1
1
1
3
1
5
1
1
1
1
2
4
1
1
7
1
1
1
2
1
1
1
1
4
1
1
1
1
1
2
2
1
1
2
5
1
1
3
1
3
2
2
1
1
3
1
3
1
9
1
1
11
1
2
1
1
1
1
6
1
1
2
1
2
1
1
1
1
1
131
1
2
5
1
3
1
2
1
1
1
1
2
2
4
14
2
1
1
2
1
1
35
2
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
2
2
1
1
1
3
1
3
2
1
1
2
1
1
40
3
4
2
3
1
1
1
1
1
3
1
1
3
2
1
1
1
2
4
2
1
7
1
1
1
103
29
4
2
2
1
2
1
6
2
18
2
31
1
4
1
1
3
3
2
2
1
1
1
1
2
14
5
1
2
1
1
3
1
1
1
1
1
6
1
1
1
1
1
3
4
19
1
1
2
1
1
1
1
2
4
1
1
3
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
8
1
2
1
1
2
2
192
1072
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
22
1
122
1
2
2
2
2
1
1
1
1
3
1
2
4
7
10
1
1
8
1
2
1
4
1
1
1
1
2
1
1
1
2
418
226
1
5
2
1
2
1
1
1
1
40
1
1
1
1
1
4
1
1
1
1
1
1
1
63
1
1
4
1
1
19
4
9
1
1
4
1
1
1
3
12
7
1
1
1
9
1
1
1
2
1
1
6
1
1
1
1
1
1
2
4
1
1
1
5
10
1
1
1
1
1
2
1
2
1
8
1
1
1
2
1
1
1
1
2
412
1
1
1
3
2
1
2
2
2
2
1
1
1
1
14
26
2
1
1
2
2
1
1
1
1
2
1
3
1
1
2
1
1
2
1
2
1
1
2
1
1
3
1
1
57
1
1
1
7
1
1
2
1
1
300
17481
6
2
8
1
3
1
4
1
10
1
67
3
3
1
6
1
2
2
1
1
1
2
1
1
1
1
1
8
4
2
4
1
1
9
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
2
1
19
1
2
3
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
17
1
1
1
1
2
16
3
8
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
6
1
3
1
1
47
2
3
1
1
1
1
1
1
1
7
11
1
1
1
1
1
1
1
1
1
1
1
1
195
54
57
1
1
1
1
1
1
1
6
1
1
1
1
1
1
4
1
2
1
3
1
1
1
1
2
5
19
1
2
2
3
4
2
2
1
6
1
2
4
1
5
10
1
1
2
1
1
1
2
2
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
1
18
1
2
2
1
1
1
1
3
2
5
5
1
1
1
1
1
1
1
151
73
52
99
24
2
16
1
1
1
1
5
4
1
7
2
1
1
2
6
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
611
191
613
1
1
8
2
1
1
1
1
3
1
643
1200
696
1
21
1
1
2
8
2
1
1
1
1
1
3
3
2
1
1
1
1
2
1
3
1
1
1
3
5
2
1
2
1
1
1
2
1
6
1
1
7
1
1
1
2
1
1
1
1
3
9
82
21
7
2
9
7
3
2
1
1
4
1
1
9
1
3
3
4
1
2
1
1
1
5
1
2
4
2
1
15
1
2
3
1
1
1
1
1
5
21
1
3
1
2
1
1
2
1
5
1
1
1
1
1
1
3
2
1
1
1
1
2
1
2
1
2
1
1
1
2
1
3
1
2
10
1
1
1
1
3
48
1
1
1
1
2
1
1
4
1
1
3
1
6
12
3
1
1
1
8
3
1
1
2
1
6
4
1
6
1
1
1
1
1
3
1
1
2
1
1
6
19
11
1
2
1
1
4
45
1
2
1
3
2
1
1
1
1
1
1
9
1
1
2
14
7
1
1
1
1
15
5
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
4
1
3
1
1
1
2
2
1
1
1
1
1
1
5
8
5
2
6
3
4
1
1
1
1
1
1
1
2
3
1
2
1
1
1
1
1
1
2
2
1
1
5
4
2
1
1
1
1
20
1
1
1
1
1
2
2
2
1
1
4
1
1
2
1
1
3
2
2
1
1
1
1
1
1
1
634
627
338
1
11
2
3
1
1
49
2
1
1
1
1
87
108
15
1
1
4
1
1
1
2
1
1
1
1
2
1
1
6
1
1
1
3
1
1
1
4
2
1
1
6
1
1
1
1
985
672
358
1
1
19
1
26
1
1
1
1
1
2
7
3
171
1
2
1
1
1
1
176
185
2
2
2
1
4
1
2
1
2
3
1
12
19
5
1
1
1
15
1
173
1
1
1
1
2
2
2
1
6
2
2
3
1
1
1
1
1
2
6
1
2
1
1
100
103
1
2
1
1
1
1
1
2
1
1
1
4
1
1
10
1
1
1
208
225
69
1
1
1
1
1
10
1
1
1
1
1
1
1
5
1
2
1
1
1
1
2
3
10
1
2
1
4
3
12
2
1
1
1
1
1
3
9
2
1
1
1
1
2
4
38
1268
1319
639
4
4
1
1
2
3
1
1
1
1
2
18
1
5
4
1
1
1
1
1
1
1
1
1
1
2
1
2
1
505
213
56
6
1
1
1
1
1
1
1
3
1
1
156
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
2
1
4
4
6
1
1
1
1
1
171
1
1
21
18
5
1
1
1
31
1
2
1
1
6
1
1
7
1
1
1
1
2
1
2
2
1
1
2
1
1
1
1
1
1
1
280
497
278
2
4
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
2
2
23
6
1
1
1
1
1
1
1
18
1
1
2
1
2
6
1
1
1
1
1
1
8
3
2
3
1
1
1
1
1
1
2
1
1
2
1
1
2
2
1
1
5
2
1
1
1
1
1
1
1
1
1
4
1
2
1
1
2
2
1
2
31
2
3
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
31
19
1
1
1
1
61
2
2
238
839
4
1
1
3
1
21
1
2
1
2
3
1
1
7
1
1
3
3
1
1
1
1
2
1
1
583
421
3
3
1
2
1
1
1
1
6
1
6
1
3
1
1
1
1
6
10
1
1
2
1
37
37
145
1
1
2
1
1
1
144
34
37
13
89
1
2
1
3
18
438
3
4
1
2
1
1
1
1
2
1
1
1
1
132
967
177
3
272
1
1
1
1
2
1
1
1
8
1
1
35
1
137
196
91
2
1
1
1
2
17
90
124
88
28
1
1
2
2
1
5
451
1
1
1
1
1
11
1
3
1
3
1
1
1
1
2
1
981
414
355
2
3
3
11
2
1
2
2
2
1
10
1
1
1
1
1
1
2
1
1
39
3
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
1
2
1
1
1
2
3
1
1
1
1
3
1
4
1
1
1
1
2
2
1
1
1
1
2
1
7
1
2
2
1
1
1
3
2
1
1
1
1
1
1
1
4
2
1
1
1
1
1
2
1
1
2
1
4
12
1
2
1
2
2
1
2
1
1
1
2
1
4
3
1
1
1
1
1
1
3
3
1
1
2
1
2
1
2
2
1
1
6
2
1
1
1
1
1
7
2
9
1
2
1
1
3
1
1
1
1
1
1
12
4
1
2
1
3
1
1
2
5
1
15
1
1
2
1
8
1
1
1
8
1
1
1
3
1
1
2
1
4
2
1
2
1
1
1
1
1
2
1
2
1
1
3
2
1
46
1
1
4
2
1
1
2
1
1
2
2
1
2
1
13
1
3
2
1
35
2
8
1
1
1
1
1
1
2
7
1
1
1
2
48
1
1
1
1
1
3
1
331
1
1
4
91
36
5
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
2
1
2
1
2
1
1
1
1
6
3
2
1
3
2
2
1
3
1
1
1
1
1
3
2
2
2
3
1
8
6
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
66
1
2
1
9
3
8
3
3
1
1
27
3
6
1
2
5
1
3122
1
2
1
1
1
24
1
2
2
1
4
1
1
1
1
1
2
7
2
2
1
1
1
1
420
176
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
9
1
4
2
1
3
1
1
1
1
1
6
1
1
6
1
2
1
1
41
1
17
1
2
3
1
1
1
1
1
1
1
1
202
1
11
1
2
1
1
2
1
1
1
1
1
7
1
1
12
1
2
1
1
1
1
1
1
1
16
1
1
1
2
1
2
1
1
1
4
1
1
1
2
1
1
1
1
1
5
49
7
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
95
1
1
1
1
2
1
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
1
10
1
1
1
1
2
1
1
1
1
1
1
1
1
237
198
28
1
17
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
8
1
1
4
1
1
3
1
1
1
2
1
2
34
1
1
2
1
1
1
1
1
1
2
1
80
2
2
1
1
1
10
1
6
1
1
3
1
1
1
1
1
1
6
1
3
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
2
2
3
1
2
1
1
7
1
1
1
1
91
8
6
1
1
1
8
10
3
1
1
1
8
3
2
1
3
1
1
1
1
1
1
9
1
1
2
2
1
1
9
1
1
1
1
1
1
4
1
2
1
1
4
27
1
1
24
2
1
1
1
1
1
1
1
1
2
7
1
1
1
2
23
1
5
1
3
1
1
1
2
4
2
2
1
1
1
2
1
1
1
4
1
1
1
1
1
2
2
1
13
1
1
1
1
3
2
1
1
1
1
5
1
2
1
1
1
1
10
1
1
10
4
1
2
2
2
2
2
1
10
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
15
2
4
1
2
2
4
1
2
1
5
1
7
1
1
1
1
10
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
6
3
1
1
1
1
2
1
1
4
1
46
1
1
3
1
4
4
3
1
2
2
2
1
1
2
1
3
3
653
280
822
1
1
7
1
1
4
1
1
1
2
9
55
31
37
7
1
65
45
31
6
2
41
8
12
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
6
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
2
3
4
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
3
2
7
3
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
3
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
2
1
2
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
2
1
1
1
1
1
2
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
1
3
2
1
1
2
81
1
1
1
2
1
2
1
1
1
1
2
2
1
1
3
2
1
1
1
1
1
2
2
3
6
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
2
1
2
2
1
3
1
5
1
2
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
2
1
1
18
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
19
1
1
2
4
1
1
1
1
1
1
368
334
56
242
1
1
1
380
1
1
265
1
1
3
1
7
1
3
1
1
1
1
1
6
2
1
17
2
8
6
1
1
2
2
3
2
1
3
1
4
1
1
172
76
1
1
1
1
1
3
1
1
1
1
6
1
3
1
1
1
1
2
1
1
1
1
3
3
3
3
13
1
1
2
9
2
4
4
1
1
1
1
1
4
2
1
2
2
1
1
1
9
1
1
1
2
1
4
1
15
16
1
5
4
1
1
3
1
3
1
2
1
4
1
4
1
1
1
1
1
1
1
75
1
1
1
1
1
1
2
1
1
1
2
1
2
19
10
3
1
1
2
1
1
1
1
1
1
3
4
2
5
1
1
1
1
2
1
2
4
3
2
3
1
1
1
2
1
2
2
2
1
1
1
1
2
1
1
9
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
4
34
6
1
15
1
1
9
133
2
1
3
1
3
1
1
1
2
1
3
3
2
2
1
1
1
1
1
3
1
1
1
1
4
1
1
1
4
1
1
1
1
15
1
1
1
1
2
5
1
1
1
1
1
6
1
1
1
1
1
2
1
3
1
1
3
1
2
12
1
4
2
1
1
7
1
1
4
5
1
3
2
1
1
1
2
1
1
3
1
1
1
3
47
1
1
2
2
2
23
2
1
2
1
1
1
1
4
1
4
1
1
2
1
2
1
1
2
2
1
12
3
1
1
1
2
1
1
1
11
1
3
3
2
1
3
3
1
9
1
93
89
35
1
1
912
1321
1
1996
1
1
2
2
4
70
14
45
4
2
2
3
1
1
1
1
3
1
1
6
4
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
2
2
2
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
10
1
1
1
18
1
1
2
1
2
1
1
6
1
2
1
1
1
1
1
1
1
2
1
2
3
11
1
1
1
1
7
1
25
7
1
2
1
1
1
2
1
1
1
1
1
2
1
1
4
2
2
8
5
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
18
1
2
1
1
2
1
2
1
1
2
1
1
2
2
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
3
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
2
2
1
4
3
1
1
4
3
1
1
1
1
1
1
1
2
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
4
1
1
1
7
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
6
4
2
4
2
1
2
1
1
1
1
1
45
1
2
20
26
3
2
1
1
4
1
1
4
2
2
1
1
1
1
1
1
3
1
2
1
3
3
2
1
1
1
1
1
1
1
1
6
1
2
19
1
3
11
1
1
1
1
1
2
1
2
2
1
1
735
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
2
10
1
16
3
1
2
1
1
4
1
9
1
1
3
1
2
1
1
1
189
178
2
1
1
1
1
3
1
5
2
6
1
1
1
1
1
2
1
1
2
1
1
3
1
2
1
1
1
1
9
1
1
2
1
1
1
5
1
1
1
1
1
3
16
1
2
3
1
1
1
1
1
3
3
24
1
3
1
1
2
1
3
1
16
1
1
1
1
3
1
1
1
2
1
2
2
3
1
1
8
1
1
1
2
1
1
1
1
1
4
1
2
1
11
1
1
1
4
3
3
1
1
1
22
1
1
1
1
80
1
1
1
8
1
1
2
1
1
1
71
1
8
4
1
1
4
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
6
1
1
1
4
1
1
14
1
1
1
1
79
16
1
1
1
1
1
45
2
2
1
1
1
1
3
1
1
5
1
2
1
2
1
1
18
5
1
1
1
2
1
1
9
3
1
1
