1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
3
1
1
3
1
1
1
3
2
1
1
7
1
1
1
2
1
2
1
1
1
8
1
1
1
1
1
1
1
4
1
13
1
7
4
6
1
1
1
1
2
1
1
1
1
1
1
1
2
4
2
1
3
1
1
5
1
1
2
3
2
8
1
1
1
1
3
1
2
1
1
1
3
4
1
1
2
1
3
9
1
1
5
1
1
1
7
1
1
1
1
1
5
2
1
1
5
1
3
1
1
1
2
1
1
1
2
1
1
1
1
2
5
1
1
2
3
1
1
1
1
1
2
1
1
2
1
2
1
1
1
3
1
1
3
2
1
1
1
2
1
4
2
1
1
1
1
1
7
1
43
1
1
1
1
1
2
1
1
1
1
6
34
1
1
1
1
2
7
1
1
1
1
2
3
7
1
1
1
1
1
2
1
1
9
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
1
1
3
1
4
39
3
1
1
1
1
2
2
1
1
2
2
4
1
22
3
1
1
1
1
1
5
1
1
5
2
1
1
47
1
1
2
1
1
2
1
2
2
1
1
5
1
1
1
2
2
3
2
2
2
5
1
1
1
2
1
1
3
1
2
2
2
4
1
1
33
106
1
1
3
2
4
1
2
1
2
2
8
1
4
27
3
1
3
45
3
3
2
1
1
1
1
1
1
2
1
1
1
3
1
2
1
4
2
2
2
9
2
2
1
4
1
2
1
1
20
1
7
2
1
1
2
1
1
3
1
1
7
5
1
2
1
1
1
1
5
1
1
2
1
2
4
1
1
1
2
2
1
1
1
1
1
1
1
3
2
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
1
2
2
1
3
1
1
1
3
3
1
1
1
1
1
4
1
1
1
1
1
1
7
3
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
6
1
1
1
1
1
4
1
1
1
5
1
1
1
2
1
1
1
1
7
1
2
1
1
1
1
1
1
1
2
3
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
4
44
3
12
2
1
1
1
1
2
3
2
1
1
2
1
1
3
1
1
190
1
3
11
3
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
1
3
2
1
1
1
1
1
3
2
1
1
2
3
2
1
1
8
1
116
1
2
1
1
1
1
1
1
2
1
5
1
1
2
1
5
3
4
1
1
1
1
8
1
1
2
7
1
1
2
4
1
1
1
1
5
2
10
1
3
1
1
1
3
1
3
1
1
1
1
1
1
9
1
1
1
1
1
1
405
205
3
2
1
2
2
1
6
1
2
4
1
1
1
1
2
2
1
1
3
1
3
1
1
1
1
1
1
1
5
1
3
1
1
2
2
2
2
2
6
1
1
1
1
3
1
2
1
1
1
1
1
1
1
2
6
1
2
1
2
2
1
7
1
1
23
24
2
1
2
1
1
1
2
2
8
5
1
1
4
1
1
3
1
4
2
4
1
2
1
1
1
1
1
1
1
1
1
3
2
1
3
1
1
1
1
9
2
1
3
1
1
1
1
2
1
1
1
1
1
2
1
4
1
1
1
1
1
2
64
2
1
1
1
1
2
1
4
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
8
2
2
1
1
294
1
3
1
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
1
1
1
4
5
1
1
1
1
2
6
1
1
1
2
8
3
1
1
1
2
1
1
1
2
1
3
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
3
1
3
1
2
4
2
1
1
1
1
1
1
1
1
1
1
1
1
1
13
2
1
1
1
2
2
3
1
2
4
1
1
2
1
1
4
1
1
60
1
1
1
1
4
1
1
1
1
1
1
3
1
4
4
1
1
1
1
3
1
2
4
294
1
1
1
1
3
1
83
1
1
2
49
1
1
1
4
1
8
2
2
2
1
1
1
1
11
3
2
7
1
6
1
93
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
1
4
2
1
1
2
5
2
3
6
4
2
1
1
3
1
1
1
1
4
2
1
2
1
3
2
1
3
9
3
7
1
1
1
1
1
1
9
1
1
2
5
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
143
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
3
1
1
5
2
1
2
1
4
1
1
1
1
3
1
1
1
1
1
2
2
1
2
2
1
2
1
1
1
1
1
2
1
1
2
1
1
20
3
8
4
1
1
1
1
1
2
2
6
1
1
1
1
1
2
1
2
1
1
1
1
1
1
6
1
1
2
1
10
59
3
1
1
1
3
1
4
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
16
3
1
1
1
1
1
1
1
2
1
1
4
1
3
1
1
1
1
1
1
1
4
1
1
1
6
1
1
1
1
1
2
1
39
1
1
2
1
1
2
1
1
2
3
3
1
1
2
3
11
1
1
1
2
1
1
1
2
1
1
7
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
2
4
1
1
1
1
1
1
4
1
1
17
1
1
1
1
1
1
1
49
1
3
2
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
1
1
1
3
4
1
1
1
1
3
1
1
1
1
4
2
1
1
2
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
60
197
3
2
3
3
1
1
1
1
1
1
1
2
1
1
2
1
1
5
1
1
2
1
1
1
1
4
1
1
1
1
1
1
12
1
1
2
1
2
1
1
1
1
7
2
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
3
6
2
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
4
40
13
1
1
2
4
1
1
1
1
1
1
7
3
1
2
3
1
3
3
2
5
2
1
1
5
3
2
6
2
1
2
2
1
1
1
10
1
1
1
1
2
1
1
2
1
1
1
3
3
1
1
1
4
1
1
1
1
1
1
2
1
1
1
3
3
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
2
1
2
1
1
1
2
2
1
1
1
1
1
6
1
3
1
1
1
1
1
1
1
3
1
2
2
2
1
3
4
4
1
1
1
1
1
1
1
1
1
1
1
2
2
8
4
3
1
1
3
2
1
1
1
2
1
4
1
1
1
1
15
1
1
1
2
1
1
1
1
5
2
1
3
1
1
1
2
1
1
2
1
1
1
2
2
1
1
6
1
2
1
1
1
1
68
155
2
2
100
503
18
1
1
1
1
1
1
1
1
6
3
1
2
1
13
1
4
1
1
1
1
2
1
1
1
1
1
1
12
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
2
1
1
5
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
31
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
588
198
17
1
1
1
2
5
1
2
1
1
1
1
1
5
1
1
1
3
1
2
1
1
1
1
1
1
2
2
1
1
1
1
2
1
1
648
699
2
3
25
1
1
1
2
1
1
2
1
1
2
1
2
6
1
1
1
5
2
3
1
3
1
2
2
1
2
1
1
4
2
1
1
1
1
2
2
2
1
1
1
2
2
1
2
1
1
1
2
1
1
5
1
1
1
3
1
4
2
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
2
1
1
1
3
1
1
3
1
1
1
1
1
1
2
2
2
5
2
4
1
2
1
3
3
2
1
2
2
1
7
2
20
1
1
1
6
1
2
1
75
12
3
1
5
2
4
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
5
1
5
1
1
2
1
3
1
1
1
1
2
1
1
1
2
1
1
3
5
1
1
2
3
2
1
1
1
1
1
1
1
2
1
2
3
3
2
4
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
4
3
1
2
1
1
2
1
1
1
1
1
2
6
4
2
6
1
1
1
1
2
2
1
1
1
1
1
1
2
4
1
1
6
1
1
1
7
1
2
5
1
2
3
1
1
1
1
2
2
1
1
1
2
1
1
2
2
1
1
2
14
2
1
2
1
1
1
1
2
1
1
1
2
1
1
11
1
1
5
3
2
2
17
1
1
1
1
3
1
2
2
2
3
2
2
1
4
1
1
8
7
1
1
1
2
1
1
8
1
1
6
1
1
1
6
7
1
2
1
1
2
20
1
1
2
1
1
3
1
1
1
1
3
1
2
2
1
4
2
4
1
1
1
1
2
1
1
2
1
1
1
1
1
2
2
1
20
5
1
1
1
1
1
1
1
1
1
1
1
1
1
40
1
1
2
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
3
1
1
8
1
2
1
1
1
1
1
2
3
1
1
4
1
1
1
2
1
1
1
1
1
7
5
2
1
1
1
7
2
1
1
1
26
1
1
1
1
1
1
1
14
1
1
1
1
3
19
1
1
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
3
2
1
2
1
1
1
2
2
1
3
1
1
2
1
2
1
2
1
2
6
1
1
1
2
2
2
1
5
1
3
1
4
1
1
1
1
1
1
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
2
2
1
1
1
1
1
5
3
1
1
1
2
2
25
1
5
1
1
1
1
1
1
7
5
3
1
1
2
1
1
1
1
1
1
21
23
1
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
2
1
1
1
1
3
1
1
5
2
56
1
15
5
7
2
3
10
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
76
3
1
2
1
1
3
2
2
1
1
3
2
1
1
19
1
1
2
2
2
1
1
1
1
1
2
3
1
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
3
1
2
3
1
7
1
2
1
1
3
1
1
1
1
1
4
2
1
1
1
1
3
1
1
2
1
1
6
3
2
1
5
618
624
533
21
1
1
2
8
3
1
5
2
1
1
1
3
2
1
49
2
4
1
1
1
1
1
3
104
86
1
1
2
1
3
1
2
4
1
1
1
2
1
1
3
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
3
6
188
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
2
1
1
3
1
6
3
1
1
2
1
1
2
1
1
1
2
4
950
669
90
1
1
19
175
33
2
2
1
3
1
4
1
2
1
2
2
3
6
2
1
18
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
4
2
2
2
1
6
2
2
1
1
2
1
172
188
37
2
1
7
1
1
6
3
2
7
1
2
3
1
1
1
1
4
2
1
3
1
1
8
1
1
2
1
2
1
1
14
2
68
4
1
1
1
1
4
1
1
3
1
1
2
3
192
1
2
2
1
1
1
1
2
3
1
3
4
1
2
1
1
1
1
1
1
1
2
2
2
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
5
1
1
1
1
2
98
103
1
1096
2
1
1
16
189
68
2
27
30
5
2
1
1
4
1
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
5
1
1
2
3
2
1
18
3
1
1
205
217
1
1
1
2
1
3
3
1
1
1
1
1
1
3
1
1
2
2
1
2
14
1
6
1
1
3
1
1
2
1
3
5
1
1
2
1
1
3
2
1
1
2
2
1
2
1
1
1
1
1
1
1
7
2
1
1
5
4
1
1
1
2
1
1
1
8
8
3
5
1
2
1
1
2
1
1
1
1
9
1
1
1
1
1
3
1
1
5
1
2
1
1
1
2
1
1
3
2
1312
1270
40
1
2
5
1
3
2
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
2
78
2
10
13
1
1
23
1
1
1
1
2
1
1
1
2
1
1
212
519
7
2
1
1
1
3
4
26
1
1
1
1
1
3
1
1
1
2
1
2
1
1
8
1
1
1
4
8
2
13
3
1
1
1
2
3
2
1
8
2
1
2
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
7
1
1
2
1
2
2
1
1
1
5
1
2
1
1
1
1
1
1
1
1
3
1
1
6
3
4
2
1
2
1
4
1
1
22
14
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
2
7
1
1
2
1
3
1
2
1
164
1
1
1
1
7
1
16
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
2
3
1
2
4
2
1
4
2
3
1
2
1
2
1
1
1
2
1
2
3
1
1
1
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
7
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
2
1
1
2
1
1
1
488
271
26
1
1
1
2
1
1
1
1
3
1
1
1
2
1
1
3
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
4
4
1
1
1
1
1
1
2
22
1
1
5
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
4
33
1
2
1
1
2
1
2
1
5
5
3
1
1
3
3
1
22
3
2
1
1
1
2
1
1
1
1
3
1
1
1
5
1
8
1
2
2
1
1
1
2
1
2
1
1
1
1
4
1
1
1
1
1
1
1
3
1
2
2
1
2
1
1
1
3
1
2
1
1
1
2
2
1
1
1
1
1
1
1
16
2
3
11
2
1
1
1
1
20
1
1
2
2
13
1
1
1
4
5
1
1
1
2
1
1
2
2
2
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
2
2
1
1
1
29
2
2
1
1
1
1
13
3
2
1
2
1
1
1
2
3
2
1
1
1
1
3
1
1
1
1
1
4
1
1
1
1
1
1
1
1
2
1
2
1
1
7
1
1
3
3
1
46
1
2
4
1
3
1
1
1
1
1
1
1
2
1
1
29
4
2
2
1
33
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
57
5
3
1
798
230
1
1
1
4
1
1
1
1
1
47
1
1
1
1
1
2
2
1
1
1
1
4
2
1
1
2
2
1
1
1
1
3
1
1
1
18
5
7
1
6
1
13
24
431
579
5
2
1
1
1
208
1
1
1
1
4
2
1
2
1
6
4
1
4
1
1
1
1
1
2
3
1
1
8
1
1
2
1
2
2
2
1
1
1
1
1
1
1
4
1
1
1
2
10
1
1
2
3
2
3
1
1
2
7
1
2
120
51
1
1
1
1
1
1
1
1
4
1
1
4
1
1
1
36
139
11
2
1
2
2
1
3
3
1
2
1
2
2
1
1
10
2
2
1
3
4
1
1
2
3
1
1
1
1
1
3
3
1
2
1
2
1
1
1
1
1
1
1
8
128
172
5
1
1
4
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
195
138
87
8
1
5
1
1
94
1
1
1
1
99
31
2
9
1
1
1
464
1
1
1
3
1
2
1
1
1
2
4
2
1
1
1
5
1
7
3
3
2
2
1
1
2
2
1
2
1
1
19
1
1
1
1
393
970
13
3
2
2
1
1
14
2
1
1
1
1
1
1
2
2
2
1
1
2
1
1
2
4
1
1
1
10
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
3
1
1
1
1
4
6
1
1
1
1
1
56
1
1
1
1
1
1
2
3
1
2
2
1
1
3
4
2
4
2
4
1
4
2
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
2
2
1
1
1
7
12
1
1
1
2
1
1
1
1
5
5
1
1
1
1
3
1
2
1
1
2
1
1
3
4
1
1
2
2
1
1
1
2
2
1
20
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
1
1
2
1
1
1
3
2
2
2
1
1
1
1
1
1
17
1
1
1
1
4
2
1
1
3
1
1
1
4
2
1
1
1
2
2
1
1
1
1
2
1
1
1
1
2
1
8
2
6
2
1
2
1
2
1
1
4
3
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
1
1
3
3
1
1
4
1
1
1
2
3
6
1
1
1
1
12
1
1
2
1
3
1
1
1
1
182
1
2
1
2
1
1
1
10
1
1
4
1
1
1
10438
1
1
1
2
2
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
2
1
1
3
1
1
1
1
1
3
1
6
1
1
2
2
1
1
2
1
1
1
2
1
2
1
2
1
3
1
8
1
1
1
2
1
2
1
6
1
1
1
1
1
4
2
1
1
1
3
3
1
2
5
1
1
1
1
2
1
1
1
2
1
2
1
1
2
1
2
1
2
1
2
3
1
1
1
1
1
1
2
5
1
1
7
1
1
1
1
2
1
4
5
1
13
1
1
1
1
1
7
2
5
2
1
1
1
1
1
9
2
1
1
1
2
3
2
1
13
1
3
1
1
1
1
2
5
1
2
2
1
4
3
1
4
9
1
2
1
2
1
1
1
2
2
1
1
1
1
4
1
1
5
2
1
1
2
2
1
35
2
1
1
1
2
1
2
1
1
1
1
4
7
2
1
1
1
1
2
1
1
7
2
1
2
2
1
4
1
1
1
1
3
1
1
1
2
8
4
2
1
3
1
1
1
3
1
1
1
2
3
20
5
3
1
6
2
1
1
1
1
2
7
3
1
1
1
4
4
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
1
5
4
1
1
1
1
1
1
1
1
1
11
2
1
1
2
1
1
1
1
1
3
3
1
2
1
6
1
6
1
1
1
1
1
1
1
13
1
1
2
1
1
1
1
3
1
2
1
1
2
3
1
1
2
1
2
2
1
5
1
1
1
1
1
2
1
2
1
1
1
1
1
40
1
1
1
3
1
1
2
1
1
1
2
1
47
1
1
1
1
1
1
3
2
1
4
6
1
1
3
2
2
1
14
1
1
1
1
1
1
1
322
1
3
1
4
2
25
1
3
1
1
1
37
86
3
1
2
1
2
2
1
1
1
2
1
4
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
2
1
1
7
1
1
1
1
2
4
1
1
5
1
1
1
1
1
3
1
1
3
2
1
1
2
1
1
2
1
1
1
1
1
2
4
2
1
4
2
2
1
1
1
1
2
1
1
1
2
3
1
4
1
1
1
1
1
1
1
5
2
1
1
1
1
3
3
1
1
1
1
1
1
2
1
1
2
4
3
2
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
2
1
158
2
1
1
3
1
1
2
1
1
3
3
2
1
2
1
3
2
1
1
1
6
1
1
1
4
2
1
1
2
1
1
14
2
3
59
2
2
1
2
1
1
1
6
1
3
1
1
1
1
1
1
1
74
2
8
1
8
1
1
2
1
2
1
6
3
1
1
5
1
10
1
13
1
1
2
1
1
1
1
1
1
17
3
4
4
3
2
1
1
4
1
1
1
1
1
14258
1
1
3
2
1
2
2
22
22
1
1
1
1
1
2
1
2
1
68
1
1
4
3
1
2
1
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
2
1
1
1
1
425
1
1
1
1
4
1
1
2
1
1
1
2
5
5
1
1
2
1
1
2
1
1
1
2
2
1
1
1
3
1
1
1
11
1
2
1
9
1
1
1
1
2
2
3
4
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
1
31
3
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
2
10
1
1
5
1
1
2
4
1
7
1
1
1
204
1
2
2
1
1
3
3
3
1
1
1
8
6
1
10
1
3
1
2
4
1
1
6
2
1
1
1
1
1
1
4
1
2
1
2
1
8
1
1
4
1
4
1
1
1
1
1
3
10
1
1
1
1
1
1
1
3
2
2
1
1
1
2
1
1
1
1
2
2
3
3
2
1
1
17
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
15
1
1
2
1
4
1
2
1
1
1
1
1
2
16
1
1
1
3
1
1
1
1
1
1
1
5
1
1
1
2
2
205
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
4
11
11
1
3
3
1
1
2
13
1
2
1
2
1
2
1
1
1
1
86
4
1
1
5
1
4
1
3
5
1
2
1
1
2
1
2
1
2
3
1
1
2
1
1
1
2
1
1
1
2
8
5
20
1
1
1
1
1
1
2
2
2
1
1
1
1
2
1
1
1
1
7
1
1
2
3
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
3
1
1
1
1
1
3
1
2
2
1
2
4
1
1
1
77
1
3
2
6
1
1
1
1
1
229
191
1
1
1
5
2
2
1
2
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
8
1
1
1
2
1
1
1
1
1
2
1
8
1
1
2
1
1
3
1
1
1
1
1
2
1
1
209
1
1
1
2
2
1
1
3
1
13
1
2
1
1
1
2
1
2
2
12
34
1
1
1
1
1
1
3
1
1
3
1
1
2
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
1
1
73
3
10
4
1
1
2
1
1
1
2
2
2
1
20
3
1
1
1
1
3
1
2
3
1
8
1
2
3
2
1
1
8
2
2
1
1
1
5
1
1
1
1
5
2
1
2
1
3
1
2
1
1
2
3
5
1
1
2
1
1
1
1
1
4
1
9
1
1
1
2
1
3
2
1
1
1
1
1
1
1
2
2
1
1
18
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
4
2
2
1
1
1
1
1
1
1
1
1
2
1
2
2
1
2
1
1
3
3
1
2
2
4
1
1
1
2
1
4
1
1
1
1
1
6
3
1
1
9
1
1
1
1
1
1
1
2
1
1
1
2
3
1
1
1
2
2
6
1
9
2
94
7
1
2
1
1
1
1
1
12
2
1
4
1
2
2
1
13
3
1
1
1
1
1
1
2
1
1
4
4
1
4
2
1
2
1
1
2
2
1
2
1
2
3
5
1
1
7
1
1
2
3
2
2
1
1
1
1
1
7
1
1
2
1
2
11
7
2
1
1
1
1
1
1
3
2
2
1
1
1
16
1
2
2
2
2
1
1
1
2
24
2
1
1
3
2
2
1
5
1
2
1
3
1
1
2
4
1
1
3
1
3
1
1
1
1
1
2
22
2
2
2
1
2
1
1
1
2
1
7
1
5
1
2
1
1
7
20
2
5
1
1
2
1
1
2
1
1
1
1
5
1
1
1
1
3
1
16
1
1
2
4
1
1
1
1
1
11
3
1
1
1
1
4
6
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
4
2
2
1
3
1
5
2
15
3
1
1
1
3
1
1
3
1
1
1
2
2
1
1
3
2
4
37
13
1
1
1
1
1
1
1
1
3
3
1
1
2
1
1
1
1
1
1
1
3
3
1
1
1
3
1
1
3
4
1
2
1
2
3
1
10
1
1
2
3
1
3
1
1
1
2
3
1
3
1
1
10
3
1
1
1
1
1
2
5
2
2
1
1
1
7
1
4
3
1
1
1
1
1
3
1
15
1
3
1
2
1
1
1
1
1
1
1
2
6
1
1
2
1
1
2
1
1
4
1
1
1
1
2
1
1
5
4
1
2
1
2
1
1
34
1
1
2
3
3
1
1
1
1
5
1
1
2
1
6
4
1
1
1
1
1
3
1
2
9
11
2
6
5
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
1
2
2
1
6
1
1
1
1
8
3
1
1
3
2
1
3
8
1
5
1
2
1
4
2
1
1
1
1
1
1
1
1
1
1
2
1
38
10
3
1
1
3
1
2
1
1
1
2
2
1
3
1
1
2
1
1
1
1
2
3
1
8
1
1
1
1
1
1
1
1
1
1
1
9
1
1
2
2
1
1
1
1
5
1
1
1
2
1
1
1
1
1
280
648
7
2
1
3
1
17
1
1
1
1
1
1
2
1
3
1
2
9
56
30
29
33
293
34
46
9
67
40
1
46
7
5
3
2
1
1
1
2
7
1
2
3
2
1
4
1
2
1
1
1
1
1
4
1
1
1
2
2
4
1
1
2
1
2
2
1
3
3
2
1
1
1
1
1
4
1
1
1
1
6
1
2
2
1
2
1
1
1
1
1
1
1
2
3
2
1
1
1
2
2
1
1
4
3
1
1
1
1
1
3
1
2
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
2
1
3
1
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
2
3
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
5
1
4
2
1
1
3
1
1
2
2
1
2
1
1
2
1
1
1
3
1
2
1
1
1
1
1
1
2
1
2
3
1
5
3
3
1
6
1
1
1
1
2
3
1
1
1
1
1
1
5
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
3
4
1
1
1
2
1
1
2
1
2
1
1
2
1
2
1
2
1
1
1
3
1
1
1
1
1
1
1
1
3
4
1
1
1
1
2
2
5
6
1
2
5
1
1
2
2
2
1
4
4
1
1
1
4
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
2
3
1
1
1
1
2
1
1
1
1
7
1
3
1
1
1
1
1
1
2
1
2
2
2
1
1
3
1
2
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
6
1
3
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
3
1
1
1
1
1
1
1
7
2
1
1
1
1
6
1
1
1
2
1
2
1
4
1
2
1
1
2
1
3
1
2
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
4
2
1
1
1
2
2
1
2
2
3
1
1
1
8
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
2
3
1
1
1
1
3
1
1
1
1
1
1
1
6
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
1
1
2
1
1
4
1
1
1
1
2
1
1
1
2
1
1
1
1
1
3
3
2
1
1
1
1
2
1
1
2
1
1
1
2
1
8
4
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
3
1
1
3
1
1
1
2
3
2
1
1
3
2
1
1
2
1
2
7
1
1
1
1
3
1
1
4
1
1
1
1
2
2
2
2
1
1
1
2
1
1
1
1
1
2
1
2
1
1
1
1
3
2
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
3
1
1
4
1
2
1
1
1
4
1
1
1
1
1
2
1
1
2
2
1
2
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
2
1
2
1
1
1
1
1
3
5
1
1
1
1
2
2
2
2
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
2
1
1
1
1
1
1
1
2
1
2
1
1
1
4
1
2
1
1
1
2
1
1
1
1
2
2
2
1
2
2
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
2
1
1
1
1
211
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
1
1
1
1
2
1
1
1
2
1
1
3
1
1
1
5
1
1
2
2
1
1
1
2
1
1
1
1
1
1
2
2
1
1
3
1
2
1
1
2
1
1
1
2
1
2
1
2
1
1
1
1
1
1
1
2
1
1
8
3
1
2
1
58
155
2
1
2
5
1
1
2
1
1
1
2
1
1
4
1
2
1
1
1
1
1
1
2
2
7
1
1
1
1
1
2
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
6
2
1
1
1
1
1
17
3
1
1
2
2
4
3
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
1
2
1
1
2
1
1
1
1
1
1
1
21
2
3
1
2
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
364
343
5
231
1
1
1
1
1
2
1
1279
1
4
1
1
1
1
2
1
248
1
1
2
1
1
2
3
2
4
5
1
2
6
1
1
2
1
1
4
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
2
1
3
1
1
1
1
2
2
67
18
11
1
1
6
1
1
2
4
2
2
2
1
1
1
2
2
9
1
3
1
6
2
1
3
1
4
1
4
2
2
2
1
1
1
1
174
75
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
3
2
1
3
3
2
1
1
3
5
1
3
1
1
1
1
1
1
5
2
1
1
1
1
1
1
1
1
2
7
4
2
6
25
1
1
1
1
6
1
4
1
2
3
1
1
1
3
4
1
1
1
1
1
1
1
5
2
1
1
1
5
1
1
1
2
1
6
1
2
26
1
1
1
1
1
3
1
1
1
2
2
1
1
1
1
13
1
1
1
2
20
1
1
1
1
2
1
3
7
1
1
7
7
2
1
1
1
3
1
38
1
1
4
6
3
1
3
1
1
2
2
5
10
1
2
3
6
1
1
1
6
1
1
1
1
2
4
5
2
1
1
2
1
1
1
1
1
2
3
4
1
2
1
1
2
3
1
1
1
4
1
2
3
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
2
1
1
2
1
24
1
1
1
2
2
2
1
1
1
2
3
2
3
2
1
1
1
1
1
1
1
3
1
1
1
1
1
2
1
1
4
1
1
1
1
1
8
4
3
1
1
1
1
2
2
1
1
2
1
3
1
1
1
30
1
3
1
1
1
1
2
1
5
2
4
3
2
1
3
1
1
1
1
2
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
19
4
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
3
1
2
3
1
1
3
3
1
2
1
1
2
1
1
1
34
1
1
2
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
8
3
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
1
2
1
2
3
2
2
1
1
1
1
17
3
2
1
1
1
2
1
2
1
6
1
2
2
6
3
1
1
2
1
2
3
70
4
2
1
1
1
2
1
1
2
4
1
1
1
1
1
1
13
4
12
1
1
2
1
10
1
2
2
2
3
1
1
3
1
1
5
1
1
1
1
1
1
7
1
3
134
2
1
3
1
2
2
1
1
1
2
1
2
3
1
1
2
6
2
2
1
1
1
3
10
9
1
7
1
3
2
1
2
1
5
2
3
2
4
3
1
1
2
1
24
1
15
1
5
5
1
1
2
3
1
2
2
3
2
1
2
1
80
1
1
7
2
1
45
21
1
1
2
2
6
5
1
2
1
1
2
25
1
1
4
1
6
1
1
4
1
4
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
1
1
2
1
2
2
1
1
1
1
13
1
1
15
2
2
1
1
1
1
1
5
9
2
88
91
1072
4
2
2
1
1
2
1332
906
7
1
1
2
1
2
65
44
1
1
1
2
4
1
1
1
3
1
1
2
3
4
1
2
1
2
1
1
1
2
4
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
4
5
3
1
1
1
4
2
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
3
1
1
1
2
2
1
3
138
8
1
7
1
1
1
2
1
3
3
2
1
12
1
1
2
1
1
1
1
1
1
1
1
1
2
7
1
3
1
2
1
2
2
2
8
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
3
1
3
1
1
1
1
1
1
1
2
4
1
13
4
2
1
2
2
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
4
85
2
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
2
1
1
1
1
1
3
1
2
1
1
1
74
1
4
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
3
4
1
26
1
1
1
1
1
2
4
1
1
22
1
1
1
1
1
1
2
2
1
1
3
1
2
1
1
4
1
3
1
2
1
1
3
1
3
1
1
1
1
10
2
1
1
8
1
1
8
2
1
1
6
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
3
2
1
1
2
1
1
3
1
1
1
39
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
2
1
8
2
3
2
1
3
1
1
1
1
1
1
1
3
7
2
2
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
1
1
3
4
2
1
1
4
1
1
1
1
3
1
1
1
1
2
1
1
7
1
1
2
1
1
1
1
1
11
1
1
1
1
1
2
1
21
1
1
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
3
4
2
2
2
2
1
1
1
3
1
1
1
1
2
1
1
1
3
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
5
1
1
1
3
1
1
6
1
2
3
1
1
3
4
3
1
1
4
1
1
2
1
1
1
2
5
1
2
1
1
1
5
1
1
2
2
2
1
1
1
1
1
2
3
3
1
3
1
1
1
2
1
1
1
1
1
5
2
1
1
1
4
2
1
5
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
3
3
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
5
1
2
2
2
1
2
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
1
1
6
1
1
1
1
1
1
1
1
1
3
2
1
1
3
1
3
1
2
9
1
1
1
6
6
1
9
4
1
1
1
5
1
2
2
1
22
4
2
2
1
1
1
3
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
14
2
1
3
1
4
1
2
1
1
1
2
1
2
1
1
4
1
2
1
1
1
2
1
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
2
6
1
22
1
1
4
1
1
1
2
1
1
1
1
5
3
2
2
1
3
1
1
1
3
3
2
1
1
3
3
9
1
1
1
5
5
1
1
1
1
2
1
1
1
1
1
2
2
5
1
1
3
2
2
1
3
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
4
1
51
2
2
2
2
13
1
15
31
1699
2
1
3
1
1
2
1
1
3
1
1
1
3
1
1
1
1
3
2
1
2
2
2
1
2
1
1
1
1
1
1
2
3
1
2
1
2
4
1
1
1
2
1
4
2
3
1
1
1
1
1
1
1
1
68
6
2
1
1
1
5
1
20
1
2
6
1
2
3
1
1
2
1
1
1
1
24
1
1
2
3
2
1
19
3
2
2
3
1
1
1
1
1
37
4
1
1
1
57
1
1
1
3
733
2
2
12
1
3
1
10
42
21
2
1
1
4
2
1
2
1
2
1
1
1
2
1
1
3
3
1
1
1
6
1
1
1
2
159
2
1
7
1
3
1
9
2
1
1
1
9
8
1
1
3
1
1
1
2
1
3
2
2
2
2
6
1
19
2
1
2
1
4
1
1
1
1
1
2
1
1
3
10
2
1
1
184
193
1
1
1
1
2
19
1
1
2
1
2
2
1
2
3
1
3
1
3
1
1
1
4
1
1
1
1
1
1
1
1
1
3
1
1
1
3
1
1
1
1
1
1
1
2
4
3
2
1
1
1
2
1
1
2
1
1
1
1
3
1
1
2
1
1
2
1
1
8
1
2
1
1
2
2
1
14
1
1
1
1
2
1
1
2
5
1
1
1
1
1
1
1
1
1
1
1
1
1
9
1
3
1
1
1
1
9
1
3
1
5
1
4
1
1
1
1
2
1
2
1
1
2
2
1
1
1
10
1
1
1
1
1
4
4
17
1
1
1
6
2
2
2
1
1
1
1
6
1
1
1
1
1
1
1
3
1
3
2
3
21
2
3
1
9
2
2
2
1
4
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
5
1
2
3
1
16
1
1
5
11
2
1
5
4
1
1
1
1
1
1
2
1
3
1
2
1
8
9
1
1
1
1
9
2
2
3
1
1
3
9
3
1
1
1
3
1
2
1
1
2
1
2
1
1
1
4
1
1
8
2
15
2
1
1
2
1
4
4
2
1
6
2
1
2
1
152
1
1
7
1
2
6
1
1
1
1
1
5
2
1
83
2
3
3
2
10
3
1
1
63
1
4
1
5
1
1
2
1
1
1
1
1
4
1
1
2
1
1
15
6
1
4
1
1
2
3
4
3
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
2
4
1
1
1
1
1
5
2
2
1
26
1
20
1
1
1
1
4
3
2
1
1
1
8
1
1
1
2
1
1
1
1
2
1
1
1
1
1
3
1
4
3
1
1
2
4
1
1
2
12
2
8
1
1
1
1
1
2
2
495
1
1
1
1
1
1
1
1
1
2
1
2
1
1
16
1
1
1
3
3
1
5
2
1
1
2
3
2
1
1
6
1
1
1
1
2
1
1
22
1
1
1
2
1
2
2
4
1
24
7
1
1
1
1
1
4
3
2
4
1
2
2
3
1
1
8
4
1
1
1
3
1
1
2
2
3
1
2
1
1
1
2
1
1
1
1
3
1
1
1
1
1
2
2
8
2
4