1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
7
1
1
3
1
1
1
1
2
2
1
1
1
1
1
6
2
1
1
1
1
7
1
2
1
1
1
3
6
4
3
3
1
1
1
1
1
1
1
1
1
1
3
1
1
2
1
1
4
1
1
1
3
1
2
1
1
1
1
2
1
12
2
1
1
1
2
1
1
3
1
1
8
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
1
1
3
2
2
2
1
6
1
1
1
1
5
1
1
1
1
2
1
3
1
1
1
9
1
1
2
3
1
1
2
4
121
1
1
2
1
1
2
1
3
1
4
2
2
2
1
2
1
2
1
1
1
2
1
2
1
1
4
3
1
1
1
1
1
1
1
20
1
2
1
2
21
3
7
1
1
1
5
23
1
2
10
2
3
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
6
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
5
1
1
1
1
1
1
1
8
2
1
6
1
1
1
43
1
1
4
1
1
2
1
3
2
1
1
5
2
5
2
4
3
1
1
2
2
3
4
1
1
1
1
1
1
1
4
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
7
4
1
105
9
1
1
1
2
2
4
7
2
1
2
2
1
2
1
2
10
1
2
13
1
2
1
4
1
1
4
1
1
1
1
1
9
2
1
23
1
1
1
1
61
1
20
3
1
1
2
1
1
1
1
1
6
1
2
2
13
2
1
7
1
1
1
3
2
1
1
2
1
1
1
3
1
2
15
12
1
1
1
1
2
2
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
3
1
2
1
1
1
1
2
1
1
9
2
1
1
1
2
3
1
2
5
2
2
1
1
18
2
1
1
1
1
1
2
1
2
1
3
2
1
1
2
1
1
1
1
1
2
5
1
1
1
2
1
2
1
1
7
1
1
2
1
1
1
3
1
1
1
1
1
2
5
2
3
1
1
10
2
1
1
1
2
20
1
1
1
2
2
1
1
1
1
1
1
3
1
2
2
9
1
4
1
196
1055
2
5
1
1
1
11
1
2
9
2
2
1
1
1
1
1
1
3
1
1
1
1
3
1
1
1
1
1
1
3
1
1
2
1
2
1
1
2
1
2
1
1
4
2
2
1
1
1
2
1
1
1
28
8
1
62
1
2
1
1
1
4
1
1
1
1
3
1
1
4
3
1
1
2
1
1
1
3
5
1
1
1
2
1
1
4
1
12
1
1
3
2
1
1
3
2
2
5
2
4
1
3
2
1
7
1
1
17
1
1
1
2
1
1
1
2
4
1
1
7
1
2
1
1
1
1
1
2
7
1
1
4
426
168
1
1
1
1
1
10
2
4
4
2
1
2
3
2
1
15
1
8
1
1
2
1
1
1
1
35
9
1
1
1
2
3
1
4
1
2
1
2
1
3
1
1
1
1
1
1
1
2
3
1
1
2
1
1
58
1
4
1
3
2
1
3
1
1
5
61
1
1
2
37
3
1
1
1
8
2
1
14
2
3
14
3
2
1
1
1
2
1
1
4
1
12
1
6
2
1
4
1
1
2
1
1
1
1
1
1
1
17
1
1
1
1
4
65
1
1
1
5
10
1
1
1
2
1
1
24
1
3
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
3
1
11
1
2
1
1
26
1
1
1
1
1
1
1
1
30
2
1
1
1
385
3
1
5
1
1
2
3
3
3
3
2
5
4
1
2
1
10
2
1
1
4
1
1
1
1
1
1
7
2
1
1
2
4
1
1
2
1
1
1
1
1
1
1
1
2
1
1
17
1
1
1
1
1
3
1
1
2
1
7
1
1
3
1
2
1
1
1
3
1
1
2
1
2
2
1
1
2
1
1
1
1
1
1
1
1
3
1
4
2
1
1
2
2
2
1
1
3
3
1
36
5
1
1
3
1
1
1
1
1
2
2
1
6
7
1
1
2
1
313
17716
2
46
1
1
1
1
1
1
1
1
16
1
1
1
3
2
4
1
2
1
9
1
2
1
2
1
1
1
1
6
5
1
1
1
1
92
1
1
1
1
9
1
1
2
2
1
1
1
1
1
1
1
5
3
1
6
1
1
9
7
2
1
1
1
1
1
1
1
5
1
1
1
3
2
1
2
6
1
1
1
1
4
1
1
18
1
1
1
16
2
1
1
11
1
1
1
1
110
1
1
1
1
1
2
1
2
35
1
1
1
3
1
1
2
3
2
1
3
1
3
2
1
1
1
1
1
2
1
1
1
1
2
2
1
1
1
4
13
1
1
4
1
1
1
1
1
3
14
7
3
1
1
1
1
2
4
1
1
1
1
2
2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
3
1
2
1
1
1
1
2
2
3
1
4
1
1
2
1
1
3
4
2
1
6
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
3
14
8
9
1
1
1
1
13
1
2
1
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
8
1
1
1
1
1
35
1
1
1
1
1
1
5
1
1
2
1
1
1
1
1
1
1
7
2
1
2
1
4
1
8
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
4
1
22
1
2
1
21
1
7
1
1
1
2
1
1
2
2
2
2
22
1
1
1
5
1
1
2
2
2
1
1
1
2
1
1
1
1
2
1
1
1
5
27
32
1
1
1
1
1
1
1
2
3
3
2
1
2
1
1
1
1
1
1
12
1
1
4
3
1
1
1
200
16
50
1
3
2
1
2
1
2
1
1
1
1
1
1
1
1
1
4
1
3
1
1
1
2
1
7
1
8
1
1
9
3
1
1
1
1
3
1
1
1
7
2
1
1
2
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
11
1
1
68
1
5
2
1
3
1
5
1
1
1
1
57
6
1
1
2
1
2
1
3
1
1
1
3
1
1
1
1
2
1
2
1
1
1
1
1
2
1
4
4
9
1
1
46
4
1
2
2
3
1
1
7
6
1
1
1
2
2
1
1
3
1
2
1
2
1
2
1
1
1
2
6
3
1
2
7
3
1
1
1
2
1
1
1
2
2
2
3
2
2
2
1
1
1
2
1
1
1
2
14
1
1
5
1
1
1
1
1
1
1
1
1
2
1
4
3
1
5
3
1
2
2
4
2
2
2
1
3
1
2
1
1
2
1
1
4
1
5
1
1
1
1
1
1
2
1
4
16
1
2
2
3
4
2
1
1
1
1
1
1
3
3
1
1
4
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
1
2
1
163
39
105
17
19
1
9
1
1
1
1
1
1
1
2
2
2
1
1
11
1
1
8
3
2
2
1
2
3
1
1
1
2
1
1
1
1
1
1
1
1
12
2
1
1
1
3
1
4
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
3
1
1
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
13
2
1
1
2
13
1
1
1
4
1
1
2
1
1
1
1
2
624
110
609
1
1
1
2
1
1
1
1
1
1
5
1
1
1
9
4
2
1
1
1
2
1
1
1
1
1
6
1
3
2
733
406
1220
2
1
12
1
5
7
1
1
21
1
1
1
1
1
1
7
1
1
3
2
1
1
1
1
3
5
1
2
3
1
6
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
1
2
3
1
8
2
2
2
4
1
1
1
5
1
1
1
1
1
2
1
2
1
1
1
2
3
2
1
2
2
2
1
5
1
1
2
2
1
2
1
1
1
1
2
2
15
2
2
1
1
3
3
1
1
2
1
1
1
2
1
1
5
1
2
1
1
4
3
2
1
1
9
1
1
1
84
31
17
3
7
5
2
6
5
1
1
1
1
9
1
3
1
1
1
1
1
17
1
1
1
1
2
1
2
3
1
1
1
3
1
1
2
3
1
1
2
2
1
1
1
3
1
1
3
4
1
37
1
2
4
16
1
3
1
1
1
1
1
5
1
1
1
2
2
1
5
1
1
1
1
1
1
1
1
1
1
1
10
1
38
1
2
1
1
1
1
1
1
4
1
3
1
1
1
9
2
1
1
2
1
1
1
1
1
26
1
1
1
6
3
7
1
3
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
3
1
1
1
2
2
3
1
2
6
1
2
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
2
3
1
5
2
6
1
1
2
1
2
6
5
1
3
1
2
1
1
2
1
2
3
1
1
1
2
1
4
2
3
1
2
3
2
5
1
7
1
2
1
2
1
1
1
2
1
1
1
22
9
1
1
1
1
1
1
1
3
4
1
2
1
1
3
1
1
2
1
2
2
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
2
2
2
1
4
1
1
1
2
1
1
8
6
16
2
1
2
1
1
1
1
5
1
2
1
57
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
13
3
1
2
10
2
1
2
1
1
1
1
1
1
2
1
3
1
6
33
1
2
1
1
4
7
1
2
2
4
4
4
7
13
1
1
1
1
1
2
1
11
3
26
1
3
1
1
1
1
1
2
1
1
1
20
1
4
1
1
1
1
2
2
4
2
1
1
1
1
1
1
1
2
1
1
2
2
2
3
1
1
1
1
1
1
2
1
1
2
1
2
1
5
1
6
1
1
2
1
1
2
1
4
2
1
1
1
4
1
1
1
1
1
2
5
1
1
1
1
2
1
2
1
1
2
1
2
1
1
4
2
1
2
1
1
1
2
1
1
2
4
1
1
1
1
2
4
2
6
4
1
1
1
1
1
2
1
40
6
2
1
1
1
3
1
1
22
1
1
12
1
2
1
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
1
1
3
1
1
51
1
3
7
2
17
4
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
1
1
3
1
1
1
81
5
1
1
1
1
2
1
1
1
1
1
1
1
1
11
1
1
1
1
1
1
1
2
2
1
2
2
5
2
1
1
3
1
1
2
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
3
1
1
4
1
1
1
3
9
2
2
1
1
5
2
1
2
1
2
1
1
1
12
1
1
1
1
1
17
2
2
1
2
427
655
327
1
1
9
1
1
5
1
1
3
1
1
1
48
2
2
1
1
1
2
1
2
111
39
22
1
3
1
1
38
7
5
4
3
2
4
3
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
7
187
2
1
2
1
2
3
1
1
1
2
1
1
1
2
1
1
1
2
3
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
10
5
1
1
2
1
1
2
2
6
2
1
1
3
362
1031
313
1
2
20
1
1
2
3
2
2
2
4
1
8
1
2
2
8
1
1
2
10
1
1
1
3
1
1
1
2
3
1
3
1
4
1
1
1
1
1
1
2
3
5
1
2
1
1
1
185
88
1
1
1
10
1
6
3
1
42
1
1
1
1
1
1
3
2
1
7
2
3
1
1
8
2
1
1
2
2
3
1
4
283
62
4
3
1
1
2
1
1
12
1
49
2
1
1
1
1
2
1
2
1
1
1
4
1
1
3
7
5
2
2
2
1
2
4
1
1
1
1
1
1
1
1
1
2
4
5
1
1
1
3
1
1
1
9
1
2
1
10
1
1
1
1
1
3
109
76
1
1235
1
1
1
1
2
1
18
215
77
2
27
1
33
1
1
2
1
1
4
1
1
1
1
1
1
1
1
2
1
2
1
3
1
1
1
1
6
1
5
2
1
1
2
22
1
1
146
222
54
1
5
2
1
1
1
1
1
1
1
1
1
1
1
10
1
5
1
1
1
2
1
1
1
1
3
6
4
1
1
1
1
2
3
2
1
1
2
1
1
1
1
1
4
1
2
1
3
1
1
1
1
1
3
4
1
4
1
1
15
6
10
14
1
1
16
2
1
1
1
1
10
2
2
1
4
1
6
1
1
2
1
1
1
34
943
1348
692
8
1
3
1
1
3
1
2
8
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
6
2
1
1
1
1
1
1
292
1
1
1
1
1
1
1
1
2
5
8
1
10
1
7
1
2
24
1
5
1
2
1
1
1
1
1
1
9
1
1
1
2
1
1
99
538
68
2
1
1
1
1
1
1
3
6
2
6
1
1
1
1
1
1
1
1
1
2
2
1
2
2
1
1
8
1
1
1
1
2
1
1
1
10
176
1
1
1
1
1
1
1
1
2
1
1
1
6
2
1
1
6
1
1
1
1
1
1
1
1
2
4
1
3
1
1
1
1
1
1
1
1
4
1
1
1
1
1
2
1
2
2
1
1
2
1
1
1
3
1
3
2
1
1
1
1
1
1
21
1
1
1
6
1
1
3
1
1
1
1
2
1
1
4
1
1
1
1
1
1
1
1
1
1
5
2
1
1
4
1
1
1
1
1
2
1
2
2
1
1
1
2
5
1
1
1
1
8
1
1
1
2
1
2
1
1
1
3
148
2
2
1
17
1
1
18
4
1
4
1
1
1
2
5
5
1
30
4
1
3
1
1
2
3
1
1
1
1
3
2
2
2
1
3
1
8
1
2
1
3
1
1
1
1
2
1
1
1
1
2
1
2
1
2
2
1
1
1
1
1
1
1
2
1
1
2
9
1
10
1
2
1
1
4
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
1
2
1
2
1
1
2
1
6
288
253
261
1
1
3
1
1
1
1
1
5
3
2
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
2
1
1
1
2
1
3
1
1
1
2
12
2
1
2
1
1
1
1
1
1
1
1
1
1
8
2
1
2
1
1
1
4
1
2
3
25
1
1
1
8
1
1
1
1
1
1
1
4
1
1
1
10
1
2
1
3
1
3
43
1
3
2
1
1
4
1
2
1
1
1
1
1
1
1
3
1
2
3
1
15
1
2
1
2
1
1
3
3
1
11
1
10
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
2
1
3
21
1
1
1
1
1
1
2
17
1
1
1
3
1
40
1
3
2
1
1
1
1
1
2
2
1
1
3
1
1
2
2
3
2
1
2
1
1
1
1
1
2
2
1
1
1
2
1
33
2
2
3
1
1
1
6
14
1
1
2
1
1
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
6
2
1
2
7
55
1
1
2
1
1
1
1
1
1
1
1
1
2
33
28
3
1
1
1
1
1
1
1
2
1
5
2
2
5
2
3
1
1
1
1
61
7
3
3
1
4
2
657
244
4
1
1
4
4
21
1
1
2
5
8
18
1
2
3
2
1
1
1
1
5
1
4
1
2
3
2
1
1
1
1
1
2
1
1
1
1
1
18
6
2
6
1
4
2
20
619
256
1
4
1
1
1
1
1
1
208
1
1
2
4
2
5
1
1
1
1
1
2
1
1
5
5
2
6
1
2
2
2
3
4
10
1
13
2
3
2
6
2
1
1
2
2
1
1
13
1
2
1
1
9
1
2
4
2
2
3
3
1
11
1
54
124
748
1
1
2
1
10
1
1
1
1
1
1
1
1
153
15
35
14
73
2
1
4
1
2
2
1
2
1
3
1
8
1
1
1
4
10
2
21
414
1
2
1
4
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
6
1
1
1
155
75
1023
1
6
11
1
267
1
1
1
3
1
1
1
1
1
1
1
1
1
2
2
1
8
1
1
1
3
1
1
1
4
1
1
1
1
142
63
81
7
1
1
5
1
1
1
1
1
35
93
2
1
1
1
2
74
32
84
3
9
4
3
1
1
1
1
1
1
356
1
3
4
1
1
1
1
2
9
18
1
1
1
7
1
1
1
2
1
7
2
1
2
1
1
1
22
1
3
1
1
1
1
1028
260
337
4
2
1
1
2
20
1
2
1
1
1
1
4
2
1
1
6
1
1
1
1
1
1
2
30
4
1
1
1
1
3
1
4
1
1
1
1
5
1
2
1
1
1
1
4
1
1
4
1
1
1
59
1
1
2
1
2
2
2
1
1
1
1
4
1
1
1
7
1
4
1
3
1
1
1
2
2
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
2
3
9
7
1
1
1
1
2
1
2
2
7
3
1
1
1
2
1
3
1
1
1
8
1
1
1
1
1
2
1
27
2
2
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
3
1
1
1
1
12
1
3
1
2
1
1
4
1
1
4
1
1
1
1
1
1
2
3
1
3
1
1
4
1
1
1
3
2
1
1
1
1
1
1
1
19
1
4
4
2
1
2
1
6
1
1
2
2
2
3
1
1
2
1
1
1
1
1
1
1
4
7
1
1
1
1
1
1
12
3
30
1
1
1
2
1
3
1
223
1
2
1
2
1
2
1
1
1
9
2
5
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
2
4
1
3
2
1
1
1
4
1
1
1
1
2
3
1
3
2
5
1
1
1
1
1
1
2
1
4
10
1
2
2
4
2
4
3
3
1
2
2
1
1
1
1
3
2
1
1
1
1
3
2
5
1
2
1
1
1
1
1
2
2
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
6
8
1
5
1
1
1
1
3
1
1
1
1
1
3
6
3
1
5
2
1
2
1
4
3
3
3
2
1
1
1
13
2
1
1
2
1
1
5
3
2
3
6
1
2
1
1
2
1
1
1
4
1
2
1
1
1
1
1
1
1
2
1
3
1
2
1
1
1
12
1
2
1
1
4
2
1
2
1
4
1
1
1
6
1
28
1
1
1
10
2
1
1
3
1
1
1
1
1
1
1
1
3
2
1
2
1
1
1
2
1
1
12
1
2
10
1
1
1
1
1
1
3
1
1
2
1
1
1
2
1
9
1
3
1
2
5
2
1
1
1
1
1
1
4
5
3
1
10
2
1
18
10
1
5
3
2
1
1
4
2
2
2
1
1
5
4
1
2
1
1
1
1
1
1
1
3
1
1
2
64
1
1
1
1
1
1
1
3
3
2
1
1
2
1
1
1
2
10
1
1
1
2
1
1
1
1
2
1
1
1
4
1
7
7
4
1
5
1
1
6
1
1
1
1
1
1
1
1
2
1
1
1
1
1
4
2
2
1
2
1
1
2
1
1
1
42
9
1
2
2
1
3
2
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
17
1
1
1
1
1
1
3
2
1
1
1
2
5
1
5
1
1
3
239
1
1
1
1
1
25
1
2
1
1
1
3
3
1
64
1
2
1
3
93
17
11
1
1
23
12
3
2
1
1
1
1
2
2
2
1
1
3
1
1
3
1
1
3
1
1
2
1
2
4
1
1
1
3
6
1
4
1
1
1
2
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
4
1
1
7
1
1
1
1
1
1
1
1
1
1
2
23
1
1
1
1
1
2
1
5
1
1
31
3
1
2
2
1
1
3
1
6
1
7
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
4
1
4
2
28
1
3
1
1
1
4
1
1
1
1
1
1
2
1
1
3
6
1
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
2
1
181
1
1
4
4
1
4
3
3
1
1
8
6
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
2
2
1
1
1
2
1
2
1
1
2
2
5
7
3
1
1
1
2
1
1
1
1
1
77
1
1
1
3
1
1
5
1
1
9
7
1
9
1
1
1
2
15
1
1
4
2
1
1
3
1
1
24
4
2
4
1
5
3
2
1
1
1
2
13460
1
4
1
1
1
1
1
1
1
1
1
3
1
1
2
1
4
1
4
1
2
3
1
1
2
19
1
1
2
1
1
1
1
2
1
1
2
1
2
6
1
13
2
1
1
3
2
1
1
1
1
435
194
3
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
1
7
10
2
1
1
4
2
3
1
1
2
1
2
1
1
1
2
8
1
1
1
1
1
1
2
1
1
11
1
2
1
1
8
1
1
4
1
1
1
2
2
1
1
1
1
1
14
1
1
1
1
1
1
3
3
1
1
3
9
1
1
1
3
2
1
2
2
1
1
1
1
48
1
1
1
1
29
1
3
1
1
1
1
2
1
2
4
1
1
3
14
1
2
2
21
7
1
2
1
1
4
1
1
1
111
3
1
1
11
7
14
1
2
2
4
3
1
2
4
1
1
1
2
1
1
2
1
1
1
1
2
6
1
1
1
4
1
8
1
1
2
6
2
1
1
1
1
9
1
1
1
1
2
2
1
1
1
3
1
1
2
2
1
1
1
24
1
1
1
1
2
3
1
1
1
1
1
2
1
1
1
1
1
3
1
1
4
1
2
3
1
1
1
7
1
1
1
1
1
1
1
2
3
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
2
1
1
6
2
11
2
1
91
1
1
1
1
3
1
3
1
1
1
5
2
1
1
1
2
1
2
1
2
1
1
3
1
2
14
1
1
1
1
1
1
146
3
1
1
1
1
3
1
1
1
3
1
4
1
1
5
1
1
1
3
2
1
1
1
4
1
1
1
2
1
2
1
1
1
1
3
1
6
2
25
1
1
1
1
1
1
1
1
3
2
1
1
7
1
1
4
1
4
1
21
1
1
1
1
3
3
2
1
1
1
2
1
1
1
1
3
1
7
1
1
5
1
8
1
1
1
1
1
1
1
1
1
12
1
2
2
1
77
2
2
1
1
8
1
1
7
1
204
137
44
3
2
1
1
1
5
10
2
1
1
2
1
1
2
1
4
1
1
4
34
5
1
1
1
6
2
7
1
1
2
2
1
1
1
1
1
1
1
1
1
8
1
4
1
1
1
1
2
1
1
201
1
3
1
8
2
1
1
1
1
2
13
2
1
2
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
4
770
18
1
1
2
1
1
1
1
1
1
2
1
50
1
9
2
1
3
3
2
1
1
1
1
1
25
2
1
4
1
1
1
4
1
1
2
1
1
3
3
3
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
6
1
1
1
1
2
1
1
1
3
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
2
29
2
1
1
1
3
1
2
2
1
2
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
3
1
1
1
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
1
1
1
1
21
4
1
1
2
1
2
1
1
1
1
1
3
3
4
1
2
1
1
4
1
1
1
1
1
2
1
2
6
1
1
6
1
8
2
2
2
1
2
2
2
6
78
8
4
3
1
1
1
1
1
7
2
1
1
1
1
11
1
1
2
3
1
1
2
2
1
1
1
1
1
1
1
1
1
1
4
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
11
1
3
1
1
5
1
1
2
5
1
1
2
1
1
1
1
1
8
1
3
6
2
3
8
1
9
1
1
2
4
1
2
2
1
1
2
1
2
1
1
1
1
1
3
1
2
3
1
142
7
1
2
2
3
1
3
1
19
2
1
4
1
4
1
11
63
1
1
1
1
1
1
3
8
1
1
6
1
1
4
1
2
30
3
1
1
1
1
2
1
1
1
1
1
1
9
1
3
3
1
1
1
2
7
3
1
1
2
1
1
1
9
1
4
1
1
22
6
3
1
1
1
2
2
1
3
1
1
1
3
1
1
9
1
2
1
1
1
1
1
1
1
2
10
3
1
1
1
4
1
1
2
2
1
5
1
1
1
1
1
3
1
2
2
1
1
1
1
1
2
1
1
1
2
2
5
3
3
1
1
1
1
1
1
1
1
1
1
1
2
1
6
4
3
3
1
38
6
1
1
3
1
1
1
1
1
6
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
6
1
2
1
1
1
1
1
2
1
1
1
1
7
1
5
6
3
4
1
1
1
3
1
1
5
1
1
6
1
1
1
2
1
3
1
1
15
2
5
1
4
1
1
2
1
1
1
1
1
2
2
2
1
1
1
1
1
2
2
1
1
1
1
1
1
4
1
1
1
3
1
1
1
6
2
1
3
38
2
1
2
1
4
2
12
1
1
1
1
1
1
2
2
12
6
1
2
17
1
4
2
4
1
3
1
1
2
1
1
1
2
1
2
1
1
1
1
2
1
2
1
1
1
1
2
1
1
3
1
2
1
11
1
8
1
1
2
1
1
1
1
1
1
3
1
3
2
1
3
2
4
1
1
1
2
1
2
3
1
1
8
1
26
1
2
1
4
177
2
1
1
1
3
1
1
6
1
1
5
1
1
1
2
3
2
8
2
1
1
2
1
1
1
2
1
1
3
1
4
1
2
1
1
1
3
3
1
3
1
4
1
2
1
693
200
745
3
3
1
1
1
1
6
8
1
2
1
1
1
2
1
1
1
1
1
1
1
4
62
11
39
2
3
49
32
73
15
9
2
61
17
4
2
39
6
2
5
1
4
1
2
1
2
1
1
1
1
2
1
1
1
2
1
1
1
1
2
4
1
10
2
3
2
2
1
4
1
1
1
4
2
1
1
3
1
1
5
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
4
1
2
1
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
2
1
1
3
2
2
1
3
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
3
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
3
1
2
2
1
1
1
1
2
1
4
1
1
1
1
1
3
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
2
1
1
6
1
1
1
1
1
1
2
2
1
2
1
2
1
2
1
1
1
3
1
2
1
1
1
1
1
1
3
1
1
1
2
2
1
4
1
3
7
2
1
1
1
1
2
1
2
1
1
4
1
1
1
1
1
2
1
1
1
2
1
2
3
1
2
1
1
2
1
1
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
1
6
3
1
1
3
8
6
1
2
2
3
2
1
1
2
1
1
1
1
1
1
4
1
2
4
1
1
4
2
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
2
1
2
1
1
1
1
1
1
3
1
1
1
1
2
1
3
1
1
2
1
1
1
4
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
2
3
1
2
1
1
5
1
1
4
2
1
1
1
1
1
1
1
1
1
8
1
2
2
3
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
1
3
1
3
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
2
2
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
1
1
1
2
1
4
2
1
4
1
2
5
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
2
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
1
1
2
1
2
4
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
3
2
3
2
6
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
4
4
1
1
1
1
1
1
1
1
2
1
1
2
1
2
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
2
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
7
1
1
1
1
1
2
2
1
2
2
1
1
2
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
2
4
4
2
1
1
1
1
1
1
2
2
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
2
2
1
1
1
2
1
3
1
1
1
1
2
2
1
1
2
1
2
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
3
1
1
1
3
2
1
1
1
1
1
1
1
1
1
3
1
3
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
2
1
3
1
3
1
1
1
1
1
1
1
1
2
1
1
1
1
1
208
2
1
1
1
2
1
1
1
1
1
1
2
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
2
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
3
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
2
2
1
3
1
1
1
3
1
1
1
1
6
1
9
1
1
1
1
2
2
1
2
1
1
1
4
1
1
3
3
1
2
1
1
1
2
3
1
3
1
1
1
1
1
1
1
1
2
1
1
15
1
7
1
3
60
1
17
150
52
1
1
1
1
1
1
1
2
2
2
1
1
1
1
171
1
1
1
1
1
2
2
1
1
2
2
8
1
6
1
2
1
2
1
1
1
1
1
1
1
1
1
1
3
2
1
1
1
2
1
1
1
1
1
1
1
1
3
5
3
2
1
1
1
1
1
7
5
1
14
1
1
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
9
1
1
2
3
1
4
1
6
1
4
1
3
1
1
1
2
3
1
1
1
6
1
1
1
1
2
382
167
42
4
211
1
1
1
2
3
7
9
1
1
1233
1
1
1
1
1
1
2
1
1
132
1
2
1
1
1
2
3
4
2
8
1
1
1
8
1
1
1
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
4
1
1
2
2
1
1
1
1
1
1
4
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
3
2
1
1
2
1
1
1
1
1
1
14
14
11
1
3
2
1
1
1
2
7
2
1
4
1
1
1
1
1
4
1
1
2
8
1
1
1
1
1
1
3
1
1
4
4
1
1
1
3
2
180
33
1
27
5
1
1
1
1
2
1
2
1
12
1
1
2
2
1
1
1
2
1
6
2
1
1
8
1
5
2
1
1
2
2
1
2
1
1
1
1
1
1
2
1
2
1
1
2
1
7
2
2
3
22
1
1
1
4
1
1
11
2
1
1
2
1
1
1
1
1
2
2
1
2
1
1
1
1
1
4
1
1
5
1
6
1
2
2
28
1
1
3
1
2
1
3
1
1
1
1
1
2
1
1
1
1
19
5
3
2
1
1
1
1
1
1
1
1
3
2
5
1
1
2
1
1
2
2
1
11
3
3
1
1
2
1
3
5
1
37
2
34
3
3
6
2
6
15
1
1
2
1
1
1
1
1
1
2
5
1
1
4
1
1
1
3
2
1
4
2
1
2
1
2
1
6
1
1
3
1
1
1
1
1
1
1
2
2
3
1
1
3
82
2
2
1
1
2
1
2
2
1
1
1
4
7
1
1
2
1
1
1
1
1
1
2
3
3
5
19
14
1
1
3
1
3
1
3
2
2
1
1
1
1
2
1
3
1
1
1
3
1
1
5
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
6
3
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
31
3
2
2
1
2
1
1
2
2
4
10
2
1
2
1
2
2
1
1
1
2
2
2
1
1
3
1
1
1
2
33
2
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
8
1
2
2
1
1
6
1
1
2
1
1
34
1
3
9
1
1
1
1
1
1
1
3
2
1
2
9
9
113
1
1
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
4
2
2
7
1
1
1
1
1
25
2
3
2
1
4
1
2
2
6
1
1
5
2
2
2
1
2
2
1
1
1
1
1
1
1
84
3
1
2
2
1
1
1
2
1
1
3
4
3
1
1
1
2
16
4
10
1
1
1
1
3
1
1
7
2
1
1
1
1
1
4
1
4
1
1
1
1
2
1
2
1
4
1
1
2
1
7
2
1
1
1
1
1
2
2
1
2
3
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
13
3
2
1
4
1
1
5
4
1
4
9
2
1
3
3
11
1
1
3
3
33
2
1
1
4
1
1
1
1
1
3
1
111
2
2
5
6
1
36
36
1
2
2
2
3
1
1
1
1
4
29
1
2
3
3
1
1
8
1
1
31
1
1
1
5
1
1
2
1
1
1
2
1
4
1
1
1
1
1
36
1
3
1
1
1
2
1
1
1
2
4
1
5
1
4
1
1
1
19
1
1
2
2
1
16
1
2
2
1
2
1
2
6
1
2
97
37
50
1
5
1
2
4
1
1
1
2
1
1
1044
949
1967
1
1
1
1
1
1
46
36
20
1
1
1
4
8
1
1
1
1
4
2
1
2
2
1
3
1
1
1
1
1
1
3
1
1
1
10
1
1
1
1
2
1
1
1
11
2
1
1
1
1
2
4
3
2
1
1
1
2
1
1
5
1
7
1
1
2
1
3
4
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
4
2
2
2
4
4
2
5
1
5
3
1
1
1
1
2
1
1
1
13
1
1
1
1
7
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
12
2
1
1
1
2
46
2
2
1
2
4
4
1
3
3
1
1
3
1
2
1
12
9
1
1
1
1
3
3
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
3
1
1
1
3
101
1
1
1
1
1
2
2
5
1
1
1
1
2
1
2
37
1
1
3
1
34
1
1
1
1
2
3
10
3
2
1
1
1
2
1
1
1
1
1
11
1
1
3
1
2
1
3
2
12
1
1
1
1
1
1
2
1
1
1
1
1
3
1
1
1
1
3
7
8
45
1
2
1
1
2
2
25
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
3
1
1
3
1
6
1
2
7
2
14
4
1
3
1
6
1
1
1
1
1
1
1
1
1
2
1
1
11
5
2
1
2
1
1
43
1
1
1
1
1
1
1
1
1
1
1
3
1
3
1
11
1
1
2
2
2
1
4
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
4
3
1
1
1
3
1
1
1
1
1
2
1
1
1
1
2
1
1
1
10
1
1
1
1
3
3
1
1
1
16
1
2
1
1
1
7
1
1
2
1
1
1
2
2
3
1
1
1
1
1
1
4
3
9
1
1
1
1
8
1
3
4
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
3
4
2
5
1
1
3
4
1
2
2
3
1
4
5
1
1
1
1
1
2
5
1
3
2
1
2
1
2
2
2
1
2
1
3
1
1
1
1
6
3
1
1
7
1
1
1
1
2
2
2
1
4
1
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
3
5
3
4
1
2
1
1
1
1
1
1
1
2
1
1
3
1
1
1
3
1
4
1
1
2
1
4
1
1
5
1
1
3
1
2
2
2
1
1
1
2
2
1
1
2
1
1
3
1
1
1
1
1
2
2
3
1
7
1
2
1
1
1
1
1
1
1
2
1
2
1
4
1
1
1
2
1
2
5
1
1
3
14
1
1
1
1
1
1
2
2
1
23
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
2
1
1
1
2
2
1
1
1
2
1
1
1
1
1
2
3
14
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
1
4
1
1
1
2
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
3
1
3
2
1
1
1
1
2
2
1
1
1
1
1
1
1
24
1
1
1
1
3
2
1
1
2
1
1
1
2
1
2
2
2
1
3
1
2
1
1
3
17
1
4
2
3
1
2
1
1
2
1
4
1
3
1
1
3
1
1
1
1
1
1
1
2
1
1
1
2
2
12
2
1
3
1
3
13
6
7
7
1
3
1
1
2
2
1
1
1
1
2
1
1
2
2
1
2
1
1
1
1
1
1
1
1
2
4
8
3
1
2
2
1
2
1
1
1
1
2
1
1
3
1
78
3
3
1
6
1
5
5
12
6
3
6
1
2
1
2
2
1
1
1
1
1
1
33
3
1
1
3
3
1
2
5
2
14
2
2
1
1
1
1
1
1
2
1
1
1
2
46
2
1
14
1
1
2
1
59
1
1
1
1
648
2
1
2
18
1
3
2
1
1
10
46
24
1
1
1
1
8
2
3
2
1
1
1
1
1
1
2
1
4
1
2
1
1
1
1
1
175
1
2
4
2
1
1
18
15
2
1
1
12
1
1
2
1
19
12
3
2
2
1
3
2
1
1
2
7
1
1
2
6
1
1
11
1
1
2
1
19
1
2
1
2
3
1
1
3
3
4
1
1
1
1
2
2
6
1
5
1
2
1
2
3
1
200
105
1
1
1
2
2
19
1
7
3
2
1
2
7
1
1
1
3
3
1
5
1
1
6
1
5
3
1
1
1
1
1
2
1
1
1
1
1
1
2
5
1
2
1
1
2
1
1
1
1
1
2
2
1
4
2
2
3
1
1
1
2
3
1
2
2
1
1
1
1
10
1
5
4
1
15
1
13
2
1
3
1
1
1
10
1
1
1
1
1
1
9
1
1
1
1
1
13
1
1
1
1
1
21
1
1
4
2
2
3
1
1
1
1
1
1
1
2
3
1
1
1
1
2
1
8
39
1
7
3
1
4
1
3
5
1
6
1
1
1
1
1
1
4
1
3
1
1
1
1
1
1
1
5
1
20
2
1
2
2
1
1
5
2
6
2
1
1
1
1
2
6
2
1
4
1
3
1
1
2
4
1
1
2
12
1
1
11
13
1
2
4
3
1
1
2
1
1
3
1
3
1
1
5
8
1
1
1
1
10
2
1
2
1
1
1
1
1
1
9
3
1
6
3
1
1
1
1
1
2
2
3
1
6
8
2
1
5
1
1
1
4
1
1
5
2
1
1
3
7
2
1
148
1
1
2
1
7
1
1
1
1
2
1
2
5
3
1
1
55
1
3
1
2
9
1
3
1
1
1
2
2
57
2
1
1
1
4
1
1
1
2
1
2
4
1
1
1
1
1
1
10
7
1
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
6
10
6
1
4
1
1
1
1
1
1
1
2
1
5
92
1
1
4
1
1
1
3
1
2
1
1
1
1
1
3
1
1
1
2
2
1
28
1
1
1
1
1
3
1
1
2
2
2
4
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
1
1
2
3
1
1
1
1
3
1
1
2
1
1
1
1
16
5
4
1
1
8
3
1
1
1
1
6
1
1
1
1
3
1
478
3
2
1
1
1
1
2
4
1
1
1881
6
1
3
1
1
1
1
3
1
1
2
1
5
2
2
1
2
1
7
2
1
1
1
2
1
1
3
1
1
4
1
1
5
15
1
1
1
1
2
2
3
29
2
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
4
1
2
1
2
1
3
6
1
1
5
34
6
1
1
1
1
2
1
1
1
5
1
1
1
3
4
1
1
1
2
6
1
3
