1
1
1
1
2
4
2
1
1
1
1
1
2
1
2
1
1
1
2
2
1
1
3
2
1
1
3
1
2
1
1
1
1
1
1
1
1
3
9
1
4
1
1
1
1
1
1
2
2
2
1
1
1
1
5
1
2
1
3
1
1
1
1
3
2
2
1
1
1
3
294
1
2
1
3
3
1
1
1
1
4
1
2
1
1
25
5
71
1
4
1
1
1
2
1
2
6
1
2
1
1
1
2
6
1
1
1
1
13
1
1
1
1
1
1
1
1
1
6
2
1
2
1
1
7
57
1
3
5
1
1
12
3
12
9
5
1
1
1
1
7
3
1
13
1
3
1
5
1
1
3
1
2
1
4
1
1
1
1
1
1
2
1
32
1
37
1
1
1
1
1
2
4
1
2
1
1
2
1
1
12
6
1
2
2
1
1
1
5
1
1
9
1
1
3
3
1
1
1
8
1
1
1
1
3
1
1
1
1
1
198
1
1
1
3
2
1
3
1
1
5
1
1
1
1080
1
3
1
1
1
1
1
27
1
1
2
4
2
1
4
1
3
1
7
4
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
8
2
1
1
2
1
4
1
1
2
38
14
5
1
1
6
1
3
6
1
5
84
1
2
2
4
1
1
2
10
9
1
2
1
1
1
1
1
2
16
1
1
6
2
1
1
1
1
15
1
1
1
2
1
1
6
3
3
7
1
1
1
2
1
1
2
5
1
1
1
1
1
1
2
364
1
1
1
1
1
2
2
5
1
1
1
1
4
1
2
1
1
10
2
1
1
2
2
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
17743
3
1
1
3
1
1
2
7
1
1
1
102
3
1
1
1
1
1
9
1
2
3
1
2
1
1
1
25
1
10
1
1
7
1
1
2
1
1
1
1
5
1
2
1
2
1
1
1
2
1
1
1
2
18
1
16
2
2
3
2
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
4
1
6
1
1
4
1
1
10
2
1
4
1
1
2
3
1
1
1
1
1
3
3
1
1
1
7
5
1
1
1
2
1
2
1
1
1
1
44
1
1
1
1
2
2
1
2
3
1
2
1
5
1
8
1
3
1
7
2
1
32
1
1
1
1
1
1
1
7
7
1
7
4
3
1
19
2
1
1
1
1
1
1
1
1
1
2
1
7
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
4
3
11
1
1
1
1
3
1
1
22
1
1
1
1
1
1
6
4
1
3
1
1
1
1
1
46
26
1
2
2
4
7
1
1
11
1
2
1
1
3
3
1
1
1
1
1
1
2
1
1
1
2
1
640
1
2
1
8
7
1
1
2
1
1
4
1
2
1099
1
1
1
1
1
5
2
1
3
2
2
1
2
1
1
1
2
2
1
28
6
1
1
2
1
1
2
2
1
2
1
7
2
3
1
2
1
1
1
2
1
2
1
1
5
5
2
52
4
28
10
5
2
1
1
5
4
1
17
1
2
1
5
1
2
1
7
1
5
2
1
4
1
1
3
3
1
1
1
1
1
2
1
1
1
2
1
2
67
1
1
1
1
2
2
1
2
1
1
3
1
1
7
2
1
1
1
1
3
1
1
1
1
3
4
2
1
2
1
1
32
9
2
2
1
3
2
2
11
1
1
5
2
1
2
1
3
89
2
1
1
1
1
2
1
1
1
1
4
1
1
1
3
1
3
1
1
2
1
1
20
7
1
1
2
1
1
1
6
46
1
1
2
1
2
3
2
1
1
1
14
65
2
1
1
1
4
1
1
1
1
1
1
4
2
25
1
1
11
1
1
1
1
1
1
1
1
1
4
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
3
1
27
9
3
3
4
2
1
1
1
1
1
4
1
2
1
1
1
2
1
2
3
2
3
2
1
1
2
1
1
1
1
1
6
1
6
7
1
1
14
1
1
2
1
2
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
338
1
7
1
1
1
1
1
1
1
21
2
15
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
314
3
1
2
1
1
1
1
134
1
1
1
4
8
1
1
1
1
1
1
1
1
5
1
1
1
1
6
2
1
1
24
27
5
1
4
31
11
1
1
1
1
2
1
1
6
3
1
2
3
1
1
2
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
2
16
4
3
27
2
1
1
1
57
1
1
2
1
1
3
3
3
1
1
2
1
1
2
3
6
1
2
5
12
1
1
1
1
10
1
2
4
1
2
4
29
629
8
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
2
1
1
1
2
2
75
1
3
2
1
1
1
1
1
1
6
1
1
1
184
2
1
2
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
2
1
4
1
2
5
1
1
1
1
1
1
15
2
3
1
1
3
1
36
1
1
2
2
1
1
2
1
7
1
1
2
1
1
2
2
1
2
6
1
1
2
1
2
1
1
1
258
1
1
2
1
5
1
2
1
1
1
1
1
1
5
1
1
1
1
1
2
4
13
1
1
1
1
1
25
11
2
1
1
1
4
1
12
5
1
3
1
1
1
2
1
1
1
1
2
8
1
2
1
1
1
1
1
1
2
4
1
1
1
8
1
2
15
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
7
1
4
2
1
1
1
2
1
1
1
1
1
23
1
1
2
2
4
1
3
2
2
13
1
16
1
3
2
1
1
1
4
1
1
1
1
1
1
1
1
4
1
2
1
4
1
1
10
1
1
1
1
3
1
1
2
10
1
1
1
1
1
1
2
1
12
3
3
1
2
6
3
1
1
1
41
27
98
1
1
1
1
3
1
1
2
52
78
4
2
3
1
1
1
15
332
1
1
2
1
1
3
1
2
1
1
1
1
1046
1
279
1
2
1
1
1
1
1
2
64
1
2
15
3
75
1
1
1
1
2
1
1
1
1
16
1
8
4
1
1
1
1
1
1
1
293
1
4
2
1
18
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
4
2
2
1
1
3
1
23
1
1
1
1
6
1
1
3
2
2
2
1
2
1
1
2
1
1
1
1
1
2
1
4
1
3
1
1
1
1
7
2
1
1
2
2
1
1
1
1
2
4
1
5
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
12
1
1
6
1
2
2
2
1
1
1
1
689
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
2
1
1
2
2
1
1
3
2
1
1
1
1
1
1
1
1
11
1
1
1
1
3
1
5
3
1
17
1
4
1
2
1
16
1
1
1
1
1
11
1
2
1
2
1
1
2
2
1
45
3
4
1
1
2
1
1
19
1
2
65
1
3
1
2
4
2
1
2
1
1
2
1
1
1
2
2
3
1
3
1
2
1
5
1
1
1
5
1
35
1
2
2
1
1
2
1
1
1
2
2
1
1
7
1
1
1
1
2
1
100
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
7
1
3
1
1
6
4
7
3
1
1
1
1
1
1
1
3
1
5
2
1
1
1
1
3
1
1
1
1
1
1
1
75
1
2
1
4
1
1
4
4
17
1
12
1
12
1
26
1
1
2
1
1
3866
2
1
1
32
1
16
1
2
1
1
1
3
1
4
2
1
1
1
1
2
176
1
1
1
1
4
5
1
6
1
6
3
1
2
1
1
2
1
1
10
1
1
3
29
16
1
2
1
1
1
1
2
12
4
2
1
1
1
3
1
3
7
6
2
1
1
1
6
1
2
1
1
13
1
1
3
1
2
1
1
1
1
1
2
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
2
3
157
3
1
1
1
2
2
1
1
5
1
1
1
1
2
1
1
1
1
1
3
1
1
4
2
1
1
1
1
1
3
1
5
2
1
1
3
1
1
1
1
30
1
11
1
3
1
1
1
8
1
1
1
1
1
15
5
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
23
4
1
1
2
1
1
1
1
1
1
1
9
1
1
39
4
16
1
1
2
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
2
2
1
1
2
2
2
14
1
1
1
1
12
6
2
13
4
1
1
1
1
1
1
8
1
1
4
1
1
3
1
1
11
1
1
1
1
1
1
1
5
3
12
1
1
2
1
1
1
2
1
28
2
1
1
1
3
1
1
1
1
6
1
1
3
1
2
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
4
1
1
1
2
2
1
1
1
1
1
1
1
2
3
1
2
1
3
1
2
1
2
1
2
1
1
1
1
28
1
1
1
2
1
1
2
1
5
1
1
2
1
1
1
9
16
3
1
2
1
26
1
1
9
1
1
1
2
1
1
1
3
1
1
1
2
1
1
5
2
2
1
1
1
1
1
1
1
2
1
1
1
1
4
3
1
63
2
1
3
1
1
1
2
1
1
2
1
2
1
1
1
2
7
1
1
1
1
1
1
762
1
2
1
1
4
1
1
25
1
1
68
1
5
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
5
3
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
1
1
1
3
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
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
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
3
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
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
69
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
2
6
1
2
1
1
1
1
1
1
1
5
2
1
1
1
1
2
1
5
1
2
3
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
4
1
47
1
1
1
344
2
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
2
1
1
2
7
1
1
7
1
1
1
1
1
1
10
1
1
1
2
3
1
1
1
1
2
1
1
1
2
2
1
4
2
2
2
1
1
7
3
1
1
1
4
3
1
1
1
1
2
2
2
29
1
1
4
5
6
1
1
1
1
1
2
1
2
1
3
1
1
1
3
1
15
2
1
1
5
1
6
1
1
1
1
1
6
1
3
31
14
22
6
1
1
1
3
1
1
1
4
4
1
1
2
1
1
1
1
64
1
1
1
1
1
2
1
4
1
2
1
7
1
1
1
1
1
1
1
1
2
1
1
1
1
1
6
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
2
1
1
2
1
1
1
1
1
16
2
1
1
3
1
1
3
1
1
2
1
1
1
1
1
6
1
1
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
5
1
1
2
2
1
1
1
1
1
2
1
1
1
4
2
2
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
11
18
14
7
5
1
1
1
4
2
2
1
1
31
10
1
3
1
3
2
2
1
70
1
3
4
3
7
2
2
1
4
1
1
1
5
2
5
1
3
2
2
1
1
1
3
1
1
1
1
1
2
6
1
3
1
43
1
2
1933
1
1
3
26
8
1
2
1
2
1
2
1
2
3
1
11
2
1
1
3
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
3
1
3
1
5
1
2
1
17
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
45
2
2
1
1
2
1
1
1
1
8
6
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
2
1
2
1
1
1
3
2
1
1
1
4
3
2
1
1
1
1
1
11
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
6
1
1
2
1
3
1
5
1
1
1
1
1
2
1
9
1
1
1
1
1
2
1
2
1
5
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
4
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
13
1
2
2
1
1
2
1
3
1
1
1
1
1
1
2
2
1
2
2
1
1
1
2
3
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
2
1
4
1
2
3
2
1
1
1
1
1
3
3
4
1
1
1
1
1
1
1
1
1
2
1
3
1
26
1
24
2
1
2
2
1
1
2
4
5
1
2
1
1
1
1
1
1
1
1
2
3
10
17
2
5
1
1
1
1
1
1
2
5
1
4
1
1
5
1
2
1
17
1
2
1
1
5
2
1
5
13
3
1
1
1
1
1
1
1
3
4
1
11
1
2
2
2
1
1
1
1
1
1
1
1
3
1
1
1
4
1
2
2
4
22
1
1
1
2
1
2
1
1
6
31
1
1
1
1
1
2
1
2
1
1
3
22
7
1
1
3
1
3
4
1
1
18
1
1
1
1
1
1
1
1
1
1
1
2
10
1
3
2
27
1
1
1
1
3
1
1
1
3
5
1
1
1
2
2
1
1
1
2
2
2
1
1
8
1
1
1
1
1
1
2
1
1
1
2
2
2
1
4
2
1
1
3
1
6
1
14
1
4
1
1
1
1
1
86
1
1
45
4
1
1
1
1
1
1
1
1
1
1
30
2
1
1
1
1
1
1
6
2
1
1
1
1
3
1
