0
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
1
0
0
0
1
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
1
0
1
3
0
0
0
0
0
15
0
0
1
0
0
7
0
2
0
0
0
0
0
1
0
1
11
0
0
0
0
0
0
0
0
4
0
1
0
0
0
0
3
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
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
7
125
0
0
6
0
0
1
2
4
2
0
0
4
0
0
1
0
0
1
0
1
0
0
125
0
1
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
1
1
0
2
0
0
0
0
125
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
36
0
0
0
1
0
0
0
0
0
0
2
0
0
8
1
0
0
125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
375
125
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
7
0
1
0
0
1
0
0
0
0
0
0
0
0
2
0
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
2
1
0
0
3
0
0
0
0
0
1
0
0
2
0
0
2
0
1
0
0
2
1
48
5
0
0
1
0
0
1
0
0
1
125
0
0
0
0
0
0
0
0
0
46
3
0
1
2
0
0
0
3
2
0
3
2
49
0
2
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
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
3
2
0
0
0
0
0
35
0
125
0
0
0
0
0
0
125
2
0
0
0
0
46
0
0
0
0
0
1
0
0
0
6
0
0
0
46
0
0
1
2
1
5
0
1
0
0
0
1
3
126
0
1
2
3
0
0
1
0
0
1
5
13
3
0
0
0
0
0
1
4
0
0
0
375
0
1
0
0
0
0
46
0
0
0
0
0
0
0
0
0
0
0
0
3
0
1
2
0
0
1
1
3
0
1
0
2
46
1
1
0
0
2
0
2
0
3
0
0
46
0
47
0
0
2
0
0
36
0
0
0
0
0
0
0
2
95
232
2
10
0
4
3
7
2
56
53
14
2
0
9
0
4
1
1
0
2
46
0
1
0
0
0
1
1
0
0
0
0
0
46
0
0
0
0
1
0
0
0
0
1
0
1
0
0
0
1
125
0
0
0
0
0
0
0
0
1
0
2
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
5
2
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
4
0
0
0
1
1
3
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
125
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
46
0
103
0
0
46
0
0
0
0
46
0
0
1
193
46
139
51
0
0
0
0
0
0
0
0
0
3
4
0
0
5
0
0
0
0
0
0
0
0
3
2
0
0
0
0
0
0
3
1
1
2
2
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
1
2
2
0
0
0
3
0
3
2
0
0
0
1
0
0
0
0
1
4
0
2
1
0
0
35
0
0
2
0
5
0
0
0
0
0
0
0
0
0
0
1
5
0
1
1
1
0
0
0
0
0
125
0
0
2
0
0
0
0
0
1
0
0
125
0
4
5
7
0
2
0
0
0
2
1
0
0
0
0
0
5
8
0
0
0
0
0
0
1
0
1
0
1
6
1
0
0
1
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
2
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
1
3
3
1
36
0
0
0
1
2
0
0
1
35
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
35
0
0
0
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
0
0
0
0
0
0
0
0
2
2
0
0
1
0
0
0
0
0
0
0
0
2
0
2
2
0
0
0
0
0
2
0
8
0
5
0
0
35
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
4
2
1
3
0
0
1
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
37
1
0
0
0
2
1
0
1
4
0
0
0
3
0
0
250
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
2
0
1
1
0
0
0
1
0
1
0
0
0
2
2
0
24
2
1
8
0
0
0
0
0
0
0
1
4
0
0
0
144
0
0
0
0
1
0
0
0
1
2
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
3
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
1
0
2
7
1
0
0
0
0
0
0
0
0
0
3
0
0
0
6
2
0
0
0
1
0
0
0
0
0
2
1
0
1
1
0
46
46
0
0
0
0
0
125
1
1
7
4
0
0
0
1
0
1
0
0
0
0
0
1
0
0
2
5
2
0
0
1
0
0
2
1
0
0
0
0
0
1
4
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
2
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
125
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
2
0
1
0
0
1
1
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
1
94
0
1
0
0
46
1
0
0
0
0
0
0
0
0
0
0
0
0
0
125
1
1
0
0
0
35
1
1
4
0
0
0
0
1
1
0
0
0
0
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
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
1
0
0
0
0
0
2
0
0
0
1
1
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
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
1
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
175
4
0
1
0
2
0
1
0
0
125
0
0
0
0
0
0
2
3
8
4
0
2
0
0
8
125
3
0
2
0
0
0
0
0
0
0
0
0
4
1
9
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
5
0
0
0
2
0
0
0
0
2
0
46
0
0
0
0
0
0
1
0
0
0
0
0
0
9
2
0
0
1
0
0
0
0
3
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
2
0
103
46
52
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
46
0
0
0
0
0
0
6
0
1
0
46
1
3
3
0
0
0
5
0
0
0
1
0
1
1
5
4
1
0
3
1
3
0
0
0
0
2
1
2
2
1
1
2
0
0
0
0
0
2
3
1
2
3
0
27
8
19
14
4
25
0
0
35
0
0
0
0
0
0
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
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
35
0
0
4
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
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
46
0
0
0
0
1
0
3
0
0
0
6
0
1
0
0
2
0
1
190
0
0
0
48
0
1
0
1
1
4
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
125
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
3
0
0
0
0
0
3
0
0
1
0
0
3
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
1
0
0
0
0
0
3
0
0
1
1
0
0
0
0
0
0
0
1
1
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
2
0
1
3
0
3
7
4
2
9
8
0
0
1
12
5
1
2
3
0
2
0
3
0
0
1
2
0
0
0
4
0
2
0
1
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
2
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
2
4
36
1
0
0
0
0
0
0
3
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
1
1
0
0
0
0
4
0
0
0
0
2
1
0
0
0
0
0
0
36
0
0
0
0
1
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
3
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
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
2
0
0
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
2
1
2
2
2
1
0
0
0
0
35
1
0
0
0
2
5
1
0
1
0
1
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
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
1
0
0
2
1
2
1
0
0
0
1
1
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
1
0
0
35
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
35
0
0
0
0
35
1
2
0
1
1
0
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
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
0
0
0
0
0
0
0
5
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
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
5
3
1
9
2
0
2
1
0
0
0
1
1
1
3
1
0
1
0
0
0
0
1
0
0
0
0
1
35
1
0
0
3
0
1
4
2
0
0
0
1
0
0
0
0
1
0
0
3
0
0
36
0
0
0
0
4
2
0
0
7
0
0
0
2
0
0
0
0
0
0
0
0
2
2
0
1
0
47
0
0
1
0
1
0
0
0
0
38
2
2
125
0
1
1
0
0
0
1
0
0
0
0
0
125
3
0
0
1
2
1
1
0
0
1
0
0
1
0
0
0
1
2
0
0
0
0
0
0
0
0
4
1
1
0
1
5
7
2
0
0
1
0
0
0
0
1
0
0
0
0
4
0
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
1
0
0
2
0
0
1
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
2
0
0
2
0
0
0
0
0
0
0
125
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
3
0
2
0
0
0
0
0
1
1
0
0
0
0
1
1
1
1
128
0
125
0
1
1
2
2
0
0
0
1
0
0
1
0
0
0
0
1
2
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
1
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
6
0
0
0
2
2
9
8
0
0
0
0
3
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
1
0
1
0
0
0
0
1
0
0
0
9
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
1
3
0
0
0
1
0
1
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
4
2
6
1
0
0
0
0
0
0
0
0
126
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
0
0
2
0
3
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
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
1
0
0
1
0
0
0
0
0
5
48
95
6
0
0
0
0
1
2
0
0
1
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
1
2
0
0
0
0
0
0
0
0
2
0
2
0
0
2
1
0
1
0
0
0
0
0
2
0
0
0
2
0
4
1
0
0
0
1
0
1
0
0
5
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
4
0
2
3
0
0
0
1
0
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
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
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
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
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
0
0
2
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
0
0
0
4
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
1
0
0
0
0
0
0
0
0
0
125
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
376
0
1
0
0
0
0
0
0
0
0
0
0
4
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
2
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
46
47
0
0
1
0
0
0
0
0
46
0
0
0
0
0
0
0
125
0
0
0
0
0
0
94
0
0
2
0
50
0
0
0
46
2
0
0
0
2
1
70
0
0
0
0
0
0
0
2
1
0
0
1
126
0
0
0
0
0
0
0
0
0
0
0
125
0
1
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
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
1
35
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
1
0
0
0
0
46
1
0
1
1
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
0
0
0
2
1
0
0
0
1
0
0
0
0
1
0
0
0
6
0
1
0
0
0
1
0
0
0
2
3
0
1
1
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
1
0
8
0
0
0
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
46
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
3
0
0
0
0
3
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
46
0
1
0
0
0
0
0
0
0
0
0
0
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
2
0
0
2
2
7
8
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
1
0
2
3
0
2
0
0
1
0
0
3
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
48
0
0
0
0
0
0
0
0
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
4
1
1
0
0
0
7
0
0
0
0
0
0
0
1
0
0
0
0
1
1
2
2
1
0
0
2
2
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
0
0
0
0
0
0
0
0
0
0
1
2
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
0
0
0
0
0
0
0
0
0
0
0
46
0
147
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
4
48
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
46
54
96
46
47
0
0
2
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
2
0
0
0
0
0
0
125
0
0
0
0
0
0
0
0
0
0
0
0
3
1
8
0
0
0
0
0
0
19
1
0
1
0
0
0
1
0
3
0
1
2
0
2
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
0
0
0
0
0
0
0
0
1
0
0
0
35
1
1
0
1
2
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
2
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
9
2
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
1
0
0
0
1
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
1
0
0
0
0
2
2
92
46
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
7
1
0
1
1
0
1
0
20
17
9
0
0
9
1
1
0
0
46
47
257
46
0
0
0
0
2
0
0
125
92
0
0
0
0
0
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
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
4
0
0
0
0
0
0
0
0
1
0
1
0
2
0
0
0
0
0
0
1
0
0
125
0
0
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
1
0
0
0
0
0
0
0
0
0
4
0
126
0
0
0
1
0
0
0
0
0
0
125
0
0
0
0
0
0
4
3
0
0
0
0
0
0
2
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
0
1
0
0
0
0
1
1
0
0
2
0
0
3
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
1
2
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
1
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
4
0
1
0
0
0
0
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
3
0
3
5
0
0
1
0
0
0
0
0
127
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
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
2
2
0
0
0
0
0
2
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
4
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
35
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
1
2
2
0
0
0
0
1
0
0
126
0
7
1
5
8
2
0
2
3
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
35
4
1
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
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
1
125
0
0
0
5
0
1
20
0
2
13
3
214
0
2
0
1
1
0
1
0
0
0
0
125
0
0
0
2
6
0
0
2
0
3
1
0
0
125
0
0
1
0
0
0
2
0
0
0
0
4
0
0
0
2
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
3
1
0
0
1
0
0
1
0
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
7
0
0
0
0
0
0
0
0
0
3
0
125
0
0
0
0
0
0
0
0
0
0
0
0
0
3
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
2
0
1
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
2
0
0
5
0
0
2
0
0
1
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
35
1
0
0
0
0
0
1
2
1
19
1
1
4
0
13
19
5
2
1
2
2
1
4
0
0
2
1
5
1
0
7
0
4
2
2
1
0
1
0
0
2
4
0
6
5
2
141
0
18
1
0
3
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
125
0
0
0
1
0
0
1
1
0
129
2
0
0
2
0
4
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
1
1
2
2
0
9
15
0
0
0
1
1
0
0
2
1
0
0
0
0
0
0
0
0
0
0
127
250
0
0
0
130
3
5
3
0
2
8
13
0
2
49
47
1
1
2
1
1
1
3
0
57
10
16
53
2
11
2
4
6
15
1
4
99
2
0
6
4
2
9
0
0
0
1
2
2
4
53
0
5
51
10
95
4
2
0
0
2
1
0
1
1
2
1
0
1
0
1
2
3
0
1
0
0
1
2
0
2
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
126
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
3
1
0
0
0
0
1
0
0
1
0
0
1
0
3
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
3
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
0
0
0
0
0
0
0
2
0
3
0
0
0
1
1
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
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
1
2
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
3
7
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
0
0
0
1
0
0
2
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
35
0
0
0
0
128
0
0
0
0
0
0
0
1
0
0
5
0
2
0
0
1
125
0
0
0
3
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
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
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
1
2
0
0
1
0
0
0
0
1
0
0
0
0
0
0
2
0
0
2
1
4
0
0
0
0
2
0
0
0
0
5
2
6
16
125
1
21
10
7
2
1
4
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
1
0
0
0
0
0
2
0
0
0
2
3
4
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
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
0
0
0
1
0
0
0
0
0
0
0
1
2
0
1
2
7
0
0
0
0
0
0
0
1
0
1
8
0
0
0
0
0
2
0
2
0
0
0
0
0
0
0
126
0
0
0
0
1
0
0
2
0
0
0
1
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
1
0
0
0
2
0
1
0
0
1
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
46
0
2
0
2
2
0
0
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
3
2
0
0
0
2
3
4
0
0
0
0
1
2
2
0
0
0
1
0
2
0
0
0
1
46
0
0
0
0
0
0
36
0
0
0
125
0
0
2
0
0
0
35
0
0
0
0
1
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
0
0
2
70
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
0
1
0
0
0
2
0
0
0
1
2
0
0
0
0
0
0
0
3
0
96
92
0
46
47
3
0
2
1
0
0
1
0
142
0
0
0
0
0
0
1
3
1
0
1
1
0
0
2
1
125
0
94
1
0
0
0
0
0
0
0
0
0
2
0
0
2
3
0
0
0
1
0
0
2
0
3
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
2
0
0
0
4
0
0
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
1
0
4
0
2
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
2
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
2
4
0
0
0
0
2
0
0
0
1
1
0
0
1
0
2
6
1
1
0
0
3
0
1
47
140
3
1
1
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
2
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
1
1
0
0
0
0
1
1
0
0
0
2
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
0
0
0
0
5
3
1
47
47
2
0
0
0
0
2
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
0
2
2
2
2
0
0
0
4
1
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
2
0
1
0
0
2
2
1
2
0
0
1
0
0
0
0
2
1
0
0
1
125
0
0
1
0
0
0
2
0
0
0
3
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
3
1
2
6
2
0
0
0
0
0
0
3
0
2
0
20
0
4
0
0
0
3
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
2
0
0
0
0
0
1
0
1
0
0
0
4
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
1
0
2
0
1
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
5
0
0
0
1
0
0
0
2
0
0
0
0
0
0
4
7
0
2
1
0
0
0
0
0
0
0
0
1
38
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
3
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
1
1
0
0
0
1
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
1
0
0
0
0
1
2
0
125
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
125
0
0
0
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
1
0
4
2
5
2
6
2
0
0
0
2
0
0
125
0
0
3
0
8
1
0
2
1
2
13
4
0
0
0
1
1
46
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
3
47
0
2
0
1
0
0
2
0
0
0
0
0
2
0
46
0
2
0
0
4
0
2
0
0
0
0
0
0
0
0
1
2
3
3
0
0
0
0
0
1
1
0
0
2
1
1
0
97
4
1
6
1
3
2
1
0
1
0
3
0
0
0
0
0
1
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
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
125
1
0
0
0
1
0
0
250
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
4
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
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
35
0
0
0
0
0
0
3
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
125
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
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
125
0
125
0
0
0
0
0
0
0
0
0
3
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
0
2
1
0
0
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
35
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
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
2
2
0
0
0
0
2
0
0
2
1
0
1
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
1
6
0
0
0
0
7
0
0
0
0
3
0
2
3
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
2
0
0
0
2
0
2
1
0
1
0
0
0
0
1
0
0
2
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
4
0
0
0
1
1
2
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
1
3
0
1
0
0
1
0
0
0
0
0
0
0
6
1
0
0
0
0
5
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
1
0
0
47
0
0
0
3
2
0
0
2
0
1
0
21
0
0
0
1
3
1
1
0
0
0
0
0
0
2
0
0
0
1
6
2
0
0
2
0
0
0
6
0
0
0
0
0
1
0
1
1
2
0
1
0
2
0
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
1
1
0
0
5
1
0
0
0
1
1
0
0
0
1
1
1
0
0
0
3
2
0
0
0
0
0
2
2
0
0
0
0
0
0
1
0
0
47
0
1
0
0
0
0
0
0
93
0
47
0
1
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
2
283
1
95
0
0
140
0
0
3
1
0
0
0
2
0
0
2
0
0
0
0
0
0
0
2
0
0
0
0
0
47
2
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
3
0
0
0
0
0
0
0
0
0
1
0
0
2
0
1
0
2
0
0
0
0
2
0
0
0
0
0
0
0
0
2
2
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
1
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
0
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
125
0
0
1
2
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
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
3
1
1
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
2
0
0
0
5
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
2
2
4
2
47
0
0
0
0
0
3
0
1
0
0
0
1
0
0
3
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
1
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
3
0
2
0
3
4
1
1
13
2
4
5
5
1
1
3
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
2
1
7
1
3
0
49
13
0
1
0
1
1
0
0
1
1
1
4
2
0
0
2
0
0
1
1
5
0
3
126
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
6
46
48
0
6
1
0
0
1
0
0
0
5
2
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
1
0
0
0
0
0
0
0
0
0
0
0
0
27
19
1
0
0
1
0
1
0
0
0
6
7
9
23
1
1
0
0
3
2
0
1
0
2
1
0
1
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
9
0
0
2
1
0
6
0
2
0
3
0
2
2
0
0
0
9
0
4
6
0
0
0
1
0
1
6
9
2
1
0
6
3
0
1
33
0
0
0
0
0
0
0
18
2
0
0
0
0
0
0
3
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
160
0
0
4
2
2
0
2
3
0
1
1
0
0
0
0
1
6
1
0
0
0
2
0
1
4
1
0
1
2
0
0
1
2
48
1
0
0
49
1
0
0
0
0
4
0
0
0
0
0
0
0
1
0
0
1
0
0
2
0
0
1
0
4
2
3
0
1
0
0
0
0
2
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
1
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
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
1
1
0
0
0
0
2
36
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
1
0
0
0
1
0
0
3
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
81
0
0
0
0
0
134
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
4
0
0
2
1
0
0
1
54
0
0
0
0
2
0
2
0
0
0
0
3
15
1
1
2
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
4
1
0
0
1
0
0
0
0
0
0
9
0
163
283
11
36
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
35
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
0
1
0
0
0
0
0
0
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
1
0
0
2
3
1
2
0
46
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
36
0
0
0
0
0
0
0
1
0
2
9
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
46
48
192
118
324
0
2
0
2
1
103
0
0
13
6
0
0
0
1
0
3
1
0
0
0
0
1
2
35
87
126
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
1
0
0
8
1
0
0
0
1
0
7
0
0
2
0
130
0
0
1
0
0
14
0
0
0
0
11
0
0
0
0
4
3
132
2
2
0
1
6
0
0
0
0
1
0
2
1
2
0
0
0
0
0
7
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
125
0
0
1
0
7
3
0
0
0
0
0
3
0
0
1
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
1
0
0
0
0
2
0
3
2
5
0
2
0
3
2
0
0
0
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
5
8
0
1
0
0
0
0
3
0
0
0
0
125
3
1
2
0
9
2
0
0
130
0
1
0
0
1
3
0
0
0
4
0
125
0
1
1
0
0
1
0
4
0
5
0
0
5
4
0
0
7
0
3
4
2
1
1
1
6
5
1
1
1
1
0
0
7
51
1
1
0
1
0
0
6
0
9
1
28
0
20
8
19
12
5
0
1
2
1
3
0
0
0
5
1
0
1
0
4
0
1
4
9
41
5
4
1
2
0
10
4
2
15
12
15
2
4
0
4
1
3
0
3
2
0
1
0
0
0
0
0
1
0
2
0
0
5
1
1
1
1
1
0
0
0
0
1
0
0
2
4
1
2
0
0
1
0
0
1
0
2
3
4
5
11
0
0
0
1
0
0
1
2
0
0
0
0
0
3
0
16
6
7
1
5
5
23
3
0
6
2
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
125
47
0
93
2
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
3
2
1
0
0
0
0
0
0
0
0
0
0
4
0
1
0
1
2
11
8
0
0
0
0
0
4
1
1
0
5
0
0
0
0
3
2
7
0
0
0
1
1
125
1
0
0
3
0
0
1
7
2
0
6
1
0
0
0
0
0
0
0
4
0
0
2
3
1
0
1
0
2
4
0
0
0
0
0
1
2
0
0
1
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
1
1
4
0
0
1
0
0
0
0
2
1
0
0
3
0
0
2
0
0
0
2
1
0
0
0
3
0
0
0
4
1
0
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
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
1
1
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
3
125
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
1
1
1
0
0
2
0
1
1
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
5
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
1
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
125
0
0
0
0
0
0
0
0
1
0
0
0
0
3
1
1
0
1
1
0
1
2
250
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
3
0
0
0
0
0
1
0
0
126
0
0
0
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
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
4
0
0
0
0
0
2
0
1
0
1
0
0
0
0
0
0
0
0
3
0
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
1
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
125
0
0
2
2
0
1
0
0
0
0
1
0
1
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
2
0
0
0
0
1
0
0
0
3
0
2
14
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
125
0
0
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
9
5
6
1
12
0
0
125
0
0
0
0
0
1
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
1
0
0
0
1
0
1
3
2
0
0
1
0
0
0
125
2
0
0
0
125
0
1
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
6
0
0
5
7
1
1
100
6
5
6
2
4
1
1
1
0
0
0
4
0
0
3
2
0
0
0
1
0
2
0
0
0
0
0
0
0
0
0
1
0
0
3
2
0
0
0
0
3
1
1
4
0
0
0
0
0
1
0
1
3
5
0
0
46
1
143
2
0
6
0
0
0
1
0
0
0
1
0
0
0
125
0
35
0
0
0
0
0
0
1
4
0
0
1
0
0
0
0
0
0
0
0
2
20
5
0
0
0
0
24
14
20
5
1
0
127
1
1
0
0
0
46
0
0
0
0
0
0
0
0
0
0
0
1
1
2
3
0
0
0
0
0
0
2
3
0
0
125
0
0
36
0
0
0
0
0
0
0
0
0
0
0
125
0
0
0
0
0
0
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
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
1
0
0
0
0
0
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
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
0
0
46
0
0
47
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
47
0
2
1
48
0
0
0
0
0
0
0
0
0
0
2
0
4
0
2
3
11
0
0
0
0
5
4
0
7
7
0
7
1
3
1
1
0
0
0
3
1
7
0
0
0
3
3
3
1
2
0
0
0
1
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
1
0
1
0
2
3
0
0
0
6
1
2
16
3
2
0
35
3
0
0
1
3
0
1
0
0
0
0
0
0
0
7
0
0
0
0
2
0
0
6
2
1
0
2
0
0
0
1
0
0
0
0
0
0
0
0
3
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
2
2
0
0
0
0
0
0
0
0
0
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
3
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
2
2
4
2
0
7
1
0
0
0
2
0
0
0
0
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
36
0
1
0
0
4
0
0
0
0
0
0
0
0
0
2
4
0
0
1
1
0
1
0
1
0
0
0
0
0
0
1
1
0
0
2
0
0
0
0
1
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
4
0
1
1
0
0
0
1
2
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
0
0
1
0
0
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
5
375
1
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
4
0
0
0
0
0
0
35
0
0
2
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
0
0
1
1
0
1
0
5
0
4
0
4
0
1
7
1
1
0
2
4
0
0
125
0
0
3
4
0
0
0
1
0
0
0
0
0
1
0
0
0
2
1
0
3
1
0
1
0
0
1
3
0
0
0
0
1
2
4
0
0
0
0
1
1
0
2
7
0
1
1
0
0
0
0
0
2
0
2
0
0
1
0
0
0
0
0
0
0
2
1
3
1
4
0
0
0
0
0
0
1
0
0
0
0
0
0
0
35
0
0
2
0
0
0
0
126
0
0
0
0
0
3
0
4
1
6
0
0
0
0
1
0
0
0
0
4
3
3
3
2
3
3
2
5
4
10
1
0
0
2
0
1
0
2
0
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
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
126
0
0
0
1
0
1
0
2
2
0
0
0
1
0
1
0
2
0
0
1
0
0
0
0
0
0
0
1
1
3
1
1
2
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
0
0
0
0
0
0
0
1
0
0
6
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
92
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
9
0
0
3
0
0
0
1
128
0
0
0
1
2
35
0
1
0
2
5
3
0
0
1
1
2
4
19
39
2
2
2
6
10
0
0
1
0
3
2
11
1
0
3
2
0
2
1
0
2
1
1
0
2
3
1
9
0
5
1
0
2
0
0
0
0
0
1
0
13
0
4
0
1
0
3
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
2
0
0
0
0
35
0
0
125
8
1
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
1
0
0
47
0
0
0
0
0
0
46
0
0
0
0
0
0
1
0
0
0
7
2
1
0
0
50
8
1
0
0
2
0
0
1
0
3
0
0
1
1
0
0
0
0
0
0
0
1
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
0
1
0
0
2
4
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
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
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
1
2
0
1
4
0
0
1
0
0
0
0
0
1
4
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
250
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
5
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
0
1
11
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
2
2
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
251
0
0
0
0
0
0
0
0
3
0
0
0
1
0
1
0
1
1
1
0
1
3
0
0
2
0
0
0
1
0
0
0
0
0
0
0
3
0
2
0
0
3
0
0
1
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
1
0
125
0
0
0
0
1
1
0
0
2
1
0
0
0
0
0
0
1
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
2
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
2
0
0
0
0
0
1
0
0
0
0
0
0
0
70
0
0
0
0
0
0
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
1
0
0
0
2
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
4
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
125
0
125
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
1
1
0
0
12
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
2
0
2
0
4
0
2
4
0
0
1
126
0
0
2
0
0
1
0
0
1
0
0
0
0
1
2
4
0
2
1
0
2
0
0
0
1
2
0
0
2
1
0
0
0
0
0
0
0
2
1
0
15
0
1
0
2
0
0
7
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
1
2
0
0
0
0
0
1
1
0
0
0
1
0
2
2
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
1
1
19
27
0
0
1
0
0
0
0
0
0
0
2
6
0
0
1
35
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
