1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
3
1
1
2
2
14
1
1
1
1
1
1
3
1
1
2
2
2
1
2
2
1
1
1
10
1
1
2
1
2
1
1
1
2
2
1
1
1
5
1
1
2
2
1
7
1
1
1
4
1
5
1
1
1
1
5
12
1
3
1
9
12
1
2
1
1
1
1
1
1
22
3
1
1
2
2
1
3
2
1
3
1
1
1
3
1
1
17
1
2
1
1
1
1
1
1
3
2
1
2
1
1
1
1
2
8
2
1
1
5
3
1
1
1
1
3
30
4
1
1
1
3
1
2
1
1
2
2
1
1
1
1
7
1
10
2
2
1
4
1
1
1
7
1
1
3
1
1
3
1
1
1
1
3
1
1
1
2
2
1
1
1
1
2
4
3
1
3
2
4
2
1
2
1
5
1
1
1
1
1
4
1
1
1
1
1
2
1
1
3
3
1
18
2
1
1
1
2
19
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
2
1
5
3
1
1
1
1
1
1
3
2
5
1
1
2
6
1
4
1
3
6
1
2
1
2
1
2
1
3
4
1
1
1
1
1
11
1
1
1
1
2
12
7
1
1
2
1
1
3
1
2
2
15
2
1
2
2
2
2
2
3
2
1
2
5
1
3
1
1
1
3
1
1
1
2
6
118
1
1
2
1
1
1
1
1
2
3
10
1
1
1
4
19
2
1
1
1
6
6
1
2
1
4
1
1
1
1
1
1
1
1
2
3
1
2
1
1
1
12
5
2
1
3
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
2
1
1
3
1
1
1
2
6
7
13
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
10
1
1
1
1
4
1
1
2
10
1
4
1
1
3
1
3
1
1
3
1
1
1
2
2
3
3
1
1
3
1
1
2
1
1
1
2
1
4
6
1
1
1
1
1
1
2
1
2
1
1
1
2
7
1
1
1
1
1
2
1
2
4
2
3
2
3
1
1
1
2
10
1
1
5
1
1
1
1
1
5
5
11
2
1
1
1
1
1
1
4
2
1
1
1
1
2
3
1
1
1
3
1
2
1
1
2
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
6
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
2
1
1
1
12
1
1
2
4
1
3
1
1
1
1
1
2
1
2
1
4
1
2
1
1
2
2
2
2
2
2
2
1
1
2
1
1
2
1
2
1
1
4
1
3
1
1
1
1
1
1
1
1
1
2
1
3
6
1
1
7
1
11
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
5
1
5
2
2
2
10
1
2
1
1
1
1
1
1
3
2
1
1
1
8
1
1
2
3
5
18
1
2
1
1
1
3
1
1
1
2
1
5
2
1
2
2
6
1
5
3
1
3
2
1
1
6
1
1
1
1
1
1
1
1
3
2
1
1
1
1
6
2
3
4
1
4
1
36
1
1
1
3
2
1
1
4
1
3
2
2
14
1
2
2
1
1
1
3
4
2
4
1
1
1
1
4
1
3
2
1
1
1
1
1
1
1
1
1
8
4
1
9
1
1
4
1
2
1
2
4
4
1
1
14
1
1
1
1
1
6
2
1
1
3
5
3
1
8
1
2
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
4
1
1
1
1
1
1
1
1
2
1
1
1
1
5
4
3
1
2
3
2
6
5
2
1
13
1
3
6
1
1
1
1
1
1
1
1
5
2
1
2
1
2
1
1
1
8
1
1
2
3
5
8
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
7
1
6
1
2
1
1
1
2
1
2
2
1
4
1
12
1
1
1
2
3
1
1
1
1
2
1
1
1
2
2
1
1
1
3
2
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
2
1
4
2
1
1
1
1
3
1
1
1
5
2
1
4
2
1
1
2
1
1
2
2
2
1
6
1
1
2
1
1
2
1
3
1
1
1
1
1
2
1
2
1
4
1
1
2
1
2
2
1
3
2
1
4
3
1
4
1
1
1
2
1
1
9
1
2
1
5
2
5
4
1
1
3
9
1
1
1
2
2
1
1
1
1
2
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
20
1
3
1
1
1
1
1
8
1
1
1
1
2
1
1
1
2
1
2
1
11
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
4
2
6
3
1
1
1
2
4
3
1
1
1
2
1
1
1
1
1
2
3
9
1
6
3
1
1
2
43
1
1
1
1
1
1
1
2
4
1
10
1
17
1
1
1
1
2
1
1
1
2
1
1
1
2
2
2
5
1
1
1
2
6
2
5
1
1
1
3
1
3
1
1
1
1
1
2
1
2
2
2
1
4
1
3
1
3
1
1
6
1
6
1
1
1
1
2
1
19
2
4
10
1
1
1
2
1
2
10
1
1
1
1
1
1
1
3
1
1
6
4
1
3
6
2
4
1
1
1
1
4
5
2
1
1
1
1
1
1
2
1
1
2
1
3
2
3
2
1
10
5
1
1
1
1
4
1
8
2
2
4
5
1
1
1
2
1
1
2
1
5
14
1
2
3
1
1
1
1
2
1
1
2
1
1
1
4
1
2
3
2
1
3
3
1
1
2
1
39
4
1
8
3
7
1
1
3
1
31
3
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
5
3
1
1
1
1
2
1
2
2
1
1
1
5
4
1
4
2
1
4
4
1
2
4
1
1
1
3
1
2
1
2
1
3
2
10
2
1
3
1
2
3
4
1
1
2
8
1
2
2
1
4
3
2
1
1
1
1
1
6
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
3
2
1
1
3
1
1
2
35
1
1
3
1
1
1
2
1
1
3
1
1
30
6
1
2
3
3
2
2
1
1
1
2
3
9
1
1
1
1
1
1
1
2
1
16
1
3
1
1
51
1
7
1
1
4
2
1
1
1
1
1
1
1
1
2
1
7
1
2
1
5
1
1
1
1
1
1
1
1
1
3
2
1
2
5
5
3
1
1
1
1
5
2
2
2
1
2
1
1
1
1
7
1
1
1
1
1
2
13
2
9
1
1
2
5
7
2
1
1
9
1
1
1
6
2
1
1
1
5
4
1
14
4
1
2
1
18
7
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
3
3
1
2
2
1
3
1
1
1
14
2
10
2
5
2
1
1
3
4
1
1
1
1
1
1
1
1
6
1
4
1
1
2
1
2
1
1
1
2
1
5
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
2
1
1
1
1
3
2
2
1
1
1
1
2
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
11
2
1
2
2
2
1
29
3
1
1
1
3
1
1
1
1
1
1
6
1
1
1
2
1
3
2
4
1
2
3
1
7
1
1
1
1
1
1
1
2
1
7
6
3
8
1
5
1
1
1
5
1
3
1
12
1
1
1
3
3
2
39
2
3
1
15
1
1
1
2
2
2
1
9
2
1
1
2
8
1
2
1
1
1
1
10
7
3
2
2
2
5
4
1
1
4
1
1
1
2
1
2
1
1
6
1
1
1
4
23
1
1
1
2
2
22
2
1
1
4
1
1
1
3
31
6
2
1
1
1
2
3
1
1
1
7
8
3
1
5
2
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
4
2
1
1
7
1
1
1
3
1
1
3
1
1
1
6
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
3
6
1
1
1
1
4
1
4
1
2
1
1
1
2
1
4
1
1
1
2
1
1
8
1
1
1
2
2
3
1
1
1
1
2
2
2
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
23
1
1
1
1
1
1
1
1
1
1
3
2
2
1
2
2
1
5
1
1
3
2
1
1
1
11
6
1
8
1
1
1
3
2
5076
1
1
1
1
2
1
1
5
2
1
2
1
1
1
2
1
1
1
2
3
1
2
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
3
1
4
54
1
1
2
1
1
2
1
1
1
1
1
27
2
2
1
1
1
1
4
1
1
4
1
5
1
3
9
1
1
4
1
2
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
3
1
2
5
4
1
3
3
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
11
1
1
1
2
8
2
1
1
2
2
1
1
2
1
1
1
1
7
3
2
1
1
1
1
1
1
6
1
10
2
1
1
1
2
1
1
1
2
1
1
1
5
1
1
1
1
1
1
4
1
1
3
4
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
4
2
1
3
4
1
2
1
1
1
1
29
1
2
2
4
3
1
1
1
1
1
1
1
1
1
6
1
1
1
2
2
2
1
3
1
1
1
3
2
1
1
1
2
1
3
1
1
4
1
4
1
1
1
1
2
1
3
1
1
1
1
1
1
3
3
2
2
1
1
1
1
1
1
17
2
1
1
1
1
1
3
1
2
6
6
2
1
1
3
1
1
1
3
1
1
1
1
2
2
1
1
8
1
2
1
1
1
16
2
4
1
1
9
1
2
3
2
3
1
3
2
1
3
1
1
3
1
1
1
1
1
4
1
15
1
6
2
1
1
1
3
1
1
6
1
1
1
1
1
1
1
2
2
7
1
3
1
2
1
1
1
2
1
1
2
1
1
1
7
2
1
1
3
1
1
1
5
2
1
1
2
1
2
1
1
1
4
3
3
1
2
3
1
1
2
1
14
1
1
1
2
1
1
1
3
1
3
2
2
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
8
4
2
1
1
1
1
1
1
2
1
3
2
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
5
2
1
1
2
1
1
2
1
1
1
1
2
1
2
1
4
2
1
1
2
2
3
4
1
2
15
2
2
1
1
1
1
28
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
6
1
1
1
1
1
3
1
2
1
1
4
1
1
1
1
2
1
3
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
2
1
1
1
1
4
1
3
1
5
1
2
1
1
4
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
4
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
2
4
1
1
2
1
2
1
1
1
1
1
1
3
2
7
2
2
7
1
1
1
2
2
1
3
1
1
2
1
1
1
1
1
1
7
1
1
2
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
6
1
7
1
9
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
2
1
1
2
1
1
6
1
1
2
1
2
1
1
1
2
2
3
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
4
3
1
1
1
2
4
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
2
1
1
1
1
2
2
11
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
3
2
1
1
3
1
3
1
1
1
1
2
2
1
3
1
1
1
1
2
2
1
1
1
2
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
2
2
2
2
1
1
4
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
3
2
1
1
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
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
2
1
1
1
1
2
1
2
1
3
1
1
1
2
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
4
8
2
1
2
1
3
1
2
1
1
1
2
2
1
1
1
1
1
1
5
1
2
4
1
2
7
1
1
1
16
1
1
1
1
5
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
334
1
1
2
1
1
1
1
1
1
2
2
4
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
3
1
4
1
1
1
2
1
1
6
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
2
1
1
4
5
2
1
1
1
4
1
2
1
1
4
1
1
1
2
1
1
5
1
2
4
3
1
1
1
2
1
10
3
1
1
1
1
1
1
3
1
1
2
1
4
23
1
5
1
3
3
1
3
1
3
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
5
2
7
4
4
1
3
2
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
2
1
4
1
1
1
1
1
1
3
1
1
2
2
6
1
1
1
2
1
1
1
1
2
8
3
3
1
1
2
2
1
1
1
6
1
4
1
1
1
1
3
1
2
1
1
1
2
1
14
1
1
3
2
1
1
1
1
1
2
1
1
1
4
11
1
1
1
1
3
6
1
2
2
4
1
5
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
8
2
1
2
4
1
1
1
3
3
1
6
1
1
3
1
6
1
1
1
2
2
1
1
2
1
1
4
2
1
2
1
4
3
1
1
3
4
1
5
2
1
3
1
1
1
2
1
1
1
1
12
6
1
1
1
1
1
1
2
1
1
1
1
1
1
4
2
1
1
2
1
1
4
1
3
1
2
1
7
1
2
3
2
18
1
1
1
4
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
2
2
1
1
1
5
3
4
1
1
1
1
1
1
2
3
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
4
2
1
3
2
4
1
1
1
1
2
2
3
1
4
1
2
1
3
7
1
1
2
2
1
1
1
10
1
1
1
4
1
1
1
3
1
2
15
1
5
2
2
1
1
2
1
2
1
1
1
2
1
10
5
5
2
2
1
1
1
1
1
1
1
3
1
1
4
1
1
1
3
2
2
3
1
3
1
2
1
1
1
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
22
4
1
2
2
1
4
2
1
3
1
1
1
1
1
2
6
1
1
2
1
1
3
1
2
1
1
1
1
2
1
1
1
2
13
1
3
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
1
2
3
1
4
1
1
1
1
2
1
2
12
1
1
6
2
2
2
1
6
1
2
3
1
2
3
1
5
1
1
1
1
1
1
1
1
1
2
1
3
62
2
1
1
1
1
2
1
1
1
1
1
15
1
4
9
14
1
1
1
1
1
3
3
3
1
4
1
6
2
2
3
2
1
9
1
1
1
9
3
9
1
1
1
1
1
1
1
1
12
4
1
4
1
3
1
7
1
4
3
4
10
1
1
2
12
5
3
1
2
1
1
3
2
1
2
1
13
1
1
2
1
3
1
1
1
2
2
3
1
1
2
1
1
3
1
2
1
3
2
1
16
1
1
1
3
1
1
3
2
1
3
2
2
1
1
2
4
1
1
1
1
1
2
2
3
2
2
2
2
4
2
1
2
2
3
2
4
3
1
5
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
7
3
2
1
4
7
1
1
1
2
1
5
3
1
2
3
2
4
1
2
1
1
3
10
25
1
4
2
1
1
1
1
2
1
1
1
1
5
1
1
1
6
1
2
7
1
2
1
1
3
1
2
1
3
1
2
4
10
5
1
2
1
6
1
4
1
1
1
6
3
3
2
1
1
1
2
1
3
1
2
1
2
1
2
1
1
1
1
2
8
7
1
4
5
1
4
46
2
2
19
2
4
1
1
4
1
1
1
3
1
1
12
3
1
9
7
9
1
1
2
4
1
2
1
1
4
1
1
2
1
1
1
1
1
1
1
4
2
1
1
1
3
11
1
2
9
11
5
4
1
1
1
1
1
7
1
1
1
2
1
10
1
1
1
1
1
1
1
1
1
5
1
1
3
6
1
5
4
2
10
1
2
1
1
1
2
1
2
1
2
1
85
3
38
1
4
1
1
5
1
1
1
2
1
3
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
3
5
1
1
2
4
5
1
4
2
2
3
1
1
1
5
1
8
1
1
3
1
1
1
2
1
8
4
1
1
2
1
3
1
63
2
3
2
1
1
1
3
1
3
209
1
1
1
6
3
1
1
1
5
2
2
8
3
2
2
1
1
1
1
1
1
3
1
1
2
6
1
2
1
2
1
34
1
1
1
1
1
1
1
1
2
2
4
1
1
1
5
1
1
2
1
2
1
2
3
3
3
2
1
1
4
3
1
1
1
1
1
19
2
1
2
1
1
1
1
1
2
2
1
