11
1
1
1
1
1
1
3
2
2
1
1
2
1
2
1
1
10
2
1
1
2
1
1
1
1
1
1
1
1
1
13
1
5
1
2
1
1
1
10
6
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
5
2
1
1
1
1
1
1
1
1
2
1
1
5
2
9
8
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
6
3
6
1
19
2
1
1
1
1
1
1
1
1
4
1
2
4
1
1
1
1
1
1
1
2
15
1
1
1
1
1
1
1
1
1
27
3
4
1
4
2
1
1
1
23
4
1
1
1
1
1
1
1
2
6
1
1
1
1
1
4
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
6
1
1
2
3
1
22
1
1
1
2
1
1
3
1
1
5
1
1
1
4
1
1
1
1
1
1
1
2
1
1
3
1
1
3
2
1
1
1
2
1
1
3
2
1
2
1
2
1
1
1
16
1
1
1
1
1
4
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
5
3
10
1
1
1
3
2
1
4
2
1
1
1
1
1
1
1
1
1
2
1
1
19
1
2
3
5
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
2
5
1
2
2
1
1
8
2
1
1
1
1
1
2
3
4
8
1
3
2
1
2
1
1
1
1
1
8
3
1
1
4
2
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
2
1
8
1
1
1
1
1
2
1
12
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
11
1
1
1
2
1
1
3
1
1
4
2
3
2
1
1
2
1
1
1
2
1
1
2
9
1
4
1
1
1
1
1
1
2
1
1
2
1
7
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
6
1
1
1
1
12
6
6
1
1
1
2
11
1
1
1
1
1
1
1
1
1
169
1
2
2
2
3
1
1
1
1
1
1
2
1
1
1
11
2
4
2
1
3
1
2
2
1
1
1
1
1
1
1
1
1
4
3
1
1
1
4
2
1
1
1
1
1
17
1
1
1
1
1
1
1
1
5
1
1
1
14
3
1
3
1
1
2
1
2
6
1
2
2
1
2
2
1
23
1
1
1
1
1
4
2
1
2
1
1
1
1
1
2
2
1
1
2
2
3
1
2
5
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
8
1
1
1
2
1
1
1
2
1
1
1
2
8
4
1
1
1
1
1
2
4
4
1
1
1
4
1
1
1
13
1
4
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
5
1
3
2
1
1
4
1
3
1
1
6
2
2
1
1
4
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
40
1
1
2
1
2
1
1
1
2
3
6
2
1
3
2
2
2
2
23
2
3
1
2
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
2
1
2
1
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
3
1
1
1
1
2
1
7
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
7
1
1
1
2
1
1
3
1
1
1
1
4
1
3
1
1
1
2
1
40
1
2
1
1
1
1
2
2
1
12
2
1
2
1
1
7
1
5
1
1
1
1
1
10
1
1
2
1
4
1
2
1
3
1
10
2
2
2
1
1
17
1
2
9
10
2
1
1
1
1
2
3
2
2
1
4
1
1
3
3
3
1
12
1
1
1
1
1
1
1
1
53
2
2
1
1
2
1
1
1
2
1
1
3
2
5
1
1
1
1
2
1
1
5
1
2
1
1
2
3
3
1
1
3
2
2
27
3
3
2
2
1
1
2
2
1
3
2
1
1
1
1
1
4
1
1
1
1
1
2
5
1
1
1
1
1
1
1
29
1
2
1
1
1
1
4
2
5
4
1
1
1
1
2
2
1
1
1
1
1
1
3
1
7
1
8
1
1
1
1
35
1
3
3
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
2
2
1
1
2
3
1
2
2
1
7
2
1
1
4
1
1
1
1
1
1
1
3
1
1
3
1
1
1
4
1
1
1
1
7
10
2
1
2
2
1
1
1
2
1
1
2
31
2
25
1
11
2
1
1
1
2
1
1
1
2
1
2
1
2
2
2
1
1
1
1
1
2
1
2
2
1
1
1
5
1
1
2
1
1
1
1
3
1
1
1
1
1
2
4
5
1
2
4
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
37
1
1
1
1
1
3
1
1
1
2
1
2
2
3
2
6
1
1
1
1
4
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
8
3
3
1
1
1
2
2
1
1
2
1
2
8
1
1
3
1
1
1
1
1
2
4
5
1
2
1
1
1
1
3
1
4
3
1
2
1
1
3
1
3
1
3
1
1
3
1
1
1
13
12
4
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
6
2
9
2
2
1
2
1
2
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
5
3
2
3
3
1
2
1
1
4
2
1
1
2
5
1
1
1
17
1
1
2
1
1
1
7
2
1
2
1
1
1
1
1
3
3
1
1
1
3
2
1
2
7
3
1
1
1
1
1
1
1
1
1
1
1
1
3
7
8
3
1
1
1
5
4
1
1
1
1
1
3
2
1
1
2
1
2
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
9
5
1
2
1
1
1
4
4
2
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
8
1
1
2
1
3
1
3
1
1
1
1
4
1
2
1
1
1
1
5
1
1
1
10
1
1
1
1
2
2
1
1
1
1
1
5
1
2
1
1
2
1
2
2
1
1
1
2
4
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
3
5
1
2
1
1
5
2
1
1
3
2
1
1
1
1
2
1
1
7
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
5
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
6
4
2
1
1
3
3
1
1
6
1
3
1
1
1
1
1
2
1
1
1
4
1
2
4
6
1
1
3
1
3
2
4
1
1
2
5
1
1
2
1
1
1
1
1
2
1
1
1
1
1
12
1
2
1
8
2
2
1
4
1
1
1
2
1
1
1
1
1
1
4
1
1
1
3
1
1
1
4
1
1
1
1
1
1
2
1
1
1
2
3
3
1
1
3
1
2
1
14
10
1
1
4
1
5
1
1
1
3
1
2
2
2
1
1
2
4
1
1
1
1
8
9
1
6
2
1
2
1
4
6
2
3
15
1
2
2
1
1
1
3
1
1
1
4
1
1
2
1
2
1
1
1
1
1
1
1
1
5
4
1
1
1
1
2
2
4
1
1
1
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
6
1
1
1
1
2
1
1
1
1
1
2
8
1
1
2
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
1
9
1
1
2
6
1
1
2
3
6
6
5
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
5
1
1
1
1
2
2
1
1
3
1
2
2
1
1
1
1
1
1
3
24
1
1
1
1
4
8
1
2
2
1
2
1
1
1
1
2
2
2
1
1
2
1
1
2
2
1
1
1
2
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
2
18
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
4
1
1
3
1
2
1
3
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
3
10
2
2
1
1
1
4
1
1
4
1
3
2
2
1
8
4
1
4
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
4
1
1
3
2
8
1
1
1
1
4
2
1
4
1
1
2
1
1
1
1
1
1
1
1
2
1
2
4
1
3
1
4
1
1
1
1
1
1
1
2
3
1
1
1
6
1
1
3
1
1
1
1
1
1
18
14
3
10
1
1
1
1
1
2
2
1
1
2
1
1
1
1
2
1
1
2
4
2
1
2
1
1
2
1
6
1
4
1
1
1
1
2
1
1
1
1
39
1
1
1
8
1
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
28
20
1
1
1
1
1
1
1
6
1
1
1
1
5
1
1
1
1
1
1
1
2
4
1
1
1
4
1
1
1
2
1
3
1
1
1
1
1
6
1
1
1
2
9
1
1
2
1
2
1
8
2
1
2
1
6
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
2
1
1
3
1
3
6
6
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
6
1
1
1
1
1
1
1
1
3
4
2
2
1
2
1
7
1
1
13
3
3
1
14
1
3
1
4
1
1
1
1
37
2
2
1
2
1
2
1
12
1
1
8
1
3
1
3
1
1
2
1
1
1
11
1
1
1
3
1
1
2
1
1
1
10
2
3
3
1
1
1
2
1
1
3
1
1
2
1
6
2
1
2
1
1
1
1
3
2
1
1
1
7
1
1
1
1
1
1
1
1
8
2
6
1
3
1
6
1
1
1
6
4
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
16
2
1
1
1
2
2
2
2
1
1
1
1
5
1
2
1
1
1
1
1
1
2
3
2
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
2
2
1
1
2
1
1
5
1
4
2
1
1
1
2
1
1
1
2
1
1
3
2
2
3
1
1
2
2
1
2
1
2
2
1
3
4
2
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
6
2
2
4
1
1
1
1
1
13
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
4
21
7
1
1
1
1
1
1
1
1
5
1
1
3
2
1
1
3
6
2
1
1
1
1
1
2
1
4
1
1
1
2
1
1
1
3
1
2
3
1
1
1
1
1
1
3
1
2
1
1
2
7
2
1
1
1
1
3
3
1
2
4
1
2
1
1
1
1
1
1
1
1
1
1
168
2
1
2
1
1
1
2
6
1
1
1
1
2
1
6
1
2
1
1
27
1
1
3
1
1
3
1
1
1
1
1
2
1
8
4
2
2
1
3
2
1
1
2
1
4
2
1
1
4
2
1
25
1
1
1
2
2
14
1
1
2
1
1
1
2
1
1
5
1
2
3
2
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
2
2
1
2
1
3
1
1
3
1
1
1
5
1
1
1
4
1
2
1
7
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
3
18
1
2
1
1
1
2
1
1
1
1
3
1
2
5
1
1
1
2
2
2
1
1
3
1
1
2
1
1
1
1
2
2
1
1
1
1
1
3
2
1
1
3
18
1
2
1
1
1
1
1
1
1
1
7
1
3
3
1
1
51
2
2
3
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1048
1
1
1
1
3
2
1
1
7
7
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
12
6
1
5
5
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
3
1
4
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
2
1
9
1
1
1
1
1
8
1
5
3
1
1
1
2
1
5
1
1
1
15
2
1
3
2
1
3
2
3
1
6
2
12
1
1
3
1
17
1
1
1
1
1
1
2
1
2
22
1
1
1
1
1
1
2
1
3
5
1
1
1
4
1
1
1
2
1
3
2
1
2
2
3
1
5
1
2
1
1
1
1
1
1
37
1
1
1
1
1
1
19
1
1
3
1
1
1
9
9
8
1
28
1
1
1
1
19
1
21
2
1
1
1
1
2
1
1
1
3
1
25
1
3
1
1
3
1
1
1
1
14
1
1
2
1
6
6
1
2
1
1
1
2
1
2
1
1
1
1
1
1
4
1
1
1
1
1
5
1
1
2
1
2
1
1
3
2
1
1
1
2
2
1
2
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
8
1
1
1
1
7
1
1
1
2
2
1
1
1
1
1
5
1
1
1
1
1
1
1
128
1
1
1
1
2
1
1
4
2
1
1
2
1
1
3
2
4
1
1
3
2
1
1
1
5
1
1
1
4
1
1
2
1
6
1
1
1
8
1
1
1
1
3
1
1
2
2
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
10
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
6
1
2
2
1
3
7
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
2
3
1
1
1
2
1
179
1
1
8
4
1
1
1
2
1
1
1
2
2
1
8
1
2
1
1
1
1
1
5
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
6
1
4
1
15
2
1
3
1
1
1
3
1
4
1
2
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
4
1
15
3
4
2
1
2
1
2
1
4
1
1
1
1
1
1
3
14496
1
1
3
1
2
3
2
2
2
2
2
3
1
1
2
1
1
1
2
1
1
1
3
1
2
1
2
1
2
1
1
1
1
1
1
2
2
5
4
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
1
2
1
1
2
4
1
2
1
1
2
1
2
1
1
2
2
1
1
2
1
3
1
1
2
1
1
2
1
1
2
1
1
1
1
1
2
1
4
1
1
1
1
2
1
1
1
1
7
2
3
4
4
1
1
4
1
1
5
1
1
1
1
1
1
6
1
1
2
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
3
3
2
11
1
2
1
2
1
2
1
1
1
1
2
1
1
2
2
3
1
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
7
1
1
1
1
2
1
1
1
4
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
2
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
11
5
2
1
2
2
3
15
1
1
2
17
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
15
1
1
1
1
1
1
1
2
2
1
24
1
2
1
2
2
3
6
1
1
1
3
1
1
1
1
2
1
2
3
2
1
39
3
1
2
3
1
1
3
6
3
3
8
1
3
2
1
1
1
1
1
1
1
5
1
1
1
2
5
4
1
1
1
1
5
2
1
1
1
1
1
1
2
1
1
9
5
1
1
1
1
5
1
3
1
5
6
1
1
1
19
3
1
1
1
2
1
1
1
2
2
1
1
1
1
2
1
2
1
3
1
32
1
1
6
1
1
151
1
2
1
1
2
1
5
1
1
1
1
3
2
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
7
10
1
1
1
1
1
1
1
1
1
16
1
1
8
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
11
1
1
1
1
2
1
1
1
1
1
3
17
4
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
4
1
1
15
1
1
1
1
1
1
4
3
1
1
2
2
1
9
23
2
1
1
3
1
3
1
1
1
3
1
3
1
1
2
1
2
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
1
3
1
1
1
1
1
1
1
1
19
1
2
1
2
2
2
2
1
1
1
1
2
1
3
1
1
5
1
3
1
15
2
1
1
1
1
1
2
1
3
4
13
3
1
3
2
1
1
6
2
1
1
1
1
1
1
2
2
5
2
1
1
2
10
3
1
2
1
1
1
1
4
1
1
2
3
1
4
1
2
1
1
9
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
6
4
1
1
1
1
1
3
5
9
3
1
1
4
3
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
11
1
2
1
3
2
3
2
1
2
1
37
1
1
1
2
1
1
1
2
1
3
3
1
11
1
5
1
1
2
5
1
2
6
3
1
4
1
1
1
1
2
1
1
3
1
4
1
1
5
1
1
10
1
4
2
5
1
1
2
7
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
2
49
9
1
1
4
1
1
1
10
2
1
14
7
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
6
1
2
1
3
1
1
9
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
15
1
1
2
2
3
1
2
1
2
1
1
1
1
4
1
1
6
3
7
1
1
1
1
1
1
1
5
1
2
1
1
1
1
10
3
1
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
20
1
2
1
1
2
1
1
2
1
1
1
5
2
1
1
1
2
1
1
1
1
1
3
1
1
1
2
4
1
1
1
1
1
1
1
1
1
38
1
1
1
1
1
2
3
3
1
10
10
1
14
1
1
1
1
1
1
2
2
2
1
2
1
1
2
1
10
9
1
1
1
1
1
1
3
1
1
1
1
1
5
8
2
1
8
2
1
1
1
2
4
2
21
12
4
4
1
1
1
15
3
1
2
1
1
2
1
1
2
1
1
1
1
1
3
1
2
3
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
3
1
1
1
2
2
1
4
2
1
1
1
6
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
3
2
2
1
3
1
1
1
1
3
1
1
2
1
1
2
2
2
1
1
1
1
1
2
1
4
4
1
1
3
2
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
1
4
2
1
1
1
3
4
3
2
3
1
1
1
2
1
1
1
2
1
1
2
1
1
2
1
4
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
4
5
1
1
1
1
5
1
1
1
3
2
1
1
1
2
1
1
1
3
1
3
1
1
2
1
2
1
1
2
1
1
1
2
1
4
2
1
1
1
1
2
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
3
1
2
4
1
1
1
2
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
3
1
1
1
2
2
1
1
3
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
4
2
1
1
2
1
2
1
3
1
2
2
3
1
1
1
2
2
1
1
2
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
2
1
3
1
1
1
1
2
3
1
1
10
3
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
6
3
1
2
2
1
2
1
1
1
5
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
2
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
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
2
1
1
2
1
2
1
1
2
1
1
1
3
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
133
3
1
1
2
1
2
2
1
2
1
2
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
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
5
1
19
1
1
3
15
1
5
1
2
1
1
2
7
4
1
1
1
1
1
1
2
2
1
1
1
1
1
1
6
5
1
3
1
1
2
2
1
7
1
1
2
3
8
1
1
13
1
1
2
3
1
1
1
1
3
1
4
21
41
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
11
4
2
14
2
1
1
1
1
3
1
2
2
2
12
2
1
1
1
1
1
1
1000
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
6
1
6
1
1
4
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
2
1
1
1
4
1
3
1
1
1
3
2
1
1
1
3
1
2
1
1
1
2
1
3
1
3
1
3
2
1
2
4
1
3
5
2
1
1
2
2
2
1
1
1
1
1
1
5
1
1
13
2
4
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
4
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
4
6
2
2
7
1
4
2
1
1
1
1
1
1
3
1
1
1
1
12
1
1
6
1
1
1
1
1
1
4
1
1
9
1
1
5
1
1
14
11
1
2
1
1
2
1
1
8
3
1
1
3
1
1
1
2
1
1
1
1
2
1
1
3
1
7
1
1
2
1
1
1
1
4
1
1
1
1
1
1
2
2
3
1
1
5
1
3
2
1
1
1
2
1
1
1
1
1
3
3
2
1
1
1
20
1
3
1
1
3
1
1
1
1
4
2
1
2
1
1
2
1
2
1
7
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
7
1
2
1
2
1
1
2
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
3
2
1
3
1
1
1
1
1
1
1
5
2
1
1
2
3
1
2
1
1
2
3
1
2
4
1
1
2
1
1
1
14
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
5
1
1
1
1
2
1
1
1
3
1
2
1
1
1
2
2
1
1
1
2
1
1
4
2
1
3
1
1
2
1
5
4
1
1
1
1
1
53
3
1
2
12
1
1
1
2
1
1
1
3
1
1
1
3
4
6
3
1
1
3
1
1
4
4
1
4
3
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
4
1
5
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
5
1
1
1
1
5
1
1
1
1
2
1
1
1
4
3
1
1
2
7
1
1
3
1
3
2
1
1
1
8
2
22
2
1
1
1
5
10
1
2
2
11
1
1
2
1
1
4
1
1
2
4
2
5
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
1
12
5
1
1
2
3
2
1
1
4
1
1
1
1
3
1
2
2
1
2
1
3
23
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
2
2
2
1
1
1
1
1
102
4
2
1
2
3
1
2
1
1
2
1
2
7
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
1
1
9
7
1
4
1
1
2
1
1
1
3
2
1
1
1
3
2
1
1
1
1
1
1
1
2
2
1
12
5
3
1
2
1
6
1
1
7
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
4
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
2
70
1
3
1
2
1
3
1
2
2
1
34
1
2
3
1
1
4
1
1
1
2
1
1
3
1
4
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
8
11
1
2
1
1
5
5
1
1
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
6
1
1
1
2
2
1
17
1
1
1
1
1
12
1
1
10
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
3
2
2
1
1
2
1
1
5
2
1
2
3
1
1
1
1
4
1
2
1
2
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
2
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
5
1
3
3
1
1
1
1
1
1
3
1
1
2
1
8
2
8
14
3
1
1
1
1
1
1
1
8
4
1
1
1
1
2
2
2
2
1
1
1
2
2
1
2
5
2
1
4
1
1
1
1
1
1
1
6
1
3
3
1
3
1
1
1
1
3
3
1
1
1
1
2
1
4
1
2
1
1
3
2
1
1
2
1
1
3
2
1
2
2
2
1
5
1
1
3
1
1
1
2
1
7
6
1
1
20
5
1
4
4
4
1
2
6
1
2
1
1
1
2
6
1
3
1
1
6
3
3
3
2
2
1
1
2
2
1
3
1
1
1
3
6
2
3
1
1
1
1
6
1
3
1
1
1
1
2
1
1
1
1
8
1
1
3
1
4
1
3
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
11
1
9
1
2
1
1
2
1
1
7
1
2
1
1
1
5
5
5
1
3
1
6
1
56
15
1
1
1
1
1
1
1
2
1
1
1
73
1
1
1
1
1
1
2
7
1
1
3
1
1
1
1
1
1
3
1
2
3
1
1
3
3
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
1
1
3
14
2
1
1
1
2
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
14
1
1
2
3
1
1
3
1
1
1
1
1
1
3
1
2
1
6
1
2
1
3
1
1
1
1
4
2
2
1
9
1
5
1
1
2
1
1
1
3
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
23
1
1
1
1
2
6
1
1
2
1
7
3
1
1
1
1
6
2
2
1
2
4
3
1
1
1
2
1
3
4
1
1
2
2
1
11
1
2
2
2
7
1
11
1
1
2
1
1
1
31
10
5
1
1
22
1
11
1
1
2
2
4
1
1
1
5
1
2
8
2
3
1
3
1
7
1
2
2
4
2
2
1
2
1
1
13
3
1
4
1
1
3
1
4
2
1
16
1
1
1
1
2
1
2
1
2
4
9
1
3
2
1
1
1
1
2
1
1
1
7
1
2
5
1
3
1
1
3
1
7
3
1
1
1
2
1
1
1
3
2
1
2
1
1
1
2
1
1
1
1
1
2
17
5
1
2
1
6
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
4
1
126
6
4
1
1
23
1
1
5
1
1
2
1
1
1
3
5
6
1
1
28
3
2
2
3
1
1
1
1
1
1
3
10
1
1
3
1
1
1
6
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
5
2
2
1
1
2
1
2
1
1
1
2
1
1
1
18
2
1
3
1
2
1
2
4
1
1
1
1
1
3
1
1
1
1
1
4
8
2
1
1
1
1
8
1
1
1
2
3
3
1
1
3
1
4
2
1
486
1
2
1
6
1
2
1
1
1
14
1
1
3
2
4
14
1
1
4
15
5
1
6
1
1
1
1
1
1
16
1
3
1
1
9
1
1
1
2
1
1
1
2
1
1
4
5
9
28
1
1
1
4
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
5
1
12
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2