2
1
1
2
1
1
1
2
1
1
1
1
2
11
12
1
1
2
1
1
3
1
2
16
3
2
1
1
1
2
3
2
1
1
1
1
13
2
4
1
2
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
2
2
1
2
1
3
1
2
371
1
1
1
1
2
1
1
1
3
3
1
1
4
1
1
1
1
4
1
1
5
3
1
8
2
10
3
5
3
2
1
1
1
1
4
1
1
19
2
1
7
3
1
1
1
8
7
59
3
1
3
1
1
2
5
2
1
1
1
3
1
2
1
2
1
1
1
30
20
1
1
1
1
10
1
1
1
5
3
8
1
1
2
1
1
1
2
1
1
2
1
1
7
1
1
1
1
4
1
1
2
1
4
15
1
1
1
1
1
1
4
1
1
2
3
1
1
1
1
2
1
1
1
1
14
1
1
1
1
1
1
7
1
1
2
4
2
1
1
4
7
1
23
1
1
1
1
2
1
1
1
1
1
13
2
1
1
7
5
3
1
2
4
2
1
1
1
8
1
1
4
1
1
1
2
8
8
1
1
3
8
1
3
2
2
1
1
3
1
1
2
2
1
1
2
1
4
1
1
2
1
1
1
2
4
1
1
16
2
1
3
1
25
1
14
1
3
1
1
1
3
3
1
14
3
3
1
1
1
2
1
1
2
1
11
1
1
2
2
1
1
2
2
1
1
1
2
1
1
1
2
3
1
2
1
1
12
11
4
2
1
1
36
11
1
1
1
1
1
2
19
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
1
1
4
5
1
4
1
2
1
1
5
1
1
1
1
1
1
1
2
1
2
1
4
9
1
2
1
1
1
2
4
1
3
1
1
1
1
1
4
2
1
4
2
1
1
1
1
1
1
1
1
2
1
6
1
1
1
43
1
22
1
1
1
1
6
1
2
1
1
1
2
1
1
2
1
1
1
3
9
6
2
1
1
1
2
1
2
4
1
1
27
1
1
2
1
1
1
1
2
1
2
1
1
10
2
1
1
1
1
2
1
3
1
1
1
3
21
5
1
8
1
1
1
1
1
1
67
6
2
2
2
1
1
1
1
3
1
2
1
1
1
8
1
1
2
2
4
4
1
1
1
1
1
1
1
2
4
1
1
2
1
2
1
18
4
7
1
1
12
1
1
4
2
1
2
1
1
1
1
4
3
2
5
1
8
1
3
2
1
1
2
1
1
2
1
1
1
2
2
8
2
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
4
3
16
1
1
1
1
4
1
1
1
1
1
1
2
2
37
1
1
6
1
1
1
4
2
1
1
1
2
7
2
1
1
1
12
1
1
9
4
4
15
1
1
2
1
1
2
3
7
1
1
2
3
7
1
4
3
1
40
1
1
2
2
1
3
3
1
1
7
3
6
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
3
1
1
1
1
2
2
1
9
1
1
1
1
5
1
1
1
1
5
1
3
1
3
1
1
1
73
45
1
1
1
1
3
1
2
1
1
1
1
1
5
1
1
1
2
1
1
3
1
10
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
3
1
1
1
1
10
2
2
1
1
1
1
12
1
1
1
1
1
1
1
10
21
1
3
1
1
2
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
21
1
1
1
1
2
1
1
1
5
1
6
1
3
4
1
1
6
1
2
2
2
1
1
1
1
1
2
4
2
1
1
1
1
2
1
1
1
1
1
10
3
1
1
1
2
1
1
1
1
1
2
1
4
7
1
1
2
3
6
1
1
2
1
3
1
1
1
1
4
1
48
1
1
3
3
1
1
1
1
2
1
1
1
1
14
1
1
1
1
1
2
1
1
1
1
5
3
1
1
1
1
1
6
1
1
1
1
4
1
1
3
4
1
1
7
1
1
1
1
68
12
1
1
1
4
2
1
1
1
1
2
1
8
1
1
1
1
1
1
1
4
1
1
2
1
2
1
2
1
1
2
1
2
1
1
2
1
1
1
2
1
1
1
2
1
2
1
1
1
2
3
2
2
2
2
1
1
1
1
1
2
1
1
3
1
1
2
1
1
2
1
7
1
3
1
1
1
1
1
1
1
1
1
2
16
3
1
2
1
3
1
2
1
1
2
1
2
2
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
1
1
2
1
1
4
4
8
3
1
26
2
1
4
4
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
15
2
3
1
8
2
16
1
2
1
2
1
1
6
7
1
5
1
7
3
1
1
4
1
1
1
2
3
1
1
4
1
7
3
2
2
1
2
1
2
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
4
7
1
1
3
1
3
1
2
1
1
2
8
1
1
1
1
8
1
1
2
7
1
3
1
1
1
3
2
1
1
1
1
1
3
1
1
3
1
4
1
1
4
1
3
1
4
1
1
3
1
1
2
2
3
1
5
1
1
1
3
3
6
1
1
4
1
6
1
13
1
3
2
1
1
7
1
1
2
1
1
1
1
1
2
6
11
2
1
4
1
1
2
1
1
1
2
2
1
1
7
3
1
1
1
3
1
1
1
1
3
1
1
2
6
11
1
1
1
1
1
1
4
2
1
3
2
2
13
3
2
1
1
1
1
25
1
1
9
1
3
10
1
2
1
1
1
1
1
1
1
55
1
1
1
1
1
3
2
1
5
1
4
3
2
2
2
4
1
1
1
1
1
1
1
1
1
12
2
5
5
1
3
1
1
1
9
1
3
1
1
1
1
5
34
1
1
1
3
1
2
2
33
1
17
1
1
2
1
5
1
1
1
1
1
1
2
5
2
4
12
2
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
2
11
3
1
1
3
2
2
1
2
1
2
1
1
1
1
1
1
2
1
4
1
3
1
1
3
1
3
2
10
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
2
3
1
2
1
5
4
1
5
3
3
1
2
3
1
2
2
1
1
1
3
1
5
2
1
1
1
1
4
1
2
1
1
6
1
1
1
1
1
2
1
1
1
1
76
1
1
8
6
1
7
3
2
20
8
1
2
1
5
1
1
1
1
1
3
2
1
1
4
2
1
2
4
1
1
2
7
2
7
24
1
1
1
1
1
1
2
1
1
3
8
1
1
1
2
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1621
59
1
4
5
3
1
5
2
1
29
1
3
3
3
1
1
1
1
1
1
1
1
2
1
1
1
5
5
35
1
1
3
10
2
1
1
2
6
1
1
1
5
5
2
3
3
1
7
1
2
1
1
9
1
7
2
2
1
6
1
1
2
1
1
2
3
2
5
1
2
1
1
3
1
1
3
4
2
1
3
1
6
1
1
1
2
1
1
1
1
1
3
1
4
2
1
1
1
7
5
8
1
1
1
2
3
1
1
1
2
2
1
2
1
1
3
2
1
1
1
1
1
1
1
1
5
1
3
1
1
1
2
2
1
1
1
1
1
1
7
2
1
4
1
5
1
1
3
1
1
2
2
1
1
2
1
1
1
1
1
1
8
1
1
6
1
1
1
2
1
1
1
1
17
1
1
22
43
8
4
1
7
8
5
4
3
1
1
1
1
5
127
1
1
11
1
1
1
1
1
1
2
1
1
1
3
2
2
4
1
2
1
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
10
2
1
2
1
1
5
1
1
1
4
1
1
3
1
11
1
1
1
2
1
3
6
1
5
1
1
1
1
3
1
1
52
1
6
1
2
2
6
2
7
1
2
2
1
7
1
3
1
3
1
2
1
1
4
1
3
1
2
2
7
4
3
11
1
3
1
1
1
2
1
2
6
1
1
3
1
1
1
1
4
4
1
3
1
1
1
1
9
3
1
1
1
1
6
2
1
13
4
1
1
1
2
1
2
1
2
1
1
2
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
5
1
2
1
1
1
2
1
1
7
1
2
2
1
2
1
3
1
1
2
12
1
1
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
2
4
1
1
3
4
1
1
1
23
1
5
1
7
1
1
1
1
4
1
1
1
1
6
2
1
1
1
1
1
2
2
3
1
1
2
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
6
1
1
4
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
2
1
2
2
1
37
2
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
5
2
1
14
1
1
1
1
1
1
1
5
1
1
1
1
3
1
23
1
1
1
1
1
3
3
1
2
1
1
1
1
5
1
1
1
259
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
2
3
1
1
6
2
5
1
1
1
1
1
2
1
4
1
2
1
1
1
2
1
1
1
1
4
3
8
2
1
1
1
1
1
1
1
3
1
10
3
1
1
1
1
1
1
2
1
2
1
1
1
1
4
1
1
1
2
1
5
1
1
3
1
1
1
1
4
1
7
1
1
4
1
4
2
2
1
2
5
1
1
1
1
1
1
5
1
3
1
3
4
1
21
2
1
1
1
1
3
2
1
1
1
1
1
3
3
3
2
3
2
1
2
1
2
1
1
3
1
2
4
3
1
1
1
5
1
1
3
14
1
1
2
1
1
2
1
1
1
2
1
1
3
2
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
7
1
3
1
1
1
1
5
2
2
2
1
1
1
2
1
3
1
2
2
1
1
1
1
43
5
2
2
1
6
4
1
1
1
36
6
2
2
1
3
2
1
7
2
1
1
1
2
7
1
2
2
1
2
3
1
1
2
1
1
1
1
12
5
17
1
2
9
1
3
1
1
1
1
1
17
2
1
1
1
5
1
2
1
1
2
1
2
1
1
4
1
1
2
1
2
6
1
1
2
1
1
1
1
8
1
1
4
2
2
1
1
1
1
1
1
1
4
1
5
5
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
2
1
3
1
1
1
4
8
1
2
1
1
4
1
1
1
1
2
1
3
1
1
1
2
1
3
2
1
1
1
1
1
1
1
7
1
2
3
2
1
13
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
12
2
1
3
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
2
2
4
1
5
1
1
1
1
1
1
2
4
1
2
9
3
1
1
1
1
1
1
1
1
2
1
2
1
2
3
2
1
1
1
1
1
1
1
2
1
1
1
7
1
2
3
2
1
2
5
1
2
1
1
1
1
1
1
1
1
1
1
2
1
12
2
2
1
4
1
1
1
1
1
3
5
2
1
2
1
1
4
2
5
9
2
23
1
2
1
3
1
3
13
1
2
1
7
2
5
1
4
1
5
3
3
4
1
4
1
1
3
4
2
1
1
4
8
5
2
2
3
1
10
1
1
1
1
1
1
2
1
1
5
2
4
12
2
9
4
2
1
4
3
1
2
1
7
5
1
1
1
1
1
2
2
1
2
1
1
16
1
1
1
128
1
2
1
1
1
4
1
2
1
1
12
11
1
1
1
3
1
1
1
1
2
2
3
1
1
1
1
1
1
2
5
1
3
2
1
1
1
1
1
2
1
1
4
1
3
7
1
25
1
1
2
1
2
2
1
1
1
1
2
1
1
1
1
1
1
4
1
1
2
1
1
2
1
2
3
1
1
1
2
4
2
2
1
1
2
2
1
1
5
1
1
1
2
1
1
8
5
3
1
4
6
1
2
1
1
1
2
91
23
1
1
1
1
1
1
1
2
2
4
1
1
1
1
1
1
1
1
1
1
2
2
6
1
1
2
