1
1
19
5
1
5
1
5
2
1
7
8
1
1
1
7
1
1
1
4
1
1
1
1
3
1
7
2
16
4
1
1
6
1
4
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
4
1
2
1
2
1
3
1
2
1
1
18
4
1
1
5
1
4
1
4
1
1
5
1
1
1
1
1
1
2
9
7
1
3
1
1
1
1
3
2
1
3
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
6
3
2
2
1
3
1
1
1
1
1
1
1
3
1
2
5
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
3
2
4
3
1
28
1
1
5
1
1
1
37
1
4
1
1
1
1
7
1
1
1
4
1
1
1
2
16
12
1
1
1
1
2
6
1
6
1
2
1
1
2
8
1
1
2
3
1
2
1
2
1
1
2
1
1
1
1
1
1
4
2
2
2
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
8
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
5
2
2
1
3
1
1
1
1
2
1
1
1
33
8
2
1
1
3
1
5
1
1
13
2
3
2
1
10
1
4
1
4
1
1
4
2
1
1
1
1
3
1
1
3
1
3
1
1
1
1
5
1
1
5
1
1
3
1
1
1
11
3
1
1
3
1
1
1
2
1
1
1
2
1
1
6
1
1
1
1
4
2
2
1
1
1
3
1
1
1
3
1
1
1
2
5
1
1
5
1
1
2
1
1
1
2
4
1
1
1
1
2
1
3
1
1
37
1
1
1
3
1
1
3
1
17
1
1
1
2
1
1
1
1
2
1
3
2
2
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
18
2
1
2
1
2
1
3
4
1
2
4
5
3
1
7
4
1
1
1
1
2
2
2
1
1
2
4
3
3
1
4
1
1
1
1
1
1
2
1
1
2
1
5
1
1
1
38
1
1
1
2
2
1
1
3
1
9
1
1
1
4
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
12
1
1
2
1
1
4
17
6
2
1
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
10
4
2
1
5
2
1
2
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
4
2
1
3
1
20
14
1
1
2
1
1
1
1
1
1
1
7
1
1
2
2
1
1
2
1
2
1
1
2
4
1
1
1
3
1
2
1
8
10
1
10
1
2
93
1
3
1
3
15
1
1
5
5
1
2
1
2
1
14
1
1
1
1
2
1
1
3
1
1
2
1
4
1
3
1
8
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
7
4
45
1
1
2
1
1
1
1
5
9
18
1
1
7
3
1
3
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
4
2
4
2
2
1
1
8
2
3
1
3
1
1
1
3
2
8
3
1
2
1
1
7
10
1
1
2
1
1
1
2
4
1
10
1
1
2
1
1
1
1
1
7
1
1
4
1
1
1
2
3
6
1
5
2
18
5
6
1
4
3
2
2
5
1
4
1
4
1
1
2
6
1
13
1
2
2
1
3
1
1
2
1
1
3
1
4
1
3
1
1
3
1
2
7
10
1
1
1
3
1
2
1
3
1
4
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
2
2
4
1
1
1
1
6
3
3
2
3
1
1
2
1
1
2
12
1
1
3
3
1
1
2
2
1
3
1
2
1
3
2
1
2
1
6
6
1
1
1
1
1
11
9
1
1
1
4
2
1
4
1
4
1
4
46
18
1
1
1
1
4
1
7
8
1
4
2
2
16
1
8
1
1
1
2
4
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
5
1
2
3
3
1
1
1
1
2
3
1
1
2
1
3
1
1
1
2
1
10
2
1
2
1
6
2
1
3
1
3
1
3
2
1
4
1
1
1
1
5
1
4
3
11
1
1
1
1
1
4
7
1
1
1
1
3
3
1
4
1
1
1
1
5
2
1
5
4
3
8
2
1
4
3
2
1
2
4
1
1
4
1
8
2
1
1
1
1
1
3
1
4
11
1
4
1
28
3
2
3
1
1
11
1
2
2
1
1
1
1
2
10
1
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
14
1
1
1
1
3
2
1
1
9
1
3
32
2
8
2
2
1
4
1
2
1
1
4
1
99
2
7
4
14
1
1
1
7
3
1
2
2
1
2
3
4
1
3
1
1
2
1
11
4
1
4
1
1
1
1
1
1
1
1
10
2
1
1
2
1
3
2
1
1
1
1
2
3
1
1
1
1
1
13
1
1
2
11
17
1
3
2
7
7
8
3
41
2
5
2
2
21
4
4
1
1
1
1
1
1
4
2
1
6
4
2
1
4
2
3
2
1
7
4
2
1
3
1
4
1
2
1
1
2
7
5
6
1
1
3
1
21
6
7
2
1
2
6
2
1
1
1
1
2
1
1
1
2
1
17
1
1
1
2
1
1
1
1
1
5
16
1
3
2
1
1
4
4
5
1
1
1
1
6
1
1
1
2
1
1
5
4
7
6
6
4
1
1
1
1
1
3
1
3
1
1
1
7
1
1
1
2
3
14
4
2
1
2
1
1
6
1
1
2
7
1
3
2
2
1
1
1
1
5
1
1
2
5
1
1
3
9
2
1
1
3
1
3
2
3
20
2
1
4
1
2
3
2
1
7
6
6
2
2
2
1
9
1
1
1
4
2
1
3
1
1
2
2
1
4
1
1
4
1
2
1
1
1
1
2
4
1
12
3
1
217
2
39
3
2
1
3
7
4
1
2
1
1
1
23
1
2
1
1
5
2
2
1
1
3
1
1
1
1
2
1
9
4
1
1
7
1
1
1
1
3
1
5
8
1
1
3
1
1
1
4
2
1
2
1
12
1
4
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
5
6
3
1
1
2
1
2
3
3
9
3
1
15
1
1
1
10
2
1
3
1
1
3
1
2
1
1
3
6
3
11
1
11
1
1
1
1
4
1
2
2
1
10
2
9
1
6
2
1
2
1
3
2
1
1
1
3
1
14
104
1
4
6
5
1
3
1
1
3
1
1
7
1
1
1
1
1
2
1
6
502
1
1
1
1
1
1
1
9
1
2
1
1
4
2
7
1
2
5
8
2
3
1
2
1
2
1
1
6
2
2
2
8
3
2
12
8
1
1
6
1
3
1
2
1
6
2
1
2
1
2
3
1
1
1
23
1
2
1
1
5
2
13
6
2
1
2
3
3
5
1
3
2
1
1
1
2
2
2
1
4
2
1
7
1
5
2
1
1
1
1
5
2
1
4
1
1
1
1
1
2
1
1
1
6
23
2
3
2
1
1
1
1
2
5
3
1
2
1