2
7
4
1
1
1
4
1
1
12
38
1043
5
1
5
1
12
13
3
1
22
1
97
5
1
1
1
4
3
5
1
7
1
8
1
1
1
3
8
50
1
1
6
1
1
1
1
1
1
1
1
30
3
2
1
1
1
1
1
1
3
2
1
2
1
1
2
1
1
1
5
2
2
3
1
1
1
2
1
1
1
1
1
2
1
1
12
1
1
1
2
9
1
1
1
1
1
2
6
1
1
1
1
10
7
1
1
1
1
1
3
1
3
1
1
1
4
1
1
2
1
2
2
1
1
1
1
1
1
1
1
4
1
15
1
2
1
1
3
1
1
12
3
5
1
3
1
13
3
1
16
3
1
1
1
1
1
1
1
1
1
1
3
5
3
2
1
1
1
1
1
6
2
1
1
1
2
14
1
5
3
2
15
1
1
1
1
1
1
14
1
1
4
3
5
1
1
8
2
1
1
5
1
2
2
6
3
2
1
1
3
1
1
2
1
1
2
1
1
1
3
2
2
1
1
1
4
1
2
14
1
5
1
1
23
7
2
1
3
4
1
1
2
2
6
1
3
2
1
1
44
2
2
1
1
1
2
1
1
27
1
1
1
1
1
16
1
9
2
1
2
1
1
2
13
1
1
1
1
1
6
5
1
4
1
1
20
1
1
2
12
1
5
2
4
2
2
1
4
1
1
1
11
1
1
1
3
2
1
4
1
2
1
1
2
1
1
6
1
4
1
1
1
1
1
4
1
1
3
4
1
1
1
1
1
1
21
4
1
2
9
1
1
10
1
4
2
1
13
1
7
4
1
1
1
1
1
11
99
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
2
12
4
3
1
1
3
1
1
2
1
170
3
2
1
1
3
1
5
7
1
1
1
5
2
2
1
1
1
1
1
1
1
1
1
2
32
1
1
2
2
1
21
1
1
1
3
1
1
144
2
1
4
1
18
1
2
1
2
1
1
1
1
4
2
1
1
1
1
1
2
1
2
1
1
1
7
1
2
1
1
2
5
88
1
1
2
1
2
1
26
2
18
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
2
5
1
1
1
1
1
1
1
14
1
10
2
5
27
270
22
1
8
1
2
2
1
1
1
1
1
2
1
2
5
1
1
2
2
9
1
1
1
1
1
1
3
1
1
1
1
2
1
1
18
2
1
1
1
6
1
1
2
1
4
1
4
8
1
1
1
1
1
1
2
1
3
2
3
1
1
1
6
1
1
5
1
2
1
20
1
1
1
1
1
1
1
1
3
2
1
1
1
5
2
1
1
1
2
1
1
1
1
1
1
1
2
1
5
688
1
1
8
1
1
4
1
3
4
1
13
1
2
11
1
5
1
1
3
1
1
1
14
1
1
1
1
1
1
1
1
3
1
1
1
5
1
1
1
2
1
1
2
1
1
2
1
33
4
44
1
3
1
9
1
1
1
4
1
54
1
1
1
1
6
1
1
1
1
1
1
1
4
2
2
1
6
3
1
2
1
1
4
1
4
2
1
2
1
1
1
4
2
2
1
2
1
1
1
1
1
9
1
2
1
1
11
2
1
1
1
4
9
225
1
1
1
1
4
5
1
1
3
8
1
3
2
2
1
1
3
12
3
2
1
16
4
1
1
1
1
2
1
1
1
2
1
1
1
1
3
2
1
1
6
3
3
1
1
1
1
1
1
1
1
1
1
1
52
1
2
1
1
1
1
1
1
1
1
1
1
26
141
1
1
1
1
4
3
1
2
9
1
1
1
2
2
4
1
8
1
2
1
1
1
3
1
1
1
3
1
1
1
1
5
1
1
2
1
4
1
1
1
2
1
1
5
1
1
2
3
1
1
1
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
2
1
1
1
1
1
5
1
1
1
1
2
1
1
2
3
23
2
14
1
3
1
1
1
2
88
1
2
1
1
2
2
1
1
1
1
1
1
1
2
1
1
2
1
1
15
1
14
5
1
2
4
4
4
44
160
1
1
2
1
4
1
4
1
1
2
1
1
1
4
1
2
1
1
1
3
1
2
3
7
4
1
11
2
4
3
2
1
16
4
11
6
1
2
1
1
2
2
1
1
1
1
1
2
1
4
2
2
2
1
3
3
1
2
1
4
3
3
1
1
4
2
1
1
1
1
1
1
3
1
2
1
1
4
1
4
1
1
1
1
1
1
3
5
2
3
1
4
1
1
3
8
1
2
2
1
1
1
2
2
1
5
1
1
16
2
1
1
1
2
1
8
1
4
1
1
1
2
1
4
9
1
1
1
1
1
7
1
2
3
3
6
1
1
1
1
2
1
2
1
1
2
1
1
6
2
1
3
1
1
1
2
2
1
1
3
1
1
6
3
1
1
2
1
5
8
22
22
30
27
2
2
5
1
1
1
2
1
2
1
1
1
1
1
2
1
3
9
10
2
3
1
2
1
1
40
1
1
5
2
1
9
1
1
1
3
4
1
1
1
8
2
7
2
2
1
1
1
1
4
1
2
1
1
8
1
5
3
1
1
1
1
12
2
2
19
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
65
1
1
2
1
3
7
6
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
3
1
3
1
6
1
2
1
16
1
1
12
5
1
1
2
8
1
1
1
1
1
3
1
1
1
1
1
2
1
2
24
5
2
1
2
8
4
4
1
1
3
39
2
2
2
1
1
1
1
1
1
3
1
1
1
9
2
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
6
2
4
1
1
1
1
1
3
2
1
1
2
3
1
1
1
1
1
1
1
8
1
2
1
1
1
1
1
1
1
1
1
2
1
6
1
3
4
1
1
2
1
1
4
1
1
3
4
1
1
1
1
1
5
1
3
1
1
2
1
15
2
2
3
1
5
1
6
1
1
1
1
1
4
1
15
1
1
1
1
3
1
2
4
1
1
2
1
1
1
16
4
1
12
1
1
1
2
1
1
1
2
1
3
3
1
1
2
5
5
4
1
1
1
1
4
4
3
5
3
1
19
1
2
2
1
1
2
1
1
2
2
2
2
1
3
1
1
1
1
1
1
1
14
1
1
1
1
1
2
1
1
1
5
9
3
10
3
1
3
1
1
1
1
1
1
1
2
1
44
1
2
1
2
7
2
2
1
1
1
1
1
3
1
4
1
4
3
3
1
1
10
1
1
2
1
1
6
2
1
1
2
1
1
1
2
1
2
2
1
1
1
1
4
5
1
1
1
2
3
1
1
1
1
21
1
1
1
5
1
1
2
1
1
2
3
1
2
1
1
3
2
1
7
1
1
1
1
1
1
16
1
1
1
2
3
1
2
1
1
2
1
7
7
29
10
1
1
1
1
35
2
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
2
1
5
2
17
1
65
3
1
2
1
1
1
2
1
1
1
1
1
3
2
354
1
1
3
1
1
1
25
2
1
1
2
1
3
18
8
2
2
1
1
1
1
2
1
1
1
6
2
2
3
1
5
1
2
1
1
1
3
8
1
1
2
1
1
3
5
1
2
3
4
1
1
6
2
1
2
1
1
1
1
1
1
5
1
1
1
1
15
1
1
1
1
1
2
1
1
1
2
1
1
1
9
5
1
1
1
1
1
1
7
4
1
1
1
1
1
7
1
2
1
1
1
3
6
1
1
3
4
1
1
2
1
3
2
1
2
1
1
1
1
1
10
1
2
1
3
1
1
2
4
1
2
1
1
1
1
1
8
1
1
1
1
1
2
8
1
6
2
4
1
1
1
1
3
1
2
1
2
1
2
2
1
5
1
1
76
1
1
2
3
1
1
1
1
1
1
21
1
3
1
1
2
2
1
1
1
1
1
1
4
1
1
3
6
1
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
12
3
5
1
1
1
2
1
1
1
3
1
2
1
5
1
1
2
2
1
1
1
1
1
3
1
3
1
6
13
1
2
1
1
1
6
4
3
1
1
4
1
1
1
3
1
4
4
2
2
5
1
2
1
2
2
4
13
11
4
1
1
28
1
2
2
2
3
4
1
2
1
2
1
14
4
2
2
1
1
4
9
3
1
1
1
8
1
2
1
1
37
1
2
1
4
1
1
1
2
1
2
3
228
1
1
1
3
2
510
1
7
1
1
2
10
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
2
2
1
1
2
1
2
1
1
2
1
5
2
1
4
1
1
2
2
1
5
6
1
1
1
5
1
1
3
2
3
2
1
1
1
1
1
6
3
1
1
113
33
1
1
2
1
1
2
1
4
1
1
2
3
1
1
1
2
1
1
1
4
4
2
1
2
1
4
2
1
1
7
5
12
2
2
1
1
1
1
6
1
1
1
1
1
1
2
4
2
1
1
1
1
1
1
3
2
1
1
2
2
1
3
76
12
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
19
1
3
4
3
2
1
1
1
8
1
1
13
1
3
5
1
3
1
5
1
1
3
1
1
1
1
8
1
1
1
1
1
1
5
4
2
1
3
2
3
1
1
7
9
1
3
1
2
1
3
1
11
1
1
13
1
2
1
1
1
1
1
1
1
1
4
1
3
1
1
2
1
7
2
1
3
1
1
1
9
3
1
1
2
6
1
1
1
1
2
1
1
1
1
11
4
1
3
3
2
3
1
1
1
4
2
1
2
1
17
1
1
1
5
1
2
1
1
4
1
1
1
64
1
1
50
2
1
4
1
2
1
2
2
3
1
1
1
44
1
1
1
1
2
1
1
6
1
1
2
1
1
1
1
1
1
1
5
3
1
1
6
1
1
2
1
1
3
1
1
1
3
4
1
1
1
1
1
1
6
1
1
4
1
1
2
1
1
4
1
2
1
1
3
5
1
1
630
4
1
1
27
2
3
1
1
2
1
1
1
3
2
2
1
1
1
1
1
16
4
1
1
1
1
1
2
1
1
1
3
1
1
6
1
1
1
1
1
8
1
6
1
1
1
1
1
1
1
1
5
1
1
2
1
3
3
1
1
2
1
1
1
1
2
1
1
1
2
4
2
1
1
1
1
1
7
1
3
1
1
1
1
1
3
2
1
1
2
2
1
12
3
1
1
3
2
8
1
16
3
18
1
3
1
1
1
1
4
1
1
4
2
39
2
2
1
1
2
1
4
1
1
1
1
1
1
1
4
6
8
3
2
1
1
2
2
2
1
9
25
2
4
1
1
2
1
1
1
1
1
1
2
2
1
1
1
5
1
1
1
3
5
2
1
1
3
3
1
1
11
1
1
1
1
2
1
1
1
7
1
1
1
1
1
1
6
1
5
1
3
1
1
8
1
1
1
5
1
1
1
2
1
1
1
1
1
2
11
1
1
3
2
3
2
5
1
8
1
2
47
8
1
1
1
8
2
5
1
4
3
2
7
1
1
1
10
1
2
15
4
1
1
2
15
2
2
1
1
1
1
3
1
1
1
3
2
2
7
1
1
1
1
1
2
1
1
4
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
32
1
13
2
1
4
4
1
2
1
6
1
1
2
1
1
1
1
1
3
6
2
4
10
1
1
2
2
2
1
12
1
2
1
2
2
2
1
1
1
1
1
2
66
1
1
1
1
1
1
2
1
7
1
1
2
1
3
1
4
1
1
1
1
1
3
1
5
1
4
2
8
1
2
1
4
1
1
1
1
1
1
3
3
2
1
10
1
1
1
1
1
4
1
1
21
2
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
5
1
1
3
1
41
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
60
5
4
6
3
12
2
4
1
2
1
1
1
5
1
2
1
1
1
1
1
2
1
1
2
1
2
1
2
10
4
3
2
6
3
3
1
2
1
2
1
1
1
1
2
3
3
2
1
1
3
3
1
1
1
1
5
1
2
2
1
1
2
1
1
1
28
6
7
3
2
1
1
1
1
5
1
8
1
5
1
2
1
12
1
3
39
2
1
1
1
10
1
1
1
1
2
1
1
2
1
105
3
4
2
40
1
1
1
1
1
1
3
637
3
2
9
10
3
1
1
4
4
1
3
1
1
1
1
21
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
2
3
1
7
1
2
74
3
3
1
1
3
8
1
1
1
2
1
1
5
4
1
3
2
1
1
1
2
3
20
1
7
1
1
2
1
1
3
42
4
1
1
1
2
2
1
3
1
1
1
1
1
1
2
2
1
2
2
1
2
1
1
4
1
1
1
1
2
1
7
9
1
1
1
6
1
1
1
9
2
3
3
2
3
1
1
14
1
1
13
9
2
1
1
1
1
1
1
102
3
10
1
1
1
1
1
1
12
1
2
2
2
1
1
1
1
2
1
2
1
1
2
4
3
1
1
1
1
2
2
2
2
1
1
1
1
2
2
3
3
2
1
1
2
1
1
1
1
1
5
2
1
2
1
87
4
1
1
4
2
1
1
1
214
2
2
2
2
1
1
2
1
3
1
1
1
42
2
1
4
1
1
1
2
1
2
2
3
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
2
1
1
1
1
1
5
9
1
1
1
1
1
1
1
2
1
2
2
1
1
1
3
1
1
4
19
1
2
2
1
5
1
1
9
1
1
1
3
1
1
3
2
3
2
2
2
2
1
1
1
2
3
1
15
4
1
1
1
12
9
2
8
2
1
1
3
14
1
4
1
1
4
1
1
1
1
1
3
1
1
1
1
2
14
3
1
2
1
1
17
5
3
81
1
1
12
1
1
1
1
1
2
1
6
1
1
2
1
2
6
1
1
2
1
1
4
1
3
35
3
1
2
1
1
7
4
1
1
1
1
1
1
1
1
1
3
4
3
1
1
1
2
1
3
1
1
4
1
5
1
1
1
1
2
1
3
87
1
4
1
2
2
3
1
4
1
2
13
1
1
1
1
1
1
1
2
3
3
1
1
1
1
4
1
1
1
2
2
1
1
1
1
1
2
1
4
1
3
1
1
1
1
1
1
96
2
2
2
1
1
4
2
1
14
3
1
2
1
2
1
1
1
1
3
1
1
23
3
2
1
2
3
1
1
1
4
3
3
6
94
1
3
6
1
3
5
1
1
2
1
2
1
1
2
1
4
1
2
1
3
1
1
2
1
3
1
1
1
9
1
2
1
3
3
1
11
3
4
4
1
1
1
14
3
1
7
1
1
1
2
1
1
5
1
2
1
1
1
17
1
10
1
158
5
4
6
2
3
6
2
2
1
1
1
1
2
1
3
1
1
1
2
1
2
54
3
1
1
1
3
5
1
1
1
1
1
9
2
8
1
24
1
1
2
1
2
2
13
2
1
1
1
1
1
1
5
6
1
3
1
1
2
2
3
1
1
1
1
2
1
1
10
3
1
1
1
7
1
1
2
1
1
1
4
1
2
4
3
1
1
1
1
1
1
1
1
1
6
2
1
2
1
2
1
2
5
1
1
1
1
3
6
7
2
4
3
1
1
2
1
7
13
1
2
1
1
2
1
2
1
1
1
1
1
5
1
2
1
1
3
17
1
2
2
1
1
2
1
1
2
1
1
1
15
1
1
11
1
1
1
2
1
1
8
1
2
34
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
41
1
1
1
2
1
1
55
1
1
2
3
1
2
1
11
1
1
1
1
1
5
1
1
2
43682
2
3
1
1
2
1
1
1
2
7
1
2
1
1
164
2
2
1
1
1
5
4
2
7
1
3
1
1
1
1
1
4
1
14
1
5
1
2
1
1
4
5
1
1
1
1
1
1
1
1
9
1
25
1
5
1
1
1
3
1
1
1
1
2
1
3
4
2
1
1
3
1
1
1
2
1
1
1
1
3
1
1
1
1
6
1
1
5
2
2
1
1
2
1
1
1
1
2
2
2
1
2
2
2
1
2
1
1
3
1
2
1
5
3
7
2
2
3
1
1
1
1
3
1
1
1
1
6
1
1
4
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
1
1
2
3
2
1
3
1
35
1
1
2
2
8
2
4
3
10
13
3
4
2
2
2
2
5
2
3
5
1
2
3
1
1
1
1
1
1
2
1
1
42
1
1
2
2
1
2
2
1
1
5
1
1
1
21
1
1
1
1
1
1
2
1
1
1
1
4
1
4
1
2
3
2
1
8
1
1
3
1
1
1
1
5
1
213
1
1
1
1
1
6
1
1
1
6
5
7
1
1
4
1
1
12
14
1
5
2
1
5
1
1
2
1
5
2
1
12
3
2
1
1
1
1
1
3
5
4
1
1
1
1
2
1
15
15
1
1
1
1
1
2
2
4
5
2
19
2
2
1
1
1
2
2
1
1
1
16
3
4
25
3
1
6
1
1
35
5
3
2
1
1
1
1
2
1
1
3
1
1
1
1
3
1
1
1
1
5
7
5
1
3
1
1
3
1
1
1
1
1
2
1
1
1
7
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
3
1
2
1
1
1
4
2
2
1
1
1
1
7
1
1
2
1
3
7
2
1
3
1
1
2
1
1
3
104
91
9
2
139
2
1
182
1
2
6
2
1
1
1
1
38
1
1
1
1
2
1
1
1
1
5
1
1
10
4
1
1
2
1
3
1
1
71
1
1
4
5
4
4
8
3
1
1
1
1
1
1
1
10
1
1
1
1
1
2
1
2
1
1
1
1
2
3
2
2
1
4
1
1
1
1
3
1
2
2
2
1
1
2
2
1
1
1
1
2
1
1
83
1
1
3
3
3
1
1
2
1
2
7
1
1
7
1
13
2
3
1
1
1
4
1
3
1
1
3
1
1
1
1
3
1
1
1
32
7
3
3
1
1
5
11
2
1
2
1
2
1
1
1
99
1
3
5
3
6
1
1
1
1
4
1
6
1
2
3
3
1
1
1
1
1
1
3
32
1
1
1
2
1
1
4
3
1
1
1
3
47
2
1
2
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
2
3
2
1
1
2
1
3
13
10
4
3
1
1
1
1
1
1
1
163
1
1
1
1
1
2
1
5
2
1
1
2
1
1
1
1
322
2
1
4
3
1
1
1
1
2
1
1
1
1
15
1
1
1
1
1
3
3
1
2
11
8
1
2
2
1
1
7
2
1
1
1
1
1
1
1
1
3
5
2
1
2
1
2
1
3
1
17
4
1
1
3
1
2
1
1
2
2
1
2
2
1
1
1
1
1
1
14
2
1
1
2
2
14943
2
4
3
1
10
3
4
1
1
1
2
2
1
3
1
1
1
1
1
1
1
1
2
3
1
1
12
1
1
2
1
1
7
1
1
6
1
1
16
1
1
1
3
1
2
1
2
1
1
1
1
183
1
32
1
6
1
1
9
5
1
1
3
1
1
1
1
1
1
5
2
1
2
1
1
2
1
2
1
5
1
1
3
2
2
3
1
1
1
1
8
2
4
1
1
46
251
97
27
2
3
1
1
4
1
1
1
1
1
1
2
1
4
12
13
1
1
2
1
2
62
1
1
24
7
2
1
1
1
1
1
1
13
3
1
2
1
1
1
12
1
1
1
1
2
8
2
3
7
2
3
1
1
1
2
1
2
1
6
1
5
4
2
1
1
3
2
1
11
1
1
1
2
3
1
42
3
1
1
1
1
1
3
6
1
2
3
18
8
5
1
1
3
1
1
8
1
3
3
7
1
1
3
1
2
1
1
1
3
1
1
5
2
1
1
3
35
1
1
1
1
1
1
9
2
1
6
1
2
1
2
1
2
1
192
2
1
1
2
2
2
4
1
4
1
2
1
1
4
1
1
1
1
1
1
3
2
12
1
2
2
1
1
1
45
2
1
1
1
1
1
2
1
4
2
1
6
3
59
1
1
2
7
1
53
1
1
1
1
1
1
3
2
1
1
22
3
1
1
1
1
1
1
1
1
1
1
2
1
4
10
1
1
7
2
1
1
11
1
1
5
2
1
67
1
1
1
1
1
1
1
2
1
2
8
7
4
1
1
1
2
4
4
22
1
1
1
1
6
1
1
8
18
1
1
3
1
1
2
2
1
1
3
5
1
1
1
2
1
27
1
2
1
1
1
2
2
1
1
3
1
1
4
1
1
1
21
8
2
4
1
1
1
45
2
7
5
2
2
1
1
1
1
1
1
1
1
1
1
1
19
1
1
2
1
1
1
1
1
7
2
1
1
2
1
28
1
1
1
1
2
68
1
1
1
2
1
1
2
7
3
1
1
1
1
3
7
1
1
1
1
40
1
1
5
1
1
6
2
1
1
1
1
3
1
1
1
2
1
1
1
3
4
1
3
1
2
1
1
1
1
3
1
1
6
1
2
1
214
2
1
1
1
2
1
2
1
1
1
3
1
2
1
1
1
3
1
2
2
1
1
1
4
1
1
1
1
3
1
1
1
3
79
14
1
1
1
1
1
1
1
4
2
1
2
85
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
5
1
1
1
1
1
1
1
4
1
2
1
1
1
1
24
4
1
1
1
2
2
1
3
2
1
1
5
11
5
2
1
1
1
1
2
3
1
20
3
2
2
1
1
2
2
7
2
2
2
1
2
1
1
2
2
1
1
1
2
1
1
1
10
1
4
1
18
2
1
1
1
1
1
1
1
1
2
1
4
2
1
1
1
1
5
1
2
4
1
1
1
1
1
1
1
12
2
4
2
1
1
1
2
1
2
1
1
1
1
3
1
1
1
1
5
3
1
3
1
7
1
1
1
1
1
1
1
1
1
1
2
2
1
8
1
2
1
1
1
2
1
1
1
3
1
1
2
50
3
1
1
1
1
2
4
1
2
1
6
5
1
1
1
1
3
1
1
1
2
1
1
4
1
1
1
1
1
5
1
20
2
1
11
2
3
1
3
2
1
2
1
18
3
2
1
5
1
1
1
8
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
5
1
1
1
1
1
1
1
4
1
1
1
2
2
1
8
5
7
1
6
3
1
4
2
3
1
4
1
1
3
1
4
1
1
1
1
56
439
1
1
3
1
1
5
2
1
1
1
2
2
4
2
1
1
11
1
3
3
2
1
2
1
1
2
1
2
2
1
1
5
142
1
5
1
1
1
27
1
2
1
1
7
1
1
1
4
1
1
1
1
3
4
1
1
21
1
1
1
1
3
1
2
1
1
2
1
3
3
1
1
1
2
3
1
1
1
2
3
2
1
3
4
1
16
2
1
3
1
28
1
1
1
3
3
25
32
1
1
1
1
14
16
1
1
1
1
3
4
1
1
1
1
5
1
1
1
1
3
1
1
6
16
2
1
3
1
1
6
1
4
1
1
1
6
1
12
2
5
7
2
1
1
1
1
1
1
41
1
2
2
2
1
3
1
4
1
6
2
1
1
1
1
8
1
2
1
1
2
3
2
1
2
1
1
2
1
2
1
1
2
3
1
1
1
4
1
1
1
3
2
2
12
1
2
1
1
1
1
1
2
1
2
2
2
1
3
2
1
1
1
8
1
1
1
1
1
5
5
16
1
1
1
1
4
3
1
1
2
1
1
1
3
2
1
10
1
1
1
2
1
2
1
1
1
2
1
1
3
1
3
2
1
5
2
1
1
1
1
1
4
1
1
1
1
1
1
1
2
2
3
1
3
1
60
4
11
2
1
1
2
2
1
1
1
1
1
1
1
5
1
3
12
1
7
2
1
1
3
5
1
2
1
29
1
1
2
1
3
2
3
12
1
2
2
2
3
1
2
1
1
1
1
1
3
2
1
20
2
4
1
3
2
5
1
2
2
1
1
1
5
1
1
1
1
1
5
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
3
24
1
2
2
2
2
12
19
1
23
1
1
6
3
1
1
3
2
1
2
1
2
57
3
1
2
1
1
1
1
2
5
2
1
4
116
125
1
5
1
1
2
1
3
1
6
6
1
1
3
1
1
2
1
1
271
6
14
1
1
2
10
9
1
4
1
1
2
2
1
3
2
1
2
2
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
3
2
1
3
1
1
1
7
1
1
1
1
3
2
1
4
1
1
1
1
1
2
1
1
1
2
1
2
1
4
1
1
1
2
1
2
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
1
2
5
2
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
2
1
1
1
1
5
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
1
2
1
1
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
1
4
3
1
2
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
1
1
1
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
2
1
4
2
1
1
1
1
2
1
1
1
3
1
2
4
1
1
2
1
1
2
1
1
1
1
2
2
1
1
1
1
2
1
1
2
6
3
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
5
4
1
1
1
1
1
1
3
2
1
3
1
1
1
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
1
1
1
1
1
4
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
5
1
1
2
1
2
2
1
1
1
1
1
1
3
1
2
4
1
1
4
3
5
1
1
2
2
4
1
3
1
3
2
2
1
1
2
2
1
3
1
1
1
3
2
1
2
2
2
10
1
2
1
1
2
1
3
3
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
1
2
1
7
1
2
1
1
1
1
1
1
1
3
1
1
3
1
2
1
4
1
17
2
1
1
1
2
1
1
1
2
1
5
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
4
1
2
2
1
1
2
1
2
1
3
1
1
1
1
2
1
1
1
3
1
3
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
1
2
1
3
4
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
1
1
4
3
1
2
1
1
1
1
2
1
3
1
2
1
2
1
1
1
1
1
7
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
4
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
1
1
2
2
2
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
2
1
2
2
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
2
2
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
2
2
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
73
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
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
4
2
3
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
2
1
1
1
3
1
1
3
2
2
1
1
1
1
2
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
2
2
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
2
1
14
1
2
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
4
1
1
1
2
2
2
1
3
1
3
1
3
1
1
1
2
2
1
29
1
1
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
2
2
4
2
2
2
1
1
1
5
2
1
376
12
8
1
1
1
2
1
6
9
3
2
3
1
1
1
1
1
1
21
1
1
1
1
1
1
2
50
10
1
1
2
1
2
1
1
2
3
1
3
4
26
10
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
15
1
1
1
1
1
1
908
5
2
1
1
26
1
8
1
1
1
11
1
3
1
1
2
2
1
1
2
3
3
5
5
1
5
1
1
2
1
3
2
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
7
2
7
10
1
2
2
2
2
1
2
1
1
1
1
1
3
1
2
3
4
3
2
2
1
2
1
1
6
1
1
1
2
2
2
1
2
1
1
2
1
14
2
4
1
3
3
3
1
4
1
2
1
1
1
1
4
1
1
1
1
1
1
1
6
1
1
2
2
2
1
2
1
1
1
2
1
1
1
1
2
2
1
1
3
1
1
1
9
1
1
1
1
5
1
1
1
1
3
1
1
2
2
1
1
2
1
4
3
1
1
1
1
67
2
1
1
1
1
1
1
3
2
1
3
1
2
4
2
2
1
5
1
1
1
2
1
1
2
1
4
5
1
1
2
2
1
1
1
7
2
1
4
3
8
1
1
1
2
1
1
1
1
2
1
1
2
5
1
1
1
1
6
8
1
6
9
1
2
3
2
1
1
1
1
4
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
2
1
1
5
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
2
1
2
5
1
1
34
3
1
1
13
1
1
1
2
2
6
2
2
1
1
1
2
3
1
1
12
1
1
1
3
1
1
2
1
1
2
3
5
2
5
1
2
1
2
1
5
7
110
41
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
3
2
4
1
1
1
1
2
68
2
8
10
3
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
351
1
1
37
1
1
1
3
2
5
6
1
1
2
2
1
1
1
1
1
1
1
1
2
1
39
1
4
1
2
1
1
2
6
1
1
10
2
5
2
1
1
1
2
1
1
1
2
9
4
5
1
1
6
4
2
5
1
2
3
2
3
1
1
1
3
3
1
8
2
1
1
1
1
1
1
1
1
1
1
2
3
5
5
1
1
1
2
113
3
1
1
1
1
1
2
3
2
1
1
268
1
2
1
1
1
3
1
4
1
2
2
2
2
6
2
1
7
1
2
6
2
1
2
1
1
1
2
1
1
6
8
4
1
2
1
1
1
2
1
2
1
4
10
2
1
2
2
1
2
1
1
6
1
1
7
1
1
1
5
1
2
11
1
2
4
9
11
1
1
1
1
6
2
10
1
11
3
2
1
5
1
1
2
1
2
2
1
2
13
4
1
5
6
1
1
1
1
2
2
4
1
1
1
5
1
16
1
3
4
3
1
4
9
5
1
18
1
2
1
1
1
2
1
1
1
2
1
1
1
5
2
19
2
3
2
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
2
4
2
1
2
1
1
2
1
2
2
4
2
1
1
1
1
1
2
1
8
1
16
6
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
11
5
1
2
1
1
1
1
1
4
1
1
2
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
2
1
2
1
1
3
2
2
2
3
1
1
1
2
1
3
1
1
1
7
1
2
1
1
3
1
1
1
2
1
26
2
1
6
1
44
1
1
3
1
2
1
1
7
2
1
1
1
1
1
1
3
1
4
2
1
1
1
18
4
2
1
1
1
1
1
4
3
1
1
1
1
1
7
1
2
1
1
9
6
9
1
1
2
1
9
1
1
1
1
1
6
1
1
3
1
1
5
1
2
1
2
2
1
1
1
1
1
1
1
6
1
8
1
1
2
4
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
8
1
2
2
1
1
1
1
1
1
1
1
16
1
2
1
1
2
2
1
1
4
2
2
1
2
2
1
6
1
2
1
1
1
1
1
1
3
1
3
1
1
4
1
1
1
4
1
1
1
1
50
7
1
1
2
5
1
4
1
1
2
1
1
1
2
3
1
5
1
1
1
3
2
9
2
1
1
1
1
1
1
1
1
2
8
1
2
1
5
1
2
1
1
5
2
1
1
1
1
2
2
4
1
1
4
2
1
1
2
4
1
1
2
1
3
1
1
1
3
2
2
1
1
4
1
2
3
1
6
1
1
1
3
1
2
7
3
1
1
1
2
1
1
2
1
2
1
1
1
1
4
1
1
35
1
2
1
1
11
2
2
1
2
1
2
1
2
1
1
2
1
2
1
1
1
2
1
1
1
2
1
1
1
2
1
1
2
1
10
2
1
1
1
1
3
1
1
4
1
2
1
2
1
2
2
1
3
1
1
1
2
1
7
1
4
1
90
1
1
2
4
6
2
1
4
3
1
4
1
3
2
1
1
1
1
1
1
1
3
1
1
2
1
8
30
15
3
1
10
1
1
3
1
1
1
1
1
2
1
2
3
1
1
4
7
2
1
2
2
14
8
3
1
2
1
1
3
3
1
1
1
3
1
3
3
1
2
1
1
1
1
1
1
2
11
4
2
6
1
2
1
1
1
1
2
3
1
1
1
1
1
1
3
3
1
1
27
16
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
3
3
1
4
7
11
1
18
5
1
1
77
1
2
2
1
17
4
1
3
4
3
3
1
1
7
1
1
1
1
1
1
1
1
1
1
13
4
1
1
1
1
2
1
1
4
1
2
2
2
1
2
1
1
1
3
1
2
2
1
1
2
1
1
3
1
1
1
2
1
3
1
5
5
41
4
3
2
4
2
3
1
9
1
16
1
25
13
1
2
2
1
3
1
3
1
1
1
4
1
1
1
2
1
6
2
7
2
1
2
5
1
2
3
1
1
1
2
1
1
7
1
1
2
1
4
2
6
8
1
3
4
1
1
1
1
1
5
4
8
2
7
1
1
3
3
6
1
2
2
1
4
3
3
12
1
2
2
1
2
4
2
12
8
1
1
2
1
1
1
4
1
8
1
1
12
2
2
1
5
1
2
2
5
2
1
1
1
2
1
4
9
1
2
1
3
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
2
2
2
1
22
2
1
1
1
1
10
2
84
17
10
1
2
5
1
1
3
2
1
1
10
2
1
1
1
3
1
1
1
6
1
1
1
12
5
1
2
1
2
1
1
3
2
2
3
32
12
1
1
1
2
9
1
7
3
1
1
20
7
1
3
1
1
3
2
1
1
2
1
1
1
1
1
9
1
1
1
4
1
1
6
1
1
2
1
1
1
1
3
1
1
4
42
2
63
1
1
1
1
2
1
1
1
1
11
2
1
1
4
1
4
3
2
6
1
1
1
1
1
3
1
6
1
5
3
10
1
2
1
7
1
2
1
1
2
1
2
1
6
2
7
11
4
1
5
1
5
2
20
2
2
2
1
2
8
1
1
1
3
3
1
1
3
1
1
1
2
5
15
1
2
41
4
3
3
8
1
2
9
1
1
1
1
1
2
2
5
21
1
4
3
7
5
1
1
1
1
3
1
2
1
4
1
1
8
1
2
1
2
1
5
1
3
5
5
30
8
1
2
1
1
1
2
2
1
122
1
3
13
1
1
1
8
2
1
1
1
8
4
1
1
1
2
11
1
7
1
1
1
1
1
8
1
1
1
3
2
3
1
1
1
1
4
2
1
3
1
1
1
4
1
1
6
1
1
1
9
13
3
3
3
1
1
3
1
3
39
3
1
1
27
6
4
3
1
1
1
1
1
9
1
1
1
6
6
2
1
1
1
1
7
7
1
1
1
1
4
4
1
1
1
1
3
5
5
5
2
1
1
18
2
1
7
10
1
1
1
2
7
2
1
1
1
1
2
2
2
1
1
1
2
1
1
1
24
1
1
2
2
2
2
1
1
5
1
2
1
10
3
36
2
2
1
1
2
1
1
1
1
3
1
1
5
8
1
3
3
2
4
4
2
1
3
1
1
3
1
1
1
3
1
1
1
6
4
1
3
13
1
1
6
7
1
1
1
6
2
3
2
1
1
1
5
1
1
1
1
1
1
1
3
1
2
8
2
1
4
2
1
1
18
2
2
1
1
1
1
1
9
2
2
11
1
3
1
5
2
1
1
1
10
1
2
1
1
2
7
1
1
1
1
2
1
1
3
1
2
2
3
1
2
2
1
1
1
3
1
14
1
1
250
1
1
1
2
30
1
1
2
1
1
1
1
7
1
1
1
2
1
1
23
7
1
1
1
3
1
2
1
1
1
7
2
1
3
1
2
1
2
1
1
3
1
9
15
1
2
1
81
22
1
1
1
6
1
1
1
1
2
1
2
1
1
1
1
1
3
5
2
1
2
3
6
4
2
1
1
1
3
3
1
2
3
3
9
4
2
12
1
139
1
2
2
6
3
2
2
3
2
1
1
22
1
3
4
6
3
2
2
15
3
3
3
7
4
4
2
1
1
1
1
2
4
3
1
2
1
20
1
1
91
1
8
3
1
3
4
5
1
1
5
1
1
7
1
1
1
3
4
522
1
2
10
1
6
1
3
2
2
5
1
9
1
1
1
6
2
2
1
6
1
1
12
3
4
5
2
5
1
2
1
1
5
1
13
1
2
1
1
3
1
1
1
1
17
1
6
1
2
2
2
3
1
1
12
2
1
3
1
8
1
1
2
3
3
2
1
4
3
1
1
5
1
1
7
1
1
1
1
1
8
1
5
1
1
2
3
4
3
1
3
2
1
1
42
1
1
2
2
1
2
8
31
2
1
3
1
1
2
1
4
1
1
1
1
3
1
1
1
