1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
1
-
1
0
0
1
1
0
0
0
0
2
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
1
2
1
-
0
0
0
2
0
0
0
0
1
0
1
1
0
0
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
1
2
2
3
0
0
-
1
0
0
0
0
0
2
0
2
1
2
0
0
0
0
2
2
1
0
1
2
1
0
1
0
1
0
0
0
1
0
1
2
0
0
1
0
0
0
3
4
0
0
1
-
0
2
1
1
1
0
0
1
1
0
0
2
0
0
1
1
1
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
1
0
4
5
1
0
0
0
-
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
5
6
1
2
0
2
0
-
0
1
0
0
1
0
0
0
0
1
1
0
1
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
1
0
6
7
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
1
0
0
0
0
0
0
0
0
0
0
0
7
8
0
0
0
1
0
1
0
-
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
8
9
0
0
0
1
0
0
0
0
-
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
9
10
0
0
2
0
0
0
0
0
0
-
0
1
1
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
10
11
2
1
0
0
1
1
0
0
0
0
-
1
0
0
1
0
1
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
11
12
0
0
2
1
0
0
0
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
2
0
0
1
0
0
1
12
13
0
1
1
1
0
0
1
0
0
1
0
0
-
1
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
1
13
14
0
1
2
0
0
0
0
0
0
0
0
0
1
-
0
1
0
0
0
2
0
0
1
1
1
0
0
0
0
0
0
0
0
1
1
2
0
0
0
0
1
1
14
15
1
0
0
0
1
0
0
0
0
0
1
0
0
0
-
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
15
16
0
0
0
2
0
1
1
1
0
0
0
0
1
1
0
-
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
1
0
16
17
0
1
0
0
0
1
0
1
0
0
1
1
0
0
0
0
-
0
1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
1
17
18
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
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
18
19
0
1
2
1
0
1
0
0
0
1
0
1
1
0
0
0
1
0
-
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
19
20
0
0
2
1
0
1
0
0
0
0
0
0
0
2
0
1
0
0
0
-
0
0
2
3
0
0
0
0
1
1
0
0
1
2
1
0
0
0
0
0
2
0
20
21
0
0
1
1
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
0
-
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
21
22
1
1
0
0
1
1
0
0
0
0
1
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
22
23
0
0
1
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
2
1
0
-
1
0
0
0
0
0
2
0
0
0
1
1
0
0
0
0
0
0
0
23
24
0
0
2
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
3
0
0
1
-
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
24
25
0
0
1
0
1
0
0
1
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
3
0
0
1
0
1
0
25
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
-
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
26
27
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
0
0
0
0
0
1
0
0
0
0
0
0
27
28
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
1
0
28
29
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
1
0
0
0
0
0
0
0
0
0
29
30
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
2
0
0
0
0
0
0
-
0
0
0
1
1
0
0
0
0
0
0
0
30
31
0
0
0
1
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
31
32
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
-
0
0
0
0
0
0
0
0
1
1
32
33
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
1
0
0
0
-
0
0
0
0
0
0
0
0
0
33
34
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
2
0
0
1
0
0
0
0
0
0
1
0
0
0
-
1
0
0
0
0
0
1
0
34
35
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
1
0
0
0
1
-
1
0
0
0
0
0
0
35
36
0
1
2
0
1
0
0
1
0
1
1
2
1
2
0
0
2
0
0
0
0
0
0
0
3
0
1
1
0
0
0
0
0
0
1
-
0
0
1
0
1
2
36
37
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
-
0
0
0
0
0
37
38
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
-
0
0
0
0
38
39
0
0
1
1
0
0
0
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
-
0
0
0
39
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
-
0
0
40
41
0
1
0
1
1
1
0
0
0
0
0
0
0
1
0
1
0
1
0
2
0
0
0
1
1
0
0
1
0
0
0
1
0
1
0
1
0
0
0
0
-
1
41
42
0
2
0
0
0
0
0
0
0
0
1
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
1
-
42
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42