1
1
1
2
1
3
1
2
1
1
1
3
1
1
6
1
1
1
1
1
1
4
6
1
1
2
1
2
2
1
2
8
1
4
1
1
2
1
3
9
1
7
1
5
1
1
4
1
1
1
1
1
1
1
2
2
1
2
2
1
1
1
1
1
2
2
1
1
1
7
1
43
1
3
32
1
2
2
3
1
2
1
6
2
1
1
1
2
1
1
1
4
7
1
1
1
2
2
4
22
1
1
5
2
1
47
1
2
1
1
2
1
1
2
1
3
2
2
2
5
2
1
3
1
2
28
102
2
4
2
2
1
3
1
45
2
1
1
2
1
1
2
19
1
6
1
1
6
5
5
1
4
1
1
1
2
1
3
1
1
1
1
3
3
3
4
1
1
1
1
1
1
2
2
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
44
3
5
2
3
190
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
115
1
1
1
1
3
1
1
6
1
1
2
7
2
4
1
1
1
1
1
1
405
205
3
1
2
1
2
1
1
2
2
1
1
1
1
1
5
3
1
1
2
1
1
2
6
1
1
2
1
1
1
1
2
6
1
2
7
2
20
1
2
2
1
1
2
1
4
2
1
1
1
2
1
9
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
8
2
1
294
3
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
4
1
2
1
1
1
1
1
1
1
1
1
2
4
1
1
1
1
1
1
1
13
2
2
2
1
2
2
1
1
1
59
3
1
4
1
1
2
1
294
1
6
1
49
1
1
4
8
2
2
2
1
84
1
1
1
2
1
1
1
1
1
4
2
1
1
2
2
3
1
9
1
1
1
1
11
1
2
2
1
1
1
1
1
1
1
3
1
2
2
2
1
1
1
1
1
1
2
2
1
1
1
20
3
8
1
1
1
1
1
1
2
1
1
1
59
3
1
1
1
1
1
1
1
14
3
1
1
1
2
1
3
6
1
1
1
2
1
1
2
1
1
11
1
1
2
1
6
1
1
1
1
1
4
1
1
1
49
2
1
1
2
3
1
1
1
1
1
1
1
1
1
1
54
195
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
4
11
1
1
1
1
1
3
5
1
5
3
6
1
2
2
1
8
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
2
2
1
3
1
1
1
1
3
2
4
1
1
1
1
1
1
8
2
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
155
67
100
503
17
1
1
1
3
3
2
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
198
588
17
1
1
1
2
1
1
1
1
2
1
2
1
640
2
699
25
1
1
1
1
1
2
1
2
1
1
3
1
1
1
3
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
2
2
2
2
2
2
1
3
1
2
1
7
1
20
2
1
75
12
3
1
5
2
1
5
1
1
1
1
1
1
1
1
1
1
4
1
5
2
1
1
2
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
4
3
1
1
1
1
1
1
1
7
3
1
2
1
1
2
2
14
1
1
1
1
1
2
1
11
1
3
2
2
17
3
1
1
2
1
1
1
1
6
1
1
6
6
2
1
1
1
1
1
3
2
1
2
4
1
1
18
5
1
1
1
39
2
1
1
1
2
1
1
1
1
1
4
1
2
1
1
1
7
1
1
1
1
14
1
1
1
1
1
4
2
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
1
1
25
1
7
5
3
1
1
2
1
1
1
1
1
2
1
1
1
1
2
3
3
2
1
1
1
1
76
3
1
2
1
1
1
1
1
19
1
1
2
2
2
1
1
1
1
3
1
3
1
1
1
1
1
4
1
1
1
1
1
1
3
2
1
601
624
533
21
1
8
3
49
1
1
1
1
3
81
103
1
3
1
2
3
1
1
2
1
1
1
1
1
6
1
2
2
1
1
1
1
1
3
6
2
1
1
1
663
948
90
1
19
175
33
1
3
1
3
1
18
1
1
1
2
1
1
1
1
2
1
172
188
37
1
1
1
1
3
1
4
2
3
1
14
5
1
1
3
1
2
3
176
1
2
3
1
2
1
1
1
1
1
1
2
2
1
1
1
1
1
98
103
374
1
1
1
1
1
1
1
1
2
18
3
1
205
217
1
1
1
1
1
2
2
14
1
5
1
1
3
1
1
2
1
2
1
1
1
1
2
1
1
8
8
3
5
1
2
1
9
1
1
4
1
1
1
1295
1270
40
1
1
1
1
1
1
2
1
1
1
1
78
13
1
1
1
1
1
1
1
212
519
7
1
1
1
1
1
1
1
2
1
8
1
1
1
1
2
2
1
2
2
1
1
1
3
1
1
2
1
2
1
1
6
3
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
7
1
2
1
163
1
7
1
1
16
1
1
1
1
1
1
1
4
1
2
1
3
1
2
1
3
1
1
1
1
1
1
1
1
2
1
1
270
476
26
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
4
1
1
1
1
1
19
1
3
1
1
1
1
1
1
2
1
1
1
8
2
1
1
2
1
5
4
1
1
1
1
1
5
1
8
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
2
11
1
2
13
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
29
1
2
2
1
1
1
3
1
1
1
1
1
1
1
3
3
1
19
1
28
1
32
1
1
1
2
57
1
1
1
797
230
4
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
13
421
563
5
5
1
1
3
2
1
1
1
3
1
2
2
1
1
4
1
1
5
1
3
3
1
1
4
1
2
30
5
1
1
1
1
2
1
139
36
11
1
3
1
1
1
4
1
2
2
8
128
172
1
1
1
1
1
1
1
188
138
87
1
1
91
1
99
31
1
1
441
1
2
1
7
3
3
1
2
2
3
384
968
13
1
2
2
1
1
14
2
1
2
2
1
1
1
4
1
1
1
2
1
1
3
1
1
1
1
55
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
1
5
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
3
1
14
1
2
4
1
1
2
1
1
2
1
6
2
1
1
1
1
1
1
3
1
4
1
1
3
4
1
2
2
1
1
1
1
1
1
1
1
491
1
1
1
1
1
3
1
1
1
3
1
3
1
2
1
8
1
3
4
1
1
1
1
1
1
1
1
1
1
1
4
5
13
1
1
1
3
1
1
9
1
1
2
13
1
1
5
1
2
1
4
6
2
1
1
1
1
1
3
1
1
1
1
2
35
1
1
1
2
7
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
2
3
4
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
12
1
1
1
2
1
2
5
1
1
40
1
1
1
47
1
1
1
1
6
1
319
1
37
86
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
4
1
1
2
1
1
2
1
2
4
3
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
3
4
1
1
2
59
3
1
1
1
1
5
2
1
1
1
74
1
1
5
3
10
1
5
1
1
17
3
4
4
3
2
1
3162
1
1
2
22
22
1
1
1
1
1
1
1
2
1
423
1
2
1
3
4
2
1
1
6
5
1
1
2
1
1
1
1
1
1
1
7
28
1
1
1
1
2
1
1
1
3
1
204
1
3
1
9
1
2
1
2
4
1
1
2
1
1
1
1
1
4
4
1
9
1
1
1
1
1
2
1
1
1
2
16
1
1
1
1
1
1
1
1
2
1
15
1
1
2
1
1
16
2
1
1
2
205
3
1
1
1
1
1
86
4
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
3
3
2
1
1
224
191
1
1
1
1
1
1
1
1
1
3
1
8
1
2
2
1
1
2
1
2
1
1
2
12
34
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
65
3
3
2
1
1
20
1
1
1
1
1
2
1
1
1
1
1
2
5
1
1
1
4
1
9
1
2
1
1
1
1
8
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
2
1
4
1
2
2
1
1
1
4
1
1
9
1
2
2
1
9
2
87
7
1
1
1
1
1
12
2
2
1
3
4
1
1
1
1
1
2
5
1
1
2
1
1
10
2
1
1
1
1
1
1
16
1
2
1
1
2
24
2
3
2
3
1
1
1
22
2
2
2
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
1
1
3
1
1
1
1
1
2
4
11
1
1
1
1
1
1
1
3
1
2
2
3
1
10
1
3
1
1
1
2
3
1
3
1
1
1
1
1
4
3
1
15
1
3
1
1
1
1
1
6
1
2
1
1
4
1
3
32
1
1
6
4
1
1
1
2
1
1
1
1
3
1
1
2
6
1
4
1
1
2
1
3
1
2
1
3
1
1
7
1
3
2
1
1
3
1
1
1
3
3
1
1
1
1
1
1
1
4
1
1
1
1
647
274
1
2
1
1
1
2
1
2
9
56
30
29
33
293
34
45
40
1
3
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
3
5
1
5
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
3
1
1
1
1
5
3
2
2
1
1
4
2
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
2
2
1
1
1
1
2
2
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
3
1
4
1
1
2
1
1
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
1
1
1
3
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
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
2
1
1
1
1
1
2
1
1
1
1
2
1
89
1
1
1
2
2
1
1
1
1
2
1
1
2
1
1
2
2
1
1
1
1
1
1
1
3
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
1
2
2
1
4
1
2
2
3
3
1
1
1
1
1
1
1
17
3
1
1
1
1
4
1
1
1
1
1
2
2
1
2
1
1
1
19
2
1
1
1
342
364
5
231
1
404
1
1
248
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
67
18
1
1
1
2
3
2
1
6
2
1
1
4
2
1
1
174
75
2
1
2
2
1
1
1
1
1
2
1
1
3
1
1
1
1
1
5
1
1
1
7
3
2
6
23
1
1
1
6
1
1
1
1
5
2
1
2
1
1
1
1
1
1
1
1
1
1
2
3
1
1
1
1
7
2
1
6
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
24
1
2
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
3
1
30
1
3
1
1
5
2
4
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
14
4
1
1
1
1
1
3
3
1
1
1
1
1
1
34
1
1
1
8
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
3
16
1
1
1
1
1
2
4
1
1
2
4
12
1
1
2
1
2
2
1
1
1
5
1
134
2
1
1
1
1
3
2
1
1
1
3
1
9
7
1
3
2
5
2
2
2
2
1
24
1
15
1
1
1
2
3
2
1
1
1
37
1
1
1
4
19
1
2
4
1
2
1
4
1
4
1
2
1
2
13
1
1
2
2
1
1
1
9
1
91
88
1072
1
2
2
906
1318
7
1
2
65
44
1
1
2
4
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
3
1
2
1
1
1
2
1
1
136
1
1
1
1
1
1
1
1
1
7
1
1
1
1
1
1
1
1
3
1
1
1
2
4
4
2
1
1
1
1
1
1
1
3
2
1
1
1
1
1
2
1
1
2
1
74
2
2
1
1
1
3
3
1
10
1
3
1
1
1
1
3
1
1
1
3
2
6
1
1
1
1
1
2
3
1
19
1
2
2
1
2
1
1
1
1
2
1
1
1
1
1
7
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
3
1
2
1
2
2
2
2
1
1
1
1
2
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
2
2
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
7
2
1
1
5
1
1
2
1
1
1
1
1
1
1
2
1
7
2
1
4
1
1
2
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
9
1
2
1
1
1
3
3
3
2
1
2
1
2
1
2
1
2
1
48
2
2
15
31
1699
2
3
3
1
1
1
1
1
1
1
1
2
2
3
1
2
2
1
1
3
1
1
5
1
1
1
1
1
24
1
2
18
2
3
1
1
1
713
10
9
41
21
1
1
1
1
1
2
1
1
1
1
1
1
30
1
1
8
1
1
3
6
2
1
3
1
1
1
192
177
1
1
1
1
3
1
3
1
3
4
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
9
1
1
1
1
1
1
1
1
1
4
1
15
1
1
1
1
1
1
1
1
1
1
3
1
2
3
18
1
1
4
1
1
2
1
1
1
2
1
1
1
16
1
1
1
1
1
4
1
1
1
8
1
1
2
2
3
1
3
2
1
17
1
1
2
1
1
78
2
4
3
1
63
1
1
1
4
1
3
1
1
1
1
2
3
1
1
1
1
4
2
1
1
8
1
1
1
1
1
3
1
1
12
2
2
1
1
99
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
18
7
1
1
8
1
1
1
1
1
1
2
2
2
