1
1
1
1
1
1
8
1
2
1
1
1
4
1
2
1
1
1
3
1
2
1
1
1
1
1
9
1
1
1
1
1
1
1
2
1
1
8
2
2
1
2
1
1
2
1
1
1
3
10
1
1
2
4
1
1
6
1
3
1
2
1
1
1
131
2
1
1
1
1
3
1
1
1
12
2
49
1
2
1
3
1
1
1
1
2
33
1
1
1
1
11
2
1
1
3
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
4
1
1
1
2
1
1
9
66
3
4
2
1
4
53
2
6
7
1
1
2
1
1
1
1
1
2
1
3
18
3
1
4
29
105
1
4
3
1
1
1
1
4
1
1
1
45
1
1
1
1
1
1
1
6
1
2
1
17
1
1
35
1
1
23
6
1
11
1
4
1
1
8
1
2
1
6
6
1
2
1
1
2
1
1
1
1
1
1
1
1
1
3
1
1
3
1
1
2
1
14
1
5
1
2
1
21
3
2
1
1
1
1
1
1
2
1
1
1
1
7
1
2
3
1
4
1
5
1
55
1
1
6
5
1
1
2
4
1
1
1
197
2
1048
1
5
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
123
1
1
1
60
1
1
1
1
1
2
1
4
1
4
4
1
1
1
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
2
430
220
3
1
4
1
1
1
1
1
1
2
1
1
1
4
1
1
33
5
1
1
1
4
1
2
6
2
1
1
1
1
1
2
3
92
1
1
6
1
14
22
1
8
1
13
2
1
2
1
1
4
5
5
1
1
1
2
1
2
1
15
9
1
3
3
1
1
1
1
2
1
1
2
1
1
4
1
1
4
1
11
1
1
1
1
1
3
3
6
8
2
1
5
637
2
1
1
2
380
1
1
1
5
1
2
3
1
1
1
1
3
1
1
2
1
8
276
2
1
1
1
1
4
3
1
1
1
1
1
1
1
1
14
1
3
1
2
2
3
3
1
1
1
2
61
1
1
1
1
1
2
1
2
17646
311
5
3
5
1
49
2
4
1
1
4
7
1
2
1
2
94
1
1
1
2
1
3
2
5
1
2
1
1
3
1
2
1
1
1
1
1
11
1
1
10
3
1
7
1
1
3
2
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
3
4
3
2
1
1
1
1
1
9
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
3
61
3
1
1
1
1
2
17
3
6
1
1
1
3
4
1
1
1
1
1
1
2
1
5
1
1
8
1
1
1
1
1
1
1
1
1
5
1
1
1
1
54
1
2
1
5
2
2
8
7
1
1
1
1
2
1
1
1
1
1
56
200
53
1
1
1
1
3
2
1
3
1
1
1
1
1
5
1
7
4
1
67
1
1
6
1
20
1
1
1
1
3
8
1
10
4
2
1
2
1
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
2
1
2
1
1
2
4
1
1
2
2
1
1
8
1
1
1
2
1
2
1
24
1
1
2
2
2
1
1
3
1
1
1
2
1
2
2
1
1
1
1
3
1
2
2
3
163
74
105
18
530
17
1
1
3
1
1
4
4
6
1
1
1
1
1
1
1
4
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
203
627
67
615
1
2
1
2
3
1
1
1
11
1
3
1
4
2
3
673
6152
1230
735
25
1
1
1
2
1
2
1
1
4
4
1
3
1
1
1
1
2
1
2
1
3
1
2
1
1
1
1
1
6
2
4
1
2
1
1
1
3
2
1
7
1
1
1
1
3
8
1
1
1
1
1
3
1
1
2
1
1
1
2
8
4
21
84
19
12
4
6
7
2
2
1
1
1
3
1
2
1
8
4
1
1
1
1
1
3
1
10
5
1
1
3
3
1
1
6
1
7
3
2
2
1
4
3
2
1
2
1
1
1
1
1
1
1
4
37
1
1
1
1
1
1
1
1
1
7
1
2
1
1
1
1
1
1
1
1
1
8
4
1
2
1
3
1
2
2
18
1
3
1
1
3
1
7
4
1
1
1
1
2
1
66
1
1
1
1
4
1
1
3
3
1
1
3
1
1
9
8
1
2
1
1
1
1
1
1
1
2
1
8
8
2
5
3
1
1
1
1
20
6
12
1
1
1
1
1
1
2
47
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
3
1
2
1
1
11
1
2
1
1
1
10
7
1
1
5
1
1
17
1
1
1
2
1
1
1
2
4
4
5
1
1
1
1
1
1
1
1
1
1
1
1
4
19
1
11
4
1
1
6
1
3
1
2
1
1
1
1
1
1
1
1
2
1
3
1
1
4
1
2
2
1
1
1
1
1
1
1
9
81
1
1
5
1
14
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
2
5
1
1
1
1
1
1
1
2
1
1
1
634
657
1020
332
1
21
1
12
1
1
1
50
1
2
1
5
3
3
91
110
18
16
1
1
7
2
4
1
1
1
1
1
1
1
1
1
1
1
1
2
7
1
1
1
1
1
1
4
1
2
6
2
2
700
1020
191
352
1
1
1
1
20
3
175
36
1
1
3
2
1
1
1
79
1
2
3
1
2
1
1
185
198
73
23
1
4
1
1
4
1
26
1
26
2
1
1
25
3
2
186
1
1
1
1
3
1
1
1
1
2
1
1
8
2
1
2
2
1
1
1
1
102
7
109
398
1
1
1
1
1
1
1
1
1
1
1
1
1
15
1
1
214
230
58
3
3
1
1
1
1
1
1
11
1
5
1
1
2
1
1
1
1
1
1
1
1
1
3
2
8
10
8
3
2
7
1
2
1
2
1
12
10
2
1
1
1
5
33
1369
1350
587
637
6
1
1
1
2
1
1
1
2
2
1
1
1
1
2
2
140
16
1
1
1
1
1
1
2
1
1
1
1
1
223
541
24
69
1
2
1
1
1
1
1
1
1
1
7
1
168
1
5
1
1
2
2
1
1
6
4
2
1
1
1
1
2
2
1
1
1
1
2
1
1
3
2
1
1
1
176
14
2
1
18
7
1
1
1
2
2
29
1
1
1
3
1
1
1
9
1
3
2
1
1
1
1
2
1
288
507
450
294
1
1
1
1
2
5
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
4
1
1
1
1
6
4
4
1
3
1
1
18
1
6
1
1
1
1
1
3
1
2
1
2
1
15
1
3
2
1
4
2
1
1
1
1
1
1
1
1
1
2
1
7
3
1
1
1
1
2
1
1
1
1
1
5
1
1
2
10
1
2
4
1
2
1
13
1
1
1
4
1
1
1
1
1
1
1
2
1
33
2
1
1
2
1
1
1
1
2
1
1
1
1
5
1
20
1
1
1
1
1
29
1
1
1
32
28
2
1
2
2
1
3
1
1
61
2
1
853
246
165
1
5
1
1
17
2
4
1
1
5
1
1
1
3
1
2
4
1
1
1
1
1
3
1
1
2
1
24
446
610
1378
4
1
6
3
3
1
1
3
1
1
1
1
1
1
7
1
12
1
1
2
2
2
4
1
1
4
40
37
109
6
1
1
1
1
153
37
24
14
67
5
2
1
3
1
1
1
1
17
395
1
1
2
2
1
1
1
1
1
1
1
8
135
1018
181
1
297
1
1
1
2
1
1
1
1
2
1
1
197
144
150
80
2
1
3
18
91
1
105
78
32
1
2
1
466
1
1
1
1
1
16
1
1
9
1
1
1
1
3
1
1
1
408
1024
1127
1
3
17
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
38
1
1
1
1
1
2
7
3
1
1
1
2
1
1
2
1
1
1
1
1
1
5
7
1
1
1
3
1
1
1
1
1
1
1
2
2
1
1
3
1
1
1
12
2
1
2
4
4
1
2
1
1
3
1
1
1
343
2
1
6
3
1
1
1
1
2
1
1
9
4
1
1
1
5
1
5
1
1
1
1
1
2
1
1
1
1
1
858
1
1
1
2
2
1
2
1
3
2
1
1
1
1
1
2
1
1
1
1
4
2
1
1
1
1
1
1
1
1
1
1
10
1
1
1
1
1
7
1
4
2
1
28
2
1
1
1
1
1
8
1
1
2
9
2
1
2
2
1
1
2
1
3
9
6
1
1
1
1
1
1
5
2
1
22
2
3
30
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
1
6
1
1
1
5
1
1
4
2
1
1
3
2
1
2
1
1
1
3
1
42
1
1
3
3
1
2
1
1
2
2
1
1
2
1
2
1
9
1
1
1
5
2
1
1
48
1
1
1
1
1
1
1
1
1
1
1
53
2
1
1
1
2
332
1
1
4
37
93
4
1
1
5
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
2
1
4
1
1
1
3
2
1
1
3
1
1
1
2
1
2
1
2
1
1
1
1
2
1
1
1
1
1
2
5
1
6
2
2
6
1
1
2
1
1
1
63
3
1
1
1
2
2
83
1
1
1
1
4
10
15
2
10
1
1
3
1
30
5
2
3
5
1
3
1
1
3021
1
1
1
1
41
23
1
1
1
2
1
3
1
8
4
1
441
173
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
7
1
1
2
1
2
1
1
1
4
1
1
1
2
1
1
5
5
1
45
1
13
6
1
2
1
1
3
2
1
1
1
2
2
213
1
1
1
3
1
1
1
1
2
4
1
1
1
1
2
1
3
2
2
7
1
1
1
1
2
1
1
1
1
2
19
1
1
1
1
2
1
1
1
15
3
2
1
1
1
2
1
1
1
1
22
1
4
1
1
1
1
1
2
215
1
3
1
4
1
1
1
2
112
5
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
3
1
2
1
1
1
7
2
1
1
2
2
1
1
239
205
1
58
31
1
1
6
1
1
1
1
1
1
1
1
1
3
2
1
1
15
1
1
1
1
1
1
1
2
1
1
2
1
15
37
2
2
5
1
1
1
1
1
1
1
3
2
1
1
2
2
69
5
2
3
1
1
23
1
4
1
3
1
1
1
1
1
1
1
20
2
15
1
1
2
2
1
2
1
6
1
1
1
1
1
1
2
1
1
1
2
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
2
2
1
1
2
2
1
3
2
17
4
1
90
8
3
1
1
6
1
8
4
1
1
1
2
1
1
1
1
1
1
2
9
4
1
1
1
1
1
1
1
3
1
1
10
1
1
2
16
1
1
37
1
1
1
1
24
2
1
2
1
1
1
1
1
3
1
1
6
1
1
1
2
1
23
3
5
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
2
2
2
1
1
1
3
1
15
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
7
2
6
13
3
1
2
1
2
1
1
1
1
1
3
3
2
1
1
2
4
1
10
2
1
2
6
5
1
1
1
1
1
3
2
3
1
1
15
1
5
2
1
1
1
1
2
1
1
1
13
1
1
1
1
1
33
7
9
1
1
2
1
1
1
1
19
3
3
2
1
1
2
1
2
1
2
2
2
1
4
1
1
4
1
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
8
1
1
58
1
1
1
2
1
1
1
1
5
1
1
1
1
1
1
2
4
3
1
1
690
283
769
1
3
1
1
2
6
1
2
9
59
30
31
37
1
2
1
33
2
293
50
35
47
41
7
1
1
1
1
2
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
1
1
1
4
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
3
3
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
1
1
1
1
2
1
4
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
1
3
1
2
1
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
5
2
1
1
3
1
1
3
2
2
1
1
1
3
1
3
1
1
3
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
3
1
1
1
6
2
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
98
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
3
2
1
1
1
4
1
1
3
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
2
1
1
1
1
1
1
1
3
1
3
1
2
2
2
1
1
1
1
1
1
1
1
1
1
14
2
1
1
1
1
1
1
2
19
5
2
1
1
1
1
1
1
1
2
2
2
2
2
1
1
19
3
5
1
1
1
5
1
1
1
358
385
8
50
250
1
1
1
1
412
2
1
263
1
1
1
6
6
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
2
67
18
1
2
1
4
1
2
1
4
3
1
2
1
1
1
1
6
3
1
1
1
1
1
1
1
181
1
78
1
2
1
1
1
1
2
1
1
1
1
13
1
1
1
1
1
9
2
2
1
1
2
4
21
2
7
1
1
1
2
8
3
1
2
2
1
1
2
1
1
1
1
3
2
1
3
1
1
2
3
1
3
12
15
22
6
1
1
2
1
2
1
1
3
1
1
1
2
1
1
1
1
1
1
1
82
1
2
1
3
2
2
3
1
26
9
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
3
2
1
1
32
3
5
2
3
5
1
10
3
3
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
2
1
3
1
1
1
2
1
1
3
1
1
35
3
12
1
1
1
4
1
1
137
10
4
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
9
1
3
4
1
1
1
2
2
1
1
1
1
18
2
1
1
3
3
1
8
1
2
1
1
1
2
1
1
1
1
1
1
2
1
6
1
1
2
1
135
1
1
2
1
2
3
3
4
15
10
9
4
1
5
1
1
4
1
1
2
35
14
3
4
1
1
1
2
5
1
2
2
39
1
1
3
1
21
1
1
1
1
1
2
1
1
3
5
4
1
4
1
1
4
2
1
1
1
1
8
104
2
1
2
2
1
1
13
2
1
1
1
3
1
5
2
9
97
96
1075
39
2
950
1390
1941
1
16605
1
2
1
70
18
46
152
6
1
2
1
1
1
1
1
1
3
1
1
1
1
13
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
225
1
1
1
1
1
1
1
1
2
3
1
1
24
1
1
5
1
1
1
2
1
6
1
1
1
1
2
1
1
2
2
1
2
3
1
3
1
1
3
44
1
1
1
4
1
1
1
1
1
1
74
1
1
1
3
1
1
1
4
5
12
1
1
1
1
1
2
1
3
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
1
1
1
1
1
18
1
3
1
1
1
2
1
1
1
1
1
3
1
1
2
1
1
1
1
1
4
3
1
1
1
1
9
2
1
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
4
10
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
1
1
1
2
1
1
3
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
3
1
6
1
2
2
1
1
1
1
2
3
1
1
1
1
1
8
3
2
1
2
1
3
2
2
1
1
2
4
1
2
1
2
1
2
2
1
1
1
2
1
2
5
1
3
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
51
1
1
1
16
31
1699
1
1
1
1
1
1
3
2
2
1
1
1
1
5
1
1
2
2
2
1
1
1
3
2
1
5
20
3
11
1
2
1
1
1
1
1
1
1
1
1
1
755
4
11
9
45
24
1
1
1
1
1
1
1
1
34
5
2
5
1
11
1
9
4
5
1
3
1
8
1
1
4
3
1
1
1
3
1
1
203
188
175
1
1
1
1
1
1
1
1
5
5
18
3
1
1
1
1
3
2
1
1
7
1
1
1
2
1
3
4
1
18
2
1
1
1
2
1
1
5
1
1
1
1
2
22
1
1
1
2
2
1
1
1
1
1
3
25
1
1
1
1
3
1
4
1
2
2
1
19
1
1
1
1
4
1
1
5
1
3
4
6
13
1
3
1
48
1
1
1
3
1
1
1
1
1
1
2
2
1
1
1
4
3
2
1
1
2
1
2
1
1
30
1
3
1
1
5
1
78
1
2
8
2
2
71
1
4
1
4
2
1
1
2
4
1
1
6
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
1
1
1
1
2
7
1
1
1
2
1
1
3
1
10
3
1
1
1
13
8
1
1
1
3
1
1
1
1
1
81
1
3
4
2
1
1
1
38
1
2
1
1
1
2
2
2
1
1
1
1
22
5
1
1
9
1
1
1
1
1
