0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-23 23:48:48 +00:00
OI-codes/LibreOJ/112/data/flower7.out

100001 lines
295 KiB (Stored with Git LFS)
Plaintext

16
19
14
19
24
21
20
16
22
35
11
26
21
22
24
48
32
29
24
32
22
21
27
16
38
16
24
38
26
18
27
19
25
31
21
18
27
37
38
23
21
30
45
18
19
32
15
27
32
25
28
13
22
29
42
14
20
25
30
14
22
26
19
22
37
18
22
22
24
37
28
20
33
15
21
13
22
22
34
14
25
16
28
29
33
16
12
34
26
19
21
33
21
20
26
19
16
22
23
19
13
21
31
25
28
8
19
15
18
13
26
21
24
21
23
19
35
24
23
28
13
10
10
17
16
31
35
20
21
14
24
14
18
18
17
17
27
11
21
9
25
12
16
17
25
21
17
23
6
15
25
24
35
20
34
10
10
34
14
16
38
8
26
22
25
18
21
17
15
15
21
20
23
19
17
9
15
12
21
10
12
17
44
29
32
14
10
18
30
15
17
29
31
12
17
14
18
27
15
21
24
15
10
15
33
16
15
11
12
20
13
21
12
25
28
14
34
19
14
17
15
21
17
19
15
15
16
17
9
15
10
17
17
9
10
55
16
20
19
20
16
14
24
12
14
28
35
17
27
20
22
26
30
20
18
23
19
19
23
32
21
19
16
28
15
17
11
17
15
23
19
12
16
15
14
26
15
11
32
20
10
18
39
21
22
10
27
20
17
10
20
21
12
33
13
16
8
14
15
9
29
25
18
20
11
22
10
9
8
21
21
24
9
26
11
13
8
13
27
13
22
20
31
19
13
10
11
35
18
15
23
12
25
10
18
19
9
27
18
15
15
8
23
31
10
9
15
14
12
9
13
15
21
17
20
9
23
19
15
17
19
6
10
9
19
12
32
33
22
15
12
16
10
15
7
13
10
10
9
22
13
11
8
15
19
21
17
11
18
15
21
10
13
19
18
41
18
22
23
15
16
10
13
6
11
11
10
14
12
12
17
15
12
8
5
13
1
13
13
15
16
11
21
23
9
12
14
7
14
22
13
18
19
11
16
21
12
12
16
17
11
15
12
17
7
11
15
7
14
14
10
21
17
13
14
16
10
24
18
8
17
11
6
26
16
31
15
14
8
20
14
7
26
14
15
10
9
20
9
10
20
13
20
16
4
11
14
13
18
9
14
8
12
11
10
12
23
13
8
13
3
9
13
11
13
7
5
21
7
10
8
7
22
13
25
8
20
9
10
11
14
13
7
13
13
9
45
9
8
19
12
13
13
9
15
14
15
9
10
9
13
12
7
14
5
13
14
12
24
12
16
11
12
11
28
22
16
15
31
21
19
7
7
10
28
20
13
6
10
9
9
13
20
13
12
12
10
11
4
9
11
15
9
14
5
10
12
8
7
15
12
13
10
9
15
16
18
15
14
13
10
15
16
6
13
16
10
8
23
6
16
15
31
16
22
9
11
30
20
17
7
18
14
7
15
15
7
13
10
32
12
10
19
17
13
14
17
11
8
15
14
9
9
15
10
15
18
8
21
10
17
7
12
20
5
7
17
9
20
26
12
18
25
9
12
22
10
10
9
19
17
17
20
9
11
14
5
9
10
9
16
11
9
14
10
17
8
7
12
6
8
11
8
16
19
12
29
11
21
18
20
10
16
18
8
14
11
13
13
8
6
35
15
20
11
7
11
9
18
22
8
12
14
12
13
24
4
5
10
8
13
4
18
9
7
9
13
13
7
14
11
11
6
10
20
16
11
9
9
3
7
11
5
5
17
9
5
17
4
20
28
5
14
21
26
14
3
4
11
8
12
12
11
12
18
18
9
8
12
7
7
15
12
7
7
18
10
12
8
8
6
16
10
9
16
16
20
12
7
25
9
6
11
11
20
21
12
12
9
15
15
20
6
12
12
16
6
7
13
32
17
10
14
7
8
13
7
10
8
10
5
3
20
14
7
9
15
7
19
30
16
8
11
15
7
8
15
14
13
12
21
17
13
10
8
7
14
17
9
10
8
7
13
12
8
9
9
5
30
15
13
8
10
11
11
12
24
8
18
10
9
27
11
5
15
12
10
9
9
7
6
13
8
11
7
13
12
13
5
10
16
15
13
32
8
15
17
12
10
18
3
13
6
11
7
11
34
7
6
8
6
11
12
10
11
8
8
17
11
3
12
12
20
10
12
9
7
6
5
12
4
7
10
16
13
10
8
14
7
9
6
6
9
11
9
12
9
10
15
4
10
10
8
7
7
7
18
8
9
7
7
4
14
7
10
11
10
14
7
22
11
11
11
9
7
9
10
5
7
5
12
12
15
6
15
4
7
11
10
12
11
8
7
12
6
11
15
7
4
13
11
15
18
6
18
9
10
15
5
4
7
15
9
5
5
6
6
7
24
12
5
14
10
11
5
7
14
7
6
6
7
7
5
6
26
12
12
8
13
12
32
7
17
9
8
4
13
12
7
18
8
10
1
19
7
16
6
12
9
17
12
7
8
6
6
20
16
12
5
8
7
8
12
3
6
14
6
20
9
8
16
12
9
8
3
12
11
8
7
10
3
34
14
11
14
11
8
7
10
10
8
4
8
4
8
13
8
15
11
8
19
5
23
9
7
14
7
17
12
9
17
9
14
10
8
17
16
8
12
9
16
8
21
6
11
7
8
17
7
5
6
8
15
6
10
19
8
9
7
17
20
12
6
5
15
5
10
11
8
14
5
13
7
8
9
11
12
11
7
5
15
9
3
12
24
9
8
15
7
17
6
6
8
6
4
5
9
9
8
7
20
9
16
8
11
5
4
3
11
21
7
9
9
15
7
12
13
9
5
8
14
10
5
7
26
7
10
7
8
7
24
17
9
12
9
7
15
9
7
5
8
9
27
8
8
12
14
10
7
14
8
21
7
8
7
9
7
15
14
12
15
13
12
6
8
7
10
8
21
7
13
11
17
7
12
7
7
21
6
18
8
2
22
5
4
10
13
5
5
8
11
10
10
16
7
11
11
3
7
4
4
9
11
7
7
6
15
2
4
14
22
10
5
21
17
8
7
7
9
13
14
14
13
10
24
4
8
23
13
15
7
7
7
6
5
8
6
11
7
22
18
13
6
8
15
7
11
14
9
8
14
7
18
4
9
11
8
8
11
7
13
7
10
13
18
13
9
6
15
7
11
7
6
11
5
16
6
2
17
8
8
8
4
18
10
7
9
5
12
8
15
13
6
17
8
12
6
6
7
3
6
5
10
4
19
8
16
16
9
6
12
3
10
11
8
14
29
12
5
6
6
5
15
22
14
10
2
7
9
7
3
6
8
11
3
7
7
6
12
8
10
11
5
15
10
5
5
2
7
5
8
15
14
7
7
11
9
9
7
9
8
8
4
4
4
11
8
6
11
9
13
3
8
6
7
11
4
10
15
7
6
6
11
6
11
2
5
12
8
2
6
6
9
7
12
6
6
12
17
6
11
21
4
8
6
12
5
6
7
11
6
16
10
6
5
6
7
18
3
5
9
3
12
8
3
8
10
9
9
5
5
15
4
6
11
5
8
13
17
6
14
11
11
6
7
8
3
4
8
2
10
8
5
11
16
5
6
8
5
7
23
10
15
7
11
11
7
3
22
4
9
12
12
14
9
3
5
4
6
4
8
9
11
3
10
8
3
9
4
8
3
4
10
11
8
11
4
2
5
6
9
9
9
8
14
4
4
11
5
3
4
3
9
6
8
9
12
4
8
3
9
7
9
9
1
6
11
13
7
13
10
6
10
17
8
15
4
3
7
9
10
10
11
6
7
9
7
9
10
6
6
14
7
12
9
7
15
11
11
5
4
10
5
17
3
4
11
3
3
5
8
9
7
10
4
6
6
10
2
5
6
9
10
8
7
7
9
6
5
15
11
8
5
8
7
6
4
6
14
13
6
24
6
22
7
19
5
13
11
7
4
6
14
17
4
12
6
5
11
5
6
20
5
6
5
9
5
8
6
3
4
5
8
4
7
8
12
8
10
15
5
8
9
5
8
3
9
6
21
4
6
8
11
4
10
1
6
29
12
5
10
11
6
9
7
19
5
21
19
5
5
9
8
10
9
7
10
10
3
3
10
4
8
8
9
12
8
9
9
7
8
17
1
4
15
5
7
4
10
7
8
26
7
13
11
5
10
3
5
8
7
9
6
1
12
12
10
23
5
16
13
8
4
5
6
9
5
3
5
4
8
12
3
8
8
8
3
9
8
5
7
15
4
16
6
18
5
4
6
7
4
10
7
12
12
15
6
7
7
6
16
5
8
7
9
6
3
6
5
6
7
7
6
10
14
17
9
4
6
5
6
20
5
4
6
9
5
10
5
12
5
7
12
6
6
4
11
4
4
1
14
6
2
7
4
8
10
5
7
5
1
5
15
20
18
8
4
9
5
9
5
4
6
12
6
10
7
6
4
5
10
5
7
14
17
1
7
4
7
3
5
6
4
12
6
7
11
3
12
12
6
11
3
6
6
13
7
7
13
10
2
5
11
5
3
5
7
17
14
18
8
6
12
8
7
7
10
1
4
20
2
11
8
4
5
4
7
2
12
7
11
20
4
16
7
8
8
5
7
11
23
11
3
9
8
5
9
9
7
12
7
5
2
4
11
10
4
10
6
5
8
8
5
4
7
2
2
11
9
16
21
7
11
7
11
3
11
9
7
22
8
6
15
4
5
4
6
14
14
2
7
6
4
15
13
3
3
6
5
10
5
3
7
6
5
7
13
4
7
5
10
7
3
6
6
4
3
8
8
5
3
3
7
22
10
14
7
4
4
4
6
3
3
2
5
5
9
6
3
20
6
10
7
13
6
15
5
8
5
8
5
5
5
4
4
11
9
8
9
3
3
9
3
9
5
11
7
7
2
2
7
14
8
13
10
8
12
4
6
10
7
6
4
6
8
8
7
5
9
6
2
8
6
1
5
6
6
6
5
9
8
12
3
7
11
8
17
6
8
6
11
4
22
4
4
6
2
5
8
4
9
5
6
6
7
4
2
11
6
3
4
16
10
7
4
5
6
4
7
2
8
5
5
19
6
4
4
4
4
10
17
6
7
11
3
6
11
7
6
7
5
5
7
8
5
11
10
5
8
31
4
9
1
6
12
9
6
8
6
4
6
2
3
10
10
11
3
24
6
10
7
1
4
3
9
3
9
8
8
4
7
3
4
4
9
7
7
3
6
6
2
7
3
5
12
4
9
8
8
7
8
4
8
4
5
5
10
12
12
9
9
19
10
6
5
3
7
8
6
6
3
11
4
6
7
17
7
2
5
5
8
7
2
13
5
4
3
5
4
5
3
4
3
9
4
8
7
11
3
6
10
6
7
9
3
5
11
11
2
6
5
4
17
15
8
6
4
7
2
4
3
32
4
3
8
5
4
5
9
7
2
8
7
9
4
8
5
6
6
12
4
7
16
7
9
3
2
8
9
2
4
10
9
9
0
5
5
5
5
6
8
3
16
6
6
8
2
5
2
3
9
13
2
0
6
2
11
17
9
1
11
3
3
13
7
6
5
1
2
6
3
5
8
10
10
6
3
3
10
7
9
5
5
7
13
8
7
3
3
7
19
8
5
10
3
11
3
7
2
4
4
3
2
2
5
6
10
3
8
2
13
9
2
7
10
6
8
10
5
5
6
9
19
11
4
3
5
4
6
3
12
5
3
5
1
2
6
11
1
12
10
8
6
7
8
7
7
4
3
8
4
11
9
5
4
9
7
6
6
7
3
7
2
8
5
9
1
14
2
5
6
5
6
6
6
8
6
11
3
4
8
1
8
3
6
6
6
1
3
6
6
4
4
3
3
11
3
5
4
10
2
5
10
3
4
4
6
4
9
3
1
5
9
9
9
3
5
3
0
7
3
2
7
9
4
8
4
8
3
5
6
3
4
6
4
9
7
2
7
3
9
1
4
7
4
6
5
6
5
6
2
7
1
3
4
7
5
13
6
5
9
9
6
5
14
8
5
8
7
9
4
8
10
6
7
4
6
9
12
3
7
6
6
9
5
4
2
3
6
13
2
9
2
4
8
7
4
6
10
6
7
5
7
8
8
2
8
11
16
4
5
1
7
5
4
5
2
6
9
5
7
4
5
9
15
10
8
4
5
3
6
7
6
5
18
3
6
8
6
19
3
6
9
10
3
6
6
8
7
12
6
5
4
11
7
8
10
8
5
4
9
5
10
7
5
6
13
6
17
7
6
3
8
2
8
5
8
7
8
2
6
7
6
2
1
8
13
15
6
6
7
5
6
8
2
3
4
6
9
2
13
4
6
23
11
17
4
3
6
5
6
5
6
4
8
8
14
3
3
5
3
13
7
3
8
2
3
4
7
9
2
4
4
4
4
4
10
5
9
10
7
9
7
4
5
4
3
13
3
8
6
10
10
4
5
17
12
2
5
4
7
7
9
4
5
10
5
2
6
7
6
9
2
6
8
5
5
3
3
3
3
2
4
10
4
2
5
3
5
5
8
12
12
10
7
6
6
3
6
6
3
3
2
6
16
1
7
8
5
9
2
5
5
2
1
5
4
6
7
4
1
4
5
6
3
5
2
1
5
13
4
1
6
3
4
8
3
4
3
4
23
4
3
8
1
9
5
3
8
7
9
5
5
2
5
5
3
5
2
6
5
7
6
8
8
6
5
7
8
12
3
1
4
1
5
6
5
5
5
31
7
11
3
6
11
5
10
10
11
11
10
7
3
12
6
12
9
9
7
7
9
4
7
5
11
3
9
11
1
4
15
6
2
9
5
7
6
5
9
8
4
8
7
7
4
12
6
7
8
5
4
3
1
6
8
5
7
6
14
3
15
7
4
5
4
6
10
4
3
6
9
1
5
4
7
2
2
5
2
11
5
13
9
1
11
3
6
3
6
3
6
2
4
3
3
6
11
7
10
11
8
5
4
8
1
13
8
2
4
3
5
1
7
6
4
4
3
8
2
10
5
8
10
2
16
7
8
12
5
5
4
8
5
5
5
4
8
1
3
7
5
9
12
5
5
1
8
8
5
9
1
10
16
3
6
5
4
2
7
4
4
15
8
4
7
13
2
5
6
2
2
8
9
8
2
6
4
10
6
4
10
5
3
8
8
2
7
8
6
7
9
5
2
6
9
2
5
5
5
4
7
5
3
4
3
6
2
7
3
8
6
6
7
6
5
9
14
3
14
5
1
4
10
6
3
2
6
4
7
1
11
6
5
4
9
5
5
3
5
4
7
8
4
11
0
11
12
8
3
5
4
4
2
7
5
5
6
8
16
8
9
6
10
1
6
5
16
10
8
4
5
2
14
5
12
2
2
5
6
5
2
5
4
9
7
7
4
6
4
7
7
9
6
4
3
9
6
3
7
5
7
5
0
9
3
6
12
5
7
11
3
7
1
4
8
4
6
7
3
5
2
6
13
6
4
7
5
4
15
6
5
5
5
5
5
10
7
5
9
3
7
4
1
4
4
8
14
7
5
3
5
12
9
2
7
2
6
16
12
8
14
8
3
2
9
4
6
5
3
9
10
6
6
2
4
4
6
5
6
3
15
1
7
3
3
3
2
9
12
6
5
7
9
7
5
2
5
7
6
4
6
8
7
5
3
5
6
4
5
7
6
7
9
7
5
3
4
5
9
5
4
2
10
14
2
7
5
7
4
4
5
8
9
6
6
5
9
5
1
6
3
5
4
11
8
9
7
6
4
18
13
3
5
5
3
3
9
6
7
3
10
5
5
8
4
7
7
4
4
3
5
5
9
5
5
6
8
4
7
6
11
1
5
5
5
8
8
8
2
16
8
2
2
2
7
9
6
7
6
9
7
9
6
3
4
5
7
4
7
7
5
2
6
4
3
5
6
0
11
2
10
1
3
3
12
9
7
7
2
1
14
6
2
3
2
3
8
6
2
2
9
5
6
3
3
4
7
8
3
5
7
7
9
7
5
2
14
4
5
5
3
6
4
3
6
5
2
3
4
3
15
9
7
5
9
6
2
4
6
1
7
6
9
4
4
7
6
3
4
1
4
3
5
4
13
6
3
4
6
6
10
1
3
4
4
6
6
5
7
7
16
4
2
10
5
2
7
8
6
20
4
6
8
5
8
5
6
5
3
2
5
1
5
5
11
5
25
5
3
9
5
4
7
17
13
14
4
18
5
5
3
1
13
4
1
9
13
3
4
8
5
13
6
6
4
5
2
4
3
2
17
9
1
8
2
6
6
13
3
5
13
13
4
7
18
3
3
7
14
12
13
1
5
5
2
3
6
7
9
11
3
16
4
3
5
1
3
3
15
6
3
9
10
3
2
11
8
4
4
4
5
7
3
4
3
6
6
4
4
5
6
7
10
4
8
2
1
8
4
9
3
4
1
3
4
3
5
8
10
12
13
5
4
3
5
4
4
14
2
2
10
3
2
2
4
4
2
8
3
7
2
6
2
4
4
3
5
6
6
10
21
6
6
5
11
6
3
8
2
5
2
5
5
2
3
7
6
6
13
5
16
2
4
5
5
7
5
4
5
9
4
8
3
3
3
6
4
3
3
9
4
1
9
9
6
7
11
7
2
18
5
7
7
5
8
10
10
2
3
6
5
6
4
7
2
7
9
10
4
0
4
3
4
4
1
17
5
3
5
5
3
7
3
5
14
21
0
6
9
3
6
11
4
2
4
3
4
1
5
1
1
3
4
8
6
2
13
11
3
4
13
5
10
9
9
4
6
3
6
6
3
7
12
4
4
5
1
4
9
6
6
6
5
3
6
2
1
2
6
12
5
2
4
7
3
16
2
5
3
23
4
1
4
6
4
2
4
5
6
6
4
5
5
15
3
5
3
2
5
18
10
3
5
2
3
3
3
8
5
5
4
1
3
5
1
4
1
10
4
10
3
5
1
6
3
5
3
13
6
3
1
3
3
5
11
5
4
4
11
3
2
7
5
5
4
3
3
9
5
4
3
7
4
2
12
10
3
7
3
7
1
6
3
7
4
6
4
3
7
3
3
6
5
3
2
9
3
5
5
6
6
1
4
5
7
3
8
7
4
2
7
5
11
3
4
9
5
5
6
5
8
6
5
5
6
5
4
10
4
7
2
6
2
12
13
5
8
3
5
6
8
2
8
2
2
4
4
2
3
10
2
9
4
6
4
3
20
3
12
9
7
4
4
8
7
1
1
1
1
1
20
7
9
6
5
5
3
2
0
8
4
3
3
5
6
0
6
1
3
3
5
5
1
5
6
8
4
2
5
19
3
8
2
8
2
2
7
27
3
12
8
6
4
2
11
3
4
4
12
8
6
2
6
16
6
7
4
6
6
3
5
2
5
12
6
5
4
12
6
3
3
13
3
5
10
2
10
2
7
1
13
3
10
2
2
1
3
2
5
17
4
3
4
6
2
1
2
7
4
3
4
8
3
3
3
6
3
5
1
4
3
7
4
2
2
5
8
3
8
7
2
6
5
6
5
7
3
4
5
6
7
16
5
1
19
9
5
4
2
0
3
2
1
4
4
4
5
4
5
1
7
2
3
10
1
12
4
10
4
7
2
5
3
2
7
2
3
0
11
7
10
1
6
3
2
4
3
2
2
6
9
4
8
4
6
3
8
6
5
14
5
12
4
3
7
5
4
6
4
4
4
8
9
3
4
14
1
4
3
8
2
3
1
2
4
6
2
2
7
3
6
7
4
5
9
2
7
3
2
12
6
6
8
6
4
5
3
8
1
5
3
5
8
5
2
4
4
8
1
14
1
3
5
3
3
3
5
4
7
3
2
2
4
9
2
4
5
9
1
4
4
15
4
7
7
4
2
2
3
8
4
2
6
1
4
2
7
7
0
3
6
6
10
6
7
6
4
4
5
4
4
4
9
4
3
6
4
6
4
6
6
4
2
2
2
19
4
2
0
8
9
6
5
4
8
22
4
7
8
5
5
6
6
5
7
5
4
3
0
5
8
7
11
1
16
1
7
5
2
1
3
2
9
6
7
2
8
3
1
12
5
7
3
6
3
7
5
3
3
2
3
6
2
7
3
3
4
3
3
3
9
1
8
11
5
1
3
1
1
1
7
5
5
3
2
3
6
2
4
3
4
5
8
2
3
5
13
4
7
6
3
2
9
2
4
6
14
1
11
6
3
2
14
3
5
5
7
3
16
1
2
10
7
11
1
3
1
4
3
6
6
8
5
3
4
6
4
6
8
6
2
3
4
4
2
9
5
4
4
2
6
2
2
1
10
5
2
4
2
9
3
3
9
3
7
2
1
10
3
3
1
9
13
5
2
7
13
5
4
3
3
6
1
2
2
14
4
4
2
3
6
1
6
3
9
0
5
3
2
4
6
5
5
2
2
4
1
6
3
4
1
4
4
5
1
2
4
5
9
1
0
3
2
6
2
7
4
15
5
2
3
6
4
6
7
6
7
6
3
5
3
9
7
2
13
7
3
6
3
13
5
5
4
5
5
5
10
4
3
4
7
5
3
10
3
7
0
5
4
5
5
1
2
27
6
4
2
17
6
12
1
5
8
4
9
1
6
13
4
3
5
3
3
4
5
0
4
0
26
5
1
7
3
3
3
2
9
1
3
0
10
11
12
13
2
12
4
3
9
2
11
3
3
6
6
4
24
20
2
2
6
17
2
4
4
8
2
1
18
1
4
2
4
5
3
3
4
4
4
19
1
5
3
3
2
4
4
8
1
1
4
0
0
2
2
2
1
4
6
4
9
2
12
1
4
10
2
6
3
2
5
2
4
4
1
15
5
2
2
3
12
3
3
3
5
11
4
5
3
6
1
2
29
5
2
1
4
2
5
1
7
8
5
1
5
1
6
2
4
3
2
9
2
3
22
5
1
3
4
5
3
1
4
6
11
4
6
1
6
6
6
1
4
6
4
7
8
6
6
4
6
2
8
2
2
4
13
9
3
5
0
9
4
6
5
3
1
2
8
4
9
6
1
3
8
1
9
1
1
1
3
5
3
7
3
3
12
8
2
9
13
1
7
4
5
8
4
2
3
3
5
5
7
3
3
7
10
4
4
6
4
4
11
6
6
2
3
3
2
5
2
2
3
1
3
7
3
3
4
2
2
5
6
5
7
14
7
3
5
3
6
2
5
5
2
5
8
8
7
2
2
2
6
6
6
5
3
2
4
2
6
2
4
14
4
5
3
4
12
6
3
8
6
4
6
2
2
5
3
5
10
4
9
2
6
2
1
4
2
6
5
11
2
2
6
6
1
2
3
6
3
8
1
3
4
3
5
3
4
3
2
4
3
4
0
3
6
4
6
5
4
11
4
1
4
3
2
13
11
3
0
9
3
4
4
2
12
2
4
5
3
20
1
4
0
3
6
2
6
2
2
10
5
4
4
4
3
7
1
2
5
12
3
3
6
2
4
1
3
8
10
6
0
12
9
5
6
3
4
3
5
6
6
4
6
0
1
5
6
0
5
2
6
2
8
4
6
3
2
3
11
5
3
6
6
8
8
7
6
4
1
5
2
3
1
4
9
4
4
7
5
9
2
13
2
9
5
9
2
3
2
25
3
8
8
0
9
4
6
5
9
8
3
4
1
2
5
11
6
6
2
7
15
4
2
4
0
3
8
10
5
2
8
4
3
2
5
6
1
2
5
4
2
3
5
11
5
4
1
4
0
4
1
9
3
1
2
12
0
5
3
7
1
5
4
5
12
6
5
5
3
2
1
7
4
0
2
2
3
3
5
11
5
14
5
3
4
5
3
7
2
2
9
1
3
3
2
3
6
13
1
3
2
3
8
6
4
6
4
5
10
1
2
1
6
3
7
4
7
4
4
4
0
1
7
3
8
3
5
6
3
4
7
0
5
6
6
5
6
2
8
5
9
7
3
1
4
5
2
4
4
12
4
6
3
0
2
3
2
5
2
2
3
4
1
2
7
5
6
2
0
3
7
3
3
4
3
1
5
4
0
4
2
7
8
6
1
2
1
5
6
7
4
1
4
5
3
2
2
7
8
1
3
4
4
6
1
3
4
1
5
3
5
6
6
0
3
0
2
4
2
8
6
1
2
6
6
3
2
0
7
4
5
5
3
4
3
9
3
2
3
4
2
4
3
0
2
2
3
7
4
17
3
1
3
2
2
3
4
3
5
11
5
5
5
5
3
4
1
5
6
9
4
2
4
27
5
13
3
3
5
4
2
2
4
11
5
14
16
5
2
2
3
3
3
6
0
6
10
9
3
2
1
1
12
2
11
3
2
3
1
4
3
2
6
7
11
5
5
1
5
4
5
1
4
7
1
3
10
1
0
5
4
3
2
2
2
3
1
2
2
3
4
8
6
5
7
5
2
8
0
9
2
10
5
3
4
4
4
7
3
1
5
3
2
1
4
5
3
5
6
1
2
1
5
4
0
4
4
4
1
6
2
0
3
1
1
1
3
13
5
6
6
0
4
4
1
4
5
1
3
1
5
1
3
3
0
5
6
7
2
3
5
6
3
3
2
11
2
3
4
14
9
3
10
0
2
2
2
2
10
6
0
3
5
3
7
7
9
3
6
3
3
2
8
1
1
4
2
5
4
2
5
5
10
2
1
4
1
3
1
4
3
4
3
7
9
0
1
7
3
10
10
2
4
5
3
2
10
4
1
4
9
4
0
5
3
2
6
1
3
6
6
10
3
3
4
5
2
4
4
4
2
6
10
4
2
3
1
1
7
3
6
2
5
4
8
27
1
4
1
4
1
2
0
2
3
1
5
3
6
3
4
4
13
3
3
5
2
4
1
2
2
4
12
1
5
0
2
3
8
0
5
5
5
4
4
12
1
15
4
3
6
2
10
7
8
2
2
7
3
14
3
2
10
1
11
7
1
3
4
8
3
4
10
4
3
5
4
10
2
5
1
2
4
5
5
2
0
0
13
10
1
3
3
4
4
3
2
2
5
6
6
3
2
1
2
4
5
15
6
10
1
2
7
1
1
5
6
7
5
1
2
2
3
5
6
2
3
3
5
5
4
4
3
3
5
2
1
8
5
2
2
8
1
1
4
9
5
8
4
1
4
18
1
1
4
2
1
1
14
10
3
5
3
1
1
5
4
2
3
2
2
4
3
2
4
1
4
0
5
6
2
2
3
3
1
3
0
1
9
2
4
5
2
4
1
6
5
5
5
3
2
14
4
3
2
3
4
4
4
4
1
4
7
2
4
15
4
4
3
10
3
2
5
11
4
6
5
6
3
6
4
5
1
3
4
13
6
3
3
3
5
1
4
17
2
4
10
3
4
3
7
3
5
3
5
1
2
1
5
4
10
4
4
1
1
10
2
9
2
3
4
9
5
2
9
4
4
3
1
3
2
2
2
3
4
1
0
2
4
4
9
4
13
0
4
3
3
3
2
2
2
5
2
3
2
1
5
4
2
4
3
10
3
2
3
2
8
6
2
2
4
5
11
1
3
1
4
4
7
4
5
2
12
2
7
3
6
14
4
1
1
2
2
2
19
6
2
2
6
3
1
2
4
2
4
2
2
3
4
1
3
9
2
5
3
13
4
2
1
1
3
6
3
7
3
3
4
5
4
6
5
2
3
13
12
3
3
4
3
8
3
9
5
1
1
3
6
0
1
4
3
1
5
2
13
3
4
2
4
5
1
3
7
2
3
5
1
3
1
5
2
2
4
6
4
12
3
2
10
2
2
3
0
2
2
11
4
1
14
1
3
3
6
5
10
4
1
2
2
3
3
2
2
3
6
7
3
9
3
6
1
3
3
4
1
3
2
4
1
4
16
2
3
4
4
3
3
3
8
5
4
3
4
5
3
3
0
4
2
1
7
4
3
2
8
3
6
4
4
6
2
4
5
4
4
2
2
6
0
5
6
2
1
8
4
1
7
3
2
3
5
3
6
3
4
16
2
2
2
0
2
3
9
3
4
5
2
6
10
2
4
1
2
2
2
0
2
3
4
9
1
2
3
4
1
3
7
3
3
5
1
4
11
7
4
5
1
1
1
3
9
0
4
7
3
15
5
3
1
3
1
4
2
3
8
10
2
7
5
4
4
0
1
8
3
2
2
3
4
12
1
1
6
3
3
3
2
0
2
2
3
3
4
7
3
5
0
3
2
4
1
6
3
13
4
2
3
5
3
5
4
1
5
5
8
0
1
2
4
6
8
2
4
0
5
9
1
5
3
3
2
7
5
1
3
5
3
0
3
15
5
4
13
5
3
4
4
2
3
3
5
10
7
6
3
5
2
3
2
4
4
1
1
1
7
3
2
9
7
2
3
5
2
3
7
3
5
6
0
7
1
3
7
4
1
0
1
1
10
2
4
4
3
1
1
5
5
3
8
6
1
4
5
2
7
2
9
6
5
2
4
2
8
5
7
1
3
7
2
2
5
2
6
3
5
6
9
6
4
4
7
6
3
2
2
2
1
2
1
2
4
2
6
5
10
2
1
4
2
3
2
2
4
1
9
2
2
3
4
5
4
3
4
2
12
3
2
2
1
2
3
2
4
3
5
1
4
1
8
6
1
1
5
4
3
3
1
15
6
1
2
3
2
4
2
3
5
2
2
2
2
2
5
2
4
2
4
3
3
2
5
4
4
6
4
2
5
10
2
2
4
3
3
1
5
2
1
6
4
3
3
2
2
3
3
11
6
1
3
6
2
3
3
2
5
3
0
3
0
4
3
4
1
5
1
1
4
5
7
1
1
0
2
1
2
4
3
1
11
1
3
1
1
6
5
13
1
1
3
5
8
3
5
3
5
5
0
2
4
6
1
0
4
3
15
3
2
1
1
4
1
2
4
4
7
1
1
6
4
6
4
2
3
0
3
5
3
2
1
5
3
7
6
3
3
5
9
0
9
1
0
6
6
5
2
4
5
0
3
4
3
0
3
5
5
0
3
4
5
0
13
1
2
3
1
0
2
2
5
2
4
11
2
2
1
2
2
1
3
0
2
10
2
4
8
2
9
6
3
0
4
3
8
2
5
11
3
1
1
4
3
5
3
2
10
5
3
4
4
3
3
5
3
1
4
3
3
9
3
3
5
3
1
0
7
2
1
0
4
2
2
3
1
3
1
2
1
4
2
2
0
3
2
5
7
1
3
5
3
2
5
1
3
2
1
2
2
3
4
4
1
2
8
5
3
2
5
3
6
4
3
2
5
5
0
4
1
1
2
2
2
1
7
0
1
19
5
4
4
2
3
2
5
4
2
1
1
2
1
4
3
2
7
1
0
2
7
5
3
1
9
1
3
2
8
4
4
3
1
1
1
1
3
18
2
5
11
2
5
3
3
3
2
9
6
2
1
2
2
6
2
3
1
2
2
5
4
3
6
5
4
4
1
7
3
3
11
5
3
4
2
5
3
1
4
5
3
2
3
1
2
1
10
6
1
8
5
3
4
9
3
7
2
3
1
6
2
4
4
3
3
2
1
2
2
4
6
3
0
2
2
1
5
2
10
4
2
4
1
4
1
1
2
1
5
1
4
4
2
1
4
8
4
2
1
4
10
1
15
5
1
2
1
0
2
3
3
1
3
1
12
1
1
4
3
2
5
2
2
1
2
3
2
10
8
2
1
4
0
4
0
2
3
9
0
6
1
3
2
1
3
6
0
7
5
7
4
2
6
1
2
2
3
2
3
10
2
3
2
10
1
9
1
6
2
2
3
2
1
0
2
2
3
2
4
1
2
2
2
3
3
13
1
3
5
2
2
8
5
8
3
6
5
1
1
2
3
0
2
4
5
3
10
3
5
2
4
8
3
1
3
0
4
5
2
0
4
4
8
2
2
1
2
6
3
3
5
4
2
2
2
4
7
3
3
3
3
1
3
13
7
7
1
1
2
3
0
2
4
1
3
2
4
0
3
2
4
1
4
0
6
2
5
1
4
1
9
1
8
19
0
2
0
2
1
1
1
2
3
5
3
3
2
4
3
6
2
3
0
6
1
3
1
1
0
4
2
2
5
3
1
3
4
5
3
4
0
5
6
0
2
5
2
2
9
6
1
5
4
0
10
3
5
7
1
1
4
2
4
3
3
3
5
3
11
6
2
7
0
3
2
1
2
6
14
9
1
0
8
2
2
3
2
4
1
1
3
2
4
13
1
4
1
4
2
18
4
4
5
2
0
10
5
1
6
1
0
4
5
2
1
5
10
4
4
3
2
2
2
5
3
2
2
6
7
0
3
4
7
2
1
1
6
4
1
0
7
2
3
2
7
1
5
1
12
5
1
3
1
3
4
4
1
4
2
2
7
4
0
6
3
0
0
5
1
3
1
1
1
5
2
1
3
1
3
4
0
2
7
5
4
13
11
2
2
5
1
3
4
3
5
3
5
5
2
3
3
6
1
1
1
4
3
15
10
4
4
3
2
4
3
3
6
0
0
2
5
3
4
5
4
3
6
4
7
3
1
1
3
0
0
4
7
3
1
5
3
8
2
4
2
3
1
4
5
3
1
5
3
17
4
5
3
0
11
1
1
6
6
2
3
1
2
3
3
0
5
5
8
0
0
4
0
9
1
3
1
4
2
1
1
1
3
1
0
2
0
2
3
6
1
3
1
3
0
0
0
2
5
1
7
16
7
7
1
1
4
4
2
0
7
1
7
3
2
1
1
5
2
2
1
1
4
5
3
10
2
3
2
2
4
2
5
3
2
2
1
2
3
4
4
2
14
2
3
3
4
3
5
2
2
4
3
2
2
2
1
3
0
4
6
2
2
2
1
5
3
4
5
3
1
2
4
5
6
6
6
6
5
1
1
0
0
2
3
3
7
5
1
8
2
3
3
2
2
3
5
4
0
3
7
4
2
1
0
5
6
1
0
1
2
2
3
3
2
3
4
3
5
14
3
7
11
6
3
3
8
3
6
3
3
1
0
1
3
6
13
2
1
1
6
5
4
2
2
1
2
4
4
3
3
1
4
0
1
10
2
8
1
3
4
2
7
2
4
1
1
4
10
4
4
1
3
0
3
3
1
3
1
1
1
0
1
4
4
4
1
5
6
3
5
2
3
3
3
0
1
3
11
4
6
3
1
5
2
5
3
3
11
2
1
6
3
6
2
1
1
3
2
3
8
5
1
1
1
0
1
4
0
1
1
7
1
1
1
1
0
5
2
5
3
4
3
4
1
13
7
4
1
2
1
2
3
3
3
4
4
4
0
3
1
6
3
0
10
9
4
2
3
2
5
1
3
2
1
31
2
2
2
1
6
1
4
0
8
2
1
4
2
2
6
3
3
3
1
7
0
5
4
0
0
5
3
0
1
1
1
5
13
2
3
3
2
1
2
2
1
1
2
2
11
9
3
4
2
2
0
1
1
6
4
2
2
2
4
5
0
10
0
3
2
2
5
6
3
4
2
7
8
5
2
4
2
6
2
10
1
0
4
12
0
7
1
2
2
3
4
5
3
2
1
6
11
3
7
1
10
3
5
5
1
2
3
0
1
5
3
5
4
4
2
2
2
5
8
5
2
2
5
3
5
3
4
3
3
0
1
4
24
3
4
3
5
2
3
1
4
3
3
3
2
7
2
4
2
2
1
1
2
0
4
2
3
1
3
2
1
4
3
2
4
6
1
0
1
4
7
6
2
2
0
7
2
6
3
1
1
1
4
2
3
1
1
11
4
1
4
7
10
5
3
8
3
2
1
0
2
6
3
12
6
4
3
2
1
3
4
4
2
2
3
5
2
2
2
1
3
4
3
5
0
1
8
5
1
15
11
2
1
4
8
2
6
2
1
3
1
4
2
1
6
6
1
11
5
8
3
3
3
4
2
2
3
2
5
3
1
2
3
4
0
6
1
3
2
5
2
3
1
4
5
2
1
1
4
6
6
5
7
3
15
3
2
1
1
0
1
6
3
5
2
11
3
10
5
4
3
2
1
7
7
2
3
10
10
1
9
3
3
2
2
2
2
1
5
11
7
1
7
0
2
0
1
1
7
0
5
0
4
8
2
2
10
2
1
3
2
0
2
6
5
5
4
2
2
7
1
3
3
4
0
3
2
6
1
1
3
0
6
3
2
1
10
3
2
1
2
3
3
2
3
2
1
1
4
3
4
5
3
0
3
1
6
6
3
5
3
3
2
3
2
1
8
1
10
4
1
9
3
2
1
9
10
1
1
2
4
4
1
2
1
8
13
2
1
6
1
6
2
4
1
5
0
3
3
4
5
3
7
2
1
1
4
6
3
11
2
0
1
2
2
4
3
2
4
3
0
1
4
1
5
5
1
10
4
3
1
5
3
1
19
2
10
2
13
4
2
4
1
5
5
0
3
0
1
2
2
3
1
5
2
0
3
2
3
2
7
1
0
4
3
2
2
1
3
8
1
4
2
9
12
9
3
2
8
3
1
9
5
3
0
0
4
0
1
7
2
1
2
6
2
4
5
0
4
5
5
0
13
3
3
4
4
1
1
5
2
2
3
1
1
4
0
2
3
2
2
2
2
3
4
18
1
4
4
2
1
0
3
13
2
4
2
2
6
0
1
3
4
3
2
1
10
3
5
3
3
1
2
0
2
1
5
2
3
1
1
7
1
10
1
4
9
6
9
0
2
3
2
2
5
2
1
3
6
3
2
3
0
3
2
13
4
2
1
4
1
2
2
8
6
2
2
2
4
2
2
1
2
3
0
2
2
5
3
2
0
2
13
1
2
4
3
2
5
2
2
6
3
3
1
0
1
5
2
10
3
10
4
3
4
6
3
2
5
9
2
3
2
4
20
1
3
1
6
3
8
2
1
1
1
2
0
2
2
4
1
10
5
2
5
0
6
1
4
5
5
2
5
4
10
4
3
3
0
2
8
0
2
2
0
2
16
2
4
3
2
2
3
11
1
4
2
3
1
6
4
1
11
3
3
1
8
2
2
3
1
2
2
2
2
5
12
3
1
2
3
3
1
6
4
6
1
7
2
7
3
4
2
1
2
4
1
2
3
15
5
3
1
4
1
1
2
3
9
3
3
5
5
6
10
3
5
1
1
2
4
7
0
2
3
5
3
7
3
4
6
4
1
0
3
0
2
4
3
1
2
11
4
3
4
8
5
1
7
3
1
2
0
4
3
5
3
3
3
1
3
3
1
8
3
1
2
3
3
3
5
0
3
4
1
8
1
1
1
1
3
5
5
1
0
3
1
0
2
4
1
2
9
1
3
1
6
4
0
2
1
1
2
3
2
1
6
6
2
4
1
1
12
1
2
3
4
6
1
8
2
7
4
0
2
2
1
2
3
2
2
1
3
0
2
3
2
5
0
2
3
0
1
11
4
1
9
6
0
2
5
4
0
8
1
4
1
1
1
1
4
8
2
1
13
2
2
8
3
2
3
2
0
2
5
2
0
1
7
4
1
0
4
1
2
2
3
4
3
2
2
2
4
0
3
3
5
8
3
10
2
2
1
3
17
3
2
2
3
9
2
7
7
5
6
0
2
7
1
5
2
1
0
2
1
3
1
2
1
3
3
3
5
7
2
4
2
5
5
1
1
2
2
6
1
4
4
7
2
6
4
2
2
1
3
2
0
2
3
2
2
2
1
5
2
2
0
3
7
2
2
1
1
0
3
11
3
3
2
0
2
4
1
4
4
13
5
3
2
2
0
1
3
4
6
15
7
0
1
1
3
4
2
2
6
3
4
7
6
0
2
4
2
5
7
0
4
1
0
2
7
2
1
6
4
1
2
2
2
1
3
3
1
8
2
0
13
2
15
3
1
4
2
1
5
2
2
2
1
4
3
5
2
2
3
3
2
1
1
2
3
2
1
2
3
11
5
6
5
6
0
2
1
1
6
3
3
8
2
2
1
1
2
0
9
3
12
1
1
8
2
10
0
3
2
8
4
3
7
7
1
2
5
5
10
2
8
0
2
0
2
1
6
2
2
4
3
0
1
1
1
0
7
3
1
4
1
4
13
5
3
1
1
3
0
2
1
1
1
6
3
3
2
1
2
10
2
4
2
7
5
7
1
3
2
6
3
3
1
3
4
8
2
2
0
0
6
3
2
3
6
3
0
5
1
0
1
7
11
0
2
2
2
3
1
4
1
2
3
5
1
5
1
2
2
1
2
11
4
2
5
2
3
3
7
1
3
7
0
11
3
4
1
0
9
3
0
4
1
2
1
3
1
0
5
0
1
4
0
2
2
3
0
3
3
3
4
4
2
6
4
1
2
5
1
4
3
4
4
2
2
2
0
1
4
3
4
1
3
0
6
4
1
3
3
4
3
8
2
2
3
3
1
2
2
0
0
10
0
0
6
2
3
0
3
0
2
6
1
2
1
2
2
2
3
3
14
3
1
0
2
6
3
5
3
4
4
6
6
1
7
2
2
3
1
2
0
1
3
3
1
1
3
0
3
1
7
0
2
6
3
3
1
0
2
5
2
4
2
0
3
0
6
4
1
2
0
4
6
1
1
8
2
5
2
3
12
3
1
1
1
5
1
4
2
2
9
2
2
2
6
1
1
0
1
1
2
3
6
4
1
3
2
1
3
1
3
1
1
3
2
4
1
2
1
3
1
1
2
3
4
3
3
6
2
3
2
3
3
1
4
3
2
8
2
1
3
1
2
8
1
8
1
4
3
4
3
4
3
4
2
1
4
2
1
2
0
1
3
2
3
0
3
7
6
1
2
0
0
5
5
1
3
7
3
0
1
1
2
3
2
4
0
3
0
1
1
0
0
2
8
6
0
3
2
3
1
5
7
3
2
1
5
3
2
2
2
3
5
1
0
1
5
0
1
2
12
4
1
6
5
3
3
14
1
3
1
6
1
6
7
3
7
1
1
4
3
10
2
1
4
2
2
2
3
0
1
0
1
1
2
1
6
1
5
2
3
4
3
2
3
9
4
0
2
3
2
1
1
3
4
2
1
2
2
5
0
1
1
4
5
6
2
2
1
3
5
2
4
2
1
1
0
2
1
2
2
1
2
2
5
2
4
19
1
1
4
2
2
3
2
1
5
0
2
2
0
3
3
0
2
2
5
2
6
0
6
2
3
5
4
0
2
3
1
2
5
3
1
3
1
3
2
2
2
2
2
2
3
2
10
2
3
3
2
0
8
9
2
7
1
3
16
1
3
1
2
4
2
1
3
2
2
1
2
2
6
0
1
3
1
2
6
3
7
5
2
0
4
2
2
3
4
2
4
5
3
7
2
16
1
12
1
7
0
1
3
4
3
1
3
0
8
5
5
2
4
0
3
8
5
4
0
5
4
3
2
1
5
4
2
2
4
1
0
1
3
2
1
2
2
3
1
1
0
2
1
3
1
3
5
2
9
3
3
0
4
3
1
5
1
10
1
4
4
1
2
10
5
3
1
5
2
2
5
0
1
3
8
13
1
3
1
2
1
0
4
0
6
4
3
4
2
1
5
2
3
2
2
1
2
4
1
6
1
2
1
2
0
1
1
2
0
1
0
1
1
2
2
4
3
3
0
1
1
1
1
4
4
1
3
3
3
1
7
5
2
0
7
11
8
1
1
4
0
2
3
2
0
2
5
4
1
0
17
3
12
2
2
1
4
1
0
10
1
3
2
2
2
4
3
2
3
4
0
2
1
0
1
1
0
3
0
3
2
0
11
1
4
6
3
2
0
8
0
2
0
3
4
3
3
1
15
2
1
3
2
1
2
1
2
6
11
3
0
3
0
3
3
2
5
2
0
1
2
13
1
2
5
1
2
4
1
1
3
2
2
2
6
1
1
2
3
2
1
1
2
2
2
2
5
1
2
6
2
1
1
2
1
4
4
2
2
10
3
1
4
5
3
1
1
2
2
1
1
4
1
0
2
13
6
2
4
3
2
13
4
5
3
2
2
10
0
6
1
0
2
0
0
4
1
2
4
1
1
1
2
4
1
2
3
6
6
2
2
5
2
0
7
2
4
1
3
7
1
4
2
2
2
5
2
1
3
0
0
4
6
1
2
1
0
2
8
1
4
5
3
1
1
3
1
5
4
1
8
4
1
3
0
6
9
2
6
2
3
4
1
4
3
2
0
0
1
2
0
2
3
4
2
0
4
1
2
4
1
0
0
3
1
6
0
2
6
0
2
1
9
2
5
2
7
7
1
1
3
2
0
3
3
3
2
11
0
2
4
2
1
0
2
1
7
1
10
4
4
2
2
2
3
2
2
2
6
0
0
0
1
2
1
3
6
2
2
1
2
1
1
1
1
2
3
4
7
0
3
4
3
3
1
3
2
2
12
0
1
3
2
9
1
0
2
2
10
9
10
1
2
3
4
2
0
1
0
1
1
2
1
4
3
5
5
0
0
3
3
0
3
3
2
2
2
0
3
3
0
4
4
3
2
1
3
1
0
1
0
1
2
2
4
2
3
2
8
2
1
2
0
0
0
3
1
2
11
2
2
0
0
2
0
1
0
1
0
1
3
0
2
2
2
1
2
1
5
1
2
1
9
2
7
1
0
0
5
4
1
6
3
1
2
2
1
3
1
1
2
0
8
1
0
1
3
1
0
1
0
1
4
3
0
6
8
1
1
1
3
2
3
1
0
9
3
3
2
0
0
4
1
1
2
3
7
3
2
4
0
2
3
3
0
3
2
1
1
4
2
3
2
2
0
4
1
0
1
2
0
4
1
1
5
6
2
3
1
4
5
1
2
1
1
1
3
2
2
2
2
3
13
3
0
3
3
2
4
8
2
4
2
3
6
4
6
2
2
1
10
1
3
3
1
0
1
10
1
3
6
11
0
1
1
0
4
1
1
0
1
3
4
3
2
4
1
1
0
1
1
4
1
1
5
2
3
2
1
6
0
6
3
1
2
10
3
5
0
2
2
1
2
5
4
4
1
2
0
2
0
0
2
2
1
3
2
4
1
1
2
3
3
1
1
3
3
6
2
5
0
4
2
1
6
7
7
0
9
0
1
0
14
0
0
6
3
1
2
4
0
2
3
2
2
10
2
0
0
3
1
1
2
2
0
11
3
1
6
0
5
1
4
1
0
1
0
2
4
3
1
4
3
3
11
0
3
4
2
2
3
5
14
1
13
2
0
1
2
6
1
1
3
1
2
2
3
2
2
0
2
2
0
2
2
2
1
4
1
3
0
4
3
2
3
1
4
2
2
4
2
2
0
1
11
8
5
5
3
1
1
7
3
0
0
0
1
5
4
0
2
0
1
3
4
1
1
6
2
1
3
2
6
11
2
2
4
7
4
4
3
1
3
3
1
1
1
1
2
3
3
4
0
2
2
3
3
1
3
2
2
2
0
3
1
0
3
4
2
3
1
0
2
3
1
4
2
3
6
1
0
0
7
7
3
2
3
10
2
6
1
10
9
2
3
2
4
0
0
1
5
2
2
2
1
5
9
2
2
3
2
1
3
7
6
5
1
3
2
3
1
3
4
4
5
2
1
0
2
7
0
8
2
0
2
5
3
2
1
2
9
1
4
2
4
2
1
2
2
3
6
6
2
3
5
0
3
9
1
2
1
2
1
7
2
1
2
1
2
1
1
3
2
1
1
18
1
3
3
1
1
2
9
4
0
2
2
3
10
1
10
1
4
3
0
2
1
2
3
2
4
2
0
2
2
3
6
0
2
1
1
1
1
1
1
12
3
2
3
4
4
0
3
3
1
3
4
0
1
2
1
1
2
3
5
1
2
1
2
2
4
0
0
13
1
10
5
6
4
1
1
1
1
1
1
5
3
3
4
0
1
13
0
1
3
1
3
2
3
1
1
1
5
4
1
2
1
4
5
2
3
0
2
3
1
6
1
5
4
1
9
5
2
1
2
3
2
0
0
4
14
0
0
1
1
4
3
4
3
1
1
1
1
3
3
2
2
6
2
1
2
4
2
1
4
4
0
2
0
3
2
1
3
1
2
1
2
2
2
2
2
4
3
3
11
1
2
12
1
1
1
4
4
5
5
7
1
2
2
4
2
4
2
1
2
0
2
0
0
3
3
0
3
1
3
2
3
2
1
1
1
5
3
3
2
4
2
1
4
2
0
1
2
4
3
1
0
1
1
1
1
2
0
1
2
1
0
3
3
1
2
8
1
0
4
1
3
2
1
1
6
2
3
2
1
2
1
1
2
1
2
6
1
2
1
0
2
1
3
2
1
2
1
2
2
1
3
0
1
1
0
4
6
1
3
3
9
0
7
0
8
1
0
3
2
6
20
0
3
2
2
3
1
1
1
2
2
7
3
1
2
2
1
3
0
1
2
2
0
2
1
2
10
1
5
1
1
4
1
1
2
1
3
2
2
2
2
0
1
2
1
3
0
0
4
2
6
3
1
0
3
5
0
4
3
2
4
4
1
4
0
0
2
3
2
2
3
4
4
2
1
0
6
3
1
1
4
2
2
1
3
0
3
1
3
2
2
3
2
1
3
4
3
2
1
3
2
1
8
3
0
2
0
0
6
2
2
4
3
2
1
4
1
2
2
2
3
2
1
3
3
0
0
2
3
1
1
4
2
6
0
2
4
3
0
2
6
1
3
2
1
0
3
1
1
4
4
5
0
1
2
1
2
2
0
0
4
5
0
0
2
3
2
11
2
9
4
0
2
2
1
2
0
2
2
1
3
1
5
2
0
8
4
1
2
1
1
2
2
1
2
4
5
0
3
3
3
9
2
2
1
2
1
0
2
0
2
1
5
1
2
1
3
4
2
2
3
4
0
1
1
1
0
1
3
0
3
2
2
5
4
9
1
3
4
3
0
0
0
4
0
4
1
3
4
2
1
1
3
0
1
1
0
1
1
1
5
6
3
0
1
2
3
2
1
2
1
1
4
0
2
0
2
9
3
6
1
0
1
3
1
2
7
1
2
7
2
1
3
2
1
2
0
3
2
2
3
1
3
0
2
12
2
2
0
1
1
7
0
0
0
2
3
5
3
8
4
1
0
0
1
3
1
3
1
1
1
9
1
1
1
1
1
3
1
1
3
0
1
9
10
1
3
1
3
7
1
2
3
1
1
1
0
0
2
2
1
5
4
0
0
4
4
2
3
0
0
2
1
5
1
7
3
2
3
3
1
1
11
2
3
2
0
3
4
10
4
1
6
2
2
1
3
1
2
6
0
2
3
3
2
4
1
0
2
1
2
15
3
3
1
1
4
5
14
1
0
1
2
5
2
0
8
2
2
4
1
1
11
3
1
14
1
2
2
2
2
1
1
1
3
4
1
1
0
1
2
4
1
1
0
3
1
0
2
2
0
4
0
0
1
1
1
1
3
4
1
2
1
1
1
0
5
1
1
1
2
3
1
2
6
0
2
0
5
0
3
3
3
6
4
0
3
3
6
1
2
6
2
2
1
4
1
1
2
4
1
2
1
2
0
6
3
2
1
2
1
6
1
2
6
1
0
1
8
0
3
2
1
2
4
0
1
3
3
3
5
3
2
1
0
0
1
2
2
6
1
5
1
2
1
1
1
3
3
8
3
2
4
1
3
2
3
1
4
2
2
1
3
2
7
1
3
1
2
10
20
3
2
1
3
1
0
0
0
6
1
3
1
0
2
5
9
5
0
1
4
2
2
5
12
1
2
2
2
2
2
0
3
6
0
1
0
1
2
5
1
1
10
0
3
0
0
1
2
5
4
3
12
1
1
4
4
0
7
13
6
3
1
2
1
4
3
1
0
0
2
1
0
1
2
2
0
0
0
5
6
2
2
3
3
10
4
1
1
2
2
2
3
1
1
5
7
1
1
2
1
2
1
3
2
1
0
2
1
9
5
1
2
9
1
0
3
3
1
3
1
0
2
0
1
0
4
5
6
4
3
1
2
0
3
4
3
1
2
1
4
0
2
0
2
2
1
4
3
4
1
1
2
4
2
10
1
7
1
2
1
1
1
4
1
4
10
1
3
2
15
6
3
2
3
0
2
0
0
3
1
3
3
4
0
2
2
1
2
3
0
15
4
3
2
6
0
3
0
4
3
3
0
0
2
2
11
4
2
0
0
2
7
2
1
0
0
1
3
2
2
2
4
2
1
2
1
0
1
3
1
1
0
2
1
1
10
2
2
2
5
3
2
2
6
1
0
2
7
0
1
3
0
3
1
2
1
1
3
1
3
6
2
1
2
1
1
0
3
1
1
2
3
0
0
2
1
3
0
2
0
0
2
1
1
3
1
5
2
2
4
2
2
1
1
2
7
3
1
2
2
1
1
1
2
1
2
2
4
1
3
3
1
0
4
2
2
3
1
8
4
0
1
1
1
2
6
1
1
0
2
4
4
0
6
2
2
0
13
1
10
2
0
1
2
3
0
2
3
1
4
4
2
1
10
2
1
1
4
0
0
2
3
1
0
1
5
2
2
0
3
2
1
0
1
0
1
5
2
1
0
1
3
11
1
3
1
2
3
4
2
1
1
0
0
5
5
3
1
0
3
1
7
1
3
2
0
0
4
1
2
0
2
4
2
6
1
0
4
2
4
1
2
12
3
2
3
1
1
2
1
1
3
2
4
0
2
0
10
3
3
1
1
1
2
1
7
1
1
1
2
3
3
0
5
6
0
1
1
3
2
2
2
0
1
3
0
0
2
2
1
2
1
2
3
2
0
3
1
1
2
3
5
1
0
2
3
2
4
3
4
1
2
1
1
2
2
5
1
3
4
4
2
4
2
4
0
4
1
2
0
0
2
1
7
2
2
5
1
1
3
1
0
4
4
3
3
0
2
3
1
4
7
3
1
1
5
0
0
3
5
3
2
3
6
1
3
0
0
0
0
2
7
0
2
7
11
1
2
1
0
2
9
2
5
4
1
1
2
0
1
5
1
0
3
2
2
4
0
6
1
0
3
1
2
1
2
6
20
2
4
3
3
4
1
2
1
3
1
1
3
3
1
0
1
0
3
2
0
1
1
1
3
5
1
1
6
3
0
1
0
20
2
2
0
1
3
2
2
1
2
6
2
1
2
1
1
1
1
4
0
2
4
3
14
3
0
1
2
1
2
5
0
2
3
1
4
11
1
2
1
2
1
3
0
5
1
4
1
1
0
1
0
1
1
2
1
2
0
2
0
1
3
2
1
1
1
2
8
2
0
2
2
2
8
8
7
3
1
2
2
11
1
1
4
2
0
1
4
3
2
1
1
2
1
4
2
0
2
2
0
1
1
2
4
1
4
3
2
1
6
2
3
1
3
1
3
8
2
1
0
1
3
0
0
1
0
1
0
3
0
1
0
3
1
1
0
0
0
2
4
2
5
1
2
8
7
1
2
1
2
3
5
10
1
6
0
1
8
4
2
4
2
0
1
0
2
4
1
1
3
0
1
3
3
3
2
0
2
3
3
1
4
5
5
1
0
3
2
1
0
5
1
5
2
1
2
1
1
1
1
1
3
4
1
0
0
2
0
1
4
0
2
1
3
3
4
1
4
5
1
1
0
4
2
1
4
2
1
3
3
9
0
2
0
2
1
2
0
3
0
3
2
1
2
0
1
1
0
2
0
1
2
1
3
1
2
2
0
1
0
2
1
0
3
2
4
0
2
5
2
1
6
2
1
6
2
3
0
0
0
1
3
0
5
2
0
3
1
1
0
0
4
2
1
0
1
2
1
2
2
0
2
0
2
3
3
3
3
2
1
1
1
0
2
3
0
1
0
0
1
0
2
2
1
1
2
2
1
4
1
1
2
4
1
1
2
3
4
3
2
1
4
2
2
0
0
11
1
2
7
3
3
3
0
0
3
9
1
0
1
3
1
2
2
2
1
1
8
1
3
1
0
0
0
1
4
1
1
10
2
1
1
4
1
2
2
3
1
1
0
3
5
1
6
3
5
0
0
2
2
0
1
2
4
2
2
2
1
1
2
2
4
2
6
1
2
1
2
3
1
4
2
1
2
3
1
2
1
1
8
3
1
0
3
1
4
3
1
2
0
3
1
1
1
2
1
3
1
6
1
2
0
0
1
1
0
2
2
13
14
3
1
1
6
2
1
1
3
5
1
1
5
1
1
3
5
2
1
4
0
2
3
3
1
3
0
1
2
2
4
1
2
1
1
2
2
1
1
6
1
1
1
1
0
2
1
2
1
2
2
0
2
2
0
4
4
1
1
3
3
3
0
1
1
3
7
1
1
0
1
4
1
4
1
1
3
5
2
4
1
1
2
0
1
1
2
0
1
9
6
1
1
4
1
4
3
2
1
3
1
1
0
0
3
2
0
0
7
1
0
1
1
2
14
1
3
1
4
3
11
3
3
0
2
3
1
3
1
1
2
2
1
1
1
1
4
0
0
4
0
1
3
2
4
1
1
2
2
1
1
2
2
3
1
4
6
2
0
0
8
4
1
2
1
0
2
3
3
1
2
3
0
1
0
1
0
0
0
0
6
3
1
3
0
2
0
0
1
1
3
4
1
2
0
2
4
0
1
1
11
1
4
2
1
3
0
2
1
1
0
0
4
11
4
0
1
0
0
2
3
4
0
0
6
1
2
3
3
1
2
2
1
1
0
1
1
3
2
1
4
1
2
2
4
3
2
7
3
0
5
1
2
0
0
2
1
3
4
3
2
1
1
1
0
1
0
0
1
7
2
2
3
4
3
0
2
2
0
2
1
3
4
2
3
1
0
2
2
2
2
2
5
1
2
1
7
2
1
1
1
0
3
0
1
2
1
2
2
0
3
3
1
2
2
1
3
4
0
3
1
10
2
0
3
2
2
0
2
1
2
1
3
0
0
1
3
4
2
3
5
3
6
1
1
5
4
3
1
1
5
1
2
2
0
1
4
1
3
1
0
0
3
1
2
1
4
2
0
0
1
1
3
3
0
6
1
1
1
1
2
7
0
1
0
1
2
3
2
3
0
1
3
2
0
2
2
1
3
4
2
0
1
2
2
1
4
2
2
6
6
3
4
0
5
0
5
1
1
2
0
3
2
2
1
2
8
2
1
2
2
1
3
2
0
2
2
1
0
1
1
7
1
2
0
2
1
1
2
3
2
1
0
2
2
2
8
1
1
3
7
6
0
2
2
3
0
0
3
0
4
1
3
2
1
2
3
2
1
5
2
2
3
2
3
2
2
3
2
1
1
8
2
3
2
1
1
2
2
2
14
2
1
6
2
1
1
1
3
2
2
0
1
1
1
1
1
0
0
2
8
0
0
4
2
2
2
3
3
0
0
4
3
0
0
4
5
3
0
1
2
1
0
3
6
1
3
4
10
0
1
6
2
2
1
3
0
0
5
2
0
1
2
2
0
1
5
1
1
1
3
3
3
0
1
2
0
2
3
1
2
2
1
1
3
3
1
1
4
0
3
0
1
3
6
1
2
2
0
3
3
6
4
15
8
1
0
2
2
2
0
1
2
1
0
3
1
2
1
0
2
1
1
1
3
6
1
2
1
2
1
2
2
3
1
0
5
5
3
12
1
3
3
1
0
1
0
1
2
0
8
0
0
4
1
1
10
1
11
3
1
1
4
2
2
3
3
0
1
1
2
1
0
2
2
1
2
5
2
2
1
2
4
1
0
1
2
2
1
2
2
7
2
1
2
1
2
2
1
2
12
4
2
1
1
1
4
4
3
0
2
1
8
0
2
1
2
2
1
1
5
0
3
0
3
0
0
2
1
3
0
2
3
1
1
1
4
0
2
1
1
1
0
0
1
0
4
3
2
2
0
3
2
5
3
1
1
0
1
1
1
4
2
3
2
3
2
2
1
3
2
0
5
2
1
3
2
1
6
2
1
1
1
8
1
2
0
1
8
1
2
0
0
3
2
1
2
0
0
0
2
2
1
5
1
3
2
3
1
5
0
2
3
0
2
2
5
3
1
1
2
3
2
1
8
2
2
11
2
1
3
0
3
3
9
2
2
2
1
2
2
1
12
0
4
6
1
3
1
12
2
2
2
3
1
1
5
11
0
2
1
1
2
2
1
6
0
0
0
1
6
3
2
1
3
2
4
0
8
1
0
2
2
1
1
1
1
1
0
1
1
2
0
2
3
2
2
0
8
4
1
4
0
0
0
1
0
1
3
2
2
4
0
1
8
0
1
3
0
1
2
0
3
2
2
1
2
3
8
2
1
0
3
4
1
1
0
3
3
4
3
4
5
0
1
3
2
3
2
4
7
0
0
2
0
0
2
2
3
3
1
0
2
2
2
1
0
2
3
1
2
3
0
3
1
2
1
2
1
0
2
4
1
1
2
3
1
12
3
1
1
3
0
0
1
3
1
1
3
2
1
1
4
1
3
3
1
1
2
2
3
4
2
3
2
1
0
5
6
1
1
1
6
7
4
1
25
0
5
0
2
3
1
1
1
1
2
2
4
10
2
1
4
0
0
0
1
3
1
2
0
0
2
2
1
0
5
4
1
0
3
10
1
2
1
1
3
2
0
5
1
0
1
2
0
1
1
7
1
3
0
1
0
0
3
1
3
2
0
1
5
3
4
0
0
1
9
3
1
2
4
2
1
3
1
0
1
1
1
0
1
2
4
1
3
0
1
1
0
0
2
9
0
1
0
1
2
1
0
1
4
2
7
2
2
1
0
2
6
2
7
1
1
2
1
8
5
2
0
1
2
1
1
2
0
2
2
1
0
1
0
0
2
1
2
1
1
0
2
2
3
3
2
3
1
3
2
2
4
1
0
2
2
4
1
1
2
3
0
2
1
1
4
1
13
2
5
0
0
2
4
1
1
4
1
1
1
0
1
6
2
2
1
1
1
2
1
0
0
4
1
2
4
2
3
1
0
2
2
0
1
0
4
0
1
0
4
0
0
2
3
2
0
1
1
3
1
1
0
1
0
9
0
2
2
2
4
4
3
0
4
8
2
0
0
1
1
1
2
2
1
0
15
7
4
1
2
1
1
1
13
1
2
2
1
1
6
2
3
1
4
1
2
2
2
1
1
2
1
2
0
1
2
2
1
2
2
5
0
1
1
1
2
2
3
1
6
0
3
3
4
1
2
1
1
1
2
2
2
1
2
1
1
4
7
2
1
2
2
2
2
1
1
0
5
1
1
0
3
6
0
4
0
10
0
2
0
2
4
1
3
2
3
2
1
1
1
0
7
1
1
0
0
7
0
1
2
1
1
2
2
0
0
1
2
2
4
3
1
0
3
2
0
2
0
1
2
7
2
2
0
3
3
1
1
3
0
1
1
1
2
1
5
4
1
1
1
1
1
0
2
5
1
0
3
0
2
1
1
1
4
0
4
0
3
3
2
5
4
2
2
2
4
3
0
0
0
5
1
2
6
0
2
1
1
0
4
12
1
2
1
5
2
1
3
0
6
2
1
2
0
2
4
5
1
3
3
2
5
2
11
1
4
3
1
5
8
3
2
2
2
2
3
0
0
2
2
3
1
1
8
3
0
0
3
0
2
3
0
4
1
3
2
0
5
0
1
5
1
5
7
2
5
3
3
1
0
1
3
2
11
0
1
1
4
1
0
1
1
2
0
4
1
2
18
2
1
3
0
1
4
3
0
4
8
0
3
1
4
0
6
3
5
0
3
1
1
0
1
3
6
1
3
1
0
0
1
2
2
0
2
2
2
2
1
1
0
0
0
1
1
3
4
1
4
1
0
5
0
1
1
0
1
1
2
0
1
3
6
0
0
3
1
4
2
0
8
0
1
0
1
2
1
2
3
3
1
1
2
0
14
11
11
1
0
3
1
1
1
2
1
1
1
10
0
2
1
3
0
2
0
3
3
0
1
1
2
0
2
1
2
0
0
0
0
2
5
1
0
3
4
1
4
2
2
2
2
3
1
1
0
4
1
0
0
1
1
2
1
0
1
2
1
15
0
1
2
2
2
3
1
0
2
0
0
1
2
2
5
0
1
0
0
2
2
3
1
0
1
1
9
1
1
2
2
0
3
7
0
1
0
0
1
3
1
0
3
1
8
0
1
3
2
0
1
1
3
4
4
4
3
1
1
3
2
3
2
0
2
1
2
2
1
2
1
5
2
2
2
1
1
0
3
0
1
0
0
0
3
0
0
2
1
2
2
3
1
4
1
1
1
1
1
0
2
0
2
2
2
0
0
1
0
3
1
0
3
1
1
1
1
2
7
3
2
0
1
0
0
1
0
2
0
1
3
0
2
3
2
0
1
4
1
3
5
0
2
5
4
1
2
0
3
6
4
1
0
0
0
1
2
3
0
3
2
2
3
0
1
2
0
1
4
2
5
1
2
1
2
0
0
2
0
1
3
4
0
2
2
8
14
5
2
0
0
1
0
1
2
1
0
0
1
4
1
1
3
6
2
8
1
3
2
1
1
6
0
1
3
1
0
0
2
1
2
4
1
1
5
3
1
4
1
2
2
2
1
1
7
0
3
8
1
4
6
2
3
1
3
2
1
2
0
0
0
0
1
1
1
2
1
0
0
1
3
1
1
2
4
0
0
1
1
6
1
3
2
0
0
2
2
3
2
2
1
1
1
18
2
3
2
1
8
9
1
0
1
4
1
2
0
2
3
2
2
0
0
1
1
1
2
1
3
1
3
3
2
0
0
1
0
1
2
0
4
1
2
4
2
12
1
3
3
2
1
0
1
3
1
4
2
2
2
1
5
1
1
1
0
3
1
1
0
3
0
2
1
3
1
2
1
2
2
3
7
0
3
1
3
1
0
1
0
1
3
0
11
2
8
1
2
1
2
1
0
4
10
1
2
2
1
2
2
4
2
3
0
1
1
1
6
1
1
0
1
1
3
3
2
3
0
2
3
1
1
1
0
1
0
1
2
1
0
9
1
2
1
2
3
1
0
2
1
0
1
2
2
2
0
2
2
1
2
2
1
1
1
1
9
1
4
1
6
6
1
3
1
0
0
0
1
1
1
2
1
12
1
2
2
2
4
3
0
14
6
1
0
1
0
8
6
2
2
2
0
2
0
3
3
12
4
1
2
1
1
1
0
3
1
1
4
2
1
1
3
4
7
1
0
0
1
1
1
2
5
0
2
3
3
4
4
0
1
1
2
3
0
1
1
1
1
2
1
3
3
1
7
1
0
3
0
2
2
0
5
1
5
0
1
4
1
1
3
3
6
1
4
2
1
0
1
0
0
2
0
1
2
0
2
2
0
1
3
2
1
2
5
15
3
6
1
3
1
6
1
3
1
6
2
0
0
2
3
2
4
1
1
0
1
9
1
1
1
1
0
1
1
3
0
1
1
0
2
1
2
1
0
0
3
3
0
1
1
1
0
2
2
0
0
0
1
1
2
2
1
2
1
1
5
8
1
2
2
2
4
1
0
2
3
1
3
1
10
2
1
0
2
4
6
1
0
2
3
1
1
2
1
7
2
4
0
0
0
2
0
2
2
1
1
2
4
2
0
1
2
11
0
0
1
2
1
0
0
3
3
0
0
5
11
2
1
1
0
2
0
1
3
2
1
1
6
0
3
2
0
0
2
1
0
0
3
0
1
1
2
1
1
2
1
3
2
0
3
5
1
1
2
1
1
1
2
0
1
1
1
0
3
2
1
0
3
1
13
6
1
1
2
1
3
5
0
1
0
0
0
2
0
0
4
2
0
3
0
2
1
14
8
0
1
2
1
1
2
2
2
8
0
1
1
1
1
2
1
4
1
3
1
1
1
3
2
2
5
1
1
1
1
2
2
3
2
1
5
0
0
2
1
5
1
2
0
5
1
0
1
2
5
0
0
6
2
1
1
8
2
2
1
1
2
1
1
0
1
0
2
1
4
1
0
0
1
0
0
1
0
2
1
2
1
0
0
0
0
2
3
2
0
1
1
1
0
4
1
3
4
3
0
1
1
1
4
0
3
2
0
1
2
0
1
2
1
1
2
1
2
1
1
0
2
3
2
0
1
2
3
1
7
3
2
0
1
2
1
3
0
0
1
2
0
2
3
2
1
2
1
4
0
2
4
0
1
2
2
2
0
0
1
3
1
0
2
3
0
1
1
4
0
0
0
2
2
2
3
4
1
9
1
4
5
1
1
4
8
0
0
2
0
1
0
2
2
2
1
5
0
2
2
2
1
0
1
2
2
1
0
0
1
1
1
0
2
1
3
4
0
1
3
2
5
6
3
4
2
1
0
2
0
1
1
1
0
0
0
2
0
0
2
3
0
2
1
2
1
1
1
1
2
4
0
10
2
1
2
6
1
1
1
2
0
0
1
3
1
1
2
2
6
1
1
1
1
1
1
0
0
8
2
1
0
1
1
0
0
4
1
8
2
0
1
0
0
1
1
4
1
2
0
2
1
1
2
4
1
0
6
2
1
0
1
2
1
2
1
0
0
2
2
3
2
1
1
2
0
3
1
1
3
5
1
3
1
1
2
3
10
0
1
7
2
2
1
1
3
0
0
0
2
1
0
2
4
3
3
1
1
3
2
0
0
3
1
3
2
0
0
0
0
5
1
1
2
2
3
3
1
3
1
1
2
2
5
0
0
3
0
2
2
1
0
2
0
1
1
2
1
10
1
2
2
0
1
3
2
0
2
0
0
2
13
1
2
0
1
0
0
2
2
5
1
0
2
1
1
3
4
1
3
7
1
1
4
2
3
5
1
5
1
1
1
0
7
3
2
1
2
1
2
1
4
0
1
0
1
0
1
3
7
0
6
1
0
2
2
1
0
1
0
2
2
2
1
1
1
2
9
3
0
1
1
0
2
0
0
1
1
3
2
4
2
2
2
2
5
3
1
1
1
1
2
12
0
2
0
1
0
0
1
0
1
3
1
2
0
5
1
1
1
1
1
0
1
1
0
0
2
1
1
2
1
0
18
3
3
0
0
3
0
0
1
0
2
1
2
1
2
4
0
2
1
0
0
0
1
0
0
1
2
1
1
3
0
0
1
1
2
0
2
1
3
2
2
1
0
1
1
0
2
0
1
2
2
3
0
0
6
1
1
3
0
6
1
1
1
1
3
2
8
0
1
0
4
1
3
1
2
2
1
0
1
0
4
2
1
2
4
2
0
2
1
1
3
0
0
1
1
1
3
0
3
1
0
1
2
3
1
2
3
3
1
14
1
2
1
0
2
2
1
2
1
1
0
0
0
0
2
1
1
1
0
0
1
0
1
1
9
0
6
8
0
0
1
3
3
0
1
2
0
2
2
0
1
0
3
0
2
1
3
0
1
2
1
2
0
1
2
4
0
2
2
0
7
1
3
2
1
3
1
1
2
1
3
0
2
3
2
1
0
1
0
5
2
0
0
0
1
1
1
2
1
0
1
3
2
5
0
2
2
1
5
1
8
2
3
2
9
2
1
0
2
2
1
1
0
1
2
1
0
3
4
5
0
4
0
3
0
2
0
0
0
2
1
1
0
1
2
3
3
2
2
1
0
2
2
2
6
2
1
1
1
1
0
4
1
0
0
0
0
2
1
1
1
7
5
0
1
12
1
1
0
2
4
1
1
2
6
1
1
1
10
4
2
1
2
0
0
4
1
2
2
2
1
1
1
1
1
0
0
2
1
12
2
0
1
0
0
0
1
0
0
1
4
1
2
2
1
2
0
1
0
1
0
1
3
1
2
0
1
1
1
1
2
5
2
0
0
1
2
1
0
0
0
2
4
1
8
2
2
0
0
2
1
2
1
2
0
1
2
2
5
8
8
1
2
1
1
2
20
3
4
0
2
0
4
2
2
4
0
1
0
3
1
8
1
0
2
1
2
2
2
0
2
0
0
1
0
0
1
2
2
1
1
2
5
2
2
0
1
3
6
1
1
2
1
0
3
0
1
0
0
2
1
5
1
1
1
1
2
2
1
2
2
1
1
6
0
1
0
1
2
1
3
1
1
1
2
2
1
4
3
1
3
1
3
2
0
1
4
1
2
3
2
3
0
2
9
0
2
3
1
0
7
2
0
2
5
0
0
0
1
0
0
2
3
2
0
1
2
2
0
0
12
4
4
0
2
3
3
2
1
0
3
2
2
0
1
2
1
2
2
2
0
0
0
4
0
2
1
3
3
3
2
1
1
1
12
2
1
1
1
2
1
2
1
2
3
1
0
1
1
2
7
2
1
1
7
2
1
3
2
3
0
0
2
1
1
0
1
0
2
1
0
1
3
1
1
4
3
12
0
2
5
2
0
1
1
3
0
0
2
1
1
1
0
1
1
2
0
1
1
0
1
2
5
1
3
0
0
1
8
0
1
1
0
1
0
2
1
2
5
0
0
2
3
1
1
0
1
5
0
1
1
1
0
3
2
0
1
0
1
1
2
0
4
0
0
1
0
0
1
3
3
1
0
2
4
1
0
5
1
1
5
1
3
1
1
1
3
1
2
2
1
0
0
3
1
4
2
2
1
2
0
2
8
1
1
1
1
2
0
2
6
1
0
1
2
0
1
3
2
1
1
2
0
0
2
1
2
1
2
2
2
4
1
3
1
3
0
0
2
1
1
1
0
4
2
0
1
10
3
2
0
2
0
0
2
1
3
3
1
1
3
0
0
2
0
0
1
0
2
0
1
0
1
0
2
0
1
2
1
1
0
2
2
0
1
1
0
11
0
0
1
1
1
1
2
4
3
0
4
3
0
0
2
4
0
2
0
5
0
2
0
3
1
2
0
3
1
2
4
2
4
0
2
2
1
3
2
0
4
3
1
0
1
14
2
2
0
0
0
1
0
1
1
2
2
0
0
1
1
0
2
8
2
1
1
1
1
1
0
2
0
2
1
0
2
6
1
3
4
3
0
3
0
0
1
1
1
0
3
1
0
2
0
0
1
0
1
1
1
3
1
1
6
4
1
2
1
2
3
1
1
0
1
0
1
1
1
3
6
6
2
1
0
1
1
2
0
2
0
3
3
2
0
0
3
4
2
1
0
0
3
1
2
2
2
15
2
3
0
3
3
1
0
1
3
1
2
0
0
1
2
2
1
0
3
1
2
0
2
1
6
1
2
1
1
1
9
6
0
0
0
1
2
1
2
2
3
7
2
1
4
3
2
2
0
1
2
2
1
1
1
0
3
3
2
2
1
0
1
0
5
1
0
0
10
0
2
0
1
1
4
2
1
2
2
1
1
1
2
0
0
0
5
1
0
3
2
1
1
0
0
1
1
1
2
1
8
3
0
0
1
2
3
1
4
1
0
2
3
1
1
0
2
0
1
0
4
1
0
1
1
1
4
0
0
1
0
0
4
2
2
1
1
4
1
1
1
2
1
3
1
2
4
1
0
1
0
0
0
8
2
2
0
1
1
1
2
1
1
1
2
4
0
1
0
0
1
3
1
0
1
1
0
1
0
2
2
1
0
2
1
0
2
0
5
1
2
2
1
2
1
2
1
2
0
1
0
1
1
1
2
6
1
0
1
4
0
4
3
5
0
2
1
1
4
3
4
2
1
1
1
1
1
2
1
0
0
3
9
2
0
1
4
0
0
1
7
0
1
1
2
0
0
0
2
1
1
1
0
4
0
2
1
4
3
3
2
2
1
2
2
0
4
0
0
3
2
1
0
3
0
6
0
0
0
0
1
0
2
2
2
0
0
12
1
2
2
1
1
1
2
0
2
9
3
1
0
1
1
2
1
0
0
3
0
2
1
2
1
0
1
2
0
0
0
1
0
2
6
1
1
0
1
1
0
0
3
2
2
1
1
2
0
3
2
1
1
1
1
0
2
2
0
1
3
2
0
0
1
2
1
1
4
1
0
1
0
1
1
0
2
2
0
2
0
2
5
0
1
2
1
1
3
2
1
1
1
2
1
1
1
1
1
0
0
4
1
2
0
2
0
1
1
0
2
1
0
2
2
2
3
0
2
0
2
2
0
0
1
1
3
5
11
0
1
5
4
2
6
3
0
0
8
6
0
1
1
0
3
0
2
0
0
2
2
0
0
1
1
2
1
2
1
0
4
0
1
1
0
1
1
0
2
2
0
3
1
7
0
1
1
1
2
1
3
3
5
1
4
4
1
3
1
1
2
1
0
1
1
0
1
2
10
3
0
1
1
2
2
2
2
0
0
0
3
2
0
0
3
2
2
2
2
1
2
2
2
4
1
0
4
4
1
2
1
0
1
2
0
1
3
0
2
1
0
2
0
6
1
0
0
1
1
1
2
2
0
1
3
3
0
1
1
2
1
2
1
4
0
1
2
3
1
0
3
1
0
5
2
0
11
1
2
1
1
1
0
2
5
0
2
0
1
0
11
0
2
5
0
0
2
1
1
0
1
2
1
0
1
1
0
1
1
0
1
1
1
2
0
1
0
1
2
0
2
1
1
0
1
1
1
2
4
1
1
2
1
2
3
0
5
0
0
1
0
0
0
1
0
1
1
0
1
1
0
1
1
1
0
0
1
1
2
4
1
0
1
0
2
1
1
2
0
2
1
3
0
0
1
0
4
8
0
1
0
0
1
1
1
0
1
3
0
3
1
0
18
2
1
1
4
3
1
1
1
2
3
1
0
0
2
0
1
6
0
2
4
3
5
3
13
2
4
0
3
1
2
1
1
0
1
1
1
0
3
3
0
1
2
0
0
5
0
2
2
0
0
1
0
2
0
2
19
1
0
2
0
1
0
4
0
0
3
0
2
2
0
3
1
0
0
3
0
1
2
0
1
2
2
1
2
2
2
1
2
0
1
3
2
2
1
0
0
2
1
1
1
2
0
2
0
0
0
4
0
2
2
2
1
1
0
1
2
1
3
1
2
1
10
1
2
0
1
1
0
1
0
3
1
4
2
2
0
0
1
1
0
2
0
0
0
1
2
0
4
3
3
3
0
0
2
2
1
0
0
0
0
0
1
1
2
3
1
1
2
0
0
2
0
1
5
3
1
2
0
4
0
1
2
2
1
1
0
2
2
0
3
1
3
0
0
0
3
1
1
2
1
1
1
2
1
0
0
1
0
1
1
2
1
0
0
3
1
1
2
0
3
1
1
3
2
2
0
0
3
4
1
1
2
1
0
1
3
0
1
0
1
1
0
0
1
1
1
0
3
2
0
1
1
0
4
2
0
1
0
2
2
0
0
0
1
1
0
2
1
2
0
1
0
2
2
3
1
1
2
2
2
1
3
2
0
0
1
1
3
3
0
1
0
1
3
0
0
1
2
0
0
0
0
0
3
2
1
1
1
1
1
1
1
3
3
1
1
0
0
0
2
0
1
2
1
3
2
0
0
5
1
1
0
1
1
0
2
13
3
0
4
1
3
1
3
1
1
1
5
0
4
3
1
1
0
2
1
0
2
0
4
1
0
0
1
4
1
2
2
0
1
0
1
1
0
2
0
0
0
0
1
2
3
0
4
2
2
0
1
0
0
0
3
3
2
4
1
0
1
2
2
1
1
1
3
1
2
0
0
1
1
7
2
0
0
2
4
4
2
3
0
0
5
3
1
2
1
0
1
1
1
0
2
3
4
0
0
1
3
3
2
0
2
1
1
2
2
10
2
0
1
2
1
1
3
1
1
1
7
1
1
2
2
1
3
0
3
2
1
0
0
2
2
1
1
3
0
0
0
0
1
0
0
1
2
2
1
0
2
1
1
0
0
1
1
1
1
1
0
0
0
1
3
1
1
0
2
1
3
5
3
4
0
1
2
10
3
1
2
12
0
2
1
1
2
0
1
0
1
0
0
1
3
0
3
1
0
2
1
0
1
0
0
1
1
1
2
0
3
1
0
2
1
1
0
1
1
0
1
1
1
1
0
1
7
1
0
4
0
0
2
0
2
1
0
0
1
1
1
2
4
13
1
3
2
4
1
3
1
2
9
1
0
1
1
1
2
0
4
1
2
0
0
3
1
1
1
0
4
2
2
3
1
0
1
1
0
3
0
0
2
2
1
0
0
0
0
2
2
0
4
1
1
1
2
0
2
1
3
1
2
0
7
2
1
1
0
1
1
0
1
1
0
1
0
0
1
2
0
2
2
3
1
1
1
1
0
3
3
1
1
0
6
0
0
1
0
1
2
0
1
11
1
0
6
0
1
2
1
1
1
0
0
2
1
2
8
4
2
0
1
1
1
2
0
1
1
1
1
1
0
4
2
0
0
2
0
3
0
1
0
2
2
1
2
2
2
2
1
2
2
2
1
1
4
1
2
1
0
3
1
2
2
1
0
6
3
1
0
0
1
0
5
1
2
1
2
1
3
3
3
1
2
0
0
1
2
1
2
1
1
1
4
1
0
0
1
0
2
0
0
0
2
0
1
3
0
0
2
0
2
1
1
8
4
1
8
2
1
1
2
1
1
1
1
1
5
2
2
3
1
0
0
0
0
2
1
3
1
1
0
4
2
1
1
3
0
2
0
1
1
2
4
1
0
1
1
1
0
2
0
0
2
0
1
1
2
0
1
1
0
0
0
1
1
1
4
1
0
0
4
3
1
1
3
2
0
2
0
4
2
3
3
1
1
1
2
2
1
4
1
1
0
1
1
1
2
8
1
1
1
0
1
1
0
0
0
1
2
0
0
2
1
1
0
3
2
2
2
0
8
0
3
7
2
3
5
0
0
0
0
2
0
3
1
2
1
1
2
2
0
1
0
2
4
0
1
2
2
5
1
1
1
3
0
5
1
0
3
1
2
1
2
7
1
3
1
8
1
2
0
3
5
0
1
2
0
3
1
1
1
2
5
0
0
0
5
0
1
0
0
0
1
2
1
1
0
0
1
1
22
0
0
2
1
0
1
0
1
0
2
2
0
4
1
1
1
1
0
1
0
1
0
0
1
0
3
3
3
0
1
2
2
0
3
0
1
4
0
2
1
0
1
0
4
0
0
0
1
1
2
1
1
0
1
0
2
0
0
8
0
1
2
0
0
1
2
2
1
3
0
2
2
0
3
0
1
0
1
0
1
4
1
1
1
1
1
2
4
0
7
0
0
2
1
0
1
1
1
3
1
4
1
6
0
1
0
0
2
1
2
1
0
0
1
2
0
0
2
2
1
2
2
3
0
1
3
1
1
5
0
1
1
0
0
2
3
0
0
8
0
0
1
5
0
2
1
1
0
0
0
0
1
0
0
0
1
2
1
3
3
0
1
0
2
2
1
1
2
0
1
1
2
2
0
0
1
1
2
3
2
1
1
1
0
0
0
2
1
0
0
0
3
2
1
5
1
4
2
1
3
1
0
0
1
1
6
0
0
2
2
2
1
0
1
2
0
1
0
1
0
1
0
1
0
0
1
1
3
3
1
0
2
7
1
1
1
0
1
0
2
0
1
1
0
5
3
0
2
0
2
0
3
1
6
4
1
2
1
0
0
3
1
0
2
0
2
1
1
4
1
1
0
0
0
0
2
0
0
0
0
1
0
1
4
0
3
0
0
2
0
1
1
2
5
1
2
1
1
0
4
3
4
1
0
1
3
0
2
1
3
0
1
0
0
0
4
0
1
3
1
0
0
1
0
0
0
4
3
2
0
1
1
1
0
1
2
4
2
0
1
2
6
0
1
2
2
1
1
2
0
1
3
3
3
1
3
0
1
2
0
3
6
1
0
0
1
1
2
6
1
1
19
1
0
0
0
1
1
2
2
0
2
0
2
3
0
0
3
0
1
0
0
0
2
1
0
1
3
1
8
1
1
0
0
0
0
1
0
1
0
2
0
1
2
0
0
2
2
2
0
0
1
0
2
1
0
0
1
0
1
0
0
2
0
1
0
0
1
0
2
1
2
2
0
7
0
1
2
1
1
2
1
0
0
1
1
0
0
3
1
1
3
0
1
1
0
0
10
1
1
0
2
2
1
2
2
0
2
1
0
1
2
0
2
7
0
0
1
2
1
0
2
1
3
0
1
12
1
1
1
8
0
1
2
1
2
6
0
1
0
1
0
0
2
1
1
1
1
3
2
1
0
0
2
0
1
8
2
1
1
1
2
5
4
0
0
0
0
0
1
0
1
0
1
2
1
1
2
1
2
0
2
4
1
1
2
2
1
1
1
1
3
1
5
0
3
6
0
0
0
1
2
2
3
5
2
1
0
2
0
4
0
0
0
6
1
1
1
0
0
0
0
4
2
0
5
2
2
0
4
1
1
1
0
2
1
2
0
1
0
1
1
1
1
1
0
5
2
1
1
0
1
0
1
3
0
18
1
0
0
4
0
1
0
1
0
2
0
1
1
0
1
5
1
0
0
1
1
3
0
2
2
2
1
1
1
0
0
1
1
1
0
2
2
3
0
1
1
2
3
1
1
0
1
0
1
3
2
2
0
0
0
1
1
0
0
0
2
10
1
2
0
1
0
5
5
1
1
0
2
1
1
0
0
2
1
0
1
2
2
1
0
2
6
2
0
1
1
1
0
1
0
2
0
3
1
1
1
2
2
1
2
2
1
1
1
2
0
2
0
4
1
1
4
0
1
1
1
3
0
1
0
1
0
1
1
3
0
2
2
0
3
2
0
2
1
0
0
2
2
1
1
3
3
1
1
0
1
0
8
4
2
0
1
1
4
2
0
1
0
3
1
0
2
1
6
0
1
2
1
0
0
0
3
0
1
2
1
1
1
2
3
1
1
1
0
2
3
0
0
0
4
0
2
1
1
0
2
2
2
4
0
0
0
1
0
0
15
2
1
2
0
0
1
0
0
0
1
0
2
2
1
0
9
2
2
0
4
1
1
2
1
3
2
1
2
0
3
2
3
0
1
0
0
0
2
2
4
2
0
7
0
2
1
0
3
1
1
1
2
2
2
1
1
0
1
0
3
1
2
1
1
0
1
1
2
0
0
1
2
0
0
8
0
1
0
0
0
1
0
0
2
0
2
2
1
0
1
1
1
2
1
2
3
2
3
2
1
0
2
2
0
7
1
0
0
3
5
1
0
1
0
3
2
1
2
0
2
0
0
1
1
0
0
1
0
2
1
1
2
0
0
3
0
1
2
0
1
1
1
1
1
3
0
2
2
0
0
2
1
1
0
3
2
1
0
2
1
0
1
0
2
1
1
0
1
2
2
1
1
0
0
0
1
0
0
3
0
5
0
1
1
1
0
1
2
1
0
2
0
1
1
2
2
2
0
1
1
1
5
0
0
2
1
2
1
3
0
0
1
2
0
1
1
0
0
1
2
0
2
1
0
2
2
1
0
0
2
0
1
0
0
2
4
0
0
2
0
1
1
0
1
0
1
1
1
2
0
1
0
3
1
1
2
1
1
1
1
0
2
1
0
1
3
1
0
0
0
0
2
1
6
3
1
1
1
4
1
0
2
0
0
2
1
1
0
2
0
0
0
1
0
2
1
0
1
0
2
0
0
0
0
2
2
3
1
3
2
1
1
1
0
0
1
1
4
1
2
2
0
1
0
1
4
1
3
2
2
2
5
0
1
1
0
2
2
2
1
0
2
0
1
3
1
1
3
0
2
3
1
1
1
1
2
1
4
2
3
10
0
1
1
0
2
2
0
0
0
0
1
3
0
2
1
1
0
1
0
2
1
2
3
2
3
0
3
1
1
2
1
1
1
0
1
0
1
2
0
3
0
0
1
3
0
1
1
0
1
0
2
0
2
1
0
0
0
2
4
1
1
0
3
0
0
0
0
2
0
2
1
0
1
0
1
1
0
1
1
0
0
1
2
1
0
0
1
0
0
1
0
0
1
2
0
1
0
1
2
5
0
1
1
0
3
0
1
2
0
0
1
2
0
1
1
2
2
0
2
0
1
5
1
0
1
0
1
1
1
0
0
2
1
0
0
1
1
0
0
0
1
0
1
0
0
1
2
1
1
1
0
1
1
0
0
1
2
1
1
0
1
0
0
1
2
0
0
1
0
0
0
2
1
1
2
0
1
3
0
0
1
0
0
1
0
1
3
1
0
8
1
0
1
2
2
14
0
0
1
1
1
4
0
0
0
1
1
0
0
0
2
2
1
0
0
0
0
3
0
0
0
2
4
1
3
1
0
0
2
0
3
2
0
0
0
1
0
2
0
1
0
2
0
1
0
1
2
1
0
1
0
0
1
1
0
9
3
0
1
0
0
1
1
1
0
3
1
2
2
1
0
0
0
1
4
2
0
2
1
0
2
2
1
2
2
0
3
2
0
1
0
3
0
0
2
2
3
1
0
1
1
1
0
3
0
3
4
1
2
0
1
4
2
0
1
1
2
0
0
0
4
0
1
0
1
0
2
0
1
2
3
2
2
0
3
1
1
0
1
1
0
7
5
0
0
0
2
1
0
0
1
2
1
0
1
1
0
3
1
1
0
1
0
1
1
0
1
0
0
1
2
1
1
1
2
0
1
0
0
2
1
1
3
0
0
0
0
1
2
0
14
2
1
2
2
0
0
1
0
1
1
2
1
1
2
5
2
0
3
1
4
3
1
3
1
1
1
0
1
0
1
1
0
2
2
0
1
2
3
0
2
1
3
2
1
0
1
1
0
3
1
2
3
1
3
1
0
0
7
2
0
2
1
0
7
0
4
2
1
2
1
1
2
2
0
0
2
2
9
2
0
3
1
0
1
1
1
1
0
2
1
0
0
2
3
0
2
0
1
1
1
1
0
1
0
2
4
0
4
2
2
0
1
2
0
1
1
1
2
0
2
1
3
1
4
3
1
1
0
1
10
0
2
4
0
0
0
2
1
0
1
3
1
0
1
2
2
1
1
1
1
0
2
0
3
2
4
3
1
0
1
2
1
12
1
2
1
0
2
1
0
4
0
0
3
1
0
0
0
1
1
1
2
1
0
1
1
1
0
0
1
0
1
2
0
1
0
0
0
5
0
1
1
0
1
0
2
0
1
1
2
1
0
1
2
5
0
0
1
2
4
1
0
0
1
1
1
0
0
1
3
2
1
0
1
1
1
2
2
1
5
1
1
1
0
0
1
1
3
3
4
1
0
0
1
2
0
1
2
2
0
1
1
4
0
5
2
0
0
0
2
2
1
0
2
0
2
0
1
0
0
1
3
0
0
0
2
4
1
2
1
0
0
5
0
2
0
1
1
1
0
0
0
3
0
0
0
1
1
2
1
0
1
4
1
1
1
0
2
2
2
6
2
1
0
1
0
0
1
2
2
3
4
1
2
4
1
7
1
0
13
1
1
4
1
0
0
3
1
0
2
5
1
1
1
0
0
1
0
10
1
2
0
1
3
2
8
1
0
1
2
0
3
3
1
1
1
0
0
0
1
1
2
3
1
3
0
3
0
1
2
2
0
0
2
4
0
0
4
5
2
2
0
0
1
1
0
0
1
1
1
1
1
1
1
1
1
0
1
3
2
0
2
1
2
4
0
2
1
1
1
0
0
2
1
0
0
0
1
2
4
2
0
2
8
0
0
0
1
0
3
1
1
1
1
1
0
1
1
0
0
1
0
1
2
1
1
0
0
4
1
2
1
2
1
1
1
2
2
1
0
0
0
0
3
0
1
0
0
9
9
1
1
1
2
1
1
1
1
3
2
5
0
2
1
1
0
1
0
0
0
0
1
1
2
1
0
1
0
0
1
1
2
3
0
0
1
0
0
1
0
1
0
1
1
2
1
2
1
0
1
2
1
5
0
2
10
2
1
0
2
0
1
3
3
4
0
0
0
1
0
2
0
1
2
3
1
0
2
1
2
1
3
0
3
1
2
1
2
4
0
1
3
0
5
0
2
0
2
0
1
0
0
0
3
3
1
6
0
5
2
0
1
1
0
1
3
1
1
0
1
0
3
1
2
2
1
0
0
2
1
2
3
2
2
2
1
1
0
2
0
2
0
1
1
2
2
1
0
0
0
1
1
2
0
0
1
3
0
0
1
2
1
2
1
1
0
2
0
2
0
3
0
1
0
0
0
1
2
1
1
1
3
2
1
0
0
1
1
1
0
1
1
0
2
0
0
1
2
3
1
0
1
0
1
1
3
3
1
1
1
5
0
1
3
4
1
0
1
0
4
2
1
0
5
0
5
0
6
2
2
0
1
1
0
5
0
0
0
2
2
0
2
1
0
1
1
2
7
0
1
0
0
2
0
2
1
1
0
2
0
1
0
0
1
0
0
2
0
1
2
0
0
0
1
1
1
1
1
0
0
1
3
4
1
2
1
1
2
2
2
0
0
2
0
0
0
1
1
1
2
0
1
0
4
2
2
2
2
1
0
0
1
2
0
2
1
3
8
1
5
0
2
0
1
1
0
2
0
1
3
10
0
0
2
0
1
1
0
2
1
2
0
0
0
0
1
0
0
1
2
1
1
0
0
3
0
2
1
0
0
2
3
2
1
5
2
3
0
5
0
0
2
2
2
0
1
1
0
0
1
0
0
1
3
0
1
0
1
1
0
1
0
0
2
9
1
0
1
0
0
1
1
0
1
4
5
1
0
0
2
1
1
3
3
1
0
1
1
1
1
0
0
0
1
0
3
6
1
2
1
0
2
1
2
0
0
0
3
1
5
0
2
4
0
1
1
0
1
1
2
1
0
0
4
0
2
2
1
2
0
0
0
2
1
2
1
0
1
1
0
0
1
1
0
0
2
1
1
1
3
3
3
1
4
1
0
1
1
1
4
2
0
0
0
0
0
1
2
1
1
4
2
0
2
0
1
1
3
1
0
0
1
2
0
1
2
2
1
0
0
1
1
5
1
2
6
3
0
0
1
2
2
0
1
0
0
0
2
3
1
0
2
1
1
0
1
1
1
1
0
1
2
0
1
0
2
0
0
3
0
4
1
1
2
0
1
8
1
0
2
2
1
0
2
1
2
1
1
1
9
1
2
1
2
0
1
0
3
0
0
1
0
0
0
0
3
1
0
1
1
2
2
0
0
3
1
1
3
5
0
1
0
0
0
0
2
2
6
1
2
0
1
2
6
1
0
4
0
4
0
1
2
2
2
5
1
0
2
0
0
3
1
1
0
0
0
3
1
1
1
7
0
1
0
0
0
5
0
2
1
0
1
4
2
2
0
1
1
3
0
2
0
1
0
0
0
2
1
1
1
2
3
1
7
0
1
1
2
0
1
5
0
0
0
0
2
0
1
2
1
1
2
6
1
0
3
3
2
2
2
1
2
1
1
1
1
1
1
5
1
0
0
1
1
0
0
1
3
0
4
1
1
0
1
1
3
0
0
2
0
0
2
0
1
0
1
2
0
0
0
1
1
0
0
2
3
3
2
5
0
2
1
0
0
2
0
1
0
3
0
2
3
2
1
7
0
2
1
2
0
1
0
0
1
1
1
1
1
0
0
0
1
2
1
1
1
0
2
2
0
0
1
1
2
0
2
2
0
0
2
0
1
1
2
2
0
1
1
3
2
2
2
1
1
0
1
1
9
1
0
1
0
0
1
2
0
0
0
0
0
0
0
1
1
1
2
1
0
0
10
1
2
0
0
3
1
1
0
0
0
0
0
0
0
0
1
1
1
0
1
1
0
0
0
1
4
0
2
4
0
1
0
1
1
0
3
1
1
1
3
1
3
1
0
4
0
1
2
0
1
1
0
2
0
0
1
0
1
1
2
2
1
0
1
1
4
0
1
4
3
3
1
0
0
2
1
1
0
3
0
0
2
9
2
1
0
0
4
0
5
1
0
6
0
1
1
1
0
4
0
1
2
2
0
2
1
0
0
2
2
2
0
2
0
0
0
2
1
0
1
1
0
1
0
0
0
0
0
2
1
0
0
2
1
1
4
1
0
1
2
0
2
1
1
4
1
1
1
0
1
1
1
0
1
0
2
0
1
2
1
0
0
0
2
2
4
1
1
1
4
2
1
0
0
0
2
0
3
1
1
0
5
0
1
3
2
3
0
0
0
0
8
0
4
2
0
1
1
0
1
1
0
1
0
5
2
1
9
2
0
1
0
0
3
0
1
0
1
1
1
1
0
0
1
0
1
1
0
0
3
0
2
1
0
1
5
1
1
0
3
1
1
2
0
2
4
5
0
1
2
0
1
1
1
1
2
1
2
1
1
1
2
0
0
2
6
0
0
2
1
0
1
3
2
1
1
0
0
0
2
0
0
1
0
0
0
4
0
0
1
1
1
0
0
0
2
1
1
2
4
1
1
0
1
1
0
2
3
0
3
2
1
1
3
1
0
1
0
2
1
1
0
1
0
0
0
1
1
1
1
1
0
0
0
0
1
6
1
0
11
1
2
4
0
0
0
2
1
1
1
0
1
0
1
1
1
1
10
1
0
0
2
2
0
0
2
0
0
0
1
0
0
0
1
1
0
1
0
1
1
0
0
1
0
1
2
7
1
3
3
1
1
1
1
0
3
2
2
0
0
1
0
2
1
1
0
1
0
1
1
1
1
1
1
5
1
1
3
0
2
1
1
7
1
1
1
0
1
0
3
2
2
0
1
0
0
1
2
7
3
0
1
0
0
1
1
1
1
0
1
2
0
1
5
3
0
2
1
1
5
0
0
0
0
0
2
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
3
1
0
1
1
1
2
0
0
0
0
0
0
2
1
2
0
0
0
3
1
3
0
15
0
3
4
2
2
2
1
3
0
0
0
1
0
4
0
1
2
2
1
3
1
2
0
2
2
0
0
3
3
0
1
2
2
1
1
4
3
1
1
1
1
1
1
0
0
0
1
0
0
1
2
2
1
1
2
0
2
4
1
4
0
0
2
2
0
0
0
2
0
0
1
1
5
7
3
1
1
1
0
2
0
0
1
1
1
0
6
2
3
1
2
0
8
0
3
0
1
0
0
1
0
1
2
1
1
1
1
5
2
1
0
0
2
1
0
2
0
3
3
3
0
2
2
0
1
2
4
1
1
6
1
1
1
0
2
2
5
0
13
4
0
0
1
1
1
0
1
4
0
1
0
1
2
0
16
1
1
2
0
1
1
1
2
4
0
0
1
0
0
0
2
0
1
1
1
0
4
1
3
0
1
0
1
1
1
2
0
1
1
0
2
3
2
0
3
0
0
4
1
0
2
1
1
1
0
2
1
3
0
6
0
0
1
1
0
1
0
0
1
1
1
0
0
0
1
1
0
1
2
0
1
1
1
2
2
1
0
0
0
1
2
0
0
1
1
2
0
0
0
0
1
0
1
1
0
2
1
0
2
1
0
0
1
0
8
0
1
0
0
5
4
1
0
5
1
0
3
0
0
1
0
1
0
0
0
0
8
0
0
0
1
1
0
1
1
1
0
0
0
4
0
2
0
0
1
1
0
2
3
0
0
0
0
1
1
0
0
0
0
3
2
3
1
10
2
1
0
3
0
2
1
2
0
0
0
8
0
0
0
2
0
2
0
5
0
0
3
1
1
0
2
0
0
6
1
1
0
2
0
1
0
0
1
1
7
0
1
1
0
1
0
0
0
0
1
0
0
0
1
0
1
1
2
2
1
2
0
3
7
0
1
1
1
1
2
1
0
0
0
1
1
0
1
2
1
2
1
0
0
0
3
4
1
1
1
0
4
1
2
0
0
12
0
0
1
1
0
1
2
2
0
0
1
0
3
1
2
1
3
0
0
0
0
1
2
0
1
0
0
1
1
0
3
2
0
0
0
0
1
1
0
1
1
1
2
1
4
0
0
1
1
0
0
0
0
1
1
1
0
2
1
0
1
1
0
0
1
0
1
1
4
0
2
1
0
2
1
1
0
0
0
0
1
2
0
1
1
6
5
1
0
2
0
1
0
0
15
0
1
0
0
0
0
1
1
1
0
2
4
0
1
0
0
1
1
0
0
1
1
0
1
0
0
2
0
1
0
2
3
2
0
1
1
1
1
9
3
1
0
1
0
1
5
0
2
1
3
0
5
1
3
4
0
1
2
0
3
1
1
0
0
1
0
2
1
1
0
1
0
1
3
1
1
0
4
1
1
0
1
0
1
1
0
0
3
0
1
3
1
1
1
0
1
0
1
0
0
0
1
0
0
0
0
1
1
1
1
1
1
1
2
0
0
0
2
2
0
0
0
1
0
0
0
0
1
7
6
0
1
2
1
0
2
9
1
1
0
1
3
2
2
2
0
1
1
1
1
0
1
1
0
2
0
3
2
0
1
1
0
1
3
2
2
1
0
0
0
0
0
1
0
1
1
1
2
0
0
1
1
1
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
0
2
0
0
2
1
0
0
1
1
1
0
0
0
2
0
1
0
1
2
0
0
1
1
0
0
1
0
1
0
1
2
1
3
0
2
2
0
0
0
0
1
0
1
1
0
0
0
0
2
0
1
0
0
2
0
1
1
1
1
1
2
2
0
1
0
1
2
0
1
0
2
0
0
0
2
1
0
2
0
10
5
0
1
1
1
1
2
5
1
3
1
0
1
1
1
1
1
0
0
2
2
1
1
0
1
0
0
2
2
2
1
0
1
0
1
1
1
2
3
0
2
0
8
1
2
0
1
1
1
0
0
1
5
1
0
2
0
0
1
1
1
0
0
1
0
1
2
0
1
0
0
0
1
1
1
0
9
2
1
3
0
0
0
0
2
1
2
0
0
2
1
1
0
2
0
1
1
2
1
1
1
4
1
10
1
0
0
0
0
3
0
1
2
1
1
1
0
0
1
2
1
2
2
0
0
1
1
2
3
1
0
1
3
2
0
2
2
2
2
2
0
0
1
0
0
5
2
0
0
1
0
2
0
0
1
1
0
1
8
0
2
1
1
2
3
1
2
0
1
1
1
6
0
1
1
2
2
3
3
0
0
0
0
0
4
4
1
1
0
0
0
2
0
0
1
1
0
0
0
0
1
1
2
3
1
1
2
1
0
0
2
0
1
0
1
1
1
0
2
0
1
0
0
0
1
2
2
1
0
2
1
1
2
1
0
1
1
0
0
2
0
1
0
2
1
0
2
1
0
0
2
0
1
1
0
1
1
0
0
0
1
0
0
0
1
0
8
0
1
0
1
1
2
0
4
3
1
1
2
1
0
1
1
1
0
1
1
1
1
1
7
1
1
0
0
1
0
0
2
1
4
2
1
2
1
7
2
4
1
0
1
0
0
2
2
1
1
0
0
0
4
2
1
2
0
6
1
1
0
2
0
2
1
2
9
1
0
3
2
1
0
1
7
1
2
2
1
5
2
2
0
0
1
0
1
0
0
0
0
0
0
2
1
1
3
1
4
1
0
1
1
1
0
2
1
0
1
3
2
1
2
1
1
0
0
2
0
0
1
2
0
1
0
0
0
0
0
0
0
5
0
1
1
0
2
2
1
1
3
0
1
0
1
0
2
0
2
0
1
0
0
9
0
0
0
1
3
0
4
4
0
0
2
0
1
2
0
0
0
0
2
0
2
1
8
4
1
1
0
0
1
0
2
0
0
1
1
2
1
10
0
1
0
2
0
1
2
0
0
0
1
2
0
3
0
1
0
1
1
5
2
2
0
2
0
0
0
0
0
2
2
1
0
1
2
2
0
0
2
0
0
1
0
3
0
1
1
1
2
1
0
0
1
1
1
0
4
0
1
1
0
2
1
2
2
4
0
1
3
2
3
4
0
1
1
0
1
0
0
1
2
1
0
3
2
1
1
3
1
0
1
0
0
1
0
0
5
1
2
0
0
0
3
1
2
3
1
0
0
1
1
0
1
0
1
0
0
3
0
0
0
1
1
0
3
0
1
0
1
1
0
0
1
2
1
1
1
7
0
0
2
1
13
0
0
0
0
1
2
1
0
1
0
0
0
1
0
3
2
0
0
1
1
0
9
1
0
0
0
0
0
0
0
1
0
0
5
2
2
3
1
1
0
2
2
3
1
1
2
0
1
0
0
0
0
2
2
2
0
1
0
0
3
0
1
0
1
1
3
2
3
2
1
5
0
0
0
1
2
1
1
1
1
0
1
0
1
0
1
0
1
1
1
0
0
0
0
2
1
1
1
0
22
1
0
0
0
1
0
0
1
0
1
1
0
0
2
0
0
2
7
1
0
1
4
0
0
1
0
1
1
1
1
0
0
1
0
0
0
4
2
1
1
0
1
1
0
3
1
1
0
1
1
2
2
0
2
1
0
0
0
1
1
0
3
16
0
4
1
0
1
1
0
3
0
0
0
0
1
3
1
0
0
1
0
0
1
0
0
2
0
1
1
0
1
0
1
0
1
0
1
1
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
2
0
0
3
0
0
1
2
0
2
1
3
2
0
0
1
0
0
4
1
0
0
2
0
0
1
3
0
0
1
1
3
2
1
2
0
0
1
0
0
0
0
2
2
1
0
2
0
0
0
0
4
0
0
1
2
0
1
4
0
5
0
0
0
1
1
4
0
0
10
1
1
2
1
1
0
2
1
0
1
2
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
2
1
0
1
0
1
7
1
3
0
1
1
0
1
1
2
0
2
0
0
1
1
0
0
1
4
0
1
2
0
1
1
1
2
0
3
2
3
1
1
0
4
0
2
0
1
1
1
0
1
3
0
1
1
1
1
1
0
1
1
1
2
1
1
1
2
1
2
1
2
0
0
0
1
0
0
0
1
1
1
0
2
1
1
2
1
0
2
0
0
1
1
1
1
3
0
0
4
3
0
0
0
8
1
1
1
3
0
0
0
3
0
9
2
3
0
1
2
0
3
2
1
0
1
0
0
1
0
2
6
0
2
1
2
2
1
0
0
0
0
1
2
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
0
0
1
0
1
0
1
2
0
8
0
2
3
1
1
0
0
1
1
2
3
1
1
2
1
0
1
2
2
0
4
1
1
1
1
1
2
1
1
0
1
0
0
0
3
1
1
1
0
1
0
1
1
1
3
2
0
0
4
0
1
0
3
2
0
4
4
0
3
0
0
0
0
0
1
2
0
0
1
0
0
1
0
2
0
0
3
2
0
0
0
2
0
1
2
0
0
1
0
0
0
0
2
1
0
0
6
3
1
1
1
0
0
1
3
0
0
0
0
2
0
1
0
1
0
2
2
1
0
2
2
0
0
1
0
1
1
1
1
0
0
0
3
1
1
2
3
1
1
1
1
0
0
1
0
2
1
0
0
0
1
5
0
1
0
1
0
0
1
2
0
1
1
1
7
0
1
5
1
2
1
0
0
9
1
1
0
0
0
0
2
0
2
0
1
2
0
0
0
0
1
1
1
1
0
0
0
0
8
0
0
0
2
1
1
1
0
0
0
0
0
1
0
1
3
0
0
0
1
0
1
1
1
1
1
0
0
2
1
0
6
1
0
1
2
1
0
1
0
0
2
0
1
1
1
0
1
0
1
0
1
0
1
1
0
0
0
0
5
4
0
1
1
2
1
3
5
1
0
1
1
0
0
2
1
1
1
0
0
0
1
2
0
0
1
1
0
0
3
2
1
3
0
2
0
1
1
0
2
0
0
0
2
2
1
0
3
0
3
0
1
2
1
0
0
5
0
0
0
1
2
0
3
1
0
0
1
3
0
3
1
2
0
1
0
0
1
0
1
0
1
1
1
0
1
0
2
0
0
0
0
1
0
0
0
0
0
1
0
2
0
0
1
1
0
1
6
2
0
1
2
2
0
0
1
1
3
0
0
2
1
1
1
0
2
8
1
2
1
0
2
0
0
0
2
0
0
1
0
0
1
1
2
1
0
1
5
2
0
2
4
1
0
1
0
0
4
1
3
2
3
0
1
1
0
0
1
1
1
1
0
1
0
1
0
1
0
1
2
0
1
1
0
0
0
1
1
0
0
0
0
1
2
1
1
0
0
1
1
3
0
1
2
1
0
0
1
0
0
1
2
0
0
0
0
1
0
3
0
1
2
0
2
0
0
0
5
0
0
1
0
0
3
5
0
2
5
0
0
1
1
3
4
0
3
0
1
3
1
2
2
0
0
0
0
1
0
1
1
1
2
0
2
5
1
0
1
0
0
1
2
1
4
2
0
0
2
0
0
0
1
0
1
0
1
3
1
0
0
0
0
2
1
3
0
2
1
0
2
2
1
2
1
0
1
1
2
2
4
0
4
0
1
4
2
0
1
0
7
1
1
1
0
1
1
0
0
1
0
2
0
0
0
0
0
0
2
2
1
2
1
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
2
0
3
1
2
0
1
2
0
0
0
1
1
0
2
2
2
1
0
0
1
0
0
0
0
2
3
0
2
0
1
1
0
1
0
0
1
0
3
1
1
2
0
1
1
1
1
1
0
0
0
1
1
0
1
0
1
0
0
2
0
0
1
2
1
2
0
0
0
0
0
3
1
0
1
1
0
0
4
1
1
6
1
1
0
0
1
1
6
0
0
1
1
1
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
1
0
2
2
0
1
1
1
1
1
0
2
0
2
1
0
1
1
0
1
0
0
2
2
4
1
0
0
1
0
0
1
0
1
1
0
2
1
1
0
1
2
0
0
0
1
1
0
2
1
0
0
0
1
0
1
1
6
2
1
0
1
1
1
0
2
0
0
2
2
1
1
1
0
0
1
2
2
1
0
1
1
0
1
0
2
0
1
1
0
1
0
0
2
0
5
1
0
0
0
1
0
1
3
0
0
0
0
3
1
1
1
1
0
2
0
2
0
1
0
1
0
0
2
6
0
1
1
0
0
0
2
0
0
3
2
0
3
2
1
1
2
0
1
2
2
0
0
1
1
2
0
0
1
0
1
1
0
0
0
0
2
0
2
2
0
2
3
0
2
0
2
3
1
0
0
1
1
0
0
0
1
2
1
1
0
4
2
0
1
1
3
1
1
1
1
0
2
1
2
0
0
12
3
0
3
0
1
0
1
0
0
3
0
1
0
2
1
2
0
0
0
3
0
0
2
1
1
1
2
10
0
0
2
2
0
2
0
1
0
1
1
0
2
1
1
2
1
0
2
1
2
1
1
1
10
0
0
1
1
2
1
1
3
2
0
1
1
0
0
1
1
1
1
1
2
1
0
0
0
0
1
1
1
2
0
0
0
2
1
1
0
0
2
0
0
1
1
0
1
0
0
1
2
1
0
0
1
1
1
1
0
0
1
1
4
0
2
1
1
1
1
0
0
3
7
3
1
1
0
0
0
2
1
1
0
2
0
0
5
2
6
0
0
1
1
2
1
0
1
0
1
0
1
0
1
0
2
9
1
2
1
0
0
0
1
2
2
2
0
0
0
0
0
1
0
0
2
0
10
1
1
1
0
1
3
1
0
2
0
3
3
0
6
1
0
2
2
2
1
7
0
0
1
0
0
0
0
0
0
0
2
1
1
0
0
0
1
2
0
1
0
0
0
0
3
1
1
1
0
0
0
2
1
0
0
0
2
2
0
0
0
0
1
0
0
1
0
2
1
3
1
0
0
1
1
0
0
1
0
0
4
2
0
2
1
2
0
4
0
0
1
1
2
0
1
2
0
5
0
0
1
0
2
4
1
1
1
2
0
0
0
0
1
2
0
0
1
2
1
0
0
1
0
1
6
0
0
8
0
0
0
1
0
0
2
0
5
0
0
1
1
0
0
3
1
1
2
1
9
1
1
0
0
2
2
0
2
0
2
0
0
1
5
2
0
1
0
0
1
2
2
0
0
0
0
1
1
1
2
0
1
0
1
1
0
0
0
4
0
1
3
3
14
0
0
1
2
0
0
1
1
2
0
1
0
0
0
0
0
1
2
2
1
1
2
0
1
0
0
1
2
0
2
0
1
1
1
2
1
4
0
1
1
0
1
0
1
0
0
0
0
2
6
2
1
0
0
0
2
1
0
1
0
11
0
0
2
1
3
1
1
1
2
1
1
0
2
0
1
1
1
0
1
0
4
3
1
1
3
0
0
0
0
0
0
1
1
0
1
2
1
0
0
4
1
1
2
0
2
2
0
0
0
1
0
1
1
0
1
0
1
2
0
0
0
1
2
0
1
0
3
1
1
0
0
0
1
1
0
0
1
2
8
2
0
1
0
1
0
3
0
2
1
0
4
1
2
1
1
1
1
0
1
1
1
0
0
1
1
0
1
1
1
0
0
0
0
0
0
2
0
1
1
5
1
3
2
1
0
2
0
0
2
0
1
1
4
0
0
0
0
4
0
0
1
0
2
2
0
0
1
3
1
5
1
1
0
0
0
1
1
0
0
1
1
1
0
1
0
3
0
1
0
2
0
0
1
2
0
1
1
0
0
5
0
0
1
7
1
1
0
1
0
2
0
2
0
1
1
1
9
0
0
1
0
1
0
3
1
2
2
2
0
0
2
1
1
0
2
5
0
1
0
0
3
0
1
0
3
3
0
0
0
1
1
1
7
0
2
1
0
0
1
0
2
0
0
2
0
0
1
0
1
0
2
1
2
1
1
1
6
2
1
0
0
1
0
0
0
0
0
0
2
0
0
2
0
0
1
4
4
1
2
0
1
1
1
0
0
0
1
0
1
2
0
1
1
2
0
1
0
1
0
5
1
6
0
1
0
1
0
1
2
0
2
1
2
0
1
0
1
0
0
0
1
3
1
1
3
0
0
0
3
0
1
1
1
0
1
1
3
1
0
0
1
1
0
0
1
0
0
1
6
1
0
0
1
1
2
1
1
0
0
2
0
1
0
0
1
8
2
1
1
0
0
1
1
0
3
10
2
0
1
0
2
1
1
1
1
0
0
1
1
2
0
1
1
2
0
0
0
2
1
1
0
0
0
0
1
0
0
1
0
0
2
0
1
1
0
1
2
1
0
0
0
1
0
0
2
0
1
1
0
2
0
1
0
0
0
0
2
1
1
1
1
0
1
1
0
5
1
1
0
1
1
3
1
0
0
8
1
0
1
0
1
1
3
1
1
1
0
0
1
0
4
1
1
2
1
0
0
0
0
0
5
1
6
0
2
0
0
0
0
0
0
1
0
1
4
0
0
4
0
0
0
3
0
1
1
2
2
1
2
1
0
0
1
1
2
1
2
0
0
1
0
0
0
3
1
0
3
2
0
0
0
0
5
1
1
1
1
0
2
1
3
1
1
2
1
0
14
3
1
1
1
1
1
1
2
1
0
1
0
1
1
3
1
0
0
1
0
2
0
0
2
1
0
0
2
1
0
2
1
0
3
0
0
1
0
1
1
0
9
2
0
0
0
0
2
2
1
0
0
0
0
1
1
5
0
1
0
0
1
0
1
2
0
3
1
2
0
6
1
0
3
1
3
1
4
0
0
0
0
0
1
1
0
1
0
1
2
0
2
0
2
2
2
6
3
0
2
2
2
1
0
5
8
0
1
0
2
0
3
1
1
5
1
0
0
0
2
1
3
2
0
1
0
2
1
1
1
0
1
10
1
1
1
0
1
0
0
0
1
1
0
1
1
0
0
3
0
0
0
0
0
1
0
0
2
0
0
1
0
1
0
0
0
1
0
1
1
0
0
0
3
0
0
1
0
0
1
0
0
1
1
1
0
0
0
0
6
0
1
1
1
2
0
1
0
1
0
0
1
0
0
1
1
1
1
0
2
0
0
1
0
4
2
1
0
0
2
2
0
0
0
1
0
1
1
0
0
0
0
3
1
0
0
1
1
0
1
2
0
0
1
2
1
0
0
1
2
1
3
0
1
0
1
1
0
0
2
0
0
3
2
0
0
1
0
0
0
0
2
1
1
0
0
0
1
0
1
0
0
3
1
4
0
2
1
2
0
2
1
1
1
1
0
1
1
0
0
1
0
1
0
1
1
1
1
0
0
1
0
0
0
0
9
0
0
0
0
0
7
1
0
0
0
0
2
1
0
0
1
0
1
0
0
1
1
1
2
0
0
2
0
0
0
1
0
1
0
0
2
1
1
2
0
1
0
0
1
0
1
0
1
0
0
5
1
5
1
6
1
1
3
1
1
3
2
1
1
0
3
0
0
0
0
2
0
0
0
0
0
1
2
1
0
0
0
0
1
0
0
1
1
0
0
2
0
0
1
0
1
0
0
1
0
1
0
0
2
0
1
2
2
1
1
0
2
1
0
2
1
1
3
2
0
2
0
1
1
0
7
1
3
3
2
0
0
1
2
1
0
1
0
1
0
1
2
1
0
0
2
0
0
1
2
0
4
2
1
1
4
0
0
0
0
1
0
2
1
0
0
3
0
1
0
5
0
0
1
2
0
1
2
0
0
1
1
0
2
0
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
2
0
2
0
0
0
0
0
0
1
1
2
1
2
1
0
1
1
0
7
0
2
0
1
0
3
0
0
1
1
9
1
0
3
1
0
0
2
1
1
1
1
1
0
0
0
0
1
0
2
0
0
0
0
0
1
1
0
0
0
1
3
1
0
1
0
1
0
1
1
0
1
1
0
3
2
1
1
0
0
0
5
0
1
0
0
1
1
0
1
1
0
1
0
0
0
2
0
0
1
1
0
0
2
0
1
2
1
0
3
0
0
0
1
0
3
0
0
0
2
0
5
0
0
2
0
0
2
1
1
1
0
0
1
2
0
2
1
0
1
0
4
1
0
0
0
0
2
2
1
2
2
0
0
3
1
0
1
2
1
0
0
6
1
0
0
0
1
1
2
0
0
10
0
1
0
1
2
0
0
3
2
0
1
1
3
3
4
1
2
0
2
1
0
1
0
0
2
2
2
2
0
0
1
3
0
1
0
0
0
0
0
0
0
0
0
1
1
2
2
3
0
0
1
1
0
0
4
0
2
1
0
0
1
1
0
0
2
0
0
1
0
0
0
0
1
2
1
0
0
0
1
2
2
0
5
0
0
2
0
6
7
1
0
0
1
0
0
1
0
1
2
0
1
2
0
1
0
1
0
1
1
2
0
3
0
0
0
0
3
2
0
0
1
1
1
2
0
0
0
0
0
1
1
9
2
1
0
3
1
1
0
1
0
0
0
1
1
1
1
2
0
1
0
1
0
9
0
0
0
2
0
0
1
1
0
0
2
0
0
0
2
0
11
2
0
4
0
0
2
0
1
0
1
2
1
2
0
1
0
1
1
1
1
0
1
1
1
2
1
2
3
0
1
1
1
1
0
1
0
0
0
0
2
0
0
2
1
0
0
0
2
1
0
0
1
2
0
3
0
1
1
0
2
0
0
1
1
0
1
0
1
1
0
1
0
0
0
0
3
1
4
1
6
1
0
0
0
1
1
0
0
2
0
0
1
0
0
0
0
2
3
0
0
2
1
3
1
0
1
0
1
1
1
0
0
1
5
0
2
0
1
0
3
2
0
1
0
0
3
0
0
1
2
0
2
0
1
7
1
1
1
0
1
1
0
0
1
0
0
0
1
0
2
0
0
2
0
0
3
1
0
2
0
1
0
0
1
3
5
1
0
0
1
0
1
1
0
1
0
1
0
2
4
0
0
0
2
1
0
1
1
0
0
1
5
6
1
0
0
0
1
5
0
0
0
0
0
1
0
0
1
0
1
0
2
2
1
4
5
0
0
1
1
1
3
2
1
2
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
1
0
3
0
0
0
0
0
1
1
1
3
0
3
0
1
0
0
1
0
1
1
0
1
2
1
0
2
0
1
0
0
1
0
1
0
0
2
1
2
0
0
1
1
2
1
0
2
0
1
1
2
0
2
0
1
4
2
0
2
0
0
2
0
0
2
0
0
0
2
1
1
0
0
1
0
1
0
1
1
1
1
1
2
0
0
0
0
1
1
0
0
0
0
0
1
0
3
0
1
0
3
0
3
0
1
0
1
0
1
1
2
1
1
1
0
1
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
2
2
1
0
1
0
1
1
0
1
0
0
0
5
0
0
1
0
1
0
1
1
5
1
0
0
1
0
1
1
2
1
2
1
9
0
1
0
0
0
0
7
2
4
1
1
1
1
0
0
0
0
0
2
0
0
0
1
0
1
2
0
4
1
2
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
2
1
1
0
0
0
0
0
3
0
1
1
1
1
0
1
2
0
1
0
1
0
0
1
1
0
1
0
0
1
1
2
0
3
0
0
3
0
0
0
0
0
1
0
0
2
0
5
0
1
0
0
2
0
0
1
2
0
1
1
0
1
2
0
1
1
2
1
1
1
0
0
0
1
0
1
1
1
0
0
1
1
1
2
0
0
0
2
0
0
0
1
2
0
6
1
0
2
0
0
1
0
3
0
0
0
2
0
2
1
1
0
1
0
2
0
1
3
2
0
1
0
0
0
1
1
0
1
1
2
1
0
0
0
2
1
0
2
1
1
0
0
4
1
0
0
4
0
1
0
0
0
0
2
0
7
1
0
0
0
0
1
2
0
0
3
2
1
1
0
0
0
0
0
0
2
0
0
3
0
0
0
1
1
0
1
2
1
0
0
1
1
0
1
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
1
2
0
0
0
1
0
3
2
2
4
1
1
0
0
1
2
1
0
0
0
0
0
0
17
4
3
1
0
1
0
5
0
2
0
0
3
1
0
0
0
1
0
1
0
4
2
1
1
0
0
2
1
0
2
1
2
0
0
0
0
0
3
2
0
0
0
0
0
1
1
0
0
0
3
0
3
2
0
1
2
1
1
0
1
0
2
1
2
1
1
1
2
0
1
1
5
0
1
1
0
2
1
0
2
6
1
0
11
1
1
0
2
1
0
2
1
0
0
0
1
2
0
0
0
0
0
1
1
1
0
1
1
3
1
1
1
0
0
0
0
1
0
0
0
2
1
0
1
0
0
0
1
0
1
0
1
0
0
2
1
0
0
0
0
0
2
0
2
0
2
0
1
0
0
0
0
1
1
2
1
0
1
1
0
2
1
3
0
1
1
1
2
0
0
3
1
0
0
2
4
1
0
0
0
1
3
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
2
1
0
0
1
0
0
0
0
0
9
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
1
0
0
2
0
0
0
3
0
1
0
1
0
1
0
0
1
1
14
0
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
0
0
1
0
0
2
0
1
0
0
1
0
0
0
0
0
0
0
1
0
1
2
0
1
0
3
0
0
1
0
0
2
0
1
2
3
0
1
1
0
3
0
3
0
0
0
0
0
0
1
2
0
0
0
0
0
1
1
1
0
0
0
2
0
1
0
1
1
0
0
0
3
0
1
0
0
0
2
1
3
0
3
0
0
1
0
1
0
1
0
0
0
0
3
0
0
0
1
4
0
0
2
0
1
1
1
13
0
0
0
0
0
1
1
1
1
2
0
1
0
10
0
1
0
0
0
0
1
1
1
0
0
1
1
0
0
0
2
3
0
1
1
1
1
0
0
1
1
0
0
0
2
1
0
0
0
0
1
0
0
1
0
0
9
0
1
0
1
0
1
0
3
0
0
1
0
1
0
1
0
0
2
0
0
1
1
1
1
1
1
0
0
1
1
3
9
2
0
0
0
2
0
0
1
0
3
0
1
1
2
2
0
1
0
1
3
2
0
1
0
0
1
1
0
1
0
1
1
1
1
0
0
2
0
1
1
2
0
2
1
0
0
1
0
1
0
0
1
0
7
1
1
1
0
1
0
1
0
2
5
1
3
0
1
10
0
2
0
0
0
1
0
0
0
0
0
0
2
0
0
1
1
1
0
0
2
0
0
2
3
2
2
0
1
0
0
0
2
0
0
7
0
0
0
0
1
1
0
1
0
2
1
0
0
1
1
1
1
9
0
0
0
0
0
0
0
1
1
0
0
1
1
1
0
0
0
0
1
0
1
0
0
1
1
0
2
1
0
1
3
1
1
1
1
0
1
0
1
0
1
0
0
2
2
0
2
0
0
0
1
1
0
0
0
0
0
0
2
1
0
0
0
1
1
1
0
0
0
2
1
0
1
0
0
0
0
7
1
2
0
2
0
1
1
1
0
0
1
0
1
1
0
0
2
3
1
0
1
0
3
1
1
0
0
0
1
0
0
0
0
1
0
4
0
0
1
0
0
1
9
3
0
0
0
1
1
1
0
0
1
1
2
1
0
0
1
0
0
1
0
0
0
0
1
1
0
1
0
0
2
0
2
2
0
5
0
1
1
1
0
2
0
0
0
2
0
0
0
0
0
1
0
0
1
0
0
2
0
0
1
0
0
1
0
0
0
2
1
0
0
0
1
0
2
1
0
1
1
0
0
0
1
0
1
2
1
1
2
1
0
0
0
0
0
0
1
4
0
0
1
1
0
0
0
1
0
1
0
1
1
0
0
1
0
1
0
0
0
0
0
1
0
2
0
0
1
1
0
1
1
0
1
1
0
3
0
0
0
0
0
1
0
1
0
0
1
0
1
0
2
0
0
0
0
2
1
1
1
2
0
0
0
0
0
0
1
0
3
1
1
0
1
0
0
0
1
0
2
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
1
1
0
1
1
0
1
0
0
1
4
1
0
7
1
1
1
0
2
1
1
1
1
1
3
0
0
0
0
0
0
1
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
2
1
1
5
2
1
1
1
3
2
7
2
0
1
2
0
0
2
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
1
5
1
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
2
0
0
1
2
0
0
0
2
2
1
2
0
0
1
0
0
0
0
0
0
1
1
0
1
0
2
1
0
0
1
0
0
1
7
1
0
2
0
0
2
1
1
0
1
1
1
1
0
8
2
1
1
0
1
1
1
2
1
0
0
0
1
0
3
0
1
2
0
4
0
0
0
0
5
0
0
0
2
0
0
0
1
0
0
0
0
2
2
1
2
1
0
1
0
0
1
0
1
0
0
0
1
0
2
1
1
0
0
0
0
2
0
0
0
0
1
1
1
0
0
0
0
1
0
0
2
1
1
0
1
0
1
0
1
3
0
0
0
0
2
0
0
1
2
1
1
1
1
3
0
0
1
0
0
1
0
0
0
1
0
0
6
10
0
3
1
1
0
1
1
0
2
0
1
0
0
0
0
1
1
3
1
1
1
0
0
0
0
2
0
2
0
2
0
1
0
1
0
1
1
1
0
0
3
0
0
1
0
1
3
0
0
0
2
0
1
0
0
1
0
0
1
0
2
1
0
0
0
1
0
0
1
0
1
2
0
0
3
0
0
0
1
1
0
1
0
2
0
0
2
0
1
2
0
0
0
0
0
2
1
3
1
1
3
0
0
1
0
1
0
0
0
1
0
0
4
0
1
1
3
0
0
1
0
0
3
0
0
4
5
0
1
0
1
1
1
0
0
1
1
0
2
0
0
0
0
5
1
2
0
0
0
2
0
0
2
0
0
1
0
1
2
0
0
0
2
1
1
0
1
0
0
0
1
1
2
1
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
2
0
0
0
1
2
0
0
2
0
0
0
1
0
1
0
1
0
1
0
0
2
1
0
0
3
0
2
1
1
0
0
0
0
3
0
3
0
0
5
0
0
0
0
0
1
0
0
0
1
0
1
0
0
1
3
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
2
1
0
1
0
1
2
2
2
0
0
1
1
0
0
0
1
0
0
2
0
1
1
0
1
1
2
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
1
1
0
1
2
1
0
0
0
1
0
1
7
0
3
0
0
1
4
1
0
2
1
0
0
0
0
0
0
1
0
0
1
0
1
2
0
0
0
1
0
1
0
3
1
0
0
1
1
0
0
3
0
2
0
1
0
1
0
0
1
0
1
1
2
1
0
0
1
0
7
0
2
2
0
1
1
1
0
2
1
0
0
0
0
0
0
1
0
0
0
0
1
2
1
1
0
0
1
0
1
1
1
0
0
0
1
11
1
0
4
1
0
1
4
2
1
0
1
1
1
1
0
0
0
0
2
0
1
1
2
2
0
2
13
0
0
0
0
0
1
0
2
0
1
0
0
1
0
1
0
0
0
0
3
0
0
1
0
2
0
2
1
0
1
1
3
5
0
0
0
0
2
2
8
7
1
5
1
0
0
2
0
1
1
1
0
0
1
0
0
0
0
2
5
1
3
0
1
5
1
2
1
2
0
0
1
2
1
1
0
1
0
0
0
1
0
2
0
1
1
3
1
4
0
0
0
1
0
1
1
0
1
0
0
0
0
2
0
1
1
1
0
8
2
0
1
3
4
0
0
0
1
0
0
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0
0
1
0
1
0
1
8
0
2
0
0
1
0
1
0
0
0
0
1
0
0
1
0
2
2
1
1
0
0
1
1
0
1
1
2
1
2
1
0
0
0
0
1
0
0
0
0
7
1
0
0
0
0
1
0
1
1
1
1
0
0
0
0
2
3
0
0
1
1
1
2
0
0
1
1
0
0
0
0
0
2
9
0
0
0
1
0
0
0
1
0
1
0
0
1
0
1
1
2
1
0
1
0
0
11
0
1
0
0
2
0
0
0
0
0
1
0
1
1
3
0
0
1
0
1
1
1
0
1
1
0
1
1
0
0
0
1
1
0
1
1
0
0
0
1
0
2
0
1
0
0
1
0
1
0
0
1
0
0
2
2
0
1
4
0
0
1
1
1
1
1
0
1
0
1
0
1
1
3
0
1
2
0
0
0
1
0
1
0
2
2
1
1
0
0
0
0
0
0
2
6
1
1
0
0
0
0
2
2
0
0
1
1
1
0
1
0
0
0
2
0
0
0
1
0
0
1
0
0
0
0
3
2
1
1
0
0
0
0
1
1
0
0
0
1
1
1
7
1
0
0
0
0
0
0
0
2
1
1
1
2
0
0
1
0
0
0
0
0
1
1
0
9
0
0
0
0
6
0
2
0
0
0
0
0
0
1
1
0
0
1
1
1
1
0
0
0
0
1
1
1
0
1
0
0
2
1
0
0
0
1
0
0
0
0
1
0
2
0
0
0
6
1
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
1
1
0
0
0
0
2
0
1
0
1
3
0
9
0
1
0
0
0
0
5
2
6
1
0
0
0
0
3
1
3
2
0
3
0
1
2
0
1
0
1
0
0
0
0
1
2
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
8
1
0
1
1
0
0
0
1
0
0
0
0
2
0
0
0
2
6
0
1
0
0
1
1
1
1
1
0
1
0
0
1
0
3
0
1
2
1
1
2
1
1
0
1
0
0
0
2
0
3
1
1
0
1
3
0
2
0
3
2
2
0
0
0
0
0
0
1
2
0
1
2
1
1
2
0
0
0
1
0
1
0
2
1
0
1
1
1
0
0
0
0
0
1
0
0
1
0
0
2
2
12
0
0
0
1
0
0
1
0
0
0
2
2
0
0
0
1
8
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
5
2
0
0
1
2
1
2
0
0
0
1
0
0
1
1
0
1
0
7
3
0
0
0
0
0
0
0
3
1
0
1
0
0
0
2
1
1
1
2
0
0
1
0
2
3
1
0
1
1
1
1
0
3
8
1
1
1
0
0
1
0
2
2
0
1
0
0
1
0
0
0
1
2
0
0
0
0
0
0
1
0
2
2
1
0
1
2
1
0
1
0
1
1
1
0
2
1
0
2
0
0
2
0
0
0
0
0
1
0
8
1
1
2
0
1
1
2
1
1
1
0
2
0
0
0
1
0
1
1
0
0
1
0
3
1
0
0
0
1
0
1
1
0
0
1
1
0
1
3
2
1
0
0
1
0
0
0
0
0
1
0
1
0
2
2
0
0
1
1
2
0
0
2
3
0
1
0
2
0
2
1
0
1
1
0
0
1
2
0
0
0
7
0
0
0
0
0
1
0
9
2
0
1
0
0
0
1
0
0
2
0
0
0
0
2
0
4
0
0
0
0
0
0
1
1
1
1
1
5
0
2
0
1
1
0
1
0
0
1
1
0
0
0
1
0
1
0
1
0
0
1
0
0
0
1
3
0
0
0
0
0
0
1
1
2
0
7
0
0
1
1
0
9
0
0
0
0
0
2
9
0
0
2
1
1
0
2
1
0
2
0
1
1
0
1
2
0
2
1
0
0
1
1
0
3
0
3
0
0
1
0
1
0
0
1
0
0
1
0
1
1
0
0
0
0
2
0
0
0
0
0
0
0
1
0
1
0
1
1
1
1
0
0
2
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
3
0
0
0
2
1
0
1
3
0
1
0
1
0
1
1
1
1
1
0
0
0
1
0
0
0
3
0
1
1
0
0
0
0
0
1
1
1
1
1
0
2
0
1
1
0
1
0
0
0
0
0
0
1
0
2
1
1
0
0
1
0
0
1
0
0
1
0
1
5
0
0
1
2
1
0
0
2
0
1
2
0
0
1
1
1
0
0
1
1
1
5
0
0
0
4
0
0
0
1
2
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
4
0
0
0
1
0
1
0
1
0
0
0
0
1
1
2
0
0
0
1
0
3
2
1
0
0
1
0
0
0
0
1
1
1
1
2
0
1
0
0
1
2
0
1
0
1
1
0
2
0
0
1
0
1
1
7
0
0
2
0
1
2
1
2
0
1
1
1
1
0
0
0
0
0
3
1
2
1
1
0
0
0
0
0
0
2
0
0
1
1
2
0
0
0
0
0
0
14
0
0
0
1
0
1
0
0
0
0
0
0
0
3
0
2
1
0
0
0
0
1
2
1
5
1
0
0
0
1
1
0
2
3
1
1
2
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
1
1
1
0
2
2
0
0
2
0
0
0
0
0
1
1
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1
0
0
0
3
1
1
0
0
0
0
0
0
1
2
0
1
1
0
0
0
1
0
7
1
1
0
0
0
0
1
0
0
1
0
0
0
1
0
1
2
0
1
1
0
1
1
0
1
0
1
0
0
1
4
2
5
1
0
1
0
0
0
1
0
0
0
0
1
3
1
0
2
13
0
2
0
0
0
0
0
8
0
1
1
0
0
0
1
1
1
0
0
5
0
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
2
0
1
0
0
1
0
1
0
1
1
1
0
0
0
0
1
0
1
0
1
0
1
1
0
2
0
0
0
1
0
1
0
0
2
0
3
0
0
0
2
0
6
0
0
0
1
0
19
2
1
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
1
2
2
0
0
1
0
2
0
0
0
1
0
0
0
2
1
0
1
2
0
2
0
1
0
0
2
0
0
0
3
1
0
1
1
0
0
1
2
2
0
0
0
0
0
0
1
1
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
1
1
1
0
1
0
0
0
3
0
0
0
1
0
0
2
0
1
0
0
0
0
0
6
1
0
0
0
6
1
1
0
0
0
1
0
1
1
1
2
1
1
0
1
0
0
0
1
0
2
1
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
2
1
1
0
1
1
0
0
0
0
0
1
0
1
1
1
0
0
0
0
0
0
1
2
1
2
1
0
0
0
1
0
0
0
1
0
1
0
0
2
0
0
3
1
1
0
0
0
0
1
2
0
1
5
0
1
0
0
1
0
2
0
0
1
1
0
1
0
1
0
0
0
0
0
2
1
0
2
0
1
0
0
1
1
4
1
0
0
0
0
1
0
1
0
1
2
1
1
1
0
1
1
1
0
1
1
0
1
2
1
0
2
0
1
1
0
2
0
1
1
4
1
3
0
1
0
1
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
1
3
0
0
0
1
1
0
0
2
0
0
0
1
1
0
0
1
1
0
9
0
2
2
1
0
0
0
0
0
1
1
0
0
0
1
2
2
0
3
0
0
1
1
0
2
0
0
3
1
0
1
0
0
0
1
3
0
0
0
0
0
1
1
2
0
0
0
1
1
0
1
1
1
3
0
0
2
1
1
0
1
1
1
0
0
0
1
1
1
1
0
1
1
0
0
0
0
1
1
2
0
1
0
1
0
1
0
1
0
1
0
0
1
1
1
2
2
0
0
1
1
0
1
0
1
0
1
1
0
2
1
1
0
1
0
1
1
1
0
1
0
2
0
0
1
0
0
1
0
1
0
1
1
0
0
0
1
0
1
0
0
1
0
0
1
0
1
0
0
0
1
0
2
2
0
0
1
0
0
0
1
1
1
0
0
0
0
1
2
3
0
1
3
6
2
6
0
1
1
0
1
0
2
0
1
0
1
0
1
0
0
0
0
1
1
0
1
1
2
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
1
1
0
3
0
0
0
0
1
0
0
0
2
2
0
0
0
1
1
0
0
1
0
0
0
2
0
0
0
2
1
0
3
0
1
3
1
0
0
0
0
0
0
0
0
4
0
0
0
0
1
0
0
3
3
1
1
0
0
1
1
3
0
1
2
0
0
0
0
2
0
1
0
2
0
0
0
0
2
0
0
1
0
0
1
1
1
2
0
2
0
0
0
1
2
0
1
0
4
0
1
1
2
0
1
1
0
0
0
1
0
0
12
0
3
1
2
0
0
0
0
0
1
3
1
2
0
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
1
0
0
3
0
0
0
1
3
5
0
1
0
0
0
0
0
0
0
3
1
0
1
0
0
0
0
2
0
0
0
2
1
2
0
0
1
0
1
0
1
0
1
2
0
1
0
0
1
1
0
0
1
1
11
2
0
2
1
8
1
0
0
2
1
0
1
0
1
0
1
1
0
0
6
1
1
0
0
0
1
2
0
1
1
0
1
0
1
0
2
0
1
1
1
1
0
2
0
1
0
1
0
0
0
0
0
1
2
1
6
1
0
1
0
1
0
2
0
1
0
0
0
1
0
0
1
2
0
0
2
1
2
1
1
0
0
1
0
0
0
0
0
1
1
0
4
1
0
0
0
0
2
2
0
0
0
1
1
8
1
0
0
0
1
0
1
0
0
1
0
2
3
0
0
0
1
0
7
0
1
0
1
1
0
1
0
4
0
1
0
2
1
2
0
0
1
1
0
0
2
1
2
0
0
0
2
1
0
0
0
0
0
1
1
1
3
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
2
0
1
1
1
0
2
2
5
0
1
3
0
1
0
1
0
0
1
2
0
0
2
0
0
1
0
0
2
1
2
1
1
0
0
0
1
1
0
1
2
1
1
0
1
1
1
0
2
1
1
0
0
0
2
2
0
1
0
0
0
0
2
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
9
2
2
0
1
1
0
0
0
0
0
0
1
3
0
1
1
0
1
0
1
0
1
1
1
1
1
0
0
1
1
0
0
0
1
1
0
1
0
0
1
0
0
1
0
0
0
2
0
0
2
2
0
2
0
0
0
0
3
0
0
1
0
1
0
2
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
1
2
0
0
0
0
2
1
0
0
1
0
0
0
2
1
6
2
0
9
1
1
1
2
1
0
7
0
0
0
0
0
1
1
0
4
0
0
2
0
0
1
0
0
0
0
0
0
1
1
0
0
2
1
0
0
1
0
3
0
1
2
0
1
1
1
0
1
2
2
0
6
1
0
0
0
0
1
1
0
0
0
1
0
0
1
2
0
0
0
0
2
0
0
4
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
1
1
1
0
1
0
3
0
1
14
1
2
0
2
0
0
1
1
0
0
2
0
1
0
0
2
0
0
2
0
0
0
1
0
1
0
1
5
0
0
0
0
0
1
0
1
1
2
0
1
0
1
0
0
2
1
0
0
0
1
2
0
1
0
0
0
1
1
1
0
2
0
1
1
0
0
0
1
0
1
0
1
0
1
0
1
0
3
8
1
0
1
0
3
1
0
0
1
0
1
0
1
1
0
5
0
2
1
0
2
1
1
0
0
1
1
1
1
0
2
1
0
2
2
0
1
1
0
1
1
0
0
1
1
1
1
0
1
0
0
1
1
0
0
0
1
0
3
1
0
1
0
3
5
2
2
1
0
0
0
2
1
0
1
1
1
1
0
0
1
0
3
1
1
0
2
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
1
0
0
0
0
3
0
0
1
2
0
0
0
0
0
1
0
0
1
0
1
1
0
1
1
0
0
1
0
1
1
1
1
0
0
0
0
0
0
0
1
0
0
2
2
1
2
0
0
2
0
0
0
0
0
0
3
4
1
1
1
0
0
1
0
0
1
0
4
1
0
1
1
0
0
1
0
1
1
0
0
0
0
2
1
0
1
1
1
0
0
0
0
2
0
0
1
1
1
1
0
0
1
1
0
1
0
0
0
1
1
0
0
2
1
0
1
0
1
0
2
0
0
1
0
0
1
1
0
1
1
0
0
6
3
0
2
1
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
1
2
1
2
1
1
0
1
0
3
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
2
0
1
1
0
1
1
1
1
2
0
0
0
0
0
1
0
1
1
0
1
2
1
0
0
0
1
0
2
0
0
0
0
1
0
0
1
0
0
0
0
2
0
0
2
0
0
0
0
1
0
0
0
0
1
0
1
0
2
0
0
0
0
0
0
2
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
2
1
0
1
0
0
0
1
2
0
2
2
0
1
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
1
0
3
0
3
2
0
0
0
0
0
1
0
1
1
1
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
1
1
0
0
0
1
0
0
1
1
0
0
1
0
0
0
3
0
5
0
1
0
1
2
0
1
0
0
0
1
1
1
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
1
0
1
2
1
0
0
1
1
1
0
2
0
0
0
0
0
0
2
0
0
1
0
1
0
2
0
0
0
2
0
0
0
1
1
2
1
0
0
7
23
0
0
0
0
1
1
0
0
1
0
3
0
0
0
0
1
0
0
1
2
2
1
0
1
2
0
0
0
1
0
0
0
0
1
1
1
0
1
0
1
2
0
0
0
1
1
0
0
1
1
0
0
0
1
0
1
1
0
1
1
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
1
1
2
0
0
0
1
0
1
1
1
2
0
2
1
0
1
1
1
1
1
0
0
0
2
1
0
2
0
0
1
2
1
0
0
0
0
0
1
0
1
6
0
0
0
0
0
1
0
0
0
1
7
1
0
1
0
0
0
2
1
1
1
0
1
0
1
1
0
2
0
0
1
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
1
0
2
0
1
1
1
2
1
1
0
0
1
1
0
1
1
0
0
1
0
3
3
0
2
1
1
0
3
0
0
1
2
0
0
0
1
1
0
2
1
1
0
0
0
1
1
1
1
0
5
0
0
1
1
0
1
0
2
1
0
0
1
0
3
1
0
0
1
0
2
0
4
0
0
0
0
0
0
1
0
0
0
1
0
1
1
0
4
1
0
1
0
0
0
3
0
0
7
0
2
0
1
0
0
1
3
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
2
2
0
0
1
0
0
3
2
0
1
0
0
0
0
1
0
0
3
3
1
0
1
0
1
1
0
1
0
1
0
1
0
0
0
0
1
0
1
1
0
0
0
0
1
0
0
1
2
1
1
0
0
1
2
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
2
1
2
0
0
1
0
1
0
1
0
1
1
0
0
0
1
1
0
1
0
1
1
3
0
0
1
1
1
0
0
2
2
0
0
1
0
1
0
0
0
0
0
1
1
0
0
0
1
2
3
0
2
1
0
1
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
1
0
1
0
1
13
1
0
0
0
0
0
0
0
1
3
1
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
4
2
0
1
0
1
0
0
1
2
0
1
1
1
0
0
1
0
1
0
0
0
0
0
1
0
2
0
1
0
0
2
0
0
1
0
0
0
0
0
0
1
0
1
0
1
1
0
0
1
3
0
0
1
0
0
2
0
3
0
1
0
0
0
4
0
0
2
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
2
0
1
0
0
0
0
1
0
0
0
1
3
0
0
1
0
2
0
3
0
2
0
1
2
0
0
1
1
0
1
0
0
0
4
0
0
0
0
0
0
0
0
1
0
5
1
0
3
0
1
0
0
0
0
0
0
1
2
0
0
0
0
1
0
0
2
2
0
1
2
1
0
1
0
0
1
0
0
0
0
1
0
1
0
0
0
1
1
1
6
0
0
3
0
0
0
1
0
1
1
0
0
0
1
0
0
0
1
1
0
0
2
1
0
1
1
2
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
3
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
2
1
1
0
1
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
1
1
1
1
0
0
2
0
0
0
0
0
0
1
1
0
1
0
0
7
0
0
1
2
0
1
0
0
1
2
0
1
0
1
0
0
1
6
3
1
1
0
2
0
0
1
1
1
0
1
1
0
0
5
1
1
0
0
0
0
0
0
1
2
0
0
1
2
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
1
2
0
2
0
3
0
2
1
7
1
1
1
0
0
1
0
1
1
0
0
1
0
1
1
0
0
0
0
3
1
0
0
0
0
1
0
0
0
0
0
0
0
11
0
0
0
1
0
0
1
1
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
1
0
1
0
0
0
0
0
0
1
0
2
0
2
2
1
0
1
1
0
1
0
1
2
0
0
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
1
1
0
2
0
7
0
0
0
0
2
1
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
3
1
0
2
0
0
0
1
0
0
2
0
0
9
2
2
0
0
0
0
3
0
1
0
1
2
6
1
2
0
1
0
0
0
0
1
7
0
0
0
1
1
2
0
1
0
0
0
0
0
6
4
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
0
0
1
0
2
0
0
1
0
0
0
1
1
0
1
0
1
0
0
0
0
2
0
0
0
0
0
0
0
0
2
1
1
0
0
3
0
0
0
2
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
2
0
1
0
1
0
0
5
1
1
1
0
0
0
0
1
3
0
1
0
0
1
0
1
1
1
0
0
0
0
1
0
1
3
0
2
0
0
0
0
0
3
0
0
0
0
0
2
0
0
1
0
0
0
2
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
2
0
0
1
1
0
0
0
1
1
3
1
0
0
1
4
0
0
0
1
1
0
4
1
4
0
0
0
0
1
1
5
1
0
0
0
1
0
3
1
1
0
0
0
0
0
1
1
0
0
0
0
0
1
6
0
0
0
0
1
1
0
2
0
0
0
0
0
0
2
0
2
1
1
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
1
1
0
0
1
0
0
2
2
0
2
1
1
2
2
0
1
7
0
1
1
6
1
0
0
1
0
0
1
1
0
0
0
1
0
0
1
1
0
5
0
1
1
0
1
0
0
1
1
3
2
0
1
0
0
1
0
0
0
1
2
0
2
1
1
0
0
1
0
0
1
0
2
0
0
0
1
0
1
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
2
0
0
3
0
0
1
0
1
0
1
0
0
0
0
0
0
2
1
1
1
1
0
0
0
0
0
8
0
2
1
0
0
1
5
0
2
0
1
0
1
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
2
1
1
0
1
1
1
2
7
0
0
0
0
0
1
0
0
0
0
0
1
3
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
1
2
0
1
0
1
6
0
0
1
1
0
2
0
0
2
0
2
0
0
0
0
0
0
0
1
0
0
1
0
0
2
2
0
1
0
0
0
0
0
0
0
2
0
1
0
2
0
0
0
5
0
2
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
2
0
0
2
0
0
2
1
1
3
0
0
0
1
1
0
0
0
1
1
0
0
0
0
1
1
1
0
9
0
0
0
0
4
0
0
2
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
3
1
0
0
2
0
0
0
1
2
1
1
0
0
0
0
3
0
1
1
0
0
0
0
0
0
1
0
2
0
0
1
0
0
1
1
3
0
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
1
0
2
0
0
0
1
0
0
0
0
1
0
0
1
2
1
0
0
0
1
1
1
0
0
1
1
0
1
1
0
4
0
0
0
0
2
1
1
0
0
3
2
0
0
1
1
0
0
2
1
2
0
1
1
0
0
4
0
0
1
1
1
0
1
1
0
2
1
1
0
0
1
0
1
0
0
0
0
0
1
0
0
2
1
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
3
1
0
0
0
0
2
0
0
0
1
0
0
0
2
0
0
0
1
0
0
1
2
0
0
0
0
11
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
1
2
0
0
1
0
0
0
0
1
1
1
2
0
0
2
2
1
0
0
2
1
0
1
0
0
0
2
1
1
0
0
1
0
0
0
0
0
1
0
0
0
0
2
1
0
0
0
0
1
1
1
0
0
0
0
1
1
1
0
1
4
1
0
0
0
0
1
1
0
0
0
3
0
9
1
0
1
3
2
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
9
0
0
2
0
0
0
0
0
0
0
0
1
0
1
0
3
0
0
0
1
0
3
0
1
1
0
0
2
0
0
0
2
0
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
2
1
0
1
0
0
0
0
0
1
0
1
1
0
1
0
0
1
3
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
2
0
1
0
1
0
1
0
0
1
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
1
2
2
7
0
0
0
0
1
0
0
0
0
0
0
1
1
0
1
0
1
0
1
1
0
0
1
6
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
8
0
0
0
0
2
1
0
1
0
0
1
2
2
0
0
0
0
2
0
0
0
1
0
0
1
0
0
1
0
1
1
1
0
0
2
1
0
0
0
1
0
1
5
0
0
1
1
0
0
0
0
2
0
0
0
1
0
1
0
0
0
3
0
0
0
1
0
0
0
0
1
1
1
0
0
2
2
0
1
0
0
1
0
0
0
3
0
0
0
0
0
1
0
0
0
0
0
2
2
1
0
2
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
2
0
0
0
1
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
3
0
2
1
1
0
2
1
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
3
1
1
2
0
0
1
1
0
0
0
0
0
1
0
0
1
0
1
0
2
1
0
0
1
1
0
0
0
0
1
1
1
2
0
0
1
1
0
1
1
0
0
1
0
1
0
1
0
1
0
0
0
0
1
0
0
0
0
1
1
0
1
2
0
0
1
4
0
1
0
0
0
1
0
0
1
0
0
0
0
0
1
2
1
0
0
0
0
0
0
1
0
0
2
0
0
0
2
2
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
1
1
1
0
0
1
1
0
1
0
0
0
0
0
0
2
0
0
1
0
0
0
1
0
3
1
2
1
1
1
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
1
0
0
1
0
2
1
1
0
1
0
0
0
0
2
1
0
0
2
0
0
0
2
2
0
0
0
0
3
0
0
1
0
0
1
5
0
1
0
1
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
1
0
1
1
0
0
0
2
0
1
0
0
0
2
0
0
0
0
0
0
5
0
0
0
1
0
1
0
1
2
0
1
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
4
0
0
0
1
1
1
2
0
1
0
0
2
0
0
0
1
3
1
0
0
0
0
1
0
1
4
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
1
0
1
0
0
0
2
0
1
1
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
2
1
0
0
0
0
0
0
4
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
2
1
1
0
0
2
0
1
0
0
1
1
0
0
2
1
1
0
0
1
1
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
1
1
1
0
2
1
0
1
0
2
0
0
1
0
0
1
0
1
0
2
2
0
0
0
1
0
0
0
0
3
0
0
2
0
0
1
0
0
1
0
1
0
0
0
0
3
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
1
1
1
1
0
0
0
0
1
0
1
0
0
0
1
0
2
0
0
0
0
0
0
2
0
2
1
0
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
2
5
1
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
3
2
0
0
1
2
1
0
3
0
0
0
4
1
0
0
2
0
0
0
0
1
0
0
0
0
0
1
1
1
5
0
0
0
0
0
0
0
2
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
0
1
0
0
0
1
1
1
0
0
0
2
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
2
1
2
1
2
1
0
0
2
1
0
0
0
0
0
0
1
3
0
2
1
0
1
2
1
0
0
1
0
2
0
1
0
0
1
0
0
0
0
0
3
1
0
0
1
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
10
0
1
0
2
0
0
10
0
0
1
2
0
2
0
1
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
1
0
1
0
2
0
0
0
0
0
0
0
1
0
1
2
1
0
2
0
0
1
0
1
1
0
0
1
0
1
0
1
0
0
1
0
0
0
0
1
1
1
0
2
1
1
0
0
4
1
0
1
4
1
1
3
0
1
0
0
2
0
0
1
3
1
0
0
1
1
1
0
1
1
1
1
0
0
0
0
0
1
1
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
1
0
3
1
2
0
1
0
1
1
0
1
0
0
1
0
1
0
0
0
0
2
0
0
1
0
0
1
0
0
4
0
1
0
0
1
2
2
0
2
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
0
1
2
1
0
0
0
0
12
0
0
1
0
0
1
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
2
0
0
1
0
0
0
2
1
0
7
9
1
3
0
0
1
0
1
0
0
1
0
0
1
0
0
1
0
3
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
1
0
1
0
0
0
0
1
0
0
2
0
1
1
0
0
0
0
0
1
0
1
1
0
0
0
1
1
0
0
0
2
0
0
1
0
1
0
1
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
3
0
1
0
0
0
0
0
0
1
8
1
0
0
0
2
1
1
0
1
1
0
0
12
0
0
0
1
1
0
1
2
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
2
0
1
1
0
0
2
0
0
1
1
0
1
0
0
0
0
1
1
1
0
1
1
0
0
0
0
0
0
0
1
0
2
1
0
0
0
0
1
1
0
0
0
0
1
2
1
0
1
0
2
1
1
1
1
2
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
1
1
0
1
0
0
0
1
0
0
1
0
0
1
0
4
0
2
0
0
0
1
1
0
0
0
0
1
0
2
1
1
1
0
2
0
0
0
0
0
2
0
2
0
0
0
0
1
0
0
0
0
1
0
2
0
0
0
2
0
1
5
0
0
1
0
0
1
0
0
0
0
1
0
1
2
0
1
0
0
1
0
0
1
1
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
0
1
1
1
0
0
2
0
0
0
0
0
3
1
0
0
0
3
0
1
1
0
0
0
1
3
0
0
0
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
1
0
0
1
1
0
1
0
1
0
0
0
0
0
2
0
0
0
1
0
0
1
0
1
0
1
1
1
2
1
1
1
1
1
2
1
1
1
1
3
0
0
2
1
0
1
1
1
2
0
0
0
1
0
1
0
1
0
0
0
1
0
1
1
0
0
0
0
0
0
0
2
0
0
0
1
2
1
0
0
0
0
0
0
1
1
1
0
1
0
1
0
0
0
1
0
2
0
0
0
0
0
0
1
4
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
2
1
0
0
0
1
1
2
1
0
0
0
1
2
0
0
0
0
0
0
0
0
1
0
0
1
1
2
0
1
0
1
0
0
0
0
0
0
9
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
1
2
0
1
0
1
0
2
4
0
1
0
0
1
1
1
2
0
0
0
1
0
0
0
3
1
1
1
1
2
0
0
1
1
0
1
1
0
0
1
0
1
0
1
0
0
0
2
0
0
0
0
0
0
1
0
1
0
1
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
2
1
1
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
0
0
20
0
0
1
1
1
1
0
1
0
0
1
1
1
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
1
1
1
0
0
1
0
0
0
1
1
0
0
3
0
2
0
0
0
1
0
0
2
0
0
0
0
1
0
1
0
0
0
0
0
0
1
3
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
2
0
0
1
0
0
0
3
0
0
0
0
0
0
1
0
0
0
0
0
0
2
1
0
1
1
1
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
1
0
0
2
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
1
0
0
0
1
0
5
0
0
2
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
12
0
1
1
2
0
1
0
1
0
1
1
0
1
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
1
0
0
1
1
0
1
0
1
0
2
0
0
0
1
0
0
0
1
0
2
1
1
0
1
0
1
1
0
0
0
1
0
0
0
1
1
2
2
1
1
0
0
6
0
0
0
0
0
1
0
0
1
0
0
2
1
0
1
2
0
0
1
0
0
1
1
2
2
0
1
0
1
2
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
2
1
0
0
0
0
0
0
0
2
0
0
0
0
1
0
4
4
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
2
0
0
1
1
1
0
0
0
0
1
0
1
0
0
2
1
0
0
0
1
1
0
0
0
2
2
1
6
0
0
0
8
1
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
1
0
0
1
1
0
0
1
0
2
1
0
1
2
1
0
2
2
0
1
0
1
1
0
0
0
0
1
0
0
5
1
0
2
0
0
1
0
0
0
0
1
2
0
1
0
0
1
1
0
0
1
0
0
0
1
0
0
1
0
1
0
0
1
1
0
7
2
0
0
0
0
1
1
1
0
0
2
0
0
1
1
0
0
1
0
0
0
0
0
1
1
1
0
0
1
0
0
1
2
1
0
1
0
0
1
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
9
1
0
0
3
2
0
2
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
2
1
0
0
0
3
0
0
2
0
2
0
0
1
0
1
1
1
0
0
0
1
0
0
1
0
1
2
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
8
0
2
0
1
1
0
1
0
0
0
0
1
1
1
0
0
0
2
0
0
1
0
0
1
0
0
1
1
0
5
1
0
0
1
0
1
0
2
3
0
0
0
0
0
1
4
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
0
1
2
0
0
0
0
0
1
0
1
2
0
0
0
0
1
2
0
1
1
1
0
1
2
1
1
0
0
0
0
0
0
0
0
1
0
0
1
2
1
1
0
1
0
1
0
0
0
0
0
0
0
1
1
0
2
0
0
1
0
1
0
0
0
0
0
6
0
0
0
1
2
0
0
0
0
0
0
0
0
2
0
0
1
0
1
0
0
1
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
0
1
0
1
1
0
2
1
0
0
0
0
1
1
0
0
0
0
2
2
0
2
0
0
1
0
0
0
0
0
1
0
2
1
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
1
7
2
1
0
0
0
0
0
2
1
0
0
0
0
0
0
2
1
0
2
0
1
3
0
1
0
2
0
0
2
0
1
1
1
0
1
0
0
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
1
0
1
1
2
2
1
0
1
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
1
1
1
1
0
0
0
0
1
0
0
1
1
1
1
3
0
0
0
0
0
2
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
1
1
0
0
0
0
0
2
0
0
1
1
1
2
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
3
1
0
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
3
2
1
0
1
0
1
0
5
2
0
0
0
2
0
1
0
2
2
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
6
1
0
2
1
0
0
0
0
0
0
1
0
1
0
1
1
0
0
2
1
0
1
6
1
0
0
0
0
1
0
8
1
0
0
1
3
0
0
1
0
0
0
0
0
0
0
5
0
0
1
0
0
0
2
0
0
1
1
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
2
0
1
0
0
1
0
2
0
1
0
1
0
6
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
1
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
1
3
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
3
2
0
0
0
1
0
2
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
1
0
0
0
9
2
0
0
0
0
2
0
0
0
1
0
2
0
0
0
0
1
0
3
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
3
0
0
0
0
1
0
0
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
0
0
2
0
8
0
0
0
0
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
1
2
0
0
1
1
0
2
2
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
2
1
0
0
0
3
3
0
0
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
0
1
0
1
0
0
0
0
0
2
0
1
0
0
0
1
0
0
1
0
1
0
0
1
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
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
0
1
1
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
1
0
1
0
1
0
0
0
0
1
2
0
0
0
0
0
0
2
0
0
2
0
1
1
1
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
1
0
0
0
0
1
0
0
0
0
0
6
0
2
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
2
0
1
0
0
0
1
0
0
1
0
1
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
1
0
2
0
0
0
0
0
2
0
1
2
0
2
0
0
1
1
0
4
0
2
0
0
1
0
1
0
1
3
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
1
1
1
0
0
0
1
1
0
0
1
1
0
0
1
0
0
1
1
0
0
0
0
1
0
0
0
0
1
0
1
2
0
1
1
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
3
0
1
0
0
0
0
1
0
0
0
1
0
0
1
0
0
4
0
0
0
0
0
2
0
0
2
0
0
0
1
1
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
6
0
0
0
0
0
0
1
1
0
9
0
1
0
2
0
0
0
1
0
0
0
0
0
2
2
1
0
0
1
1
1
1
0
0
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
2
1
0
2
0
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
1
0
2
0
0
1
2
0
0
0
0
20
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
2
0
0
0
0
0
0
0
2
0
1
0
0
0
0
5
0
2
0
0
0
1
1
0
1
2
0
1
0
0
1
0
0
1
0
3
0
0
0
0
0
2
1
0
0
1
0
0
1
0
0
0
0
1
0
2
0
0
1
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
1
0
1
0
0
1
0
1
2
0
1
1
0
0
2
1
0
0
1
1
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
0
1
2
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
1
0
1
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
1
0
0
1
0
0
0
0
0
1
2
0
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
2
0
1
0
0
2
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
7
0
1
0
1
0
1
1
0
0
0
1
1
0
1
1
1
2
2
0
1
0
0
1
1
0
0
0
0
0
0
2
0
0
1
0
0
2
0
0
0
0
0
1
0
1
0
0
0
3
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
1
0
4
1
0
1
0
2
0
0
1
2
0
0
0
2
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
1
0
5
0
0
0
2
0
0
0
1
0
1
1
0
0
0
1
0
0
2
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
12
0
4
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
18
1
1
2
0
0
3
0
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
1
0
0
4
0
0
0
0
0
1
0
0
1
0
0
0
0
1
1
0
1
0
0
1
1
0
0
0
6
1
0
0
1
1
0
0
0
0
0
1
0
0
1
1
0
2
0
0
0
1
1
0
1
0
0
0
0
2
0
1
1
1
0
0
0
0
6
0
0
10
1
0
1
1
1
2
0
1
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
2
0
1
0
0
0
1
0
1
0
0
0
0
1
0
1
1
0
1
1
0
1
1
0
1
1
0
0
1
1
0
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
1
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
1
2
0
0
1
2
0
2
1
1
1
0
0
0
0
1
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
4
0
0
2
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
1
2
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
0
0
0
0
1
3
0
0
0
1
2
1
1
0
0
0
1
0
3
0
0
0
0
0
0
1
1
0
0
3
2
2
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
0
2
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
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
1
0
1
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
1
0
1
1
0
3
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
6
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
0
1
3
2
0
2
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
6
0
1
0
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
1
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
0
1
0
1
0
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
1
0
1
1
0
0
2
1
1
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
1
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
3
1
1
0
0
3
0
1
0
1
0
1
0
0
0
0
1
1
1
0
1
0
0
0
0
1
1
0
0
1
0
1
1
2
0
0
0
0
0
0
1
0
1
7
0
0
1
0
0
0
2
1
2
1
0
0
0
0
0
0
7
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
3
0
0
0
0
0
0
1
1
0
0
1
0
0
2
0
0
4
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
1
2
4
1
0
0
0
0
0
0
0
1
0
1
2
0
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
9
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
2
0
0
6
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
0
1
0
1
0
0
9
0
0
0
0
0
0
0
1
0
0
1
2
0
0
1
1
1
0
0
0
2
2
1
0
0
3
0
0
0
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
0
0
0
2
0
1
0
0
1
0
0
0
3
0
0
0
0
2
2
0
0
1
0
3
0
0
0
0
2
2
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
2
0
1
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
3
1
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
4
1
0
1
1
0
0
0
0
1
2
1
1
0
0
0
0
2
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
1
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
0
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
1
1
1
0
0
0
1
0
4
0
0
0
0
0
0
1
0
2
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
1
5
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
2
0
0
0
1
0
0
1
1
1
0
0
1
1
0
0
6
1
1
1
0
0
0
0
0
0
0
1
0
0
1
3
1
1
0
0
0
0
0
1
0
0
0
0
2
2
0
0
0
1
1
0
1
0
1
0
1
0
0
3
1
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
6
0
0
0
0
2
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
1
0
1
1
0
0
3
0
1
1
0
0
0
0
0
1
1
2
0
0
1
0
0
0
0
0
4
1
4
0
3
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
2
0
0
1
2
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
2
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
2
1
0
1
0
0
0
0
0
0
0
1
0
1
1
1
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
1
1
0
0
2
0
1
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
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
2
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
18
0
0
2
0
0
0
0
0
0
0
9
0
0
0
0
2
1
0
1
0
0
0
0
1
0
0
0
0
0
8
0
8
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
17
0
0
0
0
0
0
0
0
1
0
14
0
1
0
0
0
0
1
1
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
6
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
2
3
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
1
1
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
15
0
0
0
0
1
1
0
2
0
0
0
0
2
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
1
0
1
1
0
0
4
0
0
0
0
0
1
0
0
2
0
0
0
1
0
2
1
0
0
0
1
1
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
1
2
0
1
1
1
0
0
1
1
1
0
0
1
1
0
1
0
1
1
0
1
2
0
0
2
1
0
0
1
0
0
0
0
1
0
1
1
0
0
1
0
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
5
1
4
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
3
0
0
0
0
0
0
5
0
0
0
0
0
0
1
1
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
1
0
0
0
1
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
1
0
2
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
3
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
2
1
0
0
0
2
0
0
0
0
0
1
1
0
0
1
3
1
0
0
0
0
0
1
2
0
1
0
0
1
0
6
1
0
1
0
0
0
0
0
2
0
0
3
0
0
0
1
0
1
0
2
1
0
0
1
0
0
1
1
0
0
1
0
0
0
1
0
1
1
1
0
0
1
1
0
0
0
16
0
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
1
2
0
0
1
1
0
0
0
0
0
2
0
0
0
1
0
1
0
1
2
1
0
1
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
3
0
0
10
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
4
1
1
1
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
11
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
1
0
0
0
0
5
0
0
0
1
0
0
0
1
0
1
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
2
0
1
0
0
0
1
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
1
1
1
0
0
0
0
1
1
0
0
1
0
0
0
1
1
0
4
1
0
0
1
0
0
0
2
1
2
0
0
0
0
1
0
1
0
0
0
0
0
1
0
3
0
0
0
2
1
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
0
1
0
1
0
0
1
1
0
1
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
2
0
0
1
0
0
0
2
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
1
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
3
0
1
2
0
3
0
1
0
1
0
3
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
3
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
1
1
1
0
1
0
0
1
1
0
0
4
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
1
0
0
1
0
0
0
1
0
0
0
0
1
2
1
0
0
1
1
0
1
0
2
1
0
0
1
0
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
5
0
0
0
0
0
0
0
1
0
0
0
0
0
7
1
0
0
4
0
5
0
1
1
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
3
1
0
1
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
0
0
1
1
2
0
0
0
1
0
1
0
0
1
0
0
1
1
2
0
0
1
1
1
1
0
1
1
0
0
0
0
0
2
0
1
0
0
0
1
1
0
0
6
0
0
0
0
0
0
0
1
0
1
0
2
1
0
1
0
0
1
0
1
0
0
1
2
1
5
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
8
0
0
1
1
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
2
0
0
0
0
1
0
0
0
0
10
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
2
0
1
0
0
0
0
2
0
0
3
0
0
0
0
1
0
0
0
1
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
1
1
1
0
1
0
1
0
1
0
0
0
1
0
2
0
0
1
0
0
2
0
0
0
0
0
0
0
0
1
1
0
1
0
2
0
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
1
0
0
0
0
0
0
0
0
5
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
1
10
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
1
0
0
0
1
0
1
0
1
0
1
0
1
0
0
1
1
0
0
2
0
1
0
0
0
0
0
1
0
0
0
1
0
1
1
0
0
0
0
1
0
0
2
0
1
0
0
0
0
0
0
1
0
1
0
1
2
0
0
1
0
0
0
0
0
0
1
1
1
1
0
0
0
1
0
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
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
3
0
1
0
0
1
0
0
2
6
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
1
1
0
2
0
1
0
1
0
1
2
0
0
7
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
3
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
2
0
0
0
0
0
1
0
0
0
1
0
0
0
1
2
0
1
0
0
4
0
0
0
1
0
0
0
1
0
0
5
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
3
0
0
0
1
0
2
0
3
1
0
0
0
2
0
0
0
0
0
1
0
1
0
1
0
0
1
1
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
1
0
0
3
0
1
0
0
2
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
0
3
0
0
0
0
1
0
1
0
0
0
0
4
0
7
0
0
1
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
6
0
0
0
2
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
1
0
0
2
2
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
2
1
2
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
10
0
0
0
1
0
0
1
0
2
0
1
1
0
1
1
0
1
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
3
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
3
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
1
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
2
0
1
1
0
0
0
0
0
0
2
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
1
4
0
0
0
0
0
2
0
0
0
1
0
1
1
0
0
0
1
1
1
0
0
0
0
0
0
1
0
4
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
1
1
0
1
1
0
0
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
2
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
1
0
3
0
2
1
0
0
0
0
1
0
0
0
0
0
0
0
2
2
1
0
1
1
1
0
0
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
1
0
2
0
8
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
1
1
1
0
0
3
0
0
1
0
0
0
0
0
1
8
2
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
1
2
0
0
0
1
0
1
0
0
0
0
0
0
0
0
2
0
0
2
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
2
0
0
0
0
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
6
0
1
1
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
1
1
0
0
2
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
13
0
6
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
1
2
0
0
0
0
0
0
2
1
0
0
1
0
0
4
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
1
1
0
0
0
0
0
1
1
1
1
1
0
0
1
0
0
0
1
0
0
1
3
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
1
0
0
2
0
1
0
1
0
0
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
1
1
1
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
1
0
0
1
1
0
0
1
0
1
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
2
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
1
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
1
1
0
0
0
1
0
0
2
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
0
0
0
0
0
1
0
2
1
0
0
0
0
0
0
0
0
0
2
0
0
2
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
2
0
0
0
2
0
0
0
1
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
1
1
0
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
2
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
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
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
3
0
0
1
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
1
0
0
0
2
0
0
1
2
0
0
2
0
0
0
0
0
0
2
0
0
0
0
0
0
0
6
1
0
1
0
0
0
1
0
0
0
1
1
0
0
0
2
0
0
2
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
5
5
2
0
1
1
0
0
0
1
0
1
1
0
0
1
2
0
0
0
0
0
0
1
0
0
0
7
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
3
0
0
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
4
0
0
0
0
0
0
2
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
1
1
0
0
0
3
0
1
2
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
1
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
1
0
0
1
1
0
0
0
0
0
0
0
0
0
5
1
2
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
0
0
0
1
0
2
1
0
0
1
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
1
0
1
1
0
1
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
1
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
2
0
0
0
0
4
0
0
1
0
0
0
2
0
0
0
7
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
2
1
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
3
1
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
6
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
5
0
0
0
0
0
0
1
0
0
3
3
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
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
0
0
1
0
1
0
1
0
1
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
4
0
1
1
0
1
0
1
0
1
1
0
0
0
0
0
2
0
0
0
4
0
1
0
2
0
1
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
2
1
0
1
1
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
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
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
1
0
2
0
0
0
1
0
1
0
0
1
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
2
0
0
0
1
1
2
0
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
1
1
0
2
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
7
0
0
0
1
0
0
0
0
0
2
0
0
0
1
2
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
1
0
1
2
0
1
1
0
0
0
2
0
0
0
0
4
0
0
1
1
0
5
0
0
1
0
1
1
0
0
1
0
0
0
0
1
0
0
2
0
1
0
0
0
0
1
0
5
0
0
1
0
1
3
0
0
0
0
0
1
2
0
1
0
0
0
0
0
0
1
0
1
0
6
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
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
1
0
0
1
1
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
1
0
0
0
1
0
1
0
2
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
2
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
1
0
4
0
0
0
0
0
0
0
0
0
0
0
0
7
3
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
1
0
0
0
2
1
1
0
1
1
1
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
1
1
2
11
1
0
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
1
0
1
1
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
0
0
0
4
0
0
0
1
0
0
0
0
0
11
0
0
1
0
3
0
0
1
0
0
0
0
1
1
1
0
1
0
0
0
0
0
1
0
1
0
1
0
0
1
2
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
1
0
1
1
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
0
2
0
0
0
0
0
0
1
1
0
1
1
0
1
1
14
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
1
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
2
0
2
0
0
1
0
1
1
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
1
0
2
0
13
0
1
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
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
1
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
1
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
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
6
0
1
1
0
0
0
0
1
1
1
0
0
1
0
1
0
0
0
0
0
0
0
1
2
0
1
0
0
0
2
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
2
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
1
1
0
0
1
0
0
0
1
0
0
0
1
0
2
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
5
0
0
1
0
0
0
0
0
0
1
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
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
2
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
2
1
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
0
0
1
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
2
0
1
1
0
0
1
0
0
0
0
1
1
0
0
0
0
0
1
0
1
1
0
1
0
0
0
1
0
1
1
0
0
1
1
0
0
2
0
1
1
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
1
0
4
0
1
0
0
0
0
0
0
1
0
1
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
1
0
1
0
13
0
0
1
0
1
0
0
2
10
0
0
1
0
0
1
2
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
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
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
12
1
1
0
1
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
2
0
0
0
1
0
0
1
1
0
0
1
1
0
0
0
0
2
0
4
0
1
0
0
1
1
2
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
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
1
1
0
0
0
1
0
0
1
1
0
0
0
0
0
1
0
5
0
0
3
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
2
0
0
0
1
0
2
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
13
0
4
1
0
0
0
0
1
1
3
1
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
0
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
0
0
1
0
0
0
0
1
0
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
1
0
0
0
0
3
1
1
0
2
1
0
0
1
0
0
1
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
2
6
0
0
0
0
0
0
0
1
1
1
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
2
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
0
0
0
0
0
0
0
1
0
0
2
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
1
1
0
1
0
1
0
0
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
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
1
0
0
1
0
0
0
1
0
0
0
2
0
0
1
0
2
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
1
2
0
0
1
0
1
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
1
1
1
0
0
0
0
0
0
0
0
5
0
0
0
0
0
1
0
1
0
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
0
0
0
0
0
0
1
0
0
2
0
1
0
0
0
0
1
0
1
0
3
0
0
0
0
0
0
0
0
0
0
0
1
0
0
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
1
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
1
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
1
0
1
2
1
0
0
1
0
0
0
0
1
0
0
0
0
0
1
1
0
0
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
1
0
0
0
0
9
0
0
1
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
1
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
1
0
8
0
0
0
0
0
0
5
0
0
0
0
0
0
0
1
0
1
0
0
1
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
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
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
1
0
0
0
1
0
0
1
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
2
0
0
0
1
0
1
0
2
0
0
1
0
0
1
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
1
1
0
0
0
0
1
0
0
2
0
0
0
0
0
1
0
0
1
0
2
0
2
0
2
1
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
1
0
0
0
2
0
0
1
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
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
2
0
0
0
0
0
1
1
0
0
0
0
3
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
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
1
1
0
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
2
0
0
1
0
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
0
1
1
0
0
0
10
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
2
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
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
2
0
0
0
1
0
0
0
0
0
0
2
0
1
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
2
0
3
0
0
0
0
1
0
1
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
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
2
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
3
0
0
0
0
0
1
1
0
0
0
0
0
0
4
1
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
2
3
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
1
0
1
1
0
0
0
1
1
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
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
2
3
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
2
1
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
1
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
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
2
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
1
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
1
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
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
1
0
0
0
0
0
0
0
1
0
0
0
6
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
3
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
8
0
1
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
1
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
1
0
4
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
1
0
2
0
0
0
0
1
0
1
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
1
0
0
0
0
1
3
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
3
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
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
7
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
2
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
1
0
0
0
0
1
0
1
0
1
0
3
0
0
0
0
0
0
1
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
1
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
2
0
0
0
1
1
0
0
1
0
0
0
0
2
0
0
0
0
7
1
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
4
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
3
0
0
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
1
0
0
1
1
1
0
0
0
0
1
5
0
0
1
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
9
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
0
1
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
0
0
1
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
13
0
0
0
0
0
0
1
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
1
1
0
0
3
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
1
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
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
1
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
3
0
0
1
0
0
0
0
1
2
0
0
0
0
0
0
0
0
3
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
0
0
0
1
0
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
0
0
0
3
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
2
1
0
0
0
0
0
0
1
1
0
1
1
0
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
1
2
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
4
0
1
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
4
0
0
0
1
0
0
0
0
1
0
0
0
1
1
1
0
0
0
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
0
0
0
0
1
1
0
0
1
0
0
0
1
1
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
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
1
3
2
0
1
0
0
1
2
0
0
1
1
0
0
0
0
0
0
0
2
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
1
0
0
0
0
2
0
0
1
0
1
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
3
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
6
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
0
1
0
0
0
0
0
1
6
0
0
1
0
2
0
0
0
1
2
1
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
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
7
0
0
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
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
1
2
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
1
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
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
2
0
0
0
1
5
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
1
0
0
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
5
2
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
1
0
0
0
0
0
0
0
2
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
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
5
1
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
1
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
2
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
7
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
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
1
9
0
1
0
1
1
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
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
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
4
0
0
1
0
0
0
0
0
0
3
0
0
0
0
1
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
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
1
2
1
0
2
0
0
1
1
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
2
14
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
1
10
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
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
0
0
0
0
0
0
0
1
0
3
1
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
3
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
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
3
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
3
0
0
0
0
0
0
0
0
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
1
1
0
0
0
2
0
0
0
0
0
0
1
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
1
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
1
0
0
1
1
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
7
0
3
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
1
0
0
2
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
1
1
0
1
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
1
1
1
0
0
0
0
0
0
0
1
2
0
0
0
2
0
0
0
0
0
0
1
0
0
0
2
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
2
0
0
8
3
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
1
1
1
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
1
1
0
1
0
0
0
0
0
0
1
1
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
4
0
0
1
0
0
0
0
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
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
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
1
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
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
5
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
3
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
3
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
1
1
0
0
0
16
0
0
0
0
2
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
1
1
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
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
2
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
5
0
0
0
1
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
1
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
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
1
0
1
0
0
0
0
0
0
2
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
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
1
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
1
0
2
0
0
0
2
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
5
0
0
0
2
0
1
0
0
1
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
1
0
0
0
1
4
0
0
0
0
0
1
0
0
0
0
0
1
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
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
1
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
1
1
0
0
0
0
0
0
2
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
7
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
1
0
0
0
4
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
5
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
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
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
1
0
1
0
1
1
0
0
0
1
1
0
1
0
1
0
0
0
1
0
2
0
1
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
1
0
0
1
0
0
0
0
1
0
0
0
2
0
0
0
0
0
0
1
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
7
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
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
0
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
0
6
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
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
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
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
2
0
1
0
1
0
1
0
0
1
1
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
1
0
1
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
1
0
0
0
0
1
1
0
0
0
2
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
2
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
1
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
2
0
0
0
0
0
0
1
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
1
0
7
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
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
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
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
2
1
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
1
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
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
0
0
0
0
0
1
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
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
1
0
0
0
0
0
0
0
0
1
2
0
0
1
0
0
0
0
0
0
0
1
0
0
0
5
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
2
2
0
0
0
0
1
0
0
1
2
0
0
1
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
1
1
0
2
2
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
1
1
1
0
0
0
0
0
0
0
1
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
1
0
0
0
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
1
0
0
0
0
0
0
0
0
2
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
1
0
0
0
1
1
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
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
0
2
0
1
0
0
1
0
1
0
0
4
0
0
0
2
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
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
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
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
3
0
1
0
0
1
0
1
0
1
1
0
1
0
0
0
0
0
2
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
9
0
0
0
1
0
1
0
0
1
0
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
4
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
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
1
0
0
1
1
0
0
2
0
0
0
0
1
1
0
1
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
1
0
1
0
0
0
0
0
2
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
1
0
1
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
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
1
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
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
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
6
2
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
1
1
1
0
1
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
4
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
1
0
0
5
0
0
0
0
0
0
0
1
0
1
1
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
1
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
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
0
2
0
1
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
1
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
1
0
8
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
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
1
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
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
1
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
1
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
1
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
1
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
1
0
0
0
1
3
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
1
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
1
0
0
0
1
0
0
1
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
1
0
0
1
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
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
3
0
1
0
0
1
0
0
0
0
0
0
0
2
1
0
0
0
0
1
0
0
0
0
1
0
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
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
1
0
1
0
1
0
0
0
0
0
0
1
2
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
1
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
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
1
0
0
1
8
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
1
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
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
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
1
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
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
1
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
2
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
1
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
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
1
0
0
0
0
0
0
0
0
0
1
0
0
1
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
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
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
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
1
0
1
0
0
0
0
1
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
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
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
1
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
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
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
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
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
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
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
1
0
0
0
0
2
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
0
0
0
0
0
0
0
0
0
0
1
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
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
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
1
0
4
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
9
1
0
0
0
1
1
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
1
0
0
0
0
1
0
2
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
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
2
0
0
0
2
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
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
1
0
1
0
0
0
0
0
1
0
1
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
0
0
0
1
0
0
0
1
1
0
0
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
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
1
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
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
4
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
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
1
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
1
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
1
0
0
0
2
7
1
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
2
8
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
1
0
0
0
2
1
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
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
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
1
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
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
4
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
1
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
2
0
0
2
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
1
1
0
0
0
1
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
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
5
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
5
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
2
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
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
2
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
1
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
2
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
1
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
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
1
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
1
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
1
0
0
0
0
0
0
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
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
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
1
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
1
0
0
0
1
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
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
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
1
0
0
0
0
0
0
1
1
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
1
0
0
0
5
0
0
1
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
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
1
1
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
3
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
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
2
0
0
0
0
3
0
0
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
1
0
0
0
0
0
0
1
0
1
0
0
0
1
1
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
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
1
0
1
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
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
1
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
1
0
0
0
1
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
1
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
1
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
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
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
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
1
0
0
1
0
0
0
0
0
0
0
0
1
8
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
0
0
1
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
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
2
0
0
0
0
0
1
1
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
1
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
1
1
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
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
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
0
0
0
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
1
0
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
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
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
2
0
0
1
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
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
1
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
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
1
0
1
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
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
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
0
0
0
1
0
0
0
0
0
0
0
0
2
1
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
1
0
1
0
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
1
0
0
0
0
1
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
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
1
0
0
2
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
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
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
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
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
1
0
0
0
0
0
0
0
0
1
1
1
0
4
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
1
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
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
2
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
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
2
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
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
8
0
0
0
0
0
0
1
0
0
2
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
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
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
9
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
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
1
0
2
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
1
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
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
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
1
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
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
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
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
3
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
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
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
1
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
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
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
1
0
0
1
0
0
0
1
1
0
0
2
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
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
0
0
0
0
0
0
0
0
0
6
0
0
3
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
6
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
3
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
5
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
4
0
0
0
0
0
0
0
0
7
0
0
2
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
1
0
0
1
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
1
0
0
0
0
0
1
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
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
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
3
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
1
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
5
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
1
0
0
0
0
0
0
0
2
0
1
1
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
1
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
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
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
1
0
0
0
0
1
0
0
0
0
1
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
1
0
0
0
0
0
0
1
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
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
1
0
0
0
0
0
10
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
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
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
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
11
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
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
1
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
1
0
0
0
0
0
0
1
0
0
0
0
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
0
0
0
0
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
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
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
3
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
1
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
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
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
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
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
1
0
0
0
0
0
2
0
0
0
0
0
0
6
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
1
1
0
0
0
0
0
1
0
1
1
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
1
0
0
0
0
0
0
1
0
1
0
0
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
0
0
0
5
0
0
0
5
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
3
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
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
2
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
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
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
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
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
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
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
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
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
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
2
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
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
1
0
0
0
1
0
1
0
0
4
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
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
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
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
1
0
0
0
0
0
0
0
0
1
0
0
0
7
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
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
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
1
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
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
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
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
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
1
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
1
1
0
1
0
0
0
1
1
0
0
0
1
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
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
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
1
0
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
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
11
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
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
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
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
1
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
0
0
1
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
0
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
0
0
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
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
2
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
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
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
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
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
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
8
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
4
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
1
6
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
1
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
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
0
0
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
1
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
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
4
0
1
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
5
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
0
0
0
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
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
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
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
14
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
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
2
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
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
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
1
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
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
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
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
0
0
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
1
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
1
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
3
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
7
3
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
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
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
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
1
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
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
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
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
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
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
1
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
1
0
0
0
0
0
0
0
0
19
0
0
0
0
0
0
1
0
0
0
0
1
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
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
1
0
0
0
0
0
0
0
1
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
1
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
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
1
0
0
1
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
2
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
2
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
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
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
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
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
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
1
0
0
0
0
0
0
0
0
0
1
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
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
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
2
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
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
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
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
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
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
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
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
2
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
1
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
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
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
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
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
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
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
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
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
1
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
6
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
1
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
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
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
1
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
0
0
0
1
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
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
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
11
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
1
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
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
4
0
0
0
0
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
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
1
1
0
0
0
0
1
0
0
0
1
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
1
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
5
0
0
0
0
1
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
1
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
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
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
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
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
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
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
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
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
4
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
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
7
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
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
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
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
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
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
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
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
1
1
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
1
0
0
0
0
0
0
0
1
0
0
0
0
1
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
2
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
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
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
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
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
8
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
2
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
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
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
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
1
0
0
0
0
0
0
0
9
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
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
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
1
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
3
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
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
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
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
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
1
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
1
0
0
0
0
0
0
0
0
1
0
2
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
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
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
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
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
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
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
1
1
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
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
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
2
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
4
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
6
0
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
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
1
0
0
1
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
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
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
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
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
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
1
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
1
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
1
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
1
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
1
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
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
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
1
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
1
0
0
0
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
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
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
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
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
0
0
0
0
0
0
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
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
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
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
2
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
1
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
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
1
0
0
0
0
0
0
0
0
18
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
0
0
0
0
1
0
0
0
1
1
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
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
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
1
0
0
1
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
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
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
5
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
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
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
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
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
1
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
14
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
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
1
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
1
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
1
1
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
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
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
3
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
0
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
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
1
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
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
2
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
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
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
2
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
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
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
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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