1
1
1
1
5
2
1
1
1
1
1
1
1
1
4
12
3
1
1
1
1
4
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
3
1
1
2
1
2
1
1
1
1
3
3
4
1
1
2
1
4
5
1
1
2
1
1
1
2
2
4
1
1
1
1
1
1
3
1
1
2
1
28
2
3
1
4
1
2
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
4
1
1
1
1
1
1
9
1
1
1
1
80
3
4
1
1
1
1
1
2
10
1
1
6
1
1
1
2
2
5
1
1
2
1
1
1
13
1
1
7
1
2
2
1
1
1
1
1
1
1
15
1
1
2
1
7
1
1
1
23
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
2
3
4
1
2
1
1
1
1
2
1
2
3
1
33
1
1
2
1
1
2
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
5
1
1
3
1
1
1
2
2
1
1
1
1
4
1
2
1
2
1
1
2
1
1
1
1
1
1
1
20
1
1
1
2
2
1
1
1
1
1
1
1
108
1
1
1
2
1
1
1
1
2
1
18
1
1
1
1
1
2
1
3
2
1
2
1
1
2
1
1
16
3
1
3
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
2
1
1
1
4
6
2
1
1
1
1
2
1
2
1
1
1
1
1
4
10
134
1
1
1
1
3
1
2
1
1
2
1
1
2
2
2
1
1
3
1
1
15
1
1
1
1
1
1
1
2
2
1
1
1
7
1
2
1
1
4
1
1
3
1
1
2
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
8
2
1
1
2
3
1
1
1
1
2
1
1
1
3
6
1
1
5
6
3
1
2
13
1
1
1
4
3
1
1
1
1
1
4
1
1
1
2
2
1
2
6
1
1
2
1
1
16
7
1
1
1
1
3
2
1
1
2
1
1
1
3
1
1
1
4
1
2
2
1
1
2
1
1
1
1
10
4
2
2
1
8
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
2
1
2
1
4
2
1
2
1
1
1
1
1
1
1
1
1
78
2
1
1
7
2
1
1
1
1
6
2
2
1
1
4
1
1
6
2
3
2
1
1
1
18
1
1
1
1
1
1
2
2
1
1
1
3
7
1
2
1
1
1
1
2
3
2
2
1
1
1
5
3
2
5
1
1
4
1
1
3
1
1
1
1
13
1
1
2
6
3
1
1
1
1
1
3
5
1
1
4
3
1
1
3
1
32
1
1
1
2
6
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
5
4
1
1
1
1
1
1
1
1
1
1
8
1
4
1
2
3
1
5
1
3
1
3
56
1
2
4
2
1
2
4
1
4
1
6
2
1
1
6
1
1
1
1
1
2
2
1
2
2
1
9
1
1
78
6
5
1
3
1
3
1
1
1
1
1
4
1
1
1
1
1
1
6
1
1
1
1
5
1
1
4
2
1
1
1
2
1
1
1
1
1
1
2
5
8
5
1
6
1
4
1
1
7
2
1
2
1
1
1
1
1
1
1
2
5
1
2
1
1
2
1
11
1
1
1
1
1
2
1
3
7
4
1
1
2
6
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
4
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
4
4
2
1
2
1
1
1
3
1
2
1
1
2
1
1
1
4
1
1
1
1
1
2
1
3
28
1
1
1
1
1
1
1
6
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
16
1
1
2
1
1
1
1
2
10
2
1
1
3
1
2
18
3
2
2
2
2
2
1
1
4
1
1
1
1
1
2
1
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
2
2
1
2
1
1
1
1
4
1
1
1
35
2
1
1
1
1
1
3
2
2
1
3
1
4
2
1
1
1
1
1
2
27
1
1
4
1
1
2
2
1
1
2
4
2
1
1
1
4
1
1
6
1
2
1
1
2
1
1
1
4
1
1
2
2
29
1
1
3
39
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
2
1
2
2
3
1
1
1
2
3
2
2
2
2
1
4
1
1
1
1
1
3
1
1
1
2
4
1
1
1
1
14
1
2
1
1
1
1
1
1
3
4
1
1
1
1
1
1
2
1
2
1
4
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
4
1
1
3
2
1
1
1
1
1
1
2
1
1
9
1
2
1
1
1
13
1
1
1
1
1
2
1
1
2
10
2
1
1
1
1
1
1
1
2
1
17
1
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
1
1
3
1
2
1
1
1
2
2
1
5
1
1
1
4
1
2
1
1
1
2
4
1
3
1
2
4
2
1
1
2
2
1
1
2
1
1
1
3
1
23
1
1
9
2
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
5
2
1
2
1
1
1
3
1
2
1
2
4
1
1
4
22
28
4
1
2
2
2
2
6
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
2
1
1
1
1
12
1
16
3
1
2
1
1
1
2
1
2
2
1
4
5
1
1
3
2
1
11
9
1
1
29
1
1
1
1
1
1
1
1
7
1
3
1
10
1
1
1
2
1
2
1
1
1
1
4
1
1
1
1
2
1
2
1
1
1
1
1
0
1
2
1
52
1
1
1
14
1
2
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
9
1
1
1
15
2
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
7
8
1
1
1
9
1
1
2
1
1
6
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
3
2
1
3
1
1
2
1
2
2
7
2
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
5
2
1
2
2
1
1
3
1
2
1
1
4
1
5
1
1
10
1
2
4
1
1
2
1
1
1
9
3
9
1
1
1
1
3
1
1
1
7
1
1
2
6
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
8
1
1
0
1
1
1
1
1
1
6
1
4
1
1
6
1
1
1
1
2
3
3
1
2
1
2
1
1
1
2
23
1
4
1
3
1
2
1
1
1
12
1
14
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
2
2
1
1
1
3
2
3
2
1
1
1
1
1
2
1
1
1
11
4
1
1
1
1
5
1
2
2
1
1
5
1
1
2
2
2
2
4
1
1
1
1
2
1
1
3
1
24
1
1
1
1
8
1
6
18
1
1
1
2
1
3
2
1
2
2
1
2
4
2
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
6
1
1
1
2
2
136
1
1
1
3
1
1
1
1
1
23
1
2
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
5
1
1
2
1
1
22
1
1
4
6
1
1
5
24
1
1
10
4
12
1
3
2
1
4
7
1
1
1
1
1
1
1
1
1
31
1
1
1
2
1
3
1
2
1
1
1
2
1
6
1
1
1
1
1
1
3
1
1
1
8
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
11
1
2
1
1
3
1
1
2
2
2
1
1
1
1
14
4
1
1
1
1
1
1
1
1
6
17
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
2
1
7
1
1
1
1
2
1
1
1
3
5
1
1
3
2
2
2
1
1
5
1
1
1
6
1
7
42
1
1
3
1
2
1
1
1
1
1
1
4
1
1
1
2
1
1
1
2
5
1
1
1
2
1
1
1
2
1
1
1
1
1
3
3
2
2
1
1
1
47
1
1
5
1
1
2
4
2
2
1
1
1
1
1
1
1
6
2
1
1
1
2
1
2
1
1
1
8
1
1
1
1
4
1
69
1
1
1
1
6
1
1
3
1
2
1
1
1
1
1
1
1
1
9
1
2
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
1
5
3
1
1
1
1
11
1
1
1
1
2
3
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
5
1
1
9
1
1
1
2
3
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
2
1
1
4
2
2
4
2
4
1
2
1
1
2
1
2
2
2
2
1
1
2
1
1
2
1
1
1
2
1
5
1
1
1
1
2
3
2
1
5
2
2
2
1
1
1
2
1
1
2
1
2
1
1
2
1
67
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
2
1
1
3
2
1
2
1
2
4
1
1
1
1
1
1
1
1
1
3
29
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
9
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
2
4
1
2
1
2
12
1
2
1
1
1
7
1
3
2
1
1
2
2
1
1
1
1
1
1
20
1
4
1
1
2
1
1
1
1
1
1
4
1
1
2
1
2
3
3
2
3
2
1
1
1
2
1
1
1
9
2
4
1
1
1
2
2
1
1
1
1
2
2
1
1
4
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
2
3
1
1
2
28
1
1
1
1
2
9
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
8
9
1
1
1
3
2
1
2
1
1
1
10
1
3
1
1
2
1
3
1
2
1
2
2
1
4
1
1
1
1
2
2
1
1
1
6
1
1
2
1
1
1
2
1
11
3
9
1
1
1
5
1
2
1
1
1
2
3
5
1
1
1
1
2
1
1
1
1
1
127
2
5
68
1
1
1
1
3
1
2
2
1
1
1
1
1
7
1
2
23
1
11
1
1
1
1
5
2
1
1
1
1
1
2
1
2
1
4
1
1
1
22
4
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
6
1
1
1
3
2
1
1
1
3
1
1
1
1
2
2
2
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
7
2
3
2
3
1
1
1
1
1
1
4
2
2
1
1
1
1
1
1
4
1
4
4
2
2
1
1
1
15
1
2
2
4
2
1
2
1
1
2
1
1
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
8
1
1
3
1
2
1
2
3
1
1
1
1
1
1
1
5
2
1
1
1
29
11
1
1
1
1
2
2
2
1
1
1
1
2
2
1
1
2
1
1
4
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
2
1
1
1
3
5
2
1
1
7
2
1
9
1
1
2
2
1
1
1
1
1
1
1
2
4
1
1
2
1
1
2
1
1
1
1
1
1
8
2
3
1
2
2
1
1
1
2
1
127
1
1
10
2
3
2
2
1
1
2
1
2
2
1
1
1
1
1
1
2
1
1
14
1
1
1
1
2
1
2
1
1
4
1
1
1
2
1
3
5
1
2
2
2
1
1
5
1
1
5
4
2
1
1
3
1
1
2
1
2
1
4
1
1
1
2
2
21
1
1
2
1
1
1
1
1
1
1
5
1
1
1
3
1
1
2
1
1
1
2
2
2
2
1
1
2
2
1
1
1
3
1
1
2
1
3
1
1
1
1
5
1
1
1
7
1
2
4
2
5
3
1
1
1
1
1
1
1
1
1
2
1
2
2
8
2
1
1
1
1
1
1
1
12
2
1
2
1
2
1
3
2
1
1
1
1
1
1
1
4
1
5
13
2
1
1
1
8
1
1
1
1
3
1
2
1
1
10
1
1
1
5
49
1
48
2
4
1
7
1
3
4
3
1
1
1
1
1
1
1
4
1
1
5
2
1
2
1
1
1
4
2
15
1
29
1
1
1
2
1
1
1
1
1
2
2
1
1
1
4
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
2
1
2
3
1
1
1
1
1
3
1
1
2
1
1
2
4
1
1
1
1
2
4
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
9
1
2
1
1
1
1
1
1
4
2
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
2
6
1
1
1
2
1
2
1
3
1
1
1
10
2
1
1
1
1
1
1
11
2
1
1
11
2
27
4
1
1
1
1
1
2
1
2
1
1
352
1
5
1
2
8
1
13
1
1
1
1
1
1
1
15
1
1
7
3
1
1
1
3
1
1
1
3
4
8
1
2
1
1
1
1
2
14
2
2
9
1
3
1
1
2
1
1
3
1
1
2
1
1
1
4
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
2
61
1
1
9
4
3
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
17
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
2
4
1
3
1
1
1
2
2
1
6
1
1
1
1
1
4
10
1
1
1
1
1
1
5
1
1
1
1
9
1
10
1
1
3
2
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
7
3
1
1
2
2
2
1
3
1
2
1
2
2
1
1
3
6
1
1
1
2
1
1
1
10
2
2
1
1
3
2
1
17
1
1
1
1
1
2
1
7
1
1
5
1
1
1
1
3
6
2
1
1
2
1
2
1
1
34
2
1
6
1
1
1
1
1
2
2
1
4
1
1
1
1
10
1
1
1
5
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
5
1
1
15
2
2
1
1
8
1
1
2
1
1
2
5
1
1
2
2
2
5
1
1
1
1
1
1
2
1
16
1
1
4
2
1
2
2
1
4
7
17
1
1
1
1
1
1
1
1
2
1
1
1
4
1
2
4
32
1
2
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
10
1
1
1
5
1
1
1
1
2
2
1
1
1
1
2
2
2
1
4
1
1
1
1
1
55
2
1
1
1
7
1
1
1
1
6
2
1
2
2
1
1
1
2
1
1
1
1
380
2
4
6
1
1
1
1
1
2
2
1
1
2
1
30
1
1
1
16
1
3
11
1
6
1
1
1
1
1
1
2
2
2
3
1
1
2
3
1
1
2
9
1
3
1
1
1
1
1
2
1
1
1
5
1
1
3
4
2
1
1
1
1
1
1
1
2
1
8
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
8
1
4
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
8
1
1
2
2
1
3
1
2
2
1
1
2
1
2
1
2
1
1
1
35
1
3
4
1
1
1
2
1
2
1
1
1
1
2
1
1
2
1
1
5
1
1
1
3
3
3
2
1
1
1
1
1
6
1
2
1
1
1
1
3
14
3
6
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
4
11
1
3
1
1
31
1
2
2
9
2
1
1
1
1
1
1
2
1
2
1
1
3
1
2
490
2
1
1
1
1
3
1
1
1
18
1
3
1
2
2
1
3
9
1
2
1
1
1
1
2
1
1
1
6
1
2
1
1
2
1
1
2
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
147
1
3
1
1
1
2
1
1
2
1
2
1
1
1
1
2
1
2
1
1
1
1
2
3
1
1
1
2
2
49
1
1
1
1
9
1
1
1
1
1
1
1
1
33
1
1
1
2
2
1
2
5
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
27
3
1
1
1
2
2
2
1
2
1
1
1
2
1
1
1
5
8
1
1
1
2
1
1
1
3
2
1
1
2
1
1
6
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
3
1
1
1
1
3
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
4
2
1
1
2
1
3
2
1
1
253
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
4
32
2
1
6
3
1
2
1
3
1
45
1
1
5
2
1
1
1
5
2
1
1
1
1
2
1
3
1
1
1
7
1
1
1
9
3
3
2
2
1
2
2
1
1
1
1
6
1
1
1
1
8
2
4
1
2
1
1
87
1
3
3
1
4
1
1
7
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
2
1
1
1
1
1
2
21
1
1
1
26
1
1
1
95
2
1
2
2
1
1
1
1
1
1
4
1
1
6
1
1
1
3
8
1
1
3
2
2
2
1
1
1
1
1
1
1
1
1
4
1
6
1
1
1
1
1
1
1
1
16
2
1
1
2
1
9
1
1
1
2
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
10
1
1
1
3
1
5
1
1
2
1
1
1
1
1
2
6
1
1
4
1
1
3
1
1
1
2
1
2
1
1
1
1
1
4
3
2
1
1
2
3
2
2
19
1
1
6
1
1
1
1
2
2
5
1
1
1
1
1
10
1
2
1
1
1
1
1
2
3
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
3
1
1
2
2
1
3
1
3
3
4
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
3
29
5
1
1
1
1
1
1
1
17
1
4
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
4
1
1
1
1
1
5
1
2
2
1
1
1
58
1
1
4
2
4
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
2
1
3
1
1
1
1
2
8
1
1
1
1
12
4
1
4
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
2
180
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
26
1
2
3
2
1
3
2
2
1
1
1
152
2
2
1
1
1
1
1
2
1
2
5
5
1
3
1
1
1
2
3
1
1
1
1
2
2
1
3
1
2
8
1
37
2
2
3
1
3
1
1
2
1
1
1
1
21
1
4
1
1
3
1
1
1
4
1
2
1
2
2
3
1
2
1
1
1
1
2
1
1
2
1
1
2
1
3
1
1
1
2
1
29
1
1
1
3
1
1
3
31
2
4
2
2
4
1
1
1
2
1
1
26
1
1
3
2
1
1
1
1
1
1
18
1
1
1
3
70
2
3
1
1
1
3
1
3
1
4
1
1
3
1
2
2
3
5
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
2
4
1
5
1
9
1
2
1
4
2
1
5
1
1
3
1
4
1
2
2
1
1
1
1
2
1
1
3
1
4
1
1
1
3
1
1
1
7
3
1
1
2
4
1
1
1
2
3
2
1
1
4
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
2
1
1
2
1
1
1
1
3
1
2
2
1
1
1
2
3
4
9
1
1
1
1
1
1
12
1
1
2
1
5
1
2
1
1
1
1
1
1
174
1
3
1
1
1
2
1
1
1
1
1
1
10
1
5
2
1
1
1
3
1
2
2
3
3
1
1
2
2
2
2
1
1
11
36
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
27
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
2
1
2
1
1
8
2
2
1
1
1
1
1
1
2
1
1
1
1
2
1
2
2
1
1
1
3
1
1
1
3
1
1
1
1
2
1
1
2
3
1
2
1
1
1
1
1
12
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
47
1
1
3
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
4
1
5
1
3
3
23
1
1
1
1
1
1
1
1
1
1
1
1