1
1
1
1
3
1
6
1
1
1
1
1
4
1
1
1
2
1
1
1
2
1
1
1
3
1
2
3
1
1
1
2
1
2
2
1
1
3
3
2
55
1
4
1
2
2
3
1
1
3
3
1
1
1
5
2
1
1
2
1
1
2
1
1
1
2
1
1
269
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
17
1
5
48
1
1
1
2
2
1
1
1
2
3
21
1
2
2
1
2
1
6
1
1
1
1
2
4
1
1
1
1
1
2
1
1
1
3
7
1
1
3
1
1
2
1
1
1
1
5
49
1
5
1
2
1
1
1
1
1
5
7
4
2
1
7
2
1
1
15
3
4
3
4
1
2
103
4
1
1
2
5
1
1
1
1
1
5
1
39
29
1
4
1
1
1
1
1
2
1
3
1
1
1
10
5
2
1
1
1
1
1
1
1
1
4
1
1
1
7
1
1
1
1
1
1
4
2
7
1
1
2
1
1
1
1
2
1
8
1
1
1
1
1
2
5
1
4
1
2
197
1019
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
21
69
3
2
1
1
1
1
1
1
6
1
1
12
1
6
6
1
1
1
1
1
1
2
1
1
1
1
1
3
1
160
432
1
2
1
1
2
3
5
3
1
1
1
36
1
1
4
1
2
1
1
1
5
1
2
2
2
1
2
84
1
1
2
1
3
1
3
1
15
10
2
1
3
1
1
2
2
15
1
3
2
1
1
1
9
1
2
1
2
1
1
1
2
1
1
1
1
1
3
1
5
2
2
8
2
1
1
1
1
5
9
1
1
1
1
2
1
1
381
1
1
3
4
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
11
1
1
3
2
3
2
1
1
1
1
1
1
1
1
2
1
1
29
1
1
1
1
1
1
1
1
1
2
1
1
314
17753
1
2
1
2
2
1
1
1
1
9
2
1
1
4
2
1
90
1
2
3
5
1
1
1
1
2
1
2
1
1
1
1
1
17
1
3
3
12
1
1
1
3
1
2
2
2
1
1
4
1
1
2
1
2
2
2
1
1
3
2
2
3
1
1
1
22
1
1
4
1
1
1
1
1
1
1
2
1
2
1
1
2
1
16
5
1
1
2
1
1
1
1
1
1
2
5
1
1
1
1
1
2
4
3
1
1
6
1
1
1
1
1
1
1
3
1
1
3
1
4
1
20
6
10
6
1
1
1
1
1
1
1
1
1
1
10
201
44
4
1
1
1
1
1
1
1
2
1
1
2
2
9
1
2
5
1
29
1
1
1
1
1
2
1
1
1
3
2
12
5
2
1
6
6
2
2
6
3
1
1
1
4
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
2
1
1
1
1
2
21
1
3
1
1
3
2
2
1
4
1
1
2
1
2
1
1
1
1
35
163
52
106
19
2
10
1
1
2
4
3
1
4
2
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
104
637
589
1
2
1
1
1
13
4
2
1
1
1
1
2
1
376
585
1128
1
13
2
1
3
3
2
1
1
3
1
3
2
1
2
1
1
1
1
2
1
1
1
2
3
1
2
1
1
10
1
5
1
1
1
1
2
2
2
2
5
1
1
1
1
2
1
2
2
9
1
1
1
1
5
1
40
1
84
15
12
3
1
7
5
1
1
4
1
1
2
1
2
12
1
1
1
5
2
1
1
1
1
4
7
1
6
1
1
1
6
1
1
2
4
2
1
3
1
3
1
3
1
4
1
1
1
1
1
2
32
1
1
1
1
1
2
1
1
1
2
8
2
1
1
1
1
2
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
10
1
15
1
1
2
1
3
2
1
1
10
2
3
2
63
1
1
1
1
1
1
1
4
2
1
1
2
3
1
1
1
3
1
3
1
22
10
2
2
2
2
1
1
4
1
10
1
6
1
3
3
3
6
1
1
1
2
2
1
1
1
10
6
14
1
1
1
1
61
1
1
1
1
1
1
1
1
1
1
1
4
1
2
27
1
3
1
1
1
7
12
1
1
1
2
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
23
7
5
3
4
3
1
1
1
2
7
1
2
1
2
1
1
1
1
1
4
1
3
2
1
1
1
1
2
6
2
2
1
2
28
2
1
1
1
1
1
1
3
2
1
1
2
1
1
1
1
2
3
1
2
1
1
395
617
302
18
1
1
1
47
3
2
1
1
30
110
17
1
2
4
9
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
1
1
2
1
2
1
352
1063
332
1
19
1
1
1
3
1
1
2
2
1
83
1
1
2
1
1
1
1
1
1
1
87
159
1
2
16
1
1
1
9
1
1
1
29
18
5
1
1
1
2
20
6
39
2
2
1
1
2
1
1
6
2
2
1
1
1
1
4
1
2
1
3
4
1
1
2
76
108
1
1
1
2
1
1
1
2
1
1
1
19
1
1
1
149
232
72
1
1
1
1
8
1
8
1
1
2
3
1
1
1
1
1
1
1
1
5
4
4
3
2
5
1
1
1
1
1
14
1
2
1
2
2
2
35
910
1265
661
14
1
1
1
1
5
1
17
1
1
1
1
1
3
2
1
1
2
1
95
540
79
1
3
1
1
1
1
1
1
1
1
1
1
2
12
1
1
161
3
2
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
2
1
2
1
1
2
1
2
10
3
3
1
1
2
153
1
1
1
13
1
18
2
2
1
1
1
1
1
1
1
1
1
1
31
1
2
1
1
1
1
1
2
2
1
8
1
1
2
1
1
3
4
1
1
1
1
1
1
1
1
1
236
280
268
2
1
3
1
1
1
1
1
2
1
2
2
1
1
1
2
3
1
1
1
3
1
1
1
2
1
3
6
1
1
19
2
10
1
2
1
15
3
1
9
3
1
1
1
2
1
1
2
1
1
1
1
5
5
1
1
1
1
1
2
3
2
2
1
1
5
2
1
13
1
1
1
1
1
2
2
1
6
4
1
1
1
2
1
1
1
1
1
1
33
2
4
1
4
1
1
1
1
1
1
1
1
1
1
3
4
1
1
4
1
1
1
1
31
36
1
1
1
2
3
5
1
1
63
2
1
1
638
226
3
14
1
1
2
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
236
616
1
1
3
1
5
1
1
1
2
4
5
2
1
3
1
4
1
1
9
1
1
1
5
6
1
31
25
122
1
1
1
1
1
15
154
31
15
55
1
1
2
1
1
1
1
1
1
1
1
17
1
342
2
6
2
1
1
2
1
66
147
1069
1
2
267
1
1
1
1
1
1
2
62
105
63
1
1
1
2
1
1
4
19
89
1
73
23
66
1
1
1
2
1
315
1
1
1
10
1
2
4
13
4
1
1
3
1
1
2
1
1
244
935
313
1
4
1
14
1
1
3
8
1
1
2
3
2
1
4
1
1
1
1
1
1
2
2
23
1
1
2
12
2
2
3
2
4
1
1
2
1
1
1
8
1
1
6
1
4
2
1
3
1
1
1
1
1
1
1
1
5
9
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
2
1
4
8
1
3
6
1
1
2
1
1
1
806
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
4
1
2
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
10
2
2
1
1
1
4
1
5
14
2
2
1
6
1
2
1
1
1
1
7
2
1
1
1
2
16
1
1
2
1
1
1
1
1
16
4
4
2
2
1
2
1
1
18
2
3
1
36
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
1
1
1
4
2
2
1
1
1
2
5
3
1
2
2
4
1
1
1
1
1
1
48
2
1
4
2
2
1
2
1
1
1
1
1
3
1
8
1
1
2
1
1
1
1
1
51
35
1
1
1
1
1
1
1
2
1
1
21
1
1
1
1
216
6
17
91
1
1
1
1
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
4
2
1
1
1
1
1
8
1
1
1
7
1
1
3
1
1
1
3
3
2
1
1
3
1
1
1
1
1
1
2
7
1
4
1
1
1
1
1
1
2
1
2
2
1
1
1
2
1
3
1
2
1
1
70
1
2
1
1
1
3
2
17
4
55
17
8
3
1
2
1
1
1
3864
1
1
40
1
21
2
1
3
1
1
1
1
1
1
3
1
1
10
3
1
442
182
2
2
3
1
5
5
1
1
1
1
1
2
1
1
2
1
1
1
2
2
1
2
1
1
4
1
1
1
5
2
2
2
8
33
1
15
1
1
4
1
4
1
111
1
4
1
1
2
1
1
1
2
1
2
2
1
6
1
10
1
1
1
1
19
1
1
1
2
1
1
1
2
1
15
1
3
1
3
1
1
2
2
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
127
1
1
1
1
1
3
1
3
1
2
2
1
1
2
1
2
1
1
3
2
4
1
1
1
6
3
1
2
2
1
2
1
1
4
2
3
4
1
3
1
146
205
42
1
1
2
3
1
1
1
1
1
5
1
1
1
1
1
1
13
1
4
1
1
2
1
2
1
1
1
2
1
11
2
1
4
1
1
1
1
1
1
3
4
2
1
2
1
47
1
6
1
1
1
25
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
3
4
1
15
2
14
3
1
2
6
1
1
1
9
1
2
1
1
1
1
2
1
1
2
2
2
1
1
1
4
4
1
1
3
1
2
3
8
3
1
2
1
1
1
15
4
1
81
8
1
1
1
1
1
1
3
11
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
10
1
1
1
1
1
2
1
1
7
1
3
15
2
2
1
1
1
1
1
30
17
2
1
1
1
6
1
1
3
1
2
1
2
1
9
1
1
3
1
1
1
2
1
2
1
3
1
1
1
1
1
1
2
1
1
2
3
12
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
4
5
1
1
5
1
2
1
1
2
1
4
1
2
1
3
4
1
1
1
1
2
1
2
3
1
1
1
1
1
16
4
6
1
1
1
1
1
1
3
1
8
1
3
2
9
7
2
1
1
2
2
20
7
1
5
1
2
2
1
1
1
1
1
2
1
5
1
2
1
1
1
2
1
2
1
1
1
1
2
1
1
4
5
1
2
53
1
6
2
1
1
1
3
1
2
1
1
1
1
3
6
1
1
1
1
197
678
754
1
1
4
1
1
2
1
3
1
4
14
60
26
1
1
2
33
48
78
1
14
7
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
4
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
2
1
1
3
3
2
1
1
1
1
2
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
2
1
2
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
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
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
3
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
95
1
1
1
1
1
2
2
2
1
2
1
1
1
1
1
6
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
4
4
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
3
1
2
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
6
1
1
1
4
1
165
389
43
221
1
365
1
1
108
1
1
1
2
3
1
8
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
10
2
1
1
2
2
2
1
1
1
1
9
1
1
1
4
3
1
1
1
36
184
4
2
2
1
1
1
1
3
1
1
1
1
1
2
2
2
1
1
4
4
2
1
1
1
1
1
1
10
2
1
1
1
1
1
1
1
3
4
24
1
10
1
2
1
1
2
3
2
1
1
2
3
1
1
1
5
2
4
2
1
1
1
2
1
6
1
1
1
4
1
5
9
14
1
1
22
7
1
1
7
1
1
3
1
1
2
1
1
2
1
1
1
1
1
56
1
1
2
2
2
2
1
3
1
1
2
2
2
19
11
1
1
1
1
1
1
1
1
2
1
1
1
3
6
2
1
1
2
3
2
3
1
2
1
2
1
7
2
4
2
1
1
1
1
1
3
2
3
1
1
2
1
22
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
34
4
1
1
9
1
1
12
119
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
2
5
1
5
1
1
1
1
4
1
1
1
4
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
8
1
15
12
1
7
2
2
1
3
3
3
1
1
1
38
11
3
1
1
1
1
2
2
2
61
1
2
6
2
22
1
4
1
1
2
1
4
1
2
2
4
1
1
1
2
1
6
2
1
1
2
1
1
1
3
1
1
12
2
4
1
1
1
2
2
1
6
37
92
34
1
2
1
1
1065
868
1905
1
2
1
40
35
9
1
9
3
1
2
4
2
2
1
2
11
2
1
3
1
1
1
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
2
27
2
1
1
3
1
1
1
1
1
2
3
2
1
1
1
5
1
1
46
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
10
6
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
5
2
1
1
2
1
1
19
1
2
2
1
1
1
1
1
1
5
1
1
1
1
1
2
4
2
1
1
4
1
2
1
1
1
3
1
1
1
1
2
1
3
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
2
3
1
1
1
1
1
2
1
3
1
1
1
10
2
2
1
1
2
1
1
2
1
1
3
1
1
15
2
2
1
1
1
1
1
1
1
1
1
1
2
1
4
3
2
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
4
1
1
1
4
2
2
2
1
1
1
1
1
1
1
1
1
1
1
15
2
1
1
2
1
4
1
3
1
1
2
1
1
2
1
1
1
1
1
3
5
1
3
1
1
1
3
2
5
1
1
1
31
1
1
3
17
1
1
2
1
1
2
2
1
1
1
595
2
1
1
1
3
3
1
1
1
1
1
1
1
2
1
2
3
3
1
7
1
17
3
3
1
6
1
7
1
1
2
2
2
1
5
1
101
196
1
1
1
1
3
2
1
5
1
1
1
4
1
4
2
7
17
7
1
1
1
1
1
1
4
9
1
2
4
1
1
1
2
1
2
23
2
3
1
4
2
9
1
2
2
2
1
4
23
1
1
1
2
2
1
6
35
1
1
3
1
1
2
1
1
5
1
1
1
1
2
4
1
20
1
2
1
1
3
1
1
6
1
1
1
1
1
16
1
1
1
1
1
1
2
1
1
3
2
1
5
1
14
1
1
3
7
1
2
1
30
1
2
1
2
2
1
56
3
1
2
1
2
1
1
49
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
2
1
1
6
1
1
1
11
1
15
4
1
1
1
1
108
2
2
1
1
43
2
1
1
1
1
1
2
1
1
1
1
1
1
1
28
7
1
1
1
1
6
1
1
1
5
1
1
