1
36
15
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
5
1
1
1
1
1
1
1
1
1
2
2
3
2
1
1
1
7
6
1
1
1
1
2
1
1
2
1
1
1
1
1
4
10
1
1
3
1
2
3
6
2
1
1
1
1
1
1
10
3
2
3
1
1
8
1
2
1
1
5
1
4
1
1
1
1
1
1
133
1
1
8
1
1
1
2
3
1
1
1
1
1
1
1
6
1
1
1
6
4
3
1
1
69
3
21
2
8
2
1
3
28
1
4
2
1
1
1
1
1
10
1
1
1
1
3
1
1
1
3
1
1
1
2
1
1
1
1
5
1
1
2
1
8
3
3
14
1
1
1
4
34
3
1
1
3
1
4
1
1
3
3
2
1
2
1
9
2
1
5
4
2
2
4
1
1
1
1
1
3
5
1
29
90
2
4
3
1
1
1
3
6
1
1
3
1
4
1
17
1
1
1
2
20
1
1
1
1
1
1
3
1
1
2
1
1
1
3
3
1
5
1
1
4
1
1
1
1
1
1
6
2
1
2
3
1
6
1
1
1
4
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
5
7
1
1
2
1
1
1
2
1
1
1
1
2
1
3
1
1
1
2
1
1
1
2
1
1
153
1
2
1
1
3
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
21
8
88
1
1
7
8
1
1
1
1
1
1
3
1
7
1
5
2
4
1
1
1
1
1
1
5
1
2
1
1
1
1
3
1
1
1
1
1
316
171
4
1
1
1
1
2
1
2
1
1
2
1
2
1
1
23
1
4
1
3
2
1
1
4
4
1
1
1
1
82
1
1
1
5
1
25
35
41
1
1
4
1
1
12
1
2
2
1
1
6
1
1
1
1
1
32
2
1
2
1
27
1
1
2
7
1
8
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
29
1
1
1
10
1
359
1
4
1
1
1
3
2
1
1
2
3
2
1
2
1
1
1
2
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
5
44
5
2
1
1
1
1
1
1
4
1
243
756
2
40
1
1
1
8
1
1
2
5
1
2
3
1
1
7
1
5
1
1
3
76
1
3
1
1
1
3
1
3
1
2
1
6
2
1
1
3
1
6
1
2
2
2
1
1
3
1
2
3
1
10
1
2
1
2
12
1
13
6
1
1
1
1
1
1
3
1
37
1
1
1
2
7
1
2
1
1
2
2
1
1
1
1
1
1
1
4
1
1
1
1
2
2
4
2
1
1
2
1
10
2
13
4
1
1
1
2
1
1
1
1
1
3
1
7
3
1
1
4
1
1
1
1
1
2
13
5
8
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
4
1
1
3
1
1
2
6
1
2
1
1
1
2
1
1
1
1
2
1
3
1
2
1
21
1
1
2
17
3
2
1
45
1
1
1
1
1
1
1
1
3
1
24
29
3
2
1
1
2
1
1
1
7
1
1
1
2
1
3
1
1
2
153
49
48
2
1
1
1
1
1
2
2
1
11
3
2
1
1
3
1
2
1
1
1
4
2
3
2
1
5
1
1
1
4
4
1
1
1
2
1
1
1
1
1
1
4
4
6
1
2
2
3
1
2
6
1
1
1
2
1
1
2
1
1
2
1
2
2
2
2
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
10
2
3
3
3
1
2
1
7
1
1
1
2
2
2
1
2
1
1
1
1
58
116
63
87
18
7
1
12
1
1
2
2
1
1
1
1
6
1
1
1
1
2
1
2
2
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
12
1
1
1
1
1
6
1
1
1
1
1
1
1
156
502
641
1
1
2
1
3
1
1
1
1
3
4
3
4
2
1
1
1
1
2
1
1
3
1
1
8
540
564
121
2
17
2
2
2
1
2
1
1
1
1
1
1
1
1
2
1
1
3
2
2
1
1
5
1
1
1
1
1
2
1
1
1
2
1
2
1
1
3
1
1
2
1
4
7
1
1
1
19
1
1
1
1
2
1
3
2
1
1
1
1
2
13
1
1
1
2
2
66
25
11
1
3
3
5
4
2
1
1
1
2
1
1
7
1
3
2
1
1
2
1
1
1
1
3
1
37
1
4
9
1
1
2
1
1
1
1
1
2
1
1
1
1
13
25
1
1
1
1
1
10
1
1
1
6
3
3
3
2
1
1
1
1
1
1
1
3
1
1
1
5
1
2
1
1
1
1
2
16
1
1
1
2
1
1
1
5
2
1
1
3
1
13
1
1
5
1
1
26
1
1
1
1
1
1
1
1
1
1
4
3
1
1
5
1
1
8
1
1
1
1
1
1
21
1
1
1
1
1
1
2
4
1
7
2
1
5
1
1
1
1
5
1
1
1
2
1
1
18
5
8
1
4
3
47
1
1
1
1
1
3
1
1
1
5
2
1
1
1
3
1
23
1
24
1
1
1
7
8
5
2
1
2
1
6
15
1
9
2
24
1
1
2
1
1
2
20
2
1
1
1
1
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
2
6
1
1
1
1
1
2
2
1
1
1
2
1
1
2
8
3
1
2
1
1
1
14
1
1
1
1
1
1
4
3
10
1
3
1
23
12
1
1
1
1
1
1
1
2
1
56
1
5
2
4
14
4
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
67
4
1
3
1
8
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
5
1
2
8
4
1
1
508
519
1
260
3
44
1
1
1
10
1
1
2
40
3
1
1
9
2
1
1
77
86
16
1
1
30
2
2
1
1
1
1
1
1
1
1
6
1
188
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
2
3
3
1
2
5
3
3
568
785
318
3
18
3
1
1
1
2
1
2
6
1
3
1
1
3
3
1
1
1
4
1
5
14
2
1
5
1
1
2
155
148
39
1
6
1
1
1
19
3
1
1
1
1
3
3
5
1
2
1
1
1
1
21
1
74
21
1
1
1
1
1
1
1
15
2
164
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
1
1
15
1
1
86
83
1
1063
2
1
2
17
215
15
27
33
1
1
1
1
1
1
1
2
1
1
1
1
4
2
1
16
1
2
1
1
175
179
50
2
5
1
1
1
2
1
1
1
1
8
1
1
2
1
1
1
6
3
1
1
4
5
1
2
1
10
11
3
2
5
10
2
8
3
1
1
1
1
1
2
33
1119
1055
605
1
2
1
1
1
1
7
2
8
1
1
1
1
1
1
1
2
1
3
1
1
2
8
1
3
3
2
1
1
9
1
1
1
429
168
58
1
12
1
2
1
1
1
1
2
2
7
1
1
176
16
1
1
1
1
1
1
1
1
1
16
1
3
1
1
1
1
1
2
23
1
17
1
1
1
1
1
1
2
3
1
1
1
7
1
1
1
1
1
143
1
1
1
14
3
14
2
1
1
1
1
1
1
1
1
4
29
2
3
1
1
2
2
1
1
2
1
3
2
1
1
4
1
1
2
1
2
1
1
12
1
7
2
1
1
6
1
1
2
3
3
1
1
2
2
407
237
186
1
1
5
2
1
1
1
1
2
1
1
1
1
7
1
1
1
1
1
1
1
1
4
5
2
1
20
5
1
1
1
1
2
1
13
6
11
1
1
1
1
4
2
2
1
2
1
1
21
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
17
1
1
1
1
16
1
1
4
1
57
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
26
1
1
2
14
1
1
1
1
1
1
1
1
1
7
1
1
6
44
1
4
4
1
1
1
2
1
2
1
1
24
29
1
1
1
1
1
3
1
1
1
1
48
4
2
656
196
1
4
3
1
2
1
1
1
1
1
1
4
1
4
1
2
1
1
2
2
1
2
25
352
485
4
1
2
206
2
1
1
2
1
2
1
1
1
1
1
1
1
10
2
1
2
1
4
1
1
1
1
3
3
7
4
11
2
1
2
1
1
1
1
1
25
122
806
2
1
1
1
3
1
29
122
53
12
76
1
1
1
1
1
1
2
1
10
1
2
15
422
1
2
2
1
3
1
2
1
1
1
8
1
1
1
1
1
142
107
1013
2
5
3
118
3
1
1
1
1
1
1
1
2
1
1
6
1
1
3
5
1
1
156
104
89
6
2
5
1
1
1
1
34
71
1
1
3
1
87
26
100
1
1
2
1
2
7
1
397
1
1
1
1
1
2
8
2
1
3
11
3
2
2
1
1
1
1
1
336
789
115
1
2
1
6
1
1
2
1
1
1
1
1
8
1
1
2
3
1
1
2
1
1
1
1
1
1
5
1
1
1
1
39
2
1
1
2
2
3
1
5
1
1
1
1
2
3
1
1
2
1
2
1
1
1
2
1
1
1
1
8
2
1
1
1
1
1
2
1
1
2
1
1
4
1
1
2
1
3
1
2
1
1
1
3
5
1
1
1
14
4
3
3
1
1
2
2
3
1
1
1
1
3
1
1
1
1
4
4
1
1
1
1
13
1
1
208
1
10
1
1
2
957
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
8
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
3
1
3
3
5
4
1
2
7
1
1
3
1
1
1
1
1
9
6
4
1
6
1
3
1
2
3
44
2
2
11
1
1
2
5
1
1
1
1
2
2
1
3
3
1
4
1
3
1
3
2
5
1
22
1
4
4
29
1
1
1
4
1
1
1
2
5
1
2
1
1
2
2
1
1
2
8
1
1
1
2
4
7
1
1
2
1
1
2
2
1
4
2
3
1
1
1
1
1
1
7
1
2
2
2
1
1
2
2
1
1
1
1
1
48
1
1
1
2
1
1
2
2
1
11
2
7
2
1
1
1
14
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
10
2
2
1
2
1
3
9
1
3
1
1
3
1
36
1
1
1
2
1
1
1
1
4
6
1
1
1
5
8
2
1
2
1
1
1
3
1
1
272
1
1
3
25
1
18
1
1
2
32
69
12
2
13
1
1
1
1
4
3
1
2
3
2
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
1
1
2
1
1
1
2
1
1
5
12
2
1
1
2
1
1
1
1
4
3
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
181
1
1
1
1
2
3
1
1
1
1
4
1
1
1
6
1
2
1
2
2
3
1
1
1
79
1
1
4
1
1
1
1
1
3
1
1
10
2
1
1
1
2
1
1
1
1
22
3
1
3
3
1
2
1
1
1
1
1
5037
2
2
2
6
1
1
1
2
1
23
20
10
1
3
11
7
1
1
1
2
1
1
1
1
6
8
1
1
1
1
1
359
167
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
1
1
5
1
5
1
1
1
1
1
1
1
26
1
1
1
1
1
30
1
2
2
2
1
1
2
10
9
1
1
3
1
176
2
1
1
2
1
5
1
2
1
1
2
3
8
1
1
1
2
2
2
1
4
4
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
22
1
1
1
1
1
1
4
2
1
3
1
1
1
1
3
3
47
3
2
1
1
1
1
1
3
1
1
2
1
1
1
1
4
1
1
1
1
1
6
3
1
2
1
1
1
1
1
3
1
7
1
2
86
1
1
1
1
2
1
3
1
1
1
1
1
1
5
4
2
7
1
2
1
1
14
1
2
4
4
21
1
2
1
1
1
2
1
2
5
2
3
1
2
13
2
1
1
1
2
1
1
2
1
4
1
5
1
6
1
2
1
1
20
1
1
2
77
9
5
197
163
1
13
1
1
6
3
1
1
1
25
1
2
1
1
1
1
1
1
1
2
3
1
1
28
1
1
1
3
1
17
1
1
1
28
2
1
1
4
1
1
1
1
1
1
2
774
1
6
1
1
1
1
1
1
1
74
2
2
5
2
1
1
1
1
26
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
3
3
1
1
1
1
1
2
1
1
5
1
15
1
1
1
2
1
1
1
1
1
2
1
1
1
5
2
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
1
1
1
1
5
2
3
1
9
1
1
1
2
4
11
5
80
7
1
1
2
10
1
1
1
10
1
1
1
1
6
2
1
1
1
4
1
2
1
1
4
1
3
9
1
1
1
1
1
1
3
3
1
3
1
9
14
1
2
1
1
1
1
1
1
1
63
19
2
1
1
1
1
1
1
1
2
1
7
1
1
1
17
1
1
1
1
2
1
1
17
1
2
1
1
1
6
7
4
1
7
1
9
1
1
2
2
1
7
2
2
10
2
3
2
5
1
1
1
2
3
1
1
3
4
1
2
1
2
15
3
3
1
1
1
2
2
1
4
3
2
3
39
10
2
1
1
2
1
3
1
1
1
1
1
2
1
1
1
8
1
1
1
1
5
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
5
1
1
1
1
2
2
1
29
6
1
1
7
1
1
1
2
1
9
5
1
1
1
2
2
2
1
4
13
1
2
1
3
1
1
1
1
1
1
1
4
1
2
2
6
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
4
1
32
11
2
1
1
1
3
1
2
4
140
1
1
1
1
1
3
2
2
1
4
1
1
1
3
1
1
4
3
1
1
1
1
228
528
7
10
4
1
1
2
1
10
47
22
36
1
2
2
40
25
20
19
9
67
30
1
1
3
1
4
1
1
1
1
1
1
1
2
1
5
4
1
1
1
1
1
3
1
1
1
1
2
1
3
3
5
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
2
1
1
3
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
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
3
1
1
1
4
1
1
2
2
3
8
1
1
1
1
2
1
2
1
1
1
5
1
1
1
1
1
4
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
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
83
1
1
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
58
12
155
1
2
2
1
1
143
2
1
1
1
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
2
1
1
2
4
9
1
1
6
1
1
1
1
1
3
18
1
1
1
1
1
1
2
2
8
4
1
2
1
1
1
1
266
303
47
1
202
1
9
2
1
467
1
1
2
6
221
1
4
1
1
1
4
1
6
1
1
1
2
4
1
1
1
3
1
1
1
1
1
1
2
2
12
1
11
4
3
3
1
1
2
1
12
1
1
3
1
2
2
3
1
1
137
63
6
1
1
1
2
1
2
1
1
1
1
2
1
1
1
2
1
1
5
1
1
1
1
1
1
1
1
1
20
1
8
1
2
1
1
4
1
1
2
1
1
1
1
1
27
1
1
1
1
3
4
1
5
1
1
2
21
1
6
1
1
1
1
1
1
1
1
5
38
1
24
7
2
1
1
1
1
1
5
11
2
1
3
1
3
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
76
1
1
1
1
2
1
1
13
1
1
3
1
1
1
1
1
1
18
9
8
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
2
3
24
1
1
1
2
1
1
1
3
3
1
11
4
1
3
1
1
3
2
1
1
1
1
1
1
4
5
3
1
1
1
27
5
1
4
2
1
8
109
1
1
2
1
1
1
1
1
1
1
1
2
1
1
3
4
1
1
3
1
1
1
1
5
2
1
1
1
1
1
4
1
1
68
2
1
1
1
4
1
1
1
3
1
1
1
1
2
5
1
1
11
2
4
2
1
1
1
1
1
4
29
1
1
1
1
1
3
1
2
1
2
1
10
1
10
20
10
1
1
2
2
1
9
1
1
1
2
1
6
1
1
24
1
11
1
6
3
20
1
1
1
3
29
3
2
18
21
1
3
1
1
3
1
1
31
4
6
1
2
1
20
3
1
4
1
1
1
1
2
4
1
1
1
27
1
2
1
1
1
1
1
14
1
1
2
2
16
6
80
71
38
1
3
1
2
1
1
1120
756
228
1
1
1
2
1
61
31
8
1
4
2
1
1
2
7
1
3
1
1
1
8
2
2
1
12
1
1
2
1
1
1
3
1
6
1
2
13
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
4
1
2
2
4
1
1
2
1
1
1
2
1
1
3
2
1
1
1
10
2
1
4
34
2
1
16
1
3
1
9
1
1
2
7
1
1
1
1
1
1
1
2
1
4
101
1
4
1
1
13
2
4
3
4
2
1
1
1
1
1
6
3
1
5
2
6
1
2
1
1
1
2
1
6
3
1
1
25
1
1
1
1
3
22
1
1
1
3
1
3
2
2
1
1
1
1
1
1
2
1
1
1
13
2
1
1
3
2
1
1
1
5
1
1
2
7
2
2
2
1
1
7
1
1
1
1
1
1
5
2
2
4
3
1
1
1
1
1
1
1
1
2
1
1
4
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
1
7
1
1
2
1
2
1
2
1
5
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
3
1
1
1
2
2
3
1
1
1
2
2
1
1
6
1
1
9
5
2
1
1
1
1
1
1
1
1
1
1
2
4
4
5
1
1
1
2
1
2
1
1
1
2
1
1
2
1
2
1
4
1
1
1
1
24
2
1
1
2
2
4
1
1
1
2
1
1
6
1
1
1
2
1
2
1
1
22
4
1
1
1
1
2
1
2
1
3
1
1
4
1
2
1
1
1
1
1
1
1
1
2
4
3
1
2
1
1
4
3
1
3
2
1
1
1
1
1
1
1
2
6
1
1
1
1
1
2
1
1
1
1
1
1
3
15
1
3
1
1
3
3
2
1
1
1
1
5
1
3
1
1
1
1
3
37
1
1
13
1
15
23
4
1
1
1
1
1
1
5
3
1
1
1
1
2
1
1
1
1
1
1
1
1
1
68
1
3
2
6
1
7
1
2
1
1
2
1
1
1
21
1
3
1
9
5
1
1
1
1
34
1
1
10
1
1
638
9
2
1
1
2
1
8
30
19
1
3
1
1
2
1
4
2
172
4
1
11
1
2
1
12
3
1
2
1
5
8
1
5
1
1
19
1
2
1
1
4
1
2
158
158
1
1
1
1
1
1
18
1
2
1
4
2
4
1
4
3
3
1
1
7
3
2
1
1
2
1
1
1
1
2
1
3
1
1
1
4
1
3
1
1
1
1
1
4
1
1
1
1
1
2
1
6
1
1
3
2
1
2
1
16
2
1
5
2
1
1
1
1
1
2
1
1
5
1
1
3
12
1
1
1
2
1
1
1
4
1
2
19
8
5
1
3
18
1
1
1
1
4
4
1
2
1
2
1
1
1
1
7
2
1
13
1
1
3
8
1
1
1
1
3
3
1
4
2
1
1
1
1
1
6
1
5
1
16
3
1
2
4
2
5
1
1
6
3
1
1
1
1
1
1
2
1
1
4
3
1
1
1
1
2
3
7
1
5
2
1
1
1
1
1
1
1
41
1
3
2
66
2
2
2
2
1
1
59
6
3
1
1
1
1
1
1
2
16
6
2
1
1
2
4
5
2
1
1
61
1
1
1
1
1
1
1
1
3
16
1
13
1
2
1
1
3
1
1
1
1
1
2
2
1
2
1
1
3
1
3
3
1
17
1
1
1
1
1
1
2
1
127
1
1
4
6
1
1
1
6
343
4
1
1
1
3
1
2
5
1
1
1
3
1
1
1
1
1
1
3
1
2
1
1
1
1
2
2
1
1
2
2
1
1
7
3
1
1
2
1
1
1
46
2
1
1
1
1
1
1
1
1
1
2