5
1
5
2
1
1
1
1
3
1
21
2
44
6
1184
5
1
1
2
2
3
8
8
6
20
1
3
128
37
1
2
1
2
5
5
3
9
2
12
2
4
1
4
1
23
50
2
3
6
2
1
1
1
1
1
1
1
65
1
1
1
1
1
1
1
2
1
1
2
1
3
3
2
2
3
1
1
1
1
2
1
1
1
2
2
1
85
2
1
1
1
1
14
2
2
1
1
5
3
1
1
1
1
2
1
5
1
4
1
5
21
8
1
1
1
2
2
1
2
1
2
2
1
3
1
1
2
3
3
2
4
2
1
1
1
2
3
1
6
3
1
1
1
1
19
1
1
1
2
1
1
1
1
4
1
3
9
2
1
2
1
1
7
1
1
1
12
3
1
2
1
2
1
1
1
3
2
4
1
3
1
2
1
1
1
1
1
1
1
2
1
20
2
1
2
1
1
1
1
1
18
1
1
1
1
3
8
1
6
2
1
2
2
3
5
4
1
2
4
1
1
1
2
1
1
2
2
6
8
6
6
1
4
2
6
1
1
11
3
16
16
1
1
1
1
1
3
3
1
2
1
1
2
3
1
2
1
1
32
4
2
1
3
1
29
2
1
1
1
15
1
1
2
1
4
2
28
4
1
1
1
1
1
2
3
1
2
2
10
3
1
1
9
1
3
1
1
3
1
1
1
1
1
1
8
1
1
1
1
4
3
1
2
2
2
1
5
2
2
1
2
1
6
2
1
1
1
3
3
1
1
1
2
1
2
2
1
41
7
2
1
1
1
2
2
1
1
6
1
1
3
7
1
1
1
1
1
2
1
8
1
8
3
1
1
2
2
1
2
11
1
106
1
1
1
1
2
1
1
2
1
1
1
1
7
1
9
3
3
1
1
1
17
2
1
2
3
1
1
1
1
1
1
1
1
1
201
1
1
6
2
1
1
1
1
1
2
2
1
1
5
1
5
1
3
2
40
1
1
2
1
2
1
2
1
26
2
1
2
2
1
2
1
2
1
2
1
22
1
1
1
1
1
2
1
2
1
152
1
1
2
3
1
1
1
1
2
1
8
2
2
3
1
3
1
1
5
3
3
1
3
1
1
2
1
2
1
1
1
1
2
1
1
4
8
88
2
9
1
1
22
1
1
28
22
1
2
1
3
2
1
1
3
1
4
3
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
17
1
2
12
2
2
15
258
23
1
6
4
1
2
1
1
1
1
3
1
1
1
2
4
1
10
6
1
1
1
2
1
1
2
2
3
2
2
4
2
3
1
1
1
4
1
1
2
13
1
2
2
1
1
2
1
7
1
1
2
2
1
2
4
1
2
3
1
1
1
1
1
1
1
5
1
1
1
1
2
3
1
1
1
2
6
1
1
3
1
1
1
8
1
1
2
3
1
4
2
1
1
2
3
1
3
698
2
8
2
2
5
2
2
2
2
5
10
1
2
1
1
2
3
1
3
1
15
1
1
1
1
1
1
4
2
1
2
1
1
4
1
2
4
1
1
2
57
4
4
36
3
17
1
1
1
1
2
2
61
3
2
1
1
1
7
1
1
2
3
2
1
3
1
2
1
1
4
2
3
3
1
1
5
2
1
1
3
5
1
1
2
1
2
1
2
1
1
1
6
1
1
2
1
6
1
1
1
1
1
1
1
9
1
1
2
1
1
1
1
1
1
1
1
1
1
7
1
1
148
1
1
5
1
2
4
3
1
8
2
1
1
2
1
2
1
1
1
1
1
1
1
3
8
1
1
1
2
1
1
16
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
3
4
1
2
1
1
1
1
1
2
1
1
1
1
2
1
2
74
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
30
131
1
1
1
1
2
3
5
1
1
11
5
1
1
2
1
3
6
5
3
2
1
1
2
5
1
2
2
1
2
1
1
2
2
3
1
1
1
1
1
3
2
2
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
4
1
4
6
31
1
5
14
2
3
5
1
1
116
1
2
1
2
1
1
1
2
1
1
1
5
1
1
1
6
1
1
2
1
1
1
1
8
8
1
3
1
1
5
42
6
1
167
1
1
1
2
1
12
2
1
3
1
4
1
6
2
2
1
1
1
1
2
1
1
3
1
1
1
5
3
1
2
1
2
16
4
1
3
2
1
3
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
13
1
3
1
2
1
1
1
2
9
8
3
1
2
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
2
2
3
1
1
1
1
1
2
2
2
5
1
1
1
4
2
4
2
2
11
1
3
1
3
6
4
1
1
1
18
1
1
1
2
2
1
1
1
7
2
2
5
1
2
1
1
1
1
1
1
1
1
1
10
1
1
2
1
3
1
11
3
1
2
1
1
2
3
1
1
1
1
1
1
1
3
1
1
1
2
2
2
1
2
1
6
2
1
3
2
1
1
4
1
1
5
1
1
4
8
1
2
2
2
3
1
1
5
1
14
34
1
28
14
28
1
22
2
7
40
1
4
1
5
1
1
1
1
1
4
1
5
11
5
80
1
1
1
1
32
1
1
1
1
1
2
1
1
3
2
1
6
2
1
1
1
1
4
7
7
10
1
2
1
1
1
1
1
1
6
2
1
13
3
1
1
1
1
16
1
19
1
2
2
2
1
2
1
1
1
2
12
2
1
1
1
3
1
1
2
1
1
2
1
1
1
1
43
1
2
1
1
1
4
7
6
2
2
1
1
1
3
1
1
2
1
1
1
2
1
1
5
1
2
1
2
1
4
1
1
15
1
1
1
1
15
2
1
5
1
4
2
1
1
1
1
2
1
5
1
1
1
1
3
2
1
1
2
1
17
22
2
1
1
2
1
20
2
11
2
1
1
2
36
1
7
3
3
5
1
1
1
1
1
1
1
6
2
5
6
1
1
2
6
1
1
1
1
1
3
2
1
4
5
1
1
1
1
2
1
1
1
1
1
1
3
3
1
2
2
4
1
1
1
2
1
2
37
1
1
4
1
1
1
1
1
1
1
7
1
1
1
1
2
2
1
3
2
3
2
3
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
3
1
1
4
5
4
6
1
2
1
1
1
1
2
42
1
3
6
1
1
7
2
3
1
1
5
2
11
1
1
1
1
1
3
2
2
2
1
1
1
23
5
2
2
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
3
1
1
1
1
2
3
4
2
2
2
1
12
2
2
1
1
1
1
1
1
1
1
4
2
1
1
1
1
1
1
1
12
1
9
3
2
1
3
1
2
3
2
3
1
1
2
3
9
1
3
3
1
6
6
1
3
3
5
1
1
1
2
2
1
1
3
24
2
1
1
1
2
3
2
3
1
3
5
1
3
4
2
2
1
1
9
9
1
2
2
2
2
1
1
5
1
1
1
7
1
1
2
1
2
1
1
1
1
3
5
1
1
1
2
1
3
1
1
1
1
3
9
1
2
1
1
1
3
2
1
3
1
1
17
1
1
3
1
2
3
1
1
1
1
1
1
1
2
1
1
1
1
2
8
6
1
2
1
1
1
1
3
1
1
6
2
1
4
1
1
1
3
1
2
2
2
4
1
1
1
8
2
1
1
1
10
32
3
1
1
1
1
2
1
10
1
1
2
42
2
1
1
1
1
1
1
1
1
1
1
2
2
2
2
1
1
5
1
1
2
2
1
2
1
1
1
4
1
3
3
1
23
36
1
4
1
2
1
1
1
1
1
1
1
1
3
1
1
2
1
234
1
1
1
1
3
3
2
1
2
13
22
1
3
1
2
5
1
1
1
2
1
1
4
17
1
1
1
1
1
1
12
5
4
1
1
1
2
2
1
2
2
1
1
4
5
2
1
2
1
1
1
9
1
1
1
1
2
3
3
3
1
1
1
3
2
1
1
1
3
6
5
2
1
7
1
1
1
1
1
2
2
2
2
4
3
1
1
1
5
2
2
19
1
1
1
1
2
1
1
1
2
1
1
7
2
2
3
1
1
3
2
10
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
10
2
1
1
1
3
3
1
1
1
1
2
3
2
3
1
3
1
1
1
2
1
1
1
2
10
2
3
3
1
1
2
2
1
1
3
1
3
10
1
2
1
1
1
1
2
1
6
4
1
1
2
2
1
1
1
2
1
38
2
3
2
1
1
4
1
1
2
2
29
1
3
1
1
3
2
1
2
1
4
1
21
1
2
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
3
2
1
4
1
1
1
3
3
2
1
2
1
1
1
2
9
8
1
1
1
2
1
22
2
1
5
6
2
1
1
2
1
2
1
1
3
2
2
6
1
1
1
1
1
1
2
1
3
4
1
1
3
10
1
1
5
1
1
1
1
1
2
8
4
2
8
1
1
3
1
1
1
3
2
1
5
1
1
1
3
1
1
2
1
5
1
3
7
1
1
1
1
1
1
1
37
1
3
5
1
12
1
1
1
6
1
1
1
1
1
2
7
1
1
2
3
1
1
1
1
1
1
1
1
1
1
4
4
1
11
3
1
1
1
31
1
2
1
1
1
1
17
1
2
1
6
1
4
1
3
1
195
3
1
1
1
1
2
1
1
2
1
1
1
555
11
1
1
1
3
2
1
1
1
5
1
4
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
3
1
2
1
1
2
1
5
6
2
1
3
2
1
2
1
3
5
3
3
2
3
1
1
1
1
104
41
2
1
1
1
1
1
1
1
1
1
9
3
2
1
1
1
3
3
3
2
1
2
1
1
3
3
1
1
4
1
1
1
1
1
1
4
1
1
3
2
2
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
2
1
2
1
1
1
1
2
3
1
2
1
1
16
82
13
1
2
1
1
3
2
28
1
1
1
1
1
5
1
1
1
3
1
1
1
1
2
1
1
4
2
3
1
2
1
1
1
16
2
1
1
1
10
1
1
1
5
1
1
1
8
1
2
2
1
11
1
1
1
2
1
2
1
1
2
3
1
1
1
2
1
1
1
1
5
1
1
1
2
7
2
3
5
7
1
1
5
1
1
4
1
1
1
1
9
1
4
2
2
1
1
1
1
2
13
3
1
1
6
1
1
1
3
2
2
2
1
1
2
3
1
4
1
2
2
1
1
2
2
3
1
1
5
1
1
2
2
10
2
1
3
2
8
2
1
2
1
15
1
1
1
2
1
2
3
1
1
2
2
1
1
1
1
4
1
1
7
1
1
1
2
1
2
6
1
3
1
1
1
1
67
29
2
2
1
3
1
1
1
3
1
1
1
6
2
1
1
24
1
1
1
1
1
1
1
3
1
1
1
3
1
2
1
3
3
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
2
1
1
1
4
1
1
1
2
3
8
1
1
4
2
1
1
1
4
1
1
3
643
1
2
1
8
1
1
1
2
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
21
2
4
1
1
1
1
1
2
1
2
1
2
1
4
1
5
5
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
9
1
1
2
1
1
17
1
1
2
1
1
4
1
5
2
2
9
1
2
4
1
1
1
2
1
1
1
1
24
1
4
1
1
4
1
1
1
1
1
2
1
6
3
1
6
2
1
1
2
1
2
1
1
1
1
3
30
2
9
1
2
3
1
1
28
2
1
2
1
1
4
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
2
2
3
10
1
1
1
1
1
1
1
1
6
1
19
1
1
1
1
1
2
1
1
2
1
3
1
1
3
1
4
1
1
2
1
2
1
1
1
1
5
3
1
1
1
36
1
2
1
1
10
1
3
1
1
1
6
1
4
2
3
2
2
1
2
1
1
4
4
1
3
2
2
1
1
2
7
8
4
1
2
1
1
1
1
1
5
1
1
1
2
1
3
2
3
2
7
2
2
1
1
3
1
5
2
1
51
6
1
1
1
1
1
6
1
3
5
1
1
2
5
2
7
2
1
1
3
1
16
1
1
4
1
1
14
2
1
1
3
1
1
1
1
2
10
1
1
1
1
1
1
2
9
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
98
2
1
8
4
1
1
1
6
2
1
1
1
1
1
3
4
4
1
1
1
1
1
2
1
1
2
1
2
8
5
5
1
1
5
5
1
1
4
1
3
1
1
14
1
2
2
1
1
3
1
5
1
1
78
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
63
4
1
3
1
1
9
1
5
2
5
1
1
6
1
1
1
1
1
1
1
2
2
3
1
1
7
1
1
1
2
1
1
1
7
1
2
1
1
1
5
1
4
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
2
14
3
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
54
3
7
8
1
1
6
2
2
5
5
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
2
1
1
5
4
17
8
2
6
1
3
1
2
1
1
4
1
1
4
2
1
1
1
3
1
3
1
2
4
2
1
1
3
1
1
3
1
1
2
1
1
1
5
43
3
5
2
1
2
3
1
2
6
2
2
1
2
2
2
1
1
13
1
5
32
2
1
1
18
1
3
1
2
2
2
1
1
1
1
2
79
5
4
1
15
1
1
1
1
1
1
6
618
1
1
1
3
1
3
3
1
2
1
1
1
2
6
3
1
1
1
1
1
1
8
2
1
3
1
1
1
2
1
1
1
2
1
5
1
1
1
2
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
3
1
4
1
102
1
2
2
3
4
3
4
1
2
2
2
2
1
2
3
20
5
1
2
1
10
34
2
1
2
3
1
5
1
1
1
1
1
1
1
2
5
3
1
3
2
2
1
2
1
2
1
1
1
4
3
1
1
1
1
1
1
4
5
1
1
1
1
1
2
4
1
6
1
6
1
1
1
6
1
1
1
1
17
1
5
6
2
1
1
117
3
4
1
9
6
1
1
4
1
2
1
1
1
2
4
3
1
1
1
2
1
3
2
2
1
1
3
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
2
1
2
5
1
1
3
1
1
1
1
121
1
1
2
2
3
1
1
2
1
229
1
1
4
1
2
1
4
2
5
1
1
1
2
1
1
46
3
8
1
2
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
4
1
1
3
1
1
2
2
1
1
2
1
1
1
1
4
1
3
1
2
4
1
1
1
5
3
1
5
11
1
1
1
1
1
1
1
1
4
2
1
1
1
2
2
37
1
1
3
1
2
2
1
3
1
1
1
1
3
3
3
1
1
1
2
2
2
1
2
1
1
2
5
3
2
1
1
26
3
1
2
1
1
12
7
3
4
1
1
1
1
2
11
4
2
1
1
4
3
1
9
1
1
1
1
1
2
1
1
5
3
1
1
5
3
2
2
1
2
14
1
2
1
1
16
4
49
3
5
1
1
1
1
1
1
1
1
13
1
1
2
1
2
1
2
1
1
1
1
1
1
2
1
4
1
2
1
1
2
1
21
14
3
3
2
1
1
2
3
5
1
1
1
1
1
3
1
2
1
1
3
1
2
1
1
2
1
3
1
2
1
1
4
3
2
1
9
1
2
1
1
1
3
1
1
3
48
6
1
5
1
2
3
1
15
3
1
1
3
5
1
2
2
1
2
2
1
1
1
2
1
1
4
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
2
1
1
2
1
86
1
1
1
1
3
3
1
1
2
1
14
3
1
2
7
1
1
4
1
2
1
1
4
2
1
1
1
2
1
4
5
1
1
2
4
1
1
1
1
1
1
1
2
1
4
2
2
8
109
2
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
5
1
2
1
3
8
1
1
3
1
1
5
2
2
3
1
1
4
1
2
1
15
5
6
9
1
1
1
2
16
16
1
1
8
1
2
1
1
1
2
1
1
1
1
13
1
1
1
9
1
197
1
4
3
1
5
1
1
1
5
3
6
2
2
1
1
1
1
1
4
3
1
52
1
1
1
2
3
2
2
5
1
4
1
2
1
2
1
2
9
16
2
12
4
2
1
2
5
16
1
1
2
2
1
1
1
9
1
2
2
1
2
1
8
2
6
2
1
1
1
3
3
1
1
1
1
1
1
5
1
4
1
1
4
1
3
1
5
1
1
1
1
2
1
1
1
1
9
1
1
1
1
2
3
1
1
2
1
1
1
1
2
1
2
2
2
1
2
2
1
1
1
1
1
1
3
2
7
2
1
4
1
4
1
1
1
3
1
1
1
2
1
1
1
5
1
1
1
2
1
2
1
1
1
8
1
1
1
3
1
3
5
37
2
2
1
1
1
1
1
1
1
3
2
2
1
1
1
15
1
10
1
1
5
1
1
1
1
8
2
1
2
38
2
1
4
1
1
1
1
4
1
1
1
2
1
1
1
1
3
1
1
24
1
1
1
1
1
1
50
1
1
1
2
1
5
1
3
2
1
1
1
47
1
1
1
3
1
9
2
1
1
1
47643
1
1
1
1
1
1
2
2
2
10
3
1
4
1
135
2
2
3
1
2
5
2
2
12
3
1
2
1
2
1
2
1
1
1
9
1
1
1
8
1
1
1
1
2
1
3
2
2
175
1
2
17
6
1
4
1
1
1
1
29
1
1
2
3
1
3
1
1
2
1
2
1
1
1
3
1
4
1
1
2
1
1
1
1
1
1
4
2
3
1
1
1
1
2
3
3
1
1
1
1
1
1
1
1
2
1
21
1
1
1
1
9
1
7
1
2
2
2
4
2
1
2
1
1
1
3
1
1
2
1
1
1
1
2
1
1
4
1
2
1
2
1
1
1
23
1
11
10
1
4
6
7
13
1
6
3
8
1
4
1
2
4
1
3
2
4
1
1
1
2
2
1
2
11
1
1
3
1
5
3
2
6
1
2
1
2
34
1
1
9
1
2
4
1
1
1
1
2
1
1
19
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
16
3
235
2
7
2
1
1
1
1
1
1
1
1
8
1
2
1
1
9
5
1
1
5
2
1
5
7
2
10
6
2
5
1
1
3
1
1
1
2
1
8
3
2
3
1
1
1
2
1
1
1
2
2
6
1
2
1
1
15
12
1
1
1
4
6
4
3
22
1
1
6
1
1
1
1
1
2
2
2
4
45
2
2
4
4
28
4
2
2
1
1
1
1
3
37
2
1
1
1
2
1
1
1
1
1
1
1
1
1
5
6
1
2
1
2
2
1
4
5
3
3
1
4
1
1
1
6
6
2
2
1
3
1
1
1
1
1
1
1
1
1
1
8
1
1
1
3
1
1
2
2
5
3
1
1
1
1
6
1
2
2
1
1
1
1
1
3
1
6
1
2
2
1
1
1
1
1
3
1
1
3
1
1
1
2
16
99
28
94
17
1
12
193
1
2
155
1
2
2
1
1
5
15
1
1
2
1
1
1
2
2
2
3
1
4
1
1
2
3
90
2
1
2
1
4
1
2
2
4
10
2
1
7
2
1
1
1
2
2
2
1
1
1
2
1
1
4
1
2
1
3
3
4
1
3
1
5
3
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
3
1
1
149
368
1
1
1
1
1
1
2
1
5
1
8
1
1
1
2
1
4
3
1
1
6
1
5
5
2
2
2
1
4
1
1
1
2
1
1
1
1
1
1
2
3
1
2
1
2
55
13
1
5
4
1
1
2
1
3
1
2
1
2
2
2
1
1
1
93
1
3
2
5
7
1
2
1
3
1
1
1
1
2
2
7
1
2
4
2
2
1
2
2
1
3
1
15
1
2
1
1
1
1
3
4
3
2
1
48
1
2
8
1
3
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
1
1
6
1
1
2
1
1
1
1
2
20
16
2
15
2
1
1
2
8
1
1
1
226
1
2
1
2
1
2
1
1
3
290
1
2
5
2
2
1
4
11
1
1
1
8
3
1
1
2
1
5
1
8
6
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
4
1
4
4
1
1
17
2
3
1
1
3
14
6
1
1
1
1
1
3
1
1
1
1
1
8
2
1
1
2
1
1
2
1
2
1
15
2
8
3
2
11752
3
3
1
1
7
2
7
4
1
1
1
2
1
1
2
1
1
1
1
1
1
1
6
5
4
4
1
1
4
5
6
1
1
2
2
1
1
1
1
1
15
2
1
2
2
3
1
1
2
1
162
3
3
24
1
1
1
2
1
3
3
1
1
6
1
8
2
1
1
3
1
1
3
2
1
1
1
1
3
1
3
4
2
2
1
2
1
2
2
2
1
6
3
1
1
1
1
2
1
1
5
1
2
1
1
1
302
52
85
1
35
2
1
2
1
4
1
1
1
1
4
1
1
1
1
13
3
1
6
1
1
1
70
1
1
1
17
4
2
1
1
1
27
4
2
2
1
1
4
1
2
1
7
3
2
1
6
1
4
8
2
1
1
1
1
3
2
1
10
2
12
2
1
1
1
1
6
1
1
1
1
2
1
6
1
1
1
1
6
41
2
2
1
1
6
5
3
2
22
13
4
2
1
2
6
2
1
1
2
4
2
1
2
1
1
1
1
4
2
1
2
1
1
5
1
1
1
2
1
2
29
1
3
1
1
2
1
2
1
3
1
4
6
3
1
2
2
1
5
2
1
1
1
1
231
6
4
2
1
3
5
1
2
1
1
1
2
5
1
2
1
1
1
1
1
1
1
2
3
15
2
1
2
1
1
1
5
37
1
2
1
1
1
2
1
2
1
1
1
1
3
4
3
1
1
64
1
2
1
15
1
1
1
22
39
2
1
2
1
3
1
4
1
3
1
1
3
1
1
1
2
7
39
1
1
1
1
1
2
1
1
2
3
1
4
1
1
3
2
2
5
17
1
3
14
1
2
1
1
8
1
31
1
1
1
2
2
2
1
1
2
7
2
1
4
1
1
28
1
1
1
1
1
4
1
1
1
18
18
1
2
1
1
6
1
2
3
2
1
1
1
2
1
2
35
2
2
1
1
1
2
1
1
1
5
1
1
1
2
5
1
1
2
3
6
2
9
14
3
1
2
1
1
18
4
7
1
4
2
4
1
1
1
1
1
1
1
1
2
1
2
1
25
1
1
3
2
3
1
2
1
1
1
2
3
27
2
1
2
1
1
2
1
1
3
1
4
82
1
1
1
1
1
1
2
1
1
1
2
1
4
1
2
2
1
7
1
1
1
1
1
1
26
3
1
1
1
1
1
9
1
3
3
2
1
1
1
2
1
3
6
1
1
1
5
2
2
4
1
1
1
1
1
1
2
33
1
1
1
3
1
2
1
219
1
1
1
1
1
1
2
3
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
4
2
1
5
2
1
1
1
1
105
22
1
1
1
2
1
2
1
1
2
1
1
1
54
3
1
1
1
1
6
1
3
2
1
1
1
1
1
2
3
1
4
1
2
2
1
3
2
1
1
4
1
2
1
2
1
2
33
2
1
2
1
1
1
1
1
2
1
2
2
4
3
4
3
1
1
1
1
1
1
3
1
1
1
1
1
7
5
1
2
3
1
2
1
4
1
1
5
2
3
1
1
1
4
6
1
2
2
1
1
1
3
8
9
2
2
1
2
1
1
1
1
1
1
1
2
2
1
2
1
2
1
1
5
1
1
2
1
1
1
1
2
1
3
6
1
1
1
2
1
1
1
2
1
2
1
10
4
2
2
1
1
2
1
1
1
2
16
1
2
1
1
2
2
2
2
1
1
4
3
2
5
1
1
1
1
2
1
1
1
1
1
1
1
2
1
62
2
1
2
2
3
1
1
1
1
1
1
1
1
1
2
1
4
1
1
2
1
1
1
3
2
1
2
2
3
1
4
2
3
2
1
1
2
1
2
1
1
4
12
17
1
2
7
4
2
2
2
1
1
1
28
6
7
3
5
1
3
2
1
12
2
2
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
1
8
1
2
4
3
3
2
7
2
4
2
7
2
4
6
3
3
1
1
3
1
2
1
2
1
1
1
2
1
1
67
425
1
2
1
1
1
1
1
1
4
1
7
1
4
7
4
1
1
1
3
1
2
7
2
2
6
2
1
3
2
10
1
2
2
1
1
2
1
1
160
1
7
1
62
2
2
26
1
1
6
1
3
1
2
1
5
8
1
1
2
1
1
1
1
2
1
2
7
2
1
1
24
1
1
1
1
2
7
3
3
6
3
4
1
2
1
2
1
1
1
1
6
4
6
2
1
1
1
2
1
1
1
1
2
1
1
4
2
8
3
7
2
1
1
36
1
2
1
3
4
4
16
1
29
1
2
14
28
1
1
1
1
2
2
1
1
1
3
1
3
2
2
1
1
6
1
1
1
1
1
5
1
1
1
10
5
24
2
2
1
1
5
3
1
1
1
4
1
4
1
1
1
3
3
1
3
1
20
1
1
1
1
1
4
1
2
1
2
2
2
2
1
3
2
1
1
4
3
4
3
3
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
3
2
2
2
4
1
1
2
1
2
1
5
1
3
1
11
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
2
12
1
1
3
3
2
19
1
2
3
1
1
1
7
3
2
3
3
5
2
1
1
1
1
1
3
6
2
1
8
2
1
1
4
1
2
1
1
3
1
1
1
1
1
1
4
5
5
2
1
1
75
1
1
1
5
2
1
1
1
1
4
1
1
1
1
4
1
1
2
1
1
1
1
1
4
1
7
1
1
2
1
1
3
44
1
1
1
1
1
2
1
1
2
1
3
1
1
1
2
3
1
5
2
1
2
1
1
2
3
2
1
1
3
2
1
22
1
1
6
3
1
2
3
1
2
1
1
2
2
1
3
1
5
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
3
1
1
2
8
1
1
4
1
1
18
2
1
13
1
16
2
2
9
1
1
2
1
1
1
9
3
1
1
1
1
27
1
3
4
1
1
1
1
1
4
2
1
5
355
102
5
1
13
1
1
1
1
3
2
4
3
3
1
1
1
3
1
2
1
1
3
1
401
2
12
6
1
2
1
3
9
2
2
2
1
1
2
6
4
2
2
1
2
1
1
1
3
1
2
2
2
1
2
5
2
1
2
1
1
1
2
1
3
1
1
4
3
1
1
4
3
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
1
1
2
2
1
1
1
2
1
1
1
4
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
2
1
1
1
1
1
1
2
1
1
6
3
1
3
1
1
1
1
6
2
1
1
1
1
2
4
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
2
1
1
3
1
1
7
1
1
1
1
1
2
2
1
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
3
4
2
1
1
4
2
3
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
2
3
1
2
2
1
2
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
3
2
3
1
1
1
2
2
1
1
1
1
1
4
2
1
1
3
1
2
2
1
3
1
1
1
1
1
1
5
2
2
5
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
2
1
1
1
5
2
1
1
3
2
2
2
3
1
1
1
2
1
1
1
1
1
1
1
1
5
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
3
1
2
1
4
1
1
2
1
2
1
2
2
4
3
1
2
4
6
2
2
4
1
8
1
4
2
3
1
2
1
3
3
1
3
2
1
1
1
1
1
3
1
1
2
1
1
2
1
6
1
5
1
1
1
3
1
3
1
2
3
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
10
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
5
2
1
1
1
2
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
3
3
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
2
1
2
1
5
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
4
2
4
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
2
2
1
1
1
1
1
3
1
1
1
2
2
1
1
1
6
2
1
6
1
2
1
1
2
2
1
1
1
1
1
2
3
1
1
1
1
1
2
1
3
1
2
2
1
3
1
1
1
3
2
1
3
1
2
1
1
1
1
1
1
2
4
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
4
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
2
3
4
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
4
1
2
1
1
2
1
3
1
3
1
1
1
1
1
1
1
4
3
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
4
1
1
1
2
1
2
1
1
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
7
3
1
1
1
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
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
103
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
4
1
1
1
1
2
1
1
1
1
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
1
1
1
1
5
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
3
5
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
6
1
1
1
1
1
2
1
1
3
2
1
1
5
2
2
1
3
1
7
1
2
1
1
2
1
1
1
1
4
1
1
2
1
1
1
1
2
1
1
1
1
1
4
1
8
1
1
1
9
1
2
2
1
1
1
4
1
4
1
1
1
1
2
1
3
30
1
2
3
4
1
3
1
1
1
1
1
1
2
1
3
1
1
1
1
1
2
2
1
3
1
1
7
1
1
1
1
1
1
1
3
2
2
1
4
1
1
1
2
4
1
2
1
1
2
1
362
1
15
6
2
4
1
1
5
15
4
1
4
1
1
1
1
27
1
2
1
1
1
1
2
1
2
1
2
66
14
7
1
5
1
2
1
1
1
2
1
3
1
1
1
2
1
1
1
2
20
8
2
1
1
2
1
2
1
1
1
1
1
1
1
2
2
2
15
3
1
3
1
2
936
1
3
2
1
4
1
1
19
2
1
15
1
2
1
22
1
1
1
1
1
1
1
2
1
1
1
2
1
4
5
2
2
1
1
1
2
1
2
10
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
3
1
1
8
5
15
1
1
1
1
2
2
1
2
1
4
2
1
1
1
2
1
1
1
2
1
1
1
4
3
5
1
1
1
3
2
2
1
3
2
1
1
1
1
1
7
2
4
1
1
2
1
1
1
1
1
8
4
4
4
1
1
2
1
1
1
1
2
2
1
1
2
1
1
1
2
6
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
1
4
4
2
1
1
1
1
1
2
1
2
1
1
1
1
1
4
1
2
2
10
1
1
5
1
7
2
1
1
1
1
1
2
1
1
2
1
40
2
2
1
2
1
3
3
1
2
1
2
1
1
1
7
1
1
1
2
3
1
1
1
3
1
2
2
3
1
1
1
1
4
2
1
1
1
2
1
2
1
2
5
1
1
2
7
1
1
5
1
2
1
1
1
1
3
3
1
2
2
5
11
1
8
1
1
2
1
1
3
1
1
1
5
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
7
1
6
2
2
6
1
275
2
1
1
1
1
3
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
2
1
1
1
13
1
7
2
3
1
3
1
1
1
1
1
1
6
1
1
1
1
1
1
3
1
2
1
1
1
2
1
2
1
2
1
7
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
21
9
4
1
139
53
8
1
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
4
11
6
2
1
2
1
1
1
54
1
7
9
2
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
2
2
1
5
1
1
1
3
1
2
433
2
1
1
33
1
1
1
2
1
7
2
1
1
1
2
3
1
1
1
1
37
1
1
1
2
8
1
9
1
3
5
1
6
1
2
1
1
1
3
3
1
1
1
2
1
1
2
2
1
1
1
6
1
1
1
1
2
3
2
1
1
1
1
2
1
2
1
1
2
1
1
1
2
1
3
1
5
5
1
1
2
5
1
2
1
1
1
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
1
152
1
1
3
1
1
1
1
1
1
1
1
3
6
1
2
2
189
2
1
1
1
1
3
1
2
1
1
2
1
10
1
1
3
3
6
1
2
1
2
1
1
1
2
1
2
1
1
1
4
3
2
1
2
2
2
1
1
4
1
1
1
1
10
2
1
2
2
2
1
2
1
2
1
2
3
2
1
1
6
2
4
1
1
2
1
3
1
1
17
13
1
1
1
1
2
1
5
1
1
7
1
1
9
1
3
1
6
2
1
1
6
1
2
10
1
1
5
2
1
6
1
1
1
2
2
3
2
1
2
1
1
1
8
7
1
19
4
1
6
1
6
4
2
8
1
10
1
1
1
1
6
3
2
1
1
2
1
2
1
1
1
1
1
1
1
9
1
1
1
22
2
1
1
2
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
2
2
1
1
2
1
2
3
3
3
2
4
1
2
3
2
1
4
2
7
1
1
12
6
1
4
1
2
1
1
2
1
2
1
1
1
1
1
1
1
5
1
10
3
1
1
2
3
3
1
1
1
1
2
2
1
1
2
1
2
1
1
1
2
3
1
1
2
1
6
2
1
1
1
1
1
1
3
1
1
2
1
1
5
1
1
4
1
2
3
1
2
2
1
1
1
2
1
1
2
1
5
1
1
6
2
1
1
19
3
2
1
29
2
1
4
1
2
4
3
1
1
1
1
1
1
3
1
2
2
2
4
2
1
7
2
1
1
2
1
1
1
2
2
2
3
1
2
1
4
1
3
1
1
1
2
1
1
10
1
1
5
9
1
1
1
2
1
2
3
1
3
1
7
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
3
2
11
1
3
1
1
1
1
1
1
1
1
2
1
5
1
13
2
1
1
1
1
1
2
6
1
1
1
2
1
2
1
1
2
1
2
1
1
1
1
1
4
1
3
1
1
2
3
1
1
8
1
2
1
2
1
1
28
1
1
1
1
1
1
2
7
1
3
2
2
1
1
1
1
3
1
1
3
7
3
1
1
2
1
1
1
1
3
1
1
2
7
1
1
1
1
1
1
6
2
19
1
1
1
1
6
1
1
2
3
1
2
3
1
1
1
6
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
6
1
1
11
1
1
1
2
1
1
6
1
1
1
1
1
2
3
5
1
1
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
2
1
1
1
1
6
2
4
4
1
1
2
2
2
7
1
1
1
1
3
2
3
1
1
1
3
1
1
3
1
3
3
3
1
4
3
8
2
1
2
2
2
5
1
1
1
2
2
1
2
2
1
1
1
1
3
1
1
1
1
3
1
1
2
1
1
1
1
1
2
1
1
5
1
1
1
1
1
1
2
2
12
1
3
1
2
1
1
2
1
2
1
1
2
1
1
3
7
2
1
1
2
3
84
2
1
4
3
1
4
2
14
1
1
1
3
2
1
1
1
1
4
1
1
1
3
1
1
1
1
1
27
1
1
9
2
1
1
1
2
7
1
1
3
2
1
3
1
1
1
3
1
1
1
1
1
1
1
8
5
1
1
1
2
2
2
3
10
3
1
1
3
1
1
1
1
2
1
1
1
1
3
5
1
3
2
2
2
1
1
2
12
2
2
1
3
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
30
17
1
2
1
1
1
1
1
2
1
3
1
1
1
1
1
4
1
1
3
2
3
3
1
1
5
1
1
1
10
8
1
3
1
3
62
1
6
2
1
17
1
1
2
1
2
5
1
1
10
1
1
1
3
1
2
14
2
2
1
2
1
1
6
1
1
7
1
2
1
1
1
1
1
1
6
3
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
2
51
4
1
1
1
1
2
1
1
1
1
1
1
2
5
20
1
15
1
17
1
1
1
2
1
3
1
2
1
2
2
2
1
3
4
2
5
3
4
10
1
1
2
2
2
2
1
1
2
11
1
4
2
2
2
9
1
2
1
1
1
1
3
8
1
1
10
1
1
1
1
6
1
1
1
1
1
3
3
1
9
1
1
1
1
1
5
2
1
5
6
1
1
1
2
1
1
2
1
2
10
13
1
3
1
1
1
1
1
3
16
1
1
1
1
2
1
6
3
5
1
4
1
6
2
1
1
1
1
1
1
1
1
7
1
1
2
1
1
2
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
2
2
1
3
2
2
1
1
1
3
2
3
5
1
3
2
1
1
21
1
3
17
2
2
1
114
23
4
23
1
6
1
1
7
1
9
1
5
53
3
5
1
2
1
1
1
2
1
2
1
1
3
1
9
1
1
6
2
3
2
1
2
1
1
1
1
3
27
8
3
1
1
2
1
2
1
3
1
5
8
2
3
2
41
1
31
12
1
3
6
3
1
2
5
1
2
1
1
1
2
1
1
5
1
1
1
1
1
2
1
2
2
1
1
1
3
2
1
1
1
1
1
2
1
1
39
5
82
1
1
1
1
1
1
5
5
2
1
2
6
4
1
2
2
1
1
1
1
1
7
2
1
8
5
4
2
1
2
1
3
1
1
1
1
1
5
2
2
2
1
3
4
1
5
3
12
1
1
24
1
1
2
1
1
1
1
19
1
9
1
1
1
1
1
1
1
9
1
1
1
1
1
1
2
2
1
12
24
2
1
6
1
1
2
6
1
1
1
1
1
1
1
8
7
2
4
4
5
1
1
5
5
3
1
1
2
5
1
2
1
1
2
6
1
1
2
1
1
2
1
1
2
3
2
5
43
1
1
5
2
1
1
6
1
1
2
64
1
1
3
7
3
13
1
2
4
3
1
1
2
1
5
1
1
2
1
3
2
3
3
12
1
6
1
1
2
1
1
9
1
3
2
1
1
1
3
1
7
2
1
1
1
1
1
1
1
1
4
3
1
3
2
2
1
1
2
1
1
1
1
1
7
1
1
8
11
1
2
4
7
1
6
46
6
1
34
1
4
7
1
1
1
1
1
4
1
6
1
2
1
1
5
1
3
3
1
1
1
1
1
10
2
1
3
1
1
1
2
1
2
1
1
7
1
1
1
4
17
11
9
1
2
1
1
1
3
2
1
1
3
2
1
3
7
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
3
36
1
1
1
5
1
4
1
1
4
3
3
10
1
2
7
3
1
15
1
3
1
1
1
2
4
1
1
1
1
1
1
1
2
1
2
3
1
11
3
1
1
3
7
1
1
3
1
8
1
2
3
1
3
29
1
1
1
1
1
1
1
5
2
4
5
5
4
1
1
2
1
2
1
1
1
13
5
3
1
1
1
1
9
3
9
1
3
1
4
15
1
3
1
1
2
2
1
1
13
1
1
9
1
1
1
1
2
2
2
1
2
1
1
1
1
1
1
2
1
1
193
2
1
2
3
2
50
1
1
1
1
4
1
1
1
3
1
2
19
3
5
1
8
2
2
1
3
3
2
2
1
1
2
3
1
4
1
1
2
1
2
2
4
4
1
2
75
28
5
1
2
5
2
1
2
1
1
1
1
1
1
2
2
8
3
1
2
2
1
3
1
4
2
1
1
4
1
2
2
2
1
1
6
2
3
1
6
265
1
2
4
2
3
1
1
1
1
8
1
1
1
31
2
2
1
6
2
1
2
2
1
1
1
3
2
1
1
8
1
2
1
4
1
3
1
1
3
3
1
1
1
1
1
5
14
1
90
3
1
1
5
2
1
2
2
2
1
1
3
2
1
2
5
1
1
1
1
5
1
7
430
1
1
2
2
2
1
1
1
5
1
5
4
3
1
1
2
7
2
3
4
8
1
1
5
1
2
1
2
1
1
3
1
4
1
6
1
2
1
2
9
4
4
9
2
2
1
3
4
1
3
2
2
1
1
4
6
2
1
5
2
2
1
1
2
3
1
2
1
1
1
1
1
49
1
1
1
1
1
1
2
1
1
1
7
1
1
3
4
3
2
2
1
1
1
1
1
1
1
1
1
4
1
1
4
1
3
4
1
1
1
2
3
1
5
3
8
2
2
1
1
1
3
1
1
3
1
2
1
3
1
1
1
1
30
1
2
1
1
1
2
16
1
1
1
2
1
1
1
1
3
1
1
2
1
