1
1
32
31
3
43
27
1
8
1
4
2
1
1
1
3
2
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
6
1
7
1
2
1
2
2
1
4
1
1
1
1
1
1
3
1
8
8
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
3
1
3
1
1
3
1
2
27
1
2
3
1
2
1
3
1
3
1
9
2
1
1
1
1
1
12
5
1
24
1
2
1
1
4
1
1
1
3
2
1
3
2
2
1
3
1
2
4
1
1
1
1
2
9
4
2
10
10
1
1
1
4
1
3
10
6
1
4
2
1
2
1
1
1
1
1
3
1
1
8
8
1
1
1
1
1
2
1
1
8
10
1
2
2
2
1
1
2
2
3
2
1
1
1
13
1
1
5
18
1
2
5
1
2
2
5
1
4
1
3
1
1
2
1
1
1
16
2
1
2
1
1
1
1
1
20
2
3
1
3
3
2
1
1
1
1
2
1
208
4
8
3
1
1
2
2
1
1
1
2
29
2
1
1
1
1
1
1
1
9
1
10
8
1
1
1
14
2
1
1
19
8
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
8
2
1
9
2
1
1
1
4
2
6
1
7
6
5
1
1
1
1
3
1
1
1
2
1
1
1
2
7
3
2
1
14
1
13
2
1
5
3
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
3
6
2
2
1
261
1
1
1
60
1
1
7
2
1
7
1
2
1
2
1
2
1
1
1
1
2
1
1
9
1
2
1
1
2
1
1
1
1
30
1
5
2
1
1
1
1
1
3
1
9
1
1
2
1
3
1
2
1
1
1
1
2
1
1
1
2
1
1
4
1
2
1
1
1
1
8
2
1
1
8
15
1
1
2
5
1
1
1
5
1
5
1
2
1
1
1
4
4
2
2
10
1
3
1
3
2
2
1
1
1
3
1
1
1
1
1
1
13
1
1
1
1
1
1
6
4
5
2
1
2
9
3
2
1
4
13
1
1
1
1
3
1
11
1
2
1
8
2
1
1
1
1
2
1
2
1
1
1
3
1
1
3
3
2
1
13
1
1
1
3
1
2
1
2
1
16
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
2
2
1
1
4
1
4
2
4
3
2
2
2
1
1
1
1
1
7
1
1
1
5
2
1
1
1
2
3
1
2
1
3
1
1
1
2
36
2
2
1
1
2
8
3
1
1
2
5
1
1
2
1
1
7
27
1
2
1
2
5
2
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
2
2
1
1
1
3
1
1
197
1
1
1
1
1
1
2
1
1
1
1
3
1
1
3
12
14
1
8
2
2
3
1
3
1
1
2
2
1
1
2
1
1
1
2
1
4
2
1
1
2
1
1
1
1
1
7
1
1
2
1
3
4
1
1
1
1
1
1
1
5
4
2
1
1
1
17
2
1
1
1
1
3
2
1
5
1
15
2
2
1
3
1
3
7
1
22
9
2
1
1
1
3
2
3
29
10
1
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
14
1
1
1
1
1
24
9
1
2
7
1
6
7
1
1
1
1
2
1
1
2
1
3
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
12
2
1
3
2
1
3
1
2
2
2
4
3
1
1
7
1
9
4
2
2
1
1
2
1
5
4
1
1
1
2
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
7
1
3
6
2
1
4
2
1
3
1
1
1
1
1
14
2
1
1
1
1
1
1
3
2
2
1
2
1
1
1
1
7
2
2
5
2
1
7
2
2
1
1
2
3
2
1
1
1
1
2
3
2
2
1
4
3
1
1
3
15
1
2
1
1
1
6
2
23
1
1
3
4
1
6
2
4
1
5
3
1
2
1
1
1
1
1
1
2
1
1
1
6
11
1
1
1
2
1
2
1
3
1
8
2
1
3
6
15
3
1
3
2
1
15
1
4
6
3
1
1
1
1
1
1
1
1
1
4
1
1
1
5
2
3
1
1
1
3
1
2
1
1
1
1
1
2
1
8
4
2
1
15
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
2
2
2
2
1
11
1
1
1
2
1
1
5
4
1
15
2
1
4
1
1
22
9
14
2
2
1
1
14
1
3
69
1
2
2
1
1
1
1
7
5
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
2
12
2
1
1
1
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
13
1
1
1
3
1
1
3
1
8
1
1
2
1
1
1
2
1
1
1
1
3
1
1
3
1
1
3
4
1
1
2
1
2
1
1
2
2
6
4
1
1
2
1
3
1
2
2
2
2
1
1
1
4
1
1
1
2
1
1
1
3
9
2
1
1
1
1
4
1
2
5
1
3
4
6
1
3
1
1
1
1
2
1
16
1
1
1
3
5
1
3
1
1
1
1
1
7
2
1
8
1
3
1
2
3
1
1
1
1
2
1
1
2
2
1
11
3
1
3
9
7
1
2
1
1
3
1
4
1
1
3
2
2
1
1
3
2
1
7
2
1
1
6
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
1
2
1
2
4
3
1
1
4
3
9
1
1
1
1
2
12
1
3
1
1
1
1
2
1
1
1
1
1
1
5
3
2
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
2
4
1
4
2
1
5
3
1
1
1
1
1
1
4
12
32
1
1
1
1
1
3
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
1
12
1
1
4
1
1
1
1
6
4
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
24
1
1
29
10
1
1
1
1
1
1
1
1
1
5
1
4
8
1
1
4
1
1
3
3
1
1
1
2
1
1
1
3
1
2
1
5
1
3
1
1
1
1
1
2
1
12
1
1
1
1
2
3
1
1
1
1
2
2
1
3
2
1
1
1
1
1
3
1
1
1
4
1
1
1
2
4
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
2
1
1
3
25
1
3
2
1
1
1
2
2
1
2
18
1
5
3
3
6
1
1
1
1
2
2
1
2
2
1
5
3
1
1
1
1
1
1
2
1
1
1
1
5
1
2
3
1
63
3
6
1
1
1
1
4
1
1
3
1
1
1
1
1
2
5
7
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
14
2
1
3
3
1
1
1
2
1
1
2
3
2
1
1
4
2
1
1
2
2
3
2
1
1
1
1
1
1
4
6
1
1
10
1
2
1
2
2
1
2
4
1
1
1
7
2
1
1
2
1
1
2
1
8
1
1
1
2
22
1
1
1
1
1
1
1
4
1
1
1
1
2
21
1
2
6
1
1
1
1
1
1
3
1
1
1
5
1
5
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
4
1
2
3
1
2
5
3
4
1
1
1
1
5
2
1
2
2
2
306
1
1
2
2
5
1
1
1
9
2
3
1
1
2
1
2
1
8
5
2
1
1
6
1
1
2
1
12
13
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
5
2
1
1
2
1
1
1
2
1
15
1
4
1
2
4
1
1
1
1
1
2
2
4
1
2
1
1
2
1
1
1
1
1
1
1
4
11
3
1
1
1
1
6
1
1
21
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
1
2
1
3
1
1
1
1
4
4
6
5
1
1
1
1
1
1
1
2
2
1
5
2
1
2
9
7
4
7
4
1
1
1
1
2
4
4
2
2
1
3
1
1
1
2
1
1
2
1
6
4
1
2
3
1
1
1
3
1
1
7
1
1
4
2
1
1
1
5
7
2
1
2
3
3
1
2
1
4
2
4
1
1
1
1
4
1
11
2
1
2
1
4
1
1
3
2
2
2
2
1
2
5
2
1
1
1
1
34
1
1
1
1
1
4
1
4
21
5
1
1
1
37
1
1
3
2
2
3
1
2
4
2
1
1
1
1
1
1
1
1
2
2
1
1
14
1
1
2
4
5
1
1
2
6
5
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
17
10
1
1
1
3
1
1
3
8
3
10
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
3
1
4
1
3
2
1
1
2
1
2
1
3
1
1
1
1
3
1
2
3
1
2
1
1
2
1
2
3
1
3
1
1
1
3
1
1
1
1
1
7
1
1
13
1
1
1
2
2
1
1
1
2
4
20
3
1
1
1
3
1
2
1
1
2
1
2
2
1
2
1
1
1
3
3
1
2
1
1
1
1
9
2
1
1
1
1
1
1
1
1
2
1
1
2
2
1
3
1
2
1
1
1
2
1
1
3
1
1
10
2
1
1
1
1
3
1
1
1
2
1
13
10
2
5
1
1
6
1
1
1
1
2
2
1
1
1
1
3
2
2
1
2
2
1
1
1
1
8
1
5
5
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
2
1
1
12
1
1
1
1
1
11
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
2
2
3
1
4
10
13
1
1
1
4
1
1
2
1
1
1
2
3
1
14
1
2
1
3
1
1
1
3
2
1
2
13
2
2
1
1
1
1
1
1
1
1
1
4
1
1
24
1
1
3
1
1
1
1
1
1
3
3
1
1
2
1
3
1
5
2
1
1
15
1
1
1
1
1
1
6
1
5
1
1
2
1
7
2
1
1
1
3
1
1
1
1
4
1
10
1
1
1
1
2
1
1
1
1
1
1
3
7
4
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
108
12
15
17
1
3
2
2
3
1
1
4
2
2
5
1
1
1
1
1
1
1
3
1
1
2
1
10
2
11
1
1
4
2
1
1
1
2
1
4
2
1
1
5
3
2
1
1
2
1
2
1
1
1
1
1
1
1
4
2
1
2
1
28
1
10
4
2
1
1
1
1
1
2
4
2
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
5
3
1
12
9
1
1
10
1
1
2
1
6
6
1
1
1
1
1
3
1
1
3
1
2
1
2
6
3
2
1
2
3
2
1
1
2
3
3
1
4
8
3
1
1
7
6
1
4
1
1
2
2
1
1
21
1
3
1
1
67
14
1
3
2
1
1
1
2
2
2
2
1
1
1
1
1
1
3
2
3
5
2
1
1
1
1
1
1
3
1
1
1
3
7
2
1
1
1
1
3
3
1
1
2
9
1
5
3
1
1
6
2
2
1
11
1
1
4
1
1
1
4
1
1
1
3
1
4
1
5
1
1
1
1
2
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
3
9
5
7
1
2
10
4
1
1
1
2
1
7
7
9
1
1
1
1
7
3
1
4
1
1
1
2
2
1
1
1
2
3
1
1
1
1
1
1
1
3
1
2
6
1
5
157
1
2
3
1
4
1
1
1
3
6
10
1
3
1
2
3
3
2
2
2
2
1
1
3
1
3
1
1
3
19
1
1
1
1
2
2
2
6
2
2
1
3
1
1
1
3
1
1
1
1
1
1
1
2
6
1
2
1
1
20
4
1
1
2
4
32
2
1
1
3
1
1
1
1
1
1
1
1
2
5
1
1
1
2
19
1
6
1
1
50
5
1
1
1
4
1
1
1
11
1
1
3
3
2
1
2
1
2
1
2
3
3
1
1
10
3
5
1
2
1
2
1
4
2
3
1
1
7
1
1
2
1
1
1
1
3
3
1
4
2
1
3
1
1
1
1
6
1
2
1
12
1
1
1
1
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
2
4
1
1
1
1
1
2
2
1
2
1
1
1
4
1
2
2
1
1
1
2
1
2
2
3
1
1
1
2
1
1
1
2
1
3
2
1
1
3
5
2
2
7
4
1
3
3
1
1
7
4
1
2
2
1
1
2
1
1
2
1
5
2
2
1
1
1
1
12
5
17
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
29
3
1
4
4
1
4
1
2
1
2
4
5
1
2
1
1
1
1
5
6
2
4
3
1
109
2
1
1
3
3
2
1
2
3
2
4
2
1
1
5
1
1
1
1
1
1
5
3
1
3
1
23
3
1
10
9
8
1
2
1
1
1
4
3
2
3
4
13
6
4
1
6
1
1
1
1
1
1
2
1
1
1
1
3
2
5
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
3
1
1
1
1
1
1
1
1
7
1
2
14
5
6
2
1
3
8
1
1
1
2
3
4
2
1
1
1
3
1
1
2
2
3
1
2
2
1
1
3
7
2
43
2
2
1
1
1
1
2
2
1
1
1
33
2
21
2
9
1
4
1
1
1
1
2
5
1
2
2
2
1
2
1
1
1
4
1
2
2
1
1
1
1
1
9
1
1
5
1
1
1
1
17
4
1
1
1
1
3
2
2
1
1
1
1
2
34
11
1
1
1
3
16
3
1
2
2205
1
1
1
1
2
1
1
1
1
2
1
1
1
3
2
2
1
1
1
2
7
7
1
1
1
2
1
2
1
1
1
1
1
3
1
3
17
3
2
13
1
8
18
7
4
1
1
1
1
1
2
2
1
4
1
1
1
14
2
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
7
3
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
6
1
1
15
1
1
1
1
1
3
1
4
2
1
2
3
1
2
1
1
3
1
2
3
3
38
1
6
3
1
3
1
2
16
1
1
1
1
1
1
1
1
3
1
1
2
2
2
4
2
3
2
1
8
5
3
5
1
1
1
1
2
2
1
1
10
1
1
1
2
5
2
1
1
1
4
2
1
1
18
19
4
1
5
1
1
2
6
2
1
2
2
1
3
1
2
6
1
1
1
1
3
1
11
9
5
2
2
2
1
1
1
3
36
2
2
12
10
4
1
7
1
1
1
2
1
1
1
1
1
2
10
1
3
1
1
7
1
12
5
1
3
1
1
3
1
1
10
1
1
1
1
1
1
2
1
1
1
1
6
1
1
2
1
1
2
1
1
6
1
3
1
3
3
13
4
1
3
1
1
1
1
12
4
1
1
1
2
11
1
1
1
1
2
1
1
1
14
3
1
2
2
1
2
2
1
2
1
1
1
1
5
8
1
6
1
1
1
11
5
1
4
13
10
1
1
14
1
1
3
1
1
3
1
2
1
1
3
1
2
1
2
8
7
1
1
1
8
1
3
5
8
1
1
6
7
1
2
1
1
1
1
5
1
3
1
12
15
1
1
7
1
1
1
1
1
1
2
1
2
5
1
1
2
1
1
3
1
2
1
4
1
1
6
2
1
1
1
1
1
1
1
2
2
1
6
1
3
1
1
1
1
1
21
1
1
1
4
1
1
50
1
1
1
1
1
19
3
3
3
2
1
1
1
1
1
1
2
2
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
1
1
30
1
3
2
5
3
1
1
1
9
1
1
3
5
1
11
4
3
1
1
3
1
3
1
1
17
2
1
1
3
8
13
16
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
4
1
1
2
2
1
1
1
1
3
1
2
3
1
1
3
3
2
1
5
1
2
2
2
1
1
3
1
1
1
1
1
6
1
11
2
9497
1
3
1
16
1
6
8
7
1
1
1
1
1
1
3
13
15
2
1
1
1
1
8
2
1
2
1
3
3
2
3
4
2
2
2
1
1
3
1
3
6
1
1
13
4
2
1
2
3
3
2
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
2
1
3
3
1
84
12
2
5
10
1
1
1
2
1
2
4
1
1
2
13
4
2
1
1
1
1
1
1
1
3
2
1
1
5
1
2
42
6
3
1
1
1
1
1
1
1
1
1
31
1
3
2
12
3
2
1
7
1
1
1
1
2
3
1
2
2
3
3
2
2
2
2
2
2
5
1
4
2
89
3
4
3
1
3
4
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
9
1
4
4
2
1
2
1
1
38
1
1
7
1
2
2
3
2
1
1
1
1
4
2
1
1
3
2
13
1
3
1
1
1
2
1
1
2
2
1
1
2
1
1
7
1
1
1
1
1
1
2
97
1
2
2
1
1
1
1
1
2
1
1
7
2
3
1
4
1
2
4
4
2
1
137
1
1
1
2
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
10
1
1
1
2
8
3
2
1
59
1
1
2
1
4
3
3
4
1
1
7
1
1
1
1
9
1
2
1
1
1
6
1
4
1
2
38
1
3
1
1
2
1
2
1
1
1
1
1
2
2
1
1
50
4
6
1
4
4
2
1
1
1
1
1
13
1
2
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
3
2
1
1
1
7
1
1
1
1
1
1
1
4
1
9
1
2
1
3
2
4
1
1
2
1
2
1
3
1
1
1
1
2
1
4
6
1
10
1
147
1
1
4
1
3
9
2
2
1
1
1
1
1
1
2
1
1
1
4
1
4
1
2
1
1
1
2
1
1
1
1
3
3
1
7
1
57
1
1
2
1
3
3
1
1
1
1
1
1
1
2
4
5
1
2
2
1
1
1
1
2
1
1
37
17
1
3
1
1
1
2
1
1
1
1
1
1
2
1
30
1
1
2
2
4
1
3
5
6
1
2
4
1
1
2
3
2
2
1
10
1
17
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
5
1
1
3
8
1
1
3
2
1
1
1
1
1
3
1
1
2
1
1
3
2
1
5
1
3
5
1
1
5
1
1
2
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
2
3
2
1
1
1
1
1
2
1
1
1
1
2
3
30
1
9
5
7
3
1
1
4
3
1
14
6
2
1
3
1
3
1
1
5
2
4
1
1
1
1
1
2
3
5
1
2
1
1
9
4
2
1
15
2
1
8
1
7
1
9
16
1
2
2
4
10
1
1
1
2
2
1
1
13
3
1
20
3
1
2
2
2
1
1
1
1
2
10
12
2
2
1
3
2
2
12
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
6
1
5
1
2
1
1
8
2
3
1
1
63
7
1
2
1
1
1
3
1
1
3
1
4
1
2
1
1
2
2
3
5
1
9
1
1
1
3
2
5
1
2
3
2
1
1
7
7
20
4
1
12
22
1
1
1
1
1
4
1
1
1
3
1
1
2
3
1
1
1
2
17
1
1
1
9
61
1
1
5
5
3
1
1
3
1
1
1
7
1
1
1
2
1
2
3
1
4
1
19
1
1
2
3
1
1
1
3
1
3
1
4
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
2
2
1
2
1
1
1
1
1
9
1
5
1
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
5
1
1
2
2
2
2
1
2
8
1
6
1
1
4
3
6
1
3
1
3
2
1
1
1
1
2
2
1
1
5
2
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
4
12
2
1
5
2
2
2
1
5
1
1
1
2
1
1
3
2
1
4
2
1
1
1
6
4
1
2
1
3
2
3
1
2
1
1
1
1
1
1
1
1
6
1
2
3
2
1
4
1
3
1
1
2
2
1
2
1
2
1
1
2
1
4
4
8
2
6
1
1
2
1
26
22
1
17
15
2
2
1
1
14
3
1
2
1
1
1
2
1
1
8
2
1
1
3
1
1
2
1
2
2
9
1
2
1
1
1
2
1
2
6
4
2
2
1
1
10
7
1
1
5
2
2
1
3
5
3
2
1
1
1
1
1
1
1
2
1
2
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
7
1
2
4
1
1
1
2
1
4
1
1
1
1
2
1
1
2
1
1
1
2
1
2
2
1
3
1
1
2
2
1
1
5
2
1
2
1
1
1
3
1
4
1
1
1
3
1
1
3
2
2
1
1
3
1
1
2
1
1
2
1
2
2
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
2
3
2
1
1
2
3
1
3
2
2
1
1
2
1
1
1
3
1
2
2
1
1
1
1
13
2
1
1
6
1
1
1
1
4
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
5
2
1
2
1
1
3
1
1
1
2
1
2
1
3
5
3
3
4
1
1
1
1
6
1
1
1
2
1
2
1
1
6
1
1
2
1
1
4
1
1
1
1
4
1
1
1
2
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
2
2
1
1
1
5
21
1
1
1
2
6
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
2
2
1
1
2
1
3
2
1
1
1
2
2
1
1
2
1
1
1
1
2
4
4
1
2
2
3
1
1
1
1
1
2
2
3
1
1
1
2
1
1
1
3
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
2
1
1
1
1
2
1
1
1
1
1
1
1
2
3
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
2
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
7
2
2
1
1
1
2
1
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
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
2
1
1
1
1
1
1
1
2
1
2
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
2
1
1
2
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
2
4
1
2
1
1
1
1
2
1
1
72
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
2
2
1
1
1
1
2
3
1
1
1
1
5
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
2
1
1
1
4
1
1
5
1
1
1
1
1
1
1
1
1
37
1
1
1
1
1
3
2
2
1
1
2
4
1
1
1
1
1
2
9
1
1
5
1
5
8
4
2
1
10
1
1
4
2
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
2
1
1
3
1
15
1
1
1
2
1
1
1
6
7
4
1
2
1
2
2
1
1
2
1
1
3
55
18
8
4
2
2
2
1
2
4
5
1
2
5
2
2
3
4
3
776
4
5
1
3
1
2
4
1
1
1
47
1
1
1
1
1
1
1
1
4
2
2
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
4
1
5
1
1
20
1
1
2
3
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
3
4
1
6
2
1
1
2
2
1
14
4
1
2
2
1
3
1
1
1
2
2
1
1
1
2
2
1
2
2
1
1
1
1
1
6
1
1
1
1
1
1
1
1
2
1
1
1
15
1
6
2
1
1
4
2
1
1
2
1
2
1
3
1
1
1
2
2
1
3
1
1
1
2
1
6
3
1
1
1
1
1
1
2
1
2
2
2
4
9
3
3
1
1
2
2
8
1
5
4
1
2
1
5
1
1
1
4
3
4
5
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
2
3
1
61
19
3
1
2
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
19
1
1
3
1
1
1
1
1
1
2
1
1
2
1
2
1
1
2
2
1
4
1
1
1
1
2
2
1
1
1
1
27
3
30
4
10
1
1
1
2
1
1
1
4
1
1
7
1
1
2
2
2
2
1
1
2
1
1
5
2
1
1
1
3
1
1
1
9
2
1
2
1
1
1
2
1
1
1
1
1
1
1
8
1
1
4
1
1
1
1
3
1
2
1
1
1
2
3
1
2
4
1
1
3
1
3
4
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
3
6
1
1
1
2
3
4
1
1
3
5
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
2
2
1
3
1
2
1
1
1
1
1
8
2
2
2
2
1
1
1
1
8
4
2
1
4
1
3
1
3
1
3
5
1
2
1
3
1
2
4
2
1
1
1
1
1
1
1
1
2
4
1
2
1
1
1
1
5
3
1
5
5
1
34
22
1
2
1
1
4
1
15
1
8
1
5
1
1
1
2
2
8
5
2
1
2
1
1
1
1
9
2
1
2
2
1
3
1
1
7
1
18
1
1
1
1
1
4
3
5
1
1
15
1
4
1
2
2
1
1
2
18
2
4
1
1
1
2
1
1
2
2
1
2
1
38
1
1
1
1
1
3
5
5
1
1
1
1
3
1
1
1
5
1
4
1
13
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
2
1
2
1
1
7
2
4
1
2
1
2
2
3
1
2
1
11
3
5
3
1
26
1
1
1
6
2
1
1
1
2
1
1
1
37
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
3
1
1
1
10
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
2
1
1
3
1
1
1
8
1
1
1
2
1
1
1
1
1
2
1
1
1
1
4
1
2
3
1
2
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
3
3
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
2
1
1
6
2
1
2
2
1
1
3
4
2
1
2
1
1
2
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
2
4
1
2
1
1
1
5
2
1
1
5
4
2
1
12
7
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
4
3
1
1
1
2
1
3
2
1
1
5
1
1
1
4
3
2
3
1
1
1
4
1
1
1
1
4
1
2
2
4
1
1
1
2
3
2
1
1
1
1
2
1
1
1
4
2
1
2
1
1
3
2
1
1
3
1
6
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
2
1
7
4
1
1
1
2
2
7
1
1
7
1
1
2
3
12
2
1
1
1
1
1
1
1
1
1
1
1
10
2
24
4
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
3
28
1
13
1
5
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
2
13
2
1
1
1
1
3
1
1
1
1
2
60
25
1
3
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
7
2
1
1
1
1
2
1
1
1
6
7
1
6
4
85
2
3
5
7
24
4
8
2
3
1
5
1
2
1
1
2
1
2
28
2
2
1
1
1
1
4
2
3
1
8
1
1
1
2
2
1
3
2
1
3
2
1
4
1
1
1
7
1
5
1
1
3
1
1
1
1
2
1
1
2
10
1
12
2
5
1
2
1
2
1
1
1
1
2
2
2
1
1
1
1
2
1
6
6
5
2
1
1
2
2
1
1
3
1
1
1
4
1
1
1
4
2
1
1
1
4
1
5
1
1
1
3
1
1
1
9
2
1
1
3
2
4
1
1
4
2
1
10
1
1
1
1
1
2
7
1
1
3
3
8
2
1
1
1
16
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
2
1
3
1
1
1
3
1
11
2
6
85
1
4
1
1
1
3
2
5
39
2
2
1
1
6
1
1
4
5
1
1
1
1
1
1
1
2
2
1
1
3
1
23
2
1
1
4
2
1
2
1
5
29
1
7
1
1
5
1
1
10
1
3
1
4
2
1
3
1
1
1
2
1
1
1
1
1
1
3
2
1
1
5
1
6
2
10
2
5
1
2
1
1
1
5
1
9
1
2
1
11
2
3
1
1
2
1
1
1
1
2
2
12
11
6
19
2
9
1
2
1
3
1
1
1
2
1
4
4
1
1
2
3
2
1
3
1
1
2
1
3
2
1
2
3
1
5
1
1
1
3
1
16
6
3
2
1
8
1
1
1
1
2
1
8
1
2
1
2
1
1
1
1
2
1
1
1
30
1
4
4
2
2
1
3
1
1
2
1
1
150
1
1
1
8
1
1
5
1
2
1
4
4
2
1
1
1
1
1
1
1
13
3
1
1
2
3
1
1
1
1
1
1
1
1
1
2
4
4
1
1
1
2
3
1
4
9
2
1
6
1
5
1
20
3
1
2
1
1
1
2
2
6
1
1
1
1
4
3
1
4
2
1
2
1
2
4
1
2
11
4
3
1
12
2
3
1
2
1
1
1
1
3
7
2
1
2
1
3
1
2
1
18
1
7
1
2
1
6
1
9
2
1
2
1
1
4
1
3
1
2
3
4
1
2
1
1
1
4
1
2
1
4
1
5
4
2
1
12
2
1
4
1
1
1
1
7
2
1
1
2
18
8
6
3
1
1
4
3
15
3
1
1
1
1
1
2
1
2
1
1
2
2
1
3
2
1
1
1
1
4
3
1
2
2
1
3
3
1
2
187
1
3
3
2
1
1
5
1
1
2
1
1
2
1
1
2
4
12
1
4
1
1
1
13
9
1
3
1
1
2
5
2
1
2
4
2
3
2
2
1
1
2
5
1
4
1
3
2
9
1
3
4
1
1
17
2
3
1
5
1
2
1
2
1
1
2
1
1
2
4
1
2
1
1
1
3
1
1
2
5
1
1
1
14
7
2
1
1
3
1
6
3
1
1
3
1
1
5
11
2
4
3
8
1
7
4
1
1
1
3
1
2
1
2
1
1
1
40
1
1
1
3
1
2
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
5
35
371
1
1
4
2
16
1
5
1
2
9
7
1
1
1
1
1
2
4
6
1
4
4
1
8
2
3
5
2
6
2
2
2
2
6
2
1
1
1
2
1
1
15
1
1
1
1
1
1
5
1
1
10
1
1
9
6
1
1
6
1
1
1
1
1
1
13
1
1
2
4
2
1
2
1
1
1
1
3
2
1
4
10
1
1
1
2
1
1
1
