2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
14
1
1
1
1
1
1
1
1
1
5
1
1
2
2
1
1
1
2
1
1
2
2
1
20
2
3
2
1
1
1
1
2
1
11
2
5
5
1
1
1
2
1
1
3
1
1
3
1
1
1
3
1
16
1
2
1
1
2
1
1
1
1
1
16
1
3
1
4
1
1
1
1
3
2
3
7
1
2
1
2
3
3
3
1
1
1
1
5
4
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
126
2
11
1
1
1
1
1
4
1
2
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
6
1
1
70
2
1
6
40
23
1
1
1
1
1
1
9
1
24
3
1
2
1
21
2
20
3
1
1
2
1
1
2
2
1
6
1
3
1
1
13
1
3
1
1
1
2
1
2
4
1
2
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
6
1
1
2
1
3
1
5
3
6
1
1
5
38
1
1
2
1
1
1
1
1
2
1
1
7
5
1
6
1
2
1
11
1
4
7
1
7
5
1
1
2
2
1
5
3
1
106
9
9
1
2
1
1
4
2
1
1
1
1
2
6
1
1
23
3
1
1
1
2
3
1
1
2
1
2
11
3
5
1
7
1
17
1
1
1
1
1
1
1
2
6
65
1
1
1
7
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
1
1
2
1
12
1
4
1
1
1
1
1
1
1
4
4
1
1
3
2
1
1
1
1
2
1
1
9
12
1
1
2
1
2
1
5
2
1
1
1
1
1
1
2
6
1
1
1
1
1
2
1
1
1
1
11
1
3
1
2
2
7
1
2
1
2
19
1
15
4
1
1
1
1
2
1
2
1
1
1
1
2
1
5
1
2
9
1
2
2
2
2
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
2
1
1
1
20
7
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
2
1
1
3
1
1
1
1
1
1
1
6
2
2
1
1
1
7
2
1
4
11
1
4
1
1
1
1
1
1
37
1
4
3
1
1
1
197
1019
1
3
2
1
13
3
1
3
28
2
3
3
4
1
2
1
11
1
2
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
3
3
1
1
29
1
15
1
1
2
2
61
2
3
8
5
1
1
4
2
2
3
1
2
2
1
1
1
2
1
2
3
2
1
8
1
6
5
2
2
2
1
1
6
1
1
1
1
1
2
1
1
12
1
17
1
2
11
1
2
1
1
2
1
1
1
1
1
1
1
1
2
9
3
1
1
2
1
4
1
430
166
2
1
6
1
4
1
1
17
1
10
1
1
1
1
34
7
1
1
1
1
1
1
1
2
1
1
1
4
2
1
1
1
9
1
1
7
1
1
1
1
2
1
4
1
3
5
53
2
1
5
1
1
1
1
1
11
5
1
8
6
1
3
1
1
1
10
2
2
2
1
1
1
1
1
1
1
1
2
1
3
5
1
14
1
1
50
1
1
3
1
1
2
1
1
1
1
2
1
24
1
1
1
1
27
1
6
20
58
3
1
1
1
1
1
1
6
13
1
1
2
2
16
33
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
1
1
1
9
2
11
5
1
2
1
2
25
1
1
1
1
1
1
1
5
67
1
1
1
1
372
1
1
1
1
1
1
2
1
1
1
3
1
7
3
3
1
1
1
5
1
1
2
1
1
1
10
1
7
2
1
2
2
1
1
2
3
1
1
2
9
1
3
1
1
1
3
2
2
1
2
1
1
1
2
2
1
6
1
1
9
3
1
2
1
64
1
2
1
2
1
2
2
4
1
1
4
2
1
1
4
1
7
1
1
37
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
1
7
8
1
4
1
313
17696
4
2
1
44
1
1
1
1
20
1
1
1
1
5
4
10
1
1
3
1
1
6
1
1
1
1
5
1
1
5
1
1
1
73
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
2
1
3
5
1
1
1
5
3
6
3
1
1
1
1
1
1
2
2
3
1
1
3
4
1
4
5
2
2
2
2
1
2
1
13
1
1
1
1
1
6
7
1
7
1
9
1
1
1
147
1
1
1
2
1
1
1
1
1
1
34
2
2
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
20
1
2
1
1
1
16
19
3
4
1
2
1
1
1
1
1
6
1
1
1
2
2
2
1
2
1
1
1
2
1
1
22
1
1
1
2
2
9
1
2
3
7
1
5
5
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
4
14
4
12
1
1
1
1
1
13
2
2
1
2
1
1
1
1
1
3
6
1
1
2
1
1
2
1
2
1
1
1
2
1
45
1
1
1
1
1
8
4
7
1
1
1
1
3
6
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
54
2
1
2
27
1
1
1
1
19
2
2
2
1
2
2
1
1
1
1
1
3
22
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
51
27
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
8
1
1
2
2
1
1
3
1
1
1
16
202
54
1
2
1
1
2
1
1
1
1
1
2
1
1
1
2
7
7
1
1
1
1
1
1
10
1
1
2
1
4
1
1
1
1
4
1
1
1
1
30
2
4
1
1
1
1
1
1
1
1
5
1
52
47
1
1
1
1
1
2
1
2
16
2
9
1
1
1
1
1
1
1
4
3
1
1
1
1
2
2
1
5
10
67
1
2
1
1
8
1
1
1
1
4
2
2
1
1
1
1
1
1
1
1
1
1
1
1
5
8
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
3
2
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
5
1
1
2
5
3
2
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
13
2
11
1
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
40
163
1
105
14
23
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
10
5
1
1
1
1
1
3
1
4
53
2
1
1
1
1
1
3
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
1
1
1
3
2
1
2
1
1
9
3
4
1
2
1
1
1
1
627
112
612
1
1
1
1
1
1
2
2
1
1
1
10
3
2
1
11
5
2
1
1
1
1
1
1
1
15
1
1
1
735
411
1216
1
1
3
12
1
1
2
3
1
2
4
38
2
3
1
3
1
2
1
1
1
1
3
1
1
2
2
24
1
1
1
1
6
14
3
33
1
1
1
2
1
1
1
2
2
3
1
1
1
4
1
1
2
1
3
1
1
2
1
9
2
1
2
1
2
2
1
4
1
1
1
6
1
1
1
3
1
2
1
45
4
84
32
10
4
3
2
7
7
1
1
1
7
1
1
1
2
1
3
1
1
1
1
1
1
4
1
1
28
3
1
1
7
2
2
1
1
1
1
11
6
1
1
1
1
1
2
1
2
1
3
1
1
3
1
1
1
35
1
1
1
12
16
1
2
3
2
4
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
8
45
1
1
2
1
2
1
1
1
1
7
14
1
1
1
2
1
1
2
20
2
2
6
3
6
1
4
1
1
1
3
1
1
2
1
1
4
2
1
1
4
1
1
3
1
1
1
1
2
1
1
3
7
5
1
1
1
1
7
1
1
1
2
1
2
2
2
4
1
3
1
2
1
1
4
1
4
1
1
1
2
1
4
1
1
1
1
1
2
1
1
11
4
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
2
3
2
4
3
3
5
5
2
9
1
2
1
6
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
8
1
1
1
1
10
1
1
1
1
1
6
3
1
1
1
2
2
1
1
8
6
14
2
1
2
4
2
2
1
1
1
1
56
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
8
1
37
2
1
1
2
1
1
1
4
1
1
3
1
7
1
3
37
33
2
1
1
1
1
1
2
8
1
10
6
2
1
7
15
1
1
1
1
7
6
26
1
3
1
1
1
3
1
1
2
20
1
3
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
8
1
13
6
1
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
64
2
1
2
1
1
1
16
1
2
1
1
1
1
3
1
2
1
1
1
1
13
4
6
1
1
2
1
3
20
1
18
19
1
1
1
1
1
11
2
4
1
2
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
52
2
2
11
1
8
3
15
1
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
2
7
5
8
1
1
81
4
1
1
11
1
1
4
5
1
1
5
1
1
1
1
3
9
3
2
1
2
1
2
1
3
3
1
1
2
4
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
10
1
1
1
1
2
3
1
1
3
1
1
1
15
1
1
1
1
1
1
2
3
4
5
2
1
1
3
1
657
428
341
3
39
1
14
1
6
1
1
15
3
47
1
27
3
3
1
1
111
40
10
2
1
38
2
1
2
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
7
186
1
3
1
1
1
1
1
3
2
2
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
1
1
1
1
1
1
1
1
3
6
1
1
16
5
3
2
2
1
1
1
2
1
1
1
1
2
3
13
3
1
4
3
1022
367
322
1
6
1
20
1
4
2
1
1
3
1
3
2
6
1
4
3
1
1
1
1
2
1
8
4
1
1
1
2
1
1
1
6
1
1
1
3
1
2
3
1
22
2
2
1
1
1
2
1
2
1
94
185
1
1
2
1
1
3
1
6
1
2
1
1
2
1
3
2
1
1
2
1
2
10
1
1
2
1
4
2
1
95
6
1
2
2
1
1
1
3
261
70
2
2
1
2
3
2
1
1
1
2
2
1
52
1
1
3
1
1
1
2
1
1
1
1
1
1
2
7
3
1
3
1
1
2
1
1
1
1
5
3
1
1
1
1
1
1
11
1
1
3
1
1
109
74
1
1231
1
4
18
215
77
1
1
1
27
1
33
1
4
1
1
4
1
1
1
3
1
1
1
1
1
4
1
1
1
1
2
1
1
2
23
2
1
1
144
223
50
2
1
4
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
2
5
3
1
1
2
1
6
10
1
1
1
2
1
4
1
12
3
1
11
1
1
1
20
4
4
4
1
3
1
1
1
1
1
1
1
1
4
40
32
1350
946
660
4
1
3
1
1
2
1
1
3
1
2
1
1
1
2
1
1
4
1
1
1
1
9
1
1
5
1
1
26
1
1
1
1
1
2
16
1
1
1
6
38
1
17
2
1
5
21
1
1
1
7
10
1
2
4
1
1
1
1
1
541
105
58
2
1
1
1
3
1
1
15
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
2
2
1
1
1
1
1
5
185
1
3
1
1
1
2
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
2
2
1
4
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
21
2
1
1
1
3
1
16
1
1
4
1
2
1
1
1
3
1
1
1
2
2
1
1
2
1
1
1
3
1
2
1
1
1
1
10
1
1
1
2
2
148
1
1
2
1
1
14
3
18
5
4
1
1
4
2
27
3
1
1
51
2
4
1
1
1
1
1
1
1
2
56
2
2
7
3
2
1
1
1
1
1
1
7
2
1
1
1
1
2
1
2
1
1
1
1
1
1
2
6
5
2
12
2
1
1
1
1
1
6
34
1
1
1
1
1
1
2
287
256
285
4
1
2
1
1
4
1
9
2
4
1
1
1
1
23
1
2
4
2
1
2
1
1
2
1
1
1
1
1
1
1
1
6
1
2
2
1
2
1
1
1
3
1
3
1
2
1
1
1
24
1
1
1
6
1
1
1
1
1
2
1
2
1
12
1
3
3
1
25
1
1
1
1
3
4
3
1
1
1
3
2
1
29
12
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
12
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
4
12
6
1
1
9
1
3
6
1
1
2
1
7
1
1
1
2
10
3
1
2
1
39
1
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
2
1
1
2
1
2
1
16
1
1
1
1
1
1
3
33
1
1
1
13
14
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
4
4
1
57
1
2
1
3
2
1
1
2
1
3
1
1
1
1
33
28
2
2
1
1
2
1
5
1
1
8
1
3
2
1
1
59
3
1
61
2
1
1
5
1
246
672
1
1
2
25
1
1
2
4
1
2
1
1
2
1
2
1
2
19
4
5
1
1
2
1
1
1
1
1
1
1
1
17
7
5
3
1
5
2
1
3
20
261
620
1
1
1
6
1
2
1
2
209
1
1
4
18
2
5
1
3
2
1
1
1
1
1
1
1
1
1
6
1
1
3
59
1
3
1
1
1
5
7
1
5
1
17
1
8
1
2
1
3
3
1
1
1
6
1
3
1
1
8
10
5
1
1
8
1
3
1
1
1
4
1
188
121
13
2
1
1
20
2
1
9
1
1
1
153
16
46
14
84
1
2
1
1
1
1
2
3
6
1
2
1
10
1
13
1
1
1
1
17
1
399
9
1
1
2
6
1
1
1
1
1
1
1
8
6
1
2
1
1
3
1
1
1
14
1
2
1
1
1
1
1
1
3
1
156
74
1045
6
6
10
1
258
1
4
2
1
1
1
1
1
2
2
1
3
2
1
1
8
1
1
2
1
1
1
4
4
1
144
63
90
1
6
1
1
5
5
1
1
1
31
93
1
6
108
1
4
1
3
226
76
32
82
1
1
3
2
1
4
1
10
364
1
1
1
3
1
1
2
1
1
1
1
1
4
1
28
1
17
6
1
1
1
1
5
2
6
4
4
2
1
1
2
1
1
1
1
1
1
2
1
1
260
1026
346
4
1
15
3
2
1
2
1
2
1
2
1
1
2
3
2
4
1
13
1
2
1
1
3
1
1
2
5
1
2
1
1
1
2
1
2
1
1
1
1
1
1
46
2
1
1
1
2
1
1
1
1
4
2
1
1
1
4
1
1
1
3
4
2
4
1
1
1
1
1
1
1
2
1
5
1
2
1
1
2
9
5
1
1
2
4
1
1
2
1
1
2
1
2
3
1
1
1
4
1
1
2
1
15
2
2
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
10
1
3
1
1
7
3
1
1
1
8
4
1
1
1
6
1
18
1
2
2
2
2
2
1
2
3
1
4
1
2
1
6
2
1
2
1
4
1
13
11
4
2
5
1
2
1
1
1
1
1
7
5
3
2
1
1
2
15
1
2
1
3
1
1
1
2
2
1
1
2
2
1
4
5
1
1
1
1
12
1
38
1
1
2
1
1
1
13
224
1
1
4
1
1
1
9
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
40
3
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
6
2
2
1
2
1
1
3
1
1
1
2
1
2
1
1
1
1
1
2
1
1
13
1
1
1
2
1
4
4
1
2
1
1
2
1
1
1
3
1
1
1
77
1
4
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
7
26
1
1
1
3
7
1
5
1
1
1
1
1
1
2
2
1
4
4
21
1
1
1
1
4
1
1
4
6
1
4
1
1
1
1
1
9
14
4
1
17
1
2
43
1
1
3
1
1
1
7
1
2
24
1
3
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
3
1
9
3
1
1
3
1
3
1
4
2
5
2
1
7
2
25
1
1
13
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
13
1
2
7
1
1
5
1
1
30
1
1
3
8
3
2
2
11
1
7
1
1
19
1
5
1
1
8
1
3
1
5
2
2
1
2
7
1
2
1
1
2
5
1
1
1
1
3
2
3
5
1
1
1
1
39
7
4
2
1
2
8
2
3
1
2
1
1
2
1
11
1
1
2
1
3
2
3
1
1
1
1
5
1
2
1
1
2
9
1
1
1
1
1
1
1
1
2
5
1
1
1
1
2
1
1
1
1
1
1
1
20
1
1
6
1
1
1
3
3
1
3
1
1
1
2
1
1
2
2
15
1
1
1
1
1
1
1
1
2
1
3
1
1
15
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
5
5
1
2
2
4
1
3
17
1
1
1
1
1
1
242
1
5
1
1
2
1
1
25
1
1
1
1
1
167
2
2
3
93
17
1
10
28
18
3
1
1
1
1
1
2
1
1
3
3
1
1
1
13
1
1
1
1
1
3
1
2
1
1
2
5
1
1
2
1
2
1
2
1
3
1
6
1
1
32
3
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
5
1
1
1
1
1
1
1
1
1
2
1
1
41
1
4
1
5
1
30
1
10
2
1
1
1
6
1
1
1
1
12
1
1
1
2
1
2
1
1
1
1
1
2
2
1
5
3
1
2
21
1
4
1
11
1
1
2
1
3
1
1
3
6
1
1
1
4
1
1
6
1
9
1
1
1
1
3
181
5
1
2
5
1
9
2
1
1
3
1
1
1
2
1
1
1
1
2
1
4
2
1
2
3
6
1
2
25
1
1
1
1
4
2
1
37
1
1
1
1
70
1
3
1
3
4
1
1
1
2
1
1
1
1
3
1
1
1
3
2
2
1
1
17
2
3
2
2
3
2
5
1
1
1
1
2
1
1
1
1
1154
10370
3
2
2
2
2
1
1
1
9
2
2
1
1
1
1
1
1
1
1
1
54
1
1
1
2
1
4
1
13
1
1
1
1
1
1
1
1
1
1
2
8
1
1
7
1
1
9
1
1
2
2
1
1
2
1
2
435
188
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
12
1
1
1
1
1
1
2
6
1
1
2
1
1
1
2
1
1
2
1
1
1
1
15
3
1
1
1
1
2
1
1
2
3
1
1
1
1
2
9
31
1
3
43
2
1
1
1
1
1
1
1
2
3
1
2
1
1
2
6
1
1
1
118
11
1
3
1
16
1
3
113
1
1
1
2
1
1
20
3
4
9
4
1
1
1
2
1
1
1
1
1
3
1
2
3
3
1
1
1
2
11
1
1
5
6
2
1
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
14
24
1
1
2
2
6
1
1
2
1
1
1
3
1
2
1
1
3
1
1
3
1
1
1
1
1
6
1
2
1
2
1
3
1
18
4
4
1
1
1
1
1
1
10
1
1
1
8
1
1
8
1
1
1
1
1
93
1
1
1
1
1
1
1
1
3
5
1
1
10
20
1
1
2
3
1
1
6
1
82
10
1
1
2
2
1
2
1
101
3
5
1
1
1
2
2
1
1
1
2
1
1
1
1
2
1
2
1
1
6
1
3
1
3
1
1
3
1
8
6
21
1
1
3
1
2
2
1
3
2
1
6
2
3
7
1
4
1
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
3
3
1
5
13
1
1
1
1
1
25
1
1
1
1
1
77
4
3
110
1
1
12
7
1
1
3
140
205
1
36
1
1
4
1
7
13
1
1
1
1
1
5
1
1
1
2
1
32
5
2
2
4
1
1
5
1
1
2
2
2
2
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
162
1
1
10
1
24
2
1
1
15
2
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
9
823
29
5
1
24
1
1
1
2
2
1
1
53
4
8
1
2
4
8
1
1
2
1
1
1
18
1
1
1
2
2
2
3
4
1
3
1
2
1
1
1
1
1
1
1
1
1
1
7
1
2
2
3
1
3
1
1
2
1
14
2
1
2
2
1
1
1
1
2
1
1
1
1
1
2
15
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
6
1
1
1
1
1
2
1
1
1
16
2
4
1
3
1
21
1
3
3
6
1
1
1
1
1
1
1
2
3
4
1
1
2
1
4
5
1
2
1
2
1
1
1
1
2
2
2
1
4
12
2
1
1
2
1
1
7
1
74
8
1
1
1
1
1
7
1
2
1
2
7
1
1
4
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
10
20
1
1
1
5
1
2
1
1
3
1
1
1
1
1
7
2
4
5
1
1
1
1
7
5
4
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
196
4
4
1
1
1
1
2
1
1
1
2
18
3
2
2
3
2
5
60
1
1
1
1
1
1
1
1
1
2
6
1
1
4
18
10
2
1
1
1
1
2
1
2
1
8
1
1
2
1
2
1
2
7
1
1
1
2
1
9
4
32
6
1
23
1
8
1
4
1
3
1
1
8
4
3
4
5
10
19
3
1
1
1
1
2
21
5
3
4
1
3
1
1
4
1
1
1
4
2
12
2
4
1
2
1
1
3
2
2
13
1
2
3
3
7
3
4
40
6
1
1
1
1
1
1
1
11
2
2
2
3
1
1
1
1
1
1
1
10
1
1
2
1
2
1
1
7
1
2
1
1
1
1
2
3
2
7
1
1
9
3
2
2
1
1
1
1
1
2
2
3
2
1
1
2
1
1
3
4
1
1
1
1
1
2
4
2
1
1
1
1
1
4
1
1
3
1
1
2
1
1
2
1
3
1
4
1
1
5
1
2
2
3
1
2
5
1
1
38
1
1
1
3
2
2
1
1
2
8
1
1
10
12
2
1
1
1
2
2
2
9
1
1
10
2
4
1
1
1
1
1
1
1
1
2
1
2
4
14
3
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
14
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
2
1
1
1
1
14
1
37
1
1
1
1
1
3
3
1
4
2
1
5
1
1
1
1
1
1
1
4
2
1
3
1
1
1
1
2
7
1
4
1
2
2
1
1
1
2
2
7
691
205
831
3
1
1
15
1
4
1
6
1
1
2
5
1
1
1
1
1
1
2
2
4
19
59
12
40
1
1
1
4
2
48
32
62
21
9
4
1
1
61
17
4
1
2
53
7
2
4
3
1
2
2
1
1
1
1
1
2
1
2
1
1
1
1
2
2
4
1
4
1
1
1
1
1
2
1
1
4
1
1
3
1
1
1
3
1
10
1
1
6
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
1
1
2
4
1
1
1
2
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
3
2
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
6
2
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
2
2
2
2
1
1
1
1
1
3
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
3
1
2
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
1
2
1
3
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
3
2
1
1
6
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
2
1
1
1
1
1
2
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
6
3
1
2
1
1
1
1
1
1
3
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
3
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
5
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
4
1
1
5
1
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
2
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
6
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
2
4
1
1
1
1
3
1
1
2
5
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
2
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
1
1
2
2
1
3
1
2
1
1
1
1
2
2
1
1
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
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
3
1
139
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
7
1
1
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
3
2
9
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
2
1
1
1
1
6
1
4
3
2
60
1
18
150
66
1
1
1
3
1
1
1
1
2
2
1
142
1
1
2
1
1
34
1
1
2
1
1
2
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
2
1
4
1
5
2
2
1
2
1
1
1
1
1
1
4
1
1
5
4
1
2
2
1
2
3
2
1
7
1
1
2
4
1
1
1
9
1
1
1
1
2
8
1
1
1
1
1
1
9
6
3
1
2
2
10
1
6
1
1
1
6
7
1
1
1
2
6
2
1
1
1
1
384
166
50
1
3
15
7
209
1
1
5
8
5
877
4
1
1
1
3
2
2
134
1
1
1
2
1
1
1
3
2
1
1
3
1
8
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
1
1
1
1
1
1
5
1
2
1
1
14
7
18
3
1
1
6
1
2
19
4
5
1
1
2
1
4
2
9
4
9
6
1
1
1
1
8
1
1
1
1
2
5
1
3
1
1
1
1
180
34
1
27
2
1
5
1
1
1
2
1
2
2
1
1
12
2
2
7
2
2
1
1
1
1
2
4
2
1
1
1
1
1
1
1
3
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
5
1
4
1
1
8
1
1
27
1
1
1
2
2
1
1
1
8
4
4
1
3
1
1
1
1
1
1
1
2
1
1
2
2
2
3
1
1
2
2
1
7
2
1
1
4
4
1
1
1
4
37
1
1
35
1
7
1
1
1
1
13
3
1
1
1
3
2
1
1
1
3
1
13
3
1
3
3
1
1
2
2
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
4
3
1
2
3
1
1
5
94
2
2
1
1
2
3
2
1
1
1
1
1
1
1
7
1
1
1
11
1
1
2
3
1
3
1
4
1
1
1
1
1
20
9
1
1
1
11
6
2
2
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
2
20
5
1
1
3
1
1
2
1
6
2
1
1
2
1
5
1
1
3
2
1
2
32
1
3
1
1
1
2
3
1
1
4
2
1
2
12
4
2
1
1
1
1
1
5
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
4
2
1
1
1
1
22
2
3
1
1
1
1
1
1
1
1
34
9
1
1
1
2
1
1
1
2
1
7
1
1
2
1
10
122
1
1
7
2
2
1
3
4
1
11
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
6
2
1
1
1
3
21
5
2
1
1
1
1
4
1
1
5
1
1
4
4
1
1
1
1
4
1
2
84
2
1
2
2
2
4
6
1
1
5
1
1
1
4
3
3
8
2
2
1
1
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
8
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
2
6
1
1
1
1
1
11
2
2
4
1
1
5
1
1
1
2
2
8
3
12
1
1
3
1
12
1
1
1
1
1
20
7
3
30
1
2
1
1
1
1
2
2
5
1
1
43
26
1
34
25
1
2
1
1
1
1
4
1
1
2
1
29
2
4
3
6
25
2
1
1
1
1
1
1
1
1
3
1
1
2
2
34
6
1
1
1
2
2
3
1
1
1
1
46
2
10
1
3
1
2
2
2
2
1
1
12
1
1
4
13
2
16
1
1
1
1
4
5
2
6
1
1
97
38
39
3
1
1
2
4
1
1051
950
1927
1
1
2
1
2
2
37
46
16
3
4
1
5
6
1
3
12
1
2
1
2
1
3
1
3
2
1
1
7
1
2
4
5
1
2
3
5
1
1
2
1
1
17
10
2
2
2
1
1
1
1
1
7
6
1
1
1
2
5
5
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
2
9
1
1
1
1
1
1
2
3
7
7
2
4
1
4
3
3
1
1
1
2
1
1
1
3
1
3
4
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
7
3
1
1
1
3
1
44
1
1
1
1
3
5
1
1
2
3
1
1
6
1
1
8
1
1
1
2
1
1
1
1
2
2
3
2
2
1
1
1
1
3
1
101
22
1
1
2
5
1
3
1
2
63
1
1
4
56
1
2
1
3
4
1
3
2
1
1
1
2
125
1
1
3
5
1
1
1
1
1
5
1
1
11
1
1
1
1
2
1
3
2
1
3
1
1
1
1
1
1
2
45
3
2
1
56
6
2
1
1
1
1
1
1
2
1
1
1
4
1
25
2
4
1
1
1
2
1
1
1
1
1
1
4
2
2
1
1
2
1
1
1
2
1
1
1
1
4
1
1
1
1
1
4
5
5
1
10
3
1
1
1
1
1
1
1
2
1
10
62
1
2
3
1
1
1
3
12
1
1
4
1
2
1
1
2
1
1
1
1
8
40
6
2
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
15
1
1
1
1
2
1
1
1
5
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
14
1
1
1
1
1
8
1
1
1
1
2
2
1
1
2
1
2
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
6
2
1
2
2
3
1
1
1
1
3
2
14
4
3
1
1
1
1
1
1
1
3
1
1
3
1
12
1
2
2
1
1
6
1
1
2
2
1
11
1
1
1
1
2
1
1
2
1
1
1
3
1
1
4
1
1
1
2
1
2
1
3
3
2
2
2
4
1
1
1
1
1
2
1
1
1
5
2
2
1
1
2
2
4
2
1
1
1
1
4
1
1
1
2
2
7
1
2
2
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
3
6
1
1
3
1
1
2
3
1
1
2
5
2
6
1
3
1
1
1
1
2
4
1
1
1
1
1
1
23
5
1
1
3
2
1
1
2
7
7
2
1
1
1
1
2
1
2
2
1
1
1
2
1
1
3
1
2
1
6
1
1
1
1
1
2
2
2
1
1
2
1
1
14
3
1
2
1
6
9
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
23
1
1
1
2
2
2
1
2
1
12
3
1
1
1
1
2
1
3
1
4
2
2
1
1
1
1
3
1
1
17
2
8
2
2
1
1
1
28
1
1
4
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
3
2
14
19
1
2
1
1
1
3
2
13
6
7
3
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
2
3
1
1
1
1
3
1
2
1
3
1
1
1
1
1
78
1
1
8
8
7
15
1
1
16
1
2
3
2
1
1
2
1
2
1
3
10
1
1
21
1
3
3
2
1
14
2
1
2
1
1
1
28
2
10
1
1
3
1
75
1
1
2
1
1
1
654
487
18
1
1
2
1
1
1
10
46
24
1
4
1
1
2
4
1
1
1
5
1
1
1
1
175
2
1
23
1
1
7
6
1
1
14
4
1
1
1
11
11
1
1
1
1
1
1
1
1
1
6
2
1
4
2
1
3
1
6
1
3
1
19
1
2
1
1
1
4
4
3
1
1
202
106
1
1
1
4
1
19
2
1
2
1
1
1
1
5
1
1
13
1
6
1
2
2
4
5
1
6
2
1
1
1
1
1
1
1
1
1
2
2
1
4
4
2
1
1
1
2
1
1
4
5
1
1
1
3
1
1
2
1
3
1
5
1
1
2
1
1
4
2
1
1
1
4
1
1
2
1
1
14
13
1
1
1
1
9
1
1
1
2
15
20
1
1
1
1
2
5
2
1
1
1
15
2
2
1
3
1
1
4
1
4
1
1
1
1
5
1
3
2
51
1
3
4
23
1
1
3
1
1
1
1
1
4
1
5
61
1
4
2
3
1
1
1
2
1
1
6
12
1
2
1
13
2
1
2
1
3
7
1
3
2
1
1
3
1
1
1
1
1
2
1
2
5
1
1
1
14
1
3
10
3
1
2
6
4
2
1
2
1
4
2
2
1
1
1
1
1
1
2
4
6
2
18
2
1
1
3
1
1
3
1
1
1
1
1
1
1
3
45
5
9
1
1
1
5
2
3
1
10
2
1
1
1
2
1
1
1
2
1
1
129
1
1
1
2
1
1
2
4
1
5
1
1
57
1
2
1
1
3
2
1
11
2
1
58
5
4
5
1
2
1
5
1
1
1
1
7
1
1
3
3
3
1
7
7
1
1
2
9
1
1
3
6
5
1
1
1
1
1
1
89
1
3
1
1
2
1
1
1
2
2
1
1
1
4
21
1
6
2
2
1
2
1
3
1
1
1
2
1
1
4
2
1
4
2
1
1
1
1
1
3
1
1
1
1
4
3
1
2
54
2
1
2
7
1
1
1
1
1
1
19
1
1
1
1
5
5
2
1
1
2
2
5
2
1
2
322
92
10
1
1
1
2
2
1
3
2204
5
1
6
1
24
3
1
4
1
1
54
1
1
2
1
1
3
4
1
1
3
2
1
1
1
1
1
1
3
1
1
1
4
2
1
1
1
1
8
1
1
1
1
1
3
1
1
4
2
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
2
4
5
1
1
1
1
44
1
1
1
1
1
1
2
1
1
2
3
1
1
1
10
1
1
1
3
1
2
2
5
2