1
1
1
3
1
2
1
1
1
2
1
1
1
1
3
1
1
2
1
7
1
1
2
1
1
1
1
4
5
1
1
1
7
2
1
1
1
742
1
1
1
18
1
1
1
1
2
1
1
1
1
1
2
1
1
2
7
1
4
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
13
1
1
2
6
10
2
2
14
2
1
1
1
2
1
1
17
1
1
1
1
1
1
2
3
1
1
619
5
1
1
1
1
1
1
1
1
11
1
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
7
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
2
6
1
3
2
1
4
1
1
2
1
1
1
2
1
1
1
3
2
84
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
4
3
1
2
2
1
1
1
1
1
2
7
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
8
1
1
1
1
2
1
1
11
1
1
1
1
1
9
1
2
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
2
1
1
1
1
2
3
1
1
1
1
1
7
2
2
1
1
1
2
1
5
1
1
3
104
1
2
1
1
1
6
1
3
1
1
1
1
1
1
1
2
1
4
1
1
1
3
1
1
1
2
1
1
37
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
8
1
1
1
1
1
1
1
1
1
1
138
1
1
3
2
2
1
1
2
1
4
1004
1
1
2
1
4
1
1
2
1
641
4
1
1
1
1
3
2
1
2
2
1
3
1
6
12
1
2
1
2
1
1
2
1
1
3
2
1
1
4
1
2
1
1
1
2
7
1
9
5
1
2
3
26
1
1
1
1
3
1
3
1
1
3
1
1
1
1
1
16
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
3
2
2
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
56
1
22
1
2
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
4
1
2
1
1
2
1
1
1
1
2
1
1
1
1
2
14
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
9
1
1
1
1
2
9
1
2
1
1
1
1
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
17
25
3
1
3
1
6
2
7
1
3
1
2
1
1
4
1
1
17
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
4
1
1
3
1
25
1
1
1
1
1
1
1
3
7
2
1
1
1
1
3
2
8
1
1
6
1
1
1
2
1
1
1
1
2
1
2
1
1
13
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
5
3
2
527
1
1
228
1
9
1
1
1
2
1
1
16
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
2
4
1
1
1
8
1
1
2
3
1
1
1
2
1
10
1
7
1
1
1
17
2
1
4
1
3
1
2
1
1
1
3
1
1
1
7
2
1
1
2
3
3
1
2
1
2
1
1
1
6
1
1
2
3
1
1
3
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
5
3
2
2
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
3
1
1
1
4
4
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
4
4
4
1
3
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
350
1
1
1
1
3
430
3
1
1
2
1
1
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
2
4
2
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
2
2
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
15
10
1
1
3
1
1
3
1
1
1
6
4
1
1
2
3
2
1
10
4
1
1
1
2
1
1
1
1
2
3
1
2
1
2
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
2
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
6
8
1
1
14
1
2
1
1
1
1
11
1
1
1
1
1
1
1
2
1
1
1
1
2
11
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
2
2
1
4
1
1
1
1
1
1
5
2
1
2
1
1
1
1
1
1
3
10
1
2
1
2
4
1
1
1
1
1
2
1
1
2
1
1
21
2
1
1
1
1
6
3
1
1
1
1
1
4
1
1
1
1
2
2
2
1
1
2
1
1
4
7
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
1
2
1
1
4
3
1
1
1
1
1
1
2
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
11
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
3
1
2
5
2
1
1
2
1
1
6
2
2
1
1
2
1
1
2
1
1
2
3
3
1
1
1
2
3
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
5
1
3
1
2
2
1
1
1
2
1
8
1
1
1
1
2
6
1
5
1
4
35
1
1
1
1
1
1
7
4
1
2
6
9
1
1
6
3
4
1
1
1
1
6
7
2
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
3
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
12
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
4
1
1
1
1
1
1
1
12
1
1
1
2
1
1
4
1
3
3
1
1
1
2
1
1
5
1
1
2
1
1
1
1
1
1
1
2
1
1
1
11
4
1
1
1
1
1
2
2
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
2
1
1
1
1
2
1
2
3
1
1
2
1
1
1
1
6
1
1
1
1
6
3
1
2
1
1
3
1
2
1
1
1
1
1
2
1
1
4
1
1
1
2
1
1
1
5
1
1
3
18
7
2
2
1
1
3
2
1
1
1
2
2
1
3
1
2
7
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
4
1
1
4
1
2
1
1
1
1
11
6
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
5
1
1
2
1
1
1
4
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1098
1
20
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
3
2
1
1
3
1
1
1
1
1
1
1
3
3
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
2
1
2
3
6
2
2
1
1
1
1
2
3
1
1
1
17
3
2
1
2
1
1
1
1
3
2
1
1
1
3
12
1
1
1
2
2
11
5
1
1
11
1
3
2
1
1
13
1
12
1
1
1
1
1
1
1
1
9
1
1
1
1
1
1
1
1
1
1
2
1
2
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
1
1
1
1
4
8
1
1
2
1
2
1
3
13
1
1
2
1
1
1
1
1
1
4
1
1
2
1
1
3
1
2
1
1
1
1
1
2
1
1
2
1
1
2
4
1
22
1
1
2
2
1
1
1
1
1
5
1
2
1
1
2
3
1
1
4
5
3
2
3
1
1
1
1
2
1
1
2
1
2
7
1
3
1
1
1
4
7
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
3
1
1
1
1
3
1
2
1
1
1
2
1
1
12
1
1
5
3
1
1
2
6
1
1
2
1
1
1
1
1
2
310
1
1
1
2
2
1
1
2
6
5
1
1
1
3
1
1
1
1
1
1
2
7854
369
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
45
1
1
1
1
6
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
3
4
1
1
1
2
1
1
1
2
1
1
1
1
1
1
5
2
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
2
2
2
1
1
1
1
1
5
1
1
1
1
1
1
2
1
106
1
1
1
1
1
1
1
2
3
1
8
2
1
6
4
1
3
1
2
1
3
1
1
3
1
1
1
2
1
1
6
3
1
1
4
7
3
1
5
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
5
1
6
2
15
1
2
1
1
3
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
85
1
1
1
3
1
1
8
1
1
1
1
1
1
1
1
1
27
1
1
1
2
1
1
1
1
5
1
1
1
1
1
2
1
1
2
1
1
5
1
1
1
1
1
1
1
4
2
2
3
1
4
1
1
1
4
2
1
1
1
1
1
2
1
1
1
8
1
1
1
1
1
1
5
1
1
1
1
1
3
1
2
2
1
1
1
2
3
1
2
9
2
1
1
1
1
1
1
2
1
1
1
2
2
1
1
8
1
2
1
2
1
1
1
1
1
1
1
1
6
3
1
2
7
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
7
1
1
2
1
4
1
2
2
1
1
443
1
1
2
1
1
1
1
2
27
1
3
1
1
1
3
1
1
1
1
1
1
68
1
1
1
5
1
1
1
1
1
1
1
2
3
1
1
3
3
2
32
5
1
4
1
2
1
5
19
2
3
1
1
1
1
2
1
1
1
1
10
1
1
1
1
5
1
2
1
1
13
1
1
1
1
2
1
1
1
1
1
2
2
1
2
1
1
8
2
2
1
1
1
1
1
1
1
2
1
5
7
1
1
1
1
1
1
1
12
119
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
28
4
1
1
10
1
1
1
1
2
1
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
1
1
1
5
7
1
2
1
1
1
5
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
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
2
2
1
4
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
4
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
1
2
2
4
1
1
1
1
2
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
2
1
2
1
1
1
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
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
2
1
6
1
1
2
6
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
3
3
1
2
2
2
1
1
2
1
2
1
1
1
1
1
2
3
1
2
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
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
1
1
1
1
1
1
1
2
4
1
2
1
1
4
1
2
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
75
1
1
1
1
3
1
1
2
1
2
1
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
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
3
1
1
1
1
1
1
1
1
1
1
2
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
2
1
1
4
2
1
89
10
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
13
1
1
1
1
1
1
1
2
1
51
8
1
1
1
1
1
1
3
1
7
4
2
1
1
3
1
1
1
1
1
1
521
12
2
1
3
2
9
1
1
1
2
1
1
1
1
2
1
1
1
4
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
3
1
1
1
364
1
1
1
2
1
1
2
1
5
2
1
1
1
1
1
1
1
4
3
2
1
1
2
2
3
2
15
1
1
4
2
2
1
525
1
1
2
1
5
8
4
14
1
1
2
1
1
3
1
1
1
1
1
5
6
1
1
1
1
1
2
4
1
1
3
1
1
1
1
1
2
1
1
2
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
2
2
2
3
7
1
1
1
2
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
2
1
1
2
2
1
2
1
2
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
15
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
6
1
1
41
43
1
2
6
1
1
3
1
2
1
1
1
3
1
1
4
2
1
1
1
1
222
2
1
1
1
1
1
1
1
4
2
21
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
8
7
2
2
1
1
1
1
5
1
1
7
1
1
2
1
4
1
1
2
1
3
1
1
1
2
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
13
1
1
1
1
1
15
10
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
1
2
1
1
1
1
9
1
1
2
1
1
2
1
1
32
2
4
5
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
5
1
5
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
4
1
1
1
1
1
1
1
32
2
1
1
2
1
10
1
1
1
1
1
1
1
3
4
1
1
11
1
1
1
1
1
1
1
1
2
1
2
1
1
2
2
1
1
1
5
11
1
1
1
4
2
2
1
2
1
1
1
1
1
1
5
1
1
12
1
1
1
2
6
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
2
2
2
1
1
1
1
3
2
6
34
1
2
1
1
1
1
2
1
2
3
2
2
1
1
2
1
2
1
1
1
1
3
4
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
3
10
1
1
1
3
1
1
2
1
1
2
1
1
2
15
1
1
2
1
3
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
1
4
2
4
1
1
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
2
2
1
1
4
6
1
1
1
1
1
1
3
4
4
1
1
1
1
2
1
1
1
6
1
1
1
1
32
8
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
9
1
1
3
1
1
2
1
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
2
1
1
2
1
1
12
2
2
1
1
2
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
3
1
2
1
4
10
1
1
1
3
1
2
13
1
1
1
5
2
1
2
1
6
2
1
1
1
1
1
1
1
2
1
1
3
1
2
7
1
1
1
1
2
1
1
1
1
1
10
1
3
1
3
1
1
1
2
1
1
1
4
1
1
1
3
1
2
3
1
1
1
1
1
2
1
2
1
1
3
3
7
3
1
1
1
3
1
3
14
1
1
3
1
9
10
74
4
1
1
5
1
1
2
1
1
3
1
2
3
11
1
2
1
1
2
1
1
2
2
1
2
1
1
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
4
1
5
1
1
1
2
1
1
1
1
2
1
1
275
12
5
1
1
1
1
1
3
5
1
6
1
1
1
1
2
11
2
2
1
1
1
1
5
6
2
1
1
1
1
2
4
6
1
14
4
2
1
1
1
1
1
1
1
1
7
1
2
1
2
1
1