1
1
1
1
1
6
4
2
17
1
40
20
1178
4
1
1
2
5
2
2
11
5
13
1
2
1
109
39
3
1
1
6
9
13
4
16
3
3
1
1
4
1
4
19
56
7
2
1
1
2
72
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
2
1
1
1
4
2
1
78
1
2
1
1
9
1
1
1
1
6
1
1
2
2
1
4
4
1
1
17
2
1
1
1
1
1
1
1
2
1
1
4
1
1
3
1
3
1
1
1
1
1
1
5
1
1
1
1
1
5
3
23
1
1
1
1
3
1
1
1
1
2
2
1
13
4
2
1
4
1
1
1
1
4
2
1
22
1
2
1
1
2
1
2
1
2
3
1
1
1
4
2
1
1
1
1
1
1
1
1
1
4
2
1
11
2
1
1
4
1
2
12
2
2
10
7
9
1
1
1
1
1
4
1
4
4
3
1
1
1
1
5
1
2
1
1
1
1
1
3
7
1
4
1
1
11
1
1
7
14
15
1
1
1
1
4
2
1
1
2
1
1
1
1
3
1
2
1
2
2
33
3
1
1
2
1
1
1
33
1
1
20
1
1
2
8
1
3
3
1
1
1
16
3
1
1
3
2
1
1
3
1
13
2
17
1
4
2
1
1
1
4
1
1
13
1
1
1
3
4
1
2
1
3
1
2
2
1
3
1
1
2
5
1
1
1
1
4
3
2
1
1
1
1
1
1
4
1
1
31
4
1
2
1
1
2
2
5
2
1
2
6
1
1
1
3
13
3
5
3
1
1
15
1
1
87
1
1
1
1
1
4
2
1
2
1
1
1
1
1
1
2
4
2
5
6
3
2
2
1
1
1
22
3
1
2
1
1
1
1
4
1
1
1
231
2
1
18
1
1
2
1
2
1
2
8
2
7
1
2
10
6
1
1
1
1
36
1
1
1
1
1
1
1
1
4
4
3
2
1
22
1
1
1
1
3
1
20
1
1
1
1
160
2
1
1
1
1
1
1
11
1
1
1
1
2
1
2
1
1
2
1
2
1
1
1
1
1
1
2
1
7
5
1
92
1
4
1
3
2
1
1
20
1
21
1
1
1
1
2
1
2
1
2
1
1
2
4
1
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
1
9
1
14
1
3
23
1
1
279
21
1
1
2
4
3
3
4
1
1
3
1
6
1
1
2
8
1
1
1
3
2
2
2
1
1
3
3
2
1
6
3
1
4
2
3
1
1
1
8
1
1
1
1
2
6
3
1
5
4
1
1
1
1
3
2
9
1
1
7
2
3
1
1
4
1
1
4
1
3
1
1
3
1
1
1
2
1
2
1
3
668
2
11
3
1
7
1
1
8
2
1
1
1
2
1
13
2
1
2
5
1
2
1
1
3
1
1
15
1
2
1
1
3
1
5
1
4
1
1
1
3
1
1
1
50
6
53
2
3
9
2
1
2
1
1
1
1
1
3
1
58
1
1
1
1
2
10
1
2
1
3
1
1
3
1
1
6
1
1
2
1
3
1
1
1
2
1
1
7
2
1
3
1
1
1
1
1
1
1
1
1
1
2
12
2
1
1
1
1
2
1
2
8
1
1
1
1
2
1
1
6
7
89
1
3
1
1
2
1
1
1
6
2
5
8
2
2
2
1
1
1
1
3
6
1
13
1
1
3
2
2
1
2
17
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
4
1
1
1
1
1
1
2
1
3
2
1
1
2
1
1
3
1
1
64
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
37
145
1
1
2
1
1
1
1
1
10
10
1
2
1
1
1
1
3
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
3
1
3
1
1
1
1
2
2
4
3
1
1
2
1
2
3
1
1
1
5
1
1
1
3
2
3
1
1
1
1
1
3
1
1
2
1
2
2
1
1
1
3
1
1
2
3
4
1
2
5
1
1
29
4
8
1
5
1
1
1
1
116
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
8
1
1
1
1
1
8
1
1
6
4
3
41
2
1
193
1
2
1
1
1
1
1
1
17
2
2
1
1
1
7
1
1
1
2
1
3
3
11
3
2
1
1
1
20
4
1
3
1
1
5
1
1
1
1
2
1
1
1
2
2
1
1
2
2
2
1
1
1
5
1
1
1
2
6
3
1
1
2
2
1
1
1
1
5
1
1
1
1
7
5
5
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
1
1
5
1
4
1
7
1
9
3
3
2
5
1
1
1
1
1
2
2
1
18
1
1
2
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
2
7
1
2
7
1
6
2
1
1
1
7
2
2
1
1
1
1
1
2
1
2
1
1
2
1
1
5
1
2
1
1
1
1
5
1
11
2
3
2
1
1
3
1
1
15
28
27
26
24
2
3
24
1
1
1
1
1
1
2
1
4
7
1
83
2
1
35
1
1
2
2
1
4
1
1
1
4
1
1
4
2
6
7
7
1
7
1
1
1
1
1
2
5
1
13
1
4
1
8
21
2
1
1
1
1
1
1
1
1
2
1
3
4
7
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
36
2
1
2
1
1
5
6
2
1
1
1
2
1
1
1
4
2
2
2
1
1
1
2
1
2
5
1
1
1
1
4
1
4
1
1
16
14
2
1
1
1
1
2
2
3
1
1
1
1
1
1
3
1
1
1
1
1
21
14
1
1
1
1
3
2
1
29
1
1
5
1
1
1
1
31
1
1
1
2
1
1
1
4
2
1
4
1
4
1
2
1
3
5
2
1
3
2
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
8
1
2
1
1
1
1
1
1
2
1
1
1
1
2
38
2
7
1
1
1
1
1
1
1
1
1
1
10
2
2
2
1
1
1
1
3
1
9
1
3
1
2
2
4
1
1
1
1
3
2
1
1
1
2
1
2
1
6
2
5
1
2
47
1
2
6
2
8
1
6
1
1
7
2
12
1
1
1
2
1
1
1
2
3
3
1
1
1
3
1
2
25
6
1
7
1
1
2
1
1
2
1
1
1
1
1
1
1
2
3
1
2
1
3
1
1
1
1
1
1
3
1
1
3
1
3
3
1
6
4
1
2
1
1
6
1
2
1
1
1
1
2
2
2
1
1
1
1
7
1
2
1
1
1
1
1
1
12
2
1
2
1
1
1
5
2
1
1
1
1
2
1
2
2
7
2
1
1
1
1
1
13
6
1
1
2
1
1
2
1
5
1
20
1
1
1
5
1
2
1
1
3
2
1
1
1
1
1
1
3
5
7
1
1
1
1
1
1
2
6
3
1
1
5
1
4
1
1
1
1
1
2
1
4
1
3
1
2
1
5
1
2
1
1
1
1
1
3
1
2
1
14
1
1
5
1
5
1
1
1
2
1
1
3
3
2
1
1
4
3
10
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
4
4
1
3
2
6
4
2
27
2
1
1
1
2
8
1
27
1
1
2
2
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
2
2
2
2
1
1
3
1
1
1
1
1
1
5
1
6
2
25
1
1
59
2
1
1
1
1
2
2
1
2
2
1
1
1
1
3
2
263
1
3
1
1
1
1
2
35
2
1
2
1
6
1
1
2
1
3
12
1
16
4
2
1
1
1
3
1
1
2
2
1
1
1
1
1
1
3
4
3
1
3
1
5
1
1
4
7
2
2
1
1
1
5
1
2
3
1
1
1
2
1
2
1
4
1
1
2
4
2
1
1
1
15
1
1
1
1
3
3
1
1
2
1
1
6
3
2
1
1
1
3
2
8
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
6
1
1
5
4
1
2
2
1
1
1
2
1
3
4
1
13
2
1
1
3
2
1
1
2
2
1
2
1
2
1
1
1
2
1
1
1
1
8
2
1
1
1
2
1
1
1
1
9
6
1
3
1
1
1
1
1
1
1
1
3
1
1
2
21
1
1
1
1
1
2
3
1
1
56
1
1
2
1
1
3
1
1
1
1
5
18
2
1
1
4
1
1
3
1
1
1
2
1
4
1
3
1
1
1
2
1
6
6
1
1
1
2
1
1
1
8
8
3
1
1
1
1
1
3
1
15
2
4
5
1
2
1
1
2
1
1
1
3
1
1
1
2
1
1
3
1
1
1
3
1
1
2
1
2
1
1
1
3
3
14
1
13
2
1
2
1
1
1
1
1
1
1
1
1
1
3
1
4
1
1
1
5
8
1
2
1
1
1
3
2
3
1
2
2
1
7
1
5
6
1
1
1
1
33
1
2
2
1
1
20
1
5
1
1
1
1
1
1
1
14
2
1
3
2
1
1
1
1
1
1
2
8
2
1
12
1
3
2
24
1
1
1
1
14
1
2
1
2
187
1
3
1
6
2
557
5
1
1
1
12
1
1
2
1
1
3
2
1
1
1
1
2
1
1
2
1
3
1
1
1
4
2
3
2
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
4
9
1
1
1
7
1
1
9
3
1
4
1
1
1
1
1
6
117
29
6
1
1
1
1
1
1
1
8
1
1
1
4
4
1
2
2
4
2
1
4
1
1
1
9
5
1
3
2
2
2
1
1
1
9
2
4
4
1
1
1
1
1
8
1
1
1
1
1
1
1
2
2
1
1
1
2
3
2
2
2
1
1
1
1
1
2
1
2
1
1
1
17
72
1
2
12
1
1
1
1
1
1
1
2
33
1
1
3
3
1
1
1
4
1
1
3
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
21
1
2
7
1
4
7
2
1
5
1
2
4
1
1
1
1
7
1
1
1
1
1
2
1
1
1
2
1
5
4
2
1
1
1
1
1
1
1
1
1
3
5
2
3
1
2
2
5
1
3
1
2
3
1
1
1
2
1
3
1
2
2
7
1
2
11
4
1
1
1
1
1
5
7
1
2
1
1
1
2
3
1
1
1
3
2
3
3
1
1
1
1
2
4
2
4
7
1
3
1
2
3
1
2
1
4
1
6
3
2
1
1
7
1
1
1
1
3
2
4
3
1
3
1
1
1
1
3
1
1
1
2
1
4
3
1
8
1
1
4
1
1
85
48
2
1
1
1
1
1
3
1
3
1
2
2
1
3
1
25
1
1
1
2
1
2
1
8
5
3
1
1
1
1
1
1
7
1
5
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
4
1
1
6
1
1
1
5
9
1
3
4
1
2
4
1
2
603
2
5
1
3
1
1
5
1
2
1
1
1
1
1
1
2
1
2
2
14
6
1
1
1
1
1
2
3
1
1
1
1
2
1
1
4
1
4
2
1
1
2
1
1
3
1
4
1
1
1
10
1
1
1
1
1
7
1
2
1
3
3
3
1
1
2
11
2
1
1
3
1
1
1
2
1
1
4
27
2
1
1
2
1
5
1
1
1
1
1
2
2
1
1
1
1
7
1
1
1
2
1
4
1
1
2
1
2
1
2
3
22
7
1
1
2
2
1
1
1
1
1
37
4
1
1
2
1
2
2
1
3
1
1
1
2
1
1
3
5
38
3
10
1
3
3
1
1
1
2
1
3
1
23
1
1
1
1
1
7
2
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
2
3
3
1
1
2
2
1
3
1
1
2
1
32
1
1
1
8
2
2
3
1
2
1
2
1
1
1
7
1
1
1
1
1
1
3
2
9
5
1
4
4
2
5
1
2
1
4
2
1
2
1
4
1
1
1
5
1
1
3
3
1
1
1
1
1
1
1
2
2
1
7
3
60
9
1
2
1
4
8
6
1
3
4
1
1
1
1
3
2
1
1
1
1
1
18
3
1
2
1
1
1
1
1
7
1
2
3
1
1
1
1
10
2
1
1
6
4
1
1
1
2
1
1
1
1
1
1
1
2
2
1
2
94
5
1
2
1
8
7
2
1
7
1
2
5
2
1
2
2
2
9
4
1
3
1
1
6
1
1
5
1
4
1
1
1
2
3
1
2
1
1
1
2
1
1
2
1
1
1
113
1
4
2
1
1
1
1
1
54
1
1
1
2
1
1
2
7
4
6
3
7
1
1
11
2
1
1
1
1
2
1
1
1
5
4
1
4
3
3
3
1
3
2
1
3
3
5
1
1
1
3
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
3
1
1
1
6
1
1
3
1
13
2
2
1
1
4
1
1
1
2
1
1
4
1
1
1
1
1
66
5
8
12
3
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
1
2
1
4
1
1
2
2
8
5
1
8
3
1
1
1
1
3
1
1
3
2
2
1
4
1
3
4
4
2
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
3
1
39
6
5
1
1
1
1
4
3
4
1
1
4
2
3
1
1
21
2
5
35
1
3
1
14
2
2
1
1
3
1
1
2
5
91
2
1
3
5
1
30
1
1
1
1
1
1
3
1
1
3
597
2
1
7
7
2
1
3
7
1
2
1
1
6
1
1
13
2
1
1
1
2
1
1
3
1
3
1
1
1
2
1
1
1
1
2
2
1
1
1
2
1
1
3
4
1
5
2
3
1
3
1
2
92
2
1
3
2
8
4
2
2
1
1
2
2
3
2
24
6
1
1
1
3
47
11
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
7
2
2
1
1
1
1
1
1
1
1
3
1
1
1
1
2
6
8
1
1
1
3
1
1
1
1
1
3
2
3
3
1
1
1
3
1
10
3
2
1
2
6
1
11
4
2
3
2
131
4
1
5
1
1
1
1
1
2
1
6
1
1
1
1
1
3
1
1
4
4
1
1
3
1
1
1
1
1
1
1
1
3
1
4
1
1
1
1
1
1
2
1
1
4
1
2
1
1
1
104
1
1
1
4
1
263
2
1
1
2
2
10
1
3
1
1
1
45
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
5
1
3
1
1
1
1
2
1
1
1
1
3
2
2
2
4
1
13
1
1
1
2
1
2
1
1
3
1
1
1
1
1
1
1
33
1
1
1
3
4
1
3
2
2
1
1
5
2
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
4
1
2
23
2
3
4
1
9
8
4
3
2
1
6
4
1
1
1
1
6
2
12
1
1
3
2
1
1
1
2
1
1
2
4
1
1
1
5
2
17
1
1
2
1
1
12
2
1
65
5
1
1
1
2
2
1
1
1
1
9
1
1
2
1
1
1
1
2
1
2
2
1
1
1
2
3
1
1
1
1
1
9
1
23
2
2
2
4
5
1
2
1
1
1
2
2
1
4
3
1
1
1
3
1
3
1
1
9
6
1
1
1
2
1
2
1
2
1
1
6
1
1
2
1
1
1
1
2
2
1
55
4
1
1
1
3
5
5
7
1
1
1
4
3
1
1
1
2
3
2
2
4
1
1
1
2
2
1
1
1
1
1
1
3
1
88
1
1
3
3
1
1
2
2
3
15
9
1
3
3
1
1
3
1
2
1
1
2
2
1
1
1
8
2
2
1
1
1
1
1
1
1
1
6
1
3
6
102
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
2
1
1
4
6
1
1
1
1
1
6
4
1
1
1
4
1
2
3
1
1
15
4
5
7
1
2
16
11
7
1
1
1
1
2
1
1
1
2
2
3
1
1
1
1
1
1
13
2
1
5
1
177
4
1
1
1
2
3
5
4
1
3
2
7
1
1
1
1
1
1
1
1
1
1
2
1
1
5
2
1
60
1
1
1
4
2
4
3
2
1
1
1
3
1
1
1
6
10
2
6
3
1
5
2
17
1
1
2
1
1
1
3
8
1
1
1
10
4
1
1
2
1
1
1
1
2
1
1
1
5
1
1
2
1
4
3
2
1
6
3
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
5
2
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
4
8
1
4
1
3
1
2
2
1
2
2
2
8
1
1
1
1
1
1
1
1
3
1
1
2
3
8
1
1
1
1
1
1
1
1
1
3
31
1
1
1
1
1
1
1
1
1
2
3
1
2
1
4
13
1
1
10
9
1
1
1
1
1
1
2
1
3
1
6
41
3
1
1
1
1
4
1
1
1
2
3
1
1
1
2
3
1
1
1
1
35
2
1
4
1
56
1
1
1
1
1
1
1
2
1
1
1
44
1
1
1
1
1
1
18
1
1
1
1
48432
1
1
1
2
1
1
1
1
2
1
2
1
1
3
1
9
1
1
4
1
153
1
6
3
1
1
1
2
6
1
1
10
1
1
1
1
1
1
1
2
19
2
1
9
1
1
1
4
2
1
1
200
1
28
1
1
8
1
1
4
2
2
1
25
1
2
1
4
1
1
1
1
4
1
1
1
1
1
3
6
1
2
3
1
2
2
2
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
4
1
11
2
1
1
4
1
1
1
1
1
1
1
3
2
4
1
1
1
1
2
1
2
1
1
1
1
4
1
1
1
1
3
2
1
1
3
1
1
3
2
30
1
1
8
11
2
4
3
12
1
3
7
3
2
1
1
1
2
4
1
1
1
1
1
2
6
2
2
2
1
1
2
1
1
3
1
10
1
1
2
1
2
4
2
1
1
32
1
2
6
3
2
1
1
2
4
2
12
1
2
2
4
1
2
2
2
2
4
3
1
1
2
2
1
4
2
1
1
1
7
1
6
1
1
1
1
2
1
5
232
9
1
1
1
1
4
2
3
2
7
4
1
1
1
4
5
4
1
2
1
1
1
1
14
3
1
5
1
3
1
1
1
1
5
1
1
17
2
1
1
1
1
1
1
1
3
1
2
1
2
17
12
4
3
1
1
1
1
7
8
3
17
1
1
1
1
1
2
1
2
1
1
1
1
5
42
2
6
1
1
35
2
2
1
5
1
1
2
31
1
1
3
2
1
1
2
4
1
8
1
1
2
1
6
1
1
13
2
5
2
1
1
1
1
2
1
1
1
1
4
2
2
3
2
2
1
1
1
3
2
1
1
2
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
2
1
1
2
3
5
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
2
96
89
9
1
17
188
177
4
5
1
1
32
1
4
2
1
2
4
1
2
1
4
7
1
1
5
1
1
1
59
2
1
1
1
1
1
1
1
1
7
7
1
1
1
9
1
1
1
1
2
1
1
1
2
1
1
1
3
2
1
1
1
1
1
1
1
3
2
2
5
3
2
1
2
1
1
2
1
2
1
1
1
2
2
1
1
1
1
2
2
1
163
364
1
1
1
2
1
2
1
1
3
3
1
4
1
2
1
1
2
4
8
1
1
5
3
15
3
2
1
3
5
1
2
2
1
2
1
1
3
1
1
2
1
2
1
1
1
1
55
2
15
2
1
3
1
1
5
1
3
1
1
1
1
1
1
1
1
1
91
1
4
10
1
6
1
1
1
3
2
1
1
1
5
6
3
1
1
1
1
1
1
1
1
2
30
2
1
1
2
1
4
1
3
6
3
1
1
36
1
1
1
3
2
1
1
3
1
2
1
2
1
3
1
1
1
2
1
1
1
3
4
1
3
1
1
1
4
3
3
1
8
1
1
1
1
2
12
24
6
3
1
1
1
1
1
1
1
7
1
1
1
248
1
1
1
1
1
1
1
1
1
1
287
2
1
3
2
3
3
15
1
1
10
2
4
1
1
2
2
7
8
3
1
2
1
3
1
1
2
1
1
1
3
1
2
1
2
8
2
1
1
1
1
1
12
1
1
14
5
1
1
6
1
2
2
1
3
1
3
1
1
1
1
1
15
1
13
1
6
1
11278
2
1
2
1
5
1
5
2
1
1
1
1
1
2
1
2
3
1
1
7
3
5
7
1
9
2
1
1
2
1
13
1
1
1
2
3
5
1
2
2
1
3
155
4
1
30
1
1
7
3
2
2
1
11
2
5
1
1
1
3
1
1
1
1
1
1
4
1
1
1
1
1
1
2
5
1
1
1
2
1
4
1
1
1
2
1
1
1
1
5
1
1
1
1
53
296
98
33
1
1
1
1
4
1
1
2
2
2
1
5
1
1
4
1
1
1
1
10
8
1
2
3
3
2
2
1
1
1
2
64
1
1
2
1
33
6
2
1
2
1
19
1
2
2
1
1
1
2
1
2
1
9
2
3
1
1
1
15
2
1
5
2
8
1
3
4
7
1
5
2
2
1
1
8
2
2
2
10
2
1
1
1
1
43
1
1
2
1
1
7
1
1
1
3
18
13
1
1
1
3
2
4
7
3
2
1
2
1
1
1
1
5
1
4
2
1
2
2
2
1
33
2
1
5
3
2
1
3
1
2
4
1
1
1
1
4
1
1
1
194
4
5
2
1
1
5
2
1
8
1
4
1
2
1
1
1
1
2
1
1
16
2
2
1
5
1
1
3
39
1
1
1
4
1
1
1
1
4
1
2
63
2
1
5
1
2
1
8
1
43
1
4
1
2
1
1
4
1
1
2
1
3
2
2
2
1
1
1
1
34
1
1
2
1
1
1
1
1
1
2
1
1
1
2
2
1
2
1
1
1
2
14
1
2
1
1
6
1
2
13
3
3
1
35
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
2
1
1
1
35
1
3
7
3
16
14
1
1
1
1
1
1
2
1
5
1
1
1
1
1
35
1
1
1
2
1
1
1
1
1
17
3
4
1
1
2
2
1
36
2
9
2
4
1
2
1
2
1
1
1
1
1
2
1
1
1
17
2
2
1
1
1
1
1
4
3
1
4
15
1
4
1
1
2
1
2
1
59
2
1
1
1
1
1
1
1
3
1
1
2
1
6
4
1
4
1
1
1
1
1
22
2
1
1
1
1
4
4
5
3
2
2
1
1
1
2
5
1
3
1
1
1
1
47
5
1
1
219
2
2
2
1
2
2
1
1
1
1
2
1
1
1
2
1
4
1
1
1
1
1
4
3
3
1
4
2
1
1
2
76
17
2
1
1
1
1
1
2
2
1
51
1
1
1
1
4
1
1
1
1
1
1
1
3
2
2
1
3
1
1
1
2
1
1
1
1
2
1
1
2
1
2
1
1
29
1
2
2
1
1
8
2
2
3
1
1
1
6
4
1
4
3
1
1
1
16
2
3
1
1
3
1
1
4
1
2
3
4
1
1
1
8
1
1
1
1
1
9
1
2
4
8
2
1
1
1
1
1
3
1
2
1
3
1
2
1
1
4
1
1
1
1
2
1
1
1
1
2
2
2
1
1
1
4
1
1
1
1
2
2
1
1
5
2
5
1
4
1
2
1
14
1
1
1
1
1
1
1
1
1
2
1
3
1
3
2
9
1
1
1
1
2
2
1
1
1
1
2
1
50
3
2
1
1
1
1
2
1
1
1
2
1
1
3
4
1
1
2
2
1
1
1
1
1
1
1
1
4
2
1
5
4
1
1
3
1
3
5
1
23
8
2
1
1
3
1
2
1
1
18
6
6
2
3
2
1
11
1
1
1
1
4
1
1
1
1
2
2
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
3
1
1
1
1
5
1
1
1
2
4
1
12
1
14
2
7
1
8
4
1
1
1
3
4
1
4
1
1
1
1
1
1
49
415
1
1
1
1
1
1
5
2
3
5
1
1
1
1
2
1
3
7
1
6
5
1
2
1
3
1
1
1
1
2
3
1
3
1
184
1
3
1
1
28
10
1
1
2
5
3
1
1
1
3
1
1
1
1
1
2
2
22
1
1
1
1
4
2
3
1
1
1
2
1
6
6
2
1
3
1
3
5
1
5
8
1
3
1
3
2
1
1
1
4
1
10
3
1
1
1
36
1
1
4
2
6
24
1
1
30
1
1
1
1
19
16
1
2
1
1
1
1
2
2
1
1
1
2
1
5
2
3
1
1
1
5
1
4
4
29
1
3
2
3
2
3
7
1
2
5
1
3
3
7
3
2
1
4
1
1
16
1
1
1
3
2
1
4
1
1
7
1
6
1
7
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
2
1
1
1
2
9
1
1
1
1
2
1
1
1
1
1
1
3
1
1
2
3
1
2
1
1
7
1
1
1
1
1
3
7
5
19
1
1
6
1
2
1
1
1
1
2
1
1
2
1
6
7
1
4
3
2
1
1
1
6
5
3
1
6
1
1
1
1
1
1
1
3
1
1
3
1
5
6
1
1
1
2
1
1
1
1
65
1
1
3
1
8
1
1
1
2
1
2
1
1
2
6
3
1
2
1
3
1
1
1
4
4
1
1
2
2
1
27
4
2
1
1
1
2
4
1
3
1
1
8
1
1
3
5
3
2
1
1
3
1
1
1
26
2
2
1
3
1
2
3
1
1
1
2
3
1
2
1
2
1
1
2
1
3
2
1
2
1
2
1
1
1
10
3
4
2
1
10
2
3
16
1
1
12
12
1
1
1
15
1
1
1
4
1
20
2
6
1
1
1
1
1
1
1
2
1
3
2
3
4
344
120
1
3
2
1
5
1
4
3
1
2
1
420
2
9
3
1
2
2
1
1
6
6
2
6
1
1
1
2
1
1
1
6
1
4
4
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
3
2
1
2
1
5
2
1
3
3
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
4
1
3
1
1
1
2
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
3
1
1
1
1
2
2
1
1
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
2
1
1
1
1
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
3
1
3
1
1
5
1
1
1
6
2
1
2
2
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
5
4
1
5
1
3
2
1
1
2
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
2
1
3
2
1
1
2
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
9
1
1
1
1
1
1
1
3
1
1
1
1
1
3
3
4
2
1
1
1
2
1
2
3
1
1
2
1
1
2
4
1
1
2
1
1
1
1
1
1
1
1
6
3
1
1
1
1
6
1
3
1
1
1
1
2
1
1
3
2
1
1
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
2
1
1
1
1
1
1
4
1
2
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
2
1
1
1
1
4
1
1
1
1
1
4
1
3
1
1
1
1
1
2
2
2
1
1
1
5
5
5
3
3
2
3
2
6
1
3
1
1
2
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
2
2
4
1
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
4
1
1
4
1
1
1
1
7
1
2
1
2
1
1
2
2
1
1
3
1
1
1
3
1
1
3
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
2
1
1
1
4
1
1
3
1
1
1
2
1
1
1
1
1
1
2
1
2
1
5
1
1
2
1
1
1
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
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
4
1
1
7
1
1
1
1
1
1
1
1
1
1
2
1
2
3
5
3
1
1
1
2
1
1
1
1
3
1
3
5
1
2
5
1
1
3
1
1
1
1
1
2
1
1
2
1
1
2
3
1
1
1
1
1
2
1
1
2
3
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
2
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
3
2
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
1
2
1
3
1
2
1
1
1
1
4
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
2
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
3
4
1
1
1
1
1
1
2
1
1
1
4
1
3
1
1
1
1
1
1
1
3
1
1
1
4
2
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
2
1
1
1
1
2
1
1
1
1
4
1
1
1
1
93
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
2
1
1
1
2
1
4
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
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
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
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
2
1
4
2
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
12
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
10
1
8
1
1
2
2
4
2
1
1
1
2
1
1
1
2
1
1
1
2
27
1
1
2
2
1
3
1
1
1
1
1
1
1
7
1
1
2
1
1
2
5
2
1
1
1
1
6
1
2
4
2
1
4
1
1
5
1
1
1
1
5
4
1
345
15
9
4
2
2
1
3
5
1
2
4
2
1
2
1
14
1
1
2
1
1
1
1
3
1
1
55
4
6
2
1
1
1
1
1
2
1
1
1
1
1
3
4
1
3
25
8
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2
22
1
1
2
1
1
3
2
1
884
3
1
5
2
3
20
1
1
1
11
1
1
1
22
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
3
12
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
5
1
1
1
2
1
9
4
7
1
1
1
2
1
1
3
1
1
1
5
5
2
2
1
1
1
2
2
1
2
6
2
2
1
1
1
1
1
1
10
1
1
1
1
1
2
3
1
3
2
1
2
2
5
1
3
1
2
10
6
2
1
1
1
4
2
1
1
2
7
2
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
3
1
1
2
1
2
1
1
2
5
2
1
1
1
1
1
1
1
4
3
7
1
1
1
1
1
6
1
3
1
3
1
5
2
2
1
1
1
3
2
1
1
1
3
1
1
37
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
7
1
1
1
1
6
4
1
2
3
1
2
1
1
2
1
2
4
7
2
1
3
1
1
1
3
1
11
2
1
1
4
14
1
1
1
1
2
1
1
4
1
1
1
5
3
2
1
6
11
1
9
1
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
1
3
3
1
7
2
3
5
1
274
3
1
1
3
2
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
2
1
1
1
1
8
9
1
1
1
1
1
1
16
1
1
1
2
1
1
2
1
1
1
3
1
3
1
1
2
1
1
1
2
3
2
1
1
7
1
1
1
1
3
1
1
1
1
7
1
1
2
1
1
1
1
1
1
1
1
1
1
12
5
130
49
1
3
3
1
1
1
1
2
1
1
2
1
1
3
4
1
4
1
1
1
1
57
1
1
1
6
4
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
2
2
1
1
2
1
1
413
5
2
30
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
2
1
1
1
28
2
1
3
2
1
1
2
2
1
1
3
1
9
1
4
1
1
2
1
1
2
1
4
1
1
1
1
5
1
1
1
2
1
9
7
8
3
2
1
7
1
1
1
4
1
1
7
7
1
4
1
4
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
2
1
182
2
1
2
1
1
4
182
1
1
3
4
1
1
6
6
4
1
5
1
2
2
8
1
2
1
1
1
2
4
1
1
1
1
1
2
1
1
1
5
6
1
1
1
1
1
2
2
1
1
2
4
3
1
1
1
1
1
7
2
1
1
2
3
1
6
1
3
1
1
2
1
3
1
3
2
2
1
3
2
2
1
1
1
24
6
1
1
2
2
1
1
1
1
8
2
2
1
12
3
1
1
1
3
1
2
6
4
6
4
1
6
1
3
1
1
1
1
2
1
2
2
1
1
2
3
7
21
1
4
1
4
2
1
13
14
2
9
5
1
1
1
1
1
1
8
1
1
1
13
1
5
2
3
1
2
2
1
2
2
2
1
1
1
1
1
1
1
2
3
2
1
2
2
1
1
1
1
2
3
1
5
2
1
3
2
1
1
2
1
1
1
1
1
1
1
12
2
3
4
1
2
1
4
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
16
11
2
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
2
1
1
1
6
2
1
2
2
1
1
2
1
1
3
1
1
3
3
1
2
1
2
1
1
2
1
1
2
1
1
3
1
4
1
2
22
3
4
1
24
2
3
1
1
6
1
2
1
1
1
3
2
20
3
1
1
1
1
1
1
1
1
2
1
1
2
4
3
1
2
6
1
1
1
1
1
1
1
2
7
2
3
6
1
3
1
1
1
1
1
1
9
1
2
1
1
2
1
6
3
1
1
5
12
3
2
1
2
1
3
1
1
1
1
1
1
1
1
3
1
6
2
7
1
2
1
2
2
1
2
1
1
1
1
1
1
6
1
1
2
1
2
1
1
3
1
1
1
1
1
1
2
2
6
1
2
3
3
1
3
1
2
30
1
2
1
1
1
3
1
6
1
4
1
1
2
1
3
1
4
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
2
2
9
1
2
1
2
1
1
4
16
4
1
1
2
2
4
1
1
2
1
1
8
3
1
2
1
1
1
1
1
1
3
2
1
1
4
1
1
1
1
1
1
7
2
1
1
1
2
5
1
7
1
1
1
2
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
2
4
1
1
2
1
1
1
1
1
6
1
3
1
1
4
1
1
2
2
6
1
1
3
2
4
1
1
1
1
4
1
2
4
1
3
3
1
8
1
3
2
1
2
9
1
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
6
3
1
1
3
1
5
1
1
1
2
2
4
1
1
2
1
1
1
1
1
1
3
1
1
9
1
1
1
75
1
1
3
1
8
2
1
1
1
1
9
1
2
1
1
3
6
2
1
1
1
1
1
1
1
1
2
1
1
1
25
2
1
7
2
1
4
1
12
1
1
1
2
2
1
2
1
2
3
1
1
1
2
2
2
1
4
14
2
1
3
1
1
1
1
1
17
5
1
1
2
3
1
3
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
16
3
6
1
1
1
1
7
1
1
2
1
1
1
2
1
1
34
23
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
4
1
2
1
1
1
1
1
1
8
9
1
3
3
4
64
1
4
2
5
12
1
4
5
1
3
1
1
1
1
1
6
1
3
1
1
1
1
2
17
3
1
2
1
1
2
1
1
2
3
1
4
2
4
1
2
1
6
2
1
2
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
4
1
1
1
9
8
1
58
1
1
1
1
2
2
1
2
1
2
2
2
9
18
1
1
21
15
1
1
2
1
1
1
1
1
1
1
4
1
2
1
1
1
2
2
1
6
5
3
3
1
3
1
1
1
2
4
3
1
1
1
1
1
1
2
1
1
6
2
4
6
1
1
1
1
2
1
1
8
3
4
1
3
1
10
1
1
1
4
1
5
2
2
1
2
2
10
1
1
1
2
1
5
1
1
5
1
5
3
1
1
1
1
5
1
2
1
1
2
8
1
1
1
1
1
1
1
2
2
1
2
2
1
1
9
1
1
1
1
1
1
2
2
1
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
4
1
31
1
1
1
1
1
2
2
2
16
3
1
125
26
5
29
1
2
1
3
2
5
1
8
42
1
1
2
3
1
1
1
1
9
2
1
1
1
1
2
6
7
1
7
1
6
7
1
1
1
1
1
1
1
1
1
1
20
4
2
1
1
1
1
2
1
2
1
1
1
3
6
7
2
42
31
18
1
1
1
6
1
3
3
1
5
1
1
1
2
1
1
1
1
1
1
6
1
1
1
2
1
4
2
4
1
2
3
1
1
1
1
1
3
1
1
34
5
90
2
1
1
1
1
1
4
2
4
1
2
1
1
4
1
2
1
1
1
1
1
1
4
1
1
1
7
9
2
1
2
8
1
1
4
1
2
4
2
1
3
1
1
1
5
1
1
4
6
1
11
1
1
1
1
1
1
5
1
1
22
2
1
6
1
1
1
1
1
1
3
3
1
1
6
1
2
2
3
1
1
2
1
12
4
1
23
4
4
7
1
3
1
4
1
1
10
14
1
1
3
8
1
2
2
1
1
4
1
1
7
2
2
5
1
2
1
3
1
1
1
3
1
2
1
1
2
1
5
5
1
2
1
3
1
1
1
4
1
2
3
1
2
4
6
1
86
7
2
8
1
2
1
5
5
1
2
8
2
1
4
2
1
2
1
1
1
1
1
1
13
3
5
3
1
1
2
10
2
5
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
5
1
7
1
12
4
2
1
4
2
2
4
2
45
2
6
23
2
3
7
2
1
1
3
3
1
1
3
1
1
1
1
6
2
1
1
3
8
7
2
1
1
5
1
4
6
1
1
2
3
5
1
1
4
12
6
5
1
1
2
1
1
1
5
2
1
1
1
1
1
3
1
1
1
1
1
7
1
1
1
1
1
1
2
1
2
10
1
1
2
1
1
4
1
51
3
2
1
1
1
10
3
4
4
2
1
2
9
1
1
6
4
2
1
7
2
1
1
1
2
4
3
1
1
1
2
1
2
11
3
2
1
1
5
12
1
15
1
3
1
1
6
3
1
3
7
7
4
1
1
3
1
1
1
2
12
6
1
2
3
1
5
5
4
1
2
2
3
7
5
1
1
10
1
6
1
2
7
1
1
2
1
3
1
1
2
2
1
1
1
1
1
2
1
1
1
3
199
3
1
3
44
1
1
1
1
1
2
1
4
1
5
1
1
1
1
1
1
22
1
7
1
1
3
2
3
2
1
2
2
5
1
1
1
1
2
3
3
1
1
1
3
1
1
1
5
2
9
1
3
3
1
1
90
29
1
11
1
1
1
4
1
1
2
1
2
7
1
1
1
2
3
1
3
6
1
1
1
2
5
1
2
1
1
1
2
2
2
13
2
13
3
215
4
1
1
4
2
2
5
2
3
1
1
1
16
4
6
1
8
2
3
1
1
1
1
2
3
1
3
1
4
1
1
5
1
3
4
3
1
1
1
1
1
3
1
2
2
2
15
1
1
55
2
4
1
3
1
1
1
1
1
2
2
1
2
1
1
1
1
7
2
1
429
2
1
1
1
1
2
14
3
1
8
1
8
2
4
2
2
11
1
2
2
3
3
1
3
1
1
2
5
1
1
1
2
9
4
4
5
2
1
2
2
3
1
3
1
1
1
1
1
2
4
1
1
1
11
1
1
1
1
2
2
1
32
2
7
1
2
1
1
8
1
1
1
1
2
5
1
1
1
1
2
1
2
1
7
1
1
1
2
5
1
1
1
4
1
1
1
1
1
3
9
8
1
1
1
1
1
2
1
2
5
1
2
1
2
1
1
1
1
32
3
1
1
2
18
1
3
1
1
3
1
1
1
2
2
1
1
1
1
4
1
