1
1
44
29
1
5
1
34
31
15
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
5
1
1
2
2
1
1
1
1
1
3
2
1
2
11
10
2
1
3
4
1
1
1
1
2
2
1
1
1
1
2
1
3
1
1
1
4
17
1
1
2
2
15
1
1
2
2
1
5
4
16
1
1
1
2
3
1
3
1
1
4
2
1
1
11
1
3
4
1
8
2
1
2
1
3
3
3
2
2
1
1
2
2
3
1
2
3
4
2
1
1
3
2
1
2
2
2
1
1
1
1
2
2
1
22
1
2
1
1
10
13
1
1
5
3
1
1
1
5
1
1
1
1
1
1
11
1
1
2
1
2
1
4
6
1
1
1
2
1
2
2
2
1
3
421
1
15
1
2
1
1
1
1
2
2
1
3
1
21
2
1
1
2
2
1
3
1
2
1
6
1
2
10
1
2
1
9
2
2
2
1
1
5
1
1
1
2
2
1
1
1
1
2
1
1
5
1
8
8
1
1
1
1
4
1
1
1
1
8
1
1
1
3
12
2
1
2
1
1
1
1
1
1
2
3
1
4
10
14
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
2
1
7
3
1
1
1
1
261
1
59
3
1
1
1
1
2
2
1
1
2
2
1
1
2
1
1
1
1
1
29
5
1
1
2
1
2
2
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
7
1
3
25
1
1
2
2
4
1
4
2
1
2
1
5
1
3
1
1
7
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
2
20
1
1
1
2
2
2
2
2
2
1
1
4
5
1
1
1
4
1
3
2
1
7
1
1
2
6
1
1
1
1
1
3
1
1
2
1
3
1
2
1
5
1
1
3
2
2
12
1
2
1
1
4
1
1
2
2
1
4
8
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
2
2
1
4
1
2
2
3
1
1
1
2
6
3
1
4
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
32
2
1
1
7
1
1
1
1
3
1
1
1
1
3
14
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
194
1
1
1
1
2
3
1
8
4
16
8
1
1
2
3
1
1
3
1
3
5
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
2
5
1
3
1
1
1
1
1
2
1
13
1
1
1
1
1
1
1
4
18
1
1
1
3
1
1
5
1
29
8
1
1
1
1
1
7
1
9
24
1
1
1
4
1
1
1
1
1
2
1
2
8
1
1
1
1
13
4
1
1
2
2
4
1
1
1
3
1
1
1
1
1
2
1
1
2
4
1
3
1
1
1
1
1
1
1
1
8
1
4
1
3
1
1
1
1
1
2
1
1
5
1
1
3
1
1
2
2
9
1
3
3
1
1
1
4
1
2
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
2
1
1
1
1
1
2
3
1
17
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
6
1
2
2
1
5
2
1
2
1
1
1
1
1
2
2
1
2
1
2
1
12
2
1
1
3
1
1
1
22
2
1
1
2
5
1
12
1
5
1
1
3
1
1
2
1
1
1
1
1
1
16
1
1
1
1
1
2
1
3
1
1
1
1
1
4
1
5
1
1
11
1
1
1
2
2
16
1
1
4
3
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
2
5
5
3
1
12
1
1
5
2
1
3
1
2
1
1
1
2
15
1
1
2
1
1
4
4
1
13
2
1
3
1
2
1
1
1
1
17
16
13
1
1
2
1
1
1
23
4
1
1
69
2
3
1
1
4
1
1
1
1
1
1
3
1
1
5
1
1
3
2
4
2
2
1
4
1
1
2
1
1
3
1
2
1
1
1
8
4
4
3
2
1
1
1
2
1
1
1
1
1
2
1
4
1
5
1
1
1
1
5
2
3
1
2
2
1
3
1
3
1
1
2
1
1
1
1
1
1
2
2
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
2
1
4
1
1
1
2
2
1
1
3
2
1
1
18
1
1
1
1
1
1
2
1
1
1
1
1
6
2
2
1
7
1
1
1
2
1
1
1
1
4
1
4
2
1
10
2
1
1
2
1
1
1
1
1
1
1
1
1
1
5
2
1
5
1
2
2
5
1
1
2
2
2
1
2
1
2
2
1
1
4
1
3
2
1
3
1
1
1
1
8
1
1
2
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
4
2
1
1
5
1
1
2
3
1
1
1
1
1
1
19
25
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
2
7
1
1
1
3
5
1
1
1
6
1
1
1
1
1
2
1
3
1
1
1
1
1
1
3
2
1
2
1
1
10
1
1
15
3
1
1
1
1
1
1
1
1
1
1
2
3
1
9
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
2
1
2
1
1
4
1
1
11
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
5
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
3
1
4
1
1
1
4
25
3
4
1
1
1
1
1
2
17
1
2
4
1
1
6
9
1
1
1
1
2
1
1
2
5
5
1
1
2
2
1
1
3
1
1
1
1
1
1
1
2
37
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
2
1
1
5
1
1
1
1
1
2
3
1
1
1
4
2
1
1
3
1
1
5
2
1
1
2
1
7
1
1
4
2
1
2
1
2
2
2
1
5
1
3
2
1
1
6
1
1
6
1
2
1
2
1
1
1
1
3
3
1
28
1
1
2
1
1
1
1
1
2
1
2
1
5
23
3
1
1
1
5
1
2
1
2
1
2
2
1
6
1
1
1
4
1
2
1
1
1
1
1
2
1
1
1
2
3
1
1
3
2
8
6
2
1
2
1
1
1
1
1
3
2
260
1
1
1
1
1
6
1
6
1
3
1
1
1
3
2
1
2
4
3
6
3
3
6
1
11
3
1
1
1
1
1
1
1
1
1
1
1
4
7
1
1
1
1
1
1
12
1
1
1
1
7
1
1
1
1
1
1
1
1
5
1
1
2
2
1
1
1
1
1
1
5
1
4
1
1
2
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
2
2
1
2
4
2
1
1
1
2
2
7
2
1
1
8
1
4
3
1
1
1
12
2
2
1
4
1
1
1
2
2
1
1
2
4
3
1
1
1
1
5
1
1
1
2
1
1
1
4
1
1
1
1
1
9
3
1
1
3
1
2
1
3
1
3
1
5
1
1
1
5
1
1
2
1
3
2
1
1
1
1
1
5
1
1
1
1
24
1
2
1
1
1
25
1
1
1
33
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
4
3
2
2
6
1
1
2
4
1
1
7
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
20
1
6
1
1
2
1
1
1
2
3
1
6
1
5
2
3
1
7
1
1
4
1
1
1
5
1
1
2
6
1
9
3
2
1
2
1
1
3
2
2
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
12
6
1
2
2
3
1
1
1
1
2
1
1
1
1
1
2
2
1
3
2
1
4
2
1
1
1
2
2
1
2
2
1
2
1
2
2
1
1
2
2
1
1
1
5
6
1
1
1
1
2
3
1
1
1
1
10
8
1
1
1
1
5
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
2
9
2
1
1
3
1
8
1
1
2
1
2
1
1
1
3
2
5
2
5
1
1
2
1
1
1
1
1
1
1
1
2
4
3
1
1
3
6
1
7
3
3
2
1
1
1
2
2
1
3
1
13
1
1
1
1
1
1
3
1
1
1
2
1
1
1
5
1
1
1
14
1
1
1
1
8
1
6
1
1
1
2
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
2
1
3
1
2
1
1
1
1
2
1
1
1
1
2
1
5
2
1
1
1
59
4
2
9
1
1
2
1
1
1
2
2
3
1
1
1
1
1
1
2
2
1
1
1
7
3
1
3
5
3
2
2
1
3
1
1
3
4
9
1
1
1
2
1
1
4
1
1
1
1
1
1
5
2
1
26
1
1
1
9
2
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
5
1
6
8
1
11
1
1
1
1
2
1
2
2
1
1
2
1
1
1
1
2
2
2
1
1
1
1
1
1
3
1
3
3
1
1
2
1
1
5
1
1
2
1
5
3
4
1
2
1
14
2
1
31
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
11
2
1
1
1
1
1
10
7
3
3
1
2
2
1
1
6
1
4
1
1
1
3
5
1
1
1
2
2
2
1
1
1
1
1
2
1
3
2
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
2
3
4
1
6
3
1
2
2
1
2
10
4
9
1
1
1
2
1
6
4
1
1
1
1
2
2
3
2
1
1
1
1
1
1
1
1
2
2
3
150
1
1
1
2
20
5
2
1
2
1
1
2
1
3
1
1
1
2
1
2
29
2
1
1
1
1
2
1
1
1
4
2
3
1
1
1
1
1
5
1
1
1
1
2
2
1
1
25
1
4
1
1
1
2
1
18
4
3
1
1
1
1
1
1
1
2
4
17
1
1
9
2
1
40
1
2
1
5
1
1
1
2
3
1
8
1
2
1
1
2
1
1
2
2
2
1
6
1
5
1
1
1
3
1
1
3
3
1
5
1
1
1
3
2
1
1
3
1
2
1
1
6
2
3
1
1
1
6
2
1
2
1
2
2
2
3
1
1
1
3
1
1
2
1
1
4
1
1
1
3
4
1
1
1
2
1
1
1
1
1
6
2
2
1
9
1
2
1
2
1
1
1
2
3
3
1
1
2
3
1
1
2
1
2
3
11
5
4
1
1
5
1
1
1
1
1
1
1
2
1
2
1
1
19
1
1
2
1
2
4
1
2
2
7
4
1
1
1
1
1
1
2
2
2
3
54
1
1
1
1
1
2
2
3
3
1
6
2
1
2
5
2
1
1
1
1
4
1
1
12
2
1
7
3
4
4
1
1
1
2
1
1
1
1
1
3
5
3
2
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
2
4
3
1
1
5
4
1
1
1
1
4
1
1
1
1
1
2
1
1
2
1
3
1
1
1
2
2
5
2
32
1
1
1
2
1
1
1
2
32
1
1
1
1
10
1
11
1
3
2
1
1
2
6
2
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
4
1
2
2
21
2
1
1
1
1
1
5
41
3
1
1
1
1
7
1
1
1
1496
2
1
1
1
1
1
1
1
1
3
2
5
3
2
5
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
1
14
3
1
14
1
4
1
1
18
4
2
1
1
1
1
1
1
1
3
1
4
3
1
1
1
1
1
1
1
2
1
2
5
1
2
1
1
1
2
1
1
1
1
1
2
1
1
4
1
1
3
1
3
1
1
1
3
1
2
1
1
2
2
3
1
1
1
1
1
1
4
1
1
6
1
1
1
3
1
1
3
1
1
1
1
1
1
1
2
1
2
1
3
3
1
1
40
1
3
1
1
1
1
15
1
1
1
1
2
1
1
1
3
1
1
4
12
2
5
1
1
1
1
2
1
8
1
2
1
1
1
10
3
5
1
1
1
2
1
1
7
2
1
1
2
1
2
1
11
2
3
1
2
3
1
4
4
2
1
4
1
1
1
1
3
1
1
24
2
2
4
3
4
2
2
1
1
1
1
1
1
1
1
2
1
1
6
1
1
9
2
2
1
1
2
1
1
1
11
1
1
2
2
2
1
1
13
2
1
1
1
1
2
3
1
1
1
1
1
3
1
11
2
1
1
3
1
1
5
1
6
1
2
8
1
1
20
1
4
1
1
1
7
1
1
3
1
1
1
1
1
1
2
1
1
4
1
2
9
2
3
6
8
10
2
1
1
1
1
12
1
2
1
1
1
1
1
1
1
1
1
1
5
1
9
1
5
3
1
1
8
12
1
1
1
1
1
1
4
2
3
1
1
7
1
1
1
6
4
7
1
1
1
1
2
1
1
1
1
2
2
3
1
1
1
2
1
1
1
3
1
2
1
1
1
4
1
1
1
1
1
1
1
1
13
2
1
1
20
3
1
1
1
1
1
3
1
2
12
2
3
4
1
2
1
2
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
3
1
1
1
1
1
1
2
1
1
1
27
1
2
1
3
2
5
1
2
1
5
1
7
1
1
1
3
2
3
2
1
9
1
1
1
4
11
7
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
2
1
1
2
1
3
2
1
1
3
1
1
1
1
1
1
1
1
8
4
1
7014
1
1
3
7
2
4
7
2
1
1
9
1
5
2
1
1
2
1
1
3
1
1
1
1
2
1
3
1
1
1
2
2
1
2
1
4
1
6
4
1
2
1
1
3
1
2
1
2
3
1
1
3
1
1
3
2
2
1
1
3
14
88
1
1
3
9
3
1
1
1
1
1
3
1
6
1
1
1
2
1
1
3
1
23
2
2
1
1
1
2
2
1
1
1
23
1
1
5
1
3
6
2
3
1
1
1
1
3
13
1
2
1
2
2
1
2
1
1
1
2
1
2
1
1
5
43
1
6
1
1
1
1
2
1
1
2
2
3
1
1
1
1
1
2
2
2
1
1
1
25
1
5
1
2
2
1
3
1
1
5
1
1
1
1
2
2
3
2
3
4
11
1
1
2
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
2
1
120
1
1
1
1
2
1
1
1
1
2
1
1
5
3
1
2
9
1
1
1
1
1
2
2
1
1
1
9
1
1
1
123
1
1
1
3
1
1
1
2
2
1
1
4
1
2
2
10
1
2
2
1
23
2
1
1
2
1
1
5
2
1
1
10
1
1
2
1
1
1
1
5
1
2
1
54
1
1
2
4
1
1
1
2
3
1
1
1
2
1
31
4
5
2
1
1
4
1
1
1
3
1
1
1
14
2
1
2
2
2
2
1
1
1
1
2
1
2
1
1
1
2
1
1
5
1
1
1
6
3
1
3
1
2
2
1
2
1
4
1
1
1
1
2
1
2
1
2
8
1
5
165
1
2
1
1
6
5
1
3
1
1
1
1
1
1
1
1
1
4
1
2
3
2
1
2
3
1
1
1
1
1
1
5
1
1
48
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
29
7
1
1
1
5
1
2
1
4
1
1
1
11
3
1
2
1
5
1
1
2
1
2
1
1
1
1
1
3
1
7
1
2
1
1
3
2
2
1
2
1
1
2
3
1
7
2
1
1
1
1
9
1
2
2
6
6
1
1
1
1
5
1
3
2
5
3
2
1
5
1
2
1
2
1
2
1
2
1
1
1
1
2
1
1
4
1
1
4
1
3
1
1
1
1
1
3
1
2
3
1
1
1
1
1
16
1
1
1
5
3
1
2
1
2
2
14
4
4
1
1
1
1
3
1
1
4
1
1
1
7
1
1
2
1
1
1
1
1
1
3
1
3
2
1
3
1
1
4
3
3
6
10
8
1
1
1
2
1
2
1
1
1
1
8
1
1
15
1
3
1
1
1
1
1
1
6
7
1
1
3
3
8
1
7
1
1
3
9
1
1
3
1
1
1
1
2
1
65
7
2
1
2
1
1
2
1
1
3
1
2
1
1
1
1
3
1
1
4
1
2
1
1
2
1
4
2
1
5
2
1
1
2
1
6
6
1
12
1
1
8
13
1
2
1
1
1
2
4
1
1
4
1
1
4
12
1
1
6
3
29
1
2
3
3
2
1
1
3
1
3
1
1
5
1
1
1
2
17
1
2
1
2
1
2
2
1
2
1
1
1
6
1
1
1
4
1
2
3
1
3
3
4
1
3
1
1
1
2
3
1
3
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
6
2
1
1
3
1
1
2
10
3
6
1
3
1
1
2
2
7
2
3
5
1
1
1
1
1
1
1
3
5
1
1
2
6
1
1
1
1
1
1
1
2
1
1
1
3
3
1
2
1
1
1
1
1
1
2
3
1
1
1
1
2
2
1
1
12
2
2
1
5
1
1
2
1
2
1
1
4
3
1
1
1
1
1
1
3
4
1
1
1
1
2
2
1
1
1
1
2
1
1
3
1
1
1
2
4
1
1
1
1
22
22
1
20
1
3
1
2
1
21
1
3
3
1
1
1
2
1
1
3
1
1
1
2
1
5
2
1
3
1
1
1
2
2
1
2
3
2
1
1
1
1
2
2
7
2
1
1
1
3
6
1
2
3
1
1
1
3
2
1
2
1
1
2
1
1
1
3
3
1
2
3
1
3
1
1
1
1
2
2
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
2
1
4
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
2
1
2
1
1
1
1
2
3
2
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
3
1
1
1
1
3
1
2
1
1
1
2
4
2
2
1
1
3
1
1
2
1
2
1
1
1
1
2
1
1
1
1
5
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
3
1
1
1
2
1
1
2
2
1
1
1
2
4
1
3
6
2
1
1
2
1
2
1
1
1
2
1
2
1
1
1
2
1
1
4
2
1
3
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
4
1
1
4
2
4
1
2
1
2
1
1
3
1
3
1
1
1
1
1
1
1
4
1
2
1
2
2
1
1
1
1
1
1
4
1
1
2
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
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
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
2
1
1
2
2
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
3
1
1
1
2
1
2
1
1
2
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
64
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
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
2
1
5
1
3
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
4
5
2
1
1
2
2
1
2
2
1
1
1
1
1
2
2
5
1
5
2
43
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
8
3
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
8
1
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
2
1
3
12
2
1
1
1
2
1
1
5
4
9
2
1
1
1
1
1
4
31
11
1
2
2
1
1
1
2
1
1
1
1
1
1
1
3
4
1
2
1
1
1
6
4
700
2
3
1
7
1
2
1
1
43
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
2
8
1
4
2
1
18
1
4
1
1
1
3
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
2
2
2
2
3
1
2
2
1
2
1
1
9
3
1
3
2
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
10
1
9
2
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
3
1
1
1
1
1
1
2
4
2
1
1
3
1
1
1
2
2
2
1
1
6
1
1
1
11
1
3
1
11
1
1
2
3
1
1
1
2
1
1
2
4
6
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
72
23
1
1
2
3
2
1
1
1
3
1
1
1
1
1
3
1
2
1
3
2
1
2
1
1
1
1
1
1
30
1
2
1
2
1
1
1
2
2
1
4
1
2
4
2
2
2
1
1
1
1
1
33
1
1
40
7
11
1
2
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
3
4
6
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
6
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
2
1
4
1
2
1
1
4
1
1
1
1
2
4
3
1
1
4
1
1
1
2
1
1
1
1
2
2
2
1
1
1
1
2
1
3
1
1
1
1
26
1
2
1
2
10
1
1
1
1
1
1
1
3
2
2
5
1
1
2
1
1
1
1
1
2
1
2
2
3
1
3
1
1
1
1
1
1
1
2
1
1
5
1
1
1
2
1
7
2
2
1
1
2
1
2
1
2
3
1
25
13
1
1
1
2
2
1
1
10
1
3
1
2
1
1
1
6
6
1
1
1
7
1
1
3
2
3
1
1
1
4
2
16
1
5
4
4
13
1
1
1
1
1
8
1
1
1
2
1
3
1
1
1
5
1
1
3
1
37
1
1
2
2
1
2
1
1
1
1
1
5
1
2
1
12
1
1
2
2
1
2
1
1
2
1
3
1
1
2
1
2
1
2
1
3
4
2
1
3
2
1
1
1
1
5
2
1
1
1
2
1
3
5
1
1
1
2
1
1
1
1
5
1
6
1
38
1
1
1
1
2
1
3
15
4
1
1
1
1
2
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
5
1
1
1
8
1
6
9
1
1
1
2
1
1
1
2
1
1
1
4
1
1
1
1
3
2
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
11
1
2
1
2
1
1
2
1
6
1
1
1
1
4
1
3
2
1
2
1
1
1
1
1
1
2
1
4
3
1
1
6
4
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
4
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
3
4
1
1
2
1
1
1
1
2
1
2
1
2
1
1
2
1
2
1
1
1
2
2
5
1
1
2
1
1
2
1
1
3
3
3
3
1
1
1
2
5
2
2
1
5
1
1
1
2
2
1
1
1
1
5
1
1
1
1
1
1
4
1
1
1
2
1
8
3
2
2
1
1
2
2
2
1
1
1
3
9
8
1
3
1
1
2
1
1
1
2
3
1
1
1
1
2
1
1
1
3
1
1
1
1
6
1
1
1
1
2
1
1
32
31
2
3
1
1
1
1
4
1
1
1
1
1
1
2
4
1
1
1
8
4
2
2
68
2
3
7
27
3
4
3
1
3
1
1
1
1
1
6
14
6
2
1
1
3
4
4
5
1
1
1
1
1
1
1
2
1
1
1
1
1
3
5
1
1
1
6
2
1
1
1
10
15
2
2
1
1
1
1
1
1
1
1
2
1
3
1
1
5
1
4
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
5
2
1
11
2
17
2
1
8
1
3
5
1
2
1
1
1
25
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
2
1
2
7
1
2
2
1
68
1
1
5
2
3
1
2
37
1
1
1
1
1
1
3
8
3
2
1
1
1
1
1
16
3
1
1
1
1
1
8
1
6
10
1
7
4
2
2
1
1
1
1
1
3
1
8
1
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
4
3
1
1
2
1
1
2
4
2
1
1
2
4
1
1
1
1
1
1
1
1
9
3
1
13
1
1
2
2
2
3
1
1
3
1
1
3
2
2
1
2
1
1
1
3
3
2
3
1
2
1
1
4
1
1
6
1
1
2
2
1
2
6
1
1
1
1
3
1
3
1
22
1
6
1
1
2
1
1
1
1
3
87
1
1
16
1
1
3
1
1
1
1
3
1
3
8
1
1
2
2
2
1
1
2
1
1
1
2
1
1
4
10
1
1
2
8
2
18
3
2
3
1
1
2
1
2
3
1
1
4
2
1
2
1
1
1
1
3
5
1
1
1
1
2
1
4
1
2
1
1
1
1
1
1
11
1
1
6
1
1
1
2
1
1
5
1
1
1
2
3
1
2
1
3
2
1
1
2
1
1
2
1
3
2
1
1
6
3
6
1
1
1
5
6
1
1
2
2
1
13
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
3
1
1
1
5
1
159
1
2
3
2
2
1
1
2
2
10
9
1
1
1
4
5
2
2
1
1
1
4
1
1
1
1
7
2
1
2
5
5
2
1
1
17
1
1
1
1
6
1
2
1
1
3
3
1
1
1
2
1
1
1
3
1
2
8
1
1
3
1
1
1
2
3
2
2
3
2
1
1
1
1
1
1
3
3
2
4
1
2
1
2
1
2
1
1
1
2
1
1
5
19
1
2
2
1
1
1
1
1
1
2
1
1
1
1
2
1
2
217
2
1
2
3
1
3
1
3
1
3
1
2
1
3
3
3
7
3
1
4
1
2
1
1
3
3
3
2
3
12
1
4
2
3
6
1
1
5
1
3
1
1
9
2
3
1
2
1
2
1
1
1
7
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
6
3
1
1
2
1
1
3
1
1
3
2
3
2
4
1
1
1
1
1
1
1
1
1
1
