300
200
100
139
226
283
153
146
300
1198
33
100
100
836
263
19
1
1
236
114
200
207
242
291
300
1
293
300
197
300
37006
512
300
35
61225
100870
335562
302
13526
300
18
100
1871
282
289
265
24
198
8743
1419
300
297
300
290
276
300
3562
1
300
1
276

1119
5
1
2
2
1
2
6068
1
1
1
163
1
225
1
6
1
1
1
95
3
1
3
1
12
1
1
1
16
1
1
2
1
1
1
1
34
2
11
6
4
1
396
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
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
1
1
2
1
1
1
1
1
1
10
1
1
1
31
1
1
1
1
1
2
21
3
21
5
1
1
1
1
1
1
1
3
16
1
1
94
1
2
3
1
1
109
1
1
5
1
1
1
1
7
1
1
1
1
362
1
7
1
1
3
1
2
12
1
1
45
1
2
1
13
1
1
1
1
1
1
1
1
2
3
1
1
10
14
1
2
1
2
1
1
1
1
1
1
337
1
1
1
4
95
3
2
1
1
1
8
6
10
1
3
1
2
13
1
1
2
1
4
111
1
1
1
1
1
4
3
12
1
2
1
3
1
1
1
1
10
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
3
2
1
2
1
1
1
922
1
1
3
1
1
1
1
1
403
1
1
3
1
1
1
1
1
2
1
3
4
4
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
54
2
3
1
1
1
1
1
1
1
35
1
5
1
1
1
7
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
55
1
1
1
3252
8
1
1
1
2
1
3
1
2
2
1
2
1
1
3
1
1
1
1
4
2
1
4
1
1
1
3
1
18
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
6
1
1
1
1
1
107
2
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
2
3
2
1
2
5
1
1
3
3
3
1
1
1
1
3
1
8
1
1
4
1
2
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
19
1
7
3
6
14
1
4
1
1
1
1
241
1
2
2
1
1
4
1
1
1
1
1
10
1
1
1
1
1
6
4
1
1
1
1
1
1
1
1
1
1
2
2
4
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
2
1
2
2
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
4
2
1
2
1
3
1
1
1
1
2
2
4
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
2
3
1
4
2
1
1
1
7
1
1
2
1
1
1
4
2
2
1
1
1
1
1
1
1
3
1
1
3
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
2
4
1
2
1
1
1171
1
1
1
1
1
1
1
1
1
12
1
1
1
3
2
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
8
1
1
1
1
1
1
48
1
1
2
2
6
1
1
4
18
1
1
1
1
3
1
1
2
1
1
1
1
6
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
4
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
9
3
1
1
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
20
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
10
1
1
1
1
1
1
1
2
2
1
1
2
1
2
1
2
1
6
2
5
1
1
3
1
1
3
2
1
2
8
1
1
1
1
1
2
1
1
4
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
23
1
2
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
4
1
1
1
1
1
6
1
1
1
1
1
1
2
2
1
5
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
3
8
2
1
2
1
22
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
2
2
1
3
8
1
5
1
1
1
1
1
1
3
1
3
1
1
1
1
2
4
1
371
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
3
1
61
1
1
1
1
1
1
2
1
2
1
2
4
2
9
1
1
1
1
1
1
1
1
1
5
1
2
1
1
31
1
1
1
1
58
1
1
1
1
1
1
2
4
1
1
1
11
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
6
8
2
1
15
1
1
1
1
1
1
3
1
1
1
128
1
1
1
10
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
9
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
2
30
1
1
2
1
1
2
2
1
4
3
1
1
1
1
3
24
295
5
1
1
1
7
1
1
1
1
1
1
1
3
1
2
1
3
6
1
1
4
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
9
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
8
1
1
1
1
1
10
1
5
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
26
1
1
1
2
1
1
1
1
15
2
1
1
1
1
1
1
2
1
1
1
1
16
1
2
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
4
2
1
1
1
1
1
3
2
1
3
1
5
1
1
1
1
4
1
1
2
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
8
2
6
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
6
2
1
1
1
1
1
10
1
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
6
9
1
1
2
1
1
1
1
1
5
1
1
4
1
1
1
1
2
3
3
4
1
1
4
1
2
1
1
1
7
1
1
1
1
2
3
1
1
9
1
1
2
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
2
1
5
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
2
6
1
1
3
2
1
1
1
2
3
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
96
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
12
6
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
474
4
1
11
5
3
1
1
7
2
3
9
2
1
1
1
1
2
1
1
3
1
1
3
2
1
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
153
146
1
1
1
3
4
1
1
1
1
1
7
1
1
1
1
1
2
1
3
2
1
1
5
1
10
1
1
66
1
1
2
1
2
1
1
1
1
1
2
580
5
62
13
1
1
1
1
1
2
1
4
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
15
1
5
1
1
1
2
1
1
2
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
2
2
1
3
2
2
1
1
1
1
9
1
1
1
1
1
1
1
7
14
1
3
2
1
1
1
1
5
1
1
5
1
1
1
1
2
1
1
1
1
7
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
5
12
1
2
1
1
1
1
1
2
40
1
1
3
1
1
2
1
1
1
1
1
19
2
5
1
1
1
6
1
1
1
1
3
1
1
1
1
1
4
1
1
1
3
1
1
1
2
1
1
16
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
2
1
1
1
1
2
1
1
10
1
1
1
1
2
1
1
1
1
1
8
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
4
1
1
1
3
1
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
34
1
1
1
1
2
1
2
10
1
1
11
3
1
1
1
1
4
1
1
1
1
11
1
1
2
5
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
2
2
1
9
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
3
1
9
1
1
4
1
1
1
1
1
1
2
1
1
1
1
2
3
2
25
27
1
2
8
1
2
1
1
1
19
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
4
1
1
5
3
1
4
1
2
1
1
1
1
1
1
26
1
1
2
1
1
1
1
1
1
3
1
7
1
2
3
1
1
1
1
16
11
1
1
2
4
1
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
4
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
2
1
1
1
1
1
4
1
1
3
1
9
1
1
5
2
1
1
3
3
2
2
1
1
1
1
2
1
1
2
1
3
1
3
1
1
1
2
3
1
1
1
7
1
1
14
1
1
1
3
2
1
1
2
1
224
319
91
1
1
13
1
2
3
27
1
2
1
1
1
5
1
2
1
1
4
1
1
1
6
1
3
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
2
1
1
1
1
2
1
3
1
4
1
5
1
2
1
1
1
75
537
2
2
3
1
1
1
2
1
1
3
1
3
1
1
1
1
1
1
3
2
7
34
1
14
1
1
1
1
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
2
5
2
1
1
4
1
2
1
1
7
1
2
2
1
1
1
1
6
1
1
1
1
1
1
2
2
3
1
1
2
3
1
1
1
1
1
4
1
1
1
2
15
1
5
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
6
5
1
1
1
12
1
1
5
7
8
11
1
9
200
4
10
103
1
1
22
1
1
3
1
9
1
1
1
4
3
1
1
1
1
1
1
373
1
1
1
100
7
1
1
1
980
15
32
8
1
1
4
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
51
1
1
1
1
1
1
1
2
1
1
1
5
1
1
349
192
1
1
1
1
1
31
1
1
1
2
2
95
1
2
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
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
10
1
1
1
1
1
1
1
1
2
2
1
1
1
3
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
44
1
1
1
1
1
1
1
1
1
3
1
1
1
1
20
1
1
2
17
1
1
2
1
2
1
1
1
1
1
2
1
3
1
1
1
1
2
1
13
1
1
1
1
1
1
2
1
2
1
121
1
2
3
1395
4
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
9
9
1
3
15
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
2
1
9
1
1
1
2
1
1
1
3
2
1
41
14
79
1
1
1
6
1
1
5
17
46
14
13
1086
435
1
4
1
1
5
1
1
2
1
1
5
12
1
1
1
26
1
4
2
42
2
3
1
2
38
5
1
14
5
13
1
5
5
3
1
961
1
954
1
19
2
2
3
153
1
1
1
11
1
9
1
2
12
21
3
18
2
5
3
10
3
1
2
1
1
1
2
1
1
101
3
1
1
2
4
1
1
3
1
1
1
1
1
1
1
1
1
38
1
1
2
1
2
1
1
2
1
1
1
4
1
3
1
3
2
2
2
1
1
1
2
1
27
1
1
1
1
219
1
1
16
1
1
2
54
1
1
1
1
1
1
1
1
1
1
1
1
8
1
2
1
1
1
3
1
1
1
1
1
10
1
1
1
1
1
10
1
1
3
2
1
1
2
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
9
1
1
2
3
1
1
1
2
1
2
1
5
1
2
2
5
3
1
2
2
1
4
1
1
2
3
1
1
1
1
2
16
2
1
1
2
1
2
2
1
8
2
1
1
1
1
17
1
5
1
1
2
1
1
1
1
32
2
1
1
1
14
1
1
1
2
2
1
1
1
1
1
1
1
1
88
1
1
3
1
1
1
1
1
4
1
2
1
1
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
2
1
14
1
1
1
658
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
107
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
7
1
3
1
1
1
1
1
1
2
1
2
1
63
1
1
1
1
2
1
1
1
1
1
1
1
1
15
5
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
1
1
2
1
23
1
3
1
6
1
1
1
1
1
1
1
11
1
1
7
4
1
1
1
4
1
1
2
1
1
1
1
1
2
1
1
5
6
1
2
2
3
1
2
1
1
1
1
1
1
1
20
1
1
1
2
27
1
2
1
1
1
1
1
12
4
7
5
1
2
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
3
1
3
2
539
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
2
1
1
3
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
3
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
4
1
1
4
1
2
1
1
2
1
1
6
1
1
1
1
1
1
2
1
1
1
4
3
1
1
1
3
20
1
1
1
2
5
3
1
2
1
17
1
2
1
4
1
2
1
1
2
1
1
1
3
3
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
14
1
1
13
2
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
1
2
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
3
3
2
2
1
1
1
1
1
4
3
2
2
1
3
2
1
1
1
1
2
1
3
1
1
1
1
1
1
4
7
1
1
1
1
1
1
4
1
1
1
3
16
1
1
5
3
1
1
1
4
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
3
1
2
1
1
3
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
2
6
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1152
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
201
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
154
2
1
2
1
1
1
1
1
5
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
15
847
1
1
1
1
1
2
1
1
1
3807
1
1
1
1
2
1
1
1
1
1
622
1
1
1
1
2
1
1
1
1
1
173
1
1
1
2
1
1
6
828
1
1
1
2
1
1
4
1
21
1
1
1
1
7
6
1
1
1
1
48
1
2
1
17
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
13
1
86
19
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
16
5
1
1
1
10
7
2
1
1
1
1
1
1
1
1
1
2
1
2
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
15
1
1
1
1
1
1
1
3
1
1
2
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
10
4
2
25
3
4
1
51
1
1
1
1
1
5
1
2
5
1
1
1
9
1
1
1
23
1
1
1
2
1
1
10
81
1
1
1
8
5
3
1
2
44
1
2
1
5
1
1
49
58
4
2
1
1
2
28
1
7
1
1
1
1
1
523
1
1
1
1
6
1
1
1
4
2
1
1
1
1
1
1
2
1
1
6
223
1
1
1
1
1
1
1
2
1
1
1
2868
1
1
1
1
1
4
1
1
1
238
44
49
1
4
1
1
2
1
1
1
2
1
4
16
1
1
1
1
1
1057
2
20
1
1
1
1
1
1
3
2
1
2
31
1
1
1
1
3
1
8
1
2
1
6
1
1
2
1
1
1
1
2
7
1
1
1
1
1
1
1
9
1
1
3
1
1
3
6
19
119
8
4
3
2
2
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
2
1
1
2
1
6
18
1
1
7
6
3
3
1
1
1
12
1
4
1
1
1
1
1
1
1
1
4
1
3
2
1
12
1
1
1
1
1
1
1
1
8
1
1
2
1
17
1
1
1
3
2
1
124
1
1
55
1
1
3
1
1
15
1
1
12
2751
2
1
5
3
1
1
1
3
1
1
1
1
5
1
4
1
1
1
1
2
1
1
1
1
2
3
4
2
1
1
1
2
1
1
1
4
1
846
1
1
2
24
1
1
1
1
1
2
1
1
1
1
4
1
2
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
5
2
1
2
1
1
1
1
1
1
14
1
1
1
2
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
3
1
1
1
1
1
1
2
1
1
4
1
8
2
1
6
1
1
7
1
6
1
2
1
1
1
1
1
1
4
1
1
1
1
6
1
5
1
1
7
4
2
1
1
1
1
1
1
1
1
1
1
6
6
1
1
5
5
2
34
1
1
2
1
2
1
1
1
1
2
12
1
1
1
1
1
1
1
1
1
3
1
2
1
2
8
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
2
1
1
1
1
5
9
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
4
2
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
21
1
1
1
18
4
1
1
1
4
1
6
3
1
1
6
1
1
1
1
2
2
3
1
1
1
2
740
1
1
22
167
1
43
1
1
3
6
1
1
35
5
4
1
1
1
1
1
178
1
2
1
1
1
1
23
1
1
1
1
1
1
1
1
1
1
1
9
1
1
2
4
1
1
1
1
1
3
1
1
21
10
14
1
1
1
1
1
1
7
3
1
1
2
1
4
1
2
3
1
1
2
5
62
3
1
5
3
1
2
1
5
1
1
1
5
2
3
1
1
1
1
4
1
1
1
3
1
2
5
1
1
1
2
1
1
1
1
1
1
1
1
15
1
1
1
2
1
1
1
1
2
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
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
11
4
2
1
1
2
9796
1
1
11
2
1
1
5
2
3
1
1
1
1
6
1
2
1
1
1
1
1
1
4
1
1
343
19
10
2
1
1
1
1
1
3
2
2694
3
1
63
1
4
2
1
1
1
1
4
2
7
20
1
9
1
5
1
2
1
1
19
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
19
1
49
2
1
1
1
1
1
5
1
1
2
1
3
993
1
1
113
1157
2
1
1
1
151
1
1
1
2
2
1
1
6
5
1
1
2
1
5
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
6
3
1
2
2
2
1
1
1
1
4
1
1
3
34
6
13
2
30
7
1
13
1
1
1
1
1
1
8
1
1
1
1
1
1
9
1
2
1
2
1
1
71
78
2
32
1
1
2
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
4
1
1
1
1
1
1
1
7
1
1
1
1
2
8
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
4
1
1
2
1
1
1
15
1
1
1
5
1
6
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
6
1
1
1
1
1
1
1
2
1
1
1
14
1
1
1
2
1
1
2
1
2
1
1
1
49
1
1
1
1
1
2
4
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
5
2
2
1
2
1
1
6
1
1413
1
1
5
1
18
1
1
1
1
1
1
1
1
2
1
1
1
6
1
4
1
1
52
5
1
1
3
1
1
1
1
4
1
1
1
1
1
6
1
1
3
2
1
1
1
4
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
9
1
1
9
3
1
2
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
3
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
4
1
3
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
7
2
1
1
2
1
1
37
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
12
1
1
1
1
31
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
2
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
2
3
1
24
1
1
1
1
1
1
97
1
1
1
1
1
1
4
1
4
1
1
1
1
1
1
1
1
27
1
1
1
1
11
2
15
1
1
1
1
3
7
1
3
1
6
1
1
1
1
1
1
1
1
2
1
33
1
1
2
11
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
2
13
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
174
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
3
2
8
1
1
1
3
3
1
1
18
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
4
13
4
1
2
1
1
5
1
1
2
1
2
2
62
1
1
1
2
1
2
1
1
2
1
1
2
99
1
1
1
22
3
1
4
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
4
2
2
1
2
3
1
5
1
1
1
2
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
8
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
2
1
1
2
11
1
1
4
1
2
1
1
1
2
1
1
1
1
1
2
5
3
1
1
3
1
1
1
1
2
2
1
1
1
1
2
1
1
1094
2
2
1
7
2
1
2
1
3
8
3
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
1
1
1
1
37
1
6
1
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
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
1
2
1
1
1
1
1
12
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
12
2
1
1
2
1
1
5
1
1
3
1
1
1
1
1
2
1
5
1
2
1
1
1
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
15
2
1
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
2
1
1
1
1
5
1
27
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
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
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
11
4
1
1
5
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
5
1
2
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
2
1
2
4
1
2
1
3
2
1
5
1
1
1
2
1
2
1
1
3
1
1
14
4
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
11
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
2
2
4
1
1
1
1
14
1
1
2
1
1
331
1
3
21
1
3
10
1
2
4
7
3
38
1
2
1
1
1
1
1
2
1
1
2
1
2
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
21
1
11
2
1
1
5
4
1
1
1
1
1
4
5
1
1
1
1
1
1
1
4
1
1
3
1
2
1
1
1
12
1
3
1
2
1
1
2
1
1
1
4
3
4
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
4
1
2
3
1
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
1
1
2
1
1
1
2
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
89
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
10
1
1
1
1
2
1
1
1
1
133
1
1
1
1
10
40
2
2
1
1
4
1446
146
1
1
1
1
1
230
1
1
1
3
5
1
1
1
1
1
1
2
3
1
1
1
3
81
1
1
1
1
1
1
1
5
6
1
3
10
1
1
1
1
9
1
1
1
1
1
11
2
2
3
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
4
1
1
1
3
1
2
9
1
10
1
1
1
1
1
1
1
1
1
1
3
1
1
556
62
12
1
1
1
3
3
13
2
12
1
1
1
1
4
1
2
2
2
1
4
1
9
1
23
3
1
1
17
2
2
7
57
1
51
113
1
1
1
1
1
1
6695
1
1
1
1
1
97
1
1
2
186
6
1
2
2
1
2
1
5
2
1
1
1
1
2
65
1
1
1
1
2
1
2
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
13
9
4
47
1
1
1
1
1
1
1
1
3
26
1
10
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
3
1
1
1
3
3
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
10
1
1
2
2
5
30
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
1
1
3
1
1
1
3
4
1
1
1
1
2
6
1
1
1
1
1
1
326
205
1
1
1
50
5
14
1
1
1
36
3
1
2
1
1
3
1
1
1
1
1
8
1
1
1
1
1
1
1
34
3
4
2
1
1
1
1
1
1
4
1
1
1
1
1
19
2
445
1
1
1
1
1
2
1
18
1
1
8
1
1
6
5
3
10
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
1
1
1
102
1
1
2
2
2
1
1
1
3
83
1
1
3
2
1
2
1
3
22
5
3
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
3
2
1
1
1
1
2
1
67
1
1
1
4
1
2
1
1
1
4
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
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
4
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
20
2
1
234
1
1
36
47
4
1
1
5
2
31
2
1
3
1
2
2
2
4
1
11
1
35
12
1
1
5
1
1
1
3
1
24
5
13
1
23
1
1
2
3
1
1
1
13
6
1
18
1
2
1
2
1
1079
2
2
2
2
1
3
3
2
1
2
1
2
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
2
7
1
1
1
10
2
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
3
5
36
7
1
1
1
15
1
1
22
5
1
1
1
7
7
1
1
1
1
1
3
164
168
1
1
3
1
2
1
1
1
1
1
1
1
1
109
3
1
1
4
22
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
6
1
2
1
3
1
1
1
1
18
8
1
1
1
1
1
1
1
1
23
1
2
1
7
1
1
1
1
2
1
1
1
1
1
6
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
10
1
1
1
1
2
1
3
1
1
1
1
1
7
1
12
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
2
4
1
1
1
8
1
1
1
1
1
1
2
1
1
1
1
1
1
3
10
1
1
1
2
1
4
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
3
1
15
1
1
5
1
1
1
1
1
1
1
1
1
3
2
4
1
1
1
1
82
1
1
11
1
1
1
1
1
2
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
78
1
4
1
3
1
1
2
1
11
3
1
1
1
1
1
6
1
1
1
5
1
1
1
1
1
2
17
1
1
1
3
1
5
1
1
1
1
1
1
1
6
1
4
1
1
1
1
7
1
2
1
1
1
2
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
26
4
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
2
3
2
1
1
32
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
1
3
1
1
25
1
5
1
1
1
1
3
2
1
1
1
1
1
4
2
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
2
2
1
4
1
2
1
1
16
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
11
2
1
1
3
1
1
5
1
4
1
5
1
1
2
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
7
1
2
1
2
8
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
5
7
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
4
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
13
1
1
1
12
2
2
1
6
1
6
5
1
3
7
1
2
1
14
1
2
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
27
1
1
21
1
1
1
12
1
707
1
2
1
1
1
5
1
27
8
2
2
2
2
1
1
4
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
2
4
1
2
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
17
63
48
1
1
1
1
1
1
9
5
3
2
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
2
1
1
1
1
2
1
2
1
4
1
1
1
1
1
1
1
15
1
1
1
1
1
31
5
1
1
2
1
7
11
1
1
49
2
1
1
1
3
1
1
1
2
1
1
1
3
29
1
1
1
26
14
2009
1
7
3
2
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
1
4
1
5
1
1
1
1
1
1
3
1
1
19
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
43
1
1
1
1
1
6
11
1
5
2
11
1
25
2
1
2
1
1
1
1
1
1
2
1
1
5
3
4
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
8
2
2
1
4
2
1
3
2
1
1
1
1
1
2
2
527
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
2
1
1
1
1
1
5
5
1
13
1
1
1
1
3
4
1
1
1
8
1
1
1
1
1
1
1
1
1
2
1
1
1
1
127
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
2
1
1
11
74
3
1
3
1
2
1
6
2
1
2
1
56
1
3
1
1
1
1
1
2
89
166
1
1
6
1
1
1
1
1
1
3
1
6
1
4
1
4
2
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
1
1
1
2
1
1
6
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
1
1
3
1
1
1
2
1
2
1
1
10
1
1
1
1
1
2
1
1
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
2
1
1
1
1
1
17
1
1
1
1
24
1
2
10
2
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
7
8
3
1
5
47
1
1
1
20
2
1
1
2
14
15
1
1
9
1
1
286
1
1
1
2
1
1
1
1
12
1
1
1
3
1
1
1
5
1
1
2
8
11
1
1
1
14
1
105
2
1
7
9
1
1
1208
655
6
1
2
1
4
1
1
1
2
1
1
10
1
1
167
3
1
1
1
1
5
1
1
3
1
1
1
4
2
10
1
1
1
1
294
1
3
5
1
2
1
1
2
1
3
1
6
1
2
1
3
1
2
1
1
1
1
1
2
2
2
1
1
10
5
1
1
1
1
1
8
1
1
25
1
1
1
2
1
1
1
1
1
1
3
1
23
1
5
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
18
1
1
1
1
1
1
1
1
1
10
2
12
1
1
1
1
6
1
1
2
1
1
1
1
1
1
1
1
3
2
2
1
104
68
4
1
1
1
2
1
2
1
4
1
3
1
1
1
1050
2
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
52
24
1
4
2
1
1
1
1
1
1
1
1
1
7701
601
41
1
1
1
1
1
1
1
1
1
1
40
1
2
2
1
1
1
4
1
2
14
2
20
2
4
2
4
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
1
3
2
2
5
2
5
1
1
1
1
4
6
1
8
1
1
1
1
3
63
1
1
117
1
1
2
1
1
1
1
55
1
1
19
7
1
1
217
1
1
1
88
1
14
1
6
2
4
1
1
4
1
64
1
1
1
1
2
1
9
2
3
1
6
1
14
1
1
1
1
2
1
2
2
2
2
1
1
1
1
1
1
3
1
1
18
1
1
1
1
1
2
1
1
3
1
1
2
1
1
2
1
2
1
6
2
1
1
16
1
1
7
2
1
1
1
10
1
1
1
1
1
1
1
349
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
3
1
375
2
1
2
1
1
1
2
1
1
2
2
1
2
1
1
1
10
1
8
1
1
6
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
3
3
1
1
2
2
3
4
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
4
3
3
1
1
2
1
1
1
1
1
4
2
1
1
2
1
9
1
1
1
1
1
1
1
120
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
6
1
1
2
1
1
3
1
6
1
4
1
1
6
192
1
1
4
1
1
1
1
4
1
1
4
1
1
1
1
1
1
1
1
2
2
1
1
1
22
1
7
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
122
1
1
1
1
1
1
168
1
10
17
2
3
1
1
1
3
4
1
1
3
1
1
38
1
1
2
1
1
1
1
1
1
5
1
3
2
1
1
4
2
3
1
1
1
1
3
1
1
1
1
1
9
1
1
2
1
1
32
2
4
1
2
1
1
2
1
1
2
1
1
6
1
1
70
1
1
2
1
1
1
1
3
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
1
6
1
1
1
2
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
2
1
1
6
1
1
7
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
2
1
32
8
1
1
1
2
1
1
1
4
1
1
2
1
1
3
1
1
2
1
1
1
2
1
1
1
2
9
1
1
6
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
2
1
1
3
1
1
1
1
32
3
1
1
3
1
1
1
2
123
1
1
1
1
1
1
1
1
1
1
20
10
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
7
1
3
1
1
1
1
1
1
5
2
1
1
2
1
1
1
1
1
1
1
1
1
30
1
9
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
68
1
50
5
1
1
1
1
1
3
1
1
1
1
3
5
1
2
1
1
3
3
2
1
1
1
5
1
2
1
1
2
1
1
1
1
1
417
1
1
1
1
1
1
2
1
1
2
1
2
1
1
2
2
1
1
1
1
2
1
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
204
18
1
1
1
80
1
1
1
1
2
1
114
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
2
1
1
1
11
7
1
1
1
1
1
1
6
1
4
2
7
1
2
2
3
2
27
1
9
1
2
4
1
2
1
1
2
2
1
2
5
35
1
2
2
2
1
1
1
6
1
1
1
5
1
2
1
1
1
32
2
1
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
5
1
1
4
3
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
3
2
1
9
1
1
1
1
2
1
10
1
1
3
5
1
1
1
1
1
2
1
1
23
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
2
5
1
2
1
1
1
1
1
1
2
1
1
2
3
1
1
1
1
1
40
4
1
1
1
21
1
1
1
1
1
1
1
1
3
2
4
2
2
1
13
1
1
1
1
2
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
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
5
5
1
1
1
1
3
2
2
2
3
1
1
1
1
1
1
1
1
1
1
1
17
1
2
1
1
1
4
1
1
1
1
1
123
6
1
2
2
120
1
1
1
8
1
1
44
17229
1
1
1
141
15
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
2
1
2
1
1
1
5
1
47
1
973
84
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
2
1
1
1
1
1
1
1
1
2
4
1
2
1
1
495
11
2
1
1
1
1
4
1
1
1
1
10
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
10
1
2
1
1
1
1
1
2
2
1
3
1
1
1
2
1
1
1
1
2
2
1
1
1
5
1
1
1
2
1
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
4
1
10
1
1
4
1
1
2
1
1
35
4
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
109
1
1
15
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
11
1
1
1
6
63
1
63
4
1
2
1
2
1
1
1
1
1
1
1
2
1
19
1
178
1
6
1
8
1
6
4
4
2
1
4
1
2
15
1
1
14
1
1
4
1
1
1
1
1
2
3
1
2
1
1
2
24
1
3
1
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
2
1
13
1
1
211
6
1
1
20
3
1
11
1
4
1
3
1
1
1
3
2
4
4
17
11
1
1
1
2
1
1
1
2
1
2
4
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
3
6
1
13
1
2
1
1
7
1
1
1
2
1
1
1
1
4
1
1
1
1
1
2
1
2
3
1
5
1
2
1
1
1
4
1
1
10
1
1
5
1
2
1
1
1
1
1
1
12
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
2
1
1
31
2
1
1
1
3
2
2
1
1
2
1
2
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
1
1
2
7
1
1
3
1
1
14
1
1
1
4
2
2
33
1
1
1
1
1
1
1
1
1
1
1
2
1
2
34
7
2
1
157
4
1
1
1
3
3
1
1
1
1
5
7
1
1
1
7
1
1
1
1
1
2
3
1
1
1
1
1
56
1
1
9
1
2
2
1
18
1
1
8
1
1
1
1
1
1
3
1
1
8
1
12
13
2
1
25
2
8
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
29
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
1
1
1
2
1
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
16
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
4
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
82
1
29
2
2
3
1
1
1
1
1
1
14
1
1
20
1
1
1
1
1
2
1
161
1
1
2
15
2
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
14
1
1
2
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
13
1
1
447
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
2
4
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
16
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
2
1
1
3
1
1
1
1
2
1
1
3
1
1
8
1
2
1
1
1
17
1
466
5
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
144
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
8
1
1
1
1
2
1
5
1
1
1
1
1
1
1
8
13
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
4
1
2
1
1
1
2
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
1
2
1
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
2
11
6
1
2
1
1
1
1
1
1
1
5
5
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
9
1
2
15
5
1
1
1
1
1
1
2
1
1
1
24
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
13
15
1
9
1
1
2
1
1
1
1
1
1
24
1
1
1
2
2
1
2
3
1
1
1
12
42
13
1
63
1
1
15
1
3
1
1
1
60
1
1
4
1
13
1
1
1
1
1
1
1
1
20
1
1
1
1
127
1
1
1
2
1
1
1
1
1
2
1
1
1
6
1
1
2
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
2
1
3
2
9
1
1
1
1
3
1
1
1
2
1
1
1
5
1
18
2
1
16
1
1
1
1
1
4
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
96
1
6
1
47
1
1
1
11
1
1
1
1
2
1
1
2
1
1
1
1
1
10
1
1
1
2
1
1
1
1
1
2
4
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
129
1
8
1
1
1
1
1
1
1
2
1
2
95
49
16
24
1
1
1
28
1
2
2
2
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1545
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
2
1
1
1
1
1
1
1
5
1
2
1
868
5
1
8
37
35
1
1
1
4
1
5
49
8
4
2
1
1
3
122
40
1
3
197
1
11
5
1
3
4
8
1
1
1
2
1
1
53
1
1
1
1
286
1
1
1
1
2
1
4
1
1
1
1
1
1
18
3
1
1
1
1
1
1
2
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
5
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
2
1
1
3
2
18
4
1
2
1
2
3
1
1
1
1
2
8
1
1
18
1
2
333
3
1
1
1
128
794
1
1
1
325
1
1
1
1
13
1
2
5
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
5
1
7
1
1
1
1
1
1
10
3
1
3
1
2
1
28
1
1
2
1
1
2
1
8
1
1
1
1
1
2
7
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
3
1
1199
635
2
1
1
2
2
1
55
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
6
1
1
3
7
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
377
1
2
21
7
1
1
1
1
1
1
2
3
1
1
1
1
1
19
1
1
2
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
9
1
5
1
1
1
9
2
1
1
1
1
5
3
1
3
1
2
1
1
3
1
1
2
1
1
13
1
1
1
5
1
1
4
1
1
4
1
1
6
4
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
2
2
1
49
1
1
1
3
1
1
2
1
1
1
2
1
6
1
8
2
3
2
2
1
1
1
1
2
28
2
1
1
1
5
1
1
1
2
1
1
6
1
1
1
1
1
1
3
2
3
1
1
1
3
1
1
39
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
4
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
6
1
1
1
1
2
2
1
1
1
1
1
1
2
2
1
1
1
1
2
1
4
1
1
1
3
1
1
1
3
3
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
30
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
52
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
7
1
1
5
1
1
1
1
1
1
234
113
1
5
1
1
2
1
1
1
1
1
131
1
1
2
1
10
1
1
14
1
1
1
1
1
2
6
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
2
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
2
1
1
6
3
1
1
1
4
1
1
3
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
8
1
12
1
1
1
276
4
2
1
48
1
2
1
1
98
1
2
1
1
1
1
1
1
180
2
1
1
1
1
6
2
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
17
1
1
6
2
1
1
7
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
64
1
1
2
1
1
1
4
1
1
1
1
2
1
2
3
7
761
1
1
1
1
1
2
1
1
1
1
1
4
13
25
5
9
16
1
1
5
1
1
1
3
8
2
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
3
3
1
1
1
11
2
1
1
2
3
3
1
1
1
1
2
1
1
4
2
1
1
6
1
1
1
1
3
49
4
2
1
2
3
4
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
2
3
19
1
1
1
1
1
6
2
1
2
6
1
1
2
1
1
1
1
2
13
2
2
3
11
1
1
2
1
1
1
1
4
116
1
1
1
3
1
1
1
2
1
1
3
220
1
1
1
1
1
4
1
1
35
2
1
1
6
4
1
2
1
6
1
5
2
1
4
1
6
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
4
1
1
1
1
4
2
1
10
1
1
2
3
1
1
5
1
1
1
1
1
1
4
1
1043
1115
3
1
1
1
1
1
1
1
1
1
1
20
1
2
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
2
1
2
112
5
1
1
1
1
1
1
4
1
1
1
2
1
2
5
9
1
346
1
1
1
8
2
1
1
1
1237
1
1
1
1
1
1
1
1
2
1
161
1
1
4
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
4
1
2
1
1
1
1
2
1
1
1
2
1
3
1
1
7
1
1
1
1
1
1
2
1
1
2
1
1
1
11
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
49
1
3
16
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
2
2
1
2
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
2
1
1
2
1
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
2
242
1
1
1
1
1
1
2
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
3
1
1
1
1
1
1
2
1
2
1
2
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
3
1
1
1
4
1
1
2
1
1
1
1
1
1
1
7
7
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
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4888
644
9
1
2
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
1
1
1
7
85
5
4
1
88
33
311
172
15
1
2
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
12
3
2751
8
2
1
615
114
12712
1
3
754
219
83
28
23
1
1
2
1
12
2
7
14
10
2
1
43
2
1
3
4
42
5
100
1
3
2740
242
4
4
3
184
1
1
2
3
1
2
1
2
1
1
1
2
6
1
1
1
1
2
6
1
20
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
19
1
1
1
1
1
1
2
3
157
1
1
3
2
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
3526
1
1
1
1
1
48
3
11
5
7
4
4
24
1
1
1
1
1
1
1
13
15
1
37
1
2
1
1
1
1
4
1
1
1
1
5
3
2
1
2
1
1
1
1
1
1
3
1
1
1
1
3
10
1
1
1
2
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
4
1
1
5
1
4
1
1
1
1
1
2
1
1
1
1
1
2
2
3
1
1
1
2
1
7
4
2
1
1
1
1
1
1
3
1
1
1
4
8
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
13
1
1
1
13
1
1
1
1
1
1
1
1
4
1
2
1
1
1
3
2
1
4
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
1
1
1
1
1
1
2
2
5
2
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
3
1
2
93
1
1
1
7
79
1
1
1
1
2
2525
1322
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
2
2
1
4
1
2
1
1
1
1
2
1
1
1
10
2
2
1
1
4
2
1
1
1
1
1
1
1
1
5
36
2
9
1
1
1
1
1
2
1
3
6
3
1
2
1
4
1
4
1
1
1
1
1
2
2
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
3
2
1
4
1
2
6
1
4
1
2
1
1
1
5
1
1
1
3
1
1
3
13
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
2
1
3
20
1
2
1
2
1
1
1
1
1
1
31
1
1
1
1
5
7
1
9
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
2
1
1
1
1
2
1
12
2
27
1
1
21
5
1
1
1
1
1
11
1
1
1
1
1
1
3
3
4
1
1
1
1
3
1
5
1
6
1
3
1
2
1
1
1
1
1
1
3
44
1
73
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
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
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
2
1
9
1
1
9
1
1
1
1
1
3
3
1
3
1
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
1
11
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
16
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
2
1
1
4
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
1
144
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
3
1
1
7
2
1
1
1
1
1
1
1
1
1
1
1
1
1
17
8
4
1
2
1
10
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
16
7
1
2
1
14
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
3
1
21
1
1
5
1
1
4
2
1
1
1
2
1
2
1
3
2
1
3
1
1
1
1
1
1
2
1
6
2
2
1
1
3
2
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
21
1
1
1
1
2
2
1
1
1
1
1
1
1
4
4
1
1
1
2
10
1
1
3
1
1
4
1
3
1
1
1
1
1
1
1
3
1
1
2
17
1
1
1
2
4
1
1
2
1
1
5
1
1
3
1
2
1
15
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
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
4
1
1
9
3
11
1
1
3
1
1
1
1
1
1
1
1
9
1
2
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
1
2
1
1
1
1
2
2
1
1
1
2
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
314
1
2
1
1
1
2
1
1
1
1
1
3
1
2
2
1
1
2
5
1
1
3
4
2
3
1
3
1
1
3
1
3
1
1
1
2
835
555
1
2
36
1
1
1
3
1
1
1
1
647
1
1
4
22
1
12
1
2
1
1
2
1
1
1
1
1
3
1
1
1
39
1
1
3
8
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
26
1
132
323
1
2
1
1
1
1
3
1
1
1
3
2
2
1
2
1
1
1
5
1
1
4
1
4
4
2
8
1
3
2
2
1
1
1
1
1
1
51
1
1
1
1
1
8
5
1
1
2
1
4
2
1
1
4
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1864
1
2
1
1
1
2
1
1
1
2
1
4
1
4
7
1
1
1
1
2
28
1
1
1
1
1
9
1
3
1
2
2
1
3
1
2
2
1
4
1
2
1
3
1
1
3
1
1
1
1
1
2
2
1
2
1
1
1
2
3
1
3
1
1
1
1
1
1
2
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
4
1
1
1
5
22
1
1
5
1
5
1
1
1
1
1
1
2
4
2
1
2
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
4
3
1
2
1
4
1
1
1
1
1
4
1
2
1
1
1
1
2
1
1
1
1
1
6
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
12
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
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
1
1
14
1
2
1
117
34
5
1
2
1
5
9
1
9
1
1
3
4137
13
1
1
1
1
1
2
1
1
1
1
1
1
1
154
3
3
1
1
1
1
1
2
2
2
1
1
8
1
1
1
1
1
5
1
1
1
1
6
8
1
1
1
1
1
1
1
1
1
1
1
4
1
4
1
1
1
1
2
1
1
80
1
1
2
1
1
2
1
4
1
18
1
1
1
2
1
1
1
1
1
1
3
1
1
1
7
6
5
1
2
3
7
9
1
18
1
3
2
1
8
1
3
1
6
1
2
2
1
1
1
1
2
1
1
6
1
1
1
2
2
1
1
1
1
17
2
2
1
17
1
7
1
1
1
1
1
1
1
1
1
4
10
4
8
20
14
13
3
2
141
23
25
3
4
379
1
1
1
1
1
1955
301
1
1
1
2
2
1
1
1
2
1
1
2
1
1
1
1
1
9
1
44
2
1
11
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
9
1
1
2
1
1
5
1
1
2
1
1
1
1
2
1
1
1
42
1
1
1
1
1
1
1
1
1
1
2
7
1
2
1
1
1
58
2
1
48
1
41
1
1
1
1
1
1
1
1
1
2
1
2
1
11
2
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
33
1
2
1
1
1
1
1
1
2
1
3
1
1
1
4
1
1
1
1
1
5
1
1
1
3
2
1
1
1
1
3
1
1
2
1
1
4
1
1
3
14
2
4
1
1
4
1
1
3
1
2
2
1
2
1
2
1
1
1
1
1
3
1
2
1
1
2
1
1
1
1
47
10
1
1
4
1
1
1
1
2
1
1
1
1
1
1
30
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
4
2
95
5
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
3
1
1
1
1
1
1
116
1
1
2
1
5
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
25
2
4
9
3
1
1
1
1
4
8
1
1
1
1
1
29
1
1
1
1
1
1
12
24
2
1
1
17
2
1
2
1
1
1
1
1
1
3
7
4
1
1
1
5
1
1
1
3
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
2
1
4
1
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
2
11
1
2
2
1
1
1
1
1
1
4
1
1
11
8
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
8
1
1
1
1
1
40
10
1
1
1
8
1
1
1
2
1
2
1
3
45
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
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
100
32
1
1
240
1
1
2
1
2
6
1
4
1
1
1
1
1
1
1
5
1
2
1
5
1
1
4
2
1
24
1
113
1
2
1
6
2
14
1
1
1
4
1
1
1
1
1
1
1
1
4
5
1
1
1
1
3
1
1
2
2
1
13
1
1
2
10
1
6
1
20
1
1
1
1
1
1
1
7
1
2
521
1
1
3
1
1
5
1
1
2
1
1
1
1
1
1
100
1
1
1
1
2
1
1
1
2
22
19
2
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
2
1
1
4
3
1
1
1
1
1
1
1
10
1
2
1
1
1
1
1
5
1
1
1
2
5
1
1
2
2
2
1
1
1
1
1
1
2
1
2
2
1
2
3
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
3
1
2
1
1
3
1
1
1
3
1
1
1
5
2
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
1
2
1
3
1
2
7
1
1
1
1
1
1
1
3
2
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
6
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1102
1
1
28
3
77
1
1
2
3
1
6
1
1
1
2
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
4
6
1
1
2
1
1
5
1
1
1
17
1
1
1
2
4
2
1
1
1
1
1
1
1
10
6
1
1
1
1
1
1
6
1
1
15
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
73
1
1
1
1
1
1
13
1
1
1
20
4
6
1
2
1
2
1
4
1
2
1
1
2
2
6
9
1
34
1
1
1
1
1
1
1
3
1
13
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
7
1
1
2
1
1
1
2
1
1
4
1
1
1
29
1
1
1
1
1
1
1
1
2
2
1
1
1
5
1
1
1
2
1
1
1
1
1
1
1
4
2
1
4
1
2
1
1
2
1
1
1
2
31
1
1
1
3
1
1
1
1
2
4
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
2
1
2
1
3
21
1
2
1
1
1
2
1
1
2
2
5
1
1
3
1
2
1
1
1
1
2
1
63
7
2
1
6
2
1
1
3
1
1
1
1
1
1
4
2
1
1
1
3
36
2
1
1
1
1
1
1
2
4
1
3
1
6
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
12
1
1
1
1
1
2
1
6
1
1
2
1
2
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
33
1
3
1
9
7
1
1
1
1
3
1
1
1
1
2
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
3
1
5
1
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
1
2
1
2
1
3
1
1
6
1
2
4
1
1
1
1
1
1
1
1
1
1
2
11
3
2
1
1
3
2
1
1
1
1
1
1
1
6
1
1
1
1
1
4
1
1
1
1
1
1
1
1
7
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
8
1
5
1
1
1
1
6
3
1
1
1
3
3
1
1
1
1
1
1
1
6
1
3
5
1
1
1
4
1
1
1
3
1
2
1
2
1
1
3
1
1
3
1
3
1
1
1
1
1
1
2
1
2
4
1
1
2
2
1
1
1
1
3
1
4
1
1
9
1
1
1
4
1
1
7
1
1
4
1
1
2
1
1
1
1
2
3
9
1
1
1
1
1
1
1
1
1
3
1
2
1
5
2
1
1
1
1
1
1
2
1
2
1
8
2
4
1
1
4
1
1
1
1
1
1
3
2
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
4
1
1
3
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
10
1
1
4
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
4
1
1
1
1
4
1
1
1
1
1
2
2
1
1
3
4
1
1
1
1
1
3
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
1
2
2
2
1
2
1
1
1
4
9
1
1
2
1
1
16
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
4
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
2
1
1
3
1
1
1
3
1
4
1
3
3
1
1
1
1
2
1
1
7
2
2
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
1
2
21
4
1
1
1
1
1
1
1
1
1
18
15
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
5
1
1
5
1
1
1
8
2
1
1
1
1
1
6
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
2
2
4
1
2
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
4
2
1
1
1
1
1
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
1
2
1
2
1
1
1
1
1
1
3
1
1
1968
1
1
1
1
1
2
1
1
4
13
1
1
8
6
1
1
1
1
1
9
1
5
1
2
1
1
2
5
1
1
1
1
1
1
1
7
1
1
1
1
10
2
4
1
2
5
1
2
1
1
1
2
1
1
1
1
1
6
1
1
1
1
1
7
1
1
2
1
4
1
2
1
82
2
1
1
1
1
1
3
1
2
1
1
15
1
3
1
6
1
1
3
1
1
1
2
1
1
93
2
1
1
2
1
1
1
1
1
1
1
1
4
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
2
1
1
2
2
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
4
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
5
1
2
1
3
1
1
19
1
2
1
4
3
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
3
12
1
66
1
1
3
1
3
1
1
1
2
2
2
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
2
7
1
1
3
1
1
1
9
1
2
1
1
3
7
1
1
1
1
1
2
1
1
2
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
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
3
1
1
1
2
9
1
1
1
1
2
1
2
4
2
1
1
1
5
1
1
1
1
3
1
1
1
11
1
2
1
5
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
10
1
1
1
2
1
1
1
1
3
1
1
1
7
7
2
1
59
1
1
6
5
1
1
1
1
1
1
20
1
1
1
4
1
5
1
1
1
1
3
1
1
1
1
3
1
21
2
1
3
2
1
1
1
3
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
14
8
1
1
1
2
1
1
1
1
1
1
6
4
16
2
1
1
1
1
2
1
1
1
1
1
4
12
1
2
1
2
1
1
1
1
1
1
3
1
3
32
1
1
1
3
1
1
1
11
3
1
1
81
11
1
2
1
1
1
1
1
1
4
5
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
25
1
1
1
1
1
1
1
7
1
1
1
9
1
1
1
1
1
1
1
19
1
1
1
1
1
2
1
1
1
4
1
1
1
2
1
1
1
1
7
7
3
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
4
1
1
11
1
6
1
1
1
1
1
1
1
1
1
597
217
1
1
1
2
1
1
1
9
1
5
1
4
3
1
5
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
23
1
2
1
2
1
1
1
1
1
16
1
1
2
1
1
4
1
1
1
1
1
1
1
120
6
3
11
1
1
1
1
1
1
3
18
1
1
2
1
1
1
2
2
134
9
1
1
1
3
1
1
1
3
2
14
4
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
2
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
3
1
1
1
1
1
16
2
1
1
1
2
182
1
1
5
8
1
1
17
1
2
1
1
1
1
1
1
2
4
1
3
1
2
3
2
1
1
1
2
3
2
3
1
1
2
2
1
1
2
1
3
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
4
1
1
1
1
2
1
1
1
1
1
9
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
7
1
6
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
22
5
3
1
3
1
1
1
2
1
1
1
1
1
1
1
4
1
1
4
1
1
36
1
1
1
1
1
20
1
2
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
3
1
16
2
1
1
1
1
1
2
1
2
3
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
3
13
1
1
1
1
1
1
2
1
1
3
2
36
1
1
1
1
1
1
3
9
2
1
1
1
1
1
2
1
1
1
1
1
1
2
37
1
2
1
2
1
1
2
36
1
4
2
1
1
1
2
1
1
1
1
1
1
2
1
3
1
2
1
13
1
31
18
1
1
8
1
1
1
1
1
1
1
1
1
1
14
1
13
1
1
11
2
1
1
1
1
1
1
1
1
1
1
1
1
2
8
1
1
1
1
1
1
4
1
2
1
167
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
4
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
12
2
7
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
4
1
1
2
1
8
3
1
1
1
1
1
1
2
1
1
2
1
1
2
3
1
1
1
1
2
1
1
2
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
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
15
1
1
2
39
2
8
1
34
10064
227
2
5
2
1
1
1
58
4
1
9
1
1
11
1
2
25
1459
689
485
3
1
36
2
5
1
1
1
1
1
1
623
5
50
281
40
19
88
1
2
1
1
127
39
24
63
1
1
1
5
953
65
1
1
5
1
2
1
1
1
1
1
1
1
1
1
4
10
1
1
1
1
12
1
5
1
3
1
1
1
1
2
1
1
1
1
2
1
1
13
1
1
3
1
1
3
7
1
1
1
1
1
1
1
214
1
4
1
158
1
1
2
1
1
1
1
12
18
1
10
1
1
2
6
1
1
24
1
5
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
2
1
2
1
1
1
1
20
1
1
1
1
5
1
1
1
1
1
1
1
1
110
1
1
1
1
1
2
25
17
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
1
1
1
1
1
16
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
2
1
1
4
25
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
45
1
18
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
28
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
12
1
3
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
6
4
2
1
1
1
1
1
1
1
4
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
1
2
3
2
6
1
2
2
1
1
1
1
1
2
2
2
5
8
1
4
1
1
2
1
3
1
1
1
2
2
2
1
1
11
1
1
1
3
1
2
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
4
5
1
1
1
1
1
1
1
1
1
16
1
1
1
1
1
1
1
1
1
2
1
6
1
6
2
1
1
1
1
1
1
1
5
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
19
4
1
1
1
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
1
2
2
1
1
1
3
1
1
1
1
1
1
1
133
45
1
1
8
1
11
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
10
2
1
1
1
1
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
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
2
1
3
2
1
3
56
1
2
2
1
1
1
1
1
1
3
7
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
13
1
2
198
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
5
1
2
6061
207
1
1
3
1
1
1
1
1
3
1
1
1
2
2
1
18
1
1
1
1
2
1
4
1
26
1
1
1
1
2
3
1
7
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
240
1
2
1
10
2
10
1
1
1
2
1
3
205
1
1
72
1
9
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
15
85
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
6
1
11
1
3
1
3
211
4
2
1
1
1
66
33
4
2
12
4
1
1
2
2
1
28
2
1
1
1
1
4
1
3
1
1
2
1
2
1
1
1
1
15
1
31
7
1
2
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
110
3
1
6
30
1
1
4
1
128
1
5
1
1
2
1
21
1
2
1
1
7
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
13
2
1
1
1
1
1
6
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
4
3
1
3
1
1
1
2
1
8
1
1
1
1
5
2
5
808
104
1
1
1
3
2
1
1
1
3
1
1
1
17
1
2
1
20
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
95
1
1
1
2
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
41
1
1
1
44
1
1
15
1
1
1
3
2729
23
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
6
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
9
1
2
1
1
2
1
1
1
1
1
1
1
159
1
1
4
5
1
1
1
1
4
1
2
1
1
1
1
1
1
13
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
6
1
3
1
1
1
2
1
1
1
1
1
834
1
2
2
1
2
1
1
43
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
8
4
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
2
4
1
1
2
3
1
1
3
7
1
1
1
1
9
1
1
1
1
6
1
1
1
2
1
1
2
5
1
1
1
1
1
1
4
1
1
10
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
13
8
1
1
1
1
1
2
134
5
1
1687
959
1
2
8
2
1
1
12
1
1
6
10
9
3
16
2
3
5
1
1
45
1
1
18
2
5
2
1
1
488
8
1
1
1
8
1
1
1
11
5
1
1
1
1
545
10
3
13
1
1
1
1
2
1
1
1
1
1
1
109
1
2
6
1
1
1
2
1
1
1
1
22
1
1
1
1
1
1
1
11
22
3
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
5
1
118
6
14
1
6
1
1
1
1
5
2
1
1
1
1
1
1
1
32
1
1
1
1
1
1
1
8
1
5
1
1
1
1
1
29
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1876
1
1
1
1
1
1
1
2
8
1
1
1
1
3
4
1
1
1
37
1
8
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
23
1
1
4
2
1
1
2
6
1
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1088
1
1
5
1
1
1
1
1
1
1
1
1
4
3
2
1
1
2
1
40
1
8
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
28
4
1
2
1
1
1
1
1
1
1
1
1
347
1
1
2
2
1
1
19
1
5
1
1
1
2
1
2
262
3
1
2
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
2
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
4
5
1
2
1
2
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
2
7
1
1
1
1
1
2
2
1
4
2
1
103
1
1
1
1
1
1
3
4
1
3
1
3
1
1
1
1
1
2
1
13
1
3
1
1
1
2
39
1
2
2
109
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
124
1
1
1
1
213
1
1
1
1
1
1
1
281
2
1
3
1
1
18
1
1
1
1
1
1
1
1
1
1
2
1
6
1
2
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
1
1
1
2
10
2
1
1
1
3
1
1
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
2
3
1
1
2
1
7
1
1
5
12
1
1
1
1
1
1
1
2
1
2
1
1
1
15
1
4
1
1
1
3
1
1
2
7
1
2
1
1
1
4
1
1
2
1
1
3
1
1
4
2
4
1
1
1
1
2
1
1
1
2
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
118
1
1
1
1
1
4
1
1
1
2
1
8
1
2
2
1
1
1
1
2
2
1
4
1
1
8
1
1
1
2
1
1
2
84
1
1
1
1
1
1
2191
1
2
1
1
1
1
14
1
1
4
1
1
7
2
1
5
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
1
8
1
1
1
1
7
23
2
1
1
1
1
1
1
1
1
6
1
2
1
162
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
75
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
3
1
2
1
1
1
1
5
1
23
1
1
2
1
2
1
5
1
2
1
1
2
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
1
8
2
1
17
1
1
10
129
1
1
2
1
1
1
6
1
4
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
12
1
2
9
4
1
3
1
1
1
3
2
1
2
1
1
1
1
1
1
1
1
5
3
1
1
1
1
4
1
2
4
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
110
1
1
1
34
313
1
1
1
1
60
1
8
1
1
1
1
2
1
3
1
2
1
1
1
1
1
2
4
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
2
1
1
1
2
3
3
8
2
1
1
1
1
1
3
10
4
5
1
1
1
1
1
1
1
5
1
2
1
1
1
2
8
1
2
41
1
1
1
2
9
1
1
1
1
5
16
40
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
7
1
7
1
2
4
1
2
1
1
1
15
1
8
1
2
3
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
31
5
1
1
5
1
2
1
1
4
1
3
2
1
1
1
1
1
1
5
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
32
1
4
1
2
1
1
2
1
1
5
1
1
3
1
1
2
1
8
1
2
1
1
1
1
1
2
8
3
1
2
1
1
1
1
296
3
1
2
1
13
29
7
1
1
1
1
7
2
2
1
1
13
6
18
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
42
3
1
1
2
1
1
1
1
1
2
1
1
1
4
2
1
1
4
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
3
1
1
12
1
1
14
6
1
2
1
1
3
1
1
9
7
5
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
2
3
1
4
1
1
1
1
1
1
21
6
1
1
2
1
1
1
1
5
1
1
1
1
2
1
12
447
3
1
1
17
1
7
1
4
1
1
1
1
2
4
1
1
1
2
2
2
1
1
1
1
2
29
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
5
2
1
2
1
1
1
1
4
1
1
1
2
3
2
1
2
1
1
1
3
1
1
2
1
1
2
6
1
1
1
1
1
14
1
2
1
1
1
1
1
1
1
1
2
1
6
1
1
2
2
1
4
1
1
1
1
1
1
1
6
2
9
2
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
2
2
1
1
1
1
3
1
1
2
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
1
52
1
1
1
1460
145
3
7
1
1
1
1
27
1
1
124
1
2
3
113
2
1
213
1
1
2
7
1
2
4
18
18
7
4
2
1
10
1
201
19
1
269
4
25
3
3
1
1
12
7
1
1
1
3
1
1
1
1
2
3
1
1
2
1
1
1
1
6
313
4
1
5
1
1
1
1
454
1
2
1321
1
1
2
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
6
1
1
1
2
1
1
1
1
1
3
1
1
35
1
28
1
2
1
2
65
5
2
43
1
13
1
1
3
1
1
2
1
1
1
3
3
2
1
2
5
1
8
7
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
2
1
1
1
1
21
1
12
2
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
35
50
3
4
1
1
1
1
1
1
3
1
1
1
1
2
1
4
1
204
1
1
1
7
1
1
1
2
8
1
139
99
1
1
1
1
11
1
1
1
1
1
1
2
1
2
1
4
1
1
2
1
1
1
2
1
1
1
1
1
3
3
1
1
1
10
1
1
1
1
1
4
43
2
1
3
3
1
1
2
1
1
1
1
1
1
1
153
209
1
1
1
89
47
4
1
1
1
1
1
3
20
4
1
20
2
1
1
1
1
2
2
1
1
1
1
2
1
2
1
1
2
2
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
17
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
2
2
11
5
3659
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
7
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
9
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
9
1
1
2
1
1
1
2317
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
2
1
4
2
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
9212
4
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
4
1
1
1
10
1
2
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
5
6
1
2
1
1
8
1
1
15
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
5
1
1
1
4
3
1
1
1
1
98
6
1
2
1
1
1
2
1
1
3
2
1
3
17
1
1
1
1
2
1
1
1
4
1
1
1
71
2
1
1
1
1
1
1
7
1
1
1
2
5
1
2
1
2
1
1
1
2
1
5
2
1
2
1
1
21
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
6
1
1
1
1
1
1
2
1
148
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
10
1
1
2
1
1
1
1
1
1
1
13
2
1
2
1
2
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
9
1
1
1
1
1
1
1
1
1
2
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
15
3
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
5
3
3
1
1
1
6
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
629
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
2
1
1
14
1
7
1
1
1
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
4
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
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
2
1
1
1
1
2
7
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
18
1
1
1
1
1
2
1
46
1
1
1
1
1
3
1
3
52
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
14
3
2
1
12
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
24
1
74
1
1
1
1
1
1
1
1
1
39
1
1
4
1
1
1
1
1
1
9
1
1
1
1
1
1
2
1
1
1
1
1
8
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
8
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
25
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
8
1
435
1
1
1
2
1
1
1
1
1
2
1
1
17
1
1
1
1
3
1
1
7
1
1
2
1
1
1
1
3
1
1
1
4
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
12
1
2
4
1
1
17
28
1
1
7
2
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
2
20
1
3
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
8
2
1
3
1
1
1
1
1
2
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
2
1
3
6
1
1
1
1
2
2
5
6
11
1
1
1
5
5
1
1
1
3
1
1
3
20
1
1
1
1
1
1
1
2
1
6
1
1
1
2
1
2
2
1
1
1
1
2
3
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
3
2
5
1
1
2
1
1
3
1
2
1
1
1
1
4
3
1
2
1
1
1
2
1
6
1
1
1
1
1
4
1
1
1
7
2
1
4
1
1
1
5
1
2
4
1
1
1
12
2
1
1
1
1
1
5
1
1461
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
2
1
1
1
4
1
4
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
8
1
1
1
1
1
3
5
1
6
1
1
2
1
2
2
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
4
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
1
1
1
1
1
1
1
1
1
1
1
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
1
1
1
6
1
1
1
1
1
1
1
1
2
1
7
1
1
35
184
5
3
30
1
2
31
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
6
2
2
13
2
1
1
1
1
1
1
1
1
1
8
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
2
1
4
1
1
1
1
1
1
4
1
1
1
1
1
6
1
1
1
1
1
1
1
13
28
1
1
1
2
1
1
1
1
8
1
1
3
1
2
37
2
1
2
1
2
1
1
1
1
604
1
1
1
1
2
2
2
2
1
144
3
1
1
1
3
1
1
1
18
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
24
1
4
1
1
3
1
2
3
1
1
1
1
1
11
1
1
3
1
3
50
1
1
1
1
1
1
3
1
1
4
1
1
65
1
1
1
1
2
1
1
1
1
205
2
2
1
3
1
1
3
1
2
1
4
1
1
1
2
8
1
1
1
1
1
1
2
1
2
2
50
1
1
1
1
14
1
1
1
1
3
960
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
33
17
4
1
1
1
3
1
90
16
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
3
1
1
4
2
1
1
1
4
1
1
14
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
21
92
101
1
3
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
9
1
39
9
2
2
1
1
1
1
1
2
2
1
1
1
1
1
692
1
1
3
1
1
1
1
1
1
1
31
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
2
52
1
1
1
22
5
2
4
1
2
1
2
1
3
1
2
16
5
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
3
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
2
3
2
2
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
2
4
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
113
1
1
10
3
1
12
1
1
1
1
1
1
2
1
13
1
1
2
6
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
7
2
4
1
2
1
2
3
1
2
2
1
1
2
2
1
1
1
1
1
8
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
5
1
1
2
2
1
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
1
1
1
1
1
7
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
8
1
1
1
1
1
1
2
1
3
1
1
1
2
2
2
1
1
3
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
6
7
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
3
1
2
1
1
2
3
1
1
1
1
1
1
2
2
1
1
8
1
1
1
2
4
1
9
1
4
1
1
9
1
5
1
1
1
1
1
6
1
2
2
7
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
9
1
3
1
1
1
3
1
2
2
3
1
2
1
2
2
1
1
2
1
1
1
1
1
9
20
1
10
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
3
2
1
1
1
1
1
6
2
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
2
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
9
22
2
1
3
2
1
1
1
1
24
2
3
1
1
2
1
1
1
1
1
1
5
1
8
79
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
5
1
2
65
627
5
1
3
1
58
2
2
1
1
1
8
1
1
1
1
2
1
1
1
1
1
1
1
9
2
1
5
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
4
12
2
99
3
87
1
41
12
4
7
2
1
1
5
1
2
1
1
2
1
1
1
1
204
1
1
1
1
1
1
1
8
1
3
1
2
2
1
1
45
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
30
1
1
40
1
1
1
1
1
1
8
1
9
1
1
1
1
1
1
1
1
1
1
1
48
2
3
2
2
1
1
1
2
2
1
1
1
1
3
3
2
2
1
1
1
1
1
1
5
1
4
2
3
8
1
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1161
1
1
1
1
4
2
1
1
122
2
2
1
5
3
855
4
1
1
2
2
2
1
1
4
1
2
1
3
2
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4232
1
2
1
1
1
133
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
8
1
10
3
1
3
1
2
2
1
1
1
1
1
560
4
6
16
1
1
3
10
1
3
1
1
1
6
32
1
3
23
1
1
1
1
1
1
1
1
1
1
4
21
7
1
1
1
1
1
1
1
2
2
1
1
4
1
107
343
13
1
1
3
1
1
1
2
1
1
1
33
3
1
30
32
1
1
3
3
1
1
1
1
1
1
2
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
408
1
1
4
1
29
199
1
2
1
1
1
3
2
1
2
12
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
5
1
556
14
6
1
1
1
1
2
8
1
2
3
30
3
2
1
17
1
3
2
14
2
1
1
1
8
1
1
11
73
4
1
28
2
1
1
1
1
1
21
1
1
3
2
1
1
3
1
1
1
1
1
1
3
5
1
3
1
1
2
1
1
1
1
3
1
1
1
1
1
1
5
115
1
1
1
4
6
2
1
1
1
1
3
1
1
1
1
1365
12
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
2
1
1
1
3
2
1
1
2
1
1
146
3
1
28
1
1
2
1
1
1
1
2
1
7
1
1
2
6
1
1
1
1
2
1
1
1
1
2
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
1
1
25
1
2
17
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
2
1
1
1
1
4
1
1
1
1
2
1
1
1
4
1
1
2
12
1
3
3
1
1
3
3
15
1
1
1
17
2
15
1
4
1
1
1
1
5
1
1
2
3
1
1
1
4
4
1
1
2
1
1
1
1
1
3
1
1
163
1
2
1
1
1
12
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
28
11
1
1
1
1
1
1
1
1
2
1
4
3
1
1
2
1
3
140
1
1
1
1
1
1
1
1
2
1
1
1
1
1
384
1
1
6
1
6
1
6
15
9
8
1
5
133
1
1
1
1
1
1
1
3
913
1
1
1
1
10
1
1
1
2
5
2
1
1
15
1
3
1
115
27
1
1
1
2
1
4
1
3
4
1
1
1
30
6
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
14
1
1
1
1
1
1
1
1
2
1
1
1
1
1
13
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
5
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
3
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
4
3
1
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
8
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
4
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
53
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2605
14
14
19
21
8
1
8
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
4
15
8
1
1
1
1
1
1
3
1
1
97
1
1
1
1
1
2
2
1
7
1
1
3
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
5
2
2
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
4
14
1
1
2
1
1
1
1
1
1
1
1
1
1
422
14
2
8
1
1
2
7
3
3
1
1
1
1
1
3
1
1
316
1
1
1
1
1
11
1
1
1
1
1
1
39
1
3
1
3
1
1
1
1
1
1
102
1
1
1
1
2
1
1
1
1
2
1
2
1
1
6
3
1
1
1
1
4
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
16
1
1
1
7
1
1
1
1
2
4
1
2
3
2
1
11
7
113
2
6
23
1
1
1
2
3
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
3
1
1
1
15
3
1
1
26
1
1
1
1
154
1
1
1
1
1
1
1
2
1
1
1
1
1
89
1
1
1
1
1
1
1
1
1
1
1
1
11
38
1
1
3
2
20
1
10
1
2
18
1
3
1
922
1
3
1
2
13
28
5
2
1
1
4
1
46
3
8
7
1
1
8
3
3
30
2
1
251
2
1
1
3
1
1
185
1
1
7
1
1
1
1
1
1
1
1
1
4
1
2
1
2
1
206
29
4
2
1
1
1
1
5
1
1
1
2
1
1
13
3
8
5
1
1
1
1
1
1
1
1
1
1
1
1
1
30
1
2
1
1
5
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
5
1
1
1
2
1
1
6
1
4
1
3
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
4
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
4
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
769
1
1
1
1
1
1
1
1
1
16
3
2
1
1
1
38
22
17
4
4
1
3
9481
391
40
1
2
2
2
1
1
2
1
7
7074
2
3
2
1
1
1
1
1
8
7
1
7
1
1
1
1
23
5
1
3
3
1
1
1
1
5
1
1
896
5
1
2
49
8
5
1
2
130
1
1
2
25
1
1
1
1
1
30
13
1
54
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
17
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
3
1
1
1
10
85
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1478
2
1
1
1
2
9
1
2
21
6
1
4
2
1
1
1
1
1
1
10
1
1
1
1
265
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
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
1
2
2
1
3
1
2
1
3
1
1
1
1
3
1
9
3
1
1
1
24
1
1
1
3
2
1
35
3
10
4
1
1
5
1
4
6
1
1
3
3
1
2
1
1
2
1
2
1
2
1
1
1
1
2
1
1
1
1
1
10
1
2
1
1
2
1
4
2
1
2
7
11
1
1
1
1
1
9
1
1
1
19
1
2
1
2
1
1
1
1
1
1
2
1
1
17
1
1
1
1
1
1
1
1
2
1
3
1
3
13
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
26
9
3
2
1
2
27
1
1
1
1
1
1
1
1
1
1
11
1
3
8
1
1
1
1
21
1
3
1
1
1
1
1
1
131
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
6
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
12
2
1
1
3
1
5
1
1
1
2
1
1
22
121
1
15
1
1
1
1
1
1
68
2
1
1
1
10
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
9
1
22
1
1
1
1
1
1
1
2
1
2
1
3
16
1
1
1
1
1
1
2
1
1
1
1
10
1
4
1
1
1
1
9
1
4
2
1
1
2
27
1
1
1
1
1
1
2
1
1
3
1
1
2
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
2
1
1
3
1
3
1
1
1
2
1
1
1
2
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
10
1
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
2
1
1
1
1
7
2
1
2
1
2
2
1
10
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
76
273
1
1
1
2
1
2
2
12
1
1
1
1
1
2
20
1
2
2
1
1
2
1
1
1
1
6
1
1
1
1
2
7
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
2
1
1
1
5
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
5
4
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
3
1
1
1
1
1
1
1
1
3
1
5
1
1
2
1
1
1
1
1
1
19
1
1
3
1
1
8
1
1
1
1
1
3
1
1
2
69
2
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
2
2
1
5
1
1
1
1
2
6
1
2
3
1
1
8
4
2
1
1
2
4
1
5
1
1
1
7
1
1
1
1
3
1
7
1
1
4
1
1
1
1
6
1
1
6
1
2
1
2
1
5
1
2
1
1
1
1
1
3
1
2
5
1
1
8
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
9
23
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
2
1
2
67
120
17
2
1
1
43
1
2
1
6
1
1
1
1
3
3
23
1
1
1
1
2
255
1
1
1
13
1168
208
1
1
1
1
2
1
1
2
1
3
1
2
1
3
6
1
1
1
2
1
1
1
4
3
1
3
13
1
1
1
1
27
973
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
11
1
1
1
24
1
1
24
1
2
1
2
1
1
1
1
2
5
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
2
1
1
1
5
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
17
1
1
2
1
1
2
1
1
1
4
1
1
1
10
2
18
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
8
12
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
20
1
1
1
1
1
4
1
1
1
1
1
1
1
6
1
4
1
1
1
1
5
1
1
1
2
6
1
1
1
3
1
4
1
1
1
1
1
1
1
2
1
1
1
6
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1133
1
1
1
2
1
7
1
1
1
1
1
1
1
1
63
10
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
5
1
1
1
1
1
3
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
2
19
14
6
1
1
1
1
1
1
1
7
184
2
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
14
4
1
1
2
1
1
2
1
1
1
1
1
1
15
1
1
3
19
1
1
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
15
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
5
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
2
1
8
2
1
12
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
4
2
1
2
1
1
1
4
1
1
2
1
1
2
1
1
1
1
3
1
1
1
2
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
1
1
11
1
1
1
1
3
3
1
1
1
1
1
11
11
2
2
3
2
8
3
3
1
2
1
1
1
2
1
1
1
1
1
2
1
1
3
1
1
2
11
1
11
1
1
2
1
1
1
1
1
1
1
1
28
1
1
1
14
1
1
1
1
1
1
1
3
17
519
13
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
12
1
2
1
1
1
1
2
3
14
5
1
3
1
2
1
1
2
1
2
1
1
1
1
1
1
1
4
8
1
4
2
1
2
2
4
1
1
1
1
5
1
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
4
5
1
2
1
1
1
2
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
8
1
1
1
1
4
1
1
1
1
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
6
2
6
1
1
1
1
1
1
1
1
4
2
3
1
1
1
1
1
5
1
1
1
1
1
1
2
2
2
1
2
1
1
1
1
1
3
4
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
6
1
2
11
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
2
1
1
1
1
9
1
1
1
1
1
1
3
2
1
1
2
2
3
1
3
1
1
1
1
2
1
37
1
17
1
1
6
1
7
5
3
1
405
3
3
1
2
1
1
1
1
2
3
1
1
1
15
1
1
10
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
26
143
1
1
37
1
1
1
1
1
1
1
1
4
3
6
157
864
34
414
5
388
2
1
1
1
15
1
7
1
1
2
6
2
3
1
1
2
1
1
1
2
1
2
1
1
1
4
1
4
1
1
1
1
2
1
1
2
1
171
2
1
1
1
4
1
1
1
1
1
7
1
1
1
1
3
1
143
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
14
1
7
1
1
2
5
1
2
1
144
1
1
1
1
1
1
9
4
89
8
2
1
7
1
1
1
1
6
2
1
2
1
1
86
1
3
1
1
1397
960
50
5
1
2
173
6
1
1
939
12
1
31
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
2
5
1
1
3
2
1
1
1
1
1
2
4
1
572
1
1
1
2
122
3
2
1
1
1
1
1
1
1
1
1
38
33
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
2136
2
5
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
656
8
1
13
1
1
2
1
1
3
4
6
2
1
6
5
1
8
1
1
1
1
2
11
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
3
1
2
2
2
1
4
3
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
2
1
325
1
1
1
7
33
2
1
1
1
1
1
563
3
1
1
9
1
3
1
1
1
1
2
2
2
3
3
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
2
1
1
3
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
1
4
1
1
1
1
1
1
1
5
1
1
1
2
4
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
136
3
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
2
1
1
1
1
1
1
1
1
1
1
2
2
5
1
3
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
2
1
4
2
1
1
1
1
61
2
1
1
2
1
1
1
13
1
1
1
1
2
1
1
8
1
1
2
1
1
2
1
1
2
4
10
1
1
1
2
8
1
1
1
2
4
1
1
1
1
1
1
1
3
1
1
1
1
3
2
2
1
30
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
4
1
1
2
1
1
1
2
1
2
1
1
1
1
1
23
47
1
4
1
1
1
1
10
1
1
24
1
1
4
6
1
97
9
2
1
1
2
2
11
1
1
214
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
4
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
3
1
4
1
5
1
1
1
1
4
2
75
5
1
77
1
1
1
11
5
2
1
1
4
3
1
1
1
28
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
2
3
1
4
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
390
1
1
1
1
1
1
1
9
1
1
1
3
1
14
4
1
1
2
6
1
1
4
12
1
1
2
1
2
2
1
1
4
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
2
1
1
1
2
4
1
127
2
1
118
570
1
2
956
1
3
1
1
1
21
2
1
1
155
1
12
1
1
2
4
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
2
2
2
1
1
377
3
2
2
3
1
1
14
1
1
1
1
2105
1
1
1
3
1
3
6
3
1
1
4
1
1
3
3
1
1
1
2
1
6
1
1
1
2
1
1
1
1
1
1
1
8
1
1
4
1
1
1
1
2
1
11
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
4
1
1
5
4
1
2
2
1
1
1
3
2
1
1
1
3
7
1
2
1
1
1
3
1
8
5
1
2
1
1
1
1
1
7
1
1
1
1
1
1
5
1
2
1
4
1
1
3
1
1
1
1
4
1
1
1
1
2
1
308
1
1
3
1
1
21
2
1
1
1
4
3
3
1
1
1
1
6
1
1
1
1
1
1
1
3
1
2
1
2
4
2
1
379
2
1
1
1
1
39
1
1
1
3
1
32
2
1
2
1
1
1
1
1
1
6
1
1
2
1
1
1
1
1
1
1
2
1
1
36
1
1
5
63
14
1
14
1
1
1
6
1
2
1
1
48
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
17
2
1
1
1
32
2
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
15
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
47
4
1
1
2
1
2
1
7
2
1
14
1
1
1
1
1
1
1
4
1
1
2
1
1
10
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
4
2
2
25
2
2
1
1
1
1
1
1
1
2
3
19
2
1
4
1
1
5
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
2
1
1
8
1
1
1
2
1
1
1
2
1
1
1
1
1
1
4
6
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
7
2
1
1
1
1
1
5
1
1
1
1
1
2
2
1
7
1
1
3
1
1
17
1
1
1
1
11
2
1
1
2
1
2
1
1
1
1
2
1
1
1
2
6
1
1
1
2
1
1
1
1
1
4
79
2
8
1
1
1
1
1
1
1
1
1
1
4
1
2
5
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
2
1
2
3
1
1
1
2
1
1
1
1
46
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
2
1
1
8
2
1
1
1
3
1
1
1
4
1
5
1
1
1
1
2
1
1
1
1
1
2
4
1
1
37
1
1
4
3
1
4
1
1
2
2
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
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
2
1
3
1
1
1
1
1
1
1
9
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
4
1
8
2
1
1
8
1
1
2
1
6
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
5
2
2
4
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
19
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
14
1
1
1
1
1
1
1
1
2
4
1
6
1
1
1
2
1
1
1
1
1
1
22
1
1
1
1
1
4
1
1
2
5
4
1
1
79
1
2
1
1
1
2
1
1
3
1
1
4
1
1
1
1
1
1
1
1
2
4
109
1
1
1
1
1
1
5
2
1
1
1
6
24
4
1
1
10
1
1
1
3
1
1
1
1
1
1
2
1
2
48
4
2
1
1
1
1
1
1
1
4
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
20
32
1
1
3
302
40
4
1
1
1
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
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
2
1
1
1
1
1
32
1
1
1
1
1
1
1
1
1
1
1
1
2
18
1
10
43
1
1
1
1
1
1
1
1
1
1
1
18
1
1
1
2
2
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
5
1
4
1
3
3
1
6
7
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
32
1
1
1
1
4
2
2
1
1
15
2
1
1
1
1
1
4
2
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
2
4
1
1
1
2
1
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
12
1
5
2
1
6
1
4
1
1
1
3
1
1
1
339
1
1
1
1
1
3
1
1
1
7
18528
1
1
1
1
1
1
1
1
1
1
1
1
1
97
1
7
1
11
1
1
1
18
1
5
16
1
1
1
12
156
1
1
1
8
1
229
181
1
2
43
1
1
475
2
2
1
1
13
7
13
2
7
1
1
1
1
2
199
12
54
2
10
1
1
1
702
4
7
9
2
1
3
1
5
6
4
3
2
1
1
2
1
1
3
3
1
8
2
3
1
1
1
11
1
1
1
1
1
1
1
1
1
2
1
35
4
1
4
2
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
3
2
20
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
6
1
4
1
3
1
1
1
1
1
4
3
1
1
1
1
2
1
1
1
4
1
1
1
1
2
1
5
3
2
4
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
4
1
2
1
3
1
1
1
3
1
1
1
1
1
2
1
1
7
2
126
1
21
1
1
1
1
1
1
1
2
1
1
2
1
5
1
1
1
1
45
4
2
1
1
5
1
1
1
2
50
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
34
17
6
1
35
65
6
5
39
3
1
2
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
5
1
2
1
4
1
18
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
275
1
1
1
5
4
1
9
5
3
5
4
1
1
4
4
8
6
3
1
1
1
1
1
1
3
1
1
1
1
2
3
1
64
7
1
3
7
1
1
1
1
15
7
1
1
1
1
1
1
1
2
5
2
1
2
1
5
16
1
1
1
1
1
1
1
1
1
76
1
1
1
4
1
1
1
1
3
2
1
3
1
4
1
1
5
13
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
138
1
2
2
2
1
1
1
1
1
1
1
2
1
9920
700
12
1
2
39
5
1
8
9
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
94
1
1
1
3
2
1
1
6
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
5
2
2
3
1
1
2
6
1
1
1
1
2
1
1
1
1
2
1
1
1
9
1
1
1
3
1
6
2
1
2
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
2
1
1
42
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
5
1
7
1
1
1
1
2
1
7
4
2
1
2
1
1
1
8
1
1
2
6
1
1
1
1
7
3
1
5
1
1
1
6
23
1
1
1
30
1
1
1
7
97
57
1
1
1
1
1
13
4
1
1
2
1
2
1
2
1
1
5
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
17
516
52
1
10
34
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
2
1
2
1
1
1
1
1
6
1
2
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
2
2
1
7
1
47
2
1
1
229
10
2
1
6
1
2
1
54
1
72
3
14
2
8
1
1
2
1
1
1
1
1
7
2
1
1
1
1
1
1
2
1
1
4
1
7
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
3
1
71
1
8
7
1
3
1
1
4
7
2
1
1
3
1
1
1
1
1
1
1
1
1
131
1
1
59
27
5
2
3
1
1
1
1
2
49
1
486
1
1
2
1
2
1
1
1
5
288
332
1
1
1
1
1
2
1
1
7
1
1
259
91
1
1
1
1
1
59
5
1
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
2
1
1
1
3
6
3
17
1
1
1
1
1
1
1
1
2
3
2
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
1
1
2
2
1
1
1
6
1
1
1
2
3
1
1
1
1
1
1
1
120
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
39
1
1
1
1
4
1
2
3
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
2
1
2
4
4
1
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
2
1
1206
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
6
3
1
1
2
7
1
1
1
1
1
1
1
4
2
1
1
2
1
2
1
1
1
2
3
1
1
3
1
1
9
3
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
16
1
1
1
1
1
1
1
56
1
2
2
1
2
1
1
8
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
4
2
10
1
2
53
136
1
1
1
1
1
6
1
2
3
1
11
1
1
6
1
1
1
1
1
1
1
2
1
1
1
8
1
1
2
1
1
1
1
14
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
16
2
1
1
1
1
4
1
2
3
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
60
1
1
8
1
1
1
1
1
1
1
6
1
2
1
1
3
1
1
4
1
1
2
2
1
1
5
1
1
1
1
1
2
2
1
10
1
4
1
4
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
2
2
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
3
2
1
1
1
1
1
11
1
1
1
1
1
15
1
11
3
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
108
1
3
6
2
34
4
1
1
1
1
1
1
11
6
1
2
3
1
1
1
1
1
2
1
1
2
1
1
1
1
10
2
14
105
1
125
1
1
1
1
1
2
1
3
1
1
490
1
1
1
1
1
1
1
1
1
2
1
6
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
4
1
189
1
1042
1
1
5
1
1
1
1
1
1
1
1
1
5
1
232
17
1
1
1
1
1
1
4
1
1
2
1
3
1
1
19
1
1
1
1
1
1
1
2
3
1
15
2
192
1
1
1
9
1
1
3
1
1
1
1
2
11
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
5
1
1
3
3
4
1
8
4
1
1
15
1
1
1
2
1
1
1
2
1
5
1
2
1
1
1
1
2
4
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
11
1
2
1
2
2
3
1
1
2
1
1
1
4
3
1
1
1
2
2
1
1
3
2
1
1
3
1
1
1
1
1
1
1
1
2
5
1
1
6
1
107
2
3
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1188
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
7
1
1
1
91
2
1
4
1
1
1
12
1
1
9
1
172
13
62
42
398
2
12
20
1
4
1
1
1
190
1
1
1
1
1
1
1
1
6
2
1
1
1
20
9
1
1
1
1
1
1
6
2
1
2
1
1
4
1
1
8
1
2
1
1
1
1
1
1
1
1
1
1
1
7
2
1
1
7
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
7
1
4
1
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
22
2
21
306
1
3
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
320
1
1
1
1
1
1
246
1
1
1
521
1
1
1
1
626
400
9
5
1
1
1
1003
1
1
1
1
2
3
1
1
1
1
3
1
1
1
2
10
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
11
1
2
1
4
1
4
1
4
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
2
145
1
1
4
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
20
1
1
6
1
1
1
1
1
1
1
7
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
3
3
1
2
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
17
1
2
1
1
1
1
1
7
1
1
1
1
1
1
1
11
57
7
1
1
10
1
57
1
3
1
1
1
1
1
7
1
1
1
4
1
1777
1
1
1
1
1
1
1
11132
2
507
97
1
1
1
1
1
1
1
1
1
1
2
11
1
1
1
1
2
1
3
1
2
1
3
1
1
4
8
247
539
3
6
1
4
1
1
2
1
2
4
1
1
1
2
1
1
1
1
1
2
2
4
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
1
1
1
1
2
1
18
1
1
1
2
3
2
1
1
1
1
1
1
10
3
1
7
1
1
1
1
2
19
3
1
3
1
1
1
1
1
2
1
1
5
1
4
20
1
1
1
1
2
5
2
2
1
1
3
1
1
1
1
8
1
1
185
4
5
2
1
5
1
52
1
1
2
1
1
7
1
1
7
1866
2
15
2
2
1
4
6
2
1
1
3
2
1
1
4
2
1
1
1
1
2
1
1
3
2
1
2
1
1
1
1
1
3
1
5
1
1
1
1
11
2
2
2
1
1
1
6
1
1
1
1
2
1
6
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
1
4
1
1
32
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
6
2
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
16
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
1
1
1
1
19
1
1
1
1
1
1
125
5
2
1
4
789
33
1
1
1
1
2
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
4
1
1
3
10
1
1
1
6
1
1
1
1
6
1
1
2
1
1
2
1
1
2
2
2
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1218
1
1
1
1
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
65
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
2
1
57
187
1
1
1
4
2
35
9
12
1
398
1
2
1
10
1
128
7
5
10
2
2
30
1
1
1
1
2
1
1
2
2
1
107
41
47
2
2
1
1
2
3
3
2
1
1
146
13
42
1
7
1
4
1
1
1
1
1
1
1
1
17
1
1
1
1
2
3
7
1
12
2
2
2492
2
1
1
2
1
1
2
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
85
1
2
2
2
1
1
2
1
166
1
4
1
1
4
4
2
2
1
1
7
3
35
1
2
1
1
2
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
5
1
2
1
1
1
1
1
7
1
1
3
1
9
1
1
1
1
1
13
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
2
1
1
1
2
1
3
1
1
11
2
1
1
2
61
1
3
1
1
1
1
1
1
3
2
1
1
1
5
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
164
1
1
1
1
6
3
1
4
12
2
1
1
2
1
1
1
1
1
56
2
3
1
8
1
1
1
1
1
1
2
2
3
2
1
1
1
1
1
2
1
1
3
1
2
151
1
1
1
1
2
1
1
1
1
14
1
1
2
16
2
1
1
31
1
1
22
1
1
23
1
1
1
2
4
1
2
1
1
1
1
1
2
2
1
2
1
2
1
1
1
33
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
223
2
61
81
9
3
1
1
1
1
1
1
1
5
1
1
76
1
1
2
2
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
15
1
1
1
1
1
22
1
1
1
1
3
12
2
1
3
1
1
3
20
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
14
9
1
1
1
1
2
2
1
19
1
1
1
1
2
1
1
1
1
1
22
2
1
1
1
1
2
1
1
2
2
1
4
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
2
4
7
7
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
2
1
1
37
1
1
1
2
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
2
1
1
2
1
2
1
1
2
2
8
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
17
1
1
1
1
2
3
1
1
1
1
2
2
2
1
2
1
5
3
1
1
3
1
10
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
3
1
1
1
2
1
2
1
4
1
2
1
1
1
1
1
1
1
1
3
21
5
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
56
1
1
6
1
1
1
3
1
1
1
1
1
1
1
3
4
1
1
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
3
1
1
2
1
13
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
4
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
2
1
7
1
1
2
1
1
31
7
8
1
4
1
1
1
1
1
2
1
1
1
1
50
1
1
1
1
1
1
1
1
1
2
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
4
1
1116
1
1
12
2
1
196
5953
1
2
1
1
1
1
1
9
1
1
1
2
1
1066
1
1
1
4409
1
1
3
1
2
1
1
1
153
1
1
1
9
1
1
1
1
2
2
3
3
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
6
2
1
1
1
2
1
5
7
1
1
1
1
6
1
3
2
1
151
1
3
1
1
1
8
2
1
1
1
2
1
4
1
1
1
1
1
2
1
1
6
1
7
1
1
1
1
1
22
1
1
1
1
3
6
1
1
3
1
1
3
1
1
1
9
1
1
1
1
1
2
1
1
3
3
1
25
44
1
1
302
8
2
1
1
2
37
1
1
1
1
1
1
1
4
58
1
1
1
1
1
1
217
3
18
6
1
1
1
1
1
1
287
1
1
4
83
1
1
2
1
1
1
1
3
4
1
2
1
15
1
1
1
9
1
1
1
1
1
4
2
1
1
1
1
1
1
1
12
1
1
1
1
3
5
11
6
1
1
21
1
1
19
1
1
6
1
20
14
1
1
4
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
6
1
1
1
1
1
51
1
1
1
120
1
1
4
8
1
1
3
1
1
1
1
1
1
4
2
1
1
7
5
10
1
1358
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
4
1
1
22
1
1
1
1
1
1
1
3
2
1
2
1
1
1
1
12
1
1
1
1
1
1
3
1
1
1
1
1
3640
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
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
2
3
1
2
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
2
1
1
3
2
1
6
1
3
1
2
1
1
1
1
1
1
1
1
2
2
1
17
2
1
3
2
1
8
1
303
4
1
1
1
2356
2
11
1359
7
1
1
1
5
6
1
2
1
1
2
9
275
1
1
1
227
22
2
2
2
6
6
1
1
1
1
1
1
2
1
30
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
4
11
2
6
1
2
1
1
1
1
88
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
2
1
1
1
12
9
1
1
1
1
1
1
1
1
1
1
2
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
1
26
1
1
1
1
1
1
11
1
3
2
6
1
7
152
4
1
8
3
1
1
1
20
37
46
1
140
1
5
3
1
3
1
1
1
1
2
1
1
1
5
1
1
20
9
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
5
1
1
1
1
5
1
1
1
1
2
2
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
10
1
1
1
1
1
1
1
1
1
1
4
1
1
124
1
1
1
1
1
1
7
32
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
3
1
1
1
5
2
1
2
1
1
1
1
1
1
1
30
2
1
70
1
2
12
1
3
1
6
2
1
1
418
1
1
1
1
1
1
8
1
1
1
3
26
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
64
4
1
1243
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
3
1
3
12
2
1
1
3
1
1
65
1
1
1
1
1
1
1
690
1
2
1
1
1
1
1
15
1
1
2
1
1
25
3
1
2
2
1
57
7
1
2
1
1
1
1
3
1
1
1
6
1
3
1
4
2
1
2
1
1
2
1
18
1
1
1
55
95
3
1
4
4
1
4
1
1
2
2
1
1
2
898
6
1
1
1
4
9
4
12133
873
2
1
1
1
40
1
1
1
1
3
1
1
1
1
1
2
14
1
1
1
1
1
8
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
1
1
2
1
1
4
1
1
2
1
2
1
1
1
4
1
1
1
1
1
1
7
1
1
1
1
1
9
1
1
2
1
4
1
1
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
8
4
1
1
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
298
44
1
1
1
1
1
204
7
1
1
5
1
1
1
1
2
2
1
1
1
2
1
1
3
1
1
1
3
1
1
3
1
1
4
1
1
6
1
1
1
1
1
5
1
2
5
6
27
16
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
2
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
14
10
1
11
1
1
1
1
1
18
2
1
1
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
51
1
1
6
1
2
1
8
1
21
2
1
1
1
1
4
1
2
1
1
1
1
2
4
2
3
2
65
1
1
14
10
29
1
2
1
70
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
60
1
1042
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
4
1
1
1
219
21
1
22
1
1
8
1
9
1
104
2
1
2
2
1
1
1
1
1
1
1
2
1
1
2
13
1
1
1
2
1
2
1
1
3
2
2
3
6
1
1
1
1
1
1
2
1
2
1
2
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
11
1
46
2
1
1
1
1
1
2
1
1
1
14
5
50
4
1
1
1
1
1
1
2
1
1
1
1
1
5
2
1
3
3
6
8238
1
1
1
122
1
523
127
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
53
1
1
1
1
1
1
1
1
2
1
1
28
1
1
7
2
2
1
2
16
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
4
1
1
1
1
2
1
2
3
1
1
1
1
19
1
1
1
1
1
1
2
1
4
11
2
1
1
2
1
1
35
1
4
585
3
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
2
3
2
1
1
1
26
1
1
1
4
6
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
7
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
2
2
1
1
1
10
1
2
1
1
2
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
10
1
1
3
5
4
2
1
1
1
1
2
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
1
1
3
2
3
3
1
66
3
2
1
1
2
6
4
1
15
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
3
1
1
1
1
1
1
3
2
1
1
1
16
6
1
1
1
3
2
3
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
17
3
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
7
1
654
1
1
1
1
1
1
1
3
1
1
1
1
4
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
2
1
1
5
2
1
1
1
1
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
1
1
2
1
3
1
1
1
3
2
2
2
1
1
47
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
4
3
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
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
2
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
35
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
18
1
8
804
1
4
1
1
1
1
1
15
4
43
1
1
1
1
1
1
1
146
2
1
1
14
1
1
1
1
1
1
1
1
1
3
13
1
1
1
1
1
1
12
1
1
1
39
2
2
7
11
6
1
1
9
1
3
2
1
1
1
1
1
1
1
15
1
1
1
1
2
1
1
1
1
1
1
1
1
1
10
3
1
1
1
3
4
1
2
1
6
1
1
2
3
1
1
1
7
1
1
1
1
1
2
1
1
1
1
1
277
2
1
1
3
1
1
1
5
1
2
26
1
1
4
1
1
1
6
1
1
3
1
1
4
5
1
1
2
2
1
7
1
2
1
1
1
1
1
4
1
1
9
5
5
1
1
6
1
4
1
1
1
1
448
2
2
1
2
1
1
1
1
2
1
2
19
1
1
53
1
1
1
2
1
1
13
1
1
1
1
2
5
1
4
1
1
1
31
1
1
14
1
1
1
1
4
2
1
1
1
27
1
1
1
1
2
1
2
2
1
1
1
3
4
1
1
1
1
2
2
1
1
1
4
1
1
1
1
2
1
1
3
1
1
23
1
1
2
6
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
1
1
1
1
1
1
1
2
2
3
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
2
1
1
1
1
2
1
1
1
1
1
17
411
7
1
4
2
5
1
5
2
2
1
1
106
4
47
1
35
1
1
24
4
6
1
2
1
14903
1
1
1
1
1
1
4
9
3
5
10
1
3
1
1563
41
8550
1
1
1
1
1
20
1
1
1
1
1
4
1
1
2293
587
2
1
1
1
1
1
3
13
7
2
45
1
1
16
1
52
1
1
1
2
1
9
1
1
559
1
3
3
1
1
1
6
1
1
2
1
1
2
3
1
8
1
1
2
2
1
1
1
2
11
1
1
1
1
1
192
1
1
3
1
1
1
2
1
1
1
1
1
72
1
1
13
76
1
2
11
7
3
55
6
1
6
16
5
1
192
33
99
4
3
37
9
1
1
2
100
19
2
1
1
1
1
1
2
1
8768
100
10
48
24
1
23
939
17
12
1
4
1
1
2
1
2
2
1
1
1
1
4
2
2
1
1
6
2
5955
1
2
560
278
8
55
2
405
1
5
190
11
1
4
1
2
1
15
2
44
2
12
6
1
1
2
1
1
3
8
4
3
1
14
2
3
1203
1
9
3
2
2
19
1
3
1
1
1
1
2
1
1
1
105
2
2
13
10
1
4
1
1
1
57
2
1
4
1
2
155
15
11
1
1
407
1
1
1
1
551
1
59
29
852
2
2
1
1
1
158
1
1
1
1149
1
156
1
1
1
1
1
1
3
1
1
1
275
1
57
1
3
5
1
319
2
1
1
1
1
1
3
26
1
1
216
2
159
1
5
1
1
3
1664
1
8
15
1
1
6
31
1
1
51
1
645
15
11
1
1
2
2
1
1
1
115
176
4
276
202
259
1
67
1
1
1
1
2
170
6
1
1
1
1
3
2
1
1
4
4
2
1
1
1
1
2
4
29
1
2
2
1
3
2
1
1
1
1
1
1