37
5
1
3
15
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
6
1
16
3
2
1
1
1
11
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
5
1
1
2
1
1
1
1
3
1
2
11
1
1
3
2
1
1
6
1
1
1
1
1
1
3
1
3
1
2
1
2
1
8
1
1
1
2
1
1
1
4
1
2
1
1
2
2
3
1
1
1
1
1
1
1
7
27
2
17
4
1
1
1
2
2
6
30
1
1
3
1
1
11
3
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
2
1
1
1
1
1
1
1
1
2
1
1
2
2
2
3
1
2
1
24
1
3
1
1
1
1
47
1
2
2
4
1
1
4
2
1
1
1
1
1
5
3
11
1
1
2
1
1
1
5
1
1
1
88
25
1
1
1
3
1
1
2
2
8
2
2
33
1
1
1
1
3
1
1
1
1
1
2
2
4
1
1
1
1
1
2
1
6
1
1
9
5
1
1
1
2
2
1
3
16
13
1
2
1
5
1
6
1
2
1
1
1
1
1
1
1
2
2
1
1
1
6
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
2
1
1
2
1
1
1
2
1
1
1
3
7
11
1
1
1
1
6
3
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
4
1
4
1
1
1
1
4
1
1
1
6
2
3
1
2
1
11
1
1
2
1
1
1
1
1
5
144
1
2
1
1
10
1
1
4
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
2
28
1
16
1
1
99
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
8
1
11
1
3
2
1
1
1
1
1
1
1
5
1
1
1
2
1
340
177
1
3
6
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
52
1
1
3
2
1
3
2
1
1
18
6
1
47
1
4
4
1
8
1
3
2
1
1
2
4
1
1
4
1
2
1
1
7
1
1
1
1
2
1
1
1
27
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
339
2
1
1
1
1
1
1
3
2
3
1
1
1
1
5
1
1
1
2
3
3
2
1
1
3
8
2
1
1
1
14
1
1
1
3
1
2
5
1
2
1
1
1
2
2
3
1
1
2
1
17
2
1
1
1
1
1
5
1
2
44
1
2
2
6
3
1
1
1
2
2
1
1
1
5
1
1
1
11
237
750
1
1
1
2
1
38
2
1
28
2
1
1
1
10
1
5
2
1
4
1
1
1
1
1
3
1
1
14
1
2
1
6
2
2
2
3
1
3
1
1
2
1
2
1
11
3
2
4
1
1
1
1
9
4
1
3
1
1
1
1
55
1
1
1
1
1
1
2
1
2
1
1
1
1
5
1
1
1
2
1
1
2
2
1
3
2
1
1
1
9
1
2
1
1
1
1
1
1
2
1
1
2
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
2
2
8
3
1
1
1
1
5
5
1
2
4
1
1
1
1
1
1
1
1
15
1
2
9
2
1
3
1
1
1
1
2
2
2
11
1
2
1
1
1
1
1
6
6
1
1
1
1
2
4
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
14
1
2
1
1
1
1
2
1
44
2
2
1
1
1
1
1
2
3
3
1
2
1
1
4
6
1
1
1
2
1
1
3
1
1
1
1
2
3
1
1
1
1
155
49
37
1
1
3
2
3
2
1
1
2
1
2
1
1
1
2
1
3
1
1
5
2
3
1
2
2
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
7
41
8
1
1
3
1
2
1
1
1
2
1
1
1
1
1
5
1
2
3
2
1
5
1
1
1
1
1
1
4
6
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
7
1
1
1
1
2
1
1
1
5
2
1
1
1
2
1
3
3
1
1
3
1
1
1
5
1
1
2
1
1
7
6
1
2
1
1
6
3
1
1
2
1
1
1
1
1
16
1
1
1
2
6
2
2
1
1
1
2
1
4
1
2
1
2
2
1
4
1
1
1
1
1
133
53
50
1
85
19
9
3
1
1
1
1
4
1
1
2
1
2
6
1
10
1
1
1
2
1
1
1
1
2
1
1
2
1
3
1
1
11
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
2
2
1
1
1
1
1
479
146
658
5
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
3
1
7
577
525
125
16
1
1
1
1
2
2
1
1
1
1
4
4
1
1
1
2
3
3
1
2
2
5
2
1
3
2
2
1
1
1
1
1
1
2
1
8
4
1
1
1
2
1
1
1
1
2
3
3
1
1
1
1
1
1
3
1
6
2
1
1
2
1
29
1
1
1
1
1
1
1
7
1
1
1
1
6
8
4
3
65
32
3
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
12
1
2
1
12
1
1
1
1
1
1
1
3
1
1
1
1
20
1
1
1
2
1
1
1
1
1
14
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
10
5
1
1
2
4
3
1
1
2
1
1
1
1
3
1
3
5
2
2
1
2
1
1
1
1
1
1
13
1
70
1
2
1
2
1
1
1
5
1
1
1
3
1
1
1
1
2
1
1
2
2
1
1
2
1
1
1
1
2
10
1
1
10
12
1
1
1
2
1
1
2
2
1
1
1
2
4
3
1
2
3
1
1
1
3
1
1
1
1
2
2
4
1
1
1
2
1
1
1
5
19
4
1
1
21
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
2
1
1
7
1
1
1
1
7
2
1
1
3
1
1
1
2
1
1
1
4
4
1
1
3
9
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
4
1
1
5
2
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
8
1
1
1
4
1
1
1
1
3
1
1
1
6
1
1
3
2
1
1
1
1
12
15
3
1
3
2
9
4
1
1
1
9
7
1
1
1
6
3
3
1
1
1
1
1
1
1
1
3
45
1
28
1
1
1
2
1
1
1
1
1
2
1
1
3
2
1
1
1
1
2
1
2
1
2
2
1
8
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
9
6
3
5
3
1
1
1
1
3
1
1
3
2
2
1
1
1
2
1
1
1
13
1
1
1
1
1
1
513
521
212
1
1
2
1
12
3
2
2
39
15
9
1
1
2
1
1
85
80
14
1
1
1
6
8
2
2
1
2
2
4
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
7
1
3
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
6
1
1
1
1
1
1
7
1
1
1
1
10
1
7
5
807
544
285
16
1
1
2
1
4
1
1
1
1
1
1
2
1
1
1
3
1
1
3
2
9
2
1
2
1
163
1
1
1
1
1
3
1
1
1
4
1
4
1
1
3
1
1
2
2
1
1
153
151
1
2
1
1
9
1
1
1
2
17
2
1
1
1
1
1
1
7
1
1
2
1
2
1
2
1
18
27
2
1
1
1
1
1
1
22
1
164
1
1
1
2
2
1
2
1
1
1
1
2
7
3
1
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
2
4
1
1
2
1
1
2
1
2
1
1
82
82
2
2
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
2
5
1
1
2
1
3
1
1
1
2
1
170
180
53
2
2
5
1
1
1
1
1
2
1
1
1
4
1
1
2
1
2
1
1
1
6
1
1
1
2
2
1
1
1
1
1
1
1
1
2
4
1
2
1
3
1
1
2
1
2
9
1
1
1
1
1
1
1
4
10
8
1
5
1
1
1
2
3
2
2
3
38
1030
1063
656
1
1
2
2
1
7
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
6
1
1
1
1
1
1
1
1
1
2
434
177
65
2
1
4
6
16
1
1
1
1
1
1
1
1
1
1
1
2
181
1
2
2
1
2
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
10
1
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
17
2
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
6
1
1
6
1
1
1
2
1
2
144
1
1
14
6
1
3
2
1
3
3
1
1
1
1
1
1
1
2
1
3
1
5
2
1
3
1
1
1
2
1
6
1
1
2
4
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
2
4
226
405
169
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
2
1
2
2
3
3
1
2
1
2
1
3
1
2
1
14
1
7
18
1
4
1
1
4
9
3
1
1
1
1
4
1
1
17
1
1
1
1
1
2
1
1
2
1
1
1
3
2
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
2
2
1
4
13
4
1
2
1
2
1
1
1
1
1
1
1
2
11
1
1
2
2
1
8
2
1
1
2
2
1
1
1
3
1
1
1
1
23
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
6
3
2
1
1
1
2
1
1
1
3
1
3
27
25
1
1
1
1
1
1
1
2
1
1
2
1
42
4
1
2
1
2
190
674
2
5
1
1
2
1
1
1
44
1
1
3
1
1
1
2
1
1
1
1
1
1
17
3
3
3
4
1
1
1
486
359
1
2
1
4
2
1
1
1
1
1
1
2
6
1
2
3
2
4
1
4
1
2
7
1
1
1
8
1
1
1
1
1
6
1
1
1
1
8
1
2
857
120
1
1
2
8
1
1
1
1
116
27
38
9
57
1
2
3
1
1
1
1
1
2
1
2
9
1
1
1
14
1
1
425
2
8
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
150
108
1005
1
8
145
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
116
154
106
4
2
1
1
1
1
29
68
1
1
1
27
100
84
1
4
4
4
1
406
1
1
1
1
1
1
1
1
3
1
4
1
1
1
4
1
1
1
2
1
1
5
1
1
20
1
1
2
4
1
798
328
123
1
1
4
1
1
2
1
1
1
2
1
3
9
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
2
3
1
5
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
5
1
3
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
4
1
2
1
1
1
1
5
3
1
2
2
2
1
1
2
1
2
1
1
1
1
2
11
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
10
1
2
1
1
19
1
1
2
1
10
1
2
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
3
2
6
2
1
1
1
1
1
3
5
4
1
1
1
1
4
1
3
1
1
1
1
1
1
4
1
2
2
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
3
1
755
1
2
2
1
8
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
3
2
2
1
1
1
1
1
1
1
1
1
2
7
3
1
3
1
1
1
4
1
1
1
1
4
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
2
11
1
2
1
1
5
3
1
1
1
1
1
1
3
2
1
4
1
1
1
1
1
2
1
1
3
1
1
3
3
1
12
2
1
1
1
2
1
2
1
1
1
3
1
15
1
2
5
8
1
1
1
5
1
4
1
5
1
1
1
1
3
7
4
1
1
1
1
1
1
2
4
2
2
3
1
5
1
2
1
1
17
8
1
2
3
1
3
2
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
2
1
1
5
1
4
1
1
1
1
1
1
1
1
5
2
2
1
2
9
4
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
48
10
1
3
1
1
1
1
3
1
1
6
2
2
1
1
26
1
12
1
32
3
1
2
1
1
1
1
1
1
7
22
1
1
1
1
2
1
1
269
1
1
3
2
1
1
1
67
1
1
1
76
30
1
1
1
1
2
2
3
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
4
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
2
5
1
1
1
1
1
1
2
1
2
1
1
6
1
1
1
1
1
3
1
2
1
1
1
2
1
1
2
2
1
2
2
1
1
2
2
2
1
1
1
1
1
6
2
6
1
1
1
3
11
5
4
6
1
1
1
1
9
3
1
1
1
1
1
1
1
8324
4
3
1
6
1
13
1
1
2
1
63
1
1
1
4
1
1
1
2
1
2
1
1
1
1
1
1
1
1
5
1
1
1
342
189
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
6
8
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
4
1
15
1
1
1
1
1
2
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
11
4
1
1
3
2
1
1
1
2
6
1
2
4
1
2
1
1
1
3
3
2
1
1
2
6
1
2
1
1
12
1
3
1
1
4
1
1
2
167
1
1
1
1
1
5
4
7
1
2
1
2
1
1
2
2
1
1
1
6
1
2
1
7
7
1
1
1
2
1
1
9
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
6
2
1
1
1
2
1
2
1
2
1
3
1
2
1
1
1
1
1
3
1
1
1
1
3
2
1
1
2
1
1
1
1
4
1
1
4
3
3
1
1
1
1
1
1
2
1
3
1
3
4
1
1
5
1
1
1
1
1
1
6
3
1
1
1
2
1
1
2
2
3
1
1
2
2
1
2
4
1
4
1
3
3
1
1
2
1
1
1
1
1
1
14
1
1
1
3
1
1
1
3
3
49
3
1
1
1
2
1
1
7
1
1
10
2
1
1
1
1
2
1
1
2
1
1
1
1
1
4
1
1
1
1
7
1
2
1
1
1
1
4
1
1
1
2
1
1
1
1
2
7
1
162
195
10
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
131
1
1
1
3
2
17
1
1
1
1
25
1
1
1
1
1
1
3
1
1
1
4
1
2
1
3
1
2
1
1
70
3
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
6
1
3
1
1
1
1
2
1
1
1
1
2
1
2
1
1
2
1
1
1
3
1
1
1
1
1
9
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
2
5
3
1
1
1
2
1
1
1
1
2
1
5
2
1
1
2
1
2
1
2
1
2
3
7
1
1
1
2
2
1
1
3
1
1
3
2
1
1
2
1
1
1
2
1
1
1
1
2
5
4
2
1
1
6
80
5
1
1
1
3
2
1
5
1
1
1
1
1
1
1
7
3
1
1
2
3
1
1
1
2
1
4
4
1
1
4
1
1
1
14
2
1
1
1
1
1
5
5
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
3
3
1
4
1
1
1
20
2
1
2
1
11
1
1
1
1
1
1
1
1
1
1
5
1
4
1
1
1
1
1
2
2
1
3
19
1
1
1
1
4
1
3
1
1
1
1
3
1
1
1
2
5
1
2
2
2
1
1
3
2
6
1
1
2
1
4
1
1
4
7
1
1
1
1
1
7
1
1
1
1
2
2
18
1
1
2
1
3
3
1
2
1
1
1
1
1
1
2
1
9
1
13
12
1
3
1
1
1
2
2
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
8
1
1
2
1
3
3
1
1
10
3
1
1
3
6
4
1
3
1
1
1
1
1
2
1
2
1
1
1
2
3
1
1
17
7
1
2
1
1
1
2
1
1
1
5
1
2
1
6
2
2
4
1
1
3
5
2
1
1
5
1
2
2
1
1
1
7
3
1
11
12
2
1
1
1
1
1
1
21
1
1
1
2
1
1
2
1
1
1
2
18
2
7
1
1
1
1
2
1
1
1
1
3
1
2
1
3
1
1
2
2
2
1
2
1
2
1
26
1
1
1
1
175
2
1
1
1
1
4
1
1
4
1
1
1
4
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
2
11
3
1
1
1
1
549
223
1
4
5
1
3
1
2
2
4
46
25
46
33
27
5
1
1
2
30
1
55
1
1
3
3
1
4
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
4
1
3
1
1
1
2
8
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
2
1
1
2
1
3
3
1
2
1
2
2
1
1
1
2
1
2
1
1
4
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
2
1
4
1
1
2
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
5
1
1
1
1
4
1
2
1
1
2
3
3
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
4
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
4
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
1
1
1
4
2
1
6
1
1
3
2
2
1
1
1
1
2
1
1
2
1
1
1
2
2
3
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
5
1
2
1
2
4
1
2
1
1
2
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
2
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
1
2
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
101
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
3
2
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
4
1
4
1
1
4
1
1
6
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
2
5
1
1
12
2
3
1
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
18
1
2
3
1
1
1
1
1
1
1
1
2
307
283
34
189
1
1
1
1
715
1
1
205
2
3
2
1
3
2
4
6
1
1
1
8
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
12
1
15
4
1
1
1
1
1
2
2
1
1
2
2
1
1
3
2
1
1
1
1
1
2
1
134
62
2
4
2
3
2
1
1
1
3
1
3
1
1
5
3
1
2
1
2
1
1
1
3
1
1
3
1
2
1
3
1
6
1
5
4
1
1
1
19
1
1
8
2
1
1
2
5
1
2
1
1
1
4
3
1
2
2
2
1
1
1
57
2
1
4
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
2
4
1
11
1
1
1
1
3
1
1
1
6
6
2
1
3
1
6
1
2
1
16
2
1
1
3
1
3
12
2
1
2
4
1
1
1
1
4
3
1
1
1
3
4
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
4
78
1
1
1
1
1
1
1
20
14
2
4
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
5
2
4
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
1
1
2
1
1
19
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
2
2
1
2
2
30
1
1
1
1
1
3
1
1
1
1
4
1
2
2
9
132
2
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
23
1
1
3
2
3
1
1
1
1
1
1
1
1
3
2
3
1
8
1
7
1
4
1
3
1
2
1
1
1
1
5
1
1
1
1
21
2
1
1
1
3
3
1
1
1
1
1
1
2
2
1
1
2
2
1
3
1
7
1
2
7
1
5
2
1
1
2
3
2
1
2
3
2
2
3
1
1
1
2
7
3
1
3
2
2
1
93
1
2
1
27
2
1
35
1
3
1
1
1
1
4
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
9
1
1
5
1
2
2
76
78
49
1
2
2
1
1
1
1
756
1112
250
2
1
3
2
36
61
7
2
1
1
1
2
1
146
2
2
1
2
1
2
1
9
1
4
5
5
3
1
1
3
1
1
1
1
1
1
1
1
1
2
2
1
4
1
2
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
9
1
9
1
5
1
2
2
2
1
2
1
1
2
3
3
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
6
3
1
7
3
1
1
1
2
1
1
5
1
3
2
1
2
1
1
1
1
2
2
1
2
1
2
1
2
30
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
2
1
1
2
1
1
1
1
3
3
3
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
5
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
1
1
3
1
11
1
1
1
1
1
1
31
1
1
2
3
1
1
1
3
1
1
1
1
7
3
2
3
3
1
1
1
1
1
2
1
1
8
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
1
2
1
2
1
1
4
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
9
1
1
3
2
5
2
1
1
1
2
2
1
2
1
2
1
1
1
1
2
1
2
2
1
1
1
3
1
2
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
2
4
1
1
2
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
3
1
1
1
2
1
3
2
1
1
1
1
1
1
1
5
1
1
3
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
2
4
3
2
2
1
1
1
1
4
1
2
2
1
1
3
1
1
1
4
2
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
7
1
1
2
1
4
1
2
2
2
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
2
10
1
2
2
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
3
1
1
2
1
2
6
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
2
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
3
2
2
16
5
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
3
2
1
35
2
1
3
1
15
24
2
2
1
1
3
1
1
3
1
1
2
1
2
1
1
1
1
3
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
4
4
2
4
1
1
1
3
1
2
1
4
1
6
15
3
2
3
6
2
1
2
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
2
2
2
1
1
33
1
1
1
2
47
1
634
1
4
5
2
1
1
1
2
1
1
2
1
1
4
5
1
1
5
2
1
9
1
1
1
1
1
1
1
3
1
3
2
32
1
3
1
1
2
1
1
3
2
1
1
3
3
158
140
1
1
1
37
20
1
1
5
2
1
1
1
5
1
1
1
6
1
1
1
1
1
1
1
2
3
6
1
1
1
1
1
1
1
1
1
1
1
2
4
2
1
2
1
2
8
2
1
1
1
13
1
2
1
2
7
1
1
1
1
1
1
2
1
1
7
2
2
2
1
1
2
3
2
1
1
2
1
2
1
4
1
1
2
3
5
1
1
3
1
2
2
6
1
1
1
2
1
1
1
3
1
4
1
3
1
3
1
3
3
1
1
1
1
2
1
2
1
1
1
1
3
2
1
1
2
2
3
1
1
3
2
2
1
3
6
1
9
1
51
3
2
2
2
3
3
1
1
1
1
1
4
1
3
5
2
1
2
2
1
1
1
2
1
1
1
2
3
3
5
9
1
1
1
4
1
4
1
2
3
109
1
2
1
1
3
1
2
1
1
1
1
65
1
1
3
1
1
1
1
1
10
56
4
4
1
1
1
1
1
1
1
3
1
2
2
53
1
1
1
11
1
1
2
1
1
3
7
1
2
2
2
1
1
1
5
1
1
1
2
1
4
3
1
1
1
1
11
4
17
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
3
2
2
1
2
3
16
1
2
1
2
1
1
4
1
2
3
1
3
1
1
7
1
1
2
293
1
1
1
4
5
1
1
15
1
2
2
1
1
2
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
2
1
35
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
4
1
2
1
1
1
1
2
1
1
1
3
1