0
3
7
0
0
125
0
1
0
0
0
8
0
0
0
0
5
5
0
0
3
3
0
4
0
1
0
7
8
0
0
0
0
0
7
8
3
7
0
0
0
4
5
6
1
0
0
0
35
0
6
1
3
0
0
0
4
6
0
8
0
5
107
0
0
0
7
0
6
6
5
0
2
0
0
107
2
0
0
8
4
5
0
5
6
0
3
0
6
0
8
0
107
2
0
0
80
0
0
0
0
7
1
1
0
8
6
8
1
0
0
0
7
0
0
6
0
0
6
5
0
0
1
6
98
6
6
8
0
3
0
0
4
0
6
8
0
0
3
0
0
0
8
0
7
17
2
5
0
0
3
1
0
8
0
0
0
7
0
6
7
6
0
4
0
6
0
4
0
6
0
7
0
0
0
8
7
0
0
0
0
0
0
62
0
0
0
0
0
0
1
7
0
1
1
161
0
0
134
0
0
0
0
0
0
0
0
0
134
7
0
0
8
0
2
4
0
7
161
152
6
5
0
0
5
5
6
0
44
6
8
3
8
4
0
8
0
7
0
5
0
0
5
2
0
3
3
0
0
134
0
1
0
0
7
2
4
0
0
0
0
5
4
4
0
0
6
4
1
0
7
2
1
0
8
0
3
0
4
7
0
0
7
125
35
0
0
5
116
26
2
7
0
5
0
0
0
4
2
0
3
1
3
3
6
8
3
0
2
0
3
1
8
7
152
0
4
80
2
1
0
0
0
8
0
3
0
6
0
0
7
0
0
1
0
0
0
7
0
4
4
6
0
0
5
0
1
0
0
0
3
3
134
5
3
0
0
0
0
0
2
2
1
8
6
5
4
143
0
0
0
0
3
0
7
5
0
7
2
2
0
0
0
4
0
2
5
0
0
0
8
3
0
0
6
0
3
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
0
0
0
3
170
1
0
2
6
0
0
7
0
0
6
2
3
62
4
2
7
8
0
7
0
6
2
1
7
4
0
1
0
8
0
2
6
0
2
0
3
1
161
0
0
0
0
5
0
0
2
0
0
4
2
0
0
8
3
0
0
1
2
0
5
0
7
0
0
7
5
0
2
4
0
0
0
0
0
0
0
3
0
7
0
0
3
0
0
3
0
8
0
0
0
6
0
0
7
0
0
0
0
0
3
7
5
8
0
0
0
0
0
0
0
4
1
7
0
0
134
0
98
2
3
0
0
5
0
8
179
0
0
1
0
44
7
0
8
3
0
6
0
5
0
7
0
3
5
4
2
0
0
0
0
0
0
7
0
7
4
125
0
0
0
3
1
6
0
1
2
2
0
0
0
0
2
7
4
6
0
0
0
4
1
0
6
0
6
8
0
4
0
0
4
0
4
1
0
5
0
0
0
5
0
0
0
0
6
0
5
0
0
3
35
0
0
143
7
80
0
4
0
6
0
0
0
0
0
0
3
1
0
0
4
2
6
0
0
0
0
0
0
3
3
0
1
17
3
0
6
0
6
3
0
0
7
6
0
0
0
2
4
1
3
4
4
6
0
0
3
0
0
0
0
3
8
0
0
0
5
0
3
0
0
5
0
0
0
44
5
8
2
0
0
8
4
0
2
0
1
5
0
6
4
6
3
1
6
0
0
0
1
0
0
0
0
0
0
0
0
0
26
0
7
0
6
7
0
0
1
0
0
0
0
4
0
0
5
0
7
0
0
6
3
1
0
1
0
4
0
2
0
0
5
6
0
0
0
8
0
2
2
3
0
0
2
6
0
0
0
1
0
125
0
5
5
4
8
8
3
6
0
5
0
0
2
134
134
0
0
0
8
0
2
0
2
0
0
0
0
8
0
2
0
0
0
0
0
0
6
8
4
53
0
0
2
0
1
2
0
3
5
8
6
3
89
7
6
0
3
0
0
0
1
4
6
0
3
0
0
6
7
8
4
7
0
6
3
5
0
44
0
0
2
0
0
5
4
7
0
4
0
7
4
8
3
0
134
0
0
0
0
4
0
0
0
1
7
0
0
0
0
0
7
1
0
6
0
0
7
0
8
0
44
0
2
5
3
6
6
7
3
3
0
8
0
4
5
0
0
0
6
0
0
0
0
4
5
6
8
3
0
0
0
0
0
1
7
7
7
0
3
2
0
0
107
2
0
1
0
6
0
0
4
0
8
0
5
0
4
0
6
0
0
0
0
1
1
0
7
4
8
1
0
3
3
0
0
0
4
0
4
8
1
3
2
6
3
0
7
0
0
0
2
6
4
8
2
0
0
0
7
0
0
0
0
0
0
0
80
3
0
0
0
0
0
2
0
0
161
0
0
0
0
0
0
0
0
0
0
0
6
0
0
1
2
4
7
2
44
3
0
0
0
0
8
8
3
0
4
6
5
8
4
0
4
8
0
0
7
0
0
0
0
17
0
6
0
8
0
0
0
8
2
0
0
71
0
0
0
0
0
5
0
2
6
4
0
116
0
8
3
0
0
0
8
152
2
1
8
7
0
1
0
3
1
0
0
3
8
0
6
6
5
0
0
0
0
0
134
0
0
0
0
26
0
5
3
2
0
7
2
0
0
0
4
6
7
0
0
0
0
0
0
0
4
4
0
0
0
6
0
7
7
0
2
3
4
8
35
1
8
0
0
0
3
0
2
0
0
0
0
2
0
0
0
0
8
0
0
5
7
6
0
80
0
0
0
1
0
8
1
0
3
0
7
6
0
0
5
6
0
7
6
0
0
6
0
0
0
6
5
89
0
0
2
0
0
0
6
0
6
0
1
0
0
0
0
0
8
0
6
0
0
0
0
0
0
4
1
0
0
3
0
7
0
0
5
3
8
6
0
0
3
8
5
1
0
1
0
0
0
1
0
0
5
0
2
7
0
0
0
1
44
7
5
0
0
0
4
0
8
0
2
161
0
8
6
8
4
0
4
0
0
4
0
7
0
0
6
8
0
7
0
3
26
4
0
0
0
0
0
0
44
8
0
6
0
4
0
0
89
0
0
0
6
2
6
8
0
0
8
0
3
0
1
0
2
0
0
4
0
0
0
7
7
0
98
0
0
0
0
0
5
0
7
1
3
7
0
0
134
6
5
0
3
0
7
0
6
7
4
0
2
0
7
0
0
0
2
5
0
0
1
8
5
0
0
0
2
4
1
6
0
0
6
6
6
3
0
8
3
62
0
8
0
4
0
1
0
6
6
4
0
0
0
0
5
8
0
0
0
0
5
4
3
0
5
0
0
6
8
0
7
0
0
1
0
2
4
0
0
0
0
7
1
0
6
6
0
26
2
2
1
143
0
8
0
4
1
2
0
7
0
7
0
6
0
4
0
0
3
7
0
44
0
98
3
0
6
1
5
0
0
0
1
6
0
7
4
0
2
0
0
8
0
0
0
0
0
0
1
0
0
0
3
0
0
0
1
0
7
0
0
4
0
0
0
71
6
5
0
6
5
0
0
2
6
8
2
5
4
1
0
0
0
0
0
0
0
0
6
0
0
8
6
3
0
179
0
0
2
3
0
0
0
0
0
5
0
0
2
0
0
0
2
4
0
26
6
3
0
0
0
0
8
170
8
4
7
0
0
5
1
170
44
107
0
6
0
5
7
0
0
4
3
1
0
5
0
0
7
53
0
0
0
0
0
0
5
0
0
7
6
0
8
0
0
3
1
0
35
1
7
0
26
0
0
8
0
0
0
2
0
4
6
0
2
7
0
8
0
0
0
0
0
0
5
143
6
2
4
0
0
2
0
170
4
44
6
0
0
0
5
6
2
89
7
0
0
0
0
0
0
0
0
0
0
8
0
0
0
7
1
4
0
0
4
4
0
0
1
0
0
4
1
0
1
5
1
0
0
2
1
1
0
0
6
6
0
0
0
3
0
0
7
2
0
4
0
0
5
0
6
0
44
0
8
1
7
6
0
125
8
4
0
0
0
0
0
0
3
0
125
1
8
8
0
5
0
0
3
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
8
0
0
7
7
6
4
4
2
0
0
2
0
0
0
8
2
0
6
4
0
134
1
161
0
8
0
0
3
0
6
4
107
35
0
0
0
1
161
2
2
0
4
3
0
3
4
0
5
8
3
5
1
53
6
0
7
0
0
3
0
0
0
4
7
3
0
0
5
2
1
6
0
2
3
134
3
8
5
0
0
2
5
44
6
0
0
0
8
4
1
2
1
6
2
0
0
0
6
0
2
0
0
0
3
8
7
0
1
0
4
0
3
161
0
4
3
1
0
8
0
3
0
3
0
170
2
5
6
0
0
5
1
0
0
2
7
7
0
4
0
8
4
4
0
0
0
0
35
4
5
0
0
26
5
1
0
0
7
7
5
1
0
1
0
6
0
4
5
0
4
0
0
0
0
4
8
2
7
0
0
8
8
0
0
0
0
0
0
8
5
0
0
1
0
0
0
0
8
0
0
0
2
0
6
0
0
0
0
2
6
0
0
0
0
0
5
0
0
98
1
3
0
3
4
0
0
8
3
3
0
0
0
1
5
0
3
5
3
0
1
7
4
6
3
5
0
1
0
0
3
4
2
6
0
0
0
2
0
0
0
0
5
0
1
3
1
2
0
0
1
0
5
0
3
5
0
5
3
1
2
0
6
3
0
0
5
5
0
3
5
7
0
7
0
0
8
0
6
1
0
116
6
1
0
0
0
2
0
0
3
0
7
2
0
0
0
0
0
5
3
5
0
4
0
0
2
0
0
0
0
0
4
0
0
0
0
0
3
8
7
6
0
0
0
1
2
2
8
0
0
0
3
1
2
0
0
0
0
6
4
0
26
2
35
170
0
0
0
4
0
0
6
4
8
7
0
0
0
1
2
3
6
0
0
0
4
4
0
0
0
8
0
5
0
6
0
5
0
3
4
2
7
2
5
8
44
2
0
0
6
0
26
53
0
0
2
0
0
0
0
0
0
0
0
0
0
6
0
5
4
4
0
0
5
1
0
3
0
2
4
0
0
8
5
0
0
0
0
1
0
7
0
1
0
1
0
0
8
0
8
125
0
1
2
0
5
1
8
0
179
5
0
0
2
5
0
0
0
2
0
8
0
6
0
5
0
5
0
7
0
7
6
1
5
5
17
4
0
0
7
4
7
5
4
6
1
4
1
0
0
0
0
2
4
0
0
0
0
5
0
8
0
0
0
0
8
3
0
7
0
0
0
6
0
4
0
7
7
0
0
0
0
0
0
0
0
0
0
2
0
3
4
1
0
1
0
4
0
4
125
0
8
0
0
0
5
0
0
8
2
3
3
8
0
0
0
7
0
4
0
26
0
7
0
0
26
62
0
8
0
8
1
0
4
7
8
0
0
8
0
6
8
71
2
0
0
6
1
0
0
0
0
0
1
1
0
0
5
0
0
7
0
5
0
0
152
0
0
1
0
0
0
7
0
1
7
0
2
0
0
1
6
0
0
4
0
1
0
0
6
0
4
0
1
0
0
0
1
0
1
0
7
6
7
2
0
4
4
0
0
0
0
6
0
71
0
0
0
0
6
0
3
0
6
4
0
0
0
0
0
3
0
8
8
0
0
71
0
0
0
0
1
7
0
116
134
7
0
0
0
35
1
0
7
1
2
1
0
5
0
0
0
0
0
1
0
2
0
0
0
0
0
0
1
0
2
3
0
0
5
26
5
0
0
0
0
3
5
5
8
4
8
4
170
0
0
8
6
8
1
6
3
6
0
2
0
6
4
0
6
0
0
7
134
0
0
0
6
0
0
0
6
0
5
1
0
5
0
0
7
6
1
3
0
98
107
0
0
2
5
4
3
3
0
3
1
5
0
0
4
0
0
0
0
0
4
8
35
2
0
4
4
8
0
2
0
0
2
5
0
5
4
0
107
6
0
0
4
6
0
0
161
0
0
0
5
5
0
0
0
0
0
4
5
0
1
4
7
0
0
6
0
0
0
6
0
1
0
7
0
0
0
0
4
0
0
0
6
3
0
0
0
6
2
0
0
8
0
6
0
8
5
0
0
0
2
3
6
5
0
0
0
0
8
116
2
0
6
8
53
0
0
0
0
0
0
0
0
2
0
3
0
0
3
0
2
0
7
8
5
0
0
1
0
0
0
5
0
8
4
7
0
5
44
143
0
2
5
6
6
6
2
8
0
2
0
2
4
26
7
6
8
7
3
0
8
4
0
0
2
0
1
4
0
7
0
0
5
3
8
1
3
0
7
2
0
5
143
1
8
5
0
0
6
3
0
0
0
0
1
0
1
161
0
1
2
7
5
0
0
7
3
8
0
4
5
8
8
0
3
0
5
0
80
0
0
3
0
0
0
0
0
170
0
3
0
6
8
8
2
0
0
2
0
6
3
2
2
8
0
4
1
0
0
0
0
4
5
6
4
0
0
0
0
0
0
5
3
8
1
2
0
4
0
5
1
2
5
0
8
0
6
1
0
3
6
6
3
3
0
8
0
0
0
7
0
6
0
0
4
7
0
0
0
7
2
0
143
0
0
0
0
5
0
3
62
2
0
0
179
0
8
4
26
0
7
5
0
2
0
1
0
0
0
143
0
0
8
0
143
4
4
0
0
3
0
6
0
6
0
0
0
1
5
0
0
125
0
0
6
1
5
6
8
6
1
3
6
4
0
0
1
0
1
0
2
0
0
8
0
0
0
2
4
1
0
143
0
7
0
6
0
0
0
8
0
0
6
0
0
0
0
4
4
0
0
0
0
0
5
7
1
0
2
0
2
0
5
5
0
0
5
4
0
0
0
8
3
0
5
0
0
0
0
3
0
2
0
2
0
0
0
0
0
1
5
0
7
0
0
0
2
6
5
5
0
2
161
4
35
0
0
0
0
2
0
0
0
1
161
8
0
0
5
3
1
0
0
0
0
3
0
0
0
0
4
0
0
71
0
3
0
0
6
6
0
5
0
0
4
0
0
0
0
0
0
0
4
4
2
8
5
5
0
4
0
0
6
5
0
80
4
8
4
1
8
0
3
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
1
0
0
0
2
4
0
8
0
17
5
0
7
0
4
0
3
71
0
7
0
2
0
1
1
0
0
0
1
2
0
0
8
1
0
1
2
0
0
6
0
2
44
1
5
0
0
0
7
0
2
0
6
5
0
0
5
2
107
0
1
2
0
4
0
7
6
1
1
0
0
0
1
0
0
0
8
0
0
0
2
3
0
0
3
8
4
8
0
89
7
8
0
3
7
0
0
17
6
2
0
0
5
0
0
5
6
0
3
0
0
0
0
0
5
0
5
2
0
8
179
125
0
0
5
1
4
0
0
0
0
107
0
2
8
0
0
0
0
0
5
8
7
4
6
0
0
2
2
5
4
5
0
3
7
4
0
0
0
35
6
1
0
4
3
1
0
0
0
5
0
4
5
0
35
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
1
8
0
0
6
0
0
0
6
0
8
125
5
3
0
0
0
0
0
17
2
0
8
0
7
0
0
2
152
4
3
116
4
0
0
4
3
8
0
0
4
3
53
6
0
7
0
6
1
71
8
8
0
0
0
8
7
0
4
152
2
7
0
3
3
0
0
4
0
8
1
0
0
8
3
6
0
0
0
0
0
4
5
2
0
4
6
5
0
6
0
0
0
0
0
4
0
4
0
0
1
0
4
0
6
4
8
0
0
0
1
0
0
7
3
7
0
5
1
62
0
2
1
4
0
4
0
0
2
0
3
0
0
0
0
0
0
0
5
0
170
0
53
0
0
0
62
0
0
0
7
0
0
1
6
0
5
7
3
7
0
0
0
3
6
125
0
0
3
1
0
0
0
0
1
2
2
0
3
0
1
0
0
4
0
0
0
0
0
53
1
3
8
0
5
0
0
0
0
152
2
0
8
3
0
0
8
0
62
7
0
0
5
8
1
3
0
0
0
8
2
2
1
0
0
3
6
3
2
6
7
134
98
4
143
0
0
4
1
2
7
0
0
4
2
4
0
0
0
4
4
0
0
0
0
5
0
0
0
0
0
3
1
7
2
0
0
0
0
0
0
7
0
0
0
8
0
0
5
8
6
0
0
0
8
4
0
0
8
2
4
116
1
4
4
6
0
4
0
44
0
5
0
2
0
0
6
0
0
0
2
3
2
5
8
0
0
3
6
4
6
0
0
0
0
6
0
7
4
5
5
116
6
0
2
80
0
179
7
4
0
0
5
4
4
2
4
1
5
0
1
0
1
0
2
2
0
5
0
7
0
143
0
7
5
0
0
0
0
0
7
44
0
0
0
4
0
0
7
0
0
0
7
0
0
6
7
6
2
6
1
0
0
5
1
44
0
0
0
3
7
161
5
2
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
7
0
0
4
2
4
0
2
8
0
1
0
0
0
2
8
3
2
5
0
0
0
4
8
0
0
4
0
0
0
0
7
0
3
0
0
0
0
0
0
0
0
0
0
0
0
5
2
0
161
2
6
1
5
0
1
0
0
0
0
0
0
3
0
0
4
8
2
2
7
7
0
0
2
0
0
4
3
0
0
4
1
0
0
0
3
8
0
0
0
0
6
0
0
7
0
7
0
0
6
0
7
107
0
143
8
1
3
0
2
7
5
8
0
2
0
0
8
0
1
0
8
1
0
0
6
1
0
0
0
0
8
8
5
8
0
8
0
7
0
0
8
7
0
8
0
3
2
4
6
0
0
0
0
8
89
0
1
0
3
0
1
0
0
0
5
6
71
17
0
0
0
4
4
7
0
4
0
0
4
0
0
7
4
0
8
0
8
3
80
0
0
1
0
0
0
0
2
6
8
5
0
0
0
0
1
0
5
0
5
7
0
4
0
7
0
0
0
0
0
1
0
0
0
3
3
134
0
5
0
1
0
7
6
0
8
0
0
6
8
0
6
2
0
3
6
3
0
6
3
0
8
4
6
0
0
1
3
2
3
5
0
0
3
8
0
6
0
1
0
0
0
5
0
2
0
4
2
0
1
0
1
0
0
3
0
0
0
0
0
2
4
134
4
0
0
6
0
0
116
0
6
8
0
0
7
0
3
0
1
1
0
1
7
0
0
0
8
6
0
4
2
3
0
7
0
44
7
0
6
0
0
0
3
6
1
98
0
0
0
0
1
0
0
4
0
1
7
0
5
4
0
6
1
4
3
3
0
0
7
2
4
1
0
6
0
0
0
8
8
0
8
0
4
8
0
0
0
0
0
4
3
0
6
6
8
125
0
0
5
4
7
3
17
3
0
98
3
2
0
0
4
0
0
0
6
35
0
0
0
7
0
0
0
0
62
0
0
6
0
0
0
0
0
0
0
8
8
0
0
143
8
0
2
4
0
8
4
5
2
7
0
1
0
0
4
0
0
0
107
1
0
0
0
4
0
0
0
0
0
0
0
0
1
7
0
6
5
0
0
0
0
0
0
4
4
0
0
3
0
5
0
1
1
0
5
5
0
0
0
5
0
1
2
0
3
8
7
8
1
0
1
8
6
2
6
4
0
0
8
7
6
6
3
2
0
8
125
0
0
6
0
1
4
0
2
0
0
8
0
0
4
0
3
0
5
116
4
6
0
0
5
1
0
5
0
8
1
0
17
3
0
161
179
6
3
4
6
3
0
0
2
0
0
7
8
0
0
0
5
0
0
0
7
4
0
5
8
0
8
0
0
0
0
0
4
3
5
0
134
1
0
0
0
0
0
0
4
0
5
0
0
0
0
0
3
0
1
0
0
0
8
0
0
4
0
1
0
5
4
6
1
0
0
0
3
4
0
0
0
5
6
0
1
6
3
4
8
0
0
2
0
0
3
6
0
8
0
2
0
89
7
0
0
0
116
116
0
8
0
0
1
0
3
5
0
7
8
5
0
4
7
4
2
0
4
4
0
5
0
8
0
89
0
7
5
5
5
2
0
5
0
0
5
0
0
0
0
98
0
0
0
6
6
0
0
8
0
0
8
1
0
0
7
0
0
0
107
3
2
4
0
4
3
0
5
0
2
8
0
8
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
44
0
0
0
0
0
0
4
0
6
0
0
0
170
2
0
0
0
6
89
1
0
0
0
0
6
0
7
3
0
0
1
0
0
1
0
0
1
0
6
0
4
0
4
1
0
1
0
0
0
0
8
0
0
5
2
5
2
5
0
4
0
8
6
0
2
0
8
8
2
0
8
7
0
6
7
0
0
0
0
3
0
6
8
1
4
0
0
8
0
4
0
0
3
0
0
1
0
0
152
0
0
1
4
0
5
0
5
6
5
8
5
1
6
0
0
2
3
8
0
0
5
8
0
0
7
3
0
4
0
7
8
0
0
5
0
4
1
0
5
0
0
0
8
0
3
2
3
62
7
0
6
1
0
3
0
0
8
4
7
0
0
2
0
0
3
0
5
0
116
3
5
1
5
6
0
7
0
7
0
6
4
8
0
0
0
0
0
6
0
0
0
0
0
2
1
0
0
0
8
0
0
0
0
0
0
0
0
7
8
0
0
1
3
0
2
0
3
8
0
2
0
0
7
4
2
0
7
0
0
3
0
5
17
4
0
0
0
8
3
0
1
0
0
0
8
5
4
4
3
0
44
6
2
0
0
89
0
6
0
7
2
0
2
8
6
0
0
0
5
6
3
0
0
6
44
0
0
0
0
2
0
7
7
6
1
0
4
8
2
3
0
4
4
0
0
0
0
0
2
0
0
0
0
0
2
0
0
8
6
7
8
4
1
1
0
4
7
0
6
0
7
2
1
0
0
6
0
0
0
4
0
0
0
4
0
2
5
0
0
8
0
1
5
0
0
4
0
3
0
1
0
0
0
5
0
8
3
0
0
4
1
0
0
7
0
1
17
0
170
0
8
1
0
0
6
5
80
3
0
0
0
0
0
0
161
0
0
4
0
4
6
3
4
0
7
6
7
0
1
0
0
6
5
0
1
0
6
7
0
0
7
0
0
0
2
6
0
2
3
0
1
1
8
0
0
3
0
7
2
0
0
0
6
0
0
0
1
0
8
3
0
7
0
0
0
161
0
0
3
4
6
0
6
2
6
4
0
0
4
4
0
2
0
3
5
8
5
0
0
0
0
3
0
1
3
107
4
0
8
3
0
0
0
0
5
3
0
2
3
0
0
1
0
0
0
179
0
0
0
6
0
0
5
0
4
17
0
0
0
4
0
0
3
4
6
8
0
0
2
1
0
7
7
0
0
8
7
6
0
0
0
0
80
3
0
0
0
0
0
6
0
0
4
5
0
0
0
0
2
3
0
4
2
0
2
0
5
1
35
4
0
5
5
0
35
0
0
8
0
4
2
3
6
0
17
7
0
0
0
1
0
7
0
0
4
0
8
0
0
0
0
0
0
0
5
2
2
0
0
2
7
0
0
4
0
0
0
1
8
0
0
53
5
0
1
0
0
1
152
3
8
7
0
0
3
0
0
6
7
8
0
0
0
8
0
0
3
0
0
0
3
0
0
2
0
6
89
7
0
0
2
3
0
98
2
0
0
3
8
2
1
8
0
5
7
0
0
0
0
4
0
3
1
4
8
0
2
0
170
0
0
3
4
2
3
0
0
2
2
6
0
6
0
5
0
0
1
0
3
0
0
0
0
179
4
6
0
3
0
0
0
0
0
8
6
3
0
0
0
8
0
0
0
0
5
6
0
62
0
0
26
116
2
0
2
0
8
3
71
5
0
0
0
7
0
0
7
7
0
0
0
4
0
71
5
6
0
0
26
0
0
0
8
0
0
0
3
6
0
0
0
8
0
3
0
4
0
0
8
0
2
0
0
0
0
6
5
8
3
5
2
3
0
6
8
0
2
3
0
3
5
1
0
0
0
0
4
0
0
3
4
1
1
4
0
152
7
161
6
7
0
0
0
0
8
0
0
0
0
3
6
0
2
4
5
4
0
0
0
0
0
0
0
0
2
0
0
0
0
0
5
5
3
5
7
0
7
0
7
1
0
6
4
4
0
116
0
3
2
1
0
0
3
0
2
6
0
8
0
0
0
0
0
8
6
0
6
3
0
0
3
0
1
3
4
0
1
3
8
0
0
2
0
2
0
0
3
1
8
0
0
0
8
0
0
0
7
7
0
0
0
0
0
6
0
1
5
5
0
8
2
3
0
6
1
0
4
5
0
0
0
2
0
0
0
0
2
0
0
0
0
0
3
0
7
4
0
0
2
1
1
0
0
0
8
0
0
0
7
0
0
2
0
107
0
0
5
7
0
4
0
0
5
1
0
2
1
0
6
2
5
0
4
0
2
0
8
0
0
0
0
0
0
0
0
2
0
5
0
5
0
0
0
0
7
8
0
6
2
0
0
0
3
6
2
0
4
0
0
98
0
5
0
0
2
0
2
0
0
4
0
0
0
0
8
0
0
0
7
3
161
8
3
2
0
6
4
3
6
1
5
89
4
0
5
3
0
0
0
6
107
0
4
0
1
0
6
8
0
2
5
5
0
0
6
0
0
0
4
7
8
5
0
8
0
4
5
0
0
1
1
0
0
8
5
0
0
0
0
2
0
0
3
0
0
0
0
7
0
0
7
0
170
7
0
0
0
3
0
0
4
3
0
0
0
0
0
7
0
4
2
0
6
0
0
0
0
0
0
0
1
5
0
5
3
6
0
0
2
5
0
0
89
6
0
8
0
3
0
0
0
161
7
2
0
0
8
7
0
0
2
0
0
0
2
53
7
0
6
0
98
7
0
0
0
6
0
0
0
7
6
0
0
0
3
0
6
3
8
0
0
8
0
0
0
0
0
7
0
3
116
2
0
0
152
3
0
0
0
0
0
0
0
0
0
0
0
2
0
4
5
0
7
0
0
0
5
3
3
3
3
125
2
0
6
8
152
0
0
0
0
3
4
2
1
0
0
0
0
0
7
0
0
0
8
0
0
5
1
0
0
7
0
0
5
0
0
0
0
0
0
2
0
4
8
89
0
7
6
7
0
71
6
0
4
0
0
0
0
0
7
8
3
0
4
7
4
7
17
0
4
0
0
0
7
0
6
0
0
0
0
0
6
2
0
7
0
4
0
7
1
0
4
6
7
2
0
0
7
0
0
1
8
17
5
0
0
0
0
0
0
1
3
0
5
0
1
1
7
8
0
6
1
0
8
0
7
0
3
0
0
3
0
2
5
4
0
0
0
0
0
4
0
0
0
0
0
0
0
71
0
0
0
8
7
1
0
2
7
0
0
1
0
2
98
0
0
7
8
5
1
0
8
0
0
8
0
0
4
152
7
0
0
0
8
125
0
0
6
0
0
4
3
0
3
0
0
5
0
6
0
6
6
0
0
0
0
0
7
8
0
7
5
0
6
8
143
0
0
0
0
53
0
0
5
0
0
0
0
6
3
5
0
0
1
6
4
0
5
5
3
161
4
0
0
5
0
3
0
4
0
0
6
0
0
5
6
2
0
0
6
0
7
7
179
0
5
8
0
0
89
0
0
0
0
0
0
0
0
0
0
4
0
0
4
179
4
1
0
0
0
7
0
3
8
1
8
35
1
1
2
6
5
0
0
0
0
8
0
0
1
0
0
3
0
0
2
3
0
0
3
2
0
0
0
0
4
0
8
6
1
0
0
0
0
2
1
0
6
0
8
0
116
1
4
8
4
5
6
0
5
0
0
4
7
2
8
0
4
1
7
0
0
0
8
3
6
0
0
0
0
8
0
0
5
0
0
0
5
8
6
0
0
0
0
8
0
0
89
5
5
7
7
2
1
6
0
1
4
0
2
1
0
0
3
0
0
3
2
0
53
0
7
0
0
0
0
0
3
0
0
0
0
152
2
0
62
8
0
0
0
0
3
3
0
0
0
7
179
0
0
0
80
5
0
0
0
0
0
2
0
1
0
0
0
0
44
1
0
0
0
0
0
0
4
2
0
0
0
0
89
6
7
0
6
6
0
0
0
0
0
3
0
8
3
3
6
6
116
170
0
7
179
0
89
2
53
8
0
5
4
0
0
7
0
0
0
8
2
6
3
2
0
44
0
0
5
0
0
4
8
2
0
1
6
0
0
4
4
0
0
179
0
0
5
8
0
0
0
0
8
107
8
2
0
0
0
0
3
0
0
0
0
0
170
7
0
0
8
0
0
1
7
7
7
3
0
0
5
0
5
0
17
2
7
0
0
6
0
7
0
0
3
7
0
0
0
5
3
0
0
0
1
0
0
3
0
0
0
0
0
0
6
0
0
7
1
0
7
0
3
4
6
2
0
62
0
0
0
0
0
3
0
0
0
0
0
6
7
0
0
0
4
0
0
7
3
7
4
7
0
6
0
0
6
6
6
3
0
0
0
2
0
0
2
0
0
5
7
7
0
0
5
0
0
3
0
0
8
0
3
1
80
0
134
0
0
3
0
1
3
134
2
71
7
5
8
0
0
5
0
0
1
7
0
0
0
0
0
0
0
0
1
5
0
0
0
0
4
4
6
0
0
3
0
8
3
4
0
7
4
7
0
5
0
0
0
0
7
0
1
0
0
0
0
0
0
2
0
5
7
0
0
0
8
0
2
0
5
6
0
0
0
1
2
6
0
0
0
7
0
0
0
98
5
71
0
6
5
4
0
2
0
0
0
2
5
8
8
4
0
152
0
0
0
0
6
4
0
0
0
0
1
0
3
0
1
0
0
0
0
4
0
6
7
8
0
3
1
6
0
0
0
0
7
2
0
35
0
89
4
6
2
4
0
0
71
0
0
2
7
0
0
4
0
0
0
0
0
71
0
0
0
0
80
8
0
0
7
0
0
0
0
0
4
0
4
3
0
5
0
0
6
0
17
6
0
3
0
3
2
0
0
0
0
0
5
0
0
2
26
2
0
5
0
2
0
0
0
4
3
1
7
1
0
0
1
0
0
7
7
6
0
1
0
0
3
0
0
8
0
2
7
0
8
4
0
6
5
6
17
0
0
0
0
0
0
1
134
6
0
0
0
0
2
0
0
7
0
3
0
5
44
6
3
4
0
6
0
0
0
1
6
0
0
0
3
0
0
2
3
0
53
0
0
0
0
6
4
0
4
0
6
5
0
2
3
8
7
2
0
0
1
0
3
3
0
0
0
0
0
2
2
7
0
53
0
0
0
0
6
2
0
0
1
0
0
8
7
0
8
3
8
0
0
179
0
3
5
0
1
0
6
152
8
0
0
2
0
6
6
7
8
4
0
8
1
0
1
0
0
4
0
98
2
4
0
2
1
0
0
0
0
2
7
6
0
1
0
35
8
0
0
0
0
0
161
3
0
0
5
0
2
0
125
1
0
8
6
5
0
35
4
1
7
8
0
2
0
0
7
0
7
0
0
3
0
1
116
2
0
0
26
6
6
4
0
0
0
0
0
6
3
7
3
4
0
7
0
6
0
2
8
1
4
5
0
0
0
5
5
0
6
0
8
0
0
170
1
0
3
0
0
1
7
125
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
143
0
1
0
0
0
6
7
2
6
0
3
0
125
0
0
0
5
5
0
0
8
0
0
0
0
4
6
0
8
170
8
4
0
0
0
0
0
0
8
6
0
8
98
0
0
0
3
0
3
5
80
7
0
0
3
3
0
2
0
7
0
5
1
4
5
0
6
0
6
4
4
17
2
0
4
0
0
7
5
5
8
0
8
0
7
0
5
5
0
0
0
0
53
0
7
0
1
2
0
0
6
2
0
5
0
0
2
0
0
0
5
6
0
89
3
3
5
0
2
0
0
2
179
0
0
0
4
0
3
8
0
125
2
5
2
0
0
0
0
3
0
7
1
0
2
2
0
4
0
0
0
3
5
0
0
0
0
0
6
1
0
4
0
6
0
3
0
3
0
0
0
2
4
5
0
6
6
0
0
4
0
4
53
0
8
0
0
0
0
2
6
8
0
6
4
1
5
3
5
8
0
6
4
0
0
3
143
0
0
0
0
1
0
5
5
8
5
0
4
0
0
0
0
2
5
5
0
0
0
0
5
0
6
0
0
3
0
0
7
17
4
5
2
0
7
0
0
0
1
0
152
0
6
4
0
80
8
7
8
0
0
0
0
0
1
6
6
0
0
3
0
0
0
0
0
2
7
1
4
0
0
3
0
0
3
0
7
0
7
161
1
0
143
0
0
0
4
1
0
5
0
0
161
2
0
0
0
0
0
0
4
6
0
0
0
1
1
6
0
4
1
5
0
0
53
0
7
0
1
170
8
17
0
3
0
2
0
0
0
0
0
0
0
3
6
0
0
0
0
0
0
0
7
0
0
0
5
0
2
4
0
6
3
7
8
0
0
0
8
0
4
4
2
1
8
0
5
8
0
2
0
2
5
2
0
0
134
1
0
0
0
0
8
1
0
0
0
0
5
2
0
0
2
0
2
7
6
1
5
8
7
0
89
0
6
4
7
0
0
0
6
7
0
3
7
134
1
0
0
0
0
6
0
3
125
0
0
2
7
0
0
8
7
0
0
5
2
2
0
0
161
7
6
1
6
1
152
7
3
0
2
8
6
2
0
0
4
0
0
1
5
0
0
0
0
0
0
0
161
0
3
7
5
0
3
134
0
0
6
7
0
6
0
0
0
3
0
0
0
5
8
6
0
0
0
1
0
35
3
0
2
0
0
1
4
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
5
0
8
4
0
0
5
0
2
0
0
0
0
0
0
5
0
0
5
0
7
0
0
1
0
0
5
0
0
0
0
0
152
0
7
0
0
5
5
0
5
0
0
2
0
4
0
6
3
0
0
0
5
0
0
2
0
0
5
0
0
0
0
0
0
0
2
6
0
0
0
0
8
0
5
3
0
0
0
0
0
0
0
170
1
0
0
7
2
7
0
0
7
8
8
0
1
3
2
0
1
0
1
8
0
4
0
0
4
0
89
3
1
1
0
3
0
7
0
7
5
0
5
0
0
0
0
0
0
1
8
5
0
0
0
0
0
3
3
4
0
0
3
0
1
2
0
0
3
2
1
4
0
0
0
80
0
0
0
0
1
6
7
0
2
0
8
5
3
3
5
125
152
2
0
0
5
0
0
0
0
0
0
3
4
0
1
2
2
0
6
6
0
0
0
2
8
8
5
7
35
0
0
2
0
4
0
0
2
0
0
6
0
4
3
0
0
1
4
0
0
2
5
3
1
0
1
0
0
5
0
1
0
5
4
3
8
1
0
125
0
1
0
0
2
6
2
4
5
0
0
2
5
0
0
0
0
0
0
1
0
71
1
7
0
1
0
6
0
3
0
0
0
0
7
3
0
0
0
0
7
0
0
6
0
0
5
6
0
4
0
3
5
0
5
1
2
8
0
0
0
0
1
62
0
107
5
0
8
0
0
0
0
0
0
6
0
2
2
0
0
4
5
0
0
5
7
0
0
4
0
0
0
6
0
4
0
1
0
3
2
7
8
3
3
0
1
1
5
0
3
0
0
7
8
0
3
0
1
3
0
0
0
0
0
0
3
0
7
0
0
8
0
0
0
0
5
0
1
6
0
0
0
0
0
0
0
6
8
5
0
0
0
4
6
0
0
0
125
2
7
8
8
71
0
0
4
0
6
6
6
0
8
7
4
0
0
0
7
0
0
0
0
0
0
0
0
0
0
7
1
1
2
7
62
7
98
1
0
3
2
1
7
0
6
0
0
0
0
5
0
0
4
0
5
0
0
0
7
3
2
0
0
0
0
3
0
0
8
0
1
0
0
0
1
0
3
3
5
7
8
44
0
1
0
6
0
0
8
0
4
0
0
0
3
3
5
3
2
4
0
0
3
2
0
26
0
0
0
0
2
0
0
1
3
0
0
98
1
7
6
5
6
1
0
3
4
8
8
125
4
0
8
0
0
0
3
7
8
0
0
0
0
2
0
0
0
5
0
0
1
0
3
2
0
44
5
1
6
0
0
1
5
0
5
0
0
0
4
0
1
0
8
7
6
0
1
7
8
1
0
5
0
0
5
0
0
0
0
0
0
0
3
0
2
1
0
0
5
0
4
0
0
0
0
0
0
1
4
0
6
4
0
8
0
0
8
8
3
4
5
0
6
0
8
7
8
0
0
0
0
0
1
0
4
7
1
0
3
0
1
4
3
0
0
6
3
5
0
80
1
4
0
4
0
7
7
0
4
0
0
6
7
3
7
0
0
0
0
6
0
3
1
35
8
0
0
8
0
3
4
0
0
0
0
179
0
7
8
8
0
4
6
7
1
0
2
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
4
116
2
0
7
0
0
44
6
6
6
3
8
0
0
7
0
0
7
0
0
1
0
134
0
6
6
7
3
0
1
7
8
7
5
0
0
2
0
8
0
0
0
0
0
0
0
0
6
0
3
0
0
3
0
4
3
44
0
4
0
0
5
98
0
1
3
161
0
0
0
7
6
3
0
1
2
1
5
6
4
4
7
0
0
0
3
0
0
0
7
6
8
0
0
1
0
0
0
6
161
0
0
0
2
0
8
0
0
4
125
89
0
1
5
0
0
2
0
5
6
7
7
116
1
125
8
8
0
0
6
1
0
5
0
2
3
0
4
0
0
0
0
5
0
0
0
4
0
8
4
0
5
7
1
2
0
0
0
143
5
0
4
0
4
3
2
0
0
2
62
0
1
0
0
0
0
1
0
0
3
4
8
8
0
3
8
0
4
5
0
0
8
4
0
0
0
8
0
0
0
2
3
6
5
4
0
0
0
0
0
0
0
1
0
1
0
0
6
2
8
152
0
0
0
1
170
7
1
0
0
0
0
0
0
6
0
2
8
6
0
0
1
3
152
0
0
2
0
5
0
6
3
5
125
0
0
0
8
5
4
2
2
2
8
3
4
0
1
0
7
0
0
7
0
2
7
0
4
0
3
0
1
0
8
0
0
5
5
3
0
7
0
0
0
2
3
5
0
3
1
0
0
0
0
0
2
0
7
0
8
7
7
0
0
0
0
7
0
80
3
2
0
0
5
0
0
0
0
0
7
0
0
1
0
0
0
0
3
1
0
8
0
0
0
0
4
1
0
0
0
3
0
7
4
1
4
2
0
6
0
0
0
0
3
5
0
6
2
7
4
2
3
5
3
8
0
0
8
0
4
0
6
0
0
7
2
1
0
4
4
0
0
0
44
7
5
0
5
2
0
4
6
7
152
0
0
0
0
0
0
0
6
8
2
0
5
3
3
0
3
0
0
0
2
0
6
0
7
0
0
0
0
0
0
89
2
6
0
0
1
7
7
3
0
0
5
2
0
0
2
0
4
0
3
1
2
5
0
5
6
8
0
0
5
2
0
8
1
8
0
5
0
0
0
0
0
6
6
0
3
0
0
0
8
0
0
0
0
0
0
7
0
0
3
6
0
0
0
8
0
0
4
0
8
1
0
1
5
0
0
0
4
6
0
5
0
5
4
0
0
0
0
0
4
8
5
8
179
6
2
0
7
8
0
0
0
5
0
107
6
5
2
0
0
7
7
0
0
3
0
6
1
0
1
0
3
0
0
0
8
0
7
0
0
0
0
4
4
0
0
0
0
1
89
8
1
5
0
0
6
4
7
3
0
0
0
0
0
0
0
5
0
5
0
5
1
4
7
0
0
71
2
0
0
107
4
0
4
7
8
0
6
0
0
8
2
7
0
6
1
0
2
0
0
0
6
0
0
1
0
0
0
1
0
0
0
0
4
2
1
0
3
7
7
2
0
7
3
0
3
0
8
6
0
8
0
4
4
3
4
0
3
0
7
0
1
1
0
8
0
8
0
0
5
0
4
0
8
2
1
0
6
0
62
0
4
0
3
0
3
7
8
1
0
0
1
0
5
1
2
3
4
8
2
8
8
0
4
0
0
0
3
3
8
0
4
2
0
0
6
6
0
1
0
0
6
0
0
0
8
0
2
5
0
0
6
1
0
3
1
0
0
0
7
0
7
0
0
7
0
7
7
0
6
71
0
8
0
0
4
6
0
6
0
5
0
0
4
0
6
0
0
125
0
0
2
5
4
0
7
4
5
7
0
0
0
0
8
0
7
0
116
0
0
0
0
3
8
0
0
125
0
8
8
0
0
0
2
5
8
8
2
2
0
0
7
0
3
2
2
3
8
0
0
0
0
6
0
0
0
107
0
0
8
2
2
0
6
5
8
1
0
1
0
0
3
6
7
0
5
1
1
0
1
5
0
3
7
8
107
1
5
0
0
0
0
0
2
4
0
0
0
0
170
6
7
0
0
0
4
0
4
0
3
3
0
0
3
0
0
0
7
2
5
5
7
0
26
8
5
0
5
0
2
0
0
7
0
3
1
3
0
89
0
6
0
1
0
7
0
0
4
116
0
0
0
179
0
0
107
0
0
0
1
1
4
0
0
0
1
0
8
0
0
1
3
0
1
0
4
0
0
0
4
0
2
2
5
5
6
7
0
3
4
0
8
0
0
5
3
3
0
4
0
0
4
2
4
6
0
0
0
0
0
0
0
6
0
0
35
0
0
0
0
5
5
1
1
0
0
8
8
0
7
0
4
0
0
0
5
0
3
0
6
3
0
0
0
8
1
0
2
0
0
0
0
3
8
0
0
8
5
0
4
8
6
4
3
5
7
0
1
1
0
0
5
0
134
7
3
4
5
3
0
0
0
0
0
8
0
3
6
7
0
80
1
0
6
0
170
0
3
0
8
0
0
3
0
5
7
0
8
17
4
0
8
0
0
0
53
1
0
0
5
6
3
179
0
5
0
0
0
3
0
5
2
0
6
7
7
7
8
7
1
0
3
7
0
0
0
2
3
1
4
0
0
2
0
0
1
0
4
8
161
5
0
7
0
5
0
1
2
2
62
0
0
5
0
6
0
7
0
6
0
179
4
0
3
3
5
53
7
8
0
0
0
1
0
8
0
0
1
4
62
4
0
4
179
0
3
1
1
0
0
2
0
0
0
44
3
0
0
0
0
0
2
0
143
0
6
0
0
3
8
0
0
0
0
17
5
0
53
2
1
0
3
5
8
7
7
0
0
0
0
0
7
6
6
4
1
152
1
6
0
0
8
7
0
4
3
0
3
0
0
2
5
0
1
5
2
5
8
0
0
5
3
8
2
0
7
0
0
3
4
2
8
4
0
5
4
0
0
7
152
4
0
4
0
8
8
2
0
0
0
4
5
26
0
116
3
7
6
0
2
0
161
134
0
0
0
7
0
7
0
0
0
3
0
6
0
0
6
3
8
53
0
0
1
5
0
125
0
6
0
2
0
8
7
3
0
7
0
0
0
0
0
0
0
125
8
0
7
0
3
0
8
6
5
0
0
1
0
6
0
0
8
2
0
0
3
4
0
5
0
44
143
5
0
1
8
0
0
125
0
3
8
26
6
6
8
6
0
0
7
0
2
6
0
0
4
0
170
8
0
2
4
0
0
1
1
7
4
0
0
0
0
0
0
0
4
3
62
0
62
0
8
5
0
0
6
0
7
0
1
3
0
0
1
0
170
4
44
8
0
0
0
0
0
0
0
0
0
7
0
0
0
3
0
8
0
4
3
0
5
3
26
0
1
53
6
0
0
5
0
3
0
0
53
35
2
7
3
0
4
0
71
7
0
98
0
5
0
0
0
0
4
1
0
0
0
0
125
0
0
8
0
2
0
71
7
7
1
3
0
0
7
0
0
1
8
1
3
0
62
5
7
2
5
0
2
0
7
0
0
1
2
62
0
0
0
8
2
0
7
4
0
0
0
6
0
1
0
0
0
2
3
8
0
0
26
5
7
0
6
0
0
8
71
5
4
8
0
7
0
6
4
0
0
0
8
0
5
0
8
4
2
6
0
4
4
0
0
0
2
2
0
116
5
3
0
7
8
0
2
0
5
3
0
6
2
3
1
2
4
6
7
0
152
0
89
0
3
161
0
0
1
3
0
6
7
4
71
7
3
0
35
0
5
8
0
2
0
0
8
0
7
4
5
6
0
0
0
0
98
0
0
0
7
0
2
3
7
0
0
0
0
0
0
7
0
6
3
0
3
0
0
0
0
7
0
0
0
1
0
0
5
0
8
0
4
8
1
6
7
0
0
0
1
4
62
0
0
7
7
0
0
0
0
0
3
161
4
4
3
8
4
80
0
3
7
0
2
0
0
8
0
0
0
2
0
4
0
8
2
0
0
0
71
0
0
0
0
5
7
2
0
0
6
0
0
0
143
3
0
5
0
1
8
0
4
1
0
0
3
1
0
0
1
7
5
0
0
2
0
0
5
7
8
6
0
0
4
3
1
8
0
0
0
8
0
0
2
0
5
7
0
0
0
170
6
0
6
0
0
0
0
8
35
4
0
0
2
0
0
7
5
0
3
0
0
0
0
0
0
0
0
0
0
4
5
0
7
3
0
0
0
5
89
4
3
0
7
4
0
0
0
0
5
0
89
3
0
1
0
5
0
0
0
6
6
0
4