3
1
1
2
10
1
1
1
1
1
2
1
5
1
1
1
1
7
1
2
2
1
1
1
1
1
5
1
1
1
1
1
5
7
1
1
1
2
2
4
1
1
1
1
1
1
2
2
30
1
1
1
1
1
3
1
5
2
1
1
3
2
2
3
11
1
1
1
1
14
3
1
1
2
1
1
1
1
6
1
1
5
1
1
2
2
1
2
1
1
125
1
2
1
3
1
1
1
1
5
1
4
1
3
1
2
2
2
1
2
1
8
1
3
1
43
3
1
1
1
1
1
3
7
29
1
1
1
1
2
1
1
1
2
1
2
2
2
2
1
1
1
1
7
1
1
1
1
2
1
1
1
1
5
1
1
4
5
1
8
2
1
1
2
3
3
55
1
1
2
1
11
2
3
1
1
1
1
2
1
1
5
8
3
1
4
1
2
1
1
1
2
2
1
2
19
1
2
1
1
5
2
2
99
27
1
1
4
3
1
1
2
4
2
2
3
1
1
2
1
5
2
1
20
1
35
1
2
1
2
1
1
1
3
5
6
1
2
2
1
4
9
17
8
1
4
1
5
1
2
1
1
1
1
1
1
4
1
1
1
9
1
1
1
2
1
1
1
3
8
1
16
1
1
1
4
1
1
1
1
1
1
1
1
3
2
4
1
1
4
1
2
1
14
1
1
1
6
2
1
4
1
1
2
12
1
1
1
1
1
186
822
3
4
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
2
22
2
116
3
1
2
1
1
1
1
1
3
2
1
1
1
14
1
8
7
1
1
2
2
1
1
1
1
1
1
1
1
1
395
218
1
3
7
1
1
1
1
1
1
3
2
1
1
2
1
1
36
1
11
2
3
1
1
1
6
1
1
2
9
1
1
3
2
1
2
103
2
1
3
1
3
1
20
22
2
7
2
8
1
1
1
1
7
7
5
1
1
5
1
1
1
1
4
1
12
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
11
8
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
4
2
409
2
2
4
8
2
1
1
1
1
8
1
1
2
2
1
1
1
1
1
3
2
8
41
1
1
1
1
2
1
3
4
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
7
3
1
1
1
1
55
2
1
1
1
13
1
1
1
1
1
13722
289
4
2
2
1
1
1
17
3
1
3
2
14
2
1
1
1
1
102
2
1
2
1
1
7
1
1
2
2
1
1
3
1
1
1
1
3
12
1
2
1
1
8
1
1
1
1
10
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
10
2
2
1
1
1
1
1
2
1
3
5
6
2
1
1
4
1
28
5
2
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
2
16
9
7
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
9
1
3
2
1
1
1
1
1
1
2
1
5
7
1
1
1
7
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
47
2
4
3
1
1
2
1
1
1
1
1
9
9
2
1
1
1
1
1
1
1
3
1
1
2
2
1
2
1
1
2
182
49
42
3
1
1
1
1
1
2
2
3
1
3
1
4
1
1
3
1
2
1
4
5
1
5
1
68
1
2
1
7
2
33
1
1
2
1
2
1
1
1
3
7
1
1
12
4
1
1
4
2
2
1
24
1
1
1
1
2
2
1
2
1
2
1
1
4
1
2
1
1
1
2
1
1
3
1
1
3
1
2
2
1
1
1
1
3
2
5
8
2
4
2
3
1
1
1
18
2
1
2
3
1
1
4
1
1
1
6
1
1
1
2
1
1
1
1
1
3
1
1
156
72
102
15
1
1
17
1
3
1
1
1
2
1
1
1
12
5
1
6
1
1
1
1
1
1
1
8
3
2
3
1
1
1
1
1
1
1
1
2
1
1
1
2
4
2
1
1
2
1
5
1
1
1
4
1
594
179
605
3
1
1
6
1
1
1
4
1
634
879
684
2
2
23
4
1
6
1
1
1
2
6
1
1
1
1
1
1
4
2
1
1
2
1
1
1
3
3
1
1
1
1
2
1
4
1
1
1
9
4
4
1
1
1
2
2
1
1
1
1
1
1
5
1
1
3
2
6
1
1
1
4
1
1
1
5
3
1
1
1
1
2
1
29
78
34
15
8
7
6
7
5
1
1
1
1
1
8
1
1
2
11
1
1
2
2
1
5
1
2
1
4
12
1
1
3
2
1
2
1
2
1
1
7
3
1
1
4
1
24
4
4
4
1
2
1
1
1
3
1
1
2
1
1
1
1
1
5
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
4
2
1
1
3
1
7
1
1
2
1
1
1
1
3
1
1
1
8
1
1
7
1
5
1
1
90
1
2
2
3
1
2
1
3
1
2
1
1
1
1
2
1
9
16
3
1
1
1
3
2
5
1
1
1
8
1
1
5
7
3
6
1
2
2
1
1
3
1
1
1
1
6
21
15
1
1
1
1
2
43
2
1
1
1
2
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
17
1
2
2
1
1
7
7
1
3
1
3
2
1
1
4
1
1
2
1
1
4
1
2
1
1
1
2
1
1
1
1
1
1
4
8
1
2
4
1
1
1
1
3
3
1
1
1
3
2
1
1
1
3
23
1
16
3
2
4
4
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
2
1
2
3
1
1
8
1
1
1
3
2
1
1
1
1
2
22
1
1
4
1
2
1
1
2
1
1
1
1
1
2
6
1
1
1
1
3
1
1
6
2
1
1
2
1
1
1
1
2
1
1
2
1
617
599
324
1
1
16
1
2
1
45
4
1
2
1
2
1
21
104
86
1
1
1
3
1
1
18
3
1
4
1
2
1
1
1
1
1
1
3
2
1
1
1
1
1
4
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
6
3
1
1
1
2
1
1
2
2
967
658
315
1
1
19
1
50
1
2
3
1
1
1
2
1
1
23
3
1
1
2
172
1
1
1
2
1
1
1
6
2
1
3
2
1
169
181
1
1
2
1
15
1
2
3
5
4
1
1
2
26
20
4
6
19
3
168
1
2
1
1
1
1
1
1
1
2
1
6
1
1
3
1
1
1
2
1
1
6
2
1
1
1
1
1
2
5
1
1
1
1
1
99
105
1
1
1
1
3
1
1
1
1
1
1
1
2
1
26
1
203
214
67
1
3
1
1
1
1
1
1
1
1
1
11
7
1
1
3
2
1
1
1
1
1
4
3
1
4
2
1
1
1
1
1
1
1
1
1
1
4
1
1
4
10
2
6
4
2
6
11
1
1
1
1
1
1
1
1
1
2
10
2
3
2
1
5
1
4
5
1
25
1251
1290
614
5
2
1
6
1
1
1
1
5
1
1
1
1
1
1
1
4
4
1
6
1
1
3
1
1
1
3
2
1
1
505
210
54
1
2
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
166
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
8
1
1
5
1
6
2
1
1
1
1
1
3
2
1
1
1
1
1
1
2
1
3
1
2
8
3
1
5
1
1
168
1
1
17
10
16
6
1
1
3
1
2
1
29
1
2
3
3
1
1
1
7
1
1
1
2
9
1
1
1
5
1
1
3
1
2
1
1
1
1
1
2
1
275
489
263
6
1
2
4
1
1
1
1
2
1
1
1
3
1
1
3
1
1
2
1
1
1
2
4
7
1
1
1
1
26
1
1
1
5
1
1
1
1
1
1
1
2
1
11
1
1
1
8
1
1
1
2
1
4
9
6
3
1
1
1
1
1
8
1
14
1
2
1
5
1
1
3
1
2
1
1
1
1
1
1
1
1
5
2
1
3
2
1
1
1
1
5
1
3
1
1
1
3
1
1
1
1
1
1
4
3
1
1
1
8
1
1
1
1
1
2
1
1
5
2
31
1
2
1
2
2
2
1
1
3
1
1
1
1
1
1
1
1
3
3
6
1
2
1
1
1
1
1
2
1
1
29
24
1
1
2
1
1
2
3
1
58
9
1
2
235
803
3
1
1
4
13
2
3
1
3
4
1
1
1
3
3
1
5
1
1
2
3
1
1
3
2
1
2
1
559
411
7
2
2
1
1
2
1
1
9
1
1
1
5
2
5
16
4
1
1
7
11
5
2
5
1
2
1
1
8
6
1
40
37
132
1
2
1
1
1
4
1
1
1
1
148
33
24
12
82
3
4
1
1
1
1
1
13
391
4
1
6
1
1
4
1
1
1
2
3
2
2
1
2
1
4
128
992
165
2
3
213
2
1
1
1
2
1
1
1
1
2
1
18
1
1
1
1
75
2
133
184
84
1
2
1
3
86
1
1
2
1
1
120
83
31
2
1
1
1
2
4
432
1
1
1
10
1
2
6
5
2
2
1
1
1
7
1
1
2
950
387
280
3
1
1
14
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
3
45
1
1
1
1
2
1
2
1
2
1
1
1
1
1
2
1
1
1
2
1
1
5
1
4
1
1
1
11
4
3
1
6
1
4
2
1
1
2
1
1
1
1
1
3
2
1
1
7
2
24
1
3
4
1
1
4
1
1
2
4
2
3
3
6
1
1
1
4
1
4
2
1
1
3
2
1
1
1
1
1
2
2
3
7
1
1
2
2
2
1
1
3
1
1
3
274
1
1
1
1
1
1
1
2
3
2
1
1
1
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
5
1
5
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
7
1
2
1
1
6
3
5
1
6
23
1
2
3
1
13
3
4
1
1
1
12
1
1
1
1
1
3
1
1
1
16
7
1
1
1
1
3
2
8
1
2
2
1
3
2
22
1
1
24
1
1
1
1
1
5
1
1
1
1
1
1
2
4
3
1
1
1
1
5
1
1
6
2
1
1
2
1
2
1
2
2
3
1
4
1
5
1
1
53
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
2
2
8
1
1
9
2
1
2
1
1
3
1
1
5
1
1
1
73
2
1
1
2
1
1
1
1
12
2
2
2
1
48
1
1
1
1
2
1
2
5
1
1
1
322
1
1
5
86
31
13
1
2
1
2
1
6
1
1
1
1
1
1
2
3
1
1
1
2
1
1
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
2
3
1
1
4
2
2
1
1
3
1
1
2
1
1
1
1
1
1
3
1
2
2
1
1
1
7
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
2
1
1
1
1
3
1
113
1
1
1
1
2
7
12
12
7
2
17
4
4
3
3
3
2
1
4735
1
3
4
1
1
22
33
1
1
3
1
4
1
1
1
2
1
1
1
1
3
1
7
1
5
1
1
1
2
412
196
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
6
1
1
1
1
3
1
1
1
1
1
4
1
3
1
7
2
1
2
2
1
1
6
1
1
2
3
1
1
3
1
7
3
1
1
1
1
2
50
1
18
1
1
1
1
2
1
1
1
6
1
2
205
1
1
9
1
2
6
1
1
1
3
1
1
2
3
1
1
2
1
3
5
2
3
1
1
1
1
18
2
1
4
1
2
3
2
1
1
2
28
2
1
2
1
2
1
2
2
3
1
1
7
1
1
1
2
2
1
1
3
3
1
2
1
1
1
1
106
5
1
1
5
1
1
2
1
1
2
3
2
3
1
3
2
1
7
1
1
2
137
1
2
1
1
3
1
2
2
2
3
4
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
2
5
3
1
1
1
1
1
3
1
1
2
1
1
1
1
2
2
2
3
1
1
1
1
3
1
1
1
1
1
232
194
32
1
1
11
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
7
5
2
3
1
1
2
2
1
1
1
2
35
1
1
1
2
7
1
1
2
1
1
2
2
1
1
1
2
1
4
1
1
1
79
1
5
1
2
1
2
19
7
1
1
1
2
5
1
1
2
1
1
5
1
1
1
1
1
1
3
3
12
2
15
1
1
1
2
1
1
1
4
2
1
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
3
2
6
1
1
1
1
2
1
2
1
3
2
1
9
1
4
4
1
1
3
36
6
4
89
8
4
1
1
7
7
1
3
2
1
1
1
8
1
5
1
2
1
2
1
1
2
1
4
1
1
1
1
1
2
2
1
4
1
1
2
10
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
25
2
1
1
1
1
3
1
1
7
1
1
1
2
1
1
1
1
23
3
3
1
3
2
1
1
1
2
2
1
4
2
1
2
6
1
1
1
1
2
1
1
1
8
2
1
1
2
1
1
1
1
2
2
1
1
14
1
2
1
1
2
2
2
1
1
1
1
1
2
18
1
2
1
13
4
1
3
1
1
1
1
1
1
2
1
3
2
1
2
1
1
9
5
3
1
6
7
1
5
1
3
1
5
3
2
38
14
1
1
1
1
1
1
2
7
1
1
1
1
6
1
1
4
2
13
12
2
1
1
1
2
2
19
4
1
1
1
3
1
1
1
2
1
1
1
1
1
4
1
1
1
2
1
2
12
2
1
2
1
1
1
1
4
1
1
2
1
2
1
2
3
7
1
1
60
1
3
2
1
1
1
2
1
3
2
3
1
1
1
2
3
1
2
1
10
1
2
1
5
2
7
640
278
564
1
1
1
17
1
2
1
1
1
1
4
2
9
52
29
30
9
1
1
1
1
2
50
44
34
2
11
1
1
1
6
39
9
6
2
1
1
1
1
2
8
3
2
3
2
1
1
2
1
2
1
1
2
1
2
1
1
1
2
1
1
1
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
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
7
1
3
1
1
1
1
1
1
3
1
1
2
1
2
1
2
2
1
1
3
1
2
2
1
1
1
3
1
1
1
1
2
1
2
1
1
2
2
1
2
1
1
2
1
2
2
1
1
7
1
1
1
2
1
5
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
3
3
7
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
2
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
3
3
3
2
1
5
1
2
1
6
2
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
7
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
103
2
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
6
5
1
2
2
1
1
1
1
1
4
2
1
2
1
1
2
2
2
1
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
14
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
20
3
3
2
3
1
2
2
1
1
2
2
1
2
1
1
6
1
1
3
1
1
1
19
2
1
2
1
1
1
1
2
1
1
1
1
1
361
337
34
1
232
1
1
1
1
577
1
1
1
250
1
1
9
3
1
1
1
1
7
2
1
1
1
1
8
1
2
1
1
2
1
1
1
1
2
2
1
2
1
1
2
1
1
1
1
3
2
4
3
17
2
2
1
6
1
2
1
1
1
1
4
3
2
1
1
3
1
1
4
5
3
167
77
3
1
1
1
1
4
3
1
2
1
1
1
2
2
1
14
1
2
1
1
3
2
1
3
1
5
1
1
1
1
2
1
10
4
3
4
24
1
1
1
1
1
34
1
1
1
1
3
1
1
1
2
8
1
2
3
1
1
2
1
1
1
1
7
1
1
3
2
2
1
2
8
1
3
3
3
1
2
1
2
4
1
3
2
10
1
12
1
30
1
9
2
8
1
4
4
1
1
4
1
2
2
1
1
3
1
2
1
1
1
1
2
1
2
78
1
1
1
6
1
1
1
4
1
2
24
16
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
2
1
3
2
1
1
7
5
3
2
6
2
13
4
4
4
1
3
1
1
1
2
2
1
2
1
2
1
1
1
2
1
2
3
1
2
1
24
3
1
3
1
1
2
1
1
2
1
1
5
1
3
1
2
1
2
1
2
1
4
1
29
1
2
1
1
7
3
1
109
9
1
1
3
1
1
3
1
3
2
2
1
1
1
1
2
2
1
1
1
1
2
5
1
2
4
1
1
1
2
1
1
1
1
12
1
3
6
1
4
1
1
8
3
13
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
6
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
2
3
1
1
1
9
1
1
1
9
6
8
4
1
9
5
2
3
1
2
1
1
1
1
19
2
12
1
1
2
1
8
1
1
2
1
1
9
2
2
1
1
67
2
1
1
2
1
31
1
2
1
2
1
1
1
1
1
1
1
2
1
2
7
1
1
5
1
1
1
1
2
1
1
1
1
1
2
11
1
1
1
1
1
1
1
1
1
1
7
1
19
1
1
1
1
1
2
5
1
1
2
1
1
8
1
89
94
40
1
1
1
882
1300
1
1602
1
1
2
1
2
71
14
42
1
12
4
1
1
10
1
2
1
2
1
1
1
2
10
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
2
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
7
2
1
22
1
2
1
1
1
2
8
2
2
1
1
1
1
1
1
3
1
3
1
1
1
2
9
14
1
1
1
1
1
1
1
6
40
15
1
1
3
1
1
3
1
3
2
1
1
1
1
1
1
1
5
1
1
2
1
11
9
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
7
1
1
3
1
2
1
2
2
3
1
1
1
3
1
1
2
1
4
2
3
1
1
1
4
2
43
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
10
2
1
1
1
1
1
1
4
4
1
2
1
1
1
1
1
1
1
1
1
4
3
1
1
3
1
1
1
1
1
4
1
2
1
1
1
1
1
1
3
1
5
3
1
2
1
1
1
2
1
1
2
2
2
4
2
1
1
2
1
1
1
1
1
4
2
1
1
1
3
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
4
1
5
1
3
2
1
1
1
2
1
1
1
1
1
5
1
1
1
1
7
1
1
1
2
1
2
3
1
3
2
1
2
2
2
2
1
1
1
19
1
3
2
1
1
1
2
1
1
1
2
1
2
1
1
1
3
6
1
1
1
1
1
3
1
2
2
9
2
1
3
1
1
2
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
2
3
9
1
1
4
1
1
1
1
3
4
8
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
47
1
1
1
2
1
1
16
30
3
3
1
3
2
3
1
1
1
1
1
8
2
2
2
1
3
1
1
3
1
1
1
3
2
1
3
9
1
1
2
13
1
3
2
23
4
1
2
1
1
3
1
1
731
2
1
4
2
1
1
1
1
1
1
3
1
4
1
1
2
1
3
2
5
6
10
1
2
18
1
2
2
1
1
1
6
1
12
1
1
1
1
6
3
2
1
2
8
1
1
194
175
1
1
1
2
1
1
3
2
1
3
2
8
4
19
2
2
1
1
2
2
1
3
4
1
1
10
1
1
2
1
2
1
5
1
2
1
3
8
1
13
1
2
1
1
1
6
2
3
2
3
1
1
1
1
2
19
1
3
1
1
1
2
6
1
1
1
1
1
1
1
3
28
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
22
1
1
1
1
4
5
2
2
1
4
2
2
1
3
1
11
2
1
34
1
1
1
4
1
1
1
1
4
1
3
5
7
1
2
7
2
1
3
2
3
1
1
1
2
1
36
1
1
2
1
1
2
1
75
1
2
10
1
1
1
2
72
4
6
3
2
2
2
1
1
31
1
1
1
1
2
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
2
1
1
5
2
8
1
1
1
1
7
4
1
1
3
14
8
1
2
1
1
1
1
151
28
1
2
1
1
1
1
57
1
1
1
3
1
1
1
2
1
2
2
1
5
1
1
1
1
1
4
1
37
12
2
1
1
1
1
8
1
2
1
2
2
