0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-14 05:58:47 +00:00
OI-codes/S2OJ/661/data/flower9.out

100001 lines
197 KiB (Stored with Git LFS)
Plaintext

61
52
38
61
63
46
28
53
34
33
40
50
41
43
38
44
37
22
29
45
25
44
33
35
31
32
46
33
34
42
41
31
36
27
27
30
37
31
24
51
31
31
28
50
40
29
28
29
23
28
49
29
27
44
19
39
33
18
26
38
30
17
30
36
29
23
27
31
33
48
31
41
26
24
28
38
13
32
28
20
23
27
26
21
34
35
23
15
33
26
41
29
16
25
22
17
49
17
28
42
20
30
37
17
20
24
21
29
39
22
20
17
20
13
20
47
25
40
15
22
23
17
36
17
22
16
22
24
30
16
21
33
24
31
28
26
22
27
17
18
11
14
15
20
18
23
18
27
13
14
23
26
22
19
15
32
21
17
37
30
23
12
8
18
25
22
29
18
16
12
17
25
9
13
30
20
25
20
24
10
21
30
16
19
29
7
25
19
20
11
19
21
23
9
15
30
7
32
12
22
30
26
19
36
22
15
16
23
9
35
29
16
21
35
31
18
16
15
33
9
16
18
30
21
21
16
20
19
33
16
7
19
36
24
40
18
13
15
31
12
27
21
7
11
6
21
27
13
12
28
8
19
26
16
19
13
12
19
17
17
7
26
17
8
12
22
14
21
13
14
14
25
21
32
17
22
29
16
20
26
10
9
20
23
13
16
20
18
16
12
19
15
16
14
12
16
16
36
23
20
7
13
14
14
11
22
8
21
12
6
27
15
18
20
11
27
13
17
14
21
14
13
9
21
17
12
48
8
12
8
16
10
16
13
14
12
14
14
27
21
27
14
14
12
22
18
13
17
15
21
12
11
18
16
16
13
9
16
7
25
19
17
21
16
9
18
9
21
7
11
15
19
14
16
15
19
12
10
19
10
11
12
12
17
11
17
20
16
20
9
8
18
19
23
15
13
22
15
15
11
12
33
7
33
22
16
13
15
18
24
16
22
14
18
9
11
8
13
25
13
11
7
23
16
10
11
16
14
12
9
10
8
18
11
11
14
23
14
31
14
16
25
21
8
11
17
25
25
17
18
9
17
9
13
20
9
15
24
18
15
13
10
17
15
12
13
10
12
14
19
12
16
14
20
15
30
14
11
23
17
13
12
8
13
12
11
13
6
11
14
14
9
5
11
16
11
16
11
19
7
16
17
11
13
6
15
15
10
8
15
21
14
7
4
16
14
17
27
15
9
5
10
24
9
13
10
13
16
9
24
10
12
12
12
19
16
19
18
14
11
13
21
10
17
11
12
7
20
19
14
11
14
14
15
11
12
14
9
12
12
17
25
8
20
10
6
25
23
11
4
10
28
10
17
16
12
12
15
15
18
10
16
7
12
20
17
12
14
18
11
14
14
18
9
14
7
12
19
13
19
9
7
10
11
8
24
18
7
22
30
14
23
12
18
12
16
11
22
10
23
19
8
12
7
8
20
13
7
10
14
7
19
11
10
8
23
17
7
8
19
13
18
9
6
20
13
2
9
11
8
13
12
15
14
10
11
18
9
8
9
11
13
8
14
19
11
14
12
30
9
10
17
14
15
27
11
7
19
25
12
10
12
12
17
8
11
13
9
10
17
24
9
12
13
10
10
13
7
20
11
12
11
4
10
13
10
8
11
9
16
11
13
9
5
10
20
24
25
6
11
16
24
13
12
9
20
16
6
22
19
6
14
4
10
10
21
20
6
11
16
7
12
14
6
12
15
11
8
15
15
9
10
6
14
10
20
10
5
11
6
7
9
13
14
7
10
15
11
6
40
15
7
10
8
32
8
12
5
9
15
12
7
9
6
7
8
25
16
12
9
10
17
16
18
8
12
12
10
10
5
10
11
6
8
12
13
8
21
5
12
8
11
8
16
10
6
27
15
20
6
6
9
27
19
12
7
8
6
10
9
8
3
14
11
12
7
16
12
17
4
12
11
10
12
7
10
13
16
16
20
4
9
6
12
8
16
7
15
13
12
12
11
10
9
5
22
9
8
4
13
12
13
11
15
7
33
9
9
4
6
9
10
11
8
8
8
7
16
11
7
11
12
6
15
11
10
10
19
17
10
6
10
16
10
11
7
7
11
8
14
21
8
14
8
12
8
4
7
15
13
12
25
5
4
11
5
9
9
6
12
7
10
15
7
18
22
3
13
5
5
23
6
5
5
7
11
7
11
8
10
7
9
14
26
8
6
8
14
23
13
15
6
6
13
13
5
11
9
7
3
3
6
6
8
9
9
11
9
8
14
11
14
13
19
19
13
4
10
8
9
6
9
3
8
12
7
8
7
7
8
12
18
20
20
15
8
10
5
18
7
11
8
15
9
7
6
6
15
9
10
12
5
13
5
8
15
9
8
10
9
3
4
15
13
12
9
5
7
6
9
9
7
8
25
16
9
12
29
4
6
17
11
10
14
10
5
32
8
7
10
9
7
5
13
18
7
11
4
3
11
19
13
8
17
11
7
3
8
16
8
13
3
11
8
5
7
10
5
6
19
9
5
13
12
8
12
9
10
10
8
9
5
14
9
9
11
4
3
8
13
3
15
10
23
8
3
16
5
11
7
6
13
7
7
34
6
9
26
14
6
5
14
4
9
19
7
5
10
9
8
3
8
18
6
9
23
10
10
13
12
10
8
16
9
17
10
8
14
5
13
11
9
25
12
7
6
11
7
12
21
16
8
8
13
4
11
20
3
12
3
7
9
15
9
12
6
10
12
13
4
15
10
11
10
16
7
8
13
20
20
11
10
12
16
6
11
13
9
8
13
6
7
9
11
7
11
8
8
3
3
7
7
6
7
17
9
9
8
13
35
11
15
4
12
9
7
16
5
9
13
23
10
9
8
7
15
13
18
10
11
10
3
5
5
7
11
3
4
11
15
5
17
9
7
3
7
10
12
7
5
7
11
7
10
4
8
10
10
2
8
7
16
19
6
8
6
9
4
19
8
11
4
11
7
13
6
8
4
7
20
6
7
14
12
7
15
7
6
23
14
8
6
12
9
7
9
6
12
7
6
5
4
10
4
5
11
9
6
2
5
5
5
5
8
19
4
9
14
12
9
7
7
11
17
6
5
5
5
11
0
8
5
9
7
17
6
11
10
7
8
10
11
10
10
7
11
7
11
8
5
1
6
6
11
8
11
9
7
4
4
7
5
10
4
11
12
2
6
10
6
5
9
3
8
5
4
15
5
6
10
20
8
4
8
6
4
13
6
16
7
3
11
13
8
7
8
8
6
19
9
4
8
7
10
6
11
7
4
14
21
8
5
10
5
9
5
12
9
7
8
15
4
13
9
8
9
11
10
4
12
11
8
12
17
7
6
8
17
11
3
7
7
14
10
10
8
8
9
16
7
9
12
12
8
6
10
6
8
6
7
7
7
13
4
5
16
8
10
22
8
5
5
12
8
14
4
10
5
7
4
6
5
14
4
5
5
8
10
16
8
7
5
33
18
15
14
8
6
4
11
7
10
2
8
20
4
4
17
8
8
17
8
10
9
6
6
6
6
5
2
5
7
7
9
11
9
9
6
13
12
4
4
9
9
7
7
5
2
6
6
9
7
7
5
14
10
2
11
8
14
11
8
2
8
5
4
16
5
7
12
5
8
11
9
13
20
8
8
7
5
5
12
8
12
19
14
2
14
9
11
4
10
23
11
20
4
6
9
7
6
8
13
8
6
4
19
7
12
5
19
3
6
10
5
11
6
5
15
9
7
5
3
2
6
5
2
9
5
6
5
12
11
9
18
12
3
5
4
7
4
3
3
6
7
5
8
8
5
10
12
5
2
3
10
6
4
12
9
8
14
10
5
9
11
6
7
9
10
11
7
27
15
12
7
6
8
5
7
7
11
6
11
3
1
3
9
10
20
8
7
5
6
4
11
5
11
9
11
8
11
8
18
6
6
6
5
4
8
5
8
12
4
5
5
10
15
13
10
6
12
9
8
4
7
21
6
5
7
9
13
8
9
6
10
12
17
7
9
13
17
6
5
4
8
10
14
9
7
6
8
4
4
7
8
11
19
14
15
9
5
8
6
14
4
14
7
6
5
28
4
4
4
7
6
12
11
5
5
6
3
8
7
11
3
7
6
6
8
8
3
8
6
9
9
4
5
12
5
15
6
12
8
6
16
6
2
8
9
5
14
8
4
7
8
6
8
7
8
9
7
5
6
8
17
9
8
7
6
14
11
11
6
6
10
10
10
16
6
7
4
12
9
7
2
12
2
1
4
5
6
5
7
11
7
6
6
7
11
5
4
4
9
4
9
9
7
2
8
6
6
12
11
10
19
6
12
4
13
7
10
15
4
8
8
3
9
4
6
5
3
7
5
4
16
4
1
6
5
6
3
16
3
10
3
9
4
7
9
7
15
3
8
2
6
4
8
9
6
11
16
6
22
3
5
9
3
4
5
8
5
6
1
10
18
3
7
8
7
5
8
7
15
6
12
14
8
11
7
10
6
9
6
6
7
7
7
4
8
15
5
19
10
9
5
2
8
7
5
8
12
3
5
10
6
12
10
8
13
5
7
12
17
13
5
5
4
5
4
10
5
3
28
3
5
8
9
2
5
8
9
4
8
7
11
4
12
10
2
14
5
3
13
4
6
7
5
7
6
3
7
8
4
5
5
22
9
4
8
5
6
5
19
7
17
2
3
11
9
20
3
6
4
6
4
3
5
12
10
4
6
8
10
8
6
9
9
8
7
4
9
11
6
4
6
3
3
7
8
5
7
12
12
5
11
3
3
5
5
6
3
19
14
15
6
5
22
5
6
3
2
3
12
13
9
7
11
4
12
12
6
3
10
6
11
12
4
7
4
5
3
3
11
8
8
10
5
8
3
5
11
4
7
2
17
10
9
4
4
6
4
18
8
4
4
7
1
1
5
5
8
3
4
18
4
5
4
3
8
6
12
4
4
7
7
8
7
8
7
9
10
3
4
6
7
6
17
4
2
8
3
10
8
5
9
9
22
6
9
1
2
2
5
8
5
8
5
4
4
5
8
6
5
10
5
5
5
7
8
11
9
9
3
7
6
4
8
6
6
4
2
11
17
7
1
9
4
7
7
8
6
12
2
2
8
3
6
9
6
2
2
12
13
3
9
30
10
6
11
10
3
4
6
11
5
11
6
4
8
11
4
2
11
11
13
4
2
7
3
7
7
7
16
9
4
5
6
3
5
11
4
6
5
6
7
5
8
7
3
6
17
18
2
6
3
4
14
8
3
6
4
8
10
4
6
9
9
1
9
21
4
7
4
5
6
8
3
7
17
5
9
10
11
11
4
6
11
7
4
4
1
14
8
7
6
6
11
6
9
5
11
30
7
6
8
8
3
5
3
13
10
5
4
3
4
11
4
3
10
3
15
4
4
6
0
15
5
7
9
2
6
5
6
4
14
11
2
3
3
8
4
8
5
7
6
7
12
4
8
6
9
3
4
6
7
18
15
5
9
3
5
2
8
5
10
6
12
11
6
6
5
13
7
6
5
7
6
0
9
0
3
3
6
5
9
12
7
8
6
3
8
9
4
9
7
8
8
9
8
4
4
6
8
2
4
10
6
5
10
8
3
6
6
2
6
3
1
5
10
5
8
1
2
7
3
6
5
4
5
7
6
2
8
5
7
2
6
23
4
7
7
10
7
9
5
15
5
14
5
6
8
10
4
13
3
7
5
20
2
10
12
6
10
2
4
4
3
5
7
8
31
7
8
2
5
6
4
7
9
3
6
5
7
7
2
3
4
6
5
5
10
3
5
6
7
5
2
5
6
5
7
5
5
1
4
5
11
7
7
6
10
7
8
9
5
7
6
9
14
3
11
9
5
1
2
4
13
10
10
3
3
8
8
10
7
4
7
1
7
5
9
6
6
8
5
18
6
8
7
5
4
10
5
6
2
3
4
15
8
5
1
18
3
8
4
6
9
11
7
14
11
2
10
3
9
5
17
8
10
8
4
3
6
7
2
7
4
11
2
9
3
16
8
8
10
9
9
7
3
3
5
11
2
3
7
5
9
1
6
8
4
8
5
17
5
8
7
6
4
4
7
5
3
5
3
3
6
7
1
11
3
5
7
3
10
5
5
8
7
5
7
5
7
4
6
0
5
4
12
12
6
8
5
4
7
3
6
4
10
4
8
4
3
6
5
2
9
3
8
18
5
7
4
0
2
4
8
8
3
11
6
4
7
7
6
5
5
5
6
7
6
7
7
9
3
12
7
5
4
2
6
4
3
7
10
7
10
9
5
6
6
20
20
4
6
6
7
7
13
4
2
7
8
3
6
5
9
1
1
4
6
3
5
9
10
7
14
9
4
8
10
21
8
9
2
6
3
6
6
7
4
2
10
6
9
14
1
3
4
10
6
5
4
10
10
3
2
6
5
3
4
4
8
6
4
5
5
6
3
9
5
6
4
6
4
4
3
4
8
4
6
2
6
5
9
1
7
4
11
12
21
5
6
8
12
3
2
13
2
6
5
4
11
4
4
5
2
7
5
7
8
9
7
16
10
3
7
3
2
23
5
4
5
3
7
3
9
5
2
4
5
6
1
5
5
9
5
4
16
9
4
3
6
12
9
6
7
4
7
10
9
4
6
13
3
5
7
5
4
5
7
10
6
14
7
7
5
5
5
14
7
3
3
3
12
4
4
6
7
5
2
7
14
15
4
19
7
4
6
6
8
4
12
6
9
7
8
7
7
3
3
7
11
1
7
3
4
3
3
4
6
3
2
6
1
9
5
4
7
2
11
5
8
6
6
3
7
5
11
7
2
4
10
5
15
4
4
2
6
4
5
3
2
17
8
4
3
2
5
5
5
8
7
12
6
7
13
8
5
2
8
2
7
2
5
6
5
8
6
10
5
4
3
10
2
4
4
3
16
3
2
7
10
5
6
4
6
7
3
7
4
8
5
5
9
3
9
3
5
4
8
5
7
4
9
1
6
11
6
4
9
5
10
3
11
8
2
7
10
7
17
5
5
0
9
3
1
11
18
4
4
4
5
8
6
6
5
5
6
5
5
7
12
7
3
5
5
20
2
4
5
4
2
3
11
10
4
7
13
4
5
1
5
5
11
8
2
9
2
9
4
4
11
5
5
6
3
6
4
4
4
4
1
5
5
7
5
6
5
3
6
5
6
2
3
1
3
4
15
6
4
4
5
3
6
9
5
3
12
6
2
12
4
4
5
6
5
0
10
7
2
3
5
4
8
5
3
3
2
2
9
6
7
4
5
7
3
8
8
11
5
2
16
8
3
4
6
1
18
2
22
16
5
15
1
1
9
11
5
7
6
5
4
4
6
3
6
2
3
3
12
15
3
9
7
9
6
2
3
8
7
3
1
2
5
6
9
5
11
2
6
4
3
4
6
9
5
5
0
6
9
8
3
6
6
8
1
7
3
9
17
4
4
7
8
4
4
3
9
8
12
6
2
6
7
2
7
3
13
6
4
11
3
6
6
9
6
2
6
0
3
9
4
4
4
2
4
6
8
4
6
2
4
8
11
3
4
11
3
9
2
7
5
6
5
7
7
4
4
6
3
4
2
9
8
4
4
2
6
5
1
4
3
7
7
3
6
6
3
2
7
3
12
9
4
19
6
9
2
4
11
3
4
7
4
9
3
4
7
10
5
4
6
8
4
7
4
4
3
5
4
4
14
3
5
4
3
5
2
6
1
2
4
13
5
5
8
11
6
4
5
2
3
2
3
13
11
7
3
3
3
4
14
9
3
6
6
13
6
5
3
3
10
1
4
1
9
2
1
16
8
5
2
19
1
2
3
12
5
15
5
6
3
3
3
11
6
8
5
5
2
23
5
12
5
1
3
1
2
8
7
4
13
5
4
3
5
4
2
6
7
9
3
4
3
17
5
5
4
3
5
10
12
3
5
8
7
4
3
4
9
13
7
5
5
3
0
4
4
2
1
9
2
6
2
2
6
0
2
17
4
9
5
14
2
5
4
22
3
5
9
13
3
2
5
3
4
4
10
4
2
20
2
2
8
7
2
3
4
8
5
10
9
5
3
7
2
4
8
7
3
3
4
6
4
2
5
0
6
2
5
11
5
8
3
6
5
5
9
4
18
4
2
5
15
12
4
9
7
15
2
10
1
4
4
5
9
1
3
13
5
2
8
4
8
4
7
8
4
4
10
5
2
3
6
21
7
5
3
9
1
3
6
4
4
1
7
6
5
7
3
6
3
5
5
11
1
4
1
11
13
0
7
4
2
4
11
2
21
12
5
4
4
8
5
8
2
1
4
6
7
2
5
8
3
6
7
3
22
3
5
1
4
4
2
4
4
3
2
4
7
5
4
7
9
4
3
5
8
12
6
2
5
1
3
2
3
4
5
3
4
3
7
4
2
8
9
2
5
3
6
3
7
4
4
4
7
5
3
7
4
4
4
5
4
2
4
2
6
5
5
5
11
5
1
3
4
4
0
9
4
8
12
6
3
6
2
3
9
1
4
8
4
3
10
4
18
2
3
1
4
0
8
5
6
22
5
9
6
5
3
12
6
4
19
3
3
7
2
8
3
5
1
2
4
4
3
5
4
3
7
5
12
4
4
4
1
7
3
6
5
4
1
3
2
7
5
1
3
6
4
5
0
3
14
1
2
3
2
5
1
14
19
6
2
3
3
10
12
1
4
6
2
8
1
3
3
9
2
7
11
5
4
5
9
1
16
12
5
9
2
3
1
4
7
4
4
3
5
2
2
4
3
9
7
4
3
5
5
11
7
7
6
8
5
16
6
11
8
3
2
5
7
8
2
6
3
5
4
5
7
3
2
3
2
5
5
8
6
8
15
13
2
5
2
8
1
4
13
6
3
5
7
9
3
4
5
3
0
5
3
9
9
6
4
12
10
0
10
1
8
9
8
9
5
6
1
9
8
5
6
4
6
2
2
10
5
5
3
4
2
4
5
4
4
3
2
11
3
4
1
2
2
4
3
18
9
7
7
6
8
4
6
20
1
3
1
5
5
3
2
2
7
5
4
6
5
6
8
8
4
4
3
7
2
1
4
2
6
2
3
5
2
1
5
4
3
2
1
2
3
3
5
9
2
7
7
5
5
10
7
6
5
3
2
6
4
4
5
1
3
3
11
1
1
1
4
5
3
3
3
5
1
4
6
2
3
3
5
24
3
3
6
4
6
5
1
5
2
1
4
1
3
3
13
6
3
3
5
4
3
2
8
7
6
4
8
3
4
7
10
2
15
3
8
5
13
2
6
9
4
6
6
7
3
1
9
6
0
3
3
2
5
4
4
7
2
4
3
2
3
3
2
10
1
12
2
3
1
2
4
5
1
5
5
6
11
3
10
5
4
7
3
2
2
7
7
0
4
4
10
4
7
7
0
5
3
1
3
15
1
5
10
7
4
5
3
5
12
8
3
3
3
7
4
6
13
5
5
1
2
3
7
2
2
8
3
3
5
5
3
4
2
3
8
6
2
8
21
5
2
1
4
7
6
4
4
1
2
4
9
3
6
2
5
3
3
4
1
2
5
5
3
5
5
3
6
3
12
6
6
4
2
7
7
0
5
5
4
3
5
4
7
4
4
3
6
2
7
5
3
3
3
5
3
6
2
5
4
7
3
4
5
15
7
1
6
9
4
10
2
5
3
3
0
0
2
8
0
9
3
5
2
6
3
2
3
6
5
1
2
13
5
10
6
0
4
3
5
7
3
5
5
2
5
3
4
4
4
4
4
6
6
6
2
4
3
2
6
4
8
6
1
8
2
7
10
4
20
4
4
3
7
3
6
2
0
11
5
6
4
3
15
8
2
6
6
3
2
7
4
5
7
11
3
11
7
7
5
2
5
2
7
11
4
5
6
2
3
17
2
3
6
4
0
7
3
5
4
3
4
5
2
4
4
7
12
2
3
4
3
7
4
5
2
2
2
5
4
4
6
3
5
4
4
3
7
4
2
6
2
4
6
5
4
6
2
6
3
0
5
9
2
3
3
2
2
6
0
5
3
3
6
12
8
2
2
3
3
3
8
3
7
5
2
6
4
5
3
8
4
2
9
4
5
3
9
4
12
6
2
4
0
7
2
3
1
4
2
11
1
1
5
5
5
3
19
8
4
7
2
9
2
15
5
5
5
4
13
5
18
3
1
5
3
4
6
6
2
8
1
4
9
3
4
4
7
10
18
3
6
1
5
3
4
2
5
4
1
12
3
8
7
4
7
10
5
3
4
5
3
2
5
3
3
2
3
5
2
6
10
3
11
5
10
15
5
4
1
4
17
2
8
5
2
3
11
9
2
9
3
7
2
4
6
5
5
4
5
1
2
5
4
5
4
3
2
3
6
4
4
2
5
1
5
3
12
7
3
3
3
14
1
16
4
2
4
4
7
1
14
9
1
4
18
9
1
2
6
1
4
4
3
4
3
3
2
2
3
11
15
1
1
2
6
2
5
1
3
6
5
5
2
6
1
6
5
5
7
5
7
5
2
4
16
5
2
5
4
3
2
7
4
7
5
5
4
1
3
5
3
1
5
4
6
6
1
6
5
0
5
6
7
3
4
4
16
2
2
6
5
1
5
2
6
6
3
5
2
2
2
18
4
5
2
4
4
4
0
6
5
3
3
8
6
6
6
5
13
11
4
6
5
2
2
4
5
2
4
4
3
2
5
13
2
1
8
5
5
1
3
3
4
4
4
13
4
1
21
5
5
5
5
3
5
1
0
2
2
3
5
2
3
1
3
4
3
3
3
5
3
5
3
0
7
5
4
5
11
3
4
4
5
3
2
5
2
0
1
4
4
3
7
1
4
3
10
2
3
9
4
2
8
9
2
8
2
2
7
5
0
2
2
1
7
6
3
3
2
3
7
3
2
1
6
11
7
2
3
4
2
6
0
5
2
13
4
0
2
5
5
4
3
1
3
5
3
9
2
2
7
2
7
4
4
5
6
0
8
1
2
4
8
9
7
4
0
2
2
4
4
4
2
4
6
1
4
9
8
11
4
1
1
7
2
5
7
3
3
2
4
4
3
5
5
5
4
3
8
5
4
10
1
8
5
2
2
3
3
8
6
6
3
5
8
2
4
2
6
5
2
6
4
5
6
7
5
4
3
9
1
3
8
2
2
11
5
1
4
8
5
8
1
6
3
2
4
5
9
6
7
4
3
4
4
5
2
10
2
5
6
4
2
6
3
3
16
4
3
1
3
2
1
4
2
2
2
1
5
2
3
2
13
2
1
1
9
6
5
9
3
9
7
3
3
3
1
3
3
3
2
6
2
1
4
6
12
4
4
3
0
3
2
2
4
3
4
1
4
4
14
8
3
2
2
2
5
4
3
6
10
0
2
3
3
4
6
2
4
2
3
3
11
13
4
4
3
4
4
1
7
5
1
5
10
7
3
1
6
7
12
3
1
9
3
3
5
3
5
3
2
2
2
4
4
5
12
6
4
5
6
1
2
5
6
2
9
5
4
2
4
3
3
5
6
4
4
4
1
7
5
7
7
1
4
0
2
6
7
12
2
4
3
16
1
2
1
4
2
1
4
9
1
5
2
8
6
2
6
5
4
2
3
2
3
2
12
5
1
2
0
1
3
5
2
0
0
0
3
6
6
0
5
5
12
1
3
1
2
8
4
3
6
3
1
3
2
9
4
4
2
4
2
4
14
5
4
4
3
3
3
8
3
7
1
9
4
4
4
2
4
3
4
3
7
8
2
2
3
3
2
5
8
1
8
6
5
4
3
4
4
6
3
6
12
2
0
2
5
2
1
5
3
1
1
5
8
4
6
3
5
9
1
3
2
5
3
4
4
7
4
2
5
5
6
2
2
1
4
7
1
4
3
4
5
7
3
19
2
5
9
9
2
4
2
4
5
3
6
5
9
2
4
4
1
3
2
6
8
2
3
1
5
9
4
1
1
4
3
5
3
7
3
2
2
5
2
5
2
3
7
1
2
3
1
6
0
1
3
4
3
2
3
1
7
0
3
5
2
6
3
4
6
3
4
7
2
8
7
4
3
0
2
5
3
2
4
7
2
11
1
1
4
13
2
4
5
6
7
3
2
3
4
4
2
5
3
7
3
17
3
4
3
12
7
3
2
4
3
5
4
10
1
1
3
5
4
4
2
3
2
4
1
4
6
5
8
2
1
9
3
7
3
3
4
4
0
5
0
6
5
4
4
9
3
10
7
4
2
1
2
15
2
1
3
10
2
6
13
5
20
0
2
2
4
0
13
3
4
5
5
5
3
3
3
2
2
1
2
1
4
2
2
6
3
4
7
5
2
17
2
2
5
3
11
8
4
3
1
3
1
2
3
4
2
4
7
2
1
5
1
2
6
8
1
10
2
1
4
2
11
3
1
3
2
4
1
3
1
2
4
8
3
2
1
2
2
7
5
0
1
4
1
1
4
11
3
3
1
2
1
9
1
3
5
4
3
2
4
6
2
3
3
1
15
0
3
2
3
2
4
3
11
3
4
6
1
2
4
4
0
6
4
4
5
2
5
5
9
2
3
0
6
5
7
1
3
6
2
8
5
4
6
3
4
3
2
8
0
4
3
2
1
4
2
3
1
4
5
8
4
2
4
3
4
1
5
4
5
0
2
3
1
7
17
3
7
6
2
5
7
2
4
2
4
3
5
3
2
4
2
5
7
5
2
2
0
3
1
3
6
2
2
5
15
5
1
2
0
5
2
2
6
4
1
1
3
6
5
2
5
5
7
2
3
2
4
1
5
9
1
6
3
1
1
0
5
2
7
6
3
3
5
5
0
3
4
4
5
2
8
4
4
3
3
1
4
2
14
0
2
1
5
5
4
1
4
3
2
0
2
5
2
5
2
7
6
4
2
4
5
0
2
2
10
4
3
2
2
4
10
5
0
3
3
4
2
0
4
1
4
7
8
5
4
3
2
8
4
1
2
5
0
1
3
4
4
2
4
3
2
4
4
0
3
17
3
4
4
0
6
3
3
3
7
1
9
4
3
1
3
1
2
1
3
5
4
11
2
3
1
0
3
7
3
0
3
2
2
5
13
2
3
7
7
3
12
5
1
2
1
5
4
11
8
8
4
6
2
2
3
5
3
2
4
1
2
3
2
2
1
6
5
1
11
3
3
2
2
5
6
3
6
6
10
3
0
5
3
5
3
1
3
2
3
1
6
0
2
5
2
5
5
10
2
4
3
1
5
1
2
7
3
13
3
5
1
2
2
2
0
2
1
3
3
1
5
1
6
2
5
4
6
6
4
1
4
2
2
0
1
1
6
4
2
1
0
3
2
0
5
2
4
3
6
3
3
4
7
4
7
4
2
3
5
8
8
2
6
3
3
7
4
1
1
5
5
7
10
10
0
0
3
5
3
2
2
7
2
5
4
3
2
1
2
3
3
0
3
9
1
9
3
5
5
3
3
1
4
2
7
4
2
4
6
12
0
5
6
3
6
3
0
3
3
6
1
5
1
4
7
6
1
2
5
0
4
5
2
4
4
3
2
4
3
3
2
6
3
4
4
2
4
3
1
0
1
4
4
3
4
4
2
1
6
5
1
6
2
1
6
2
4
9
0
7
4
6
2
14
1
3
8
5
3
4
4
0
2
13
3
6
6
5
11
10
3
2
5
1
2
3
3
3
2
2
4
3
4
1
6
1
0
5
4
6
7
8
5
0
4
1
8
10
3
3
4
14
3
4
3
3
4
2
2
5
2
2
0
3
2
6
4
2
8
10
2
3
2
3
4
2
6
4
2
7
1
1
4
1
3
5
1
2
8
4
1
8
1
5
1
5
3
3
5
4
5
2
8
1
3
3
4
3
4
2
2
3
2
1
4
2
2
11
5
2
3
5
7
5
4
5
2
1
11
3
7
1
3
3
4
3
7
24
3
5
4
5
2
14
0
1
0
2
4
3
2
2
0
0
9
3
8
4
3
3
6
3
6
5
2
4
14
3
4
0
2
1
2
3
3
5
11
11
6
4
3
5
14
9
0
4
3
6
2
13
3
1
1
5
7
3
1
2
9
5
4
1
4
1
3
2
4
2
1
5
1
1
3
3
4
6
3
18
4
2
6
2
2
1
4
5
10
0
2
3
9
2
4
2
2
7
2
3
3
5
4
3
10
2
4
1
6
10
3
3
2
5
5
2
11
1
3
2
12
2
2
2
1
1
9
2
7
7
3
5
7
1
3
3
2
14
2
3
4
0
2
4
3
3
0
2
4
7
1
6
0
3
4
2
1
5
5
2
4
6
5
1
4
2
2
10
1
13
1
3
2
3
4
0
8
2
4
5
2
3
0
4
10
3
2
5
2
3
1
1
2
3
2
1
2
1
1
1
2
3
2
1
1
2
4
2
3
5
3
5
2
8
2
2
8
5
3
4
2
1
2
3
8
2
3
5
3
8
1
5
5
3
4
1
5
8
7
2
2
4
3
2
1
6
3
3
6
3
0
3
1
2
3
4
3
3
2
2
3
4
4
2
4
3
7
4
2
3
1
5
3
21
6
2
4
4
2
4
4
4
3
3
2
3
5
2
4
3
5
2
3
3
3
9
2
3
5
2
6
0
3
0
5
2
5
6
4
4
1
0
2
6
3
4
2
4
5
9
2
3
3
1
6
4
1
2
2
0
3
4
1
0
9
1
7
4
7
1
4
4
5
3
2
3
4
4
4
4
4
1
6
1
2
3
2
4
2
3
1
3
3
3
1
1
2
3
5
1
9
13
1
7
6
3
4
1
2
5
4
10
3
5
2
11
11
2
2
1
0
7
5
2
6
1
1
3
4
5
1
3
5
3
0
7
2
2
2
0
1
8
4
0
3
4
4
3
6
2
0
6
2
4
3
4
3
6
5
9
1
7
5
6
5
1
1
3
5
7
5
2
3
5
3
1
1
4
4
3
2
2
4
3
2
3
2
1
2
1
4
1
2
0
2
2
3
8
6
3
9
1
3
1
4
9
6
5
0
6
22
2
3
1
5
4
1
2
12
18
5
4
6
0
5
4
0
4
5
3
4
3
3
2
2
9
2
3
1
2
3
2
1
2
2
2
5
2
3
1
5
2
2
1
7
3
17
6
4
5
7
3
3
4
0
1
3
5
9
1
1
2
5
3
1
5
2
5
3
5
2
4
4
3
1
0
1
6
22
0
4
4
4
1
1
2
2
3
3
4
2
5
3
1
7
1
3
5
2
0
7
1
3
4
3
2
2
1
4
3
2
5
5
2
5
1
6
5
1
3
3
4
2
4
3
3
1
4
5
5
5
5
3
2
5
2
4
5
1
0
2
2
3
2
5
3
6
1
4
2
9
3
1
8
7
5
7
4
5
8
3
3
2
2
2
2
10
4
5
6
5
1
0
1
2
2
5
3
4
1
5
3
1
2
2
4
3
9
6
2
4
8
3
13
4
3
3
0
6
4
2
2
2
2
1
5
1
2
3
2
4
2
3
1
2
3
5
1
3
5
0
5
4
3
4
1
1
5
2
4
6
3
2
4
4
4
5
5
2
7
3
1
3
3
3
4
3
3
1
4
0
0
3
2
2
3
5
1
4
1
7
0
1
0
3
0
2
2
2
5
10
1
2
2
3
1
1
9
3
5
5
5
3
3
1
2
8
5
5
3
3
2
2
12
4
5
2
6
0
1
0
2
5
3
3
5
1
3
25
5
2
2
3
3
2
6
4
6
11
7
4
2
3
6
3
1
2
2
1
0
3
3
2
1
4
4
8
2
5
2
5
7
7
17
4
2
3
4
5
6
1
3
1
7
1
2
4
2
5
3
3
5
1
2
1
3
8
3
0
12
2
11
4
16
4
3
2
3
4
4
1
1
3
2
5
1
4
1
2
8
2
7
1
5
0
3
2
5
3
4
1
1
2
6
1
2
8
12
1
2
2
3
4
7
2
7
2
2
1
1
4
6
1
1
2
2
4
2
4
3
0
5
5
13
1
2
2
3
3
9
12
2
4
1
1
3
1
4
2
2
5
3
3
2
1
4
4
2
2
3
4
1
2
4
2
4
4
5
4
2
4
3
1
1
7
0
2
9
0
2
1
2
7
5
5
1
3
22
2
0
4
2
4
2
4
2
1
2
4
1
2
1
2
1
3
4
0
2
1
5
9
3
0
1
0
3
2
1
3
1
3
3
2
2
2
12
4
1
8
5
2
2
1
8
4
2
5
2
1
2
8
3
2
20
10
2
3
2
5
2
5
10
7
2
1
1
2
1
2
10
0
8
4
1
3
7
5
3
1
3
15
1
5
2
9
7
6
6
3
7
3
1
1
3
3
2
3
2
4
5
3
5
4
0
2
5
2
2
1
2
2
4
2
15
1
9
2
7
8
9
5
1
4
8
2
1
4
2
4
2
2
12
2
2
4
1
3
2
0
0
6
5
0
4
3
9
6
2
3
4
4
1
0
8
9
8
1
2
1
0
3
11
7
1
2
2
3
2
0
1
2
2
4
2
3
5
1
1
0
1
7
8
4
4
6
4
3
4
3
7
10
7
0
15
3
2
1
12
5
0
2
12
4
5
1
0
8
3
1
3
1
2
5
3
6
2
4
5
5
3
2
7
2
4
3
0
3
4
5
2
1
2
2
2
4
5
1
5
5
5
8
2
3
2
2
1
3
2
1
4
3
3
2
5
3
2
3
1
4
3
3
5
2
1
4
2
0
6
8
6
10
2
5
5
1
1
3
1
4
1
3
3
2
2
3
1
1
4
4
3
9
4
2
1
4
4
1
3
6
4
2
10
1
1
2
1
4
3
8
6
5
3
1
5
3
27
3
2
6
2
3
0
4
7
14
3
4
0
2
10
2
1
15
4
6
6
11
2
2
4
3
1
1
2
4
1
1
9
3
7
3
2
5
5
3
7
3
4
2
5
2
3
5
2
3
2
2
6
2
3
3
7
4
2
2
2
1
2
2
3
0
2
4
4
4
1
0
3
3
1
1
16
2
10
5
4
6
1
1
7
5
5
3
3
24
7
2
1
3
4
1
9
7
5
2
2
1
0
2
3
3
3
5
6
2
5
1
1
3
2
5
1
3
2
4
5
5
1
0
2
0
7
4
4
2
0
4
6
4
2
3
5
4
4
1
1
2
3
0
2
3
1
2
5
2
3
8
4
5
1
9
3
3
0
1
1
2
11
1
2
3
8
5
2
2
1
3
3
3
1
5
4
1
2
3
2
2
5
2
2
3
7
3
1
1
1
0
3
2
20
3
0
6
9
5
3
2
1
2
2
2
2
2
3
0
4
1
1
5
1
2
2
3
7
2
6
2
3
5
0
6
3
4
3
2
0
13
7
3
2
3
1
12
3
4
2
0
3
2
3
3
2
1
4
6
10
3
3
1
3
6
2
2
7
4
4
6
5
1
1
7
3
5
1
1
2
3
3
3
2
20
2
2
4
5
4
7
3
2
6
3
4
3
5
18
3
1
0
3
3
21
3
3
0
2
2
4
3
5
9
2
2
0
2
7
7
7
3
2
2
7
4
5
3
0
2
2
1
1
1
1
1
8
16
17
4
1
0
1
5
1
1
4
3
4
3
0
4
1
2
3
3
2
4
1
5
3
4
2
4
1
10
2
0
2
0
3
6
3
1
1
4
4
9
2
8
4
2
6
7
6
11
2
3
0
7
2
1
3
1
1
4
6
0
4
2
0
3
1
4
1
2
6
8
6
6
6
9
7
3
14
1
3
4
3
2
2
8
3
5
3
2
0
0
2
1
2
3
3
2
3
2
1
3
2
11
3
2
3
4
0
1
2
2
1
2
0
3
3
3
3
0
1
3
2
6
1
2
0
1
5
3
0
4
1
3
1
3
7
1
1
3
2
2
6
1
2
3
3
2
2
1
8
2
5
8
3
8
3
1
1
3
3
0
4
4
1
3
9
5
4
7
1
2
6
6
1
1
2
3
4
5
1
10
3
3
2
4
9
2
1
7
3
1
2
3
3
3
3
1
9
0
3
3
2
3
3
1
2
2
1
2
2
2
4
4
3
1
1
2
3
2
4
1
1
12
2
1
8
9
1
3
1
0
1
2
7
3
2
3
4
4
6
3
2
3
2
1
6
1
4
3
1
2
1
1
10
5
2
6
3
0
7
4
6
1
1
2
3
4
1
3
4
0
0
2
3
2
11
8
2
2
1
0
6
2
2
5
4
3
3
3
2
1
1
2
5
1
2
3
0
2
1
5
4
16
3
10
5
1
0
2
3
10
1
0
2
5
3
2
2
3
0
4
2
4
6
0
2
3
5
1
0
3
4
7
4
3
14
11
2
10
0
1
4
2
5
2
4
2
4
7
5
12
0
2
6
3
2
1
3
2
6
2
0
2
15
6
3
2
3
3
5
4
3
5
2
4
2
8
3
1
9
2
2
6
3
6
4
3
9
7
0
2
1
3
3
1
2
1
0
3
3
2
3
7
2
5
2
0
1
3
3
2
2
1
2
7
2
5
4
5
4
3
2
0
2
4
3
1
1
1
3
2
3
0
3
6
1
3
4
2
7
2
6
1
0
5
9
3
1
5
17
4
2
2
1
1
1
6
3
2
7
1
0
1
2
7
2
5
3
4
2
4
1
3
2
1
3
1
2
5
1
1
9
0
5
1
1
3
2
3
4
0
3
3
3
1
3
4
2
1
3
5
4
8
3
7
4
0
4
2
1
3
5
7
4
11
0
1
2
3
1
3
4
5
0
10
4
1
1
4
0
3
0
1
2
4
1
6
3
1
4
1
6
8
3
2
2
4
4
1
3
5
6
4
1
3
7
3
4
3
0
1
1
3
4
0
15
3
0
4
1
3
7
7
4
3
0
3
1
0
3
4
3
2
1
1
2
2
1
3
6
1
3
1
2
5
6
3
13
10
1
0
4
0
0
2
2
4
1
2
0
2
3
4
4
1
3
3
4
0
3
1
2
4
3
2
6
6
8
4
1
9
4
0
2
0
7
0
2
3
3
3
2
4
2
3
1
6
4
3
5
2
1
5
0
3
3
2
4
0
6
0
0
2
2
2
0
3
2
3
3
3
1
2
0
0
2
7
1
1
2
5
3
2
3
2
3
7
5
4
2
2
2
4
3
4
4
2
7
18
2
2
2
1
0
3
7
5
2
4
2
2
8
8
3
7
0
3
1
1
5
8
5
0
2
0
8
12
2
4
1
5
3
3
6
1
0
2
3
6
1
4
1
15
2
4
2
3
6
2
1
1
0
2
2
2
1
2
2
2
1
3
1
4
5
4
3
5
14
2
1
1
1
2
4
7
1
1
5
1
2
2
3
5
3
4
3
4
7
2
3
6
10
1
3
1
2
4
2
2
3
2
3
11
1
2
4
1
2
7
1
3
0
4
4
4
2
2
2
0
5
3
5
2
2
1
3
3
4
11
2
0
1
2
6
3
3
3
2
2
2
1
0
3
4
3
0
2
2
2
3
2
4
4
9
2
2
3
2
5
2
5
0
5
3
3
2
3
5
5
4
0
0
6
5
5
2
0
7
1
1
5
14
2
4
1
1
2
2
5
2
2
3
4
10
3
2
1
1
4
1
3
1
4
2
7
4
1
2
3
2
2
11
2
6
1
1
2
8
0
1
3
2
3
8
2
4
3
2
7
2
2
2
4
7
1
7
3
3
3
1
3
3
1
5
2
2
0
4
4
1
1
2
0
5
4
16
3
2
4
1
3
3
0
4
0
1
3
2
2
8
3
2
4
3
3
2
2
1
0
16
1
1
1
3
2
3
1
7
3
1
5
2
1
2
2
0
3
6
1
3
2
4
3
5
0
2
6
3
2
9
1
3
3
0
2
7
2
4
1
2
5
3
3
3
2
1
4
6
1
1
0
3
2
2
0
4
3
3
0
3
2
3
10
1
0
2
2
3
4
3
17
2
4
3
3
1
3
5
5
1
3
2
2
12
2
0
0
2
6
3
3
1
2
2
2
3
11
8
4
2
3
1
4
1
1
3
1
3
6
1
4
3
0
1
3
1
6
2
2
2
5
2
1
5
6
2
2
0
4
2
3
1
4
2
0
1
1
3
0
10
3
5
2
1
1
3
4
3
3
9
4
2
2
1
4
4
4
2
0
0
3
1
1
3
1
1
2
1
2
3
3
2
2
1
3
5
1
1
4
3
15
3
1
1
1
4
3
1
1
4
1
2
5
2
3
2
3
1
3
1
2
1
0
11
4
3
6
5
6
3
6
2
3
4
4
2
2
3
5
6
1
3
2
4
2
1
3
5
7
4
7
3
14
1
2
2
0
1
3
2
7
4
6
2
3
5
1
5
2
1
3
7
2
6
2
4
3
2
0
4
1
2
3
0
2
2
1
12
1
2
7
1
1
2
2
2
0
0
3
4
1
5
2
1
1
3
2
1
2
1
3
5
9
1
5
1
4
2
0
5
2
2
3
2
7
0
3
3
3
3
2
2
1
2
0
5
2
1
2
4
1
2
2
0
1
4
3
3
0
1
10
3
1
13
4
2
3
2
5
1
3
2
3
2
1
2
2
3
4
4
7
15
4
8
1
2
5
2
3
9
3
3
3
1
1
4
1
1
5
1
2
5
9
2
5
2
1
4
2
2
1
0
2
3
1
1
3
2
3
3
3
4
2
4
1
6
0
1
5
0
2
2
1
4
3
3
3
8
5
2
3
3
3
2
8
4
0
11
2
21
4
5
4
4
6
8
4
2
1
1
3
2
1
2
4
0
2
2
3
3
4
16
1
2
1
3
7
4
3
1
3
2
3
1
3
3
3
2
2
1
3
2
3
3
7
2
7
0
6
3
4
3
0
14
2
12
2
5
4
2
3
2
2
3
1
2
2
3
2
4
2
3
6
9
3
1
1
8
2
3
2
2
0
8
4
1
10
6
5
4
2
4
2
1
7
2
1
4
4
3
2
3
5
10
3
4
4
3
1
2
6
3
4
3
2
8
3
4
9
3
2
3
1
1
4
0
2
2
0
4
2
0
0
2
0
3
2
3
2
3
3
0
3
3
4
2
4
2
11
1
8
1
3
4
3
1
1
2
6
2
3
5
9
3
3
4
3
1
10
2
0
3
2
3
2
1
2
3
3
8
3
5
1
0
2
1
4
3
1
4
7
3
0
2
4
2
0
3
1
3
4
0
1
4
2
0
2
4
5
3
3
1
7
1
1
6
3
4
2
0
1
3
1
0
1
2
3
1
5
2
0
3
2
1
3
7
0
10
0
1
4
2
2
3
3
5
2
6
1
5
1
2
3
2
2
1
2
6
4
4
2
6
2
10
3
2
4
1
4
1
1
2
2
3
1
2
0
0
1
4
1
3
1
2
1
0
4
3
0
1
2
1
3
2
2
3
2
2
2
1
1
6
6
3
10
1
0
1
3
1
1
5
3
2
2
9
4
4
6
2
3
3
1
1
1
2
2
0
4
3
9
2
6
2
1
0
0
4
0
0
3
3
4
3
1
2
3
3
2
3
1
9
4
2
4
0
2
2
2
2
0
4
2
1
4
0
6
2
1
1
4
6
4
2
3
2
1
2
2
2
2
1
1
1
3
4
6
4
4
4
1
2
1
1
4
4
2
2
1
2
4
1
2
3
2
1
10
3
3
3
1
1
0
1
4
4
3
0
1
4
1
9
1
5
0
6
1
1
2
0
2
2
1
5
3
1
2
2
3
0
1
2
3
1
3
1
4
1
2
1
2
0
3
2
14
1
2
1
3
1
0
2
9
2
2
2
3
1
1
2
4
5
2
0
1
0
15
0
3
4
2
4
1
1
2
3
1
2
15
5
2
1
3
1
4
1
1
1
3
5
3
0
1
2
7
1
4
0
3
1
8
3
2
6
0
17
0
1
2
0
2
1
4
2
3
2
4
1
2
1
3
2
3
4
2
1
2
3
2
4
2
0
6
1
2
2
2
3
8
3
1
3
3
6
1
2
2
1
7
3
2
0
2
10
1
6
2
1
0
2
4
0
2
1
1
1
1
2
4
3
0
1
3
3
1
3
3
5
4
2
1
4
2
2
4
3
1
4
3
2
5
2
3
2
0
6
2
3
0
2
4
5
4
2
4
3
4
3
1
2
2
3
5
5
3
4
2
0
1
2
3
3
3
4
0
1
4
3
2
2
1
4
10
0
0
4
0
0
2
1
2
2
1
4
3
1
2
3
2
1
1
3
3
0
1
2
2
2
1
1
2
2
0
1
0
2
0
3
1
1
0
2
0
4
3
1
2
11
2
8
12
3
1
1
1
2
5
1
5
2
2
4
3
1
1
2
1
1
3
1
1
0
1
2
2
3
3
1
2
0
7
2
2
2
1
2
2
1
11
3
0
2
1
3
0
2
1
1
3
2
2
1
3
3
2
2
7
6
4
3
1
1
6
4
2
1
2
2
4
2
2
1
4
11
5
5
0
2
0
3
6
0
2
2
2
3
4
1
2
8
2
3
6
3
1
3
3
1
0
1
1
3
2
0
2
4
2
1
3
5
0
5
2
8
1
0
4
28
1
2
2
2
1
3
1
5
1
4
2
2
1
21
2
4
3
0
0
4
5
3
3
2
2
1
7
3
4
2
2
2
2
3
1
2
0
4
1
5
5
0
2
2
1
2
1
3
2
6
1
6
4
2
2
2
2
2
1
4
5
1
3
4
5
0
1
2
3
2
6
1
2
4
2
3
2
2
1
1
4
10
5
1
0
3
3
1
10
1
3
1
1
2
3
0
1
0
1
3
3
2
1
6
1
2
1
1
9
1
0
3
3
1
0
2
3
1
0
2
3
2
2
1
0
0
3
2
2
1
4
3
3
7
2
3
4
3
0
0
1
2
1
1
3
3
3
4
2
1
1
2
1
1
1
1
2
3
5
7
1
1
3
1
0
2
1
3
5
1
1
0
1
3
0
3
0
1
3
3
4
4
1
0
1
1
1
5
1
5
2
4
2
0
2
3
5
2
3
2
0
5
1
3
4
1
1
1
3
2
1
1
3
2
4
2
4
2
2
4
5
2
2
1
3
2
10
3
0
9
3
0
3
2
2
4
2
4
3
4
1
3
0
1
3
3
1
7
4
0
1
11
2
1
2
2
4
2
1
3
1
3
5
0
3
3
3
3
3
0
1
6
2
3
2
0
4
1
2
1
4
2
0
1
2
11
4
3
0
3
3
3
1
0
5
1
7
3
1
5
1
3
1
2
3
0
0
4
8
0
4
3
2
4
3
1
2
7
3
4
4
10
7
1
5
2
2
0
1
2
2
2
12
4
4
1
1
2
6
2
2
1
1
3
3
0
3
3
2
1
11
3
1
8
4
2
1
11
4
2
2
1
2
13
0
2
0
6
1
3
0
0
2
3
1
0
9
1
0
1
3
3
4
0
2
2
5
3
2
1
4
1
2
2
4
2
4
2
1
1
2
0
14
5
0
3
2
7
2
1
1
1
1
1
1
4
2
0
0
5
3
0
1
13
1
4
0
1
1
2
0
4
3
3
1
2
3
3
14
0
0
1
0
3
4
0
1
4
2
2
1
3
4
1
0
2
0
2
2
1
3
0
16
2
3
4
1
3
2
1
1
4
0
1
1
4
1
0
2
5
8
4
4
0
0
2
1
0
0
1
2
1
2
0
2
14
3
4
1
2
2
1
3
1
4
1
2
1
3
2
2
3
5
4
0
4
2
2
6
1
2
3
2
6
3
2
3
4
3
2
2
2
2
1
1
5
0
2
5
0
2
2
0
2
2
1
1
1
6
0
2
1
1
2
5
1
2
2
2
2
2
1
2
1
2
1
2
2
0
1
3
1
1
1
1
18
2
0
3
3
0
5
2
1
5
1
1
2
1
0
0
1
0
0
3
5
0
2
1
5
5
2
5
6
1
2
1
2
14
4
1
2
2
2
2
3
4
2
4
2
1
1
0
1
4
4
2
6
3
4
2
1
3
2
1
2
2
2
1
1
3
2
1
4
5
0
5
2
13
8
1
4
1
0
2
3
1
2
3
0
4
0
12
5
0
0
2
2
2
4
2
1
3
4
2
2
3
0
1
2
4
0
2
7
1
2
2
2
1
5
3
1
1
5
0
2
2
4
0
0
3
1
2
3
2
0
1
0
2
4
1
1
2
3
2
1
1
9
1
6
2
0
0
3
0
2
2
3
2
0
2
1
1
4
3
1
7
3
2
1
1
1
3
1
3
1
3
2
1
2
0
6
2
0
2
5
3
1
2
0
0
0
10
2
3
0
2
3
2
0
1
1
1
2
1
0
2
2
1
1
3
4
0
1
1
0
3
0
1
9
1
4
3
3
2
9
3
5
2
1
2
3
6
13
6
2
0
4
2
1
3
1
1
2
5
1
3
5
3
4
0
9
2
6
2
0
2
2
2
3
9
1
4
2
1
2
3
1
6
1
1
1
1
0
2
4
2
1
9
1
2
1
5
2
0
2
4
3
2
2
1
3
0
2
3
2
1
5
2
1
1
1
1
3
3
6
3
1
0
1
2
1
2
10
1
2
5
1
1
0
1
1
1
0
4
1
3
3
4
3
1
2
2
0
5
1
7
4
1
4
2
2
1
0
7
3
4
3
4
1
1
1
0
0
1
0
6
3
0
1
2
0
3
0
1
0
2
3
0
3
25
3
2
0
1
2
2
1
3
1
0
0
3
1
3
3
2
1
2
2
0
3
2
2
3
1
1
1
1
1
1
8
2
0
4
4
2
0
4
5
1
1
2
0
0
8
1
0
2
2
3
0
1
4
2
5
1
8
0
1
0
2
2
0
2
1
0
1
1
2
3
0
1
2
4
5
3
2
2
0
2
4
2
1
7
2
2
1
3
1
1
4
9
0
2
7
3
10
3
1
2
0
1
1
1
4
0
0
1
3
0
0
2
2
1
5
0
2
1
2
1
3
1
1
4
1
4
1
3
1
7
8
4
2
2
0
2
1
2
2
2
3
0
4
2
7
5
3
4
6
2
1
7
1
0
1
1
2
2
2
2
6
1
0
1
0
3
1
1
3
2
1
2
2
0
3
1
2
11
4
7
4
2
3
3
2
2
4
1
1
2
3
3
1
3
9
4
1
2
3
2
0
0
2
3
6
8
1
1
2
1
1
3
4
0
2
8
5
4
0
2
0
4
2
1
6
0
3
3
4
3
0
2
1
9
5
3
1
1
1
1
0
0
2
1
2
1
0
2
3
4
8
1
3
0
0
4
2
0
0
1
1
2
2
1
7
2
2
0
1
1
7
0
1
1
2
3
0
0
1
5
0
1
2
3
2
1
1
6
0
2
4
1
1
5
2
2
1
0
1
1
2
4
1
2
3
1
1
0
2
3
0
3
5
5
3
1
9
3
0
3
4
1
0
1
1
2
1
14
1
2
1
2
1
4
1
2
3
1
6
7
2
5
1
5
0
2
4
0
5
6
3
4
9
3
1
2
3
10
4
2
3
2
2
4
1
1
2
3
0
1
0
2
0
0
2
7
1
4
1
1
2
3
0
1
0
5
4
1
2
3
0
7
1
1
1
1
1
0
0
3
0
1
0
3
2
1
1
1
9
4
9
0
6
1
1
11
3
3
2
4
1
3
2
0
6
3
1
5
0
2
2
1
2
3
3
3
1
2
0
3
3
0
3
0
0
4
4
2
0
1
7
1
1
3
1
5
1
2
1
1
2
1
2
3
4
0
1
3
1
2
8
1
1
2
5
0
0
1
2
1
1
1
0
4
3
1
0
2
5
1
3
13
4
5
3
3
1
1
2
4
3
4
4
0
0
6
8
0
2
1
4
14
2
2
4
2
17
2
3
6
2
3
0
2
2
2
1
2
2
1
0
3
1
1
7
2
1
1
3
1
0
0
1
4
3
3
4
11
2
1
0
4
2
0
1
8
4
1
0
2
4
3
1
3
2
0
3
1
0
4
1
0
4
0
0
5
1
5
7
1
1
11
6
4
2
7
1
6
1
1
2
2
1
2
2
0
7
1
2
2
7
0
3
2
1
0
1
3
5
0
4
2
0
2
6
4
5
2
5
1
2
1
1
1
5
0
2
1
1
2
5
2
2
3
3
2
2
1
5
0
0
1
2
1
8
1
2
1
4
2
0
2
1
4
5
4
4
2
1
2
10
1
4
2
4
1
1
1
3
2
2
2
2
4
2
2
4
1
1
3
5
1
1
1
3
3
1
1
1
0
1
2
1
2
4
8
8
1
1
1
14
0
1
1
2
0
3
2
0
1
2
2
2
1
6
4
2
0
2
3
2
9
7
1
4
1
3
3
0
2
2
0
9
1
3
1
5
6
1
0
7
6
7
1
2
1
3
0
5
0
1
5
2
0
0
0
1
1
2
4
1
2
3
3
19
4
3
0
0
2
8
3
5
4
1
4
2
5
0
0
3
2
1
0
7
0
3
2
0
3
2
2
3
1
3
3
2
5
1
7
3
1
3
2
2
2
2
2
2
0
1
1
1
2
2
0
1
19
2
1
2
2
2
1
6
2
6
3
2
4
0
0
1
3
2
3
1
5
4
1
1
5
1
1
0
7
2
2
1
0
0
1
0
0
0
0
1
1
1
2
7
0
2
3
1
4
3
2
5
1
6
2
4
0
1
5
11
2
2
1
3
9
3
1
4
6
3
6
1
6
4
3
7
3
1
12
1
1
2
5
4
0
3
0
2
2
5
2
2
1
1
2
4
4
5
2
1
5
3
5
4
3
3
2
0
4
4
0
2
2
0
1
2
3
3
0
5
0
0
1
2
3
5
1
0
3
3
6
3
5
1
2
3
2
1
0
1
4
2
0
0
2
0
0
0
1
3
7
2
2
3
3
1
12
1
0
5
5
0
5
3
6
6
1
2
0
1
1
0
1
2
0
2
0
7
1
2
1
1
2
1
4
1
1
6
2
8
3
1
4
9
2
1
3
0
1
6
0
3
2
3
0
2
3
2
4
3
9
6
2
1
1
2
1
1
0
3
2
3
6
3
2
4
1
3
1
1
0
0
0
2
2
3
1
2
8
1
0
4
4
5
1
1
3
2
3
1
5
0
4
0
3
0
1
0
1
2
2
1
1
0
4
14
3
2
0
2
4
3
1
2
14
3
2
2
4
2
0
1
0
13
2
1
4
1
0
4
1
1
1
0
1
0
0
0
3
0
1
2
2
5
0
1
4
4
2
6
3
3
3
4
2
0
2
4
2
4
0
3
2
1
0
2
1
2
4
0
1
1
1
1
1
1
1
11
4
0
0
1
2
1
3
1
1
6
0
2
0
1
1
2
2
1
3
5
2
2
4
1
1
1
0
2
5
1
3
0
1
2
3
2
1
7
2
1
2
1
0
0
3
1
3
3
9
1
1
1
0
2
3
1
0
2
2
2
2
1
0
1
0
3
3
3
2
2
3
5
1
0
0
3
2
2
1
0
1
2
2
0
2
2
0
4
2
2
4
3
10
4
0
2
2
2
1
3
1
4
3
0
0
0
0
1
2
4
1
2
3
0
4
5
2
1
0
1
0
0
2
2
0
2
9
8
1
3
2
3
0
1
3
1
2
0
4
1
2
2
0
8
2
0
2
2
3
3
7
2
1
1
1
1
1
1
3
3
0
19
0
3
1
2
5
3
2
1
2
0
4
3
0
0
4
7
1
4
1
0
1
0
1
1
0
2
1
4
1
1
1
1
1
0
1
3
1
3
1
1
1
2
2
5
0
2
1
2
3
1
1
1
0
1
1
2
0
3
4
2
9
3
3
1
2
1
3
3
2
1
2
1
4
1
1
1
1
0
4
0
1
2
9
0
3
2
1
1
1
0
3
4
2
5
4
0
0
3
1
2
14
5
5
1
2
2
1
6
1
1
0
2
2
0
0
1
3
5
1
3
4
0
5
2
3
3
3
7
2
1
1
2
1
1
6
4
1
0
2
2
0
3
3
1
1
0
1
5
2
0
4
14
3
5
4
2
2
5
2
22
5
1
0
1
1
2
2
3
2
0
0
0
1
3
1
8
2
0
5
1
0
1
2
0
2
0
0
1
3
0
3
2
2
1
3
0
1
3
0
0
2
0
0
0
3
1
2
1
3
0
3
0
0
0
2
2
3
2
2
1
2
0
2
3
10
3
1
3
2
1
6
19
0
1
1
2
0
2
1
2
1
0
5
6
2
3
7
1
0
2
1
6
2
2
5
2
1
2
1
1
1
1
2
1
1
1
1
0
1
8
3
1
2
1
1
1
1
6
6
5
2
2
0
0
7
1
3
3
0
1
1
1
0
2
3
2
5
8
0
2
1
1
0
1
2
1
0
0
2
3
0
2
11
1
0
3
1
2
1
2
1
1
5
5
2
1
1
2
5
2
0
1
4
4
4
2
5
4
1
1
1
3
1
2
3
3
1
1
2
2
2
10
2
2
3
1
3
1
0
1
7
0
2
7
0
1
3
0
0
1
0
0
5
3
4
0
2
1
0
1
3
3
1
0
1
6
4
2
0
2
2
4
3
0
0
3
2
1
1
3
0
1
1
2
3
1
7
3
0
2
0
0
1
1
1
2
5
0
0
0
1
0
1
3
2
0
0
0
2
3
1
2
2
2
0
3
0
3
2
2
3
4
3
1
1
3
1
24
3
2
2
1
2
1
8
0
4
3
4
3
6
3
3
3
1
4
1
2
0
3
3
0
0
0
1
1
2
4
0
1
1
1
1
2
2
1
4
1
1
2
2
2
0
3
2
1
0
1
3
1
1
1
2
3
1
5
1
0
1
1
1
2
1
1
4
2
4
1
1
3
0
2
4
0
3
0
3
0
3
3
13
1
1
2
3
2
0
0
2
1
1
0
1
0
1
2
1
1
1
3
1
4
4
1
2
3
1
5
4
3
1
3
1
2
3
4
6
3
1
3
1
1
3
0
1
2
0
2
1
2
2
1
1
4
1
3
1
2
1
0
2
4
0
1
2
3
2
1
1
5
4
2
2
1
2
1
1
3
2
0
1
1
3
1
2
3
1
2
1
2
0
0
4
0
0
1
0
1
5
4
0
4
0
3
1
0
0
3
1
0
2
1
1
2
1
1
3
2
1
5
1
1
2
0
2
12
2
2
0
1
4
2
1
2
1
0
1
10
1
3
3
5
0
11
1
0
0
0
2
1
0
2
1
2
3
0
2
3
0
0
0
1
5
2
2
2
0
2
3
0
1
0
1
2
3
7
3
1
0
4
2
2
0
4
0
10
1
2
0
2
0
2
1
4
2
5
1
6
2
1
3
0
3
0
3
3
1
3
2
2
0
0
1
3
1
2
1
1
4
1
2
6
2
1
1
2
1
3
1
1
1
2
3
0
2
0
3
0
1
1
0
3
1
1
1
0
1
0
0
1
2
2
1
1
2
4
3
3
1
2
2
1
3
2
1
5
2
1
2
0
1
4
2
0
0
0
0
0
0
2
2
0
3
1
2
1
1
4
2
3
1
1
0
2
3
4
4
4
0
8
14
1
2
1
4
1
2
1
2
2
2
0
3
0
3
3
4
0
3
1
1
0
1
1
0
1
1
0
3
1
1
2
3
4
0
3
4
1
2
1
1
6
2
6
1
4
0
1
3
0
0
2
4
5
1
0
3
0
3
0
1
0
1
2
1
2
3
0
5
6
0
0
10
1
1
2
1
1
2
0
1
1
1
0
2
0
1
2
1
1
1
1
0
3
9
2
1
2
4
1
2
2
3
1
1
1
3
4
3
1
2
1
0
2
3
3
10
0
0
3
2
3
2
4
2
2
5
1
4
2
0
1
0
2
0
1
2
2
1
0
1
0
1
2
2
5
2
3
3
8
1
0
4
1
5
2
2
3
1
4
8
3
3
2
1
7
2
2
1
2
2
4
2
1
1
2
3
4
1
1
0
11
2
1
0
1
0
0
4
0
2
2
0
1
2
2
5
5
0
2
0
2
1
5
1
11
4
0
0
4
2
0
1
0
3
1
3
4
1
1
4
3
0
4
5
0
0
2
1
1
2
4
2
1
2
1
2
0
1
2
2
0
0
0
1
2
1
4
1
0
1
3
4
1
1
1
1
1
3
1
1
2
2
0
0
1
1
0
0
7
1
2
2
11
0
1
2
2
2
1
8
2
3
3
2
4
2
3
2
5
1
0
0
2
4
4
0
2
2
2
2
1
4
1
0
2
1
1
0
2
1
7
0
1
0
1
3
0
0
1
0
2
5
1
1
3
1
1
2
1
0
1
3
1
4
1
2
0
3
2
2
1
2
2
1
3
1
9
2
1
2
0
0
0
3
1
6
1
2
1
2
3
2
5
0
6
0
3
2
3
1
2
2
0
0
3
2
1
0
1
1
2
0
2
3
4
3
3
1
11
1
3
1
6
3
1
2
1
2
1
9
1
1
1
1
2
1
4
4
3
2
1
3
3
2
2
1
1
1
2
1
4
6
2
7
4
2
1
3
0
3
1
0
1
1
1
4
2
1
1
2
0
8
0
1
1
0
2
3
1
4
2
1
0
1
10
0
1
1
0
3
2
4
3
2
0
0
2
2
4
0
2
0
1
5
1
0
1
0
1
0
3
2
4
3
0
0
3
3
2
0
0
6
3
0
0
3
3
2
6
3
1
1
3
2
0
3
2
1
2
1
4
9
3
1
10
2
2
1
1
1
2
1
1
1
1
1
2
0
12
0
0
5
4
12
0
3
2
2
1
3
3
5
4
8
3
1
1
3
2
0
2
2
0
1
1
1
2
1
0
1
0
0
3
4
5
3
9
2
0
1
2
3
0
4
2
2
3
2
1
1
1
3
10
1
2
0
3
2
11
1
2
0
0
2
1
2
2
0
1
2
0
0
4
3
3
2
3
1
1
2
0
3
4
2
0
2
3
1
0
4
2
1
2
3
1
0
1
1
0
1
1
1
2
1
0
5
2
2
2
5
1
2
2
1
2
1
1
0
10
1
0
2
4
0
1
3
2
1
1
0
1
2
1
0
1
2
4
1
3
1
4
1
1
3
0
1
1
1
0
4
1
0
0
3
2
1
1
0
2
0
3
3
1
3
1
1
2
0
0
0
17
3
2
0
2
1
3
1
1
2
0
0
2
0
1
3
1
2
0
2
2
5
0
2
2
9
2
1
3
1
2
1
0
1
3
3
1
3
2
3
1
4
1
0
3
2
1
1
3
2
2
3
0
3
2
1
2
2
7
4
1
1
5
2
0
3
0
5
1
1
2
7
3
2
1
3
2
2
0
5
1
3
3
5
2
1
1
2
1
2
3
1
3
1
1
0
3
2
1
1
2
1
3
3
1
1
2
1
8
2
0
0
1
0
1
0
5
2
2
2
3
1
1
2
4
3
2
0
0
1
0
1
4
3
2
3
0
4
0
1
0
2
1
1
0
4
1
4
1
2
0
0
0
1
1
3
0
2
1
0
0
2
2
1
1
3
1
0
0
1
3
0
1
3
1
1
0
0
2
2
2
1
0
2
1
0
0
0
1
7
0
0
0
1
1
2
2
3
1
1
1
1
2
1
4
2
1
0
3
0
2
3
0
8
5
4
2
0
2
0
2
0
1
3
1
2
1
2
2
3
1
0
1
7
2
2
3
9
0
3
1
13
4
0
3
1
0
3
2
3
1
1
3
2
2
2
2
1
3
16
1
1
0
3
2
1
1
0
3
3
0
0
1
2
2
5
2
2
0
13
3
0
1
3
3
3
7
2
1
1
1
2
1
1
5
1
1
3
4
0
0
1
0
2
2
0
0
2
6
1
1
0
1
3
0
1
1
0
0
1
1
2
0
1
2
1
2
1
1
0
3
1
2
0
0
2
4
2
1
1
1
6
0
5
2
3
2
1
1
8
0
3
1
1
3
7
2
0
1
3
0
1
2
4
3
0
2
3
1
1
1
3
2
1
2
1
0
2
3
0
1
2
4
0
0
1
0
1
2
3
7
0
1
4
1
1
1
3
2
5
0
1
3
2
0
5
2
4
3
3
6
10
4
11
1
6
3
0
1
0
1
2
2
1
2
5
4
2
2
0
2
1
4
1
1
1
1
8
5
3
1
8
2
2
5
0
0
3
0
1
1
0
3
4
2
4
0
2
0
2
1
1
3
1
3
3
15
1
5
0
1
1
1
3
1
2
0
4
0
1
2
1
4
4
1
2
0
1
2
0
0
2
1
0
0
1
1
2
1
2
2
3
1
1
1
0
5
2
1
2
7
1
1
1
5
0
2
1
2
0
3
5
0
2
3
1
4
1
1
2
2
1
1
3
1
0
2
0
1
0
2
1
9
2
2
1
0
3
3
1
1
2
8
1
1
2
1
11
1
1
0
1
4
2
5
1
0
1
5
0
0
2
14
2
1
1
7
2
1
1
0
2
0
20
4
1
3
1
3
1
2
0
2
1
1
0
1
0
1
1
1
2
2
2
6
4
1
0
4
0
1
0
8
3
0
0
1
0
11
0
3
5
2
2
0
1
0
1
1
16
1
0
3
1
0
1
1
0
2
3
1
2
3
2
3
0
1
2
4
0
2
1
8
1
1
2
1
1
2
3
1
4
1
0
0
1
0
1
3
0
2
4
3
1
1
2
13
1
5
3
1
3
0
0
1
1
0
0
2
1
0
1
1
3
3
1
0
3
1
0
2
2
0
0
2
1
1
1
2
2
0
1
2
5
1
0
1
1
2
1
1
1
4
1
1
1
3
0
2
2
5
2
2
1
0
1
2
1
3
2
1
4
2
5
1
0
3
3
2
1
1
1
2
1
0
0
12
2
0
2
3
0
2
3
2
2
1
1
1
4
4
5
1
2
3
3
0
2
3
2
1
2
0
5
6
2
0
0
0
2
1
2
0
0
0
1
0
1
1
0
3
1
1
1
1
0
1
1
4
2
2
1
1
2
0
4
0
0
0
6
3
3
3
0
3
3
2
1
5
3
1
0
0
7
0
2
4
1
2
1
4
1
4
3
1
2
1
1
0
2
2
0
1
2
0
2
3
0
2
1
1
0
2
1
2
1
0
1
1
2
0
1
2
1
0
3
0
7
3
1
0
0
2
0
4
1
8
1
3
1
2
3
2
0
4
3
2
2
2
0
3
0
1
0
1
5
3
2
0
3
2
0
1
1
0
1
1
1
5
1
2
0
0
1
5
2
0
4
0
2
1
0
1
1
1
2
2
2
2
3
1
1
2
1
5
5
10
16
2
4
0
1
3
1
0
2
3
2
3
0
0
0
1
7
0
1
2
1
1
4
1
0
0
1
5
0
0
0
1
2
1
0
3
0
4
1
2
2
1
1
3
1
0
1
3
4
2
2
2
17
0
6
2
1
0
1
3
1
0
0
1
2
0
0
1
5
1
4
1
3
1
0
3
2
0
6
1
0
0
0
1
0
1
3
1
1
1
0
3
4
0
1
0
2
1
4
5
3
4
1
0
4
1
4
9
1
0
0
0
1
1
4
2
2
1
4
2
9
0
2
0
5
6
1
3
2
1
13
2
7
0
1
3
0
0
4
1
12
1
0
8
2
2
2
0
1
5
2
1
1
1
2
1
0
7
0
7
8
0
0
2
1
1
5
0
4
1
0
1
3
1
2
1
2
0
0
3
0
0
0
0
0
1
2
3
0
0
1
2
1
0
2
4
0
0
2
2
0
1
1
0
2
0
0
3
1
0
1
1
1
1
0
1
1
3
2
0
3
0
0
2
3
1
2
1
4
2
0
1
3
1
1
1
2
1
0
2
2
1
0
2
2
1
0
3
3
1
2
1
6
0
1
1
0
2
3
2
0
2
1
1
2
3
1
1
0
0
2
1
1
0
6
2
1
2
6
1
0
1
0
0
1
2
3
2
2
2
0
0
2
9
2
0
0
1
1
3
1
1
1
2
1
7
2
2
2
2
2
1
0
2
1
2
2
2
2
1
1
3
0
1
1
1
2
3
1
0
1
0
0
0
4
3
3
6
0
1
1
9
4
7
0
1
1
2
1
0
2
1
2
4
2
1
0
3
0
2
2
0
2
1
1
1
2
3
3
2
10
2
1
1
0
1
0
2
0
2
0
3
1
0
4
0
1
0
3
1
3
2
1
1
1
1
1
0
17
3
1
1
0
3
1
2
1
5
0
2
3
1
3
3
1
3
1
1
1
1
0
1
2
0
5
1
0
1
1
5
2
2
1
3
5
0
1
0
1
2
1
0
0
2
3
2
0
2
4
1
2
0
2
0
2
3
4
1
3
4
6
3
2
1
1
2
2
2
0
0
0
2
0
2
0
0
2
1
0
4
3
1
2
4
7
2
2
1
3
4
2
1
2
1
2
0
11
1
2
1
6
1
2
2
4
1
0
1
3
1
1
0
0
2
5
0
8
2
5
5
2
1
0
1
0
0
3
2
6
0
4
5
1
1
1
1
9
1
2
2
2
3
2
3
2
1
1
0
0
1
0
0
0
5
2
2
0
0
3
0
1
0
0
0
3
0
4
2
0
4
5
2
0
2
1
1
0
1
0
1
2
5
8
1
2
1
0
2
0
1
8
0
3
0
2
2
0
2
2
0
2
1
11
3
3
2
3
0
1
2
1
1
4
0
3
4
0
4
0
1
1
2
1
1
2
3
1
15
1
1
1
15
1
1
2
1
1
1
1
0
2
5
2
0
7
2
1
4
7
2
0
3
1
3
2
0
0
12
0
0
3
1
0
0
0
2
0
3
3
2
1
0
1
3
2
2
3
2
6
0
1
2
1
2
0
0
2
1
2
2
2
2
2
5
1
0
2
0
2
1
1
2
3
1
0
3
1
0
1
2
2
8
0
0
2
2
1
3
2
1
4
1
1
1
1
0
2
1
2
1
1
1
0
1
4
0
0
8
0
1
0
3
3
1
2
1
0
4
0
1
4
2
0
1
1
1
2
0
1
0
11
3
1
2
1
0
2
0
2
2
1
2
2
2
1
2
0
0
0
1
2
1
1
2
0
1
2
0
1
2
0
2
1
0
1
1
0
1
1
1
2
0
4
0
0
4
19
1
2
1
4
2
1
0
2
3
1
7
1
0
0
1
10
0
1
2
1
1
5
1
1
3
0
1
0
3
3
4
2
3
6
2
0
5
0
0
0
2
0
3
1
1
1
0
1
4
2
2
1
0
1
2
1
1
2
1
0
0
1
1
2
1
3
2
3
0
2
1
12
1
3
1
4
0
7
2
3
1
1
0
2
0
3
20
3
0
5
1
1
0
0
1
0
0
2
1
3
2
0
1
1
3
0
2
8
7
2
2
2
1
0
6
1
3
3
3
1
1
2
10
0
1
2
0
5
1
2
7
1
1
1
1
2
0
1
0
3
1
1
3
0
1
0
1
3
4
0
0
0
2
2
1
1
1
0
1
0
1
1
1
2
0
0
0
1
2
4
0
1
3
5
1
2
1
1
0
2
1
3
3
0
1
0
2
3
2
1
0
4
1
1
1
3
0
0
1
5
0
1
1
0
0
1
0
6
0
4
1
3
4
1
1
3
4
2
0
0
4
2
1
1
4
0
1
0
3
1
0
2
0
1
0
1
3
6
2
0
0
0
0
1
8
1
1
0
1
0
0
9
2
0
1
1
1
6
2
2
2
5
0
1
1
1
2
0
2
1
1
0
0
0
2
0
1
1
2
3
2
2
0
1
2
2
1
2
2
2
0
2
1
1
15
0
3
2
0
0
2
2
0
4
1
5
2
0
2
0
2
1
0
1
4
1
2
1
0
2
1
0
2
0
2
4
3
1
1
1
3
2
2
2
2
1
1
1
0
3
0
1
3
3
0
0
1
0
0
3
15
2
1
1
2
0
3
2
0
1
1
0
0
3
0
10
0
0
2
3
2
0
2
2
1
0
0
2
1
1
2
0
2
1
1
1
2
4
1
1
3
4
2
1
2
3
1
1
2
1
1
3
2
3
0
1
2
1
2
1
1
3
1
1
2
2
1
1
0
4
0
1
2
0
0
2
1
2
2
0
3
2
2
1
1
3
0
0
0
6
1
0
1
1
1
2
1
1
3
0
0
2
1
2
1
3
0
3
4
0
2
1
1
1
3
1
4
2
1
6
2
0
3
0
0
3
1
0
2
1
0
3
0
4
0
0
4
1
1
0
9
1
2
0
2
1
2
1
1
2
2
1
8
1
0
0
1
1
3
0
0
3
3
0
3
0
1
2
1
2
2
0
1
4
2
2
3
3
2
0
1
1
0
1
4
2
2
0
2
1
4
3
2
0
2
2
3
1
0
4
2
3
0
4
2
0
0
2
1
1
3
0
3
0
4
0
3
0
2
4
0
1
0
1
1
1
1
1
0
1
2
3
1
0
1
9
0
1
3
0
1
1
0
1
2
0
0
2
1
1
4
6
4
0
0
2
0
1
2
1
1
3
2
0
0
7
2
1
4
13
1
2
3
1
3
1
3
1
2
2
1
0
1
7
3
3
2
4
1
0
1
3
0
3
2
0
1
0
5
0
3
2
2
0
0
0
2
0
0
2
2
0
1
0
3
2
2
2
2
3
2
1
1
0
6
1
0
1
4
1
2
0
0
0
3
3
0
1
0
1
1
3
1
0
0
0
0
1
1
3
0
0
0
0
5
3
0
2
1
1
0
1
2
1
1
1
1
3
2
1
1
1
2
2
1
0
1
1
3
0
2
1
0
0
1
1
3
0
1
1
0
2
1
2
0
0
2
0
2
1
1
1
1
2
1
3
4
0
1
3
6
1
3
10
2
1
2
0
1
0
0
1
1
3
4
1
3
3
1
0
0
1
1
1
0
0
1
2
2
3
2
1
2
7
11
0
1
2
2
2
1
2
2
2
3
2
1
0
2
0
1
0
2
2
0
1
1
3
1
1
4
1
3
3
1
0
0
3
3
0
1
1
0
9
9
1
2
1
3
2
2
1
1
1
1
2
0
0
1
3
3
1
0
2
0
2
2
3
1
1
2
1
2
2
3
2
1
1
2
10
4
0
0
1
3
2
1
2
10
1
0
1
4
5
0
2
1
0
1
0
2
0
2
0
4
4
3
5
2
5
4
0
3
2
0
3
1
1
2
1
3
1
0
1
0
2
0
1
1
1
1
1
1
1
4
2
1
2
1
1
0
1
2
2
2
2
3
4
0
2
3
1
1
0
0
1
1
0
0
0
1
1
3
1
0
2
1
1
0
0
0
2
0
3
0
0
3
3
1
0
0
0
8
1
1
1
1
0
1
1
0
0
2
2
1
3
1
0
1
0
3
7
1
1
3
3
1
2
1
1
1
1
1
12
0
2
1
0
2
2
4
3
0
2
0
1
2
3
1
8
0
4
0
0
1
2
1
2
3
0
0
1
3
1
3
0
0
1
4
0
0
1
4
0
2
1
1
4
0
1
0
1
0
0
0
1
2
2
1
1
3
0
1
2
0
3
0
1
1
5
0
3
1
0
3
0
1
2
1
2
0
0
1
0
1
0
0
2
1
1
1
1
2
0
2
1
1
0
7
0
2
1
2
0
1
0
0
2
0
1
0
1
2
0
0
2
0
2
1
6
0
4
14
1
3
2
2
1
1
1
0
0
3
0
1
3
0
1
0
1
1
0
1
6
2
2
12
1
2
1
8
3
0
0
0
1
1
1
5
0
1
0
1
3
1
1
1
3
2
2
0
0
0
2
1
2
1
0
2
0
1
2
2
0
1
1
0
1
0
1
1
0
0
1
0
3
0
1
2
1
1
0
2
1
10
0
1
0
2
1
1
1
1
0
1
1
2
2
6
0
5
0
1
3
1
1
3
1
0
0
2
3
1
1
0
2
0
1
0
0
0
5
0
4
0
3
2
1
2
0
3
0
1
1
1
1
0
0
0
1
7
10
2
1
2
3
0
2
0
0
0
1
1
0
1
2
1
3
1
5
0
2
0
0
4
0
2
1
6
0
3
1
1
0
2
2
0
0
0
1
1
0
0
1
2
9
7
1
1
0
0
1
1
3
1
1
0
1
3
5
1
0
4
2
1
1
1
2
0
2
2
2
0
5
1
5
2
2
2
0
1
0
0
0
0
3
0
0
2
14
1
2
1
3
0
4
0
1
1
2
1
2
1
6
2
1
0
1
3
1
0
2
2
2
1
1
1
3
5
0
0
1
14
0
3
2
0
2
0
1
1
1
2
0
6
0
0
9
0
3
0
3
0
1
1
0
3
2
0
1
0
4
0
7
3
3
2
1
2
1
2
2
1
4
0
1
0
1
0
3
1
0
3
3
0
1
0
3
3
0
2
0
1
1
1
1
1
0
5
1
3
2
1
0
0
2
1
1
1
2
1
4
3
1
1
3
1
3
1
2
3
3
0
1
0
1
3
1
0
2
1
0
0
14
1
0
1
3
0
0
3
5
5
5
0
1
11
0
0
1
1
0
0
1
0
1
2
0
0
1
1
0
2
1
4
0
0
0
0
1
1
0
2
2
0
0
0
8
1
1
0
0
0
0
0
0
1
1
3
1
2
1
1
1
0
2
1
3
0
2
0
0
1
1
8
0
2
2
1
2
0
2
0
2
6
2
1
1
3
1
11
1
1
1
1
0
2
10
2
1
2
0
4
2
3
0
0
0
0
2
2
1
3
3
0
0
1
1
1
3
2
2
3
3
0
1
2
0
0
0
1
0
1
0
2
3
1
3
0
1
0
1
1
1
1
3
2
6
3
1
1
3
0
0
0
3
0
3
2
1
1
0
0
1
1
1
1
0
0
1
0
1
1
3
1
7
2
1
1
0
1
0
3
1
0
2
5
4
3
2
1
0
1
1
0
2
1
2
1
2
0
1
0
3
2
0
1
2
2
0
1
0
1
2
0
1
1
7
2
17
0
2
3
0
0
3
0
1
0
3
0
0
6
4
1
0
1
0
0
2
3
1
4
1
1
0
0
5
2
0
4
3
2
3
0
1
1
2
1
0
0
3
0
1
1
1
2
0
1
3
3
2
0
1
2
2
1
0
0
2
0
1
1
10
0
0
0
0
0
1
0
3
4
2
4
2
3
0
4
1
4
4
1
0
0
0
1
3
2
1
1
0
1
3
5
2
1
1
2
1
0
2
1
3
3
0
1
0
1
1
4
2
2
1
1
0
2
1
0
2
5
2
0
1
1
1
1
3
2
2
1
3
0
1
2
0
2
1
1
3
2
2
2
0
1
5
1
1
0
1
1
2
1
2
2
1
0
1
3
1
0
0
1
1
0
0
2
1
2
2
0
0
3
1
2
1
1
1
2
3
0
2
0
1
0
11
1
1
1
1
0
2
1
1
2
0
0
1
2
1
2
2
3
3
0
2
0
1
1
2
3
0
3
3
0
1
0
0
1
5
3
3
1
3
0
1
1
3
0
2
0
1
1
0
2
0
1
0
1
0
1
0
1
4
0
3
0
2
1
0
2
0
0
0
1
2
2
2
1
1
2
1
1
1
0
2
1
2
1
1
3
1
0
1
1
1
2
0
2
3
2
1
0
1
2
1
1
0
1
0
1
0
3
2
0
0
2
0
2
0
1
2
3
3
2
1
1
0
1
0
1
2
0
0
2
0
0
2
0
0
1
2
3
1
0
1
3
1
0
1
0
1
1
3
3
1
1
7
0
1
1
1
1
2
3
0
2
2
2
2
5
0
0
2
1
1
1
0
8
2
2
4
1
1
0
1
2
3
1
2
3
3
0
2
3
0
2
1
1
0
4
4
1
3
2
3
4
2
1
2
0
1
1
1
2
1
0
1
0
3
0
1
1
1
1
3
1
1
2
1
2
3
0
1
0
0
0
1
0
2
1
1
2
0
7
0
2
2
3
2
1
0
1
1
2
1
0
1
2
1
4
4
5
0
0
1
0
2
2
1
0
2
0
1
3
1
0
0
2
3
0
0
1
1
1
5
2
1
1
0
1
2
1
2
1
0
8
1
3
1
0
2
3
1
0
0
1
0
2
1
3
2
0
0
4
0
2
5
1
2
1
1
4
1
0
2
3
1
5
5
9
2
0
1
0
2
2
5
0
1
1
2
0
0
3
0
1
0
1
2
1
4
3
7
0
0
1
0
1
0
1
0
4
1
1
0
2
0
0
2
0
2
1
0
0
2
1
3
1
1
2
1
3
0
0
1
1
0
0
0
5
0
2
1
0
0
0
1
4
1
6
0
1
2
1
1
1
1
0
2
2
2
1
2
2
3
0
1
1
1
5
0
0
1
0
1
2
1
1
1
1
0
3
6
0
1
0
0
2
0
0
1
0
0
4
2
2
1
1
0
1
0
0
2
2
2
2
0
2
2
1
1
0
0
0
0
7
1
1
0
0
1
2
2
2
3
0
2
1
1
2
1
2
5
1
1
0
1
1
1
1
1
1
4
5
5
0
2
2
1
0
2
0
1
0
1
0
2
1
2
1
0
0
1
0
9
0
3
2
2
2
2
0
9
1
0
1
2
2
0
0
1
1
0
5
1
2
8
0
0
1
0
1
1
1
0
1
1
0
1
2
0
0
0
0
9
0
0
1
2
2
1
0
1
1
2
7
2
1
0
2
0
2
0
2
6
1
2
0
1
0
2
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
2
2
0
1
0
0
2
1
1
0
1
0
0
1
1
2
0
0
2
7
3
1
4
3
1
11
0
6
0
1
2
3
1
0
2
1
1
1
2
8
1
2
7
2
2
10
4
0
4
5
0
0
1
0
7
0
0
0
0
1
0
2
1
2
1
0
5
1
3
0
3
3
0
2
3
1
1
3
3
1
0
0
1
2
8
0
1
1
3
1
0
0
0
0
5
0
2
2
0
1
1
1
8
2
0
2
1
1
1
0
0
2
1
2
0
4
1
0
2
3
1
5
0
0
1
1
0
8
0
0
1
1
0
5
1
3
0
0
0
0
0
0
0
0
2
1
1
0
1
0
0
1
0
1
1
1
1
4
2
0
2
0
1
2
0
1
0
1
3
1
1
1
3
0
6
3
0
2
2
1
1
0
0
2
3
1
5
1
0
1
2
1
1
2
0
1
0
1
0
0
0
1
1
2
3
1
1
0
1
2
0
0
0
2
3
0
0
6
0
2
1
1
0
2
1
2
2
1
0
4
0
1
1
2
2
0
1
0
3
2
1
1
1
1
0
3
1
1
2
0
3
1
3
0
1
2
1
0
1
1
1
2
3
1
0
2
0
1
2
4
2
1
3
0
1
3
0
1
1
2
2
0
1
5
1
2
0
1
0
1
2
2
0
1
1
1
0
2
6
2
0
0
0
0
1
1
1
3
0
0
1
0
6
3
3
3
0
2
1
1
1
0
1
0
1
2
3
0
1
0
0
1
0
5
2
0
4
0
0
1
1
1
3
1
1
2
2
0
1
0
3
3
1
1
3
0
0
1
1
2
7
1
3
2
2
0
1
0
1
0
0
0
0
2
1
2
0
0
2
0
1
2
1
1
0
1
1
3
0
0
1
2
0
3
1
0
4
0
4
2
2
1
0
1
3
2
0
0
0
2
1
0
0
2
2
1
1
1
2
0
0
2
3
0
6
5
4
2
1
0
1
0
1
9
3
3
0
1
0
1
2
1
1
2
2
1
0
1
5
1
0
1
0
2
2
1
1
0
2
2
2
0
0
0
1
1
0
1
3
1
1
0
4
1
2
0
0
2
0
0
0
1
3
0
2
1
0
5
4
4
3
6
1
1
3
1
2
3
0
2
1
1
2
1
0
0
1
1
0
0
0
0
3
1
2
3
1
2
0
1
0
1
2
1
0
1
1
2
1
1
6
1
1
3
2
2
8
0
11
2
0
1
1
1
1
0
2
1
5
0
0
4
2
2
7
1
1
1
0
1
4
3
1
2
2
0
3
1
1
1
0
0
0
1
2
0
2
0
1
1
1
0
0
1
2
2
1
6
1
1
0
5
1
1
0
0
3
1
2
0
0
2
2
0
0
0
2
0
11
0
0
1
2
5
3
0
2
0
1
2
0
2
0
3
1
1
3
1
3
0
2
0
0
0
1
2
2
2
2
1
2
2
3
2
2
0
1
0
1
1
1
4
2
1
0
2
0
0
0
4
0
1
2
1
0
0
0
4
0
1
2
1
0
3
2
0
2
0
1
1
1
0
0
1
0
0
3
4
2
3
2
1
0
2
1
3
1
0
0
1
1
1
0
2
0
2
1
1
1
0
1
17
1
2
2
4
0
1
15
0
0
2
0
1
1
0
1
1
2
1
2
2
4
1
1
0
1
2
0
6
1
2
2
1
0
0
3
2
0
1
1
0
1
2
1
3
1
0
0
1
2
7
1
2
2
0
1
6
2
0
2
1
2
0
0
1
0
1
1
0
0
6
0
0
1
2
0
0
0
0
1
1
2
11
0
0
0
0
2
0
0
3
0
2
2
2
1
0
0
0
0
0
1
2
1
2
2
0
0
0
3
1
4
1
2
1
1
0
0
1
0
0
0
2
0
1
1
1
2
2
2
2
1
2
0
0
3
2
2
3
1
0
0
0
0
1
0
2
1
1
1
0
1
0
0
1
0
3
2
0
0
2
2
2
2
2
2
0
1
0
1
2
0
0
0
1
2
0
2
2
3
0
0
2
0
0
2
1
1
1
1
3
4
0
1
1
1
0
0
1
1
1
0
3
3
0
1
1
0
0
1
2
0
0
0
1
1
0
0
0
3
1
1
5
1
1
10
1
1
1
0
0
1
0
1
0
0
0
1
1
1
2
2
1
0
0
0
2
2
1
0
2
1
0
2
0
1
1
1
8
0
2
2
1
0
3
0
3
2
4
0
1
5
1
1
1
0
1
0
3
5
1
0
0
0
4
1
0
2
1
0
0
1
0
1
0
0
1
1
2
0
1
1
2
1
1
1
2
3
1
0
6
1
3
1
0
0
1
1
0
1
1
9
0
1
3
1
2
1
1
1
0
7
1
1
0
2
0
3
2
0
0
0
2
0
0
0
2
0
0
2
0
7
1
0
1
1
2
0
1
0
1
1
2
1
4
2
0
0
0
2
0
0
1
1
1
1
1
1
0
0
6
1
1
2
2
2
0
2
1
2
1
2
0
2
2
1
1
4
0
0
2
0
1
1
0
0
2
0
0
2
1
0
1
0
4
0
1
2
1
0
1
0
1
0
1
0
1
0
1
1
1
0
1
3
0
1
2
1
2
3
1
1
1
2
1
1
0
0
1
1
0
0
11
2
2
6
0
0
12
1
1
0
18
0
2
6
1
0
0
0
2
2
1
3
1
1
8
0
0
0
1
3
0
0
1
2
0
4
0
0
0
3
0
1
0
3
2
3
1
3
1
0
1
3
0
1
2
1
1
1
2
0
1
1
2
3
3
0
1
1
2
2
0
1
1
0
10
3
0
2
2
2
1
2
1
0
0
1
2
1
0
1
0
1
0
1
2
4
0
1
2
1
14
1
0
7
0
0
3
0
1
1
4
2
0
1
0
0
1
0
4
2
1
1
1
9
0
1
2
0
1
0
0
0
2
0
2
0
2
3
2
1
0
0
2
0
1
2
1
0
0
2
4
1
0
1
1
2
0
6
1
1
0
2
1
2
2
0
2
1
2
2
1
3
0
0
1
1
2
1
1
1
0
1
0
1
0
3
0
1
1
1
2
0
3
0
2
1
2
0
0
2
1
1
2
1
2
2
0
1
1
1
1
1
0
1
0
7
0
7
1
2
1
1
2
0
0
1
0
0
1
1
0
0
0
0
0
3
2
3
9
1
1
0
1
2
0
1
2
2
1
0
0
1
1
3
0
0
2
1
2
3
1
0
1
1
1
1
0
1
0
5
3
5
1
3
3
0
2
0
0
2
7
0
1
4
1
0
0
1
0
0
1
1
4
1
0
3
11
1
1
1
2
0
1
0
1
1
1
1
2
2
0
2
3
11
2
2
1
2
1
2
1
1
1
2
0
2
0
0
0
0
0
12
0
0
0
1
3
5
4
2
3
0
0
0
1
0
1
0
0
1
1
4
2
5
1
1
1
1
1
2
0
0
3
0
0
1
0
2
0
0
6
4
0
1
0
2
0
0
0
2
0
0
0
0
2
2
0
3
1
8
0
8
0
0
0
2
3
1
3
0
2
0
3
1
0
1
2
5
0
2
1
0
1
1
1
0
1
1
0
3
0
3
0
2
0
1
1
1
1
0
0
0
3
1
1
0
0
0
1
1
0
0
3
3
2
4
1
0
0
0
0
1
1
1
1
1
1
2
0
0
1
0
0
1
1
0
2
0
1
2
1
2
1
2
0
1
1
0
0
1
1
2
1
0
0
1
2
2
0
4
1
2
0
1
2
0
3
3
0
0
0
3
1
0
6
1
0
0
2
0
0
0
1
2
3
0
1
7
1
0
0
0
1
10
1
2
9
0
2
2
0
1
0
1
3
0
1
6
0
1
0
10
0
2
6
0
3
2
0
1
3
0
0
1
1
2
0
1
3
1
0
0
1
2
3
0
1
20
0
2
2
2
0
0
1
0
0
1
1
0
1
1
2
0
0
2
0
0
0
2
0
1
0
1
0
0
0
0
4
2
1
0
2
0
4
0
1
0
0
1
0
2
2
1
1
1
2
1
0
6
0
3
1
6
3
1
0
0
1
2
3
1
2
0
2
0
0
0
1
1
3
0
2
1
1
0
3
0
2
0
0
1
2
1
0
2
0
2
0
0
1
1
1
0
0
0
3
1
2
2
1
2
0
0
0
1
2
2
1
3
0
4
0
0
1
1
10
0
1
2
1
2
0
3
0
0
0
0
0
2
0
0
3
0
3
2
6
0
6
0
0
0
0
1
2
2
1
2
1
0
0
4
0
0
2
3
3
1
1
1
0
0
7
1
3
0
5
9
1
1
0
7
1
2
0
0
0
1
3
1
1
2
1
1
1
1
1
0
0
0
2
2
1
1
0
0
2
5
2
0
2
1
0
1
1
1
1
0
1
4
1
2
1
1
2
1
1
1
1
4
0
0
0
5
2
2
0
0
0
1
0
0
0
0
0
4
1
4
0
2
1
1
1
1
1
0
0
1
2
1
0
0
1
0
2
0
1
1
0
1
1
0
2
0
0
1
1
1
0
1
0
1
1
0
1
4
5
0
0
0
0
0
2
2
1
2
1
0
1
3
0
2
0
0
1
1
2
1
0
0
1
3
0
1
0
1
1
0
1
0
5
11
10
1
1
1
0
0
0
0
0
0
0
1
0
1
1
2
2
5
0
0
2
2
4
0
4
7
1
2
0
2
0
0
1
0
3
0
1
1
4
0
0
0
0
0
6
1
1
1
2
0
12
0
0
1
0
9
0
4
1
1
0
1
2
1
0
3
2
1
4
0
1
2
0
2
0
0
4
1
2
4
6
0
3
0
1
0
2
1
4
2
0
0
2
2
0
0
3
1
3
1
0
5
3
0
0
1
0
1
2
0
1
0
0
2
2
0
0
0
1
0
1
0
1
1
2
3
0
0
0
2
1
0
0
1
1
2
1
1
1
1
0
0
3
1
7
1
1
1
0
0
1
0
1
0
0
0
2
1
0
2
4
0
1
1
1
3
1
2
0
0
3
11
7
1
2
1
1
0
1
0
0
1
1
0
0
1
0
1
0
1
1
2
1
0
1
1
0
1
1
0
0
1
1
3
2
2
2
2
1
0
1
10
0
11
0
1
1
2
1
1
0
1
1
2
1
10
2
5
0
3
1
0
2
0
2
1
0
1
1
0
2
1
0
0
1
1
1
1
1
2
2
1
1
2
0
1
2
2
3
0
1
0
2
1
0
1
1
8
0
1
1
0
0
1
1
1
0
0
0
3
2
3
1
1
1
3
2
0
1
3
0
0
1
0
2
1
3
1
1
1
0
0
0
2
1
1
1
3
0
0
0
0
2
0
0
1
0
0
0
1
0
3
1
0
2
0
2
0
2
0
0
0
1
0
0
1
0
1
4
0
1
1
0
1
0
0
2
2
4
1
3
0
1
0
1
2
1
1
1
0
4
0
2
0
0
2
1
0
2
0
1
2
1
1
0
0
1
2
2
0
0
1
0
2
0
2
1
1
4
2
0
2
0
2
0
2
1
0
1
1
0
2
1
0
2
1
0
1
1
0
0
6
3
5
1
8
0
2
2
2
3
0
5
0
1
0
5
2
0
0
0
1
3
1
1
0
0
1
0
2
1
2
2
0
2
2
0
1
0
0
2
1
2
1
6
1
1
1
2
1
1
2
9
2
0
0
0
2
0
2
1
1
2
1
1
0
0
1
1
0
1
3
0
7
3
1
0
1
0
0
2
2
1
0
2
1
0
2
2
0
0
0
1
0
0
0
1
1
0
0
1
4
6
0
0
0
1
0
1
5
0
0
0
0
15
1
0
2
1
1
0
1
1
0
1
1
5
0
2
3
1
0
0
0
2
1
1
0
2
2
2
0
0
0
1
0
1
2
4
1
2
1
0
2
1
1
1
0
2
1
2
1
1
0
1
2
1
1
1
1
1
2
3
0
6
3
2
1
1
0
0
0
2
0
1
1
0
1
1
3
0
0
0
5
3
1
9
0
1
1
0
0
0
7
1
0
2
1
2
2
1
0
1
1
2
0
0
2
1
2
1
1
2
0
0
2
0
1
1
2
1
1
2
0
0
0
1
0
7
2
0
2
0
5
1
0
1
3
2
0
0
0
0
1
2
1
1
2
6
1
0
3
0
2
2
1
0
1
1
0
0
1
0
0
1
0
2
1
1
2
3
3
4
0
1
1
3
0
1
1
1
2
2
0
0
2
1
2
0
1
2
0
1
2
1
0
1
2
1
0
1
2
1
0
1
2
0
2
1
0
0
1
3
0
4
1
0
2
1
0
1
0
0
0
2
1
2
0
2
0
1
0
0
0
2
0
1
0
2
0
1
1
2
1
1
3
2
0
0
0
1
2
1
0
0
0
1
2
1
1
0
1
2
2
1
1
7
1
1
2
0
1
3
3
0
0
3
0
1
1
1
2
1
1
0
0
1
4
1
2
1
1
0
0
5
3
3
1
3
0
2
1
0
1
0
1
9
0
0
0
2
2
2
2
0
1
0
2
0
1
1
0
0
2
1
0
4
0
4
0
0
0
1
2
2
1
1
2
0
1
0
0
1
0
1
1
1
2
2
0
1
4
7
1
0
2
2
2
1
2
0
0
2
2
0
1
0
3
1
4
1
2
1
1
1
0
1
1
0
6
8
0
1
2
1
0
1
1
0
1
5
2
0
1
0
0
0
0
2
1
3
1
1
1
0
1
1
2
1
1
8
3
0
2
1
0
0
0
0
1
0
1
1
1
0
0
1
1
0
1
2
0
1
0
2
0
2
1
1
2
0
2
0
0
3
0
5
0
0
2
0
0
2
1
2
0
0
1
3
0
0
1
0
3
0
1
8
1
1
1
1
2
0
2
0
2
0
2
2
1
0
0
0
0
2
0
0
0
2
1
1
0
1
5
0
2
0
0
4
0
0
1
2
1
1
0
0
1
1
0
1
4
2
1
0
4
0
9
1
4
0
2
1
0
0
0
0
2
5
0
1
1
1
5
1
1
0
0
0
0
5
1
0
0
0
0
4
1
0
1
2
1
2
11
4
1
1
1
1
0
1
0
0
2
0
3
0
1
0
1
1
0
2
2
1
1
1
2
1
1
9
2
0
4
1
0
4
1
4
1
2
0
1
1
0
1
0
0
2
1
0
0
1
0
1
6
3
0
0
2
3
1
1
0
0
1
2
2
1
0
1
2
0
1
1
4
3
2
0
13
1
0
9
1
1
2
1
0
1
8
0
0
1
0
1
2
1
1
1
0
5
10
2
1
2
1
3
12
1
1
3
0
1
0
3
0
1
0
2
0
0
0
1
0
1
3
4
0
0
1
0
1
0
5
2
2
0
2
1
1
3
1
4
2
0
0
1
0
1
0
1
1
2
1
2
1
1
0
0
0
1
0
1
1
0
0
1
3
0
8
1
3
7
0
2
7
0
1
10
1
2
0
1
1
0
0
2
3
1
0
0
3
0
2
2
13
1
0
1
1
0
0
2
3
1
2
8
0
1
1
0
1
3
1
2
0
1
0
1
1
0
2
0
0
2
1
1
0
0
1
0
2
0
1
0
1
1
0
1
4
0
0
3
1
1
0
2
0
3
0
1
2
1
0
0
0
0
1
1
7
0
3
0
1
0
4
1
2
0
1
0
0
0
1
0
6
2
0
0
0
0
1
0
1
2
1
0
1
0
0
0
2
1
0
2
1
1
1
0
4
0
1
0
0
0
3
0
0
8
1
2
0
2
1
1
0
2
1
1
2
2
0
1
1
0
0
2
1
0
0
1
1
7
0
1
1
2
0
0
4
1
3
2
2
2
1
2
0
1
2
0
4
0
1
0
0
0
8
1
0
2
0
0
1
4
0
0
1
1
0
1
0
0
1
1
0
0
0
1
0
1
1
1
0
1
0
0
1
5
1
1
1
0
2
3
1
1
2
0
1
2
1
0
2
0
1
1
0
0
1
2
1
0
0
0
2
7
1
1
1
0
1
1
1
1
1
1
1
0
1
0
0
0
2
2
0
0
0
0
2
1
1
1
0
1
0
2
0
5
0
0
0
0
1
0
3
2
0
1
0
1
0
2
1
16
0
0
0
1
1
1
1
4
1
1
1
1
0
1
0
1
0
0
1
0
0
2
0
1
1
1
1
2
1
0
0
0
0
0
1
1
4
2
1
0
1
7
1
3
0
2
1
0
0
0
1
12
2
0
1
0
0
2
3
0
4
0
1
0
1
2
3
0
0
6
0
0
2
2
0
1
1
1
0
0
1
0
1
0
1
1
0
0
1
2
0
0
3
0
0
7
1
2
1
0
2
3
2
1
0
0
2
0
0
0
2
2
3
0
2
0
0
0
0
3
2
1
1
2
3
0
3
0
1
0
1
0
1
0
1
2
0
1
1
1
0
1
3
0
2
0
3
0
1
0
1
0
2
1
1
1
1
1
0
1
0
2
1
1
2
0
1
0
1
0
1
2
0
0
0
0
1
1
2
1
0
2
1
0
0
0
1
0
4
0
0
2
1
1
4
0
0
1
2
4
7
0
3
2
0
0
0
0
1
0
2
1
2
0
1
3
1
1
1
2
0
3
0
0
0
0
7
1
1
1
0
2
1
1
0
0
3
1
0
2
0
0
1
0
10
0
0
1
0
0
1
4
1
0
2
0
1
0
1
2
0
1
2
1
1
1
1
0
1
0
0
0
1
1
2
1
1
1
2
1
1
3
2
2
1
1
1
2
1
1
8
2
4
0
0
3
0
0
0
2
0
0
0
5
1
1
0
3
2
1
1
1
1
0
0
0
1
0
0
5
0
1
0
0
1
1
1
0
5
0
2
0
0
0
2
0
2
0
2
3
0
1
0
0
2
2
2
0
1
2
0
0
0
1
1
0
1
1
1
1
1
0
0
2
0
2
3
2
0
4
1
0
0
1
0
0
0
0
1
2
1
0
1
1
1
0
9
1
1
0
0
1
0
0
0
3
0
2
1
0
1
0
1
0
0
10
0
2
2
0
0
3
3
1
1
0
1
0
1
1
1
1
1
1
0
4
0
0
3
0
0
3
1
4
0
1
4
0
3
1
0
1
2
2
1
1
0
0
0
4
2
2
8
1
0
1
2
1
1
1
0
5
0
0
0
1
0
0
1
2
0
5
0
2
1
1
2
0
1
1
1
0
0
1
2
1
0
0
0
0
0
0
2
2
0
1
1
0
0
1
0
1
0
0
3
1
3
0
0
0
0
5
1
0
3
2
0
0
1
1
0
3
0
0
0
6
0
2
3
0
0
0
1
1
0
1
1
1
2
1
0
1
4
0
3
5
0
1
2
0
0
0
0
0
2
2
0
5
1
0
0
1
0
1
1
2
1
0
1
1
1
0
0
1
0
2
1
0
1
2
0
1
0
1
2
0
0
2
1
2
0
4
1
0
0
2
1
0
0
2
0
3
1
0
1
0
1
0
5
1
0
1
0
0
0
3
1
0
1
1
1
2
1
3
0
1
0
0
1
0
3
1
1
2
0
1
0
1
3
0
0
0
8
0
0
0
3
0
0
0
1
0
1
6
1
0
0
2
12
0
1
2
2
0
1
2
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
1
1
2
0
4
1
2
1
0
0
0
1
1
2
0
4
1
1
2
1
1
0
7
0
0
0
2
0
9
2
0
1
0
1
2
4
0
5
1
1
0
1
2
0
1
0
1
0
0
1
0
0
1
1
1
1
0
0
2
2
2
1
0
0
0
0
0
0
2
0
0
0
2
10
0
1
1
0
3
0
2
0
1
0
2
0
1
4
1
0
1
3
3
0
1
2
1
0
4
0
2
3
1
2
1
1
0
1
0
0
1
0
0
1
0
8
1
4
1
1
0
2
1
1
1
2
0
2
2
0
0
2
2
2
0
0
3
0
1
0
0
0
1
0
1
1
3
0
0
0
1
6
1
1
0
2
3
1
17
0
1
2
1
1
2
0
0
0
0
1
1
1
1
0
1
2
2
2
0
1
0
2
0
0
0
1
1
2
0
0
1
4
0
2
2
2
1
1
1
3
12
1
0
1
0
0
1
0
2
1
0
1
0
2
0
2
0
0
0
2
0
0
2
0
1
0
0
1
0
0
1
1
4
1
0
0
0
0
2
1
1
0
0
2
4
0
1
4
0
1
1
1
0
0
0
1
1
1
0
1
0
0
0
1
1
1
1
1
1
0
0
0
0
0
1
0
2
2
4
0
0
0
0
0
1
4
0
11
6
1
1
1
0
0
1
0
6
1
1
0
0
0
0
1
1
2
2
1
0
2
0
2
2
0
2
0
2
1
0
0
1
2
1
0
0
0
2
3
1
1
1
1
1
3
0
0
2
1
2
1
2
0
1
0
3
1
1
2
2
0
1
0
1
2
1
2
2
2
2
1
0
2
0
0
1
1
1
2
0
2
7
3
1
2
0
0
1
2
1
3
1
0
2
0
1
2
0
0
0
0
0
1
1
1
1
2
1
2
0
1
1
0
0
1
1
0
0
1
0
0
1
1
0
1
0
1
1
1
0
0
3
0
1
0
0
0
2
0
0
0
0
1
0
2
0
1
0
2
1
6
3
0
2
1
2
1
1
0
0
0
0
2
1
1
1
1
1
0
6
1
0
0
0
0
2
1
0
1
0
0
0
0
0
0
1
1
1
0
1
1
1
2
14
1
1
0
0
0
0
3
1
2
0
0
4
1
1
0
10
2
3
8
2
1
4
1
3
1
1
3
1
0
1
1
0
1
1
1
3
2
0
1
1
0
3
0
0
0
0
2
1
0
3
0
0
0
2
0
2
0
1
2
0
0
1
4
1
1
0
9
1
0
1
0
0
0
2
2
1
1
3
1
1
0
0
0
0
0
1
3
2
1
0
1
1
0
2
1
1
0
7
1
1
1
0
1
0
0
3
0
0
0
0
1
0
0
2
0
5
1
5
1
0
0
0
1
1
0
3
1
1
0
0
0
0
1
1
2
0
2
2
1
0
1
1
2
0
0
0
0
1
1
0
1
1
1
2
6
0
1
0
1
1
0
0
0
0
2
0
0
1
1
0
0
2
0
1
0
1
1
0
2
1
0
0
4
0
1
0
0
1
0
2
0
2
0
1
0
1
0
0
0
1
0
0
1
2
0
1
0
10
0
3
1
0
0
0
0
0
0
1
0
0
0
2
3
1
0
13
1
0
0
1
0
0
0
1
1
0
7
0
1
2
1
0
1
1
0
2
0
0
1
1
4
0
1
1
1
1
0
1
0
0
0
0
1
0
0
0
1
2
3
0
0
0
0
1
0
1
0
0
1
1
1
1
0
1
2
0
2
0
3
0
0
1
0
1
2
3
1
1
1
0
0
1
3
0
0
1
1
1
1
0
2
1
0
0
2
9
0
1
1
1
1
1
5
1
0
1
0
1
0
1
1
1
0
2
0
0
2
1
0
1
1
0
1
1
1
0
2
6
1
0
0
0
2
1
0
2
0
1
0
0
0
3
1
1
0
1
0
1
1
0
0
0
0
0
1
0
0
1
2
0
2
4
1
1
1
0
2
0
0
6
0
0
2
1
3
0
1
0
1
0
2
0
2
1
2
0
13
0
1
1
0
7
2
1
0
1
6
0
1
0
0
0
0
0
0
1
1
1
1
1
0
1
6
0
0
2
1
1
0
1
1
4
1
1
0
0
1
0
0
0
0
0
1
3
1
0
2
2
0
1
0
0
0
0
0
2
1
1
1
0
1
0
0
0
1
1
8
1
1
0
0
0
0
1
1
2
1
1
0
2
1
3
1
1
4
0
0
1
1
2
1
0
2
1
0
1
0
0
2
0
1
1
1
0
1
0
1
1
3
0
1
1
3
1
0
0
0
0
0
1
0
1
2
0
1
3
0
2
0
3
4
0
2
3
1
1
0
0
1
1
0
0
0
0
4
0
1
2
0
0
2
2
3
5
0
0
2
2
2
1
2
2
2
0
1
4
2
0
0
0
0
1
1
0
0
1
0
1
1
1
1
0
1
1
0
1
1
2
2
0
1
1
0
0
0
2
1
0
1
0
2
1
1
2
3
0
2
0
3
1
1
1
2
2
0
0
3
1
2
4
2
0
1
0
1
3
0
1
1
0
1
1
1
1
0
1
0
0
1
1
5
0
0
1
2
0
0
0
1
2
0
1
0
4
1
0
1
0
1
0
1
5
15
0
2
0
0
2
0
2
1
0
0
0
3
2
0
1
2
1
0
0
3
0
1
1
2
0
0
0
5
1
0
1
1
0
0
0
1
0
0
0
2
2
1
1
2
2
2
1
2
0
1
2
0
0
0
2
0
0
0
0
2
0
1
1
3
0
4
1
3
1
2
4
0
0
2
0
0
0
0
0
1
0
2
0
0
1
1
0
0
1
0
0
2
1
1
0
2
0
0
1
1
1
2
2
1
0
2
0
1
0
0
0
2
1
0
1
0
2
0
0
2
0
1
2
1
0
1
1
0
0
1
1
4
0
1
17
1
0
0
2
1
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
3
1
0
0
0
1
0
1
2
1
2
1
0
0
2
1
1
0
1
0
1
1
0
1
2
1
1
4
0
0
1
0
0
0
0
2
1
1
0
0
1
1
1
0
0
1
4
0
0
0
1
0
3
26
0
0
0
0
0
0
0
3
0
1
1
2
2
0
1
2
0
2
1
1
0
1
0
1
2
1
1
0
1
0
2
0
0
0
6
0
1
1
0
0
1
0
1
1
1
0
0
0
6
1
0
1
0
0
0
0
1
1
0
0
0
0
0
7
1
1
2
0
1
1
1
4
1
1
0
0
2
1
1
1
3
0
4
0
0
2
1
0
0
0
2
1
1
1
1
3
1
0
1
0
1
0
0
1
0
2
3
0
3
1
2
0
1
6
1
3
0
2
0
1
0
1
3
2
0
0
2
1
4
0
1
1
1
1
0
1
1
2
0
8
1
1
0
1
3
0
0
11
2
0
0
0
0
1
0
0
1
1
2
8
0
1
0
1
1
2
3
2
0
1
1
0
2
0
0
0
1
1
1
1
0
2
1
3
0
0
1
5
0
0
0
1
0
1
1
1
0
2
1
3
0
0
5
3
0
0
1
0
1
1
0
0
2
0
0
0
0
0
0
2
1
2
1
0
2
0
0
0
0
0
0
1
4
0
0
2
0
0
1
2
1
0
1
1
1
0
1
0
3
0
0
0
1
1
1
0
0
1
0
1
0
0
2
2
0
1
1
0
0
4
0
2
6
0
1
1
2
4
1
1
2
0
0
2
0
0
0
0
0
0
0
0
1
2
4
1
3
0
0
0
0
1
1
0
1
1
0
1
1
0
0
0
1
0
0
1
0
2
3
5
2
1
0
2
1
1
6
1
0
0
0
1
0
1
0
0
0
0
3
1
0
0
4
0
0
1
1
2
0
1
2
6
0
0
1
6
0
0
0
1
1
3
1
2
2
6
0
2
1
0
2
1
4
1
1
0
2
1
2
0
1
0
2
0
1
0
2
0
0
2
1
1
2
7
2
0
1
2
2
1
0
1
1
0
0
0
0
0
2
1
1
0
4
1
2
2
1
1
3
3
0
0
0
1
2
1
1
2
0
0
2
0
1
1
3
0
2
1
1
1
0
1
0
1
0
3
0
1
1
0
1
2
1
0
5
5
1
2
1
0
0
1
1
0
0
0
1
3
1
1
1
1
1
1
4
1
0
0
1
0
2
0
1
0
1
2
1
0
2
1
4
1
0
0
2
1
0
0
3
3
1
0
0
2
1
0
0
2
1
0
4
0
1
4
1
0
0
1
0
2
2
0
1
3
2
0
0
0
0
0
2
1
0
1
2
1
3
0
1
0
2
2
1
2
0
0
0
0
3
2
1
1
1
1
0
1
1
0
7
0
1
2
0
1
2
0
0
0
1
0
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
0
0
0
1
1
2
4
1
0
2
0
0
1
2
2
2
2
0
1
1
0
0
0
1
2
1
6
1
8
0
0
0
2
0
0
0
0
0
0
2
0
3
0
2
2
1
9
0
1
1
1
1
1
1
0
0
3
1
1
3
2
0
1
4
2
2
2
3
0
1
1
0
0
0
2
1
0
0
0
1
0
1
0
1
0
0
1
1
0
3
0
0
1
0
0
3
2
0
2
0
0
0
0
0
0
0
0
2
16
0
0
0
1
0
1
1
1
2
1
1
1
1
1
0
5
1
0
1
3
0
1
0
0
0
1
0
1
0
6
1
1
0
2
2
0
1
0
1
0
2
0
0
0
0
0
1
1
2
0
1
0
1
1
0
4
0
1
1
0
1
0
0
0
1
0
0
1
2
1
1
2
2
1
1
2
2
0
2
0
2
0
1
0
0
0
4
0
1
0
1
1
0
1
0
1
2
3
2
2
0
1
2
0
0
0
0
2
0
0
1
1
0
1
1
1
1
0
2
1
1
1
0
1
0
0
1
1
0
2
0
0
0
0
2
1
0
0
1
0
1
0
1
1
0
0
1
0
0
7
0
1
0
0
0
0
2
0
0
0
1
0
1
1
1
4
1
0
1
1
0
2
0
0
0
0
1
0
0
1
3
2
0
0
1
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
0
0
1
1
1
2
0
1
1
0
1
0
2
2
1
2
0
0
1
1
0
0
0
0
1
1
0
1
1
2
1
2
0
1
1
1
1
1
1
0
1
3
5
0
0
1
2
1
2
0
0
0
1
1
1
1
9
2
0
1
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
1
1
1
0
1
1
1
1
0
0
1
1
0
1
1
1
2
0
1
1
1
4
1
0
2
0
0
2
0
1
0
0
1
1
2
1
1
1
3
1
1
1
2
2
1
1
0
1
2
1
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
1
2
0
0
1
11
1
3
2
0
1
0
0
0
0
3
0
1
1
6
0
0
0
1
5
1
0
0
0
2
0
2
0
0
1
2
0
2
0
0
0
0
2
0
0
1
0
0
0
2
2
2
0
1
1
4
0
1
0
0
2
0
0
0
0
1
1
0
1
0
1
0
0
0
2
0
0
0
0
0
0
2
2
0
0
0
1
1
2
0
1
0
0
1
5
0
1
1
0
0
1
10
0
0
0
0
1
1
2
1
0
0
0
2
1
0
1
1
0
3
0
0
0
1
4
0
0
0
0
0
0
1
0
0
0
2
1
1
0
0
0
0
0
0
1
0
0
3
1
0
0
1
2
1
1
1
2
0
0
1
2
2
4
0
2
1
1
1
1
1
2
3
0
0
1
0
0
1
0
7
1
1
2
1
0
0
0
0
2
1
1
0
0
1
0
1
0
1
0
0
6
0
4
1
1
1
3
1
1
0
1
1
1
0
0
2
0
2
1
1
0
0
0
1
0
0
0
0
1
1
0
1
1
0
0
0
1
3
0
0
0
1
1
1
0
0
0
2
3
0
0
0
0
0
0
2
0
0
0
2
0
0
0
3
1
0
1
1
2
3
1
0
2
1
1
2
0
0
1
3
0
0
0
0
0
0
1
0
1
0
0
0
0
0
3
0
1
1
2
0
0
0
1
0
0
1
0
0
1
1
1
16
1
0
0
1
0
1
1
1
0
1
0
1
1
0
2
1
0
0
0
0
0
2
0
1
0
2
1
1
0
1
0
2
1
3
0
1
0
1
0
0
0
1
0
0
0
0
0
2
1
4
1
1
0
1
2
0
1
0
1
0
0
0
1
2
0
1
0
1
1
1
0
3
1
1
0
0
0
0
1
3
0
0
0
1
4
0
0
1
1
0
1
1
1
0
1
9
0
0
1
2
2
0
0
0
2
0
1
10
1
0
2
0
1
0
1
0
1
2
3
4
0
1
2
2
1
2
0
3
3
1
0
0
0
0
1
1
0
0
2
1
0
0
0
0
1
2
1
2
1
1
1
1
0
2
1
0
2
2
3
0
1
0
0
11
0
2
1
0
1
1
0
0
0
1
1
1
2
2
0
1
0
2
0
1
0
1
1
0
0
0
2
0
0
0
0
0
6
1
1
1
0
0
2
1
1
0
1
1
1
1
2
2
0
1
3
0
2
1
0
0
0
2
2
1
0
2
0
1
1
0
1
0
1
0
2
0
1
2
0
1
2
1
5
0
2
1
0
0
0
0
2
0
0
0
0
1
0
2
0
1
4
1
1
2
0
0
0
0
0
0
0
2
2
0
0
2
1
0
0
0
0
1
5
0
3
0
0
0
1
0
1
0
2
1
0
0
0
1
5
1
1
1
7
0
2
1
1
1
0
1
13
0
11
2
1
2
1
0
2
0
0
0
2
0
0
3
2
2
1
3
1
2
0
0
2
0
1
1
1
1
1
1
1
0
0
2
0
0
1
1
0
0
1
1
1
0
0
0
0
3
0
1
2
2
1
1
0
1
1
2
0
0
1
0
1
1
11
1
1
1
0
6
1
0
0
0
0
0
0
0
1
1
1
2
0
0
2
1
0
0
0
1
0
1
1
2
0
0
0
0
1
0
2
3
2
1
3
0
0
0
0
2
0
2
0
1
9
4
0
0
2
1
0
2
0
0
0
2
4
0
1
1
2
0
1
0
0
2
0
0
2
0
0
1
3
2
0
0
0
8
0
5
0
0
1
0
0
3
1
2
0
1
0
2
0
2
1
0
0
1
1
0
1
1
1
2
3
2
0
0
1
4
0
0
0
1
0
0
0
1
1
1
0
1
1
3
1
0
1
1
2
1
0
0
0
1
1
0
3
0
2
0
2
3
2
0
0
1
0
1
1
1
1
1
2
0
2
2
0
1
0
0
1
3
1
0
1
0
3
0
1
0
1
0
0
1
1
0
2
0
1
0
2
1
2
4
0
3
5
1
0
0
2
2
2
1
3
2
0
1
1
1
2
0
1
0
1
1
2
0
0
1
0
0
6
0
1
1
2
0
0
0
2
0
0
0
0
1
0
2
2
0
2
1
4
0
0
1
0
1
1
0
2
2
0
1
7
2
3
0
0
1
1
1
0
1
0
2
2
0
1
0
1
3
0
0
1
0
1
0
0
3
0
1
0
1
3
0
1
0
0
0
4
0
1
1
0
0
0
0
4
0
0
1
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
1
1
1
1
0
1
1
3
1
0
0
5
0
0
2
0
0
0
3
0
0
1
0
4
0
0
0
0
0
1
0
0
0
0
1
1
0
2
1
0
1
3
1
0
0
1
0
0
0
3
0
1
0
3
0
0
0
0
0
2
0
0
1
0
0
1
1
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
3
0
0
8
0
1
0
0
0
0
0
1
4
0
0
1
0
0
1
0
0
0
0
0
0
1
1
1
1
1
0
1
1
4
0
2
1
0
1
1
1
1
0
2
3
1
4
1
1
0
0
3
3
1
0
1
1
1
4
1
1
0
2
0
1
7
1
0
0
2
1
1
0
0
1
3
0
1
3
1
1
0
1
0
0
0
1
1
2
1
2
0
0
12
1
1
1
3
0
0
0
2
0
1
1
1
1
2
0
1
1
1
1
3
0
1
3
1
0
0
0
1
2
2
1
0
0
2
3
0
0
0
0
0
0
0
1
0
0
2
0
0
0
7
0
1
0
0
0
1
1
0
2
0
1
1
0
1
1
0
1
2
1
1
1
2
1
0
1
1
0
1
0
1
0
0
0
0
1
1
0
0
1
0
1
0
0
0
1
1
0
2
1
0
3
3
2
0
9
1
0
6
2
0
3
2
2
2
1
2
0
0
1
0
0
0
4
2
0
0
1
3
2
0
1
0
0
0
0
1
1
6
1
2
2
0
3
0
1
1
1
0
0
0
0
7
0
0
0
0
0
0
0
2
0
0
1
8
0
1
0
1
0
1
0
0
0
1
4
1
1
0
0
0
1
1
1
1
0
1
0
0
2
0
1
0
1
1
0
1
1
1
1
0
2
1
0
0
1
0
1
1
0
6
0
2
2
0
1
3
1
3
1
0
1
0
2
0
0
0
0
0
1
2
0
0
1
0
1
22
1
0
2
0
0
1
0
0
0
1
0
0
1
1
2
0
0
1
0
2
0
3
1
1
0
0
1
1
0
1
2
2
1
0
0
2
3
1
3
2
2
1
1
1
1
0
0
0
1
1
0
0
1
1
2
0
0
0
2
2
10
0
2
1
1
3
1
2
1
0
0
9
1
1
1
2
0
0
1
0
3
1
0
2
0
0
0
1
0
1
0
0
0
4
2
0
2
1
0
2
0
1
0
1
1
1
2
0
0
0
0
3
0
1
0
2
1
2
0
0
1
1
0
0
0
0
1
2
4
1
0
0
0
2
1
1
2
1
0
5
5
3
1
2
0
1
0
7
0
0
1
1
1
0
0
1
0
2
0
0
2
2
1
1
1
1
2
0
2
0
1
1
0
0
2
0
2
1
2
0
0
0
0
0
1
0
1
0
1
1
0
1
0
1
2
0
1
0
0
0
0
0
1
1
1
0
0
2
0
0
0
0
2
2
0
2
1
0
2
0
1
1
0
1
4
1
6
2
1
4
0
0
0
0
1
0
0
1
0
0
0
2
0
1
1
0
0
1
1
0
0
0
1
2
1
2
0
0
0
3
0
0
0
0
0
0
0
1
0
0
0
2
0
0
1
2
0
1
0
0
0
0
0
0
0
2
1
0
1
0
0
1
0
1
7
0
0
2
0
0
0
1
2
0
2
1
0
0
5
1
1
0
0
0
0
1
0
0
0
0
15
0
2
0
0
0
1
1
1
3
0
0
0
0
0
2
0
1
0
3
3
0
1
4
0
0
0
1
0
0
0
0
2
0
8
0
1
1
0
0
1
0
1
4
0
0
2
2
0
0
1
0
0
1
0
0
2
0
2
0
0
1
1
1
1
2
2
0
1
0
0
2
0
0
1
0
4
0
1
0
1
1
5
0
0
2
1
2
0
3
0
0
2
0
0
0
0
0
0
2
0
2
0
0
2
1
1
0
0
2
0
0
1
0
1
1
1
0
0
2
1
0
3
0
0
0
0
1
2
0
0
1
0
1
3
1
0
1
2
2
1
1
0
2
1
0
0
0
0
0
4
0
1
0
0
2
1
1
2
1
2
1
0
2
4
0
1
1
0
0
1
0
0
0
0
1
0
1
1
0
3
0
5
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
3
0
0
2
0
0
0
0
0
0
2
1
0
0
0
2
0
0
1
0
0
0
0
2
1
0
0
0
1
0
0
1
0
1
6
3
0
2
4
0
2
0
0
2
2
1
10
3
1
2
2
2
2
5
0
0
0
1
0
5
0
0
0
0
1
1
0
1
1
0
0
0
0
2
1
0
1
1
0
1
0
6
0
0
1
1
1
1
5
0
0
0
8
0
0
0
1
2
1
0
0
1
9
4
3
1
1
0
0
0
0
2
0
0
1
1
0
0
0
0
3
3
0
1
1
0
1
1
7
0
1
0
0
0
0
0
2
1
4
1
1
2
1
1
1
1
1
0
0
1
0
2
0
1
0
0
0
1
0
0
0
0
1
0
1
1
0
3
1
2
2
1
1
1
1
0
0
0
0
0
0
1
0
0
0
0
0
2
1
2
1
1
0
3
1
0
0
1
1
2
0
3
0
1
1
0
0
2
0
1
3
0
0
0
2
1
2
1
0
1
0
1
1
2
2
3
0
0
0
0
1
0
0
0
1
0
1
2
7
16
0
2
0
2
0
0
0
1
2
0
16
0
1
1
0
0
0
0
1
2
1
0
1
0
0
0
2
2
3
2
0
1
0
0
0
0
0
1
1
0
0
0
0
4
0
2
0
0
4
2
0
0
1
0
2
1
1
0
23
0
0
0
1
2
0
1
1
1
3
1
1
0
1
3
0
0
0
1
1
3
0
4
1
2
1
1
2
0
0
0
0
2
0
1
0
1
0
0
1
0
0
2
0
1
0
0
1
1
2
1
1
2
1
0
0
0
0
1
0
4
0
3
1
0
1
0
0
2
2
1
0
0
1
5
1
0
0
1
1
1
1
1
0
0
0
0
1
0
0
1
0
3
2
0
0
1
5
1
0
2
0
5
1
0
0
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
2
2
0
1
3
1
1
0
0
0
1
1
1
3
1
2
0
0
0
0
1
0
5
2
0
0
1
0
0
0
0
0
0
0
0
0
6
1
0
0
0
1
1
1
0
1
4
1
1
2
0
1
0
0
0
0
0
0
0
0
1
1
1
6
0
0
3
1
0
0
0
2
0
0
2
0
1
1
0
1
1
2
2
1
1
0
1
2
0
0
0
5
1
1
1
1
1
2
0
11
0
1
0
1
2
1
0
0
0
0
3
1
0
1
8
0
0
1
1
0
0
0
1
1
0
0
1
0
1
0
0
1
4
0
0
0
0
0
0
1
1
0
0
0
3
0
0
2
0
1
0
1
2
0
2
5
1
0
1
4
0
0
0
1
0
1
1
1
0
0
1
1
0
0
0
2
0
0
0
1
6
1
0
0
1
0
1
0
0
0
2
2
1
2
0
2
1
2
0
0
0
0
0
0
4
2
1
0
4
1
0
0
0
1
0
2
0
2
0
0
1
0
2
0
1
1
0
0
1
1
1
1
0
0
0
0
0
1
3
0
1
1
1
0
0
0
0
1
0
0
0
1
2
1
0
0
0
0
0
0
0
0
1
0
0
0
3
0
0
1
2
0
1
7
3
0
1
1
0
0
0
0
0
1
1
0
0
1
0
1
1
0
0
2
1
0
1
0
0
0
0
0
1
0
0
1
0
2
0
1
0
1
0
1
0
1
0
0
2
0
0
0
0
8
1
0
1
1
1
0
1
3
0
0
0
1
0
1
1
1
0
0
0
0
0
0
1
2
1
1
5
3
0
0
1
0
1
0
0
1
0
0
0
1
3
1
3
0
2
0
0
0
1
0
0
1
1
3
2
2
1
6
0
0
1
1
0
1
1
1
1
4
2
1
0
0
1
0
0
1
2
0
0
1
1
5
0
0
2
1
1
0
1
0
0
0
1
2
0
0
1
0
1
2
1
5
0
0
1
2
1
0
1
0
2
0
3
1
1
1
2
1
0
0
1
0
0
1
1
0
1
0
1
0
0
2
1
0
0
0
0
1
1
0
0
0
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
2
2
1
0
2
0
1
0
0
0
0
4
0
0
2
0
1
0
3
1
0
0
0
0
0
1
0
0
1
0
0
2
3
0
1
1
1
1
0
2
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
1
2
2
2
1
0
4
1
0
0
0
0
1
0
0
1
0
0
1
1
0
1
1
0
1
0
0
2
1
0
2
0
0
0
1
1
0
1
0
1
1
0
0
2
0
0
1
0
0
0
0
0
1
1
0
1
0
0
4
2
0
1
2
1
2
0
1
1
1
0
1
1
0
2
0
0
0
0
0
1
1
1
0
1
0
3
0
0
2
0
0
1
0
0
2
0
0
0
2
0
0
3
1
0
0
3
0
1
0
0
0
1
0
0
0
3
1
0
0
1
1
1
0
1
0
1
10
0
2
0
1
1
1
2
1
0
1
0
0
0
1
1
3
1
1
0
1
3
0
0
1
0
1
0
1
0
2
0
0
0
1
0
3
0
0
0
0
3
0
0
0
1
1
0
0
0
1
1
1
2
2
0
0
1
0
0
3
3
1
0
3
0
0
0
2
0
0
0
1
0
2
0
1
1
0
3
1
0
1
0
0
1
0
0
1
0
1
0
0
1
0
2
2
0
0
0
0
0
0
0
0
1
1
1
1
0
1
1
2
2
0
3
0
3
1
0
1
2
0
2
0
0
0
1
1
0
0
0
2
1
1
4
9
4
1
4
1
0
2
0
0
2
1
0
0
0
0
0
2
2
2
0
0
3
0
0
2
1
0
0
2
1
1
0
1
0
0
0
0
0
1
3
0
1
0
0
0
0
13
1
0
0
0
0
1
0
1
0
0
4
1
1
2
1
0
2
1
1
0
0
3
0
0
0
0
3
0
0
1
1
0
0
0
0
0
7
0
3
0
8
0
0
0
0
0
1
1
0
0
0
10
1
1
1
1
3
0
0
1
1
1
0
0
1
1
0
0
1
2
0
0
1
0
1
1
1
0
0
0
1
0
0
0
3
0
1
1
1
0
6
0
1
1
0
2
2
0
0
0
1
1
0
1
0
1
0
0
1
1
0
1
3
0
0
0
0
4
2
1
0
1
0
1
0
0
0
0
1
1
0
6
0
2
0
4
0
0
0
1
2
0
1
1
0
1
1
0
0
0
1
0
0
2
2
1
0
1
0
2
0
0
0
0
1
1
1
1
2
1
2
0
1
0
0
0
0
0
0
0
2
1
0
0
0
3
1
0
0
1
1
0
1
0
0
0
0
1
0
1
0
3
2
0
0
5
1
1
0
1
1
0
0
1
0
5
0
2
0
0
0
0
0
0
0
0
0
1
0
3
1
0
2
0
1
0
0
3
0
0
2
3
1
0
0
0
0
1
1
6
1
4
2
1
0
6
0
0
0
1
0
0
1
0
1
0
2
1
0
0
0
1
1
0
0
0
0
0
0
0
1
2
2
0
1
0
0
0
0
1
0
3
0
4
0
1
1
3
0
2
0
0
1
0
0
4
0
0
0
2
1
0
0
0
0
1
0
1
0
2
0
1
1
0
0
1
1
3
1
1
0
0
1
1
0
2
0
1
0
1
0
1
0
0
0
0
2
0
1
0
3
0
0
0
1
0
1
0
0
0
2
0
0
1
0
0
1
1
0
0
0
0
2
1
0
0
1
2
0
0
4
1
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
1
0
2
2
1
0
0
2
0
0
3
0
2
0
1
1
0
1
0
1
1
1
1
0
1
3
0
2
8
0
1
1
0
2
0
0
0
1
1
0
0
1
0
3
0
2
0
1
0
1
0
1
0
0
0
0
2
1
0
0
0
2
0
1
0
1
2
2
0
0
0
3
2
0
2
1
0
0
0
1
1
0
1
0
0
1
1
0
1
1
1
0
1
1
0
0
1
0
0
0
0
0
0
1
1
0
0
0
1
2
1
6
0
1
0
2
1
0
1
1
3
0
0
1
1
0
0
1
1
1
0
13
0
0
1
1
1
0
0
2
1
0
1
0
0
1
1
0
0
1
0
0
2
1
1
0
0
1
5
0
0
0
0
0
0
1
1
2
0
0
1
1
0
0
2
0
0
1
1
3
0
1
0
1
0
1
1
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
0
1
0
0
1
0
1
1
2
1
1
1
0
4
0
0
0
0
0
1
0
2
1
0
1
1
0
0
2
0
1
1
1
0
0
0
1
1
1
0
0
0
1
1
0
0
3
0
0
0
2
1
1
1
2
0
0
0
2
0
0
0
0
0
0
1
1
2
1
0
1
0
0
1
0
0
0
3
1
2
1
1
1
0
1
0
0
0
0
0
0
0
0
2
1
0
0
0
1
0
1
0
1
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
2
0
1
0
0
2
1
0
0
0
0
1
1
2
0
0
2
2
0
0
2
0
1
1
0
3
1
0
0
0
0
0
0
1
0
2
0
1
1
0
1
1
1
1
2
0
0
0
0
3
0
0
0
1
0
1
0
0
1
2
1
0
0
2
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
1
0
1
2
0
1
1
0
2
2
1
0
0
0
0
2
0
3
3
2
0
0
0
2
0
0
0
0
0
1
1
2
0
2
1
0
2
0
0
1
0
0
1
1
2
2
1
3
0
2
0
1
9
0
0
0
1
0
0
3
2
1
1
1
1
0
0
1
2
0
1
0
7
0
1
1
0
0
9
0
0
1
0
1
2
1
0
0
1
0
0
0
1
0
2
1
0
1
2
1
0
0
0
1
1
0
1
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
3
0
1
0
1
0
1
1
1
0
2
1
0
0
0
0
1
2
0
0
0
2
0
0
6
0
3
1
2
0
0
1
2
0
1
0
1
1
1
1
1
2
3
0
2
0
1
1
0
0
0
1
1
0
0
0
1
0
0
0
0
4
1
1
1
0
1
0
0
1
0
0
0
0
1
1
1
0
0
0
0
0
3
0
2
0
0
0
1
1
2
0
4
1
1
0
1
1
0
0
3
0
9
4
0
2
0
0
2
1
0
1
0
1
1
2
0
0
0
1
1
1
0
1
1
0
0
0
1
1
1
0
0
1
2
0
0
1
0
2
1
2
0
1
0
0
1
1
2
1
0
1
0
0
0
0
0
0
0
0
0
0
5
1
0
1
0
0
0
2
1
3
0
0
0
0
0
0
1
0
0
0
1
2
0
0
0
2
1
0
1
0
2
0
0
2
1
0
1
0
1
1
0
0
0
2
1
0
3
0
1
1
0
2
0
1
2
0
0
1
1
2
1
0
0
1
0
1
0
2
0
6
2
1
1
0
2
1
0
0
1
1
0
0
0
0
0
0
0
0
8
2
0
0
0
0
4
4
1
1
1
0
2
1
0
4
1
1
0
0
0
0
0
3
2
2
0
1
0
0
0
0
1
0
1
1
2
0
0
0
0
0
1
0
1
0
1
1
1
0
0
0
0
0
1
0
0
1
0
0
1
1
1
0
1
1
1
0
0
0
1
0
7
0
0
1
0
0
1
1
1
1
1
0
0
0
4
1
1
1
0
1
1
0
1
1
0
0
2
1
0
1
0
4
0
2
0
0
0
2
1
1
0
0
1
1
0
1
0
1
1
0
0
0
0
0
3
1
3
0
0
0
2
2
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
0
1
0
1
1
1
4
0
0
2
1
0
0
0
0
1
0
3
1
0
0
1
0
0
1
0
2
0
1
1
0
1
0
1
1
1
3
0
1
1
2
0
2
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
3
0
0
2
1
0
0
0
0
1
0
1
2
1
1
3
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
9
2
1
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
1
0
0
0
0
1
0
3
1
0
2
1
1
1
3
0
0
1
1
0
0
1
2
1
0
0
1
0
0
0
1
0
1
0
1
0
0
1
1
1
1
0
0
1
0
1
0
0
1
1
2
0
1
1
1
1
0
1
0
0
0
1
1
2
0
3
0
0
2
0
1
2
0
0
3
1
0
3
0
4
1
0
0
0
1
0
1
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
2
2
0
0
1
0
0
1
0
0
0
0
0
1
2
0
1
0
5
0
2
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
1
1
0
2
0
3
0
6
1
0
0
1
2
0
1
0
0
2
1
0
1
0
0
0
0
0
0
1
0
1
0
1
1
2
1
1
0
0
1
1
1
0
0
0
0
3
1
1
0
0
1
0
2
0
1
0
1
1
1
0
1
1
2
1
1
1
0
1
0
1
0
1
0
0
2
2
1
1
0
1
1
1
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
5
1
0
0
0
0
0
0
1
0
0
1
0
0
2
1
1
0
2
1
1
0
0
0
1
0
0
1
2
1
1
1
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
1
1
0
1
0
2
4
1
0
2
0
1
1
0
0
1
0
0
1
1
0
1
1
0
1
0
2
0
1
1
4
0
1
0
0
2
1
2
0
1
1
3
1
0
0
1
0
1
0
1
2
1
2
1
0
1
0
1
0
1
0
0
0
0
0
2
3
0
1
1
0
3
0
1
1
0
1
0
1
1
0
2
1
0
0
0
0
8
2
0
0
0
2
3
0
1
1
2
1
0
0
0
1
0
0
0
0
1
1
2
1
0
1
0
2
3
1
1
0
0
0
1
0
0
0
1
0
0
1
0
1
0
0
0
1
1
1
0
0
1
1
0
0
2
1
2
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
2
0
1
1
1
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
1
2
0
1
1
0
1
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
2
0
0
0
1
0
0
1
1
1
7
0
2
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
1
0
0
0
7
0
1
2
0
1
2
1
1
2
0
1
0
0
3
2
0
1
0
1
0
0
0
0
1
0
2
0
0
0
0
0
1
2
0
0
1
1
0
2
0
0
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
0
0
2
0
1
2
0
2
1
2
0
0
0
1
0
2
0
0
1
1
0
0
1
0
0
0
0
1
0
0
1
1
6
2
0
2
7
1
0
0
0
0
0
2
0
1
1
0
0
1
1
0
1
1
0
0
0
1
0
1
1
1
6
1
1
3
3
1
1
0
0
0
0
0
1
2
1
0
1
1
2
0
0
5
0
0
1
1
0
0
0
0
2
0
1
0
0
1
10
0
3
0
3
0
0
1
0
0
0
0
6
0
5
2
0
2
8
0
1
2
1
0
0
1
1
0
1
1
0
1
0
1
0
0
1
0
0
0
1
2
1
1
1
0
0
1
0
2
2
0
1
0
1
0
1
1
1
0
3
0
1
4
1
0
1
1
0
0
2
1
0
1
1
0
1
2
0
0
1
1
2
1
1
2
2
1
0
1
0
0
0
0
0
0
5
0
1
0
0
0
0
0
0
0
0
2
1
0
1
0
0
0
0
0
2
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
2
1
0
1
1
0
0
4
1
1
0
1
0
0
0
2
1
1
0
0
1
0
0
1
0
0
0
0
0
1
1
1
0
0
1
2
2
0
0
0
0
1
1
0
0
0
0
0
1
2
1
1
1
0
0
1
0
0
2
0
1
1
0
1
0
0
1
0
0
0
0
1
0
0
2
0
0
0
0
1
1
2
6
1
0
0
2
1
1
0
1
1
2
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
0
0
3
1
0
1
0
11
3
0
2
1
1
1
0
0
0
1
0
0
8
1
1
1
1
1
15
0
3
0
0
1
1
1
1
0
0
2
2
0
1
1
0
0
0
4
0
9
0
0
0
0
0
0
0
0
0
2
1
0
0
0
2
0
0
0
0
1
0
0
0
0
0
1
0
11
2
3
1
0
1
1
0
0
0
0
0
1
0
1
0
2
0
0
1
0
0
0
1
0
2
0
0
0
2
1
0
13
1
1
1
0
0
0
2
0
0
0
0
1
0
0
5
0
0
0
3
2
0
0
1
1
2
0
1
0
0
0
0
0
0
1
0
0
1
1
0
0
2
1
3
1
1
8
1
0
4
1
1
0
1
0
0
0
0
1
2
1
0
0
0
0
0
0
8
1
2
1
2
0
2
0
1
2
3
0
2
1
0
1
1
1
1
0
2
1
2
0
3
0
1
0
0
0
0
0
0
3
1
0
1
1
5
0
2
0
0
0
1
0
0
2
0
4
0
0
0
0
0
0
1
11
0
0
0
0
0
0
0
0
2
0
0
0
0
1
1
1
2
0
1
0
1
10
1
0
0
1
10
2
1
0
1
1
0
0
0
1
0
0
0
1
0
1
0
1
1
2
0
2
0
0
0
0
0
0
1
0
2
0
11
1
0
0
1
1
1
0
0
0
1
2
0
0
0
1
1
1
2
0
2
0
0
1
0
0
0
0
1
0
1
0
0
0
1
2
0
0
0
0
0
0
2
1
1
0
1
0
2
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
2
0
0
0
0
8
0
1
7
0
0
0
1
0
2
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
2
0
11
0
0
1
0
1
0
1
1
1
4
0
1
2
0
0
1
0
0
0
0
1
0
0
1
1
0
1
0
1
0
2
1
0
1
0
0
0
0
3
0
0
0
0
0
1
0
1
0
0
0
0
0
1
3
1
0
0
3
5
0
2
2
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
1
0
0
1
1
1
0
0
1
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
2
0
1
2
0
0
1
1
8
1
3
0
0
0
1
0
1
0
0
0
0
1
0
0
3
0
2
0
0
2
1
0
0
1
1
0
1
0
1
1
3
1
1
1
0
0
0
0
3
3
0
0
0
0
2
1
0
1
0
0
0
0
1
3
3
1
0
0
0
0
0
1
0
2
0
1
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
0
2
0
1
0
0
0
1
0
2
0
2
1
5
1
0
2
1
1
1
3
2
0
1
1
0
0
0
0
0
0
1
0
0
2
1
0
0
0
0
0
1
0
0
1
0
1
1
1
0
1
1
0
1
0
0
2
0
1
0
0
0
1
0
0
6
1
1
0
2
2
1
1
0
5
0
0
3
1
1
0
0
1
0
1
1
2
0
0
0
1
1
0
0
1
0
0
1
1
0
1
0
1
0
1
0
1
1
2
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
2
0
1
0
3
0
0
0
0
1
0
0
1
1
0
0
1
0
0
0
1
1
0
0
1
0
0
1
0
1
3
1
0
2
0
1
0
0
0
0
0
5
1
0
1
1
0
0
0
0
0
3
2
0
0
0
1
1
0
0
0
0
1
2
0
0
1
2
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
33
1
2
4
1
0
2
1
0
3
2
0
0
0
2
0
0
2
1
1
1
1
0
0
3
0
3
1
0
0
0
2
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0
0
1
0
1
1
0
2
0
0
0
4
0
0
1
0
0
1
1
0
0
0
0
3
2
0
0
0
0
0
0
0
1
9
4
0
0
4
0
1
1
0
1
1
1
0
0
0
1
1
0
0
0
3
0
1
0
0
1
0
0
0
2
1
1
1
0
0
1
0
0
4
0
1
0
0
0
1
0
1
3
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
1
1
0
4
1
0
1
0
0
0
7
0
1
0
1
1
0
0
0
0
0
1
0
0
3
0
0
0
2
0
0
1
0
0
0
0
0
1
1
0
0
1
0
2
3
1
0
1
1
1
1
0
0
1
0
0
1
3
0
0
1
3
0
2
1
1
0
1
1
0
0
1
1
2
0
1
0
2
1
3
1
0
0
1
0
0
0
1
2
0
0
1
2
0
1
1
1
0
3
1
2
2
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
0
0
0
1
0
1
1
0
1
1
2
0
1
6
2
1
1
1
1
2
0
1
0
0
1
0
1
0
0
0
0
0
1
2
0
0
0
0
0
1
1
1
1
1
0
1
1
0
1
0
0
0
1
0
1
2
1
0
0
1
0
0
2
0
3
2
2
2
0
0
0
0
1
1
0
0
1
1
0
1
1
1
0
0
1
0
0
2
1
2
0
1
0
0
3
1
0
0
1
0
1
2
0
1
2
0
1
2
1
0
0
1
1
2
0
0
0
0
0
0
1
1
1
0
0
1
0
0
0
0
0
1
0
1
3
0
1
1
0
1
0
1
0
2
1
1
1
0
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
0
1
1
0
0
1
0
0
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
1
0
1
2
1
0
1
1
0
0
0
0
0
0
0
0
2
2
0
0
1
0
2
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
0
2
1
1
0
0
0
1
0
2
1
0
2
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
1
3
0
0
0
1
0
1
1
0
0
2
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
0
0
3
0
0
2
0
1
1
0
1
1
0
0
2
1
0
1
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
1
0
1
0
1
0
1
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
2
0
1
1
1
1
0
5
0
1
0
0
0
0
0
1
2
0
0
1
6
0
0
0
3
1
1
1
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
1
0
1
0
0
1
1
0
1
0
0
0
2
1
0
1
0
3
1
0
0
0
0
0
0
1
0
1
0
2
0
1
1
0
2
0
0
0
0
0
0
0
1
0
0
1
1
1
0
1
1
0
2
1
0
0
2
0
2
2
1
0
0
1
3
2
0
0
0
2
1
0
0
0
1
0
1
0
1
1
2
0
0
0
0
2
0
1
0
0
0
0
0
2
0
2
0
0
0
0
1
1
0
1
1
0
1
0
1
1
6
1
0
0
0
1
0
0
1
1
0
1
0
2
0
1
0
0
0
0
1
0
3
0
0
2
0
1
0
0
1
0
0
0
0
1
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
1
0
0
4
0
0
1
0
0
0
2
0
1
0
0
0
0
0
0
1
0
1
5
0
1
2
0
1
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
2
1
1
0
0
0
0
0
5
0
1
2
0
2
0
0
0
1
0
0
1
1
0
0
0
1
0
1
1
0
1
0
0
2
0
0
2
1
0
1
0
0
3
0
0
0
1
0
0
0
1
0
2
1
1
0
1
0
0
0
2
1
0
0
0
1
0
0
0
2
0
1
0
0
1
0
0
1
0
4
6
0
1
0
1
0
1
0
0
0
0
0
0
0
1
0
0
1
1
1
0
0
0
1
3
2
1
0
1
0
0
1
0
0
0
0
1
0
1
0
1
2
0
0
0
1
0
1
1
0
0
1
1
3
0
0
0
0
0
0
0
1
1
2
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
3
0
2
0
0
0
0
0
1
0
0
6
0
0
0
1
0
0
0
0
1
0
1
1
0
0
3
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
2
0
0
0
1
0
1
0
0
0
11
0
0
0
0
0
0
0
0
0
0
2
1
0
0
1
0
0
1
0
0
0
1
0
0
0
0
2
1
2
0
0
0
0
1
0
0
0
1
0
0
1
2
2
0
0
0
1
1
1
0
0
1
1
0
0
1
0
0
2
0
4
0
0
1
2
0
0
0
13
1
1
2
0
0
1
0
0
3
0
2
1
0
4
0
1
0
0
1
1
2
0
0
0
1
1
0
1
0
0
0
0
1
1
0
0
0
0
2
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
1
0
0
0
2
0
0
0
1
0
9
3
1
1
0
0
2
3
0
0
0
0
0
0
1
1
1
1
0
1
3
0
0
0
2
0
1
0
0
1
1
0
1
1
0
1
0
0
0
2
0
0
1
0
0
0
1
3
0
2
1
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
1
1
1
3
1
6
0
2
0
1
0
0
0
0
0
0
2
1
2
0
2
1
2
0
1
1
0
1
0
0
0
0
0
0
0
0
1
1
1
2
0
1
2
0
0
0
0
0
0
1
1
0
0
0
2
1
0
1
0
1
0
0
0
1
1
1
1
1
2
0
0
1
0
2
0
0
0
0
1
0
0
0
2
0
0
1
1
1
0
1
0
1
0
0
0
0
0
0
2
1
1
2
0
1
0
0
0
0
1
1
1
1
1
0
0
0
1
0
0
0
0
5
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
2
0
0
0
1
1
1
1
0
0
0
3
0
0
2
1
0
2
0
2
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
1
0
7
0
1
1
3
0
1
1
0
0
0
0
0
2
1
0
0
0
0
1
0
1
2
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
2
1
1
0
2
0
0
0
0
0
2
1
2
0
0
1
0
0
1
0
0
2
1
1
0
1
1
0
2
2
0
1
1
0
0
0
1
3
1
0
0
1
0
0
0
0
0
1
1
0
0
9
0
0
1
0
1
0
0
1
0
0
0
0
0
1
0
1
4
1
0
1
0
1
0
2
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
1
0
0
2
0
0
0
0
1
1
3
1
1
1
3
0
14
5
1
0
2
0
0
0
1
2
2
1
0
0
1
3
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
2
0
1
3
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
1
0
1
0
9
2
0
2
0
0
3
5
1
3
1
0
0
0
1
0
1
0
3
0
1
1
0
0
2
0
0
5
0
0
1
1
0
1
1
1
1
0
1
0
1
0
0
1
0
0
2
0
0
0
1
0
0
0
3
1
0
1
0
1
2
0
1
1
0
0
2
0
2
1
0
0
1
0
0
1
0
1
0
0
1
0
0
1
1
1
1
0
0
0
0
1
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
3
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
5
0
0
0
1
2
0
1
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
1
0
1
0
1
0
0
1
0
0
0
0
3
1
3
0
2
2
0
0
0
1
0
1
1
1
0
2
0
0
1
2
1
1
0
0
0
0
0
0
0
5
0
0
0
0
2
0
3
0
0
0
0
0
14
0
7
2
1
0
1
0
0
0
0
0
6
0
1
1
0
0
0
0
0
0
1
1
0
2
1
0
3
0
1
0
1
0
3
0
0
0
1
1
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
2
0
1
0
1
1
1
1
0
1
0
0
0
2
0
0
0
1
0
2
0
2
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
0
0
3
0
1
0
0
1
0
1
3
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
3
2
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
4
1
1
0
0
0
0
0
1
2
0
0
0
1
0
0
0
0
4
0
1
0
1
0
1
0
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
1
0
0
1
0
0
5
1
0
0
0
0
1
0
1
2
1
0
2
0
0
0
0
1
1
0
0
0
2
0
0
1
0
0
1
0
8
1
0
2
0
0
0
1
0
0
0
2
0
2
0
1
0
4
0
0
0
0
2
0
0
1
1
1
0
0
1
0
0
1
1
1
0
0
0
0
1
2
0
0
0
0
0
0
0
1
0
0
0
1
1
0
2
0
0
1
3
1
0
0
2
0
0
1
2
0
0
0
0
0
8
0
3
0
1
0
1
0
0
0
0
1
0
1
0
3
1
0
1
1
1
0
0
0
0
0
1
1
0
1
0
1
0
0
0
0
0
1
0
2
1
1
0
2
0
0
3
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
2
0
0
1
0
0
1
3
0
0
0
1
1
0
0
3
0
0
0
1
1
2
0
2
0
1
0
0
0
1
1
3
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
1
1
0
0
1
0
1
1
0
2
1
2
0
1
1
0
0
0
2
0
1
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
2
1
0
1
0
1
0
1
0
2
1
0
1
4
0
0
1
1
1
1
2
1
0
0
0
0
0
1
1
3
1
0
1
0
1
0
2
3
0
0
0
0
0
1
1
0
0
1
0
0
2
0
3
0
2
0
13
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
4
1
0
0
4
0
0
1
0
3
0
0
0
1
1
1
1
0
1
0
0
8
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
1
2
0
0
0
1
0
1
3
2
8
0
0
2
1
0
0
0
1
1
0
0
0
0
0
0
1
1
2
0
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
1
0
0
1
1
2
2
0
1
0
1
0
1
2
0
2
1
0
0
0
0
0
3
1
0
0
0
0
2
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
1
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
1
0
0
0
0
2
0
0
0
0
1
1
0
0
0
0
1
1
0
3
0
0
2
0
1
0
0
0
0
0
2
2
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
1
1
1
1
2
1
0
0
0
0
4
2
0
5
0
0
2
1
0
2
2
1
0
0
0
0
1
0
2
4
2
1
0
2
0
6
0
0
0
0
1
9
2
1
1
0
0
2
1
1
0
0
1
0
1
0
0
0
0
1
0
1
0
0
0
1
0
2
2
0
0
0
0
1
2
1
3
1
1
0
0
1
3
0
1
0
2
1
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
2
1
0
1
0
3
0
0
0
0
0
0
1
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
1
1
1
0
0
0
0
0
1
0
2
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
1
4
0
9
1
1
1
1
0
1
1
1
0
0
4
1
1
1
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
1
0
0
1
0
3
0
1
5
1
0
0
0
4
0
0
1
1
1
0
0
0
1
1
1
0
1
2
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
1
1
0
1
2
0
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
2
0
1
4
0
0
1
0
2
0
0
2
0
0
2
1
0
1
0
0
0
2
0
0
1
2
0
0
0
0
1
2
0
0
0
0
2
3
0
0
0
8
1
0
0
2
0
0
0
0
0
0
1
1
0
1
2
1
0
0
0
1
1
1
0
2
0
0
0
15
0
1
0
0
0
1
2
0
1
0
1
1
0
0
1
0
0
0
3
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
1
1
0
0
1
0
0
0
1
0
1
0
0
2
0
0
0
1
0
0
1
0
2
2
0
0
0
10
0
1
1
0
1
2
0
0
1
1
0
0
1
0
0
0
0
2
1
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
1
0
1
1
0
0
0
1
0
0
2
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
1
0
9
1
0
0
0
0
0
2
1
2
0
1
1
0
2
0
0
0
1
0
0
0
1
0
0
0
0
3
0
0
1
0
1
0
0
0
1
0
1
1
0
1
0
0
0
0
0
0
3
2
0
0
0
0
0
0
0
2
0
2
1
0
2
2
0
2
0
0
0
0
0
0
0
1
0
1
0
1
5
0
1
0
0
1
0
0
1
0
1
0
1
1
0
1
1
1
0
1
0
0
0
2
0
0
0
1
0
0
0
0
1
0
1
2
1
1
0
1
0
1
1
1
1
1
0
0
0
0
2
1
1
1
0
1
0
0
0
2
0
0
0
0
1
0
0
0
0
0
2
1
0
1
1
0
0
0
0
0
1
0
0
2
2
0
0
1
0
0
0
0
2
0
0
1
1
1
1
9
2
0
0
0
2
0
1
0
0
0
1
0
2
1
1
1
0
0
0
0
3
2
1
0
0
1
1
0
0
0
0
0
3
0
1
1
0
1
1
0
0
0
2
1
2
1
2
0
0
0
1
0
1
1
1
0
0
1
1
0
1
0
0
0
0
2
0
0
0
0
0
0
4
0
2
1
1
0
0
1
0
0
1
1
1
0
1
0
0
0
5
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
6
0
0
1
0
2
0
0
0
0
0
0
0
1
1
0
5
0
0
2
1
0
1
0
0
0
0
2
1
2
1
0
0
0
0
2
0
0
0
0
0
0
3
1
0
1
0
0
0
0
1
1
6
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
3
0
0
1
0
0
0
0
1
0
4
1
0
2
0
2
1
1
1
0
2
1
1
0
0
5
0
1
0
0
1
0
2
0
2
1
0
0
0
1
0
3
1
0
0
2
1
0
1
1
0
0
0
1
4
0
0
0
0
0
0
0
1
0
0
1
1
1
2
2
0
0
0
1
0
0
1
0
1
0
1
1
1
0
1
0
1
4
0
1
1
1
2
1
0
1
0
0
0
0
1
0
0
0
1
0
1
0
1
0
0
0
0
1
1
1
0
1
0
1
0
0
1
0
1
1
0
1
0
1
1
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
1
1
0
0
1
0
0
0
0
2
1
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
1
0
0
0
0
4
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
2
1
1
1
0
0
1
0
1
0
0
0
0
0
2
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
15
0
0
2
0
0
0
0
2
1
0
0
1
0
2
1
0
0
2
0
1
0
0
0
0
0
1
1
2
0
0
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
2
0
1
0
1
0
2
0
0
4
2
1
0
1
1
0
1
1
0
2
2
0
0
1
0
0
0
0
1
6
1
0
4
0
1
0
0
0
1
0
1
1
2
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
2
0
3
0
10
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
4
0
0
0
0
0
1
0
0
1
1
1
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
0
1
0
1
1
1
0
0
1
0
2
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
1
1
0
0
2
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
2
0
0
1
1
1
1
0
2
0
2
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
2
0
0
1
2
0
0
1
0
0
1
3
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
1
0
1
1
1
0
1
0
0
0
0
1
2
0
0
0
1
0
0
0
0
1
0
1
0
3
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
2
0
1
2
1
0
2
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
2
0
0
2
12
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
3
0
1
2
1
0
1
1
0
1
0
0
2
1
0
1
0
0
0
0
2
0
1
0
0
2
0
1
0
0
0
1
1
0
0
1
1
1
0
1
1
1
1
0
0
2
0
0
0
0
0
1
1
0
0
0
1
0
1
0
1
1
2
0
0
1
1
0
0
3
0
0
1
0
1
1
0
0
0
0
0
1
0
1
0
2
0
1
0
0
1
0
0
1
0
2
3
0
0
1
1
1
0
0
1
0
0
0
2
1
1
0
0
0
0
1
0
1
0
5
1
0
0
0
0
0
1
0
0
0
1
1
0
0
4
0
0
0
9
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
1
0
1
2
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
1
0
0
2
1
0
0
1
1
1
0
0
0
4
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
2
0
0
0
0
3
0
1
0
1
0
0
0
0
1
0
2
0
0
2
0
0
0
1
0
1
0
0
0
0
0
2
0
0
0
0
0
1
0
0
1
0
0
0
2
1
0
0
0
0
0
0
1
0
0
0
2
1
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
2
1
1
0
0
0
1
0
2
0
0
0
1
2
1
0
2
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
1
0
1
2
0
0
0
0
1
1
1
0
0
0
1
4
0
1
0
0
1
1
0
1
0
0
1
1
0
1
0
1
0
1
0
0
1
1
0
0
1
0
0
0
1
0
0
2
1
0
0
0
1
1
1
0
0
0
1
1
0
0
0
3
0
0
0
0
0
1
0
0
0
0
1
5
1
1
0
0
3
0
0
0
1
1
2
0
1
0
0
1
3
0
0
0
0
1
3
0
1
0
0
0
0
6
0
0
0
0
1
1
0
0
0
0
0
2
1
0
1
0
5
1
0
0
0
1
2
0
0
0
0
2
0
1
0
0
0
0
1
0
1
0
0
2
0
0
0
2
0
0
0
0
1
0
1
1
1
0
0
1
0
0
0
0
3
0
1
1
0
1
1
0
0
0
0
9
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
0
2
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
3
0
0
0
0
0
0
8
1
0
0
1
2
5
1
0
0
0
1
0
0
0
0
0
2
0
0
1
0
0
0
0
1
4
2
0
0
0
0
0
0
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
0
0
0
1
1
1
0
1
1
0
0
0
2
0
1
0
0
0
5
0
4
0
1
0
0
0
0
1
0
1
1
0
1
2
3
2
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
1
0
2
0
0
0
0
2
0
1
0
0
1
1
1
2
1
0
0
0
3
0
0
0
0
0
2
0
0
0
1
3
0
1
2
1
1
1
0
2
0
0
1
1
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
4
1
1
1
1
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
2
0
1
0
0
0
0
1
0
1
1
0
1
0
0
0
1
0
0
2
0
0
2
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
2
1
0
1
0
0
0
1
0
0
1
0
0
0
0
2
0
0
1
0
0
0
0
1
0
1
1
0
1
1
1
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
1
7
0
0
0
0
0
0
1
1
0
2
0
0
0
2
0
0
0
1
0
0
1
4
0
2
0
0
1
1
2
0
1
0
0
1
1
0
0
1
0
0
2
0
0
0
1
0
0
2
0
9
0
0
0
0
1
0
0
0
0
0
0
1
2
0
1
2
10
0
1
1
0
0
1
1
0
0
0
0
0
0
1
0
1
1
1
0
2
0
1
0
0
1
0
1
1
1
0
2
0
1
0
0
0
0
0
0
0
1
0
1
1
1
1
1
0
1
4
0
1
0
0
0
0
1
0
0
0
0
0
0
1
2
0
0
0
0
0
1
2
0
1
0
0
0
1
1
0
1
2
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
1
1
0
3
0
1
0
1
0
0
0
0
2
0
1
0
0
1
0
10
1
1
2
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
1
1
0
0
0
0
2
1
1
1
0
1
0
1
1
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
1
0
0
0
1
1
0
0
1
0
1
0
0
1
0
0
0
0
1
0
1
0
0
1
0
1
0
3
0
1
0
0
0
0
0
1
0
2
0
0
0
1
0
0
5
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
2
1
1
0
0
1
0
0
0
0
0
0
0
0
1
2
0
1
1
0
0
2
0
0
0
2
1
1
1
0
0
0
1
2
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
5
0
0
5
0
1
0
0
2
0
1
1
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
1
0
1
1
0
0
0
0
1
0
1
2
4
0
4
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
2
0
1
0
1
0
0
9
0
0
1
0
0
1
1
0
0
1
0
0
0
0
0
2
1
1
0
0
1
1
2
0
2
0
0
2
0
1
1
1
0
0
1
0
0
0
1
0
0
2
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
1
0
0
0
1
1
0
1
0
0
2
0
1
1
0
0
0
0
0
2
2
1
0
1
0
0
0
1
0
1
0
0
2
1
0
1
0
1
0
0
1
2
3
1
0
0
8
1
0
0
0
0
4
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
5
0
0
0
0
1
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
0
2
0
2
0
0
0
0
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
1
0
1
0
1
1
0
1
0
0
0
0
0
1
1
0
0
1
0
1
0
1
0
1
1
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
0
0
2
2
0
0
1
0
0
0
0
0
1
1
0
1
1
0
0
0
1
1
0
1
1
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
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
2
1
2
1
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
2
1
0
1
1
2
2
0
0
0
0
0
1
0
0
0
1
0
0
1
0
1
0
0
0
3
0
0
2
2
0
0
0
1
0
1
0
0
1
0
0
0
0
7
1
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
4
1
0
0
1
1
0
0
0
1
1
0
1
0
0
0
0
1
0
0
1
1
0
0
0
2
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
1
2
2
5
0
1
13
0
0
0
0
0
0
1
0
2
1
0
0
0
1
0
2
1
2
0
1
0
0
1
0
0
1
1
0
0
2
2
0
0
1
1
4
0
2
1
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
1
1
0
0
1
0
1
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
2
0
0
0
1
0
0
2
2
0
0
0
0
0
2
1
0
1
1
0
0
0
0
1
0
0
0
2
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
1
0
0
1
1
1
1
1
0
0
0
0
0
0
1
0
1
0
1
1
2
0
2
1
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
1
10
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
7
0
0
0
0
0
0
0
0
1
0
0
0
0
2
2
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
1
0
0
1
0
0
0
0
0
0
1
1
0
1
0
1
1
0
1
1
0
0
0
0
0
0
0
2
0
0
0
1
2
1
0
0
0
0
2
1
1
1
0
2
1
1
0
1
1
1
3
1
0
0
1
0
1
0
2
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1
1
0
0
0
1
1
0
6
0
1
1
0
0
0
0
5
1
0
1
0
0
0
0
0
0
0
2
0
0
2
2
0
0
0
1
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
1
0
1
0
0
0
0
1
0
0
0
0
1
3
0
0
0
1
1
0
1
0
0
1
0
1
0
0
0
0
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
1
0
6
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
0
1
0
1
0
0
3
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
2
0
2
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
1
2
0
1
0
0
1
0
0
0
0
0
3
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
1
0
0
2
0
0
0
0
1
1
1
0
0
0
1
0
0
0
0
2
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
2
1
1
0
0
1
0
1
1
1
0
0
1
0
0
1
0
0
0
8
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
2
0
1
0
0
1
0
0
0
0
0
0
0
0
0
4
0
1
0
0
0
2
0
0
0
0
0
0
0
2
0
2
3
0
0
3
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
0
0
0
1
0
0
0
1
1
0
0
2
2
0
1
1
0
0
1
2
0
0
0
5
0
0
1
1
0
0
0
1
0
0
0
0
0
1
0
1
0
2
0
3
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
0
0
0
1
0
1
0
0
0
1
0
0
1
2
0
0
1
0
1
0
1
0
1
0
1
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
1
0
0
2
1
0
1
0
0
0
0
0
0
0
0
0
5
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
2
1
1
2
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
1
0
0
0
1
0
0
7
0
0
1
0
1
0
1
0
0
0
0
1
0
1
1
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
1
0
2
0
0
0
0
0
1
3
2
0
1
0
0
0
1
0
0
0
0
0
1
0
1
0
0
2
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
1
0
0
0
1
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
0
1
11
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
2
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
17
0
1
3
0
1
0
0
1
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
0
2
0
1
0
0
0
2
0
0
0
0
0
0
0
6
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
1
0
0
2
1
1
8
0
0
1
2
0
1
3
0
1
2
1
0
0
0
1
2
1
1
1
1
0
0
1
1
0
1
0
0
2
0
6
1
1
0
2
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
3
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
1
2
0
0
0
0
0
0
0
0
1
0
0
1
2
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
1
1
2
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
10
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
2
0
1
0
7
1
1
0
0
0
1
0
1
2
0
1
0
2
0
1
1
0
0
0
0
1
0
0
0
2
0
2
2
1
0
0
1
0
0
1
0
0
0
0
1
2
1
0
1
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
0
1
1
0
0
1
0
0
0
0
1
0
0
0
0
2
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
0
0
3
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
3
0
0
0
14
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
1
6
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
1
0
0
4
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
0
1
0
1
1
0
2
1
0
0
0
0
1
2
0
2
1
0
1
0
0
0
3
1
0
0
2
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
1
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
8
0
0
0
0
2
1
2
0
2
1
0
0
1
0
1
1
0
0
0
0
0
2
0
0
0
11
1
0
0
0
2
1
0
0
0
0
0
0
1
0
1
2
1
0
0
0
0
1
0
0
0
3
0
0
0
0
0
0
0
0
2
0
0
0
1
1
2
0
0
0
0
0
1
1
1
5
0
1
0
1
9
1
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
0
0
1
0
0
0
0
0
1
0
0
0
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
1
0
0
0
0
1
0
1
0
0
0
1
1
1
0
0
0
0
0
0
0
2
0
1
0
0
2
0
0
1
0
0
0
2
0
0
1
0
0
0
2
0
1
0
2
0
0
0
3
0
0
0
0
1
0
1
1
0
0
0
6
0
0
2
0
0
0
0
0
1
1
0
0
0
0
0
0
3
0
0
0
0
1
1
0
0
3
0
0
0
2
0
1
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
2
1
1
0
0
1
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
1
2
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
6
0
0
1
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
1
0
0
0
1
0
1
1
0
0
5
0
0
0
0
2
0
0
1
0
1
1
2
0
0
0
3
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
2
1
1
1
0
0
0
0
1
0
1
0
0
0
2
0
1
0
1
0
0
3
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
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
7
1
0
1
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
4
2
0
0
1
0
1
0
0
0
0
0
0
0
1
1
1
1
0
0
1
0
2
2
0
1
1
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
1
1
3
0
0
0
0
0
0
1
0
1
1
2
0
0
5
0
0
1
0
1
0
2
1
0
1
1
1
1
0
0
0
7
0
0
1
0
0
0
0
1
0
1
0
1
1
0
0
0
0
1
0
0
1
0
1
1
0
0
1
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
2
0
1
0
1
1
0
0
0
1
9
0
0
0
0
0
1
2
0
1
1
1
1
0
0
0
1
0
1
0
3
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
4
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
1
0
1
0
0
0
0
0
6
0
1
0
1
0
1
0
0
0
1
2
0
1
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
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
3
0
0
0
0
4
1
0
0
1
2
1
0
0
0
0
0
0
1
1
2
1
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
1
0
1
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
0
0
0
1
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
4
2
0
0
1
0
0
1
0
0
0
1
0
0
1
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
6
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
5
0
0
0
0
1
1
1
0
0
0
0
1
0
0
1
1
1
1
0
0
1
0
0
1
0
0
1
0
0
2
0
2
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
1
0
1
0
0
0
2
0
0
0
0
0
0
1
1
0
1
0
1
0
1
0
2
0
0
0
1
1
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
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
3
0
0
0
2
0
0
0
0
0
1
0
1
1
1
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1
3
1
1
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
0
2
0
0
2
0
1
1
0
3
0
2
0
1
0
0
0
1
0
0
0
0
0
0
1
1
3
1
0
0
0
0
0
13
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
1
3
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
3
1
0
0
0
0
0
0
0
1
0
2
0
0
0
0
1
0
1
0
0
0
0
1
0
2
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
0
1
0
0
1
1
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
5
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
2
1
0
0
0
0
1
0
0
0
1
0
0
2
0
0
0
0
0
0
0
1
2
1
0
1
0
1
1
1
0
1
0
1
1
1
1
0
0
0
0
1
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
5
0
0
1
0
0
1
0
1
0
1
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
3
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
0
1
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
1
0
0
0
0
0
1
0
1
0
1
0
1
0
0
2
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
1
0
0
0
1
1
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
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
1
0
0
2
1
0
0
0
0
0
0
2
0
0
0
4
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
1
0
0
3
0
1
1
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
2
1
0
4
1
0
0
0
0
1
2
1
1
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
0
0
0
0
0
1
5
1
0
0
0
2
1
0
1
0
0
2
0
0
0
0
1
1
0
0
0
0
0
0
1
6
0
1
1
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
2
1
0
1
0
0
1
0
1
0
0
1
0
0
2
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
4
1
0
0
0
0
4
0
0
0
0
1
0
0
1
7
0
0
0
1
0
0
0
2
0
0
0
0
0
1
0
0
1
0
0
0
1
1
1
1
0
0
1
0
0
0
0
4
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
2
2
0
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
1
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
2
0
1
0
0
1
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
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
2
0
0
2
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
1
1
0
0
0
0
1
1
3
0
1
0
0
0
0
0
0
0
0
1
0
1
1
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
1
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
2
1
0
1
1
0
3
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
3
0
0
0
0
1
1
0
1
2
0
1
0
1
0
1
0
0
0
1
0
2
1
0
1
0
0
0
0
0
0
1
0
0
1
0
2
0
0
1
0
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
14
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
1
0
0
5
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
0
2
0
0
0
1
0
0
0
4
0
0
0
8
1
0
0
1
1
0
0
0
0
1
0
0
1
1
1
1
0
0
1
0
0
0
1
0
0
0
2
0
0
1
1
0
1
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
2
12
2
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
1
2
1
1
0
0
0
0
0
2
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
3
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
1
0
0
1
5
0
1
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
1
0
1
0
0
0
1
0
0
0
0
0
1
3
1
3
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
1
2
0
2
0
0
2
0
1
0
0
0
0
0
0
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
1
1
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
1
1
0
1
2
1
0
0
2
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
6
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
2
0
0
1
0
0
0
1
1
1
2
0
0
1
0
0
1
1
0
2
0
0
1
0
6
0
0
0
6
1
1
1
0
1
0
0
1
0
0
0
1
0
0
2
1
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
0
2
0
0
0
1
0
0
1
0
0
0
0
0
0
1
1
0
0
4
0
0
0
0
1
1
2
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
1
2
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
1
0
1
0
0
0
0
1
0
0
1
3
0
0
0
2
0
0
1
3
1
0
0
0
3
0
0
1
0
0
0
1
4
0
0
1
1
1
0
3
1
1
0
0
0
0
1
0
0
1
0
6
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
4
0
0
1
0
0
0
0
0
1
0
0
0
1
0
1
0
1
0
0
0
1
1
0
0
0
0
12
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
0
0
2
0
0
0
0
0
0
0
1
1
3
0
0
0
0
0
1
2
0
0
0
0
0
1
0
2
0
0
1
2
12
1
0
0
0
1
0
0
2
0
0
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
1
0
1
0
0
1
1
0
0
0
2
0
1
0
0
1
0
0
0
0
0
0
1
0
2
0
0
1
0
1
0
0
0
0
0
0
3
0
1
0
1
0
0
1
0
0
0
3
1
0
1
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
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
1
0
0
2
0
0
1
0
0
1
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
1
0
0
0
0
1
0
2
0
0
0
0
0
0
1
1
0
0
1
2
0
0
0
1
0
0
0
0
0
0
0
2
0
0
1
0
0
1
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
1
4
0
0
1
0
0
0
0
1
0
0
1
1
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
0
1
0
0
4
0
0
1
0
1
0
0
0
0
0
2
1
0
1
1
0
0
0
3
0
1
0
0
1
1
0
1
0
0
7
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
2
0
3
0
0
0
0
0
0
0
0
2
1
0
0
0
0
1
0
2
0
1
0
1
1
0
1
0
0
0
0
5
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
1
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
1
0
2
0
0
0
1
1
0
0
0
0
1
1
0
2
0
1
0
0
0
4
0
0
1
0
1
0
0
0
0
0
3
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
2
0
0
2
0
0
1
1
0
1
0
0
1
6
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
1
0
0
0
0
0
1
1
0
1
0
1
1
1
5
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
1
0
1
0
1
0
1
0
2
0
0
0
0
0
1
0
0
0
2
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
1
0
0
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
1
1
2
0
0
0
0
0
1
0
1
1
0
0
0
1
0
1
1
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
2
1
1
0
1
0
0
1
0
2
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
2
1
4
0
1
0
0
0
1
1
1
2
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
1
1
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
2
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
3
0
0
3
0
0
0
0
7
2
0
0
0
4
1
2
1
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
1
2
0
1
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
0
2
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
1
7
1
0
0
0
0
0
0
0
1
0
1
0
0
0
3
0
0
1
0
1
0
0
0
0
0
0
0
1
0
0
3
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
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
1
0
0
1
0
0
3
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
1
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
9
0
0
0
1
0
0
2
0
0
1
1
0
0
0
0
0
1
6
0
1
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
1
0
0
0
0
0
0
3
0
0
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
0
0
0
0
6
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
5
0
2
1
1
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
1
0
1
1
0
2
0
0
0
0
1
0
0
0
0
0
0
0
1
0
3
0
1
2
0
0
0
1
4
1
0
0
1
0
0
1
1
1
0
1
0
1
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
1
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
0
0
0
0
0
0
0
3
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
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
5
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
1
0
0
0
1
0
0
0
0
0
1
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
0
0
0
1
0
1
0
0
0
0
1
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
1
0
2
0
1
0
0
0
1
1
0
0
2
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
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
1
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
2
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
1
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
8
4
0
0
1
1
0
0
0
1
0
0
2
0
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
1
2
1
0
0
0
0
0
2
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
2
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
2
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
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
1
0
0
0
1
1
0
0
0
7
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
1
2
0
1
3
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
1
1
3
0
2
1
0
0
0
1
0
0
1
3
0
1
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
1
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
1
1
0
0
0
1
1
0
0
0
1
1
0
2
0
0
0
0
1
0
0
0
0
0
1
1
0
4
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
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
1
0
0
0
0
1
0
0
0
1
0
1
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
6
0
0
0
1
0
0
0
0
0
1
2
0
0
0
1
0
1
1
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
1
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
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
5
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
1
0
0
1
1
0
0
0
1
0
1
0
0
0
1
0
1
1
2
1
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
5
0
0
0
4
0
0
0
2
0
0
0
0
2
0
0
0
2
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
1
1
1
0
0
0
1
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
1
2
0
0
1
0
1
1
0
0
1
1
0
0
2
0
1
1
1
0
0
0
0
1
1
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
1
0
1
2
0
0
0
0
2
0
0
0
0
0
2
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
1
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
1
0
0
1
1
0
0
2
1
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
4
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
2
1
1
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
1
0
2
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
1
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
1
0
2
1
1
0
1
1
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
9
0
0
0
0
0
0
0
1
0
0
0
0
1
0
8
0
1
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
0
2
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
2
0
1
0
0
0
0
1
0
0
1
1
0
0
0
2
0
1
0
1
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
1
2
0
0
0
2
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
1
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
5
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
5
0
0
2
0
1
0
0
0
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
0
4
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
1
0
1
0
0
2
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
1
0
1
0
2
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
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
0
1
7
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
1
0
1
1
1
0
0
1
0
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
1
0
0
0
0
7
0
0
0
0
0
0
0
2
8
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
1
0
3
2
1
0
0
0
0
2
0
0
2
0
0
0
0
1
0
0
0
0
1
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
5
0
0
1
1
0
1
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
1
1
0
1
0
0
0
0
0
0
0
0
16
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
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
2
1
0
0
1
0
0
0
2
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
2
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
1
0
0
1
1
7
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
14
0
0
1
0
1
2
0
2
0
3
0
1
2
0
0
0
0
0
0
0
0
0
0
1
1
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
2
1
0
7
0
0
0
0
0
1
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
0
0
0
0
1
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
9
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
6
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
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
2
1
0
2
0
0
0
0
2
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
1
1
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
1
1
1
0
0
0
1
0
0
0
0
2
0
0
0
0
1
1
0
0
0
1
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
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
2
0
0
0
0
0
1
0
8
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
2
0
1
0
0
0
0
0
1
0
6
0
0
1
0
0
1
0
1
0
1
0
0
1
1
0
1
0
1
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
5
2
0
0
0
0
0
2
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
1
15
0
0
0
0
0
0
0
0
0
1
0
1
0
0
2
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
3
0
0
0
3
0
0
1
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
1
0
0
1
0
0
0
0
0
0
0
3
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
1
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
1
1
0
0
2
0
3
0
0
0
3
0
0
0
2
1
0
0
1
0
0
2
2
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
2
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
0
0
7
0
2
0
0
0
1
0
0
3
0
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
1
0
5
2
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
1
1
0
0
1
0
1
0
0
0
3
0
0
0
0
0
0
0
1
0
1
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
5
0
0
0
1
1
0
0
0
1
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
1
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
3
0
0
0
0
0
0
0
0
0
1
2
0
0
0
1
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
5
0
0
0
0
1
0
0
0
1
0
1
0
1
0
0
0
1
1
1
0
0
0
0
0
0
1
0
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
1
0
1
1
0
0
0
0
0
1
0
0
0
2
0
0
2
1
1
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
0
0
0
0
0
5
0
0
1
0
3
1
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
1
0
0
1
0
0
0
0
1
1
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
1
0
1
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
1
1
0
2
1
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
1
0
1
0
2
1
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
1
1
1
2
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
4
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
2
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
2
0
1
0
1
0
0
1
0
1
0
0
0
0
0
0
2
0
0
0
0
0
2
0
1
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
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
1
2
0
1
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
0
0
0
0
1
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
1
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
1
0
1
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
1
0
0
0
0
1
0
0
0
1
2
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
10
1
0
0
0
0
0
1
1
1
1
0
0
0
0
2
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
2
0
1
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
10
0
0
0
0
0
0
5
0
0
0
0
0
0
6
0
2
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
3
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
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
1
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
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
2
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
3
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
2
1
0
0
0
0
0
0
1
0
0
1
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
0
0
0
8
1
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
2
1
0
0
0
0
0
0
1
1
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
2
1
0
0
0
1
0
0
1
0
0
1
0
0
2
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
4
0
0
0
0
1
0
0
0
0
0
0
1
0
3
0
0
0
0
5
0
0
1
1
0
1
0
0
0
0
1
2
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
9
0
0
0
0
0
0
1
0
4
1
0
1
1
0
0
0
0
0
0
0
0
0
1
2
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
2
0
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
2
0
1
0
0
0
3
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
1
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
1
0
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
4
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
6
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
1
2
0
0
0
0
1
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
0
0
0
3
0
2
0
0
0
0
0
1
0
0
1
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
0
1
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
3
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
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
1
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
1
0
0
2
1
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
0
0
0
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
3
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
1
0
1
2
0
1
0
1
0
0
0
0
0
0
2
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
2
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
2
1
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
4
0
2
0
0
0
1
0
0
0
0
0
8
1
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
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
1
1
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
1
0
1
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
2
0
0
8
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
1
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
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
1
0
0
1
1
1
1
0
0
0
0
0
0
0
2
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
1
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
5
0
0
0
0
0
0
0
1
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
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
11
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
0
0
0
0
1
0
0
0
0
1
1
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
7
0
0
1
0
0
0
0
0
2
1
0
0
0
0
0
0
1
1
0
0
0
0
0
2
0
1
1
0
0
0
1
0
0
6
0
0
0
1
0
0
0
0
0
1
0
2
0
0
1
1
0
1
0
3
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
1
0
0
0
0
0
0
0
0
0
0
1
1
3
0
0
0
0
0
0
0
0
2
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
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
1
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
1
0
0
0
1
0
0
1
1
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
2
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
1
0
7
0
0
1
0
0
0
0
0
0
3
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
0
0
2
0
0
0
0
0
0
4
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
2
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
2
0
0
1
1
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
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
4
0
0
1
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
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
1
0
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
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
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
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
1
1
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
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
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
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
6
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
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
2
0
0
0
1
0
3
0
0
0
0
0
2
0
0
1
4
0
0
1
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
2
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
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
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
0
0
0
0
2
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
10
0
0
2
0
0
0
0
1
0
0
0
0
1
0
0
1
4
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
10
0
2
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
5
0
0
0
1
0
1
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
2
1
0
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
0
0
1
0
0
1
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
1
1
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
1
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
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
1
1
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
1
0
2
0
0
1
2
1
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
1
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
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
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
0
1
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
1
1
1
0
0
0
0
0
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
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
1
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
1
1
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
1
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
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
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
2
1
0
0
0
1
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
1
0
4
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
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
0
0
0
0
0
0
0
0
0
0
2
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
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
1
0
0
0
0
12
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
1
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
6
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
1
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
2
0
1
0
0
0
0
1
1
0
0
1
0
3
0
0
0
0
0
0
1
0
1
0
0
4
0
0
0
0
0
0
2
0
0
3
0
0
0
3
0
0
1
0
0
0
0
0
0
1
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
2
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
1
0
0
1
1
0
0
0
0
0
0
3
0
1
0
1
0
0
1
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
1
0
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
0
0
0
1
0
1
0
0
0
0
7
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
2
0
0
1
0
0
6
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
1
0
0
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
2
1
0
0
0
0
1
0
0
1
0
0
0
0
1
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
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
2
0
0
1
0
0
0
1
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
3
1
0
0
0
0
0
0
0
0
0
0
1
1
1
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
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
0
0
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
1
0
0
0
0
0
1
0
0
0
1
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
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
3
1
1
1
0
0
0
1
0
1
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
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
1
0
0
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
1
0
0
0
1
1
1
0
0
1
0
0
0
3
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
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
3
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
11
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
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
5
0
0
0
0
2
0
0
0
0
1
0
0
1
0
0
0
1
0
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
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
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
1
0
0
1
0
0
0
0
1
1
0
11
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
1
0
0
0
0
0
0
1
0
0
0
0
0
1
2
0
0
0
0
0
0
0
1
1
0
0
0
0
0
4
0
0
0
0
0
1
0
1
0
2
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
15
0
0
0
0
0
0
1
0
2
0
2
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
11
0
0
1
2
2
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
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
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
1
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
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
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
0
0
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
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
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
0
0
0
1
0
0
0
1
0
0
0
1
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
1
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
2
1
0
0
0
0
0
0
0
0
5
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
1
0
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
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
3
0
0
3
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
1
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
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
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
1
7
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
5
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
1
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
1
0
0
0
1
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
1
0
0
0
0
0
0
1
0
1
0
1
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
2
1
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
1
0
0
1
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1
0
1
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
9
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
1
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
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
1
0
0
0
0
0
0
0
0
0
0
1
0
2
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
2
0
0
0
1
0
2
0
1
0
1
0
0
0
0
1
1
2
0
0
1
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
4
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
2
0
1
0
1
0
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
1
3
0
1
0
0
0
0
7
0
1
0
1
0
0
0
0
1
3
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
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
1
1
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
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
1
0
0
0
9
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
1
0
1
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
11
0
0
0
0
0
2
0
0
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
1
2
0
1
0
1
0
1
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
1
0
0
1
0
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
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
0
0
0
0
0
8
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
2
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
2
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
0
0
0
0
7
1
0
1
0
0
1
0
0
0
0
0
0
1
0
0
1
1
1
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
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
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
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
0
0
0
3
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
3
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
2
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
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
1
0
0
1
0
0
0
0
0
0
0
1
7
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
2
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
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
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
1
0
0
0
0
0
0
0
1
0
0
2
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
0
0
10
0
0
0
0
0
0
0
0
1
0
0
0
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
2
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
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
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
11
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
3
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
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
5
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
0
0
0
0
0
1
0
4
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
0
4
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
1
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
5
0
0
0
0
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
1
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
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
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
1
1
0
0
7
0
0
11
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
1
0
1
0
0
0
0
0
0
0
2
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
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
8
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
1
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
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
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
1
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
1
0
1
0
0
0
6
0
11
0
0
1
0
0
0
1
1
1
0
0
1
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
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
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
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
1
0
0
0
0
0
1
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
2
1
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
2
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
1
0
0
0
0
1
0
0
0
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
1
0
0
0
0
1
0
0
2
1
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
0
0
0
0
0
0
0
0
1
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
0
0
0
1
0
0
2
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
1
0
2
0
1
0
1
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
2
0
0
0
1
2
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
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
13
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
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
1
1
0
0
0
0
0
0
0
0
2
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
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
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
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
1
0
0
0
0
1
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
1
1
0
0
0
0
1
1
0
0
2
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
1
0
0
5
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
1
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
1
1
0
0
0
1
0
1
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
0
0
0
0
7
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
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
1
0
9
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
0
1
1
0
0
1
9
0
0
0
0
0
0
1
0
0
2
1
0
0
0
0
0
0
0
0
1
0
4
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
1
1
0
0
0
7
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
1
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
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
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
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
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
1
0
0
0
0
0
0
0
0
0
0
3
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
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
1
0
1
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
1
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
0
3
1
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
1
0
0
1
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
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
0
0
0
0
1
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
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
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
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
1
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
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
12
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
0
0
0
1
0
0
0
0
1
0
1
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
11
0
0
0
0
0
0
0
0
0
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
1
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
1
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
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
1
0
0
0
0
0
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
0
0
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
1
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
2
0
2
0
0
0
0
1
0
0
0
0
0
0
3
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
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
4
0
0
0
0
0
0
0
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
2
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
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
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
1
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
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
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
2
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
1
1
0
0
0
0
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
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
0
0
2
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
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
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
0
0
1
0
0
0
0
0
0
1
1
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
0
0
1
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
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
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
2
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
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
10
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
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
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
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
1
0
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
2
1
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
9
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
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
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
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
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
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
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
1
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
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
1
0
1
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
8
0
1
0
0
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
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
1
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
0
0
0
0
0
0
2
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
1
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
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
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
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
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
1
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
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
1
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
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
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
3
1
0
0
1
0
0
0
0
2
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
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
11
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
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
5
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
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
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
9
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
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
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
1
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
1
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
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
1
1
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
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
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
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
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
2
0
0
0
1
0
1
1
0
1
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
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
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
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
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
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
1
0
0
0
1
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
0
0
0
0
0
0
0
1
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
9
0
0
0
0
0
1
0
0
0
0
0
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
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
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
1
0
1
0
0
0
0
0
0
0
0
2
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
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
1
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
2
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
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
0
0
1
0
0
1
0
0
0
2
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
2
0
0
0
0
0
0
0
0
1
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
1
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
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
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
1
0
0
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
1
0
0
0
1
0
0
0
0
0
3
1
0
0
0
0
0
0
0
0
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
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
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
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
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
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
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
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
9
0
0
0
0
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
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
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
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
2
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
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
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
1
0
0
0
0
0
0
0
0
0
1
0
0
22
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
1
1
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
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
0
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
1
0
0
0
0
1
1
0
0
0
0
1
0
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
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
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
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
1
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
2
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
1
0
0
0
1
0
1
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
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
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
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
1
0
1
1
0
4
0
0
0
0
0
0
0
0
0
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
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
2
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
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
1
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
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
1
1
0
0
1
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
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
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
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
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
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
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
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
1
0
0
0
0
0
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
1
0
0
0
0
0
0
2
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
1
0
0
0
0
0
0
0
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
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
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
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
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
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
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
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
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
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
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
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
0
0
0
0
0
0
0
0
0
0
0
15
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
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
13
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
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
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
12
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
1
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
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
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
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
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
1
0
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
4
0
0
0
0
1
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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