5
1
1
1
3
3
1
1
1
2
15
46
1267
2
1
4
3
12
7
2
15
1
84
30
1
7
7
2
9
4
1
3
2
1
28
43
2
2
2
4
3
1
1
1
1
1
56
2
1
1
1
2
2
2
1
1
1
1
2
1
3
1
1
3
1
6
1
1
1
4
1
2
1
1
1
79
1
1
1
2
17
4
2
1
1
1
1
2
1
1
4
1
1
1
1
2
13
4
2
5
1
2
2
1
1
1
1
3
2
1
2
1
4
4
1
1
1
1
1
2
3
1
1
2
1
1
1
2
2
16
1
1
2
1
1
3
1
2
1
9
1
4
6
22
2
1
1
8
1
2
1
1
1
1
6
2
1
1
2
1
1
2
1
5
3
1
1
1
2
7
6
3
1
4
9
1
1
2
1
2
1
1
13
1
3
4
1
1
1
2
1
3
2
1
1
1
2
3
1
1
1
2
2
2
2
4
8
1
1
1
5
1
18
2
5
1
3
20
13
1
2
3
2
1
1
1
3
5
2
1
44
1
1
1
1
27
1
1
1
9
1
1
1
1
1
11
3
1
2
5
1
16
2
1
1
1
2
3
1
1
14
1
1
16
2
3
1
1
5
1
3
1
3
1
1
1
2
15
1
1
1
5
2
1
7
1
2
1
2
12
2
1
1
2
1
4
1
1
1
1
1
1
1
1
2
1
1
1
25
7
1
2
1
1
9
1
1
9
1
1
5
1
1
1
12
3
3
1
1
2
1
1
2
1
1
2
1
16
1
1
83
1
2
1
1
1
1
2
1
1
1
1
1
2
5
3
5
3
1
1
1
1
24
3
2
1
2
1
1
1
2
1
2
172
1
1
5
1
1
1
2
1
2
2
1
7
1
6
1
2
37
2
1
1
2
5
29
1
1
1
2
1
1
1
2
1
27
9
2
1
1
1
1
1
1
1
138
1
3
1
1
2
9
1
3
1
2
1
1
7
1
3
1
1
2
6
1
2
6
99
3
1
2
1
1
2
26
1
28
4
1
1
2
2
1
1
1
1
1
2
3
1
1
1
1
2
1
5
1
1
1
2
7
1
2
2
16
2
1
9
3
1
26
289
29
1
1
3
1
1
4
1
1
1
1
1
1
1
2
3
1
2
6
3
1
1
3
1
1
2
3
11
2
4
1
2
1
1
1
2
2
3
1
13
1
1
1
1
2
1
1
1
4
2
1
1
1
1
6
1
1
1
5
2
1
27
2
1
1
1
1
1
3
1
1
1
2
6
1
3
1
1
1
2
2
1
3
6
2
711
1
2
1
5
1
1
1
3
2
2
5
2
1
19
1
1
2
2
2
4
1
1
4
1
13
1
1
1
1
1
2
1
3
1
1
4
2
1
1
2
2
1
1
1
1
1
2
41
6
47
2
1
3
2
18
1
1
5
1
1
44
1
1
1
1
1
1
2
2
5
1
1
2
1
1
1
1
1
4
2
1
1
5
2
1
2
1
3
2
3
1
4
3
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
3
1
3
1
15
186
1
1
1
1
5
1
1
2
8
3
1
3
1
1
1
3
2
1
1
1
13
2
1
1
1
2
13
1
1
2
1
1
1
2
1
1
3
2
2
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
78
1
1
1
1
2
2
1
1
3
2
2
3
1
1
1
33
147
1
1
5
1
1
2
3
1
4
1
15
1
2
2
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
5
1
1
2
2
2
1
1
6
2
3
4
1
29
1
4
11
1
5
5
1
1
2
88
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
22
1
1
3
8
6
46
1
179
1
1
1
2
1
1
1
2
3
1
6
1
2
1
1
1
2
1
4
1
1
1
2
6
1
1
1
1
16
1
3
1
3
2
27
2
4
1
2
2
2
1
1
1
2
3
2
1
1
2
2
2
3
3
2
4
4
1
6
2
2
1
1
6
1
2
1
1
1
1
2
4
1
2
3
2
1
1
1
1
1
4
1
2
1
4
1
1
1
1
1
3
5
1
5
2
6
2
2
3
7
5
3
1
3
1
2
1
4
1
18
1
2
1
1
8
2
1
3
1
1
1
1
1
1
1
1
1
8
1
1
1
8
1
2
1
5
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
8
1
2
3
1
2
1
2
5
1
4
1
1
1
1
3
1
4
1
16
41
21
1
25
19
35
1
2
1
1
1
1
1
1
1
1
1
8
5
1
6
46
1
1
1
4
2
2
1
21
1
1
1
1
1
7
2
1
1
1
4
12
1
4
1
1
1
1
1
4
2
1
2
14
1
1
2
1
1
1
1
9
4
2
12
2
3
1
1
1
1
4
5
2
1
1
1
1
2
1
1
1
67
3
1
2
3
1
1
1
2
1
1
2
1
4
3
1
1
1
3
1
1
1
1
8
1
15
1
1
1
8
3
1
5
3
1
1
3
3
2
1
1
1
1
13
6
1
1
2
1
3
27
3
1
5
1
1
1
1
1
29
1
1
6
1
4
1
1
1
1
1
5
5
2
1
2
1
5
4
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
2
3
1
1
5
1
1
1
4
1
37
9
3
1
1
1
1
2
1
2
8
2
8
1
1
1
2
1
2
1
1
6
5
3
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
10
2
2
1
1
1
1
1
1
39
3
1
2
1
1
11
5
1
1
1
2
1
1
7
2
2
1
1
1
1
1
5
1
1
2
1
3
1
1
10
5
1
4
1
2
1
1
1
1
1
1
3
6
1
1
2
2
1
2
1
4
3
1
6
4
2
1
1
17
1
1
1
1
1
1
1
1
2
3
1
1
6
1
1
1
1
2
1
10
2
2
1
1
2
2
1
1
2
2
2
1
2
1
1
1
2
3
2
3
5
12
3
2
1
1
3
1
1
2
2
1
30
1
1
1
6
1
3
1
1
1
1
1
1
2
1
1
1
4
1
2
1
3
5
2
4
1
1
6
1
1
1
2
1
2
1
1
1
3
1
1
1
1
4
1
1
4
4
2
3
3
2
1
3
1
1
2
1
1
14
2
1
1
2
1
1
1
1
1
3
1
3
2
5
5
2
1
2
1
2
1
2
1
1
1
8
2
1
1
4
1
1
2
1
7
8
1
2
9
3
1
34
9
1
2
3
1
2
37
7
1
1
1
1
1
2
1
1
2
3
1
1
1
1
1
1
2
2
1
1
2
1
1
4
1
2
6
30
72
1
2
1
1
3
1
1
2
367
1
1
1
1
4
3
25
1
3
4
1
1
5
1
2
9
1
1
1
1
9
3
3
2
3
1
3
2
1
1
2
3
1
10
5
1
7
1
1
2
5
4
2
2
1
1
1
5
1
1
1
1
10
1
2
2
1
1
1
4
1
1
1
3
1
1
2
1
10
1
1
2
3
1
49
1
1
1
3
2
1
2
2
1
1
3
4
4
2
1
1
1
1
1
2
9
1
2
2
4
1
1
4
2
1
1
1
1
1
2
5
1
1
1
1
1
1
1
10
2
1
3
2
1
2
1
1
1
1
1
1
3
1
1
1
18
1
1
1
1
5
3
2
4
2
3
2
1
1
2
1
33
3
4
1
1
2
2
1
5
1
79
1
1
1
1
1
1
2
1
2
17
2
1
2
1
1
1
3
2
1
3
1
1
2
2
1
5
4
1
8
1
1
2
1
1
2
1
6
1
1
1
1
1
7
2
2
8
1
1
2
1
1
1
2
5
3
1
2
1
1
1
1
2
2
2
1
1
1
13
2
15
2
1
2
2
11
3
2
1
7
8
1
1
5
2
2
1
1
5
2
8
10
1
1
1
1
31
3
3
21
1
2
3
1
2
4
1
1
1
9
1
1
3
1
1
2
4
1
1
1
1
8
5
2
49
2
7
1
1
2
3
3
1
1
3
2
200
1
1
2
1
8
1
1
1
563
13
1
8
1
1
3
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
2
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
4
5
1
2
1
3
1
8
1
1
1
8
3
1
1
1
1
2
1
3
2
1
107
39
1
1
1
1
1
2
4
3
2
1
4
1
2
7
2
1
4
1
1
1
2
3
1
1
8
8
8
2
2
1
1
6
1
1
1
1
1
1
3
5
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
24
93
19
2
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
2
2
2
1
1
2
1
1
2
1
1
1
21
1
1
2
1
2
4
1
8
1
2
12
1
1
1
10
1
1
1
1
1
1
3
2
2
2
2
1
4
1
2
2
1
5
5
3
1
1
1
1
1
3
5
1
9
3
1
5
2
2
4
1
1
1
10
1
1
6
1
2
1
2
1
1
1
1
4
5
1
1
5
1
2
1
1
1
4
1
1
1
1
5
1
1
1
12
1
1
3
1
1
14
3
1
1
1
1
4
2
1
1
2
1
1
5
1
2
1
16
1
3
2
1
2
2
1
3
1
1
58
1
1
61
1
4
1
1
1
1
3
5
2
1
1
1
1
44
2
1
4
1
1
1
1
2
9
1
2
2
1
2
1
7
2
3
2
1
5
2
1
1
1
1
1
1
4
1
1
1
5
1
1
1
7
2
2
1
1
2
2
3
2
1
1
4
7
1
599
1
3
1
1
34
2
1
2
3
3
1
2
1
1
3
1
3
1
1
1
1
1
1
1
22
1
3
1
2
1
3
1
1
1
5
1
1
3
5
2
1
1
1
2
1
2
10
1
1
1
1
1
1
1
10
1
1
3
1
1
1
2
1
1
1
1
4
2
1
1
3
2
1
1
1
1
3
1
1
1
29
1
1
1
1
2
7
1
2
1
1
1
1
2
1
1
6
1
1
12
1
1
1
1
1
1
1
3
1
1
2
1
1
4
1
21
1
15
2
4
1
1
54
1
1
1
1
4
3
1
2
1
1
2
3
1
2
1
3
7
18
1
4
1
2
1
3
1
24
4
4
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
1
4
1
1
1
1
1
2
1
1
1
1
26
1
1
1
3
1
1
2
2
4
1
1
1
3
6
1
1
1
1
1
1
5
1
1
3
1
10
1
1
1
5
2
1
3
1
2
5
1
1
1
11
3
1
1
4
2
1
1
2
3
1
1
1
5
5
1
1
49
10
1
3
1
1
4
4
1
2
7
3
6
1
1
1
10
1
2
1
19
2
7
2
1
1
1
10
2
1
3
1
1
1
1
1
2
6
1
1
1
2
2
11
10
2
3
1
1
1
1
1
1
66
5
1
8
1
1
5
2
1
1
1
1
1
1
2
4
2
1
8
1
1
1
1
3
4
6
1
1
1
1
1
1
5
2
1
2
1
1
53
2
1
1
1
2
2
1
1
4
2
1
1
1
48
2
1
1
1
1
1
1
12
1
6
1
5
1
2
1
1
1
9
1
1
2
1
1
1
1
1
1
1
2
1
9
1
2
2
3
3
1
13
1
2
1
1
1
1
2
1
1
2
2
1
2
2
1
1
2
1
2
1
1
1
3
1
1
6
1
1
1
1
36
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
1
1
68
1
2
1
1
12
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
13
4
11
1
1
1
2
1
1
1
2
1
1
1
1
1
3
1
1
1
2
7
1
1
1
1
1
22
8
1
2
1
2
4
2
3
1
1
7
1
2
1
3
17
1
2
39
1
1
1
1
9
2
1
1
2
1
3
1
1
123
1
5
30
1
1
1
2
1
1
2
1
1
575
2
1
3
1
8
13
4
1
1
1
1
1
3
1
1
3
1
1
16
4
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
4
1
1
1
4
4
1
1
1
1
3
1
87
1
2
2
3
3
1
8
1
1
1
3
2
4
2
4
3
1
2
23
6
1
1
2
3
39
1
1
1
2
1
3
1
1
3
1
2
1
1
1
4
2
1
3
3
1
1
1
1
3
1
1
2
5
5
1
3
1
5
1
6
1
1
2
2
3
4
1
2
10
6
1
1
1
9
8
1
1
1
1
149
6
3
5
1
1
3
2
1
9
1
1
1
2
2
2
1
3
1
1
3
2
1
2
1
1
1
1
4
3
1
1
1
1
3
1
1
1
1
1
2
7
2
1
1
1
2
1
103
2
2
4
2
273
1
1
1
3
1
4
1
1
4
1
2
55
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
2
3
1
2
1
1
1
2
1
1
1
4
3
2
3
2
1
2
1
1
1
9
1
10
1
2
1
1
2
1
1
1
1
1
2
2
1
1
5
28
3
1
1
1
1
1
1
2
1
1
1
8
2
2
1
4
1
6
1
1
2
3
3
2
5
1
1
3
2
1
15
5
1
1
2
12
1
9
2
2
1
14
1
3
2
5
1
3
1
3
1
1
1
1
5
1
2
2
1
2
1
1
1
1
4
1
1
2
1
1
1
4
20
1
3
1
2
11
1
93
1
6
3
1
1
2
1
1
11
2
1
3
1
2
6
1
2
1
1
4
1
4
40
3
2
1
1
7
12
1
1
1
1
4
1
1
2
1
2
1
2
1
1
2
1
3
4
1
1
4
71
1
1
6
1
1
1
8
7
2
1
1
1
1
1
1
4
2
1
1
2
1
1
1
2
4
1
1
1
1
1
2
1
1
1
2
1
1
2
2
1
1
104
2
1
1
1
1
2
1
1
1
1
4
2
1
1
1
1
2
9
1
1
1
2
2
2
23
8
1
1
1
2
1
1
1
1
2
1
3
7
91
1
4
1
2
1
1
2
2
2
1
1
3
1
1
1
1
3
4
2
1
1
1
1
2
5
1
1
1
3
2
16
5
2
7
2
1
1
4
1
3
9
10
7
1
1
1
1
3
4
1
1
1
1
1
1
1
15
2
1
8
1
183
1
8
3
3
2
9
3
1
2
2
1
1
1
1
1
1
3
1
1
1
1
2
2
2
1
81
1
1
1
3
4
5
1
1
3
1
4
2
1
1
11
1
10
1
1
1
26
1
1
1
3
11
1
1
2
1
2
1
1
7
2
1
1
1
3
1
1
1
1
1
3
6
1
3
2
1
1
6
1
1
4
1
2
9
5
1
6
3
1
1
1
2
1
1
2
1
1
2
1
1
1
5
1
2
1
1
2
1
2
1
1
2
5
2
1
1
1
1
1
2
1
4
6
2
2
5
7
1
7
1
1
1
4
8
1
2
1
1
1
1
2
1
2
1
2
1
1
4
2
1
2
9
1
1
1
4
1
1
3
2
39
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
14
1
2
1
13
2
1
7
1
4
1
1
2
1
5
36
1
1
1
2
3
1
3
1
2
1
1
1
1
1
1
2
33
2
1
2
1
62
1
1
1
3
3
1
1
1
56
1
1
1
1
6
1
1
1
42231
4
1
1
1
1
1
8
2
1
8
2
167
2
1
2
3
3
1
8
1
1
1
1
2
2
11
1
1
1
1
9
1
2
1
1
1
4
1
3
4
1
1
1
195
2
2
24
1
2
1
9
1
5
1
1
1
23
2
1
2
1
1
2
1
1
1
5
1
1
1
2
1
2
3
4
1
2
3
10
3
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
2
7
4
13
2
1
4
1
1
1
2
1
2
3
1
1
1
2
2
1
2
1
3
2
1
1
1
1
1
2
1
1
1
2
4
1
36
1
11
8
2
6
11
15
2
1
6
4
1
2
1
1
2
2
5
1
4
5
1
2
1
4
4
3
1
1
2
3
2
1
1
37
1
1
3
6
2
3
1
2
2
1
3
17
2
1
2
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
2
1
2
1
1
8
1
4
1
3
1
1
1
10
206
1
9
1
1
1
1
1
2
1
8
1
1
1
12
3
6
2
4
1
3
1
3
10
13
1
1
4
6
2
2
2
1
1
11
1
4
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
18
16
1
1
3
1
6
6
1
13
1
1
1
1
1
4
1
2
16
1
1
3
7
1
36
3
5
2
5
30
4
1
2
1
1
1
1
1
1
1
5
3
3
1
2
1
1
1
1
7
1
2
5
1
1
4
1
1
1
2
1
8
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
2
2
1
1
2
1
1
1
3
4
1
1
1
9
1
8
1
3
1
5
101
106
14
11
183
2
1
177
2
4
5
4
1
44
1
3
1
2
1
4
1
3
1
5
2
1
1
1
1
75
2
2
3
1
1
1
4
8
2
1
1
1
1
5
3
1
1
3
1
1
1
1
2
2
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
138
341
1
1
1
2
1
6
1
1
1
1
1
7
1
2
6
1
14
1
2
1
1
1
5
1
1
2
3
2
1
1
1
1
2
4
1
1
1
48
2
10
1
4
1
10
9
1
1
2
1
2
1
3
1
2
92
2
4
4
4
4
1
2
1
1
1
1
6
1
2
1
1
1
1
30
1
1
1
1
1
3
1
3
3
2
1
1
1
1
1
1
6
1
38
2
1
1
2
2
2
1
1
1
1
1
1
2
2
1
1
2
2
1
1
2
1
4
2
1
1
2
1
1
1
1
1
14
22
2
2
1
1
2
1
1
1
174
1
1
1
1
1
1
1
2
1
1
1
356
1
2
1
3
3
4
1
2
1
2
10
1
2
12
2
1
1
1
1
2
1
1
2
1
6
4
13
5
2
1
1
3
1
1
1
1
1
3
2
1
3
1
4
3
1
3
1
1
1
9
2
1
1
1
11
3
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
15
7
1
5
15242
1
2
3
8
10
2
2
2
1
1
1
1
1
1
2
1
1
2
1
3
12
1
1
1
10
1
1
1
4
1
1
5
1
1
1
1
10
2
2
3
2
1
2
172
5
1
32
1
1
3
3
5
1
11
1
10
1
1
1
3
2
1
1
2
7
1
2
1
2
1
1
1
1
1
4
1
1
2
3
1
2
4
1
2
1
2
5
2
2
45
267
93
34
1
1
2
1
1
1
1
1
1
2
2
1
1
18
7
1
1
1
1
59
1
1
1
28
3
1
2
2
1
1
21
1
2
1
5
1
1
1
10
1
1
4
1
1
1
6
1
5
1
1
3
1
4
2
5
1
1
4
1
1
2
1
1
10
1
1
1
10
1
1
1
3
59
2
2
11
1
1
3
1
13
15
3
1
2
1
6
1
2
1
6
1
1
3
1
3
1
4
1
1
1
2
1
1
1
2
1
1
30
1
1
2
3
1
1
5
2
1
2
4
1
1
1
213
1
2
1
1
1
1
6
4
5
2
1
1
1
1
2
1
1
1
1
1
2
4
1
1
13
3
2
2
1
2
2
1
3
40
1
1
1
1
1
1
3
1
1
3
1
9
1
71
4
1
2
1
11
1
55
1
1
1
1
1
1
3
1
5
1
2
7
1
2
1
25
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
2
13
10
2
1
11
1
1
2
1
56
2
2
1
1
1
1
1
1
1
1
12
1
1
6
7
2
2
31
1
1
6
1
11
10
1
1
1
2
2
1
2
3
2
1
1
1
5
1
2
1
36
3
2
1
5
1
1
1
3
1
1
1
1
15
1
14
1
3
1
1
2
48
3
1
2
4
5
2
1
1
1
3
1
1
1
2
1
1
1
1
23
1
1
3
5
1
1
2
17
2
1
1
1
1
2
59
1
2
1
4
10
2
1
1
1
1
3
1
1
1
16
1
1
5
2
2
1
24
1
1
1
1
1
3
1
8
3
1
1
2
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
29
3
1
1
1
2
222
1
4
1
1
1
2
1
3
1
1
1
3
1
1
5
3
5
1
1
2
2
1
2
2
1
1
3
102
16
1
3
1
1
1
1
2
2
1
84
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
2
1
3
1
4
1
1
1
2
3
1
1
1
2
2
3
1
34
1
1
1
2
1
2
1
1
1
1
6
4
1
1
1
1
1
1
1
1
2
1
1
13
1
1
1
6
3
2
3
1
2
1
1
3
2
1
1
1
1
2
2
1
2
5
2
2
1
22
1
2
1
1
3
2
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
4
2
1
8
1
2
1
3
1
11
1
1
2
2
2
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
64
2
2
2
1
5
5
1
1
1
1
5
1
1
1
2
2
2
1
2
1
1
2
2
1
1
1
3
1
1
3
2
1
1
19
3
10
1
1
2
1
5
2
2
2
1
19
6
1
1
1
1
1
1
1
5
1
1
1
8
1
1
2
1
1
1
1
2
1
1
2
1
4
1
1
1
3
1
9
1
1
3
2
3
12
1
7
1
6
5
2
1
5
1
1
5
2
1
4
3
1
1
1
1
1
62
426
1
1
1
10
1
5
5
2
1
1
1
2
10
8
1
1
2
2
1
5
2
3
1
1
2
7
144
1
2
1
1
34
4
1
9
1
1
1
1
5
1
1
5
2
2
1
1
15
1
1
6
1
1
1
1
1
7
8
2
1
1
1
2
1
1
3
2
2
1
1
1
2
1
2
1
1
1
2
10
4
3
1
22
1
2
1
2
17
1
1
30
1
1
1
28
16
1
1
1
1
2
1
2
3
2
2
1
1
1
6
1
2
4
8
2
16
1
5
1
2
7
2
10
1
13
2
1
4
1
1
5
1
12
1
1
2
2
2
29
1
1
1
4
1
3
1
1
2
2
8
1
4
6
1
1
2
1
10
3
4
2
1
2
3
1
1
1
5
1
1
1
3
1
1
4
1
1
1
1
1
3
1
1
1
9
3
1
1
1
2
1
1
1
1
4
1
1
3
4
1
1
2
1
1
1
1
11
1
1
2
1
1
1
1
1
9
1
15
1
1
1
4
1
1
1
1
1
2
2
7
2
4
4
1
1
1
1
1
4
7
2
1
1
2
1
6
1
2
2
2
1
1
1
1
2
2
2
1
4
4
4
1
1
1
1
68
1
3
10
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
16
5
1
5
1
2
4
2
43
1
1
1
1
1
1
3
4
3
1
1
5
1
1
1
4
1
2
1
2
1
1
1
3
2
2
1
1
1
30
2
1
3
1
2
3
1
1
2
2
2
1
1
3
1
2
1
1
1
4
2
2
1
2
2
1
2
16
2
1
5
11
1
17
1
1
37
1
2
6
2
2
9
1
2
1
1
1
46
6
1
1
1
1
1
1
1
3
2
311
131
1
6
1
1
1
11
1
2
1
1
2
1
1
2
1
1
1
2
1
263
3
1
12
3
1
1
1
1
1
2
7
7
2
8
1
4
2
6
1
2
1
1
1
1
1
1
1
2
2
1
1
2
2
1
2
3
3
1
1
1
1
4
1
2
1
3
4
2
3
2
1
1
2
2
1
2
3
3
2
1
1
1
2
1
2
1
1
1
2
1
1
2
2
1
3
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
2
1
2
3
1
2
1
1
1
1
3
2
1
1
1
2
2
1
2
2
2
1
1
4
1
3
1
2
1
3
1
1
1
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
5
1
8
1
4
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
3
2
2
1
1
1
1
1
2
1
2
1
1
1
2
1
1
4
2
1
2
1
3
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
4
1
1
1
1
1
1
1
1
3
1
3
2
2
1
4
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
6
4
1
3
4
1
4
2
1
1
9
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
2
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
2
3
2
1
1
1
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
2
1
1
6
1
1
2
1
2
1
2
1
1
1
2
1
4
3
2
1
2
2
1
3
1
1
5
2
2
1
1
1
1
1
1
4
1
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
4
1
1
1
1
1
2
1
1
6
1
1
1
8
1
2
1
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
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
2
2
1
1
1
3
1
1
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
3
1
3
4
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
4
1
1
3
1
2
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
2
1
2
1
1
2
1
1
1
2
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
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
2
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
2
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
70
1
2
1
1
2
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
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
3
1
1
1
1
1
1
2
1
1
3
3
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
2
2
1
1
1
9
1
2
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
2
8
4
1
1
3
2
1
4
2
1
1
2
1
1
1
1
1
28
1
1
1
1
1
1
2
1
1
1
1
1
2
4
1
1
2
1
1
1
1
2
1
2
1
2
1
2
1
4
1
1
2
1
3
1
1
1
4
1
1
1
8
1
1
1
361
11
14
1
1
2
1
1
1
4
12
1
2
1
1
2
2
9
1
1
1
1
1
1
1
43
7
7
2
1
2
1
3
2
1
1
3
1
1
3
1
1
5
26
7
6
1
2
1
1
1
1
1
1
2
1
1
3
12
1
1
1
1
1
1
809
1
3
1
2
1
1
29
1
1
15
2
15
1
2
1
1
1
1
1
1
1
1
1
5
1
5
1
5
1
1
1
1
2
1
1
1
5
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
6
2
15
1
1
1
1
1
3
1
2
1
1
2
1
2
6
1
3
5
1
2
1
1
1
1
8
1
1
1
1
2
1
1
2
2
1
1
4
4
1
4
1
1
1
1
1
2
5
1
2
1
1
1
5
5
1
1
1
8
1
1
1
1
1
1
1
3
3
2
2
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
2
3
1
2
1
1
2
3
1
1
1
1
4
1
1
6
1
1
1
3
2
3
2
1
1
1
1
1
53
2
1
4
2
1
1
1
1
2
5
5
1
3
6
1
1
1
1
4
1
1
1
1
1
1
1
2
2
1
4
4
2
4
1
1
1
1
1
1
7
1
2
1
1
1
5
6
1
1
3
1
4
2
2
2
2
1
2
1
1
1
1
1
2
2
5
6
2
3
1
1
1
1
1
2
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
4
183
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
14
5
1
1
1
1
1
1
2
1
1
12
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
2
2
1
1
1
1
4
1
1
1
1
1
1
1
3
3
1
2
1
21
13
124
49
1
1
5
2
1
1
1
2
2
1
1
1
60
2
1
1
15
5
6
1
1
1
2
1
1
1
1
2
5
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
410
3
5
31
1
1
4
1
1
2
3
1
2
1
1
1
1
1
1
1
1
45
1
1
1
3
1
2
12
1
1
2
1
1
16
2
1
1
1
1
1
2
1
1
1
2
1
3
1
2
1
1
3
6
4
1
1
6
2
7
1
2
1
1
3
3
1
3
2
14
1
7
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
4
4
1
1
1
1
1
1
2
124
1
1
2
1
1
1
1
1
1
1
4
1
1
245
1
1
2
1
2
1
1
1
5
10
1
1
3
1
4
1
1
1
1
1
1
1
1
4
1
1
1
4
6
5
1
1
1
1
2
1
1
1
2
4
1
1
1
6
1
1
1
2
1
7
6
1
1
4
4
1
2
1
2
16
4
1
18
6
2
1
1
2
1
5
3
1
1
1
11
1
2
1
4
1
1
1
1
2
1
2
10
3
1
1
1
2
1
1
5
1
4
1
1
1
1
1
1
3
1
1
9
2
17
1
1
1
6
1
1
11
1
2
1
1
5
2
17
1
2
5
2
1
1
1
1
1
1
1
2
2
1
6
13
1
1
1
2
1
1
2
2
1
1
1
2
1
1
2
1
1
1
2
1
3
2
1
4
2
1
1
2
2
2
2
4
1
1
2
1
1
2
1
17
1
1
2
1
2
2
1
3
1
3
19
5
2
1
2
1
3
1
2
2
1
4
3
1
3
1
2
1
1
4
2
1
1
2
1
1
1
1
1
5
1
4
1
2
3
1
2
1
1
5
1
1
2
5
3
2
1
1
29
1
2
5
1
2
1
33
1
2
5
1
1
3
1
2
1
1
1
2
2
3
13
6
1
1
1
1
1
1
2
1
1
1
6
1
1
2
2
1
1
1
1
2
1
7
1
2
12
3
2
1
2
2
1
1
1
1
9
2
1
1
5
1
1
1
3
1
3
1
2
1
8
1
1
1
2
1
1
1
1
1
1
2
1
2
6
1
5
2
2
1
1
3
1
1
2
1
1
1
1
1
2
2
1
2
2
3
2
1
1
1
1
1
3
2
7
1
1
3
1
1
1
1
19
3
1
1
1
3
2
1
2
1
1
2
1
2
1
1
1
1
1
2
1
1
8
1
1
1
1
1
2
2
4
1
1
2
1
1
1
29
8
3
2
4
1
1
1
2
1
2
9
2
5
2
4
1
1
2
4
1
1
9
1
2
1
1
4
2
2
1
3
1
1
3
2
1
4
1
1
2
1
2
1
1
1
1
5
1
1
3
1
2
1
1
1
3
1
2
3
1
1
1
1
1
3
1
1
2
1
2
1
11
1
2
7
3
1
8
1
2
2
1
4
1
1
2
1
3
5
1
1
1
2
2
2
1
2
1
6
1
1
3
4
1
1
56
3
1
1
1
17
1
1
1
1
1
3
1
1
1
2
1
1
2
2
1
1
1
1
2
3
1
1
1
1
1
4
3
4
3
1
1
1
1
7
1
1
2
1
1
1
1
1
1
1
1
3
2
3
1
8
1
1
1
8
3
1
97
1
1
1
7
1
1
2
3
3
1
3
1
1
2
1
1
2
1
2
1
1
1
1
1
2
1
2
13
33
2
1
1
10
1
1
1
2
12
1
2
3
1
3
1
3
1
1
1
1
1
1
1
6
7
1
1
1
1
1
3
4
21
1
9
1
1
1
8
3
1
1
1
1
3
1
1
2
1
1
2
1
1
2
1
1
1
10
1
3
1
6
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
6
1
3
1
2
29
12
2
1
1
1
5
1
1
2
3
1
1
3
1
1
1
1
7
17
4
3
1
79
1
1
2
20
3
1
2
7
1
1
1
1
8
1
1
4
1
3
15
5
1
1
1
3
1
1
1
2
2
1
3
1
4
2
1
3
1
1
1
1
2
3
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
13
5
42
1
1
3
1
4
1
1
1
12
13
3
22
2
9
1
3
1
3
2
4
1
1
1
1
4
1
2
1
1
4
1
3
2
1
1
8
2
1
3
2
1
1
2
1
2
7
1
1
3
4
1
1
1
1
1
5
1
6
8
1
1
1
3
2
2
3
5
1
1
4
1
1
1
9
1
3
2
1
3
1
1
3
1
11
4
1
2
1
6
13
2
4
1
5
2
9
1
4
3
1
1
1
1
4
1
11
1
1
1
2
2
2
1
1
2
1
1
1
1
2
1
1
1
1
2
2
1
1
2
5
1
1
1
2
1
21
1
2
2
1
1
19
2
1
1
103
27
3
25
3
5
1
5
1
12
5
37
4
2
1
1
7
1
1
1
1
3
1
2
2
1
13
8
3
2
1
1
2
2
3
36
19
1
1
3
6
15
1
1
10
3
2
37
33
19
2
1
1
11
1
3
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
3
1
2
2
3
3
1
1
1
1
1
1
1
4
1
41
94
1
1
1
1
1
3
1
8
2
4
2
6
2
1
2
3
2
1
6
2
1
1
1
5
4
1
5
8
3
8
2
1
1
1
5
9
1
8
1
2
2
1
1
2
8
3
5
2
1
10
1
8
1
3
2
1
25
3
1
1
1
4
1
1
1
1
3
1
1
1
11
2
44
4
1
1
2
1
6
1
1
1
1
7
20
2
7
3
1
1
1
2
2
2
1
1
4
2
1
7
1
2
1
1
3
2
4
2
1
4
1
10
27
1
8
3
4
1
1
2
1
3
1
111
1
1
4
6
1
5
1
2
1
1
6
1
2
1
1
1
8
3
2
1
9
1
1
12
1
1
4
5
2
1
2
2
1
1
1
1
2
1
1
3
7
1
2
14
15
1
4
1
6
1
45
1
4
20
5
2
1
20
1
5
1
8
2
6
1
1
1
13
5
1
3
2
1
1
2
1
1
2
3
2
1
9
2
3
22
7
9
1
2
3
1
1
2
1
1
3
1
1
1
1
2
1
23
1
1
1
2
1
1
1
2
2
1
1
8
1
1
1
4
2
2
41
2
2
5
1
3
1
1
2
1
1
5
2
6
3
2
1
4
1
3
1
2
1
1
2
4
1
1
7
3
1
5
17
1
1
1
1
16
1
1
2
8
2
2
1
3
1
1
2
1
1
1
4
1
5
7
3
3
1
3
1
1
1
15
4
1
1
1
1
1
8
1
1
3
2
7
1
4
2
3
1
1
10
1
1
1
1
8
6
5
1
1
3
1
1
2
1
13
4
210
1
1
1
3
30
4
1
2
4
2
6
3
1
1
13
1
6
3
1
1
1
2
3
9
1
1
1
1
1
3
8
1
1
2
2
1
2
3
1
1
2
1
3
12
3
3
1
2
98
24
2
1
1
1
1
10
1
1
1
1
1
1
4
4
2
2
3
1
2
2
2
5
5
1
2
1
1
3
1
1
1
1
1
1
1
8
5
2
17
204
2
1
4
1
3
1
1
1
1
1
1
1
1
1
1
20
1
1
10
1
2
9
1
1
13
1
1
3
1
1
2
1
3
1
5
4
3
2
1
1
1
4
1
1
1
2
1
15
2
91
5
6
1
3
2
1
1
1
2
2
1
2
2
2
8
1
2
3
3
470
3
3
1
1
4
2
6
1
1
4
3
3
8
1
1
1
4
3
3
2
1
2
1
1
1
2
13
10
7
3
4
2
2
2
1
1
2
1
1
4
1
2
1
5
1
2
4
1
1
2
2
17
3
2
5
1
1
1
4
1
4
2
3
1
6
2
1
3
2
3
1
1
2
5
12
8
1
1
1
1
1
1
1
4
1
1
1
2
1
2
1
2
3
1
40
1
2
1
6
23
3
3
1
3
2
1
4
1
1
1
1
1
2
1
