5
2
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
4
2
4
1
11
2
1
1
1
1
1
2
1
1
2
1
6
1
1
4
1
1
10
1
1
1
1
6
2
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
8
2
1
3
1
1
1
1
2
1
1
1
1
39
2
1
1
3
1
1
1
1
2
1
2
2
1
2
2
2
1
1
1
5
2
1
1
6
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
9
3
1
2
1
1
1
1
4
2
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
12
1
2
1
1
2
1
4
1
1
1
1
1
1
1
1
2
1
1
1
2
1
5
1
2
2
1
1
1
2
4
3
1
1
2
1
2
1
1
1
1
1
1
2
2
1
1
3
1
1
2
1
1
1
1
1
1
7
2
1
2
1
2
1
9
4
1
2
1
6
3
1
1
2
1
1
1
4
1
5
1
43
18
1
1
2
1
14
2
12
2
1
1
1
1
1
1
1
220
1
1
4
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
15
1
1
4
1
3
1
1
1
1
5
1
1
1
6
1
1
1
1
1
2
2
1
8
1
3
5
1
1
3
2
1
1
1
1
1
1
6
1
3
1
1
3
1
2
1
1
1
1
2
16
1
1
1
1
1
5
1
2
1
2
1
3
1
2
4
2
1
1
2
5
2
6
1
4
3
1
2
3
1
566
3
27
1
1
1
1
1
6
1
4
1
1
12
1
1
1
18
3
1
1
1
1
6
3
1
1
1
2
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
17
1
1
2
1
1
1
1
1
2
139
1
1
1
1
1
14
3
1
4
1
1
1
2
2
2
1
2
1
1
48
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
7
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
3
2
2
21
1
1
1
1
1
2
4
1
1
3
2
1
1
1
1
1
1
4
1
1
2
11
1
2
1
1
53
2
2
3
2
1
1
1
1
2
1
2
1
1
2
1
1
1
4
1
1
2
1
19
1
1
9
1
8
1
1
1
1
8
1
1
1
3
2
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
1
3
1
77
1
1
1
12
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
2
1
1
1
1
1
7
19
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
6
1
1
1
2
1
1
1
1
1
1
1
1
17
1
1
1
4
2
2
2
1
1
1
2
1
1
2
18
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
1
15
1
2
3
1
1
2
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
6
2
2
1
2
1
1
1
4
1
1
1
1
3
1
3
3
2
1
1
1
3
1
2
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
4
1
2
1
1
3
1
1
1
2
1
2
2
2
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
5
2
53
1
1
1
1
3
6
4
1
1
1
1
1
1
1
1
8
1
1
1
3
1
5
1
1
1
1
2
1
3
2
5
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
1
2
2
1
1
3
2
1
1
1
1
1
1
1
1
1
10
1
1
1
1
5
8
8
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
11
5
1
1
1
1
238
219
1
1
3
3
2
1
1
2
1
1
6
1
1
1
2
1
1
4
1
2
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
2
2
1
2
1
2
1
1
1
1
1
2
1
1
2
1
2
2
2
6
1
1
1
1
2
1
1
1
1
5
2
2
1
1
1
1
1
15
7
1
79
1
1
1
2
1
1
1
1
14
1
1
1
1
1
1
1
1
2
12
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
6
1
1
13
1
1
2
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
10
2
1
2
2
1
1
1
1
1
2
16
1
1
1
1
1
1
1
1
1
1
31
5
1
2
1
1
1
1
2
1
1
1
1
4
5
1
1
2
1
1
1
1
1
2
1
27
7
1
5
1
1
2
1
1
1
1
1
1
1
1
1
2
1
14
1
1
2
1
1
3
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
4
1
5
2
1
1
1
1
1
8
2
1
11
3
1
1
2
1
12
1
2
11
1
1
1
2
2
2
1
1
1
1
2
2
6
1
1
2
1
1
1
5
1
1
1
1
1
6
2
2
3
12
1
1
1
1
1
1
2
1
19
1
1
1
1
1
1
3
8
4
1
1
1
18
4
1
4
12
1
1
7
1
2
3
1
1
2
3
2
1
1
1
1
2
1
1
1
1
1
1
1
9
2
1
2
5
1
1
3
1
7
3
1
1
2
6
4
1
1
2
1
6
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
2
2
1
1
3
1
1
5
1
1
1
2
1
1
4
1
2
1
1
2
2
1
1
1
1
30
2
1
1
1
1
4
1
1
1
1
1
1
1
407
1
1
1
1
1
1
4
1
2
1
2
1
1
1
2
9
4
1
2
1
2
1
3
1
2
1
2
1
1
1
1
1
2
10
1
1
1
1
1
1
2
2
5
4
2
2
2
1
1
1
1
3
2
2
15
1
1
2
1
6
1
15
18
1
1
2
1
2
2
1
1
1
1
2
2
5
1
10
1
2
9
1
1
1
1
1
10
1
27
3
2
1
8
3
1
1
1
1
1
1
1
24
4
1
1
1
4
1
1
5
2
1
1
1
1
5
17
1
1
1
3
1
1
1
1
3
1
1
1
1
4
1
2
1
1
2
1
1
1
1
1
1
2
2
1
4
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
5
1
4
1
1
3
1
1
1
85
1
1
1
8
1
13
1
1
1
1
1
4
2
4
1
5
4
1
1
1
2
1
1
1
1
3
1
2
2
1
1
1
1
2
26
1
2
4
1
3
4
1
1
1
16
10
1
1
1
1
3
1
1
1
1
1
1
3
2
4
22
1
1
1
1
2
3
1
1
1
1
2
1
2
1
1
1
1
1
1
2
2
1
1
1
6
1
1
2
2
13
1
1
2
1
2
3
1
1
1
1
2
2
1
1
1
14099
2
1
1
1
1
1
1
2
1
1
5
1
11
1
1
2
1
1
1
1
1
1
2
1
4
1
9
1
1
1
1
3
1
1
1
1
1
2
3
1
1
2
1
1
5
1
1
1
4
2
2
1
2
1
8
1
1
1
1
1
1
1
33
1
1
1
1
3
1
1
1
2
10
22
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
1
1
22
1
1
74
1
1
2
1
2
1
7
1
13
1
1
3
1
1
2
4
1
1
1
1
3
1
47
8
1
3
5
2
1
1
1
2
5
7
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
6
1
1
2
3
26
1
6
1
1
1
1
1
1
1
336
1
1
1
1
1
1
35
22
1
21
1
1
1
2
2
1
1
1
2
1
1
1
2
1
1
1
2
1
1
12
1
4
1
1
1
1
20
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
2
1
1
1
1
1
4
1
1
1
2
1
2
1
18
4
3
1
1
1
1
13
1
2
2
1
4
14
63
1
1
1
1
2
2
1
1
1
1
1
1
7
1
3
2
1
1
1
103
1
8
3
1
3
1
11
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
4
1
1
3
5
3
6
4
8
1
1
2
1
4
2
1
4
1
1
1
1
1
1
15
11
1
1
2
2
1
1
2
1
1
1
1
1
25
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
6
1
23
1
3
4
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
18
1
2
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
4
3
1
3
1
2
1
1
1
1
2
1
3
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
6
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
2
4
3
4
2
1
1
1
1
2
3
9
1
1
1
1
15
1
2
1
1
1
1
1
1
1
1
1
4
3
1
1
4
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
3
5
4
1
1
2
1
1
1
1
11
1
1
1
2
1
2
2
1
2
1
1
1
1
1
5
3
13
13
1
3
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
4
1
1
2
1
1
1
1
1
10
8
3
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
12
1
1
4
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
2
55
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
2
1
4
1
1
1
1
3
2
1
1
2
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
42
1
3
1
2
1
1
1
4
1
2
1
1
1
1
2
1
1
1
1
2
1
1
7
9
3
1
1
2
1
9
5
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
3
5
1
5
521
2
1
1
1
1
1
2
1
4
4
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
9
1
1
2
1
22
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
11
2
2
1
17
1
1
1
1
2
50
4
1
4
1
1
1
6
4
1
8
13
2
1
2
1
1
4
11
1
1
1
5
1
6
3
3
9
1
1
1
3
1
1
1
1
6
1
1
1
4
1
2
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
2
1
4
9
1
1
1
2
1
1
1
1
1
5
1
1
5
2
1
2
1
1
1
3
1
2
2
30
1
1
1
2
1
1
1
9
1
4
1
1
2
1
10
1
1
1
1
1
1
2
4
2
1
10
1
3
1
5
1
1
17
2
14
1
1
1
1
4
4
1
1
1
1
1
2
1
7
1
1
1
1
1
2
1
1
1
4
9
1
124
1
1
1
1
1
1
1
1
9
1
1
7
1
1
8
1
1
1
9
1
2
2
4
2
1
1
1
2
1
1
3
2
5
1
1
7
10
1
1
6
1
14
1
2
1
1
1
11
4
1
2
1
1
2
8
1
8
2
4
1
1
6
6
1
1
7
1
1
1
1
3
1
1
4
4
1
2
1
4
26
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
2
2
3
4
3
1
2
2
1
1
1
1
1
2
3
1
2
2
6
3
1
1
25
1
1
6
1
4
22
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
4
2
45
1
1
1
1
1
1
1
1
1
1
3
12
3
1
1
1
1
15
1
2
4
2
7
1
1
1
2
1
1
1
1
1
1
1
10
1
1
1
2
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
12
2
3
1
1
1
2
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
9
5
1
1
1
6
51
1
23
1
2
1
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
4
2
1
1
2
1
2
1
1
1
2
1
1
1
17
1
1
1
1
2
1
3
6
1
12
60
1
1
17
1
1
1
1
1
2
1
51
24
3
5
11
1
2
5
3
1
1
1
2
1
3
2
1
3
1
1
1
12
6
9
1
1
1
1
3
5
1
1
1
1
1
1
2
1
1
1
1
1
2
18
1
8
10
1
1
1
1
1
1
2
4
3
1
1
1
4
1
1
1
1
1
1
20
1
1
1
8
9
1
1
1
1
3
1
1
13
1
1
1
1
5
4
3
1
1
2
3
2
3
1
4
1
1
24
1
3
2
1
1
1
1
1
2
1
1
1
1
83
1
1
1
1
1
1
1
3
2
3
1
1
3
2
1
1
6
2
3
85
1
1
1
1
12
105
2
1
1
1
1
3
1
2
1
3
1
3
1
3
2
4
3
386
1
9
1510
1
2
1
1
1
1
9
1
1
2
1
2
1
2
1
2
1
3
4
1
1
1
1
1
1
3
7
