1
40
4
1
1
18
1
1
1
1
1
3
1
2
13
1
3
6
1
1
1
1
1
1
1
1
1
4
2
26
3
1
5
1
1
1
12
5
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
7
1
2
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
2
59
2
1
10
1
24
1
1
1
1
1
1
4
1
1
13
2
1
4
1
1
1
1
7
1
1
1
1
4
1
1
1
1
1
3
1
2
6
22
1
1
1
1
1
3
1
1
3
6
1
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
5
1
1
5
1
9
1
19
1
2
2
2
3
3
1
1
1
1
1
6
1
1
1
1
2
1
2
1
1
1
1
3
1
4
7
1
1
1
1
1
1
2
1
3
1
1
5
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
13
1
3
1
1
1
1
1
1
1
1
1
2
1
3
9
1
1
4
1
1
1
11
2
1
36
3
1
18
3
3
2
1
1
3
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
2
2
3
28
14
1
1
1
3
1
1
1
1
4
1
1
3
2
1
1
1
1
1
1
4
3
1
1
2
1
1
2
1
2
2
10
2
8
1
1
1
1
1
1
1
1
1
1
7
1
1
1
2
4
1
1
1
1
1
1
1
1
2
2
1
1
1
1
5
1
3
1
1
1
1
2
1
2
1
1
1
4
2
44
1
4
1
1
1
2
4
3
1
1
1
3
8
2
2
1
2
2
1
2
2
3
1
5
6
1
1
2
1
1
1
1
1
1
1
1
1
20
2
1
2
1
4
1
1
3
3
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
1
9
25
2
2
363
3
4
3
6
2
1
1
3
2
1
7
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
3
1
2
1
1
6
3
1
1
1
3
3
1
2
1
1
1
1
2
1
4
2
722
1
1
1
40
1
2
26
2
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
18
1
1
1
1
1
1
10
1
1
1
1
1
2
10
1
1
2
2
1
1
2
1
1
2
1
1
2
5
1
1
1
3
1
1
1
11
1
1
4
1
1
1
2
1
1
1
4
1
2
2
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
15
1
1
1
3
1
2
1
2
4
1
3
1
1
1
3
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
70
1
3
2
2
1
2
1
1
1
4
2
2
2
13
2
2
1
1
1
1
1
2
4
1
1
1
3
1
1
1
2
1
50
2
1
2
1
1
1
3
1
1
1
1
1
1
2
1
5
2
1
1
1
1
1
2
1
1
1
1
1
1
34
1
5
1
1
1
2
1
1
1
1
1
3
5
1
8
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
2
1
1
9
3
2
1
1
1
1
3
4
1
1
3
2
1
1
1
4
2
5
1
1
1
1
5
1
3
1
1
1
1
3
2
2
4
1
1
2
7
1
1
2
1
1
1
1
1
1
2
3
1
1
61
1
19
1
3
2
1
1
1
1
1
1
8
1
1
1
16
1
1
1
1
5
2
1
1
3
2
1
13
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
11
1
1
8
1
1
1
1
1
1
2
635
1
1
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
7
2
8
1
131
1
2
2
1
3
2
5
2
2
1
1
1
1
1
5
1
1
1
1
7
1
15
1
4
1
1
1
2
1
3
2
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
3
1
4
8
1
1
20
2
3
2
1
1
2
1
1
1
8
1
2
1
10
2
7
3
3
2
3
1
1
1
2
1
2
1
2
1
2
2
3
1
3
1
4
2
1
3
1
1
3
2
5
2
1
1
1
1
1
1
1
1
2
1
1
13
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
4
1
4
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
4
1
1
8
1
1
1
3
1
2
2
3
2
1
5
2
2
1
13
9
11
1
2
1
3
1
5
1
1
1
1
1
4
1
5
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
4
20
1
1
1
1
1
4
1
2
2
1
1
1
1
1
1
1
2
6
1
1
1
1
1
1
1
1
2
8
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
4
10
1
2
1
1
1
1
3
1
2
1
1
6
1
1
1
1
1
1
1
1
27
1
2
1
4
1
1
10
7
1
1
1
3
4
2
1
1
1
1
2
2
51
1
8
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
5
1
1
6
1
1
1
1
1
2
2
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
8
1
1
2
1
1
1
4
1
3
1
2
1
1
1
2
1
1
4
2
1
5
3
1
1
1
2
2
1
254
1
1
10
2
4
1
2
1
3
1
1
24
1
1
10
2
1
3
1
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
2
2
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
8
2
1
1
1
1
346
1
3
1
1
1
1
1
1
2
1
1
4
1
1
1
1
2
1
1
1
1
1
2
1
2
3
3
1
3
3
2
1
1
1
1
1
1
8
1
4
2
2
1
2
3
63
15
2
1
6
1
1
1
1
2
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
3
2
58
1
3
1
3
1
1
1
1
7
2
1
1
2
1
1
1
5
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
1
5
1
2
1
1
3
4
1
6
1
1
1
33
592
1
1
1
1
1
5
1
2
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
3
1
1
2
1
3
1
1
1
2
1
57
1
1
1
2
1
2
1
4
1
1
1
1
1
1
1
1
1
4
2
1
1
5
160
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
1
1
4
1
1
1
1
4
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
2
1
2
3
1
2
1
11
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
1
1
9
3
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
4
159
2
2
1
1
2
1
1
1
28
1
1
1
2
1
3
2
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
6
2
1
3
1
1
1
1
18
1
18
1
1
4
1
1
1
1
1
1
1
2
1
1
2
8
3
6
1
1
3
2
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
12
1
2
1
1
6
2
2
2
1
1
1
2
1
2
5
1
1
22
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
36
1
20
1
6
1
1
1
1
2
1
2
1
1
1
22
2
1
1
19
1
1
1
1
1
21
4
5
1
2
5
2
1
1
1
5
1
4
1
1
1
1
7
1
1
1
1
1
1
1
2
3
1
1
1
1
8
4
2
143
1
4
1
1
1
43
76
1
1
2
3
3
2
1
5
3
1
1
1
14
430
3
1
10
1
1
2
1
6
1014
9
1
1
132
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
79
1
5
1
1
26
1
5
1
271
103
2
1
1
2
7
4
1
1
1
2
2
1
1
5
1
1
6
2
1
1
3
1
1
1
1
14
1
121
1
1
1
1
1
1
1
1
2
4
19
1
1
1
1
1
2
1
1
1
1
2
1
1
4
3
3
1
1
1
1
6
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
8
3
1
3
1
1
1
2
1
1
1
1
1
1
2
1
18
3
1
1
1
5
1
1
2
1
3
3
2
1
2
6
1
2
16
2
8
1
3
6
11
1
1
1
2
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
5
7
1
1
1
3
1
1
10
1
1
1
1
1234
2
11
3
5
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
9
1
2
1
5
1
1
1
3
1
1
1
4
3
1
1
1
2
1
1
1
1
1
1
1
1
12
15
1
1
6
2
2
1
1
1
3
1
3
1
1
4
1
49
1
1
3
20
5
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
2
2
24
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
3
3
1
4
1
1
1
9
1
1
6
4
4
2
1
2
1
1
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
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
35
3
1
1
1
3
1
4
9
1
1
22
1
1
5
1
1
1
4
1
1
1
1
1
1
1
2
1
1
79
1
1
1
1
2
1
3
3
1
2
1
1
4
1
2
1
1
4
1
1
1
1
1
2
1
1
2
1
2
1
1
2
1
2
1
1
1
1
6
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
1
2
2
4
7
2
1
1
2
3
4
1
1
1
1
4
1
1
3
1
1
2
1
1
1
2
1
1
1
2
1
1
2
4
2
2
3
3
2
1
11
1
5273
1
1
9
1
2
1
3
48
1
1
2
1
1
1
5
1
1
191
2
1
1
1
1
5
2
1
1
1
1
8
10
2
1
4
3
1
1
1
1
4
1
1
5
5
1
11
1
1
1
2
2
3
1
1
2
1
1
1
7
1
7
1
1
4
1
12
2
1
1
1
1
1
1
2
1
1
1
8
1
1
1
2
1
1
1
12
10
11
1
1
2
1
4
2
1
1
3
1
1
3
7
8
1
2
1
1
17
1
1
1
1
1
1
1
1
1
1
7
2
6
3
1
4
1
2
1
4
1
2
2
1
1
3
2
1
1
3
1
2
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
2
1
2
2
1
1
1
1
4
1
1
1
1
1
4
1
3
1
2
1
1
1
1
2
1
2
1
2
1
3
1
1
1
2
2
1
2
2
54
1
2
3
1
1
1
6
1
1
1
1
1
1
1
1
17
1
8
2
1
1
2
1
1
1
1
5
94
3
2
2
1
1
12
1
1
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
3
1
1
1
1
2
1
1
3
1
1
1
2
1
1
2
81
1
1
1
1
1
3
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
7
23
1
2
25
2
2
1
1
1
1
1
5
1
2
1
1
3
1
2
1
1
1
4
1
1
2
1
2
1
1
1
1
1
1
6
1
1
1
3
1
5
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
5
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
3
1
2
1
1
1
5
3
2
1
1
1
2
2
4
1
1
1
1
1
2
1
1
4
1
1
1
1
4
3
1
1
3
3
1
1
1
1
1
1
1
1
1
1
3
1
4
2
1
1
1
1
1
1
1
1
1
2
8
1
1
3
5
1
2
1
1
1
1
2
1
1
2
1
1
2
1
11
2
1
1
2
2
1
1
1
2
2
1
2
1
1
8
1
1
2
1
1
1
1
2
1
1
1
1
2
1
14
2
2
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
2
9
1
1
1
3
1
17
1
1
1
1
1
2
1
3
1
1
2
2
2
1
2
1
1
5
1
7
4
1
2
1
1
6
4
1
1
17
1
8
1
1
1
1
2
1
1
1
10
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
13
5
6
1
17
1
1
16
1
1
2
2
1
1
1
1
1
1
2
1
1
7
1
1
1
1
1
1
1
1
1
2
1
4
3
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
1
2
1
5
1
1
11
12
3
1
1
2
1
1
5
1
1
1
2
1
40
4
1
12
3
2
1
51
2
1
2
1
1
4
1
2
1
1
2
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
8
3
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
1
2
2
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
1
1
4
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
5
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
1
1
3
1
7
1
6
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2
2
1
3
5
1
3
2
2
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
2
3
3
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
3
1
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
2
2
1
1
1
3
1
1
1
1
1
1
1
2
3
4
1
1
1
1
1
1
1
1
1
74
1
1
1
2
1
1
1
1
3
1
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
1
3
1
1
2
2
2
1
1
1
1
2
2
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
2
1
3
2
1
1
6
6
1
1
1
1
4
2
1
1
1
1
1
2
1
1
2
1
1
4
1
5
1
1
1
1
1
3
1
3
1
3
1
2
1
1
1
1
1
1
1
5
2
1
2
1
1
3
1
1
1
5
1
1
1
2
1
8
1
2
1
1
1
1
1
1
1
1
4
3
2
6
1
1
1
1
5
1
1
38
1
19
12
508
4
1
1
1
2
1
1
1
2
1
2
6
1
1
1
1
1
3
1
4
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
3
4
1
2
1
1
3
1
1
1
1
2
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
4
1
5
2
1
1
1
1
2
1
1
1
1
3
5
3
2
3
3
14
3
1
2
1
1
1
1
1
4
5
3
1
2
1
2
57
1
1
1
1
1
3
2
1
1
1
1
1
7
1
1
2
1
1
2
5
3
1
5
1
3
7
3
2
1
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
2
1
1
3
3
1
1
1
1
1
1
1
1
3
1
76
1
1
3
2
1
1
1
1
1
1
8
1
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
4
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
5
1
1
1
13
1
1
1
1
2
1
1
1
4
1
1
1
1
1
2
1
1
3
1
2
1
1
3
1
6
1
1
2
117
1
1
2
1
1
1
1
1
1
13
2
1
2
2
1
1
2
1
1
1
2
1
2
2
1
9
3
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
3
1
1
20
1
1
1
2
5
5
1
2
1
1
9
5
2
2
1
1
3
1
11
1
1
1
1
6
2
1
1
1
4
1
3
1
1
1
1
100
1
1
2
4
2
1
2
1
1
1
1
2
2
2
1
2
1
1
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
6
2
1
2
1
1
1
3
3
2
1
53
1
1
1
239
2
1
1
1
1
1
2
1
9
1
2
1
1
1
136
1
2
1
1
2
3
3
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
2
1
1
3
1
1
1
3
1
1
1
1
1
2
2
1
1
3
1
1
1
1
8
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
4
1
1
1
2
1
1
2
1
2
1
1
1
1
2
7
1
1
1
3
1
3
41
1
1
32
1
1
1
1
1
1
1
2
7
3
1
1
1
1
1
1
1
135
4
1
1
1
1
1
1
1
2
2
1
1
1
2
2
5
6
40
11
4
1
1
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
6
1
1
2
1
1
1
1
1
2
1
4
1
1
1
1
3
1
25
1
1
2
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
3
1
4
1
1
1
1
1
2
1
2
2
1
1
2
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
4
3
1
1
3
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
4
1
1
2
2
1
1
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
2
1
2
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
1
2
1
9
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
2
1
1
1
1
10
1
1
1
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
2
2
1
2
1
1
15
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
33
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
14
5
1
1
1
2
12
1
1
1
14
1
1
3
1
1
1
1
1
4
2
1
2
1
1
1
1
1
2
1
38
2
484
1
1
1
1
1
1
2
1
1
2
1
3
1
1
5
1
2
4
1
1
1
1
1
1
36
1
1
3
1
3
1
2
6
1
1
1
4
3
2
1
35
1
1
1
1
1
13
1
1
8
1
1
15
5
1
1
1
5
1
2
17
1
4
1
1
1
1
2
4
1
1
2
1
1
1
1
5
1
6
2
4
1
7
1
1
2
1
1
13
19
1
1
2
1
1
1
1
5
1
2
3
1
1
1
1
2
1
1
4
1
2
1
3
1
3
1
1
1
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
5
2
2
1
1
2
4
2
49
1
3
1
4
1
1
5
2
1
3
3
1
1
1
1
1
1
2
2
1
1
1
1
11
1
1
2
1
1
1
1
1
1
3
79
2
1
1
2
6
1
3
1
1
1
1
2
2
9
1
1
1
2
1
1
2
3
1
1
2
100
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
3
2
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
4
3
2
13
1
1
1
1
7
1
1
1
1
173
3
1
1
244
12
1
4
1
54
1
1
1
2
1
1
1
1
1
2
1
1
1
6
3
1
1
1
1
1
1
1
1
30
4
1
1
1
1
1
1
4
1
1
1
1
4
4
1
1
1
1
12
1
2
