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