1
1
1
1
1
1
1
3
1
1
5
1
1
1
2
1
2
1
1
1
1
1
1
2
7
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
6
1
1
1
7
8
1
1
2
1
1
2
3
1
3
2
2
2
1
2
2
1
1
1
2
1
1
1
1
1
1
1
136
1
1
2
1
1
1
1
1
3
1
1
1
2
5
4
1
60
1
1
6
1
1
1
1
1
4
22
2
1
1
1
1
1
1
1
7
1
2
1
1
2
1
8
2
1
1
1
2
2
1
1
1
1
1
1
1
2
12
1
3
2
1
1
1
1
1
8
54
169
1
1
1
1
8
3
6
1
3
3
18
1
1
6
11
1
3
2
4
2
1
17
2
3
2
102
7
1
4
1
2
1
2
7
1
1
1
1
2
1
7
1
18
2
34
1
2
1
1
7
1
3
2
1
1
1
4
1
2
1
15
9
1
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
2
1
6
1
7
1
1
1
2
10
1
3
2
1
354
2
1
1
1
5
1
1
1
1
14
1
1
1
1
1
3
1
1
1
1
1
14
1
7
1
1
1
1
2
1
194
993
3
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
29
2
1
1
1
59
2
2
1
6
1
1
1
2
2
1
3
8
5
7
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
420
167
1
3
1
2
7
1
1
1
1
1
1
3
41
1
1
6
4
2
2
1
1
1
3
5
1
2
4
67
1
1
1
3
1
6
1
8
3
1
1
1
2
1
7
1
3
2
3
3
1
1
1
1
12
2
2
1
1
1
4
1
1
1
1
1
1
1
1
1
6
1
2
8
4
1
1
1
1
1
1
1
3
1
1
7
1
1
3
2
242
3
1
1
1
1
360
2
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
6
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
2
1
33
1
3
1
1
1
2
1
1
306
17753
54
7
1
2
1
1
7
2
1
2
9
3
1
1
2
1
71
2
1
1
2
1
3
1
1
1
1
1
2
3
1
1
2
1
1
1
2
1
1
7
1
1
3
1
4
1
1
14
1
1
2
1
2
2
4
1
1
2
1
2
1
1
6
2
1
2
1
1
3
2
1
25
2
6
2
1
2
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
9
3
2
1
1
1
1
1
1
1
1
1
2
1
14
3
1
11
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
9
1
1
2
1
5
1
1
1
2
1
1
3
1
2
2
1
22
2
3
1
2
1
1
2
1
8
6
1
1
1
1
1
1
1
3
1
1
1
197
11
48
2
1
1
1
1
1
3
2
1
1
1
5
1
1
1
1
2
2
1
2
3
1
1
8
2
24
1
2
1
1
1
5
5
1
4
4
5
2
1
1
7
7
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
128
3
1
1
1
1
1
1
7
4
8
1
3
2
1
3
1
21
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
162
39
58
104
15
1
146
8
1
2
6
2
1
8
1
2
1
1
1
1
3
2
4
1
1
1
1
1
1
3
1
1
2
1
1
1
1
4
1
1
1
1
1
621
105
2
598
1
1
3
3
1
1
9
3
2
2
1
1
3
2
2
2
393
1184
726
1
1
12
1
1
2
1
3
1
1
5
6
2
1
2
1
1
1
1
1
2
1
1
7
2
1
2
1
1
4
3
8
1
1
1
1
3
9
1
2
1
1
1
1
1
2
3
1
1
1
3
25
82
21
14
5
8
7
5
4
1
1
2
1
1
6
2
9
1
1
1
2
1
1
1
2
3
1
6
1
2
1
1
5
1
1
3
1
7
4
1
83
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
4
1
38
2
1
1
1
2
1
1
1
2
1
1
2
1
1
3
1
1
2
1
1
377
1
1
1
1
1
1
5
1
1
2
1
1
1
1
2
10
1
2
1
1
3
1
1
1
1
3
1
1
1
1
11
1
1
53
1
2
1
2
1
1
6
1
1
1
1
1
4
1
1
1
1
1
1
1
15
10
2
2
2
1
1
6
1
2
1
4
2
8
2
5
2
1
1
1
2
1
1
1
1
2
124
6
7
12
1
1
1
1
4
41
1
1
1
1
1
6
1
1
1
1
1
2
3
2
1
1
3
1
3
15
2
1
2
1
1
1
1
9
7
1
12
3
1
1
1
1
3
1
1
2
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
2
8
2
4
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
20
1
5
2
1
4
2
1
2
2
1
2
1
1
2
1
1
3
1
1
1
1
1
1
2
1
4
1
1
1
1
1
5
76
5
1
2
4
1
15
1
3
1
1
1
1
1
1
1
1
5
1
2
1
1
5
1
1
1
2
1
1
1
638
402
340
4
1
12
1
1
48
1
1
3
1
43
1
108
34
13
10
1
6
1
5
3
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
2
5
1
2
1
1
1
1
1
1
1
6
2
1
1
1
1003
348
2
344
1
2
20
1
8
1
2
1
1
1
2
1
1
1
87
1
1
2
1
1
1
92
181
3
2
8
1
2
1
1
3
1
1
25
24
9
1
1
1
1
21
4
1
1
40
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
4
2
1
1
72
108
406
1
1
1
1
1
1
1
1
1
2
2
1
13
1
1
1
136
51
219
1
1
2
1
1
2
1
1
1
7
1
4
1
4
1
1
2
6
1
1
1
1
1
2
2
5
4
1
19
3
1
6
10
62
198
2
5
2
6
1
1
1
2
45
1324
916
651
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
424
1
1
1
2
67
1
2
2
2
2
1
1
3
5
1
100
534
54
1
3
1
1
1
7
149
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
2
2
1
2
1
1
1
2
2
3
1
1
2
1
3
1
1
5
1
5
3
3
144
362
12
2
18
4
1
2
1
1
3
2
27
2
1
1
1
1
1
2
2
1
3
6
1
2
2
1
1
1
2
1
1
1
4
1
1
2
1
244
284
276
2
1
273
1
1
3
2
3
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
2
1
3
3
8
3
1
1
1
1
1
22
1
1
4
2
1
1
1
1
2
2
1
1
2
14
2
1
6
1
1
3
1
1
1
2
2
1
1
2
1
6
1
5
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
16
2
1
52
2
1
1
1
2
2
2
3
1
1
1
1
1
1
33
1
1
2
1
1
1
1
1
1
2
5
2
26
1
1
4
3
1
32
33
1
1
1
3
3
2
1
59
2
1
1
243
658
1
6
1
1
4
25
1
1
1
3
1
5
1
1
2
3
1
1
1
4
1
1
1
1
1
2
1
584
245
2
6
1
1
5
3
2
1
1
1
1
7
1
4
1
1
4
2
1
2
8
1
1
7
1
7
1
1
1
2
2
1
1
1
4
2
34
64
107
1
1
1
2
152
36
16
14
56
2
1
2
1
1
1
7
17
1
386
3
3
3
1
1
1
1
1
1
2
1
1
1
1042
152
68
1
1
269
1
1
1
3
2
1
1
1
1
1
1
1
10
1
1
2
1
142
63
84
1
1
1
1
9
91
1
75
85
32
1
1
2
1
35
2
322
1
1
1
10
1
1
1
2
3
6
3
2
2
1
1
2
335
1005
249
3
1
1
7
1
1
1
1
1
2
1
6
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
40
1
1
1
1
1
2
1
1
3
1
1
3
2
1
1
2
3
2
1
2
1
4
1
2
1
1
1
1
1
1
1
3
3
1
1
1
3
1
10
2
1
1
1
1
1
1
1
1
1
2
1
2
1
292
1
2
2
1
1
1
1
1
1
1
2
1
4
3
1
1
1
1
1
2
1
1
1
1
738
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
2
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
11
4
1
1
2
1
1
1
1
4
1
2
7
2
17
2
2
1
1
1
3
1
1
11
1
1
1
2
1
20
1
1
1
2
1
1
1
15
6
1
2
1
2
1
1
1
29
4
2
36
4
1
1
1
4
1
4
1
2
1
1
1
3
1
1
3
1
2
3
2
1
2
2
3
3
3
1
1
2
1
46
1
1
3
9
2
1
1
1
1
1
4
1
2
1
2
1
7
1
2
2
1
2
2
2
1
2
1
1
7
35
1
1
1
1
1
2
1
1
1
1
69
14
1
3
1
1
4
1
230
1
1
1
1
1
2
1
5
4
90
1
17
1
1
16
1
1
3
1
2
2
1
1
4
1
2
1
1
1
1
2
1
1
1
1
1
72
2
1
1
1
1
1
5
1
1
2
3
1
1
1
2
1
1
1
6
3
1
1
1
5
4
1
1
1293
1
1
3
1
2
1
1
1
3
1
1
8
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
3
2
1
79
1
1
5
1
1
1
5
3
20
6
1
2
1
23
2
2
4
5
1
2
2
1
3587
1
1
1
1
1
33
1
17
1
2
5
1
1
6
1
6
1
1
1
2
1
428
181
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
6
3
2
1
1
1
1
5
1
2
1
1
1
1
5
2
1
1
5
37
1
19
22
1
1
2
1
1
2
1
107
1
1
1
1
3
1
3
1
2
3
4
1
1
1
3
3
1
3
1
1
2
1
1
1
11
2
1
2
8
1
1
1
1
11
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
15
2
1
1
4
1
1
1
1
94
2
1
3
1
1
4
2
3
2
1
2
1
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
5
3
1
1
1
2
4
2
205
133
1
27
1
1
6
1
1
1
1
2
1
1
1
3
2
1
2
1
1
23
3
1
3
1
2
1
8
7
1
14
2
1
1
1
1
1
2
1
3
1
1
1
2
1
1
44
1
2
3
1
1
19
1
2
1
1
1
1
1
1
1
1
1
2
2
3
1
19
1
2
12
2
1
7
1
2
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
2
3
1
2
3
2
4
1
1
3
3
2
1
2
1
1
1
15
6
66
8
1
1
1
2
9
18
3
2
1
3
1
1
1
1
47
2
1
5
2
1
6
1
1
1
2
2
1
1
6
7
1
1
1
1
2
1
1
1
6
2
1
7
2
1
1
1
1
6
1
1
1
27
1
3
1
16
2
1
1
2
3
5
2
1
1
2
1
7
2
1
1
1
2
1
1
32
1
1
1
1
1
1
1
2
1
2
1
4
1
1
1
1
1
1
1
1
1
15
3
1
1
1
2
1
1
1
1
1
1
1
6
2
3
6
1
1
1
1
1
1
1
1
1
1
2
3
1
1
6
2
1
1
1
5
3
4
2
1
1
1
1
1
1
1
1
1
1
2
1
15
1
1
1
1
1
1
3
1
1
2
1
9
1
1
1
1
2
1
1
33
1
3
8
3
1
2
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
12
5
2
1
1
63
1
1
7
3
2
1
3
1
1
1
1
1
1
1
1
8
1
3
1
5
1
676
189
784
1
1
3
1
5
1
1
1
1
2
1
4
58
39
12
1
7
1
3
54
47
31
4
3
17
4
2
1
1
1
4
1
2
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
2
2
2
1
1
1
1
1
2
1
1
1
1
4
4
1
1
2
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
2
1
1
1
3
1
1
5
1
1
1
1
3
2
2
1
1
2
2
2
1
1
1
1
1
2
1
2
1
1
2
1
2
2
1
1
1
1
4
2
1
1
3
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
4
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
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
4
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
95
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
56
4
1
1
3
1
2
1
2
1
1
1
3
1
1
1
1
3
6
1
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
6
3
1
1
1
1
1
1
8
1
1
159
379
1
52
203
1
3
437
1
1
131
1
1
2
3
1
1
8
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
20
14
9
2
4
2
2
2
8
2
2
1
2
1
3
2
1
1
179
1
33
1
1
1
1
1
1
1
1
3
1
1
1
1
3
12
1
2
1
2
4
1
1
1
2
1
3
1
1
1
6
2
2
3
19
2
14
1
1
1
1
1
1
1
2
1
5
2
1
1
2
1
2
1
2
1
1
3
1
1
1
4
1
1
5
2
1
1
2
7
1
1
1
1
1
6
3
3
11
22
28
6
1
1
1
2
2
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
85
1
1
1
1
2
1
7
1
1
2
1
1
1
20
13
5
1
1
1
1
1
1
1
1
1
2
31
4
1
1
2
1
1
1
2
1
1
10
2
1
32
1
2
3
1
2
5
3
10
1
3
2
2
1
1
1
2
1
2
1
1
7
3
1
1
2
1
1
2
1
4
1
1
1
1
34
4
12
1
8
1
10
131
1
1
2
1
1
1
2
1
2
1
1
1
1
1
6
1
3
4
2
1
5
1
1
1
1
1
1
1
4
1
1
18
1
4
2
3
1
4
4
1
7
1
1
1
2
1
1
1
1
2
4
1
2
1
1
1
2
1
1
2
9
17
10
8
3
3
1
2
4
2
1
4
2
1
1
25
10
1
4
1
4
1
1
4
2
1
3
1
43
2
1
1
1
3
25
2
1
1
1
2
1
1
2
4
1
2
4
1
1
1
1
1
1
1
1
5
54
3
1
1
1
1
1
3
13
1
2
1
1
3
1
1
3
1
6
95
39
10
33
1
1
2
2
935
1010
1987
3
1
1
1
17
35
46
2
1
1
4
1
3
11
1
2
17
3
1
1
2
2
1
1
4
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
50
1
1
1
1
1
2
1
1
158
12
1
22
1
1
2
1
4
2
1
3
3
1
1
1
1
1
1
1
3
1
2
2
2
1
1
1
2
1
1
4
1
1
37
3
1
1
2
35
1
1
1
1
1
1
3
1
1
31
3
1
1
4
5
12
1
2
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
3
1
1
5
1
1
1
1
2
1
19
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
6
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
2
2
1
1
1
1
1
2
2
11
1
1
2
2
1
2
1
2
2
13
1
1
3
1
1
2
1
1
4
4
1
1
1
1
1
1
1
8
1
1
2
1
1
1
407
2
2
2
1
1
2
1
1
5
1
1
1
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
8
1
1
1
1
7
5
2
23
4
1
1
3
1
1
1
1
1
1
1
1
4
3
2
2
1
2
1
1
1
1
2
1
1
1
1
1
1
21
5
1
1
3
15
1
3
1
1
1
3
1
2
617
2
12
9
45
24
1
1
3
1
1
2
1
1
1
1
1
1
31
1
4
1
7
21
1
1
1
1
1
1
2
1
1
7
1
1
4
1
2
2
2
1
196
101
1
1
1
1
1
1
1
2
1
2
5
1
8
3
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
2
1
1
13
1
1
1
2
2
4
3
1
2
1
1
1
17
1
2
2
1
1
1
1
1
4
3
1
1
1
2
33
1
1
2
2
2
1
1
1
1
4
16
1
1
1
6
1
1
1
1
1
1
1
2
1
1
2
1
14
1
1
1
1
2
1
1
1
4
1
3
1
1
1
1
10
5
5
1
1
1
1
1
35
3
1
1
1
1
1
52
1
3
2
4
4
2
1
1
55
6
1
4
1
1
6
3
1
1
2
1
1
1
1
1
1
4
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
2
1
19
8
1
1
1
1
1
2
1
1
6
93
1
1
3
1
1
1
41
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
22
3
1
1
2
1
2
1
1
1
1
1
1
1
1
