1
1
1
1
1
1
1
1
1
1
1
1
5
2
1
4
1
1
1
2
1
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
3
2
1
1
1
2
1
1
5
1
8
1
6
1
8
1
1
1
2
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
28
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
5
1
1
2
1
3
2
3
1
1
1
1
1
1
1
1
8
1
1
5
1
1
1
3
2
5
4
1
1
1
1
1
4
1
2
2
1
2
6
1
3
3
1
1
1
1
1
6
1
5
1
1
1
5
1
1
1
1
1
1
4
1
1
3
1
5
2
1
1
51
1
1
3
2
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
4
1
2
2
1
1
1
1
5
7
2
1
1
2
1
1
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
8
2
1
3
1
4
1
4
3
50
1
1
1
1
1
1
1
1
1
1
1
1
3
18
1
7
6
1
1
2
8
3
3
1
2
1
1
2
7
1
1
1
1
1
1
1
3
1
1
2
1
1
8
1
1
2
6
2
1
1
1
1
3
3
1
108
1
1
1
4
4
5
3
2
1
1
1
7
1
1
1
2
21
3
1
1
1
2
3
1
1
3
1
1
4
1
1
1
4
1
1
2
3
6
1
1
1
2
324
16
1
4
1
1
1
1
1
1
6
1
1
1
3
1
1
2
2
1
1
1
1
1
9
1
3
2
6
1
1
1
2
2
1
1
1
2
3
1
1
3
1
12
1
1
1
1
32
2
2
1
2
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
4
2
1
1
1
3
2
1
1
1
2
1
1
1
3
1
1
1
6
8
1
1
1
5
2
1
1
1
1
4
1
1
1
2
4
1
2
1
1
4
1
2
1
1
1
2
1
7
1
1
1
2
1
10
1
1
1
1
1
1
2
1
1
2
8
1
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
75
1
1
1
2
1
2
1
1
1
1
1
1
6
1
1
3
1
2
7
3
2
1
1
2
1
1
1
1
1
1
1
2
2
2
1
1
197
1
148
1
2
3
36
1
1
1
1
1
16
3
1
5
4
1
2
3
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
4
2
1
1
1
2
8
1
1
1
1
1
1
2
6
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
2
2
1
1
2
10
1
1
7
1
8
2
1
4
4
1
3
1
2
2
1
1
1
7
2
20
1
1
1
1
4
1
1
1
1
10
1
2
1
1
1
430
2
1
2
2
1
1
9
1
1
1
1
28
1
1
1
1
1
1
1
2
1
1
1
1
9
1
1
5
1
1
3
1
2
1
14
1
2
1
1
10
1
3
1
2
1
2
1
2
1
1
1
2
1
3
1
1
1
14
1
1
2
1
1
2
9
6
1
7
2
2
2
1
1
6
2
1
1
6
1
1
6
1
2
1
6
1
1
2
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
3
1
5
1
63
1
1
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
4
1
2
1
1
2
1
1
2
1
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
5
1
1
2
2
2
1
2
1
2
5
1
1
1
1
2
1
3
1
1
54
1
4
3
1
1
1
2
2
1
1
3
38
1
1
1
1
1
1
1
1
2
4
2
1
1
3
2
4
1
1
2
4
1
1
2
1
1
7
1
2
1
1
3
4
1
1
1
2
3
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
30
4
2
23
3
1
1
1
17
1
1
1
1
8
1
3
1
2
311
3
1
1
2
1
1
1
2
78
1
2
2
1
7
2
2
1
2
1
1
6
2
1
2
2
1
1
90
2
1
1
2
1
3
2
1
1
1
1
3
1
2
1
5
1
1
1
1
1
2
5
3
1
1
1
3
2
1
9
5
1
1
1
1
1
2
2
1
1
5
1
1
1
1
5
1
1
3
1
7
1
1
1
2
4
2
1
9
1
4
7
1
1
1
1
1
1
1
1
1
1
2
1
157
2
1
1
1
1
1
2
1
1
1
9
3
1
1
1
6
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
2
5
1
1
1
2
1
1
2
1
1
1
1
1
1
22
1
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
2
1
1
1
2
1
3
2
1
2
1
3
1
2
9
17
1
2
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
1
1
4
1
4
1
14
1
1
1
1
4
2
1
1
1
1
2
4
1
2
1
2
5
2
1
1
1
1
2
1
38
1
1
1
3
2
1
1
1
1
3
1
1
1
1
1
2
1
9
1
4
1
4
1
1
1
1
1
6
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
2
2
1
1
1
1
19
1
3
1
1
1
7
1
1
1
2
6
1
1
3
1
2
2
1
1
1
1
1
2
1
1
3
1
3
2
1
2
1
1
2
1
2
1
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
1
1
1
5
202
4
2
2
1
1
2
2
1
1
1
4
1
1
2
4
2
1
2
26
3
1
1
1
1
1
3
1
1
1
1
1
2
1
1
8
1
2
1
1
2
1
1
1
1
3
1
1
1
2
5
1
1
1
2
1
1
3
1
3
2
1
1
2
1
10
1
46
10
1
1
3
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
5
1
1
6
1
1
9
6
1
1
4
1
3
13
1
1
2
2
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
8
1
2
1
3
1
1
1
1
1
1
2
2
1
1
1
1
2
4
1
1
3
2
1
1
1
2
1
2
1
1
2
3
8
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
3
1
4
2
1
1
1
2
5
1
1
1
3
1
1
1
1
1
1
2
3
3
1
1
3
1
1
1
15
4
4
1
4
2
1
1
1
1
2
9
1
30
1
1
1
5
1
4
1
1
1
2
1
2
3
3
1
1
1
2
1
1
1
1
1
1
1
3
2
3
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
163
1
1
105
1
2
2
1
1
1
1
1
1
1
1
1
1
6
3
1
10
1
1
1
1
1
1
1
1
4
1
3
1
1
1
7
1
14
1
3
1
1
2
2
1
2
1
4
1
1
1
2
1
2
3
2
1
1
1
3
1
1
1
1
1
1
1
3
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
42
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
20
1
1
1
1
1
1
1
1
625
1
1
2
2
1
3
1
1
1
2
1
2
1
2
1
1
1
1
2
4
1
3
1
1
1
1
1
2
1
1
1
1
2
3
1
731
2
4
1
1
6
3
2
1
1
3
1
1
1
1
2
1
2
1
1
1
1
7
1
3
3
1
2
1
1
2
1
1
1
3
1
2
1
1
1
3
1
2
1
1
5
2
4
4
1
1
1
4
3
1
1
1
1
1
7
1
1
1
1
1
1
2
1
2
2
1
2
1
2
1
7
2
1
1
1
2
6
2
1
1
1
2
1
3
1
1
1
3
1
2
2
6
2
2
3
1
1
18
2
1
3
1
1
1
84
16
5
8
2
7
3
3
2
1
1
1
1
6
2
2
1
2
1
2
1
1
1
1
3
1
1
1
1
1
3
1
9
2
1
1
1
1
2
1
1
1
1
2
3
1
5
4
2
4
3
2
1
1
1
1
6
61
1
32
2
36
2
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
7
1
2
2
1
3
1
2
1
5
1
1
1
10
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
8
2
1
6
1
1
2
1
1
1
2
1
1
1
2
1
1
3
2
1
4
2
2
1
4
1
1
2
1
4
12
1
1
2
4
1
1
1
1
1
2
1
8
2
7
1
1
1
2
1
1
1
1
11
1
2
2
1
1
1
6
4
1
1
1
33
1
1
1
1
1
1
1
1
1
6
4
4
1
1
1
2
1
3
1
3
1
3
4
1
1
3
5
2
1
2
1
1
13
10
2
1
2
1
1
10
10
2
3
1
1
1
3
1
28
1
2
4
2
1
1
1
2
1
1
1
1
2
2
1
3
1
1
1
1
1
5
1
3
1
1
1
1
3
1
1
1
1
1
1
1
4
6
3
1
1
1
3
1
2
34
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
7
1
1
1
1
1
1
1
5
1
2
1
1
1
4
1
1
1
3
1
1
1
1
1
1
6
2
2
1
1
2
7
1
1
4
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
9
1
2
1
1
1
1
1
2
1
2
2
1
1
2
1
2
1
1
1
1
1
1
1
9
2
1
1
5
1
2
1
2
1
2
2
1
1
1
5
3
6
1
1
1
1
1
3
2
2
1
1
1
3
5
2
1
2
1
1
1
1
8
1
1
1
2
1
2
2
1
1
1
1
6
2
1
1
3
1
3
23
4
1
1
1
5
4
1
2
1
4
5
2
2
2
2
1
3
1
2
24
2
21
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
13
9
5
1
5
1
2
3
1
2
2
1
2
2
2
3
2
4
1
2
1
4
3
2
1
2
1
1
1
1
1
1
1
1
1
21
1
1
1
1
1
6
1
1
1
1
4
1
1
2
3
1
2
2
1
1
1
1
1
9
1
1
1
1
1
3
1
1
1
1
3
1
5
1
1
1
1
1
1
1
1
1
1
10
17
2
1
6
2
1
1
1
1
84
1
2253
1
6
1
2
1
2
1
661
1
1
1
14
2
4
5
2
1
1
1
1
1
1
1
3
3
19
27
1
1
111
1
7
3
6
3
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
7
50
1
1
1
3
3
1
15
5
2
1
1
4
9
1
2
3
79
1
2
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
6
12
1
1
1
2
1
1
1
1
1
1
5
1
1040
1
20
49
2
1
1
1
1
1
1
1
3
1
3
7
6
5
1
2
3
1
1
4
6
48
6
14
31
1
1
2
1
1
2
2
1
2
1
4
1
1
3
2
1
1
1
185
2
1
6
1
1
1
1
1
1
10
1
1
1
1
1
3
1
1
1
1
1
7
4
1
1
3
1
1
1
2
1
4
3
2
1
14
2
1
64
1
2
4
1
3
1
10
1
1
1
1
1
2
1
1
2
1
4
1
1
3
1
4
1
7
4
3
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
6
1
1
1
3
1
1
1
4
1
1
1
1
1
108
1
1
1
1
1
1
1
1
2
1
2
1
1
4
4
3
1
1
2
2
3
1
1
6
2
1
1
1
1
2
1
1
2
1
1
2
1
4
1
2
1
23
1
1
1
231
6
3
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
3
6
2
2
2
1
1
2
1
1
2
1
1
1
7
5
1
3
1
2
1
2
1
1
1
1
6
2
1
1
1
1
3
7
1
2
1
2
1
1
3
5
7
1
1
1
2
49
17
1
2
3
1
1
2
1
1
1
4
1
3
1
1
1
1
2
4
1
1
2
1
5
3
1330
1
4
1
2
1
1
1
1
1
4
1
4
1
2
1
1
2
1
1
2
1
1
1
1
4
1
1
1
1
1
3
2
1
5
2
1
1
1
1
2
1
1
1
2
1
1
3
2
2
1
1
1
3
1
1
1
1
7
111
1
2
35
1
1
30
1
1
4
1
1
1
4
2
1
1
1
537
4
1
2
1
1
1
2
1
1
6
31
1
1
1
1
1
1
2
1
1
1
1
2
1
1
9
1
1
1
1
2
9
1
1
9
2
1
2
1
1
2
74
3
13
2
1
1
3
1
1
2
1
1
1
1
2
2
2
1
2
1
3
1
1
72
1
1
1
1
2
1
11
1
1
1
1
2
2
1
2
3
1
1
1
1
1
1
1
1
1
8
23
1
2
3
1
1
1
1
4
1
1
1
1
1
1
1
3
1
1
6
24
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
4
2
1
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
11
1
18
23
1
2
14
2
2
1
2
3
3
1
1
1
3
3
1
1
1
2
1
4
1
1
2
1
1
1
1
1
4
1
1
4
2
4
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
3
1
1
2
1
1
2
2
1
1
1
1
2
2
1
1
1
2
2
8
1
1
1
1
1
2
1
3
1
1
8
5
1
1
1
2
1
1
3
290
1
1
2
1
1
4
2
1
1
2
325
2
1
1
1
2
1
2
1
1
1
8
9
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
8
1
1
1
2
1
1
5
2
1
1
3
1
2
1
1
2
1
13
12
3
2
2
22
1
1
15
3
1
2
1
1
2
1
1
1
1
2
4
1
1
40
2
3
1
1
1
3
2
1
1
3
3
4
4
3
1
2
1
3
1
17
1
1
1
2
1
1
3
1
1
2
2
4
4
1
2
1
5
1
7
4
2
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
2
5
1
1
4
1
1
1
1
1
1
2
15
1
2
1
8
1
1
1
1
1
1
2
1
1
1
1
1
9
1
1
1
1
1
10
1
1
1
3
3
2
1
1
1
1
4
1
1
1
1
8
1
2
4
2
1
33
1
1
4
1
2
1
1
1
3
1
1
2
1
1
1
1
2
1
1
5
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
4
5
2
1
2
1
2
1
1
1
2
1
1
1
1
3
1
1
1
2
2
1
1
1
3
1
33
1
1
1
2
27
1
1
1
27
3
1
1
2
2
81
1
1
1
1
2
1
1
1
1
1
1
61
6
1
2
1
1
1
5
246
4
1
1
2
1
19
1
1
1
44
1
1
1
1
5
1
2
2
1
2
5
2
1
3
1
2
1
3
1
1
1
22
4
4
2
2
4
617
3
2
1
2
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
4
3
2
3
2
8
5
1
3
1
3
1
1
4
2
2
1
1
1
3
1
3
9
2
5
3
3
1
1
11
1
1
2
1
1
1
3
1
1
1
2
10
1
1
125
31
1
1
1
1
2
11
2
5
1
152
13
3
2
1
3
2
1
1
2
1
4
1
1
2
1
10
1
1
8
1
2
2
5
1
9
4
68
2
22
8
1
1
1
1
1
2
3
2
1
8
3
1
2
1
1
1
1
1
1
1
185
9
1
2
2
1
1
1
1
1
1
1
4
1
7
1
2
3
1
1
1
1
1
1
17
2
1
1
1
64
144
5
2
1
2
2
93
2
18
1
2
4
29
4
4
3
1
32
1
5
3
1
10
1
2
1
1
2
41
1
1
1
15
1
1
1
1
3
2
1
1
5
2
2
1
1
2
1
20
1
2
1
2
1
4
1
1
1026
2
3
1
1
1
1
1
9
3
1
1
1
2
1
1
1
2
1
1
1
1
3
1
1
1
4
1
3
3
2
1
17
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
3
2
1
1
2
1
44
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
3
1
7
2
1
4
2
1
1
4
1
1
2
1
1
1
1
2
1
2
2
2
2
3
1
2
1
13
2
16
1
3
1
1
1
1
1
1
1
1
4
1
2
1
1
1
3
1
1
1
3
2
1
2
3
4
1
4
1
1
1
1
1
1
15
1
1
1
1
1
2
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
3
1
1
1
10
1
4
4
1
1
2
1
1
3
1
1
1
5
1
2
1
2
1
1
2
1
2
2
1
15
2
1
1
2
2
2
1
7
2
2
1
2
1
2
1
3
1
3
1
4
1
1
1
1
1
1
25
1
1
6
1
1
2
1
1
2
2
1
3
1
1
1
2
1
1
1
1
3
1
1
50
1
118
1
1
1
1
1
1
1
1
1
2
5
1
1
1
11184
1
1
1
2
3
1
1
1
4
1
3
1
1
2
1
3
1
1
1
1
1
1
1
2
2
1
2
1
1
2
5
2
2
2
2
1
1
1
5
3
1
1
1
6
2
3
1
1
1
1
1
1
1
1
5
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
7
12
1
1
1
5
1
1
1
3
1
8
1
1
1
2
4
2
9
6
4
1
1
21
1
1
2
1
4
1
7
7
1
1
22
3
1
3
1
1
1
1
1
1
2
3
2
1
2
3
4
1
1
3
6
1
1
2
1
1
1
2
1
1
1
1
1
1
3
2
1
1
5
1
1
1
29
1
3
1
1
1
1
3
4
1
2
1
1
5
1
1
1
3
2
3
2
1
1
4
2
1
11
1
2
1
5
1
1
1
1
1
1
3
2
1
1
2
1
3
2
3
2
3
1
2
2
1
1
3
3
1
2
4
1
1
1
11
7
3
7
1
1
1
2
1
2
2
2
8
1
1
1
1
2
1
2
3
1
2
1
1
1
1
3
2
1
2
3
1
1
1
1
1
2
1
1
1
1
3
2
1
1
1
2
1
1
2
1
2
1
1
2
2
1
6
3
2
1
6
1
1
1
1
1
12
1
1
2
2
1
1
1
1
1
1
2
1
1
1
3
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
53
1
1
1
1
2
1
1
1
1
1
1
1
1
8
1
2
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
2
1
3
1
2
1
3
1
13
1
1
2
1
3
1
3
1
3
1
1
4
1
4
1
1
1
4
1
1
1
1
1
93
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
2
2
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
3
2
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
5
5
1
1
1
4
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
3
1
1
1
4
2
3
4
1
1
1
1
2
1
1
1
2
1
3
3
2
1
1
1
3
1
1
81
1
2
1
28
1
1
1
1
3
1
119
2
1
4
2
9
3
1
1
2
1
2
1
1
1
1
1
3
1
7
1
1
5
1
1
1
1
2
1
6
1
1
1
1
1
3
6
1
4
1
1
2
1
3
3
1
2
2
1
1
75
1
6
1
6
1
2
4
4
4
1
5
2
1
15
2
1
10
1
1
2
2
16
1
1
3
2
1
2
1
2
1
1
1
2
1
14527
1
7
3
1
1
1
1
1
22
41
1
1
1
2
1
2
78
1
1
2
1
3
1
3
1
1
2
1
2
1
1
1
1
1
6
1
1
1
11
1
1
2
2
2
1
1
3
1
2
1
1
1
444
10
568
1
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
1
7
10
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
7
1
3
2
1
1
1
1
9
5
1
5
2
1
1
1
3
1
1
3
2
1
2
1
1
1
9
1
1
13
1
2
1
1
2
1
10
3
1
1
2
1
1
2
1
33
42
1
1
1
2
1
1
1
1
4
1
3
1
1
4
9
2
1
9
1
3
2
5
1
1
1
1
1
2
2
1
9
5
14
1
2
1
2
1
2
1
1
5
1
1
1
1
2
1
11
1
2
1
2
1
3
8
1
1
3
1
3
3
1
2
1
1
1
11
2
1
1
3
1
2
3
1
1
1
1
1
4
1
1
1
1
4
1
1
3
1
1
2
1
2
1
2
3
1
28
1
1
1
1
2
1
2
2
1
4
1
2
1
1
5
1
2
1
1
2
1
3
1
3
3
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
304
4
2
2
3
2
1
1
1
1
1
1
1
1
5
1
1
3
1
2
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
2
4
5
2
1
1
1
1
1
2
1
1
1
1
8
1
1
2
1
1
1
105
1
1
1
4
1
1
1
5
1
1
1
1
1
1
3
1
1
1
5
4
2
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
10
1
25
2
1
1
1
1
3
1
1
1
1
1
1
2
2
2
4
1
1
1
1
1
1
2
1
1
2
2
1
1
3
3
2
1
1
1
1
2
2
38
19
2
1
5
28
8
3
2
32
1
1
1
1
2
3
1
1
1
7
1
3
17
1
1
11
1
3
205
5
2
2
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
2
4
1
4
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
223
1
1
2
1
1
2
10
1
1
5
1
1
2
19
1
3
6
1
1
3
1
1
1
55
6
1
1
1
2
1
1
1
1
1
2
2
2
1
10
1
1
1
1
1
10
1
2
2
4
1
1
1
1
1
1
1
2
1
1
1
25
1
5
1
1
2
1
3
1
3
1
1
2
8
4
1
1
3
1
1
1
1
1
1
2
4
1
2
1
2
1
1
1
1
1
5
2
1
2
1
2
1
1
5
6
1
23
1
1
1
1
2
1
3
1
1
1
1
1
1
2
2
1
1
1
1
1
1
18
2
1
1
2
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
68
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
2
1
1
1
1
1
1
5
3
1
1
1
1
4
1
1
2
1
1
1
5
1
1
1
1
2
2
2
9
1
1
1
1
1
1
4
1
2
2
1
1
1
4
1
1
38
10
3
1
1
8
2
1
1
1
1
1
1
1
1
12
1
1
2
1
1
1
1
1
7
1
1
4
1
6
2
1
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
2
2
1
2
2
7
1
1
1
1
1
1
4
2
1
5
1
2
1
1
1
2
1
23
2
1
5
3
1
2
1
10
1
1
1
2
1
6
1
1
1
2
17
1
1
6
1
3
2
3
1
2
1
2
1
2
2
1
2
1
1
2
2
1
2
3
1
3
1
1
2
2
1
1
1
1
2
2
2
1
2
1
1
2
3
6
1
1
1
2
1
1
2
1
1
4
2
2
1
1
2
2
1
27
90
3
7
1
4
1
1
1
2
1
3
4
1
2
2
5
2
7
2
3
2
1
1
2
1
3
1
1
1
1
7
1
2
1
2
4
3
1
1
1
2
1
1
1
2
5
1
1
1
2
3
3
2
1
4
1
1
1
1
1
2
1
4
1
2
2
1
1
1
1
3
1
2
3
3
1
1
1
1
1
1
3
1
1
2
3
2
1
1
3
5
1
1
1
2
3
1
1
1
1
1
1
8
5
2
10
1
2
3
8
2
4
1
1
1
1
1
4
3
1
1
1
1
1
2
4
1
23
3
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
2
1
4
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
5
1
1
1
1
1
3
9
1
1
3
7
1
1
1
1
1
3
1
3
1
1
1
11
1
6
1
2
9
2
5
2
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
7
1
1
1
3
1
13
3
1
1
1
3
1
1
1
1
1
3
4
1
1
3
1
2
1
5
2
1
3
2
1
1
1
1
1
1
1
1
1
1
2
1
1
24
7
3
1
1
1
1
1
2
3
1
3
1
2
1
1
2
1
12
1
1
2
1
1
1
4
1
3
1
3
3
1
1
1
2
2
1
3
3
10
2
1
2
2
1
1
13
688
3
8
34
1
1
1
2
2
1
1
2
3
1
4
1
7
3
59
11
4
2
9
2
48
9
8
1
18
5
4
57
7
7
2
1
2
2
1
1
1
1
1
18
3
1
2
7
1
1
1
1
1
1
4
1
1
3
2
3
4
1
4
1
2
2
1
1
5
1
2
3
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
2
1
1
2
1
1
1
1
1
4
3
3
1
1
1
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
2
2
3
1
1
1
1
1
1
1
2
4
1
2
3
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
3
3
1
1
1
1
1
1
3
2
2
1
5
1
3
2
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
1
1
1
1
1
1
2
1
1
7
1
3
1
4
1
1
3
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
4
1
1
1
1
5
1
3
1
1
1
3
1
2
1
2
2
1
1
1
2
1
3
2
1
2
1
1
1
1
3
1
1
1
1
3
1
1
1
1
2
1
1
2
1
2
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
3
2
1
1
1
1
2
1
1
1
4
3
2
1
2
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
7
3
2
2
1
1
2
1
5
1
3
3
1
1
1
1
2
1
1
1
1
1
5
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
2
1
1
1
2
3
1
2
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
4
1
1
1
3
1
2
1
3
1
1
1
1
3
1
1
1
1
2
1
1
1
2
2
2
1
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
2
1
2
7
1
1
1
1
1
7
1
2
3
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
4
1
3
1
1
1
2
1
1
1
2
1
1
1
2
1
3
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
4
1
2
2
2
1
2
1
1
2
1
4
1
1
3
3
1
1
2
2
1
2
1
2
2
1
2
2
1
2
1
1
1
1
1
1
3
1
3
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
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
1
1
1
2
1
1
1
1
2
1
3
3
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
6
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
166
1
1
1
1
1
1
2
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
1
1
1
1
1
1
4
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
4
2
2
7
1
2
1
3
2
1
1
1
1
3
1
2
2
1
2
2
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
12
1
1
1
6
2
1
1
1
1
5
1
1
1
4
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
7
1
2
3
1
75
7
1
2
2
1
1
2
1
1
1
2
3
1
1
1
1
1
1
6
1
1
1
1
1
1
2
2
1
1
1
1
4
278
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
12
1
1
1
1
1
1
8
1
4
3
8
1
1
1
1
1
2
1
2
1
1
3
1
1
4
379
2
1
3
1
65
2
4
1
1
1212
2
2
2
1
1
1
1
1
2
1
1
1
1
1
2
3
2
10
2
3
1
8
1
1
5
1
1
1
2
289
2
1
1
1
1
1
1
1
11
1
1
1
2
1
3
1
1
2
1
1
2
1
1
4
1
2
2
1
1
1
1
4
1
1
1
1
1
1
2
1
4
1
2
1
1
6
1
1
4
1
1
2
1
4
1
1
2
2
1
1
2
1
4
1
1
1
4
2
1
1
1
3
1
1
2
4
1
1
3
2
2
181
2
1
1
1
4
3
3
1
3
1
4
2
3
2
1
2
1
3
3
3
2
1
1
2
2
1
1
1
17
1
1
1
1
1
1
1
1
1
1
4
1
1
5
4
1
24
1
1
1
1
1
12
1
1
8
1
3
1
5
1
5
1
1
1
1
4
5
1
1
2
4
2
1
2
1
4
1
27
1
3
1
1
1
1
2
1
3
10
6
1
4
2
11
1
1
1
1
5
6
1
1
1
1
2
3
2
1
1
1
2
11
1
1
4
2
2
3
1
3
1
8
1
1
2
8
3
4
1
1
1
1
1
1
1
1
1
2
3
10
1
2
1
1
3
1
1
1
1
3
2
1
1
3
2
2
3
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
4
1
1
1
2
4
1
2
2
1
1
1
1
1
1
1
2
1
1
3
19
2
2
1
8
2
6
2
2
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
3
1
3
1
1
2
1
2
1
2
1
1
1
1
1
1
1
2
7
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
6
1
2
1
2
1
23
1
1
1
1
3
4
2
1
1
2
6
1
1
6
1
1
3
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
13
1
1
2
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
18
35
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
9
1
1
1
13
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
1
2
2
1
5
5
1
1
1
1
1
14
1
6
2
1
1
2
1
2
5
1
2
2
3
1
1
3
1
1
1
1
1
2
2
1
2
2
1
1
1
2
3
1
1
1
2
1
1
1
2
1
1
11
5
16
1
1
3
2
1
7
2
2
1
1
3
1
1
6
2
1
33
1
2
2
1
1
1
1
1
3
1
1
7
1
1
1
1
1
1
2
1
1
2
5
1
1
1
1
2
1
1
3
2
1
3
2
10
3
1
5
2
5
2
65
2
3
2
1
1
1
2
2
1
1
1
2
2
3
1
17
1
1
13
1
1
6
6
1
1
3
1
2
5
1
2
1
88
1
2
2
6
2
33
20
1
1
3
2
2
1
7
1
1
1
1
2
1
5
1
3
1
3
1
2
1
1
1
3
1
1
3
3
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
17
2
1
1
4
2
161
2
1
10
1
3
6
2
1
1
1
1
1
1
5
6
1
1
97
1
3
55
1
1
947
3
2
1
1
1
1
1
3
1
26
1
21
46
1
2
1
1
2
1
1
1
1
4
2
1
1
2
2
1
2
1
1
4
1
1
1
1
3
6
7
3
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
3
3
1
1
1
1
1
3
4
2
1
1
1
1
2
2
1
1
2
8
3
1
1
1
1
1
3
2
1
1
1
1
2
2
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
5
1
1
1
14
2
3
1
2
1
17
3
1
2
1
7
1
2
2
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
3
2
2
2
1
1
1
3
1
1
1
1
1
1
7
1
1
2
1
4
1
1
1
3
2
1
3
1
2
2
1
17
1
1
3
4
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
201
2
10
1
3
1
1
1
3
51
1
1
1
1
15
1
1
1
1
1
27
2
1
1
2
1
1
1
1
6
1
1
1
4
1
1
1
1
1
1
1
12
1
6
2
1
1
1
1
1
2
1
1
24
5
1
5
1
5
1
1741
1
2
1
2
1
2
1
1
18
1
1
5
4
1
2
1
3
1
1
2
6
2
3
1
1
3
2
1
2
1
1
1
2
2
2
1
1
1
1
5
1
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
3
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
6
1
1
1
1
2
2
6
1
3
1
1
1
1
1
1
2
9
2
4
3
1
40
1
1
2
1
1
1
2
1
2
1
1
3
1
2
15
2
2
1
2
2
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
4
1
1
1
2
2
1
1
2
1
2
1
2
2
1
1
1
1
1
1
2
3
1
1
1
4
2
1
1
1
1
1
2
1
3
1
1
5
1
1
1
5
1
1
1
5
1
1
1
24
1
1
1
1
1
1
1
3
1
2
3
2
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
2
2
2
1
2
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
5
2
1
1
1
3
2
1
2
2
2
4
1
7
1
3
2
1
1
2
1
6
1
1
2
3
1
1
1
4
1
1
4
2
1
1
1
2
1
1
1
1
2
1
1
1
12
1
1
3
5
1
2
1
6
1
1
4
2
1
1
2
1
2
1
1
2
1
3
1
1
2
1
2
1
1
1
3
1
1
2
4
2
3
5
2
1
1
1
4
1
1
1
1
1
1
2
1
2
1
3
2
1
1
1
2
1
4
2
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
2
4
5
1
3
1
3
1
1
1
2
3
2
1
2
7
1
1
1
1
1
2
1
5
2
2
2
1
3
1
1
2
1
1
5
1
1
2
2
1
1
9
1
1
1
1
3
1
5
1
2
1
2
5
1
1
1
1
1
1
6
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
5
1
14
1
1
4
2
1
1
5
3
1
2
3
1
1
2
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
4
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
3
26
1
2
1
1
3
1
1
1
1
1
2
1
2
3
1
1
1
4
3
2
1
5
1
1
3
1
18
1
1
7
2
1
1
1
5
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
4
1
1
4
1
2
1
1
2
2
1
1
1
1
1
1
1
1
21
3
3
1
4
1
1
3
2
2
2
1
1
1
1
1
1
1
1
1
2
2
3
1
3
2
1
1
1
1
1
1
1
2
1
7
1
4
1
3
1
1
1
1
2
1
1
2
2
1
3
1
1
1
1
1
1
1
4
1
1
2
1
6
8
1
1
20
1
4
1
4
1
2
2
2
1
17
1
3
3
2
5
12
4
1
1
4
1
1
3
1
1
1
2
1
1
2
1
1
40
6
1
1
1
2
61
1
1
1
2
2
1
1
2
2
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
3
1
1
14
1
10
1
11
9
1
3
2
1
1
2
2
1
2
1
1
1
13
2
5
1
1
1
5
1
2
1
1
1
1
1
1
3
1
8
1
1
2
1
1
204
1
1
1
1
1
3
19
1
10
55
1
2
3
3
1
1
1
3
1
2
2
4
3
3
3
1
1
1
1
8
4
9
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
7
1
4
1
2
1
3
1
1
9
1
2
1
1
6
1
3
1
7
2
1
1
2
1
1
1
1
1
1
1
1
10
1
3
1
1
2
1
13
4
1
1
4
1
1
1
1
1
1
1
2
3
2
2
2
1
693
2
1
1
1
1
1
1
1
1
1
3
31
1
2
14
4
1
1
1
1
1
10
1
1
2
2
1
1
4
1
1
1
1
1
1
1
3
1
2
2
1
11
1
1
1
2
7
1
1
2
1
1
2
2
5
1
1
3
1
1
1
3
1
3
1
2
1
1
1
2
5
1
1
4
1
1
13
2
1
3
6
1
3
3
1
1
1
1
2
4
1
1
8
6
3
1
1
1
1
2
1
1
1
4
2
1
1
18
1
2
1
6
2
1
1
1
1
1
1
1
3
2
3
6
3
6
1
15
3
2
4
4
7
1
1
2
4
1
1
1
2
1
1
157
1
2
2
1
3
2
1
1
6
1
1
5
1
3
2
1
3
1
13
2
1
4
3
2
1
1
1
3
1
1
4
2
1
1
1
7
1
2
1
1
1
6
4
11
2
1
2
1
1
2
6
1
6
2
1
1
1
1
1
2
5
1
2
1
1
1
4
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
2
20
1
17
1
1
1
1
1
3
5
2
2
3
8
1
2
1
4
1
1
1
1
1
1
2
1
1
1
3
1
1
1
1
2
1
3
1
1
3
2
1
1
1
2
3
15
1
6
1
1
1
3
1
4
1
2
1
1
1
481
24
1
1
1
2
1
1
1
4
3
4
1
1
1
25
1
2
1
1
2
1
1
4
1
1
1
1
1
2
1
1
1
1
1
5
3
1
2
1
2
1
2
2
1
1
4
14
1
2
1
1
1
1
3
2
34
11
1
1
1
1
1
2
2
3
1
1
2
1
1
1
1
1
2
2
3
3
1
4
2
1
3
1
1
4
2
1
1
1
1
1
2
1
1
1
1
2
1
1
4
1
1
1
1
1
2
2
2
1
1
5
1
2
1