1
1
1
1
1
1
4
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
3
2
2
2
2
1
2
1
3
1
2
1
3
6
1
1
1
4
1
2
3
1
2
2
4
3
4
1
1
2
1
2
5
1
1
1
2
2
1
2
1
270
3
1
2
1
2
1
1
1
3
1
2
1
1
1
7
2
68
2
4
1
1
4
25
1
1
1
1
1
6
1
9
1
1
1
1
1
1
2
3
1
1
8
1
1
2
1
1
1
6
4
45
1
1
1
8
1
2
3
12
1
11
5
1
1
2
3
8
17
2
4
2
1
7
1
1
3
4
1
4
1
1
4
1
7
2
25
47
1
1
1
1
1
10
3
1
1
1
4
2
16
6
1
1
1
1
3
2
2
2
1
6
1
1
2
1
5
1
3
1
1
1
1
1
2
2
1
2
1
8
1
1
6
1
1
1
1
12
4
1
1
1
1
1041
2
2
2
1
2
1
1
1
1
1
1
1
1
1
19
1
93
3
1
1
1
94
1
1
1
3
1
2
10
9
8
1
3
1
1
1
1
1
1
2
1
174
1
7
4
2
1
4
2
8
1
1
1
1
38
15
5
1
1
4
1
6
1
1
1
2
1
3
99
1
2
5
1
1
4
1
7
1
5
1
1
4
1
1
16
4
1
1
1
1
1
1
11
1
2
1
1
2
1
1
1
1
7
1
2
1
1
9
1
1
1
1
1
1
8
2
1
3
1
1
1
1
1
1
3
1
345
1
1
4
4
3
4
1
2
1
1
1
1
11
2
1
1
2
1
2
1
5
1
1
1
1
1
1
3
2
1
1
1
1
1
1
41
1
4
1
1
1
1
2
1
1
1
1
1
17719
5
1
1
11
1
1
1
4
14
1
1
1
1
97
3
1
1
2
1
7
1
2
1
1
1
2
4
1
1
1
1
23
1
1
1
3
2
3
1
1
1
8
1
1
1
3
1
1
1
1
1
4
1
1
2
1
1
1
1
1
1
3
6
22
2
1
32
2
2
1
1
1
1
3
1
1
1
2
1
1
2
1
1
1
1
1
1
1
15
3
2
1
2
1
1
1
1
8
1
1
6
1
11
2
1
1
2
1
1
1
1
4
1
2
1
1
32
2
1
7
1
9
6
1
1
1
1
1
1
1
1
7
1
2
1
1
17
44
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
4
1
1
1
1
6
1
1
1
1
8
26
1
1
2
3
1
2
5
1
7
5
5
8
1
3
1
8
3
1
1
1
3
1
1
2
3
1
1
1
1
3
1
1
2
1
1
1
1
2
1
3
4
3
1
3
1
1
2
2
2
1
7
1
1
3
3
1
1
2
1
1
1
1
1
1
22
1
1
1
1
1
6
1
1
2
1
1
3
3
1
1
1
45
56
1
18
17
1
1
7
1
3
4
5
1
2
2
1
1
5
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
133
592
1
1
1
11
2
1
1
2
1
3
2
1
1
492
1141
1
2
11
1
1
2
2
2
1
1
2
2
1
1
1
1
4
2
1
1
2
1
2
2
1
28
3
1
1
1
1
1
1
1
11
1
1
3
1
5
1
1
1
3
2
4
3
43
1
21
7
10
8
2
5
1
1
2
1
1
5
1
1
13
2
1
3
1
1
1
3
5
9
7
1
1
1
8
1
1
1
1
5
5
1
2
1
1
3
1
1
4
33
1
1
1
3
1
1
2
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
29
1
10
1
1
2
1
1
5
1
1
1
1
13
1
1
1
85
1
1
1
1
1
2
1
3
1
1
2
2
1
1
1
1
1
1
23
8
1
1
4
1
2
1
31
7
1
1
5
1
4
1
1
1
1
1
13
12
1
1
3
1
1
58
1
1
1
2
1
1
1
1
1
5
1
1
2
8
1
1
1
8
1
3
1
3
1
1
2
3
1
1
1
3
6
1
1
1
1
2
3
1
3
1
1
1
4
27
1
11
1
1
3
4
2
2
1
1
1
1
2
1
2
1
2
1
1
1
2
1
1
3
1
1
1
1
1
3
1
1
7
3
1
1
7
1
2
1
1
18
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
485
310
1
1
7
1
1
1
42
4
2
2
46
18
2
7
1
2
6
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
1
457
337
1
1
2
2
1
1
2
1
1
2
1
1
2
142
1
2
1
1
1
1
5
1
1
129
1
1
6
2
2
1
1
4
1
2
27
23
1
1
2
1
1
1
22
13
77
1
1
1
3
4
1
6
3
1
1
1
2
1
1
1
1
87
1
1
1
1
1
1
1
2
1
2
1
19
3
1
1
1
21
1
1
165
64
1
1
1
1
1
1
2
11
4
1
1
1
3
2
1
1
1
2
1
3
1
5
4
1
3
2
4
8
4
1
1
1
1
1
8
2
2
1
1
3
3
1
5
28
1073
625
4
1
5
1
1
1
2
1
1
1
1
17
1
2
3
2
1
2
2
2
1
1
1
1
1
1
2
2
127
60
2
1
1
1
1
1
12
3
146
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
3
1
3
1
3
1
1
128
1
20
3
6
1
1
1
24
1
1
4
1
1
1
8
1
1
1
2
3
1
5
1
1
1
1
1
1
1
1
2
1
1
325
311
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
3
1
2
1
2
3
15
2
1
1
27
9
1
1
1
1
1
1
1
12
2
3
8
2
2
1
1
2
1
1
2
1
1
1
2
2
1
3
9
1
5
1
1
2
3
1
1
2
1
3
2
3
8
2
1
1
1
2
1
1
1
18
1
3
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
3
1
1
29
1
1
3
2
1
4
1
2
1
1
764
1
8
14
1
1
1
1
1
1
6
1
2
2
1
1
1
1
2
2
1
2
293
2
1
2
1
3
1
1
2
1
2
3
1
1
3
1
7
1
1
1
4
1
3
1
14
4
1
1
1
1
5
3
2
2
2
41
25
125
1
1
2
2
1
18
40
72
2
1
1
4
1
1
2
14
372
3
2
6
1
1
1
1
1
1
1
1
2
1
80
1020
1
256
1
1
1
1
1
2
98
72
1
1
2
18
1
92
69
1
2
1
1
377
1
1
2
1
1
1
12
1
1
1
10
2
1
4
1
1
1
1
1
1
325
305
1
2
3
3
1
13
2
2
1
2
5
1
11
1
1
1
1
3
1
1
5
1
1
2
1
1
24
2
7
5
3
1
10
9
4
1
1
1
1
1
1
1
1
1
4
1
1
5
1
2
1
2
1
1
1
2
5
1
3
1
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
3
5
1
2
3
1
2
2
1
1
3
1
1
689
1
2
1
1
1
2
1
1
2
2
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
3
7
2
28
3
1
1
1
1
1
13
2
1
1
11
2
2
3
1
3
2
32
6
2
1
1
1
1
1
2
25
6
2
45
3
1
3
1
3
2
1
1
3
2
1
1
1
1
1
1
2
2
1
1
1
1
4
1
1
1
1
1
2
1
3
6
1
2
2
2
2
1
1
1
5
2
41
1
1
2
1
1
1
1
1
2
1
2
1
1
6
1
1
1
1
55
1
1
1
1
1
3
1
1
2
1
37
1
2
2
259
7
1
20
8
1
1
5
4
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
2
1
1
4
2
2
5
1
1
1
1
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
7
2
1
1
1
1
1
1
2
1
1
1
1
1
2
3
2
1
83
1
1
1
1
1
1
1
4
4
20
12
1
5
2
22
2
4
2
3
1
1
3836
1
2
38
1
19
2
1
1
1
2
7
1
1
1
15
3
1
2
1
1
194
2
1
1
1
1
1
3
1
2
5
1
1
1
1
1
7
1
1
4
2
1
1
1
1
4
2
1
1
1
1
7
1
1
1
40
13
1
2
1
2
1
2
137
1
1
8
1
3
1
5
1
1
1
2
1
1
1
1
1
2
1
7
1
1
2
9
1
1
3
2
1
17
1
2
1
1
1
1
1
2
1
1
1
1
3
1
1
2
2
1
3
2
1
1
1
1
1
1
1
2
3
2
5
1
128
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
6
1
1
1
1
1
1
1
3
1
3
1
1
1
5
1
3
1
180
26
1
1
5
1
1
1
1
1
1
1
5
1
1
1
9
1
1
1
3
2
18
1
2
1
1
1
1
6
3
1
1
1
1
1
1
6
2
1
1
1
1
59
5
23
1
2
1
1
1
1
1
6
1
1
1
1
1
3
1
38
17
2
1
2
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
4
1
2
1
12
3
1
1
1
3
1
27
2
95
1
1
9
11
1
2
1
10
1
3
1
1
5
1
1
1
21
1
2
1
1
1
1
1
1
6
1
1
1
1
7
1
1
1
2
1
1
1
19
3
1
1
1
1
1
8
2
13
2
1
1
3
2
2
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
15
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
4
2
4
6
2
1
1
1
1
1
1
1
1
3
1
2
1
5
1
1
1
1
3
1
3
2
3
2
1
1
16
4
1
1
1
3
2
1
1
4
1
5
1
2
9
7
1
1
21
2
1
1
8
2
1
2
1
1
1
1
2
1
1
1
2
1
1
6
5
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
56
2
1
1
3
1
1
2
3
1
4
1
1
2
1
1
1
1
2
9
1
1
228
752
1
1
1
4
1
1
1
2
1
2
1
1
5
22
35
6
1
38
70
19
5
2
2
1
1
1
1
4
3
1
2
2
1
1
3
1
1
1
2
1
1
4
1
1
1
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
2
4
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
3
1
1
1
2
1
3
1
1
2
1
2
2
2
2
2
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
2
2
3
1
2
1
1
1
2
2
2
1
1
1
4
1
2
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
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
1
1
1
3
1
2
77
1
1
1
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
2
1
1
1
1
1
7
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
5
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
6
2
1
1
2
1
1
1
2
1
1
1
1
6
1
1
2
3
1
1
1
4
1
253
49
277
337
2
1
146
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
9
3
1
3
3
1
1
2
13
2
1
1
4
1
1
1
53
2
1
1
2
2
1
1
3
1
2
5
3
2
1
1
1
1
6
1
1
1
1
1
4
1
2
18
1
2
2
1
1
1
5
2
1
1
2
3
1
1
1
1
2
3
1
1
15
2
3
1
7
1
7
1
1
4
5
6
4
1
14
1
10
2
22
4
2
1
4
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
42
1
1
1
1
2
4
1
1
3
1
1
11
1
1
1
1
1
1
1
1
1
4
1
1
7
3
1
1
1
1
1
8
2
1
1
1
3
1
2
1
1
1
1
1
9
1
2
1
1
1
1
1
2
4
2
1
1
1
1
4
3
1
1
1
2
1
184
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
2
1
6
2
1
3
2
1
1
1
5
2
1
1
1
1
5
4
1
2
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
5
1
1
1
15
2
5
12
1
7
3
1
8
2
1
2
1
1
26
14
2
1
1
2
67
1
5
1
12
2
23
1
1
3
1
3
1
2
3
1
3
1
1
3
2
1
1
1
1
5
2
19
1
1
4
1
1
1
1
1
1
2
3
7
52
39
1
1
1
1270
1979
1
1
4
2
49
6
7
3
1
1
3
1
1
2
1
10
1
6
1
1
1
1
1
4
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
5
1
1
18
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
2
3
2
1
1
1
5
1
1
50
3
1
2
1
1
1
3
2
1
1
1
2
2
1
1
11
3
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
4
2
3
1
1
1
1
2
1
2
8
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
5
1
1
2
1
1
1
1
2
13
1
1
1
1
1
2
1
1
1
1
1
6
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
2
4
1
1
2
2
1
1
2
1
1
2
2
1
4
1
1
1
2
7
1
1
2
1
2
1
1
1
1
12
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
2
1
1
1
2
2
3
1
1
1
3
12
1
1
1
1
6
4
1
1
3
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
4
1
16
2
15
1
1
1
1
1
1
1
3
663
2
1
2
2
2
2
1
3
1
4
5
10
25
5
2
1
5
7
1
1
1
2
1
1
5
1
5
3
2
124
1
1
1
1
2
4
1
5
1
2
6
16
3
1
1
4
1
2
1
2
3
1
9
1
1
3
3
5
2
1
1
2
3
1
1
1
1
3
2
1
1
5
1
1
1
1
2
1
5
23
1
1
3
1
1
3
7
26
1
1
1
2
1
1
2
1
2
1
20
1
1
1
4
1
1
1
5
1
1
5
1
4
23
2
1
36
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
2
10
1
5
2
2
1
1
31
1
4
1
1
5
61
1
2
3
5
2
1
1
53
2
1
2
1
41
3
1
2
1
1
1
8
1
1
1
1
1
1
2
1
1
1
1
2
2
2
1
8
1
1
1
1
1
1
2
1
6
1
19
1
1
1
1
1
1
1
81
2
2
3
54
1
1
4
2
2
1
1
1
2
2
1
2
2
28
3
2
3
1
2
