1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
3
1
1
6
13
2
5
3
4
1
1
1
2
1
3
1
2
1
2
3
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
5
1
2
3
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
2
2
1
1
2
3
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
2
1
2
6
2
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
5
4
1
1
5
1
1
1
1
1
6
1
29
2
1
1
1
1
6
1
1
2
1
3
1
1
1
1
1
1
1
1
9
2
2
1
2
2
1
4
1
1
1
1
1
2
1
1
7
8
1
1
1
1
1
1
2
2
1
1
28
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
2
1
1
1
4
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
4
3
2
9
2
1
1
1
6
3
1
1
1
2
2
1
2
6
3
1
9
1
1
1
2
5
2
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
2
1
6
2
1
5
3
1
1
1
2
1
1
1
1
1
2
5
6
1
3
1
1
1
2
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
2
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
2
1
1
1
3
3
1
2
1
1
1
1
2
1
1
2
1
2
1
1
3
1
1
1
1
2
5
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
4
4
1
1
1
2
1
2
1
1
2
2
1
2
9
2
1
1
1
1
1
1
1
1
4
2
1
1
3
2
8
4
2
6
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
2
8
92
1
1
1
21
1
2
1
1
1
2
3
1
3
4
3
3
1
1
2
4
1
1
1
4
1
1
1
1
8
6
3
1
2
2
2
1
1
1
1
1
1
1
1
20
12
1
6
1
1
1
4
1
3
1
1
1
1
1
2
1
1
177
1
1
1
8
3
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
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
4
1
1
1
8
1
1
1
2
1
2
2
3
1
12
5
2
1
15
4
1
1
20
2
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
105
1
1
1
1
2
2
1
1
2
1
1
1
1
2
2
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
2
1
1
1
2
3
1
2
1
3
1
1
1
1
3
2
1
2
1
1
1
1
6
1
1
1
1
2
1
1
1
6
3
1
1
1
1
3
2
4
1
1
1
1
1
2
4
2
1
2
1
1
1
3
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
2
4
1
42
4
1
6
1
1
1
14
1
1
2
1
1
2
5
1
2
1
1
1
1
1
1
2
1
19
1
1
7
1
2
2
2
2
16
3
1
9
109
1
1
1
1
2
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
11
2
3
1
11
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
4
2
1
8
3
1
1
2
2
1
1
3
22
1
1
2
1
13
1
1
1
1
1
1
1
1
1
1
1
1
210
2
1
1
3
3
3
2
1
2
1
2
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
20
1
3
1
1
1
1
2
1
1
1
2
1
1
2
1
4
1
1
1
2
1
2
2
1
1
1
1
2
1
1
2
1
3
1
1
6
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
15
3
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
4
7
2
1
1
48
1
1
4
1
1
2
1
1
3
1
6
1
1
1
1
1
6
1
3
1
1
2
1
1
3
1
3
1
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
33
1
2
1
5
2
1
1
2
1
1
2
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
4
1
1
1
1
1
2
2
1
2
1
1
1
1
2
1
2
6
3
1
2
1
1
23
2
1
1
3
1
2
3
1
1
1
2
1
1
2
2
4
1
1
2
4
1
1
1
1
1
10
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
2
1
8
1
2
1
3
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
63
5
1
1
1
1
1
5
4
6
1
1
1
1
2
1
5
2
1
1
3
1
1
1
1
1
2
1
1
1
4
1
1
1
2
1
1
1
1
3
2
1
1
3
1
1
1
1
1
1
2
7
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
5
1
1
3
2
1
2
2
15
2
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
5
6
1
1
4
8
1
1
1
1
1
1
1
5
1
10
1
2
1
1
4
1
1
1
1
1
1
1
20
2
1
1
5
2
1
1
4
3
1
1
2
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
4
1
4
1
1
1
1
1
1
1
1
1
1
1
46
2
2
1
1
19
1
1
1
1
1
1
1
1
1
5
6
1
5
1
1
2
1
2
1
1
2
2
1
2
1
16
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
3
2
1
1
3
1
1
1
1
1
1
2
1
1
12
1
1
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
132
3
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
503
12
1
1
2
2
1
2
1
2
2
1
1
1
1
1
1
3
1
3
1
1
3
1
2
2
4
1
1
1
1
2
1
1
1
2
1
1
5
2
1
1
1
2
1
1
5
2
1
2
2
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
2
2
1
2
2
1
2
8
1
2
1
5
1
1
2
1
1
1
1
1
1
4
1
2
1
3
1
1
4
1
4
1
1
7
1
12
3
6
2
5
4
1
1
1
1
1
1
1
2
1
1
1
2
2
2
1
1
2
1
1
3
2
1
2
2
1
1
1
3
2
7
5
1
1
1
1
1
1
1
1
1
1
4
1
6
2
2
1
2
3
3
1
1
1
2
1
1
2
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
7
1
1
2
1
1
1
4
3
1
8
2
1
1
2
1
1
3
1
1
1
1
1
1
1
1
12
3
1
1
7
3
5
1
1
1
1
1
2
2
1
1
1
1
1
1
2
4
1
1
1
4
1
2
2
3
2
1
2
1
2
1
1
1
1
3
2
1
1
2
3
1
1
3
2
3
1
1
2
1
4
2
2
8
3
1
27
13
1
1
1
1
1
1
2
1
2
1
1
1
2
1
2
1
1
1
1
9
2
1
1
1
4
1
1
1
1
2
1
1
1
1
2
1
1
1
1
14
1
2
1
2
1
1
2
1
1
2
1
1
72
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
2
5
2
1
1
2
2
1
2
5
5
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
9
4
2
1
1
1
1
2
1
24
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
14
2
1
1
1
1
1
1
4
1
6
1
3
1
1
1
1
2
2
2
1
1
1
3
1
4
2
1
1
1
1
1
1
1
1
1
1
1
3
5
3
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
3
2
2
1
1
1
4
2
1
3
1
1
2
1
8
7
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
29
1
2
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
47
3
2
19
6
1
8
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
70
2
1
1
2
2
2
1
1
1
1
1
1
1
24
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
5
1
1
1
3
1
4
1
1
2
8
2
2
1
1
1
1
2
5
1
1
1
1
1
3
2
1
1
1
1
6
5
2
2
3
1
506
1
9
1
1
10
6
1
1
42
1
1
4
1
1
2
1
2
47
1
1
1
1
1
1
10
2
6
1
2
3
1
1
2
2
1
1
1
1
1
3
3
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
186
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
2
473
1
1
1
1
2
2
1
1
3
1
1
1
1
9
1
1
2
3
2
1
8
1
1
1
1
1
2
1
1
1
1
2
1
1
2
126
2
1
1
1
1
1
7
5
1
2
1
2
6
1
2
1
1
1
1
1
1
2
1
5
1
3
6
1
1
2
1
1
1
75
5
1
1
1
2
2
1
3
1
2
91
1
1
1
1
1
1
2
2
1
1
1
1
1
1
5
3
1
2
1
1
1
1
1
1
1
2
2
1
4
1
1
2
1
1
1
1
1
1
1
3
1
6
1
1
1
1
6
2
87
4
1229
2
1
1
2
27
197
77
29
2
35
2
2
1
1
9
1
1
2
1
1
1
2
1
1
3
1
1
1
2
1
3
1
1
1
5
2
1
23
1
2
1
1
1
166
1
5
2
2
1
2
2
1
3
1
3
1
1
1
1
1
1
13
2
1
1
1
1
1
1
1
2
1
16
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
7
3
1
1
1
1
1
6
4
3
6
2
1
1
1
1
1
1
2
2
1
1
3
1
1
5
1
1
1
1
1
1
1091
1
1
1
2
1
1
1
5
1
1
2
1
1
1
5
2
2
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
2
2
3
10
1
22
1
2
1
1
1
1
1
1
2
3
1
130
2
1
1
2
3
2
1
5
2
14
1
1
1
1
1
1
1
1
3
1
1
1
1
14
1
1
1
1
1
1
1
2
8
1
1
2
1
1
3
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
4
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
2
1
1
4
1
2
1
2
2
1
1
5
2
1
28
2
2
1
1
2
3
2
1
2
1
1
1
1
5
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
133
1
1
19
3
1
1
2
1
1
1
1
1
1
3
5
2
1
1
5
1
1
2
2
1
2
1
2
1
5
1
2
3
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
8
1
4
1
1
1
3
1
1
1
1
5
1
1
1
1
1
3
1
2
1
1
2
1
341
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
2
3
1
1
2
2
1
25
2
1
1
8
1
1
2
2
1
1
2
1
1
1
1
3
2
1
1
43
1
2
1
2
11
1
1
3
2
2
2
1
1
4
5
2
1
1
1
1
8
1
1
2
1
5
4
1
1
7
2
3
2
2
1
1
1
1
1
1
1
2
1
5
1
1
1
2
1
1
1
2
1
1
1
1
2
5
1
1
1
2
2
1
1
1
1
1
4
17
1
1
1
1
1
1
1
1
3
1
1
17
1
1
2
1
1
1
1
1
1
1
8
4
1
1
1
1
2
5
2
1
1
1
2
1
4
1
3
1
1
2
1
2
3
1
4
1
13
1
1
1
1
2
1
2
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
5
1
4
2
58
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
7
6
1
1
2
1
764
5
1
1
1
1
1
1
1
1
1
42
2
1
1
4
4
1
2
3
2
3
1
2
1
1
1
2
1
1
2
3
1
2
14
8
4
2
1
2
3
1
32
304
2
2
2
1
1
1
197
1
1
1
1
2
1
2
4
1
3
1
2
6
1
2
8
1
1
3
2
1
1
1
1
12
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
19
1
1
1
1
2
1
1
5
1
5
1
1
1
98
1
1
2
1
8
1
1
1
1
17
2
1
1
4
1
2
1
1
1
1
1
1
1
8
1
1
4
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
86
1
11
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
2
1
1
2
1
1
1
2
1
103
7
1
5
1
2
88
1
6
1
1
3
2
422
1
1
1
1
4
2
1
1
1
3
1
1
2
1
1
7
3
1
2
1
1
2
1
1
1
1
1
18
1
1
334
1
1
1
1
3
14
2
1
2
1
2
1
2
2
1
2
1
1
9
4
3
2
1
26
1
1
2
1
2
2
1
2
3
1
1
2
1
2
1
3
7
1
1
26
1
1
3
1
1
2
1
2
4
3
1
1
1
7
1
1
7
2
1
1
3
2
2
1
1
2
1
2
1
1
1
1
1
1
1
1
5
2
1
4
1
4
11
1
1
1
1
1
1
1
2
4
12
1
1
1
2
1
1
2
1
3
1
1
1
2
1
1
1
3
2
9
1
1
1
2
1
1
4
2
1
1
1
1
1
1
2
4
2
1
1
1
1
1
1
1
1
1
3
2
1
4
3
2
1
2
1
1
2
4
1
2
2
1
2
1
1
1
1
1
3
1
1
6
2
1
1
1
1
1
1
1
6
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
2
1
1
13
6
2
1
2
1
1
1
1
247
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
2
1
1
1
1
1
1
3
1
1
1
1
1
2
4
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
6
1
2
3
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
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
2
1
5
1
1
1
1
1
1
1
2
1
1
4
1
1
3
4
1
1
1
1
1
1
1
4
1
2
1
5
4
2
1
1
1
2
1
2
6
3
2
1
1
1
1
2
1
2
1
1
1
3
1
3
1
1
5
3
1
1
4
1
1
3
1
8
1
1
6
1
1
1
8
2
2
1
1
1
1
1
3
1
1
1
1
1
7
5
1
1
1
1
3
1
1
1
3
1
1
12
2
1
2
15
1
1
1
1
1
1
1
1
3
3
1
2
4
2
4
4
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
13
3
1
1
4
1
1
1
1
1
1
6
1
1
1
1
2
7
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
7
2
1
2
1
1
1
1
3
2
1
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
45
4
1
1
1
3
2
2
1
2
2
1
1
1
1
1
37
1
5
1
4
1
1
2
1
1
2
1
5
2
3
1
1
1
8
1
1
2
1
2
2
1
1
1
1
1
1
1
1
260
13
2
21
1
1
1
1
2
1
1
1
20
1
1
6
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
7
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
2
4
1
1
1
4
1
1
2
4
4
1
1
1
1
2
3
1
2
1
1
8
2
5
1
1
2
1
1
2
2
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
5
4
4
1
2
1
7
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
196
1
2
1
9
3
2
1
1
1
2
2
2
1
2
2
6
1
1
1
3
4
1
1
2
1
1
2
1
3
1
4
5
1
1
1
1
1
1
1
71
1
2
2
1
4
1
1
1
1
1
9
1
1
3
10
1
1
6
1
1
24
1
1
1
1
1
2
17
2
1
9
4
3
3
1
1
1
1
3
1
18546
134
1
2
2
4
1
1
1
1
2
2
1
1
3
2
1
8
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
4
2
2
1
1
2
1
1
1
1
1
1
3
1
2
1
3
3
1
1
1
2
1
3
2
1
1
1
6
14
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
9
1
2
1
1
1
7
2
1
2
1
1
1
1
1
1
5
3
1
1
1
1
5
1
1
1
1
1
56
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
3
9
1
9
1
1
1
6
1
1
139
2
1
1
1
1
1
3
1
1
1
9
1
1
11
1
2
6
1
3
2
2
2
1
1
1
1
2
1
1
2
3
3
2
1
13
1
1
1
6
1
11
2
2
2
4
2
1
6
1
1
2
1
1
2
1
2
1
1
1
1
2
1
1
2
2
1
4
2
1
1
24
1
1
2
1
1
1
1
3
3
1
1
1
3
1
1
1
3
3
1
2
1
5
1
4
5
3
1
1
1
1
1
1
2
1
2
1
1
2
1
1
2
1
1
1
1
2
1
7
3
2
4
1
1
1
3
1
1
1
1
2
1
1
2
1
1
2
1
10
2
3
2
1
2
1
2
4
1
3
3
2
10
1
1
2
1
1
1
2
110
4
1
1
1
4
4
1
3
1
2
1
1
1
1
2
1
1
2
1
2
1
2
1
1
1
1
6
25
1
1
1
1
1
1
2
2
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
3
1
2
2
1
1
1
1
1
1
1
1
2
1
73
1
1
13
1
1
1
182
1
2
1
2
9
1
2
1
1
1
1
1
3
1
1
1
1
8
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
4
1
233
1
1
2
1
4
2
2
20
2
1
1
1
2
1
1
1
19
2
1
1
1
8
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
66
5
1
1
1
1
1
1
3
1
1
1
1
25
1
9
1
1
1
1
1
1
2
3
1
1
1
1
8
1
3
1
1
1
2
3
1
1
2
1
1
16
1
1
3
1
3
1
3
1
1
5
2
1
1
1
2
4
8
1
1
2
1
3
3
2
3
1
3
1
2
1
2
2
4
1
1
1
1
1
19
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
11
1
5
1
2
1
1
1
1
2
3
1
1
5
1
1
1
1
2
3
1
1
2
1
1
2
2
1
1
1
3
1
1
2
1
2
11
1
1
1
2
2
1
3
2
1
1
2
1
2
1
1
100
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
3
8
7
2
2
2
2
1
1
1
1
1
1
1
1
3
2
1
1
15
2
1
2
2
7
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
2
5
1
1
1
11
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
19
1
2
2
1
1
1
2
1
1
1
1
6
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
14
2
2
1
1
4
7
3
2
1
2
1
1
1
2
1
6
1
2
36
1
5
2
1
3
3
2
1
1
1
1
1
6
1
1
2
2
1
1
1
12
4
1
1
1
1
6
1
1
1
1
1
2
4
1
1
1
1
3
1
1
1
1
1
1
2
2
2
1
1
2
2
1
2
4
1
2
1
3
1
1
1
1
1
1
1
4
2
1
1
29
6
1
2
1
1
1
1
1
2
1
1
6
9
2
1
1
1
1
1
1
1
1
1
1
2
1
2
4
1
1
1
1
1
1
6
1
2
1
2
4
1
2
1
2
5
2
2
1
1
3
1
1
2
18
3
2
1
3
11
1
1
1
1
1
6
1
3
4
2
2
1
1
2
1
20
4
8
2
2
1
1
1
2
1
1
4
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
31
1
9
1
2
1
2
1
1
1
9
1
2
1
1
8
1
1
1
1
2
2
2
11
3
1
11
1
6
1
1
1
2
3
1
1
1
1
2
2
1
2
1
1
1
1
1
2
2
1
1
1
1
2
1
1
13
1
1
1
1
1
4
1
1
1
2
1
1
2
3
3
1
1
4
1
3
1
1
2
1
1
1
2
2
1
24
1
1
1
1
2
1
1
1
1
1
3
1
2
1
2
1
1
1
3
1
1
2
1
3
3
1
1
1
3
1
1
1
2
1
2
4
1
1
2
1
2
1
1
2
1
1
233
4
14
2
2
1
5
1
1
5
20
37
8
1
1
68
19
2
45
8
2
7
1
1
1
4
1
1
1
1
1
1
1
2
1
5
1
4
1
4
2
1
1
3
1
1
1
2
7
1
1
1
2
5
1
1
1
1
1
1
1
5
1
1
1
1
2
1
9
1
1
1
1
2
2
2
1
1
2
2
4
2
1
1
1
2
2
1
1
1
2
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
2
4
1
2
2
1
2
1
1
1
1
1
4
4
1
1
1
1
1
2
1
1
1
6
2
1
1
4
1
1
1
1
3
2
3
1
1
1
1
1
1
1
2
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
2
1
2
1
1
3
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
2
1
1
1
9
1
1
5
2
1
1
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
6
1
3
1
1
1
2
1
1
1
1
2
3
1
1
2
1
1
1
1
2
1
1
4
1
1
1
1
1
2
1
1
1
1
2
1
3
2
1
1
2
2
3
1
1
1
1
1
1
2
1
1
1
3
2
2
2
1
1
1
4
1
1
1
3
2
1
1
2
1
1
1
3
8
3
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
2
3
2
2
1
1
2
5
2
1
2
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
4
1
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
1
2
3
1
1
3
2
2
2
2
1
1
2
1
1
2
2
3
1
2
1
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
1
1
1
2
1
1
2
2
2
1
2
5
2
1
1
1
1
2
1
6
4
1
1
2
2
1
1
1
1
1
2
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
3
1
1
2
1
2
3
1
1
2
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
4
3
2
1
1
2
1
2
6
1
1
1
2
4
1
4
1
1
1
1
1
2
1
1
1
1
5
1
4
3
2
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
2
1
1
1
3
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
5
2
1
1
2
1
1
2
1
1
1
1
1
1
1
3
3
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
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
2
1
1
1
2
2
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
1
1
1
1
1
1
2
1
1
1
2
2
4
2
1
1
1
2
1
1
3
1
2
1
1
1
1
2
1
1
3
1
1
187
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
2
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
2
1
1
1
1
1
1
3
2
2
1
1
2
3
1
1
1
1
1
1
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
1
1
1
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
3
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
2
2
3
3
5
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
7
2
1
1
67
147
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
4
1
1
2
2
13
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
6
1
1
1
4
4
1
1
1
1
1
1
4
7
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
2
1
1
2
1
2
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
248
268
1
2
1
1
1
1259
1
2
1
1
1
1
1
1
1
2
144
1
1
3
1
2
4
3
14
4
4
3
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
4
1
1
1
1
2
2
1
1
1
1
4
2
9
12
1
1
3
1
1
4
1
1
1
1
1
3
2
10
2
1
1
9
1
1
1
2
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
53
1
3
1
1
4
1
2
2
1
1
3
2
10
1
3
2
2
1
1
1
2
1
2
8
2
2
2
2
2
1
1
3
2
1
1
1
1
1
1
1
2
4
2
1
4
18
1
1
1
1
1
6
3
4
1
2
2
1
1
1
2
3
1
2
1
1
1
4
1
2
1
9
3
1
2
4
1
2
1
4
1
1
1
1
1
1
2
12
1
1
2
1
1
6
1
3
1
1
1
1
12
1
2
4
1
1
6
4
2
1
40
1
2
2
1
1
1
1
1
1
1
2
15
1
5
1
1
4
3
2
1
1
3
2
1
1
1
5
2
2
3
1
3
5
1
2
2
1
1
1
1
1
5
1
1
2
1
2
2
1
1
2
1
1
1
1
2
2
4
1
1
2
1
2
4
2
3
1
1
1
1
1
1
1
2
2
2
2
1
2
1
1
1
1
1
1
3
1
1
1
3
1
2
2
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
3
1
2
2
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
4
1
1
1
2
38
1
1
3
3
1
1
1
3
2
3
1
11
2
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
3
1
2
1
2
3
1
1
1
18
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
3
2
1
1
1
2
5
2
1
2
2
1
1
2
2
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
19
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
8
1
4
1
1
1
34
1
8
1
1
3
1
1
2
1
1
4
5
1
3
3
1
1
1
1
2
1
2
3
1
83
1
1
2
1
3
1
2
1
1
1
1
1
1
20
7
2
1
1
1
11
1
3
3
1
1
1
1
1
1
2
1
1
5
1
1
1
3
1
1
1
1
1
3
17
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
2
1
3
1
1
3
9
1
1
1
3
1
1
1
2
1
6
1
1
1
3
6
1
1
4
2
1
1
2
1
6
4
1
1
3
1
2
3
1
1
2
3
3
2
149
1
2
3
1
34
25
1
1
3
1
1
2
2
2
3
1
5
1
1
1
2
20
2
1
2
1
4
1
1
1
1
1
6
1
2
1
1
1
2
1
1
1
1
2
1
1
1
6
3
2
1
2
1
5
1
1
1
18
1
1
26
3
1
1
1
2
1
3
6
1
6
1
1
52
2
1
4
1
1
1
2
1286
1
1
2
1
1
1
3
2
48
1
1
3
4
1
1
1
1
1
2
2
1
1
2
2
1
1
1
6
10
3
1
1
1
1
1
1
1
2
2
5
1
2
1
1
5
1
1
3
3
2
1
1
3
1
1
4
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
1
14
1
1
1
1
1
3
2
1
1
1
10
1
1
1
1
1
1
2
2
1
2
18
2
2
2
12
2
1
1
3
2
1
1
1
1
3
2
3
1
1
1
1
1
1
2
6
1
1
1
1
1
4
2
1
1
12
1
4
1
1
3
1
1
1
1
2
1
2
1
1
1
3
3
1
1
1
2
4
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
5
1
1
120
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
3
1
1
1
1
1
1
1
9
2
1
47
3
2
1
1
1
1
1
2
1
2
1
1
24
3
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
2
2
1
1
1
1
1
1
1
1
2
2
2
2
1
1
7
1
1
1
1
7
11
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
2
36
3
1
1
1
1
6
1
1
1
2
2
1
1
2
1
1
1
10
2
2
3
2
4
1
4
1
3
1
1
1
1
1
1
2
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
2
3
2
1
1
1
1
1
4
1
1
3
2
1
1
2
1
2
3
3
4
1
1
1
1
1
1
1
22
2
2
1
1
1
1
5
1
2
4
1
5
2
1
1
3
2
1
2
1
3
2
1
1
1
1
4
1
1
1
1
1
2
1
4
1
3
4
2
1
1
1
1
2
2
1
1
2
3
1
1
4
1
2
1
1
1
1
1
4
2
1
1
1
1
1
1
3
2
2
9
1
1
1
2
2
3
1
5
1
1
1
1
1
2
5
2
1
3
1
1
1
1
1
1
4
2
4
1
1
1
1
1
1
2
9
1
2
1
3
1
1
1
6
1
1
1
1
1
1
1
2
1
2
1
2
1
4
1
1
12
1
3
1
1
1
1
1
1
2
2
1
1
1
1
2
1
2
6
2
1
3
2
2
1
1
2
1
1
3
1
1
1
1
1
3
1
2
1
6
2
1
7
2
1
3
2
1
1
1
1
2
2
1
1
1
1
3
2
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
3
2
1
2
1
1
3
3
2
1
1
2
1
2
4
2
1
4
2
1
2
1
1
1
1
3
1
1
15
3
2
1
1
2
1
1
1
2
1
1
1
1
16
4
2
2
1
2
3
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
3
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
2
4
1
1
1
1
5
1
1
1
2
1
1
9
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
15
9
1
1
1
1
1
1
1
2
1
3
1
4
1
1
4
1
2
1
1
1
3
1
1
3
20
1
1
7
5
1
1
1
1
1
2
2
4
2
2
1
4
1
1
1
1
1
1
1
8
1
2
3
2
2
5
16
3
1
1
3
2
2
1
13
1
6
1
1
1
3
1
1
1
1
1
1
1
2
1
2
2
1
2
1
1
1
1
1
1
1
3
2
1
1
2
1
1
1
8
1
1
4
1
1
7
2
1
1
1
1
1
1
1
1
80
4
4
2
6
1
1
16
3
1
8
1
1
4
1
2
1
1
31
1
2
3
12
1
1
1
2
3
3
2
1
1
4
1
6
1
1
1
21
2
3
99
1
1
1
1
1
1
2
678
1
3
18
1
2
10
46
24
1
2
4
1
3
1
1
2
1
1
3
1
1
1
4
1
1
2
3
163
2
5
14
1
2
1
1
16
1
1
24
19
1
1
3
2
5
1
2
2
1
1
3
1
1
1
9
1
18
1
1
1
1
2
1
1
2
2
2
1
1
1
1
1
1
2
1
13
1
3
1
1
133
2
1
1
7
1
20
4
1
1
2
2
1
4
3
3
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
2
1
1
3
2
1
2
6
1
6
20
1
2
1
4
1
11
1
1
1
1
1
1
1
11
7
3
1
7
29
4
1
1
2
2
2
3
1
3
4
1
1
1
3
2
1
1
3
1
1
2
1
1
2
2
7
31
2
1
1
1
4
1
1
2
1
3
1
2
2
3
4
1
1
2
2
2
2
1
1
6
2
1
1
2
3
3
1
1
21
2
3
1
6
1
2
1
1
5
1
4
1
1
1
1
3
5
1
2
1
1
1
1
1
1
1
2
1
6
3
1
1
7
1
5
4
2
22
1
1
3
6
3
1
1
4
4
3
2
1
1
1
1
1
4
1
1
1
1
1
7
3
2
2
3
1
1
21
2
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
4
6
2
1
1
4
13
1
1
2
4
4
3
2
1
2
2
164
2
1
1
3
2
1
1
3
6
4
1
65
1
1
2
4
1
1
2
9
1
1
1
1
1
4
52
2
3
5
1
2
1
3
1
1
1
7
9
1
3
1
2
12
4
1
1
2
1
1
1
1
2
1
1
1
4
6
1
2
1
1
1
1
1
1
1
1
1
3
1
1
6
2
3
1
1
1
2
1
6
1
1
1
1
1
1
1
1
2
1
2
31
1
15
1
2
1
3
1
2
1
1
1
7
1
1
1
2
1
2
1
2
1
1
2
2
2
2
1
2
1
5
1
1
1
4
1
1
3
1
1
10
5
1
1
1
1
1
3
1
7
1
1
1
1
1
1
1
501
11
3
2
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
2
2
5
1
1
3
3
1
1
1
2
5
1
1
1
3
1
1
1
2
1
1
3
22
2
2
1
1
2
1
1
2
1
4
1
1
29
3
2
1
1
1
2
4
5
1
1
1
1
1
1
1
4
1
1
5
1
3
1
1
5
1
3
3
1
1
2
2
1
3
1
2
1
1
1
1
1
1
1
2
1
2
5
2
2
2