1
1
1
1
8
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
2
4
1
1
1
3
1
1
1
1
1
1
2
1
2
2
1
1
1
4
1
1
1
1
6
1
1
1
2
2
3
1
1
1
1
3
1
1
1
2
2
2
1
1
14
2
10
1
5
25
1
1
2
1
1
1
2
1
10
1
1
1
1
2
1
1
1
2
1
1
5
1
1
3
1
15
2
1
2
1
2
4
1
1
11
8
1
2
1
1
4
3
1
1
8
2
1
1
1
7
2
3
1
2
1
1
1
2
1
1
1
1
2
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
3
1
1
1
2
3
1
1
1
1
1
1
4
1
1
1
1
1
4
1
1
8
1
1
1
1
4
2
1
1
1
1
20
91
1
2
1
86
1
3
1
1
2
3
14
1
3
4
1
1
1
1
1
1
2
2
1
2
176
4
1
8
1
2
6
1
10
9
2
1
1
1
1
53
3
3
5
13
1
1
9
2
7
1
2
11
1
6
1
1
18
1
1
1
1
1
1
2
1
2
4
1
1
1
1
2
1
2
1
1
1
157
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
42
1
1
1
4
653
2
1
5
1
1
1
17
1
1
2
88
1
1
1
1
1
1
3
2
2
1
1
1
20
1
1
1
2
1
1
12
1
1
1
1
2
1
1
2
1
2
3
1
1
1
2
1
13
1
1
19
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
15
2
1
1
1
1
1
2
2
1
1
4
1
1
1
1
1
1
2
2
2
8
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
2
31
1
1
3
1
2
7
2
2
1
1
1
1
18
39
1
1
1
1
1
2
1
1
1
4
1
1
7
1
1
7
30
1
1
1
1
1
2
6
6
3
2
6
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
3
2
3
2
1
1
9
2
1
2
1
2
1
1
1
1
7
1
1
2
1
1
1
1
1
2
2
1
1
45
52
16
18
2
2
1
1
4
1
1
1
1
6
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
132
610
1
1
1
3
1
1
2
3
1
493
75
1
12
1
1
1
2
1
1
1
2
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
14
5
3
1
1
1
1
5
1
2
3
8
1
1
1
1
1
2
1
2
21
3
20
13
3
6
5
7
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
22
1
3
1
8
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
26
1
1
1
2
1
3
2
1
1
1
3
1
4
47
1
1
1
1
1
4
1
2
1
1
1
2
4
1
8
9
1
2
1
1
1
2
2
1
27
1
1
2
1
1
1
1
3
1
1
1
13
7
1
1
2
65
2
1
1
1
1
2
1
3
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
6
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
10
1
9
3
2
6
4
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
5
1
18
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
3
1
1
1
488
151
1
17
1
1
42
2
1
1
44
22
14
1
2
2
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
458
308
1
2
2
1
5
1
2
1
2
121
1
1
1
3
3
2
1
127
1
1
7
1
4
1
1
8
4
1
1
1
17
4
82
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
86
1
1
2
1
1
2
1
2
1
29
1
1
1
166
48
1
1
12
3
1
1
1
1
1
7
2
1
2
1
5
1
1
4
4
1
1
1
3
2
2
1
8
1
1
1
1
45
1074
654
1
3
1
1
1
1
1
4
2
1
2
116
1
1
1
2
1
1
2
1
1
1
128
66
1
1
1
2
1
1
1
1
10
1
80
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
3
1
2
1
2
1
1
1
1
1
1
2
1
1
1
2
131
11
2
5
1
2
1
1
1
3
1
1
1
3
2
3
2
1
1
4
3
1
1
1
1
1
1
1
1
327
171
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
8
2
1
1
21
1
1
9
1
2
1
1
3
1
1
1
1
16
1
1
8
2
1
1
7
1
1
2
1
1
3
6
2
2
1
2
2
1
1
1
1
2
1
1
1
4
2
1
1
1
3
1
1
1
2
1
1
1
1
4
2
1
4
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
4
1
3
1
1
1
15
1
5
4
1
2
764
11
1
1
1
4
1
2
5
4
2
1
2
1
1
2
1
295
1
1
8
2
1
2
1
3
1
3
1
2
1
3
14
1
6
1
1
5
4
1
5
1
22
112
1
1
1
1
4
1
17
29
55
1
10
1
1
1
1
16
1
148
1
1
2
1
1
1
1
1
1
84
440
143
1
1
1
3
3
1
1
1
1
1
1
98
71
1
1
1
1
2
1
18
1
1
89
29
1
2
384
1
1
1
1
1
9
4
4
1
2
1
1
1
326
87
1
1
3
2
1
19
2
2
2
1
1
1
1
13
1
2
1
4
1
3
1
1
1
1
1
1
1
24
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
4
1
1
2
2
3
1
1
2
1
1
1
1
1
4
1
1
3
1
1
3
1
2
2
1
1
2
1
4
1
1
1
1
3
3
1
4
1
1
1
1
2
1
1
1
3
1
2
1
5
1
1
2
2
1
1
1
1
1
2
1
1
2
1
2
1
1
3
1
1
2
2
1
1
1
2
4
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
3
11
1
1
4
1
1
1
1
6
1
1
1
2
1
1
1
2
1
1
43
5
1
1
3
1
6
19
4
41
1
1
1
4
5
1
1
1
1
1
1
3
1
1
2
2
1
1
2
1
1
1
1
1
1
1
6
1
1
2
2
1
1
1
1
3
3
2
2
1
2
5
1
1
1
1
1
50
1
2
37
1
1
1
3
256
1
2
20
1
1
1
4
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
3
2
1
1
8
3
2
1
1
1
1
3
3
1
1
1
1
2
1
3
5
1
1
83
1
2
1
1
5
6
8
1
15
1
5
19
3
1
3
3
1
1
1
1
3825
1
1
18
1
1
3
2
1
1
1
5
2
2
96
1
1
1
1
2
1
1
1
4
2
1
5
1
1
5
1
2
1
1
1
2
1
15
1
2
1
4
49
5
1
2
3
139
1
10
1
5
2
2
1
1
1
6
1
5
12
1
2
1
1
5
1
1
3
1
1
1
1
1
1
29
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
144
1
2
1
8
1
1
1
1
1
1
3
1
2
1
1
2
3
2
6
1
2
2
1
180
3
1
1
1
1
1
1
1
2
11
1
1
1
1
1
1
18
2
1
1
1
1
1
1
1
2
2
1
60
4
1
21
5
1
3
2
2
1
1
1
11
1
7
1
31
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
11
1
1
95
5
1
1
1
1
1
1
1
1
8
2
1
1
1
1
11
3
3
1
1
3
2
12
1
1
1
1
1
2
20
1
1
1
1
1
2
1
14
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
13
1
2
1
1
1
1
1
1
1
1
1
1
1
1
6
2
2
2
1
2
1
1
3
1
1
5
3
1
1
3
1
3
1
1
2
1
2
1
20
3
3
1
1
1
2
1
1
4
1
1
1
1
11
8
1
20
2
3
3
1
1
1
1
1
8
1
1
1
1
2
1
4
1
1
62
2
1
3
3
2
1
1
1
1
1
1
2
1
2
1
1
2
1
225
1
1
1
2
5
21
25
36
4
1
19
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
1
1
3
3
1
1
1
1
2
1
1
1
3
1
1
1
2
2
1
1
2
1
1
4
1
2
1
2
1
1
2
1
1
1
2
1
1
3
2
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
4
2
1
6
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
6
1
1
2
2
2
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
3
1
1
1
2
2
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
2
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
68
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
2
1
1
1
4
1
1
1
1
1
2
1
1
1
1
4
1
3
1
1
6
1
2
4
1
3
1
1
1
1
1
1
1
2
1
6
1
4
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
251
44
269
402
1
145
2
3
3
2
1
1
1
1
1
2
1
1
1
3
1
3
9
1
1
1
5
1
2
1
6
1
3
2
1
2
3
1
53
1
2
1
1
2
1
1
1
1
2
1
3
3
1
1
1
2
1
1
1
1
2
1
1
1
1
1
8
1
1
2
19
1
1
7
1
1
3
3
2
1
1
1
1
2
1
2
1
3
2
11
2
2
4
1
1
4
1
1
3
6
1
3
15
1
13
2
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
2
30
1
1
1
1
1
1
3
1
1
1
12
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
2
4
1
1
3
8
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
9
1
1
3
1
1
1
1
1
2
1
1
1
1
4
172
1
2
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
4
2
3
1
3
1
5
2
4
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
2
1
1
1
4
2
1
2
1
4
3
2
1
1
1
2
1
3
2
1
1
1
53
6
5
1
22
1
1
1
1
1
4
4
5
1
1
1
1
1
1
1
1
1
19
2
2
1
2
2
2
6
52
24
1
1
1269
178
1
1
2
1
2
47
7
2
5
3
2
1
3
5
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
5
1
1
2
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
21
2
1
1
1
2
3
1
1
5
5
1
1
1
1
1
1
2
2
1
1
1
2
1
3
1
1
2
1
4
1
1
14
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
3
1
1
1
4
1
2
1
1
2
1
1
2
1
1
1
1
1
4
2
1
4
1
1
1
1
1
1
3
1
1
4
1
1
1
4
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
5
1
1
1
14
2
2
2
3
1
2
1
4
1
1
2
1
4
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
2
2
3
4
1
1
2
1
1
7
1
2
1
1
1
1
1
1
1
1
11
2
1
1
1
6
1
1
1
3
1
1
1
3
1
2
3
4
1
1
1
1
1
5
4
1
1
37
1
17
1
1
1
1
1
1
1
1
1
660
2
3
1
1
1
1
1
1
1
1
1
1
2
1
23
1
6
1
3
6
2
1
1
2
1
3
1
1
125
1
1
1
1
3
1
5
4
3
1
9
8
4
1
1
1
5
1
10
1
1
3
1
1
1
4
2
1
1
1
3
1
3
2
1
1
1
1
1
6
21
3
1
1
2
1
8
19
2
1
1
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
5
1
2
2
1
1
1
1
1
18
2
34
4
1
1
1
1
3
1
1
1
16
2
5
1
2
21
1
1
1
1
1
61
1
1
1
1
4
1
2
1
1
51
3
1
1
1
1
4
2
2
1
6
1
1
1
2
2
1
2
2
1
2
1
2
2
6
2
1
1
1
1
1
2
1
1
1
1
9
2
2
1
1
2
2
1
77
1
1
1
1
1
1
2
1
1
2
3
1
1
1
21
7
1
1
2
7
1
1
2
3
