3
3
1
4
1
1
1
3
5
2
1
2
1
2
1
1
1
1
1
3
3
2
1
2
1
2
1
299
1
1
1
3
3
1
3
1
1
1
1
2
3
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
2
1
3
1
1
3
1
1
3
1
3
1
1
5
1
1
1
1
1
3
1
3
1
1
1
2
1
3
5
1
9
1
3
1
1
3
2
1
3
1
1
1
1
169
1
3
1
1
1
3
1
1
1
4
2
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
15
1
3
1
5
1
3
1
3
4
1
3
1
2
1
3
1
3
3
1
1
1
1
1
1
9
1
1
1
1
1
3
1
1
1
3
2
3
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
3
1
1
2
2
1
2
1
1
31
5
4
1
1
1
3
2
1
1
2
1
1
3
1
1
1
1
3
1
3
1
1
1
2
3
1
1
1
1
1
1
3
2
1
1
1
2
2
1
1
1
1
3
1
5
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
16
1
2
1
2
3
1
45
1
1
1
1
1
1
1
1
3
3
1
3
1
1
3
1
1
7
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
3
3
3
2
1
1
1
2
1
1
19
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
33
1
1
1
1
1
1
1
1
1
1
3
1
1
1
17
1
2
5
1
1
1
3
2
1
1
3
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
3
1
1
1
1
3
1
2
1
1
9
1
1
1
2
1
9
1
1
1
1
1
3
20
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
3
1
5
74
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
3
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
12
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
15
1
2
1
20
1
1
3
1
1
4
3
1
5
3
1
3
2
1
1
1
2
1
1
2
3
1
1
7
1
1
1
1
1
3
1
1
5
6
1
1
1
3
1
1
1
1
1
1
3
1
4
1
1
1
1
5
1
6
2
55
1
1
1
1
1
1
1
1
1
2
2
2
1
1
3
1
2
11
3
1
8
1
1
1
2
3
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
3
5
13
3
1
1
3
1
3
1
1
2
1
2
1
1
6
1
9
1
3
2
3
1
1
1
1
1
3
4
1
1
1
1
1
3
1
1
3
1
1
1
9
3
1
9
1
1
1
1
1
1
3
1
1
1
11
1
1
1
1
1
1
1
1
1
1
11
1
3
1
1
2
8
1
1
1
1
5
1
1
1
2
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
4
1
3
1
7
1
2
1
3
2
1
2
3
1
1
1
1
1
1
1
1
3
4
1
1
1
3
39
2
1
4
3
1
1
2
2
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
2
1
2
5
37
1
11
3
1
1
1
3
7
1
3
2
2
1
3
1
1
3
1
5
3
1
1
1
1
1
3
3
9
5
7
3
1
1
1
2
3
1
1
3
1
1
1
1
2
1
11
1
1
1
3
1
3
1
2
1
1
4
3
1
1
1
1
95
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
1
9
1
3
2
1
2
1
3
3
1
1
1
3
3
1
5
1
2
1
1
3
2
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
2
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
7
1
1
1
2
1
3
1
3
1
7
2
3
1
1
3
1
6
1
1
1
1
5
5
4
2
1
1
3
1
1
1
5
1
2
3
1
5
161
1
1
11
2
1
1
1
1
2
1
1
4
1
1
1
1
1
1
3
1
3
1
3
1
1
3
2
1
7
2
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
1
2
1
3
1
1
1
2
1
3
4
3
3
2
1
1
1
1
1
1
3
1
2
2
1
1
1
47
1
3
3
1
1
2
1
1
3
1
1
5
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
2
2
1
3
5
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
2
1
3
1
3
2
3
3
3
1
1
2
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
3
3
948
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
1
1
2
1
3
1
1
1
2
7
1
1
1
2
1
1
1
2
1
1
1
3
1
3
7
3
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
9
1
1
1
2
1
3
1
1
1
1
1
2
9
1
1
3
3
2
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
13
3
1
1
1
3
1
1
1
1
1
1
1
5
1
1
2
1
1
3
3
1
1
1
7
5
1
1
1
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
7
1
1
1
5
3
2
1
1
1
7
1
1
1
3
1
6
9
1
1
2
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
5
1
1
1
5
4
1
1
1
1
1
2
2
8
1
1
1
3
1
2
1
7
1
1
3
3
1
1
1
6
2
2
1
1
1
3
17
1
1
3
1
1
4
1
1
3
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
2
1
1
5
1
1
1
1
5
5
1
37
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
91
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
3
53
3
1
1
1
1
3
1
1
1
3
1
2
1
181
1
1
1
1
1
1
3
1
1
1
5
3
2
2
13
1
1
7
2
1
1
11
3
1
2
1
1
2
1
1
1
1
21
1
1
2
1
7
1
1
1
1
2
2
1
1
3
1
1
1
1
2
1
1
3
2
1
1
1
2
2
1
3
3
1
1
7
1
3
1
1
1
1
1
1
1
1
1
2
1
2
3
3
1
1
2
1
1
1
1
3
4
3
1
2
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
2
1
1
1
1
11
1
2
3
1
1
2
5
2
1
1
5
1
1
1
2
5
1
2
1
3
1
1
1
3
13
2
2
3
1
1
1
1
2
1
1
1
1
1
67
235
1
3
1
1
1
5
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
2
1
1
3
1
71
3
3
1
1
1
1
1
2
3
3
2
1
1
3
2
2
2
1
1
3
1
2
3
1
3
1
1
1
1
3
1
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
2
3
3
9
1
1
3
1
3
1
1
2
7
1
4
3
3
1
1
1
1
1
1
1
2
3
6
2
7
9
3
1
1
1
1
1
7
2
1
1
7
3
3
2
1
1
1
1
1
3
1
1
2
7
1
1
1
3
1
1
1
1
4
1
3
1
3
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
2
3
1
3
1
1
1
1
1
2
1
3
1
1
3
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
2
2
1
1
1
1
5
1
1
1
1
2
2
3
1
1
1
1
3
1
4
2
3
7
1
1
1
1
1
2
1
1
1
2
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
3
3
1
3
1
1
1
2
6
1
3
1
1
1
1
5
3
5
1
1
3
3
1
2
1
2
1
1
3
1
13
1
3
1
1
1
1
1
2
1
1
1
3
1
1
3
1
11
1
3
5
1
3
1
3
1
1
2
3
1
3
2
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1147
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
2
3
3
1
1
1
1
5
1
1
1
1
3
3
3
1
1
5
1
1
1
1
3
2
1
1
2
3
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
9
1
2
2
5
1
1
1
1
3
1
1
5
3
3
3
7
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
3
1
4
3
19
1
1
1
1
1
3
1
1
3
3
1
3
1
2
1
1
3
1
1
3
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
4
3
2
1
1
1
1
3
1
2
1
1
1
2
3
4
3
3
3
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
3
1
1
2
1
1
2
2
2
1
1
5
3
1
1
13
3
1
1
1
1
1
1
1
1
1
1
1
3
19
1
3
1
5
1
1
1
1
1
1
1
5
3
1
1
1
1
3
7
19
1
4
2
1
1
4
1
2
1
1
1
3
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
6
1
3
3
1
3
1
1
1
2
3
1
1
1
3
1
1
2
1
3
1
1
1
2
3
1
1
2
1
1
1
1
1
15
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
9
1
1
1
3
1
1
3
6
4
1
3
1
3
1
1
1
3
1
108
1
1
1
3
1
1
3
1
1
2
3
4
3
1
1
4
3
1
1
1
5
1
1
1
3
1
1
1
3
1
3
25
1
1
1
3
1
5
1
2
3
1
1
1
1
7
1
1
2
1
3
1
1
1
1
12
4
1
1
1
1
1
3
5
1
1
5
9
1
1
1
3
3
1
1
3
1
2
1
1
1
2
1
8
1
1
1
1
1
1
3
3
15
3
3
1
1
1
1
1
6
1
1
1
2
2
3
3
1
1
1
1
1
2
1
3
1
1
1
2
1
1
3
5
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
10
1
3
1
1
1
1
1
1
2
1
3
3
11
1
3
3
4
1
7
57
25
3
4
1
1
1
3
1
1
3
1
1
3
1
1
1
2
1
2
3
5
1
2
1
2
1
3
1
3
1
2
3
1
1
1
5
1
2
1
5
1
1
3
2
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
4
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
3
1
3
1
3
3
3
1
1
1
1
3
3
325
1
1
1
1
1
1
1
1
1
93
1
1
1
5
5
3
1
1
2
3
1
1
3
1
1
27
1
1
1
1
7
6
3
3
1
1
2
1
3
1
3
3
1
2
1
1
1
1
3
1
1
5
2
1
1
1
3
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
2
1
2
1
1
1
4
2
3
1
1
1
1
1
3
21
9
1
1
1
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
2
1
11
2
1
3
1
2
9
2
2
1
1
1
2
1
1
1
2
2
1
1
17
4
3
3
1
2
1
1
1
1
6
1
3
1
1
1
1
9
1
1
1
4
1
1
1
3
1
1
1
2
2
5
1
6
2
1
1
1
3
1
1
3
3
1
3
1
1
3
1
1
1
1
3
1
5
1
1
1
1
6
1
1
1
1
1
1
1
8
1
3
3
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
3
1
1
4
1
1
1
1
1
1
1
2
7
1
1
1
1
1
1
1
5
1
5
3
5
3
109
3
2
1
1
5
1
3
1
1
1
1
6
2
1
1
1
3
3
1
1
1
5
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
5
1
1
2
1
1
1
5
3
3
1
6
1
1
1
69
1
1
4
1
1
5
1
2
3
1
1
1
1
5
1
3
1
3
1
3
1
1
1
1
1
1
1
3
3
1
2
2
1
1
1
1
49
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
20
3
1
1
11
3
3
1
1
5
3
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
7
1
1
2
1
1
3
1
3
1
10
1
1
1
6
3
1
1
2
5
1
1
1
1
2
2
1
1
2
2
4
1
1
3
1
1
1
5
1
1
3
1
1
2
63
1
1
3
3
1
2
1
1
3
1
5
5
1
4
1
1
2
1
3
5
1
1
3
1
1
49
1
8
1
1
1
2
1
1
2
1
1
1
3
1
2
1
3
2
1
1
1
3
1
5
2
2
1
1
3
1
1
1
2
1
1
1
9
3
7
1
1
1
1
1
1
5
2
3
1
1
1
1
1
3
1
1
1
1
3
13
1
3
3
1
1
3
1
1
1
1
9
1
3
1
2
1
2
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
3
2
7
3
3
1
1
2
11
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
1
3
29
1
1
1
1
2
1
1
1
2
1
2
2
1
1
1
1
2
1
3
1
1
12
1
4
1
3
1
1
1
2
1
1
3
1
1
1
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
3
1
1
1
1
3
3
1
2
2
1
2
1
3
3
2
1
1
1
1
2
1
1
11
1
3
1
1
3
3
2
3
1
1
2
1
1
3
3
3
1
1
5
1
1
5
1
2
1
1
1
2
1
3
1
1
1
3
1
1
3
1
1
1
1
4
1
3
1
5
1
1
3
1
3
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
2
4
23
1
1
1
2
3
1
1
5
1
1
3
3
1
1
1
1
1
1
5
1
1
1
3
7
1
1
6
1
1
1
1
2
1
2
1
1
3
3
2
2
1
2
1
1
5
3
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
3
1
1
2
5
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
7
1
75
24
4
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
3
1
1
2
1
3
3
1
1
1
1
1
3
3
2
1
1
3
3
9
3
1
1
11
1
1
2
3
1
1
1
1
2
1
1
27
1
1
3
1
1
3
2
1
1
2
1
3
3
5
1
1
1
1
1
1
2
2
1
3
1
1
1
1
17
1
1
3
1
1
2
1
1
1
1
1
1
5
1
1
1
3
1
2
2
3
1
3
1
2
1
3
3
5
2
1
7
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
7
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
4
1
1
1
1
3
1
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
3
7
1
1
1
9
1
1
1
1
1
1
3
1
1
2
2
1
5
2
1
1
1
3
1
1
1
3
2
2
7
4
1
9
2
1
1
1
1
1
3
1
1
3
2
1
1
2
3
1
3
1
1
3
1
3
1
1
1
1
1
1
3
1
1
3
3
1
5
2
1
1
1
1
1
1
1
4
1
1
1
2
1
3
1
1
3
1
2
2
1
9
1
1
2
3
1
1
1
1
5
1
1
1
1
1
7
3
1
1
1
1
1
7
1
2
1
3
1
1
3
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
3
4
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
17
1
1
1
1
4
1
1
7
1
2
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
1
1
3
1
1
1
2
153
1
1
1
1
9
3
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
15
1
1
1
5
1
1
4
1
3
1
2
5
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
3
1
1
1
3
1
1
2
2
1
1
3
2
1
3
1
1
1
2
3
3
1
1
1
2
1
1
3
1
3
1
2
1
1
2
1
1
1
1
3
1
1
2
1
1
3
1
1
1
13
1
1
1
2
1
3
1
1
1
2
9
2
1
1
9
1
1
1
3
1
3
3
16
2
1
2
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
3
1
1
2
1
5
1
1
1
3
1
1
4
3
7
1
7
1
5
1
1
1
1
3
3
1
2
1
1
1
1
3
1
2
1
1
1
1
1
13
3
1
1
1
2
1
1
2
1
1
1
1
3
2
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
14
2
2
1
1
1
1
5
3
3
1
3
1
3
5
1
1
2
3
3
1
1
2
1
1
1
1
1
1
1
5
1
1
1
5
2
1
1
1
3
1
3
1
4
1
1
38
3
7
1
1
1
1
4
2
1
1
7
1
1
3
2
2
1
1
3
3
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
3
1
1
2
1
3
3
1
1
15
1
5
3
1
1
1
1
1
1
3
1
5
3
1
1
3
1
33
1
4
1
2
1
1
3
1
1
1
5
3
1
1
2
2
3
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
2
61
1
5
1
1
3
1
2
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
2
3
1
1
1
4
2
17
1
1
1
3
1
3
1
1
1
3
3
1
1
1
1
1
1
1
3
1
2
3
1
1
3
1
1
1
1
1
3
1
1
3
15
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
2
1
1
3
5
1
3
1
1
1
3
1
3
1
3
1
1
1
1
8
1
1
1
1
33
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
2
1
17
1
1
1
1
2
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
19
2
3
2
5
1
1
1
1
1
3
1
1
11
1
1
1
1
1
1
3
1
1
1
6
2
1
2
3
1
19
1
3
1
2
1
6
1
1
2
1
1
12
1
1
1
1
1
3
3
2
5
1
7
3
1
1
2
3
2
1
1
5
2
1
1
1
1
1
2
1
1
1
1
1
5
3
1
1
3
3
8
1
1
1
1
1
1
1
1
1
19
1
3
2
1
1
1
1
3
1
2
2
1
1
1
5
1
1
1
1
8
2
1
1
1
5
1
2
3
1
5
1
1
2
1
2
2
3
1
1
1
1
4
1
1
1
1
1
1
4
1
3
3
1
1
5
1
2
1
3
26
1
3
2
2
3
3
3
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
3
1
2
1
1
3
2
1
1
3
1
1
2
10
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
2
2
1
6
3
1
1
3
3
1
1
2
1
2
1
2
1
3
1
3
1
1
1
1
1
2
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
81
3
3
3
1
3
3
1
8
1
3
3
5
1
1
1
1
5
2
1
1
1
2
3
2
1
1
1
3
2
1
1
1
1
1
4
1
1
1
1
3
1
1
3
1
2
3
3
13
1
1
3
1
3
3
18
1
1
2
1
1
1
1
2
3
1
1
1
1
2
3
1
1
3
2
3
1
3
1
1
3
1
1
1
5
1
3
1
3
1
1
2
2
1
2
1
1
3
1
2
1
1
1
6
3
1
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
3
3
1
1
4
18
1
1
3
3
3
1
1
1
1
3
3
1
3
1
2
1
1
1
3
1
1
3
3
1
1
3
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
3
4
1
1
3
1
4
5
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
2
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
169
2
1
1
1
1
1
1
1
2
2
7
1
1
2
132
1
1
1
1
1
1
1
3
1
1
1
2
1
3
5
2
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
2
4
1
1
1
1
1
1
2
1
1
1
1
1
4
3
1
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
1
1
1
10
1
1
1
1
3
1
6
1
5
3
3
1
1
3
1
5
2
1
3
1
1
1
2
1
1
1
1
15
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
9
1
3
1
1
2
1
1
1
1
4
1
1
2
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
1
3
1
3
1
3
1
3
14
1
1
1
1
2
2
5
1
1
1
3
12
1
1
1
8
9
1
1
1
2
1
2
2
2
1
2
1
1
1
1
1
6
2
1
1
1
1
1
1
1
1
3
1
4
4
3
1
1
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
67
2
1
3
3
2
1
3
3
4
1
1
1
2
2
5
2
3
1
1
1
3
1
10
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
2
1
1
3
1
1
1
1
3
2
1
5
3
1
1
1
1
1
1
1
3
7
2
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
3
1
1
1
1
1
3
1
1
1
1
1
1
2
3
3
1
2
1
1
1
1
1
2
3
7
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
9
1
3
1
1
1
1
1
5
3
2
1
1
1
1
1
1
1
1
3
5
2
1
1
3
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
24
3
3
1
1
1
5
1
1
10
3
1
4
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
2
9
2
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
1
3
3
1
3
1
2
2
3
1
1
1
1
5
1
1
5
1
3
2
3
4
1
1
1
1
1
2
1
3
3
1
1
3
1
1
1
1
5
1
1
1
7
1
1
2
1
1
3
1
3
1
11
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
2
1
2
1
47
1
2
1
1
1
1
3
1
3
1
1
3
3
1
2
2
1
2
1
5
1
1
3
1
1
3
1
3
3
2
1
3
1
1
1
1
1
1
1
3
1
1
1
3
9
1
5
1
1
1
1
1
1
3
1
13
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
28
1
1
1
1
1
67
7
1
1
2
19
1
1
1
2
4
1
1
1
3
1
3
1
2
3
1
3
1
3
3
1
1
1
1
1
35
1
1
1
1
3
1
1
1
1
3
1
6
1
1
1
1
7
1
1
2
2
1
1
5
1
1
3
1
2
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
3
1
6
5
2
1
1
1
1
1
2
1
1
1
1
63
1
3
1
3
1
7
1
1
1
2
1
1
1
1
1
1
3
1
1
4
2
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
3
1
1
3
1
3
1
5
1
3
1
3
1
3
2
1
2
1
1
1
1
1
1
2
3
1
3
1
2
3
1
7
1
3
1
3
3
1
1
1
3
2
2
2
1
2
1
1
2
3
3
3
2
3
1
1
1
3
1
3
1
1
1
3
1
3
3
1
5
3
1
1
1
1
1
1
3
1
1
6
1
1
5
3
1
2
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
2
1
1
2
1
3
2
1
1
3
1
1
1
7
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
5
1
2
1
1
7
1
3
1
4
1
3
1
1
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
2
1
3
3
1
2
1
1
2
1
1
1
1
12
2
1
1
1
1
1
7
1
2
1
1
2
1
1
3
1
3
1
2
1
2
2
1
1
7
3
5
1
1
3
1
1
2
2
1
1
1
1
2
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
5
1
3
1
1
1
1
5
1
1
3
2
3
1
1
6
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
15
3
1
5
7
1
1
5
1
1
1
2
1
3
3
1
1
5
1
2
1
1
1
1
3
1
1
1
3
1
1
2
8
3
3
3
1
2
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
5
1
3
1
1
1
1
1
1
3
1
1
5
19
1
1
1
5
1
7
2
3
1
5
1
9
18
1
3
7
3
3
1
2
1
1
1
2
1
1
1
5
1
1
20
3
3
3
1
1
1
1
3
1
1
1
5
1
3
1
1
3
1
8
1
3
1
5
1
3
1
1
3
1
1
1
1
2
1
2
2
1
1
10
1
1
1
1
3
1
3
1
1
17
1
1
1
1
1
1
1
1
8
3
1
2
2
2
1
1
2
2
3
3
1
6
1
7
2
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
3
1
1
4
5
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
3
1
5
3
1
1
2
1
1
3
1
1
1
3
1
3
1
1
1
3
1
3
3
1
7
3
1
1
5
1
1
1
1
2
3
1
1
1
2
1
1
3
3
5
1
3
1
1
1
1
1
1
1
1
1
1
1
15
4
1
3
2
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
27
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
14
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
3
1
1
1
1
1
1
1
4
2
1
11
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
9
2
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
3
2
3
1
1
5
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
41
1
4
1
1
3
3
4
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
6
12
1
1
2
1
1
17
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
3
1
1
1
1
1
2
1
1
3
1
1
2
1
1
3
3
3
3
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
10
1
1
1
3
3
1
1
1
7
5
1
2
3
5
1
3
3
2
1
3
1
1
3
23
3
1
2
1
2
1
1
1
1
2
4
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
4
5
1
9
3
1
3
1
13
1
1
7
1
5
1
1
1
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
9
1
1
4
1
1
1
1
1
2
2
1
3
1
1
1
3
3
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
6
1
1
2
1
1
5
4
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
2
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
3
3
1
1
3
2
1
9
1
2
5
1
1
3
23
1
1
8
1
3
5
3
3
1
1
1
1
1
2
3
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
3
1
1
2
3
1
1
1
2
1
1
1
3
2
1
1
1
4
2
3
1
3
1
1
1
5
2
1
1
1
1
1
4
1
1
1
1
4
3
6
1
1
1
1
1
3
1
5
1
1
3
1
2
1
1
2
1
1
1
1
1
3
52
1
21
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
3
1
1
3
1
3
1
1
3
1
1
6
5
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
5
1
4
1
1
1
2
1
1
1
1
6
1
3
3
1
1
1
4
1
1
3
3
1
1
3
3
1
1
1
1
3
1
1
4
1
1
3
2
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
1
1
2
1
1
1
1
3
2
1
2
1
3
1
1
2
1
1
1
2
1
1
1
1
11
1
1
10
1
2
1
1
2
2
1
3
1
1
3
3
1
1
1
1
5
3
3
1
3
1
2
11
3
2
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
5
5
1
1
3
1
1
1
1
2
57
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
3
6
3
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
9
1
1
1
438
3
1
1
1
1
1
1
2
1
4
7
3
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
14
1
3
1
1
1
3
1
1
1
1
1
3
1
1
17
3
1
1
1
1
1
12
3
7
1
1
1
1
1
1
1
2
3
1
3
2
1
3
1
1
2
1
7
2
3
1
2
1
1
1
2
1
7
9
1
1
3
8
1
1
1
1
1
3
3
1
1
1
3
3
1
15
1
4
2
3
17
1
3
1
1
3
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
57
1
1
1
3
1
2
1
1
4
1
49
1
1
3
1
5
1
1
2
1
1
2
5
2
1
1
1
1
35
1
1
1
3
1
2
5
3
3
1
1
1
1
1
1
3
1
1
1
9
1
1
3
1
1
2
1
1
5
1
1
1
3
4
1
1
1
3
3
1
3
1
1
1
1
1
1
1
2
1
1
1
3
4
3
1
3
1
1
1
1
1
1
1
1
2
1
2
3
2
3
7
1
1
1
3
1
1
1
3
1
7
1
1
1
2
2
1
1
1
1
1
1
5
5
1
1
1
2
1
1
1
1
1
2
1
1
1
3
4
3
3
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
4
1
3
1
1
1
1
3
3
1
11
3
1
1
3
1
1
3
5
1
1
3
39
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
6
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
3
2
2
2
1
1
1
1
2
3
1
1
1
3
1
1
1
79
3
1
1
5
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
9
1
1
1
1
7
1
1
1
1
2
1
3
3
1
3
3
1
9
1
1
2
3
1
1
34
1
3
1
1
1
1
3
1
1
2
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
2
1
1
5
1
3
1
1
4
3
1
1
2
1
1
1
1
1
1
1
2
1
3
1
3
10
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
3
3
3
1
1
15
2
1
2
1
3
3
6
3
7
37
2
2
1
1
1
5
1
1
1
1
1
3
1
1
1
2
1
1
1
2
3
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
2
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
3
3
3
1
2
1
1
1
1
3
4
2
1
3
1
1
39
1
1
1
1
3
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
5
1
3
2
3
1
1
5
1
1
1
1
25
9
1
3
4
3
1
3
3
3
1
3
2
3
2
1
1
1
2
3
1
1
1
1
3
3
1
1
1
1
3
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
3
1
1
3
10
1
1
1
1
5
1
1
1
1
3
1
1
2
7
1
1
3
1
1
2
15
1
2
1
3
1
5
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
15
1
1
1
2
1
1
1
3
1
1
1
1
1
1
7
1
3
1
2
1
2
2
1
1
7
2
3
1
8
5
1
3
2
1
1
1
1
1
1
1
15
93
1
1
2
1
2
1
1
1
1
3
1
3
1
1
3
3
8
2
2
1
3
1
5
2
1
4
2
1
1
3
1
3
1
1
1
1
1
22
3
1
1
5
3
3
1
1
1
2
21
5
2
1
1
1
3
7
1
1
3
1
1
2
1
1
3
2
1
3
2
1
1
1
7
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
2
1
1
1
1
1
1
1
3
37
1
3
2
1
2
9
2
1
1
1
1
1
3
3
1
1
1
1
1
1
5
2
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
3
4
1
6
1
1
1
1
1
1
1
1
1
1
3
3
40
1
1
3
1
2
1
3
3
1
3
1
3
1
4
1
1
1
1
1
3
11
1
4
3
3
2
1
1
1
3
1
2
7
3
1
1
3
2
3
1
2
3
1
1
13
3
3
3
2
1
1
1
1
2
2
1
3
1
3
2
2
1
1
7
3
5
1
5
1
1
1
3
1
139
1
4
33
3
1
1
1
1
3
1
1
1
12
3
1
1
5
1
1
3
1
4
3
1
2
1
5
1
1
1
2
3
1
1
2
1
1
1
3
1
1
1
5
1
2
1
1
1
1
1
3
1
3
3
3
1
1
1
1
1
1
1
1
1
1
19
1
3
1
1
1
1
1
11
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
3
1
2
1
3
1
3
1
2
3
1
1
13
3
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
6
2
7
3
3
1
1
1
4
1
1
5
2
1
1
2
2
3
1
1
1
1
2
29
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
5
1
2
1
1
2
1
1
1
2
3
1
1
1
1
5
1
1
1
1
1
1
1
1
3
3
1
1
3
22
1
3
1
2
1
1
1
1
3
11
7
45
19
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
4
3
1
1
1
1
1
1
1
3
1
5
223
13
1
1
3
1
1
1
1
1
1
1
3
1
9
2
1
1
1
5
1
19
3
1
2
3
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
3
1
35
1
1
1
3
1
1
1
1
1
1
37
3
1
1
1
1
1
1
3
2
3
1
3
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
1
3
2
1
1
2
1
2
1
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
2
1
1
1
3
15
1
1
1
3
1
3
1
1
3
3
1
2
1
1
1
5
1
3
1
1
1
1
1
3
1
1
1
1
3
7
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
10
1
3
1
1
3
1
1
1
3
3
5
1
1
1
3
1
1
2
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
3
2
1
1
1
1
3
3
3
3
5
2
3
1
1
3
1
1
15
3
1
2
1
3
3
1
3
1
1
1
1
6
1
1
1
1
2
3
1
1
1
3
3
1
1
1
5
1
1
3
1
3
1
2
1
2
1
3
1
5
1
1
1
3
3
3
1
1
3
1
3
3
3
1
3
1
11
1
1
3
3
1
5
1
1
5
1
1
3
1
1
1
1
1
7
1
1
5
1
2
1
1
1
1
2
1
1
1
1
1
1
1
35
1
3
1
3
3
1
3
1
1
1
2
1
1
1
1
1
1
1
2
2
5
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
4
1
2
1
1
3
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
3
3
10
1
1
1
3
1
1
1
1
1
7
1
1
3
11
1
2
1
2
1
1
1
2
1
1
2
1
38
1
1
1
1
3
1
1
3
1
1
5
1
2
23
1
1
3
7
1
1
1
1
2
1
1
1
1
1
83
1
1
1
1
1
1
3
1
3
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
13
9
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
3
3
5
1
1
3
2
1
1
1
5
6
1
1
1
1
2
1
11
1
1
4
2
1
1
2
17
1
1
1
1
1
2
1
1
1
1
6
3
3
1
1
2
1
1
1
1
1
1
1
4
1
3
1
1
1
1
3
1
1
3
1
3
1
3
1
3
1
1
1
3
5
3
1
1
1
1
1
1
2
1
1
1
1
3
3
2
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
13
1
1
21
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
3
1
1
3
1
1
3
1
4
1
1
2
2
1
2
1
7
1
1
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
5
1
1
5
2
2
3
1
1
1
1
7
1
1
1
43
1
1
3
3
3
19
1
2
2
1
1
1
3
1
1
1
1
7
1
1
1
1
5
1
2
1
1
1
1
1
1
7
1
3
5
1
2
7
7
9
1
1
1
1
3
1
153
1
1
1
3
1
9
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
3
5
3
1
5
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
3
3
3
3
2
3
1
8
5
1
1
1
1
1
5
1
2
1
1
1
1
5
1
1
1
2
1
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
37
1
2
1
1
3
3
1
3
3
1
3
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
11
3
1
1
1
1
3
1
29
1
3
1
3
1
11
1
49
2
17
1
1
1
13
1
5
2
1
2
1
3
1
2
6
1
1
1
2
3
2
1
3
2
1
1
1
1
5
3
2
1
1
1
1
1
1
2
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
3
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
3
1
5
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
3
1
1
2
1
3
3
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
2
2
3
1
1
1
1
2
3
3
1
3
1
1
3
5
3
2
1
3
1
1
1
1
1
1
1
1
2
1
2
1
5
11
5
1
5
1
2
1
1
2
1
3
1
3
3
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
19
1
1
3
1
4
1
1
1
1
1
2
1
3
1
1
1
5
1
2
2
1
1
1
3
3
1
17
1
1
3
1
7
1
3
1
3
1
3
1
3
1
1
2
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
2
2
3
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
16
1
1
17
1
1
1
3
1
3
1
1
1
1
1
7
1
2
2
1
1
1
5
9
1
1
1
1
2
3
1
1
11
1
1
1
1
7
1
1
1
2
1
1
3
4
1
1
1
1
1
1
8
1
3
1
1
2
1
1
1
3
1
1
3
1
4
1
1
3
1
1
1
27
1
1
1
1
5
1
6
1
15
1
5
1
19
1
3
1
1
1
4
2
3
5
7
1
1
1
4
1
2
1
7
3
2
1
1
1
2
1
1
1
7
1
1
3
1
2
7
2
3
1
1
3
3
1
1
1
1
2
2
1
1
3
1
1
1
1
1
1
5
1
3
1
1
3
1
1
1
3
1
3
3
1
1
1
1
1
1
1
6
2
1
3
3
1
1
1
3
1
1
6
3
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
3
1
1
5
3
1
3
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
70
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
3
3
1
1
1
1
1
1
2
1
19
3
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
7
1
2
1
1
3
1
1
1
2
3
1
1
1
3
1
1
13
3
2
15
3
1
3
27
2
3
1
1
2
1
2
1
1
1
3
1
1
2
2
1
2
1
1
1
1
1
1
13
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
13
5
1
2
3
1
3
3
2
3
1
1
1
4
1
1
1
30
2
1
1
2
1
2
2
2
1
1
1
1
3
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
2
1
3
1
1
1
1
1
1
3
1
7
1
3
1
5
3
1
1
2
1
1
1
1
1
1
1
2
1
1
7
1
1
1
2
1
19
5
2
1
1
1
1
1
3
3
3
1
1
3
1
3
2
2
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
63
1
1
1
1
4
1
3
1
1
3
1
2
3
2
1
1
1
5
3
1
2
1
3
4
3
1
5
2
3
1
2
1
1
1
1
1
1
5
1
1
1
6
1
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
8
1
1
3
2
1
1
1
1
3
1
2
1
1
2
2
11
1
1
1
3
1
5
1
1
1
1
3
1
1
3
2
3
1
1
1
4
5
1
1
2
1
1
5
1
1
1
1
1
1
13
3
3
1
2
3
2
1
3
1
11
1
1
1
1
2
1
3
1
2
1
1
2
1
2
8
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
10
1
3
1
2
3
3
1
2
1
3
2
1
1
1
1
5
2
3
1
3
1
3
1
3
23
2
1
1
1
1
3
1
1
3
1
1
1
3
1
1
2
1
2
3
7
1
35
1
1
1
3
1
1
1
1
1
3
3
4
3
1
1
17
3
1
4
3
1
1
2
1
3
3
5
1
1
1
2
1
1
1
1
1
1
2
3
1
1
1
3
1
1
4
19
2
3
3
1
1
3
2
1
1
1
3
1
1
1
3
1
1
3
1
1
4
3
3
3
1
1
2
1
1
1
2
1
1
1
1
1
1
3
2
3
3
1
3
3
1
1
1
3
1
1
5
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
17
1
23
5
13
1
1
1
1
1
3
1
1
1
1
2
1
1
2
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
3
3
2
93
3
3
1
1
1
1
1
1
1
2
5
1
2
1
3
1
3
2
1
1
7
3
1
1
1
1
1
1
2
15
1
3
3
1
1
1
5
3
62
1
2
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
24
3
2
1
1
1
3
13
1
5
2
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
3
1
1
2
1
1
1
1
1
1
7
1
1
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
2
1
2
1
3
1
2
1
3
1
2
3
1
3
1
1
2
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
2
3
1
3
1
1
1
2
3
1
1
2
1
3
1
1
1
1
1
1
4
4
1
3
1
1
1
1
3
1
3
93
1
1
1
1
1
3
1
7
1
1
1
1
1
3
1
1
1
1
4
2
1
1
1
3
1
1
2
1
3
3
2
2
2
1
1
1
7
1
1
3
1
2
1
1
3
1
3
1
1
2
1
1
2
3
1
1
4
1
1
3
3
3
1
7
2
2
1
1
3
1
2
1
5
1
2
1
1
1
1
1
1
1
36
3
1
1
1
1
1
1
1
3
19
3
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
6
1
9
1
3
3
4
1
19
1
1
3
1
1
1
29
1
2
1
1
1
1
3
2
4
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
3
1
1
2
1
1
1
7
1
1
5
3
1
1
1
1
1
2
1
3
15
1
1
1
3
5
1
1
1
1
1
1
2
3
1
1
2
1
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
3
3
1
1
1
1
1
12
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
7
1
1
4
1
1
1
1
1
1
46
3
1
3
1
1
3
1
1
2
1
1
1
1
2
3
1
3
1
1
1
5
9
1
1
1
3
1
2
1
1
3
1
3
3
56
1
1
1
1
2
5
3
1
1
1
1
3
41
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
11
1
1
1
1
3
1
1
1
5
1
1
1
1
3
1
2
1
1
2
1
3
6
4
1
1
1
1
1
1
2
3
1
3
1
1
1
7
1
1
5
1
1
1
1
1
1
1
1
3
1
2
2
1
6
1
1
4
1
1
1
3
3
1
1
2
1
2
5
1
1
1
1
1
3
1
2
1
5
1
7
1
7
1
1
33
1
1
1
3
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
2
4
1
2
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
7
3
3
1
1
1
1
1
1
1
3
9
1
3
1
1
2
2
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
13
1
1
1
1
5
1
1
1
1
1
2
1
3
1
1
1
1
8
3
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
7
2
9
1
2
3
1
1
1
1
3
3
1
1
1
1
1
3
15
1
5
5
3
1
1
21
1
8
1
15
2
3
1
3
1
3
1
15
1
3
2
1
1
55
1
1
2
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
5
13
1
1
3
1
1
7
5
5
1
3
1
1
1
1
1
1
1
1
1
3
1
9
1
3
3
3
2
1
3
1
1
1
1
2
3
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
3
2
1
3
1
1
1
1
1
8
1
1
1
1
5
1
1
1
13
1
1
3
1
1
1
3
2
1
1
1
1
1
3
1
3
1
3
3
2
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
2
1
3
7
1
3
1
1
1
4
1
2
3
1
1
1
1
1
2
3
1
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
2
3
3
1
3
3
1
1
1
3
11
59
3
1
1
1
7
1
1
4
3
1
1
1
1
1
1
1
5
5
3
2
1
2
1
1
1
1
1
1
1
2
2
1
1
21
1
3
1
3
1
2
1
1
1
5
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
2
3
2
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
4
3
3
1
3
3
1
3
1
1
2
1
1
1
1
1
1
11
1
2
3
1
1
1
1
2
1
1
5
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
12
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
3
5
5
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
2
237
1
4
1
1
1
1
1
1
4
1
1
2
3
2
4
2
1
1
3
1
1
1
1
3
2
1
2
3
3
1
1
1
5
2
3
1
3
1
1
4
1
3
3
2
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
3
3
1
2
1
1
1
3
3
1
5
2
1
7
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
2
2
1
1
1
1
3
2
1
1
3
1
1
1
13
1
3
1
1
2
3
1
1
1
1
1
1
1
2
1
5
3
1
1
1
1
1
5
3
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
9
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
5
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
49
1
1
3
1
3
1
1
1
2
1
5
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
4
1
2
1
2
1
1
3
1
2
3
11
1
1
5
1
1
1
1
13
1
1
1
1
1
2
1
1
1
1
3
4
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
9
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
2
2
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
9
1
1
1
1
3
3
5
1
1
1
1
3
1
5
6
3
3
5
19
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
2
1
3
1
1
1
1
5
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
17
1
1
1
1
2
5
5
1
79
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
13
3
1
1
3
1
1
3
1
2
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
3
1
3
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
2
1
17
1
1
1
1
8
3
1
5
1
3
1
2
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
31
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
5
5
1
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
23
5
2
1
1
1
2
1
1
1
2
1
1
2
6
1
1
3
2
1
1
2
1
3
3
2
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
5
1
1
3
3
1
2
1
2
2
1
1
1
1
13
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
3
1
6
1
1
1
3
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
3
1
1
1
1
3
3
9
1
1
3
3
3
1
16
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
2
2
1
3
1
2
1
1
1
3
2
1
5
1
3
1
1
1
1
3
1
1
5
1
9
1
1
1
1
1
1
1
2
1
2
2
7
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
3
2
31
1
1
1
1
3
1
2
1
1
1
1
1
1
5
1
1
2
1
1
1
1
2
3
1
1
1
1
3
3
1
1
3
1
1
4
1
3
3
3
2
1
1
1
1
3
1
1
1
2
1
1
5
1
5
1
2
1
1
1
5
1
1
1
1
3
3
3
1
3
1
2
1
5
1
2
3
2
1
3
2
2
1
1
2
1
1
1
2
13
2
3
1
1
1
39
1
2
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
3
1
615
1
5
1
1
3
1
1
1
3
1
3
5
2
1
1
1
3
1
1
1
2
1
21
3
1
1
1
1
1
1
1
1
2
1
1
13
1
1
2
1
1
1
1
5
3
1
1
2
1
1
3
1
1
1
1
1
1
2
5
1
1
1
5
1
9
1
1
2
1
3
3
1
1
1
1
4
4
1
1
3
1
2
3
1
2
2
1
1
1
1
3
1
3
2
3
1
1
1
5
1
7
1
1
1
1
2
4
1
1
1
4
1
5
1
2
1
1
1
1
1
3
2
1
1
1
1
2
2
1
2
1
1
2
3
1
1
1
1
2
3
1
3
1
1
10
1
1
2
1
1
1
1
3
1
1
1
1
1
25
1
1
3
1
8
1
19
1
1
3
1
1
1
19
2
1
1
2
1
1
1
3
1
1
1
2
2
1
3
1
3
3
1
34
1
1
1
3
3
2
1
28
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
2
3
2
1
3
2
1
1
1
1
3
5
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
1
6
1
1
3
1
1
1
1
1
2
1
2
3
1
1
1
1
3
1
5
1
3
1
1
3
1
1
1
17
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
4
1
1
1
1
1
2
1
2
1
3
3
1
1
5
1
1
3
5
1
1
1
3
1
2
1
1
2
2
1
1
1
1
1
3
1
1
3
3
1
3
1
1
3
1
1
6
3
1
1
1
2
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
2
2
3
5
1
1
1
2
1
1
1
3
5
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
2
5
1
3
3
2
1
1
3
2
1
1
3
2
28
3
2
1
1
1
3
4
1
2
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
1
1
10
2
1
3
1
3
2
1
3
1
1
1
3
5
2
1
2
1
3
1
1
7
1
1
1
2
1
1
1
9
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
2
3
1
2
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
15
1
2
3
2
1
3
2
1
3
3
1
1
1
1
1
1
1
321
1
3
1
1
1
1
1
3
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
3
1
1
1
3
1
1
3
1
2
1
4
3
2
1
1
1
2
3
3
3
2
1
3
12
1
1
1
1
1
3
3
1
13
3
1
5
3
1
3
1
3
2
3
1
1
1
1
1
1
2
1
1
5
3
1
1
1
5
1
3
1
1
1
1
1
3
1
2
3
1
2
1
1
3
3
1
1
1
1
3
9
1
2
1
1
5
3
1
2
1
38
1
3
1
1
1
2
1
2
3
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
3
1
1
1
2
2
1
1
3
1
1
1
1
5
3
1
1
1
4
1
1
7
1
1
3
3
1
2
1
1
33
2
1
2
1
3
3
1
1
1
1
1
2
1
3
1
6
3
1
1
1
1
1
1
2
1
2
1
1
1
1
7
3
1
1
1
2
1
1
1
3
3
1
1
1
1
1
9
1
2
1
1
1
1
1
39
21
3
1
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
2
2
3
2
1
3
1
1
2
1
1
1
1
3
2
1
1
1
1
2
3
3
1
5
3
1
105
9
3
1
3
1
7
1
3
1
1
1
1
1
1
1
1
2
1
3
1
3
1
2
1
1
1
2
2
1
3
1
1
3
5
3
7
2
3
1
2
2
1
1
1
1
3
1
2
1
7
1
1
1
1
8
2
1
2
1
1
1
1
45
1
4
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
3
1
3
7
5
3
7
5
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
1
18
1
1
1
7
2
1
3
1
2
1
1
1
1
3
7
3
1
3
5
1
1
3
1
1
1
11
3
2
1
1
1
1
1
1
3
1
3
1
1
1
1
21
3
1
1
1
1
1
3
4
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
7
1
1
2
1
5
2
1
5
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
5
2
1
37
1
2
2
1
3
1
1
1
3
2
3
1
1
1
1
1
1
1
7
4
1
1
1
1
1
3
3
2
1
3
5
1
1
3
1
1
1
1
3
1
2
1
13
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
3
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
3
1
1
1
3
1
3
1
1
5
3
3
2
3
1
2
1
5
1
1
3
9
1
1
1
1
3
1
1
3
3
4
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
1
5
1
1
1
1
2
1
3
3
1
2
3
1
2
1
7
2
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
5
1
3
1
9
3
15
1
2
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
5
3
1
1
1
1
3
31
1
3
1
3
1
4
1
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
3
3
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
3
4
1
2
1
1
1
1
3
1
3
1
1
3
2
2
1
3
1
3
1
8
1
1
3
2
5
1
4
1
2
5
2
3
3
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
2
1
1
3
1
1
1
1
2
1
3
3
1
1
1
1
2
1
4
1
3
1
1
2
2
10
3
1
1
1
3
1
1
3
3
1
1
3
1
5
1
2
1
1
1
1
1
1
3
4
1
2
1
3
3
1
1
1
1
5
1
1
2
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
5
1
1
2
1
2
3
2
1
1
1
1
1
1
1
5
1
2
4
1
1
1
2
1
1
1
9
1
7
5
2
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
3
1
6
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
4
3
6
3
1
1
1
3
1
1
3
1
1
33
1
1
1
1
1
1
1
2
1
1
2
1
1
1
5
1
1
2
1
1
2
1
2
1
3
3
3
9
1
1
1
3
6
1
1
1
1
1
1
13
2
3
1
1
1
2
1
1
1
5
7
1
1
19
1
2
1
1
1
1
1
4
7
1
1
1
1
1
1
26
1
2
1
1
1
1
3
3
1
5
1
3
1
1
1
1
3
1
25
13
1
1
2
1
1
1
3
1
1
3
2
1
1
1
1
1
1
1
5
1
20
1
1
3
5
1
11
1
3
1
1
1
1
1
1
3
3
1
1
1
2
1
3
1
24
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
7
4
1
1
1
3
1
1
3
3
1
1
1
2
1
5
1
2
2
5
1
3
2
1
1
1
1
2
3
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
3
1
1
1
3
1
2
2
7
5
1
2
1
2
31
1
1
1
18
1
1
3
3
1
1
1
1
4
1
3
3
1
7
5
1
1
3
3
2
3
5
1
3
4
7
3
1
1
3
1
1
1
1
1
3
3
5
1
1
1
1
1
3
2
1
3
53
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
2
1
3
1
1
1
1
113
1
1
6
2
1
1
4
1
1
1
1
2
2
1
1
1
5
1
1
1
1
1
1
2
2
3
1
3
1
1
1
1
4
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
3
1
9
1
1
3
1
1
1
1
3
2
1
3
3
1
1
1
1
1
1
3
3
3
2
1
2
1
1
1
3
49
1
1
2
1
2
1
1
1
3
3
3
3
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
4
1
3
12
1
1
1
1
1
1
1
1
1
1
3
2
1
5
1
1
1
1
3
3
1
1
3
2
2
3
3
1
1
1
3
5
4
1
3
1
1
1
1
3
1
3
2
2
3
1
5
2
1
1
2
1
1
3
1
1
1
1
8
1
1
3
1
1
1
1
3
1
1
2
1
1
3
1
1
2
3
3
1
1
1
1
1
3
1
1
3
1
3
2
1
1
1
1
5
1
3
1
1
3
1
1
3
2
1
2
3
1
1
1
2
1
1
1
1
3
1
1
3
1
11
3
4
3
3
1
3
1
3
1
5
3
1
2
1
1
1
1
2
3
2
1
3
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
2
2
3
2
1
17
3
1
3
7
1
5
1
1
1
1
1
1
1
1
2
1
3
1
1
11
4
1
1
1
1
5
1
1
4
9
2
1
1
1
1
3
1
3
1
8
13
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
27
3
1
1
1
3
2
1
1
3
3
1
2
1
1
1
3
3
1
3
1
1
49
3
2
1
3
1
1
1
3
1
3
3
9
1
1
1
15
3
1
2
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
3
1
2
1
1
2
3
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
3
2
1
1
1
1
2
16
1
3
1
3
2
3
1
1
5
1
3
13
2
1
1
1
1
3
1
7
2
1
2
1
3
5
3
5
1
1
1
1
7
6
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
3
2
2
1
1
1
1
2
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
2
1
3
1
1
15
2
2
2
2
1
1
1
1
3
1
1
1
3
1
1
3
1
3
7
3
3
1
5
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
3
2
1
1
1
1
2
2
3
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
3
3
1
1
3
1
2
1
1
1
1
5
1
1
2
3
1
3
3
1
1
1
1
1
13
9
1
1
1
3
1
1
3
22
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
5
2
3
1
1
1
1
1
5
1
1
2
1
1
1
3
3
2
2
1
1
1
1
1
2
1
1
1
3
5
2
1
1
1
3
2
1
2
1
1
2
1
5
5
1
3
1
1
6
6
1
3
1
1
1
1
2
5
1
3
1
1
2719
1
1
1
2
3
2
1
1
3
1
3
3
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
7
1
1
1
1
1
2
1
2
1
4
1
1
1
3
1
1
1
1
1
2
1
3
1
3
1
1
1
1
3
1
2
1
5
9
1
1
1
3
3
1
2
3
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
3
1
1
3
1
2
1
3
1
1
1
1
2
5
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
3
1
3
1
1
3
2
2
1
1
3
1
1
1
3
1
5
1
1
2
1
3
1
1
3
2
1
1
1
1
1
2
7
1
1
1
1
1
107
7
1
3
3
5
1
1
5
1
1
1
1
2
1
3
3
1
1
3
3
1
1
2
6
3
1
2
1
1
2
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
3
1
1
2
2
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
53
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
2
5
1
1
1
1
1
1
2
1
1
5
5
27
1
3
3
9
1
1
1
1
3
1
1
5
1
1
1
2
3
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
3
1
3
1
2
1
1
1
1
1
1
3
2
1
1
2
3
3
1
1
7
1
1
1
1
11
2
1
1
3
1
1
1
3
5
3
1
1
1
3
1
1
1
3
1
3
3
3
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
5
1
5
1
1
10
1
1
1
3
1
1
3
1
1
1
1
1
3
1
5
1
1
3
3
1
2
7
1
1
5
1
1
3
12
1
1
1
1
1
1
1
7
1
3
1
1
1
3
1
2
1
2
1
1
2
1
2
1
2
7
1
3
1
1
1
3
3
9
2
3
7
1
3
15
1
1
1
1
1
2
3
3
1
3
1
1
5
1
3
2
1
3
1
1
1
1
5
3
1
1
3
1
5
1
1
1
2
1
3
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
4
1
3
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
4
3
1
1
1
1
2
1
7
1
1
3
2
1
1
1
14
1
3
5
2
1
1
2
3
1
4
3
1
1
3
1
5
1
3
2
1
1
1
1
5
1
2
3
2
3
1
1
2
1
1
1
1
1
3
2
1
2
3
1
1
1
1
3
1
1
1
3
1
1
1
5
1
2
19
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
2
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
6
1
1
1
1
2
1
4
2
1
1
1
2
1
2
5
1
3
1
1
1
27
1
1
1
1
1
1
7
1
3
1
1
1
2
1
1
1
1
7
3
1
3
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
2
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
2
1
1
1
1
2
1
1
1
3
2
1
7
1
1
2
1
279
1
3
1
1
1
3
3
2
1
1
1
10
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
3
6
3
2
2
1
7
1
4
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
3
3
1
1
1
1
1
1
1
1
1
1
3
4
2
1
1
1
2
1
1
1
1
15
1
1
365
1
1
3
3
35
1
1
3
5
2
2
1
1
1
1
3
1
1
1
3
1
1
1
1
2
1
3
1
2
2
1
1
1
3
2
3
1
5
3
1
1
1
1
1
1
11
1
1
1
2
3
1
1
23
2
1
19
1
2
1
1
1
2
3
1
1
2
1
3
1
1
1
12
1
1
1
4
1
1
1
2
3
1
13
3
1
1
1
17
1
3
2
8
1
1
1
3
1
1
1
1
1
3
1
4
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
3
3
1
1
2
1
1
3
1
4
3
1
3
2
9
1
1
1
1
3
1
1
1
1
2
3
2
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
10
1
1
1
2
1
4
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
4
1
1
3
1
1
3
3
3
1
2
2
5
1
1
1
3
1
1
2
2
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
19
1
1
1
1
1
2
1
1
1
3
9
1
2
1
1
1
7
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
3
1
1
1
1
3
3
1
2
83
1
1
1
1
1
3
1
1
2
1
1
5
1
1
14
1
1
1
2
1
1
1
1
5
1
3
3
1
4
1
1
1
2
1
1
1
1
6
1
1
2
1
1
1
1
3
1
1
1
1
1
10
1
1
1
1
2
23
4
2
1
6
1
1
7
1
1
1
1
1
1
3
17
1
1
3
3
3
2
1
1
3
1
1
2
3
1
1
7
1
3
1
1
1
1
1
12
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
8
19
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
14
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
3
2
1
31
1
1
2
3
1
1
3
1
1
1
1
1
3
13
2
1
1
7
5
1
1
1
1
1
1
1
2
1
1
3
7
1
3
1
1
3
1
3
1
1
3
1
1
1
1
5
1
1
1
1
3
1
4
1
2
3
1
7
1
3
1
2
1
1
3
1
1
2
2
1
3
1
4
2
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
2
1
1
3
1
1
3
2
1
5
3
3
3
4
1
1
1
1
1
1
1
2
2
1
1
9
1
3
1
1
5
50
1
1
1
1
1
1
1
4
26
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
3
1
2
31
1
1
1
3
5
2
1
1
3
1
2
3
1
3
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
3
9
1
1
7
1
1
1
1
1
1
1
1
1
22
1
3
3
1
3
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
1
3
3
3
2
1
1
1
1
3
1
1
1
5
1
3
2
1
1
3
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
7
5
2
1
1
1
2
1
1
1
3
1
1
1
1
9
1
1
1
3
3
1
1
1
1
5
2
1
1
5
3
1
1
3
1
2
3
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
17
1
1
3
1
1
1
1
1
2
5
2
3
1
1
1
3
1
1
1
1
1
1
5
1
2
1
1
3
1
2
1
1
1
5
1
5
1
2
1
1
1
1
1
1
3
9
3
1
57
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
6
3
3
3
1
1
1
1
1
11
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
47
1
1
5
2
1
1
3
5
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
2
1
1
1
1
1
7
1
1
1
2
3
1
3
3
3
1
2
5
1
3
1
1
1
2
1
1
2
1
5
1
1
7
2
2
3
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
5
1
1
2
3
3
5
1
1
1
3
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
17
1
2
1
4
1
3
1
3
1
1
1
1
1
3
1
3
3
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
5
3
1
3
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
11
1
1
1
2
1
3
1
1
1
1
1
3
3
1
1
1
1
2
3
1
1
1
2
3
1
5
3
1
4
1
3
1
1
1
1
1
1
1
2
20
2
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
36
1
15
2
3
3
7
2
3
1
1
1
3
1
2
2
1
1
3
1
2
1
1
1
4
1
1
3
1
1
2
1
6
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
5
3
3
1
3
1
2
1
1
1
1
1
5
1
3
1
1
1
2
1
1
1
35
1
2
4
1
5
1
1
1
1
3
2
1
1
1
2
1
1
1
5
1
1
1
3
1
8
2
1
2
2
1
5
1
1
1
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
69
1
1
1
3
1
1
1
1
1
1
1
3
2
1
3
2
1
3
1
1
1
1
3
1
3
1
1
1
5
1
3
1
3
3
1
1
2
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
3
1
35
1
3
1
1
1
1
1
7
2
3
2
1
2
2
3
1
1
3
5
3
1
1
1
1
2
1
2
1
1
1
7
64
1
59
5
1
1
1
1
1
4
1
3
3
1
3
1
1
1
1
2
1
1
3
1
1
3
2
1
1
1
1
2
1
4
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
5
2
1
1
2
1
1
1
1
1
1
13
1
1
1
1
9
14
1
3
2
3
1
1
1
3
1
1
11
1
1
1
2
2
1
2
1
1
1
1
1
1
1
56
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
51
5
1
1
1
1
2
1
1
1
1
1
3
3
2
3
1
1
1
2
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
8
1
3
1
1
1
1
3
1
3
3
1
1
3
1
1
3
1
1
1
1
2
1
1
2
3
2
1
7
1
1
1
1
1
1
1
2
1
1
5
1
1
1
6
1
3
1
1
5
1
7
1
1
1
3
1
1
2
2
1
1
1
2
1
2
3
1
1
1
1
1
5
3
1
7
7
1
3
3
1
9
1
1
3
1
1
1
4
7
3
1
3
1
3
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
7
1
1
2
1
5
1
1
4
1
3
2
1
1
1
2
1
2
1
3
1
1
3
3
3
1
1
3
3
1
5
5
1
5
3
3
18
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
3
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
25
4
1
1
1
3
1
1
3
481
1
3
1
2
1
3
2
1
1
1
1
1
1
1
3
5
1
5
2
1
1
1
3
3
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
3
2
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
11
1
1
1
1
1
1
2
2
1
1
2
2
2
1
33
1
1
3
1
1
8
3
1
3
3
2
1
3
1
1
3
3
1
1
3
1
1
3
1
3
3
3
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
3
2
1
1
1
3
1
3
1
3
1
2
4
1
1
1
1
1
1
1
2
1
3
1
7
5
1
1
1
3
7
1
1
1
1
3
1
1
1
1
1
1
1
1
6
3
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
2
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
5
1
1
7
2
3
1
1
3
1
2
2
1
1
1
1
2
1
1
1
1
1
1
29
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
1
6
2
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
5
172
1
3
1
1
1
1
1
1
1
3
1
1
3
2
1
7
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
1
1
1
3
1
2
2
10
3
1
1
1
2
1
3
1
1
3
2
1
3
1
1
3
1
2
1
7
1
1
1
2
26
1
5
1
1
1
1
2
1
1
1
1
1
1
5
1
3
5
3
1
3
1
1
1
3
1
1
1
1
2
3
1
18
11
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
2
1
1
2
1
3
1
3
1
1
1
1
3
1
3
2
8
1
1
3
1
1
3
3
1
3
1
2
1
3
1
3
3
1
2
2
1
1
1
3
2
1
1
7
1
1
1
3
1
3
2
1
1
1
1
1
7
1
1
1
1
1
3
3
3
1
1
2
1
2
1
1
1
2
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
4
1
1
12
3
1
1
1
4
2
2
1
1
3
1
2
5
4
3
1
1
1
1
1
1
1
3
3
1
3
1
1
4
1
2
1
3
1
1
3
2
2
1
1
1
1
4
1
1
1
1
1
3
1
4
1
1
1
1
1
1
4
3
1
1
1
1
1
1
2
1
2
1
3
3
1
2
1
1
2
1
1
1
1
2
7
2
1
1
3
2
6
7
1
1
1
1
3
2
3
2
4
2
1
3
4
1
1
1
1
2
1
15
3
1
3
1
3
1
3
1
1
1
1
1
1
3
1
3
1
5
1
1
1
1
1
1
3
2
3
1
3
1
1
1
1
1
9
10
7
1
1
1
4
1
3
1
1
1
1
7
1
2
1
1
1
5
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
2
1
1
2
4
1
1
1
1
1
2
5
9
15
1
1
1
1
1
9
1
1
1
171
3
1
5
2
1
2
3
2
1
3
1
3
1
1
1
1
1
13
1
2
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
13
1
1
3
3
1
4
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
1
12
1
1
3
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
6
1
1
1
1
1
1
1
1
1
1
1
1
4
4
3
1
1
2
1
1
1
1
3
1
10
3
6
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
2
1
2
3
1
2
7
8
1
1
1
1
1
1
1
1
1
5
1
3
3
5
1
1
1
6
1
3
1
5
1
1
1
3
1
1
1
1
49
1
2
13
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
13
1
3
2
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
3
2
1
3
1
1
2
1
1
1
1
3
2
11
4
1
1
7
1
1
1
1
3
1
1
1
3
2
19
3
1
1
1
9
1
1
1
1
1
1
1
6
1
3
1
1
3
1
1
1
26
1
1
3
4
1
3
1
3
3
1
1
5
1
1
1
1
7
1
3
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1118
129
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
3
1
5
3
1
1
2
1
2
1
1
1
2
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
7
1
1
1
1
3
1
3
1
1
1
1
1
3
2
1
1
2
1
1
1
3
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
9
2
5
3
1
1
1
3
5
1
1
3
1
1
1
3
3
3
1
1
2
11
5
1
1
1
1
1
3
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
2
37
1
1
3
1
1
4
3
47
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
1
1
5
1
3
31
1
1
1
1
1
1
1
1
1
2
1
3
3
3
3
1
2
1
5
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
19
1
7
1
3
7
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
2
1
11
1
4
1
2
1
1
1
1
1
2
1
2
3
1
3
1
1
1
3
1
1
1
1
4
1
1
7
2
1
1
3
1
1
1
1
2
5
1
1
1
3
1
1
3
1
3
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
23
2
1
3
1
1
1
1
2
1
1
3
3
2
1
45
1
2
1
1
3
1
3
1
1
1
1
7
3
2
2
2
3
2
1
1
2
1
1
1
2
3
1
1
1
1
3
1
1
1
1
5
1
2
3
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
1
1
1
1
2
1
1
5
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
7
2
3
3
1
1
17
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
2
43
1
1
1
1
11
2
2
1
3
1
1
3
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
3
1
3
1
4
1
9
1
1
1
1
1
2
1
1
1
1
2
7
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
47
1
3
2
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
3
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
2
3
1
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
1
1
3
1
1
1
5
1
1
1
1
3
1
1
1
1
51
1
2
1
1
1
15
1
1
3
1
1
1
2
2
1
1
2
1
1
3
1
1
1
1
1
1
3
1
11
3
2
3
3
1
1
1
2
3
2
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
5
3
1
1
1
1
1
3
1
2
1
5
2
1
1
1
6
1
3
1
1
1
1
2
1
1
3
1
1
1
3
1
19
1
1
2
3
2
1
1
1
1
1
1
2
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
3
1
3
1
1
3
1
1
2
3
1
3
1
1
1
3
1
1
1
1
1
2
2
17
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
5
1
2
2
1
1
1
1
3
1
1
2
1
1
1
3
1
3
1
1
19
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
3
1
3
1
1
1
2
1
1
1
2
1
3
1
1
3
2
5
1
1
1
1
1
17
1
1
1
3
1
27
1
1
3
1
1
1
2
2
3
4
1
1
1
2
2
1
3
1
3
1
1
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
9
3
3
1
3
1
2
1
1
1
2
5
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
10
1
3
3
1
1
1
2
1
1
1
1
3
1
1
2
1
3
1
5
1
3
1
1
1
3
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
3
1
1
2
3
1
4
3
1
1
2
1
3
1
1
2
1
2
1
177
1
2
3
1
1
3
3
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
3
1
2
2
1
1
3
1
6
1
2
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
1
103
1
1
3
1
1
1
1
5
1
1
3
1
1
2
1
1
1
13
1
1
2
3
1
3
1
1
3
1
33
1
1
1
1
1
1
3
1
1
1
7
1
1
1
2
1
1
1
2
2
1
2
4
1
1
3
1
1
1
1
2
1
7
1
2
2
1
3
2
5
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
3
1
1
1
1
35
1
5
2
1
1
1
3
1
1
1
1
1
3
4
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
4
1
1
2
3
1
1
1
2
1
3
1
1
1
1
1
7
1
1
3
1
1
1
5
1
3
3
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
3
5
1
1
1
7
9
11
1
1
2
1
1
1
3
1
1
1
16
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
5
1
1
1
1
1
1
1
1
5
5
1
3
3
2
1
1
1
3
1
1
2
1
3
4
1
1
2
1
1
1
1
5
1
3
3
1
1
1
1
1
1
3
1
1
3
1
1
3
2
3
1
5
1
1
2
1
2
7
1
3
1
1
110
1
2
1
1
1
5
1
3
2
4
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
1
1
1
5
1
1
1
1
7
2
7
5
3
3
1
9
1
1
1
7
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
7
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
27
1
1
1
3
1
1
1
2
1
3
1
1
1
8
39
1
3
1
5
1
1
3
1
2
1
1
1
3
3
2
1
1
1
3
1
3
17
1
1
1
3
1
1
1
1
3
1
1
16
3
1
1
1
1
1
2
3
3
1
9
1
1
1
1
3
1
1
1
35
1
2
1
3
1
2
1
3
3
1
1
1
1
1
13
2
1
7
1
1
1
2
3
3
1
1
1
3
2
1
1
2
3
1
3
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
4
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
37
1
3
1
1
3
1
2
1
3
3
1
1
3
1
1
3
1
1
1
2
3
1
1
1
3
1
1
1
1
1
4
2
1
1
3
1
2
3
3
3
5
1
3
1
1
1
1
2
1
2
3
1
1
3
1
1
1
1
1
1
35
1
2
33
3
1
1
3
2
3
9
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
4
1
3
1
1
1
3
1
1
1
1
5
2
1
1
4
1
2
1
2
1
1
2
1
2
3
1
1
2
1
1
2
1
1
1
1
1
1
2
7
1
1
1
2
1
3
2
3
1
1
1
1
1
1
1
1
3
3
2
1
2
1
5
1
2
31
2
1
3
1
1
1
1
1
1
1
5
1
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
3
1
2
1
1
3
1
3
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
2
3
2
1
1
1
13
3
1
3
1
1
1
3
3
1
1
1
6
1
1
3
3
1
1
1
1
4
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
4
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
7
1
3
1
3
3
1
1
3
1
1
5
3
3
1
3
3
1
3
1
2
13
1
3
1
1
1
1
1
1
1
3
1
1
2
2
1
1
3
3
3
1
1
1
20
5
1
1
1
3
1
1
1
1
3
1
7
3
1
1
1
2
3
1
1
3
1
1
1
1
1
1
1
2
6
2
1
1
1
1
1
3
2
1
2
3
1
1
1
3
1
1
1
2
3
1
7
1
1
1
1
1
15
1
1
1
1
1
1
1
2
1
1
1
7
1
1
2
1
1
1
1
1
3
1
1
1
1
3
3
7
1
1
7
4
3
1
1
1
5
5
1
1
5
1
1
1
3
1
1
1
1
1
3
2
11
5
1
4
1
1
1
1
1
1
3
1
1
5
3
4
1
1
1
1
3
1
1
1
3
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
2
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
3
1
2
1
2
1
2
1
1
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
2
1
1
1
1
3
3
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
3
11
3
2
2
3
395
2
1
1
1
1
1
1
4
1
3
1
1
3
1
1
1
1
2
1
3
9
1
3
2
47
1
1
1
2
1
1
1
3
2
1
2
1
1
1
1
1
1
1
2
1
1
1
4
1
7
1
9
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
5
1
1
9
1
1
1
1
1
4
1
1
17
1
1
1
1
3
1
1
3
1
1
1
1
3
2
1
17
2
1
1
1
3
1
1
1
1
1
1
1
1
4
3
3
1
1
2
1
3
1
3
3
1
1
2
1
5
3
1
1
3
3
1
14
1
1
1
3
1
1
2
1
1
2
3
1
1
1
1
2
3
2
1
1
5
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
3
3
3
1
1
1
1
1
1
374
1
1
3
3
1
1
1
3
3
1
2
1
1
3
1
1
1
1
3
2
1
1
1
2
3
1
2
2
1
1
5
3
6
1
1
1
1
3
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
2
10
1
2
1
1
1
1
1
9
13
1
1
1
4
1
1
3
1
1
1
1
1
1
2
1
2
2
9
3
1
3897
1
1
1
1
3
1
1
3
3
3
1
7
1
1
3
3
1
1
1
1
2
1
3
1
3
1
1
2
2
3
1
1
1
3
1
3
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
9
26
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
12
1
1
3
1
1
1
1
3
2
1
54
1
8
2
1
1
1
1
3
2
2
1
3
2
1
1
1
1
3
3
1
3
7
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
13
1
2
1
263
3
1
1
1
1
1
1
7
1
3
5
1
2
1
3
1
1
1
1
1
2
1
7
3
3
3
3
1
1
3
1
1
1
3
2
3
3
1
1
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
5
2
2
1
1
1
1
2
1
3
3
1
1
5
3
1
3
3
1
9
1
1
1
1
1
16
11
5
1
1
1
1
3
1
1
1
1
3
3
1
11
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
7
1
4
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
3
1
1
7
3
3
7
2
1
2
3
1
1
1
3
1
3
1
1
1
3
5
1
3
1
3
3
2
1
1
3
1
33
1
3
1
1
1
1
1
1
1
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
3
5
1
1
2
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
3
1
3
7
1
1
1
1
3
7
1
2
1
5
1
2
1
9
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
7
1
1
1
1
2
3
2
1
1
1
19
1
1
1
1
2
1
3
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
4
3
1
1
1
1
1
1
3
1
3
1
3
3
1
1
2
1
1
1
1
1
1
3
1
2
2
1
2
1
1
3
1
3
1
11
1
1
3
3
1
1
5
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
3
2
1
1
1
1
1
2
3
1
1
4
2
1
1
2
1
1
1
1
1
1
3
5
1
1
1
4
1
1
2
1
1
1
1
1
2
7
2
2
3
3
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
4
1
1
1
1
3
4
1
1
1
1
31
1
1
1
3
1
3
1
1
1
1
3
1
23
1
1
1
3
1
1
3
1
3
1
1
3
1
1
4
1
1
1
3
1
1
3
5
1
3
1
1
3
1
1
2
2
4
1
1
3
1
3
1
3
1
1
1
1
1
1
5
2
2
3
3
1
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
3
1
1
1
11
3
1
3
1
3
1
1
1
1
3
1
1
3
1
1
1
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
7
1
1
1
2
3
1
1
1
3
1
1
2
1
1
1
1
2
9
2
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
6
1
1
5
1
2
1
1
1
3
1
1
5
1
2
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
3
1
6
1
1
3
1
3
1
1
19
7
5
11
3
1
1
1
3
4
1
1
3
1
1
3
3
1
9
8
2
1
1
1
1
3
1
1
2
1
3
1
3
3
3
2
3
1
2
2
1
5
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
6
1
1
1
4
1
1
1
1
1
2
1
1
4
1
3
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
2
2
1
1
1
1
3
9
3
3
1
3
3
1
3
1
1
2
3
2
21
3
1
1
1
2
3
10
1
1
3
1
1
4
1
3
2
3
59
15
1
1
1
2
2
2
3
2
1
1
1
1
1
1
1
1
1
1
5
5
3
1
1
2
1
1
1
1
1
2
1
2
5
1
1
4
7
1
1
5
1
2
1
1
1
2
1
1
1
1
1
1
1
1
241
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
3
1
1
1
3
3
1
1
1
1
1
1
1
2
2
1
1
4
1
1
1
1
1
1
7
1
2
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
3
2
1
2
5
1
5
1
3
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
3
1
1
1
23
1
2
15
1
1
3
2
3
1
1
1
1
3
3
1
2
2
2
5
3
1
39
3
1
1
1
1
3
1
3
3
1
1
1
2
4
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
3
3
3
15
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
9
2
1
3
2
1
1
1
1
1
1
2
5
3
1
1
12
1
1
3
3
1
1
3
1
1
1
1
1
1
1
2
5
1
3
11
1
1
3
1
3
1
3
7
4
1
1
1
1
1
7
2
5
1
3
1
1
1
1
1
1
33
3
1
1
5
5
1
3
1
1
3
2
2
1
1
3
1
2
1
1
3
49
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
2
3
3
3
1
1
1
3
2
1
2
3
1
1
5
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
3
2
1
1
2
1
1
1
1
3
2
3
2
1
1
1
2
1
3
1
3
1
1
6
1
1
1
1
1
1
1
1
2
2
1
3
2
2
4
1
1
1
1
3
3
3
1
1
1
1
1
1
2
2
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
3
1
5
1
3
1
2
1
1
1
3
1
3
1
1
2
2
1
1
3
7
1
1
3
1
1
1
2
1
1
15
1
1
1
1
1
3
1
2
1
1
1
1
3
1
1
3
1
1
5
2
2
3
3
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
2
6
1
1
1
1
3
1
1
1
1
1
5
1
1
2
3
1
1
1
5
3
1
2
1
1
1
1
3
3
1
2
1
1
3
1
1
1
17
3
1
1
3
3
1
1
1
1
1
7
1
1
5
6
1
1
1
1
9
1
1
1
3
1
1
1
1
1
1
2
4
1
3
1
1
1
1
1
1
2
1
3
1
1
1
45
1
113
1
1
1
1
1
5
2
7
3
2
1
3
1
1
3
1
1
2
3
1
3
3
1
5
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
87
1
7
1
31
1
1
1
1
3
1
1
1
2
1
3
3
3
1
1
1
3
1
1
3
1
1
2
5
1
15
5
1
2
1
3
1
1
1
1
3
1
1
3
1
3
2
3
1
1
1
9
1
3
3
5
1
1
2
1
1
1
2
7
4
1
3
1
2
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
12
2
1
1
3
1
4
1
1
1
1
2
1
1
1
3
1
1
3
2
1
5
1
1
4
5
2
3
1
1
1
3
3
13
3
1
1
1
3
1
1
2
2
2
1
3
1
1
2
3
1
1
1
2
1
1
3
1
3
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
7
1
1
1
1
2
1
1
1
4
1
1
3
1
1
1
1
29
1
5
1
3
120
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
41
1
1
4
1
1
5
4
1
1
2
1
1
14
1
2
1
3
1
3
3
1
1
29
3
23
5
1
1
1
1
1
1
5
2
1
1
14
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
3
49
1
2
2
1
1
2
3
4
5
3
1
1
2
2
27
1
1
3
5
1
1
3
1
2
1
15
5
1
1
19
7
1
2
1
2
1
1
1
1
1
1
2
3
3
3
1
1
1
2
1
1
1
1
1
1
3
3
3
3
1
1
1
1
1
1
1
1
13
1
2
5
1
1
1
3
1
1
1
2
1
1
2
1
10
1
1
7
3
3
1
1
1
1
1
3
1
4
5
3
1
1
1
1
1
3
1
2
1
2
1
1
3
1
3
1
3
1
2
3
3
3
2
1
5
4
3
1
3
1
2
1
1
1
7
2
3
1
1
1
1
5
1
1
1
1
3
5
1
1
1
1
1
3
1
1
1
3
1
3
3
1
1
3
1
1
1
3
2
1
2
21
1
6
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
3
1
1
1
6
6
3
1
1
1
3
1
2
3
1
1
3
1
1
3
1
2
1
27
1
3
2
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
7
3
1
9
1
1
1
3
1
1
3
1
3
2
4
1
11
15
1
1
3
1
3
4
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
3
2
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
8
1
1
3
3
1
1
1
1
1
1
1
1
7
3
4
1
2
1
1
3
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
5
1
2
1
1
2
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
3
1
2
3
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
3
1
3
1
1
1
2
2
2
1
3
1
5
1
1
1
4
1
1
2
3
1
1
1
1
1
1
1
3
1
1
5
1
2
1
1
1
3
1
3
1
5
1
1
3
1
1
1
7
1
1
1
5
1
1
1
1
1
3
1
1
1
19
1
6
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
3
4
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
24
1
1
5
1
1
1
1
5
2
2
1
3
10
1
1
1
5
1
1
3
1
2
13
2
1
3
1
1
2
1
1
1
1
1
1
19
1
1
3
13
3
1
3
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
2
2
3
1
1
1
3
1
1
1
1
1
2
1
1
2
1
2
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
5
1
1
3
1
3
3
1
7
2
2
3
1
1
1
3
1
1
1
8
7
1
2
1
1
1
3
1
1
3
1
3
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
1
5
1
1
3
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
6
11
1
2
1
1
1
1
3
2
3
1
1
143
3
1
1
3
1
3
1
3
1
3
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
3
5
3
3
3
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
3
9
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
3
1
4
1
3
1
1
1
1
1
1
1
1
2
1
1
1
7
5
5
3
1
1
1
1
1
1
1
3
9
3
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
5
1
3
1
2
1
1
2
1
1
1
25
1
2
11
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
2
1
7
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
3
1
1
3
1
19
1
1
1
3
1
1
1
3
1
1
1
49
1
1
1
15
1
1
1
1
1
5
3
1
7
1
1
1
5
1
1
1
1
1
1
15
1
1
1
2
2
1
1
2
24
1
2
2
5
1
5
3
1
1
21
1
1
1
1
1
4
3
3
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
3
3
3
1
1
1
1
7
1
1
4
7
1
1
1
4
2
3
1
1
1
3
1
3
1
4
6
1
1
3
18
2
1
1
1
1
3
1
1
2
1
1
3
1
1
5
1
5
1
1
1
1
1
3
4
1
1
3
3
2
5
1
1
1
1
1
1
4
5
3
1
1
2
1
1
4
1
1
1
2
2
1
1
3
1
1
1
3
3
2
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
11
7
1
1
1
1
1
1
3
1
1
1
1
11
1
1
1
2
1
1
2
3
3
1
1
3
3
1
3
3
3
3
1
1
1
3
5
1
3
1
5
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
3
1
144
1
1
1
1
80
1
4
1
1
3
1
1
2
3
1
1
1
1
7
1
11
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
9
2
2
1
1
1
1
1
1
1
1
4
1
1
2
1
3
1
2
1
1
3
1
2
2
1
17
1
5
1
1
3
1
1
1
1
37
1
3
2
11
1
1
1
3
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
17
1
5
1
1
3
1
5
17
1
1
2
27
3
3
3
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
5
1
5
1
1
1
5
6
3
1
4
1
1
1
3
1
2
2
7
1
1
1
1
3
1
1
2
4
1
1
1
1
1
3
1
1
3
1
1
2
1
1
3
1
1
1
1
9
3
1
8
1
1
1
1
1
1
9
1
1
1
1
1
3
3
1
1
3
3
3
2
1
3
1
3
1
1
1
1
1
1
2
2
3
1
1
1
3
1
1
1
1
1
1
27
1
3
1
1
3
3
1
1
1
3
4
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
11
1
1
1
1
3
1
1
6
2
1
3
1
3
1
3
1
1
5
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
38
53
3
3
1
2
1
1
1
1
1
3
1
3
2
1
3
27
1
5
1
1
3
1
1
1
4
3
3
4
1
1
3
1
1
2
1
3
1
3
1
199
1
1
3
1
1
1
7
1
8
1
1
19
1
5
3
3
1
1
1
1
1
1
1
3
2
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
2
1
3
4
3
3
1
1
1
1
1
5
4
1
3
1
3
1
1
1
1
2
1
3
1
1
1
61
3
3
9
1
1
1
1
2
1
3
3
3
2
1
1
2
3
3
7
1
1
1
1
1
1
1
8
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
2
7
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
2
1
3
1
1
5
3
1
1
1
2
1
1
1
4
1
3
1
9
1
2
1
1
2
3
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
4
1
1
3
1
1
2
1
2
1
3
3
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
2
1
59
1
1
1
1
1
1
3
3
50
3
1
1
1
1
1
1
1
1
1
2
3
1
1
5
1
3
1
2
1
1
1
2
1
1
19
3
1
1
1
5
2
3
3
1
1
1
1
1
1
1
3
1
3
2
85
1
9
1
1
1
3
1
6
1
2
7
1
94
3
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
3
1
1
1
1
1
1
2
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
11
1
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
13
3
9
1
1
1
1
1
1
1
3
1
1
5
1
3
3
5
3
1
1
5
2
1
1
1
1
7
3
1
3
1
3
3
3
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
7
1
2
1
1
5
1
1
1
2
5
1
1
2
1
1
1
2
3
3
1
1
1
2
1
2
2
1
1
1
1
5
1
3
3
1
1
2
1
1
1
1
1
3
1
3
1
1
1
1
3
2
1
1
1
19
54
3
1
1
2
1
1
1
2
1
1
1
5
2
1
1
1
2
1
1
1
3
1
3
1
2
1
1
1
1
2
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
9
1
1
4
3
1
2
1
1
3
3
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
3
1
1
1
4
1
1
1
1
5
7
1
1
4
1
1
3
1
1
1
1
4
1
1
1
1
1
6
2
3
3
1
1
3
2
3
3
3
1
1
1
2
9
5
3
3
1
1
1
1
5
1
7
1
1
1
3
1
3
1
1
2
1
3
1
2
1
1
1
1
7
1
1
1
1
1
3
1
1
1
1
2
19
2
2
2
1
1
1
1
1
1
1
2
1
1
3
1
2
1
3
1
7
1
1
1
1
2
1
1
1
1
1
2
3
3
1
1
1
1
2
3
1
2
11
1
1
3
1
1
7
3
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
4
1
2
3
3
3
1
1
1
1
1
1
6
1
2
1
1
1
2
1
2
7
2
5
2
1
1
5
3
2
2
1
1
1
1
1
1
1
1
1
1
17
2
7
1
5
1
3
3
3
1
2
3
1
1
2
1
1
11
2
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
2
1
1
3
1
1
1
23
1
1
1
3
1
2
1
1
7
1
1
1
5
1
1
1
1
1
1
1
3
7
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
26
1
1
1
2
1
3
1
1
2
1
1
1
1
1
2
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
3
1
3
1
3
1
2
1
1
1
1
4
1
7
3
1
2
1
1
2
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
11
1
1
1
1
11
1
1
1
3
3
3
1
2
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
3
1
3
1
2
3
1
2
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
3
1
1
1
20
3
3
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
4
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
3
1
2
1
1
2
5
1
2
3
1
1
1
7
1
1
2
2
1
1
3
1
1
1
1
7
2
1
2
1
1
3
1
1
1
1
3
3
1
1
3
1
1
1
2
3
1
1
1
1
3
1
3
9
1
11
2
1
1
2
1
1
1
1
1
1
1
2
1
9
1
1
2
1
1
3
2
5
1
1
3
17
3
5
1
1
3
1
2
3
1
1
1
3
1
2
1
5
1
1
1
5
1
1
2
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
2
1
1
1
27
3
3
1
1
1
3
1
1
1
1
3
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
3
7
1
2
4
1
1
1
1
1
1
1
1
4
1
49
1
3
1
3
1
1
1
1
1
5
1
3
1
1
4
1
1
1
3
2
1
1
3
1
1
3
1
5
3
3
2
1
1
3
7
1
1
1
3
4
11
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
2
3
19
1
1
1
1
2
3
3
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
5
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
29
1
3
7
1
3
2
3
1
3
1
1
1
1
3
1
1
4
1
1
1
1
3
1
1
1
1
1
3
3
1
2
6
1
1
1
3
1
4
1
4
1
3
1
1
1
3
1
6
2
3
3
1
1
1
7
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
5
4
1
1
3
1
1
1
1
3
1
1
1
5
97
1
1
2
1
1
1
15
1
1
1
1
4
1
1
1
1
1
3
1
1
1
3
1
1
2
3
1
3
1
3
1
1
1
1
1
3
1
1
1
1
6
3
2
3
2
1
1
1
1
1
1
2
2
1
1
3
2
1
1
1
1
2
1
1
3
1
1
1
3
1
2
6
1
3
7
1
2
1
1
1
2
3
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
19
1
1
3
1
1
1
2
1
1
1
2
1
1
1
1
3
2
1
1
1
3
1
3
5
3
1
1
1
2
3
1
1
1
1
2
2
1
1
1
3
2
1
3
1
1
1
3
1
1
1
1
1
1
1
3
3
3
1
3
1
1
1
1
1
1
5
1
1
3
3
1
3
1
1
1
1
1
3
1
3
1
3
3
3
1
2
1
1
1
1
3
1
1
1
1
1
1
1
7
1
3
3
3
1
1
1
3
1
3
1
1
3
11
3
1
1
1
3
1
5
5
1
2
3
11
1
3
1
1
1
1
1
1
1
3
3
1
3
3
3
3
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
4
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
4
1
1
5
3
1
1
3
1
2
1
2
1
1
1
3
2
1
2
1
1
1
1
2
1
1
1
1
4
1
1
3
4
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
1
1
3
1
1
3
3
3
1
3
3
6
1
3
2
1
1
1
2
1
1
3
1
3
1
1
7
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
7
2
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
3
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
2
1
1
5
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
7
2
1
2
1
1
1
1
3
1
5
2
3
1
1
1
1
1
1
1
5
2
1
1
1
1
3
1
1
2
1
1
1
1
2
1
3
2
1
1
1
1
1
9
2
1
1
1
1
1
1
3
1
1
1
3
5
1
1
1
6
3
8
2
1
1
3
1
1
1
1
2
1
1
1
1
2
1
1
17
3
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
3
1
3
3
1
1
1
1
1
1
9
1
3
3
1
1
1
7
1
1
7
3
1
1
3
3
1
1
1
3
1
2
1
1
3
1
2
1
3
1
1
2
5
7
1
2
5
1
2
1
1
1
11
5
1
3
3
2
2
1
5
1
2
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
1
3
1
2
1
1
7
3
7
1
1
3
1
1
3
1
1
1
1
1
5
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
9
2
1
1
9
3
2
3
1
1
1
3
1
1
2
1
1
1
1
1
2
3
1
3
1
1
2
1
1
1
2
1
3
1
1
9
1
1
2
3
2
1
1
2
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
11
4
1
1
1
1
1
45
1
1
1
1
2
1
1
4
1
1
3
3
3
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
3
1
1
1
3
1
1
1
3
2
1
3
1
1
1
1
1
20
1
3
2
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
143
1
1
3
1
3
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
3
3
1
1
1
2
3
1
1
1
3
2
1
1
1
1
1
1
9
2
1
1
1
1
2
1
1
3
1
1
7
3
5
3
1
1
1
1
3
1
1
1
3
1
1
2
2
1
1
1
1
1
3
3
1
7
1
2
3
1
1
3
10
1
1
1
1
2
1
1
1
3
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
4
1
1
3
3
1
1
1
1
2
2
1
1
1
1
1
4
7
15
5
1
1
2
1
1
1
1
1
1
1
1
1
4
5
1
1
1
3
2
1
1
1
4
16
22
1
9
1
3
1
1
3
1
1
5
1
1
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
19
1
1
1
2
1
1
3
1
2
1
2
1
1
1
5
1
1
9
1
1
1
1
1
1
3
1
3
1
2
3
3
1
3
1
1
3
1
1
2
1
1
3
1
1
2
1
1
1
5
13
1
1
1
1
1
1
1
3
5
1
1
2
1
1
3
3
1
1
1
3
1
5
3
11
4
2
1
1
1
3
1
3
1
2
3
1
9
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
2
3
1
1
1
1
137
1
2
1
1
2
1
5
1
1
1
1
1
5
1
1
1
1
21
1
1
1
1
6
1
1
2
3
1
1
1
3
1
1
3
1
3
5
1
1
1
1
1
3
1
3
1
1
20
1
1
1
1
1
73
3
3
1
1
3
3
3
1
3
1
1
5
1
3
1
1
1
1
29
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
3
1
2
4
1
2
4
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
2
2
1
1
1
2
1
5
3
1
1
1
9
4
1
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
8
1
3
1
1
3
5
1
2
1
2
3
1
3
3
3
1
1
3
5
1
1
1
1
2
5
3
5
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
3
3
3
13
1
1
1
3
57
2
5
4
3
2
2
1
137
1
1
1
1
1
1
3
1
1
5
3
2
1
2
11
1
1
1
4
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
5
1
2
3
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
1
7
2
2
1
9
4
4
1
1
1
5
2
3
2
1
1
1
1
1
1
5
1
1
3
1
1
5
1
2
3
4
1
1
1
1
3
1
1
1
1
2
3
3
1
1
7
3
1
1
7
2
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
2
1
7
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
1
5
1
1
1
1
1
5
1
1
7
3
1
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
5
1
1
1
1
1
1
1
1
1
1
3
5
3
1
1
3
1
3
1
1
3
3
1
1
1
1
3
3
2
1
1
3
3
1
2
1
1
2
1
2
1
1
2
1
1
1
1
6
1
3
1
3
1
4
3
1
9
14
1
2
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
3
2
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
3
3
1
5
11
1
1
3
1
2
1
1
2
3
1
1
9
1
1
3
18
19
1
1
1
1
1
5
1
1
1
1
1
1
1
231
1
2
1
2
1
3
2
3
1
1
2
3
1
3
1
1
1
1
3
2
3
3
1
1
1
1
1
3
1
3
1
1
4
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
7
1
3
3
1
1
2
1
1
3
3
1
1
3
1
1
9
1
1
1
1
1
2
1
3
3
1
1
1
3
3
1
2
1
1
1
1
1
3
2
1
1
1
1
1
2
1
4
1
1
2
1
1
3
1
1
4
1
2
1
5
1
1
1
1
2
1
2
2
1
3
1
1
3
3
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
2
3
3
1
1
1
1
3
1
1
1
3
1
3
4
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
5
1
1
1
1
1
1
3
1
1
1
1
12
1
5
1
1
1
3
1
1
1
1
2
3
1
1
2
1
3
1
1
6
1
1
1
2
1
1
1
3
3
1
5
1
1
1
1
1
2
1
1
3
1
1
1
1
1
3
5
1
2
1
1
3
2
5
2
3
1
1
1
1
1
1
2
3
1
1
1
1
1
3
1
3
1
1
2
2
1
1
1
2
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
17
1
1
1
1
1
3
1
1
1
3
1
2
3
1
3
1
1
3
3
1
1
1
3
1
1
1
1
2
3
1
1
3
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
9
5
3
2
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
18
1
3
1
3
1
2
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
2
1
3
3
2
1
2
1
2
3
7
1
1
1
2
1
1
1
1
1
3
1
1
4
1
1
2
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
5
1
3
1
1
1
3
1
1
1
2
1
5
1
3
1
1
1
1
1
1
1
7
2
3
1
1
2
2
3
1
1
3
3
3
1
1
1
1
1
2
3
1
3
7
15
2
3
2
1
71
1
3
1
3
3
1
1
2
1
3
1
1
2
1
21
1
1
3
5
1
1
1
1
3
1
1
2
3
1
1
3
2
1
1
1
4
1
1
3
2
2
1
2
1
1
3
1
1
1
3
1
1
1
2
1
1
2
2
1
1
3
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
9
1
5
3
1
1
1
2
1
1
3
1
1
3
3
3
2
1
1
2
3
1
1
2
1
1
1
1
1
1
5
11
1
1
3
3
2
3
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
53
2
3
3
3
1
3
33
57
1
1
1
3
1
1
1
1
1
1
1
2
2
3
3
1
1
3
2
3
9
1
3
3
1
1
1
1
1
191
1
3
1
1
1
11
1
2
1
9
3
3
1
3
3
1
1
2
1
1
2
1
3
2
1
1
1
1
1
1
2
1
1
3
1
3
1
3
1
3
3
1
1
3
1
20
3
3
1
3
5
3
1
1
1
3
1
3
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
5
1
3
2
3
1
1
1
1
1
1
3
1
3
2
2
1
2
1
1
2
1
1
2
1
1
1
3
1
3
1
1
2
1
1
2
3
1
1
1
1
1
1
3
3
1
1
1
3
1
6
1
4
1
1
1
1
3
1
3
1
1
1
2
1
2
1
1
3
3
3
1
2
1
1
2
1
1
1
3
3
1
1
3
2
1
2
3
3
2
7
1
1
3
1
1
3
1
4
4
3
1
3
1
1
1
1
3
5
1
1
3
1
1
5
3
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
2
3
1
1
1
3
3
3
3
1
1
3
1
1
2
1
1
1
61
1
5
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
11
1
1
1
2
1
1
1
1
1
1
1
1
3
2
3
22
2
1
1
2
3
1
1
1
15
2
2
3
2
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
4
1
3
1
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
4
1
1
1
7
1
7
1
1
2
1
3
3
3
1
1
1
3
13
1
1
1
8
7
14
3
1
1
1
3
1
9
2
1
1
1
1
3
1
3
1
5
1
1
1
5
4
5
1
2
1
1
4
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
19
1
1
1
1
3
3
7
3
1
1
1
1
1
2
1
2
1
2
3
1
1
2
2
1
1
1
1
1
1
11
1
1
1
1
11
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
3
1
1
1
3
1
3
3
1
1
515
1
3
1
1
1
1
1
1
4
1
1
1
4
1
1
1
2
3
1
1
3
1
5
1
31
3
21
3
1
1
1
1
1
5
1
1
1
2
1
1
5
3
2
1
1
2
2
3
1
3
1
1
1
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
3
3
1
3
6
1
5
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
3
1
2
2
2
1
1
4
1
1
2
1
1
4
1
2
1
1
1
2
1
3
1
1
1
1
6
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
3
1
3
1
1
68
1
1
3
3
1
2
2
1
3
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
2
1
2
1
1
7
1
1
5
2
2
1
1
1
1
1
2
2
1
3
1
1
2
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
26
1
7
3
1
1
1
3
1
1
1
1
2
2
5
1
1
1
2
1
1
3
1
2
3
3
3
1
1
3
1
1
2
3
1
1
1
1
2
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
2
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
5
1
1
1
2
1
1
1
1
3
1
1
2
3
1
2
1
3
2
6
1
1
1
4
1
3
1
1
1
3
1
1
3
1
73
3
1
1
1
3
1
2
1
1
5
1
1
1
1
1
1
3
1
1
1
155
1
1
2
1
1
1
1
3
1
3
1
1
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
2
3
1
1
3
1
1
7
1
2
1
9
3
1
5
1
3
1
1
11
1
9
1
3
3
1
2
1
1
1
16
25
1
1
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
3
15
1
1
1
1
10
31
1
5
1
1
2
3
3
7
1
4
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
4
5
3
2
1
3
1
1
1
1
3
1
1
1
21
3
1
3
1
1
1
3
3
5
1
3
1
3
1
1
3
2
1
1
1
3
1
3
3
1
1
2
3
1
5
1
4
3
1
1
1
1
1
15
1
1
2
1
1
1
3
2
5
1
6
1
3
2
1
2
3
1
1
1
1
1
2
3
1
9
1
1
3
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
5
3
3
113
1
1
21
1
3
2
1
1
1
1
1
1
1
1
1
3
3
1
1
3
3
3
2
3
3
1
1
3
3
1
1
1
5
1
1
1
1
1
1
1
4
5
1
1
1
1
2
1
1
3
2
1
1
1
2
1
193
5
3
2
1
1
3
1
1
4
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
7
13
2
2
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
7
3
3
1
3
5
1
1
1
1
9
1
1
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
4
1
3
1
1
2
5
3
1
1
5
2
1
1
1
1
3
1
1
1
3
1
1
5
1
1
18
4
1
1
3
1
4
1
4
1
1
1
1
2
1
1
1
2
2
1
2
4
1
12
1
1
1
1
1
1
12
5
2
1
6
5
1
1
1
1
1
1
1
9
1
1
3
3
1
1
3
3
1
5
9
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
8
2
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
3
3
1
7
1009
1
4
1
1
4
1
1
3
1
3
1
3
1
1
4
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
4
1
3
1
1
1
3
2
1
7
1
1
2
1
1
1
3
1
1
1
1
3
1
1
3
3
3
1
3
1
1
4
3
3
1
1
10
1
1
15
1
1
1
5
1
1
1
7
1
3
1
1
1
1
2
1
3
1
1
1
2
3
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
11
1
1
1
6
1
1
1
3
1
1
1
3
1
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
2
1
3
1
3
1
1
1
1
1
1
1
2
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
9
7
1
1
1
1
1
1
1
9
4
7
1
2
1
1
2
1
3
3
1
1
38
3
1
3
1
411
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
20
1
1
3
3
1
1
1
4
1
4
3
1
1
1
3
8
1
3
3
3
1
1
3
2
2
1
3
1
1
1
1
1
1
1
1
3
1
3
9
1
1
1
1
2
1
1
3
1
3
3
1
1
2
1
1
1
3
4
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
3
3
1
1
2
1
1
3
3
1
1
3
4
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
3
2
1
3
1
3
1
1
1
2
3
1
3
1
4
1
3
1
1
7
5
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
3
2
3
1
1
1
3
1
3
1
2
5
5
1
3
3
1
3
3
11
1
1
1
1
7
1
1
3
1
1
4
1
1
1
1
1
1
3
2
3
2
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
2
1
1
1
7
3
1
1
3
1
1
1
1
1
4
3
5
1
3
1
3
1
1
7
5
1
1
2
1
3
1
1
1
1
1
3
1
8
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
3
2
3
15
3
1
3
1
1
1
1
1
3
3
28
3
1
1
1
3
1
5
1
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
3
11
1
1
1
1
1
3
1
3
1
2
1
5
1
1
7
1
1
2
1
1
5
1
1
4
23
1
3
3
1
1
1
1
5
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
1
5
1
1
1
1
1
2
3
1
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
11
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
26
1
9
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
5
2
1
1
1
3
2
7
3
2
1
12
2
3
1
3
3
1
3
3
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
3
1
3
1
1
2
1
1
1
3
4
3
1
2
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
4
3
1
1
3
1
1
2
1
1
1
3
3
1
2
1
1
1
1
1
1
1
35
1
1
38
3
2
1
1
3
1
2
1
1
1
1
1
3
1
3
3
1
1
1
1
1
3
1
1
3
1
1
1
4
5
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
2
1
2
1
1
1
3
5
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
3
1
1
3
3
2
1
3
1
1
4
1
1
3
5
1
3
5
3
2
5
1
1
1
1
1
1
1
3
1
1
4
4
1
1
1
1
1
3
3
1
1
4
13
3
3
2
1
9
1
3
1
5
1
2
1
1
1
1
1
1
1
1
1
1
5
1
3
3
2
1
1
1
1
1
1
1
2
4
1
1
1
3
1
1
1
1
2
1
5
1
1
2
2
1
1
2
3
1
1
2
1
1
1
1
5
1
2
1
3
3
3
1
3
1
3
1
3
8
1
2
1
1
2
3
1
1
1
15
4
2
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
15
3
3
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
11
1
1
2
1
2
7
1
3
1
3
3
1
1
5
1
13
1
3
1
1
1
3
1
1
1
1
4
1
1
2
3
3
1
1
2
1
1
1
3
3
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
6
1
1
1
1
1
3
1
1
1
47
3
2
1
2
1
3
7
5
1
17
1
2
1
1
1
3
1
7
1
1
2
1
1
1
6
1
1
3
1
1
1
2
3
1
1
1
1
3
1
1
7
1
3
1
1
1
3
11
4
1
1
1
1
13
4
1
1
3
2
1
1
2
3
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
2
3
7
1
1
7
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
11
3
1
2
1
3
3
1
2
1
2
1
1
3
1
3
3
1
1
1
3
1
1
1
36
1
1
1
15
2
1
3
1
1
1
2
3
1
3
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
10
3
1
3
1
2
1
2
9
1
3
3
1
2
1
1
1
1
3
1
1
1
1
3
1
3
4
1
4
1
7
2
1
1
1
1
2
2
2
1
1
1
1
1
1
15
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
4
1
1
1
1
9
1
1
3
1
1
1
1
2
1
3
1
1
1
37
1
3
1
1
1
1
1
1
1
2
1
1
1
5
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
4
4
1
5
1
2
26
1
2
1
1
3
1
1
1
1
1
4
3
1
1
1
1
3
3
3
1
1
1
2
1
3
2
1
1
1
3
3
1
1
1
5
1
1
3
1
1
1
1
1
4
3
1
3
1
1
3
5
12
1
1
13
1
3
1
3
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
38
1
11
3
1
1
1
1
1
1
9
3
1
2
4
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
4
1
3
3
3
3
5
1
1
18
1
1
1
1
1
2
1
1
10
1
1
1
3
1
5
1
1
1
1
1
1
1
3
3
3
1
1
1
2
1
2
1
2
3
1
3
1
1
4
1
1
1
1
1
7
1
2
3
1
3
1
1
1
3
2
1
2
13
3
25
6
1
3
1
2
1
3
3
1
2
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
3
5
1
1
1
3
5
1
1
1
1
1
1
5
3
2
3
5
3
1
3
1
1
3
1
9
1
2
1
1
3
1
1
1
1
1
1
4
1
3
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
3
3
1
1
1
11
3
1
1
1
1
1
1
3
5
4
3
2
1
1
1
1
1
6
1
1
1
3
1
1
13
1
1
1
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
3
13
1
5
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
3
6
9
1
3
3
3
5
1
5
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
5
1
3
1
1
1
1
1
1
1
1
3
3
2
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
6
3
2
5
1
1
1
3
3
1
2
3
1
1
1
19
1
1
3
1
1
1
3
1
1
1
3
4
5
360
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
2
3
3
3
1
1
3
1
1
1
3
4
1
2
1
1
2
1
3
1
1
1
1
1
1
1
3
3
1
1
37
1
1
1
1
1
1
2
3
1
1
21
1
12
1
1
1
3
1
1
1
1
1
1
3
3
2
1
1
4
1
1
1
1
3
1
1
1
1
3
3
1
1
1
37
4
1
1
4
1
4
5
3
7
1
10
1
1
3
2
1
1
3
5
1
1
1
3
2
1
1
2
1
1
2
1
1
1
8
1
1
3
1
1
3
1
3
1
1
1
1
2
1
3
1
1
2
1
3
35
1
1
1
3
1
1
1
5
3
1
74
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
1
2
6
1
1
3
1
185
1
3
3
3
1
1
1
1
2
5
3
3
3
1
1
2
1
1
1
8
1
11
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
7
1
1
1
1
3
1
1
1
2
1
5
1
1
2
1
13
1
1
2
3
2
5
1
1
1
4
1
3
1
1
1
3
1
1
7
5
1
2
1
1
1
1
1
1
3
3
1
1
2
1
1
3
1
2
1
3
2
8
1
3
1
5
2
1
1
1
1
4
1
1
1
1
1
1
3
1
1
2
3
3
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
2
1
2
1
1
3
3
3
1
2
1
1
2
1
1
1
1
2
1
1
3
1
3
3
1
4
1
1
2
9
1
3
1
7
1
3
1
1
2
3
1
1
5
1
1
1
1
1
2
3
1
2
1
1
7
1
1
2
1
1
1
1
1
2
1
1
1
1
2
3
2
2
1
1
1
1
1
1
7
1
1
2
1
3
5
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
2
3
5
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
3
1
90
1
2
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
3
2
1
9
1
1
1
2
3
1
1
1
1
1
3
1
1
1
7
1
2
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
4
1
1
4
2
1
3
6
1
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
2
1
1
2
1
3
2
3
1
17
3
3
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
1
3
2
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
15
1
3
1
4
1
3
1
1
3
1
1
1
2
4
1
1
2
1
1
3
1
2
1
1
1
2
1
1
1
3
1
1
3
2
2
1
1
1
3
1
5
1
1
9
145
1
1
3
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
37
3
3
4
2
1
1
2
1
1
448
3
1
1
3
1
1
7
9
7
2
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
43
2
3
3
1
5
3
1
2
1
3
3
1
2
3
1
2
1
3
1
1
1
3
1
1
29
1
3
1
1
1
1
5
2
2
1
1
1
2
1
2
1
1
31
1
1
2
2
1
1
1
1
1
1
1
5
2
1
3
1
1
1
1
1
1
1
5
1
1
3
3
1
1
3
3
1
1
1
1
1
1
1
3
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
2
1
3
1
1
3
31
1
1
1
1
1
1
5
2
1
1
1
3
1
9
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
3
1
3
1
1
1
1
1
3
2
1
10
3
1
1
1
1
1
1
1
3
3
1
2
3
1
2
2
1
1
3
1
13
2
1
2
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
3
3
1
3
1
1
1
1
1
1
3
3
2
1
1
1
1
3
1
3
3
1
1
1
1
1
3
3
1
3
4
3
1
3
1
1
1
1
1
1
1
1
2
1
1
2
3
2
1
1
1
1
1
1
1
1
7
1
2
1
3
3
1
1
1
1
1
5
5
1
17
1
1
1
5
1
1
1
3
3
3
1
1
1
1
6
2
3
1
5
1
1
1
7
3
1
17
1
1
2
2
3
1
1
1
1
1
3
3
3
1
1
1
1
1
3
2
2
9
1
3
3
1
1
3
9
3
1
3
1
1
3
1
1
9
1
1
1
3
2
1
1
1
1
1
1
1
1
2
3
1
1
1
5
1
3
1
1
1
3
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
2
1
3
1
3
2
1
4
1
3
3
3
8
1
2
2
13
1
2
1
1
1
1
1
1
3
3
3
2
7
2
1
3
3
3
1
1
2
9
3
7
1
1
1
1
27
1
2
1
1
2
1
87
19
1
1
3
3
1
1
13
4
1
3
1
1
1
17
1
1
14
2
3
3
1
1
1
2
1
3
1
1
2
1
1
3
1
1
1
3
1
2
2
1
1
1
1
1
1
4
1
1
1
1
1
2
1
2
1
1
1
1
17
2
1
1
1
1
1
5
1
1
1
22
1
1
1
1
1
3
1
3
1
1
1
5
1
1
3
1
3
1
1
1
3
1
7
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
5
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
3
3
3
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
2
1
3
1
3
3
1
12
3
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
3
3
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
9
3
1
1
1
5
1
1
3
1
1
3
1
2
4
3
2
1
1
1
1
1
1
1
3
1
2
2
2
1
1
1
1
3
1
1
1
2
3
1
1
1
1
3
9
1
1
3
3
1
1
1
1
1
3
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
87
1
3
1
5
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
3
3
1
3
1
1
1
3
1
3
1
1
3
9
1
29
1
1
1
1
3
2
2
2
1
3
2
1
1
1
1
1
1
1
2
3
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
3
1
1
3
1
3
1
1
3
2
1
1
2
1
1
2
1
2
5
3
1
1
1
1
1
11
3
1
3
1
1
1
1
1
1
1
1
3
23
1
1
1
1
1
1
1
1
1
3
3
2
3
1
1
3
1
2
1
3
3
1
2
3
1
2
1
1
1
2
1
1
1
1
2
3
2
1
1
7
1
2
6
1
1
1
3
3
1
1
1
1
1
5
5
1
2
1
3
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
41
1
1
4
1
2
7
2
3
1
2
1
1
1
1
2
1
2
6
1
1
1
1
1
3
5
1
1
2
1
1
3
7
1
1
1
3
5
2
1
1
1
1
1
4
3
3
1
1
1
3
10
1
6
4
1
3
3
1
4
1
3
1
1
1
1
9
1
1
5
1
1
1
1
1
1
1
2
5
1
1
1
3
1
2
1
1
1
1
5
3
2
3
1
1
1
1
1
1
1
1
2
2
2
3
1
1
1
1
3
1
3
5
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
1
5
1
1
1
5
1
3
1
1
1
2
2
3
351
1
1
1
1
1
4
1
3
3
10
1
1
20
1
1
3
1
11
1
5
1
1
1
1
3
2
1
3
7
1
2
1
1
1
1
1
5
3
3
1
1
1
1
2
3
3
1
1
1
2
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
22
1
1
5
1
1
1
1
1
1
2
3
1
3
2
1
3
1
1
3
1
1
1
1
3
3
1
10
6
1
1
1
1
1
2
1
7
3
1
1
1
1
1
1
1
7
9
5
1
3
1
1
3
2
2
1
2
2
1
3
1
1
1
3
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
8
3
1
1
1
188
2
2
1
1
1
1
1
5
1
1
1
1
1
1
5
1
3
1
1
1
1
1
2
1
1
1
17
2
1
1
2
5
1
1
1
1
1
3
1
11
1
3
1
1
3
2
1
1
1
3
3
2
3
1
1
1
1
2
2
1
3
2
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
6
3
1
1
2
3
1
1
7
1
1
2
1
2
1
5
3
1
1
2
1
1
1
1
1
1
1
8
1
1
1
1
5
1
2
1
3
1
2
1
2
3
5
3
1
1
2
1
1
2
1
3
1
2
1
1
1
5
1
1
3
6
1
3
1
3
2
1
1
8
5
3
3
3
1
2
1
4
4
25
1
1
2
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
2
1
11
1
3
1
3
1
1
1
3
1
2
1
3
2
1
1
1
1
8
2
3
1
3
1
1
1
1
1
3
1
1
3
1
1
3
1
12
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
3
3
9
1
1
1
1
1
3
1
2
1
1
1
2
4
1
1
1
5
3
1
3
1
1
1
1
1
1
7
1
1
3
5
1
3
3
1
1
1
1
3
1
5
3
2
1
1
1
1
29
1
2
7
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
17
3
1
3
1
1
1
1
2
1
3
1
2
1
9
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
6
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
3
1
1
1
3
3
3
1
3
1
1
1
2
1
1
1
1
3
2
2
3
1
1
1
3
1
3
7
1
1
1
1
1
1
1
3
5
1
1
3
3
1
3
1
1
2
1
1
2
4
1
1
3
1
2
1
1
1
15
1
1
2
3
5
1
2
7
1
1
1
1
1
5
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
49
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
11
1
1
36
1
3
1
1
1
1
1
1
3
2
1
1
4
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
17
3
1
1
1
1
3
2
3
3
3
1
1
1
1
1
1
3
1
2
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
3
11
5
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
8
2
1
3
1
1
7
2
3
1
2
10
1
3
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
151
1
1
1
1
1
1
1
3
1
1
1
1
3
2
1
3
1
1
1
2
3
3
1
1
1
3
1
1
7
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
15
1
3
1
1
1
1
5
1
1
11
1
5
1
1
1
1
1
1
5
50
1
1
7
2
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
138
1
2
1
1
3
1
1
1
1
3
4
1
5
2
1
1
13
6
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
2
1
1
4
1
1
3
3
1
1
1
3
1
100
1
1
1
1
19
3
1
1
1
1
1
3
3
4
1
2
3
1
1
3
1
2
3
3
1
21
1
1
3
1
4
1
2
1
1
1
3
1
1
1
1
3
1
1
2
3
1
7
1
2
3
1
3
1
1
1
1
1
1
1
1
1
2
2
3
1
1
17
1
1
1
2
1
3
1
2
3
1
1
1
1
1
1
1
1
3
1
2
1
3
19
15
1
1
1
7
3
2
1
1
1
1
1
1
4
3
1
1
2
3
1
1
1
3
3
1
1
1
1
3
1
3
1
6
1
1
1
1
2
1
1
1
1
3
1
3
1
1
87
1
1
1
1
2
1
1
1
1
1
1
1
2
1
11
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
1
2
3
1
1
2
1
1
1
2
1
1
2
3
1
1
1
1
2
1
1
3
3
1
1
2
1
3
1
5
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
5
1
3
1
1
1
2
1
3
1
1
1
3
1
2
2
5
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
2
3
1
2
1
1
3
1
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
5
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
3
5
1
1
5
3
1
2
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
1
7
1
3
1043
1
2
1
1
1
1
1
1
2
1
3
3
3
4
1
1
8
3
1
3
1
2
1
1
1
1
3
1
1
1
1
1
3
4
1
1
1
1
3
2
1
2
1
1
1
3
1
1
1
2
2
1
4
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
4
1
1
1
3
2
3
11
1
3
1
1
1
1
1
1
1
3
1
1
3
2
1
3
5
3
5
1
3
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
8
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
1
3
1
1
1
5
1
8
3
3
1
1
1
2
3
2
1
1
1
1
1
3
1
7
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
3
2
1
1
2
3
1
3
3
15
1
1
11
1
1
3
1
2
1
6
1
1
1
1
1
4
3
1
1
2
1
3
1
1
59
1
3
1
1
2
1
1
5
17
1
3
1
1
1
5
1
1
1
1
2
1
1
4
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
6
1
1
1
1
3
1
3
1
18
15
1
1
1
1
2
1
1
3
4
2
1
3
1
1
1
1
1
3
2
1
5
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
3
1
1
1
1
1
2
3
3
3
15
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
3
1
3
1
1
1
3
2
1
1
1
1
1
2
1
1
10
3
1
7
13
3
1
1
1
1
1
1
5
3
3
1
1
1
3
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
9
5
3
1
3
1
1
3
1
3
1
1
1
1
1
3
1
1
3
960
1
3
1
1
4
3
1
1
1
3
1
1
4
3
1
1
5
3
1
1
1
1
1
5
1
3
1
10
1
1
3
7
1
3
1
3
3
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
2
3
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
4
1
1
3
1
1
2
1
3
1
1
1
2
5
1
3
1
5
1
1
1
5
5
1
13
1
1
1
1
3
2
4
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
5
2
7
2
2
1
1
3
1
1
3
1
35
3
1
1
1
1
1
1
3
3
13
1
1
1
1
1
1
1
1
3
1
3
2
3
1
1
1
1
1
1
1
2
1
1
1
3
3
3
1
3
1
1
1
3
1
1
1
2
1
2
3
1
3
1
1
1
3
13
5
3
1
3
3
1
3
7
1
1
2
1
2
1
1
1
1
1
3
1
1
1
2
1
2
4
1
1
1
1
1
5
3
1
1
1
1
2
1
2
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
12
3
1
1
1
1
9
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
11
1
3
1
3
1
1
2
1
2
6
1
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
3
3
9
5
1
4
1
5
3
1
1
2
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
3
1
57
1
1
17
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
15
1
3
1
1
1
1
3
1
1
1
21
1
2
1
1
3
3
5
1
1
1
2
1
1
1
1
1
5
3
1
1
1
1
1
3
1
1
1
3
1
3
1
3
2
1
1
2
2
1
1
2
1
1
1
1
9
1
2
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
5
1
1
2
2
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
7
1
1
2
1
5
1
1
1
9
2
1
1
1
6
1
1
1
1
3
1
3
1
3
1
1
1
2
1
1
2
1
1
1
2
1
1
3
3
1
1
1
2
1
1
2
1
1
1
1
2
1
3
3
1
1
1
3
3
2
1
1
2
1
3
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
5
1
1
2
3
1
7
1
1
1
1
1
1
9
1
5
1
5
3
1
1
2
4
1
2
1
1
1
1
3
2
1
1
1
1
7
1
2
3
2
1
2
3
125
3
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
3
2
1
2
2
3
1
1
1
1
2
1
1
5
1
5
1
3
1
1
9
1
1
1
5
1
1
3
3
3
1
1
1
1
53
1
1
1
1
1
3
1
3
1
1
2
1
1
3
1
1
1
1
2
2
3
1
1
1
1
2
2
1
1
3
1
1
5
1
1
3
1
1
3
1
3
1
1
11
1
1
3
1
1
1
1
1
1
1
3
7
3
3
1
1
1
1
5
4
1
3
1
1
3
4
1
2
5
1
1
3
1
1
2
2
1
1
3
2
1
1
1
5
1
1
3
3
1
3
1
1
1
1
1
1
2
1
3
3
3
1
1
1
1
3
5
3
5
1
1
3
3
2
3
1
1
33
1
1
1
1
1
3
1
1
1
3
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
4
2
3
1
2
1
3
2
1
1
1
3
1
1
2
3
1
4
3
3
1
1
1
1
3
1
1
1
13
9
3
1
2
1
2
1
1
2
1
1
1
2
3
1
3
1
1
3
3
1
1
1
3
1
1
1
1
1
1
2
1
2
1
3
2
1
1
2
1
1
1
3
1
1
3
1
1
2
2
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
5
1
1
14
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
5
2
1
5
1
1
1
1
1
2
1
1
1
1
1
3
23
2
1
1
1
3
3
1
1
1
1
2
2
1
1
1
3
1
3
3
3
1
1
5
3
3
1
1
1
3
3
1
1
2
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
16
2
1
3
5
3
4
3
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
5
1
1
1
1
1
11
1
1
3
1
1
1
1
3
2
2
1
1
1
1
3
1
1
1
1
1
1
2
3
2
1
1
1
1
3
1
3
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
2
1
3
14
3
1
1
3
1
1
3
3
1
1
3
3
3
1
5
1
1
2
3
1
1
1
6
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
2
2
1
3
5
1
2
1
2
5
1
1
1
1
7
1
1
1
1
19
1
1
1
1
3
5
1
6
87
1
1
1
3
1
3
3
1
3
2
1
1
1
1
1
1
3
3
1
1
155
1
1
1
2
1
1
5
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
7
1
7
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
2
5
1
1
1
1
5
3
1
5
1
3
3
2
3
1
17
1
2
1
3
3
2
1
1
1
1
1
2
1
1
3
1
3
2
1
1
1
3
1
3
1
3
1
1
4
1
3
1
2
9
3
1
2
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
2
3
1
3
1
3
2
1
1
1
2
1
1
1
1
3
1
1
5
9
3
1
1
1
1
1
1
3
1
1
3
2
2
1
1
3
3
1
3
1
1
1
3
1
11
2
1
1
1
3
1
1
3
1
2
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
11
1
1
1
3
1
2
3
1
1
1
37
1
1
3
1
1
5
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
3
1
3
1
1
3
2
3
1
1
9
3
1
1
1
1
1
1
1
1
2
1
1
2
1
32
9
1
1
1
1
2
2
1
1
1
3
1
1
1
5
2
1
2
1
1
2
1
7
1
1
1
1
1
1
1
2
2
2
3
1
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
3
1
1
2
1
4
3
1
1
7
1
1
3
1
1
4
3
1
1
1
4
3
1
2
1
1
1
1
3
1
27
1
1
1
1
1
3
1
1
2
3
3
1
1
1
1
13
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
3
1
3
1
3
3
2
3
1
3
1
3
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
1
1
1
1
2
3
1
1
1
1
1
1
1
14
1
1
2
2
1
1
1
1
7
1
1
2
2
13
1
1
1
1
1
3
1
3
3
1
7
1
1
2
3
3
1
1
5
1
1
1
1
4
1
3
1
3
1
2
5
1
3
1
1
1
1
7
1
2
1
13
1
2
3
1
1
2
3
2
1
1
2
5
4
2
1
1
3
1
49
1
1
1
4
2
2
1
1
1
3
2
3
2
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
5
1
1
1
1
1
1
5
1
2
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
4
1
3
3
1
1
1
1
1
5
1
1
1
1
3
3
1
5
1
3
3
1
1
1
3
3
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
5
1
3
1
3
2
1
1
1
3
1
1
4
1
669
1
1
1
1
1
2
1
3
3
2
1
1
4
2
1
1
2
1
1
1
2
1
9
1
1
1
3
1
1
1
1
3
2
1
1
1
2
1
3
1
2
1
3
3
5
1
3
1
3
1
3
1
3
3
1
1
3
1
1
1
1
3
1
1
3
1
1
4
1
3
1
1
1
1
1
1
1
1
7
2
2
2
1
1
1
1
1
3
3
1
3
2
1
1
1
3
12
1
1
1
5
2
1
1
5
1
1
3
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
2
1
3
5
1
1
1
1
1
2
1
1
3
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
1
1
1
1
3
3
1
1
8
1
2
16
9
1
2
3
3
1
3
1
1
1
1
5
1
1
1
3
3
1
3
1
1
2
3
1
1
2
8
1
1
1
29
5
3
2
1
1
3
5
2
3
1
3
1
3
1
2
2
2
3
1
1
1
1
9
1
1
1
2
1
2
2
19
1
2
1
1
1
1
1
3
1
1
4
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
3
1
9
1
1
3
1
1
3
2
1
5
1
3
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
3
5
1
1
2
2
3
1
1
1
1
2
1
1
1
1
1
1
171
1
3
1
3
2
1
1
1
21
1
1
3
1
1
1
1
1
2
1
2
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
143
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
3
2
1
1
2
1
1
1
1
2
3
1
2
1
3
1
1
3
1
1
1
2
3
1
1
1
3
3
1
1
7
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
7
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
3
1
3
1
3
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
5
2
3
1
1
1
3
1
1
1
1
1
1
3
1
11
1
1
2
19
1
1
2
1
9
3
2
1
1
1
1
1
1
5
2
1
3
1
1
1
1
1
1
1
1
12
1
1
1
3
1
1
4
2
1
2
3
1
1
1
1
1
1
1
3
1
5
1
1
1
3
5
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
5
2
6
3
1
1
1
2
1
1
1
1
2
5
2
1
1
4
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
3
2
1
2
3
1
3
1
7
1
1
1
3
5
1
2
3
2
1
1
1
1
1
1
1
3
1
1
1
3
3
5
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
2
1
1
29
3
1
1
3
3
1
1
2
3
1
3
1
1
11
1
1
1
4
1
1
3
1
3
3
1
5
2
1
1
1
1
1
1
9
2
1
1
1
3
3
1
1
1
3
4
1
1
1
1
1
1
1
1
5
1
3
1
1
1
5
3
2
1
5
1
1
1
1
1
1
1
857
1
3
1
2
1
3
3
10
2
5
1
1
3
2
1
2
1
3
1
1
2
1
1
1
1
1
3
2
3
3
1
1
2
1
1
3
1
2
1
61
1
1
1
1
3
1
1
1
3
1
3
1
2
1
2
1
2
1
1
1
2
3
3
1
1
2
1
2
2
1
13
1
1
4
2
1
1
1
3
3
1
1
3
1
2
1
11
1
3
3
2
1
1
1
1
1
3
1
1
2
4
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
5
1
1
3
1
4
3
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
3
3
1
1
1
6
1
1
3
1
1
1
1
5
1
3
1
1
2
3
1
1
1
1
1
1
2
3
1
1
1
29
1
2
2
1
5
1
1
1
1
1
3
3
1
1
1
1
3
4
1
1
1
2
1
1
1
1
1
1
3
1
4
1
1
1
1
3
1
3
1
1
1
1
1
10
5
1
3
3
7
1
3
1
1
3
1
1
1
1
1
1
1
1
12
1
1
1
1
2
2
1
4
1
3
3
1
1
1
1
1
1
9
1
2
1
1
3
1
1
3
1
1
2
2
1
2
1
3
1
1
6
1
1
1
3
1
2
1
2
3
1
1
3
1
1
1
3
1
2
2
1
1
1
3
7
1
3
1
5
1
4
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
2
1
1
1
2
3
1
1
3
1
2
2
1
1
1
1
1
1
2
1
1
2
2
1
1
2
13
1
1
1
1
1
10
1
1
1
1
1
4
1
1
2
1
1
3
1
1
1
1
1
1
6
9
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
2
1
1
5
1
1
3
1
1
1
1
11
1
6
1
1
1
1
1
1
2
1
2
2
1
1
1
3
1
1
1
5
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
4
1
1
3
1
3
1
1
1
3
1
1
2
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
11
1
1
1
1
1
2
1
1
5
1
1
3
1
1
1
1
1
6
1
1
1
1
3
1
15
3
1
7
3
5
1
5
2
1
1
1
8
1
3
1
1
3
1
1
4
1
3
1
5
1
1
1
1
1
2
1
15
13
1
3
3
1
1
1
1
3
5
1
1
1
1
5
2
1
1
1
1
2
7
2
1
1
1
3
3
1
1
5
1
1
1
3
1
1
3
7
1
1
1
1
4
1
2
3
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
7
3
1
2
1
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
3
1
1
1
1
2
9
1
1
1
1
1
3
1
1
1
1
1
3
1
85
1
1
1
1
1
1
9
1
1
1
1
3
1
2
3
1
1
2
1
1
1
1
1
2
3
1
1
1
3
1
1
1
3
2
2
1
1
1
3
1
1
1
2
3
1
1
1
1
3
2
1
1
1
5
3
1
3
1
1
2
1
3
1
1
2
1
1
4
1
1
1
3
1
1
1
1
3
3
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
7
1
1
1
1
1
1
2
4
3
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
12
1
108
3
1
3
1
1
1
1
1
4
1
2
1
1
3
7
1
1
3
1
1
1
5
1
1
1
1
3
2
1
1
1
3
1
5
2
1
3
1
6
1
1
1
1
2
1
1
3
1
2
2
3
1
5
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
2
1
1
5
1
1
1
1
2
1
1
2
1
1
7
1
3
1
1
3
1
1
1
1
1
2
3
9
1
1
1
1
3
2
1
3
1
3
1
3
1
6
1
1
4
1
1
1
1
1
3
2
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
2
4
3
3
1
1
2
2
1
1
1
1
3
17
1
1
7
1
1
1
1
3
3
3
1
1
1
9
2
1
1
3
1
1
7
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
3
1
43
5
1
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
2
3
1
2
2
1
9
1
1
1
1
3
1
3
1
1
3
1
1
1
2
3
5
2
1
3
1
2
1
2
1
3
1
1
1
5
5
3
1
1
1
3
1
1
3
1
1
1
3
1
2
4
3
1
5
1
1
5
2
1
1
3
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
2
1
3
5
1
1
1
1
1
3
1
5
3
1
1
1
5
7
1
3
3
3
1
1
1
1
1
1
1
3
9
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
3
2
3
1
1
1
1
4
1
3
3
1
1
7
1
3
1
107
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
2
1
3
1
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
1
1
1
2
1
1
3
1
2
5
1
1
1
2
1
1
3
3
1
2
3
2
1
1
1
2
2
1
1
1
4
1
1
1
3
1
5
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
4
1
3
1
1
1
3
1
4
3
1
1
1
3
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
7
2
1
2
1
2
2
12
2
1
1
2
1
3
5
3
1
1
1
1
1
5
19
27
9
2
3
5
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
3
1
1
3
1
7
1
2
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
3
1
6
1
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
1
1
1
21
3
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
3
1
7
1
1
4
1
1
1
1
1
1
1
1
1
3
3
1
2
2
5
3
1
4
3
1
2
4
3
1
1
2
11
2
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
7
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
5
1
3
5
1
3
1
1
1
1
1
1
1
1
3
7
1
1
1
3
1
1
1
5
3
2
1
1
2
1
2
1
1
1
1
2
1
3
3
1
3
1
1
1
1
2
19
1
1
5
1
3
1
2
1
1
1
1
1
1
3
1
1
3
1
3
1
2
1
1
1
1
1
1
2
2
3
2
1
1
1027
43
1
1
1
1
1
2
2
5
3
1
1
1
1
1
3
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
3
5
3
2
1
1
1
1
5
1
1
1
5
1
13
4
1
1
1
2
1
1
1
1
1
1
1
3
1
3
2
3
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
3
3
1
3
1
1
3
1
9
1
1
1
1
3
1
1
1
1
1
1
3
6
3
1
3
1
1
2
1
2
1
1
1
1
1
1
1
3
1
9
3
1
1
1
3
2
1
1
1
3
1
4
1
3
2
1
49
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
2
3
1
1
1
17
1
2
2
1
1
1
1
1
1
1
1
5
3
1
1
2
41
1
3
1
1
3
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
2
2
3
1
1
3
1
1
2
1
1
1
5
3
1
1
3
3
3
1
1
5
1
1
3
1
1
3
1
1
3
1
1
1
2
1
1
1
1
3
6
2
1
2
2
2
1
1
11
1
6
1
1
1
1
1
2
1
1
2
1
3
1
1
2
1
1
1
390
5
1
3
1
3
10
3
2
1
3
1
1
1
1
1
3
2
1
3
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
2
1
3
1
3
3
1
1
1
1
1
3
1
1
2
1
3
3
1
2
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
3
3
1
1
1
1
1
1
1
1
1
2
3
3
7
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
2
1
5
3
2
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
1
1
1
3
1
1
2
2
3
1
1
4
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
7
1
2
1
3
3
1
3
1
1
1
5
1
1
1
3
1
1
1
1
3
2
3
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
1
1
1
2
3
1
7
3
7
1
1
1
5
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
18
1
1
1
3
1
3
1
1
2
2
1
1
5
2
1
1
3
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
3
1
2
1
1
1
3
3
1
1
3
1
1
6
2
1
4
1
3
2
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
2
19
2
1
1
1
1
65
1
1
1
1
1
1
3
1
1
2
1
3
1
1
3
2
3
1
1
3
1
1
1
1
1
3
1
1
1
2
3
1
5
1
1
2
1
1
1
1
1
1
7
1
1
1
1
3
3
3
5
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
3
2
2
1
11
1
1
6
1
1
1
3
1
1
1
3
2
1
3
3
4
1
1
1
3
2
1
1
1
1
1
1
1
41
1
1
1
1
1
1
1
1
3
2
1
56
3
3
3
3
3
2
3
1
1
1
3
1
1
1
2
1
2
1
1
2
4
9
1
2
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
2
1
1
13
9
1
5
3
1
1
1
3
3
3
1
7
1
2
3
1
3
3
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
1
3
3
7
1
1
3
3
1
2
1
1
1
1
3
3
1
1
1
4
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
5
1
2
1
1
3
1
1
1
1
1
3
3
2
1
1
1
1
7
1
1
1
1
2
1
3
3
1
1
1
2
1
1
6
1
1
1
1
1
1
3
1
3
1
1
1
2
2
1
1
1
1
3
1
2
1
2
2
1
1
1
1
1
1
1
20
1
1
2
1
1
2
77
5
1
1
3
1
2
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
3
5
2
36
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
3
3
1
1
1
1
11
2
1
1
1
1
3
1
3
1
2
1
5
73
1
1
1
1
3
1
1
1
2
1
1
1
7
5
1
1
2
3
3
1
1
1
36
1
1
3
1
3
2
10
1
1
1
3
1
5
1
1
1
3
5
1
1
27
21
3
1
2
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
5
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
7
2
1
1
1
7
4
3
1
2
85
3
3
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
3
1
2
9
1
1
1
1
1
1
1
3
3
2
3
1
1
2
1
3
1
1
4
1
1
1
2
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
1
195
1
1
2
3
1
3
3
1
5
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
5
1
9
1
1
3
1
3
1
2
2
1
1523
1
1
3
1
1
1
1
1
1
5
3
1
3
1
1
5
3
1
1
1
3
1
481
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
5
1
3
1
1
2
3
1
1
3
5
1
3
1
1
3
2
1
1
13
5
3
3
1
5
3
2
1
3
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
3
3
1
1
1
4
1
2
1
14
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
2
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
4
1
3
1
1
2
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
3
1
5
7
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
2
2
3
1
1
1
1
1
2
2
1
1
2
1
3
1
1
2
1
1
1
3
1
3
2
1
45
1
2
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
6
3
1
1
3
1
1
1
23
1
1
1
1
1
1
3
1
1
1
21
1
1
3
3
1
1
1
1
1
7
1
1
3
10
1
1
1
19
1
1
1
3
1
1
1
3
1
3
1
1
1
3
1
9
1
15
1
3
43
3
1
1
1
2
2
1
1
3
2
1
2
1
1
3
1
1
1
1
2
1
1
3
1
1
1
3
1
2
5
3
1
3
1
1
1
1
31
5
1
3
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
3
16
1
1
3
1
1
1
3
1
2
3
3
3
4
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
5
2
1
3
1
1
1
1
1
1
1
2
1
2
5
1
1
1
1
1
1
1
1
2
3
1
3
1
2
3
1
1
1
3
3
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
7
1
5
1
3
1
1
1
1
3
1
1
4
1
1
23
1
1
3
15
1
1
5
1
1
1
1
1
3
1
11
1
2
2
1
1
3
1
3
1
1
2
1
4
1
2
1
1
1
1
1
4
1
2
3
1
13
1
1
1
1
1
29
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
2
2
1
3
1
2
1
1
1
1
1
1
1
3
3
1
1
1
1
40
1
1
1
1
1
1
1
28
1
3
1
3
1
4
3
4
3
5
3
1
3
1
5
1
54
2
1
1
1
3
69
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
6
5
3
1
1
1
5
101
1
1
3
1
1
3
1
2
5
5
15
2
1
3
1
3
1
5
1
4
3
1
1
1
2
3
3
2
3
3
2
1
4
3
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
15
3
5
3
1
1
3
1
3
1
1
5
1
1
2
1
1
2
3
3
13
1
1
3
1
1
3
3
1
1
2
1
2
1
1
3
1
1
3
2
3
1
1
8
1
5
4
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
3
1
3
1
1
1
9
1
1
3
1
3
1
2
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
3
1
1
1
2
1
3
1
3
1
1
1
1
1
2
1
2
3
1
1
1
5
1
1
1
1
1
3
1
1
2
2
1
2
1
5
2
5
1
3
1
2
1
2
3
3
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
7
1
3
1
1
3
1
1
1
1
5
3
1
3
2
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
3
7
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
2
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
4
3
1
1
1
1
1
1
5
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
5
2
1
1
5
1
3
1
3
1
3
1
3
1
7
3
1
3
1
1
1
1
1
1
2
1
2
2
3
1
3
3
1
1
1
1
3
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
3
2
1
1
27
1
1
1
2
12
1
3
3
1
1
1
1
1
1
3
1
1
3
1
1
4
3
3
3
1
1
1
1
1
3
3
2
1
2
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
61
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
5
1
3
1
1
3
1
1
6
1
2
1
1
3
1
5
1
2
3
1
1
2
1
1
109
3
1
2
1
2
1
1
1
1
1
3
2
1
1
3
1
1
1
1
3
2
1
1
1
1
1
3
2
3
1
4
1
1
1
1
1
1
3
1
2
10
1
1
3
1
1
1
1
1
3
1
2
2
1
3
1
1
1
1
2
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
2
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
23
1
1
1
1
1
1
1
19
1
1
1
1
1
1
47
1
1
3
1
1
5
1
1
1
1
1
1
3
1
1
3107
1
1
1
1
1
3
1
1
2
1
1
1
1
1
2
1
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
1
3
1
1
1
9
2
1
1
1
3
3
1
1
3
1
2
3
2
3
1
1
3
1
1
1
1
1
1
5
2
1
1
59
1
1
1
5
1
1
2
3
5
1
1
1
1
2
1
1
1
2
3
2
8
20
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
3
3
3
1
1
1
1
3
1
11
1
5
2
1
1
3
1
2
1
3
1
1
3
1
1
3
3
1
2
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
2
3
1
1
3
1
1
3
3
1
1
1
1
3
1
3
3
3
1
2
3
3
1
1
3
4
3
3
1
3
3
2
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
9
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
2
3
3
1
1
1
2
3
4
1
2
1
1
1
1
13
1
4
1
1
6
1
1
1
1
1
1
1
3
2
1
1
2
1
1
3
3
1
1
1
3
1
8
1
3
1
1
1
1
1
1
1
2
3
2
1
1
1
1
3
5
1
2
1
1
1
2
23
1
3
1
2
3
13
18
1
1
2
3
1
2
1
3
16
3
1
1
1
1
2
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
7
1
2
1
1
3
1
3
1
1
3
1
3
1
19
5
1
1
1
10
1
2
1
1
1
2
1
3
2
1
1
1
1
3
1
1
3
3
1
3
1
2
1
3
1
1
2
1
2
3
1
3
1
1
1
2
2
3
7
3
1
1
1
1
18
7
2
1
5
1
3
1
1
1
1
1
3
3
1
1
3
1
1
3
1
4
1
1
2
1
1
1
1
1
1
1
5
1
2
1
3
3
1
1
1
2
1
1
1
3
2
1
3
1
1
3
3
1
1
1
1
1
1
3
1
2
1
3
1
1
3
1
2
1
1
2
1
3
1
1
3
1
1
1
2
1
1
1
2
5
3
2
3
3
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
35
1
3
3
1
1
1
3
1
3
2
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
3
1
1
1
1
3
1
1
12
1
1
2
1
1
1
1
1
1
1
6
1
1
1
1
3
1
3
1
2
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
3
5
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
3
3
2
1
1
9
1
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
1
1
2
3
1
1
1
2
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
16
1
1
1
3
5
5
1
5
17
1
1
1
1
1
1
3
1
3
1
1
1
3
1
3
2
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
35
3
1
1
1
9
5
3
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
3
2
1
23
1
1
1
3
1
1
3
1
1
1
2
5
1
3
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
2
3
1
1
1
3
1
1
1
1
1
2
1
1
1
13
1
1
3
3
1
1
1
3
1
1
2
3
1
1
1
3
1
5
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
11
2
1
5
1
1
1
3
1
1
2
3
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
36
3
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
3
5
1
1
3
3
1
7
1
1
1
1
2
1
1
1
17
3
1
1
3
1
2
2
1
2
1
1
7
1
1
3
3
1
2
1
3
2
1
1
46
5
1
2
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
179
1
1
3
3
3
7
4
1
1
1
1
5
1
1
1
2
1
1
1
3
2
1
7
3
2
3
1
3
2
1
1
1
3
3
3
1
2
4
3
1
1
3
1
1
2
1
5
2
1
6
7
1
1
1
3
2
2
2
1
1
1
1
3
1
3
1
1
1
1
1
1
11
1
1
1
9
1
7
3
1
3
3
3
3
1
2
1
1
39
1
1
1
1
1
5
3
6
1
3
1
1
5
11
1
1
3
1
1
1
2
3
1
1
1
2
1
1
1
2
1
1
1
1
2
3
1
1
3
1
1
1
2
5
3
2
23
1
3
1
2
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
3
1
3
1
3
3
3
5
1
1
1
1
1
1
2
1
1
1
5
1
2
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
4
1
1
3
1
1
1
1
1
3
1
1
4
1
1
33
1
1
1
53
3
3
1
3
1
18
1
1
1
1
1
1
1
8
1
3
1
1
1
1
1
1
1
1
2
9
1
3
1
1
3
1
1
1
1
1
3
1
1
15
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
2
1
3
1
1
1
3
5
1
1
3
5
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
3
2
1
3
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
3
1
1
4
1
27
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
1
1
1
1
1
1
9
1
7
1
1
2
1
1
1
1
1
1
1
3
1
3
2
3
1
1
2
1
9
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
5
1
1
1
3
1
3
1
1
1
1
1
3
3
3
1
139
1
1
1
1
1
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
3
3
1
5
1
1
1
1
1
2
1
1
5
1
1
2
3
1
3
1
1
2
9
1
1
2
2
2
2
1
1
2
1
3
1
5
5
1
1
1
1
1
3
15
1
1
1
1
2
1
1
1
3
1
1
49
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
1
3
3
1
1
1
3
1
3
5
1
3
1
2
3
3
1
1
1
1
1
5
1
1
1
5
5
1
1
2
3
3
1
1
3
1
5
2
3
1
1
1
1
1
3
1
3
1
1
1
3
1
3
5
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
3
3
1
1
1
1
2
3
5
1
2
1
3
3
3
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
29
1
1
1
1
2
1
1
1
3
3
1
1
3
1
1
7
1
1
3
1
1
40
2
1
1
1
1
5
2
1
7
2
5
5
2
1
1
1
1
2
1
3
1
1
1
1
13
2
1
2
1
1
5
1
1
1
1
1
1
1
1
3
1
1
3
1
2
3
5
3
1
8
1
1
1
3
1
3
1
1
9
3
1
3
2
1
1
1
1
4
1
1
1
1
3
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
2
1
3
1
3
1
1
2
2
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
73
1
3
2
1
5
1
1
1
1
1
1
1
1
1
1
1
5
11
1
1
1
1
2
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
2
66
1
1
1
5
1
1
1
1
5
1
2
2
1
1
3
1
1
2
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
3
3
3
1
1
1
1
1
1
3
2
3
1
1
3
1
1
1
2
1
3
1
1
39
1
1
1
1
1
1
1
3
27
1
1
15
1
2
1
1
3
1
3
1
3
45
2
1
1
1
3
1
1
3
1
2
1
3
2
1
1
3
1
1
1
7
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
2
1
1
3
1
1
1
2
1
2
2
1
1
1
1
1
1
1
4
3
1
3
1
3
3
1
3
1
1
1
2
1
1
1
1
3
1
1
3
1
1
3
3
1
1
1
3
7
1
1
1
2
1
1
1
3
1
1
1
1
2
1
3
4
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
3
3
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
8
2
1
1
1
7
2
1
1
1
2
3
1
1
5
3
1
1
1
3
1
3
4
1
1
1
1
3
1
3
1
3
1
1
1
2
1
1
1
1
1
11
1
1
1
1
1
7
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
7
1
3
1
7
3
2
4
1
2
1
2
1
1
2
1
3
1
1
1
1
2
1
1
1
7
9
1
1
1
5
9
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
2
9
1
3
3
3
1
2
1
2
5
1
2
1
3
5
3
3
1
2
1
1
3
5
1
1
1
1
1
7
1
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
5
3
1
3
1
9
5
1
1
3
2
1
1
1
1
1
1
1
3
2
1
1
3
1
3
1
1
2
1
1
1
1
2
1
1
3
1
8
1
1
1
7
1
1
3
1
1
3
1
1
1
3
1
1
4
1
1
3
2
2
1
2
1
2
1
1
1
1
1
1
1
11
1
1
3
1
1
2
3
2
1
1
1
1
1
1
1
1
9
2
2
3
1
3
2
3
1
1
1
1
1
1
3
1
1
1
1
2
5
2
3
17
3
3
1
1
3
1
1
2
1
1
6
1
1
11
1
2
3
1
1
2
1
1
2
1
3
7
4
3
1
15
1
1
1
1
1
1
1
5
1
2
4
1
1
1
1
1
1
13
1
1
1
3
2
2
3
1
1
1
3
1
1
1
13
1
1
2
13
1
3
5
1
3
1
1
1
11
1
1
1
1
1
1
1
5
1
5
1
2
1
1
3
1
3
1
3
1
1
1
2
1
1
1
5
1
1
1
1
1
1
3
1
3
1
3
8
1
1
1
1
1
1
1
2
1
3
3
1
1
1
5
10
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
2
1
1
3
2
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
2
2
2
1
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
3
3
1
1
1
6
4
1
1
3
1
1
5
3
3
1
3
3
1
1
1
3
3
1
1
8
1
1
1
2
2
3
1
1
1
1
2
1
1
1
3
5
1
1
6
1
1
1
2
4
1
1
1
3
3
3
3
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
6
1
13
1
1
2
2
1
1
1
1
3
5
1
41
4
1
9
2
1
5
1
1
1
1
3
1
1
1
2
1
1
1
8
5
3
1
1
1
1
1
1
2
1
1
9
1
1
1
3
1
2
1
3
3
1
1
3
1
1
5
1
1
1
1
2
1
6
1
6
1
3
1
1
3
1
1
1
4
7
2
1
3
3
1
1
1
1
3
3
1
2
1
1
1
1
2
1
1
1
1
2
2
1
1
2
1
3
1
5
11
3
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
3
1
8
3
14
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
11
1
1
1
1
1
3
3
2
3
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
3
3
1
7
1
1
1
2
1
5
3
1
1
4
4
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
3
2
5
3
3
1
1
1
3
1
3
1
1
1
1
1
1
3
2
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
5
7
4
1
1
1
3
1
1
1
5
1
1
3
4
1
3
1
1
1
3
1
1
1
1
5
5
1
1
3
1
2
5
2
7
1
1
1
5
1
1
1
1
1
1
3
1
1
2
4
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
5
1
7
14
1
3
1
1
1
7
1
3
1
1
1
1
1
1
2
2
5
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
3
1
8
1
1
1
1
1
1
2
2
1
1
5
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
2
1
1
3
3
1
1
1
3
2
1
1
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
2
5
3
3
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
6
1
3
3
1
3
3
1
3
1
3
1
1
1
1
1
1
3
1
1
11
2
1
2
2
1
1
1
1
1
1
1
9
3
2
1
3
1
1
2
1
1
1
3
1
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
15
1
1
3
1
10
1
3
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
9
2
1
3
3
1
1
1
3
2
1
1
3
3
1
1
1
1
1
1
2
3
1
1
2
1
1
1
3
7
1
1
3
1
1
1
1
6
1
1
1
3
7
21
3
3
8
1
3
1
3
3
2
1
1
4
1
1
5
3
7
1
3
1
1
1
5
1
3
2
3
3
1
1
11
1
1
3
1
1
1
3
1
1
1
3
1
2
1
1
2
1
1
1
1
1
3
1
1
3
5
2
1
2
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
97
2
1
1
7
3
1
1
1
1
3
3
25
2
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
2
5
1
1
1
2
3
1
5
1
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
3
3
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
1
3
1
5
1
3
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
5
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
13
1
1
3
1
1
1
1
1
1
1
1
1
1
82
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
11
1
3
1
1
1
3
1
2
3
1
3
1
2
1
1
1
4
1
3
1
1
1
1
1
3
1
3
1
1
10
5
1
1
1
1
2
1
1
3
1
1
3
2
1
1
1
2
1
1
5
3
1
2
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
2
1
1
9
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
1
8
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
7
3
1
1
2
3
1
25
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
2
2
1
1
1
1
1
5
3
1
3
25
1
1
18
2
1
1
1
1
3
3
2
1
1
3
7
1
2
1
10
1
3
1
1
2
1
1
5
1
3
1
1
3
5
3
1
1
1
1
2
1
4
1
1
1
1
1
1
3
9
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
3
1
1
5
3
1
2
3
5
2
1
1
2
1
1
1
2
1
5
1
1
1
2
1
1
1
1
3
1
1
3
1
2
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
2
3
2
1
3
2
3
1
1
2
4
1
3
3
1
1
1
1
8
1
1
9
1
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
2
1
1
1
1
1
5
3
3
1
3
3
7
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
3
2
2
1
4
1
1
19
1
1
3
1
2
1
1
1
2
5
2
1
3
3
1
3
1
1
1
3
3
1
3
1
1
1
1
1
5
7
1
1
1
10
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
5
1
3
1
3
3
2
1
1
5
1
1
1
3
7
1
1
3
1
1
5
1
1
1
3
1
3
1
1
1
1
5
2
1
3
1
1
1
3
5
1
3
2
9
1
1
1
1
3
1
1
1
2
3
1
1
1
1
3
3
1
1
2
1
5
1
1
1
1
3
1
1
1
1
1
3
1
5
1
2
3
3
1
1
1
1
1
3
1
1
1
1
1
1
3
3
3
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
3
6
1
8
1
3
6
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
9
1
2
5
1
1
1
7
1
1
1
1
3
4
1
3
1
3
1
1
1
3
1
3
3
9
1
1
1
1
1
1
1
1
2
4
5
1
1
3
1
1
2
1
1
5
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
3
1
1
1
1
5
39
1
1
1
1
1
3
3
1
3
1
1
1
2
1
1
3
1
1
1
1
2
3
1
1
2
3
3
4
1
1
1
5
1
1
1
1
1
1
5
1
1
1
17
4
1
1
1
1
17
1
1
1
1
1
1
1
3
3
7
1
2
1
1
57
1
3
1
3
1
3
1
1
1
13
1
2
3
3
2
1
1
3
1
1
1
1
1
5
1
1
1
3
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
3
5
1
1
1
11
1
1
1
1
1
1
1
2
9
1
1
1
1
3
3
1
1
1
3
1
5
1
1
2
1
1
1
1
1
1
4
1
1
3
1
1
1
1
2
1
1
3
2
1
3
1
5
3
1
1
2
2
1
3
1
1
1
1
1
1
1
1
3
2
1
1
7
3
3
1
2
2
1
1
3
1
1
1
1
3
1
1
3
2
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
2
10
1
1
3
9
1
4
1
3
1
1
1
1
1
2
1
3
11
2
8
1
2
2
1
5
3
7
1
1
1
2
1
1
2
1
3
1
1
1
5
1
2
3
1
1
3
1
1
1
2
1
9
1
1
3
9
1
3
1
1
7
1
1
1
2
1
1
1
1
1
3
3
2
1
3
3
3
1
3
3
1
1
1
3
2
2
1
4
3
1
1
1
1
1
1
3
1
1
3
1
3
3
1
3
1
2
1
1
1
3
1
1
1
5
1
1
1
1
2
13
1
1
1
1
5
1
1
1
3
1
1
1
1
7
2
1
1
2
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
11
2
1
1
1
1
5
3
2
1
1
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
3
3
1
1
1
3
1
3
3
1
1
1
1
1
17
1
3
2
1
3
3
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
5
3
1
3
54
3
2
1
3
1
1
1
1
1
1
2
1
1
3
3
1
1
1
3
3
1
1
1
4
2
3
1
1
1
1
1
3
3
1
1
1
1
7
1
3
1
1
1
1
2
1
1
1
1
25
3
17
5
2
1
1
3
1
1
1
1
1
1
1
9
1
1
43
1
1
1
7
1
1
2
1
3
1
1
6
1
3
1
3
1
1
3
6
1
7
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
3
1
7
7
3
1
3
3
1
1
1
1
3
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
3
1
5
13
1
1
1
1
1
9
1
2
5
4
1
3
1
3
5
1
1
1
1
1
1
3
1
1
5
3
4
2
3
1
1
1
2
1
1
7
1
1
16
3
2
1
1
1
23
1
1
1
35
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
27
167
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
5
1
1
1
1
5
1
9
1
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
1
5
4
1
13
3
2
1
1
1
1
3
2
3
1
1
2
3
9
1
1
1
6
1
1
1
13
1
2
2
2
3
1
2
1
7
3
2
3
3
1
1
1
3
1
3
3
4
1
1
1
3
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
3
1
1
1
1
5
7
1
1
1
3
1
5
1
1
1
2
3
1
1
1
1
9
1
1
1
1
15
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
2
3
1
1
3
2
1
3
1
1
1
1
1
1
1
3
2
2
1
5
3
1
1
2
1
19
3
1
1
21
1
1
5
1
1
11
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
2
1
1
1
2
3
2
1
1
1
1
1
3
3
1
1
3
1
3
4
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
9
7
1
3
1
1
1
3
2
3
3
1
3
3
3
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
3
1
1
3
1
1
5
1
2
1
2
7
3
1
1
1
1
1
1
1
5
1
1
3
5
5
3
9
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
2
1
1
3
1
1
3
1
2
1
1
2
5
1
1
1
1
1
2
3
1
1
10
1
1
1
1
1
1
1
1
2
1
2
1
1
5
3
1
1
143
1
3
1
1
9
1
1
1
1
1
1
1
1
1
11
1
1
3
3
1
4
1
1
1
1
7
2
1
1
1
3
1
1
1
3
5
1
5
1
2
1
1
3
2
1
1
1
1
3
1
1
1
1
2
1
11
1
1
1
3
3
2
3
1
1
3
1
3
3
3
2
3
1
1
3
4
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
3
85
3
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
5
1
3
1
37
1
2
5
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
11
1
1
1
3
1
1
3
1
1
1
1
1
1
1
4
1
2
3
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
1
3
4
1
1
3
3
1
3
1
1
3
3
1
1
1
3
3
1
3
1
1
3
1
1
1
1
1
2
1
1
2
1
7
1
1
3
1
1
1
2
1
3
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
3
3
2
1
1
3
1
1
1
7
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
3
1
7
3
1
1
3
1
1
1
1
5
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
2
1
1
2
3
1
1
1
28
1
2
1
1
2
1
1
1
9
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
5
1
1
3
1
3
2
5
3
1
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
3
3
1
27
1
1
3
3
1
3
1
2
1
2
1
1
9
1
1
1
3
5
1
1
1
10
1
1
3
3
1
1
1
53
1
1
3
1
1
1
2
2
1
3
1
1
1
6
1
1
1
3
1
1
1
4
7
1
1
1
1
1
1
1
5
1
1
20
3
1
1
2
3
1
1
2
1
1
2
5
1
5
1
1
1
1
1
3
2
1
1
1
3
3
2
3
3
1
3
1
1
2
2
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
7
1
2
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
3
1
1
3
3
1
4
1
3
3
13
1
3
24
1
2
1
1
1
1
1
1
3
1
1
1
3
1
2
5
1
3
1
3
3
1
1
5
1
3
1
1
1
1
1
5
5
1
1
1
3
2
1
3
3
1
2
3
1
3
1
1
5
1
1
1
1
26
1
1
1
2
1
3
1
1
1
1
5
27
3
1
1
3
1
1
3
2
1
3
4
1
1
11
1
1
1
3
3
1
1
3
1
1
1
1
3
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
2
1
2
5
1
1
1
3
1
1
2
9
2
1
1
1
3
1
4
1
1
1
9
2
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
1
3
1
2
3
1
1
1
3
1
3
1
1
3
1
2
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
3
5
1
1
9
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
2
1
1
1
5
93
4
1
2
3
1
6
2
3
1
3
1
1
2
3
1
10
1
3
1
1
1
1
4
1
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
3
1
2
1
3
3
1
1
1
1
3
43
1
2
3
1
3
3
1
1
1
1
1
1
1
1
3
1
3
1
5
1
2
3
1
1
1
1
1
2
1
1
1
1
3
3
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
25
1
2
3
1
1
2
1
1
1
3
1
1
4
3
3
1
1
3
3
2
1
1
1
5
1
1
1
1
1
1
1
1
1
3
3
2
69
1
3
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
3
3
233
1
1
1
1
5
5
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
5
1
1
1
1
4
1
15
1
1
1
1
4
1
3
1
1
3
1
1
1
3
3
3
1
1
1
1
1
1
2
1
1
1
1
3
3
1
1
3
2
3
1
2
1
1
1
2
1
3
6
2
5
4
1
1
1
1
7
1
2
1
1
3
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
3
3
4
9
1
7
1
1
1
1
3
1
1
1
5
1
3
1
2
1
1
3
1
3
1
3
2
3
5
2
1
1
9
1
1
1
1
1
1
1
3
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
5
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
3
1
1
1
5
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
4
1
2
1
1
5
1
3
1
1
1
2
1
1
1
1
1
1
1
1
5
6
1
1
1
1
2
1
1
1
1
1
2
3
1
2
1
3
2
1
1
1
12
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
3
3
1
3
1
3
1
7
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
3
3
6
1
1
1
1
3
1
7
7
1
1
1
1
1
9
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
1
3
15
3
3
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
5
2
2
1
5
1
4
1
1
2
1
1
2
3
1
4
1
1
2
3
1
3
2
3
2
1
1
1
1
1
1
1
15
1
2
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
2
1
5
1
1
1
1
1
39
1
3
1
1
1
1
2
3
1
2
7
1
1
13
3
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
2
1
4
1
1
9
2
5
1
2
1
1
1
1
3
1
3
1
1
1
2
1
1
2
2
1
11
1
1
3
1
3
3
1
3
1
6
3
1
1
1
1
1
2
1
4
3
3
1
2
1
2
2
3
1
1
1
1
1
1
1
2
2
5
3
1
1
2
1
1
1
3
1
1
1
1
3
3
1
3
1
1
19
5
1
24
1
1
3
4
1
1
3
1
1
3
1
1
2
2
2
3
5
1
41
1
4
2
9
3
1
1
1
3
7
1
1
1
1
1
1
1
1
2
1
3
1
3
1
3
5
1
1
1
1
1
1
2
1
3
1
3
3
5
1
3
3
3
1
1
9
3
1
1
1
43
3
1
1
1
1
2
13
1
1
1
1
1
1
21
1
1
1
2
2
1
1
3
4
5
1
3
1
4
17
2
2
2
3
3
1
1
1
5
3
52
1
1
1
2
1
1
1
1
1
4
1
1
1
1
3
1
1
2
1
1
1
1
2
3
1
3
5
1
1
1
1
1
1
1
1
1
5
5
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
3
1
1
1
1
2
1
1
1
1
6
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
3
2
1
2
2
3
2
1
2
1
1
3
3
3
1
6
5
1
1
1
1
3
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
1
1
3
1
4
1
1
1
1
1
2
1
1
2
1
2
1
1
3
1
1
1
3
2
2
3
1
1
1
2
1
1
1
1
3
2
3
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
1
1
2
1
1
2
3
3
1
6
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
33
1
1
3
3
1
3
1
1
1
1
1
1
5
1
3
2
1
1
1
1
1
1
3
3
1
9
1
1
2
1
1
1
1
1
9
1
1
2
3
5
2
1
1
20
9
1
1
1
3
17
2
3
2
1
1
1
3
1
2
1
2
1
1
3
15
1
1
1
2
1
1
1
1
3
4
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
9
1
1
3
2
1
1
1
2
1
1
87
1
1
1
1
2
1
25
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
3
2
7
5
3
1
1
1
9
5
1
15
3
1
1
1
1
1
1
1
3
1
1
1
8
5
2
3
1
1
1
1
1
1
9
6
1
2
1
2
3
1
5
3
1
1
9
1
1
5
3
1
5
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
15
1
3
2
1
1
1
1
1
1
1
3
1
1
3
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
39
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
2
1
1
1
3
3
1
2
1
1
6
1
1
1
2
1
1
1
1
16
1
4
1
1
1
24
3
1
1
3
3
3
1
1
3
2
3
1
1
1
1
1
1
1
2
5
1
2
1
1
1
3
3
1
3
1
1
1
1
1
1
66
1
2
1
1
5
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
108
4
1
1
1
1
1
1
1
1
1
7
3
1
1
2
1
1
1
13
3
2
1
1
1
1
4
3
1
1
1
1
1
1
1
3
2
1
1
11
1
3
1
1
2
1
1
3
3
1
1
2
1
1
3
3
1
1
1
1
1
3
2
3
3
1
7
1
3
3
1
1
3
1
1
1
2
1
1
1
1
3
1
1
15
1
1
2
3
1
1
1
3
1
1
1
3
1
1
3
5
6
1
1
1
2
3
1
11
1
1
1
1
2
3
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
3
1
3
1
3
1
1
1
1
3
2
1
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
2
9
1
1
2
1
1
1
1
1
3
1
4
1
1
5
3
4
1
5
1
1
1
1
2
4
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
3
1
3
2
1
1
7
1
1
5
1
1
1
2
1
2
1
1
9
1
3
1
1
1
1
5
1
5
3
3
1
1
3
2
1
3
1
1
1
1
1
1
6
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
3
1
1
5
1
1
3
1
3
1
1
3
1
1
1
1
1
2
3
1
1
5
2
1
1
4
1
1
1
1
1
2
35
1
4
3
1
2
3
1
7
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
13
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
15
1
1
5
3
1
1
1
1
1
9
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
15
11
1
7
1
1
2
1
7
1
3
1
1
1
1
1
3
1
1
2
3
1
2
1
1
3
2
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
15
1
3
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
8
1
2
2
1
5
1
2
1
3
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
3
3
1
3
3
5
1
1
1
8
1
4
1
1
1
1
3
1
2
3
1
2
1
1
2
3
1
5
1
1
1
3
3
11
3
1
1
3
2
2
1
1
1
21
3
1
1
1
10
1
3
1
3
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
3
1
3
1
1
1
3
2
1
1
1
1
3
1
2
1
1
2
1
5
1
122
1
2
1
1
1
3
1
1
3
1
1
1
3
3
1
1
3
1
1
1
4
1
1
5
1
1
1
2
1
1
1
1
123
2
1
9
1
1
4
1
1
3
1
1
3
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
43
3
3
1
2
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
3
1
271
3
1
1
2
1
1
1
1
3
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
2
1
1
3
1
2
3
1
2
1
2
1
2
3
1
15
1
1
1
1
3
5
1
2
1
1
3
1
3
3
1
1
1
1
5
3
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
3
2
1
1
3
3
1
1
3
2
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
6
3
1
1
2
1
1
3
1
1
2
1
1
3
2
1
1
1
1
2
1
1
121
2
3
1
1
1
1
2
1
3
3
37
1
3
1
1
1
3
1
1
1
2
1
1
1
1
23
4
1
1
1
2
1
1
1
1
1
1
5
1
3
1
1
3
2
4
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
2
3
1
1
1
1
1
1
2
2
1
1
1
3
1
3
1
2
1
1
1
3
1
8
2
3
1
1
1
2
1
1
1
1
3
2
3
1
1
1
2
1
3
3
1
1
3
1
1
3
1
1
1
1
5
1
1
1
2
3
1
4
1
2
1
1
2
1
1
1
1
1
1
16
1
1
4
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
74
1
1
3
1
1
1
3
2
1
4
1
6
2
1
1
1
1
1
1
13
5
3
1
2
3
15
1
3
2
3
5
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
3
1
3
1
3
1
6
1
2
1
2
1
1
3
1
1
1
1
1
2
1
1
45
2
1
1
1
1
2
3
3
1
6
1
1
3
1
3
1
3
1
1
1
1
1
3
1
5
3
1
1
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
1
3
3
8
3
1
1
2
1
1
2
12
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
2
1
1
1
1
1
1
70
1
1
5
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
9
1
4
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
3
1
3
2
1
3
2
3
1
5
1
2
1
3
1
3
3
1
1
1
3
1
14
1
1
1
1
3
1
1
5
1
1
1
3
7
1
2
1
3
1
1
1
1
1
1
3
2
3
1
1
2
1
1
1
1
5
1
2
3
1
47
1
3
3
3
3
1
3
1
1
1
1
5
3
1
1
1
917
2
1
1
1
1
3
3
1
1
3
1
1
3
3
5
1
1
3
1
1
1
1
3
1
2
1
2
1
1
4
1
1
2
1
1
3
3
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
3
2
1
3
5
1
1
1
4
1
1
2
3
1
7
1
1
1
3
1
7
1
1
3
1
1
1
51
1
1
1
4
1
1
7
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
11
1
3
1
1
1
2
1
1
5
3
3
4
1
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
4
1
3
1
2
1
5
3
1
1
1
1
3
1
2
3
3
1
1
5
1
3
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
2
2
5
1
1
1
1
3
1
1
1
1
3
5
1
3
1
2
1
1
3
2
1
4
1
1
7
1
1
3
1
1
1
1
1
3
2
1
1
1
2
1
9
1
3
1
1
1
3
1
3
38
1
2
4
1
3
1
1
9
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
2
1
5
1
1
1
1
29
1
2
1
2
4
3
9
31
5
1
2
1
2
3
1
1
1
3
1
5
1
1
1
3
1
1013
3
1
12
1
1
3
1
1
1
1
1
47
1
2
1
10
1
1
1
33
1
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
7
1
1
3
1
14
1
1
1
3
1
1
1
1
1
6
1
1
2
1
1
1
1
2
7
1
1
1
3
2
4
2
1
1
1
1
3
2
1
1
1
1
3
2
1
1
1
2
3
1
1
2
1
1
1
2
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
57
1
3
1
1
1
2
1
1
1
2
1
1
2
1
7
1
1
3
1
1
3
3
2
1
1
3
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
3
5
1
1
3
1
2
3
1
1
2
1
3
1
19
1
1
1
5
1
1
1
1
1
1
2
3
1
7
1
1
2
2
1
3
1
2
27
1
3
1
1
3
1
406
1
1
1
1
3
3
1
3
1
1
41
2
1
8
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
3
3
3
1
1
1
13
1
3
1
2
5
1
1
3
5
3
1
3
1
1
5
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
3
3
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
5
1
1
2
2
1
10
1
3
1
1
1
3
1
1
2
1
1
1
1
2
3
5
1
1
3
1
1
5
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
3
1
1
1
1
1
5
1
5
1
1
1
1
7
1
21
1
1
1
1
1
5
1
1
1
3
1
1
3
4
3
1
1
1
1
1
1
1
1
2
1
1
5
3
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
11
1
2
5
1
3
3
2
1
1
1
1
1
1
2
1
1
1
1
5
3
1
1
1
3
1
1
1
1
9
5
1
2
2
1
1
1
3
1
3
3
1
1
1
1
1
1
1
2
2
3
1
5
2
1
1
1
1
1
1
3
1
1
1
2
1
3
1
2
1
1
3
1
1
1
3
1
1
2
2
1
1
1
1
1
2
3
2
1
3
1
2
5
3
2
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
7
1
1
1
1
1
2
1
3
1
1
1
3
3
1
7
1
1
1
1
2
1
13
1
1
1
5
1
48
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
9
1
1
1
1
1
35
1
39
37
1
2
1
1
1
1
1
1
5
1
1
1
1
6
1
3
2
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
10
1
7
1
1
1
5
3
1
1
1
1
1
3
1
1
1
2
6
1
1
1
1
5
1
3
3
1
1
3
4
1
3
3
1
1
1
1
1
1
1
3
1
1
3
3
1
2
3
1
1
1
1
1
1
1
2
2
9
1
3
1
2
1
1
1
1
1
1
3
7
3
1
1
1
1
2
3
2
1
1
1
1
1
1
7
1
1
1
1
5
1
4
1
1
1
1
2
1
3
1
1
1
1
9
1
2
1
1
1
1
1
2
3
1
1
11
1
1
1
1
14
1
1
1
3
3
1
2
1
1
233
1
2
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
3
1
1
1
1
1
3
1
2
3
1
7
1
1
2
21
1
3
1
2
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
3
5
1
1
3
1
1
1
1
1
1
4
1
1
1
9
1
2
2
3
1
1
1
1
1
1
1
1
1
5
1
3
1
3
2
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
3
3
1
1
1
1
5
2
1
1
11
3
2
1
1
1
1
1
1
7
1
1
2
5
1
2
1
3
3
3
1
1
1
1
1
5
1
1
3
1
1
3
1
1
3
2
3
1
1
2
2
2
2
1
3
1
3
1
1
1
1
1
1
1
2
1
1
11
1
1
1
1
5
3
3
2
5
1
1
3
2
1
1
1
1
1
1
1
2
2
1
1
2
1
3
1
2
1
1
1
1
3
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
13
5
11
15
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
3
1
1
5
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
3
1
3
1
3
1
1
1
3
1
2
4
3
1
1
1
1
3
1
1
1
1
1
3
3
45
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
2
17
1
1
3
1
1
1
2
3
1
1
2
3
1
10
1
1
1
1
1
3
1
1
1
1
2
6
1
1
1
15
1
1
1
1
3
4
1
2
3
1
1
1
1
3
3
1
1
1
3
1
2
1
1
3
1
1
2
1
1
3
2
1
1
1
1
5
3
5
1
1
2
1
2
1
1
1
1
3
1
1
1
23
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
2
1
1
1
1
4
1
3
3
1
1
1
4
3
3
1
3
1
2
1
3
1
1
9
1
1
1
3
1
1
7
8
1
1
4
7
1
3
1
3
3
1
1
1
1
1
1
3
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
39
1
1
1
3
1
1
2
1
1
5
2
1
2
1
1
1
1
1
3
1
1
2
8
1
1
1
5
1
1
1
3
1
1
1
1
3
2
1
4
1
1
1
2
1
1
1
2
1
1
1
1
2
3
1
2
5
1
1
1
1
1
2
1
1
1
1
1
7
1
1
3
1
1
2
1
1
1
3
3
1
1
6
1
3
2
1
3
1
3
1
1
1
3
3
1
1
1
1
5
1
1
7
1
3
3
2
1
3
1
1
9
3
1
1
3
2
1
1
1
9
1
1
7
1
1
1
1
1
1
1
4
1
1
1
1
2
3
2
1
1
2
1
1
1
1
9
1
3
1
1
1
1
1
1
1
5
1
2
1
1
3
2
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
5
2
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
5
2
1
1
3
2
1
1
3
1
1
3
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
2
1
1
1
2
1
1
3
3
2
8
1
1
1
3
1
1
1
1
1
2
1
1
1
1
5
1
1
5
1
3
3
1
3
1
3
1
1
5
1
1
1
2
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
15
1
1
3
1
1
1
1
1
1
1
1
7
2
1
1
1
1
3
3
2
1
3
3
1
1
1
4
1
1
1
1
3
3
3
1
1
3
15
1
1
1
1
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
3
1
1
1
3
1
2
1
1
1
1
2
1
1
3
3
3
1
1
3
1
5
2
1
1
1
1
2
1
1
1
1
1
2
3
4
1
3
7
1
1
8
5
1
9
1
3
2
1
1
1
1
1
1
2
1
1
1
1
3
3
1
33
17
1
4
2
1
13
1
1
1
23
1
2
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
7
1
2
1
1
1
1
1
1
1
1
1
3
1
3
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
4
3
1
1
1
2
2
3
7
2
2
3
1
1
1
3
1
3
1
1
2
1
1
1
1
3
4
4
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
5
1
1
1
1
1
1
3
1
3
1
4
1
2
2
3
2
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
2
3
1
2
1
3
1
2
1
5
3
1
1
1
1
3
4
1
1
1
1
3
3
3
3
2
1
1
1
1
3
1
1
1
3
1
5
1
1
3
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
2
1
1
16
1
2
1
3
5
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
3
1
1
3
1
3
1
1
1
5
3
1
1
6
1
1
2
1
1
1
1
1
1
1
1
5
1
3
2
1
1
1
2
1
3
2
1
1
1
1
3
1
3
1
2
1
1
2
3
1
1
1
1
3
2
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
5
1
3
2
5
1
1
1
3
1
3
1
1
1
3
1
1
5
1
42
1
1
3
2
3
1
3
1
3
1
7
1
1
2
1
59
3
1
3
1
1
3
5
1
2
1
1
1
2
23
5
1
3
1
2
1
2
2
2
1
1
1
3
1
3
1
5
1231
4
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
5
1
5
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
2
3
7
1
1
1
2
1
3
2
1
1
1
1
1
3
1
1
1
1
3
1
4
1
1
1
3
2
1
1
1
1
3
3
3
4
1
13
1
1
1
3
1
1
8
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
2
1
5
3
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
2
50
3
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
4
1
3
1
1
1
7
1
1
3
2
3
2
1
1
1
3
1
3
1
3
1
3
2
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
2
3
1
1
7
65
4
1
3
3
4
1
1
17
1
1
2
1
5
15
1
1
1
1
2
7
2
1
1
1
1
1
1
1
1
1
1
1
6
1
5
1
1
1
1
5
2
3
1
7
1
1
1
1
3
1
9
3
1
4
1
3
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
2
1
1
3
5
3
1
1
1
1
1
1
1
1
2
1
2
3
1
1
2
1
1
1
3
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
12
3
1
3
3
1
1
5
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
3
1
1
7
1
1
1
2
1
3
1
1
1
1
5
3
3
1
1
3
1
1
3
1
3
1
2
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
21
2
1
37
1
1
1
1
3
1
1
1
5
3
2
1
1
3
1
1
5
1
1
3
2
1
3
2
1
3
3
1
6
3
2
1
1
2
3
2
1
3
2
3
1
3
1
1
1
1
3
1
2
8
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
2
3
1
1
1
1
3
54
3
1
1
3
1
1
3
1
1
1
3
1
1
3
2
1
1
1
1
3
2
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
2
1
1
1
1
2
1
1
5
13
3
1
1
3
1
3
1
3
1
1
1
21
1
1
1
1
1
3
3
11
1
1
1
1
2
1
3
5
1
5
2
5
2
1
1
1
1
1
3
1
3
1
2
1
5
3
1
7
1
1
3
3
1
1
1
1
2
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
3
2
3
1
3
3
1
1
3
1
1
1
1
11
2
1
5
2
5
5
1
1
1
9
1
1
7
1
3
1
2
1
3
23
1
2
1
1
3
1
3
1
1
3
2
1
2
3
1
1
3
2
5
1
2
3
5
1
5
3
1
1
1
1
3
3
7
1
1
2
1
1
2
1
2
1
3
2
3
1
1
3
3
1
3
1
1
1
1
1
4
1
1
1
1
4
1
2
1
2
3
1
13
3
1
2
1
1
1
1
1
1
1
1
6
3
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
1
1
1
2
3
1
1
3
1
1
1
1
4
1
1
1
1
3
1
1
1
1
1
15
4
2
2
1
1
3
3
3
3
1
1
1
1
1
1
5
3
1
1
1
5
1
1
1
1
3
1
1
2
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
3
2
1
7
11
1
3
1
1
1
2
1
1
3
3
1
1
1
1
1
3
1
2
1
1
1
3
5
3
1
1
3
1
1
1
1
1
1
9
3
1
3
1
263
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
11
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
2
3
1
1
6
1
1
1
3
1
1
1
2
1
3
1
3
1
1
1
1
1
16
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
3
2
1
1
1
5
1
1
3
3
1
2
1
6
2
1
1
1
3
1
14
1
1
1
3
1
1
2
3
3
1
7
1
1
3
3
3
5
1
1
3
1
1
2
3
3
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
2
1
2
3
1
1
1
1
1
1
3
1
3
15
1
1
3
1
3
1
3
1
1
1
1
15
2
1
3
3
2
3
3
9
1
3
1
3
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
1
3
3
1
1
1
1
3
3
3
1
1
3
1
1
1
1
2
1
1
3
1
1
2
1
1
1
3
1
1
3
2
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
4
1
2
2
1
1
1
2
1
1
1
5
3
22
1
1
3
5
1
1
3
2
29
1
1
2
1
1
1
1
1
1
1
1
9
2
1
1
1
3
1
4
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
2
5
3
1
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
1
1
2
3
3
1
3
1
3
3
1
1
1
3
1
1
1
1
6
1
1
9
3
2
1
1
1
1
1
1
3
1
5
1
1
1
1
1
3
2
1
2
1
1
1
1
3
1
3
1
1
1
1
3
1
2
2
3
2
4
2
2
1
3
1
1
2
1
1
1
3
2
1
3
3
1
7
3
1
1
105
1
1
1
3
1
1
1
1
1
3
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
26
1
2
3
3
1
3
1
3
1
3
9
1
1
5
1
1
1
1
3
1
4
1
1
1
1
1
37
1
1
3
5
5
1
1
3
1
1
1
1
1
5
2
1
1
1
1
3
1
1
11
1
1
1
8
1
1
3
1
1
1
6
1
3
3
1
1
1
1
1
1
1
3
11
3
1
3
2
2
3
1
1
4
1
1
3
1
1
1
127
2
1
1
1
1
3
1
1
1
1
1
1
1
1
15
7
1
1
1
1
3
1
3
1
4
1
1
2
1
1
1
2
1
1
1
1
1
1
4
1
2
3
3
5
2
1
1
1
1
1
1
15
1
3
3
1
1
1
4
1
1
3
1
1
1
15
1
1
5
1
2
1
3
2
9
2
1
1
2
1
1
3
1
1
1
2
1
3
2
3
1
3
3
1
1
1
1
17
1
2
1
1
3
1
2
1
3
1
1
3
1
1
1
2
1
1
1
1
2
1
5
1
1
3
1
1
3
3
3
1
1
2
2
2
1
2
1
6
3
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
3
6
1
2
1
1
3
1
1
5
1
2
1
5
2
3
3
13
1
1
1
3
2
1
1
2
1
1
1
1
1
1
1
23
1
1
1
1
1
1
1
1
1
2
1
9
1
3
2
1
1
1
1
1
7
1
1
3
3
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
8
1
5
1
17
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
9
1
1
1
1
1
3
2
3
3
1
1
1
4
1
1
1
5
2
1
1
1
1
83
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
23
1
3
1
2
9
1
1
1
2
27
1
1
1
3
3
1
1
1
1
5
1
1
1
1
3
2
1
3
1
1
1
1
1
1
5
1
7
9
3
3
1
1
1
1
3
1
1
1
5
3
1
3
11
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
39
1
1
3
1
1
5
1
11
1
3
1
2
3
2
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
15
1
1
1
2
1
3
2
2
1
1
1
3
2
1
1
1
2
1
3
3
1
1
9
1
1
1
1
1
1
1
3
11
1
5
2
1
1
7
2
1
3
9
9
1
1
1
2
1
1
1
1
7
3
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
2
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
1
3
1
2
5
1
1
1
1
1
1
1
2
1
7
2
1
1
3
5
3
2
1
1
3
3
26
1
3
1
1
3
1
10
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
2
2
1
2
1
2
1
1
15
1
2
1
3
5
2
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
3
13
1
1
8
1
22
5
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
4309
3
1
3
1
5
1
1
1
3
11
1
3
1
1
5
1
1
1
1
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
3
1
3
3
1
1
1
1
3
1
2
1
1
1
7
1
2
7
3
1
1
2
1
1
1
1
4
1
1
1
4
2
3
3
3
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
1
3
3
2
2
1
5
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
2
1
3
3
3
1
1
1
12
1
5
2
1
1
1
1
3
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
3
1
3
3
1
1
2
2
1
5
1
1
1
1
2
3
1681
1
3
7
2
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
3
2
1
2
1
1
5
1
2
1
1
1
3
1
1
1
5
1
1
1
3
5
1
3
1
7
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
10
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
3
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
2
6
1
2
3
1
1
2
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
8
1
1
1
1
1
1
3
1
1
1
11
1
2
1
9
1
3
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
9
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
3
1
3
3
1
3
4
2
7
1
2
1
3
3
3
7
1
1
5
1
3
2
1
1
1
1
1
3
1
1
1
2
2
1
2
2
1
1
3
1
4
1
249
1
3
1
1
5
1
1
2
1
1
1
1
9
1
1
3
1
1
2
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
9
2
1
1
1
1
1
7
1
1
1
3
1
7
1
2
2
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
5
1
1
1
1
1
3
87
1
1
1
1
2
1
3
1
1
2
16
1
1
3
1
3
1
1
2
1
1
1
1
1
4
1
2
3
2
1
1
2
3
1
1
1
6
1
1
1
3
1
1
1
1
1
1
7
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
25
1
1
1
3
1
1
29
1
1
1
1
1
1
1
1
1
5
25
4
3
2
1
2
1
1
11
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
2
3
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
2
1
1
11
1
3
1
32
3
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
3
6
1
1
1
1
3
1
7
14
1
3
1
1
1
1
1
3
1
1
1
27
3
3
1
3
1
7
1
1
2
1
1
1
1
1
3
1
2
1
1
2
1
1
9
1
2
2
2
1
1
2
7
1
1
1
3
1
1
2
3
1
3
1
3
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
2
1
1
2
15
1
2
1
2
1
1
1
1
1
1
1
1
2
7
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
3
1
6
1
1
1
1
3
1
2
1
1
29
3
1
2
1
1
1
3
3
3
7
1
15
1
3
1
1
1
1
1
1
6
1
1
2
1
1
1
1
1
1
3
2
1
1
1
3
1
2
7
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
5
5
1
1
1
1
1
2
1
1
1
1
3
3
1
1
2
1
1
1
5
3
1
2
3
1
1
1
1
1
5
1
3
2
1
1
1
1
1
1
4
2
3
1
2
1
1
1
1
3
1
2
1
1
5
1
3
2
18
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
21
3
1
1
1
1
1
1
1
1
5
1
3
1
1
2
1
1
3
2
1
1
5
1
1
1
1
4
1
2
1
2
1
2
15
5
5
3
1
1
3
3
1
1
1
1
3
5
1
3
3
1
3
2
4
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
3
3
2
2
1
1
1
1
1
1
1
3
4
1
1
1
2
1
11
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
2
1
1
4
2
1
1
1
3
1
1
1
2
1
3
1
1
1
1
7
4
1
1
1
3
1
1
1
1
1
3
1
1
3
1
3
1
5
1
1
1
1
1
1
1
1
2
1
7
5
1
1
1
1
1
3
1
2
2
1
1
1
1
1
3
1
1
1
2
1
1
2
1
3
13
1
1
1
2
3
3
1
1
3
3
3
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
3
1
3
1
1
4
2
1
3
1
1
3
1
1
1
1
1
3
3
1
1
5
1
1
3
1
3
1
5
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
2
1
15
1
1
2
1
3
1
1
3
2
1
3
3
6
1
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
2
1
1
1
1
7
1
1
1
1
1
3
3
1
2
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
5
1
1
2
1
2
1
1
3
1
2
1
3
2
1
11
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
5
1
2
1
1
1
1
1
1
5
1
3
2
1
1
1
3
1
2
3
3
2
3
1
1
1
3
2
3
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
4
4
2
1
1
3
3
1
1
3
1
3
1
1
2
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
18
1
3
1
3
1
2
1
2
1
1
1
1
1
1
3
1
1
4
1
1
5
1
3
3
1
1
1
1
3
3
2
3
1
1
3
1
1
2
1
1
1
3
5
3
2
3
1
1
1
101
3
3
2
3
3
1
1
1
3
1
1
1
3
3
1
1
3
3
1
5
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
17
1
1
3
1
1
1
3
1
3
1
3
1
1
1
3
1
1
1
1
1
1
3
2
1
3
1
1
1
5
2
3
1
1
1
4
3
2
1
3
1
1
1
1
1
1
5
5
1
1
1
1
1
1
5
4
1
1
1
1
3
1
3
27
1
3
1
5
1
3
3
1
1
1
2
1
3
3
1
3
1
3
1
1
1
1
1
1
1
1
1
3
58
2
1
3
1
1
1
1
4
1
1
19
2
1
1
1
3
5
1
2
2
1
1
5
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
4
7
1
3
1
3
1
1
3
1
9
1
1
1
1
1
1
2
1
3
1
6
3
1
1
1
4
1
1
2
1
1
35
3
11
1
1
1
1
1
1
1
1
1
1
1
25
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
3
3
1
1
4
1
2
1
1
1
1
1
2
2
1
9
1
3
1
4
21
2
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
5
3
1
1
2
1
5
1
1
1
1
1
1
1
3
1
27
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
15
1
1
3
3
1
1
6
1
1
2
1
1
2
21
1
1
1
1
2
3
1
1
2
1
1
1
3
1
1
3
3
1
2
4
1
1
1
5
1
1
1
1
1
1
3
2
1
1
3
1
1
3
3
1
1
2
1
1
2
1
2
3
2
1
1
3
1
2
5
1
3
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
2
1
2
1
1
2
1
1
1
1
1
3
3
1
3
1
3
1
1
41
1
1
1
1
1
2
3
1
13
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
7
3
3
1
1
1
1
2
1
1
1
1
1
1
1
5
3
3
1
2
1
2
1
1
1
3
1
1
2
1
2
1
1
1
5
2
3
1
1
1
1
7
1
1
1
1
1
3
1
1
2
1
3
3
5
2
1
7
3
3
1
1
3
1
2
1
1
3
1
3
2
3
1
1
1
5
2
1
3
3
1
1
1
1
2
2
1
3
1
1
2
1
1
6
1
5
1
1
1
2
1
5
1
1
1
3
2
1
1
3
1
3
1
1
1
1
2
2
4
1
3
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
3
1
2
2
1
1
1
3
3
1
7
2
3
1
1
1
1
1
1
1
1
14
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
5
1
1
1
2
1
1
1
1
1
2
1
1
1
2
3
7
1
1
2
3
1
7
1
1
1
2
1
1
1
1
1
1
3
1
1
3
2
160
3
2
1
11
2
3
2
1
1
1
3
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
1
1
3
1
1
11
1
2
3
1
3
5
1
1
1
1
25
1
7
1
1
1
2
1
5
1
1
1
3
3
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
1
5
3
2
3
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
2
2
3
2
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
7
3
2
3
9
1
1
3
1
3
1
1
1
3
2
1
1
1
1
1
1
3
2
1
2
2
1
1
5
1
1
1
1
1
2
1
2
1
3
1
105
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
13
1
1
2
1
3
1
1
1
1
7
1
1
1
5
9
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
76
3
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
2
1
5
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
4
1
1
3
5
1
1
1
3
1
1
5
1
17
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
11
1
1
2
1
3
1
1
2
1
1
1
9
6
1
1
1
5
1
9
1
11
2
1
1
1
1
1
1
5
1
1
13
1
1
1
1
3
2
1
1
3
1
2
3
1
3
3
59
5
1
1
1
1
1
1
3
1
1
11
9
3
3
1
1
1
1
3
1
3
1
3
1
2
1
1
1
1
1
1
2
1
3
1
1
3
1
2
1
1
2
1
1
1
6
7
2
1
3
1
18
2
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
2
2
1
2
7
1
1
3
17
5
5
1
1
1
5
3
1
1
2
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
2
3
1
2
1
2
1
1
2
2
1
3
1
1
2
5
1
1
3
1
1
1
1
2
9
1
1
1
1
1
1
5
3
1
1
3
3
1
1
2
11
3
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
4
1
1
1
1
1
2
5
1
1
2
1
1
1
1
2
1
1
3
5
3
1
1
1
1
1
1
1
1
2
1
3
3
3
1
1
1
2
2
2
1
1
1
1
3
1
11
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
5
1
1
3
1
2
3
1
1
3
1
3
3
1
1
3
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
8
3
4
1
1
1
25
1
4
1
1
5
3
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
9
2
1
9
1
1
3
3
3
1
7
3
1
1
1
1
1
3
1
3
2
1
1
1
1
5
1
1
1
1
3
3
1
3
1
2
7
1
1
2
1
1011
1
1
1
1
3
3
1
3
1
3
3
5
1
3
1
37
1
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
2
3
3
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
5
3
1
3
1
3
1
1
1
1
1
4
1
5
3
1
2
3
1
1
3
1
1
85
1
1
1
1
1
1
1
1
1
1
3
3
1
3
1
11
1
3
3
1
1
1
1
1
1
3
1
1
1
3
2
1
1
2
3
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
31
1
3
3
1
1
1
3
1
3
7
1
1
3
1
1
1
1
1
1
3
3
2
1
7
1
1
1
1
1
3
1
18
1
1
1
2
2
1
1
1
1
1
6
1
1
1
1
1
4
2
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
4
2
1
3
1
3
1
1
1
1
2
3
1
3
1
1
1
1
1
3
1
3
2
1
3
1
9
3
1
1
4
1
2
1
2
1
1
1
1
1
10
1
1
1
1
1
1
2
1
1
1
3
1
3
1
2
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
3
1
1
3
1
1
3
2
1
1
3
1
1
1
1
2
1
1
1
2
1
2
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
13
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
29
3
2
1
1
1
1
1
1
3
1
1
2
1
1
3
1
1
1
99
7
1
1
1
39
3
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
2
7
3
1
2
1
3
3
2
3
1
25
11
5
2
3
3
1
1
1
1
3
2
1
1
1
3
1
1
1
2
1
1
3
1
1
1
3
1
2
1
1
3
615
1
1
1
1
2
2
2
1
1
1
1
1
1
13
2
3
1
1
1
1
5
1
1
3
1
1
1
3
1
1
1
1
1
3
3
2
1
1
3
3
1
2
2
1
5
1
2
1
3
1
1
1
3
1
1
2
1
3
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
7
1
1
1
2
7
1
3
1
1
2
3
3
1
3
1
1
1
1
3
13
1
1
7
1
2
1
3
2
1
1
1
1
1
1
3
1
1
1
1
1
7
1
12
3
3
4
1
1
1
1
1
62
3
1
3
2
2
1
1
1
1
2
1
1
3
3
2
3
3
1
3
2
1
2
3
2
1
1
5
1
3
1
1
1
3
1
3
5
1
1
3
1
1
1
2
2
1
3
10
1
1
1
2
2
1
1
6
3
1
1
1
2
1
1
1
1
1
3
1
1
5
5
5
1
1
1
2
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
3
2
1
3
1
1
1
4
1
1
1
1
3
1
1
43
1
1
21
1
1
1
3
1
1
1
1
1
1
2
3
3
1
13
3
4
1
1
1
2
3
1
1
1
2
1
1
3
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
13
1
3
1
1
2
1
2
5
2
11
21
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
9
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
3
1
5
1
1
1
1
1
11
1
1
3
1
1
8
1
1
3
1
3
1
3
1
1
3
3
1
63
1
1
1
1
3
3
1
1
3
1
2
11
9
1
2
1
1
1
1
1
1
1
1
2
3
1
3
1
1
5
1
1
1
2
1
1
1
3
9
3
1
1
1
3
3
1
9
27
1
2
1
1
15
1
1
1
1
1
1
2
1
1
3
6
1
2
1
1
1
4
1
1
1
2
1
1
19
1
1
1
1
3
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
217
1
3
1
1
1
1
1
9
1
1
3
1
5
1
3
1
1
3
1
1
1
6
1
2
2
1
3
3
1
3
3
1
1
1
1
1
3
1
5
1
1
1
3
3
3
3
1
1
2
1
1
9
1
3
1
1
3
3
2
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
1
1
2
5
3
1
2
1
1
1
27
1
1
1
1
2
2
3
1
1
1
1
1
1
1
255
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
3
1
3
1
1
3
1
3
1
1
1
1
2
2
1
1
1
3
3
2
3
1
1
1
3
3
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
3
3
3
1
2
6
1
1
1
1
1
1
3
1
1
2
1709
2
5
3
1
1
1
1
2
1
3
1
1
2
1
1
3
1
2
2
3
9
1
3
1
1
1
3
1
5
3
1
7
5
2
1
1
3
1
1
1
1
1
3
4
1
2
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
7
3
1
1
1
3
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
3
3
3
1
2
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
3
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
3
1
1
1
35
1
1
2
1
1
1
1
1
3
1
1
1
1
2
4
1
1
1
1
11
1
1
3
1
1
1
1
1
1
1
7
1
1
27
3
1
1
3
1
1
5
5
3
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
2
1
3
3
3
1
1
3
5
1
2
1
1
1
1
1
3
1
1
1
1
1
3
3
3
3
2
1
1
5
1
1
2
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
5
1
1
1
2
1
1
3
1
3
1
1
1
2
1
5
1
1
3
1
3
1
3
3
3
1
1
3
2
6
1
3
1
1
1
81
1
1
3
1
2
3
3
1
1
1
3
1
3
1
1
15
1
1
1
2
1
7
5
3
1
1
1
1
1
1
53
3
2
1
5
2
1
1
3
1
1
1
1
1
3
1
1
2
3
1
1
1
2
1
1
3
1
1
1
1
1
2
1
4
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
3
1
1
2
1
19
1
1
5
1
1
1
1
3
3
3
1
1
2
3
1
3
3
1
3
2
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
2
1
3
1
3
1
1
1
3
1
1
2
3
1
3
1
1
1
1
1
5
4
1
1
1
1
1
2
3
2
1
1
3
1
1
3
1
1
3
1
3
1
2
3
1
1
1
5
1
1
2
1
3
5
1
3
1
1
2
1
1
2
3
1
1
1
1
1
2
1
1
2
2
5
2
1
1
1
1
3
1
3
1
1
2
1
1
5
1
1
3
1
1
1
3
1
5
1
1
1
1
8
3
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
687
1
1
1
1
2
3
1
1
1
1
2
1
1
5
1
3
2
1
3
1
5
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
3
5
5
2
1
1
3
1
1
1
2
1
2
1
1
1
1
1
1
3
9
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
2
3
1
1
1
3
1
1
1
1
2
1
2
1
1
3
1
3
1
2
2
1
1
3
1
1
1
7
1
1
1
1
1
1
3
2
1
2
1
1
1
1
3
14
1
2
1
1
3
1
2
1
1
1
3
1
3
43
1
1
1
1
5
1
3
2
2
1
2
2
1
2
3
1
1
1
1
1
2
1
3
3
1
448
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
3
1
3
1
3
5
1
5
1
1
1
1
1
3
1
3
1
1
1
2
1
1
4
1
1
25
1
2
6
1
2
1
1
1
1
1
1
9
1
1
1
3
2
1
5
3
3
1
3
1
1
1
7
1
265
1
1
1
1
7
1
2
3
1
2
1
1
1
1
1
1
2
2
1
2
1
1
1
3
9
1
1
1
3
1
1
1
6
1
3
1
3
1
1
2
3
1
1
3
1
1
1
3
3
1
3
1
1
3
1
1
3
1
3
2
1
1
1
1
1
1
3
2
3
1
1
7
2
11
1
1
2
3
3
1
1
1
2
1
3
3
1
2
29
1
3
1
2
1
5
1
2
2
2
1
1
5
1
3
2
1
1
2
1
1
1
1
1
1
3
3
1
4
1
1
3
3
3
1
1
1
1
2
1
1
5
1
1
3
1
5
1
4
1
1
1
1
1
2
1
5
1
1
1
1
1
2
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
13
1
1
1
3
5
1
1
3
1
1
1
1
1
1
6
3
2
2
3
11
1
1
1
1
1
3
1
1
25
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
3
3
1
3
1
1
1
1
1
5
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
2
1
7
2
1
2
3
1
1
1
1
2
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
3
2
2
2
1
7
2
1
3
1
1
4
1
3
1
1
3
1
15
1
5
1
6
1
1
1
1
1
1
1
4
1
1
3
3
1
2
1
1
1
1
1
1
2
2
1
1
3
3
1
1
1
1
2
1
1
19
2
2
1
1
1
1
7
1
2
3
3
11
1
1
3
3
1
1
2
3
9
1
1
1
1
1
3
366
1
1
1
1
3
1
1
3
1
3
4
2
1
1
1
1
1
5
1
7
9
1
2
1
1
7
3
1
1
1
1
6
7
3
1
1
1
1
3
1
1
2
2
1
1
11
3
1
2
1
3
1
1
1
2
1
1
1
1
5
3
5
2
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
7
3
1
2
3
1
3
1
19
2
3
1
5
11
3
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
3
2
1
1
1
2
1
1
3
1
3
3
1
1
1
3
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
3
2
3
3
2
3
3
4
1
1
3
1
1
1
1
3
3
1
1
3
3
1
1
5
1
1
3
3
1
1
1
2
3
1
1
3
3
1
3
2
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
2
3
1
1
3
1
7
1
3
5
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
4
3
3
3
1
1
3
3
1
1
1
3
1
1
3
3
1
1
1
1
1
3
3
3
1
2
3
1
3
1
3
3
1
1
3
3
5
7
1
3
1
1
1
2
1
1
3
1
3
1
4
1
1
3
1
1
1
5
1
1
3
1
2
1
3
6
1
3
3
1
3
1
1
1
1
3
3
1
1
1
2
1
1
3
3
2
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
3
1
1
2
1
4
3
3
3
1
2
1
2
17
2
1
29
2
1
1
3
19
3
2
1
1
1
5
1
5
10
1
1
1
1
2
1
1
2
3
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
5
5
1
3
1
1
3
1
3
5
1
1
7
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
11
1
1
5
3
1
1
1
1
3
1
3
1
2
1
4
1
3
1
11
2
1
3
3
1
1
1
1
1
1
1
3
35
2
2
1
5
1
1
1
3
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
3
11
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
3
3
1
1
3
1
2
3
1
1
2
2
1
1
1
3
7
1
4
1
1
29
1
1
1
6
1
5
1
1
1
1
1
2
3
1
1
1
1
4
2
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
7
11
3
15
1
1
3
1
1
1
2
1
2
1
1
2
3
1
1
1
1
3
2
1
1
1
1
3
1
3
21
1
1
1
1
4
1
1
1
1
1
2
55
3
1
7
1
1
2
1
1
2
3
1
32
3
3
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
2
1
1
1
3
2
2
1
5
1
3
141
1
5
1
3
22
1
7
1
1
1
1
2
1
1
1
3
2
1
1
1
1
7
1
3
9
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
3
2
1
1
1
1
1
1
5
1
2
1
1
9
2
1
3
1
1
7
3
1
5
3
1
1
1
1
1
1
5
1
1
1
3
1
3
1
1
3
1
1
1
1
1
2
5
1
3
3
1
11
1
1
1
3
1
1
1
1
2
3
5
1
1
1
3
2
1
3
2
3
3
1
1
1
2
1
2
6
1
1
2
2
1
1
3
3
3
3
1
1
1
1
1
3
7
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
2
1
1
1
3
1
1
2
1
3
1
1
2
2
1
5
1
1
1
1
2
1
5
1
2
1
1
1
3
2
1
1
1
847
3
2
2
1
1
1
70
1
4
1
1
1
2
1
3
1
1
3
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
5
1
5
1
1
5
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
3
3
1
3
1
1
1
2
1
1
3
2
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
47
1
1
1
1
1
2
2
11
1
3
2
3
1
1
1
2
1
1
2
1
1
3
1
1
2
1
24
7
1
1
1
1
1
2
3
1
1
3
1
1
3
5
1
1
1
3
1
1
9
1
1
1
1
1
1
3
1
1
1
13
1
1
1
3
1
3
1
1
1
1
11
1
1
1
60
1
2
1
1
1
1
3
1
1
5
1
1
1
1
7
1
1
1
1
1
4
1
1
2
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
1
2
1
2
1
3
1
1
1
1
1
1
3
1
3
1
7
1
1
1
3
7
1
3
3
2
1
1
2
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
3
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
1
2
1
2
1
5
1
3
1
7
1
1
3
1
1
1
1
1
1
1
2
3
3
1
1
1
2
1
1
3
1
3
1
1
3
2
1
1
1
3
1
3
2
1
1
3
1
2
1
3
1
3
1
1
4
1
1
5
1
5
1
1
3
1
3
1
1
1
1
3
1
2
1
2
2
1
1
1
1
5
2
3
1
39
2
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
3
5
3
1
1
1
1
36
1
1
3
1
2
3
1
5
3
1
1
1
1
1
1
3
3
2
1
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
3
2
2
3
3
1
5
2
1
3
1
1
1
1
1
3
2
1
1
3
1
3
2
1
2
1
5
1
3
1
3
5
1
1
1
9
1
1
1
1
5
1
3
1
1
1
1
3
3
1
105
4
5
1
1
8
1
1
1
14
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
3
1
8
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
2
1
3
5
1
1
1
5
1
1
1
1
2
1
1
1
5
1
1
5
1
3
1
1
3
1
1
1
1
3
1
1
2
3
16
1
2
1
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
17
1
5
1
1
1
1
1
5
1
3
1
1
5
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
2
3
1
1
5
1
1
4
3
13
1
1
2
1
3
1
1
2
1
2
1
3
2
1
3
1
1
1
1
1
2
1
1
1
1
15
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
3
2
2
1
1
1
5
2
1
1
4
1
1
1
1
1
2
1
4
3
1
3
1
1
1
1
1
1
49
1
1
3
1
2
1
4
1
1
1
1
5
1
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
39
1
1
1
1
1
1
2
1
1
5
1
1
1
3
1
1
1
2
7
3
1
1
3
1
11
2
1
3
1
1
1
1
1
1
1
3
5
3
1
1
3
1
1
1
3
1
1
1
2
2
1
1
1
9
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
5
2
1
1
1
5
3
1
1
1
1
1
3
3
1
3
1
1
1
2
1
1
3
3
1
1
1
3
3
1
3
1
3
3
1
13
3
1
1
11
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
4
3
1
1
4
1
1
3
3
2
1
1
3
1
1
3
1
5
8
1
1
1
1
1
3
4
3
1
1
2
1
5
2
3
3
3
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
2
1
2
2
1
1
2
2
1
2
1
3
5
1
1
2
1
5
3
1
1
1
1
1
3
1
3
1
1
1
5
17
1
1
3
1
3
3
5
1
3
1
2
1
1
2
1
2
1
1
1
1
8
4
1
1
3
2
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
381
1
3
1
1
1
3
2
1
1
1
2
1
1
1
1
1
4
1
1
1
1
3
1
1
1
2
3
2
15
1
1
1
1
1
1
1
1
3
1
5
1
1
1
3
1
3
1
3
1
1
1
1
4
1
1
1
2
3
2
1
1
1
3
5
1
1
1
1
3
1
1
3
2
1
8
1
3
1
1
1
1
1
1
2
1
1
1
1
7
3
1
1
1
1
1
1
1
1
11
4
1
1
1
3
3
1
1
1
19
1
1
1
3
1
4
1
1
1
1
35
1
1
1
3
4
1
1
1
2
1
13
1
1
1
1
1
1
1
1
1
1
5
1
10
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
35
1
1
1
1
1
1
3
1
1
2
3
31
11
3
1
1
1
3
1
11
3
1
5
1
1
1
1
3
7
2
1
1
1
3
1
3
1
4
1
2
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
45
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
3
2
35
3
1
1
2
3
7
3
3
3
1
1
1
1
2
3
1
1
1
1
1
1
1
5
3
1
4
3
1
7
1
4
1
1
3
1
1
1
1
1
3
3
1
1
1
1
2
1
5
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
9
1
4
1
3
1
10
1
1
1
1
1
1
1
2
3
1
3
1
1
2
2
1
3
76
5
3
23
3
1
3
5
3
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
2
1
1
9
1
3
1
2
3
1
3
1
1
10
3
1
1
2
1
5
3
1
1
1
1
1
1
3
1
3
2
3
1
3
1
1
1
1
23
1
5
1
1
920
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
3
1
1
3
3
1
1
1
1
3
3
1
1
3
1
1
1
3
4
1
2
1
1
1
1
2
3
1
1
1
1
1
31
1
1
1
2
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
2
1
1
2
4
1
1
3
1
1
1
15
1
1
1
1
1
1
3
3
1
7
1
5
1
1
3
1
5
1
1
1
3
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
5
1
1
3
1
1
3
3
1
1
1
1
27
1
1
7
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
4
1
2
3
7
17
1
1
1
3
2
4
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
6
3
7
1
5
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
4
3
1
1
1
1
13
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
5
1
1
1
1
1
1
1
2
2
3
1
1
1
2
7
1
3
3
1
1
2
1
23
2
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
5
1
3
5
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
4
1
52
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
2
3
1
1
1
3
3
1
25
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
2
1
2
1
1
2
1
1
3
7
3
2
1
1
1
1
3
1
1
1
1
2
1
2
1
1
3
1
5
1
1
1
1
1
1
1
1
2
3
1
1
1
5
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
3
1
3
1
2
1
1
1
1
1
2
1
1
8
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
15
1
1
1
1
11
1
1
1
1
3
1
1
1
2
9
5
1
1
3
3
5
3
1
1
2
1
1
3
1
1
1
1
9
1
2
1
5
3
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
11
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
1
1
1
2
3
1
1
23
4
1
1
1
2
1
1
3
1
1
1
4
4
3
1
1
1
1
1
1
1
3
1
1
1
1
91
2
1
1
1
1
1
5
3
2
1
3
1
4
2
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
6
1
1
4
2
2
1
1
1
1
5
1
1
1
1
1
5
1
1
4
1
2
4
1
1
1
1
7
1
1
3
3
1
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
5
2
3
3
1
1
7
1
1
1
1
1
5
1
2
1
3
1
1
1
1
9
1
5
6
1
1
3
1
1
1
3
1
2
2
1
2
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
3
3
5
1
1
1
1
3
2
3
1
1
1
42
1
1
4
3
1
1
1
1
1
2
3
3
1
1
1
3
1
1
1
4
847
3
3
1
1
1
1
1
4
8
1
1
1
3
2
1
1
2
1
3
1
1
3
1
9
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
9
5
3
1
3
3
1
1
5
1
1
1
1
1
1
1
3
2
5
3
1
1
1
1
1
1
1
1
3
9
1
1
2
1
3
2
1
1
1
1
1
1
1
1
3
3
1
1
3
2
1
1
1
1
2
3
1
1
1
3
1
3
1
1
1
3
1
3
2
1
1
1
2
1
3
1
2
3
1
1
1
1
2
5
1
1
3
1
1
1
1
1
1
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
41
1
2
1
2
1
1
1
71
2
3
1
2
1
1
3
1
1
1
1
2
1
1
1
2
3
1
2
7
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
3
1
1
1
3
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
9
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
14
4
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
3
2
1
125
1
1
1
1
3
2
1
1
3
1
1
1
2
1
2
1
2
1
1
1
57
3
3
5
1
1
1
5
1
1
12
1
3
1
3
2
1
2
2
7
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
5
3
1
1
1
1
2
3
1
2
1
3
1
1
1
1
3
3
1
1
1
1
1
1
7
1
1
3
1
6
1
3
1
1
2
1
3
3
3
1
5
1
5
1
3
1
4
1
1
5
2
1
1
1
3
1
1
1
3
1
1
1
1
1
13
3
2
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
8
1
3
1
3
1
1
1
1
2
1
1
3
7
9
3
3
1
1
1
1
1
1
1
2
3
3
1
1
5
1
2
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
5
3
1
3
3
1
2
8
1
1
1
1
3
1
3
1
1
5
2
1
17
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
2
1
1
3
1
1
1
1
3
9
1
7
1
2
1
1
3
1
1
1
3
1
1
3
1
1
1
2
1
1
1
1
1
1
1
5
1
1
3
1
2
1
7
1
3
1
1
3
1
2
1
3
1
3
11
1
1
1
1
3
3
1
1
1
1
1
1
3
1
5
1
1
2
3
1
2
1
13
3
3
1
1
1
3
5
1
15
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
15
2
1
1
5
3
1
1
3
2
1
1
1
5
3
3
1
2
3
1
1
1
1
3
1
5
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
19
1
1
7
1
2
2
1
1
11
2
3
1
2
1
1
1
2
1
1
3
3
8
1
1
1
1
3
1
3
1
16
1
1
2
1
1
1
1
2
1
1
3
3
8
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
6
1
3
1
1
1
3
2
9
1
1
1
1
1
2
1
3
3
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
1
7
2
1
1
1
1
1
3
1
5
2
1
1
3
2
1
2
1
1
37
1
3
1
1
8
1
1
1
1
7
4
1
1
3
1
1
5
1
3
1
1
9
1
1
187
1
1
3
1
3
2
1
1
1
1
1
9
4
1
1
1
2
1
1
3
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
2
1
3
2
3
1
3
1
1
1
2
1
1
3
3
1
1
1
1
1
1
2
2
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
9
1
4
3
1
1
1
3
1
3
2
1
31
1
1
1
1
1
1
1
9
1
1
1
2
1
1
1
2
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
2
1
1
24
1
3
1
1
5
2
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
9
1
1
1
1
3
1
2
1
1
1
17
1
1
1
1
1145
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
2
1
1
4
1
1
1
1
2
3
1
4
2
1
1
1
1
1
3
3
1
3
19
1
1
1
2
1
1
1
1
1
3
3
3
1
2
4
1
1
3
3
1
3
1
3
1
1
1
3
37
1
5
1
2
3
3
3
1
1
3
2
1
1
1
1
5
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
17
1
1
3
1
1
1
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
7
1
2
1
3
1
1
2
1
1
3
1
1
1
3
1
1
3
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
2
5
7
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
5
7
1
1
3
4
2
1
1
1
1
3
1
2
1
2
1
2
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
5
1
5
1
3
1
3
1
3
1
1
1
8
1
1
2
1
2
3
3
2
2
1
3
1
1
1
3
1
1
1
3
3
7
1
1
1
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
3
1
3
1
5
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
2
1
1
2
1
1
1
1
2
3
2
1
1
1
3
3
1
1
3
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
7
1
4
1
3
1
1
3
1
1
3
1
4
3
1
1
3
3
1
1
3
2
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
3
1
1
3
2
4
139
1
1
2
1
4
1
1
15
1
1
2
1
1
1
1
1
1
2
1
18
1
3
3
1
19
1
1
1
5
1
2
1
3
1
1
1
1
1
1
1
1
1
1
51
1
1
1
1
3
2
4
1
1
3
3
2
1
1
1
1
1
1
1
1
5
1
1
3
1
1
3
1
1
3
1
3
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
89
1
2
1
1
2
1
1
1
2
1
7
1
3
1
1
1
1
2
1
1
1
5
2
1
1
1
1
1
1
3
1
3
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
3
2
2
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
3
2
2
1
1
2
1
1
1
1
3
7
5
4
1
1
1
4
2
1
1
2
1
1
1
3
1
1
1
1
3
1
1
10
1
1
3
1
1
2
1
2
1
1
1
1
3
3
1
1
3
2
5
3
4
2
1
1
1
1
1
5
2
2
1
1
1
1
1
1
7
1
1
3
1
2
1
1
2
1
1
1
1
1
3
1
5
1
1
3
1
3
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
3
2
3
1
1
1
2
1
3
3
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
4
3
3
2
2
3
7
3
1
1
1
3
3
1
3
1
1
1
1
1
6
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
9
5
3
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
3
1
1
3
1
1
1
4
1
1
1
1
3
1
1
1
1
1
2
1
1
5
1
1
1
1
1
3
1
1
3
1
2
9
2
1
1
1
3
1
3
1
2
1
1
1
1
3
1
1
1
3
3
1
1
3
1
13
5
1
1
2
3
3
1
1
1
3
1
1
1
3
1
1
1
8
1
1
1
3
1
1
1
7
3
1
1
1
3
1
1
1
2
1
7
2
1
1
1
1
1
3
1
1
2
1
3
2
1
1
1
1
1
1
1
5
1
1
3
1
1
51
1
3
2
5
1
1
6
1
3
3
2
1
1
7
3
3
2
3
1
1
1
2
1
1
1
47
3
1
1
1
1
156
1
1
3
1
1
2
1
3
3
3
1
2
2
1
1
3
1
1
3
1
1
3
1
1
1
2
2
1
1
1
3
1
1
1
1
3
2
1
3
1
1
1
7
2
1
3
1
1
3
2
1
1
1
2
3
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
3
2
3
3
1
1
1
17
1
3
3
3
3
1
3
7
5
1
1
2
2
1
3
1
2
2
2
1
1
1
1
4
1
1
1
3
1
3
1
1
1
1
1
1
3
1
4
1
1
1
2
1
3
1
5
1
3
1
1
2
1
1
1
4
1
1
2
1
2
3
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
5
1
1
3
2
1
1
3
3
2
3
1
1
1
2
5
1
3
1
2
3
1
1
1
2
3
1
5
1
3
1
3
3
3
1
2
1
1
3
13
1
1
1
2
1
3
1
1
1
2
1
1
1
3
1
5
1
1
1
1
3
3
1
1
3
1
3
2
2
1
1
1
1
4
1
1
1
1
4
1
1
1
3
1
3
2
1
3
1
1
1
47
1
1
1
3
3
3
1
3
1
3
1
1
5
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
15
1
1
5
1
1
1
2
1
3
3
1
1
2
1
3
4
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
3
3
1
1
3
1
3
1
3
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
7
2
1
1
2
1
1
1
1
1
1
3
1
4
1
1
1
1
1
2
1
1
3
3
1
3
1
1
3
1
1
1
3
2
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
3
67
1
1
1
1
3
3
7
1
1
1
5
2
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
2
5
2
2
1
1
1
1
1
1
1
1
3
2
4
1
1
1
1
1
3
1
1
1
2
1
2
3
1
3
3
1
1
1
1
5
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
3
1
72
1
1
1
1
1
1
1
1
1
1
36
1
1
1
1
1
3
1
1
3
1
1
2
2
2
1
1
1
1
2
2
1
1
1
3
7
1
1
1
1
2
1
1
1
1
4
3
3
13
1
1
9
1
1
1
1
1
7
1
1
1
3
1
1
1
3
1
3
1
1
10
4
1
1
3
2
1
1
2
1
1
1
1
2
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
59
1
2
1
2
3
3
1
3
3
3
1
1
3
7
1
1
1
5
1
3
1
1
6
1
2
3
2
4
1
1
2
1
5
1
1
3
1
5
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
21
1
3
1
5
5
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
7
31
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
3
3
2
1
3
3
1
1
3
3
3
1
3
3
1
1
1
2
1
2
2
1
7
1
9
5
2
1
1
1
1
1
1
1
1
3
1
1
2
2
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
28
1
1
5
1
5
3
1
3
3
1
1
3
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
2
3
1
1
3
2
1
3
1
1
11
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
7
2
2
3
1
3
4
1
3
3
1
3
1
5
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
429
3
1
1
1
5
1
1
2
1
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
4
11
1
1
1
1
1
1
1
2
13
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
3
1
1
9
6
1
1
1
1
4
2
1
1
3
13
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
5
1
1
3
7
3
1
3
1
1
2
1
1
2
1
1
2
1
2
5
1
1
3
9
1
1
1
1
5
1
2
3
1
3
3
3
1
1
1
1
1
1
1
2
1
1
1
1
3
1
3
2
1
1
1
1
1
2
9
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
32
1
1
1
2
11
1
2
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
3
1
3
3
3
1
7
4
2
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
1
1
7
1
5
1
8
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
2
1
3
5
3
1
3
3
1
4
3
2
1
1
1
1
2
1
1
1
3
1
1
3
1
3
1
1
2
1
2
1
1
3
1
2
1
3
1
3
11
1
1
1
1
3
1
1
1
1
3
1
1
1
3
2
1
1
3
1
2
3
1
3
1
1
3
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
2
2
3
1
9
1
1
1
3
3
1
1
1
1
1
2
4
1
1
1
1
2
1
1
1
1
2
2
2
5
1
1
3
1
1
1
3
2
1
1
5
1
3
3
3
3
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
1
1
1
3
5
1
1
1
1
3
1
3
1
1
1
1
1
3
1
3
1
1
1
2
1
3
5
1
1
1
4
2
2
1
1
5
1
1
1
1
1
3
6
7
1
1
1
3
3
1
1
1
1
7
1
2
3
3
3
1
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
2
3
4
1
1
1
1
2
3
1
7
1
2
1
1
2
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
3
1
1
11
13
1
1
1
1
1
1
1
2
1
3
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
4
1
1
5
2
3
1
1
3
1
2
1
1
1
5
2
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
5
1
1
1
1
3
5
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
2
3
1
1
1
1
1
3
1
3
1
3
1
1
1
3
9
1
1
1
1
5
1
2
1
3
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
3
1
1
1
1
1
5
9
1
3
1
3
3
1
1
11
1
3
2
1
1
223
1
1
1
2
2
2
5
4
3
21
3
1
2
3
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
14
1
1
3
3
1
1
1
1
3
1
3
1
1
1
1
2
1
3
5
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
5
1
1
27
2
1
1
7
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
23
1
2
1
1
1
3
3
2
1
1
1
1
3
1
1
22
4
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
1
1
2
3
3
3
1
1
2
2
1
1
3
1
1
1
1
3
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
1
1
4
1
2
2
1
1
2
2
2
3
1
1
1
5
1
1
1
1
4
9
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
11
1
3
3
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
3
1
1
1
3
7
3
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
17
1
1
13
1
1
1
1
3
8
5
1
3
1
1
2
1
2
1
1
1
2
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
7
3
1
1
1
1
1
1
4
2
1
3
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
1
2
1
1
1
4
1
1
1
2
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
95
1
2
2
1
1
3
1
1
9
1
1
3
1
1
2
2
2
1
1
3
1
1
3
2
1
1
1
2
1
1
3
1
1
1
1
1
1
3
3
1
6
2
1
1
1
5
7
3
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
3
3
1
11
1
1
1
1
2
3
1
3
1
3
1
1
1
1
1
1
1
1
3
3
1
3
1
3
1
1
1
3
2
1
1
1
2
1
4
1
2
1
1
1
3
2
1
2
1
1
1
1
1
2
1
3
3
7
3
3
2
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
3
2
1
1
5
1
3
3
1
1
7
3
1
1
1
2
1
3
4
1
4
3
1
3
3
1
1
3
1
8
1
1
1
1
1
1
11
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
3
1
2
1
1
3
1
3
12
3
1
1
5
1
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
13
4
1
1
3
1
1
1
1
25
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
2
2
3
1
1
2
1
1
1
1
9
1
3
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
10
1
7
1
1
1
2
1
1
1
5
1
1
1
3
5
1
3
1
1
4
1
2
1
2
3
3
1
2
1
1
5
13
1
1
1
1
2
11
3
1
5
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
1
33
1
1
2
4
1
6
1
1
1
1
1
1
1
3
3
1
1
2
2
3
1
1
1
1
1
1
3
1
1
3
1
2
1
3
1
3
1
1
3
1
1
9
1
1
1
1
1
1
1
1
1
1
21
1
1
4
1
1
3
1
1
1
4
1
2
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
2
3
1
4
1
1
1
3
3
2
1
1
8
1
3
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
2
1
1
3
1
1
2
5
1
3
1
1
1
1
1
1
4
2
3
1
5
3
48
1
1
1
1
1
1
35
3
3
1
3
3
2
1
1
1
1
3
3
2
1
1
4
1
1
1
1
3
3
7
1
1
1
1
3
1
1
1
1
2
1
1
5
1
1
1
1
3
3
4
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
2
3
1
1
1
3
1
1
2
1
1
4
5
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
21
1
1
5
3
3
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
3
1
1
9
1
3
1
2
8
1
3
1
3
1
1
4
1
2
1
3
1
1
1
1
9
1
1
3
1
1
1
1
1
6
3
1
1
1
1
1
5
1
1
1
1
1
1
2
1
69
1
1
5
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
3
1
1
1
5
1
3
1
1
3
1
1
1
1
4
3
3
1
1
1
1
1
3
1
4
1
13
1
1
1
1
5
3
1
2
1
2
1
1
2
3
1
1
1
3
1
1
3
1
1
5
1
7
3
1
1
1
1
1
1
1
1
3
6
2
3
21
1
1
2
1
3
1
1
1
1
1
3
3
1
3
5
1
5
1
3
1
1
3
1
1
1
3
3
1
3
1
1
1
1
3
1
3
1
2
1
3
1
1
2
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
3
1
1
3
3
1
1
1
1
1
43
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
3
8
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
5
1
1
5
2
5
2
1
1
3
1
1
3
1
1
3
1
1
1
1
3
7
2
1
1
1
3
1
3
25
1
1
3
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
2
1
2
2
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
3
3
1
1
7
1
2
1
1
1
1
1
1
1
1
9
1
1
3
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
2
1
7
4
3
9
1
2
3
1
3
1
2
3
1
1
1
5
1
3
7
1
1
3
3
2
1
1
1
1
1
1
1
2
1
1
1
3
3
2
1
1
1
1
1
3
1
3
3
3
1
3
1
1
3
3
1
1
1
1
1
3
1
13
1
3
1
2
5
3
1
3
2
48
2
1
3
7
3
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
5
1
1
202
1
1
9
1
1
1
1
1
1
1
5
1
1
3
3
1
1
13
1
1
1
1
1
3
7
1
1
1
1
7
1
1
3
1
1
1
1
1
3
1
3
2
1
1
1
2
5
1
1
1
1
2
1
5
16
1
1
1
1
1
3
3
1
1
1
1
2
1
5
4
1
1
1
19
1
1
1
1
1
3
1
4
1
1
1
3
3
4
2
1
1
3
1
1
1
1
2
1
1
1
1
1
3
2
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
13
1
3
1
7
1
1
11
2
2
6
1
3
5
1
1
1
3
1
1
2
3
1
1
2
1
1
1
1
3
3
1
15
3
3
2
1
1
1
1
5
1
1
1
1
97
3
2
1
1
1
1
3
3
1
1
1
4
1
5
2
9
1
1
1
2
1
5
1
1
1
1
1
4
1
2
3
1
1
1
1
1
1
2
1
1
5
1
1
1
5
1
1
3
1
1
1
3
3
1
1
3
2
1
1
1
1
2
19
1
1
1
1
3
1
1
1
3
1
3
1
1
42
1
1
1
1
1
1
1
1
1
1
1
1
38
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
8
1
1
1
1
1
3
1
1
1
5
1
3
1
3
1
1
3
1
3
1
1
1
1
1
3
3
2
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
3
2
1
1
1
1
1
35
2
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
5
3
1
1
3
1
1
1
5
1
1
1
3
4
2
1
1
1
1
1
1
1
1
2
5
3
3
1
3
1
1
1
35
1
1
1
1
1
1
7
1
18
56
1
1
1
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
4
1
1
1
1
2
1
1
1
5
1
3
3
2
1
1
1
1
1
2
1
3
3
1
1
1
5
1
4
1
1
1
4
1
2
1
1
1
1
1
1
1
3
1
1
3
3
1
4
1
3
1
4
1
1
3
2
1
1
1
3
3
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
5
1
1
2
1
1
3
3
1
1
3
1
1
4
1
5
1
5
4
1
3
3
1
1
1
1
2
1
1
1
1
53
3
1
1
3
1
1
1
1
1
2
3
1
1
1
1
3
3
1
1
1
6
2
1
3
1
1
2
1
1
3
1
1
1
1
1
3
3
3
1
1
4
2
1
1
1
2
1
1
5
7
1
3
23
1
1
1
1
1
1
2
1
5
1
1
7
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
9
1
1
1
5
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
2
1
1
1
1
5
1
3
1
3
1
1
3
1
1
1
1
1
3
1
3
3
1
2
5
1
1
3
3
3
3
1
7
1
2
3
1
4
1
1
1
1
1
1
2
1
1
5
3
3
1
3
3
1
1
1
24
1
2
1
1
1
5
1
3
1
1
3
1
2
1
1
1
1
2
1
1
5
3
1
3
1
1
3
29
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
3
1
5
9
1
1
1
3
1
47
1
1
1
1
1
1
1
1
3
3
1
1
1
1
175
1
3
1
3
2
1
2
5
2
1
1
2
1
1
2
5
3
3
5
1
1
2
1
2
1
15
65
1
1
1
1
1
1
3
7
2
1
11
2
13
1
1
3
3
3
1
3
5
1
1
1
1
1
1
2
3
1
1
1
1
1
68
1
1
1
3
1
3
1
1
3
2
1
3
3
1
1
1
1
1
3
3
3
1
1
1
3
1
1
4
3
1
2
1
1
1
1
1
1
2
1
3
1
1
1
5
1
1
3
1
2
2
1
1
3
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
1
3
3
1
1
1
1
1
3
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
2
1
1
5
1
5
3
1
1
1
1
7
3
1
1
3
3
2
3
3
1
1
1
2
3
2
1
1
2
3
1
1
2
1
3
4
4
1
1
1
2
7
2
3
1
3
3
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
9
3
3
1
3
1
1
1
2
1
3
2
1
5
1
11
1
1
1
1
1
3
1
3
1
1
1
1
1
3
3
1
9
1
3
3
1
1
3
1
1
2
1
3
1
10
4
1
1
1
1
3
1
3
2
1
1
3
1
1
1
2
3
5
1
1
1
3
3
1
1
1
1
1
5
2
3
1
5
3
1
1
3
1
1
3
1
2
11
1
3
1
3
1
1
3
3
3
1
1
10
4
1
10
1
1
1
2
2
1
1
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
1
19
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
4
1
6
1
2
2
1
1
2
3
1
3
1
3
2
1
1
3
3
1
1
1
3
1
1
6
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
7
1
2
1
1
1
3
1
1
1
3
1
3
3
2
1
3
15
1
1
1
1
3
9
1
1
5
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
7
1
1
1
1
3
1
3
3
1
5
8
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
5
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
69
1
1
25
3
3
3
1
1
3
1
1
1
1
5
19
3
2
3
3
2
2
5
1
2
3
1
1
1
1
1
5
2
1
1
1
3
2
75
1
1
1
1
3
1
3
1
1
1
1
3
1
1
2
3
3
6
2
13
1
13
3
3
1
3
1
1
5
5
1
1
1
1
1
13
1
1
1
1
2
3
1
3
1
2
7
1
1
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
2
1
1
13
1
1
1
1
3
3
3
1
2
1
1
1
2
1
3
2
2
1
3
1
3
2
1
7
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
31
1
1
1
1
7
1
3
1
1
1
3
3
2
1
1
3
3
1
1
3
2
1
3
1
1
31
1
1
1
1
1
1
1
1
2
3
1
3
1
11
3
1
3
1
1
1
1
2
1
1
1
7
1
3
1
1
17
1
2
2
2
1
1
1
1
1
4
3
2
1
1
1
1
1
1
23
1
2
1
5
1
1
1
1
3
1
1
1
1
31
1
1
1
1
1
3
1
5
1
2
1
1
1
3
1
1
1
5
3
1
1
8
2
1
2
1
1
3
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
3
1
9
1
4
1
1
335
5
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
11
1
1
1
3
4
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
3
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
5
1
3
2
3
3
15
1
1
1
1
1
5
6
1
1
1
1
3
3
1
1
3
1
3
3
2
1
1
1
3
3
1
1
1
1
3
5
1
2
1
2
2
2
1
1
23
3
1
1
1
1
3
1
1
1
1
1
3
1
3
3
3
1
1
1
2
3
1
1
1
2
3
1
3
1
7
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
25
1
3
1
19
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
3
3
1
3
1
3
3
1
2
1
1
1
3
1
3
3
4
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
4
1
3
1
1
1
5
1
11
3
1
1
2
2
1
3
3
1
1
1
1
1
2
2
3
7
1
27
3
5
7
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
2
1
1
1
3
1
3
1
1
1
5
10
145
1
2
1
10
1
1
1
3
1
2
2
1
1
1
2
1
1
1
1
1
2
9
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
1
2
3
1
5
1
1
3
10
1
1
1
3
1
1
5
1
1
3
3
1
1
1
3
1
3
1
1
2
1
3
1
1
1
1
1
3
1
1
1
4
1
2
1
3
1
1
5
2
1
3
11
1
1
1
1
3
1
1
1
1
7
1
3
1
1
1
6
1
1
1
1
1
2
2
3
17
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
4
1
1
4
1
1
2
1
1
1
1
1
1
1
2
3
2
3
2
1
2
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
19
1
3
5
1
1
3
1
6
1
1
1
1
1
1
5
1
3
1
3
1
1
1
2
1
1
1
1
3
1
5
3
3
1
2
1
1
1
3
1
5
1
1
1
24
3
1
1
3
2
1
1
2
1
2
5
1
2
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
2
1
3
1
1
1
1
2
1
1
3
5
8
1
1
1
13
1
13
1
1
1
1
1
1
1
1
15
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
12
5
5
3
1
1
3
3
2
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
2
1
1
1
33
2
1
1
1
1
1
1
1
1
2
2
3
2
1
1
1
1
3
2
1
1
1
2
7
1
1
3
1
1
1
5
1
1
1
5
1
3
1
2
1
1
1
1
1
3
1
3
3
1
6
83
1
1
1
3
1
1
12
3
4
1
3
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
3
1
1
4
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
5
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
5
2
3
1
3
2
1
1
5
1
2
1
2
1
1
4
3
7
2
1
1
1
3
2
7
5
2
1
3
1
3
1
1
1
1
1
3
1
2
1
1
1
3
3
1
8
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
4
3
1
3
1
2
1
2
1
1
4
3
1
1
1
1
1
2
1
1
1
1
34
1
1
3
1
3
1
3
1
7
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
2
3
1
3
1
3
1
3
1
3
1
1
1
1
1
1
4
1
1
1
2
1
1
3
1
1
3
1
1
2
1
2
3
5
1
1
1
1
1
1
2
1
2
2
1
1
3
3
1
1
1
1
1
4
1
2
1
3
1
3
3
3
4
1
1
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
1
1
5
3
1
2
1
1
3
1
8
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
1
3
2
1
1
1
3
1
1
3
1
3
2
19
2
3
3
1
1
3
1
4
1
1
1
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
2
1
5
3
1
1
1
3
2
1
4
1
3
3
3
1
1
1
1
3
1
1
2
1
3
2
1
1
1
1
7
1
1
1
1
1
1
4
2
3
1
1
4
1
2
1
3
1
1
2
3
2
5
3
1
3
3
1
3
1
3
1
1
13
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
3
1
3
1
3
1
1
2
3
2
3
1
3
1
1
1
1
2
1
1
2
1
3
5
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
3
2
3
1
2
1
3
3
1
3
5
1
1
2
1
1
5
1
3
5
1
2
1
2
3
1
1
1
3
1
2
1
1
3
1
1
1
1
3
3
1
1
3
61
16
3
1
1
1
1
2
1
3
1
1
1
1
1
1
1
3
9
1
1
1
3
1
5
1
1
3
1
1
1
2
1
1
1
1
1
5
7
3
1
1
1
1
1
1
5
1
1
3
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
3
29
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
5
1
1
1
1
1
1
1
1
4
1
3
3
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
2
3
3
1
1
3
1
5
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
5
1
2
3
1
5
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
2
5
1
57
3
1
2
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
2
3
1
1
3
1
3
3
3
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
1
1
1
2
1
1
3
1
3
2
2
3
3
1
1
3
19
1
1
3
22
1
4
1
6
2
2
1
1
2
1
2
1
1
1
1
1
1
8
1
3
3
1
1
1
1
3
1
1
2
54
1
1
1
4
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
1
1
5
3
1
3
2
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
3
1
2
1
1
1
3
8
1
1
1
3
1
1
2
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
3
2
1
1
1
1
3
3
1
1
1
1
5
1
1
1
1
3
1
3
2
1
1
3
1
4
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
3
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
3
3
1
3
3
1
5
1
1
1
17
3
5
1
2
3
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
3
2
1
1
1
2
1
1
1
3
1
1
2
1
2
3
2
1
1
1
1
1
1
2
1
1
2
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
2
3
5
1
1
1
25
1
1
1
5
8
1
3
1
3
1
1
1
7
17
2
3
2
1
3
1
5
29
3
1
1
3
1
1
1
1
1
1
55
2
3
1
1
1
1
5
1
2
3
1
3
1
1
1
2
1
3
1
1
1
2
1
3
1
3
1
2
1
1
3
1
3
1
1
3
1
2
3
3
1
1
1
1
2
1
1
1
1
1
2
1
3
1
3
1
3
3
2
3
1
1
1
10
3
1
1
1
5
5
2
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
5
2
3
1
2
3
1
1
3
1
7
1
1
3
1
2
1
1
1
1
1
3
1
7
1
5
1
1
1
1
1
3
1
1
2
1
3
3
1
1
3
1
1
1
7
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
2
1
1
7
1
3
1
1
1
1
1
7
5
5
1
1
1
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
3
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
3
1
2
2
6
1
1
2
1
2
3
1
1
1
3
3
1
5
1
1
3
1
3
2
1
1
2
3
1
1
3
1
1
1
1
7
1
3
1
3
1
1
1
1
1
3
1
1
2
2
2
2
1
1
3
2
1
1
1
1
3
1
2
1
1
3
2
1
4
1
1
1
1
1
1
1
2
3
1
1
1
4
1
1
1
1
1
1
2
3
1
1
1
1
1
5
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
5
1
5
3
1
2
2
3
1
1
3
1
2
1
3
1
1
1
7
5
3
1
2
1
3
1
1
3
9
3
1
1
1
1
3
1
3
3
3
1
1
1
1
1
3
1
1
27
2
1
1
1
2
3
1
1
1
3
2
8
1
1
2
13
3
1
2
1
1
1
1
1
4
3
1
1
2
1
1
3
1
1
1
1
1
1
29
3
1
1
1
3
1
1
1
1
17
1
7
3
1
1
2
1
1
3
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
2
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
3
3
1
5
1
1
2
1
1
1
3
1
1
1
5
9
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
2
4
1
1
1
1
3
3
1
1
5
3
3
1
1
2
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
3
3
1
1
1
1
3
1
1
1
1
4
1
1
1
1
3
1
2
3
2
2
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
3
1
3
3
3
2
1
3
1
3
3
1
1
1
1
1
3
1
1
2
2
1
1
2
4
3
1
1
1
1
1
4
1
2
1
1
10
5
1
3
1
2
2
1
2
1
2
2
7
1
3
2
1
1
32
2
1
1
3
1
3
20
1
1
3
1
1
1
1
4
1
5
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
33
1
5
3
1
1
1
3
1
1
5
1
1
3
1
1
1
1
1
1
5
1
1
3
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
9
1
1
1
3
1
1
1
5
1
1
3
1
7
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
4
1
3
1
5
1
3
1
5
5
1
7
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
3
1
1
1
3
1
1
13
1
3
1
1
1
5
3
1
2
3
1
1
1
1
1
3
2
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
3
1
2
2
1
1
1
1
5
1
1
1
5
1
1
1
1
1
1
5
1
1
2
3
1
1
1
1
1
3
1
5
1
1
1
1
2
9
1
1
1
2
1
1
5
2
1
1
1
1
1
3
1
1
1
3
1
3
1
1
2
1
3
1
2
1
1
1
1
3
2
2
1
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
3
1
3
3
3
1
1
3
1
11
11
2
2
1
3
1
1
2
1
1
3
3
1
1
1
1
1
3
1
1
3
1
5
1
13
1
3
5
1
1
1
1
1
3
3
3
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
2
1
1
4
1
1
3
1
1
1
1
1
1
2
3
1
9
1
1
2
3
2
3
1
1
2
1
1
1
33
1
1
3
3
3
2
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
3
9
3
1
1
1
5
1
1
1
1
1
1
3
1
1
3
3
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
3
1
1
1
3
8
1
2
1
1
1
1
1
3
3
1
1
15
1
1
1
1
1
1
1
3
3
1
1
1
1
369
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
3
1
3
3
1
4
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
5
1
7
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
3
1
1
1
7
1
1
3
3
3
3
3
3
3
2
3
1
1
3
1
3
1
2
1
1
1
1
3
1
1
3
1
1
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
8
2
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
91
2
1
1
5
3
3
1
5
1
1
1
1
1
1
1
5
1
1
2
1
1
1
2
1
1
3
1
1
3
1
1
1
2
1
1
3
1
3
1
16
3
3
1
1
1
1
3
3
1
1
2
2
1
5
3
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
22
1
1
1
1
3
1
3
5
3
1
1
1
5
3
1
1
1
1
1
1
1
1
34
1
1
3
3
1
4
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
2
1
3
1
1
4
1
1
1
1
3
3
1
3
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
2
2
2
1
2
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
8
2
5
1
1
5
3
3
1
1
1
1
1
7
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
3
5
1
1
1
2
1
3
1
1
3
1
1
1
8
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
11
1
4
3
1
1
1
3
1
1
2
10
1
3
1
1
1
1
3
1
1
1
3
1
1
3
1
1
4
1
1
1
1
1
3
3
1
1
1
1
3
1
2
3
1
1
1
1
27
1
2
1
1
1
4
1
1
7
2
1
1
1
17
1
1
1
1
1
3
3
3
5
1
1
1
3
2
1
3
3
1
1
1
1
4
1
1
1
3
1
4
1
1
1
3
1
1
1
3
3
1
1
1
2
1
3
1
1
1
2
1
1
1
5
1
1
3
1
1
1
2
1
2
2
15
1
3
1
20
2
5
7
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
4
1
2
1
1
1
2
4
1
1
1
1
1
3
3
3
1
2
3
1
1
1
1
1
3
3
2
2
1
1
3
1
1
1
1
3
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
5
1
1
1
10
2
4
1
1
23
1
1
3
11
3
4
1
1
3
1
1
3
3
3
1
5
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
2
1
5
1
3
2
1
3
5
6
1
1
1
1
1
2
1
3
1
1
1
4
1
1
1
2
1
1
16
1
1
1
1
1
3
1
1
1
3
49
1
3
1
1
2
1
1
2
1
1
5
7
2
1
1
3
3
1
1
1
23
1
1
1
1
1
1
7
1
1
2
1
1
1
1
5
3
3
1
1
1
1
1
1
2
5
1
1
1
1
1
45
1
2
1
1
2
1
1
1
1
2
9
3
9
1
1
1
1
1
1
7
1
1
3
1
1
1
2
1
1
1
2
2
2
1
7
3
1
1
1
1
1
1
1
2
1
1
5
1
1
1
5
3
1
1
1
1
1
1
1
3
4
3
4
3
3
1
1
1
1
2
1
2
1
7
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
2
3
1
1
1
3
13
3
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
15
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
3
23
1
3
14
1
1
1
1
1
1
3
2
1
3
5
1
1
5
3
1
1
1
1
1
6
1
1
3
1
1
4
1
1
1
1
1
45
1
3
1
3
1
3
1
2
3
1
2
3
1
3
1
1
1
1
3
2
1
3
1
1
1
1
1
5
1
17
5
1
1
5
3
1
3
1
1
2
1
9
1
1
3
1
1
1
3
1
3
3
1
1
1
11
1
1
1
1
1
4
1
1
4
1
2
1
3
1
2
2
3
1
3
1
1
1
1
3
3
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
65
1
1
1
1
2
1
1
3
1
3
1
3
1
1
1
3
1
1
3
7
3
3
2
1
3
2
3
1
1
1
1
4
11
2
1
1
1
1
1
3
3
3
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
7
1
1
1
9
1
1
1
3
9
1
1
2
1
84
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
5
1
3
1
1
2
1
5
1
1
2
3
1
1
2
1
1
1
1
1
1
1
2
1
5
1
1
2
2
1
1
3
1
3
5
3
1
1
4
1
1
9
2
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
3
2
1
4
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
4
1
3
4
1
3
2
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
51
1
1
9
1
3
3
1
1
1
3
7
1
1
1
2
1
1
1
1
1
1
3
2
1
1
1
3
1
3
1
3
3
2
2
3
1
3
2
3
1
1
1
2
1
1
1
3
1
1
1
3
1
1
3
1
2
1
2
4
2
7
50
2
1
1
1
3
2
1
1
1
33
1
1
1
16
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
2
1
1
2
1
5
1
1
1
2
8
1
1
2
1
5
1
1
1
1
5
1
1
2
1
1
2
2
16
3
1
2
1
1
16
1
1
2
1
1
1
1
3
1
2
1
2
3
1
5
109
1
1
1
1
3
13
1
3
3
1
3
1
1
2
1
1
1
1
3
1
1
1
7
2
1
9
3
1
3
1
3
3
5
1
3
1
3
1
1
2
1
3
1
1
1
1
1
1
3
1
3
1
2
1
7
1
3
1
2
1
1
1
1
3
1
1
2
3
1
1
1
1
1
3
1
1
5
1
1
3
1
3
3
11
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
10
1
1
1
56
1
2
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
25
1
2
2
1
1
23
2
1
1
3
1
3
3
1
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
5
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
2
2
1
4
3
3
1
1
1
1
1
1
1
2
1
7
3
1
3
3
2
1
14
3
35
3
1
1
3
3
1
1
1
4
1
2
3
1
2
1
1
1
3
1
1
1
1
1
14
1
1
1
1
3
3
1
1
1
1
2
3
3
3
3
1
1
2
3
3
3
2
3
3
1
1
3
7
1
1
3
1
5
1
1
3
2
3
1
1
1
1
1
3
1
3
1
5
1
3
3
1
1
1
3
1
2
3
5
89
1
2
1
1
5
1
5
1
3
1
1
11
1
21
1
1
1
3
1
1
1
3
2
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
82
2
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
5
2
1
4
1
3
1
1
1
3
1
2
1
1
2
1
1
5
1
1
1
1
1
1
1
7
1
1
3
1
1
1
2
1
1
1
1
2
3
3
1
1
3
2
1
1
1
3
1
1
1
1
1
5
3
65
5
3
1
5
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
3
1
1
5
1
1
1
1
3
1
3
1
2
1
1
1
5
3
2
1
1
1
1
1
1
3
1
5
2
1
2
3
2
1
1
1
1
1
1
1
1
3
2
1
5
1
2
1
1
1
1
1
1
5
3
2
1
1
3
1
1
3
1
1
1
3
1
1
1
5
1
1
3
3
1
1
3
1
1
1
1
1
1
3
5
15
1
1
3
3
1
1
9
1
1
1
2
1
1
1
2
3
1
1
1
3
3
1
3
1
1
7
1
1
2
2
1
2
1
1
3
1
1
1
1
1
3
1
8
1
1
19
3
4
2
2
1
1
3
1
1
3
1
3
1
3
1
1
2
1
1
3
1
1
1
1
2
3
2
3
1
1
1
3
3
1
1
1
3
2
1
1
1
1
7
2
1
1
1
2
2
3
1
1
1
3
4
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
2
1
1
1
1
10
3
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
7
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
5
7
1
2
1
1
1
7
1
9
7
3
1
1
12
1
1
3
2
3
1
3
3
7
1
1
1
1
2
3
4
1
2
1
2
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
11
1
1
1
2
2
3
3
43
1
1
1
3
1
1
1
1
3
1
1
7
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
3
1
1
3
3
3
3
1
1
3
1
3
1
5
1
3
5
1
3
2
2
2
1
1
1
1
1
2
2
2
3
1
1
1
2
5
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
3
2
1
1
3
1
1
1
17
1
1
1
1
1
1
1
1
3
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
2
3
1
1
1
1
1
5
1
2
1
3
1
1
2
1
1
1
1
3
3
1
3
1
1
1
9
1
3
3
1
1
3
2
1
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
3
1
3
1
1
3
1
1
1
3
1
1
9
1
2
3
1
1
1
5
3
1
1
1
1
1
3
3
2
1
1
3
1
23
1
7
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
5
1
1
1
1
3
1
21
3
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
3
2
13
3
1
1
1
2
1
1
1
3
1
1
1
1
1
5
2
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
3
1
1
1
13
3
1
3
1
1
2
1
1
1
3
3
1
1
13
1
1
2
1
1
1
4
7
1
3
1
1
2
2
1
3
3
2
1
11
1
1
1
3
3
1
1
5
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
3
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
6
1
3
1
3
1
56
2
3
1
1
1
1
3
1
3
3
1
1
1
1
2
3
1
1
1
2
1
1
1
1
4
1
3
1
2
1
3
1
2
7
2
1
2
1
1
2
1
1
1
1
3
1
2
1
3
2
3
3
2
2
1
2
1
11
1
1
1
1
1
3
1
1
1
1
4
1
2
1
5
1
3
1
4
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
2
1
98
4
1
1
3
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
2
3
2
1
1
6
1
1
1
1
1
3
3
1
1
3
1
1
2
1
1
3
1
1
1
15
1
2
3
3
2
1
1
1
1
1
1
1
1
3
1
3
1
1
3
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
9
1
1
1
3
1
3
1
1
3
1
1
2
1
1
3
1
3
1
1
1
1
1
4
1
1
1
3
1
1
1
1
11
1
1
1
3
1
1
2
1
1
6
1
1
1
2
1
3
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
2
1
2
2
1
1
1
1
2
1
4
2
3
1
1
1
1
1
1
3
2
1
1
4
1
1
1
6
1
9
1
2
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
13
3
3
1
1
1
3
1
1
1
1
2
1
1
7
1
1
1
3
1
1
3
1
1
2
1
1
1
2
1
15
3
1
2
1
23
1
1
3
3
1
1
1
1
1
1
2
1
1
4
3
3
1
2
3
1
3
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
14
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
2
1
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
11
1
5
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
3
3
1
3
2
2
2
1
33
3
2
1
1
1
1
1
1
1
13
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
3
1
1
5
1
3
1
1
1
2
1
1
4
1
1
3
1
1
1
1
1
1
5
3
2
1
1
3
1
2
1
1
7
3
1
19
2
1
1
1
1
1
7
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
2
1
1
3
1
3
3
1
1
1
4
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
5
12
1
1
3
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
7
1
1
1
1
3
1
3
1
8
1
1
3
1
3
1
1
1
5
1
4
1
1
1
9
1
1
1
1
2
1
1
2
4
2
2
2
1
1
1
3
1
1
1
1
2
5
1
1
1
1
3
1
1
1
3
1
1
2
3
3
1
3
38
7
3
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
25
2
1
2
1
3
3
1
8
3
3
1
1
1
3
2
5
91
1
2
1
1
3
1
1
3
1
1
69
1
1
1
1
2
3
5
1
1
1
3
1
3
1
1
1
1
1
1
1
1
17
1
1
2
3
1
141
1
1
1
1
1
1
2
2
1
2
2
3
4
2
3
1
3
1
1
2
1
1
2
1
1
1
1
5
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
17
1
3
1
2
1
3
3
9
5
3
1
1
1
2
2
2
1
31
1
2
3
1
3
1
1
6
1
1
1
1
1
1
1
1
1
1
6
303
1
1
1
1
2
1
1
1
3
1
1
3
1
1
3
3
4
1
1
3
3
2
1
1
15
3
1
1
3
3
1
1
1
5
3
1
2
1
1
1
3
1
3
2
1
1
3
1
1
2
1
1
1
1
1
5
1
2
3
1
1
3
1
3
1
2
1
1
1
1
2
1
515
1
1
1
1
1
9
2
1
1
1
3
1
3
1
1
1
2
3
3
1
1
3
1
3
1
1
1
1
3
1
1
3
1
2
1
1
1
5
1
1
3
2
1
3
1
7
1
3
1
1
1
1
3
1
3
3
1
1
2
7
11
3
7
3
1
3
1
1
5
1
3
1
1
63
1
1
1
1
1
1
2
1
1
3
1
3
1
2
65
1
1
1
3
1
3
1
1
1
1
1
1
1
1
2
1
3
2
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
3
1
1
13
3
1
1
1
1
1
1
3
1
3
2
1
3
2
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
31
1
3
4
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
10
1
1
1
4
3
1
1
1
1
1
3
1
3
3
1
3
1
3
1
503
1
1
1
1
1
3
1
1
1
1
1
2
4
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
2
1
3
3
1
1
2
1
3
1
37
1
3
1
1
3
1
1
1
1
1
1
1
2
1
2
1
5
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
1
2
1
1
1
1
1
3
1
1
5
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
4
1
5
1
1
1
1
3
1
7
5
6
2
1
1
1
1
1
1
1
1
1
3
3
1
1
3
5
3
1
3
1
3
5
24
1
13
1
7
1
1
1
1
1
1
1
1
3
1
2
3
1
4
2
1
1
1
3
2
1
1
1
1
1
1
2
3
1
1
1
1
2
1
1
5
3
1
14
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
5
2
171
1
1
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
5
1
3
1
1
5
1
3
1
1
1
1
1
3
1
5
2
1
1
3
1
2
2
3
1
1
3
1
1
2
3
1
3
5
1
1
1
1
1
60
2
2
1
3
2
1
1
2
1
11
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
7
1
9
17
7
1
1
1
1
1
1
29
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
5
1
1
3
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
7
2
2
1
1
1
1
1
1
4
1
3
1
2
1
3
1
1
1
1
3
1
1
2
3
1
1
2
1
1
2
1
1
3
3
5
2
2
1
1
1
1
1
1
1
1
5
2
3
1
2
1
1
1
1
3
2
1
3
1
1
1
2
1
1
1
2
1
1
1
1
9
1
1
1
2
1
3
2
11
7
1
1
1
1
1
1
1
2
2
3
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
7
3
2
1
1
1
3
1
3
1
1
3
1
3
3
1
1
1
1
8
5
1
1
1
2
2
2
1
1
1
4
1
3
5
1
1
1
3
2
3
1
3
1
5
5
1
1
1
1
1
3
2
2
1
1
11
1
1
1
1
2
1
107
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
9
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
3
1
3
1
5
1
1
1
3
1
1
5
4
1
1
3
1
1
2
1
1
1
3
3
1
3
5
3
1
1
1
1
1
1
1
1
1
7
1
1
1
2
1
1
1
3
1
1
1
6
1
1
1
1
1
1
1
3
2
1
1
2
1
1
2
1
1
1
1
3
2
1
1
3
1
7
1
2
1
17
4
1
1
1
1
1
3
1
1
1
1
3
1
3
3
1
1
3
1
1
3
1
1
4
2
1
3
2
3
2
1
1
1
1
3
3
5
5
1
1
1
4
1
1
180
1
1
13
1
1
1
1
1
1
1
3
1
3
63
3
1
1
21
1
1
1
1
3
1
5
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
13
1
1
1
3
1
12
1
1
1
1
1
3
1
1
3
1
3
1
1
5
1
1
2
5
1
1
1
11
5
7
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
7
1
1
4
1
1
3
3
1
1
1
1
1
3
1
1
2
1
5
1
3
3
3
1
1
2
3
3
1
1
3
3
25
1
1
2
2
1
2
1
1
1
1
1
1
1
1
3
1
1
7
1
1
3
1
1
1
4
2
1
1
1
1
1
1
1
5
5
1
7
3
3
6
3
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
3
1
1
43
1
11
1
1
1
3
3
3
1
3
1
1
1
5
1
1
3
7
1
1
5
11
1
3
1
1
1
1
2
2
1
3
1
2
3
2
1
2
1
19
1
1
3
1
21
3
1
1
1
1
1
1
11
1
1
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
76
1
1
1
1
2
1
1
2
1
1
4
3
1
1
1
2
1
1
3
1
1
1
1
5
1
1
3
2
1
1
3
7
1
1
2
5
1
7
1
1
3
1
1
1
1
1
1
1
3
1
1
3
3
1
17
1
1
5
1
3
1
2
2
1
1
1
3
1
1
3
1
3
2
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
10
1
1
1
1
1
1
1
5
1
1
1
1
2
1
3
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
1
3
3
1
3
1
3
1
11
1
1
1
1
3
1
1
1
1
1
6
1
2
1
1
1
1
1
3
1
1
1
3
1
4
7
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
16
3
1
1
13
1
3
1
1
1
1
1
3
2
1
1
1
2
1
3
2
1
1
1
1
2
3
1
1
1
6
1
1
5
1
2
1
1
5
1
1
3
1
2
2
3
1
1
3
1
1
1
1
23
1
3
1
1
3
1
1
1
3
1
3
1
1
1
2
1
2
3
1
1
1
11
1
1
3
1
1
1
1
1
2
5
31
1
1
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
3
15
1
3
1
1
1
1
1
2
3
2
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
2
19
1
1
1
3
5
2
1
1
3
1
2
4
3
7
1
11
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
2
1
2
1
2
1
1
1
1
3
1
1
1
2
1
7
3
1
1
5
1
1
7
3
3
1
1
1
1
1
1
1
3
2
2
1
2
1
1
9
2
1
1
1
3
2
1
1
1
1
1
1
1
49
1
1
1
1
1
1
1
1
2
7
1
1
3
5
1
1
1
3
1
1
3
1
1
1
1
2
4
1
1
2
1
1
3
2
1
3
1
1
1
5
1
1
3
1
1
1
1
1
1
5
1
1
1
3
2
1
1
3
1
5
1
3
1
1
1
3
1
1
1
2
3
1
1
2
2
2
1
1
2
1
1
1
2
3
1
7
1
2
3
1
1
1
1
3
1
1
3
1
3
39
1
2
3
4
1
1
3
1
1
3
1
1
5
1
3
1
1
1
1
1
7
1
2
1
4
1
1
1
4
3
3
3
1
1
33
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
6
1
2
1
3
1
1
1
3
3
1
2
1
2
5
1
2
4
3
2
1
3
1
1
1
1
1
1
1
1
5
1
1
9
23
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
2
3
3
2
3
1
3
2
1
3
1
1
1
1
26
1
3
2
2
2
3
1
2
2
1
2
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
3
16
1
1
1
1
2
1
1
3
13
1
2
1
1
1
1
1
1
1
1
14
2
1
1
3
3
1
4
1
1
1
3
9
3
1
1
1
1
3
1
1
2
1
2
1
2
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
2
3
1
1
1
1
1
5
9
3
1
1
1
3
2
1
5
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
3
1
1
1
5
5
5
1
2
1
1
2
1
1
12
2
9
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
7
5
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
49
1
1
1
1
1
1
5
1
1
1
1
2
1
3
1
1
1
1
1
3
1
3
1
1
7
3
1
1
5
2
1
3
1
1
1
1
1
1
1
1
3
1
1
9
1
1
8
1
1
1
5
1
1
1
1
2
5
2
2
1
1
3
2
1
1
4
5
3
1
3
1
15
1
1
3
1
1
1
1
1
19
1
2
1
1
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
5
3
1
1
2
11
2
1
1
3
1
1
1
5
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
5
3
1
3
1
1
1
1
1
1
3
1
3
9
5
1
1
1
1
1
25
1
1
3
1
1
1
3
1
3
1
2
13
3
2
5
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
2
1
1
1
1
3
1
3
1
1
1
2
4
1
1
1
3
1
1
1
1
13
1
1
1
1
1
9
1
2
1
1
1
3
1
1
2
1
3
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
2
1
3
1
1
1
1
1
4
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
3
1
3
3
2
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
3
1
3
1
2
1
1
5
1
1
1
1
11
1
1
1
1
7
1
2
1
1
9
3
1
2
1
1
3
1
3
1
1
3
5
1
49
1
1
1
1
1
1
2
1
1
9
1
1
1
1
1
1
3
1
3
1
3
1
1
2
2
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
3
1
1
3
5
1
1
1
1
1
3
4
1
1
2
1
3
1
1
1
5
11
1
1
1
1
1
1
4
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
3
5
1
1
1
1
9
1
1
21
1
1
1
1
1
1
2
1
3
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
2
2
2
1
1
1
13
1
2
1
1
3
2
1
1
1
3
1
3
1
1
1
1
1
3
3
2
9
1
1
1
1
1
2
1
1
1
1
1
3
1
2
3
1
4
1
1
1
1
1
2
1
3
1
1
1
1
1
1
23
11
1
1
1
3
1
3
5
1
3
1
1
1
5
1
1
1
1
1
4
1
3
3
1
1
1
3
4
4
1
1
1
1
11
3
1
3
1
1
58
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
6
1
2
2
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
7
11
3
13
1
1
1
1
1
2
1
9
3
1
1
1
1
1
1
5
3
1
2
1
1
1
2
1
1
3
2
15
1
1
2
1
2
1
3
3
1
8
3
1
3
1
1
1
3
3
2
1
1
2
1
1
1
3
1
3
1
2
1
1
1
1
1
1
2
2
3
2
1
1
1
1
1
1
1
2
1
1
1
1
23
1
1
2
1
1
1
3
41
3
3
1
1
3
61
1
1
5
29
1
1
5
1
1
3
1
3
2
3
115
1
1
1
1
2
2
2
1
3
7
2
3
3
5
1
3
5
3
1
1
1
1
1
1
3
2
1
1
2
3
1
1
1
1
1
1
1
1
1
7
3
2
1
1
16
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
2
3
2
1
1
2
2
1
3
1
2
5
2
3
9
1
1
1
3
1
1
1
1
1
3
2
3
1
3
1
1
1
3
1
1
1
3
1
1
7
3
3
1
1
1
1
1
1
1
3
2
3
3
3
1
1
1
3
1
5
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
7
1
3
2
2
1
1
1
4
2
1
1
1
3
1
1
3
1
1
8
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
5
1
1
2
1
1
1
1
1
3
3
1
6
2
3
1
2
1
1
1
1
2
2
9
1
1
1
1
5
1
1
3
5
1
1
1
5
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
7
1
2
3
1
3
1
1
1
5
1
1
1
3
2
1
3
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
3
3
3
6
3
2
1
195
1
1
1
3
1
1
3
1
1
1
1
1
3
38
1
12
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
7
3
1
1
1
1
2
1
3
1
3
3
1
1
1
5
1
1
1
1
3
1
1
1
5
1
1
3
1
3
2
1
2
2
1
3
2
1
1
1
11
1
3
1
3
1
3
1
3
5
1
3
1
3
1
1
2
3
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
3
3
1
5
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
30
1
7
1
1
1
1
1
1
3
1
1
3
4
1
1
2
1
1
3
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
3
1
3
1
3
1
1
1
1
1
1
1
9
1
1
1
3
7
1
3
1
1
3
1
1
3
3
1
1
1
1
1
1
2
1
1
7
3
1
1
6
1
27
1
1
1
1
1
3
5
1
1
1
1
1
1
3
3
1
3
3
2
3
3
1
1
1
1
1
3
1
2
1
3
1
3
3
3
1
3
1
1
1
1
1
2
1
3
55
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
2
1
1
1
1
1
2
1
5
2
1
3
1
1
1
3
1
3
1
3
1
1
1
2
2
1
1
5
3
1
1
3
1
1
1
1
2
1
1
1
1
2
5
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
3
1
5
1
1
1
1
3
1
1
2
1
7
1
1
1
1
1
3
1
1
1
1
3
2
1
1
1
3
2
1
1
1
1
1
1
1
1
2
3
1
1
5
1
1
3
1
4
1
1
1
1
2
1
1
1
1
37
1
1
5
1
2
1
2
1
1
1
1
15
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
5
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
1
1
6
1
4
1
2
3
1
4
1
9
1
1
1
3
1
3
1
1
1
1
1
4
1
2
3
1
1
1
17
1
3
1
1
1
1
3
1
1
3
3
1
2
3
1
1
1
1
1
3
1
3
1
1
1
1
1
2
2
1
7
1
1
6
3
3
5
5
5
1
1
1
1
3
17
3
1
1
1
1
3
3
1
10
1
1
1
3
1
1
1
1
2
3
1
2
1
2
7
1
1
9
5
1
1
1
1
1
5
1
3
1
1
1
1
1
3
3
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
3
1
1
1
5
1
1
1
19
1
1
1
41
1
3
4
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
1
3
1
5
2
1
3
1
2
3
1
1
1
7
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
27
1
1
3
1
7
1
4
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
3
3
1
13
2
3
1
1
1
3
3
1
1
1
1
1
1
5
1
1
3
14
1
23
1
1
4
2
1
1
3
3
1
3
1
1
1
1
1
4
1
3
1
1
1
1
3
1
1
1
2
1
1
3
5
2
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
7
3
1
17
1
1
1
7
1
3
1
1
1
3
1
1
3
1
1
1
1
4
1
1
11
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
3
13
1
1
2
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
3
1
1
5
11
3
1
3
1
3
2
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
2
3
1
3
1
2
1
3
1
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
3
1
7
1
3
3
1
3
1
1
1
1
1
1
2
1
1
3
2
1
2
1
5
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
4
1
1
2
1
1
25
1
1
1
1
2
1
1
1
1
1
1
3
2
1
12
2
3
1
3
1
1
1
1
9
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
21
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
3
1
1
1
5
1
3
1
1
1
3
1
1
3
1
1
1
2
1
1
1
3
1
3
1
3
1
1
1
1
2
1
1
1
2
1
3
1
3
1
3
1
1
1
5
1
4
1
2
1
21
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
1
5
1
4
2
1
1
1
5
1
1
1
1
3
11
1
1
1
5
1
2
1
1
1
1
7
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
7
2
3
1
4
1
9
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
5
1
1
2
177
1
1
1
1
1
3
1
3
1
1
17
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
3
85
1
1
2
1
3
3
1
1
2
1
1
1
1
1
1
1
3
1
3
1
3
7
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
3
1
1
1
3
2
1
2
1
1
1
1
3
1
1
6
1
2
3
5
1
1
2
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
2
1
4
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
497
2
1
1
1
1
1
4
1
1
1
1
1
3
3
1
1
1
1
1
7
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
2
1
1
1
1
2
1
2
1
187
1
8
3
3
2
7
1
6
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
16
3
2
1
1
1
2
2
7
3
3
1
1
1
1
1
2
1
3
3
1
3
1
1
1
1
1
3
1
3
3
1
3
1
3
1
1
2
1
1
1
2
1
1
1
1
3
2
1
2
1
3
2
1
1
2
3
1
1
1
1
2
3
1
1
1
3
1
7
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
3
7
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
6
5
1
1
1
1
1
1
1
1
2
1
1
1
5
1
3
2
3
5
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
13
1
1
1
1
1
1
1
1
1
3
3
1
8
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
35
3
1
3
1
1
1
1
1
1
1
2
2
1
2
2
1
3
5
2
1
1
1
1
3
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
21
1
1
1
1
1
1
3
1
3
3
1
2
3
3
1
3
1
1
3
1
1
1
1
3
1
5
2
1
1
2
15
1
1
3
1
3
1
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
3
3
2
5
1
1
1
1
2
1
1
1
1
3
1
2
2
3
3
1
4
1
1
3
3
3
1
1
1
1
7
1
1
1
3
1
1
3
1
3
1
1
1
1
1
2
13
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
2
1
1
10
1
1
1
4
3
1
1
2
1
4
2
3
1
2
3
1
3
1
2
1
2
9
1
2
1
8
1
38
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
3
3
3
7
1
1
1
1
1
1
1
1
1
9
1
10
1
1
2
2
3
3
3
2
1
1
1
1
1
1
3
1
1
3
1
3
3
1
1
2
1
1
3
1
3
4
1
3
3
1
2
1
1
1
1
13
3
2
5
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
2
7
1
5
1
3
3
1
3
5
1
5
1
1
1
2
1
1
1
3
1
1
3
3
1
2
2
1
1
3
1
1
1
2
3
1
1
63
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
2
2
3
2
1
1
2
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
7
1
2
1
1
1
1
1
1
3
3
3
7
1
1
1
3
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
5
1
1
3
1
3
1
1
1
3
3
1
1
5
1
1
1
5
1
2
1
1
1
2
1
1
1
3
1
1
1
2
1
3
1
1
7
11
1
1
1
1
2
1
3
1
1
3
2
1
1
11
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
5
1
1
1
1
1
1
3
1
1
1
7
1
3
1
5
2
1
1
1
1
26
1
3
1
15
1
3
2
1
1
1
2
1
3
4
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
2
1
1
3
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
5
2
1
1
3
3
2
4
7
1
1
5
1
1
3
2
7
1
1
1
4
2
3
3
9
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
21
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
12
5
1
1
10
1
1
1
1
3
3
1
2
5
4
1
1
1
1
1
1
1
1
1
1
1
2
1
13
1
1
1
3
1
3
3
1
2
14
3
1
1
2
1
1
5
3
75
2
1
2
1
1
1
1
1
1
2
5
4
1
1
1
1
5
1
2
3
1
2
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
3
1
3
1
1
3
1
8
2
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
7
1
1
3
1
3
1
1
4
1
1
1
3
1
1
2
3
1
1
1
1
841
1
1
1
3
6
1
1
2
1
1
2
1
3
1
1
5
3
1
3
1
1
1
2
1
1
2
2
1
3
1
1
1
1
1
4
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
3
1
1
7
9
3
1
10
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
2
5
3
2
7
3
3
1
1
1
3
3
1
3
3
2
1
1
1
1
3
1
5
3
1
1
1
1
2
2
3
3
5
1
3
1
3
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
3
10
1
1
1
3
2
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
4
2
3
1
1
11
1
1
1
3
3
1
1
3
1
2
1
1
1
1
1
5
1
1
3
3
5
1
1
1
3
1
1
1
3
9
1
1
1
1
5
1
5
1
7
3
1
2
3
14
3
3
1
1
2
1
3
1
4
1
1
1
1
1
1
2
1
3
2
2
1
7
1
1
3
1
2
3
1
3
7
1
3
3
1
1
1
2
10
1
1
1
1
1
1
7
1
2
1
3
1
1
3
1
1
1
1
2
3
1
1
1
1
2
1
3
3
1
1
3
1
1
3
5
1
1
1
3
1
1
2
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
5
1
2
1
17
1
1
1
3
20
1
1
3
3
3
3
1
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
19
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
4
1
5
1
1
13
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
2
1
2
1
1
1
1
3
17
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
7
1
1
7
3
3
1
1
1
2
1
1
1
1
1
5
1
1
3
1
3
2
1
3
1
1
1
3
2
2
3
1
1
1
1
1
1
1
1
1
1
3
1
5
3
1
3
3
3
2
3
1
1
3
1
3
1
1
3
2
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
5
1
2
4
1
1
1
1
1
1
3
1
1
1
1
3
689
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
2
1
1
2
2
3
1
3
3
1
1
63
3
3
1
1
3
1
5
1
2
1
3
1
1
7
3
1
1
1
1
1
3
3
1
1
3
2
1
1
1
15
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
2
1
1
1
3
1
1
3
3
3
3
1
1
1
1
1
2
3
1
2
1
8
1
3
1
1
3
3
1
3
2
1
3
1
5
1
1
1
1
5
2
1
2
1
5
1
1
1
1
2
1
1
2
1
1
4
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
4
6
3
1
3
1
1
1
1
1
1
2
1
5
57
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
3
1
3
3
1
1
2
5
1
3
1
3
1
1
3
3
2
1
1
3
1
1
13
2
1
1
1
1
1
1
2
1
5
3
3
1
1
1
4
1
1
1
1
3
1
1
1
1
2
3
1
3
1
3
11
3
1
1
8
1
1
1
4
1
1
1
1
1
2
3
2
1
1
1
2
3
2
3
8
1
1
6
2
1
1
1
1
1
3
1
1
1
2
1
1
5
2
1
5
1
2
1
3
1
1
1
1
1
3
1
3
2
1
1
23
1
1
1
1
1
15
3
1
1
3
341
3
3
1
1
1
1
2
1
3
3
3
1
2
3
1
3
1
3
1
2
2
1
3
1
1
1
3
1
1
5
1
2
4
1
5
2
1
3
3
4
2
1
1
3
1
1
2
3
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
7
1
1
7
1
1
1
1
3
1
4
1
3
1
1
3
1
1
3
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
3
1
1
1
1
5
1
1
1
3
1
3
1
5
1
1
1
3
2
3
1
1
3
1
3
1
1
1
1
111
1
2
3
1
1
3
1
1
2
3
2
1
1
1
1
1
1
2
2
1
1
1
3
2
1
3
1
1
1
2
1
1
2
1
2
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
4
41
1
2
1
2
1
1
1
1
1
6
11
4
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
11
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
4
2
1
1
1
1
12
1
1
1
2
1
2
1
2
1
2
1
1
3
1
1
7
1
1
3
2
3
1
1
1
1
3
2
1
1
1
3
1
1
5
12
1
4
2
1
1
2
1
1
2
2
1
1
1
1
1
2
1
2
1
2
3
2
2
1
1
1
25
3
1
1
1
1
1
1
1
3
1
6
1
1
7
2
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
3
1
5
14
2
5
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
3
3
2
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
13
1
1
3
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
3
7
13
3
4
3
5
1
5
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
3
1
5
2
1
1
3
1
1
3
2
2
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
3
1
2
1
1
155
1
1
3
1
5
1
1
3
5
1
3
17
3
66
1
1
3
3
1
3
9
1
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
1
1
2
3
1
25
2
1
1
1
1
1
1
1
1
1
1
1
3
137
1
25
1
1
1
1
1
1
1
1
1
1
1
21
3
3
1
1
2
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
3
1
1
1
3
1
3
1
3
2
5
1
3
1
63
23
1
1
5
1
3
1
1
3
1
1
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
1
3
1
1
3
3
1
3
3
3
1
2
1
1
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
5
2
1
1
3
1
3
7
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
3
9
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
2
1
1
3
1
1
2
1
2
1
3
1
3
1
1
1
1
1
1
1
1
3
1
2
1
5
2
1
1
1
1
1
3
1
1
1
2
2
1
1
3
3
1
1
1
2
1
5
2
1
1
1
1
1
1
1
2
1
6
2
3
3
1
3
1
1
1
1
5
1
1
1
1
3
1
1
47
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
3
3
1
1
1
1
1
3
5
1
2
1
1
3
2
3
1
2
1
10
1
1
3
1
1
1
1
1
10
3
1
1
2
3
5
1
2
1
1
9
3
2
1
1
5
1
1
1
2
1
1
1
1
3
9
1
1
2
5
1
2
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
3
2
1
1
1
3
3
1
1
5
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
4
2
1
3
7
1
3
1
1
1
3
1
1
3
3
2
1
1
1
1
1
1
1
3
1
1
1
1
5
13
1
1
1
2
1
3
1
1
3
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
11
26
1
2
1
1
1
1
1
2
3
1
5
2
1
3
4
1
1
3
5
1
1
1
1
3
9
1
1
3
1
1
1
1
2
1
1
1
1
1
13
2
1
1
1
3
1
2
3
1
3
8
1
1
1
1
9
6
1
1
1
1
1
1
2
1
1
3
2
3
3
1
11
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
11
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
17
2
7
1
3
1
2
22
1
3
2
3
1
1
3
5
1
1
5
1
7
1
1
3
3
1
1
1
1
19
1
3
27
1
1
1
4
1
3
1
6
3
2
1
3
1
1
1
1
1
1
3
1
1
1
4
2
1
1
3
3
2
3
1
2
1
3
1
3
3
1
1
3
1
1
1
1
1
1
1
1
5
1
1
3
1
1
9
1
1
3
1
1
1
1
1
2
1
1
3
1
3
2
1
1
1
1
1
1
3
17
1
1
1
1
1
1
1
1
2
1
1
3
1
5
3
1
1
1
1
1
1
1
1
1
5
2
1
3
1
1
25
1
1
1
1
1
1
3
7
15
1
1
3
1
2
1
1
3
1
1
3
1
3
3
1
3
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
2
2
1
2
1
1
1
3
2
2
1
1
1
1
1
1
3
4
3
3
1
2
1
1
1
9
1
1
3
5
1
1
1
1
1
3
1
1
1
2
1
17
2
1
1
3
1
1
1
1
1
1
1
2
1
1
3
4
1
1
1
2
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
1
1
3
1
3
14
5
3
1
1
1
1
9
1
1
2
1
3
2
2
1
1
3
2
11
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
4
1
1
1
1
1
1
1
2
3
1
1
1
3
3
1
3
5
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
3
2
1
2
1
1
1
1
1
1
1
1
1
5
125
1
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
3
5
1
1
1
1
1
3
1
1
3
1
3
2
1
1
1
1
1
16
1
1
3
1
1
13
1
6
3
3
1
1
1
1
1
1
8
3
3
1
1
3
5
3
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
6
1
1
3
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
3
1
1
3
3
3
1
3
4
13
1
2
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
5
5
2
1
3
5
1
4
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
2
1
3
4
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
3
1
1
2
1
1
1
1
1
1
1
3
1
2
1
3
1
17
2
6
1
1
1
1
1
5
1
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
1
1
20
1
1
1
1
1
1
41
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
5
3
1
1
3
3
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
4
3
1
7
1
15
3
3
4
2
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
5
3
3
1
1
1
1
3
3
1
3
3
1
3
1
1
2
1
5
3
1
1
1
1
1
2
3
2
1
1
1
1
3
3
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
6
1
3
1
2
1
2
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
7
1
2
4
2
2
1
1
1
1
1
1
7
3
1
3
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
3
2
4
1
3
1
2
1
1
7
2
1
1
1
3
2
2
3
3
1
1
1
1
1
1
7
1
3
1
1
3
18
1
1
1
1
2
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
29
1
1
1
1
4
2
1
1
1
1
2
1
3
8
1
1
2
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
110
1
1
1
1
2
1
1
1
3
7
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
6
1
1
3
3
3
3
1
1
1
4
1
1
1
1
1
1
7
5
3
1
1
9
3
1
3
3
5
1
1
1
3
8
3
1
1
1
2
1
1
1
1
60
1
3
1
1
5
1
2
2
1
1
2
9
5
3
2
1
1
3
1
1
1
1
3
1
4
1
1
1
2
1
1
15
1
1
1
1
1
1
1
1
3
13
1
7
1
1
2
2
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
5
1
2
3
5
5
2
1
2
1
3
1
1
1
1
5
3
1
1
3
1
3
1
1
1
3
2
3
1
1
5
7
1
3
2
5
1
1
3
2
3
7
3
1
3
1
1
1
1
4
1
1
1
1
1
3
3
2
1
1
93
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
2
2
1
1
2
3
1
1
1
3
3
2
1
5
1
1
1
3
2
1
2
1
1
1
3
1
1
2
1
1
3
1
1
2
1
1
2
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
7
1
2
5
1
1
1
1
3
1
3
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
5
1
2
3
1
1
3
1
1
2
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
21
3
1
7
3
1
2
1
1
5
1
2
3
1
2
1
1
1
1
1
1
1
1
2
3
3
3
22
3
1
1
3
1
1
1
1
3
3
1
1
1
5
1
1
1
5
3
7
1
3
1
1
1
3
3
77
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
5
1
1
3
3
3
1
1
2
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
3
3
3
1
1
3
7
3
3
1
1
1
1
3
1
3
3
1
1
1
1
1
1
7
1
1
1
3
1
2
1
1
5
1
3
1
1
1
1
1
1
1
3
1
1
113
1
2
2
3
1
1
1
3
29
3
3
1
2
3
1
2
1
1
1
1
7
5
1
1
1
7
11
2
3
1
1
1
1
1
1
1
1
8
3
3
1
1
2
97
1
5
1
1
1
1
1
3
2
1
1
1
1
2
1
2
7
1
3
1
1
1
1
3
1
1
3
1
1
3
1
3
1
3
1
1
1
1
199
1
1
1
3
1
2
1
1
1
3
5
2
1
1
1
1
1
1
1
1
1
2
1
7
1
3
3
2
7
1
1
1
1
3
1
6
3
1
1
5
3
3
1
1
1
3
1
1
1
1
1
1
2
1
7
1
1
1
3
1
1
9
1
1
1
3
1
4
1
1
1
1
1
2
2
1
2
1
5
3
2
3
1
1
1
1
1
1
3
1
2
1
11
1
1
1
1
1
1
3
3
3
3
1
1
2
1
1
1
1
3
1
1
1
15
1
2
1
3
1
1
1
1
15
3
2
1
1
1
1
1
2
1
1
1
1
1
1
4
1
1
3
1
1
2
1
3
1
1
13
1
1
1
3
3
9
1
1
1
3
1
3
3
3
3
1
1
1
3
1
1
1
2
1
1
1
73
12
1
1
1
1
1
1
3
1
2
13
1
1
1
1
1
3
1
1
1
3
1
1
2
1
5
1
3
1
3
1
2
1
1
1
1
1
13
1
1
1
1
1
2
3
2
1
5
3
1
2
1
1
1
1
2
1
3
2
1
1
3
2
5
1
1
3
1
3
5
2
1
2
1
1
1
21
1
1
1
4
1
1
3
1
9
3
35
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
6
3
2
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
1
1
1
1
3
1
1
1
1
5
1
2
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
6
3
4
1
3
1
1
1
1
2
3
1
1
1
1
3
1
1
1
2
1
3
1
3
1
1
3
1
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
3
1
3
1
1
3
1
1
1
1
3
1
3
1
2
2
1
5
11
2
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
7
2
3
29
1
1
3
3
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
3
1
1
3
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
3
3
1
2
1
1
3
1
1
1
1
1
1
3
3
1
1
1
5
3
3
1
1
1
1
1
1
1
1
1
3
5
3
1
2
5
1
1
1
1
1
2
3
3
3
1
3
3
1
2
3
3
1
1
1
1
3
1
2
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
13
1
1
1
1
1
3
1
1
2
1
3
10
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
2
4
1
1
1
3
1
5
1
5
683
1
1
2
75
3
2
2
7
1
2
2
10
21
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
15
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
3
3
1
1
3
1
2
1
3
21
3
1
1
3
5
1
1
3
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
3
1
1
1
1
3
1
1
5
1
3
5
2
1
2
1
1
1
5
1
1
1
1
1
3
1
1
6
1
3
1
1
1
3
3
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
4
5
3
1
1
1
1
1
1
4
1
1
2
3
3
2
5
1
1
2
2
1
1
1
1
1
1
5
1
2
2
1
18
1
5
1
1
2
1
8
1
1
1
1
1
3
1
1
2
2
1
1
3
1
1
5
3
6
1
1
1
1
1
5
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
9
3
3
1
1
1
1
3
1
1
1
1
5
1
1
1
3
2
1
1
1
2
1
1
5
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
5
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
3
2
1
1
1
1
3
1
3
3
1
3
3
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
4
1
1
2
3
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
27
1
1
6
1
1
1
1
1
5
1
1
1
11
1
1
1
1
1
1
1
2
1
21
1
3
3
2
1
1
1
2
1
1
1
5
1
3
1
3
1
9
1
1
1
3
1
1
1
1
2
1
1
1
5
1
1
3
1
3
1
1
4
1
1
1
9
1
1
1
1
1
9
2
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
3
1
15
1
1
1
2
8
2
1
1
1
3
3
1
1
1
3
7
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
11
1
102
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
4
3
1
1
3
3
1
1
1
1
2
1
1
2
3
1
1
2
2
3
2
1
1
1
1
1
1
1
1
1
1
1
3
4
2
1
1
1
1
1
1
6
1
1
3
1
1
3
1
1
1
1
7
1
1
5
1
1
1
3
5
1
1
1
2
1
1
2
3
1
2
3
2
3
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
2
5
1
1
2
1
1
1
1
1
1
3
1
1
1
11
1
3
3
2
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
3
1
1
1
1
1
1
1
2
1
4
3
1
2
5
11
1
1
3
1
17
3
1
1
3
1
1
42
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
3
1
5
1
2
1
3
1
2
1
1
2
1
1
3
1
1
5
1
1
1
3
3
5
1
1
1
3
1
1
4
1
3
1
3
1
1
1
1
1
1
1
2
3
1
2
19
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
5
1
1
2
1
1
1
1
1
1
2
3
1
3
1
1
1
1
3
1
1
2
1
1
7
3
1
2
1
3
1
1
5
1
1
1
3
1
4
1
1
3
1
4
1
3
2
1
1
9
1
1
2
1
1
1
2
3
1
3
3
1
7
2
1
1
3
3
3
1
1
1
2
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
2
1
3
1
2
3
1
2
1
1
1
1
2
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
1
4
2
1
2
1
1
1
2
1
1
1
1
13
1
1
1
1
4
5
1
1
1
3
2
4
1
1
1
1
5
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
5
1
1
1
1
1
1
8
43
2
1
3
5
1
2
1
1
1
2
2
2
3
1
3
2
2
1
1
3
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
2
2
1
2
3
2
5
1
1
1
1
4
1
1
1
1
3
1
3
7
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
2
3
5
1
1
1
1
1
1
1
2
3
1
1
1
1
1
7
3
1
1
2
1
1
1
1
3
1
1
5
1
1
3
2
2
2
3
2
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
9
1
1
1
2
3
1
3
1
3
12
2
1
3
1
7
1
1
1
3
2
1
2
1
1
1
1
1
1
1
19
1
1
5
1
1
1
1
5
3
1
1
3
2
1
1
1
1
4
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
5
1
1
14
1
1
1
1
1
1
1
9
1
1
2
3
1
1
1
1
1
1
3
2
1
1
3
2
1
1
1
1
2
1
1
1
1
3
12
3
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
3
3
3
1
3
3
2
1
1
1
1
2
3
2
1
53
1
1
13
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
4
1
2
3
1
5
35
1
1
3
3
1
3
3
1
3
1
1
1
3
1
1
1
1
1
17
2
1
3
1
1
1
1
3
1
54
1
1
2
4
1
2
1
1
1
1
1
1
1
1
11
2
2
2
138
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
3
1
1
2
1
1
2
1
1
1
2
1
1
4
1
3
1
1
3
1
1
5
2
1
1
6
3
1
1
9
3
1
3
1
1
1
5
1
1
1
2
1
4
2
1
1
1
1
1
1
4
9
1
5
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
5
1
1
1
1
3
4
3
1
1
1
3
1
1
1
1
1
1
1
3
3
3
1
1
1
5
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
3
3
1
1
1
1
13
3
3
5
1
1
1
1
3
1
1
1
1
1
9
1
1
1
2
1
2
7
1
1
1
1
2
1
3
1
1
2
3
1
1
3
1
1
1
1
3
3
3
2
11
1
3
2
1
3
2
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
4
1
1
3
1
1
3
2
1
1
3
1
1
3
1
1
1
1
1
3
3
2
5
3
2
2
3
18
1
3
1
2
1
1
1
1
1
1
5
5
3
3
1
4
1
2
1
3
3
1
1
3
3
1
1
1
2
5
1
3
1
1
1
1
1
1
1
1
1
2
3
1
2
3
1
1
1
2
1
1
1
1
3
3
1
1
1
1
3
1
3
1
5
1
1
5
1
3
1
1
1
5
1
5
1
3
1
1
5
1
2
1
3
3
1
1
3
2
1
1
3
3
1
3
1
7
1
1
3
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
3
1
1
1
3
1
3
1
3
1
1
1
3
1
1
1
1
5
5
1
1
1
1
1
1
1
3
1
3
1
3
3
1
1
1
1
1
1
1
3
1
3
3
1
1
1
5
1
1
1
3
1
2
1
2
1
10
1
3
1
1
2
3
5
3
1
3
5
2
3
3
1
1
1
1
3
1
1
2
3
1
1
1
3
3
1
2
2
1
1
1
1
1
1
3
3
4
5
1
3
1
2
1
1
1
7
3
3
3
1
1
1
1
1
1
1
1
3
3
1
3
1
1
3
1
1
3
1
35
1
1
1
1
1
1
1
2
1
1
5
1
2
1
1
2
3
2
1
1
1
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
9
1
1
1
3
1
1
2
1
1
6
1
1
3
6
1
3
1
1
1
1
1
381
2
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
3
3
4
1
1
1
3
4
1
1
5
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
2
3
1
3
1
2
3
1
1
1
5
1
6
1
1
1
2
1
1
1
4
1
1
1
1
3
1
2
2
1
1
1
1
172
1
1
1
1
1
1
1
1
1
1
4
3
5
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
11
1
3
1
3
1
1
2
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
2
2
2
9
1
3
1
1
1
7
1
3
1
1
1
1
2
1
1
6
59
3
2
2
2
1
2
1
1
7
1
3
5
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
25
1
1
2
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
3
3
1
10
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
9
3
3
1
21
1
3
3
3
2
1
3
1
1
3
8
1
3
1
3
4
1
1
1
1
7
3
5
3
1
5
1
1
2
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
2
4
1
1
1
1
2
1
1
1
1
3
3
1
3
1
1
3
1
1
1
15
35
3
3
1
3
1
1
1
12
1
1
1
1
2
2
1
3
1
3
2
1
3
5
2
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
23
14
1
1
1
1
1
1
1
10
1
3
3
3
1
1
3
3
1
3
3
1
3
3
1
1
1
1
1
1
5
5
3
5
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
9
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
3
3
1
1
1
1
3
4
1
3
1
1
1
1
4
1
1
1
4
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
3
1
3
3
2
3
3
6
2
1
1
1
1
1
1
1
1
3
1
3
3
1
6
1
1
1
23
1
3
1
3
2
3
1
2
3
1
7
3
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
33
1
1
37
3
1
1
1
1
1
1
1
3
1
4
3
1
1
1
1
1
2
7
1
4
1
2
3
1
1
1
1
1
1
3
2
1
1
6
1
1
1
1
1
2
94
19
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
3
3
1
5
7
1
1
1
1
11
1
1
1
1
1
1
1
3
2
3
1
1
1
1
3
1
1
5
1
1
1
1
5
1
1
1
1
1
1
1
9
1
3
1
1
1
1
2
3
2
1
1
1
2
1
1
1
5
1
3
3
2
1
3
3
1
2
1
1
13
3
1
1
1
1
1
3
2
1
1
1
1
1
3
3
1
1
1
1
3
4
1
1
1
5
3
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
23
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
6
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
3
5
3
3
2
1
1
1
1
1
2
1
1
1
1
3
1
58
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
7
3
1
2
3
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
345
5
9
3
1
1
1
3
1
5
1
1
4
3
1
31
1
1
1
3
1
3
1
1
1
3
1
2
1
3
1
1
1
9
1
1
11
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
1
1
31
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
3
1
1
1
1
3
7
1
7
1
1
1
1
1
2
3
1
2
1
1
1
3
2
1
6
5
1
1
1
4
1
1
1
1
1
1
3
1
2
1
2
2
1
5
1
1
3
3
1
11
2
1
1
7
1
1
5
3
3
1
1
15
1
1
1
1
1
3
6
1
1
1
1
1
1
1
1
3
1
3
3
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
3
3
3
1
2
1
11
5
1
2
1
1
1
1
1
3
1
1
1
3
1
2
1
1
9
1
2
2
1
9
3
1
1
1
2
1
1
2
3
3
3
1
1
1
3
1
1
5
1
2
1
3
1
3
1
3
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
3
7
1
1
1
1
2
1
1
1
1
1
1
2
2
3
1
1
5
1
4
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
33
1
3
1
3
2
1
1
3
1
1
1
3
1
1
1
2
8
4
3
3
1
5
1
1
1
3
1
1
1
1
3
2
2
2
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
2
1
1
1
3
1
3
1
1
3
1
1
1
19
1
1
9
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
23
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
1
3
3
3
1
1
1
2
1
1
3
2
1
1
1
1
29
3
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
1
3
1
3
1
1
28
1
2
13
3
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
1
3
7
1
10
1
3
1
1
1
1
1
1
1
1
3
2
1
2
1
5
1
3
1
1
1
1
1
3
1
2
2
1
4
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
1
1
5
1
1
1
2
1
5
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
5
3
1
5
1
3
7
10
1
2
1
1
5
2
1
3
1
2
2
2
1
1
3
5
1
1
1
1
1
9
3
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
3
3
1
2
1
1
2
4
3
2
2
1
1
1
1
1
1
1
8
1
1
1
1
7
1
5
1
1
1
1
1
1
1
3
1
3
2
1
1
1
2
5
1
4
2
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
2
1
1
1
1
1
1
1
1
1
3
3
3
1
3
18
5
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
3
1
1
2
3
2
3
1
2
11
1
5
1
2
1
1
1
1
25
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
1
1
1
1
16
3
1
1
1
1
2
1
3
1
1
1
1
5
1
1
1
2
1
2
4
2
1
8
3
3
1
1
7
2
23
1
1
1
2
1
3
2
1
2
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
3
5
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
7
1
1
5
1
2
1
3
2
1
1
1
1
1
4
1
1
1
1
1
1
1
7
1
4
1
1
2
1
1
3
3
1
1
1
3
1
3
1
2
1
3
1
5
1
1
1
1
1
5
3
3
1
3
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
1
8
1
1
1
1
1
6
3
2
1
3
1
1
1
1
1
1
1
1
7
1
1
1
2
5
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
2
6
1
1
1
1
6
1
1
1
1
1
9
1
1
1
1
6
1
3
3
7
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
3
2
3
1
1
7
1
2
1
1
3
1
1
1
1
1
5
1
3
1
2
2
3
1
1
2
3
1
2
2
4
7
1
3
1
1
3
1
1
5
1
1
1
1
1
1
1
5
2
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
3
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
7
1
1
4
2
2
1
2
1
1
1
2
1
2
7
3
1
2
3
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
5
5
1
1
1
1
1
1
5
1
1
9
3
3
1
3
1
2
1
1
1
3
1
1
5
3
3
1
3
2
5
2
1
3
1
1
1
19
3
3
1
1
1
1
1
1
1
1
5
1
7
1
1
3
2
3
1
1
3
1
3
3
7
5
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
9
2
1
1
3
3
1
3
1
2
3
3
2
1
2
3
1
1
5
11
1
1
1
1
1
1
5
1
3
7
1
3
1
1
1
1
48
1
1
1
2
1
3
1
1
1
3
10
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
3
1
7
1
1
2
1
1
1
1
1
1
1
2
4
1
3
1
31
1
3
3
1
1
2
7
1
1
1
1
1
1
1
2
8
2
1
1
1
9
1
1
1
3
3
1
3
1
1
5
1
1
3
3
1
1
1
5
1
1
1
7
1
5
2
3
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
2
1
1
3
3
1
1
1
1
5
1
1
1
3
1
1
1
2
1
2
1
3
1
7
3
1
1
2
5
1
1
2
2
5
1
3
1
3
1
3
1
2
1
1
1
1
2
1
1
1
1
3
1
1
35
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
3
1
3
1
1
1
1
9
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
3
5
1
3
3
3
13
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
11
1
1
1
8
1
2
1
2
1
1
21
3
1
5
1
2
1
2
1
3
1
1
1
1
1
4
3
1
1
2
1
1
1
1
2
1
1
1
5
3
46
1
1
3
11
5
1
1
1
1
1
1
1
3
1
1
1
3
7
2
1
1
1
1
1
1
1
3
32
3
1
1
1
1
3
3
1
2
1
1
13
1
1
1
1
3
1
1
1
1
1
1
2
1
3
3
3
2
10
1
1
1
1
3
1
1
1
1
13
1
2
1
3
3
1
12
1
2
2
13
5
3
1
1
1
3
1
1
1
1
2
3
1
1
1
9
1
1
3
2
1
1
1
3
1
1
1
3
3
1
1
1
1
4
2
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
10
3
1
1
3
1
1
1
1
1
3
1
1
2
1
1
2
1
3
1
1
1
1
1
1359
31
1
1
1
1
3
1
1
1
3
1
2
1
5
5
1
11
1
1
1
1
1
2
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
3
3
1
2
3
1
2
1
3
1
1
17
1
1
3
1
1
1
1
1
1
3
1
2
5
3
4
1
1
3
1
5
1
1
1
1
1
1
4
3
1
1
3
2
1
1
1
3
1
2
2
1
1
1
1
1
1
1
6
1
2
1
1
1
1
13
1
3
1
1
3
1
1
1
1
1
4
1
1
1
3
11
1
3
1
1
3
3
1
3
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
2
1
1
3
2
1
1
3
3
1
1
1
5
3
1
1
5
1
1
1
9
1
2
1
1
3
7
1
1
1
13
5
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
6
1
92
5
2
1
1
1
1
1
21
2
1
2
1
1
1
1
3
1
1
1
1
3
4
3
3
3
1
1
1
27
1
1
1
1
3
4
11
3
1
1
1
2
1
1
3
2
1
1
3
1
55
3
5
11
1
3
1
1
7
1
3
23
3
1
1
1
1
2
2
3
1
2
2
1
1
1
1
1
38
1
7
5
1
1
3
1
1
1
1
2
1
3
3
7
5
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
3
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
1
1
1
1
7
1
1
1
3
3
1
1
1
5
1
5
1
1
1
3
1
1
1
1
5
1
3
1
1
1
2
1
1
1
3
3
1
1
1
3
2
2
2
1
3
3
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
2
1
4
1
1
1
1
1
4
4
1
1
1
2
2
5
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
4
1
1
1
2
1
3
3
1
1
1
1
1
1
1
27
1
1
1
3
1
1
1
1
1
1
11
5
3
9
1
14
1
3
1
1
1
2
3
2
3
1
1
1
1
3
1
1
7
3
65
1
1
1
3
2
1
1
1
3
1
18
3
3
3
3
1
3
4
5
1
1
1
1
3
1
1
1
1
1
2
1
2
1
2
1
8
3
11
3
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
2
1
3
1
1
4
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
13
1
1
2
1
1
3
1
4
1
1
1
1
1
1
1
1
1
25
4
2
1
1
1
53
11
1
1
1
2
1
1
1
1
1
1
3
1
5
1
1
1
5
1
1
1
1
1
2
2
3
1
1
2
1
1
11
2
3
1
1
1
1
1
2
1
3
5
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
2
1
3
1
1
3
1
17
1
1
1
2
3
4
1
1
3
1
3
17
1
1
1
1
1
1
1
2
1
1
1
1
75
5
2
3
1
1
1
1
32
1
1
1
2
3
10
1
1
1
1
1
1
5
1
2
1
1
1
1
1
3
7
1
1
2
3
1
2
1
5
1
1
2
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
2
1
3
1
1
3
1
1
2
3
1
1
1
1
1
1
3
1
2
2
9
1
1
1
1
3
1
1
5
2
1
1
23
1
1
2
1
12
1
1
1
1
2
1
3
3
4
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
2
1
5
2
1
1
1
1
2
4
1
1
1
2
1
3
11
3
1
3
1
7
1
1
1
1
1
1
1
2
1
3
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
2
36
1
1
1
1
1
1
1
1
3
2
3
4
2
3
1
1
1
1
3
1
1
1
1
3
1
1
3
3
2
1
1
1
1
1
1
3
1
1
3
1
4
3
3
1
1
1
3
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
12
1
1
1
4
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
19
5
10
1
1
3
1
57
1
1
1
2
1
1
3
3
1
1
3
1
1
2
1
3
2
6
3
2
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
8
1
1
1
1
5
1
4
1
1
5
1
1
2
1
1
3
1
3
3
4
1
2
3
1
2
1
1
1
1
6
1
1
1
1
1
9
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
85
1
1
1
1
1
1
1
1
1
4
1
1
2
3
2
1
1
1
1
1
1
1
2
1
1
1
5
3
1
1
4
1
1
3
1
1
3
1
1
2
1
1
3
5
11
3
1
1
3
5
1
1
1
1
1
1
1
1
1
2
3
3
1
1
4
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
1
1
1
3
4
2
1
5
1
1
1
5
3
2
1
1
1
3
5
3
1
1
5
1
1
1
1
1
3
3
1
1
3
1
1
3
1
1
13
1
1
1
1
1
1
1
3
3
1
2
3
1
1
1
1
2
1
1
1
2
1
4
3
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
3
1
1
1
1
3
1
1
3
3
1
2
1
1
1
9
1
3
1
1
5
1
1
1
1
1
1
3
1
1
1
1
3
5
16
2
1
1
1
1
1
1
7
1
1
2
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
5
2
1
1
1
1
1
1
2
5
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
7
2
1
1
1
1
5
1
2
11
1
1
28
2
1
1
2
27
1
1
3
1
1
1
3
2
3
1
3
3
8
1
2
1
1
3
2
1
3
1
1
1
1
15
7
3
9
3
3
1
1
1
3
3
1
1
1
3
2
1
1
1
2
1
3
1
1
7
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
2
1
1
1
4
39
1
1
3
1
1
1
3
1
1
1
1
2
1
1
1
3
3
3
1
3
1
1
1
1
7
1
3
1
1
1
3
2
1
1
1
1
3
2
1
1
1
1
1
1
3
3
1
1
3
3
5
1
2
1
1
4
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
3
3
1
7
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
2
1
5
69
8
1
10
1
1
1
3
1
1
1
1
1
1
12
1
1
1
1
1
2
3
1
1
1
9
1
1
1
5
3
3
3
1
2
1
1
4
2
2
1
1
1
1
2
3
1
1
2
1
1
3
5
5
4
1
1
1
4
1
1
5
1
3
1
3
1
1
1
1
3
2
1
1
1
1
1
1
21
1
1
1
3
2
2
1
3
1
1
3
3
1
1
1
1
4
1
1
1
3
1
1
1
2
3
1
1
3
1
1
1
3
2
7
1
1
1
2
1
1
1
5
1
2
1
1
1
6
1
2
3
1
1
7
3
1
2
2
9
3
3
1
1
1
1
1
2
3
1
1
1
9
1
2
3
3
3
1
1
3
7
3
1
1
1
3
1
1
3
1
9
1
3
1
1
1
3
3
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
3
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
9
1
1
1
1
1
1
1
1
1
1
17
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
4
1
1
79
1
1
1
1
1
3
2
8
1
1
4
2
1
1
1
1
15
1
3
1
1
1
33
2
1
5
1
2
1
1
27
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
15
1
1
1
1
1
1
1
1
3
3
2
1
3
1
7
1
1
1
1
2
1
3
1
1
1
3
1
6
3
1
3
1
1
2
55
1
1
1
1
1
5
3
7
1
1
1
1
3
1
3
3
1
1
1
13
3
1
2
1
1
2
1
1
4
1
1
1
1
3
3
1
3
5
1
3
1
5
1
1
1
2
1
3
3
2
3
1
1
1
3
1
1
2
1
1
1
15
1
3
2
3
3
1
1
1
1
2
13
3
3
1
1
1
1
3
1
2
3
1
5
3
1
1
1
1
2
1
1
1
147
3
11
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
3
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
2
1
1
1
1
1
5
2
1
1
1
1
2
9
1
1
1
1
3
1
7
1
1
1
1
1
1
2
1
2
3
7
1
2
1
3
1
1
1
1
3
2
11
1
1
1
3
1
1
3
1
1
3
1
1
2
2
1
1
1
1
1
2
1
1
5
1
1
1
1
3
2
1
1
7
1
1
2
3
1
2
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
13
3
1
18
1
3
4
1
1
3
9
1
1
1
1
3
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
3
3
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
3
1
1
1
1
4
3
5
3
1
2
3
1
3
1
1
1
1
1
10
1
1
3
1
1
1
4
1
1
1
3
1
3
1
1
3
3
1
7
1
1
1
3
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
3
43
1
1
1
1
1
1
3
3
2
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
3
1
1
1
5
1
3
1
1
1
3
2
1
1
3
3
3
1
1
3
1
5
1
1
1
3
3
1
1
12
1
1
1
3
1
1
2
1
1
1
7
37
1
3
5
1
1
3
3
1
2
1
1
3
1
1
3
3
1
1
11
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
4
1
1
2
2
1
1
1
2
1
1
2
2
3
11
1
2
1
1
1
3
2
14
11
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
3
1
1
4
1
1
5
1
3
3
1
1
1
3
1
3
1
1
1
1
2
3
3
1
3
1
1
1
1
3
13
1
1
1
1
3
1
1
3
3
2
2
1
1
1
1
1
13
1
1
1
1
5
2
1
1
3
1
1
3
1
1
1
1
3
1
3
1
1
5
3
425
1
1
2
3
1
3
1
1
6
3
4
1
3
1
1
1
1
1
1
1
1
1
2
2
1
1
3
9
4
13
1
2
1
1
1
3
1
3
3
1
1
2
3
1
3
1
1
1
3
1
1
1
1
3
3
7
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
1
8
3
2
3
1
1
3
3
1
2
5
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
5
1
1
2
1
3
1
5
1
1
2
1
3
37
1
1
1
1
3
1
1
3
3
3
3
1
1
1
1
1
3
3
1
1
1
1
3
1
1
3
1
2
2
1
1
1
176
1
1
1
1
3
1
3
1
3
9
1
1
5
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
22
1
3
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
37
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
11
3
5
3
1
1
3
1
1
1
1
2
1
2
41
1
2
17
1
3
1
1
1
1
1
1
1
2
2
3
3
1
3
1
2
1
1
1
2
1
1
1
3
2
1
3
1
1
1
7
1
1
1
1
1
1
3
1
1
2
1
5
9
1
1
1
2
3
1
7
1
1
3
1
1
3
1
1
2
2
1
2
3
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
4
1
1
5
1
1
1
3
1
1
1
1
3
2
1
1
3
1
3
1
3
1
1
1
1
1
1
1
10
1
2
1
1
3
1
1
1
3
1
1
1
1
7
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
3
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
9
2
5
1
1
1
1
1
1
3
1
1
3
1
1
1
1
7
3
1
2
3
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
2
1
1
13
1
1
1
2
1
1
1
1
5
2
2
1
3
1
3
1
1
1
1
7
1
3
8
1
5
1
2
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
9
1
1
1
1
3
1
3
3
1
17
1
3
1
69
3
1
1
3
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
245
1
1
3
1
2
1
1
1
7
15
1
1
1
19
1
1
1
2
1
1
1
1
3
11
3
4
1
1
2
3
1
2
1
1
1
1
1
1
5
1
1
7
1
1
3
1
1
1
1
3
1
1
5
1
1
1
4
1
5
5
1
1
1
1
1
1
5
1
4
1
5
5
1
3
1
5
1
1
3
1
3
3
1
3
1
2
2
8
1
1
1
1
1
3
1
3
3
3
3
1
1
1
1
1
1
1
1
1
1
3
5
1
3
2
1
1
1
1
4
3
1
5
2
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
47
1
1
1
1
3
3
1
3
4
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
12
2
1
1
3
3
1
1
1
1
1
2
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
29
4
1
1
1
3
3
1
1
1
1
4
1
3
1
1
6
5
1
1
1
3
1
2
1
2
3
1
1
2
1
1
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
2
1
1
2
1
1
2
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
2
2
1
1
1
3
1
1
7
1
1
7
1
3
1
1
1
1
3
1
2
3
1
1
1
2
1
1
1
3
3
1
1
1
7
9
1
1
2
1
3
1
2
1
1
1
2
5
3
1
8
2
1
1
3
1
3
1
1
3
1
1
3
1
2
9
5
1
1
2
1
3
3
2
1
1
1
1
1
9
2
1
2
3
3
1
3
3
1
19
1
1
1
1
3
1
1
1
1
1
1
1
1
3
16
1
3
1
1
1
1
1
1
20
1
1
5
1
1
1
1
3
3
1
1
1
1
2
17
3
1
2
1
3
1
1
1
1
3
1
1
1
3
1
2
1
3
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
5
2
17
3
3
1
2
1
3
2
1
1
1
3
5967
1
1
1
5
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
9
4
3
1
1
1
3
7
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
3
2
2
153
9
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
4
1
1
1
1
1
3
1
1
1
2
8
2
1
1
3
2
15
1
3
1
1
1
1
1
3
1
1
1
7
1
1
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
3
3
1
1
2
1
1
2
1
1
3
1
1
3
4
1
1
1
1
9
1
1
1
3
1
7
1
1
2
2
1
1
3
4
1
2
1
1
4
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
3
7
1
1
3
3
1
5
1
1
3
3
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
2
3
3
1
1
5
1
1
1
1
2
1
2
1
3
1
2
3
2
1
1
1
1
1
1
1
3
1
7
1
3
3
2
1
1
1
1
1
2
1
1
1
1
2
1
3
3
3
1
3
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
29
3
2
1
1
2
2
1
1
4
1
3
1
1
1
3
3
1
11
1
1
1
16
3
1
3
1
1
3
1
1
1
5
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
3
1
11
3
1
1
1
1
3
1
1
2
6
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
23
1
9
1
3
1
1
2
1
1
1
1
1
3
1
1
3
1
1
5
7
2
1
1
1
1
1
1
3
1
5
1
3
1
3
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
3
3
2
1
1
1
5
3
1
1
3
5
1
1
1
3
3
1
1
2
2
1
61
1
1
3
1
2
4
3
1
1
3
1
3
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
77
1
1
5
1
1
1
1
1
1
4
1
3
9
2
1
4
1
1
3
1
5
1
1
8
5
1
7
5
3
1
1
1
2
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
3
2
3
3
15
1
1
1
2
1
1
1
3
1
2
1
1
3
2
3
3
1
1
3
1
1
1
1
1
2
1
1
3
1
3
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
2
8
5
1
3
3
1
1
3
1
1
1
9
1
3
3
1
1
1
27
1
1
3
3
1
3
3
3
4
1
1
1
1
1
2
1
1
1
3
2
3
5
1
1
1
3
1
3
1
1
5
1
3
3
1
1
1
1
1
1
1
5
1
1
3
3
3
2
3
1
11
1
3
1
3
1
1
2
1
1
2
5
2
1
1
1
1
1
1
1
1
1
87
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
3
3
1
3
1
1
1
2
3
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
1
3
5
1
3
3
1
3
1
4
1
5
3
1
2
3
1
1
3
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
8
1
3
5
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
7
3
3
3
3
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
47
1
3
1
3
3
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
2
1
9
1
1
1
3
1
1
3
1
1
1
1
1
2
1
2
3
1
1
1
3
1
1
1
15
1
3
1
1
1
1
1
1
1
1
1
1
4
1
21
1
3
1
1
1
3
1
1
3
3
3
1
1
2
1
1
3
1
2
1
1
1
3
3
31
1
3
1
1
1
1
1
1
5
3
1
3
3
1
1
3
1
1
1
1
1
7
1
3
2
2
3
2
1
2
3
15
1
1
1
1
2
1
1
1
7
1
1
4
3
1
2
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
3
2
2
1
3
3
1
1
1
1
1
3
1
1
1
3
1
1
2
1
1
1
3
1
1
3
1
4
1
1
1
1
2
1
5
2
1
1
2
1
5
1
2
1
1
1
1
2
4
1
3
1
1
3
1
1
4
3
1
1
2
4
3
1
1
3
1
11
2
1
1
1
1
1
1
1
1
1
37
2
1
3
1
1
1
1
2
2
1
1
3
1
3
1
2
19
1
1
1
1
1
1
11
1
3
14
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
2
3
1
2
1
3
1
1
1
1
3
1
1
1
7
3
1
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
3
2
1
1
1
1
4
1
3
1
1
1
1
3
3
3
1
1
2
1
1
2
1
1
1
3
1
1
1
4
1
2
2
1
1
1
1
1
1
1
5
2
1
1
1
1
3
1
3
9
2
1
3
1
1
2
8
3
1
11
3
1
13
1
2
5
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
29
1
1
4
5
1
1
3
1
3
1
3
1
1
1
3
1
5
1
3
1
2
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
1
21
2
3
1
3
1
1
3
1
3
1
1
1
3
4
1
1
1
1
1
1
1
2
3
1
1
1
1
1
3
3
1
1
1
1
2
1
1
9
1
3
2
3
17
267
1
1
2
2
1
11
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
8
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
1
3
3
1
1
2
1
1
3
1
27
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
7
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
2
1
1
25
1
1
15
2
1
1
2
1
5
1
1
3
9
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
2
3
3
3
1
1
2
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
17
1
2
1
2
1
1
1
1
1
7
2
1
1
1
1
1
1
7
3
1
3
1
2
1
1
5
1
1
2
3
1
1
1
1
1
1
15
1
1
1
3
1
1
1
17
1
1
1
1
1
5
1
1
3
1
1
1
1
1
5
3
1
1
1
3
1
7
1
1
3
1
3
5
1
1
1
1
1
1
11
1
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
19
3
1
1
1
1
1
3
5
1
3
1
1
1
1
1
3
3
3
1
40
2
1
1
1
2
1
1
3
1
1
1
1
1
1
1
28
1
1
1
1
1
3
1
5
3
1
1
7
1
1
1
1
1
1
2
1
1
3
3
1
2
2
5
1
1
1
7
1
1
2
1
1
1
1
1
3
1
1
1
3
1
3
3
5
1
1
3
1
1
1
1
4
1
1
1
3
1
7
1
4
1
1
1
1
2
1
1
1
1
1
1
17
1
1
2
1
1
3
3
1
1
2
1
3
3
1
1
1
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
9
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
25
2
5
3
1
3
1
1
1
4
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
7
1
1
3
1
1
2
1
1
1
1
1
1
5
1
1
1
2
2
1
5
1
1
1
1
1
1
3
7
1
2
1
3
2
1
1
1
1
1
1
3
1
3
1
2
1
2
2
1
1
3
1
1
1
3
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
1
6
1
18
1
11
1
18
1
19
1
1
1
3
3
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
5
4
1
2
1
1
1
3
1
1
1
2
2
2
1
3
1
1
1
1
2
1
1
1
2
1
1
1
2
3
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
7
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
7
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
1
7
3
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
720
1
1
1
3
1
1
1
1
1
1
7
3
1
3
1
1
1
1
3
1
1
1
2
2
1
2
3
1
3
1
1
1
4
1
1
1
1
3
1
6
1
1
1
1
1
3
1
2
3
1
1
2
1
1
2
1
1
3
1
2
3
1
1
9
1
1
1
1
1
3
1
1
1
1
2
4
10
1
2
2
1
3
1
1
1
2
1
1
2
1
2
2
1
3
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
3
1
1
3
2
1
3
1
1
1
1
1
2
7
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
3
1
6
1
3
2
5
3
1
30
1
2
1
1
1
1
1
3
1
4
1
3
1
3
3
3
1
1
27
3
1
7
1
1
1
1
5
3
1
1
2
3
1
1
2
3
1
53
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
4
3
7
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
3
4
1
1
1
3
3
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
18
1
3
1
2
3
1
3
1
2
3
1
3
3
5
3
1
1
1
3
1
1
1
3
1
1
6
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
1
2
1
1
1
3
1
1
1
2
3
1
1
1
1
5
7
1
1
2
6
3
1
1
3
1
1
1
3
1
2
1
1
1
1
6
1
3
12
1
1
163
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
3
3
1
2
3
3
3
1
1
1
2
1
1
1
5
3
3
1
3
1
1
3
1
2
1
1
3
1
1
1
1
2
1
1
5
1
1
1
3
4
1
1
1
1
1
1
3
1
1
3
1
2
2
3
1
7
1
1
1
3
1
1
1
1
3
1
5
2
1
3
2
3
3
1
1
3
1
2
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
5
5
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
3
1
2
3
2
7
1
2
1
1
1
1
1
1
6
1
21
1
1
5
3
1
3
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
2
1
1
2
1
3
1
2
3
1
1
1
3
1
1
1
1
11
4
1
13
1
1
2
3
1
1
9
1
1
1
74
1
15
1
1
3
1
1
2
3
2
2
1
1
3
1
1
1
1
1
1
1
3
3
1
1
58
1
3
1
1
3
1
3
1
3
1
1
1
1
2
3
1
1
1
1
69
4
1
3
1
1
1
3
3
1
3
1
1
1
1
3
1
3
3
3
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
3
1
3
1
1
1
2
2
5
1
1
1
1
1
1
1
9
1
3
1
4
1
3
2
4
1
2
1
19
1
1
1
2
7
5
3
1
1
1
2
2
1
1
3
4
3
3
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
2
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
3
3
73
1
1
1
1
7
3
1
1
1
2
1
1
3
1
1
3
2
3
1
1
3
3
2
1
1
1
1
2
5
69
1
1
1
1
7
1
32
2
3
1
1
2
34
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
7
1
1
19
1
1
3
1
1
2
1
3
1
15
12
1
3
4
1
1
5
7
1
3
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
9
5
1
1
1
29
3
1
2
1
1
1
1
1
1
3
1
2
1
3
1
1
3
1
3
1
3
1
1
1
5
1
5
1
1
1
2
3
1
1
1
1
1
12
2
3
1
1
1
1
1
3
1
1
1
3
3
3
1
1
1
1
1
2
1
1
3
3
1
1
2
5
1
1
1
1
1
3
11
1
1
1
3
3
1
1
15
1
3
3
1
1
3
3
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
1
3
1
3
3
1
1
1
3
1
3
1
1
3
1
3
1
3
1
1
1
1
1
3
12
1
1
2
1
1
1
1
5
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
29
1
1
1
3
3
3
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
3
1
1
3
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
10
1
1
1
2
2
4
1
1
1
1
1
1
2
1
24
2
1
33
1
1
1
3
1
1
2
2
1
1
1
1
1
2
1
1
9
5
1
1
3
1
1
1
1
2
2
5
3
1
1
1
1
1
1
1
22
1
2
7
3
1
3
1
4
3
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
4
1
3
1
1
3
1
1
1
2
5
3
3
1
1
1
9
1
1
1
5
1
1
1
1
3
1
1
1
2
5
21
1
3
6
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
1
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
3
1
3
1
2
3
1
3
1
9
3
1
3
3
2
1
17
1
1
1
3
3
1
3
2
3
1
3
1
3
4
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
3
3
9
1
1
1
2
1
3
1
2
1
1
3
1
5
1
2
1
3
1
1
1
1
9
1
1
1
9
3
1
2
1
5
3
1
1
3
1
1
1
1
1
1
21
1
1
3
1
1
1
1
5
2
1
2
1
1
3
2
1
1
1
2
2
1
1
1
2
3
9
1
1
1
1
1
1
3
1
4
1
3
1
1
2
1
1
1
1
1
3
1
2
2
1
1
3
3
1
1
3
1
3
1
7
1
3
5
1
1
3
3
1
3
1
1
3
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
5
1
3
7
1
1
3
1
1
1
1
1
1
1
1
1
3
2
5
19
3
1
2
3
3
1
2
1
1
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
7
3
1
1
1
3
1
2
1
2
1
1
1
1
1
3
1
1
3
1
3
1
2
3
1
6
1
3
1
2
3
1
2
3
1
3
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
5
1
2
1
1
1
1
3
1
1
3
5
1
1
1
1
1
5
1
1
1
1
1
1
1853
5
1
3
1
1
3
1
1
1
3
1
1
4
1
1
1
3
3
1
1
1
1
1
4
1
1
2
1
1
1
2
3
3
2
1
1
1
2
1
4
1
2
5
9
1
3
1
3
1
1
2
1
1
1
3
3
3
2
1
1
1
1
2
1
3
1
2
3
3
3
1
11
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
3
1
3
1
1
1
1
1
3
2
2
208
1
1
1
1
5
2
1
2
1
1
1
1
1
1
5
1
41
1
1
1
1
1
2
1
1
1
1
5
3
1
4
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
2
1
1
1
3
1
1
2
1
2
1
1
2
4
1
3
3
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
3
1
3
1
1
1
3
3
1
1
5
3
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
2
2
1
1
3
2
3
2
1
2
1
1
29
1
1
3
1
1
1
3
3
3
1
3
1
1
1
1
1
1
1
4
2
1
1
3
5
1
1
3
3
3
3
1
2
1
1
1
1
1
1
8
3
1
1
1
1
1
5
1
3
3
1
1
1
1
3
3
3
1
1
3
2
2
1
1
1
2
1
1
1
6
2
3
1
1
1
2
5
1
4
1
1
5
1
3
1
1
1
1
1
1
3
1
2
1
5
9
1
1
1
1
1
1
1
1
1
2
1
3
1
5
1
1
3
1
1
1
1
1
1
9
1
7
2
1
3
4
1
1
1
1
1
3
1
27
3
5
1
2
5
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
5
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
2
2
3
1
1
1
1
3
1
1
1
2
1
5
2
1
3
7
1
3
1
1
3
1
1
1
1
1
1
1
1
2
3
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
5
1
5
1
3
3
1
3
2
1
3
3
1
1
1
1
3
3
1
1
1
1
7
2
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
2
3
3
1
1
1
2
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
3
1
3
3
3
1
1
1
3
4
3
1
1
1
1
3
1
1
4
1
1
1
1
1
3
1
3
1
1
1
3
2
1
4
1
2
3
1
3
1
1
1
1
1
2
3
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
7
2
3
1
1
1
1
1
1
1
1
1
1
3
1
7
1
3
1
3
1
1
3
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
17
1
1
1
1
1
1
3
1
1
2
1
1
2
2
3
3
1
9
2
1
1
38
3
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
3
1
3
2
1
1
1
1
4
1
1
3
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
3
3
3
3
1
1
1
2
1
2
3
3
3
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
11
1
1
1
1
2
1
3
2
1
1
1
2
1
1
1
1
1
3
1
1
2
2
1
1
1
3
1
1
1
5
1
3
4
1
1
1
1
1
2
1
1
1
5
1
1
1
3
1
1
7
3
3
1
2
5
2
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
9
1
1
1
2
4
1
1
3
1
1
1
3
1
1
1
1
1
2
1
2
1
1
3
3
1
1
1
1
11
1
3
4
1
1
1
8
1
1
1
1
2
1
1
1
2
1
1
3
1
3
1
3
1
1
1
1
1
1
37
3
27
1
1
1
1
4
7
1
3
1
14
1
3
3
1
1
37
3
1
1
1
1
1
1
3
1
4
2
1
1
1
1
6
3
1
3
3
2
5
1
3
1
2
1
1
1
2
4
2
1
3
2
1
1
1
1
3
3
1
1
1
2
3
1
3
1
2
3
1
2
1
1
1
1
3
1
9
3
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
3
1
3
1
2
1
1
3
115
25
1
3
3
2
6
1
62
11
1
1
1
3
1
5
3
1
7
1
7
1
1
1
1
1
1
3
37
1
1
11
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
2
3
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
3
1
8
3
1
5
1
2
1
1
3
3
1
1
2
1
1
13
1
1
1
2
2
3
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
1
1
5
1
1
3
2
1
7
1
3
2
1
1
3
1
1
3
1
6
1
1
1
1
1
1
7
1
1
7
1
1
1
9
1
9
1
6
1
1
1
1
1
1
1
1
1
2
1
5
1
1
3
1
3
1
1
7
2
1
3
1
3
1
3
1
3
2
1
1
7
3
1
1
1
1
3
2
1
1
1
1
1
1
4
1
1
2
3
1
5
2
1
1
1
51
1
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
2
1
8
2
1
1
3
5
1
1
3
1
1
1
11
1
1
3
3
1
1
1
1
1
1
1
1
28
2
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
5
1
1
13
1
10
1
1
1
1
1
1
1
1
2
4
1
1
1
2
5
3
10
2
3
1
1
2
1
2
11
17
3
2
1
1
1
5
1
1
1
1
2
1
2
1
1
3
3
1
2
1
2
1
1
3
1
5
1
1
3
1
1
1
1
3
1
3
15
1
1
29
3
1
1
13
1
3
1
1
1
1
3
1
11
1
3
1
5
1
1
1
1
2
3
1
3
3
1
1
1
1
6
1
3
1
1
1
7
1
1
3
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
3
1
3
1
5
1
2
3
1
3
1
3
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
3
1
1
1
3
3
3
1
3
1
1
1
3
1
1
3
1
1
1
2
1
3
1
1
1
1
2
1
3
3
1
1
1
1
3
2
1
1
3
4
3
1
1
1
1
1
2
4
1
1
1
1
3
1
3
1
1
4
3
1
1
1
1
1
5
2
1
1
3
1
1
1
1
1
1
1
1
2
17
1
3
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
9
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
6
1
1
1
3
2
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
4
1
3
5
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
2
5
2
1
2
1
1
1
1
7
3
1
1
1
1
9
3
1
1
3
1
7
1
3
1
1
3
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
5
3
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
2
1
3
3
1
1
1
1
14
7
1
3
1
17
2
3
9
1
1
3
13
1
3
3
1
42
1
1
6
1
1
1
5
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
26
1
1
1
1
2
1
1
1
4
3
3
1
3
1
2
1
1
1
1
1
1
2
1
1
1
3
1
1
5
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
13
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
2
3
1
3
5
1
3
1
2
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
3
1
1
4
1
1
3
1
1
3
2
2
1
1
3
1
3
1
1
3
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
3
3
1
3
3
1
6
1
1
1
1
1
1
1
5
5
1
33
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
3
1
1
1
1
1
5
2
26
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
3
3
3
1
2
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
4
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
3
1
2
2
1
1
5
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
2
1
2
1
9
2
2
3
1
3
2
2
2
5
1
1
1
1
1
1
3
3
1
1
3
1
2
1
1
1
3
3
2
1
1
1
1
1
1
3
1
3
1
1
2
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
3
1
1
3
1
1
5
1
1
3
1
9
2
1
1
1
4
1
5
1
1
1
1
1
7
1
2
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
3
1
2
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
2
1
3
4
1
2
1
2
3
3
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
47
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
3
3
1
1
3
1
1
2
1
1
1
7
5
1
1
8
1
1
2
1
1
1
3
1
13
3
1
3
3
4
3
2
1
3
1
3
3
2
1
1
1
1
3
1
1
1
3
1
1
3
1
7
1
3
1
3
1
1
9
1
1
1
1
1
23
1
1
1
1
1
1
3
1
2
1
1
15
3
2
1
1
1
5
2
1
1
2
1
3
1
1
46
7
1
1
1
2
1
1
1
3
1
1
3
1
1
3
3
1
1
2
1
1
3
1
1
3
3
1
2
2
1
1
3
1
45
3
1
1
3
1
2
1
1
1
3
2
1
1
3
1
1
9
1
3
3
1
1
1
1
1
1
1
2
1
5
3
1
1
1
1
1
1
3
3
2
1
1
1
51
1
1
3
1
7
1
1
3
1
61
9
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
9
7
11
1
2
1
1
8
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
3
3
1
3
1
1
2
1
1
9
1
3
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
5
1
1
1
1
1
1
3
2
1
1
3
1
3
1
1
1
3
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
21
2
7
2
1
1
1
1
4
2
2
4
1
1
1
1
3
3
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
2
1
1
3
1
12
1
1
1
1
3
2
3
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
2
1
4
3
3
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
10
1
1
1
1
2
1
1
1
3
3
1
1
1
1
1
3
2
1
1
7
1
1
1
1
1
3
1
1
1
1
1
15
1
1
7
2
1
1
3
2
1
3
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
3
1
5
1
1
1
1
1
2
3
1
1
3
3
1
1
1
1
1
75
1
1
1
1
2
1
5
1
1
3
1
1
3
1
1
1
1
2
1
1
1
3
9
4
1
1
1
3
1
3
1
1
3
2
1
5
1
3
1
1
1
2
1
1
3
1
1
1
1
5
1
1
1
1
7
1
1
24
2
1
1
5
1
1
1
1
5
3
1
3
1
1
3
3
1
3
1
3
1
1
1
1
2
27
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
5
1
1
1
1
4
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
5
3
1
1
5
1
1
7
1
1
2
1
1
3
1
1
1
1
3
3
2
1
2
1
1
1
1
1
2
3
1
1
1
1
5
3
1
1
1
1
11
2
2
2
1
3
1
1
1
4
1
1
3
1
1
3
3
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
3
49
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
2
1
3
4
1
2
3
1
3
1
1
2
3
3
19
1
1
1
1
2
1
1
3
1
1
5
15
7
2
1
3
3
1
1
5
1
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
3
1
5
1
1
1
1
1
9
3
1
1
3
1
5
3
1
3
3
4
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
5
5
1
1
1
2
1
1
1
1
3
2
437
1
1
3
2
1
3
19
1
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
1
3
1
1
3
3
3
3
2
1
1
2
1
5
1
1
1
1
3
1
1
3
1
1
3
3
5
1
1
1
1
1
1
1
3
1
1
2
1
15
1
5
1
1
7
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
2
9
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
5
1
2
2
5
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
2
151
1
1
6
1
1
1
3
3
2
1
1
1
1
1
3
1
3
1
3
3
1
7
1
21
1
1
1
3
2
3
1
1
3
1
1
1
1
3
5
1
1
1
1
1
3
3
1
1
2
1
2
3
1
1
3
1
1
1
2
9
3
2
2
1
1
2
2
1
1
3
2
1
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
27
3
2
1
4
1
1
3
1
5
1
5
1
1
1
1
5
3
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
3
1
3
1
7
1
2
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
9
2
15
1
1
5
1
1
1
7
3
1
1
1
4
3
1
1
1
1
1
1
1
1
5
5
1
1
1
2
1
3
7
2
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
81
1
2
1
5
1
2
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
9
1
5
7
1
1
2
3
11
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
3
1
1
19
1
1
1
1
1
1
1
7
3
8
2
1
1
1
1
2
3
1
1
3
1
1
4
1
1
1
1
9
1
1
1
1
1
1
1
1
3
33
1
3
1
2
3
7
1
1
1
1
1
3
1
1
1
1
1
1
5
2
1
2
7
1
7
2
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
2
3
2
3
1
1
1
1
1
2
1
3
1
1
3
3
1
3
1
3
1
1
7
1
1
1
1
1
3
1
3
3
3
1
1
1
1
1
5
2
2
1
4
2
3
3
3
5
1
5
1
1
1
1
1
3
3
1
1
1
1
2
2
2
1
1
1
1
2
2
1
3
1
2
1
1
1
1
1
3
1
3
1
1
1
1
7
14
3
9
1
1
1
1
1
1
3
1
1
17
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
2
1
1
5
1
2
1
1
1
3
1
3
1
1
1
2
1
1
3
1
1
1
1
57
2
1
1
2
1
1
3
2
1
3
2
2
1
2
4
1
1
1
79
1
1
1
1
1
3
2
1
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
3
6
1
1
1
1
1
3
1
3
3
9
1
2
1
1
1
6
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
3
4
2
1
3
3
3
1
1
1
4
1
1
1
1
2
1
1
3
1
5
1
1
3
2
1
1
1
1
1
1
4
2
1
1
1
1
9
1
1
1
1
1
1
1
1
2
1
1
7
2
1
7
7
53
1
3
1
1
1
1
1
1
3
3
3
1
3
2
1
1
3
2
3
1
2
5
1
1
3
1
3
1
1
1
15
1
2
3
2
1
1
1
1
1
1
3
3
7
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
25
1
1
1
2
1
3
1
1
2
1
1
2
1
1
2
3
1
1
1
1
1
3
1
2
25
1
1
1
3
1
1
1
3
1
1
1
1
12
1
1
1
3
3
1
3
3
5
1
11
1
1
3
1
2
1
7
1
1
2
1
1
1
3
3
4
2
1
1
1
2
4
1
3
1
1
3
1
1
2
73
2
3
3
3
2
8
1
1
11
3
1
5
1
1
3
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
13
3
1
1
1
1
3
3
3
1
3
1
1
1
1
7
1
5
3
1
5
1
1
1
1
1
1
1
3
2
2
4
1
2
1
1
1
1
3
2
3
1
1
3
1
1
2
1
1
1
1
11
3
1
3
1
3
3
3
1
1
13
1
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
17
7
1
3
2
3
1
1
1
1
1
3
1
1
1
1
5
1
1
3
2
1
5
1
1
3
1
2
3
2
1
1
1
2
1
1
1
8
1
1
1
2
1
5
1
1
1
1
1
3
1
2
1
1
3
1
1
2
5
1
3
1
1
2
3
3
1
3
2
1
3
3
3
1
2
3
3
11
1
4
3
1
3
2
1
3
1
3
2
1
1
1
4
1
1
1
3
1
5
2
2
1
1
1
1
1
1
1
1
2
55
1
2
3
2
3
1
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
71
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
11
3
1
1
1
48
3
1
3
1
1
1
7
1
1
1
3
3
1
1
3
1
1
1
1
3
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
4
3
1
3
3
3
3
2
1
1
2
1
1
1
1
3
1
1
1
2
3
1
1
3
1
1
1
3
1
8
3
1
1
3
3
1
1
3
1
3
1
1
1
3
1
4
1
3
1
1
1
3
1
1
7
1
3
1
3
23
2
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
3
3
1
5
1
1
1
1
1
1
1
1
1
2
3
1
1
2
2
2
7
1
1
2
1
5
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
8
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
79
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
17
2
1
2
1
2
33
1
3
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
115
2
1
1
5
1
2
23
1
1
1
1
1
2
3
1
3
4
1
1
1
3
3
4
1
2
1
3
1
1
1
1
3
2
73
3
3
1
1
1
1
3
1
5
3
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
9
1
1
1
1
2
1
1
1
1
2
3
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
2
3
5
1
3
3
1
1
1
1
1
1
2
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
2
1
2
5
1
3
1
1
3
1
5
1
1
1
1
1
3
1
2
1
1
1
3
1
4
1
3
1
1
1
7
6
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
3
3
1
3
1
1
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
39
7
1
1
3
1
1
1
2
3
3
2
5
1
1
7
1
1
3
1
1
4
1
3
1
3
2
3
1
2
1
1
3
5
1
3
5
1
5
1
1
3
1
1
1
1
2
1
1
5
2
1
1
3
1
1
2
2
1
1
3
1
1
1
1
3
8
1
3
1
3
11
1
1
3
1
1
2
1
1
1
1
2
7
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
2
3
1
1
2
1
1
5
1
1
1
1
1
2
1
15
5
1
19
3
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
59
1
1
1
1
1
3
5
1
3
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
2
1
1
1
1
1
2
3
2
2
3
1
1
19
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
3
1
1
1
1
1
2
2
3
1
1
1
5
1
1
3
2
1
3
1
1
3
1
2
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
1
4
1
1
2
1
1
1
1
1
1
2
2
1
1
1
2
7
1
1
2
1
2
3
1
1
6
5
1
1
1
3
1
3
1
3
1
3
1
3
3
1
3
1
4
3
1
1
1
1
3
3
1
7
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
37
1
2
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
5
1
1
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
16
1
1
3
1
3
1
7
1
1
1
1
4
1
1
1
4
2
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
3
2
1
1
2
2
1
4
22
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
11
1
2
2
2
1
1
3
1
1
4
1
2
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
13
2
1
1
3
1
1
10
1
3
3
1
1
1
5
1
3
1
1
1
1
1
1
1
3
20
1
2
1
1
1
1
1
3
1
1
3
3
1
1
2
3
3
1
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
1
1
10
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
25
1
1
3
1
3
1
1
3
1
2
5
1
12
1
3
2
2
3
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
15
1
1
2
3
1
1
7
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
2
1
7
1
1
1
1
3
3
1
1
1
15
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
2
3
1
1
1
1
3
3
3
1
1
1
1
1
1
1
3
3
1
3
2
1
3
1
3
1
1
1
1
1
5
1
1
11
1
2
1
5
1
1
3
1
1
3
1
1
1
1
4
1
3
15
1
2
6
1
1
3
3
3
11
3
21
1
1
1
1
2
1
1
1
1
3
1
3
5
2
267
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
25
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
5
5
3
5
2
5
1
1
2
1
1
1
9
3
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
20
1
1
6
1
1
3
1
5
31
1
1
5
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
2
2
1
2
1
2
1
1
1
6
1
1
1
1
3
2
1
1
1
1
2
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
7
1
3
2
1
1
1
1
1
1
1
2
3
1
1
6
5
2
1
5
1
17
1
1
1
1
2
3
3
1
1
1
29
1
1
3
1
1
1
3
3
1
2
5
1
12
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
2
1
1
1
1
1
1
25
1
1
1
1
2
3
3
3
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
3
3
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
2
2
1
1
3
1
1
1
1
3
2
1
1
1
1
3
1
3
1
13
1
1
2
3
3
1
1
3
3
2
1
2
1
1
5
1
2
1
1
1
3
1
1
1
3
11
1
1
1
1
6
1
2
1
1
1
5
3
1
1
1
1
5
1
3
2
1
1
1
1
1
2
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
33
1
2
1
1
1
1
3
1
1
1
12
1
1
8
1
1
3
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
5
1
1
2
3
2
3
3
1
1
1
1
1
7
11
1
1
1
3
5
5
1
1
2
1
1
1
1
7
9
2
23
1
1
1
1
3
1
1
1
1
2
6
3
1
1
1
1
3
3
1
1
1
1
2
5
1
1
7
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
4
1
2
1
4
44
1
1
1
1
1
1
1
1
1
3
1
1
3
1
6
1
13
1
3
1
1
2
2
23
1
1
3
1
1
3
1
3
3
3
1
1
1
1
1
1
3
3
1
3
1
2
1
1
3
1
1
2
1
1
3
3
1
2
1
2
3
1
1
1
1
3
1
3
1
1
3
2
1
3
1
3
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
29
1
1
1
1
1
3
3
2
1
1
1
1
1
1
2
3
7
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
3
1
31
1
1
1
1
2
1
1
3
1
5
1
2
5
5
17
1
1
2
1
1
1
3
1
1
3
1
3
3
1
1
2
1
1
1
1
3
1
1
1
2
1
1
5
2
1
1
1
5
1
1
3
1
1
1
5
1
1
1
1
3
2
1
7
1
1
2
1
1
3
1
3
1
1
1
4
1
1
1
1
1
2
1
1
1
3
2
2
1
1
1
9
1
3
1
5
11
1
1
3
1
1
2
3
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
4
3
1
21
2
1
4
1
3
1
3
1
1
1
3
3
1
22
2
5
3
1
3
2
2
1
2
1
7
1
1
3
1
2
5
2
1
1
1
3
1
1
1
1
3
1
2
2
1
2
3
1
1
2
1
1
1
1
3
2
4
1
1
1
1
1
1
1
78
99
1
3
1
3
3
1
62
1
4
1
2
2
1
5
3
1
3
2
1
1
1
1
1
3
1
3
1
1
1
5
2
1
1
1
1
1
15
2
1
1
1
2
1
3
1
1
1
1
1
1
3
1
3
1
1
1
2
3
1
1
1
2
1
1
3
1
5
3
1
1
1
1
1
3
1
1
4
2
1
2
1
3
1
1
1
1
1
1
5
1
1
2
3
2
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
5
5
3
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
3
1
2
1
1
1
1
727
19
1
2
1
1
3
1
1
5
2
1
3
1
1
1
4
1
1
1
1
4
1
1
2
6
3
2
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
16
1
1
1
3
1
1
1
1
1
3
9
1
5
1
1
1
1
1
1
1
1
3
3
3
1
1
3
2
2
1
1
1
1
14
2
1
1
1
1
3
2
1
1
1
1
14
1
1
1
2
1
1
1
13
1
1
1
7
1
2
1
4
1
1
3
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
2
1
1
1
1
1
2
2
3
1
2
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
2
1
3
1
1
3
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
2
9
1
1
1
1
5
5
1
3
8
3
1
3
1
1
4
4
1
77
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
4
5
1
1
1
7
1
1
1
3
1
3
2
1
3
1
1
16
1
2
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
19
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
2
1
1
1
1
1
1
11
1
3
1
1
2
1
1
1
1
2
1
1
3
1
1
1
2
5
1
3
2
1
1
1
1
1
1
1
85
1
2
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
3
5
1
3
5
5
1
1
3
2
1
33
1
1
3
1
1
1
3
1
1
3
1
3
1
3
2
1
1
1
1
1
1
2
1
1
14
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
2
29
2
1
3
2
3
3
8
3
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
2
1
2
5
1
3
1
1
1
1
2
1
1
3
2
3
3
15
1
1
1
21
3
14
1
5
1
1
2
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
2
11
1
1
1
1
1
1
3
1
1
1
2
2
1
1
3
2
1
1
1
1
1
5
7
11
1
6
1
1
3
1
1
1
1
1
3
2
1
3
1
1
1
1
1
2
1
1
9
3
1
3
2
1
1
1
3
1
5
1
1
1
1
1
2
1
1
8
1
1
1
1
1
1
59
1
5
67
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
2
1
1
1
1
3
2
2
1
3
1
4
3
1
2
1
7
1
8
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
5
1
1
8
3
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
4
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
17
1
1
1
3
1
1
1
2
1
2
3
3
2
1
1
4
2
1
2
1
1
2
2
25
1
3
1
1
3
5
1
1
1
1
3
2
1
1
1
1
3
1
3
2
1
1
1
2
1
3
2
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
2
5
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
2
5
1
3
1
2
3
1
1
5
3
3
1
3
1
1
1
3
1
1
29
1
1
3
1
1
1
3
2
1
1
1
1
4
1
3
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
11
2
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
9
1
1
1
3
2
1
2
1
1
3
2
1
1
2
1
1
1
3
1
5
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
3
3
1
3
1
2
3
1
1
1
1
1
3
1
7
1
1
1
3
1
1
3
1
3
9
1
1
1
4
1
1
1
1
1
1
5
3
1
3
1
1
1
1
1
3
1
5
1
3
1
1
2
1
1
1
3
1
1
2
1
15
1
1
1
1
1
1
1
4
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
3
1
15
1
1
1
1
1
2
1
7
3
13
1
6
1
5
3
1
3
1
1
2
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
5
5
2
1
2
1
1
1
3
1
3
1
1
3
1
3
1
1
1
7
1
3
1
1
1
1
5
4
1
2
2
5
3
1
1
1
1
1
1
1
3
2
1
1
3
3
1
3
1
2
1
1
1
1
2
3
1
1
2
1
1
1
1
1
5
1
1
1
3
1
1
1
37
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
2
1
2
1
1
3
14
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
3
1
1
2
2
2
1
3
1
1
1
1
1
3
9
2
6
1
1
1
2
1
1
1
1
11
1
1
3
1
2
1
3
1
1
1
1
3
1
1
1
1
2
3
1
1
5
1
1
1
1
3
4
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
3
1
1
2
3
1
1
1
1
3
5
1
1
2
1
1
1
3
23
1
1
1
1
2
3
1
1
1
2
1
1
1
8
2
2
1
1
1
1
1
1
2
1
1
2
1
3
1
3
1
1
1
1
1
28
3
1
1
3
1
1
1
5
1
3
3
2
1
1
1
1
1
1
2
1
5
1
2
1
1
2
1
1
1
3
1
1
1
3
1
1
1
1
3
1
9
1
2
1
1
1
1
1
1
1
3
3
1
3
1
1
3
3
1
3
1
1
1
9
1
1
1
1
7
1
3
1
1
1
1
7
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
10
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
5
1
1
1
3
1
1
3
5
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
3
12
1
6
1
1
1
1
1
1
2
1
1
3
10
1
1
1
3
3
1
1
2
2
1
1
3
1
1
2
1
1
1
2
3
7
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
43
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
3
3
1
2
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
2
1
1
3
2
2
1
1
3
1
1
2
3
11
1
1
1
1
7
3
1
1
3
1
3
1
1
1
1
1
1
3
1
3
1
1
5
1
1
1
1
7
1
1
1
1
1
1
1
3
1
2
5
1
1
1
3
3
1
1
3
2
1
1
1
1
1
2
1
2
2
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
3
1
1
3
3
1
1
5
3
1
1
2
1
2
1
1
3
1
3
1
1
3
1
1
3
3
3
2
1
1
1
3
3
1
1
7
1
1
1
3
7
3
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
3
2
1
3
1
3
1
1
2
1
1
1
1
5
3
5
1
1
1
1
1
1
7
1
3
1
1
1
2
1
1
1
3
3
1
1
1
3
1
2
1
1
3
5
1
1
1
3
1
1
5
1
1
1
1
5
1
1
3
1
3
1
5
1
3
1
1
1
4
1
1
1
1
1
1
1
1
15
3
1
1
1
1
2
4
1
1
2
1
1
1
2
1
1
2
3
1
3
3
1
1
3
14
1
1
1
2
1
3
5
5
1
3
2
1
3
1
1
1
1
3
3
1
1
1
1
1
1
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
5
1
1
2
1
3
3
1
2
1
1
10
5
5
1
1
1
3
1
7
1
1
1
10
3
1
1
3
2
1
1
1
7
3
2
3
9
1
1
1
1
1
3
3
1
1
1
3
2
3
1
1
1
1
1
1
11
1
9
1
4
1
1
9
1
1
3
3
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
9
7
1
1
1
1
8
1
1
2
3
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
11
1
1
1
1
1
1
1
1
3
2
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
2
1
1
1
1
2
5
1
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
14
2
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
5
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
137
1
1
2
1
1
4
1
1
3
1
1
1
1
4
1
1
1
1
1
2
1
3
3
1
1
3
1
1
9
3
1
5
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
5
1
1
1
17
1
1
1
3
1
1
1
1
3
1
1
1
3
2
2
1
1
1
1
1
2
7
3
1
3
7
1
1
3
1
2
1
1
1
2
3
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
3
1
7
5
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
3
5
1
1
6
1
3
1
32
1
1
3
1
3
1
1
1
1
1
2
1
1
1
3
1
3
3
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
5
3
3
1
1
1
1
1
3
2
5
1
3
1
5
1
1
1
1
2
1
2
1
1
141
2
1
1
2
1
3
1
1
1
1
13
3
1
2
3
3
3
3
1
1
1
1
1
43
1
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
2
2
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
3
2
1
1
1
3
3
1
1
2
1
1
2
5
1
1
1
4
1
1
2
3
2
1
1
3
1
1
3
1
2
1
1
3
1
1
1
2
1
3
2
5
3
1
1
1
1
1
1
2
1
1
1
1
1
12
1
1
1
1
1
3
1
1
1
1
3
1
2
3
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
3
6
1
1
1
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
9
1
1
5
3
1
1
3
1
2
2
2
1
7
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
11
2
1
3
1
3
1
3
3
1
1
3
3
1
1
1
1
1
1
29
2
1
1
3
3
3
1
2
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
3
3
3
6
1
1
1
1
1
9
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
9
1
1
1
7
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
3
2
3
3
6
1
3
1
1
1
1
1
1
1
3
3
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
5
3
1
1
1
1
1
1
2
2
1
1
1
1
1
5
1
1
5
1
1
1
2
2
1
1
1
1
1
1
3
2
3
1
1
1
3
1
1
1
1
1
6
2
1
1
1
1
2
2
1
2
1
4
1
1
8
1
1
1
3
3
1
1
3
1
1
37
1
2
1
1
2
1
3
3
4
1
1
1
1
1
1
1
1
1
9
1
2
1
1
3
3
2
1
3
1
1
3
1
3
3
1
1
13
3
7
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
5
6
3
1
1
1
1
3
1
1
1
1
20
1
2
2
20
1
1
1
1
3
1
1
1
3
3
1
1
2
1
1
3
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
3
2
3
1
1
1
2
1
3
1
1
1
1
1
2
1
1
3
12
1
2
1
2
1
1
2
1
1
1
2
1
3
3
1
19
1
1
1
1
11
3
1
1
2
1
1
1
1
1
2
1
1
1
1
2
3
5
1
1
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
1
3
1
1
2
1
3
1
1
1
1
3
1
2
1
1
5
1
8
5
1
1
2
1
1
3
3
3
1
1
3
2
3
2
3
1
1
1
1
1
5
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
2
1
3
1
2
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
2
1
1
7
3
14
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
10
1
4
1
3
3
3
4
1
1
1
3
5
3
1
1
1
1
1
1
1
1
3
3
1
3
3
1
3
1
3
2
2
3
1
3
1
1
1
2
1
1
1
7
1
1
1
9
1
1
5
1
11
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
11
1
7
1
1
1
1
2
3
1
1
1
1
4
9
1
1
1
1
3
2
1
3
2
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
183
1
1
1
1
3
1
3
219
11
1
1
3
4
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
3
1
1
1
2
2
1
1
2
3
5
2
1
1
3
2
1
1
1
1
1
3
1
2
1
1
5
1
1
1
1
4
1
1
1
1
1
3
1
1
3
1
1
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
33
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
3
3
1
1
1
2
1
1
1
705
3
1
5
3
4
1
1
2
3
1
1
1
27
1
3
1
1
3
5
7
1
3
3
3
1
5
1
4
1
1
1
6
1
3
1
1
1
1
1
1
1
1
4
1
3
1
31
2
2
9
1
1
1
1
1
1
1
2
1
3
1
3
1
7
1
1
3
7
3
1
1
24
1
1
1
1
3
2
5
1
6
3
2
1
1
1
3
1
1
7
1
13
3
1
1
17
3
1
1
5
1
2
1
1
1
1
1
4
3
1
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
3
5
1
1
2
1
1
3
1
1
1
2
3
1
5
1
7
1
3
2
1
1
3
2
1
1
2
1
3
1
1
2
1
3
5
3
7
1
9
1
1
1
1
2
95
1
1
50
3
589
1
3
1
1
1
2
5
2
2
2
1
1
5
1
1
1
1
1
1
1
1
3
1
2
3
1
1
2
2
3
2
1
3
3
1
1
2
1
1
3
1
2
3
1
1
1
1
3
3
2
1
3
1
1
1
3
1
5
3
1
2
1
1
1
1
1
3
1
1
1
1
1
7
1
5
1
1
1
5
1
1
1
1
2
1
1
1
41
3
1
1
3
3
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
2
1
1
2
1
1
1
2
1
1
11
1
1
1
1
1
1
1
1
1
1
33
1
2
1
1
1
1
1
2
1
1
2
1
1
3
3
1
1
1
1
2
3
1
1
2
2
3
1
1
1
1
1
1
2
1
2
1
2
3
1
5
1
4
1
1
1
9
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
5
2
1
1
1
2
1
2
3
1
1
1
2
3
1
1
1
2
1
1
2
1
1
1
1
5
1
3
1
2
1
5
1
3
1
79
1
4
3
1
1
1
3
3
1
3
7
1
1
1
1
3
1
1
1
1
3
3
2
1
3
2
2
1
1
1
3
1
1
1
1
1
1
3
1
9
1
2
1
1
5
1
1
2
1
3
1
1
1
1
1
1
1
3
2
3
1
1
3
1
3
1
2
9
1
1
1
1
1
1
1
3
1
13
1
1
1
1
3
2
1
3
3
1
1
2
1
1
1
1
2
3
5
3
1
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
1
1
2
19
1
1
1
1
37
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
5
1
2
1
1
1
1
1
2
3
1
1
4
2
1
3
1
1
1
1
2
3
1
1
1
1
1
2
3
1
1
3
1
1
3
1
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
5
1
2
1
1
1
2
3
5
1
3
19
1
1
1
1
3
3
1
1
1
3
3
1
1
1
3
1
3
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
33
3
1
1
1
3
1
3
2
3
1
3
1
13
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
3
1
1
1
3
1
3
1
2
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
3
5
3
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
1
2
3
5
1
1
3
3
1
1
1
2
2
1
1
1
3
1
1
3
1
2
3
1
1
1
1
3
2
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
5
1
1
1
3
3
1
1
2
1
2
4
1
2
1
1
3
3
1
1
1
1
1
1
1
5
1
3
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
3
1
2
2
3
3
1
1
1
1
1
1
2
1
1
4
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
3
3
1
1
1
1
2
1
11
5
1
1
1
1
1
5
1
2
1
2
1
4
1
3
1
1
1
3
9
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
2
1
2
3
1
3
3
1
1
25
1
3
1
3
3
1
1
1
1
1
3
1
7
1
7
5
1
1
1
4
1
1
1
1
4
1
3
1
1
2
1
1
2
1
1
1
3
1
1
2
1
3
1
1
1
1
45
1
1
1
1
1
1
1
2
1
1
5
2
1
1
1
1
1
3
1
3
3
3
1
1
2
5
5
1
3
3
3
3
3
4
1
1
1
1
1
3
1
1
2
3
1
373
1
3
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
27
7
3
1
1
1
1
3
1
1
1
1
2
9
3
1
3
5
29
1
1
1
1
1
1
3
3
1
1
1
1
17
1
2
1
1
2
1
5
1
1
1
1
2
2
1
1
1
3
3
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
7
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
19
1
1
1
3
5
1
1
3
29
1
1
1
1
2
1
1
3
3
1
1
1
1
1
1
68
9
1
1
3
1
3
1
2
1
1
1
1
5
1
1
1
1
1
1
2
5
1
1
1
2
1
1
1
2
1
1
1
1
11
1
1
1
1
1
1
1
1
1
1
1
1
1
9
2
2
1
3
3
2
4
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
2
37
2
3
3
1
1
1
1
1
1
1
2
1
1
3
3
1
1
1
1
29
2
1
1
16
4
3
1
5
1
1
3
1
3
1
1
1
5
3
3
1
3
7
1
1
1
3
1
1
3
2
1
11
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
21
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
11
1
1
1
1
1
5
1
3
1
1
2
3
1
1
1
1
3
1
3
1
2
3
1
3
1
1
5
2
3
3
1
3
1
1
3
5
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
107
1
1
1
1
37
1
1
3
1
3
1
1
1
3
7
1
1
1
1
1
1
3
1
3
3
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
2
13
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
9
2
1
1
1
1
3
1
1
1
1
38
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
3
3
1
11
1
1
3
1
1
3
1
1
3
3
3
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
7
1
3
1
2
5
1
1
1
1
1
1
3
1
4
5
2
1
1
1
1
1
13
2
3
2
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
2
3
11
2
2
1
1
9
1
2
1
1
1
1
1
4
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
35
1
75
1
1
1
1
2
2
1
1
2
3
1
1
1
1
1
2
1
1
1
1
3
1
1
21
1
2
3
3
3
3
1
1
3
1
67
1
1
8
1
3
5
2
1
2
3
1
1
1
1
2
1
5
1
1
1
1
2
3
3
1
3
1
1
2
1
1
3
3
1
1
4
1
3
1
1
5
1
1
1
1
1
2
1
1
1
1
1
7
5
1
2
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
7
3
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
3
1
3
1
3
1
1
3
2
3
1
1
4
1
13
7
3
1
2
1
1
1
1
3
5
1
3
2
1
1
1
1
1
1
5
1
2
1
1
1
2
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
3
3
1
1
1
1
1
169
1
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
3
2
1
3
1
1
1
1
1
3
2
3
2
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
2
2
1
1
1
1
3
1
1
1
1
3
1
1
1
7
1
3
1
1
1
11
3
1
3
1
6
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
2
1
2
25
3
1
1
5
1
5
1
1
1
1
2
1
1
1
1
3
2
1
3
1
7
2
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
2
3
1
3
3
1
2
1
3
3
3
3
5
1
1
1
1
3
1
1
21
1
1
1
1
3
3
1
1
3
1
3
2
1
7
1
1
1
1
9
3
3
3
1
1
1
1
1
2
2
1
1
1
1
1
1
3
3
1
1
2
1
1
1
2
9
1
1
1
1
1
1
3
1
39
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
3
1
3
1
1
1
3
3
1
1
1
3
1
1
7
2
3
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
16
1
3
1
2
2
1
3
1
2
3
1
1
13
5
23
1
3
1
7
1
1
1
1
1
1
1
1
3
1
3
1
1
2
3
1
1
1
1
1
2
1
3
1
73
1
3
3
3
7
1
1
3
1
1
1
3
1
1
4
1
1
5
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
5
1
3
1
3
4
3
3
1
1
1
1
1
3
2
1
1
1
1
1
1
2
3
1
1
3
3
1
1
1
1
1
2
1
1
3
5
1
1
1
1
1
1
2
3
1
1
3
2
1
1
1
3
1
3
1
1
2
7
1
5
1
1
1
3
1
1
1
3
3
2
1
3
1
1
2
1
1
1
1
5
1
3
1
3
1
5
7
2
1
1
11
3
1
1
1
1
3
1
1
3
1
2
1
1
3
1
1
1
1
3
1
3
1
1
12
1
1
1
1
2
4
2
1
1
3
1
1
1
1
1
5
1
1
4
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
6
1
1
6
1
1
1
12
3
3
7
3
3
1
1
5
1
1
3
1
3
1
1
1
1
6
1
1
1
3
2
1
5
1
1
1
3
3
5
2
1
1
1
3
1
3
1
1
1
6
3
1
1
3
1
3
1
1
1
5
1
1
1
3
3
15
1
1
16
5
3
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
2
6
1
3
1
2
1
1
2
3
1
1
1
1
2
1
2
1
2
4
1
1
1
1
4
3
3
1
5
1
1
1
1
25
1
1
3
1
3
2
1
7
3
4
1
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
2
3
3
1
1
1
1
1
110
1
1
1
3
1
1
1
1
1
1
1
5
2
1
3
6
2
1
1
1
1
2
1
1
3
1
1
2
5
1
3
2
3
1
1
2
2
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
7
1
1
1
3
1
1
1
5
1
20
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
5
3
1
1
1
1
2
1
5
1
6
1
1
1
1
1
1
1
2
1
1
3
1
3
1
5
1
5
1
4
1
1
1
1
3
1
3
1
1
3
1
1
191
3
1
1
3
1
3
1
1
3
1
1
1
2
1
11
1
2
3
1
1
3
1
2
1
1
21
1
1
1
3
3
1
1
1
17
1
5
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
2
2
4
5
3
4
1
1
2
1
1
5
1
1
1
1
2
1
1
1
3
1
1
6
1
1
2
1
3
3
2
1
1
3
1
3
1
5
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
3
3
1
1
1
1
1
1
1
2
4
1
1
1
1
3
1
3
1
1
1
2
1
3
5
1
1
1
1
1
1
3
5
2
1
3
2
2
3
1
3
2
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
3
3
1
2
3
1
17
1
1
1
1
4
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
27
5
1
1
1
2
3
1
1
1
3
3
1
3
3
2
3
3
1
1
2
4
1
1
1
3
3
1
3
3
2
1
3
3
2
3
1
7
1
1
1
1
1
1
1
3
27
1
1
1
1
75
1
1
1
2
3
3
1
1
2
5
1
2
1
1
3
1
1
6
1
3
1
1
1
1
1
1
1
9
1
1
1
3
1
1
1
3
1
3
3
1
3
3
1
1
3
3
1
1
2
2
3
1
3
3
5
1
1
1
1
1
1
1
2
1
3
3
1
1
2
3
1
3
1
3
1
3
1
3
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
7
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
13
1
2
1
12
3
1
4
1
1
1
1
3
4
1
1
2
1
3
1
1
3
1
1
1
5
3
3
1
1
1
2
1
1
1
2
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
14
5
1
1
1
1
3
2
3
1
1
1
1
1
2
1
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
2
1
2
3
7
4
1
1
1
2
3
1
1
2
1
3
1
1
1
4
3
2
1
1
1
3
1
1
1
2
2
2
1
1
5
1
1
2
1
1
1
3
1
3
1
1
1
1
4
1
1
1
21
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
2
1
5
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
4
1
1
3
1
1
3
3
1
1
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
3
9
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
2
9
1
1
2
2
3
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
4
3
1
1
1
1
7
403
1
1
3
1
1
1
5
11
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
2
1
51
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
5
12
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
2
1
3
1
3
3
1
1
1
3
2
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
1
2
1
1
1
1
1
3
1
58
1
1
23
1
1
5
1
1
1
9
1
5
1
2
1
1
1
1
5
1
1
1
1
1
1
2
3
1
5
1
1
1
1
5
1
1
3
4
1
1
1
1
1
1
1
9
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
2
5
1
1
1
1
7
1
3
1
1
3
1
3
3
2
1
1
1
1
1
2
1
1
3
1
2
1
3
1
1
5
3
1
1
1
3
1
5
1
1
4
1
1
3
2
1
1
1
5
1
1
1
1
1
1
3
2
1
2
1
3
1
2
3
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
8
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
3
1
5
1
1
1
1
3
1
1
1
3
1
1
23
6
1
3
1
1
1
1
2
15
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
4
1
1
1
1
1
1
2
3
1
2
25
1
1
2
4
1
1
1
1
1
1
3
1
1
1
2
1
5
1
1
1
3
3
3
3
1
6
1
1
3
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
9
1
7
1
1
11
2
3
1
1
5
2
2
1
1
3
3
1
3
1
3
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
1
1
2
1
1
1
3
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
1
3
3
1
1
1
2
2
1
1
1
1
1
1
1
1
4
1
3
2
2
3
1
3
1
1
1
1
4
1
3
1
1
1
1
1
1
1
1
1
73
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
1
1
8
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
5
1
2
1
1
2
1
1
1
1
1
2
1
69
1
1
2
1
4
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
9
4
31
1
1
1
6
1
1
1
1
5
1
3
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
3
7
1
5
1
1
1
1
1
1
1
1
1
1
78
2
1
1
1
3
6
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
6
2
1
3
1
3
1
1
3
1
2
1
1
3
1
1
2
1
1
2
1
1
3
2
1
1
1
1
4
1
3
1
3
1
1
1
51
1
3
3
1
1
3
1
2
3
1
4
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
3
3
1
3
3
3
1
1
1
1
3
1
1
3
3
1
1
1
1
1
3
1
1
1
3
3
1
1
3
2
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
3
1
1
3
2
1
1
1
3
1
1
3
5
1
3
1
1
1
1
3
3
1
1
5
1
1
1
1
2
1
1
3
1
1
1
1
1
1
6
2
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
2
1
1
2
1
3
1
1
1
2
1
1
2
2
1
2
1
1
4
5
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
3
1
1
9
1
1
1
1
2
1
1
1
1
3
1
1
3
3
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
3
3
1
1
5
1
1
11
3
3
1
1
1
1
1
3
3
1
2
1
1
2
1
1
5
1
3
1
2
1
2
1
1
1
7
1
38
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
7
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
3
1
1
49
1
1
1
1
11
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
367
27
4
1
3
19
1
1
3
1
2
1
3
3
1
1
2
1
1
1
1
1
1
6
1
1
3
1
1
4
3
1
1
1
9
2
1
1
1
1
5
1
2
1
1
1
1
1
2
1
29
1
1
1
1
2
2
3
3
1
1
5
4
1
49
1
1
9
1
1
1
1
3
1
2
3
1
3
1
1
1
1
1
1
1
3
3
1
2
3
3
1
1
2
2
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
15
1
1
3
1
1
3
1
3
3
1
1
1
1
3
1
25
1
2
1
17
1
1
83
1
1
1
1
12
1
1
1
1
1
5
11
1
1
1
9
1
1
6
1
11
2
61
3
1
3
1
13
1
1
1
5
13
1
3
1
3
6
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
2
5
1
1
1
1
2
1
3
1
6
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
12
1
1
2
1
1
1
1
1
1
3
3
1
2
3
1
1
1
3
1
1
2
1
1
3
1
1
3
1
1
3
4
2
3
1
3
3
2
1
1
1
1
1
1
3
3
1
1
1
3
2
1
1
1
1
1
4
3
5
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
1
9
2
3
3
1
4
7
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
5
1
1
1
3
1
3
1
1
2
1
3
1
1
1
3
1
2
1
9
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
7
1
3
1
1
1
3
1
1
1
1
1
2
1
7
2
3
1
1
1
1
3
3
1
1
1
1
4
1
1
1
1
1
1
1
1
3
1
3
1
2
6
1
1
1
1
1
22
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
3
1
2
1
2
1
1
17
1
1
1
1
1
3
1
1
1
1
1
3
4
1
2
3
2
3
2
17
2
1
3
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
2
231
1
1
1
1
1
3
1
1
1
1
3
4
1
1
3
1
1
1
1
1
3
1
8
1
1
1
1
1
2
3
4
5
1
1
1
1
1
1
1
1
3
2
3
1
1
3
2
1
3
1
2
2
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
4
2
1
1
1
1
1
3
3
3
1
1
1
1
3
1
1
1
1
4
1
1
2
2
1
1
1
1
2
1
1
2
1
1
1
1
3
3
1
1
1
1
1
3
3
1
2
1
3
1
23
1
1
2
2
1
1
1
1
2
3
1
1
3
1
3
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
57
3
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
2
3
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
3
2
1
1
1
2
12
1
4
1
1
1
5
3
1
3
1
2
1
5
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
3
3
5
1
1
1
3
3
1
3
1
8
1
1
2
3
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
1
15
2
1
1
1
3
1
2
1
21
1
1
1
1
3
1
2
1
1
1
16
1
2
1
3
1
1
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
17
17
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
1
1
1
21
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
7
1
7
1
1
1
1
1
1
1
1
2
1
1
1
7
1
3
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
9
4
1
1
2
3
3
4
1
3
4
1
1
6
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
2
3
2
1
1
1
1
3
3
3
1
28
1
3
3
1
1
1
1
2
315
3
2
3
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
2
1
2
1
1
1
3
1
1
2
1
1
3
3
1
1
1
5
1
11
1
1
2
1
5
1
3
1
1
1
1
1
3
1
1
2
1
2
3
1
1
1
3
5
1
1
6
6
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
3
3
1
1
110
5
1
2
3
1
2
3
17
3
1
1
1
1
3
1
2
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
2
5
1
1
1
3
3
4
2
2
11
3
7
3
1
1
5
1
3
1
2
1
11
1
1
1
1
1
1
1
1
1
1
1
3
1
5
1
1
1
1
2
1
1
1
1
1
3
3
1
3
1
1
3
1
2
1
1
3
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
2
7
1
2
5
1
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
11
1
2
1
3
9
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
11
2
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
2
1
3
2
3
1
1
1
1
1
1
1
62
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
64
1
2
3
3
1
3
1
1
1
1
1
1
3
209
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
19
2
4
1
1
27
1
1
1
2
1
3
3
11
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
2
19
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
5
3
2
3
1
2
3
3
1
3
3
1
1
2
5
1
2
5
3
1
3
3
1
3
1
2
3
1
1
1
3
1
1
7
3
2
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
1
1
11
1
1
3
1
2
1
1
1
1
1
81
3
2
5
1
3
2
1
2
2
8
2
1
1
1
3
3
1
1
1
3
5
1
1
1
1
1
1
1
1
2
1
1
1
3
1
3
3
2
3
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
1
3
1
1
3
2
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
5
1
1
1
3
3
1
3
2
130
1
2
1
1
1
2
1
1
3
1
7
2
5
1
9
1
1
1
1
1
25
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
3
1
3
3
2
7
1
1
3
1
13
1
1
1
1
1
5
1
1
2
11
1
5
2
1
1
1
1
2
3
1
1
1
1
1
5
5
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
5
1
3
1
1
1
221
2
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
5
1
1
1
5
3
3
1
1
3
5
1
1
1
3
3
1
1
1
1
2
1
3
1
1
1
10
1
1
1
2
2
1
1
1
1
1
2
3
1
1
5
7
1
1
3
3
1
1
1
2
2
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
1
1
5
3
1
1
1
1
2
3
5
1
3
1
1
1
3
7
1
2
1
1
1
1
2
2
1
1
3
1
1
30
1
1
1
5
1
1
1
1
1
7
3
1
1
5
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
1
3
7
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
5
1
1
4
3
1
1
1
2
2
1
1
6
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
9
3
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
8
1
1
1
1
3
1
3
2
3
3
2
1
2
1
2
1
1
3
1
1
1
1
1
3
1
2
4
2
3
1
1
1
3
31
7
1
1
1
1
3
2
3
3
3
1
4
1
1
2
1
13
1
1
1
1
1
5
1
2
3
2
1
1
1
1
145
45
1
1
29
1
1
1
2
1
1
3
1
1
1
1
181
2
1
1
13
14
3
1
3
1
1
1
1
1
3
3
1
1
25
3
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
2
1
1
3
5
1
1
2
1
1
2
2
13
2
2
3
3
1
3
1
3
3
1
1
5
51
9
1
1
3
1
1
1
1
1
3
1
1
1
1
3
2
9
3
1
4
1
1
3
1
1
3
2
1
3
1
1
2
5
1
2
3
13
1
3
2
1
3
1
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
5
1
1
3
1
3
5
1
1
2
1
3
1
2
3
1
11
1
1
3
1
1
3
1
1
1
3
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
3
2
1
5
2
1
1
1
1
2
3
1
1580
1
1
1
1
1
2
1
1
1
2
3
1
1
3
1
1
22
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
4
1
1
1
1
1
3
5
1
5
1
1
1
1
1
1
1
2
1
1
3
1
3
1
2
3
11
2
1
1
3
1
4
2
1
2
1
1
2
2
1
25
1
3
6
1
1
1
1
1
3
3
1
3
1
1
1
1
2
2
1
11
3
7
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
2
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
2
1
3
3
1
1
3
1
2
1
2
1
2
3
1
5
7
3
4
1
3
1
1
1
3
1
1
1
1
6
1
1
1
2
1
1
1
1
3
5
1
1
1
1
9
5
2
1
1
1
5
7
1
1
1
1
1
1
1
1
1
3
3
3
3
1
5
1
3
3
23
1
1
1
1
3
1
1
5
1
1
1
3
1
1
1
1
1
1
8
3
1
2
1
3
1
3
1
1
1
1
2
3
1
1
14
2
1
1
1
1
1
3
1
1
3
1
3
3
2
3
1
1
1
1
1
1
1
1
3
3
1
1
1
3
3
407
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
5
2
3
1
1
1
1
2
1
3
1
1
1
1
1
1
7
1
3
1
1
5
2
1
3
1
3
1
3
4
2
3
1
7
1
1
1
1
1
1
3
1
1
1
1
5
1
17
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
3
1
1
3
11
1
1
2
1
2
1
1
3
23
2
1
1
1
15
1
9
1
1
1
2
1
1
1
1
3
1
1
2
1
5
1
2
1
1
3
1
5
1
1
1
2
5
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
17
3
1
1
1
7
1
1
19
1
3
6
1
1
1
2
2
1
2
5
9
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
2
3
13
5
1
1
3
1
2
1
3
1
2
2
3
1
1
1
3
1
3
1
2
1
1
2
1
1
1
1
1
1
3
3
3
2
1
2
3
1
1
1
3
1
1
1
1
3
2
3
1
1
1
69
1
3
2
1
1
1
1
1
55
1
1
1
2
1
1
1
3
2
3
1
1
1
1
2
1
4
1
1
1
4
2
5
1
3
3
1
3
1
1
1
9
1
3
2
3
3
6
3
1
1
1
1
17
1
1
7
1
1
2
1
1
1
1
7
2
1
1
3
1
1
5
1
1
1
3
1
1
5
3
3
1
2
1
1
17
1
1
5
2
1
1
1
3
3
43
1
3
1
1
1
1
1
1
1
5
1
1
2
2
3
1
1
1
1
1
1
1
79
1
2
3
1
3
1
1
3
1
2
1
1
1
11
1
1
2
1
2
3
2
1
1
1
4
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
2
29
1
1
1
22
14
5
6
1
1
2
1
1
1
1
1
1
1
9
1
19
1
5
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
1
2
4
13
3
1
1
1
59
2
3
1
1
1
3
1
1
3
1
1
1
1
3
1
5
8
7
1
1
3
1
1
5
5
5
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
3
2
1
8
2
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
3
7
1
1
2
1
7
3
3
3
1
1
3
1
1
1
1
1
5
3
3
3
3
1
9
1
1
1
1
1
1
1
1
2
1
7
1
1
1
1
1
1
3
1
1
19
1
1
1
2
1
1
1
1
3
1
1
1
3
3
1
1
3
1
3
1
1
1
1
1
1
2
1
3
7
3
1
1
1
23
1
1
2
4
1
3
4
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
2
5
3
1
3
1
13
1
1
1
1
2
1
1
1
14
7
1
1
1
3
1
5
1
3
3
1
1
1
1
1
3
3
1
3
1
1
3
1
4
1
3
1
1
1
1
2
1
3
3
1
1
1
3
3
1
1
1
1
1
6
1
8
1
1
3
4
1
1
3
2
1
1
3
1
1
2
3
3
1
2
1
3
3
1
1
2
3
15
1
1
1
1
1
1
12
1
3
1
3
3
1
1
8
1
1
1
1
1
1
1
3
1
15
1
5
6
1
3
1
1
677
5
1
4
2
3
1
1
1
1
1
2
1
1
1
1
2
1
1
189
7
3
1
2
3
1
1
1
1
2
1
5
3
1
3
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
3
1
3
3
1
1
3
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
5
1
13
2
3
1
1
1
2
1
1
7
3
13
1
1
152
1
1
1
3
1
1
1
1
1
1
1
1
1
1
9
4
3
3
1
1
1
3
1
1
21
1
1
1
3
1
1
1
2
1
1
1
2
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
5
1
2
3
1
3
1
1
2
1
3
1
2
2
5
3
1
1
1
1
7
1
2
1
1
2
1
1
2
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
5
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
4
1
1
1
1
2
3
1
2
1
3
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
5
3
1
3
1
1
1
1
1
1
1
3
1
9
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
9
1
3
3
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
3
1
5
1
3
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
13
1
2
1
1
1
1
1
1
1
2
1
1
1
1
11
3
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
3
1
2
1
2
1
3
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
5
1
1
1
7
1
1
1
1
1
1
3
1
3
2
3
1
1
1
1
1
1
9
1
3
9
1
5
1
3
1
1
1
1
11
1
1
1
3
1
5
3
1
3
3
1
1
1
1
5
5
1
1
2
1
1
1
1
3
1
2
3
1
4
3
1
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
2
1
1
1
1
3
1
3
1
2
1
3
1
5
1
1
1
1
1
3
1
9
2
1
3
1
3
1
3
1
7
1
3
1
3
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
1
1
7
3
1
2
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
3
5
3
3
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
2
1
1
2
1
1
5
1
1
2
1
1
1
1
1
1
1
2
7
1
3
1
1
1
1
2
15
1
1
1
3
13
1
1
1
1
1
3
1
1
1
5
5
1
1
1
1
2
1
1
1
1
59
3
1
1
2
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
1
1
1
3
9
1
1
1
5
1
1
1
1
1
7
1
1
1
1
1
3
1
1
1
3
3
1
1
15
1
13
3
3
2
3
1
2
1
2
3
5
3
1
1
1
3
3
1
1
2
1
1
1
1
67
1
1
3
1
2
2
1
1
1
3
1
3
3
1
2
3
5
3
1
1
5
2
1
1
1
1
3
1
4
3
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
2
1
1
1
1
7
3
2
1
1
1
3
1
1
5
1
5
1
3
1
1
2
1
1
3
3
1
1
3
1
1
1
1
2
1
3
3
1
1
1
1
2
1
1
1
1
1
1
7
1
1
1
3
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
3
7
1
7
4
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
3
1
4
6
2
3
1
1
1
1
1
1
1
1
6
5
7
1
1
1
1
1
1
3
1
7
1
1
1
1
2
1
1
1
5
1
3
1
1
1
1
1
1
1
1
2
7
1
1
2
1
3
1
1
3
1
1
1
3
1
3
3
5
3
1
3
1
1
1
1
2
1
3
1
1
3
3
1
2
1
1
1
2
1
1
3
2
3
1
1
3
3
1
1
1
3
1
1
2
1
1
7
1
1
1
3
1
3
5
3
3
1
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
1
91
1
5
3
1
1
1
2
1
2
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
2
4
3
1
3
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
7
1
1
1
1
1
1
1
3
2
3
3
1
1
7
3
1
2
1
1
4
3
11
1
3
1
1
9
1
1
1
3
47
1
1
2
5
7
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
5
1
5
1
2
1
1
1
1
1
2
2
3
3
1
2
3
1
1
1
1
1
3
3
1
3
1
1
1
2
1
1
3
1
2
1
2
1
1
1
3
1
1
1
3
1
1
1
2
1
1
59
5
1
1
5
1
1
7
1
3
5
1
3
1
8
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
3
3
7
1
9
1
2
1
1
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
3
1
2
3
3
1
1
1
5
1
3
5
10
1
1
1
3
1
1
17
1
1
3
1
1
1
5
1
1
1
1
1
3
3
7
1
3
1
3
2
1
1
1
1
1
20
1
3
1
1
3
1
1
3
1
1
19
1
1
1
1
3
5
1
1
2
1
23
1
2
3
9
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
7
1
1
3
1
1
1
2
85
1
3
2
1
1
1
1
2
1
1
3
1
1
3
1
5
7
1
1
1
1
7
1
3
1
4
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
3
2
3
1
1
3
1
1
1
3
11
2
1
1
1
7
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
3
3
3
1
7
3
3
1
1
1
1
1
5
1
1
2
1
47
1
2
1
1
1
1
5
5
1
1
2
2
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
3
3
2
1
1
1
3
1
1
9
4
7
5
1
1
3
4
3
3
9
1
2
3
1
1
1
1
1
1
4
3
17
1
1
1
1
1
2
1
1
1
3
3
1
1
2
1
1
1
3
3
1
3
1
3
1
1
1
3
1
3
1
1
1
3
11
2
1
1
1
2
5
1
1
1
1
3
1
1
1
1
3
127
1
1
1
1
1
1
1
1
1
1
4
3
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
3
3
1
3
5
1
1
1
3
1
1
3
1
1
1
2
1
1
1
4
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
17
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
3
4
2
1
1
5
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
3
1
1
3
3
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
3
4
1
1
6
1
1
3
3
2
1
1
1
1
11
2
1
1
1
1
3
1
1
7
1
1
3
1
1
1
1
3
1
1
1
3
1
1
5
3
1
3
1
4
1
2
2
1
1
3
1
1
1
3
1
1
1
1
1
5
5
1
1
1
2
3
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
3
1
2
1
3
5
1
2
1
19
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
3
1
1
1
1
1
1
3
1
7
5
2
3
1
2
1
1
3
1
2
11
1
1
3
1
1
3
5
1
2
1
1
1
1
1
1
1
3
3
3
1
1
1
11
1
3
1
1
1
7
3
1
1
51
5
1
1
3
1
3
1
1
1
5
1
3
3
1
1
1
1
1
7
2
1
2
1
1
2
1
3
2
1
3
5
1
3
1
1
1
5
1
3
1
1
1
1
1
2
1
4
1
1
2
1
1
3
1
3
7
1
1
1
3
1
1
2
1
3
1
1
3
1
2
3
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
2
1
27
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
4
7
2
2
1
2
1
2
1
1
1
1
3
18
2
5
1
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
11
1
1
1
1
1
2
1
1
1
3
39
1
3
3
1
1
1
1
1
3
4
1
1
1
1
1
1
5
1
1
91
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
2
1
303
1
1
1
2
1
1
1
1
3
1
1
3
1
1
6
1
1
1
5
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
2
1
1
3
3
5
1
1
3
3
1
1
1
1
6
5
1
1
1
1
3
1
3
1
1
3
1
2
1
1
1
1
2
3
1
2
1
3
3
1
1
1
1
1
1
2
1
2
2
1
1
3
1
4
1
3
1
1
17
2
3
3
1
3
1
1
37
1
3
5
4
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
3
3
3
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
2
5
2
1
11
1
1
3
1
1
1
2
1
1
3
1
1
2
2
69
1
1
3
1
3
1
1
1
1
1
3
2
1
3
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
3
1
1
5
1
1
1
1
3
3
1
3
9
1
6
1
5
1
1
1
1
1
3
1
3
1
1
1
8
4
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
106
1
1
3
2
1
1
3
1
3
1
1
1
19
1
4
3
1
1
1
1
29
3
1
1
1
1
1
1
1
3
1
4
3
3
1
1
1
1
1
1
1
1
1
2
1
1
5
3
3
1
2
1
2
2
3
1
11
3
1
2
1
3
1
1
1
3
3
3
1
5
1
3
1
2
1
1
1
3
1
2
6
1
1
1
3
1
1
1
1
2
1
1
2
3
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
6
5
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
2
3
3
2
5
2
1
1
1
1
1
1
1
3
3
1
3
2
1
1
1
1
5
3
1
3
2
1
6
2
3
1
2
1
9
1
3
1
2
1
2
1
4
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
2
1
5
1
1
1
3
1
1
1
1
2
2
1
3
21
1
1
3
1
1
7
1
1
1
1
1
3
4
1
1
1
3
3
1
1
1
3
105
3
1
5
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
2
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
30
1
1
2
1
6
3
3
1
1
2
3
3
4
1
1
7
1
2
1
3
15
1
9
1
2
1
1
1
15
3
1
2
2
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
9
1
2
3
1
3
1
1
2
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
4
1
1
3
2
1
1
2
1
1
1
1
1
11
1
1
1
1
1
2
1
1
1
1
7
4
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
2
2
1
1
2
3
3
1
2
5
1
2
1
1
1
2
1
2
1
1
1
3
5
4
1
19
1
1
1
1
1
7
3
1
1
1
5
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
7
1
1
2
1
10
1
1
3
3
9
1
260
1
3
3
1
1
1
3
4
1
1
1
2
1
3
7
3
1
2
1
1
1
2
1
1
3
1
1
1
3
1
4
1
5
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
7
5
1
81
1
1
31
1
3
1
1
3
1
2
1
1
3
2
3
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
5
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
3
3
3
4
1
1
1
1
1
1
3
2
1
1
3
1
3
1
3
5
1
1
1
2
1
1
2
3
1
1
1
1
1
1
1
2
3
4
9
1
1
1
1
17
1
1
6
9
3
1
1
2
1
1
3
1
2
3
1
31
1
1
3
2
1
2
3
1
1
1
1
1
5
1
1
2
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
1
5
2
1
3
1
1
1
58
1
2
1
3
2
1
1
3
1
1
1
1
2
3
1
1
1
1
3
2
1
3
1
3
1
1
1
1
3
3
1
1
3
4
4
1
1
1
5
1
3
5
1
1
3
2
5
1
1
1
2
1
3
2
1
1
1
1
1
1
1
3
9
3
1
1
1
5
1
9
1
1
1
3
2
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
14
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
5
1
5
1
1
1
18
1
3
1
1
1
1
3
1
1
1
1
3
1
3
3
3
1
1
19
1
1
1
1
1
5
5
1
1
1
2
1
3
1
1
3
2
5
3
1
1
1
1
1
1
3
1
3
1
2
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
3
1
3
1
1
1
3
2
1
1
1
1
3
1
1
1
3
1
1
1
10
1
11
1
1
2
1
2
1
4
1
2
13
1
16
1
1
1
3
1
1
1
1
1
37
1
1
1
1
1
1
1
5
2
2
1
2
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
3
3
4
1
1
1
1
1
2
1
5
7
3
2
1
1
3
1
3
52
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
6
3
3
3
33
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
1
1
3
4
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
7
1
3
1
4
1
1
2
1
3
1
1
1
1
6
3
1
1
1
1
1
3
1
1
1
2
1
1
3
3
1
1
1
3
1
19
3
1
1
1
5
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
2
1
3
1
1
2
1
7
3
1
3
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
4
1
1
1
1
3
1
1
1
23
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
4
1
1
86
1
1
1
1
3
1
1
1
7
1
7
1
294
1
1
1
1
2
1
1
1
2
3
1
5
1
1
3
1
3
1
1
1
5
1
1
1
1
1
2
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
2
1
1
1
3
1
21
1
2
1
1
3
1
1
2
5
2
3
1
1
1
3
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
3
1
1
5
1
1
3
1
1
2
2
1
1
1
3
1
1
1
1
19
2
2
1
1
1
1
1
1
1
1
1
1
1
2
6
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
3
13
3
1
4
1
3
1
1
5
1
1
1
5
1
1
1
1
11
3
1
1
1
3
1
1
3
1
3
1
1
3
2
2
1
3
1
1
1
1
1
1
2
1
3
3
5
1
1
1
1
1
1
1
1
1
1
4
3
4
1
1
2
3
4
11
1
1
3
1
1
1
3
3
5
1
1
1
1
1
4
3
1
1
1
1
2
5
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
5
3
1
1
1
1
3
1
3
1
5
1
5
1
2
1
1
1
1
1
5
2
2
1
1
1
5
1
1
5
1
1
3
1
1
1
15
1
1
1
1
2
1
7
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
1
2
1
1
3
3
3
3
1
1
1
1
5
1
1
1
2
1
1
5
3
1
1
1
1
1
1
1
3
1
1
1
3
1
3
1
1
14
1
5
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
4
3
1
3
1
3
3
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
15
3
3
1
5
1
2
2
1
2
1
4
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
2
1
1
2
1
2
2
3
1
1
1
1
1
1
2
1
1
3
19
1
1
2
1
2
1
1
1
3
3
1
2
1
1
11
2
1
1
1
1
1
3
1
3
7
5
1
1
3
1
4
1
1
1
1
1
1
3
3
1
1
1
1
4
1
11
3
1
2
1
1
1
1
3
1
5
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
3
1
3
1
8
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
3
1
1
1
2
1
3
4
1
1
1
3
1
3
1
1
1
1
2
3
3
2
2
1
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
2
2
1
1
3
1
1
1
14
3
1
1
1
1
1
3
1
3
1
1
3
13
1
1
1
1
3
40
1
1
1
2
3
1
16
2
2
1
1
7
1
1
1
1
1
1
1
1
2
1
1
5
1
3
1
3
1
1
2
1
1
1
1
17
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
3
2
7
1
1
3
1
2
2
1
3
5
1
4
3
1
1
3
1
1
1
2
1
1
1
1
1
3
3
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
5
2
3
2
3
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
3
1
3
3
1
1
1
1
1
1
13
9
1
1
1
7
1
1
1
3
1
1
5
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
3
11
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
2
3
1
1
3
1
3
5
1
1
1
3
2
1
1
3
1
1
3
6
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
7
2
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
3
2
1
1
3
1
1
3
1
1
1
7
1
1
1
2
1
10
1
1
1
1
3
1
11
1
2
1
1
1
2
1
1
1
1
1
3
1
2
1
1
6
1
1
2
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
13
1
3
1
1
17
3
3
2
1
1
1
31
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
6
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
7
3
1
1
4
1
1
1
3
3
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
3
1
1
1
1
1
1
7
3
1
1
3
5
1
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
9
1
2
2
1
3
1
1
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
3
1
3
19
3
1
1
1
1
4
1
1
1
1
6
1
3
1
1
1
1
1
1
1
7
21
1
1
1
7
1
3
1
2
2
2
1
1
1
1
1
5
1
26
1
3
1
1
1
3
1
1
1
8
3
1
2
1
3
1
5
1
8
1
1
1
3
3
1
3
2
1
1
1
5
1
2
1
1
1
3
5
1
3
3
2
25
2
5
1
1
3
1
3
11
1
1
1
1
1
21
1
1
1
1
4
3
3
1
1
2
1
2
3
1
1
2
1
1
22
3
1
1
2
1
1
3
2
38
1
1
2
3
1
1
1
5
1
1
1
1
1
1
3
3
1
3
1
3
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
2
7
44
1
7
1
1
79
1
1
1
2
1
7
3
1
15
1
1
3
1
3
3
1
1
1
2
1
1
1
1
1
1
2
5
1
2
3
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
4
7
3
3
20
2
2
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
9
1
1
151
1
1
1
1
1
5
1
1
5
1
2
2
3
1
1
1
3
1
2
2
1
1
1
1
1
3
3
1
1
1
7
1
1
1
3
2
3
1
2
2
1
3
1
1
1
1
3
1
1
71
1
1
4
1
1
1
1
1
5
1
1
1
2
1
1
1
5
3
1
17
1
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
2
1
1
17
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
2
2
1
1
3
1
3
5
1
1
1
3
1
5
3
2
1
7
1
1
1
1
22
1
1
1
1
1
2
1
1
1
1
2
3
1
1
2
1
4
2
2
1
1
1
3
1
1
5
3
5
3
7
9
1
9
1
2
3
3
9
1
9
1
1
1
3
1
1
1
1
1
1
4
3
1
1
1
3
3
1
1
1
1
4
1
1
1
2
1
2
1
5
1
1
1
1
1
1
3
1
2
9
2
1
1
1
1
3
1
1
2
1
1
2
3
1
1
1
1
1
31
1
2
1
4
1
1
3
1
5
1
1
1
2
1
1
1
3
1
1
1
2
1
1
3
1
1
3
3
4
1
1
3
7
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
3
9
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
11
1
2
1
1
1
1
3
1
1
1
3
1
1
1
1
7
1
1
1
1
1
3
3
1
1
1
8
1
1
3
3
3
3
2
2
1
5
1
1
1
1
13
1
3
2
3
2
2
3
1
4
3
1
1
2
1
1
1
1
1
1
3
1
1
7
1
1
5
1
1
1
1
2
2
5
3
1
1
1
7
1
1
1
2
1
1
1
1
1
31
3
1
3
1
1
3
9
1
1
1
3
1
3
1
1
1
2
1
1
3
91
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
2
1
3
1
1
3
3
2
1
1
3
1
1
1
7
3
1
1
1
3
3
3
1
5
1
22
3
2
1
2
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
4
43
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
2
1
11
1
2
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
5
2
1
3
1
3
3
3
1
1
1
1
1
1
1
5
1
1
1
1
4
3
1
9
1
1
1
3
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
6
1
1
1
1
1
2
3
1
2
3
1
11
1
1
1
9
1
1
1
19
1
1
1
2
1
1
1
1
1
1
3
5
3
2
1
3
1
3
1
1
1
3
1
11
1
3
1
3
1
7
1
1
1
1
1
3
1
1
25
3
1
3
1
3
3
1
1
1
3
1
1
1
1
1
7
2
6
1
1
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
43
1
9
1
1
1
1
1
1
1
5
1
5
4
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
3
1
3
1
1
1
3
3
1
1
1
3
1
2
3
1
1
1
1
3
3
1
1
3
1
1
1
2
3
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
3
1
3
1
2
2
1
3
1
1
3
3
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
7
2
1
1
1
1
1
3
2
3
3
1
1
5
1
1
1
1
1
1
3
3
3
2
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
5
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
9
1
1
1
2
1
1
1
1
1
5
1
1
1
3
4
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
207
5
3
1
1
1
3
1
5
2
1
1
1
3
3
1
1
2
1
4
1
1
1
3
1
1
1
4
1
1
3
2
1
92
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
6
1
1
3
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
3
2
1
1
3
1
1
1
1
1
2
2
2
3
1
1
1
3
1
1
1
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
91
1
75
1
2
1
3
3
2
21
1
1
1
1
1
4
1
1
3
1
1
2
3
1
1
1
1
1
3
1
1
3
1
18
1
1
1
1
1
1
1
1
4
3
1
3
2
1
1
2
2
1
1
5
1
1
1
1
1
3
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
2
2
1
33
5
1
1
1
1
146
1
1
1
5
2
1
11
5
2
7
1
1
1
1
5
1
2
1
1
11
1
1
1
1
13
2
1
3
3
1
3
1
2
1
2
4
9
3
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
3
3
4
1
1
2
5
1
2
5
2
3
3
1
1
1
9
3
1
1
1
1
1
13
3
1
1
1
2
1
1
3
1
1
1
1
1
5
2
3
1
3
1
1
3
3
3
1
1
7
1
1
4
1
1
1
3
1
1
13
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
6
1
3
1
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
7
3
1
1
1
2
4
1
3
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
1
3
1
1
3
1
1
5
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
5
1
7
3
3
2
1
1
1
1
1
1
1
1
1
1
5
3
1
1
3
1
3
3
5
1
1
1
1
3
2
1
1
1
3
1
7
2
1
1
1
1
1
1
5
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
1
2
5
9
1
1
1
11
1
1
5
1
3
1
3
1
1
8
8
1
1
1
3
1
1
2
5
1
19
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
4
1
3
1
7
3
1
3
2
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
9
1
1
1
1
2
1
1
1
5
2
1
7
2
3
2
2
3
5
1
1
1
3
3
1
3
5
7
1
1
3
4
4
1
3
1
3
1
2
1
4
1
1
3
1
1
2
1
1
4
1
3
3
1
1
1
1
1
1
2
1
4
17
1
1
1
1
1
5
1
3
1
1
3
1
1
3
3
5
1
4
1
1
3
1
1
3
1
2
1
3
1
3
3
3
1
3
1
2
1
3
1
1
1
1
4
1
1
5
1
1
3
3
3
1
3
1
1
1
21
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
1
7
1
1
3
1
2
1
13
1
1
1
3
3
3
1
1
2
1
1
5
1
1
1
3
5
1
5
1
2
3
1
1
1
1
1
1
1
3
1
1
1
5
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
5
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
6
3
1
1
2
3
1
1
3
3
1
3
2
1
1
1
1
1
1
1
2
18
3
3
1
1
1
1
1
1
1
2
3
2
2
3
4
1
1
1
1
19
1
2
1
1
2
3
2
5
2
1
1
1
3
1
1
1
3
1
3
1
2
1
1
1
1
2
1
1
1
1
3
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
2
2
3
2
1
2
1
1
1
1
25
2
3
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
5
1
7
1
3
2
1
1
3
3
1
1
2
1
5
1
1
4
1
1
7
1
2
1
1
1
1
1
5
3
3
1
1
1
1
3
6
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
9
2
1
1
3
1
3
1
1
4
2
1
2
1
1
1
1
1
3
2
3
1
3
7
1
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
2
1
2
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
11
1
1
3
2
1
1
1
1
4
1
4
1
3
1
1
1
1
1
9
5
1
5
1
2
1
1
4
1
1
3
2
3
1
1
5
1
1
3
1
2
1
1
5
2
1
1
1
1
1
5
2
3
1
3
1
1
3
1
1
2
7
1
1
1
3
1
1
1
1
3
1
3
3
3
1
2
1
1
1
2
5
1
2
1
1
1
1
1
11
1
1
1
1
1
7
1
3
351
2
3
1
1
4
1
1
3
1
3
3
1
3
1
3
1
1
1
1
5
1
3
1
1
1
1
2
1
3
1
1
1
3
5
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
3
3
3
1
1
3
1
5
1
1
1
1
3
2
1
2
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
4
1
3
3
1
1
1
3
1
2
1
1
1
1
1
3
2
1
1
3
1
5
1
2
1
1
1
1
3
3
1
1
1
1
1
2
3
1
3
1
3
1
1
3
3
1
2
1
1
1
1
9
4
1
7
1
1
5
1
2
3
1
1
1
3
8
2
2
2
1
1
13
1
1
1
1
3
1015
3
1
2
3
1
1
1
3
1
1
1
3
5
1
3
1
1
1
1
1
1
1
3
8
1
1
1
1
1
1
1
3
2
1
1
2
1
1
5
1
28
1
1
2
1
1
1
1
3
2
1
2
3
1
1
1
1
1
2
1
1
3
3
1
4
1
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
3
1
2
1
2
3
2
7
3
3
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
3
1
5
1
3
1
3
1
2
19
1
2
1
3
1
4
1
1
2
1
1
1
1
3
1
3
1
5
1
3
3
1
1
1
1
7
1
5
1
3
3
2
1
1
1
1
3
3
9
1
1
1
2
1
1
1
1
1
3
3
1
3
1
11
1
1
1
1
1
1
1
115
1
1
1
3
1
1
4
1
1
1
1
1
3
2
2
1
19
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
3
3
1
1
3
1
1
1
1
1
3
1
7
1
3
1
1
3
2
3
1
3
1
1
1
1
1
1
3
1
2
7
1
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
4
1
1
5
1
3
1
1
1
1
2
1
2
1
3
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
8
1
1
1
1
1
11
1
1
1
1
1
2
3
1
3
1
9
1
3
1
1
1
1
1
1
1
3
1
2
1
1
4
1
15
1
2
1
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
5
1
5
1
1
3
3
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
1
3
1
3
1
1
1
5
5
1
1
1
1
11
2
1
1
1
1
1
3
3
9
1
9
3
1
3
3
1
1
1
13
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
3
3
1
1
3
3
1
1
1
1
1
1
1
1
4
3
1
3
5
1
1
1
3
1
1
1
3
3
6
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
5
1
3
1
1
3
1
3
4
2
1
1
2
13
1
1
1
1
1
4
3
1
1
1
2
1
3
1
1
3
1
1
1
1
2
3
1
1
1
1
3
1
1
1
3
1
3
3
1
1
1
1
1
35
1
2
1
5
1
2
1
1
1
1
2
1
1
2
8
3
3
1
1
1
1
2
9
1
1
1
3
2
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
1
2
3
1
1
1
5
1
1
1
1
1
3
1
1
3
1
1
2
1
3
1
1
11
2
1
1
1
1
2
1
2
2
3
5
3
15
3
1
1
1
1
5
1
3
1
1
1
1
2
1
1
3
1
1
1
15
3
1
1
1
3
3
1
3
1
5
1
1
1
3
3
1
1
1
1
1
3
1
3
3
1
1
1
3
1
37
3
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
3
3
2
1
3
1
1
3
15
2
1
1
1
1
3
1
5
1
7
2
1
3
1
1
1
3
1
1
1
6
2
1
3
1
1
1
1
1
1
3
3
3
1
1
2
3
3
1
1
5
1
1
1
3
1
3
1
1
4
76
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
13
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
3
1
1
1
1
1
3
1
1
2
2
2
7
1
1
5
2
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
2
4
1
1
25
1
1
3
1
1
1
1
3
1
2
1
41
1
1
3
1
1
1
2
1
1
7
1
1
1
1
2
3
1
2
3
1
2
2
1
1
1
1
3
3
1
1
1
3
1
1
1
3
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
3
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
11
1
3
3
1
1
1
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
2
1
1
1
1
2
3
1
3
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
3
2
17
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
3
1
3
1
5
1
1
1
1
1
1
3
1
3
1
1
1
5
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
8
1
1
1
1
1
6
2
2
3
2
3
2
1
1
1
5
1
1
1
1
3
1
1
1
3
1
3
1
1
1
3
1
1
2
1
7
1
3
1
1
1
2
3
15
3
2
1
1
1
1
3
1
2
3
1
5
3
1
1
1
3
2
1
1
1
3
1
1
1
1
5
2
7
3
1
1
1
1
11
3
1
3
1
1
1
1
1
1
1
2
1
5
1
3
2
1
2
3
1
1
8
1
1
2
1
1
2
3
1
1
1
3
1
1
1
2
4
1
1
1
1
1
1
5
1
3
1
97
1
5
3
1
3
1
1
1
1
1
1
5
1
3
3
3
1
3
1
3
1
1
1
3
1
1
2
5
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
3
5
67
2
3
2
1
1
1
2
7
1
9
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
1
1
1
3
1
3
1
3
1
1
2
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
4
3
1
1
2
1
1
1
1
1
1
2
3
19
1
1
7
2
2
3
14
1
5
1
1
1
1
1
5
3
1
1
1
3
7
1
1
1
1
2
2
1
3
3
3
1
1
1
2
1
2
3
1
1
1
9
3
10
1
1
5
2
1
27
1
1
1
1
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
3
3
3
1
2
1
1
3
1
1
1
8
1
1
1
14
3
1
1
1
1
1
1
3
1
2
1
3
1
1
2
1
1
3
1
3
6
13
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
1
1
1
1
2
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
10
7
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
3
1
1
17
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
3
1
1
3
1
3
2
3
2
3
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
2
2
3
3
1
1
1
7
3
1
1
5
3
3
1
3
3
3
2
1
1
1
3
3
1
1
3
2
3
3
1
1
3
2
1
5
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
3
1
1
3
1
1
1
1
3
1
1
3
2
1
2
2
13
3
1
1
1
1
1
1
5
1
9
1
4
1
1
1
1
1
1
3
3
3
1
3
3
1
1
3
4
30
1
1
1
1
1
2
1
1
1
11
7
7
1
3
1
1
1
1
3
1
3
2
1
121
1
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
2
3
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
13
3
1
5
1
1
1
3
3
1
1
1
1
1
3
1
2
1
1
5
1
1
1
3
1
2
1
7
3
3
1
3
1
1
1
5
2
1
3
1
1
1
1
5
5
1
1
3
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
349
1
1
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
117
7
1
1
2
1
1
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
15
1
1
1
3
1
1
1
1
1
2
1
1
8
1
1
3
1
1
1
1
6
2
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
3
1
3
1
1
1
5
3
3
1
1
3
1
9
1
1
2
13
7
5
3
2
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
3
1
1
3
1
1
2
1
3
1
2
1
1
2
4
2
3
1
1
1
1
2
2
1
1
1
1
3
2
3
1
1
1
1
2
3
1
2
3
3
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
3
2
1
2
1
1
7
1
1
1
1
2
3
1
1
13
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
3
1
4
1
3
3
3
1
1
1
4
5
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
1
1
3
1
4
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
1
16
1
3
3
1
1
2
1
2
9
1
1
1
8
2
1
3
1
3
2
1
1
2
2
1
3
1
1
3
5
1
3
1
29
1
1
1
1
1
1
1
1
3
1
6
1
2
2
1
1
1
1
1
1
1
1
203
1
3
1
5
1
1
2
3
1
3
2
1
1
1
4
1
1
4
2
1
1
3
1
1
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
3
2
3
1
1
2
1
1
1
5
3
2
1
1
1
1
3
1
3
1
2
1
2
1
1
1
1
7
1
3
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
2
1
1
2
1
2
1
1
1
1
1
3
2
1
1
1
1
3
3
1
2
1
5
1
3
1
1
1
2
1
5
3
1
2
1
5
4
1
2
5
1
1
1
5
2
1
1
1
1
1
2
1
2
1
1
1
1
11
5
1
1
1
1
1
3
1
1
2
1
3
1
5
1
4
1
1
1
3
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
3
1
3
1
3
1
2
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
9
1
1
1
4
1
1
7
1
1
1
2
1
2
1
1
2
1
1
3
3
1
3
1
3
1
3
1
3
1
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
3
1
1
1
3
1
3
2
1
1
1
1
8
1
3
1
3
1
2
1
3
1
1
1
5
1
1
2
11
2
2
1
1
1
1
1
3
1
2
3
1
3
1
22
2
1
1
1
1
1
4
3
1
1
8
1
2
1
2
2
1
7
1
1
1
3
1
1
1
1
3
5
5
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
5
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
2
3
1
3
3
1
1
1
2
1
3
1
2
7
1
1
3
1
1
1
1
25
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
3
5
1
1
2
1
1
1
46
1
1
3
3
1
1
1
1
2
1
1
1
1
3
9
1
1
11
1
2
1
1
1
1
3
1
1
1
2
1
3
1
2
1
1
2
3
1
1
1
3
6
1
3
1
1
1
1
1
1
1
1
29
1
1
12
3
1
2
1
1
1
1
9
1
2
1
1
1
1
2
3
3
324
1
3
3
3
1
1
1
1
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
3
8
1
9
1
1
1
1
11
3
1
3
1
3
5
2
2
1
5
1
2
1
3
7
1
3
1
1
3
1
1
3
3
9
3
1
1
3
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
9
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
1
1
2
462
1
2
1
3
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
2
1
1
12
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
3
1
1
1
1
11
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
3
1
1
1
4
3
1
1
2
1
1
13
1
1
1
3
1
3
1
1
1
3
1
1
1
2
3
3
1
2
1
1
1
1
9
1
3
1
1
1
1
1
1
1
2
3
131
3
1
1
1
1
1
1
5
1
1
3
2
1
3
1
3
1
1
7
1
1
3
3
1
1
1
9
1
1
1
1
1
1
3
3
3
1
1
3
1
3
1
2
1
1
1
3
1
2
2
1
2
9
1
1
1
5
2
2
3
2
1
1
1
1
1
13
1
1
3
3
1
4
1
3
1
1
1
1
1
1
1
1
2
3
1
3
2
3
1
2
1
2
1
4
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
3
1
3
2
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
3
3
3
3
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
3
1
3
1
1
1
1
27
2
1
2
1
1
1
1
1
1
1
1
2
13
3
1
3
3
1
3
1
1
1
1
1
2
3
3
1
3
1
1
1
1
1
3
1
5
3
3
1
1
2
1
7
1
1
2
3
1
1
1
3
2
1
3
1
1
1
1
1
1
3
1
1
3
1
5
1
3
3
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
3
6
7
3
3
1
1
1
3
1
3
1
3
1
4
1
1
5
2
3
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
3
5
2
1
3
1
1
107
1
3
1
2
1
1
1
7
3
1
1
1
1
2
1
1
1
3
1
2
1
1
4
1
7
1
3
1
1
1
1
1
1
7
1
1
3
1
4
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
5
1
3
3
1
2
1
1
1
1
1
1
1
5
25
1
1
1
1
5
2
15
3
1
1
2
1
2
1
7
3
3
1
1
3
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
11
1
3
1
6
1
2
4
3
1
4
1
1
1
1
1
1
1
2
3
1
1
1
13
1
1
2
240
1
1
3
3
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
2
5
2
1
3
1
1
2
1
3
1
3
1
1
3
9
2
1
1
169
1
63
2
1
1
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
22
3
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
6
1
1
5
1
6
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
3
1
1
3
7
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
1
1
1
3
5
1
4
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
2
4
1
2
3
1
1
1
2
1
2
1
1
2
1
3
3
1
1
1
2
1
1
5
3
1
1
1
13
9
3
1
1
1
3
3
1
1
3
1
1
1
3
1
1
2
2
1
1
2
3
1
1
1
1
1
1
119
3
3
3
2
1
2
5
1
3
2
3
2
1
1
3
3
1
1
1
3
2
1
1
1
3
3
3
1
3
1
1
3
1
1
1
5
1
1
9
1
3
1
1
2
7
5
1
1
3
1
3
1
1
3
1
3
3
1
1
2
3
1
1
9
1
1
1
1
1
3
1
2
1
1
3
3
1
1
3
1
1
2
3
3
1
1
3
2
1
1
1
1
1
1
3
6
3
1
3
1
1
3
1
1
1
3
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
104
3
3
1
1
1
2
1
1
2
2
1
1
1
1
1
1
7
1
2
7
1
1
4
1
3
3
7
1
2
1
2
2
1
1
1
1
4
1
2
1
2
1
3
1
3
3
1
2
3
3
8
1
3
3
1
1
3
9
3
1
1
1
1
1
4
1
3
1
1
1
1
57
1
1
1
9
1
3
3
1
1
1
2
1
3
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
3
3
1
1
1
1
1
17
2
1
1
1
1
7
1
1
1
1
2
3
1
3
1
1
1
1
13
1
4
1
1
1
1
3
1
3
3
1
2
2
2
3
2
1
1
2
1
1
2
1
1
1
1
3
1
1
5
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
5
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
9
1
1
2
3
1
1
1
2
5
1
1
12
1
3
1
1
5
1
3
2
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
4
3
1
25
4
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
3
3
2
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
35
1
3
2
1
1
3
1
1
1
1
1
1
1
3
3
3
2
3
1
3
3
1
1
1
3
2
1
1
1
19
1
1
1
5
3
1
7
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
1
1
2
2
1
1
1
1
1
4
3
1
1
1
1
2
3
7
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
14
1
1
1
1
1
1
5
3
1
1
3
1
1
5
4
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
5
3
1
4
1
3
1
1
1
5
1
2
1
1
13
1
1
1
3
4
1
1
1
1
3
1
2
2
1
1
1
3
2
3
1
3
3
3
1
1
1
1
5
1
1
1
3
2
1
1
1
3
5
5
1
1
1
1
3
1
1
1
3
1
2
3
1
3
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
3
1
1
1
17
3
1
1
3
1
2
4
1
1
3
1
1
1
1
3
1
1
1
1
16
3
1
1
1
1
2
1
3
1
5
15
1
1
1
1
1
3
3
3
1
3
1
1
14
1
1
1
1
1
1
25
3
1
2
3
5
3
1
2
3
1
1
1
1
1
3
1
1
1
2
3
1
1
2
1
1
1
1
3
1
3
1
1
1
383
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
2
2
1
4
3
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
9
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
5
1
2
1
1
5
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
3
6
1
1
1
1
1
1
1
1
1
2
1
1
2
1
5
1
1
1
2
5
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
3
2
2
1
4
2
1
3
1
1
1
1
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
3
3
1
1
2
3
1
3
1
1
5
5
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
2
3
3
1
1
1
1
1
39
1
1
1
3
3
1
1
4
1
1
1
1
1
5
1
5
2
3
1
1
3
1
1
1
1
2
2
3
1
3
1
1
1
1
1
1
3
1
1
2
3
3
1
2
3
4
3
8
7
1
1
5
1
1
1
1
1
3
1
3
1
1
1
1
5
1
1
1
1
2
2
6
1
1
1
3
1
1
1
3
2
3
3
1
1
1
4
1
1
1
3
1
1
1
1
2
2
1
1
1
1
2
3
1
2
2
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
2
1
3
1
1
3
1
1
8
1
3
3
1
1
1
1
1
1
1
1
3
3
2
3
1
1
1
1
3
1
1
1
1
1
3
1
1
3
2
1
1
1
3
1
1
1
6
1
1
5
2
1
1
1
6
1
1
1
3
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
21
1
1
3
1
1
1
1
12
1
3
2
1
1
1
3
1
1
1
3
1
1
3
2
1
9
3
5
1
3
1
1
1
1
1
2
1
1
3
1
2
1
1
1
2
1
1
3
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
5
1
5
2
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
4
1
1
1
2
1
1
1
1
1
2
5
1
1
2
3
1
1
3
3
2
1
4
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
3
34
1
1
3
1
3
7
1119
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
11
3
3
9
1
1
1
2
1
1
3
101
3
6
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
2
1
1
55
2
3
1
1
3
3
5
3
1
2
21
5
1
1
1
2
1
1
1
1
1
1
1
1
3
3
3
1
1
3
1
1
1
1
1
1
2
3
22
1
1
2
3
1
1
1
1
13
1
3
1
3
3
3
3
1
1
1
1
1
1
3
4
1
1
2
2
3
1
1
2
5
1
1
4
3
1
3
1
1
1548
2
1
2
1
1
5
1
1
1
3
1
1
163
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
6
2
1
2
1
1
1
1
7
1
1
4
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
2
3
2
1
1
1
3
15
1
3
1
21
10
4
1
1
1
1
1
3
1
3
3
3
5
1
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
3
1
61
1
1
2
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
2
5
2
1
1
1
5
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
3
1
1
3
1
1
1
2
1
1
1
1
2
1
3
5
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
4
3
1
1
1
1
3
1
1
5
1
3
1
2
3
1
1
1
19
3
1
3
3
1
3
1
1
1
1
1
2
1
1
1
3
2
4
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
2
1
5
1
2
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
2
3
3
11
3
2
1
1
1
1
3
1
3
3
1
1
1
2
2
1
1
1
1
1
3
5
1
1
1
3
3
1
1
1
1
1
1
9
3
1
3
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
3
1
2
1
2
1
1
3
1
1
3
1
1
1
1
1
2
1
2
1
1
3
2
3
1
5
1
2
1
1
3
1
1
1
1
1
1
1
2
3
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
7
5
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
2
3
1
2
1
1
1
1
1
1
1
1
1
9
1
1
11
2
1
1
1
1
3
2
1
1
1
1
1
9
1
1
2
1
1
3
1
1
2
3
1
3
1
3
1
1
7
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
3
1
7
9
1
1
9
1
2
1
1
1
1
1
3
1
1
1
1
3
2
1
1
3
1
1
2
5
1
2
2
1
3
1
1
5
1
3
3
1
1
1
3
1
3
2
1
1
2
7
1
3
3
1
1
1
1
1
1
3
1
1
2
2
7
1
4
6
1
3
1
1
1
1
2
3
2
1
3
1
1
5
1
1
1
2
1
1
1
1
221
1
1
1
5
1
1
1
1
1
1
1
2
7
3
2
1
1
1
9
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
11
1
1
4
1
1
1
1
1
1
1
5
1
1
2
7
1
2
1
1
1
17
1
5
1
1
1
1
1
4
1
1
9
1
1
3
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
3
1
3
3
1
3
2
1
1
7
1
1
1
1
1
3
3
3
2
1
1
1
1
1
3
1
1
3
1
1
3
4
1
1
3
10
1
5
1
1
1
3
1
1
1
3
3
1
1
3
1
2
1
1
5
2
1
1
1
3
1
1
1
3
1
1
1
13
2
2
1
1
1
3
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
4
3
3
1
3
1
1
3
1
1
11
1
5
1
1
1
3
3
1
1
2
2
1
1
2
3
1
2
1
1
2
3
1
1
3
1
1
3
1
5
3
2
1
3
1
1
3
2
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
2
3
3
1
1
5
1
3
1
3
1
1
1
1
1
1
1
5
3
3
1
3
3
1
1
2
2
5
5
1
3
4
1
3
3
20
1
2
1
1
3
5
1
1
1
3
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
3
1
2
47
1
1
3
1
1
1
1
1
113
1
1
1
1
1
3
11
2
1
1
2
3
1
1
1
3
2
3
9
1
1
1
1
1
1
2
1
1
75
3
1
7
5
1
1
3
1
1
5
1
1
1
2
2
19
4
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
4
1
1
1
5
1
1
1
1
2
1
2
3
4
1
1
1
2
2
1
3
1
1
1
1
1
5
41
1
1
1
3
3
1
10
1
1
2
1
13
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
13
1
3
1
1
3
4
3
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
3
3
1
1
1
1
1
1
2
3
1
1
5
2
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
3
1
1
3
3
3
3
3
1
3
1
1
1
1
1
1
3
1
2
1
1
2
1
3
1
1
1
1
3
4
1
1
1
2
5
2
3
1
1
1
1
7
1
3
3
1
1
3
3
1
1
3
1
1
1
1
1
1
3
2
1
3
3
1
1
3
7
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
3
1
3
3
1
1
1
1
2
1
1
1
2
2
4
1
1
1
2
1
1
1
3
1
1
1
1
5
1
7
1
1
5
1
1
2
1
5
1
1
1
1
1
1
3
5
1
3
1
1
1
2
1
1
1
1
3
1
6
1
1
2
5
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
5
3
3
1
1
1
1
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
8
1
1
2
2
1
1
1
1
1
1
1
5
1
1
1
3
1
5
1
1
1
1
3
3
1
1
1
3
2
1
3
3
2
2
3
3
1
1
13
1
3
1
1
3
1
1
1
3
1
1
1
3
1
2
1
2
5
1
1
1
1
1
3
2
2
4
1
1
2
1
1
1
5
1
5
7
1
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
3
2
5
1
3
1
1
3
2
1
1
1
3
1
28
2
1
1
1
1
3
2
1
1
1
1
3
1
1
7
3
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
5
3
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
3
2
1
4
2
1
3
1
2
1
3
2
3
1
1
1
1
2
1
2
1
1
1
3
34
1
1
4
1
1
3
1
3
1
1
1
2
3
3
2
7
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
5
1
3
1
3
5
1
1
1
1
1
1
3
2
1
1
3
2
1
5
1
1
22
1
2
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
2
5
1
1
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
3
16
1
1
124
1
1
2
1
57
1
1
1
1
1
1
1
3
5
1
1
3
1
3
1
1
1
1
1
1
1
1
17
9
3
3
1
7
1
2
1
3
1
1
3
1
1
1
3
1
7
1
2
2
1
567
1
1
2
1
3
2
2
1
2
1
1
1
3
1
1
1
1
1
1
5
2
1
1
1
1
1
25
9
1
1
1
3
1
18
1
1
2
1
1
2
3
2
1
1
1
3
1
3
9
1
17
3
1
1
1
1
5
1
5
1
8
1
1
1
1
21
1
1
1
3
3
19
6
1
1
1
1
1
1
1
11
2
1
2
3
3
1
2
1
9
1
1
2
1
3
1
5
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
5
3
3
25
2
3
1
1
4
1
1
1
2
1
1
2
1
1
1
1
1
1
3
29
3
5
2
2
4
9
3
2
1
1
1
1
1
1
1
1
1
3
1
4
1
1
3
8
1
3
1
1
3
1
2
1
5
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
3
1
1
5
1
1
3
4
2
3
2
25
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
9
1
2
1
3
1
1
3
1
1
1
1
4
3
3
2
1
1
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
9
1
2
1
3
1
1
1
1
1
2
2
1
2
1
3
1
2
1
2
3
3
3
1
2
1
1
1
1
1
3
1
1
3
1
1
1
1
8
1
1
1
1
1
1
1
2
4
1
23
1
4
1
3
2
3
1
3
1
1
1
1
1
1
1
1
3
3
3
1
3
1
1
3
7
1
2
1
2
1
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
5
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
5
5
1
3
1
1
1
1
1
1
1
3
3
1
3
1
1
5
1
2
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
3
1
5
1
1
1
2
1
1
3
1
1
2
3
1
3
1
2
2
4
1
1
1
1
1
3
9
3
3
2
1
1
1
1
1
5
1
1
1
1
1
1
7
1
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
1
1
1
16
1
1
4
3
1
1
2
1
1
1
1
2
3
3
1
1
2
2
1
1
4
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
43
1
1
1
1
3
1
1
1
1
3
1
2
1
2
3
3
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
20
1
2
2
1
29
1
1
1
3
1
1
2
3
1
2
1
3
1
2
1
1
1
1
2
2
1
1
1
1
1
5
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
11
1
3
1
1
1
1
1
6
1
1
1
461
1
1
2
1
1
2
1
1
1
1
5
3
1
1
7
1
1
1
1
3
1
3
3
15
1
1
2
1
1
1
1
3
7
5
1
1
1
7
1
1
1
1
1
3
1
1
1
1
9
3
3
11
6
1
3
2
1
1
1
1
3
1
1
1
2
2
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
3
3
2
1
2
1
2
3
1
1
1
1
11
1
1
2
3
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
4
2
1
3
3
1
1
1
1
1
3
2
3
2
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
9
1
1
3
2
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
3
3
1
3
3
2
3
1
1
1
2
1
1
1
1
1
3
1
1
1
148
1
13
1
1
1
2
1
46
3
5
1
1
1
1
1
1
5
1
3
1
1
2
3
1
1
2
3
2
1
3
1
1
3
1
1
3
1
1
1
3
1
2
1
3
2
2
4
1
1
1
1
1
1
1
1
1
1
12
1
3
3
1
3
1
1
7
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
4
3
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
2
3
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
55
11
1
3
1
3
3
3
3
1
1
1
2
3
1
1
1
3
1
1
1
1
2
1
5
3
1
1
1
1
2
10
1
1
3
3
3
3
1
1
1
1
3
1
2
1
2
3
1
1
3
13
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
2
1
3
1
2
1
1
1
2
1
1
3
1
2
2
1
1
1
3
4
1
1
1
1
3
1
1
1
2
4
1
1
1
1
3
1
3
1
2
1
1
1
1
2
2
1
2
1
1
1
3
1
1
1
2
1
3
3
2
1
1
1
2
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
725
1
1
1
3
1
3
1
1
63
1
3
1
1
1
5
1
1
3
1
5
3
1
3
2
1
1
7
1
3
2
1
1
1
3
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
2
1
2
1
1
5
3
3
1
1
56
5
7
1
1
1
1
1
1
1
4
1
1
1
1
6
3
1
1
5
1
1
1
1
2
3
3
1
3
1
7
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
5
3
2
1
5
1
1
2
2
15
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
2
1
3
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
5
1
9
1
3
1
1
1
1
2
1
2
1
2
3
3
1
1
3
3
2
3
3
9
1
3
1
1
2
1
3
1
2
1
1
1
1
3
1
3
3
1
1
2
1
1
1
1
1
1
2
2
13
3
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
2
1
1
1
6
1
1
2
1
1
1
1
1
2
1
1
1
1
9
1
1
4
1
1
1
1
1
1
1
1
1
3
3
3
5
1
1
3
1
1
1
1
1
6
3
1
1
1
1
1
3
1
1
1
1
2
2
2
1
1
1
1
1
1
7
3
2
1
2
3
1
2
2
3
1
1
3
3
3
2
3
1
1
3
1
2
3
1
3
3
1
1
3
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
7
1
1
1
3
2
3
3
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
7
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
3
1
2
1
1
1
3
1
3
4
1
1
5
1
2
1
1
1
1
1
1
5
3
1
1
2
3
1
1
1
3
1
1
3
1
1
1
1
2
2
1
3
4
1
3
1
1
1
1
1
3
3
3
1
3
1
1
2
2
1
5
3
5
2
1
2
3
3
1
1
1
1
103
1
1
1
1
1
1
1
1
1
19
1
1
3
3
2
1
3
3
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
5
3
1
8
1
2
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
9
1
1
1
2
1
2
1
1
1
2
1
2
1
1
1
7
1
3
1
1
3
1
1
3
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
2
1
3
1
1
1
1
2
1
32
1
1
1
3
1
3
1
1
1
1
3
1
2
1
1
1
1
3
3
1
1
1
1
1
2
7
1
12
1
1
1
2
3
1
1
1
1
1
1
1
3
2
3
1
1
3
3
1
3
1
1
1
1
7
1
1
1
1
1
3
7
1
3
1
3
1
1
1
3
3
1
1
1
2
1
1
3
5
1
61
1
1
1
17
1
2
3
1
2
3
1
1
1
1
7
1
2
1
1
1
3
3
1
1
2
1
1
6
2
1
7
1
1
5
1
7
1
1
3
1
1
1
1
1
21
3
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
71
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
5
1
1
2
1
3
1
1
1
3
1199
9
7
1
1
1
1
1
1
1
1
1
1
2
121
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
13
1
1
2
1
3
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
3
15
3
1
1
1
3
1
1
5
3
1
1
3
1
1
1
3
3
3
2
1
1
3
5
3
3
1
17
3
3
2
1
1
1
1
2
3
1
1
1
3
1
1
1
2
1
1
3
1
1
3
1
3
1
1
5
1
1
1
1
2
1
1
1
3
1
3
1
2
1
1
1
1
2
3
3
1
1
1
1
5
3
7
1
3
3
1
1
1
3
2
3
6
1
1
1
1
2
1
1
1
1
3
1
1
3
3
5
1
3
1
2
2
1
3
1
1
1
1
2
1
1
1
9
3
1
1
3
1
3
4
1
1
17
1
1
1
1
1
3
1
1
67
3
1
3
1
1
1
5
3
2
1
2
1
1
3
1
2
1
1
141
6
1
1
1
1
1
17
6
3
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
3
1
3
2
5
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
3
1
1
5
1
1
1
1
1
3
1
3
1
2
1
1
1
1
35
3
1
3
1
2
1
1
1
4
1
1
1
1
25
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
7
5
2
1
1
1
1
15
5
1
1
1
3
1
1
1
1
1
1
3
1
2
3
2
2
5
3
1
1
2
1
1
1
1
1
1
1
1
2
3
3
1
3
9
3
1
1
1
1
1
1
1
3
1
3
1
11
3
2
1
2
1
2
1
15
3
1
1
1
1
1
1
5
1
1
1
3
3
1
1
2
3
1
2
3
1
14
1
1
1
3
1
1
1
3
1
1
3
2
1
1
2
3
3
2
1
4
1
1
1
1
1
3
1
1
1
1
1
3
3
3
1
17
3
6
2
1
1
1
1
1
1
2
2
1
1
1
1
3
1
3
3
3
1
1
1
1
1
1
3
2
1
5
3
1
2
1
1
1
1
3
1
3
15
1
1
6
1
1
5
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
3
1
1
1
1
1
3
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
6
1
13
1
1
1
2
1
1
1
3
3
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
4
1
3
9
1
1
2
1
1
3
3
2
1
13
1
1
1
3
2
1
1
1
1
1
2
1
3
1
2
3
1
1
7
1
2
211
2
1
1
1
1
3
3
1
1
2
1
1
1
1
1
4
3
3
1
2
1
1
3
1
2
1
2
1
1
42
2
1
1
1
1
3
2
1
1
3
1
1
1
7
1
1
1
2
1
5
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
3
1
17
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
21
3
1
3
9
3
3
1
3
2
1
1
2
3
1
1
1
3
1
6
3
3
3
3
1
4
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
3
1
1
1
5
1
1
2
1
1
1
5
1
5
1
1
1
1
1
3
2
1
1
1
1
3
3
5
1
1
4
1
1
1
3
2
2
1
1
5
2
2
1
1
1
1
1
1
1
1
1
1
3
3
3
1
1
1
2
1
5
3
1
1
1
1
1
1
2
1
1
1
1
1
3
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
7
5
1
7
4
5
1
1
1
3
1
2
1
1
1
1
1
1
2
2
1
1
2
2
1
1
3
2
3
1
1
2
1
1
2
1
3
1
1
1
1
2
1
1
1
4
2
2
1
1
3
1
5
3
1
1
1
40
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
4
2
1
9
1
1
3
1
2
5
1
1
2
2
1
1
1
3
1
1
5
1
2
1
1
1
1
1
1
3
1
3
1
6
3
1
1
1
1
3
1
6
1
1
1
1
2
1
1
1
1
1
10
1
1
1
5
1
1
1
1
1
1
2
1
11
1
1
3
1
1
1
1
1
1
1
1
9
1
1
1
33
2
1
3
6
1
1
5
3
1
1
3
1
5
1
1
1
1
3
3
1
1
4
1
3
1
1
2
1
1
3
1
2
1
3
1
1
2
3
1
46
1
1
1
6
8
1
3
1
4
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
557
1
1
1
1
1
3
1
1
3
1
1
3
1
1
2
3
13
1
89
1
2
1
1
3
1
1
3
5
3
1
1
1
1
1
2
3
1
2
1
1
1
2
2
1
3
2
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
3
1
1
3
11
1
1
1
1
3
3
1
2
1
1
1
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
3
1
7
3
1
13
1
1
45
1
1
5
1
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
3
125
1
1
1
1
1
1
1
1
1
3
2
1
1
2
2
2
1
3
1
1
9
1
1
3
1
7
1
2
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
2
1
3
5
1
1
1
4
1
1
1
3
1
2
5
3
1
3
1
3
1
1
1
1
1
1
1
5
1
3
1
3
2
3
3
1
1
1
1
3
1
1
1
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
5
1
7
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
11
1
1
1
3
3
1
1
3
1
1
1
2
3
1
1
1
1
4
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
35
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
7
1
1
22
3
1
1
2
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
2
7
3
3
1
1
7
5
1
1
21
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
5
1
3
2
1
2
1
5
1
1
2
1
1
1
1
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
1
25
1
1
1
3
1
1
1
1
1
1
1
2
11
1
1
486
1
1
1
1
1
3
1
5
1
3
4
1
2
2
1
1
1
1
1
1
1
1
1
1
9
2
3
2
10
1
2
1
12
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
1
21
1
1
2
3
1
1
1
8
2
1
1
1
1
23
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
19
1
2
1
1
1
1
1
1
3
3
3
3
1
3
1
3
24
1
2
1
5
1
1
1
9
1
1
1
1
1
1
3
3
3
1
1160
1
1
1
1
1
5
1
1
1
1
4
1
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
123
1
1
3
7
1
3
1
1
1
1
3
2
3
2
1
3
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
7
1
2
1
3
1
47
1
1
2
3
1
1
1
1
2
3
1
1
1
1
1
3
1
1
1
5
1
2
1
1
1
1
3
1
2
2
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
3
6
1
15
1
1
3
1
6
3
1
8
1
1
1
1
1
5
3
3
1
1
1
1
1
3
3
3
1
1
3
1
3
3
3
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
3
1
1
1
4
2
1
3
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
3
1
2
1
3
1
1
1
2
1
3
1
1
1
3
3
13
5
1
1
1
1
1
1
15
1
1
3
1
1
1
4
3
2
1
1
2
3
1
1
1
5
1
1
1
1
2
1
1
2
2
1
7
2
1
1
1
1
1
1
1
1
5
4
1
1
1
1
1
5
1
1
1
3
1
1
5
1
3
1
1
3
2
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
3
2
1
5
1
3
1
1
1
3
3
3
2
1
3
1
1
3
3
1
1
1
5
1
1
1
1
1
3
2
1
3
1
1
5
1
5
3
1
1
1
6
3
3
2
2
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
4
2
1
1
1
1
1
1
3
1
1
1
1
5
2
2
1
7
1
1
1
2
4
1
1
4
1
3
1
4
1
3
9
1
2
1
1
1
1
1
1
1
1
1
1
32
1
1
2
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
2
1
5
3
1
1
1
1
3
3
1
1
9
3
1
3
3
1
1
3
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
10
1
1
1
7
1
3
3
1
1
33
1
1
1
1
1
1
1
5
1
3
6
2
1
1
3
1
1
1
5
3
1
1
3
2
1
1
1
7
1
1
1
4
1
1
1
1
1
1
4
3
7
2
1
1
3
1
1
1
3
1
5
1
15
1
1
3
1
1
1
1
2
3
34
1
1
1
1
7
4
3
1
1
1
1
1
3
1
5
1
5
1
1
3
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
2
3
1
1
1
1
6
1
1
1
1
3
2
1
1
1
1
1
3
1
3
5
1
2
2
1
1
7
1
1
2
1
1
1
1
5
1
1
3
4
1
2
1
1
1
1
2
1
1
3
1
1
3
1
1
1
1
2
1
10
2
1
3
1
5
1
1
2
1
1
3
1
4
1
1
1
3
1
2
1
3
1
1
1
1
2
1
3
1
1
1
1
1
5
1
2
1
18
3
1
1
3
1
2
1
1
1
3
1
1
3
1
1
19
1
1
1
1
1
2
1
1
1
1
1
1
16
1
1
1
1
1
3
1
1
3
1
1
3
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
3
2
1
7
7
3
1
1
1
3
7
3
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
1
1
1
17
8
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
5
1
5
1
1
3
1
1
4
1
1
1
1
3
1
3
3
5
1
1
2
1
1
2
1
1
1
1
1
4
1
1
1
3
1
5
1
5
1
1
1
1
1
3
1
1
3
2
1
1
1
1
2
1
4
1
1
1
2
2
3
1
2
5
3
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
3
14
1
1
1
1
4
3
7
1
1
1
1
3
1
1
1
1
1
3
3
5
3
1
1
1
1
1
2
1
1
1
1
3
3
3
1
3
3
1
1
3
1
1
1
1
1
4
1
2
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
2
3
2
2
2
2
1
3
2
2
1
1
3
1
3
3
2
1
1
3
1
2
3
1
2
1
2
3
11
1
1
1
2
1
1
3
1
2
1
1
4
1
3
1
7
1
1
1
1
3
1
2
1
3
1
1
1
1
7
1
2
1
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
23
5
1
1
1
1
1
5
1
2
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
3
3
1
1
1
63
3
8
1
1
3
1
3
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
2
1
1
1
2
3
1
3
3
1
1
1
1
3
1
1
5
1
1
1
3
3
2
1
3
1
3
2
1
3
1
1
4
1
1
1
1
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
14
1
3
1
1
2
1
3
1
1
1
3
1
3
1
3
3
1
1
1
1
1
3
3
1
1
1
3
1
1
2
1
2
1
1
1
1
1
1
1
9
3
1
1
1
1
2
1
1
1
3
3
3
1
1
1
1
6
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
11
1
1
1
2
2
1
1
1
1
1
11
1
1
3
1
3
1
7
1
1
1
1
1
1
1
1
10
1
2
1
1
1
1
3
3
1
1
1
5
1
1
2
1
1
2
1
1
1
3
1
2
1
3
1
1
1
1
9
1
3
5
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
3
1
3
1
5
3
1
1
1
1
1
1
3
2
1
1
1
2
3
1
1
1
1
3
2
3
1
3
2
1
1
1
2
1
1
3
2
1
1
2
1
7
3
4
3
1
2
3
1
1
1
1
1
1
1
11
52
1
1
1
1
1
1
19
1
1
15
2
3
1
1
3
3
15
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
9
157
1
1
3
3
1
1
1
2
1
3
3
3
1
1
1
1
1
3
2
1
1
3
1
1
3
1
1
1
49
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
1
1
3
3
86
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
5
1
221
1
2
2
1
1
3
1
1
43
1
2
1
1
2
1
1
2
2
1
1
3
1
19
1
1
3
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
19
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
3
2
1
1
2
2
3
1
1
4
3
1
3
1
1
1
2
1
3
1
2
1
1
1
1
1
1
13
15
2
1
1
1
1
3
1
1
1
1
3
2
1
1
3
1
1
1
1
1
1
1
3
1
7
1
1
1
1
1
1
3
2
1
1
1
1
5
5
1
385
1
5
2
1
3
3
1
1
2
3
2
1
1
7
2
1
3
1
3
2
3
1
1
1
3
1
3
2
1
1
1
1
1
3
2
1
3
1
3
1
2
3
3
1
2
1
1
1
4
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
4
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
5
2
1
1
3
9
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
5
1
3
2
1
1
1
1
3
3
1
1
3
1
1
1
3
1
1
1
3
1
1
7
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
3
3
2
1
9
3
3
1
1
1
1
1
36
1
4
1
3
2
1
2
1
3
1
1
1
1
127
1
2
1
1
3
3
1
1
1
5
1
3
1
3
1
1
1
3
5
1
3
5
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
3
1
1
1
1
1
5
2
1
1
1
1
5
1
1
113
1
1
1
2
1
1
5
1
1
1
1
65
1
1
1
1
2
1
1
3
4
1
2
1
1
5
1
1
1
10
2
1
1
1
3
3
3
3
1
1
2
1
1
1
1
1
3
5
1
1
2
2
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
7
1
1
1
2
2
3
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
3
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
1
2
3
3
1
1
1
1
1
1
1
3
1
1
1
3
2
2
10
3
1
3
3
3
3
1
3
1
1
1
3
2
1
1
1
1
2
5
1
10
21
2
1
2
1
1
2
1
1
3
2
3
1
1
1
1
1
1
1
1
1
5
1
1
1
33
1
1
1
1
1
2
1
6
1
1
1
1
1
1
9
3
1
1
3
3
6
1
3
4
1
3
1
1
1
1
1
1
3
2
2
2
1
1
2
1
1
1
3
1
1
12
3
3
1
1
1
2
1
1
1
1
1
2
1
5
1
1
1
3
1
1
5
3
1
2
1
1
13
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
1
1
3
2
2
1
1
1
3
1
1
1
2
2
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
6
1
2
3
1
3
4
1
1
1
1
1
1
3
1
31
1
1
1
1
9
1
7
3
1
8
1
1
10
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
1
6
14
1
1
1
5
1
1
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
2
2
1
1
2
1
1
5
1
3
3
2
1
1
1
1
3
1
1
3
3
1
1
1
1
1
3
1
2
3
1
1
1
1
2
1
1
1
3
1
3
1
1
1
2
3
3
3
1
3
1
2
1
3
1
1
1
1
5
59
2
1
1
13
1
1
2
1
1
7
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
3
1
1
3
1
3
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
13
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
4
1
1
1
1
1
1
1
1
5
1
1
3
1
5
1
1
1
1
7
1
3
1
1
1
1
5
1
1
1
2
1
1
1
2
1
17
1
1
1
1
1
1
3
1
1
1
1
2
3
2
1
1
1
1
1
1
5
1
1
5
1
2
1
1
3
1
3
3
1
3
1
4
1
1
3
5
1
1
5
1
1
1
1
1
2
5
1
2
3
1
1
1
2
1
1
5
23
1
1
1
1
3
1
1
1
1
1
1
2
1
1
17
4
1
3
1
1
3
2
1
1
1
1
3
1
1
1
2
1
2
3
1
1
1
1
3
9
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
13
4
3
2
1
1
1
1
1
1
1
3
20
1
1
13
15
3
2
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
2
1
1
1
3
1
3
1
1
1
2
1
1
2
1
4
1
7
1
1
9
1
1
3
1
1
27
1
6
1
1
2
3
2
1
1
1
1
1
3
3
1
2
1
1
11
1
2
1
1
1
3
2
1
1
1
1
1
1
7
1
3
3
1
1
1
1
1
2
13
1
1
1
1
3
1
1
1
2
3
13
1
1
1
1
1
1
2
1
1
5
73
1
1
1
1
1
1
1
1
1
12
1
1
246
1
3
1
1
1
1
3
1
1
1
3
3
1
3
1
3
3
1
1
1
13
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
3
1
11
1
1
1
7
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
76
1
1
1
3
11
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
39
3
1
1
2
2
1
1
5
3
3
1
1
1
3
2
1
1
1
3
5
1
1
1
1
2
1
1
3
1
2
1
1
3
3
1
31
9
1
1
1
1
1
1
1
1
1
3
1
1
1
3
2
1
5
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
5
1
224
1
2
1
1
17
1
1
1
3
2
5
1
1
1
7
2
1
5
1
1
1
1
2
1
1
1
2
1
1
3
3
1
2
2
1
1
2
2
3
98
1
1
1
1
1
1
2
1
2
1
5
3
1
2
1
1
3
1
1
1
1
1
2
2
1
1
3
1
3
1
1
1
1
1
1
1
3
1
2
3
2
1
1
1
3
2
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
4
1
3
7
1
1
3
1
1
1
1
3
1
1
3
3
4
1
10
1
1
3
1
3
1
1
1
1
1
1
3
2
1
3
1
1
1
1
3
2
1
1
5
1
1
1
2
3
1
1
1
1
65
3
1
2
6
15
3
1
3
3
1
3
2
1
8
1
1
1
1
1
630
5
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
5
3
1
3
1
3
1
1
1
3
1
3
3
3
3
3
1
16
2
1
2
1
1
1
2
3
3
1
1
1
1
3
3
1
2
7
1
1
1
1
1
1
1
1
1
1
45
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
6
1
3
1
1
4
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
1
5
5
1
1
1
3
3
3
1
13
2
1
1
3
1
1
1
1
8
1
3
1
3
2
3
5
1
3
1
3
11
3
1
1
1
1
3
1
1
1
1
3
2
1
5
1
1
6
1
5
1
3
1
2
3
1
1
2
1
1
1
1
1
2
1
2
1
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
6
2
2
1
1
1
1
1
5
3
1
1
1
3
3
1
2
1
1
4
1
1
1
1
3
3
1
3
1
1
1
89
1
1
1
1
2
1
1
1
1
1
3
1
1
3
7
5
1
3
3
1
3
1
1
3
3
29
1
1
1
1
1
1
1
1
3
1
1
4
1
4
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
3
5
1
2
1
1
1
3
1
3
3
1
1
1
20
1
2
1
1
1
1
1
3
1
3
1
3
1
3
1
3
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
3
3
3
1
2
1
5
1
1
1
1
1
3
1
1
3
12
1
4
1
3
1
1
5
1
2
3
1
4
1
2
2
1
3
1
1
1
1
1
2
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
2
1
2
1
2
1
6
3
1
1
1
1
1
1
3
1
1
1
1
1
1
53
1
3
1
5
1
1
3
1
3
3
4
3
1
1
1
1
1
1
1
2
3
1
2
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
4
1
2
1
1
3
1
1
1
9
1
1
1
3
3
1
2
1
2
1
1
1
1
1
2
1
1
4
3
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
5
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
4
1
1
1
1
1
33
2
2
1
1
1
1
1
1
1
1
5
2
1
1
3
1
3
1
3
1
3
3
1
1
1
1
1
3
3
5
3
1
2
1
1
1
1
1
1
1
1
7
1
1
13
5
2
2
1
1
5
2
3
6
1
1
3
1
1
1
2
1
1
1
3
3
3
1
1
1
1
2
2
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
3
5
1
2
1
1
3
1
1
5
1
1
1
50
1
1
1
7
5
5
3
1
1
1
1
3
1
1
5
1
2
1
3
1
1
2
1
1
2
5
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
2
1
3
1
1
7
1
15
3
3
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
35
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
187
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
4
2
1
1
2
1
1
3
1
3
1
4
1
1
1
1
1
33
1
3
4
1
1
1
1
1
2
3
1
4
1
5
3
1
1
2
1
2
3
1
1
5
1
3
2
2
3
1
1
3
2
1
4
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
2
3
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
3
1
3
1
1
1
3
1
3
1
1
1
1
8
1
21
2
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
101
1
1
1
1
1
1
1
1
3
2
1
3
1
3
3
3
3
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
5
2
3
1
1
1
1
5
2
2
1
1
1
1
2
10
1
1
1
1
1
3
3
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
1
7
1
2
3
1
1
1
1
3
9
1
1
55
1
1
2
1
3
1
1
1
1
2
1
1
3
1
1
5
1
2
1
1
1
5
2
5
1
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
5
1
3
1
3
1
1
2
1
2
1
1
1
1
13
2
1
3
1
1
5
2
1
1
1
1
1
3
1
1
3
1
1
1
3
1
1
5
2
3
1
1
1
5
3
3
1
1
1
1
15
1
7
3
1
1
1
1
3
1
1
1
3
1
1
2
1
5
1
1
1
1
3
2
1
3
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
3
2
1
1
4
1
1
3
4
3
3
7
3
1
1
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
5
1
2
1
3
1
1
3
1
1
4
2
1
1
2
1
1
3
2
1
3
1
1
1
2
1
1
2
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
2
1
3
2
2
1
1
1
2
3
1
1
1
2
1
1
3
3
1
1
3
1
1
1
3
2
1
1
1
3
1
1
1
1
3
1
1
25
1
1
1
1
3
1
1
1
1
1
3
1
2
1
1
7
13
2
1
3
2
3
1
3
1
1
2
1
1
3
1
3
1
1
4
1
1
2
1
1
1
10
1
1
1
3
1
1
4
3
3
1
2
2
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
3
2
3
1
1
1
1
2
1
4
3
1
2
1
1
1
1
1
2
42
1
1
3
1
1
1
1
1
1
8
2
1
1
1
35
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
10
1
3
1
1
2
3
2
1
1
1
23
2
2
1
1
1
3
1
3
1
1
1
1
1
1
52
3
1
3
1
1
1
5
1
2
1
1
1
1
1
3
1
1
9
1
1
1
1
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
1
2
2
1
1
1
1
2
1
1
1
1
2
3
1
1
1
31
1
3
1
3
1
1
1
4
2
3
1
1
1
1
1
1
2
1
3
13
1
3
1
1
1
1
1
3
113
3
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
2
1
1
1
2
1
1
1
1
1
3
1
3
1
1
13
3
1
1
3
1
2
3
3
7
1
3
1
5
1
1
1
3
3
3
2
1
2
1
1
1
1
1
3
1
1
3
1
1
1
3
1
2
1
1
3
1
3
1
1
1
1
1
1
3
3
1
3
1
1
1
1
2
3
3
3
3
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
2
5
1
1
1
1
3
1
5
5
1
3
1
1
5
2
1
1
3
1
1
2
3
1
1
1
2
7
1
5
1
1
1
1
1
1
1
1
1
3
7
3
1
1
3
1
4
1
2
3
1
1
1
1
1
1
65
1
1
1
1
1
1
1
1
3
1
1
3
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
2
3
3
1
1
2
3
1
1
1
1
1
1
1
3
5
1
1
1
3
1
5
1
1
3
1
1
1
1
3
1
1
3
1
1
1
1
1
7
1
1
3
1
1
4
1
3
1
1
1
1
2
9
5
1
1
2
217
4
1
3
1
1
2
1
1
1
2
1
1
3
5
2
1
1
1
9
3
1
1
1
1
12
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
27
3
1
1
1
3
1
1
3
2
1
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
1
6
2
1
1
1
2
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
4
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
6
1
1
1
1
1
2
1
1
1
5
1
3
1
1
4
3
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
5
1
3
4
1
1
1
1
3
1
1
1
3
1
1
1
1
1
2
2
3
1
1
1
1
2
3
1
1
1
3
1
3
1
1
3
4
3
5
3
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
3
1
2
2
1
1
4
1
3
9
1
1
3
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
2
3
1
3
1
1
2
1
3
1
3
1
4
1
1
1
59
9
3
1
1
1
1
1
1
1
35
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
2
1
2
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
9
1
1
3
1
1
1
1
1
3
3
5
9
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
3
1
18
4
2
1
1
1
1
11
1
2
3
3
1
3
2
1
1
3
1
1
2
1
3
1
3
2
1
4
4
2
18
3
1
1
2
1
1
1
5
5
1
1
1
7
3
3
1
1
1
1
1
10
1
5
1
8
2
1
4
1
3
3
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
5
6
1
1
1
9
1
1
1
1
1
4
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
2
1
4
3
3
3
3
1
2
5
1
1
1
1
1
8
2
1
5
3
1
1
1
1
1
1
1
9
1
1
7
1
1
2
1
1
3
1
22
1
1
1
1
5
1
1
1
1
3
5
1
1
1
1
1
2
1
1
21
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
2
1
1
1
1
1
1
1
3
1
2
3
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
5
1
1
1
2
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
3
1
1
1
1
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
11
3
1
5
1
3
1
2
1
3
5
1
3
5
1
3
3
1
1
1
3
1
1
1
1
1
63
1
2
1
3
3
1
1
2
2
1
1
3
2
2
1
1
2
1
1
2
1
1
3
1
2
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
1
1
2
3
1
1
7
5
1
1
1
1
10
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
13
1
1
1
1
3
1
1
2
1
1
3
2
21
2
1
1
65
1
1
1
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
3
1
1
2
9
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
4
3
3
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
5
3
1
1
3
2
1
1
1
1
1
1
2
2
2
1
1
1
3
2
3
1
1
3
1
1
1
7
1
1
1
5
3
1
4
1
1
1
1
1
1
9
2
2
1
1
4
1
1
3
1
1
1
5
1
1
2
1
1
3
3
3
23
2
3
1
2
3
1
1
1
2
1
3
3
1
3
1
1
3
5
1
1
1
1
1
5
1
1
1
2
5
1
1
1
1
1
1
1
1
3
1
2
1
1
2
2
2
3
1
2
1
1
1
1
1
1
1
1
1
1
1
11
1
1
2
2
1
15
1
55
1
1
1
1
1
1
3
2
7
1
1
3
3
3
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
107
1
4
1
1
1
5
5
1
21
2
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
2
1
2
5
2
1
1
1
5
3
1
5
3
1
3
3
15
1
1
1
1
3
1
1
3
1
3
1
1
3
2
5
1
3
2
3
1
1
1
1
3
1
1
3
1
1
2
1
2
1
1
75
1
1
3
1
9
1
1
3
1
2
1
1
5
7
1
1
3
3
1
3
3
3
3
3
1
1
1
1
1
1
4
1
3
1
1
1
1
3
1
2
1
8
1
1
1
1
1
1
1
2
1
1
1
1
11
2
3
1
1
1
5
1
1
1
5
1
1
1
3
1
2
1
1
1
2
1
3
2
1
1
1
3
15
1
1
1
1
1
3
3
1
103
1
1
2
1
1
2
1
2
6
3
1
1
3
1
3
1
3
1
1
2
1
1
1
3
2
3
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
3
1
2
1
3
4
1
1
1
2
1
1
1
5
1
2
1
1
4
2
2
1
4
1
2
1
1
3
1
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
2
2
1
15
1
1
1
9
1
3
1
1
1
2
1
1
1
1
4
3
1
1
1
3
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
1
3
3
2
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
5
2
5
3
6
1
1
3
1
4
3
3
1
1
1
1
3
1
3
1
3
2
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
3
1
1
5
3
1
2
1
1
3
1
2
1
5
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
3
1
1
1
3
3
1
3
2
3
1
3
1
1
3
1
6
2
1
1
1
1
24
1
1
1
3
13
3
3
1
1
1
2
1
1
1
3
3
1
30
1
1
1
4
3
3
31
3
1
2
7
1
2
1
1
1
1
1
1
1
1
17
1
3
1
3
1
1
1
5
1
1
1
1
3
3
20
1
1
5
1
1
1
1
1
3
4
1
1
1
3
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
3
1
1
3
3
1
1
1
3
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
2
5
1
1
1
1
1
3
1
1
17
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
18
2
1
1
1
5
1
1
3
1
1
1
5
1
1
1
1
1
1
1
11
1
1
2
7
1
10
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
6
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
2
5
13
1
5
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
7
5
3
1
1
3
8
1
1
3
3
1
1
1
1
1
1
3
1
1
1
11
1
6
1
1
1
1
1
1
3
1
3
1
1
1
1
14
2
1
1
3
3
1
1
1
3
1
1
1
17
3
1
1
1
1
1
2
1
4
1
1
4
3
1
1
1
1
1
5
1
1
1
1
1
3
4
1
1
3
1
1
1
1
3
2
1
3
1
1
3
7
1
3
2
3
1
3
2
3
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
3
5
1
1
1
1
1
2
1
1
1
1
1
3
1
2
2
1
1
1
1
3
5
3
1
3
1
1
1
2
1
1
3
1
1
2
2
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
5
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
5
2
2
1
3
30
1
1
1
1
3
1
3
1
1
2
2
2
1
5
1
1
1
1
3
1
3
2
5
1
1
1
3
1
1
1
1
3
1
68
5
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
1
3
3
1
11
1
1
5
1
1
1
1
1
1
1
3
17
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
5
1
1
1
1
4
7
1
1
1
1
4
5
1
1
1
1
1
1
1
1
1
1
2
9
1
3
4
1
1
1
3
1
2
1
1
5
1
3
1
1
1
5
3
3
3
3
1
1
3
2
1
5
1
3
2
2
1
3
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
5
1
5
2
1
1
1
1
1
3
1
3
3
169
1
1
3
3
3
1
2
1
1
3
2
5
1
2
1
1
3
3
9
5
1
5
1
1
1
1
1
5
3
1
3
3
7
6
1
1
3
1
3
1
2
23
3
1
1
4
1
1
1
1
3
1
1
1
33
1
1
3
3
1
1
3
1
3
3
4
1
1
1
1
3
1
1
1
19
1
211
9
1
3
1
1
1
1
3
1
7
1
1
1
2
1
1
3
1
1
2
1
1
3
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
5
1
1
1
1
3
1
1
2
1
1
12
1
1
1
3
1
1
1
2
2
1
1
2
1
1
1
1
1
4
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
2
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
1
1
2
5
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
4
2
3
3
1
1
1
1
1
5
3
1
1
5
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
3
13
1
3
3
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
19
2
1
1
5
3
1
56
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
1
1
1
1
7
1
3
1
1
2
3
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
1
2
1
1
3
1
4
5
1
1
2
1
1
1
1
1
1
1
1
3
2
2
3
1
2
1
1
1
1
7
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
5
3
1
5
3
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
3
1
1
1
1
3
1
1
19
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
9
1
1
3
5
1
1
5
3
1
2
1
4
2
5
3
1
1
1
1
2
3
1
3
1
3
1
1
1
3
3
1
115
3
1
1
1
3
1
9
1
1
1
1
1
2
1
1
4
5
1
7
3
1
71
3
1
1
3
2
1
3
1
1
1
3
1
5
1
3
1
3
1
1
3
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
7
3
3
1
1
1
3
1
2
3
3
1
2
2
1
1
3
2
3
1
3
3
1
1
1
2
1
1
1
3
1
1
1
1
1
3
3
4
1
1
3
38
7
1
3
1
1
1
1
1
1
1
1
21
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
8
1
2
1
3
1
1
3
1
2
5
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
3
1
1
1
1
1
1
3
1
1
6
2
1
3
5
5
1
2
2
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
8
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
13
1
2
1
3
1
1
1
5
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
5
3
1
1
1
4
1
1
1
1
27
1
21
1
4
1
5
1
3
7
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
19
1
1
3
1
1
3
3
1
1
1
4
9
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
8
3
2
25
1
8
3
1
1
1
5
1
1
3
2
3
3
9
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
27
3
1
1
1
2
2
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
2
1
1
1
3
5
1
1
1
2
1
1
1
1
2
15
1
1
3
1
1
1
1
2
1
3
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
2
3
1
4
7
3
1
1
1
5
3
3
2
1
1
3
3
1
1
1
1
3
3
5
1
1
1
1
1
5
1
3
1
1
6
1
2
2
3
1
1
5
3
1
1
1
1
8
1
1
3
15
1
1
1
1
1
1
1
10
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
5
4
1
1
1
1
2
1
4
3
1
1
1
7
1
1
4
1
1
1
3
1
3
2
3
1
1
3
3
6
1
1
1
1
1
1
1
1
51
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2
3
2
1
1
3
1
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
3
5
2
3
1
3
1
1
1
1
2
2
2
1
1
1
1
1
1
3
6
1
1
1
3
1
1
1
1
1
3
1
1
5
1
1
8
1
3
2
1
1
1
1
1
3
1
6
1
3
1
1
2
9
1
1
1
1
1
3
1
1
1
2
1
1
1
1
2
3
1
1
1
5
1
1
1
2
1
1
3
1
1
1
3
3
1
1
3
11
37
1
2
3
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
41
1
1
1
3
1
1
3
2
2
1
3
1
1
1
3
3
3
1
1
1
1
1
2
1
1
1
1
1
1
5
3
1
1
1
1
1
3
3
1
2
1
4
1
1
1
1
5
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
4
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
3
1
1
2
13
7
1
2
2
1
168
1
1
3
1
1
1
1
3
1
1
1
1
1
1
13
4
1
3
1
3
3
3
1
2
2
5
1
3
2
1
1
2
7
3
1
3
3
4
1
3
1
1
21
1
3
3
1
3
1
1
1
1
1
3
1
1
1
5
1
6
1
1
1
2
3
2
3
1
8
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
2
1
1
3
1
1
2
1
1
7
1
1
1
1
3
1
1
1
1
3
1
1
4
1
3
3
1
2
1
1
3
2
3
1
3
1
5
1
1
3
1
1
1
3
47
3
3
1
3
1
1
1
3
3
2
1
1
1
28
3
41
2
7
1
3
3
1
1
2
1
3
2
1
3
1
15
1
1
1
3
1
1
1
4
3
1
3
1
1
1
1
1
4
1
5
5
2
1
1
4
1
1
3
1
1
1
1
1
1
1
1
3
1
2
2
5
1
1
1
1
1
1
5
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
1
1
3
1
1
2
1
11
1
1
5
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
197
61
5
1
1
1
1
1
1
1
3
1
1
9
1
2
1
8
1
1
1
3
3
2
1
1
2
1
1
1
1
1
3
1
1
3
7
1
1
3
2
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
1
3
23
4
3
2
1
1
1
1
1
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
5
1
1
1
2
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
59
3
3
1
1
77
2
1
1
1
1
1
1
2
3
1
3
1
1
3
1
2
2
1
6
3
1
1
1
1
1
1
3
1
1
1
1
3
1
3
5
24
1
1
1
3
3
1
1
1
1
2
1
1
1
1
39
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
3
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
3
1
1
8
1
1
13
1
2
1
1
2
1
1
1
2
3
1
1
2
3
1
1
1
2
2
1
1
1
1
3
1
3
3
1
1
1
3
4
1
1
1
3
1
1
1
5
6
3
7
3
3
3
1
1
1
1
1
23
1
4
3
1
1
1
3
1
3
1
1
1
1
1
1
3
1
2
1
1
3
2
1
1
1
1
6
3
3
1
1
19
2
2
1
3
2
2
4
3
3
1
1
1
1
2
1
15
1
1
1
1
1
1
1
1
7
1
1
1
1
56
1
9
1
3
1
1
1
9
1
1
3
3
1
1
1
7
1
1
1
2
1
4
1
2
1
2
1
1
1
1
1
1
1
3
1
3
1
1
3
1
3
1
5
1
1
1
1
1
2
7
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
5
3
9
3
1
1
1
2
1
1
1
1
1
1
2
2
5
3
1
1
3
1
1
1
3
1
1
3
1
3
4
1
2
4
3
1
1
1
1
3
1
1
1
1
8
3
1
3
1
1
1
1
3
1
7
1
1
1
5
1
17
1
3
3
5
1
9
1
2
1
1
1
1
1
1
3
1
1
1
3
1
1
2
1
1
1
4
1
1
27
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
137
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
4
3
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
8
1
5
11
1
1
11
1
1
5
1
1
1
9
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
2
2
5
1
2
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
13
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
1
3
2
1
3
1
1
3
1
1
1
1
3
3
7
5
1
2
7
1
3
2
3
3
1
7
1
1
1
1
1
21
1
3
1
1
1
1
1
1
1
7
1
3
1
3
1
4
1
2
1
1
1
1
1
1
1
8
2
1
1
2
1
7
5
1
11
1
1
1
2
1
1
1
1
1
1
1
1
3
3
3
1
7
2
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
3
1
1
1
3
1
5
9
1
3
1
4
1
1
1
1
1
3
3
1
5
1
3
1
1
2
1
1
4
2
2
1
1
3
1
1
2
1
1
1
1
5
1
2
1
1
3
1
1
1
1
1
3
2
1
1
2
3
1
2
2
1
1
1
1
1
1
3
2
1
3
1
3
2
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
7
1
1
10
1
1
45
1
1
2
20
11
1
1
1
1
1
1
3
1
3
3
3
1
2
1
1
1
1
3
2
1
3
1
1
1
1
3
7
3
1
1
3
4
1
1
3
1
1
1
1
1
1
3
1
3
1
1
5
15
2
1
3
1
1
1
4
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
3
255
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
24
1
1
3
2
1
1
2
1
1
3
3
1
1
2
2
3
1
1
1
5
17
2
1
2
5
1
1
5
1
3
1
16
1
1
1
1
1
2
1
5
1
1
3
1
3
11
1
1
1
1
1
3
1
1
4
1
2
3
23
1
3
2
1
1
1
3
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
39
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
2
1
3
1
1
1
1
2
1
4
1
3
1
2
3
1
2
1
3
1
1
1
1
1
15
3
1
1
5
1
1
4
3
1
1
1
2
1
1
19
3
1
1
3
1
1
1
3
3
1
3
1
1
3
1
3
1
1
1
1
3
1
1
2
2
3
1
2
1
1
3
2
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
26
1
1
3
1
1
1
1
2
1
1
3
2
2
1
1
1
1
1
2
2
1
3
1
1
1
3
7
1
2
1
3
1
1
3
1
3
1
3
1
7
1
3
1
1
1
1
1
1
2
1
1
1
5
21
1
1
2
3
3
13
1
1
1
1
3
1
1
5
1
1
3
5
1
1
1
1
1
1
3
9
2
5
1
1
1
1
1
5
2
1
1
3
1
1
4
1
1
1
4
1
3
1
1
3
2
2
1
1
1
1
1
1
7
1
1
1
1
1
1
2
3
4
2
2
2
1
1
1
1
1
1
1
4
1
1
1
1
1
1
59
16
3
1
1
1
1
1
1
1
1
1
2
1
1
1
6
1
1
1
6
1
1
2
2
2
1
3
1
1
3
1
1
2
3
69
1
1
1
3
1
1
3
1
1
2
19
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
3
3
2
1
1
3
1
2
1
3
1
1
3
1
1
1
3
1
3
1
1
1
3
1
1
3
2
18
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
2
3
3
1
2
1
1
3
3
5
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
2
2
3
1
3
1
1
23
1
1
1
2
1
2
1
1
1
1
1
3
3
1
1
1
1
9
1
3
1
1
1
1
1
3
1
1
1
2
5
1
1
1
5
1
1
1
1
1
4
1
1
1
1
1
3
1
2
1
1
3
2
1
2
1
1
1
2
1
1
2
1
1
2
3
1
2
1
1
3
1
1
1
3
1
7
1
1
17
1
2
1
5
1
3
1
1
1
1
2
1
1
1
1
3
1
3
1
1
2
2
1
1
3
1
1
1
1
1
1
1
3
2
3
1
2
5
1
1
1
2
3
1
20
3
3
2
1
2
2
3
2
1
3
2
1
1
2
1
2
2
1
3
1
1
1
1
1
2
1
1
1
1
4
2
3
1
1
1
1
1
11
1
2
1
1
1
1
6
3
3
2
1
3
1
3
1
1
1
1
2
1
1
1
1
3
3
3
1
1
1
1
1
2
1
3
3
1
3
2
1
1
1
1
1
3
1
3
1
7
9
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
4
4
5
3
6
2
1
1
1
1
3
1
1
1
3
3
1
5
1
1
3
3
1
1
1
1
15
1
1
3
1
1
1
3
5
1
4
1
1
1
1
7
1
1
1
1
1
1
1
2
1
1
1
1
2
1
9
1
43
1
3
1
2
1
1
3
1
2
3
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
75
6
3
15
1
1
1
23
3
4
1
1
2
1
2
1
1
1
1
1
5
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
3
4
1
1
1
2
1
11
1
1
1
1
1
5
1
3
1
3
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
13
2
1
3
1
5
1
1
2
1
1
27
1
2
1
1
3
1
24
3
1
3
1
1
1
2
1
1
4
1
1
1
1
1
11
1
1
1
1
2
3
1
1
1
1
3
1
1
7
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
85
1
1
3
1
3
1
1
1
5
5
1
3
1
1
1
1
3
1
1
1
1
1
1
3
3
2
1
1
1
10
1
1
7
5
1
1
3
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
2
2
1
1
3
1
4
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
3
1
5
3
1
2
1
1
1
1
1
2
1
3
1
5
1
2
1
1
1
3
1
1
1
3
1
1
62
1
1
15
2
1
2
1
1
1
13
1
1
1
1
3
1
1
1
1
1
2
2
2
1
1
11
3
1
4
1
1
5
1
7
1
1
9
1
1
1
3
3
3
1
1
3
1
9
1
1
1
1
1
3
9
1
1
1
1
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
5
9
3
1
2
7
3
1
2
1
1
1
1
1
3
1
1
3
1
3
1
3
1
1
2
1
1
1
1
3
1
1
1
2
1
1
5
4
1
1
1
1
1
1
1
1
1
3
2
1
1
6
1
3
3
1
1
1
3
1
1
1
1
2
3
1
1
3
3
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
2
4
1
2
1
1
2
1
6
3
2
1
1
1
3
1
1
3
3
1
5
3
1
3
1
1
1
1
5
2
1
2
1
1
1
3
2
1
3
5
1
1
1
1
1
3
3
1
1
1
3
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
1
1
1
1
1
3
3
1
1
1
2
3
1
1
1
11
1
5
1
1
1
1
1
3
3
1
1
1
1
1
1
1
3
13
1
6
2
1
1
1
2
11
1
1
6
3
1
3
1
1
2
2
1
1
2
1
7
1
1
1
1
1
1
1
1
3
1
2
1
3
2
1
1
2
1
19
3
1
1
1
2
1
3
1
1
1
1
1
1
1
5
1
3
1
1
1
3
1
3
1
1
1
5
1
3
1
7
1
1
1
1
1
1
1
1
3
3
3
1
2
5
2
2
1
3
1
2
122
12
1
3
2
1
1
1
5
1
1
1
1
1
2
4
3
1
1
3
3
3
1
1
2
1
3
3
1
1
25
1
1
1
1
1
1
3
1
1
1
1
2
3
3
1
1
3
1
1
11
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
2
3
3
2
9
6
1
1
1
1
1
1
1
1
2
2
1
1
3
27
3
2
1
2
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
2
3
3
1
2
1
1
3
1
3
1
1
1
1
1
1
2
1
3
1
1
4
1
1
1
2
3
3
1
1
3
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
5
1
5
3
5
1
1
1
1
1
3
5
1
4
1
1
2
3
1
2
1
2
3
1
4
1
1
3
1
1
1
3
7
1
1
3
1
3
2
1
5
3
1
2
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
1
3
1
3
1
5
1
4
3
1
1
1
1
1
3
3
1
1
1
3
8
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
3
1
2
37
1
1
1
1
1
2
1
7
1
1
4
1
2
7
1
3
2
1
7
3
1
1
3
1
1
1
2
2
1
1
3
1
7
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
2
1
3
1
1
2
1
1
1
25
1
5
1
2
3
1
1
1
1
2
1
3
1
1
3
3
3
1
3
1
3
1
3
4
1
31
1
1
1
1
1
1
3
1
2
1
3
1
1
3
1
4
2
1
1
1
3
1
1
7
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
13
1
3
3
1
1
7
1
1
80
1
1
3
1
2
1
2
3
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
2
1
3
1
1
1
1
3
3
1
1
3
1
1
1
1
1
3
1
1
1
1
9
3
1
1
5
1
1
1
2
1
1
2
1
3
3
2
1
2
1
1
1
1
1
1
3
1
1
1
15
1
1
1
3
1
7
1
3
5
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
2
1
3
1
1
3
3
1
1
1
1
1
3
3
1
27
1
3
1
1
1
2
1
7
3
1
1
1
7
1
1
1
3
2
13
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
5
1
5
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
3
2
1
3
1
3
1
2
1
1
1
5
3
4
1
1
3
5
1
1
1
1
11
3
1
79
3
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
2
3
1
1
1
1
2
1
1
3
1
1
1
3
4
1
1
5
1
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
15
1
2
1
3
4
1
1
1
5
1
3
3
3
10
2
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
5
2
11
3
2
1
1
1
1
1
1
3
1
1
1
1
1
3
2
3
1
2
3
1
1
4
1
5
3
2
1
2
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
5
1
1
1
1
1
2
1
11
1
1
1
3
9
1
3
1
2
3
1
3
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
7
1
2
1
1
1
1
1
1
1
3
1
1
3
3
1
1
3
3
1
3
1
1
1
15
1
5
2
7
1
3
1
3
1
1
2
1
1
3
2
5
1
1
1
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
3
1
1
3
2
1
2
1
2
3
1
1
3
1
3
1
2
2
1
1
1
1
3
1
1
1
1
195
1
3
2
1
3
1
1
1
1
1
1
1
2
17
1
1
1
1
1
3
3
3
3
2
1
2
1
1
1
1
1
1
1
1
1
3
1
3
1
1
3
5
1
1
1
3
3
1
1
1
1
1
2
3
1
2
1
1
1
5
1
4
1
1
1
1
1
1
3
3
1
3
1
2
1
3
1
1
1
1
5
1
1
2
1
1
11
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
3
3
1
1
1
76
1
3
1
1
10
12
2
1
1
1
1
1
1
9
1
14
1
1
1
4
7
15
1
3
1
1
1
1
1
7
7
2
1
1
3
1
1
1
1
9
7
1
1
2
1
1
2
1
2
3
2
5
1
1
1
1
1
1
1
1
3
4
1
1
1
1
3
1
3
2
1
1
3
1
1
2
3
1
1
5
1
2
1
1
1
3
1
1
3
1
2
1
5
3
3
1
1
1
143
1
1
1
3
1
1
2
2
2
1
1
1
1
10
1
1
1
1
5
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
1
1
1
20
1
2
1
1
1
1
1
1
5
3
1
1
1
1
1
2
3
1
1
2
1
1
1
3
1
1
5
4
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
7
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
3
1
25
3
1
3
1
1
6
1
1
3
1
1
1
1
1
1
13
1
3
3
1
1
1
1
1
1
1
7
1
1
3
1
5
2
1
1
5
1
7
2
1
1
1
1
181
1
1
1
1
4
3
5
1
2
2
1
1
1
1
1
1
4
7
2
1
1
1
9
1
1
1
3
1
99
1
4
1
2
1
1
1
3
1
3
3
1
7
1
1
1
1
1
3
2
2
1
2
1
9
1
1
3
4
2
1
4
1
3
1
1
3
1
1
5
1
1
1
4
1
3
1
1
1
1
2
2
1
1
3
1
1
1
1
1
427
3
4
1
1
1
3
19
3
2
1
1
5
1
3
1
1
1
1
1
1
1
2
1
1
3
3
1
4
1
1
1
1
1
1
2
1
1
1
1
7
1
9
2
3
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
11
1
1
1
2
1
1
1
1
3
2
1
1
5
1
3
1
2
1
1
3
1
1
1
1
2
1
2
5
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
1
1
1
1
2
3
1
2
1
5
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
117
11
2
1
9
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
3
3
1
1
3
1
1
11
1
1
1
1
1
1
2
1
3
3
1
1
7
5
1
1
1
1
1
1
1
1
1
2
3
1
3
1
3
5
3
1
1
3
3
1
1
17
1
1
1
1
5
1
3
1
1
1
1
3
3
1
1
5
1
2
1
1
3
1
1
5
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
2
2
1
3
7
1
1
1
1
1
1
1
1
1
3
3
1
2
2
1
11
1
1
1
1
1
1
3
1
1
1
5
1
2
1
1
3
1
1
1
7
2
1
1
1
5
2
1
1
5
1
3
1
4
2
1
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
5
1
1
3
5
1
1
1
1
1
1
1
1
1
7
1
2
1
1
3
1
1
1
1
1
11
1
1
3
1
1
3
1
1
2
11
3
1
1
1
1
1
1
1
1
4
1
2
5
1
1
3
1
3
1
1
3
3
1
1
1
1
1
2
1
3
1
1
1
1
1
3
2
1
3
1
1
21
3
1
2
11
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
3
2
7
3
1
1
1
1
29
1
1
1
1
1
1
3
3
1
3
7
2
1
1
3
1
1
2
2
1
1
1
1
1
5
1
1
2
1
1
1
1
2
1
2
1
223
1
1
1
1
1
3
3
3
50
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
4
3
1
1
3
1
1
2
1
1
1
1
1
8
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
11
1
7
1
1
1
2
1
1
1
2
1
1
2
3
1
1
1
1
1
3
2
2
1
1
1
1
1
2
1
1
3
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
1
5
5
1
1
1
1
2
1
2
1
1
1
1
13
1
1
3
5
1
2
3
1
4
1
3
1
1
1
1
1
1
1
3
3
1
3
1
3
3
1
4
1
1
3
7
3
3
1
3
1
3
3
3
1
13
3
1
1
1
3
3
1
1
1
1
1
3
1
1
1
2
1
1
1
3
4
15
1
1
1
3
1
3
7
1
1
1
2
1
1
3
3
9
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
87
1
7
1
1
1
9
3
1
2
1
1
1
1
1
1
1
3
1
1
1
11
7
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
3
1
1
3
39
1
5
3
1
1
1
3
1
1
3
3
173
4
1
1
4
3
1
1
3
1
2
1
3
1
1
1
1
3
3
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
7
1
1
5
1
1
1
3
60
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
2
3
1
5
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
231
1
1
1
1
1
1
2
1
3
1
1
2
3
1
1
5
3
1
5
1
1
3
3
3
2
1
1
1
1
2
1
11
1
1
1
3
1
1
3
2
2
3
1
1
1
3
1
3
1
1
2
3
75
1
1
1
9
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
4
1
1
2
1
16
1
1
1
3
1
3
2
1
1
3
2
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
115
1
3
19
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
3
1
1
1
3
1
1
2
1
1
1
9
3
1
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
1
5
1
3
1
1
1
1
1
3
1
1
3
3
1
1
3
1
1
3
1
11
1
3
2
1
1
1
1
1
2
9
1
2
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
13
1
7
3
1
3
3
1
1
1
1
2
2
1
5
3
1
2
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
3
1
3
1
1
1
4
1
3
2
9
1
1
2
1
1
2
1
3
1
1
1
1
27
3
1
1
1
3
2
6
1
1
1
1
1
2
1
1
3
1
1
1
1
5
1
1
3
3
1
1
1
2
1
1
1
1
5
1
1
3
1
1
2
1
1
1
19
1
1
1
7
25
1
1
1
4
30
1
1
1
1
1
1
1
3
1
1
1
8
1
1
1
3
1
1
1
5
1
2
1
1
3
3
1
3
1
1
1
1
4
3
1
1
1
2
3
1
1
1
1
1
1
2
5
1
3
2
1
1
3
3
1
1
1
1
1
1
1
1
2
1
3
1
1
1
4
1
1
1
1
3
1
1
1
3
2
5
1
1
1
3
1
1
1
1
1
1
1
1
4
3
1
1
2
1
1
1
1
11
1
1
1
5
3
1
1
3
1
7
1
5
1
2
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
5
3
1
1
1
1
1
1
2
3
1
2
3
1
9
1
7
1
1
43
2
1
1
11
1
1
1
5
3
2
4
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
1
5
2
1
1
2
1
1
1
1
2
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
11
1
1
2
1
1
1
1
3
3
1
3
1
1
9
1
1
1
1
3
1
3
3
8
2
2
7
1
1
1
3
1
1
1
1
1
2
5
1
2
1
9
3
1
3
10
1
1
3
1
1
2
1
1
2
1
3
3
1
1
1
3
1
1
3
1
1
1
2
2
2
1
1
1
1
1
3
11
1
1
1
1
1
11
2
3
2
3
1
3
3
1
1
1
1
1
4
1
2
1
1
3
1
1
3
1
1
1
5
1
3
3
1
1
1
1
1
1
3
1
1
1
2
1
13
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
2
1
1
1
1
1
1
1
1
29
1
1
1
1
3
2
1
1
1
3
1
3
3
1
3
15
1
6
1
1
1
37
1
1
2
1
26
1
1
2
1
1
1
1
7
1
1
1
1
1
1
3
1
2
3
1
1
3
3
1
1
1
1
1
1
2
1
1
1
2
2
1
3
1
1
1
1
1
1
7
3
1
5
2
1
1
3
1
7
1
1
2
7
3
1
2
5
1
3
1
1
2
1
1
1
1
1
1
7
3
6
9
14
1
1
3
1
3
1
3
1
1
3
2
3
1
1
1
1
1
3
6
1
1
3
5
1
1
1
1
3
1
3
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
3
1
1
1
1
1
2
1
9
1
15
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
3
1
1
3
1
3
1
1
1
2
3
1
1
1
1
1
1
3
5
1
1
1
2
1
1
2
3
1
3
3
1
1
1
2
1
1
1
1
1
1
4
1
1
3
1
1
1
3
1
1
1
1
2
1
8
3
1
2
1
1
1
1
5
5
1
2
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
3
1
1
1
1
5
1
2
1
3
1
1
1
1
1
1
1
1
3
1
2
1
5
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
5
5
3
1
1
1
1
1
1
3
1
3
2
1
1
1
1
107
1
1
1
1
1
10
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
4
1
2
2
2
1
1
1
3
1
1
1
1
1
1
1
1
1
13
3
1
3
1
1
1
1
3
1
1
3
22
1
1
1
1
1
3
1
5
1
7
1
3
1
2
1
1
1
1
1
3
1
5
1
2
1
1
1
1
3
3
1
3
1
1
1
1
1
2
3
1
1
1
1
8
2
1
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
5
2
1
1
1
2
3
17
1
1
1
3
2
3
1
1
1
3
2
1
1
1
3
1
5
12
3
1
3
1
1
1
3
3
1
1
3
511
1
2
2
1
1
3
2
3
1
3
1
1
1
2
1
3
1
1
3
3
1
1
1
3
1
1
1
3
1
1
3
3
1
1
1
2
3
7
1
1
1
3
2
1
1
1
4
1
1
1
2
1
2
1
3
1
2
3
1
1
3
1
1
3
1
2
1
1
5
5
1
1
1
1
1
2
3
2
1
3
2
1
1
1
1
1
1
3
1
3
1
1
1
1
5
7
2
2
2
1
2
2
3
5
1
1
1
1
3
5
1
1
7
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
7
3
1
2
2
3
1
1
1
1
3
1
3
1
1
5
1
1
3
3
1
3
1
2
3
3
1
1
1
1
2
1
1
3
2
1
1
1
2
1
11
1
3
1
1
1
1
1
5
1
1
1
3
3
5
1
1
1
1
2
1
1
3
1
1
3
3
1
2
1
3
1
1
1
1
1
1
1
2
1
3
1
1
1
3
1
1
4
4
5
3
1
1
1
2
3
1
3
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
2
3
1
1
1
1
2
3
1
1
1
1
7
1
2
3
1
5
1
1
3
5
1
3
3
3
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
4
1
1
1
2
4
1
1
1
2
1
1
1
3
2
1
19
1
3
1
1
11
1
1
1
5
3
3
1
1
1
3
2
1
1
1
1
1
2
1
5
1
3
1
1
3
1
1
2
1
2
1
1
1
2
1
1
3
3
27
3
1
3
3
1
1
1
4
5
3
3
1
3
1
1
1
1
1
2
1
5
1
5
1
12
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
3
4
1
1
1
3
1
1
4
5
4
1
2
1
1
1
3
1
1
1
3
2
1
1
3
1
1
3
1
1
1
2
2
2
1
1
1
1
1
2
3
1
11
1
1
1
5
1
1
1
1
1
1
1
1
11
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
15
2
1
1
3
2
1
3
1
1
15
7
3
1
3
1
1
1
1
1
3
1
2
1
4
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
4
1
2
1
3
1
1
1
3
1
1
1
1
2
1
1
1
1
3
1
2
2
1
1
1
3
1
1
3
1
1
1
2
1
1
2
1
1
5
1
1
1
1
10
1
1
1
1
1
1
1
1
2
2
1
1
1
1
3
1
1
1
1
1
1
1
2
1
3
1
81
1
1
1
7
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
19
1
1
3
1
1
2
1
1
3
3
1
1
3
1
1
2
1
3
1
1
12
3
3
1
1
1
1
1
4
3
12
4
1
1
1
1
2
2
1
1
3
1
1
3
1
1
1
1
1
1
3
3
1
3
3
1
1
1
3
1
5
1
1
1
3
1
1
3
1
1
2
1
1
1
1
3
1
1
5
2
1
1
1
1
6
3
1
1
5
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
2
6
1
1
1
1
1
3
4
1
1
1
2
1
2
1
3
1
1
1
5
3
1
3
1
1
3
1
1
1
1
5
1
2
9
2
1
6
1
1
27
1
1
4
7
1
5
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
3
1
4
1
5
1
1
3
3
4
1
3
3
1
1
1
2
1
1
1
3
2
3
1
1
1
1
3
1
1
1
3
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
4
1
1
5
3
1
1
1
1
11
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
3
3
3
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
6
3
5
3
9
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
2
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
3
5
1
3
5
2
1
2
1
3
1
1
2
1
5
1
1
1
1
1
8
1
1
4
1
2
1
1
3
40
3
11
1
1
1
1
1
1
1
6
1
1
3
1
3
2
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
6
1
2
1
1
3
2
2
1
2
1
1
2
4
3
1
1
1
5
2
1
3
1
1
5
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
23
1
1
1
1
2
1
9
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
4
1
1
1
1
3
1
1
2
1
2
11
1
2
1
7
1
1
1
2
1
1
1
2
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
11
1
1
1
2
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
9
1
2
7
1
1
1
6
1
3
1
1
1
1
1
1
2
3
3
1
3
1
1
1
3
3
1
3
1
1
1
1
1
1
1
3
1
1
5
2
1
1
1
2
1
1
3
1
12
1
2
1
1
2
1
1
1
7
2
2
2
3
3
1
1
1
1
1
5
2
1
1
2
1
13
1
1
1
1
1
1
1
2
5
3
1
1
1
2
3
1
1
1
15
1
3
1
1
1
3
3
1
1
1
1
3
1
1
1
3
3
28
1
1
25
1
1
1
1
1
1
2
3
5
1
1
24
1
1
3
7
1
1
3
1
1
5
15
2
1
1
1
1
2
3
1
3
1
1
1
3
1
3
4
2
3
3
7
1
1
3
3
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
3
1
1
59
3
1
1
1
1
3
1
3
3
1
1
3
5
1
1
1
2
3
3
3
1
5
3
1
1
2
47
21
3
2
1
1
1
1
2
1
1
1
2
1
1
5
3
2
2
23
1
2
1
1
1
1
1
1
1
2
1
1
7
1
1
5
1
1
3
1
1
1
1
1
3
1
3
2
1
5
2
1
1
1
1
1
2
1
3
1
1
3
1
1
1
3
1
1
3
1
1
1
3
9
3
1
25
1
5
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
6
1
1
2
1
1
1
2
1
1
1
5
1
2
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
5
9
1
1
1
7
1
1
3
1
1
1
3
1
1
1
1
1
3
3
1
2
2
1
1
1
2
3
1
1
1
1
3
1
1
1
1
2
1
3
2
1
1
3
1
1
1
1
3
3
1
1
3
1
2
1
1
3
3
1
9
10
3
35
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
2
1
1
2
1
1
1
1
11
2
1
1
3
1
1
3
1
1
1
1
4
2
3
1
1
1
1
1
3
1
1
1
1
26
1
1
2
1
1
3
1
1
1
1
5
1
2
5
1
1
3
1
1
2
1
1
1
3
1
1
1
2
3
1
1
1
1
1
7
3
1
1
1
2
1
1
1
1
3
1
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
7
3
1
1
1
1
3
1
1
1
10
1
1
1
1
1
2
5
3
1
1
1
1
1
1
1
3
1
1
13
1
1
1
1
3
1
1
1
1
1
3
3
2
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
5
1
1
1
1
1
2
1
1
3
3
1
1
2
1
5
1
7
1
3
3
1
1
1
1
1
1
3
2
1
1
4
3
3
1
3
3
1
3
3
3
5
1
1
1
1
1
1
1
1
1
3
1
3
1
5
3
1
1
1
3
1
3
1
1
3
1
8
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
5
3
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
3
3
2
1
1
6
1
5
21
5
1
2
3
5
3
1
1
1
2
1
1
1
1
1
2
1
1
5
2
1
3
1
1
3
1
1
4
3
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
3
2
1
5
1
3
1
13
1
3
1
2
3
1
1
1
1
1
1
2
1
3
1
1
1
1
3
3
1
1
2
1
1
1
5
1
1
1
3
23
1
1
5
1
1
1
2
3
1
5
1
3
1
2
1
1
2
1
1
1
5
3
1
3
1
1
1
1
2
1
12
1
1
2
1
1
1
1
1
1
3
1863
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
15
1
1
1
4
1
1
1
1
1
2
2
1
1
3
2
1
5
1
1
3
5
1
1
1
5
1
1
15
1
1
1
2
92
3
1
2
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
7
1
1
5
1
3
1
9
2
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
3
6
1
1
1
5
1
1
3
1
1
1
1
5
5
1
1
3
21
3
1
7
2
1
1
1
1
1
1
3
1
1
3
3
7
7
1
5
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
2
1
1
21
1
1
5
15
1
3
1
3
1
1
1
1
1
2
1
1
2
1
1
1
1
1
3
3
3
1
1
2
185
1
3
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
5
1
1
1
1
1
3
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
2
5
1
1
1
3
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
2
33
1
3
3
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
4
1
1
1
3
1
3
6
1
1
1
1
1
1
1
3
2
1
2
5
1
11
1
5
1
3
4
1
1
1
7
1
1
1
1
2
1
1
3
1
1
1
1
1
9
2
4
1
1
7
3
1
3
1
1
3
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
3
63
1
3
1
1
1
1
1
3
3
3
3
2
1
1
3
1
1
3
1
1
1
1
5
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
5
1
5
1
1
1
1
1
1
3
4
2
5
1
1
1
4
1
1
21
2
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
21
1
3
2
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
4
2
2
1
2
1
1
1
2
1
1
3
2
1
1
1
1
2
1
1
3
1
5
1
4
1
1
1
19
1
1
1
1
1
1
1
1
1
1
18
1
1
1
1
1
1
1
3
1
1
1
3
1
1
4
1
1
1
1
1
2
1
1
13
1
1
1
3
1
1
2
1
1
2
1
1
1
3
3
1
1
1
1
2
1
3
3
11
3
2
1
1
1
1
2
1
2
5
1
1
1
1
1
2
1
2
1
1
1
3
1
1
3
3
1
3
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
3
1
11
1
1
1
1
1
2
3
1
2
3
2
1
1
2
3
3
3
7
1
1
1
1
1
1
1
13
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
7
4
1
1
2
1
3
1
1
6
1
1
1
1
2
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
2
2
1
3
1
5
1
1
1
1
1
1
1
7
1
1
1
1
3
4
1
1
1
2
1
3
5
13
1
5
11
3
1
1
3
2
1
3
2
1
1
2
2
1
1
3
3
1
3
1
3
1
1
1
3
3
3
1
1
1
1
2
1
3
45
1
1
2
1
1
1
1
1
1
1
1
1
3
29
1
1
1
1
2
1
1
1
1
1
1
3
4
1
1
1
1
1
1
5
3
1
1
1
1
1
1
2
2
1
3
3
1
5
1
1
1
3
4
1
1
1
1
1
3
3
4
1
13
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
3
3
3
2
1
1
1
1
1
1
2
3
1
1
1
1
3
1
3
1
3
1
2
2
3
1
1
2
1
2
3
1
1
2
2
1
1
3
5
1
1
1
1
2
1
1
1
3
1
3
1
1
1
1
1
2
1
2
1
1
2
12
2
1
12
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
2
2
2
8
1
1
3
1
3
1
20
1
1
1
2
1
1
3
1
1
1
1
4
7
1
1
1
1
1
1
1
1
1
1
11
1
2
3
1
6
3
3
1
7
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
2
3
5
1
1
1
3
1
3
1
1
2
1
3
1
2
1
1
2
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
2
1
2
14
11
1
1
1
5
1
1
1
2
1
1
1
2
1
1
1
7
5
5
1
1
1
1
1
1
1
1
1
3
13
1
1
1
3
5
1
1
3
1
15
1
6
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
3
3
1
3
2
1
45
3
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
3
1
3
1
1
9
3
416
20
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
3
1
1
2
1
5
1
1
1
1
1
5
1
1
1
1
2
1
1
7
1
1
1
1
1
1
1
3
5
3
1
1
1
7
3
1
1
1
1
1
9
3
1
1
1
1
5
1
1
1
3
4
5
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
2
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
1
9
1
2
1
2
1
2
3
1
1
1
9
1
1
8
1
1
1
1
1
3
2
1
1
2
1
3
1
3
1
1
3
3
1
2
1
1
1
1
1
3
3
1
35
3
1
1
1
3
3
9
1
1
1
3
1
1
1
1
1
1
1
3
1
8
35
3
3
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
2
1
2
6
1
3
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
3
1
1
1
1
2
1
3
1
1
1
3
2
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
4
1
5
1
1
1
1
1
3
3
1
1
5
3
3
1
3
1
1
3
1
3
1
2
3
1
3
1
3
3
1
5
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
3
5
3
1
7
1
1
259
1
15
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
3
1
3
1
1
1
1
1
1
11
1
1
3
1
13
1
2
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
2
3
1
2
2
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
1
1
1
1
1
1
1
1
1
67
1
1
2
3
1
1
1
1
1
3
5
5
3
3
1
1
1
2
1
1
3
1
5
3
1
2
3
1
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
3
53
1
1
1
1
2
2
4
1
2
1
1
1
2
1
5
2
9
6
1
3
2
3
1
2
1
3
1
1
1
1
1
1
5
1
1
3
1
1
3
1
3
3
4
1
1
1
1
3
3
1
1
3
1
6
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
3
1
1
1
2
1
2
1
1
1
3
1
3
1
1
1
1
1
1
9
1
3
1
3
1
5
1
1
1
1
1
1
3
5
1
1
2
2
1
1
1
1
1
1
1
1
1
4
1
13
3
3
7
1
3
5
6
3
3
9
1
2
1
1
1
1
5
1
1
3
1
3
1
1
3
1
2
1
1
1
1
3
6
15
1
1
1
1
1
1
1
13
1
1
2
1
1
2
3
1
1
5
1
1
1
3
1
1
1
3
1
1
1
8
3
1
1
1
1
1
1
4
5
4
5
1
1
1
3
1
1
1
3
1
11
3
1
1
1
1
2
3
1
3
3
7
3
2
5
7
1
1
1
1
3
3
4
3
1
3
2
3
1
2
1
1
1
1
3
1
2
2
1
1
1
3
2
2
1
1
1
1
1
5
1
3
3
3
1
1
2
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
4
1
1
1
3
1
3
1
1
1
3
1
1
1
7
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
89
1
1
5
1
1
1
3
2
1
1
1
3
1
2
1
1
2
3
2
1
1
9
1
1
3
1
4
1
1
6
1
3
2
1
1
1
3
2
5
1
8
2
1
1
1
1
2
1
1
1
2
3
1
3
3
1
3
1
2
1
1
3
1
3
1
1
1
1
1
1
1
1
11
1
1
1
1
1
2
1
191
1
1
3
1
1
1
1
1
2
1
1
3
1
1
3
3
1
1
3
1
1
1
1
1
4
3
1
1
8
1
3
6
2
1
1
1
1
1
2
1
1
1
1
3
1
2
3
2
3
1
3
1
2
1
3
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
3
2
5
1
3
3
1
3
1
1
1
1
2
3
13
43
4
3
1
3
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
1
2
4
1
1
1
1
1
1
3
1
1
3
1
1
2
1
3
2
3
1
3
1
1
1
1
4
1
1
1
1
2
3
3
3
1
1
1
3
1
3
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
8
2
209
1
1
7
3
1
3
1
1
21
1
1
3
1
3
1
1
3
1
3
1
6
1
1
1
1
1
3
15
1
1
1
1
5
1
3
3
1
1
2
1
1
1
1
1
5
2
1
1
1
3
7
1
1
2
1
1
1
3
1
2
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
75
1
1
1
1
2
3
3
1
4
2
1
14
1
1
3
3
5
1
1
3
1
3
2
1
1
1
1
1
4
3
1
3
9
11
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
11
3
3
4
1
1
3
1
1
1
1
7
1
5
4
1
3
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
3
3
2
1
1
2
3
1
1
1
3
1
1
3
1
1
1
5
3
1
2
1
2
1
1
1
1
1
1
3
2
2
1
1
1
2
1
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
3
3
1
3
3
1
3
8
1
13
1
1
1
1
5
2
4
1
1
1
1
1
3
1
1
2
1
7
1
1
1
1
1
1
3
13
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
6
3
17
7
1
1
1
1
3
1
3
1
1
1
4
1
1
1
1
11
21
1
3
1
3
1
1
1
3
1
1
5
9
1
1
3
1
1
2
97
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
5
1
1
1
4
1
1
1
1
1
1
1
2
3
3
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
3
1
12
1
3
1
1
1
3
3
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
11
1
1
1
1
1
1
5
3
1
1
2
1
1
1
3
3
1
2
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
1
3
5
1
1
1
1
1
1
1
1
1
3
3
4
5
1
1
1
1
1
1
5
1
3
1
1
3
1
1
1
2
1
3
4
1
2
1
1
1
1
3
3
1
1
3
1
1
1
11
1
3
1
3
2
1
1
3
1
1
1
4
3
1
31
2
1
3
2
1
1
1
1
2
1
1
5
1
1
1
1
1
1
2
1
7
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
2
3
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
4
3
7
1
1
3
1
3
2
1
2
3
1
3
3
1
1
1
1
1
1
3
1
11
1
2
1
1
1
3
1
1
1
1
12
1
1
23
11
2
2
1
3
5
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
2
3
1
1
1
3
5
1
1
1
1
1
3
15
1
2
1
3
3
1
1
3
17
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
15
1
3
1
1
1
3
1
1
1
1
3
45
4
2
1
1
2
1
1
1
1
1
6
2
3
1
3
1
2
4
1
37
1
1
1
1
5
1
1
1
1
3
1
1
2
1
1
2
1
17
31
1
3
2
1
1
1
1
1
1
1
3
3
1
1
3
7
1
1
3
1
1
1
1
1
1
1
3
1
1
2
5
3
1
3
1
1
1
47
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
9
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
2
1
1
1
2
1
1
1
1
5
1
1
3
3
1
1
1
1
1
2
1
3
3
5
6
3
1
1
3
1
5
1
1
1
1
1
3
6
3
1
2
3
1
2
2
5
1
1
2
1
1
1
1
1
1
1
2
4
1
3
3
1
1
1
7
1
3
1
1
1
5
1
1
3
1
1
2
1
1
1
1
1
3
1
1
2
1
1
3
2
1
1
1
3
3
1
1
1
7
1
1
1
1
3
1
1
1
4
3
3
3
1
1
1
1
1
1
7
1
2
1
1
3
1
1
1
1
1
2
6
3
4
4
1
3
3
1
1
1
1
2
2
3
11
1
1
3
1
1
6
1
1
3
1
1
1
3
1
3
1
1
3
1
2
1
1
1
1
1
15
1
2
1
1
3
1
3
1
7
1
11
1
2
3
1
5
5
1
1
2
2
1
3
2
1
1
1
2
1
1
1
11
3
1
1
1
2
3
3
1
1
1
1
1
2
2
1
2
2
1
1
1
2
1
3
1
1
1
5
1
2
3
1
5
2
1
1
3
2
4
1
2
3
1
3
1
1
1
4
1
1
4
1
3
1
1
1
1
14
1
2
3
1
3
2
3
1
1
3
1
1
1
1
1
2
1
1
2
1
1
2
1
2
3
1
3
1
3
2
1
1
1
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
33
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
3
7
3
1
3
1
1
1
1
1
1
1
1
3
3
1
3
2
1
3
1
1
2
1
1
3
2
1
2
1
1
2
3
2
3
1
1
1
1
1
1
1
3
3
1
5
3
1
1
1
1
1
2
3
1
2
1
5
1
1
1
2
1
2
1
3
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
3
3
3
1
3
1
3
1
1
3
4
1
1
3
12
1
3
3
1
1
4
1
1
1
1
1
3
3
1
1
3
1
1
2
1
3
1
1
1
1
1
3
3
1
3
2
1
2
2
1
1
1
1
1
2
1
3
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
2
2
1
2
3
1
1
2
31
3
3
3
2
3
1
2
9
2
2
2
2
1
2
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
9
1
1
3
1
1
1
1
1
1
5
1
1
1
1
3
1
1
5
6
1
1
1
2
1
2
1
3
1
1
1
4
1
5
1
1
1
1
1
1
5
1
1
3
2
1
1
7
1
1
3
3
3
1
3
1
1
1
3
1
1
1
3
1
1
2
1
1
3
1
1
1
1
1
5
1
2
1
3
1
1
1
2
5
1
1
3
9
1
1
1
3
1
1
1
2
15
2
1
1
2
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
2
3
1
1
2
1
1
1
1
126
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
4
3
2
1
1
1
2
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
3
1
1
3
1
3
2
1
1
1
3
1
6
1
1
1
1
1
2
1
2
1
1
3
1
1
2
3
1
1
3
1
2
3
1
1
1
62
1
3
1
1
3
1
1
1
2
2
1
1
3
2
1
2
1
5
3
1
1
1
7
1
2
1
3
4
1
1
1
1
2
2
1
2
1
1
1
1
1
1
3
3
3
1
17
1
1
2
1
3
1
1
1
3
2
8
3
1
1
15
1
1
5
1
1
1
11
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
5
2
6
1
1
1
3
3
2
1
3
1
1
3
2
3
3
1
1
1
2
3
1
1
2
1
3
1
1
1
5
1
1
3
13
13
2
1
1
2
11
1
1
1
3
1
1
1
1
1
3
5
12
1
2
1
1
1
3
1
3
3
1
2
1
1
1
1
5
1
1
2
3
2
3
2
1
1
5
1
3
1
5
5
2
1
1
1
1
1
1
3
3
1
55
3
1
2
1
3
4
1
1
1
4
5
1
1
1
6
2
5
1
3
3
3
1
1
3
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
1
2
3
1
2
1
1
1
1
1
1
3
1
1
1
1
5
1
1
3
3
1
1
1
1
3
1
1
1
2
3
1
1
1
3
3
1
1
1
1
1
7
1
1
3
1
1
5
1
1
1
3
1
3
1
1
1
3
5
1
3
1
1
1
1
3
1
1
7
2
2
1
1
9
2
1
3
1
1
1
1
1
1
7
1
1
1
52
1
1
1
1
1
4
1
1
3
1
1
1
3
1
1
13
5
5
3
2
1
1
1
1
8
1
1
1
2
3
1
1
3
5
1
169
3
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
5
3
5
2
3
1
1
1
1
1
1
9
1
1
1
1
2
2
1
1
1
2
1
9
1
4
1
1
3
1
1
1
2
1
3
1
3
1
3
1
3
1
2
4
1
1
3
1
1
1
1
1
3
3
1
3
1
1
1
3
1
3
3
3
2
1
1
1
1
1
3
1
1
27
2
3
3
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
2
3
3
2
1
1
1
1
3
1
1
1
3
1
1
11
1
1
3
1
1
10
2
1
63
1
1
1
3
2
4
15
3
1
2
1
1
1
1
1
16
3
1
2
2
2
5
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
3
1
7
1
1
1
3
1
1
2
9
3
1
3
1
1
1
3
1
1
1
1
4
1
1
1
3
1
1
2
2
5
3
1
1
1
2
1
3
1
1
1
5
5
2
1
1
1
1
19
1
1
1
3
3
2
1
5
3
1
1
3
1
3
3
3
1
13
1
1
1
3
1
3
1
1
2
1
6
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
5
7
5
3
1
1
1
3
3
1
1
1
5
5
1
1
1
2
1
1
1
3
1
1
1
1
1
1
3
3
1
2
1
6
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
269
1
1
1
1
5
3
2
12
5
1
1
3
3
1
1
1
1
1
2
3
3
1
3
1
2
3
1
31
7
1
1
1
1
3
2
1
1
2
1
1
1
3
1
9
1
1
1
2
1
1
1
1
2
1
2
1
3
5
1
1
3
3
1
1
1
3
3
17
5
1
2
1
1
1
1
3
1
1
1
5
2
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
3
1
1
1
1
1
2
1
1
4
1
1
1
3
1
1
3
3
3
2
1
5
1
1
1
3
1
5
2
3
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
7
1
3
1
1
1
3
1
1
2
1
1
1
1
1
1
2
1
1
5
1
3
4
1
1
1
1
1
1
3
2
1
3
3
27
1
1
3
2
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
3
1
3
3
1
2
1
1
1
1
3
1
1
1
6
3
1
33
1
1
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
7
1
1
23
2
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
3
7
1
1
3
3
1
1
1
3
2
1
1
2
1
1
1
7
3
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
29
1
17
1
2
1
2
2
1
2
1
1
1
1
1
1
1
1
1
3
1
4
1
3
1
1
1
1
1
2
1
1
1
2
2
3
3
5
3
1
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
7
1
1
1
5
3
1
3
2
1
1
1
43
1
3
1
1
3
2
1
3
1
2
3
1
1
71
3
1
1
1
1
1
1
1
3
1
1
9
4
1
1
4
3
3
1
1
1
3
1
3
2
1
2
1
1
1
1
1
1
1
3
1
13
1
1
1
2
1
1
19
3
2
1
1
1
1
1
1
2
1
1
3
1
1
1
5
1
1
3
1
1
1
1
2
7
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
2
1
1
3
3
1
1
1
1
1
1
1
1
1
31
3
1
3
1
1
3
1
1
3
1
1
3
1
1
1
3
1
14
3
3
5
3
2
1
3
1
1
1
1
1
1
1
2
1
3
5
1
1
1
1
3
2
3
1
63
1
1
2
3
3
1
1
1
3
1
1
1
1
3
5
3
2
1
1
1
1
1
1
1
11
1
3
1
1
2
1
2
1
1
1
1
3
1
1
1
1
3
1
5
3
1
2
1
1
2
1
2
1
1
1
1
3
3
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
1
39
1
3
5
1
1
1
2
1
1
1
1
9
1
1
1
3
1
1
7
2
1
3
1
20
1
2
5
3
6
1
3
5
4
1
1
1
1
3
1
1
11
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
11
3
1
2
1
3
1
2
5
1
3
3
1
1
9
1
1
3
9
3
1
1
1
1
1
1
1
1
1
1
1
1
9
3
1
1
1
1
1
1
3
1
2
1
1
1
1
2
2
1
1
2
1
1
3
1
1
1
3
3
8
2
5
1
1
3
3
3
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
3
2
1
1
1
3
1
1
3
1
1
2
1
1
3
1
1
1
1
1
19
1
2
1
1
1
1
2
1
2
1
1
1
4
1
1
1
3
3
3
2
1
1
3
1
1
1
2
1
1
1
1
1
2
1
3
1
3
1
3
1
3
2
1
1
1
5
1
2
1
1
3
1
1
1
1
1
2
5
1
38
2
3
3
1
1
1
1
2
7
1
1
1
2
1
2
1
1
1
1
3
5
5
3
1
1
1
1
3
1
3
1
1
3
1
1
3
1
1
1
1
1
2
2
4
1
3
3
1
3
3
2
3
1
3
1
7
1
5
1
1
1
3
1
3
1
2
1
1
1
3
1
1
3
1
1
1
1
7
1
3
1
1
1
1
2
3
1
1
1
3
1
3
2
1
1
3
1
3
1
4
1
1
1
1
1
1
1
1
2
3
3
1
1
4
1
1
1
1
39
3
1
1
1
1
1
3
1
1
1
3
1
1
1
2
2
1
2
2
1
2
1
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
3
3
1
3
1
3
2
1
1
3
1
3
3
3
1
1
3
1
3
1
3
1
1
1
2
1
1
5
2
1
1
1
1
3
1
3
1
2
1
1
1
4
3
1
3
3
1
1
1
1
1
2
1
1
3
1
1
68
5
1
1
1
15
2
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
3
1
1
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
3
1
1
1
3
1
2
1
1
2
2
11
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
3
1
1
3
1
1
3
1
1
5
2
1
5
1
1
1
3
3
1
1
3
1
1
1
4
2
2
1
1
1
1
1
1
3
1
3
1
1
1
3
1
1
2
2
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
3
1
3
3
1
7
1
2
1
1
1
1
1
1
1
1
3
1
1
1
3
3
1
1
1
15
3
1
5
1
1
1
1
1
1
3
1
5
3
5
1
1
1
1
1
1
1
1
1
2
1
5
10
1
1
3
1
1
4
1
1
3
1
3
9
5
1
3
4
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
5
2
1
1
1
1
1
3
1
2
2
2
1
3
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
7
3
1
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
7
3
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
2
3
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
11
1
1
1
1
9
1
1
1
1
1
4
1
1
1
2
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
1
7
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
3787
1
1
1
1
1
61
1
1
1
1
1
1
3
1
1
1
1
7
2
2
24
1
1
1
3
1
23
3
3
1
1
1
1
10
1
2
1
3
1
33
1
1
1
1
2
1
2
3
1
2
1
1
1
3
1
1
1
33
1
3
1
3
3
1
1
6
1
1
2
2
1
1
1
2
1
1
1
1
1
2
1
1
7
1
3
1
3
1
11
1
1
1
1
3
1
1
2
1
1
3
6
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
5
2
1
1
2
4
3
1
3
3
1
3
56
2
1
2
1
2
1
1
1
1
1
1
1
3
3
13
3
1
2
4
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
3
5
1
2
1
1
1
1
7
1
1
1
1
1
29
1
2
1
3
1
1
3
2
3
1
2
1
1
1
5
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
7
1
59
1
3
3
2
1
1
1
3
1
1
1
1
1
1
3
1
3
1
4
3
1
1
3
1
1
1
1
1
2
5
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
31
3
5
1
1
1
3
3
1
3
3
3
2
1
1
5
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
11
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
2
5
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
2
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
37
3
1
3
1
1
1
2
1
1
1
1
1
208
1
3
1
1
1
27
1
4
1
3
1
3
1
1
1
2
1
1
2
1
1
3
3
1
1
3
3
1
1
1
2
1
2
1
1
1
1
1
1
7
1
1
2
4
1
1
3
1
1
1
1
1
1
1
1
1
4
3
5
3
1
1
1
1
1
2
3
1
1
2
1
3
2
3
1
1
1
2
1
1
2
3
1
1
1
5
1
1
3
1
1
27
2
1
1
1
1
7
5
1
1
3
1
3
1
1
1
215
1
1
1
1
1
3
1
2
1
1
3
3
1
3
3
1
1
5
1
1
1
3
5
3
2
3
1
1
1
3
2
1
2
3
1
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
3
3
1
1
4
2
1
1
2
2
1
2
1
1
1
1
1
3
1
4
9
1
1
1
3
1
2
1
3
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
2
3
3
3
1
3
5
1
1
2
1
1
1
1
2
1
2
1
1
1
16
3
3
2
1
1
1
1
1
1
1
5
1
4
1
7
2
1
1
1
1
1
3
1
3
1
1
3
1
1
1
31
3
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
3
3
3
1
1
1
1
1
2
1
1
1
1
5
1
1
1
6
1
2
1
1
1
1
1
1
2
1
1
2
1
4
1
1
3
1
3
3
1
3
1
1
3
2
7
1
1
1
1
3
2
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
11
1
2
1
1
1
1
9
1
1
3
3
3
1
1
1
1
3
1
4
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
2
1
1
1
1
66
1
3
1
1
2
1
1
2
2
1
3
3
1
1
1
2
1
1
3
1
2
1
11
1
1
27
2
5
1
1
1
5
1
1
3
1
1
1
5
1
1
5
1
1
1
1
2
3
1
4
1
1
1
1
4
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
20
3
1
1
1
1
1
1
1
3
3
1
1
3
15
1
1
1
3
9
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
9
1
1
1
3
1
1
1
2
1
1
2
1
3
3
1
1
2
1
1
3
1
1
1
1
1
1
1
1
5
3
2
1
5
11
1
1
3
1
1
1
2
1
3
1
1
9
1
1
3
1
2
3
7
1
3
1
3
1
1
1
1
11
1
2
2
5
4
1
1
1
1
2
1
2
4
1
1
1
7
1
1
1
2
1
1
71
1
5
1
1
3
1
10
1
1
1
1
3
1
1
19
1
1
1
8
1
1
4
1
1
1
3
1
1
1
1
3
1
1
1
3
1
9
3
1
1
1
1
9
2
1
1
1
1
3
1
1
1
1
3
3
1
1
3
8
1
6
1
1
2
1
1
1
2
5
1
3
1
3
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
3
1
3
1
3
1
3
3
1
3
1
1
1
1
1
1
1
1
5
1
1
2
1
3
1
3
2
1
1
4
1
3
1
1
1
1
1
1
1
5
1
1
1
1
5
2
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
5
1
9
5
1
1
1
1
1
1
1
1
1
1
3
1
3
3
1
3
1
1
3
1
3
7
1
1
1
1
1
3
1
2
3
1
2
1
1
1
1
3
3
60
2
3
1
1
1
1
1
1
3
15
1
1
3
3
1
1
1
1
3
1
1
2
1
2
13
1
1
15
1
3
1
1
2
3
3
1
14
2
1
1
1
1
1
3
3
1
3
1
1
1
3
1
1
7
1
1
1
3
1
3
1
3
1
1
1
1
1
2
3
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
7
2
3
1
1
1
7
1
1
1
1
3
2
1
3
1
1
197
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
13
3
1
1
1
5
1
5
1
1
4
3
1
1
7
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
9
1
1
2
1
1
45
1
1
3
11
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
2
3
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
5
4
1
2
1
1
1
3
1
1
3
1
1
5
1
1
83
28
3
2
6
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
2
1
1
3
1
1
3
1
2
2
2
3
1
5
1
1
1
7
3
3
1
1
5
6
1
1
7
3
1
7
4
3
3
3
1
1
1
2
5
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
3
1
1
15
1
23
1
1
1
1
7
3
1
3
1
2
1
11
1
5
1
14
1
2
3
1
1
1
1
3
1
14
1
1
5
1
1
3
1
2
1
5
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
2
13
1
1
1
1
3
1
1
3
1
1
1
1
1
1
2
2
1
3
3
1
1
1
3
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
3
7
1
1
1
1
3
1
13
1
2
9
2
1
1
1
1
1
1
1
2
1
1
5
1
5
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
2
1
3
1
1
2
1
3
1
3
2
1
7
1
1
27
1
3
1
1
2
1
263
1
2
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
3
1
2
3
5
1
3
1
1
1
1
1
1
1
23
5
3
5
1
2
3
1
1
3
1
2
3
4
3
1
3
1
1
1
1
1
1
1
3
1
1
1
11
1
1
3
3
1
1
1
1
1
3
1
1
1
3
2
1
5
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
23
1
1
1
2
3
2
2
3
3
3
2
4
1
1
3
1
1
2
1
1
1
2
1
1
3
1
2
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
11
1
3
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
3
3
1
2
1
1
13
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
3
1
1
1
4
1
3
3
2
1
1
1
1
1
1
1
3
1
1
3
16
1
1
1
3
1
1
3
1
1
1
3
1
2
1
3
9
1
11
7
1
5
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
3
3
3
1
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
7
2
1
1
1
3
2
1
1
1
3
5
1
5
1
9
5
1
1
1
4
1
1
1
1
5
1
3
43
1
1
1
2
3
1
1
1
2
11
2
1
4
1
22
3
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
5
2
1
1
1
1
1
13
1
1
3
2
5
3
1
1
1
3
3
2
3
3
1
3
1
1
1
3
1
3
1
1
1
3
1
91
1
1
3
1
1
1
1
1
1
1
2
3
9
1
2
1
1
1
1
1
3
2
1
3
1
3
1
1
5
84
2
1
1
1
1
1
1
1
1
29
2
1
7
1
2
3
1
3
1
1
1
3
2
1
1
1
1
3
1
5
2
3
1
1
6
1
3
1
1
1
1
1
1
1
2
1
1
1
2
1
8
1
1
1
5
1
1
5
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
1
5
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
3
1
1
1
4
1
2
1
1
1
1
2
1
37
1
1
1
3
7
1
2
1
1
10
9
1
3
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
2
3
2
3
3
3
1
1
1
1
1
1
1
3
1
3
1
3
3
1
2
1
1
3
1
3
1
1
1
3
3
1
1
1
1
3
1
1
1
3
9
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
3
1
4
3
1
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
3
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
3
8
1
3
3
1
1
1
1
3
1
1
1
2
3
1
1
4
3
7
12
1
1
1
1
1
1
3
1
3
1
3
1
1
1
3
5
1
10
1
3
1
1
2
1
1
2
1
1
3
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
5
3
1
1
3
1
1
2
1
1
2
1
186
1
3
1
3
1
1
1
1
1
3
1
1
1
1
5
2
3
11
1
3
1
5
1
1
1
1
2
1
1
2
1
3
1
1
3
1
7
3
1
1
3
1
1
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
9
1
1
3
2
1
1
2
1
3
1
1
2
1
3
5
1
2
1
32
1
35
1
1
11
2
3
1
1
1
1
1
1
3
1
5
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
13
5
1
3
1
1
2
1
3
3
3
1
3
1
1
3
1
3
1
1
1
5
1
1
3
3
1
1
1
1
3
2
2
11
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
3
1
2
3
1
1
1
9
1
1
7
465
1
1
2
3
1
1
38
5
1
2
1
1
1
1
1
1
1
1
2
2
1
3
5
2
1
1
3
1
1
1
1
1
1
1
3
1
1
1
10
1
1
2
1
1
1
2
5
1
1
27
1
1
1
1
1
5
1
2
1
3
3
1
1
1
3
5
3
6
3
1
3
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
7
3
1
1
5
1
1
3
1
3
1
2
1
3
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
3
1
3
1
1
1
5
1
5
1
1
3
1
1
3
4
1
3
28
1
2
1
5
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
7
1
1
1
1
1
1
1
3
1
3
1
1
11
3
1
3
3
2
3
1
3
2
1
1
1
3
2
7
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
7
1
3
2
1
1
1
1
1
5
3
1
1
1
2
1
9
2
1
1
1
1
1
1
7
1
2
1
2
6
1
1
1
1
1
2
3
1
1
1
1
11
7
2
2
3
3
9
3
1
1
2
1
1
1
1
1
2
2
1
1
1
1
4
3
1
1
1
2
4
1
5
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
3
5
1
1
1
1
1
1
1
1
3
1
1
2
1
2
3
1
3
1
2
1
1
1
1
1
3
3
1
1
1
1
3
5
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
3
2
5
5
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
1
1
1
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
21
1
1
1
5
3
1
5
1
3
2
1
1
3
10
1
1
1
2
1
1
1
1
1
5
1
3
1
1
1
1
3
3
6
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
3
2
1
2
3
1
5
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
17
1
1
1
3
2
1
1
1
1
5
1
3
1
1
3
1
1
1
1
3
1
3
1
1
3
1
1
7
1
1
1
6
1
1
3
1
3
1
1
1
3
3
1
1
1
1
1
1
1
13
7
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
3
1
3
3
1
3
1
21
1
2
2
9
1
1
3
3
1
1
3
1
1
1
9
3
1
1
1
2
1
3
1
1
1
3
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
43
1
5
1
1
1
1
17
1
1
9
1
1
1
2
5
2
1
3
1
2
3
1
3
1
3
1
1
1
1
1
2
1
3
8
1
1
1
3
1
1
3
1
2
3
2
1
1
2
1
1
4
1
1
1
1
3
8
1
1
7
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
5
1
3
1
1
2
1
3
1
1
1
1
3
1
3
1
13
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
3
2
3
1
1
5
1
1
1
1
1
1
1
3
3
5
1
1
1
1
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
3
2
3
1
1
2
1
7
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
13
1
20
1
1
3
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
9
1
79
5
1
1
1
1
1
5
1
1
1
3
1
1
1
1
3
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
2
3
7
1
1
3
1
1
3
1
3
1
1
1
1
1
25
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
6
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
4
1
2
1
1
1
2
1
5
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
21
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
3
1
1
3
1
1
1
3
3
3
11
3
1
3
1
1
3
1
4
2
1
1
3
3
1
2
1
3
1
3
1
1
3
1
1
1
1
1
1
3
3
1
1
3
1
3
1
1
3
1
2
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
2
37
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
3
2
1
1
1
3
7
1
3
1
1
1
3
4
1
1
3
1
3
1
1
1
1
3
1
2
1
3
3
1
1
2
3
1
1
1
1
1
1
1
4
3
2
3
1
2
4
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
3
5
1
4
1
1
5
1
1
3
1
3
3
1
1
1
1
3
14
1
1
1
1
1
2
1
3
1
1
3
1
1
1
3
1
1
3
1
3
1
3
1
2
2
2
1
1
2
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
3
1
9
1
2
1
1
6
1
1
2
1
1
1
3
2
1
1
2
1
1
1
3
1
5
4
1
1
6
1
2
1
1
5
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
2
3
2
1
5
2
1
3
3
1
1
1
3
4
3
1
1
1
2
1
1
1
3
1
3
1
1
29
1
1
1
1
1
1
1
1
3
5
2
1
1
1
2
3
1
197
3
1
1
2
1
3
1
2
1
1
1
3
3
3
2
2
1
3
1
2
1
2
1
3
7
2
5
3
1
1
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
2
1
3
3
3
3
1
1
1
1
19
4
1
1
3
1
1
3
1
3
1
5
3
1
1
1
1
3
2
1
3
1
1
1
1
5
3
1
15
2
1
52
3
3
1
3
1
5
1
1
1
1
3
5
3
5
1
1
3
1
2
1
3
3
3
5
1
3
1
3
3
3
1
3
1
1
1
1
3
1
1
1
1
3
1
6
1
3
1
3
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
9
1
1
1
1
1
1
1
15
1
1
1
1
1
1
5
2
1
3
2
1
1
1
2
1
2
3
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
4
1
3
1
1
1
1
1
4
2
1
1
1
2
1
1
1
2
1
1
3
1
1
3
1
1
3
1
3
1
1
3
2
1
1
12
2
1
1
1
1
1
1
2
1
3
1
6
1
5
1
1
1
3
1
1
1
37
2
1
5
2
1
1
3
3
1
1
3
1
1
1
3
1
2
1
1
1
3
5
1
3
7
1
1
1
1
1
1
20
2
3
3
1
3
1
5
1
3
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
2
7
1
1
1
1
1
3
1
1
1
1
1
5
3
3
1
1
1
3
1
1
3
4
1
1
1
1
1
1
1
3
3
1
2
1
1
3
3
1
5
1
5
1
1
1
1
1
1
1
2
3
3
2
1
17
1
1
1
3
3
1
1
1
25
1
1
1
1
3
1
1
1
2
3
1
3
1
3
1
1
1
1
1
1
3
7
1
1
3
8
1
1
1
1
1
9
1
3
3
3
2
3
1
3
1
1
3
2
1
3
4
3
2
3
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
1
5
3
1
1
1
1
1
3
1
1
27
4
1
1
3
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
2
1
2
1
1
2
2
1
97
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
2
1
1
2
3
1
1
1
2
1
1
411
1
1
1
1
1
1
1
1
3
7
1
3
1
2
2
1
12
1
1
3
5
3
1
2
1
1
1
1
1
1
1
2
1
1
16
1
1
5
1
1
2
1
1
1
3
1
1
1
2
2
1
1
1
1
1
2
3
1
1
9
1
2
5
3
11
1
2
3
1
1
6
3
5
1
3
1
1
1
1
1
1
2
1
7
3
1
3
3
1
1
1
3
1
1
3
1
1
1
7
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
14
1
1
1
1
2
1
5
1
3
1
5
1
1
1
1
1
1
5
1
4
1
1
2
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
2
4
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
3
2
7
1
3
1
1
5
2
1
3
1
1
3
1
1
1
25
3
2
1
3
1
1
1
1
1
1
3
1
1
1
2
1
7
7
1
2
1
1
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
4
1
1
3
2
1
1
1
1
3
2
3
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
5
3
1
2
1
1
1
1
1
1
1
1
1
1
1
7
3
3
1
3
1
3
1
1
1
1
5
3
1
1
1
1
1
5
1
6
1
3
1
2
3
3
3
1
1
1
3
1
1
1
3
1
1
5
3
1
3
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
3
1
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
5
1
1
1
1
1
1
1
2
4
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
3
1
7
3
3
6
1
1
1
1
5
1
1
3
1
5
1
2
1
3
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
3
1
1
1
1
31
1
1
3
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
37
2
2
1
1
2
1
5
1
1
9
1
2
1
1
1
1
1
3
1
8
1
1
5
3
1
2
1
2
1
3
1
3
3
1
1
1
1
1
3
1
1
1
2
3
1
1
2
5
2
1
1
1
4
1
3
1
1
2
2
1
1
1
1
1
1
1
3
1
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
5
11
1
1
1
2
3
1
41
2
3
6
1
3
1
1
1
4
1
1
1
1
1
1
1
2
1
1
1
7
1
1
1
7
3
1
1
3
3
1
1
1
3
2
1
1
2
1
1
1
3
2
1
1
3
1
2
3
1
1
1
1
1
1
1
1
1
1
3
1
1
67
1
1
1
1
3
1
1
47
1
3
3
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
5
1
1
1
1
3
1
4
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
5
1
1
2
2
1
1
1
1
1
1
3
5
1
2
2
2
2
1
3
1
1
2
1
3
1
2
1
1
2
12
2
1
1
1
5
1
1
1
1
4
2
1
2
1
1
1
1
3
3
2
4
3
2
3
1
3
1
5
1
17
1
2
1
1
5
2
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
4
2
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
2
3
1
1
4
1
1
3
5
1
1
1
1
1
1
3
5
3
2
2
1
1
1
2
1
3
1
3
2
7
1
1
5
2
5
2
1
1
2
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
1
1
9
1
1
1
10
1
3
1
1
1
3
1
3
1
2
3
1
1
1
1
5
1
1
61
2
1
1
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
9
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
5
3
1
1
1
2
3
1
2
1
1
1
3
2
1
1
3
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
5
7
1
3
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
3
1
1
1
1
9
1
1
1
3
25
1
1
1
1
1
1
5
3
1
3
1
3
41
3
1
1
2
1
1
1
1
1
1
1
5
7
1
1
2
1
1
1
3
1
1
2
1
1
5
1
1
1
2
5
3
1
1
1
5
3
2
2
1
1
1
1
2
1
2
3
1
1
3
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
7
21
1
1
1
3
1
1
1
3
1
1
1
1
1
3
1
1
99
1
2
1
1
1
3
1
1
3
1
1
5
5
1
5
1
1
1
3
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
10
1
2
1
1
1
3
3
2
1
5
4
3
1
3
1
1
1
1
3
2
3
2
3
1
1
3
1
1
1
2
1
1
3
1
3
7
1
1
1
1
1
3
2
3
1
4
5
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
6
1
1
3
1
5
1
1
1
1
1
1
1
1
1
3
21
2
1
1
1
7
3
3
1
3
1
1
3
1
1
1
1
1
1
1
1
8
1
5
3
1
1
9
1
1
1
3
1
2
1
1
1
2
3
7
1
1
3
1
5
1
1
3
1
1
2
5
1
1
1
1
3
1
1
1
1
2
1
3
1
10
1
1
5
1
8
1
1
1
1
1
15
3
1
1
1
1
3
2
1
1
1
1
1
3
1
1
3
3
3
1
1
1
11
5
2
1
1
1
1
1
1
1
13
1
1
1
5
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
13
1
3
1
1
1
3
1
3
1
1
3
1
2
3
3
1
1
3
6
3
1
1
2
1
3
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
3
1
4
1
3
1
3
1
1
1
1
1
1
1
1
8
2
1
1
1
1
43
3
3
5
1
2
3
2
1
1
1
1
9
2
1
2
1
3
1
1
1
4
1
1
1
3
1
5
3
1
1
1
8
2
2
1
1
1
7
1
3
1
1
1
1
3
1
2
3
1
1
1
1
5
1
1
2
1
1
3
3
1
1
2
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
8
2
1
1
1
6
2
1
1
1
1
1
1
1
3
1
1
5
1
1
3
1
1
1
2
3
1
1
3
1
5
7
1
2
1
1
1
3
1
1
4
1
3
3
1
3
2
1
1
1
3
25
1
1
1
1
2
1
1
1
1
1
3
1
1
7
1
1
1
2
1
1
1
1
3
1
3
1
125
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
11
1
9
3
1
1
1
1
3
3
3
1
1
2
3
2
1
1
11
3
2
2
1
1
1
1
1
2
6
1
2
1
3
1
7
1
1
1
6
1
1
1
9
3
1
3
1
1
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
21
2
2
2
1
1
1
1
1
1
1
1
2
1
3
3
1
1
5
1
3
1
2
1
2
1
3
1
2
1
1
1
2
2
1
5
1
1
1
1
3
1
2
3
1
1
3
2
1
1
2
3
1
1
1
2
3
1
1
3
2
1
3
1
3
3
1
7
1
1
1
1
1
3
3
1
3
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
4
3
1
1
15
1
1
1
1
1
1
3
1
4
1
3
3
1
3
1
1
1
1
1
3
1
1
3
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
46
1
1
1
1
1
1
1
1
1
1
1
4
1
4
2
1
1
7
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
13
1
2
1
3
1
1
1
1
4
2
1
3
1
1
1
5
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
3
1
1
2
9
3
1
1
1
2
1
1
1
2
1
1
1
1
3
7
1
1
1
3
25
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
7
1
1
3
1
3
1
3
1
5
1
1
1
1
6
5
1
1
4
2
2
3
1
1
1
2
1
1
1
3
3
1
3
9
1
1
2
3
1
1
1
2
1
3
1
2
1
3
3
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
2
25
1
1
3
151
3
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
5
1
3
1
1
1
3
1
1
1
1
3
1
1
1
5
5
1
2
2
1
3
5
1
3
3
1
1
7
1
2
3
1
1
1
5
1
2
3
2
3
1
3
4
1
1
1
3
1
2
3
3
1
1
1
1
2
1
1
2
3
1
1
1
1
1
3
1
1
3
7
3
1
1
7
1
7
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
2
1
1
3
1
2
1
7
1
2
1
1
1
1
2
1
1
3
5
1
3
1
1
3
1
1
2
1
1
1
1
3
1
5
1
1
1
2
1
3
3
2
3
2
1
1
5
1
1
1
1
3
2
1
1
3
1
3
1
1
1
1
1
1
1
3
1
2
1
2
2
1
1
1
1
1
3
1
2
2
1
1
5
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
15
1
1
1
1
4
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
3
3
5
1
3
1
1
7
1
1
1
4
1
1
6
1
2
1
3
2
1
1
1
4
3
2
1
1
1
3
1
3
2
2
1
3
1
3
1
1
29
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
3
2
1
1
1
7
1
7
1
1
1
1
1
5
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
3
1
9
1
1
1
3
1
1
3
1
2
1
1
2
6
1
1
3
1
2
3
1
1
3
3
3
1
2
3
1
1
1
3
3
2
1
1
1
1
1
1
39
1
2
7
3
1
1
2
6
1
1
1
1
1
2
2
1
3
1
22
1
3
1
2
1
1
1
2
3
1
1
11
1
1
2
1
1
1
2
3
1
1
2
3
1
1
2
11
2
3
1
1
1
1
3
1
5
3
1
1
1
3
1
1
1
2
1
1
1
1
1
1
21
1
1
2
2
1
3
1
1
1
21
1
1
1
1
1
1
1
3
1
1
3
37
1
2
1
3
1
3
1
1
1
2
2
1
1
1
1
1
1
3
2
3
1
1
1
1
3
5
1
1
3
1
1
4
1
1
1
7
13
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
5
4
3
2
1
1
3
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
4
1
1
1
3
3
1
1
7
1
1
1
1
1
1
3
7
1
1
1
1
1
31
1
2
2
1
1
1
2
1
3
1
1
1
3
3
5
1
1
1
1
1
2
3
1
9
17
1
1
2
1
1
3
1
2
3
5
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
1
3
1
5
11
1
1
3
1
1
1
2
1
3
1
5
5
1
1
5
1
1
1
1
5
2
1
1
1
1
1
3
5
1
1
3
1
1
1
2
1
1
2
1
2
1
1
1
1
1
3
1
5
2
1
1
2
1
3
1
1
1
1
1
2
1
2
2
1
3
1
2
3
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
3
3
1
3
1
4
1
2
1
2
2
2
1
1
1
1
1
9
4
1
1
3
1
1
1
3
4
1
1
1
1
3
1
5
1
7
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
3
1
1
1
2
1
3
1
1
1
2
1
21
1
1
1
1
1
3
1
1
1
2
1
1
1
2
3
3
1
3
1
5
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
5
5
1
10
1
1
1
1
1
3
2
3
1
3
5
3
12
1
1
1
5
2
2
2
2
2
1
1
2
3
1
1
1
1
53
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
3
5
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
2
1
1
3
1
1
3
1
1
3
15
2
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
10
1
1
3
1
2
11
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
57
3
2
9
3
2
1
1
3
1
1
1
1
3
2
1
1
1
1
2
1
3
1
1
3
1
3
5
1
5
1
1
3
1
4
1
9
1
3
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
2
1
1
1
3
1
2
1
1
3
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
2
1
3
1
183
1
1
1
3
3
1
1
2
3
2
1
1
1
1
9
7
2
3
1
10
1
1
555
1
1
2
1
1
1
1
1
1
1
2
1
2
1
3
1
1
4
1
1
3
1
1
1
1
2
3
1
3
3
123
1
3
1
3
1
1
1
2
3
1
3
1
5
2
1
1
3
1
1
1
1
1
1
3
1
1
1
1
8
3
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
3
3
1
3
3
1
1
3
1
1
1
1
3
11
1
14
1
51
1
1
5
1
1
3
3
1
1
1
1
1
1
1
163
1
37
1
9
1
1
1
14
1
1
1
3
1
1
4
1
1
1
12
1
1
1
1
1
1
1
3
2
1
3
2
1
3
1
1
3
1
1
1
11
1
9
1
2
1
1
1
1
3
1
2
2
15
1
2
1
1
2
1
5
3
1
1
3
2
1
1
9
3
1
2
1
1
1
1
2
1
1
3
4
1
1
1
1
1
1
3
1
1
1
1
2
1
9
1
2
1
1
3
9
1
1
1
1
1
1
1
1
1
1
1
3
1
7
3
1
1
7
3
1
1
1
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
3
1
1
2
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
2
1
1
5
1
1
3
1
1
1
1
1
1
1
3
5
3
1
1
1
1
1
1
1
1
1
5
1
1
2
51
1
1
1
1
1
3
1
1
1
3
1
1
3
1
1
9
1
1
5
1
1
21
1
1
3
1
3
3
1
1
1
3
1
1
1
1
1
1
1
1
6
3
1
3
1
1
2
1
2
3
1
3
1
1
1
179
1
1
22
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
3
2
1
3
1
1
1
1
4
1
1
3
2
1
1
1
1
1
1
2
1
1
2
1
5
1
1
1
1
3
2
1
1
1
3
1
1
1
1
4
1
5
5
1
1
2
1
1
1
1
1
1
3
3
2
1
1
7
1
1
9
3
1
1
1
3
3
3
1
1
5
7
1
2
1
1
1
1
1
1
1
1
1
7
1
1
9
1
1
1
2
1
6
2
1
1
8
1
1
5
1
2
3
1
1
1
1
4
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
3
1
30
1
1
1
1
2
1
1
3
2
1
3
1
1
10
1
1
1
1
1
2
3
1
1
1
1
3
2
1
1
1
1
1
23
1
1
4
1
3
1
1
3
1
7
1
19
3
1
1
1
1
1
2
1
1
2
3
1
1
1
3
3
1
3
1
1
1
3
3
1
2
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
5
2
1
1
2
1
1
1
1
3
2
2
3
1
1
3
1
1
5
3
3
2
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
3
1
1
5
2
1
1
27
1
1
1
1
1
1
2
1
1
3
1
5
2
1
1
1
1
1
1
1
1
1
3
1
1
3
7
2
1
1
9
3
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
2
2
3
1
1
3
1
1
2
5
1
1
3
1
1
2
1
1
3
1
3
2
3
1
3
21
1
1
2
5
1
3
3
1
1
3
2
493
1
3
3
1
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
2
2
3
1
8
2
1
1
1
3
1
1
3
1
1
3
59
1
6
7
1
1
1
1
2
7
1
2
1
1
1
1
4
4
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
4
1
1
1
1
2
1
3
4
1
1
1
2
3
3
1
1
4
1
1
1
1
1
2
1
3
1
1
3
2
2
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
3
1
2
2
1
1
1
49
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
85
1
4
1
1
9
1
1
1
1
3
2
1
1
2
1
3
1
1
1
1
2
1
1
1
3
1
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
3
1
3
3
2
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
7
2
1
1
3
4
2
2
3
2
1
5
1
1
1
2
1
1
5
1
1
1
1
1
1
1
18
1
11
1
3
1
1
1
1
1
1
1
7
1
1
1
2
1
4
1
1
1
1
1
15
2
1
3
3
3
3
12
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
5
3
3
1
1
1
1
3
3
65
1
1
1
2
1
1
2
1
3
1
1
11
1
1
1
1
1
1
1
1
3
1
233
1
3
1
1
3
1
1
5
3
1
1
1
3
4
1
1
1
1
3
1
1
2
1
1
1
1
1
3
4
1
4
3
1
1
99
3
1
3
7
2
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
3
1
2
1
1
1
2
3
5
1
3
1
1
1
3
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
7
1
1
1
1
3
5
1
7
1
1
1
1
2
59
1
2
5
3
1
1
1
1
2
1
1
3
1
2
3
2
3
5
1
3
2
1
3
1
3
6
137
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
4
1
1
2
1
1
3
1
1
1
1
1
1
15
1
2
1
3
1
1
1
1
2
1
1
3
1
1
3
2
1
1
2
1
1
1
1
5
1
3
1
1
3
1
1
1
1
15
3
1
1
1
1
2
1
1
1
1
4
1
1
3
1
1
1
1
2
3
3
3
1
3
3
1
3
1
2
5
1
1
1
1
1
1
2
1
1
1
4
1
1
1
5
1
2
1
5
1
3
7
3
6
3
1
2
1
13
1
1
2
1
3
3
3
1
1
1
1
1
3
1
1
3
3
1
1
1
1
2
7
1
1
1
1
1
3
3
1
3
2
1
1
1
2
3
1
3
1
2
1
4
1
3
1
1
3
4
3
1
5
2
1
1
3
11
7
2
1
2
1
3
3
1
1
1
1
1
1
5
1
3
1
1
1
4
2
2
11
1
29
1
2
3
1
1
2
1
3
2
1
10
3
12
1
2
1
2
3
1
1
1
1
3
1
1
5
3
50
3
1
1
1
2
1
1
3
1
1
1
1
5
1
2
1
1
1
1
7
1
1
3
3
3
3
3
1
1
3
5
3
1
1
2
3
1
2
3
1
1
1
1
1
1
6
1
1
1
4
1
1
1
3
1
1
5
1
2
1
2
1
1
8
1
1
3
1
2
1
1
1
2
3
9
1
3
1
1
1
1
2
3
3
1
1
1
1
5
10
3
1
1
3
2
1
1
1
1
1
2
1
1
7
2
1
1
1
1
2
1
1
3
1
3
3
7
1
1
1
1
1
1
1
1
1
5
3
3
3
3
2
1
1
1
3
1
4
9
5
1
3
1
1
1
5
1
1
1
2
1
1
3
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
2
5
1
1
2
5
1
3
1
1
1
9
1
1
1
4
42
3
3
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
7
1
3
1
1
1
2
1
1
1
1
1
2
3
1
1
2
1
3
4
3
1
1
1
1
3
1
1
3
3
1
1
1
1
2
2
1
1
1
1
1
1
3
1
3
1
1
29
1
3
1
1
2
1
1
1
11
1
1
1
1
1
1
4
1
1
1
7
1
1
1
1
2
1
1
5
27
1
1
1
5
1
1
1
1
1
1
1
1
1
10
5
1
1
1
1
1
1
2
1
27
1
3
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
3
1
2
1
1
3
1
2
1
1
1
7
5
3
1
4
1
1
2
1
1
1
2
1
1
1
1
2
3
1
1
3
3
1
7
1
1
3
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
1
1
3
1
1
1
3
1
3
1
1
3
1
3
1
1
2
1
1
1
1
3
1
7
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
3
1
6
1
1
3
1
1
11
1
1
3
1
1
1
5
1
3
1
1
5
2
1
3
3
3
3
1
1
3
3
1
3
3
1
1
1
5
1
1
5
1
1
3
1
1
1
17
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
5
2
1
1
3
3
5
1
2
1
1
1
1
1
1
1
1
1
15
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
2
2
2
3
2
3
1
3
1
1
3
1
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
3
5
1
1
3
1
1
1
1
1
2
1
2
1
2
1
3
3
1
1
2
1
1
1
1
3
1
1
3
3
5
3
1
1
2
1
1
23
3
1
3
1
1
1
1
1
1
7
1
1
7
1
5
1
1
2
1
3
3
1
1
1
3
1
1
1
1
1
3
1
3
2
1
1
1
1
3
1
1
1
1
1
1
1
1
5
3
1
1
1
1
3
2
3
2
1
1
3
3
1
1
1
2
1
1
1
5
1
3
1
1
1
1
1
1
1
2
3
1
1
1
19
1
1
1
2
1
1
1
1
1
1
6
1
1
1
2
1
1
6
2
1
3
1
1
3
1
1
1
3
1
1
1
3
1
2
5
1
1
2
5
1
1
1
3
1
1
4
1
25
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
6
1
1
2
3
3
1
5
1
1
1
1
1
1
1
3
3
1
1
1
3
1
2
1
1
3
3
2
1
1
1
1
1
1
1
3
1
3
3
2
1
2
1
1
1
1
1
4
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
5
2
3
3
1
1
1
3
1
1
1
1
4
1
5
2
1
1
2
1
1
1
1
3
1
1
1
1
1
20
1
1
1
2
7
2
1
1
1
1
2
1
1
1
1
2
7
2
1
1
3
3
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
2
1
3
1
1
1
1
1
5
3
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
3
1
7
1
1
1
9
1
35
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
2
1
1
1
3
1
1
4
3
1
1
1
2
1
1
5
1
1
10
1
5
1
5
2
1
1
1
3
1
2
1
1
2
2
3
5
1
1
1
3
1
3
1
2
1
1
1
3
1
1
2
2
3
5
1
1
5
5
1
1
3
1
3
1
1
1
1
1
1
1
2
1
3
1
4
1
1
3
1
1
3
1
15
1
1
3
1
1
2
1
1
1
3
4
1
1
1
5
1
1
1
3
1
2
1
3
1
1
1
1
2
1
2
1
1
1
1
2
1
1
3
1
2
1
1
1
1
3
1
1
1
1
2
1
1
2
1
1
1
1
2
7
3
1
9
1
1
1
1
3
1
1
1
3
1
3
3
3
1
1
1
1
17
1
1
1
1
2
1
5
2
3
1
1
1
3
63
1
1
7
1
2
1
1
3
1
1
1
1
1
1
1
3
5
1
2
5
13
1
2
1
3
1
3
1
1
1
1
1
3
1
1
1
3
1
3
3
1
1
1
1
1
1
7
1
1
1
3
1
1
3
1
1
1
1
3
1
1
4
3
3
1
3
5
1
1
2
1
1
1
3
1
1
1
2
1
3
2
1
1
1
1
1
3
1
1
3
1
3
3
1
1
1
1
1
1
1
72
3
1
3
2
2
1
1
1
1
3
1
7
1
1
1
1
3
1
2
6
1
2
1
2
2
1
1
3
1
5
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
9
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
3
1
1
1
2
1
1
3
1
3
1
1
1
1
3
1
5
1
69
1
1
1
1
2
1
5
5
1
3
11
14
3
1
3
3
1
1
1
1
1
1
1
1
6
3
1
6
1
1
2
5
1
1
1
1
5
3
1
3
1
1
1
1
1
2
2
3
2
1
1
3
1
3
1
1
1
3
2
5
1
1
1
1
3
7
1
3
4
1
3
1
11
1
1
1
1
1
1
1
1
3
3
1
1
15
1
1
1
1
5
2
1
1
1
1
3
1
1
6
1
1
1
1
1
1
3
1
2
3
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
1
1
3
1
3
13
2
3
1
2
3
1
7
1
1
1
7
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
6
1
1
1
5
1
1
1
5
1
3
1
1
1
1
5
1
1
1
1
9
1
3
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
3
3
1
2
2
1
1
1
3
1
1
1
3
3
7
3
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
3
1
1
1
5
3
3
1
2
2
3
1
3
1
1
1
1
2
1
1
1
1
9
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
2
1
3
1
3
1
1
3
3
1
1
1
1
1
1
2
1
1
1
1
3
2
3
1
1
5
1
3
1
1
1
1
3
1
1
1
1
3
1
1
9
1
1
1
13
1
2
1
5
1
1
1
1
1
1
8
1
1
7
6
1
4
1
1
1
1
1
3
1
1
3
35
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
7
1
1
4
1
1
52
1
1
1
1
1
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
1
4
1
1
2
21
1
2
1
1
2
1
1
1
1
1
1
3
1
2
5
1
2
1
1
1
3
1
1
1
1
1
4
1
1
1
95
3
11
7
1
1
1
1
1
2
1
3
9
1
1
3
129
1
1
2
1
1
2
4
1
3
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
5
1
2
4
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
5
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
4
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
2
1
1
2
2
3
1
13
1
5
1
4
2
1
1
1
3
1
2
3
2
6
1
3
1
3
1
1
3
1
1
1
6
1
1
5
1
2
1
1
3
1
1
1
3
1
1
1
3
1
1
3
2
1
3
1
1
3
1
7
1
1
1
2
1
1
3
1
1
3
2
1
3
1
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
3
2
13
3
1
3
2
1
1
1
1
1
1
3
1
3
1
1
3
1
1
3
3
1
1
1
3
3
1
1
3
1
1
1
1
38
1
1
1
1
3
1
1
1
1
1
11
3
1
16
7
1
1
1
1
1
1
1
1
1
1
1
3
1
1
16
1
3
3
1
2
1
1
1
1
2
1
1
3
1
1
1
2
1
3
3
1
2
1
1
5
2
1
1
1
1
3
1
1
1
3
3
1
1
63
1
1
3
1
1
3
1
2
2
2
1
5
1
1
2
2
1
1
1
3
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
2
1
1
1
8
1
1
1
1
1
1
1
3
3
1
1
3
5
1
1
1
3
7
2
1
1
3
1
1
8
1
1
1
2
11
5
1
6
1
1
1
1
1
2
3
1
1
1
1
1
2
3
3
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
3
3
1
2
1
1
3
1
1
3
1
35
50
1
1
1
1
1
3
1
1
1
3
2
1
1
1
1
1
3
3
1
3
1
9
1
1
1
1
1
1
3
3
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
5
1
1
9
3
1
1
4
2
1
3
1
19
1
1
3
1
2
3
3
1
1
3
1
1
1
1
1
2
1
3
1
1
1
4
1
5
1
1
1
1
13
3
2
2
1
1
1
1
1
1
1
1
3
3
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
15
1
1
2
1
1
1
1
1
1
1
3
3
8
1
1
1
1
2
1
3
1
1
4
2
3
1
1
1
2
1
1
3
1
1
1
6
2
1
2
1
1
1
1
1
3
2
11
1
3
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
3
1
3
1
1
1
2
1
1
1
3
1
3
3
9
1
1
1
1
1
5
1
1
3
1
1
1
1
1
1
1
4
3
2
1
2
1
1
1
1
1
3
1
1
1
3
1
3
1
1
1
3
5
1
3
1
3
1
1
3
2
1
3
2
1
1
1
1
1
1
1
3
1
1
1
3
1
1
3
2
1
1
1
1
1
9
73
1
1
1
1
1
1
3
3
1
1
3
1
7
1
1
1
2
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
1
1
4
1
1
1
1
3
3
15
1
1
1
1
3
1
1
1
1
59
1
1
1
1
1
1
3
1
1
1
2
1
1
1
7
1
3
1
5
1
1
1
2
1
1
5
1
1
1
1
2
1
1
1
1
1
2
3
1
2
1
1
3
1
1
1
2
1
1
1
1
3
1
1
3
1
2
1
2
1
1
1
3
9
1
1
1
1
1
1
1
1
2
2
5
3
5
2
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
3
5
1
2
5
6
3
1
1
1
1
1
3
1
3
1
1
3
1
2
1
3
1
7
2
1
11
2
1
1
1
1
13
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
77
1
4
2
1
12
3
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
16
1
1
1
2
13
1
2
2
1
2
1
1
1
1
1
1
1
1
1
38
1
1
3
1
2
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
3
3
6
1
1
1
1
5
7
2
3
1
3
1
1
1
7
5
3
3
1
1
1
1
1
2
7
3
7
1
1
1
1
1
1
1
1
7
1
1
3
1
2
7
1
3
1
1
1
1
1
1
1
3
3
1
2
2
1
3
3
1
1
81
1
5
1
1
1
1
1
3
3
1
1
15
1
1
13
1
1
1
1
2
1
3
1
3
1
3
1
11
1
1
3
1
1
1
1
1
25
6
1
3
1
1
3
1
1
1
1
1
2
1
1
2
1
1
5
1
2
1
1
1
1
1
1
1
1
1
23
2
5
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
3
1
1
3
3
1
1
4
3
2
1
2
3
1
2
3
1
1
2
2
1
1
3
3
1
1
1
1
1
1
1
1
3
2
5
1
7
1
1
1
1
1
1
1
3
3
2
3
1
1
1
1
1
1
1
1
3
1
5
3
1
1
1
1
1
2
1
4
2
1
1
6
1
1
1
2
1
3
53
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
2
1
1
1
1
3
1
65
1
1
7
1
3
1
1
1
2
3
1
3
3
1
1
1
1
1
1
1
1
1
2
3
9
1
1
1
3
7
3
1
2
2
1
1
1
1
2
1
1
1
2
4
1
32
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
7
1
3
1
2
1
3
1
1
1
1
1
1
1
1
4
1
4
3
5
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
3
1
5
3
1
1
1145
1
1
2
3
1
1
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
2
2
2
1
3
1
1
5
1
5
1
1
1
1
3
3
1
1
1
1
2
3
3
1
1
5
1
3
1
1
9
2
1
3
3
1
1
1
1
1
3
1
3
1
2
1
1
1
1
3
2
1
13
17
2
1
1
1
1
1
1
1
1
7
1
3
9
1
1
2
3
3
1
3
3
3
1
1
3
1
2
1
1
1
1
1
1
3
5
1
1
5
5
1
1
1
3
1
1
1
1
1
1
7
1
1
1
3
1
1
9
1
2
2
1
1
2
3
1
1
1
1
2
1
1
1
3
3
1
1
1
5
1
1
1
1
1
3
1
7
2
1
1
1
1
1
1
1
3
1
3
2
1
1
3
1
3
3
3
1
1
2
1
2
13
1
1
1
1
1
1
5
1
1
1
1
2
3
3
3
1
1
9
1
5
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
3
3
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
9
1
1
1
1
1
1
3
5
1
1
1
1
1
1
3
15
3
1
1
1
1
7
1
1
1
1
1
1
1
1
7
1
3
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
1
1
3
3
2
2
1
1
1
1
3
7
1
1
2
3
1
3
1
1
1
1
1
2
1
1
3
1
1
3
1
1
3
1
1
1
4
3
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
2
1
2
1
1
3
2
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
17
1
1
2
1
1
2
2
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
3
1
2
1
1
1
1
1
2
1
1
4
3
4
1
5
2
3
3
1
47
1
5
1
1
1
1
3
1
3
1
2
3
1
1
1
1
1
1
4
1
1
5
7
3
1
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
5
1
1
1
1
1
1
3
2
1
1
7
1
4
1
3
1
1
3
1
1
3
3
3
1
1
3
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
17
1
1
5
1
9
1
1
4
1
3
3
1
1
1
1
1
33
1
1
1
1
1
1
3
1
1
15
2
5
1
1
3
1
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
5
1
7
1
7
1
1
1
6
1
1
3
5
1
1
1
1
5
3
1
1
1
2
1
1
1
3
1
1
1
1
2
1
1
1
2
1
2
3
5
1
1
3
1
1
3
1
1
3
5
3
1
1
1
4
1
2
3
11
3
1
3
2
1
1
3
2
1
2
2
1
1
11
1
1
1
3
1
1
1
1
7
1
1
1
1
1
1
2
1
7
1
1
1
1
1
1
1
2
3
1
1
11
1
1
1
1
1
15
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
11
1
1
1
2
1
1
1
3
1
3
1
1
1
1
1
2
1
1
9
1
3
3
1
3
7
1
1
1
1
2
1
7
1
1
1
1
3
5
1
3
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
6
2
3
1
1
3
3
2
3
1
1
1
5
3
3
1
4
1
2
2
3
1
1
1
7
2
1
1
2
3
3
1
1
1
1
1
1
11
1
1
1
9
1
3
3
1
3
1
3
1
1
1
1
1
1
1
1
5
1
1
1
2
1
11
3
1
1
3
3
1
1
2
3
1
1
1
1
119
3
1
2
2
1
2
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
5
1
3
1
5
137
1
1
1
2
1
2
1
1
3
1
1
2
1
1
1
2
1
1
1
1
1
2
3
2
1
3
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
3
3
6
1
1
20
3
3
3
1
1
1
1
1
3
3
1
1
1
1
2
2
1
2
1
1
1
3
1
1
3
1
2
1
1
1
1
11
1
1
1
2
3
1
1
3
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
2
1
1
1
2
1
1
3
5
3
1
1
1
1
1
3
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
9
1
1
3
1
1
1
1
3
3
2
1
1
1
1
1
1
2
1
2
5
1
1
1
5
1
1
1
1
1
3
2
17
1
1
1
1
1
1
1
1
3
1
1
1
8
1
3
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
3
1
1
42
1
1
3
1
1
1
1
23
5
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
2
1
3
2
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
55
3
1
1
1
3
1
91
1
5
5
1
1
1
1
1
1
1
1
5
1
1
1
1
3
3
1
1
1
7
1
1
2
7
1
1
1
1
2
1
2
1
1
1
7
7
3
4
1
7
1
3
4
1
1
3
1
1
2
3
1
1
1
1
1
1
1
2
1
1
3
1
1
3
3
1
1
3
1
2
37
1
1
7
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
1
3
2
1
1
5
3
1
3
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
1
2
2
1
1
3
1
1
2
1
2
1
1
1
1
2
1
1
1
1
7
1
1
1
1
31
1
1
1
2
1
2
1
1
2
2
1
1
4
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
1
3
2
6
3
1
1
3
1
1
11
1
1
1
1
1
1
1
6
2
1
2
1
1
1
2
1
3
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
44
1
2
1
7
1
1
1
1
1
3
1
9
2
1
2
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
2
1
3
1
2
1
1
7
1
1
1
1
2
3
3
3
1
1
1
88
1
3
1
1
1
5
1
3
1
1
3
1
3
2
3
345
1
1
1
1
1
1
1
1
1
13
1
2
3
3
1
1
2
1
1
1
3
5
1
1
1
1
1
2
3
1
7
3
3
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
7
1
3
1
1
3
1
1
3
1
1
3
1
1
2
2
1
2
1
97
1
1
1
2
1
1
1
1
1
1
1
1
5
1
3
3
1
3
3
1
1
3
3
1
1
1
3
1
1
1
1
1
1
1
2
3
1
43
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
2
1
1
2
5
1
1
1
1
3
2
1
1
1
2
2
3
7
1
1
1
1
1
1
2
1
3
1
1
1
1
3
4
1
3
3
6
2
4
5
2
1
1
3
1
1
1
3
3
2
1
1
5
3
1
1
2
1
1
1
1
1
2
1
3
5
1
2
1
1
1
11
2
1
1
1
3
3
1
1
1
18
1
1
2
3
2
2
3
129
1
1
1
3
3
1
1
1
2
1
1
1
2
1
2
1
1
3
1
1
1
1
1
3
1
3
2
3
1
2
1
1
3
1
1
3
1
1
1
1
1
5
3
3
2
3
1
27
1
3
1
3
3
1
9
1
3
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
3
2
3
1
1
1
1
3
1
1
3
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
9
2
1
1
3
1
1
1
1
1
1
1
1
3
3
1
5
1
1
1
1
1
1
1
3
1
6
1
1
3
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
3
2
1
1
3
3
1
1
1
1
1
13
2
3
3
2
1
1
3
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
2
3
1
1
1
1
3
2
1
3
3
1
1
5
3
1
1
5
1
1
7
1
1
3
1
1
13
1
3
3
3
1
1
1
1
1
3
1
1
3
1
1
1
3
8
1
1
2
1
1
11
2
1
3
1
5
1
11
8
1
2
1
2
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
13
1
3
3
1
3
5
3
5
1
1
1
3
1
3
3
2
4
1
1
1
1
11
5
1
7
1
1
1
2
1
1
1
2
1
1
1
3
5
1
1
1
2
1
1
1
1
1
3
1
1
6
1
1
17
3
1
1
2
1
5
1
1
1
7
1
1
1
3
3
1
1
1
1
1
3
1
5
3
3
3
1
5
4
2
1
25
3
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
69
1
1
3
5
1
1
1
1
3
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
3
3
3
1
3
1
1
5
1
1
3
1
1
1
1
3
1
3
2
3
1
1
2
1
1
3
1
3
1
2
1
3
2
1
1
1
1
3
3
2
15
1
5
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
4
1
1
1
1
1
11
2
1
1
1
1
1
1
1
1
1
1
2
1
1
6
1
1
1
1
1
1
1
3
3
1
1
1
3
1
5
1
1
2
5
2
2
1
1
1
1
2
1
1
2
1
3
2
1
1
1
1
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
14
1
1
3
25
3
1
1
3
1
1
1
1
1
1
1
3
13
3
1
1
1
1
1
3
1
1
1
3
1
1
1
5
1
1
2
1
2
37
3
1
1
1
3
1
1
1
2
1
3
1
1
7
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
14
1
1
1
1
3
1
7
1
2
4
1
1
1
2
1
1
1
1
7
2
1
1
1
1
1
1
7
1
1
1
1
2
1
1
246
1
1
1
2
1
3
1
1
1
2
1
2
9
3
1
7
2
1
1
1
3
2
1
1
1
2
3
1
9
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
2
1
9
1
1
3
3
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
3
1
17
4
3
1
1
1
3
1
2
1
2
3
1
1
1
1
1
1
3
1
1
3
3
1
2
1
1
3
3
1
1
9
2
59
2
1
1
1
1
1
5
3
15
3
1
1
3
5
1
1
3
1
1
1
1
3
1
1
5
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
2
4
1
3
1
1
1
2
7
1
5
1
1
1
3
1
5
4
1
3
1
3
1
17
1
1
1
1
3
1
1
1
3
7
3
1
1
1
1
3
1
1
5
2
1
1
3
1
1
3
1
1
1
1
3
1
1
2
1
3
3
1
2
2
2
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
16
1
1
1
1
1
1
1
1
1
3
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
3
2
1
1
3
1
3
1
1
1
2
1
3
1
5
1
1
3
1
1
1
1
3
5
1
2
1
4
1
1
9
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
69
1
1
1
3
3
1
3
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
9
1
3
1
1
3
1
10
3
1
1
1
3
1
1
7
145
1
3
1
1
2
3
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
7
1
1
1
1
583
1
1
1
3
2
3
51
1
2
1
1
4
1
2
3
8
1
1
9
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
7
1
1
1
1
4
1
1
1
1
1
2
2
2
18
30
2
1
1
1
5
1
3
4
2
1
3
1
1
2
1
1
1
1
1
1
3
1
1
3
3
1
3
2
2
1
1
1
1
1
1
1
4
1
1
1
1
8
2
3
1
3
1
1
5
4
1
3
1
1
1
4
1
4
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
2
11
1
1
1
5
2
5
7
1
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
3
1
7
5
1
1
1
3
1
7
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
3
1
1
8
1
1
7
1
1
1
1
5
1
3
3
1
1
16
2
1
2
3
1
3
1
2
3
1
1
1
3
3
1
1
3
3
1
3
1
2
3
1
1
1
1
1
1
1
2
2
1
1
3
2
1
1
1
1
1
3
1
1
2
2
1
3
3
1
4
1
1
1
1
1
3
3
3
1
1
3
1
1
3
1
7
1
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
9
1
3
1
2
1
1
3
1
3
1
2
1
1
1
5
1
1
1
1
1
3
3
1
1
1
3
3
1
1
3
1
1
1
1
1
1
5
1
1
7
1
1
1
1
1
1
4
1
1
1
3
1
2
1
2
1
2
3
1
2
3
1
1
1
3
3
4
3
1
7
5
2
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
2
1
3
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
1
1
45
1
3
2
5
5
3
1
1
1
3
1
2
1
1
1
1
7
5
3
1
1
1
2
1
1
1
1
1
1
1
1
3
1
11
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
3
3
1
3
1
1
1
2
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
7
5
3
1
2
1
1
3
1
1
1
1
1
2
2
3
1
4
1
1
1
1
3
4
1
3
1
1
2
1
1
1
1
3
3
1
1
2
1
1
1
1
3
3
1
1
3
1
2
1
5
1
2
1
3
1
2
1
1
1
3
3
1
1
4
1
1
1
2
1
2
3
9
1
1
2
3
1
6
3
7
1
5
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
4
1
1
1
3
1
1
1
1
1
1
179
2
1
1
1
3
1
3
1
1
3
1
1
1
1
2
1
5
1
3
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
8
1
3
1
3
3
1
1
3
1
1
1
1
7
3
1
1
1
1
1
1
1
2
1
3
1
3
1
5
1
2
2
3
3
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
2
1
3
1
15
4
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
11
5
1
3
1
1
1
1
1
1
6
1
2
27
5
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
3
1
1
1
1
1
5
1
2
17
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
38
1
1
1
1
1
1
3
1
1
3
1
1
1
5
1
2
2
3
1
1
3
3
1
1
1
1
1
1
1
6
5
1
1
1
3
2
1
3
3
11
25
1
1
1
2
1
1
3
1
1
4
1
1
3
1
1
3
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
7
3
3
1
3
1
3
1
3
1
4
2
3
2075
2
1
1
1
2
3
1
1
3
1
1
2
3
1
3
2
1
51
1
1
1
1
1
1
1
1
1
3
2
2
9
3
3
1
1
1
1
1
3
3
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
3
3
3
1
3
3
1
1
1
1
3
4
1
3
1
1
4
1
1
1
1
2
25
1
15
1
1
1
3
1
1
1
1
71
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
2
1
2
2
1
5
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
14
5
3
1
1
1
3
1
3
3
1
1
30
1
1
1
1
1
1
1
3
3
1
3
2
1
2
1
1
2
1
13
1
1
3
3
1
3
1
1
1
1
3
1
6
1
1
5
1
2
1
1
1
2
11
2
1
1
1
1
2
1
1
2
1
1
3
1
3
1
2
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
7
9
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
2
1
3
1
1
1
1
1
7
1
3
4
1
1
4
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
8
1
1
5
1
1
1
1
1
1
2
3
4
1
1
1
1
1
2
1
1
1
1
1
7
3
13
1
3
11
1
9
1
1
1
1
1
3
3
7
1
2
2
3
1
1
1
1
3
1
3
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
4
1
5
1
1
1
1
1
1
4
3
1
1
309
1
1
1
1
1
2
1
1
1
1
4
1
3
1
1
5
1
3
1
1
3
1
6
1
1
3
1
5
1
1
5
1
1
35
3
3
5
1
1
3
1
1
1
1
1
1
1
55
1
1
1
1
1
1
2
1
1
1
1
3
2
2
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
49
1
9
5
1
1
5
1
1
1
3
3
3
2
1
1
2
3
2
7
1
3
1
1
1
2
1
1
1
4
2
2
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
3
5
1
1
3
3
1
1
1
1
1
4
3
3
3
1
1
1
1
1
1
3
7
3
1
1
1
1
1
2
1
1
3
13
1
1
1
1
5
3
7
3
4
1
3
8
3
1
1
5
1
9
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
1
1
1
2
1
1
1
4
1
1
3
1
1
1
17
3
1
25
3
3
1
2
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
6
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
2
3
3
3
3
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
3
1
2
1
1
1
1
1
5
1
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
4
1
1
38
1
1
1
1
2
1
1
1
3
8
1
1
1
3
1
1
1
1
1
1
1
68
3
3
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
14
1
1
1
3
1
2
1
1
5
3
1
1
1
3
3
1
1
1
1
3
3
2
1
1
3
3
1
3
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
7
1
1
3
1
1
3
1
1
3
1
4
2
2
1
1
9
1
1
2
1
1
5
1
1
1
1
2
3
1
1
1
1
1
1
1
3
4
1
1
1
1
3
1
1
1
1
1
89
3
5
1
2
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
12
1
3
1
2
1
3
7
1
3
1
1
1
1
2
3
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
2
1
2
3
3
3
1
3
1
1
1
1
1
3
6
3
3
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
2
1
1
17
3
3
1
1
1
1
3
1
1
1
1
3
3
1
1
3
1
3
1
1
1
2
2
3
1
1
3
3
1
7
2
1
1
1
1
1
2
1
2
4
1
1
1
4
9
1
1
5
1
1
1
1
1
1
3
3
2
1
1
1
3
2
3
1
1
1
3
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
9
1
3
1
1
1
11
1
1
5
5
3
1
1
1
3
1
1
1
3
1
3
1
29
5
1
1
1
1
1
3
1
3
13
3
1
1
3
5
1
1
3
1
3
5
1
1
3
13
1
1
1
1
1
1
61
1
3
1
1
1
1
2
1
1
3
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
3
3
2
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
15
1
1
1
1
1
1
3
3
1
3
2
1
1
3
2
1
1
1
1
2
1
1
3
3
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
10
1
1
1
2
1
1
2
6
1
3
3
1
1
1
5
3
1
1
2
1
2
3
3
3
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
5
1
1
1
3
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
3
1
1
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
2
2
1
1
1
1
1
3
1
1
1
7
1
1
1
2
1
1
1
1
1
1
7
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
4
3
3
1
1
1
1
1
3
1
3
1
1
1
1
1
1
7
1
1
1
15
5
2
1
2
3
1
1
1
2
2
3
1
3
3
2
1
5
1
1
15
2
3
1
2
1
1
1
1
1
3
1
1
1
2
1
5
1
1
2
1
1
3
1
1
3
1
1
2
1
1
5
1
1
1
1
3
1
3
1
1
1
1
1
3
1
2
9
1
1
3
3
1
1
1
1
1
1
1
3
1
5
5
29
3
1
1
2
1
1
1
1
7
3
1
1
3
2
9
2
3
1
1
1
1
1
1
8
1
1
1
5
1
1
5
3
1
1
3
1
5
1
1
1
2
1
3
1
1
1
3
1
5
1
2
1
3
1
1
1
4
1
1
1
1
1
1
3
1
4
1
1
1
3
3
3
1
1
1
3
1
1
1
1
1
1
11
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
3
3
3
1
2
3
1
1
2
2
2
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
3
1
1
2
5
7
1
1
2
1
15
3
1
3
4
1
3
3
1
1
1
1
2
1
4
1
7
3
1
1
1
3
1
3
2
7
1
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
2
1
3
1
1
1
1
1
3
1
1
1
3
10
3
3
3
1
2
1
3
1
1
1
11
1
10
2
1
1
1
1
1
1
1
1
6
3
3
1
3
3
1
3
1
3
1
1
3
1
1
31
1
1
2
3
1
1
1
1
3
9
3
2
4
1
1
3
2
1
1
1
2
5
1
1
17
1
3
3
1
2
2
5
1
7
1
2
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
2
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
3
1
1
3
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
37
7
1
1
3
1
1
2
1
9
1
3
1
2
1
1
1
1
1
1
1
1
5
1
2
1
3
1
1
3
1
18
5
3
1
1
1
1
3
1
97
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
7
1
1
1
3
27
1
7
1
2
1
1
3
1
2
5
1
1
21
27
4
1
1
1
1
1
1
3
1
2
4
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
1
1
1
2
4
2
1
1
3
3
1
3
2
1
2
3
1
1
1
2
1
1
1
1
1
1
11
3
1
5
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
3
2
1
3
3
1
1
3
5
1
5
1
1
6
1
1
1
1
1
1
2
11
1
1
1
3
1
1
1
1
2
5
3
3
3
1
1
1
1
3
1
3
2
1
1
1
1
3
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
2
1
2
1
1
1
3
3
3
1
1
3
1
5
1
2
3
2
5
3
3
3
3
1
3
1
3
2
2
1
3
1
5
3
1
1
1
1
5
3
1
1
1
2
1
1
1
5
1
3
2
2
9
5
2
1
3
1
3
2
1
3
1
2
1
1
1
1
1
1
3
3
1
2
1
1
3
1
1
1
3
2
1
1
1
3
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
1
8
1
3
1
1
1
1
1
2
2
1
1
1
3
3
3
1
3
5
1
5
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
2
1
1
1
1
3
21
2
1
1
3
4
1
3
3
1
1
3
1
3
4
1
1
1
1
1
1
1
11
1
2
3
3
3
1
1
1
5
3
1
3
3
4
1
1
1
3
11
3
1
1
3
1
3
1
3
1
7
3
1
3
1
5
1
1
1
2
1
1
1
2
1
1
3
1
7
1
2
1
1
1
3
1
1
1
1
3
3
1
1
1
1
1
9
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
7
3
1
1
3
1
1
1
1
1
1
5
2
2
1
7
1
3
1
1
1
1
1
1
1
1
1
3
3
3
1
9
3
1
7
1
1
13
1
1
3
2
1
3
1
2
1
7
1
1
5
4
1
2
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
1
1
3
5
1
1
1
3
1
3
3
1
1
1
1
1
1
1
3
1
1
2
1
62
1
1
1
1
1
1
3
1
1
1
1
3
3
3
1
1
1
1
1
3
1
1
1
5
2
1
1
3
1
1
1
3
1
1
3
2
4
1
6
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
3
1
4
3
15
1
1
1
1
4
1
1
1
3
3
2
1
1
7
3
2
1
1
9
3
1
1
1
1
1
1
1
3
1
1
1
5
1
3
3
1
15
1
2
1
2
5
4
1
1
5
11
1
3
1
1
1
1
29
1
1
9
1
3
3
1
1
3
1
19
4
2
3
1
1
1
5
1
1
1
1
1
1
5
1
1
2
1
1
3
1
3
2
4
3
1
1
1
35
3
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
3
4
1
1
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
2
9
1
3
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
4
1
1
4
3
196
5
3
2
53
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
5
1
1
1
3
2
3
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
4
1
3
3
1
1
3
3
3
5
3
1
1
3
2
3
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
3
1
3
2
1
1
1
1
3
1
3
3
1
3
1
1
1
3
2
1
3
1
3
3
1
14
3
3
1
1
1
3
3
1
1
1
3
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
3
1
1
1
6
1
1
1
1
1
5
3
1
1
1
1
1
2
1
5
345
1
1
5
1
1
1
24
2
2
2
1
1
1
2
1
3
4
1
7
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
29
1
2
1
1
1
3
3
1
1
1
1
1
193
1
11
1
1
35
3
3
1
3
1
2
3
1
1
1
3
1
3
1
1
1
1
8
3
1
1
1
3
1
1
1
1
1
7
1
1
3
21
2
1
1
1
1
1
5
1
1
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
5
1
1
17
2
3
1
1
2
1
3
1
5
1
5
1
1
3
3
1
299
1
1
1
1
1
2
2
1
3
1
2
1
1
7
5
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
3
1
1
1
1
3
3
1
1
3
1
2
1
1
1
1
4
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
3
2
1
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
4
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
3
1
2
3
2
1
1
1
1
1
1
1
3
1
17
7
2
3
1
1
1
1
1
1
1
1
3
1
1
1
12
1
1
1
1
3
1
2
2
1
3
7
5
1
1
1
1
3
1
1
3
1
5
3
1
3
5
3
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
3
3
1
1
1
1
1
1
4
5
1
1
2
11
3
1
1
1
1
2
1
1
4
1
1
3
1
1
2
15
3
1
19
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
3
2
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
4
1
1
3
3
1
1
1
2
1
1
3
1
1
37
2
1
1
1
3
1
2
1
2
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
3
1
2
1
3
1
3
1
1
1
1
2
1
3
7
1
1
1
5
1
1
1
1
2
3
1
1
5
1
2
2
1
1
1
1
3
3
1
1
1
2
1
1
1
3
1
1
2
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
2
3
1
1
1
1
3
1
3
1
1
9
3
3
1
2
1
1
1
3
2
9
3
2
1
5
1
1
1
3
3
1
3
3
2
3
2
1
1
6
1
7
1
1
1
2
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
1
23
6
1
3
1
2
1
2
1
2
1
1
3
3
1
5
1
5
3
1
1
1
1
1
3
2
1
1
1
1
3
1
1
1
2
1
1
3
1
2
1
1
1
2
1
1
3
1
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
5
1
1
1
3
3
1
3
2
1
1
3
1
1
1
3
3
1
3
1
1
4
1
15
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
3
1
13
1
1
1
3
1
1
1
1
3
2
3
1
13
3
1
1
1
1
1
1
1
1
5
3
1
1
3
1
3
1
1
1
3
3
1
5
1
40
1
5
33
1
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
6
2
3
1
1
1
1
1
2
1
1
1
2
1
1
10
1
1
1
1
1
12
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
12
1
1
3
3
2
2
1
3
1
1
3
1
1
1
1
2
1
2
2
2
1
1
1
1
2
3
1
1
1
2
7
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
4
2
1
2
1
1
1
1
1
7
1
1
3
1
1
1
1
1
3
3
5
1
16
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
3
1
3
1
1
5
1
1
4
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
3
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
3
2
3
1
3
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
57
1
2
1
1
1
1
3
1
1
1
2
2
1
1
3
1
1
1
1
1
3
1
3
1
1
1
178
5
1
1
1
3
7
1
1
2
1
1
2
1
1
3
1
1
2
3
5
1
1
1
1
1
1
3
1
7
1
83
1
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
5
1
1
1
3
1
3
1
2
3
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
16
4
3
1
1
1
2
1
9
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
11
1
2
1
2
2
3
1
1
1
4
3
1
1
1
1
4
4
3
2
1
2
3
1
5
3
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
2
1
3
9
1
1
3
1
1
1
3
5
3
2
7
3
1
1
1
1
3
7
1
1
1
1
2
1
1
37
1
5
1
5
2
7
1
1
1
11
2
1
5
1
3
1
1
1
1
3
3
3
3
15
2
1
1
3
1
3
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
3
3
1
2
1
2
1
2
1
5
1
1
1
2
3
1
1
1
1
1
1
6
1
1
1
1
1
3
4
3
1
29
1
1
5
3
1
2
2
1
1
15
2
3
1
1
2
5
2
1
2
1
3
2
1
4
3
3
1
1
1
1
1
1
1
1
1
5
25
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
4
2
2
1
1
1
1
1
2
1
3
2
1
1
1
1
3
3
1
2
1
3
3
1
1
1
1
2
1
1
1
1
1
3
3
9
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
3
3
3
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
2
1
3
1
5
1
1
2
3
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
5
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
2
3
1
1
2
3
5
3
1
9
1
1
5
1
1
5
1
1
1
1
1
15
1
1
1
3
7
1
1
1
1
3
1
1
2
2
1
1
1
1
3
2
1
2
1
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
2
3
1
1
1
1
13
3
2
1
1
5
1
1
1
1
1
1
7
1
1
1
1
15
1
1
7
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
5
51
2
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
3
1
1
1
3
1
1
1
3
1
1
1
1
1
19
5
1
1
3
1
3
1
5
1
5
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
17
1
3
1
1
3
3
1
2
7
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
7
5
1
3
1
1
5
1
1
1
1
1
1
1
4
3
1
1
1
2
1
1
5
1
3
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
3
1
3
1
4
1
1
1
1
1
3
1
1
1
1
2
1
2
1
3
1
1
9
3
1
1
1
1
5
1
1
1
1
1
1
1
1
9
1
5
1
1
1
1
1
70
1
1
4
1
1
1
3
1
3
1
3
1
1
1
2
1
3
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
10
1
6
1
1
3
3
1
1
1
9
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
11
3
1
5
1
3
1
9
1
1
1
1
3
3
1
3
1
1
1
7
1
3
1
1
1
1
3
1
3
1
1
1
1
1
1
110
1
1
3
1
1
1
3
3
1
1
1
1
1
1
3
3
7
1
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
5
1
1
5
5
1
1
1
1
1
1
1
1
1
3
3
1
1
23
1
2
1
3
3
3
1
2
2
1
1
1
1
1
1
1
7
1
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1955
1
1
3
3
1
1
3
1
1
3
1
1
1
1
2
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
5
5
1
1
1
1
1
7
3
5
1
1
1
1
3
1
1
1
3
1
1
2
1
1
3
1
1
2
1
2
1
1
3
1
1
1
3
1
2
3
1
3
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
1
1
3
167
1
1
1
1
1
3
1
1
1
2
1
1
1
3
6
7
1
1
1
1
3
1
2
1
2
1
1
3
1
1
1
1
2
3
1
1
3
1
1
3
1
1
1
4
5
1
1
2
1
1
1
1
1
2
1
3
2
1
1
3
2
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
3
1
1
4
1
1
1
1
1
3
1
1
11
1
2
3
1
1
2
3
1
13
1
1
1
75
1
2
3
1
2
1
1
3
1
5
1
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
17
1
3
1
3
3
3
1
5
1
3
1
1
1
3
41
9
1
1
1
1
1
1
1
1
8
1
3
1
3
1
1
1
1
9
1
1
1
1
3
1
1
3
3
1
1
1
1
2
3
1
7
1
1
13
3
1
2
1
5
1
3
2
2
1
1
1
3
3
1
1
1
1
5
11
1
1
1
1
1
15
1
1
5
1
2
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
9
3
2
2
5
3
3
1
3
19
1
1
5
1
3
1
1
3
1
1
1
1
1
9
5
1
1
3
3
1
3
1
1
1
1
1
1
1
5
4
1
1
1
1
1
9
2
1
1
1
7
2
1
1
2
1
1
1
1
1
1
1
5
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
2
10
1
2
1
3
1
10
1
1
1
1
3
1
3
1
3
1
2
1
1
1
1
1
1
9
3
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
3
1
1
2
1
2
1
1
1
1
1
3
2
1
2
1
3
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
4
4
1
3
3
2
3
1
1
7
1
1
13
3
1
2
3
2
1
1
7
1
3
2
1
1
1
1
3
1
4
1
2
5
1
3
1
3
1
2
2
3
3
1
1
1
1
1
1
1
2
1
1
1
5
4
1
1
1
1
1
1
1
4
3
3
1
1
1
1
3
5
1
1
5
13
3
1
3
1
1
2
1
1
1
2
3
1
1
1
1
1
3
3
1
1
1
3
1
1
4
1
2
1
1
1
2
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
1
1
10
1
1
1
1
1
1
5
1
3
3
2
5
2
1
1
1
2
1
1
1
2
1
1
3
1
3
2
1
14
1
1
3
1
3
1
5
1
3
3
1
1
6
1
1
3
1
1
1
1
3
2
1
2
1
1
9
1
2
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
3
1
1
4
1
1
1
1
3
3
3
1
3
1
1
1
1
1
3
1
1
4
1
1
1
1
3
7
3
1
1
1
1
9
1
2
1
3
3
2
3
2
5
3
3
2
7
1
1
3
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
15
3
1
1
6
2
1
3
2
2
1
1
3
1
3
1
3
1
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
3
1
5
7
1
1
9
103
1
1
3
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
3
3
2
1
5
5
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
6
1
3
7
5
1
1
1
3
1
3
4
1
1
8
2
3
2
1
1
1
1
1
4
1
1
3
3
1
2
1
1
2
3
1
13
1
1
1
1
1
1
1
1
3
1
3
5
1
4
1
1
1
2
2
1
3
3
1
1
1
3
7
1
1
1
3
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
5
6
1
1
5
1
1
1
7
3
3
3
2
11
1
1
2
1
1
1
1
1
1
1
1
25
1
1
1
3
2
1
1
5
1
1
1
3
1
1
2
1
1
1
1
1
1
1
3
1
163
2
3
3
1
1
1
3
1
1
1
1
3
1
2
1
1
6
1
1
1
1
1
4
2
1
25
1
1
1
1
1
5
3
1
3
1
1
1
3
2
3
2
1
1
1
3
1
1
1
2
2
3
1
1
2
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
3
1
3
1
1
3
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
7
1
3
1
1
1
1
3
3
1
1
1
1
1
1
3
2
3
2
3
5
1
1
1
1
1
3
2
1
2
1
1
1
1
1
1
1
3
7
1
1
1
3
3
1
15
1
3
1
1
1
1
1
1
3
2
1
5
1
5
1
1
1
2
3
1
1
1
1
1
2
3
1
1
1
3
1
33
1
1
1
2
1
1
3
8
3
1
1
1
3
2
3
1
3
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
3
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
7
2
1
3
1
3
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
3
5
1
1
1
7
1
3
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
19
2
1
1
1
1
87
1
1
1
1
1
1
1
1
1
3
1
3
2
3
1
1
1
4
1
1
1
2
1
1
3
2
2
1
3
2
1
1
1
3
1
2
3
1
1
2
2
1
1
1
1
1
1
7
1
1
3
5
1
1
3
1
1
1
1
1
4
1
3
3
1
1
1
7
57
1
4
3
1
2
1
2
1
1
1
1
5
1
1
61
1
1
3
3
1
1
1
1
1
1
1
3
1
5
3
1
3
1
1
3
3
1
1
2
1
3
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
5
5
1
1
1
3
1
3
1
1
1
5
2
1
1
1
2
1
3
1
3
1
1
1
3
1
1
1
1
3
1
3
1
3
1
1
1
3
1
3
1
1
3
1
3
1
2
1
1
3
3
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
9
1
1
1
7
1
1
1
3
1
1
1
3
1
7
1
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
3
1
2
1
1
1
3
1
3
1
1
3
1
1
3
1
1
2
1
1
2
1
1
1
3
1
11
1
1
2
3
1
1
1
3
3
2
3
1
1
1
1
1
3
1
1
1
5
1
1
3
1
1
1
2
7
3
3
1
1
1
1
1
1
1
6
1
1
1
3
1
1
1
3
2
1
1
4
3
1
2
3
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
3
1
1
4
1
1
1
1
1
3
1
3
1
1
2
2
1
1
5
1
1
1
1
1
1
3
3
1
1
1
1
3
2
3
1
1
1
1
2
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
1
1
5
3
1
1
3
1
3
3
1
1
2
23
1
3
7
1
1
1
1
1
1
1
1
3
7
1
5
15
1
1
1
1
1
1
1
1
1
1
1
3
2
1
5
1
1
1
1
23
1
1
1
2
5
1
1
4
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
1
2
1
3
1
1
5
23
9
3
1
1
1
2
1
1
5
5
1
1
1
1
1
1
1
1
3
1
9
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
2
1
3
3
1
3
1
1
7
1
1
1
2
1
1
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
3
1
3
1
1
2
1
1
5
1
7
1
1
1
1
7
2
1
1
3
1
1
116
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
3
3
3
1
1
1
2
1
1
1
1
3
2
1
4
4
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
2
1
1
1
1
1
15
1
1
1
1
1
1
1
9
1
3
3
1
1
4
1
1
1
1
1
1
1
1
1
5
1
1
1
1
17
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
3
1
3
2
1
1
1
3
1
1
1
1
1
6
1
1
1
1
4
1
1
3
1
5
1
4
3
1
1
3
3
1
1
1
1
5
1
1
2
3
10
1
3
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
3
4
345
1
1
1
6
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
23
1
4
1
1
1
3
1
1
3
1
1
1
1
2
3
3
2
2
2
1
22
13
1
3
1
3
1
3
3
1
1
1
7
5
1
5
2
2
2
1
2
1
3
3
1
1
10
1
23
5
1
1
2
1
3
1
3
1
1
1
1
3
3
1
1
2
1
3
9
1
1
3
1
9
1
1
1
1
1
3
1
8
5
1
1
4
1
2
1
1
1
1
13
1
1
37
1
1
3
15
3
1
1
1
1
1
1
1
11
3715
2
1
3
1
1
1
1
1
2
1
5
1
1
1
5
1
2
1
2
1
3
1
1
2
2
19
1
3
1
5
2
1
1
1
3
1
3
3
1
7
2
1
1
1
1
3
1
1
1
3
1
3
1
1
1
1
1
1
1
1
3
18
3
1
1
1
1
3
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
1
3
1
3
1
3
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
3
6
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
4
2
1
1
2
1
3
7
1
1
2
1
1
1
3
2
1
3
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
1
3
3
6
1
5
3
1
1
1
1
1
1
1
3
1
1
1
1
2
11
1
3
1
1
1
77
1
7
5
2
1
1
1
1
3
15
1
2
1
1
3
1
1
2
3
1
1
1
3
3
1
4
1
2
1
1
2
1
1
3
1
1
1
1
1
3
2
1
1
3
2
1
1
1
1
2
2
1
2
1
1
2
1
1
1
2
3
1
7
1
2
1
2
3
1
1
3
3
2
1
1
3
1
1
1
3
3
9
1
5
3
1
1
1
2
4
1
1
3
4
1
1
5
3
3
1
3
3
3
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
5
3
5
1
4
1
3
3
4
1
2
1
1
1
1
1
3
1
5
1
1
3
1
1
1
3
2
1
1
2
4
1
1
3
1
1
2
1
9
1
1
1
1
1
1
1
1
2
1
1
9
1
3
3
3
3
6
3
1
5
3
1
1
3
1
3
1
1
1
1
1
3
1
3
5
5
1
1
1
1
3
3
1
4
95
1
1
1
1
1
1
1
1
4
1
1
3
1
3
35
1
1
1
13
3
1
1
1
2
1
1
1
3
3
3
1
1
1
1
1
1
1
3
1
1
1
2
1
1
3
1
1
4
3
3
13
1
3
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
5
5
1
1
1
1
1
1
1
1
1
2
2
1
1
3
1
2
1
1
1
3
1
1
3
1
1
2
13
1
1
1
1
1
1
1
1
1
1
3
3
1
1
5
2
3
1
1
2
1
1
1
2
1
1
1
1
4
1
2
1
1
3
1
1
2
3
1
1
1
3
3
1
2
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
1
1
1
2
5
1
2
1
1
1
2
1
2
3
1
2
1
3
1
1
3
1
1
1
3
1
1
3
5
1
1
3
1
1
4
1
16
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
2
3
5
3
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
1
1
1
5
3
1
1
1
1
3
1
3
5
2
7
1
5
1
1
1
1
1
13
1
1
1
2
3
2
1
9
1
1
4
5
3
47
1
3
3
21
5
1
1
1
1
7
1
1
2
3
1
1
5
1
1
4
3
3
3
3
4
3
3
1
2
1
2
3
1
1
1
2
3
1
3
1
1
1
3
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
3
1
3
3
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
1
1
1
3
3
3
2
1
1
1
1
3
1
1
1
27
1
1
2
1
3
1
1
1
1
3
1
1
1
1
5
3
3
1
1
3
7
1
1
1
1
1
1
1
3
1
1
3
3
1
4
3
1
3
1
3
2
3
3
1
3
1
1
1
1
1
1
3
3
1
1
1
13
1
3
1
2
1
3
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
222
1
2
3
1
3
1
1
1
2
1
3
1
1
1
1
1
1
1
1
7
2
5
1
1
3
1
1
5
1
1
1
2
1
1
1
3
1
44
15
1
3
1
2
3
9
15
1
1
1
3
5
1
4
1
1
1
3
3
3
2
1
3
12
1
3
51
21
3
2
1
3
1
3
6
1
1
1
2
1
1
5
1
1
3
1
5
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
5
1
1
1
1
1
1
3
3
24
1
1
3
3
1
3
1
1
3
3
3
5
1
2
2
6
1
1
1
1
1
1
3
2
1
2
3
3
1
1
75
1
1
3
3
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
3
2
1
1
4
1
1
1
1
2
1
2
1
8
3
2
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
7
2
1
1
3
1
3
1
1
1
1
3
1
1
2
1
3
1
4
1
1
1
2
2
1
1
3
5
130
1
1
3
7
3
1
1
1
1
5
1
1
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
70
1
1
2
1
1
1
1
1
1
1
3
3
1
1
3
2
1
2
1
1
3
89
1
1
1
1
1
3
1
1
3
5
1
1
2
1
3
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
6
1
1
1
1
1
1
1
1
1
7
1
1
3
1
1
1
1
5
1
3
1
1
1
1
1
1
3
3
1
5
1
3
1
3
3
1
1
1
1
1
3
1
1
3
1
2
3
1
1
1
1
1
1
2
1
1
1
3
3
1
1
3
1
3
4
1
3
1
1
1
1
5
2
1
3
1
1
3
3
1
3
1
2
1
5
1
1
1
5
1
1
11
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
2
3
1
3
1
1
6
1
3
1
2
5
3
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
3
1
1
1
118
7
2
1
1
1
1
3
4
1
1
1
1
1
5
2
2
2
4
3
1
1
2
1
1
6
1
1
1
1
1
1
1
7
1
1
1
7
1
1
1
5
1
3
1
1
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
1
2
5
3
1
2
1
1
1
2
3
3
1
1
5
1
1
252
5
1
5
1
1
8
1
1
1
1
2
2
1
1
2
1
1
1
23
1
1
2
1
1
1
1
3
2
1
4
1
2
1
1
1
12
1
3
1
1
2
1
1
1
1
1
1
1
1
10
1
5
1
1
6
1
3
1
1
1
1
1
1
1
2
1
3
3
1
1
2
1
1
5
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
7
1
2
3
1
1
3
9
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
3
1
3
1
1
2
3
1
1
1
1
1
3
1
1
1
1
3
1
1
3
2
2
2
2
1
3
1
2
1
5
9
1
1
1
1
2
1
1
1
1
1
2
5
1
1
3
1
3
1
1
5
1
4
2
1
1
1
1
3
1
1
1
1
3
5
1
1
1
5
11
1
1
1
2
1
3
1
2
5
1
2
5
1
3
4
1
3
1
25
1
1
3
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
1
1
1
13
1
1
1
1
6
1
1
1
3
3
1
1
3
1
1
2
1
3
1
1
1
1
3
1
3
1
1
1
49
1
1
1
2
3
3
5
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
19
1
3
1
5
1
1
11
7
1
3
1
1
1
1
1
1
1
1
5
1
3
1
6
1
3
7
1
2
1
1
1
13
3
1
1
1
2
2
1
1
1
1
3
1
2
1
1
1
3
1
3
5
1
5
2
5
2
1
2
1
1
2
2
5
1
2
3
1
1
1
1
1
3
4
3
1
3
1
3
1
1
1
1
1
5
2
1
1
4
1
1
1
1
1
143
5
1
2
1
3
1
3
1
1
1
2
1
1
5
1
1
102
1
1
2
1
5
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
3
1
1
1
3
2
1
1
1
1
2
3
2
1
4
2
2
7
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
3
1
1
1
7
1
1
1
1
1
1
2
3
2
1
1
2
1
1
1
1
5
3
2
1
2
3
3
2
1
2
3
2
1
1
1
3
3
1
1
1
1
2
1
1
2
1
1
9
1
7
1
1
1
1
3
3
1
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
3
1
1
1
1
1
3
1
5
1
1
1
1
1
3
2
1
2
1
1
1
1
1
7
1
1
2
1
1
1
1
1
1
2
1
1
2
3
2
1
3
1
3
2
3
3
1
2
3
2
1
1
1
1
5
1
7
1
3
1
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
9
2
1
5
3
1
3
1
2
3
1
1
1
14
1
3
1
1
1
1
1
1
2
3
1
1
9
5
3
2
1
1
19
1
1
1
1
1
3
1
2
1
1
1
1
3
1
1
1
1
3
3
1
3
15
1
1
1
3
3
4
1
1
1
2
1
1
1
8
3
1
1
1
4
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
2
10
2
1
5
3
30
1
1
1
3
1
1
1
7
1
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
3
1
2
1
1
1
1
2
1
2
2
1
1
1
1
3
1
3
3
1
1
1
7
1
1
1
3
2
3
1
9
1
3
1
3
1
1
3
1
1
2
1
1
1
1
13
1
3
1
1
2
1
3
2
3
1
1
1
29
2
1
3
1
3
1
1
1
1
3
3
1
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
3
3
5
3
1
3
4
1
3
1
1
1
1
1
1
1
1
3
3
1
1
4
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
2
1
3
3
1
1
1
3
1
1
3
1
1
3
3
1
1
1
1
2
1
5
1
1
2
1
1
1
1
3
1
1
1
3
1
3
1
1
3
1
1
1
1
2
1
3
1
1
2
3
1
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
1
1
1
1
1
7
3
3
1
1
1
2
1
1
1
3
3
1
1
1
1
1
2
1
1
3
2
1
3
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
2
1
1
3
1
3
1
1
1
1
1
3
4
7
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
3
1
1
1
1
1
3
1
2
3
1
2
7
1
1
1
1
1
1
2
1
1
1
1
3
1
1
4
1
1
1
1
1
1
3
5
2
1
1
1
2
3
2
1
3
3
1
1
3
1
40
2
2
1
2
1
3
2
1
1
1
1
1
3
4
1
1
3
1
1
1
1
5
1
1
1
1
2
1
3
1
5
2
1
1
1
1
139
1
1
1
1
7
1
1
3
1
1
2
1
1
1
1
3
1
1
1
1
7
3
1
1
1
1
1
1
7
1
1
1
4
1
3
131
1
1
1
3
1
1
1
1
1
3
1
7
1
1
1
1
2
1
1
1
1
1
5
5
3
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
3
137
3
1
3
6
1
2
1
1
1
3
1
1
5
1
1
1
3
2
1
1
1
1
2
1
4
1
1
1
3
3
1
3
1
1
1
1
1
3
1
1
1
1
4
1
2
1
1
1
2
2
1
1
5
5
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
2
1
1
3
1
1
1
1
2
1
1
1
2
5
1
2
3
1
1
1
1
1
3
3
2
2
1
3
3
1
2
1
1
1
3
1
2
1
5
1
1
4
1
1132
1
1
1
1
3
1
1
1
5
1
1
1
1
21
1
1
1
1
1
1
3
3
1
1
1
2
13
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
13
1
1
1
3
1
1
1
1
3
5
1
1
1
87
2
1
1
1
1
3
2
3
1
11
1
3
1
2
1
1
2
2
5
1
3
1
1
1
1
1
1
3
7
1
1
1
1
2
1
3
4
1
1
3
3
11
1
9
3
1
1
1
1
3
1
5
3
1
17
1
1
1
1
2
1
1
1
1
1
1
2
2
23
1
1
1
1
3
3
1
1
21
6
1
1
1
1
1
1
3
1
3
2
1
3
3
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
2
3
2
1
1
5
1
1
4
1
1
3
1
41
1
1
1
1
1
5
3
1
1
3
1
1
1
3
2
1
6
3
1
3
1
2
1
1
1
1
1
3
3
2
3
3
2
1
1
1
3
1
5
1
1
2
1
1
3
1
1
2
1
2
1
1
1
3
1
3
3
2
1
1
2
1
1
1
1
1
3
5
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
3
9
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
2
1
1
1
1
2
1
2
2
1
1
1
5
1
1
1
1
9
2
1
1
3
3
1
2
3
3
3
1
1
1
8
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
13
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
11
1
1
1
9
1
1
3
3
10
1
1
3
1
1
1
1
1
1
3
1
1
1
1
1
6
2
1
1
1
1
3
3
1
1
3
3
1
1
1
3
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
6
1
1
3
1
3251
2
1
3
3
1
1
1
1
1
1
2
2
2
1
3
1
1
1
1
1
1
1
14
3
1
2
3
1
1
2
3
2
1
2
2
3
1
1
1
1
3
6
1
1
1
2
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
8
2
1
1
1
1
3
1
3
83
3
1
1
1
4
3
1
1
1
2
1
2
1
1
3
3
3
7
1
1
1
1
6
1
2
1
2
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
4
2
3
3
3
1
1
1
4
1
1
3
1
1
2
1
1
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
3
3
2
1
1
3
1
1
1
1
393
3
3
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
7
1
1
3
1
1
35
1
2
3
1
1
1
3
1
5
1
1
1
7
3
1
2
1
3
1
1
1
1
1
1
1
1
1
3
3
1
1
1
1
1
2
1
3
1
326
1
1
3
2
1
1
1
3
1
1
1
1
1
4
5
3
1
1
2
1
1
2
1
1
3
1
1
1
1
3
1
1
2
2
1
1
2
16
1
2
1
1
3
1
1
1
1
4
1
2
1
1
1
1
3
3
1
3
1
1
1
3
1
5
1
1
3
2
1
1
3
2
16
1
3
2
1
1
1
2
1
2
1
1
1
1
5
1
2
3
1
1
1
1
1
1
2
11
1
1
1
3
1
2
1
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
1
2
1
1
1
1
3
3
3
1
1
7
2
1
3
1
1
3
1
1
5
7
1
1
3
2
3
1
2
1
1
3
1
1
1
1
1
5
1
1
1
2
1
1
5
1
1
5
1
1
1
1
31
1
1
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
1
1
3
1
1
3
1
1
4
1
1
1
6
1
3
1
3
1
1
1
2
3
1
1
3
1
1
3
1
1
3
1
1
1
1
5
1
3
3
1
1
1
1
3
1
3
2
1
1
1
1
1
1
2
1
1
5
2
1
1
1
1
1
1
1
1
3
1
3
3
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
10
3
3
1
1
3
1
3
1
1
1
1
1
1
1
1
1
2
1
72
1
2
1
1
1
5
1
1
1
1
1
2
1
3
1
1
1
3
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
2
1
1
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
1
3
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
1
2
5
1
1
3
1
1
1
1
1
2
3
1
1
2
1
1
4
1
1
1
5
1
1
1
3
1
1
2
1
1
1
1
1
1
179
1
1
1
1
2
1
1
1
1
7
5
1
1
1
1
1
1
3
1
1
1
1
1
2
3
1
1
5
1
1
1
1
1
1
3
1
2
3
3
1
2
1
1
1
1
4
1
1
1
2
1
4
3
1
2
1
1
1
1
3
1
19
3
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
2
1
1
1
6
1
3
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
7
10
3
3
1
1
5
1
1
5
1
3
3
14
3
1
1
1
1
1
1
1
3
11
1
3
1
2
3
1
2
1
1
1
1
1
1
1
1
80
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
1
1
2
1
5
3
1
1
2
1
1
3
1
1
1
3
1
1
5
1
3
1
1
1
1
19
1
1
1
1
1
1
1
1
2
5
2
2
1
1
1
2
1
1
1
5
1
5
3
1
1
2
6
3
1
1
7
1
2
7
1
1
1
1
1
3
2
2
1
1
1
1
1
1
3
3
1
1
3
1
5
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
9
1
1
2
2
1
5
1
1
1
2
2
1
3
2
3
1
3
1
4
3
1
3
1
3
2
4
1
1
1
1
1
3
6
1
3
1
1
1
1
1
2
2
1
3
1
1
1
1
1
9
1
3
1
45
1
3
3
1
1
1
2
1
25
1
1
5
1
2
1
1
2
1
1
1
6
2
1
1
2
8
1
1
7
9
1
2
1
1
1
1
1
1
2
1
1
1
3
3
3
1
1
3
1
1
3
1
1
2
1
3
1
59
1
3
3
1
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
3
10
1
3
1
7
2
3
363
1
1
1
1
1
1
1
1
1
1
4
1
35
1
1
2
3
3
1
1
1
1
3
3
1
1
1
1
1
1
2
1
5
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
2
3
1
1
1
1
1
2
1
1
1
3
1
2
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
3
3
1
1
5
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
1
1
1
3
1
1
25
1
1
1
2
3
2
2
2
1
1
1
1
1
3
1
1
1
1
1
1
1
5
3
1
3
1
1
1
2
5
1
1
1
1
3
1
1
1
4
1
1
1
3
3
1
1
1
1
1
1
3
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
5
3
1
3
1
3
1
3
1
3
2
1
1
3
1
1
1
1
3
3
1
3
3
1
1
3
2
3
3
2
1
3
1
1
2
3
1
3
2
1
1
1
1
3
1
5
1
1
1
11
1
1
12
5
2
1
1
1
2
2
3
3
1
1
5
1
1
1
1
1
1
1
1
9
1
1
1
2
2
1
1
1
1
1
2
1
4
1
1
1
1
1
9
1
3
1
1
3
1
5
3
1
1
2
3
1
1
1
1
3
2
1
3
3
1
1
2
1
1
1
1
1
3
1
1
63
1
1
1
16
1
1
3
1
1
1
1
1
1
1
3
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
1
3
1
2
1
3
1
1
1
1
3
1
3
3
3
1
2
1
3
1
6
1
1
1
3
1
3
3
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
7
3
3
1
2
3
1
3
1
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
7
5
2
1
3
1
1
7
3
1
3
4
3
1
7
3
1
1
1
1
1
1
1
1
1
1
1
3
11
3
1
1
3
1
1
1
3
1
1
1
1
1
2
3
2
1
1
3
2
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
5
1
3
1
3
1
20
2
2
1
1
1
3
2
1
1
1
1
11
1
1
1
6
1
1
7
2
1
5
1
9
1
2
1
19
1
3
1
1
1
1
3
2
17
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
24
1
1
1
1
2
1
4
1
1
2
6
1
2
3
1
1
1
1
3
5
1
1
1
1
3
1
6
5
5
1
1
18
1
1
1
3
1
1
2
1
1
1
2
3
1
1
3
1
3
1
1
1
1
2
1
1
1
1
1
1
3
2
5
3
1
3
1
1
2
3
1
1
1
1
1
1
3
3
3
1
2
1
1
3
1
1
1
2
1
1
1
1
1
3
13
1
1
1
1
2
2
1
1
1
1
1
1
1
2
3
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
3
3
51
9
3
1
1
1
2
1
1
3
1
5
1
1
2
2
1
1
1
2
3
1
3
1
1
1
3
1
1
2
3
1
1
3
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
14
1
2
1
1
2
3
1
2
1
1
1
1
1
1
1
1
1
1
6
9
1
3
1
1
1
1
3
1
2
1
1
1
1
1
3
1
3
1
9
1
7
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
1
13
2
1
3
1
1
1
1
1
11
3
1
2
3
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
3
3
3
3
1
1
1
1
1
15
1
1
3
3
1
1
1
1
1
1
1
3
1
9
2
5
1
1
3
1
1
1
3
3
1
1
1
1
1
5
1
41
1
1
1
1
1
1
1
1
31
1
1
1
2
1
4
1
1
2
1
7
1
1
1
1
3
5
1
3
1
5
1
1
1
1
3
1
1
1
2
1
1
3
1
1
1
21
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
3
3
3
3
1
3
3
3
1
1
1
1
3
1
1
7
3
2
1
1
3
2
17
1
1
3
1
43
1
3
2
2
1
1
1
1
1
13
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
3
1
3
1
2
1
5
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
8
1
1
1
5
5
1
1
1
1
1
7
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
3
1
3
21
1
1
1
1
2
1
1
3
1
1
1
5
3
1
2
1
2
1
1
1
1
11
3
1
1
2
1
1
1
2
1
3
2
1
1
5
1
3
1
3
1
1
1
1
1
1
1
1
1
15
3
1
1
1
3
1
2
1
1
17
1
1
1
1
1
1
1
2
1
7
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
4
2
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
1
1
16
1
1
3
1
1
2
1
3
2
1
3
1
1
1
3
1
3
1
1
1
1
5
3
2
7
2
7
1
1
4
1
3
3
1
1
1
1
2
1
2
1
1
1
1
1
1
3
5
1
1
1
3
3
3
1
1
3
1
3
1
5
1
1
1
1
2
1
1
1
1
1
1
3
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
2
1
2
1
1
3
1
1
2
1
1
5
1
1
1
1
1
1
1
2
3
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
9
1
1
2
2
1
3
2
3
1
1
1
1
1
1
1
1
1
2
2
7
1
1
1
1
5
3
1
2
1
2
2
1
2
1
1
37
1
1
1
2
1
1
1
1
1
1
4
3
2
3
3
3
1
1
1
1
3
3
1
3
3
1
1
1
5
2
1
3
1
1
1
1
1
1
1
3
7
1
1
1
1
2
3
1
1
1
1
3
1
4
1
1
5
1
1
1
1
1
3
1
1
1
1
3
1
1
3
3
3
1
3
1
1
3
1
1
1
1
3
2
3
1
2
1
1
1
1
3
1
1
1
3
1
2
1
3
1
6
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
3
1
1
4
1
1
3
1
1
1
1
1
1
1
3
4
3
1
4
2
3
1
13
1
1
3
3
1
1
1
1
2
1
122
1
1
1
1
1
4
1
1
3
1
1
1
3
5
2
1
1
3
1
1
1
1
1
1
1
1
1
1
5
2
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
3
3
1
3
4
3
1
3
3
1
3
1
3
2
5
1
1
1
1
1
2
1
1
1
1
5
3
1
1
3
1
3
1
3
1
2
1
3
2
1
1
1
1
1
3
1
1
2
1
1
1
3
1
3
3
1
1
2
10
1
1
3
1
9
1
3
4
1
3
1
1
1
1
1
3
1
2
2
7
3
1
1
2
1
1
1
1
2
3
1
1
5
1
3
1
1
3
1
7
1
1
3
1
1
34
1
3
3
2
1
1
2
1
2
1
1
1
3
3
1
1
2
4
1
1
1
7
1
3
3
1
1
1
2
3
1
1
3
3
12
1
3
1
1
2
1
1
1
3
1
1
1
2
1
3
1
1
2
1
3
1
1
8
1
1
1
1
1
3
3
1
3
1
3
3
1
1
1
5
1
3
1
1
1
2
1
3
1
1
1
3
3
3
1
1
1
1
19
41
2
3
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
3
1
3
3
1
2
13
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
11
1
3
1
5
5
1
1
1
5
1
3
9
3
1
2
3
1
3
3
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
85
1
1
1
3
1
1
1
1
1
15
7
1
1
1
1
2
1
5
9
1
1
1
1
1
1
1
1
3
2
3
3
1
2
1
3
1
1
1
1
1
5
1
1
1
3
1
1
1
1
1
5
3
1
1
1
1
3
1
1
1
1
2
1
7
2
1
1
1
1
3
1
1
1
1
3
3
1
2
1
1
15
1
1
1
1
3
3
3
1
1
3
1
1
5
1
2
3
3
1
1
1
1
1
1
3
3
16
7
1
2
1
3
1
1
5
1
1
3
1
1
31
1
1
1
1
2
1
3
1
1
1
1
1
4
1
2
1
3
1
1
3
5
5
1
1
1
1
1
1
1
1
1
2
2
5
1
1
1
1
1
1
9
3
1
1
1
1
1
1
5
1
1
1
6
1
1
1
1
1
4
1
1
7
1
1
1
3
1
3
1
5
1
1
1
3
1
1
3
1
1
1
2
1
1
1
1
5
3
1
1
4
5
1
1
1
2
1
2
1
1
1
3
1
1
1
1
3
1
1
1
1
5
1
1
1
1
5
1
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
3
1
3
1
1
1
1
1
3
1
1
1
2
2
1
2
1
2
1
1
5
2
2
3
1
1
1
1
2
1
1
2
1
1
1
3
2
1
1
3
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
5
3
3
2
2
1
1
3
1
1
2
1
1
1
1
3
1
1
1
2
1
7
3
1
1
7
3
1
1
5
1
1
3
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
5
1
2
1
1
1
1
1
24
3
1
7
31
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
16
1
3
1
1
1
3
1
1
2
3
7
1
1
3
1
1
11
3
3
1
2
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
4
1
3
6
1
3
1
1
2
1
3
5
1
3
1
4
1
1
3
1
1
3
1
6
1
3
1
1
1
1
1
1
3
1
1
1
2
1
3
1
2
1
1
1
17
1
1
3
1
1
5
1
3
1
1
1
1
11
1
1
1
1
3
1
1
1
1
1
3
1
1
35
5
2
1
3
1
1
1
1
1
1
3
1
3
1
3
1
1
1
1
1
1
1
3
1
1
19
1
3
2
1
1
2
6
3
1
1
2
1
1
4
1
1
6
1
1
13
1
1
1
1
1
1
1
3
9
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
9
1
1
1
1
3
1
1
1
2
1
1
1
4
2
1
1
1
1
1
1
13
1
1
3
1
1
1
2
1
1
1
1
5
1
1
1
1
5
1
63
1
1
1
1
3
1
1
1
7
1
3
1
1
1
1
1
1
5
2
1
3
1
3
1
4
3
3
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
2
2
1
3
1
1
22
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
3
1
3
1
1
1
1
1
1
2
1
1
33
1
2
1
1
4
1
3
1
1
1
1
1
1
3
3
1
1
1
4
1
1
3
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
2
1
1
1
4
1
3
3
1
1
3
1
7
2
1
1
1
23
1
3
1
1
3
1
3
1
2
1
5
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
5
1
1
1
7
1
3
3
1
1
1
2
2
1
1
3
3
2
1
1
1
5
1
1
5
11
3
1
1
1
13
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
5
1
2
1
1
1
1
1
1
1
1
5
1
3
2
1
1
10
1
3
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
3
1
2
1
1
1
8
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
2
2
1
1
1
3
9
3
1
1
1
1
1
1
1
2
2
1
1
2
3
1
3
1
1
1
1
3
1
3
2
1
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
4
1
2
1
5
1
2
1
3
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
3
5
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
7
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
5
1
2
1
1
1
1
1
1
2
1
1
5
2
2
1
3
3
1
1
1
1
3
1
1
2
1
1
3
5
1
2
2
2
1
1
1
1
1
15
2
69
1
1
3
1
1
1
1
1
1
3
1
1
1
8
1
1
3
1
2
1
1
3
1
5
1
2
1
1
1
1
1
2
3
3
1
1
1
1
3
1
1
1
3
5
4
1
1
1
2
1
1
3
1
2
3
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
1
1
27
1
1
9
1
1
1
5
1
39
1
2
1
1
2
1
1
4
3
1
1
4
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
14
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
3
1
2
2
1
2
1
7
5
3
1
1
1
1
3
8
1
1
1
1
1
1
1
3
1
65
1
2
3
1
3
1
2
1
1
3
3
1
1
29
1
3
3
27
21
1
1
2
1
1
2
1
1
1
3
2
3
1
1
1
1
1
1
2
3
1
2
3
3
8
1
1
1
1
1
1
3
2
1
1
2
1
3
1
1
1
3
1
1
1
1
1
1
1
1
3
11
1
3
1
1
2
4
2
1
1
1
1
2
2
1
1
1
3
1
1
3
2
1
1
3
1
1
1
1
1
1
5
7
3
3
1
1
3
1
3
1
1
3
2
5
4
1
1
1
1
1
3
2
2
3
1
1
16
1
1
19
1
1
2
3
1
1
1
3
1
5
7
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
8
2
3
1
1
5
1
3
1
9
1
1
1
1
1
1
1
1
3
2
9
11
1
1
3
1
1
1
1
1
1
2
3
3
1
5
1
1
1
1
2
3
2
1
2
1
1
1
3
1
1
1
1
1
3
2
3
1
1
11
1
1
2
2
1
1
3
2
1
1
1
1
1
1
1
9
3
1
3
2
1
3
1
1
5
3
1
3
1
1
1
1
1
3
1
1
1
1
1
3
1
3
1
1
2
1
2
25
1
1
1
5
1
2
2
3
1
1
1
1
1
3
5
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
5
5
1
5
2
22
5
1
1
1
1
1
1
5
1
1
1
1
1
3
7
1
2
1
1
3
3
1
1
1
1
1
6
1
1
3
2
1
3
2
3
1
3
1
3
5
5
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
1
5
1
3
3
1
1
1
2
1
1
1
7
1
2
1
3
1
1
1
1
3
3
1
3
3
3
1
1
1
1
2
3
1
1
3
3
1
1
1
1
2
1
1
3
1
2
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
5
1
3
1
1
1
1
1
1
3
1
30
1
3
1
1
1
67
3
4
1
1
1
7
1
1
1
1
1
9
1
1
1
8
1
1
1
1
3
1
5
1
1
2
3
5
1
3
1
1
5
1
2
9
1
3
1
1
1
1
1
1
3
1
1
3
3
1
1
1
3
1
3
1
81
4
1
3
23
1
1
3
3
3
2
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
1
1
1
1
7
1
1
3
1
1
1
1
1
1
3
3
3
1
3
2
2
3
1
3
8
1
3
1
1
3
1
2
1
1
1
1
3
3
5
1
3
3
1
1
7
1
1
2
1
1
3
3
1
12
1
1
1
1
1
3
5
1
1
3
1
1
3
1
1
1
1
3
1
1
1
3
1
3
1
1
1
2
1
1
3
1
4
1
3
1
4
1
1
1
1
1
1
2
3
2
1
1
1
1
1
3
3
1
1
2
1
1
2132
1
1
1
2
3
1
31
1
1
1
2
1
1
3
1
3
3
1
1
1
1
1
1
1
13
3
5
1
1
1
1
12
1
3
2
2
5
2
1
1
1
1
1
13
1
11
1
1
2
1
3
4
7
1
1
3
1
3
1
5
1
1
1
1
3
1
5
1
1
1
2
2
1
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
3
5
1
1
1
1
5
1
1
2
1
1
3
3
3
1
1
2
1
2
3
1
1
1
1
2
1
2
1
3
1
4
1
1
1
1
1
1
1
3
1
1
1
5
3
2
1
1
3
1
1
3
1
1
1
1
1
3
1
3
3
1
1
1
1
2
1
2
1
1
3
1
2
1
5
1
1
1
1
1
1
3
9
3
1
2
1
1
1
1
1
4
1
1
1
1
1
3
1
1
1
1
1
1
1
3
3
1
1
3
1
3
6
1
1
1
1
1
3
3
3
1
2
1
1
1
1
1
1
1
1
16
1
1
3
1
1
1
3
1
1
5
1
1
1
1
1
1
10
1
1
1
1
2
1
1
1
1
1
1
3
1
1
3
1
1
1
7
2
1
3
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
71
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
2
1
2
1
1
1
1
3
1
1
1
3
5
1
11
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
3
3
1
1
1
2
3
3
1
1
1
1
1
1
1
3
1
3
1
1
3
1
1
1
1
7
1
3
4
2
5
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
6
5
1
1
1
2
1
1
1
2
1
1
13
1
1
5
2
1
1
1
1
5
7
1
1
1
3
1
2
1
1
1
6
1
3
1
1
1
3
1
3
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
3
2
5
1
3
1
3
3
1
3
2
1
1
3
1
1
1
1
1
4
6
5
1
15
1
1
1
9
1
1
3
1
3
1
5
1
1
3
1
1
3
1
5
1
1
1
3
1
1
5
3
1
3
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
7
1
1
1
2
1
1
1
2
3
1
5
2
1
1
1
1
1
2
1
1
1
1
3
1
2
3
1
1
34
1
1
1
3
1
1
11
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
3
3
7
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
3
1
5
1
1
2
1
13
11
1
1
1
1
3
1
1
1
11
1
2
1
1
5
1
3
1
1
2
3
1
3
2
2
1
9
1
1
1
3
1
1
3
1
1
1
3
1
1
1
1
3
1
1
1
3
3
1
1
1
1
2
2
2
1
1
1
3
1
1
3
1
1
3
1
7
1
3
1
1
4
2
1
1
6
1
3
3
1
3
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
3
1
4
3
3
1
1
3
1
1
1
3
3
1
3
1
1
1
2
2
1
2
2
1
1
9
1
3
1
3
3
1
3
1
1
1
2
17
3
3
11
1
1
2
1
2
3
1
1
2
2
1
9
2
10441
2
3
1
1
1
3
1
1
2
1
5
1
1
3
9
1
1
3
1
2
2
1
3
1
3
2
3
1
1
1
4
1
1
1
1
3
1
1
1
1
1
2
3
1
2
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
1
3
1
1
15
1
3
1
1
11
5
1
2
1
1
2
1
3
1
3
1
1
1
1
3
1
1
1
1
2
2
3
1
1
2
1
1
1
1
3
1
1
4
2
1
3
3
3
1
9
1
2
1
1
3
1
1
1
2
1
1
3
1
5
1
1
1
1
1
3
1
4
14
1
2
1
5
1
3
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
19
1
1
1
1
2
3
8
1
1
3
1
1
1
1
1
1
2
1
1
3
1
1
3
1
5
1
3
1
1
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
27
1
1
2
1
1
2
1
3
3
1
1
1
1
1
1
3
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
5
1
2
1
1
1
1
3
2
1
1
2
1
1
2
3
1
1
1
1
1
5
1
1
3
3
3
1
3
3
3
1
1
1
2
1
3
1
1
1
5
3
3
1
3
1
1
1
2
5
3
3
2
1
2
3
1
1
2
1
1
6
5
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
3
3
3
3
3
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
4
1
3
1
2
1
1
1
3
3
3
1
1
1
1
1
1
1
1
2
3
2
1
3
1
9
1
1
3
3
2
1
1
1
3
3
2
7
1
1
1
1
1
3
3
1
5
3
1
1
1
1
1
1
5
5
1
1
1
3
2
1
1
1
3
5
1
1
6
6
7
3
1
1
1
1
1
3
1
1
2
3
1
1
1
4
1
25
1
1
3
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
6
1
3
1
1
1
1
3
1
1
1
3
3
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
3
22
1
3
1
3
3
27
1
1
1
2
1
1
1
1
2
1
1
2
2
3
1
1
1
1
1
3
1
2
1
1
3
3
2
1
1
9
1
1
5
1
3
1
1
1
1
1
1
9
1
1
1
1
1
3
1
6
3
3
2
1
2
5
1
1
5
16
1
5
1
3
1
1
3
3
1
1
1
1
1
1
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
2
3
1
1
6
2
1
1
5
1
1
1
1
1
1
1
2
3
3
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
8
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
69
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
3
1
2
1
4
3
1
3
1
3
1
3
1
3
1
1
1
5
1
3
1
2
1
2
1
1
1
3
2
2
1
1
8
3
1
4
3
1
1
3
1
1
1
2
1
1
1
3
1
1
1
5
3
13
1
3
2
5
2
1
1
1
1
1
3
1
1
1
1
1
5
3
3
3
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
4
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
3
1
3
5
13
3
1
3
1
1
3
1
1
1
3
3
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
3
3
3
1
1
3
1
1
3
2
1
1
3
1
1
1
1
3
1
2
3
1
1
1
1
1
1
1
1
3
1
1
3
2
1
1
1
1
1
1
1
1
3
8
1
1
1
2
2
1
3
1
1
1
1
3
1
1
1
3
1
9
1
1
1
1
1
1
5
1
3
1
5
1
1
73
1
1
1
1
1
9
1
2
1
1
1
2
15
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
23
2
1
1
1
1
1
1
1
9
3
1
3
1
1
3
1
3
1
1
1
1
1
2
2
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
3
1
3
18
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
3
1
2
1
3
2
1
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
1
1
4
1
1
1
9
1
3
3
1
1
1
1
1
1
3
1
1
2
1
1
1
1
2
2
1
1
1
7
1
1
1
1
1
3
1
1
1
3
2
1
2
3
7
1
1
1
3
1
1
1
1
1
1
1
15
1
1
1
9
1
15
1
3
1
1
1
1
3
2
1
6
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
2
1
1
1
1
3
1
1
1
3
1
1
5
1
1
4
1
2
1
3
1
1
2
1
1
1
1
1
3
1
1
4
1
1
1
1
1
19
2
2
1
1
1
5
3
1
1
1
3
1
1
1
1
11
1
2
2
1
1
1
1
4
1
3
26
1
1
1
3
16
1
1
1
1
1
1
1
1
3
1
1
3
1
5
1
1
1
1
1
1
3
1
5
1
3
1
1
1
3
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
5
1
1
1
1
1
19
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
3
1
3
2
1
4
1
2
3
3
1
1
1
3
3
3
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
3
2
1
1
1
1
3
1
3
1
1
1
1
1
3
1
5
1
14
1
1
1
5
1
3
5
1
3
1
4
1
1
3
1
1
3
1
1
1
1
2
1
3
3
1
1
3
1
2
1
1
1
1
1
1
1
3
1
1
1
1
9
1
1
1
1
1
3
2
2
3
2
1
1
1
1
1
2
1
1
3
1
1
3
1
3
1
3
5
1
2
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
1
1
1
2
2
2
5
1
1
1
1
17
1
1
1
3
1
1
2
1
1
1
1
4
1
1
1
1
1
1
3
1
1
2
1
1
1
4
2
1
1
2
1
2
5
1
2
3
9
1
3
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
3
1
11
2
1
1
1
3
1
1
1
1
1
1
3
2
1
1
3
1
1
3
2
3
8
1
3
1
1
1
1
1
3
2
1
2
2
1
1
1
1
1
2
1
3
3
1
1
2
3
1
5
1
1
3
1
3
1
1
2
1
1
1
3
1
4
1
3
1
1
1
1
1
2
1
3
3
1
1
1
1
2
1
1
2
1
1
1
5
1
1
6
1
1
1
1
7
3
2
1
1
1
1
1
1
1
1
1
3
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
11
1
1
1
1
1
13
1
63
1
2
1
1
1
1
1
1
2
1
3
2
1
3
1
1
1
6
1
2
1
5
5
3
1
1
1
9
7
1
2
1
1
3
1
1
5
1
1
2
3
2
1
1
1
3
2
2
5
1
1
1
3
1
2
1
1
3
1
1
2
3
1
1
1
1
3
1
3
5
1
1
1
1
2
1
1
1
1
1
1
1
3
11
1
1
1
1
1
1
1
2
1
1
1
3
1
1
5
1
1
1
2
3
1
3
1
2
2
2
3
2
1
7
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
3
3
3
1
1
6
1
1
3
1
3
1
1
46
1
1
5
1
1
1
3
2
1
1
1
1
3
1
2
2
3
1
3
2
1
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
3
3
2
1
1
1
1
1
1
1
1
3
2
7
1
2
3
1
1
3
1
3
1
1
3
3
1
1
1
1
1
3
1
3
2
1
2
1
1
1
4
3
3
2
1
9
5
1
2
1
1
1
1
1
1
1
2
1
3
1
3
2
1
2
1
1
1
1
1
2
3
3
3
1
1
4
1
3
1
1
1
1
1
1
1
1
1
1
1
5
1
28
3
5
1
1
1
1
2
1
3
1
1
2
1
1
1
2
1
1
9
1
1
1
9
2
3
1
2
1
1
1
1
1
1
4
1
1
3
1
1
1
1
2
1
3
2
1
1
1
1
1
2
1
1
5
3
45
1
1
1
1
1
1
1
3
1
1
3
1
3
2
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
3
1
5
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
10
3
1
3
101
1
7
1
1
3
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
3
7
1
1
3
5
1
1
1
6
1
1
1
1
2
5
1
1
1
1
4
1
4
2
13
3
1
1
1
3
1
1
1
2
1
1
1
3
1
1
1
3
11
3
1
2
3
1
1
1
3
1
3
1
1
3
1
1
1
1
25
1
3
1
2
3
1
1
1
1
3
1
1
1
1
1
1
1
2
1
5
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
9
2
3
1
1
4
2
2
1
3
1
2
2
1
1
1
1
3
1
2
3
3
7
2
3
3
3
1
1
3
1
1
1
1
1
8
1
1
1
1
14
1
1
1
1
1
1
1
1
1
1
3
1
1
3
43
3
1
1
1
1
3
1
2
1
1
1
1
3
3
2
1
1
3
7
3
3
1
1
1
1
3
1
1
1
1
3
1
3
1
1
3
1
1
1
1
5
1
1
2
1
1
1
1
1
3
1
11
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
3
1
1
3
1
1
3
2
4
1
1
1
1
1
1
1
1
2
2
1
5
3
1
1
2
3
1
1
3
1
1
1
3
6
1
1
743
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
7
2
1
1
1
7
1
1
1
1
5
1
1
1
2
3
1
3
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
3
1
1
1
1
3
3
3
1
1
1
1
1
4
2
5
1
1
1
1
1
1
2
2
3
1
1
2
3
3
1
4
5
1
1
1
5
1
1
1
1
1
1
1
3
1
1
3
2
9
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
3
1
7
1
3
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
19
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
1
1
1
1
1
1
15
5
1
1
1
2
1
1
1
1
1
3
2
3
2
1
1
2
1
3
7
3
1
5
1
1
1
1
3
1
1
1
1
1
9
36
1
1
1
1
81
3
3
1
4
4
3
1
1
1
1
3
2
1
1
1
16
304
1
1
1
1
9
1
2
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
3
1
1
2
1
1
1
1
3
3
1
4
1
1
3
1
1
3
1
3
1
1
2
1
3
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
3
5
3
1
3
1
1
3
11
1
2
1
1
1
1
3
2
3
1
3
1
6
3
3
2
1
1
1
3
1
29
1
1
1
1
1
1
3
1
1
3
3
1
1
19
3
1
1
1
1
1
1
1
2
5
3
10
1
1
11
1
2
3
1
1
1
1
2
1
1
1
1
1
1
5
2
1
1
1
3
1
3
1
1
190
1
1
1
1
1
1
1
1
1
3
3
1
3
1
1
1
1
1
3
3
2
1
3
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
3
1
1
1
13
3
1
1
1
1
1
1
3
1
2
1
3
3
1
1
1
1
3
5
1
1
3
1
1
1
1
1
2
1
6
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
3
9
5
2
2
5
9
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
2
1
1
1
3
5
1
5
23
3
2
1
3
1
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
1
1
1
9
3
1
1
2
1
1
1
3
1
1
2
1
3
5
1
5
4
1
1
10
1
1
3
1
1
1
7
1
1
1
5
1
1
1
6
4
1
3
5
1
1
1
1
3
1
3
3
1
3
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
1
3
1
2
3
1
1
2
1
1
1
2
1
1
1
1
6
2
1
1
1
1
1
1
1
1
1
1
5
3
1
3
3
1
1
1
1
1
1
2
18
1
1
1
3
1
1
3
1
1
1
2
1
1
3
1
8
1
1
1
4
1
1
5
1
1
3
1
1
1
1
3
1
7
3
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
12
5
1
1
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
5
1
1
1
3
1
3
1
3
1
3
1
1
1
1
1
1
5
1
2
1
1
3
1
1
1
1
5
2
1
1
1
1
3
1
3
2
1
1
1
24
3
1
1
1
1
1
3
1
1
1
1
1
2
2
1
2
1
2
3
1
3
1
1
3
1
2
1
19
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
3
13
11
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
1
3
1
2
1
4
1
3
1
1
1
1
3
3
3
3
3
1
1
1
1
1
3
2
5
2
1
1
2
3
3
4
1
1
1
5
1
1
2
2
2
1
13
1
1
3
1
1
5
2
1
3
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
41
1
1
1
1
1
1
15
3
2
3
2
1
17
1
1
1
1
1
1
1
2
1
1
1
3
17
2
1
6
1
3
1
1
1
1
1
1
23
4
1
1
1
3
1
3
2
1
3
1
1
2
1
3
3
13
1
1
3
1
1
1
3
1
3
1
1
1
9
1
1
1
1
1
2
1
2
1
1
1
1
1
3
3
5
2
1
1
1
6
1
1
1
1
3
1
1
3
1
1
1
2
1
4
1
2
3
1
1
1
1
1
1
1
1