0
1
mirror of https://git.sb/baoshuo/OI-codes.git synced 2024-11-27 20:36:28 +00:00
OI-codes/S2OJ/661/data/flower3.out

30001 lines
59 KiB (Stored with Git LFS)
Plaintext

51
40
40
42
37
37
30
28
39
32
28
43
31
23
28
25
34
24
24
24
29
21
25
26
27
25
18
19
23
22
18
30
25
31
25
14
20
48
26
18
18
33
14
24
33
15
30
17
24
20
11
25
22
30
15
28
19
17
31
25
28
16
19
25
20
20
20
24
25
17
20
18
21
26
26
15
12
13
16
12
6
15
19
28
20
41
25
23
30
19
39
16
31
18
13
27
34
21
14
17
16
9
19
12
10
10
15
8
17
12
9
20
21
16
24
20
17
17
17
9
23
21
13
15
15
12
8
11
22
25
20
17
9
24
14
8
9
7
16
10
14
15
9
6
15
13
28
12
23
22
23
15
11
6
16
15
27
5
17
18
13
18
29
9
16
13
9
10
12
15
14
17
18
16
14
6
21
7
6
12
9
25
8
20
8
13
10
15
14
7
17
9
12
14
12
20
20
14
7
11
11
6
16
27
7
11
10
16
27
13
10
10
12
10
21
11
5
14
24
9
8
19
8
28
10
17
12
6
13
7
21
8
11
17
8
18
7
10
7
16
16
7
17
11
19
20
7
15
11
16
5
13
11
12
11
18
15
16
11
7
10
6
12
10
16
7
18
5
13
9
20
17
6
8
6
12
6
21
13
6
9
11
11
9
8
9
18
23
10
11
6
7
12
7
9
20
7
11
9
6
13
7
9
6
7
11
22
8
11
12
18
14
17
12
5
10
7
12
12
4
9
9
9
8
9
14
9
6
8
6
6
26
11
10
12
6
7
8
17
4
16
21
7
9
4
6
11
11
6
8
10
15
7
10
17
22
9
14
5
8
16
10
16
4
4
15
21
5
7
19
6
3
4
22
12
6
12
13
12
13
18
6
21
11
7
4
10
8
6
6
9
21
8
11
3
7
11
11
11
12
7
4
3
3
3
9
4
4
10
4
14
20
12
12
8
10
6
9
6
11
19
10
11
5
11
9
7
8
5
10
13
15
8
7
7
8
10
8
8
7
8
4
12
9
17
5
7
5
11
10
6
11
4
5
4
10
8
9
4
9
13
13
4
7
10
10
7
9
5
8
6
9
9
4
22
12
11
4
8
11
6
4
10
5
6
7
6
10
10
12
10
9
9
9
6
13
6
4
3
12
9
11
5
6
5
4
17
4
5
5
5
4
6
8
11
20
11
15
8
19
7
9
1
6
16
7
9
6
10
11
7
6
4
7
2
7
3
9
14
5
10
8
11
18
12
6
8
13
5
12
4
5
10
4
8
5
9
18
13
8
5
3
4
7
2
3
4
11
12
2
13
4
9
12
10
6
6
8
13
11
9
3
3
10
5
5
7
3
12
8
8
6
6
6
8
8
6
6
8
2
19
7
8
7
7
6
5
9
2
2
8
15
6
5
4
1
7
5
20
8
6
12
7
3
5
10
9
5
8
3
5
5
4
3
6
6
6
6
5
9
15
5
10
5
8
4
9
5
3
5
6
7
8
11
7
4
11
7
4
14
3
8
6
5
7
3
3
8
10
5
10
18
5
8
11
8
4
10
20
4
14
14
3
6
7
12
4
4
13
11
13
9
14
5
6
2
7
14
4
3
7
6
6
3
19
6
7
12
14
9
12
10
9
5
12
5
7
8
10
15
4
6
8
5
10
17
7
8
15
13
11
6
2
5
4
13
4
3
6
6
6
5
6
2
7
9
5
4
3
9
5
6
4
5
6
4
3
5
8
6
0
7
2
5
6
4
9
7
8
27
3
2
7
9
4
5
5
7
11
2
0
3
10
19
4
2
4
6
19
4
6
4
10
3
10
2
7
5
4
7
4
12
8
12
5
6
9
8
2
11
3
8
4
7
8
5
8
11
7
6
19
2
7
5
3
2
4
10
2
7
2
6
8
3
7
11
6
10
5
7
19
2
5
8
4
7
5
5
17
3
4
6
1
4
4
9
9
5
3
6
8
4
26
7
4
4
6
12
5
8
5
5
4
3
5
3
8
9
3
16
5
9
19
9
5
14
6
3
12
2
13
2
5
6
3
6
1
6
7
5
4
4
4
8
8
2
4
5
6
4
5
7
16
4
9
7
3
2
2
4
2
3
10
3
6
6
3
3
5
11
9
5
5
5
7
8
3
4
3
6
1
5
5
5
3
15
2
5
3
1
4
6
1
13
3
3
3
14
15
3
5
3
5
6
4
6
8
2
6
8
6
3
2
6
2
18
8
6
11
11
9
3
2
9
4
5
3
5
10
1
2
3
7
6
2
8
3
9
2
4
15
2
5
4
13
4
4
7
4
7
1
12
3
14
0
5
2
4
13
2
14
2
2
9
5
6
6
3
4
6
2
3
1
8
9
5
5
4
4
16
10
14
3
8
3
9
19
6
3
1
3
3
4
3
3
4
6
16
9
2
5
3
7
4
4
5
5
8
4
4
11
3
8
4
2
0
8
6
4
5
5
7
27
9
7
4
7
16
7
4
2
8
4
5
3
4
5
3
2
8
6
4
1
11
1
10
7
5
1
4
8
7
2
2
6
8
8
1
7
4
3
11
8
3
12
4
2
3
4
3
1
4
8
4
5
8
6
4
12
4
5
10
4
10
6
6
5
8
8
10
2
6
4
4
4
5
3
3
16
2
1
2
5
4
5
4
2
2
0
8
7
4
6
2
10
5
3
4
9
5
3
6
6
7
4
3
2
12
17
8
1
4
5
1
7
6
4
5
12
10
10
7
2
4
3
2
3
6
4
11
4
2
2
3
1
4
3
5
3
2
2
1
5
3
4
2
5
6
6
5
4
2
2
10
5
4
5
7
5
4
4
2
4
5
2
3
2
3
3
3
7
6
6
4
5
6
2
4
5
4
7
2
1
6
4
7
10
15
6
6
2
1
3
6
5
6
2
4
6
6
4
2
4
6
6
4
3
5
4
11
2
6
6
6
6
3
8
2
2
8
6
2
6
5
3
6
4
3
2
6
3
6
2
6
3
4
3
3
5
4
6
3
3
18
4
4
4
1
8
6
6
2
6
4
3
4
1
4
4
0
2
2
11
5
2
5
3
5
6
6
5
3
4
4
4
5
2
6
4
3
1
4
3
6
6
0
6
5
6
5
7
2
2
4
12
5
6
4
4
4
3
2
3
6
1
5
0
5
10
3
8
0
5
4
3
10
5
5
6
1
5
2
3
2
4
4
2
1
5
3
6
12
8
4
11
5
4
6
5
6
2
6
7
4
7
5
8
3
6
7
3
3
1
9
4
7
11
3
2
7
10
3
4
2
4
3
7
2
4
7
5
8
3
3
3
1
18
2
2
11
5
3
4
3
2
4
3
1
4
1
4
6
2
2
5
17
3
2
0
10
7
11
3
5
2
13
1
1
3
6
2
6
5
4
1
6
1
22
3
9
9
2
6
5
2
4
14
15
4
2
6
4
6
4
2
0
6
5
2
5
2
1
4
3
8
4
3
0
5
0
3
9
4
2
5
5
5
1
4
2
20
2
4
5
5
2
7
1
2
1
3
15
5
4
8
3
15
3
6
8
3
2
4
3
4
4
5
1
2
5
3
4
5
20
3
1
4
6
5
4
3
4
10
2
3
10
4
2
5
2
6
5
4
1
3
2
2
3
3
10
3
5
3
5
4
6
4
4
5
2
4
3
1
2
9
2
2
0
7
2
3
10
4
3
3
2
10
4
1
2
3
2
3
3
1
7
3
4
0
11
1
5
6
2
7
2
10
1
2
4
4
10
4
1
7
4
7
2
3
4
2
10
3
0
9
1
6
1
3
3
8
4
4
4
2
2
0
0
6
3
11
6
6
2
3
1
1
9
3
4
11
4
10
11
0
5
5
3
2
5
1
5
7
4
3
14
4
2
2
9
5
2
8
1
6
2
4
0
3
1
4
3
1
1
3
5
5
4
2
2
3
2
1
6
1
4
3
4
7
8
1
0
2
4
3
4
3
4
2
3
3
11
4
2
2
11
4
3
5
3
2
3
7
2
1
2
8
2
2
3
4
2
7
7
4
4
8
1
2
2
1
9
3
2
7
4
1
4
11
4
3
0
2
3
0
2
4
2
2
4
1
6
3
2
3
4
1
5
8
6
1
2
4
3
2
7
2
1
2
3
3
1
6
3
1
4
2
3
6
1
6
6
5
7
14
10
3
3
3
5
7
7
2
8
2
4
1
4
1
1
6
2
7
2
3
7
1
13
1
19
16
2
4
3
22
6
4
10
13
3
6
1
4
3
8
2
1
2
1
3
7
3
3
4
2
5
5
5
0
6
1
4
5
3
3
3
5
2
2
2
2
4
6
10
1
7
5
1
6
1
3
14
4
5
11
1
3
3
1
3
2
0
9
2
3
2
2
2
5
2
5
5
5
6
12
2
4
4
4
4
3
1
7
2
3
1
11
3
2
5
1
2
11
1
2
3
4
16
3
2
2
5
4
1
4
1
3
3
1
3
0
1
3
6
1
4
4
4
3
3
2
4
7
3
0
5
4
3
1
3
4
5
1
5
2
1
5
4
1
3
3
1
3
3
3
2
5
4
6
3
3
12
5
2
4
6
5
4
1
2
5
1
2
4
6
6
7
3
1
4
4
9
4
1
2
10
2
1
4
2
2
3
4
24
4
4
3
4
1
6
1
3
1
5
8
2
7
2
6
2
4
5
3
0
4
3
1
0
2
1
3
1
3
1
3
1
7
0
0
5
4
11
10
3
3
2
7
2
4
5
3
1
3
16
6
2
3
1
1
1
5
4
1
4
3
1
3
6
0
3
3
2
1
1
3
6
2
2
3
1
3
5
4
2
4
1
6
5
3
0
8
3
6
1
3
2
4
3
0
5
4
1
3
2
2
4
2
1
2
3
3
1
3
1
4
9
4
6
4
3
1
9
3
2
1
4
16
4
2
3
3
1
3
5
1
3
4
2
3
3
15
8
2
5
1
2
4
1
1
3
3
2
11
11
4
2
2
4
2
5
5
3
2
4
4
3
2
2
3
2
3
2
1
5
0
2
2
3
1
2
1
3
2
2
2
9
2
1
1
3
1
3
1
3
7
5
11
2
3
3
4
3
3
2
2
4
0
5
1
3
2
1
7
7
1
7
6
3
2
2
5
3
7
4
3
3
1
2
1
9
0
1
4
14
1
10
10
2
2
6
10
7
3
2
3
2
4
4
1
1
2
4
1
4
4
3
7
0
2
7
2
0
3
1
3
2
4
1
14
2
8
3
4
5
4
8
4
2
0
6
2
0
9
3
2
1
3
3
2
2
2
0
1
1
1
5
0
4
2
2
2
7
5
2
5
1
2
2
1
3
4
5
6
2
3
4
2
4
9
5
1
0
4
6
2
1
4
1
3
2
2
2
2
1
2
2
4
1
2
5
7
1
2
3
5
2
2
1
4
6
6
1
2
3
2
3
0
4
0
12
0
0
3
4
2
3
1
5
3
6
5
3
10
0
8
2
3
1
8
5
1
6
3
8
2
1
0
4
4
3
2
2
0
1
1
3
2
3
5
1
4
2
1
0
4
10
2
1
3
0
3
8
3
2
3
1
0
2
5
7
2
1
5
2
5
3
0
0
4
4
4
2
3
1
3
3
4
2
4
3
5
3
3
0
0
2
2
4
0
1
9
3
1
10
7
3
3
3
2
1
1
4
11
2
2
3
1
1
1
5
2
3
2
3
1
2
2
4
11
4
1
1
3
1
3
5
4
3
3
9
4
1
2
2
5
5
7
4
1
6
8
9
4
4
3
0
1
2
2
3
2
5
0
0
3
5
2
1
4
0
3
3
2
4
3
2
3
4
2
2
0
1
3
3
4
3
3
1
5
4
3
2
21
6
2
4
2
9
0
5
1
1
1
2
5
2
2
2
4
2
1
3
1
0
2
11
0
2
1
9
2
0
0
1
0
3
1
2
3
3
1
4
4
9
2
2
2
2
1
1
1
3
3
2
2
2
1
2
7
7
2
6
5
2
15
5
4
2
2
4
1
2
3
3
2
1
1
2
10
4
0
2
3
5
2
2
2
1
9
2
1
0
1
3
4
1
1
3
4
8
6
0
1
5
4
4
4
5
12
2
2
2
2
3
4
2
2
1
1
2
1
1
0
1
5
0
3
3
5
3
4
1
2
1
1
8
3
2
1
0
3
1
2
0
3
3
4
1
4
4
3
0
3
1
1
3
5
0
4
4
1
2
4
5
0
1
0
3
0
9
2
9
1
7
2
7
2
2
2
6
3
1
2
5
1
7
3
2
1
0
0
3
3
6
2
16
1
3
0
2
1
2
2
2
0
2
5
3
6
5
1
3
1
2
3
2
8
1
3
8
2
5
2
3
2
2
0
3
4
1
4
1
0
0
2
3
2
2
0
0
3
3
2
0
1
3
1
4
1
24
1
0
4
6
4
3
0
0
1
0
3
0
3
2
3
5
5
2
3
3
6
0
8
0
3
1
3
2
5
4
3
1
2
2
3
0
1
2
0
2
4
1
4
3
0
3
0
0
0
3
12
0
0
5
3
8
2
1
4
2
2
0
4
2
4
2
4
4
18
0
1
0
2
5
4
3
2
0
4
1
20
5
1
2
0
4
7
1
5
2
1
0
0
1
1
10
2
2
5
5
1
1
1
3
2
2
6
1
3
3
0
2
3
2
4
0
4
2
1
0
5
1
2
3
1
0
2
1
0
1
2
1
5
2
0
1
0
1
3
5
3
1
1
4
1
5
5
2
4
4
2
4
4
0
7
2
1
2
2
0
2
3
9
5
6
2
2
4
4
1
5
4
2
1
2
2
6
4
1
1
2
2
2
5
3
3
5
5
1
1
3
0
7
2
4
6
2
3
0
3
2
1
3
3
0
2
6
1
0
0
0
4
0
3
3
3
0
4
1
1
1
1
9
1
2
2
2
2
0
1
1
1
1
2
3
0
3
3
1
1
5
2
0
2
2
6
4
3
0
1
3
4
5
0
2
14
3
4
2
1
3
2
3
1
3
6
4
5
0
4
2
3
5
2
1
3
1
6
1
1
2
0
3
3
2
2
3
2
1
1
3
1
1
1
5
7
2
6
3
4
4
1
1
2
0
3
3
2
1
0
6
3
3
1
3
2
1
2
1
2
3
5
2
2
2
2
4
1
1
4
1
3
2
1
2
0
1
0
1
3
4
0
2
2
4
4
6
3
1
2
3
6
2
1
2
0
4
1
0
2
0
3
3
3
0
2
1
0
5
2
0
2
2
3
0
2
2
11
1
3
6
2
1
0
1
7
9
0
2
3
0
0
3
0
0
3
4
2
4
6
3
1
3
0
4
7
4
5
3
5
2
0
2
3
0
7
2
2
1
1
2
3
0
6
0
3
5
2
1
1
3
2
5
6
3
2
3
4
4
3
8
6
3
1
3
5
0
2
5
3
13
1
1
0
9
3
3
1
2
11
2
5
6
4
0
3
3
5
1
1
2
3
4
2
4
2
1
2
1
2
3
1
0
0
0
0
1
2
3
2
3
3
0
0
2
0
2
2
1
4
3
3
2
1
0
2
4
2
2
1
3
3
3
2
0
1
2
4
1
4
1
3
4
1
0
1
5
3
6
4
1
3
1
1
2
4
1
3
2
3
2
1
2
5
1
1
0
4
0
2
0
0
1
1
2
4
2
1
1
1
1
2
2
4
2
4
1
0
0
1
4
4
3
2
1
3
1
2
5
2
1
0
4
0
0
5
2
0
0
0
0
4
2
2
4
8
18
0
1
2
10
4
2
2
2
0
1
5
2
0
4
1
1
2
4
1
1
1
1
1
3
2
2
3
4
5
3
0
0
7
1
1
0
5
3
1
0
4
1
3
3
3
2
3
2
0
4
3
0
2
1
3
2
5
2
2
11
2
4
2
1
1
0
10
1
4
2
6
2
0
3
4
4
2
2
1
1
4
10
2
1
1
4
12
8
0
1
2
18
3
0
1
7
3
9
3
1
3
4
2
3
1
1
3
0
0
0
13
6
0
2
3
0
4
5
2
2
3
2
0
0
1
1
6
1
2
4
2
1
2
2
4
0
1
1
1
0
4
1
1
2
1
2
1
1
4
3
1
4
3
2
5
2
3
2
5
1
4
1
4
1
3
0
0
0
2
3
1
0
0
2
8
1
1
2
1
2
2
5
2
1
1
0
1
0
2
1
1
2
2
4
3
2
1
0
3
1
6
0
1
2
1
3
0
1
2
0
1
2
1
1
1
3
0
1
5
1
2
3
0
4
2
1
0
1
11
1
0
4
0
0
1
0
1
1
2
1
1
0
1
4
3
2
4
1
0
0
8
2
2
4
1
2
2
1
1
1
2
0
6
1
4
1
0
1
3
1
13
3
2
0
1
1
2
2
2
1
1
7
0
2
0
1
1
2
0
5
2
2
1
0
1
0
1
1
2
4
3
3
3
1
0
4
2
1
1
3
3
5
9
2
3
4
1
2
2
3
2
0
2
3
2
0
0
0
2
1
0
7
1
0
6
2
3
1
1
7
0
1
0
0
3
0
4
2
2
2
0
21
3
0
1
2
3
0
4
10
6
3
1
1
3
1
2
2
3
0
1
2
0
3
2
1
0
1
4
1
1
0
1
1
2
1
1
2
4
3
2
1
3
3
3
2
3
5
7
1
1
2
0
2
1
6
5
4
2
2
3
9
1
3
1
1
5
2
3
2
3
2
2
2
1
1
3
4
2
3
0
0
8
0
2
1
0
2
0
4
1
0
2
0
1
2
0
1
7
4
2
1
0
0
5
2
1
0
0
0
2
1
1
2
2
3
0
1
4
1
2
0
1
0
4
0
1
4
3
4
2
2
1
5
1
0
12
0
2
2
4
5
1
0
0
1
1
1
0
2
0
0
0
2
13
2
0
1
3
7
2
2
2
3
11
2
5
4
0
4
2
1
1
0
4
0
0
2
0
2
0
1
6
0
3
0
0
0
1
2
3
0
1
0
1
1
2
7
0
0
2
1
3
1
2
2
0
1
0
2
1
2
3
2
0
1
1
0
3
1
1
4
2
17
0
1
1
2
2
1
2
0
7
1
0
1
0
2
1
6
0
2
11
0
3
3
0
2
3
2
1
0
0
1
1
1
1
2
0
1
1
1
3
2
1
4
2
2
1
2
2
1
0
1
0
0
2
5
1
1
1
2
0
0
1
5
3
1
2
3
1
1
9
2
1
1
3
0
2
2
0
0
1
3
4
1
1
1
0
3
6
3
3
1
2
2
1
1
2
0
2
3
5
0
2
2
1
5
1
1
3
0
4
1
1
0
1
1
3
0
2
2
2
3
0
0
1
3
1
0
1
1
3
0
1
1
0
6
2
3
3
2
4
4
2
1
1
1
2
0
1
0
1
2
1
0
1
1
2
2
1
1
2
2
0
2
8
4
2
6
1
3
0
4
3
0
2
1
2
5
1
1
2
1
0
2
1
2
1
1
2
1
0
5
1
3
2
2
2
2
0
1
3
2
3
2
5
1
2
0
1
2
2
2
0
2
0
0
0
1
1
2
2
5
1
3
3
1
0
1
0
1
3
4
2
0
1
0
1
1
2
3
1
0
1
1
2
6
0
1
5
2
3
6
0
0
1
3
6
2
1
1
0
2
2
2
4
0
1
1
3
3
1
1
1
3
1
6
2
1
1
2
1
2
1
2
12
0
9
0
0
10
2
6
2
0
4
1
0
1
0
1
0
0
1
0
0
2
0
1
1
2
4
1
2
2
2
2
2
2
3
0
3
0
0
3
2
13
1
0
0
1
2
3
1
0
2
2
1
1
0
0
6
1
1
1
1
8
1
1
2
1
1
1
2
0
1
0
6
1
1
2
4
1
0
0
0
3
0
2
4
0
0
1
1
2
2
1
0
1
0
2
1
2
0
3
0
2
1
1
0
1
0
4
0
2
1
2
1
2
0
1
1
2
2
2
0
0
2
1
2
1
2
1
1
11
1
0
2
0
1
0
2
1
1
2
1
2
1
0
3
3
1
2
2
1
1
0
2
1
1
0
3
1
3
4
1
1
1
0
0
2
1
2
0
1
0
1
0
1
1
1
1
1
4
0
2
5
1
2
0
2
2
2
4
0
6
3
1
0
3
12
0
1
4
4
2
1
3
0
2
0
1
1
3
1
3
3
1
1
1
6
1
1
1
0
12
5
0
1
4
1
19
0
6
2
14
3
0
0
3
0
0
2
0
0
1
0
3
2
3
1
1
1
1
3
3
1
9
3
0
1
1
2
1
1
0
2
4
0
1
2
2
1
1
2
4
4
2
0
1
1
0
1
3
1
6
1
2
1
0
1
1
1
3
2
5
2
0
1
0
0
2
0
4
0
1
3
0
2
4
1
1
3
1
0
1
2
5
5
1
7
2
1
1
2
0
1
0
3
6
1
1
1
3
1
2
1
3
0
1
2
0
2
3
1
1
0
1
1
4
1
1
4
3
2
2
0
2
1
3
0
0
1
2
4
2
2
0
5
2
1
1
3
0
0
0
0
1
1
4
0
0
2
1
1
5
1
2
0
7
0
1
1
1
4
0
1
1
1
2
3
4
1
0
0
0
3
0
1
3
0
3
0
1
2
3
1
4
1
4
2
1
0
2
7
1
1
2
2
7
1
1
5
2
0
1
3
2
0
4
1
3
1
1
4
2
4
1
0
0
1
2
2
3
3
5
2
1
1
2
1
1
1
4
1
1
0
1
2
2
1
0
0
1
1
1
0
0
1
2
0
4
2
2
1
0
1
0
2
0
0
0
0
1
3
1
1
2
3
4
2
2
1
1
2
1
2
1
1
1
3
1
0
1
2
1
1
0
2
1
2
0
2
0
0
3
0
1
0
1
0
3
1
1
1
2
2
1
0
1
0
1
3
0
1
1
1
5
2
3
1
2
1
1
0
1
2
0
1
3
2
1
1
1
0
3
1
1
12
2
1
3
3
4
2
2
1
3
0
2
1
0
0
2
1
4
4
0
1
1
1
1
10
2
0
1
1
3
6
1
2
0
1
1
1
1
0
0
1
0
0
1
2
1
3
0
1
0
1
2
0
2
1
5
1
1
2
0
1
1
0
0
0
1
1
1
0
2
6
2
0
5
1
4
1
2
4
1
0
0
1
3
3
5
0
4
5
1
1
3
1
1
4
6
0
3
0
8
0
0
0
2
4
4
0
1
0
0
2
1
2
3
0
0
4
3
0
0
0
1
1
3
0
1
2
5
1
2
2
0
2
3
1
0
0
2
2
0
24
0
3
6
0
1
0
2
1
2
0
2
2
2
1
3
2
1
3
2
0
1
1
1
0
2
0
0
3
3
0
2
1
0
1
0
0
1
2
2
3
0
1
0
1
0
1
2
4
2
3
5
3
2
2
0
5
1
1
0
0
2
1
0
3
0
1
2
2
3
3
1
0
5
1
1
0
1
2
2
7
0
5
1
4
1
3
10
1
0
0
0
0
1
1
6
1
0
1
1
0
1
0
1
0
1
0
1
1
1
1
3
0
0
0
3
5
2
3
7
0
1
0
0
0
0
0
0
2
0
1
1
1
2
2
1
2
0
3
0
0
0
1
0
1
4
2
1
2
2
0
2
1
2
1
2
1
0
1
1
1
0
3
0
1
0
0
15
2
1
1
1
0
2
0
0
1
0
0
2
0
0
3
1
3
1
1
0
0
1
1
0
0
4
0
0
0
0
4
2
2
0
1
0
1
4
0
1
0
0
3
1
0
3
1
0
0
1
3
0
0
2
1
1
1
3
0
1
0
3
1
2
3
1
1
3
0
1
2
2
1
6
1
0
1
0
1
2
1
2
0
1
2
1
0
1
2
3
0
1
0
0
2
1
1
0
2
2
3
0
1
4
1
2
2
1
1
1
2
0
0
0
1
0
0
0
2
0
1
0
1
1
1
1
0
1
1
4
1
0
0
0
1
4
2
4
2
1
1
2
2
0
5
1
1
2
0
0
1
1
0
1
0
1
0
1
0
2
0
1
2
3
3
2
0
2
1
1
1
0
1
1
2
1
2
0
0
0
0
1
0
3
1
1
2
0
0
1
2
0
2
2
0
0
0
1
1
3
12
0
1
1
2
3
4
0
2
0
6
0
2
0
1
3
0
2
1
1
3
3
1
2
2
1
1
1
1
4
6
0
0
1
1
0
2
1
12
2
1
1
1
2
0
1
4
0
2
1
1
1
1
1
0
2
0
0
1
1
2
2
0
0
1
0
0
2
1
0
4
1
0
0
1
3
1
2
1
0
0
2
2
8
0
1
1
2
1
4
1
0
1
10
0
0
0
2
0
0
1
3
1
3
0
0
4
2
1
0
2
1
1
0
2
1
3
3
0
1
0
1
0
0
1
0
1
1
7
2
2
2
0
2
1
2
1
3
1
1
1
2
3
1
1
0
0
0
1
2
0
3
0
1
1
2
1
4
1
1
1
3
0
2
3
2
3
1
0
2
2
0
0
0
0
1
0
0
1
2
1
0
1
2
3
0
1
0
3
2
1
11
0
1
0
2
0
2
1
1
0
2
1
2
2
1
2
0
0
1
0
1
0
1
0
2
0
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
0
0
0
0
2
0
1
2
1
3
3
0
2
3
1
1
1
1
0
1
3
2
1
2
0
1
1
2
0
0
1
2
0
2
3
2
1
0
3
3
2
1
3
0
0
2
3
2
0
0
2
0
2
1
0
0
2
0
5
0
0
3
1
0
0
2
0
1
0
1
0
0
1
0
1
0
2
2
0
2
0
0
1
3
3
1
1
0
0
1
6
1
2
1
0
1
0
1
0
0
1
2
1
1
0
0
0
1
3
2
0
0
0
7
0
3
0
1
0
4
1
1
1
2
11
1
0
2
0
0
1
3
0
1
0
0
0
2
1
3
0
2
0
2
3
1
1
1
5
11
1
1
0
1
1
10
0
0
4
2
2
1
0
0
1
0
10
1
1
2
1
1
1
0
2
1
0
2
0
0
0
11
3
0
0
1
1
0
1
1
2
1
1
1
1
2
1
2
0
0
1
1
1
0
1
2
0
0
2
0
0
0
5
1
1
3
1
2
11
4
2
2
1
1
0
0
4
1
1
1
1
0
0
3
0
0
0
9
0
1
2
0
1
0
0
1
0
3
1
2
2
0
1
0
0
0
0
11
0
0
1
7
0
1
2
4
1
2
0
0
1
1
0
1
0
1
14
3
0
2
1
1
1
0
0
0
2
0
0
1
1
4
0
2
1
0
1
5
1
0
0
0
3
2
1
0
2
1
2
1
1
0
3
0
1
7
1
4
0
1
0
0
1
0
1
0
0
1
1
3
0
0
0
0
0
1
0
2
0
1
0
2
0
3
0
0
1
0
1
0
1
0
1
1
0
1
1
1
0
0
0
4
0
5
1
0
0
1
0
2
0
1
1
1
2
1
1
4
1
0
2
0
1
0
2
0
4
0
1
2
0
1
9
1
1
0
1
0
1
0
2
1
1
1
2
0
1
0
1
1
2
0
1
1
2
0
0
0
1
7
1
3
2
2
3
1
1
1
0
0
0
2
3
1
1
0
0
0
7
7
1
2
1
2
0
2
2
1
0
0
0
0
1
0
0
1
0
0
1
0
3
1
4
1
0
5
2
1
1
0
0
1
2
4
0
0
1
3
0
0
0
1
0
0
1
6
4
0
3
1
3
0
0
2
2
0
2
2
0
1
1
3
0
0
2
1
0
0
2
3
1
3
0
2
0
0
1
0
0
1
1
1
0
1
3
0
0
3
1
0
0
1
0
1
1
1
1
0
2
2
0
1
0
0
1
1
1
6
1
5
6
3
2
1
0
0
1
2
0
2
1
2
0
0
1
1
1
0
1
2
1
2
0
2
1
1
0
1
1
3
0
0
1
0
2
0
0
1
1
1
3
1
0
3
0
1
2
2
2
3
2
2
1
9
0
1
0
0
0
0
2
0
0
3
2
1
0
6
1
1
1
1
0
0
1
0
2
1
1
1
0
1
1
1
1
0
3
0
0
1
0
17
0
0
3
0
1
2
0
5
1
1
3
1
1
1
0
0
0
8
0
2
1
4
1
1
0
0
4
1
0
1
1
1
2
0
0
0
1
11
1
4
3
0
0
0
1
1
2
1
1
0
1
2
2
0
1
3
2
1
2
0
0
2
2
0
7
0
2
0
1
1
1
1
2
2
1
0
1
1
0
2
0
0
1
1
0
1
0
1
1
3
2
2
2
1
0
0
1
6
1
1
0
1
1
0
1
0
2
1
0
1
4
0
1
0
0
0
2
1
2
2
1
0
1
2
3
0
2
2
0
1
1
1
1
0
1
0
6
2
0
1
2
0
0
2
0
1
0
2
5
1
0
0
0
0
2
1
2
0
2
0
1
0
1
1
2
0
0
2
1
1
0
1
1
1
2
1
7
2
0
2
2
0
0
1
2
0
0
1
3
0
6
0
0
2
1
1
0
0
1
2
5
5
0
0
0
3
0
2
1
3
3
0
4
1
1
2
1
0
2
0
0
0
2
2
1
1
1
0
4
0
3
2
0
2
0
1
0
2
2
15
14
0
3
1
2
3
1
0
1
4
1
0
0
3
1
0
1
0
1
1
1
0
2
1
1
0
0
0
1
1
2
2
2
2
0
1
0
0
3
1
2
1
0
2
1
2
1
0
0
0
0
1
1
2
2
3
0
1
4
1
0
1
0
3
0
1
1
0
2
0
2
0
1
0
0
0
1
1
1
1
0
1
1
0
8
0
1
0
0
1
1
0
0
1
1
1
2
0
1
0
5
3
0
0
1
0
2
2
1
0
0
3
1
2
1
7
4
4
0
0
4
0
1
1
7
1
1
1
1
1
1
0
1
1
0
2
0
0
0
3
0
1
2
2
1
1
0
0
1
0
1
2
1
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
2
0
0
0
1
1
0
2
1
1
1
0
1
1
0
1
0
1
1
1
1
2
1
2
1
1
1
3
0
1
2
1
1
0
1
1
2
0
0
0
3
2
1
1
0
0
2
1
1
2
2
2
1
3
0
0
1
0
1
0
0
0
0
3
1
1
2
0
1
1
0
1
1
2
0
1
1
0
1
1
1
1
1
1
0
0
0
2
1
0
1
1
0
3
0
1
2
1
1
1
0
1
2
1
0
0
2
2
0
1
2
1
1
3
0
0
0
4
0
0
2
5
0
0
0
0
0
1
1
0
2
1
1
1
0
1
0
0
0
0
0
0
1
0
2
4
0
0
1
1
2
2
1
0
3
0
0
0
0
2
1
1
2
0
0
1
0
0
0
1
1
0
0
0
1
5
2
0
1
1
2
0
0
1
0
2
0
0
0
2
1
0
1
0
3
0
1
0
1
0
2
2
1
1
1
0
1
0
0
1
2
0
1
3
0
2
0
0
1
0
0
1
4
0
1
3
2
0
1
0
1
1
0
5
0
0
1
1
1
0
0
0
2
0
5
1
0
1
0
1
0
0
0
0
1
1
1
0
0
4
0
0
3
0
0
0
0
0
0
2
3
0
2
0
1
0
0
1
5
2
1
0
0
1
1
0
2
0
2
0
0
3
2
10
2
0
2
1
0
1
0
0
1
3
0
1
1
0
1
0
1
5
1
2
1
0
1
0
1
0
0
2
3
0
1
1
0
0
0
0
0
0
1
0
1
4
0
0
1
1
1
0
0
1
0
1
0
1
0
0
2
0
0
2
1
1
0
1
0
1
5
2
2
3
1
0
4
0
1
2
2
2
1
0
0
1
0
0
1
1
0
1
0
0
1
7
0
1
0
1
1
1
1
0
0
1
0
0
1
1
1
0
0
0
1
0
1
1
1
1
1
1
1
2
0
0
1
1
0
0
1
0
4
0
0
0
4
8
2
1
1
1
1
0
1
0
0
1
2
0
5
0
0
1
1
0
1
0
0
0
1
1
0
1
0
6
1
3
1
2
1
0
0
1
1
0
1
1
3
1
0
0
0
3
1
1
1
1
0
0
1
1
1
0
0
2
2
1
0
1
0
2
0
0
1
0
0
0
2
4
1
0
0
2
2
0
2
0
1
0
4
1
0
2
2
1
1
0
5
0
0
1
0
0
0
3
0
0
1
6
1
2
1
0
0
0
3
4
0
2
3
1
2
0
0
0
0
2
0
0
0
0
0
1
0
0
0
1
0
0
1
2
4
1
1
1
2
0
2
0
0
1
0
1
0
1
1
4
1
1
0
0
2
2
1
1
0
1
1
1
2
1
2
0
0
0
1
2
1
0
0
0
1
1
1
2
1
1
0
1
1
0
1
0
1
0
1
1
1
0
0
0
0
0
0
2
1
0
0
2
0
1
1
0
3
9
1
0
1
1
0
0
1
1
0
14
0
1
1
1
1
1
1
2
2
2
0
1
0
0
1
1
1
0
2
0
6
1
0
0
2
1
0
0
0
2
0
2
2
2
1
1
3
0
0
0
2
1
0
1
0
0
0
0
1
3
1
1
1
1
3
1
0
0
0
4
3
0
0
1
0
3
0
6
0
1
1
1
1
0
0
2
0
1
0
0
0
2
0
7
1
0
0
0
1
0
1
0
7
0
0
1
2
1
0
0
1
0
0
0
1
1
1
0
0
2
0
0
1
0
1
1
3
0
2
2
0
0
1
0
1
2
0
2
0
0
0
1
0
0
1
1
3
2
3
1
0
1
0
1
1
0
1
8
0
2
1
0
0
0
0
1
0
1
0
0
2
0
0
1
1
1
0
0
3
1
0
4
1
1
0
0
0
0
1
2
2
0
0
0
2
0
0
0
0
0
0
1
2
0
2
0
2
0
0
0
1
0
1
0
2
2
2
1
1
1
0
0
1
0
0
2
0
0
5
1
7
0
0
1
7
0
0
2
0
0
1
2
0
2
1
1
0
2
0
1
1
1
5
0
1
1
0
2
0
1
1
2
0
1
2
1
1
0
12
1
1
0
0
0
4
0
3
1
1
0
1
1
1
0
1
1
1
1
1
0
2
0
1
0
0
1
0
0
0
1
3
0
1
1
0
1
2
1
0
1
1
0
1
1
0
5
2
0
1
2
0
1
3
1
0
3
1
1
1
1
2
1
0
0
0
0
0
3
2
1
4
1
2
0
1
0
0
0
0
0
0
2
0
1
0
1
0
0
0
0
1
0
1
2
1
0
2
1
0
0
1
2
1
0
3
7
1
0
1
1
1
0
0
0
1
0
0
0
0
1
0
1
1
0
2
0
3
0
0
0
1
1
0
0
0
2
0
0
1
0
0
1
2
0
3
0
1
2
1
0
2
7
1
0
0
0
1
0
1
1
2
1
0
0
0
0
2
0
8
1
0
1
3
0
0
0
0
0
2
1
0
0
1
0
0
1
2
0
0
0
0
1
0
0
1
1
1
1
0
1
0
0
2
1
0
0
1
0
0
0
1
0
1
0
0
1
0
0
2
0
0
6
3
1
1
0
2
0
1
0
0
3
0
1
0
1
1
1
0
2
0
0
1
0
1
0
2
0
0
0
1
1
1
1
3
2
0
0
0
0
5
0
0
2
3
2
0
0
1
2
0
1
0
0
1
1
0
3
0
0
0
0
1
0
1
1
3
1
0
1
0
0
1
3
2
3
1
0
0
2
1
4
0
0
2
1
0
0
0
0
2
1
2
2
0
2
1
1
0
0
0
1
1
0
0
2
0
1
1
0
0
1
1
0
1
1
0
1
0
5
0
1
1
1
0
1
1
1
2
1
0
1
1
0
1
1
0
0
0
0
0
2
1
0
0
1
0
0
1
2
0
0
1
2
2
0
0
0
1
0
1
1
0
2
0
0
0
2
1
0
0
0
0
2
0
1
0
0
1
1
2
0
0
1
0
0
1
1
1
0
0
0
8
0
0
0
1
1
0
2
1
1
0
0
1
1
0
1
0
1
0
0
0
0
2
0
1
0
0
0
0
0
0
1
0
0
0
1
9
0
0
1
1
1
0
0
0
0
1
1
0
1
0
0
1
1
1
1
3
0
0
0
0
0
1
0
1
0
9
1
3
1
1
0
3
2
0
0
5
0
0
0
0
1
0
1
0
1
0
0
2
2
1
0
0
0
0
0
3
0
0
12
0
3
1
1
0
0
1
0
0
3
1
6
0
2
0
0
1
2
0
0
0
1
0
0
0
0
5
0
1
0
0
1
0
1
0
0
3
2
0
0
2
1
1
0
1
5
0
1
1
0
0
4
3
0
1
1
1
4
0
0
0
1
0
0
4
1
0
0
0
0
0
0
1
1
1
0
0
0
1
0
0
5
1
0
1
2
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
0
4
0
1
0
1
0
0
1
0
0
0
0
1
0
0
1
2
1
0
0
3
1
0
1
1
1
8
0
0
18
1
0
1
3
0
1
1
0
0
5
0
1
0
1
0
1
0
1
0
0
0
1
0
0
3
0
0
2
0
1
1
0
1
3
2
1
2
0
0
2
2
0
1
0
1
0
0
0
1
0
0
2
2
0
1
0
1
1
0
0
2
2
1
2
2
1
1
0
0
0
0
0
1
1
0
0
0
1
1
0
1
0
1
0
1
0
0
1
2
2
0
0
13
0
1
0
0
1
1
0
2
0
0
1
9
2
0
0
0
1
0
0
1
0
0
0
1
1
0
5
2
0
3
1
2
0
0
0
0
1
0
0
0
0
1
0
1
0
11
0
0
1
1
1
1
6
1
1
0
0
2
0
2
0
0
0
0
0
1
0
0
1
1
1
0
0
1
0
1
1
0
2
0
0
0
0
0
1
0
0
0
1
0
0
0
1
4
0
2
0
1
0
0
1
1
1
5
2
0
0
2
1
3
1
1
0
1
1
0
1
1
0
1
0
4
0
0
1
0
0
0
8
0
0
1
0
0
0
0
3
0
0
0
1
0
0
0
1
0
1
0
0
1
1
1
1
1
1
0
0
0
1
2
0
1
8
14
1
1
1
2
0
0
1
1
0
2
1
2
1
2
1
1
1
15
3
2
1
1
0
3
0
0
0
0
0
2
1
0
1
0
1
1
1
0
5
0
1
0
1
1
0
1
0
2
0
0
0
0
4
0
0
1
1
1
0
1
0
0
0
0
0
0
0
2
0
0
0
0
3
0
2
1
1
1
0
0
1
2
0
2
0
1
0
1
2
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
1
0
0
2
2
1
0
2
1
1
1
1
0
7
0
0
0
1
0
1
0
0
0
1
0
0
0
1
1
1
2
2
0
1
8
0
0
0
0
0
0
0
0
1
4
1
1
1
0
0
1
0
0
1
0
3
0
1
1
2
0
0
4
1
0
1
0
0
0
0
0
1
0
2
1
0
1
1
0
2
1
2
1
0
0
3
1
0
1
0
1
0
0
1
2
0
0
0
2
1
0
0
0
8
0
1
0
0
1
0
1
7
0
0
0
0
0
1
1
1
2
1
0
0
3
0
2
1
1
0
0
0
0
2
1
0
1
0
0
0
1
1
0
0
2
1
0
0
1
0
0
0
1
1
0
1
0
0
1
0
1
1
1
1
1
1
1
1
2
1
1
1
2
0
2
0
0
0
0
2
0
1
0
0
1
0
0
0
0
0
1
2
0
0
0
1
2
1
0
0
2
2
0
0
0
0
0
1
1
0
0
1
0
1
1
0
3
1
0
1
3
1
0
0
0
1
1
0
1
0
2
3
1
2
0
2
1
0
1
3
0
1
3
1
1
1
0
0
1
1
0
1
1
1
3
1
1
0
5
1
1
0
0
2
1
0
0
2
0
0
1
0
0
0
0
0
2
0
2
0
5
0
0
0
0
0
0
1
1
0
1
0
0
6
0
2
1
0
0
3
0
0
1
1
2
0
0
1
0
0
0
0
1
3
0
1
1
1
0
1
0
0
1
1
0
0
0
1
0
0
0
1
0
1
3
0
0
0
2
1
0
1
0
1
0
0
2
0
3
1
1
1
2
1
0
2
0
0
0
0
0
2
0
0
0
1
0
0
0
1
3
5
0
0
0
1
0
0
0
0
0
1
1
1
0
0
1
0
0
2
7
1
0
2
1
0
1
0
1
1
0
0
0
1
0
7
1
0
0
1
0
3
1
1
0
1
0
1
1
0
1
0
1
5
1
3
0
0
2
0
0
0
1
0
0
0
1
0
0
0
0
2
1
1
2
0
0
0
0
3
2
1
2
0
0
0
0
0
0
0
0
0
0
0
1
1
3
1
0
2
0
1
2
0
1
0
0
0
2
1
0
0
0
0
0
0
0
5
2
0
0
1
5
1
2
0
1
1
0
0
0
1
0
0
1
0
2
0
0
0
1
0
0
0
0
0
0
1
0
3
2
1
0
0
0
0
1
1
1
0
1
0
0
2
1
1
0
0
0
1
0
0
1
1
0
1
1
0
0
0
1
0
1
0
0
0
1
0
1
0
2
1
0
1
0
0
0
0
0
0
1
3
0
0
2
1
0
1
0
0
0
0
0
4
0
0
0
0
0
2
0
0
1
0
0
1
2
0
0
1
0
0
1
1
1
0
1
0
0
0
0
1
0
0
2
0
1
0
0
1
1
0
0
0
0
0
0
1
2
0
0
0
0
5
0
0
1
0
2
1
0
1
0
0
0
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
1
1
0
1
1
0
1
0
0
0
0
0
0
2
1
0
2
0
1
1
0
0
0
2
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
1
1
1
0
0
0
1
1
4
6
2
0
0
0
2
1
0
0
2
2
0
1
0
1
5
1
1
0
0
3
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
1
5
1
0
0
0
0
1
1
0
1
1
0
0
0
2
0
2
0
1
2
0
2
2
0
0
0
1
1
0
0
0
0
0
0
3
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
0
1
1
0
1
0
0
0
1
0
1
0
1
0
0
0
0
2
2
0
1
0
2
0
3
0
0
0
1
0
0
0
0
2
0
0
0
2
0
11
1
1
0
0
0
3
0
0
0
1
1
2
0
0
0
0
0
14
0
2
1
0
0
1
1
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
2
1
0
0
1
0
0
1
0
1
0
0
0
0
0
1
1
1
1
0
0
3
1
0
0
0
0
0
0
0
1
1
0
2
1
0
0
0
0
0
1
1
0
0
0
0
0
1
0
1
3
0
0
1
0
2
0
0
0
0
2
0
0
0
2
0
1
0
0
0
1
0
0
1
1
0
1
0
1
0
0
0
0
0
0
2
0
0
0
0
3
1
0
0
1
1
0
5
0
1
1
0
0
3
2
1
0
1
0
0
0
1
1
0
0
1
1
1
0
2
0
0
0
1
1
1
0
0
0
2
0
1
2
0
0
0
0
0
2
0
6
0
0
1
0
1
0
0
0
2
0
0
1
0
2
0
0
0
1
0
0
0
0
2
1
0
0
1
0
1
1
2
0
1
0
0
0
1
0
0
0
0
0
1
1
6
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
2
1
3
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
3
0
0
1
0
0
1
0
1
0
0
0
1
0
1
1
2
0
0
1
1
0
0
0
1
1
0
0
0
1
2
0
0
1
0
0
1
1
1
1
0
2
1
0
0
0
1
0
1
1
0
0
4
1
1
0
1
0
0
1
1
1
1
0
0
0
0
1
0
0
0
1
0
1
0
1
0
0
2
1
0
1
0
0
0
3
1
1
1
0
0
5
0
2
0
0
0
0
1
0
0
0
0
0
1
2
0
1
1
1
0
0
1
0
4
0
1
0
0
0
0
0
0
4
3
0
0
0
0
1
1
0
0
0
2
1
1
6
0
0
15
2
0
0
1
11
0
0
0
0
0
1
0
0
2
0
0
0
0
2
1
3
0
0
1
0
1
0
0
0
0
0
0
1
0
4
1
1
1
0
0
1
0
1
0
1
1
0
1
0
1
0
1
1
1
0
0
0
0
1
0
0
0
0
1
0
1
1
1
1
1
3
0
1
1
0
0
0
1
0
2
0
1
0
0
0
1
0
0
0
1
6
1
5
0
1
1
0
0
0
0
0
0
1
0
0
1
1
0
0
1
1
0
0
0
0
0
0
1
3
0
0
0
1
1
0
0
0
0
1
1
0
0
0
1
0
0
0
2
0
0
0
1
0
0
0
0
2
0
1
0
0
0
0
1
0
0
3
0
0
10
0
0
0
0
5
1
1
0
1
0
0
0
1
0
0
1
0
1
0
0
2
2
0
0
1
1
1
0
1
6
0
1
0
1
1
0
1
0
10
0
0
0
0
1
1
0
2
0
2
0
2
0
1
0
0
1
0
0
2
0
1
0
1
0
1
0
2
1
0
1
2
0
0
1
0
1
0
1
1
0
0
0
1
0
4
2
2
0
0
1
1
0
0
1
0
1
0
1
1
0
0
0
5
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
1
1
3
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
2
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
5
1
0
0
0
1
0
1
1
0
1
0
0
0
1
0
0
0
0
6
0
3
4
0
0
0
0
0
0
0
0
2
0
0
0
3
0
0
0
1
0
1
0
0
0
0
1
1
1
3
1
2
0
1
0
2
1
0
1
0
1
0
1
1
0
0
3
2
0
1
2
0
0
1
0
0
1
0
2
1
0
0
0
0
1
1
0
2
0
0
0
1
0
1
1
4
1
1
0
0
0
1
2
0
0
0
0
0
0
0
0
1
0
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
1
0
0
0
1
0
1
0
1
1
0
1
3
0
0
1
1
0
0
0
0
1
1
0
0
2
0
3
3
1
0
0
0
3
3
0
0
1
0
0
1
1
0
0
1
1
1
0
2
1
1
2
0
0
1
2
0
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
0
0
0
2
2
0
0
1
0
0
1
0
1
1
0
1
0
1
4
0
2
0
0
0
0
0
0
10
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
1
1
1
1
0
1
0
0
0
2
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
1
0
0
2
0
0
1
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
3
1
1
0
0
1
0
0
1
1
0
0
1
0
0
0
2
0
1
0
1
1
1
1
1
1
0
0
0
1
0
0
2
0
0
0
1
1
0
0
0
0
0
1
2
2
2
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
1
0
2
0
1
0
0
0
0
0
0
1
0
2
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
5
1
0
2
0
0
0
1
1
0
1
0
2
1
1
0
0
0
0
1
1
0
1
0
1
0
1
0
0
0
0
1
2
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
2
1
0
0
0
2
0
0
1
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
3
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
1
0
1
0
0
1
1
0
0
0
1
2
1
0
1
0
0
0
0
0
0
1
2
0
0
2
0
0
0
0
0
1
0
1
1
2
0
0
0
1
0
0
0
1
0
1
1
0
1
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
2
1
0
0
1
0
0
0
0
1
0
0
0
0
1
1
2
0
0
5
0
0
1
1
1
0
0
0
0
1
0
0
0
0
3
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
1
1
0
0
1
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
1
10
1
0
1
6
1
1
1
0
0
1
1
0
1
1
0
0
0
2
0
0
5
0
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
1
2
3
1
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
3
1
0
1
0
0
1
1
1
0
0
0
0
0
1
1
0
0
1
1
1
0
4
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
1
2
1
0
0
0
0
0
1
0
1
1
1
0
0
0
0
0
0
1
0
1
1
0
1
0
0
0
1
0
0
0
6
1
0
0
0
0
0
0
1
0
0
0
0
1
1
0
2
0
0
0
0
1
1
3
1
0
0
1
0
0
0
0
0
5
0
0
3
0
0
0
0
0
0
4
2
0
0
1
0
0
1
0
0
1
0
0
0
5
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
0
0
0
2
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
2
1
1
1
0
1
1
0
0
1
0
0
0
0
0
1
1
0
0
1
1
0
0
0
1
2
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
0
2
0
0
0
0
1
0
0
1
0
0
0
0
2
2
0
1
1
0
1
0
1
1
0
1
0
1
0
1
0
2
0
0
0
0
0
0
0
1
1
0
7
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
1
0
1
0
2
0
1
0
1
0
1
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
1
0
1
2
0
0
1
3
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
1
2
0
1
0
1
1
0
0
2
0
0
1
0
0
0
0
1
0
1
1
0
0
0
5
1
1
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
1
0
0
9
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
1
0
0
1
1
10
0
1
0
0
0
1
11
1
0
1
0
0
1
1
0
1
0
0
2
0
3
0
0
2
0
0
0
1
0
1
0
0
0
0
0
4
0
0
0
0
0
0
0
1
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
4
0
0
1
1
1
0
1
0
0
0
0
0
1
0
1
0
3
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
1
1
0
5
0
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
0
0
0
1
2
4
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
2
1
1
1
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
2
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
1
0
1
0
0
1
1
1
3
0
0
0
0
0
1
0
1
0
0
1
1
1
0
0
0
1
0
0
2
0
1
0
1
0
1
0
2
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
8
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
2
0
1
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
6
1
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
1
0
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
2
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
2
0
0
0
1
0
0
1
0
3
0
0
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
1
0
0
1
0
0
1
1
0
1
1
0
2
0
0
1
0
1
0
0
0
1
0
0
0
3
1
1
0
0
0
0
0
5
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
2
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
2
0
0
0
1
0
0
0
0
0
0
1
0
1
1
1
2
0
0
0
2
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
3
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
1
3
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
0
2
0
0
1
1
1
0
0
0
1
1
1
0
0
0
1
0
0
1
0
0
0
0
0
0
1
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
2
1
0
0
0
1
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
1
0
2
0
0
0
1
0
0
0
1
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
6
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
0
1
0
1
2
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
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
5
0
0
0
1
0
0
0
0
4
1
0
0
0
0
0
0
0
1
0
1
1
0
0
1
0
0
0
1
0
1
0
0
0
0
1
0
2
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
13
0
1
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
8
0
0
0
0
0
0
0
1
1
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
2
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
1
0
0
0
0
1
1
0
0
0
0
1
1
0
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
1
0
1
0
0
1
0
1
0
1
0
0
0
1
0
0
0
0
2
0
0
0
0
1
0
0
0
0
1
0
0
1
2
0
0
0
1
0
0
2
0
1
0
1
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
12
0
0
0
1
1
0
0
0
0
0
1
1
1
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
2
0
1
1
0
0
1
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
1
1
0
0
0
1
1
1
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
2
0
0
0
0
1
0
2
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
0
2
0
0
0
1
0
0
2
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
3
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
1
0
0
0
0
0
1
0
0
0
1
0
1
1
0
0
1
0
1
0
0
0
1
0
1
0
2
0
1
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
2
1
0
0
1
0
1
0
1
0
1
0
0
0
0
0
1
1
2
0
0
0
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
3
0
1
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
1
0
2
1
0
1
0
0
0
1
0
0
1
0
1
0
0
0
0
4
0
1
1
0
0
1
0
1
1
0
0
0
0
0
1
0
0
1
0
0
4
2
1
1
0
0
2
0
0
0
0
1
0
1
0
0
1
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
2
0
0
4
2
1
0
1
0
0
1
1
0
0
0
1
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
1
3
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
3
0
1
0
1
0
0
1
1
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
1
1
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
3
1
0
0
1
1
0
0
1
0
1
0
0
0
0
2
0
0
0
1
2
0
0
0
0
0
3
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
2
0
0
0
1
0
0
0
0
0
0
0
0
5
1
1
0
0
1
1
0
1
0
0
1
0
2
0
1
2
0
5
2
0
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
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
2
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
1
0
6
0
0
0
1
1
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
1
0
0
1
0
1
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
2
1
0
0
0
0
1
1
0
0
0
0
0
0
3
0
0
1
1
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
4
0
1
0
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
1
0
0
0
0
0
0
3
0
1
0
0
1
0
0
0
0
0
2
0
0
0
1
0
1
0
0
0
1
0
1
0
0
1
0
4
0
0
0
1
0
3
0
0
1
1
0
0
1
0
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
0
0
0
0
10
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
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
4
1
0
0
0
0
1
2
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
6
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
5
0
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
0
1
1
2
0
0
1
0
0
0
0
1
0
0
0
0
1
0
3
0
0
0
0
0
1
0
2
0
0
0
1
0
0
2
0
0
0
1
3
1
0
1
0
0
0
1
0
0
0
1
0
0
0
1
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
1
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
2
0
1
0
1
0
2
0
0
0
0
1
0
5
0
0
0
0
1
0
0
0
1
0
0
0
0
14
0
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
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
2
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
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
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
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
1
0
0
0
0
0
1
0
1
0
1
1
0
0
0
1
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
1
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
4
1
1
0
0
0
0
1
0
0
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
5
0
0
0
0
0
0
2
0
1
1
0
0
0
0
1
0
3
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
1
0
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
0
2
0
1
0
0
1
0
0
0
1
0
0
2
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
2
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
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
1
1
0
0
0
0
0
5
1
0
5
0
0
0
0
0
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
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
4
2
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
2
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
1
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
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
1
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
1
0
1
0
0
0
0
0
0
2
0
0
0
0
0
2
0
1
0
0
0
0
0
14
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
1
0
0
0
0
1
0
0
1
0
0
0
0
1
1
0
0
0
0
1
0
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
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
1
1
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
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
1
0
0
0
0
0
0
1
0
1
0
0
0
0
1
2
0
0
0
0
1
0
0
0
0
0
0
2
0
2
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
1
0
1
0
0
0
0
1
0
0
1
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
4
0
0
0
0
0
0
0
0
1
2
0
0
0
0
3
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
4
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
0
0
0
0
0
0
0
3
0
1
1
0
1
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
1
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
1
3
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
1
0
1
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
1
1
0
0
0
0
0
0
4
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
1
0
3
0
0
0
0
0
0
0
1
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
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
1
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
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
9
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
4
1
0
1
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
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
1
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
3
1
0
0
0
0
0
0
2
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
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
3
1
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
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
1
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
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
2
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
0
0
1
1
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
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
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
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
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
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
1
0
0
0
0
1
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
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
1
0
0
1
0
1
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
5
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
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
0
0
0
0
1
2
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
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
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
0
2
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
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
1
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
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
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
10
0
0
0
0
0
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
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
3
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
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
6
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
0
0
0
0
0
0
7
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
1
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
1
3
0
1
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
1
0
0
1
0
0
1
1
0
0
0
1
0
0
1
0
1
2
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
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
6
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
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
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
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
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
1
2
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
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
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
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
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
1
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
1
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
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
6
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
10
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
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
1
0
1
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
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
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
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
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
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
3
0
0
1
0
0
2
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
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
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
4
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
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
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
4
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
15
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
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
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0