10
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
10
1
2
5
1
2
3
1
1
9
6
1
1
1
1
9
1
2
1
1
1
1
1
1
1
742
1
1
1
2
1
18
4
1
2
1
1
1
2
1
1
1
1
1
2
3
2
1
5
4
2
9
1
3
8
3
1
1
1
1
1
1
2
1
1
1
1
1
2
10
1
1
1
1
2
1
1
2
1
4
1
1
1
1
1
2
21
1
3
1
1
1
1
1
1
1
1
13
1
2
1
1
1
1
2
6
1
18
1
3
2
1
2
29
2
1
1
1
1
5
6
1
1
33
2
3
1
1
1
1
1
1
5
4
1
1
1
619
5
1
2
1
1
2
1
1
1
1
1
1
3
1
5
1
19
1
1
1
1
1
1
2
1
1
3
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
2
1
7
1
1
1
12
1
1
1
1
1
1
1
1
1
1
2
2
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
2
1
6
1
6
2
5
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
38
1
3
1
1
8
2
2
1
84
1
1
1
2
2
2
1
1
1
1
2
1
1
1
1
4
1
2
1
1
3
1
5
3
1
1
1
3
3
2
11
1
1
4
1
1
2
1
2
1
1
8
3
1
1
3
1
2
1
1
2
1
3
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
6
1
12
1
1
1
2
1
15
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
2
1
1
1
9
1
2
7
1
1
2
1
1
1
1
1
3
1
1
12
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
4
1
5
3
1
1
2
1
3
8
1
2
1
2
1
6
4
2
2
1
1
1
3
1
1
1
7
1
12
1
5
1
2
1
1
1
1
1
2
1
12
1
1
1
2
1
2
3
194
1
1
1
2
1
1
1
1
1
1
1
13
1
3
1
5
2
1
1
1
1
1
1
1
1
1
3
1
1
2
5
2
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
37
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
13
1
1
1
1
2
3
1
1
1
1
14
1
1
1
1
1
1
3
2
1
18
1
1
2
9
1
1
1
1
1
1
138
1
1
1
1
1
1
1
1
3
2
9
7
2
1
2
4
1
2
1
1
1
1
4
2
4
1004
1
1
1
2
1
7
1
1
1
2
1
1
641
4
1
2
1
1
8
7
4
2
4
2
4
1
1
2
1
2
1
2
1
3
1
6
1
18
1
1
1
4
1
1
6
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
5
2
2
1
1
1
6
1
2
3
1
1
3
7
1
1
1
1
1
9
5
1
3
1
1
2
1
4
45
1
2
1
1
5
1
1
1
4
1
1
1
2
2
3
3
1
1
1
1
3
3
1
1
1
30
3
1
1
2
1
1
2
2
6
1
2
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
5
1
1
5
2
1
1
3
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
2
10
1
1
6
1
1
1
3
1
1
1
4
1
56
1
1
2
55
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
11
1
1
3
1
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
6
1
2
2
1
18
8
1
1
5
3
1
1
1
1
2
1
2
1
1
2
1
3
1
4
2
1
1
1
1
1
1
1
1
1
1
4
2
2
22
1
1
1
1
1
1
3
1
1
1
2
1
1
1
50
1
1
1
1
1
1
1
3
1
2
1
2
9
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
9
2
1
1
1
1
1
1
1
2
26
2
5
2
1
1
1
5
1
1
3
2
1
1
3
1
1
3
1
1
2
1
1
1
3
1
1
1
1
3
1
1
31
25
3
2
3
1
1
1
7
2
1
7
4
2
2
1
2
1
3
1
2
1
6
1
1
5
1
1
1
1
31
1
1
1
1
1
1
1
2
1
1
1
2
3
1
2
2
1
1
1
1
1
1
1
5
1
4
2
2
1
2
1
1
1
1
1
1
1
6
4
1
1
1
2
1
3
1
1
4
25
1
1
1
1
1
1
1
5
7
4
1
1
1
1
1
1
2
7
3
4
14
1
1
9
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
13
1
1
1
1
1
1
1
1
1
1
10
1
2
1
1
1
1
1
2
1
2
2
1
3
3
2
3
2
2
3
5
7
527
1
2
228
1
1
9
1
1
1
1
3
1
2
2
1
1
1
1
32
1
1
1
1
1
1
1
1
3
3
2
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
3
4
2
1
5
1
2
1
1
1
8
1
1
2
4
1
7
1
26
1
1
4
1
1
2
1
10
1
2
1
13
1
1
2
1
1
17
1
6
1
4
1
1
5
1
1
3
1
1
3
3
1
1
5
1
17
1
1
2
1
1
1
1
1
1
1
3
1
2
4
1
2
1
1
1
12
7
1
1
1
1
1
3
1
1
3
1
1
1
1
1
12
3
1
1
8
1
1
1
5
3
1
1
6
1
4
1
1
1
1
1
22
1
1
1
1
6
3
1
2
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
2
1
2
2
2
1
1
5
3
3
2
5
3
2
1
2
2
3
1
1
2
2
2
1
1
1
1
1
1
1
1
2
1
1
8
4
4
1
1
2
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
4
1
1
1
2
1
3
1
1
2
1
2
3
2
4
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
2
2
2
1
1
1
1
11
1
1
7
1
5
1
1
1
4
1
1
1
1
1
1
1
2
2
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
350
3
1
1
1
1
1
2
1
11
1
1
1
3
430
1
1
1
4
1
1
1
1
4
3
1
3
1
3
1
1
1
1
1
2
5
1
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
4
2
1
1
1
1
3
2
1
2
6
4
2
2
1
2
3
1
2
4
5
7
1
1
1
1
2
1
1
5
2
1
1
8
1
2
2
3
1
1
4
1
1
6
1
1
1
1
1
2
1
1
3
2
3
1
1
1
1
4
1
1
1
1
4
20
1
5
1
1
1
1
2
3
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
5
1
2
2
1
2
1
6
23
17
1
1
1
1
6
1
1
1
1
2
1
1
5
5
2
2
1
1
1
9
9
1
2
2
7
2
1
13
3
6
1
14
1
2
1
2
1
1
1
1
1
1
1
3
3
5
1
2
1
2
1
1
1
1
1
1
1
6
5
1
1
2
7
1
1
2
1
2
1
4
1
1
1
1
1
1
1
1
2
1
1
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
2
1
9
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
2
1
1
4
1
1
2
5
1
1
1
2
2
7
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
6
4
23
1
1
2
1
1
1
5
14
1
5
1
1
2
1
1
1
1
1
23
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
2
2
4
4
1
16
4
1
1
1
1
2
2
6
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
5
1
4
1
2
1
1
1
2
2
4
2
2
6
2
1
1
1
3
1
2
1
1
1
1
10
3
1
2
1
1
1
3
2
1
1
1
1
2
1
3
18
2
5
1
1
2
1
1
4
2
1
1
1
1
1
3
3
2
1
6
1
2
1
21
2
1
1
1
1
1
1
1
9
2
1
3
4
2
2
2
1
1
2
3
5
11
1
2
2
1
1
1
1
1
2
1
1
1
3
1
1
2
2
2
1
1
1
1
1
2
1
1
2
2
1
1
4
8
1
1
3
1
1
1
1
14
12
1
1
2
2
2
1
1
1
2
1
1
2
4
1
2
3
2
1
1
1
2
1
1
1
3
2
1
1
1
5
3
2
1
1
1
2
1
1
1
2
2
1
36
2
1
2
1
1
5
2
1
5
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
23
17
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
6
1
10
2
1
1
3
1
3
1
1
2
1
11
3
2
2
2
2
1
1
1
8
2
1
2
4
1
1
1
10
6
3
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
4
3
3
5
1
1
1
2
1
3
1
1
3
1
6
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
2
2
1
1
2
1
1
1
2
1
2
1
1
1
1
8
2
4
1
1
2
1
3
2
1
1
2
1
1
1
2
2
1
13
1
1
1
1
4
1
2
13
3
10
1
1
1
4
63
2
2
1
1
1
1
2
16
1
8
3
1
2
9
9
1
1
1
9
9
4
2
2
1
2
2
6
13
1
1
4
1
1
1
3
1
2
1
1
1
1
1
1
1
8
2
1
1
2
1
1
2
1
1
1
1
1
2
3
1
1
2
1
4
1
1
3
3
1
1
1
1
4
1
2
2
2
1
1
1
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
14
1
1
1
1
3
3
3
2
1
1
1
2
1
1
1
2
1
2
1
1
2
5
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
2
1
3
1
1
12
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
3
4
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
1
1
1
12
1
1
1
2
2
1
1
4
1
4
3
2
5
1
2
1
2
1
6
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
3
17
9
2
1
2
2
1
1
1
1
4
1
2
2
1
1
1
3
5
1
3
3
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
4
1
1
1
3
3
1
1
2
4
1
1
1
1
1
1
1
1
1
6
1
1
1
2
2
1
1
141
3
1
8
2
7
1
1
1
1
3
1
27
1
1
1
1
5
1
2
1
2
2
1
1
1
2
1
1
4
1
1
1
1
1
2
7
1
2
2
2
1
1
5
1
1
3
33
1
16
3
1
3
1
1
1
5
1
3
1
3
1
1
1
2
1
1
2
1
1
3
2
1
1
1
6
1
3
7
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
3
1
1
3
1
1
5
1
1
1
1
1
8
1
1
1
6
2
1
1
2
1
1
1
1
1
1
11
1
1
7
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
2
1
1
1
2
1
3
1
2
1
2
1
1
1
5
1
11
3
20
1
2
1
1
1
2
1
1
2
1
4
2
1
1
2
1
36
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1082
1
1
1
20
1
1
1
1
2
1
1
1
1
2
4
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
11
1
5
4
3
1
1
1
3
2
1
1
2
2
1
1
1
1
1
6
4
1
2
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
9
1
1
3
4
2
1
2
2
3
12
2
4
4
1
1
1
1
1
2
1
1
1
1
2
1
3
1
1
5
2
16
1
2
24
3
1
3
2
2
2
5
1
1
1
1
1
1
3
2
1
2
1
1
1
1
3
28
2
1
1
4
20
1
1
1
2
1
1
1
2
1
3
18
13
5
1
1
27
1
3
2
1
1
25
1
22
1
1
4
2
1
1
2
1
1
1
1
2
1
1
1
13
1
1
2
3
2
1
1
2
1
1
3
2
1
1
3
1
18
1
1
1
1
1
1
6
2
1
1
1
1
3
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
4
1
2
1
1
2
1
2
1
1
4
1
1
2
1
1
1
1
4
1
1
1
1
1
1
4
1
4
1
1
1
1
2
1
7
1
1
1
1
1
1
1
1
1
7
1
8
1
103
1
1
1
1
1
1
1
1
5
2
2
2
1
1
5
1
1
1
1
13
1
1
1
3
2
1
1
3
1
1
1
1
1
1
12
1
1
8
1
2
1
1
1
2
1
1
1
1
1
1
4
1
3
1
1
1
2
1
1
2
1
1
1
2
1
1
2
3
2
2
1
2
9
1
1
1
22
1
2
2
3
1
1
1
1
1
1
1
5
1
3
1
1
1
1
2
6
2
1
1
6
1
7
4
3
3
1
1
1
1
1
1
1
1
2
2
2
1
2
1
1
1
2
1
7
1
1
1
1
192
4
1
1
1
1
6
1
7
1
1
1
1
1
1
2
1
3
1
3
1
1
2
3
2
2
3
2
2
4
5
1
1
1
1
3
1
1
2
2
2
1
1
1
1
1
1
3
4
3
1
1
23
1
1
1
1
1
5
2
2
5
1
2
2
1
1
1
6
1
1
1
3
2
1
1
1
2
1
1
1
3
310
1
2
1
2
2
1
1
1
3
11
1
6
1
1
1
3
1
9
1
1
1
1
2
2
1
1
2
15393
369
1
1
2
4
1
1
1
1
1
2
1
1
1
2
2
4
1
2
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
3
2
2
6
2
45
1
1
1
4
3
1
1
1
1
1
6
1
1
1
1
2
1
3
2
1
1
2
4
1
2
1
3
2
2
1
2
4
1
2
1
2
1
1
3
6
4
2
1
2
3
1
1
1
1
1
3
2
1
4
1
1
4
1
1
1
1
2
1
1
1
1
3
1
9
6
1
2
2
2
1
2
3
1
13
1
1
1
1
2
2
1
1
3
1
1
1
2
1
3
3
1
2
1
1
1
3
1
1
7
2
2
1
1
2
2
1
1
2
3
1
3
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
2
1
4
1
1
1
2
1
1
3
106
2
1
1
1
1
1
1
1
1
2
1
2
6
2
1
16
3
1
1
2
1
12
1
8
1
1
2
1
4
2
1
1
3
2
1
2
3
1
1
5
2
5
2
1
1
2
1
1
1
10
4
1
1
2
4
8
20
3
1
1
1
4
5
2
1
1
1
1
1
11
1
1
2
2
1
4
2
1
3
1
1
1
34
1
1
1
1
2
1
1
1
2
1
7
5
1
1
1
1
4
1
1
1
2
2
3
1
1
8
8
3
2
1
1
1
1
5
1
9
3
1
1
15
1
1
2
1
1
8
1
1
2
6
2
9
2
1
4
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
2
1
28
1
2
3
1
1
169
1
1
1
1
1
10
1
1
2
1
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
27
9
2
8
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
12
1
1
1
1
1
2
1
2
1
2
3
1
1
1
10
1
1
1
1
1
1
2
2
1
1
3
1
15
2
3
3
1
1
4
1
2
1
1
1
1
1
1
5
2
1
1
1
1
3
2
2
3
1
1
1
1
1
2
1
17
1
1
1
1
1
1
2
1
1
1
4
6
1
2
1
4
1
1
7
1
8
2
1
1
2
1
2
2
2
1
2
2
1
1
1
2
1
3
1
1
2
9
4
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
2
1
19
1
1
3
1
2
2
5
1
1
1
1
1
2
1
1
1
5
1
1
12
2
1
1
1
1
1
1
1
2
1
1
1
12
3
1
3
7
1
1
1
4
1
1
1
1
2
1
1
1
1
4
1
4
2
1
1
1
3
1
4
1
2
1
1
2
1
1
2
1
6
1
2
1
1
1
5
1
1
1
1
4
1
2
1
2
1
2
1
1
2
1
1
8
1
2
1
4
2
3
9
1
2
1
1
1
4
1
1
3
1
3
1
1
1
1
1
1
1
443
10
1
1
2
1
1
1
1
1
1
5
1
1
47
1
1
1
1
1
3
1
4
17
1
1
1
2
4
3
2
1
1
1
2
1
1
2
1
2
2
1
1
1
2
1
1
68
1
1
1
1
10
2
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
4
2
4
2
2
1
2
32
1
10
1
1
5
1
1
4
1
13
19
2
1
4
10
1
1
2
1
2
1
2
2
1
2
1
1
1
2
10
2
2
3
2
1
1
1
1
1
1
11
1
1
2
1
1
2
1
1
13
1
1
1
1
1
1
1
2
1
1
1
2
1
16
1
1
1
9
1
2
6
1
2
2
6
1
1
11
2
1
8
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
2
4
6
13
2
1
1
1
1
2
1
1
1
1
2
1
2
1
5
1
6
19
119
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
2
1
2
1
1
2
1
1
1
1
1
1
2
2
2
1
4
1
1
1
2
1
1
1
1
3
2
1
1
1
1
2
54
4
2
1
2
1
1
1
1
6
1
17
1
1
1
1
2
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
4
5
1
1
1
1
1
2
1
1
1
4
5
1
1
1
1
1
1
1
1
9
18
1
2
2
1
1
2
8
2
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
4
1
2
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
2
2
2
1
1
1
1
1
1
2
1
2
2
1
2
2
1
1
3
3
2
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
3
2
1
3
1
1
1
4
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
8
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
4
1
1
1
3
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
2
1
1
1
1
2
1
1
3
2
1
2
1
1
1
1
1
1
1
3
3
4
1
1
1
2
1
1
3
1
2
2
1
1
1
2
1
2
2
2
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
3
2
1
2
1
1
2
3
1
2
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
4
2
1
1
1
2
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
2
1
1
1
1
2
1
1
4
1
2
2
2
2
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
3
3
1
2
1
6
1
3
2
1
1
1
1
3
6
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
3
2
3
1
1
1
1
1
1
1
2
5
3
2
1
1
1
3
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
2
3
1
3
1
1
9
5
4
2
2
1
1
1
1
2
3
2
1
2
1
1
2
1
1
2
1
1
1
1
3
5
3
1
2
1
1
1
1
1
2
1
3
1
1
1
1
2
3
2
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
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
2
3
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
4
1
4
1
1
1
1
4
1
1
2
5
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
2
1
2
2
1
148
1
1
1
1
1
1
3
1
3
2
1
3
1
3
1
1
1
2
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
4
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
2
2
4
2
3
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
2
2
2
1
1
1
1
4
4
1
89
1
18
1
1
1
9
1
3
1
1
1
3
1
1
4
1
1
1
1
1
2
2
1
6
5
2
1
1
1
1
1
1
1
1
20
1
1
1
1
1
2
1
1
8
1
1
2
1
1
1
1
1
1
2
2
5
33
40
1
1
1
1
2
1
1
1
51
8
1
1
1
1
1
1
1
1
1
1
1
3
1
15
10
2
1
2
4
3
1
1
1
1
1
2
12
1
1
2
1
1
1
1
1
1012
12
5
2
3
1
4
1
3
9
2
3
1
1
2
1
1
1
2
1
1
1
1
3
2
3
1
1
1
7
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
22
2
1
1
1
4
1
1
1
1
1
2
2
2
3
1
1
2
1
3
1
1
1
3
3
1
1
6
1
5
4
1
1
364
2
2
1
3
1
1
1
2
7
1
8
2
1
3
1
1
1
1
2
1
1
1
1
4
3
7
1
2
1
4
1
2
4
2
2
15
2
1
1
1
1
4
1
6
3
1
2
2
2
4
1
2
1
1
525
1
3
1
2
1
9
1
14
1
4
1
14
1
1
1
5
2
1
1
1
8
1
1
1
3
1
1
2
1
11
10
1
1
1
2
1
1
1
1
1
2
5
6
2
1
3
2
2
1
1
1
5
2
3
2
9
1
1
1
3
1
2
1
1
1
1
4
4
1
1
1
3
3
2
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
1
1
1
1
2
1
2
2
2
1
2
4
21
1
1
2
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
7
2
1
1
1
1
1
1
1
1
2
2
2
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
2
3
6
1
6
1
1
4
3
1
1
4
2
1
1
2
1
1
1
3
1
1
1
1
1
5
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
27
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
1
4
1
1
1
5
1
1
1
2
1
1
4
1
1
1
2
2
1
1
1
1
1
1
19
1
1
1
2
2
79
42
1
3
1
1
3
11
1
2
1
1
1
1
1
4
1
1
1
3
4
3
2
1
4
1
1
4
3
6
2
2
1
1
2
2
1
1
222
2
1
2
2
1
1
5
1
2
2
1
8
1
4
1
2
4
1
1
21
1
1
5
2
1
2
1
1
3
1
7
1
1
1
1
1
3
1
3
1
2
2
6
2
2
1
1
1
1
1
1
2
1
1
1
16
1
14
1
2
3
1
20
1
1
1
2
1
9
1
1
8
1
2
3
1
1
1
1
7
1
1
2
4
3
1
1
1
1
1
1
1
2
1
2
1
1
2
1
6
1
1
5
2
1
1
1
4
2
1
1
5
1
1
1
1
1
1
1
3
4
1
3
1
1
2
27
2
3
2
2
1
1
1
1
1
3
1
1
1
21
1
10
1
2
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
1
6
2
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
124
3
1
1
1
1
3
1
1
1
1
1
4
1
2
1
2
1
4
1
2
1
1
1
1
3
1
9
1
3
2
1
1
2
1
3
1
1
32
2
1
16
10
1
1
2
1
1
3
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
11
2
5
1
1
2
7
2
2
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
6
1
1
1
1
1
1
1
2
1
1
1
2
67
2
3
1
1
1
1
1
1
1
2
1
20
1
3
1
1
1
1
1
2
2
1
1
2
6
4
1
2
1
1
1
11
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
3
3
1
2
1
1
9
16
2
1
1
2
1
1
7
1
2
1
2
1
1
1
3
2
1
1
1
1
1
3
1
7
1
3
1
20
1
2
5
4
1
9
1
1
10
2
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
2
1
1
2
3
1
3
3
1
1
1
1
2
1
2
1
4
1
1
2
1
4
1
4
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
3
1
4
2
2
1
1
1
1
2
1
3
1
1
1
1
2
6
1
3
15
33
1
1
2
1
1
1
1
1
1
2
3
2
1
6
2
1
1
5
2
1
3
1
2
1
1
4
1
2
2
1
1
2
1
1
1
1
5
4
1
1
2
1
2
5
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
3
10
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
7
1
1
1
2
1
3
2
1
3
6
34
2
1
5
1
1
1
3
1
1
5
2
1
2
1
1
1
1
1
1
4
2
2
1
1
2
6
2
1
5
6
8
1
1
1
2
2
1
1
3
1
1
1
8
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
2
6
1
1
1
1
7
7
1
4
1
1
1
1
1
1
1
1
1
1
6
1
11
6
1
2
1
1
1
1
2
2
5
4
2
1
2
1
2
1
8
1
2
1
1
1
2
1
1
1
3
1
5
60
17
1
1
1
65
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
2
1
1
1
1
2
9
1
2
4
1
2
1
2
1
1
1
3
1
1
1
1
2
1
2
2
1
8
3
2
1
1
1
3
1
1
1
2
1
2
1
2
2
2
1
2
2
1
1
2
1
1
2
1
1
24
4
1
1
9
3
1
2
1
1
1
2
1
3
1
1
4
9
1
1
1
1
8
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
1
2
2
1
1
2
1
5
3
1
1
1
1
1
1
5
1
1
1
2
3
2
3
1
1
1
9
2
1
2
6
2
1
2
1
1
1
1
15
1
2
6
2
2
6
20
1
2
1
1
11
1
8
1
2
22
1
1
2
1
2
1
17
2
1
4
4
2
10
2
1
1
1
2
3
2
1
1
1
2
2
5
5
1
1
1
3
15
2
2
3
1
1
1
3
1
1
1
1
2
1
1
22
1
1
1
1
1
1
4
1
4
1
1
1
1
3
1
1
2
1
4
1
1
1
4
1
1
2
1
3
4
1
3
3
1
1
1
1
3
3
1
1
2
1
2
1
1
1
1
4
1
3
16
5
2
1
1
1
1
1
2
1
2
1
5
2
2
3
14
1
1
5
1
1
3
9
19
137
6
1
1
13
1
4
1
1
3
1
3
1
1
1
1
1
8
1
1
3
6
1
34
2
1
4
1
1
1
5
1
2
3
2
1
2
2
6
1
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
2
1
1
2
1
1
1
9
2
1
1
1
6
2
1
3
4
2
1
1
1
1
1
2
1
2
1
9
1
15
1
1
1
1
2
1
1
3
2
1
1
1
1
2
2
1
2
506
12
5
1
1
4
1
1
1
1
1
1
14
1
1
1
3
1
8
2
1
13
1
1
1
2
1
3
21
4
1
6
1
1
1
1
16
7
4
1
1
1
1
3
1
1
3
4
15
2
25
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
11
2
2
1
1
1
3
2
1
1
