17
10
1
1
1
1
4
2
1
1
1
1
2
2
3
1
1
5
1
1
2
2
1
4
1
1
1
10
1
3
1
2
1
2
2
11
1
7
2
1
1
1
6
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
5
2
7
1
1
9
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
3
5
7
1
2
1
1
1
22
1
3
1
3
1
4
2
1
1
6
3
5
1
1
1
3
1
1
2
1
2
1
12
1
1
1
1
1
2
4
21
3
2
3
1
2
2
3
4
7
1
2
1
20
1
1
1
1
1
2
1
1
1
2
5
1
1
1
3
1
1
2
2
1
1
1
1
1
5
2
7
2
2
2
4
1
1
1
10
1
1
1
1
2
1
1
1
1
1
1
7
2
1
5
5
2
1
1
1
1
2
1
4
2
2
5
1
1
1
1
1
6
3
17
5
1
1
1
1
1
1
1
2
4
1
1
1
1
7
1
1
3
1
5
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
5
4
7
4
1
1
6
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
22
1
1
1
1
1
10
1
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
4
2
1
1
1
2
1
2
1
1
2
1
3
1
10
3
1
1
1
1
1
1
1
3
2
3
1
1
1
1
7
1
1
1
2
5
1
1
1
2
2
1
1
7
5
1
2
3
1
1
1
1
7
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
2
1
1
1
1
1
10
1
1
1
1
1
17
1
1
1
1
1
1
1
4
4
1
3
1
1
1
1
3
2
4
2
1
1
1
1
1
1
1
1
1
2
1
2
2
2
1
3
6
2
1
1
1
1
5
2
2
1
1
1
1
2
8
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
2
8
4
2
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
3
2
2
1
2
1
2
1
2
1
5
1
1
5
1
1
1
17
1
4
3
1
1
1
1
1
2
1
1
1
3
1
208
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
10
2
1
7
2
5
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
7
1
1
1
1
1
1
1
13
1
1
1
1
1
3
2
1
17
1
1
2
1
3
1
22
2
2
1
2
1
1
7
1
1
2
1
1
2
1
1
1
2
1
2
4
1
1
3
2
1
1
1
1
242
1
1
1
1
1
1
1
1
8
1
2
1
1
1
2
1
1
1
5
7
1
2
1
1
1
3
7
4
1
1
1
2
1
3
1
1
9
2
2
1
1
7
1
7
1
1
1
1
1
1
1
2
1
1
2
2
3
1
1
1
4
5
1
2
7
1
1
4
1
1
3
2
4
3
2
1
1
1
2
1
4
3
1
4
36
1
1
2
1
1
1
1
1
3
2
4
1
5
1
1
2
1
1
1
1
4
1
1
1
20
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
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
5
1
1
2
3
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
2
2
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
2
1
3
3
48
1
1
3
1
1
1
1
6
3
1
1
9
1
1
1
1
2
6
1
1
1
1
2
1
6
2
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
5
2
1
4
1
4
16
1
2
8
1
1
1
4
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
16
3
4
3
2
1
1
2
1
43
3
3
4
1
2
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
2
1
15
1
1
1
4
2
1
1
2
1
1
1
1
4
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
31
1
2
1
2
1
3
1
9
3
4
1
1
1
1
1
1
1
2
9
7
1
1
1
41
4
1
1
1
1
6
1
1
2
1
1
1
1
2
8
1
1
2
1
1
1
2
5
1
5
5
1
1
1
5
2
2
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
4
2
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
4
17
1
12
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
4
1
1
2
1
3
1
1
1
2
3
1
1
1
1
1
1
2
2
1
5
4
3
5
7
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
38
2
1
1
1
1
2
1
1
4
1
1
1
1
1
2
2
1
1
2
1
1
2
1
2
1
1
1
1
1
5
4
4
2
1
1
1
2
1
1
1
1
2
1
2
6
23
1
1
1
2
2
1
1
1
1
6
1
2
1
1
5
1
1
1
11
1
1
1
2
2
1
1
7
4
2
2
10
14
1
3
4
4
1
2
1
2
1
2
1
1
1
1
3
1
1
2
11
9
1
1
2
1
1
1
1
1
1
1
2
2
1
9
3
1
1
1
1
1
1
2
8
5
1
2
1
4
2
1
1
8
1
1
1
7
1
1
5
1
1
1
2
1
1
1
1
20
2
5
1
2
1
1
1
6
1
1
3
1
4
2
2
2
1
1
4
2
1
1
1
5
1
3
1
5
1
3
1
1
2
1
1
2
2
1
1
1
1
2
1
7
7
3
1
2
1
1
1
2
1
1
7
2
1
3
1
1
2
2
1
2
1
1
1
4
1
2
1
1
3
1
1
1
7
3
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
8
3
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
3
2
1
1
3
2
3
1
1
1
1
2
1
4
1
1
1
1
1
5
1
1
2
1
4
1
1
1
1
4
1
1
3
1
9
4
1
1
1
1
1
2
1
1
5
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
5
1
4
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
3
2
1
2
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
2
5
1
2
1
1
1
1
1
1
4
2
2
1
1
1
1
2
1
5
2
4
1
1
1
1
1
1
1
1
1
1
1
3
6
3
2
1
4
2
3
3
1
1
1
2
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
25
1
1
1
2
1
4
3
1
7
1
2
1
1
1
1
1
1
4
1
1
4
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
3
1
2
4
13
19
17
2
3
1
5
1
1
1
2
2
1
1
1
1
1
1
1
1
2
5
1
1
1
2
2
1
11
7
2
1
1
4
6
1
2
1
2
3
10
3
4
1
8
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
1
2
3
1
1
1
1
2
1
8
2
2
2
5
1
2
1
1
1
2
1
1
1
1
2
2
2
2
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
7
1
1
1
1
1
1
3
1
4
1
1
3
1
1
1
8
2
1
1
1
1
5
1
3
3
10
3
1
1
6
6
2
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
2
1
1
1
1
2
1
1
2
1
2
20
1
2
1
1
1
14
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
22
1
1
2
1
1
1
1
3
1
1
1
2
2
1
1
1
1
18
2
2
1
1
4
1
1
1
1
1
2
1
1
3
2
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
4
1
4
6
2
3
5
1
1
3
3
1
1
2
2
2
2
2
1
1
2
2
1
14
1
1
1
1
1
1
1
3
1
2
1
2
1
2
6
1
2
5
1
1
4
1
1
3
2
2
1
1
1
1
2
2
2
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
2
1
1
6
1
3
1
15
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
6
1
1
4
2
1
1
13
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
4
1
1
2
1
1
2
1
2
1
3
5
3
1
1
2
1
1
1
4
1
1
1
1
46
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
5
1
1
2
1
1
1
2
18
13
1
1
1
1
1
3
1
4
1
1
2
1
1
5
1
1
1
3
1
2
3
5
1
1
4
1
3
1
1
1
3
1
1
11
1
2
3
2
3
1
1
1
2
2
1
1
5
1
6
1
7
3
1
2
1
5
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
5
1
1
2
1
1
3
1
3
4
1
1
4
1
3
1
2
1
1
1
2
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
2
2
1
3
1
1
1
5
5
1
1
2
2
2
1
1
2
1
1
1
1
1
3
4
1
1
3
1
2
3
4
1
1
2
1
1
2
1
13
2
2
1
2
1
13
3
4
6
1
1
3
44
1
2
1
1
1
1
1
2
1
1
20
3
1
1
1
5
1
2
1
1
13
1
3
1
1
1
1
12
7
2
1
1
2
1
1
1
2
2
4
1
1
5
1
2
2
1
1
3
1
1
1
1
1
1
1
1
3
5
1
2
1
1
3
1
1
2
2
1
1
2
1
1
1
1
1
1
2
1
1
3
2
1
1
7
2
5
3
6
1
1
1
1
9
1
1
2
2
1
1
1
1
1
3
4
1
2
1
2
1
1
1
1
1
2
1
1
1
1
17
3
1
1
5
2
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
3
3
1
1
2
1
3
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
3
1
6
3
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
8
1
4
2
1
2
1
1
1
1
12
1
1
2
1
2
1
2
1
3
1
2
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
4
19
1
1
8
1
1
1
1
1
1
1
1
5
2
2
2
1
1
1
1
1
1
2
3
4
1
2
4
1
1
1
1
3
2
1
1
1
2
1
1
3
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
4
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
149
1
3
1
5
1
1
1
2
3
1
8
1
3
1
4
1
6
30
1
1
5
1
1
1
1
1
1
1
1
2
2
1
8
1
1
5
1
1
2
1
1
1
1
1
1
1
1
22
1
3
1
16
1
2
1
4
1
1
2
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
5
1
6
2
1
7
1
1
1
2
2
1
1
1
2
1
1
9
2
5
1
3
1
1
4
1
1
1
1
1
8
4
2
6
1
2
1
2
1
1
1
1
2
1
1
3
10
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
2
2
1
1
2
1
2
1
1
2
1
1
1
1
3
3
1
1
1
1
3
2
1
10
1
11
1
1
1
1
2
2
1
1
1
1
1
1
1
2
3
3
1
42
1
3
2
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1068
1
1
1
1
7
1
3
1
3
4
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
2
7
1
4
1
1
6
1
2
1
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
7
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
3
1
2
1
1
9
2
2
2
1
1
1
5
1
2
9
3
1
2
1
1
1
1
1
4
2
1
1
3
15
1
2
17
1
1
20
1
2
1
1
1
3
1
3
6
1
1
1
3
1
1
1
1
2
1
2
2
2
1
5
1
1
1
1
1
24
2
1
2
2
1
1
1
20
1
1
1
2
1
1
5
10
8
7
32
1
1
2
1
19
15
4
1
1
1
2
1
1
3
3
1
1
13
1
2
2
1
1
1
1
1
1
1
7
2
1
2
1
12
1
2
1
3
9
1
1
2
1
1
1
2
1
1
1
3
2
1
1
2
1
1
2
4
2
1
5
1
1
1
2
3
2
2
5
2
1
3
1
2
1
1
1
3
1
3
1
1
1
1
1
2
2
2
1
1
1
5
2
1
3
8
1
7
1
1
2
1
1
1
4
1
3
1
107
1
1
2
1
1
1
1
1
1
1
1
2
2
2
3
1
1
6
1
1
1
1
11
7
1
1
1
1
1
1
3
5
2
2
3
15
1
1
2
1
2
1
1
1
1
1
2
1
2
1
7
4
1
1
1
1
2
1
1
2
1
7
8
2
1
1
1
1
1
2
2
3
1
1
1
1
1
4
3
9
1
2
1
2
7
2
1
3
1
1
2
1
1
2
1
2
1
1
1
1
4
1
3
1
2
2
9
1
1
1
1
3
2
2
1
1
1
1
1
2
1
1
1
1
1
2
186
6
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
3
1
1
2
3
1
1
1
5
1
7
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
10
2
2
1
16
1
1
1
1
1
1
1
6
3
1
2
1
1
2
1
6
2
2
2
1
1
1
1
1
1
2
1
4
12
1
5
10
1
1
1
5
1
1
1
7
1
3
1
1
1
1
2
2
2
1
14662
1
1
1
5
2
1
1
14
1
2
2
1
2
1
1
3
1
1
2
1
1
1
1
1
2
1
4
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
6
4
2
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
1
1
2
2
5
1
2
2
1
1
2
7
2
1
1
302
1
2
1
18
1
2
1
7
1
1
2
1
4
1
1
1
1
1
1
4
1
1
2
1
1
1
2
2
1
1
1
3
1
4
3
1
1
2
1
1
1
3
1
2
2
1
1
1
1
3
1
1
1
1
93
1
1
14
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
4
3
1
1
2
4
3
1
3
1
1
2
2
2
2
1
1
4
1
1
1
1
2
1
2
1
1
1
1
10
1
1
1
1
2
1
3
1
1
1
1
2
1
1
3
1
1
3
1
9
2
1
3
1
1
1
1
3
1
4
1
3
18
1
1
2
1
1
2
2
1
1
1
1
1
1
1
4
1
2
1
1
1
11
1
2
1
1
1
1
2
2
1
1
18
2
1
1
1
1
1
3
3
2
5
1
1
2
3
3
1
1
1
1
30
1
1
1
1
1
2
2
1
4
1
4
4
1
1
1
7
1
1
1
1
2
1
1
1
1
1
2
1
5
4
1
1
2
4
2
1
1
1
1
1
1
5
9
1
2
2
1
2
1
15
3
1
1
1
1
1
6
1
1
1
12
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
2
25
1
1
170
1
1
1
1
1
4
1
3
1
2
1
1
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
2
1
3
2
10
13
1
1
1
1
1
8
1
6
1
1
2
1
1
1
2
3
1
1
2
10
2
1
1
1
3
1
2
2
1
1
2
1
8
5
4
3
1
1
1
1
1
1
2
1
3
2
1
1
3
1
1
1
2
1
1
1
1
17
1
4
1
1
1
4
1
5
1
1
1
1
1
7
1
13
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
5
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
4
1
1
1
1
2
15
1
2
1
2
2
2
3
1
1
1
3
1
1
2
1
2
1
1
2
1
1
1
12
2
1
1
1
1
1
1
6
1
1
9
2
1
1
1
1
1
2
1
2
1
1
1
2
3
1
2
1
1
1
4
8
2
1
2
1
1
1
2
4
1
1
5
1
1
2
1
1
1
1
2
1
2
1
1
2
1
9
1
1
1
1
4
1
1
3
1
1
1
1
2
3
1
1
2
12
1
1
2
1
2
1
1
5
3
1
3
1
2
1
1
1
1
1
1
2
1
1
4
2
1
1
1
1
1
1
2
9
3
1
1
1
2
2
1
1
2
4
1
5
1
1
1
1
1
1
1
1
54
2
1
1
1
2
1
2
1
1
1
2
1
10
2
2
1
2
1
2
1
1
8
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
8
1
1
2
5
2
5
1
2
2
4
3
1
1
1
1
7
1
2
2
1
1
1
3
11
7
1
1
11
2
1
1
12
1
2
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
2
5
3
1
2
2
11
1
3
1
1
1
1
1
1
3
1
2
1
1
23
1
1
22
2
1
1
1
1
1
3
4
3
1
1
1
1
3
4
1
1
1
1
1
1
1
2
5
1
1
5
4
1
5
3
1
5
1
1
2
3
1
9
2
1
3
1
2
3
1
2
1
1
2
1
2
1
1
1
2
6
1
13
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
4
1
1
1
2
48
1
1
1
1
1
1
1
1
4
3
1
4
2
8
1
1
1
1
1
3
7
1
1
1
1
2
2
13
4
1
2
1
1
1
2
2
1
4
1
4
1
5
1
2
1
1
3
14
22
1
3
4
1
1
1
10
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
2
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
4
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
4
1
1
1
1
1
1
2
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
2
2
2
2
2
2
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
2
2
7
1
1
1
2
1
1
1
2
1
3
2
3
1
1
1
1
1
2
2
6
2
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
4
1
6
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
6
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
6
1
1
1
3
1
3
1
2
3
3
2
1
2
3
1
1
2
1
1
2
1
2
2
2
1
1
2
3
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
2
2
3
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
2
2
1
3
1
2
2
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
2
1
1
2
2
3
1
1
2
1
2
1
1
1
1
2
5
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
2
2
1
3
3
3
2
2
1
1
1
4
1
1
2
2
2
1
1
3
2
1
1
1
2
1
2
1
1
1
2
1
2
1
2
1
5
2
1
1
5
7
1
1
1
1
2
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
1
2
1
2
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
4
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
2
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
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
2
1
2
6
1
1
1
1
1
2
2
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
5
2
1
1
1
1
3
3
1
2
1
1
2
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
22
1
1
1
13
1
5
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
11
2
1
1
3
1
6
2
1
1
2
1
8
1
1
1
2
1
3
1
12
1
1
2
1
2
2
1
1
1
1
2
1
1
2
17
39
2
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
14
9
2
6
1
15
1
1
3
1
2
1
3
3
18
2
3
3
1
1
1
1
1
1008
3
2
2
1
1
1
2
1
1
1
1
2
3
1
1
2
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
3
2
1
1
6
1
1
2
1
1
2
1
1
2
2
1
1
1
3
12
2
1
1
2
15
1
2
1
1
1
2
1
2
1
3
2
1
1
1
2
1
4
1
1
1
1
3
3
2
4
1
3
1
2
3
3
9
2
1
2
1
1
1
2
1
2
1
1
1
20
1
3
2
1
5
6
2
4
4
2
2
1
1
2
1
1
1
2
1
4
1
1
3
1
1
1
1
3
3
1
2
2
6
1
1
9
1
1
7
1
1
1
1
1
1
2
2
3
2
1
1
2
4
1
1
18
10
1
1
1
2
1
1
8
1
1
2
1
1
8
8
1
1
2
2
1
1
2
1
1
1
8
1
6
1
3
1
1
2
1
1
1
2
2
4
3
2
3
1
5
1
1
1
1
1
1
7
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
2
4
3
1
1
1
1
1
17
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
7
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
2
1
3
1
2
5
1
2
1
3
1
1
1
1
1
4
1
1
1
1
4
1
4
2
1
2
1
3
2
1
2
1
1
1
1
12
1
2
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
4
1
1
1
1
5
1
2
3
1
2
2
1
1
1
8
2
1
5
1
1
1
1
2
2
2
1
2
11
6
2
3
1
1
1
55
1
2
2
8
1
2
1
1
1
1
1
1
1
2
4
1
1
1
1
4
1
3
4
3
2
4
2
1
1
1
1
3
1
1
2
1
2
2
1
1
6
1
1
1
1
1
1
7
2
4
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
13
1
2
1
1
1
8
1
1
1
2
1
2
1
1
1
5
1
1
1
1
4
1
1
7
1
11
1
28
1
2
1
1
1
1
1
5
4
10
2
1
13
1
1
1
1
1
1
1
1
5
1
1
2
1
3
2
6
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
15
2
2
1
2
1
2
3
3
1
1
1
1
1
1
1
1
4
29
1
2
2
1
1
1
1
1
1
1
1
3
1
1
17
3
1
1
1
1
1
1
6
1
3
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
2
1
1
1
1
1
2
3
1
1
3
1
126
4
1
1
2
1
1
1
1
5
1
1
1
1
9
1
2
1
1
1
2
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
10
8
2
2
1
1
1
4
1
1
2
1
2
1
1
5
3
1
1
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
3
1
15
1
3
3
1
2
1
2
1
7
1
1
1
5
1
1
1
1
1
1
2
2
1
1
1
1
2
5
1
1
3
2
4
2
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
2
1
1
1
3
55
1
2
1
1
1
1
2
1
2
18
1
2
1
3
1
1
1
1
3
3
1
4
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
11
1
1
12
4
1
2
1
1
2
1
1
1
1
1
2
1
2
3
1
1
1
1
3
2
1
1
1
5
1
1
1
1
1
12
2
2
4
2
1
9
3
1
6
1
1
1
2
1
1
1
1
2
1
1
1
1
2
2
2
1
1
1
1
1
1
4
2
1
1
1
1
1
2
1
4
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
4
1
1
2
1
4
2
1
1
1
1
1
1
1
1
1
5
2
2
1
1
4
1
1
2
4
1
1
1
4
1
3
2
1
1
1
1
1
1
2
1
1
7
1
5
1
18
1
4
1
1
1
1
2
1
1
6
2
1
1
2
4
1
1
2
2
1
1
1
2
1
7
1
2
1
1
1
1
1
1
1
2
1
10
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
3
1
8
1
1
1
2
1
2
2
1
1
1
2
1
1
1
2
1
1
3
1
26
1
3
1
2
1
1
1
4
1
1
4
1
4
1
1
2
1
1
2
4
1
2
1
1
4
2
10
2
3
7
1
1
1
2
2
1
1
1
1
1
1
1
6
3
1
2
1
1
1
1
10
2
3
1
1
1
1
4
8
1
1
1
1
1
1
5
3
1
4
1
2
2
1
1
1
2
1
2
1
1
4
10
1
6
1
1
1
1
1
9
4
2
2
2
1
1
4
2
6
3
2
1
3
2
1
1
4
1
59
12
1
2
1
1
1
1
1
67
1
1
2
4
6
3
1
1
1
5
1
5
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
2
1
1
1
4
1
3
1
1
1
1
1
4
1
1
2
1
3
2
8
2
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
19
1
1
2
1
1
8
3
3
2
2
3
3
1
3
1
2
2
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
11
3
3
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
7
1
1
2
1
1
1
2
1
6
1
1
1
5
7
1
2
1
1
15
1
1
3
1
12
1
12
1
1
15
5
1
17
1
1
14
2
2
1
2
4
4
1
1
1
5
5
2
1
2
1
1
1
2
1
7
1
1
1
5
3
6
1
1
9
1
4
1
3
1
2
5
1
20
2
1
1
5
4
2
1
1
1
3
1
1
1
6
1
1
1
2
2
1
3
1
1
1
3
1
1
3
2
1
2
6
1
4
1
1
1
3
3
4
5
1
1
1
1
18
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
4
5
3
4
2
1
1
1
1
1
1
1
1
1
1
1
2
2
130
6
2
1
23
3
1
7
1
2
2
5
8
1
1
1
24
1
3
2
3
1
1
1
1
1
2
1
1
1
2
1
1
2
4
5
1
1
6
2
4
1
6
5
2
1
1
1
1
1
2
1
1
1
1
1
6
1
1
1
2
1
1
1
1
1
1
22
2
1
1
1
4
1
4
1
1
2
1
1
2
1
1
1
2
1
1
2
1
2
4
2
1
2
2
1
1
1
2
1
4
4
1
1
4
495
1
1
3
1
3
12
1
1
3
4
6
3
1
1
4
13
1
1
1
4
18
1
7
2
1
1
1
1
12
1
1
8
2
1
1
1
5
1
10
1
1
23
1
1
1
1
1
1
1
1
1
1
1
2
1
7
14
1
1
2
1
3
1
2
1
1
2
5
2
1
2
1
1
2
