1
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
2
4
1
1
1
1
2
2
1
2
5
1
1
1
1
1
1
3
10
1
1
1
1
1
1
1
1
3
1
1
2
1
61
1
1
1
2
8
1
3
1
1
1
1
1
1
2
1
2
1
8
2
1
1
1
1
1
2
1
3
1
2
1
1
1
1
2
274
1
1
1
1
1
1
1
1
3
9
2
1
5
1
1
1
9
2
50
1
1
1
1
1
4
1
1
1
4
1
1
1
3
5
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
3
1
2
4
7
1
1
1
1
1
1
1
7
52
1
1
6
1
1
1
3
1
1
1
1
1
1
3
4
1
1
2
1
1
1
3
2
2
8
2
8
1
1
4
4
2
1
3
2
2
1
8
35
3
37
1
1
1
4
1
2
1
1
1
1
13
9
1
4
1
1
2
1
1
1
1
1
1
1
1
6
1
2
2
1
1
10
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
8
1
1
3
4
1
1
1
2
1
2
4
1
1
1
1
1
2
1022
9
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
26
1
1
1
3
1
1
1
2
1
1
1
1
1
1
7
6
2
5
1
2
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
10
1
1
1
1
1
1
33
1
1
1
2
4
1
1
4
1
1
1
2
6
1
3
6
1
1
1
1
1
1
2
47
2
1
5
2
1
2
5
1
1
5
3
1
2
1
3
22
4
1
3
1
1
1
1
17
3
1
4
1
2
1
1
2
1
1
6
3
3
5
1
1
1
1
1
1
1
1
6
1
2
1
3
1
1
1
1
369
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
7
1
3
1
1
1
1
1
2
1
1
2
3
1
1
1
2
2
1
36
2
2
1
1
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
17754
57
1
6
2
1
3
1
2
8
1
1
99
1
1
1
1
10
1
1
1
3
1
1
4
1
3
1
1
1
1
1
15
2
1
1
1
4
9
1
1
10
1
2
3
1
1
1
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
3
3
3
1
1
1
1
1
25
2
4
2
1
1
1
1
3
1
1
1
21
2
3
2
1
2
2
2
1
1
1
1
1
1
2
5
1
1
1
1
1
2
1
1
1
1
3
1
6
1
2
2
1
1
1
1
1
1
7
1
1
1
1
1
2
1
1
1
4
2
1
1
2
1
4
1
1
1
1
1
2
2
5
5
1
1
1
1
9
1
1
1
1
1
4
1
1
49
5
1
1
3
1
1
3
2
1
1
2
1
3
1
4
1
2
1
13
30
1
2
1
1
1
1
1
1
12
6
2
1
3
4
1
1
1
4
7
2
2
2
1
1
1
2
1
2
2
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
4
1
2
1
1
1
2
1
1
2
1
1
2
8
4
1
3
1
3
18
3
1
1
1
1
1
7
4
1
1
1
2
1
1
2
1
2
2
40
18
1
16
1
1
1
2
1
1
1
7
5
1
8
3
1
7
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
571
1
1
1
1
1
12
2
3
1
2
2
1
1
1
1
1
1107
1
1
1
1
1
2
1
2
2
2
1
1
1
1
1
1
1
2
1
1
2
1
2
7
1
1
1
3
1
3
1
1
11
7
1
1
3
1
1
1
3
1
2
1
1
1
4
1
1
1
1
3
1
2
1
1
3
1
6
1
3
28
1
1
1
1
2
29
10
4
5
3
5
4
2
5
1
2
1
12
1
1
2
1
1
1
1
1
1
2
3
3
1
1
5
2
2
3
3
1
1
2
1
5
1
3
1
1
1
5
1
2
1
3
1
32
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
8
9
1
5
3
2
3
1
9
6
1
2
1
69
2
2
1
2
1
1
2
1
1
1
1
3
1
1
16
8
2
1
1
1
2
2
2
1
7
1
2
8
3
1
1
4
9
1
1
1
1
1
1
1
1
1
1
9
1
2
1
51
1
1
1
3
1
1
1
2
1
1
1
4
1
1
13
1
1
2
1
1
11
1
2
6
7
2
1
1
2
1
1
2
1
2
2
1
1
1
1
5
1
1
2
3
1
1
1
1
1
2
1
1
29
1
11
2
1
3
6
3
3
1
2
1
1
1
3
1
1
1
1
2
1
2
2
1
1
3
8
3
2
1
1
5
1
1
1
24
1
1
1
1
1
2
1
1
1
1
1
2
1
4
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
279
3
1
1
1
13
4
1
1
2
1
2
24
10
1
10
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
1
1
1
1
2
351
2
6
1
1
1
1
1
1
1
75
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
2
7
3
1
1
1
4
5
1
34
1
19
4
1
2
1
20
2
1
1
1
1
1
1
1
3
1
2
12
2
2
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
2
2
2
1
1
2
1
3
29
1
1
63
1
3
1
1
1
1
1
2
6
3
2
1
1
1
1
1
1
2
1
4
2
3
5
19
1
4
6
1
1
1
1
1
1
1
1
1
3
1
3
6
1
1
5
42
674
5
1
1
1
1
2
1
2
2
1
13
2
1
1
1
5
2
1
1
1
2
1
1
2
1
5
1
1
1
1
1
78
1
1
1
1
1
2
1
15
1
1
1
1
1
155
3
1
2
1
2
1
2
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
4
5
1
2
2
1
2
1
18
1
5
1
2
2
1
3
1
22
3
2
1
1
3
2
1
1
1
3
1
2
1
1
1
2
2
1
1
1
1
1
1
1
2
2
2
293
3
1
5
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
10
8
1
1
1
25
10
1
1
2
1
1
3
1
6
1
27
12
3
1
1
2
1
5
2
2
1
1
2
2
1
1
1
6
5
2
1
1
1
2
1
1
3
1
1
1
1
5
1
3
14
1
1
1
1
1
1
1
3
1
3
2
1
12
1
1
2
1
1
1
4
1
3
1
1
1
1
1
2
2
4
2
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
2
1
1
2
2
1
26
2
1
2
3
5
1
2
1
1
1
5
2
12
2
1
2
1
1
1
2
6
1
2
6
1
3
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
8
10
2
5
2
1
1
1
10
14
2
4
1
2
1
5
5
1
1
2
2
1
28
36
135
1
1
1
1
35
63
1
1
2
2
1
1
1
9
16
1
347
3
3
9
1
1
1
1
2
1
1
1
1047
1
1
1
2
244
1
7
2
2
5
1
2
91
1
1
9
1
1
85
1
1
1
1
1
1
15
4
1
1
1
1
1
3
1
2
5
1
1
13
2
2
1
1
1
1
3
1
2
9
1
2
2
1
1
1
1
1
2
1
1
51
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
2
4
1
1
1
1
4
1
1
1
1
1
3
2
1
4
2
1
1
1
8
1
1
1
3
1
3
1
1
1
2
1
1
1
2
1
340
1
2
4
3
1
1
1
1
1
1
1
1
8
2
3
1
1
1
1
3
1
1
1
3
1
851
2
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
2
1
2
11
3
1
1
1
4
1
3
5
1
18
1
2
1
1
1
7
1
1
15
1
1
1
1
6
1
4
1
1
1
2
15
8
1
1
1
4
4
1
1
1
24
2
1
1
36
1
1
1
2
1
7
1
2
1
2
1
3
1
1
2
5
2
1
3
1
1
3
1
1
1
2
3
2
6
2
1
2
1
1
1
7
2
48
1
2
3
1
1
4
1
3
2
1
1
2
2
11
1
1
1
2
2
1
2
1
2
1
1
6
54
1
1
1
2
1
1
2
1
1
1
1
1
3
1
7
5
1
16
1
3
1
3
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
4
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
6
3
1
1
4
1
1
1
2
1
2
2
1
2
1
1
1
1
2
9
3
1
4
1
1
1
1
2
1
1
1
2
1
1
3
3
1
1
1
1
66
1
2
3
1
2
1
3
11
1
6
1
57
1
18
2
9
2
2
2
1
1
1
3784
1
1
1
27
25
1
2
1
1
1
6
1
2
2
1
2
2
2
2
4
1
1
1
176
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
2
1
6
1
1
8
3
1
1
1
4
1
1
3
1
1
1
1
1
8
2
1
4
1
50
3
10
13
1
1
3
1
1
1
1
2
1
1
1
1
6
2
2
2
3
1
1
2
1
1
5
3
1
10
1
1
12
1
3
4
2
1
1
1
1
20
1
1
1
2
2
1
1
3
1
1
2
1
1
1
2
7
1
1
1
1
1
2
1
1
2
4
2
1
2
1
1
1
1
1
1
1
1
133
2
1
1
1
1
1
4
2
3
1
1
1
1
1
1
1
3
1
5
2
2
1
4
1
1
1
3
2
1
1
3
5
2
1
1
26
2
9
2
1
1
1
1
12
2
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
3
1
36
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
5
11
2
19
3
1
1
1
1
9
1
1
1
2
1
1
1
1
1
1
1
1
2
1
4
1
4
1
2
1
1
1
1
2
1
1
2
1
2
2
1
8
1
2
1
1
1
12
5
3
1
1
1
12
11
1
1
2
2
1
1
1
1
1
2
6
1
5
2
1
1
10
8
1
1
1
1
1
1
1
15
1
1
1
3
1
2
1
1
2
25
1
1
1
2
2
1
2
2
1
5
1
1
1
1
3
3
2
1
1
1
2
5
1
1
5
3
1
1
2
1
1
1
2
1
3
1
3
1
1
1
1
1
1
19
1
2
1
1
2
1
4
1
1
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
3
1
3
1
1
4
2
1
3
1
2
4
3
21
2
4
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
6
1
4
1
3
6
1
2
3
1
2
1
5
1
1
1
1
2
1
2
1
1
1
1
3
1
2
3
1
1
1
1
1
1
2
1
1
2
4
3
1
60
1
8
1
1
2
1
2
2
3
1
1
1
1
2
1
3
2
7
1
780
1
1
1
37
1
2
63
2
7
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
2
2
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
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
2
1
2
1
2
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
2
1
3
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
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
2
1
1
1
1
76
1
2
1
1
1
1
1
1
1
1
1
1
4
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
2
1
1
1
1
3
1
1
1
2
1
6
1
2
2
1
1
1
3
3
1
1
1
1
1
5
1
1
4
5
1
1
1
2
1
1
1
1
1
1
2
1
1
1
6
1
1
1
1
3
1
1
42
1
2
1
1
353
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
2
38
2
1
6
1
10
1
1
1
1
1
1
6
1
2
1
3
3
3
2
1
4
1
1
6
1
1
2
1
2
5
2
1
1
1
1
5
2
1
1
1
2
1
10
2
3
22
1
1
1
1
13
1
2
1
1
3
5
1
2
1
1
1
1
1
3
1
3
1
1
4
6
1
6
1
1
1
2
1
7
1
2
2
9
1
1
8
8
24
1
3
6
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
2
2
2
55
1
3
1
2
1
1
1
1
2
1
2
1
9
7
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
2
5
9
1
2
6
2
3
1
1
2
1
1
13
1
1
1
1
1
1
1
1
1
1
6
1
2
2
1
5
123
1
1
2
1
1
1
2
2
1
2
1
1
2
1
2
3
1
2
3
1
1
1
2
2
1
1
1
5
1
1
2
1
1
4
3
10
3
1
1
1
1
1
2
3
1
3
2
1
1
2
1
1
1
1
1
1
1
2
7
1
1
9
10
10
1
3
3
1
1
7
1
1
2
4
4
1
2
27
9
2
2
2
5
1
1
2
1
63
1
1
3
1
1
36
2
1
1
3
1
1
2
1
1
1
1
1
11
4
4
4
1
3
1
1
6
12
4
1
3
1
16
2
1
1
1
1
5
1
41
1
2
1934
3
1
1
1
10
6
1
4
1
1
1
1
1
1
1
11
2
2
18
3
1
5
1
1
1
1
1
3
1
1
1
1
5
1
1
2
1
1
3
42
1
1
1
1
1
1
1
2
3
1
1
1
1
1
8
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
3
1
1
4
3
1
34
1
1
3
1
1
1
1
1
1
1
2
1
5
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
3
1
2
1
1
1
1
21
1
1
4
2
2
1
2
1
1
6
1
2
1
1
2
1
1
1
1
1
3
2
1
1
1
3
1
2
1
1
1
4
2
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
7
3
1
2
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
2
1
2
1
1
1
1
1
4
2
3
1
1
2
3
1
1
1
2
1
5
1
1
1
2
4
1
2
1
1
1
12
3
2
1
1
1
1
2
3
3
2
1
1
1
6
1
1
1
1
1
2
3
1
2
2
1
3
2
1
1
1
1
1
1
5
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
2
1
1
1
2
1
1
1
3
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
6
3
1
40
2
1
1
15
1
2
3
1
2
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
4
1
1
1
1
2
8
2
1
11
7
1
1
1
1
1
1
1
1
6
1
1
1
2
1
6
1
2
1
1
1
1
1
2
1
4
4
4
6
2
5
2
1
3
1
2
1
1
3
1
1
1
1
2
1
2
2
1
1
1
1
4
4
1
20
3
2
1
1
1
1
1
1
5
25
1
1
1
1
1
8
1
1
3
1
1
1
3
6
27
3
3
1
1
1
1
1
1
1
4
1
1
3
3
1
1
2
11
1
3
2
5
1
1
1
1
8
1
1
1
2
1
20
2
1
3
1
1
2
2
5
1
9
2
1
2
3
1
27
1
1
1
1
2
1
1
2
1
1
4
4
4
3
2
3
2
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
3
1
3
1
2
1
1
2
1
1
6
1
17
1
7
1
1
1
1
94
1
1
2
2
2
48
1
1
2
2
1
1
1
2
2
1
2
2
3
23
4
1
1
1
1
2
1
1
1
1
1
4
1
3
1
1
1
1
1
2
1
3
