5
1
2
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
6
8
2
2
3
1
1
2
1
1
4
1
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
1
1
1
13
2
1
1
1
1
1
1
1
1
1
1
1
1
10
2
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
2
5
3
1
2
2
2
1
7
14
2
2
1
1
2
1
1
1
1
1
1
4
3
2
1
1
1
3
1
1
12
1
79
1
1
1
23
7
22
1
2
1
3
1
1
1
1
1
4
1
1
1
1
1
2
6
1
1
1
2
2
1
1
2
1
2
1
1
3
3
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
4
15
20
1
1
1
1
1
1
1
1
1
1
1
1
10
2
4
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
2
2
3
1
1
1
1
6
5
1
1
1
1
1
1
1
1
1
1
1
2
3
1
6
3
1
3
1
1
1
1
1
1
5
5
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
4
4
1
1
1
1
1
1
1
1
2
1
1
1
1
3
3
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
5
4
1
2
8
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
4
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
4
1
1
2
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
2
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
3
4
1
2
2
1
1
1
1
1
3
3
1
1
2
2
1
2
4
3
1
1
1
1
7
1
19
20
1
1
5
2
1
1
1
2
7
3
1
1
1
2
1
1
1
1
1
1
1
9
5
1
3
1
1
1
1
2
1
1
1
4
4
1
16
1
1
1
1
1
1
1
1
7
1
1
1
1
27
1
1
1
1
4
1
1
1
1
4
52
1
1
1
35
1
1
4
1
1
1
1
1
1
1
1
1
4
9
1
53
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
22
1
1
1
1
1
1
8
1
1
1
1
5
8
1
1
1
1
1
9
1
2
17
3
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
3
4
2
1
1
1
1
2
1
1
1
2
1
6
3
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
6
2
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
7
1
1
2
1
2
1
1
3
1
6
1
1
1
2
4
1
1
1
6
2
1
2
4
2
3
1
1
7
1
1
2
2
1
3
5
1
2
1
3
1
45
1
2
16
12
1
2
1
3
1
4
12
2
1
1
6
5
1
1
1
2
5
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
2
2
2
1
7
1
2
1
4
1
3
4
1
4
1
1
3
1
1
4
1
1
2
1
1
2
1
1
10
8
1
1
1
2
2
1
1
1
1
2
1
2
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
6
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
2
1
1
2
9
5
1
6
1
2
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
6
1
3
1
1
6
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
1
1
1
1
1
2
1
1
1
4
5
1
1
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
2
1
2
1
17
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
4
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
40
26
2
1
1
1
2
1
1
1
1
1
1
1
1
1
12
1
2
1
1
1
2
1
1
2
1
3
2
3
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
36
42
3
1
1
2
1
1
1
2
1
1
1
1
1
3
1
2
1
3
1
1
5
1
2
2
1
2
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
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
2
1
1
1
1
2
2
1
4
2
1
1
1
1
1
2
5
1
2
2
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
2
8
1
1
1
3
2
1
1
1
1
12
9
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
1
1
2
3
1
1
1
1
4
3
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
2
1
2
11
10
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
14
1
1
1
4
2
1
7
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
7
1
1
1
1
1
1
4
10
1
2
1
1
1
1
1
1
2
1
1
7
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
6
1
4
2
2
3
1
1
1
14
2
1
1
1
1
3
1
2
4
1
1
1
2
2
1
2
3
1
1
2
2
2
1
1
1
1
2
2
1
11
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
25
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
9
1
1
2
2
1
1
1
1
1
1
9
1
2
1
1
1
1
1
4
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
2
1
2
5
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
2
1
1
2
3
1
1
1
1
2
4
2
1
1
3
1
8
1
2
1
1
2
2
1
1
1
13
1
3
4
1
4
10
1
3
2
2
9
11
1
1
2
3
2
1
1
1
1
1
27
1
1
1
2
5
1
2
4
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
2
1
4
1
1
1
1
1
2
2
2
1
1
7
1
1
5
1
1
1
5
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
16
9
6
3
5
5
1
1
1
1
1
1
1
1
1
2
1
2
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
1
2
1
2
4
1
2
1
1
1
1
1
1
3
1
6
2
1
1
1
2
1
1
1
1
2
4
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
2
2
1
1
1
26
1
2
1
1
2
1
1
1
2
1
1
2
1
1
1
22
4
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
4
1
1
2
2
1
3
12
1
46
1
1
1
1
1
3
1
1
2
1
1
1
1
2
1
2
1
1
2
1
2
1
1
1
3
4
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
2
1
2
1
1
8
6
1
2
2
2
2
1
3
3
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
32
1
1
1
1
1
19
10
1
1
3
1
2
1
2
1
1
1
1
1
1
1
23
1
1
2
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
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
5
5
8
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
11
1
1
1
1
1
2
1
1
1
30
1
1
1
1
2
1
1
1
1
12
58
1
3
1
1
8
16
8
1
1
4
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
5
1
3
11
3
2
2
8
1
1
3
2
1
1
1
1
7
2
1
1
1
1
13
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
2
1
1
1
3
6
1
1
1
1
2
1
1
1
1
2
1
1
2
2
7
7
2
2
1
1
15
2
1
2
2
17
1
2
2
4
1
1
1
4
1
1
1
1
4
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
5
1
1
1
2
1
1
1
1
1
1
1
3
1
4
6
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
3
1
5
3
1
2
1
1
6
1
8
1
1
5
1
1
1
1
2
1
1
1
2
2
2
1
8
4
1
1
2
1
1
2
1
1
1
2
1
1
1
4
1
8
18
1
1
9
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
4
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
16
14
1
3
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
2
4
2
1
1
1
2
1
1
2
1
1
6
1
1
1
5
1
2
1
1
2
3
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
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
1
1
1
19
1
1
3
1
7
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
7
9
1
2
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
18
22
1
2
1
1
1
4
2
1
1
1
1
1
1
1
1
2
2
2
1
2
1
1
2
1
1
1
1
2
1
2
3
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
7
2
2
1
2
1
1
28
1
10
8
1
3
1
1
1
1
1
1
1
3
2
1
4
2
1
1
2
1
12
1
1
1
1
1
1
1
1
1
1
1
2
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
3
1
1
1
1
1
1
1
1
4
1
1
2
4
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
2
15
1
2
1
2
1
1
1
7
3
2
1
1
3
3
1
3
1
2
1
1
1
1
1
1
1
7
5
1
1
6
1
1
3
1
2
1
6
1
1
6
3
2
2
1
1
2
7
1
3
6
1
1
1
4
1
7
2
1
1
18
3
2
1
3
7
1
1
2
1
1
1
1
2
3
1
1
19
143
832
1
1
1
1
3
1
10
1
1
2
1
1
3
5
2
11
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
9
1
1
1
1
1
1
5
1
1
6
2
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
4
2
1
2
1
1
1
1
4
3
2
1
5
1
2
1
1
2
1
1
220
1
2
9
4
1
4
1
2
1
4
3
1
10
2
1
1
1
1
1
1
1
1
1
1
1
21
15
1
1
1
1
1
1
1
2
1
1
15
12
1
1
1
1
1
1
1
1
1
1
1
2
4
1
5
1
3
1
2
1
1
1
1
2
2
3
1
3
1
6
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
4
2
1
17
10
5
13
1
3
1
1
1
2
1
1
1
3
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
2
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
14
3
6
1
1
1
1
6
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
4
5
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
149
1
1
1
1
1
2
1
7
1
1
2
1
1
1
1
1
1
1
2
2
1
3
2
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
2
3
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
4
2
1
1
1
5
3
1
2
1
1
1
9
1
1
1
1
1
1
1
1
2
12
2
1
10
2
1
2
1
14
1
1
1
3
4
3
1
1
3
3
2
1
1
1
1
1
1
2
1
1
1
12
2
2
1
1
4
1
2
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
6
7
1
1
2
3
1
1
1
1
1
1
2
3
7
2
1
1
7
5
1
2
1
1
3
1
1
1
3
2
3
3
1
1
1
1
4
1
1
1
1
1
1
2
1
2
1
1
1
1
1
7
1
1
1
1
1
1
1
1
2
1
1
1
1
5
4
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
4
8
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
3
1
1
14
7
1
1
1
1
1
1
3
3
1
7
6
3
37
1
2
1
26
1
1
2
5
2
1
1
2
4
2
1
1
1
1
1
1
1
1
1
3
1
2
4
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
3
1
1
1
2
3
1
3
1
1
2
2
1
1
1
1
2
2
1
24
2
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
2
2
1
1
2
1
1
3
1
1
1
1
1
5
5
1
1
1
2
1
1
1
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
2
1
3
3
4
2
1
1
2
8
1
1
1
2
4
4
1
2
1
1
3
1
1
17
18
1
4
1
1
1
2
1
4
4
1
7300
7714
5
4
3
4
10
1
7
1
1
2
1
1
3
2
1
2
1
2
1
1
8
3
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
6
4
2
1
1
1
1
1
1
1
2
1
1
1
1
5
1
2
1
2
1
2
6
1
2
1
1
3
5
1
1
1
1
2
2
1
2
6
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
9
5
1
1
1
22
1
1
1
1
1
1
3
2
2
10
1
2
1
7
2
4
4
1
1
1
1
3
2
1
1
1
1
2
2
2
1
1
2
1
2
1
1
2
2
1
1
7
2
1
1
1
1
1
3
1
1
2
1
3
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
2
1
2
1
4
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
2
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
5
4
1
1
1
1
1
1
1
1
6
1
1
1
2
2
2
1
1
1
1
1
1
1
1
9
11
1
1
1
1
2
1
1
1
1
4
4
5
5
4
1
1
5
2
1
1
1
1
1
2
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
4
1
1
2
1
1
18
3
1
1
1
1
1
4
3
2
1
1
2
2
1
5
1
4
1
1
1
1
1
1
1
1
2
4
21
1
1
17
1
1
1
1
1
1
1
5
1
2
1
1
6
1
1
1
1
1
1
1
2
1
3
1
12
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
6
2
1
1
1
1
1
1
2
1
1
1
1
3
1
2
6
13
1
1
1
1
1
3
1
1
1
1
20
26
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
815
1
2
3
1
1
2
25
1
1
2
1
1
1
3
4
1
2
1
1
1
1
1
1
1
1
1
2
4
2
3
5
2
1
1
7
10
1
1
1
2
2
1
1
1
1
1
1
1
1
1
11
10
2
1
1
2
1
2
2
1
2
2
1
1
5
3
1
2
5
3
1
1
1
1
2
2
1
1
1
4
6
1
2
1
1
3
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
4
1
1
1
3
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
4
1
1
1
1
4
2
1
1
1
1
1
1
2
2
1
1
3
2
2
2
1
1
1
1
1
1
1
1
1
5
1
1
7
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
1
1
1
3
1
1
1
2
1
6
1
1
1
4
1
1
2
1
9
2
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
2
1
1
2
1
1
1
3
3
9
5
1
1
1
1
1
1
2
1
1
1
1
1
7
4
1
1
2
1
1
1
1
7
1
1
1
9
4
3
2
2
2
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
6
2
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
6
1
1
2
1
4
1
1
1
1
1
1
2
2
1
1
3
1
19
3
1
1
3
1
2
4
1
1
1
1
5
4
4
2
1
1
1
1
1
2
1
1
1
1
2
1
1
6
2
1
1
1
2
1
1
1
1
1
1
3
3
1
1
4
7
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
9
3
2
1
5
3
1
2
1
2
1
1
1
1
1
1
1
1
1
2
5
1
4
8
6
1
1
1
2
2
1
4
1
2
8
1
1
1
3
2
1
1
4
1
1
2
1
1
5
1
12
9
2
1
5
7
1
1
1
1
2
1
2
1
1
1
1
2
2
3
2
2
6
44
11
1
6
125
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
2
1
2
1
1
1
1
3
6
1
1
1
1
1
1
10
1
4
2
1
7
12
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
2
1
1
1
2
1
1
4
5
2
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
2
1
3
2
2
1
1
1
1
2
2
1
1
1
3
1
1
1
1
2
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
4
3
2
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
2
2
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
2
2
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
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
1
3
3
1
3
1
1
2
1
1
1
3
1
2
2
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
2
4
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
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
1
1
1
3
1
2
2
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
2
1
3
2
1
4
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
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
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
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
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
69
86
1
2
1
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
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
2
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
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
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
2
3
5
1
3
3
1
1
16
14
1
1
1
1
1
1
2
2
2
135
1
1
2
2
1
1
1
1
1
1
1
3
6
8
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
10
1
1
3
1
1
1
1
1
1
1
1
2
5
2
4
4
1
1
2
1
1
1
1
1
1
3
3
2
1
16
1
1
5
1
1
420
473
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
10
9
1
1
4
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
8
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
1
1
2
3
4
2
1
1
1
1
1
5
8
1
1
1
2
3
6
2
1
2
1
1
1
1
1
2
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
2
1
6
3
6
1
1
1
1
2
1
1
1
1
1
1
1
4
3
3
1
1
5
1
12
1
1
1
9
1
3
5
3
1
2
1
1
1
1
2
2
1
1
8
1
1
2
1
1
1
1
5
27
1
1
2
1
3
1
1
1
2
1
1
1
1
2
4
1
1
6
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
19
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
3
1
3
4
3
1
2
1
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
6
9
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
7
2
3
2
1
1
1
1
2
4
1
2
36
29
15
7
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
10
13
1
6
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
15
13
2
1
1
1
1
2
1
1
3
1
1
1
2
2
1
2
1
2
1
1
3
1
1
1
1
5
2
2
5
1
1
1
1
1
3
2
3
2
2
2
1
2
1
3
1
1
1
28
1
1
60
58
1
2
2
22
1
1
2
2
3
1
1
5
2
26
2
1
1
1
1
1
2
1
1
2
2
1
2
1
2
1
2
1
1
1
23
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
2
1
14
1
1
1
1
3
4
6
6
2
1
13
1
1
3
1
2
1
4
1
1
1
1
3
1
1
4
1
1
1
4
5
2
1
3
1
4
4
4
1
12
1
1
1
2
1
1
1
1
1
1
1
1
3
1
15
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
1
3
1
4
7
1
3
1
3
2
2
2
1
2
2
1
1
1
3
3
1
2
1
1
1
16
11
2
1
1
2
3
2
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
17
2
1
1
1
1
1
1
1
6
3
1
1
1
2
2
1
1
1
1
4
1
1
3
1
1
1
1
2
10
1
1
1
4
1
1
1
1
1
10
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
2
125
1
10
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
52
15
1
1
1
2
1
1
1
1
2
1
1
1
1
5
3
4
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
3
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
14
9
3
1
1
1
1
1
1
1
1
5
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
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
1
2
4
1
4
1
2
1
1
1
6
8
2
1
1
2
1
1
1
1
6
5
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
2
5
3
3
2
1
2
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
6
1
1
5
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
13
6
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
8
6
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
3
2
2
1
1
1
1
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
5
1
1
1
2
2
1
2
1
1
2
1
2
1
4
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
6
1
1
1
1
3
2
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
6
4
1
1
1
1
3
1
1
1
4
3
1
1
1
1
1
1
1
6
1
2
1
1
2
1
1
1
1
2
1
458
1
1
2
5
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
9
1
1
2
1
4
1
1
1
1
1
1
1
2
14
1
1
1
1
1
1
1
2
1
1
1
1
1
5
5
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
13
7
1
1
1
2
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
1
11
1
5
1
1
1
3
1
1
2
1
1
10
8
1
1
1
2
1
1
1
1
11
2
1
3
1
1
1
2
2
1
1
1
1
1
1
2
1
1
7
5
1
1
1
1
5
1
1
2
1
1
1
1
2
1
2
1
2
2
1
1
4
2
1
1
2
3
1
1
1
1
1
1
2
1
1
1
3
3
1
2
1
1
3
1
1
1
1
1
1
4
2
2
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
4
2
2
1
1
1
4
1
12
1
2
2
1
1
2
1
1
1
5
7
1
1
1
1
5
2
1
1
3
3
17
8
1
1
1
1
1
1
1
2
1
4
4
2
1
1
1
1
1
2
1
1
1
1
57
69
2
1
1
3
1
2
4
3
1
1
2
1
4
1
1
1
2
6
3
1
1
2
5
3
2
1
1
1
1
1
1
1
1
1
1
4
6
1
2
1
106
1
1
1
1
1
1
1
1
2
1
1
2
3
3
8
231
2
1
1
1
1
3
9
10
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
9
2
1
1
2
2
1
1
2
1
1
2
1
2
2
4
1
2
1
1
1
1
2
169
148
2
4
2
1
3
1
1
333
1
1
1
1
1
3
1
1
1
1
1
1
3
6
1
1
1
1
1
15
10
1
2
1
1
1
1
3
4
1
9
9
1
1
2
1
1
1
1
1
3
4
2
1
1
2
1
1
2
1
1
1
1
33
1
3
1
4
3
2
2
