1
2
1
1
6
1
1
1
7
4
1
1
1
3
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
11
1
2
1
1
1
5
3
1
1
7
2
2
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
3
1
1
2
4
22
1
1
1
2
5
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
4
3
1
1
1
2
1
160
1
1
5
1
2
1
4
2
1
5
1
1
1
6
3
1
3
1
1
96
4
1
3
1
2
2
1
2
2
1
2
1
1
1
1
1
1
1
1
2
4
2
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
2
3
1
2
334
2
1
1
2
1
1
1
8
1
1
2
1
1
1
4
1
177
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
55
2
2
1
1
1
1
1
3
11
6
1
6
2
2
1
1
4
1
1
1
1
1
1
1
1
1
155
398
2
1
1
1
2
1
1
1
1
1
1
3
1
4
3
1
1
1
2
1
5
6
1
1
1
1
4
1
2
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
3
1
6
2
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
29
3
1
2
1
1
3
1
289
1
2
7
1
5
1
2
2
1
109
3
1
1
2
1
2
1
1
1
1
1
1
1
19
1
2
1
1
1
1
1
16
1
2
1
1
1
3
6
1
1
4
2
1
1
25
2
4
1
2
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
14
2
1
2
1
2
1
1
1
1
1
1
2
2
4
1
1
1
2
1
2
1
8
1
1
1
1
2
2
4
1
1
1
1
1
1
1
1
1
19
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
10
189
3
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
3
6
1
2
2
32
2
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
2
3
1
1
2
3
1
2
1
1
1
1
1
1
3
1
1
125
1
1
1
1
1
1
1
6
2
1
4
3
1
2
2
1
1
1
1
2
2
1
1
1
1
2
1
1
5
1
4
1
2
1
2
1
1
1
1
1
1
1
1
143
35
92
1
10
1
1
8
2
1
1
2
2
3
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
91
568
1
1
3
2
4
1
1
1
353
524
1
12
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
83
10
5
6
2
2
6
3
1
2
1
1
2
1
1
1
1
1
1
6
5
2
1
1
1
1
34
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
422
2
1
1
3
1
1
3
1
1
1
2
1
1
1
1
4
4
2
1
1
1
3
1
1
1
2
1
1
5
1
19
10
1
1
2
1
2
1
2
1
1
1
1
1
105
10
6
1
57
1
1
1
1
1
1
2
1
1
3
1
1
2
1
61
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
11
4
1
4
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
70
4
1
1
1
2
2
1
1
1
21
2
1
1
2
1
1
1
2
1
1
2
2
1
1
2
1
1
1
1
1
3
1
351
549
1
15
1
1
1
41
4
2
2
2
42
104
29
1
14
1
1
5
1
1
1
1
1
1
1
7
1
3
3
7
1
3
1
1
1
6
1
946
308
1
16
1
1
1
3
1
2
1
1
1
1
1
1
80
145
3
3
1
1
2
1
1
4
3
1
1
1
4
1
1
34
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
2
1
1
3
1
68
96
2
385
1
1
2
1
1
1
1
1
1
24
1
139
206
1
1
1
1
3
10
1
1
2
2
1
1
1
1
4
4
1
1
1
1
1
2
3
2
4
3
4
3
52
176
2
4
6
1
2
1
1173
824
1
1
1
2
1
2
1
1
1
4
1
307
1
2
1
4
1
1
3
1
2
489
95
1
1
1
1
7
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
5
2
1
1
1
2
2
5
3
1
1
1
139
351
16
17
1
2
1
2
2
1
2
1
2
2
1
1
1
1
1
2
2
1
2
2
1
1
1
2
253
217
238
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
2
25
1
9
1
1
1
5
3
1
2
1
1
4
1
6
1
1
2
1
1
1
2
2
1
2
1
1
1
1
2
1
6
2
8
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
3
1
1
7
1
1
1
2
2
30
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
25
1
1
1
26
1
1
1
7
1
60
2
1
587
205
1
1
2
3
1
2
3
1
2
2
1
1
3
225
568
1
3
5
1
1
1
1
4
1
1
1
3
1
1
3
1
5
2
2
1
7
1
1
36
1
2
139
15
12
1
1
1
1
1
1
4
1
1
2
1
1
1
1
131
63
3
1
3
1
1
1
1
19
97
58
1
1
2
1
82
1
75
22
1
1
34
1
1
2
287
1
1
1
1
1
1
5
2
3
2
1
1
2
845
230
1
1
1
1
16
1
1
1
1
1
7
1
1
1
1
2
1
1
1
1
1
1
34
1
1
1
1
9
4
1
1
2
1
1
1
1
1
5
1
2
7
3
1
1
2
1
1
1
1
2
1
1
1
1
4
2
1
3
3
1
1
1
4
1
1
2
2
2
2
1
1
263
5
1
1
1
2
1
1
1
1
3
1
1
3
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
2
3
1
5
1
2
3
2
2
1
1
2
1
2
1
5
1
1
1
1
2
1
2
1
1
2
1
4
1
1
1
1
1
1
1
1
2
1
1
5
1
1
3
1
1
1
3
1
2
1
1
1
2
1
3
2
2
1
1
1
14
1
1
1
2
1
45
1
1
1
82
19
1
1
1
2
211
2
83
16
1
1
1
1
1
21
3
1
1
1
3
1
1
1
74
1
1
1
1
1
2
2
1
2
1
1
1
1
1
3
1
1
1
4
4
2
1
2
1
1
1
1206
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
68
1
1
2
1
4
9
1
8
2
1
1
1
19
2
2
1
4
3
1
3680
1
1
2
2
2
1
1
1
1
1
1
4
1
403
1
2
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
2
1
1
1
39
1
1
1
2
1
1
2
1
1
1
1
102
10
1
2
1
4
2
2
2
2
3
9
2
1
12
2
3
1
2
1
13
1
2
1
3
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
136
1
4
1
1
1
2
3
1
2
2
1
1
1
1
1
3
1
3
4
176
132
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
3
1
13
2
1
1
1
1
2
1
2
1
1
1
41
2
4
1
1
1
1
31
6
3
1
3
1
1
1
2
1
1
1
1
5
1
4
3
1
2
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
4
1
1
2
2
1
5
1
1
2
1
64
8
1
1
12
1
1
1
1
43
6
1
1
1
12
1
1
1
2
3
1
1
2
13
4
1
1
1
1
1
14
2
1
2
3
2
6
6
2
1
1
1
1
3
1
1
1
2
2
1
2
2
2
1
1
1
1
1
3
2
1
2
1
2
1
2
1
1
1
2
1
4
1
2
1
2
1
1
1
1
2
2
1
4
2
3
6
1
1
2
1
2
3
1
2
3
1
23
3
7
1
1
1
1
2
3
1
1
1
1
1
1
1
22
1
1
9
1
3
1
2
2
1
1
1
1
1
3
1
3
1
1
1
1
1
2
5
2
1
2
3
1
1
1
2
2
2
1
1
1
9
1
3
174
610
1
2
4
53
14
45
30
1
16
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
4
1
3
3
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
3
4
1
1
1
2
1
3
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
2
1
1
1
4
1
1
1
1
3
2
3
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
6
2
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
4
1
1
1
1
2
1
1
1
1
1
4
1
1
2
1
1
2
2
1
1
3
1
1
1
1
1
2
1
1
2
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
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
83
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
3
2
1
1
1
1
1
2
2
2
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
3
1
49
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
2
1
1
1
2
1
1
1
1
2
1
4
1
1
2
348
143
203
1
1
364
1
1
100
1
1
1
1
3
6
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
10
1
1
1
1
1
14
1
1
1
1
4
1
1
1
1
163
33
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
2
1
5
3
4
3
18
1
1
1
7
2
1
1
3
2
4
1
1
1
3
1
1
1
4
1
1
1
2
2
4
1
1
1
3
2
2
1
1
2
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
7
1
1
3
1
1
19
1
2
1
27
1
1
3
2
1
1
1
2
1
1
4
28
1
4
1
1
1
1
2
2
1
1
11
3
4
2
1
2
1
1
1
1
1
1
1
14
1
2
1
1
1
1
2
1
1
1
2
3
5
1
1
1
31
1
9
1
1
2
4
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
16
2
1
2
1
2
2
1
4
2
1
3
1
4
1
1
2
1
1
2
1
1
1
1
1
5
1
2
1
6
12
4
1
2
1
1
1
1
1
1
3
1
48
1
5
23
1
1
1
3
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
18
1
1
3
1
1
1
1
6
36
85
1
1
978
773
1
1
28
32
1
1
1
1
1
1
2
1
3
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
4
1
2
1
1
1
1
170
4
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
35
1
1
1
1
1
1
1
1
1
30
2
1
1
11
9
1
11
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
4
1
1
4
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
2
4
1
1
1
3
1
1
1
1
1
2
3
1
1
2
1
1
4
2
3
1
11
1
1
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
377
1
2
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
8
3
3
3
1
1
4
1
1
1
1
5
1
1
2
1
1
1
1
2
1
1
1
2
1
5
1
1
1
1
31
3
2
14
3
3
1
1
3
1
1
1
1
1
543
12
2
8
42
21
1
4
1
2
3
1
23
2
2
2
1
1
2
1
17
6
1
1
1
1
7
4
2
3
2
2
1
1
2
1
175
91
1
1
1
1
1
5
1
2
1
4
7
3
4
5
1
1
1
5
1
2
1
1
1
2
1
1
6
1
1
3
1
4
2
3
1
1
1
1
1
1
1
6
19
1
2
1
2
1
3
16
1
2
1
1
2
2
1
1
1
1
24
1
3
1
3
1
1
1
1
1
2
4
5
15
1
2
1
1
1
2
3
1
5
1
1
2
6
1
1
2
3
1
2
1
36
1
1
1
1
1
3
47
1
1
1
2
2
51
1
1
7
6
1
2
2
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
2
4
6
1
1
1
2
1
1
1
13
3
5
88
1
1
1
2
1
1
1
1
1
2
3
2
1
3
1
1
2
28
6
1
1
1
3
2
1
5
1
1
2
1
2
