1
1
1
1
1
1
2
1
2
1
2
2
3
6
2
1
1
1
1
2
1
1
1
1
3
3
2
1
1
3
1
1
1
1
1
1
2
2
1
1
1
4
1
1
1
1
1
2
1
1
2
9
2
10
5
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
2
1
2
2
1
1
2
1
3
4
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
6
1
1
1
1
11
1
1
2
3
1
7
1
1
1
1
1
4
1
1
1
7
1
6
2
1
1
1
6
1
4
3
1
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
9
42
2
1
1
8
1
1
1
2
1
1
1
1
4
2
4
1
2
1
1
1
1
1
1
1
7
1
1
1
1
1
2
2
10
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
2
46
1
2
1
3
2
2
2
1
1
1
1
2
1
2
2
1
4
1
4
1
1
1
2
1
2
1
1
9
2
1
3
1
1
1
1
2
8
1
2
1
1
37
3
1
6
2
1
5
2
2
1
2
4
1
1
1
11
3
1
1
1
1
1
1
2
1
4
1
1
4
4
4
2
1
1
1
2
1
214
2
1
10
1
1
2
1
1
1
1
1
2
1
16
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
14
1
6
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
11
1
1
2
23
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
2
1
5
4
1
2
3
2
2
1
4
3
1
1
1
1
2
2
1
2
1
1
2
1
1
1
3
4
1
1
1
1
3
21
1
2
3
1
2
1
1
2
1
1
1
46
11
1
1
1
1
2
1
1
1
3
1
6
1
1
1
1
1
1
1
10
1
1
1
1
2
2
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
2
1
57
1
1
1
1
1
5
2
1
1
1
1
5
2
2
1
1
2
1
1
7
1
14
1
1
1
1
1
5
1
1
2
1
3
1
1
1
150
1
3
1
7
43
1
12
1
1
1
1
1
1
2
1
2
2
3
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
2
1
2
8
6
119
1
1
1
6
3
4
1
1
1
1
1
4
1
3
2
1
1
1
1
2
5
1
2
2
2
1
4
2
5
10
1
3
11
1
1
1
3
12
4
1
1
2
1
2
1
1
2
13
11
1
4
2
1
1
4
3
1
1
2
1
1
13
1
1
1
1
230
1
2
1
1
2
1
1
1
1
2
1
1
1
1
7
1
1
4
2
1
1
1
1
2
1
1
1
49
1
1
1
2
1
1
1
3
3
1
1
1
1
1
25
1
6
1
1
1
2
4
1
1
7
6
1
8
1
2
3
4
1
1
2
3
1
3
1
2
2
5
1
5
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
2
55
2
1
1
1
1
1
1
5
1
1
2
1
1
2
3
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
2
7
14
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
5
1
1
1
1
2
5
1
1
1
1
6
1
3
1
8
1
1
1
1
2
1
2
3
3
43
2
2
1
1
1
1
27
1
1
30
1
2
1
2
1
1
1
3
2
1
1
1
1
1
23
1
1
2
1
2
1
1
1
3
3
1
1
8
8
1
11
1
1
1
2
1
1
1
2
2
1
1
1
1
4
1
2
1
1
1
3
1
58
2
1
2
6
8
1
1
1
1
2
12
2
1
1
1
6
1
1
1
3
1
2
4
1
3
2
64
2
25
16
1
5
1
3
1
1
2
1
9
1
3
1
92
1
1
1
1
2
6
1
1
2
1
4
2
1
1
3
1
1
1
6
6
1
1
4
1
1
2
1
1
1
1
7
1
1
1
3
1
2
1
1
2
1
5
3
1
3
1
1
4
1
1
1
2
13
1
1
1
1
2
11
3
1
1
2
1
1
1
1
1
2
1
1
2
1
1
138
3
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
5
3
1
1
1
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
2
2
1
1
1
1
1
2
16
4
2
4
1
1
1
1
2
2
2
1
1
1
1
1
1
5
1
1
4
1
4
1
1
1
1
2
1
2
1
3
11
2
4
1
1
1
1
2
2
2
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
19
4
1
2
6
1
1
1
4
2
1
1
3
1
2
1
1
1
1
1
1
2
2
2
16
1
1
1
1
1
2
10
1
1
1
3
2
1
37
1
1
1
1
1
7
1
1
5
1
1
1
1
1
5
2
13
1
4
1
1
2
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
1
23
1
1
1
3
1
4
1
1
1
1
1
1
54
1
1
1
1
2
4
3
1
1
22
1
1
1
1
1
1
2
1
2
1
1
1
1
9
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
2
62
1
4
1
3
1
2
1
1
1
1
1
11
1
4
1
2
3
22
7
1
3
1
1
1
1
9
2
1
1
1
1
1
1
2
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
6
2
1
2
1
1
1
39
11
1
3
1
1
6
2
1
3
1
2
1
1
1
2
2
1
2
1
2
1
3
2
3
1
1
1
1
1
2
5
11
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
2
3
3
3
1
1
1
1
1
1
1
1
2
2
2
1
1
5
2
1
1
3
1
1
1
1
1
1
1
1
8
1
2
3
1
1
1
2
2
1
1
1
1
1
2
1
1
1
2
1
2
2
3
2
1
1
1
2
1
1
1
1
4
4
2
1
1
1
1
1
6
2
12
1
1
1
1
1
1
2
1
1
1
11
1
25
1
1
1
1
7
1
5
1
1
2
3
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
72
1
1
2
21
1
1
3
1
1
1
2
1
1
1
2
6
3
2
19
1
1
1
2
2
1
1
1
1
1
1
2
1
2
1
1
1
1
2
2
1
8
1
1
1
1
1
1
1
2
2
2
3
2
1
2
3
2
1
2
1
1
1
1
1
1
2
1
1
5
1
2
2
1
1
1
1
1
2
1
1
1
1
25
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
24
1
1
2
1
1
1
1
1
1
200
1
1
1
1
2
2
1
1
1
2
1
1
1
3
1
4
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
3
667
3
24
1
1
1
1
1
3
1
2
2
3
1
1
1
1
3
1
3
1
3
4
1
2
1
1
2
2
1
2
1
2
1
1
1
1
2
1
1
5
1
2
1
1
1
1
2
2
1
1
1
1
59
1
5
4
1
2
2
3
1
6
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
4
5
1
1
1
1
3
3
2
4
1
1
1
1
1
1
1
1
2
4
1
12
5
5
5
6
6
1
3
2
1
1
1
8
3
1
1
1
2
2
1
1
1
1
1
1
2
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
2
1
1
1
1
1
3
1
1
2
1
6
23
51
1
20
1
2
3
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
6
5
2
1
2
2
1
1
2
1
5
1
1
5
1
2
2
1
7
1
2
4
6
1
1
2
2
3
2
2
2
1
1
1
1
1
1
2
1
2
2
1
1
1
1
6
1
1
1
1
4
1
1
1
4
2
1
7
6
1
3
1
1
1
1
1
1
1
2
2
3
1
2
6
1
1
5
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
2
1
14
8
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
2
1
3
27
1
4
1
1
1
5
1
2
1
1
47
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
7
1
2
10
2
1
3
1
1
1
1
1
1
4
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
10
4
1
1
1
3
7
1
1
1
1
1
3
1
1
1
1
1
8
5
1
1
1
1
2
2
1
1
1
1
2
1
1
2
1
1
1
1
1
7
1
2
2
1
2
1
1
1
2
3
1
1
1
2
4
1
1
3
3
4
2
1
1
1
1
1
1
1
1
4
1
2
1
1
2
1
3
1
5
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
7
1
1
1
1
1
1
1
4
20
3
1
2
1
6
1
1
2
1
6
4
1
1
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
23
26
1
4
1
1
1
1
1
1
2
4
1
1
1
1
4
1
2
1
2
3
2
5
1
1
1
7
2
6
4
1
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
2
4
1
1
1
1
2
1
12
2
1
2
1
1
1
1
1
1
1
1
1
2
1
3
2
2
1
4
3
1
2
2
1
1
1
1
1
1
2
1
1
1
6
1
1
1
1
1
1
3
1
4
1
3
1
2
1
1
12
8
1
1
1
1
1
11
2
3
1
2
52
1206
1
1
1
1
1
11
3
2
675
1
7
1
1
2
13
3
1
51
1
1
4
1
12
3
9
1
1
1
1
2
94
1
9
1
1
3
8
1
4
3
2
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
4
1
3
7
1
1
14
1
2
1
1
1
5
1
1
1
1
1
1
1
4
3
1
1
1
1
61
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
2
7
1
1
3
1
1
1
1
1
1
3
1
4
2
1
2
1
708
40
16
1
6
1
1
2
1
1
1
4
1
1
2
1
2
4
2
1
1
1
2
5
2
1
3
1
5
3
2
36
2
4
2
1
1
1
1
43
1
1
1
1
2
1
4
2
1
2
3
2
3
1
1
1
2
1
1
190
1
1
6
1
1
3
1
1
7
1
1
1
3
1
1
1
3
1
1
2
6
2
1
1
2
4
1
1
1
4
1
63
1
1
2
1
2
1
1
1
200
1
3
2
1
1
1
1
2
4
6
6
3
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
6
3
5
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
102
1
1
1
1
2
1
2
4
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
3
1
1
2
1
1
3
1
2
1
1
2
1
1
1
1
2
1
25
2
1
2
1
219
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
7
1
1
1
1
1
1
3
1
1
2
1
11
3
1
1
1
1
1
1
1
2
1
2
1
1
1
6
1
1
1
3
7
1
2
1
2
2
6
1
10
1
3
4
6
1
1
1
1
1
1
1
1
9
10
1
1
3
2
1
1
1
1
4
1
1
3
1
1
2
2
1
1
1392
1
3
1
2
2
2
1
1
2
6
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
9
68
5
2
1
25
1
2
1
1
1
1
24
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
228
70
1
1
1
1
1
1
1
1
1
3
1
2
13
1
1
1
1
1
1
1
1
1
1
2
2
2
2
1
2
1
1
13
1
1
2
1
1
3
1
1
10
3
1
1
1
1
2
49
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
2
1
1
1
1
1
1
1
2
55
1
1
1
1
1
13
1
1
1
1
1
1
6
1
1
2
1
3
1
1
1
1
1
1
4
10
2
1
1
1
1
1
6
2
1
1
1
1
1
1
1
2
1
2
1
3
1
12
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
2
1
1
2
2
4
2
1
1
2
1
2
3
1
1
185
4
21
3
1
19
2
1
8
1
2
2
2
1
1
1
1
2
1
1
1
2
1
4
1
2
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
4
1
5
1
1
1
2
5
2
1
2
1
2
1
1
1
2
4
1
1
1
1
1
2
1
1
3
2
1
2
1
3
12
1
1
1
1
2
1
3
1
7
1
1
1
1
1
1
5
534
1
2
1
1
183
2
1
3
1
1
1
1
1
3
6
5
7
1
1
1
1
1
1
1
1
1
3
1
1
2
3
4
1
1
1
2
1
2
1
1
1
6
2
2
1
2
3
1
1
1
18
1
1
6
1
1
1
1
1
1
1
2
1
2
3
1
1
4
1
29
4
3
1
1
1
4
2
1
3
2
1
1
1
1
1
1
2
4
2
1
13
1
4
1
1
2
1
1
1
1
5
4
4
7
2
5
1
1
2
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
2
1
4
1
1
1
4
1
1
2
1
1
1
1
2
1
11
1
1
3
1
1
1
1
1
1
1
1
15
2
2
6
6
4
1
1
2
1
2
9
2
1
1
1
1
1
1
4
1
1
2
8
1
1
3
1
1
3
1
1
1
6
1
1
1
3
1
1
1
3
4
1
1
1
1
2
4
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
6
4
1
1
1
1
2
1
1
1
1
3
2
2
1
1
1
1
2
1
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
14
1
1
8
1
2
2
1
43
1
1
2
1
1
3
1
1
3
1
1
2
1
2
1
1
2
862
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
5
2
2
6
2
3
2
2
1
2
1
1
2
1
1
1
1
2
22
3
8
2
1
1
1
5
452
3
1
1
3
1
1
1
1
2
2
1
1
1
2
1
2
2
2
1
1
3
3
6
2
2
3
1
1
1
1
1
9
2
1
1
1
1
3
1
1
1
1
1
6
2
3
1
1
1
2
13
1
3
1
1
1
15
1
1
17
1
1
1
1
1
8
1
1
1
1
35
1
3
1
2
1
3
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
9
3
3
1
2
1
1
6
82
3
3
1
13
4
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
10
135
3
1
15
1
1
1
1
2
4
1
3
1
1
1
1
2
2
1
1
1
4
3
1
1
2
8
1
1
1
3
30
203
1
2
1
1
1
1
2
21
1
69
20
1
4
1
1
2
1
2
122
2
8
4
1
3
5
3
6
1
503
1
3
1
1
4
24
8
1
1
4
1
1
1
1
2
3
1
1
2
4
6
1
1
1
1
13
1
1
1
424
2
1
1
1
21
2
1
1
2
1
3
1
1
1
1
2
2
1
1
2
1
1
3
1
2
2
2
2
9
3
1
1
1
1
3
1
2
3
2
1
3
1
2
1
1
1
1
1
1
2
1
2
1
1
1
47
2
1
1
1
1
2
2
1
1
2
2
1
8
4
1
5
5
3
2
1
6
1
3
1
1
1
1
1
3
1
1
1
2
1
1
3
2
1
6
1
10
1
1
1
1
1
7
1
1
2
2
1
2
6
4
1
1
2
2
2
1
1
1
1
1
4
1
2
1
2
12
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
5
4
1
1
17
1
1
1
1
2
1
4
1
1
1
1
3
1
1
1
3
1
1
1
1
2
2
7
1
15
8
2
1
1
1
1
1
2
2
1
1
5
1
2
1
1
1
1
1
8
1
1
1
1
4
1
7
2
1
2
1
1
1
1
1
1
2
2
11
5
2
1
1
1
3
1
2
1
13
1
1
1
1
1
1
1
1
6
1
1
1
5
2
2
1
3
1
1
1
3
1
1
1
1
2
1
4
1
27
1
1
68
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
3
1
1
43
3
3
1
1
1
1
2
1
1
3
3
2
39
2
1
1
1
1
2
1
1
1
1
2
1
3
1
3
3
1
1
1
1
1
1
4
1
1
2
3
3
1
2
5
4
2
4
1
1
2
1
1
1
1
1
1
1
2
1
1
2
2
84
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
4
3
8
1
1
1
2
1
1
2
2
1
1
1
1
1
3
1
3
2
1
9
3
1
1
1
1
1
1
1
1
4
1
2
6
1
1
1
1
1
2
1
2
2
2
2
1
2
2
2
2
3
4
1
8
1
1
9
4
1
2
1
1
1
6
1
1
3
1
2
3
1
1
2
1
1
1
3
2
1
1
1
1
2
1
1
1
5
1
1
3
1
1
1
1
1
1
1
13
1
1
7
1
7
1
2
1
2
1
2
4
3
3
2
1
1
2
3
1
1
1
1
2
2
1
1
12
9
1
1
1
5
1
1
3
1
1
1
4
1
1
1
3
4
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
3
5
2
11
1
1
1
1
2
1
1
1
1
1
1
1
2
6
1
4
1
5
1
1
1
2
1
1
1
2
1
1
13
1
2
1
1
1
1
1
2
2
1
4
2
3
2
2
1
1
2
1
2
1
1
5
1
1
1
1
3
2
1
1
2
1
1
44
5
2
3
1
1
1
2
1
1
3
17
1
3
1
7
1
1
2
2
1
4
1
1
1
1
51
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
4
2
1
1
4
2
18
1
1
1
3
1
2
1
1
332
1
2
1
4
1
1
1
3
1
2
1
36
1
1
1
11
1
1
2
1
2
1
6
1
5
1
2
1
1
1
2
2
1
5
2
2
1
1
1
1
1
2
1
2
5
2
1
4
7
2
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
2
1
1
7
2
1
1
1
1
3
1
2
2
1
2
1
1
1
1
1
1
2
63
3
1
1
2
2
1
1
2
1
1
1
1
1
1
19
1
1
7
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
59
15
1
2
2
2
2
1
3
77
3
1
3
2
7
8
2
10
1
1
1
2
2
1
3
1
1
1
2
5
1
1
1
1
3
1
1
1
1
2
3
2
2
1
1
3
3
2
1
2
1
3
3
1
2
5
3
1
1
1
1
1
77
1
3
5
1
11
1
1
1
1
2
3
1
6
2
1
9
3
1
11
2
1
3
3
1
1
22
3
3
1
1
3
1
1
1
1
2
2
13674
4
1
1
3
1
1
1
2
1
2
1
2
2
4
1
1
28
3
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
3
4
1
3
1
1
1
1
1
1
1
2
2
2
1
1
1
1
4
304
1
1
1
1
1
1
1
2
3
1
2
1
1
3
3
1
1
3
1
4
15
1
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
1
6
2
1
1
1
1
1
1
6
1
1
5
3
1
3
11
1
7
1
5
1
5
1
11
1
1
4
1
1
1
1
6
1
1
1
1
1
1
19
2
34
1
1
1
1
1
5
1
1
1
1
2
2
1
1
1
3
2
5
2
9
1
3
7
1
1
1
4
1
1
1
1
7
1
1
1
210
1
1
1
1
2
1
3
1
1
1
1
2
8
6
10
1
1
1
3
6
1
1
4
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
4
4
2
5
1
2
1
2
1
3
1
1
15
2
1
1
2
1
2
1
1
1
2
2
1
1
5
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
23
3
1
2
3
2
1
1
1
1
1
1
1
1
2
4
2
3
3
2
2
1
2
5
2
1
1
1
3
1
2
1
1
153
5
1
2
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
4
2
1
1
2
1
1
2
5
1
3
1
1
1
1
2
1
1
1
1
2
6
4
1
1
2
1
1
2
114
1
1
1
5
2
1
5
1
2
1
1
2
3
1
5
1
1
2
2
1
1
1
1
1
11
3
24
1
1
1
1
1
1
2
2
1
7
1
6
2
2
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
25
25
2
1
3
1
24
8
1
1
1
1
3
1
9
1
1
1
2
1
1
2
1
1
2
3
14
2
1
1
4
4
251
4
1
1
1
2
2
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
2
1
2
4
1
2
1
1
3
1
98
1
1
1
1
1
1
2
1
1
2
9
1
2
1
1
1
2
1
1
178
1
3
1
1
3
1
2
2
1
1
22
1
3
1
1
1
1
1
1
37
15
1
5
1
4
1
4
3
1
2
25
1
1
1
1
1
2
1
1
1
1
2
1
4
2
4
4
19
1
1
1
2
1
1
1
1
1
85
1
7
1
1
1
3
1
1
2
1
1
1
29
1
1
3
1
3
3
1
1
6
3
3
2
2
3
11
1
3
1
1
2
3
1
4
1
2
1
2
9
1
1
2
1
1
2
2
3
1
1
1
3
3
1
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
16
1
1
1
1
1
4
1
1
2
2
2
1
1
1
1
1
1
1
2
1
43
1
1
2
2
1
1
1
1
1
5
1
2
1
1
6
1
2
3
3
1
1
1
1
2
5
1
3
1
2
1
1
1
2
2
1
6
1
1
1
2
4
5
1
2
1
1
1
1
1
3
4
1
4
2
2
1
3
3
2
114
2
1
1
1
1
1
1
1
10
1
2
1
1
4
4
1
1
2
1
1
1
1
1
2
1
2
1
5
4
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
2
1
2
1
3
1
1
1
1
1
2
1
1
4
1
5
1
1
1
1
11
12
1
1
1
2
9
8
2
1
1
2
1
4
2
2
1
1
1
2
3
1
1
1
1
10
1
4
1
1
1
1
3
1
1
2
1
25
1
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
3
1
2
1
1
1
5
1
1
24
3
1
1
2
1
1
1
4
3
3
1
2
1
1
2
1
1
1
1
3
18
1
3
2
2
5
1
4
1
2
1
1
3
1
4
1
2
1
3
1
2
1
1
1
10
2
1
2
5
3
1
1
3
2
6
2
2
2
1
2
3
1
1
1
2
1
1
1
1
1
3
1
1
5
2
1
2
2
4
1
2
1
2
1
1
1
1
1
1
4
8
16
4
1
5
1
1
1
1
1
1
1
1
1
1
2
4
1
2
1
3
4
1
3
2
1
10
1
2
1
1
1
1
4
2
3
1
6
2
2
1
2
4
1
65
6
1
1
3
2
1
1
7
1
1
2
2
1
1
1
3
2
2
1
21
2
3
1
2
1
2
1
3
1
1
1
2
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
2
3
1
2
1
1
1
1
1
1
5
1
1
1
1
1
7
1
2
7
1
1
1
2
4
5
1
1
10
7
1
1
1
1
20
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
2
5
3
2
1
1
18
2
1
1
2
1
2
1
1
1
3
1
6
1
1
1
4
1
3
2
1
1
1
2
1
3
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
4
1
1
4
1
2
2
1
1
3
1
2
2
1
1
2
1
1
2
1
1
1
1
4
7
7
1
1
1
1
2
2
1
4
300
8
6
21
2
6
1
1
1
1
1
2
2
2
1
3
12
9
26
10
7
2
1
35
4
5
1
13
42
7
1
48
10
3
1
4
1
9
2
1
1
1
1
1
1
1
2
6
1
1
3
1
4
1
5
1
1
1
1
1
1
3
1
2
1
1
1
1
1
2
5
1
3
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
6
1
1
1
1
3
4
3
1
1
2
1
1
1
1
1
5
4
3
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
2
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
2
3
9
1
1
1
3
3
1
1
2
2
1
1
2
2
1
1
1
2
1
1
1
1
2
1
4
3
3
3
1
1
2
1
1
1
1
1
3
1
1
2
2
3
4
1
1
1
2
1
1
2
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
2
1
5
1
1
2
1
2
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
2
1
1
1
2
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
2
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
2
2
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
2
2
1
9
1
1
2
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
2
2
1
1
4
1
2
1
1
1
1
2
1
2
1
1
2
4
2
1
3
1
1
3
1
2
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
3
2
1
1
2
1
1
1
2
1
1
3
4
2
1
1
2
3
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
5
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
2
1
1
1
3
3
3
1
1
1
1
5
2
1
2
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
2
2
1
1
1
1
1
4
1
2
1
8
1
5
1
1
2
4
2
3
1
1
1
1
1
1
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
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
2
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
4
2
1
1
1
2
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
4
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
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
103
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
3
1
3
3
1
2
1
2
1
1
1
2
3
4
1
1
1
1
3
1
1
1
2
4
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
2
2
1
6
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
6
1
1
11
1
2
3
3
1
2
5
1
1
4
2
5
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
3
1
3
1
97
10
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
4
5
2
1
1
2
1
2
1
1
1
3
1
1
1
24
1
1
1
2
1
3
179
1
1
1
2
3
1
2
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
8
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
21
1
1
1
2
1
1
1
5
2
1
1
1
1
1
3
1
1
1
1
2
357
256
2
1
1
1
2
3
47
3
1
1
1292
1
3
1
1
1
1
1
1
1
2
2
1
286
1
2
1
1
1
4
2
1
4
1
2
6
1
4
2
2
1
2
1
1
1
1
1
1
150
1
1
1
3
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
2
1
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
1
2
4
1
2
1
1
1
1
3
1
1
2
1
1
5
1
21
8
3
1
1
1
1
4
12
16
3
1
1
1
1
2
11
3
1
2
14
1
1
1
4
1
1
1
3
1
1
2
1
1
1
1
2
80
4
1
1
2
3
4
1
1
1
2
3
1
1
1
2
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
6
1
1
3
1
25
1
18
1
1
1
7
1
2
1
2
1
1
1
2
2
2
1
3
6
1
1
2
1
1
2
8
1
2
4
59
1
1
2
2
3
1
2
1
2
1
3
3
5
1
1
4
6
1
1
1
8
2
1
1
1
2
7
1
1
6
2
1
1
2
1
1
1
1
7
2
1
1
1
2
2
1
3
1
6
10
1
1
4
2
1
2
5
1
1
1
1
4
1
2
3
1
1
1
1
1
6
4
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
5
4
2
1
1
1
10
3
3
1
1
1
2
1
2
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
5
4
1
1
1
1
1
7
3
1
2
1
1
1
2
1
1
4
1
2
1
13
1
1
1
2
2
4
2
4
2
1
4
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
3
1
1
15
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
2
1
1
1
2
3
4
1
4
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
4
3
1
2
1
4
1
1
1
1
2
1
1
4
1
1
2
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
6
5
1
1
2
18
1
1
7
1
3
2
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
3
3
1
2
1
1
4
1
3
2
8
3
2
8
2
3
1
10
1
1
1
1
5
1
1
1
1
2
1
6
1
3
1
1
7
1
1
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
2
2
2
1
4
3
3
1
5
1
6
1
1
3
1
3
21
4
1
7
1
1
4
3
2
3
1
1
2
4
4
1
1
1
1
1
3
1
1
5
4
3
3
1
1
1
4
1
3
2
2
1
1
1
1
89
2
1
1
5
15
28
1
1
2
1
3
1
1
1
3
2
1
5
8
3
2
1
1
3
1
1
1
2
2
1
2
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
2
3
1
1
1
21
2
1
1
1
81
1
16
1
1
1
1
8
1
2
1
5
1
9
1
3
1
4
1
9
1
94
1
1
3
1
2
1
4
1365
1
3
1
1
1
2
15
1
2
9
72
1
1
1
1
1
3
1
4
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
1
4
1
3
6
3
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
3
2
1
2
1
9
3
1
1
2
1
1
1
2
1
2
2
1
1
1
1
7
7
2
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
2
1
1
2
4
1
1
2
9
2
8
3
1
1
1
1
2
2
1
9
4
1
2
1
2
3
1
1
1
5
1
49
2
1
1
1
2
5
1
1
1
2
1
1
4
4
1
1
10
1
2
3
1
1
1
2
46
2
1
1
1
1
2
1
6
6
1
1
1
1
1
8
2
1
1
1
1
2
2
2
1
2
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
112
2
7
1
4
1
1
2
1
1
2
44
2
1
1
1
11
1
1
2
2
13
10
1
1
2
1
1
3
4
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
18
1
2
1
1
1
22
2
6
1
1
2
1
2
1017
1
5
1
1
2
1
1
1
1
1
24
1
2
2
6
5
1
1
1
46
16
3
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
4
2
1
1
3
1
2
1
1
5
3
1
1
4
1
1
1
2
1
2
1
1
6
1
1
2
4
1
1
1
4
2
8
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
2
11
1
1
2
1
1
1
38
1
2
1
2
1
2
2
1
1
1
1
1
1
1
2
2
2
1
2
1
1
2
4
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
4
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
2
1
1
1
4
3
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
2
1
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
18
1
1
2
1
1
1
1
1
1
3
2
3
1
1
1
2
2
1
1
1
1
1
3
3
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
5
2
2
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
2
2
2
1
5
3
1
3
1
1
1
1
1
3
1
1
2
4
4
2
1
1
1
1
1
6
2
1
1
2
2
1
1
1
1
1
1
1
1
1
14
1
2
1
4
1
1
3
1
1
1
3
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
3
2
1
1
2
2
1
4
4
3
4
4
1
1
1
2
1
1
1
1
5
2
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
4
1
1
1
1
1
5
2
1
1
2
2
3
1
1
1
4
1
1
1
1
1
2
1
1
5
1
1
3
1
1
2
4
1
3
2
1
3
1
1
1
2
2
4
1
2
1
1
1
1
7
1
4
2
1
12
2
2
1
2
1
3
2
1
1
2
1
1
1
3
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
13
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
20
1
1
5
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
4
1
2
15
1
1
2
1
3
1
1
1
1
2
1
3
5
1
1
1
3
3
3
1
1
1
1
1
2
1
1
1
14
1
12
2
1
1
4
1
1
1
1
1
6
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
2
4
2
1
55
1
1
1
2
1
24
2
1
3
5
5
1
2
1
3
1
1
3
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
2
2
2
1
1
1
1
1
2
1
1
1
3
3
1
2
1
1
1
1
2
1
1
1
1
1
1
5
3
4
1
2
5
7
4
1
1
12
1
1
5
2
1
1
1
2
1
1
1
1
1
1
1
4
1
2
17
2
2
4
3
13
3
1
1
3
1
2
4
1
6
1
35
2
2
1
69
1
1
1
1
1
2
1
1
1
1
1
1
1
766
477
1
2
1
1
1
1
1
1
3
2
1
2
1
1
1
1
1
1
1
2
1
8
1
1
1
1
2
1
5
4
15
1
20
2
1
1
11
8
2
1
3
5
1
8
1
1
1
1
3
1
1
1
7
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
2
1
2
1
1
2
5
1
1
200
1
1
18
1
9
112
3
1
4
1
5
1
3
1
4
3
1
5
3
1
1
4
7
4
1
11
3
2
1
1
1
2
3
2
1
2
1
1
1
1
1
1
2
1
2
8
1
1
1
3
2
1
1
1
1
1
1
3
1
1
3
1
1
6
1
1
1
1
2
2
2
3
1
1
1
1
7
8
1
3
2
14
1
3
1
1
2
1
6
1
1
1
1
3
1
1
1
1
3
1
12
1
1
1
2
18
1
1
1
3
1
1
2
3
2
3
3
2
2
1
525
3
1
6
1
1
34
1
1
1
1
5
21
1
1
2
1
12
1
1
1
1
2
7
3
1
1
3
1
3
1
1
1
1
1
1
3
1
2
4
1
1
10
2
2
9
1
4
1
3
1
2
1
2
1
1
1
1
2
1
1
1
1
5
2
2
1
1
1
3
3
1
2
4
2
2
7
1
6
13
2
1
1
6
3
50
2
3
13
1
1
1
1
1
1
2
7
8
1
1
1
1
1
1
1
7
3
1
1
1
15
2
1
1
2
2
1
1
1
3
1
1
1
3
2
1
12
1
1
1
3
3
1
6
1
1
3
2
3
2
1
3
1
1
1
165
2
1
1
2
1
1
1
1
1
2
3
1
1
86
1
4
4
1
3
1
2
1
19
1
1
1
78
4
1
4
1
1
2
3
1
3
126
2
20
39
1
3
2
1
55
1
1
8
1
1
4
1
1
1
1
1
1
2
3
7
1
2
1
1
1
1
1
1
1
1
3
5
1
2
1
1
2
3
3
5
1
1
2
1
2
19
1
10
1
1
1
1
3
2
1
1
1
2
8
1
1
1
1
3
1
1
1
2
1
2
1
1
3
2
1
1
1
1
1
5
1
12
6
4
1
1
1
1
2
1
3
12
5
1
1
2
5
1
1
3
1
1
1
1
4
1
1
472
29
2
1
1
2
1
1
5
1
1
1
22
1
1
1
2
1
1
1
2
3
3
1
1
2
4
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
23
1
1
1
1
2
1
1
3
1
37
8
1
1
1
1
1
1
1
1
1
5
2
3
1
1
3
2
1
1
1
1
1
3
1
1
2
1
1
1
2
5
1
2
2
1
2
1
1
2
1
1
1
1
1
1
3
1
1
2
3
1
1
1
2
1
2
6
3
2
1