1
2
6
1
4
1
13
1
47
12
1213
7
1
2
1
3
2
4
5
3
1
16
1
1
1
110
35
1
3
1
5
8
2
8
5
19
2
3
4
2
4
1
3
20
54
1
3
1
3
1
4
2
1
1
1
1
2
44
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
4
1
2
2
1
2
1
1
1
3
1
1
1
1
1
86
1
1
2
2
1
1
16
1
1
1
7
1
2
1
1
1
1
1
1
1
1
4
1
1
11
5
2
2
1
4
1
2
1
2
2
3
5
3
4
1
1
3
1
2
1
1
2
1
1
2
1
3
1
1
1
1
1
3
13
1
1
3
1
3
1
1
17
2
1
2
2
3
2
2
1
3
1
1
11
1
1
1
1
1
1
1
2
3
3
4
2
2
2
1
3
1
1
2
2
2
4
3
1
10
3
1
1
2
2
12
1
4
4
5
1
5
4
1
2
1
1
1
1
3
1
3
1
5
1
1
3
3
1
1
3
1
1
1
1
2
7
2
3
2
1
10
1
6
2
1
8
15
3
3
8
1
1
4
1
1
1
1
1
2
1
2
26
2
1
1
1
1
2
2
2
1
1
31
1
2
20
2
1
1
1
1
5
2
1
12
2
1
1
1
3
2
1
1
3
13
2
2
1
2
2
1
1
14
1
2
1
1
1
2
2
1
1
5
1
3
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
9
1
1
1
1
2
1
1
1
1
1
1
1
21
4
1
2
1
1
1
1
1
5
2
1
1
2
6
1
2
8
1
2
2
1
1
1
1
1
1
2
1
2
14
1
109
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
9
1
2
4
2
1
1
17
4
3
1
1
3
2
1
1
1
1
5
1
1
2
243
1
7
2
1
1
1
2
1
3
6
1
1
1
9
1
1
1
1
1
2
1
29
1
1
1
1
1
1
1
1
26
1
2
1
3
1
1
1
1
41
1
1
1
1
1
2
1
1
1
163
1
1
1
1
1
2
8
1
1
1
1
4
1
1
1
3
4
3
1
1
1
1
1
1
1
1
3
1
1
1
4
5
1
75
6
3
2
1
1
1
1
27
1
35
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
2
1
5
2
11
1
2
1
11
4
22
1
283
19
1
1
2
2
2
1
5
1
1
2
2
1
1
7
3
1
1
1
1
5
1
1
1
1
2
1
2
1
2
2
1
1
1
2
1
1
1
2
22
1
1
2
2
1
4
1
3
1
1
2
1
1
3
6
1
1
1
1
1
1
3
6
1
1
3
4
2
2
1
1
9
2
2
7
1
1
1
5
2
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
2
2
690
2
7
1
1
1
3
2
3
3
3
2
10
1
2
1
1
15
1
1
1
2
1
11
5
2
1
2
1
2
1
1
54
6
60
2
2
1
1
3
14
1
1
1
1
1
4
44
1
1
3
1
1
1
2
1
1
4
1
1
1
2
2
1
5
1
5
1
6
1
1
1
1
1
1
1
1
1
2
2
4
1
1
1
1
2
1
13
2
1
2
1
2
3
2
1
1
2
1
2
2
2
2
1
1
1
119
1
1
1
2
2
1
2
6
4
8
3
1
1
2
1
1
2
1
1
2
5
1
10
1
4
3
1
2
1
1
1
6
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
1
3
1
2
1
1
1
1
1
1
2
1
1
2
1
1
74
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
26
141
1
1
1
1
1
4
1
1
13
7
1
2
1
1
2
1
1
1
1
1
2
1
1
3
1
1
1
1
2
2
1
1
1
2
3
4
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
3
2
1
1
2
5
1
1
6
26
4
1
13
3
1
1
4
1
2
1
1
2
103
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
10
1
1
3
1
2
3
35
2
178
1
1
1
1
3
1
3
9
1
1
1
3
1
1
4
1
1
1
1
2
2
2
17
3
1
1
1
1
1
1
1
2
13
2
2
2
1
3
1
3
2
1
1
1
1
3
2
2
1
1
4
3
1
1
6
1
3
4
1
2
2
4
1
3
1
1
1
1
2
3
1
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
1
1
4
5
3
1
6
2
6
1
2
2
10
2
1
2
2
5
1
1
2
1
1
13
1
1
1
1
1
1
4
2
3
1
4
1
1
1
1
1
1
2
3
1
5
1
2
2
2
2
1
5
1
1
1
1
4
2
1
1
1
1
2
1
1
1
1
1
3
1
1
1
2
1
2
1
3
4
1
1
1
1
7
1
2
1
2
1
12
38
31
23
20
8
37
2
2
1
8
1
1
2
1
1
1
1
2
2
2
7
5
2
94
1
1
1
1
32
1
1
1
1
1
6
2
1
2
1
1
1
1
1
1
2
6
1
7
12
7
2
1
3
2
1
6
3
12
2
1
1
1
1
11
3
15
1
1
1
1
1
2
1
1
3
9
1
1
1
1
1
2
1
1
1
1
1
1
1
1
37
3
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
1
3
1
1
5
1
1
4
1
1
1
11
1
1
1
13
1
2
2
17
4
1
1
1
4
1
2
1
1
2
3
1
2
1
1
2
2
2
2
1
1
13
12
2
1
1
1
1
1
1
23
1
1
7
1
2
1
1
29
1
6
2
2
1
1
1
1
4
3
3
2
2
2
1
2
4
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
2
1
1
1
1
4
3
31
1
3
1
1
4
1
5
1
1
3
1
1
1
1
1
1
1
4
2
1
1
1
2
3
1
1
1
2
1
4
4
3
1
1
1
1
2
3
3
2
2
1
1
1
1
1
31
1
3
1
2
9
1
2
1
1
1
4
1
1
1
4
1
2
1
2
3
5
3
1
3
1
1
1
1
20
7
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
3
3
1
1
1
1
20
1
1
1
2
1
1
1
1
1
1
1
2
1
1
7
1
1
1
2
1
1
1
1
1
2
1
1
4
1
2
1
2
2
6
4
1
1
2
1
1
1
1
2
6
18
1
3
1
1
1
3
1
1
4
1
1
1
1
3
3
10
1
1
1
1
1
1
1
6
1
1
1
1
1
3
1
1
3
3
1
1
1
2
1
1
2
1
1
1
1
1
4
2
1
2
2
2
5
1
3
1
1
2
1
1
3
1
1
2
1
1
23
1
2
3
2
1
1
1
7
1
1
1
1
1
1
1
2
6
1
1
1
1
1
2
1
1
2
2
1
1
2
3
1
1
1
1
3
2
3
1
1
1
6
4
35
3
3
1
1
5
1
1
1
1
47
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
2
2
1
1
1
4
1
1
1
1
1
3
4
22
58
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
3
2
271
1
1
1
1
2
2
1
2
1
1
29
2
3
6
1
3
1
1
1
7
13
1
1
1
1
9
4
2
1
3
1
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
5
6
1
2
10
2
4
2
1
1
3
1
1
4
3
1
1
1
9
1
1
1
1
2
2
1
1
1
2
1
2
1
1
1
4
4
1
1
2
1
6
2
7
3
8
1
2
1
1
1
2
1
3
1
1
2
2
1
4
5
2
1
1
1
4
1
2
1
2
2
1
3
2
5
1
1
1
2
1
1
1
10
1
3
4
1
1
2
1
1
1
1
1
1
1
1
8
1
1
2
13
1
1
1
1
2
1
3
4
1
1
1
1
8
5
4
2
1
2
1
2
1
1
1
1
2
1
1
1
42
1
1
3
1
1
1
2
45
2
1
2
1
1
3
1
15
1
2
1
1
1
1
4
1
2
1
1
1
1
1
1
2
2
2
2
3
2
11
4
2
2
1
1
10
7
1
1
1
1
1
13
3
1
6
9
1
1
1
1
1
1
1
1
3
1
1
2
1
4
1
3
1
1
1
1
3
2
1
1
14
1
7
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
3
1
6
1
2
1
1
1
1
3
2
2
1
1
1
2
3
1
2
8
1
1
2
1
31
1
3
1
1
24
1
2
3
2
1
3
1
7
1
1
1
2
1
1
1
1
2
2
1
5
1
9
2
1
1
1
17
1
1
17
2
1
2
2
1
1
1
2
1
193
1
1
1
1
4
2
1
2
1
562
14
1
2
1
7
6
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
3
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
8
2
1
1
3
1
4
2
3
13
1
1
6
4
1
1
1
6
3
2
2
1
1
2
1
1
1
113
44
1
3
3
2
1
1
1
1
5
6
4
1
2
1
3
2
2
2
1
1
2
1
2
3
2
2
1
1
11
6
5
5
1
1
2
1
2
2
4
1
1
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
1
1
2
2
1
3
1
1
1
3
1
1
1
3
1
12
91
1
12
1
1
2
30
3
1
1
1
1
5
1
2
3
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
22
1
1
6
1
4
2
2
3
1
7
1
1
1
1
1
2
4
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
3
1
5
1
1
2
1
4
2
1
1
1
1
1
2
2
1
2
1
1
3
3
1
11
2
7
3
3
1
1
1
2
1
8
4
1
13
1
1
1
1
2
2
1
1
1
1
2
1
2
1
1
1
2
1
5
2
1
1
1
5
1
1
1
1
5
1
1
2
8
2
2
2
1
1
8
1
1
1
2
1
2
1
1
3
2
1
1
2
5
1
6
1
1
1
1
74
1
45
1
1
1
1
1
1
2
1
1
1
2
2
1
2
1
2
1
23
1
1
1
1
1
1
1
1
1
11
1
1
1
1
1
4
1
1
4
2
1
2
1
1
1
3
1
1
1
1
1
1
1
8
1
1
1
1
5
1
2
1
2
2
5
1
1
3
1
1
1
5
1
613
1
1
1
12
2
1
2
2
1
1
1
1
2
1
1
1
3
3
1
2
1
1
1
11
1
3
1
1
1
2
1
3
2
6
1
4
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
11
1
1
1
1
1
2
17
5
1
2
1
2
1
1
1
6
1
1
5
7
3
1
2
1
1
1
1
1
3
4
1
19
2
1
2
3
1
2
2
1
1
1
4
1
1
1
1
1
9
1
1
1
1
1
1
2
2
19
7
1
1
2
1
1
2
1
29
2
1
1
3
1
3
3
2
2
1
2
2
1
2
2
8
2
2
1
1
1
1
1
21
1
1
1
1
2
1
1
1
3
3
2
3
1
2
1
4
1
1
1
1
2
3
3
1
2
1
23
2
1
2
1
2
3
2
2
6
2
1
2
4
3
4
1
1
3
2
4
2
1
3
1
1
1
5
1
5
6
1
6
3
3
1
3
1
3
1
2
4
1
2
1
3
1
1
1
1
1
1
3
1
61
10
1
2
1
1
1
5
2
5
6
1
1
1
3
1
1
1
2
1
1
2
1
2
19
2
2
1
1
1
14
1
1
1
1
1
1
4
1
1
1
1
1
10
1
1
10
2
2
1
1
1
2
1
1
1
1
1
3
1
3
1
1
1
86
4
2
1
1
1
3
4
3
3
1
2
1
2
1
1
1
2
2
5
1
4
1
9
1
1
4
1
2
6
14
1
1
2
1
1
1
1
2
1
1
4
1
110
1
1
2
1
1
1
1
1
1
1
2
1
54
1
1
1
1
2
2
9
1
7
2
3
5
1
1
1
4
1
1
2
1
1
3
1
10
1
1
4
1
3
2
2
1
2
1
3
5
1
1
4
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
13
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
79
4
6
11
2
3
3
1
1
2
3
4
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
9
1
3
5
3
5
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
4
7
1
1
3
1
1
2
1
1
3
1
4
1
1
2
44
6
3
1
1
1
3
1
1
4
4
4
2
2
2
1
1
2
17
2
35
2
2
9
1
1
1
1
3
2
75
1
4
3
2
7
2
1
1
1
1
2
577
1
1
1
4
3
4
1
1
1
1
1
1
4
2
13
2
4
1
2
1
2
1
2
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
4
94
1
1
2
10
4
1
1
1
1
4
3
1
2
1
3
2
1
10
1
2
1
1
1
2
2
1
2
29
6
2
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
4
1
1
2
6
2
3
2
1
1
1
1
3
1
1
2
1
6
3
1
1
1
2
1
3
3
7
2
1
2
7
1
1
1
1
9
2
7
3
1
3
1
2
1
1
2
109
6
1
7
1
1
3
1
2
2
1
1
3
4
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
5
2
1
2
1
1
1
2
1
6
1
1
1
3
1
1
1
5
2
2
111
1
1
1
1
1
4
1
1
1
252
1
1
1
1
2
1
3
1
3
1
1
1
1
4
47
1
1
1
1
1
1
1
1
4
1
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
2
1
1
2
6
1
1
1
1
3
1
1
4
2
6
1
11
1
1
1
1
1
1
1
1
2
4
1
1
2
27
1
1
1
1
3
1
1
1
1
6
4
4
1
1
1
1
2
2
1
1
2
2
6
2
6
20
6
1
1
2
1
12
1
4
1
4
1
1
3
1
16
1
1
1
1
1
1
2
1
2
1
2
5
1
2
1
3
4
1
1
2
1
5
1
17
1
3
2
1
13
2
1
55
8
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
10
2
2
1
3
4
4
1
1
2
1
2
3
1
1
3
1
2
1
8
2
1
10
3
4
2
1
1
1
1
3
3
1
1
2
1
1
1
2
1
1
2
1
1
1
2
1
2
1
5
6
2
1
2
3
1
1
1
1
1
1
1
2
1
3
3
1
1
2
2
3
43
1
2
4
1
4
8
1
1
1
1
2
1
2
5
1
2
1
1
1
1
1
1
1
2
1
1
3
2
1
1
2
1
3
91
1
2
2
2
1
2
11
5
1
1
1
1
13
3
1
1
1
1
1
1
1
1
1
4
11
1
1
2
2
3
1
1
1
2
1
2
7
99
1
3
1
1
5
1
1
1
4
1
1
1
3
2
1
2
1
1
2
8
1
2
1
4
1
3
4
1
1
11
3
7
4
1
3
1
1
1
15
18
1
5
1
1
1
2
1
1
1
2
1
1
10
2
2
1
3
1
192
3
4
1
3
1
1
2
6
3
1
1
1
1
1
1
4
1
1
1
1
1
1
4
5
2
57
2
2
2
1
1
2
3
2
1
11
8
1
4
5
1
1
4
1
12
1
1
2
1
3
9
1
2
2
1
3
3
5
2
1
1
1
1
3
1
1
2
3
8
1
3
2
1
4
5
1
1
1
1
1
4
1
1
1
1
2
2
2
1
1
1
1
1
4
1
1
1
1
2
1
1
4
2
1
1
1
1
2
2
1
1
1
11
1
2
1
1
1
2
1
4
2
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
3
1
2
4
1
41
2
2
1
1
3
1
2
1
1
1
5
2
1
14
7
6
1
1
1
1
1
1
2
4
1
1
1
3
1
42
2
3
1
1
1
4
1
1
2
1
1
1
1
2
1
1
1
2
2
39
1
1
1
2
1
1
45
2
2
1
1
1
1
1
1
2
3
48
1
1
1
2
1
13
2
1
1
48894
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
9
2
6
1
162
1
1
1
6
1
7
1
1
1
2
16
13
1
3
2
2
1
1
2
1
2
1
1
1
1
182
1
1
2
1
21
5
2
2
1
2
1
1
22
2
1
6
1
6
1
1
1
4
6
1
2
3
6
2
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
3
6
9
3
1
1
1
1
3
1
1
1
2
1
2
6
1
1
1
1
1
3
1
1
2
1
3
1
1
1
2
1
2
1
1
1
38
1
5
4
9
1
3
5
6
21
1
2
5
3
1
1
1
1
2
2
3
3
4
2
2
1
1
3
1
1
1
1
15
1
3
1
1
1
4
1
1
1
1
2
40
1
2
1
1
1
1
1
1
2
2
1
17
1
1
1
2
1
1
1
2
2
1
1
1
2
3
1
1
1
2
2
1
4
1
1
2
2
1
1
2
1
1
7
223
3
7
1
2
2
1
2
1
4
1
2
4
2
11
5
3
1
1
3
4
3
1
3
13
1
5
2
4
7
1
3
1
1
1
1
3
2
1
5
1
2
1
1
1
2
1
1
1
1
7
1
1
2
1
2
1
1
1
16
16
1
2
1
1
2
1
6
6
12
1
1
2
1
2
1
1
3
1
1
1
1
5
45
1
1
1
4
1
1
1
1
26
8
3
1
1
2
23
4
1
3
1
1
2
2
2
4
1
1
1
3
1
1
4
12
6
10
1
1
1
1
1
1
1
8
1
1
5
1
1
1
1
2
1
1
1
1
2
2
2
1
2
1
4
1
1
1
1
3
3
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
4
1
1
1
1
1
1
100
105
11
15
191
1
2
164
3
2
1
26
1
2
1
5
1
1
5
6
1
1
1
5
1
1
3
2
2
56
3
4
1
2
11
2
2
1
1
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
7
1
6
2
1
3
1
1
1
1
5
1
4
3
1
1
1
1
1
1
1
1
1
3
1
161
369
1
1
3
1
1
1
3
1
1
1
1
3
9
5
8
12
1
1
2
1
6
1
1
1
1
1
1
1
1
4
2
2
1
2
1
3
43
1
5
2
1
2
1
2
6
1
1
1
1
1
1
3
1
1
1
91
1
2
6
1
2
3
3
1
1
1
1
2
8
1
1
2
2
1
1
2
2
1
27
1
1
3
1
1
1
4
5
4
1
1
1
1
1
1
1
1
34
1
2
1
1
2
1
1
8
1
1
1
1
2
1
2
1
1
1
4
1
4
2
2
3
3
1
1
1
22
27
3
6
1
1
1
2
1
1
2
1
2
1
251
1
1
1
2
1
1
1
1
233
1
1
3
3
4
1
1
3
8
1
1
1
1
1
8
1
1
2
1
1
1
8
11
6
1
1
1
1
4
1
2
7
1
1
1
1
1
4
3
1
19
1
1
10
8
1
1
4
1
1
1
1
1
2
1
3
2
1
1
2
2
4
1
7
1
1
9
4
10603
2
3
4
1
2
4
1
1
3
1
1
1
2
1
2
1
1
1
1
2
9
4
1
1
5
2
1
2
1
4
1
1
2
1
1
1
16
1
2
2
3
2
1
1
1
1
162
2
1
31
1
1
1
2
8
2
1
1
4
17
1
1
4
2
5
1
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
3
1
1
3
2
1
1
2
2
2
1
4
1
1
1
271
59
110
32
1
2
1
2
1
1
1
1
3
2
11
7
2
1
1
2
1
1
1
59
1
1
4
1
1
19
4
1
1
1
1
3
26
2
2
1
4
1
1
1
2
1
5
2
3
4
1
1
6
3
5
5
1
1
1
2
1
3
9
2
6
1
2
1
5
3
2
1
1
8
1
1
1
2
1
42
1
1
1
1
1
7
1
7
2
1
2
21
15
4
1
1
2
2
3
1
1
2
5
1
2
5
1
1
3
1
2
1
2
2
1
1
28
2
4
1
1
4
2
2
3
2
6
1
2
2
1
2
5
1
1
1
202
4
6
2
2
3
8
2
1
1
1
7
1
1
1
1
2
1
4
2
1
2
1
2
1
2
1
3
36
1
2
3
1
1
2
2
60
1
2
1
3
1
52
1
1
1
1
1
1
1
1
1
4
1
2
1
3
1
1
29
1
1
1
1
1
1
1
1
1
1
1
1
1
3
3
1
18
1
1
7
1
1
5
3
1
3
2
27
1
3
1
1
2
2
1
2
1
1
5
7
1
1
2
2
1
2
1
2
26
1
1
1
1
11
1
1
18
12
1
2
1
1
1
1
6
2
1
7
1
1
1
1
1
1
1
1
35
1
4
1
1
1
1
2
1
1
1
4
4
1
1
2
1
1
1
1
2
13
1
1
7
5
1
1
25
7
7
2
1
5
1
1
3
1
3
1
1
4
1
11
4
1
2
4
1
1
1
3
1
1
1
1
1
1
9
3
1
2
1
2
1
1
1
1
1
1
74
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
2
3
1
1
6
4
1
6
1
1
1
1
1
3
8
1
2
1
2
1
1
2
2
1
1
3
4
1
1
1
3
1
1
1
2
1
2
2
1
39
1
1
6
191
1
1
2
1
1
1
2
2
1
1
2
1
1
1
1
1
6
1
1
2
1
3
1
1
2
4
2
1
1
82
1
1
1
1
2
7
1
65
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
4
1
3
1
1
3
1
2
1
1
1
1
1
1
1
36
6
2
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
4
1
1
1
8
1
1
3
2
1
3
1
1
6
1
1
6
1
2
1
1
7
1
1
1
1
1
3
9
1
2
1
1
1
1
1
1
1
3
1
1
3
1
2
1
1
1
1
4
1
1
2
1
1
2
2
1
1
1
3
2
1
9
1
1
4
3
1
1
1
1
15
1
2
1
3
2
2
1
1
3
2
3
1
1
1
1
1
1
1
3
1
54
2
1
1
1
4
2
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
4
2
2
2
2
2
1
6
2
16
1
1
1
12
5
2
3
1
1
17
10
2
1
1
5
2
1
3
1
1
1
1
1
2
2
2
4
1
2
2
1
1
1
2
5
1
1
1
1
1
1
1
1
7
1
1
1
7
3
1
3
1
5
6
2
5
1
2
4
1
3
1
1
1
1
1
1
2
1
71
426
1
1
1
2
1
1
4
1
1
6
10
1
1
1
1
1
1
2
4
1
9
2
6
1
3
5
1
8
1
1
1
1
3
1
2
1
2
4
1
153
1
3
1
1
61
1
32
3
4
1
2
1
1
1
1
6
1
1
2
1
3
1
1
1
7
2
23
1
2
2
1
1
3
5
1
1
5
1
4
5
3
1
1
1
3
1
1
3
1
1
3
1
1
1
1
1
1
12
4
3
1
35
1
1
1
2
3
2
17
1
37
1
1
1
16
20
1
1
2
2
1
2
1
1
1
2
1
1
2
1
1
1
5
1
1
4
8
1
2
1
6
2
20
1
1
4
2
1
1
4
1
5
1
1
2
1
1
4
1
1
2
4
1
2
16
1
1
2
1
1
4
2
2
1
1
2
2
4
1
2
1
1
5
1
1
2
1
3
3
1
1
2
2
1
2
1
1
1
3
2
1
1
3
1
1
3
2
1
1
9
3
1
2
1
1
1
3
1
1
1
1
2
1
3
1
1
6
1
1
1
1
1
1
5
2
22
2
1
2
6
2
2
1
1
1
1
3
4
3
4
4
1
3
1
1
6
8
1
6
1
2
2
4
5
3
1
1
1
3
1
2
54
1
1
2
5
2
1
1
2
1
1
2
1
1
1
1
1
2
1
1
2
1
1
2
5
1
3
6
1
1
1
1
1
2
1
2
1
3
41
2
1
1
1
1
1
2
1
1
1
1
1
1
1
3
4
1
1
9
4
1
1
3
1
3
2
1
2
1
1
3
26
3
3
1
1
2
2
1
1
1
1
1
3
3
1
4
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
11
3
2
1
5
1
1
1
11
2
1
1
26
21
1
1
10
1
1
14
2
1
31
2
2
2
1
1
1
1
1
2
2
1
2
368
115
1
2
1
9
2
1
1
1
11
1
2
1
1
2
1
1
1
1
354
3
8
2
2
7
6
1
4
5
1
1
3
2
1
1
2
1
3
1
2
1
1
1
1
2
1
1
2
1
5
1
3
1
1
7
3
1
1
1
2
1
1
2
1
1
1
1
3
1
1
1
2
2
2
2
2
7
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
3
1
2
1
2
1
3
1
1
1
1
2
1
2
1
1
1
5
1
1
1
1
5
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
2
6
3
2
1
1
2
1
4
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
1
5
1
2
2
2
2
1
1
1
1
2
1
1
1
1
1
2
2
1
1
2
1
4
1
1
2
1
1
2
2
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
5
1
1
1
2
1
1
1
1
7
1
1
1
2
1
1
1
1
3
2
3
1
1
1
1
1
2
1
1
5
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
4
1
2
3
1
1
1
1
3
1
3
2
1
1
1
1
1
1
2
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
3
1
1
2
1
1
1
1
5
2
1
1
1
1
1
1
1
2
3
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
3
6
1
5
1
1
5
2
1
2
1
3
1
1
2
1
3
1
1
1
2
3
1
1
3
1
1
1
1
6
1
2
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
3
1
1
1
4
2
1
2
2
2
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
2
3
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
3
1
1
3
2
2
1
2
1
1
1
2
1
1
1
1
1
2
1
2
2
1
2
1
1
2
1
1
1
1
1
2
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
2
1
3
1
5
1
1
2
1
1
2
2
1
2
1
1
6
1
1
1
1
2
1
2
1
1
1
1
1
2
2
2
1
1
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
1
4
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
1
1
2
1
1
1
1
2
2
2
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
2
1
1
3
3
1
1
1
1
2
1
3
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
4
1
2
1
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
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
2
1
1
3
1
1
3
1
2
1
1
1
2
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
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
96
1
1
1
2
1
1
2
1
1
1
1
1
4
1
1
1
1
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
2
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
2
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
1
1
12
1
1
1
1
1
1
1
1
1
7
1
1
2
1
1
1
1
1
6
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
4
1
1
9
1
2
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
2
1
1
2
4
1
39
2
2
1
2
1
2
3
1
1
1
1
1
4
2
1
1
2
3
2
1
1
1
4
1
1
1
1
1
1
2
2
1
1
1
7
1
1
1
1
2
1
2
8
1
1
1
2
2
350
9
10
2
1
1
3
13
2
2
2
1
1
1
1
1
14
1
2
1
1
3
1
1
2
76
6
4
3
1
2
2
1
1
1
1
3
3
1
1
3
36
12
4
1
3
2
1
1
2
2
1
1
1
1
1
3
1
1
1
1
5
1
19
2
1
2
1
1
2
1
1
1
1
1
847
3
3
2
1
3
1
2
13
1
1
6
1
1
32
2
1
2
1
1
1
1
1
1
2
3
2
1
4
1
1
1
2
1
5
2
1
1
11
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
2
1
2
1
2
7
15
1
1
1
1
1
1
6
1
2
4
1
1
1
2
2
8
2
1
1
2
1
1
1
1
1
1
1
2
2
1
1
4
1
2
1
3
1
1
2
1
5
1
2
2
4
1
5
1
1
15
4
3
2
1
2
1
1
1
1
1
2
4
1
3
1
7
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
3
1
1
1
4
1
7
3
2
2
1
1
2
1
1
5
1
1
3
2
2
1
12
2
2
2
3
3
1
2
1
1
5
1
1
54
2
2
3
1
1
1
1
2
2
1
3
1
2
2
1
6
1
1
1
1
2
3
1
1
2
1
1
2
2
1
1
2
1
5
2
1
4
3
1
1
1
10
1
2
1
6
2
11
1
1
2
2
2
1
1
1
2
1
3
5
14
3
4
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
3
2
7
2
2
2
276
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
2
1
1
1
19
1
1
2
1
1
1
2
1
3
2
1
1
3
2
1
1
1
1
3
1
1
1
1
4
1
1
2
2
1
1
1
1
1
1
1
1
1
3
1
1
1
23
2
2
1
1
144
40
1
1
3
2
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
62
1
6
8
3
8
1
3
1
2
1
1
2
1
3
1
1
1
3
2
2
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
414
1
1
1
1
6
34
1
1
2
4
1
1
2
1
3
4
1
1
1
1
2
1
1
1
1
33
2
1
1
2
2
1
1
2
2
14
1
8
1
1
1
1
2
2
2
1
1
1
2
1
2
3
2
5
6
2
1
3
1
4
2
1
3
1
3
2
1
1
2
2
1
3
1
5
1
2
1
2
1
1
1
1
2
1
1
2
1
5
1
1
2
1
1
148
1
2
2
1
3
1
1
1
1
5
3
1
229
1
1
3
2
1
2
1
2
3
2
4
1
4
1
1
1
2
1
2
1
1
1
7
2
3
2
1
1
2
3
3
2
1
3
1
1
8
3
1
1
1
3
7
1
3
7
1
1
2
3
1
4
1
1
4
1
19
10
3
1
1
7
1
1
1
1
1
1
1
1
9
7
1
1
4
1
1
4
2
1
1
1
3
10
4
1
5
1
2
3
1
5
1
3
1
1
1
3
3
1
4
24
3
3
1
5
3
3
5
19
6
3
1
1
1
1
1
7
2
17
2
2
1
1
1
1
1
2
1
2
2
1
1
1
2
1
2
2
1
1
1
1
5
3
1
2
1
1
2
6
1
1
1
10
3
1
2
1
2
2
1
1
1
1
1
2
1
2
1
1
7
7
5
1
1
2
1
1
1
1
6
4
3
1
1
1
1
2
2
2
1
1
1
5
1
1
2
1
1
1
2
2
1
1
1
1
1
1
3
1
2
2
1
1
4
1
1
1
3
1
3
20
1
4
5
1
1
1
1
30
1
1
1
2
1
3
4
2
1
1
2
1
2
1
1
2
1
11
2
1
2
3
1
2
3
1
1
5
1
1
1
1
2
1
1
1
1
10
1
1
5
11
1
1
4
1
1
1
1
12
2
1
3
1
1
2
1
1
1
1
2
1
3
1
1
8
2
1
1
1
1
2
1
2
1
5
11
1
2
1
1
1
1
1
1
1
3
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
7
1
1
1
1
1
1
1
23
2
4
3
1
1
2
1
1
1
1
1
3
3
1
7
1
1
1
1
1
1
6
1
1
1
1
3
4
3
1
1
1
3
3
1
9
1
1
1
2
2
1
1
5
1
5
2
2
6
1
1
2
1
2
1
2
3
1
1
1
1
1
1
2
1
1
14
1
2
1
1
5
1
1
8
1
9
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
1
2
2
2
2
3
2
1
2
1
7
1
5
1
6
4
1
1
2
2
5
1
1
1
1
1
5
3
3
1
2
2
2
2
2
1
1
2
1
1
1
2
1
2
2
5
1
3
2
1
1
3
2
3
2
1
2
1
1
3
1
2
3
1
1
1
1
1
2
1
1
4
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
2
3
1
2
3
1
4
3
1
1
1
98
2
3
1
1
2
1
5
1
2
1
5
5
1
1
1
3
1
2
2
2
1
1
31
4
1
5
1
1
1
1
2
2
1
10
1
6
1
5
1
1
1
1
2
1
2
1
2
1
7
1
3
1
1
1
1
17
4
2
2
1
1
2
1
3
1
1
1
1
2
1
1
4
3
1
1
1
2
1
1
1
1
2
1
17
1
4
2
1
1
2
1
1
1
1
3
10
1
1
1
1
1
2
2
1
3
2
1
3
1
27
24
1
1
1
2
1
1
1
1
2
2
1
3
1
1
1
1
3
1
4
7
10
1
1
6
4
5
67
3
5
1
16
1
2
5
7
1
3
1
1
3
1
1
2
1
3
2
16
1
2
1
2
1
3
1
1
1
2
1
1
1
1
8
2
1
1
4
1
1
1
1
4
6
2
1
2
2
1
1
1
1
2
1
1
1
1
1
1
3
2
1
50
2
1
4
1
1
2
2
1
2
4
11
16
20
2
8
1
1
1
1
1
2
6
1
1
1
2
1
1
1
1
1
2
1
1
5
5
3
1
1
5
2
1
1
4
1
1
3
10
1
1
2
1
2
5
2
2
4
4
1
3
7
4
5
1
1
1
14
1
1
1
1
1
1
1
2
6
1
1
1
1
1
3
1
1
1
3
6
3
4
1
1
1
8
1
9
2
1
1
2
13
2
1
2
2
5
2
4
1
1
3
1
3
1
1
1
4
12
2
1
1
1
1
2
3
4
3
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
6
2
1
1
2
34
2
2
1
2
1
13
1
3
102
29
4
30
1
1
1
1
1
3
9
2
42
2
6
1
2
1
7
1
1
4
1
1
1
1
1
2
4
3
1
2
1
3
5
1
1
1
1
2
16
4
2
1
1
1
1
1
2
4
5
6
3
41
1
1
31
10
1
1
4
1
1
2
1
3
3
1
1
1
2
2
4
1
5
2
1
1
2
2
1
1
1
1
1
1
2
1
2
2
2
44
2
82
1
1
1
2
1
2
1
1
3
6
1
1
4
1
2
6
2
2
2
2
1
1
2
1
1
3
1
1
1
1
2
4
3
1
10
1
1
1
2
1
2
1
1
2
1
3
1
1
3
1
2
1
7
4
2
4
3
2
16
3
1
3
5
1
22
1
5
2
1
1
1
1
1
2
2
1
3
3
1
3
1
2
1
2
1
1
8
2
20
4
2
1
2
1
3
7
1
2
1
1
2
5
15
1
1
4
1
2
2
2
5
5
1
1
1
7
1
2
1
1
5
1
1
1
1
1
1
1
1
2
3
2
20
1
2
6
2
1
1
1
6
1
1
1
82
1
2
8
2
1
2
5
3
1
1
1
1
3
1
1
1
4
2
1
1
2
1
1
1
10
4
3
4
1
1
1
1
1
4
1
1
2
2
1
2
2
5
2
1
1
2
1
2
5
1
1
3
1
1
2
1
1
3
1
1
10
11
1
2
4
3
1
6
1
47
1
1
20
2
4
4
1
1
1
1
1
1
4
1
2
1
1
1
1
1
9
6
1
1
4
1
4
1
1
1
1
1
1
3
3
1
3
1
2
1
11
5
5
1
1
1
1
1
5
3
1
1
1
1
1
1
1
1
2
1
3
9
4
1
1
2
1
1
1
7
2
1
1
2
1
1
1
2
48
1
1
1
6
1
1
2
3
1
4
1
1
6
4
4
3
1
8
5
1
2
1
1
1
1
2
3
1
1
3
10
1
1
1
1
1
1
3
8
1
1
4
1
1
1
1
2
1
3
1
1
1
1
1
3
1
4
2
4
2
1
1
1
2
1
2
2
1
2
1
12
3
1
1
4
1
1
2
11
1
2
1
13
1
3
1
1
1
1
2
1
5
1
1
1
2
2
8
1
3
1
3
1
3
1
1
3
1
1
1
1
2
1
1
1
1
1
173
1
3
1
6
43
1
1
2
1
2
5
1
2
1
3
1
12
2
7
1
1
1
1
7
1
2
2
1
2
2
2
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
9
3
1
2
5
2
3
1
1
1
98
28
2
1
1
1
1
6
2
1
1
1
1
1
1
3
4
2
2
2
3
4
1
1
6
1
2
1
1
6
1
1
1
1
1
3
1
5
3
5
238
1
1
1
4
2
2
1
5
1
1
1
1
1
1
2
1
27
1
2
2
1
10
4
1
1
1
2
1
1
3
1
4
1
1
1
6
1
5
1
1
1
1
1
1
1
3
2
22
1
1
62
1
3
2
1
1
2
1
1
1
1
1
1
1
1
5
1
3
404
1
1
12
5
2
6
2
3
1
6
5
1
3
4
1
1
4
4
1
1
1
1
1
1
2
3
2
3
3
2
6
1
6
6
1
10
1
1
2
2
1
1
3
1
1
1
2
1
4
1
2
2
1
3
2
1
1
2
2
1
2
1
1
36
1
3
1
1
1
4
1
8
1
2
2
1
2
2
1
2
1
1
1
1
1
3
1
1
3
1
1
1
2
2
1
5
8
1
1
1
2
1
1
1
2
1
1
1
1
2
24
1
1
1
8
15
1
2
1
1
2
4
1
2
1
1
1
1
3
