1
1
2
1
1
1
6
1
1
2
1
3
7
1
1
1
1
1
1
1
3
1
1
2
1
3
2
7
1
1
1
1
1
3
4
3
1
1
1
1
1
1
2
1
1
2
2
3
11
1
1
1
5
1
1
2
1
5
1
1
3
1
2
1
1
1
1
2
1
1
1
2
1
3
1
2
1
1
1
2
1
5
1
1
1
4
31
1
1
2
1
2
2
1
1
6
1
1
1
1
1
2
1
3
3
1
1
3
1
1
5
6
2
1
1
1
1
2
1
2
2
1
1
5
2
1
1
3
1
2
99
29
2
3
1
1
1
2
2
2
3
1
1
1
1
1
1
1
2
4
4
1
2
1
3
1
4
7
1
3
3
1
1
1
1
1
1
1
1
1
5
6
5
1
1
1
1
1
2
1
7
1
2
1
2
1
1
1
1
7
1
1
181
1093
4
2
1
1
2
1
1
1
1
1
1
1
1
2
113
2
3
4
1
1
2
3
1
2
3
7
1
4
12
1
2
1
1
1
1
1
402
209
1
1
1
4
1
1
1
1
2
1
2
2
1
1
3
1
1
1
2
1
1
8
1
20
2
4
1
2
1
2
3
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
13
1
1
2
4
1
1
1
1
2
1
1
1
1
19
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
53
3
1
10
2
1
1
1
287
17033
1
1
10
1
2
8
1
3
1
89
2
1
2
2
1
1
1
1
1
2
1
7
1
2
1
1
1
1
1
13
1
1
1
1
1
7
1
1
1
1
1
1
1
1
21
2
5
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
14
8
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
9
5
1
1
1
1
1
1
1
1
1
1
1
1
50
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
185
53
5
2
1
1
1
1
2
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
19
2
2
1
2
1
1
1
16
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
4
1
1
1
3
1
2
1
5
3
2
2
1
1
1
1
1
6
1
1
5
1
1
1
1
1
1
1
1
2
4
1
1
152
71
92
15
1
2
1
2
2
1
2
1
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
587
187
1
2
1
1
2
2
615
669
999
19
4
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
2
5
3
2
6
1
1
1
1
1
1
2
2
1
2
1
1
3
1
2
1
1
3
82
11
4
3
5
2
4
1
1
1
4
1
2
1
1
1
2
1
1
1
3
5
3
1
1
4
1
12
3
1
3
1
1
1
1
14
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
1
4
1
2
1
4
1
1
1
1
1
1
1
1
4
1
1
2
1
2
1
1
1
1
1
6
9
2
1
1
1
1
4
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
6
19
7
1
1
1
47
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
4
1
2
1
1
2
1
1
1
1
8
1
4
1
3
1
1
2
1
1
1
1
2
4
1
1
2
2
8
1
1
3
1
3
1
1
4
1
2
2
3
1
2
1
6
2
1
1
1
1
1
1
3
1
1
606
593
122
1
12
1
1
48
3
1
1
1
101
85
1
3
9
1
1
2
1
1
1
1
1
2
1
1
1
6
1
2
2
1
1
2
2
1
2
1
1
1
6
1
1
1
1
964
653
1
18
22
1
2
1
1
2
1
10
1
1
1
1
3
2
2
1
1
172
180
1
2
1
2
4
3
1
1
5
1
175
1
1
1
1
1
5
1
1
1
2
1
1
1
2
1
3
1
1
1
1
98
99
1
1
1
2
1
1
4
1
15
1
200
215
1
1
1
2
1
7
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
8
2
2
2
1
10
1
2
1
1
2
1
1203
1291
31
1
1
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
1
2
1
1
1
1
484
204
1
1
1
1
1
3
3
1
1
2
2
2
1
1
1
1
1
1
1
1
5
1
1
3
1
5
1
1
1
1
2
1
1
1
1
1
1
1
4
4
1
1
1
1
167
1
1
15
4
16
1
3
2
1
1
1
5
2
1
5
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
3
1
2
1
268
477
101
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
21
1
1
7
1
1
1
1
1
1
1
1
6
3
1
1
3
7
2
1
1
2
1
2
1
1
2
4
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
29
1
1
1
1
1
1
1
2
1
1
1
3
7
1
1
2
1
1
1
1
1
29
1
1
3
1
56
3
1
219
805
3
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
551
419
1
4
1
1
1
2
1
5
1
1
1
2
1
1
2
8
3
1
1
1
6
1
1
34
1
1
2
1
1
142
33
12
3
1
1
2
3
4
1
2
1
1
2
1
1
1
131
170
1
120
1
1
2
1
1
1
1
1
2
11
1
1
1
39
132
177
1
1
1
84
1
1
1
2
117
30
1
1
3
429
2
1
8
3
1
4
1
1
1
6
1
949
376
227
3
2
13
2
2
1
1
1
8
1
1
1
2
1
1
1
2
1
2
1
2
37
1
1
1
1
2
2
1
1
1
1
1
1
1
3
3
1
5
2
1
4
3
1
1
1
3
1
1
1
1
1
4
2
10
2
1
1
2
1
1
1
1
1
1
3
1
1
4
1
2
2
1
2
1
3
1
1
2
1
1
2
1
2
597
1
2
1
2
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
3
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
4
7
1
1
1
1
4
1
1
34
1
1
1
1
1
6
45
1
1
1
1
1
1
307
1
1
86
36
13
2
2
3
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
4
1
4
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
73
1
1
1
2
1
1
4
8
6
18
4
7
2
1
3
4
1
3193
2
1
1
5
1
2
1
1
1
1
2
1
1
4
1
2
1
3
3
1
1
405
4
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
5
1
1
1
1
1
2
1
4
3
1
1
25
1
1
1
1
1
1
4
1
2
192
4
1
1
3
1
2
5
1
2
1
1
1
1
1
1
3
4
1
1
1
1
10
2
1
6
1
3
1
1
2
1
1
1
2
17
1
1
4
2
1
1
7
1
1
1
1
3
2
1
1
1
58
5
1
3
1
2
1
1
1
1
2
1
1
1
2
107
2
1
1
1
3
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
225
184
36
1
1
1
1
1
1
1
1
1
1
2
1
2
12
2
1
1
2
1
2
33
1
1
1
1
1
1
2
2
1
2
1
1
1
74
1
3
1
1
14
1
4
1
1
2
1
1
1
1
1
1
7
1
1
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
2
1
2
1
1
2
1
2
1
7
2
1
1
1
1
90
8
2
1
2
1
4
1
1
3
1
1
2
1
4
1
1
10
1
1
1
1
1
24
2
2
1
1
1
1
21
1
1
1
1
2
1
1
1
2
3
1
2
2
1
2
1
6
1
3
1
1
1
2
1
2
2
1
2
1
1
1
12
1
2
1
1
1
1
1
1
1
3
1
1
1
1
9
3
1
2
1
1
2
1
3
1
1
4
2
1
16
7
1
1
2
1
1
3
1
1
1
2
2
7
2
1
2
2
1
1
1
1
2
3
1
1
1
1
2
1
3
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
6
1
1
1
1
2
1
5
641
263
733
1
8
1
1
9
52
28
4
45
33
52
5
1
4
40
6
1
1
1
5
2
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
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
2
1
1
1
2
1
1
2
1
1
1
2
2
3
1
1
2
1
1
2
1
1
1
1
3
3
5
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
2
5
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
2
1
1
1
1
3
2
1
1
2
1
1
1
1
2
1
2
1
1
4
1
1
4
2
1
2
1
1
1
2
1
1
2
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
78
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
4
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
7
1
1
1
1
1
1
1
1
1
19
1
1
2
1
2
2
1
1
1
1
1
4
1
2
1
1
1
17
2
1
1
1
1
1
1
350
325
233
1
1
368
1
1
1
1
244
1
3
5
1
1
7
2
1
4
1
1
1
2
1
2
1
2
1
1
1
3
1
1
16
1
1
1
5
1
1
2
1
1
1
2
1
1
1
1
1
2
3
165
80
2
1
1
2
2
3
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
5
2
4
20
1
1
1
21
1
1
1
2
1
1
1
5
1
2
1
1
1
1
3
1
1
2
2
1
2
2
1
2
1
1
5
1
2
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
23
3
1
1
1
1
1
1
1
2
2
2
1
1
1
5
2
1
1
2
1
9
2
2
5
1
1
1
1
1
1
1
2
1
2
1
1
13
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
4
1
34
1
1
1
9
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
2
1
3
2
1
2
3
1
1
9
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
8
4
1
3
3
4
1
5
1
3
6
1
1
1
2
37
2
2
21
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
11
1
1
3
1
1
1
7
84
90
1
5
1
874
1279
1
1704
2
1
69
43
9
2
3
1
1
1
1
1
4
1
1
3
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
4
2
1
3
1
1
1
2
1
1
1
7
1
1
1
2
1
1
1
2
1
1
1
3
1
1
8
5
1
1
1
1
1
2
7
1
1
1
3
1
1
2
2
1
1
5
5
1
1
1
1
1
3
1
4
1
2
1
1
2
2
1
2
1
1
3
3
1
3
1
1
1
1
3
1
27
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
2
1
1
1
1
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
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
3
1
1
3
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
2
6
1
3
1
1
1
2
3
4
2
1
1
1
1
3
1
1
1
1
48
1
1
16
31
3
5
1
1
1
1
1
1
4
1
2
1
4
1
1
3
3
1
7
3
9
1
3
12
2
1
1
1
1
1
1
1
697
1
1
1
1
2
1
4
1
1
1
2
2
12
5
1
1
1
4
12
3
1
1
1
2
1
1
190
177
1
1
1
1
2
3
2
5
4
6
1
1
2
1
1
1
1
1
1
1
1
4
2
1
2
4
1
1
2
1
1
4
4
1
1
2
1
1
1
1
1
3
15
1
2
1
1
1
1
4
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
16
1
2
3
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
2
4
3
1
7
1
4
3
3
1
3
1
24
1
1
1
2
1
2
78
1
1
2
2
70
1
3
4
3
1
3
3
2
1
6
1
1
1
1
1
2
1
1
1
1
2
1
2
1
2
1
8
1
1
3
4
2
13
3
2
1
1
1
1
84
10
2
2
1
2
2
2
2
1
3
3
1
2
1
1
17
7
1
1
3
1
4
1
1
1
1
