1
1
1
3
1
1
1
1
3
1
5
5
1
1
6
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
42
1
1
1
17
1
1
1
1
1
1
22
3
1
1
1
1
1
1
1
3
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
1
1
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
180
1
5
1
1
1
1
1
1
1
1
1
1
12
1
18
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
8
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
6
1
1
1
6
5
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
3
1
1
1
1
1
1
1
3
1
3
1
5
3
1
1
1
1
5
1
1
9
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
1
1
1
1
3
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
6
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
5
1
6
1
1
1
3
1
3
3
1
3
1
4
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
5
1
1
1
3
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
1
1
6
1
1
1
3
1
3
1
1
1
1
3
1
1
1
19
1
1
1
1
1
12
1
1
1
1
7
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
46
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
6
11
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
2
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
5
1
1
1
1
1
1
1
1
1
3
61
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
13
15
1
3
3
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
7
1
1
1
1
1
7
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
6
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
3
3
1
1
3
1
1
1
3
1
1
1
10
1
1
1
3
6
3
4
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
3
3
3
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
4
1
5
1
1
3
1
1
1
1
10
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
5
25
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
3
1
1
1
1
3
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
13
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
3
1
1
1
19
1
1
1
1
1
1
3
1
1
1
16
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
8
1
1
1
5
3
16
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
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
7
1
1
1
1
1
30
1
1
1
1
1
1
1
3
3
3
1
1
4
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
1
5
1
1
1
133
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
10
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
9
4
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
3
1
1
1
43
1
7
1
1
1
1
1
1
1
14
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
3
1
1
1
1
1
1
10
1
5
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
3
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
3
218
1
1
1
3
1
3
3
1
5
5
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
4
1
1
1
3
5
1
1
1
1
1
1
1
1
1
4
5
3
1
1
1
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
1
5
1
1
1
623
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
5
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
3
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
5
1
3
1
1
1
1
5
1
1
1
1
3
128
1
1
3
1
1
1
1
1
1
4
1
3
1
1
1
1
1
36
1
3
1
1
1
3
1
3
23
1
184
1
1
1
1
1
3
3
1
1
1
1
1
10
1
1
3
6
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
8
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
28
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
5
1
6
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
5
39
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
3
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
10
1
2
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
9
3
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
3
1
1
1
1
3
1
3
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
8
1
1
1
5
1
1
5
3
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
3
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
3
11
5
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
4
1
1
1
1
12
1
1
3
1
1
1
1
1
112
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
5
1
1
1
1
3
1
10
1
1
1
1
1
3
1
1
1
1
1
5
1
1
5
3
3
1
3
1
1
1
1
1
9
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
10
1
9
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
3
3
1
1
1
1
1
1
1
1
1
16
1
3
5
1
1
1
1
1
15
1
1
1
1
7
1
12
3
1
1
1
1
1
1
1
60
1
3
1
1
1
1
1
1
1
1
1
1
1
1
126
1
1
3
1
3
3
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
3
1
1
18
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
58
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
3
1
1
1
1
5
4
1
6
12
1
6
1
1
1
1
1
1
1
1
1
3
1
3
1
6
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
368
1
3
1
1
1
1
1
1
1
4
2
1
9
1
1
1
1
1
5
1
1
18
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
1
64
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
3
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
2470
1
1
11
1
1
3
1
1
3
1
1
1
1
1
5
1
1
11
5
3
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
682
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
5
1
4
1
1
3
1
1
1
1
1
5
1
1
7
1
1
1
1
1
3
1
1
2
1
18
1
3
1
1
1
1
1
1
3
1
1
3
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
17
1
3
1
1
4
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
3
1
1
1
1
26
1
1
1
7
1
1
1
1
1
1
3
1
12
3
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
14
1
3
1
1
1
1
1
1
1
1
1
1
1
27
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
6
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
34
1
1
1
1
1
3
3
4
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
7
1
1
1
5
1
1
1
7
1
1
5
6
1
1
3
1
4
1
1
1
1
1
1
1
1
4
1
1
54
1
1
1
5
1
1
1
1
1
1
1
1
10
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
4
3
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
8
1
1
3
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
3
2
3
5
1
1
3
1
1
1
11
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
7
1
1
3
1
1
1
3
3
1
3
1
1
1
1
1
1
1
7
1
1
1
3
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
1
2
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
1
1
3
1
1
1
1
3
1
1
6
1
5
1
1
1
5
3
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
10
2
1
1
14
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
3
1
1
1
3
1
3
1
1
5
3
1
1
1
5
3
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
14
7
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
6
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
1
1
3
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
4
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
5
1
3
1
3
3
1
1
7
1
1
1
1
1
3
1
1
5
1
1
5
3
1
1
1
1
1
1
1
1
1
1
11
1
1
3
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
114
4
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
4
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
5
1
3
3
1
3
3
5
1
48
1
1
5
3
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
5
3
9
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
10
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
7
1
8
1
6
1
1
1
1
94
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
24
1
1
1
1
1
1
4
1
1
3
1
7
3
1
1
7
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
11
1
1
1
3
1
1
5
1
1
1
1
2
1
3
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
7
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
2
10
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
11
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
116
1
1
1
1
6
1
3
1
1
1
1
1
1
3
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
1
1
1
7
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
3
3
1
1
1
1
1
1
1
16
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
26
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
3
1
3
1
1
1
1
1
1
3
1
1
1
7
1
1
6
1
3
1
1
1
1
1
8
1
30
1
1
1
3
1
1
1
1
1
2
1
3
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
9
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
24
5
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
52
1
1
10
1
1
1
4
1
1
1
3
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
82
1
1
1
7
1
3
1
3
3
1
1
1
1
1
1
3
1
5
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
5
1
1
1
3
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
3
1
1
1
1
3
1
1
1
1
1
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
1
1
1
1
1
1
1
1
5
1
1
1
3
1
5
1
1
1
3
1
1
1
1
5
1
1
1
10
1
1
1
1
1
1
3
6
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
3
3
1
1
1
8
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
2
3
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
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
4
2
1
1
1
3
1
1
1
1
3
1
1
1
1
7
1
3
3
1
3
1
1
2
1
1
3
3
3
1
1
1
1
5
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
5
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
1
1
5
26
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
24
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
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
28
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
32
1
1
1
4
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
7
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
18
3
1
1
3
1
3
1
1
1
1
3
1
1
5
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
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
1
5
1
1
1
1
3
1
1
1
1
1
26
1
9
3
1
1
1
1
1
2
1
3
2
1
1
1
1
3
1
1
1
1
1
3
1
14
5
1
1
1
9
1
1
1
1
1
1
1
1
4
1
30
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
3
1
1
29
1
1
1
1
1
1
8
6
1
1
1
1
1
1
1
3
1
1
252
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
15
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
42
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
5
1
1
1
1
1
7
5
1
1
1
5
1
1
3
1
4
15
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
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
5
1
1
3
3
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
5
1
1
1
1
1
1
3
1
1
5
1
1
12
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
4
3
4
1
3
1
1
3
1
1
1
3
1
3
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
25
1
1
4
1
1
7
1
1
1
1
1
1
1
1
5
5
3
1
6
3
1
1
1
1
1
1
1
1
1
10
1
1
1
1
3
1
1
4
1
1
1
3
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
11
1
1
1
1
1
1
1
1
7
1
3
3
1
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
5
1
1
1
8
1
3
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
5
1
3
1
1
9
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
2
3
1
1
9
3
1
1
3
1
1
1
1
4
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
4
3
1
1
1
1
1
3
5
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
7
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
5
1
1
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
1
3
1
1
17
20
1
2
1
2
3
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
17
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
5
1
3
1
1
7
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
20
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
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
10
2
3
1
1
3
5
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
5
1
1
1
1
1
1
1
7
1
3
1
1
1
1
54
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
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
653
3
3
1
1
1
3
1
4
1
3
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
4
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
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
11
3
3
1
11
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
4
3
1
1
1
1
1
3
3
1
3
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
5
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
5
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
2
1
1
8
1
1
5
3
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
5
1
1
1
3
1
1
3
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
15
3
1
1
3
1
1
1
1
1
3
3
3
1
3
9
1
3
3
1
1
1
1
1
1
1
35
1
1
1
1
15
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
3
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
3
1
3
1
1
1
1
1
1
1
1
1
1
1
10
1
5
1
1
3
1
1
1
1
1
1
6
7
1
1
1
1
5
1
1
3
1
1
1
404
1
3
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
1
1
1
8
1
8
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
1
22
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
3
1
1
8
1
1
1
1
1
3
5
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
3
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
7
1
5
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
1
1
51
1
1
1
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
2
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
3
1
28
37
1
1
1
3
1
1
9
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
76
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
42
1
1
1
1
1
1
1
17
1
1
3
1
1
1
1
1
8
1
1
5
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
114
1
1
1
1
5
3
5
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
7
3
5
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
12
1
1
1
1
1
1
4
1
1
1
1
4
35
1
1
1
1
1
1
1
1
1
1
3
1
3
6
3
1
1
1
3
1
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
34
11
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
22
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1111
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
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
59
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
5
5
3
1
1
5
1
1
1
1
1
1
5
23
1
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
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
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
38
10
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
8
1
1
1
1
1
1
3
1
3
6
3
1
1
1
1
1
1
1
3
1
18
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
12
1
1
13
1
4
10
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
8
1
1
26
1
1
1
1
1
82
1
1
3
1
6
1
1
1
17
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
7
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
16
1
1
1
10
1
1
1
1
1
1
1
8
1
3
1
1
1
5
1
1
1
1
3
148
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
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
1
16
1
1
1
1
1
1
1
3
3
1
22
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
585
1
3
1
1
3
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
3
1
1
3
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
5
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
4
3
1
3
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
1
7
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
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
12
1
3
9
1
3
1
11
1
1
1
1
1
1
3
12
1
1
1
3
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
3
1
1
3
3
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
5
5
3
1
5
1
1
1
8
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
3
1
1
3
1
1
3
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
12
1
1
1
1
1
5
3
1
1
3
1
1
1
5
20
1
4
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
29
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
8
1
5
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
6
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
2
62
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
19
1
1
1
1
1
3
1
1
1
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
3
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
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
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
3
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
90
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
112
1
1
1
1
1
1
1
1
1
1
3
1
5
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
12
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
9
1
1
1
1
2
3
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
31
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
8
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
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
15
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
3
78
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
10
3
5
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
30
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
2
1
1
3
11
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
3
1
5
1
3
1
1
1
1
3
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
16
1
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
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
1
1
5
1
1
1
1
1
4
1
1
1
1
1
1
21
1
1
1
1
3
3
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
4
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
5
1
1
1
1
3
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
6
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
37
1
1
1
20
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
3
1
5
1
1
5
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
14
1
5
1
1
5
7
1
1
1
3
1
3
1
1
1
1
3
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
4
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
3
5
1
1
1
3
5
1
1
3
1
5
3
1
30
1
1
1
1
7
1
3
1
3
1
1
1
1
1
3
1
1
5
1
3
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
3
1
1
3
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
3
1
3
1
5
1
1
1
1
1
1
1
1
1
7
1
3
5
3
1
6
3
1
1
1
157
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
1
3
1
3
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
8
7
4
1
1
1
1
1
1
1
1
1
1
1
7
1
7
2
1
1
1
1
1
1
3
1
1
1
1
11
1
1
1
3
4
3
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
3
1
1
1
1
1
3
1
1
1
3
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
4
1
1
1
1
4
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
32
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
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
6
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
3
1
14
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
5
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
17
1
3
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
8
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
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
1
1
1
1
1
1
1
1
1
1
3
1
72
1
1
1
1
1
3536
3
1
1
3
3
1
3
1
1
1
1
1
1
5
1
1
1
8
1
1
1
3
1
1
1
5
1
1
1
1
1
3
20
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
3
6
1
3
1
1
2
1
3
9
1
1
7
1
1
1
3
1
1
1
1
95
1
12
1
1
3
5
1
1
9
1
1
1
1
1
1
5
1
1
1
3
12
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
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
1
1
4
1
3
2
1
1
1
1
1
1
4
3
10
3
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
5
8
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
46
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
3
3
3
1
1
1
1
1
1
5
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
3
2
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
3
1
1
1
11
1
1
11
1
1
1
1
3
1
1
3
1
1
1
1
8
1
1
5
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
38
1
2
1
34
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
38
1
1
1
1
3
1
1
1
3
1
1
1
4
1
1
5
3
1
5
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
85
3
3
1
3
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
3
1
1
1
9
1
1
1
1
3
3
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
1
1
1
1
1
3
1
8
1
1
1
18
1
1
3
1
1
1
1
1
1
1
1
1
5
1
7
1
1
1
1
1
3
1
6
1
1
1
1
1
1
1
30
5
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
14
1
4
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
17
3
1
1
3
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
9
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
3
3
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
1
3
1
1
1
1
3
1
3
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
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
3
1
1
5
1
1
5
1
1
5
1
1
3
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
3
1
11
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
2
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
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
3
11
1
1
1
1
1
1
18
1
1
1
1
1
3
1
1
3
1
1
1
6
1
7
1
1
1
404
1
8
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
153
1
1
1
1
1
1
1
1
1
20
3
3
1
3
1
1
3
1
1
1
1
2
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
4
1
36
3
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
5
5
1
1
1
3
1
2
44
1
1
1
1
1
1
1
1
1
1
4
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
6
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
3
6
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
38
1
1
1
1
3
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
5
1
1
1
1
1
3
3
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
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
7
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
4
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
80
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
2
3
11
1
1
1
12
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
5
24
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
1
1
1
1
1
1
1
3
16
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
3
1
1
46
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
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
8
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
3
1
3
1
4
4
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
5
1
1
9
1
1
1
1
1
1
13
1
1
1
1
1
3
1
1
3
1
1
1
1
1
7
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
4
1
1
1
1
4
1
1
1
1
1
3
1
3
25
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
3
1
1
1
1
1
1
3
1
1
65
1
1
1
5
1
3
1
3
1
1
1
3
1
3
1
3
1
1
1
3
1
3
1
1
1
9
5
1
1
1
1
1
1
1
1
1
6
1
1
3
1
3
4
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
3
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
1
48
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
7
1
1
1
3
1
1
3
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
28
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
21
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
3
3
1
1
10
5
1
1
1
1
2
1
3
1
1
1
1
1
3
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
10
1
3
1
3
1
2
1
1
1
6
1
1
1
8
1
1
1
1
1
3
3
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
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
12
1
1
1
1
1
8
1
1
1
1
3
1
3
1
1
30
1
1
3
3
3
1
16
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
3
1
1
16
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
5
1
1
3
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
5
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
5
1
1
3
1
1
1
3
1
1
1
3
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
34
1
1
1
1
1
1
5
3
1
1
1
4
1
1
3
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
3
1
4
1
5
1
1
1
3
1
3
1
1
1
49
5
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
3
1
3
10
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
5
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
4
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
8
1
3
3
32
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
6
1
1
4
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
35
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
12
3
1
1
1
3
1
1
34
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
2
1
7
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
5
1
4
1
1
1
1
2
1
3
1
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
47
1
1
1
1
1
3
6
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
9
1
1
1
3
1
1
1
1
13
3
9
1
3
1
1
1
1
1
1
1
1
1
114
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
5
9
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
3
3
3
1
3
1
1
1
5
1
31
1
1
1
1
1
1
1
3
1
5
1
1
1
1
5
3
7
1
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
11
1
5
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
14
1
1
1
5
1
1
1
1
1
1
1
5
10
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
3
1
1
2
1
3
3
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
5
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
7
1
1
1
1
1
1
1
1
5
1
19
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
33
1
1
1
1
1
1
1
1
1
3
1
3
3
26
1
4
1
1
1
3
1
3
5
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
7
3
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
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
14
1
4
1
1
7
1
1
1
1
1
1
1
1
1
3
3
8
1
1
1
1
1
1
1
3
1
9
1
3
1
1
1
2
1
14
1
3
1
1
1
1
1
6
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
12
3
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
44
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
11
1
1
2
1
1
1
1
1
3
1
14
4
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
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
7
1
1
1
2
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
20
1
3
1
1
1
1
1
4
1
1
1
1
3
1
1
3
1
456
1
6
3
3
1
1
1
1
3
7
1
11
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
186
3
1
1
1
1
24
2
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
4
3
1
1
1
3
1
1
1
1
1
1
5
1
4
5
1
1
1
1
3
1
1
7
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
4
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
5
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
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
3
2
1
4
1
1
8
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
8
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
6
1
1
1
267
1
1
9
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
12
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
25
5
1
1
1
1
1
1
1
1
1
1
1
10
3
1
1
3
1
1
1
11
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
5
1
3
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
11
3
3
1
1
3
1
1
1
25
1
1
1
1
3
1
1
1
3
1
9
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
5
1
1
1
1
1
1
1
3
7
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
48
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
5
1
1
1
9
1
1
3
1
6
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
3
1
3
3
3
1
1
1
1
3
3
1
3
5
1
1
1
1
1
5
1
3
1
6
1
1
1
1
1
3
3
3
1
1
1
3
1
1
1
8
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
12
5
1
5
1
3
1
1
1
1
3
1
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
11
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
4
1
3
3
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
23
1
3
10
1
1
1
10
1
1
1
1
1
4
1
1
6
1
1
6
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
3
1
1
1
1
1
5
1
1
27
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
208
1
1
1
1
1
1
1
6
1
1
1
1
1
1
7
1
1
1
1
1
1
3
3
12
1
1
1
1
1
5
1
1
1
1
1
9
1
5
1
4
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
72
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
12
1
1
1
14
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
2
1
1
1
8
1
1
3
1
5
1
3
1
1
1
1
3
1
3
8
1
1
3
1
1
3
1
1
1
3
22
1
1
1
1
1
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
49
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
5
1
1
1
9
1
1
1
1
1
3
1
1
1
1
1
1
1
7
8
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
3
1
1
1
4
1
17
4
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
37
1
1
1
5
1
1
9
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
20
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
15
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
45
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
3
1
8
1
5
1
1
71
9
3
3
3
1
2
36
1
1
5
1
3
5
1
3
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
57
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
3
1
94
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
10
7
68
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
1
1
6
1
3
1
1
1
1
1
1
1
5
1
1
10
1
1
1
3
1
5
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
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
1
1
1
1
1
1
12
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
3
1
1
1
3
3
6
1
5
1
1
1
1
1
1
1
1
1
1
1
1
113
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
3
1
16
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
2
7
7
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
7
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
5
1
24
1
1
1
3
1
70
1
3
5
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
5
1
1
1
1
1
4
1
5
10
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
3
3
1
1
1
1
1
1
1
7
1
1
1
11
1
1
1
1
1
1
3
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
7
3
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
5
3
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
7
1
1
1
1
3
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
16
70
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
7
1
1
1
8
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
3
4
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
38
1
1
1
1
72
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
6
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
21
1
3
1
4
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
30
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
7
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
11
3
1
3
1
1
1
2
1
1
1
1
5
1
3
1
3
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
5
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
19
1
1
1
1
1
1
1
1
1
1
1
5
1
13
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
7
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
24
1
1
1
3
1
3
1
1
1
3
1
1
14
5
1
3
12
24
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
3
3
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
3
3
1
15
20
1
50
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
49
1
1
1
1
1
3
3
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
5
1
1
3
1
1
1
5
3
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
5
1
5
1
5
1
1
3
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
5
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
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
3
1
1
1
1
15
2
7
1
1
3
1
22
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
5
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
2
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
9
1
1
6
1
1
1
1
1
1
1
1
1
1
3
4
3
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
1
294
3
1
1
5
22
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
13
57
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
3
29
1
1
1
1
1
5
1
4
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
13
356
1
1
1
1
1
1
1
1
6
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
5
1
1
1
3
1
1
1
1
1
1
5
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
1
1
3
3
1
1
2
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
10
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
5
3
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
3
1
1
1
3
3
1
79
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
3
1
7
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
8
1
14
1
4
3
1
1
1
1
1
1
1
1
1
1
1
21
1
1
1
1
1
5
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
92
35
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
2
1
1
1
1
1
1
5
1
1
1
9
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
7
1
1
1
5
1
1
1
1
1
1
5
3
1
1
1
13
1
3
1
1
1
1
10
1
10
1
1
1
1
1
1
1
1
3
1
3
1
3
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
1
1
1
1
1
4
3
1
1
3
3
1
1
1
1
1
1
1
9
2
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
1
1
1
1
1
1
9
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
17
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
44
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
6
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
6
3
3
3
6
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
3
1
1
8
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
3
1
3
1
1
1
1
1
1
7
1
1
1
1
1
76
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
4
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
59
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
3
1
1
1
1
3
8
1
1
1
1
3
3
1
5
1
1
1
1
7
1
1
1
1
1
14
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
5
1
19
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
4
1
1
1
3
3
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
3
1
1
1
1
1
8
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
5
1
1
5
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
5
1
5
3
1
1
1
1
1
3
1
50
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
10
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
5
1
3
1
6
1
1
1
1
1
3
1
1
6
1
1
1
3
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
1
3
1
1
1
3
1
1
3
1
1
1
11
3
1
1
14
1
1
1
3
1
1
1
5
1
1
1
1
10
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
5
39
1
1
66
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
20
1
1
1
1
1
1
1
1
1
6
1
1
1
5
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
7
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
3
1
14
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
27
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
8
1
1
1
3
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
32
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
4
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
3
1
3
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
1
3
1
1
1
1
4
15
1
2
1
1
1
5
86
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
6
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
6
1
9
1
1
1
1
1
1
1
1
1
1
1
5
7
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
13
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
3
1
1
1
1
1
1
1
1
1
1
46
1
2
1
4
1
3
3
1
1
1
1
1
3
1
5
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
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
5
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
5
1
1
3
3
1
1
1
3
1
133
3
1
1
1
1
1
3
1
1
5
3
3
1
1
1
5
5
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
8
3
5
1
1
1
1
1
1
3
4
1
1
4
1
1
5
1
1
1
5
5
1
1
1
1
1
1
9
3
1
1
1
14
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
5
1
1
3
1
3
1
1
3
1
1
4
1
1
3
1
1
7
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
58
1
5
3
1
1
1
1
3
1
1
1
5
3
3
1
1
1
1
1
1
1
7
1
1
3
1
1
1
9
1
5
4
3
1
1
1
5
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
3
5
1
5
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
48
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
3
1
1
1
5
43
1
3
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
3
1
1
1
3
1
1
1
1
1
3
26
1
1
1
1
1
3
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
3
1
1
1
1
28
1
1
1
6
1
1
1
1
1
1
1
21
1
1
5
3
1
1
3
84
1
1
1
1
3
1
16
5
3
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
16
1
3
3
1
1
1
1
1
1
1
2
1
1
5
1
1
1
3
1
1
1
53
1
1
26
1
4
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
22
1
1
1
3
1
1
1
1
1
1
1
1
3
10
1
1
1
1
1
1
4
1
5
1
1
1
1
26
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
8
3
2
3
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
13
5
1
1
1
1
1
1
1
1
1
1
46
3
1
1
1
5
1
1
1
8
1
1
1
1
1
1
1
1
1
10
1
5
1
1
1
3
3
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
21
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
3
3
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
10
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
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
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
12
1
1
2
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
405
1
1
3
1
1
3
1
1
21
3
1
1
1
1
1
2
1
1
3
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
3
1
1
5
3
1
1
3
1
1
18
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
4
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
6
3
1
1
1
1
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
9
3
1
3
60
1
1
1
1
5
1
1
1
1
1
10
3
4
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
4
1
3
1
1
1
3
3
1
1
1
1
1
1
4
1
1
3
1
1
1
1
4
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
6
1
3
5
1
1
1
6
4
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
7
10
5
1
1
1
1
1
1
1
1
1
1
1
1
1
18
3
1
1
1
1
5
3
3
1
3
1
1
1
1
1
3
9
3
1
6
1
1
1
1
1
1
1
4
1
3
3
1
13
1
1
3
1
1
1
1
1
1
3
1
30
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
19
1
1
1
3
3
1
1
1
1
1
9
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
14
1
1
1
1
1
1
1
3
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
3
1
1
3
9
1
1
1
1
1
1
5
3
1
1
10
1
1
3
1
3
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
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
20
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
24
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
3
1
1
1
1
1
1
1
22
1
1
1
1
1
7
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
17
1
1
1
3
1
1
1
1
1
1
32
1
1
1
3
5
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
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
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
1
2
3
1
5
1
1
1
1
10
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
3
1
3
4
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
5
1
1
1
1
1
1
1
7
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
7
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
6
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
5
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
3
3
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
4
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
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
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
5
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
1
3
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
13
4
1
1
1
1
1
5
4
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
6
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
16
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
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
5
5
3
1
1
1
3
1
1
1
1
1
1
1
3
3
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
25
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
3
4
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
113
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
219
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
7
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
79
1
1
5
1
292
5
1
1
1
1
1
1
3
1
1
1
3
4
1
1
3
3
1
1
1
1
1
1
1
19
1
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
15
4
1
1
1
3
1
1
4
1
1
1
3
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
4
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
3
1
1
1
1
1
3
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
5
1
1
1
1
1
1
2
1
1
282
1
1
1
1
1
4
1
1
1
96
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
161
3
3
1
7
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
28
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
22
1
1
1
1
1
3
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
4
11
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
5
3
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
4
1
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
5
7
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
5
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
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
14
5
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
5
1
5
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
2
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
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
36
1
1
1
3
3
1
1
1
1
4
1
1
1
1
3
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
3
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
3
8
1
1
1
1
3
5
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
6
3
1
3
1
3
1
1
50
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
6
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
1
3
1
3
1
16
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
7
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
16
1
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
1
1
1
1
7
1
1
1
1
1
1
3
3
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
7
1
1
8
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
9
1
1
1
1
1
1
1
1
1
27
5
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
4
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
18
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
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
3
1
1
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
1
3
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
1
5
1
3
1
1
1
1
1
1
1
3
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
5
26
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
300
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
223
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
8
1
3
1
6
6
1
1
1
1
1
1
5
1
7
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
3
1
1
3
1
1
1
1
3
1
1
11
1
1
1
1
1
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
3
15
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
12
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
6
3
1
1
1
3
1
1
1
1
1
1
1
1
8
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
230
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
7
3
1
1
1
1
1
1
3
3
1
1
1
1
1
4
1
3
1
1
1
1
3
1
1
16
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
7
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
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
7
5
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
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
4
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
62
1
1
1
1
1
3
1
1
1
1
1
1
1
11
1
1
6
3
1
3
1
1
11
10
1
1
1
1
6
3
1
1
1
2
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
16
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
3
3
1
1
3
1
1
1
1
1
252
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
122
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
59
1
1
1
1
4
1
20
5
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
9
1
1
1
1
1
1
1
11
1
1
5
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
3
4
1
1
1
1
1
7
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
1
1
1
1
1
1
1
6
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
6
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
5
1
1
1
1
3
3
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
4
1
1
4
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
6
1
5
1
326
1
3
1
5
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
6
1
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
5
3
1
1
2
5
1
1
1
1
23
1
12
1
1
3
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
4
1
1
1
1
1
1
8
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
3
1
1
3
1
3
3
3
1
1
5
1
3
1
1
1
1
5
3
1
3
1
1
1
3
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
7
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
3
1
1
1
1
1
3
33
5
1
1
1
1
1
1
6
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
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
2
3
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
7
1
1
21
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
3
3
1
1
1
1
1
1
3
1
3
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
36
1
1
1
1
14
1
3
1
1
1
4
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
4
5
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
3
1
1
4
3
1
3
1
1
1
1
1
1
3
7
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
606
3
9
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
1
3
1
1
1
3
1
1
8
5
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
9
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
112
1
1
1
1
1
1
3
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
1
9
1
1
1
3
1
1
1
3
3
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
18
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
14
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
5
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
34
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
76
1
5
1
1
1
3
6
1
1
1
1
1
1
3
1
1
1
1
3
3
16
1
1
1
1
1
1
1
1
1
1
1
3
1
27
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
4
3
318
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
60
1
1
5
1
1
1
1
11
1
1
1
3
45
3
1
1
5
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
2
1
1
1
20
3
1
1
1
8
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
5
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
64
1
1
3
1
1
1
1
1
1
1
1
1
1
22
1
1
7
1
1
5
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
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
8
1
1
1
3
1
1
3
1
4
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
7
1
16
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
8
1
1
1
1
2
3
1
1
1
2
1
3
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
5
3
1
5
3
5
1
1
1
1
1
1
6
6
1
1
1
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
5
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
25
7
3
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
3
1
8
3
1
1
1
3
1
1
1
3
3
1
1
3
10
2
1
1
1
1
3
1
1
1
40
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
46
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
4
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
7
19
1
1
19
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
9
1
3
1
1
1
3
14
1
1
1
1
1
1
1
1
1
1
3
1
1
13
1
10
3
1
1
1
18
1
3
1
1
1
1
1
6
3
1
7
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
18
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
11
1
3
3
1
3
1
1
1
1
1
1
5
19
3
1
1
40
1
1
1
1
1
5
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
14
1
1
1
1
1
1
1
1
1
67
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
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
3
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
10
1
10
1
1
1
1
1
1
1
2
15
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
32
1
3
1
1
3
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
12
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
4
1
1
1
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
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
18
1
1
7
1
3
1
1
7
1
1
1
1
11
9
3
1
1
1
1
1
1
4
1
3
3
1
1
1
2
1
1
1
1
1
1
1
20
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
5
1
5
3
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
9
1
3
1
8
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
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
3
1
1
11
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
24
1
1
7
1
1
1
1
1
48
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
288
4
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
1
1
1
1
1
1
5
1
1
1
1
1
1
57
1
3
1
5
3
1
4
1
1
1
1
1
1
1
24
1
1
1
37
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
4
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
16
1
1
1
1
1
1
1
1
1
1
1
1
5
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
12
1
1
3
7
1
1
1
1
6
4
1
1
3
1
1
3
1
1
1
1
1
1
15
3
3
4
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
2
8
1
3
3
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
8
1
1
5
1
1
1
3
3
1
5
2
12
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
7
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
1
1
6
1
1
5
1
8
1
1
1
1
1
1
3
3
3
3
1
1
1
1
1
5
1
9
1
11
5
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
7
1
1
5
1
3
1
1
1
5
1
1
1
1
11
5
1
16
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
1
3
1
1
3
8
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
9
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
12
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
5
3
1
1
3
1
5
1
2
1
5
1
1
3
1
1
1
1
1
1
1
3
5
1
1
3
4
3
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
3
1
1
1
4
5
1
1
1
1
1
1
1
1
1
8
1
1
3
1
9
3
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
43
1
1
3
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
3
1
1
1
1
1
3
1
1
1
1
3
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
5
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
184
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
10
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
2
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
93
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
3
3
1
3
3
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
3
1
1
1
1
4
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
5
1
1
1
4
5
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
8
3
5
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
27
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
3
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
3
1
1
1
1
1
1
8
1
1
1
1
1
5
122
23
1
11
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
4
1
1
1
1
1
1
1
1
1
3
5
1
15
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
14
5
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
3
3
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
3
1
1
8
1
1
1
1
1
1
3
3
1
5
1
1
9
1
1
1
1
3
1
1
1
8
1
1
1
3
1
1
1
1
1
1
3
11
1
3
14
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
15
1
1
24
1
1
7
1
1
5
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
11
1
1
5
5
1
5
1
1
28
3
1
1
1
1
1
1
1
1
1
12
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
5
3
13
3
1
1
1
1
1
4
1
1
1
15
1
1
1
3
1
1
1
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
1
1
1
1
30
1
6
3
1
1
7
1
1
1
6
1
1
1
5
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
3
4
3
3
1
3
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
2
1
1
1
1
6
1
3
1
1
1
3
1
7
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
4
1
1
1
3
1
6
1
1
1
1
1
3
1
1
7
1
3
3
1
1
1
1
3
1
1
5
1
1
1
1
1
12
1
1
3
1
1
1
1
1
1
7
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
4
2
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
3
8
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
3
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
4
3
1
1
1
1
1
1
3
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
3
1
1
5
1
23
1
1
1
10
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
29
2
3
1
1
1
3
2
1
1
1
1
12
1
1
1
3
1
1
1
1
1
1
12
1
3
1
1
1
1
1
1
1
1
3
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
9
1
1
1
1
5
1
1
1
1
8
3
3
1
1
3
1
1
1
1
8
1
1
1
1
1
2
1
34
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1
36
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
1
1
1
2
1
6
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
22
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
191
3
1
1
1
1
1
3
6
7
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
1
4
1
6
1
1
1
4
1
3
1
47
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
22
5
1
4
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
1
8
1
1
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
3
1
17
1
6
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
5
1
5
1
1
1
1
1
1
7
1
1
1
1
1
1
1
86
1
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
13
1
1
3
1
3
1
1
7
1
1
1
1
1
1
1
3
5
1
4
1
3
16
1
1
1
1
1
1
1
3
3
3
1
1
2
1
1
1
1
1
3
1
1
1
1
3
3
3
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
177
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
44
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
32
1
8
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
3
1
3
3
1
3
3
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
3
1
1
10
49
4
3
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
3
1
6
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
10
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
13
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
1
5
1
4
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
66
1
1
1
1
1
1
1
60
1
1
1
1
3
1
3
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
32
1
3
5
1
1
7
1
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
3
5
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
3
3
1
1
1
1
1
1
4
5
16
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
5
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
5
1
1
1
3
1
1
1
1
7
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
3
1
1
7
1
3
1
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
1
3
1
8
1
1
1
1
5
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
9
1
1
1
1
1
1
3
3
1
6
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
5
8
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
3
1
1
1
8
1
3
1
1
1
1
5
1
1
1
1
1
1
1
13
1
3
1
1
1
3
1
5
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
1
1
1
3
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
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
3
3
1
16
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
33
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
5
1
1
1
4
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
5
105
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
3
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
4
3
3
1
1
1
5
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
33
1
5
1
1
1
1
1
1
1
1
1
1
1
4
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
5
1
3
5
1
4
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
1
2
1
1
3
4
1
1
1
1
8
1
1
1
1
1
3
3
1
5
1
3
1
1
1
3
3
1
1
1
28
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
2
1
1
1
11
1
1
1
1
5
1
5
1
2
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
3
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
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
5
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
846
4
1
1
1
1
2
4
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
4
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
5
1
3
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
6
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
4
1
1
1
3
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
3
1
1
1
20
1
1
1
3
1
3
1
7
3
1
4
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
9
1
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
25
7
1
1
1
1
1
1
1
10
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
24
1
1
1
1
5
1
1
1
1
13
1
1
1
3
1
30
1
12
3
1
1
1
1
1
1
7
1
1
3
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
1
1
5
1
7
5
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
6
1
5
1
1
1
3
1
1
2
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
7
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
5
1
1
1
1
1
1
1
1
5
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
12
1
1
1
1
1
1
1
1
44
1
4
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
3
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
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
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
9
1
1
1
1
1
1
10
3
1
1
1
1
3
4
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
3
1
1
1
1
1
3
1
16
1
1
1
1
3
1
1
3
1
15
1
1
1
1
8
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
1
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
337
1
1
1
1
1
7
1
1
1
1
3
1
4
1
1
1
3
1
1
7
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
3
3
3
1
1
1
4
1
1
1
3
61
3
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
6
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
16
1
1
5
1
1
5
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
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
3
3
1
1
1
3
1
1
1
18
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
5
3
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
3
5
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
5
1
1
1
1
1
6
6
1
3
3
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
54
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
9
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
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
4
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
12
1
1
1
1
1
16
1
3
1
3
1
1
2
1
1
5
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
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
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
10
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
3
3
1
1
1
22
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
7
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
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
67
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
6
1
1
1
9
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
11
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
3
1
1
1
3
1
1
15
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
14
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
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
2
1
3
1
1
1
8
1
1
3
1
1
3
1
1
1
3
3
1
1
3
1
1
3
1
1
3
1
1
1
3
107
3
3
1
1
1
1
1
1
1
3
1
3
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
18
1
1
1
1
5
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
48
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
8
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
1
1
1
3
5
1
1
5
1
1
1
1
4
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
44
1
1
1
1
1
1
3
6
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
6
1
1
1
1
1
1
1
1
8
5
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
4
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
3
1
1
1
9
1
1
1
3
1
3
1
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
11
3
1
1
3
7
5
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
1
1
3
2
1
1
1
1
1
1
2
1
1
1
8
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
8
1
1
1
1
1
3
1
1
6
24
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
3
1
9
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
7
1
1
1
3
1
1
5
1
1
1
1
1
9
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
15
1
1
1
3
1
1
1
1
350
1
4
1
1
1
1
1
3
3
3
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
15
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
1
16
1
1
1
3
3
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
3
1
4
3
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
22
1
3
1
1
1
1
1
1
1
1
1
3
1
78
1
1
1
1
1
1
1
1
6
1
6
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
16
1
1
3
1
1
1
1
1
1
1
3
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
5
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
8
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
7
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
7
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
3
1
1
1
19
3
1
7
1
1
3
1
1
1
1
1
1
1
1
1
4
5
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
3
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
18
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
5
1
1
3
3
1
3
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
5
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
12
1
1
9
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
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
7
1
3
1
5
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
3
1
1
8
1
1
3
2
5
1
5
1
1
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
17
3
1
1
1
1
2
1
3
1
6
3
1
5
3
1
1
13
3
1
1
1
1
1
3
7
1
1
3
3
1
1
5
1
1
1
20
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
6
1
1
1
1
1
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
1
1
3
2
3
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
10
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
9
7
1
3
1
1
1
3
1
1
1
3
3
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
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
8
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
14
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
173
1
3
1
1
1
1
1
1
1
1
1
1
11
1
1
1
16
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
25
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
9
1
1
1
1
1
1
1
5
1
1
4
1
1
39
1
1
1
3
1
3
1
1
1
2
1
1
1
1
3
3
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
1
18
1
1
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
4
1
1
69
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
3
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
3
1
1
1
1
1
1
3
3
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
9
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
3
1
1
4
1
1
1
5
1
7
60
1
1
1
1
1
1
1
1
5
1
5
1
1
4
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
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
3
1
8
1
2
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
74
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
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
2
1
9
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
6
1
1
1
1
1
1
3
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
9
1
7
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
432
1
1
1
3
1
1
1
2
1
19
3
1
5
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
5
1
1
1
1
3
1
1
1
3
1
3
1
1
3
3
3
1
1
3
1
3
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
5
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
16
4
1
5
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
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
4
1
1
1
1
1
11
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
6
1
1
4
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
10
1
1
1
1
4
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
5
1
1
5
1
1
1
1
1
1
1
472
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
5
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
3
1
1
1
3
1
1
1
1
3
3
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
119
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
3
4
3
1
5
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
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
4
1
1
3
3
1
3
1
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
51
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
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
16
1
1
415
1
1
1
1
1
1
1
1
1
1
1
1
1
9
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
5
3
1
1
5
6
1
3
1
3
1
1
4
1
17
1
1
1
3
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
35
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
11
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
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
3
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
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
6
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
5
1
1
3
1
1
5
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
5
1
1
1
1
5
1
1
1
7
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
11
1
3
1
3
3
3
1
1
3
3
1
1
1
13
1
4
1
1
1
3
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
5
1
1
4
1
1
118
1
1
1
3
1
1
5
1
3
1
1
7
1
1
1
1
1
1
7
3
1
21
1
9
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
3
1
1
1
3
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
11
1
1
3
1
1
3
1
1
1
1
1
1
5
7
1
1
1
5
1
1
1
3
1
1
1
1
10
3
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
430
1
1
1
1
1
3
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
26
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5473
1
19
1
3
1
1
2
1
1
1
1
5
1
7
7
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
20
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
1
1
5
1
1
1
1
1
1
5
1
1
5
1
1
5
1
1
3
1
1
1
1
1
1
4
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
3
1
1
3
1
1
1
3
1
1
1
1
5
1
8
1
1
1
1
1
1
3
1
1
1
3
3
3
7
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
14
1
1
1
8
1
1
1
1
1
5
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
6
1
1
1
1
1
6
1
1
6
1
1
5
5
1
1
5
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
34
3
1
1
1
1
1
1
1
1
1
1
1
15
3
1
1
1
3
1
1
1
1
1
3
4
1
1
3
1
1
1
3
1
9
1
1
1
2
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
46
1
1
1
1
1
1
1
1
1
1
6
1
9
1
1
1
1
1
3
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
3
1
1
2
1
1
1
1
1
1
14
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
38
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
22
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
3
1
9
1
1
1
3
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
5
1
1
1
1
1
3
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
3
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
3
7
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
21
1
1
1
1
1
1
1
3
1
1
3
1
1
9
1
1
1
1
1
1
3
191
3
1
1
32
1
3
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
1
1
4
1
1
1
1
5
1
1
1
1
1
3
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
34
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
7
1
1
1
1
1
4
1
1
12
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
5
754
5
1
1
1
1
2
1
1
1
1
1
1
13
1
3
1
1
1
1
1
3
5
1
3
1
1
5
3
1
1
1
3
1
5
1
1
5
1
4
1
1
6
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
1
3
3
1
1
1
3
3
1
3
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
3
1
1
1
1
1
5
3
3
29
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
22
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
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
5
1
1
1
3
1
5
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
51
1
1
3
1
1
1
5
1
1
1
5
14
5
5
1
1
4
1
3
1
1
5
1
6
1
1
1
5
1
1
1
10
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
5
1
1
3
1
3
3
1
3
3
34
1
10
1
3
1
1
1
3
1
1
3
6
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
3
1
1
146
1
1
1
1
1
1
12
18
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
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
6
1
1
1
1
92
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
17
1
1
3
3
3
3
1
1
1
1
18
1
1
3
1
1
1
7
1
3
1
1
1
1
1
1
1
1
3
2
1
3
3
1
1
1
1
1
1
1
9
1
4
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
15
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
426
1
17
1
1
3
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
24
1
1
1
3
1
1
2
1
1
1
5
1
3
1
3
1
3
1
1
1
1
3
1
1
1
8
1
3
3
1
1
1
3
5
1
4
1
1
1
1
1
1
1
1
1
1
5
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
5
1
1
3
10
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
7
3
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
4
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
5
1
1
1
1
1
3
1
20
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
72
1
3
5
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
9
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
103
1
1
1
5
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
4
1
1
1
1
1
1
1
1
13
3
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
6
30
1
1
1
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
35
1
1
1
1
3
1
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
6
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
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
5
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
5
1
1
1
1
1
1
5
8
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
16
1
26
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
5
3
1
1
1
1
1
1
206
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
3
1
3
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
7
3
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
9
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
3
1
1
1
1
1
4
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
15
1
4
1
1
1
1
1
3
1
2
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
5
1
1
1
1
1
1
1
1
1
1
1
4
1
21
1
4
3
3
1
1
1
1
1
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
57
1
1
3
9
1
1
1
1
1
3
1
1
1
1
1
3
75
1
1
1
1
1
4
1
3
5
1
1
34
4
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
3
1
1
54
1
3
3
1
3
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
23
1
1
1
10
1
1
4
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
12
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
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
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
1
1
1
1
1
1
3
4
5
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
23
13
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
3
1
1
3
1
1
3
5
5
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
77
3
3
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
11
1
1
1
3
1
1
1
7
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
5
5
1
1
1
1
1
59
1
1
5
1
1
1
1
1
1
6
1
1
3
1
3
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
5
2
1
2
1
5
1
1
1
1
3
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
5
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
14
1
23
1
1
1
1
1
1
1
9
1
1
1
1
1
3
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
12
1
3
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
7
1
1
12
1
1
1
5
1
1
1
1
1
1
1
6
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1568
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
5
3
1
1
1
1
1
1
1
1
457
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
8
1
1
1
1
3
1
1
3
1
3
5
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
9
1
3
1
1
4
1
1
1
1
7
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
7
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
3
1
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
3
1
10
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
15
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
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
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
24
5
1
1
1
1
3
7
1
1
1
1
1
2
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
32
1
3
1
3
1
1
1
1
1
8
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
6
3
1
1
3
1
4
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
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
7
1
1
3
1
1
1
1
3
1
1
1
3
1
3
3
12
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
6
1
1
1
13
5
1
1
1
1
1
1
1
3
1
1
3
1
4
1
37
3
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
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
7
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
5
1
1
3
5
1
18
1
1
7
3
1
1
1
1
1
1
1
2
1
1
1
3
1
1
22
1
1
3
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
79
1
3
3
1
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
3
1
1
1
7
1
1
1
1
1
1
1
1
3
8
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
12
1
3
1
3
1
1
1
3
3
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
5
26
1
1
3
1
3
1
1
1
3
1
1
1
3
1
1
1
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
8
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
16
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
16
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
6
1
1
1
1
41
1
1
1
1
1
1
4
1
1
5
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
9
1
1
2
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
22
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
1
1
4
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
3
3
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
13
1
1
1
1
3
1
8
1
1
4
1
1
1
3
5
1
5
1
2
3
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
7
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
3
1
1
1
23
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
3
1
1
3
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1022
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
5
1
1
1
3
3
1
1
3
3
1
1
1
1
1
6
1
1
1
27
1
1
1
1
1
3
1
3
1
1
3
1
50
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
8
3
1
1
3
1
1
1
1
1
1
4
1
7
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
8
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
4
4
1
1
1
1
1
3
2
32
1
1
1
7
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
3
1
1
392
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
10
1
1
1
3
1
1
3
3
1
1
5
5
1
3
8
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
4
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
33
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
5
1
1
1
3
1
1
1
1
3
5
1
1
1
1
3
1
1
18
1
1
1
1
1
1
1
3
3
3
1
5
1
1
1
64
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
20
1
1
1
12
1
1
1
3
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
9
3
1
1
1
1
3
1
1
1
1
1
1
1
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
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
12
1
2
1
6
1
1
1
9
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
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
16
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
5
1
1
1
3
3
3
1
1
1
6
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
13
3
3
3
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
4
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
7
1
5
4
1
1
1
1
1
3
1
5
1
1
1
3
1
3
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
7
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
3
1
1
1
4
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
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
7
1
6
1
1
3
1
1
1
5
1
3
1
5
3
1
1
1
1
1
1
1
1
5
22
1
1
1
1
2
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
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
125
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
7
1
3
1
1
6
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
3
1
6
1
18
1
1
1
1
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
15
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
340
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
3
1
1
1
3
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
5
1
1
5
1
1
1
7
1
3
1
3
1
1
1
1
1
3
1
1
1
1
3
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
3
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
8
1
1
1
1
3
1
5
1
1
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
1
1
1
1
1
1
1
1
3
3
3
1
1
4
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
5
3
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
7
3
3
1
1
1
1
1
1
1
1
1
30
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
4
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
2
307
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
5
5
9
4
7
1
1
1
12
5
1
5
1
1
1
174
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
22
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
3
5
4
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
278
3
1
1
1
1
1
1
2
1
3
1
3
1
1
5
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
15
5
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
5
15
1
1
1
1
1
1
1
1
1
1
1
3
1
1
6
3
1
3
1
1
1
23
1
1
1
1
3
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
9
9
3
1
1
1
3
2
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
3
3
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
12
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
17
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
1
1
1
44
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
3
3
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
130
1
1
1
1
3
3
1
1
1
4
1
1
1
1
1
17
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
6
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
3
1
3
9
3
4
3
1
1
1
3
7
1
1
1
1
13
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
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
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
28
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
3
3
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
16
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
3
1
1
2
12
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
3
1
1
1
1
1
1
1
4
6
1
5
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
2
1
7
7
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
1
1
1
3
3
3
3
5
1
3
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
4
1
1
1
3
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
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
3
3
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
8
3
1
1
3
1
1
1
3
1
1
1
1
1
12
1
1
3
1
3
1
1
3
5
5
1
3
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
1
1
1
1
13
1
1
1
1
3
1
15
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
1
16
1
1
1
1
1
1
1
3
6
3
1
1
1
1
1
1
1
1
231
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
4
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
3
51
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
2
3
1
1
231
1
1
1
1
5
1
1
1
1
2
1
1
1
1
3
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
4
1
1
1
1
18
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
1
3
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
3
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
3
3
15
40
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
3
1
1
1
1
5
3
1
4
3
1
3
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
3
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
3
3
1
1
3
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
3
1
5
5
3
1
1
1
4
1
1
1
1
1
3
7
1
5
1
1
2
1
1
1
1
3
5
266
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
8
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
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
34
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
4
1
1
1
1
1
1
1
3
1
905
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
19
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
2
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
206
3
1
1
100
5
1
1
1
5
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
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
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
38
1
1
4
30
1
1
1
4
1
1
1
1
32
1
1
1
1
5
3
7
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
6
1
5
1
1
1
1
1
1
3
9
1
1
1
5
7
1
1
1
3
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
1
1
1
1
3
1
1
1
1
1
4
3
3
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
3
3
1
1
3
1
1
14
1
5
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
5
1
1
16
1
1
20
8
1
1
1
1
1
1
1
34
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
8
1
1
3
3
1
1
1
1
1
1
1
1
3
1
8
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
3
7
3
3
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
3
1
3
1
1
1
1
2
4
3
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
7
1
7
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
19
1
1
3
1
1
3
1
1
1
1
3
1
1
3
5
1
3
1
1
1
16
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
1
11
5
1
1
1
5
13
3
1
1
1
1
10
1
10
1
1
1
1
1
1
15
1
3
1
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
5
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1690
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
8
1
1
1
3
1
1
5
2
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
3
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
4
14
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
10
1
1
1
1
1
1
1
1
25
1
1
1
1
1
1
1
3
9
3
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
30
1
3
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
6
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
5
9
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
4
1
1
1
3
1
1
1
5
1
1
1
7
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
10
8
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
5
1
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
9
3
7
1
1
1
1
3
1
1
1
1
1
1
3
1
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
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
5
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
3
1
1
2
9
1
4
1
1
1
1
1
1
1
1
1
1
2
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
7
1
3
1
1
4
1
1
1
1
1
1
5
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
9
1
1
1
10
1
1
1
1
3
1
31
1
5
1
1
3
1
19
1
4
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
5
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
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
17
1
1
3
1
5
1
5
1
1
1
2
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
1
5
2
4
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
3
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
4
1
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
3
1
1
3
1
1
1
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
3
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
13
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
3
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
3
1
3
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
5
1
5
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
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
1
1
1
8
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
5
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
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
5
1
1
1
19
1
1
5
1
1
1
3
1
1
1
2
3
4
1
3
1
7
1
3
1
2
1
5
5
1
1
1
1
3
1
1
7
1
3
1
7
1
1
1
1
33
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
12
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
10
1
1
1
3
1
200
1
7
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
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
5
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
3
3
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
16
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
3
47
1
1
1
3
1
3
1
1
1
1
1
1
4
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
7
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
2
1
1
3
3
1
3
3
1
1
1
12
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
3
5
1
1
1
1
5
3
1
1
1
1
3
1
1
3
6
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
19
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
5
5
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
4
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
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
3
3
1
1
18
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
41
1
1
1
1
5
1
1
49
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
10
130
3
1
1
1
1
1
1
10
1
24
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
63
1
1
1
1
1
3
3
3
1
1
3
1
1
1
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
1
3
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
194
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
7
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
7
5
1
1
1
1
44
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
5
1
3
5
1
1
3
1
1
1
1
1
1
1
3
1
1
6
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
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
13
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
4
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
13
3
3
1
1
1
2
3
1
1
1
3
1
1
1
57
1
1
3
1
1
1
3
3
7
1
4
1
3
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
3
1
2
38
1
1
1
1
1
1
1
1
1
1
1
4
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
4
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
1
3
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
54
3
1
1
1
3
3
3
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
8
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
3
3
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
14
1
1
7
3
1
1
1
1
1
1
1
1
1
1
3
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
5
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
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
3
3
3
1
1
1
1
1
13
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
1
5
44
1
1
1
1
1
6
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
5
1
1
1
5
1
3
1
1
2
1
1
1
1
1
3
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
3
1
4
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
104
5
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
272
1
1
1
1
1
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
8
1
1
1
1
1
1
1
22
1
1
1
3
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
5
3
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
2
1
1
1
1
1
1
106
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
10
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
4
1
3
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
154
1
1
1
1
5
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
3
3
1
3
1
3
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
7
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
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
4
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
1
1
5
3
1
5
1
1
3
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
11
1
1
3
5
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
7
1
10
1
1
1
5
3
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
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
4
1
1
1
5
1
30
1
1
1
1
1
1
3
1
5
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
1
1
1
3
25
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
124
3
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
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
4
5
5
1
1
1
1
1
1
1
1
5
4
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
8
3
1
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
7
1
1
15
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
9
1
5
1
1
3
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
3
1
1
1
3
1
5
1
3
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
1
5
5
1
1
1
1
5
1
1
1
4
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
3
1
3
1
6
1
3
1
1
1
12
1
1
1
1
3
1
3
1
1
1
1
1
9
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
1
5
7
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
28
1
1
3
1
1
1
1
1
7
1
3
1
5
1
2
1
1
1
1
1
1
1
1
1
3
1
8
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
3
1
3
1
1
1
1
5
4
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
4
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
6
2
1
5
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
3
1
3
1
1
1
1
1
2
1
1
3
1
3
1
1
36
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
1
8
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
210
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
22
3
3
1
1
1
9
170
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
8
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
3
1
1
14
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
4
1
1
1
1
3
1
5
1
1
14
1
1
1
1
1
75
1
1
1
1
3
1
7
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
3
1
1
4
1
3
1
2
1
3
1
1
124
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
9
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
4
1
1
1
1
1
1
1
14
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
11
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
50
1
7
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
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
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
3
1
3
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
6
1
6
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
13
1
7
226
1
1
8
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
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
3
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
6
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
1
1
3
1
1
1
3
1
1
1
1
1
3
36
2
1
1
1
1
3
1
3
1
3
3
1
1
1
1
1
1
3
1
3
1
1
3
1
1
6
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
492
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
5
7
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
5
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
57
1
1
7
1
1
1
1
1
1
1
1
1
1
3
12
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
8
9
1
1
1
1
1
1
1
1
1
38
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
3
3
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
3
1
1
3
1
5
3
1
1
1
1
31
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
4
1
3
1
1
1
13
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
1
18
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
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
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
7
4
23
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
8
3
3
1
1
3
1
1
6
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
3
1
5
1
1
1
4
1
1
1
1
5
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
3
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
7
1
5
1
1
1
11
3
1
7
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
7
1
1
11
5
6
1
1
1
1
1
1
6
5
1
1
1
1
156
6
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
64
3
1
1
1
1
1
1
1
1
9
5
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
7
1
10
1
3
1
1
5
1
1
11
26
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
3
5
1
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
13
1
3
1
1
1
5
1
27
1
1
1
1
1
1
1
1
2
1
1
20
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
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
3
14
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
6
1
20
1
1
1
1
1
1
1
21
1
1
11
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
18
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
3
3
3
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
12
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
220
3
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
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
3
1
1
1
1
7
1
1
3
1
1
1
1
5
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
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
10
1
41
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
7
1
1
5
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
3
1
1
1
39
3
1
1
1
1
3
7
1
3
3
1
1
1
1
3
1
4
1
5
6
1
1
1
1
1
1
1
1
14
11
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
7
1
1
3
4
1
1
3
1
3
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
5
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
7
80
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
3
1
1
1
7
3
1
1
18
1
1
1
1
3
1
2
1
1
3
3
3
1
1
1
1
1
1
1
3
1
5
3
1
17
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
3
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
14
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
3
1
3
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
1
1
1
1
1
1
3
3
3
1
41
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
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
16
1
1
1
12
1
3
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
3
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
9
1
1
1
1
1
1
3
1
3
3
1
1
1
4
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
3
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
7
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
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
76
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
7
1
1
1
1
1
3
1
1
1
1
10
7
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
2
3
1
1
1
5
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
5
38
1
1
1
1
1
1
1
1
15
1
1
5
1
1
1
1
1
1
1
7
3
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
6
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
48
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
5
1
1
1
5
1
1
1
14
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
35
1
3
1
1
1
1
1
15
1
1
6
1
1
1
3
7
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
5
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
3
1
1
1
1
1
1
1
1
11
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
7
1
1
1
1
3
1
1
1
1
1
3
3
1
1
14
1
1
1
1
1
1
9
1
3
1
3
1
1
1
1
1
3
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
5
1
3
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
4
1
1
1
5
3
1
1
1
1
1
1
1
1
192
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
4
21
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
2
3
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
60
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
4
1
1
1
1
1
1
1
1
9
1
3
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
8
1
3
1
80
9
1
1
1
1
1
1
3
1
6
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
3
3
1
1
74
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
6
1
1
3
1
1
1
1
1
5
1
2
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
21
54
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
9
1
3
1
1
1
20
1
1
1
62
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
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
38
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
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
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
4
9
1
1
1
3
1
3
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
6
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
3
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
161
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
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
1
3
15
1
1
5
3
3
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
46
3
1
3
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
8
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
25
1
1
1
1
1
5
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
7
62
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
72
1
1
3
1
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
7
1
1
9
1
1
3
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
3
6
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
21
1
1
1
1
1
3
1
1
1
1
5
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
3
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
33
1
4
1
1
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
2
1
3
1
1
1
3
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
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
5
1
3
5
1
1
1
5
1
1
1
1
5
1
7
1
1
1
1
1
46
1
1
6
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
10
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
8
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
4
147
1
1
27
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
5
3
1
3
1
1
1
1
1
1
1
20
3
3
1
1
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
3
1
132
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
5
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
5
5
1
3
1
1
5
1
1
1
1
1
1
3
1
1
5
5
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
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
1
1
1
1
3
8
1
1
1
1
1
3
5
3
1
68
1
1
3
1
1
1
1
1
3
1
3
1
1
1
12
1
5
1
1
3
1
3
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
19
1
1
1
1
1
1
1
2
1
1
1
1
17
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
5
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
8
1
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
50
1
1
1
1
1
1
3
1
1
766
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
4
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
3
21
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
23
1
1
3
1
3
1
1
1
3
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
136
1
4
1
5
1
1
5
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
5
5
1
1
1
7
1
1
1
1
1
3
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
6
1
1
3
7
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
11
1
1
1
1
1
1
1
3
1
10
1
1
1
1
1
1
1
3
1
1
1
1
1
61
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
16
3
1
1
1
1
1
1
1
9
5
1
1
1
1
1
1
3
11
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
6
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
1
1
1
1
5
3
3
3
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
392
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
11
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
19
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
23
3
1
1
1
1
1
1
4
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
21
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
3
1
9
1
1
1
1
5
1
3
1
1
1
1
1
7
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
5
1
4
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
3
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
4
1
13
1
1
1
1
5
1
3
1
3
1
1
6
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
9
1
1
5
1
3
1
1
1
1
1
1
1
1
12
4
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
74
1
3
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
10
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
11
3
1
3
1
1
1
1
3
1
2
1
1
1
1
1
3
3
2
1
5
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
31
1
1
1
7
1
1
1
1
1
3
1
3
10
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
5
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
23
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
6
5
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
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
5
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
7
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
3
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
8
1
7
1
1
3
1
1
1
1
1
5
1
1
1
1
2
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
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
6
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
11
1
3
7
1
5
1
1
1
1
27
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
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
1
2
1
6
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
3
1
3
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
3
3
3
1
1
1
7
4
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
1
1
74
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
26
1
4
10
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
30
1
1
1
1
1
3
4
7
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
8
1
1
1
1
1
1
24
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
23
1
1
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
11
1
2
1
5
3
1
3
4
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
3
1
1
1
1
60
1
1
1
1
3
1
3
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
23
1
1
9
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
3
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
8
3
3
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
33
1
1
3
1
1
1
1
5
3
1
1
1
1
1
5
1
1
1
1
3
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
10
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
8
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
3
1
1
1
3
6
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
3
1
7
1
1
6
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
16
1
1
1
9
14
3
20
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
7
3
5
1
1
1
3
5
1
15
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
3
5
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
3
1
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
596
6
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
9
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
300
7
1
5
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
5
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
16
3
10
1
3
1
5
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
1
3
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
1
1
1
1
1
1
4
5
1
1
3
1
1
5
1
1
5
1
1
1
5
5
1
1
1
1
1
3
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
22
1
1
1
3
3
1
1
5
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
9
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1178
4
1
1
3
1
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
15
1
1
1
1
5
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
5
1
8
1
1
5
1
1
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
7
3
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
5
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
3
1
3
1
1
1
1
1
1
1
3
22
1
1
1
28
1
1
11
1
3
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
21
1
1
8
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
3
3
1
1
1
1
1
34
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
3
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
2
1
1
1
1
1
3
1
1
1
5
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
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
2
1
1
5
3
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
503
1
1
3
1
11
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
3
1
1
1
25
1
1
1
1
1
1
1
1
1
20
1
1
1
1
3
1
1
1
1
1
1
1
4
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
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
45
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
4
30
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
12
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
1
1
1
3
3
1
1
3
1
3
8
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
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
22
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
6
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
12
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
7
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
5
1
1
1
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
3
1
3
1
1
30
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
70
3
3
1
1
3
1
1
1
1
1
9
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
6
7
5
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
6
1
1
1
1
1
44
3
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
3
1
1
1
1
1
1
3
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
3
1
1
40
1
1
1
1
1
1
1
1
7
1
1
1
3
2
3
1
1
3
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
61
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
3
7
1
5
1
1
1
2
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
4
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
7
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
1
1
1
1
1
12
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
3
1
1
7
1
1
1
3
1
1
1
3
1
1
1
5
1
1
3
3
1
1
3
1
9
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
22
1
1
7
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
3
34
1
1
3
1
1
13
3
1
1
1
1
1
21
1
1
1
1
1
1
3
5
21
1
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
4
4
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
9
5
1
1
1
1
1
1
1
1
18
1
1
1
5
3
1
3
1
1
3
2
1
1
1
1
1
1
7
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
10
1
1
1
1
3
1
1
1
1
1
1
3
1
14
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
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
3
1
1
1
5
3
8
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
9
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
5
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
22
1
1
1
1
5
1
1
1
1
1
1
1
1
1
8
8
1
1
1
1
2
1
3
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
3
1
1
4
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
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
21
1
17
2
3
1
1
1
1
1
4
1
1
10
1
1
3
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
7
1
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
38
1
1
140
1
1
1
3
1
2
3
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
3
1
12
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
2
9
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
5
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
1
1
5
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
3
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
3
1
3
1
1
6
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
17
1
5
3
1
1
3
3
1
1
1
1
1
1
1
3
3
1
4
14
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
23
3
3
1
3
1
12
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
78
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
6
422
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
7
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
42
1
1
1
1
3
3
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
3
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
1
16
5
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
5
5
1
1
5
1
1
1
1
1
4
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
1
2
3
1
1
1
1
1
5
1
1
56
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
3
3
5
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
18
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
4
1
4
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
3
6
1
1
3
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
11
3
1
1
1
5
1
1
1
1
47
2
1
1
7
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
9
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
12
1
3
1
1
1
1
8
1
3
1
1
1
1
11
3
1
1
1
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
11
38
1
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
3
1
1
1
7
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
8
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
3
1
1
3
3
1
1
3
1
1
1
1
6
1
1
1
1
3
1
3
1
1
3
3
1
1
5
1
1
1
1
1
5
13
1
1
6
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
4
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
6
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
13
3
3
1
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
12
3
3
1
1
1
1
1
1
1
3
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
5
3
1
1
1
3
19
14
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
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
6
3
1
1
1
1
1
1
77
1
1
1
1
1
1
1
3
1
1
3
1
9
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
48
1
1
1
1
3
3
3
1
1
1
3
1
1
1
1
1
3
3
15
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
13
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
3
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
3
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
2
5
4
1
1
15
1
8
1
1
1
22
5
34
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
37
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
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
1
1
1
1
8
3
1
3
1
1
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
47
1
1
2
1
1
1
1
5
1
1
1
1
1
3
1
3
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
1
1
1
3
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
3
1
3
1
3
3
1
11
4
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
11
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
1
1
3
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
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
10
5
1
4
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
5
1
1
3
1
1
1
1
3
3
3
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
3
7
1
3
10
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
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
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
10
1
3
1
3
1
1
3
7
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
5
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
16
1
1
1
1
1
3
7
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
15
12
1
5
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
3
3
2
85
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
228
1
1
1
1
1
4
1
3
1
1
1
3
1
4
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
3
10
1
1
6
1
3
1
1
1
3
1
24
1
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
4
1
1
1
21
3
3
5
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
8
1
292
1
3
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
4
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
3
1
1
3
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
3
1
1
1
1
3
12
1
8
5
1
1
1
9
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
3
1
1
52
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
5
1
3
1
1
1
3
1
1
1
4
3
1
1
1
1
1
1
1
1
1
6
1
1
8
4
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
5
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
4
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
4
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
5
3
3
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
19
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
7
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
18
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
9
1
1
3
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
5
1
4
1
1
1
1
1
1
1
1
2
3
3
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
3
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
3
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
1
1
3
1
3
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
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
13
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
9
7
1
1
4
5
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
20
1
1
5
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
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
6
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
11
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
9
1
4
1
1
1
1
31
1
1
1
4
1
3
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
1
5
1
1
3
1
16
1
1
1
1
1
1
1
1
1
1
1
1
20
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
5
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
13
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
3
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
5
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
14
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
19
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
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
3
1
1
1
1
1
1
1
1
1
6
1
3
4
1
1
1
1
1
1
1
3
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
1
1
1
1
1
1
6
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
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
5
1
4
9
3
4
1
1
1
311
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
72
5
6
3
1
1
1
1
5
672
1
8
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
3
5
1
3
5
1
3
1
3
1
1
1
4
44
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
231
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
5
3
3
5
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
4
1
1
3
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
10
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
13
1
1
3
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
9
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
7
1
1
7
1
1
1
1
1
3
1
15
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
1
3
1
1
3
1
7
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
1
1
1
1
1
1
6
1
5
1
3
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
2
1
1
1
3
1
1
1
5
1
1
1
1
28
1
1
3
1
1
1
1
11
5
3
6
3
1
5
1
1
1
1
1
1
1
1
1
438
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
5
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
10
1
1
1
1
18
8
1
1
9
3
1
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
11
1
1
1
1
1
1
1
15
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
3
30
1
3
1
3
1
1
1
1
3
5
1
1
1
1
1175
5
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
5
1
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
7
1
1
3
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
3
1
1
1
1
1
1
1
32
1
3
18
1
1
1
11
1
1
1
3
58
1
1
8
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
3
1
1
1
3
1
5
1
1
7
1
1
1
16
1
1
1
1
1
1
1
1
1
5
1
1
3
5
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
14
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
52
1
1
3
1
5
1
1
1
1
1
1
1
6
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
4
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
3
1
1
1
1
16
4
3
1
1
3
1
1
1
1
3
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
17
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
5
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
3
137
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
34
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
16
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
2
3
1
1
1
1
1
1
3
5
1
3
14
1
32
1
1
1
28
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
4
9
1
3
7
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
5
3
25
1
8
3
1
11
1
1
1
1
3
1
1
3
1
1
10
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
8
1
1
1
1
1
1
18
1
1
1
1
1
3
3
1
1
1
1
5
3
1
1
3
1
1
1
30
1
3
6
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
12
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
6
1
1
3
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
11
1
1
1
1
1
3
1
24
1
1
1
1
1
3
1
1
1
1
1
4
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
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
3
1
1
1
1
1
1
5
3
7
1
3
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
4
4
1
3
1
1
1
6
3
1
6
3
1
1
3
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
10
1
5
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
3
1
1
1
24
1
1
1
3
1
1
1
1
1
5
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
3
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
12
1
5
3
1
1
1
1
1
3
1
3
1
37
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
13
13
1
3
3
1
1
1
1
1
6
12
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
3
1
1
1
1
1
1
1
1
56
1
1
7
1
1
3
3
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
72
5
1
1
7
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
5
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
1
16
1
4
1
1
1
1
1
14
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
3
1
1
3
1
3
3
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
2
3
1
5
1
3
3
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
14
1
1
9
1
1
1
5
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
3
11
1
10
1
1
1
1
1
3
23
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
1
5
1
1
5
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
4
7
1
1
1
1
1
3
1
1
1
1
1
1
20
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
5
1
1
7
1
1
1
246
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
17
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
3
10
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
4
3
1
1
1
1
1
1
1
3
1
1
411
1
1
1
1
1
1
5
1
1
1
1
7
1
1
5
1
1
5
3
3
1
1
1
1
5
1
8
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
3
1
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
3
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
7
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
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
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
7
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
3
1
1
1
1
1
1
3
1
1
5
3
11
1
2
1
1
1
3
1
1
1
1
5
8
1
1
5
7
1
1
3
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
5
1
3
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
3
1
1
1
3
1
1
1
1
1
3
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
9
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
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
7
1
1
1
1
7
1
1
1
1
1
1
14
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
3
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
3
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
3
1
1
1
1
1
1
4
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1320
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
9
1
3
1
1
1
1
1
3
1
3
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
9
1
1
1
1
1
1
1
1
10
1
1
3
1
1
60
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
14
1
1
1
3
1
1
1
1
1
1
1
2
1
1
16
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
3
9
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
7
1
6
1
1
1
1
61
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
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
3
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
3
1
1
7
3
1
1
3
1
32
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
16
1
3
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
190
3
3
1
1
1
1
6
1
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
5
1
1
1
3
3
1
1
1
4
1
1
3
1
1
1
1
16
1
1
1
1
3
1
14
1
1
5
1
3
1
1
5
1
1
1
1
1
1
1
1
25
1
22
1
3
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
3
1
1
1
3
3
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
3
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
5
15
3
1
7
1
1
1
1
8
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
9
34
1
1
25
1
1
1
1
1
1
1
1
1
1
1
1
14
3
1
1
3
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
4
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
13
1
1
1
5
1
1
1
3
1
1
1
1
5
1
1
1
4
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
7
1
3
1
1
1
3
3
1
1
7
1
1
8
1
1
1
1
1
1
1
1
24
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
3
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
6
1
3
3
1
1
1
1
1
1
1
1
1
1
1
14
1
1
2
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
7
1
44
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
11
1
1
1
3
7
1
1
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
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
3
1
1
1
1
5
12
1
1
1
3
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
4
1
1
1
1
1
1
7
1
11
1
1
1
1
1
3
2
1
1
1
3
7
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
40
3
1
1
1
1
1
1
1
4
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
30
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
1
11
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
5
1
1
1
1
14
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
5
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
4
3
1
1
1
1
3
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
5
1
1
1
1
3
5
3
4
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
5
1
3
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
5
5
1
5
1
1
1
1
1
3
54
1
1
1
1
1
3
3
1
1
34
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
3
3
1
5
1
5
1
1
1
1
3
1
1
3
1
1
1
1
9
3
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
58
5
3
1
1
3
1
1
1
1
10
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
10
1
1
1
3
1
1
1
1
1
4
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
1
6
3
1
1
1
3
155
1
1
23
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
3
1
1
3
1
1
1
1
1
1
1
1
1
10
1
3
1
1
1
1
1
1
3
3
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
3
1
1
1
11
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
96
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
14
1
1
1
1
1
1
3
3
1
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
2
1
1
1
1
1
12
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
3
7
3
1
1
3
1
1
3
1
1
1
3
3
1
5
1
1
1
1
5
1
1
1
3
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
3
1
1
1
1
1
10
1
1
3
1
2
1
1
1
1
1
1
6
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
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
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
374
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
20
1
1
5
3
1
1
1
1
1
1
5
1
1
1
1
1
1
26
3
3
66
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
3
1
1
3
1
1
7
1
1
5
1
32
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
14
1
1
1
3
57
5
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
5
1
3
1
1
1
10
1
1
5
1
1
1
3
14
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
36
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
8
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
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
15
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
13
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
11
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
4
3
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
84
1
1
1
7
36
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
8
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
3
1
1
1
3
5
1
1
1
1
1
1
12
1
1
3
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
10
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
3
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
3
1
1
2
5
5
5
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
7
1
58
3
1
210
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
3
13
3
1
3
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
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
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
5
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
5
3
3
1
1
1
3
1
1
6
1
1
1
11
1
1
1
3
7
1
1
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
4
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
4
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
6
1
1
1
1
1
3
1
1
1
5
26
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
11
1
3
3
1
3
1
1
1
7
1
1
1
1
1
1
1
26
3
3
1
1
1
1
1
1
7
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
3
3
1
1
1
1
1
3
32
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
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
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
25
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
13
3
1
1
3
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
54
1
1
1
1
1
1
1
11
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
3
3
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
7
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
12
1
1
1
3
3
1
26
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
3
5
1
3
1
3
3
1
1
11
1
1
1
1
1
1
3
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
1
1
1
2
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
9
1
1
3
4
1
1
1
1
1
1
1
1
3
1
4
5
3
1
1
5
1
1
1
3
1
1
3
1
1
1
21
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
442
9
1
1
1
1
3
1
1
1
1
1
5
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
5
1
3
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
7
1
3
1
1
3
1
3
1
1
1
1
1
3
1
1
18
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
1
21
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
3
1
1
1
1
1
6
1
3
1
1
1
1
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
3
3
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
3
520
1
1
1
1
3
1
18
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
14
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
10
1
1
1
3
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
100
1
3
1
1
1
1
1
1
1
3
5
1
1
1
4
1
3
1
1
1
1
1
1
1
13
1
1
1
1
3
1
1
1
7
34
1
1
1
1
1
3
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
5
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
21
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
11
1
8
1
1
1
4
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
13
1
5
1
1
7
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
9
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
4
1
1
20
1
1
1
1
1
1
1
1
1
1
43
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
3
3
1
3
3
1
9
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
3
1
1
1
1
3
3
1
3
3
3
1
1
7
1
1
1
4
3
1
1
1
1
1
3
16
7
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
3
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
3
1
1
1
1
1
5
1
1
1
1
1
1
3
1
10
1
1
1
3
3
1
3
1
1
1
1
4
1
1
1
3
1
1
3
1
3
1
1
3
7
1
1
3
1
9
2
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
9
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
3
4
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
11
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
18
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
3
1
1
1
1
5
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
3
1
2
1
1
14
1
1
1
3
5
3
5
1
1
1
1
1
1
9
1
1
3
1
1
1
7
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
50
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
46
1
1
1
1
1
1
3
1
1
1
1
1
21
3
1
1
3
1
1
3
1
1
16
1
1
1
3
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
3
1
1
1
4
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
1
1
4
3
1
1
1
1
1
1
1
1
1
8
7
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
7
1
3
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
3
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
1
1
1
1
1
5
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
3
3
1
3
1
1
1
1
1
1
1
3
3
1
1
1
2
1
3
1
1
5
1
3
5
3
1
3
4
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
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
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
6
5
3
1
1
1
1
4
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
24
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
3
3
1
1
4
1
3
15
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
22
3
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
5
1
1
5
1
7
1
28
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
50
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
6
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
1
1
5
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
2
1
3
3
1
5
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
4
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
4
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
42
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
20
1
3
1
3
1
1
3
3
2
1
5
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
3
1
4
1
1
23
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
4
1
3
1
1
1
1
1
1
1
3
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
126
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
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
6
3
1
1
1
1
1
1
1
3
1
6
1
1
12
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
12
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
16
1
1
3
1
3
1
1
1
1
6
1
1
3
10
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
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
5
1
1
5
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
23
3
1
1
1
1
1
1
7
1
3
3
4
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
3
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
98
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
4
3
1
1
1
40
1
1
1
1
10
1
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
3
12
1
1
1
1
7
3
3
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
74
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
1
1
3
1
3
1
1
1
7
5
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
4
3
1
15
3
1
1
1
1
1
1
1
10
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
51
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
2
1
1
7
1
5
1
1
1
4
14
1
3
1
1
1
3
1
1
1
1
1
3
5
1
11
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
4
3
1
4
1
1
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
5
1
1
1
7
1
1
1
1
4
1
1
22
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
10
5
1
1
1
5
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
3
1
1
1
1
3
1
3
3
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
3
1
5
94
1
1
1
1
3
1
5
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
9
1
1
136
3
1
1
1
3
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
3
1
1
1
1
1
4
1
1
1
3
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
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
4
1
1
1
1
6
1
49
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
21
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
3
1
11
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
7
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
7
33
9
1
5
1
1
1
3
1
1
1
11
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
1
1
1
1
8
1
1
1
1
1
1
1
22
3
5
1
1
46
1
1
1
3
1
1
1
3
1
1
8
9
1
3
1
1
1
1
1
48
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
9
5
5
1
1
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
4
1
1
3
3
1
1
1
1
3
1
1
1
1
1
9
3
1
1
5
1
1
1
1
1
3
1
11
3
1
3
1
1
1
1
7
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
17
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
6
3
1
1
15
1
1
1
1
8
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
3
1
84
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
3
3
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
15
1
1
1
1
1
6
1
3
1
5
1
1
3
1
1
15
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
13
3
1
1
1
1
1
1
3
6
3
1
1
1
1
7
1
4
1
1
1
1
1
1
3
1
1
1
16
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
4
1
1
1
1
1
4
1
1
1
1
1
4
10
1
1
1
10
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
3
1
1
1
1
1
1
1
6
6
1
1
5
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
3
1
3
1
6
1
1
1
3
14
1
1
1
1
9
1
1
1
1
1
1
1
1
1
4
1
1
1
3
2
1
3
1
1
1
1
1
1
1
3
1
1
1
33
1
1
1
1
1
1
1
1
3
1
3
5
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
3
4
1
1
1
1
1
3
1
1
1
5
1
1
1
1
3
3
1
1
2
3
1
1
1
1
1
12
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
25
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
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
3
1
3
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
3
1
1
3
1
1
1
1
1
1
1
1
1
6
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
1
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
6
1
1
7
1
1
1
1
5
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
3
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
10
1
1
3
3
1
1
1
1
6
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
5
3
6
1
1
5
2
1
5
6
1
3
1
1
1
29
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
20
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
12
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
3
1
9
5
1
1
3
1
3
1
1
1
1
1
1
1
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
66
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
84
1
3
1
1
1
1
1
6
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
18
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
3
1
5
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
40
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
4
1
1
1
1
1
1
1
5
1
31
1
1
1
1
3
13
3
1
3
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
5
11
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
32
1
1
1
1
1
3
1
1
7
1
3
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
1
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
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
5
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
10
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
3
3
3
1
3
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
3
1
1
1
1
1
1
8
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
4
1
5
1
4
1
1
3
1
1
1
1
1
1
1
1
1
14
5
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
3
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
7
10
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
10
6
1
1
1
7
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
13
1
1
1
3
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
18
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
7
5
1
1
1
5
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
7
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
7
1
3
3
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
4
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
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
30
1
1
1
1
1
1
1
3
321
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
10
1
1
1
6
1
1
1
1
1
6
3
5
3
1
1
5
1
1
1
7
1
1
1
3
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
17
1
1
1
1
1
1
1
28
4
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
6
17
1
1
3
1
1
1
1
1
1
1
1
1
1
3
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
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
4
1
3
1
1
14
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
10
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
9
1
1
1
5
1
46
1
3
1
1
42
1
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
10
2
1
1
1
1
1
3
1
1
1
1
1
1
3
7
1
3
3
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
4
1
1
3
1
3
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
3
1
1
1
3
3
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
5
1
1
7
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
6
1
1
3
6
3
1
1
7
1
5
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
3
3
3
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
6
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
3
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
5
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
292
1
1
3
5
5
3
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
3
84
1
6
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
7
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
47
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
187
5
1
1
1
1
3
1
1
5
1
1
3
1
1
1
6
1
1
1
1
7
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
5
1
5
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
11
1
3
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
4
3
5
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
7
3
3
1
1
1
65
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
6
1
1
1
1
89
1
3
48
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
12
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
4
1
16
1
3
1
1
1
1
1
5
8
1
1
1
18
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
1
24
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1955
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
10
1
1
3
3
3
1
1
1
1
1
1
5
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
11
9
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
5
1
1
3
1
1
1
1
1
1
31
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
3
1
1
1
4
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
67
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
12
1
12
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
5
3
3
1
4
5
1
1
1
1
1
1
7
1
1
1
10
64
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
23
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
9
3
1
1
1
1
1
3
1
1
1
3
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
13
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
8
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
13
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
228
1
4
1
1
1
1
1
1
1
1
1
6
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
2
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
16
2
1
1
1
1
1
3
1
1
1
1
1
1
3
3
3
1
1
3
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
166
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
3
5
1
2
1
4
1
1
1
1
1
1
1
1
25
1
1
7
7
1
1
1
5
1
3
1
1
17
1
3
3
3
1
1
1
1
1
1
1
1
1
2
3
1
1
26
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
1
1
1
16
1
5
1
3
1
1
5
1
5
1
76
1
48
1
1
3
3
1
3
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
7
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
7
1
3
1
1
1
1
1
1
1
1
1
3
3
1
5
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
17
1
1
3
1
1
1
1
4
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
34
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
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
3
3
1
5
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
6
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
7
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
4
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
8
1
1
1
1
10
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
30
1
3
4
1
4
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
64
3
1
1
1
3
1
1
1
3
3
1
1
19
5
1
1
1
1
3
1
3
41
1
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
4
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
15
1
1
1
1
3
1
1
4
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
26
1
4
24
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
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
5
1
3
3
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
19
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
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
16
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
4
1
1
1
6
1
1
1
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
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
3
7
1
1
1
1
1
1
1
1
1
5
1
1
7
1
1
1
1
7
1
1
1
1
1
1
1
10
1
3
1
3
5
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
27
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
36
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
24
15
5
3
1
7
1
1
1
1
3
5
1
1
1
1
10
1
1
1
1
3
1
1
1
1
10
3
1
1
1
1
3
1
1
180
3
1
1
2
1
5
1
1
1
1
1
1
3
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
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
17
1
1
1
1
1
9
18
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
9
4
1
3
1
1
3
1
1
7
3
1
1
1
3
5
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
10
1
3
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
6
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
6
3
1
3
1
1
1
1
3
1
16
1
1
1
1
1
1
1
1
3
1
8
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
14
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
9
1
1
1
1
1
5
1
6
1
1
1
1
1
1
1
1
14
3
1
7
1
34
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
62
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
2
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
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
48
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
5
1
1
1
1
1
3
1
5
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
33
1
3
1
1
3
5
3
1
1
1
1
1
1
3
1
11
1
3
3
1
1
3
1
3
1
3
3
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
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
9
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
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
4
1
3
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
15
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
6
3
1
1
1
1
16
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
5
1
1
1
1
1
1
1
3
1
1
17
1
2
3
3
5
5
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
5
1
3
6
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
9
1
22
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
51
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
28
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
4
1
5
1
1
1
1
3
5
1
1
5
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
54
40
1
1
1
1
1
1
3
9
3
3
1
1
1
30
1
1
3
1
1
5
1
1
1
22
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
3
1
1
1
1
1
3
1
1
3
1
3
1
1
1
80
3
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
11
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
4
1
3
23
1
1
6
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
12
1
1
12
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
5
25
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
3
1
1
1
1
1
8
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
5
1
1
1
1
3
1
1
1
3
10
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
16
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
3
18
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
9
1
1
1
1
1
1
4
3
1
3
1
1
1
5
4
1
1
1
1
1
1
3
1
2
3
1
1
5
1
1
3
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
3
3
3
1
1
1
193
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
7
3
1
1
1
3
1
1
1
3
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
16
1
1
1
1
1
3
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
3
22
1
1
4
1
1
3
5
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
4
1
1
3
5
1
1
5
3
1
5
1
1
1
1
1
3
1
3
1
1
26
1
3
1
3
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
4
1
1
1
18
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
47
1
1
1
1
1
1
1
3
1
3
1
6
1
16
3
1
11
5
3
1
1
3
1
1
1
1
5
1
1
5
1
3
8
1
1
1
1
1
1
1
3
1
10
4
3
1
3
1
5
1
1
3
1
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
1
1
1
10
1
1
1
74
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
5
40
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
4
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
7
1
1
5
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
8
1
13
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
6
1
1
5
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
68
1
3
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
12
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
7
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
78
1
1
1
1
5
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
3
1
3
1
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
52
1
1
8
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
3
1
3
3
3
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
3
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
1
1
1
1
1
1
1
3
1
1
5
4
1
1
1
1
3
4
1
5
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
12
1
1
1
3
1
1
1
1
1
1
16
3
1
3
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
3
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
6
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
1
7
3
1
3
1
4
3
1
1
5
8
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
11
1
1
8
1
3
1
4
1
3
1
1
1
1
1
1
3
1
1
1
1
4
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
15
1
1
1
1
1
1
1
1
3
1
7
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
19
3
3
3
1
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
7
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
3
1
3
1
1
1
1
1
1
1
3
1
1
11
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
5
3
18
1
1
1
1
1
1
3
9
1
1
1
1
3
1
1
4
1
3
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
13
1
1
1
1
1
1
2
1
1
1
3
5
1
3
1
1
3
1
1
3
1
5
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
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
7
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
3
3
1
1
1
9
1
1
1
1
1
1
1
5
3
1
1
5
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
3
1
1
1
1
7
1
1
5
3
9
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
19
1
1
1
1
1
1
2
1
51
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
18
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
3
5
1
1
1
3
8
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
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
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
21
4
1
1
1
1
1
3
1
1
1
1
12
3
1
1
1
1
5
1
4
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
3
1
1
4
1
1
1
8
3
1
1
3
5
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
11
3
3
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
40
1
1
1
1
1
5
7
1
1
48
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
7
1
1
3
1
25
1
1
1
1
1
9
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
3
15
1
1
4
1
7
1
1
3
1
1
1
5
1
1
1
1
1
10
1
1
1
1
1
3
1
39
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
3
1
1
1
3
5
1
1
1
1
1
11
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
7
1
9
1
1
1
1
1
1
1
1
5
1
1
6
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
42
1
1
1
1
3
7
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
27
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
147
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
5
1
1
1
8
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
52
4
1
1
1
1
1
1
4
4
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
8
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
10
1
4
3
1
1
9
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
3
7
1
1
1
4
1
1
1
2
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
14
1
1
1
3
1
1
4
1
1
1
1
1
1
8
3
1
1
1
1
1
3
1
1
3
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
3
1
1
4
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
30
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
1
270
1
1
1
3
1
1
1
1
7
1
1
3
1
1
17
16
1
1
1
1
1
1
1
1
9
6
3
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
3
1
1
1
3
28
2
1
1
1
1
1
1
1
5
1
1
1
10
1
5
1
1
1
1
3
1
1
1
1
1
8
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
4
3
5
1
1
51
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
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
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
1
3
3
1
1
6
1
1
1
3
1
1
1
1
1
1
7
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
9
1
3
1
1
5
1
1
1
1
1
1
5
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
5
1
1
1
1
18
1
8
1
1
1
3
1
3
1
8
1
9
1
1
1
210
1
1
1
1
1
20
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
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
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
19
16
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
16
1
1
1
1
1
1
1
3
1
3
1
39
1
1
5
1
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
3
3
1
5
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
1
113
3
1
8
1
8
1
1
4
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
16
1
1
3
1
1
1
1
1
1
1
1
1
40
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
329
1
1
12
3
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
7
1
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
1
1
10
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
5
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
26
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
4
1
1
1
1
5
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1140
1
1
1
1
1
1
5
1
6
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
5
1
1
3
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
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
10
18
2
5
1
25
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
4
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
38
1
1
3
3
1
1
1
1
1
1
3
1
11
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
3
1
1
1
1
3
1
1
1
8
1
1
1
1
3
1
1
1
1
3
1
1
3
1
3
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
25
1
1
1
5
1
3
12
4
1
1
21
1
1
4
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
3
1
1
3
1
3
1
1
1
1
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
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
10
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
2
3
3
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
5
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
6
1
1
1
1
3
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
5
2
1
1
1
2
1
1
1
5
9
1
1
1
1
1
1
1
1
1
1
1
19
1
1
3
1
1
1
1
3
1
1
1
1
4
1
2
1
1
1
16
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
8
1
1
1
3
1
1
3
8
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
58
3
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
10
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
3
1
1
1
1
5
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
30
1
1
3
1
1
1
3
1
1
1
1
1
6
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
16
1
1
1
3
1
1
1
1
1
344
1
1
26
472
3
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
6
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
3
5
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
1
1
1
1
1
9
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
8
1
3
1
3
1
1
3
3
11
3
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
6
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
11
1
1
1
1
3
1
1
1
1
4
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
42
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
5
1
3
1
1
3
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
1
3
1
1
1
1
1
3
1
1
1
1
3
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
1
1
1
1
1
1
1
12
1
1
1
3
1
1
1
1
1
9
7
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
4
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
20
1
3
1
5
1
3
11
1
1
1
13
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
22
1
1
1
32
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
9
2
3
1
3
1
1
1
1
5
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
5
3
1
1
1
1
7
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
3
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
45
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
13
8
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
16
1
1
3
3
1
3
3
1
1
3
1
3
1
1
7
1
14
3
1
5
11
1
1
1
1
1
1
1
1
1
5
1
1
1
6
1
1
1
3
1
1
1
5
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
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
3
1
1
1
3
1
1
5
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
3
1
3
5
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
3
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
5
3
1
1
1
1
1
1
5
3
1
4
1
3
1
1
3
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
35
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
8
1
1
1
3
3
1
1
1
1
1
1
1
36
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
15
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
3
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
7
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
8
1
10
1
1
1
1
1
1
1
1
1
9
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
11
3
1
1
1
1
1
25
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
8
3
1
3
13
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
7
1
28
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
5
3
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
17
1
1
1
1
6
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
11
1
1
1
5
1
1
1
1
5
1
3
1
3
7
1
1
5
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
46
1
1
1
1
1
3
3
1
1
1
3
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
1
9
1
1
1
3
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
7
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
30
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
3
3
1
1
1
1
1
1
3
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
5
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
1
5
1
1
1
1
5
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
1
1
1
1
1
5
1
1
1
1
5
1
1
6
1
24
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
21
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
3
5
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
3
1
1
1
6
1
1
1
1
3
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
3
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
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
34
5
52
1
1
1
1
1
1
1
5
3
1
1
5
1
5
1
3
1
1
1
1
1
10
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
3
3
1
10
1
1
1
1
1
1
1
14
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
7
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
3
2
1
1
1
3
1
1
14
1
1
6
1
1
1
1
1
1
1
1
52
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
129
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
5
5
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
4
17
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
6
1
1
1
3
1
5
5
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
7
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
28
29
1
3
1
1
1
1
1
3
1
1
1
6
16
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
3
1
1
1
1
1
9
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
1
1
5
3
78
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
7
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
1
1
3
1
1
1
3
1
1
3
1
1
1
1
7
1
1
3
1
1
1
20
1
3
1
1
1
1
1
1
1
6
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
9
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
5
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
5
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
5
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
4
1
1
1
1
1
4
1
5
1
1
8
3
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
7
5
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
3
36
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
1
1
1
1
3
1
17
1
8
9
1
1
1
3
1
1
1
1
1
1
4
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
3
15
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
7
1
1
3
3
6
1
1
1
1
1
1
1
1
1
6
1
1
1
1
5
1
1
1
1
1
1
1
10
1
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
1
1
7
1
1
1
3
1
1
1
1
3
3
1
1
3
3
1
1
1
1
3
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
20
1
12
1
1
1
4
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
5
3
1
1
24
1
1
2
1
1
1
1
5
4
1
3
1
3
1
1
1
8
1
1
1
31
1
1
1
1
1
2
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
79
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
15
3
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
11
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
9
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
5
2
1
1
16
1
1
1
1
7
1
1
1
1
29
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
5
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
5
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
3
1
1
1
1
1
1
4
3
1
1
1
1
20
1
1
1
12
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
4
1
3
1
1
3
3
1
1
1
1
110
1
1
1
3
1
1
1
1
1
1
1
1
17
3
1
1
1
3
1
1
1
3
1
1
3
1
1
5
1
1
1
1
5
1
3
1
1
1
1
1
1
5
1
1
1
4
1
1
3
1
1
1
1
1
18
1
3
1
1
1
1
1
3
1
1
1
1
1
38
3
1
1
1
1
1
3
3
1
1
1
6
1
1
3
1
1
1
1
1
3
1
151
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
6
1
1
1
1
3
1
1
3
1
1
8
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
11
1
6
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
5
3
1
1
1
5
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
4
1
10
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
79
1
1
1
3
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
29
1
1
1
1
1
1
1
1
3
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
20
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
6
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
3
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
7
3
1
1
1
56
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
3
3
5
3
3
1
1
1
1
1
7
4
1
1
1
1
5
3
3
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
1
1
1
1
1
1
1
1
1
1
1
3
1
8
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
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
1
1
1
1
3
1
1
15
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
3
1
3
1
1
5
1
13
7
3
3
1
1
1
38
1
1
5
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
17
1
7
1
1
1
8
1
1
1
1
1
4
1
2
1
1
1
3
1
1
3
1
1
1
1
5
1
1
5
1
1
1
1
1
1
4
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
5
1
3
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
5
4
1
3
1
1
7
1
1
3
1
9
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
34
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
11
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
15
1
4
1
1
1
1
1
1
14
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
8
1
1
13
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
3
1
1
1
2
1
1
7
3
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
2
1
5
1
1
1
1
1
1
1
3
1
1
1
40
1
1
3
1
1
1
3
1
1
1
1
1
1
1
8
3
3
1
16
1
1
5
1
1
3
3
4
1
1
1
1
1
1
3
1
1
1
1
6
1
6
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
3
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
3
1
1
4
1
1
1
3
1
33
1
10
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
3
1
3
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
2
3
1
1
3
1
1
1
1
1
1
1
7
15
1
1
1
1
1
1
1
1
1
1
1
11
3
1
1
1
3
13
1
1
1
1
1
1
3
1
1
18
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
10
5
1
3
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
14
1
1
5
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
3
1
1
1
1
1
1
1
1
7
3
1
21
1
1
1
1
1
1
5
1
1
11
1
1
1
3
1
1
1
1
1
1
1
3
3
1
3
5
1
1
15
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
1
1
5
1
4
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
5
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
7
1
20
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
56
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
10
3
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
5
1
4
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
11
1
3
1
1
1
1
1
1
1
1
1
5
1
3
3
1
1
1
1
1
1
5
3
1
1
7
1
3
1
1
1
1
1
46
1
1
5
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
3
1
1
1
15
1
3
1
1
1
1
1
1
3
1
1
3
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
5
1
1
1
1
3
1
1
3
3
33
1
1
47
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
6
1
1
5
1
1
1
6
1
1
1
8
5
1
1
5
1
1
2
1
9
3
1
1
1
3
3
1
1
1
1
1
3
1
1
1
30
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
10
1
1
1
3
1
5
3
1
1
1
1
1
1
8
1
3
1
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
13
1
9
1
12
1
1
3
1
1
1
1
1
9
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
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
9
1
1
1
1
1
3
1
1
3
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
78
1
1
1
6
1
1
1
108
3
1
3
1
1
3
1
3
1
1
3
13
1
3
1
1
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
13
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
7
1
1
14
1
1
1
1
1
1
5
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
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
1
6
1
10
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
36
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
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
5
1
35
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
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
3
1
12
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
3
3
5
3
1
3
1
1
1
1
1
1
4
1
1
1
6
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
26
1
1
1
3
1
1
7
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
5
1
1
1
1
1
1
3
1
3
1
1
1
3
1
3
1
1
4
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
3
1
1
22
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
198
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
5
1
3
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
6
3
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
5
4
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
61
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
14
1
1
1
1
1
1
5
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
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
3
5
3
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
12
1
1
3
1
1
6
3
1
1
1
1
1
1
3
1
4
1
13
1
1
1
3
1
1
4
1
3
6
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
6
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
3
3
1
1
1
1
1
3
1
2
1
1
3
1
1
1
4
1
1
1
1
2
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
61
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
20
1
1
1
1
1
1
1
1
1
1
7
1
4
1
1
5
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
86
1
1
1
1
7
1
3
1
1
1
3
1
1
5
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
4
1
1
3
1
1
5
1
1
1
1
1
1
5
1
5
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
32
1
3
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
5
1
3
1
1
1
1
1
1
1
5
3
1
3
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
10
15
1
1
3
2
1
1
5
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
3
5
2
1
7
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
72
3
1
1
3
3
1
1
1
1
46
3
1
3
3
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
1
18
1
1
1
3
1
1
1
1
3
1
12
1
3
2
2
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
15
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
3
1
1
5
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
8
13
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
26
1
20
1
1
6
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
9
3
3
3
1
1
1
1
1
1
4
1
1
11
1
1
3
1
3
5
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
12
1
1
3
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
1
3
1
1
1
1
3
1
1
1
14
1
1
1
1
1
1
1
1
3
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
11
1
1
1
1
3
1
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
3
3
1
1
1
1
1
1
3
9
4
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
36
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
1
5
3
1
1
4
1
1
1
1
10
5
1
1
1
1
1
1
1
1
1
1
5
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
25
4
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
4
1
5
1
1
1
5
1
3
1
1
1
3
3
1
1
1
5
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
18
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
19
1
3
3
1
1
3
16
1
1
1
6
1
1
1
18
2
1
6
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
7
1
3
1
1
3
15
1
3
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
2
3
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
1
4
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
4
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
1
1
1
1
1
1
1
3
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
9
1
1
1
3
53
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
264
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
512
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
3
16
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
13
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
7
1
5
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
3
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
5
1
5
1
1
3
3
1
1
1
1
1
1
1
1
1
25
1
1
3
1
1
1
1
16
7
1
3
1
498
1
1
320
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
356
1
3
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
3
1
19
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
14
1
2
1
1
1
1
3
1
6
1
3
1
1
1
1
4
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
17
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
5
1
1
1
3
3
1
1
1
3
1
3
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
191
1
3
1
1
1
1
1
3
3
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
40
3
1
1
1
1
7
1
1
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
6
3
1
1
8
1
1
3
1
1
1
1
7
366
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
11
1
1
1
3
1
1
3
1
3
1
3
1
1
3
1
1
1
1
5
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
16
1
3
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
5
1
1
1
1
1
1
3
3
3
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
1
1
201
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
5
3
3
1
1
1
1
1
3
1
1
1
3
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
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
5
4
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
118
1
55
1
1
1
1
3
1
1
3
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
18
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
3
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
5
1
3
3
3
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
4
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
4
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
8
1
1
1
1
1
3
1
1
1
1
1
3
1
1
4
3
1
1
5
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
12
1
1
3
2
1
1
1
264
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
6
1
1
1
7
1
1
1
1
1
1
1
1
3
3
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
4
1
1
1
1
1
7
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
6
1
1
1
5
1
1
1
7
1
7
1
1
1
1
1
3
1
1
136
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
13
3
1
3
1
1
1
3
1
1
1
1
1
1
1
2
3
1
3
1
1
5
1
1
3
1
7
1
1
1
1
1
1
1
5
3
2
1
1
1
1
13
1
1
1
1
1
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
234
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
6
1
1
1
1
1
1
2
1
1
1
7
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
11
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
116
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
36
1
3
1
1
1
9
15
1
1
1
1
1
7
1
1
1
1
3
11
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
8
1
1
1
5
7
1
3
8
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
726
3
1
1
1
1
3
1
1
1
1
3
1
1
5
3
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
3
1
1
1
1
3
1
3
9
4
1
3
1
6
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
194
3
1
1
1
1
1
1
1
1
1
1
45
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
23
3
1
1
1
4
1
1
1
3
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
10
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
6
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
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
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
3
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
3
1
1
3
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
1
44
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
3
5
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
14
1
1
5
3
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
17
3
1
1
1
1
1
3
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
5
1
4
1
1
1
1
1
4
1
1
1
5
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
3
3
1
7
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
1
5
1
1
1
3
1
5
1
5
1
1
11
1
1
3
1
7
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
20
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
3
1
3
1
9
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
23
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
9
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
3
1
18
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
1
1
18
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
3
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
5
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
3
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
44
1
7
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
3
1
1
1
10
3
1
7
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
3
1
1
1
19
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
7
9
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
3
1
1
7
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
3
13
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
5
1
1
2
2
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
9
1
1
1
7
1
1
1
1
1
1
9
7
1
1
1
1
1
1
1
1
1
8
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
5
1
1
1
3
1
3
1
1
1
3
1
1380
1
1
1
1
1
3
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
3
1
3
3
1
1
1
10
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
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
3
1
1
13
1
1
14
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
8
1
1
1
5
2
3
1
1
1
3
1
1
16
1
1
1
1
1
1
1
40
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
5
1
3
1
1
1
1
1
1
1
1
1
56
1
3
3
1
1
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
5
1
1
1
1
4
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
5
1
3
1
1
3
1
1
1
1
1
1
15
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
3
1
1
3
1
5
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
12
1
1
1
10
1
1
1
1
5
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
8
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
3
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
16
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
4
3
1
3
1
3
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
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
19
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
3
1
1
1
1
7
3
1
1
1
34
1
1
3
1
1
1
1
1
1
1
3
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
3
1
1
5
3
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
5
3
1
1
8
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
86
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
3
3
1
10
1
1
3
1
1
1
1
1
86
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
10
1
1
5
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
15
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
87
1
1
5
1
1
1
7
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
3
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
8
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
1
1
1
16
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
5
3
1
1
1
1
1
1
1
1
3
1
91
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
5
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
1
1
1
1
1
2
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
4
1
5
3
1
1
2
3
1
2
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
3
4
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
4
1
20
3
1
1
1
1
1
1
46
1
3
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
4
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
2
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
3
2
3
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
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
36
3
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
15
1
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
3
3
1
1
1
1
1
5
1
5
1
1
1
1
5
1
3
1
1
1
3
2
1
3
1
1
9
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
5
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
7
1
1
1
4
1
3
3
1
1
1
1
1
1
1
1
1
1
5
4
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
16
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
10
1
1
1
1
1
5
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
55
1
1
16
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
19
5
1
1
1
42
1
3
13
1
1
1
1
1
1
1
1
1
3
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
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
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
3
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
77
1
3
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
9
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
8
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
3
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
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
3
3
1
1
19
3
1
1
1
5
1
1
3
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
92
1
1
1
1
1
3
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
3
3
1
1
1
3
1
1
314
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
12
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
3
1
1
1
1
1
5
4
1
1
3
1
3
3
1
1
1
1
3
1
1
1
1
1
3
1
1
8
1
1
1
1
1
4
1
4
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
7
9
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
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
3
3
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
9
1
1
1
1
1
3
1
1
1
1
1
1
1
82
30
1
1
3
1
3
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
4
1
1
27
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
5
1
3
1
1
1
1
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
1
1
1
1
6
1
1
1
3
1
1
1
6
13
1
1
1
1
2
3
1
3
1
1
1
3
5
3
12
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
2
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
3
1
1
5
3
3
7
3
1
3
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
98
1
1
1
3
3
2
1
5
1
1
1
1
1
1
1
108
1
1
1
1
1
3
1
1
1
3
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
5
3
1
1
1
4
1
28
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
2
3
1
3
1
1
1
1
1
3
1
3
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
3
3
1
1
1
1
19
1
1
1
1
1
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
10
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
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
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
36
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
8
3
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
3
1
1
1
1
15
7
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
7
3
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
15
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
9
1
3
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
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
38
1
1
1
1
1
3
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
86
1
4
1
1
1
1
1
1
4
4
1
1
7
3
1
3
1
3
5
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
3
1
1
5
1
1
1
61
3
1
1
1
1
1
1
1
32
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
14
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
5
1
6
1
3
1
1
1
1
1
1
1
1
3
1
84
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
23
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
1
1
3
1
5
1
3
1
3
3
1
1
1
6
14
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
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
4
1
1
1
3
6
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
2
3
1
1
1
1
1
1
1
1
1
1
3
1
56
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
9
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
22
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
9
5
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
4
1
1
1
1
7
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
3
3
1
1
13
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
33
1
1
1
1
1
1
1
1
1
1
1
1
1155
1
1
1
1
1
40
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
4
4
1
1
1
29
1
1
1
24
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
7182
1
1
1
9
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
32
4
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
5
5
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
8
1
1
1
3
1
1
1
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
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
29
1
1
5
1
1
5
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
3
1
1
1
3
1
3
3
1
5
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
3
1
9
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
13
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
7
1
1
1
1
1
1
1
8
1
1
3
1
4
1
1
1
1
1
1
1
3
1
1
3
9
1
1
2
1
1
1
1
1
1
68
1
3
3
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
2
1
3
3
3
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
3
1
1
1
1
3
1
3
3
3
1
1
1
1
1
1
1
41
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
21
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
6
1
1
1
1
10
1
53
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
9
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
3
1
1
1
1
1
1
1
1
1
44
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
166
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
12
3
1
1
1
3
1
1
1
1
3
1
7
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
23
55
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
6
5
1
1
3
1
1
3
27
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
3
2
1
3
1
1
1
4
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
14
7
1
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
1
3
1
1
4
3
1
1
5
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
7
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
300
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
3
1
1
3
1
1
3
3
1
1
1
1
5
1
1
1
1
1
1
3
5
3
1
1
1
3
1
1
3
3
1
4
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
3
3
1
5
1
1
1
5
1
8
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
3
5
1
1
1
1
8
3
1
2
3
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
4
1
3
1
6
1
3
1
1
1
1
1
1
10
1
6
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
9
1
5
1
1
1
23
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
8
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
10
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
3
12
3
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
3
1
1
3
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
3
2
3
5
8
1
3
1
1
1
1
1
3
1
1
3
3
5
1
1
3
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
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
4
1
1
1
6
1
1
1
1
3
3
1
1
3
3
1
1
1
1
1
5
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
4
1
1
1
1
1
4
7
1
1
1
1
13
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
1
15
1
1
1
1
1
4
1
5
1
1
1
1
3
5
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
5
1
1
1
1
1
1
2
4
3
1
1
1
1
21
1
1
1
1
1
1
3
1
1
1
1
1
3
15
4
1
1
1
1
1
1
1
3
5
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
1
5
1
3
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
8
1
1
3
1
1
1
1
1
1
3
1
10
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
13
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
4
11
1
1
1
3
5
1
1
5
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
226
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
10
3
1
1
7
1
1
1
1
1
1
3
3
1
1
1
1
7
3
1
3
1
5
1
1
3
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
1
5
1
1
1
1
1
12
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
11
1
1
1
1
1
3
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
3
1
1
3
1
1
11
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
3
3
1
3
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
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
3
1
1
1
1
3
15
1
1
1
1
11
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
3
3
8
1
3
2
1
1
8
1
3
1
1
1
3
1
1
3
4
1
1
1
1
1
5
6
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
6
1
1
3
1
1
5
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
9
3
3
1
3
1
1
1
1
1
6
3
1
1
1
1
1
1
1
5
14
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
10
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
3
1
1
1
1
5
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
5
3
3
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
7
1
5
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
18
1
1
1
1
1
1
1
1
1
1
1
1
152
1
3
1
1
1
10
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
3
3
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
4
1
1
1
5
1
1
1
3
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
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
3
1
1
1
7
1
3
8
1
1
1
1
1
1
1
1
1
1
1
4
5
1
1
3
1
1
1
1
3
1
29
1
5
1
1
90
1
1
1
1
1
1
1
1
1
12
3
1
1
1
1
1
14
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
7
1
20
1
1
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
5
12
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
3
3
1
1
1
3
1
1
1
1
1
3
1
8
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
1
36
1
1
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
11
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
9
1
1
3
1
2
1
1
1
6
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
4
24
1
1
1
1
1
1
1
3
1
1
3
7
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
5
1
1
3
1
3
14
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
13
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
5
1
1
1
1
1
1
1
1
3
1
1
1
17
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
3
3
3
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
11
1
1
3
1
1
1
1
1
7
1
1
5
1
1
2
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
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
3
1
5
1
1
1
1
1
3
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
4
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
2
1
1
3
1
1
1
1
3
1
1
4
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
50
3
1
1
5
3
1
5
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
3
3
1
1
1
1
1
1
5
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
8
1
1
3
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
16
1
1
1
1
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
3
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
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
3
2
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
19
1
1
1
5
1
1
3
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
2
1
5
1
1
3
1
1
1
1
1
1
1
1
5
1
6
1
1
1
1
10
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
5
1
1
1
1
1
5
1
1
1
1
3
3
1
1
4
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
157
1
1
8
1
3
11
1
1
1
1
1
1
1
1
1
1
1
1
1
74
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
5
1
1
3
1
10
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
5
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
4
1
1
2
1
3
1
1
1
1
1
1
32
1
1
1
1
1
1
1
5
1
1
1
3
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
3
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
11
1
1
1
13
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
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
1
15
1
3
5
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
3
1
1
1
1
1
1
1
3
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
6
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
9
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
11
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
5
18
1
1
4
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
9
1
3
1
1
1
1
5
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
7
1
1
1
1
1
4
6
1
1
1
1
3
10
3
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
3
1
1
1
1
1
1
1
1
136
1
1
9
1
1
5
1
4
1
1
1
1
1
4
64
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
3
2
1
1
1
1
1
1
1
789
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
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
1
1
1
1
1
1
38
1
1
3
1
13
3
1
11
1
3
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
3
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
1
3
3
1
1
1
1
10
1
1
1
1
1
1
4
1
3
1
1
1
1
7
1
1
1
1
1
1
1
27
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
5
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
132
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
269
1
1
1
1
1
3
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
4
7
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
8
1
3
3
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
22
1
1
1
5
18
5
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
7
1
1
1
1
3
1
1
2
1
1
1
3
1
3
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
4
5
15
9
1
1
11
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
3
12
1
1
5
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
7
1
1
1
1
1
1
84
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
11
1
2
5
1
1
1
1
1
9
1
1
1
1
4
14
3
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
3
1
1
13
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
9
12
1
1
1
1
1
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
1
1
1
1
1
1
1
5
1
5
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
5
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
5
3
8
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
5
1
1
6
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
42
1
3
1
1
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
14
1
6
1
1
1
1
3
1
1
14
1
3
1
1
1
1
1
1
1
1
1
8
3
1
4
5
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
132
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
5
1
1
1
1
1
31
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
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
3
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
3
1
1
7
1
1
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
9
5
1
3
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
22
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
5
1
1
1
1
3
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
254
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
4
1
2
1
1
1
1
1
1
1
1
1
3
1
10
9
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
4
1
3
1
1
1
1
1
3
8
1
1
1
1
1
1
5
3
1
1
1
1
5
1
1
1
1
39
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
2
1
1
1
1
1
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
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
3
1
2
1
8
1
3
1
1
1
35
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
18
3
1
5
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
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
61
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
44
1
1
1
1
1
1
1
1
3
1
1
1
1
4
3
1
1
1
1
3
3
1
9
1
1
31
1
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
7
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
3
3
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
7
3
3
1
10
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
8
1
56
1
13
1
1
1
1
1
3
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
5
1
3
1
1
1
7
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
16
1
1
1
4
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
19
1
1
1
1
1
4
1
1
1
5
7
1
1
1
1
4
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
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
3
1
1
1
1
3
1
3
3
1
2
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
1
1
1
1
1
1
3
5
1
1
1
9
1
1
1
1
1
143
1
3
1
6
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
7
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
4
1
1
1
1
1
1
3
1
3
1
1
11
1
1
1
1
1
1
3
1
1
13
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
7
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
14
1
5
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
14
1
1
4
1
1
1
3
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
13
1
1
1
50
1
1
1
1
1
4
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
40
5
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
6
1
52
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
11
1
1
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
20
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
5
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
3
1
1
23
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
6
1
1
1
3
1
18
1
1
19
1
1
1
1
1
1
1
1
1
1
1
3
8
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
16
1
22
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
1
3
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
74
1
3
1
1
16
1
370
1
10
1
3
1
1
1
1
3
7
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
34
3
1
1
1
8
3
1
1
5
1
1
1
1
1
1
1
1
3
1
32
1
1
1
7
1
1
3
1
1
1
42
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
31
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
10
3
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
22
1
1
5
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
5
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
28
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
5
1
1
1
1
6
1
1
1
1
4
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
4
1
1
1
1
1
1
1
1
1
4
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
8
1
1
1
5
1
1
6
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
1
1
5
1
1
7
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
3
4
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
8
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
7
1
1
5
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
52
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
27
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
37
1
1
1
1
3
1
462
2
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
4
3
1
1
1
3
7
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
13
22
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
5
3
1
18
1
3
3
1
1
1
1
7
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
4
1
4
5
3
1
1
1
93
1
1
1
22
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
2
1
1
2
3
2
1
1
1
1
1
1
1
1
3
1
84
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
18
5
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
3
3
1
1
1
1
3
1
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
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
3
1
5
1
1
1
1
3
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
12
5
1
1
1
1
1
1
8
1
3
1
3
1
1
1
36
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
5
1
3
3
4
1
1
1
1
3
1
1
7
1
1
1
1
1
1
3
3
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
5
1
1
1
1
1
3
3
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
1
3
1
1
1
1
1
5
1
1
1
3
1
12
1
1
1
1
1
1
1
1
1
4
1
1
1
10
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
9
1
3
3
1
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
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
1
1
1
1
4
7
3
1
1
1
1
1
1
3
1
1
1
14
1
3
1
1
1
1
1
5
1
3
1
1
1
1
5
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
3
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
4
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
9
1
1
1
1
1
5
3
1
1
5
1
3
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
3
1
1
1
14
4
1
3
1
1
1
1
1
12
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
3
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
3
1
5
1
2
1
1
1
1
1
1
68
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
4
1
4
1
1
3
1
1
1
1
1
5
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
11
1
1
1
1
5
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
3
1
1
1
1
6
1
3
1
1
1
1
1
3
1
1
29
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
13
1
3
1
1
1
5
3
1
1
1
3
1
1
1
1
5
1
1
1
1
7
3
1
1
3
1
5
7
1
1
1
1
1
1
1
1
1
1
45
1
1
1
7
1
3
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
7
5
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
42
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
5
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
7
16
1
3
1
3
1
1
3
2
1
1
1
1
3
1
1
1
3
1
1
4
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
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
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
3
3
1
11
1
2
1
1
1
3
1
3
1
1
1
1
1
1
4
3
1
1
5
1
9
7
1
3
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
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
34
3
3
3
3
1
1
1
1
1
1
1
1
1
1
8
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
4
1
3
1
1
1
1
3
1
6
3
1
3
3
1
1
1
1
5
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
1
1
1
7
1
1
1
3
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
12
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
5
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
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
3
1
1
3
1
5
1
12
1
1
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
1
3
1
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
3
3
1
1
1
1
7
3
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
1
1
1
1
4
5
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
9
1
1
3
1
6
1
4
1
1
1
1
3
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
1
1
1
1
1
1
3
1
1
1
1
1
1
6
3
1
1
1
5
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
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
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
5118
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
5
4
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
38
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
44
3
1
1
1
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
12
6
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
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
16
1
15
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
2
1
5
5
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
1
1
1
1
1
3
3
3
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
5
1
1
1
1
3
1
1
12
3
1
4
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
3
1
1
1
6
1
1
3
1
1
1
1
1
1
1
4
1
1
23
1
1
1
3
1
1
3
3
3
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
7
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
2
1
1
1
3
1
1
1
1
1
1
1
3
42
1
1
1
1
1
4
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
3
1
1
1
9
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
3
1
1
3
4
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
1
3
1
1
1
1
1
1
1
1
1
1
3
1
9
12
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
11
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
5
1
1
1
26
3
1
1
1
5
1
3
1
1
3
1
1
1
1
1
1
14
1
1
1
60
1
4
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
5
1
1
1
1
1
1
1
20
1
1
1
4
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
10
1
1
26
1
1
1
1
3
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
59
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
9
1
1
1
1
1
2
3
7
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
4
3
1
1
1
1
3
3
1
1
1
1
14
1
1
3
1
1
1
1
1
1
1
1
3
1
64
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
4
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
11
1
1
1
1
1
1
5
1
1
1
2
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
3
1
1
1
1
5
3
1
1
1
4
3
1
1
1
7
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
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
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
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
27
1
1
1
1
1
1
10
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
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
3
3
1
1
9
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
3
90
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
5
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
11
1
1
1
1
1
3
1
1
1
1
1
5
1
27
1
1
3
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
9
3
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
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
3
1
1
1
8
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
2
26
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
9
1
1
1
1
1
1
3
1
1
1
3
1
3
1
61
1
2
1
1
1
1
1
1
3
3
1
1
1
3
5
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
17
1
1
3
5
1
1
1
3
4
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
10
1
1
1
1
1
38
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
4
1
4
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
3
3
9
3
1
1
3
3
1
1
3
1
1
3
1
3
1
5
1
1
1
1
1
7
3
1
1
1
1
3
1
1
1
1
6
1
1
2
14
4
3
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
8
5
1
1
3
5
10
5
1
1
1
35
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
7
1
1
3
4
1
5
1
1
1
3
1
1
5
1
3
5
1
1
6
1
1
1
1
1
1
1
1
1
3
5
1
1
3
3
3
1
1
1
1
1
1
1
1
8
1
1
3
1
1
1
1
16
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4143
1
1
3
1
1
1
1
5
1
3
1
1
5
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
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
7
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
7
6
1
1
1
1
1
1
1
3
1
1
1
1
393
1
1
3
1
1
1
5
1
1
3
3
1
1
1
1
1
3
5
9
1
1
7
1
1
1
1
1
3
1
1
1
1
3
5
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
10
3
1
1
1
1
1
28
1
1
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
34
3
1
1
1
1
3
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
9
1
1
1
1
6
1
1
1
1
1
1
1
1
1
8
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
10
7
1
1
1
1
6
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
3
1
3
1
18
1
1
1
1
1
1
3
1
1
1
1
3
8
1
9
1
1
20
1
1
1
3
1
5
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
1
1
13
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
19
1
1
1
3
1
1
1
1
3
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
11
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
3
1
1
1
1
1
1
1
1
3
3
1
5
1
4
1
1
5
1
11
1
8
1
1
1
1
1
1
1
1
1
3
6
1
1
88
1
1
9
1
1
3
8
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
17
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
14
1
1
1
1
3
1
1
12
3
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
3
1
1
1
13
1
1
1
1
3
1
1
2
1
3
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
3
1
1
1
1
1
1
33
1
3
1
1
1
1
5
3
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
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
3
1
3
1
1
1
1
1
1
5
1
1
5
1
1
1
1
8
12
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
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
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
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
1
5
1
1
3
6
1
1
1
3
1
3
1
20
1
1
1
1
1
1
1
5
3
1
3
1
3
1
1
1
1
3
1
1
1
1
7
1
1
3
7
1
1
1
1
4
1
1
1
1
1
1
7
1
1
1
18
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
3
1
1
1
5
1
1
3
1
1
1
1
1
3
3
61
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
8
1
3
1
4
1
1
1
1
1
1
3
1
1
1
14
3
1
1
1
1
1
1
1
1
1
11
1
5
1
1
1
1
3
1
1
1
13
1
1
7
1
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
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
3
3
3
1
3
7
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
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
3
1
9
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
10
1
5
3
3
1
3
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
9
1
3
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
3
5
5
3
1
1
1
1
1
1
1
1
1
1
5
13
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
32
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
22
3
1
1
3
1
1
1
1
5
1
9
1
1
1
1
4
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
10
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
5
1
1
3
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
3
3
1
1
1
5
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
4
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
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
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
8
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
3
5
70
5
1
1
1
7
1
1
10
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
1
3
4
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
9
1
1
1
3
1
1
3
1
3
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
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
4
1
1
1
33
1
5
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
8
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
4
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
4
1
1
1
5
1
1
3
1
3
1
1
1
12
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
32
1
1
1
1
1
1
3
1
1
1
1
1
1
1
22
5
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
5
1
1
1
1
5
12
1
1
1
3
1
7
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
6
7
3
1
1
1
1
3
1
1
1
1
1
1
1
32
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
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
9
1
1
1
3
5
1
3
1
3
1
1
1
7
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
21
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
11
1
1
1
5
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
34
1
3
1
1
5
1
1
3
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
12
3
1
1
3
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
3
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
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
12
1
3
1
1
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
12
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
5
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
3
1
1
1
3
1
3
1
1
5
1
9
3
1
1
3
1
1
10
1
1
5
2
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
4
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
15
1
51
1
1
1
1
13
21
1
3
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
4
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
7
1
3
5
1
90
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
8
5
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
217
3
1
1
1
1
1
2
3
1
1
1
1
5
1
1
1
15
1
1
1
8
3
1
1
1
1
1
1
5
1
1
5
1
3
3
1
1
3
43
1
3
3
1
1
1
3
1
1
22
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
56
1
3
4
1
1
12
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
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
8
5
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
7
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
3
1
1
1
1
1
5
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
47
1
1
3
1
3
1
1
3
1
1
1
3
1
1
60
1
1
1
1
1
3
1
7
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
7
1
32
1
1
1
1
1
1
1
5
1
1
1
1
4
1
5
1
1
5
3
1
1
1
5
1
10
1
1
3
1
3
1
1
1
3
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
85
1
9
1
1
4
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
3
3
1
3
13
1
1
1
1
1
1
1
1
3
4
3
1
1
1
1
1
5
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
1
1
1
35
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
7
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
3
1
7
1
1
1
3
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
6
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
3
1
1
5
1
3
3
3
1
1
3
1
6
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
7
1
1
1
14
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
11
3
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
3
1
1
1
8
1
1
1
1
1
1
3
3
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
3
44
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
1
1
1
1
6
1
604
1
1
3
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
3
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
3
1
1
1
1
1
3
1
5
14
1
1
1
1
1
1
26
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
5
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
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
9
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
11
1
3
3
1
1
1
1
1
52
1
3
1
1
3
2
1
1
3
3
1
1
1
9
1
7
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
5
1
1
1
3
4
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
9
1
1
3
1
5
1
1
1
1
1
1
1
1
35
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
7
3
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
5
1
5
7
1
1
1
1
7
1
1
3
1
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
17
1
1
1
23
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
18
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
9
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
17
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
6
1
1
1
1
1
7
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
3
1
1
1
1
1
3
3
1
1
3
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
14
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
6
12
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
11
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
1
1
4
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
42
1
1
1
5
1
3
3
1
1
3
1
1
1
1
3
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
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
16
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
4
1
1
1
1
1
1
1
3
2
1
3
3
5
1
1
1
1
3
3
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
1
1
1
1
3
1
1
4
1
1
1
5
1
1
3
1
1
1
1
9
1
4
1
1
1
1
3
3
4
1
5
1
1
1
1
1
1
3
26
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
3
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
12
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
6
1
1
2
1
1
3
1
21
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
11
1
1
1
3
1
1
1
1
1
1
1
1
3
1
7
3
1
3
1
3
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
38
1
1
1
1
1
1
1
1
3
1
1
1
7
1
5
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
12
3
7
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
11
1
3
1
1
1
1
6
1
1
1
1
9
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
5
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
3
1
1
1
1
1
3
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
5
5
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
2
3
1
1
5
1
5
1
1
2
9
2
1
1
1
5
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
9
5
1
1
1
8
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
8
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
8
8
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
8
8
5
1
1
1
14
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
4
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
5
1
1
1
3
7
1
3
1
1
1
1
1
1
1
5
1
1
10
1
3
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
10
23
1
15
1
34
5
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
92
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
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
5
1
1
3
1
1
1
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
7
3
1
1
1
1
3
1
6
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
5
1
1
1
3
1
1
1
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
10
1
1
3
1
17
1
1
3
1
1
1
1
1
3
1
3
1
3
17
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
3
1
3
5
5
1
1
3
12
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
6
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
4
1
1
1
1
1
1
20
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
16
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
5
9
1
1
1
1
1
1
12
1
1
1
3
1
1
1
1
1
1
1
56
1
1
1
3
3
1
1
7
1
1
9
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
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
1
1
1
1
6
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
4
1
5
3
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
4
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
10
3
1
3
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
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
10
3
4
1
16
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
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
26
1
16
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
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
5
1
3
1
3
1
6
1
9
1
1
1
1
3
3
1
1
1
1
1
5
6
1
1
3
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
10
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
9
3
3
1
3
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
3
3
3
1
1
1
1
1
1
1
1
24
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
144
1
1
1
1
1
16
3
1
14
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
3
1
1
43
1
1
1
1
1
1
1
1
1
1
1
1
3
1
56
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
3
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
1
24
1
1
1
1
1
3
1
1
1
1
1
7
9
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
18
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
15
1
1
1
1
1
1
1
1
3
9
3
1
1
1
1
1
1
1
3
1
1
4
1
1
1
5
1
1
3
3
1
1
1
1
3
5
1
3
1
3
1
1
1
1
1
1
1
3
3
1
3
1
1
3
1
1
1
1
9
1
5
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
19
1
1
5
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
23
1
1
1
1
1
3
4
3
1
1
1
1
28
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
5
1
1
1
1
1
120
3
1
3
1
1
1
3
3
1
1
46
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
1
1
3
1
1
3
1
1
1
5
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
4
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
3
1
1
10
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
68
1
1
1
1
1
5
3
1
1
1
1
7
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
8
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
42
1
1
1
5
1
3
1
1
1
1
1
1
7
1
1
1
3
3
1
1
1
7
1
1
1
3
1
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
6
1
1
1
3
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
18
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
27
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
4
1
3
1
1
1
6
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
3
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
3
1
1
1
5
10
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
3
1
1
1
1
1
7
1
1
5
5
5
1
1
1
1
1
1
1
1
1
1
3
17
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
80
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
3
1
3
1
4
1
1
1
1
1
3
1
3
1
24
1
1
1
3
13
1
1
1
1
1
1
1
1
1
14
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
8
1
5
1
1
1
1
1
3
1
1
1
3
4
4
1
1
5
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
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
1
1
1
1
1
1
1
3
8
3
3
1
1
1
1
1
22
1
31
1
5
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
27
3
1
1
1
1
6
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
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
22
1
1
3
1
1
6
5
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
3
1
51
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
3
1
1
1
1
100
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
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
4
1
1
13
1
1
3
7
1
1
1
1
1
1
3
1
4
4
1
3
1
1
1
3
1
5
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
4
1
1
1
1
39
1
4
1
1
1
4
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
18
1
1
1
1
1
1
7
4
1
3
1
1
5
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
10
1
15
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
7
1
1
1
1
4
1
1
1
20
1
3
5
3
1
1
1
1
5
1
1
1
1
1
3
1
4
1
74
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
91
1
3
1
1
1
1
1
1
4
1
3
1
1
10
1
1
1
1
1
1
3
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
2
1
12
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
12
1
1
1
1
5
1
1
3
1
1
3
1
1
5
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
9
16
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
20
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
35
3
1
1
1
1
1
1
1
1
3
10
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
13
1
1
1
1
106
1
1
1
1
1
1
1
3
12
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
3
4
1
3
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
185
1
1
1
3
3
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
13
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
3
1
1
1
1
1
1
1
1
25
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
26
3
3
1
1
11
1
1
1
1
5
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
3
1
4
1
1
24
20
1
3
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
3
2
1
1
4
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
26
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
38
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
16
1
1
1
1
1
1
1
1
7
1
1
5
1
1
1
1
1
1
8
3
1
1
1
1
1
1
1
1
1
11
4
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
9
3
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
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
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
14
1
1
1
1
1
3
1
3
1
3
1
1
3
3
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
7
1
1
1
1
16
1
13
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
11
6
3
1
1
1
1
1
1
1
1
1
1
3
1
5
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
5
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
7
1
1
1
1
1
1
1
1
3
3
1
3
1
3
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
9
11
1
1
5
1
1
4
1
1
1
6
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
1
3
3
1
1
1
3
1
3
1
3
1
3
1
5
1
1
1
1
6
5
10
1
1
1
1
14
1
5
1
1
1
1
1
1
1
1
19
1
1
1
5
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
8
1
1
3
1
1
1
1
1
1
5
1
1
20
1
1
3
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
3
1
1
1
1
1
1
1
2
1
1
1
1
1
15
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
5
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
8
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
44
1
3
1
3
3
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
5
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
3
1
1
1
1
1
118
1
1
1
1
3
1
1
1
1
1
1
1
14
1
28
1
5
1
1
1
1
1
95
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
60
3
1
5
1
1
1
4
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
6
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
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
32
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
4
5
3
1
1
1
1
1
23
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
16
1
1
1
1
1
1
3
1
1
1
24
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
3
4
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
5
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
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
8
1
1
1
1
3
1
23
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
7
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
3
1
1
1
26
14
1
1
1
3
1
1
3
1
1
1
1
1
1
2
3
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
5
1
1
1
1
1
2
5
1
1
84
1
38
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
7
1
5
1
1
1
1
1
3
1
1
1
3
3
1
1
32
1
1
3
1
1
1
1
1
1
1
1
1
3
1
4
1
5
1
3
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
6
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
7
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
6
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
3
1
1
26
1
1
1
7
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
177
3
1
10
1
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
491
1
1
1
1
1
1
1
5
1
3
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
58
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
7
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
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
12
1
3
1
1
1
1
1
1
3
2
1
7
1
1
3
1
1
1
14
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
4
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
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
3
5
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
12
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
3
9
3
1
1
4
1
1
1
1
1
1
1
1
3
1
3
1
3
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
5
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
3
1
1
3
1
1
1
1
3
5
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
3
3
1
4
7
1
1
1
4
3
1
3
3
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
23
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
3
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
3
3
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
20
1
1
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
7
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
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
3
3
3
1
1
44
1
1
1
1
1
1
3
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
5
1
1
7
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
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
206
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
5
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
3
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
8
1
7
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
1
3
1
3
1
3
5
1
1
1
3
1
3
1
1
7
1
5
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
240
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
4
1
2
5
1
1
7
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
20
2
1
1
2
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
3
12
3
1
5
1
1
1
1
3
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
9
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
5
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
14
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
23
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
5
1
1
1
11
15
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
5
54
4
1
3
1
1
1
5
9
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
3
1
1
4
36
1
3
1
1
3
3
3
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
3
1
9
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
6
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
13
1
1
1
1
5
1
1
3
9
1
1
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
3
1
18
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
12
70
1
1
8
5
1
3
1
1
1
1
1
1
1
1
1
3
9
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
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
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
5
40
1
1
1
4
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
2
1
2
1
1
1
1
1
1
1
16
1
1
1
1
11
1
7
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
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
80
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
5
1
1
3
1
3
1
1
3
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
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
18
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
3
3
4
1
3
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
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
9
3
1
1
1
1
1
1
1
3
1
17
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
5
5
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
3
5
1
1
1
1
1
3
1
1
1
1
1
1
5
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
1
1
11
1
6
1
1
1
1
1
1
3
3
1
1
1
1
1
1
9
1
1
1
3
5
1
1
1
1
1
124
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
8
1
1
1
3
3
1
1
1
1
1
106
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
3
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
20
1
1
13
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
7
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
11
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
3
1
1
1
1
9
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
8
3
1
5
3
1
1
1
5
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
2
1
1
1
1
1
5
1
1
5
1
1
1
3
1
1
1
1
1
1
1
5
3
3
1
1
1
3
1
1
1
1
3
1
1
3
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
3
3
4
5
53
1
1
1
24
1
3
1
1
1
1
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
11
1
1
1
3
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
45
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
3
11
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
8
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
56
1
5
1
6
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
13
1
2
3
1
1
3
1
1
1
13
3
1
1
128
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
5
5
3
8
3
3
7
1
1
1
1
3
1
1
1
1
5
3
1
7
1
1
3
1
1
1
3
1
1
1
1
1
1
3
5
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
1
3
5
1
1
1
1
3
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
10
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
8
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
5
1
5
1
1
1
10
1
1
1
1
4
1
3
1
1
3
1
1
1
1
4
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
4
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
34
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
3
11
1
13
3
1
1
1
3
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
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
5
3
3
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
6
1
1
1
1
1
1
1
1
1
1
5
3
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
6
3
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
3
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
5
3
3
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
9
1
3
1
5
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
6
1
1
1
8
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
37
10
3
1
1
5
1
1
1
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
22
1
1
1
1
3
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
11
3
107
1
1
3
1
1
3
167
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
10
2
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
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
17
3
39
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
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
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
5
1
2
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
1
8
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
3
1
1
6
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
8
1
1
3
3
1
1
1
1
1
1
3
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
26
1
5
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
3
1
5
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
2
3
1
5
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
14
1
1
1
5
1
1
1
1
1
1
1
12
18
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
9
1
1
1
1
1
5
1
1
1
5
1
3
3
1
1
1
1
1
3
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
3
1
1
1
3
3
1
1
1
1
64
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
5
1
3
1
1
3
1
3
1
1
3
1
1
1
5
1
3
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
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
190
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
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
3
3
1
1
1
1
1
1
1
1
3
1
1
3
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
11
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
10
1
3
1
1
5
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
3
5
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
6
5
12
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
10
3
1
1
1
1
1
1
8
1
3
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
14
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
29
1
1
1
1
3
1
1
1
1
11
1
1
1
7
1
3
1
1
1
1
1
3
1
1
5
1
3
1
4
1
3
1
1
1
1
1
1
1
1
5
1
1
4
1
5
5
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
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
1
1
1
1
1
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
1
1
84
1
1
3
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
3
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
4
1
21
1
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
54
5
1
1
1
1
3
1
1
15
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
5
3
3
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
82
1
1
1
1
1
1
7
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
30
1
3
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
569
1
13
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
3
3
1
1
1
1
3
3
1
1
3
5
1
1
20
1
1
1
11
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
3
1
1
3
1
1
3
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
7
1
1
1
1
4
1
1
1
1
2
1
1
22
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
10
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
4
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
3
1
1
5
1
1
23
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
14
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
7
1
1
3
1
1
1
1
5
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
20
1
6
1
1
1
6
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
18
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
14
1
5
1
3
4
1
1
1
1
1
1
5
1
1
1
1
1
6
1
11
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
87
1
1
5
1
1
1
1
1
1
3
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
4
28
1
1
5
20
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
2
1
1
1
1
1
12
2
1
1
1
1
3
1
20
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
3
1
1
1
1
1
9
1
6
1
1
3
5
4
1
1
1
3
1
35
5
3
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
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
5
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
3
1
1
1
2
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
1
1
1
3
1
1
3
1
137
2
1
1
11
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
8
1
3
1
1
1
1
1
1
1
6
1
1
39
3
1
6
1
1
1
1
1
1
5
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
1
1
1
1
1
1
9
1
1
1
4
1
1
1
1
3
3
1
1
3
7
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
110
1
5
1
1
1
3
1
1
5
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
3
1
3
3
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
11
1
1
4
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
11
1
1
1
1
1
1
7
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
3
4
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
8
1
1
1
3
1
3
1
3
1
1
4
1
1
5
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
1
4
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
4
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
11
1
1
1
1
1
1
1
5
1
3
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
3
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
1
1
1
1
3
3
1
1
1
5
7
1
1
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
5
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
1
1
1
1
3
5
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
3
1
1
1
1
1
1
1
1
98
1
9
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
3
1
16
3
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
33
1
1
1
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
36
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
5
1
1
1
1
4
21
1
1
1
7
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
5
1
1
27
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
22
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
5
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
5
1
1
1
1
1
1
1
1
1
31
1
1
3
1
1
1
1
1
7
1
1
3
1
3
3
9
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
38
3
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
6
4
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
258
1
1
1
1
6
1
1
1
1
1
5
1
1
1
1
1
24
3
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
8
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
29
3
1
9
1
1
1
1
1
1
1
1
1
73
1
3
3
19
1
1
1
7
1
1
1
5
1
3
1
182
1
1
5
1
1
1
1
1
1
1
1
1
8
1
25
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
3
1
3
1
3
1
1
2
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
3
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
8
1
1
1
1
3
1
1
5
9
3
1
1
1
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
11
1
1
1
1
1
3
8
1
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
8
1
1
1
4
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
10
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
3
1
68
50
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
11
1
5
1
1
1
1
3
3
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
10
1
1
1
1
1
1
1
1
1
6
1
1
1
1
16
5
1
12
1
1
1
10
1
1
1
7
1
1
1
1
4
4
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
3
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
42
1
1
1
3
1
168
1
3
1
1
29
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
6
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
3
1
1
1
35
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
636
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
22
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
15
3
1
1
1
1
1
5
3
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
188
3
3
1
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
1
1
3
9
1
6
1
1
3
1
16
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
7
1
64
1
1
1
1
3
1
1
4
3
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
3
7
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
1
1
1
1
1
1
1
3
1
9
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
7
1
1
3
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
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
7
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
12
1
1
1
3
1
1
1
1
7
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
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
129
8
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
5
1
1
1
3
1
1
1
3
1
1
40
1
1
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
5
1
1
5
1
1
3
1
1
3
1
4
1
1
1
1
5
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
3
5
1
3
1
3
1
1
1
1
7
1
1
1
1
1
7
1
1
36
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
3
1
3
13
1
1
1
1
1
3
1
3
1
1
1
3
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
21
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
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
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
7
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
10
1
1
1
1
4
10
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
4
1
1
1
1
1
10
1
1
3
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
13
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
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
5
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
3
1
8
1
3
3
3
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
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
1
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
26
4
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
3
1
1
3
1
1
30
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
4
1
1
1
6
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
16
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
14
1
3
1
12
1
1
3
1
1
2
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
28
3
3
4
1
1
244
1
1
1
1
1
1
1
1
1
3
5
3
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
12
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
1
7
1
1
5
4
1
1
1
6
1
1
1
1
5
1
1
1
1
1
4
1
1
5
1
1
1
1
3
24
1
3
12
1
3
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
8
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
5
1
1
1
1
1
60
1
1
7
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
1
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
28
3
3
1
1
1
4
1
1
1
5
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
4
1
1
6
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
79
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
3
1
1
1
3
4
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
7
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
3
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
3
1
1
3
1
4
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
4
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
3
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
3
3
1
1
3
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
14
1
1
1
3
1
1
1
7
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
7
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
9
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
12
1
6
3
18
1
1
1
3
1
1
1
1
1
1
1
2
1
5
1
1
3
1
1
1
1
1
1
1
1
11
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
5
1
3
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
3
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
3
3
1
1
1
1
1
99
1
1
1
3
1
1
3
3
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
4
1
5
3
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
3
1
1
1
1
1
1
1
1
3
4
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
1
1
1
3
5
1
1
90
1
1
3
3
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
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
3
1
1
1
1
1
1
3
3
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
3
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
3
9
3
5
1
1
5
1
14
1
1
1
1
2
2
3
1
1
1
3
1
3
6
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
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
4
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
3
33
1
1
41
1
1
1
1
1
1
1
1
50
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
20
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
3
3
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
10
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
109
1
1
1
7
1
1
11
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
9
3
1
8
1
1
1
5
1
1
1
1
1
1
1
3
3
7
1
3
1
1
3
3
1
1
1
1
3
1
1
1
5
1
1
5
1
1
4
1
3
1
1
5
1
8
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
4
1
1
3
1
1
1
3
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
3
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
94
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
4
1
1
1
1
5
3
3
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
72
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
71
6
1
1
1
3
1
4
1
1
3
1
5
1
1
4
1
1
1
14
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
7
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
1
3
1
1
1
1
5
1
1
8
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
4
8
1
1
1
1
1
8
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
20
7
7
1
3
1
1
1
1
1
1
3
44
1
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
123
3
1
1
1
1
1
1
1
3
1
1
1
12
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
3
1
7
1
1
1
3
1
1
1
1
1
1
1
1
3
1
6
1
1
3
1
1
1
2
1
1
3
1
3
1
2
1
1
1
1
3
1
1
1
1
60
1
1
1
5
1
1
2
1
1
1
1
4
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
3
1
1
1
10
1
1
1
3
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
10
3
1
1
1
1
3
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
9
4
1
1
1
12
1
1
1
1
1
1
1
7
1
1
7
1
1
1
1
1
1
3
11
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
3
3
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
3
16
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
66
1
3
5
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
7
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
24
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
3
1
1
1
5
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
5
1
4
1
3
1
1
1
5
1
1
1
1
1
1
1
3
4
3
4
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
23
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
4
1
1
5
1
1
74
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
4
1
1
14
1
1
1
1
7
1
3
1
1
1
1
3
1
1
3
1
1
1
3
1
18
1
3
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
3
3
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
3
5
3
1
1
5
3
1
1
2
3
3
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
24
3
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
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
4
1
3
1
3
3
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
20
1
3
13
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
35
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
10
1
1
1
1
34
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
4
1
1
14
1
1
1
1
1
4
1
10
1
1
1
1
1
1
3
1
1
488
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
4
1
1
3
1
1
3
1
1
1
1
1
5
1
1
22
1
1
1
1
3
9
1
1
1
5
1
1
1
2
7
1
1
3
1
1
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
10
1
1
1
16
1
16
3
1
1
1
3
5
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
4
1
1
9
3
1
1
10
1
3
1
1
1
1
1
1
1
1
6
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
174
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
3
3
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
3
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
7
1
3
3
1
1
1
1
5
1
3
15
1
1
1
1
4
1
1
1
1
1
3
1
1
1
5
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
3
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
68
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
19
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
125
1
1
3
77
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
5
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
23
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
25
1
4
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
17
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
269
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
28
1
1
1
1
1
1
1
5
3
3
1
1
3
1
1
1
6
1
1
1
1
1
47
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
1
1
22
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
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
1
35
1
1
1
3
1
1
1
3
1
7
3
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
50
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
3
3
1
1
1
1
1
1
1
954
11
5
5
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
43
3
1
1
1
1
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
5
1
1
3
1
1
28
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
5
4
1
4
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
4
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
12
1
1
1
3
1
1
1
1
1
11
7
9
3
5
1
13
1
1
3
2
3
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
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
5
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
5
1
1
1
2
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
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
4
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
3
1
1
1
3
3
1
1
1
3
3
1
5
3
1
1
1
1
7
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
2
1
1
1
3
1
6
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
3
3
1
7
1
1
1
1
1
1
1
3
1
1
1
16
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
4
1
1
1
3
4
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
3
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
1
1
1
1
1
1
1
5
1
1
1
1
1
1
4
1
2
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
48
1
1
4
1
1
3
1
3
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
10
1
1
1
1
1
3
1
3
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
17
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
4
1
1
3
1
13
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
4
3
58
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
3
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
13
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
8
1
1
1
1
1
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
6
1
1
3
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
3
1
1
3
1
11
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
1
4
1
1
1
3
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
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
1
1
1
1
1
1
1
1
1
1
1
4
3
1
12
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
62
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
17
1
1
9
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
8
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
14
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
9
1
1
3
1
1
1
2
1
3
1
5
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
5
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
3
3
1
1
1
1
1
1
1
3
1
3
1
16
1
1
1
3
3
1
1
1
60
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
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
2
1
1
3
1
1
1
13
1
1
1
1
1
2
1
16
9
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
7
1
3
3
1
1
2
1
1
1
1
1
1
1
1
16
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
158
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
39
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
7
1
1
1
1
5
5
1
1
1
1
2
1
3
1
1
1
1
7
3
1
1
1
1
3
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
56
1
1
5
4
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
6
1
5
5
1
12
1
1
1
1
1
4
1
1
7
1
10
1
2
12
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
7
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
78
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
9
1
1
5
1
5
1
1
3
1
1
1
1
1
1
1
1
5
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
1
3
1
1
1
1
1
1
1
10
3
3
1
1
1
1
3
1
1
8
1
1
1
1
7
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
14
1
3
1
1
1
3
1
1
1
14
1
1
4
5
1
1
1
1
3
1
3
3
1
1
3
1
1
3
1
1
1
3
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
5
1
1
1
1
5
1
1
1
1
1
1
4
1
1
3
1
1
1
1
8
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
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
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
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
6
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
18
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
6
1
1
1
1
3
1
1
1
1
1
3
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
3
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
3
1
5
1
1
1
1
1
5
1
7
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
3
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
16
1
1
1
6
1
3
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
3
1
1
1
1
1
1
3
1
1
7
1
1
3
1
1
1
1
1
1
1
1
4
1
1
3
1
1
3
1
1
1
3
1
1
1
11
2
1
3
3
1
3
3
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
3
1
1
1
3
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
3
1
1
3
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
7
1
3
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
3
1
3
6
1
1
1
1
3
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
1
1
5
1
7
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
3
1
1
1
1
1
1
1
3
3
8
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
4
3
5
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
3
9
1
1
1
3
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
1
1
11
1
11
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
5
1
1
3
1
42
3
1
1
1
1
1
1
1
2
64
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
22
1
1
5
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
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
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
10
1
20
1
3
1
1
1
7
1
1
1
1
1
1
1
1
2
5
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
8
1
5
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
3
4
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
8
1
1
1
1
3
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
3
1
1
1
1
1
1
1
5
1
1
7
1
1
1
1
3
1
1
1
1
1
3
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
1
1
1
1
1
1
1
1
1
1
3
3
20
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
5
1
3
1
3
1
1
3
1
1
9
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
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
6
1
1
1
1
1
1
1
3
1
1
3
1
1
3
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
3
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
1
5
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
6
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
3
3
1
5
246
1
3
3
1
3
1
1
5
1
5
1
1
1
3
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
11
1
1
3
1
1
1
3
1
1
1
1
1
3
7
3
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
24
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
1
1
7
2
1
1
1
5
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
1
5
7
1
7
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
3
3
1
8
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
4
1
1
16
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
11
1
12
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
33
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
3
1
1
9
1
1
1
1
1
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
1
1
1
1
1
1
3
1
1
3
3
1
1
3
1
1
1
1
1
1
3
4
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
14
1
89
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
40
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
3
4
1
3
1
16
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
8
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
14
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
10
1
1
1
1
1
1
1
3
12
1
1
1
1
5
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
3
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
3
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
8
1
1
1
1
1
1
1
13
1
1
6
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
3
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
7
3
1
1
1
1
1
3
1
40
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
6
1
1
1
3
1
1
1
1
3
1
1
62
1
1
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
12
3
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
24
1
1
5
1
1
9
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
4
1
1
1
1
3
1
3
1
1
16
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
5
1
1
1
1
1
3
3
1
1
1
5
1
1
3
1
1
1
1
1
1
7
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
9
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
8
3
1
1
1
1
1
1
1
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
1
1
1
1
1
3
1
1
1
43
1
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
1
1
219
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
9
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
12
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
3
1
2
1
9
3
1
1
8
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
4
3
3
1
1
1
1
1
1
1
1
7
1
1
18
1
1
1
1
1
3
5
22
3
1
3
1
1
24
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
5
3
7
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
10
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
3
3
1
1
1
1
9
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
34
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
7
1
1
3
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
8
6
1
3
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
8
1
4
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
4
2
1
1
1
3
3
1
1
4
5
32
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
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
6
1
1
1
1
1
1
1
1
1
1
1
1
173
1
1
3
1
1
1
1
1
1
4
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
25
1
1
1
1
7
1
1
1
3
3
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
6
3
7
7
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
9
1
36
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
11
1
1
36
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
16
1
1
3
1
1
1
1
1
1
58
1
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
16
1
3
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
2
1
1
1
3
1
1
1
210
1
1
1
1
1
1
1
1
1
1
1
1
22
1
1
5
2
3
3
3
1
3
2
1
1
1
1
1
3
1
3
1
10
1
1
1
1
1
5
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
10
1
3
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
3
2
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
11
1
5
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
16
3
2
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
1
1
1
3
13
3
1
1
1
1
1
5
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
4
3
3
1
1
5
1
1
1
1
3
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
5
1
1
1
1
22
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
3
1
1
1
1
1
1
3
1
1
1
3
1
2
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
21
1
3
1
1
1
1
4
3
1
1
1
1
1
1
3
1
1
2
1
3
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
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
1
1
3
1
18
1
3
1
1
3
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
52
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
2
1
1
1
1
1
1
231
1
5
3
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
5
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
13
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
6
1
5
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
3
1
14
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
5
3
1
1
27
1
1
1
1
1
1
1
2
3
1
3
1
1
1
3
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
3
1
1
1
3
1
5
1
5
1
1
7
1
1
12
1
3
1
1
7
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
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
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
3
3
1
1
1
5
1
1
3
5
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
70
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
6
6
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
3
1
10
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
3
1
14
3
1
1
1
1
1
1
26
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
3
1
5
5
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
2
3
3
1
1
1
1
1
1
6
5
1
1
1
1
3
1
6
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
9
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
80
1
1
1
1
1
1
3
9
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
4
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
4
1
13
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
3
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
1
9
3
1
2
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
15
1
4036
1
1
1
3
1
1
1
1
7
7
1
1
3
1
1
1
1
5
1
1
3
1
5
1
3
5
1
1
1
1
1
1
1
3
1
3
1
1
3
3
6
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
44
3
76
1
1
3
1
14
3
1
3
1
1
1
1
1
1
13
1
1
3
1
1
1
1
5
3
1
1
1
3
1
1
5
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
9
5
1
2
3
1
1
3
9
4
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
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
5
1
1
1
1
1
1
1
1
22
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
13
1
1
1
1
1
5
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
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
10
5
1
1
3
1
1
3
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
15
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
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
52
1
11
1
1
1
1
1
1
1
3
30
1
27
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
5
1
3
1
5
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
91
1
8
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
13
3
1
1
1
1
7
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
276
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
1
3
1
1
26
1
1
1
1
1
1
11
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
5
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
19
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
32
1
1
28
1
1
1
1
1
1
5
1
1
1
1
1
3
1
3
4
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
18
1
1
1
1
1
1
1
4
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
7
3
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
3
1
2
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
3
1
1
3
11
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
3
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
11
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
14
1
1
11
1
28
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
4
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
3
16
4
1
1
3
1
1
1
3
1
1
1
3
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
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
106
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
1
1
1
4
5
3
1
1
1
3
3
8
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
23
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
5
1
6
5
1
1
1
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
3
7
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
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
4
1
1
7
7
1
8
1
1
1
1
13
1
1
1
1
1
1
5
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
1
1
4
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
3
7
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
12
3
1
3
1
1
1
6
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
15
3
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
3
3
3
1
1
3
1
1
1
1
1
1
1
5
1
1
1
7
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
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
10
1
5
3
1
1
3
1
1
1
1
3
4
1
5
1
5
1
1
1
1
1
1
1
5
1
3
3
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
3
6
1
1
3
1
1
3
1
62
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
2
1
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
3
1
3
1
3
1
7
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
27
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
210
1
1
1
9
1
4
1
3
1
1
8
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
10
5
1
1
1
132
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
10
1
1
5
3
3
3
1
1
3
1
1
2
1
9
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
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
5
1
1
3
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
5
5
1
1
1
1
1
4
5
1
1
1
1
3
17
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
1
1
3
1
7
1
44
1
1
1
1
1
1
21
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
8
3
1
1
1
3
5
1
1
1
3
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
5
9
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
10
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
3
1
1
1
1
16
1
1
3
1
1
1
1
1
1
9
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
138
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
10
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
33
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
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
6
26
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
5
1
3
3
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
3
1
1
1
3
1
1
1
3
30
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
17
1
1
1
1
6
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
3
3
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
6
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
1
24
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
4
1
1
1
1
1
1
8
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
1
1
1
5
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
3
3
3
15
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
170
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
8
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
66
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
14
1
1
1
1
5
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
7
1
1
1
1
4
3
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
6
1
1
3
3
1
1
1
1
8
7
1
3
1
1
1
3
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
25
1
1
3
1
1
1
3
1
37
1
1
1
1
1
1
1
10
7
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
3
1
57
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
11
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
22
1
1
4
1
1
3
1
1
3
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
21
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
9
1
3
1
2
1
1
1
1
1
3
3
3
1
3
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
20
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
3
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
3
1
1
1
1
1
1
3
11
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
13
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
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
7
3
1
16
1
1
3
1
1
1
1
1
1
3
1
1
1
3
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
1
1
1
5
1
1
1
1
7
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
3
4
1
4
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
6
4
1
1
1
5
3
26
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
3
2
1
5
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
9
3
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
3
1
1
3
1
5
1
1
1
1
3
1
11472
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
6
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
3
1
1
9
1
1
1
5
1
1
17
15
1
3
3
1
5
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
6
3
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
7
1
3
1
1
1
1
1
1
110
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
6
1
11
1
1
1
1
1
1
1
1
7
1
5
1
1
1
1
1
7
3
1
1
1
5
1
2006
1
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
79
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
5
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
9
1
1
1
5
1
3
3
1
3
1
1
3
3
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
4
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
61
1
1
1
3
3
1
3
1
18
1
1
4
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
1
3
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
4
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
5
1
1
3
1
1
3
1
1
1
1
94
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
25
1
1
3
1
19
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
8
1
1
30
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
23
1
1
1
1
1
1
3
4
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
34
1
1
3
1
1
1
104
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
28
1
1
1
5
1
1
6
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
3
3
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
5
1
1
1
1
3
1
1
1
1
3
1
8
1
1
1
1
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
1
1
4
3
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
3
1
1
1
1
3
2
1
1
1
1
2
3
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
24
1
44
1
1
3
1
1
1
4
1
8
32
1
1
2
1
1
1
5
1
1
1
1
1
1
3
1
3
1
1
3
3
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
12
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
84
1
1
1
2
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
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
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
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
144
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
7
1
1
3
1
59
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
3
3
1
1
6
1
3
3
1
1
1
1
4
3
1
4
1
1
1
1
1
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
3
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
4
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
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
3
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
6
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
20
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
3
3
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
7
1
3
1
1
5
1
1
3
1
7
1
1
1
1
1
36
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
11
3
1
1
5
1
1
1
1
1
1
1
1
1
1
80
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
5
1
1
3
1
3
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
1
1
3
1
1
1
15
1
3
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
13
3
1
1
1
1
1
1
1
3
1
8
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
5
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
76
1
1
1
1
15
1
1
3
1
3
3
1
1
1
1
1
2
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
3
16
3
1
3
1
1
1
1
1
1
1
1
3
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
3
1
8
3
1
1
3
4
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
3
3
1
1
1
1
3
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
3
1
3
1
5
3
3
1
3
3
4
1
1
1
3
1
1
3
1
1
3
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
114
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
16
1
3
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
7
1
1
1
1
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
3
1
22
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
9
11
1
1
1
3
1
3
6
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
4
1
1
1
1
2
3
1
1
1
1
1
3
3
3
30
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
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
1
1
1
1
1
1
1
1
1
16
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
26
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
3
1
5
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
25
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
3
1
19
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
34
1
1
6
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
8
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
1
7
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
66
1
1
1
1
3
1
1
1
1
2
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
5
1
7
1
1
1
1
1
3
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
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
9
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
9
1
5
1
1
1
1
3
1
1
1
1
1
1
74
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
17
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
5
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
4
5
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1235
3
1
1
1
1
1
4
1
1
1
22
1
1
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
3
1
12
6
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
9
1
1
1
1
1
1
5
1
5
1
1
1
9
1
1
1
1
1
1
1
1
3
17
1
5
1
1
1
1
1
1
1
1
1
25
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
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
9
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
9
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
3
1
1
12
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
3
81809
1
3
1
1
3
1
6
8
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
5
1
1
1
1
1
9
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
14
1
1
3
1
1
27
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
2
5
1
1
1
1
1
1
3
1
1
3
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
137
1
1
3
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
3
1
15
1
1
1
24
3
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
5
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
42
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
4
1
1
3
1
9
8
1
1
3
1
54
1
1
1
1
3
6
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
7
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
3
1
1
3
1
1
5
1
1
3
3
1
3
3
3
3
15
1
10
5
1
1
1
1
3
3
1
1
1
2
1
1
1
3
1
1
1
13
1
1
1
1
1
1
1
5
1
1
1
1
7
1
1
7
1
1
1
1
1
1
1
1
1
1
6
1
1
1
5
1
1
1
1
1
1
1
1
1
3
8
1
11
1
1
1
74
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
34
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
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
13
1
1
3
1
7
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
16
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
5
1
1
5
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
6
1
1
16
1
1
1
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
7
8
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
7
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
3
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
4
1
32
1
1
3
1
1
15
1
1
1
3
1
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
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
583
1
3
1
1
3
1
3
1
1
1
3
13
1
3
18
1
1
6
1
1
3
5
1
1
1
1
1
1
5
1
4
1
1
1
1
2
1
7
1
1
1
1
1
1
5
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
226
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
8
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
5
10
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
6
1
1
4
1
1
3
1
1
1
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
7
1
18
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
5
1
1
1
17
1
1
3
5
1
1
14
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
5
3
1
3
3
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
5
1
5
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
3
1
3
1
1
15
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
14
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
3
5
1
1
6
1
1
15
3
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
11
1
3
3
3
1
1
3
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
8
1
1
1
1
1
1
1
1
1
1
5
1
1
3
4
1
3
3
1
1
3
1
1
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
63
1
1
1
4
1
3
1
1
5
1
1
1
1
3
1
1
3
1
3
1
3
1
1
1
1
5
34
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
8
1
3
1
3
1
1
1
1
1
1
1
4
6
1
1
22
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
8
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
4
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
5
1
1
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
4
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
5
1
1
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1764
1
5
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
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
2
1
5
1
1
1
1
1
3
9
1
1
3
1
1
1
3
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
3
3
1
1
1
1
3
1
11
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
9
3
7
1
1
1
1
1
1
1
5
3
1
3
1
5
1
1
1
1
1
1
3
21
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
9
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
2
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
8
1
3
1
1
1
1
1
3
1
112
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
5
1
1
5
1
1
1
3
1
10
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
9
3
1
3
1
5
1
1
1
1
1
1
1
1
1
3
3
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
3
3
3
1
1
1
1
5
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
4
3
4
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
14
1
3
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
90
1
3
40
1
15
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
138
1
3
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
3
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
5
1
1
2
1
1
1
5
1
1
3
1
3
1
25
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
6
1
1
1
1
1
5
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
11
1
1
3
1
1
1
1
3
1
1
5
5
1
1
3
1
1
3
63
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
28
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
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
5
3
1
1
1
1
1
1
3
1
1
1
5
12
1
5
1
1
5
1
1
1
1
1
1
5
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
5
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
4
1
3
1
3
3
1
3
1
5
1
1
1
1
3
1
9
1
1
1
5
1
1
1
1
1
1
3
1
4
1
1
1
1
1
3
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
9
5
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
39
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
4
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
3
1
3
3
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
3
1
2
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
5
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
3
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
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
3
1
3
1
6
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
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
7
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
5
1
1
11
3
1
1
1
1
7
3
1
1
1
1
1
1
4
1
1
3
1
12
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
16
32
1
1
1
1
1
1
1
1
3
11
1
1
1
1
18
8
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
3
3
1
1
1
1
1
1
1
3
34
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
5
1
3
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
9
1
1
1
1
1
1
1
12
1
19
1
17
1
3
1
1
5
1
4
1
1
4
85
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
5
3
1
1
1
5
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
20
1
1
1
1
1
1
1
1
4
5
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
260
1
3
1
1
17
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
2
8
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
19
1
1
1
1
1
1
1
1
1
3
1
1
20
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
26
3
24
1
5
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
20
3
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
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
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
5
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
1
12
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
8
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
4
3
1
1
1
1
1
1
1
1
4
7
1
1
1
15
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
24
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
3
3
5
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
9
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
146
1
1
1
1
1
1
1
1
1
1
1
1
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
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
8
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
4
5
1
1
1
1
1
1
1
1
1
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
1
1
1
1
5
1
1
3
1
5
1
1
536
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
3
1
8
14
3
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
11
1
1
1
1
18
203
5
1
1
1
1
1
1
1
1
1
1
1
1
42
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
3
34
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
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
69
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
12
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
18
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
1
1
29
1
1
1
1
1
12
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
16
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
7
1
5
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
4
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
5
46
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
3
1
9
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
90
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
72
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
3
1
1
1
1
1
3
3
5
1
1
3
3
6
1
1
1
1
1
1
7
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
40
26
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
7
1
3
1
1
1
3
3
3
1
1
1
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
5
1
1
3
1
1
5
1
1
1
1
1
1
3
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
3
1
1
1
3
3
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
1
6
1
4
1
4
9
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
29
1
3
5
6
1
1
1
3
1
3
1
1
1
1
42
1
1
3
1
1
15
1
1
1
3
1
1
4
1
1
1
3
1
1
1
1
1
1
3
1
127
4
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
66
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
6
1
1
3
1
1
1
5
1
1
35
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
51
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
3
1
4
1
3
1
1
1
1
1
3
4
1
1
5
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
7
1
1
1
1
24
1
1
1
15
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
13
1
3
1
1
1
1
7
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
19
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
27
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
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
1
1
3
1
1
2
30
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
10
1
1
3
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
35
3
1
1
1
1
1
1
3
1
1
6
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
5
1
1
1
1
11
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
3
1
1
10
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
7
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
3
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
1
1
3
1
1
1
3
8
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
4
1
3
3
616
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
10358
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
5
5
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
10
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
5
37
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
9
1
1
1
1
1
3
1
3
1
1
5
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
3
1
1
1
1
1
1
5
1
1
33
5
1
1
1
1
1
67
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
3
3
1
1
5
1
1
1
1
1
1
6
1
1
1
5
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
5
1
21
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
1
1
3
1
1
1
1
6
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
3
1
3
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
16
1
7
1
1
1
1
4
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
6
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
3
1
1
96
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
18
1
1
1
3
3
5
3
1
5
1
1
1
1
1
12
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
6
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
3
1
4
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
3
1
4
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
4
1
1
1
1
4
5
3
1
1
3
1
1
1
1
1
1
1
1
4
3
1
1
3
1
1
1
15
9
1
1
1
1
1
1
1
1
11
163
1
16
1
1
1
1
1
1
1
3
1
1
1
1
47
3
1
1
1
1
1
1
1
1
3
75
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
14
1
1
3
1
1
1
1
1
3
1
1
1
1
2
3
1
5
46
1
1
1
1
3
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
5
330
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
5
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
76
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
5
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
3
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
12
1
3
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
3
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
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
3
38
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
3
3
1
5
1
1
1
99
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
39
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
5
1
14
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
5
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
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
3
2
3
1
1
1
3
1
1
1
1
1
1
1
4
1
1
3
3
7
1
1
24
1
13
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
28
1
1
1
3
1
3
1
1
6
3
1
1
1
1
3
1
1
1
3
5
1
1
460
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
3
7
1
3
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
12
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
3
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
56
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
3
3
1
1
3
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
14
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
7
3
1
1
1
1
7
1
1
1
1
22
3
1
3
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
8
1
3
1
1
3
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
2
1
1
1
5
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
5
1
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
4
1
4
1
1
1
1
1
6
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
1
1
1
1
1
1
1
1
3
3
5
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
3
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
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
1
1
1
5
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
9
1
7
1
3
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
7
1
3
3
1
1
3
1
1
1
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
3
1
3
3
1
1
3
3
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
9
1
5
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
4
5
1
1
1
1
1
1
1
1
1
5
3
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
6
1
1
3
1
1
3
1
1
1
5
3
1
1
1
1
1
1
3
1
1
3
1
1
1
3
3
1
3
1
1
1
1
3
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
6
1
1
1
1
1
1
13
3
1
1
1
1
1
22
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
9
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
3
1
1
1
3
1
1
5
5
1
1
1
1
13
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
20
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
40
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
8
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
3
1
3
3
5
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
5
1
1
1
1
10
1
1
6
1
1
1
261
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
1
1
1
1
11
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
3
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
59
5
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
4
3
10
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
22
1
1
1
1
1
7
1
3
3
1
3
3
1
1
1
7
1
1
1
1
1
5
3
1
3
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
9
1
1
4
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
1
1
9
1
1
3
4
1
4
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
76
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
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
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
29
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
5
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
3
1
1
1
3
1
1
7
11
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
8
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
5
5
1
4
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
7
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
3
1
1
3
1
16
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
66
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
5
1
1
3
1
3
13
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
3
7
1
1
1
5
1
12
1
1
1
4
1
1
1
1
5
3
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
56
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
7
1
5
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
8
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
26
1
1
1
1
3
1
1
1
1
1
3
3
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
6
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
16
1
1
1
3
1
12
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
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
36
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
6
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
8
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
22
10
1
1
1
1
1
1
1
1
1
1
1
3
1
5
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
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
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
8
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
1
18
1
3
1
1
1
1
1
1
1
1
1
1
1
7
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
3
1
1
1
18
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
3
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
24
1
1
1
3
1
1
1
1
3
1
1
1
20
3
1
1
1
1
1
1
1
1
3
2
26
1
3
1
1
1
1
1
1
1
1
1
38
1
1
3
1
1
1
160
11
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
3
1
1
5
3
1
3
1
1
1
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
1
45
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
1
3
1
3
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
3
1
4
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
5
1
1
5
16
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
3
1
3
1
3
11
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
8
1
1
1
1
1
4
1
3
1
1
1
1
1
1
4
16
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
8
1
1
3
1
1
1
1
1
5
3
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
5
1
1
3
1
1
3
3
1
3
1
1
6
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
28
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
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
3
1
1
1
1
3
1
1
1
5
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
2
3
1
9
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
3
3
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
5
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
3
1
1
6
1
1
3
1
1
1
3
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
3
1
1
1
8
1
1
5
1
1
1
1
1
1
1
1
1
5
3
10
1
3
1
1
1
6
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
8
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
16
1
1
1
1
5
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
198
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
3
8
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
4
4
1
1
1
1
1
1
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
3
1
1
1
1
1
1
1
1
1
3
1
3
13
1
1
12
1
3
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
5
1
1
1
1
1
1
3
1
3
1
1
1
1
9
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
11
3
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
15
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
7
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
7
1
3
1
1
15
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
5
1
1
3
1
5
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
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
3
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
3
27
1
1
1
1
1
7
1
3
5
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
10
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
12
1
1
1
1
1
1
1
3
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
2
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
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
9
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
10
1
1
3
3
1
1
3
3
1
1
1
1
3
1
1
1
3
6
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
3
1
3
1
1
3
12
1
3
1
1
3
1
9
15
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
23
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
3
5
1
1
1
1
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
15
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
3
1
1
8
1
1
1
24
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
3
1
1
1
3
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
7
14
1
3
1
1
1
3
1
1
1
1
1
1
1
1
7
1
3
1
1
3
1
3
16
1
1
1
1
3
3
1
1
3
1
1
1
1
7
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
4
1
1
1
1
1
3
3
3
1
5
1
1
1
1
1
13
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
3
1
1
1
1
1
1
3
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
9
1
1
1
1
78
1
21
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
23
1
1
2
1
1
1
1
3
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
3
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
11
1
1
1
1
1
3
3
1
1
1
3
1
1
1
3
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
3
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
3
1
1
3
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
2
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
6
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
62
1
1
1
3
1
1
1
1
1
1
11
1
1
1
5
1
1
1
1
1
1
11
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
5
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
3
1
5
1
1
5
1
1
1
1
1
3
1
1
1
34
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
5
1
3
1
1
3
1
1
1
1
1
2
1454
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
3
1
1
1
1
1
3
355
1
1
1
15
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
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
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
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
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
7
9
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
3
1
3
3
3
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
9
7
1
1
3
1
1
5
1
1
1
1
5
3
1
1
1
6
6
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
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
14
4
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
5
3
1
1
1
1
5
3
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
6
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
3
5
5
1
1
1
1
9
3
3
1
1
3
1
1
1
1
1
5
1
3
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
1
1
4
8
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
11
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
1
1
3
3
1
1
7
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
3
32
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
11
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
6
1
1
1
1
1
1
1
1
1
33
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
5
7
1
1
1
1
1
1
5
1
31
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
4
1
98
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
8
24
4
1
1
1
3
1
1
1
1
5
1
7
1
1
1
1
1
1
1
1
8
3
5
1
1
1
399
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
20
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
108
1
1
1
5
1
1
5
1
4
1
1
1
1
1
1
1
1
1
8
1
1
2
3
1
5
3
1
1
1
1
1
3
1
1
1
1
1
90
1
1
1
1
37
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
3
1
3
1
1
1
3
1
3
3
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
13
1
1
1
1
1
1
14
3
1
1
1
1
1
1
3
1
1
1
1
3
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
27
1
1
1
1
8
1
1
190
1
1
1
1
1
6
1
1
1
5
22
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
9
1
1
3
1
1
1
3
3
1
1
1
11
1
1
1
1
3
1
5
1
1
9
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
4
1
1
1
11
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
17
1
7
1
1
3
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
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
3
1
1
12
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
3
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
3
1
10
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
44
1
3
3
5
1
1
1
1
1
1
1
1
1
1
1
3
3
10
1
3
1
1
1
1
1
1
11
3
3
5
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
3
3
32
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
10
1
1
1
1
1
1
1
1
5
1
1
5
3
5
1
1
1
1
1
1
1
1
1
1
1
1
20
3
2
1
1
12
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
10
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
34
1
4
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
1
2
6
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
3
7
1
3
1
1
1
3
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
39
1
2
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
5
1
1
3
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
4
1
1
1
1
1
192
1
3
1
1
1
1
1
1
1
1
1
1
24
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
6
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
4
3
1
1
5
1
1
5
1
1
1
13
1
5
1
3
1
1
1
1
1
10
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
13
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
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
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
83
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
1
1
3
1
1
1
1
1
11
22
3
1
1
1
3
1
1
1
3
3
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
3
1
1
1
8
3
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
9
1
1
1
1
3
1
1
1
1
1
11
1
1
1
3
1
3
1
3
3
5
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
6
3
1
1
3
1
1
7
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
13
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
677
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
14
1
1
1
3
1
1
14
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
17
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
14
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
7
1
1
1
1
1
1
4
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
5
1
1
151
3
1
1
1
1
7
1
1
1
1
1
11
1
1
1
1
1
3
1
1
1
1
1
3
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
5
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
22
3
1
1
3
1
1
3
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
3
1
1
1
1
40
1
1
1
1
3
1
1
3
6
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
20
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
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
9
3
1
1
1
1
1
1
1
1
1
3
1
22
1
1
1
3
1
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
5
1
1
1
1
18
5
1
1
1
3
1
12
1
1
11
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
3
1
1
1
1
1
1
4
1
4
1
1
1
3
4
1
1
17
1
5
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
356
1
1
3
3
1
1
4
3
1
1
1
1
1
1
5
5
1
3
1
5
3
1
1
3
1
4
1
1
1
1
1
1
1
1
1
8
1
1
7
1
1
1
3
1
1
37
1
18
45
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
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
24
1
1
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
1
3
9
1
23
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
5
1
5
5
1
1
1
1
1
1
70
1
1
1
1
3
1
1
115
1
1
11
1
1
1
1
1
1
1
1
72
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
21
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
6
1
1
1
3
1
1
3
14
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
50
1
1
3
1
1
3
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
1
1
1
1
1
1
1
5
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
3
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
3
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
10
1
1
1
5
1
1
1
1
1
1
1
1
1
1
7
1
1
3
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
40
1
1
1
1
3
20
1
1
1
1
1
1
1
1
1
3
1
2602
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
3
11
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
3
1
1
1
3
1
1
1
6
1
1
1
1
1
1
56
1
2
1
1
1
1
1
1
3
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
5
14
1
1
3
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
5
1
5
1
1
1
1
12
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
4
1
3
1
1
1
1
1
5
1
5
1
1
1
1
3
3
2
1
1
1
3
1
7
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
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
3
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
81
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
11
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
3
1
1
3
3
4
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
18
1
1
1
1
1
1
1
9
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
7
1
3
3
10
1
1
1
1
1
1
1
23
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
3
1
1
1
1
1
1
1
7
3
1
1
3
1
3
1
1
1
1
1
7
1
4
3
1
1
1
7
4
1
1
1
1
9
3
1
1
1
7
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
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
1
1
1
1
3
1
10
58
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
3
1
9
1
1
1
5
14
1
1
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
140
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
52
1
1
1
5
1
1
1
1
1
1
1
14
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
1
1
7
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
5
1
1
5
1
1
4
1
1
1
1
1
3
7
8
3
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
13
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
3
1
1
1
1
1
2
15
1
9
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
7
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
5
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
34
1
1
3
1
1
1
1
1
1
3
14
1
3
1
1
1
5
1
1
1
3
7
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
25
1
3
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
3
1
4
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
73
1
1
1
1
1
1
1
3
1
1
1
3
1
8
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
162
1
3
1
1
1
1
10
3
1
1
1
1
6
1
1
1
5
1
1
4
1
1
1
1
1
5
1
1
1
1
1
3
1
7
3
1
5
1
1
1
1
1
1
1
1
1
1
1
63
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
28
1
1
1
1
8
1
1
5
1
1
1
7
1
1
1
1
1
1
1
1
3
6
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
1
3
1
3
3
3
1
1
4
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
6
1
1
7
3
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
3
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
19
11
1
1
1
1
1
1
1
1
3
1
1
1
1
42
1
1
1
3
9
1
1
1
1
1
1
1
3
5
1
3
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
7
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
17
1
1
1
52
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
1
5
1
3
1
5
1
1
1
1
22
1
1
1
1
1
3
1
1
5
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
5
1
1
7
1
1
1
5
5
1
1
3
1
1
5
1
1
1
2
1
1
3
1
1
1
1
1
140
1
1
1
1
3
1
1
1
1
1
1
1
3
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
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
11
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
9
5
20
1
1
1
1
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
5
1
3
22
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
11
2
1
3
3
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
7
1
4
1
1
1
10
1
14
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
11
1
1
3
2
5
1
1
1
3
1
1
5
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
11
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
98
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
42
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
9
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
14
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
8
3
1
1
7
1
5
1
1
1
1
1
1
1
5
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
16
3
1
1
24
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
6
1
1
42
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
3
1
1
10
1
1
1
1
1
1
3
1
3
1
32
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
3
5
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
13
1
1
1
6
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
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
3
1
3
3
7
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
3
1
1
1
1
1
1
1
1
1
44
1
1
1
9
3
1
1
1
2
1
1
1
3
1
1
3
1
1
7
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
9
1
3
1
1
1
3
1
1
1
1
1
3
1
5
3
1
1
8
1
1
1
1
1
1
1
1
5
3
1
3
1
1
1
1
3
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
5
1
5
5
1
3
1
1
1
1
1
1
6
5
1
4
1
3
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
5
1
9
1
3
13
1
1
1
1
1
1
1
1
1
1
1
22
4
1
1
1
3
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
5
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
5
5
1
1
3
1
1
1
1
3
1
1
1
5
3
1
1
5
1
3
1
1
3
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
1
1
1
1
1
3
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
6
3
3
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
4
1
1
1
1
3
3
1
1
5
1
3
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
5
10
1
1
1
1
1
1
1
1
1
1
1
1
7
6
1
6
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
1
3
3
1
28
1
1
1
1
1
1
1
7
1
1
1
4
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
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
9
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
24
1
5
1
1
1
1
1
3
7
1
1
1
1
1
10
1
3
29
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
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
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
18
1
1
3
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
3
3
1
5
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
5
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
5
1
1
1
3
9
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
4
11
3
1
5
1
1
1
1
3
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
3
1
1
26
1
1
1
1
56
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
3
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
7
1
1
1
1
5
1
1
1
1
11
1
1
5
1
1
1
1
1
1
1
1
3
38
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
8
1
1
1
3
1
1
1
1
4
3
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
1
1
1
1
3
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
101
1
1
3
1
3
1
1
1
1
1
1
1
12
1
1
1
1
3
1
1
1
9
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
3
1
20
1
1
6
3
1
1
13
1
1
1
1
1
24
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
5
1
3
12
1
1
1
4
1
1
1
3
1
1
316
3
5
1
1
1
1
3
1
1
1
1
1
1
1
1
15
1
1
1
8
1
1
1
3
1
1
1
1
1
3
3
1
18
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
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
13
1
3
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
6
5
1
1
8
1
1
1
1
1
1
1
3
1
1
71
5
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
8
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
42
1
1
1
3
1
1
1
1
1
1
1
3
5
5
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
107
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
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
9
1
1
1
1
1
2
1
3
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
7
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
5
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
34
1
1
1
1
1
1
9
3
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
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
38
1
1
7
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
5
1
4
1
18
1
1
3
1
3
1
3
3
1
1
1
3
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
4
5
8
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
6
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
6
1
1
1
7
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
29
1
1
1
3
28
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
7
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
5
3
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
3
1
1
3
1
1
22
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
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
8
1
3
1
1
1
1
5
2
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
3
1
1
1
7
5
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
6
1
1
1
1
7
1
1
1
5
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
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
6
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
1
1
20
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
18
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
1
1
1
1
1
3
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
1
1
1
1
1
2
1
1
44
1
11
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
7
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
9
3
5
1
3
1
7
1
1
3
10
6
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
25
1
1
6
1
1
1
1
1
1
1
1
3
1
1
1
3
5
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
12
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
226
1
11
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
3
12
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
3
3
1
1
1
1
11
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
3
3
4
1
1
1
3
3
1
3
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
8
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
10
1
1
1
1
7
6
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
5
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
6
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
5
1
1
1
3
1
1
1
1
1
1
1
3
1
30
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
3
1
1
7
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
1
1
24
1
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
5
1
3
3
1
1
7
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
3
1
1
1
1
10
1
42
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
3
1
3
1
1
1
1
3
1
1
1
1
86
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
1
1
6
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
18
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
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
34
1
1
1
1
1
1
3
1
1
3
1
5
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
42
1
1
1
1
3
1
1
1
110
1
6
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
3
1
1
1
3
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
8
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
5
1
7
10
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
5
1
1
10
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
10
3
1
1
5
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
5
20
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
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
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
23
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
250
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
6
3
1
1
2
1
1
1
1
1
3
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
19
1
5
3
3
3
1
1
1
20
1
1
1
1
1
1
14
3
1
1
1
1
1
1
1
8
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
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
38
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
12
1
1
3
1
5
1
1
1
1
10
1
1
1
1
1
1
3
1
1
3
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
5
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
3
18
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
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
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
3
1
1
1
3
1
1
1
1
4
1
1
1
1
3
1
1
7
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
96
1
1
3
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
96
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
50
1
5
1
1
1
3
1
1
1
1
1
1
3
12
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
5
1
61
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
42
1
1
1
1
3
1
1
4
4
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
13
3
1
1
1
3
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
1
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
141
1
1
1
1
1
1
3
1
1
52
1
1
46
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
10
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
3
1
1
5
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
58
4
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
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
7
1
1
1
1
1
1
3
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
6
1
4
1
6
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
8
1
1
5
1
1
5
1
3
1
3
1
1
1
1
3
1
1
1
36
1
1
1
1
1
3
1
1
3
1
1
1
7
1
1
6
1
1
1
1
23
1
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
3
3
1
1
6
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
3
1
3
3
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
4
1
1
1
1
5
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
7
1
1
1
1
1
3
1
145
1
1
1
1
1
1
1
3
3
1
3
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
72
1
1
3
4
4
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
3
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
9
1
1
3
1
1
1
1
7
1
3
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
3
1
1
1
1
1
1
1
1
1
1
130
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
8
1
1
1
1
5
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
3
7
1
1
1
5
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
11
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
5
1
3
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
1
4
1
3
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
9
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
1
1
1
5
4
1
1
5
1
3
1
3
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
1
1
1
1
1
1
1
3
1
1
3
18
1
1
1
3
2
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
5
1
3
1
1
1
1
1
1
1
15
5
5
1
4
1
3
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
5
4
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
3
1
1
1
6
3
7
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
5
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
4
1
1
1
3
1
1
1
1
1
3
1
2
1
3
1
1
3
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
5
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
17
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
3
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
3
1
1
1
1
1
1
1
1
1
1
1
1
246
1
1
1
1
1
1
1
1
1
40
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
6
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
4
1
5
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
7
3
1
6
612
2
1
1
1
1
1
1
3
1
1
1
7
1
1
5
1
1
5
32
1
14
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
52
1
1
1
1
4
1
1
3
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
1
1
3
1
8
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
5
1
1
3
1
5
1
1
1
1
9
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
1
1
42
1
1
1
1
1
1
1
1
1
1
1
1
2
5
3
1
1
3
1
1
3
1
1
1
1
1
8
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
13
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
9
5
1
1
1
1
3
3
1
1
1
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
19
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
3
1
3
1
1
1
5
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
3
1
1
1
1
1
3
1
1
6
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
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
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
3
9
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
13
1
1
7
1
1
1
1
1
5
1
3
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
3
1
1
1
1
1
1
1
1
1
3
1
1
35
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
6
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
51
1
1
1
12
1
1
1
1
1
1
2
1
1
5
1
1
3
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
19
1
1
3
1
8
1
10
1
1
1
1
1
1
1
1
1
1
1
8
3
1
3
1
44
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
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
3
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
2
1
1
1
1
5
1
5
1
1
1
1
1
1
1
16
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
8
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
92
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
10
1
1
1
1
1
1
18
13
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
12
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
10
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
7
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
7
1
1
3
1
1
1
1
1
1
1
4
12
1
1
1
1
8
1
1
3
1
1
1
1
3
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
3
1
3
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
40
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
10
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
3
3
1
1
1
1
1
1
1
6
1
1
20
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
22
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
6
1
1
1
1
1
1
1
3
3
1
3
1
3
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
9
1
3
1
1
5
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
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
3
3
1
3
11
3
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
15
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
90
1
3
1
1
1
1
1
1
1
1
1
20660
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
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
5
1
1
1
1
12
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
5
7
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
5
1
1
1
1
1
3
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
18
1
1
3
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
1
1
6
3
1
9
1
1
3
3
5
1
1
1
1
1
1
9
1
9
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
4
3
3
1
3
3
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
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
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
1
1
1
1
3
1
3
1
1
6
1
1
1
1
5
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
14
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
10
3
7
1
1
1
3
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
16
4
1
1
1
1
3
6
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
2
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
16
3
1
4
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1016
1
1
1
1
3
38
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
3
1
7
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
3
3
1
232
1
2
1
1
1
5
1
1
1
1