0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-24 04:08:49 +00:00
OI-codes/S2OJ/661/data/flower6.out

25001 lines
49 KiB (Stored with Git LFS)
Plaintext

40
51
30
44
37
44
53
28
30
37
14
31
44
31
36
22
32
31
37
40
31
23
21
20
39
47
27
16
21
7
13
28
30
22
16
33
21
20
29
23
28
18
19
13
18
29
14
21
18
11
20
16
25
24
21
32
22
25
28
38
12
15
26
22
14
17
8
26
22
34
14
16
12
19
19
10
9
18
11
12
12
21
8
21
18
10
13
7
24
14
14
18
10
21
18
11
6
27
13
17
27
11
17
6
21
33
8
23
13
12
27
11
19
6
15
13
46
24
10
18
15
9
11
19
11
13
16
7
18
15
10
13
20
16
22
7
18
8
10
11
21
21
7
12
15
16
9
11
10
9
17
28
11
24
9
9
13
18
16
16
17
24
18
7
5
14
6
22
6
17
16
7
22
10
8
7
8
13
9
7
13
11
9
26
17
5
10
14
4
15
15
9
10
9
24
12
14
11
14
12
15
16
20
13
10
9
16
3
9
10
20
9
9
15
5
5
7
11
13
15
17
7
7
10
9
2
11
8
8
18
8
10
4
25
10
8
10
7
6
6
7
7
6
9
9
8
12
5
6
20
15
13
7
13
9
15
11
5
7
13
22
16
4
9
12
5
8
8
18
10
10
14
6
12
12
11
8
5
12
20
6
9
3
5
8
18
3
5
13
16
9
4
6
21
10
15
8
18
11
9
8
21
10
8
10
4
5
7
6
7
6
16
10
19
8
6
9
7
6
22
9
5
12
12
6
11
6
11
5
15
9
15
13
16
7
22
14
6
12
4
14
11
5
8
13
14
9
11
5
6
10
4
7
3
5
11
12
8
12
14
11
9
6
11
6
8
8
5
7
6
12
19
7
26
5
7
8
27
9
4
6
6
5
7
12
5
8
5
9
4
4
7
3
14
7
10
8
11
5
9
11
7
8
6
6
8
8
6
9
10
1
7
7
19
12
6
3
5
6
6
3
16
7
7
3
3
2
13
7
15
7
12
4
6
17
10
4
12
3
10
4
5
6
6
6
8
8
7
10
9
2
7
12
14
17
6
17
8
5
5
11
2
2
7
2
5
4
4
5
9
4
18
7
6
15
16
12
9
10
16
2
3
6
5
6
5
9
5
8
22
7
3
15
2
8
7
6
9
11
6
8
5
7
11
9
11
7
3
3
3
3
10
12
8
2
3
5
17
13
5
2
6
16
5
5
4
12
9
5
3
5
4
7
18
9
5
6
14
6
7
4
2
1
5
6
12
9
4
4
6
5
7
4
8
4
7
4
13
15
13
7
14
12
8
6
11
10
4
5
3
4
12
4
6
2
3
5
5
2
3
3
3
10
3
11
8
6
7
12
3
8
11
4
9
5
5
18
5
3
7
6
2
2
3
9
6
9
6
3
2
8
7
4
11
3
4
4
9
3
2
4
2
2
5
5
4
4
7
4
9
5
4
3
5
5
5
9
5
4
4
3
17
4
4
5
4
12
4
5
8
12
5
13
5
2
3
3
4
8
10
10
3
3
3
5
3
7
5
5
1
14
4
10
4
6
3
8
5
4
3
4
5
3
6
8
2
1
5
0
2
22
3
15
4
7
1
9
5
4
2
10
3
4
11
6
7
10
7
3
1
3
7
0
19
3
7
6
2
11
4
4
6
7
6
3
8
6
3
4
2
6
4
8
5
2
12
8
3
5
3
8
7
9
5
6
13
4
4
13
5
5
2
8
2
0
5
6
3
12
6
3
5
6
2
3
14
6
17
4
6
6
9
1
5
5
4
8
5
9
7
7
28
8
2
2
4
3
1
3
2
6
7
6
13
0
1
0
8
9
9
2
3
2
16
5
14
4
9
5
5
6
4
3
15
9
5
8
4
5
4
3
9
5
5
7
11
4
10
7
6
6
3
8
3
10
12
2
1
0
3
3
3
6
5
3
18
2
5
4
2
5
5
8
5
4
3
3
2
5
5
8
7
1
7
5
7
3
7
5
2
7
5
3
5
8
4
3
11
4
4
8
11
13
5
9
5
6
4
2
1
6
4
5
6
5
15
5
7
4
7
8
11
7
5
2
6
6
2
5
4
4
8
5
14
7
6
11
7
22
5
9
6
3
1
6
2
1
1
16
6
12
2
3
6
7
8
1
7
3
8
9
5
7
5
8
3
8
2
4
4
1
2
3
5
6
0
4
3
5
9
9
2
5
7
5
3
3
3
3
3
7
3
3
8
3
2
4
4
18
6
3
1
4
0
4
10
5
3
5
6
2
4
12
14
1
7
3
4
2
3
3
3
2
7
4
4
3
7
5
3
7
10
2
8
3
5
11
3
3
5
5
8
2
3
3
4
5
7
4
6
4
3
3
11
4
5
6
5
5
6
4
4
1
4
2
2
7
8
10
2
13
2
4
2
4
2
3
7
0
1
4
4
7
12
7
8
3
3
6
3
2
0
3
5
4
2
3
4
9
6
4
3
3
9
2
5
6
14
8
3
8
3
4
1
5
4
4
5
4
3
5
4
5
5
7
4
8
3
5
11
5
4
12
6
1
7
6
8
7
3
7
6
5
2
2
5
3
4
1
1
3
4
3
3
3
1
1
2
0
2
14
2
8
4
8
8
2
13
6
3
2
4
0
4
7
7
5
2
1
4
7
6
9
9
3
3
1
2
3
2
5
3
4
8
4
5
5
2
3
10
3
3
1
2
0
8
6
4
24
2
8
4
1
5
4
13
7
4
4
5
2
6
6
7
8
4
5
5
0
3
2
1
4
4
6
2
0
5
1
3
4
1
7
7
4
2
13
4
4
6
1
2
6
8
7
4
1
2
9
5
6
3
5
4
2
3
8
8
5
5
2
4
4
6
3
2
13
3
3
4
4
7
5
8
5
1
8
4
2
6
3
10
2
2
4
1
5
5
3
3
4
0
3
0
0
5
1
4
4
7
5
4
7
6
4
6
3
3
3
5
3
4
4
5
1
4
0
1
4
6
11
1
3
1
3
2
7
0
3
10
4
3
5
4
6
2
1
4
2
5
5
2
4
6
8
4
0
5
1
2
1
2
2
2
3
2
10
1
4
7
3
4
5
5
3
4
3
11
4
1
6
1
3
3
3
2
5
5
11
4
5
7
5
2
3
3
3
3
4
4
6
3
4
5
1
3
3
4
10
2
2
4
3
1
17
3
5
3
4
3
7
0
4
7
2
2
4
10
4
4
11
3
0
2
2
2
0
2
2
3
2
2
7
4
7
2
7
7
3
3
4
4
3
3
2
3
1
4
1
4
2
3
4
5
5
3
4
0
3
2
7
4
3
2
2
4
8
2
4
3
9
2
2
4
1
2
4
5
1
0
2
4
1
3
5
3
1
1
2
4
4
2
4
4
2
3
6
11
3
3
4
5
2
5
1
2
0
5
2
4
2
0
4
0
5
1
6
3
3
8
3
2
7
1
2
9
11
4
2
4
3
1
0
2
2
2
9
0
3
4
6
2
1
4
1
6
13
17
6
9
6
4
18
6
1
4
2
5
27
6
3
7
4
2
1
4
3
6
2
3
10
6
3
5
8
2
1
8
2
1
6
3
2
3
7
1
0
1
1
3
4
2
6
5
2
0
4
3
6
3
8
5
2
2
3
3
2
5
1
3
5
1
2
1
6
3
7
7
7
4
5
3
1
6
1
6
5
3
4
5
2
5
6
2
1
20
8
4
5
16
2
13
2
1
3
1
12
3
1
1
6
2
9
3
2
3
2
5
2
4
2
1
4
6
2
6
4
4
3
2
1
1
7
5
6
4
4
0
3
4
4
3
2
3
3
1
3
2
3
2
6
3
4
4
3
4
4
2
4
3
3
2
4
2
2
10
4
4
1
2
5
2
6
1
8
1
5
5
1
2
7
1
2
3
2
5
10
0
1
0
4
1
4
1
3
0
14
7
3
21
6
0
0
2
6
2
0
2
8
7
2
1
18
4
2
11
4
5
10
11
1
2
4
2
1
2
5
4
4
2
16
2
5
1
3
2
2
3
2
3
3
3
3
4
2
0
1
0
2
1
5
3
2
4
1
10
4
4
2
2
1
0
1
6
1
2
0
2
1
3
2
4
6
4
3
5
4
4
5
1
9
7
4
3
6
5
5
6
1
2
1
4
3
9
5
2
6
2
4
2
1
1
6
1
5
1
3
3
2
6
4
2
2
0
1
3
4
3
2
9
2
2
3
4
2
0
1
6
4
1
3
2
1
2
2
1
2
4
4
2
2
3
2
7
2
3
2
6
1
3
0
2
3
1
2
3
1
2
5
1
7
2
1
1
2
10
1
1
4
3
8
3
3
0
4
0
5
7
1
5
6
4
3
5
4
2
6
1
4
7
2
12
4
0
8
0
2
4
6
2
5
7
2
3
3
5
5
2
4
6
3
2
5
5
2
2
5
4
2
0
2
4
3
2
3
1
1
1
2
2
5
5
15
1
1
3
4
2
2
6
0
0
6
5
1
2
3
5
4
0
3
7
2
2
1
11
3
0
1
3
17
5
2
6
1
6
3
4
6
2
4
3
0
4
2
2
1
2
1
6
2
4
5
3
4
2
2
9
2
2
0
1
3
4
2
1
3
4
3
1
2
4
2
2
2
3
10
11
3
2
5
4
2
7
1
3
5
10
2
5
2
0
5
2
2
2
17
4
2
3
3
2
1
7
1
0
3
4
4
2
1
3
0
2
3
1
3
3
4
2
4
1
8
10
1
3
2
4
0
2
3
3
4
1
2
1
2
1
1
5
3
10
2
5
3
2
3
4
1
2
0
3
10
2
0
2
1
5
1
5
4
2
5
3
4
4
1
1
6
2
3
4
1
3
0
2
1
2
3
2
3
2
3
2
3
2
1
1
2
1
10
2
3
2
3
1
3
0
5
10
3
0
2
2
5
2
6
4
5
3
3
4
1
0
1
2
7
5
7
4
3
1
0
3
0
3
3
2
1
3
1
3
1
4
2
0
6
10
13
2
2
2
2
9
9
0
3
2
5
0
3
0
2
2
1
6
3
1
1
2
2
10
1
1
1
1
2
1
4
1
1
1
1
3
4
0
1
3
0
3
1
2
2
2
1
1
10
2
3
6
1
4
4
5
1
1
2
1
3
2
3
4
5
3
1
2
1
1
1
5
2
2
1
2
3
3
4
4
4
1
14
7
0
0
9
2
2
9
2
4
2
4
4
5
2
2
1
5
2
1
0
0
3
0
2
5
3
0
1
3
1
2
0
1
4
2
1
3
1
2
10
6
0
1
2
2
1
2
5
2
1
4
3
0
3
5
0
1
1
2
4
1
2
3
2
4
1
1
1
1
2
1
3
2
2
6
4
5
5
3
2
5
2
2
2
3
5
0
1
4
0
2
3
0
1
13
1
2
1
1
1
13
3
3
2
1
0
4
8
9
1
3
3
2
3
3
2
2
4
5
22
1
2
4
0
3
0
2
1
2
1
5
3
1
7
0
2
3
5
2
5
1
2
7
1
0
2
2
0
0
1
1
2
2
1
2
4
3
2
1
4
7
0
0
0
6
1
2
2
3
5
3
0
4
8
0
1
3
2
0
1
2
3
3
3
2
1
1
2
0
1
3
2
4
1
1
3
6
3
3
3
3
2
9
4
3
4
3
2
1
7
2
1
2
2
4
2
5
0
4
0
2
8
6
8
1
3
2
0
1
3
5
2
3
2
1
0
5
1
1
3
1
1
7
3
1
3
3
1
3
1
3
6
3
4
11
1
2
1
6
1
3
1
3
2
2
1
4
5
3
2
0
3
2
6
2
3
0
2
2
6
3
3
3
0
13
2
2
2
3
2
2
0
1
0
3
0
1
3
3
0
5
1
1
2
1
7
1
1
4
3
2
2
3
2
2
4
3
2
0
1
0
2
0
2
1
18
2
1
1
1
2
3
3
9
1
3
2
3
4
1
7
1
2
2
3
1
4
9
4
1
1
3
1
0
2
2
3
11
3
2
3
0
5
9
1
5
0
2
0
1
2
1
1
0
1
3
2
1
0
3
0
5
0
4
1
3
3
1
3
3
0
2
2
2
6
2
2
1
3
2
3
15
1
2
3
3
3
4
2
2
3
2
0
5
2
2
1
4
6
3
0
1
2
1
3
6
4
8
2
2
0
2
1
1
2
9
4
1
1
2
0
1
2
2
0
3
1
4
11
1
3
3
3
2
0
4
3
0
1
2
1
2
2
4
3
1
3
0
2
0
2
2
5
3
2
2
0
1
2
1
2
11
1
1
1
3
0
3
1
6
1
1
1
2
2
4
0
0
4
15
2
1
0
1
2
1
2
4
1
3
0
0
3
0
2
2
2
1
3
1
0
1
4
3
1
2
0
2
2
4
1
0
0
3
1
0
2
1
3
5
0
17
0
1
3
4
4
3
0
1
1
4
6
4
2
3
1
1
6
0
4
2
2
3
4
3
5
1
2
1
4
1
3
2
1
2
2
4
0
2
0
0
4
1
2
4
2
1
0
1
1
2
5
0
2
4
1
0
3
0
1
0
1
2
0
3
5
1
1
5
9
8
2
1
0
3
2
8
13
0
2
2
0
2
1
1
2
1
2
4
7
2
2
4
4
2
1
3
2
0
1
3
5
1
1
0
4
3
5
1
1
5
1
3
3
0
2
1
2
2
1
3
0
1
2
3
2
0
5
4
2
3
1
2
3
2
1
3
0
1
0
6
2
1
5
0
1
5
2
0
1
1
2
1
1
3
0
4
1
3
1
2
0
5
0
2
3
14
0
2
10
1
0
0
2
0
3
1
4
0
3
6
1
1
4
1
1
6
2
2
3
0
0
1
0
3
2
0
2
1
0
0
0
0
2
2
2
2
1
0
2
1
0
2
3
0
0
1
5
10
5
2
2
1
2
2
2
7
2
2
2
3
11
2
1
0
6
1
0
3
2
1
2
1
1
2
1
1
0
2
3
1
3
7
3
1
2
3
0
1
1
1
1
2
6
1
3
0
0
2
0
2
1
2
0
1
1
7
3
3
1
11
1
1
1
1
5
0
1
0
3
1
3
6
1
1
2
3
2
0
10
0
1
4
0
1
2
1
3
3
6
1
1
0
1
1
3
2
1
2
1
0
1
0
3
3
0
10
0
1
2
1
2
2
0
1
1
0
0
0
3
0
1
1
1
1
5
0
4
0
0
3
8
1
0
2
1
1
1
2
3
5
1
3
25
2
3
16
2
1
0
2
0
1
2
1
9
3
2
1
6
2
2
1
4
1
1
1
0
5
0
0
0
3
1
2
3
2
3
1
2
1
2
7
5
0
2
2
1
1
2
3
22
0
2
0
0
1
3
1
2
0
2
14
0
2
3
3
1
0
0
0
2
0
1
3
3
2
1
2
1
8
0
2
1
2
0
1
2
1
3
6
3
0
2
3
0
4
1
1
5
1
2
1
4
4
4
0
2
9
1
3
4
2
2
0
4
2
1
9
4
1
4
9
1
2
2
1
5
3
2
0
2
2
1
0
0
3
1
3
1
0
4
4
2
6
1
1
1
5
0
2
1
2
3
2
0
3
5
7
0
5
1
0
0
1
1
2
3
5
3
5
1
1
2
1
0
2
0
2
3
1
1
3
3
0
0
7
0
2
1
3
6
2
8
1
15
2
2
1
1
2
3
1
1
0
1
9
5
12
0
0
3
0
3
2
0
1
1
0
1
3
5
6
1
2
1
1
2
6
1
2
6
2
0
3
2
2
2
1
3
2
7
2
1
2
0
1
1
0
2
1
0
0
1
1
0
2
1
1
2
6
1
2
1
2
1
1
2
1
2
2
3
2
1
3
0
2
2
2
0
0
0
1
0
4
1
0
1
1
12
1
1
2
1
2
3
2
1
1
2
1
2
0
2
0
5
1
4
1
8
2
1
2
3
0
0
0
2
0
5
1
0
0
1
1
3
2
1
3
3
4
6
4
1
2
2
1
1
4
1
3
3
2
2
0
0
0
2
2
0
1
1
2
3
0
1
1
2
1
2
1
0
1
8
1
3
0
0
1
2
0
2
4
4
3
3
3
4
0
1
1
1
1
3
2
4
1
4
1
4
3
1
1
3
12
1
1
4
2
2
4
1
2
1
2
2
2
0
1
1
1
5
2
1
2
0
4
0
1
4
3
1
1
0
2
1
3
0
1
4
1
0
1
0
0
3
0
2
0
1
2
0
0
4
2
1
1
8
4
0
1
3
1
2
0
3
1
3
3
6
2
4
1
2
2
22
1
1
1
0
1
0
1
3
2
1
2
3
0
1
3
4
2
0
2
1
2
2
7
1
3
0
0
1
1
9
2
1
0
0
0
2
0
12
4
4
3
0
3
2
2
2
4
4
1
1
3
4
1
14
3
1
2
1
5
1
1
1
1
2
7
2
1
1
1
1
2
2
1
1
3
1
17
3
1
0
9
1
0
1
2
0
1
3
0
4
11
0
2
1
0
1
1
2
1
0
0
1
7
0
1
8
4
3
2
2
0
3
1
1
1
1
2
0
0
4
1
1
1
2
9
1
1
0
4
0
2
1
2
10
0
4
6
4
0
3
0
2
1
2
2
3
1
0
0
2
1
3
2
0
1
2
6
1
2
2
1
0
1
2
0
1
2
1
3
0
0
4
0
0
1
0
0
0
1
2
1
1
1
0
1
3
1
4
2
0
1
2
2
2
4
1
0
1
2
3
3
3
0
2
3
1
0
0
3
1
1
0
3
1
2
1
1
1
0
2
3
0
2
0
1
2
1
8
3
2
1
3
0
7
0
0
0
1
2
1
1
0
4
1
0
1
4
1
0
0
2
1
4
1
0
1
1
2
2
3
0
1
8
5
1
4
0
3
1
7
1
0
1
1
1
2
0
0
0
3
1
1
1
1
0
11
0
0
2
5
3
0
1
2
2
3
0
3
2
1
4
0
1
1
2
0
0
2
0
0
1
4
1
0
0
1
0
2
4
1
2
10
1
0
0
1
1
3
1
1
4
1
2
2
1
2
1
2
2
18
4
0
1
2
2
1
5
3
2
3
0
2
1
3
0
1
0
2
0
1
1
0
0
1
2
1
1
2
1
3
1
1
4
1
1
3
0
2
0
3
3
1
1
2
2
2
2
1
0
1
2
1
0
1
1
1
1
3
1
7
1
0
0
1
3
16
0
7
2
4
1
1
0
2
2
0
1
0
0
0
0
0
1
1
4
6
1
0
0
2
0
2
2
0
2
1
1
1
2
2
0
1
2
3
5
2
0
1
2
0
3
0
1
1
1
3
0
1
2
3
1
0
2
2
1
5
4
6
0
0
0
2
2
3
1
1
3
0
3
1
2
2
0
0
1
9
1
1
1
2
1
0
0
3
1
6
2
2
2
1
2
1
1
0
1
1
1
0
1
1
2
5
1
1
2
4
0
1
3
1
0
1
1
2
2
2
8
1
0
0
1
1
1
1
1
0
2
4
2
0
0
0
1
0
3
2
2
0
0
4
0
1
0
3
7
0
1
1
2
0
2
0
1
1
1
3
0
1
0
2
1
2
1
0
1
0
0
4
3
0
3
2
3
2
1
3
0
2
2
2
1
1
1
0
1
0
2
1
1
0
1
1
0
1
0
0
0
1
1
1
10
0
1
3
1
2
0
0
3
1
3
0
4
2
0
0
0
4
4
1
3
0
0
4
0
1
1
2
1
4
1
2
0
0
4
2
1
2
0
1
1
8
2
0
0
1
4
1
1
1
2
1
3
3
0
1
0
0
0
0
0
2
10
4
2
0
1
3
1
0
3
0
3
0
3
1
2
10
2
0
2
3
0
0
1
1
1
0
2
6
3
10
3
1
7
1
1
3
3
3
0
0
1
3
10
0
2
0
11
0
2
1
1
0
2
1
1
1
1
1
1
3
2
1
0
2
0
0
2
1
1
2
2
1
0
4
2
0
0
1
1
1
4
1
2
1
2
2
3
2
1
2
1
2
1
0
0
1
1
3
2
4
3
0
2
1
2
1
0
0
2
1
0
8
1
3
0
1
9
2
7
2
8
1
1
1
0
0
2
1
4
0
0
3
2
1
0
2
12
1
1
1
2
0
0
3
2
0
0
0
2
1
0
1
0
0
2
0
2
2
0
2
4
0
2
1
4
0
1
2
0
0
1
0
1
2
4
1
12
0
1
1
2
2
2
2
1
1
0
2
1
1
2
2
1
1
1
2
1
1
11
1
5
1
1
1
1
1
3
0
1
3
0
2
0
2
1
1
3
2
0
0
3
0
0
0
3
0
2
0
2
2
2
1
0
0
2
0
3
1
1
4
6
1
1
2
1
1
0
1
2
3
1
1
1
0
0
2
2
0
0
0
1
11
0
3
3
2
2
1
1
1
4
2
3
2
0
0
8
1
0
0
1
0
1
1
2
2
2
2
1
1
0
0
1
0
0
2
3
2
10
2
0
2
2
0
2
0
1
3
1
0
0
1
2
1
1
4
2
5
1
1
1
1
0
0
2
0
0
2
0
4
1
1
1
1
0
1
0
2
11
3
0
1
1
1
1
4
5
0
2
0
0
3
0
1
0
1
1
0
1
2
2
1
4
0
0
0
4
0
1
0
2
1
1
0
1
0
2
1
1
0
1
1
0
1
3
1
3
11
2
8
0
1
2
1
1
5
3
8
0
0
1
1
1
3
2
0
2
15
1
0
1
1
0
1
11
4
2
2
0
0
2
0
2
1
5
1
0
2
0
1
1
1
1
2
2
1
1
1
0
1
0
1
1
0
2
4
0
2
3
1
0
0
1
1
3
1
1
2
2
1
0
0
2
1
0
1
2
0
1
2
1
1
6
0
1
2
1
0
0
0
14
2
1
0
0
2
2
0
4
1
2
6
2
0
1
1
0
0
4
4
1
3
1
1
9
3
0
2
2
1
0
1
0
0
8
1
1
0
0
8
1
0
1
0
0
0
4
1
1
1
1
2
0
1
2
1
1
2
0
1
1
1
2
1
0
1
1
1
0
1
2
2
2
3
0
1
1
6
2
0
2
3
0
1
1
0
1
0
0
0
0
1
2
2
1
3
2
1
1
2
1
0
0
2
1
1
2
3
1
6
1
4
1
2
1
0
2
4
0
0
0
0
0
0
2
1
0
2
1
1
0
1
0
5
0
1
1
1
0
1
1
2
0
0
0
1
2
1
2
0
4
0
0
0
1
3
0
2
2
1
3
10
1
1
0
3
0
0
3
0
0
8
0
0
2
2
1
3
0
4
0
1
0
1
2
1
3
0
0
0
1
12
1
0
3
1
1
1
1
0
2
4
2
1
1
2
1
2
1
1
2
3
0
0
0
1
1
1
0
1
1
3
3
1
1
2
0
1
2
0
1
0
1
0
0
2
0
0
2
1
1
0
1
0
0
0
0
0
0
0
3
3
2
0
2
0
1
0
3
1
1
1
4
1
5
0
1
0
2
0
0
0
2
0
1
1
1
2
0
1
2
2
0
2
5
1
1
0
0
1
4
1
1
0
4
1
1
2
0
0
1
0
2
0
0
2
1
0
0
3
0
0
0
1
0
0
0
0
2
0
0
2
3
0
2
0
0
0
0
0
2
0
0
0
0
2
1
3
0
2
1
4
0
0
1
0
1
1
3
1
1
6
2
0
9
0
2
0
1
0
0
0
1
1
0
0
2
1
1
2
1
0
1
1
0
1
0
1
1
2
0
0
1
2
2
3
0
1
2
1
0
2
1
2
2
0
0
1
0
0
0
2
0
0
0
5
1
1
3
0
0
2
1
2
0
1
0
1
2
0
9
1
1
0
1
0
0
0
3
0
0
1
0
0
3
2
0
1
1
0
2
1
2
0
0
0
1
0
3
0
1
4
0
0
2
2
0
0
2
2
1
0
1
0
9
3
2
2
4
5
2
2
4
1
1
1
3
1
1
1
1
2
1
5
1
1
1
1
2
1
1
1
3
2
1
1
1
0
1
2
3
2
0
2
0
1
1
1
2
15
0
1
0
3
1
0
0
1
1
7
0
1
1
2
0
1
3
2
1
5
1
0
0
3
1
0
0
0
0
3
0
0
4
2
1
4
0
0
0
2
1
1
0
0
0
0
0
1
0
0
0
0
2
0
0
1
0
1
2
2
1
2
1
2
1
1
1
1
0
0
0
1
0
1
1
1
1
3
1
0
0
3
0
0
2
1
1
0
3
1
3
2
1
4
1
2
0
0
0
2
2
1
0
2
2
2
1
2
2
0
3
1
1
3
1
0
1
1
3
3
11
1
1
14
0
0
0
1
0
0
0
1
3
0
1
0
0
1
1
0
4
0
0
1
0
0
0
0
0
1
1
1
1
0
0
5
2
6
2
1
0
1
0
2
0
0
1
0
0
0
0
0
0
1
2
2
9
3
1
1
2
1
2
0
0
9
13
0
1
1
1
1
1
1
0
0
1
4
0
2
0
0
1
1
1
2
1
2
0
1
1
0
2
0
1
0
1
1
1
0
1
2
9
10
1
0
4
0
2
6
1
1
0
3
1
0
1
1
1
1
2
1
1
0
0
2
1
1
0
2
1
2
0
2
1
1
8
1
1
2
1
2
1
1
1
2
0
1
1
0
1
1
1
1
1
1
1
1
0
0
0
1
3
1
2
1
8
2
2
2
0
0
3
1
8
1
0
0
1
1
1
2
0
0
1
0
1
0
1
0
0
1
0
1
2
2
0
1
0
2
0
0
1
1
1
1
0
5
1
1
0
0
1
1
0
1
1
0
0
1
1
0
1
1
0
0
2
0
0
1
0
0
1
1
1
2
1
1
2
2
2
0
2
0
1
0
2
3
2
2
4
2
0
2
1
1
0
3
1
0
1
2
0
0
2
0
0
0
0
1
0
0
1
3
0
0
1
1
0
0
2
1
0
1
1
0
0
1
0
1
1
0
0
0
1
1
0
1
1
1
0
0
1
1
1
0
1
3
0
2
0
0
0
7
1
0
1
0
0
0
1
1
0
1
0
1
0
3
0
0
0
1
1
8
0
2
1
1
0
2
0
0
0
0
0
1
1
0
2
0
2
1
2
1
1
1
1
1
1
0
2
2
1
1
0
0
0
2
0
3
1
1
0
1
1
1
0
0
3
1
3
1
1
1
1
0
0
0
0
1
0
2
4
1
0
1
3
0
0
0
1
1
1
0
0
0
0
0
1
0
0
3
0
1
0
1
1
0
1
2
1
2
2
2
0
1
0
0
2
1
1
0
0
0
1
2
0
1
1
2
3
0
0
1
0
3
0
0
5
0
1
0
1
0
1
1
0
1
1
0
3
2
2
1
2
2
0
1
0
2
1
0
0
1
0
0
0
1
1
1
1
0
0
1
0
0
0
3
0
0
1
0
0
0
0
2
0
2
0
3
8
0
0
0
1
0
2
0
1
0
0
1
0
2
0
0
2
1
2
1
1
2
0
1
1
1
1
1
0
2
0
0
0
0
1
1
2
1
0
1
0
2
0
1
0
2
0
0
0
0
2
1
0
0
1
0
1
5
0
1
2
0
0
0
1
1
24
0
2
1
0
2
2
0
0
0
0
3
1
7
0
0
0
1
0
0
1
0
2
0
0
0
1
0
2
1
4
0
1
9
0
0
0
1
1
1
0
9
0
3
0
0
1
0
2
2
1
0
1
0
1
0
2
2
0
0
2
0
1
1
3
1
2
2
2
0
8
0
2
1
2
1
0
1
1
6
0
0
0
0
0
0
3
0
1
1
0
1
0
1
1
1
4
1
0
1
0
0
0
0
0
1
0
2
1
0
0
0
1
1
1
3
1
4
0
0
1
0
2
1
1
0
1
0
0
0
1
2
0
0
0
0
1
1
0
2
2
1
9
0
7
5
6
0
3
1
0
1
0
1
1
2
9
0
2
1
0
0
0
2
0
2
1
1
2
0
1
1
1
1
0
0
1
1
0
1
0
4
0
0
0
1
1
1
2
3
0
0
0
2
1
2
0
1
0
10
1
5
0
0
0
1
0
1
0
2
2
1
0
0
2
0
1
0
0
1
2
0
1
0
1
0
0
0
0
3
1
1
0
1
1
1
2
0
0
2
2
2
0
0
0
3
0
0
0
13
0
0
0
0
0
1
2
2
0
0
6
0
0
2
0
1
1
1
2
1
0
0
1
0
0
0
2
1
1
0
1
1
1
0
1
0
1
0
0
1
1
1
0
1
0
1
2
0
0
0
3
1
2
2
0
0
0
2
0
2
1
0
3
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
2
0
0
0
2
0
1
2
0
0
2
0
0
1
0
1
0
1
3
5
0
0
1
1
0
0
1
0
0
1
1
0
1
0
1
1
0
2
0
2
0
1
1
0
0
1
1
0
0
2
1
0
0
1
2
1
1
0
2
0
0
0
1
0
3
1
0
0
3
1
0
0
0
2
1
0
1
0
1
2
0
0
1
3
0
1
0
0
1
0
0
1
1
0
0
4
1
1
2
1
1
1
0
1
0
1
0
2
0
1
0
0
2
0
0
0
0
0
0
0
1
0
1
2
0
1
1
0
0
2
3
1
1
0
0
0
0
0
2
1
0
2
0
1
1
1
1
0
1
0
0
0
0
3
1
1
1
2
1
1
0
0
1
1
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
1
0
5
1
0
1
0
1
1
0
7
0
0
9
0
1
0
1
1
2
1
0
1
3
0
0
0
3
0
8
1
0
0
2
0
2
1
3
1
2
1
0
0
0
0
1
0
1
1
0
2
0
0
0
2
0
1
0
0
1
1
0
0
1
2
4
1
0
4
1
0
2
0
0
0
0
0
1
0
1
0
0
0
0
0
2
2
1
2
0
0
3
1
1
17
1
0
0
1
0
2
4
1
0
1
1
0
9
0
1
0
1
0
12
0
0
2
2
0
1
0
1
0
0
0
0
1
1
3
0
2
2
1
0
2
4
1
3
0
0
0
0
1
2
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
2
1
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
0
2
2
3
1
0
2
0
2
7
1
0
1
0
2
0
1
0
0
0
1
1
1
1
0
0
1
1
7
1
1
0
5
0
5
1
1
0
0
0
0
0
0
0
0
1
2
0
2
1
9
0
0
0
0
0
0
2
1
0
5
1
1
0
1
0
2
0
3
0
0
2
2
0
1
0
0
3
0
0
0
0
1
0
0
1
1
0
2
0
1
0
1
1
1
2
0
1
1
0
0
1
1
1
0
0
0
0
0
0
1
2
0
1
1
3
1
3
0
0
2
1
0
0
2
2
2
2
0
0
0
0
1
0
2
1
0
2
0
1
1
0
0
0
0
0
1
0
0
1
2
0
0
1
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
3
2
3
7
0
1
0
1
0
0
1
1
0
0
2
1
1
0
0
1
0
2
6
1
4
1
3
1
2
0
0
0
0
2
1
0
0
0
0
1
0
1
0
0
1
1
0
0
1
0
0
0
0
1
0
3
1
0
1
1
0
3
1
3
1
1
1
0
2
1
0
1
0
0
0
0
0
0
1
0
0
1
5
1
0
2
5
1
1
6
1
0
0
0
2
0
0
1
0
0
0
1
0
1
1
0
4
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
2
0
0
0
3
0
1
0
0
0
1
0
1
2
1
1
1
1
1
0
1
0
0
1
1
0
0
1
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
2
1
0
0
1
1
0
1
0
2
0
1
0
0
0
0
1
0
1
1
0
1
3
1
2
0
0
0
1
1
1
1
0
2
0
1
3
5
1
1
1
0
4
0
2
0
1
0
2
1
2
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
3
0
2
3
0
1
0
1
1
0
1
1
0
0
0
1
0
1
0
0
0
1
2
0
2
1
0
2
0
0
0
1
3
0
1
2
0
0
1
6
0
0
1
0
3
1
0
0
0
0
0
0
1
1
1
2
1
0
0
5
0
1
1
1
1
0
0
0
2
0
1
1
0
0
0
1
0
0
0
1
1
1
0
1
0
0
1
0
0
0
0
1
1
2
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
4
1
2
0
1
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
1
6
1
0
0
0
0
0
0
0
1
0
1
0
2
1
0
0
10
2
0
0
1
0
0
0
0
0
1
1
0
1
2
4
1
1
1
2
0
1
1
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
5
1
1
1
1
0
0
0
0
1
0
2
0
2
1
2
1
0
0
0
1
0
0
0
0
1
0
0
0
2
3
0
3
0
0
0
1
0
1
0
0
3
3
0
0
0
2
1
2
0
1
1
1
0
1
3
2
1
0
0
2
0
0
0
2
0
0
1
1
1
1
3
2
1
1
1
1
0
0
0
2
1
0
0
0
0
0
1
0
3
0
0
0
1
0
2
0
0
0
0
8
0
1
0
1
0
0
0
1
3
1
0
0
0
0
0
0
2
1
1
1
0
1
0
0
1
0
0
0
0
1
0
4
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
3
0
0
0
2
16
0
0
0
1
0
0
1
0
2
1
0
1
0
1
0
2
0
0
1
0
0
1
0
1
1
0
1
4
0
0
1
0
0
0
0
0
0
0
2
2
1
0
2
4
0
1
1
1
0
0
0
0
0
1
2
0
2
2
1
0
0
1
0
0
0
0
0
0
2
0
1
0
0
1
0
0
1
1
0
0
0
0
1
0
0
0
0
1
0
2
0
0
0
0
0
2
2
3
1
0
2
1
0
0
0
0
1
0
6
0
0
1
1
0
0
0
0
0
0
2
0
2
0
0
8
2
0
2
2
0
0
1
0
1
1
0
1
0
1
2
0
0
0
0
0
0
0
0
0
1
2
0
1
0
4
0
0
1
0
5
1
0
0
0
1
0
1
2
0
0
0
2
4
1
1
3
1
0
1
0
2
0
1
0
6
0
0
1
0
1
0
0
0
0
1
1
1
1
0
0
0
2
4
1
1
0
1
0
5
0
0
1
0
1
1
1
3
0
2
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
3
1
0
0
0
1
0
1
0
2
1
0
0
0
0
0
0
1
0
0
0
1
2
2
1
1
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
1
1
1
0
0
1
0
0
1
0
2
0
0
0
1
4
0
1
2
1
0
0
0
1
0
0
0
0
0
0
1
1
0
1
1
0
0
3
0
1
0
0
1
0
0
0
0
1
0
0
0
2
0
1
1
0
0
0
0
0
2
0
0
1
2
0
0
1
1
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
1
0
1
0
0
1
1
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
1
1
2
0
0
2
1
0
1
0
1
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
1
2
1
1
0
0
1
0
0
0
1
1
0
1
0
0
0
1
1
1
0
0
2
0
1
1
1
1
0
0
2
1
1
0
1
1
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
1
3
1
0
2
0
0
0
0
1
0
1
0
1
1
1
0
1
0
0
0
0
1
0
0
2
0
1
0
1
0
6
0
1
1
0
0
1
0
0
1
0
4
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
1
2
2
0
0
3
0
1
0
1
0
0
0
0
0
0
1
2
0
1
3
2
0
0
1
2
0
0
1
0
1
1
1
1
0
0
1
0
0
0
1
0
1
0
1
0
0
2
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
3
0
2
2
0
1
0
1
0
0
1
0
0
1
1
0
1
1
0
1
1
1
0
0
3
0
0
0
1
0
2
6
0
0
0
1
0
4
2
0
0
0
1
1
0
0
1
0
1
0
0
0
1
0
2
0
0
0
0
0
1
0
1
0
0
2
0
3
0
0
0
0
6
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
1
2
0
0
0
1
0
1
0
0
1
0
0
0
0
0
1
1
0
0
0
1
0
0
1
1
2
0
0
1
1
0
1
0
0
2
2
1
0
0
0
1
1
0
0
1
0
3
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
2
2
1
0
0
1
1
0
0
0
0
0
1
2
1
1
0
2
1
1
0
0
0
1
0
0
0
1
1
2
2
0
0
1
3
1
5
1
0
0
1
1
2
0
1
1
0
0
0
0
1
2
0
0
0
0
1
0
2
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
2
0
1
0
1
2
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
1
0
2
5
0
1
0
0
0
2
0
0
0
1
2
0
1
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
1
2
0
0
2
2
1
1
1
2
1
0
1
1
0
0
1
1
1
0
1
2
1
1
0
1
0
2
0
1
0
1
1
0
0
0
1
0
0
1
1
0
2
1
0
2
0
1
0
0
1
1
0
0
0
0
1
0
0
1
1
2
0
0
0
0
0
0
0
2
0
3
0
0
0
2
1
0
0
0
0
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
1
1
2
8
0
0
1
1
1
0
0
0
0
0
4
0
0
2
0
0
1
3
0
0
0
0
0
0
1
0
1
1
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
1
0
0
1
0
1
0
0
1
0
0
0
1
1
0
0
0
1
0
0
1
1
0
1
0
1
0
1
1
1
0
0
17
2
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
1
0
1
0
1
0
0
0
0
0
0
3
0
2
1
2
1
1
1
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
2
0
1
0
0
1
0
0
1
0
1
2
0
1
0
0
1
2
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
2
0
2
0
0
0
1
1
0
0
1
0
1
1
0
0
0
1
3
0
0
0
0
1
1
1
0
2
1
0
3
0
0
4
0
0
1
0
0
0
1
0
0
3
0
0
0
0
3
0
0
1
0
0
1
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
1
1
0
0
1
0
0
0
0
0
2
0
1
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
0
3
3
0
2
0
0
0
0
0
0
0
0
0
1
2
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
1
3
0
0
1
0
0
1
1
0
1
0
0
1
0
0
0
0
0
0
1
0
1
1
0
0
0
2
1
0
0
0
1
0
1
0
4
0
1
1
1
0
3
0
0
0
1
4
1
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
1
0
0
1
0
2
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
2
1
0
3
9
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
3
1
0
0
0
0
1
1
0
0
1
1
1
0
1
1
0
0
0
0
0
1
2
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
8
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
0
1
2
4
1
0
2
0
1
1
0
1
1
0
8
0
1
0
0
0
0
1
1
0
0
0
0
1
0
1
0
1
1
1
0
1
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
1
0
2
2
0
0
0
0
0
0
0
2
0
0
0
0
0
1
1
1
1
1
0
0
0
1
0
1
0
0
0
2
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
1
0
0
0
0
1
0
1
3
0
0
0
2
1
0
2
0
0
1
2
0
3
2
2
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
0
1
1
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
3
0
0
0
1
1
0
0
0
1
0
0
0
0
2
1
0
0
0
1
0
0
0
1
0
0
2
0
1
0
0
0
3
0
2
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
4
0
1
1
0
1
0
0
1
0
0
0
0
1
0
1
1
0
0
1
0
0
1
0
2
0
0
2
0
0
0
1
0
0
1
0
1
1
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
9
0
0
2
0
0
0
0
3
0
0
0
0
0
0
0
1
2
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
5
0
0
0
0
1
2
1
0
0
0
0
1
0
0
0
0
0
1
1
0
2
2
0
1
1
0
0
0
0
0
1
1
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
1
4
1
1
0
0
0
1
0
0
0
1
1
0
1
0
1
0
0
0
0
1
0
1
0
2
0
0
0
0
0
2
2
0
0
0
1
0
0
1
2
0
0
1
1
0
0
1
1
1
0
3
3
0
0
0
1
0
0
2
2
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
2
0
0
0
0
1
2
0
1
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
0
4
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
1
1
0
0
0
0
0
5
0
0
7
1
1
0
0
2
2
0
0
0
1
0
0
0
1
1
0
0
0
2
0
0
0
0
0
1
0
0
11
0
0
1
1
0
1
3
0
0
1
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
3
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
2
0
1
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
4
0
0
0
0
1
0
2
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
2
0
0
3
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
1
0
2
0
0
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
2
0
0
1
0
3
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
3
0
0
0
0
0
0
0
0
1
0
1
1
1
0
2
0
0
1
0
0
0
7
0
0
1
0
1
0
0
0
1
1
0
0
2
0
0
1
0
0
0
0
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
1
0
4
0
1
0
0
0
0
0
1
0
1
0
1
1
2
0
0
2
2
0
0
2
1
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
2
1
1
1
0
1
1
0
0
0
0
2
0
1
0
0
1
1
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
1
1
0
0
0
1
0
0
1
0
1
0
1
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
0
0
0
1
1
0
9
0
1
0
1
0
0
1
2
0
0
0
0
1
0
0
1
0
8
0
0
0
1
1
0
0
0
2
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
0
1
0
3
0
0
0
1
1
2
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
3
0
1
0
0
0
1
0
1
1
0
0
1
4
2
0
1
6
0
0
0
0
0
0
1
0
1
1
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
1
1
1
0
0
0
0
5
0
0
1
0
1
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
1
0
0
2
0
0
1
0
0
0
0
0
1
0
1
1
2
0
1
0
1
1
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
1
1
0
1
0
6
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
4
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
2
0
0
0
1
0
0
2
0
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
4
0
0
0
0
1
10
0
0
0
0
0
0
0
0
6
0
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
2
0
0
0
0
1
2
0
0
1
0
1
0
1
0
0
0
0
0
2
0
0
0
0
0
0
3
0
0
0
0
1
0
0
0
0
0
1
0
3
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
2
1
0
0
0
1
0
0
2
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
7
0
0
0
0
1
0
0
0
0
0
0
0
4
0
1
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
2
0
1
1
0
0
2
0
0
0
0
0
0
0
2
0
0
1
0
2
0
0
1
0
0
0
0
1
0
0
0
2
1
0
1
0
0
1
0
0
0
0
4
0
0
0
0
0
0
1
1
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
3
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
2
2
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
3
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
6
2
0
0
0
5
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
1
11
0
1
1
1
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
2
0
0
0
0
0
0
0
1
0
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
1
0
0
0
0
2
1
0
0
0
0
0
0
1
0
0
0
1
1
0
0
5
0
1
0
0
1
0
0
4
0
0
1
0
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
2
0
0
1
1
0
0
0
0
2
0
0
0
0
0
1
0
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
6
0
0
0
2
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
2
0
0
0
8
0
0
0
2
0
1
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
1
0
0
0
3
1
0
0
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
1
0
1
1
0
1
0
0
0
0
1
0
0
0
0
2
0
0
0
0
1
1
0
0
3
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
0
1
0
0
0
1
1
1
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
4
0
0
0
1
1
0
2
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
2
0
0
0
0
1
0
0
0
0
2
0
0
1
0
3
0
0
0
4
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
2
1
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
1
0
0
0
2
7
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
4
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
1
0
1
1
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
2
0
0
0
1
0
0
0
0
1
0
0
1
0
1
0
2
1
0
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
5
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
2
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
2
0
2
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
1
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
3
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
1
0
1
0
1
1
1
0
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
3
0
0
1
0
0
0
0
2
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
1
0
2
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
1
1
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
6
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
3
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
2
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
7
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
6
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
1
0
0
2
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
1
0
0
0
0
3
0
1
0
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
7
1
1
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
10
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
6
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2