1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
4
1
2
1
7
1
1
4
1
2
1
2
1
12
49
2
1
1
1
1
1
2
3
11
1
1
5
1
2
3
1
6
7
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
7
1
1
1
1
11
3
1
73
1
3
1
3
1
3
1
32
1
4
2
1
1
5
1
1
2
1
1
2
1
1
1
2
1
1
2
1
2
2
1
9
1
1
1
1
1
3
58
1
1
10
1
3
5
5
1
1
1
2
12
1
1
2
4
1
1
1
5
4
1
15
1
1
1
4
2
1
102
34
2
4
1
3
3
2
2
1
2
32
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
1
15
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
1
1
2
1
1
1
14
1
1
2
1
1
1
1
1
2
1
1
1
1
4
7
1
1
1
1
1
1
1
1
1
1
1
2
4
1
32
1
1
3
1
1
2
1
2
181
1
1
2
3
1
1
1
1
1
1
1
1
1
8
1
116
1
1
2
1
1
1
1
2
1
3
1
1
1
1
1
3
7
4
4
1
1
3
1
1
2
3
1
1
1
5
1
3
1
1
1
1
1
396
215
1
1
1
12
1
1
1
2
4
1
1
12
6
16
1
1
4
1
1
3
1
1
11
1
1
1
1
3
2
2
4
1
21
3
21
4
6
10
4
3
1
1
1
13
1
4
6
1
12
2
1
1
1
3
1
1
3
6
51
3
2
1
1
1
1
1
2
1
4
119
1
1
31
1
3
1
1
1
1
1
989
3
2
1
5
1
1
1
1
1
1
1
1
2
4
1
1
2
1
1
15
1
1
3
2
2
2
4
2
1
1
2
2
3
1
1
1
9
2
1
1
1
3
1
1
5
1
2
1
1
1
3
2
2
2
1
2
19
1
1
2
1
1
5
1
54
1
1
1
1
1
1
280
2
1
1
1
43
1
4
1
7
1
1
1
2
1
1
5
1
1
72
1
1
2
1
8
1
1
1
1
3
1
1
2
2
3
1
1
1
4
1
1
2
1
5
4
4
2
8
1
1
1
1
1
8
1
1
2
1
86
1
2
1
25
2
1
1
1
1
1
3
4
3
1
5
2
6
1
1
22
1
1
1
1
2
1
2
3
1
1
1
1
1
1
3
1
1
3
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
18
2
1
1
1
1
1
1
16
11
1
1
1
1
1
1
1
1
1
1
37
1
6
1
5
1
3
6
1
1
1
1
1
1
1
1
1
1
2
3
1
2
1
1
1
2
1
50
1
1
2
1
1
1
1
2
1
1
2
1
1
1
8
8
2
2
1
1
1
1
1
2
1
181
58
1
1
2
1
1
1
1
2
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
2
1
1
1
1
3
1
1
1
1
11
1
13
54
10
8
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
1
3
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
7
1
1
1
22
1
1
1
1
1
2
12
3
2
2
3
3
1
1
1
1
1
1
1
150
67
97
13
16
1
1
1
1
2
1
1
1
9
2
1
1
2
1
1
1
2
1
37
1
1
1
1
1
2
1
3
1
1
1
1
4
1
3
1
17
1
1
1
1
5
5
1
1
1
572
188
1
1
1
1
1
2
1
1
8
1
1
1
1
1
3
1
1
1
684
624
1
1
20
1
2
3
1
4
1
2
1
1
3
1
9
1
1
1
1
1
2
1
1
5
15
1
1
1
1
1
2
1
1
1
1
6
1
1
12
1
1
2
1
2
1
1
6
31
74
14
4
9
3
4
4
5
1
1
1
1
2
1
1
10
3
4
1
1
3
2
2
1
1
1
2
1
1
1
6
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
10
1
4
1
1
1
1
1
1
1
1
1
2
2
1
2
4
1
1
1
1
1
1
1
1
20
2
1
2
2
1
1
1
2
2
1
13
1
4
1
1
1
1
4
122
1
1
1
7
1
3
1
1
3
1
1
1
1
1
1
1
4
1
2
4
1
3
1
1
3
9
1
4
1
6
1
1
1
5
3
1
1
2
1
1
5
22
1
2
2
1
1
3
47
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
269
11
1
1
1
1
1
2
1
1
1
3
7
2
1
4
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
4
1
1
2
2
1
2
1
1
2
3
1
5
2
1
1
1
1
1
1
1
1
1
1
1
1
4
35
1
1
1
2
1
2
1
4
22
2
1
3
4
1
8
1
1
2
3
1
1
1
1
1
1
1
2
10
1
3
1
2
7
1
1
19
2
2
1
1
2
1
1
5
1
1
1
2
1
1
1
2
1
1
1
1
4
5
1
1
1
1
1
603
613
2
8
1
9
1
1
48
2
1
3
109
85
1
1
1
1
1
1
1
1
5
1
2
1
3
1
1
1
1
1
1
1
4
5
1
1
2
3
2
1
1
949
646
1
2
19
1
1
1
2
1
1
1
1
1
3
1
2
1
202
1
1
1
2
1
2
1
1
1
166
176
1
1
1
1
1
1
1
1
1
1
5
1
4
2
1
27
1
177
35
1
8
6
1
25
8
193
1
1
1
2
5
2
1
1
4
1
1
1
1
1
1
1
4
1
1
1
101
100
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
23
1
200
208
3
1
1
1
1
1
3
1
2
1
1
1
2
1
1
9
3
4
11
1
1
5
2
1
1
1
8
1
1
1
1
9
1243
1275
3
6
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
3
2
15
1
5
12
1
1
1
4
1
1
1
2
1
1
1
503
193
1
1
1
15
1
2
1
1
1
7
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
3
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
5
1
161
1
7
2
14
1
2
2
1
1
1
1
1
1
1
1
1
2
2
1
17
2
1
1
1
1
2
1
1
1
4
1
1
1
2
1
1
1
1
1
3
1
1
268
482
1
2
1
1
1
2
1
3
1
3
1
1
1
3
1
1
1
1
1
2
1
1
2
2
1
1
1
1
19
18
1
2
1
1
17
3
1
1
2
1
1
1
1
1
4
16
3
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
4
1
1
1
4
1
1
1
1
4
1
23
1
1
2
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
2
1
1
2
30
1
7
1
1
1
1
1
1
1
2
1
1
1
1
1
1
6
1
1
1
1
1
2
1
2
1
2
33
1
1
1
1
19
1
2
2
1
2
2
1
1
1
53
1
222
789
3
1
1
19
27
2
2
2
3
4
1
1
2
1
1
3
1
2
1
1
580
414
3
1
1
3
1
5
1
1
2
3
1
1
1
7
1
1
2
1
1
3
13
2
18
4
1
1
1
4
1
2
2
1
24
109
1
5
140
35
12
1
2
1
2
1
1
2
2
1
68
1
1
2
1
1
1
1
1
164
130
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
135
189
1
1
2
86
1
5
180
29
109
1
6
1
1
476
5
1
8
4
1
2
4
1
1
1
1
2
944
396
2
1
2
1
18
1
1
1
1
2
1
2
2
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
40
1
2
3
2
1
1
1
1
2
1
1
2
2
1
1
2
2
1
1
1
1
1
1
2
1
1
1
4
1
2
2
1
3
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
4
3
2
3
1
1
29
1
1
1
1
2
2
1
1
11098
1
2
1
1
1
1
1
165
1
1
1
2
1
1
1
1
1
2
1
1
2
2
1
1
2
1
1
3
1
1
1
1
1
251
2
3
1
1
1
1
1
1
1
1
8
4
1
1
5
5
5
3
21
3
2
1
1
1
6
1
19
1
2
4
4
7
17
1
1
1
1
1
1
5
1
1
21
3
1
1
1
1
1
1
2
1
1
3
8
32
1
3
1
1
1
1
1
5
1
1
1
1
4
4
2
1
1
1
7
2
1
1
1
4
1
3
1
1
2
2
1
1
2
1
3
7
1
4
1
1
7
13
4
1
3
1
1
2
1
1
1
1
14
2
1
1
2
3
1
1
5
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
49
1
1
1
1
3
1
2
1
1
316
2
2
1
3
1
1
1
54
1
1
82
35
9
23
1
1
1
1
1
3
1
2
2
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
4
1
1
1
1
32
1
1
1
1
7
2
1
1
3
1
4
1
4
1
1
1
1
1
5
1
1
1
28
2
1
1
1
1
1
3
1
2
1
1
1
1
1
1
4
3
1
2
4
1
8
1
1
1
5
1
1
1
2
1
3
1
1
1
75
1
1
1
2
1
1
17
5
1
1
18
2
2
2
1
4
1
2
5663
1
1
1
43
1
59
1
1
2
1
10
1
19
1
1
1
4
1
1
3
1
1
1
1
412
2
1
2
2
1
1
1
1
1
1
1
1
1
2
7
1
3
1
1
2
1
1
1
1
1
2
1
37
2
1
1
1
1
1
1
1
1
2
1
1
5
1
1
3
1
195
1
1
1
2
1
1
1
1
7
1
2
3
3
1
3
3
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
2
18
1
2
3
1
1
1
7
1
1
2
3
1
1
1
1
1
1
1
1
1
3
1
1
1
4
1
1
1
1
6
2
81
1
1
1
1
1
1
1
1
1
1
1
1
2
2
5
1
120
2
1
2
1
1
1
1
1
2
1
1
6
1
1
2
1
3
1
1
1
1
1
1
2
2
4
15
1
1
1
1
1
1
3
1
2
2
1
2
1
1
1
1
1
1
4
1
3
1
1
1
1
2
1
1
2
1
192
238
1
1
5
1
1
1
1
5
4
1
1
2
4
1
1
1
7
1
4
4
1
1
1
53
1
1
1
1
5
1
1
2
1
1
2
35
1
1
1
1
1
1
1
1
18
18
1
1
75
1
1
5
2
1
1
16
1
1
1
1
1
1
2
1
1
1
1
5
2
1
12
35
1
1
1
1
1
1
1
1
1
1
1
4
1
3
1
2
1
1
1
1
1
370
2
1
1
12
1
1
2
1
3
1
1
1
1
2
1
1
1
2
1
6
1
2
1
1
1
1
38
17
9
7
94
1
1
1
4
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
1
2
1
1
1
1
1
1
9
1
1
3
2
1
55
1
1
3
2
23
3
2
3
14
58
1
1
1
1
2
2
2
1
22
1
1
3
2
227
2
2
1
3
1
1
14
2
1
1
3
1
2
4
1
1
3
17
1
1
1
1
1
1
1
2
1
19
1
2
1
15
2
2
1
1
1
3
1
1
1
1
2
1
1
1
1
1
10
1
1
1
1
3
3
1
1
1
1
1
1
2
1
2
3
1
1
2
3
1
1
1
2
1
1
1
11
1
1
1
1
1
1
8
10
1
1
1
4
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
2
5
1
1
1
8
1
1
2
1
1
1
3
2
2
1
2
1
1
2
3
1
2
1
1
33
4
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
3
1
2
2
1
1
2
634
279
7
21
5
1
1
5
2
1
1
3
1
36
7
41
52
27
1
1
47
32
8
2
41
5
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
2
2
1
5
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
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
2
3
1
1
1
1
2
1
5
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
4
1
2
2
1
1
1
2
2
1
1
1
1
2
1
1
1
2
1
2
1
1
3
1
1
6
1
2
1
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
3
2
1
1
1
1
4
1
1
1
2
1
3
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
2
1
5
1
2
2
1
1
1
3
1
1
1
2
3
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
3
1
1
3
3
1
1
3
1
1
3
2
2
1
1
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
2
1
1
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
2
1
1
1
2
84
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
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
3
1
1
1
1
1
1
2
5
1
55
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
1
19
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
20
1
1
1
2
1
2
2
1
1
3
1
2
2
1
358
344
2
227
1
1
1
1
3
9
1
544
2
1
1
1
1
240
1
1
1
1
3
7
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
18
2
1
6
1
6
1
1
1
1
4
6
3
2
1
1
175
70
1
15
1
1
1
1
1
1
1
1
1
1
1
1
6
1
7
1
1
1
2
1
1
2
14
1
1
2
1
1
1
3
1
1
2
1
2
1
5
29
1
1
1
1
1
1
1
7
1
1
1
2
7
1
1
2
1
1
8
8
27
1
2
14
2
1
4
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
1
5
2
1
1
1
1
1
3
1
1
1
1
1
1
2
2
26
3
1
11
1
1
1
4
1
3
1
1
2
1
2
1
1
1
3
2
1
6
1
1
1
2
2
3
13
3
1
3
2
1
2
1
1
1
1
1
1
2
1
1
1
1
33
4
2
1
1
8
2
1
2
1
3
3
1
1
1
1
1
2
1
1
1
11
4
1
2
2
3
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
4
1
1
4
2
1
1
1
2
9
1
2
1
1
1
6
1
1
1
1
3
1
1
6
1
1
1
6
1
1
1
1
1
1
4
16
2
1
22
1
9
1
1
2
6
2
2
1
2
1
4
23
22
1
3
1
1
4
1
1
2
1
1
1
6
23
1
1
3
2
1
1
1
6
1
1
5
3
4
3
1
1
2
1
1
2
1
1
1
1
505
1
1
2
2
11
1
1
4
1
1
8
2
2
92
83
1
3
863
1263
27
1
2
2
2
40
68
7
3
1
1
4
2
2
1
2
2
12
3
1
1
1
2
1
1
4
1
1
1
1
1
1
1
2
1
4
2
2
1
1
1
1
1
1
1
1
2
1
2
1
2
1
8
4
2
5
2
1
1
2
1
1
1
1
2
2
6
6
5
2
1
4
1
2
6
1
3
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
4
1
1
21
2
1
18
1
2
1
1
1
1
1
1
3
1
1
2
1
1
1
5
3
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
2
1
1
1
6
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
16
3
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
1
2
1
1
3
1
1
1
1
1
1
1
4
1
1
1
2
1
2
2
1
2
1
1
1
1
3
1
4
1
1
4
1
2
1
1
1
2
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
4
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
49
2
2
14
30
4
1
1
1
1
6
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
5
2
1
3
1
1
13
3
1
3
1
1
10
1
1
2
3
12
1
1
1
1
12
1
736
1
1
1
1
1
1
1
1
1
1
1
2
1
6
1
8
14
12
2
2
1
1
3
2
6
1
3
1
1
3
1
1
3
1
4
187
187
1
1
19
3
1
4
1
1
1
2
3
2
4
4
1
1
1
1
2
1
3
1
7
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
4
2
1
2
1
4
2
1
4
1
2
19
1
1
1
1
1
2
1
5
24
1
8
3
1
1
1
1
1
2
1
17
2
1
1
2
4
1
1
1
4
2
1
2
1
1
5
3
7
4
1
1
1
2
1
1
13
1
1
2
1
3
2
2
2
3
3
2
2
1
1
1
47
2
2
1
2
1
1
1
1
78
1
1
1
2
11
63
2
3
1
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
1
4
1
1
1
1
1
3
1
1
22
1
3
1
3
1
4
160
2
5
1
1481
3
1
1
1
1
1
2
1
3
1
3
1
2
1
13
3
1
1
1
6
1
1
1
1
2
1
1
1
1
1
9
1
1