2
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
6
1
3
1
1
1
1
1
2
1
14
1
1
1
1
1
1
1
5
1
2
23
4
1
1
1
1
1
4
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
3
1
2
2
1
2
1
2
1
1
19
2
1
1
1
2
1
1
1
1
1
3
1
11
1
1
1
3
11
4
1
10
1
1
1
1
1
2
1
2
2
3
3
1
4
1
1
4
3
1
1
2
1
6
1
1
7
2
1
1
12
1
1
1
4
1
2
1
1
13
2
1
2
1
1
1
6
5
1
1
1
1
2
2
2
1
3
2
1
2
2
1
1
1
1
1
1
1
1
2
6
1
1
2
4
3
1
11
1
1
7
2
22
20
1
3
2
1
1
2
1
2
2
4
1
4
2
1
1
1
27
1
1
2
1
1
1
3
1
22
1
1
1
1
10
5
2
4
1
1
17
2
1
2
1
2
1
1
2
17
1
1
1
18
1
1
2
1
6
1
1
1
1
1
3
1
11
1
6
3
1
1
1
2
1
1
3
1
2
1
8
2
1
1
1
2
3
1
1
1
5
1
1
1
1
1
2
3
2
3
1
1
1
2
1
1
1
1
1
1
29
2
1
1
1
1
6
1
1
8
1
1
2
2
6
1
1
15
1
1
1
1
2
1
2
2
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
8
1
2
3
2
2
1
1
1
1
1
1
33
3
1
1
1
1
4
1
1
1
1
1
1
5
1
2
1
4
1
2
3
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
3
1
14
2
1
1
1
1
1
1
2
1
1
3
1
1
4
1
3
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
3
2
6
1
1
1
1
5
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
9
2
3
6
3
19
1
3
1
1
1
2
5
1
2
1
4
1
5
1
1
1
10
2
1
2
1
2
1
2
1
1
1
1
1
1
3
2
16
4
1
1
1
2
2
1
2
2
2
1
1
1
2
1
3
3
1
1
1
1
1
3
1
1
1
1
6
2
17
1
1
1
2
3
1
2
1
1
3
1
3
1
2
1
2
1
1
2
4
7
1
1
1
2
1
3
3
1
12
1
1
1
1
1
1
1
2
1
12
1
3
1
1
3
1
1
1
2
2
1
1
1
1
1
2
1
12
1
1
1
1
1
1
1
1
2
3
1
2
2
1
11
1
4
1
1
3
1
1
1
1
5
1
2
1
1
1
3
3
1
2
1
1
4
1
1
1
1
1
1
3
1
1
2
1
5
3
1
1
1
1
2
1
1
1
2
1
1
11
3
1
1
1
1
9
176
1
1
1
1
1
2
1
1
1
3
3
6
2
2
1
1
1
1
2
1
3
1
1
1
3
15
1
3
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
5
1
4
5
1
1
1
2
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
2
4
1
1
2
1
2
1
3
1
3
9
1
2
1
5
1
1
1
1
1
1
1
2
2
2
4
1
1
1
1
1
2
2
3
1
1
3
1
1
1
1
1
1
2
4
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
2
1
4
4
1
1
3
1
1
9
1
1
2
2
4
13
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
3
1
1
2
1
1
15
2
1
1
1
10
4
1
2
6
2
5
3
1
4
2
1
1
1
2
1
8
3
1
1
1
1
1
3
3
1
3
1
1
1
1
2
1
3
1
1
2
12
2
8
3
2
1
1
8
1
1
2
2
3
1
2
2
1
2
1
1
1
1
8
9
2
1
1
2
1
1
1
1
8
5
2
4
4
1
1
2
2
1
3
6
3
1
1
1
1
2
3
3
1
2
1
1
1
1
2
3
1
1
1
3
7
1
2
7
1
5
1
2
5
2
1
2
3
5
1
3
1
1
6
2
3
19
1
2
1
1
1
1
2
2
1
2
4
1
1
1
1
1
1
1
2
1
1
1
1
4
1
2
1
1
9
1
5
6
1
1
1
1
1
2
1
2
1
4
1
1
6
1
1
1
1
1
1
3
1
5
1
1
10
1
1
1
1
2
1
4
1
1
1
1
1
1
3
1
1
1
1
2
1
2
1
2
2
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
2
6
1
1
1
2
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
4
1
1
1
2
1
2
2
1
1
1
1
1
1
1
2
3
1
1
1
2
2
2
1
1
1
3
1
3
2
2
7
1
1
1
1
1
3
12
7
1
5
5
1
3
1
1
1
1
1
3
1
2
2
1
2
2
6
1
1
1
2
1
1
1
1
1
1
1
2
2
6
3
1
1
2
2
3
1
1
8
1
3
1
1
1
1
2
1
1
3
1
1
2
1
1
2
1
1
1
1
4
2
2
1
6
6
2
1
1
2
1
1
1
2
1
2
10
2
1
1
1
2
2
11
3
7
1
1
2
1
1
3
1
4
1
11
3
1
2
2
2
1
1
1
1
1
1
2
4
2
1
1
1
1
3
3
8
4
2
1
1
1
1
1
1
2
5
2
3
9
1
3
1
1
1
3
1
1
1
6
1
2
4
1
2
1
1
1
1
1
8
1
1
2
1
1
1
1
1
4
1
3
3
3
6
2
2
4
2
5
1
5
1
3
1
24
1
1
1
1
1
4
1
1
1
1
1
1
2
1
5
1
1
1
1
1
15
1
4
1
1
1
2
1
2
1
2
1
4
3
2
1
1
10
5
3
1
2
1
1
1
2
1
2
3
35
1
1
1
1
1
9
1
4
1
1
1
2
1
1
1
1
3
1
1
1
3
2
8
2
1
1
4
1
3
1
3
1
1
2
1
2
4
3
2
1
2
2
3
1
1
1
1
1
1
1
2
3
1
4
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
4
1
2
1
2
1
2
2
2
12
1
1
2
2
2
1
2
2
1
7
1
1
1
1
1
1
2
43
2
1
1
1
1
1
1
1
1
1
1
1
1
1
6
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
3
4
7
1
28
1
1
2
1
1
1
2
1
1
1
1
6
2
3
1
1
1
1
1
2
2
1
2
1
3
1
2
4
16
1
1
1
3
1
2
4
1
2
1
2
1
1
1
3
1
1
1
1
11
1
3
2
4
1
1
1
1
2
1
3
1
6
5
2
1
1
5
1
3
1
1
2
1
1
1
6
2
2
1
13
1
1
1
1
3
1
1
1
1
2
1
1
2
1
2
2
5
1
1
2
1
1
1
1
1
6
1
4
1
1
2
1
5
1
1
1
1
1
3
1
4
2
1
1
1
2
1
1
2
3
3
1
1
5
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
3
1
1
1
1
1
3
2
1
1
1
1
2
1
2
2
10
5
1
1
2
2
2
2
1
1
2
1
3
1
1
6
1
2
1
81
1
1
1
1
2
3
1
1
2
1
2
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
8
1
1
1
1
5
6
5
1
1
1
5
3
2
6
2
1
1
1
1
1
2
1
4
2
1
1
1
1
1
1
1
1
12
1
1
10
4
2
5
5
1
5
1
2
2
6
1
1
1
1
3
1
2
8
2
6
6
1
1
1
1
2
1
2
2
9
1
1
1
1
1
1
13
2
1
8
1
1
1
1
2
1
1
2
1
1
1
3
1
5
3
6
1
1
1
1
35
3
1
2
2
1
1
1
1
1
1
1
4
1
1
6
1
10
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
4
1
1
3
5
1
1
1
1
1
2
1
1
2
1
1
1
7
2
3
2
1
1
1
2
1
3
1
2
1
1
1
1
2
3
13
1
1
1
1
2
4
1
1
1
1
1
2
3
4
3
1
3
1
1
2
1
1
1
4
1
8
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
4
1
1
2
1
1
2
1
1
1
1
2
2
1
1
3
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
2
2
1
1
2
8
1
9
1
1
1
5
1
1
1
1
1
1
2
2
2
1
4
1
1
2
1
1
1
1
5
1
1
4
1
1
1
8
11
3
1
1
1
2
1
1
1
3
1
1
1
1
2
2
1
2
6
9
2
1
1
1
1
1
2
10
1
4
1
1
1
2
2
1
1
1
1
1
1
1
2
7
1
5
1
3
5
2
1
1
2
1
2
8
2
1
2
8
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
2
1
3
1
17
1
2
2
2
1
2
1
3
2
1
1
4
1
1
2
1
1
1
2
1
1
1
1
1
1
32
1
1
2
2
1
1
1
1
1
1
5
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
2
1
3
5
1
1
2
2
2
1
1
1
1
1
2
1
2
22
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
20
5
1
1
2
1
2
7
2
1
3
1
1
1
4
1
2
1
1
5
1
1
1
2
1
2
1
1
1
1
2
11
1
1
4
4
1
2
2
1
1
1
1
2
1
1
1
1
2
3
1
2
1
1
1
1
11
1
1
1
1
9
4
1
1
1
1
4
1
5
29
23
2
1
1
2
1
1
2
3
50
3
3
1
2
2
1
1
2
6
2
1
2
1
1
1
1
3
10
2
1
20
1
1
1
1
1
3
1
1
2
2
1
2
1
2
3
1
1
1
1
3
6
3
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
4
3
1
1
3
1
2
1
1
2
11
2
3
10
1
6
1
6
3
1
2
1
2
6
3
1
3
1
1
1
2
2
2
1
6
1
1
2
1
1
1
2
1
1
1
1
9
1
8
1
1
2
2
1
7
3
1
1
1
1
2
5
1
1
20
1
5
9
2
1
1
1
1
1
19
2
11
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
10
5
1
1
1
3
3
1
2
3
6
1
1
1
1
1
1
4
7
2
5
1
7
1
1
1
2
2
1
1
30
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
5
1
2
2
1
2
1
1
1
1
5
2
6
1
1
1
6
5
2
6
1
1
1
1
1
1
1
2
1
10
1
1
1
2
4
1
10
1
2
3
1
1
5
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
5
1
1
1
2
1
46
1
1
1
3
2
1
1
1
1
1
1
2
3
3
1
7
1
1
1
1
61
4
6
10
1
6
1
1
1
2
1
1
1
2
1
1
3
1
2
2
1
1
1
1
2
1
2
1
3
1
3
1
8
1
1
5
2
5
1
1
1
1
1
1
2
1
1
4
1
3
1
2
1
2
5
1
2
1
1
2
1
1
1
5
1
1
1
1
25
5
7
1
2
1
2
1
1
3
5
3
1
1
2
3
1
1
1
1
45
1
1
1
6
1
1
1
1
2
3
1
2
1
5
4
3
3
1
3
1
1
2
1
2
3
2
5
2
1
1
2
2
1
1
2
1
1
1
5
1
2
1
1
1
2
1
1
1
2
2
2
1
1
3
1
1
1
3
3
1
1
1
1
2
1
5
1
3
4
1
2
2
6
3
1
2
1
2
4
1
1
1
1
26
2
3
1
1
3
2
3
41
6
1
1
1
2
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
1
1
4
1
1
1
1
1
1
4
1
1
1
2
1
1
3
2
7
1
1
1
5
1
1
1
1
3
1
12
3
1
1
1
7
1
12
3
1
1
1
1
2
1
1
1
1
3
1
1
6
1
3
4
1
8
1
1
1
1
2
1
1
1
2
2
2
1
1
1
3
4
2
1
1
2
1
2
1
1
1
1
1
1
1
4
1
2
1
3
1
2
1
1
1
2
2
2
1
5
2
2
1
1
2
1
1
1
2
1
2
2
1
1
1
4
7
3
2
1
6
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
2
1
4
1
3
1
2
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
26
1
1
1
2
1
1
1
1
3
2
1
2
2
1
1
1
3
1
1
1
2
1
1
1
2
21
2
1
2
1
1
1
2
1
1
8
1
3
7
2
1
20
3
1
3
1
2
1
1
5
2
1
1
1
1
1
1
1
1
2
1
1
11
1
2
2
1
1
16
63
1
8
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
10
2
25
1
6
1
1
1
6
6
1
1
1
1
3
1
2
1
5
4
3
1
3
4
1
2
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
4
1
8
1
3
2
3
1
8
2
1
1
1
2
2
1
2
1
3
4
3
3
1
1
1
1
1
1
1
3
4
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
5
12
5
1
1
2
1
1
1
1
1
5
1
1
1
22
6
1
4
2
1
2
1
2
1
4
1
2
6
1
2
2
2
1
1
2
1
3
1
1
1
5
2
1
2
1
1
2
1
2
2
2
7
2
4
1
2
1
1
18
6
1
5
3
2
3
1
9
5
1
2
1
1
1
1
6
1
2
1
1
1
1
12
3
2
2
5
5
1
1
1
1
2
4
2
1
2
1
1
1
4
1
1
1
1
1
1
1
2
3
67
1
1
1
3
3
2
2
1
2
1
1
1
1
12
5
1
2
1
1
1
2
5
19
1
1
1
1
3
1
1
1
4
1
1
1
1
1
6
2
2
2
1
1
2
3
1
1
3
1
1
2
1
4
1
1
5
1
1
5
1
1
3
1
3
1
8
1
1
1
1
5
1
1
2
1
1
1
1
2
1
1
1
1
1
5
1
1
1
3
1
1
1
2
1
4
2
1
1
1
2
1
2
3
4
1
1
1
6
1
2
9
1
1
4
1
11
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
5
1
4
1
1
3
1
2
1
1
1
1
1
2
2
3
2
1
4
3
1
1
1
1
18
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
2
1
1
10
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
5
1
2
2
1
1
5
1
5
4
1
1
6
1
1
1
1
2
1
1
11
1
1
2
1
3
1
2
2
1
5
1
1
1
4
2
1
1
3
8
1
1
24
3
1
1
1
2
2
1
2
1
1
1
1
1
10
3
1
4
2
1
7
2
1
2
2
1
3
7
3
2
3
1
2
2
1
1
1
1
3
1
3
1
3
3
1
4
3
3
2
2
1
2
4
5
2
2
1
3
1
2
2
2
1
1
3
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
7
8
1
2
3
3
2
1
3
3
1
1
3
2
2
1
1
1
1
2
3
1
2
4
3
5
1
2
2
1
50
3
2
1
1
2
1
2
2
4
25
1
1
1
3
2
3
1
1
2
1
3
2
1
2
3
1
2
2
2
1
3
1
1
1
1
10
1
1
1
8
1
1
1
1
1
1
1
2
5
1
1
5
5
3
1
1
3
2
1
11
13
1
10
1
3
1
1
6
2
1
1
3
1
1
11
2
1
1
2
1
4
1
2
3
1
2
2
1
3
2
3
1
1
15
2
1
1
2
2
1
5
8
1
14
1
1
4
1
1
1
1
1
2
1
3
14
1
3
12
1
1
1
1
5
2
5
29
4
1
1
1
1
1
4
3
2
4
3
1
1
1
2
7
7
8
1
1
6
1
2
2
2
1
2
2
2
2
2
4
1
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
6
1
1
1
1
2
1
1
4
5
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
4
2
3
4
5
2
1
1
2
3
1
1
1
1
1
1
6
2
2
1
1
1
1
1
1
1
2
3
4
3
4
1
9
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
1
2
1
3
1
3
6
1
1
1
3
1
4
1
1
1
1
1
3
1
3
2
1
1
2
3
1
1
1
1
1
1
1
2
3
1
2
3
1
6
2
8
14
4
1
1
4
2
8
1
1
1
1
1
4
1
1
1
4
1
2
1
2
2
2
1
8
1
2
1
1
5
1
7
1
1
1
1
2
1
1
1
3
1
1
1
3
2
2
2
3
1
1
1
3
2
1
1
1
2
7
1
1
1
1
1
1
1
1
2
1
40
1
1
1
2
7
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
4
4
1
1
1
1
3
16
7
4
1
2
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
2
3
1
3
1
3
1
1
1
1
12
2
2
1
1
8
2
2
1
4
1
17
1
6
3
1
1
1
1
8
3
1
1
1
1
1
1
3
2
1
2
7
1
1
3
1
1
1
16
2
1
1
1
3
2
5
3
1
7
1
1
6
1
1
3
1
2
1
1
1
1
3
1
1
15
1
1
2
15229
1
4
2
5
1
2
4
3
1
1
2
2
2
2
1
1
1
2
1
1
1
1
1
1
2
1
8
1
1
1
2
1
9
1
2
1
1
3
1
1
1
1
4
2
2
1
3
1
1
1
2
3
1
2
4
1
1
11
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
3
1
2
1
1
1
1
3
3
3
1
2
1
2
2
46
3
1
1
3
1
1
1
1
1
1
1
1
1
2
2
2
3
3
3
2
1
1
1
1
3
4
2
34
1
2
1
1
7
1
14
1
2
2
2
1
1
1
1
1
1
2
8
4
2
5
1
3
1
1
6
1
2
5
1
1
2
2
1
1
2
2
6
1
1
1
3
1
10
1
1
3
1
59
2
1
3
1
1
1
1
1
1
8
1
8
1
2
1
1
1
9
2
4
1
1
1
2
1
2
3
1
2
1
1
1
3
1
2
1
1
3
1
40
1
1
2
11
2
5
2
1
1
1
2
1
2
2
5
2
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
4
1
1
1
1
2
1
3
2
1
2
1
15
1
1
1
1
1
1
1
1
2
1
1
2
1
4
1
4
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
9
2
1
1
1
10
3
1
4
3
64
1
1
2
1
1
1
1
1
8
1
1
5
5
4
4
2
1
5
1
1
1
9
1
2
1
1
1
2
1
6
1
3
3
1
2
1
4
1
1
1
1
2
2
2
1
1
4
1
1
5
5
1
1
2
30
5
3
7
2
2
1
2
1
1
1
1
1
1
20
1
1
6
3
1
7
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
6
1
2
1
1
1
10
1
1
1
3
1
1
1
1
2
2
1
3
1
1
2
1
1
2
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
3
1
1
3
3
1
1
1
5
1
2
1
1
1
2
1
1
3
1
1
1
1
11
3
1
1
1
1
1
1
1
3
1
90
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
1
3
2
2
3
1
1
2
3
1
3
1
1
1
1
1
2
2
1
1
5
1
1
2
1
1
1
1
2
2
1
1
2
2
1
3
6
1
4
1
6
1
1
1
5
1
3
1
1
1
11
1
3
5
1
2
1
1
1
7
5
6
1
1
1
1
5
2
1
4
3
3
1
3
8
3
1
1
1
1
1
1
6
3
1
1
2
3
1
1
5
1
1
1
3
1
1
1
1
1
3
1
2
3
2
1
2
1
1
2
1
2
1
6
2
1
2
9
1
1
1
1
5
1
1
1
1
1
1
2
1
1
4
1
1
2
4
1
1
1
1
2
1
2
1
1
3
2
2
2
3
1
1
1
2
4
2
1
1
1
2
3
3
6
1
2
2
1
2
3
1
1
1
1
3
1
2
1
1
1
2
2
4
1
1
1
6
1
2
18
2
1
10
3
3
2
1
3
3
1
1
1
2
24
10
2
1
1
1
1
5
1
1
2
5
1
3
5
2
1
2
1
1
1
1
1
1
5
1
2
1
1
2
1
1
1
4
2
3
8
1
5
1
6
2
5
5
1
1
1
3
1
4
2
3
1
1
1
2
1
7
1
1
9
4
1
1
1
1
3
2
1
2
6
8
1
1
1
7
1
1
1
4
1
62
1
1
6
2
1
1
1
2
1
1
1
5
1
1
1
2
1
3
1
3
2
1
1
1
3
1
1
1
4
1
3
1
2
1
1
1
1
3
1
17
1
2
1
2
2
1
1
2
2
1
1
2
2
18
15
2
1
1
1
1
2
1
1
2
2
1
3
1
1
4
1
2
1
3
1
1
1
9
4
11
1
3
5
1
3
1
3
1
4
1
1
8
1
1
4
1
1
5
4
1
1
1
1
40
2
2
1
1
2
1
2
2
1
6
1
3
1
5
1
1
9
5
1
1
2
2
2
1
1
2
1
1
2
3
1
2
2
2
2
1
1
2
2
1
1
2
1
1
1
10
1
3
1
1
1
1
2
1
1
1
4
2
2
2
1
1
10
1
1
1
1
1
1
1
1
3
12
3
1
4
1
2
1
2
1
1
1
2
3
1
4
9
1
5
5
1
1
1
2
1
2
9
5
3
1
2
2
2
2
2
5
1
5
1
1
9
1
1
2
1
2
1
1
1
2
1
1
1
2
1
7
1
1
3
1
5
1
1
2
5
3
2
1
1
3
1
1
1
2
3
1
1
8
3
1
2
2
1
2
1
2
1
1
1
4
1
1
1
1
5
1
1
1
5
1
2
1
1
1
1
1
1
1
3
1
1
1
4
2
4
1
1
1
4
1
1
3
1
1
1
1
1
4
5
2
1
7
1
2
1
43
2
4
3
1
1
2
1
1
48
1
2
3
2
2
2
2
6
1
1
4
1
1
1
12
2
3
1
2
3
1
1
1
1
1
2
2
1
2
1
6
9
2
6
1
3
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
3
2
1
1
3
1
1
1
2
1
3
1
2
2
7
1
1
1
1
1
1
1
4
1
1
1
2
1
2
1
3
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
3
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
1
2
2
2
2
1
1
1
1
2
2
1
3
1
1
1
1
2
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
3
1
2
3
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
5
1
2
3
1
1
1
2
2
1
2
2
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
2
8
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
3
1
1
2
1
1
1
1
3
3
1
1
1
1
3
1
2
1
1
2
3
2
1
1
1
1
1
1
2
1
1
3
1
1
5
2
1
2
3
1
7
5
1
2
1
2
3
1
1
1
2
2
1
1
2
2
2
1
1
1
1
2
2
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
3
2
2
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
6
3
1
5
1
2
1
1
2
1
1
5
1
1
2
1
2
2
2
1
1
2
1
2
3
1
2
1
1
1
1
1
3
1
2
1
1
1
1
2
4
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
6
1
4
2
2
1
1
1
1
1
8
1
1
2
1
1
2
3
1
7
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
2
2
2
1
1
2
1
1
2
1
2
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
2
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
2
2
1
1
1
2
1
1
2
2
2
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
2
6
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
3
1
1
4
1
2
1
1
1
1
2
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
2
2
1
3
3
1
2
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
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
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
75
1
1
2
1
1
1
1
2
1
2
1
4
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
2
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
2
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
1
5
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
7
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
2
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
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
2
1
3
2
1
2
1
1
8
1
1
1
1
1
1
7
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
4
1
2
2
1
1
1
1
2
1
2
2
1
1
4
1
2
1
1
1
3
1
2
4
1
1
1
2
1
2
4
1
2
1
1
16
1
1
1
2
12
3
1
4
1
3
2
17
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
8
37
9
3
2
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
872
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
3
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
7
6
2
1
1
3
2
6
1
2
2
1
1
5
1
3
2
1
1
4
2
1
1
9
2
1
1
1
1
1
1
1
1
12
1
2
4
2
1
1
4
1
3
1
1
1
1
1
1
3
1
2
10
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
2
1
1
1
1
4
1
1
1
1
1
5
1
2
3
1
2
1
1
2
4
2
3
3
1
4
1
1
1
1
1
1
3
1
1
3
2
1
1
7
3
1
1
2
2
2
1
5
1
1
1
2
1
2
1
2
6
1
2
3
1
1
7
1
1
5
6
1
1
1
3
1
6
1
3
8
1
1
1
1
3
7
1
2
7
8
1
1
2
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
2
3
3
1
6
1
2
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
4
1
1
1
1
1
1
28
6
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
2
1
1
1
1
2
1
2
1
1
2
2
1
1
1
9
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
2
1
2
1
1
2
1
2
1
14
4
3
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
2
2
2
2
1
1
2
1
2
2
1
2
1
1
1
1
2
2
1
1
3
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
18
1
1
4
3
1
1
5
1
1
1
2
1
2
1
2
1
2
1
1
2
2
5
8
2
1
1
2
1
9
4
8
5
1
4
1
1
2
1
10
2
2
1
1
1
2
1
1
1
3
1
1
1
1
6
1
1
1
2
1
4
2
1
1
2
3
4
5
2
6
1
1
7
9
2
1
1
2
1
1
4
1
1
1
4
7
1
1
4
1
1
1
1
2
1
2
2
3
1
2
1
4
1
6
3
1
1
1
3
1
1
5
2
1
1
9
1
1
13
8
1
3
1
2
1
1
2
7
2
1
3
1
1
1
1
2
1
15
3
1
5
1
3
1
3
5
1
2
1
1
1
2
1
1
2
1
5
22
5
1
1
3
1
1
2
3
1
1
1
1
1
3
1
2
1
2
1
1
6
2
1
1
3
3
1
1
1
3
1
2
2
1
1
1
1
1
1
2
1
3
2
1
1
1
2
1
3
1
1
4
2
1
2
1
2
1
1
2
3
2
1
1
1
10
2
1
1
7
3
6
2
1
1
1
2
1
1
2
2
10
5
3
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
4
1
1
1
2
1
1
7
1
5
4
1
1
1
1
1
1
1
2
1
3
1
3
1
3
1
3
2
1
2
4
2
1
1
1
4
1
5
1
2
23
1
9
8
2
34
3
5
7
1
1
1
1
1
1
2
1
2
22
2
1
1
1
4
2
3
2
1
5
1
1
1
1
1
1
2
1
8
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
3
3
3
1
1
1
1
1
1
2
4
2
2
2
1
2
1
2
1
1
2
2
1
1
1
2
1
1
1
3
5
1
1
3
1
1
2
1
3
2
1
1
2
1
2
1
3
1
1
1
1
1
8
1
1
1
2
1
3
1
2
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
5
4
3
1
1
8
2
1
1
1
1
2
1
3
1
39
16
1
2
1
1
1
1
1
4
1
1
6
1
1
2
2
1
8
1
2
1
2
1
8
2
1
3
1
2
1
1
3
1
3
1
1
1
2
1
1
3
1
2
1
4
1
1
1
1
1
1
1
1
4
3
5
1
1
1
1
1
1
4
1
2
1
1
2
2
1
1
1
2
1
1
2
1
8
2
3
1
1
2
1
1
4
1
6
1
1
4
1
1
2
1
1
5
1
3
1
1
1
2
4
2
43
1
1
2
2
1
2
14
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
2
2
2
1
1
1
6
1
1
5
1
2
5
1
12
1
1
3
1
1
1
2
2
1
2
1
1
3
1
1
1
3
1
1
5
1
2
1
1
2
1
11
4
1
1
1
2
1
1
1
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
2
6
1
1
1
1
35
1
8
1
1
1
1
14
2
1
1
1
1
1
1
1
6
1
1
2
16
1
3
1
1
1
3
1
13
9
2
1
1
1
1
1
3
2
2
2
1
2
1
1
1
1
3
1
2
2
1
1
1
1
1
2
2
3
11
5
1
1
4
1
1
1
1
1
1
1
1
9
1
1
1
1
2
1
1
1
1
26
10
1
2
1
1
1
1
4
1
1
1
1
1
1
3
1
1
2
2
2
3
1
2
1
1
1
11
10
1
5
1
2
2
1
100
2
3
3
17
3
4
4
6
1
1
1
1
6
1
1
2
1
1
3
9
1
1
2
1
3
1
1
1
3
1
1
1
1
3
2
2
1
1
2
4
1
1
1
1
2
1
1
1
1
1
2
11
5
35
3
1
1
2
1
2
1
2
8
11
3
16
1
17
1
1
1
1
1
5
1
3
3
1
3
1
1
1
1
3
1
6
2
3
1
1
1
1
8
1
3
4
2
1
3
5
1
1
1
2
3
5
9
4
1
1
1
2
1
1
3
3
1
1
1
1
10
3
7
2
10
1
1
1
1
1
2
2
3
1
10
1
2
5
3
2
3
11
2
1
3
4
1
1
1
8
4
3
1
4
1
4
2
14
1
3
1
1
6
1
1
2
1
2
2
6
2
1
5
3
2
1
4
1
3
3
1
3
8
1
1
1
1
2
1
1
3
2
1
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
2
1
3
2
1
1
3
1
1
1
2
2
18
1
1
2
4
1
1
4
1
4
1
5
1
2
1
1
1
9
2
1
1
1
1
1
15
5
1
2
1
1
6
1
1
2
1
1
1
1
8
33
16
1
1
1
1
2
6
9
1
5
1
1
1
1
11
1
1
8
1
1
1
1
1
4
7
1
1
1
1
1
1
3
3
1
3
2
1
1
4
5
1
1
1
1
1
1
1
3
4
1
2
1
1
1
2
1
5
1
2
1
5
4
5
2
1
1
1
1
2
1
1
5
5
8
1
4
6
1
1
3
3
10
1
7
1
1
2
1
1
2
1
1
8
4
2
1
2
2
10
2
1
1
2
1
2
6
1
1
1
1
1
1
1
2
3
1
6
1
1
1
2
3
1
1
1
1
6
1
15
1
1
1
39
2
2
4
3
1
1
2
1
11
1
1
1
1
1
1
1
7
1
3
4
1
2
2
1
2
1
1
1
2
1
1
1
1
1
19
1
1
1
2
1
2
2
1
12
1
5
41
9
1
1
1
1
1
1
3
1
115
1
1
4
16
1
1
10
5
3
5
1
3
4
1
1
1
1
1
6
1
2
10
4
2
2
1
1
11
1
1
5
2
3
2
3
1
1
1
1
5
1
1
2
1
10
1
1
1
1
15
1
1
9
2
2
1
1
4
5
6
3
47
1
3
3
1
28
7
2
1
1
5
5
1
5
1
1
3
1
1
1
3
1
1
1
1
1
11
3
2
3
1
2
1
1
5
1
1
1
7
2
2
2
2
1
1
1
17
5
3
1
1
3
1
7
1
1
4
1
1
1
1
6
1
1
1
2
1
1
1
1
16
1
1
1
1
1
4
2
1
3
7
1
1
1
1
1
1
3
2
1
2
1
1
1
2
1
1
9
1
2
1
1
3
7
4
3
1
1
3
1
1
2
1
1
3
2
1
1
1
1
1
10
2
1
2
15
1
1
2
2
1
9
2
1
2
1
5
1
3
1
1
3
1
1
1
1
1
5
1
5
1
1
8
5
3
2
3
2
1
1
1
1
1
1
13
1
1
1
1
2
1
3
9
1
1
4
6
1
2
6
2
3
1
1
4
1
1
1
1
1
2
1
1
1
2
1
1
4
4
1
2
1
1
3
1
1
4
1
12
3
1
2
245
1
2
2
2
33
3
7
1
1
12
6
1
1
2
3
1
1
4
1
1
1
1
1
1
6
1
1
1
2
5
1
1
1
1
2
2
2
5
3
1
3
1
1
2
2
4
1
4
2
4
1
3
1
4
1
1
1
1
1
5
2
1
1
1
5
1
3
1
2
2
1
7
2
3
1
4
1
1
2
1
1
2
1
2
1
2
3
8
2
1
13
1
1
1
12
4
2
2
3
1
5
1
1
3
2
7
2
11
2
1
1
1
1
3
2
2
1
9
4
2
1
1
2
1
1
1
2
2
19
1
1
115
8
6
7
2
1
2
1
5
2
1
2
3
18
1
6
6
513
1
1
2
1
1
13
1
1
2
2
1
3
6
1
3
6
1
1
2
1
5
1
1
2
12
1
1
4
1
14
1
3
7
4
5
4
1
1
2
2
1
3
1
2
2
1
1
1
9
3
1
1
1
1
15
5
1
4
1
11
1
1
1
6
3
3
2
1
2
1
5
1
1
1
4
1
1
1
3
1
4
1
1
7
7
10
1
1
3
1
1
4
1
1
1
1
1
1
1
1
2
1
1
3
26
2
3
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1