1
2
1
1
1
1
1
1
1
1
7
1
1
1
1
5
2
1
1
6
1
1
2
1
1
1
1
5
1
1
2
3
1
1
2
1
1
11
2
1
2
1
2
1
4
2
3
2
1
1
4
4
1
3
1
2
1
1
1
5
1
1
1
1
4
1
1
1
1
2
1
1
1
1
133
1
1
2
1
1
1
1
2
4
1
2
8
2
1
46
1
3
1
2
1
1
1
1
1
1
20
1
1
2
4
1
2
1
2
6
1
1
1
1
1
1
3
1
1
1
1
1
7
1
3
1
3
1
2
2
9
35
1
6
5
4
1
1
1
4
14
1
1
3
1
1
17
1
1
2
2
1
94
5
1
3
2
1
1
3
2
1
2
1
6
2
1
24
1
39
2
2
1
1
5
2
1
1
2
1
1
15
9
3
2
1
1
1
1
1
1
1
1
2
1
5
1
2
5
4
1
1
5
1
10
1
2
1
1
2
1
1
1
3
2
1
2
1
1
1
7
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
6
1
1
165
1077
5
1
1
2
1
1
1
1
1
1
1
21
1
1
53
1
1
1
1
2
1
2
1
1
5
9
6
1
6
1
3
1
1
1
1
2
1
1
151
388
1
4
1
5
1
1
1
1
1
1
6
1
1
35
1
1
4
1
1
1
3
1
1
1
7
1
2
1
1
1
2
1
1
2
1
1
63
1
1
1
1
2
1
1
3
7
1
1
1
1
5
10
1
1
5
1
1
1
4
1
1
1
1
1
18
1
1
3
1
1
2
1
2
1
3
4
1
7
1
2
1
1
1
1
1
1
10
1
1
1
2
1
1
1
1
1
1
3
370
2
2
1
5
2
1
1
1
2
1
1
3
1
2
2
2
1
1
2
1
1
6
3
6
4
1
1
1
1
1
1
2
1
1
2
1
2
1
1
3
2
2
1
1
1
3
32
1
1
3
1
1
1
1
1
1
1
1
1
290
17644
4
2
3
1
1
1
3
1
4
2
2
1
79
1
5
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
7
1
1
1
4
1
4
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
26
1
3
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
12
6
6
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
4
1
1
2
1
5
1
1
1
1
1
1
1
4
1
1
1
7
1
1
1
1
19
1
3
6
1
1
1
1
1
4
7
1
1
1
1
1
1
1
2
1
1
1
181
10
46
4
4
1
1
1
3
4
1
4
1
5
1
68
7
2
22
1
1
1
2
1
1
1
1
1
5
8
1
2
1
3
1
1
4
6
9
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
2
2
10
1
4
1
1
1
16
1
1
1
1
1
1
5
1
2
2
1
2
1
2
147
38
89
15
1
7
1
1
7
2
1
1
2
1
1
1
2
9
1
3
1
3
1
2
1
1
1
1
1
2
1
2
1
1
1
2
1
2
94
553
617
1
1
1
1
10
1
2
2
1
1
1
1
1
1
358
1189
656
1
1
2
11
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
2
1
1
3
1
2
1
1
2
1
1
6
2
1
3
1
2
1
9
1
1
1
2
1
2
9
2
1
1
1
1
1
3
7
1
1
1
2
27
1
74
22
15
6
8
5
2
8
1
2
1
1
1
7
1
10
1
1
2
1
1
3
2
1
1
3
2
4
5
1
2
1
1
1
1
1
1
4
5
2
2
1
1
2
1
1
2
2
30
1
2
1
1
1
1
2
2
5
2
1
2
1
1
1
2
1
1
1
3
1
1
1
2
1
12
1
4
2
1
1
1
2
1
1
10
1
1
2
1
2
63
6
1
1
2
1
1
1
4
1
1
1
1
1
1
2
1
13
8
1
1
1
3
1
2
1
2
8
3
2
3
2
1
1
1
1
1
1
1
1
1
1
1
17
3
5
1
3
62
1
1
1
1
4
2
1
1
3
1
1
15
1
2
2
1
1
8
7
1
2
2
14
3
1
1
1
1
5
2
2
1
1
1
1
3
1
1
4
1
3
1
1
2
1
1
1
2
3
1
1
1
1
4
23
4
7
1
9
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
3
70
4
1
1
1
1
14
1
1
1
1
1
1
1
1
1
5
1
2
1
1
4
1
1
1
1
1
1
2
1
2
1
353
589
342
14
2
2
1
41
3
1
1
1
1
97
32
17
1
2
3
15
2
2
1
1
2
4
2
2
1
1
1
7
1
2
1
1
1
2
1
1
1
2
1
4
2
1
2
1
2
1
1
2
929
315
332
1
1
15
2
1
1
1
1
1
2
90
1
2
1
2
1
2
1
162
82
2
1
1
22
3
1
6
1
1
27
17
1
1
1
1
1
20
2
1
34
1
3
2
1
3
1
5
1
1
1
2
1
3
1
1
1
4
2
1
1
70
94
368
1
1
1
1
1
1
2
2
14
6
23
137
64
203
2
1
5
1
1
1
2
1
1
2
1
18
4
3
1
1
2
1
1
1
1
1
1
1
1
1
3
4
1
4
9
3
7
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
40
1212
834
668
3
2
1
1
1
1
1
1
244
1
1
1
3
2
1
1
1
1
1
1
2
1
2
1
1
2
487
88
63
1
1
1
1
1
5
1
169
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
3
2
2
1
2
1
1
1
1
1
2
1
2
1
1
3
1
2
2
133
1
1
10
1
3
15
1
2
1
1
1
2
34
1
1
5
2
1
1
1
1
1
3
1
1
1
4
1
1
1
3
3
1
1
1
1
2
1
2
1
1
1
1
1
1
254
226
273
1
3
1
2
1
1
1
2
1
1
1
1
1
3
1
1
5
1
1
2
8
3
2
28
1
1
12
1
1
1
2
2
1
13
4
1
2
2
5
1
1
1
1
2
1
1
1
1
10
2
8
1
2
2
1
1
1
2
1
2
5
1
2
1
1
2
5
1
3
13
2
1
1
1
2
1
2
2
1
1
1
1
4
2
1
1
8
1
2
1
1
3
1
1
1
1
30
1
2
1
1
3
1
1
1
1
1
1
1
3
1
3
5
3
1
25
1
1
1
1
1
29
33
1
1
1
1
1
1
1
55
1
221
581
5
1
18
2
2
1
3
4
1
1
1
1
1
2
1
219
528
4
1
4
2
3
1
8
1
7
1
2
2
1
3
7
16
1
1
4
2
3
1
1
7
2
1
6
1
1
1
31
31
129
1
1
1
144
34
14
12
74
1
2
1
1
1
14
1
389
2
3
10
1
1
1
1
973
133
62
1
2
249
1
4
1
1
1
3
56
126
81
1
1
1
2
2
1
1
1
13
79
1
1
1
66
90
28
2
1
1
289
1
2
1
1
12
1
2
1
6
3
1
1
1
1
2
3
1
1
1
925
374
218
1
6
15
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
2
50
1
2
1
1
2
1
1
5
1
2
1
1
1
1
1
1
1
1
2
2
1
5
3
4
2
3
7
2
1
2
2
1
2
3
1
1
1
1
1
4
1
10
1
1
1
3
1
1
2
1
1
1
4
1
1
1
2
1
1
1
6
2
1
2
1
2
1
1
1
3
1
9
2
1
1
1
4
1
2
2
2
1
1
1
1
1
859
1
1
1
1
1
1
1
2
4
1
1
1
1
3
1
1
2
5
1
1
1
1
3
1
1
1
1
3
8
1
1
4
1
1
2
1
2
8
3
1
30
1
1
4
3
1
5
1
1
5
16
2
1
1
4
2
3
1
13
3
1
1
1
3
1
1
4
1
1
25
5
2
34
1
1
1
1
1
1
1
1
1
3
4
1
1
2
1
1
1
1
1
1
3
3
2
1
1
1
1
1
2
1
3
1
5
3
2
2
1
1
1
1
54
2
1
1
1
2
1
1
1
5
1
1
9
2
1
1
1
2
2
1
36
2
1
1
1
1
3
1
14
1
1
2
1
210
1
5
84
16
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
2
1
3
2
1
1
5
3
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
8
1
1
1
8
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
80
1
3
1
5
8
20
9
1
1
18
1
6
3
3
4
3
1
3279
1
1
1
1
2
1
41
2
21
1
1
1
2
4
1
1
1
1
2
5
1
4
1
2
1
390
187
1
5
1
1
5
2
5
1
1
1
1
1
1
5
1
1
1
5
2
1
6
35
15
1
1
1
1
1
1
98
1
1
1
1
18
1
1
1
3
4
1
1
1
1
1
1
1
1
5
1
1
7
3
1
1
1
5
1
1
3
5
2
3
1
17
1
1
2
2
1
2
1
3
1
4
1
1
4
1
1
1
2
4
1
2
1
1
1
1
3
2
1
1
3
4
118
3
1
1
1
1
3
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
2
8
1
1
1
1
1
2
1
5
3
3
1
1
188
119
44
6
2
1
1
1
15
1
1
1
1
2
13
1
4
1
2
1
4
1
1
13
2
1
1
2
1
1
1
1
1
1
2
3
4
3
1
1
40
1
4
2
2
1
1
27
1
6
1
2
1
1
1
1
2
1
2
5
1
1
1
1
1
3
9
1
16
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
7
1
2
3
1
1
10
4
64
7
1
1
1
1
6
1
1
7
3
1
1
1
1
1
4
1
4
1
1
1
1
1
2
1
8
2
1
1
1
1
1
1
5
1
1
1
4
1
9
1
1
2
1
1
1
1
1
26
1
17
2
1
1
2
2
1
1
2
2
1
1
1
1
1
3
9
2
1
1
2
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
17
2
1
2
1
1
1
1
2
1
2
1
1
3
5
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
4
3
2
4
4
1
4
9
1
1
2
5
2
1
2
20
2
3
1
1
1
1
1
1
5
1
1
1
1
31
10
9
2
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
2
2
1
1
1
4
1
4
2
45
2
2
1
7
3
1
1
1
1
1
2
1
1
2
1
1
1
3
1
4
1
2
1
1
1
618
173
756
1
1
1
4
1
1
1
1
1
4
54
40
10
1
2
1
59
42
29
15
9
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
1
1
2
2
1
1
1
2
3
1
1
1
4
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
4
2
1
1
1
1
1
1
1
5
1
1
2
1
1
3
1
1
1
1
1
1
2
6
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
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
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
78
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
3
1
1
4
1
1
3
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
1
1
4
1
2
1
1
3
1
1
1
1
2
5
1
1
1
1
1
1
1
1
2
1
1
1
1
5
5
1
3
2
1
1
1
1
3
2
3
6
5
1
1
1
1
6
1
1
360
151
57
1
181
1
423
1
1
113
1
1
1
2
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
2
1
5
1
1
1
1
13
3
1
1
2
1
4
1
1
1
1
1
8
1
1
3
2
4
2
2
1
1
162
31
2
1
2
2
3
2
1
1
1
2
1
3
1
1
1
1
1
1
4
1
4
1
1
2
2
6
3
3
4
20
1
5
1
1
1
1
1
3
1
3
6
1
1
1
1
2
1
1
1
1
2
1
1
1
3
2
3
2
1
1
2
2
1
4
1
1
1
1
1
1
4
2
2
1
2
9
7
2
20
1
2
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
84
1
1
1
3
1
4
2
1
1
1
1
1
18
11
5
1
1
1
2
1
2
1
1
1
1
1
3
1
1
2
2
1
1
2
1
3
1
2
1
27
1
1
2
3
2
1
4
2
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
16
3
2
2
1
2
1
1
1
1
2
1
1
32
1
3
1
1
8
9
109
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
2
2
1
18
1
4
2
1
1
2
3
1
11
2
1
1
2
1
1
2
1
1
1
1
2
2
3
1
1
1
1
11
1
19
15
9
1
2
3
10
6
3
4
2
1
1
21
11
1
3
1
4
2
5
1
2
49
1
1
3
5
26
1
1
1
2
1
3
1
2
1
3
1
3
1
4
3
1
1
2
1
6
1
1
1
1
1
3
1
1
12
3
5
1
1
2
1
2
6
42
87
34
4
2
853
917
1988
2
1
1
2
15
44
32
3
2
2
1
2
1
4
1
2
1
4
5
3
1
1
1
6
1
1
2
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
4
4
12
1
1
2
10
2
1
1
2
3
3
2
3
1
1
1
3
1
29
2
2
1
1
1
1
1
1
1
2
3
1
1
1
1
9
7
12
1
1
1
2
2
1
1
1
1
1
4
2
1
1
1
1
1
3
2
3
1
2
1
1
1
2
1
15
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
4
1
2
1
1
1
1
6
1
1
1
1
2
1
1
2
2
2
6
1
1
1
1
1
3
6
2
1
2
1
1
2
1
4
2
1
1
1
1
1
1
4
1
1
1
1
1
2
3
1
1
1
1
2
1
1
2
1
3
1
2
1
1
2
1
1
2
2
1
1
3
1
1
1
1
9
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
2
1
1
1
2
2
1
3
3
1
1
1
1
1
2
2
1
1
5
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
2
1
1
1
1
1
6
4
2
1
6
4
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
2
1
1
2
2
1
4
1
2
1
1
25
2
16
3
1
1
1
4
1
1
4
1
1
3
554
2
11
9
42
20
1
1
1
2
2
1
1
1
26
2
2
2
2
7
17
1
8
1
1
1
1
1
9
1
11
2
3
2
1
2
2
169
87
1
2
1
1
1
1
4
4
3
5
6
3
1
1
1
1
5
1
3
1
1
2
2
3
1
1
4
6
1
4
1
4
2
1
1
1
1
1
1
3
1
8
1
1
1
1
19
1
1
1
1
1
1
1
2
2
1
5
31
1
1
2
1
1
1
1
1
2
1
1
4
1
1
1
12
1
3
2
2
1
1
1
8
1
1
3
1
18
1
1
2
1
1
2
1
1
2
1
3
7
3
1
2
3
2
1
1
1
1
26
1
1
2
2
1
46
1
1
2
6
2
2
1
1
50
1
2
7
1
2
1
3
1
2
1
2
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
2
1
1
1
3
2
1
2
8
1
4
1
22
3
1
1
1
1
95
1
2
1
61
1
1
1
4
1
1
2
4
1
2
1
2
3
3
1
1
1
1
1
1
23
5
1
1
6
1
2
1
1
3
