0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
5
0
0
0
0
0
1
0
0
0
0
0
0
9
0
2
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
4
2
1
6
0
0
0
0
0
0
0
0
0
8
0
0
0
39
0
0
2
3
0
0
0
0
0
0
1
0
1
0
0
6
0
0
0
0
0
99
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
3
0
0
0
0
0
0
0
0
1
0
0
7
0
1
20
0
4
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
12
0
1
33
2
1
0
0
0
0
0
1
0
10
0
0
0
40
5
0
1
2
0
0
0
0
0
0
1
0
3
0
2
1
0
0
4
0
0
133
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
9
0
0
0
0
0
0
1
0
0
0
0
0
0
0
24
0
0
1
0
0
4
0
0
3
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
12
0
4
25
6
0
0
0
0
0
0
0
0
1
0
0
3
40
0
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
5
0
0
47
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
0
4
0
1
0
0
0
4
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
2
0
1
4
4
0
0
0
0
0
0
1
0
10
0
0
4
68
3
1
7
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0
0
0
123
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
7
7
0
1
0
0
0
0
0
0
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
1
1
0
0
0
0
0
0
0
0
55
0
0
0
3
0
3
0
0
52
0
0
0
0
0
0
0
0
3
0
0
0
0
1
0
34
0
0
0
1
0
0
0
0
4
0
1
0
0
1
4
0
0
5
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
3
0
11
0
7
21
3
0
0
0
0
0
0
0
0
6
0
0
0
90
1
0
10
0
0
0
0
0
0
0
0
0
1
0
0
4
8
0
2
0
0
83
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
7
0
2
0
0
0
0
1
0
0
0
1
1
0
7
19
0
4
6
0
0
3
1
0
1
0
0
3
0
0
0
0
0
0
0
0
0
5
0
0
0
0
1
0
0
0
14
0
38
35
20
0
0
1
4
0
0
4
0
8
0
0
0
165
5
0
17
0
0
0
0
0
0
0
1
0
0
0
0
2
0
0
5
0
0
584
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
2
10
0
0
6
0
0
1
3
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
4
16
4
0
0
0
0
0
0
0
0
16
0
0
0
34
9
11
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
159
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
7
0
0
1
0
0
0
0
0
1
0
0
0
0
7
11
0
0
1
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
3
2
1
5
0
0
0
0
0
0
0
0
0
10
2
0
0
79
53
0
5
0
0
1
0
0
0
0
2
2
2
0
0
0
0
0
1
0
0
324
0
1
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
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
3
0
0
0
0
0
1
0
0
0
6
3
0
0
29
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
94
0
0
0
0
0
0
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
2
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
9
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
38
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
9
0
0
0
0
0
0
1
0
6
0
0
0
0
12
18
0
0
9
0
3
20
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
17
6
0
0
2
0
0
0
0
0
64
1
0
0
323
11
1
8
1
0
0
0
1
1
0
1
3
0
0
0
5
4
0
4
0
0
548
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
12
0
0
0
0
0
0
0
1
0
0
0
0
1
7
35
0
12
3
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
5
0
1
0
0
0
0
0
0
0
9
0
78
10
3
0
0
0
1
3
0
0
0
3
1
0
0
48
4
0
3
0
0
0
0
0
0
0
0
0
3
0
0
1
0
0
8
2
0
170
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
3
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
1
5
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
0
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
5
0
0
55
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
0
0
0
0
3
0
0
0
12
1
0
7
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
97
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
11
0
0
0
0
0
0
1
2
5
0
0
0
0
17
6
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
6
0
22
0
2
16
5
0
0
0
0
0
0
0
0
17
0
0
0
66
8
1
19
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
8
0
0
133
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
11
4
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
1
4
7
0
0
0
0
0
1
0
0
3
6
0
0
0
8
7
31
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
5
0
0
50
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
0
2
0
0
0
0
2
0
3
0
0
1
1
2
29
0
1
0
0
0
3
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
22
0
0
2
4
0
0
0
0
0
0
0
0
14
0
0
0
90
5
1
9
1
0
0
0
0
0
0
4
0
0
0
0
2
3
0
7
0
0
161
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
1
0
1
0
0
0
0
4
25
0
1
3
0
0
0
7
0
9
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
6
2
20
13
0
0
0
0
0
0
0
0
4
0
0
0
73
7
3
0
0
0
0
0
5
0
0
2
0
3
0
0
0
1
0
5
0
0
118
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
0
0
0
0
0
0
0
1
0
0
6
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
12
0
1
0
0
0
0
0
0
1
0
0
0
0
1
25
0
0
6
0
0
0
2
0
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
0
5
1
1
10
6
0
0
0
0
0
1
0
0
0
0
0
0
61
4
1
4
0
0
0
0
0
0
0
1
0
0
0
7
7
1
0
2
0
0
87
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
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
3
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
30
0
0
0
0
0
0
0
0
0
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
2
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
