1
1
1
2
3
2
4
1
1
2
1
1
1
1
4
2
2
2
3
1
1
1
2
2
1
1
1
1
1
1
2
5
1
1
1
2
2
1
50
1
1
1
1
1
4
1
1
2
1
2
1
5
2
1
1
1
1
8
2
1
2
8
1
1
1
1
1
263
2
4
1
2
2
1
1
1
1
1
3
1
3
1
1
7
3
1
60
1
2
2
2
3
1
1
1
1
5
1
1
1
3
2
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
2
2
1
2
8
1
2
1
1
1
2
1
1
1
6
47
1
3
2
4
2
2
1
7
4
1
2
1
1
1
3
4
19
2
1
1
6
2
5
2
2
1
2
1
1
2
33
1
1
27
1
1
2
5
1
3
1
1
1
1
1
2
13
9
3
2
1
4
1
1
2
2
1
1
1
1
1
3
1
1
1
9
1
1
2
1
2
2
4
1
14
3
1
1
1
1
1
2
2
2
1
1
1
1
2
1
8
1
1
2
1
4
1
1
1
1
10
1
1
1042
3
1
1
4
1
1
1
1
1
1
2
1
1
1
3
26
3
2
1
1
1
1
1
1
4
1
1
5
1
1
1
6
9
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
2
3
5
1
36
1
1
6
5
1
2
1
4
8
1
1
3
2
1
47
2
2
1
3
2
1
11
1
1
7
1
1
2
13
1
2
2
2
1
1
1
10
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
2
5
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
391
2
1
1
1
4
2
5
1
1
2
1
6
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
4
1
2
1
1
1
2
1
1
1
6
1
1
1
17743
2
1
1
2
1
3
1
3
1
2
13
1
1
1
2
1
3
102
1
1
1
1
2
1
1
6
1
1
1
1
2
2
2
2
2
1
1
1
1
1
1
1
22
1
1
1
5
1
1
1
1
1
1
1
1
10
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
5
1
1
1
1
1
2
1
24
1
3
1
1
1
3
2
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
8
1
1
1
1
1
1
7
1
2
7
1
1
1
1
1
1
1
1
2
1
4
1
1
1
2
1
2
3
1
2
1
5
1
1
1
1
1
2
1
1
1
1
4
1
1
59
1
1
1
1
1
2
1
2
1
1
1
1
1
1
4
1
1
1
9
1
2
1
7
20
1
1
1
1
1
2
3
1
13
7
1
3
7
3
1
3
1
1
4
7
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
3
3
1
1
3
1
1
2
1
1
3
3
1
1
2
1
3
1
1
3
5
7
2
1
1
2
2
1
1
1
26
2
1
7
3
1
1
1
1
1
2
1
59
16
1
1
1
1
1
3
1
9
6
2
1
4
1
2
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
603
1
1
2
2
1
1
9
1
3
1
1
2
1
1
1
2
2
1
2
2
1102
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
1
1
2
5
1
3
1
1
2
2
1
11
4
3
1
1
1
1
1
1
1
1
1
5
1
1
1
6
1
1
1
1
2
1
2
4
1
1
3
3
1
1
1
4
2
33
1
22
9
4
7
6
7
7
1
3
2
1
1
7
2
13
1
1
3
1
1
1
2
1
4
1
5
1
4
3
1
1
4
2
1
1
2
1
1
4
2
1
1
1
1
2
4
2
3
1
1
2
1
1
1
34
1
1
1
1
1
3
1
2
1
2
1
2
1
3
1
2
1
1
1
1
1
2
3
5
1
1
1
1
1
1
1
1
7
8
2
1
1
1
4
2
1
1
1
1
9
1
1
3
1
1
3
1
3
62
1
2
6
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
16
7
1
2
1
1
1
1
1
1
3
4
2
5
4
2
5
3
7
1
1
1
1
1
1
1
1
1
14
1
1
2
1
54
1
1
1
3
1
2
1
1
5
1
1
1
1
15
1
1
2
1
1
7
1
1
1
9
1
1
1
2
1
1
2
2
1
1
1
1
2
2
1
9
1
1
1
1
3
1
1
1
2
4
1
1
3
28
11
4
1
5
2
3
4
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
1
2
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
3
1
1
1
19
1
1
1
2
1
1
1
2
1
1
6
1
1
1
1
1
1
3
1
1
1
3
1
1
296
1
1
10
1
1
1
5
1
1
2
22
1
13
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
3
4
1
3
1
2
1
1
1
2
3
1
1
361
2
1
1
1
1
1
1
1
1
83
1
1
1
3
1
1
1
1
1
1
2
1
2
5
1
1
1
4
1
39
21
4
1
1
1
1
1
31
2
1
2
1
1
1
3
2
6
1
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
19
1
52
1
1
1
1
1
1
1
2
1
7
7
3
2
1
1
3
1
1
1
3
1
5
5
5
3
10
1
1
8
1
3
6
1
7
35
649
7
1
3
1
1
1
1
2
1
1
23
1
1
3
1
4
1
1
1
1
1
1
3
1
1
1
2
1
66
1
2
1
1
1
1
1
1
1
2
1
1
11
1
162
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
4
1
4
7
1
1
1
6
2
1
11
1
5
3
1
1
1
1
2
1
28
2
1
1
1
1
3
1
1
1
9
1
1
2
1
2
2
3
1
2
1
1
1
3
1
1
273
1
2
2
3
1
3
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
5
8
1
3
1
1
23
1
1
10
2
1
3
2
1
1
15
1
7
1
1
1
3
2
1
1
1
1
1
1
1
1
2
6
1
7
1
1
2
1
2
2
1
2
1
1
2
6
1
1
1
4
1
1
1
1
1
15
1
1
1
2
2
1
1
1
4
1
3
5
1
1
1
1
1
1
1
1
1
3
4
2
1
1
1
1
1
1
9
1
1
1
1
1
1
40
1
1
1
1
1
10
2
2
3
1
1
1
13
1
1
2
2
4
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
8
1
1
2
1
1
2
3
1
3
1
12
2
1
1
9
1
1
1
2
4
4
1
1
1
2
1
1
38
33
142
1
1
1
1
1
1
2
1
39
65
1
1
1
1
12
339
2
2
2
1
1
1
1
1
1
1
1
1
1
988
1
1
1
255
1
1
1
1
1
1
1
1
1
2
89
1
1
1
1
2
12
88
1
1
1
1
1
1
9
1
1
1
5
6
1
5
3
2
1
1
3
1
2
1
1
3
2
13
1
2
1
2
1
1
1
2
1
1
1
1
1
44
2
1
2
6
1
5
1
1
1
2
3
1
1
2
1
1
1
2
6
2
1
2
3
3
3
1
2
1
1
2
2
8
1
1
1
1
1
1
2
1
2
1
1
1
4
1
1
7
1
2
2
2
1
1
2
2
3
1
3
2
2
316
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
2
2
1
2
1
1
851
1
1
2
1
1
2
1
5
1
1
1
1
1
1
4
1
4
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
7
1
2
1
5
5
3
2
6
2
5
1
8
1
5
1
1
11
2
1
2
1
3
2
1
1
1
13
10
1
1
6
13
1
2
1
1
4
35
1
1
2
3
1
4
1
1
1
1
1
1
3
3
1
1
1
4
2
1
1
5
1
1
4
1
1
1
1
5
2
45
1
1
2
2
1
2
1
2
1
1
1
3
1
1
12
1
1
1
1
1
1
2
1
2
1
46
6
1
1
1
2
1
1
1
1
2
1
1
1
1
1
7
1
1
2
5
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
1
1
1
2
2
3
3
1
1
1
1
4
3
2
7
1
3
1
2
1
6
2
1
5
1
1
1
1
1
2
1
1
8
1
6
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
67
5
1
7
5
11
1
2
11
1
53
2
27
3
4
4
2
2
1
3723
1
1
2
1
1
26
1
24
2
3
1
1
5
1
1
2
1
2
2
1
9
1
3
223
5
1
1
1
1
1
1
2
2
5
1
1
2
1
1
12
1
6
1
1
4
1
2
1
6
1
1
2
5
43
1
1
21
1
1
2
2
1
1
1
12
1
1
1
2
1
5
1
1
1
1
4
1
2
2
1
1
2
10
1
1
11
1
1
1
3
22
1
1
1
1
3
2
1
1
1
1
1
2
3
1
1
6
1
1
1
1
5
1
2
1
2
1
1
3
1
1
1
1
5
1
4
1
1
1
1
1
1
1
135
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
2
5
1
1
4
1
1
1
1
2
5
1
6
2
4
2
1
1
35
1
2
8
1
1
1
1
1
1
1
1
2
1
8
1
1
4
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
3
2
2
3
1
2
33
5
1
3
1
1
3
1
1
1
1
5
1
1
4
11
3
9
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
14
3
1
1
2
1
1
17
8
2
1
10
1
16
1
2
1
1
3
1
3
1
1
3
1
2
15
1
1
1
1
1
2
1
1
1
5
1
19
1
1
1
1
3
1
1
1
1
5
25
1
1
1
1
3
2
1
1
1
1
2
2
3
3
2
1
1
1
1
2
3
1
2
1
1
4
1
3
1
2
1
2
2
3
2
2
1
1
1
2
1
1
1
1
16
1
1
2
1
1
3
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
6
1
1
3
5
1
1
2
3
1
1
1
19
2
11
1
1
1
3
7
1
1
7
2
1
2
1
1
6
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
5
1
1
1
1
56
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
2
7
1
1
1
1
789
1
1
3
1
2
1
1
1
2
1
1
1
33
67
1
7
2
3
1
1
1
1
1
1
2
1
2
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
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
5
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
3
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
4
1
1
1
1
1
1
3
3
1
1
1
1
2
1
2
1
1
5
1
1
1
3
1
5
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
4
1
2
1
1
1
1
1
1
1
1
1
2
2
1
5
1
1
1
1
1
2
87
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
2
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
2
1
3
2
1
5
5
1
2
2
2
1
1
1
2
4
2
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
1
41
2
2
404
1
1
1
1
1
2
1
1
2
2
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
2
1
2
1
1
2
1
3
1
1
2
7
1
5
1
3
1
1
1
1
2
1
1
1
1
1
3
3
2
1
2
5
3
5
1
1
3
1
9
1
1
1
7
5
2
29
1
2
13
1
1
1
1
1
5
7
2
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
2
1
5
2
1
1
1
2
6
1
4
10
12
1
25
1
4
1
2
2
2
2
1
3
1
1
1
2
1
1
1
1
1
1
62
1
1
1
4
2
2
1
1
1
1
10
6
1
1
1
1
1
1
1
2
1
2
3
2
4
4
3
3
3
1
5
12
3
2
1
1
1
1
1
1
1
22
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
2
1
1
4
1
120
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
6
2
4
1
4
1
1
1
2
1
6
1
2
2
2
1
1
1
4
3
8
2
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
3
1
9
1
11
12
4
4
2
5
2
1
1
3
1
27
1
12
1
4
3
1
2
3
1
3
1
56
1
2
1
2
3
1
31
1
1
3
1
1
1
1
1
3
2
1
4
1
1
3
4
2
1
1
1
4
1
1
3
1
1
11
4
3
1
3
1
1
1
1
47
3
1
1910
14
1
5
3
1
2
7
1
1
3
1
1
4
12
4
2
1
1
2
1
4
1
1
3
1
1
1
1
2
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
2
1
2
1
2
1
1
3
1
1
1
1
1
1
2
1
5
2
1
1
1
1
1
1
1
1
1
34
1
4
3
1
1
1
1
1
1
4
1
4
1
2
1
10
4
1
1
2
1
1
1
1
2
1
6
1
1
1
1
1
1
2
1
3
1
7
1
1
1
1
19
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
3
3
1
3
2
1
3
1
1
1
1
2
1
1
3
3
1
2
1
1
1
3
1
1
7
1
1
3
1
1
6
1
1
1
1
1
1
1
2
1
1
2
1
1
6
2
1
1
1
1
1
4
1
1
4
1
1
1
1
1
2
1
2
2
1
3
1
2
1
3
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
10
1
2
2
1
1
4
1
1
2
2
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
3
1
4
1
1
4
1
2
1
1
1
2
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
2
1
1
2
1
1
1
1
1
5
1
2
28
17
3
2
1
2
1
3
1
1
1
1
1
1
1
3
2
1
2
2
1
1
2
2
5
13
14
9
1
1
1
2
2
1
8
1
1
1
6
4
3
1
2
7
1
2
1
1
1
1
1
4
5
1
1
6
3
1
2
6
2
1
3
1
1
1
2
1
1
1
1
1
1
5
1
3
1
1
1
1
2
1
2
3
1
2
18
1
1
2
5
2
1
6
1
1
1
1
2
1
1
2
20
1
1
2
1
1
1
3
1
1
1
1
1
2
1
3
33
1
2
2
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
4
16
1
5
6
1
1
1
1
4
1
1
2
2
2
2
21
1
1
4
1
2
1
1
1
1
1
1
2
2
5
7
3
2
1
2
2
2
1
30
1
1
1
4
2
3
1
2
1
1
1
6
2
2
1
1
1
1
1
1
2
5
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
3
6
1
3
2
1
1
1
21
1
4
1
2
2
87
1
3
1
1
1
1
45
1
1
1
2
1
1
1
1
1
2
3
1
1
2
19
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
