4
1
1
1
1
5
2
1
1
1
1
4
1
1
1
1
4
1
1
1
1
1
1
1
2
6
1
1
2
3
2
1
1
1
2
2
1
2
55
3
1
1
1
5
2
1
1
4
3
1
1
5
1
1
1
2
1
1
1
2
1
3
1
1
1
2
1
280
1
1
3
1
1
1
1
3
2
4
1
2
1
2
1
4
2
1
1
1
12
2
2
72
1
1
1
1
1
1
1
1
1
2
3
5
1
21
2
1
2
8
2
1
1
1
1
1
1
5
2
1
1
1
1
2
2
1
1
1
1
1
6
1
1
1
1
1
7
41
1
1
3
3
3
1
1
4
15
5
1
2
1
1
1
1
1
18
1
1
4
2
1
1
103
4
1
4
1
1
1
6
1
1
1
1
1
4
1
1
5
1
1
1
37
2
1
28
1
7
25
4
1
1
1
1
1
1
1
6
1
2
1
1
2
2
1
2
1
1
14
8
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
10
1
1
3
1
2
1
11
1
2
1
2
1
1
1
1
2
8
2
2
1
1
1
4
4
2
1
2
1
1
2
5
1
1
1
1
1
1
1
197
1053
6
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
31
4
1
63
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
5
5
9
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
431
166
1
2
1
1
2
1
1
1
1
1
1
1
32
1
6
4
1
2
5
6
1
1
3
2
2
79
1
8
1
1
2
1
3
1
1
1
1
5
2
2
1
4
3
9
2
4
2
1
1
1
1
1
8
1
1
1
1
3
2
1
78
1
1
1
6
1
1
1
4
1
168
7
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
392
1
1
1
3
1
4
3
1
2
1
1
1
2
11
2
1
2
2
1
3
2
3
1
1
1
1
2
1
1
1
2
3
1
1
1
1
2
2
2
1
31
1
3
1
1
1
1
1
2
1
314
17757
4
4
1
1
1
1
1
6
1
5
1
1
109
2
1
2
1
1
7
1
1
1
2
2
2
2
1
1
1
1
1
1
19
1
2
10
10
1
4
1
1
1
3
1
3
1
1
1
1
1
3
2
2
2
1
1
2
1
1
6
4
1
1
20
1
2
3
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
4
16
3
3
2
1
1
1
1
1
1
1
2
1
1
1
8
1
1
1
10
1
1
1
1
4
1
1
2
1
1
1
4
1
1
2
1
1
2
1
1
20
1
1
1
5
5
1
2
1
5
2
1
1
1
1
1
1
6
10
201
39
1
1
2
1
1
1
1
1
1
1
2
6
1
1
2
1
1
1
1
4
1
1
1
2
1
1
6
30
1
1
2
3
5
1
2
1
1
1
2
5
2
4
1
3
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
3
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
4
3
7
2
2
1
1
1
1
1
2
1
18
2
2
1
1
2
9
1
1
5
2
1
2
1
1
1
1
1
1
1
2
1
1
163
37
59
106
21
1
11
1
1
1
1
1
6
4
2
1
4
2
1
1
1
1
5
1
1
8
8
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
633
104
569
1
3
7
1
2
1
1
1
379
1058
585
1
12
2
4
1
1
1
1
1
1
1
1
1
1
1
5
2
3
1
1
1
1
1
1
1
1
1
8
3
6
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
10
1
1
3
1
2
1
3
2
1
1
8
4
26
1
1
84
25
13
4
5
4
6
2
1
2
1
4
1
1
8
1
1
1
2
1
4
1
4
1
7
1
2
1
1
2
2
6
2
1
1
1
7
1
1
3
1
1
1
24
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
2
1
1
4
2
1
1
1
1
5
11
1
3
1
2
1
1
1
9
1
1
4
1
1
2
1
68
1
2
1
1
1
3
1
3
1
1
5
1
5
2
1
1
14
10
3
3
1
1
1
2
1
1
8
1
1
4
2
2
7
1
1
8
2
1
1
1
1
6
9
17
1
1
1
2
56
1
1
2
1
1
2
1
5
1
1
4
1
1
1
1
3
92
12
1
1
1
1
3
2
13
7
1
1
4
1
1
1
1
1
1
1
1
1
1
6
1
4
1
1
1
1
1
1
2
1
1
2
1
2
1
3
4
28
16
3
2
8
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
9
81
2
1
1
3
1
1
17
1
2
2
1
1
2
2
1
2
3
1
1
1
1
1
4
4
1
2
2
1
1
3
1
1
1
2
615
395
326
1
14
1
1
1
1
48
1
3
1
1
1
20
32
110
1
1
4
10
2
2
2
1
3
1
1
1
1
1
1
1
1
2
7
1
1
1
2
1
1
1
1
1
2
6
3
1
1
1
3
1
1
1057
355
349
1
1
20
2
1
1
1
3
1
1
1
1
1
2
3
1
2
92
1
2
1
1
2
2
1
1
2
85
159
13
2
1
1
3
1
2
33
16
5
1
1
1
3
23
5
1
43
2
1
1
2
2
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
75
108
411
1
1
1
2
1
2
1
1
1
1
1
25
1
149
231
68
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
6
1
1
1
1
1
2
1
4
4
4
5
2
11
1
6
1
1
10
1
5
1
1
1
6
40
1
1265
920
682
13
1
1
1
1
1
1
2
21
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
98
541
68
1
1
1
1
1
1
1
1
12
156
2
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
1
1
1
1
1
1
2
1
2
2
3
5
1
152
13
3
18
4
1
1
1
26
1
2
2
1
4
5
2
1
1
6
1
1
1
1
2
1
2
2
2
3
1
1
1
2
1
1
1
236
281
271
3
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
2
1
2
4
4
1
22
1
5
1
1
1
1
2
2
1
1
1
11
3
1
4
1
2
2
4
1
2
1
1
1
1
1
1
1
4
1
5
2
1
1
1
1
2
2
2
2
1
1
1
6
2
1
3
1
1
1
1
13
1
1
1
1
1
2
1
1
3
2
5
1
1
1
1
1
32
1
1
1
2
1
2
1
1
1
1
1
2
4
1
27
1
1
1
1
1
1
1
2
31
28
1
1
1
2
1
1
1
63
6
226
651
6
1
1
11
1
1
2
1
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
2
1
616
239
6
1
7
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
10
2
3
2
5
2
2
5
2
27
122
33
2
1
2
1
1
3
1
154
38
15
15
72
1
3
2
1
1
1
12
1
350
1
4
3
96
1
1
1
1
2
1
1
1
1
150
1000
74
1
3
1
245
1
1
1
1
3
1
1
1
1
1
1
105
64
65
1
1
2
1
25
89
1
101
77
64
23
2
1
1
1
2
317
1
1
1
1
13
2
3
4
3
1
1
1
4
1
930
322
245
4
2
2
13
2
2
1
3
1
1
1
6
1
1
2
1
1
1
1
1
1
24
1
1
2
1
1
4
3
1
2
2
1
5
1
1
1
2
1
1
1
1
4
2
4
1
3
1
2
4
1
1
1
1
3
2
1
1
1
1
1
1
5
1
3
1
1
2
3
1
1
2
2
1
4
1
1
2
1
2
1
6
1
1
1
1
1
1
1
1
1
6
2
1
3
1
4
1
3
1
816
2
1
1
1
1
3
2
1
2
1
1
3
1
1
1
1
1
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
6
1
1
1
1
1
1
9
1
3
3
8
2
4
1
7
2
11
3
2
1
6
1
2
1
1
1
12
5
1
1
2
4
1
1
2
2
1
1
1
1
1
2
1
4
38
1
1
2
6
1
1
1
1
1
2
1
2
1
2
1
1
1
2
3
1
1
1
2
1
5
2
1
4
3
1
1
2
1
1
1
1
3
1
1
1
52
2
1
3
1
1
1
3
2
2
4
1
1
3
1
6
1
2
1
1
2
1
1
1
43
1
1
1
1
2
1
1
1
1
1
1
1
1
20
1
1
3
1
1
1
3
1
1
227
1
1
1
7
93
17
23
1
1
2
1
2
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
6
4
1
7
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
12
4
7
1
2
1
1
2
3
1
1
1
1
70
2
1
4
1
4
2
1
17
9
1
57
2
20
1
2
4
4
3
1
1
1
3786
35
1
22
1
3
1
1
1
4
1
1
3
1
9
1
2
2
443
202
2
1
1
1
2
2
1
1
2
2
3
1
1
1
1
1
7
1
4
1
3
1
1
3
1
1
1
1
1
4
1
10
1
1
3
40
1
1
16
1
1
2
1
2
1
108
1
1
7
1
3
1
1
3
1
1
1
1
1
2
3
3
2
1
3
7
3
1
1
8
1
1
1
1
4
1
1
1
1
16
1
1
2
1
2
1
1
2
3
1
1
1
1
1
1
1
3
1
2
1
4
1
2
1
1
1
1
1
1
1
2
1
1
1
2
127
1
4
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
2
1
1
1
5
1
1
3
1
1
1
2
1
2
2
2
3
1
5
1
2
3
1
147
205
1
39
1
1
10
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
8
1
3
1
1
1
13
2
2
1
1
1
1
1
1
1
2
6
1
1
48
2
2
1
2
1
1
1
20
1
5
5
1
1
1
2
1
1
1
1
1
4
1
1
1
4
14
3
18
1
2
3
1
1
5
3
1
1
1
1
2
2
1
1
1
1
1
228
1
1
1
1
1
4
1
2
1
1
1
2
6
1
3
1
1
1
2
4
2
4
10
2
1
3
1
18
4
1
79
8
1
2
7
11
1
1
1
1
1
1
1
1
2
2
5
2
2
1
1
11
1
2
1
2
1
1
1
2
6
11
1
1
1
1
1
1
1
3
1
1
1
1
1
17
2
2
1
2
2
1
1
2
2
1
1
1
2
9
1
2
51
1
1
2
2
1
1
3
1
2
2
1
2
2
1
1
1
2
19
1
5
2
1
1
1
1
5
1
4
2
3
4
1
2
1
1
1
1
2
2
3
1
1
1
5
1
1
4
1
1
5
2
1
1
1
5
3
1
1
22
3
7
1
1
1
1
1
1
1
1
1
1
1
1
7
1
4
1
3
28
1
1
7
9
3
1
1
1
1
1
1
18
1
1
2
1
1
1
1
2
1
3
2
1
2
2
1
1
4
3
1
1
1
1
2
1
1
1
1
7
2
1
1
64
6
1
2
1
1
1
4
2
1
1
1
1
4
6
2
2
1
674
198
752
1
1
5
1
2
2
2
29
1
1
4
8
60
32
14
1
61
33
48
1
1
17
7
3
1
1
1
1
2
2
1
2
4
1
1
2
1
1
1
2
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
2
1
2
2
4
1
1
1
1
2
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
3
5
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
6
1
1
2
2
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
84
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
2
1
9
1
2
1
1
4
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
3
4
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
4
4
1
1
391
166
44
220
1
347
1
111
1
1
2
2
1
8
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
11
4
2
2
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
3
1
3
1
1
1
183
37
1
1
4
1
1
1
1
1
1
8
1
3
1
1
6
1
1
1
1
7
2
1
1
6
2
2
4
19
1
8
1
1
2
1
5
6
1
2
3
2
2
1
1
1
1
5
1
1
2
3
1
1
3
4
1
1
6
1
1
3
3
3
2
4
7
10
1
1
22
1
4
1
3
1
1
1
2
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
57
2
1
1
1
1
3
2
5
1
21
12
1
1
1
1
1
2
2
1
3
1
1
1
1
2
1
1
1
1
32
2
2
1
1
1
1
1
4
4
3
1
1
1
2
1
2
1
2
1
2
1
1
19
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
35
4
1
1
5
10
152
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
18
6
1
1
1
2
1
1
4
1
4
1
2
1
1
1
1
1
1
1
4
1
1
3
1
8
1
14
8
1
11
1
6
6
1
1
5
4
2
1
1
34
16
1
2
1
1
3
1
7
1
1
58
3
1
3
22
1
1
2
3
1
1
4
7
1
3
1
4
1
1
1
1
1
4
2
2
1
10
1
1
1
317
1
3
10
1
2
2
1
3
2
1
6
37
92
37
1
1
1
1071
867
1888
2
1
1
2
1
1
9
35
37
8
1
1
1
1
3
2
1
3
2
1
2
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
7
1
1
2
1
3
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
2
1
5
5
1
1
2
41
4
1
1
1
1
3
1
1
1
1
1
2
1
1
2
4
1
1
1
10
3
1
11
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
22
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
4
3
4
1
2
2
1
1
1
2
2
1
1
1
1
1
5
2
2
1
1
1
1
1
1
1
2
6
2
2
1
1
3
1
4
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
4
1
2
1
3
1
1
2
4
8
1
1
2
1
1
2
1
5
1
1
16
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
3
1
2
1
1
1
2
1
2
1
10
1
1
1
1
2
7
10
3
2
1
3
1
2
1
1
1
1
1
1
1
4
1
2
5
2
1
1
1
1
2
4
1
1
1
1
1
1
33
3
2
18
2
1
1
2
1
1
2
1
1
1
2
618
12
3
1
1
9
45
24
1
1
1
1
2
1
1
1
1
24
1
2
1
1
8
1
38
1
9
1
3
7
1
1
2
1
1
4
2
1
1
2
1
5
1
196
102
1
1
1
1
1
1
1
3
1
5
4
2
8
13
6
1
1
1
1
1
1
1
1
4
12
1
2
1
2
1
1
2
1
1
1
2
1
1
2
1
1
12
1
2
1
2
1
2
1
1
10
2
1
7
25
1
1
2
1
2
1
3
1
3
2
5
24
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
6
1
3
32
1
3
1
1
1
1
2
4
3
1
19
2
1
41
1
1
1
1
1
1
1
1
1
2
1
1
2
3
8
2
1
4
1
3
4
2
3
28
1
1
1
2
1
56
1
3
4
3
11
56
1
4
2
1
1
36
1
1
3
1
1
1
5
3
1
2
1
1
1
2
1
1
2
1
4
1
8
1
1
1
1
4
1
1
4
1
1
1
17
3
1
2
1
77
1
1
1
1
1
40
1
4
3
1
1
1
1
1
1
4
1
2
1
2
1
27
8
1
1
2
1
2
1
5
2
4
1
1
6
1
