29
3
2
2
20
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
1
1
2
2
11
1
1
1
1
1
1
7
1
1
3
1
1
1
1
2
2
1
1
1
1
1
6
2
1
1
1
1
7
13
3
3
2
3
5
1
1
1
3
6
4
3
3
1
1
1
1
3
1
1
1
1
1
3
1
1
2
1
1
4
1
1
1
3
1
2
1
1
1
1
2
1
13
2
1
1
1
2
1
1
3
14
1
1
3
8
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
2
2
2
1
1
3
2
2
2
1
2
6
1
1
1
1
5
1
1
1
1
2
1
3
1
1
1
9
2
1
1
2
3
1
1
2
4
121
1
1
2
1
4
2
1
3
1
4
2
2
2
1
2
1
2
1
1
4
1
2
1
2
1
1
4
3
1
1
1
1
10
1
1
1
83
1
76
2
1
2
29
9
30
1
1
1
1
12
5
20
2
1
2
17
2
3
1
1
1
1
1
1
1
1
1
1
2
10
1
3
1
1
1
1
1
1
6
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
5
8
2
1
7
1
1
1
43
1
1
4
1
1
1
3
2
1
11
46
2
1
1
14
5
2
2
5
2
4
3
1
1
1
1
1
2
2
14
4
1
1
1
1
1
1
1
1
4
3
2
1
2
1
15
1
1
1
3
1
1
1
1
1
1
5
1
7
4
1
8
101
1
1
1
2
2
4
7
2
1
2
2
1
2
1
2
10
1
2
13
1
2
1
4
1
1
4
1
1
1
1
1
9
1
2
1
23
1
1
1
1
64
1
20
3
1
1
2
1
1
1
1
1
6
1
2
2
13
5
2
1
7
1
1
1
3
2
1
1
3
1
1
1
3
1
2
2
15
12
4
1
1
1
1
2
2
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
2
1
1
10
2
1
1
1
2
3
1
2
5
2
2
1
1
18
2
1
1
1
4
1
1
1
2
1
1
2
1
3
2
1
1
2
1
1
1
1
1
2
5
1
1
1
2
1
2
1
1
7
3
1
1
2
1
1
1
3
1
1
1
1
1
2
5
2
3
1
1
10
2
1
1
1
2
20
1
1
1
2
2
1
1
1
1
1
1
31
1
2
2
9
1
1
4
1
185
1055
2
5
1
1
1
11
1
2
9
2
1
2
1
1
1
1
8
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
2
1
1
2
1
2
1
1
4
2
2
1
1
1
2
1
1
1
28
8
1
54
1
2
1
4
1
1
9
1
1
1
1
3
1
1
4
3
1
1
2
1
1
1
3
5
1
1
1
2
1
1
4
1
12
1
1
3
2
1
1
6
2
2
5
2
4
1
3
2
1
7
1
1
17
1
1
1
2
1
1
1
2
4
1
1
7
1
2
1
1
1
3
1
1
1
1
2
7
1
1
4
151
388
1
1
1
3
1
1
10
2
2
5
4
2
1
2
3
2
1
15
1
2
1
8
1
1
2
1
1
1
1
35
9
1
1
1
2
3
11
1
1
4
1
2
1
2
1
3
1
1
7
1
1
1
1
1
2
1
13
1
1
2
1
1
1
2
69
1
4
1
3
2
1
3
1
1
4
61
1
4
2
1
2
41
3
1
1
1
8
2
1
14
2
1
3
14
3
2
1
1
2
1
1
1
1
2
1
1
4
1
1
15
1
59
2
1
4
1
1
2
1
1
1
1
1
1
1
17
1
1
1
1
4
1
30
65
1
1
1
1
1
13
1
1
1
2
1
1
29
1
3
1
2
1
4
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
3
1
1
12
8
4
1
2
1
1
26
1
1
1
1
1
1
1
1
4
52
2
1
1
1
385
3
1
5
1
1
2
3
3
3
3
2
5
1
4
9
1
2
1
10
2
1
1
7
1
1
1
1
1
1
1
1
7
2
1
1
2
4
1
5
2
1
1
1
1
1
1
2
1
2
1
1
1
17
2
1
1
1
1
6
3
1
1
2
1
8
1
1
3
1
3
2
1
1
1
1
4
1
1
1
1
2
1
8
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
4
2
1
1
2
4
2
1
1
4
3
1
3
1
32
5
1
1
2
1
3
1
1
1
1
1
2
2
2
6
7
1
1
2
1
2
1
17716
277
2
46
1
1
1
1
1
1
1
1
16
1
1
2
3
2
5
1
2
3
1
9
1
2
1
2
1
1
1
1
1
6
5
1
1
1
1
92
1
1
2
4
2
1
3
1
10
1
1
2
2
1
1
1
1
1
1
1
5
3
1
6
1
1
9
1
7
2
1
1
1
1
1
1
2
1
5
1
1
1
3
2
1
2
6
1
1
1
1
4
1
1
18
1
1
1
16
2
1
1
11
1
1
1
1
110
1
1
1
1
1
2
1
2
39
1
1
1
3
1
1
2
3
2
1
3
1
3
2
1
1
1
1
3
1
2
1
1
1
1
6
1
1
2
2
1
1
4
1
11
21
1
1
4
1
1
1
1
1
15
14
7
3
1
1
1
1
2
4
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
2
1
1
1
1
2
2
3
3
1
5
1
1
2
1
1
3
4
2
1
6
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
11
8
9
1
1
1
1
2
14
1
1
14
2
1
4
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
8
1
1
1
1
1
35
1
1
1
1
1
10
1
8
1
2
1
1
2
1
1
1
1
1
1
1
7
2
1
2
1
4
1
8
1
1
1
1
1
1
4
1
1
1
1
1
1
70
1
1
1
1
4
1
22
1
2
1
21
1
7
1
2
1
2
1
1
2
2
2
2
21
1
1
1
5
1
1
2
2
2
1
1
1
2
1
1
1
1
1
2
1
1
1
5
43
37
1
1
1
1
1
1
1
2
1
3
3
1
2
1
2
1
2
1
1
1
1
1
17
1
1
4
3
1
1
1
50
12
190
1
3
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
2
1
8
1
8
1
1
9
1
3
1
1
1
1
2
3
1
1
1
7
2
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
11
1
1
68
1
5
2
1
3
1
5
1
1
1
6
1
57
6
1
1
1
2
1
2
1
3
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
2
1
4
4
9
1
1
1
10
49
6
4
1
2
7
2
3
1
1
8
6
1
1
1
2
2
1
1
3
1
2
1
2
1
2
1
1
1
2
6
3
1
2
7
3
1
1
1
2
1
1
1
2
2
2
3
2
2
2
1
1
1
2
1
1
1
2
14
1
1
5
1
1
1
1
1
1
1
1
1
1
2
1
4
3
1
5
3
1
6
2
2
4
2
2
2
1
3
1
2
1
1
2
1
19
4
1
5
1
1
1
1
1
1
2
1
16
1
2
2
3
4
2
1
1
1
1
1
1
3
3
1
1
4
1
1
2
1
2
1
2
1
1
1
1
1
2
1
2
1
1
2
1
148
39
92
17
21
1
8
1
1
1
1
1
1
1
1
2
2
2
1
1
1
11
1
1
8
3
2
2
1
8
3
1
1
1
2
1
1
1
1
1
1
2
1
12
2
1
1
1
3
1
4
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
13
2
1
1
1
2
17
1
1
1
4
1
1
1
2
1
1
1
1
2
100
584
609
1
1
1
2
1
1
1
1
1
1
5
1
1
1
10
5
2
1
1
1
2
1
1
1
1
1
10
2
3
2
6
1220
363
653
2
1
9
3
1
5
7
1
1
30
1
1
1
1
1
1
7
1
1
3
2
1
1
1
1
4
3
5
1
2
3
1
11
2
1
1
1
1
1
1
1
1
10
5
1
1
7
2
1
1
1
1
1
1
2
1
1
2
3
1
7
8
2
2
2
2
4
1
1
1
5
1
1
1
1
1
2
1
2
1
1
1
2
3
2
1
2
2
6
2
1
5
1
1
2
2
1
2
1
1
1
1
2
2
25
2
2
2
1
1
3
3
1
1
2
1
1
3
1
2
1
1
5
2
1
2
1
8
3
4
37
2
1
1
9
1
1
1
72
31
17
3
7
5
2
6
5
1
1
1
1
1
9
1
3
1
1
1
1
1
26
1
1
1
11
3
1
2
1
2
1
13
3
1
1
1
3
1
1
2
3
1
1
2
2
1
1
1
3
1
1
3
4
1
1
37
1
1
2
5
22
1
3
1
1
1
1
1
1
1
5
1
1
1
2
2
2
12
1
5
1
1
1
1
1
1
1
1
1
1
1
11
1
38
1
1
2
1
1
2
1
1
1
4
1
3
1
1
1
9
2
1
1
2
2
1
1
1
1
1
26
1
1
1
1
5
3
7
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
2
1
1
3
1
1
2
1
2
2
3
1
4
3
6
1
2
2
1
1
1
1
1
2
2
1
1
8
1
10
3
1
1
1
2
1
2
3
1
5
2
6
2
1
1
1
2
14
2
6
5
1
3
1
2
63
1
2
1
2
3
1
1
1
2
5
4
2
3
2
10
2
3
2
2
5
3
1
9
1
2
1
2
1
1
1
2
1
1
1
22
9
1
1
1
1
34
1
1
1
3
4
1
1
2
1
1
6
3
3
1
1
2
1
2
10
1
1
3
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
2
2
1
4
1
1
1
3
3
1
1
8
6
16
2
1
2
1
1
1
2
1
24
1
6
1
2
1
2
57
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
13
3
1
2
10
2
1
2
1
1
1
1
1
1
2
1
3
1
6
33
1
2
1
1
4
1
7
1
2
2
4
4
4
13
6
1
1
1
1
1
2
1
13
3
26
1
3
1
1
1
1
1
2
1
1
1
2
1
19
1
4
1
1
1
1
2
2
4
2
1
1
1
1
1
1
1
1
2
1
1
2
2
2
3
1
1
1
1
1
1
2
1
1
2
1
2
4
1
13
1
1
1
5
2
1
1
1
2
1
4
2
1
1
1
4
1
1
1
1
1
2
5
1
1
1
1
2
1
2
1
1
2
1
2
1
1
4
2
1
2
1
1
1
2
1
1
1
2
4
1
24
1
1
1
2
4
2
6
4
1
1
1
1
1
2
2
1
49
6
3
2
1
1
1
1
3
1
1
22
1
1
12
3
1
2
1
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
1
2
3
1
2
51
1
8
7
2
17
4
1
1
1
1
3
1
1
1
4
1
1
1
1
1
2
1
1
3
1
1
1
3
1
1
1
76
5
1
1
1
1
2
4
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
2
2
1
2
2
5
2
1
1
3
1
1
2
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
3
1
1
4
1
1
1
3
2
9
2
2
1
1
5
2
2
2
1
2
1
1
1
26
1
1
1
1
1
1
1
2
17
2
2
1
2
327
390
599
1
1
9
1
1
5
1
1
5
1
1
1
1
44
2
2
1
1
1
2
1
2
36
96
22
1
3
1
1
1
38
7
5
4
3
2
4
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
5
186
5
1
2
1
2
3
1
1
1
2
1
1
1
2
1
1
1
2
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
17
4
1
1
2
1
1
2
2
7
2
1
1
7
3
313
943
320
1
1
2
19
7
1
1
2
3
2
2
2
4
1
8
1
2
2
8
1
1
2
10
1
1
1
5
90
1
1
1
2
3
1
3
1
4
1
1
1
1
1
1
2
3
5
1
2
1
1
1
2
166
76
1
1
1
10
1
6
3
1
60
1
1
1
1
1
8
1
3
2
1
7
2
3
1
1
8
2
1
1
2
2
3
1
42
327
62
4
1
12
1
2
3
1
1
1
34
5
1
48
1
1
1
1
2
1
2
1
1
1
4
1
1
3
7
5
2
2
2
1
2
4
1
1
1
1
1
3
1
1
1
1
2
5
5
1
1
1
3
1
1
1
13
1
2
1
10
1
1
1
1
1
3
73
101
1
1155
1
1
1
1
4
1
18
189
66
2
23
1
26
1
1
2
1
1
4
1
1
1
1
1
1
1
1
2
2
2
1
3
1
1
1
1
1
1
9
1
2
5
2
1
1
2
22
1
3
1
133
54
195
1
2
5
2
1
1
1
1
1
1
1
1
1
1
1
10
1
1
5
1
1
1
2
1
1
1
1
3
6
4
1
1
1
1
2
3
2
1
1
2
1
1
1
1
4
1
2
1
3
1
1
1
1
1
3
4
1
2
3
1
15
6
10
15
1
1
16
2
1
2
1
1
1
12
2
2
1
4
1
6
1
1
2
1
1
1
34
1206
857
692
8
1
3
1
1
3
1
2
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
2
2
1
1
1
1
1
270
1
1
1
1
1
1
1
1
2
5
1
8
1
16
1
7
1
2
24
1
7
1
2
1
1
1
3
1
1
1
1
1
9
1
1
1
1
1
2
1
2
487
90
68
2
1
1
1
3
1
1
1
3
6
2
6
1
1
1
1
1
1
1
1
1
2
1
2
1
2
2
1
1
8
1
1
1
1
2
1
1
1
10
176
16
1
1
1
1
1
1
1
1
2
1
1
1
6
2
1
1
6
1
1
1
1
1
1
1
1
2
4
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
2
2
1
1
2
1
1
1
3
1
3
2
1
1
1
1
1
1
19
1
1
1
1
6
1
1
3
1
1
1
1
7
1
1
4
1
1
1
1
1
1
1
1
1
1
5
2
1
1
4
1
1
1
1
1
2
1
2
2
1
1
1
2
5
1
1
1
1
8
1
1
1
2
1
2
1
2
1
3
135
2
2
2
1
17
1
1
4
15
1
4
1
1
1
2
5
5
1
30
4
1
1
3
1
1
2
3
1
1
1
1
3
2
2
2
1
3
2
1
8
1
2
1
3
1
1
1
1
5
2
5
2
1
1
1
1
2
1
2
1
2
2
1
1
1
1
1
1
1
1
2
1
1
2
10
1
10
1
2
1
1
4
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
1
2
1
1
2
1
6
226
266
261
1
3
1
3
1
1
1
1
1
1
5
3
2
1
1
1
1
24
1
1
1
4
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
3
1
1
1
2
13
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
2
1
2
1
1
1
6
14
4
1
2
3
25
1
1
1
1
8
1
1
1
1
1
1
1
4
1
1
1
10
1
2
1
3
1
3
43
1
3
2
1
1
4
1
2
1
1
1
1
1
1
1
3
1
2
3
1
15
1
2
1
2
1
1
3
3
1
11
1
10
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
7
1
2
1
2
1
1
1
1
1
1
1
1
2
3
1
3
21
1
1
10
1
1
1
1
2
17
1
1
1
3
1
40
1
3
2
1
1
1
1
1
2
2
1
1
3
1
1
2
2
3
2
1
5
1
1
1
1
1
1
2
2
1
1
14
1
2
1
32
2
2
3
1
1
1
7
14
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
2
1
2
7
48
1
1
2
1
1
1
1
1
1
1
1
1
2
32
28
3
1
1
1
1
1
1
23
1
2
1
7
2
2
5
2
3
1
1
1
1
59
7
3
3
1
4
2
220
596
4
7
1
4
4
21
3
1
1
18
2
5
2
9
1
2
7
2
1
1
2
1
5
1
4
1
2
3
2
1
1
1
1
1
2
1
1
1
1
1
18
6
2
6
1
4
2
2
20
228
565
1
4
1
1
1
1
1
1
208
1
1
2
4
2
5
1
1
1
1
1
2
1
1
5
5
2
6
1
2
2
2
3
4
12
1
13
2
3
1
1
2
1
7
2
1
1
2
2
3
1
13
22
1
2
3
1
1
9
1
2
4
2
2
3
3
1
2
11
1
200
124
904
1
1
2
1
10
1
1
1
1
1
1
5
1
1
35
132
14
14
73
2
1
4
1
2
2
1
2
1
3
1
4
2
8
1
1
1
4
11
2
21
414
1
2
1
4
1
1
1
1
1
1
1
1
18
2
1
1
2
1
1
1
1
6
1
1
2
1
1023
147
61
1
8
6
11
1
267
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
1
8
1
1
1
3
1
1
1
4
1
6
1
1
1
1
56
132
81
7
1
1
5
2
1
1
1
1
1
1
35
86
3
1
1
6
1
1
2
231
66
84
28
3
9
4
3
1
1
1
11
1
3
1
315
1
3
4
1
1
1
1
1
2
2
9
21
1
1
1
7
1
1
6
1
2
1
7
2
1
3
1
1
1
22
1
3
1
1
2
1
1
337
948
241
4
2
1
1
2
20
1
2
1
1
1
1
4
2
1
1
6
1
1
1
1
1
1
1
2
2
30
4
1
1
1
1
3
1
4
1
1
1
1
3
5
1
2
1
1
1
1
4
1
1
4
1
1
1
59
1
1
2
1
2
2
2
1
1
3
1
1
4
1
1
1
1
7
1
4
1
3
1
1
1
2
2
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
3
9
7
1
1
1
1
2
1
2
1
2
2
7
3
1
1
2
1
2
1
3
1
1
4
1
8
1
1
1
1
1
1
1
2
1
27
2
2
1
1
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
12
1
3
1
2
1
7
1
1
1
4
1
1
1
1
1
4
1
14
2
3
1
3
1
1
4
1
3
1
3
2
1
1
1
2
1
1
1
19
1
4
4
2
1
2
1
6
1
1
3
2
1
2
3
1
2
2
1
1
1
1
1
1
1
4
7
1
1
1
1
1
1
11
3
39
1
1
1
2
1
3
1
11
192
1
2
1
2
1
2
1
1
1
9
2
5
1
1
11117
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
4
4
1
3
2
1
1
1
4
1
1
1
1
2
3
1
3
2
5
1
1
1
1
1
1
2
1
4
10
1
2
2
4
2
4
3
3
1
2
2
1
1
1
1
3
2
1
1
1
1
3
1
2
5
1
2
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
1
11
25
1
1
6
8
1
5
1
1
1
1
3
2
1
1
1
1
1
3
6
3
1
8
2
1
9
44
1
4
3
3
3
2
1
1
1
13
2
1
1
17
3
1
1
15
52
7
2
3
1
6
1
7
14
1
1
2
1
25
1
1
4
1
2
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
28
12
1
2
1
1
4
2
1
2
1
4
1
1
1
2
6
1
28
1
1
1
5
1
16
36
2
3
1
1
3
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
2
2
1
1
12
1
2
10
1
1
1
1
1
1
3
1
1
2
1
1
1
2
1
9
1
3
1
2
8
2
1
1
1
1
1
1
5
5
3
1
13
2
1
18
10
1
5
3
2
2
1
1
4
2
2
2
1
1
5
4
5
1
1
2
1
2
1
1
1
1
1
3
1
1
2
64
1
1
1
1
1
1
1
3
3
2
1
1
2
1
1
1
2
10
1
1
1
2
1
1
1
1
2
1
1
1
4
1
7
7
4
1
5
1
1
2
6
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
5
1
2
1
2
1
1
2
1
1
1
42
9
1
2
2
1
3
2
2
1
1
1
1
1
1
1
1
1
1
15
2
3
1
1
1
2
1
1
2
1
14
1
6
1
1
1
1
3
2
1
1
1
2
5
1
5
1
1
3
222
1
1
1
1
1
1
25
1
2
1
1
1
3
3
1
145
1
2
1
3
87
16
11
1
1
23
13
3
4
1
1
1
1
2
3
2
4
1
1
1
3
1
1
1
3
1
1
3
1
1
2
4
1
2
1
4
1
1
1
1
3
2
6
1
4
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
4
1
1
7
1
1
1
1
1
1
1
1
1
1
2
26
1
1
1
1
1
2
1
1
5
1
1
1
33
3
1
2
7
1
1
3
1
6
1
10
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
4
1
4
2
29
1
3
1
1
1
4
1
1
1
1
1
1
2
1
1
3
6
1
1
1
1
1
1
1
2
3
2
2
1
1
1
6
6
1
1
2
1
159
1
1
4
4
1
4
3
6
1
1
1
8
6
1
1
1
1
3
1
3
5
1
1
1
2
1
1
1
1
1
1
2
2
1
5
1
1
2
1
2
3
1
2
2
5
7
3
1
1
1
2
1
1
1
1
1
77
1
3
1
1
1
3
1
1
5
1
2
9
7
1
9
1
1
1
19
1
2
15
1
1
4
2
1
1
3
1
1
24
4
2
4
1
5
3
2
1
1
1
2
13460
1
1
4
1
1
1
1
1
1
1
1
1
1
35
1
1
29
2
1
4
1
4
1
2
3
1
1
2
19
1
1
2
1
1
1
2
1
2
1
1
2
1
2
6
1
19
2
1
1
3
2
1
1
1
1
397
194
7
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
7
10
2
1
1
4
2
3
1
1
2
1
2
1
1
1
2
11
1
1
1
1
1
1
1
2
1
1
11
1
2
1
1
1
1
8
1
1
4
1
1
1
4
2
1
1
1
1
1
17
1
1
1
1
1
1
1
3
3
1
1
3
9
1
1
1
3
2
1
2
2
1
1
7
9
1
1
1
48
1
1
1
1
38
1
3
1
1
1
1
2
1
2
4
1
1
3
14
1
2
2
21
14
1
2
1
1
4
1
1
1
104
3
1
1
1
11
7
14
1
2
2
4
3
1
2
4
1
1
1
2
1
7
1
2
1
1
1
1
1
6
2
6
1
1
1
4
1
8
1
1
1
2
6
2
1
1
1
1
9
1
1
1
1
2
2
1
1
1
3
1
1
1
2
2
1
1
1
24
1
1
1
1
2
4
1
1
1
1
1
2
1
1
1
1
1
1
3
1
3
1
4
1
2
2
3
1
1
1
7
1
1
1
1
1
1
1
2
3
1
3
1
1
1
1
2
1
1
1
1
1
1
2
1
1
6
1
1
2
1
1
6
2
2
12
1
96
1
1
1
1
3
1
3
1
1
1
5
2
1
1
1
2
1
2
2
1
2
1
1
4
1
2
14
1
1
1
1
1
1
1
1
146
3
1
7
1
1
2
1
3
1
1
1
3
1
4
1
1
2
1
1
1
5
1
1
1
3
2
1
2
1
1
4
1
1
1
2
2
1
2
1
2
1
2
1
1
1
3
1
6
2
25
1
1
1
1
1
1
1
1
1
53
3
2
1
1
1
1
1
7
1
1
2
4
2
4
3
2
22
1
1
1
1
3
3
4
2
2
1
1
1
2
1
1
1
1
1
3
1
6
7
1
1
7
1
18
1
1
1
6
1
1
1
1
1
1
1
13
1
2
2
3
1
1
77
1
96
2
1
1
8
1
1
7
1
185
127
44
3
2
1
1
1
5
12
2
1
1
2
1
1
2
2
1
4
1
1
4
34
6
1
1
1
6
2
7
1
1
2
2
1
1
1
1
1
1
1
1
1
8
1
4
1
1
1
1
1
1
2
1
1
1
201
1
3
1
10
1
2
1
1
1
1
2
10
2
1
2
1
1
2
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
9
787
19
1
1
3
25
1
1
1
1
1
1
2
1
48
1
3
9
2
1
3
1
3
4
1
1
1
1
1
25
2
1
4
1
1
1
4
1
1
2
1
1
3
3
3
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
6
1
1
1
1
2
1
1
1
7
3
27
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
29
2
1
1
1
3
1
2
2
1
2
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
21
4
1
1
2
1
2
1
1
1
1
1
3
3
4
1
2
1
1
4
1
1
1
1
1
1
2
1
1
2
6
1
5
6
1
1
9
1
2
2
2
1
2
2
2
6
18
2
67
6
4
3
1
1
1
1
1
1
7
2
1
1
1
1
11
1
3
1
2
3
1
1
2
2
2
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
11
1
3
1
1
5
1
3
2
5
1
1
1
2
1
1
1
1
1
8
1
3
6
2
3
8
1
2
9
1
1
2
4
1
2
2
1
1
2
1
2
1
1
1
1
1
3
1
2
3
1
179
7
1
2
2
3
1
2
3
1
18
2
1
4
1
4
1
21
63
1
2
1
1
1
1
2
1
1
2
3
8
1
1
6
1
1
4
1
2
30
3
6
1
1
1
1
2
1
1
1
1
1
1
6
1
3
3
1
1
1
2
7
3
1
1
2
1
1
1
2
9
6
1
2
22
6
3
1
1
1
2
2
1
3
1
1
1
3
1
1
9
1
2
1
1
1
1
1
1
1
2
10
3
1
1
1
4
1
5
1
2
1
2
1
5
1
1
1
1
1
3
1
2
2
1
1
1
1
13
1
2
1
1
1
2
2
5
3
3
1
1
1
1
1
1
1
2
1
13
1
1
1
2
1
1
6
16
1
5
3
1
36
6
1
1
3
1
1
1
1
1
5
6
1
1
2
1
3
1
4
3
2
1
1
1
1
1
1
1
1
1
2
1
1
6
1
1
2
1
1
1
1
1
2
1
1
1
1
7
1
5
6
3
4
1
1
1
3
1
1
5
1
1
3
6
1
1
1
2
1
3
1
1
15
2
5
1
4
1
1
2
2
1
1
1
1
1
2
2
2
1
1
1
1
1
11
3
2
1
7
1
1
1
1
4
1
1
1
3
1
1
1
6
2
1
3
33
2
1
2
1
4
2
1
12
1
8
1
1
1
1
1
2
2
2
12
6
1
2
9
18
1
4
2
4
1
3
1
1
1
2
13
1
1
1
2
1
2
1
2
1
1
1
1
2
1
2
1
1
1
1
2
1
1
3
1
2
1
2
1
1
1
16
1
8
1
1
1
1
2
1
1
1
1
1
1
3
1
3
2
1
3
2
4
1
1
1
2
1
2
3
1
1
8
1
26
6
2
1
2
2
1
4
207
2
1
1
1
3
1
1
6
1
1
5
1
1
1
2
3
2
8
2
1
1
2
1
1
1
2
1
1
3
1
4
1
2
1
1
10
1
3
3
1
3
1
4
1
2
16
4
1
180
625
745
3
3
1
1
1
1
6
6
11
1
2
1
2
1
2
1
1
1
1
1
2
1
1
1
4
57
39
10
2
1
4
78
44
27
17
9
2
1
61
1
15
4
2
39
6
2
5
1
4
1
2
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
2
4
1
10
3
4
2
1
4
2
1
1
1
4
1
1
3
1
1
5
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
4
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
2
1
3
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
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
1
2
1
4
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
6
1
1
1
1
1
1
2
2
1
2
1
2
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
2
2
1
4
1
3
7
2
1
1
1
1
2
1
2
1
1
4
1
1
1
1
1
2
1
1
1
2
1
2
3
1
2
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
6
3
1
1
3
8
6
1
2
2
3
2
1
1
2
1
1
1
1
1
1
4
1
2
4
1
1
4
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
2
1
1
1
4
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
2
3
1
2
1
1
5
1
1
4
2
1
1
1
1
1
1
1
1
1
8
1
2
2
3
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
1
1
6
1
1
1
1
3
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
2
1
4
2
1
4
1
2
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
1
1
2
1
2
4
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
2
3
2
6
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
4
4
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
2
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
2
1
1
2
1
1
1
7
1
1
1
1
1
2
2
1
2
2
1
1
2
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
2
4
4
2
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
2
1
3
1
1
1
1
2
2
1
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
208
2
1
1
1
2
1
1
1
1
1
1
2
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
2
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
3
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
1
1
3
1
1
1
1
6
1
9
1
1
1
1
2
2
1
2
1
1
1
4
1
1
3
3
1
2
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
2
1
1
15
1
7
1
3
60
2
17
63
150
1
1
1
1
1
2
1
1
1
1
2
2
2
5
1
1
1
171
1
1
1
1
1
2
2
1
1
2
4
2
8
1
6
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
3
5
3
2
1
1
1
1
1
7
5
1
14
1
1
1
1
1
1
1
1
1
1
1
1
2
1
14
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
9
1
1
2
3
1
4
1
9
3
1
6
1
1
3
1
1
1
1
2
3
8
1
1
1
10
1
1
1
1
2
2
150
347
42
6
27
11
188
1
1
1
1
2
5
7
9
1
1
1233
1
1
1
1
1
1
2
2
1
1
1
122
1
2
1
1
1
2
3
4
2
8
1
1
1
8
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
4
1
1
2
2
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
14
15
11
1
3
2
1
1
1
2
7
2
1
4
1
1
1
2
1
4
1
1
2
8
1
1
1
1
1
1
3
1
1
4
4
1
1
1
3
2
170
28
1
32
5
1
1
1
1
2
1
2
1
12
1
1
2
2
1
1
1
2
1
2
1
1
2
1
1
8
1
5
2
1
1
2
2
1
2
1
1
8
1
1
1
1
2
1
2
1
1
2
1
7
2
2
3
22
1
1
1
4
1
1
11
2
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
4
2
1
1
5
1
6
1
2
2
28
1
1
3
1
2
1
3
1
1
1
1
1
2
1
1
1
1
19
5
3
2
7
1
1
21
1
1
1
1
1
1
3
2
5
1
1
2
1
1
2
2
1
11
3
3
1
1
2
1
3
5
1
37
12
43
3
17
3
6
3
1
2
6
15
1
1
2
1
1
1
1
1
1
2
5
1
1
4
1
1
1
3
2
1
4
2
1
2
1
2
1
6
1
1
3
1
1
1
1
1
1
1
2
2
3
1
1
6
83
2
2
1
1
2
1
2
2
1
1
1
1
4
7
1
1
2
1
1
1
1
1
2
1
2
3
1
11
5
19
14
8
1
1
3
1
3
1
3
2
2
1
1
1
1
2
1
3
1
1
1
3
1
1
6
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
28
3
2
2
1
2
1
1
2
2
4
10
2
1
2
1
2
2
1
1
1
2
2
2
1
1
4
1
1
1
2
33
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
8
1
2
2
1
1
6
1
1
2
1
1
33
1
3
9
1
1
1
1
1
1
1
1
3
2
1
2
9
9
113
1
3
1
1
1
1
1
3
1
1
13
1
1
1
1
1
1
1
1
1
1
1
3
1
4
2
2
7
1
1
1
1
1
25
2
11
3
2
1
4
1
2
2
6
1
1
5
2
2
2
1
2
2
1
1
1
2
1
1
1
1
81
1
3
1
2
2
1
1
1
2
1
1
3
4
3
1
1
1
2
16
4
3
10
1
1
1
1
3
1
1
7
2
1
1
1
1
1
4
1
4
1
1
1
1
6
1
2
1
4
1
24
1
2
1
7
2
1
1
1
1
1
2
2
1
4
2
3
2
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
2
1
14
3
12
1
13
3
3
2
1
4
1
1
5
4
1
4
9
2
1
3
3
14
35
1
17
1
3
3
39
2
1
1
4
1
1
1
1
1
3
1
111
2
29
1
2
5
13
1
3
36
36
1
2
2
2
3
1
2
1
1
1
4
24
1
2
3
3
1
1
8
1
1
31
1
1
1
1
5
1
1
2
1
1
1
2
1
4
1
1
1
1
1
41
1
3
1
1
1
1
2
1
1
1
2
1
4
1
5
1
4
1
1
1
1
19
5
1
2
2
1
11
15
2
1
2
2
1
2
1
2
1
1
5
1
2
91
32
50
1
5
1
2
4
1
1
2
2
1
1
1970
862
925
5
1
1
1
1
1
1
20
33
43
1
1
1
4
8
12
1
1
1
1
4
2
1
136
2
2
1
7
3
1
1
1
1
1
1
2
2
3
1
1
1
10
10
1
1
1
1
2
1
1
1
14
2
1
1
1
1
1
2
1
6
3
2
1
1
1
2
1
1
5
1
1
7
1
1
2
1
3
4
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
4
1
2
1
1
4
2
2
2
5
4
2
5
1
5
3
1
1
1
1
2
1
1
1
13
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
12
2
1
1
1
2
48
2
2
1
2
4
4
1
3
3
1
1
3
1
2
1
12
9
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
2
4
1
2
1
3
1
1
1
2
3
5
92
1
1
1
1
1
2
2
5
1
1
1
1
2
1
2
63
3
1
1
3
1
62
1
1
1
1
2
3
10
3
8
4
1
1
1
2
1
1
1
1
1
2
127
11
1
1
3
1
2
1
3
2
12
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
7
8
43
1
55
13
1
2
1
1
2
2
24
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
3
1
1
3
1
6
1
2
7
2
14
4
1
3
1
6
1
1
1
1
1
1
1
1
1
2
1
1
11
5
2
1
2
1
1
43
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
11
1
1
2
2
2
1
4
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
10
1
1
1
15
1
3
3
1
1
1
16
1
2
1
1
1
7
1
1
2
1
1
1
2
2
3
1
1
1
1
1
1
4
3
9
1
1
1
1
8
1
3
4
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
4
2
5
1
1
3
4
1
2
2
3
1
4
5
1
1
1
1
1
2
5
1
3
2
1
2
1
2
2
2
1
2
1
3
1
1
1
1
6
3
1
1
7
1
1
1
1
2
2
2
1
4
1
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
3
5
3
4
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
4
1
1
2
1
4
1
1
5
1
1
3
1
2
2
1
1
1
2
2
1
1
2
1
1
3
1
1
1
1
1
2
2
3
1
7
1
2
1
1
1
1
1
1
1
2
1
2
1
4
1
1
1
2
1
2
5
1
1
3
14
1
1
1
1
1
1
2
2
1
23
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
2
3
14
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
1
1
4
1
1
1
2
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
3
2
1
1
1
1
2
2
1
1
1
1
1
1
1
24
1
1
1
1
3
2
1
1
2
1
1
1
2
1
2
2
2
3
1
1
2
1
1
3
17
1
4
2
3
1
2
1
1
2
1
4
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
2
10
32
2
1
3
1
3
13
7
6
9
1
1
3
1
1
2
2
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
4
8
3
1
2
2
1
2
1
1
1
1
2
1
1
3
5
1
1
78
3
3
1
6
7
1
5
5
6
3
6
1
2
1
2
2
1
1
1
1
1
1
33
3
1
1
5
3
1
2
5
2
14
2
2
1
1
1
1
1
1
2
7
1
1
1
2
46
2
1
14
1
1
2
1
59
1
1
1
1
587
2
480
1
2
17
1
3
2
1
1
8
42
23
1
1
1
1
8
2
3
2
1
1
1
1
1
1
2
1
4
1
2
1
1
1
1
1
155
1
2
4
2
1
1
20
15
2
1
1
12
1
1
2
1
19
12
3
2
2
1
3
2
1
1
2
7
1
1
1
2
6
33
1
1
11
1
1
2
1
19
1
2
1
2
3
1
1
3
3
4
1
1
1
1
2
2
6
1
5
1
2
1
2
3
1
94
177
1
1
1
2
2
19
1
7
3
2
1
17
2
7
1
1
1
3
3
1
5
1
1
6
1
5
6
3
1
1
1
1
1
2
1
2
1
1
5
1
1
2
6
1
2
1
1
2
1
1
1
1
1
2
2
1
4
2
2
3
1
1
1
2
3
1
2
2
1
1
1
1
10
1
5
4
1
16
1
13
2
1
3
1
1
1
10
1
1
1
1
1
1
19
22
1
1
1
1
1
13
1
1
1
1
1
21
1
1
4
2
2
3
1
1
1
1
1
1
1
2
3
1
1
1
18
1
2
1
8
39
1
7
3
1
4
1
3
5
1
6
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
5
1
20
2
1
2
2
1
1
5
2
6
2
1
1
1
1
2
6
2
1
4
1
3
1
1
2
4
1
1
2
12
1
1
11
13
1
2
6
4
3
1
1
2
1
1
3
1
3
1
1
5
8
1
1
1
1
10
2
1
2
1
1
1
1
1
1
1
9
3
1
6
3
1
1
1
1
1
2
2
3
1
6
8
2
1
5
1
1
1
4
1
1
5
2
1
1
3
7
2
1
148
1
1
2
1
7
1
1
1
1
2
1
2
5
3
1
1
51
1
3
1
1
2
9
1
3
1
1
1
2
2
50
2
1
1
1
1
4
1
1
1
2
1
2
4
1
1
1
1
1
1
10
7
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
6
10
6
1
4
1
1
1
1
1
1
1
2
1
5
92
1
1
4
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
2
3
1
28
1
1
1
1
1
3
1
1
2
2
2
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
3
1
1
2
1
1
1
1
16
5
4
1
1
8
4
1
1
1
2
1
6
1
1
1
1
3
1
478
3
2
1
1
1
1
2
4
1
1
2120
6
1
3
1
1
1
1
3
1
1
56
1
5
2
2
1
2
1
7
2
1
1
1
2
1
1
3
1
1
4
1
1
5
15
1
1
1
1
1
2
2
3
29
2
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
4
1
2
1
2
1
3
6
1
1
5
39
6
1
1
1
1
2
1
1
1
5
1
1
1
3
4
1
8
1
1
2
6
1
3
