2
1
1
1
2
1
1
3
1
1
1
1
2
2
1
1
4
1
1
2
3
4
1
2
2
1
1
4
1
2
1
1
1
1
3
1
1
1
11
1
1
1
4
1
1
1
1
4
4
2
3
1
3
1
2
1
1
1
1
1
3
1
1
1
4
2
1
1
246
2
1
2
4
1
1
1
1
1
1
1
1
2
1
1
16
4
2
52
1
2
3
5
1
3
27
1
1
2
1
2
3
2
1
13
1
1
1
1
1
1
1
3
1
1
1
2
7
2
1
1
1
1
1
6
46
2
1
2
1
3
1
3
2
1
2
1
6
2
2
2
2
3
1
1
7
1
10
1
1
2
7
1
1
2
1
1
1
1
1
41
35
1
1
1
1
1
1
1
2
2
1
3
2
1
1
16
7
1
1
1
1
1
1
1
1
1
1
3
1
7
1
3
2
3
1
4
6
1
7
2
2
3
2
1
1
1
1
1
3
1
4
2
8
2
1
1
1
5
1
1
1
4
3
1
5
1
1
1
2
1110
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
29
1
93
2
3
12
1
2
1
2
4
1
1
2
7
4
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
1
178
1
1
2
1
1
3
2
8
1
1
1
1
1
34
1
7
1
1
3
6
1
1
2
2
80
1
1
1
1
3
1
1
5
2
3
6
1
1
2
1
2
1
3
1
5
1
1
1
1
1
11
1
1
3
1
1
2
1
1
1
2
1
1
1
2
1
1
5
1
1
1
1
1
3
4
1
1
1
1
3
1
1
1
2
1
1
1
1
379
1
1
1
1
2
3
1
1
1
1
1
3
1
1
1
2
6
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
4
2
42
1
1
2
1
1
1
4
1
3
17623
7
1
4
1
1
2
1
1
6
2
2
1
107
1
1
4
2
1
12
1
1
4
1
1
2
3
1
1
1
1
23
1
3
1
5
2
1
9
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
2
3
1
1
1
1
28
2
2
4
3
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
16
2
1
1
1
1
2
1
2
1
4
2
3
1
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
2
31
1
4
2
1
6
9
1
1
1
1
1
7
1
1
1
1
1
20
48
1
1
1
1
1
1
1
1
1
1
1
2
2
5
1
1
1
4
1
1
1
1
10
33
1
1
1
1
1
1
1
7
6
4
3
5
2
1
1
4
4
2
1
2
2
1
1
1
1
1
1
1
1
1
6
2
1
1
1
4
1
1
1
2
1
4
4
9
1
2
1
1
4
1
21
1
1
1
1
2
1
1
5
2
1
1
1
1
1
1
1
46
45
19
18
1
1
1
1
2
7
7
4
1
1
3
1
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
130
612
1
1
1
3
1
11
2
2
1
1
1
2
2
1
2
1
1
2
507
1158
12
1
1
3
2
2
1
1
1
2
1
2
7
1
1
1
1
1
1
2
1
1
1
1
3
1
13
1
3
1
1
1
1
1
1
1
3
6
1
1
12
1
2
1
2
1
1
1
2
3
2
3
2
26
15
11
2
10
7
4
2
2
1
15
1
3
1
3
4
4
1
1
1
1
3
1
1
1
4
1
1
8
3
1
1
3
2
1
1
2
1
1
1
1
1
6
1
28
1
1
3
2
2
1
1
1
2
1
7
6
1
2
1
1
2
1
1
1
1
2
3
1
1
1
2
1
1
2
1
1
5
14
5
1
2
1
6
1
4
3
1
1
2
72
1
1
1
1
1
2
1
1
1
1
2
2
1
2
2
3
1
16
11
2
3
1
2
1
1
1
6
1
1
1
2
8
1
3
1
3
2
2
1
1
2
1
1
1
11
13
1
1
63
1
1
1
1
1
1
1
1
1
1
15
1
1
10
2
2
2
1
1
1
1
1
2
1
1
1
2
8
2
2
1
1
1
1
1
1
1
2
2
1
2
3
26
5
3
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
5
70
1
1
1
6
1
1
1
1
19
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
1
3
2
1
1
489
305
4
11
1
1
1
45
5
1
1
44
18
1
2
12
2
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
2
464
319
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
79
1
2
2
2
128
2
1
1
1
5
5
1
1
1
8
1
1
1
30
1
25
4
1
2
1
1
2
1
15
1
1
81
1
1
1
1
1
1
2
1
2
4
1
1
1
2
1
3
6
1
1
1
1
1
1
4
1
1
89
424
1
1
2
1
2
1
1
2
1
1
1
1
1
26
1
167
57
2
1
1
1
2
1
1
6
5
2
1
1
1
7
1
1
1
1
1
1
4
2
4
2
5
5
9
4
1
6
2
1
1
1
1
5
4
2
2
41
1076
647
11
1
1
1
1
1
1
1
1
6
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
130
82
1
1
1
1
1
3
2
155
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
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
2
1
7
7
1
3
1
2
135
1
2
13
5
6
1
1
1
1
1
32
1
2
1
4
6
1
2
1
1
1
1
8
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
331
280
2
1
3
1
1
1
3
2
1
2
1
1
1
1
2
1
1
1
2
1
1
4
1
3
9
7
1
1
18
5
2
2
1
2
1
4
1
1
1
1
7
1
1
3
4
2
2
3
3
1
1
1
1
1
8
2
7
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
4
1
1
1
1
1
14
1
1
1
3
2
4
1
1
4
1
1
1
2
1
1
1
1
4
2
1
1
1
6
3
1
1
1
1
1
1
1
1
4
29
1
4
2
1
1
33
1
2
1
1
2
2
1
1
5
1
1
1
2
764
2
1
1
2
14
3
1
2
2
1
1
7
5
1
1
1
1
2
1
1
1
1
1
2
2
2
1
300
1
1
7
1
1
6
1
1
1
1
1
3
1
6
1
2
5
1
1
1
3
1
4
2
1
17
3
4
1
1
2
3
1
1
1
3
1
37
29
1
133
1
3
1
1
18
31
58
1
1
1
1
18
300
1
2
1
2
2
1
2
1
78
1061
1
1
1
269
1
1
1
1
1
1
1
1
1
96
87
2
2
14
1
83
73
1
2
2
381
1
1
1
12
1
2
2
1
1
3
2
2
1
1
1
2
1
325
350
1
1
12
3
3
2
1
2
1
2
5
1
2
1
1
1
4
1
1
1
30
1
2
2
1
1
1
2
1
1
3
1
2
1
1
3
2
2
1
1
1
6
3
1
1
2
7
1
1
3
1
1
1
5
1
2
2
5
1
2
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
2
4
1
6
5
1
1
1
1
1
1
1
1
782
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
9
1
1
1
1
3
4
6
1
1
14
1
1
2
1
1
1
3
2
1
1
18
1
2
1
1
3
2
1
3
15
3
7
1
1
2
1
1
18
3
2
32
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
1
1
1
6
5
2
1
1
3
1
46
1
1
4
3
1
1
3
2
1
1
1
1
7
1
2
1
1
1
2
1
50
1
1
1
1
1
1
1
1
1
1
37
2
2
2
1
1
1
4
1
1
1
256
1
6
6
20
4
1
3
1
1
1
2
2
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
2
1
1
2
1
1
3
2
1
1
1
1
1
2
2
1
1
2
3
1
1
1
1
1
1
1
1
1
7
2
1
2
1
1
1
2
2
1
3
1
2
2
1
2
4
1
1
54
1
1
2
1
1
3
5
1
1
16
12
1
1
4
1
1
30
4
3
3
3
2
1
2
3863
2
1
33
21
1
1
1
5
2
14
2
4
1
1
172
1
1
2
1
1
1
1
1
1
1
1
3
7
4
1
1
1
7
2
1
1
5
1
5
1
1
1
3
1
3
1
1
1
1
1
2
6
3
1
11
3
3
1
44
2
1
13
1
2
1
1
1
2
1
1
1
142
2
15
2
1
3
3
2
1
1
1
2
1
1
4
11
3
7
3
1
2
1
2
1
1
1
19
1
1
1
2
1
1
1
1
2
3
4
1
1
2
1
1
1
1
3
1
1
1
1
2
1
5
1
1
1
130
1
1
1
2
1
1
2
2
1
1
1
1
3
1
1
1
2
1
2
1
1
2
2
1
2
1
1
1
1
1
3
1
2
1
1
4
1
1
1
1
1
2
1
1
1
183
35
1
1
8
1
1
3
1
1
3
1
2
1
1
2
13
1
5
1
1
1
1
1
1
1
2
1
18
1
1
1
1
1
3
1
1
1
2
1
2
3
1
3
60
1
7
1
28
2
4
1
1
2
1
1
1
1
3
1
1
9
6
1
1
12
3
1
2
1
9
1
1
2
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
15
2
4
1
2
1
14
3
97
1
6
13
1
2
1
1
1
2
1
16
2
1
1
2
1
1
14
1
1
1
1
1
6
1
1
1
1
3
12
1
1
30
20
1
1
1
1
1
1
2
1
1
11
6
1
1
1
1
14
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
18
2
2
1
2
1
1
3
1
1
3
1
1
1
1
3
5
7
1
1
1
1
2
1
3
1
3
1
5
1
1
3
3
4
1
6
1
1
1
1
1
2
1
2
1
1
1
25
2
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
29
1
3
11
1
2
21
1
1
3
2
1
2
1
1
1
3
1
1
1
3
1
2
3
1
1
3
1
1
2
1
1
1
2
2
1
1
1
1
2
1
1
2
2
50
1
1
2
2
1
2
2
1
2
1
1
4
1
1
1
1
5
1
4
1
232
777
1
2
2
2
1
2
2
1
1
5
20
29
4
36
62
19
7
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
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
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
3
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
4
2
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
1
1
1
1
1
3
3
2
1
1
2
1
1
1
1
1
1
2
3
1
2
2
1
1
7
1
1
6
1
2
1
2
1
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
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
2
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
72
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
8
1
3
1
1
1
1
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
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
2
2
6
1
1
1
2
3
2
1
1
2
1
1
5
1
2
1
1
1
1
1
2
1
1
1
1
7
1
2
1
1
1
1
1
1
1
1
2
2
2
1
1
1
4
1
1
1
1
4
1
1
1
1
3
2
1
1
252
35
265
1
2
355
142
2
3
1
1
2
1
2
2
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
8
1
1
4
1
9
2
1
1
1
3
11
1
1
1
1
1
1
1
2
1
52
2
1
2
2
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
8
1
2
4
2
2
1
1
26
1
8
1
1
1
2
1
3
6
2
2
2
1
2
1
1
1
1
1
1
1
2
4
11
2
1
1
2
2
4
1
7
1
1
1
7
3
5
4
14
1
27
1
1
3
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
53
1
1
1
1
1
3
1
4
2
2
3
1
9
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
4
3
1
2
1
1
1
38
1
1
3
2
3
4
14
1
1
5
1
1
1
1
1
1
19
1
1
2
2
1
1
1
2
1
1
1
3
1
3
1
1
3
1
2
6
170
1
3
3
2
1
1
2
1
1
5
1
2
2
1
1
1
2
1
19
4
1
1
2
1
1
1
1
2
1
5
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
8
1
1
14
9
9
4
1
8
1
3
1
1
1
1
1
1
29
1
14
1
4
1
2
1
2
3
1
56
1
1
1
1
6
1
21
3
2
1
3
1
2
1
5
1
2
3
5
1
1
1
7
1
1
1
1
2
5
15
1
1
2
1
1
1
6
53
30
1
1
1
3
1281
1951
1
1
1
2
1
47
9
1
1
6
1
1
2
1
2
1
6
1
4
1
2
2
15
1
1
1
1
6
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
3
2
1
18
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
2
1
4
1
1
1
49
1
2
1
1
1
1
1
2
1
1
1
1
4
2
1
1
1
5
4
12
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
2
3
1
1
1
1
1
2
1
17
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
4
2
1
1
2
2
3
5
1
1
1
3
3
3
1
3
1
1
1
1
1
1
1
8
2
1
1
2
3
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
1
2
4
2
2
6
1
1
1
11
1
4
1
2
1
1
2
1
11
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
3
2
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
2
1
1
1
1
4
1
6
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
14
1
1
5
3
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
4
2
1
2
1
1
1
3
2
1
5
1
7
1
1
32
2
25
1
2
1
1
2
2
2
1
1
1
1
1
1
2
667
1
11
2
9
45
24
1
1
1
1
1
1
2
1
30
3
5
1
12
1
21
1
5
1
1
1
2
1
4
1
3
3
2
3
2
129
1
1
1
1
2
1
3
2
1
2
1
1
7
14
3
1
4
3
3
1
2
1
13
1
1
4
1
1
4
1
1
1
1
1
1
1
2
20
1
3
2
2
1
2
1
5
3
1
3
24
2
1
1
1
1
3
25
3
1
1
1
2
2
2
1
2
2
3
19
3
1
3
2
1
7
1
5
5
4
18
1
1
45
2
1
1
1
1
3
1
1
1
2
14
2
2
3
5
2
33
2
1
1
2
1
1
64
1
1
3
2
3
3
1
52
1
5
3
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
4
2
3
1
1
1
4
1
4
1
1
6
1
1
17
1
1
1
91
1
1
1
49
1
1
3
2
2
2
1
24
6
1
1
1
1
2
6
1
1
1
1
5
2
1
1
