0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
232
72
1
92
1
1
1
0
139
0
0
0
0
3
46
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
1
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
1
0
2
0
0
1
1
0
0
0
1
0
0
2
1
1
0
3
5
7
6
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
1
15
21
403
0
0
1
142
2
12
0
0
0
0
0
0
0
0
1
125
0
0
0
0
0
2
375
388
4
2
0
0
0
0
1
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
1
1
3
0
0
0
0
0
0
0
0
0
1
6
1
1
0
0
0
0
3
3
0
0
0
1
0
0
0
0
1
0
2
1
1
1
0
0
0
0
3
39
6
14
2
1
3
4
0
0
1
0
2
0
0
138
2
0
0
0
1
0
0
93
1
0
0
1
81
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
2
50
2
3
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
125
0
0
0
0
0
1
0
0
1
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
0
1
2
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
0
0
0
0
0
0
0
0
0
0
13
3
4
3
0
0
7
8
1
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
0
1
2
0
0
1
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
14
0
0
0
0
50
93
2
0
0
1
0
0
0
0
0
0
0
0
0
46
1
0
0
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
140
0
1
0
1
0
0
0
0
0
1
0
2
0
0
2
1
0
0
0
0
1
3
0
1
2
0
0
1
0
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
0
0
1
0
93
93
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
5
1
0
8
13
0
2
43
0
0
1
0
3
10
10
5
56
3
0
5
0
1
0
3
3
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
2
0
3
0
0
0
0
0
0
0
0
2
0
0
2
1
0
0
0
0
0
0
3
0
5
0
0
5
4
1
11
1
0
0
0
0
0
0
0
91
16
6
0
0
0
0
0
0
0
0
0
0
0
1
0
4
0
0
0
0
2
3
0
0
3
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
3
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
1
1
0
0
0
0
0
0
9
2
0
1
0
0
0
0
0
0
0
0
0
2
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
1
1
0
0
0
0
0
0
0
2
2
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
1
0
0
125
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
125
46
0
0
0
0
47
0
0
2
0
0
0
1
250
0
0
0
1
35
6
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
2
5
0
0
0
0
0
0
0
125
1
0
0
3
125
1
0
0
0
3
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
1
0
1
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
5
0
0
2
0
1
1
0
0
3
0
0
0
0
15
0
0
4
3
0
0
2
0
0
0
0
1
0
0
0
6
0
2
0
0
0
0
1
0
0
2
0
0
3
2
0
0
1
1
1
1
2
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
0
0
2
0
0
1
5
0
0
0
0
0
0
1
0
0
1
1
1
2
0
0
0
0
0
0
0
2
0
0
1
0
1
0
0
2
5
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
22
3
2
10
1
10
0
0
1
0
0
2
0
0
0
12
1
2
1
0
0
0
1
2
0
0
1
0
0
0
0
1
0
0
22
23
0
49
4
1
0
2
1
2
0
0
0
46
1
0
0
1
4
0
1
0
0
0
125
0
0
0
0
3
0
0
0
0
0
0
3
0
0
0
0
0
0
0
3
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
3
0
1
4
1
0
0
0
0
1
0
3
0
4
2
0
1
2
0
0
0
0
0
2
4
2
1
2
3
1
2
3
0
1
0
0
0
0
0
7
1
7
0
5
1
4
0
0
1
1
3
4
1
0
3
0
1
4
1
0
2
0
0
0
4
4
2
7
7
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
2
29
0
0
0
0
49
46
93
46
1
0
0
0
0
0
0
13
0
0
0
1
0
0
0
0
0
4
0
0
0
1
0
0
3
1
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
3
0
1
0
0
0
250
1
3
2
0
0
0
0
3
0
0
0
0
1
0
125
1
0
0
0
0
0
1
0
5
0
0
1
1
0
0
0
0
0
0
250
0
0
0
0
0
0
0
0
0
0
1
1
2
0
0
125
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
1
0
125
0
2
1
0
1
0
0
1
0
0
0
0
0
2
0
1
0
2
0
0
2
0
0
0
1
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
0
0
0
0
0
0
0
1
47
0
1
46
0
1
0
0
0
1
0
0
0
1
0
0
0
2
6
2
0
1
0
4
0
0
0
46
50
301
95
0
0
0
0
0
0
46
0
0
0
0
0
0
0
0
1
3
0
0
0
0
0
0
0
0
125
0
0
0
0
2
0
0
0
0
0
0
0
3
125
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
3
2
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
1
0
0
1
0
0
0
3
0
0
0
2
48
2
5
1
0
6
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
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
251
0
0
0
0
0
0
1
0
0
0
0
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
13
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
0
0
0
0
1
2
5
5
0
0
1
0
0
0
0
2
0
35
0
0
0
1
0
0
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
2
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
2
2
3
0
0
1
0
0
0
0
46
0
3
46
4
96
0
0
0
0
0
0
0
0
2
0
3
3
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
1
0
0
0
0
0
0
0
0
0
0
35
3
1
0
0
0
0
0
0
4
0
5
47
48
0
0
0
1
1
0
1
0
4
0
0
0
149
11
0
1
6
0
1
0
2
0
0
0
3
0
0
1
0
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
10
13
0
0
0
1
92
1
0
0
0
0
2
0
0
0
1
1
0
0
0
3
0
11
0
4
2
10
6
5
2
0
1
0
0
0
0
0
0
0
3
1
1
0
0
1
0
1
0
2
0
2
1
0
0
4
1
5
5
1
3
0
0
2
0
0
2
0
1
12
7
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
6
0
1
0
1
0
1
0
1
1
0
0
0
2
0
0
0
0
2
1
1
0
0
2
0
0
0
0
0
0
1
1
1
3
0
0
1
0
0
0
0
0
0
49
2
0
0
4
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
47
0
0
0
1
0
0
0
0
0
1
0
0
1
0
0
1
0
0
0
0
0
1
2
1
0
0
1
2
0
0
5
45
13
30
5
0
0
0
1
1
1
0
1
0
2
7
2
1
0
4
0
125
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
2
1
0
0
2
6
1
0
0
0
5
2
1
1
3
7
6
6
5
0
0
0
4
0
0
0
2
6
2
0
0
1
3
5
1
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
0
0
3
0
1
0
0
0
0
0
0
0
0
0
0
5
1
1
0
0
0
0
0
0
0
0
0
1
0
6
0
0
0
1
0
4
3
2
0
3
2
2
2
2
0
0
0
0
0
0
0
0
1
2
0
14
7
5
7
0
1
0
0
0
2
1
2
0
2
12
4
0
2
3
3
4
0
0
1
5
4
0
0
0
0
0
0
0
5
1
0
3
0
5
0
0
1
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
1
1
0
5
1
3
0
0
0
0
0
0
2
19
4
0
1
0
0
6
0
2
0
1
0
1
5
1
0
0
0
0
0
0
1
1
8
1
2
0
0
1
1
1
2
0
1
2
3
3
2
3
3
3
2
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
128
2
0
0
2
0
1
0
0
0
0
0
135
2
56
0
0
0
0
1
0
1
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
5
2
0
0
0
125
0
0
0
0
0
1
0
1
2
0
0
0
0
0
47
0
0
3
0
1
0
3
0
0
0
0
2
0
0
0
0
3
0
5
0
1
0
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
0
0
1
0
0
0
0
2
1
0
415
145
127
1
1
0
1
0
1
0
0
0
0
0
0
1
0
125
1
0
2
0
0
0
2
0
0
3
2
0
0
0
1
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
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
1
1
0
0
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
3
0
0
1
0
5
12
3
4
0
0
0
0
0
0
51
0
1
1
0
0
0
0
0
0
0
1
1
0
0
1
2
2
0
1
0
0
1
1
0
0
0
1
0
1
1
0
0
0
2
0
1
0
0
0
3
0
5
0
0
0
2
2
0
1
0
0
1
0
1
16
2
2
0
1
3
0
0
2
1
0
0
8
0
1
1
0
3
0
0
0
1
1
0
0
2
3
3
0
4
0
0
0
1
0
0
0
2
0
0
6
1
2
1
1
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
1
0
0
0
0
0
0
1
0
0
6
3
1
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
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
1
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
0
0
1
0
0
1
0
0
0
1
1
0
36
0
0
1
0
0
1
0
0
0
0
0
1
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
0
161
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
5
1
0
1
125
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
0
0
0
0
1
0
0
1
0
1
1
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
6
3
1
0
0
0
0
0
2
0
0
0
0
1
1
0
0
2
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
125
0
0
0
0
4
2
2
0
0
1
0
1
0
0
1
0
0
1
1
2
0
0
2
2
0
0
0
0
0
0
2
0
1
0
1
0
0
0
2
2
2
0
0
4
1
1
0
1
0
2
5
2
0
1
1
36
1
2
1
2
60
0
1
1
0
0
0
0
0
0
0
92
0
0
10
5
1
1
1
0
0
1
0
0
20
96
0
0
0
0
0
0
48
0
15
0
1
47
7
1
2
3
3
3
0
0
1
0
0
0
0
0
0
