41
3
4
1
1
2
1
1
2
1
3
1
1
1
1
2
1
1
3
1
1
1
2
1
1
1
4
4
43
1
1
1
1
1
1
1
2
2
1
1
3
2
1
1
1
1
2
5
1
5
1
2
1
5
1
1
1
1
1
1
1
1
1
1
1
1
6
1
1
1
3
1
5
1
1
1
2
1
1
1
1
1
22
5
2
1
1
3
1
1
1
4
7
2
1
3
1
1
1
2
1
1
1
2
1
2
2
1
1
19
4
1
10
1
1
1
4
5
1
6
1
1
1
1
1
4
11
2
1
5
1
1
15
1
6
1
1
1
2
1
1
1
1
1
1
3
1
1
1
1
1
2
1
2
1
1
1
2
1
1
1
3
1
1
4
1
1
1
1
1
3
2
2
2
1
1
1
1
1
2
1
1
1
1
1
1
2
4
3
2
1
1
1
11
2
1
2
1
1
6
2
2
1
1
2
4
2
2
1
1
1
1
2
1
3
2
2
1
1
1
1
2
1
2
1
1
9
1
1
1
1
2
1
1
1
31
2
1
1
2
12
1
2
1
1
1
4
6
1
3
1
1
1
1
1
1
1
1
1
1
1
1
1
8
6
1
3
3
1
1
5
1
1
1
1
1
20
1
2
5
17
1
1
1
1
1
3
1
1
3
1
1
1
1
1
2
1
1
1
2
1
1
8
1
1
1
2
1
8
2
5
2
3
3
2
2
10
2
1
1
1
1
1
1
1
3
1
1
1
1
3
1
2
1
1
1
1
9
1
2
1
1
1
1354
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
3
3
5
1
1
1
1
1
1
1
3
1
1
1
1
2
1
1
2
1
2
1
1
1
1
2
3
1
1
1
1
2
10
2
4
1
1
2
1
1
1
1
1
1
1
1
1
16
2
1
1
4
1
1
1
1
1
2
1
1
1
1
1
5
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
2
2
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
1
3
3
1
1
1
2
1
6
1
3
1
1
2
2
1
1
3
1
2
1
3
4
1
2
3
2
5
2
1
1
1
1
5
2
1
2
1
10
1
1
1
5
1
31
5
3
3
3
1
3
3
1
1
1
6
1
5
1
1
2
1
2
1
3
1
1
1
1
1
2
3
1
1
1
1
1
1
7
2
1
2
7
1
1
1
1
3
1
1
2
6
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
2
4
1
2
1
3
1
1
1
2
1
1
1
1
1
1
1
1
1
4
1
1
4
1
1
6
2
1
1
1
1
1
1
1
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
2
2
2
1
1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
3
1
1
1
1
1
1
1
12
1
1
3
1
1
1
5
1
1
3
1
1
1
4
28
1
2
1
1
1
2
1
1
1
1
3
6
1
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
1
1
1
1
10
1
2
12
1
3
1
5
2
1
5
3
3
1
26
1
2
1
1
1
10
1
3
1
2
1
1
1
2
1
1
1
2
1
1
1
1
1
2
1
2
1
8
1
3
1
1
1
1
1
2
2
1
1
1
1
8
1
1
2
1
1
1
1
1
2
1
1
1
1
5
1
1
1
4
1
1
1
3
1
1
1
1
65
2
1
1
1
1
1
1
3
1
2
3
1
1
3
1
1
1
1
1
1
2
1
2
1
1
2
1
5
1
3
6
2
1
3
1
1
1
2
1
1
1
4
17
1
1
6
1
2
1
1
3
3
1
2
2
3
2
2
1
10
1
1
2
2
1
1
6
1
7
1
6
2
1
3
5
2
1
1
14
1
1
1
1
2
9
1
1
3
1
1
1
1
1
2
1
1
7
4
1
3
1
1
1
1
1
1
1
1
1
1
1
3
4
1
3
1
24
1
9
3
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
10
3
3
1
1
3
4
1
1
1
1
1
1
1
2
1
2
1
2
1
1
1
43
1
1
6
1
1
1
5
1
1
1
1
2
1
1
1
2
2
3
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
5
1
1
1
1
1
5
1
1
2
1
1
10
2
10
1
1
3
1
2
2
1
1
1
1
1
29
1
1
6
2
1
13
1
1
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
4
2
2
3
1
2
2
1
1
2
1
2
10
3
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
12
1
1
1
1
1
1
1
3
1
9
1
1
1
1
1
1
1
4
1
1
7
1
1
1
1
1
1
1
1
1
1
1
4
1
1
2
1
1
2
1
1
1
3
1
4
1
12
1
1
1
1
1
1
1
2
1
1
1
1
2
7
2
6
1
3
1
1
2
1
1
1
1
1
1
1
1
1
5
1
1
2
1
13
1
2
1
1
1
4
1
2
1
1
3
3
5
2
1
28
2
1
1
2
1
1
1
1
1
6
2
4
4
2
1
1
1
1
4
1
1
1
1
1
4
2
6
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
12
1
3
1
1
1
2
13
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
3
3
1
2
6
1
2
2
2
1
1
1
2
1
2
2
1
1
1
1
1
2
1
2
1
1
2
10
1
2
11
3
1
2
2
1
1
1
1
1
2
1
1
1
2
1
1
1
1
5
1
1
2
1
1
2
1
1
1
1
17
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
2
5
1
1
7
1
3
1
1
2
5
2
1
1
1
3
1
1
1
1
4
1
3
5
2
1
1
2
3
1
1
1
6
1
1
1
1
2
1
1
12
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
29
1
1
8
2
2
1
3
1
2
2
1
1
1
2
1
1
2
1
1
3
1
1
1
1
6
7
3
52
1
1
3
1
1
1
1
1
2
1
1
1
1
3
1
1
3
4
1
1
1
66
1
1
1
1
1
1
1
1
5
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
2
2
8
5
1
1
1
2
1
2
3
2
1
2
1
1
1
1
19
4
1
18
2
1
3
3
1
1
1
1
1
1
1
1
1
1
1
8
1
1
1
1
1
1
10
1
1
4
2
1
1
1
1
1
5
1
1
1
1
9
1
1
1
1
7
1
2
1
1
3
2
9
1
2
4
1
1
1
1
1
1
1
2
1
5
1
1
1
2
1
1
3
3
2
1
1
3
5
1
1
5
1
1
1
1
1
2
2
1
14
1
1
1
1
2
5
3
1
1
2
1
2
4
2
1
11
1
1
2
4
2
1
3
1
7
4
1
1
3
1
1
1
1
1
1
1
1
1
2
3
3
11
1
1
3
1
1
2
1
1
1
1
1
1
1
1
1
1
3
1
1
52
4
7
1
7
1
1
5
1
1
3
1
1
2
1
1
1
3
4
3
1
3
3
2
13
2
3
1
3
3
2
1
1
5
3
1
1
1
2
3
3
10
1
1
2
1
1
4
1
2
3
1
1
2
1
1
1
1
1
1
4
4
1
1
1
3
1
1
8
1
1
1
1
3
2
1
1
7
5
1
1
4
1
3
2
1
1
1
1
2
2
1
1
1
1
10
2
1
1
1
2
10
1
1
1
1
2
1
7
2
1
2
1
1
1
1
1
1
3
1
2
9
1
7
1
2
1
2
1
1
2
2
3
2
1
1
1
2
1
20
1
1
1
2
1
2
1
1
1
13
4
1
1
1
2
1
1
8
1
1
1
1
1
1
1
2
1
1
1
1
1
1
5
6
1
1
1
2
1
6
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
1
10699
1
2
1
2
2
4
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
7
1
1
2
1
18
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
3
4
3
1
1
1
1
1
3
1
1
3
1
1
2
1
1
6
1
1
2
5
1
13
60
1
24
1
1
2
8
5
1
4
1
4
3
1
1
1
1
4
1
2
2
3
4
24
6
11
5
2
1
2
1
1
1
2
5
1
6
1
3
1
7
13
1
2
7
1
1
1
1
4
1
1
15
2
29
1
1
2
1
1
1
1
3
1
1
2
2
2
1
2
1
1
1
1
1
24
2
5
1
8
3
1
1
1
1
1
12
3
2
3
1
2
2
2
1
8
2
12
1
1
5
2
1
1
13
1
2
3
1
1
1
1
4
2
5
1
3
1
1
1
2
1
2
1
3
1
5
1
1
1
1
1
1
1
1
1
1
2
22
1
3
1
1
1
1
2
1
2
1
2
1
1
11
7
1
2
1
1
4
7
9
1
1
1
1
1
1
3
1
1
2
1
1
1
2
3
1
1
1
1
4
1
1
4
1
1
2
1
1
1
16
3
5
1
1
1
1
3
1
1
5
1
5
1
2
27
3
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
3
3
1
1
6
1
3
4
10
3
2
8
5
1
1
1
2
1
2
1
1
1
2
1
2
4
1
2
1
1
1
4
3
2
1
4
15
1
1
1
5
1
2
2
1
1
1
1
1
1
3
7
1
2
1
1
1
8
1
2
2
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
3
1
1
1
3
1
14
2
1
1
1
2
3
8
1
4
2
3
1
1
1
1
9
2
1
1
10
3
1
1
2
1
7371
1
1
1
1
1
14
3
1
2
2
1
1
1
1
1
3
4
1
1
22
1
2
1
1
1
1
2
1
1
1
9
5
2
1
2
3
1
1
2
1
2
1
1
1
1
2
1
1
1
3
1
1
1
1
1
1
1
1
10
1
3
1
1
1
3
1
3
1
3
6
6
1
2
4
1
1
4
1
1
1
1
1
1
1
2
1
2
1
4
1
1
6
2
1
3
1
10
7
2
2
1
1
1
1
1
1
5
1
1
3
1
1
1
1
2
2
1
1
1
1
2
1
1
4
1
1
2
3
1
1
1
1
1
1
1
1
4
3
2
1
3
12
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
2
25
1
1
1
1
86
1
1
1
1
1
4
1
1
2
1
2
1
7
1
1
1
1
1
1
1
83
1
1
1
3
1
1
1
2
2
3
2
1
1
1
4
1
1
7
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
3
1
3
2
1
3
1
2
1
11
1
2
1
1
2
5
2
2
1
1
1
1
1
1
2
182
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
1
1
5
1
1
1
1
1
2
1
1
1
2
1
4
1
1
1
2
1
2
3
1
2
12
7
2
3
1
1
2
1
1
1
1
1
1
2
1
2
4
10
2
2
1
4
1
1
1
1
1
1
2
1
2
1
1
1
1
1
7
1
1
2
3
5
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
4
5
1
1
3
2
1
1
1
1
1
2
2
1
1
4
26
6
2
2
2
1
1
1
1
8
1
1
20
1
2
2
5
17
1
1
2
2
1
1
1
2
1
3
1
1
6
1
1
2
6
2
25
1
1
1
3
2
4
1
2
1
3
1
1
1
1
1
1
2
1
3
1
1
3
1
9
1
1
1
1
1
1
10
2
1
1
3
1
3
1
3
1
1
1
4
1
1
1
3
1
2
3
1
1
2
1
3
3
6
1
1
2
2
1
1
10
1
3
5
1
1
1
1
1
1
1
1
1
2
1
2
1
1
9
2
1
1
1
5
1
1
1
3
1
1
1
1
1
1
2
1
20
1
2
5
1
1
3
2
2
1
2
2
1
2
1
1
1
2
1
1
1
1
1
4
3
1
1
4
1
1
1
2
1
1
1
1
2
1
2
7
1
1
1
2
1
2
1
4
1
1
2
8
1
1
1
2
6
1
1
1
1
1
1
2
47
1
1
1
1
1
2
1
1
2
1
1
1
2
1
3
1
4
3
1
1
1
1
10
1
1
1
1
1
5
3
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
4
1
2
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
5
1
1
1
4
1
1
1
1
1
1
1
1
3
1
1
1
1
5
1
2
1
1
1
2
1
1
1
1
2
1
2
1
2
1
1
1
1
1
1
2
1
4
1
1
1
1
1
2
1
2
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
1
1
1
4
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
3
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
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
2
3
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
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
4
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
4
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
6
1
2
7
1
1
1
1
1
2
2
1
1
4
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
3
2
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
1
1
1
2
3
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
25
2
1
1
1
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
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
3
1
2
1
2
1
1
1
1
1
2
1
1
2
1
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
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
1
1
13
1
1
1
2
2
2
1
1
1
1
10
1
1
1
1
2
1
4
1
1
11
6
1
1
1
1
1
2
1
1
1
5
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
3
1
5
1
1
1
1
1
1
1
2
2
589
1
1
2
1
1
1
1
1
1
2
1
1
2
1
2
8
3
1
1
4
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
2
3
4
1
1
1
2
1
2
2
2
1
115
2
1
3
2
1
5
1
1
7
1
3
1
1
1
1
1
1
2
11
1
1
1
4
1
2
1
2
1
3
1
1
6
1
4
2
1
1
2
1
9
2
3
7
4
8
8
4
1
2
1
3
1
1
1
1
1
1
18
1
1
1
1
1
4
3
1
1
2
1
1
3
2
1
2
2
2
1
1
2
1
4
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
2
2
2
6
1
8
2
1
1
1
1
1
2
1
1
1
1
1
4
1
1
1
2
1
2
2
2
1
1
1
1
1
2
3
2
1
1
1
1
2
2
22
1
1
2
1
1
1
1
3
1
2
1
1
1
1
1
1
2
1
2
2
1
2
1
2
2
3
2
5
1
1
1
1
1
2
1
2
1
1
1
3
1
1
2
1
3
1
1
1
1
2
1
1
1
1
1
5
1
2
1
1
1
1
1
1
1
1
2
16
1
1
2
1
3
1
2
1
7
1
1
6
1
1
1
1
2
3
1
2
1
1
2
1
1
1
1
1
1
2
15
5
1
1
14
1
1
1
1
1
1
1
1
10
1
1
2
1
1
1
1
2
37
1
1
1
3
5
7
2
10
1
1
1
1
4
1
7
1
2
1
3
4
1
1
2
3
2
1
5
2
1
7
1
1
2
1
1
1
1
8
1
3
1
1
1
1
2
1
1
13
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
6
1
9
1
2
1
1
1
1
1
2
1
1
1
2
2
1
1
1
16
4
2
32
1
2
1
1
1
4
3
1
2
1
1
2
2
1
1
2
1
3
1
1
1
1
8
1
1
2
2
3
1
1
1
1
1
1
1
1
1
1
2
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
3
1
6
4
1
1
2
1
2
1
3
2
1
1
1
3
1
1
2
2
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
1
4
1
1
1
2
1
1
1
4
3
1
1
2
2
1
6
1
8
2
1
1
3
1
1
1
1
1
7
1
8
8
1
1
1
2
1
1
3
1
2
1
2
1
2
1
2
7
1
1
1
2
1
2
5
1
1
2
1
1
2
6
4
1
2
1
1
1
2
2
1
1
1
1
2
1
1
1
1
3
1
2
1
1
3
12
14
1
1
1
1
4
3
1
2
10
2
1
2
4
4
1
3
1
1
1
3
2
1
1
1
7
1
3
4
3
1
1
1
1
1
1
3
1
1
1
1
3
1
1
32
1
2
1
5
1
6
7
1
14
4
1
4
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
1
1
1
2
2
1
1
1
2
1
2
8
2
1
1
1
2
1
2
2
1
1
1
1
2
5
5
2
12
2
1
1
2
1
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
1
2
1
1
1
1
5
2
1
2
1
1
1
1
1
1
4
1
1
1
1
1
2
1
1
2
1
22
1
1
1
8
1
1
2
2
5
2
1
5
1
2
1
1
1
1
2
4
1
1
1
2
1
1
2
4
2
1
1
1
9
1
1
1
1
1
1
1
16
1
28
2
1
1
1
8
1
29
4
1
3
1
1
4
1
13
1
1
1
1
3
1
1
2
1
3
1
3
2
1
1
1
1
1
1
3
1
6
3
1
20
3
6
1
1
2
8
7
1
11
1
1
1
131
1
2
1
1
1
3
1
1
3
5
2
1
192
1
3
6
1
1
1
2
3
1
4
3
1
2
2
1
5
3
2
3
6
2
2
5
1
8
1
1
1
1
1
2
6
3
4
1
1
2
10
2
1
5
1
1
1
1
3
2
4
2
1
3
3
2
1
2
26
1
1
4
1
5
7
1
2
3
1
1
22
1
4
2
4
1
1
12
3
1
11
1
3
2
2
1
1
4
2
1
2
1
2
2
2
1
2
1
1
2
5
1
1
1
2
2
1
1
1
18
1
12
1
3
3
4
1
4
61
2
1
2
1
4
3
1
1
2
1
9
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
1
3
1
1
1
1
2
2
5
1
6
1
2
2
1
5
1
1
1
3
2
1
2
2
2
2
7
1
1
2
1
1
1
1
3
1
1
3
2
1
1
1
1
3
1
2
1
13
1
31
6
1
9
1
10
1
1
1
10
5
1
2
3
4
1
6
1
1
2
21
8
1
1
1
2
1
1
1
6
24
1
2
2
1
3
1
1
1
9
2
6
1
1
1
5
1
1
1
12
1
2
28
1
1
1
1
4
4
1
1
1
3
1
1
1
1
3
1
1
2
2
1
2
7
2
3
339
1
1
1
2
1
2
1
1
1
1
38
1
1
6
2
5
30
1
2
1
2
1
1
1
1
7
2
6
3
1
1
1
2
1
1
13
2
5
1
1
1
1
1
1
1
3
5
3
13
2
2
2
9
