1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
8
2
2
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
6
2
2
1
1
2
297
2
1
4
1
1
1
3
4
12
3
2
1
1
3
1
3
1
1
1
1
1
1
1
2
2
2
29
4
2
4
1
4
1
1
3
1
3
2
1
1
19
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
4
2
1
13
1
2
1
10
1
2
2
19
1
1
3
1
1
1
1
1
1
1
10
3
5
4
1
9
1
1
2
3
2
1
1
1
14
1
1
1
1
2
4
7
2
1
1
1
1
1
1
2
90
1
1
3
25
1
1
1
1
2
5
2
4
3
12
1
1
4
1
1
1
1
1
5
2
3
6
2
1
1
8
1
1
1
1
1
1
1
1
2
1
2
9
2
2
1
1
1
3
1
1
1
2
3
1
1
1
3
2
1
1
1
4
1
1
1
1
2
9
1
1
1
2
1
2
1
1
4
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
7
4
1
1
1
1
1
3
1
2
1
5
2
1
1
1
1
1
1
1
13
1
4
2
1
1
1
1
1
1
2
3
2
2
1
1
1
1
1
3
2
1
40
1
1
1
4
2
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
4
1
2
1
5
1
1
5
3
1
1
1
1
2
2
1
1
1
7
1
3
1
1
7
1
1
1
5
1
1
1
3
1
1
16
3
1
2
1
1
1
1
1
5
1
1
1
3
1
1
2
1
1
7
1
1
1
1
1
3
1
1
1
1
2
1
1
1
8
4
1
1
1
1
1
1
2
1
1
1
1
1
3
1
5
1
1
1
1
1
2
6
1
1
2
1
1
1
4
2
1
1
1
1
1
1
1
3
1
1
1
1
6
2
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
17
1
1
1
2
1
2
1
1
4
1
1
2
1
1
1
1
1
1
3
2
3
2
1
1
1
2
1
2
1
1
8
4
1
1
5
1
1
2
1
2
1
1
1
4
1
1
1
2
1
1
8
4
1
1
1
1
2
1
2
1
1
4
1
2
2
1
1
2
3
1
4
1
1
2
2
1
5
1
1
2
1
1
2
1
1
1
2
1
3
1
1
2
1
1
2
1
1
7
1
1
2
1
1
1
1
1
1
7
1
1
3
1
1
1
3
2
2
1
2
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
6
1
1
1
1
1
2
2
1
5
1
4
5
1
4
5
1
1
1
2
1
3
1
2
1
1
1
1
1
3
2
1
6
3
1
1
1
3
2
2
6
1
3
19
2
1
2
1
2
1
6
1
1
1
7
2
6
1
1
2
1
1
1
1
1
7
14
5
3
1
1
1
1
3
2
1
2
1
1
1
1
3
1
3
1
1
1
8
1
1
1
1
1
3
2
1
1
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
36
1
3
1
6
1
2
1
1
5
1
1
1
1
2
2
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
4
2
1
1
3
6
1
1
1
1
1
1
1
13
5
1
6
1
2
1
2
2
1
7
1
1
4
1
1
1
1
11
2
1
1
1
1
1
4
2
1
8
1
5
11
1
3
1
1
1
3
2
1
1
1
1
1
1
2
1
2
1
2
1
88
1
2
1
6
3
2
4
3
1
2
1
1
1
1
2
22
1
1
5
1
1
1
1
1
1
1
2
2
1
15
4
3
1
2
1
2
1
1
1
1
2
1
1
6
6
1
1
2
1
1
1
2
1
1
3
3
3
1
2
1
1
3
1
1
2
2
1
1
1
1
1
2
1
2
1
1
1
1
3
13
1
1
1
14
2
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
8
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
2
1
2
1
3
1
9
4
1
1
1
1
7
2
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
1
1
2
1
3
1
1
1
1
2
2
1
1
4
2
2
2
1
1
1
1
1
2
1
1
2
1
1
1
7
2
2
1
1
1
2
1
3
2
7
1
1
3
2
1
2
1
1
2
1
1
1
1
1
1
7
1
4
5
1
1
1
2
1
1
1
4
2
1
1
4
1
1
1
1
24
2
1
10
2
6
5
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
7
2
5
1
1
3
2
1
1
1
2
2
1
2
3
4
1
1
3
1
1
1
1
1
1
1
17
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
2
2
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
2
6
3
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
2
2
1
1
7
1
1
2
1
1
2
1
1
1
2
1
2
2
1
1
21
2
18
3
1
1
1
3
1
1
1
2
1
4
1
3
1
1
1
1
1
4
1
1
1
2
2
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
2
1
1
2
4
1
2
2
1
1
1
4
2
2
4
1
1
1
1
1
2
1
3
3
1
1
2
23
1
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
2
1
2
1
1
2
1
2
1
1
1
1
3
2
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
4
3
58
4
3
10
1
1
4
1
1
1
1
1
1
1
1
1
13
1
1
1
1
4
1
1
2
15
1
1
2
1
1
2
2
1
2
1
1
1
3
1
2
2
1
2
5
2
4
1
3
3
1
4
2
1
4
1
3
1
1
1
1
3
1
2
2
2
12
3
1
1
3
1
2
1
1
1
1
2
1
1
1
1
7
1
1
2
1
1
1
1
1
17
1
1
1
1
1
1
3
1
4
1
1
1
5
1
2
1
1
14
1
1
2
1
1
3
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
2
5
1
1
1
1
1
1
1
1
1
7
1
3
2
1
2
9
1
1
1
2
1
1
3
1
2
1
3
4
1
2
1
1
1
2
1
2
2
3
1
1
1
1
1
2
2
1
1
2
1
1
6
1
25
1
1
1
3
7
1
1
1
1
3
1
6
1
3
1
1
1
1
2
1
1
2
1
1
1
4
1
1
1
1
2
2
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
15
1
2
2
1
1
1
1
3
1
1
2
1
1
1
11
1
1
1
2
9
1
1
1
2
3
2
2
1
1
1
1
1
1
1
2
1
3
1
1
5
1
1
1
1
1
1
6
1
1
1
2
1
1
2
1
2
1
1
1
4
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
4
3
1
1
4
1
1
3
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
2
1
8
1
1
1
1
1
2
2
2
1
2
1
1
1
7
6
1
1
1
1
1
1
1
2
3
2
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
15
1
15
1
1
1
1
2
1
1
1
2
2
2
1
1
1
2
2
1
1
1
20
1
1
4
1
1
1
1
1
3
16
1
1
3
1
1
3
2
194
3
1
1
1
1
3
1
1
1
1
1
3
1
5
1
8
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
2
2
6
6
1
2
1
2
1
2
1
1
1
1
1
2
1
2
1
2
2
2
1
1
1
1
2
14
1
1
1
1
1
1
1
1
1
2
1
2
4
1
6
1
2
1
1
5
6
1
1
1
1
4
4
1
3
6
1
3
1
3
2
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
3
7
2
1
1
1
1
2
1
2
1
2
1
11
1
2
2
1
11
1
3
2
2
2
1
2
1
2
2
1
1
1
2
1
1
1
4
1
1
1
2
3
1
1
2
1
1
2
1
1
1
1
1
2
1
4
1
2
1
6
1
3
1
1
2
1
1
1
4
2
2
1
3
1
1
1
1
1
8
2
1
1
1
1
1
2
1
4
1
1
1
2
12
1
1
4
1
2
1
1
1
2
1
1
1
1
2
1
1
1
9
10
2
2
32
1
11
1
6
1
1
2
2
1
1
2
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
2
1
1
1
2
3141
1
3
2
11
2
1
1
1
1
2
2
1
2
1
1
1
3
1
2
1
1
2
2
1
1
1
13
1
1
1
1
1
2
1
1
1
1
1
1
3
3
2
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
5
1
1
1
1
1
1
1
1
2
1
4
1
2
2
1
1
1
1
1
1
2
11
1
1
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
1
1
35
1
1
9
3
2
1
2
1
1
2
1
2
1
2
3
1
2
1
2
1
1
2
1
1
1
1
2
2
49
1
1
1
1
1
7
2
1
2
1
1
1
2
1
1
1
1
2
1
1
1
11
1
3
1
1
2
1
1
2
1
1
2
1
1
1
2
1
1
1
2
1
3
1
7
5
1
1
1
1
1
1
1
1
10
1
2
1
2
1
1
4
1
4
9
5
1
1
1
2
1
5
1
2
44
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
2
10
3
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
8
1
4
2
4
4
1
92
2
1
1
2
11
1
5
1
1
1
1
1
2
1
1
2
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
2
3
2
3
1
1
1
1
1
2
6
3
3
1
2
2
1
9
2
1
16
3
1
1
1
1
1
3
5
10
1
2
1
7
2
2
2
1
1
1
1
1
3
1
2
1
1
11
1
1
1
5
1
1
5
5
1
1
1
1
1
1
1
1
13
3
1
2
3
1
1
1
2
23
1
1
1
2
1
9
1
2
1
2
2
1
1
1
1
9
1
2
1
1
1
2
1
2
1
1
8
1
1
1
2
1
2
1
1
1
4
1
1
1
2
1
1
8
2
1
1
2
2
1
2
1
1
2
2
1
1
1
2
1
3
1
2
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
2
2
4
1
9
1
2
1
1
1
2
1
1
1
1
1
1
1
2
2
2
5
5
1
1
8
1
1
1
1
2
9
1
1
1
1
1
9
2
1
5
1
1
1
1
1
1
1
1
1
2
2
4
2
2
1
1
1
1
3
2
1
1
6
2
6
1
1
9
1
1
7
1
1
2
2
1
1
1
1
4
6
4
1
1
1
1
1
4
2
1
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
5
1
1
12
1
1
6
1
2
1
3
1
1
3
4
6
1
3
2
1
2
1
1
1
2
1
11
2
1
22
1
13
1
2
2
1
2
1
1
1
21
3
10
1
1
1
1
1
1
10
1
3
1
1
1
1
1
1
1
4
1
1
5
1
2
1
2
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
6
1
2
2
1
1
2
6
1
1
1
1
3
1
1
2
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
2
2
1
9
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
5
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
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
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
68
1
1
1
1
2
1
1
1
6
1
1
1
1
1
2
1
3
2
1
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
6
1
44
4
16
1
1
2
1
1
2
3
1
1
6
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
4
21
2
1
3
1
1
1
1
2
1
1
1
3
1
4
1
1
2
3
2
2
1
2
1
2
1
2
1
1
1
369
1
1
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
2
1
1
1
6
1
1
10
1
2
2
8
1
3
1
1
1
2
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
3
9
2
1
1
7
7
6
1
1
4
1
1
1
1
1
1
12
1
4
1
1
1
2
1
1
1
4
3
6
2
2
1
1
1
2
3
12
2
1
1
1
1
1
4
1
1
3
1
1
1
3
1
1
6
1
2
1
1
1
1
1
2
1
7
2
1
1
1
1
2
1
4
8
1
10
1
2
1
3
1
4
1
1
9
4
1
1
1
1
1
4
3
3
1
2
1
1
2
1
1
1
3
6
2
1
1
1
1
2
1
1
1
3
1
1
2
4
2
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
2
1
2
1
1
1
5
1
2
2
1
1
2
1
1
1
1
8
3
1
1
1
2
8
4
1
2
8
1
1
1
2
1
7
2
2
2
1
3
1
2
4
1
4
2
4
1
2
1
1
3
5
1
6
1
1
3
1
3
1
1
1
1
1
7
1
1
1
1
7
5
1
1
1
2
1
1
1
1
1
1
1
1
2
4
2
1
1
1
1
1
1
6
2
1
5
3
1
1
1
1
2
2
1
2
2
1
3
2
1
1
1
6
1
1
2
14
11
1
1
1
1
1
1
1
1
2
2
1
6
3
2
1
6
1
1
1
2
6
1
1
1
2
1
3
1
9
1
2
1
1
1
1
2
1
1
1
1
1
3
1
25
4
2
1
2
1
2
3
2
1
2
1
1
1
1
1
1
1
8
9
1
1
1
1
1
2
1
2
1
5
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
5
2
1
1
2
3
2
1
1
1
1
2
1
1
4
3
1
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
2
1
1
4
1
2
2
2
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
14
4
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
2
6
1
1
1
3
3
1
1
1
3
1
15
5
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
4
2
3
1
1
2
1
1
1
2
2
1
2
1
6
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
8
1
4
2
1
1
1
1
5
1
2
2
6
2
1
1
1
1
1
1
2
1
7
10
1
1
1
1
2
7
1
1
2
1
1
2
1
1
4
2
1
5
2
1
1
2
1
1
1
1
1
1
5
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
21
15
3
1
1
1
1
1
1
2
2
4
1
1
1
2
1
2
1
20
1
1
1
1
1
2
1
2
3
1
2
1
1
11
4
1
2
2
1
1
1
5
3
1
2
1
2
1
1
1
12
1
1
1
5
1
1
1
2
2
1
2
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
12
3
1
1
1
7
1
2
1
1
1
1
1
1
8
7
4
1
1
2
2
4
3
2
1
1
1
3
2
1
2
2
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
4
3
8
1
1
1
1
1
3
1
1
1
2
2
1
1
1
4
12
2
2
1
1
6
1
10
1
1
1
1
4
1
2
1
5
1
1
1
1
11
1
3
5
2
1
1
3
1
1
3
1
7
2
2
1
1
2
3
1
1
5
2
6
16
1
1
3
1
1
1
2
1
1
4
1
1
1
4
1
1
6
1
1
1
1
40
3
1
4
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
3
1
1
3
2
1
1
1
2
12
1
1
5
1
2
1
1
1
4
1
1
1
1
1
2
4
1
1
1
1
1
1
1
2
2
1
6
1
1
7
1
1
1
2
3
1
1
9
1
2
7
1
1
1
1
1
13
19
1
1
1
1
2
5
1
1
4
3
6
5
1
1
1
1
1
1
2
2
5
4
1
2
6
2
1
1
2
1
1
2
1
3
2
1
11
1
1
1
1
1
1
1
1
1
11
2
1
2
3
2
3
2
6
1
1
2
11
2
2
1
1
2
2
1
1
1
1
1
31
1
2
1
1
1
7
1
2
2
2
3
1
1
31
1
1
4
1
5
3
1
1
4
1
1
1
1
1
2
3
1
6
2
1
10
1
6
1
1
1
1
5
3
1
2
1
1
1
1
2
3
4
1
1
1
2
3
2
1
4
9
1
1
1
2
2
10
1
8
2
9
3
1
1
10
1
1
9
1
1
7
1
2
2
2
2
1
1
1
1
2
1
1
1
2
1
3
2
1
152
2
2
1
1
1
2
1
1
1
4
1
1
3
4
1
1
1
1
2
3
3
1
9
2
4
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1