1
2
2
1
1
4
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
7
1
2
1
1
1
1
1
1
9
1
1
2
1
1
1
1
9
16
4
4
3
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
6
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
4
3
1
3
2
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
7
1
1
1
4
1
1
2
1
2
1
2
1
1
1
2
1
1
12
1
4
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
2
1
2
1
1
1
2
1
2
2
1
5
2
1
27
2
1
1
3
1
1
2
2
1
1
3
7
2
1
3
1
1
1
13
2
1
2
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
3
1
42
1
1
1
1
1
2
4
1
1
9
6
3
3
1
1
1
1
1
2
1
4
2
2
1
4
1
1
1
1
1
6
4
1
9
3
2
5
1
1
2
2
6
2
1
3
8
1
5
1
1
1
4
1
1
1
1
1
1
2
3
1
4
3
1
1
1
1
4
3
1
1
7
2
1
1
1
2
1
2
1
1
1
1
1
1
4
1
3
1
1
1
1
3
2
3
1
1
1
2
1
1
1
5
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
2
1
1
8
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
4
2
1
14
1
1
2
1
2
2
3
1
1
1
2
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
2
5
1
6
1
1
1
1
1
2
1
2
1
2
2
1
1
1
3
1
2
1
11
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
2
1
1
1
1
16
1
3
5
2
2
1
1
1
2
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
2
2
1
1
1
1
8
1
1
94
1
1
92
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
1
3
4
3
1
11
4
6
1
1
2
1
1
1
1
1
12
2
13
1
2
1
1
8
2
2
1
1
1
2
1
1
1
2
1
1
1
3
174
1
1
9
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
4
1
1
1
1
6
1
1
1
2
1
2
10
5
1
2
2
10
1
2
2
13
1
4
2
2
1
2
4
3
2
7
1
1
1
1
1
1
7
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
114
1
1
2
1
1
2
5
1
1
3
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
3
1
1
1
1
1
1
5
1
1
3
1
2
1
1
1
3
1
1
1
1
1
3
1
1
7
2
4
1
2
1
1
1
1
1
8
1
1
1
2
1
1
1
8
1
1
1
1
1
1
3
1
1
3
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
4
1
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
1
2
41
2
1
1
1
4
1
1
1
1
1
1
2
2
1
5
3
1
2
1
1
1
1
1
1
1
3
1
20
1
1
1
8
2
1
1
1
14
2
1
1
3
8
2
1
126
1
1
2
1
1
1
1
6
1
3
1
2
1
1
1
2
1
2
1
1
1
1
1
1
4
1
2
2
7
1
1
1
1
1
1
1
2
2
1
1
2
1
1
2
1
1
1
1
2
4
1
2
4
1
25
1
1
5
3
1
1
2
1
1
1
1
1
1
1
1
245
1
1
1
1
1
3
1
1
3
3
1
1
2
1
1
1
1
2
1
1
1
6
1
1
3
1
2
1
1
1
2
3
1
2
1
2
3
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
1
1
20
2
4
2
2
1
1
1
1
1
1
2
4
1
1
1
3
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
1
2
1
11
1
1
1
1
1
5
5
1
3
2
1
1
1
1
1
1
3
1
1
1
1
1
15
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
3
1
1
1
1
2
2
2
1
6
1
1
2
3
49
1
1
1
2
1
1
1
1
1
5
1
2
1
2
1
1
1
1
8
1
1
3
1
1
1
1
5
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
12
1
1
2
1
1
1
1
1
1
3
1
35
1
2
1
5
2
1
7
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
1
3
1
6
4
1
1
1
21
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
14
2
1
1
1
1
1
7
1
1
1
1
3
1
1
1
1
2
1
1
1
1
8
1
1
1
2
1
2
1
1
1
1
1
1
3
2
1
1
1
2
66
4
1
3
2
1
2
1
1
1
12
1
1
1
1
2
2
1
1
2
1
1
1
1
3
1
1
7
2
1
3
1
4
3
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
2
1
4
1
1
2
1
1
3
4
1
4
1
1
1
1
1
1
3
1
5
1
2
1
1
1
1
1
2
1
1
2
2
1
1
2
3
2
2
1
2
1
2
2
1
2
1
1
1
10
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
5
1
1
3
3
1
4
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
1
1
2
1
1
1
46
1
1
1
18
1
2
1
1
1
2
3
1
1
1
2
1
1
4
2
1
13
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
23
1
1
2
1
1
1
1
2
1
1
1
1
1
3
2
1
2
3
2
1
3
2
1
1
1
2
1
1
1
2
22
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
133
1
1
1
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
7
1
500
11
1
1
2
2
5
1
1
2
1
8
1
1
1
1
2
1
1
1
1
1
1
7
1
2
2
1
1
4
1
1
5
4
1
1
7
2
1
1
1
2
1
4
2
1
1
1
1
1
2
2
1
3
1
2
1
4
2
1
1
2
1
1
3
1
1
1
3
3
1
3
1
1
3
4
1
1
1
1
1
1
5
1
8
4
1
8
2
2
2
1
4
1
1
2
1
1
2
1
2
1
1
1
1
1
1
2
1
1
2
3
1
1
1
1
5
1
4
11
1
3
1
1
1
1
3
1
2
2
1
1
2
1
2
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
5
2
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
1
2
1
1
1
2
2
1
1
1
8
1
1
2
1
2
2
3
7
1
1
1
2
1
1
1
1
7
1
1
1
2
1
3
1
1
1
1
1
1
1
1
4
1
1
2
1
1
4
1
5
1
1
1
1
2
1
2
2
1
1
1
1
1
4
1
1
2
1
2
2
1
3
1
1
2
4
1
1
1
1
1
2
2
1
1
1
1
4
1
2
2
1
1
5
1
1
6
1
1
1
2
1
2
2
1
1
1
2
4
1
1
3
1
1
1
2
1
6
1
2
1
2
1
3
1
1
1
1
1
5
1
3
1
24
11
1
1
1
2
3
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
2
1
1
1
1
1
1
2
1
3
1
1
15
1
2
1
1
2
1
1
69
3
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
5
2
4
2
1
1
2
4
1
1
3
3
1
1
1
1
5
2
2
2
2
1
1
1
1
3
6
4
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
6
3
2
1
1
2
2
1
2
1
3
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
2
2
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
5
1
3
1
2
1
3
1
1
1
1
2
2
2
1
1
1
1
13
2
1
2
1
1
2
5
1
3
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
2
1
3
1
2
1
1
1
1
1
1
2
3
1
1
1
6
16
8
11
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
4
1
3
1
1
1
1
2
1
3
1
1
1
1
1
1
20
2
1
1
1
1
1
1
2
1
1
2
4
4
3
1
1
1
1
1
3
3
1
1
1
1
1
2
1
1
2
1
2
1
10
1
3
2
1
2
1
6
1
2
2
1
1
1
1
2
1
1
2
4
8
1
1
1
1
1
502
12
2
12
1
2
1
1
2
2
42
3
1
2
1
1
1
51
2
2
1
15
2
3
5
1
2
2
1
1
1
2
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
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
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
4
2
4
465
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
1
1
8
2
1
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
129
7
1
1
1
5
2
2
1
3
1
2
1
1
1
1
1
1
1
1
3
4
3
6
1
4
1
2
2
2
1
91
1
1
1
1
2
1
1
1
1
1
1
87
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
2
3
3
1
1
1
1
4
1
2
2
1
1
4
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
4
1
87
1
1
1
1
1
1
1
3
5
4
1
1
1
1
1
3
1
2
1
1
1
2
1
3
2
1
1
1
2
2
1
4
1
1
1
17
4
1
1
1
1
1
165
1
2
1
1
1
1
1
1
6
1
1
4
1
1
1
1
2
1
1
1
2
13
1
4
1
1
2
1
1
1
4
1
1
1
1
11
1
2
1
1
1
1
1
2
1
1
1
2
4
3
3
1
7
4
1
4
1
5
4
2
2
2
1
1
1
1
1
3
1
1
3
2
1
2
1
1
1
1
1
3
1
9
1
4
1
1
1
1093
1
2
3
2
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
6
2
1
2
2
2
1
1
1
1
19
1
2
1
1
1
1
1
1
2
2
2
6
2
1
18
1
2
1
1
1
1
1
2
127
1
1
1
3
2
1
8
1
1
1
1
2
1
1
1
1
2
3
1
1
12
2
1
1
1
1
1
1
10
1
1
1
1
1
1
1
1
2
2
2
2
1
1
5
1
1
1
1
1
6
2
3
1
1
1
2
1
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
2
4
1
1
1
1
9
1
2
2
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
24
1
1
1
2
1
1
7
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
2
1
2
1
1
1
1
1
3
1
1
5
1
3
1
3
1
1
1
1
1
1
2
2
1
1
128
2
1
1
1
2
17
4
1
2
1
2
2
1
1
1
1
1
4
2
1
2
1
1
2
1
1
1
1
1
2
2
1
1
5
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
4
1
3
2
6
3
2
1
4
1
3
2
3
1
1
1
1
1
2
1
335
1
1
2
1
3
3
2
1
1
1
1
1
1
2
2
1
3
1
1
2
2
2
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
2
1
2
2
1
3
1
1
1
2
1
1
1
3
1
1
2
21
1
8
1
1
1
1
1
2
1
4
2
32
1
1
1
3
3
1
2
5
1
1
1
2
1
1
2
2
3
2
6
2
2
1
1
1
1
1
6
4
1
2
10
8
2
1
1
3
1
1
1
1
2
4
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
3
2
2
1
2
1
1
1
2
2
2
16
1
1
2
2
1
1
2
1
2
2
1
7
1
2
2
1
2
1
1
16
2
1
1
1
1
1
1
2
4
5
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
1
1
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
2
1
1
2
1
1
2
9
2
2
3
1
1
4
1
2
1
2
1
2
1
1
3
1
1
1
1
2
3
1
1
1
3
1
1
1
1
1
1
8
1
1
1
1
5
1
2
1
2
1
764
3
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
5
1
7
1
5
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
3
3
2
2
2
7
1
301
4
1
3
1
1
1
1
1
4
8
1
1
1
1
1
6
6
7
1
1
1
9
1
3
3
1
2
1
1
1
2
2
4
1
1
3
12
1
3
1
1
1
1
1
2
1
2
6
1
89
1
1
5
1
2
1
1
1
18
1
2
2
1
1
1
1
1
3
1
1
8
1
1
9
1
1
2
1
1
4
2
1
1
1
1
1
3
1
1
1
1
1
1
1
5
1
2
3
1
1
1
1
80
1
8
1
1
2
5
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
104
13
1
2
1
1
2
1
1
1
2
1
92
1
2
4
6
1
417
1
1
2
1
2
1
3
3
2
1
2
1
3
2
2
1
3
2
1
4
3
23
1
1
2
1
1
1
1
1
332
2
3
1
1
8
1
2
2
1
2
2
2
1
4
1
1
1
2
2
1
4
3
3
2
1
2
1
25
1
2
2
1
3
1
1
1
3
1
4
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
1
2
2
1
1
4
1
38
1
1
1
1
1
1
1
1
1
1
1
4
1
1
6
2
1
3
1
10
9
9
1
1
6
1
1
1
1
1
2
2
1
1
1
1
1
1
4
2
1
2
15
4
1
16
3
1
1
2
1
1
1
2
1
1
5
7
1
1
1
4
2
2
1
5
1
2
2
1
1
1
2
10
1
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
1
2
2
1
1
1
1
4
5
1
1
1
2
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
3
2
1
1
1
1
1
1
2
1
4
3
1
1
1
1
1
12
5
5
2
1
1
1
1
1
4
2
8
3
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
2
1
2
1
1
2
1
2
1
2
1
1
1
2
2
1
2
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
2
1
5
2
2
1
1
1
1
1
1
1
4
1
3
1
1
1
3
1
1
2
4
4
3
4
2
1
2
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
3
1
1
1
1
6
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
5
1
2
1
1
2
1
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
11
5
1
2
2
1
4
4
2
1
1
2
1
1
1
1
3
1
1
1
1
4
1
1
1
1
7
1
1
1
1
5
2
1
1
1
2
1
2
1
1
1
4
1
1
1
2
2
2
1
1
1
1
1
1
1
2
4
1
1
3
1
1
1
4
2
1
2
10
1
1
17
2
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
2
1
4
1
19
5
3
1
1
2
1
1
2
3
1
3
1
1
2
2
3
1
1
3
1
6
2
1
2
1
1
2
1
1
1
1
1
6
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
2
2
2
2
1
6
6
1
1
1
9
1
1
3
1
1
4
2
1
1
1
3
2
1
1
1
1
2
1
70
1
1
1
1
3
1
5
2
3
1
1
1
1
1
1
1
1
3
1
2
2
1
37
1
1
5
1
1
2
2
1
1
1
1
2
3
2
1
1
1
1
16
1
1
1
1
1
1
264
1
1
1
1
1
2
1
2
1
1
1
4
1
3
1
2
1
1
20
8
3
2
7
1
1
1
2
4
1
1
2
1
1
1
2
1
2
3
1
1
1
1
1
1
4
1
1
1
3
1
1
2
1
3
1
1
2
4
1
1
1
1
1
1
1
2
1
2
4
1
1
2
1
1
2
1
1
1
4
3
1
3
1
1
4
1
1
1
10
3
1
1
1
1
1
2
1
1
8
1
2
1
1
1
2
2
1
1
2
1
1
1
1
1
3
3
1
1
6
1
1
4
2
1
1
1
1
5
1
1
1
1
1
3
1
1
2
2
1
3
1
2
1
1
1
5
2
1
1
1
1
2
1
2
1
1
1
6
2
1
2
1
1
5
2
1
1
1
1
2
10
2
3
4
1
1
1
1
1
1
1
1
2
1
1
1
3
6
2
1
1
1
1
1
1
1
1
57
1
1
1
9
1
1
1
7
1
1
4
2
3
4
2
1
30
3
3
1
1
29
4
1
3
3
4
3
1
2
18513
1
1
6
2
4
1
1
1
1
2
2
1
3
2
3
5
1
1
1
2
9
1
2
1
1
1
2
1
1
2
1
1
2
4
1
1
1
9
1
1
2
1
1
1
3
1
1
3
1
1
1
9
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
1
6
10
3
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
2
2
2
1
1
1
1
1
1
1
1
10
3
1
1
6
1
3
1
3
1
1
3
1
4
1
1
1
1
1
1
1
2
1
1
1
9
1
1
1
1
1
53
2
2
1
2
2
1
1
3
1
1
2
1
3
1
1
2
9
1
15
1
1
1
3
3
2
1
1
138
1
2
1
1
2
1
7
1
1
9
8
17
1
1
3
1
1
3
2
2
4
1
1
1
1
4
2
2
6
1
1
5
6
1
1
1
3
1
1
3
1
1
1
11
1
1
2
4
1
1
1
2
1
2
1
1
1
1
1
6
1
1
18
1
1
1
2
1
2
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
1
8
1
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
4
3
2
1
1
1
1
1
4
2
2
1
1
1
1
1
1
1
3
1
3
1
1
1
2
12
1
2
1
1
1
1
3
2
1
1
2
12
1
1
2
2
1
3
1
148
5
1
7
4
2
1
1
8
1
1
4
3
1
3
1
1
1
3
1
1
2
2
1
1
7
21
1
1
1
1
1
1
3
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
1
1
8
1
183
1
1
4
1
1
2
1
1
1
1
1
1
2
2
1
1
2
1
12
1
1
2
1
1
2
6
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
223
1
1
3
4
22
1
1
1
19
1
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
68
6
1
1
1
3
1
1
1
1
1
1
1
2
1
24
1
4
1
2
1
1
1
1
2
2
1
2
2
2
5
3
1
1
1
1
1
1
1
1
1
14
2
2
1
3
1
1
1
3
1
1
2
1
1
2
1
1
1
1
6
1
1
1
3
1
1
1
6
2
3
1
1
1
2
1
1
1
2
1
1
1
2
3
1
8
2
1
1
2
1
3
2
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
3
1
1
1
2
1
3
2
1
2
1
1
1
1
1
1
1
1
4
2
1
9
1
3
1
3
1
1
1
3
1
1
1
1
1
1
3
2
2
1
100
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
6
1
1
8
1
1
3
1
1
1
1
1
1
1
1
10
1
2
1
2
7
2
1
1
1
3
1
6
1
1
1
2
1
3
1
1
14
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
7
2
1
1
19
1
2
1
1
1
1
1
1
1
1
1
11
1
2
1
1
1
1
1
1
1
1
1
13
1
6
1
2
2
1
1
3
1
4
1
4
2
2
39
4
2
3
3
1
2
2
1
1
1
4
2
1
1
18
1
4
1
7
1
1
1
1
1
1
1
2
1
1
1
3
1
1
3
2
1
1
1
2
1
1
4
1
2
1
1
2
1
1
1
1
1
2
1
1
2
2
1
1
2
6
2
1
3
3
1
1
1
1
2
1
1
1
1
1
7
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
3
6
2
2
1
1
1
1
3
1
1
6
1
1
1
13
1
2
8
1
2
1
5
1
1
1
1
1
8
1
1
1
1
1
1
1
1
1
2
27
7
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
2
1
1
2
1
8
1
2
2
1
1
1
4
1
1
1
11
1
1
12
4
1
1
8
3
2
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
15
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
2
1
2
1
1
2
3
1
1
2
1
4
1
1
1
1
3
33
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
3
1
6
1
2
1
5
3
1
1
1
1
2
1
1
3
1
2
3
1
1
1
1
1
1
2
1
2
1
1
1
4
1
1
4
1
1
1
1
1
232
4
1
18
3
2
1
1
3
1
3
1
2
5
22
5
38
19
2
44
5
2
2
1
1
4
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
2
2
1
1
1
3
1
3
4
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
3
1
2
2
1
1
1
1
2
4
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
5
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
2
1
2
1
1
2
1
1
1
1
2
2
1
2
1
1
1
1
1
3
1
3
1
2
1
2
1
2
1
2
1
1
1
1
1
1
2
1
1
2
2
2
3
1
2
1
1
1
1
1
1
2
1
1
2
2
2
1
2
1
1
1
3
1
1
2
1
1
1
4
1
1
1
1
2
1
1
1
2
2
1
1
1
1
6
2
5
1
1
2
1
3
7
1
3
2
1
1
1
1
1
2
2
2
1
1
1
2
5
1
6
1
1
1
3
1
1
1
1
1
1
2
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
6
1
1
1
2
1
2
1
2
1
4
1
1
1
3
2
1
1
1
1
1
2
1
1
7
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
7
1
3
2
3
2
5
1
4
1
1
1
6
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
5
2
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
5
1
3
1
1
1
1
2
1
2
1
2
1
1
1
2
1
2
1
3
2
2
3
3
1
3
1
5
3
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
3
1
1
1
3
1
1
4
2
2
1
2
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
3
5
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
5
1
3
1
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
2
1
2
2
1
3
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
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
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
2
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
5
4
1
2
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
2
1
2
1
1
1
1
1
1
1
1
1
1
2
2
2
1
2
1
1
1
2
1
1
1
1
1
3
1
1
1
3
202
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
5
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
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
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
2
1
1
1
1
2
6
1
1
1
3
1
3
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
9
1
1
3
1
3
1
1
1
4
1
1
1
1
1
2
2
1
1
3
1
1
2
1
1
2
1
1
9
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
6
1
1
2
2
2
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
8
1
1
2
1
1
3
2
1
2
1
1
1
1
1
1
2
1
2
253
277
1
1
1
1
1
1
1276
1
4
1
3
1
1
1
1
1
146
1
3
6
6
8
1
1
1
1
1
2
1
2
1
2
1
2
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
2
1
1
3
3
1
1
2
1
2
1
2
4
1
1
9
1
22
1
2
1
1
8
1
1
2
1
2
1
3
1
11
1
10
1
1
1
1
1
1
5
1
3
1
1
1
1
1
53
1
2
7
1
1
1
1
1
2
1
1
1
1
4
1
1
1
3
2
3
1
3
2
2
1
2
1
1
6
1
3
1
1
1
1
2
1
1
1
4
1
1
9
1
3
1
21
1
2
1
1
1
5
1
8
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
8
1
3
1
1
1
5
1
1
4
3
1
2
1
8
3
1
2
3
2
2
1
2
1
2
2
2
15
4
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
8
15
1
3
1
1
1
9
1
1
2
1
2
3
2
1
1
1
2
3
5
1
1
2
1
1
1
1
3
2
1
1
2
1
1
1
1
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
1
3
3
5
1
1
1
4
3
1
1
1
2
1
3
1
1
3
1
1
2
3
2
1
2
1
2
2
3
1
1
1
1
2
1
1
1
1
1
2
1
7
1
6
2
1
3
1
1
2
1
1
1
1
3
1
1
1
2
2
3
1
1
4
2
2
2
1
1
5
1
12
3
5
3
1
1
1
1
1
1
4
2
2
1
1
2
1
1
2
1
1
19
1
1
1
3
1
1
2
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
2
1
1
4
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
6
2
1
1
1
1
2
1
1
1
1
1
1
1
4
1
4
2
5
1
3
1
2
1
35
5
3
4
2
1
3
1
4
1
1
1
1
3
1
1
1
2
1
1
2
2
6
1
1
1
1
2
1
1
1
27
5
5
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
8
1
1
1
1
1
3
1
1
1
1
2
19
2
1
1
1
3
1
1
2
1
2
2
1
1
1
2
1
4
1
2
1
2
1
1
2
2
5
1
1
9
3
3
2
1
2
1
4
1
1
2
2
1
1
2
1
1
1
1
4
3
4
2
1
2
2
3
2
1
1
116
1
2
50
23
4
2
1
1
3
7
2
1
1
2
1
3
1
1
8
1
3
1
1
1
5
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
2
1
1
1
2
1
2
1
1
11
7
1
1
52
2
1
2
1
2
1288
1
1
2
1
50
1
2
5
1
1
1
1
1
1
1
1
3
1
1
1
1
2
4
1
1
1
3
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
11
1
1
1
1
4
2
1
4
1
1
1
4
1
1
2
4
2
2
1
1
1
1
2
3
1
3
1
1
2
2
1
1
1
2
1
1
2
1
2
2
2
1
1
4
2
2
2
2
4
3
1
1
1
4
2
5
1
1
1
1
1
1
15
2
1
8
1
4
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
2
1
2
1
1
4
1
1
2
1
1
1
1
1
1
2
4
1
1
1
1
2
1
7
1
3
1
1
1
8
2
1
1
4
5
1
1
2
1
1
1
1
1
1
2
1
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
3
1
1
2
2
1
2
3
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
2
11
6
1
1
2
1
1
1
2
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
3
1
2
1
1
3
1
1
1
1
2
1
5
2
1
1
1
1
1
9
1
11
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
9
3
1
1
2
1
1
23
1
1
3
1
1
1
2
1
1
1
1
1
1
1
7
4
1
7
1
2
1
1
2
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
7
1
1
1
1
2
1
6
1
2
2
1
2
2
1
2
1
1
1
1
3
2
2
1
1
1
5
1
2
1
1
1
1
1
3
2
23
1
1
1
1
2
1
2
3
1
2
3
2
14
1
2
1
1
1
2
2
3
1
2
1
1
4
1
2
1
7
1
1
1
1
1
1
2
3
2
2
1
1
1
1
1
1
3
1
1
2
1
1
2
2
1
1
1
1
2
1
1
1
4
1
3
1
1
3
1
8
1
4
1
2
1
1
1
2
1
2
1
1
3
4
1
1
1
1
1
3
1
3
1
2
1
2
2
1
1
1
7
1
1
1
1
6
1
2
1
2
2
1
4
1
1
3
9
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
6
3
1
1
1
4
1
1
1
3
1
1
2
2
1
1
1
1
3
2
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
3
1
2
2
1
3
1
1
1
1
1
3
1
1
4
1
1
1
1
3
3
1
4
2
1
2
1
1
2
1
1
3
2
2
1
1
1
1
1
4
4
1
18
1
1
4
1
1
2
1
1
2
2
5
1
1
2
1
1
1
1
2
4
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
4
1
1
1
1
1
3
2
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
3
1
10
1
1
1
4
3
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
17
2
1
9
4
1
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
2
1
1
6
1
2
1
1
1
1
1
1
1
3
1
18
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
2
5
2
1
1
1
2
2
1
2
1
1
2
1
1
1
1
1
3
2
1
2
2
1
4
1
1
1
2
2
1
1
3
1
2
1
1
2
1
2
1
21
2
7
1
6
1
1
1
2
36
2
8
23
4
1
1
1
1
1
1
7
1
1
1
1
1
26
1
2
4
114
1
3
1
2
1
679
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
10
1
1
16
1
1
19
22
1
1
2
2
1
2
1
1
1
2
1
1
1
1
1
11
1
1
1
1
3
1
1
1
1
1
1
2
1
14
2
1
3
131
2
1
3
19
1
3
3
1
1
1
1
8
1
1
2
7
5
3
1
2
3
1
1
1
1
1
1
3
1
2
1
2
3
1
1
1
3
1
1
2
2
3
1
2
2
1
1
1
1
2
1
1
1
12
2
1
1
25
1
1
2
3
1
1
1
1
1
1
9
1
4
1
1
1
2
1
4
34
1
1
1
1
1
1
1
1
4
1
1
2
4
1
1
1
3
2
1
1
1
1
57
1
1
1
4
28
1
2
1
7
2
3
1
2
2
1
1
1
4
1
3
3
1
1
1
5
1
1
1
1
1
1
1
3
23
2
3
2
1
3
1
8
1
4
1
4
4
1
1
1
2
1
1
1
1
1
2
1
1
4
1
1
2
9
9
1
6
1
17
1
3
7
1
1
1
1
1
3
1
2
1
2
1
1
3
4
5
1
1
1
6
2
1
1
2
4
26
2
1
2
2
1
1
1
1
1
1
1
10
9
1
2
1
7
2
1
1
2
1
2
8
1
161
1
3
3
11
1
1
1
1
1
3
6
2
1
2
65
1
2
3
2
1
4
3
53
1
3
1
1
5
1
1
1
1
3
1
1
7
11
2
1
1
3
2
2
3
1
7
1
1
1
1
1
1
1
1
1
1
8
1
1
2
1
2
1
1
14
1
1
1
3
1
1
1
1
2
1
3
3
1
1
1
1
1
35
2
11
1
1
2
1
1
1
2
1
1
1
2
2
1
1
5
1
2
1
1
1
2
2
1
3
5
2
1
1
1
2
1
2
2
2
2
1
1
1
2
1
2
1
2
1
1
1
1
2
20
2
1
1
1
2
8
3
1
2
1
1
479
1
2
1
1
1
5
1
1
1
1
5
1
2
1
1
2
2
1
1
1
1
2
1
4
1
1
2
1
3
3
2
1
5
1
3
18
1
5
1
1
1
1
1
1
30
6
1
1
1
1
1
4
1
3
1
1
2
2
3
2
1
1
1
3
1
1
1
8
1
1
1
5
1
3
2
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
4
2
